Magma V2.19-8 Wed Aug 21 2013 00:58:51 on localhost [Seed = 2463402476] Type ? for help. Type -D to quit. Loading file "L13n5993__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5993 geometric_solution 12.34945083 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 0 0 0 0 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 1 -1 0 0 0 0 1 0 0 -1 -6 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985490102518 0.601628826875 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 6 0 0 -6 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166904107570 0.744207169759 4 0 8 8 1302 0132 3201 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 0.625742469318 0.551727165711 9 9 7 0 0132 1302 1023 0132 0 0 0 1 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 1 -1 0 0 0 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659399845352 0.703702593430 10 2 0 11 0132 2031 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 -1 1 0 -1 0 0 1 -6 0 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394120544614 0.782491686035 9 1 12 12 1230 0132 0132 3120 0 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 0 0 0 0 0 0 0 0 -1 0 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370258418912 0.664778923118 9 11 1 8 2103 2103 0132 2031 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 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985490102518 0.601628826875 10 10 3 1 3120 1230 1023 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 0 6 0 -6 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370258418912 0.664778923118 2 6 2 11 2310 1302 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100888537777 0.792760988799 3 5 6 3 0132 3012 2103 2031 0 0 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 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557259357925 1.151334930517 4 12 7 7 0132 1230 3012 3120 1 0 0 0 0 0 -1 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 -1 5 -4 1 0 0 -1 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370258418912 0.664778923118 12 6 4 8 1302 2103 0132 0213 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 1 0 -1 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618633732287 0.798963800327 5 11 10 5 3120 2031 3012 0132 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 0 0 0 0 0 -1 0 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 0.751028585302 0.792814051290 ==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' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0110_6'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : negation(d['c_1010_8']), 'c_1100_6' : negation(d['c_1010_8']), 'c_1100_1' : negation(d['c_1010_8']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : negation(d['c_0011_8']), '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), '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_0011_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], '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_12, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_6, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/50*c_0101_8*c_0110_6 - 27/50*c_0101_8 + 29/50*c_0110_6 + 14/25, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_0101_8*c_0110_6 + c_0101_8 + c_0110_6, c_0011_12 + c_0101_8*c_0110_6 - c_0101_8, c_0011_3 - 1, c_0011_7 + c_0110_6, c_0011_8 + c_0101_8, c_0101_0 - c_0110_6 - 1, c_0101_1 - c_0101_8*c_0110_6 + c_0101_8 + c_0110_6, c_0101_3 - 1, c_0101_8^2 - c_0101_8 - c_0110_6, c_0110_6^2 + 1, c_1010_8 - 1 ], 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_6, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 109546277823/18503245838*c_1010_8^11 + 1012586972767/74012983352*c_1010_8^10 + 8469878405911/296051933408*c_1010_8^9 + 7478941364163/148025966704*c_1010_8^8 + 9790623452121/148025966704*c_1010_8^7 + 822414307801/13456906064*c_1010_8^6 + 27250923652619/296051933408*c_1010_8^5 + 8623277038251/148025966704*c_1010_8^4 + 3195643781951/74012983352*c_1010_8^3 + 2159755933249/74012983352*c_1010_8^2 + 6125920068929/296051933408*c_1010_8 + 42580717583/74012983352, c_0011_0 - 1, c_0011_10 + 1736/3707*c_1010_8^11 + 247274/196471*c_1010_8^10 + 1143277/392942*c_1010_8^9 + 956612/196471*c_1010_8^8 + 2573689/392942*c_1010_8^7 + 4658641/785884*c_1010_8^6 + 5480979/785884*c_1010_8^5 + 2854945/785884*c_1010_8^4 + 2989271/785884*c_1010_8^3 - 394949/785884*c_1010_8^2 + 66119/785884*c_1010_8 - 211812/196471, c_0011_11 + 9440/17861*c_1010_8^11 + 31092/17861*c_1010_8^10 + 77373/17861*c_1010_8^9 + 589975/71444*c_1010_8^8 + 450171/35722*c_1010_8^7 + 1067317/71444*c_1010_8^6 + 1267273/71444*c_1010_8^5 + 1137083/71444*c_1010_8^4 + 1018171/71444*c_1010_8^3 + 156417/17861*c_1010_8^2 + 385639/71444*c_1010_8 + 48756/17861, c_0011_12 - 128/3707*c_1010_8^11 - 167298/196471*c_1010_8^10 - 774021/392942*c_1010_8^9 - 6143133/1571768*c_1010_8^8 - 10119987/1571768*c_1010_8^7 - 6230979/785884*c_1010_8^6 - 10582179/1571768*c_1010_8^5 - 7814619/785884*c_1010_8^4 - 9066559/1571768*c_1010_8^3 - 5973321/1571768*c_1010_8^2 - 425303/196471*c_1010_8 - 315433/196471, c_0011_3 - 1, c_0011_7 + 288/583*c_1010_8^11 + 174714/196471*c_1010_8^10 + 928185/392942*c_1010_8^9 + 6836317/1571768*c_1010_8^8 + 9687537/1571768*c_1010_8^7 + 1377377/196471*c_1010_8^6 + 17297827/1571768*c_1010_8^5 + 2346647/392942*c_1010_8^4 + 13333203/1571768*c_1010_8^3 + 7791375/1571768*c_1010_8^2 + 2540817/785884*c_1010_8 + 220883/196471, c_0011_8 + 13938/196471*c_1010_8^11 + 338665/392942*c_1010_8^10 + 3201729/1571768*c_1010_8^9 + 67613/14828*c_1010_8^8 + 12323143/1571768*c_1010_8^7 + 16154511/1571768*c_1010_8^6 + 17247933/1571768*c_1010_8^5 + 21478355/1571768*c_1010_8^4 + 1625813/196471*c_1010_8^3 + 12484937/1571768*c_1010_8^2 + 2598689/785884*c_1010_8 + 319320/196471, c_0101_0 - 2832/3707*c_1010_8^11 - 466184/196471*c_1010_8^10 - 1019094/196471*c_1010_8^9 - 7465961/785884*c_1010_8^8 - 10519337/785884*c_1010_8^7 - 10880369/785884*c_1010_8^6 - 6455699/392942*c_1010_8^5 - 11143037/785884*c_1010_8^4 - 1865349/196471*c_1010_8^3 - 2376207/392942*c_1010_8^2 - 2209663/785884*c_1010_8 - 182634/196471, c_0101_1 + 9852/17861*c_1010_8^11 + 29583/17861*c_1010_8^10 + 240695/71444*c_1010_8^9 + 211811/35722*c_1010_8^8 + 566997/71444*c_1010_8^7 + 523873/71444*c_1010_8^6 + 636763/71444*c_1010_8^5 + 541451/71444*c_1010_8^4 + 69097/17861*c_1010_8^3 + 123035/71444*c_1010_8^2 + 27516/17861*c_1010_8 + 8421/17861, c_0101_3 - 1172/3707*c_1010_8^11 - 3797/3707*c_1010_8^10 - 37277/14828*c_1010_8^9 - 34751/7414*c_1010_8^8 - 26516/3707*c_1010_8^7 - 124957/14828*c_1010_8^6 - 75783/7414*c_1010_8^5 - 138129/14828*c_1010_8^4 - 127901/14828*c_1010_8^3 - 65723/14828*c_1010_8^2 - 23181/7414*c_1010_8 - 4714/3707, c_0101_8 - 13410/196471*c_1010_8^11 - 44965/392942*c_1010_8^10 - 4569/29656*c_1010_8^9 + 133865/1571768*c_1010_8^8 + 132889/392942*c_1010_8^7 + 1443509/1571768*c_1010_8^6 + 327869/392942*c_1010_8^5 + 777505/1571768*c_1010_8^4 - 309787/1571768*c_1010_8^3 + 315778/196471*c_1010_8^2 - 465913/392942*c_1010_8 + 27653/196471, c_0110_6 - 1660/3707*c_1010_8^11 - 264943/196471*c_1010_8^10 - 2100695/785884*c_1010_8^9 - 3782355/785884*c_1010_8^8 - 4897945/785884*c_1010_8^7 - 1064412/196471*c_1010_8^6 - 1219600/196471*c_1010_8^5 - 955550/196471*c_1010_8^4 - 682643/785884*c_1010_8^3 - 1269095/785884*c_1010_8^2 + 247523/785884*c_1010_8 + 67208/196471, c_1010_8^12 + 9/4*c_1010_8^11 + 81/16*c_1010_8^10 + 37/4*c_1010_8^9 + 101/8*c_1010_8^8 + 53/4*c_1010_8^7 + 315/16*c_1010_8^6 + 53/4*c_1010_8^5 + 101/8*c_1010_8^4 + 37/4*c_1010_8^3 + 81/16*c_1010_8^2 + 9/4*c_1010_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.680 seconds, Total memory usage: 32.09MB