Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 3987501350] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1594 geometric_solution 5.36205884 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754199907692 0.083074061687 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 -1 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 1 -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 0.614698110206 0.233764068658 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 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 0.856717854186 1.804252425619 2 4 6 5 0132 3201 0132 0132 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 1 0 0 -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 0.029891252799 1.002908467445 5 6 3 2 3201 0132 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029891252799 1.002908467445 5 5 3 4 1230 3012 0132 2310 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 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 1.027338443710 1.033328986694 6 4 6 3 2031 0132 1302 0132 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 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 0.482988666146 0.513113925133 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], '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' : 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_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 30024197269781/106038980081*c_0101_3^16 + 103697080224231/106038980081*c_0101_3^15 + 403573640874832/106038980081*c_0101_3^14 + 386686567977381/106038980081*c_0101_3^13 + 691012697721100/106038980081*c_0101_3^12 - 1882924264147233/106038980081*c_0101_3^11 - 6967055023151958/106038980081*c_0101_3^10 + 1540451257661257/106038980081*c_0101_3^9 + 14223905769122154/106038980081*c_0101_3^8 + 1796109498116242/106038980081*c_0101_3^7 - 13966948795054183/106038980081*c_0101_3^6 - 4227915266260942/106038980081*c_0101_3^5 + 7672105746653063/106038980081*c_0101_3^4 + 3307708042624183/106038980081*c_0101_3^3 - 1941578507046495/106038980081*c_0101_3^2 - 1061887374856136/106038980081*c_0101_3 - 69281178761523/106038980081, c_0011_0 - 1, c_0011_4 + 2439949308540/106038980081*c_0011_5*c_0101_3^16 - 8449324632487/106038980081*c_0011_5*c_0101_3^15 - 32678491635526/106038980081*c_0011_5*c_0101_3^14 - 31273480249315/106038980081*c_0011_5*c_0101_3^13 - 56368717453795/106038980081*c_0011_5*c_0101_3^12 + 152921271263415/106038980081*c_0011_5*c_0101_3^11 + 563433661132308/106038980081*c_0011_5*c_0101_3^10 - 128262689720526/106038980081*c_0011_5*c_0101_3^9 - 1146861880309981/106038980081*c_0011_5*c_0101_3^8 - 136782589183746/106038980081*c_0011_5*c_0101_3^7 + 1124278362356022/106038980081*c_0011_5*c_0101_3^6 + 332480867524149/106038980081*c_0011_5*c_0101_3^5 - 617268307050092/106038980081*c_0011_5*c_0101_3^4 - 261460675304511/106038980081*c_0011_5*c_0101_3^3 + 156126065457427/106038980081*c_0011_5*c_0101_3^2 + 83863121694872/106038980081*c_0011_5*c_0101_3 + 5410281456971/106038980081*c_0011_5, c_0011_5^2 + 452277440107/106038980081*c_0101_3^16 - 1572498157557/106038980081*c_0101_3^15 - 6018286917598/106038980081*c_0101_3^14 - 5777646698843/106038980081*c_0101_3^13 - 10562544561850/106038980081*c_0101_3^12 + 28273199225440/106038980081*c_0101_3^11 + 103485393730909/106038980081*c_0101_3^10 - 24306443883920/106038980081*c_0101_3^9 - 209256219260762/106038980081*c_0101_3^8 - 23643568328195/106038980081*c_0101_3^7 + 204362524078912/106038980081*c_0101_3^6 + 59478407508969/106038980081*c_0101_3^5 - 112010513875758/106038980081*c_0101_3^4 - 46861520577324/106038980081*c_0101_3^3 + 28234091982695/106038980081*c_0101_3^2 + 15058861031548/106038980081*c_0101_3 + 904826163591/106038980081, c_0101_0 - 2882945249716/106038980081*c_0101_3^16 + 9947493219525/106038980081*c_0101_3^15 + 38729281763357/106038980081*c_0101_3^14 + 37417355769223/106038980081*c_0101_3^13 + 67273537267445/106038980081*c_0101_3^12 - 179287986327930/106038980081*c_0101_3^11 - 667101500363123/106038980081*c_0101_3^10 + 144344633707815/106038980081*c_0101_3^9 + 1354087591123695/106038980081*c_0101_3^8 + 171407015689751/106038980081*c_0101_3^7 - 1324705970252638/106038980081*c_0101_3^6 - 399090594884431/106038980081*c_0101_3^5 + 725781694654546/106038980081*c_0101_3^4 + 310837476190492/106038980081*c_0101_3^3 - 182985836334394/106038980081*c_0101_3^2 - 99054428461951/106038980081*c_0101_3 - 6382924336318/106038980081, c_0101_1 - 1761446272831/106038980081*c_0101_3^16 + 6133906935432/106038980081*c_0101_3^15 + 23532364824284/106038980081*c_0101_3^14 + 21941190006064/106038980081*c_0101_3^13 + 39428072782937/106038980081*c_0101_3^12 - 112524108521133/106038980081*c_0101_3^11 - 407252519328422/106038980081*c_0101_3^10 + 102088889651888/106038980081*c_0101_3^9 + 838727590765327/106038980081*c_0101_3^8 + 87873771799294/106038980081*c_0101_3^7 - 829165971747868/106038980081*c_0101_3^6 - 235047889720670/106038980081*c_0101_3^5 + 458980616651057/106038980081*c_0101_3^4 + 188980315611304/106038980081*c_0101_3^3 - 118033789301076/106038980081*c_0101_3^2 - 61875683409269/106038980081*c_0101_3 - 3722225053650/106038980081, c_0101_2 + 2439949308540/106038980081*c_0101_3^16 - 8449324632487/106038980081*c_0101_3^15 - 32678491635526/106038980081*c_0101_3^14 - 31273480249315/106038980081*c_0101_3^13 - 56368717453795/106038980081*c_0101_3^12 + 152921271263415/106038980081*c_0101_3^11 + 563433661132308/106038980081*c_0101_3^10 - 128262689720526/106038980081*c_0101_3^9 - 1146861880309981/106038980081*c_0101_3^8 - 136782589183746/106038980081*c_0101_3^7 + 1124278362356022/106038980081*c_0101_3^6 + 332480867524149/106038980081*c_0101_3^5 - 617268307050092/106038980081*c_0101_3^4 - 261460675304511/106038980081*c_0101_3^3 + 156126065457427/106038980081*c_0101_3^2 + 83969160674953/106038980081*c_0101_3 + 5410281456971/106038980081, c_0101_3^17 - 3*c_0101_3^16 - 15*c_0101_3^15 - 19*c_0101_3^14 - 29*c_0101_3^13 + 52*c_0101_3^12 + 260*c_0101_3^11 + 54*c_0101_3^10 - 495*c_0101_3^9 - 273*c_0101_3^8 + 436*c_0101_3^7 + 349*c_0101_3^6 - 191*c_0101_3^5 - 224*c_0101_3^4 + 15*c_0101_3^3 + 64*c_0101_3^2 + 18*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB