Magma V2.19-8 Mon Sep 9 2013 19:31:33 on localhost [Seed = 2966206593] Type ? for help. Type -D to quit. Loading file "10^3_31__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_31 geometric_solution 15.04564847 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 1 0 0 -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 1.000000000000 1.000000000000 0 5 7 6 0132 0132 0132 0132 1 0 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 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 0.411548718811 0.790943454207 3 0 5 4 1023 0132 0132 0213 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 0 0 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 8 2 4 0 0132 1023 2103 0132 1 0 0 2 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 -1 0 1 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 0.500000000000 0.500000000000 3 7 0 2 2103 0132 0132 0213 1 0 1 2 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 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 1.000000000000 1.000000000000 8 1 9 2 1023 0132 0132 0132 1 1 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 -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 0.482305144884 0.994942611202 8 10 1 11 2103 0132 0132 0132 1 0 1 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 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 0.242707453196 0.959731880493 8 4 9 1 3120 0132 0321 0132 1 0 2 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 -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 0 0 0 0 0 0 0.411548718811 0.790943454207 3 5 6 7 0132 1023 2103 3120 1 0 2 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 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 0.605485739623 0.813839646000 10 12 7 5 0321 0132 0321 0132 1 1 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 1 -1 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 0.506693467760 0.642142692014 9 6 13 12 0321 0132 0132 0132 1 0 0 1 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 -1 0 0 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148371139626 1.274996873329 13 14 6 12 0132 0132 0132 0213 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686889362363 0.551744530201 15 9 10 11 0132 0132 0132 0213 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 -1 1 0 1 0 -1 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 0.511184787380 0.481854744158 11 14 15 10 0132 0321 0321 0132 1 0 1 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 1 -1 0 0 0 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 1.435262916223 0.988766529552 15 11 15 13 3201 0132 0213 0321 1 0 1 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 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813260110562 0.623881657755 12 14 13 14 0132 0213 0321 2310 1 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 -1 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 0.813260110562 0.623881657755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_15' : d['c_1001_14'], 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 's_0_10' : d['1'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : d['c_1001_9'], 'c_1010_11' : d['c_1001_14'], 'c_1010_10' : d['c_1001_12'], 'c_1010_15' : negation(d['c_0011_11']), 'c_1010_14' : d['c_1001_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0101_13']), 'c_0101_14' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_12']), 'c_0011_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_7'], 'c_1100_15' : negation(d['c_0011_11']), 'c_1100_14' : negation(d['c_0011_11']), 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_1001_14'], 'c_1100_13' : d['c_1001_14'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_12'], 's_3_14' : d['1'], 's_3_1' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_14'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_13'], 'c_0110_10' : d['c_0011_12'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_13']), 'c_0110_15' : d['c_0011_12'], 'c_0110_14' : d['c_0011_11'], 'c_1010_4' : d['c_1001_7'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0011_4'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], '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_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0110_2, c_1001_1, c_1001_10, c_1001_12, c_1001_14, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 963815348498816/11046225214375*c_1001_9^11 + 4304147950014096/11046225214375*c_1001_9^10 - 2483107664268704/2209245042875*c_1001_9^9 + 27209541221315984/11046225214375*c_1001_9^8 - 45771826428568096/11046225214375*c_1001_9^7 + 4828595554419792/849709631875*c_1001_9^6 - 13803706815907816/2209245042875*c_1001_9^5 + 11927648723141984/2209245042875*c_1001_9^4 - 7919447118916344/2209245042875*c_1001_9^3 + 3442941039299909/2209245042875*c_1001_9^2 - 4186761290778876/11046225214375*c_1001_9 + 453167028275529/11046225214375, c_0011_0 - 1, c_0011_10 + c_1001_9, c_0011_11 - 133489632/104579647*c_1001_9^11 + 776412960/104579647*c_1001_9^10 - 2480428224/104579647*c_1001_9^9 + 5836132544/104579647*c_1001_9^8 - 10677760816/104579647*c_1001_9^7 + 15586314408/104579647*c_1001_9^6 - 18483355668/104579647*c_1001_9^5 + 17373926248/104579647*c_1001_9^4 - 12575883472/104579647*c_1001_9^3 + 6445808244/104579647*c_1001_9^2 - 1755602629/104579647*c_1001_9 + 114834072/104579647, c_0011_12 - 134670272/104579647*c_1001_9^11 + 662214768/104579647*c_1001_9^10 - 2008885664/104579647*c_1001_9^9 + 4564764144/104579647*c_1001_9^8 - 8045726688/104579647*c_1001_9^7 + 11464034716/104579647*c_1001_9^6 - 13213389384/104579647*c_1001_9^5 + 12104676876/104579647*c_1001_9^4 - 8514921428/104579647*c_1001_9^3 + 4187471859/104579647*c_1001_9^2 - 1145513232/104579647*c_1001_9 + 62355378/104579647, c_0011_4 + 776522496/104579647*c_1001_9^11 - 4096289312/104579647*c_1001_9^10 + 12581551328/104579647*c_1001_9^9 - 29079372848/104579647*c_1001_9^8 + 51986759632/104579647*c_1001_9^7 - 74858238192/104579647*c_1001_9^6 + 87532709792/104579647*c_1001_9^5 - 81180440772/104579647*c_1001_9^4 + 58411270004/104579647*c_1001_9^3 - 29717435330/104579647*c_1001_9^2 + 8686271938/104579647*c_1001_9 - 1183914426/104579647, c_0101_0 - 1, c_0101_1 + 776522496/104579647*c_1001_9^11 - 4096289312/104579647*c_1001_9^10 + 12581551328/104579647*c_1001_9^9 - 29079372848/104579647*c_1001_9^8 + 51986759632/104579647*c_1001_9^7 - 74858238192/104579647*c_1001_9^6 + 87532709792/104579647*c_1001_9^5 - 81180440772/104579647*c_1001_9^4 + 58411270004/104579647*c_1001_9^3 - 29717435330/104579647*c_1001_9^2 + 8686271938/104579647*c_1001_9 - 1079334779/104579647, c_0101_10 - 213676832/104579647*c_1001_9^11 + 1147390720/104579647*c_1001_9^10 - 3611321872/104579647*c_1001_9^9 + 8461279104/104579647*c_1001_9^8 - 15414019648/104579647*c_1001_9^7 + 22616898704/104579647*c_1001_9^6 - 26997795044/104579647*c_1001_9^5 + 25782632456/104579647*c_1001_9^4 - 19212333814/104579647*c_1001_9^3 + 10448897412/104579647*c_1001_9^2 - 3504894093/104579647*c_1001_9 + 577256226/104579647, c_0101_13 + 247042208/104579647*c_1001_9^11 - 1365428544/104579647*c_1001_9^10 + 4333899232/104579647*c_1001_9^9 - 10244727368/104579647*c_1001_9^8 + 18806338104/104579647*c_1001_9^7 - 27796384336/104579647*c_1001_9^6 + 33397640528/104579647*c_1001_9^5 - 32121137984/104579647*c_1001_9^4 + 24132121156/104579647*c_1001_9^3 - 13150546226/104579647*c_1001_9^2 + 4394309136/104579647*c_1001_9 - 628884033/104579647, c_0110_2 - 1, c_1001_1 - 776522496/104579647*c_1001_9^11 + 4096289312/104579647*c_1001_9^10 - 12581551328/104579647*c_1001_9^9 + 29079372848/104579647*c_1001_9^8 - 51986759632/104579647*c_1001_9^7 + 74858238192/104579647*c_1001_9^6 - 87532709792/104579647*c_1001_9^5 + 81180440772/104579647*c_1001_9^4 - 58411270004/104579647*c_1001_9^3 + 29717435330/104579647*c_1001_9^2 - 8686271938/104579647*c_1001_9 + 974755132/104579647, c_1001_10 - 427353664/104579647*c_1001_9^11 + 2294781440/104579647*c_1001_9^10 - 7222643744/104579647*c_1001_9^9 + 16922558208/104579647*c_1001_9^8 - 30828039296/104579647*c_1001_9^7 + 45233797408/104579647*c_1001_9^6 - 53995590088/104579647*c_1001_9^5 + 51565264912/104579647*c_1001_9^4 - 38424667628/104579647*c_1001_9^3 + 20688635530/104579647*c_1001_9^2 - 6800628892/104579647*c_1001_9 + 945353158/104579647, c_1001_12 + 213676832/104579647*c_1001_9^11 - 1147390720/104579647*c_1001_9^10 + 3611321872/104579647*c_1001_9^9 - 8461279104/104579647*c_1001_9^8 + 15414019648/104579647*c_1001_9^7 - 22616898704/104579647*c_1001_9^6 + 26997795044/104579647*c_1001_9^5 - 25782632456/104579647*c_1001_9^4 + 19212333814/104579647*c_1001_9^3 - 10448897412/104579647*c_1001_9^2 + 3504894093/104579647*c_1001_9 - 577256226/104579647, c_1001_14 + 405080480/104579647*c_1001_9^11 - 2250171424/104579647*c_1001_9^10 + 7172256704/104579647*c_1001_9^9 - 16960199008/104579647*c_1001_9^8 + 31197194040/104579647*c_1001_9^7 - 46107347688/104579647*c_1001_9^6 + 55477073328/104579647*c_1001_9^5 - 53329238040/104579647*c_1001_9^4 + 39925480922/104579647*c_1001_9^3 - 21658346128/104579647*c_1001_9^2 + 6940228329/104579647*c_1001_9 - 859641614/104579647, c_1001_7 - 1553044992/104579647*c_1001_9^11 + 8192578624/104579647*c_1001_9^10 - 25163102656/104579647*c_1001_9^9 + 58158745696/104579647*c_1001_9^8 - 103973519264/104579647*c_1001_9^7 + 149716476384/104579647*c_1001_9^6 - 175065419584/104579647*c_1001_9^5 + 162360881544/104579647*c_1001_9^4 - 116822540008/104579647*c_1001_9^3 + 59434870660/104579647*c_1001_9^2 - 17372543876/104579647*c_1001_9 + 2158669558/104579647, c_1001_9^12 - 6*c_1001_9^11 + 20*c_1001_9^10 - 49*c_1001_9^9 + 187/2*c_1001_9^8 - 287/2*c_1001_9^7 + 180*c_1001_9^6 - 365/2*c_1001_9^5 + 2345/16*c_1001_9^4 - 355/4*c_1001_9^3 + 36*c_1001_9^2 - 129/16*c_1001_9 + 25/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.750 seconds, Total memory usage: 32.09MB