Magma V2.19-8 Tue Aug 20 2013 23:52:23 on localhost [Seed = 1528639605] Type ? for help. Type -D to quit. Loading file "L13n2659__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2659 geometric_solution 10.58956603 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 -10 0 10 0 1 -1 0 0 11 -10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830931263522 1.429030511741 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 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 10 0 -10 0 -11 0 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305534410795 0.393811407274 4 0 5 5 0213 0132 3120 0213 1 1 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 -1 0 1 0 0 0 0 -10 10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727500896635 0.562581869881 8 6 9 0 0132 0321 0132 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 0 0 0 0 0 10 -10 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051857539502 0.840468868434 2 6 0 10 0213 3120 0132 0132 1 1 1 1 0 -1 0 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 0 0 0 0 -11 1 10 10 0 0 -10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073055685208 0.944505972704 11 1 2 2 0132 0132 3120 0213 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 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 0.727500896635 0.562581869881 8 4 1 3 3012 3120 0132 0321 1 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 0 0 0 0 0 0 0 -1 0 1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.211053090294 0.781864480715 11 11 9 1 1230 2310 0213 0132 1 1 1 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 -10 10 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302632811109 1.439733680866 3 8 8 6 0132 3201 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.308768048607 0.756198030022 10 7 10 3 1302 0213 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 -1 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 0 0 10 -10 -10 10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428362988199 0.758189217879 11 9 4 9 2103 2031 0132 0132 1 1 0 1 0 1 -1 0 0 0 1 -1 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 10 -10 0 0 0 10 -10 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428362988199 0.758189217879 5 7 10 7 0132 3012 2103 3201 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 0 0 0 0 0 0 0 0 0 0 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 1.139821686377 0.665182306093 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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_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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_0'], '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' : d['c_0011_4'], 'c_0011_7' : negation(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_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], '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' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 61*c_1100_0^5 + 144*c_1100_0^4 - 100*c_1100_0^3 - 257*c_1100_0^2 - 244*c_1100_0 - 61, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + c_1100_0^4 + 2*c_1100_0^3 - 3*c_1100_0^2 - 4*c_1100_0 - 1, c_0011_4 + c_1100_0 + 1, c_0011_6 - 1, c_0011_9 - 2*c_1100_0^5 - 6*c_1100_0^4 + c_1100_0^3 + 12*c_1100_0^2 + 11*c_1100_0 + 4, c_0101_0 - 2*c_1100_0^4 - 4*c_1100_0^3 + 5*c_1100_0^2 + 7*c_1100_0 + 4, c_0101_10 + c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 - 3*c_1100_0 - 2, c_0101_5 + c_1100_0, c_1001_2 + c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 - 3*c_1100_0 - 2, c_1001_3 - 2*c_1100_0^5 - 5*c_1100_0^4 + 3*c_1100_0^3 + 9*c_1100_0^2 + 7*c_1100_0 + 2, c_1100_0^6 + 3*c_1100_0^5 - 5*c_1100_0^3 - 7*c_1100_0^2 - 4*c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3636230645302929/50659866846688*c_1100_0^9 + 42051607533809691/25329933423344*c_1100_0^8 - 1586715952344876019/101319733693376*c_1100_0^7 + 7743236288780185/99528225632*c_1100_0^6 - 22075406678609586781/101319733693376*c_1100_0^5 + 2097835170253995943/6332483355836*c_1100_0^4 - 951311417007831589/4605442440608*c_1100_0^3 - 3939041704590917349/50659866846688*c_1100_0^2 + 8167857755579123585/50659866846688*c_1100_0 - 2722853378767964671/50659866846688, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 2249169473/99724147336*c_1100_0^9 + 24729722451/49862073668*c_1100_0^8 - 870351849923/199448294672*c_1100_0^7 + 3849523537/195921704*c_1100_0^6 - 9485872774765/199448294672*c_1100\ _0^5 + 700075981741/12465518417*c_1100_0^4 - 128261480997/9065831576*c_1100_0^3 - 2862011528349/99724147336*c_1100_0^2 + 1795029107529/99724147336*c_1100_0 - 300188189623/99724147336, c_0011_4 + 52274790/12465518417*c_1100_0^9 - 1073025914/12465518417*c_1100_0^8 + 8586443183/12465518417*c_1100_0^7 - 66352267/24490213*c_1100_0^6 + 66632163946/12465518417*c_1100_0^5 - 53702880983/12465518417*c_1100_0^4 - 587857060/1133228947*c_1100_0^3 + 30059974778/12465518417*c_1100_0^2 - 17552308617/12465518417*c_1100_0 + 7278175035/12465518417, c_0011_6 + 52274790/12465518417*c_1100_0^9 - 1073025914/12465518417*c_1100_0^8 + 8586443183/12465518417*c_1100_0^7 - 66352267/24490213*c_1100_0^6 + 66632163946/12465518417*c_1100_0^5 - 53702880983/12465518417*c_1100_0^4 - 587857060/1133228947*c_1100_0^3 + 30059974778/12465518417*c_1100_0^2 - 5086790200/12465518417*c_1100_0 - 5187343382/12465518417, c_0011_9 - 4365937387/49862073668*c_1100_0^9 + 97645030221/49862073668*c_1100_0^8 - 1757873329431/99724147336*c_1100_0^7 + 16042485253/195921704*c_1100_0^6 - 10334213051127/49862073668*c_1100_0^5 + 6591720328733/24931036834*c_1100_0^4 - 432356416969/4532915788*c_1100_0^3 - 1450121715391/12465518417*c_1100_0^2 + 5027134090213/49862073668*c_1100_0 - 477469827733/24931036834, c_0101_0 + 6295328947/49862073668*c_1100_0^9 - 35146347636/12465518417*c_1100_0^8 + 2526758674069/99724147336*c_1100_0^7 - 5754406235/48980426*c_1100_0^6 + 29583099047261/99724147336*c_1100_\ 0^5 - 4689836106619/12465518417*c_1100_0^4 + 589850652803/4532915788*c_1100_0^3 + 8599967078761/49862073668*c_1100_0^2 - 7084457362091/49862073668*c_1100_0 + 1261854985739/49862073668, c_0101_10 + 2599700937/24931036834*c_1100_0^9 - 29213217727/12465518417*c_1100_0^8 + 1058081749251/49862073668*c_1100_0^7 - 4861892449/48980426*c_1100_0^6 + 12626968125185/49862073668*c_1100_\ 0^5 - 4064489006997/12465518417*c_1100_0^4 + 272197076783/2266457894*c_1100_0^3 + 3548761087585/24931036834*c_1100_0^2 - 3111608414743/24931036834*c_1100_0 + 595088766827/24931036834, c_0101_5 - 52274790/12465518417*c_1100_0^9 + 1073025914/12465518417*c_1100_0^8 - 8586443183/12465518417*c_1100_0^7 + 66352267/24490213*c_1100_0^6 - 66632163946/12465518417*c_1100_0^5 + 53702880983/12465518417*c_1100_0^4 + 587857060/1133228947*c_1100_0^3 - 30059974778/12465518417*c_1100_0^2 + 17552308617/12465518417*c_1100_0 - 7278175035/12465518417, c_1001_2 + 1594407707/49862073668*c_1100_0^9 - 17861094019/24931036834*c_1100_0^8 + 645881375833/99724147336*c_1100_0^7 - 2973472693/97960852*c_1100_0^6 + 7789896245443/99724147336*c_1100_0^5 - 1281333753320/12465518417*c_1100_0^4 + 186840842715/4532915788*c_1100_0^3 + 2139405551647/49862073668*c_1100_0^2 - 2000338848735/49862073668*c_1100_0 + 400465607317/49862073668, c_1001_3 - 80283475/1133228947*c_1100_0^9 + 3565326797/2266457894*c_1100_0^8 - 15904354095/1133228947*c_1100_0^7 + 574427305/8905532*c_1100_0^6 - 731041634279/4532915788*c_1100_0^5 + 229748301976/1133228947*c_1100_0^4 - 80079670093/1133228947*c_1100_0^3 - 204702343089/2266457894*c_1100_0^2 + 87069348885/1133228947*c_1100_0 - 32713717149/2266457894, c_1100_0^10 - 23*c_1100_0^9 + 431/2*c_1100_0^8 - 2125/2*c_1100_0^7 + 5911/2*c_1100_0^6 - 8989/2*c_1100_0^5 + 2935*c_1100_0^4 + 710*c_1100_0^3 - 1990*c_1100_0^2 + 912*c_1100_0 - 127 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB