Magma V2.19-8 Wed Aug 21 2013 01:02:17 on localhost [Seed = 863316216] Type ? for help. Type -D to quit. Loading file "L14n14252__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14252 geometric_solution 12.76255617 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 0 0 1 0 1 1 -2 -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 0 -1 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 0.310990509163 0.984082162496 0 4 5 4 0132 0132 0132 1230 0 0 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 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 0.140480594636 1.016432476199 0 0 7 6 2031 0132 0132 0132 0 0 1 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708026539641 0.923905604177 8 9 0 10 0132 0132 0132 0132 0 0 0 0 0 -1 2 -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 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 0.070339461808 1.081864319806 1 1 9 11 3012 0132 2031 0132 0 0 0 1 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 -1 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 0.485081121980 0.573637084741 8 6 12 1 1302 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393522647396 1.014300153407 10 10 2 5 1302 3012 0132 2031 0 0 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 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 0.555675722116 0.707597377412 10 11 11 2 3012 1302 3012 0132 0 0 0 1 0 0 1 -1 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 -1 1 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524664163445 0.628694856817 3 5 8 8 0132 2031 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 0.406917522457 1.303338733777 12 3 12 4 0321 0132 2310 1302 0 1 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 -1 1 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 0.291374452138 0.844662537181 6 6 3 7 1230 2031 0132 1230 0 0 1 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555675722116 0.707597377412 12 7 4 7 2031 1230 0132 2031 0 0 1 0 0 -1 1 0 0 0 0 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 1 -1 0 0 0 0 0 1 7 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765187991326 1.012062877757 9 9 11 5 0321 3201 1302 0132 0 0 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 0 0 0 0 0 0 0 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 0.582940647702 0.694849526664 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_0110_6'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_6'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 311/171*c_1001_2^2 + 1618/171*c_1001_2 + 1835/171, c_0011_0 - 1, c_0011_10 - c_1001_2 - 1, c_0011_11 + c_1001_2^2 + 3*c_1001_2 + 1, c_0011_12 + c_1001_2^2 + 3*c_1001_2, c_0011_3 - c_1001_2^2 - 4*c_1001_2 - 3, c_0011_5 + c_1001_2 + 2, c_0011_6 - 1, c_0101_1 - 1, c_0101_11 - 2*c_1001_2^2 - 5*c_1001_2 - 1, c_0101_2 - 1, c_0110_6 - 2*c_1001_2 - 3, c_1001_1 - c_1001_2^2 - 2*c_1001_2 - 1, c_1001_2^3 + 6*c_1001_2^2 + 9*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 161312618398524482/5818921564389*c_1001_2^8 - 13059509956889171084/5818921564389*c_1001_2^7 - 150436874708248822586/5818921564389*c_1001_2^6 - 213066938841001834907/1939640521463*c_1001_2^5 - 1171987091362351145933/5818921564389*c_1001_2^4 - 346649239864565196885/1939640521463*c_1001_2^3 - 448320758345226971191/5818921564389*c_1001_2^2 - 27275875198745893522/1939640521463*c_1001_2 - 3605961035524832134/5818921564389, c_0011_0 - 1, c_0011_10 - 133288591/1997570053*c_1001_2^8 - 10741113050/1997570053*c_1001_2^7 - 120294498855/1997570053*c_1001_2^6 - 482722787857/1997570053*c_1001_2^5 - 781708834432/1997570053*c_1001_2^4 - 542134227175/1997570053*c_1001_2^3 - 132571078686/1997570053*c_1001_2^2 - 1591036872/1997570053*c_1001_2 - 1095406967/1997570053, c_0011_11 - 184579078/1997570053*c_1001_2^8 - 14604656907/1997570053*c_1001_2^7 - 144966617810/1997570053*c_1001_2^6 - 434404821730/1997570053*c_1001_2^5 - 203231803293/1997570053*c_1001_2^4 + 493809915661/1997570053*c_1001_2^3 + 533494515883/1997570053*c_1001_2^2 + 151392433662/1997570053*c_1001_2 + 6577354660/1997570053, c_0011_12 - 886086/18668879*c_1001_2^8 - 71623215/18668879*c_1001_2^7 - 816966495/18668879*c_1001_2^6 - 3383759042/18668879*c_1001_2^5 - 5765748048/18668879*c_1001_2^4 - 4173258555/18668879*c_1001_2^3 - 1089898926/18668879*c_1001_2^2 - 43915698/18668879*c_1001_2 - 4081761/18668879, c_0011_3 + 1564493105/1997570053*c_1001_2^8 + 126060398602/1997570053*c_1001_2^7 + 1411045893618/1997570053*c_1001_2^6 + 5674335431605/1997570053*c_1001_2^5 + 176426555940/37690001*c_1001_2^4 + 7086550439815/1997570053*c_1001_2^3 + 2465585067484/1997570053*c_1001_2^2 + 345111504718/1997570053*c_1001_2 + 11829793879/1997570053, c_0011_5 - 1379914027/1997570053*c_1001_2^8 - 111455741695/1997570053*c_1001_2^7 - 1266079275808/1997570053*c_1001_2^6 - 5239930609875/1997570053*c_1001_2^5 - 9147375661527/1997570053*c_1001_2^4 - 7580360355476/1997570053*c_1001_2^3 - 2999079583367/1997570053*c_1001_2^2 - 496503938380/1997570053*c_1001_2 - 18407148539/1997570053, c_0011_6 - 13095993/37690001*c_1001_2^8 - 56157000720/1997570053*c_1001_2^7 - 644518622185/1997570053*c_1001_2^6 - 2721306778885/1997570053*c_1001_2^5 - 4941783540633/1997570053*c_1001_2^4 - 4357921420570/1997570053*c_1001_2^3 - 1888266677041/1997570053*c_1001_2^2 - 351205995924/1997570053*c_1001_2 - 13913689675/1997570053, c_0101_1 - 1, c_0101_11 - 180600388/1997570053*c_1001_2^8 - 14502318333/1997570053*c_1001_2^7 - 158907341793/1997570053*c_1001_2^6 - 612288700511/1997570053*c_1001_2^5 - 921136132175/1997570053*c_1001_2^4 - 598079246890/1997570053*c_1001_2^3 - 152211407178/1997570053*c_1001_2^2 - 4908057901/1997570053*c_1001_2 - 317294492/1997570053, c_0101_2 - 133288591/1997570053*c_1001_2^8 - 10741113050/1997570053*c_1001_2^7 - 120294498855/1997570053*c_1001_2^6 - 482722787857/1997570053*c_1001_2^5 - 781708834432/1997570053*c_1001_2^4 - 542134227175/1997570053*c_1001_2^3 - 132571078686/1997570053*c_1001_2^2 + 406533181/1997570053*c_1001_2 - 1095406967/1997570053, c_0110_6 + 1238364205/1997570053*c_1001_2^8 + 99856368900/1997570053*c_1001_2^7 + 1122826808391/1997570053*c_1001_2^6 + 4554524874123/1997570053*c_1001_2^5 + 7629475407356/1997570053*c_1001_2^4 + 5902743642637/1997570053*c_1001_2^3 + 2089054733966/1997570053*c_1001_2^2 + 291002418093/1997570053*c_1001_2 + 9889080814/1997570053, c_1001_1 - 275411590/1997570053*c_1001_2^8 - 22166002338/1997570053*c_1001_2^7 - 246322756758/1997570053*c_1001_2^6 - 18383979585/37690001*c_1001_2^5 - 1538071173311/1997570053*c_1001_2^4 - 1044617912275/1997570053*c_1001_2^3 - 268830592260/1997570053*c_1001_2^2 - 9607037587/1997570053*c_1001_2 - 754042919/1997570053, c_1001_2^9 + 81*c_1001_2^8 + 936*c_1001_2^7 + 4002*c_1001_2^6 + 7434*c_1001_2^5 + 6759*c_1001_2^4 + 3060*c_1001_2^3 + 630*c_1001_2^2 + 45*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.520 seconds, Total memory usage: 32.09MB