Magma V2.19-8 Tue Aug 20 2013 18:10:23 on localhost [Seed = 3768671231] Type ? for help. Type -D to quit. Loading file "10^2_54__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_54 geometric_solution 14.22666869 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 2031 0132 0 0 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 1 0 -1 0 0 0 0 -10 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388618648402 0.481829107782 0 3 5 4 0132 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672247778938 1.003495886824 3 0 6 0 3012 0132 0132 1302 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 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 1.008969283416 0.795167808663 6 1 0 2 1023 2103 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385727170943 1.604599788204 7 6 1 8 0132 2031 0132 0132 0 0 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 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097197802556 0.775607087240 6 9 10 1 2031 0132 0132 0132 0 0 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 0 -1 -1 0 1 0 0 -10 0 10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097197802556 0.775607087240 4 3 5 2 1302 1023 1302 0132 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 1 -1 0 0 -1 1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539215799794 0.687834254135 4 9 11 10 0132 1023 0132 3120 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 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 0.416163911054 1.087100864545 12 9 4 10 0132 0213 0132 0132 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 0 -1 0 1 -1 10 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416163911054 1.087100864545 7 5 8 13 1023 0132 0213 0132 0 1 0 0 0 0 0 0 0 0 1 -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 -1 0 1 -1 0 1 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416163911054 1.087100864545 7 14 8 5 3120 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 1 -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 0.416163911054 1.087100864545 12 13 14 7 3120 1023 2103 0132 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 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 0.500000000000 0.500000000000 8 13 14 11 0132 0321 0132 3120 0 0 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 -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 0.500000000000 0.500000000000 11 14 9 12 1023 0213 0132 0321 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 -1 1 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 0.500000000000 0.500000000000 11 10 13 12 2103 0132 0213 0132 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 0 0 0 0 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 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_1001_13'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_13'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_13'], 'c_1010_14' : d['c_1001_10'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : negation(d['c_0011_10']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(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_13' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : negation(d['c_0011_10']), 'c_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1100_14' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_1'], 'c_1100_13' : d['c_1001_10'], 's_3_10' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_3'], '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_0101_7'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_7'], 'c_0110_14' : d['c_0101_10'], 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : d['c_0101_10'], 's_0_8' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_7'], 's_2_8' : negation(d['1']), 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_2, c_1001_10, c_1001_13, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9667/722700*c_0110_2*c_1100_1^4 - 8381/361350*c_0110_2*c_1100_1^3 - 30643/481800*c_0110_2*c_1100_1^2 + 487/180675*c_0110_2*c_1100_1 + 74807/722700*c_0110_2 + 2084/180675*c_1100_1^4 - 11783/1445400*c_1100_1^3 + 21419/481800*c_1100_1^2 - 173293/1445400*c_1100_1 + 29197/361350, c_0011_0 - 1, c_0011_10 - 3/73*c_0110_2*c_1100_1^4 - 2/73*c_0110_2*c_1100_1^3 + 6/73*c_0110_2*c_1100_1^2 + 59/73*c_0110_2*c_1100_1 + 43/73*c_0110_2, c_0011_11 + 7/73*c_0110_2*c_1100_1^4 + 29/73*c_0110_2*c_1100_1^3 + 59/73*c_0110_2*c_1100_1^2 + 57/73*c_0110_2*c_1100_1 - 3/73*c_0110_2 - 3/73*c_1100_1^4 - 2/73*c_1100_1^3 + 6/73*c_1100_1^2 + 59/73*c_1100_1 + 43/73, c_0011_12 + 1, c_0011_3 + 10/73*c_0110_2*c_1100_1^4 + 31/73*c_0110_2*c_1100_1^3 + 53/73*c_0110_2*c_1100_1^2 + 71/73*c_0110_2*c_1100_1 + 27/73*c_0110_2, c_0011_4 + c_1100_1, c_0101_0 + 10/73*c_0110_2*c_1100_1^4 + 31/73*c_0110_2*c_1100_1^3 + 53/73*c_0110_2*c_1100_1^2 + 71/73*c_0110_2*c_1100_1 + 27/73*c_0110_2, c_0101_1 + 10/73*c_1100_1^4 + 31/73*c_1100_1^3 + 53/73*c_1100_1^2 + 71/73*c_1100_1 - 46/73, c_0101_10 + 3/73*c_0110_2*c_1100_1^4 + 2/73*c_0110_2*c_1100_1^3 - 6/73*c_0110_2*c_1100_1^2 - 59/73*c_0110_2*c_1100_1 - 43/73*c_0110_2, c_0101_2 + 10/73*c_1100_1^4 + 31/73*c_1100_1^3 + 53/73*c_1100_1^2 + 71/73*c_1100_1 - 46/73, c_0101_7 - 6/73*c_1100_1^4 - 4/73*c_1100_1^3 + 12/73*c_1100_1^2 + 118/73*c_1100_1 + 86/73, c_0110_2^2 + 10/73*c_1100_1^4 + 31/73*c_1100_1^3 + 53/73*c_1100_1^2 + 71/73*c_1100_1 - 119/73, c_1001_10 - 1, c_1001_13 - 6/73*c_1100_1^4 - 4/73*c_1100_1^3 + 12/73*c_1100_1^2 + 118/73*c_1100_1 + 86/73, c_1100_1^5 + 2*c_1100_1^4 + 7*c_1100_1^3 + 2*c_1100_1^2 - 11 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_2, c_1001_10, c_1001_13, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 309/63040*c_0110_2*c_1100_1^5 - 1753/31520*c_0110_2*c_1100_1^4 - 6691/63040*c_0110_2*c_1100_1^3 + 671/31520*c_0110_2*c_1100_1^2 - 573/7880*c_0110_2*c_1100_1 - 5629/12608*c_0110_2 - 2373/31520*c_1100_1^5 - 3073/15760*c_1100_1^4 + 1121/31520*c_1100_1^3 - 55/3152*c_1100_1^2 - 6083/7880*c_1100_1 - 141/6304, c_0011_0 - 1, c_0011_10 + 41/394*c_0110_2*c_1100_1^5 + 56/197*c_0110_2*c_1100_1^4 + 59/394*c_0110_2*c_1100_1^3 + 27/197*c_0110_2*c_1100_1^2 + 241/197*c_0110_2*c_1100_1 + 191/394*c_0110_2, c_0011_11 - 1/788*c_0110_2*c_1100_1^5 - 35/394*c_0110_2*c_1100_1^4 + 37/788*c_0110_2*c_1100_1^3 + 57/394*c_0110_2*c_1100_1^2 - 63/197*c_0110_2*c_1100_1 + 447/788*c_0110_2 + 41/394*c_1100_1^5 + 56/197*c_1100_1^4 + 59/394*c_1100_1^3 + 27/197*c_1100_1^2 + 241/197*c_1100_1 + 191/394, c_0011_12 + 1, c_0011_3 - 6/197*c_0110_2*c_1100_1^5 - 26/197*c_0110_2*c_1100_1^4 + 25/197*c_0110_2*c_1100_1^3 + 93/197*c_0110_2*c_1100_1^2 - 133/197*c_0110_2*c_1100_1 + 121/197*c_0110_2, c_0011_4 + c_1100_1, c_0101_0 - 6/197*c_0110_2*c_1100_1^5 - 26/197*c_0110_2*c_1100_1^4 + 25/197*c_0110_2*c_1100_1^3 + 93/197*c_0110_2*c_1100_1^2 - 133/197*c_0110_2*c_1100_1 + 121/197*c_0110_2, c_0101_1 - 6/197*c_1100_1^5 - 26/197*c_1100_1^4 + 25/197*c_1100_1^3 + 93/197*c_1100_1^2 - 133/197*c_1100_1 - 76/197, c_0101_10 + 41/394*c_0110_2*c_1100_1^5 + 56/197*c_0110_2*c_1100_1^4 + 59/394*c_0110_2*c_1100_1^3 + 27/197*c_0110_2*c_1100_1^2 + 241/197*c_0110_2*c_1100_1 + 191/394*c_0110_2, c_0101_2 - 6/197*c_1100_1^5 - 26/197*c_1100_1^4 + 25/197*c_1100_1^3 + 93/197*c_1100_1^2 - 133/197*c_1100_1 - 76/197, c_0101_7 - 41/197*c_1100_1^5 - 112/197*c_1100_1^4 - 59/197*c_1100_1^3 - 54/197*c_1100_1^2 - 482/197*c_1100_1 - 191/197, c_0110_2^2 - 6/197*c_1100_1^5 - 26/197*c_1100_1^4 + 25/197*c_1100_1^3 + 93/197*c_1100_1^2 - 133/197*c_1100_1 - 273/197, c_1001_10 + 1, c_1001_13 - 41/197*c_1100_1^5 - 112/197*c_1100_1^4 - 59/197*c_1100_1^3 - 54/197*c_1100_1^2 - 482/197*c_1100_1 - 191/197, c_1100_1^6 + 3*c_1100_1^5 + c_1100_1^4 + c_1100_1^3 + 10*c_1100_1^2 + 5*c_1100_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB