Description of fast matrix multiplication algorithm: ⟨3×20×24:1068⟩

Algorithm type

X2Y12Z2+XY12Z2+6X3Y8Z3+6XY12Z+5X2Y9Z2+30X3Y6Z3+22X2Y8Z2+5XY9Z2+2X2Y8Z+10XY9Z+36X3Y4Z3+56X2Y6Z2+26XY8Z+10X2Y6Z+6XY6Z2+53X2Y4Z2+58XY6Z+13X2Y4Z+25X2Y3Z2+16XY5Z+3XY4Z2+5X2Y3Z+66X2Y2Z2+123XY4Z+15XY3Z2+6X2Y2Z+115XY3Z+18XY2Z2+158XY2Z+172XYZX2Y12Z2XY12Z26X3Y8Z36XY12Z5X2Y9Z230X3Y6Z322X2Y8Z25XY9Z22X2Y8Z10XY9Z36X3Y4Z356X2Y6Z226XY8Z10X2Y6Z6XY6Z253X2Y4Z258XY6Z13X2Y4Z25X2Y3Z216XY5Z3XY4Z25X2Y3Z66X2Y2Z2123XY4Z15XY3Z26X2Y2Z115XY3Z18XY2Z2158XY2Z172XYZX^2*Y^12*Z^2+X*Y^12*Z^2+6*X^3*Y^8*Z^3+6*X*Y^12*Z+5*X^2*Y^9*Z^2+30*X^3*Y^6*Z^3+22*X^2*Y^8*Z^2+5*X*Y^9*Z^2+2*X^2*Y^8*Z+10*X*Y^9*Z+36*X^3*Y^4*Z^3+56*X^2*Y^6*Z^2+26*X*Y^8*Z+10*X^2*Y^6*Z+6*X*Y^6*Z^2+53*X^2*Y^4*Z^2+58*X*Y^6*Z+13*X^2*Y^4*Z+25*X^2*Y^3*Z^2+16*X*Y^5*Z+3*X*Y^4*Z^2+5*X^2*Y^3*Z+66*X^2*Y^2*Z^2+123*X*Y^4*Z+15*X*Y^3*Z^2+6*X^2*Y^2*Z+115*X*Y^3*Z+18*X*Y^2*Z^2+158*X*Y^2*Z+172*X*Y*Z

Algorithm definition

The algorithm ⟨3×20×24:1068⟩ could be constructed using the following decomposition:

⟨3×20×24:1068⟩ = ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩ + ⟨2×4×4:26⟩ + ⟨2×4×4:26⟩ + ⟨1×4×4:16⟩ + ⟨1×4×4:16⟩.

This decomposition is defined by the following equality:

TraceMulA_1_1A_1_2A_1_3A_1_4A_1_5A_1_6A_1_7A_1_8A_1_9A_1_10A_1_11A_1_12A_1_13A_1_14A_1_15A_1_16A_1_17A_1_18A_1_19A_1_20A_2_1A_2_2A_2_3A_2_4A_2_5A_2_6A_2_7A_2_8A_2_9A_2_10A_2_11A_2_12A_2_13A_2_14A_2_15A_2_16A_2_17A_2_18A_2_19A_2_20A_3_1A_3_2A_3_3A_3_4A_3_5A_3_6A_3_7A_3_8A_3_9A_3_10A_3_11A_3_12A_3_13A_3_14A_3_15A_3_16A_3_17A_3_18A_3_19A_3_20B_1_1B_1_2B_1_3B_1_4B_1_5B_1_6B_1_7B_1_8B_1_9B_1_10B_1_11B_1_12B_1_13B_1_14B_1_15B_1_16B_1_17B_1_18B_1_19B_1_20B_1_21B_1_22B_1_23B_1_24B_2_1B_2_2B_2_3B_2_4B_2_5B_2_6B_2_7B_2_8B_2_9B_2_10B_2_11B_2_12B_2_13B_2_14B_2_15B_2_16B_2_17B_2_18B_2_19B_2_20B_2_21B_2_22B_2_23B_2_24B_3_1B_3_2B_3_3B_3_4B_3_5B_3_6B_3_7B_3_8B_3_9B_3_10B_3_11B_3_12B_3_13B_3_14B_3_15B_3_16B_3_17B_3_18B_3_19B_3_20B_3_21B_3_22B_3_23B_3_24B_4_1B_4_2B_4_3B_4_4B_4_5B_4_6B_4_7B_4_8B_4_9B_4_10B_4_11B_4_12B_4_13B_4_14B_4_15B_4_16B_4_17B_4_18B_4_19B_4_20B_4_21B_4_22B_4_23B_4_24B_5_1B_5_2B_5_3B_5_4B_5_5B_5_6B_5_7B_5_8B_5_9B_5_10B_5_11B_5_12B_5_13B_5_14B_5_15B_5_16B_5_17B_5_18B_5_19B_5_20B_5_21B_5_22B_5_23B_5_24B_6_1B_6_2B_6_3B_6_4B_6_5B_6_6B_6_7B_6_8B_6_9B_6_10B_6_11B_6_12B_6_13B_6_14B_6_15B_6_16B_6_17B_6_18B_6_19B_6_20B_6_21B_6_22B_6_23B_6_24B_7_1B_7_2B_7_3B_7_4B_7_5B_7_6B_7_7B_7_8B_7_9B_7_10B_7_11B_7_12B_7_13B_7_14B_7_15B_7_16B_7_17B_7_18B_7_19B_7_20B_7_21B_7_22B_7_23B_7_24B_8_1B_8_2B_8_3B_8_4B_8_5B_8_6B_8_7B_8_8B_8_9B_8_10B_8_11B_8_12B_8_13B_8_14B_8_15B_8_16B_8_17B_8_18B_8_19B_8_20B_8_21B_8_22B_8_23B_8_24B_9_1B_9_2B_9_3B_9_4B_9_5B_9_6B_9_7B_9_8B_9_9B_9_10B_9_11B_9_12B_9_13B_9_14B_9_15B_9_16B_9_17B_9_18B_9_19B_9_20B_9_21B_9_22B_9_23B_9_24B_10_1B_10_2B_10_3B_10_4B_10_5B_10_6B_10_7B_10_8B_10_9B_10_10B_10_11B_10_12B_10_13B_10_14B_10_15B_10_16B_10_17B_10_18B_10_19B_10_20B_10_21B_10_22B_10_23B_10_24B_11_1B_11_2B_11_3B_11_4B_11_5B_11_6B_11_7B_11_8B_11_9B_11_10B_11_11B_11_12B_11_13B_11_14B_11_15B_11_16B_11_17B_11_18B_11_19B_11_20B_11_21B_11_22B_11_23B_11_24B_12_1B_12_2B_12_3B_12_4B_12_5B_12_6B_12_7B_12_8B_12_9B_12_10B_12_11B_12_12B_12_13B_12_14B_12_15B_12_16B_12_17B_12_18B_12_19B_12_20B_12_21B_12_22B_12_23B_12_24B_13_1B_13_2B_13_3B_13_4B_13_5B_13_6B_13_7B_13_8B_13_9B_13_10B_13_11B_13_12B_13_13B_13_14B_13_15B_13_16B_13_17B_13_18B_13_19B_13_20B_13_21B_13_22B_13_23B_13_24B_14_1B_14_2B_14_3B_14_4B_14_5B_14_6B_14_7B_14_8B_14_9B_14_10B_14_11B_14_12B_14_13B_14_14B_14_15B_14_16B_14_17B_14_18B_14_19B_14_20B_14_21B_14_22B_14_23B_14_24B_15_1B_15_2B_15_3B_15_4B_15_5B_15_6B_15_7B_15_8B_15_9B_15_10B_15_11B_15_12B_15_13B_15_14B_15_15B_15_16B_15_17B_15_18B_15_19B_15_20B_15_21B_15_22B_15_23B_15_24B_16_1B_16_2B_16_3B_16_4B_16_5B_16_6B_16_7B_16_8B_16_9B_16_10B_16_11B_16_12B_16_13B_16_14B_16_15B_16_16B_16_17B_16_18B_16_19B_16_20B_16_21B_16_22B_16_23B_16_24B_17_1B_17_2B_17_3B_17_4B_17_5B_17_6B_17_7B_17_8B_17_9B_17_10B_17_11B_17_12B_17_13B_17_14B_17_15B_17_16B_17_17B_17_18B_17_19B_17_20B_17_21B_17_22B_17_23B_17_24B_18_1B_18_2B_18_3B_18_4B_18_5B_18_6B_18_7B_18_8B_18_9B_18_10B_18_11B_18_12B_18_13B_18_14B_18_15B_18_16B_18_17B_18_18B_18_19B_18_20B_18_21B_18_22B_18_23B_18_24B_19_1B_19_2B_19_3B_19_4B_19_5B_19_6B_19_7B_19_8B_19_9B_19_10B_19_11B_19_12B_19_13B_19_14B_19_15B_19_16B_19_17B_19_18B_19_19B_19_20B_19_21B_19_22B_19_23B_19_24B_20_1B_20_2B_20_3B_20_4B_20_5B_20_6B_20_7B_20_8B_20_9B_20_10B_20_11B_20_12B_20_13B_20_14B_20_15B_20_16B_20_17B_20_18B_20_19B_20_20B_20_21B_20_22B_20_23B_20_24C_1_1C_1_2C_1_3C_2_1C_2_2C_2_3C_3_1C_3_2C_3_3C_4_1C_4_2C_4_3C_5_1C_5_2C_5_3C_6_1C_6_2C_6_3C_7_1C_7_2C_7_3C_8_1C_8_2C_8_3C_9_1C_9_2C_9_3C_10_1C_10_2C_10_3C_11_1C_11_2C_11_3C_12_1C_12_2C_12_3C_13_1C_13_2C_13_3C_14_1C_14_2C_14_3C_15_1C_15_2C_15_3C_16_1C_16_2C_16_3C_17_1C_17_2C_17_3C_18_1C_18_2C_18_3C_19_1C_19_2C_19_3C_20_1C_20_2C_20_3C_21_1C_21_2C_21_3C_22_1C_22_2C_22_3C_23_1C_23_2C_23_3C_24_1C_24_2C_24_3=TraceMulA_2_1A_2_2A_2_3A_2_4A_3_1A_3_2A_3_3A_3_4-B_5_1+B_1_1+a11+a21+1B_13_1a41B_1_2-B_5_2+a11+a21+1B_13_2a41B_1_3-B_5_3+a11+a21+1B_13_3a41B_1_4-B_5_4+a11+a21+1B_13_4a41B_2_1-B_6_1+a11+a21+1B_14_1a41B_2_2-B_6_2+a11+a21+1B_14_2a41B_2_3-B_6_3+a11+a21+1B_14_3a41B_2_4-B_6_4+a11+a21+1B_14_4a41B_3_1-B_7_1+a11+a21+1B_15_1a41B_3_2-B_7_2+a11+a21+1B_15_2a41B_3_3-B_7_3+a11+a21+1B_15_3a41B_3_4-B_7_4+a11+a21+1B_15_4a41B_4_1-B_8_1+a11+a21+1B_16_1a41B_4_2-B_8_2+a11+a21+1B_16_2a41B_4_3-B_8_3+a11+a21+1B_16_3a41B_4_4-B_8_4+a11+a21+1B_16_4a41C_1_2C_1_1+C_1_3C_2_2C_2_1+C_2_3C_3_2C_3_1+C_3_3C_4_2C_4_1+C_4_3+TraceMulA_1_5A_1_6A_1_7A_1_8B_9_1-a21+a11B_13_1a41-a21+a11+a31B_17_1a51-B_1_5+B_5_5-B_9_5+a21+a11+a31B_17_5a51B_9_2-a21+a11B_13_2a41-a21+a11+a31B_17_2a51-B_1_6+B_5_6-B_9_6+a21+a11+a31B_17_6a51B_9_3-a21+a11B_13_3a41-a21+a11+a31B_17_3a51-B_1_7+B_5_7-B_9_7+a21+a11+a31B_17_7a51B_9_4-a21+a11B_13_4a41-a21+a11+a31B_17_4a51-B_1_8+B_5_8-B_9_8+a21+a11+a31B_17_8a51B_10_1-a21+a11B_14_1a41-a21+a11+a31B_18_1a51-B_2_5+B_6_5-B_10_5+a21+a11+a31B_18_5a51B_10_2-a21+a11B_14_2a41-a21+a11+a31B_18_2a51-B_2_6+B_6_6-B_10_6+a21+a11+a31B_18_6a51B_10_3-a21+a11B_14_3a41-a21+a11+a31B_18_3a51-B_2_7+B_6_7-B_10_7+a21+a11+a31B_18_7a51B_10_4-a21+a11B_14_4a41-a21+a11+a31B_18_4a51-B_2_8+B_6_8-B_10_8+a21+a11+a31B_18_8a51B_1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_3_4A_3_8a21a11A_3_12a31a11a411A_3_16a11a511A_3_20a11B_1_13B_1_14B_1_15B_1_16B_2_13B_2_14B_2_15B_2_16B_3_13B_3_14B_3_15B_3_16B_4_13B_4_14B_4_15B_4_16C_13_2C_17_2C_21_2C_13_1C_17_1C_21_1C_13_3C_17_3C_21_3C_14_2C_18_2C_22_2C_14_1C_18_1C_22_1C_14_3C_18_3C_22_3C_15_2C_19_2C_23_2C_15_1C_19_1C_23_1C_15_3C_19_3C_23_3C_16_2C_20_2C_24_2C_16_1C_20_1C_24_1C_16_3C_20_3C_24_3TraceMulA_2_1a11a21-1A_2_5a31-1A_2_9A_2_13a41A_2_17a51A_2_2a11a21-1A_2_6a31-1A_2_10A_2_14a41A_2_18a51A_2_3a11a21-1A_2_7a31-1A_2_11A_2_15a41A_2_19a51A_2_4a11a21-1A_2_8a31-1A_2_12A_2_16a41A_2_20a51A_3_1a11a21-1A_3_5a31-1A_3_9A_3_13a41A_3_17a51A_3_2a11a21-1A_3_6a31-1A_3_10A_3_14a41A_3_18a51A_3_3a11a21-1A_3_7a31-1A_3_11A_3_15a41A_3_19a51A_3_4a11a21-1A_3_8a31-1A_3_12A_3_16a41A_3_20a51B_13_1a41B_17_1a51B_17_5a51B_13_2a41B_17_2a51B_17_6a51B_13_3a41B_17_3a51B_17_7a51B_13_4a41B_17_4a51B_17_8a51B_14_1a41B_18_1a51B_18_5a51B_14_2a41B_18_2a51B_18_6a51B_14_3a41B_18_3a51B_18_7a51B_14_4a41B_18_4a51B_18_8a51B_15_1a41B_19_1a51B_19_5a51B_15_2a41B_19_2a51B_19_6a51B_15_3a41B_19_3a51B_19_7a51B_15_4a41B_19_4a51B_19_8a51B_16_1a41B_20_1a51B_20_5a51B_16_2a41B_20_2a51B_20_6a51B_16_3a41B_20_3a51B_20_7a51B_16_4a41B_20_4a51B_20_8a51C_5_2C_9_2C_21_2C_5_1C_9_1C_21_1C_5_3C_9_3C_21_3C_6_2C_10_2C_22_2C_6_1C_10_1C_22_1C_6_3C_10_3C_22_3C_7_2C_11_2C_23_2C_11_1C_7_1C_23_1C_7_3C_11_3C_23_3C_8_2C_12_2C_24_2C_8_1C_12_1C_24_1C_8_3C_12_3C_24_3TraceMulA_1_1a11A_1_5a21A_1_9a31A_3_1a11A_3_5a21A_3_9a31a41-1A_1_13a411A_3_13a51-1A_1_17a511A_3_17A_1_10a31A_1_2a11A_1_6a21A_3_10a31A_3_2a11A_3_6a21a41-1A_1_14a411A_3_14a51-1A_1_18a511A_3_18A_1_11a31A_1_3a11A_1_7a21A_3_11a31A_3_3a11A_3_7a21a41-1A_1_15a411A_3_15a51-1A_1_19a511A_3_19A_1_12a31A_1_4a11A_1_8a21A_3_12a31A_3_4a11A_3_8a21a41-1A_1_16a411A_3_16a51-1A_1_20a511A_3_20a41B_5_21a21a31a41B_9_21a21a31B_13_21a41B_5_22a21a31a41B_9_22a21a31B_13_22a41B_5_23a21a31a41B_9_23a21a31B_13_23a41B_5_24a21a31a41B_9_24a21a31B_13_24a41B_6_21a21a31a41B_10_21a21a31B_14_21a41B_6_22a21a31a41B_10_22a21a31B_14_22a41B_6_23a21a31a41B_10_23a21a31B_14_23a41B_6_24a21a31a41B_10_24a21a31B_14_24a41B_7_21a21a31a41B_11_21a21a31B_15_21a41B_7_22a21a31a41B_11_22a21a31B_15_22a41B_7_23a21a31a41B_11_23a21a31B_15_23a41B_7_24a21a31a41B_11_24a21a31B_15_24a41B_8_21a21a31a41B_12_21a21a31B_16_21a41B_8_22a21a31a41B_12_22a21a31B_16_22a41B_8_23a21a31a41B_12_23a21a31B_16_23a41B_8_24a21a31a41B_12_24a21a31B_16_24C_13_1C_17_1C_21_1C_14_1C_18_1C_22_1C_15_1C_19_1C_23_1C_16_1C_20_1C_24_1TraceMulA_1_1a11A_3_1a11a21-1A_1_5a211A_3_5a31-1A_1_9a311A_3_9A_1_13a41A_3_13a41A_1_17a51A_3_17a51A_1_2a11A_3_2a11a21-1A_1_6a211A_3_6a31-1A_1_10a311A_3_10A_1_14a41A_3_14a41A_1_18a51A_3_18a51A_1_3a11A_3_3a11a21-1A_1_7a211A_3_7a31-1A_1_11a311A_3_11A_1_15a41A_3_15a41A_1_19a51A_3_19a51A_1_4a11A_3_4a11a21-1A_1_8a211A_3_8a31-1A_1_12a311A_3_12A_1_16a41A_3_16a41A_1_20a51A_3_20a51a31B_5_21a21a31a21B_9_21a21a31a31B_5_22a21a31a21B_9_22a21a31a31B_5_23a21a31a21B_9_23a21a31a31B_5_24a21a31a21B_9_24a21a31a31B_6_21a21a31a21B_10_21a21a31a31B_6_22a21a31a21B_10_22a21a31a31B_6_23a21a31a21B_10_23a21a31a31B_6_24a21a31a21B_10_24a21a31a31B_7_21a21a31a21B_11_21a21a31a31B_7_22a21a31a21B_11_22a21a31a31B_7_23a21a31a21B_11_23a21a31a31B_7_24a21a31a21B_11_24a21a31a31B_8_21a21a31a21B_12_21a21a31a31B_8_22a21a31a21B_12_22a21a31a31B_8_23a21a31a21B_12_23a21a31a31B_8_24a21a31a21B_12_24a21a31C_5_1C_9_1C_21_1C_6_1C_10_1C_22_1C_11_1C_7_1C_23_1C_8_1C_12_1C_24_1Trace(Mul(Matrix(3, 20, [[A_1_1,A_1_2,A_1_3,A_1_4,A_1_5,A_1_6,A_1_7,A_1_8,A_1_9,A_1_10,A_1_11,A_1_12,A_1_13,A_1_14,A_1_15,A_1_16,A_1_17,A_1_18,A_1_19,A_1_20],[A_2_1,A_2_2,A_2_3,A_2_4,A_2_5,A_2_6,A_2_7,A_2_8,A_2_9,A_2_10,A_2_11,A_2_12,A_2_13,A_2_14,A_2_15,A_2_16,A_2_17,A_2_18,A_2_19,A_2_20],[A_3_1,A_3_2,A_3_3,A_3_4,A_3_5,A_3_6,A_3_7,A_3_8,A_3_9,A_3_10,A_3_11,A_3_12,A_3_13,A_3_14,A_3_15,A_3_16,A_3_17,A_3_18,A_3_19,A_3_20]]),Matrix(20, 24, [[B_1_1,B_1_2,B_1_3,B_1_4,B_1_5,B_1_6,B_1_7,B_1_8,B_1_9,B_1_10,B_1_11,B_1_12,B_1_13,B_1_14,B_1_15,B_1_16,B_1_17,B_1_18,B_1_19,B_1_20,B_1_21,B_1_22,B_1_23,B_1_24],[B_2_1,B_2_2,B_2_3,B_2_4,B_2_5,B_2_6,B_2_7,B_2_8,B_2_9,B_2_10,B_2_11,B_2_12,B_2_13,B_2_14,B_2_15,B_2_16,B_2_17,B_2_18,B_2_19,B_2_20,B_2_21,B_2_22,B_2_23,B_2_24],[B_3_1,B_3_2,B_3_3,B_3_4,B_3_5,B_3_6,B_3_7,B_3_8,B_3_9,B_3_10,B_3_11,B_3_12,B_3_13,B_3_14,B_3_15,B_3_16,B_3_17,B_3_18,B_3_19,B_3_20,B_3_21,B_3_22,B_3_23,B_3_24],[B_4_1,B_4_2,B_4_3,B_4_4,B_4_5,B_4_6,B_4_7,B_4_8,B_4_9,B_4_10,B_4_11,B_4_12,B_4_13,B_4_14,B_4_15,B_4_16,B_4_17,B_4_18,B_4_19,B_4_20,B_4_21,B_4_22,B_4_23,B_4_24],[B_5_1,B_5_2,B_5_3,B_5_4,B_5_5,B_5_6,B_5_7,B_5_8,B_5_9,B_5_10,B_5_11,B_5_12,B_5_13,B_5_14,B_5_15,B_5_16,B_5_17,B_5_18,B_5_19,B_5_20,B_5_21,B_5_22,B_5_23,B_5_24],[B_6_1,B_6_2,B_6_3,B_6_4,B_6_5,B_6_6,B_6_7,B_6_8,B_6_9,B_6_10,B_6_11,B_6_12,B_6_13,B_6_14,B_6_15,B_6_16,B_6_17,B_6_18,B_6_19,B_6_20,B_6_21,B_6_22,B_6_23,B_6_24],[B_7_1,B_7_2,B_7_3,B_7_4,B_7_5,B_7_6,B_7_7,B_7_8,B_7_9,B_7_10,B_7_11,B_7_12,B_7_13,B_7_14,B_7_15,B_7_16,B_7_17,B_7_18,B_7_19,B_7_20,B_7_21,B_7_22,B_7_23,B_7_24],[B_8_1,B_8_2,B_8_3,B_8_4,B_8_5,B_8_6,B_8_7,B_8_8,B_8_9,B_8_10,B_8_11,B_8_12,B_8_13,B_8_14,B_8_15,B_8_16,B_8_17,B_8_18,B_8_19,B_8_20,B_8_21,B_8_22,B_8_23,B_8_24],[B_9_1,B_9_2,B_9_3,B_9_4,B_9_5,B_9_6,B_9_7,B_9_8,B_9_9,B_9_10,B_9_11,B_9_12,B_9_13,B_9_14,B_9_15,B_9_16,B_9_17,B_9_18,B_9_19,B_9_20,B_9_21,B_9_22,B_9_23,B_9_24],[B_10_1,B_10_2,B_10_3,B_10_4,B_10_5,B_10_6,B_10_7,B_10_8,B_10_9,B_10_10,B_10_11,B_10_12,B_10_13,B_10_14,B_10_15,B_10_16,B_10_17,B_10_18,B_10_19,B_10_20,B_10_21,B_10_22,B_10_23,B_10_24],[B_11_1,B_11_2,B_11_3,B_11_4,B_11_5,B_11_6,B_11_7,B_11_8,B_11_9,B_11_10,B_11_11,B_11_12,B_11_13,B_11_14,B_11_15,B_11_16,B_11_17,B_11_18,B_11_19,B_11_20,B_11_21,B_11_22,B_11_23,B_11_24],[B_12_1,B_12_2,B_12_3,B_12_4,B_12_5,B_12_6,B_12_7,B_12_8,B_12_9,B_12_10,B_12_11,B_12_12,B_12_13,B_12_14,B_12_15,B_12_16,B_12_17,B_12_18,B_12_19,B_12_20,B_12_21,B_12_22,B_12_23,B_12_24],[B_13_1,B_13_2,B_13_3,B_13_4,B_13_5,B_13_6,B_13_7,B_13_8,B_13_9,B_13_10,B_13_11,B_13_12,B_13_13,B_13_14,B_13_15,B_13_16,B_13_17,B_13_18,B_13_19,B_13_20,B_13_21,B_13_22,B_13_23,B_13_24],[B_14_1,B_14_2,B_14_3,B_14_4,B_14_5,B_14_6,B_14_7,B_14_8,B_14_9,B_14_10,B_14_11,B_14_12,B_14_13,B_14_14,B_14_15,B_14_16,B_14_17,B_14_18,B_14_19,B_14_20,B_14_21,B_14_22,B_14_23,B_14_24],[B_15_1,B_15_2,B_15_3,B_15_4,B_15_5,B_15_6,B_15_7,B_15_8,B_15_9,B_15_10,B_15_11,B_15_12,B_15_13,B_15_14,B_15_15,B_15_16,B_15_17,B_15_18,B_15_19,B_15_20,B_15_21,B_15_22,B_15_23,B_15_24],[B_16_1,B_16_2,B_16_3,B_16_4,B_16_5,B_16_6,B_16_7,B_16_8,B_16_9,B_16_10,B_16_11,B_16_12,B_16_13,B_16_14,B_16_15,B_16_16,B_16_17,B_16_18,B_16_19,B_16_20,B_16_21,B_16_22,B_16_23,B_16_24],[B_17_1,B_17_2,B_17_3,B_17_4,B_17_5,B_17_6,B_17_7,B_17_8,B_17_9,B_17_10,B_17_11,B_17_12,B_17_13,B_17_14,B_17_15,B_17_16,B_17_17,B_17_18,B_17_19,B_17_20,B_17_21,B_17_22,B_17_23,B_17_24],[B_18_1,B_18_2,B_18_3,B_18_4,B_18_5,B_18_6,B_18_7,B_18_8,B_18_9,B_18_10,B_18_11,B_18_12,B_18_13,B_18_14,B_18_15,B_18_16,B_18_17,B_18_18,B_18_19,B_18_20,B_18_21,B_18_22,B_18_23,B_18_24],[B_19_1,B_19_2,B_19_3,B_19_4,B_19_5,B_19_6,B_19_7,B_19_8,B_19_9,B_19_10,B_19_11,B_19_12,B_19_13,B_19_14,B_19_15,B_19_16,B_19_17,B_19_18,B_19_19,B_19_20,B_19_21,B_19_22,B_19_23,B_19_24],[B_20_1,B_20_2,B_20_3,B_20_4,B_20_5,B_20_6,B_20_7,B_20_8,B_20_9,B_20_10,B_20_11,B_20_12,B_20_13,B_20_14,B_20_15,B_20_16,B_20_17,B_20_18,B_20_19,B_20_20,B_20_21,B_20_22,B_20_23,B_20_24]]),Matrix(24, 3, [[C_1_1,C_1_2,C_1_3],[C_2_1,C_2_2,C_2_3],[C_3_1,C_3_2,C_3_3],[C_4_1,C_4_2,C_4_3],[C_5_1,C_5_2,C_5_3],[C_6_1,C_6_2,C_6_3],[C_7_1,C_7_2,C_7_3],[C_8_1,C_8_2,C_8_3],[C_9_1,C_9_2,C_9_3],[C_10_1,C_10_2,C_10_3],[C_11_1,C_11_2,C_11_3],[C_12_1,C_12_2,C_12_3],[C_13_1,C_13_2,C_13_3],[C_14_1,C_14_2,C_14_3],[C_15_1,C_15_2,C_15_3],[C_16_1,C_16_2,C_16_3],[C_17_1,C_17_2,C_17_3],[C_18_1,C_18_2,C_18_3],[C_19_1,C_19_2,C_19_3],[C_20_1,C_20_2,C_20_3],[C_21_1,C_21_2,C_21_3],[C_22_1,C_22_2,C_22_3],[C_23_1,C_23_2,C_23_3],[C_24_1,C_24_2,C_24_3]]))) = Trace(Mul(Matrix(2, 4, [[A_2_1,A_2_2,A_2_3,A_2_4],[A_3_1,A_3_2,A_3_3,A_3_4]]),Matrix(4, 4, [[-B_5_1+B_1_1+(a11+a21+1)/a41*B_13_1,B_1_2-B_5_2+(a11+a21+1)/a41*B_13_2,B_1_3-B_5_3+(a11+a21+1)/a41*B_13_3,B_1_4-B_5_4+(a11+a21+1)/a41*B_13_4],[B_2_1-B_6_1+(a11+a21+1)/a41*B_14_1,B_2_2-B_6_2+(a11+a21+1)/a41*B_14_2,B_2_3-B_6_3+(a11+a21+1)/a41*B_14_3,B_2_4-B_6_4+(a11+a21+1)/a41*B_14_4],[B_3_1-B_7_1+(a11+a21+1)/a41*B_15_1,B_3_2-B_7_2+(a11+a21+1)/a41*B_15_2,B_3_3-B_7_3+(a11+a21+1)/a41*B_15_3,B_3_4-B_7_4+(a11+a21+1)/a41*B_15_4],[B_4_1-B_8_1+(a11+a21+1)/a41*B_16_1,B_4_2-B_8_2+(a11+a21+1)/a41*B_16_2,B_4_3-B_8_3+(a11+a21+1)/a41*B_16_3,B_4_4-B_8_4+(a11+a21+1)/a41*B_16_4]]),Matrix(4, 2, [[C_1_2,C_1_1+C_1_3],[C_2_2,C_2_1+C_2_3],[C_3_2,C_3_1+C_3_3],[C_4_2,C_4_1+C_4_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_5,A_1_6,A_1_7,A_1_8]]),Matrix(4, 4, [[B_9_1-(a21+a11)/a41*B_13_1-(a21+a11+a31)/a51*B_17_1-B_1_5+B_5_5-B_9_5+(a21+a11+a31)/a51*B_17_5,B_9_2-(a21+a11)/a41*B_13_2-(a21+a11+a31)/a51*B_17_2-B_1_6+B_5_6-B_9_6+(a21+a11+a31)/a51*B_17_6,B_9_3-(a21+a11)/a41*B_13_3-(a21+a11+a31)/a51*B_17_3-B_1_7+B_5_7-B_9_7+(a21+a11+a31)/a51*B_17_7,B_9_4-(a21+a11)/a41*B_13_4-(a21+a11+a31)/a51*B_17_4-B_1_8+B_5_8-B_9_8+(a21+a11+a31)/a51*B_17_8],[B_10_1-(a21+a11)/a41*B_14_1-(a21+a11+a31)/a51*B_18_1-B_2_5+B_6_5-B_10_5+(a21+a11+a31)/a51*B_18_5,B_10_2-(a21+a11)/a41*B_14_2-(a21+a11+a31)/a51*B_18_2-B_2_6+B_6_6-B_10_6+(a21+a11+a31)/a51*B_18_6,B_10_3-(a21+a11)/a41*B_14_3-(a21+a11+a31)/a51*B_18_3-B_2_7+B_6_7-B_10_7+(a21+a11+a31)/a51*B_18_7,B_10_4-(a21+a11)/a41*B_14_4-(a21+a11+a31)/a51*B_18_4-B_2_8+B_6_8-B_10_8+(a21+a11+a31)/a51*B_18_8],[B_11_1-(a21+a11)/a41*B_15_1-(a21+a11+a31)/a51*B_19_1-B_3_5+B_7_5-B_11_5+(a21+a11+a31)/a51*B_19_5,B_11_2-(a21+a11)/a41*B_15_2-(a21+a11+a31)/a51*B_19_2-B_3_6+B_7_6-B_11_6+(a21+a11+a31)/a51*B_19_6,B_11_3-(a21+a11)/a41*B_15_3-(a21+a11+a31)/a51*B_19_3-B_3_7+B_7_7-B_11_7+(a21+a11+a31)/a51*B_19_7,B_11_4-(a21+a11)/a41*B_15_4-(a21+a11+a31)/a51*B_19_4-B_3_8+B_7_8-B_11_8+(a21+a11+a31)/a51*B_19_8],[B_12_1-(a21+a11)/a41*B_16_1-(a21+a11+a31)/a51*B_20_1-B_4_5+B_8_5-B_12_5+(a21+a11+a31)/a51*B_20_5,B_12_2-(a21+a11)/a41*B_16_2-(a21+a11+a31)/a51*B_20_2-B_4_6+B_8_6-B_12_6+(a21+a11+a31)/a51*B_20_6,B_12_3-(a21+a11)/a41*B_16_3-(a21+a11+a31)/a51*B_20_3-B_4_7+B_8_7-B_12_7+(a21+a11+a31)/a51*B_20_7,B_12_4-(a21+a11)/a41*B_16_4-(a21+a11+a31)/a51*B_20_4-B_4_8+B_8_8-B_12_8+(a21+a11+a31)/a51*B_20_8]]),Matrix(4, 1, [[C_5_1+C_5_3],[C_6_1+C_6_3],[C_7_1+C_7_3],[C_8_1+C_8_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_9,A_2_10,A_2_11,A_2_12],[A_3_9,A_3_10,A_3_11,A_3_12]]),Matrix(4, 4, [[B_9_1+(a21+a11+2*a31)/a41*B_13_1+(a21+a11+a31)/a51*B_17_1+B_13_5-(a21+a11+a31)/a51*B_17_5+B_1_9-B_5_9+B_9_9-B_13_9,B_9_2+(a21+a11+2*a31)/a41*B_13_2+(a21+a11+a31)/a51*B_17_2+B_13_6-(a21+a11+a31)/a51*B_17_6+B_1_10-B_5_10+B_9_10-B_13_10,B_9_3+(a21+a11+2*a31)/a41*B_13_3+(a21+a11+a31)/a51*B_17_3+B_13_7-(a21+a11+a31)/a51*B_17_7+B_1_11-B_5_11+B_9_11-B_13_11,B_9_4+(a21+a11+2*a31)/a41*B_13_4+(a21+a11+a31)/a51*B_17_4+B_13_8-(a21+a11+a31)/a51*B_17_8+B_1_12-B_5_12+B_9_12-B_13_12],[B_10_1+(a21+a11+2*a31)/a41*B_14_1+(a21+a11+a31)/a51*B_18_1+B_14_5-(a21+a11+a31)/a51*B_18_5+B_2_9-B_6_9+B_10_9-B_14_9,B_10_2+(a21+a11+2*a31)/a41*B_14_2+(a21+a11+a31)/a51*B_18_2+B_14_6-(a21+a11+a31)/a51*B_18_6+B_2_10-B_6_10+B_10_10-B_14_10,B_10_3+(a21+a11+2*a31)/a41*B_14_3+(a21+a11+a31)/a51*B_18_3+B_14_7-(a21+a11+a31)/a51*B_18_7+B_2_11-B_6_11+B_10_11-B_14_11,B_10_4+(a21+a11+2*a31)/a41*B_14_4+(a21+a11+a31)/a51*B_18_4+B_14_8-(a21+a11+a31)/a51*B_18_8+B_2_12-B_6_12+B_10_12-B_14_12],[B_11_1+(a21+a11+2*a31)/a41*B_15_1+(a21+a11+a31)/a51*B_19_1+B_15_5-(a21+a11+a31)/a51*B_19_5+B_3_9-B_7_9+B_11_9-B_15_9,B_11_2+(a21+a11+2*a31)/a41*B_15_2+(a21+a11+a31)/a51*B_19_2+B_15_6-(a21+a11+a31)/a51*B_19_6+B_3_10-B_7_10+B_11_10-B_15_10,B_11_3+(a21+a11+2*a31)/a41*B_15_3+(a21+a11+a31)/a51*B_19_3+B_15_7-(a21+a11+a31)/a51*B_19_7+B_3_11-B_7_11+B_11_11-B_15_11,B_11_4+(a21+a11+2*a31)/a41*B_15_4+(a21+a11+a31)/a51*B_19_4+B_15_8-(a21+a11+a31)/a51*B_19_8+B_3_12-B_7_12+B_11_12-B_15_12],[B_12_1+(a21+a11+2*a31)/a41*B_16_1+(a21+a11+a31)/a51*B_20_1+B_16_5-(a21+a11+a31)/a51*B_20_5+B_4_9-B_8_9+B_12_9-B_16_9,B_12_2+(a21+a11+2*a31)/a41*B_16_2+(a21+a11+a31)/a51*B_20_2+B_16_6-(a21+a11+a31)/a51*B_20_6+B_4_10-B_8_10+B_12_10-B_16_10,B_12_3+(a21+a11+2*a31)/a41*B_16_3+(a21+a11+a31)/a51*B_20_3+B_16_7-(a21+a11+a31)/a51*B_20_7+B_4_11-B_8_11+B_12_11-B_16_11,B_12_4+(a21+a11+2*a31)/a41*B_16_4+(a21+a11+a31)/a51*B_20_4+B_16_8-(a21+a11+a31)/a51*B_20_8+B_4_12-B_8_12+B_12_12-B_16_12]]),Matrix(4, 2, [[C_9_2,C_9_1+C_9_3],[C_10_2,C_10_1+C_10_3],[C_11_2,C_11_1+C_11_3],[C_12_2,C_12_1+C_12_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_13,A_1_14,A_1_15,A_1_16]]),Matrix(4, 4, [[-(-a51+a41)/a41*B_13_1-(-a51+a41)/a51*B_17_1+B_13_5+(-a51+a41)/a51*B_17_5+B_17_9+(a41+a51+a21+a31)/a11*B_1_13+B_5_13-B_9_13+B_13_13-B_17_13,-(-a51+a41)/a41*B_13_2-(-a51+a41)/a51*B_17_2+B_13_6+(-a51+a41)/a51*B_17_6+B_17_10+(a41+a51+a21+a31)/a11*B_1_14+B_5_14-B_9_14+B_13_14-B_17_14,-(-a51+a41)/a41*B_13_3-(-a51+a41)/a51*B_17_3+B_13_7+(-a51+a41)/a51*B_17_7+B_17_11+(a41+a51+a21+a31)/a11*B_1_15+B_5_15-B_9_15+B_13_15-B_17_15,-(-a51+a41)/a41*B_13_4-(-a51+a41)/a51*B_17_4+B_13_8+(-a51+a41)/a51*B_17_8+B_17_12+(a41+a51+a21+a31)/a11*B_1_16+B_5_16-B_9_16+B_13_16-B_17_16],[-(-a51+a41)/a41*B_14_1-(-a51+a41)/a51*B_18_1+B_14_5+(-a51+a41)/a51*B_18_5+B_18_9+(a41+a51+a21+a31)/a11*B_2_13+B_6_13-B_10_13+B_14_13-B_18_13,-(-a51+a41)/a41*B_14_2-(-a51+a41)/a51*B_18_2+B_14_6+(-a51+a41)/a51*B_18_6+B_18_10+(a41+a51+a21+a31)/a11*B_2_14+B_6_14-B_10_14+B_14_14-B_18_14,-(-a51+a41)/a41*B_14_3-(-a51+a41)/a51*B_18_3+B_14_7+(-a51+a41)/a51*B_18_7+B_18_11+(a41+a51+a21+a31)/a11*B_2_15+B_6_15-B_10_15+B_14_15-B_18_15,-(-a51+a41)/a41*B_14_4-(-a51+a41)/a51*B_18_4+B_14_8+(-a51+a41)/a51*B_18_8+B_18_12+(a41+a51+a21+a31)/a11*B_2_16+B_6_16-B_10_16+B_14_16-B_18_16],[-(-a51+a41)/a41*B_15_1-(-a51+a41)/a51*B_19_1+B_15_5+(-a51+a41)/a51*B_19_5+B_19_9+(a41+a51+a21+a31)/a11*B_3_13+B_7_13-B_11_13+B_15_13-B_19_13,-(-a51+a41)/a41*B_15_2-(-a51+a41)/a51*B_19_2+B_15_6+(-a51+a41)/a51*B_19_6+B_19_10+(a41+a51+a21+a31)/a11*B_3_14+B_7_14-B_11_14+B_15_14-B_19_14,-(-a51+a41)/a41*B_15_3-(-a51+a41)/a51*B_19_3+B_15_7+(-a51+a41)/a51*B_19_7+B_19_11+(a41+a51+a21+a31)/a11*B_3_15+B_7_15-B_11_15+B_15_15-B_19_15,-(-a51+a41)/a41*B_15_4-(-a51+a41)/a51*B_19_4+B_15_8+(-a51+a41)/a51*B_19_8+B_19_12+(a41+a51+a21+a31)/a11*B_3_16+B_7_16-B_11_16+B_15_16-B_19_16],[-(-a51+a41)/a41*B_16_1-(-a51+a41)/a51*B_20_1+B_16_5+(-a51+a41)/a51*B_20_5+B_20_9+(a41+a51+a21+a31)/a11*B_4_13+B_8_13-B_12_13+B_16_13-B_20_13,-(-a51+a41)/a41*B_16_2-(-a51+a41)/a51*B_20_2+B_16_6+(-a51+a41)/a51*B_20_6+B_20_10+(a41+a51+a21+a31)/a11*B_4_14+B_8_14-B_12_14+B_16_14-B_20_14,-(-a51+a41)/a41*B_16_3-(-a51+a41)/a51*B_20_3+B_16_7+(-a51+a41)/a51*B_20_7+B_20_11+(a41+a51+a21+a31)/a11*B_4_15+B_8_15-B_12_15+B_16_15-B_20_15,-(-a51+a41)/a41*B_16_4-(-a51+a41)/a51*B_20_4+B_16_8+(-a51+a41)/a51*B_20_8+B_20_12+(a41+a51+a21+a31)/a11*B_4_16+B_8_16-B_12_16+B_16_16-B_20_16]]),Matrix(4, 1, [[C_13_1+C_13_3],[C_14_1+C_14_3],[C_15_1+C_15_3],[C_16_1+C_16_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_17,A_2_18,A_2_19,A_2_20],[A_3_17,A_3_18,A_3_19,A_3_20]]),Matrix(4, 4, [[2*a51/a41*B_13_1+2*B_17_1-B_17_5+B_17_9+1/a11*B_1_13-(a31+a41+a51+1)/(a21+a11)*B_1_17+(a31+a41+a51+1)/(a21+a11)*B_5_17+B_9_17-B_13_17+B_17_17,2*a51/a41*B_13_2+2*B_17_2-B_17_6+B_17_10+1/a11*B_1_14-(a31+a41+a51+1)/(a21+a11)*B_1_18+(a31+a41+a51+1)/(a21+a11)*B_5_18+B_9_18-B_13_18+B_17_18,2*a51/a41*B_13_3+2*B_17_3-B_17_7+B_17_11+1/a11*B_1_15-(a31+a41+a51+1)/(a21+a11)*B_1_19+(a31+a41+a51+1)/(a21+a11)*B_5_19+B_9_19-B_13_19+B_17_19,2*a51/a41*B_13_4+2*B_17_4-B_17_8+B_17_12+1/a11*B_1_16-(a31+a41+a51+1)/(a21+a11)*B_1_20+(a31+a41+a51+1)/(a21+a11)*B_5_20+B_9_20-B_13_20+B_17_20],[2*a51/a41*B_14_1+2*B_18_1-B_18_5+B_18_9+1/a11*B_2_13-(a31+a41+a51+1)/(a21+a11)*B_2_17+(a31+a41+a51+1)/(a21+a11)*B_6_17+B_10_17-B_14_17+B_18_17,2*a51/a41*B_14_2+2*B_18_2-B_18_6+B_18_10+1/a11*B_2_14-(a31+a41+a51+1)/(a21+a11)*B_2_18+(a31+a41+a51+1)/(a21+a11)*B_6_18+B_10_18-B_14_18+B_18_18,2*a51/a41*B_14_3+2*B_18_3-B_18_7+B_18_11+1/a11*B_2_15-(a31+a41+a51+1)/(a21+a11)*B_2_19+(a31+a41+a51+1)/(a21+a11)*B_6_19+B_10_19-B_14_19+B_18_19,2*a51/a41*B_14_4+2*B_18_4-B_18_8+B_18_12+1/a11*B_2_16-(a31+a41+a51+1)/(a21+a11)*B_2_20+(a31+a41+a51+1)/(a21+a11)*B_6_20+B_10_20-B_14_20+B_18_20],[2*a51/a41*B_15_1+2*B_19_1-B_19_5+B_19_9+1/a11*B_3_13-(a31+a41+a51+1)/(a21+a11)*B_3_17+(a31+a41+a51+1)/(a21+a11)*B_7_17+B_11_17-B_15_17+B_19_17,2*a51/a41*B_15_2+2*B_19_2-B_19_6+B_19_10+1/a11*B_3_14-(a31+a41+a51+1)/(a21+a11)*B_3_18+(a31+a41+a51+1)/(a21+a11)*B_7_18+B_11_18-B_15_18+B_19_18,2*a51/a41*B_15_3+2*B_19_3-B_19_7+B_19_11+1/a11*B_3_15-(a31+a41+a51+1)/(a21+a11)*B_3_19+(a31+a41+a51+1)/(a21+a11)*B_7_19+B_11_19-B_15_19+B_19_19,2*a51/a41*B_15_4+2*B_19_4-B_19_8+B_19_12+1/a11*B_3_16-(a31+a41+a51+1)/(a21+a11)*B_3_20+(a31+a41+a51+1)/(a21+a11)*B_7_20+B_11_20-B_15_20+B_19_20],[2*a51/a41*B_16_1+2*B_20_1-B_20_5+B_20_9+1/a11*B_4_13-(a31+a41+a51+1)/(a21+a11)*B_4_17+(a31+a41+a51+1)/(a21+a11)*B_8_17+B_12_17-B_16_17+B_20_17,2*a51/a41*B_16_2+2*B_20_2-B_20_6+B_20_10+1/a11*B_4_14-(a31+a41+a51+1)/(a21+a11)*B_4_18+(a31+a41+a51+1)/(a21+a11)*B_8_18+B_12_18-B_16_18+B_20_18,2*a51/a41*B_16_3+2*B_20_3-B_20_7+B_20_11+1/a11*B_4_15-(a31+a41+a51+1)/(a21+a11)*B_4_19+(a31+a41+a51+1)/(a21+a11)*B_8_19+B_12_19-B_16_19+B_20_19,2*a51/a41*B_16_4+2*B_20_4-B_20_8+B_20_12+1/a11*B_4_16-(a31+a41+a51+1)/(a21+a11)*B_4_20+(a31+a41+a51+1)/(a21+a11)*B_8_20+B_12_20-B_16_20+B_20_20]]),Matrix(4, 2, [[C_17_2,C_17_1+C_17_3],[C_18_2,C_18_1+C_18_3],[C_19_2,C_19_1+C_19_3],[C_20_2,C_20_1+C_20_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_1+A_1_5,A_1_2+A_1_6,A_1_3+A_1_7,A_1_4+A_1_8]]),Matrix(4, 4, [[B_9_1+(a51+a11+a31)/a41*B_13_1+(a51+a11)/a51*B_17_1+B_1_5-a11/a51*B_17_5,B_9_2+(a51+a11+a31)/a41*B_13_2+(a51+a11)/a51*B_17_2+B_1_6-a11/a51*B_17_6,B_9_3+(a51+a11+a31)/a41*B_13_3+(a51+a11)/a51*B_17_3+B_1_7-a11/a51*B_17_7,B_9_4+(a51+a11+a31)/a41*B_13_4+(a51+a11)/a51*B_17_4+B_1_8-a11/a51*B_17_8],[B_10_1+(a51+a11+a31)/a41*B_14_1+(a51+a11)/a51*B_18_1+B_2_5-a11/a51*B_18_5,B_10_2+(a51+a11+a31)/a41*B_14_2+(a51+a11)/a51*B_18_2+B_2_6-a11/a51*B_18_6,B_10_3+(a51+a11+a31)/a41*B_14_3+(a51+a11)/a51*B_18_3+B_2_7-a11/a51*B_18_7,B_10_4+(a51+a11+a31)/a41*B_14_4+(a51+a11)/a51*B_18_4+B_2_8-a11/a51*B_18_8],[B_11_1+(a51+a11+a31)/a41*B_15_1+(a51+a11)/a51*B_19_1+B_3_5-a11/a51*B_19_5,B_11_2+(a51+a11+a31)/a41*B_15_2+(a51+a11)/a51*B_19_2+B_3_6-a11/a51*B_19_6,B_11_3+(a51+a11+a31)/a41*B_15_3+(a51+a11)/a51*B_19_3+B_3_7-a11/a51*B_19_7,B_11_4+(a51+a11+a31)/a41*B_15_4+(a51+a11)/a51*B_19_4+B_3_8-a11/a51*B_19_8],[B_12_1+(a51+a11+a31)/a41*B_16_1+(a51+a11)/a51*B_20_1+B_4_5-a11/a51*B_20_5,B_12_2+(a51+a11+a31)/a41*B_16_2+(a51+a11)/a51*B_20_2+B_4_6-a11/a51*B_20_6,B_12_3+(a51+a11+a31)/a41*B_16_3+(a51+a11)/a51*B_20_3+B_4_7-a11/a51*B_20_7,B_12_4+(a51+a11+a31)/a41*B_16_4+(a51+a11)/a51*B_20_4+B_4_8-a11/a51*B_20_8]]),Matrix(4, 1, [[C_1_1+C_5_1],[C_2_1+C_6_1],[C_3_1+C_7_1],[C_4_1+C_8_1]])))+Trace(Mul(Matrix(1, 4, [[A_1_1-A_3_1,A_1_2-A_3_2,A_1_3-A_3_3,A_1_4-A_3_4]]),Matrix(4, 4, [[B_1_1-a11/a51*B_17_1-B_1_5+a11/a51*B_17_5-B_1_21-a11/(a21+a31)*B_5_21+a11/(a21+a31)*B_9_21,B_1_2-a11/a51*B_17_2-B_1_6+a11/a51*B_17_6-B_1_22-a11/(a21+a31)*B_5_22+a11/(a21+a31)*B_9_22,B_1_3-a11/a51*B_17_3-B_1_7+a11/a51*B_17_7-B_1_23-a11/(a21+a31)*B_5_23+a11/(a21+a31)*B_9_23,B_1_4-a11/a51*B_17_4-B_1_8+a11/a51*B_17_8-B_1_24-a11/(a21+a31)*B_5_24+a11/(a21+a31)*B_9_24],[B_2_1-a11/a51*B_18_1-B_2_5+a11/a51*B_18_5-B_2_21-a11/(a21+a31)*B_6_21+a11/(a21+a31)*B_10_21,B_2_2-a11/a51*B_18_2-B_2_6+a11/a51*B_18_6-B_2_22-a11/(a21+a31)*B_6_22+a11/(a21+a31)*B_10_22,B_2_3-a11/a51*B_18_3-B_2_7+a11/a51*B_18_7-B_2_23-a11/(a21+a31)*B_6_23+a11/(a21+a31)*B_10_23,B_2_4-a11/a51*B_18_4-B_2_8+a11/a51*B_18_8-B_2_24-a11/(a21+a31)*B_6_24+a11/(a21+a31)*B_10_24],[B_3_1-a11/a51*B_19_1-B_3_5+a11/a51*B_19_5-B_3_21-a11/(a21+a31)*B_7_21+a11/(a21+a31)*B_11_21,B_3_2-a11/a51*B_19_2-B_3_6+a11/a51*B_19_6-B_3_22-a11/(a21+a31)*B_7_22+a11/(a21+a31)*B_11_22,B_3_3-a11/a51*B_19_3-B_3_7+a11/a51*B_19_7-B_3_23-a11/(a21+a31)*B_7_23+a11/(a21+a31)*B_11_23,B_3_4-a11/a51*B_19_4-B_3_8+a11/a51*B_19_8-B_3_24-a11/(a21+a31)*B_7_24+a11/(a21+a31)*B_11_24],[B_4_1-a11/a51*B_20_1-B_4_5+a11/a51*B_20_5-B_4_21-a11/(a21+a31)*B_8_21+a11/(a21+a31)*B_12_21,B_4_2-a11/a51*B_20_2-B_4_6+a11/a51*B_20_6-B_4_22-a11/(a21+a31)*B_8_22+a11/(a21+a31)*B_12_22,B_4_3-a11/a51*B_20_3-B_4_7+a11/a51*B_20_7-B_4_23-a11/(a21+a31)*B_8_23+a11/(a21+a31)*B_12_23,B_4_4-a11/a51*B_20_4-B_4_8+a11/a51*B_20_8-B_4_24-a11/(a21+a31)*B_8_24+a11/(a21+a31)*B_12_24]]),Matrix(4, 1, [[C_1_1],[C_2_1],[C_3_1],[C_4_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_1,A_2_2,A_2_3,A_2_4],[A_3_1+A_1_5,A_3_2+A_1_6,A_3_3+A_1_7,A_3_4+A_1_8]]),Matrix(4, 4, [[B_5_1-(a21+a11)/a41*B_13_1-a11/a51*B_17_1-B_1_5+a11/a51*B_17_5,B_5_2-(a21+a11)/a41*B_13_2-a11/a51*B_17_2-B_1_6+a11/a51*B_17_6,B_5_3-(a21+a11)/a41*B_13_3-a11/a51*B_17_3-B_1_7+a11/a51*B_17_7,B_5_4-(a21+a11)/a41*B_13_4-a11/a51*B_17_4-B_1_8+a11/a51*B_17_8],[B_6_1-(a21+a11)/a41*B_14_1-a11/a51*B_18_1-B_2_5+a11/a51*B_18_5,B_6_2-(a21+a11)/a41*B_14_2-a11/a51*B_18_2-B_2_6+a11/a51*B_18_6,B_6_3-(a21+a11)/a41*B_14_3-a11/a51*B_18_3-B_2_7+a11/a51*B_18_7,B_6_4-(a21+a11)/a41*B_14_4-a11/a51*B_18_4-B_2_8+a11/a51*B_18_8],[B_7_1-(a21+a11)/a41*B_15_1-a11/a51*B_19_1-B_3_5+a11/a51*B_19_5,B_7_2-(a21+a11)/a41*B_15_2-a11/a51*B_19_2-B_3_6+a11/a51*B_19_6,B_7_3-(a21+a11)/a41*B_15_3-a11/a51*B_19_3-B_3_7+a11/a51*B_19_7,B_7_4-(a21+a11)/a41*B_15_4-a11/a51*B_19_4-B_3_8+a11/a51*B_19_8],[B_8_1-(a21+a11)/a41*B_16_1-a11/a51*B_20_1-B_4_5+a11/a51*B_20_5,B_8_2-(a21+a11)/a41*B_16_2-a11/a51*B_20_2-B_4_6+a11/a51*B_20_6,B_8_3-(a21+a11)/a41*B_16_3-a11/a51*B_20_3-B_4_7+a11/a51*B_20_7,B_8_4-(a21+a11)/a41*B_16_4-a11/a51*B_20_4-B_4_8+a11/a51*B_20_8]]),Matrix(4, 2, [[-C_5_2,C_1_1-C_5_3],[-C_6_2,C_2_1-C_6_3],[-C_7_2,C_3_1-C_7_3],[-C_8_2,C_4_1-C_8_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_1+A_2_5,A_2_2+A_2_6,A_2_3+A_2_7,A_2_4+A_2_8],[A_3_1+A_3_5,A_3_2+A_3_6,A_3_3+A_3_7,A_3_4+A_3_8]]),Matrix(4, 4, [[B_5_1+(-a21+a11)/a41*B_13_1+a11/a51*B_17_1-a11/a51*B_17_5+B_1_9+a21/(a21+a11)*B_1_17+a11/(a21+a11)*B_5_17,B_5_2+(-a21+a11)/a41*B_13_2+a11/a51*B_17_2-a11/a51*B_17_6+B_1_10+a21/(a21+a11)*B_1_18+a11/(a21+a11)*B_5_18,B_5_3+(-a21+a11)/a41*B_13_3+a11/a51*B_17_3-a11/a51*B_17_7+B_1_11+a21/(a21+a11)*B_1_19+a11/(a21+a11)*B_5_19,B_5_4+(-a21+a11)/a41*B_13_4+a11/a51*B_17_4-a11/a51*B_17_8+B_1_12+a21/(a21+a11)*B_1_20+a11/(a21+a11)*B_5_20],[B_6_1+(-a21+a11)/a41*B_14_1+a11/a51*B_18_1-a11/a51*B_18_5+B_2_9+a21/(a21+a11)*B_2_17+a11/(a21+a11)*B_6_17,B_6_2+(-a21+a11)/a41*B_14_2+a11/a51*B_18_2-a11/a51*B_18_6+B_2_10+a21/(a21+a11)*B_2_18+a11/(a21+a11)*B_6_18,B_6_3+(-a21+a11)/a41*B_14_3+a11/a51*B_18_3-a11/a51*B_18_7+B_2_11+a21/(a21+a11)*B_2_19+a11/(a21+a11)*B_6_19,B_6_4+(-a21+a11)/a41*B_14_4+a11/a51*B_18_4-a11/a51*B_18_8+B_2_12+a21/(a21+a11)*B_2_20+a11/(a21+a11)*B_6_20],[B_7_1+(-a21+a11)/a41*B_15_1+a11/a51*B_19_1-a11/a51*B_19_5+B_3_9+a21/(a21+a11)*B_3_17+a11/(a21+a11)*B_7_17,B_7_2+(-a21+a11)/a41*B_15_2+a11/a51*B_19_2-a11/a51*B_19_6+B_3_10+a21/(a21+a11)*B_3_18+a11/(a21+a11)*B_7_18,B_7_3+(-a21+a11)/a41*B_15_3+a11/a51*B_19_3-a11/a51*B_19_7+B_3_11+a21/(a21+a11)*B_3_19+a11/(a21+a11)*B_7_19,B_7_4+(-a21+a11)/a41*B_15_4+a11/a51*B_19_4-a11/a51*B_19_8+B_3_12+a21/(a21+a11)*B_3_20+a11/(a21+a11)*B_7_20],[B_8_1+(-a21+a11)/a41*B_16_1+a11/a51*B_20_1-a11/a51*B_20_5+B_4_9+a21/(a21+a11)*B_4_17+a11/(a21+a11)*B_8_17,B_8_2+(-a21+a11)/a41*B_16_2+a11/a51*B_20_2-a11/a51*B_20_6+B_4_10+a21/(a21+a11)*B_4_18+a11/(a21+a11)*B_8_18,B_8_3+(-a21+a11)/a41*B_16_3+a11/a51*B_20_3-a11/a51*B_20_7+B_4_11+a21/(a21+a11)*B_4_19+a11/(a21+a11)*B_8_19,B_8_4+(-a21+a11)/a41*B_16_4+a11/a51*B_20_4-a11/a51*B_20_8+B_4_12+a21/(a21+a11)*B_4_20+a11/(a21+a11)*B_8_20]]),Matrix(4, 2, [[C_1_2+C_5_2,C_1_3+C_5_3],[C_2_2+C_6_2,C_2_3+C_6_3],[C_3_2+C_7_2,C_3_3+C_7_3],[C_4_2+C_8_2,C_4_3+C_8_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_5,-A_2_6,-A_2_7,-A_2_8],[A_1_5-A_3_5,A_1_6-A_3_6,A_1_7-A_3_7,A_1_8-A_3_8]]),Matrix(4, 4, [[B_5_1-(a21+a11)/a41*B_13_1-a11/a51*B_17_1-B_5_5+a11/a51*B_17_5-B_1_9+B_5_9,B_5_2-(a21+a11)/a41*B_13_2-a11/a51*B_17_2-B_5_6+a11/a51*B_17_6-B_1_10+B_5_10,B_5_3-(a21+a11)/a41*B_13_3-a11/a51*B_17_3-B_5_7+a11/a51*B_17_7-B_1_11+B_5_11,B_5_4-(a21+a11)/a41*B_13_4-a11/a51*B_17_4-B_5_8+a11/a51*B_17_8-B_1_12+B_5_12],[B_6_1-(a21+a11)/a41*B_14_1-a11/a51*B_18_1-B_6_5+a11/a51*B_18_5-B_2_9+B_6_9,B_6_2-(a21+a11)/a41*B_14_2-a11/a51*B_18_2-B_6_6+a11/a51*B_18_6-B_2_10+B_6_10,B_6_3-(a21+a11)/a41*B_14_3-a11/a51*B_18_3-B_6_7+a11/a51*B_18_7-B_2_11+B_6_11,B_6_4-(a21+a11)/a41*B_14_4-a11/a51*B_18_4-B_6_8+a11/a51*B_18_8-B_2_12+B_6_12],[B_7_1-(a21+a11)/a41*B_15_1-a11/a51*B_19_1-B_7_5+a11/a51*B_19_5-B_3_9+B_7_9,B_7_2-(a21+a11)/a41*B_15_2-a11/a51*B_19_2-B_7_6+a11/a51*B_19_6-B_3_10+B_7_10,B_7_3-(a21+a11)/a41*B_15_3-a11/a51*B_19_3-B_7_7+a11/a51*B_19_7-B_3_11+B_7_11,B_7_4-(a21+a11)/a41*B_15_4-a11/a51*B_19_4-B_7_8+a11/a51*B_19_8-B_3_12+B_7_12],[B_8_1-(a21+a11)/a41*B_16_1-a11/a51*B_20_1-B_8_5+a11/a51*B_20_5-B_4_9+B_8_9,B_8_2-(a21+a11)/a41*B_16_2-a11/a51*B_20_2-B_8_6+a11/a51*B_20_6-B_4_10+B_8_10,B_8_3-(a21+a11)/a41*B_16_3-a11/a51*B_20_3-B_8_7+a11/a51*B_20_7-B_4_11+B_8_11,B_8_4-(a21+a11)/a41*B_16_4-a11/a51*B_20_4-B_8_8+a11/a51*B_20_8-B_4_12+B_8_12]]),Matrix(4, 2, [[C_5_2,C_5_3],[C_6_2,C_6_3],[C_7_2,C_7_3],[C_8_2,C_8_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_5+A_2_9,A_2_6+A_2_10,A_2_7+A_2_11,A_2_8+A_2_12],[A_3_5+A_3_9,A_3_6+A_3_10,A_3_7+A_3_11,A_3_8+A_3_12]]),Matrix(4, 4, [[-(a21+a11+a41+1)/a41*B_13_1-(a21+a11+a41+1)/a51*B_17_1+B_13_5+(a21+a11+a41+1)/a51*B_17_5-B_1_9+B_5_9,-(a21+a11+a41+1)/a41*B_13_2-(a21+a11+a41+1)/a51*B_17_2+B_13_6+(a21+a11+a41+1)/a51*B_17_6-B_1_10+B_5_10,-(a21+a11+a41+1)/a41*B_13_3-(a21+a11+a41+1)/a51*B_17_3+B_13_7+(a21+a11+a41+1)/a51*B_17_7-B_1_11+B_5_11,-(a21+a11+a41+1)/a41*B_13_4-(a21+a11+a41+1)/a51*B_17_4+B_13_8+(a21+a11+a41+1)/a51*B_17_8-B_1_12+B_5_12],[-(a21+a11+a41+1)/a41*B_14_1-(a21+a11+a41+1)/a51*B_18_1+B_14_5+(a21+a11+a41+1)/a51*B_18_5-B_2_9+B_6_9,-(a21+a11+a41+1)/a41*B_14_2-(a21+a11+a41+1)/a51*B_18_2+B_14_6+(a21+a11+a41+1)/a51*B_18_6-B_2_10+B_6_10,-(a21+a11+a41+1)/a41*B_14_3-(a21+a11+a41+1)/a51*B_18_3+B_14_7+(a21+a11+a41+1)/a51*B_18_7-B_2_11+B_6_11,-(a21+a11+a41+1)/a41*B_14_4-(a21+a11+a41+1)/a51*B_18_4+B_14_8+(a21+a11+a41+1)/a51*B_18_8-B_2_12+B_6_12],[-(a21+a11+a41+1)/a41*B_15_1-(a21+a11+a41+1)/a51*B_19_1+B_15_5+(a21+a11+a41+1)/a51*B_19_5-B_3_9+B_7_9,-(a21+a11+a41+1)/a41*B_15_2-(a21+a11+a41+1)/a51*B_19_2+B_15_6+(a21+a11+a41+1)/a51*B_19_6-B_3_10+B_7_10,-(a21+a11+a41+1)/a41*B_15_3-(a21+a11+a41+1)/a51*B_19_3+B_15_7+(a21+a11+a41+1)/a51*B_19_7-B_3_11+B_7_11,-(a21+a11+a41+1)/a41*B_15_4-(a21+a11+a41+1)/a51*B_19_4+B_15_8+(a21+a11+a41+1)/a51*B_19_8-B_3_12+B_7_12],[-(a21+a11+a41+1)/a41*B_16_1-(a21+a11+a41+1)/a51*B_20_1+B_16_5+(a21+a11+a41+1)/a51*B_20_5-B_4_9+B_8_9,-(a21+a11+a41+1)/a41*B_16_2-(a21+a11+a41+1)/a51*B_20_2+B_16_6+(a21+a11+a41+1)/a51*B_20_6-B_4_10+B_8_10,-(a21+a11+a41+1)/a41*B_16_3-(a21+a11+a41+1)/a51*B_20_3+B_16_7+(a21+a11+a41+1)/a51*B_20_7-B_4_11+B_8_11,-(a21+a11+a41+1)/a41*B_16_4-(a21+a11+a41+1)/a51*B_20_4+B_16_8+(a21+a11+a41+1)/a51*B_20_8-B_4_12+B_8_12]]),Matrix(4, 2, [[C_5_2+C_9_2,C_5_3+C_9_3],[C_6_2+C_10_2,C_6_3+C_10_3],[C_7_2+C_11_2,C_7_3+C_11_3],[C_8_2+C_12_2,C_8_3+C_12_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_5+A_1_9,A_1_6+A_1_10,A_1_7+A_1_11,A_1_8+A_1_12]]),Matrix(4, 4, [[-B_9_1+a31/a51*B_17_1+B_9_5-a31/a51*B_17_5+a21/a11*B_1_13+B_5_13+a31/(a21+a31)*B_5_21+1/(a21+a31)*a21*B_9_21,-B_9_2+a31/a51*B_17_2+B_9_6-a31/a51*B_17_6+a21/a11*B_1_14+B_5_14+a31/(a21+a31)*B_5_22+1/(a21+a31)*a21*B_9_22,-B_9_3+a31/a51*B_17_3+B_9_7-a31/a51*B_17_7+a21/a11*B_1_15+B_5_15+a31/(a21+a31)*B_5_23+1/(a21+a31)*a21*B_9_23,-B_9_4+a31/a51*B_17_4+B_9_8-a31/a51*B_17_8+a21/a11*B_1_16+B_5_16+a31/(a21+a31)*B_5_24+1/(a21+a31)*a21*B_9_24],[-B_10_1+a31/a51*B_18_1+B_10_5-a31/a51*B_18_5+a21/a11*B_2_13+B_6_13+a31/(a21+a31)*B_6_21+1/(a21+a31)*a21*B_10_21,-B_10_2+a31/a51*B_18_2+B_10_6-a31/a51*B_18_6+a21/a11*B_2_14+B_6_14+a31/(a21+a31)*B_6_22+1/(a21+a31)*a21*B_10_22,-B_10_3+a31/a51*B_18_3+B_10_7-a31/a51*B_18_7+a21/a11*B_2_15+B_6_15+a31/(a21+a31)*B_6_23+1/(a21+a31)*a21*B_10_23,-B_10_4+a31/a51*B_18_4+B_10_8-a31/a51*B_18_8+a21/a11*B_2_16+B_6_16+a31/(a21+a31)*B_6_24+1/(a21+a31)*a21*B_10_24],[-B_11_1+a31/a51*B_19_1+B_11_5-a31/a51*B_19_5+a21/a11*B_3_13+B_7_13+a31/(a21+a31)*B_7_21+1/(a21+a31)*a21*B_11_21,-B_11_2+a31/a51*B_19_2+B_11_6-a31/a51*B_19_6+a21/a11*B_3_14+B_7_14+a31/(a21+a31)*B_7_22+1/(a21+a31)*a21*B_11_22,-B_11_3+a31/a51*B_19_3+B_11_7-a31/a51*B_19_7+a21/a11*B_3_15+B_7_15+a31/(a21+a31)*B_7_23+1/(a21+a31)*a21*B_11_23,-B_11_4+a31/a51*B_19_4+B_11_8-a31/a51*B_19_8+a21/a11*B_3_16+B_7_16+a31/(a21+a31)*B_7_24+1/(a21+a31)*a21*B_11_24],[-B_12_1+a31/a51*B_20_1+B_12_5-a31/a51*B_20_5+a21/a11*B_4_13+B_8_13+a31/(a21+a31)*B_8_21+1/(a21+a31)*a21*B_12_21,-B_12_2+a31/a51*B_20_2+B_12_6-a31/a51*B_20_6+a21/a11*B_4_14+B_8_14+a31/(a21+a31)*B_8_22+1/(a21+a31)*a21*B_12_22,-B_12_3+a31/a51*B_20_3+B_12_7-a31/a51*B_20_7+a21/a11*B_4_15+B_8_15+a31/(a21+a31)*B_8_23+1/(a21+a31)*a21*B_12_23,-B_12_4+a31/a51*B_20_4+B_12_8-a31/a51*B_20_8+a21/a11*B_4_16+B_8_16+a31/(a21+a31)*B_8_24+1/(a21+a31)*a21*B_12_24]]),Matrix(4, 1, [[C_5_1+C_9_1],[C_6_1+C_10_1],[C_11_1+C_7_1],[C_8_1+C_12_1]])))+Trace(Mul(Matrix(1, 4, [[A_1_9-A_3_9,A_1_10-A_3_10,A_1_11-A_3_11,A_1_12-A_3_12]]),Matrix(4, 4, [[B_9_1+(a31+a11)/a41*B_13_1+a11/a51*B_17_1-B_9_5-a11/a51*B_17_5+B_1_9+B_9_9+(a21+a31)/a11*B_1_13+B_5_13-B_9_13,B_9_2+(a31+a11)/a41*B_13_2+a11/a51*B_17_2-B_9_6-a11/a51*B_17_6+B_1_10+B_9_10+(a21+a31)/a11*B_1_14+B_5_14-B_9_14,B_9_3+(a31+a11)/a41*B_13_3+a11/a51*B_17_3-B_9_7-a11/a51*B_17_7+B_1_11+B_9_11+(a21+a31)/a11*B_1_15+B_5_15-B_9_15,B_9_4+(a31+a11)/a41*B_13_4+a11/a51*B_17_4-B_9_8-a11/a51*B_17_8+B_1_12+B_9_12+(a21+a31)/a11*B_1_16+B_5_16-B_9_16],[B_10_1+(a31+a11)/a41*B_14_1+a11/a51*B_18_1-B_10_5-a11/a51*B_18_5+B_2_9+B_10_9+(a21+a31)/a11*B_2_13+B_6_13-B_10_13,B_10_2+(a31+a11)/a41*B_14_2+a11/a51*B_18_2-B_10_6-a11/a51*B_18_6+B_2_10+B_10_10+(a21+a31)/a11*B_2_14+B_6_14-B_10_14,B_10_3+(a31+a11)/a41*B_14_3+a11/a51*B_18_3-B_10_7-a11/a51*B_18_7+B_2_11+B_10_11+(a21+a31)/a11*B_2_15+B_6_15-B_10_15,B_10_4+(a31+a11)/a41*B_14_4+a11/a51*B_18_4-B_10_8-a11/a51*B_18_8+B_2_12+B_10_12+(a21+a31)/a11*B_2_16+B_6_16-B_10_16],[B_11_1+(a31+a11)/a41*B_15_1+a11/a51*B_19_1-B_11_5-a11/a51*B_19_5+B_3_9+B_11_9+(a21+a31)/a11*B_3_13+B_7_13-B_11_13,B_11_2+(a31+a11)/a41*B_15_2+a11/a51*B_19_2-B_11_6-a11/a51*B_19_6+B_3_10+B_11_10+(a21+a31)/a11*B_3_14+B_7_14-B_11_14,B_11_3+(a31+a11)/a41*B_15_3+a11/a51*B_19_3-B_11_7-a11/a51*B_19_7+B_3_11+B_11_11+(a21+a31)/a11*B_3_15+B_7_15-B_11_15,B_11_4+(a31+a11)/a41*B_15_4+a11/a51*B_19_4-B_11_8-a11/a51*B_19_8+B_3_12+B_11_12+(a21+a31)/a11*B_3_16+B_7_16-B_11_16],[B_12_1+(a31+a11)/a41*B_16_1+a11/a51*B_20_1-B_12_5-a11/a51*B_20_5+B_4_9+B_12_9+(a21+a31)/a11*B_4_13+B_8_13-B_12_13,B_12_2+(a31+a11)/a41*B_16_2+a11/a51*B_20_2-B_12_6-a11/a51*B_20_6+B_4_10+B_12_10+(a21+a31)/a11*B_4_14+B_8_14-B_12_14,B_12_3+(a31+a11)/a41*B_16_3+a11/a51*B_20_3-B_12_7-a11/a51*B_20_7+B_4_11+B_12_11+(a21+a31)/a11*B_4_15+B_8_15-B_12_15,B_12_4+(a31+a11)/a41*B_16_4+a11/a51*B_20_4-B_12_8-a11/a51*B_20_8+B_4_12+B_12_12+(a21+a31)/a11*B_4_16+B_8_16-B_12_16]]),Matrix(4, 1, [[C_9_1],[C_10_1],[C_11_1],[C_12_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_9,A_2_10,A_2_11,A_2_12],[A_1_5+A_3_9,A_1_6+A_3_10,A_1_7+A_3_11,A_1_8+A_3_12]]),Matrix(4, 4, [[B_9_1-(a21+a11)/a41*B_13_1-(a21+a11+a31)/a51*B_17_1-B_9_5+(a21+a11+a31)/a51*B_17_5-B_1_9+B_5_9,B_9_2-(a21+a11)/a41*B_13_2-(a21+a11+a31)/a51*B_17_2-B_9_6+(a21+a11+a31)/a51*B_17_6-B_1_10+B_5_10,B_9_3-(a21+a11)/a41*B_13_3-(a21+a11+a31)/a51*B_17_3-B_9_7+(a21+a11+a31)/a51*B_17_7-B_1_11+B_5_11,B_9_4-(a21+a11)/a41*B_13_4-(a21+a11+a31)/a51*B_17_4-B_9_8+(a21+a11+a31)/a51*B_17_8-B_1_12+B_5_12],[B_10_1-(a21+a11)/a41*B_14_1-(a21+a11+a31)/a51*B_18_1-B_10_5+(a21+a11+a31)/a51*B_18_5-B_2_9+B_6_9,B_10_2-(a21+a11)/a41*B_14_2-(a21+a11+a31)/a51*B_18_2-B_10_6+(a21+a11+a31)/a51*B_18_6-B_2_10+B_6_10,B_10_3-(a21+a11)/a41*B_14_3-(a21+a11+a31)/a51*B_18_3-B_10_7+(a21+a11+a31)/a51*B_18_7-B_2_11+B_6_11,B_10_4-(a21+a11)/a41*B_14_4-(a21+a11+a31)/a51*B_18_4-B_10_8+(a21+a11+a31)/a51*B_18_8-B_2_12+B_6_12],[B_11_1-(a21+a11)/a41*B_15_1-(a21+a11+a31)/a51*B_19_1-B_11_5+(a21+a11+a31)/a51*B_19_5-B_3_9+B_7_9,B_11_2-(a21+a11)/a41*B_15_2-(a21+a11+a31)/a51*B_19_2-B_11_6+(a21+a11+a31)/a51*B_19_6-B_3_10+B_7_10,B_11_3-(a21+a11)/a41*B_15_3-(a21+a11+a31)/a51*B_19_3-B_11_7+(a21+a11+a31)/a51*B_19_7-B_3_11+B_7_11,B_11_4-(a21+a11)/a41*B_15_4-(a21+a11+a31)/a51*B_19_4-B_11_8+(a21+a11+a31)/a51*B_19_8-B_3_12+B_7_12],[B_12_1-(a21+a11)/a41*B_16_1-(a21+a11+a31)/a51*B_20_1-B_12_5+(a21+a11+a31)/a51*B_20_5-B_4_9+B_8_9,B_12_2-(a21+a11)/a41*B_16_2-(a21+a11+a31)/a51*B_20_2-B_12_6+(a21+a11+a31)/a51*B_20_6-B_4_10+B_8_10,B_12_3-(a21+a11)/a41*B_16_3-(a21+a11+a31)/a51*B_20_3-B_12_7+(a21+a11+a31)/a51*B_20_7-B_4_11+B_8_11,B_12_4-(a21+a11)/a41*B_16_4-(a21+a11+a31)/a51*B_20_4-B_12_8+(a21+a11+a31)/a51*B_20_8-B_4_12+B_8_12]]),Matrix(4, 2, [[-C_5_2,C_9_1-C_5_3],[-C_6_2,C_10_1-C_6_3],[-C_7_2,C_11_1-C_7_3],[-C_8_2,C_12_1-C_8_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_9,A_2_10,A_2_11,A_2_12],[A_3_9+A_1_13,A_3_10+A_1_14,A_3_11+A_1_15,A_3_12+A_1_16]]),Matrix(4, 4, [[-B_13_5+B_13_9+(a21+a31)/a11*B_1_13+B_5_13-B_9_13,-B_13_6+B_13_10+(a21+a31)/a11*B_1_14+B_5_14-B_9_14,-B_13_7+B_13_11+(a21+a31)/a11*B_1_15+B_5_15-B_9_15,-B_13_8+B_13_12+(a21+a31)/a11*B_1_16+B_5_16-B_9_16],[-B_14_5+B_14_9+(a21+a31)/a11*B_2_13+B_6_13-B_10_13,-B_14_6+B_14_10+(a21+a31)/a11*B_2_14+B_6_14-B_10_14,-B_14_7+B_14_11+(a21+a31)/a11*B_2_15+B_6_15-B_10_15,-B_14_8+B_14_12+(a21+a31)/a11*B_2_16+B_6_16-B_10_16],[-B_15_5+B_15_9+(a21+a31)/a11*B_3_13+B_7_13-B_11_13,-B_15_6+B_15_10+(a21+a31)/a11*B_3_14+B_7_14-B_11_14,-B_15_7+B_15_11+(a21+a31)/a11*B_3_15+B_7_15-B_11_15,-B_15_8+B_15_12+(a21+a31)/a11*B_3_16+B_7_16-B_11_16],[-B_16_5+B_16_9+(a21+a31)/a11*B_4_13+B_8_13-B_12_13,-B_16_6+B_16_10+(a21+a31)/a11*B_4_14+B_8_14-B_12_14,-B_16_7+B_16_11+(a21+a31)/a11*B_4_15+B_8_15-B_12_15,-B_16_8+B_16_12+(a21+a31)/a11*B_4_16+B_8_16-B_12_16]]),Matrix(4, 2, [[-C_13_2,C_9_1-C_13_3],[-C_14_2,C_10_1-C_14_3],[-C_15_2,C_11_1-C_15_3],[-C_16_2,C_12_1-C_16_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_9+A_1_13,A_1_10+A_1_14,A_1_11+A_1_15,A_1_12+A_1_16]]),Matrix(4, 4, [[a51/a41*B_13_1+B_17_1-B_17_5+B_17_9-(a21+a31)/a11*B_1_13-B_5_13+B_9_13,a51/a41*B_13_2+B_17_2-B_17_6+B_17_10-(a21+a31)/a11*B_1_14-B_5_14+B_9_14,a51/a41*B_13_3+B_17_3-B_17_7+B_17_11-(a21+a31)/a11*B_1_15-B_5_15+B_9_15,a51/a41*B_13_4+B_17_4-B_17_8+B_17_12-(a21+a31)/a11*B_1_16-B_5_16+B_9_16],[a51/a41*B_14_1+B_18_1-B_18_5+B_18_9-(a21+a31)/a11*B_2_13-B_6_13+B_10_13,a51/a41*B_14_2+B_18_2-B_18_6+B_18_10-(a21+a31)/a11*B_2_14-B_6_14+B_10_14,a51/a41*B_14_3+B_18_3-B_18_7+B_18_11-(a21+a31)/a11*B_2_15-B_6_15+B_10_15,a51/a41*B_14_4+B_18_4-B_18_8+B_18_12-(a21+a31)/a11*B_2_16-B_6_16+B_10_16],[a51/a41*B_15_1+B_19_1-B_19_5+B_19_9-(a21+a31)/a11*B_3_13-B_7_13+B_11_13,a51/a41*B_15_2+B_19_2-B_19_6+B_19_10-(a21+a31)/a11*B_3_14-B_7_14+B_11_14,a51/a41*B_15_3+B_19_3-B_19_7+B_19_11-(a21+a31)/a11*B_3_15-B_7_15+B_11_15,a51/a41*B_15_4+B_19_4-B_19_8+B_19_12-(a21+a31)/a11*B_3_16-B_7_16+B_11_16],[a51/a41*B_16_1+B_20_1-B_20_5+B_20_9-(a21+a31)/a11*B_4_13-B_8_13+B_12_13,a51/a41*B_16_2+B_20_2-B_20_6+B_20_10-(a21+a31)/a11*B_4_14-B_8_14+B_12_14,a51/a41*B_16_3+B_20_3-B_20_7+B_20_11-(a21+a31)/a11*B_4_15-B_8_15+B_12_15,a51/a41*B_16_4+B_20_4-B_20_8+B_20_12-(a21+a31)/a11*B_4_16-B_8_16+B_12_16]]),Matrix(4, 1, [[C_9_1+C_13_1],[C_10_1+C_14_1],[C_11_1+C_15_1],[C_12_1+C_16_1]])))+Trace(Mul(Matrix(2, 4, [[-A_2_13,-A_2_14,-A_2_15,-A_2_16],[A_1_13-A_3_13,A_1_14-A_3_14,A_1_15-A_3_15,A_1_16-A_3_16]]),Matrix(4, 4, [[-B_13_5+B_13_9-(a41+a21)/a11*B_1_13-B_5_13-B_13_13+(a31+a41)/(a21+a11)*B_1_17-(a31+a41)/(a21+a11)*B_5_17-B_9_17+B_13_17,-B_13_6+B_13_10-(a41+a21)/a11*B_1_14-B_5_14-B_13_14+(a31+a41)/(a21+a11)*B_1_18-(a31+a41)/(a21+a11)*B_5_18-B_9_18+B_13_18,-B_13_7+B_13_11-(a41+a21)/a11*B_1_15-B_5_15-B_13_15+(a31+a41)/(a21+a11)*B_1_19-(a31+a41)/(a21+a11)*B_5_19-B_9_19+B_13_19,-B_13_8+B_13_12-(a41+a21)/a11*B_1_16-B_5_16-B_13_16+(a31+a41)/(a21+a11)*B_1_20-(a31+a41)/(a21+a11)*B_5_20-B_9_20+B_13_20],[-B_14_5+B_14_9-(a41+a21)/a11*B_2_13-B_6_13-B_14_13+(a31+a41)/(a21+a11)*B_2_17-(a31+a41)/(a21+a11)*B_6_17-B_10_17+B_14_17,-B_14_6+B_14_10-(a41+a21)/a11*B_2_14-B_6_14-B_14_14+(a31+a41)/(a21+a11)*B_2_18-(a31+a41)/(a21+a11)*B_6_18-B_10_18+B_14_18,-B_14_7+B_14_11-(a41+a21)/a11*B_2_15-B_6_15-B_14_15+(a31+a41)/(a21+a11)*B_2_19-(a31+a41)/(a21+a11)*B_6_19-B_10_19+B_14_19,-B_14_8+B_14_12-(a41+a21)/a11*B_2_16-B_6_16-B_14_16+(a31+a41)/(a21+a11)*B_2_20-(a31+a41)/(a21+a11)*B_6_20-B_10_20+B_14_20],[-B_15_5+B_15_9-(a41+a21)/a11*B_3_13-B_7_13-B_15_13+(a31+a41)/(a21+a11)*B_3_17-(a31+a41)/(a21+a11)*B_7_17-B_11_17+B_15_17,-B_15_6+B_15_10-(a41+a21)/a11*B_3_14-B_7_14-B_15_14+(a31+a41)/(a21+a11)*B_3_18-(a31+a41)/(a21+a11)*B_7_18-B_11_18+B_15_18,-B_15_7+B_15_11-(a41+a21)/a11*B_3_15-B_7_15-B_15_15+(a31+a41)/(a21+a11)*B_3_19-(a31+a41)/(a21+a11)*B_7_19-B_11_19+B_15_19,-B_15_8+B_15_12-(a41+a21)/a11*B_3_16-B_7_16-B_15_16+(a31+a41)/(a21+a11)*B_3_20-(a31+a41)/(a21+a11)*B_7_20-B_11_20+B_15_20],[-B_16_5+B_16_9-(a41+a21)/a11*B_4_13-B_8_13-B_16_13+(a31+a41)/(a21+a11)*B_4_17-(a31+a41)/(a21+a11)*B_8_17-B_12_17+B_16_17,-B_16_6+B_16_10-(a41+a21)/a11*B_4_14-B_8_14-B_16_14+(a31+a41)/(a21+a11)*B_4_18-(a31+a41)/(a21+a11)*B_8_18-B_12_18+B_16_18,-B_16_7+B_16_11-(a41+a21)/a11*B_4_15-B_8_15-B_16_15+(a31+a41)/(a21+a11)*B_4_19-(a31+a41)/(a21+a11)*B_8_19-B_12_19+B_16_19,-B_16_8+B_16_12-(a41+a21)/a11*B_4_16-B_8_16-B_16_16+(a31+a41)/(a21+a11)*B_4_20-(a31+a41)/(a21+a11)*B_8_20-B_12_20+B_16_20]]),Matrix(4, 2, [[C_13_2,C_13_3],[C_14_2,C_14_3],[C_15_2,C_15_3],[C_16_2,C_16_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_13+A_1_17,A_1_14+A_1_18,A_1_15+A_1_19,A_1_16+A_1_20]]),Matrix(4, 4, [[-a51/a41*B_13_1-B_17_1+B_17_5-B_17_9-a51/a11*B_1_13+B_17_13-a41/(a21+a31)*B_5_21+a41/(a21+a31)*B_9_21+B_13_21,-a51/a41*B_13_2-B_17_2+B_17_6-B_17_10-a51/a11*B_1_14+B_17_14-a41/(a21+a31)*B_5_22+a41/(a21+a31)*B_9_22+B_13_22,-a51/a41*B_13_3-B_17_3+B_17_7-B_17_11-a51/a11*B_1_15+B_17_15-a41/(a21+a31)*B_5_23+a41/(a21+a31)*B_9_23+B_13_23,-a51/a41*B_13_4-B_17_4+B_17_8-B_17_12-a51/a11*B_1_16+B_17_16-a41/(a21+a31)*B_5_24+a41/(a21+a31)*B_9_24+B_13_24],[-a51/a41*B_14_1-B_18_1+B_18_5-B_18_9-a51/a11*B_2_13+B_18_13-a41/(a21+a31)*B_6_21+a41/(a21+a31)*B_10_21+B_14_21,-a51/a41*B_14_2-B_18_2+B_18_6-B_18_10-a51/a11*B_2_14+B_18_14-a41/(a21+a31)*B_6_22+a41/(a21+a31)*B_10_22+B_14_22,-a51/a41*B_14_3-B_18_3+B_18_7-B_18_11-a51/a11*B_2_15+B_18_15-a41/(a21+a31)*B_6_23+a41/(a21+a31)*B_10_23+B_14_23,-a51/a41*B_14_4-B_18_4+B_18_8-B_18_12-a51/a11*B_2_16+B_18_16-a41/(a21+a31)*B_6_24+a41/(a21+a31)*B_10_24+B_14_24],[-a51/a41*B_15_1-B_19_1+B_19_5-B_19_9-a51/a11*B_3_13+B_19_13-a41/(a21+a31)*B_7_21+a41/(a21+a31)*B_11_21+B_15_21,-a51/a41*B_15_2-B_19_2+B_19_6-B_19_10-a51/a11*B_3_14+B_19_14-a41/(a21+a31)*B_7_22+a41/(a21+a31)*B_11_22+B_15_22,-a51/a41*B_15_3-B_19_3+B_19_7-B_19_11-a51/a11*B_3_15+B_19_15-a41/(a21+a31)*B_7_23+a41/(a21+a31)*B_11_23+B_15_23,-a51/a41*B_15_4-B_19_4+B_19_8-B_19_12-a51/a11*B_3_16+B_19_16-a41/(a21+a31)*B_7_24+a41/(a21+a31)*B_11_24+B_15_24],[-a51/a41*B_16_1-B_20_1+B_20_5-B_20_9-a51/a11*B_4_13+B_20_13-a41/(a21+a31)*B_8_21+a41/(a21+a31)*B_12_21+B_16_21,-a51/a41*B_16_2-B_20_2+B_20_6-B_20_10-a51/a11*B_4_14+B_20_14-a41/(a21+a31)*B_8_22+a41/(a21+a31)*B_12_22+B_16_22,-a51/a41*B_16_3-B_20_3+B_20_7-B_20_11-a51/a11*B_4_15+B_20_15-a41/(a21+a31)*B_8_23+a41/(a21+a31)*B_12_23+B_16_23,-a51/a41*B_16_4-B_20_4+B_20_8-B_20_12-a51/a11*B_4_16+B_20_16-a41/(a21+a31)*B_8_24+a41/(a21+a31)*B_12_24+B_16_24]]),Matrix(4, 1, [[C_13_1+C_17_1],[C_14_1+C_18_1],[C_15_1+C_19_1],[C_16_1+C_20_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_9+A_2_13,A_2_10+A_2_14,A_2_11+A_2_15,A_2_12+A_2_16],[A_3_9+A_3_13,A_3_10+A_3_14,A_3_11+A_3_15,A_3_12+A_3_16]]),Matrix(4, 4, [[-B_13_5+B_13_9-a31/(a21+a11)*B_1_17+a31/(a21+a11)*B_5_17+B_9_17,-B_13_6+B_13_10-a31/(a21+a11)*B_1_18+a31/(a21+a11)*B_5_18+B_9_18,-B_13_7+B_13_11-a31/(a21+a11)*B_1_19+a31/(a21+a11)*B_5_19+B_9_19,-B_13_8+B_13_12-a31/(a21+a11)*B_1_20+a31/(a21+a11)*B_5_20+B_9_20],[-B_14_5+B_14_9-a31/(a21+a11)*B_2_17+a31/(a21+a11)*B_6_17+B_10_17,-B_14_6+B_14_10-a31/(a21+a11)*B_2_18+a31/(a21+a11)*B_6_18+B_10_18,-B_14_7+B_14_11-a31/(a21+a11)*B_2_19+a31/(a21+a11)*B_6_19+B_10_19,-B_14_8+B_14_12-a31/(a21+a11)*B_2_20+a31/(a21+a11)*B_6_20+B_10_20],[-B_15_5+B_15_9-a31/(a21+a11)*B_3_17+a31/(a21+a11)*B_7_17+B_11_17,-B_15_6+B_15_10-a31/(a21+a11)*B_3_18+a31/(a21+a11)*B_7_18+B_11_18,-B_15_7+B_15_11-a31/(a21+a11)*B_3_19+a31/(a21+a11)*B_7_19+B_11_19,-B_15_8+B_15_12-a31/(a21+a11)*B_3_20+a31/(a21+a11)*B_7_20+B_11_20],[-B_16_5+B_16_9-a31/(a21+a11)*B_4_17+a31/(a21+a11)*B_8_17+B_12_17,-B_16_6+B_16_10-a31/(a21+a11)*B_4_18+a31/(a21+a11)*B_8_18+B_12_18,-B_16_7+B_16_11-a31/(a21+a11)*B_4_19+a31/(a21+a11)*B_8_19+B_12_19,-B_16_8+B_16_12-a31/(a21+a11)*B_4_20+a31/(a21+a11)*B_8_20+B_12_20]]),Matrix(4, 2, [[C_9_2+C_13_2,C_9_3+C_13_3],[C_10_2+C_14_2,C_10_3+C_14_3],[C_11_2+C_15_2,C_11_3+C_15_3],[C_12_2+C_16_2,C_12_3+C_16_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_13+A_2_17,A_2_14+A_2_18,A_2_15+A_2_19,A_2_16+A_2_20],[A_3_13+A_3_17,A_3_14+A_3_18,A_3_15+A_3_19,A_3_16+A_3_20]]),Matrix(4, 4, [[1/a11*B_1_13+(a31+a41)/(a21+a11)*B_1_17-(a31+a41)/(a21+a11)*B_5_17-B_9_17+B_13_17,1/a11*B_1_14+(a31+a41)/(a21+a11)*B_1_18-(a31+a41)/(a21+a11)*B_5_18-B_9_18+B_13_18,1/a11*B_1_15+(a31+a41)/(a21+a11)*B_1_19-(a31+a41)/(a21+a11)*B_5_19-B_9_19+B_13_19,1/a11*B_1_16+(a31+a41)/(a21+a11)*B_1_20-(a31+a41)/(a21+a11)*B_5_20-B_9_20+B_13_20],[1/a11*B_2_13+(a31+a41)/(a21+a11)*B_2_17-(a31+a41)/(a21+a11)*B_6_17-B_10_17+B_14_17,1/a11*B_2_14+(a31+a41)/(a21+a11)*B_2_18-(a31+a41)/(a21+a11)*B_6_18-B_10_18+B_14_18,1/a11*B_2_15+(a31+a41)/(a21+a11)*B_2_19-(a31+a41)/(a21+a11)*B_6_19-B_10_19+B_14_19,1/a11*B_2_16+(a31+a41)/(a21+a11)*B_2_20-(a31+a41)/(a21+a11)*B_6_20-B_10_20+B_14_20],[1/a11*B_3_13+(a31+a41)/(a21+a11)*B_3_17-(a31+a41)/(a21+a11)*B_7_17-B_11_17+B_15_17,1/a11*B_3_14+(a31+a41)/(a21+a11)*B_3_18-(a31+a41)/(a21+a11)*B_7_18-B_11_18+B_15_18,1/a11*B_3_15+(a31+a41)/(a21+a11)*B_3_19-(a31+a41)/(a21+a11)*B_7_19-B_11_19+B_15_19,1/a11*B_3_16+(a31+a41)/(a21+a11)*B_3_20-(a31+a41)/(a21+a11)*B_7_20-B_11_20+B_15_20],[1/a11*B_4_13+(a31+a41)/(a21+a11)*B_4_17-(a31+a41)/(a21+a11)*B_8_17-B_12_17+B_16_17,1/a11*B_4_14+(a31+a41)/(a21+a11)*B_4_18-(a31+a41)/(a21+a11)*B_8_18-B_12_18+B_16_18,1/a11*B_4_15+(a31+a41)/(a21+a11)*B_4_19-(a31+a41)/(a21+a11)*B_8_19-B_12_19+B_16_19,1/a11*B_4_16+(a31+a41)/(a21+a11)*B_4_20-(a31+a41)/(a21+a11)*B_8_20-B_12_20+B_16_20]]),Matrix(4, 2, [[C_13_2+C_17_2,C_13_3+C_17_3],[C_14_2+C_18_2,C_14_3+C_18_3],[C_15_2+C_19_2,C_15_3+C_19_3],[C_16_2+C_20_2,C_16_3+C_20_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_17-A_3_17,A_1_18-A_3_18,A_1_19-A_3_19,A_1_20-A_3_20]]),Matrix(4, 4, [[a51/a41*B_13_1+B_17_1-B_17_5+B_17_9+a51/a11*B_1_13-B_17_13+(-a51+a21-a31)/(a21+a11)*B_1_17+(a51+a11+a31)/(a21+a11)*B_5_17+B_9_17+B_17_17-(a41+a51)/(a21+a31)*B_5_21+(a41+a51)/(a21+a31)*B_9_21+B_13_21-B_17_21,a51/a41*B_13_2+B_17_2-B_17_6+B_17_10+a51/a11*B_1_14-B_17_14+(-a51+a21-a31)/(a21+a11)*B_1_18+(a51+a11+a31)/(a21+a11)*B_5_18+B_9_18+B_17_18-(a41+a51)/(a21+a31)*B_5_22+(a41+a51)/(a21+a31)*B_9_22+B_13_22-B_17_22,a51/a41*B_13_3+B_17_3-B_17_7+B_17_11+a51/a11*B_1_15-B_17_15+(-a51+a21-a31)/(a21+a11)*B_1_19+(a51+a11+a31)/(a21+a11)*B_5_19+B_9_19+B_17_19-(a41+a51)/(a21+a31)*B_5_23+(a41+a51)/(a21+a31)*B_9_23+B_13_23-B_17_23,a51/a41*B_13_4+B_17_4-B_17_8+B_17_12+a51/a11*B_1_16-B_17_16+(-a51+a21-a31)/(a21+a11)*B_1_20+(a51+a11+a31)/(a21+a11)*B_5_20+B_9_20+B_17_20-(a41+a51)/(a21+a31)*B_5_24+(a41+a51)/(a21+a31)*B_9_24+B_13_24-B_17_24],[a51/a41*B_14_1+B_18_1-B_18_5+B_18_9+a51/a11*B_2_13-B_18_13+(-a51+a21-a31)/(a21+a11)*B_2_17+(a51+a11+a31)/(a21+a11)*B_6_17+B_10_17+B_18_17-(a41+a51)/(a21+a31)*B_6_21+(a41+a51)/(a21+a31)*B_10_21+B_14_21-B_18_21,a51/a41*B_14_2+B_18_2-B_18_6+B_18_10+a51/a11*B_2_14-B_18_14+(-a51+a21-a31)/(a21+a11)*B_2_18+(a51+a11+a31)/(a21+a11)*B_6_18+B_10_18+B_18_18-(a41+a51)/(a21+a31)*B_6_22+(a41+a51)/(a21+a31)*B_10_22+B_14_22-B_18_22,a51/a41*B_14_3+B_18_3-B_18_7+B_18_11+a51/a11*B_2_15-B_18_15+(-a51+a21-a31)/(a21+a11)*B_2_19+(a51+a11+a31)/(a21+a11)*B_6_19+B_10_19+B_18_19-(a41+a51)/(a21+a31)*B_6_23+(a41+a51)/(a21+a31)*B_10_23+B_14_23-B_18_23,a51/a41*B_14_4+B_18_4-B_18_8+B_18_12+a51/a11*B_2_16-B_18_16+(-a51+a21-a31)/(a21+a11)*B_2_20+(a51+a11+a31)/(a21+a11)*B_6_20+B_10_20+B_18_20-(a41+a51)/(a21+a31)*B_6_24+(a41+a51)/(a21+a31)*B_10_24+B_14_24-B_18_24],[a51/a41*B_15_1+B_19_1-B_19_5+B_19_9+a51/a11*B_3_13-B_19_13+(-a51+a21-a31)/(a21+a11)*B_3_17+(a51+a11+a31)/(a21+a11)*B_7_17+B_11_17+B_19_17-(a41+a51)/(a21+a31)*B_7_21+(a41+a51)/(a21+a31)*B_11_21+B_15_21-B_19_21,a51/a41*B_15_2+B_19_2-B_19_6+B_19_10+a51/a11*B_3_14-B_19_14+(-a51+a21-a31)/(a21+a11)*B_3_18+(a51+a11+a31)/(a21+a11)*B_7_18+B_11_18+B_19_18-(a41+a51)/(a21+a31)*B_7_22+(a41+a51)/(a21+a31)*B_11_22+B_15_22-B_19_22,a51/a41*B_15_3+B_19_3-B_19_7+B_19_11+a51/a11*B_3_15-B_19_15+(-a51+a21-a31)/(a21+a11)*B_3_19+(a51+a11+a31)/(a21+a11)*B_7_19+B_11_19+B_19_19-(a41+a51)/(a21+a31)*B_7_23+(a41+a51)/(a21+a31)*B_11_23+B_15_23-B_19_23,a51/a41*B_15_4+B_19_4-B_19_8+B_19_12+a51/a11*B_3_16-B_19_16+(-a51+a21-a31)/(a21+a11)*B_3_20+(a51+a11+a31)/(a21+a11)*B_7_20+B_11_20+B_19_20-(a41+a51)/(a21+a31)*B_7_24+(a41+a51)/(a21+a31)*B_11_24+B_15_24-B_19_24],[a51/a41*B_16_1+B_20_1-B_20_5+B_20_9+a51/a11*B_4_13-B_20_13+(-a51+a21-a31)/(a21+a11)*B_4_17+(a51+a11+a31)/(a21+a11)*B_8_17+B_12_17+B_20_17-(a41+a51)/(a21+a31)*B_8_21+(a41+a51)/(a21+a31)*B_12_21+B_16_21-B_20_21,a51/a41*B_16_2+B_20_2-B_20_6+B_20_10+a51/a11*B_4_14-B_20_14+(-a51+a21-a31)/(a21+a11)*B_4_18+(a51+a11+a31)/(a21+a11)*B_8_18+B_12_18+B_20_18-(a41+a51)/(a21+a31)*B_8_22+(a41+a51)/(a21+a31)*B_12_22+B_16_22-B_20_22,a51/a41*B_16_3+B_20_3-B_20_7+B_20_11+a51/a11*B_4_15-B_20_15+(-a51+a21-a31)/(a21+a11)*B_4_19+(a51+a11+a31)/(a21+a11)*B_8_19+B_12_19+B_20_19-(a41+a51)/(a21+a31)*B_8_23+(a41+a51)/(a21+a31)*B_12_23+B_16_23-B_20_23,a51/a41*B_16_4+B_20_4-B_20_8+B_20_12+a51/a11*B_4_16-B_20_16+(-a51+a21-a31)/(a21+a11)*B_4_20+(a51+a11+a31)/(a21+a11)*B_8_20+B_12_20+B_20_20-(a41+a51)/(a21+a31)*B_8_24+(a41+a51)/(a21+a31)*B_12_24+B_16_24-B_20_24]]),Matrix(4, 1, [[C_17_1],[C_18_1],[C_19_1],[C_20_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_17,A_2_18,A_2_19,A_2_20],[A_1_13+A_3_17,A_1_14+A_3_18,A_1_15+A_3_19,A_1_16+A_3_20]]),Matrix(4, 4, [[a51/a41*B_13_1+B_17_1-B_17_5+B_17_9+a51/a11*B_1_13-B_17_13+(a31+a41)/(a21+a11)*B_1_17-(a31+a41)/(a21+a11)*B_5_17-B_9_17+B_13_17,a51/a41*B_13_2+B_17_2-B_17_6+B_17_10+a51/a11*B_1_14-B_17_14+(a31+a41)/(a21+a11)*B_1_18-(a31+a41)/(a21+a11)*B_5_18-B_9_18+B_13_18,a51/a41*B_13_3+B_17_3-B_17_7+B_17_11+a51/a11*B_1_15-B_17_15+(a31+a41)/(a21+a11)*B_1_19-(a31+a41)/(a21+a11)*B_5_19-B_9_19+B_13_19,a51/a41*B_13_4+B_17_4-B_17_8+B_17_12+a51/a11*B_1_16-B_17_16+(a31+a41)/(a21+a11)*B_1_20-(a31+a41)/(a21+a11)*B_5_20-B_9_20+B_13_20],[a51/a41*B_14_1+B_18_1-B_18_5+B_18_9+a51/a11*B_2_13-B_18_13+(a31+a41)/(a21+a11)*B_2_17-(a31+a41)/(a21+a11)*B_6_17-B_10_17+B_14_17,a51/a41*B_14_2+B_18_2-B_18_6+B_18_10+a51/a11*B_2_14-B_18_14+(a31+a41)/(a21+a11)*B_2_18-(a31+a41)/(a21+a11)*B_6_18-B_10_18+B_14_18,a51/a41*B_14_3+B_18_3-B_18_7+B_18_11+a51/a11*B_2_15-B_18_15+(a31+a41)/(a21+a11)*B_2_19-(a31+a41)/(a21+a11)*B_6_19-B_10_19+B_14_19,a51/a41*B_14_4+B_18_4-B_18_8+B_18_12+a51/a11*B_2_16-B_18_16+(a31+a41)/(a21+a11)*B_2_20-(a31+a41)/(a21+a11)*B_6_20-B_10_20+B_14_20],[a51/a41*B_15_1+B_19_1-B_19_5+B_19_9+a51/a11*B_3_13-B_19_13+(a31+a41)/(a21+a11)*B_3_17-(a31+a41)/(a21+a11)*B_7_17-B_11_17+B_15_17,a51/a41*B_15_2+B_19_2-B_19_6+B_19_10+a51/a11*B_3_14-B_19_14+(a31+a41)/(a21+a11)*B_3_18-(a31+a41)/(a21+a11)*B_7_18-B_11_18+B_15_18,a51/a41*B_15_3+B_19_3-B_19_7+B_19_11+a51/a11*B_3_15-B_19_15+(a31+a41)/(a21+a11)*B_3_19-(a31+a41)/(a21+a11)*B_7_19-B_11_19+B_15_19,a51/a41*B_15_4+B_19_4-B_19_8+B_19_12+a51/a11*B_3_16-B_19_16+(a31+a41)/(a21+a11)*B_3_20-(a31+a41)/(a21+a11)*B_7_20-B_11_20+B_15_20],[a51/a41*B_16_1+B_20_1-B_20_5+B_20_9+a51/a11*B_4_13-B_20_13+(a31+a41)/(a21+a11)*B_4_17-(a31+a41)/(a21+a11)*B_8_17-B_12_17+B_16_17,a51/a41*B_16_2+B_20_2-B_20_6+B_20_10+a51/a11*B_4_14-B_20_14+(a31+a41)/(a21+a11)*B_4_18-(a31+a41)/(a21+a11)*B_8_18-B_12_18+B_16_18,a51/a41*B_16_3+B_20_3-B_20_7+B_20_11+a51/a11*B_4_15-B_20_15+(a31+a41)/(a21+a11)*B_4_19-(a31+a41)/(a21+a11)*B_8_19-B_12_19+B_16_19,a51/a41*B_16_4+B_20_4-B_20_8+B_20_12+a51/a11*B_4_16-B_20_16+(a31+a41)/(a21+a11)*B_4_20-(a31+a41)/(a21+a11)*B_8_20-B_12_20+B_16_20]]),Matrix(4, 2, [[-C_13_2,C_17_1-C_13_3],[-C_14_2,C_18_1-C_14_3],[-C_15_2,C_19_1-C_15_3],[-C_16_2,C_20_1-C_16_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_5+A_2_9-A_2_13,A_2_6+A_2_10-A_2_14,A_2_7+A_2_11-A_2_15,A_2_8+A_2_12-A_2_16],[A_3_5+A_3_9+A_1_13-A_3_13,A_3_6+A_3_10+A_1_14-A_3_14,A_3_7+A_3_11+A_1_15-A_3_15,A_3_8+A_3_12+A_1_16-A_3_16]]),Matrix(4, 4, [[-B_13_1-a41/a51*B_17_1+B_13_5+a41/a51*B_17_5-a21/a11*B_1_13-B_5_13,-B_13_2-a41/a51*B_17_2+B_13_6+a41/a51*B_17_6-a21/a11*B_1_14-B_5_14,-B_13_3-a41/a51*B_17_3+B_13_7+a41/a51*B_17_7-a21/a11*B_1_15-B_5_15,-B_13_4-a41/a51*B_17_4+B_13_8+a41/a51*B_17_8-a21/a11*B_1_16-B_5_16],[-B_14_1-a41/a51*B_18_1+B_14_5+a41/a51*B_18_5-a21/a11*B_2_13-B_6_13,-B_14_2-a41/a51*B_18_2+B_14_6+a41/a51*B_18_6-a21/a11*B_2_14-B_6_14,-B_14_3-a41/a51*B_18_3+B_14_7+a41/a51*B_18_7-a21/a11*B_2_15-B_6_15,-B_14_4-a41/a51*B_18_4+B_14_8+a41/a51*B_18_8-a21/a11*B_2_16-B_6_16],[-B_15_1-a41/a51*B_19_1+B_15_5+a41/a51*B_19_5-a21/a11*B_3_13-B_7_13,-B_15_2-a41/a51*B_19_2+B_15_6+a41/a51*B_19_6-a21/a11*B_3_14-B_7_14,-B_15_3-a41/a51*B_19_3+B_15_7+a41/a51*B_19_7-a21/a11*B_3_15-B_7_15,-B_15_4-a41/a51*B_19_4+B_15_8+a41/a51*B_19_8-a21/a11*B_3_16-B_7_16],[-B_16_1-a41/a51*B_20_1+B_16_5+a41/a51*B_20_5-a21/a11*B_4_13-B_8_13,-B_16_2-a41/a51*B_20_2+B_16_6+a41/a51*B_20_6-a21/a11*B_4_14-B_8_14,-B_16_3-a41/a51*B_20_3+B_16_7+a41/a51*B_20_7-a21/a11*B_4_15-B_8_15,-B_16_4-a41/a51*B_20_4+B_16_8+a41/a51*B_20_8-a21/a11*B_4_16-B_8_16]]),Matrix(4, 2, [[-C_13_2,C_5_1+C_9_1-C_13_1-C_13_3],[-C_14_2,C_6_1+C_10_1-C_14_1-C_14_3],[-C_15_2,C_11_1+C_7_1-C_15_1-C_15_3],[-C_16_2,C_8_1+C_12_1-C_16_1-C_16_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_9,A_2_10,A_2_11,A_2_12],[A_1_1+A_1_5-A_1_9+A_3_9,A_1_2+A_1_6-A_1_10+A_3_10,A_1_3+A_1_7-A_1_11+A_3_11,A_1_4+A_1_8-A_1_12+A_3_12]]),Matrix(4, 4, [[-B_9_1+(-a31+a11)/a41*B_13_1+a11/a51*B_17_1-a11/a51*B_17_5+B_1_9,-B_9_2+(-a31+a11)/a41*B_13_2+a11/a51*B_17_2-a11/a51*B_17_6+B_1_10,-B_9_3+(-a31+a11)/a41*B_13_3+a11/a51*B_17_3-a11/a51*B_17_7+B_1_11,-B_9_4+(-a31+a11)/a41*B_13_4+a11/a51*B_17_4-a11/a51*B_17_8+B_1_12],[-B_10_1+(-a31+a11)/a41*B_14_1+a11/a51*B_18_1-a11/a51*B_18_5+B_2_9,-B_10_2+(-a31+a11)/a41*B_14_2+a11/a51*B_18_2-a11/a51*B_18_6+B_2_10,-B_10_3+(-a31+a11)/a41*B_14_3+a11/a51*B_18_3-a11/a51*B_18_7+B_2_11,-B_10_4+(-a31+a11)/a41*B_14_4+a11/a51*B_18_4-a11/a51*B_18_8+B_2_12],[-B_11_1+(-a31+a11)/a41*B_15_1+a11/a51*B_19_1-a11/a51*B_19_5+B_3_9,-B_11_2+(-a31+a11)/a41*B_15_2+a11/a51*B_19_2-a11/a51*B_19_6+B_3_10,-B_11_3+(-a31+a11)/a41*B_15_3+a11/a51*B_19_3-a11/a51*B_19_7+B_3_11,-B_11_4+(-a31+a11)/a41*B_15_4+a11/a51*B_19_4-a11/a51*B_19_8+B_3_12],[-B_12_1+(-a31+a11)/a41*B_16_1+a11/a51*B_20_1-a11/a51*B_20_5+B_4_9,-B_12_2+(-a31+a11)/a41*B_16_2+a11/a51*B_20_2-a11/a51*B_20_6+B_4_10,-B_12_3+(-a31+a11)/a41*B_16_3+a11/a51*B_20_3-a11/a51*B_20_7+B_4_11,-B_12_4+(-a31+a11)/a41*B_16_4+a11/a51*B_20_4-a11/a51*B_20_8+B_4_12]]),Matrix(4, 2, [[-C_1_2-C_5_2+C_9_2,C_9_1-C_1_3-C_5_3+C_9_3],[-C_2_2-C_6_2+C_10_2,C_10_1-C_2_3-C_6_3+C_10_3],[-C_3_2-C_7_2+C_11_2,C_11_1-C_3_3-C_7_3+C_11_3],[-C_4_2-C_8_2+C_12_2,C_12_1-C_4_3-C_8_3+C_12_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_17,A_2_18,A_2_19,A_2_20],[A_1_1+A_1_5-A_1_17+A_3_17,A_1_2+A_1_6-A_1_18+A_3_18,A_1_3+A_1_7-A_1_19+A_3_19,A_1_4+A_1_8-A_1_20+A_3_20]]),Matrix(4, 4, [[-a51/a41*B_13_1-B_17_1+a21/(a21+a11)*B_1_17+a11/(a21+a11)*B_5_17,-a51/a41*B_13_2-B_17_2+a21/(a21+a11)*B_1_18+a11/(a21+a11)*B_5_18,-a51/a41*B_13_3-B_17_3+a21/(a21+a11)*B_1_19+a11/(a21+a11)*B_5_19,-a51/a41*B_13_4-B_17_4+a21/(a21+a11)*B_1_20+a11/(a21+a11)*B_5_20],[-a51/a41*B_14_1-B_18_1+a21/(a21+a11)*B_2_17+a11/(a21+a11)*B_6_17,-a51/a41*B_14_2-B_18_2+a21/(a21+a11)*B_2_18+a11/(a21+a11)*B_6_18,-a51/a41*B_14_3-B_18_3+a21/(a21+a11)*B_2_19+a11/(a21+a11)*B_6_19,-a51/a41*B_14_4-B_18_4+a21/(a21+a11)*B_2_20+a11/(a21+a11)*B_6_20],[-a51/a41*B_15_1-B_19_1+a21/(a21+a11)*B_3_17+a11/(a21+a11)*B_7_17,-a51/a41*B_15_2-B_19_2+a21/(a21+a11)*B_3_18+a11/(a21+a11)*B_7_18,-a51/a41*B_15_3-B_19_3+a21/(a21+a11)*B_3_19+a11/(a21+a11)*B_7_19,-a51/a41*B_15_4-B_19_4+a21/(a21+a11)*B_3_20+a11/(a21+a11)*B_7_20],[-a51/a41*B_16_1-B_20_1+a21/(a21+a11)*B_4_17+a11/(a21+a11)*B_8_17,-a51/a41*B_16_2-B_20_2+a21/(a21+a11)*B_4_18+a11/(a21+a11)*B_8_18,-a51/a41*B_16_3-B_20_3+a21/(a21+a11)*B_4_19+a11/(a21+a11)*B_8_19,-a51/a41*B_16_4-B_20_4+a21/(a21+a11)*B_4_20+a11/(a21+a11)*B_8_20]]),Matrix(4, 2, [[-C_1_2-C_5_2+C_17_2,C_17_1-C_1_3-C_5_3+C_17_3],[-C_2_2-C_6_2+C_18_2,C_18_1-C_2_3-C_6_3+C_18_3],[-C_3_2-C_7_2+C_19_2,C_19_1-C_3_3-C_7_3+C_19_3],[-C_4_2-C_8_2+C_20_2,C_20_1-C_4_3-C_8_3+C_20_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_17,A_2_18,A_2_19,A_2_20],[A_1_9+A_1_13-A_1_17+A_3_17,A_1_10+A_1_14-A_1_18+A_3_18,A_1_11+A_1_15-A_1_19+A_3_19,A_1_12+A_1_16-A_1_20+A_3_20]]),Matrix(4, 4, [[-a51/a41*B_13_1-B_17_1+B_17_5-B_17_9-a31/(a21+a11)*B_1_17+a31/(a21+a11)*B_5_17+B_9_17,-a51/a41*B_13_2-B_17_2+B_17_6-B_17_10-a31/(a21+a11)*B_1_18+a31/(a21+a11)*B_5_18+B_9_18,-a51/a41*B_13_3-B_17_3+B_17_7-B_17_11-a31/(a21+a11)*B_1_19+a31/(a21+a11)*B_5_19+B_9_19,-a51/a41*B_13_4-B_17_4+B_17_8-B_17_12-a31/(a21+a11)*B_1_20+a31/(a21+a11)*B_5_20+B_9_20],[-a51/a41*B_14_1-B_18_1+B_18_5-B_18_9-a31/(a21+a11)*B_2_17+a31/(a21+a11)*B_6_17+B_10_17,-a51/a41*B_14_2-B_18_2+B_18_6-B_18_10-a31/(a21+a11)*B_2_18+a31/(a21+a11)*B_6_18+B_10_18,-a51/a41*B_14_3-B_18_3+B_18_7-B_18_11-a31/(a21+a11)*B_2_19+a31/(a21+a11)*B_6_19+B_10_19,-a51/a41*B_14_4-B_18_4+B_18_8-B_18_12-a31/(a21+a11)*B_2_20+a31/(a21+a11)*B_6_20+B_10_20],[-a51/a41*B_15_1-B_19_1+B_19_5-B_19_9-a31/(a21+a11)*B_3_17+a31/(a21+a11)*B_7_17+B_11_17,-a51/a41*B_15_2-B_19_2+B_19_6-B_19_10-a31/(a21+a11)*B_3_18+a31/(a21+a11)*B_7_18+B_11_18,-a51/a41*B_15_3-B_19_3+B_19_7-B_19_11-a31/(a21+a11)*B_3_19+a31/(a21+a11)*B_7_19+B_11_19,-a51/a41*B_15_4-B_19_4+B_19_8-B_19_12-a31/(a21+a11)*B_3_20+a31/(a21+a11)*B_7_20+B_11_20],[-a51/a41*B_16_1-B_20_1+B_20_5-B_20_9-a31/(a21+a11)*B_4_17+a31/(a21+a11)*B_8_17+B_12_17,-a51/a41*B_16_2-B_20_2+B_20_6-B_20_10-a31/(a21+a11)*B_4_18+a31/(a21+a11)*B_8_18+B_12_18,-a51/a41*B_16_3-B_20_3+B_20_7-B_20_11-a31/(a21+a11)*B_4_19+a31/(a21+a11)*B_8_19+B_12_19,-a51/a41*B_16_4-B_20_4+B_20_8-B_20_12-a31/(a21+a11)*B_4_20+a31/(a21+a11)*B_8_20+B_12_20]]),Matrix(4, 2, [[-C_9_2-C_13_2+C_17_2,C_17_1-C_9_3-C_13_3+C_17_3],[-C_10_2-C_14_2+C_18_2,C_18_1-C_10_3-C_14_3+C_18_3],[-C_11_2-C_15_2+C_19_2,C_19_1-C_11_3-C_15_3+C_19_3],[-C_12_2-C_16_2+C_20_2,C_20_1-C_12_3-C_16_3+C_20_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_1-A_2_5+A_2_9,-A_2_2-A_2_6+A_2_10,-A_2_3-A_2_7+A_2_11,-A_2_4-A_2_8+A_2_12],[A_1_1-A_3_1+A_1_5-A_3_5-A_1_9+A_3_9,A_1_2-A_3_2+A_1_6-A_3_6-A_1_10+A_3_10,A_1_3-A_3_3+A_1_7-A_3_7-A_1_11+A_3_11,A_1_4-A_3_4+A_1_8-A_3_8-A_1_12+A_3_12]]),Matrix(4, 4, [[a11/a41*B_13_1+a11/a51*B_17_1-a11/a51*B_17_5+B_1_9,a11/a41*B_13_2+a11/a51*B_17_2-a11/a51*B_17_6+B_1_10,a11/a41*B_13_3+a11/a51*B_17_3-a11/a51*B_17_7+B_1_11,a11/a41*B_13_4+a11/a51*B_17_4-a11/a51*B_17_8+B_1_12],[a11/a41*B_14_1+a11/a51*B_18_1-a11/a51*B_18_5+B_2_9,a11/a41*B_14_2+a11/a51*B_18_2-a11/a51*B_18_6+B_2_10,a11/a41*B_14_3+a11/a51*B_18_3-a11/a51*B_18_7+B_2_11,a11/a41*B_14_4+a11/a51*B_18_4-a11/a51*B_18_8+B_2_12],[a11/a41*B_15_1+a11/a51*B_19_1-a11/a51*B_19_5+B_3_9,a11/a41*B_15_2+a11/a51*B_19_2-a11/a51*B_19_6+B_3_10,a11/a41*B_15_3+a11/a51*B_19_3-a11/a51*B_19_7+B_3_11,a11/a41*B_15_4+a11/a51*B_19_4-a11/a51*B_19_8+B_3_12],[a11/a41*B_16_1+a11/a51*B_20_1-a11/a51*B_20_5+B_4_9,a11/a41*B_16_2+a11/a51*B_20_2-a11/a51*B_20_6+B_4_10,a11/a41*B_16_3+a11/a51*B_20_3-a11/a51*B_20_7+B_4_11,a11/a41*B_16_4+a11/a51*B_20_4-a11/a51*B_20_8+B_4_12]]),Matrix(4, 2, [[C_1_2+C_5_2-C_9_2,C_1_3+C_5_3-C_9_3],[C_2_2+C_6_2-C_10_2,C_2_3+C_6_3-C_10_3],[C_3_2+C_7_2-C_11_2,C_3_3+C_7_3-C_11_3],[C_4_2+C_8_2-C_12_2,C_4_3+C_8_3-C_12_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_1-A_2_5+A_2_17,-A_2_2-A_2_6+A_2_18,-A_2_3-A_2_7+A_2_19,-A_2_4-A_2_8+A_2_20],[A_1_1-A_3_1+A_1_5-A_3_5-A_1_17+A_3_17,A_1_2-A_3_2+A_1_6-A_3_6-A_1_18+A_3_18,A_1_3-A_3_3+A_1_7-A_3_7-A_1_19+A_3_19,A_1_4-A_3_4+A_1_8-A_3_8-A_1_20+A_3_20]]),Matrix(4, 4, [[a21/(a21+a11)*B_1_17+a11/(a21+a11)*B_5_17,a21/(a21+a11)*B_1_18+a11/(a21+a11)*B_5_18,a21/(a21+a11)*B_1_19+a11/(a21+a11)*B_5_19,a21/(a21+a11)*B_1_20+a11/(a21+a11)*B_5_20],[a21/(a21+a11)*B_2_17+a11/(a21+a11)*B_6_17,a21/(a21+a11)*B_2_18+a11/(a21+a11)*B_6_18,a21/(a21+a11)*B_2_19+a11/(a21+a11)*B_6_19,a21/(a21+a11)*B_2_20+a11/(a21+a11)*B_6_20],[a21/(a21+a11)*B_3_17+a11/(a21+a11)*B_7_17,a21/(a21+a11)*B_3_18+a11/(a21+a11)*B_7_18,a21/(a21+a11)*B_3_19+a11/(a21+a11)*B_7_19,a21/(a21+a11)*B_3_20+a11/(a21+a11)*B_7_20],[a21/(a21+a11)*B_4_17+a11/(a21+a11)*B_8_17,a21/(a21+a11)*B_4_18+a11/(a21+a11)*B_8_18,a21/(a21+a11)*B_4_19+a11/(a21+a11)*B_8_19,a21/(a21+a11)*B_4_20+a11/(a21+a11)*B_8_20]]),Matrix(4, 2, [[C_1_2+C_5_2-C_17_2,C_1_3+C_5_3-C_17_3],[C_2_2+C_6_2-C_18_2,C_2_3+C_6_3-C_18_3],[C_3_2+C_7_2-C_19_2,C_3_3+C_7_3-C_19_3],[C_4_2+C_8_2-C_20_2,C_4_3+C_8_3-C_20_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_9-A_2_13+A_2_17,-A_2_10-A_2_14+A_2_18,-A_2_11-A_2_15+A_2_19,-A_2_12-A_2_16+A_2_20],[A_1_9-A_3_9+A_1_13-A_3_13-A_1_17+A_3_17,A_1_10-A_3_10+A_1_14-A_3_14-A_1_18+A_3_18,A_1_11-A_3_11+A_1_15-A_3_15-A_1_19+A_3_19,A_1_12-A_3_12+A_1_16-A_3_16-A_1_20+A_3_20]]),Matrix(4, 4, [[-a31/(a21+a11)*B_1_17+a31/(a21+a11)*B_5_17+B_9_17,-a31/(a21+a11)*B_1_18+a31/(a21+a11)*B_5_18+B_9_18,-a31/(a21+a11)*B_1_19+a31/(a21+a11)*B_5_19+B_9_19,-a31/(a21+a11)*B_1_20+a31/(a21+a11)*B_5_20+B_9_20],[-a31/(a21+a11)*B_2_17+a31/(a21+a11)*B_6_17+B_10_17,-a31/(a21+a11)*B_2_18+a31/(a21+a11)*B_6_18+B_10_18,-a31/(a21+a11)*B_2_19+a31/(a21+a11)*B_6_19+B_10_19,-a31/(a21+a11)*B_2_20+a31/(a21+a11)*B_6_20+B_10_20],[-a31/(a21+a11)*B_3_17+a31/(a21+a11)*B_7_17+B_11_17,-a31/(a21+a11)*B_3_18+a31/(a21+a11)*B_7_18+B_11_18,-a31/(a21+a11)*B_3_19+a31/(a21+a11)*B_7_19+B_11_19,-a31/(a21+a11)*B_3_20+a31/(a21+a11)*B_7_20+B_11_20],[-a31/(a21+a11)*B_4_17+a31/(a21+a11)*B_8_17+B_12_17,-a31/(a21+a11)*B_4_18+a31/(a21+a11)*B_8_18+B_12_18,-a31/(a21+a11)*B_4_19+a31/(a21+a11)*B_8_19+B_12_19,-a31/(a21+a11)*B_4_20+a31/(a21+a11)*B_8_20+B_12_20]]),Matrix(4, 2, [[C_9_2+C_13_2-C_17_2,C_9_3+C_13_3-C_17_3],[C_10_2+C_14_2-C_18_2,C_10_3+C_14_3-C_18_3],[C_11_2+C_15_2-C_19_2,C_11_3+C_15_3-C_19_3],[C_12_2+C_16_2-C_20_2,C_12_3+C_16_3-C_20_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_1*a11-A_1_13*a41+A_1_17*a51-A_1_5*a21+A_1_9*a31,A_1_10*a31-A_1_14*a41+A_1_18*a51+A_1_2*a11-A_1_6*a21,A_1_11*a31-A_1_15*a41+A_1_19*a51+A_1_3*a11-A_1_7*a21,A_1_12*a31-A_1_16*a41+A_1_20*a51+A_1_4*a11-A_1_8*a21]]),Matrix(4, 4, [[-1/a41*B_13_1-1/a51*B_17_1+1/a51*B_17_5+1/a11*B_1_13-B_1_21-(a11+a41+a51+1)/(a21+a31)*B_5_21+(a11+a41+a51+1)/(a21+a31)*B_9_21+B_13_21-B_17_21,-1/a41*B_13_2-1/a51*B_17_2+1/a51*B_17_6+1/a11*B_1_14-B_1_22-(a11+a41+a51+1)/(a21+a31)*B_5_22+(a11+a41+a51+1)/(a21+a31)*B_9_22+B_13_22-B_17_22,-1/a41*B_13_3-1/a51*B_17_3+1/a51*B_17_7+1/a11*B_1_15-B_1_23-(a11+a41+a51+1)/(a21+a31)*B_5_23+(a11+a41+a51+1)/(a21+a31)*B_9_23+B_13_23-B_17_23,-1/a41*B_13_4-1/a51*B_17_4+1/a51*B_17_8+1/a11*B_1_16-B_1_24-(a11+a41+a51+1)/(a21+a31)*B_5_24+(a11+a41+a51+1)/(a21+a31)*B_9_24+B_13_24-B_17_24],[-1/a41*B_14_1-1/a51*B_18_1+1/a51*B_18_5+1/a11*B_2_13-B_2_21-(a11+a41+a51+1)/(a21+a31)*B_6_21+(a11+a41+a51+1)/(a21+a31)*B_10_21+B_14_21-B_18_21,-1/a41*B_14_2-1/a51*B_18_2+1/a51*B_18_6+1/a11*B_2_14-B_2_22-(a11+a41+a51+1)/(a21+a31)*B_6_22+(a11+a41+a51+1)/(a21+a31)*B_10_22+B_14_22-B_18_22,-1/a41*B_14_3-1/a51*B_18_3+1/a51*B_18_7+1/a11*B_2_15-B_2_23-(a11+a41+a51+1)/(a21+a31)*B_6_23+(a11+a41+a51+1)/(a21+a31)*B_10_23+B_14_23-B_18_23,-1/a41*B_14_4-1/a51*B_18_4+1/a51*B_18_8+1/a11*B_2_16-B_2_24-(a11+a41+a51+1)/(a21+a31)*B_6_24+(a11+a41+a51+1)/(a21+a31)*B_10_24+B_14_24-B_18_24],[-1/a41*B_15_1-1/a51*B_19_1+1/a51*B_19_5+1/a11*B_3_13-B_3_21-(a11+a41+a51+1)/(a21+a31)*B_7_21+(a11+a41+a51+1)/(a21+a31)*B_11_21+B_15_21-B_19_21,-1/a41*B_15_2-1/a51*B_19_2+1/a51*B_19_6+1/a11*B_3_14-B_3_22-(a11+a41+a51+1)/(a21+a31)*B_7_22+(a11+a41+a51+1)/(a21+a31)*B_11_22+B_15_22-B_19_22,-1/a41*B_15_3-1/a51*B_19_3+1/a51*B_19_7+1/a11*B_3_15-B_3_23-(a11+a41+a51+1)/(a21+a31)*B_7_23+(a11+a41+a51+1)/(a21+a31)*B_11_23+B_15_23-B_19_23,-1/a41*B_15_4-1/a51*B_19_4+1/a51*B_19_8+1/a11*B_3_16-B_3_24-(a11+a41+a51+1)/(a21+a31)*B_7_24+(a11+a41+a51+1)/(a21+a31)*B_11_24+B_15_24-B_19_24],[-1/a41*B_16_1-1/a51*B_20_1+1/a51*B_20_5+1/a11*B_4_13-B_4_21-(a11+a41+a51+1)/(a21+a31)*B_8_21+(a11+a41+a51+1)/(a21+a31)*B_12_21+B_16_21-B_20_21,-1/a41*B_16_2-1/a51*B_20_2+1/a51*B_20_6+1/a11*B_4_14-B_4_22-(a11+a41+a51+1)/(a21+a31)*B_8_22+(a11+a41+a51+1)/(a21+a31)*B_12_22+B_16_22-B_20_22,-1/a41*B_16_3-1/a51*B_20_3+1/a51*B_20_7+1/a11*B_4_15-B_4_23-(a11+a41+a51+1)/(a21+a31)*B_8_23+(a11+a41+a51+1)/(a21+a31)*B_12_23+B_16_23-B_20_23,-1/a41*B_16_4-1/a51*B_20_4+1/a51*B_20_8+1/a11*B_4_16-B_4_24-(a11+a41+a51+1)/(a21+a31)*B_8_24+(a11+a41+a51+1)/(a21+a31)*B_12_24+B_16_24-B_20_24]]),Matrix(4, 1, [[C_21_1+C_21_3],[C_22_1+C_22_3],[C_23_1+C_23_3],[C_24_1+C_24_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_1*a11-A_1_13*a41-A_1_5*a21+A_1_9*a31+(a51+1)*A_1_17,A_1_10*a31-A_1_14*a41+A_1_2*a11-A_1_6*a21+(a51+1)*A_1_18,A_1_11*a31-A_1_15*a41+A_1_3*a11-A_1_7*a21+(a51+1)*A_1_19,A_1_12*a31-A_1_16*a41+A_1_4*a11-A_1_8*a21+(a51+1)*A_1_20]]),Matrix(4, 4, [[(a41+a51)/(a21+a31)*B_5_21-(a41+a51)/(a21+a31)*B_9_21-B_13_21+B_17_21,(a41+a51)/(a21+a31)*B_5_22-(a41+a51)/(a21+a31)*B_9_22-B_13_22+B_17_22,(a41+a51)/(a21+a31)*B_5_23-(a41+a51)/(a21+a31)*B_9_23-B_13_23+B_17_23,(a41+a51)/(a21+a31)*B_5_24-(a41+a51)/(a21+a31)*B_9_24-B_13_24+B_17_24],[(a41+a51)/(a21+a31)*B_6_21-(a41+a51)/(a21+a31)*B_10_21-B_14_21+B_18_21,(a41+a51)/(a21+a31)*B_6_22-(a41+a51)/(a21+a31)*B_10_22-B_14_22+B_18_22,(a41+a51)/(a21+a31)*B_6_23-(a41+a51)/(a21+a31)*B_10_23-B_14_23+B_18_23,(a41+a51)/(a21+a31)*B_6_24-(a41+a51)/(a21+a31)*B_10_24-B_14_24+B_18_24],[(a41+a51)/(a21+a31)*B_7_21-(a41+a51)/(a21+a31)*B_11_21-B_15_21+B_19_21,(a41+a51)/(a21+a31)*B_7_22-(a41+a51)/(a21+a31)*B_11_22-B_15_22+B_19_22,(a41+a51)/(a21+a31)*B_7_23-(a41+a51)/(a21+a31)*B_11_23-B_15_23+B_19_23,(a41+a51)/(a21+a31)*B_7_24-(a41+a51)/(a21+a31)*B_11_24-B_15_24+B_19_24],[(a41+a51)/(a21+a31)*B_8_21-(a41+a51)/(a21+a31)*B_12_21-B_16_21+B_20_21,(a41+a51)/(a21+a31)*B_8_22-(a41+a51)/(a21+a31)*B_12_22-B_16_22+B_20_22,(a41+a51)/(a21+a31)*B_8_23-(a41+a51)/(a21+a31)*B_12_23-B_16_23+B_20_23,(a41+a51)/(a21+a31)*B_8_24-(a41+a51)/(a21+a31)*B_12_24-B_16_24+B_20_24]]),Matrix(4, 1, [[C_17_1+C_21_1],[C_18_1+C_22_1],[C_19_1+C_23_1],[C_20_1+C_24_1]])))+Trace(Mul(Matrix(1, 4, [[(a11+1)*A_1_1-A_1_5*a21+A_1_9*a31-A_1_13*a41+A_1_17*a51,(a11+1)*A_1_2-A_1_6*a21+A_1_10*a31-A_1_14*a41+A_1_18*a51,(a11+1)*A_1_3-A_1_7*a21+A_1_11*a31-A_1_15*a41+A_1_19*a51,(a11+1)*A_1_4-A_1_8*a21+A_1_12*a31-A_1_16*a41+A_1_20*a51]]),Matrix(4, 4, [[B_1_21+a11/(a21+a31)*B_5_21-a11/(a21+a31)*B_9_21,B_1_22+a11/(a21+a31)*B_5_22-a11/(a21+a31)*B_9_22,B_1_23+a11/(a21+a31)*B_5_23-a11/(a21+a31)*B_9_23,B_1_24+a11/(a21+a31)*B_5_24-a11/(a21+a31)*B_9_24],[B_2_21+a11/(a21+a31)*B_6_21-a11/(a21+a31)*B_10_21,B_2_22+a11/(a21+a31)*B_6_22-a11/(a21+a31)*B_10_22,B_2_23+a11/(a21+a31)*B_6_23-a11/(a21+a31)*B_10_23,B_2_24+a11/(a21+a31)*B_6_24-a11/(a21+a31)*B_10_24],[B_3_21+a11/(a21+a31)*B_7_21-a11/(a21+a31)*B_11_21,B_3_22+a11/(a21+a31)*B_7_22-a11/(a21+a31)*B_11_22,B_3_23+a11/(a21+a31)*B_7_23-a11/(a21+a31)*B_11_23,B_3_24+a11/(a21+a31)*B_7_24-a11/(a21+a31)*B_11_24],[B_4_21+a11/(a21+a31)*B_8_21-a11/(a21+a31)*B_12_21,B_4_22+a11/(a21+a31)*B_8_22-a11/(a21+a31)*B_12_22,B_4_23+a11/(a21+a31)*B_8_23-a11/(a21+a31)*B_12_23,B_4_24+a11/(a21+a31)*B_8_24-a11/(a21+a31)*B_12_24]]),Matrix(4, 1, [[C_1_1+C_21_1],[C_2_1+C_22_1],[C_3_1+C_23_1],[C_4_1+C_24_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_1*a11-A_2_13*a41-A_2_5*a21+A_2_9*a31+(a51+1)*A_2_17,A_2_10*a31-A_2_14*a41+A_2_2*a11-A_2_6*a21+(a51+1)*A_2_18,A_2_11*a31-A_2_15*a41+A_2_3*a11-A_2_7*a21+(a51+1)*A_2_19,A_2_12*a31-A_2_16*a41+A_2_4*a11-A_2_8*a21+(a51+1)*A_2_20],[A_3_1*a11-A_3_13*a41-A_3_5*a21+A_3_9*a31+(a51+1)*A_3_17,A_3_10*a31-A_3_14*a41+A_3_2*a11-A_3_6*a21+(a51+1)*A_3_18,A_3_11*a31-A_3_15*a41+A_3_3*a11-A_3_7*a21+(a51+1)*A_3_19,A_3_12*a31-A_3_16*a41+A_3_4*a11-A_3_8*a21+(a51+1)*A_3_20]]),Matrix(4, 4, [[-1/a11*B_1_13+1/(a21+a11)*B_1_17-1/(a21+a11)*B_5_17,-1/a11*B_1_14+1/(a21+a11)*B_1_18-1/(a21+a11)*B_5_18,-1/a11*B_1_15+1/(a21+a11)*B_1_19-1/(a21+a11)*B_5_19,-1/a11*B_1_16+1/(a21+a11)*B_1_20-1/(a21+a11)*B_5_20],[-1/a11*B_2_13+1/(a21+a11)*B_2_17-1/(a21+a11)*B_6_17,-1/a11*B_2_14+1/(a21+a11)*B_2_18-1/(a21+a11)*B_6_18,-1/a11*B_2_15+1/(a21+a11)*B_2_19-1/(a21+a11)*B_6_19,-1/a11*B_2_16+1/(a21+a11)*B_2_20-1/(a21+a11)*B_6_20],[-1/a11*B_3_13+1/(a21+a11)*B_3_17-1/(a21+a11)*B_7_17,-1/a11*B_3_14+1/(a21+a11)*B_3_18-1/(a21+a11)*B_7_18,-1/a11*B_3_15+1/(a21+a11)*B_3_19-1/(a21+a11)*B_7_19,-1/a11*B_3_16+1/(a21+a11)*B_3_20-1/(a21+a11)*B_7_20],[-1/a11*B_4_13+1/(a21+a11)*B_4_17-1/(a21+a11)*B_8_17,-1/a11*B_4_14+1/(a21+a11)*B_4_18-1/(a21+a11)*B_8_18,-1/a11*B_4_15+1/(a21+a11)*B_4_19-1/(a21+a11)*B_8_19,-1/a11*B_4_16+1/(a21+a11)*B_4_20-1/(a21+a11)*B_8_20]]),Matrix(4, 2, [[C_17_2+C_21_2,C_17_3+C_21_3],[C_18_2+C_22_2,C_18_3+C_22_3],[C_19_2+C_23_2,C_19_3+C_23_3],[C_20_2+C_24_2,C_20_3+C_24_3]])))+Trace(Mul(Matrix(2, 4, [[-1/a41*(a11+1)*A_2_1+a21/a41*A_2_5-a31/a41*A_2_9+A_2_13-a51/a41*A_2_17,-1/a41*(a11+1)*A_2_2+a21/a41*A_2_6-a31/a41*A_2_10+A_2_14-a51/a41*A_2_18,-1/a41*(a11+1)*A_2_3+a21/a41*A_2_7-a31/a41*A_2_11+A_2_15-a51/a41*A_2_19,-1/a41*(a11+1)*A_2_4+a21/a41*A_2_8-a31/a41*A_2_12+A_2_16-a51/a41*A_2_20],[-1/a41*(a11+1)*A_3_1+a21/a41*A_3_5-a31/a41*A_3_9+A_3_13-a51/a41*A_3_17,-1/a41*(a11+1)*A_3_2+a21/a41*A_3_6-a31/a41*A_3_10+A_3_14-a51/a41*A_3_18,-1/a41*(a11+1)*A_3_3+a21/a41*A_3_7-a31/a41*A_3_11+A_3_15-a51/a41*A_3_19,-1/a41*(a11+1)*A_3_4+a21/a41*A_3_8-a31/a41*A_3_12+A_3_16-a51/a41*A_3_20]]),Matrix(4, 4, [[B_13_1,B_13_2,B_13_3,B_13_4],[B_14_1,B_14_2,B_14_3,B_14_4],[B_15_1,B_15_2,B_15_3,B_15_4],[B_16_1,B_16_2,B_16_3,B_16_4]]),Matrix(4, 2, [[C_1_2+C_21_2,C_1_3+C_21_3],[C_2_2+C_22_2,C_2_3+C_22_3],[C_3_2+C_23_2,C_3_3+C_23_3],[C_4_2+C_24_2,C_4_3+C_24_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_1,A_2_2,A_2_3,A_2_4],[A_1_1*a11-A_1_13*a41+A_1_17*a51-A_1_5*a21+A_1_9*a31+A_3_1,A_1_10*a31-A_1_14*a41+A_1_18*a51+A_1_2*a11-A_1_6*a21+A_3_2,A_1_11*a31-A_1_15*a41+A_1_19*a51+A_1_3*a11-A_1_7*a21+A_3_3,A_1_12*a31-A_1_16*a41+A_1_20*a51+A_1_4*a11-A_1_8*a21+A_3_4]]),Matrix(4, 4, [[-1/a41*B_13_1-B_1_21-a11/(a21+a31)*B_5_21+a11/(a21+a31)*B_9_21,-1/a41*B_13_2-B_1_22-a11/(a21+a31)*B_5_22+a11/(a21+a31)*B_9_22,-1/a41*B_13_3-B_1_23-a11/(a21+a31)*B_5_23+a11/(a21+a31)*B_9_23,-1/a41*B_13_4-B_1_24-a11/(a21+a31)*B_5_24+a11/(a21+a31)*B_9_24],[-1/a41*B_14_1-B_2_21-a11/(a21+a31)*B_6_21+a11/(a21+a31)*B_10_21,-1/a41*B_14_2-B_2_22-a11/(a21+a31)*B_6_22+a11/(a21+a31)*B_10_22,-1/a41*B_14_3-B_2_23-a11/(a21+a31)*B_6_23+a11/(a21+a31)*B_10_23,-1/a41*B_14_4-B_2_24-a11/(a21+a31)*B_6_24+a11/(a21+a31)*B_10_24],[-1/a41*B_15_1-B_3_21-a11/(a21+a31)*B_7_21+a11/(a21+a31)*B_11_21,-1/a41*B_15_2-B_3_22-a11/(a21+a31)*B_7_22+a11/(a21+a31)*B_11_22,-1/a41*B_15_3-B_3_23-a11/(a21+a31)*B_7_23+a11/(a21+a31)*B_11_23,-1/a41*B_15_4-B_3_24-a11/(a21+a31)*B_7_24+a11/(a21+a31)*B_11_24],[-1/a41*B_16_1-B_4_21-a11/(a21+a31)*B_8_21+a11/(a21+a31)*B_12_21,-1/a41*B_16_2-B_4_22-a11/(a21+a31)*B_8_22+a11/(a21+a31)*B_12_22,-1/a41*B_16_3-B_4_23-a11/(a21+a31)*B_8_23+a11/(a21+a31)*B_12_23,-1/a41*B_16_4-B_4_24-a11/(a21+a31)*B_8_24+a11/(a21+a31)*B_12_24]]),Matrix(4, 2, [[-C_21_2,C_1_1-C_21_3],[-C_22_2,C_2_1-C_22_3],[-C_23_2,C_3_1-C_23_3],[-C_24_2,C_4_1-C_24_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_17,A_2_18,A_2_19,A_2_20],[A_1_1*a11-A_1_13*a41+A_1_17*a51-A_1_5*a21+A_1_9*a31+A_3_17,A_1_10*a31-A_1_14*a41+A_1_18*a51+A_1_2*a11-A_1_6*a21+A_3_18,A_1_11*a31-A_1_15*a41+A_1_19*a51+A_1_3*a11-A_1_7*a21+A_3_19,A_1_12*a31-A_1_16*a41+A_1_20*a51+A_1_4*a11-A_1_8*a21+A_3_20]]),Matrix(4, 4, [[-1/a11*B_1_13+1/(a21+a11)*B_1_17-1/(a21+a11)*B_5_17-(a41+a51)/(a21+a31)*B_5_21+(a41+a51)/(a21+a31)*B_9_21+B_13_21-B_17_21,-1/a11*B_1_14+1/(a21+a11)*B_1_18-1/(a21+a11)*B_5_18-(a41+a51)/(a21+a31)*B_5_22+(a41+a51)/(a21+a31)*B_9_22+B_13_22-B_17_22,-1/a11*B_1_15+1/(a21+a11)*B_1_19-1/(a21+a11)*B_5_19-(a41+a51)/(a21+a31)*B_5_23+(a41+a51)/(a21+a31)*B_9_23+B_13_23-B_17_23,-1/a11*B_1_16+1/(a21+a11)*B_1_20-1/(a21+a11)*B_5_20-(a41+a51)/(a21+a31)*B_5_24+(a41+a51)/(a21+a31)*B_9_24+B_13_24-B_17_24],[-1/a11*B_2_13+1/(a21+a11)*B_2_17-1/(a21+a11)*B_6_17-(a41+a51)/(a21+a31)*B_6_21+(a41+a51)/(a21+a31)*B_10_21+B_14_21-B_18_21,-1/a11*B_2_14+1/(a21+a11)*B_2_18-1/(a21+a11)*B_6_18-(a41+a51)/(a21+a31)*B_6_22+(a41+a51)/(a21+a31)*B_10_22+B_14_22-B_18_22,-1/a11*B_2_15+1/(a21+a11)*B_2_19-1/(a21+a11)*B_6_19-(a41+a51)/(a21+a31)*B_6_23+(a41+a51)/(a21+a31)*B_10_23+B_14_23-B_18_23,-1/a11*B_2_16+1/(a21+a11)*B_2_20-1/(a21+a11)*B_6_20-(a41+a51)/(a21+a31)*B_6_24+(a41+a51)/(a21+a31)*B_10_24+B_14_24-B_18_24],[-1/a11*B_3_13+1/(a21+a11)*B_3_17-1/(a21+a11)*B_7_17-(a41+a51)/(a21+a31)*B_7_21+(a41+a51)/(a21+a31)*B_11_21+B_15_21-B_19_21,-1/a11*B_3_14+1/(a21+a11)*B_3_18-1/(a21+a11)*B_7_18-(a41+a51)/(a21+a31)*B_7_22+(a41+a51)/(a21+a31)*B_11_22+B_15_22-B_19_22,-1/a11*B_3_15+1/(a21+a11)*B_3_19-1/(a21+a11)*B_7_19-(a41+a51)/(a21+a31)*B_7_23+(a41+a51)/(a21+a31)*B_11_23+B_15_23-B_19_23,-1/a11*B_3_16+1/(a21+a11)*B_3_20-1/(a21+a11)*B_7_20-(a41+a51)/(a21+a31)*B_7_24+(a41+a51)/(a21+a31)*B_11_24+B_15_24-B_19_24],[-1/a11*B_4_13+1/(a21+a11)*B_4_17-1/(a21+a11)*B_8_17-(a41+a51)/(a21+a31)*B_8_21+(a41+a51)/(a21+a31)*B_12_21+B_16_21-B_20_21,-1/a11*B_4_14+1/(a21+a11)*B_4_18-1/(a21+a11)*B_8_18-(a41+a51)/(a21+a31)*B_8_22+(a41+a51)/(a21+a31)*B_12_22+B_16_22-B_20_22,-1/a11*B_4_15+1/(a21+a11)*B_4_19-1/(a21+a11)*B_8_19-(a41+a51)/(a21+a31)*B_8_23+(a41+a51)/(a21+a31)*B_12_23+B_16_23-B_20_23,-1/a11*B_4_16+1/(a21+a11)*B_4_20-1/(a21+a11)*B_8_20-(a41+a51)/(a21+a31)*B_8_24+(a41+a51)/(a21+a31)*B_12_24+B_16_24-B_20_24]]),Matrix(4, 2, [[-C_21_2,C_17_1-C_21_3],[-C_22_2,C_18_1-C_22_3],[-C_23_2,C_19_1-C_23_3],[-C_24_2,C_20_1-C_24_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_1*a11+A_2_13*a41-A_2_17*a51+A_2_5*a21-A_2_9*a31,-A_2_10*a31+A_2_14*a41-A_2_18*a51-A_2_2*a11+A_2_6*a21,-A_2_11*a31+A_2_15*a41-A_2_19*a51-A_2_3*a11+A_2_7*a21,-A_2_12*a31+A_2_16*a41-A_2_20*a51-A_2_4*a11+A_2_8*a21],[A_1_1*a11-A_1_13*a41+A_1_17*a51-A_1_5*a21+A_1_9*a31-A_3_1*a11+A_3_13*a41-A_3_17*a51+A_3_5*a21-A_3_9*a31,A_1_10*a31-A_1_14*a41+A_1_18*a51+A_1_2*a11-A_1_6*a21-A_3_10*a31+A_3_14*a41-A_3_18*a51-A_3_2*a11+A_3_6*a21,A_1_11*a31-A_1_15*a41+A_1_19*a51+A_1_3*a11-A_1_7*a21-A_3_11*a31+A_3_15*a41-A_3_19*a51-A_3_3*a11+A_3_7*a21,A_1_12*a31-A_1_16*a41+A_1_20*a51+A_1_4*a11-A_1_8*a21-A_3_12*a31+A_3_16*a41-A_3_20*a51-A_3_4*a11+A_3_8*a21]]),Matrix(4, 4, [[-1/a41*B_13_1-1/a11*B_1_13+1/(a21+a11)*B_1_17-1/(a21+a11)*B_5_17-(a31-a41-1)/(a21+a31)*B_5_21-(a21+a41+1)/(a21+a31)*B_9_21-B_13_21,-1/a41*B_13_2-1/a11*B_1_14+1/(a21+a11)*B_1_18-1/(a21+a11)*B_5_18-(a31-a41-1)/(a21+a31)*B_5_22-(a21+a41+1)/(a21+a31)*B_9_22-B_13_22,-1/a41*B_13_3-1/a11*B_1_15+1/(a21+a11)*B_1_19-1/(a21+a11)*B_5_19-(a31-a41-1)/(a21+a31)*B_5_23-(a21+a41+1)/(a21+a31)*B_9_23-B_13_23,-1/a41*B_13_4-1/a11*B_1_16+1/(a21+a11)*B_1_20-1/(a21+a11)*B_5_20-(a31-a41-1)/(a21+a31)*B_5_24-(a21+a41+1)/(a21+a31)*B_9_24-B_13_24],[-1/a41*B_14_1-1/a11*B_2_13+1/(a21+a11)*B_2_17-1/(a21+a11)*B_6_17-(a31-a41-1)/(a21+a31)*B_6_21-(a21+a41+1)/(a21+a31)*B_10_21-B_14_21,-1/a41*B_14_2-1/a11*B_2_14+1/(a21+a11)*B_2_18-1/(a21+a11)*B_6_18-(a31-a41-1)/(a21+a31)*B_6_22-(a21+a41+1)/(a21+a31)*B_10_22-B_14_22,-1/a41*B_14_3-1/a11*B_2_15+1/(a21+a11)*B_2_19-1/(a21+a11)*B_6_19-(a31-a41-1)/(a21+a31)*B_6_23-(a21+a41+1)/(a21+a31)*B_10_23-B_14_23,-1/a41*B_14_4-1/a11*B_2_16+1/(a21+a11)*B_2_20-1/(a21+a11)*B_6_20-(a31-a41-1)/(a21+a31)*B_6_24-(a21+a41+1)/(a21+a31)*B_10_24-B_14_24],[-1/a41*B_15_1-1/a11*B_3_13+1/(a21+a11)*B_3_17-1/(a21+a11)*B_7_17-(a31-a41-1)/(a21+a31)*B_7_21-(a21+a41+1)/(a21+a31)*B_11_21-B_15_21,-1/a41*B_15_2-1/a11*B_3_14+1/(a21+a11)*B_3_18-1/(a21+a11)*B_7_18-(a31-a41-1)/(a21+a31)*B_7_22-(a21+a41+1)/(a21+a31)*B_11_22-B_15_22,-1/a41*B_15_3-1/a11*B_3_15+1/(a21+a11)*B_3_19-1/(a21+a11)*B_7_19-(a31-a41-1)/(a21+a31)*B_7_23-(a21+a41+1)/(a21+a31)*B_11_23-B_15_23,-1/a41*B_15_4-1/a11*B_3_16+1/(a21+a11)*B_3_20-1/(a21+a11)*B_7_20-(a31-a41-1)/(a21+a31)*B_7_24-(a21+a41+1)/(a21+a31)*B_11_24-B_15_24],[-1/a41*B_16_1-1/a11*B_4_13+1/(a21+a11)*B_4_17-1/(a21+a11)*B_8_17-(a31-a41-1)/(a21+a31)*B_8_21-(a21+a41+1)/(a21+a31)*B_12_21-B_16_21,-1/a41*B_16_2-1/a11*B_4_14+1/(a21+a11)*B_4_18-1/(a21+a11)*B_8_18-(a31-a41-1)/(a21+a31)*B_8_22-(a21+a41+1)/(a21+a31)*B_12_22-B_16_22,-1/a41*B_16_3-1/a11*B_4_15+1/(a21+a11)*B_4_19-1/(a21+a11)*B_8_19-(a31-a41-1)/(a21+a31)*B_8_23-(a21+a41+1)/(a21+a31)*B_12_23-B_16_23,-1/a41*B_16_4-1/a11*B_4_16+1/(a21+a11)*B_4_20-1/(a21+a11)*B_8_20-(a31-a41-1)/(a21+a31)*B_8_24-(a21+a41+1)/(a21+a31)*B_12_24-B_16_24]]),Matrix(4, 2, [[C_21_2,C_21_3],[C_22_2,C_22_3],[C_23_2,C_23_3],[C_24_2,C_24_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_1*a11+A_2_5*a21-A_2_9*a31+(a41+1)*A_2_13+(-a51+1)*A_2_17,-A_2_10*a31-A_2_2*a11+A_2_6*a21+(a41+1)*A_2_14+(-a51+1)*A_2_18,-A_2_11*a31-A_2_3*a11+A_2_7*a21+(a41+1)*A_2_15+(-a51+1)*A_2_19,-A_2_12*a31-A_2_4*a11+A_2_8*a21+(a41+1)*A_2_16+(-a51+1)*A_2_20],[A_1_1*a11-A_1_13*a41-A_1_5*a21+A_1_9*a31-A_3_1*a11+A_3_5*a21-A_3_9*a31+(a41+1)*A_3_13+A_1_17*a51+(-a51+1)*A_3_17,A_1_10*a31-A_1_14*a41+A_1_2*a11-A_1_6*a21-A_3_10*a31-A_3_2*a11+A_3_6*a21+(a41+1)*A_3_14+A_1_18*a51+(-a51+1)*A_3_18,A_1_11*a31-A_1_15*a41+A_1_3*a11-A_1_7*a21-A_3_11*a31-A_3_3*a11+A_3_7*a21+(a41+1)*A_3_15+A_1_19*a51+(-a51+1)*A_3_19,A_1_12*a31-A_1_16*a41+A_1_4*a11-A_1_8*a21-A_3_12*a31-A_3_4*a11+A_3_8*a21+(a41+1)*A_3_16+A_1_20*a51+(-a51+1)*A_3_20]]),Matrix(4, 4, [[1/a11*B_1_13+a41/(a21+a31)*B_5_21-a41/(a21+a31)*B_9_21-B_13_21,1/a11*B_1_14+a41/(a21+a31)*B_5_22-a41/(a21+a31)*B_9_22-B_13_22,1/a11*B_1_15+a41/(a21+a31)*B_5_23-a41/(a21+a31)*B_9_23-B_13_23,1/a11*B_1_16+a41/(a21+a31)*B_5_24-a41/(a21+a31)*B_9_24-B_13_24],[1/a11*B_2_13+a41/(a21+a31)*B_6_21-a41/(a21+a31)*B_10_21-B_14_21,1/a11*B_2_14+a41/(a21+a31)*B_6_22-a41/(a21+a31)*B_10_22-B_14_22,1/a11*B_2_15+a41/(a21+a31)*B_6_23-a41/(a21+a31)*B_10_23-B_14_23,1/a11*B_2_16+a41/(a21+a31)*B_6_24-a41/(a21+a31)*B_10_24-B_14_24],[1/a11*B_3_13+a41/(a21+a31)*B_7_21-a41/(a21+a31)*B_11_21-B_15_21,1/a11*B_3_14+a41/(a21+a31)*B_7_22-a41/(a21+a31)*B_11_22-B_15_22,1/a11*B_3_15+a41/(a21+a31)*B_7_23-a41/(a21+a31)*B_11_23-B_15_23,1/a11*B_3_16+a41/(a21+a31)*B_7_24-a41/(a21+a31)*B_11_24-B_15_24],[1/a11*B_4_13+a41/(a21+a31)*B_8_21-a41/(a21+a31)*B_12_21-B_16_21,1/a11*B_4_14+a41/(a21+a31)*B_8_22-a41/(a21+a31)*B_12_22-B_16_22,1/a11*B_4_15+a41/(a21+a31)*B_8_23-a41/(a21+a31)*B_12_23-B_16_23,1/a11*B_4_16+a41/(a21+a31)*B_8_24-a41/(a21+a31)*B_12_24-B_16_24]]),Matrix(4, 2, [[-C_21_2,C_13_1+C_17_1-C_21_1-C_21_3],[-C_22_2,C_14_1+C_18_1-C_22_1-C_22_3],[-C_23_2,C_15_1+C_19_1-C_23_1-C_23_3],[-C_24_2,C_16_1+C_20_1-C_24_1-C_24_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_1*a11+(a21+1)*A_2_5+(-a31+1)*A_2_9+A_2_13*a41-A_2_17*a51,-A_2_2*a11+(a21+1)*A_2_6+(-a31+1)*A_2_10+A_2_14*a41-A_2_18*a51,-A_2_3*a11+(a21+1)*A_2_7+(-a31+1)*A_2_11+A_2_15*a41-A_2_19*a51,-A_2_4*a11+(a21+1)*A_2_8+(-a31+1)*A_2_12+A_2_16*a41-A_2_20*a51],[A_1_1*a11-A_1_5*a21-A_3_1*a11+(a21+1)*A_3_5+A_1_9*a31+(-a31+1)*A_3_9-A_1_13*a41+A_3_13*a41+A_1_17*a51-A_3_17*a51,A_1_2*a11-A_1_6*a21-A_3_2*a11+(a21+1)*A_3_6+A_1_10*a31+(-a31+1)*A_3_10-A_1_14*a41+A_3_14*a41+A_1_18*a51-A_3_18*a51,A_1_3*a11-A_1_7*a21-A_3_3*a11+(a21+1)*A_3_7+A_1_11*a31+(-a31+1)*A_3_11-A_1_15*a41+A_3_15*a41+A_1_19*a51-A_3_19*a51,A_1_4*a11-A_1_8*a21-A_3_4*a11+(a21+1)*A_3_8+A_1_12*a31+(-a31+1)*A_3_12-A_1_16*a41+A_3_16*a41+A_1_20*a51-A_3_20*a51]]),Matrix(4, 4, [[-1/a41*B_13_1-1/a51*B_17_1+1/a51*B_17_5-a31/(a21+a31)*B_5_21-1/(a21+a31)*a21*B_9_21,-1/a41*B_13_2-1/a51*B_17_2+1/a51*B_17_6-a31/(a21+a31)*B_5_22-1/(a21+a31)*a21*B_9_22,-1/a41*B_13_3-1/a51*B_17_3+1/a51*B_17_7-a31/(a21+a31)*B_5_23-1/(a21+a31)*a21*B_9_23,-1/a41*B_13_4-1/a51*B_17_4+1/a51*B_17_8-a31/(a21+a31)*B_5_24-1/(a21+a31)*a21*B_9_24],[-1/a41*B_14_1-1/a51*B_18_1+1/a51*B_18_5-a31/(a21+a31)*B_6_21-1/(a21+a31)*a21*B_10_21,-1/a41*B_14_2-1/a51*B_18_2+1/a51*B_18_6-a31/(a21+a31)*B_6_22-1/(a21+a31)*a21*B_10_22,-1/a41*B_14_3-1/a51*B_18_3+1/a51*B_18_7-a31/(a21+a31)*B_6_23-1/(a21+a31)*a21*B_10_23,-1/a41*B_14_4-1/a51*B_18_4+1/a51*B_18_8-a31/(a21+a31)*B_6_24-1/(a21+a31)*a21*B_10_24],[-1/a41*B_15_1-1/a51*B_19_1+1/a51*B_19_5-a31/(a21+a31)*B_7_21-1/(a21+a31)*a21*B_11_21,-1/a41*B_15_2-1/a51*B_19_2+1/a51*B_19_6-a31/(a21+a31)*B_7_22-1/(a21+a31)*a21*B_11_22,-1/a41*B_15_3-1/a51*B_19_3+1/a51*B_19_7-a31/(a21+a31)*B_7_23-1/(a21+a31)*a21*B_11_23,-1/a41*B_15_4-1/a51*B_19_4+1/a51*B_19_8-a31/(a21+a31)*B_7_24-1/(a21+a31)*a21*B_11_24],[-1/a41*B_16_1-1/a51*B_20_1+1/a51*B_20_5-a31/(a21+a31)*B_8_21-1/(a21+a31)*a21*B_12_21,-1/a41*B_16_2-1/a51*B_20_2+1/a51*B_20_6-a31/(a21+a31)*B_8_22-1/(a21+a31)*a21*B_12_22,-1/a41*B_16_3-1/a51*B_20_3+1/a51*B_20_7-a31/(a21+a31)*B_8_23-1/(a21+a31)*a21*B_12_23,-1/a41*B_16_4-1/a51*B_20_4+1/a51*B_20_8-a31/(a21+a31)*B_8_24-1/(a21+a31)*a21*B_12_24]]),Matrix(4, 2, [[-C_21_2,C_5_1+C_9_1-C_21_1-C_21_3],[-C_22_2,C_6_1+C_10_1-C_22_1-C_22_3],[-C_23_2,C_11_1+C_7_1-C_23_1-C_23_3],[-C_24_2,C_8_1+C_12_1-C_24_1-C_24_3]])))+Trace(Mul(Matrix(1, 4, [[-A_1_1-A_1_5+A_1_9,-A_1_2-A_1_6+A_1_10,-A_1_3-A_1_7+A_1_11,-A_1_4-A_1_8+A_1_12]]),Matrix(4, 4, [[B_9_1+a31/a41*B_13_1,B_9_2+a31/a41*B_13_2,B_9_3+a31/a41*B_13_3,B_9_4+a31/a41*B_13_4],[B_10_1+a31/a41*B_14_1,B_10_2+a31/a41*B_14_2,B_10_3+a31/a41*B_14_3,B_10_4+a31/a41*B_14_4],[B_11_1+a31/a41*B_15_1,B_11_2+a31/a41*B_15_2,B_11_3+a31/a41*B_15_3,B_11_4+a31/a41*B_15_4],[B_12_1+a31/a41*B_16_1,B_12_2+a31/a41*B_16_2,B_12_3+a31/a41*B_16_3,B_12_4+a31/a41*B_16_4]]),Matrix(4, 1, [[C_1_1+C_5_1-C_9_1+C_1_3+C_5_3-C_9_3],[C_2_1+C_6_1-C_10_1+C_2_3+C_6_3-C_10_3],[C_3_1+C_7_1-C_11_1+C_3_3+C_7_3-C_11_3],[C_4_1+C_8_1-C_12_1+C_4_3+C_8_3-C_12_3]])))+Trace(Mul(Matrix(1, 4, [[-A_1_1-A_1_5+A_1_17,-A_1_2-A_1_6+A_1_18,-A_1_3-A_1_7+A_1_19,-A_1_4-A_1_8+A_1_20]]),Matrix(4, 4, [[a51/a41*B_13_1+B_17_1,a51/a41*B_13_2+B_17_2,a51/a41*B_13_3+B_17_3,a51/a41*B_13_4+B_17_4],[a51/a41*B_14_1+B_18_1,a51/a41*B_14_2+B_18_2,a51/a41*B_14_3+B_18_3,a51/a41*B_14_4+B_18_4],[a51/a41*B_15_1+B_19_1,a51/a41*B_15_2+B_19_2,a51/a41*B_15_3+B_19_3,a51/a41*B_15_4+B_19_4],[a51/a41*B_16_1+B_20_1,a51/a41*B_16_2+B_20_2,a51/a41*B_16_3+B_20_3,a51/a41*B_16_4+B_20_4]]),Matrix(4, 1, [[C_1_1+C_5_1-C_17_1+C_1_3+C_5_3-C_17_3],[C_2_1+C_6_1-C_18_1+C_2_3+C_6_3-C_18_3],[C_3_1+C_7_1-C_19_1+C_3_3+C_7_3-C_19_3],[C_4_1+C_8_1-C_20_1+C_4_3+C_8_3-C_20_3]])))+Trace(Mul(Matrix(2, 4, [[-A_2_5-A_2_9+A_2_13,-A_2_6-A_2_10+A_2_14,-A_2_7-A_2_11+A_2_15,-A_2_8-A_2_12+A_2_16],[-A_3_5-A_3_9+A_3_13,-A_3_6-A_3_10+A_3_14,-A_3_7-A_3_11+A_3_15,-A_3_8-A_3_12+A_3_16]]),Matrix(4, 4, [[-B_13_1-a41/a51*B_17_1+B_13_5+a41/a51*B_17_5,-B_13_2-a41/a51*B_17_2+B_13_6+a41/a51*B_17_6,-B_13_3-a41/a51*B_17_3+B_13_7+a41/a51*B_17_7,-B_13_4-a41/a51*B_17_4+B_13_8+a41/a51*B_17_8],[-B_14_1-a41/a51*B_18_1+B_14_5+a41/a51*B_18_5,-B_14_2-a41/a51*B_18_2+B_14_6+a41/a51*B_18_6,-B_14_3-a41/a51*B_18_3+B_14_7+a41/a51*B_18_7,-B_14_4-a41/a51*B_18_4+B_14_8+a41/a51*B_18_8],[-B_15_1-a41/a51*B_19_1+B_15_5+a41/a51*B_19_5,-B_15_2-a41/a51*B_19_2+B_15_6+a41/a51*B_19_6,-B_15_3-a41/a51*B_19_3+B_15_7+a41/a51*B_19_7,-B_15_4-a41/a51*B_19_4+B_15_8+a41/a51*B_19_8],[-B_16_1-a41/a51*B_20_1+B_16_5+a41/a51*B_20_5,-B_16_2-a41/a51*B_20_2+B_16_6+a41/a51*B_20_6,-B_16_3-a41/a51*B_20_3+B_16_7+a41/a51*B_20_7,-B_16_4-a41/a51*B_20_4+B_16_8+a41/a51*B_20_8]]),Matrix(4, 2, [[C_5_2+C_9_2-C_13_2,C_5_1+C_9_1-C_13_1+C_5_3+C_9_3-C_13_3],[C_6_2+C_10_2-C_14_2,C_6_1+C_10_1-C_14_1+C_6_3+C_10_3-C_14_3],[C_7_2+C_11_2-C_15_2,C_11_1+C_7_1-C_15_1+C_7_3+C_11_3-C_15_3],[C_8_2+C_12_2-C_16_2,C_8_1+C_12_1-C_16_1+C_8_3+C_12_3-C_16_3]])))+Trace(Mul(Matrix(1, 4, [[-A_1_9-A_1_13+A_1_17,-A_1_10-A_1_14+A_1_18,-A_1_11-A_1_15+A_1_19,-A_1_12-A_1_16+A_1_20]]),Matrix(4, 4, [[a51/a41*B_13_1+B_17_1-B_17_5+B_17_9,a51/a41*B_13_2+B_17_2-B_17_6+B_17_10,a51/a41*B_13_3+B_17_3-B_17_7+B_17_11,a51/a41*B_13_4+B_17_4-B_17_8+B_17_12],[a51/a41*B_14_1+B_18_1-B_18_5+B_18_9,a51/a41*B_14_2+B_18_2-B_18_6+B_18_10,a51/a41*B_14_3+B_18_3-B_18_7+B_18_11,a51/a41*B_14_4+B_18_4-B_18_8+B_18_12],[a51/a41*B_15_1+B_19_1-B_19_5+B_19_9,a51/a41*B_15_2+B_19_2-B_19_6+B_19_10,a51/a41*B_15_3+B_19_3-B_19_7+B_19_11,a51/a41*B_15_4+B_19_4-B_19_8+B_19_12],[a51/a41*B_16_1+B_20_1-B_20_5+B_20_9,a51/a41*B_16_2+B_20_2-B_20_6+B_20_10,a51/a41*B_16_3+B_20_3-B_20_7+B_20_11,a51/a41*B_16_4+B_20_4-B_20_8+B_20_12]]),Matrix(4, 1, [[C_9_1+C_13_1-C_17_1+C_9_3+C_13_3-C_17_3],[C_10_1+C_14_1-C_18_1+C_10_3+C_14_3-C_18_3],[C_11_1+C_15_1-C_19_1+C_11_3+C_15_3-C_19_3],[C_12_1+C_16_1-C_20_1+C_12_3+C_16_3-C_20_3]])))+Trace(Mul(Matrix(1, 4, [[-A_1_5+A_3_5-A_1_9+A_3_9+A_1_13-A_3_13,-A_1_6+A_3_6-A_1_10+A_3_10+A_1_14-A_3_14,-A_1_7+A_3_7-A_1_11+A_3_11+A_1_15-A_3_15,-A_1_8+A_3_8-A_1_12+A_3_12+A_1_16-A_3_16]]),Matrix(4, 4, [[a21/a11*B_1_13+B_5_13,a21/a11*B_1_14+B_5_14,a21/a11*B_1_15+B_5_15,a21/a11*B_1_16+B_5_16],[a21/a11*B_2_13+B_6_13,a21/a11*B_2_14+B_6_14,a21/a11*B_2_15+B_6_15,a21/a11*B_2_16+B_6_16],[a21/a11*B_3_13+B_7_13,a21/a11*B_3_14+B_7_14,a21/a11*B_3_15+B_7_15,a21/a11*B_3_16+B_7_16],[a21/a11*B_4_13+B_8_13,a21/a11*B_4_14+B_8_14,a21/a11*B_4_15+B_8_15,a21/a11*B_4_16+B_8_16]]),Matrix(4, 1, [[C_5_1+C_9_1-C_13_1],[C_6_1+C_10_1-C_14_1],[C_11_1+C_7_1-C_15_1],[C_8_1+C_12_1-C_16_1]])))+Trace(Mul(Matrix(2, 4, [[A_2_1-a21/a11*A_2_5+1/a11*a31*A_2_9-1/a11*(a41+1)*A_2_13-1/a11*(-a51+1)*A_2_17,A_2_2-a21/a11*A_2_6+1/a11*a31*A_2_10-1/a11*(a41+1)*A_2_14-1/a11*(-a51+1)*A_2_18,A_2_3-a21/a11*A_2_7+1/a11*a31*A_2_11-1/a11*(a41+1)*A_2_15-1/a11*(-a51+1)*A_2_19,A_2_4-a21/a11*A_2_8+1/a11*a31*A_2_12-1/a11*(a41+1)*A_2_16-1/a11*(-a51+1)*A_2_20],[A_3_1-a21/a11*A_3_5+1/a11*a31*A_3_9-1/a11*(a41+1)*A_3_13-1/a11*(-a51+1)*A_3_17,A_3_2-a21/a11*A_3_6+1/a11*a31*A_3_10-1/a11*(a41+1)*A_3_14-1/a11*(-a51+1)*A_3_18,A_3_3-a21/a11*A_3_7+1/a11*a31*A_3_11-1/a11*(a41+1)*A_3_15-1/a11*(-a51+1)*A_3_19,A_3_4-a21/a11*A_3_8+1/a11*a31*A_3_12-1/a11*(a41+1)*A_3_16-1/a11*(-a51+1)*A_3_20]]),Matrix(4, 4, [[B_1_13,B_1_14,B_1_15,B_1_16],[B_2_13,B_2_14,B_2_15,B_2_16],[B_3_13,B_3_14,B_3_15,B_3_16],[B_4_13,B_4_14,B_4_15,B_4_16]]),Matrix(4, 2, [[C_13_2+C_17_2-C_21_2,C_13_1+C_17_1-C_21_1+C_13_3+C_17_3-C_21_3],[C_14_2+C_18_2-C_22_2,C_14_1+C_18_1-C_22_1+C_14_3+C_18_3-C_22_3],[C_15_2+C_19_2-C_23_2,C_15_1+C_19_1-C_23_1+C_15_3+C_19_3-C_23_3],[C_16_2+C_20_2-C_24_2,C_16_1+C_20_1-C_24_1+C_16_3+C_20_3-C_24_3]])))+Trace(Mul(Matrix(2, 4, [[A_2_1*a11+(-a21-1)*A_2_5+(a31-1)*A_2_9-A_2_13*a41+A_2_17*a51,A_2_2*a11+(-a21-1)*A_2_6+(a31-1)*A_2_10-A_2_14*a41+A_2_18*a51,A_2_3*a11+(-a21-1)*A_2_7+(a31-1)*A_2_11-A_2_15*a41+A_2_19*a51,A_2_4*a11+(-a21-1)*A_2_8+(a31-1)*A_2_12-A_2_16*a41+A_2_20*a51],[A_3_1*a11+(-a21-1)*A_3_5+(a31-1)*A_3_9-A_3_13*a41+A_3_17*a51,A_3_2*a11+(-a21-1)*A_3_6+(a31-1)*A_3_10-A_3_14*a41+A_3_18*a51,A_3_3*a11+(-a21-1)*A_3_7+(a31-1)*A_3_11-A_3_15*a41+A_3_19*a51,A_3_4*a11+(-a21-1)*A_3_8+(a31-1)*A_3_12-A_3_16*a41+A_3_20*a51]]),Matrix(4, 4, [[-1/a41*B_13_1-1/a51*B_17_1+1/a51*B_17_5,-1/a41*B_13_2-1/a51*B_17_2+1/a51*B_17_6,-1/a41*B_13_3-1/a51*B_17_3+1/a51*B_17_7,-1/a41*B_13_4-1/a51*B_17_4+1/a51*B_17_8],[-1/a41*B_14_1-1/a51*B_18_1+1/a51*B_18_5,-1/a41*B_14_2-1/a51*B_18_2+1/a51*B_18_6,-1/a41*B_14_3-1/a51*B_18_3+1/a51*B_18_7,-1/a41*B_14_4-1/a51*B_18_4+1/a51*B_18_8],[-1/a41*B_15_1-1/a51*B_19_1+1/a51*B_19_5,-1/a41*B_15_2-1/a51*B_19_2+1/a51*B_19_6,-1/a41*B_15_3-1/a51*B_19_3+1/a51*B_19_7,-1/a41*B_15_4-1/a51*B_19_4+1/a51*B_19_8],[-1/a41*B_16_1-1/a51*B_20_1+1/a51*B_20_5,-1/a41*B_16_2-1/a51*B_20_2+1/a51*B_20_6,-1/a41*B_16_3-1/a51*B_20_3+1/a51*B_20_7,-1/a41*B_16_4-1/a51*B_20_4+1/a51*B_20_8]]),Matrix(4, 2, [[C_5_2+C_9_2-C_21_2,C_5_1+C_9_1-C_21_1+C_5_3+C_9_3-C_21_3],[C_6_2+C_10_2-C_22_2,C_6_1+C_10_1-C_22_1+C_6_3+C_10_3-C_22_3],[C_7_2+C_11_2-C_23_2,C_11_1+C_7_1-C_23_1+C_7_3+C_11_3-C_23_3],[C_8_2+C_12_2-C_24_2,C_8_1+C_12_1-C_24_1+C_8_3+C_12_3-C_24_3]])))+Trace(Mul(Matrix(1, 4, [[A_1_1*a11-A_1_5*a21+A_1_9*a31-A_3_1*a11+A_3_5*a21-A_3_9*a31+(-a41-1)*A_1_13+(a41+1)*A_3_13+(a51-1)*A_1_17+(-a51+1)*A_3_17,A_1_10*a31+A_1_2*a11-A_1_6*a21-A_3_10*a31-A_3_2*a11+A_3_6*a21+(-a41-1)*A_1_14+(a41+1)*A_3_14+(a51-1)*A_1_18+(-a51+1)*A_3_18,A_1_11*a31+A_1_3*a11-A_1_7*a21-A_3_11*a31-A_3_3*a11+A_3_7*a21+(-a41-1)*A_1_15+(a41+1)*A_3_15+(a51-1)*A_1_19+(-a51+1)*A_3_19,A_1_12*a31+A_1_4*a11-A_1_8*a21-A_3_12*a31-A_3_4*a11+A_3_8*a21+(-a41-1)*A_1_16+(a41+1)*A_3_16+(a51-1)*A_1_20+(-a51+1)*A_3_20]]),Matrix(4, 4, [[-a41/(a21+a31)*B_5_21+a41/(a21+a31)*B_9_21+B_13_21,-a41/(a21+a31)*B_5_22+a41/(a21+a31)*B_9_22+B_13_22,-a41/(a21+a31)*B_5_23+a41/(a21+a31)*B_9_23+B_13_23,-a41/(a21+a31)*B_5_24+a41/(a21+a31)*B_9_24+B_13_24],[-a41/(a21+a31)*B_6_21+a41/(a21+a31)*B_10_21+B_14_21,-a41/(a21+a31)*B_6_22+a41/(a21+a31)*B_10_22+B_14_22,-a41/(a21+a31)*B_6_23+a41/(a21+a31)*B_10_23+B_14_23,-a41/(a21+a31)*B_6_24+a41/(a21+a31)*B_10_24+B_14_24],[-a41/(a21+a31)*B_7_21+a41/(a21+a31)*B_11_21+B_15_21,-a41/(a21+a31)*B_7_22+a41/(a21+a31)*B_11_22+B_15_22,-a41/(a21+a31)*B_7_23+a41/(a21+a31)*B_11_23+B_15_23,-a41/(a21+a31)*B_7_24+a41/(a21+a31)*B_11_24+B_15_24],[-a41/(a21+a31)*B_8_21+a41/(a21+a31)*B_12_21+B_16_21,-a41/(a21+a31)*B_8_22+a41/(a21+a31)*B_12_22+B_16_22,-a41/(a21+a31)*B_8_23+a41/(a21+a31)*B_12_23+B_16_23,-a41/(a21+a31)*B_8_24+a41/(a21+a31)*B_12_24+B_16_24]]),Matrix(4, 1, [[C_13_1+C_17_1-C_21_1],[C_14_1+C_18_1-C_22_1],[C_15_1+C_19_1-C_23_1],[C_16_1+C_20_1-C_24_1]])))+Trace(Mul(Matrix(1, 4, [[A_1_1*a11-A_3_1*a11+(-a21-1)*A_1_5+(a21+1)*A_3_5+(a31-1)*A_1_9+(-a31+1)*A_3_9-A_1_13*a41+A_3_13*a41+A_1_17*a51-A_3_17*a51,A_1_2*a11-A_3_2*a11+(-a21-1)*A_1_6+(a21+1)*A_3_6+(a31-1)*A_1_10+(-a31+1)*A_3_10-A_1_14*a41+A_3_14*a41+A_1_18*a51-A_3_18*a51,A_1_3*a11-A_3_3*a11+(-a21-1)*A_1_7+(a21+1)*A_3_7+(a31-1)*A_1_11+(-a31+1)*A_3_11-A_1_15*a41+A_3_15*a41+A_1_19*a51-A_3_19*a51,A_1_4*a11-A_3_4*a11+(-a21-1)*A_1_8+(a21+1)*A_3_8+(a31-1)*A_1_12+(-a31+1)*A_3_12-A_1_16*a41+A_3_16*a41+A_1_20*a51-A_3_20*a51]]),Matrix(4, 4, [[a31/(a21+a31)*B_5_21+1/(a21+a31)*a21*B_9_21,a31/(a21+a31)*B_5_22+1/(a21+a31)*a21*B_9_22,a31/(a21+a31)*B_5_23+1/(a21+a31)*a21*B_9_23,a31/(a21+a31)*B_5_24+1/(a21+a31)*a21*B_9_24],[a31/(a21+a31)*B_6_21+1/(a21+a31)*a21*B_10_21,a31/(a21+a31)*B_6_22+1/(a21+a31)*a21*B_10_22,a31/(a21+a31)*B_6_23+1/(a21+a31)*a21*B_10_23,a31/(a21+a31)*B_6_24+1/(a21+a31)*a21*B_10_24],[a31/(a21+a31)*B_7_21+1/(a21+a31)*a21*B_11_21,a31/(a21+a31)*B_7_22+1/(a21+a31)*a21*B_11_22,a31/(a21+a31)*B_7_23+1/(a21+a31)*a21*B_11_23,a31/(a21+a31)*B_7_24+1/(a21+a31)*a21*B_11_24],[a31/(a21+a31)*B_8_21+1/(a21+a31)*a21*B_12_21,a31/(a21+a31)*B_8_22+1/(a21+a31)*a21*B_12_22,a31/(a21+a31)*B_8_23+1/(a21+a31)*a21*B_12_23,a31/(a21+a31)*B_8_24+1/(a21+a31)*a21*B_12_24]]),Matrix(4, 1, [[C_5_1+C_9_1-C_21_1],[C_6_1+C_10_1-C_22_1],[C_11_1+C_7_1-C_23_1],[C_8_1+C_12_1-C_24_1]])))

N.B.: for any matrices A, B and C such that the expression Tr(Mul(A,B,C)) is defined, one can construct several trilinear homogeneous polynomials P(A,B,C) such that P(A,B,C)=Tr(Mul(A,B,C)) (P(A,B,C) variables are A,B and C's coefficients). Each trilinear P expression encodes a matrix multiplication algorithm: the coefficient in C_i_j of P(A,B,C) is the (i,j)-th entry of the matrix product Mul(A,B)=Transpose(C).

Algorithm description

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.


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