Magma V2.19-8 Wed Aug 21 2013 00:42:40 on localhost [Seed = 374341997] Type ? for help. Type -D to quit. Loading file "K14n4704__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4704 geometric_solution 11.80194684 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 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 1 0 -1 -1 0 1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727983725976 0.766616373688 0 4 0 5 0132 0132 3012 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 1 -1 0 1 0 -1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348654246935 0.685911376058 6 3 7 0 0132 1023 0132 0132 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 1 -1 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697308493870 1.371822752116 2 8 0 4 1023 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272016274024 0.766616373688 5 1 3 9 3120 0132 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 -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 0.576688236020 0.347557380573 10 11 1 4 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153376472041 0.695114761147 2 12 10 11 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863863378818 0.934388099283 10 8 9 2 1302 0321 0132 0132 0 0 0 0 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 1 0 0 -1 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196335346934 0.504314187035 12 3 11 7 0132 0132 0132 0321 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 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068431554464 0.728857441846 10 11 4 7 2103 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.562110314054 1.363818372517 5 7 9 6 0132 2031 2103 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780494674872 0.819724134241 6 5 9 8 3201 0132 0213 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 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 0.124094264474 1.142628312941 8 6 12 12 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 12 0 -12 0 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485386901689 0.706938227351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_4'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : d['c_0011_9'], '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_12' : 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' : d['c_0011_10'], 'c_1100_8' : d['c_1001_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_0101_1'], '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'], 'c_1100_12' : d['c_0101_8'], '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_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_9']), '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_12, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_4, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 276169/509696*c_1100_0^6 - 209567/509696*c_1100_0^5 - 755531/509696*c_1100_0^4 - 6715/11584*c_1100_0^3 - 440839/254848*c_1100_0^2 - 371545/509696*c_1100_0 - 387471/509696, c_0011_0 - 1, c_0011_10 + c_1100_0^2 + 1, c_0011_12 - c_1100_0^6 + c_1100_0^5 - c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 + c_1100_0, c_0011_7 + c_1100_0^6 - c_1100_0^5 + 2*c_1100_0^4 - 3*c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0, c_0011_9 - c_1100_0^2 - 1, c_0101_0 + c_1100_0^6 + c_1100_0^5 + c_1100_0^4 + 2*c_1100_0 - 1, c_0101_1 + 1, c_0101_10 - c_1100_0^6 + c_1100_0^5 - c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 + c_1100_0, c_0101_4 + c_1100_0^6 + c_1100_0^5 + c_1100_0^4 + c_1100_0 - 1, c_0101_8 + c_1100_0^6 + 2*c_1100_0^4 - c_1100_0^3 + 2*c_1100_0^2 - c_1100_0, c_1001_4 + c_1100_0, c_1001_7 - 1/2*c_1100_0^6 + 1/2*c_1100_0^5 - 3/2*c_1100_0^4 + c_1100_0^3 - 2*c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_1100_0^7 + 2*c_1100_0^5 - c_1100_0^4 + 2*c_1100_0^3 - c_1100_0^2 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_1001_4, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 33720944/23294427*c_1100_0^11 - 71308715/23294427*c_1100_0^10 - 14887247/7764809*c_1100_0^9 + 369453469/23294427*c_1100_0^8 - 187563196/23294427*c_1100_0^7 - 416822140/23294427*c_1100_0^6 + 18562872/597293*c_1100_0^5 - 185476040/23294427*c_1100_0^4 - 57471522/7764809*c_1100_0^3 + 169978336/7764809*c_1100_0^2 - 170789459/23294427*c_1100_0 + 140634380/23294427, c_0011_0 - 1, c_0011_10 + 364664/597293*c_1100_0^11 - 480636/597293*c_1100_0^10 - 825983/597293*c_1100_0^9 + 2554317/597293*c_1100_0^8 + 1659402/597293*c_1100_0^7 - 2474779/597293*c_1100_0^6 - 1398876/597293*c_1100_0^5 + 1331473/597293*c_1100_0^4 + 6112187/597293*c_1100_0^3 - 961726/597293*c_1100_0^2 + 1117393/597293*c_1100_0 + 227268/597293, c_0011_12 + 293227/597293*c_1100_0^11 - 424264/597293*c_1100_0^10 - 608444/597293*c_1100_0^9 + 2162750/597293*c_1100_0^8 + 1010913/597293*c_1100_0^7 - 2141101/597293*c_1100_0^6 - 651681/597293*c_1100_0^5 + 1264939/597293*c_1100_0^4 + 4710596/597293*c_1100_0^3 - 1123996/597293*c_1100_0^2 + 1264373/597293*c_1100_0 + 571846/597293, c_0011_7 + 553716/597293*c_1100_0^11 - 1015518/597293*c_1100_0^10 - 821855/597293*c_1100_0^9 + 4440139/597293*c_1100_0^8 + 416951/597293*c_1100_0^7 - 4584907/597293*c_1100_0^6 + 15263/597293*c_1100_0^5 + 2406010/597293*c_1100_0^4 + 8542990/597293*c_1100_0^3 - 5346313/597293*c_1100_0^2 + 3366639/597293*c_1100_0 - 1068454/597293, c_0011_9 - 364664/597293*c_1100_0^11 + 480636/597293*c_1100_0^10 + 825983/597293*c_1100_0^9 - 2554317/597293*c_1100_0^8 - 1659402/597293*c_1100_0^7 + 2474779/597293*c_1100_0^6 + 1398876/597293*c_1100_0^5 - 1331473/597293*c_1100_0^4 - 6112187/597293*c_1100_0^3 + 961726/597293*c_1100_0^2 - 1117393/597293*c_1100_0 - 227268/597293, c_0101_0 - 594032/597293*c_1100_0^11 + 1242564/597293*c_1100_0^10 + 572923/597293*c_1100_0^9 - 4959347/597293*c_1100_0^8 + 873791/597293*c_1100_0^7 + 4859198/597293*c_1100_0^6 - 1556308/597293*c_1100_0^5 - 2475975/597293*c_1100_0^4 - 8009713/597293*c_1100_0^3 + 8183901/597293*c_1100_0^2 - 5947307/597293*c_1100_0 + 1791651/597293, c_0101_1 + 293227/597293*c_1100_0^11 - 424264/597293*c_1100_0^10 - 608444/597293*c_1100_0^9 + 2162750/597293*c_1100_0^8 + 1010913/597293*c_1100_0^7 - 2141101/597293*c_1100_0^6 - 651681/597293*c_1100_0^5 + 1264939/597293*c_1100_0^4 + 4710596/597293*c_1100_0^3 - 1123996/597293*c_1100_0^2 + 1264373/597293*c_1100_0 - 25447/597293, c_0101_10 + 293227/597293*c_1100_0^11 - 424264/597293*c_1100_0^10 - 608444/597293*c_1100_0^9 + 2162750/597293*c_1100_0^8 + 1010913/597293*c_1100_0^7 - 2141101/597293*c_1100_0^6 - 651681/597293*c_1100_0^5 + 1264939/597293*c_1100_0^4 + 4710596/597293*c_1100_0^3 - 1123996/597293*c_1100_0^2 + 1264373/597293*c_1100_0 + 571846/597293, c_0101_4 - 341317/597293*c_1100_0^11 + 665697/597293*c_1100_0^10 + 376580/597293*c_1100_0^9 - 2720088/597293*c_1100_0^8 + 229509/597293*c_1100_0^7 + 2441704/597293*c_1100_0^6 - 717200/597293*c_1100_0^5 - 970635/597293*c_1100_0^4 - 4538237/597293*c_1100_0^3 + 3749730/597293*c_1100_0^2 - 3329712/597293*c_1100_0 + 927771/597293, c_0101_8 + 341317/597293*c_1100_0^11 - 665697/597293*c_1100_0^10 - 376580/597293*c_1100_0^9 + 2720088/597293*c_1100_0^8 - 229509/597293*c_1100_0^7 - 2441704/597293*c_1100_0^6 + 717200/597293*c_1100_0^5 + 970635/597293*c_1100_0^4 + 4538237/597293*c_1100_0^3 - 3749730/597293*c_1100_0^2 + 3329712/597293*c_1100_0 - 927771/597293, c_1001_4 - 88602/597293*c_1100_0^11 + 88830/597293*c_1100_0^10 + 180237/597293*c_1100_0^9 - 480829/597293*c_1100_0^8 - 414773/597293*c_1100_0^7 + 24210/597293*c_1100_0^6 + 121908/597293*c_1100_0^5 + 534705/597293*c_1100_0^4 - 1066761/597293*c_1100_0^3 - 684441/597293*c_1100_0^2 - 1309410/597293*c_1100_0 + 63891/597293, c_1001_7 - 112711/597293*c_1100_0^11 + 67295/597293*c_1100_0^10 + 438618/597293*c_1100_0^9 - 711254/597293*c_1100_0^8 - 1305035/597293*c_1100_0^7 + 1024722/597293*c_1100_0^6 + 1274635/597293*c_1100_0^5 - 1008678/597293*c_1100_0^4 - 2345556/597293*c_1100_0^3 - 915800/597293*c_1100_0^2 + 594154/597293*c_1100_0 - 592160/597293, c_1100_0^12 - 2*c_1100_0^11 - c_1100_0^10 + 8*c_1100_0^9 - c_1100_0^8 - 7*c_1100_0^7 + 2*c_1100_0^6 + 3*c_1100_0^5 + 14*c_1100_0^4 - 12*c_1100_0^3 + 11*c_1100_0^2 - 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.360 Total time: 1.570 seconds, Total memory usage: 32.09MB