Magma V2.19-8 Wed Aug 21 2013 00:53:13 on localhost [Seed = 2648410122] Type ? for help. Type -D to quit. Loading file "L12n1368__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1368 geometric_solution 11.42556178 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 0 0 1 1 0 1 0 -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 -2 -1 3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662380776871 0.677702804248 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 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 3 -3 0 0 0 0 0 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594892367804 0.301401339720 7 0 9 8 0132 0132 0132 0132 0 0 1 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 2 -2 0 1 0 -1 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193622299573 1.170459575847 10 11 7 0 0132 0132 1023 0132 0 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857298711808 1.056056828706 9 10 0 5 0132 0132 0132 1023 0 0 1 1 0 -1 1 0 1 0 0 -1 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 3 -3 0 -2 0 0 2 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857298711808 1.056056828706 8 1 11 4 1023 0132 1023 1023 0 0 1 1 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 0 2 -2 0 0 0 0 0 -3 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757783489680 0.431818153686 8 12 1 11 0132 0132 0132 1023 0 0 1 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 0 0 0 0 0 0 0 -3 3 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 0.662380776871 0.677702804248 2 12 3 1 0132 1023 1023 0132 0 0 1 1 0 -1 0 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 3 0 -3 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757783489680 0.431818153686 6 5 2 10 0132 1023 0132 0132 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 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 0.857298711808 1.056056828706 4 11 12 2 0132 1023 0132 0132 0 0 1 1 0 1 0 -1 -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 -2 0 2 2 0 -3 1 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.664972047600 0.906508298531 3 4 8 12 0132 0132 0132 0132 0 0 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253529189465 0.316115231014 9 3 5 6 1023 0132 1023 1023 0 0 1 1 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 0 0 0 2 0 -2 0 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193622299573 1.170459575847 7 6 10 9 1023 0132 0132 0132 0 0 1 1 0 -1 1 0 1 0 0 -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 3 -3 0 -3 0 0 3 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857298711808 1.056056828706 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0110_5'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0110_11'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0110_11'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : 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_0'], '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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_0110_11'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1100_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_1100_10'], '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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0101_9, c_0110_11, c_0110_5, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 6912, c_0011_0 - 1, c_0011_10 - 3*c_1100_10 - 5/4, c_0101_0 - 1, c_0101_1 - 2*c_1100_10 - 1/3, c_0101_11 + 2*c_1100_10 + 1/2, c_0101_12 + 4*c_1100_10 + 7/6, c_0101_5 + 2*c_1100_10 + 1/2, c_0101_7 - 2*c_1100_10 - 1/3, c_0101_9 + 1/6, c_0110_11 - 1/2, c_0110_5 - 4*c_1100_10 - 1/2, c_1100_0 - 1/3, c_1100_10^2 + 5/12*c_1100_10 + 1/12 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0101_9, c_0110_11, c_0110_5, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 76928/441*c_1100_10^3 + 14912/63*c_1100_10^2 - 1376/21*c_1100_10 - 22256/441, c_0011_0 - 1, c_0011_10 - 2*c_1100_10^2 + 1/2, c_0101_0 - 1, c_0101_1 - 2*c_1100_10^3 + c_1100_10^2 + 1/2*c_1100_10 - 1/4, c_0101_11 - 2*c_1100_10^3 + c_1100_10^2 + 1/2*c_1100_10 - 1/4, c_0101_12 + 2*c_1100_10^2 - c_1100_10 - 1, c_0101_5 - 2*c_1100_10^3 + c_1100_10^2 + 1/2*c_1100_10 - 1/4, c_0101_7 - 2*c_1100_10^3 + c_1100_10^2 + 1/2*c_1100_10 - 1/4, c_0101_9 + 2*c_1100_10^3 - c_1100_10^2 + 1/2*c_1100_10 - 1/4, c_0110_11 - 2*c_1100_10^3 + 3*c_1100_10^2 - 1/2*c_1100_10 - 1/4, c_0110_5 + 2*c_1100_10^2 - c_1100_10 - 1, c_1100_0 - 2*c_1100_10^3 + 2*c_1100_10^2 - 1/2*c_1100_10, c_1100_10^4 - c_1100_10^3 + 1/4*c_1100_10 + 3/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB