Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 307465948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0327 geometric_solution 4.35865764 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2.327104089924 0.127815332702 0 2 2 0 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -1.111879062120 0.506402542997 1 1 3 3 2310 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 -1 0 1 1 0 -1 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 0.164359473646 0.139527508734 4 2 5 2 0132 2310 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 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 0.368327049522 1.763183055648 3 6 6 5 0132 0132 1023 1230 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 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 0.378739614946 0.799134340400 4 6 6 3 3012 2310 3201 0132 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 -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 0.378739614946 0.799134340400 5 4 4 5 2310 0132 1023 3201 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 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 1.515715021366 1.021833316859 ==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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], '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_3']), 'c_0011_6' : d['c_0011_3'], '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_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/12, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 - 1, c_0101_0 + c_0101_2, c_0101_1 - 2, c_0101_2^2 - 3, c_0101_6 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 4589137688608775269/3485944741597417216*c_0101_6^12 + 3045804738771310039/3485944741597417216*c_0101_6^11 - 22747313074718803403/3485944741597417216*c_0101_6^10 - 20648616659567199363/108935773174919288*c_0101_6^9 + 426068979686942067667/871486185399354304*c_0101_6^8 + 537665962557847517989/3485944741597417216*c_0101_6^7 - 5125672202741405944969/3485944741597417216*c_0101_6^6 - 19949811225934822443/217871546349838576*c_0101_6^5 + 3128163117208069478999/871486185399354304*c_0101_6^4 - 1131897242876894604575/435743092699677152*c_0101_6^3 - 50395480347164258385/108935773174919288*c_0101_6^2 + 41182165781000140487/54467886587459644*c_0101_6 - 12075959118633843027/54467886587459644, c_0011_0 - 1, c_0011_3 + 102959146589925/8379674859609176*c_0101_6^12 + 375253034548887/16759349719218352*c_0101_6^11 - 608154284094895/16759349719218352*c_0101_6^10 - 30372547590597339/16759349719218352*c_0101_6^9 + 10351296146455973/4189837429804588*c_0101_6^8 + 37675186846753411/8379674859609176*c_0101_6^7 - 150332866175139065/16759349719218352*c_0101_6^6 - 195178236534301585/16759349719218352*c_0101_6^5 + 90873565209263701/4189837429804588*c_0101_6^4 + 5526795476508197/4189837429804588*c_0101_6^3 - 14456098067654637/2094918714902294*c_0101_6^2 + 2621483060851751/2094918714902294*c_0101_6 + 998068858298316/1047459357451147, c_0011_5 - 455478375724999/67037398876873408*c_0101_6^12 - 1199324167074161/67037398876873408*c_0101_6^11 + 629986303287501/67037398876873408*c_0101_6^10 + 17040920062626833/16759349719218352*c_0101_6^9 - 9256788212419707/16759349719218352*c_0101_6^8 - 234514112168447551/67037398876873408*c_0101_6^7 + 193899477735489103/67037398876873408*c_0101_6^6 + 169161470081682357/16759349719218352*c_0101_6^5 - 109071359392178779/16759349719218352*c_0101_6^4 - 10271157642486939/1047459357451147*c_0101_6^3 + 5422253095925059/2094918714902294*c_0101_6^2 + 1707042891354484/1047459357451147*c_0101_6 - 882500684903665/1047459357451147, c_0101_0 + 601367012410045/67037398876873408*c_0101_2*c_0101_6^12 + 384642595008765/67037398876873408*c_0101_2*c_0101_6^11 - 2770216704267049/67037398876873408*c_0101_2*c_0101_6^10 - 43101218830461901/33518699438436704*c_0101_2*c_0101_6^9 + 56126251369470157/16759349719218352*c_0101_2*c_0101_6^8 + 32685047039454365/67037398876873408*c_0101_2*c_0101_6^7 - 615512043422868275/67037398876873408*c_0101_2*c_0101_6^6 + 25937883134696573/33518699438436704*c_0101_2*c_0101_6^5 + 356683696178772937/16759349719218352*c_0101_2*c_0101_6^4 - 177608347321854009/8379674859609176*c_0101_2*c_0101_6^3 + 11071709031583271/2094918714902294*c_0101_2*c_0101_6^2 + 11344851642437819/2094918714902294*c_0101_2*c_0101_6 - 6278301594427494/1047459357451147*c_0101_2, c_0101_1 + 23515974240143/2094918714902294*c_0101_6^12 + 394672471962699/33518699438436704*c_0101_6^11 - 1587060737183387/33518699438436704*c_0101_6^10 - 54586000641531417/33518699438436704*c_0101_6^9 + 29564143391367665/8379674859609176*c_0101_6^8 + 17768441216747999/8379674859609176*c_0101_6^7 - 363276228833011909/33518699438436704*c_0101_6^6 - 123405876700130107/33518699438436704*c_0101_6^5 + 219772391439382419/8379674859609176*c_0101_6^4 - 126397982818090185/8379674859609176*c_0101_6^3 - 10265274359693427/4189837429804588*c_0101_6^2 + 9461461991726465/2094918714902294*c_0101_6 - 1953004841005454/1047459357451147, c_0101_2^2 + 371922895674581/67037398876873408*c_0101_6^12 + 823702787668747/67037398876873408*c_0101_6^11 - 831918697328739/67037398876873408*c_0101_6^10 - 6909240055326303/8379674859609176*c_0101_6^9 + 6657793036857677/8379674859609176*c_0101_6^8 + 165178066361992373/67037398876873408*c_0101_6^7 - 220354040850589973/67037398876873408*c_0101_6^6 - 56654050879286371/8379674859609176*c_0101_6^5 + 16647854902636925/2094918714902294*c_0101_6^4 + 35158809756374781/8379674859609176*c_0101_6^3 - 7309286006055621/2094918714902294*c_0101_6^2 - 241967221135666/1047459357451147*c_0101_6 + 455478375724999/1047459357451147, c_0101_6^13 + c_0101_6^12 - 5*c_0101_6^11 - 146*c_0101_6^10 + 324*c_0101_6^9 + 281*c_0101_6^8 - 1151*c_0101_6^7 - 518*c_0101_6^6 + 2948*c_0101_6^5 - 896*c_0101_6^4 - 1616*c_0101_6^3 + 640*c_0101_6^2 + 192*c_0101_6 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB