Magma V2.19-8 Wed Aug 21 2013 01:07:18 on localhost [Seed = 3448493257] Type ? for help. Type -D to quit. Loading file "L14n33057__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33057 geometric_solution 11.86473996 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.440742022542 0.627193412931 0 5 4 6 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283571384860 0.989332378829 7 0 4 8 0132 0132 1302 0132 1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880351573723 1.312175242160 9 10 6 0 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758330790497 0.551355843579 2 8 0 1 2031 0321 0132 0132 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 0 0 0 0 0 0 1 -1 -1 0 0 1 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132588396199 1.672895157725 7 1 11 6 1023 0132 0132 3120 1 1 0 1 0 0 0 0 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 1 -1 0 -7 0 8 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668731151264 0.687237077220 5 12 1 3 3120 0132 0132 0132 1 1 0 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 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622438987810 0.511447050818 2 5 10 9 0132 1023 3201 1023 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 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431189023015 0.716866851480 9 12 2 4 1023 2031 0132 0321 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 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 1 0 0 -1 0 3 0 -3 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925919151913 0.520163743681 3 8 11 7 0132 1023 3120 1023 0 1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570969087825 0.539466140518 7 3 12 11 2310 0132 2031 2031 1 1 0 1 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213146568882 1.078293495239 12 10 9 5 2103 1302 3120 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 -1 1 8 0 0 -8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525928138784 0.781790283243 8 6 11 10 1302 0132 2103 1302 1 1 1 0 0 0 0 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 0 0 0 0 8 0 -8 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395773707274 0.683696358181 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0110_12']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : 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_0011_10']), '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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0110_12']), 'c_1010_2' : negation(d['c_0110_12']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_12'], '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' : d['c_0101_10'], '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_10'], 'c_0011_8' : 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' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_4']), '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_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_12, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 9173671940703/425598026744*c_1100_0^12 - 3167641231991/212799013372*c_1100_0^11 - 77288491736979/425598026744*c_1100_0^10 - 54597239806283/425598026744*c_1100_0^9 + 173608442988535/425598026744*c_1100_0^8 + 243626895921467/212799013372*c_1100_0^7 + 161014442299201/106399506686*c_1100_0^6 + 79860833113117/53199753343*c_1100_0^5 + 273647183009825/212799013372*c_1100_0^4 + 4133629242096/4836341213*c_1100_0^3 + 44666407174251/106399506686*c_1100_0^2 + 10666470123894/53199753343*c_1100_0 + 2904726917000/53199753343, c_0011_0 - 1, c_0011_10 - 334008123/215685886*c_1100_0^12 + 862298527/431371772*c_1100_0^11 + 5547148849/431371772*c_1100_0^10 + 18172123/107842943*c_1100_0^9 - 16390629963/431371772*c_1100_0^8 - 12830705065/215685886*c_1100_0^7 - 4948504351/107842943*c_1100_0^6 - 8359424081/215685886*c_1100_0^5 - 4841538531/107842943*c_1100_0^4 - 3028370597/107842943*c_1100_0^3 - 61078288/8295611*c_1100_0^2 - 865656119/107842943*c_1100_0 - 513932412/107842943, c_0011_11 + 2439396111/862743544*c_1100_0^12 - 2611119775/862743544*c_1100_0^11 - 5230071345/215685886*c_1100_0^10 - 4953722035/862743544*c_1100_0^9 + 29846556845/431371772*c_1100_0^8 + 27167326935/215685886*c_1100_0^7 + 23536672843/215685886*c_1100_0^6 + 18222653017/215685886*c_1100_0^5 + 19081868957/215685886*c_1100_0^4 + 6704300684/107842943*c_1100_0^3 + 364769911/16591222*c_1100_0^2 + 3247938643/215685886*c_1100_0 + 950143338/107842943, c_0011_12 + 117764085/862743544*c_1100_0^12 + 17524907/862743544*c_1100_0^11 - 362097405/215685886*c_1100_0^10 - 1087437957/862743544*c_1100_0^9 + 2510899525/431371772*c_1100_0^8 + 1071429869/107842943*c_1100_0^7 + 798882441/215685886*c_1100_0^6 - 423682791/215685886*c_1100_0^5 + 290326988/107842943*c_1100_0^4 + 560298686/107842943*c_1100_0^3 - 5455633/16591222*c_1100_0^2 - 335457495/215685886*c_1100_0 + 161320124/107842943, c_0011_4 - 1321430817/862743544*c_1100_0^12 + 198042311/107842943*c_1100_0^11 + 10654887419/862743544*c_1100_0^10 + 1742402035/862743544*c_1100_0^9 - 28300123609/862743544*c_1100_0^8 - 13403252903/215685886*c_1100_0^7 - 7086232057/107842943*c_1100_0^6 - 6997597341/107842943*c_1100_0^5 - 13311049005/215685886*c_1100_0^4 - 8254079243/215685886*c_1100_0^3 - 3622987983/215685886*c_1100_0^2 - 1508743439/107842943*c_1100_0 - 1257646205/215685886, c_0101_0 - 1, c_0101_1 - 1867664559/862743544*c_1100_0^12 + 2096107669/862743544*c_1100_0^11 + 7850420047/431371772*c_1100_0^10 + 3139676855/862743544*c_1100_0^9 - 5511871796/107842943*c_1100_0^8 - 9962780028/107842943*c_1100_0^7 - 18151754841/215685886*c_1100_0^6 - 8003937761/107842943*c_1100_0^5 - 8394417713/107842943*c_1100_0^4 - 5645784701/107842943*c_1100_0^3 - 316650419/16591222*c_1100_0^2 - 3351944591/215685886*c_1100_0 - 915497227/107842943, c_0101_10 + 71285235/33182444*c_1100_0^12 - 79091009/33182444*c_1100_0^11 - 150280922/8295611*c_1100_0^10 - 120706337/33182444*c_1100_0^9 + 417903538/8295611*c_1100_0^8 + 759896833/8295611*c_1100_0^7 + 1420786169/16591222*c_1100_0^6 + 628056905/8295611*c_1100_0^5 + 1320420947/16591222*c_1100_0^4 + 446401409/8295611*c_1100_0^3 + 175097274/8295611*c_1100_0^2 + 128970860/8295611*c_1100_0 + 66370017/8295611, c_0101_3 + 3503754699/862743544*c_1100_0^12 - 3786531785/862743544*c_1100_0^11 - 14962552877/431371772*c_1100_0^10 - 6984431563/862743544*c_1100_0^9 + 21320861781/215685886*c_1100_0^8 + 38864631631/215685886*c_1100_0^7 + 16947588135/107842943*c_1100_0^6 + 13216681393/107842943*c_1100_0^5 + 13613495477/107842943*c_1100_0^4 + 9562642012/107842943*c_1100_0^3 + 489167953/16591222*c_1100_0^2 + 4563459585/215685886*c_1100_0 + 1428162966/107842943, c_0101_7 - 3503754699/862743544*c_1100_0^12 + 3786531785/862743544*c_1100_0^11 + 14962552877/431371772*c_1100_0^10 + 6984431563/862743544*c_1100_0^9 - 21320861781/215685886*c_1100_0^8 - 38864631631/215685886*c_1100_0^7 - 16947588135/107842943*c_1100_0^6 - 13216681393/107842943*c_1100_0^5 - 13613495477/107842943*c_1100_0^4 - 9562642012/107842943*c_1100_0^3 - 489167953/16591222*c_1100_0^2 - 4563459585/215685886*c_1100_0 - 1428162966/107842943, c_0110_12 - 59381091/16591222*c_1100_0^12 + 128726133/33182444*c_1100_0^11 + 1008480683/33182444*c_1100_0^10 + 122562051/16591222*c_1100_0^9 - 2856582149/33182444*c_1100_0^8 - 2642585421/16591222*c_1100_0^7 - 1172432121/8295611*c_1100_0^6 - 929520617/8295611*c_1100_0^5 - 1866255867/16591222*c_1100_0^4 - 646894742/8295611*c_1100_0^3 - 220719290/8295611*c_1100_0^2 - 154344764/8295611*c_1100_0 - 92810333/8295611, c_1001_5 - 70122885/16591222*c_1100_0^12 + 134688397/33182444*c_1100_0^11 + 1222188887/33182444*c_1100_0^10 + 199661711/16591222*c_1100_0^9 - 3402423305/33182444*c_1100_0^8 - 3254141125/16591222*c_1100_0^7 - 1518909934/8295611*c_1100_0^6 - 1263414908/8295611*c_1100_0^5 - 2591124465/16591222*c_1100_0^4 - 911613691/8295611*c_1100_0^3 - 333378644/8295611*c_1100_0^2 - 238319987/8295611*c_1100_0 - 141230323/8295611, c_1100_0^13 - 1/3*c_1100_0^12 - 28/3*c_1100_0^11 - 25/3*c_1100_0^10 + 68/3*c_1100_0^9 + 62*c_1100_0^8 + 72*c_1100_0^7 + 184/3*c_1100_0^6 + 172/3*c_1100_0^5 + 48*c_1100_0^4 + 76/3*c_1100_0^3 + 12*c_1100_0^2 + 8*c_1100_0 + 8/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.470 seconds, Total memory usage: 32.09MB