Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 172726140] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3025 geometric_solution 6.19590760 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 1 0 0 -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 -0.008431798859 1.295222208558 0 3 4 2 0132 0132 0132 1230 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 -1 0 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 0.657558086614 0.742909417136 1 5 3 0 3012 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.657558086614 0.742909417136 2 1 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859286729356 0.499764201709 6 5 5 1 0321 1302 3201 0132 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 -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 1.213644595355 0.989985720150 4 2 6 4 2310 0132 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 1.213644595355 0.989985720150 4 3 5 3 0321 2310 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918091677275 0.399349927630 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_2'], '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_4, c_0011_6, c_0101_2, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11391821945/401151763*c_1001_1^13 - 46064554739/401151763*c_1001_1^12 - 120495564883/401151763*c_1001_1^11 + 538583690824/401151763*c_1001_1^10 - 145679844183/401151763*c_1001_1^9 - 1143839654615/401151763*c_1001_1^8 + 1272062481087/401151763*c_1001_1^7 + 207792255621/401151763*c_1001_1^6 - 1242706693313/401151763*c_1001_1^5 + 665948305735/401151763*c_1001_1^4 + 12806507241/17441381*c_1001_1^3 - 323333011536/401151763*c_1001_1^2 + 6890545093/401151763*c_1001_1 + 11803489253/401151763, c_0011_0 - 1, c_0011_2 + 92225797/401151763*c_1001_1^13 - 348985554/401151763*c_1001_1^12 - 1129242742/401151763*c_1001_1^11 + 4313177174/401151763*c_1001_1^10 + 605768444/401151763*c_1001_1^9 - 11833717310/401151763*c_1001_1^8 + 8053060316/401151763*c_1001_1^7 + 8401454097/401151763*c_1001_1^6 - 14068820229/401151763*c_1001_1^5 + 3140669101/401151763*c_1001_1^4 + 300985614/17441381*c_1001_1^3 - 4295934992/401151763*c_1001_1^2 - 578398843/401151763*c_1001_1 + 649701350/401151763, c_0011_4 - c_1001_1, c_0011_6 + 94554552/401151763*c_1001_1^13 - 355877898/401151763*c_1001_1^12 - 1132704137/401151763*c_1001_1^11 + 4260590295/401151763*c_1001_1^10 + 395788557/401151763*c_1001_1^9 - 10547416670/401151763*c_1001_1^8 + 7340472438/401151763*c_1001_1^7 + 6198488872/401151763*c_1001_1^6 - 10183795972/401151763*c_1001_1^5 + 1584455120/401151763*c_1001_1^4 + 191841168/17441381*c_1001_1^3 - 1408606077/401151763*c_1001_1^2 - 1239218919/401151763*c_1001_1 + 130317320/401151763, c_0101_2 + 233794061/401151763*c_1001_1^13 - 908423279/401151763*c_1001_1^12 - 2647178269/401151763*c_1001_1^11 + 10822938686/401151763*c_1001_1^10 - 1200488428/401151763*c_1001_1^9 - 25758411509/401151763*c_1001_1^8 + 24996516345/401151763*c_1001_1^7 + 10118350615/401151763*c_1001_1^6 - 30519625881/401151763*c_1001_1^5 + 13631622558/401151763*c_1001_1^4 + 368121529/17441381*c_1001_1^3 - 8009154143/401151763*c_1001_1^2 - 116202935/401151763*c_1001_1 + 527621668/401151763, c_0101_4 + 76361526/401151763*c_1001_1^13 - 190466188/401151763*c_1001_1^12 - 1146423608/401151763*c_1001_1^11 + 1932271012/401151763*c_1001_1^10 + 2737848215/401151763*c_1001_1^9 - 4477318974/401151763*c_1001_1^8 - 827999702/401151763*c_1001_1^7 + 3469899766/401151763*c_1001_1^6 - 563568825/401151763*c_1001_1^5 - 1704736717/401151763*c_1001_1^4 - 7625/17441381*c_1001_1^3 + 2019474420/401151763*c_1001_1^2 + 142374185/401151763*c_1001_1 - 343157331/401151763, c_1001_1^14 - 4*c_1001_1^13 - 11*c_1001_1^12 + 48*c_1001_1^11 - 9*c_1001_1^10 - 114*c_1001_1^9 + 120*c_1001_1^8 + 39*c_1001_1^7 - 147*c_1001_1^6 + 76*c_1001_1^5 + 39*c_1001_1^4 - 47*c_1001_1^3 + 5*c_1001_1^2 + 4*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB