Magma V2.19-8 Tue Aug 20 2013 17:55:41 on localhost [Seed = 3566560003] Type ? for help. Type -D to quit. Loading file "10_143__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_143 geometric_solution 9.07089927 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 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 1 0 -1 0 0 0 0 -1 1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514297918908 0.493607026742 0 4 3 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -6 6 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448162043469 0.382609491740 0 0 6 5 3012 0132 0132 0213 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 -1 1 0 1 0 0 -1 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.012819551980 1.029303491050 7 1 8 0 0132 0213 0132 0132 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 -6 6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920829889708 0.458225319350 7 1 8 9 1023 0132 2103 0132 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 0 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720671392954 0.534199435014 7 9 1 2 2103 3012 0132 0213 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 1 0 -6 5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444511827890 0.708256277740 8 9 7 2 2031 0321 2031 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366654679009 0.844481532191 3 4 5 6 0132 1023 2103 1302 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 -1 1 1 0 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921089053449 0.822764703475 4 9 6 3 2103 0132 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 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 0.243614978991 1.499521033900 5 8 4 6 1230 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -0.034277142419 0.610103319000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_2'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_5'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 709342756319034/289959761503337*c_1001_1^12 - 370702850210000/289959761503337*c_1001_1^11 - 4362815629430596/289959761503337*c_1001_1^10 - 4736314993847290/289959761503337*c_1001_1^9 + 8008394478497967/289959761503337*c_1001_1^8 + 30925949354091207/289959761503337*c_1001_1^7 + 517837948397365/7836750310901*c_1001_1^6 - 36449520539569060/289959761503337*c_1001_1^5 - 61868600943979945/289959761503337*c_1001_1^4 - 34927600312985892/289959761503337*c_1001_1^3 - 20635693517905931/289959761503337*c_1001_1^2 - 22418995088692840/289959761503337*c_1001_1 - 9534648440717742/289959761503337, c_0011_0 - 1, c_0011_5 - 16428900564/17933067073*c_1001_1^12 - 4127950298/17933067073*c_1001_1^11 + 117819607194/17933067073*c_1001_1^10 + 175324922566/17933067073*c_1001_1^9 - 154512146776/17933067073*c_1001_1^8 - 888366821703/17933067073*c_1001_1^7 - 860119699436/17933067073*c_1001_1^6 + 845626419551/17933067073*c_1001_1^5 + 2111891820714/17933067073*c_1001_1^4 + 1362705828778/17933067073*c_1001_1^3 + 604897498445/17933067073*c_1001_1^2 + 753461713409/17933067073*c_1001_1 + 419883984313/17933067073, c_0011_8 - 47568095770/17933067073*c_1001_1^12 - 8137366128/17933067073*c_1001_1^11 + 339482542348/17933067073*c_1001_1^10 + 480572704290/17933067073*c_1001_1^9 - 468274288049/17933067073*c_1001_1^8 - 2515880773373/17933067073*c_1001_1^7 - 2322853081567/17933067073*c_1001_1^6 + 2513317483230/17933067073*c_1001_1^5 + 5830194939862/17933067073*c_1001_1^4 + 3659888955910/17933067073*c_1001_1^3 + 1750118505338/17933067073*c_1001_1^2 + 2133021136589/17933067073*c_1001_1 + 1070980188159/17933067073, c_0101_0 - 19055215344/17933067073*c_1001_1^12 - 3821686382/17933067073*c_1001_1^11 + 136938301486/17933067073*c_1001_1^10 + 194971008520/17933067073*c_1001_1^9 - 187935468956/17933067073*c_1001_1^8 - 1015363283515/17933067073*c_1001_1^7 - 941881416984/17933067073*c_1001_1^6 + 1016952581550/17933067073*c_1001_1^5 + 2362729598328/17933067073*c_1001_1^4 + 1465987597686/17933067073*c_1001_1^3 + 687579740536/17933067073*c_1001_1^2 + 861918483465/17933067073*c_1001_1 + 419516236042/17933067073, c_0101_2 + 26801383198/17933067073*c_1001_1^12 + 7412033354/17933067073*c_1001_1^11 - 194496047714/17933067073*c_1001_1^10 - 285818460408/17933067073*c_1001_1^9 + 254668740841/17933067073*c_1001_1^8 + 1452247621724/17933067073*c_1001_1^7 + 1407124368945/17933067073*c_1001_1^6 - 1400324437829/17933067073*c_1001_1^5 - 3422885945204/17933067073*c_1001_1^4 - 2205431901574/17933067073*c_1001_1^3 - 1043103952431/17933067073*c_1001_1^2 - 1276470003776/17933067073*c_1001_1 - 664996197788/17933067073, c_0101_3 - 48481048190/17933067073*c_1001_1^12 - 8420398262/17933067073*c_1001_1^11 + 345849933428/17933067073*c_1001_1^10 + 491311747062/17933067073*c_1001_1^9 - 477542294395/17933067073*c_1001_1^8 - 2564721727218/17933067073*c_1001_1^7 - 2371512251688/17933067073*c_1001_1^6 + 2557832451163/17933067073*c_1001_1^5 + 5950413744519/17933067073*c_1001_1^4 + 3727356026905/17933067073*c_1001_1^3 + 1782696011257/17933067073*c_1001_1^2 + 2186820026147/17933067073*c_1001_1 + 1105167014747/17933067073, c_0101_6 - 2879700874/17933067073*c_1001_1^12 - 2115815206/17933067073*c_1001_1^11 + 21245448156/17933067073*c_1001_1^10 + 39663983700/17933067073*c_1001_1^9 - 17153661713/17933067073*c_1001_1^8 - 172576738472/17933067073*c_1001_1^7 - 212711578910/17933067073*c_1001_1^6 + 108268676154/17933067073*c_1001_1^5 + 444849327216/17933067073*c_1001_1^4 + 368254751488/17933067073*c_1001_1^3 + 171764313486/17933067073*c_1001_1^2 + 177386385526/17933067073*c_1001_1 + 105687569660/17933067073, c_0101_9 + 26606862726/17933067073*c_1001_1^12 + 5599563010/17933067073*c_1001_1^11 - 191416006356/17933067073*c_1001_1^10 - 273559971060/17933067073*c_1001_1^9 + 258883815499/17933067073*c_1001_1^8 + 1419846645288/17933067073*c_1001_1^7 + 1333627739950/17933067073*c_1001_1^6 - 1401778967668/17933067073*c_1001_1^5 - 3305480808830/17933067073*c_1001_1^4 - 2110441036014/17933067073*c_1001_1^3 - 1002982728548/17933067073*c_1001_1^2 - 1210161907423/17933067073*c_1001_1 - 605546231954/17933067073, c_1001_0 + 32334566808/17933067073*c_1001_1^12 + 4585572050/17933067073*c_1001_1^11 - 229570105364/17933067073*c_1001_1^10 - 321220058350/17933067073*c_1001_1^9 + 321269435580/17933067073*c_1001_1^8 + 1695154771037/17933067073*c_1001_1^7 + 1544090691817/17933067073*c_1001_1^6 - 1712881334454/17933067073*c_1001_1^5 - 3904354206316/17933067073*c_1001_1^4 - 2432419554374/17933067073*c_1001_1^3 - 1173368230331/17933067073*c_1001_1^2 - 1418752059663/17933067073*c_1001_1 - 718458704295/17933067073, c_1001_1^13 + c_1001_1^12 - 7*c_1001_1^11 - 16*c_1001_1^10 + 3/2*c_1001_1^9 + 61*c_1001_1^8 + 185/2*c_1001_1^7 - 25/2*c_1001_1^6 - 166*c_1001_1^5 - 178*c_1001_1^4 - 201/2*c_1001_1^3 - 151/2*c_1001_1^2 - 119/2*c_1001_1 - 37/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB