Description of fast matrix multiplication algorithm: ⟨19 × 22 × 26:6425⟩

Algorithm type

[[1, 1, 1]$947,[1, 1, 2]$165,[1, 1, 3]$76,[1, 1, 4]$8,[1, 2, 1]$158,[1, 2, 2]$75,[1, 2, 3]$16,[1, 2, 4]$16,[1, 2, 6]$4,[1, 3, 1]$50,[1, 3, 2]$8,[1, 3, 3]$336,[1, 4, 1]$8,[1, 4, 2]$18,[1, 4, 4]$4,[1, 5, 1]$2,[1, 5, 2]$1,[1, 6, 2]$5,[2, 1, 1]$113,[2, 1, 2]$43,[2, 1, 3]$7,[2, 1, 4]$14,[2, 1, 6]$9,[2, 2, 1]$60,[2, 2, 2]$713,[2, 2, 3]$13,[2, 2, 4]$76,[2, 2, 5]$4,[2, 2, 6]$27,[2, 3, 1]$2,[2, 3, 2]$27,[2, 3, 3]$369,[2, 3, 4]$3,[2, 3, 5]$1,[2, 4, 1]$19,[2, 4, 2]$129,[2, 4, 3]$3,[2, 4, 4]$23,[2, 4, 5]$1,[2, 4, 6]$3,[2, 4, 7]$1,[2, 4, 8]$1,[2, 4, 10]$1,[2, 5, 1]$3,[2, 5, 2]$12,[2, 5, 6]$96,[2, 6, 1]$15,[2, 6, 2]$34,[2, 6, 6]$168,[2, 7, 2]$1,[2, 8, 3]$1,[2, 8, 5]$1,[2, 8, 6]$1,[3, 1, 1]$2,[3, 1, 2]$1,[3, 2, 2]$6,[3, 2, 6]$1,[3, 3, 1]$576,[3, 3, 2]$386,[3, 3, 3]$212,[3, 3, 4]$21,[3, 3, 5]$1,[3, 3, 6]$133,[3, 3, 7]$4,[3, 3, 9]$1,[3, 3, 10]$4,[3, 4, 2]$1,[3, 4, 3]$17,[3, 4, 4]$25,[3, 4, 6]$1,[3, 4, 7]$1,[3, 4, 10]$1,[3, 4, 11]$1,[3, 5, 1]$1,[3, 5, 2]$1,[3, 6, 3]$3,[3, 6, 4]$1,[3, 6, 6]$5,[3, 7, 1]$1,[3, 7, 2]$2,[3, 7, 3]$8,[3, 7, 4]$2,[3, 7, 5]$1,[3, 7, 7]$1,[3, 8, 3]$1,[3, 8, 4]$1,[3, 8, 6]$1,[3, 8, 7]$1,[3, 9, 1]$1,[3, 10, 3]$5,[3, 11, 1]$1,[3, 11, 3]$1,[3, 11, 4]$1,[3, 12, 3]$1,[4, 1, 1]$11,[4, 1, 4]$6,[4, 1, 5]$2,[4, 1, 6]$1,[4, 1, 8]$2,[4, 2, 2]$46,[4, 2, 3]$1,[4, 2, 4]$11,[4, 3, 1]$1,[4, 3, 2]$3,[4, 3, 3]$115,[4, 3, 4]$29,[4, 3, 7]$3,[4, 3, 10]$1,[4, 4, 1]$1,[4, 4, 2]$14,[4, 4, 3]$23,[4, 4, 4]$140,[4, 4, 5]$1,[4, 4, 6]$2,[4, 4, 7]$1,[4, 4, 8]$3,[4, 4, 9]$2,[4, 4, 10]$2,[4, 4, 11]$2,[4, 5, 2]$1,[4, 5, 4]$4,[4, 5, 6]$65,[4, 6, 1]$1,[4, 6, 4]$1,[4, 6, 6]$112,[4, 7, 2]$1,[4, 7, 3]$1,[4, 7, 4]$2,[4, 7, 7]$2,[4, 8, 3]$3,[4, 8, 4]$9,[4, 8, 6]$1,[4, 8, 7]$1,[4, 9, 2]$1,[4, 9, 3]$1,[4, 10, 3]$4,[4, 11, 1]$1,[4, 11, 2]$1,[4, 11, 3]$1,[4, 11, 4]$4,[4, 12, 4]$1,[5, 1, 1]$12,[5, 1, 2]$1,[5, 2, 2]$3,[5, 4, 8]$1,[5, 5, 5]$4,[5, 7, 5]$2,[5, 7, 10]$1,[5, 7, 16]$1,[5, 8, 7]$2,[5, 14, 5]$1,[5, 15, 11]$1,[6, 1, 1]$2,[6, 1, 2]$1,[6, 2, 2]$7,[6, 5, 5]$1,[6, 5, 6]$5,[6, 5, 11]$1,[6, 6, 2]$192,[6, 6, 4]$128,[6, 6, 6]$6,[6, 6, 7]$4,[6, 7, 3]$2,[6, 7, 5]$2,[6, 7, 6]$5,[6, 7, 7]$5,[6, 8, 6]$1,[6, 8, 7]$1,[6, 8, 8]$3,[6, 20, 3]$1,[7, 2, 2]$1,[7, 5, 6]$1,[7, 6, 6]$2,[7, 6, 7]$2,[7, 7, 2]$1,[7, 7, 6]$4,[7, 7, 7]$5,[7, 7, 8]$2,[7, 8, 6]$3,[7, 8, 7]$6,[7, 12, 3]$1,[7, 12, 8]$1,[7, 13, 8]$1,[8, 2, 8]$1,[8, 4, 5]$1,[8, 5, 5]$1,[8, 5, 8]$2,[8, 5, 13]$1,[8, 7, 5]$1,[8, 8, 3]$1,[8, 8, 7]$3,[8, 8, 8]$1,[8, 8, 17]$1,[8, 13, 8]$1,[8, 17, 5]$1,[9, 4, 2]$1,[9, 4, 4]$2,[10, 3, 4]$2,[10, 4, 2]$1,[10, 4, 4]$2,[10, 12, 9]$2,[11, 3, 4]$1,[12, 12, 11]$2,[13, 9, 10]$1,[13, 15, 13]$1,[14, 13, 11]$1,[18, 7, 6]$1]

Algorithm definition

The algorithm ⟨19 × 22 × 26:6425⟩ could be constructed using the following decomposition:

⟨19 × 22 × 26:6425⟩ = ⟨10 × 10 × 14:951⟩ + ⟨10 × 10 × 14:951⟩ + ⟨9 × 12 × 12:800⟩ + ⟨10 × 12 × 12:936⟩ + ⟨9 × 12 × 14:968⟩ + ⟨9 × 10 × 12:708⟩ + ⟨10 × 12 × 14:1111⟩.

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_1_21A_1_22A_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_2_21A_2_22A_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_20A_3_21A_3_22A_4_1A_4_2A_4_3A_4_4A_4_5A_4_6A_4_7A_4_8A_4_9A_4_10A_4_11A_4_12A_4_13A_4_14A_4_15A_4_16A_4_17A_4_18A_4_19A_4_20A_4_21A_4_22A_5_1A_5_2A_5_3A_5_4A_5_5A_5_6A_5_7A_5_8A_5_9A_5_10A_5_11A_5_12A_5_13A_5_14A_5_15A_5_16A_5_17A_5_18A_5_19A_5_20A_5_21A_5_22A_6_1A_6_2A_6_3A_6_4A_6_5A_6_6A_6_7A_6_8A_6_9A_6_10A_6_11A_6_12A_6_13A_6_14A_6_15A_6_16A_6_17A_6_18A_6_19A_6_20A_6_21A_6_22A_7_1A_7_2A_7_3A_7_4A_7_5A_7_6A_7_7A_7_8A_7_9A_7_10A_7_11A_7_12A_7_13A_7_14A_7_15A_7_16A_7_17A_7_18A_7_19A_7_20A_7_21A_7_22A_8_1A_8_2A_8_3A_8_4A_8_5A_8_6A_8_7A_8_8A_8_9A_8_10A_8_11A_8_12A_8_13A_8_14A_8_15A_8_16A_8_17A_8_18A_8_19A_8_20A_8_21A_8_22A_9_1A_9_2A_9_3A_9_4A_9_5A_9_6A_9_7A_9_8A_9_9A_9_10A_9_11A_9_12A_9_13A_9_14A_9_15A_9_16A_9_17A_9_18A_9_19A_9_20A_9_21A_9_22A_10_1A_10_2A_10_3A_10_4A_10_5A_10_6A_10_7A_10_8A_10_9A_10_10A_10_11A_10_12A_10_13A_10_14A_10_15A_10_16A_10_17A_10_18A_10_19A_10_20A_10_21A_10_22A_11_1A_11_2A_11_3A_11_4A_11_5A_11_6A_11_7A_11_8A_11_9A_11_10A_11_11A_11_12A_11_13A_11_14A_11_15A_11_16A_11_17A_11_18A_11_19A_11_20A_11_21A_11_22A_12_1A_12_2A_12_3A_12_4A_12_5A_12_6A_12_7A_12_8A_12_9A_12_10A_12_11A_12_12A_12_13A_12_14A_12_15A_12_16A_12_17A_12_18A_12_19A_12_20A_12_21A_12_22A_13_1A_13_2A_13_3A_13_4A_13_5A_13_6A_13_7A_13_8A_13_9A_13_10A_13_11A_13_12A_13_13A_13_14A_13_15A_13_16A_13_17A_13_18A_13_19A_13_20A_13_21A_13_22A_14_1A_14_2A_14_3A_14_4A_14_5A_14_6A_14_7A_14_8A_14_9A_14_10A_14_11A_14_12A_14_13A_14_14A_14_15A_14_16A_14_17A_14_18A_14_19A_14_20A_14_21A_14_22A_15_1A_15_2A_15_3A_15_4A_15_5A_15_6A_15_7A_15_8A_15_9A_15_10A_15_11A_15_12A_15_13A_15_14A_15_15A_15_16A_15_17A_15_18A_15_19A_15_20A_15_21A_15_22A_16_1A_16_2A_16_3A_16_4A_16_5A_16_6A_16_7A_16_8A_16_9A_16_10A_16_11A_16_12A_16_13A_16_14A_16_15A_16_16A_16_17A_16_18A_16_19A_16_20A_16_21A_16_22A_17_1A_17_2A_17_3A_17_4A_17_5A_17_6A_17_7A_17_8A_17_9A_17_10A_17_11A_17_12A_17_13A_17_14A_17_15A_17_16A_17_17A_17_18A_17_19A_17_20A_17_21A_17_22A_18_1A_18_2A_18_3A_18_4A_18_5A_18_6A_18_7A_18_8A_18_9A_18_10A_18_11A_18_12A_18_13A_18_14A_18_15A_18_16A_18_17A_18_18A_18_19A_18_20A_18_21A_18_22A_19_1A_19_2A_19_3A_19_4A_19_5A_19_6A_19_7A_19_8A_19_9A_19_10A_19_11A_19_12A_19_13A_19_14A_19_15A_19_16A_19_17A_19_18A_19_19A_19_20A_19_21A_19_22B_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_1_25B_1_26B_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_2_25B_2_26B_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_3_25B_3_26B_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_4_25B_4_26B_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_5_25B_5_26B_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_6_25B_6_26B_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_7_25B_7_26B_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_8_25B_8_26B_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_9_25B_9_26B_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_10_25B_10_26B_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_11_25B_11_26B_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_12_25B_12_26B_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_13_25B_13_26B_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_14_25B_14_26B_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_15_25B_15_26B_16_1B_16_2B_16_3B_16_4B_16_5B_16_6B_16_7B_16_8B_16_9B_16_10B_16_11B_16_1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22, [[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_1_21,A_1_22],[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_2_21,A_2_22],[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,A_3_21,A_3_22],[A_4_1,A_4_2,A_4_3,A_4_4,A_4_5,A_4_6,A_4_7,A_4_8,A_4_9,A_4_10,A_4_11,A_4_12,A_4_13,A_4_14,A_4_15,A_4_16,A_4_17,A_4_18,A_4_19,A_4_20,A_4_21,A_4_22],[A_5_1,A_5_2,A_5_3,A_5_4,A_5_5,A_5_6,A_5_7,A_5_8,A_5_9,A_5_10,A_5_11,A_5_12,A_5_13,A_5_14,A_5_15,A_5_16,A_5_17,A_5_18,A_5_19,A_5_20,A_5_21,A_5_22],[A_6_1,A_6_2,A_6_3,A_6_4,A_6_5,A_6_6,A_6_7,A_6_8,A_6_9,A_6_10,A_6_11,A_6_12,A_6_13,A_6_14,A_6_15,A_6_16,A_6_17,A_6_18,A_6_19,A_6_20,A_6_21,A_6_22],[A_7_1,A_7_2,A_7_3,A_7_4,A_7_5,A_7_6,A_7_7,A_7_8,A_7_9,A_7_10,A_7_11,A_7_12,A_7_13,A_7_14,A_7_15,A_7_16,A_7_17,A_7_18,A_7_19,A_7_20,A_7_21,A_7_22],[A_8_1,A_8_2,A_8_3,A_8_4,A_8_5,A_8_6,A_8_7,A_8_8,A_8_9,A_8_10,A_8_11,A_8_12,A_8_13,A_8_14,A_8_15,A_8_16,A_8_17,A_8_18,A_8_19,A_8_20,A_8_21,A_8_22],[A_9_1,A_9_2,A_9_3,A_9_4,A_9_5,A_9_6,A_9_7,A_9_8,A_9_9,A_9_10,A_9_11,A_9_12,A_9_13,A_9_14,A_9_15,A_9_16,A_9_17,A_9_18,A_9_19,A_9_20,A_9_21,A_9_22],[A_10_1,A_10_2,A_10_3,A_10_4,A_10_5,A_10_6,A_10_7,A_10_8,A_10_9,A_10_10,A_10_11,A_10_12,A_10_13,A_10_14,A_10_15,A_10_16,A_10_17,A_10_18,A_10_19,A_10_20,A_10_21,A_10_22],[A_11_1,A_11_2,A_11_3,A_11_4,A_11_5,A_11_6,A_11_7,A_11_8,A_11_9,A_11_10,A_11_11,A_11_12,A_11_13,A_11_14,A_11_15,A_11_16,A_11_17,A_11_18,A_11_19,A_11_20,A_11_21,A_11_22],[A_12_1,A_12_2,A_12_3,A_12_4,A_12_5,A_12_6,A_12_7,A_12_8,A_12_9,A_12_10,A_12_11,A_12_12,A_12_13,A_12_14,A_12_15,A_12_16,A_12_17,A_12_18,A_12_19,A_12_20,A_12_21,A_12_22],[A_13_1,A_13_2,A_13_3,A_13_4,A_13_5,A_13_6,A_13_7,A_13_8,A_13_9,A_13_10,A_13_11,A_13_12,A_13_13,A_13_14,A_13_15,A_13_16,A_13_17,A_13_18,A_13_19,A_13_20,A_13_21,A_13_22],[A_14_1,A_14_2,A_14_3,A_14_4,A_14_5,A_14_6,A_14_7,A_14_8,A_14_9,A_14_10,A_14_11,A_14_12,A_14_13,A_14_14,A_14_15,A_14_16,A_14_17,A_14_18,A_14_19,A_14_20,A_14_21,A_14_22],[A_15_1,A_15_2,A_15_3,A_15_4,A_15_5,A_15_6,A_15_7,A_15_8,A_15_9,A_15_10,A_15_11,A_15_12,A_15_13,A_15_14,A_15_15,A_15_16,A_15_17,A_15_18,A_15_19,A_15_20,A_15_21,A_15_22],[A_16_1,A_16_2,A_16_3,A_16_4,A_16_5,A_16_6,A_16_7,A_16_8,A_16_9,A_16_10,A_16_11,A_16_12,A_16_13,A_16_14,A_16_15,A_16_16,A_16_17,A_16_18,A_16_19,A_16_20,A_16_21,A_16_22],[A_17_1,A_17_2,A_17_3,A_17_4,A_17_5,A_17_6,A_17_7,A_17_8,A_17_9,A_17_10,A_17_11,A_17_12,A_17_13,A_17_14,A_17_15,A_17_16,A_17_17,A_17_18,A_17_19,A_17_20,A_17_21,A_17_22],[A_18_1,A_18_2,A_18_3,A_18_4,A_18_5,A_18_6,A_18_7,A_18_8,A_18_9,A_18_10,A_18_11,A_18_12,A_18_13,A_18_14,A_18_15,A_18_16,A_18_17,A_18_18,A_18_19,A_18_20,A_18_21,A_18_22],[A_19_1,A_19_2,A_19_3,A_19_4,A_19_5,A_19_6,A_19_7,A_19_8,A_19_9,A_19_10,A_19_11,A_19_12,A_19_13,A_19_14,A_19_15,A_19_16,A_19_17,A_19_18,A_19_19,A_19_20,A_19_21,A_19_22]]),Matrix(22, 26, [[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_1_25,B_1_26],[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_2_25,B_2_26],[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_3_25,B_3_26],[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_4_25,B_4_26],[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_5_25,B_5_26],[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_6_25,B_6_26],[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_7_25,B_7_26],[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_8_25,B_8_26],[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_9_25,B_9_26],[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_10_25,B_10_26],[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_11_25,B_11_26],[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_12_25,B_12_26],[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_13_25,B_13_26],[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_14_25,B_14_26],[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_15_25,B_15_26],[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_16_25,B_16_26],[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_17_25,B_17_26],[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_18_25,B_18_26],[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_19_25,B_19_26],[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,B_20_25,B_20_26],[B_21_1,B_21_2,B_21_3,B_21_4,B_21_5,B_21_6,B_21_7,B_21_8,B_21_9,B_21_10,B_21_11,B_21_12,B_21_13,B_21_14,B_21_15,B_21_16,B_21_17,B_21_18,B_21_19,B_21_20,B_21_21,B_21_22,B_21_23,B_21_24,B_21_25,B_21_26],[B_22_1,B_22_2,B_22_3,B_22_4,B_22_5,B_22_6,B_22_7,B_22_8,B_22_9,B_22_10,B_22_11,B_22_12,B_22_13,B_22_14,B_22_15,B_22_16,B_22_17,B_22_18,B_22_19,B_22_20,B_22_21,B_22_22,B_22_23,B_22_24,B_22_25,B_22_26]]),Matrix(26, 19, [[C_1_1,C_1_2,C_1_3,C_1_4,C_1_5,C_1_6,C_1_7,C_1_8,C_1_9,C_1_10,C_1_11,C_1_12,C_1_13,C_1_14,C_1_15,C_1_16,C_1_17,C_1_18,C_1_19],[C_2_1,C_2_2,C_2_3,C_2_4,C_2_5,C_2_6,C_2_7,C_2_8,C_2_9,C_2_10,C_2_11,C_2_12,C_2_13,C_2_14,C_2_15,C_2_16,C_2_17,C_2_18,C_2_19],[C_3_1,C_3_2,C_3_3,C_3_4,C_3_5,C_3_6,C_3_7,C_3_8,C_3_9,C_3_10,C_3_11,C_3_12,C_3_13,C_3_14,C_3_15,C_3_16,C_3_17,C_3_18,C_3_19],[C_4_1,C_4_2,C_4_3,C_4_4,C_4_5,C_4_6,C_4_7,C_4_8,C_4_9,C_4_10,C_4_11,C_4_12,C_4_13,C_4_14,C_4_15,C_4_16,C_4_17,C_4_18,C_4_19],[C_5_1,C_5_2,C_5_3,C_5_4,C_5_5,C_5_6,C_5_7,C_5_8,C_5_9,C_5_10,C_5_11,C_5_12,C_5_13,C_5_14,C_5_15,C_5_16,C_5_17,C_5_18,C_5_19],[C_6_1,C_6_2,C_6_3,C_6_4,C_6_5,C_6_6,C_6_7,C_6_8,C_6_9,C_6_10,C_6_11,C_6_12,C_6_13,C_6_14,C_6_15,C_6_16,C_6_17,C_6_18,C_6_19],[C_7_1,C_7_2,C_7_3,C_7_4,C_7_5,C_7_6,C_7_7,C_7_8,C_7_9,C_7_10,C_7_11,C_7_12,C_7_13,C_7_14,C_7_15,C_7_16,C_7_17,C_7_18,C_7_19],[C_8_1,C_8_2,C_8_3,C_8_4,C_8_5,C_8_6,C_8_7,C_8_8,C_8_9,C_8_10,C_8_11,C_8_12,C_8_13,C_8_14,C_8_15,C_8_16,C_8_17,C_8_18,C_8_19],[C_9_1,C_9_2,C_9_3,C_9_4,C_9_5,C_9_6,C_9_7,C_9_8,C_9_9,C_9_10,C_9_11,C_9_12,C_9_13,C_9_14,C_9_15,C_9_16,C_9_17,C_9_18,C_9_19],[C_10_1,C_10_2,C_10_3,C_10_4,C_10_5,C_10_6,C_10_7,C_10_8,C_10_9,C_10_10,C_10_11,C_10_12,C_10_13,C_10_14,C_10_15,C_10_16,C_10_17,C_10_18,C_10_19],[C_11_1,C_11_2,C_11_3,C_11_4,C_11_5,C_11_6,C_11_7,C_11_8,C_11_9,C_11_10,C_11_11,C_11_12,C_11_13,C_11_14,C_11_15,C_11_16,C_11_17,C_11_18,C_11_19],[C_12_1,C_12_2,C_12_3,C_12_4,C_12_5,C_12_6,C_12_7,C_12_8,C_12_9,C_12_10,C_12_11,C_12_12,C_12_13,C_12_14,C_12_15,C_12_16,C_12_17,C_12_18,C_12_19],[C_13_1,C_13_2,C_13_3,C_13_4,C_13_5,C_13_6,C_13_7,C_13_8,C_13_9,C_13_10,C_13_11,C_13_12,C_13_13,C_13_14,C_13_15,C_13_16,C_13_17,C_13_18,C_13_19],[C_14_1,C_14_2,C_14_3,C_14_4,C_14_5,C_14_6,C_14_7,C_14_8,C_14_9,C_14_10,C_14_11,C_14_12,C_14_13,C_14_14,C_14_15,C_14_16,C_14_17,C_14_18,C_14_19],[C_15_1,C_15_2,C_15_3,C_15_4,C_15_5,C_15_6,C_15_7,C_15_8,C_15_9,C_15_10,C_15_11,C_15_12,C_15_13,C_15_14,C_15_15,C_15_16,C_15_17,C_15_18,C_15_19],[C_16_1,C_16_2,C_16_3,C_16_4,C_16_5,C_16_6,C_16_7,C_16_8,C_16_9,C_16_10,C_16_11,C_16_12,C_16_13,C_16_14,C_16_15,C_16_16,C_16_17,C_16_18,C_16_19],[C_17_1,C_17_2,C_17_3,C_17_4,C_17_5,C_17_6,C_17_7,C_17_8,C_17_9,C_17_10,C_17_11,C_17_12,C_17_13,C_17_14,C_17_15,C_17_16,C_17_17,C_17_18,C_17_19],[C_18_1,C_18_2,C_18_3,C_18_4,C_18_5,C_18_6,C_18_7,C_18_8,C_18_9,C_18_10,C_18_11,C_18_12,C_18_13,C_18_14,C_18_15,C_18_16,C_18_17,C_18_18,C_18_19],[C_19_1,C_19_2,C_19_3,C_19_4,C_19_5,C_19_6,C_19_7,C_19_8,C_19_9,C_19_10,C_19_11,C_19_12,C_19_13,C_19_14,C_19_15,C_19_16,C_19_17,C_19_18,C_19_19],[C_20_1,C_20_2,C_20_3,C_20_4,C_20_5,C_20_6,C_20_7,C_20_8,C_20_9,C_20_10,C_20_11,C_20_12,C_20_13,C_20_14,C_20_15,C_20_16,C_20_17,C_20_18,C_20_19],[C_21_1,C_21_2,C_21_3,C_21_4,C_21_5,C_21_6,C_21_7,C_21_8,C_21_9,C_21_10,C_21_11,C_21_12,C_21_13,C_21_14,C_21_15,C_21_16,C_21_17,C_21_18,C_21_19],[C_22_1,C_22_2,C_22_3,C_22_4,C_22_5,C_22_6,C_22_7,C_22_8,C_22_9,C_22_10,C_22_11,C_22_12,C_22_13,C_22_14,C_22_15,C_22_16,C_22_17,C_22_18,C_22_19],[C_23_1,C_23_2,C_23_3,C_23_4,C_23_5,C_23_6,C_23_7,C_23_8,C_23_9,C_23_10,C_23_11,C_23_12,C_23_13,C_23_14,C_23_15,C_23_16,C_23_17,C_23_18,C_23_19],[C_24_1,C_24_2,C_24_3,C_24_4,C_24_5,C_24_6,C_24_7,C_24_8,C_24_9,C_24_10,C_24_11,C_24_12,C_24_13,C_24_14,C_24_15,C_24_16,C_24_17,C_24_18,C_24_19],[C_25_1,C_25_2,C_25_3,C_25_4,C_25_5,C_25_6,C_25_7,C_25_8,C_25_9,C_25_10,C_25_11,C_25_12,C_25_13,C_25_14,C_25_15,C_25_16,C_25_17,C_25_18,C_25_19],[C_26_1,C_26_2,C_26_3,C_26_4,C_26_5,C_26_6,C_26_7,C_26_8,C_26_9,C_26_10,C_26_11,C_26_12,C_26_13,C_26_14,C_26_15,C_26_16,C_26_17,C_26_18,C_26_19]]))) = Trace(Mul(Matrix(10, 10, [[A_10_9-A_10_13,A_10_10-A_10_14,A_10_1-A_10_15,A_10_11-A_10_16,A_10_12-A_10_17,A_10_4-A_10_18,A_10_5-A_10_19,A_10_6-A_10_20,A_10_7-A_10_21,A_10_8-A_10_22],[A_11_9-A_11_13,A_11_10-A_11_14,A_11_1-A_11_15,A_11_11-A_11_16,A_11_12-A_11_17,A_11_4-A_11_18,A_11_5-A_11_19,A_11_6-A_11_20,A_11_7-A_11_21,A_11_8-A_11_22],[A_12_9-A_12_13,A_12_10-A_12_14,A_12_1-A_12_15,A_12_11-A_12_16,A_12_12-A_12_17,A_12_4-A_12_18,A_12_5-A_12_19,A_12_6-A_12_20,A_12_7-A_12_21,A_12_8-A_12_22],[A_13_9-A_13_13,A_13_10-A_13_14,A_13_1-A_13_15,A_13_11-A_13_16,A_13_12-A_13_17,A_13_4-A_13_18,A_13_5-A_13_19,A_13_6-A_13_20,A_13_7-A_13_21,A_13_8-A_13_22],[A_14_9-A_14_13,A_14_10-A_14_14,A_14_1-A_14_15,A_14_11-A_14_16,A_14_12-A_14_17,A_14_4-A_14_18,A_14_5-A_14_19,A_14_6-A_14_20,A_14_7-A_14_21,A_14_8-A_14_22],[A_15_9-A_15_13,A_15_10-A_15_14,A_15_1-A_15_15,A_15_11-A_15_16,A_15_12-A_15_17,A_15_4-A_15_18,A_15_5-A_15_19,A_15_6-A_15_20,A_15_7-A_15_21,A_15_8-A_15_22],[A_16_9-A_16_13,A_16_10-A_16_14,A_16_1-A_16_15,A_16_11-A_16_16,A_16_12-A_16_17,A_16_4-A_16_18,A_16_5-A_16_19,A_16_6-A_16_20,A_16_7-A_16_21,A_16_8-A_16_22],[A_17_9-A_17_13,A_17_10-A_17_14,A_17_1-A_17_15,A_17_11-A_17_16,A_17_12-A_17_17,A_17_4-A_17_18,A_17_5-A_17_19,A_17_6-A_17_20,A_17_7-A_17_21,A_17_8-A_17_22],[A_18_9-A_18_13,A_18_10-A_18_14,A_18_1-A_18_15,A_18_11-A_18_16,A_18_12-A_18_17,A_18_4-A_18_18,A_18_5-A_18_19,A_18_6-A_18_20,A_18_7-A_18_21,A_18_8-A_18_22],[A_19_9-A_19_13,A_19_10-A_19_14,A_19_1-A_19_15,A_19_11-A_19_16,A_19_12-A_19_17,A_19_4-A_19_18,A_19_5-A_19_19,A_19_6-A_19_20,A_19_7-A_19_21,A_19_8-A_19_22]]),Matrix(10, 14, [[B_9_3,B_9_4,-B_9_1+B_9_6,-B_9_2+B_9_7,-B_9_13+B_9_17,-B_9_14+B_9_18,-B_9_5+B_9_19,-B_9_15+B_9_20,-B_9_16+B_9_21,-B_9_8+B_9_22,-B_9_9+B_9_23,-B_9_10+B_9_24,-B_9_11+B_9_25,-B_9_12+B_9_26],[B_10_3,B_10_4,-B_10_1+B_10_6,-B_10_2+B_10_7,-B_10_13+B_10_17,-B_10_14+B_10_18,-B_10_5+B_10_19,-B_10_15+B_10_20,-B_10_16+B_10_21,-B_10_8+B_10_22,-B_10_9+B_10_23,-B_10_10+B_10_24,-B_10_11+B_10_25,-B_10_12+B_10_26],[B_1_3,B_1_4,-B_1_1+B_1_6,-B_1_2+B_1_7,-B_1_13+B_1_17,-B_1_14+B_1_18,-B_1_5+B_1_19,-B_1_15+B_1_20,-B_1_16+B_1_21,-B_1_8+B_1_22,-B_1_9+B_1_23,-B_1_10+B_1_24,-B_1_11+B_1_25,-B_1_12+B_1_26],[B_11_3,B_11_4,-B_11_1+B_11_6,-B_11_2+B_11_7,-B_11_13+B_11_17,-B_11_14+B_11_18,-B_11_5+B_11_19,-B_11_15+B_11_20,-B_11_16+B_11_21,-B_11_8+B_11_22,-B_11_9+B_11_23,-B_11_10+B_11_24,-B_11_11+B_11_25,-B_11_12+B_11_26],[B_12_3,B_12_4,-B_12_1+B_12_6,-B_12_2+B_12_7,-B_12_13+B_12_17,-B_12_14+B_12_18,-B_12_5+B_12_19,-B_12_15+B_12_20,-B_12_16+B_12_21,-B_12_8+B_12_22,-B_12_9+B_12_23,-B_12_10+B_12_24,-B_12_11+B_12_25,-B_12_12+B_12_26],[B_4_3,B_4_4,-B_4_1+B_4_6,-B_4_2+B_4_7,-B_4_13+B_4_17,-B_4_14+B_4_18,-B_4_5+B_4_19,-B_4_15+B_4_20,-B_4_16+B_4_21,-B_4_8+B_4_22,-B_4_9+B_4_23,-B_4_10+B_4_24,-B_4_11+B_4_25,-B_4_12+B_4_26],[B_5_3,B_5_4,-B_5_1+B_5_6,-B_5_2+B_5_7,-B_5_13+B_5_17,-B_5_14+B_5_18,-B_5_5+B_5_19,-B_5_15+B_5_20,-B_5_16+B_5_21,-B_5_8+B_5_22,-B_5_9+B_5_23,-B_5_10+B_5_24,-B_5_11+B_5_25,-B_5_12+B_5_26],[B_6_3,B_6_4,-B_6_1+B_6_6,-B_6_2+B_6_7,-B_6_13+B_6_17,-B_6_14+B_6_18,-B_6_5+B_6_19,-B_6_15+B_6_20,-B_6_16+B_6_21,-B_6_8+B_6_22,-B_6_9+B_6_23,-B_6_10+B_6_24,-B_6_11+B_6_25,-B_6_12+B_6_26],[B_7_3,B_7_4,-B_7_1+B_7_6,-B_7_2+B_7_7,-B_7_13+B_7_17,-B_7_14+B_7_18,-B_7_5+B_7_19,-B_7_15+B_7_20,-B_7_16+B_7_21,-B_7_8+B_7_22,-B_7_9+B_7_23,-B_7_10+B_7_24,-B_7_11+B_7_25,-B_7_12+B_7_26],[B_8_3,B_8_4,-B_8_1+B_8_6,-B_8_2+B_8_7,-B_8_13+B_8_17,-B_8_14+B_8_18,-B_8_5+B_8_19,-B_8_15+B_8_20,-B_8_16+B_8_21,-B_8_8+B_8_22,-B_8_9+B_8_23,-B_8_10+B_8_24,-B_8_11+B_8_25,-B_8_12+B_8_26]]),Matrix(14, 10, [[-C_3_6+C_3_10,-C_3_7+C_3_11,C_3_12,-C_3_8+C_3_13,-C_3_9+C_3_14,-C_3_1+C_3_15,-C_3_2+C_3_16,-C_3_3+C_3_17,-C_3_4+C_3_18,-C_3_5+C_3_19],[-C_4_6+C_4_10,-C_4_7+C_4_11,C_4_12,-C_4_8+C_4_13,-C_4_9+C_4_14,-C_4_1+C_4_15,-C_4_2+C_4_16,-C_4_3+C_4_17,-C_4_4+C_4_18,-C_4_5+C_4_19],[-C_6_6+C_6_10,-C_6_7+C_6_11,C_6_12,-C_6_8+C_6_13,-C_6_9+C_6_14,-C_6_1+C_6_15,-C_6_2+C_6_16,-C_6_3+C_6_17,-C_6_4+C_6_18,-C_6_5+C_6_19],[-C_7_6+C_7_10,-C_7_7+C_7_11,C_7_12,-C_7_8+C_7_13,-C_7_9+C_7_14,-C_7_1+C_7_15,-C_7_2+C_7_16,-C_7_3+C_7_17,-C_7_4+C_7_18,-C_7_5+C_7_19],[-C_17_6+C_17_10,-C_17_7+C_17_11,C_17_12,-C_17_8+C_17_13,-C_17_9+C_17_14,-C_17_1+C_17_15,-C_17_2+C_17_16,-C_17_3+C_17_17,-C_17_4+C_17_18,-C_17_5+C_17_19],[-C_18_6+C_18_10,-C_18_7+C_18_11,C_18_12,-C_18_8+C_18_13,-C_18_9+C_18_14,-C_18_1+C_18_15,-C_18_2+C_18_16,-C_18_3+C_18_17,-C_18_4+C_18_18,-C_18_5+C_18_19],[-C_19_6+C_19_10,-C_19_7+C_19_11,C_19_12,-C_19_8+C_19_13,-C_19_9+C_19_14,-C_19_1+C_19_15,-C_19_2+C_19_16,-C_19_3+C_19_17,-C_19_4+C_19_18,-C_19_5+C_19_19],[-C_20_6+C_20_10,-C_20_7+C_20_11,C_20_12,-C_20_8+C_20_13,-C_20_9+C_20_14,-C_20_1+C_20_15,-C_20_2+C_20_16,-C_20_3+C_20_17,-C_20_4+C_20_18,-C_20_5+C_20_19],[-C_21_6+C_21_10,-C_21_7+C_21_11,C_21_12,-C_21_8+C_21_13,-C_21_9+C_21_14,-C_21_1+C_21_15,-C_21_2+C_21_16,-C_21_3+C_21_17,-C_21_4+C_21_18,-C_21_5+C_21_19],[-C_22_6+C_22_10,-C_22_7+C_22_11,C_22_12,-C_22_8+C_22_13,-C_22_9+C_22_14,-C_22_1+C_22_15,-C_22_2+C_22_16,-C_22_3+C_22_17,-C_22_4+C_22_18,-C_22_5+C_22_19],[-C_23_6+C_23_10,-C_23_7+C_23_11,C_23_12,-C_23_8+C_23_13,-C_23_9+C_23_14,-C_23_1+C_23_15,-C_23_2+C_23_16,-C_23_3+C_23_17,-C_23_4+C_23_18,-C_23_5+C_23_19],[-C_24_6+C_24_10,-C_24_7+C_24_11,C_24_12,-C_24_8+C_24_13,-C_24_9+C_24_14,-C_24_1+C_24_15,-C_24_2+C_24_16,-C_24_3+C_24_17,-C_24_4+C_24_18,-C_24_5+C_24_19],[-C_25_6+C_25_10,-C_25_7+C_25_11,C_25_12,-C_25_8+C_25_13,-C_25_9+C_25_14,-C_25_1+C_25_15,-C_25_2+C_25_16,-C_25_3+C_25_17,-C_25_4+C_25_18,-C_25_5+C_25_19],[-C_26_6+C_26_10,-C_26_7+C_26_11,C_26_12,-C_26_8+C_26_13,-C_26_9+C_26_14,-C_26_1+C_26_15,-C_26_2+C_26_16,-C_26_3+C_26_17,-C_26_4+C_26_18,-C_26_5+C_26_19]])))+Trace(Mul(Matrix(10, 10, [[A_6_9+A_10_9,A_6_10+A_10_10,A_6_1+A_10_1,A_6_11+A_10_11,A_6_12+A_10_12,A_6_4+A_10_4,A_6_5+A_10_5,A_6_6+A_10_6,A_6_7+A_10_7,A_6_8+A_10_8],[A_7_9+A_11_9,A_7_10+A_11_10,A_7_1+A_11_1,A_7_11+A_11_11,A_7_12+A_11_12,A_7_4+A_11_4,A_7_5+A_11_5,A_7_6+A_11_6,A_7_7+A_11_7,A_7_8+A_11_8],[A_12_9,A_12_10,A_12_1,A_12_11,A_12_12,A_12_4,A_12_5,A_12_6,A_12_7,A_12_8],[A_8_9+A_13_9,A_8_10+A_13_10,A_8_1+A_13_1,A_8_11+A_13_11,A_8_12+A_13_12,A_8_4+A_13_4,A_8_5+A_13_5,A_8_6+A_13_6,A_8_7+A_13_7,A_8_8+A_13_8],[A_9_9+A_14_9,A_9_10+A_14_10,A_9_1+A_14_1,A_9_11+A_14_11,A_9_12+A_14_12,A_9_4+A_14_4,A_9_5+A_14_5,A_9_6+A_14_6,A_9_7+A_14_7,A_9_8+A_14_8],[A_1_9+A_15_9,A_1_10+A_15_10,A_1_1+A_15_1,A_1_11+A_15_11,A_1_12+A_15_12,A_1_4+A_15_4,A_1_5+A_15_5,A_1_6+A_15_6,A_1_7+A_15_7,A_1_8+A_15_8],[A_2_9+A_16_9,A_2_10+A_16_10,A_2_1+A_16_1,A_2_11+A_16_11,A_2_12+A_16_12,A_2_4+A_16_4,A_2_5+A_16_5,A_2_6+A_16_6,A_2_7+A_16_7,A_2_8+A_16_8],[A_3_9+A_17_9,A_3_10+A_17_10,A_3_1+A_17_1,A_3_11+A_17_11,A_3_12+A_17_12,A_3_4+A_17_4,A_3_5+A_17_5,A_3_6+A_17_6,A_3_7+A_17_7,A_3_8+A_17_8],[A_4_9+A_18_9,A_4_10+A_18_10,A_4_1+A_18_1,A_4_11+A_18_11,A_4_12+A_18_12,A_4_4+A_18_4,A_4_5+A_18_5,A_4_6+A_18_6,A_4_7+A_18_7,A_4_8+A_18_8],[A_5_9+A_19_9,A_5_10+A_19_10,A_5_1+A_19_1,A_5_11+A_19_11,A_5_12+A_19_12,A_5_4+A_19_4,A_5_5+A_19_5,A_5_6+A_19_6,A_5_7+A_19_7,A_5_8+A_19_8]]),Matrix(10, 14, [[B_9_3+B_13_3,B_9_4+B_13_4,B_9_6+B_13_6,B_9_7+B_13_7,B_9_17+B_13_17,B_9_18+B_13_18,B_9_19+B_13_19,B_9_20+B_13_20,B_9_21+B_13_21,B_9_22+B_13_22,B_9_23+B_13_23,B_9_24+B_13_24,B_9_25+B_13_25,B_9_26+B_13_26],[B_10_3+B_14_3,B_10_4+B_14_4,B_10_6+B_14_6,B_10_7+B_14_7,B_10_17+B_14_17,B_10_18+B_14_18,B_10_19+B_14_19,B_10_20+B_14_20,B_10_21+B_14_21,B_10_22+B_14_22,B_10_23+B_14_23,B_10_24+B_14_24,B_10_25+B_14_25,B_10_26+B_14_26],[B_1_3+B_15_3,B_1_4+B_15_4,B_1_6+B_15_6,B_1_7+B_15_7,B_1_17+B_15_17,B_1_18+B_15_18,B_1_19+B_15_19,B_1_20+B_15_20,B_1_21+B_15_21,B_1_22+B_15_22,B_1_23+B_15_23,B_1_24+B_15_24,B_1_25+B_15_25,B_1_26+B_15_26],[B_11_3+B_16_3,B_11_4+B_16_4,B_11_6+B_16_6,B_11_7+B_16_7,B_11_17+B_16_17,B_11_18+B_16_18,B_11_19+B_16_19,B_11_20+B_16_20,B_11_21+B_16_21,B_11_22+B_16_22,B_11_23+B_16_23,B_11_24+B_16_24,B_11_25+B_16_25,B_11_26+B_16_26],[B_12_3+B_17_3,B_12_4+B_17_4,B_12_6+B_17_6,B_12_7+B_17_7,B_12_17+B_17_17,B_12_18+B_17_18,B_12_19+B_17_19,B_12_20+B_17_20,B_12_21+B_17_21,B_12_22+B_17_22,B_12_23+B_17_23,B_12_24+B_17_24,B_12_25+B_17_25,B_12_26+B_17_26],[B_4_3+B_18_3,B_4_4+B_18_4,B_4_6+B_18_6,B_4_7+B_18_7,B_4_17+B_18_17,B_4_18+B_18_18,B_4_19+B_18_19,B_4_20+B_18_20,B_4_21+B_18_21,B_4_22+B_18_22,B_4_23+B_18_23,B_4_24+B_18_24,B_4_25+B_18_25,B_4_26+B_18_26],[B_5_3+B_19_3,B_5_4+B_19_4,B_5_6+B_19_6,B_5_7+B_19_7,B_5_17+B_19_17,B_5_18+B_19_18,B_5_19+B_19_19,B_5_20+B_19_20,B_5_21+B_19_21,B_5_22+B_19_22,B_5_23+B_19_23,B_5_24+B_19_24,B_5_25+B_19_25,B_5_26+B_19_26],[B_6_3+B_20_3,B_6_4+B_20_4,B_6_6+B_20_6,B_6_7+B_20_7,B_6_17+B_20_17,B_6_18+B_20_18,B_6_19+B_20_19,B_6_20+B_20_20,B_6_21+B_20_21,B_6_22+B_20_22,B_6_23+B_20_23,B_6_24+B_20_24,B_6_25+B_20_25,B_6_26+B_20_26],[B_7_3+B_21_3,B_7_4+B_21_4,B_7_6+B_21_6,B_7_7+B_21_7,B_7_17+B_21_17,B_7_18+B_21_18,B_7_19+B_21_19,B_7_20+B_21_20,B_7_21+B_21_21,B_7_22+B_21_22,B_7_23+B_21_23,B_7_24+B_21_24,B_7_25+B_21_25,B_7_26+B_21_26],[B_8_3+B_22_3,B_8_4+B_22_4,B_8_6+B_22_6,B_8_7+B_22_7,B_8_17+B_22_17,B_8_18+B_22_18,B_8_19+B_22_19,B_8_20+B_22_20,B_8_21+B_22_21,B_8_22+B_22_22,B_8_23+B_22_23,B_8_24+B_22_24,B_8_25+B_22_25,B_8_26+B_22_26]]),Matrix(14, 10, [[C_3_10,C_3_11,C_3_12,C_3_13,C_3_14,C_3_15,C_3_16,C_3_17,C_3_18,C_3_19],[C_4_10,C_4_11,C_4_12,C_4_13,C_4_14,C_4_15,C_4_16,C_4_17,C_4_18,C_4_19],[C_1_10+C_6_10,C_1_11+C_6_11,C_1_12+C_6_12,C_1_13+C_6_13,C_1_14+C_6_14,C_1_15+C_6_15,C_1_16+C_6_16,C_1_17+C_6_17,C_1_18+C_6_18,C_1_19+C_6_19],[C_2_10+C_7_10,C_2_11+C_7_11,C_2_12+C_7_12,C_2_13+C_7_13,C_2_14+C_7_14,C_2_15+C_7_15,C_2_16+C_7_16,C_2_17+C_7_17,C_2_18+C_7_18,C_2_19+C_7_19],[C_13_10+C_17_10,C_13_11+C_17_11,C_13_12+C_17_12,C_13_13+C_17_13,C_13_14+C_17_14,C_13_15+C_17_15,C_13_16+C_17_16,C_13_17+C_17_17,C_13_18+C_17_18,C_13_19+C_17_19],[C_14_10+C_18_10,C_14_11+C_18_11,C_14_12+C_18_12,C_14_13+C_18_13,C_14_14+C_18_14,C_14_15+C_18_15,C_14_16+C_18_16,C_14_17+C_18_17,C_14_18+C_18_18,C_14_19+C_18_19],[C_5_10+C_19_10,C_5_11+C_19_11,C_5_12+C_19_12,C_5_13+C_19_13,C_5_14+C_19_14,C_5_15+C_19_15,C_5_16+C_19_16,C_5_17+C_19_17,C_5_18+C_19_18,C_5_19+C_19_19],[C_15_10+C_20_10,C_15_11+C_20_11,C_15_12+C_20_12,C_15_13+C_20_13,C_15_14+C_20_14,C_15_15+C_20_15,C_15_16+C_20_16,C_15_17+C_20_17,C_15_18+C_20_18,C_15_19+C_20_19],[C_16_10+C_21_10,C_16_11+C_21_11,C_16_12+C_21_12,C_16_13+C_21_13,C_16_14+C_21_14,C_16_15+C_21_15,C_16_16+C_21_16,C_16_17+C_21_17,C_16_18+C_21_18,C_16_19+C_21_19],[C_8_10+C_22_10,C_8_11+C_22_11,C_8_12+C_22_12,C_8_13+C_22_13,C_8_14+C_22_14,C_8_15+C_22_15,C_8_16+C_22_16,C_8_17+C_22_17,C_8_18+C_22_18,C_8_19+C_22_19],[C_9_10+C_23_10,C_9_11+C_23_11,C_9_12+C_23_12,C_9_13+C_23_13,C_9_14+C_23_14,C_9_15+C_23_15,C_9_16+C_23_16,C_9_17+C_23_17,C_9_18+C_23_18,C_9_19+C_23_19],[C_10_10+C_24_10,C_10_11+C_24_11,C_10_12+C_24_12,C_10_13+C_24_13,C_10_14+C_24_14,C_10_15+C_24_15,C_10_16+C_24_16,C_10_17+C_24_17,C_10_18+C_24_18,C_10_19+C_24_19],[C_11_10+C_25_10,C_11_11+C_25_11,C_11_12+C_25_12,C_11_13+C_25_13,C_11_14+C_25_14,C_11_15+C_25_15,C_11_16+C_25_16,C_11_17+C_25_17,C_11_18+C_25_18,C_11_19+C_25_19],[C_12_10+C_26_10,C_12_11+C_26_11,C_12_12+C_26_12,C_12_13+C_26_13,C_12_14+C_26_14,C_12_15+C_26_15,C_12_16+C_26_16,C_12_17+C_26_17,C_12_18+C_26_18,C_12_19+C_26_19]])))+Trace(Mul(Matrix(9, 12, [[A_6_2,A_6_3,A_6_13,A_6_14,A_6_15,A_6_16,A_6_17,A_6_18,A_6_19,A_6_20,A_6_21,A_6_22],[A_7_2,A_7_3,A_7_13,A_7_14,A_7_15,A_7_16,A_7_17,A_7_18,A_7_19,A_7_20,A_7_21,A_7_22],[A_8_2,A_8_3,A_8_13,A_8_14,A_8_15,A_8_16,A_8_17,A_8_18,A_8_19,A_8_20,A_8_21,A_8_22],[A_9_2,A_9_3,A_9_13,A_9_14,A_9_15,A_9_16,A_9_17,A_9_18,A_9_19,A_9_20,A_9_21,A_9_22],[A_1_2,A_1_3,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_1_21,A_1_22],[A_2_2,A_2_3,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_2_21,A_2_22],[A_3_2,A_3_3,A_3_13,A_3_14,A_3_15,A_3_16,A_3_17,A_3_18,A_3_19,A_3_20,A_3_21,A_3_22],[A_4_2,A_4_3,A_4_13,A_4_14,A_4_15,A_4_16,A_4_17,A_4_18,A_4_19,A_4_20,A_4_21,A_4_22],[A_5_2,A_5_3,A_5_13,A_5_14,A_5_15,A_5_16,A_5_17,A_5_18,A_5_19,A_5_20,A_5_21,A_5_22]]),Matrix(12, 12, [[B_2_1,B_2_2,B_2_13,B_2_14,B_2_5,B_2_15,B_2_16,B_2_8,B_2_9,B_2_10,B_2_11,B_2_12],[B_3_1,B_3_2,B_3_13,B_3_14,B_3_5,B_3_15,B_3_16,B_3_8,B_3_9,B_3_10,B_3_11,B_3_12],[B_13_1,B_13_2,B_13_13,B_13_14,B_13_5,B_13_15,B_13_16,B_13_8,B_13_9,B_13_10,B_13_11,B_13_12],[B_14_1,B_14_2,B_14_13,B_14_14,B_14_5,B_14_15,B_14_16,B_14_8,B_14_9,B_14_10,B_14_11,B_14_12],[B_15_1,B_15_2,B_15_13,B_15_14,B_15_5,B_15_15,B_15_16,B_15_8,B_15_9,B_15_10,B_15_11,B_15_12],[B_16_1,B_16_2,B_16_13,B_16_14,B_16_5,B_16_15,B_16_16,B_16_8,B_16_9,B_16_10,B_16_11,B_16_12],[B_17_1,B_17_2,B_17_13,B_17_14,B_17_5,B_17_15,B_17_16,B_17_8,B_17_9,B_17_10,B_17_11,B_17_12],[B_18_1,B_18_2,B_18_13,B_18_14,B_18_5,B_18_15,B_18_16,B_18_8,B_18_9,B_18_10,B_18_11,B_18_12],[B_19_1,B_19_2,B_19_13,B_19_14,B_19_5,B_19_15,B_19_16,B_19_8,B_19_9,B_19_10,B_19_11,B_19_12],[B_20_1,B_20_2,B_20_13,B_20_14,B_20_5,B_20_15,B_20_16,B_20_8,B_20_9,B_20_10,B_20_11,B_20_12],[B_21_1,B_21_2,B_21_13,B_21_14,B_21_5,B_21_15,B_21_16,B_21_8,B_21_9,B_21_10,B_21_11,B_21_12],[B_22_1,B_22_2,B_22_13,B_22_14,B_22_5,B_22_15,B_22_16,B_22_8,B_22_9,B_22_10,B_22_11,B_22_12]]),Matrix(12, 9, [[C_1_6,C_1_7,C_1_8,C_1_9,C_1_1,C_1_2,C_1_3,C_1_4,C_1_5],[C_2_6,C_2_7,C_2_8,C_2_9,C_2_1,C_2_2,C_2_3,C_2_4,C_2_5],[C_13_6,C_13_7,C_13_8,C_13_9,C_13_1,C_13_2,C_13_3,C_13_4,C_13_5],[C_14_6,C_14_7,C_14_8,C_14_9,C_14_1,C_14_2,C_14_3,C_14_4,C_14_5],[C_5_6,C_5_7,C_5_8,C_5_9,C_5_1,C_5_2,C_5_3,C_5_4,C_5_5],[C_15_6,C_15_7,C_15_8,C_15_9,C_15_1,C_15_2,C_15_3,C_15_4,C_15_5],[C_16_6,C_16_7,C_16_8,C_16_9,C_16_1,C_16_2,C_16_3,C_16_4,C_16_5],[C_8_6,C_8_7,C_8_8,C_8_9,C_8_1,C_8_2,C_8_3,C_8_4,C_8_5],[C_9_6,C_9_7,C_9_8,C_9_9,C_9_1,C_9_2,C_9_3,C_9_4,C_9_5],[C_10_6,C_10_7,C_10_8,C_10_9,C_10_1,C_10_2,C_10_3,C_10_4,C_10_5],[C_11_6,C_11_7,C_11_8,C_11_9,C_11_1,C_11_2,C_11_3,C_11_4,C_11_5],[C_12_6,C_12_7,C_12_8,C_12_9,C_12_1,C_12_2,C_12_3,C_12_4,C_12_5]])))+Trace(Mul(Matrix(10, 12, [[A_10_2,A_10_3,A_10_13,A_10_14,A_10_15,A_10_16,A_10_17,A_10_18,A_10_19,A_10_20,A_10_21,A_10_22],[A_11_2,A_11_3,A_11_13,A_11_14,A_11_15,A_11_16,A_11_17,A_11_18,A_11_19,A_11_20,A_11_21,A_11_22],[A_12_2,A_12_3,A_12_13,A_12_14,A_12_15,A_12_16,A_12_17,A_12_18,A_12_19,A_12_20,A_12_21,A_12_22],[A_13_2,A_13_3,A_13_13,A_13_14,A_13_15,A_13_16,A_13_17,A_13_18,A_13_19,A_13_20,A_13_21,A_13_22],[A_14_2,A_14_3,A_14_13,A_14_14,A_14_15,A_14_16,A_14_17,A_14_18,A_14_19,A_14_20,A_14_21,A_14_22],[A_15_2,A_15_3,A_15_13,A_15_14,A_15_15,A_15_16,A_15_17,A_15_18,A_15_19,A_15_20,A_15_21,A_15_22],[A_16_2,A_16_3,A_16_13,A_16_14,A_16_15,A_16_16,A_16_17,A_16_18,A_16_19,A_16_20,A_16_21,A_16_22],[A_17_2,A_17_3,A_17_13,A_17_14,A_17_15,A_17_16,A_17_17,A_17_18,A_17_19,A_17_20,A_17_21,A_17_22],[A_18_2,A_18_3,A_18_13,A_18_14,A_18_15,A_18_16,A_18_17,A_18_18,A_18_19,A_18_20,A_18_21,A_18_22],[A_19_2,A_19_3,A_19_13,A_19_14,A_19_15,A_19_16,A_19_17,A_19_18,A_19_19,A_19_20,A_19_21,A_19_22]]),Matrix(12, 12, [[B_2_1-B_2_6,B_2_2-B_2_7,B_2_13-B_2_17,B_2_14-B_2_18,B_2_5-B_2_19,B_2_15-B_2_20,B_2_16-B_2_21,B_2_8-B_2_22,B_2_9-B_2_23,B_2_10-B_2_24,B_2_11-B_2_25,B_2_12-B_2_26],[B_3_1-B_3_6,B_3_2-B_3_7,B_3_13-B_3_17,B_3_14-B_3_18,B_3_5-B_3_19,B_3_15-B_3_20,B_3_16-B_3_21,B_3_8-B_3_22,B_3_9-B_3_23,B_3_10-B_3_24,B_3_11-B_3_25,B_3_12-B_3_26],[B_9_1+B_13_1-B_9_6-B_13_6,B_9_2+B_13_2-B_9_7-B_13_7,B_9_13+B_13_13-B_9_17-B_13_17,B_9_14+B_13_14-B_9_18-B_13_18,B_9_5+B_13_5-B_9_19-B_13_19,B_9_15+B_13_15-B_9_20-B_13_20,B_9_16+B_13_16-B_9_21-B_13_21,B_9_8+B_13_8-B_9_22-B_13_22,B_9_9+B_13_9-B_9_23-B_13_23,B_9_10+B_13_10-B_9_24-B_13_24,B_9_11+B_13_11-B_9_25-B_13_25,B_9_12+B_13_12-B_9_26-B_13_26],[B_10_1+B_14_1-B_10_6-B_14_6,B_10_2+B_14_2-B_10_7-B_14_7,B_10_13+B_14_13-B_10_17-B_14_17,B_10_14+B_14_14-B_10_18-B_14_18,B_10_5+B_14_5-B_10_19-B_14_19,B_10_15+B_14_15-B_10_20-B_14_20,B_10_16+B_14_16-B_10_21-B_14_21,B_10_8+B_14_8-B_10_22-B_14_22,B_10_9+B_14_9-B_10_23-B_14_23,B_10_10+B_14_10-B_10_24-B_14_24,B_10_11+B_14_11-B_10_25-B_14_25,B_10_12+B_14_12-B_10_26-B_14_26],[B_1_1+B_15_1-B_1_6-B_15_6,B_1_2+B_15_2-B_1_7-B_15_7,B_1_13+B_15_13-B_1_17-B_15_17,B_1_14+B_15_14-B_1_18-B_15_18,B_1_5+B_15_5-B_1_19-B_15_19,B_1_15+B_15_15-B_1_20-B_15_20,B_1_16+B_15_16-B_1_21-B_15_21,B_1_8+B_15_8-B_1_22-B_15_22,B_1_9+B_15_9-B_1_23-B_15_23,B_1_10+B_15_10-B_1_24-B_15_24,B_1_11+B_15_11-B_1_25-B_15_25,B_1_12+B_15_12-B_1_26-B_15_26],[B_11_1+B_16_1-B_11_6-B_16_6,B_11_2+B_16_2-B_11_7-B_16_7,B_11_13+B_16_13-B_11_17-B_16_17,B_11_14+B_16_14-B_11_18-B_16_18,B_11_5+B_16_5-B_11_19-B_16_19,B_11_15+B_16_15-B_11_20-B_16_20,B_11_16+B_16_16-B_11_21-B_16_21,B_11_8+B_16_8-B_11_22-B_16_22,B_11_9+B_16_9-B_11_23-B_16_23,B_11_10+B_16_10-B_11_24-B_16_24,B_11_11+B_16_11-B_11_25-B_16_25,B_11_12+B_16_12-B_11_26-B_16_26],[B_12_1+B_17_1-B_12_6-B_17_6,B_12_2+B_17_2-B_12_7-B_17_7,B_12_13+B_17_13-B_12_17-B_17_17,B_12_14+B_17_14-B_12_18-B_17_18,B_12_5+B_17_5-B_12_19-B_17_19,B_12_15+B_17_15-B_12_20-B_17_20,B_12_16+B_17_16-B_12_21-B_17_21,B_12_8+B_17_8-B_12_22-B_17_22,B_12_9+B_17_9-B_12_23-B_17_23,B_12_10+B_17_10-B_12_24-B_17_24,B_12_11+B_17_11-B_12_25-B_17_25,B_12_12+B_17_12-B_12_26-B_17_26],[B_4_1+B_18_1-B_4_6-B_18_6,B_4_2+B_18_2-B_4_7-B_18_7,B_4_13+B_18_13-B_4_17-B_18_17,B_4_14+B_18_14-B_4_18-B_18_18,B_4_5+B_18_5-B_4_19-B_18_19,B_4_15+B_18_15-B_4_20-B_18_20,B_4_16+B_18_16-B_4_21-B_18_21,B_4_8+B_18_8-B_4_22-B_18_22,B_4_9+B_18_9-B_4_23-B_18_23,B_4_10+B_18_10-B_4_24-B_18_24,B_4_11+B_18_11-B_4_25-B_18_25,B_4_12+B_18_12-B_4_26-B_18_26],[B_5_1+B_19_1-B_5_6-B_19_6,B_5_2+B_19_2-B_5_7-B_19_7,B_5_13+B_19_13-B_5_17-B_19_17,B_5_14+B_19_14-B_5_18-B_19_18,B_5_5+B_19_5-B_5_19-B_19_19,B_5_15+B_19_15-B_5_20-B_19_20,B_5_16+B_19_16-B_5_21-B_19_21,B_5_8+B_19_8-B_5_22-B_19_22,B_5_9+B_19_9-B_5_23-B_19_23,B_5_10+B_19_10-B_5_24-B_19_24,B_5_11+B_19_11-B_5_25-B_19_25,B_5_12+B_19_12-B_5_26-B_19_26],[B_6_1+B_20_1-B_6_6-B_20_6,B_6_2+B_20_2-B_6_7-B_20_7,B_6_13+B_20_13-B_6_17-B_20_17,B_6_14+B_20_14-B_6_18-B_20_18,B_6_5+B_20_5-B_6_19-B_20_19,B_6_15+B_20_15-B_6_20-B_20_20,B_6_16+B_20_16-B_6_21-B_20_21,B_6_8+B_20_8-B_6_22-B_20_22,B_6_9+B_20_9-B_6_23-B_20_23,B_6_10+B_20_10-B_6_24-B_20_24,B_6_11+B_20_11-B_6_25-B_20_25,B_6_12+B_20_12-B_6_26-B_20_26],[B_7_1+B_21_1-B_7_6-B_21_6,B_7_2+B_21_2-B_7_7-B_21_7,B_7_13+B_21_13-B_7_17-B_21_17,B_7_14+B_21_14-B_7_18-B_21_18,B_7_5+B_21_5-B_7_19-B_21_19,B_7_15+B_21_15-B_7_20-B_21_20,B_7_16+B_21_16-B_7_21-B_21_21,B_7_8+B_21_8-B_7_22-B_21_22,B_7_9+B_21_9-B_7_23-B_21_23,B_7_10+B_21_10-B_7_24-B_21_24,B_7_11+B_21_11-B_7_25-B_21_25,B_7_12+B_21_12-B_7_26-B_21_26],[B_8_1+B_22_1-B_8_6-B_22_6,B_8_2+B_22_2-B_8_7-B_22_7,B_8_13+B_22_13-B_8_17-B_22_17,B_8_14+B_22_14-B_8_18-B_22_18,B_8_5+B_22_5-B_8_19-B_22_19,B_8_15+B_22_15-B_8_20-B_22_20,B_8_16+B_22_16-B_8_21-B_22_21,B_8_8+B_22_8-B_8_22-B_22_22,B_8_9+B_22_9-B_8_23-B_22_23,B_8_10+B_22_10-B_8_24-B_22_24,B_8_11+B_22_11-B_8_25-B_22_25,B_8_12+B_22_12-B_8_26-B_22_26]]),Matrix(12, 10, [[C_1_10,C_1_11,C_1_12,C_1_13,C_1_14,C_1_15,C_1_16,C_1_17,C_1_18,C_1_19],[C_2_10,C_2_11,C_2_12,C_2_13,C_2_14,C_2_15,C_2_16,C_2_17,C_2_18,C_2_19],[C_13_10,C_13_11,C_13_12,C_13_13,C_13_14,C_13_15,C_13_16,C_13_17,C_13_18,C_13_19],[C_14_10,C_14_11,C_14_12,C_14_13,C_14_14,C_14_15,C_14_16,C_14_17,C_14_18,C_14_19],[C_5_10,C_5_11,C_5_12,C_5_13,C_5_14,C_5_15,C_5_16,C_5_17,C_5_18,C_5_19],[C_15_10,C_15_11,C_15_12,C_15_13,C_15_14,C_15_15,C_15_16,C_15_17,C_15_18,C_15_19],[C_16_10,C_16_11,C_16_12,C_16_13,C_16_14,C_16_15,C_16_16,C_16_17,C_16_18,C_16_19],[C_8_10,C_8_11,C_8_12,C_8_13,C_8_14,C_8_15,C_8_16,C_8_17,C_8_18,C_8_19],[C_9_10,C_9_11,C_9_12,C_9_13,C_9_14,C_9_15,C_9_16,C_9_17,C_9_18,C_9_19],[C_10_10,C_10_11,C_10_12,C_10_13,C_10_14,C_10_15,C_10_16,C_10_17,C_10_18,C_10_19],[C_11_10,C_11_11,C_11_12,C_11_13,C_11_14,C_11_15,C_11_16,C_11_17,C_11_18,C_11_19],[C_12_10,C_12_11,C_12_12,C_12_13,C_12_14,C_12_15,C_12_16,C_12_17,C_12_18,C_12_19]])))+Trace(Mul(Matrix(9, 12, [[A_6_2+A_10_2,A_6_3+A_10_3,-A_6_9-A_10_9+A_6_13+A_10_13,-A_6_10-A_10_10+A_6_14+A_10_14,-A_6_1-A_10_1+A_6_15+A_10_15,-A_6_11-A_10_11+A_6_16+A_10_16,-A_6_12-A_10_12+A_6_17+A_10_17,-A_6_4-A_10_4+A_6_18+A_10_18,-A_6_5-A_10_5+A_6_19+A_10_19,-A_6_6-A_10_6+A_6_20+A_10_20,-A_6_7-A_10_7+A_6_21+A_10_21,-A_6_8-A_10_8+A_6_22+A_10_22],[A_7_2+A_11_2,A_7_3+A_11_3,-A_7_9-A_11_9+A_7_13+A_11_13,-A_7_10-A_11_10+A_7_14+A_11_14,-A_7_1-A_11_1+A_7_15+A_11_15,-A_7_11-A_11_11+A_7_16+A_11_16,-A_7_12-A_11_12+A_7_17+A_11_17,-A_7_4-A_11_4+A_7_18+A_11_18,-A_7_5-A_11_5+A_7_19+A_11_19,-A_7_6-A_11_6+A_7_20+A_11_20,-A_7_7-A_11_7+A_7_21+A_11_21,-A_7_8-A_11_8+A_7_22+A_11_22],[A_8_2+A_13_2,A_8_3+A_13_3,-A_8_9-A_13_9+A_8_13+A_13_13,-A_8_10-A_13_10+A_8_14+A_13_14,-A_8_1-A_13_1+A_8_15+A_13_15,-A_8_11-A_13_11+A_8_16+A_13_16,-A_8_12-A_13_12+A_8_17+A_13_17,-A_8_4-A_13_4+A_8_18+A_13_18,-A_8_5-A_13_5+A_8_19+A_13_19,-A_8_6-A_13_6+A_8_20+A_13_20,-A_8_7-A_13_7+A_8_21+A_13_21,-A_8_8-A_13_8+A_8_22+A_13_22],[A_9_2+A_14_2,A_9_3+A_14_3,-A_9_9-A_14_9+A_9_13+A_14_13,-A_9_10-A_14_10+A_9_14+A_14_14,-A_9_1-A_14_1+A_9_15+A_14_15,-A_9_11-A_14_11+A_9_16+A_14_16,-A_9_12-A_14_12+A_9_17+A_14_17,-A_9_4-A_14_4+A_9_18+A_14_18,-A_9_5-A_14_5+A_9_19+A_14_19,-A_9_6-A_14_6+A_9_20+A_14_20,-A_9_7-A_14_7+A_9_21+A_14_21,-A_9_8-A_14_8+A_9_22+A_14_22],[A_1_2+A_15_2,A_1_3+A_15_3,-A_1_9-A_15_9+A_1_13+A_15_13,-A_1_10-A_15_10+A_1_14+A_15_14,-A_1_1-A_15_1+A_1_15+A_15_15,-A_1_11-A_15_11+A_1_16+A_15_16,-A_1_12-A_15_12+A_1_17+A_15_17,-A_1_4-A_15_4+A_1_18+A_15_18,-A_1_5-A_15_5+A_1_19+A_15_19,-A_1_6-A_15_6+A_1_20+A_15_20,-A_1_7-A_15_7+A_1_21+A_15_21,-A_1_8-A_15_8+A_1_22+A_15_22],[A_2_2+A_16_2,A_2_3+A_16_3,-A_2_9-A_16_9+A_2_13+A_16_13,-A_2_10-A_16_10+A_2_14+A_16_14,-A_2_1-A_16_1+A_2_15+A_16_15,-A_2_11-A_16_11+A_2_16+A_16_16,-A_2_12-A_16_12+A_2_17+A_16_17,-A_2_4-A_16_4+A_2_18+A_16_18,-A_2_5-A_16_5+A_2_19+A_16_19,-A_2_6-A_16_6+A_2_20+A_16_20,-A_2_7-A_16_7+A_2_21+A_16_21,-A_2_8-A_16_8+A_2_22+A_16_22],[A_3_2+A_17_2,A_3_3+A_17_3,-A_3_9-A_17_9+A_3_13+A_17_13,-A_3_10-A_17_10+A_3_14+A_17_14,-A_3_1-A_17_1+A_3_15+A_17_15,-A_3_11-A_17_11+A_3_16+A_17_16,-A_3_12-A_17_12+A_3_17+A_17_17,-A_3_4-A_17_4+A_3_18+A_17_18,-A_3_5-A_17_5+A_3_19+A_17_19,-A_3_6-A_17_6+A_3_20+A_17_20,-A_3_7-A_17_7+A_3_21+A_17_21,-A_3_8-A_17_8+A_3_22+A_17_22],[A_4_2+A_18_2,A_4_3+A_18_3,-A_4_9-A_18_9+A_4_13+A_18_13,-A_4_10-A_18_10+A_4_14+A_18_14,-A_4_1-A_18_1+A_4_15+A_18_15,-A_4_11-A_18_11+A_4_16+A_18_16,-A_4_12-A_18_12+A_4_17+A_18_17,-A_4_4-A_18_4+A_4_18+A_18_18,-A_4_5-A_18_5+A_4_19+A_18_19,-A_4_6-A_18_6+A_4_20+A_18_20,-A_4_7-A_18_7+A_4_21+A_18_21,-A_4_8-A_18_8+A_4_22+A_18_22],[A_5_2+A_19_2,A_5_3+A_19_3,-A_5_9-A_19_9+A_5_13+A_19_13,-A_5_10-A_19_10+A_5_14+A_19_14,-A_5_1-A_19_1+A_5_15+A_19_15,-A_5_11-A_19_11+A_5_16+A_19_16,-A_5_12-A_19_12+A_5_17+A_19_17,-A_5_4-A_19_4+A_5_18+A_19_18,-A_5_5-A_19_5+A_5_19+A_19_19,-A_5_6-A_19_6+A_5_20+A_19_20,-A_5_7-A_19_7+A_5_21+A_19_21,-A_5_8-A_19_8+A_5_22+A_19_22]]),Matrix(12, 14, [[B_2_3,B_2_4,B_2_6,B_2_7,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_2_25,B_2_26],[B_3_3,B_3_4,B_3_6,B_3_7,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_3_25,B_3_26],[B_13_3,B_13_4,B_13_6,B_13_7,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_13_25,B_13_26],[B_14_3,B_14_4,B_14_6,B_14_7,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_14_25,B_14_26],[B_15_3,B_15_4,B_15_6,B_15_7,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_15_25,B_15_26],[B_16_3,B_16_4,B_16_6,B_16_7,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_16_25,B_16_26],[B_17_3,B_17_4,B_17_6,B_17_7,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_17_25,B_17_26],[B_18_3,B_18_4,B_18_6,B_18_7,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_18_25,B_18_26],[B_19_3,B_19_4,B_19_6,B_19_7,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_19_25,B_19_26],[B_20_3,B_20_4,B_20_6,B_20_7,B_20_17,B_20_18,B_20_19,B_20_20,B_20_21,B_20_22,B_20_23,B_20_24,B_20_25,B_20_26],[B_21_3,B_21_4,B_21_6,B_21_7,B_21_17,B_21_18,B_21_19,B_21_20,B_21_21,B_21_22,B_21_23,B_21_24,B_21_25,B_21_26],[B_22_3,B_22_4,B_22_6,B_22_7,B_22_17,B_22_18,B_22_19,B_22_20,B_22_21,B_22_22,B_22_23,B_22_24,B_22_25,B_22_26]]),Matrix(14, 9, [[C_3_6,C_3_7,C_3_8,C_3_9,C_3_1,C_3_2,C_3_3,C_3_4,C_3_5],[C_4_6,C_4_7,C_4_8,C_4_9,C_4_1,C_4_2,C_4_3,C_4_4,C_4_5],[C_6_6,C_6_7,C_6_8,C_6_9,C_6_1,C_6_2,C_6_3,C_6_4,C_6_5],[C_7_6,C_7_7,C_7_8,C_7_9,C_7_1,C_7_2,C_7_3,C_7_4,C_7_5],[C_17_6,C_17_7,C_17_8,C_17_9,C_17_1,C_17_2,C_17_3,C_17_4,C_17_5],[C_18_6,C_18_7,C_18_8,C_18_9,C_18_1,C_18_2,C_18_3,C_18_4,C_18_5],[C_19_6,C_19_7,C_19_8,C_19_9,C_19_1,C_19_2,C_19_3,C_19_4,C_19_5],[C_20_6,C_20_7,C_20_8,C_20_9,C_20_1,C_20_2,C_20_3,C_20_4,C_20_5],[C_21_6,C_21_7,C_21_8,C_21_9,C_21_1,C_21_2,C_21_3,C_21_4,C_21_5],[C_22_6,C_22_7,C_22_8,C_22_9,C_22_1,C_22_2,C_22_3,C_22_4,C_22_5],[C_23_6,C_23_7,C_23_8,C_23_9,C_23_1,C_23_2,C_23_3,C_23_4,C_23_5],[C_24_6,C_24_7,C_24_8,C_24_9,C_24_1,C_24_2,C_24_3,C_24_4,C_24_5],[C_25_6,C_25_7,C_25_8,C_25_9,C_25_1,C_25_2,C_25_3,C_25_4,C_25_5],[C_26_6,C_26_7,C_26_8,C_26_9,C_26_1,C_26_2,C_26_3,C_26_4,C_26_5]])))+Trace(Mul(Matrix(9, 10, [[A_6_9,A_6_10,A_6_1,A_6_11,A_6_12,A_6_4,A_6_5,A_6_6,A_6_7,A_6_8],[A_7_9,A_7_10,A_7_1,A_7_11,A_7_12,A_7_4,A_7_5,A_7_6,A_7_7,A_7_8],[A_8_9,A_8_10,A_8_1,A_8_11,A_8_12,A_8_4,A_8_5,A_8_6,A_8_7,A_8_8],[A_9_9,A_9_10,A_9_1,A_9_11,A_9_12,A_9_4,A_9_5,A_9_6,A_9_7,A_9_8],[A_1_9,A_1_10,A_1_1,A_1_11,A_1_12,A_1_4,A_1_5,A_1_6,A_1_7,A_1_8],[A_2_9,A_2_10,A_2_1,A_2_11,A_2_12,A_2_4,A_2_5,A_2_6,A_2_7,A_2_8],[A_3_9,A_3_10,A_3_1,A_3_11,A_3_12,A_3_4,A_3_5,A_3_6,A_3_7,A_3_8],[A_4_9,A_4_10,A_4_1,A_4_11,A_4_12,A_4_4,A_4_5,A_4_6,A_4_7,A_4_8],[A_5_9,A_5_10,A_5_1,A_5_11,A_5_12,A_5_4,A_5_5,A_5_6,A_5_7,A_5_8]]),Matrix(10, 12, [[B_9_1,B_9_2,B_9_13,B_9_14,B_9_5,B_9_15,B_9_16,B_9_8,B_9_9,B_9_10,B_9_11,B_9_12],[B_10_1,B_10_2,B_10_13,B_10_14,B_10_5,B_10_15,B_10_16,B_10_8,B_10_9,B_10_10,B_10_11,B_10_12],[B_1_1,B_1_2,B_1_13,B_1_14,B_1_5,B_1_15,B_1_16,B_1_8,B_1_9,B_1_10,B_1_11,B_1_12],[B_11_1,B_11_2,B_11_13,B_11_14,B_11_5,B_11_15,B_11_16,B_11_8,B_11_9,B_11_10,B_11_11,B_11_12],[B_12_1,B_12_2,B_12_13,B_12_14,B_12_5,B_12_15,B_12_16,B_12_8,B_12_9,B_12_10,B_12_11,B_12_12],[B_4_1,B_4_2,B_4_13,B_4_14,B_4_5,B_4_15,B_4_16,B_4_8,B_4_9,B_4_10,B_4_11,B_4_12],[B_5_1,B_5_2,B_5_13,B_5_14,B_5_5,B_5_15,B_5_16,B_5_8,B_5_9,B_5_10,B_5_11,B_5_12],[B_6_1,B_6_2,B_6_13,B_6_14,B_6_5,B_6_15,B_6_16,B_6_8,B_6_9,B_6_10,B_6_11,B_6_12],[B_7_1,B_7_2,B_7_13,B_7_14,B_7_5,B_7_15,B_7_16,B_7_8,B_7_9,B_7_10,B_7_11,B_7_12],[B_8_1,B_8_2,B_8_13,B_8_14,B_8_5,B_8_15,B_8_16,B_8_8,B_8_9,B_8_10,B_8_11,B_8_12]]),Matrix(12, 9, [[C_1_6+C_6_6-C_1_10-C_6_10,C_1_7+C_6_7-C_1_11-C_6_11,C_1_8+C_6_8-C_1_13-C_6_13,C_1_9+C_6_9-C_1_14-C_6_14,C_1_1+C_6_1-C_1_15-C_6_15,C_1_2+C_6_2-C_1_16-C_6_16,C_1_3+C_6_3-C_1_17-C_6_17,C_1_4+C_6_4-C_1_18-C_6_18,C_1_5+C_6_5-C_1_19-C_6_19],[C_2_6+C_7_6-C_2_10-C_7_10,C_2_7+C_7_7-C_2_11-C_7_11,C_2_8+C_7_8-C_2_13-C_7_13,C_2_9+C_7_9-C_2_14-C_7_14,C_2_1+C_7_1-C_2_15-C_7_15,C_2_2+C_7_2-C_2_16-C_7_16,C_2_3+C_7_3-C_2_17-C_7_17,C_2_4+C_7_4-C_2_18-C_7_18,C_2_5+C_7_5-C_2_19-C_7_19],[C_13_6+C_17_6-C_13_10-C_17_10,C_13_7+C_17_7-C_13_11-C_17_11,C_13_8+C_17_8-C_13_13-C_17_13,C_13_9+C_17_9-C_13_14-C_17_14,C_13_1+C_17_1-C_13_15-C_17_15,C_13_2+C_17_2-C_13_16-C_17_16,C_13_3+C_17_3-C_13_17-C_17_17,C_13_4+C_17_4-C_13_18-C_17_18,C_13_5+C_17_5-C_13_19-C_17_19],[C_14_6+C_18_6-C_14_10-C_18_10,C_14_7+C_18_7-C_14_11-C_18_11,C_14_8+C_18_8-C_14_13-C_18_13,C_14_9+C_18_9-C_14_14-C_18_14,C_14_1+C_18_1-C_14_15-C_18_15,C_14_2+C_18_2-C_14_16-C_18_16,C_14_3+C_18_3-C_14_17-C_18_17,C_14_4+C_18_4-C_14_18-C_18_18,C_14_5+C_18_5-C_14_19-C_18_19],[C_5_6+C_19_6-C_5_10-C_19_10,C_5_7+C_19_7-C_5_11-C_19_11,C_5_8+C_19_8-C_5_13-C_19_13,C_5_9+C_19_9-C_5_14-C_19_14,C_5_1+C_19_1-C_5_15-C_19_15,C_5_2+C_19_2-C_5_16-C_19_16,C_5_3+C_19_3-C_5_17-C_19_17,C_5_4+C_19_4-C_5_18-C_19_18,C_5_5+C_19_5-C_5_19-C_19_19],[C_15_6+C_20_6-C_15_10-C_20_10,C_15_7+C_20_7-C_15_11-C_20_11,C_15_8+C_20_8-C_15_13-C_20_13,C_15_9+C_20_9-C_15_14-C_20_14,C_15_1+C_20_1-C_15_15-C_20_15,C_15_2+C_20_2-C_15_16-C_20_16,C_15_3+C_20_3-C_15_17-C_20_17,C_15_4+C_20_4-C_15_18-C_20_18,C_15_5+C_20_5-C_15_19-C_20_19],[C_16_6+C_21_6-C_16_10-C_21_10,C_16_7+C_21_7-C_16_11-C_21_11,C_16_8+C_21_8-C_16_13-C_21_13,C_16_9+C_21_9-C_16_14-C_21_14,C_16_1+C_21_1-C_16_15-C_21_15,C_16_2+C_21_2-C_16_16-C_21_16,C_16_3+C_21_3-C_16_17-C_21_17,C_16_4+C_21_4-C_16_18-C_21_18,C_16_5+C_21_5-C_16_19-C_21_19],[C_8_6+C_22_6-C_8_10-C_22_10,C_8_7+C_22_7-C_8_11-C_22_11,C_8_8+C_22_8-C_8_13-C_22_13,C_8_9+C_22_9-C_8_14-C_22_14,C_8_1+C_22_1-C_8_15-C_22_15,C_8_2+C_22_2-C_8_16-C_22_16,C_8_3+C_22_3-C_8_17-C_22_17,C_8_4+C_22_4-C_8_18-C_22_18,C_8_5+C_22_5-C_8_19-C_22_19],[C_9_6+C_23_6-C_9_10-C_23_10,C_9_7+C_23_7-C_9_11-C_23_11,C_9_8+C_23_8-C_9_13-C_23_13,C_9_9+C_23_9-C_9_14-C_23_14,C_9_1+C_23_1-C_9_15-C_23_15,C_9_2+C_23_2-C_9_16-C_23_16,C_9_3+C_23_3-C_9_17-C_23_17,C_9_4+C_23_4-C_9_18-C_23_18,C_9_5+C_23_5-C_9_19-C_23_19],[C_10_6+C_24_6-C_10_10-C_24_10,C_10_7+C_24_7-C_10_11-C_24_11,C_10_8+C_24_8-C_10_13-C_24_13,C_10_9+C_24_9-C_10_14-C_24_14,C_10_1+C_24_1-C_10_15-C_24_15,C_10_2+C_24_2-C_10_16-C_24_16,C_10_3+C_24_3-C_10_17-C_24_17,C_10_4+C_24_4-C_10_18-C_24_18,C_10_5+C_24_5-C_10_19-C_24_19],[C_11_6+C_25_6-C_11_10-C_25_10,C_11_7+C_25_7-C_11_11-C_25_11,C_11_8+C_25_8-C_11_13-C_25_13,C_11_9+C_25_9-C_11_14-C_25_14,C_11_1+C_25_1-C_11_15-C_25_15,C_11_2+C_25_2-C_11_16-C_25_16,C_11_3+C_25_3-C_11_17-C_25_17,C_11_4+C_25_4-C_11_18-C_25_18,C_11_5+C_25_5-C_11_19-C_25_19],[C_12_6+C_26_6-C_12_10-C_26_10,C_12_7+C_26_7-C_12_11-C_26_11,C_12_8+C_26_8-C_12_13-C_26_13,C_12_9+C_26_9-C_12_14-C_26_14,C_12_1+C_26_1-C_12_15-C_26_15,C_12_2+C_26_2-C_12_16-C_26_16,C_12_3+C_26_3-C_12_17-C_26_17,C_12_4+C_26_4-C_12_18-C_26_18,C_12_5+C_26_5-C_12_19-C_26_19]])))+Trace(Mul(Matrix(10, 12, 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[[B_2_3,B_2_4,B_2_6,B_2_7,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_2_25,B_2_26],[B_3_3,B_3_4,B_3_6,B_3_7,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_3_25,B_3_26],[B_9_3+B_13_3,B_9_4+B_13_4,-B_9_1+B_9_6+B_13_6,-B_9_2+B_9_7+B_13_7,-B_9_13+B_9_17+B_13_17,-B_9_14+B_9_18+B_13_18,-B_9_5+B_9_19+B_13_19,-B_9_15+B_9_20+B_13_20,-B_9_16+B_9_21+B_13_21,-B_9_8+B_9_22+B_13_22,-B_9_9+B_9_23+B_13_23,-B_9_10+B_9_24+B_13_24,-B_9_11+B_9_25+B_13_25,-B_9_12+B_9_26+B_13_26],[B_10_3+B_14_3,B_10_4+B_14_4,-B_10_1+B_10_6+B_14_6,-B_10_2+B_10_7+B_14_7,-B_10_13+B_10_17+B_14_17,-B_10_14+B_10_18+B_14_18,-B_10_5+B_10_19+B_14_19,-B_10_15+B_10_20+B_14_20,-B_10_16+B_10_21+B_14_21,-B_10_8+B_10_22+B_14_22,-B_10_9+B_10_23+B_14_23,-B_10_10+B_10_24+B_14_24,-B_10_11+B_10_25+B_14_25,-B_10_12+B_10_26+B_14_26],[B_1_3+B_15_3,B_1_4+B_15_4,-B_1_1+B_1_6+B_15_6,-B_1_2+B_1_7+B_15_7,-B_1_13+B_1_17+B_15_17,-B_1_14+B_1_18+B_15_18,-B_1_5+B_1_19+B_15_19,-B_1_15+B_1_20+B_15_20,-B_1_16+B_1_21+B_15_21,-B_1_8+B_1_22+B_15_22,-B_1_9+B_1_23+B_15_23,-B_1_10+B_1_24+B_15_24,-B_1_11+B_1_25+B_15_25,-B_1_12+B_1_26+B_15_26],[B_11_3+B_16_3,B_11_4+B_16_4,-B_11_1+B_11_6+B_16_6,-B_11_2+B_11_7+B_16_7,-B_11_13+B_11_17+B_16_17,-B_11_14+B_11_18+B_16_18,-B_11_5+B_11_19+B_16_19,-B_11_15+B_11_20+B_16_20,-B_11_16+B_11_21+B_16_21,-B_11_8+B_11_22+B_16_22,-B_11_9+B_11_23+B_16_23,-B_11_10+B_11_24+B_16_24,-B_11_11+B_11_25+B_16_25,-B_11_12+B_11_26+B_16_26],[B_12_3+B_17_3,B_12_4+B_17_4,-B_12_1+B_12_6+B_17_6,-B_12_2+B_12_7+B_17_7,-B_12_13+B_12_17+B_17_17,-B_12_14+B_12_18+B_17_18,-B_12_5+B_12_19+B_17_19,-B_12_15+B_12_20+B_17_20,-B_12_16+B_12_21+B_17_21,-B_12_8+B_12_22+B_17_22,-B_12_9+B_12_23+B_17_23,-B_12_10+B_12_24+B_17_24,-B_12_11+B_12_25+B_17_25,-B_12_12+B_12_26+B_17_26],[B_4_3+B_18_3,B_4_4+B_18_4,-B_4_1+B_4_6+B_18_6,-B_4_2+B_4_7+B_18_7,-B_4_13+B_4_17+B_18_17,-B_4_14+B_4_18+B_18_18,-B_4_5+B_4_19+B_18_19,-B_4_15+B_4_20+B_18_20,-B_4_16+B_4_21+B_18_21,-B_4_8+B_4_22+B_18_22,-B_4_9+B_4_23+B_18_23,-B_4_10+B_4_24+B_18_24,-B_4_11+B_4_25+B_18_25,-B_4_12+B_4_26+B_18_26],[B_5_3+B_19_3,B_5_4+B_19_4,-B_5_1+B_5_6+B_19_6,-B_5_2+B_5_7+B_19_7,-B_5_13+B_5_17+B_19_17,-B_5_14+B_5_18+B_19_18,-B_5_5+B_5_19+B_19_19,-B_5_15+B_5_20+B_19_20,-B_5_16+B_5_21+B_19_21,-B_5_8+B_5_22+B_19_22,-B_5_9+B_5_23+B_19_23,-B_5_10+B_5_24+B_19_24,-B_5_11+B_5_25+B_19_25,-B_5_12+B_5_26+B_19_26],[B_6_3+B_20_3,B_6_4+B_20_4,-B_6_1+B_6_6+B_20_6,-B_6_2+B_6_7+B_20_7,-B_6_13+B_6_17+B_20_17,-B_6_14+B_6_18+B_20_18,-B_6_5+B_6_19+B_20_19,-B_6_15+B_6_20+B_20_20,-B_6_16+B_6_21+B_20_21,-B_6_8+B_6_22+B_20_22,-B_6_9+B_6_23+B_20_23,-B_6_10+B_6_24+B_20_24,-B_6_11+B_6_25+B_20_25,-B_6_12+B_6_26+B_20_26],[B_7_3+B_21_3,B_7_4+B_21_4,-B_7_1+B_7_6+B_21_6,-B_7_2+B_7_7+B_21_7,-B_7_13+B_7_17+B_21_17,-B_7_14+B_7_18+B_21_18,-B_7_5+B_7_19+B_21_19,-B_7_15+B_7_20+B_21_20,-B_7_16+B_7_21+B_21_21,-B_7_8+B_7_22+B_21_22,-B_7_9+B_7_23+B_21_23,-B_7_10+B_7_24+B_21_24,-B_7_11+B_7_25+B_21_25,-B_7_12+B_7_26+B_21_26],[B_8_3+B_22_3,B_8_4+B_22_4,-B_8_1+B_8_6+B_22_6,-B_8_2+B_8_7+B_22_7,-B_8_13+B_8_17+B_22_17,-B_8_14+B_8_18+B_22_18,-B_8_5+B_8_19+B_22_19,-B_8_15+B_8_20+B_22_20,-B_8_16+B_8_21+B_22_21,-B_8_8+B_8_22+B_22_22,-B_8_9+B_8_23+B_22_23,-B_8_10+B_8_24+B_22_24,-B_8_11+B_8_25+B_22_25,-B_8_12+B_8_26+B_22_26]]),Matrix(14, 10, [[-C_3_6+C_3_10,-C_3_7+C_3_11,C_3_12,-C_3_8+C_3_13,-C_3_9+C_3_14,-C_3_1+C_3_15,-C_3_2+C_3_16,-C_3_3+C_3_17,-C_3_4+C_3_18,-C_3_5+C_3_19],[-C_4_6+C_4_10,-C_4_7+C_4_11,C_4_12,-C_4_8+C_4_13,-C_4_9+C_4_14,-C_4_1+C_4_15,-C_4_2+C_4_16,-C_4_3+C_4_17,-C_4_4+C_4_18,-C_4_5+C_4_19],[-C_6_6+C_1_10+C_6_10,-C_6_7+C_1_11+C_6_11,C_1_12+C_6_12,-C_6_8+C_1_13+C_6_13,-C_6_9+C_1_14+C_6_14,-C_6_1+C_1_15+C_6_15,-C_6_2+C_1_16+C_6_16,-C_6_3+C_1_17+C_6_17,-C_6_4+C_1_18+C_6_18,-C_6_5+C_1_19+C_6_19],[-C_7_6+C_2_10+C_7_10,-C_7_7+C_2_11+C_7_11,C_2_12+C_7_12,-C_7_8+C_2_13+C_7_13,-C_7_9+C_2_14+C_7_14,-C_7_1+C_2_15+C_7_15,-C_7_2+C_2_16+C_7_16,-C_7_3+C_2_17+C_7_17,-C_7_4+C_2_18+C_7_18,-C_7_5+C_2_19+C_7_19],[-C_17_6+C_13_10+C_17_10,-C_17_7+C_13_11+C_17_11,C_13_12+C_17_12,-C_17_8+C_13_13+C_17_13,-C_17_9+C_13_14+C_17_14,-C_17_1+C_13_15+C_17_15,-C_17_2+C_13_16+C_17_16,-C_17_3+C_13_17+C_17_17,-C_17_4+C_13_18+C_17_18,-C_17_5+C_13_19+C_17_19],[-C_18_6+C_14_10+C_18_10,-C_18_7+C_14_11+C_18_11,C_14_12+C_18_12,-C_18_8+C_14_13+C_18_13,-C_18_9+C_14_14+C_18_14,-C_18_1+C_14_15+C_18_15,-C_18_2+C_14_16+C_18_16,-C_18_3+C_14_17+C_18_17,-C_18_4+C_14_18+C_18_18,-C_18_5+C_14_19+C_18_19],[-C_19_6+C_5_10+C_19_10,-C_19_7+C_5_11+C_19_11,C_5_12+C_19_12,-C_19_8+C_5_13+C_19_13,-C_19_9+C_5_14+C_19_14,-C_19_1+C_5_15+C_19_15,-C_19_2+C_5_16+C_19_16,-C_19_3+C_5_17+C_19_17,-C_19_4+C_5_18+C_19_18,-C_19_5+C_5_19+C_19_19],[-C_20_6+C_15_10+C_20_10,-C_20_7+C_15_11+C_20_11,C_15_12+C_20_12,-C_20_8+C_15_13+C_20_13,-C_20_9+C_15_14+C_20_14,-C_20_1+C_15_15+C_20_15,-C_20_2+C_15_16+C_20_16,-C_20_3+C_15_17+C_20_17,-C_20_4+C_15_18+C_20_18,-C_20_5+C_15_19+C_20_19],[-C_21_6+C_16_10+C_21_10,-C_21_7+C_16_11+C_21_11,C_16_12+C_21_12,-C_21_8+C_16_13+C_21_13,-C_21_9+C_16_14+C_21_14,-C_21_1+C_16_15+C_21_15,-C_21_2+C_16_16+C_21_16,-C_21_3+C_16_17+C_21_17,-C_21_4+C_16_18+C_21_18,-C_21_5+C_16_19+C_21_19],[-C_22_6+C_8_10+C_22_10,-C_22_7+C_8_11+C_22_11,C_8_12+C_22_12,-C_22_8+C_8_13+C_22_13,-C_22_9+C_8_14+C_22_14,-C_22_1+C_8_15+C_22_15,-C_22_2+C_8_16+C_22_16,-C_22_3+C_8_17+C_22_17,-C_22_4+C_8_18+C_22_18,-C_22_5+C_8_19+C_22_19],[-C_23_6+C_9_10+C_23_10,-C_23_7+C_9_11+C_23_11,C_9_12+C_23_12,-C_23_8+C_9_13+C_23_13,-C_23_9+C_9_14+C_23_14,-C_23_1+C_9_15+C_23_15,-C_23_2+C_9_16+C_23_16,-C_23_3+C_9_17+C_23_17,-C_23_4+C_9_18+C_23_18,-C_23_5+C_9_19+C_23_19],[-C_24_6+C_10_10+C_24_10,-C_24_7+C_10_11+C_24_11,C_10_12+C_24_12,-C_24_8+C_10_13+C_24_13,-C_24_9+C_10_14+C_24_14,-C_24_1+C_10_15+C_24_15,-C_24_2+C_10_16+C_24_16,-C_24_3+C_10_17+C_24_17,-C_24_4+C_10_18+C_24_18,-C_24_5+C_10_19+C_24_19],[-C_25_6+C_11_10+C_25_10,-C_25_7+C_11_11+C_25_11,C_11_12+C_25_12,-C_25_8+C_11_13+C_25_13,-C_25_9+C_11_14+C_25_14,-C_25_1+C_11_15+C_25_15,-C_25_2+C_11_16+C_25_16,-C_25_3+C_11_17+C_25_17,-C_25_4+C_11_18+C_25_18,-C_25_5+C_11_19+C_25_19],[-C_26_6+C_12_10+C_26_10,-C_26_7+C_12_11+C_26_11,C_12_12+C_26_12,-C_26_8+C_12_13+C_26_13,-C_26_9+C_12_14+C_26_14,-C_26_1+C_12_15+C_26_15,-C_26_2+C_12_16+C_26_16,-C_26_3+C_12_17+C_26_17,-C_26_4+C_12_18+C_26_18,-C_26_5+C_12_19+C_26_19]])))

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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