Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3819077350] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3471 geometric_solution 6.68363733 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 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 0.599469872785 0.716157298182 0 2 2 5 0132 1302 0321 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 -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 0.603237820571 0.699771640679 3 0 1 1 1302 0132 0321 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 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 1.187398836057 1.143684671728 4 2 6 0 0213 2031 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282807603022 0.805369222112 3 5 0 5 0213 1302 0132 2310 0 0 0 0 0 -1 0 1 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 1 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603237820571 0.699771640679 4 6 1 4 3201 0132 0132 2031 0 0 0 0 0 0 0 0 -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 -1 0 0 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 1.153398092377 1.157131671008 6 5 6 3 2310 0132 3201 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 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 0.274499938217 0.869299722773 ==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' : d['c_0011_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_2']), 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_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_3, c_0011_4, c_0011_5, c_0101_0, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 178812195044/63404085*c_0110_5^18 - 911755587314/63404085*c_0110_5^17 - 803814974201/63404085*c_0110_5^16 + 10629378559792/63404085*c_0110_5^15 - 2138816495284/21134695*c_0110_5^14 - 16119479813648/21134695*c_0110_5^13 + 12365463353380/12680817*c_0110_5^12 + 96871067239679/63404085*c_0110_5^11 - 198769343876191/63404085*c_0110_5^10 - 13464128208526/21134695*c_0110_5^9 + 93835269199042/21134695*c_0110_5^8 - 27964187116820/12680817*c_0110_5^7 - 39964645177729/21134695*c_0110_5^6 + 174418245549598/63404085*c_0110_5^5 - 69495004898371/63404085*c_0110_5^4 - 27982849389659/63404085*c_0110_5^3 + 36748869555694/63404085*c_0110_5^2 - 10975558821328/63404085*c_0110_5 + 601134998788/21134695, c_0011_0 - 1, c_0011_3 + 12582307/38042451*c_0110_5^18 - 17625610/12680817*c_0110_5^17 - 98379821/38042451*c_0110_5^16 + 641844496/38042451*c_0110_5^15 + 64865447/38042451*c_0110_5^14 - 1042883621/12680817*c_0110_5^13 + 1779413311/38042451*c_0110_5^12 + 7347887327/38042451*c_0110_5^11 - 7731590005/38042451*c_0110_5^10 - 7124440307/38042451*c_0110_5^9 + 4379487409/12680817*c_0110_5^8 - 1356193664/38042451*c_0110_5^7 - 8300842775/38042451*c_0110_5^6 + 6393187109/38042451*c_0110_5^5 - 50759438/4226939*c_0110_5^4 - 716204258/12680817*c_0110_5^3 + 1084860961/38042451*c_0110_5^2 - 4753960/4226939*c_0110_5 - 9375197/38042451, c_0011_4 + 716750/12680817*c_0110_5^18 - 1224853/4226939*c_0110_5^17 - 4075219/12680817*c_0110_5^16 + 44787617/12680817*c_0110_5^15 - 14909024/12680817*c_0110_5^14 - 73167386/4226939*c_0110_5^13 + 195101102/12680817*c_0110_5^12 + 518608921/12680817*c_0110_5^11 - 685062200/12680817*c_0110_5^10 - 507347713/12680817*c_0110_5^9 + 359146544/4226939*c_0110_5^8 - 97118992/12680817*c_0110_5^7 - 644755030/12680817*c_0110_5^6 + 486150835/12680817*c_0110_5^5 - 20537417/4226939*c_0110_5^4 - 66750754/4226939*c_0110_5^3 + 98590469/12680817*c_0110_5^2 + 2171025/4226939*c_0110_5 + 706511/12680817, c_0011_5 - 27165746/38042451*c_0110_5^18 + 10959786/4226939*c_0110_5^17 + 276425911/38042451*c_0110_5^16 - 1243689863/38042451*c_0110_5^15 - 951837832/38042451*c_0110_5^14 + 2132376727/12680817*c_0110_5^13 + 371359978/38042451*c_0110_5^12 - 16526558629/38042451*c_0110_5^11 + 5663579405/38042451*c_0110_5^10 + 20673900463/38042451*c_0110_5^9 - 4742353796/12680817*c_0110_5^8 - 7660964099/38042451*c_0110_5^7 + 12060405028/38042451*c_0110_5^6 - 5549196919/38042451*c_0110_5^5 - 712997782/12680817*c_0110_5^4 + 1009166276/12680817*c_0110_5^3 - 294370577/38042451*c_0110_5^2 + 45379241/12680817*c_0110_5 + 25662046/38042451, c_0101_0 - 3893027/4226939*c_0110_5^18 + 45146054/12680817*c_0110_5^17 + 108900373/12680817*c_0110_5^16 - 564130535/12680817*c_0110_5^15 - 278139023/12680817*c_0110_5^14 + 953722367/4226939*c_0110_5^13 - 183455497/4226939*c_0110_5^12 - 7196501767/12680817*c_0110_5^11 + 4398319046/12680817*c_0110_5^10 + 8389227686/12680817*c_0110_5^9 - 2953273374/4226939*c_0110_5^8 - 603578833/4226939*c_0110_5^7 + 6634362443/12680817*c_0110_5^6 - 1276400676/4226939*c_0110_5^5 - 570503024/12680817*c_0110_5^4 + 1716701327/12680817*c_0110_5^3 - 493654856/12680817*c_0110_5^2 + 19098475/12680817*c_0110_5 + 12924797/12680817, c_0110_2 - 12520367/38042451*c_0110_5^18 + 20887925/12680817*c_0110_5^17 + 72388780/38042451*c_0110_5^16 - 764692694/38042451*c_0110_5^15 + 252762812/38042451*c_0110_5^14 + 1249402939/12680817*c_0110_5^13 - 3374439119/38042451*c_0110_5^12 - 8806757200/38042451*c_0110_5^11 + 11787678413/38042451*c_0110_5^10 + 8262931720/38042451*c_0110_5^9 - 6097706057/12680817*c_0110_5^8 + 2683093798/38042451*c_0110_5^7 + 10692134650/38042451*c_0110_5^6 - 8989721728/38042451*c_0110_5^5 + 117712505/4226939*c_0110_5^4 + 1014683056/12680817*c_0110_5^3 - 1483433336/38042451*c_0110_5^2 + 12751408/4226939*c_0110_5 + 21895564/38042451, c_0110_5^19 - 5*c_0110_5^18 - 5*c_0110_5^17 + 59*c_0110_5^16 - 30*c_0110_5^15 - 274*c_0110_5^14 + 319*c_0110_5^13 + 576*c_0110_5^12 - 1058*c_0110_5^11 - 336*c_0110_5^10 + 1552*c_0110_5^9 - 626*c_0110_5^8 - 748*c_0110_5^7 + 909*c_0110_5^6 - 292*c_0110_5^5 - 195*c_0110_5^4 + 190*c_0110_5^3 - 41*c_0110_5^2 + 4*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB