Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2833855598] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0262 geometric_solution 4.30173945 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -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 -1 0 1 -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 -0.259150797164 0.104005853947 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 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 2.534649434087 1.268657517730 3 1 1 4 0132 3201 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622785451532 0.818434167462 2 4 4 5 0132 2310 3201 0132 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 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 -0.234676154412 0.527719358845 3 5 2 3 2310 1023 0132 3201 0 0 0 0 0 0 -1 1 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.234676154412 0.527719358845 4 6 3 6 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.646021527568 1.953468125087 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388393162787 0.245405501952 ==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' : 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' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 387339140254732/893159328281*c_0110_6^17 - 319565715214507/893159328281*c_0110_6^16 + 1492657331661887/893159328281*c_0110_6^15 - 1674647858221046/893159328281*c_0110_6^14 - 4169457130269081/893159328281*c_0110_6^13 + 2373878935102986/893159328281*c_0110_6^12 - 14295534239711044/893159328281*c_0110_6^11 + 17247870951536525/893159328281*c_0110_6^10 + 23961760495759263/893159328281*c_0110_6^9 - 1207534616451480/81196302571*c_0110_6^8 + 33264694622680765/893159328281*c_0110_6^7 - 55742247004435328/893159328281*c_0110_6^6 - 71785336162152163/893159328281*c_0110_6^5 + 75890723888168187/893159328281*c_0110_6^4 + 38983758055576685/893159328281*c_0110_6^3 - 26652934980023434/893159328281*c_0110_6^2 - 8238008785898162/893159328281*c_0110_6 + 2090988315753877/893159328281, c_0011_0 - 1, c_0011_2 - 871010975/4273489609*c_0110_6^17 - 108799232/4273489609*c_0110_6^16 - 2760980078/4273489609*c_0110_6^15 + 162687513/4273489609*c_0110_6^14 + 13256458376/4273489609*c_0110_6^13 + 1650607748/4273489609*c_0110_6^12 + 31666224154/4273489609*c_0110_6^11 - 5823064647/4273489609*c_0110_6^10 - 89792722168/4273489609*c_0110_6^9 - 5793139837/4273489609*c_0110_6^8 - 85690516262/4273489609*c_0110_6^7 + 46437794938/4273489609*c_0110_6^6 + 274982137208/4273489609*c_0110_6^5 - 47525810874/4273489609*c_0110_6^4 - 134118953216/4273489609*c_0110_6^3 + 1677565273/4273489609*c_0110_6^2 + 3341690974/4273489609*c_0110_6 - 1571508659/4273489609, c_0011_4 - 3638804503/4273489609*c_0110_6^17 + 1475597392/4273489609*c_0110_6^16 - 13877286466/4273489609*c_0110_6^15 + 9596722141/4273489609*c_0110_6^14 + 42034822838/4273489609*c_0110_6^13 - 5973583366/4273489609*c_0110_6^12 + 141075542218/4273489609*c_0110_6^11 - 101441651151/4273489609*c_0110_6^10 - 250698748554/4273489609*c_0110_6^9 + 27365771881/4273489609*c_0110_6^8 - 367362172740/4273489609*c_0110_6^7 + 369878993134/4273489609*c_0110_6^6 + 774947060310/4273489609*c_0110_6^5 - 384953757354/4273489609*c_0110_6^4 - 334446032029/4273489609*c_0110_6^3 + 83675801099/4273489609*c_0110_6^2 + 35034741635/4273489609*c_0110_6 - 7374544235/4273489609, c_0101_0 + 769632174/4273489609*c_0110_6^17 - 627871010/4273489609*c_0110_6^16 + 3149875525/4273489609*c_0110_6^15 - 3374923279/4273489609*c_0110_6^14 - 7539012615/4273489609*c_0110_6^13 + 4096996093/4273489609*c_0110_6^12 - 30250625917/4273489609*c_0110_6^11 + 34065111139/4273489609*c_0110_6^10 + 40309256902/4273489609*c_0110_6^9 - 20462184653/4273489609*c_0110_6^8 + 75314753682/4273489609*c_0110_6^7 - 109577862466/4273489609*c_0110_6^6 - 126038312282/4273489609*c_0110_6^5 + 129750067281/4273489609*c_0110_6^4 + 48395437380/4273489609*c_0110_6^3 - 36770850893/4273489609*c_0110_6^2 + 3052077605/4273489609*c_0110_6 + 2309819336/4273489609, c_0101_1 + 629935325/4273489609*c_0110_6^17 + 299777796/4273489609*c_0110_6^16 + 2012328617/4273489609*c_0110_6^15 + 793710163/4273489609*c_0110_6^14 - 9417523229/4273489609*c_0110_6^13 - 3372071867/4273489609*c_0110_6^12 - 22047705409/4273489609*c_0110_6^11 - 4478738854/4273489609*c_0110_6^10 + 65007836980/4273489609*c_0110_6^9 + 16433192326/4273489609*c_0110_6^8 + 52263020418/4273489609*c_0110_6^7 - 12394244914/4273489609*c_0110_6^6 - 205422418923/4273489609*c_0110_6^5 - 6349147279/4273489609*c_0110_6^4 + 136353467290/4273489609*c_0110_6^3 + 19643153842/4273489609*c_0110_6^2 - 22006796969/4273489609*c_0110_6 - 558312640/4273489609, c_0101_3 + 2254907739/4273489609*c_0110_6^17 - 683399080/4273489609*c_0110_6^16 + 8319133272/4273489609*c_0110_6^15 - 4879704827/4273489609*c_0110_6^14 - 27645640607/4273489609*c_0110_6^13 + 2161487809/4273489609*c_0110_6^12 - 86370883186/4273489609*c_0110_6^11 + 53632357899/4273489609*c_0110_6^10 + 170245735361/4273489609*c_0110_6^9 - 10786316022/4273489609*c_0110_6^8 + 226526344501/4273489609*c_0110_6^7 - 208158394036/4273489609*c_0110_6^6 - 524964598759/4273489609*c_0110_6^5 + 216239784114/4273489609*c_0110_6^4 + 232145747818/4273489609*c_0110_6^3 - 42676683186/4273489609*c_0110_6^2 - 21324961109/4273489609*c_0110_6 + 4473026447/4273489609, c_0110_6^18 - c_0110_6^17 + 4*c_0110_6^16 - 5*c_0110_6^15 - 10*c_0110_6^14 + 8*c_0110_6^13 - 38*c_0110_6^12 + 51*c_0110_6^11 + 54*c_0110_6^10 - 45*c_0110_6^9 + 92*c_0110_6^8 - 159*c_0110_6^7 - 160*c_0110_6^6 + 228*c_0110_6^5 + 66*c_0110_6^4 - 86*c_0110_6^3 - 9*c_0110_6^2 + 9*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB