Magma V2.19-8 Tue Aug 20 2013 23:56:17 on localhost [Seed = 3734550218] Type ? for help. Type -D to quit. Loading file "L14n1600__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1600 geometric_solution 10.64769471 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 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 -1 0 1 -16 0 16 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 0.224476856429 0.576545249857 0 0 5 4 0132 1302 0132 0132 1 1 1 1 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 16 0 1 -17 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413583572975 1.506149056155 6 0 8 7 0132 0132 0132 0132 1 0 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 1 -1 0 -1 0 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 1.007701264852 0.824103546459 8 9 10 0 0321 0132 0132 0132 1 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 0 0 0 0 0 0 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538171568925 0.792889741606 6 11 1 10 3012 0132 0132 3120 1 1 0 1 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 0 0 0 0 0 0 0 0 -17 0 17 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 0.242304208380 0.690852764677 8 6 11 1 2031 3201 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 2 -1 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 -16 17 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007701264852 0.824103546459 2 8 5 4 0132 3120 2310 1230 1 0 1 1 0 0 -1 1 1 0 -2 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 -17 17 1 0 -1 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 1.192807652920 0.990626090910 9 9 2 10 3201 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873065072758 0.659673042472 3 6 5 2 0321 3120 1302 0132 1 0 1 1 0 0 0 0 0 0 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 -1 1 0 0 1 -1 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192807652920 0.990626090910 11 3 7 7 0132 0132 3012 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.596473335070 0.404553074346 4 7 11 3 3120 2310 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942299953132 0.813571745168 9 4 5 10 0132 0132 1023 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669982758229 0.547873216469 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0110_7']), '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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_7']), 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_8']), 'c_1100_9' : d['c_0011_7'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_5, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_7, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 41998186869091177721/452439238063917579494*c_1001_4^11 + 604916704295295873613/1131098095159793948735*c_1001_4^10 - 8432467700198182235989/4524392380639175794940*c_1001_4^9 + 3885854411897079651686/1131098095159793948735*c_1001_4^8 - 11666529778508447314963/4524392380639175794940*c_1001_4^7 - 2358817160091714263737/2262196190319587897470*c_1001_4^6 + 8765291911598699343789/4524392380639175794940*c_1001_4^5 - 27942362678020826821/2262196190319587897470*c_1001_4^4 + 109003820998659580651/4524392380639175794940*c_1001_4^3 - 2948904506015562874079/2262196190319587897470*c_1001_4^2 - 6110314710560517608053/2262196190319587897470*c_1001_4 - 2566532612749461117579/2262196190319587897470, c_0011_0 - 1, c_0011_10 + 6963551490535/648841028465828*c_1001_4^11 - 119147007412253/2595364113863312*c_1001_4^10 + 20821179394473/162210257116457*c_1001_4^9 - 290405630504657/2595364113863312*c_1001_4^8 - 157843044675451/1297682056931656*c_1001_4^7 + 43118184053541/324420514232914*c_1001_4^6 + 219654644080243/324420514232914*c_1001_4^5 - 442329993678195/648841028465828*c_1001_4^4 - 191069990906855/648841028465828*c_1001_4^3 + 1535334613477/117971096084696*c_1001_4^2 + 217744319600515/162210257116457*c_1001_4 + 856035237170323/1297682056931656, c_0011_11 + 1, c_0011_5 - 558190225/7885840336*c_1001_4^11 + 3294696015/7885840336*c_1001_4^10 - 11805285049/7885840336*c_1001_4^9 + 23166040721/7885840336*c_1001_4^8 - 10978631223/3942920168*c_1001_4^7 + 268352309/492865021*c_1001_4^6 + 155295431/1971460084*c_1001_4^5 + 677185934/492865021*c_1001_4^4 - 4525685927/3942920168*c_1001_4^3 - 300614543/358447288*c_1001_4^2 - 4949054821/3942920168*c_1001_4 - 3182672981/3942920168, c_0011_7 - 163077956939895/2595364113863312*c_1001_4^11 + 1015492686433419/2595364113863312*c_1001_4^10 - 3735571029890647/2595364113863312*c_1001_4^9 + 7793718351587825/2595364113863312*c_1001_4^8 - 4120609905822363/1297682056931656*c_1001_4^7 + 159223279692635/162210257116457*c_1001_4^6 + 401561343656961/648841028465828*c_1001_4^5 - 114683253985115/324420514232914*c_1001_4^4 + 537566785053187/1297682056931656*c_1001_4^3 - 196766073185419/117971096084696*c_1001_4^2 - 278927475771603/1297682056931656*c_1001_4 - 1234667164232217/1297682056931656, c_0011_8 - 10918827934405/648841028465828*c_1001_4^11 + 5076850879619/162210257116457*c_1001_4^10 + 43085531521135/648841028465828*c_1001_4^9 - 281364519769077/324420514232914*c_1001_4^8 + 426178718897071/162210257116457*c_1001_4^7 - 573171518207430/162210257116457*c_1001_4^6 + 260406367333379/162210257116457*c_1001_4^5 - 17274484557817/162210257116457*c_1001_4^4 + 297867040794039/324420514232914*c_1001_4^3 - 18661352485210/14746387010587*c_1001_4^2 - 570423379980973/324420514232914*c_1001_4 - 60261045713450/162210257116457, c_0101_1 - 2159342371265/2595364113863312*c_1001_4^11 - 26806464824987/2595364113863312*c_1001_4^10 + 156373266123695/2595364113863312*c_1001_4^9 - 454235230663201/2595364113863312*c_1001_4^8 + 202186433463771/1297682056931656*c_1001_4^7 + 81304678522816/162210257116457*c_1001_4^6 - 775793299182549/648841028465828*c_1001_4^5 + 154876917645917/324420514232914*c_1001_4^4 + 131628285325413/1297682056931656*c_1001_4^3 + 113270321227915/117971096084696*c_1001_4^2 - 1365011662182605/1297682056931656*c_1001_4 - 1062156361290159/1297682056931656, c_0101_10 + 310599578415925/2595364113863312*c_1001_4^11 - 1836656785426685/2595364113863312*c_1001_4^10 + 6522154105691685/2595364113863312*c_1001_4^9 - 12475949057944335/2595364113863312*c_1001_4^8 + 5367060565227181/1297682056931656*c_1001_4^7 + 51690436303101/162210257116457*c_1001_4^6 - 633507644054899/648841028465828*c_1001_4^5 - 856135319139145/324420514232914*c_1001_4^4 + 2296412504428751/1297682056931656*c_1001_4^3 + 351388775205149/117971096084696*c_1001_4^2 + 2376144777091465/1297682056931656*c_1001_4 + 1344768625079423/1297682056931656, c_0101_11 + 190932162902035/2595364113863312*c_1001_4^11 - 141829961730709/324420514232914*c_1001_4^10 + 4068709900202215/2595364113863312*c_1001_4^9 - 4042061991046241/1297682056931656*c_1001_4^8 + 495345857643364/162210257116457*c_1001_4^7 - 275328375331729/324420514232914*c_1001_4^6 + 37747944503525/648841028465828*c_1001_4^5 - 212963485707965/648841028465828*c_1001_4^4 - 919706766866897/1297682056931656*c_1001_4^3 + 24787675974862/14746387010587*c_1001_4^2 + 2020882032575723/1297682056931656*c_1001_4 + 522675600350635/324420514232914, c_0101_9 + 19399905840255/324420514232914*c_1001_4^11 - 188786239517727/648841028465828*c_1001_4^10 + 291015912569081/324420514232914*c_1001_4^9 - 779981521806675/648841028465828*c_1001_4^8 - 11445487650959/324420514232914*c_1001_4^7 + 216775095211794/162210257116457*c_1001_4^6 + 73631246559590/162210257116457*c_1001_4^5 - 213443136986887/162210257116457*c_1001_4^4 - 305363890790103/162210257116457*c_1001_4^3 + 90374177198391/29492774021174*c_1001_4^2 + 416651617061759/162210257116457*c_1001_4 + 815226208382021/324420514232914, c_0110_7 - 18497447791465/235942192169392*c_1001_4^11 + 105060303786313/235942192169392*c_1001_4^10 - 365705111503477/235942192169392*c_1001_4^9 + 679673625508327/235942192169392*c_1001_4^8 - 284929234800989/117971096084696*c_1001_4^7 + 3051037727313/14746387010587*c_1001_4^6 - 26129696902573/58985548042348*c_1001_4^5 + 46152534583069/29492774021174*c_1001_4^4 + 15428787258861/117971096084696*c_1001_4^3 - 273055357021339/117971096084696*c_1001_4^2 - 208551468322321/117971096084696*c_1001_4 - 248154303034191/117971096084696, c_1001_4^12 - 26/5*c_1001_4^11 + 86/5*c_1001_4^10 - 28*c_1001_4^9 + 77/5*c_1001_4^8 + 46/5*c_1001_4^7 + 4*c_1001_4^6 - 76/5*c_1001_4^5 - 42/5*c_1001_4^4 + 96/5*c_1001_4^3 + 172/5*c_1001_4^2 + 172/5*c_1001_4 + 74/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB