Magma V2.19-8 Wed Aug 21 2013 00:57:16 on localhost [Seed = 1545225859] Type ? for help. Type -D to quit. Loading file "L13n4189__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4189 geometric_solution 11.91846510 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 0 1 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 0 0 0 0 0 0 0 1 0 -1 -2 0 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 0.878920587040 1.007482176899 0 5 7 6 0132 0132 0132 0132 1 0 1 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 2 0 -1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443578151489 1.031756182763 8 0 5 9 0132 0132 0321 0132 1 1 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 -1 0 1 0 0 4 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 8 10 11 0 3012 0132 0132 0132 1 0 1 1 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 1 0 1 -2 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362961227692 0.437919230244 11 10 0 7 0132 1230 0132 0132 1 0 1 1 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 0 0 0 4 1 -5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539865989635 0.777891456250 12 1 2 9 0132 0132 0321 1230 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398258602449 0.677119985621 8 12 1 11 2031 1230 0132 0132 1 0 1 1 0 0 0 0 0 0 -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 0 0 1 -1 1 -1 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875992943602 0.772468603280 8 12 4 1 1023 0132 0132 0132 1 0 1 1 0 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 -5 5 0 -1 0 0 1 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398265900172 0.555830313985 2 7 6 3 0132 1023 1302 1230 0 1 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 1 0 -1 0 0 4 -4 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365491569316 0.423783350040 5 11 2 10 3012 2103 0132 2103 1 1 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 -1 1 0 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 0 0.522322804008 0.818164722262 12 3 4 9 3012 0132 3012 2103 1 1 1 1 0 0 0 0 0 0 1 -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 0 -4 4 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416040912423 1.282193575743 4 9 6 3 0132 2103 0132 0132 1 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 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 1.132531758281 1.055934521331 5 7 6 10 0132 0132 3012 1230 1 1 1 1 0 -1 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 0 5 -5 0 0 0 0 0 -4 4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332028280993 0.925562026289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], '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' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0110_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_0110_9, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 10990530495993385818635837/258825697937552186672*c_1100_0^9 + 9642392269747384731058325/258825697937552186672*c_1100_0^8 - 11772717537688527478029381/129412848968776093336*c_1100_0^7 - 1852776334340949579189095/9243774926341149524*c_1100_0^6 + 4184219153170828454039719/23529608903413835152*c_1100_0^5 - 85816681382987866934347/1822716182658818216*c_1100_0^4 - 24619836073629580207566489/258825697937552186672*c_1100_0^3 + 1016435043675335412493545/64706424484388046668*c_1100_0^2 + 2306263592579600217837345/129412848968776093336*c_1100_0 - 339263648937054950574483/23529608903413835152, c_0011_0 - 1, c_0011_10 + 116001438/1599174251*c_1100_0^9 + 215872523/1599174251*c_1100_0^8 + 217327511/1599174251*c_1100_0^7 + 230434681/1599174251*c_1100_0^6 - 26998855/1599174251*c_1100_0^5 - 32440092/22523581*c_1100_0^4 - 2843794480/1599174251*c_1100_0^3 + 2891943930/1599174251*c_1100_0^2 - 463267371/1599174251*c_1100_0 - 2227690534/1599174251, c_0011_11 + 14191009675/1599174251*c_1100_0^9 + 3451282786/1599174251*c_1100_0^8 - 44990727933/1599174251*c_1100_0^7 - 56376379361/1599174251*c_1100_0^6 + 113483465241/1599174251*c_1100_0^5 - 216752468/22523581*c_1100_0^4 - 35408102130/1599174251*c_1100_0^3 + 20128773455/1599174251*c_1100_0^2 + 16214484314/1599174251*c_1100_0 - 5206072738/1599174251, c_0011_6 + 4586720428/1599174251*c_1100_0^9 - 778441929/1599174251*c_1100_0^8 - 16393412183/1599174251*c_1100_0^7 - 14314572918/1599174251*c_1100_0^6 + 46200543739/1599174251*c_1100_0^5 - 169810135/22523581*c_1100_0^4 - 11425281171/1599174251*c_1100_0^3 + 11295885733/1599174251*c_1100_0^2 + 6296222723/1599174251*c_1100_0 - 2561001214/1599174251, c_0011_9 - 2474524420/1599174251*c_1100_0^9 + 523454840/1599174251*c_1100_0^8 + 10381575145/1599174251*c_1100_0^7 + 9190217464/1599174251*c_1100_0^6 - 27937543207/1599174251*c_1100_0^5 - 129034/22523581*c_1100_0^4 + 8426718123/1599174251*c_1100_0^3 - 8260228175/1599174251*c_1100_0^2 - 4878254039/1599174251*c_1100_0 + 850265138/1599174251, c_0101_0 - 1, c_0101_1 + 11152620942/1599174251*c_1100_0^9 + 11656440279/1599174251*c_1100_0^8 - 21789663172/1599174251*c_1100_0^7 - 56842989784/1599174251*c_1100_0^6 + 35712245442/1599174251*c_1100_0^5 - 82608480/22523581*c_1100_0^4 - 20702106051/1599174251*c_1100_0^3 + 89993069/1599174251*c_1100_0^2 + 2460590034/1599174251*c_1100_0 - 1726235939/1599174251, c_0101_10 - 10681641824/1599174251*c_1100_0^9 - 6473766332/1599174251*c_1100_0^8 + 29157163027/1599174251*c_1100_0^7 + 49706365916/1599174251*c_1100_0^6 - 64596738766/1599174251*c_1100_0^5 + 11348670/22523581*c_1100_0^4 + 24644672733/1599174251*c_1100_0^3 - 5497130024/1599174251*c_1100_0^2 - 10099695412/1599174251*c_1100_0 + 1777512271/1599174251, c_0101_11 + 4190990467/1599174251*c_1100_0^9 + 1126285265/1599174251*c_1100_0^8 - 13124436584/1599174251*c_1100_0^7 - 17249206853/1599174251*c_1100_0^6 + 32966695578/1599174251*c_1100_0^5 - 39393665/22523581*c_1100_0^4 - 8429560969/1599174251*c_1100_0^3 + 1914282068/1599174251*c_1100_0^2 + 4549089747/1599174251*c_1100_0 - 1197054217/1599174251, c_0110_10 + 20145575229/1599174251*c_1100_0^9 + 23783820916/1599174251*c_1100_0^8 - 36758495829/1599174251*c_1100_0^7 - 108081152285/1599174251*c_1100_0^6 + 52041328911/1599174251*c_1100_0^5 - 11535740/22523581*c_1100_0^4 - 42635074482/1599174251*c_1100_0^3 - 5132976802/1599174251*c_1100_0^2 + 8847219402/1599174251*c_1100_0 - 2834464374/1599174251, c_0110_9 - 13931517408/1599174251*c_1100_0^9 - 15131309630/1599174251*c_1100_0^8 + 29072973009/1599174251*c_1100_0^7 + 76333282453/1599174251*c_1100_0^6 - 44614552769/1599174251*c_1100_0^5 - 125897085/22523581*c_1100_0^4 + 26915244736/1599174251*c_1100_0^3 + 2055952198/1599174251*c_1100_0^2 - 8943667868/1599174251*c_1100_0 - 95932047/1599174251, c_1001_3 - 13797528253/1599174251*c_1100_0^9 - 14647861173/1599174251*c_1100_0^8 + 29808355126/1599174251*c_1100_0^7 + 75726276408/1599174251*c_1100_0^6 - 46706267267/1599174251*c_1100_0^5 - 162586775/22523581*c_1100_0^4 + 29718481684/1599174251*c_1100_0^3 + 1551743143/1599174251*c_1100_0^2 - 12722767355/1599174251*c_1100_0 - 102755661/1599174251, c_1100_0^10 + 12/17*c_1100_0^9 - 39/17*c_1100_0^8 - 74/17*c_1100_0^7 + 5*c_1100_0^6 - 31/17*c_1100_0^5 - 35/17*c_1100_0^4 + 13/17*c_1100_0^3 + 6/17*c_1100_0^2 - 7/17*c_1100_0 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB