Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 391547489] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3024 geometric_solution 6.19500484 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953384788926 1.255181996145 0 4 5 2 0132 0132 0132 1302 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 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 0.694004845077 0.577456181861 4 0 1 6 3201 0132 2031 0132 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 -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 0.694004845077 0.577456181861 0 3 3 0 3201 1230 3012 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349772360876 0.297268107610 5 1 6 2 1230 0132 2103 2310 0 0 0 0 0 1 -1 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 -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 0.523906251525 0.575636146052 6 4 6 1 1302 3012 2031 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 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 0.395939308229 0.757687993658 4 5 2 5 2103 2031 0132 1302 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 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 0 0 0 0 0.395939308229 0.757687993658 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 168114576/4961*c_0101_4^15 + 701695576/4961*c_0101_4^13 - 132614158/451*c_0101_4^11 + 1999666170/4961*c_0101_4^9 - 7734873295/19844*c_0101_4^7 + 5152618745/19844*c_0101_4^5 - 8611640173/79376*c_0101_4^3 + 407029785/19844*c_0101_4, c_0011_0 - 1, c_0011_3 - 15432/451*c_0101_4^14 + 70184/451*c_0101_4^12 - 14107/41*c_0101_4^10 + 447721/902*c_0101_4^8 - 1819869/3608*c_0101_4^6 + 2567405/7216*c_0101_4^4 - 288999/1804*c_0101_4^2 + 15656/451, c_0011_5 + 14252/451*c_0101_4^15 - 61836/451*c_0101_4^13 + 24225/82*c_0101_4^11 - 750995/1804*c_0101_4^9 + 2988855/7216*c_0101_4^7 - 4127295/14432*c_0101_4^5 + 224813/1804*c_0101_4^3 - 22849/902*c_0101_4, c_0011_6 + 14252/451*c_0101_4^15 - 61836/451*c_0101_4^13 + 24225/82*c_0101_4^11 - 750995/1804*c_0101_4^9 + 2988855/7216*c_0101_4^7 - 4127295/14432*c_0101_4^5 + 224813/1804*c_0101_4^3 - 22849/902*c_0101_4, c_0101_0 + 19080/451*c_0101_4^14 - 84104/451*c_0101_4^12 + 16595/41*c_0101_4^10 - 516665/902*c_0101_4^8 + 2063701/3608*c_0101_4^6 - 2853117/7216*c_0101_4^4 + 77963/451*c_0101_4^2 - 16174/451, c_0101_1 - 9424/451*c_0101_4^14 + 39568/451*c_0101_4^12 - 7630/41*c_0101_4^10 + 117165/451*c_0101_4^8 - 462577/1804*c_0101_4^6 + 637089/3608*c_0101_4^4 - 70691/902*c_0101_4^2 + 7577/451, c_0101_4^16 - 5*c_0101_4^14 + 97/8*c_0101_4^12 - 305/16*c_0101_4^10 + 1365/64*c_0101_4^8 - 2197/128*c_0101_4^6 + 305/32*c_0101_4^4 - 13/4*c_0101_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB