Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 4300140] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3132 geometric_solution 6.29410402 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 0 1 -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 0.772853974018 0.450693072793 3 0 5 4 0132 0132 0132 0132 0 0 0 0 0 1 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 -1 1 0 0 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 0.758639753846 0.434102714782 4 6 0 3 1023 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 1 -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 0.758639753846 0.434102714782 1 6 2 5 0132 2031 0132 1302 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 1 -1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633913173352 0.355266926465 4 2 1 4 3012 1023 0132 1230 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 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 0.710143625007 0.740935541709 6 6 3 1 2103 0321 2031 0132 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 -1 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 0.588969423208 0.686200779032 3 2 5 5 1302 0132 2103 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588969423208 0.686200779032 ==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_0101_1']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_1']})} 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_2, c_0011_5, c_0101_1, c_0101_2, c_0101_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 133868112965994280804/13491580356571451783*c_1001_1^12 - 680650870053198813921/13491580356571451783*c_1001_1^11 - 222121900064021824241/13491580356571451783*c_1001_1^10 + 14123790780803486764103/13491580356571451783*c_1001_1^9 - 12237785022155131547731/13491580356571451783*c_1001_1^8 - 2981288799717214496071/710083176661655357*c_1001_1^7 + 19311304227943419599269/13491580356571451783*c_1001_1^6 + 153451549639662134093691/13491580356571451783*c_1001_1^5 - 81105354026662813927591/13491580356571451783*c_1001_1^4 - 56572084467409742608246/13491580356571451783*c_1001_1^3 + 13403268093196217665756/13491580356571451783*c_1001_1^2 + 10128238146680672630880/13491580356571451783*c_1001_1 - 1840363085776545769129/13491580356571451783, c_0011_0 - 1, c_0011_2 + 52506738826234710/1226507305142859253*c_1001_1^12 - 276931029744897674/1226507305142859253*c_1001_1^11 - 26614652627849698/1226507305142859253*c_1001_1^10 + 5509855457518847682/1226507305142859253*c_1001_1^9 - 5880593819072885980/1226507305142859253*c_1001_1^8 - 1068163180999816384/64553016060150487*c_1001_1^7 + 11247359922733928121/1226507305142859253*c_1001_1^6 + 54794996040142667284/1226507305142859253*c_1001_1^5 - 43272289986165384990/1226507305142859253*c_1001_1^4 - 6614316708735373515/1226507305142859253*c_1001_1^3 + 6593576294734424347/1226507305142859253*c_1001_1^2 + 1343341437555334106/1226507305142859253*c_1001_1 - 1538300812397839467/1226507305142859253, c_0011_5 - 101128374343018280/1226507305142859253*c_1001_1^12 + 490925724920238321/1226507305142859253*c_1001_1^11 + 277812641903876085/1226507305142859253*c_1001_1^10 - 10590531809169065164/1226507305142859253*c_1001_1^9 + 6811626002411522604/1226507305142859253*c_1001_1^8 + 2318545135417190905/64553016060150487*c_1001_1^7 - 4148523179524809783/1226507305142859253*c_1001_1^6 - 115723286627052421646/1226507305142859253*c_1001_1^5 + 34164382759226219328/1226507305142859253*c_1001_1^4 + 47671379962802156505/1226507305142859253*c_1001_1^3 + 2517096645434684495/1226507305142859253*c_1001_1^2 - 7317238329910230068/1226507305142859253*c_1001_1 - 530058006768203220/1226507305142859253, c_0101_1 - 101128374343018280/1226507305142859253*c_1001_1^12 + 490925724920238321/1226507305142859253*c_1001_1^11 + 277812641903876085/1226507305142859253*c_1001_1^10 - 10590531809169065164/1226507305142859253*c_1001_1^9 + 6811626002411522604/1226507305142859253*c_1001_1^8 + 2318545135417190905/64553016060150487*c_1001_1^7 - 4148523179524809783/1226507305142859253*c_1001_1^6 - 115723286627052421646/1226507305142859253*c_1001_1^5 + 34164382759226219328/1226507305142859253*c_1001_1^4 + 47671379962802156505/1226507305142859253*c_1001_1^3 + 2517096645434684495/1226507305142859253*c_1001_1^2 - 7317238329910230068/1226507305142859253*c_1001_1 - 530058006768203220/1226507305142859253, c_0101_2 - 5329089097/75252314947*c_1001_1^12 + 29053835129/75252314947*c_1001_1^11 - 736972828/75252314947*c_1001_1^10 - 567248756274/75252314947*c_1001_1^9 + 692587372726/75252314947*c_1001_1^8 + 2114271053550/75252314947*c_1001_1^7 - 1615800718877/75252314947*c_1001_1^6 - 5973488675803/75252314947*c_1001_1^5 + 5457102995758/75252314947*c_1001_1^4 + 1440377990967/75252314947*c_1001_1^3 - 1430524173864/75252314947*c_1001_1^2 - 329920469588/75252314947*c_1001_1 + 142519691211/75252314947, c_0101_3 + 1441482998315188/64553016060150487*c_1001_1^12 - 5822665668517059/64553016060150487*c_1001_1^11 - 9700730287146701/64553016060150487*c_1001_1^10 + 148295533003412338/64553016060150487*c_1001_1^9 + 24360080794358721/64553016060150487*c_1001_1^8 - 712500630007962558/64553016060150487*c_1001_1^7 - 411312839151435944/64553016060150487*c_1001_1^6 + 1703542282440927055/64553016060150487*c_1001_1^5 + 709022764014908785/64553016060150487*c_1001_1^4 - 1144352152540165398/64553016060150487*c_1001_1^3 - 255305780079790104/64553016060150487*c_1001_1^2 + 15966723802849183/64553016060150487*c_1001_1 + 25101384705561858/64553016060150487, c_1001_1^13 - 6*c_1001_1^12 + 3*c_1001_1^11 + 107*c_1001_1^10 - 188*c_1001_1^9 - 339*c_1001_1^8 + 531*c_1001_1^7 + 1013*c_1001_1^6 - 1654*c_1001_1^5 + 135*c_1001_1^4 + 482*c_1001_1^3 - 12*c_1001_1^2 - 83*c_1001_1 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB