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Loading file "L13n4558__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4558 geometric_solution 10.58981206 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774042890473 1.141276871833 0 5 6 2 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506535050298 0.672326612617 7 0 1 8 0132 0132 0132 0132 1 1 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 1 0 -1 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 0.506535050298 0.672326612617 7 6 8 0 3120 1023 0132 0132 1 1 0 1 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 0 -1 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420284251627 0.499487496946 8 5 0 6 1023 0213 0132 0132 1 1 1 0 0 -1 0 1 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 7 1 -8 0 0 0 0 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420284251627 0.499487496946 9 1 4 7 0132 0132 0213 0132 1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 1 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652757896700 0.765195640637 3 10 4 1 1023 0132 0132 0132 1 1 0 1 0 1 -1 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 -8 8 0 -1 0 0 1 0 1 0 -1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013710385559 1.172157483594 2 10 5 3 0132 0213 0132 3120 1 1 0 0 0 0 1 -1 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 -7 7 -1 0 1 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 0.652757896700 0.765195640637 9 4 2 3 2103 1023 0132 0132 1 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 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 1.013710385559 1.172157483594 5 10 8 10 0132 2031 2103 0213 1 1 0 0 0 1 0 -1 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 -7 -1 8 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652757896700 0.765195640637 9 6 7 9 1302 0132 0213 0213 1 0 1 0 0 -1 0 1 0 0 -1 1 -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 8 0 -8 0 0 -1 1 7 -7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354738263851 0.756408264177 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 502099837/44870912*c_1100_0^7 - 764736391/22435456*c_1100_0^6 + 13027967799/44870912*c_1100_0^5 - 10733990791/44870912*c_1100_0^4 + 1513736481/22435456*c_1100_0^3 + 871275459/2804432*c_1100_0^2 + 2800647803/5608864*c_1100_0 + 3010393683/44870912, c_0011_0 - 1, c_0011_10 - 198191/2804432*c_1100_0^7 + 619937/2804432*c_1100_0^6 - 2603859/1402216*c_1100_0^5 + 4636979/2804432*c_1100_0^4 - 1729777/2804432*c_1100_0^3 - 6663927/2804432*c_1100_0^2 - 6360681/2804432*c_1100_0 - 68108/175277, c_0011_4 + 198191/2804432*c_1100_0^7 - 619937/2804432*c_1100_0^6 + 2603859/1402216*c_1100_0^5 - 4636979/2804432*c_1100_0^4 + 1729777/2804432*c_1100_0^3 + 6663927/2804432*c_1100_0^2 + 6360681/2804432*c_1100_0 + 68108/175277, c_0101_0 - 1, c_0101_1 + 6049/701108*c_1100_0^7 - 5903/701108*c_1100_0^6 + 66251/350554*c_1100_0^5 + 149023/701108*c_1100_0^4 + 129683/701108*c_1100_0^3 - 121331/701108*c_1100_0^2 + 303243/701108*c_1100_0 + 172079/175277, c_0101_3 + 203217/2804432*c_1100_0^7 - 443103/2804432*c_1100_0^6 + 2367637/1402216*c_1100_0^5 + 256323/2804432*c_1100_0^4 - 2484561/2804432*c_1100_0^3 + 7413161/2804432*c_1100_0^2 + 15494423/2804432*c_1100_0 + 445641/175277, c_0101_6 - 414465/2804432*c_1100_0^7 + 1103599/2804432*c_1100_0^6 - 5058925/1402216*c_1100_0^5 + 4359757/2804432*c_1100_0^4 + 4678145/2804432*c_1100_0^3 - 14371881/2804432*c_1100_0^2 - 22809975/2804432*c_1100_0 - 523889/175277, c_0101_7 + 6049/701108*c_1100_0^7 - 5903/701108*c_1100_0^6 + 66251/350554*c_1100_0^5 + 149023/701108*c_1100_0^4 + 129683/701108*c_1100_0^3 - 121331/701108*c_1100_0^2 + 1004351/701108*c_1100_0 + 172079/175277, c_1001_1 + 6049/701108*c_1100_0^7 - 5903/701108*c_1100_0^6 + 66251/350554*c_1100_0^5 + 149023/701108*c_1100_0^4 + 129683/701108*c_1100_0^3 - 121331/701108*c_1100_0^2 + 1004351/701108*c_1100_0 + 172079/175277, c_1001_2 + 1, c_1100_0^8 - 2*c_1100_0^7 + 23*c_1100_0^6 + 5*c_1100_0^5 - 10*c_1100_0^4 + 28*c_1100_0^3 + 76*c_1100_0^2 + 59*c_1100_0 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB