Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 3069651599] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s068 geometric_solution 3.61020688 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.652125958101 0.050795818131 2 0 2 0 0132 2310 1023 0132 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 0 -1 1 1 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 0.823675667888 0.067928030291 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -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 0.653358710692 0.242286557614 4 2 5 2 0132 0132 0132 1023 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 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 0.983924618759 1.949319882998 3 5 5 5 0132 3201 2310 1230 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 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 0.008672216866 0.983186346718 4 4 4 3 3012 3201 2310 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008672216866 0.983186346718 ==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' : 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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], '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_1'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : 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_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], '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_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 317753589897920194/138777011751668265*c_0101_4^15 - 4937957966164876333/138777011751668265*c_0101_4^14 - 17099485637805587114/138777011751668265*c_0101_4^13 + 9411214213980853754/46259003917222755*c_0101_4^12 + 44209011776021056019/46259003917222755*c_0101_4^11 + 24798296012399980691/46259003917222755*c_0101_4^10 - 328938242843315018072/138777011751668265*c_0101_4^9 - 554354055317094514594/138777011751668265*c_0101_4^8 + 105397306251120337564/46259003917222755*c_0101_4^7 + 852195736194695567102/138777011751668265*c_0101_4^6 - 268959389142040121503/138777011751668265*c_0101_4^5 - 636903279416230083973/138777011751668265*c_0101_4^4 + 169488986052648285754/138777011751668265*c_0101_4^3 + 106186497868667901859/46259003917222755*c_0101_4^2 + 6445901802035409791/27755402350333653*c_0101_4 - 45199557659148532468/138777011751668265, c_0011_0 - 1, c_0011_1 - 427341703533640/9251800783444551*c_0101_4^15 - 3930129600475981/9251800783444551*c_0101_4^14 + 1608604793841358/9251800783444551*c_0101_4^13 + 8681410445941762/3083933594481517*c_0101_4^12 + 7916868782420579/3083933594481517*c_0101_4^11 - 17830977677074782/3083933594481517*c_0101_4^10 - 128425432960404044/9251800783444551*c_0101_4^9 + 44156784851447864/9251800783444551*c_0101_4^8 + 71421608639952770/3083933594481517*c_0101_4^7 - 69238930845412840/9251800783444551*c_0101_4^6 - 162364832647867615/9251800783444551*c_0101_4^5 + 67629768993405749/9251800783444551*c_0101_4^4 + 53786832574754071/9251800783444551*c_0101_4^3 - 1724527349284982/3083933594481517*c_0101_4^2 - 1660096493205560/9251800783444551*c_0101_4 + 3400229491004807/9251800783444551, c_0011_5 + 50595505212842/9251800783444551*c_0101_4^15 + 1124714082515354/9251800783444551*c_0101_4^14 + 5495750276506603/9251800783444551*c_0101_4^13 - 2728795296398697/3083933594481517*c_0101_4^12 - 11657315447543588/3083933594481517*c_0101_4^11 - 6717055873567612/3083933594481517*c_0101_4^10 + 87080213224896946/9251800783444551*c_0101_4^9 + 142432897792629092/9251800783444551*c_0101_4^8 - 34424625583097719/3083933594481517*c_0101_4^7 - 180042145641790921/9251800783444551*c_0101_4^6 + 101246559521864675/9251800783444551*c_0101_4^5 + 103046296245994061/9251800783444551*c_0101_4^4 - 57942581247607847/9251800783444551*c_0101_4^3 - 16045618487663794/3083933594481517*c_0101_4^2 - 1753620109189679/9251800783444551*c_0101_4 + 387531520641374/9251800783444551, c_0101_0 - 1739097177779294/9251800783444551*c_0101_4^15 - 16472271028036790/9251800783444551*c_0101_4^14 + 1675621106583539/9251800783444551*c_0101_4^13 + 34676980769801654/3083933594481517*c_0101_4^12 + 44105658544041541/3083933594481517*c_0101_4^11 - 56432699734684106/3083933594481517*c_0101_4^10 - 583729269123993778/9251800783444551*c_0101_4^9 - 27070149397132142/9251800783444551*c_0101_4^8 + 283070230534524688/3083933594481517*c_0101_4^7 + 102359116210834975/9251800783444551*c_0101_4^6 - 655181418170934653/9251800783444551*c_0101_4^5 - 74938900893995507/9251800783444551*c_0101_4^4 + 330500375296113062/9251800783444551*c_0101_4^3 + 38657832175676058/3083933594481517*c_0101_4^2 - 43188191007858832/9251800783444551*c_0101_4 - 5114344426963547/9251800783444551, c_0101_1 + 312430385206024/9251800783444551*c_0101_4^15 + 3005205396273922/9251800783444551*c_0101_4^14 - 36766541763175/9251800783444551*c_0101_4^13 - 6699338527936345/3083933594481517*c_0101_4^12 - 8091453253548868/3083933594481517*c_0101_4^11 + 11421396256243732/3083933594481517*c_0101_4^10 + 111478448813603381/9251800783444551*c_0101_4^9 - 1869446584240706/9251800783444551*c_0101_4^8 - 59805573179117040/3083933594481517*c_0101_4^7 - 3129462855899192/9251800783444551*c_0101_4^6 + 149062763173202347/9251800783444551*c_0101_4^5 - 7505081943732158/9251800783444551*c_0101_4^4 - 56467141096010668/9251800783444551*c_0101_4^3 - 4641651981000343/3083933594481517*c_0101_4^2 + 649016273599703/9251800783444551*c_0101_4 + 5435098503595279/9251800783444551, c_0101_4^16 + 9*c_0101_4^15 - 5*c_0101_4^14 - 56*c_0101_4^13 - 54*c_0101_4^12 + 117*c_0101_4^11 + 284*c_0101_4^10 - 88*c_0101_4^9 - 436*c_0101_4^8 + 76*c_0101_4^7 + 336*c_0101_4^6 - 54*c_0101_4^5 - 167*c_0101_4^4 - 20*c_0101_4^3 + 29*c_0101_4^2 + 2*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB