Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 408519876] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1448 geometric_solution 5.26940184 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.471813373608 0.260206508961 0 3 0 3 0132 0132 2310 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 -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 -0.625175783109 0.896289381830 4 0 5 0 0132 2310 0132 0132 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 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 0.903010843282 0.636082872869 1 1 4 5 3201 0132 3012 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 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 0.234268618712 1.536401192218 2 3 4 4 0132 1230 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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004568587487 0.989338487154 3 6 6 2 3012 0132 1023 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900897609076 0.657825639334 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.660445189885 0.400222123964 ==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_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 7407539009900513/2485032974424333*c_0101_6^17 + 30339018100088065/4970065948848666*c_0101_6^16 - 99144407556664274/2485032974424333*c_0101_6^15 - 50779673704628081/828344324808111*c_0101_6^14 + 520936777373412683/2485032974424333*c_0101_6^13 + 347833329491447875/2485032974424333*c_0101_6^12 - 1898491650804334760/2485032974424333*c_0101_6^11 - 90590919531665681/276114774936037*c_0101_6^10 + 8510988605007731/6600353185722*c_0101_6^9 + 2962203719322822787/4970065948848666*c_0101_6^8 - 3172169715931181918/2485032974424333*c_0101_6^7 - 1533457532387922106/2485032974424333*c_0101_6^6 + 1758067249574144686/2485032974424333*c_0101_6^5 + 281088698083394875/828344324808111*c_0101_6^4 - 566816406335270903/2485032974424333*c_0101_6^3 - 491049491152391597/4970065948848666*c_0101_6^2 + 74304039538933990/2485032974424333*c_0101_6 + 62256828732899713/4970065948848666, c_0011_0 - 1, c_0011_2 + 1597628598600113/2485032974424333*c_0101_6^17 + 4039268573900075/2485032974424333*c_0101_6^16 - 19588369971001061/2485032974424333*c_0101_6^15 - 14068538138429885/828344324808111*c_0101_6^14 + 94631875249099502/2485032974424333*c_0101_6^13 + 118586239656859891/2485032974424333*c_0101_6^12 - 368000057072185943/2485032974424333*c_0101_6^11 - 37122828508201270/276114774936037*c_0101_6^10 + 759886649582368/3300176592861*c_0101_6^9 + 525936279469915094/2485032974424333*c_0101_6^8 - 495194321310426263/2485032974424333*c_0101_6^7 - 474858242781995155/2485032974424333*c_0101_6^6 + 220883747027004445/2485032974424333*c_0101_6^5 + 70095675150209362/828344324808111*c_0101_6^4 - 54245688337368056/2485032974424333*c_0101_6^3 - 44733519141610267/2485032974424333*c_0101_6^2 + 2540212752362083/2485032974424333*c_0101_6 - 2508400171275607/2485032974424333, c_0101_0 - 517092513827326/2485032974424333*c_0101_6^17 - 1293372805957831/2485032974424333*c_0101_6^16 + 6329204687347861/2485032974424333*c_0101_6^15 + 4461527487930898/828344324808111*c_0101_6^14 - 30523961623519480/2485032974424333*c_0101_6^13 - 36755088543709841/2485032974424333*c_0101_6^12 + 118661631269985946/2485032974424333*c_0101_6^11 + 11650836760050281/276114774936037*c_0101_6^10 - 244965701336144/3300176592861*c_0101_6^9 - 163923548787305038/2485032974424333*c_0101_6^8 + 174425398606785613/2485032974424333*c_0101_6^7 + 150878223559163114/2485032974424333*c_0101_6^6 - 98597097108016757/2485032974424333*c_0101_6^5 - 24079525873444616/828344324808111*c_0101_6^4 + 38228928167794180/2485032974424333*c_0101_6^3 + 20492824698289901/2485032974424333*c_0101_6^2 - 6234934970919947/2485032974424333*c_0101_6 + 1156924818270992/2485032974424333, c_0101_1 - 1, c_0101_2 + 677040553994795/2485032974424333*c_0101_6^17 + 1595370947928026/2485032974424333*c_0101_6^16 - 8549712423780104/2485032974424333*c_0101_6^15 - 5458333962148787/828344324808111*c_0101_6^14 + 42457585837922021/2485032974424333*c_0101_6^13 + 42365114018079355/2485032974424333*c_0101_6^12 - 160137773640785921/2485032974424333*c_0101_6^11 - 12412427046742951/276114774936037*c_0101_6^10 + 332443165048411/3300176592861*c_0101_6^9 + 176709862934995568/2485032974424333*c_0101_6^8 - 213835012442936003/2485032974424333*c_0101_6^7 - 152872737814568776/2485032974424333*c_0101_6^6 + 99007839595367752/2485032974424333*c_0101_6^5 + 18342552144499420/828344324808111*c_0101_6^4 - 26421615478136009/2485032974424333*c_0101_6^3 - 6578729964445582/2485032974424333*c_0101_6^2 + 5431042595097988/2485032974424333*c_0101_6 - 914421354169591/2485032974424333, c_0101_5 - 346497011396822/828344324808111*c_0101_6^17 - 842391354608711/828344324808111*c_0101_6^16 + 4326531806127272/828344324808111*c_0101_6^15 + 2928679002189088/276114774936037*c_0101_6^14 - 21189573865376573/828344324808111*c_0101_6^13 - 24334814604124210/828344324808111*c_0101_6^12 + 80557211359335482/828344324808111*c_0101_6^11 + 22706999056099358/276114774936037*c_0101_6^10 - 168423095279181/1100058864287*c_0101_6^9 - 114933361315405235/828344324808111*c_0101_6^8 + 109859900533982675/828344324808111*c_0101_6^7 + 110363084751567097/828344324808111*c_0101_6^6 - 48391556742737659/828344324808111*c_0101_6^5 - 17785717678640752/276114774936037*c_0101_6^4 + 10611234316423085/828344324808111*c_0101_6^3 + 12669194165693488/828344324808111*c_0101_6^2 - 737525279919952/828344324808111*c_0101_6 + 478413269767819/828344324808111, c_0101_6^18 + 3*c_0101_6^17 - 11*c_0101_6^16 - 32*c_0101_6^15 + 46*c_0101_6^14 + 100*c_0101_6^13 - 192*c_0101_6^12 - 311*c_0101_6^11 + 246*c_0101_6^10 + 478*c_0101_6^9 - 137*c_0101_6^8 - 412*c_0101_6^7 - 8*c_0101_6^6 + 172*c_0101_6^5 + 23*c_0101_6^4 - 37*c_0101_6^3 - 8*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB