Magma V2.19-8 Tue Aug 20 2013 23:47:51 on localhost [Seed = 442265713] Type ? for help. Type -D to quit. Loading file "L11n232__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n232 geometric_solution 11.10636203 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 0 0 1 -3 2 -1 0 1 0 -4 3 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045954824901 0.920380985232 0 5 2 6 0132 0132 1023 0132 1 0 0 1 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 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 -0.007721595352 0.920601955040 7 0 1 8 0132 0132 1023 0132 0 1 0 1 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 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133841412116 1.113625804141 8 9 10 0 0321 0132 0132 0132 0 0 0 1 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 1 0 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.054114603391 1.083804629693 11 5 0 8 0132 1230 0132 2031 0 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 0 0 0 0 0 3 -2 -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 0.045954824901 0.920380985232 7 1 4 11 1023 0132 3012 2103 1 0 1 0 0 0 0 0 -1 0 1 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 3 0 -3 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540910235067 0.494147413532 7 11 1 10 2310 2103 0132 3120 1 0 1 0 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 -1 0 1 0 0 0 0 0 4 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144534278483 0.807126164693 2 5 6 9 0132 1023 3201 0213 0 1 1 0 0 1 -1 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 -3 3 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785028890390 1.200468214466 3 4 2 10 0321 1302 0132 1302 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 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 0.512017218244 0.606538027711 10 3 11 7 1230 0132 1023 0213 0 1 1 0 0 0 0 0 -1 0 0 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 0 0 0 3 0 0 -3 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335930678616 1.132255399888 6 9 8 3 3120 3012 2031 0132 0 0 1 1 0 1 0 -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 -3 0 3 0 0 0 0 4 -3 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630961727821 0.561700562890 4 6 9 5 0132 2103 1023 2103 1 0 1 0 0 1 0 -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 -4 0 4 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133841412116 1.113625804141 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : 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_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0110_5'], 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_1010_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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'], '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' : 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_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 120281937/5232056*c_1010_8^8 - 2630541469/41856448*c_1010_8^7 + 69869571/10464112*c_1010_8^6 + 262942159/20928224*c_1010_8^5 + 8143264019/41856448*c_1010_8^4 - 1412749183/10464112*c_1010_8^3 - 5272198581/41856448*c_1010_8^2 - 2775412045/20928224*c_1010_8 + 546952823/2616028, c_0011_0 - 1, c_0011_10 + 755879/1308014*c_1010_8^8 - 12958059/10464112*c_1010_8^7 - 3444043/5232056*c_1010_8^6 - 1170865/5232056*c_1010_8^5 + 50756649/10464112*c_1010_8^4 - 3071915/5232056*c_1010_8^3 - 26834183/10464112*c_1010_8^2 - 5492141/1308014*c_1010_8 + 2253975/654007, c_0011_11 + 1, c_0011_3 + 34989/1308014*c_1010_8^8 - 3334489/10464112*c_1010_8^7 + 1428571/5232056*c_1010_8^6 + 2697653/5232056*c_1010_8^5 + 769107/10464112*c_1010_8^4 - 2444493/5232056*c_1010_8^3 - 7762317/10464112*c_1010_8^2 + 123970/654007*c_1010_8 - 230003/654007, c_0011_6 - 501325/1308014*c_1010_8^8 + 9703577/10464112*c_1010_8^7 - 266549/5232056*c_1010_8^6 - 463129/5232056*c_1010_8^5 - 22826603/10464112*c_1010_8^4 + 6392235/5232056*c_1010_8^3 + 11938293/10464112*c_1010_8^2 + 2702819/2616028*c_1010_8 - 1197576/654007, c_0011_8 + 1, c_0101_1 + 663690/654007*c_1010_8^8 - 7627617/2616028*c_1010_8^7 + 369798/654007*c_1010_8^6 + 1049259/1308014*c_1010_8^5 + 22984079/2616028*c_1010_8^4 - 4451222/654007*c_1010_8^3 - 14375361/2616028*c_1010_8^2 - 8103361/1308014*c_1010_8 + 6309064/654007, c_0101_10 + 2083259/1308014*c_1010_8^8 - 43468527/10464112*c_1010_8^7 - 485659/5232056*c_1010_8^6 + 3026171/5232056*c_1010_8^5 + 142692965/10464112*c_1010_8^4 - 38681691/5232056*c_1010_8^3 - 84335627/10464112*c_1010_8^2 - 6797751/654007*c_1010_8 + 8563039/654007, c_0101_11 - 913576/654007*c_1010_8^8 + 2483305/654007*c_1010_8^7 - 153875/654007*c_1010_8^6 - 609283/654007*c_1010_8^5 - 7724209/654007*c_1010_8^4 + 4955513/654007*c_1010_8^3 + 5505762/654007*c_1010_8^2 + 5367273/654007*c_1010_8 - 7669299/654007, c_0101_3 - 501325/1308014*c_1010_8^8 + 9703577/10464112*c_1010_8^7 - 266549/5232056*c_1010_8^6 - 463129/5232056*c_1010_8^5 - 22826603/10464112*c_1010_8^4 + 6392235/5232056*c_1010_8^3 + 11938293/10464112*c_1010_8^2 + 2702819/2616028*c_1010_8 - 1197576/654007, c_0110_5 - 2083259/1308014*c_1010_8^8 + 43468527/10464112*c_1010_8^7 + 485659/5232056*c_1010_8^6 - 3026171/5232056*c_1010_8^5 - 142692965/10464112*c_1010_8^4 + 38681691/5232056*c_1010_8^3 + 84335627/10464112*c_1010_8^2 + 6797751/654007*c_1010_8 - 8563039/654007, c_1010_8^9 - 29/8*c_1010_8^8 + 11/4*c_1010_8^7 + 1/4*c_1010_8^6 + 63/8*c_1010_8^5 - 53/4*c_1010_8^4 - 1/8*c_1010_8^3 - c_1010_8^2 + 14*c_1010_8 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB