Magma V2.19-8 Wed Aug 21 2013 01:00:46 on localhost [Seed = 3035803552] Type ? for help. Type -D to quit. Loading file "L13n9831__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9831 geometric_solution 12.20222078 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 -1 1 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476248879858 0.516490828289 0 3 6 5 0132 1023 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209118301358 1.468855613786 7 0 9 8 0132 0132 0132 0132 1 2 0 2 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 1 -1 0 0 0 0 0 3 -4 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105802017592 1.358524030284 1 7 6 0 1023 0132 1302 0132 1 1 0 2 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393002047289 0.982654901532 7 10 0 11 3012 0132 0132 0132 1 1 2 2 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 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406669011395 0.455983596305 9 9 1 10 1023 0213 0132 1023 1 1 2 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860618015697 0.856540485051 3 11 12 1 2031 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447604635036 0.500280873129 2 3 8 4 0132 0132 0213 1230 1 2 2 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 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324268428215 0.580868821206 9 7 2 10 0213 0213 0132 1230 1 2 2 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 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324268428215 0.580868821206 8 5 5 2 0213 1023 0213 0132 1 2 2 0 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 -1 1 1 0 -1 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 0.185080376148 1.137369624577 8 4 11 5 3012 0132 2103 1023 1 1 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731292858225 0.978917079264 10 6 4 12 2103 0132 0132 3012 1 1 1 2 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 1 -3 2 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994551478848 0.900722768088 12 12 11 6 1302 2031 1230 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386872300891 0.930917804651 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : 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_0110_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0110_10'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], 's_1_7' : 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' : 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_5'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], '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' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], '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' : d['c_0011_10'], '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_0011_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_12, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_11, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 48552061729/4083660504*c_1001_0^10 - 416072655/41249096*c_1001_0^9 - 406518003923/5444880672*c_1001_0^8 + 177585702193/2722440336*c_1001_0^7 + 91732397753/510457563*c_1001_0^6 - 419108200639/2722440336*c_1001_0^5 - 386189478771/1814960224*c_1001_0^4 + 466402755089/2722440336*c_1001_0^3 + 2568132756589/16334642016*c_1001_0^2 - 1561949550893/16334642016*c_1001_0 - 1247724814979/16334642016, c_0011_0 - 1, c_0011_10 + 206068/784113*c_1001_0^10 - 92/23761*c_1001_0^9 - 450643/261371*c_1001_0^8 + 15500/261371*c_1001_0^7 + 3746467/784113*c_1001_0^6 - 87441/261371*c_1001_0^5 - 1811958/261371*c_1001_0^4 + 116327/261371*c_1001_0^3 + 4816393/784113*c_1001_0^2 + 558895/784113*c_1001_0 - 2752988/784113, c_0011_11 - 176664/261371*c_1001_0^10 + 36620/23761*c_1001_0^9 + 714482/261371*c_1001_0^8 - 2368947/261371*c_1001_0^7 - 247552/261371*c_1001_0^6 + 4975967/261371*c_1001_0^5 - 2364966/261371*c_1001_0^4 - 4428057/261371*c_1001_0^3 + 3592988/261371*c_1001_0^2 + 1677534/261371*c_1001_0 - 1961092/261371, c_0011_12 + 144068/261371*c_1001_0^10 - 40720/23761*c_1001_0^9 - 146077/261371*c_1001_0^8 + 2098937/261371*c_1001_0^7 - 1874486/261371*c_1001_0^6 - 2621585/261371*c_1001_0^5 + 4613903/261371*c_1001_0^4 - 70929/261371*c_1001_0^3 - 2821564/261371*c_1001_0^2 + 470104/261371*c_1001_0 + 804323/261371, c_0011_5 + 409100/784113*c_1001_0^10 - 8184/23761*c_1001_0^9 - 860289/261371*c_1001_0^8 + 664963/261371*c_1001_0^7 + 6022751/784113*c_1001_0^6 - 1657407/261371*c_1001_0^5 - 2304972/261371*c_1001_0^4 + 1897394/261371*c_1001_0^3 + 5401493/784113*c_1001_0^2 - 3474226/784113*c_1001_0 - 2381140/784113, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1, c_0101_6 - 49492/261371*c_1001_0^10 + 19364/23761*c_1001_0^9 + 116481/261371*c_1001_0^8 - 1254092/261371*c_1001_0^7 + 412285/261371*c_1001_0^6 + 2762460/261371*c_1001_0^5 - 1799349/261371*c_1001_0^4 - 2842166/261371*c_1001_0^3 + 2474070/261371*c_1001_0^2 + 1342768/261371*c_1001_0 - 1630517/261371, c_0110_10 - 205056/261371*c_1001_0^10 + 8276/23761*c_1001_0^9 + 1310932/261371*c_1001_0^8 - 680463/261371*c_1001_0^7 - 3256406/261371*c_1001_0^6 + 1744848/261371*c_1001_0^5 + 4116930/261371*c_1001_0^4 - 2013721/261371*c_1001_0^3 - 3405962/261371*c_1001_0^2 + 971777/261371*c_1001_0 + 1711376/261371, c_0110_11 + 176664/261371*c_1001_0^10 - 36620/23761*c_1001_0^9 - 714482/261371*c_1001_0^8 + 2368947/261371*c_1001_0^7 + 247552/261371*c_1001_0^6 - 4975967/261371*c_1001_0^5 + 2364966/261371*c_1001_0^4 + 4428057/261371*c_1001_0^3 - 3592988/261371*c_1001_0^2 - 1677534/261371*c_1001_0 + 2222463/261371, c_0110_5 - 49492/261371*c_1001_0^10 + 19364/23761*c_1001_0^9 + 116481/261371*c_1001_0^8 - 1254092/261371*c_1001_0^7 + 412285/261371*c_1001_0^6 + 2762460/261371*c_1001_0^5 - 1799349/261371*c_1001_0^4 - 2842166/261371*c_1001_0^3 + 2474070/261371*c_1001_0^2 + 1604139/261371*c_1001_0 - 1630517/261371, c_1001_0^11 - 2*c_1001_0^10 - 21/4*c_1001_0^9 + 51/4*c_1001_0^8 + 17/2*c_1001_0^7 - 61/2*c_1001_0^6 - 9/4*c_1001_0^5 + 141/4*c_1001_0^4 - 17/4*c_1001_0^3 - 47/2*c_1001_0^2 + 7/2*c_1001_0 + 31/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB