Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 846442308] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3069 geometric_solution 6.23509380 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.432781081868 0.687305401062 0 3 5 4 0132 0132 0132 0132 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 -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 0.785415505524 0.847008635095 3 0 4 5 2310 0132 3201 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 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 0.785415505524 0.847008635095 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230044490918 0.799085149667 2 6 1 6 2310 0132 0132 1023 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 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 0.970910158356 0.584495159393 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845275745328 0.663879723483 6 4 6 4 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 1 -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 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576992487460 0.195763514453 ==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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 9*c_0110_6^4 + 10*c_0110_6^3 - 34*c_0110_6^2 - 27*c_0110_6 + 22, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - c_0110_6^3 + 2*c_0110_6, c_0101_1 - c_0110_6^2 + 1, c_0101_2 + c_0110_6^2 - 1, c_0101_3 - c_0110_6, c_0110_6^5 + c_0110_6^4 - 4*c_0110_6^3 - 3*c_0110_6^2 + 3*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 324755901497821260857/180557331980211795985*c_0110_6^16 - 209804294042995183445/36111466396042359197*c_0110_6^15 + 621955279468850183747/180557331980211795985*c_0110_6^14 + 4933344607653931191928/180557331980211795985*c_0110_6^13 - 8982794209715636741744/180557331980211795985*c_0110_6^12 - 26936610249686204134881/180557331980211795985*c_0110_6^11 + 53645695712818284608898/180557331980211795985*c_0110_6^10 + 52054141743868763678986/180557331980211795985*c_0110_6^9 - 9567873361196760275221/10621019528247752705*c_0110_6^8 + 131579266426522509221638/180557331980211795985*c_0110_6^7 - 36491734532477658772019/180557331980211795985*c_0110_6^6 + 12692938856053953630037/180557331980211795985*c_0110_6^5 - 25807866609494934027218/180557331980211795985*c_0110_6^4 + 1540919431883389292068/36111466396042359197*c_0110_6^3 - 4202947579977299789991/180557331980211795985*c_0110_6^2 + 1161404542114804735278/180557331980211795985*c_0110_6 - 2622146521179434348856/180557331980211795985, c_0011_0 - 1, c_0011_4 - 270796447462925237/2124203905649550541*c_0110_6^16 + 757972752527799679/2124203905649550541*c_0110_6^15 - 101941353087442751/2124203905649550541*c_0110_6^14 - 4365643734723910346/2124203905649550541*c_0110_6^13 + 5548315695362570933/2124203905649550541*c_0110_6^12 + 26311709411005523422/2124203905649550541*c_0110_6^11 - 34640480488502712153/2124203905649550541*c_0110_6^10 - 67560609560741900030/2124203905649550541*c_0110_6^9 + 114246783377354148785/2124203905649550541*c_0110_6^8 - 35616837914779117929/2124203905649550541*c_0110_6^7 - 15024370783714422657/2124203905649550541*c_0110_6^6 - 14361227934406188557/2124203905649550541*c_0110_6^5 + 29712291949445529225/2124203905649550541*c_0110_6^4 + 1974104683164435179/2124203905649550541*c_0110_6^3 + 1638662694192996241/2124203905649550541*c_0110_6^2 - 2171495130990032886/2124203905649550541*c_0110_6 + 2144911108205251836/2124203905649550541, c_0101_0 - 209554181833809495/2124203905649550541*c_0110_6^16 + 504444425012241115/2124203905649550541*c_0110_6^15 + 195338149141816266/2124203905649550541*c_0110_6^14 - 3582590145754683680/2124203905649550541*c_0110_6^13 + 3108254940809624206/2124203905649550541*c_0110_6^12 + 22752640925927335691/2124203905649550541*c_0110_6^11 - 20491057726457630181/2124203905649550541*c_0110_6^10 - 66268498919274038558/2124203905649550541*c_0110_6^9 + 78203073668280057398/2124203905649550541*c_0110_6^8 + 13369911321273384118/2124203905649550541*c_0110_6^7 - 51929467535404537248/2124203905649550541*c_0110_6^6 + 7258231503379252709/2124203905649550541*c_0110_6^5 + 10833462639593455248/2124203905649550541*c_0110_6^4 + 10577164568569054211/2124203905649550541*c_0110_6^3 + 1170790020906896136/2124203905649550541*c_0110_6^2 + 1914411355172021059/2124203905649550541*c_0110_6 - 348383974413673611/2124203905649550541, c_0101_1 + 189750234119934186/2124203905649550541*c_0110_6^16 - 386898245475663120/2124203905649550541*c_0110_6^15 - 351864188105966461/2124203905649550541*c_0110_6^14 + 3194754351240467763/2124203905649550541*c_0110_6^13 - 1632355090618312138/2124203905649550541*c_0110_6^12 - 21733742016066644797/2124203905649550541*c_0110_6^11 + 11147472954689255360/2124203905649550541*c_0110_6^10 + 67302488750762461350/2124203905649550541*c_0110_6^9 - 49493208242326304992/2124203905649550541*c_0110_6^8 - 37842394934112305900/2124203905649550541*c_0110_6^7 + 46378145234118620604/2124203905649550541*c_0110_6^6 + 2971536759650820677/2124203905649550541*c_0110_6^5 - 17885557261129496485/2124203905649550541*c_0110_6^4 - 6521862910872821678/2124203905649550541*c_0110_6^3 - 4124667576207834355/2124203905649550541*c_0110_6^2 - 1264998889452729500/2124203905649550541*c_0110_6 + 1231456209335329118/2124203905649550541, c_0101_2 - 406062841171184664/2124203905649550541*c_0110_6^16 + 1164950920522174613/2124203905649550541*c_0110_6^15 - 255542201643033586/2124203905649550541*c_0110_6^14 - 6478865733865337697/2124203905649550541*c_0110_6^13 + 8750040085499180977/2124203905649550541*c_0110_6^12 + 38521317643273254253/2124203905649550541*c_0110_6^11 - 54267752651777698663/2124203905649550541*c_0110_6^10 - 95819259879636381120/2124203905649550541*c_0110_6^9 + 175828310524693009672/2124203905649550541*c_0110_6^8 - 68354427565262884483/2124203905649550541*c_0110_6^7 - 8491972821527306439/2124203905649550541*c_0110_6^6 - 28503733744346971299/2124203905649550541*c_0110_6^5 + 44098811204487295760/2124203905649550541*c_0110_6^4 + 3233098626914382085/2124203905649550541*c_0110_6^3 + 1157654283745624268/2124203905649550541*c_0110_6^2 - 4126283136345579951/2124203905649550541*c_0110_6 + 1807421059348278935/2124203905649550541, c_0101_3 + 423197633976937342/2124203905649550541*c_0110_6^16 - 1410578412000480904/2124203905649550541*c_0110_6^15 + 865317252433190890/2124203905649550541*c_0110_6^14 + 6581676199707862542/2124203905649550541*c_0110_6^13 - 12436326807554191886/2124203905649550541*c_0110_6^12 - 35198601680982026261/2124203905649550541*c_0110_6^11 + 75300400213174100984/2124203905649550541*c_0110_6^10 + 68297680207753928277/2124203905649550541*c_0110_6^9 - 229268986850767586367/2124203905649550541*c_0110_6^8 + 176536802591141700745/2124203905649550541*c_0110_6^7 - 31656227622326496039/2124203905649550541*c_0110_6^6 - 3108543794860797882/2124203905649550541*c_0110_6^5 - 30082715812291956324/2124203905649550541*c_0110_6^4 + 15816503883131110794/2124203905649550541*c_0110_6^3 - 7896074800892890163/2124203905649550541*c_0110_6^2 + 2063118322853502675/2124203905649550541*c_0110_6 - 2547919809033455953/2124203905649550541, c_0110_6^17 - 3*c_0110_6^16 + c_0110_6^15 + 16*c_0110_6^14 - 24*c_0110_6^13 - 92*c_0110_6^12 + 148*c_0110_6^11 + 216*c_0110_6^10 - 475*c_0110_6^9 + 242*c_0110_6^8 + 26*c_0110_6^7 + 12*c_0110_6^6 - 87*c_0110_6^5 + 2*c_0110_6^4 - 8*c_0110_6^3 + 8*c_0110_6^2 - 5*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB