Magma V2.19-8 Tue Aug 20 2013 16:18:31 on localhost [Seed = 1141234041] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2702 geometric_solution 5.95343909 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 1 -1 0 0 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 0 0 0 1 0 0 -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 0.356407728046 1.407904693224 0 4 0 5 0132 0132 1230 0132 0 0 0 0 0 0 -1 1 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 1 -1 -1 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 0.549741598403 0.325362639604 5 0 2 2 3012 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560137863165 1.215947345274 5 5 4 0 0132 3120 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473541989171 0.366450048423 3 1 6 6 2031 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.122168513924 0.859183901552 3 3 1 2 0132 3120 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0.830222294103 0.577331739808 6 4 6 4 2031 2310 1302 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 -0.818224315591 1.407026216668 ==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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_4'], '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_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 216969162477367363/26406727743035*c_0110_4^10 - 2388108292456629/99648029219*c_0110_4^9 + 785474148398673049/26406727743035*c_0110_4^8 - 920974396136558006/26406727743035*c_0110_4^7 + 221278521343786920/5281345548607*c_0110_4^6 - 972953653961200582/26406727743035*c_0110_4^5 + 155723084574874209/5281345548607*c_0110_4^4 - 549055840475291037/26406727743035*c_0110_4^3 + 57429625156339824/5281345548607*c_0110_4^2 - 136620390383550511/26406727743035*c_0110_4 + 39331230278803766/26406727743035, c_0011_0 - 1, c_0011_3 + 131872103279824/5281345548607*c_0110_4^10 - 4369483674069/99648029219*c_0110_4^9 + 139772771759121/5281345548607*c_0110_4^8 - 259040746330188/5281345548607*c_0110_4^7 + 265293957123631/5281345548607*c_0110_4^6 - 130617624626757/5281345548607*c_0110_4^5 + 152124050607011/5281345548607*c_0110_4^4 - 50119218036414/5281345548607*c_0110_4^3 + 16292625482776/5281345548607*c_0110_4^2 - 13240997982628/5281345548607*c_0110_4 - 11955993530867/5281345548607, c_0011_6 - 395609450/71901019*c_0110_4^10 + 11623875/1356623*c_0110_4^9 - 516036551/71901019*c_0110_4^8 + 929177985/71901019*c_0110_4^7 - 654318807/71901019*c_0110_4^6 + 420738190/71901019*c_0110_4^5 - 345443861/71901019*c_0110_4^4 + 51760710/71901019*c_0110_4^3 - 41033473/71901019*c_0110_4^2 - 50410161/71901019*c_0110_4 + 1173456/71901019, c_0101_0 + 52972464839706/5281345548607*c_0110_4^10 - 1604469433869/99648029219*c_0110_4^9 + 33940973959329/5281345548607*c_0110_4^8 - 64423100547744/5281345548607*c_0110_4^7 + 61720315876648/5281345548607*c_0110_4^6 - 14038693408024/5281345548607*c_0110_4^5 + 22776580935018/5281345548607*c_0110_4^4 + 4548645834331/5281345548607*c_0110_4^3 - 10908779819957/5281345548607*c_0110_4^2 + 2361074421536/5281345548607*c_0110_4 - 3515749010654/5281345548607, c_0101_1 + 168173943863875/5281345548607*c_0110_4^10 - 6010213530718/99648029219*c_0110_4^9 + 218012020748230/5281345548607*c_0110_4^8 - 346375628731686/5281345548607*c_0110_4^7 + 370967845550427/5281345548607*c_0110_4^6 - 202494679184269/5281345548607*c_0110_4^5 + 196271154272445/5281345548607*c_0110_4^4 - 73617564924139/5281345548607*c_0110_4^3 + 24868258199412/5281345548607*c_0110_4^2 - 11536359647974/5281345548607*c_0110_4 - 12592210118484/5281345548607, c_0101_4 + 9735921087797/5281345548607*c_0110_4^10 + 150038448758/99648029219*c_0110_4^9 - 38338037818009/5281345548607*c_0110_4^8 + 20914086050971/5281345548607*c_0110_4^7 - 27016381268952/5281345548607*c_0110_4^6 + 30683350931449/5281345548607*c_0110_4^5 - 17754160865701/5281345548607*c_0110_4^4 + 12288439608355/5281345548607*c_0110_4^3 + 273843364361/5281345548607*c_0110_4^2 + 2456770101349/5281345548607*c_0110_4 + 2386457277832/5281345548607, c_0110_4^11 - 230/89*c_0110_4^10 + 237/89*c_0110_4^9 - 273/89*c_0110_4^8 + 330/89*c_0110_4^7 - 251/89*c_0110_4^6 + 190/89*c_0110_4^5 - 121/89*c_0110_4^4 + 45/89*c_0110_4^3 - 18/89*c_0110_4^2 - 2/89*c_0110_4 + 5/89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB