Attachment 's4fieldellipticcurve.csv'

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-3267 [11] x^4 - x^3 + 3*x^2 + x - 1 200 "['11a1'
-3888 [2] x^4 - 2*x^3 - 6*x + 3 201 "['24a1'
-6075 [5] x^4 - x^3 + 4*x - 1 212 "['15a1'
-6912 [2] x^4 - 4*x - 6 72 "['128a1'
-7803 [17] x^4 - x^3 - 4*x + 1 134 "['17a1'
-10800 "[2 5]" x^4 - 2*x^3 - 8*x + 4 179
-10800 "[2 5]" x^4 - 2*x^3 - 4*x - 1 62
-11907 [7] x^4 - x^3 - 3*x^2 - 7*x + 1 162 "['21a1'
-15552 [2] x^4 - 2*x^3 - 3*x^2 - 2*x + 7 12 "['768b1'
-15552 [2] x^4 - 2*x^3 - 4*x + 2 122 "['96a1'
-17328 "[2 19]" x^4 - 2*x^3 + 2*x^2 + 10*x + 1 0
-18252 "[2 13]" x^4 - x^3 - 6*x^2 - 4*x - 2 166
-19200 "[2 5]" x^4 - 4*x^2 - 4*x + 2 0
-21168 "[2 7]" x^4 - 6*x^2 - 6*x - 3 102
-21168 "[2 7]" x^4 - 6*x^2 - 6*x + 18 147
-23763 [89] x^4 + 6*x^2 - 5*x - 3 49 "['89a1'
-24300 "[2 5]" x^4 - x^3 - 8*x - 16 80
-25392 "[2 23]" x^4 - 2*x^3 + 4*x^2 - 9 78
-33075 "[5 7]" x^4 - x^3 + 2*x - 11 34
-36963 [37] x^4 - x^3 + 3*x^2 - 7*x + 1 53 "['37a1'
-37632 "[2 7]" x^4 + 2*x^2 - 8*x - 19 0
-38988 "[2 19]" x^4 - 2*x^3 + 6*x^2 + 2*x - 4 118
-41067 [13] x^4 - 6*x^2 - 5*x - 3 74 "['39a1'
-41772 "[2 59]" x^4 - x^3 - 3*x^2 + 13*x - 4 73
-43200 "[2 5]" x^4 + 6*x^2 - 16*x - 3 88
-43200 "[2 5]" x^4 - 2*x^3 + 3*x^2 + 6*x - 15 16
-46128 "[2 31]" x^4 - 2*x^3 + 4*x^2 + 12*x + 3 50
-47628 "[2 7]" x^4 - 6*x^2 - 14*x - 12 58
-47628 "[2 7]" x^4 - x^3 + 16*x - 4 161
-49923 [43] x^4 - x^3 - 3*x^2 + 9*x - 3 59 "['43a1'
-52272 "[2 11]" x^4 - 2*x^3 - 6*x^2 - 2*x - 2 92
-52272 "[2 11]" x^4 - 2*x^3 - 6*x^2 - 4*x - 7 18
-55488 "[2 17]" x^4 - 2*x^3 + 5*x^2 + 6*x - 15 0
-55488 "[2 17]" x^4 - 2*x^3 - 4*x^2 + 2*x + 9 36
-57132 "[2 23]" x^4 - x^3 + 3*x^2 + 5*x - 2 98
-58800 "[2 5 7]" x^4 + x^2 - 6*x - 3
-58800 "[2 5 7]" x^4 + 2*x^2 - 20*x - 19
-59643 [47] x^4 - x^3 - 6*x^2 - 8*x - 1 67 "['141b1'
-62208 [2] x^4 - 6*x^2 - 4*x + 15 52 "['384a1'
-62208 [2] x^4 - 6*x^2 - 4*x + 6 24 "['768a1'
-70227 [17] x^4 - x^3 - 2*x - 13 8 "['867b1'
-71148 "[2 7 11]" x^4 - x^3 - 10*x^2 + 12*x + 12
-72075 "[5 31]" x^4 - x^3 - 10*x^2 + 10*x + 15 70
-73008 "[2 13]" x^4 - 2*x^3 + 6*x^2 - 3 70
-74892 "[2 79]" x^4 - 2*x^3 + 6*x^2 + 12*x - 9 57
-75843 [53] x^4 - x^3 - 6*x^2 + 8*x - 5 46 "['53a1'
-81675 "[5 11]" x^4 - 6*x^2 - 3*x - 3 85
-84672 "[2 7]" x^4 - 2*x^3 + 12*x^2 - 4*x - 10 80
-84672 "[2 7]" x^4 - 6*x^2 - 8*x - 24 8
-87723 [19] x^4 - 6*x^2 - 11*x - 3 53 "['57b1'
-87723 [19] x^4 - x^3 + 6*x^2 + 8*x - 5 75 "['57a1'
-90828 "[2 29]" x^4 - x^3 + 3*x^2 - 5*x - 4 2
-90828 "[2 29]" x^4 - 2*x^3 - 6*x^2 + 4*x - 5 81
-90828 "[2 29]" x^4 + 6*x^2 - 20*x - 3 85
-92928 "[2 11]" x^4 + 4*x^2 - 12*x + 6 0
-97200 "[2 5]" x^4 - 6*x^2 - 28*x - 3 72
-97200 "[2 5]" x^4 - 2*x^3 - 9*x^2 - 10*x + 5 0
-97200 "[2 5]" x^4 - 6*x^2 - 2*x - 3 93
-100467 [61] x^4 - x^3 + 6*x^2 - 3 46 "['61a1'
-102675 "[5 37]" x^4 - 2*x^3 - 4*x^2 - 5*x - 5 0
-103788 "[2 31]" x^4 - x^3 - 12*x^2 + 10*x + 38 4
-103788 "[2 31]" x^4 - x^3 + 8*x - 2 53
-114075 "[5 13]" x^4 - x^3 - 3*x^2 - 13*x - 65 18
-114075 "[5 13]" x^4 + 6*x^2 - x - 3 74
-117612 "[2 11]" x^4 - x^3 - 8*x + 2 101
-117612 "[2 11]" x^4 - x^3 - 9*x^2 - 21*x + 48 108
-121203 [67] x^4 - x^3 - 6*x^2 - 3 39 "['67a1'
-123627 "[7 29]" x^4 - 2*x^3 - 8*x^2 + 3*x + 27 38
-124848 "[2 17]" x^4 - 12*x^2 - 28*x - 12 49
-124848 "[2 17]" x^4 + 6*x^2 - 2*x - 3 54
-124848 "[2 17]" x^4 - 2*x^3 - 16*x - 4 4
-126075 "[5 41]" x^4 - 2*x^3 - 7*x^2 - 4*x + 15 38
-128547 [23] x^4 - x^3 + 9*x^2 + 33*x - 15 56 "['69a1'
-128547 [23] x^4 - x^3 - 9*x^2 + 19*x - 7 4 "['1587a1'
-129792 "[2 13]" x^4 + 2*x^2 - 12*x - 9 16
-132300 "[2 5 7]" x^4 - x^3 - 6*x - 6
-132300 "[2 5 7]" x^4 - 2*x^3 - 12*x^2 - 2*x + 31
-132300 "[2 5 7]" x^4 - x^3 - 9*x^2 + 29*x - 14
-136107 [71] x^4 - 12*x^2 - 21*x - 12 51 "['142a1'
-143883 [73] x^4 + 6*x^2 - 3*x - 3 22 "['73a1'
-145200 "[2 5 11]" x^4 - 2*x^3 + 8*x^2 + 8*x - 24
-145200 "[2 5 11]" x^4 - 2*x^3 - 2*x^2 - 30*x + 38
-147852 "[2 37]" x^4 - x^3 - 3*x^2 - 11*x + 2 53
-155952 "[2 19]" x^4 - 2*x^3 - 12*x^2 + 2*x - 13 37
-155952 "[2 19]" x^4 - 2*x^3 - 6*x^2 - 3 47
-160083 "[7 11]" x^4 - x^3 - 19*x - 53 84
-162867 [233] x^4 + 6*x^2 - 13*x - 3 19 "['233a1'
-164268 "[2 13]" x^4 - 2*x^3 - 12*x - 3 14
-164268 "[2 13]" x^4 - x^3 + 9*x^2 - 11*x - 4 95
-168507 [79] x^4 - x^3 + 6*x^2 - 8*x - 1 33 "['79a1'
-172800 "[2 5]" x^4 - 6*x^2 - 12*x - 18 16
-172800 "[2 5]" x^4 - 6*x^2 - 12*x + 27 40
-172800 "[2 5]" x^4 + 6*x^2 - 24*x - 3 36
-172800 "[2 5]" x^4 - 12*x^2 - 20*x + 6 0
-181548 "[2 41]" x^4 - x^3 + 9*x^2 + 11*x - 2 2
-181548 "[2 41]" x^4 - 12*x^2 - 26*x - 12 62
-186003 [83] x^4 - x^3 - 12*x^2 + 28*x - 19 29 "['83a1'
-190512 "[2 7]" x^4 - 2*x^3 - 6*x - 33 16
-190512 "[2 7]" x^4 - 6*x^2 - 20*x - 3 54
-195075 "[5 17]" x^4 + 6*x^2 - 19*x - 3 62
-199692 "[2 43]" x^4 - x^3 - 16*x - 2 0
-202800 "[2 5 13]" x^4 - 2*x^3 - 10*x^2 - 20*x - 20
-202800 "[2 5 13]" x^4 - 2*x^3 + 2*x^2 + 4*x - 11
-202800 "[2 5 13]" x^4 + 6*x^2 - 14*x - 3
-209088 "[2 11]" x^4 - 2*x^3 + 12*x^2 + 14*x - 19 48
-209088 "[2 11]" x^4 - 2*x^3 - 12*x^2 + 8*x + 50 48
-221952 "[2 17]" x^4 - 10*x^2 - 16*x - 31 0
-223587 "[7 13]" x^4 - x^3 - 9*x^2 + 30*x - 24 14
-223587 "[7 13]" x^4 - x^3 - 9*x^2 + 17*x - 11 50
-228528 "[2 23]" x^4 - 2*x^3 - 12*x^2 - 10*x + 2 4
-228528 "[2 23]" x^4 - 12*x^2 - 12*x - 12 54
-238572 "[2 47]" x^4 - 12*x^2 - 18*x - 12 41
-243675 "[5 19]" x^4 - 9*x^2 - 30*x - 21 20
-245388 "[2 11 13]" x^4 - x^3 - 4*x^2 - 24*x + 48
-245388 "[2 11 13]" x^4 - 10*x^2 - 26*x - 1
-262848 "[2 37]" x^4 + 14*x^2 - 8*x - 4 0
-262848 "[2 37]" x^4 - 2*x^3 - 4*x^2 - 22*x - 15 22
-275427 [101] x^4 - x^3 - 3*x^2 - 27*x + 6 30 "['101a1'
-277248 "[2 19]" x^4 - 4*x^2 - 8*x + 5 0
-277248 "[2 19]" x^4 + 2*x^2 - 12*x + 6 4
-280908 "[2 17]" x^4 - x^3 + 18*x^2 - 12*x - 24 60
-280908 "[2 17]" x^4 - x^3 - 9*x^2 + 45*x + 36 6
-280908 "[2 17]" x^4 + 12*x^2 - 10*x - 12 80
-282747 [307] x^4 - x^3 - 11*x^2 + 45*x + 81 22 "['307b1'
-292032 "[2 13]" x^4 - 2*x^3 + 3*x^2 + 6*x - 33 4
-292032 "[2 13]" x^4 - 2*x^3 - 12*x^2 - 12*x - 6 34
-297675 "[5 7]" x^4 - 6*x^2 - 13*x - 3 67
-303372 "[2 53]" x^4 + 6*x^2 - 28*x - 3 43
-303372 "[2 53]" x^4 - x^3 + 6*x^2 - 36*x + 24 4
-303372 "[2 53]" x^4 - x^3 + 3*x^2 + 13*x - 4 48
-312987 "[17 19]" x^4 - x^3 + 6*x^2 + 46*x - 43 4
-320787 [109] x^4 - x^3 - 9*x^2 - 7*x - 5 19 "['109a1'
-326700 "[2 5 11]" x^4 - 2*x^3 - 12*x^2 - 20*x - 32
-326700 "[2 5 11]" x^4 - x^3 - 6*x^2 + 10*x - 10
-326700 "[2 5 11]" x^4 - 2*x^3 - 44*x - 11
-326700 "[2 5 11]" x^4 - x^3 - 3*x^2 + x - 34
-326700 "[2 5 11]" x^4 - 2*x^3 - 6*x^2 - 28*x + 11
-338688 "[2 7]" x^4 - 6*x^2 - 36*x - 45 16
-338688 "[2 7]" x^4 - 24*x^2 - 48*x - 27 4
-344763 [113] x^4 - x^3 + 3*x^2 + 9*x - 3 26 "['339c1'
-344763 [113] x^4 - 12*x^2 - 25*x - 12 29 "['226a1'
-344763 [113] x^4 + 6*x^2 - 7*x - 3 21 "['113a1'
-346800 "[2 5 17]" x^4 - 2*x^3 - 10*x^2 + 6*x - 51
-346800 "[2 5 17]" x^4 - 4*x^2 - 34*x - 13
-350892 "[2 19]" x^4 - x^3 + 6*x^2 - 10*x - 14 6
-350892 "[2 19]" x^4 - x^3 + 6*x^2 - 28*x + 4 65
-357075 "[5 23]" x^4 - x^3 - 15*x^2 + 27*x + 9 12
-357075 "[5 23]" x^4 - x^3 - 15*x^2 + 45*x - 45 0
-357075 "[5 23]" x^4 - x^3 - 18*x^2 - 40*x - 17 44
-363312 "[2 29]" x^4 - 2*x^3 + 12*x^2 - 12 25
-363312 "[2 29]" x^4 + 6*x^2 - 38*x - 90 34
-375948 "[2 59]" x^4 - 2*x^3 - 6*x^2 - 12*x + 3 40
-378075 "[5 71]" x^4 - x^3 - 2*x^2 - 12*x - 21 0
-380208 "[2 89]" x^4 - 2*x^3 - 5*x^2 - 6*x + 38 0
-380208 "[2 89]" x^4 + 7*x^2 - 36*x + 33 0
-386643 [359] x^4 - x^3 - 6*x^2 + 24*x - 9 14 "['359a1'
-388800 "[2 5]" x^4 - 2*x^3 - 18*x + 9 44
-388800 "[2 5]" x^4 - 6*x^2 - 40*x + 24 0
-388800 "[2 5]" x^4 - 6*x^2 - 32*x - 3 38
-388800 "[2 5]" x^4 - 6*x^2 - 32*x - 48 4
-388800 "[2 5]" x^4 - 2*x^3 - 4*x - 106 24
-388800 "[2 5]" x^4 - 2*x^3 - 10*x + 5 32
-401868 "[2 61]" x^4 - x^3 - 15*x^2 - 27*x - 12 41
-401868 "[2 61]" x^4 - x^3 - 9*x^2 + 5*x - 8 38
-408483 [41] x^4 - x^3 - 18*x^2 - 44*x - 16 48 "['123b1'
-408483 [41] x^4 - x^3 + 9*x^2 + 9*x - 9 39 "['123a1'
-410700 "[2 5 37]" x^4 - 2*x^3 + 8*x^2 + 30*x + 3
-415152 "[2 31]" x^4 - 6*x^2 - 54*x + 90 32
-415152 "[2 31]" x^4 - 2*x^3 - 6*x^2 + 6*x - 6 33
-415152 "[2 31]" x^4 - 2*x^3 - 30*x + 39 2
-415152 "[2 31]" x^4 - 2*x^3 + 6*x^2 + 26*x + 14 2
-419628 "[2 11 17]" x^4 - x^3 + 4*x^2 + 30*x - 18
-435483 [127] x^4 - x^3 + 32*x - 8 27 "['254c1'
-444675 "[5 7 11]" x^4 - 2*x^3 - 10*x^2 - 3*x + 39
-449307 [43] x^4 - x^3 - 32*x + 8 42 "['129a1'
-451632 "[2 97]" x^4 - 2*x^3 + 6*x^2 + 14*x - 10 11
-456300 "[2 5 13]" x^4 - x^3 - 16*x + 4
-456300 "[2 5 13]" x^4 - x^3 - 18*x^2 + 2*x + 70
-463347 [131] x^4 - x^3 - 15*x^2 + 13*x - 22 26 "['131a1'
-470448 "[2 11]" x^4 - 2*x^3 - 22*x + 11 29
-470448 "[2 11]" x^4 - 2*x^3 - 10*x + 14 8
-470448 "[2 11]" x^4 - 6*x^2 - 14*x - 3 22
-470448 "[2 11]" x^4 + 12*x^2 - 4*x - 12 34
-470448 "[2 11]" x^4 - 2*x^3 - 18*x^2 + 8*x + 104 0
-477603 "[7 19]" x^4 - x^3 + 12*x^2 - 32*x + 17 2
-477603 "[7 19]" x^4 - 2*x^3 - 15*x^2 - 4*x + 83 34
-484812 "[2 67]" x^4 - x^3 - 6*x^2 - 44*x + 8 35
-489648 "[2 101]" x^4 - 2*x^3 - 6*x^2 - 16*x + 5 16
-494508 "[2 7 29]" x^4 - x^3 - 9*x^2 + x - 28
-499392 "[2 17]" x^4 - 2*x^3 + 15*x^2 - 8*x - 2 4
-499392 "[2 17]" x^4 + 12*x^2 - 24*x - 12 14
-504300 "[2 5 41]" x^4 - 2*x^3 - 4*x^2 - 15
-514188 "[2 23]" x^4 - x^3 - 3*x^2 - 19*x + 4 46
-514188 "[2 23]" x^4 - x^3 + 9*x^2 - 59*x + 8 51
-521667 [139] x^4 - x^3 - 15*x^2 - 23*x - 13 17 "['139a1'
-524172 "[2 11 19]" x^4 - x^3 - 19*x^2 + 43*x - 6
-529200 "[2 5 7]" x^4 - 2*x^3 - 12*x^2 - 30*x + 3
-529200 "[2 5 7]" x^4 - 2*x^3 - 12*x^2 + 6*x + 30
-529200 "[2 5 7]" x^4 - 2*x^3 - 20*x - 5
-529200 "[2 5 7]" x^4 - 2*x^3 - 12*x^2 - 12
-536787 [47] x^4 - x^3 + 12*x - 3 21 "['141c1'
-536787 [47] x^4 - x^3 + 9*x^2 - 35*x + 2 39 "['141d1'
-536787 [47] x^4 - x^3 - 9*x^2 - 15*x - 3 26 "['141a1'
-539328 "[2 53]" x^4 - 2*x^3 + 13*x^2 + 12*x + 2 0
-539328 "[2 53]" x^4 - 2*x^3 - 24*x^2 - 42*x - 27 12
-544428 "[2 71]" x^4 - x^3 + 3*x^2 - 35*x + 8 27
-544428 "[2 71]" x^4 - x^3 - 21*x^2 + 55*x - 28 0
-549552 "[2 107]" x^4 - 5*x^2 - 24*x - 11 0
-552123 "[11 13]" x^4 - x^3 - 18*x^2 + 13*x + 77 52

Attached Files

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  • [get | view] (2010-07-02 16:00:01, 4.8 KB) [[attachment:BenPresentation]]
  • [get | view] (2010-07-02 00:23:21, 90.0 KB) [[attachment:S_4 field _ Elliptic Curve comparison]]
  • [get | view] (2010-07-02 07:39:08, 780.1 KB) [[attachment:compileddata.csv]]
  • [get | view] (2010-07-02 16:36:56, 3.9 KB) [[attachment:exceptionalfields.csv]]
  • [get | view] (2010-07-02 07:54:25, 72.5 KB) [[attachment:freakshow.csv]]
  • [get | view] (2010-07-02 16:38:22, 90.0 KB) [[attachment:newfndata.csv]]
  • [get | view] (2010-07-02 16:59:02, 90.0 KB) [[attachment:s4fieldellipticcurve.csv]]
  • [get | view] (2010-07-02 16:52:47, 101.9 KB) [[attachment:serre.pdf]]
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