CoCalc -- lvaluesorder5sqrt5.txt

Project: Harvard Workshop: Distribution of modular symbols and L-values
Path: code / alex / psage / lvaluesorder5sqrt5.txt
Views: ¹⁸⁴⁶⁰⁷
1
Fractional ideal (11) 121 (Fractional ideal (-3*a + 2)) * (Fractional ideal (-3*a + 1)) [1, 1]
2
2.64349400471371 + 2.11967871863359*I
3
Fractional ideal (11) 121 (Fractional ideal (-3*a + 2)) * (Fractional ideal (-3*a + 1)) [2, 2]
4
1.11220914931987 + 0.661861385341200*I
5
Fractional ideal (13*a - 7) 211 Fractional ideal (13*a - 7) [1]
6
0.270190673698379 - 0.542132654592904*I
7
Fractional ideal (13*a - 7) 211 Fractional ideal (13*a - 7) [2]
8
3.11862573530779 + 2.74065169134376*I
9
Fractional ideal (13*a - 6) 211 Fractional ideal (13*a - 6) [1]
10
0.537246425899483 - 0.279780437464388*I
11
Fractional ideal (13*a - 6) 211 Fractional ideal (13*a - 6) [2]
12
1.64280629864264 - 3.81289727573790*I
13
Fractional ideal (15*a - 8) 281 Fractional ideal (15*a - 8) [1]
14
0.799630931041636 + 1.11756918601580*I
15
Fractional ideal (15*a - 8) 281 Fractional ideal (15*a - 8) [2]
16
0.668896193321883 + 1.20039509911113*I
17
Fractional ideal (15*a - 7) 281 Fractional ideal (15*a - 7) [1]
18
-0.0199513470320928 + 2.74828746483946*I
19
Fractional ideal (15*a - 7) 281 Fractional ideal (15*a - 7) [2]
20
1.86988657985847 - 2.01420113794708*I
21
Fractional ideal (a + 18) 341 (Fractional ideal (-3*a + 1)) * (Fractional ideal (5*a - 3)) [2, 1]
22
1.45101120578398 - 0.521617430312478*I
23
Fractional ideal (a + 18) 341 (Fractional ideal (-3*a + 1)) * (Fractional ideal (5*a - 3)) [1, 3]
24
0.0563577153762502 + 4.03640637307097*I
25
Fractional ideal (-4*a + 21) 341 (Fractional ideal (-3*a + 2)) * (Fractional ideal (5*a - 3)) [1, 2]
26
-0.187408727583072 + 0.227149243377430*I
27
Fractional ideal (-4*a + 21) 341 (Fractional ideal (-3*a + 2)) * (Fractional ideal (5*a - 3)) [2, 4]
28
3.35911784120422 + 4.07915613997706*I
29
Fractional ideal (4*a + 17) 341 (Fractional ideal (-3*a + 1)) * (Fractional ideal (5*a - 2)) [1, 2]
30
1.95432257382921 - 0.504540808641061*I
31
Fractional ideal (4*a + 17) 341 (Fractional ideal (-3*a + 1)) * (Fractional ideal (5*a - 2)) [2, 4]
32
-0.414566859796096 + 0.650010680287581*I
33
Fractional ideal (a - 19) 341 (Fractional ideal (-3*a + 2)) * (Fractional ideal (5*a - 2)) [2, 1]
34
0.457497113063718 + 0.133150979825481*I
35
Fractional ideal (a - 19) 341 (Fractional ideal (-3*a + 2)) * (Fractional ideal (5*a - 2)) [1, 3]
36
3.11978478978151 + 0.965738790066169*I
37
Fractional ideal (4*a - 23) 421 Fractional ideal (4*a - 23) [1]
38
-0.173473179001174 - 0.392171167853184*I
39
Fractional ideal (4*a - 23) 421 Fractional ideal (4*a - 23) [2]
40
-1.05352097604217 - 2.74391401694691*I
41
Fractional ideal (-4*a - 19) 421 Fractional ideal (-4*a - 19) [1]
42
2.50837070501377 - 2.24761113109585*I
43
Fractional ideal (-4*a - 19) 421 Fractional ideal (-4*a - 19) [2]
44
2.82480889498959 + 1.83415759878612*I
45
Fractional ideal (19*a - 10) 451 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a - 7)) [1, 2]
46
1.74195490107801 + 0.214214428817783*I
47
Fractional ideal (19*a - 10) 451 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a - 7)) [2, 4]
48
-0.0519138603730805 - 0.668366584325319*I
49
Fractional ideal (-3*a - 20) 451 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a - 7)) [2, 1]
50
2.71280780767583 + 0.839636835607123*I
51
Fractional ideal (-3*a - 20) 451 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a - 7)) [1, 3]
52
0.157124164344829 + 0.383367887529125*I
53
Fractional ideal (3*a - 23) 451 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a + 6)) [2, 1]
54
1.01162633804443 - 1.43419205515797*I
55
Fractional ideal (3*a - 23) 451 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a + 6)) [1, 3]
56
0.570282728927224 + 0.352401119505667*I
57
Fractional ideal (19*a - 9) 451 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a + 6)) [1, 2]
58
3.66283754896376 + 3.41692663384365*I
59
Fractional ideal (19*a - 9) 451 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a + 6)) [2, 4]
60
2.38804832930688 - 0.986301878397431*I
61
Fractional ideal (a - 22) 461 Fractional ideal (a - 22) [1]
62
0.592624522722177 + 0.297416455467599*I
63
Fractional ideal (a - 22) 461 Fractional ideal (a - 22) [2]
64
0.355187803254333 - 1.69921118490180*I
65
Fractional ideal (a + 21) 461 Fractional ideal (a + 21) [1]
66
1.04198734456946 - 1.05478160693580*I
67
Fractional ideal (a + 21) 461 Fractional ideal (a + 21) [2]
68
2.87586123719103 - 2.60706871347921*I
69
Fractional ideal (5*a + 21) 521 Fractional ideal (5*a + 21) [1]
70
1.44989533175720 - 1.72923169012777*I
71
Fractional ideal (5*a + 21) 521 Fractional ideal (5*a + 21) [2]
72
-1.05605483689566 - 1.99428856805196*I
73
Fractional ideal (-5*a + 26) 521 Fractional ideal (-5*a + 26) [1]
74
2.26678589086563 + 3.62459690292654*I
75
Fractional ideal (-5*a + 26) 521 Fractional ideal (-5*a + 26) [2]
76
0.0335560110819777 - 0.235865153603701*I
77
Fractional ideal (2*a + 25) 671 (Fractional ideal (-3*a + 1)) * (Fractional ideal (7*a - 4)) [1, 1]
78
3.16173309874920 - 2.62076356138794*I
79
Fractional ideal (2*a + 25) 671 (Fractional ideal (-3*a + 1)) * (Fractional ideal (7*a - 4)) [2, 2]
80
1.72223827055726 - 1.23318746438282*I
81
Fractional ideal (5*a - 29) 671 (Fractional ideal (-3*a + 2)) * (Fractional ideal (7*a - 4)) [2, 3]
82
0.576962938871172 + 1.31813344465100*I
83
Fractional ideal (5*a - 29) 671 (Fractional ideal (-3*a + 2)) * (Fractional ideal (7*a - 4)) [1, 4]
84
0.110703846598091 + 0.538336702135814*I
85
Fractional ideal (-5*a - 24) 671 (Fractional ideal (-3*a + 1)) * (Fractional ideal (7*a - 3)) [2, 3]
86
-0.356582706471412 - 0.814651270502296*I
87
Fractional ideal (-5*a - 24) 671 (Fractional ideal (-3*a + 1)) * (Fractional ideal (7*a - 3)) [1, 4]
88
0.179122586481065 + 0.871047081447274*I
89
Fractional ideal (-2*a + 27) 671 (Fractional ideal (-3*a + 2)) * (Fractional ideal (7*a - 3)) [1, 1]
90
5.37730432650301 - 4.45725265139172*I
91
Fractional ideal (-2*a + 27) 671 (Fractional ideal (-3*a + 2)) * (Fractional ideal (7*a - 3)) [2, 2]
92
0.828521246130364 - 0.593252415864733*I
93
Fractional ideal (3*a + 25) 691 Fractional ideal (3*a + 25) [1]
94
1.06157700434569 + 0.582794376197248*I
95
Fractional ideal (3*a + 25) 691 Fractional ideal (3*a + 25) [2]
96
2.60691982850923 + 1.80448353426136*I
97
Fractional ideal (-3*a + 28) 691 Fractional ideal (-3*a + 28) [1]
98
0.285390297333253 + 0.605560846196166*I
99
Fractional ideal (-3*a + 28) 691 Fractional ideal (-3*a + 28) [2]
100
1.31780852265751 - 4.39510688945541*I
101
Fractional ideal (25*a - 12) 781 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a - 9)) [2, 3]
102
3.83644169730400e-17 - 7.04724581904932e-17*I
103
Fractional ideal (25*a - 12) 781 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a - 9)) [1, 4]
104
3.42977727319086e-17 + 1.84234224012911e-16*I
105
Fractional ideal (5*a + 26) 781 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a - 9)) [1, 1]
106
1.60607128200680 - 4.55025585434421*I
107
Fractional ideal (5*a + 26) 781 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a - 9)) [2, 2]
108
-0.0260551329148557 + 0.703531163673378*I
109
Fractional ideal (-5*a + 31) 781 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a + 8)) [1, 1]
110
-0.404475524735724 - 0.309705325184351*I
111
Fractional ideal (-5*a + 31) 781 (Fractional ideal (-3*a + 1)) * (Fractional ideal (a + 8)) [2, 2]
112
0.823326180236132 - 1.04923578306954*I
113
Fractional ideal (25*a - 13) 781 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a + 8)) [2, 3]
114
-0.105658214514747 - 0.817473463628480*I
115
Fractional ideal (25*a - 13) 781 (Fractional ideal (-3*a + 2)) * (Fractional ideal (a + 8)) [1, 4]
116
0.824066632887496 + 0.0184582391536358*I
117
Fractional ideal (-27*a + 19) 881 Fractional ideal (-27*a + 19) [1]
118
-1.24642063263489 - 1.45856298909875*I
119
Fractional ideal (-27*a + 19) 881 Fractional ideal (-27*a + 19) [2]
120
1.63756401143936 - 4.74848717731481*I
121
Fractional ideal (27*a - 8) 881 Fractional ideal (27*a - 8) [1]
122
0.504187736970598 + 0.590001122773605*I
123
Fractional ideal (27*a - 8) 881 Fractional ideal (27*a - 8) [2]
124
0.253017554455786 - 0.733681617680901*I
125
Fractional ideal (31) 961 (Fractional ideal (5*a - 2)) * (Fractional ideal (5*a - 3)) [1, 1]
126
-0.405261681029562 + 1.13196904833940*I
127
Fractional ideal (31) 961 (Fractional ideal (5*a - 2)) * (Fractional ideal (5*a - 3)) [2, 2]
128
0.350128779134148 + 0.297184649980406*I
129
Fractional ideal (a - 32) 991 Fractional ideal (a - 32) [1]
130
5.69044556466475 - 0.805705773491573*I
131
Fractional ideal (a - 32) 991 Fractional ideal (a - 32) [2]
132
0.639827141127917 - 0.541952664851865*I
133
Fractional ideal (a + 31) 991 Fractional ideal (a + 31) [1]
134
2.75339013068939 - 2.66439309673583*I
135
Fractional ideal (a + 31) 991 Fractional ideal (a + 31) [2]
136
0.211806768906683 + 0.517322903638813*I
137

138