Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 4122241319] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1297 geometric_solution 5.18863156 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 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 1 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 0 0 0 0.505979035226 0.600966690903 0 3 5 4 0132 3201 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 -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 0.101974575392 2.485775838694 4 0 3 3 3201 0132 0213 3120 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 -1 0 1 -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 0.377558261194 0.345297059387 2 2 1 0 3120 0213 2310 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377558261194 0.345297059387 5 1 0 2 1023 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.101974575392 2.485775838694 6 4 6 1 0132 1023 2310 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 0.067464801891 0.655220631572 5 5 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357130341849 0.105487020033 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], '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_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 3286733963584/1689559277*c_1001_2^16 - 1934012863232/1689559277*c_1001_2^15 - 11722249877728/1689559277*c_1001_2^14 + 8202540939168/1689559277*c_1001_2^13 + 21850733059164/1689559277*c_1001_2^12 - 104444122376/10494157*c_1001_2^11 - 25754422266565/1689559277*c_1001_2^10 + 21579454045783/1689559277*c_1001_2^9 + 20362213475473/1689559277*c_1001_2^8 - 2603266064473/241365611*c_1001_2^7 - 10352891650378/1689559277*c_1001_2^6 + 9709293525242/1689559277*c_1001_2^5 + 3086534416094/1689559277*c_1001_2^4 - 2821376031835/1689559277*c_1001_2^3 - 425989586097/1689559277*c_1001_2^2 + 46194906112/241365611*c_1001_2 + 15970374874/1689559277, c_0011_0 - 1, c_0011_3 - 1058208128/10494157*c_1001_2^16 + 845542592/10494157*c_1001_2^15 + 3605939904/10494157*c_1001_2^14 - 3023256992/10494157*c_1001_2^13 - 6474816552/10494157*c_1001_2^12 + 5687020340/10494157*c_1001_2^11 + 7436684310/10494157*c_1001_2^10 - 6710793713/10494157*c_1001_2^9 - 5761897023/10494157*c_1001_2^8 + 5236433066/10494157*c_1001_2^7 + 2939321107/10494157*c_1001_2^6 - 2502254358/10494157*c_1001_2^5 - 941890128/10494157*c_1001_2^4 + 625035465/10494157*c_1001_2^3 + 170250390/10494157*c_1001_2^2 - 61532450/10494157*c_1001_2 - 6801964/10494157, c_0011_4 + 681620672/10494157*c_1001_2^16 - 244320704/10494157*c_1001_2^15 - 2300722656/10494157*c_1001_2^14 + 967559552/10494157*c_1001_2^13 + 4182955524/10494157*c_1001_2^12 - 1895491996/10494157*c_1001_2^11 - 4904561535/10494157*c_1001_2^10 + 2306478220/10494157*c_1001_2^9 + 3919991913/10494157*c_1001_2^8 - 1846700745/10494157*c_1001_2^7 - 2095107590/10494157*c_1001_2^6 + 916704836/10494157*c_1001_2^5 + 703343465/10494157*c_1001_2^4 - 264580051/10494157*c_1001_2^3 - 132515696/10494157*c_1001_2^2 + 49320457/10494157*c_1001_2 + 11167325/10494157, c_0101_0 - c_1001_2, c_0101_1 + 1772916928/10494157*c_1001_2^16 - 878630720/10494157*c_1001_2^15 - 6351741408/10494157*c_1001_2^14 + 3581369536/10494157*c_1001_2^13 + 11864636804/10494157*c_1001_2^12 - 7266404516/10494157*c_1001_2^11 - 14167628031/10494157*c_1001_2^10 + 9131997378/10494157*c_1001_2^9 + 11418572743/10494157*c_1001_2^8 - 7547808503/10494157*c_1001_2^7 - 6081431552/10494157*c_1001_2^6 + 3835515543/10494157*c_1001_2^5 + 2003770189/10494157*c_1001_2^4 - 1027257175/10494157*c_1001_2^3 - 378993816/10494157*c_1001_2^2 + 107693954/10494157*c_1001_2 + 44955096/10494157, c_0101_5 - 3253368128/10494157*c_1001_2^16 + 2098690304/10494157*c_1001_2^15 + 11828248864/10494157*c_1001_2^14 - 8362733088/10494157*c_1001_2^13 - 22233021180/10494157*c_1001_2^12 + 16728616136/10494157*c_1001_2^11 + 26747293985/10494157*c_1001_2^10 - 20948990207/10494157*c_1001_2^9 - 21777886362/10494157*c_1001_2^8 + 17345280072/10494157*c_1001_2^7 + 11842939035/10494157*c_1001_2^6 - 8979468594/10494157*c_1001_2^5 - 4101491502/10494157*c_1001_2^4 + 2504463679/10494157*c_1001_2^3 + 855907587/10494157*c_1001_2^2 - 278808138/10494157*c_1001_2 - 94387295/10494157, c_1001_2^17 - c_1001_2^16 - 7/2*c_1001_2^15 + 4*c_1001_2^14 + 99/16*c_1001_2^13 - 129/16*c_1001_2^12 - 433/64*c_1001_2^11 + 41/4*c_1001_2^10 + 75/16*c_1001_2^9 - 279/32*c_1001_2^8 - 29/16*c_1001_2^7 + 307/64*c_1001_2^6 + 13/64*c_1001_2^5 - 99/64*c_1001_2^4 + 5/64*c_1001_2^3 + 1/4*c_1001_2^2 - 1/64*c_1001_2 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB