Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 3566553116] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2319 geometric_solution 5.71267112 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 0.464318978130 0.240053782091 2 0 3 0 0132 2310 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 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 0.836235545654 0.638562714839 1 4 3 5 0132 0132 3012 0132 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 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 0.978456812369 1.067131357842 5 2 4 1 3201 1230 1023 0132 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 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 0.978456812369 1.067131357842 6 2 3 6 0132 0132 1023 3201 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 0 0 0 1 0 -1 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 0.198158103558 0.585736259914 5 5 2 3 1302 2031 0132 2310 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 0 0 0 0 0.696228135549 0.930497831676 4 4 6 6 0132 2310 1230 3012 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 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 0 0 2.021671418998 0.749714112585 ==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' : negation(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' : negation(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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_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_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9/7*c_0101_6^5 - 60/7*c_0101_6^3 + 14*c_0101_6, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 + 1, c_0011_5 + c_0101_6^4 - 3*c_0101_6^2 + 1, c_0101_0 + c_0101_6, c_0101_3 + c_0101_6^3 - 2*c_0101_6, c_0101_6^6 - 7*c_0101_6^4 + 14*c_0101_6^2 - 7 ], 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_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 1354876304201444365/105407863627411264*c_0101_6^21 - 4140387060674325233/26351965906852816*c_0101_6^19 + 34468335455966581963/105407863627411264*c_0101_6^17 + 10587909938219059305/52703931813705632*c_0101_6^15 + 497371340190132754811/105407863627411264*c_0101_6^13 - 842416244095990618127/105407863627411264*c_0101_6^11 + 106515034455248350595/52703931813705632*c_0101_6^9 + 481633771260610738703/105407863627411264*c_0101_6^7 - 60919032955294785297/26351965906852816*c_0101_6^5 - 224043754024405458655/105407863627411264*c_0101_6^3 + 114555513903170044499/105407863627411264*c_0101_6, c_0011_0 - 1, c_0011_1 + 90656345274182/1646997869178301*c_0101_6^20 - 1043997643993016/1646997869178301*c_0101_6^18 + 1586228246988014/1646997869178301*c_0101_6^16 + 2325333598399607/1646997869178301*c_0101_6^14 + 35228614581729356/1646997869178301*c_0101_6^12 - 30844964305631009/1646997869178301*c_0101_6^10 - 410913632396908/1646997869178301*c_0101_6^8 + 25949967067066095/1646997869178301*c_0101_6^6 - 1169325932954870/1646997869178301*c_0101_6^4 - 7179031227165375/1646997869178301*c_0101_6^2 + 1770670100850687/1646997869178301, c_0011_3 - 303151738614452/1646997869178301*c_0101_6^20 + 3494000067093087/1646997869178301*c_0101_6^18 - 5314038683600244/1646997869178301*c_0101_6^16 - 7985006895165126/1646997869178301*c_0101_6^14 - 117487562438118566/1646997869178301*c_0101_6^12 + 105349782429055971/1646997869178301*c_0101_6^10 + 9661240698350623/1646997869178301*c_0101_6^8 - 90328685534235121/1646997869178301*c_0101_6^6 - 8066974074849813/1646997869178301*c_0101_6^4 + 35324741745399625/1646997869178301*c_0101_6^2 - 5579648516996281/1646997869178301, c_0011_5 + 162073894938429/1646997869178301*c_0101_6^20 - 1857772803317401/1646997869178301*c_0101_6^18 + 2742359558249767/1646997869178301*c_0101_6^16 + 4232168679426409/1646997869178301*c_0101_6^14 + 63365660271567415/1646997869178301*c_0101_6^12 - 51801037433845133/1646997869178301*c_0101_6^10 - 1061523464083187/1646997869178301*c_0101_6^8 + 43085088802183058/1646997869178301*c_0101_6^6 + 5186527347700076/1646997869178301*c_0101_6^4 - 16548906340556547/1646997869178301*c_0101_6^2 + 1690005502701255/1646997869178301, c_0101_0 - 112980586634141/3293995738356602*c_0101_6^21 + 630669861136282/1646997869178301*c_0101_6^19 - 1518042905159843/3293995738356602*c_0101_6^17 - 1787773069281239/1646997869178301*c_0101_6^15 - 45259276643963531/3293995738356602*c_0101_6^13 + 23598317057482811/3293995738356602*c_0101_6^11 + 7600580044664207/1646997869178301*c_0101_6^9 - 20718738543797173/3293995738356602*c_0101_6^7 - 10875042987504947/1646997869178301*c_0101_6^5 + 10698815630884433/3293995738356602*c_0101_6^3 + 5166805553644043/3293995738356602*c_0101_6, c_0101_3 + 473615714802015/1646997869178301*c_0101_6^21 - 5474101024017187/1646997869178301*c_0101_6^19 + 8495133343416244/1646997869178301*c_0101_6^17 + 12038390214260007/1646997869178301*c_0101_6^15 + 183283840058262362/1646997869178301*c_0101_6^13 - 169927097065679520/1646997869178301*c_0101_6^11 - 3506810999526777/1646997869178301*c_0101_6^9 + 140692353575572917/1646997869178301*c_0101_6^7 + 2236579525554887/1646997869178301*c_0101_6^5 - 51469307310390314/1646997869178301*c_0101_6^3 + 8836597938874190/1646997869178301*c_0101_6, c_0101_6^22 - 12*c_0101_6^20 + 23*c_0101_6^18 + 18*c_0101_6^16 + 375*c_0101_6^14 - 531*c_0101_6^12 + 134*c_0101_6^10 + 315*c_0101_6^8 - 124*c_0101_6^6 - 123*c_0101_6^4 + 71*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB