Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 3330759190] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1210 geometric_solution 5.10627180 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.604078490919 0.211913699043 2 0 3 0 0132 2310 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 1 -1 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 0.921905876335 0.305178218444 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703945361031 0.658897356403 5 2 4 1 0132 1230 0132 0132 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 1 0 -1 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 0.703945361031 0.658897356403 4 2 4 3 2310 0132 3201 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.432621693399 1.262753617381 3 6 2 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 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 2.407385168609 1.092589216594 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392827173155 0.346249073424 ==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' : 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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 66740084111385536/1726687396281985*c_0110_6^9 + 4256459977428683419/25900310944229775*c_0110_6^8 + 4942039273219321756/25900310944229775*c_0110_6^7 - 13524948527092899754/8633436981409925*c_0110_6^6 - 32894789935546262876/8633436981409925*c_0110_6^5 - 171929837060922024703/25900310944229775*c_0110_6^4 + 4185054089598861882/8633436981409925*c_0110_6^3 - 4908268020406461444/8633436981409925*c_0110_6^2 + 3819991042932137308/8633436981409925*c_0110_6 + 5462329759154670811/25900310944229775, c_0011_0 - 1, c_0011_1 - 28617976088450/345337479256397*c_0110_6^9 - 121915605261435/345337479256397*c_0110_6^8 - 146106616740414/345337479256397*c_0110_6^7 + 1138423378772101/345337479256397*c_0110_6^6 + 2797856732177096/345337479256397*c_0110_6^5 + 5089430898082290/345337479256397*c_0110_6^4 + 248005343729866/345337479256397*c_0110_6^3 + 1319878428259705/345337479256397*c_0110_6^2 - 171816449130974/345337479256397*c_0110_6 - 57295686271499/345337479256397, c_0011_3 + 129209202811530/345337479256397*c_0101_3*c_0110_6^9 + 438247722794558/345337479256397*c_0101_3*c_0110_6^8 + 211696923514587/345337479256397*c_0101_3*c_0110_6^7 - 5595728675782058/345337479256397*c_0101_3*c_0110_6^6 - 8037704587603473/345337479256397*c_0101_3*c_0110_6^5 - 13159637950990478/345337479256397*c_0101_3*c_0110_6^4 + 16429708777971188/345337479256397*c_0101_3*c_0110_6^3 - 10386412899208336/345337479256397*c_0101_3*c_0110_6^2 + 5106632918921722/345337479256397*c_0101_3*c_0110_6 - 1223865655289367/345337479256397*c_0101_3, c_0101_0 + 20730286199725/345337479256397*c_0110_6^9 + 61610833022950/345337479256397*c_0110_6^8 + 5747998758314/345337479256397*c_0110_6^7 - 904125521704930/345337479256397*c_0110_6^6 - 894363319116731/345337479256397*c_0110_6^5 - 1593416657726636/345337479256397*c_0110_6^4 + 3310653500440276/345337479256397*c_0110_6^3 - 3350422572407975/345337479256397*c_0110_6^2 + 764106987949964/345337479256397*c_0110_6 - 392813870169691/345337479256397, c_0101_1 + 26905407326950/345337479256397*c_0110_6^9 + 98405163233085/345337479256397*c_0110_6^8 + 65574795448574/345337479256397*c_0110_6^7 - 1161990652577463/345337479256397*c_0110_6^6 - 1983680618520838/345337479256397*c_0110_6^5 - 3069477207258986/345337479256397*c_0110_6^4 + 2788911773890372/345337479256397*c_0110_6^3 - 1023622110077374/345337479256397*c_0110_6^2 + 587213193178136/345337479256397*c_0110_6 + 129209202811530/345337479256397, c_0101_3^2 + 27761691707700/345337479256397*c_0110_6^9 + 110160384247260/345337479256397*c_0110_6^8 + 105840706094494/345337479256397*c_0110_6^7 - 1150207015674782/345337479256397*c_0110_6^6 - 2390768675348967/345337479256397*c_0110_6^5 - 4079454052670638/345337479256397*c_0110_6^4 + 1270453215080253/345337479256397*c_0110_6^3 - 1344419008796738/345337479256397*c_0110_6^2 + 379514821154555/345337479256397*c_0110_6 - 79416295086684/345337479256397, c_0110_6^10 + 18/5*c_0110_6^9 + 12/5*c_0110_6^8 - 214/5*c_0110_6^7 - 356/5*c_0110_6^6 - 586/5*c_0110_6^5 + 517/5*c_0110_6^4 - 294/5*c_0110_6^3 + 158/5*c_0110_6^2 - 38/5*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB