Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 3937105873] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2358 geometric_solution 5.73027993 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 2 0 -2 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 -0.455315853480 0.163525751544 0 3 6 5 0132 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744452061262 1.581839692757 3 0 3 4 2103 0132 3201 2103 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 -2 1 1 -1 0 1 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 0.164578441692 0.836633883875 2 1 2 0 2310 2103 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164578441692 0.836633883875 6 5 0 2 2310 0132 0132 2103 0 0 0 0 0 -1 1 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 -1 2 -1 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 0.744452061262 1.581839692757 5 4 1 5 3012 0132 0132 1230 0 0 0 0 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422244184302 0.452698080291 6 6 4 1 1302 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539357779642 0.477057084097 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0110_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), '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_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 33526427/24310799*c_1001_0^16 - 29219802/1430047*c_1001_0^15 + 3231372791/24310799*c_1001_0^14 - 12032346201/24310799*c_1001_0^13 + 27837489286/24310799*c_1001_0^12 - 39723475535/24310799*c_1001_0^11 + 1706334819/1430047*c_1001_0^10 + 6308552109/24310799*c_1001_0^9 - 39906833926/24310799*c_1001_0^8 + 43893231530/24310799*c_1001_0^7 - 20001383532/24310799*c_1001_0^6 - 5837491101/24310799*c_1001_0^5 + 14462109705/24310799*c_1001_0^4 - 8816844409/24310799*c_1001_0^3 + 1243079955/24310799*c_1001_0^2 + 1201226258/24310799*c_1001_0 - 326829904/24310799, c_0011_0 - 1, c_0011_3 + 1001577/1430047*c_1001_0^16 - 15827047/1430047*c_1001_0^15 + 110726124/1430047*c_1001_0^14 - 449023213/1430047*c_1001_0^13 + 1155522913/1430047*c_1001_0^12 - 1916527335/1430047*c_1001_0^11 + 1888304884/1430047*c_1001_0^10 - 564160318/1430047*c_1001_0^9 - 1288216008/1430047*c_1001_0^8 + 2208996104/1430047*c_1001_0^7 - 1626228092/1430047*c_1001_0^6 + 360873459/1430047*c_1001_0^5 + 458351288/1430047*c_1001_0^4 - 514653704/1430047*c_1001_0^3 + 219816601/1430047*c_1001_0^2 - 14985930/1430047*c_1001_0 - 12254987/1430047, c_0011_4 - 2020110/1430047*c_1001_0^16 + 30876259/1430047*c_1001_0^15 - 208791149/1430047*c_1001_0^14 + 817498093/1430047*c_1001_0^13 - 2026970356/1430047*c_1001_0^12 + 3222787947/1430047*c_1001_0^11 - 2988430654/1430047*c_1001_0^10 + 655245394/1430047*c_1001_0^9 + 2326667909/1430047*c_1001_0^8 - 3612173153/1430047*c_1001_0^7 + 2496661963/1430047*c_1001_0^6 - 449657480/1430047*c_1001_0^5 - 776558385/1430047*c_1001_0^4 + 801360270/1430047*c_1001_0^3 - 325314326/1430047*c_1001_0^2 + 22855443/1430047*c_1001_0 + 14571934/1430047, c_0101_0 + 1716316/1430047*c_1001_0^16 - 26459479/1430047*c_1001_0^15 + 180834554/1430047*c_1001_0^14 - 717633130/1430047*c_1001_0^13 + 1811151917/1430047*c_1001_0^12 - 2952899054/1430047*c_1001_0^11 + 2862577191/1430047*c_1001_0^10 - 818563345/1430047*c_1001_0^9 - 1986866895/1430047*c_1001_0^8 + 3363627385/1430047*c_1001_0^7 - 2476898551/1430047*c_1001_0^6 + 568685509/1430047*c_1001_0^5 + 677260516/1430047*c_1001_0^4 - 779796852/1430047*c_1001_0^3 + 344631224/1430047*c_1001_0^2 - 34546459/1430047*c_1001_0 - 16922385/1430047, c_0101_1 + 1970523/1430047*c_1001_0^16 - 30499138/1430047*c_1001_0^15 + 209151585/1430047*c_1001_0^14 - 831856185/1430047*c_1001_0^13 + 2099834170/1430047*c_1001_0^12 - 3412310749/1430047*c_1001_0^11 + 3272133818/1430047*c_1001_0^10 - 867816517/1430047*c_1001_0^9 - 2363191999/1430047*c_1001_0^8 + 3882179496/1430047*c_1001_0^7 - 2791647293/1430047*c_1001_0^6 + 582960037/1430047*c_1001_0^5 + 810715610/1430047*c_1001_0^4 - 888959857/1430047*c_1001_0^3 + 377854354/1430047*c_1001_0^2 - 29578364/1430047*c_1001_0 - 18519860/1430047, c_0110_2 + 1, c_1001_0^17 - 17*c_1001_0^16 + 130*c_1001_0^15 - 588*c_1001_0^14 + 1735*c_1001_0^13 - 3449*c_1001_0^12 + 4505*c_1001_0^11 - 3245*c_1001_0^10 - 352*c_1001_0^9 + 3868*c_1001_0^8 - 4690*c_1001_0^7 + 2722*c_1001_0^6 - 147*c_1001_0^5 - 1116*c_1001_0^4 + 955*c_1001_0^3 - 349*c_1001_0^2 + 19*c_1001_0 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB