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Loading file "K11n78__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n78 geometric_solution 12.31245798 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782700266680 1.037232489955 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456698335284 0.565183873093 6 0 8 4 3012 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.281022572970 0.591455895393 5 9 9 0 2310 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370877644291 0.825269420768 10 11 0 2 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794111504299 1.068672998189 6 1 3 11 0321 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840739130755 1.546463763650 5 8 1 2 0321 3120 0132 1230 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552026469503 0.602858935243 12 12 9 1 0132 1302 1230 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 -7 -7 0 8 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546947649682 1.008122911908 12 6 10 2 1023 3120 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782700266680 1.037232489955 10 3 3 7 2310 0132 0321 3012 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 8 0 -8 0 0 8 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370877644291 0.825269420768 4 8 9 11 0132 0213 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135051155255 1.070411473683 12 4 10 5 2103 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065894300037 0.639850502648 7 8 11 7 0132 1023 2103 2031 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 -7 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370877644291 0.825269420768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_11, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 33324295945/418441232*c_1001_11^7 + 481550035/3458192*c_1001_11^6 + 57045310307/836882464*c_1001_11^5 + 3951802638439/836882464*c_1001_11^4 - 15325397242701/836882464*c_1001_11^3 + 12812250794985/836882464*c_1001_11^2 - 14197794721/6916384*c_1001_11 - 4349463169/14429008, c_0011_0 - 1, c_0011_10 - 17174/81983*c_1001_11^7 + 1352/7453*c_1001_11^6 + 26971/81983*c_1001_11^5 + 1042480/81983*c_1001_11^4 - 3028904/81983*c_1001_11^3 + 667140/81983*c_1001_11^2 - 1440/7453*c_1001_11 - 548/2827, c_0011_12 - 19594/81983*c_1001_11^7 + 1510/7453*c_1001_11^6 + 31283/81983*c_1001_11^5 + 41055/2827*c_1001_11^4 - 3432395/81983*c_1001_11^3 + 713340/81983*c_1001_11^2 + 4592/7453*c_1001_11 + 13170/81983, c_0011_3 - 10476/81983*c_1001_11^7 + 480/7453*c_1001_11^6 + 20642/81983*c_1001_11^5 + 22180/2827*c_1001_11^4 - 1611924/81983*c_1001_11^3 - 290538/81983*c_1001_11^2 + 17422/7453*c_1001_11 + 48085/81983, c_0011_6 - 8878/81983*c_1001_11^7 + 534/7453*c_1001_11^6 + 16463/81983*c_1001_11^5 + 541625/81983*c_1001_11^4 - 1459608/81983*c_1001_11^3 - 31797/81983*c_1001_11^2 + 18615/7453*c_1001_11 + 734/2827, c_0101_0 - 17174/81983*c_1001_11^7 + 1352/7453*c_1001_11^6 + 26971/81983*c_1001_11^5 + 1042480/81983*c_1001_11^4 - 3028904/81983*c_1001_11^3 + 667140/81983*c_1001_11^2 + 6013/7453*c_1001_11 + 2279/2827, c_0101_1 + 19944/81983*c_1001_11^7 - 48/257*c_1001_11^6 - 34690/81983*c_1001_11^5 - 1215188/81983*c_1001_11^4 + 3393353/81983*c_1001_11^3 - 350882/81983*c_1001_11^2 - 20993/7453*c_1001_11 + 33637/81983, c_0101_10 + 15412/81983*c_1001_11^7 - 880/7453*c_1001_11^6 - 25846/81983*c_1001_11^5 - 941024/81983*c_1001_11^4 + 2494950/81983*c_1001_11^3 - 51440/81983*c_1001_11^2 + 2569/7453*c_1001_11 - 1713/2827, c_0101_3 - 18182/81983*c_1001_11^7 + 920/7453*c_1001_11^6 + 33565/81983*c_1001_11^5 + 1113732/81983*c_1001_11^4 - 2859399/81983*c_1001_11^3 - 264818/81983*c_1001_11^2 + 12411/7453*c_1001_11 + 31932/81983, c_0101_7 - 7706/81983*c_1001_11^7 + 440/7453*c_1001_11^6 + 12923/81983*c_1001_11^5 + 470512/81983*c_1001_11^4 - 1247475/81983*c_1001_11^3 + 25720/81983*c_1001_11^2 + 2442/7453*c_1001_11 - 557/2827, c_0110_11 + 27650/81983*c_1001_11^7 - 1832/7453*c_1001_11^6 - 47613/81983*c_1001_11^5 - 1685700/81983*c_1001_11^4 + 4640828/81983*c_1001_11^3 - 376602/81983*c_1001_11^2 - 23435/7453*c_1001_11 - 32193/81983, c_1001_0 + 11888/81983*c_1001_11^7 - 1070/7453*c_1001_11^6 - 18360/81983*c_1001_11^5 - 720083/81983*c_1001_11^4 + 2184920/81983*c_1001_11^3 - 687620/81983*c_1001_11^2 - 2150/7453*c_1001_11 - 29323/81983, c_1001_11^8 - c_1001_11^7 - 3/2*c_1001_11^6 - 121/2*c_1001_11^5 + 369/2*c_1001_11^4 - 121/2*c_1001_11^3 - 3/2*c_1001_11^2 - c_1001_11 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_11, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1821897/55232*c_1001_0^10 - 755503/55232*c_1001_0^9 - 11632151/55232*c_1001_0^8 + 2146755/55232*c_1001_0^7 + 3781941/27616*c_1001_0^6 + 33638495/55232*c_1001_0^5 + 9094465/27616*c_1001_0^4 - 4730701/55232*c_1001_0^3 - 3377351/55232*c_1001_0^2 - 218821/6904*c_1001_0 - 2261495/55232, c_0011_0 - 1, c_0011_10 + 2421/24164*c_1001_0^10 - 677/24164*c_1001_0^9 + 12779/24164*c_1001_0^8 - 13507/24164*c_1001_0^7 - 11505/12082*c_1001_0^6 - 30291/24164*c_1001_0^5 - 1317/12082*c_1001_0^4 + 9355/3452*c_1001_0^3 + 12911/24164*c_1001_0^2 + 4351/6041*c_1001_0 - 4553/24164, c_0011_12 - c_1001_0, c_0011_3 + 5275/24164*c_1001_0^10 - 4145/24164*c_1001_0^9 + 29181/24164*c_1001_0^8 - 44007/24164*c_1001_0^7 - 12297/12082*c_1001_0^6 - 48453/24164*c_1001_0^5 + 17201/6041*c_1001_0^4 + 13487/3452*c_1001_0^3 - 56887/24164*c_1001_0^2 - 8425/12082*c_1001_0 + 5675/24164, c_0011_6 - 4553/24164*c_1001_0^10 + 2421/24164*c_1001_0^9 - 27995/24164*c_1001_0^8 + 30991/24164*c_1001_0^7 + 4629/12082*c_1001_0^6 + 54391/24164*c_1001_0^5 - 12869/12082*c_1001_0^4 - 7531/3452*c_1001_0^3 + 47273/24164*c_1001_0^2 + 4366/6041*c_1001_0 - 2207/24164, c_0101_0 + 2421/24164*c_1001_0^10 - 677/24164*c_1001_0^9 + 12779/24164*c_1001_0^8 - 13507/24164*c_1001_0^7 - 11505/12082*c_1001_0^6 - 30291/24164*c_1001_0^5 - 1317/12082*c_1001_0^4 + 9355/3452*c_1001_0^3 + 12911/24164*c_1001_0^2 + 4351/6041*c_1001_0 - 4553/24164, c_0101_1 + 677/24164*c_1001_0^10 + 1747/24164*c_1001_0^9 + 3823/24164*c_1001_0^8 + 10905/24164*c_1001_0^7 - 5433/12082*c_1001_0^6 + 213/24164*c_1001_0^5 - 19427/12082*c_1001_0^4 - 461/3452*c_1001_0^3 - 43989/24164*c_1001_0^2 + 533/6041*c_1001_0 + 21743/24164, c_0101_10 - 15/12082*c_1001_0^10 - 2442/6041*c_1001_0^9 + 879/12082*c_1001_0^8 - 15143/6041*c_1001_0^7 + 12827/6041*c_1001_0^6 + 14201/12082*c_1001_0^5 + 83445/12082*c_1001_0^4 - 638/863*c_1001_0^3 - 43677/12082*c_1001_0^2 - 5535/12082*c_1001_0 + 2039/6041, c_0101_3 + 677/24164*c_1001_0^10 + 1747/24164*c_1001_0^9 + 3823/24164*c_1001_0^8 + 10905/24164*c_1001_0^7 - 5433/12082*c_1001_0^6 + 213/24164*c_1001_0^5 - 19427/12082*c_1001_0^4 - 461/3452*c_1001_0^3 - 43989/24164*c_1001_0^2 + 533/6041*c_1001_0 + 21743/24164, c_0101_7 - 867/6041*c_1001_0^10 - 361/12082*c_1001_0^9 - 4771/6041*c_1001_0^8 + 6343/12082*c_1001_0^7 + 7589/6041*c_1001_0^6 + 18573/6041*c_1001_0^5 - 1235/12082*c_1001_0^4 - 5801/1726*c_1001_0^3 - 13891/6041*c_1001_0^2 + 6541/12082*c_1001_0 + 13509/12082, c_0110_11 + 5275/24164*c_1001_0^10 - 4145/24164*c_1001_0^9 + 29181/24164*c_1001_0^8 - 44007/24164*c_1001_0^7 - 12297/12082*c_1001_0^6 - 48453/24164*c_1001_0^5 + 17201/6041*c_1001_0^4 + 13487/3452*c_1001_0^3 - 56887/24164*c_1001_0^2 - 8425/12082*c_1001_0 + 5675/24164, c_1001_0^11 + 6*c_1001_0^9 - 4*c_1001_0^8 - 5*c_1001_0^7 - 17*c_1001_0^6 - c_1001_0^5 + 11*c_1001_0^4 + 4*c_1001_0^3 - c_1001_0^2 - c_1001_0 - 1, c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.880 Total time: 3.089 seconds, Total memory usage: 82.50MB