Magma V2.22-2 Sun Aug 9 2020 22:20:46 on zickert [Seed = 2098210750] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/16_tetrahedra/10_99__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_99 geometric_solution 14.33434452 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 2 0132 0132 0132 0213 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 0 0 0 -1 1 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 1.223184169273 1.454761370331 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0.300283239879 0.275345117820 6 0 4 0 1230 0132 1230 0213 0 0 0 0 0 0 0 0 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 1 -1 -1 0 4 -3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223184169273 1.454761370331 5 7 7 0 0132 0132 0321 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 -1 0 1 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 0.338596741949 0.710987608182 8 1 8 2 0132 0132 3120 3012 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 0 0 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517118096021 0.875685483955 3 9 1 10 0132 0132 0132 0132 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 -3 3 0 0 0 0 0 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649023722000 1.505980671668 10 2 11 1 0321 3012 0132 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 3 0 -3 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872207891273 1.247499530374 11 3 3 9 0132 0132 0321 1302 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 0 0 1 0 -1 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 0.338596741949 0.710987608182 4 12 4 13 0132 0132 3120 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 0 0 0 0 -1 1 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517118096021 0.875685483955 12 5 7 13 2031 0132 2031 2031 0 0 0 0 0 1 -1 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 3 -3 0 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376438177555 0.538411145340 6 14 5 14 0321 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545990685374 1.146474739387 7 12 14 6 0132 2031 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241343675107 0.560008667819 11 8 9 15 1302 0132 1302 0132 0 0 0 0 0 0 0 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 0 1 -1 0 0 4 -4 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699716760121 0.275345117820 15 9 8 15 1230 1302 0132 0213 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 -1 0 -4 0 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338596741949 0.402700977238 10 10 15 11 3012 0132 1302 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298586464696 0.753997392275 14 13 12 13 2031 3012 0132 0213 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 -1 1 0 0 0 4 -4 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103033036626 0.671591009521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_1001_6' : d['c_0011_0'], 'c_0011_8' : - d['c_0011_0'], 'c_1010_11' : d['c_0011_0'], 'c_0011_12' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0110_0' : - d['c_0011_10'], 'c_0101_1' : - d['c_0011_10'], 'c_0110_2' : d['c_0011_10'], 'c_0110_6' : - d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_14' : - d['c_0011_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1010_0' : d['c_0101_8'], 'c_1001_2' : d['c_0101_8'], 'c_1100_2' : d['c_0101_8'], 'c_1100_4' : - d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_2' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_4' : - d['c_0101_2'], 'c_1010_6' : - d['c_0101_2'], 'c_1010_1' : d['c_0011_13'], 'c_1001_4' : d['c_0011_13'], 'c_1001_5' : d['c_0011_13'], 'c_1001_8' : - d['c_0011_13'], 'c_1010_9' : d['c_0011_13'], 'c_1010_12' : - d['c_0011_13'], 'c_0011_13' : d['c_0011_13'], 'c_1001_15' : - d['c_0011_13'], 'c_1100_1' : d['c_0110_14'], 'c_1100_6' : d['c_0110_14'], 'c_1100_5' : d['c_0110_14'], 'c_1100_10' : d['c_0110_14'], 'c_1100_11' : d['c_0110_14'], 'c_0110_14' : d['c_0110_14'], 'c_0011_3' : d['c_0011_11'], 'c_0011_5' : - d['c_0011_11'], 'c_0011_7' : - d['c_0011_11'], 'c_0011_9' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_12' : - d['c_0011_11'], 'c_0101_6' : - d['c_0101_10'], 'c_0101_3' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0101_7' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0110_11' : - d['c_0101_10'], 'c_1001_3' : d['c_0101_9'], 'c_1010_7' : d['c_0101_9'], 'c_1100_7' : d['c_0101_9'], 'c_1100_9' : - d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1100_12' : d['c_0101_9'], 'c_1010_13' : d['c_0101_9'], 'c_1100_15' : d['c_0101_9'], 'c_0101_4' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], 'c_1100_8' : - d['c_0101_13'], 'c_0101_13' : d['c_0101_13'], 'c_1100_13' : - d['c_0101_13'], 'c_1010_15' : - d['c_0101_13'], 'c_0110_7' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_5' : - d['c_0101_11'], 'c_1001_9' : - d['c_0101_11'], 'c_1001_10' : - d['c_0101_11'], 'c_1010_14' : - d['c_0101_11'], 'c_0110_9' : d['c_0110_9'], 'c_1010_8' : d['c_0110_9'], 'c_1001_12' : d['c_0110_9'], 'c_1001_13' : d['c_0110_9'], 'c_1010_10' : - d['c_0011_15'], 'c_1001_14' : - d['c_0011_15'], 'c_0101_14' : - d['c_0011_15'], 'c_0110_13' : d['c_0011_15'], 'c_0011_15' : d['c_0011_15'], 'c_0110_15' : - d['c_0011_15'], 'c_1001_11' : - d['c_0101_15'], 'c_0110_12' : d['c_0101_15'], 'c_1100_14' : d['c_0101_15'], 'c_0101_15' : d['c_0101_15'], 's_2_14' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_3_12' : d['1'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_3_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_0_7' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_1_5' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_1' : d['1'], 's_2_1' : d['1'], 's_1_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : d['1'], 's_1_0' : - d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 's_1_2' : - d['1'], 's_3_3' : d['1'], 's_3_2' : - d['1'], 's_1_4' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_1_6' : d['1'], 's_3_4' : d['1'], 's_0_5' : d['1'], 's_1_7' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_2_10' : d['1'], 's_0_10' : d['1'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_9' : d['1'], 's_1_12' : d['1'], 's_2_13' : d['1'], 's_2_12' : d['1'], 's_1_13' : d['1'], 's_1_14' : d['1'], 's_0_14' : d['1'], 's_0_12' : d['1'], 's_3_14' : d['1'], 's_2_15' : d['1'], 's_1_15' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 789.820 Status: Saturating ideal ( 1 / 16 )... Time: 2.400 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 4.620 Status: Recomputing Groebner basis... Time: 2.600 Status: Saturating ideal ( 3 / 16 )... Time: 1.650 Status: Recomputing Groebner basis... Time: 1.080 Status: Saturating ideal ( 4 / 16 )... Time: 0.940 Status: Recomputing Groebner basis... Time: 0.570 Status: Saturating ideal ( 5 / 16 )... Time: 0.770 Status: Recomputing Groebner basis... Time: 0.300 Status: Saturating ideal ( 6 / 16 )... Time: 0.260 Status: Recomputing Groebner basis... Time: 0.100 Status: Saturating ideal ( 7 / 16 )... Time: 0.110 Status: Recomputing Groebner basis... Time: 0.100 Status: Saturating ideal ( 8 / 16 )... Time: 0.090 Status: Recomputing Groebner basis... Time: 0.070 Status: Saturating ideal ( 9 / 16 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.060 Status: Saturating ideal ( 10 / 16 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 12 / 16 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.040 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.550 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.150 IDEAL=DECOMPOSITION=TIME: 807.030 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 5194314896/110112039*c_1001_0^11 - 26614268284/110112039*c_1001_0^10 + 55554331214/110112039*c_1001_0^9 - 10022235374/36704013*c_1001_0^8 - 201712616747/220224078*c_1001_0^7 + 74980299083/73408026*c_1001_0^6 + 289500976079/220224078*c_1001_0^5 - 20312272027/24469342*c_1001_0^4 - 235023460831/220224078*c_1001_0^3 + 24689595307/220224078*c_1001_0^2 + 25250257553/73408026*c_1001_0 + 1016094129/12234671, c_0011_11 - 54704704/110112039*c_1001_0^11 + 297862648/36704013*c_1001_0^10 - 1357424692/36704013*c_1001_0^9 + 8835881608/110112039*c_1001_0^8 - 7266565513/110112039*c_1001_0^7 - 8454330989/110112039*c_1001_0^6 + 15925075423/110112039*c_1001_0^5 + 8169878531/110112039*c_1001_0^4 - 13666587284/110112039*c_1001_0^3 - 5610101549/110112039*c_1001_0^2 + 4209983062/110112039*c_1001_0 + 599602267/36704013, c_0011_13 + 12631950364/110112039*c_1001_0^11 - 64851186050/110112039*c_1001_0^10 + 135815435200/110112039*c_1001_0^9 - 49875978653/73408026*c_1001_0^8 - 487470385819/220224078*c_1001_0^7 + 183502038827/73408026*c_1001_0^6 + 697000160623/220224078*c_1001_0^5 - 49801149559/24469342*c_1001_0^4 - 565474542227/220224078*c_1001_0^3 + 62046617267/220224078*c_1001_0^2 + 30390877973/36704013*c_1001_0 + 2438999839/12234671, c_0011_15 + 2020855760/36704013*c_1001_0^11 - 10305128056/36704013*c_1001_0^10 + 21352086032/36704013*c_1001_0^9 - 3709517854/12234671*c_1001_0^8 - 39589626454/36704013*c_1001_0^7 + 14253921378/12234671*c_1001_0^6 + 57701367388/36704013*c_1001_0^5 - 11477103872/12234671*c_1001_0^4 - 46948779719/36704013*c_1001_0^3 + 3854255612/36704013*c_1001_0^2 + 5047689839/12234671*c_1001_0 + 1288079472/12234671, c_0101_0 + 3166013008/36704013*c_1001_0^11 - 16232583488/36704013*c_1001_0^10 + 33923539228/36704013*c_1001_0^9 - 6167553798/12234671*c_1001_0^8 - 61203244085/36704013*c_1001_0^7 + 22808944975/12234671*c_1001_0^6 + 88088538839/36704013*c_1001_0^5 - 18497565357/12234671*c_1001_0^4 - 71784613408/36704013*c_1001_0^3 + 7159810414/36704013*c_1001_0^2 + 7751023734/12234671*c_1001_0 + 1921939737/12234671, c_0101_10 + 661924056/12234671*c_1001_0^11 - 30009867212/110112039*c_1001_0^10 + 60826020520/110112039*c_1001_0^9 - 27545498921/110112039*c_1001_0^8 - 40705466876/36704013*c_1001_0^7 + 244485422303/220224078*c_1001_0^6 + 120361303055/73408026*c_1001_0^5 - 195856786643/220224078*c_1001_0^4 - 98042980321/73408026*c_1001_0^3 + 17545997353/220224078*c_1001_0^2 + 94386471731/220224078*c_1001_0 + 8208666755/73408026, c_0101_11 - 10455427336/330336117*c_1001_0^11 + 54612309560/330336117*c_1001_0^10 - 117662203726/330336117*c_1001_0^9 + 24846423025/110112039*c_1001_0^8 + 379881091099/660672234*c_1001_0^7 - 79962142685/110112039*c_1001_0^6 - 262144821542/330336117*c_1001_0^5 + 7311608523/12234671*c_1001_0^4 + 212208310012/330336117*c_1001_0^3 - 33850506895/330336117*c_1001_0^2 - 22998494747/110112039*c_1001_0 - 3480339731/73408026, c_0101_13 + 8226630400/110112039*c_1001_0^11 - 42214151696/110112039*c_1001_0^10 + 88313996284/110112039*c_1001_0^9 - 16118676538/36704013*c_1001_0^8 - 159145793078/110112039*c_1001_0^7 + 119339531449/73408026*c_1001_0^6 + 455812768351/220224078*c_1001_0^5 - 32395292631/24469342*c_1001_0^4 - 370430446157/220224078*c_1001_0^3 + 39640988831/220224078*c_1001_0^2 + 39832220257/73408026*c_1001_0 + 3237640549/24469342, c_0101_15 + 3403059424/36704013*c_1001_0^11 - 17247594056/36704013*c_1001_0^10 + 35310737884/36704013*c_1001_0^9 - 5671450064/12234671*c_1001_0^8 - 68775871589/36704013*c_1001_0^7 + 23852605244/12234671*c_1001_0^6 + 100352680880/36704013*c_1001_0^5 - 19287619850/12234671*c_1001_0^4 - 81733936816/36704013*c_1001_0^3 + 6442758076/36704013*c_1001_0^2 + 8755403952/12234671*c_1001_0 + 2202128790/12234671, c_0101_2 + 36928513688/330336117*c_1001_0^11 - 188375590804/330336117*c_1001_0^10 + 390276688412/330336117*c_1001_0^9 - 67619673095/110112039*c_1001_0^8 - 725750597911/330336117*c_1001_0^7 + 523305906209/220224078*c_1001_0^6 + 2110741824203/660672234*c_1001_0^5 - 46992045241/24469342*c_1001_0^4 - 1722244606219/660672234*c_1001_0^3 + 147618208867/660672234*c_1001_0^2 + 185619482609/220224078*c_1001_0 + 15648487357/73408026, c_0101_8 - 13014600776/110112039*c_1001_0^11 + 66243096904/110112039*c_1001_0^10 - 136748248322/110112039*c_1001_0^9 + 23198703607/36704013*c_1001_0^8 + 515177320079/220224078*c_1001_0^7 - 61130316055/24469342*c_1001_0^6 - 750569825249/220224078*c_1001_0^5 + 147833242445/73408026*c_1001_0^4 + 611363291371/220224078*c_1001_0^3 - 50083319401/220224078*c_1001_0^2 - 65666885527/73408026*c_1001_0 - 2772338499/12234671, c_0101_9 - 1432602880/110112039*c_1001_0^11 + 7132580624/110112039*c_1001_0^10 - 14176183732/110112039*c_1001_0^9 + 624796826/12234671*c_1001_0^8 + 30043314218/110112039*c_1001_0^7 - 18514035655/73408026*c_1001_0^6 - 91732009183/220224078*c_1001_0^5 + 14571891419/73408026*c_1001_0^4 + 75133366817/220224078*c_1001_0^3 - 1798571333/220224078*c_1001_0^2 - 2673322177/24469342*c_1001_0 - 729829171/24469342, c_0110_14 + 1382421748/330336117*c_1001_0^11 - 7517364494/330336117*c_1001_0^10 + 17117336716/330336117*c_1001_0^9 - 8880564551/220224078*c_1001_0^8 - 45102906019/660672234*c_1001_0^7 + 24268873585/220224078*c_1001_0^6 + 55799035381/660672234*c_1001_0^5 - 7150745557/73408026*c_1001_0^4 - 45512807201/660672234*c_1001_0^3 + 16136498777/660672234*c_1001_0^2 + 2649938894/110112039*c_1001_0 + 141742714/36704013, c_0110_9 + 1244941216/12234671*c_1001_0^11 - 56648376772/110112039*c_1001_0^10 + 115478759930/110112039*c_1001_0^9 - 54157798402/110112039*c_1001_0^8 - 152073325913/73408026*c_1001_0^7 + 233624675774/110112039*c_1001_0^6 + 111471356681/36704013*c_1001_0^5 - 188330401559/110112039*c_1001_0^4 - 90931935367/36704013*c_1001_0^3 + 19359614320/110112039*c_1001_0^2 + 87707138765/110112039*c_1001_0 + 14933266867/73408026, c_1001_0^12 - 9/2*c_1001_0^11 + 15/2*c_1001_0^10 + 7/8*c_1001_0^9 - 23*c_1001_0^8 + 19/2*c_1001_0^7 + 331/8*c_1001_0^6 - 1/8*c_1001_0^5 - 269/8*c_1001_0^4 - 95/8*c_1001_0^3 + 35/4*c_1001_0^2 + 51/8*c_1001_0 + 9/8 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 4267/117272*c_1001_0^7 - 15283/117272*c_1001_0^6 + 77421/117272*c_1001_0^5 + 56449/58636*c_1001_0^4 + 27427/117272*c_1001_0^3 + 15937/29318*c_1001_0^2 - 12241/29318*c_1001_0 - 9764/14659, c_0011_11 + 2427/58636*c_1001_0^7 - 2655/14659*c_1001_0^6 + 22425/29318*c_1001_0^5 + 51287/58636*c_1001_0^4 - 144663/58636*c_1001_0^3 - 126117/58636*c_1001_0^2 + 4505/14659*c_1001_0 + 14954/14659, c_0011_13 + 8251/117272*c_1001_0^7 - 24997/117272*c_1001_0^6 + 126147/117272*c_1001_0^5 + 39535/14659*c_1001_0^4 + 95387/117272*c_1001_0^3 - 107063/58636*c_1001_0^2 - 18450/14659*c_1001_0 - 1078/14659, c_0011_15 - 18001/117272*c_1001_0^7 + 57115/117272*c_1001_0^6 - 273961/117272*c_1001_0^5 - 85851/14659*c_1001_0^4 + 75099/117272*c_1001_0^3 + 361711/58636*c_1001_0^2 + 40709/29318*c_1001_0 - 34794/14659, c_0101_0 + 41841/234544*c_1001_0^7 - 135377/234544*c_1001_0^6 + 657727/234544*c_1001_0^5 + 751459/117272*c_1001_0^4 - 7295/234544*c_1001_0^3 - 372103/58636*c_1001_0^2 - 173549/58636*c_1001_0 + 63163/29318, c_0101_10 - 4897/117272*c_1001_0^7 + 6443/117272*c_1001_0^6 - 43401/117272*c_1001_0^5 - 42014/14659*c_1001_0^4 - 286317/117272*c_1001_0^3 + 136267/58636*c_1001_0^2 + 61155/29318*c_1001_0 - 6401/14659, c_0101_11 - 3983/117272*c_1001_0^7 + 14149/117272*c_1001_0^6 - 63439/117272*c_1001_0^5 - 16903/14659*c_1001_0^4 + 99517/117272*c_1001_0^3 + 131201/58636*c_1001_0^2 + 5641/29318*c_1001_0 - 8544/14659, c_0101_13 - 4895/117272*c_1001_0^7 + 15313/117272*c_1001_0^6 - 72827/117272*c_1001_0^5 - 49949/29318*c_1001_0^4 + 48637/117272*c_1001_0^3 + 62159/58636*c_1001_0^2 - 6199/29318*c_1001_0 - 6117/14659, c_0101_15 - 10665/234544*c_1001_0^7 + 19977/234544*c_1001_0^6 - 113063/234544*c_1001_0^5 - 319787/117272*c_1001_0^4 - 382825/234544*c_1001_0^3 + 163043/58636*c_1001_0^2 + 136977/58636*c_1001_0 - 4553/29318, c_0101_2 + 4897/117272*c_1001_0^7 - 6443/117272*c_1001_0^6 + 43401/117272*c_1001_0^5 + 42014/14659*c_1001_0^4 + 286317/117272*c_1001_0^3 - 136267/58636*c_1001_0^2 - 61155/29318*c_1001_0 + 6401/14659, c_0101_8 + 4267/117272*c_1001_0^7 - 15283/117272*c_1001_0^6 + 77421/117272*c_1001_0^5 + 56449/58636*c_1001_0^4 + 27427/117272*c_1001_0^3 + 15937/29318*c_1001_0^2 - 12241/29318*c_1001_0 - 9764/14659, c_0101_9 + 4895/117272*c_1001_0^7 - 15313/117272*c_1001_0^6 + 72827/117272*c_1001_0^5 + 49949/29318*c_1001_0^4 - 48637/117272*c_1001_0^3 - 62159/58636*c_1001_0^2 + 6199/29318*c_1001_0 + 6117/14659, c_0110_14 - 22267/117272*c_1001_0^7 + 76833/117272*c_1001_0^6 - 366095/117272*c_1001_0^5 - 182887/29318*c_1001_0^4 + 215149/117272*c_1001_0^3 + 263465/58636*c_1001_0^2 + 16966/14659*c_1001_0 - 24888/14659, c_0110_9 - 3983/117272*c_1001_0^7 + 14149/117272*c_1001_0^6 - 63439/117272*c_1001_0^5 - 16903/14659*c_1001_0^4 + 99517/117272*c_1001_0^3 + 131201/58636*c_1001_0^2 + 5641/29318*c_1001_0 - 8544/14659, c_1001_0^8 - 4*c_1001_0^7 + 18*c_1001_0^6 + 25*c_1001_0^5 - 33*c_1001_0^4 - 31*c_1001_0^3 + 16*c_1001_0^2 + 20*c_1001_0 - 8 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [], [] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 807.039 seconds, Total memory usage: 2184.81MB