Magma V2.19-8 Wed Aug 21 2013 00:23:10 on localhost [Seed = 223027093] Type ? for help. Type -D to quit. Loading file "K14n12220__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12220 geometric_solution 11.62959093 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 0 0 1 2 1230 3012 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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977985797960 0.750776214653 3 4 5 0 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 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 0.479532061223 0.614372033841 4 3 0 6 2310 3201 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 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 1.198637490258 0.646614739898 1 7 2 6 0132 0132 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.552627776739 0.791959223446 8 1 2 8 0132 0132 3201 2103 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 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315910852903 0.885028666772 9 10 11 1 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 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 0.598459792694 0.355461293714 3 12 2 9 3120 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 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 0.597680087340 0.514650058649 8 3 11 12 1023 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.567719665466 1.393365385884 4 7 9 4 0132 1023 0213 2103 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 -2 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315910852903 0.885028666772 5 8 6 10 0132 0213 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528661040382 0.578765314628 9 5 11 12 3120 0132 3120 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863505911386 1.061021185745 7 12 10 5 2031 1230 3120 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 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 1.446201572091 1.231492889100 10 6 11 7 3012 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.722090031041 0.474426763099 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0110_7'], 'c_1001_10' : negation(d['c_0110_7']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0110_7']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : 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_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_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0110_7']), 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0110_7'], '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' : negation(d['c_0110_7']), '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_1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], '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' : d['c_0011_12'], 'c_0110_8' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0110_7'], '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_1, c_0011_10, c_0011_11, c_0011_12, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5371377623/494214*c_0110_7*c_1001_3^4 - 22363435411/494214*c_0110_7*c_1001_3^3 - 6840158446/247107*c_0110_7*c_1001_3^2 - 7521462913/247107*c_0110_7*c_1001_3 + 5791801885/247107*c_0110_7 + 268771932/82369*c_1001_3^4 + 1467355335/164738*c_1001_3^3 - 2182522087/164738*c_1001_3^2 - 1018821880/82369*c_1001_3 - 2447019762/82369, c_0011_0 - 1, c_0011_1 + c_0110_7 - 2/11*c_1001_3^4 - 12/11*c_1001_3^3 - 17/11*c_1001_3^2 - 7/11*c_1001_3 + 1/11, c_0011_10 + 1/11*c_1001_3^4 + 6/11*c_1001_3^3 + 3/11*c_1001_3^2 - 2/11*c_1001_3 + 5/11, c_0011_11 - 1/11*c_1001_3^4 - 6/11*c_1001_3^3 - 3/11*c_1001_3^2 + 2/11*c_1001_3 - 5/11, c_0011_12 + 5/11*c_0110_7*c_1001_3^4 + 19/11*c_0110_7*c_1001_3^3 + 4/11*c_0110_7*c_1001_3^2 + 12/11*c_0110_7*c_1001_3 - 8/11*c_0110_7 - 4/11*c_1001_3^4 - 13/11*c_1001_3^3 - 1/11*c_1001_3^2 + 8/11*c_1001_3 + 2/11, c_0011_2 - 2/11*c_1001_3^4 - 12/11*c_1001_3^3 - 17/11*c_1001_3^2 - 7/11*c_1001_3 + 1/11, c_0101_0 - 5/11*c_1001_3^4 - 19/11*c_1001_3^3 - 4/11*c_1001_3^2 - 1/11*c_1001_3 + 8/11, c_0101_1 - 5/11*c_0110_7*c_1001_3^4 - 19/11*c_0110_7*c_1001_3^3 - 4/11*c_0110_7*c_1001_3^2 - 12/11*c_0110_7*c_1001_3 + 8/11*c_0110_7 + 4/11*c_1001_3^4 + 13/11*c_1001_3^3 + 1/11*c_1001_3^2 + 3/11*c_1001_3 - 2/11, c_0101_10 + c_1001_3, c_0101_11 + 5/11*c_0110_7*c_1001_3^4 + 19/11*c_0110_7*c_1001_3^3 + 4/11*c_0110_7*c_1001_3^2 + 12/11*c_0110_7*c_1001_3 - 8/11*c_0110_7 - 4/11*c_1001_3^4 - 13/11*c_1001_3^3 - 1/11*c_1001_3^2 - 3/11*c_1001_3 + 2/11, c_0101_12 - c_0110_7 + 2/11*c_1001_3^4 + 12/11*c_1001_3^3 + 17/11*c_1001_3^2 + 7/11*c_1001_3 - 1/11, c_0110_7^2 - 6/11*c_0110_7*c_1001_3^4 - 36/11*c_0110_7*c_1001_3^3 - 40/11*c_0110_7*c_1001_3^2 - 10/11*c_0110_7*c_1001_3 - 8/11*c_0110_7 + 2/11*c_1001_3^4 + 1/11*c_1001_3^3 + 6/11*c_1001_3^2 - 4/11*c_1001_3 - 1/11, c_1001_3^5 + 4*c_1001_3^4 + 2*c_1001_3^3 + 3*c_1001_3^2 - 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13.440 Total time: 13.650 seconds, Total memory usage: 82.00MB