Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 3137021892] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2990 geometric_solution 6.16906207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.412246441012 0.201863684954 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 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 0.631160679077 0.756216262864 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 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 1.124457313611 1.368848427783 5 2 6 1 3201 1230 0132 0132 0 0 0 0 0 0 0 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 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 1.124457313611 1.368848427783 6 2 6 5 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341266584799 0.773990973448 6 4 2 3 1302 1302 0132 2310 0 0 0 0 0 0 -1 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517400854921 0.528274512348 4 5 4 3 2310 2031 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341266584799 0.773990973448 ==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' : 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' : 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_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 411922797/47866480*c_0101_6^17 + 911268947/23933240*c_0101_6^15 + 4495324681/23933240*c_0101_6^13 - 10701673039/47866480*c_0101_6^11 + 4679716516/2991655*c_0101_6^9 - 141217927639/47866480*c_0101_6^7 + 12527668133/5983310*c_0101_6^5 - 14294889917/23933240*c_0101_6^3 + 154198856/2991655*c_0101_6, c_0011_0 - 1, c_0011_1 + 1245373/2393324*c_0101_6^16 + 1576117/598331*c_0101_6^14 + 15504221/1196662*c_0101_6^12 - 13526219/2393324*c_0101_6^10 + 106525661/1196662*c_0101_6^8 - 288160135/2393324*c_0101_6^6 + 42561263/1196662*c_0101_6^4 + 9725339/1196662*c_0101_6^2 - 2001820/598331, c_0011_3 - 884978/598331*c_0101_6^17 - 3794154/598331*c_0101_6^15 - 18742497/598331*c_0101_6^13 + 25832125/598331*c_0101_6^11 - 163066470/598331*c_0101_6^9 + 325351565/598331*c_0101_6^7 - 250576350/598331*c_0101_6^5 + 84304817/598331*c_0101_6^3 - 11198451/598331*c_0101_6, c_0011_6 + 451099/1196662*c_0101_6^16 + 1234226/598331*c_0101_6^14 + 6070367/598331*c_0101_6^12 - 391845/1196662*c_0101_6^10 + 37364956/598331*c_0101_6^8 - 71294507/1196662*c_0101_6^6 - 8213489/598331*c_0101_6^4 + 16296325/598331*c_0101_6^2 - 3858986/598331, c_0101_0 + 2663503/2393324*c_0101_6^16 + 6025419/1196662*c_0101_6^14 + 29813141/1196662*c_0101_6^12 - 61819329/2393324*c_0101_6^10 + 121231807/598331*c_0101_6^8 - 868852485/2393324*c_0101_6^6 + 152591693/598331*c_0101_6^4 - 99179997/1196662*c_0101_6^2 + 6540263/598331, c_0101_3 + c_0101_6, c_0101_6^18 + 4*c_0101_6^16 + 20*c_0101_6^14 - 35*c_0101_6^12 + 194*c_0101_6^10 - 421*c_0101_6^8 + 398*c_0101_6^6 - 188*c_0101_6^4 + 44*c_0101_6^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB