Magma V2.19-8 Tue Aug 20 2013 23:56:24 on localhost [Seed = 4038498530] Type ? for help. Type -D to quit. Loading file "L14n20650__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20650 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 0 0 0 1 0 -1 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 0 5 3 6 0132 0132 0321 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 4 -4 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925428716898 0.884257346967 7 0 6 8 0132 0132 0213 0132 0 0 1 1 0 1 1 -2 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 0 -1 1 0 0 0 0 5 -4 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346648529770 0.910234589498 4 8 1 0 0321 0132 0321 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -5 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 1.346648529770 0.910234589498 3 7 0 9 0321 1230 0132 0132 0 1 1 1 0 0 -1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746592407770 1.278909971013 7 1 7 6 1302 0132 1230 2310 0 1 1 1 0 0 0 0 1 0 -1 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 -5 0 5 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094697068021 1.122906494968 5 2 1 9 3201 0213 0132 2103 0 1 0 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 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 0.149078537497 0.752376937055 2 5 4 5 0132 2031 3012 3012 1 0 1 1 0 0 1 -1 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 0 0 -4 4 0 0 0 0 5 0 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 10 3 2 11 0132 0132 0132 0132 0 0 1 1 0 0 2 -2 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708538533263 0.964333285513 11 10 4 6 1302 1302 0132 2103 0 1 0 1 0 1 -1 0 0 0 0 0 2 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505198613981 0.673433305114 8 11 11 9 0132 1023 0132 2031 0 0 1 1 0 -1 0 1 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 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017834486478 0.698342463560 10 9 8 10 1023 2031 0132 0132 0 0 1 1 0 -2 2 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 1 -1 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 0.017834486478 0.698342463560 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_9'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1010_6']), 'c_1010_8' : negation(d['c_0110_9']), 'c_1100_8' : d['c_1010_6'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_9, c_0101_1, c_0101_7, c_0110_6, c_0110_9, c_1001_0, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 208567776247/3930395904*c_1010_6^11 + 2781434169599/3930395904*c_1010_6^10 - 7725565765237/1965197952*c_1010_6^9 + 48188401052525/3930395904*c_1010_6^8 - 96526595040899/3930395904*c_1010_6^7 + 5454576692627/163766496*c_1010_6^6 - 5414335004933/163766496*c_1010_6^5 + 95385310967033/3930395904*c_1010_6^4 - 52845577117147/3930395904*c_1010_6^3 + 20734536078137/3930395904*c_1010_6^2 - 5613525523525/3930395904*c_1010_6 + 932215011793/3930395904, c_0011_0 - 1, c_0011_10 - c_1010_6, c_0011_4 - 605813/1705901*c_1010_6^11 + 8045346/1705901*c_1010_6^10 - 44231510/1705901*c_1010_6^9 + 134707907/1705901*c_1010_6^8 - 256634553/1705901*c_1010_6^7 + 313923390/1705901*c_1010_6^6 - 256537278/1705901*c_1010_6^5 + 130150833/1705901*c_1010_6^4 - 31828389/1705901*c_1010_6^3 - 10645464/1705901*c_1010_6^2 + 9227970/1705901*c_1010_6 - 2558561/1705901, c_0011_6 - 52421/1705901*c_1010_6^11 + 810379/1705901*c_1010_6^10 - 5034943/1705901*c_1010_6^9 + 16169889/1705901*c_1010_6^8 - 28610383/1705901*c_1010_6^7 + 25251807/1705901*c_1010_6^6 - 1159375/1705901*c_1010_6^5 - 17799163/1705901*c_1010_6^4 + 25495536/1705901*c_1010_6^3 - 18810156/1705901*c_1010_6^2 + 9701585/1705901*c_1010_6 - 1073246/1705901, c_0011_9 - 76485/1705901*c_1010_6^11 + 684000/1705901*c_1010_6^10 - 1439588/1705901*c_1010_6^9 - 3890637/1705901*c_1010_6^8 + 24286038/1705901*c_1010_6^7 - 54197201/1705901*c_1010_6^6 + 64296590/1705901*c_1010_6^5 - 55270664/1705901*c_1010_6^4 + 33068668/1705901*c_1010_6^3 - 16335060/1705901*c_1010_6^2 + 5638310/1705901*c_1010_6 - 1863164/1705901, c_0101_1 - 52421/1705901*c_1010_6^11 + 810379/1705901*c_1010_6^10 - 5034943/1705901*c_1010_6^9 + 16169889/1705901*c_1010_6^8 - 28610383/1705901*c_1010_6^7 + 25251807/1705901*c_1010_6^6 - 1159375/1705901*c_1010_6^5 - 17799163/1705901*c_1010_6^4 + 25495536/1705901*c_1010_6^3 - 18810156/1705901*c_1010_6^2 + 9701585/1705901*c_1010_6 - 1073246/1705901, c_0101_7 - 999251/1705901*c_1010_6^11 + 13577527/1705901*c_1010_6^10 - 77382625/1705901*c_1010_6^9 + 249596321/1705901*c_1010_6^8 - 521432919/1705901*c_1010_6^7 + 746433478/1705901*c_1010_6^6 - 782787927/1705901*c_1010_6^5 + 606724787/1705901*c_1010_6^4 - 346500040/1705901*c_1010_6^3 + 139987081/1705901*c_1010_6^2 - 36013960/1705901*c_1010_6 + 4880824/1705901, c_0110_6 + 1, c_0110_9 + 999251/1705901*c_1010_6^11 - 13577527/1705901*c_1010_6^10 + 77382625/1705901*c_1010_6^9 - 249596321/1705901*c_1010_6^8 + 521432919/1705901*c_1010_6^7 - 746433478/1705901*c_1010_6^6 + 782787927/1705901*c_1010_6^5 - 606724787/1705901*c_1010_6^4 + 346500040/1705901*c_1010_6^3 - 139987081/1705901*c_1010_6^2 + 36013960/1705901*c_1010_6 - 4880824/1705901, c_1001_0 - 1, c_1001_2 - 605813/1705901*c_1010_6^11 + 8045346/1705901*c_1010_6^10 - 44231510/1705901*c_1010_6^9 + 134707907/1705901*c_1010_6^8 - 256634553/1705901*c_1010_6^7 + 313923390/1705901*c_1010_6^6 - 256537278/1705901*c_1010_6^5 + 130150833/1705901*c_1010_6^4 - 31828389/1705901*c_1010_6^3 - 10645464/1705901*c_1010_6^2 + 9227970/1705901*c_1010_6 - 2558561/1705901, c_1010_6^12 - 14*c_1010_6^11 + 83*c_1010_6^10 - 281*c_1010_6^9 + 620*c_1010_6^8 - 945*c_1010_6^7 + 1056*c_1010_6^6 - 887*c_1010_6^5 + 568*c_1010_6^4 - 272*c_1010_6^3 + 94*c_1010_6^2 - 22*c_1010_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB