Magma V2.22-2 Sun Aug 9 2020 22:20:14 on zickert [Seed = 1327749022] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n57237__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57237 degenerate_solution 8.99735216 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3120 0132 2 0 2 2 0 0 0 0 -3 0 2 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 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 0.499999993492 1.322875652006 0 4 0 4 0132 0132 3120 2103 2 0 2 2 0 0 0 0 3 0 -2 -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 -1 0 1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999993492 1.322875652006 5 0 7 6 0132 0132 0132 0132 2 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000089 0.330718914693 4 5 0 4 2103 3120 0132 3120 2 0 2 2 0 -1 0 1 1 0 -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 -4 1 3 0 0 0 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 0.749999997699 0.661437824814 3 1 3 1 3120 0132 2103 2103 2 0 2 2 0 0 0 0 0 0 -1 1 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 0 1 0 0 0 0 0 -1 0 1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000007356 1.322875656916 2 3 7 6 0132 3120 2310 3201 2 1 2 2 0 -1 0 1 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 -4 0 4 -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 0.375000000089 0.330718914693 8 5 2 9 0132 2310 0132 0132 2 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7748999.356617794372 163420623.654089987278 9 5 8 2 1302 3201 2031 0132 2 1 2 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 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 -0.000000000066 0.000000004322 6 9 10 7 0132 1302 0132 1302 1 1 2 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 -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 1.199999999267 0.399999999676 11 7 6 8 0132 2031 0132 2031 2 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 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 1.199999999267 0.399999999676 11 12 12 8 3120 0132 1302 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000001332 0.499999999713 9 12 12 10 0132 1302 1023 3120 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 0 0 0 0 0 0 0 0 0 1 0 -1 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 1.000000001332 0.499999999713 10 10 11 11 2031 0132 1023 2031 1 1 1 1 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 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200000000456 0.399999999010 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_3' : - d['c_0011_0'], '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_0011_5' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_1' : - d['c_0101_0'], 'c_1100_4' : - d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_1100_0' : - d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_1100_3' : - d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0011_3' : d['c_0011_3'], 'c_1010_1' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_0' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1001_1' : - d['c_0011_3'], 'c_1010_4' : - d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1010_5' : - d['c_0011_3'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_3' : d['c_1001_2'], 'c_1010_7' : d['c_1001_2'], 'c_1001_5' : - d['c_1001_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_1010_6' : - d['c_0101_2'], 'c_1001_9' : - d['c_0101_2'], 'c_0110_2' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_1001_7' : - d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_1100_2' : - d['c_1010_8'], 'c_1100_7' : - d['c_1010_8'], 'c_1100_6' : - d['c_1010_8'], 'c_1100_9' : - d['c_1010_8'], 'c_1010_8' : d['c_1010_8'], 'c_1100_5' : - d['c_0011_6'], 'c_0011_7' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0011_8' : - d['c_0011_6'], 'c_1010_9' : - d['c_0011_6'], 'c_0110_6' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_9' : d['c_0101_8'], 'c_0110_10' : d['c_0101_8'], 'c_0110_11' : d['c_0101_8'], 'c_1001_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_12' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_0110_12' : d['c_0011_11'], 'c_1001_8' : d['c_0101_11'], 'c_0110_9' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_11' : - d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 's_2_11' : d['1'], 's_1_11' : - d['1'], 's_2_10' : d['1'], 's_1_10' : - d['1'], 's_0_10' : d['1'], 's_0_9' : - d['1'], 's_2_8' : - d['1'], 's_1_8' : d['1'], 's_2_7' : d['1'], 's_0_7' : d['1'], 's_3_6' : - d['1'], 's_0_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_3_2' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_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_2_1' : d['1'], 's_2_3' : d['1'], 's_1_4' : d['1'], 's_3_4' : d['1'], 's_0_5' : d['1'], 's_3_7' : d['1'], 's_2_6' : d['1'], 's_2_4' : d['1'], 's_1_5' : d['1'], 's_0_4' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_0_8' : - d['1'], 's_2_9' : - d['1'], 's_1_9' : d['1'], 's_3_8' : d['1'], 's_3_9' : d['1'], 's_3_10' : - d['1'], 's_0_11' : - d['1'], 's_3_11' : d['1'], 's_1_12' : - d['1'], 's_0_12' : d['1'], 's_3_12' : - d['1'], 's_2_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.090 Status: Saturating ideal ( 1 / 13 )... Time: 0.090 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.140 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.030 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_1001_2, c_1010_8 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_1010_8^4 + 3*c_1010_8^3 + 7092/961*c_0011_11*c_0101_11 + 2412/961*c_0101_11^2 + 380/31*c_0011_11*c_0101_5 + 4066/961*c_0011_10*c_0101_8 - 455/961*c_0011_11*c_0101_8 + 183/961*c_0101_11*c_0101_8 + 200/31*c_0101_5*c_0101_8 + 397/961*c_0101_8^2 + 5623/186*c_0101_8*c_1001_2 - 31/6*c_1001_2^2 - 241/31*c_0011_10*c_1010_8 - 13/31*c_0011_11*c_1010_8 - 2/31*c_0011_6*c_1010_8 + 227/6*c_0101_1*c_1010_8 - 20/31*c_0101_11*c_1010_8 - 14/3*c_0101_5*c_1010_8 - 102/31*c_0101_8*c_1010_8 + 155/6*c_1001_2*c_1010_8 + 35/6*c_1010_8^2 + 95/31*c_0011_10 + 1068/31*c_0011_11 - 172/3*c_0011_6 - 253/6*c_0101_1 - 715/31*c_0101_11 + 1432/93*c_0101_5 + 13/3*c_0101_8 - 623/6*c_1001_2 - 21*c_1010_8 + 163/6, c_0011_11*c_0101_11^2 + 2*c_0011_11*c_0101_11*c_0101_8 + 2*c_0101_11^2*c_0101_8 + 21/8*c_0011_10*c_0101_8^2 - 1/8*c_0011_11*c_0101_8^2 + 3/16*c_0101_11*c_0101_8^2 - 11/16*c_0101_8^3, c_0101_11^3 - 35/4*c_0011_11*c_0101_11*c_0101_8 - 27/4*c_0101_11^2*c_0101_8 - 69/8*c_0011_10*c_0101_8^2 - 13/8*c_0011_11*c_0101_8^2 - 11/16*c_0101_11*c_0101_8^2 + 23/16*c_0101_8^3, c_0011_11*c_0101_5*c_0101_8 - 3*c_0011_11*c_0101_11*c_1010_8 - 2*c_0101_11^2*c_1010_8 - 3*c_0011_10*c_0101_8*c_1010_8 - 2*c_0011_11*c_0101_11 - c_0101_11^2 - c_0011_10*c_0101_8, c_0101_5*c_0101_8^2 + 8*c_0011_11*c_0101_11*c_1010_8 + 4*c_0101_11^2*c_1010_8 + 5*c_0011_10*c_0101_8*c_1010_8 - 2*c_0011_11*c_0101_8*c_1010_8 + c_0011_11*c_0101_8, c_0101_8^2*c_1001_2 + 116/31*c_0011_11*c_0101_11 + 64/31*c_0101_11^2 + 81/31*c_0011_10*c_0101_8 + 7/31*c_0011_11*c_0101_8 - 30/31*c_0101_11*c_0101_8 + 2/31*c_0101_8^2, c_0101_8*c_1001_2^2 + 72/31*c_0101_8*c_1001_2 + 117/31*c_0011_6*c_1010_8 + 40/31*c_0011_10 + 28/31*c_0011_11 - 60/31*c_0101_11 - 117/31*c_0101_5 + 25/31*c_0101_8, c_1001_2^3 - 30/31*c_1010_8^3 - 360/961*c_0011_11*c_0101_5 + 300/961*c_0101_5*c_0101_8 + 43709/9610*c_0101_8*c_1001_2 + 681/310*c_1001_2^2 + 150/961*c_0011_10*c_1010_8 - 810/961*c_0011_11*c_1010_8 + 7840/961*c_0011_6*c_1010_8 - 295/62*c_0101_1*c_1010_8 + 900/961*c_0101_11*c_1010_8 - 511/155*c_0101_5*c_1010_8 - 60/961*c_0101_8*c_1010_8 + 61/10*c_1001_2*c_1010_8 + 361/310*c_1010_8^2 + 1150/961*c_0011_10 - 2180/961*c_0011_11 + 2479/155*c_0011_6 + 209/10*c_0101_1 - 6110/961*c_0101_11 - 33372/4805*c_0101_5 - 111/155*c_0101_8 + 12209/310*c_1001_2 + 21/5*c_1010_8 - 3843/310, c_0011_11*c_0101_5*c_1010_8 - 2*c_0011_11*c_0101_5 + c_0011_11*c_0101_8 + 1/4*c_0101_5*c_0101_8 - 9/4*c_0101_8*c_1001_2 + 1/4*c_0011_10*c_1010_8 - 3/2*c_0011_11*c_1010_8 - 1/3*c_0011_6*c_1010_8 + c_0101_8*c_1010_8 - 1/12*c_0011_10 - 1/3*c_0011_11 + 13/6*c_0101_11 + 1/3*c_0101_5 - 1/6*c_0101_8, c_0101_5*c_0101_8*c_1010_8 + 4*c_0011_11*c_0101_5 + c_0101_8^2 + 2*c_0101_8*c_1001_2 - 3*c_0011_10*c_1010_8 - 2*c_0011_11*c_1010_8 - 2*c_0011_6*c_1010_8 - 2*c_0101_11*c_1010_8 - 2*c_0101_8*c_1010_8 + c_0011_10 + 2*c_0011_11 - 2*c_0101_11 + 2*c_0101_5, c_0101_8*c_1001_2*c_1010_8 + 12/31*c_0011_11*c_0101_5 - 10/31*c_0101_5*c_0101_8 + 3/31*c_0101_8*c_1001_2 - 5/31*c_0011_10*c_1010_8 + 27/31*c_0011_11*c_1010_8 - 3/31*c_0011_6*c_1010_8 - 30/31*c_0101_11*c_1010_8 + 2/31*c_0101_8*c_1010_8 + 3/31*c_0011_10 - 10/31*c_0011_11 - 3/31*c_0101_11 + 3/31*c_0101_5, c_1001_2^2*c_1010_8 - 1/31*c_1010_8^3 - 12/961*c_0011_11*c_0101_5 + 10/961*c_0101_5*c_0101_8 + 1319/14415*c_0101_8*c_1001_2 + 1/15*c_1001_2^2 + 5/961*c_0011_10*c_1010_8 - 27/961*c_0011_11*c_1010_8 + 784/2883*c_0011_6*c_1010_8 - 64/93*c_0101_1*c_1010_8 + 30/961*c_0101_11*c_1010_8 + 343/465*c_0101_5*c_1010_8 - 2/961*c_0101_8*c_1010_8 - 854/465*c_1001_2*c_1010_8 + 46/465*c_1010_8^2 + 115/2883*c_0011_10 - 218/2883*c_0011_11 + 503/465*c_0011_6 - 191/465*c_0101_1 - 611/2883*c_0101_11 - 26674/14415*c_0101_5 + 383/465*c_0101_8 + 344/465*c_1001_2 - 106/155*c_1010_8 + 287/465, c_0011_10*c_1010_8^2 + 200/31*c_0011_11*c_0101_11 + 136/31*c_0101_11^2 - 4*c_0011_11*c_0101_5 + 176/31*c_0011_10*c_0101_8 + 42/31*c_0011_11*c_0101_8 + 6/31*c_0101_11*c_0101_8 - 19/31*c_0101_8^2 - c_0101_8*c_1001_2 + c_0011_10*c_1010_8 - c_0011_11*c_1010_8 + c_0011_6*c_1010_8 + 2*c_0101_8*c_1010_8 + c_0101_11 - c_0101_5, c_0011_11*c_1010_8^2 - 132/31*c_0011_11*c_0101_11 - 60/31*c_0101_11^2 - 74/31*c_0011_10*c_0101_8 + 7/31*c_0011_11*c_0101_8 + 1/31*c_0101_11*c_0101_8 - c_0101_5*c_0101_8 + 2/31*c_0101_8^2 - c_0101_11*c_1010_8, c_0011_6*c_1010_8^2 + 12/31*c_0011_11*c_0101_5 + 21/31*c_0101_5*c_0101_8 + 3/31*c_0101_8*c_1001_2 - 5/31*c_0011_10*c_1010_8 - 35/31*c_0011_11*c_1010_8 - 3/31*c_0011_6*c_1010_8 + 1/31*c_0101_11*c_1010_8 - c_0101_5*c_1010_8 + 2/31*c_0101_8*c_1010_8 + 3/31*c_0011_10 + 21/31*c_0011_11 - 3/31*c_0101_11 + 3/31*c_0101_5, c_0101_1*c_1010_8^2 - c_1010_8^3 - 12/31*c_0011_11*c_0101_5 + 10/31*c_0101_5*c_0101_8 + 854/465*c_0101_8*c_1001_2 + 31/15*c_1001_2^2 + 5/31*c_0011_10*c_1010_8 - 27/31*c_0011_11*c_1010_8 + 96/31*c_0011_6*c_1010_8 - 10/3*c_0101_1*c_1010_8 + 30/31*c_0101_11*c_1010_8 - 17/15*c_0101_5*c_1010_8 - 2/31*c_0101_8*c_1010_8 + 31/15*c_1001_2*c_1010_8 + 1/15*c_1010_8^2 - 3/31*c_0011_10 - 114/31*c_0011_11 + 143/15*c_0011_6 + 184/15*c_0101_1 - 121/31*c_0101_11 - 1874/465*c_0101_5 - 2/15*c_0101_8 + 344/15*c_1001_2 + 4/5*c_1010_8 - 118/15, c_0101_11*c_1010_8^2 + 92/31*c_0011_11*c_0101_11 + 8/31*c_0101_11^2 + 4*c_0011_11*c_0101_5 + 45/31*c_0011_10*c_0101_8 - 3/31*c_0011_11*c_0101_8 + 4/31*c_0101_11*c_0101_8 + 3*c_0101_5*c_0101_8 + 8/31*c_0101_8^2 + c_0101_8*c_1001_2 - 3*c_0011_10*c_1010_8 - c_0011_11*c_1010_8 - c_0011_6*c_1010_8 + c_0101_11*c_1010_8 - c_0101_8*c_1010_8 + c_0011_10 + 3*c_0011_11 + c_0101_5, c_0101_5*c_1010_8^2 + 2*c_1010_8^3 + 24/31*c_0011_11*c_0101_5 - 20/31*c_0101_5*c_0101_8 - 2723/186*c_0101_8*c_1001_2 - 31/6*c_1001_2^2 - 10/31*c_0011_10*c_1010_8 + 54/31*c_0011_11*c_1010_8 - 564/31*c_0011_6*c_1010_8 - 67/6*c_0101_1*c_1010_8 - 60/31*c_0101_11*c_1010_8 + 22/3*c_0101_5*c_1010_8 + 35/31*c_0101_8*c_1010_8 - 217/6*c_1001_2*c_1010_8 - 31/6*c_1010_8^2 + 6/31*c_0011_10 + 104/31*c_0011_11 - 34/3*c_0011_6 - 169/6*c_0101_1 + 614/31*c_0101_11 + 607/93*c_0101_5 + 1/3*c_0101_8 - 251/6*c_1001_2 + 9*c_1010_8 + 109/6, c_0101_8*c_1010_8^2 + 116/31*c_0011_11*c_0101_11 + 64/31*c_0101_11^2 - 4*c_0011_11*c_0101_5 + 81/31*c_0011_10*c_0101_8 + 7/31*c_0011_11*c_0101_8 - 30/31*c_0101_11*c_0101_8 + c_0101_5*c_0101_8 + 2/31*c_0101_8^2 - c_0101_8*c_1001_2 - c_0011_10*c_1010_8 - 3*c_0011_11*c_1010_8 + c_0011_6*c_1010_8 + c_0101_11*c_1010_8 + c_0101_8*c_1010_8 - c_0011_10 + c_0011_11 + c_0101_11 - c_0101_5 + c_0101_8, c_1001_2*c_1010_8^2 + c_1010_8^3 + 12/31*c_0011_11*c_0101_5 - 10/31*c_0101_5*c_0101_8 - 1169/465*c_0101_8*c_1001_2 - 31/15*c_1001_2^2 - 5/31*c_0011_10*c_1010_8 + 27/31*c_0011_11*c_1010_8 - 433/93*c_0011_6*c_1010_8 + 4/3*c_0101_1*c_1010_8 - 30/31*c_0101_11*c_1010_8 + 32/15*c_0101_5*c_1010_8 + 2/31*c_0101_8*c_1010_8 - 91/15*c_1001_2*c_1010_8 - 16/15*c_1010_8^2 + 5/93*c_0011_10 + 302/93*c_0011_11 - 128/15*c_0011_6 - 184/15*c_0101_1 + 431/93*c_0101_11 + 1669/465*c_0101_5 + 127/465*c_0101_8 - 329/15*c_1001_2 + 1/5*c_1010_8 + 118/15, c_0011_10^2 + c_0011_11*c_0101_11 + c_0101_11^2 + c_0011_10*c_0101_8, c_0011_10*c_0011_11 - 3*c_0011_11*c_0101_11 - 2*c_0101_11^2 - 5/2*c_0011_10*c_0101_8 - 1/2*c_0011_11*c_0101_8 - 1/4*c_0101_11*c_0101_8 + 1/4*c_0101_8^2, c_0011_11^2 + 2*c_0011_11*c_0101_11 + c_0101_11^2 + c_0011_10*c_0101_8, c_0011_10*c_0011_6 - c_0011_11*c_0101_5 + 3/2*c_0101_8*c_1001_2 + 1/2*c_0011_10*c_1010_8 - 1/2*c_0011_11*c_1010_8 + 13/12*c_0011_6*c_1010_8 - 1/4*c_0101_11*c_1010_8 + 1/4*c_0101_8*c_1010_8 - 1/6*c_0011_10 - 11/12*c_0011_11 - 5/3*c_0101_11 - 13/12*c_0101_5 + 5/12*c_0101_8, c_0011_11*c_0011_6 - 1/4*c_0101_5*c_0101_8 + 5/4*c_0101_8*c_1001_2 - 1/4*c_0011_10*c_1010_8 + 1/2*c_0011_11*c_1010_8 + 4/3*c_0011_6*c_1010_8 + 1/12*c_0011_10 + 1/3*c_0011_11 - 7/6*c_0101_11 - 4/3*c_0101_5 + 1/6*c_0101_8, c_0011_6^2 - 17/24*c_0101_8*c_1001_2 - 31/24*c_1001_2^2 - 7/24*c_0101_1*c_1010_8 + 1/3*c_0101_5*c_1010_8 - 31/24*c_1001_2*c_1010_8 - 7/24*c_1010_8^2 + 2/3*c_0011_6 - 73/24*c_0101_1 + c_0101_11 - 2/3*c_0101_5 + 1/3*c_0101_8 - 65/24*c_1001_2 - 3/4*c_1010_8 + 49/24, c_0011_10*c_0101_1 + 7*c_0101_8*c_1001_2 + 10/3*c_0011_6*c_1010_8 - 2/3*c_0011_10 + 4/3*c_0011_11 - 20/3*c_0101_11 - 10/3*c_0101_5 + 5/3*c_0101_8, c_0011_11*c_0101_1 - c_0101_8*c_1001_2 + c_0011_6*c_1010_8 - c_0011_11 + c_0101_11 - c_0101_5, c_0011_6*c_0101_1 + 1/30*c_0101_8*c_1001_2 - 31/30*c_1001_2^2 - 5/6*c_0101_1*c_1010_8 + 1/15*c_0101_5*c_1010_8 - 31/30*c_1001_2*c_1010_8 - 1/30*c_1010_8^2 + 26/15*c_0011_6 + 41/30*c_0101_1 - 23/15*c_0101_5 + 1/15*c_0101_8 + 121/30*c_1001_2 + 3/5*c_1010_8 - 17/30, c_0101_1^2 + 1/30*c_0101_8*c_1001_2 - 31/30*c_1001_2^2 - 5/6*c_0101_1*c_1010_8 + 1/15*c_0101_5*c_1010_8 - 31/30*c_1001_2*c_1010_8 - 1/30*c_1010_8^2 + 11/15*c_0011_6 + 41/30*c_0101_1 - 8/15*c_0101_5 + 1/15*c_0101_8 + 121/30*c_1001_2 + 3/5*c_1010_8 - 17/30, c_0011_10*c_0101_11 + 3*c_0011_11*c_0101_11 + 2*c_0101_11^2 + 5/2*c_0011_10*c_0101_8 + 3/2*c_0011_11*c_0101_8 + 1/4*c_0101_11*c_0101_8 - 1/4*c_0101_8^2, c_0011_6*c_0101_11 + c_0011_11*c_0101_5 + 1/2*c_0101_5*c_0101_8 - 5/2*c_0101_8*c_1001_2 - 1/2*c_0011_10*c_1010_8 - c_0011_11*c_1010_8 - 8/3*c_0011_6*c_1010_8 - 7/6*c_0011_10 - 2/3*c_0011_11 + 7/3*c_0101_11 + 8/3*c_0101_5 - 1/3*c_0101_8, c_0101_1*c_0101_11 - 5*c_0101_8*c_1001_2 - 16/3*c_0011_6*c_1010_8 - 4/3*c_0011_10 - 7/3*c_0011_11 + 11/3*c_0101_11 + 16/3*c_0101_5 - 5/3*c_0101_8, c_0011_10*c_0101_5 + c_0011_11*c_0101_5 - 3/2*c_0101_8*c_1001_2 - 1/2*c_0011_10*c_1010_8 - 3/2*c_0011_11*c_1010_8 - 13/12*c_0011_6*c_1010_8 - 3/4*c_0101_11*c_1010_8 - 1/4*c_0101_8*c_1010_8 + 1/6*c_0011_10 - 1/12*c_0011_11 + 5/3*c_0101_11 + 13/12*c_0101_5 - 5/12*c_0101_8, c_0011_6*c_0101_5 + 31/120*c_0101_8*c_1001_2 - 31/120*c_1001_2^2 + 13/24*c_0101_1*c_1010_8 + 4/15*c_0101_5*c_1010_8 - 31/120*c_1001_2*c_1010_8 - 31/120*c_1010_8^2 + c_0011_11 - 46/15*c_0011_6 - 409/120*c_0101_1 + 13/15*c_0101_5 + 4/15*c_0101_8 - 809/120*c_1001_2 - 27/20*c_1010_8 + 313/120, c_0101_1*c_0101_5 + c_0011_6 - c_0101_1 - c_0101_5 - c_1010_8 + 1, c_0101_11*c_0101_5 - 1/4*c_0101_5*c_0101_8 + 5/4*c_0101_8*c_1001_2 - 1/4*c_0011_10*c_1010_8 + 1/2*c_0011_11*c_1010_8 + 4/3*c_0011_6*c_1010_8 + c_0101_8*c_1010_8 + 1/12*c_0011_10 + 1/3*c_0011_11 - 7/6*c_0101_11 - 4/3*c_0101_5 + 1/6*c_0101_8, c_0101_5^2 + 151/120*c_0101_8*c_1001_2 - 31/120*c_1001_2^2 - c_0011_6*c_1010_8 + 37/24*c_0101_1*c_1010_8 + 4/15*c_0101_5*c_1010_8 - 31/120*c_1001_2*c_1010_8 - 31/120*c_1010_8^2 + 2*c_0011_11 - 61/15*c_0011_6 - 289/120*c_0101_1 - c_0101_11 + 13/15*c_0101_5 + 4/15*c_0101_8 - 809/120*c_1001_2 - 7/20*c_1010_8 + 193/120, c_0011_6*c_0101_8 - c_0011_11*c_1010_8 + c_0101_11, c_0101_1*c_0101_8 + c_0101_8*c_1001_2 - c_0011_6*c_1010_8 + c_0101_5 - c_0101_8, c_0011_10*c_1001_2 - 4*c_0101_8*c_1001_2 - 2*c_0011_6*c_1010_8 + 4*c_0101_11 + 2*c_0101_5 - c_0101_8, c_0011_11*c_1001_2 - c_0011_6*c_1010_8 + c_0101_5, c_0011_6*c_1001_2 - 1/30*c_0101_8*c_1001_2 + 31/30*c_1001_2^2 - 1/6*c_0101_1*c_1010_8 - 1/15*c_0101_5*c_1010_8 + 1/30*c_1001_2*c_1010_8 + 1/30*c_1010_8^2 - 11/15*c_0011_6 + 19/30*c_0101_1 + 8/15*c_0101_5 - 1/15*c_0101_8 - 1/30*c_1001_2 + 2/5*c_1010_8 - 13/30, c_0101_1*c_1001_2 - 1/30*c_0101_8*c_1001_2 + 31/30*c_1001_2^2 + 5/6*c_0101_1*c_1010_8 - 1/15*c_0101_5*c_1010_8 + 31/30*c_1001_2*c_1010_8 + 1/30*c_1010_8^2 - 11/15*c_0011_6 - 41/30*c_0101_1 + 8/15*c_0101_5 - 1/15*c_0101_8 - 91/30*c_1001_2 - 3/5*c_1010_8 + 17/30, c_0101_11*c_1001_2 + 3*c_0101_8*c_1001_2 + 10/3*c_0011_6*c_1010_8 + 4/3*c_0011_10 + 4/3*c_0011_11 - 8/3*c_0101_11 - 10/3*c_0101_5 + 2/3*c_0101_8, c_0101_5*c_1001_2 + c_0101_1 + c_1001_2 + c_1010_8 - 1, c_0011_0 - 1, c_0011_3 + c_0101_1 + c_1001_2 - 1, c_0101_0 - 1, c_0101_2 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_8" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.170 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 51630753523113481/78435439059562496*c_1010_8^11 + 185281643960091697/196088597648906240*c_1010_8^10 + 3257364825186950023/392177195297812480*c_1010_8^9 + 56589484361358393/49022149412226560*c_1010_8^8 + 903000804313185839/19608859764890624*c_1010_8^7 + 1168485166380746801/49022149412226560*c_1010_8^6 + 6293926718323611201/392177195297812480*c_1010_8^5 + 1584410518500942047/78435439059562496*c_1010_8^4 + 2626287815384017577/392177195297812480*c_1010_8^3 - 392414761616226031/98044298824453120*c_1010_8^2 + 119016684602530999/39217719529781248*c_1010_8 - 297781269527030209/392177195297812480, c_0011_11 + 15768867050179171/392177195297812480*c_1010_8^11 - 3848677179395173/196088597648906240*c_1010_8^10 + 29414349544724701/78435439059562496*c_1010_8^9 - 45215664879059271/49022149412226560*c_1010_8^8 + 238566040527510073/98044298824453120*c_1010_8^7 - 186236444409164259/49022149412226560*c_1010_8^6 - 1258564527033615297/392177195297812480*c_1010_8^5 - 116198326649737187/392177195297812480*c_1010_8^4 - 131572430657629877/78435439059562496*c_1010_8^3 - 19139671520537223/98044298824453120*c_1010_8^2 + 171133937574324097/196088597648906240*c_1010_8 + 78402230567327433/392177195297812480, c_0011_3 - 25838704335012651/98044298824453120*c_1010_8^11 - 11698255514435513/49022149412226560*c_1010_8^10 - 308664997348487309/98044298824453120*c_1010_8^9 + 7412438190599541/6127768676528320*c_1010_8^8 - 454778874898168563/24511074706113280*c_1010_8^7 - 197632447514507/382985542283020*c_1010_8^6 - 285963292874715231/98044298824453120*c_1010_8^5 - 935165244707072873/98044298824453120*c_1010_8^4 + 9196307844423129/98044298824453120*c_1010_8^3 + 12483752245599383/12255537353056640*c_1010_8^2 - 157976214809050387/49022149412226560*c_1010_8 + 41253811512695299/98044298824453120, c_0011_6 + 327951406597024449/392177195297812480*c_1010_8^11 + 196628281085612223/196088597648906240*c_1010_8^10 + 802431621619537875/78435439059562496*c_1010_8^9 - 6220132833053493/6127768676528320*c_1010_8^8 + 5668766693199964437/98044298824453120*c_1010_8^7 + 423482543321676597/24511074706113280*c_1010_8^6 + 4400625921043558637/392177195297812480*c_1010_8^5 + 9462158648937942227/392177195297812480*c_1010_8^4 + 506581747606212129/78435439059562496*c_1010_8^3 - 122339330864790323/24511074706113280*c_1010_8^2 + 1140081800939653893/196088597648906240*c_1010_8 - 78697925420737793/392177195297812480, c_0101_0 - 1, c_0101_1 + 22607939289048939/19608859764890624*c_1010_8^11 + 64128343514302629/49022149412226560*c_1010_8^10 + 1376499785846559921/98044298824453120*c_1010_8^9 - 13649959025938747/6127768676528320*c_1010_8^8 + 392812900094017195/4902214941222656*c_1010_8^7 + 59083554344254913/3063884338264160*c_1010_8^6 + 1484522025628225467/98044298824453120*c_1010_8^5 + 718834309549165017/19608859764890624*c_1010_8^4 + 585294217775104099/98044298824453120*c_1010_8^3 - 68121356481262781/12255537353056640*c_1010_8^2 + 94733719725476203/9804429882445312*c_1010_8 - 175153432594177663/98044298824453120, c_0101_11 - 175708814002996983/196088597648906240*c_1010_8^11 - 54617154805212977/49022149412226560*c_1010_8^10 - 2159219027944605487/196088597648906240*c_1010_8^9 + 29921981695150617/49022149412226560*c_1010_8^8 - 1517049814485698207/24511074706113280*c_1010_8^7 - 1034996792785605669/49022149412226560*c_1010_8^6 - 2487823705770222303/196088597648906240*c_1010_8^5 - 5056449689198489219/196088597648906240*c_1010_8^4 - 1256155428079439903/196088597648906240*c_1010_8^3 + 539571509666082941/98044298824453120*c_1010_8^2 - 268289500008878473/49022149412226560*c_1010_8 + 34516567969184957/196088597648906240, c_0101_2 - 1, c_0101_5 - 38049661765850607/392177195297812480*c_1010_8^11 - 24291024039287177/196088597648906240*c_1010_8^10 - 479629028803706177/392177195297812480*c_1010_8^9 + 15255986422497/2451107470611328*c_1010_8^8 - 685876440810558051/98044298824453120*c_1010_8^7 - 56965262596598793/24511074706113280*c_1010_8^6 - 244804509354222791/78435439059562496*c_1010_8^5 - 1059645153946961741/392177195297812480*c_1010_8^4 + 99959765284004437/392177195297812480*c_1010_8^3 - 816687212508031/1225553735305664*c_1010_8^2 - 94694090993737139/196088597648906240*c_1010_8 - 7197445792059661/78435439059562496, c_0101_8 - 1, c_1001_2 - 21800248027558011/24511074706113280*c_1010_8^11 - 13107521999966779/12255537353056640*c_1010_8^10 - 266958697124518153/24511074706113280*c_1010_8^9 + 3118760417669603/3063884338264160*c_1010_8^8 - 377321406392979353/6127768676528320*c_1010_8^7 - 57502494764138857/3063884338264160*c_1010_8^6 - 299639683188377559/24511074706113280*c_1010_8^5 - 664751575759688053/24511074706113280*c_1010_8^4 - 148622631404881807/24511074706113280*c_1010_8^3 + 27818802117831699/6127768676528320*c_1010_8^2 - 78923095954582657/12255537353056640*c_1010_8 + 8963830564257311/24511074706113280, c_1010_8^12 + c_1010_8^11 + 375/31*c_1010_8^10 - 109/31*c_1010_8^9 + 2188/31*c_1010_8^8 + 212/31*c_1010_8^7 + 483/31*c_1010_8^6 + 902/31*c_1010_8^5 - 14/31*c_1010_8^4 - 191/31*c_1010_8^3 + 278/31*c_1010_8^2 - 109/31*c_1010_8 + 19/31 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 3.180 seconds, Total memory usage: 32.09MB