Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3448525086] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1332 geometric_solution 5.21170583 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409824025646 0.496322628106 3 3 4 0 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.066063454848 1.806754632424 5 5 0 4 0132 3201 0132 3201 0 0 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 2 -1 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 -0.066063454848 1.806754632424 1 5 1 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.469012382348 0.847371312985 6 2 6 1 0132 2310 1023 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615285465709 0.563388392203 2 3 2 3 0132 1302 2310 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.469012382348 0.847371312985 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.550555350125 0.122711147981 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), '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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 5410412575835011/697530412984*c_0101_4^18 - 8497362111776961/697530412984*c_0101_4^17 + 19940424659163225/697530412984*c_0101_4^16 + 109364831495647743/348765206492*c_0101_4^15 + 317001765370921427/697530412984*c_0101_4^14 + 175407422915165723/697530412984*c_0101_4^13 + 14591099123435157/697530412984*c_0101_4^12 - 1116001185609085015/697530412984*c_0101_4^11 - 2837076658297631937/697530412984*c_0101_4^10 - 84123111135869985/697530412984*c_0101_4^9 + 688530210322455343/174382603246*c_0101_4^8 + 1800252279954725009/697530412984*c_0101_4^7 + 482235560786665853/697530412984*c_0101_4^6 - 489087594566148879/697530412984*c_0101_4^5 - 115935135758018241/87191301623*c_0101_4^4 - 406904550397887025/697530412984*c_0101_4^3 + 51145903786669579/697530412984*c_0101_4^2 + 70484508317212913/697530412984*c_0101_4 + 3028469418165305/174382603246, c_0011_0 - 1, c_0011_1 + 48167809996719/2812622633*c_0101_4^18 + 294264290833939/11250490532*c_0101_4^17 - 717074133327195/11250490532*c_0101_4^16 - 7753176031846081/11250490532*c_0101_4^15 - 5489082251885859/5625245266*c_0101_4^14 - 5987028715353031/11250490532*c_0101_4^13 - 446954385662535/11250490532*c_0101_4^12 + 39708318611466287/11250490532*c_0101_4^11 + 99336980150918343/11250490532*c_0101_4^10 - 130151872751679/11250490532*c_0101_4^9 - 95870821192960887/11250490532*c_0101_4^8 - 15357099808583155/2812622633*c_0101_4^7 - 16449868822821973/11250490532*c_0101_4^6 + 17596601841995591/11250490532*c_0101_4^5 + 32141697005708211/11250490532*c_0101_4^4 + 3427796650656067/2812622633*c_0101_4^3 - 1852247320562251/11250490532*c_0101_4^2 - 2399098901685503/11250490532*c_0101_4 - 407993727730709/11250490532, c_0011_2 + 48167809996719/2812622633*c_0101_4^18 + 294264290833939/11250490532*c_0101_4^17 - 717074133327195/11250490532*c_0101_4^16 - 7753176031846081/11250490532*c_0101_4^15 - 5489082251885859/5625245266*c_0101_4^14 - 5987028715353031/11250490532*c_0101_4^13 - 446954385662535/11250490532*c_0101_4^12 + 39708318611466287/11250490532*c_0101_4^11 + 99336980150918343/11250490532*c_0101_4^10 - 130151872751679/11250490532*c_0101_4^9 - 95870821192960887/11250490532*c_0101_4^8 - 15357099808583155/2812622633*c_0101_4^7 - 16449868822821973/11250490532*c_0101_4^6 + 17596601841995591/11250490532*c_0101_4^5 + 32141697005708211/11250490532*c_0101_4^4 + 3427796650656067/2812622633*c_0101_4^3 - 1852247320562251/11250490532*c_0101_4^2 - 2399098901685503/11250490532*c_0101_4 - 407993727730709/11250490532, c_0011_4 + 54440083629/2775158*c_0101_4^18 + 83002208699/2775158*c_0101_4^17 - 202769493861/2775158*c_0101_4^16 - 1095044430806/1387579*c_0101_4^15 - 3096415484489/2775158*c_0101_4^14 - 1685879847679/2775158*c_0101_4^13 - 124419871645/2775158*c_0101_4^12 + 11219234610251/2775158*c_0101_4^11 + 28038753543147/2775158*c_0101_4^10 - 98041339351/2775158*c_0101_4^9 - 13530819905455/1387579*c_0101_4^8 - 17296397847333/2775158*c_0101_4^7 - 4629343637381/2775158*c_0101_4^6 + 4975674522307/2775158*c_0101_4^5 + 4533534953673/1387579*c_0101_4^4 + 3856544921727/2775158*c_0101_4^3 - 525659082909/2775158*c_0101_4^2 - 675358080877/2775158*c_0101_4 - 57315547368/1387579, c_0101_1 + 60191011107/2775158*c_0101_4^18 + 45909948572/1387579*c_0101_4^17 - 112062999523/1387579*c_0101_4^16 - 2421647623439/2775158*c_0101_4^15 - 3425458853835/2775158*c_0101_4^14 - 933154081260/1387579*c_0101_4^13 - 69214445594/1387579*c_0101_4^12 + 6202279841137/1387579*c_0101_4^11 + 15505436459885/1387579*c_0101_4^10 - 42678091474/1387579*c_0101_4^9 - 29926604028267/2775158*c_0101_4^8 - 19147588825501/2775158*c_0101_4^7 - 2563598436491/1387579*c_0101_4^6 + 2749927473305/1387579*c_0101_4^5 + 10029785464907/2775158*c_0101_4^4 + 4271049381327/2775158*c_0101_4^3 - 289869782577/1387579*c_0101_4^2 - 373855723363/1387579*c_0101_4 - 127059582275/2775158, c_0101_2 + 78557869107441/11250490532*c_0101_4^18 + 29812742441037/2812622633*c_0101_4^17 - 73330020172576/2812622633*c_0101_4^16 - 3158224295019581/11250490532*c_0101_4^15 - 4447429048106331/11250490532*c_0101_4^14 - 1203151529870813/5625245266*c_0101_4^13 - 42311024126941/2812622633*c_0101_4^12 + 8093991482611925/5625245266*c_0101_4^11 + 10088186263602519/2812622633*c_0101_4^10 - 197335534951051/5625245266*c_0101_4^9 - 39001208614671993/11250490532*c_0101_4^8 - 24688118900602455/11250490532*c_0101_4^7 - 3286653970179469/5625245266*c_0101_4^6 + 3597771659346729/5625245266*c_0101_4^5 + 13032936055640041/11250490532*c_0101_4^4 + 5484402564555343/11250490532*c_0101_4^3 - 388785513921545/5625245266*c_0101_4^2 - 240766492362735/2812622633*c_0101_4 - 161468946381315/11250490532, c_0101_4^19 + 2*c_0101_4^18 - 3*c_0101_4^17 - 42*c_0101_4^16 - 76*c_0101_4^15 - 58*c_0101_4^14 - 17*c_0101_4^13 + 205*c_0101_4^12 + 613*c_0101_4^11 + 243*c_0101_4^10 - 498*c_0101_4^9 - 554*c_0101_4^8 - 236*c_0101_4^7 + 51*c_0101_4^6 + 210*c_0101_4^5 + 150*c_0101_4^4 + 24*c_0101_4^3 - 17*c_0101_4^2 - 8*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB