Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2210537301] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1512 geometric_solution 5.31602635 oriented_manifold CS_known -0.0000000000000004 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450490880140 0.212927925422 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 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 0.735064649170 0.644682991845 1 4 3 5 0132 0132 3012 0132 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 -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 0.952107507585 1.208718707351 5 2 4 1 1023 1230 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952107507585 1.208718707351 3 2 6 6 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.757322160211 0.461317669990 5 3 2 5 3012 1023 0132 1230 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.254403318086 0.906665985059 6 4 4 6 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.286889459244 1.022443088106 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : 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' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : 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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(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' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_1'], '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_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 108326698244629699/169284610873664*c_0101_3^22 + 907470700372070151/84642305436832*c_0101_3^20 - 616443242624923301/7360200472768*c_0101_3^18 + 39259793539579813669/84642305436832*c_0101_3^16 - 14595317230299308839/7360200472768*c_0101_3^14 + 407388210568044678285/84642305436832*c_0101_3^12 - 72049604272686305491/15389510079424*c_0101_3^10 + 135230062123403531981/42321152718416*c_0101_3^8 - 256352513439174529589/169284610873664*c_0101_3^6 + 70791686503117199577/169284610873664*c_0101_3^4 - 9641682891722109647/169284610873664*c_0101_3^2 + 438257356311393877/169284610873664, c_0011_0 - 1, c_0011_1 + 248260173669385/169284610873664*c_0101_3^22 - 2110648941066123/84642305436832*c_0101_3^20 + 1456896064469515/7360200472768*c_0101_3^18 - 93849907709285687/84642305436832*c_0101_3^16 + 35283834131041981/7360200472768*c_0101_3^14 - 1022297851319957717/84642305436832*c_0101_3^12 + 201921828485964837/15389510079424*c_0101_3^10 - 388517665191371713/42321152718416*c_0101_3^8 + 789061537088766167/169284610873664*c_0101_3^6 - 240766282191956919/169284610873664*c_0101_3^4 + 36297459652991869/169284610873664*c_0101_3^2 - 1958198136806955/169284610873664, c_0011_3 + 655513665303485/169284610873664*c_0101_3^23 - 5497437346725421/84642305436832*c_0101_3^21 + 3739571063487715/7360200472768*c_0101_3^19 - 238449456357171627/84642305436832*c_0101_3^17 + 88756679700862025/7360200472768*c_0101_3^15 - 2487339217372471159/84642305436832*c_0101_3^13 + 446768620927237589/15389510079424*c_0101_3^11 - 855135582650232943/42321152718416*c_0101_3^9 + 1647024824808164123/169284610873664*c_0101_3^7 - 480064466269276879/169284610873664*c_0101_3^5 + 72544131982678929/169284610873664*c_0101_3^3 - 4058318481862419/169284610873664*c_0101_3, c_0011_6 + 136490524483821/84642305436832*c_0101_3^22 - 142672754855219/5290144089802*c_0101_3^20 + 773815830059273/3680100236384*c_0101_3^18 - 49211482526390687/42321152718416*c_0101_3^16 + 18268517897155261/3680100236384*c_0101_3^14 - 253705983716365659/21160576359208*c_0101_3^12 + 88298688141620339/7694755039712*c_0101_3^10 - 20587468148546672/2645072044901*c_0101_3^8 + 307433190833428423/84642305436832*c_0101_3^6 - 82941792983053189/84642305436832*c_0101_3^4 + 10585433972142225/84642305436832*c_0101_3^2 - 408012721054401/84642305436832, c_0101_0 + 781334363788031/169284610873664*c_0101_3^22 - 6547477050707963/84642305436832*c_0101_3^20 + 4448956881801849/7360200472768*c_0101_3^18 - 283377480096898729/84642305436832*c_0101_3^16 + 105359256229637587/7360200472768*c_0101_3^14 - 2942050562765938425/84642305436832*c_0101_3^12 + 520372099069511487/15389510079424*c_0101_3^10 - 969604106191158809/42321152718416*c_0101_3^8 + 1831529680922313785/169284610873664*c_0101_3^6 - 496811211979151709/169284610873664*c_0101_3^4 + 63784072184150683/169284610873664*c_0101_3^2 - 2518140239203753/169284610873664, c_0101_1 - 179631478033177/169284610873664*c_0101_3^22 + 1495987236812243/84642305436832*c_0101_3^20 - 1009764407278459/7360200472768*c_0101_3^18 + 64022940582035015/84642305436832*c_0101_3^16 - 23696091808349293/7360200472768*c_0101_3^14 + 651294466523896269/84642305436832*c_0101_3^12 - 109750154589054037/15389510079424*c_0101_3^10 + 206345252437710289/42321152718416*c_0101_3^8 - 378044352336898023/169284610873664*c_0101_3^6 + 101575828718500087/169284610873664*c_0101_3^4 - 13428937791546525/169284610873664*c_0101_3^2 + 475439243364379/169284610873664, c_0101_3^24 - 17*c_0101_3^22 + 135*c_0101_3^20 - 757*c_0101_3^18 + 3277*c_0101_3^16 - 8283*c_0101_3^14 + 9165*c_0101_3^12 - 6793*c_0101_3^10 + 3595*c_0101_3^8 - 1236*c_0101_3^6 + 250*c_0101_3^4 - 26*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB