Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3734979073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1803 geometric_solution 5.47117564 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520054800992 0.217514719421 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.063314771771 0.871480800554 4 1 5 3 0132 0132 0132 1230 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122337558470 0.897281017018 2 5 1 4 3012 1023 0132 1023 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 1.122337558470 0.897281017018 2 4 4 3 0132 3201 2310 1023 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007910013536 0.674160659851 3 6 6 2 1023 0132 3201 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 0.763394031307 0.286859689582 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.281705954844 0.777253361642 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], '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' : d['c_0011_3'], '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_6']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : 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' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1148227479604502/512363419733779*c_0101_6^19 + 28092097635790423/512363419733779*c_0101_6^17 - 48372111938191146/512363419733779*c_0101_6^15 - 127133696791865544/512363419733779*c_0101_6^13 - 118561259233334725/512363419733779*c_0101_6^11 + 464663778990273169/512363419733779*c_0101_6^9 + 213671678432604205/512363419733779*c_0101_6^7 - 193637802364157233/512363419733779*c_0101_6^5 - 80124553314247575/512363419733779*c_0101_6^3 + 3971381596934350/512363419733779*c_0101_6, c_0011_0 - 1, c_0011_3 + 2972735078068/17667704128751*c_0101_6^19 - 72630168150578/17667704128751*c_0101_6^17 + 122927403152442/17667704128751*c_0101_6^15 + 330126716047277/17667704128751*c_0101_6^13 + 323811579836782/17667704128751*c_0101_6^11 - 1177001893962642/17667704128751*c_0101_6^9 - 586051070969833/17667704128751*c_0101_6^7 + 422564383013405/17667704128751*c_0101_6^5 + 203963995218336/17667704128751*c_0101_6^3 + 49700587323153/17667704128751*c_0101_6, c_0101_0 + 229315177129766/17667704128751*c_0101_6^18 - 5736131342594557/17667704128751*c_0101_6^16 + 12809998311618093/17667704128751*c_0101_6^14 + 18293258951108570/17667704128751*c_0101_6^12 + 13753795365963425/17667704128751*c_0101_6^10 - 100050455149147154/17667704128751*c_0101_6^8 + 12589510575980437/17667704128751*c_0101_6^6 + 30901616601149143/17667704128751*c_0101_6^4 - 1156180932441090/17667704128751*c_0101_6^2 + 236455981733051/17667704128751, c_0101_1 + 242240209502770/17667704128751*c_0101_6^18 - 6058767329131979/17667704128751*c_0101_6^16 + 13514788058214047/17667704128751*c_0101_6^14 + 19371642424470085/17667704128751*c_0101_6^12 + 14562428658514768/17667704128751*c_0101_6^10 - 105681912916488118/17667704128751*c_0101_6^8 + 12971891266591505/17667704128751*c_0101_6^6 + 32836598524578862/17667704128751*c_0101_6^4 - 1114393997908809/17667704128751*c_0101_6^2 + 216129716496036/17667704128751, c_0101_2 - 14287780100892/17667704128751*c_0101_6^19 + 349466484691136/17667704128751*c_0101_6^17 - 600220271288695/17667704128751*c_0101_6^15 - 1571567684609021/17667704128751*c_0101_6^13 - 1511457558452910/17667704128751*c_0101_6^11 + 5713603288395048/17667704128751*c_0101_6^9 + 2640663163082185/17667704128751*c_0101_6^7 - 2175756614725204/17667704128751*c_0101_6^5 - 966699536767177/17667704128751*c_0101_6^3 - 54773584252505/17667704128751*c_0101_6, c_0101_5 - 294259170991378/17667704128751*c_0101_6^18 + 7359950728089445/17667704128751*c_0101_6^16 - 16420153825162780/17667704128751*c_0101_6^14 - 23518061019209531/17667704128751*c_0101_6^12 - 17697549368682325/17667704128751*c_0101_6^10 + 128366193370250671/17667704128751*c_0101_6^8 - 15822285680398709/17667704128751*c_0101_6^6 - 39755575152309842/17667704128751*c_0101_6^4 + 1329571453092587/17667704128751*c_0101_6^2 - 292141862018195/17667704128751, c_0101_6^20 - 49/2*c_0101_6^18 + 43*c_0101_6^16 + 217/2*c_0101_6^14 + 101*c_0101_6^12 - 811/2*c_0101_6^10 - 339/2*c_0101_6^8 + 163*c_0101_6^6 + 129/2*c_0101_6^4 - 3/2*c_0101_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB