Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2564359349] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s214 geometric_solution 4.35626266 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.692266987404 0.257218975763 0 2 2 0 3201 0132 1023 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.245306904476 0.755610831555 3 1 1 4 0132 0132 1023 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 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 0.271655677063 0.287091280121 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -1 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 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 -0.181287408893 1.315185313119 5 3 2 3 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 -0.181287408893 1.315185313119 5 4 5 3 2031 1023 1302 0132 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 0.353290703485 0.618906194455 ==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_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 45430966342766342374/848556393073643275*c_0101_3^12 - 93450170671317191162/121222341867663325*c_0101_3^11 + 6054219963111370087743/848556393073643275*c_0101_3^10 - 14528544111321959703966/848556393073643275*c_0101_3^9 - 3137070231697833944916/848556393073643275*c_0101_3^8 + 8823407143216243960176/121222341867663325*c_0101_3^7 - 99448107716639081660829/848556393073643275*c_0101_3^6 + 47289173624512204331598/848556393073643275*c_0101_3^5 + 47263168492099562316702/848556393073643275*c_0101_3^4 - 65608517182898293092338/848556393073643275*c_0101_3^3 + 6575071341344030242094/169711278614728655*c_0101_3^2 - 8198343715879809375138/848556393073643275*c_0101_3 + 774770793778911451409/848556393073643275, c_0011_0 - 1, c_0011_1 - 922618230507132/884834612172725*c_0101_3^12 - 13338851960237792/884834612172725*c_0101_3^11 + 122154718777443134/884834612172725*c_0101_3^10 - 288023160275866383/884834612172725*c_0101_3^9 - 79296917650691223/884834612172725*c_0101_3^8 + 1246876137831810761/884834612172725*c_0101_3^7 - 1948293362323823812/884834612172725*c_0101_3^6 + 859004423413181629/884834612172725*c_0101_3^5 + 993627397207135926/884834612172725*c_0101_3^4 - 1269736293428376114/884834612172725*c_0101_3^3 + 120807436735237553/176966922434545*c_0101_3^2 - 140220010825166449/884834612172725*c_0101_3 + 11910339471923597/884834612172725, c_0011_4 - 8640824133524568/121222341867663325*c_0101_3^12 - 132222958845274283/121222341867663325*c_0101_3^11 + 1036947258554171816/121222341867663325*c_0101_3^10 - 1754551660612282417/121222341867663325*c_0101_3^9 - 2811099453049116852/121222341867663325*c_0101_3^8 + 10573875855837938064/121222341867663325*c_0101_3^7 - 8591134782917390963/121222341867663325*c_0101_3^6 - 5174200131140860204/121222341867663325*c_0101_3^5 + 12977487687858759199/121222341867663325*c_0101_3^4 - 3105355848031913236/121222341867663325*c_0101_3^3 - 458653040579642168/24244468373532665*c_0101_3^2 + 1539356470705938849/121222341867663325*c_0101_3 - 321410928164885147/121222341867663325, c_0101_0 + 126502540117836774/121222341867663325*c_0101_3^12 + 1824148300750303049/121222341867663325*c_0101_3^11 - 16815367968682353648/121222341867663325*c_0101_3^10 + 40163680864271057851/121222341867663325*c_0101_3^9 + 9062326476790896171/121222341867663325*c_0101_3^8 - 170785365282459215637/121222341867663325*c_0101_3^7 + 274284961796823243774/121222341867663325*c_0101_3^6 - 131064323199957687018/121222341867663325*c_0101_3^5 - 128521298149291405772/121222341867663325*c_0101_3^4 + 179725419460716753928/121222341867663325*c_0101_3^3 - 18555688230891339232/24244468373532665*c_0101_3^2 + 23837163823295582308/121222341867663325*c_0101_3 - 2400213878025873514/121222341867663325, c_0101_2 + 120266586162877403/121222341867663325*c_0101_3^12 + 1726284628753605163/121222341867663325*c_0101_3^11 - 16104983184533804051/121222341867663325*c_0101_3^10 + 39180099062574480687/121222341867663325*c_0101_3^9 + 6602068176553203932/121222341867663325*c_0101_3^8 - 163998421108064353659/121222341867663325*c_0101_3^7 + 270753758681478766933/121222341867663325*c_0101_3^6 - 136677107456045092801/121222341867663325*c_0101_3^5 - 120560429338588451564/121222341867663325*c_0101_3^4 + 180247561032372254001/121222341867663325*c_0101_3^3 - 18937168627892379006/24244468373532665*c_0101_3^2 + 24681439287734947656/121222341867663325*c_0101_3 - 2557951767934413978/121222341867663325, c_0101_3^13 + 14*c_0101_3^12 - 139*c_0101_3^11 + 373*c_0101_3^10 - 59*c_0101_3^9 - 1386*c_0101_3^8 + 2732*c_0101_3^7 - 1919*c_0101_3^6 - 619*c_0101_3^5 + 1858*c_0101_3^4 - 1304*c_0101_3^3 + 472*c_0101_3^2 - 90*c_0101_3 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB