Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 2067457555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3147 geometric_solution 6.30383319 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0 0 0 0.650093045727 1.135068022905 0 5 2 3 0132 0132 1302 2031 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 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 0.620050906165 0.663394370357 1 0 2 2 2031 0132 1230 3012 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.385913193556 1.010874063361 6 1 6 0 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496317507504 0.492238941297 5 6 0 5 0213 2310 0132 1302 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 -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 0 0 0 0.103563419894 1.271425345528 4 1 4 6 0213 0132 2031 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370409825834 0.525356116929 3 5 3 4 0132 0321 1023 3201 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 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 0.393025927128 0.386334562157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 13122341922808689/1590508261984*c_0110_2^14 + 30614980224903001/1590508261984*c_0110_2^13 + 1458531391304493/99406766374*c_0110_2^12 + 108388989994674973/1590508261984*c_0110_2^11 - 33823656027039229/1590508261984*c_0110_2^10 + 32455818553731987/1590508261984*c_0110_2^9 - 26816620967026311/397627065496*c_0110_2^8 - 145141280707403039/1590508261984*c_0110_2^7 - 118404658713808505/1590508261984*c_0110_2^6 - 65681174880773655/795254130992*c_0110_2^5 + 91765864071881307/1590508261984*c_0110_2^4 - 118109773161286345/1590508261984*c_0110_2^3 - 39414864529832967/1590508261984*c_0110_2^2 - 13141284805929537/1590508261984*c_0110_2 + 13109732970060989/1590508261984, c_0011_0 - 1, c_0011_3 + 32628138633741/397627065496*c_0110_2^14 - 76112582802587/397627065496*c_0110_2^13 - 7248818836079/49703383187*c_0110_2^12 - 269637161614873/397627065496*c_0110_2^11 + 83858855049047/397627065496*c_0110_2^10 - 81195210687231/397627065496*c_0110_2^9 + 133321770714451/198813532748*c_0110_2^8 + 360962086746893/397627065496*c_0110_2^7 + 294935039362877/397627065496*c_0110_2^6 + 40961043457470/49703383187*c_0110_2^5 - 227560436174689/397627065496*c_0110_2^4 + 294456120518509/397627065496*c_0110_2^3 + 97625211499229/397627065496*c_0110_2^2 + 33075468644437/397627065496*c_0110_2 - 32269106225487/397627065496, c_0011_4 - 32628138633741/397627065496*c_0110_2^14 + 76112582802587/397627065496*c_0110_2^13 + 7248818836079/49703383187*c_0110_2^12 + 269637161614873/397627065496*c_0110_2^11 - 83858855049047/397627065496*c_0110_2^10 + 81195210687231/397627065496*c_0110_2^9 - 133321770714451/198813532748*c_0110_2^8 - 360962086746893/397627065496*c_0110_2^7 - 294935039362877/397627065496*c_0110_2^6 - 40961043457470/49703383187*c_0110_2^5 + 227560436174689/397627065496*c_0110_2^4 - 294456120518509/397627065496*c_0110_2^3 - 97625211499229/397627065496*c_0110_2^2 - 33075468644437/397627065496*c_0110_2 + 32269106225487/397627065496, c_0101_0 + 12847529856039/198813532748*c_0110_2^14 - 29874272605033/198813532748*c_0110_2^13 - 5770786952661/49703383187*c_0110_2^12 - 106295909397623/198813532748*c_0110_2^11 + 32326644842553/198813532748*c_0110_2^10 - 31513384458649/198813532748*c_0110_2^9 + 52402689485557/99406766374*c_0110_2^8 + 142845159185303/198813532748*c_0110_2^7 + 117074026221367/198813532748*c_0110_2^6 + 32336073897743/49703383187*c_0110_2^5 - 88921190891267/198813532748*c_0110_2^4 + 114835287454347/198813532748*c_0110_2^3 + 39565175852803/198813532748*c_0110_2^2 + 13122759788667/198813532748*c_0110_2 - 12740659056673/198813532748, c_0101_2 - 96418437/1607048*c_0110_2^14 + 224879851/1607048*c_0110_2^13 + 21417524/200881*c_0110_2^12 + 797205369/1607048*c_0110_2^11 - 247488855/1607048*c_0110_2^10 + 240678791/1607048*c_0110_2^9 - 394214699/803524*c_0110_2^8 - 1066392725/1607048*c_0110_2^7 - 873436877/1607048*c_0110_2^6 - 121255518/200881*c_0110_2^5 + 670987137/1607048*c_0110_2^4 - 870259789/1607048*c_0110_2^3 - 288487885/1607048*c_0110_2^2 - 98197477/1607048*c_0110_2 + 95802343/1607048, c_0101_3 + 3538034671029/397627065496*c_0110_2^14 - 8297039275267/397627065496*c_0110_2^13 - 767008435909/49703383187*c_0110_2^12 - 29298498612417/397627065496*c_0110_2^11 + 9435830701319/397627065496*c_0110_2^10 - 9335045162255/397627065496*c_0110_2^9 + 14639440308763/198813532748*c_0110_2^8 + 38447881351533/397627065496*c_0110_2^7 + 31959670987317/397627065496*c_0110_2^6 + 4438603011916/49703383187*c_0110_2^5 - 24642516517273/397627065496*c_0110_2^4 + 32822604748349/397627065496*c_0110_2^3 + 10121363861749/397627065496*c_0110_2^2 + 3998385782789/397627065496*c_0110_2 - 3306668356535/397627065496, c_0110_2^15 - 8/3*c_0110_2^14 - c_0110_2^13 - 23/3*c_0110_2^12 + 16/3*c_0110_2^11 - 10/3*c_0110_2^10 + 9*c_0110_2^9 + 25/3*c_0110_2^8 + 16/3*c_0110_2^7 + 7*c_0110_2^6 - 31/3*c_0110_2^5 + 34/3*c_0110_2^4 - 4/3*c_0110_2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB