Magma V2.19-8 Tue Aug 20 2013 23:40:30 on localhost [Seed = 947805361] Type ? for help. Type -D to quit. Loading file "L11a369__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a369 geometric_solution 10.37849479 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 1 -1 -3 0 0 3 -3 2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103222306519 0.768832642720 0 3 6 5 0132 2103 0132 0132 0 0 0 1 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 -1 1 0 3 0 0 -3 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381406182856 1.489373318416 3 0 4 7 2103 0132 2103 0132 0 0 0 1 0 0 0 0 -1 0 0 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 2 0 0 -2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.399886536873 1.273045755139 6 1 2 0 0132 2103 2103 0132 0 0 0 1 0 0 0 0 -1 0 1 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 1 0 -1 2 0 -2 0 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702388273858 0.418968146188 2 8 0 9 2103 0132 0132 0132 0 0 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 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727228338917 0.787088113668 10 7 1 10 0132 3120 0132 2031 0 0 1 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 -3 0 3 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 0.621558258774 0.731144645943 3 10 10 1 0132 1230 0132 0132 0 0 1 0 0 0 0 0 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 0 1 0 -1 -2 0 2 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621558258774 0.731144645943 8 5 2 8 0321 3120 0132 1023 0 0 1 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 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366729253674 0.685396663596 7 4 9 7 0321 0132 1302 1023 0 0 1 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 1 -3 2 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 0.366729253674 0.685396663596 8 9 4 9 2031 2310 0132 3201 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755200851951 0.576993409104 5 5 6 6 0132 1302 3012 0132 0 0 0 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 3 0 -1 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325058720149 0.793939580276 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0110_9'], 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_1001_6']), 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_1001_6']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0110_9']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_10'], '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_0011_9'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_9, c_0110_9, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 27406953028055/48191*c_1001_6^14 - 20886155965338/3707*c_1001_6^13 + 120626519349153/4381*c_1001_6^12 - 4148918375837897/48191*c_1001_6^11 + 9239507843568950/48191*c_1001_6^10 - 15377718597635672/48191*c_1001_6^9 + 19649498998171868/48191*c_1001_6^8 - 1502819825591467/3707*c_1001_6^7 + 15146859871588477/48191*c_1001_6^6 - 825623113441047/4381*c_1001_6^5 + 4123412451118619/48191*c_1001_6^4 - 104866979557958/3707*c_1001_6^3 + 307029183576569/48191*c_1001_6^2 - 41731793610597/48191*c_1001_6 + 2561939697899/48191, c_0011_0 - 1, c_0011_10 - 393849*c_1001_6^14 + 3877720*c_1001_6^13 - 18839271*c_1001_6^12 + 58551653*c_1001_6^11 - 129582517*c_1001_6^10 + 214221950*c_1001_6^9 - 271739682*c_1001_6^8 + 268021267*c_1001_6^7 - 205939471*c_1001_6^6 + 122217441*c_1001_6^5 - 54825542*c_1001_6^4 + 17865478*c_1001_6^3 - 3953910*c_1001_6^2 + 526472*c_1001_6 - 31572, c_0011_3 - 297308*c_1001_6^14 + 2927206*c_1001_6^13 - 14221353*c_1001_6^12 + 44199358*c_1001_6^11 - 97818993*c_1001_6^10 + 161711431*c_1001_6^9 - 205130289*c_1001_6^8 + 202323330*c_1001_6^7 - 155459148*c_1001_6^6 + 92259237*c_1001_6^5 - 41386585*c_1001_6^4 + 13486253*c_1001_6^3 - 2984718*c_1001_6^2 + 397422*c_1001_6 - 23833, c_0011_4 - 293654*c_1001_6^14 + 2890093*c_1001_6^13 - 14035534*c_1001_6^12 + 43603302*c_1001_6^11 - 96455207*c_1001_6^10 + 159372835*c_1001_6^9 - 202041019*c_1001_6^8 + 199134270*c_1001_6^7 - 152877206*c_1001_6^6 + 90629918*c_1001_6^5 - 40599354*c_1001_6^4 + 13204799*c_1001_6^3 - 2914608*c_1001_6^2 + 386561*c_1001_6 - 23046, c_0011_9 - 3654*c_1001_6^14 + 37113*c_1001_6^13 - 185819*c_1001_6^12 + 596056*c_1001_6^11 - 1363786*c_1001_6^10 + 2338596*c_1001_6^9 - 3089270*c_1001_6^8 + 3189060*c_1001_6^7 - 2581942*c_1001_6^6 + 1629319*c_1001_6^5 - 787231*c_1001_6^4 + 281454*c_1001_6^3 - 70110*c_1001_6^2 + 10860*c_1001_6 - 787, c_0101_0 - 1, c_0101_1 - 393849*c_1001_6^14 + 3877720*c_1001_6^13 - 18839271*c_1001_6^12 + 58551653*c_1001_6^11 - 129582517*c_1001_6^10 + 214221950*c_1001_6^9 - 271739682*c_1001_6^8 + 268021267*c_1001_6^7 - 205939471*c_1001_6^6 + 122217441*c_1001_6^5 - 54825542*c_1001_6^4 + 17865478*c_1001_6^3 - 3953910*c_1001_6^2 + 526472*c_1001_6 - 31572, c_0101_9 + 170172*c_1001_6^14 - 1704729*c_1001_6^13 + 8419476*c_1001_6^12 - 26615927*c_1001_6^11 + 59949809*c_1001_6^10 - 101012635*c_1001_6^9 + 130814050*c_1001_6^8 - 131998120*c_1001_6^7 + 104051860*c_1001_6^6 - 63586757*c_1001_6^5 + 29524050*c_1001_6^4 - 10028909*c_1001_6^3 + 2334307*c_1001_6^2 - 330030*c_1001_6 + 21204, c_0110_9 - 2227084*c_1001_6^14 + 22069612*c_1001_6^13 - 107879012*c_1001_6^12 + 337401316*c_1001_6^11 - 751576072*c_1001_6^10 + 1251225881*c_1001_6^9 - 1599275015*c_1001_6^8 + 1590598059*c_1001_6^7 - 1233632358*c_1001_6^6 + 739962761*c_1001_6^5 - 336117489*c_1001_6^4 + 111186436*c_1001_6^3 - 25056960*c_1001_6^2 + 3408316*c_1001_6 - 209413, c_1001_0 + 29*c_1001_6^14 - 298*c_1001_6^13 + 1510*c_1001_6^12 - 4908*c_1001_6^11 + 11396*c_1001_6^10 - 19878*c_1001_6^9 + 26794*c_1001_6^8 - 28342*c_1001_6^7 + 23653*c_1001_6^6 - 15522*c_1001_6^5 + 7908*c_1001_6^4 - 3052*c_1001_6^3 + 857*c_1001_6^2 - 163*c_1001_6 + 17, c_1001_6^15 - 298/29*c_1001_6^14 + 1510/29*c_1001_6^13 - 4908/29*c_1001_6^12 + 11396/29*c_1001_6^11 - 19878/29*c_1001_6^10 + 26794/29*c_1001_6^9 - 28342/29*c_1001_6^8 + 23653/29*c_1001_6^7 - 15522/29*c_1001_6^6 + 7908/29*c_1001_6^5 - 3052/29*c_1001_6^4 + 857/29*c_1001_6^3 - 164/29*c_1001_6^2 + 19/29*c_1001_6 - 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB