Magma V2.19-8 Wed Aug 21 2013 00:47:04 on localhost [Seed = 492505453] Type ? for help. Type -D to quit. Loading file "K14n7654__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7654 geometric_solution 11.06878080 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 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 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.023921227023 0.849965260231 0 5 6 2 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578207062095 0.479974340828 6 0 7 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703105546697 0.912869369227 5 5 8 0 0213 1230 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 0.261710458726 0.488550622771 7 9 0 10 0132 0132 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 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367297593063 0.317607491556 3 1 3 11 0213 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148006033577 1.590468279024 2 8 12 1 0132 3012 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 1 -1 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 0.701623421611 0.413376297033 4 9 11 2 0132 0321 1302 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 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 0.959776300891 0.472399991777 6 11 10 3 1230 1302 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 0.836358029230 1.980875333934 12 4 12 7 2031 0132 3201 0321 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 1 -1 0 0 -8 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249533027632 1.772870524641 11 12 4 8 1302 3120 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 -1 1 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 -0.304089343741 2.009480194679 7 10 5 8 2031 2031 0132 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 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 -0.206286905050 0.751193628190 9 10 9 6 2310 3120 1302 0132 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 1 0 -1 -9 0 8 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 0.249533027632 1.772870524641 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : negation(d['c_0011_11']), '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_12' : 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_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_3']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_1100_0'], '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'], 'c_1100_12' : negation(d['c_0101_6']), '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_4'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_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_0101_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 449752551396/77232306125*c_1100_0^11 - 2901667332671/77232306125*c_1100_0^10 - 237867059578/77232306125*c_1100_0^9 + 1611750427403/5940946625*c_1100_0^8 + 4390400985511/77232306125*c_1100_0^7 - 10883215359963/15446461225*c_1100_0^6 - 2176290299968/77232306125*c_1100_0^5 + 64018452271734/77232306125*c_1100_0^4 - 696306502159/3089292245*c_1100_0^3 - 18957814227399/77232306125*c_1100_0^2 + 3989673081843/77232306125*c_1100_0 + 2440727769784/77232306125, c_0011_0 - 1, c_0011_10 - 11259002/16698877*c_1100_0^11 - 70727369/16698877*c_1100_0^10 - 1788593/16698877*c_1100_0^9 + 35897958/1284529*c_1100_0^8 - 30838601/16698877*c_1100_0^7 - 1061736921/16698877*c_1100_0^6 + 476829053/16698877*c_1100_0^5 + 983401424/16698877*c_1100_0^4 - 1082665962/16698877*c_1100_0^3 + 202861907/16698877*c_1100_0^2 + 137221283/16698877*c_1100_0 - 35304801/16698877, c_0011_11 + 103299/16698877*c_1100_0^11 - 188528/16698877*c_1100_0^10 - 7105929/16698877*c_1100_0^9 - 1365000/1284529*c_1100_0^8 + 22866767/16698877*c_1100_0^7 + 73013952/16698877*c_1100_0^6 - 32406477/16698877*c_1100_0^5 - 102496568/16698877*c_1100_0^4 + 50018242/16698877*c_1100_0^3 + 58007650/16698877*c_1100_0^2 - 20430570/16698877*c_1100_0 - 21672457/16698877, c_0011_12 - 3076370/16698877*c_1100_0^11 - 27565087/16698877*c_1100_0^10 - 54670354/16698877*c_1100_0^9 + 8495833/1284529*c_1100_0^8 + 328514110/16698877*c_1100_0^7 - 218226701/16698877*c_1100_0^6 - 639258462/16698877*c_1100_0^5 + 403558574/16698877*c_1100_0^4 + 491208980/16698877*c_1100_0^3 - 518461933/16698877*c_1100_0^2 + 7161588/16698877*c_1100_0 + 98798100/16698877, c_0011_3 - 13997218/16698877*c_1100_0^11 - 89479908/16698877*c_1100_0^10 - 10578751/16698877*c_1100_0^9 + 45504315/1284529*c_1100_0^8 + 47515571/16698877*c_1100_0^7 - 1356828159/16698877*c_1100_0^6 + 364292616/16698877*c_1100_0^5 + 1331136682/16698877*c_1100_0^4 - 1118438452/16698877*c_1100_0^3 + 48070920/16698877*c_1100_0^2 + 173060411/16698877*c_1100_0 - 6105241/16698877, c_0011_4 - 3626280/16698877*c_1100_0^11 - 26392532/16698877*c_1100_0^10 - 23209714/16698877*c_1100_0^9 + 11586552/1284529*c_1100_0^8 + 143038628/16698877*c_1100_0^7 - 354769763/16698877*c_1100_0^6 - 213716472/16698877*c_1100_0^5 + 460565353/16698877*c_1100_0^4 + 15631582/16698877*c_1100_0^3 - 259677501/16698877*c_1100_0^2 + 70668084/16698877*c_1100_0 + 39558826/16698877, c_0101_0 + 1, c_0101_1 + 2317394/16698877*c_1100_0^11 + 13924532/16698877*c_1100_0^10 - 3566679/16698877*c_1100_0^9 - 7324935/1284529*c_1100_0^8 + 38732175/16698877*c_1100_0^7 + 228755863/16698877*c_1100_0^6 - 171926884/16698877*c_1100_0^5 - 224709620/16698877*c_1100_0^4 + 295531848/16698877*c_1100_0^3 - 49536956/16698877*c_1100_0^2 - 38809073/16698877*c_1100_0 + 7704553/16698877, c_0101_6 - 994716/16698877*c_1100_0^11 - 6071595/16698877*c_1100_0^10 + 2177960/16698877*c_1100_0^9 + 3913341/1284529*c_1100_0^8 + 3818976/16698877*c_1100_0^7 - 132285527/16698877*c_1100_0^6 - 6367980/16698877*c_1100_0^5 + 145804101/16698877*c_1100_0^4 - 26816512/16698877*c_1100_0^3 - 44049946/16698877*c_1100_0^2 - 3509565/16698877*c_1100_0 + 31161151/16698877, c_0101_8 - c_1100_0, c_1001_2 - 994716/16698877*c_1100_0^11 - 6071595/16698877*c_1100_0^10 + 2177960/16698877*c_1100_0^9 + 3913341/1284529*c_1100_0^8 + 3818976/16698877*c_1100_0^7 - 132285527/16698877*c_1100_0^6 - 6367980/16698877*c_1100_0^5 + 145804101/16698877*c_1100_0^4 - 26816512/16698877*c_1100_0^3 - 44049946/16698877*c_1100_0^2 - 3509565/16698877*c_1100_0 + 31161151/16698877, c_1001_3 + 8500618/16698877*c_1100_0^11 + 50906721/16698877*c_1100_0^10 - 13742746/16698877*c_1100_0^9 - 26775344/1284529*c_1100_0^8 + 135350250/16698877*c_1100_0^7 + 783307169/16698877*c_1100_0^6 - 628838786/16698877*c_1100_0^5 - 629936794/16698877*c_1100_0^4 + 1082526064/16698877*c_1100_0^3 - 406904793/16698877*c_1100_0^2 - 95182344/16698877*c_1100_0 + 76091331/16698877, c_1100_0^12 + 6*c_1100_0^11 - 2*c_1100_0^10 - 44*c_1100_0^9 + 14*c_1100_0^8 + 110*c_1100_0^7 - 67*c_1100_0^6 - 114*c_1100_0^5 + 130*c_1100_0^4 - 6*c_1100_0^3 - 38*c_1100_0^2 + 6*c_1100_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.870 Total time: 6.089 seconds, Total memory usage: 64.12MB