Magma V2.19-8 Tue Aug 20 2013 23:29:49 on localhost [Seed = 2581594063] Type ? for help. Type -D to quit. Loading file "K14n24778__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24778 geometric_solution 7.75158007 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 -14 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316588299070 1.025950694449 0 5 4 2 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038400389662 0.709887519190 5 0 3 1 0132 0132 2103 2103 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 1 0 -14 0 14 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 -0.503767736228 0.436616278245 2 6 7 0 2103 0132 0132 0132 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 0 -14 14 -14 0 14 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463676666783 0.362522150004 1 8 0 5 2310 0132 0132 1023 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 -13 13 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 0.574980240649 0.740747213188 2 1 8 4 0132 0132 1302 1023 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 0 0 0 14 0 -1 -13 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947906381886 1.721461868045 6 3 6 8 2310 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491080685019 1.192597535109 7 8 7 3 2310 0213 3201 0132 0 0 0 0 0 0 1 -1 -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 0 -14 14 14 0 0 -14 0 0 0 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794286174533 0.909990123952 5 4 7 6 2031 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.338487561774 1.046486535573 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_8' : d['c_0101_2'], 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0011_3'], 'c_1010_8' : d['c_0011_3'], '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 'c_0110_8' : d['c_0101_6'], '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_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 359003625599334419/5975027745142667*c_1001_3^10 - 917842839550468231/5975027745142667*c_1001_3^9 + 1126402017756205307/5975027745142667*c_1001_3^8 + 1302415560524451500/5975027745142667*c_1001_3^7 + 11278307542278616548/5975027745142667*c_1001_3^6 + 7572457721132644469/5975027745142667*c_1001_3^5 - 76988651775047326583/5975027745142667*c_1001_3^4 + 76387888824934574541/5975027745142667*c_1001_3^3 - 23702110054384060273/5975027745142667*c_1001_3^2 + 24161321422174894980/5975027745142667*c_1001_3 - 35110529871870068493/5975027745142667, c_0011_0 - 1, c_0011_3 + 69508555385/7313375453051*c_1001_3^10 + 147052216470/7313375453051*c_1001_3^9 - 410847657367/7313375453051*c_1001_3^8 - 646962835759/7313375453051*c_1001_3^7 - 2403304034882/7313375453051*c_1001_3^6 - 238237172446/7313375453051*c_1001_3^5 + 19828437476127/7313375453051*c_1001_3^4 - 11809476268047/7313375453051*c_1001_3^3 - 2865825524110/7313375453051*c_1001_3^2 - 13030768988106/7313375453051*c_1001_3 - 3226313219493/7313375453051, c_0011_4 + 5256386402/384914497529*c_1001_3^10 + 17275333585/384914497529*c_1001_3^9 - 3914577648/384914497529*c_1001_3^8 - 15967269910/384914497529*c_1001_3^7 - 150536797773/384914497529*c_1001_3^6 - 181550988917/384914497529*c_1001_3^5 + 1051642377013/384914497529*c_1001_3^4 - 458452084829/384914497529*c_1001_3^3 - 403230800165/384914497529*c_1001_3^2 - 490473628511/384914497529*c_1001_3 - 266614640154/384914497529, c_0011_7 - 45002765112/7313375453051*c_1001_3^10 - 214166327025/7313375453051*c_1001_3^9 - 358595277742/7313375453051*c_1001_3^8 - 535363244419/7313375453051*c_1001_3^7 + 964509170107/7313375453051*c_1001_3^6 + 3868972708403/7313375453051*c_1001_3^5 - 108449872839/7313375453051*c_1001_3^4 + 4730277389958/7313375453051*c_1001_3^3 - 7509829422944/7313375453051*c_1001_3^2 - 293389771082/7313375453051*c_1001_3 - 110755253135/7313375453051, c_0101_0 + 5256386402/384914497529*c_1001_3^10 + 17275333585/384914497529*c_1001_3^9 - 3914577648/384914497529*c_1001_3^8 - 15967269910/384914497529*c_1001_3^7 - 150536797773/384914497529*c_1001_3^6 - 181550988917/384914497529*c_1001_3^5 + 1051642377013/384914497529*c_1001_3^4 - 458452084829/384914497529*c_1001_3^3 - 403230800165/384914497529*c_1001_3^2 - 490473628511/384914497529*c_1001_3 - 266614640154/384914497529, c_0101_1 + 13912525581/7313375453051*c_1001_3^10 + 82973405288/7313375453051*c_1001_3^9 + 269616484759/7313375453051*c_1001_3^8 + 588883741746/7313375453051*c_1001_3^7 - 106665422745/7313375453051*c_1001_3^6 - 2137062937441/7313375453051*c_1001_3^5 - 5034312180629/7313375453051*c_1001_3^4 - 7347926624777/7313375453051*c_1001_3^3 + 14620492628288/7313375453051*c_1001_3^2 + 4887410746865/7313375453051*c_1001_3 + 3185829536048/7313375453051, c_0101_2 - 2437463419/7313375453051*c_1001_3^10 + 66180135423/7313375453051*c_1001_3^9 + 329116809697/7313375453051*c_1001_3^8 + 321779791735/7313375453051*c_1001_3^7 + 171918092232/7313375453051*c_1001_3^6 - 2376009055798/7313375453051*c_1001_3^5 - 6862937590393/7313375453051*c_1001_3^4 + 6467768916405/7313375453051*c_1001_3^3 - 1390137982901/7313375453051*c_1001_3^2 + 8175035079074/7313375453051*c_1001_3 + 538791932967/7313375453051, c_0101_6 + 105106540903/7313375453051*c_1001_3^10 + 554832873949/7313375453051*c_1001_3^9 + 931207197970/7313375453051*c_1001_3^8 + 913445695894/7313375453051*c_1001_3^7 - 2576689944930/7313375453051*c_1001_3^6 - 10740458100574/7313375453051*c_1001_3^5 + 200723561232/7313375453051*c_1001_3^4 + 2666936542301/7313375453051*c_1001_3^3 + 5062001984130/7313375453051*c_1001_3^2 + 5740301944212/7313375453051*c_1001_3 + 4043931498501/7313375453051, c_1001_3^11 + 3*c_1001_3^10 - 2*c_1001_3^9 - 5*c_1001_3^8 - 33*c_1001_3^7 - 35*c_1001_3^6 + 205*c_1001_3^5 - 118*c_1001_3^4 - 28*c_1001_3^3 - 38*c_1001_3^2 + 68*c_1001_3 + 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB