Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 4071845826] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2820 geometric_solution 6.04443156 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266560776342 0.762871595869 0 0 3 2 0132 3201 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.789894801944 2.121912929277 4 3 1 5 0132 2031 0132 0132 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304327834306 0.456037104816 2 4 6 1 1302 0132 0132 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 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 0.304327834306 0.456037104816 2 3 5 6 0132 0132 3012 1230 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074184328330 0.992644672136 6 4 2 6 1023 1230 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444114941483 1.127877524058 4 5 5 3 3012 1023 0132 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 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 0.444114941483 1.127877524058 ==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' : negation(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' : negation(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_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), '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_5, c_0101_1, c_0101_4, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 9896782722638915/206489185526528*c_0101_6*c_1100_1^9 + 121361249929101289/206489185526528*c_0101_6*c_1100_1^8 + 744475302773509319/206489185526528*c_0101_6*c_1100_1^7 + 1122241499841195655/103244592763264*c_0101_6*c_1100_1^6 + 2481326898020362175/206489185526528*c_0101_6*c_1100_1^5 - 4274401836126323885/206489185526528*c_0101_6*c_1100_1^4 + 422868226796900163/51622296381632*c_0101_6*c_1100_1^3 + 4714942787111392749/206489185526528*c_0101_6*c_1100_1^2 - 4502243207745540097/206489185526528*c_0101_6*c_1100_1 + 1643269283673044413/206489185526528*c_0101_6, c_0011_0 - 1, c_0011_2 + 8371831703/629540199776*c_0101_6*c_1100_1^9 + 93999980157/629540199776*c_0101_6*c_1100_1^8 + 518054112587/629540199776*c_0101_6*c_1100_1^7 + 589773161591/314770099888*c_0101_6*c_1100_1^6 - 279755285749/629540199776*c_0101_6*c_1100_1^5 - 7034332862425/629540199776*c_0101_6*c_1100_1^4 + 960978482805/157385049944*c_0101_6*c_1100_1^3 + 5195888140561/629540199776*c_0101_6*c_1100_1^2 - 7996097015997/629540199776*c_0101_6*c_1100_1 + 3200282191777/629540199776*c_0101_6, c_0011_5 - 242521031/314770099888*c_1100_1^9 - 2613281735/314770099888*c_1100_1^8 - 14159899303/314770099888*c_1100_1^7 - 7967748149/78692524972*c_1100_1^6 - 2184381665/314770099888*c_1100_1^5 + 134939783589/314770099888*c_1100_1^4 - 109322910085/157385049944*c_1100_1^3 + 200759947925/314770099888*c_1100_1^2 + 75245934153/314770099888*c_1100_1 - 186057246943/314770099888, c_0101_1 + 8109412249/314770099888*c_1100_1^9 + 99947718061/314770099888*c_1100_1^8 + 615475486489/314770099888*c_1100_1^7 + 116643491462/19673131243*c_1100_1^6 + 2070786834795/314770099888*c_1100_1^5 - 3678217603883/314770099888*c_1100_1^4 + 275852849269/157385049944*c_1100_1^3 + 3683189545433/314770099888*c_1100_1^2 - 3062459641047/314770099888*c_1100_1 + 740917585717/314770099888, c_0101_4 + c_0101_6, c_0101_6^2 - 825241199/1259080399552*c_1100_1^9 - 13133416801/1259080399552*c_1100_1^8 - 100864507323/1259080399552*c_1100_1^7 - 217562087433/629540199776*c_1100_1^6 - 1006897467207/1259080399552*c_1100_1^5 - 692076375431/1259080399552*c_1100_1^4 + 128941345063/157385049944*c_1100_1^3 - 175631670453/1259080399552*c_1100_1^2 - 701172023747/1259080399552*c_1100_1 + 122717362547/1259080399552, c_1100_1^10 + 12*c_1100_1^9 + 72*c_1100_1^8 + 207*c_1100_1^7 + 191*c_1100_1^6 - 498*c_1100_1^5 + 285*c_1100_1^4 + 435*c_1100_1^3 - 580*c_1100_1^2 + 284*c_1100_1 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB