Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 4054871506] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s323 geometric_solution 4.50502660 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0.298448308354 0.151905066223 2 0 3 0 0132 2310 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 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 0.040316638938 1.202617896718 1 3 4 3 0132 3201 0132 1230 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 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 0.287970351401 1.406922323708 2 4 2 1 3012 1023 2310 0132 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 0 0 0 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 0.287970351401 1.406922323708 3 5 5 2 1023 0132 3201 0132 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 -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 0.574694300136 0.238213867344 4 4 5 5 2310 0132 1230 3012 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 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 1.386431860453 0.796400271893 ==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_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_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' : d['1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_3'], '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_5' : d['c_0101_5'], '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' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3817470071614633903701279029/136899552111142570345575000*c_0101_5^1\ 5 + 245757268214682417809674199/3802765336420626954043750*c_0101_5^\ 14 + 199466421976343206546522175041/136899552111142570345575000*c_0\ 101_5^13 - 253052762062802037404095623619/6844977605557128517278750\ 0*c_0101_5^12 + 36143274239282407801390220023/228165920185237617242\ 62500*c_0101_5^11 + 3656583236853811623362494916/814878286375848633\ 009375*c_0101_5^10 - 111061628670825718656167206259/224425495264168\ 1481075000*c_0101_5^9 + 902976583882710975981876791553/760553067284\ 1253908087500*c_0101_5^8 - 14469113272040936790064241193649/1368995\ 52111142570345575000*c_0101_5^7 + 101736999824021828581102925659/38\ 02765336420626954043750*c_0101_5^6 + 1324988878811413469251597332919/68449776055571285172787500*c_0101_5\ ^5 - 2412781475475237331306426411703/136899552111142570345575000*c_\ 0101_5^4 + 9477426890468725385281077149/2244254952641681481075000*c\ _0101_5^3 + 19871370584982706981462188458/1711244401389282129319687\ 5*c_0101_5^2 - 7580628743176899239555269867/13689955211114257034557\ 500*c_0101_5 - 24058581726753976069227204997/1368995521111425703455\ 75000, c_0011_0 - 1, c_0011_1 + 77801532548733583722539/2444634859127545899028125*c_0101_5^1\ 5 - 57435005908739050814483/814878286375848633009375*c_0101_5^14 - 4022342482318108026460456/2444634859127545899028125*c_0101_5^13 + 9821421657585895013510333/2444634859127545899028125*c_0101_5^12 - 740705883306960684124637/271626095458616211003125*c_0101_5^11 - 938273294743060720567637/271626095458616211003125*c_0101_5^10 + 2281539089937386677680344/40075981297172883590625*c_0101_5^9 - 108503331512747480691183238/814878286375848633009375*c_0101_5^8 + 359843546369983845119598709/2444634859127545899028125*c_0101_5^7 - 64990911211343462876147678/814878286375848633009375*c_0101_5^6 - 21259162817097549438972308/2444634859127545899028125*c_0101_5^5 + 69788740386182472219890648/2444634859127545899028125*c_0101_5^4 - 521595353663921439325334/40075981297172883590625*c_0101_5^3 + 5618047429742929150225676/2444634859127545899028125*c_0101_5^2 + 908992189465792105982819/488926971825509179805625*c_0101_5 - 1274490787874579666647823/2444634859127545899028125, c_0011_3 + 2588973735070266964087/66071212408852591865625*c_0101_5^15 - 957308770262262479013/7341245823205843540625*c_0101_5^14 - 129823366884979430539373/66071212408852591865625*c_0101_5^13 + 481169032356985240229464/66071212408852591865625*c_0101_5^12 - 153843492196981255833763/22023737469617530621875*c_0101_5^11 - 113690595566173384765763/22023737469617530621875*c_0101_5^10 + 82329847667345495307652/1083134629653321178125*c_0101_5^9 - 1728195055195799849671068/7341245823205843540625*c_0101_5^8 + 19910774045319793463058572/66071212408852591865625*c_0101_5^7 - 1120806655282728383179033/7341245823205843540625*c_0101_5^6 - 741510456620335868466514/66071212408852591865625*c_0101_5^5 + 3302201689073066534949109/66071212408852591865625*c_0101_5^4 - 29280084681414803771572/1083134629653321178125*c_0101_5^3 + 238201276172933976770008/66071212408852591865625*c_0101_5^2 + 26438770888754961086827/13214242481770518373125*c_0101_5 - 13232065492060202805259/66071212408852591865625, c_0101_0 + 724216472255832598886539/2444634859127545899028125*c_0101_5^\ 15 - 186074203835086125924161/271626095458616211003125*c_0101_5^14 - 37840608271512337937938331/2444634859127545899028125*c_0101_5^13 + 95823033572480366874287083/2444634859127545899028125*c_0101_5^12 - 13718727528438624431563036/814878286375848633009375*c_0101_5^11 - 38989867070740508870388911/814878286375848633009375*c_0101_5^10 + 21088649828882615543727469/40075981297172883590625*c_0101_5^9 - 341966561028298735760748746/271626095458616211003125*c_0101_5^8 + 2741192367120047003855726459/2444634859127545899028125*c_0101_5^7 - 75077460513561170804675226/271626095458616211003125*c_0101_5^6 - 546711206911316458359830308/2444634859127545899028125*c_0101_5^5 + 478599322956392415587057398/2444634859127545899028125*c_0101_5^4 - 1738345584410447028037459/40075981297172883590625*c_0101_5^3 - 38412444696037597644004574/2444634859127545899028125*c_0101_5^2 + 4239103627995870536026819/488926971825509179805625*c_0101_5 + 4962886238843750936794802/2444634859127545899028125, c_0101_3 + 233001539791946097178469/2444634859127545899028125*c_0101_5^\ 15 - 144007034455247789658068/814878286375848633009375*c_0101_5^14 - 12397788060637515310370176/2444634859127545899028125*c_0101_5^13 + 25197289574126039241962168/2444634859127545899028125*c_0101_5^12 - 38675010507411224769202/271626095458616211003125*c_0101_5^11 - 4516856713255592340931577/271626095458616211003125*c_0101_5^10 + 6484328938376184394025999/40075981297172883590625*c_0101_5^9 - 268220230304992192136780548/814878286375848633009375*c_0101_5^8 + 469568993757531990226973164/2444634859127545899028125*c_0101_5^7 + 29872498320284847071934712/814878286375848633009375*c_0101_5^6 - 194302005513028283094523643/2444634859127545899028125*c_0101_5^5 + 63601220443076583045936533/2444634859127545899028125*c_0101_5^4 + 321477443564638818592711/40075981297172883590625*c_0101_5^3 - 21088432865493645436991329/2444634859127545899028125*c_0101_5^2 + 215467251137365966829849/488926971825509179805625*c_0101_5 + 2218991903230983088442167/2444634859127545899028125, c_0101_5^16 - 2*c_0101_5^15 - 53*c_0101_5^14 + 116*c_0101_5^13 - 14*c_0101_5^12 - 180*c_0101_5^11 + 1723*c_0101_5^10 - 3692*c_0101_5^9 + 2417*c_0101_5^8 + 278*c_0101_5^7 - 1006*c_0101_5^6 + 399*c_0101_5^5 + 57*c_0101_5^4 - 90*c_0101_5^3 + 6*c_0101_5^2 + 13*c_0101_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB