Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2050746008] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2054 geometric_solution 5.58072228 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613661342779 0.113013600930 0 2 0 3 0132 0132 1023 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 0.752350615125 0.334442859679 4 1 5 3 0132 0132 0132 1230 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 1 0 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 0.718327887838 0.745208283367 2 6 1 6 3012 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 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 0.718327887838 0.745208283367 2 5 5 6 0132 1023 3120 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 0 0 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 -0.154116933406 0.773450480454 4 6 4 2 1023 0321 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.420356683145 1.011854112831 3 3 4 5 3012 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443805578443 1.174158104333 ==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' : negation(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' : negation(d['1']), 's_2_3' : 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' : negation(d['1']), 's_1_3' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 492058947/5245046048*c_1001_2^10 + 7926091033/5245046048*c_1001_2^9 - 56597196633/5245046048*c_1001_2^8 + 244351932293/5245046048*c_1001_2^7 - 716185528595/5245046048*c_1001_2^6 + 1504061448863/5245046048*c_1001_2^5 - 2317296621073/5245046048*c_1001_2^4 + 2618168858853/5245046048*c_1001_2^3 - 2108779127117/5245046048*c_1001_2^2 + 1117338832331/5245046048*c_1001_2 - 274140919/4617118, c_0011_0 - 1, c_0011_3 + 2956/19079*c_1001_2^10 - 89733/38158*c_1001_2^9 + 301959/19079*c_1001_2^8 - 2476663/38158*c_1001_2^7 + 6918437/38158*c_1001_2^6 - 13870497/38158*c_1001_2^5 + 20383577/38158*c_1001_2^4 - 10952289/19079*c_1001_2^3 + 16691579/38158*c_1001_2^2 - 8302045/38158*c_1001_2 + 2104689/38158, c_0101_0 + 7287/38158*c_1001_2^10 - 55913/19079*c_1001_2^9 + 377871/19079*c_1001_2^8 - 3087743/38158*c_1001_2^7 + 8572547/38158*c_1001_2^6 - 8547070/19079*c_1001_2^5 + 12548139/19079*c_1001_2^4 - 13566412/19079*c_1001_2^3 + 20995825/38158*c_1001_2^2 - 10762207/38158*c_1001_2 + 2888533/38158, c_0101_1 + 1234/19079*c_1001_2^10 - 38531/38158*c_1001_2^9 + 263727/38158*c_1001_2^8 - 542450/19079*c_1001_2^7 + 3024549/38158*c_1001_2^6 - 6036865/38158*c_1001_2^5 + 8862415/38158*c_1001_2^4 - 9588101/38158*c_1001_2^3 + 3726315/19079*c_1001_2^2 - 3848545/38158*c_1001_2 + 1039599/38158, c_0101_2 - 1309/76316*c_1001_2^10 + 8761/38158*c_1001_2^9 - 48305/38158*c_1001_2^8 + 73700/19079*c_1001_2^7 - 256197/38158*c_1001_2^6 + 87137/19079*c_1001_2^5 + 291285/38158*c_1001_2^4 - 980375/38158*c_1001_2^3 + 681481/19079*c_1001_2^2 - 1082727/38158*c_1001_2 + 880685/76316, c_0101_5 + 4275/76316*c_1001_2^10 - 15698/19079*c_1001_2^9 + 101011/19079*c_1001_2^8 - 391722/19079*c_1001_2^7 + 2044115/38158*c_1001_2^6 - 3787295/38158*c_1001_2^5 + 2553957/19079*c_1001_2^4 - 2513691/19079*c_1001_2^3 + 1757333/19079*c_1001_2^2 - 1613351/38158*c_1001_2 + 771619/76316, c_1001_2^11 - 17*c_1001_2^10 + 130*c_1001_2^9 - 608*c_1001_2^8 + 1954*c_1001_2^7 - 4566*c_1001_2^6 + 7974*c_1001_2^5 - 10490*c_1001_2^4 + 10280*c_1001_2^3 - 7230*c_1001_2^2 + 3337*c_1001_2 - 781 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB