Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 3381155066] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2691 geometric_solution 5.94835305 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 0 0 0 0 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 -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 0.906993816006 0.885053267888 0 0 5 4 0132 3120 0132 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 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 0.382749000185 0.409996964539 4 5 4 0 0132 3012 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642523751009 0.393381120918 6 4 0 6 0132 3120 0132 3201 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 -1 1 -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 0.454551214056 0.412111675403 2 3 1 2 0132 3120 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742625109306 1.015297648396 2 5 5 1 1230 1230 3012 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783356881030 1.303256142965 3 3 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.673330817303 0.812916341667 ==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_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_2'], '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' : negation(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_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), '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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 82977945/5657*c_0101_6^16 + 280145227/5657*c_0101_6^15 + 1005699635/5657*c_0101_6^14 - 5682277829/5657*c_0101_6^13 + 6314011775/5657*c_0101_6^12 + 14466111960/5657*c_0101_6^11 - 52434393039/5657*c_0101_6^10 + 62985820238/5657*c_0101_6^9 - 20819331502/5657*c_0101_6^8 - 27439756168/5657*c_0101_6^7 + 27464718231/5657*c_0101_6^6 - 1310349745/5657*c_0101_6^5 - 6833252115/5657*c_0101_6^4 + 559084505/5657*c_0101_6^3 + 2153512326/5657*c_0101_6^2 - 960325021/5657*c_0101_6 + 126692935/5657, c_0011_0 - 1, c_0011_2 + 19414175/5657*c_0101_6^16 - 67845017/5657*c_0101_6^15 - 228344336/5657*c_0101_6^14 + 1359831269/5657*c_0101_6^13 - 1624208257/5657*c_0101_6^12 - 3261800229/5657*c_0101_6^11 + 12714262028/5657*c_0101_6^10 - 16034015456/5657*c_0101_6^9 + 6152929749/5657*c_0101_6^8 + 6310585821/5657*c_0101_6^7 - 7236247898/5657*c_0101_6^6 + 778066776/5657*c_0101_6^5 + 1738694946/5657*c_0101_6^4 - 272437090/5657*c_0101_6^3 - 541350147/5657*c_0101_6^2 + 271540426/5657*c_0101_6 - 38908618/5657, c_0011_3 - 19494443/5657*c_0101_6^16 + 68375280/5657*c_0101_6^15 + 228586861/5657*c_0101_6^14 - 1368879363/5657*c_0101_6^13 + 1646086016/5657*c_0101_6^12 + 3264893896/5657*c_0101_6^11 - 12816315063/5657*c_0101_6^10 + 16230084924/5657*c_0101_6^9 - 6294163171/5657*c_0101_6^8 - 6340083134/5657*c_0101_6^7 + 7347094147/5657*c_0101_6^6 - 817941612/5657*c_0101_6^5 - 1762975090/5657*c_0101_6^4 + 284476426/5657*c_0101_6^3 + 548167921/5657*c_0101_6^2 - 276550731/5657*c_0101_6 + 39728518/5657, c_0011_5 - 21410960/5657*c_0101_6^16 + 73923257/5657*c_0101_6^15 + 254590434/5657*c_0101_6^14 - 1487907106/5657*c_0101_6^13 + 1733207061/5657*c_0101_6^12 + 3647420108/5657*c_0101_6^11 - 13848014451/5657*c_0101_6^10 + 17167624677/5657*c_0101_6^9 - 6267796412/5657*c_0101_6^8 - 7012876300/5657*c_0101_6^7 + 7658220214/5657*c_0101_6^6 - 663622476/5657*c_0101_6^5 - 1863737183/5657*c_0101_6^4 + 241934547/5657*c_0101_6^3 + 582564965/5657*c_0101_6^2 - 280312885/5657*c_0101_6 + 39067219/5657, c_0101_0 + 25714331/5657*c_0101_6^16 - 88863576/5657*c_0101_6^15 - 305526052/5657*c_0101_6^14 + 1788088958/5657*c_0101_6^13 - 2086613610/5657*c_0101_6^12 - 4376980168/5657*c_0101_6^11 + 16647720721/5657*c_0101_6^10 - 20661490998/5657*c_0101_6^9 + 7566425602/5657*c_0101_6^8 + 8423472899/5657*c_0101_6^7 - 9224588154/5657*c_0101_6^6 + 809230427/5657*c_0101_6^5 + 2244263614/5657*c_0101_6^4 - 294194008/5657*c_0101_6^3 - 701260154/5657*c_0101_6^2 + 337935109/5657*c_0101_6 - 47130948/5657, c_0101_5 - 4691452/5657*c_0101_6^16 + 17207270/5657*c_0101_6^15 + 52799589/5657*c_0101_6^14 - 339504666/5657*c_0101_6^13 + 443235205/5657*c_0101_6^12 + 748913722/5657*c_0101_6^11 - 3231075568/5657*c_0101_6^10 + 4317002194/5657*c_0101_6^9 - 1908018399/5657*c_0101_6^8 - 1505065894/5657*c_0101_6^7 + 2023621692/5657*c_0101_6^6 - 335463946/5657*c_0101_6^5 - 470708319/5657*c_0101_6^4 + 109985003/5657*c_0101_6^3 + 144283230/5657*c_0101_6^2 - 80638883/5657*c_0101_6 + 12294400/5657, c_0101_6^17 - 4*c_0101_6^16 - 10*c_0101_6^15 + 76*c_0101_6^14 - 119*c_0101_6^13 - 126*c_0101_6^12 + 740*c_0101_6^11 - 1156*c_0101_6^10 + 732*c_0101_6^9 + 167*c_0101_6^8 - 537*c_0101_6^7 + 227*c_0101_6^6 + 70*c_0101_6^5 - 59*c_0101_6^4 - 21*c_0101_6^3 + 28*c_0101_6^2 - 9*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB