Magma V2.19-8 Tue Aug 20 2013 17:58:18 on localhost [Seed = 2496995534] Type ? for help. Type -D to quit. Loading file "10^2_83__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_83 geometric_solution 11.36375264 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 -6 -1 0 7 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105672160388 0.717454633888 0 5 6 6 0132 0132 0213 0132 0 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 -1 1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629151613499 0.441552581134 4 0 6 7 1023 0132 1230 0132 1 1 0 0 0 0 0 0 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 1 0 -1 -1 0 -1 2 7 -7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493251561621 0.672659166558 8 5 9 0 0132 1023 0132 0132 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455569272446 0.495560534528 8 2 0 10 1023 1023 0132 0132 1 1 0 0 0 0 0 0 -1 0 0 1 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 1 -1 0 1 0 0 -1 0 -7 0 7 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135489046468 3.687630972590 3 1 11 11 1023 0132 0132 0321 0 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 1 -1 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935086068707 0.747380257731 8 1 1 2 2103 0213 0132 3012 0 1 1 0 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 -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 1.115342859847 1.327988840024 9 11 2 12 1302 3012 0132 0132 1 1 1 0 0 0 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 -1 1 0 0 0 -2 2 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500718947632 0.479633058301 3 4 6 12 0132 1023 2103 0321 1 1 0 0 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 -1 1 0 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 0.595162693307 0.352561745823 10 7 10 3 1230 2031 0132 0132 1 1 0 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244138509752 1.115453200736 12 9 4 9 0132 3012 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 -1 0 1 0 0 0 0 0 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077289327664 0.458482118813 7 5 12 5 1230 0321 2031 0132 0 1 0 1 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 -1 1 0 0 0 0 -6 6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347445862465 0.521562769263 10 8 7 11 0132 0321 0132 1302 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226154433031 1.714167593653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0101_12']), '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_11'], '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' : 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_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['c_0101_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9467474955/3457682*c_1100_0^5 + 112644655705/46678707*c_1100_0^4 + 13514227577/31119138*c_1100_0^3 - 1361961845/10373046*c_1100_0^2 + 16317334741/93357414*c_1100_0 + 1992916469/46678707, c_0011_0 - 1, c_0011_10 - 841185/75167*c_1100_0^5 - 607496/75167*c_1100_0^4 - 229768/75167*c_1100_0^3 - 188416/75167*c_1100_0^2 - 76943/75167*c_1100_0 - 28800/75167, c_0011_11 + 1778193/75167*c_1100_0^5 + 1706903/75167*c_1100_0^4 + 1000754/75167*c_1100_0^3 + 431887/75167*c_1100_0^2 - 10425/75167*c_1100_0 - 41067/75167, c_0011_6 - 1368495/75167*c_1100_0^5 - 1260935/75167*c_1100_0^4 - 993088/75167*c_1100_0^3 - 462471/75167*c_1100_0^2 - 156589/75167*c_1100_0 - 54707/75167, c_0011_7 - 409698/75167*c_1100_0^5 - 445968/75167*c_1100_0^4 - 7666/75167*c_1100_0^3 + 30584/75167*c_1100_0^2 + 167014/75167*c_1100_0 + 20607/75167, c_0011_9 + 103518/75167*c_1100_0^5 + 459360/75167*c_1100_0^4 + 522221/75167*c_1100_0^3 + 423747/75167*c_1100_0^2 + 68010/75167*c_1100_0 + 32243/75167, c_0101_0 - 1, c_0101_10 - 532818/75167*c_1100_0^5 + 74848/75167*c_1100_0^4 + 296286/75167*c_1100_0^3 + 220039/75167*c_1100_0^2 + 133061/75167*c_1100_0 + 30723/75167, c_0101_11 + 709074/75167*c_1100_0^5 + 974076/75167*c_1100_0^4 + 824144/75167*c_1100_0^3 + 505693/75167*c_1100_0^2 + 201180/75167*c_1100_0 + 36292/75167, c_0101_12 - 636336/75167*c_1100_0^5 - 384512/75167*c_1100_0^4 - 225935/75167*c_1100_0^3 - 203708/75167*c_1100_0^2 - 85283/75167*c_1100_0 - 1520/75167, c_0101_2 - 532818/75167*c_1100_0^5 + 74848/75167*c_1100_0^4 + 296286/75167*c_1100_0^3 + 220039/75167*c_1100_0^2 + 133061/75167*c_1100_0 + 30723/75167, c_1001_1 - 390096/75167*c_1100_0^5 - 1426144/75167*c_1100_0^4 - 833839/75167*c_1100_0^3 - 582618/75167*c_1100_0^2 - 92544/75167*c_1100_0 - 21752/75167, c_1100_0^6 + 76/81*c_1100_0^5 + 53/81*c_1100_0^4 + 8/27*c_1100_0^3 + 8/81*c_1100_0^2 + 1/81 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12255214/432193*c_1100_0^5 + 296410899/864386*c_1100_0^4 + 633399230/432193*c_1100_0^3 + 2142367289/864386*c_1100_0^2 + 996044597/864386*c_1100_0 - 135288299/864386, c_0011_0 - 1, c_0011_10 - 13/95*c_1100_0^5 - 26/19*c_1100_0^4 - 408/95*c_1100_0^3 - 368/95*c_1100_0^2 - 47/95*c_1100_0 - 222/95, c_0011_11 - 1/95*c_1100_0^5 - 3/19*c_1100_0^4 - 86/95*c_1100_0^3 - 9/5*c_1100_0^2 - 79/95*c_1100_0 - 89/95, c_0011_6 + 13/95*c_1100_0^5 + 25/19*c_1100_0^4 + 368/95*c_1100_0^3 + 313/95*c_1100_0^2 + 147/95*c_1100_0 + 77/95, c_0011_7 + 14/95*c_1100_0^5 + 28/19*c_1100_0^4 + 454/95*c_1100_0^3 + 484/95*c_1100_0^2 + 226/95*c_1100_0 + 261/95, c_0011_9 + 6/95*c_1100_0^5 + 8/19*c_1100_0^4 + 21/95*c_1100_0^3 - 189/95*c_1100_0^2 - 46/95*c_1100_0 - 61/95, c_0101_0 - 1, c_0101_10 + 14/95*c_1100_0^5 + 24/19*c_1100_0^4 + 294/95*c_1100_0^3 + 169/95*c_1100_0^2 + 151/95*c_1100_0 + 61/95, c_0101_11 + 54/95*c_1100_0^5 + 96/19*c_1100_0^4 + 1244/95*c_1100_0^3 + 759/95*c_1100_0^2 + 416/95*c_1100_0 + 366/95, c_0101_12 - 4/19*c_1100_0^5 - 32/19*c_1100_0^4 - 63/19*c_1100_0^3 + 4/19*c_1100_0^2 - 21/19*c_1100_0, c_0101_2 - 14/95*c_1100_0^5 - 24/19*c_1100_0^4 - 294/95*c_1100_0^3 - 169/95*c_1100_0^2 - 151/95*c_1100_0 - 61/95, c_1001_1 - 6/95*c_1100_0^5 - 12/19*c_1100_0^4 - 181/95*c_1100_0^3 - 126/95*c_1100_0^2 + 66/95*c_1100_0 - 44/95, c_1100_0^6 + 12*c_1100_0^5 + 51*c_1100_0^4 + 88*c_1100_0^3 + 56*c_1100_0^2 + 32*c_1100_0 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.560 seconds, Total memory usage: 32.09MB