Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 526287395] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2698 geometric_solution 5.95227869 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 1 1 -2 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 0.897833441437 1.981128828026 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 -1 1 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 -1 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 0.237939044266 0.329429557179 5 3 3 0 0132 2031 1230 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 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 0.430118140964 0.367406736639 2 4 0 2 1302 2310 0132 3012 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 -1 2 -1 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 0.430118140964 0.367406736639 6 1 5 3 0132 0132 2310 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 -1 1 0 1 0 0 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455076827794 1.107662880301 2 4 1 6 0132 3201 0132 3201 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 -1 0 1 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 0.455076827794 1.107662880301 4 5 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 0 0 -1 0 1 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 1.228904221435 1.502983952906 ==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' : negation(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_0101_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_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_2, c_0101_0, c_0101_2, c_0101_4, c_0110_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 67162656523/2328637982*c_1001_1^13 - 895281108499/2328637982*c_1001_1^12 - 1784259003419/2328637982*c_1001_1^11 + 133575759697/2328637982*c_1001_1^10 + 4762866278165/2328637982*c_1001_1^9 + 6627641986527/2328637982*c_1001_1^8 - 174257740015/211694362*c_1001_1^7 - 6569588571003/1164318991*c_1001_1^6 - 5049510717551/2328637982*c_1001_1^5 + 5150147004220/1164318991*c_1001_1^4 + 5490654661823/2328637982*c_1001_1^3 - 1823773918248/1164318991*c_1001_1^2 - 749608469611/1164318991*c_1001_1 + 247042083012/1164318991, c_0011_0 - 1, c_0011_2 - 6906635/19244942*c_1001_1^13 - 96078939/19244942*c_1001_1^12 - 238355507/19244942*c_1001_1^11 - 111405165/19244942*c_1001_1^10 + 457711243/19244942*c_1001_1^9 + 951367791/19244942*c_1001_1^8 + 287652111/19244942*c_1001_1^7 - 649116725/9622471*c_1001_1^6 - 1267287885/19244942*c_1001_1^5 + 265756832/9622471*c_1001_1^4 + 960561305/19244942*c_1001_1^3 + 19077376/9622471*c_1001_1^2 - 106938560/9622471*c_1001_1 - 16159635/9622471, c_0101_0 - c_1001_1, c_0101_2 + 6263646/9622471*c_1001_1^13 + 85330643/9622471*c_1001_1^12 + 381176525/19244942*c_1001_1^11 + 32689823/9622471*c_1001_1^10 - 908351477/19244942*c_1001_1^9 - 1518263303/19244942*c_1001_1^8 - 6669450/9622471*c_1001_1^7 + 2572333991/19244942*c_1001_1^6 + 1702777001/19244942*c_1001_1^5 - 1590856783/19244942*c_1001_1^4 - 791372777/9622471*c_1001_1^3 + 307710705/19244942*c_1001_1^2 + 421946901/19244942*c_1001_1 - 2300476/9622471, c_0101_4 - 9789363/19244942*c_1001_1^13 - 64457818/9622471*c_1001_1^12 - 119536124/9622471*c_1001_1^11 + 30643861/9622471*c_1001_1^10 + 696223079/19244942*c_1001_1^9 + 887626477/19244942*c_1001_1^8 - 199151015/9622471*c_1001_1^7 - 949003558/9622471*c_1001_1^6 - 276091651/9622471*c_1001_1^5 + 1499635199/19244942*c_1001_1^4 + 333654859/9622471*c_1001_1^3 - 442419491/19244942*c_1001_1^2 - 81819409/9622471*c_1001_1 + 10103627/19244942, c_0110_3 + 8435561/19244942*c_1001_1^13 + 57084812/9622471*c_1001_1^12 + 124248366/9622471*c_1001_1^11 + 46082007/19244942*c_1001_1^10 - 586340793/19244942*c_1001_1^9 - 486481223/9622471*c_1001_1^8 + 1680979/19244942*c_1001_1^7 + 817789469/9622471*c_1001_1^6 + 1060462619/19244942*c_1001_1^5 - 510274904/9622471*c_1001_1^4 - 966779965/19244942*c_1001_1^3 + 241861361/19244942*c_1001_1^2 + 241851357/19244942*c_1001_1 - 6203721/9622471, c_1001_1^14 + 13*c_1001_1^13 + 22*c_1001_1^12 - 13*c_1001_1^11 - 75*c_1001_1^10 - 76*c_1001_1^9 + 72*c_1001_1^8 + 204*c_1001_1^7 + 10*c_1001_1^6 - 208*c_1001_1^5 - 48*c_1001_1^4 + 100*c_1001_1^3 + 19*c_1001_1^2 - 19*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB