Magma V2.19-8 Tue Aug 20 2013 23:41:12 on localhost [Seed = 4055340408] Type ? for help. Type -D to quit. Loading file "L12n1038__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1038 geometric_solution 10.39744480 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 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 -2 1 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 1.018677702285 0.947819570110 0 5 6 2 0132 0132 0132 3120 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 1 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535730979662 0.586931894446 1 0 7 3 3120 0132 0132 3120 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 -2 2 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534802515865 0.414786276562 2 8 9 0 3120 0132 0132 0132 0 0 1 0 0 -1 0 1 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 1 0 -1 -2 0 2 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453700687865 0.518738846024 5 5 0 10 0132 1230 0132 0132 0 0 1 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 -1 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580235730372 0.833284716817 4 1 4 7 0132 0132 3012 2031 1 0 1 1 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 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437230890626 0.808200656029 7 10 8 1 2031 2031 3120 0132 1 0 1 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 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699494257745 0.923915271844 10 5 6 2 1023 1302 1302 0132 0 0 1 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 0 0 0 -1 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422205042245 0.582152834470 10 3 6 9 3012 0132 3120 3012 0 0 0 1 0 1 -1 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 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962586106285 0.914024226063 9 9 8 3 1302 2031 1230 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426075714392 0.964920905955 6 7 4 8 1302 1023 0132 1230 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 1 -1 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 -0.198730361474 1.398807341201 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), '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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0110_8'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_3'], '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3462774433841703/15924292673000*c_1001_2^11 - 23216011089245371/7962146336500*c_1001_2^10 + 135859769603716893/7962146336500*c_1001_2^9 - 214618300589541171/3981073168250*c_1001_2^8 + 1417999692435492861/15924292673000*c_1001_2^7 - 104832835191012599/1990536584125*c_1001_2^6 - 288002374005567561/7962146336500*c_1001_2^5 + 81975464339406186/1990536584125*c_1001_2^4 + 326540003885607477/7962146336500*c_1001_2^3 - 19590064934222511/346180275500*c_1001_2^2 + 67000875477782301/15924292673000*c_1001_2 + 24697106480760418/1990536584125, c_0011_0 - 1, c_0011_10 - 626967531/182200145*c_1001_2^11 + 8411709614/182200145*c_1001_2^10 - 49252161317/182200145*c_1001_2^9 + 155700142493/182200145*c_1001_2^8 - 257369908632/182200145*c_1001_2^7 + 152362842369/182200145*c_1001_2^6 + 104709862309/182200145*c_1001_2^5 - 119245264371/182200145*c_1001_2^4 - 118760689403/182200145*c_1001_2^3 + 163846589667/182200145*c_1001_2^2 - 12112074032/182200145*c_1001_2 - 35884998348/182200145, c_0011_3 - 292015761/182200145*c_1001_2^11 + 3914134514/182200145*c_1001_2^10 - 22897710842/182200145*c_1001_2^9 + 72320454488/182200145*c_1001_2^8 - 119421387657/182200145*c_1001_2^7 + 70631973394/182200145*c_1001_2^6 + 48468818754/182200145*c_1001_2^5 - 55345310831/182200145*c_1001_2^4 - 54954837188/182200145*c_1001_2^3 + 75980598977/182200145*c_1001_2^2 - 5577552162/182200145*c_1001_2 - 16729628893/182200145, c_0011_6 - 553147472/182200145*c_1001_2^11 + 7397666068/182200145*c_1001_2^10 - 43172866639/182200145*c_1001_2^9 + 135957396041/182200145*c_1001_2^8 - 223507730139/182200145*c_1001_2^7 + 130814571738/182200145*c_1001_2^6 + 91224044343/182200145*c_1001_2^5 - 102104049612/182200145*c_1001_2^4 - 103439401151/182200145*c_1001_2^3 + 141384913144/182200145*c_1001_2^2 - 10445443329/182200145*c_1001_2 - 31149882106/182200145, c_0011_9 - 174603737/182200145*c_1001_2^11 + 2342767268/182200145*c_1001_2^10 - 13728463679/182200145*c_1001_2^9 + 43486009666/182200145*c_1001_2^8 - 72244027869/182200145*c_1001_2^7 + 43690797448/182200145*c_1001_2^6 + 28304184248/182200145*c_1001_2^5 - 34294816637/182200145*c_1001_2^4 - 32188833791/182200145*c_1001_2^3 + 46721036514/182200145*c_1001_2^2 - 4189067144/182200145*c_1001_2 - 10476545686/182200145, c_0101_0 - 1, c_0101_1 - 626967531/182200145*c_1001_2^11 + 8411709614/182200145*c_1001_2^10 - 49252161317/182200145*c_1001_2^9 + 155700142493/182200145*c_1001_2^8 - 257369908632/182200145*c_1001_2^7 + 152362842369/182200145*c_1001_2^6 + 104709862309/182200145*c_1001_2^5 - 119245264371/182200145*c_1001_2^4 - 118760689403/182200145*c_1001_2^3 + 163846589667/182200145*c_1001_2^2 - 12112074032/182200145*c_1001_2 - 36067198493/182200145, c_0101_2 - 1, c_0101_3 + 292015761/182200145*c_1001_2^11 - 3914134514/182200145*c_1001_2^10 + 22897710842/182200145*c_1001_2^9 - 72320454488/182200145*c_1001_2^8 + 119421387657/182200145*c_1001_2^7 - 70631973394/182200145*c_1001_2^6 - 48468818754/182200145*c_1001_2^5 + 55345310831/182200145*c_1001_2^4 + 54954837188/182200145*c_1001_2^3 - 75980598977/182200145*c_1001_2^2 + 5759752307/182200145*c_1001_2 + 16729628893/182200145, c_0110_8 - 132928873/182200145*c_1001_2^11 + 1779057637/182200145*c_1001_2^10 - 10398247411/182200145*c_1001_2^9 + 32842414839/182200145*c_1001_2^8 - 54360037901/182200145*c_1001_2^7 + 32705470162/182200145*c_1001_2^6 + 21134240062/182200145*c_1001_2^5 - 25450316698/182200145*c_1001_2^4 - 24284490044/182200145*c_1001_2^3 + 35001301926/182200145*c_1001_2^2 - 3320273016/182200145*c_1001_2 - 7805075469/182200145, c_1001_2^12 - 13*c_1001_2^11 + 73*c_1001_2^10 - 216*c_1001_2^9 + 309*c_1001_2^8 - 77*c_1001_2^7 - 263*c_1001_2^6 + 122*c_1001_2^5 + 264*c_1001_2^4 - 184*c_1001_2^3 - 85*c_1001_2^2 + 65*c_1001_2 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB