Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 1528481636] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s039 geometric_solution 3.57468489 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 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 2 -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 4.448797205583 1.071980910139 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 -1 0 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 2 0 -2 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 -0.436969107989 0.268506184496 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 -2 1 1 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 0.538535683855 0.632588868170 4 5 5 2 1302 0132 3201 0132 0 0 0 0 0 -1 0 1 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 -1 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 0.742826885082 0.258764832447 5 3 2 5 2310 2031 0132 1023 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 0 -1 1 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 0.742826885082 0.258764832447 3 3 4 4 2310 0132 3201 1023 0 0 0 0 0 1 0 -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 -1 0 1 1 0 0 -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 0.799473679368 0.418205100603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2559644033226275/2951782530284928*c_0101_5^12 - 5554934406895941/983927510094976*c_0101_5^11 + 26984163030911219/2951782530284928*c_0101_5^10 - 9445986218997043/122990938761872*c_0101_5^9 + 102012004641000833/1475891265142464*c_0101_5^8 - 34558257821156925/122990938761872*c_0101_5^7 + 93222717053101225/491963755047488*c_0101_5^6 - 462329442339510959/983927510094976*c_0101_5^5 + 427974692845165501/1475891265142464*c_0101_5^4 - 1131702437824312499/2951782530284928*c_0101_5^3 + 392651584413087901/1475891265142464*c_0101_5^2 - 46235992513898947/368972816285616*c_0101_5 + 43756383336947789/368972816285616, c_0011_0 - 1, c_0011_1 + 42351552633/1499889497096*c_0101_5^12 + 297684419217/1499889497096*c_0101_5^11 - 363940144161/1499889497096*c_0101_5^10 + 384463542131/187486187137*c_0101_5^9 - 517939415825/749944748548*c_0101_5^8 + 985172672418/187486187137*c_0101_5^7 - 1007146696017/749944748548*c_0101_5^6 + 8323346319135/1499889497096*c_0101_5^5 - 697426466773/749944748548*c_0101_5^4 + 3280918823477/1499889497096*c_0101_5^3 + 352329462647/749944748548*c_0101_5^2 + 45476756149/374972374274*c_0101_5 + 158632188139/187486187137, c_0011_3 - 18436870165/1499889497096*c_0101_5^12 - 181382570459/1499889497096*c_0101_5^11 - 211163754853/1499889497096*c_0101_5^10 - 501488214107/749944748548*c_0101_5^9 - 1890552969401/749944748548*c_0101_5^8 - 524979587707/374972374274*c_0101_5^7 - 6555323944071/749944748548*c_0101_5^6 - 2759474524663/1499889497096*c_0101_5^5 - 2262052324388/187486187137*c_0101_5^4 - 1956684457633/1499889497096*c_0101_5^3 - 2400287633573/374972374274*c_0101_5^2 + 189033781829/374972374274*c_0101_5 - 77370830181/187486187137, c_0101_1 - 15419488087/1499889497096*c_0101_5^12 - 59359025561/1499889497096*c_0101_5^11 + 457666760465/1499889497096*c_0101_5^10 - 829219262477/749944748548*c_0101_5^9 + 2148874093749/749944748548*c_0101_5^8 - 1319918678267/374972374274*c_0101_5^7 + 5373065496447/749944748548*c_0101_5^6 - 5163043073645/1499889497096*c_0101_5^5 + 1346266438363/187486187137*c_0101_5^4 - 1840126459563/1499889497096*c_0101_5^3 + 833199211585/374972374274*c_0101_5^2 - 79121705197/374972374274*c_0101_5 - 61253052483/187486187137, c_0101_2 + 20352091243/749944748548*c_0101_5^12 + 92249225803/374972374274*c_0101_5^11 + 33285242823/187486187137*c_0101_5^10 + 1285182521321/749944748548*c_0101_5^9 + 1351050184323/374972374274*c_0101_5^8 + 1821106474161/374972374274*c_0101_5^7 + 4653992754549/374972374274*c_0101_5^6 + 4980894788279/749944748548*c_0101_5^5 + 12967835107303/749944748548*c_0101_5^4 + 1927608678341/749944748548*c_0101_5^3 + 7333093286641/749944748548*c_0101_5^2 - 537485991037/374972374274*c_0101_5 + 231416021575/187486187137, c_0101_5^13 + 7*c_0101_5^12 - 7*c_0101_5^11 + 86*c_0101_5^10 - 38*c_0101_5^9 + 316*c_0101_5^8 - 66*c_0101_5^7 + 555*c_0101_5^6 - 64*c_0101_5^5 + 501*c_0101_5^4 - 60*c_0101_5^3 + 204*c_0101_5^2 - 40*c_0101_5 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB