Magma V2.19-8 Tue Aug 20 2013 23:46:28 on localhost [Seed = 1916016742] Type ? for help. Type -D to quit. Loading file "K14n18935__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18935 geometric_solution 10.15337293 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 11 0 -12 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 1.033959761260 0.577563738789 0 2 6 5 0132 3201 0132 0132 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.419075956928 0.941907540681 6 0 1 5 2103 0132 2310 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 0.507803067920 0.404976355667 7 8 7 0 0132 0132 3012 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 1 0 -1 0 0 -12 12 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.112883303303 0.533081692898 8 5 0 9 2103 3120 0132 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 -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 0.936730991118 0.760864775277 10 4 1 2 0132 3120 0132 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 0.220696894430 0.564772086419 11 10 2 1 0132 3201 2103 0132 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 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411494530118 1.577347699320 3 3 10 9 0132 1230 0132 2310 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 12 -11 -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 -0.380182492175 1.795379127018 11 3 4 9 2103 0132 2103 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 -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 0.772495637087 0.454385325578 7 11 4 8 3201 0132 0132 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 1 -1 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 0.038246143225 0.565707841386 5 11 6 7 0132 1302 2310 0132 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262854026127 0.411765332323 6 9 8 10 0132 0132 2103 2031 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 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936730991118 0.760864775277 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0110_8'], '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_1'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_9' : negation(d['c_0110_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_3'], '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' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_2'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], '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_0101_3']), 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(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_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_0110_2*c_0110_8 - c_0110_2 + 1, c_0011_0 - 1, c_0011_10 - c_0110_2 + 1, c_0011_11 - c_0110_2 + c_0110_8 - 1, c_0011_3 + c_0110_2*c_0110_8, c_0011_4 + c_0110_2 - 1, c_0101_0 - c_0110_8 + 1, c_0101_1 - c_0110_2 + c_0110_8 - 1, c_0101_2 - 1, c_0101_3 + c_0110_2*c_0110_8 - c_0110_8 + 1, c_0110_2^2 - c_0110_2*c_0110_8 + c_0110_8, c_0110_8^2 - c_0110_8 + 1, c_1001_2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16393203697/1163702435840*c_1001_2^5 + 28183447681/581851217920*c_1001_2^4 + 30934338019/116370243584*c_1001_2^3 + 683280565/3636570112*c_1001_2^2 + 20596119463/50595758080*c_1001_2 - 1964925081649/581851217920, c_0011_0 - 1, c_0011_10 - 1/56*c_1001_2^4 - 3/56*c_1001_2^3 - 17/56*c_1001_2^2 + 15/56*c_1001_2 + 11/28, c_0011_11 - 1/112*c_1001_2^5 - 1/28*c_1001_2^4 - 1/7*c_1001_2^3 - 5/56*c_1001_2^2 - 23/112*c_1001_2 + 299/56, c_0011_3 - 1/56*c_1001_2^4 + 1/56*c_1001_2^3 + 3/56*c_1001_2^2 + 39/56*c_1001_2 + 19/28, c_0011_4 + 1/112*c_1001_2^5 + 1/28*c_1001_2^4 + 5/28*c_1001_2^3 + 1/56*c_1001_2^2 + 19/112*c_1001_2 + 17/56, c_0101_0 - 1/112*c_1001_2^5 - 1/56*c_1001_2^4 - 5/56*c_1001_2^3 + 3/14*c_1001_2^2 + 59/112*c_1001_2 + 53/56, c_0101_1 - 1/112*c_1001_2^5 - 1/28*c_1001_2^4 - 1/7*c_1001_2^3 - 5/56*c_1001_2^2 + 89/112*c_1001_2 + 131/56, c_0101_2 - 1/112*c_1001_2^5 - 1/56*c_1001_2^4 - 1/8*c_1001_2^3 + 2/7*c_1001_2^2 - 7/16*c_1001_2 + 129/56, c_0101_3 + 1/112*c_1001_2^5 + 3/28*c_1001_2^3 - 9/56*c_1001_2^2 + 19/112*c_1001_2 - 127/56, c_0110_2 + 1/112*c_1001_2^5 + 1/28*c_1001_2^4 + 5/28*c_1001_2^3 + 1/56*c_1001_2^2 - 93/112*c_1001_2 - 95/56, c_0110_8 + 1/28*c_1001_2^3 - 1/14*c_1001_2^2 - 1/28*c_1001_2 - 5/14, c_1001_2^6 + 3*c_1001_2^5 + 16*c_1001_2^4 - 2*c_1001_2^3 - 15*c_1001_2^2 - 337*c_1001_2 - 82 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 89130446353814544/41149317422063*c_1001_2^14 - 600369268069862387/82298634844126*c_1001_2^13 + 229704712394931747/82298634844126*c_1001_2^12 + 1040005460418324999/82298634844126*c_1001_2^11 - 349250732848871245/41149317422063*c_1001_2^10 - 815971232446642187/82298634844126*c_1001_2^9 + 410368978297631361/82298634844126*c_1001_2^8 + 153312900397689123/41149317422063*c_1001_2^7 + 326968582028280103/82298634844126*c_1001_2^6 - 129080807744346116/41149317422063*c_1001_2^5 - 193110817375793679/82298634844126*c_1001_2^4 - 4294425627120857/41149317422063*c_1001_2^3 + 47985043995270395/82298634844126*c_1001_2^2 + 33227876335078269/82298634844126*c_1001_2 + 3574040914067944/41149317422063, c_0011_0 - 1, c_0011_10 + 1780140043840/43636603841*c_1001_2^14 - 5016207714774/43636603841*c_1001_2^13 - 1384616546535/43636603841*c_1001_2^12 + 12836285743524/43636603841*c_1001_2^11 - 1410701655538/43636603841*c_1001_2^10 - 14313617413634/43636603841*c_1001_2^9 + 397442186784/43636603841*c_1001_2^8 + 7405982617916/43636603841*c_1001_2^7 + 4744221618226/43636603841*c_1001_2^6 - 1599642572049/43636603841*c_1001_2^5 - 4273027366498/43636603841*c_1001_2^4 - 852872370316/43636603841*c_1001_2^3 + 870162448744/43636603841*c_1001_2^2 + 725435597918/43636603841*c_1001_2 + 229096931903/43636603841, c_0011_11 - 269020913120/43636603841*c_1001_2^14 + 827721556349/43636603841*c_1001_2^13 + 228994243814/43636603841*c_1001_2^12 - 2312792421680/43636603841*c_1001_2^11 + 42358690558/43636603841*c_1001_2^10 + 2833692732452/43636603841*c_1001_2^9 + 452906686598/43636603841*c_1001_2^8 - 1522491555293/43636603841*c_1001_2^7 - 1355575998679/43636603841*c_1001_2^6 + 55176682030/43636603841*c_1001_2^5 + 928186004408/43636603841*c_1001_2^4 + 458829135344/43636603841*c_1001_2^3 - 33553530720/43636603841*c_1001_2^2 - 188733585624/43636603841*c_1001_2 - 90859076676/43636603841, c_0011_3 - 2890024486080/43636603841*c_1001_2^14 + 8308531215602/43636603841*c_1001_2^13 + 1075988085757/43636603841*c_1001_2^12 - 19200288562223/43636603841*c_1001_2^11 + 4272063766499/43636603841*c_1001_2^10 + 18975366026506/43636603841*c_1001_2^9 - 2103956758252/43636603841*c_1001_2^8 - 8138967633604/43636603841*c_1001_2^7 - 6719981004700/43636603841*c_1001_2^6 + 1966569018853/43636603841*c_1001_2^5 + 5496719359578/43636603841*c_1001_2^4 + 733999195058/43636603841*c_1001_2^3 - 781950679520/43636603841*c_1001_2^2 - 880794465105/43636603841*c_1001_2 - 265617671318/43636603841, c_0011_4 - 269020913120/43636603841*c_1001_2^14 + 827721556349/43636603841*c_1001_2^13 + 228994243814/43636603841*c_1001_2^12 - 2312792421680/43636603841*c_1001_2^11 + 42358690558/43636603841*c_1001_2^10 + 2833692732452/43636603841*c_1001_2^9 + 452906686598/43636603841*c_1001_2^8 - 1522491555293/43636603841*c_1001_2^7 - 1355575998679/43636603841*c_1001_2^6 + 55176682030/43636603841*c_1001_2^5 + 928186004408/43636603841*c_1001_2^4 + 458829135344/43636603841*c_1001_2^3 - 33553530720/43636603841*c_1001_2^2 - 188733585624/43636603841*c_1001_2 - 90859076676/43636603841, c_0101_0 - 3690597440000/43636603841*c_1001_2^14 + 10300868043728/43636603841*c_1001_2^13 + 3001609838551/43636603841*c_1001_2^12 - 26036856482644/43636603841*c_1001_2^11 + 2370074632720/43636603841*c_1001_2^10 + 28315846668024/43636603841*c_1001_2^9 - 235853470428/43636603841*c_1001_2^8 - 13634310889358/43636603841*c_1001_2^7 - 9539957317832/43636603841*c_1001_2^6 + 2266830414216/43636603841*c_1001_2^5 + 7916762238808/43636603841*c_1001_2^4 + 1720373455900/43636603841*c_1001_2^3 - 1260517694420/43636603841*c_1001_2^2 - 1181512204884/43636603841*c_1001_2 - 418124082008/43636603841, c_0101_1 - 1780140043840/43636603841*c_1001_2^14 + 5016207714774/43636603841*c_1001_2^13 + 1384616546535/43636603841*c_1001_2^12 - 12836285743524/43636603841*c_1001_2^11 + 1410701655538/43636603841*c_1001_2^10 + 14313617413634/43636603841*c_1001_2^9 - 397442186784/43636603841*c_1001_2^8 - 7405982617916/43636603841*c_1001_2^7 - 4744221618226/43636603841*c_1001_2^6 + 1599642572049/43636603841*c_1001_2^5 + 4273027366498/43636603841*c_1001_2^4 + 852872370316/43636603841*c_1001_2^3 - 870162448744/43636603841*c_1001_2^2 - 725435597918/43636603841*c_1001_2 - 229096931903/43636603841, c_0101_2 + c_1001_2, c_0101_3 + 2890024486080/43636603841*c_1001_2^14 - 8308531215602/43636603841*c_1001_2^13 - 1075988085757/43636603841*c_1001_2^12 + 19200288562223/43636603841*c_1001_2^11 - 4272063766499/43636603841*c_1001_2^10 - 18975366026506/43636603841*c_1001_2^9 + 2103956758252/43636603841*c_1001_2^8 + 8138967633604/43636603841*c_1001_2^7 + 6719981004700/43636603841*c_1001_2^6 - 1966569018853/43636603841*c_1001_2^5 - 5496719359578/43636603841*c_1001_2^4 - 733999195058/43636603841*c_1001_2^3 + 781950679520/43636603841*c_1001_2^2 + 880794465105/43636603841*c_1001_2 + 265617671318/43636603841, c_0110_2 - 1127350409792/43636603841*c_1001_2^14 + 2794116562454/43636603841*c_1001_2^13 + 1603743117508/43636603841*c_1001_2^12 - 7199987215658/43636603841*c_1001_2^11 - 915090767378/43636603841*c_1001_2^10 + 7813638604752/43636603841*c_1001_2^9 + 1379830674724/43636603841*c_1001_2^8 - 3495717886422/43636603841*c_1001_2^7 - 3182630800785/43636603841*c_1001_2^6 + 119369733334/43636603841*c_1001_2^5 + 2213649472144/43636603841*c_1001_2^4 + 762995772204/43636603841*c_1001_2^3 - 315539300008/43636603841*c_1001_2^2 - 378542264309/43636603841*c_1001_2 - 170960546370/43636603841, c_0110_8 - 3421576526880/43636603841*c_1001_2^14 + 9473146487379/43636603841*c_1001_2^13 + 2772615594737/43636603841*c_1001_2^12 - 23724064060964/43636603841*c_1001_2^11 + 2327715942162/43636603841*c_1001_2^10 + 25482153935572/43636603841*c_1001_2^9 - 688760157026/43636603841*c_1001_2^8 - 12111819334065/43636603841*c_1001_2^7 - 8184381319153/43636603841*c_1001_2^6 + 2211653732186/43636603841*c_1001_2^5 + 6988576234400/43636603841*c_1001_2^4 + 1261544320556/43636603841*c_1001_2^3 - 1226964163700/43636603841*c_1001_2^2 - 992778619260/43636603841*c_1001_2 - 327265005332/43636603841, c_1001_2^15 - 83/32*c_1001_2^14 - 21/16*c_1001_2^13 + 109/16*c_1001_2^12 + 5/8*c_1001_2^11 - 61/8*c_1001_2^10 - 21/16*c_1001_2^9 + 115/32*c_1001_2^8 + 13/4*c_1001_2^7 - 1/8*c_1001_2^6 - 9/4*c_1001_2^5 - 7/8*c_1001_2^4 + 1/4*c_1001_2^3 + 13/32*c_1001_2^2 + 3/16*c_1001_2 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.620 Total time: 2.830 seconds, Total memory usage: 32.09MB