Magma V2.19-8 Tue Aug 20 2013 16:16:23 on localhost [Seed = 1595851711] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0656 geometric_solution 4.63782290 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.276301913728 0.871996748273 0 0 3 2 0132 3201 0132 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 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 0.508313969086 0.259192892155 3 4 1 5 1230 0132 0132 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 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 0.641639362972 0.389187788189 5 2 4 1 3120 3012 0321 0132 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641639362972 0.389187788189 6 2 3 6 0132 0132 0321 3201 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 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.153887146940 0.860701588300 6 6 2 3 2031 1302 0132 3120 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 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 1.201294265838 1.125852923833 4 4 5 5 0132 2310 1302 2031 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 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 2.201294265838 1.125852923833 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(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_5'], '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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), '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_1'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 21143590374474166091/49070325729518500*c_0101_3^14 - 59171088663645302281/49070325729518500*c_0101_3^13 - 432115977953351290989/49070325729518500*c_0101_3^12 + 1079531820495135770943/24535162864759250*c_0101_3^11 - 1370037670661016932363/24535162864759250*c_0101_3^10 - 587616635348169382677/49070325729518500*c_0101_3^9 + 171733652082972848664/12267581432379625*c_0101_3^8 + 3877713803328605182293/49070325729518500*c_0101_3^7 - 2810517526892495622627/49070325729518500*c_0101_3^6 - 2030218978600637621019/49070325729518500*c_0101_3^5 + 364930781299507907221/49070325729518500*c_0101_3^4 - 165050598696700522997/24535162864759250*c_0101_3^3 + 275524173965611905203/12267581432379625*c_0101_3^2 + 47084173954829293231/4460938702683500*c_0101_3 + 108692915201845778443/49070325729518500, c_0011_0 - 1, c_0011_2 + 21859235204367/223046935134175*c_0101_3^14 + 138738695033269/446093870268350*c_0101_3^13 + 938144218402611/446093870268350*c_0101_3^12 - 2063915951193382/223046935134175*c_0101_3^11 + 3986148119615199/446093870268350*c_0101_3^10 + 1788730530196174/223046935134175*c_0101_3^9 - 1506144028955419/446093870268350*c_0101_3^8 - 8513461713876957/446093870268350*c_0101_3^7 + 1787574270290899/223046935134175*c_0101_3^6 + 6495971558890631/446093870268350*c_0101_3^5 - 35434393062077/223046935134175*c_0101_3^4 + 72944491011681/446093870268350*c_0101_3^3 - 1579476519432163/446093870268350*c_0101_3^2 - 959942807544692/223046935134175*c_0101_3 - 391439904696107/446093870268350, c_0011_3 - 21859235204367/223046935134175*c_0101_3^14 - 138738695033269/446093870268350*c_0101_3^13 - 938144218402611/446093870268350*c_0101_3^12 + 2063915951193382/223046935134175*c_0101_3^11 - 3986148119615199/446093870268350*c_0101_3^10 - 1788730530196174/223046935134175*c_0101_3^9 + 1506144028955419/446093870268350*c_0101_3^8 + 8513461713876957/446093870268350*c_0101_3^7 - 1787574270290899/223046935134175*c_0101_3^6 - 6495971558890631/446093870268350*c_0101_3^5 + 35434393062077/223046935134175*c_0101_3^4 - 72944491011681/446093870268350*c_0101_3^3 + 1579476519432163/446093870268350*c_0101_3^2 + 959942807544692/223046935134175*c_0101_3 + 391439904696107/446093870268350, c_0011_5 - 154656677015924/1115234675670875*c_0101_3^14 - 1017839134711493/2230469351341750*c_0101_3^13 - 3368241903483071/1115234675670875*c_0101_3^12 + 14240135098946529/1115234675670875*c_0101_3^11 - 12199716679231189/1115234675670875*c_0101_3^10 - 15007749849265503/1115234675670875*c_0101_3^9 + 9476298020458343/2230469351341750*c_0101_3^8 + 59538065137437629/2230469351341750*c_0101_3^7 - 13211583822116831/2230469351341750*c_0101_3^6 - 54908677434163207/2230469351341750*c_0101_3^5 - 3395399620516337/2230469351341750*c_0101_3^4 - 328386360939007/2230469351341750*c_0101_3^3 + 6819174073826318/1115234675670875*c_0101_3^2 + 13401081222161423/2230469351341750*c_0101_3 + 1450012760683452/1115234675670875, c_0101_0 - 613505893/21136480250*c_0101_3^14 - 1586651713/21136480250*c_0101_3^13 - 12567802947/21136480250*c_0101_3^12 + 32162340814/10568240125*c_0101_3^11 - 100710667623/21136480250*c_0101_3^10 + 21055148002/10568240125*c_0101_3^9 - 21263134531/10568240125*c_0101_3^8 + 67206260207/10568240125*c_0101_3^7 - 61320701473/10568240125*c_0101_3^6 + 12995598444/10568240125*c_0101_3^5 - 15986280846/10568240125*c_0101_3^4 + 123291463/21136480250*c_0101_3^3 + 8302136201/21136480250*c_0101_3^2 - 2463794516/10568240125*c_0101_3 + 6810953282/10568240125, c_0101_1 - 954198635624003/2230469351341750*c_0101_3^14 - 2700578783623473/2230469351341750*c_0101_3^13 - 19576303666291137/2230469351341750*c_0101_3^12 + 48411851023830844/1115234675670875*c_0101_3^11 - 120457598697746333/2230469351341750*c_0101_3^10 - 15967233673166583/1115234675670875*c_0101_3^9 + 16617894368303224/1115234675670875*c_0101_3^8 + 87029769331593472/1115234675670875*c_0101_3^7 - 60571274451120308/1115234675670875*c_0101_3^6 - 50105581416292176/1115234675670875*c_0101_3^5 + 9401274911667234/1115234675670875*c_0101_3^4 - 16273802837848527/2230469351341750*c_0101_3^3 + 50592490979123471/2230469351341750*c_0101_3^2 + 11806892492892664/1115234675670875*c_0101_3 + 1865069174106422/1115234675670875, c_0101_3^15 + 3*c_0101_3^14 + 21*c_0101_3^13 - 98*c_0101_3^12 + 109*c_0101_3^11 + 54*c_0101_3^10 - 27*c_0101_3^9 - 190*c_0101_3^8 + 96*c_0101_3^7 + 123*c_0101_3^6 + 2*c_0101_3^5 + 12*c_0101_3^4 - 49*c_0101_3^3 - 35*c_0101_3^2 - 10*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB