Magma V2.19-8 Tue Aug 20 2013 23:45:28 on localhost [Seed = 2412374602] Type ? for help. Type -D to quit. Loading file "K13n3002__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3002 geometric_solution 11.02007177 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 3 0 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303435053505 1.608748375291 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 -2 0 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076765794106 1.078464053018 8 0 9 4 0132 0132 0132 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 -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 0.348099358757 0.659065902260 9 10 8 0 0321 0132 0321 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 0 0 0 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076765794106 1.078464053018 2 6 0 5 3012 1302 0132 1302 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348099358757 0.659065902260 8 1 4 11 1023 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203280387988 0.871809804382 9 9 1 4 1023 1230 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -3 0 3 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457072276431 0.659613490861 10 11 11 1 2031 2031 0132 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 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284954251355 0.661876491846 2 5 3 10 0132 1023 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571201135483 0.625036390068 3 6 6 2 0321 1023 3012 0132 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 1 -1 -1 0 1 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 0.743878790026 0.903752864638 8 3 7 11 3012 0132 1302 2031 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 1 0 -1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032071458905 1.193055186353 7 10 5 7 1302 1302 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 0 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 1.538274107433 0.613809816124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_7']), '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_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' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_1010_4']), 'c_1100_6' : negation(d['c_1010_4']), 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0110_4'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1010_4']), 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : negation(d['c_0011_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'], '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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], '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' : negation(d['c_0011_6']), 'c_1100_9' : d['c_0110_4'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_5, c_0101_7, c_0110_4, c_0110_6, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 7753727/41877*c_1010_4^5 - 85063892/125631*c_1010_4^4 - 166673812/125631*c_1010_4^3 - 97119431/125631*c_1010_4^2 - 10161202/41877*c_1010_4 + 17034802/125631, c_0011_0 - 1, c_0011_10 - c_1010_4, c_0011_11 - 303/517*c_1010_4^5 - 866/517*c_1010_4^4 - 1560/517*c_1010_4^3 - 269/517*c_1010_4^2 - 311/517*c_1010_4 + 186/517, c_0011_4 - 159/517*c_1010_4^5 - 608/517*c_1010_4^4 - 1223/517*c_1010_4^3 - 996/517*c_1010_4^2 - 844/517*c_1010_4 - 230/517, c_0011_6 - c_1010_4 - 1, c_0011_7 + 96/517*c_1010_4^5 + 689/517*c_1010_4^4 + 1431/517*c_1010_4^3 + 1411/517*c_1010_4^2 - 183/517*c_1010_4 - 105/517, c_0101_1 - 159/517*c_1010_4^5 - 608/517*c_1010_4^4 - 1223/517*c_1010_4^3 - 996/517*c_1010_4^2 - 327/517*c_1010_4 + 287/517, c_0101_5 + 1, c_0101_7 + 147/517*c_1010_4^5 + 328/517*c_1010_4^4 + 204/517*c_1010_4^3 - 796/517*c_1010_4^2 + 156/517*c_1010_4 - 80/517, c_0110_4 - 159/517*c_1010_4^5 - 608/517*c_1010_4^4 - 1223/517*c_1010_4^3 - 996/517*c_1010_4^2 - 844/517*c_1010_4 - 230/517, c_0110_6 + 144/517*c_1010_4^5 + 258/517*c_1010_4^4 + 337/517*c_1010_4^3 - 727/517*c_1010_4^2 - 16/517*c_1010_4 - 416/517, c_1010_4^6 + 10/3*c_1010_4^5 + 6*c_1010_4^4 + 2*c_1010_4^3 + 1/3*c_1010_4^2 - 2/3*c_1010_4 + 1/3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_5, c_0101_7, c_0110_4, c_0110_6, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 26649/53*c_1010_4^5 + 45742/53*c_1010_4^4 - 304586/53*c_1010_4^3 + 389991/53*c_1010_4^2 - 211656/53*c_1010_4 + 73320/53, c_0011_0 - 1, c_0011_10 - c_1010_4, c_0011_11 + 43/53*c_1010_4^5 - 56/53*c_1010_4^4 + 472/53*c_1010_4^3 - 441/53*c_1010_4^2 + 239/53*c_1010_4 - 74/53, c_0011_4 + 13/53*c_1010_4^5 - 12/53*c_1010_4^4 + 139/53*c_1010_4^3 - 68/53*c_1010_4^2 + 2/53*c_1010_4 + 22/53, c_0011_6 + c_1010_4 - 1, c_0011_7 + 44/53*c_1010_4^5 - 61/53*c_1010_4^4 + 499/53*c_1010_4^3 - 487/53*c_1010_4^2 + 337/53*c_1010_4 - 109/53, c_0101_1 - 13/53*c_1010_4^5 + 12/53*c_1010_4^4 - 139/53*c_1010_4^3 + 68/53*c_1010_4^2 - 55/53*c_1010_4 + 31/53, c_0101_5 + 1, c_0101_7 + 9/53*c_1010_4^5 + 8/53*c_1010_4^4 + 84/53*c_1010_4^3 + 116/53*c_1010_4^2 - 72/53*c_1010_4 + 56/53, c_0110_4 + 13/53*c_1010_4^5 - 12/53*c_1010_4^4 + 139/53*c_1010_4^3 - 68/53*c_1010_4^2 + 2/53*c_1010_4 + 22/53, c_0110_6 + 30/53*c_1010_4^5 - 44/53*c_1010_4^4 + 333/53*c_1010_4^3 - 373/53*c_1010_4^2 + 184/53*c_1010_4 - 96/53, c_1010_4^6 - 2*c_1010_4^5 + 12*c_1010_4^4 - 18*c_1010_4^3 + 13*c_1010_4^2 - 6*c_1010_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.000 Total time: 1.199 seconds, Total memory usage: 32.09MB