Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 3246415115] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0964 geometric_solution 4.85879130 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 0 0 1 -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 0.602110703192 1.253676645516 0 3 0 2 0132 3120 0213 2031 0 0 0 0 0 -1 1 0 0 0 1 -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 1 -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 0.688709805076 0.648148663169 4 1 4 0 0132 1302 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 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 0.661130989072 0.474318691928 5 1 0 5 0132 3120 0132 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418208261192 0.654213529811 2 2 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481169799986 0.165799457904 3 3 6 6 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.284297224781 1.121973484933 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.610581712934 0.141855359762 ==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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_1001_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_2, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 39795856450098610/46602348592147*c_1001_0^21 + 52832633517726595/46602348592147*c_1001_0^20 + 243671284626338386/46602348592147*c_1001_0^19 - 850256158571725170/46602348592147*c_1001_0^18 - 414120548163401241/46602348592147*c_1001_0^17 + 2854254489135199611/46602348592147*c_1001_0^16 + 1322504066907155825/46602348592147*c_1001_0^15 - 3129622354874470033/46602348592147*c_1001_0^14 - 7204040304316444018/46602348592147*c_1001_0^13 - 301593032507963062/46602348592147*c_1001_0^12 + 14523967738442118203/46602348592147*c_1001_0^11 - 2344245920539001823/46602348592147*c_1001_0^10 - 12745782990287032712/46602348592147*c_1001_0^9 + 13378390025305336650/46602348592147*c_1001_0^8 + 5629002551949819542/46602348592147*c_1001_0^7 - 15693093265753239100/46602348592147*c_1001_0^6 - 1607081407425870519/46602348592147*c_1001_0^5 + 7495599726018019692/46602348592147*c_1001_0^4 + 365595104990203904/46602348592147*c_1001_0^3 - 1517237278524185727/46602348592147*c_1001_0^2 - 37877393830089984/46602348592147*c_1001_0 + 105986913394097264/46602348592147, c_0011_0 - 1, c_0011_2 - 1230926819622306/46602348592147*c_1001_0^21 + 2027993774298029/46602348592147*c_1001_0^20 + 6709375989127586/46602348592147*c_1001_0^19 - 28071578700665253/46602348592147*c_1001_0^18 - 3025868006987850/46602348592147*c_1001_0^17 + 84827506541018726/46602348592147*c_1001_0^16 + 15326285205617453/46602348592147*c_1001_0^15 - 90199056237444474/46602348592147*c_1001_0^14 - 196862374064511560/46602348592147*c_1001_0^13 + 42119637268891316/46602348592147*c_1001_0^12 + 412397090039596291/46602348592147*c_1001_0^11 - 188084032022070032/46602348592147*c_1001_0^10 - 282313411993589719/46602348592147*c_1001_0^9 + 453784026162787976/46602348592147*c_1001_0^8 + 11530537298978287/46602348592147*c_1001_0^7 - 416118217655075231/46602348592147*c_1001_0^6 + 52397402562225368/46602348592147*c_1001_0^5 + 169812875247077065/46602348592147*c_1001_0^4 - 15398977720610289/46602348592147*c_1001_0^3 - 30372349235402933/46602348592147*c_1001_0^2 + 1061385058195007/46602348592147*c_1001_0 + 1916443474120478/46602348592147, c_0011_6 - 4445000749280008/46602348592147*c_1001_0^21 + 6234078556202442/46602348592147*c_1001_0^20 + 26516900593244461/46602348592147*c_1001_0^19 - 96467458524896230/46602348592147*c_1001_0^18 - 37984609061651347/46602348592147*c_1001_0^17 + 315869426933725465/46602348592147*c_1001_0^16 + 126124482072510334/46602348592147*c_1001_0^15 - 343976017353044377/46602348592147*c_1001_0^14 - 782961898765949823/46602348592147*c_1001_0^13 + 10148473272255757/46602348592147*c_1001_0^12 + 1591507182376614676/46602348592147*c_1001_0^11 - 359849949197988277/46602348592147*c_1001_0^10 - 1329514042370135461/46602348592147*c_1001_0^9 + 1526575567566252215/46602348592147*c_1001_0^8 + 493063119072878738/46602348592147*c_1001_0^7 - 1692955175724459050/46602348592147*c_1001_0^6 - 96181910545487792/46602348592147*c_1001_0^5 + 786848187212683657/46602348592147*c_1001_0^4 + 19952349435004219/46602348592147*c_1001_0^3 - 157643054397488227/46602348592147*c_1001_0^2 - 2508322797967485/46602348592147*c_1001_0 + 11056292408035592/46602348592147, c_0101_0 - 1916443474120478/46602348592147*c_1001_0^21 + 2601960128618650/46602348592147*c_1001_0^20 + 11610211144900419/46602348592147*c_1001_0^19 - 41201710863884364/46602348592147*c_1001_0^18 - 18489361330062863/46602348592147*c_1001_0^17 + 136874505603807044/46602348592147*c_1001_0^16 + 59913741377452512/46602348592147*c_1001_0^15 - 149487853568743655/46602348592147*c_1001_0^14 - 343169594821347570/46602348592147*c_1001_0^13 - 7134470126584238/46602348592147*c_1001_0^12 + 693710418469853836/46602348592147*c_1001_0^11 - 129956413136498983/46602348592147*c_1001_0^10 - 596286492009731846/46602348592147*c_1001_0^9 + 649078116428962589/46602348592147*c_1001_0^8 + 246808130957776352/46602348592147*c_1001_0^7 - 743548191504490045/46602348592147*c_1001_0^6 - 63492618416907279/46602348592147*c_1001_0^5 + 351362584525019936/46602348592147*c_1001_0^4 + 14580953843318347/46602348592147*c_1001_0^3 - 70975838470104151/46602348592147*c_1001_0^2 - 1625697123595763/46602348592147*c_1001_0 + 4940874355028110/46602348592147, c_0101_2 - 3062476061375412/46602348592147*c_1001_0^21 + 4966758753618890/46602348592147*c_1001_0^20 + 16897844745028199/46602348592147*c_1001_0^19 - 69570789021382355/46602348592147*c_1001_0^18 - 9626392616009056/46602348592147*c_1001_0^17 + 212648023942237010/46602348592147*c_1001_0^16 + 42758234114809730/46602348592147*c_1001_0^15 - 227468377355829024/46602348592147*c_1001_0^14 - 494836497103798370/46602348592147*c_1001_0^13 + 95622683267822299/46602348592147*c_1001_0^12 + 1038994684848055720/46602348592147*c_1001_0^11 - 447655967812207654/46602348592147*c_1001_0^10 - 731603785945293513/46602348592147*c_1001_0^9 + 1129028816272325774/46602348592147*c_1001_0^8 + 59124931248063966/46602348592147*c_1001_0^7 - 1057175621730428880/46602348592147*c_1001_0^6 + 114236826157047047/46602348592147*c_1001_0^5 + 437873865620006890/46602348592147*c_1001_0^4 - 33865020866414455/46602348592147*c_1001_0^3 - 79307940280734658/46602348592147*c_1001_0^2 + 2369508149243525/46602348592147*c_1001_0 + 5062448903496677/46602348592147, c_0101_5 - 7493380982/81314983*c_1001_0^21 + 12443963394/81314983*c_1001_0^20 + 40711411100/81314983*c_1001_0^19 - 171510461009/81314983*c_1001_0^18 - 16219684489/81314983*c_1001_0^17 + 517361417040/81314983*c_1001_0^16 + 85594383484/81314983*c_1001_0^15 - 551007851159/81314983*c_1001_0^14 - 1190370145897/81314983*c_1001_0^13 + 272362610918/81314983*c_1001_0^12 + 2510837720563/81314983*c_1001_0^11 - 1182788120551/81314983*c_1001_0^10 - 1705220756116/81314983*c_1001_0^9 + 2793295897100/81314983*c_1001_0^8 + 25693114327/81314983*c_1001_0^7 - 2535834499714/81314983*c_1001_0^6 + 358820840298/81314983*c_1001_0^5 + 1026606212960/81314983*c_1001_0^4 - 107765002957/81314983*c_1001_0^3 - 182231554422/81314983*c_1001_0^2 + 8633291849/81314983*c_1001_0 + 11414208746/81314983, c_1001_0^22 - 2*c_1001_0^21 - 5*c_1001_0^20 + 25*c_1001_0^19 - 5*c_1001_0^18 - 73*c_1001_0^17 + 13*c_1001_0^16 + 86*c_1001_0^15 + 132*c_1001_0^14 - 99*c_1001_0^13 - 340*c_1001_0^12 + 283*c_1001_0^11 + 213*c_1001_0^10 - 486*c_1001_0^9 + 108*c_1001_0^8 + 394*c_1001_0^7 - 184*c_1001_0^6 - 156*c_1001_0^5 + 81*c_1001_0^4 + 29*c_1001_0^3 - 15*c_1001_0^2 - 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB