Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1805,2,Mod(1084,1805)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1805, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1805.1084");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1805 = 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1805.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(14.4129975648\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 22x^{14} + 190x^{12} + 820x^{10} + 1862x^{8} + 2154x^{6} + 1163x^{4} + 256x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1084.15 | ||
Root | \(2.31447i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1805.1084 |
Dual form | 1805.2.b.i.1084.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1805\mathbb{Z}\right)^\times\).
\(n\) | \(362\) | \(1446\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.31447i | 1.63658i | 0.574805 | + | 0.818290i | \(0.305078\pi\) | ||||
−0.574805 | + | 0.818290i | \(0.694922\pi\) | |||||||
\(3\) | 2.90369i | 1.67644i | 0.545328 | + | 0.838222i | \(0.316405\pi\) | ||||
−0.545328 | + | 0.838222i | \(0.683595\pi\) | |||||||
\(4\) | −3.35679 | −1.67840 | ||||||||
\(5\) | 1.84346 | + | 1.26556i | 0.824422 | + | 0.565976i | ||||
\(6\) | −6.72051 | −2.74364 | ||||||||
\(7\) | 2.34671i | 0.886973i | 0.896281 | + | 0.443487i | \(0.146259\pi\) | ||||
−0.896281 | + | 0.443487i | \(0.853741\pi\) | |||||||
\(8\) | − | 3.14026i | − | 1.11025i | ||||||
\(9\) | −5.43140 | −1.81047 | ||||||||
\(10\) | −2.92911 | + | 4.26665i | −0.926265 | + | 1.34923i | ||||
\(11\) | −3.45040 | −1.04033 | −0.520167 | − | 0.854065i | \(-0.674130\pi\) | ||||
−0.520167 | + | 0.854065i | \(0.674130\pi\) | |||||||
\(12\) | − | 9.74707i | − | 2.81374i | ||||||
\(13\) | − | 3.29131i | − | 0.912845i | −0.889763 | − | 0.456423i | \(-0.849131\pi\) | ||
0.889763 | − | 0.456423i | \(-0.150869\pi\) | |||||||
\(14\) | −5.43140 | −1.45160 | ||||||||
\(15\) | −3.67479 | + | 5.35284i | −0.948827 | + | 1.38210i | ||||
\(16\) | 0.554464 | 0.138616 | ||||||||
\(17\) | 1.38276i | 0.335369i | 0.985841 | + | 0.167684i | \(0.0536289\pi\) | ||||
−0.985841 | + | 0.167684i | \(0.946371\pi\) | |||||||
\(18\) | − | 12.5708i | − | 2.96298i | ||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −6.18812 | − | 4.24822i | −1.38371 | − | 0.949931i | ||||
\(21\) | −6.81412 | −1.48696 | ||||||||
\(22\) | − | 7.98585i | − | 1.70259i | ||||||
\(23\) | 8.90479i | 1.85678i | 0.371610 | + | 0.928389i | \(0.378806\pi\) | ||||
−0.371610 | + | 0.928389i | \(0.621194\pi\) | |||||||
\(24\) | 9.11833 | 1.86127 | ||||||||
\(25\) | 1.79671 | + | 4.66603i | 0.359343 | + | 0.933206i | ||||
\(26\) | 7.61765 | 1.49394 | ||||||||
\(27\) | − | 7.06003i | − | 1.35870i | ||||||
\(28\) | − | 7.87742i | − | 1.48869i | ||||||
\(29\) | 6.28677 | 1.16742 | 0.583712 | − | 0.811961i | \(-0.301600\pi\) | ||||
0.583712 | + | 0.811961i | \(0.301600\pi\) | |||||||
\(30\) | −12.3890 | − | 8.50521i | −2.26191 | − | 1.55283i | ||||
\(31\) | 7.39730 | 1.32859 | 0.664297 | − | 0.747468i | \(-0.268731\pi\) | ||||
0.664297 | + | 0.747468i | \(0.268731\pi\) | |||||||
\(32\) | − | 4.99722i | − | 0.883393i | ||||||
\(33\) | − | 10.0189i | − | 1.74406i | ||||||
\(34\) | −3.20036 | −0.548858 | ||||||||
\(35\) | −2.96990 | + | 4.32608i | −0.502006 | + | 0.731240i | ||||
\(36\) | 18.2321 | 3.03868 | ||||||||
\(37\) | 0.650489i | 0.106940i | 0.998569 | + | 0.0534698i | \(0.0170281\pi\) | ||||
−0.998569 | + | 0.0534698i | \(0.982972\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.55694 | 1.53033 | ||||||||
\(40\) | 3.97419 | − | 5.78895i | 0.628374 | − | 0.915313i | ||||
\(41\) | −2.01205 | −0.314229 | −0.157115 | − | 0.987580i | \(-0.550219\pi\) | ||||
−0.157115 | + | 0.987580i | \(0.550219\pi\) | |||||||
\(42\) | − | 15.7711i | − | 2.43353i | ||||||
\(43\) | 1.72022i | 0.262332i | 0.991360 | + | 0.131166i | \(0.0418720\pi\) | ||||
−0.991360 | + | 0.131166i | \(0.958128\pi\) | |||||||
\(44\) | 11.5823 | 1.74609 | ||||||||
\(45\) | −10.0126 | − | 6.87377i | −1.49259 | − | 1.02468i | ||||
\(46\) | −20.6099 | −3.03877 | ||||||||
\(47\) | − | 6.32206i | − | 0.922167i | −0.887357 | − | 0.461083i | \(-0.847461\pi\) | ||
0.887357 | − | 0.461083i | \(-0.152539\pi\) | |||||||
\(48\) | 1.60999i | 0.232382i | ||||||||
\(49\) | 1.49295 | 0.213278 | ||||||||
\(50\) | −10.7994 | + | 4.15845i | −1.52727 | + | 0.588093i | ||||
\(51\) | −4.01510 | −0.562227 | ||||||||
\(52\) | 11.0482i | 1.53212i | ||||||||
\(53\) | 2.12219i | 0.291505i | 0.989321 | + | 0.145752i | \(0.0465603\pi\) | ||||
−0.989321 | + | 0.145752i | \(0.953440\pi\) | |||||||
\(54\) | 16.3403 | 2.22363 | ||||||||
\(55\) | −6.36068 | − | 4.36669i | −0.857674 | − | 0.588804i | ||||
\(56\) | 7.36928 | 0.984761 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.5506i | 1.91058i | ||||||||
\(59\) | −6.06907 | −0.790126 | −0.395063 | − | 0.918654i | \(-0.629277\pi\) | ||||
−0.395063 | + | 0.918654i | \(0.629277\pi\) | |||||||
\(60\) | 12.3355 | − | 17.9684i | 1.59251 | − | 2.31971i | ||||
\(61\) | 2.96638 | 0.379805 | 0.189903 | − | 0.981803i | \(-0.439183\pi\) | ||||
0.189903 | + | 0.981803i | \(0.439183\pi\) | |||||||
\(62\) | 17.1209i | 2.17435i | ||||||||
\(63\) | − | 12.7459i | − | 1.60584i | ||||||
\(64\) | 12.6749 | 1.58436 | ||||||||
\(65\) | 4.16535 | − | 6.06741i | 0.516648 | − | 0.752569i | ||||
\(66\) | 23.1884 | 2.85430 | ||||||||
\(67\) | − | 2.46462i | − | 0.301101i | −0.988602 | − | 0.150551i | \(-0.951895\pi\) | ||
0.988602 | − | 0.150551i | \(-0.0481046\pi\) | |||||||
\(68\) | − | 4.64164i | − | 0.562881i | ||||||
\(69\) | −25.8567 | −3.11279 | ||||||||
\(70\) | −10.0126 | − | 6.87377i | −1.19673 | − | 0.821572i | ||||
\(71\) | 5.69927 | 0.676379 | 0.338189 | − | 0.941078i | \(-0.390186\pi\) | ||||
0.338189 | + | 0.941078i | \(0.390186\pi\) | |||||||
\(72\) | 17.0560i | 2.01007i | ||||||||
\(73\) | − | 6.88086i | − | 0.805344i | −0.915344 | − | 0.402672i | \(-0.868081\pi\) | ||
0.915344 | − | 0.402672i | \(-0.131919\pi\) | |||||||
\(74\) | −1.50554 | −0.175015 | ||||||||
\(75\) | −13.5487 | + | 5.21709i | −1.56447 | + | 0.602418i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 8.09708i | − | 0.922748i | ||||||
\(78\) | 22.1193i | 2.50452i | ||||||||
\(79\) | 13.8708 | 1.56058 | 0.780292 | − | 0.625415i | \(-0.215070\pi\) | ||||
0.780292 | + | 0.625415i | \(0.215070\pi\) | |||||||
\(80\) | 1.02213 | + | 0.701708i | 0.114278 | + | 0.0784533i | ||||
\(81\) | 4.20592 | 0.467325 | ||||||||
\(82\) | − | 4.65683i | − | 0.514261i | ||||||
\(83\) | 1.84546i | 0.202566i | 0.994858 | + | 0.101283i | \(0.0322947\pi\) | ||||
−0.994858 | + | 0.101283i | \(0.967705\pi\) | |||||||
\(84\) | 22.8736 | 2.49571 | ||||||||
\(85\) | −1.74997 | + | 2.54907i | −0.189811 | + | 0.276485i | ||||
\(86\) | −3.98141 | −0.429327 | ||||||||
\(87\) | 18.2548i | 1.95712i | ||||||||
\(88\) | 10.8351i | 1.15503i | ||||||||
\(89\) | 6.47352 | 0.686192 | 0.343096 | − | 0.939300i | \(-0.388524\pi\) | ||||
0.343096 | + | 0.939300i | \(0.388524\pi\) | |||||||
\(90\) | 15.9092 | − | 23.1739i | 1.67697 | − | 2.44274i | ||||
\(91\) | 7.72375 | 0.809669 | ||||||||
\(92\) | − | 29.8915i | − | 3.11641i | ||||||
\(93\) | 21.4795i | 2.22732i | ||||||||
\(94\) | 14.6322 | 1.50920 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 14.5104 | 1.48096 | ||||||||
\(97\) | − | 7.61563i | − | 0.773251i | −0.922237 | − | 0.386625i | \(-0.873641\pi\) | ||
0.922237 | − | 0.386625i | \(-0.126359\pi\) | |||||||
\(98\) | 3.45539i | 0.349047i | ||||||||
\(99\) | 18.7405 | 1.88349 | ||||||||
\(100\) | −6.03119 | − | 15.6629i | −0.603119 | − | 1.56629i | ||||
\(101\) | −16.5949 | −1.65125 | −0.825627 | − | 0.564216i | \(-0.809179\pi\) | ||||
−0.825627 | + | 0.564216i | \(0.809179\pi\) | |||||||
\(102\) | − | 9.29286i | − | 0.920130i | ||||||
\(103\) | 8.09429i | 0.797555i | 0.917048 | + | 0.398777i | \(0.130565\pi\) | ||||
−0.917048 | + | 0.398777i | \(0.869435\pi\) | |||||||
\(104\) | −10.3356 | −1.01349 | ||||||||
\(105\) | −12.5616 | − | 8.62368i | −1.22588 | − | 0.841585i | ||||
\(106\) | −4.91175 | −0.477071 | ||||||||
\(107\) | 4.57981i | 0.442747i | 0.975189 | + | 0.221373i | \(0.0710540\pi\) | ||||
−0.975189 | + | 0.221373i | \(0.928946\pi\) | |||||||
\(108\) | 23.6991i | 2.28044i | ||||||||
\(109\) | −10.0829 | −0.965762 | −0.482881 | − | 0.875686i | \(-0.660410\pi\) | ||||
−0.482881 | + | 0.875686i | \(0.660410\pi\) | |||||||
\(110\) | 10.1066 | − | 14.7216i | 0.963625 | − | 1.40365i | ||||
\(111\) | −1.88882 | −0.179278 | ||||||||
\(112\) | 1.30117i | 0.122949i | ||||||||
\(113\) | − | 15.1432i | − | 1.42455i | −0.701900 | − | 0.712276i | \(-0.747665\pi\) | ||
0.701900 | − | 0.712276i | \(-0.252335\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.2696 | + | 16.4157i | −1.05089 | + | 1.53077i | ||||
\(116\) | −21.1034 | −1.95940 | ||||||||
\(117\) | 17.8764i | 1.65268i | ||||||||
\(118\) | − | 14.0467i | − | 1.29310i | ||||||
\(119\) | −3.24494 | −0.297463 | ||||||||
\(120\) | 16.8093 | + | 11.5398i | 1.53447 | + | 1.05343i | ||||
\(121\) | 0.905235 | 0.0822941 | ||||||||
\(122\) | 6.86560i | 0.621582i | ||||||||
\(123\) | − | 5.84236i | − | 0.526788i | ||||||
\(124\) | −24.8312 | −2.22991 | ||||||||
\(125\) | −2.59297 | + | 10.8755i | −0.231922 | + | 0.972734i | ||||
\(126\) | 29.5001 | 2.62808 | ||||||||
\(127\) | 1.24195i | 0.110205i | 0.998481 | + | 0.0551027i | \(0.0175486\pi\) | ||||
−0.998481 | + | 0.0551027i | \(0.982451\pi\) | |||||||
\(128\) | 19.3412i | 1.70954i | ||||||||
\(129\) | −4.99499 | −0.439784 | ||||||||
\(130\) | 14.0429 | + | 9.64060i | 1.23164 | + | 0.845537i | ||||
\(131\) | −11.7603 | −1.02750 | −0.513751 | − | 0.857939i | \(-0.671744\pi\) | ||||
−0.513751 | + | 0.857939i | \(0.671744\pi\) | |||||||
\(132\) | 33.6313i | 2.92723i | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 5.70430 | 0.492776 | ||||||||
\(135\) | 8.93490 | − | 13.0149i | 0.768994 | − | 1.12015i | ||||
\(136\) | 4.34222 | 0.372343 | ||||||||
\(137\) | 17.4117i | 1.48758i | 0.668412 | + | 0.743792i | \(0.266975\pi\) | ||||
−0.668412 | + | 0.743792i | \(0.733025\pi\) | |||||||
\(138\) | − | 59.8448i | − | 5.09432i | ||||||
\(139\) | 10.5771 | 0.897137 | 0.448568 | − | 0.893748i | \(-0.351934\pi\) | ||||
0.448568 | + | 0.893748i | \(0.351934\pi\) | |||||||
\(140\) | 9.96935 | − | 14.5217i | 0.842564 | − | 1.22731i | ||||
\(141\) | 18.3573 | 1.54596 | ||||||||
\(142\) | 13.1908i | 1.10695i | ||||||||
\(143\) | 11.3563i | 0.949663i | ||||||||
\(144\) | −3.01152 | −0.250960 | ||||||||
\(145\) | 11.5894 | + | 7.95629i | 0.962450 | + | 0.660734i | ||||
\(146\) | 15.9256 | 1.31801 | ||||||||
\(147\) | 4.33505i | 0.357549i | ||||||||
\(148\) | − | 2.18355i | − | 0.179487i | ||||||
\(149\) | −3.63524 | −0.297810 | −0.148905 | − | 0.988852i | \(-0.547575\pi\) | ||||
−0.148905 | + | 0.988852i | \(0.547575\pi\) | |||||||
\(150\) | −12.0748 | − | 31.3581i | −0.985905 | − | 2.56038i | ||||
\(151\) | 8.01277 | 0.652070 | 0.326035 | − | 0.945358i | \(-0.394287\pi\) | ||||
0.326035 | + | 0.945358i | \(0.394287\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 7.51033i | − | 0.607174i | ||||||
\(154\) | 18.7405 | 1.51015 | ||||||||
\(155\) | 13.6367 | + | 9.36174i | 1.09532 | + | 0.751953i | ||||
\(156\) | −32.0806 | −2.56851 | ||||||||
\(157\) | 2.19221i | 0.174958i | 0.996166 | + | 0.0874789i | \(0.0278810\pi\) | ||||
−0.996166 | + | 0.0874789i | \(0.972119\pi\) | |||||||
\(158\) | 32.1036i | 2.55402i | ||||||||
\(159\) | −6.16217 | −0.488692 | ||||||||
\(160\) | 6.32429 | − | 9.21220i | 0.499979 | − | 0.728288i | ||||
\(161\) | −20.8970 | −1.64691 | ||||||||
\(162\) | 9.73450i | 0.764814i | ||||||||
\(163\) | − | 1.75826i | − | 0.137718i | −0.997626 | − | 0.0688588i | \(-0.978064\pi\) | ||
0.997626 | − | 0.0688588i | \(-0.0219358\pi\) | |||||||
\(164\) | 6.75402 | 0.527401 | ||||||||
\(165\) | 12.6795 | − | 18.4694i | 0.987097 | − | 1.43784i | ||||
\(166\) | −4.27128 | −0.331515 | ||||||||
\(167\) | 3.62416i | 0.280446i | 0.990120 | + | 0.140223i | \(0.0447819\pi\) | ||||
−0.990120 | + | 0.140223i | \(0.955218\pi\) | |||||||
\(168\) | 21.3981i | 1.65090i | ||||||||
\(169\) | 2.16728 | 0.166714 | ||||||||
\(170\) | −5.89975 | − | 4.05025i | −0.452490 | − | 0.310640i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | − | 5.77443i | − | 0.440296i | ||||||
\(173\) | − | 1.49717i | − | 0.113828i | −0.998379 | − | 0.0569140i | \(-0.981874\pi\) | ||
0.998379 | − | 0.0569140i | \(-0.0181261\pi\) | |||||||
\(174\) | −42.2503 | −3.20299 | ||||||||
\(175\) | −10.9498 | + | 4.21637i | −0.827729 | + | 0.318727i | ||||
\(176\) | −1.91312 | −0.144207 | ||||||||
\(177\) | − | 17.6227i | − | 1.32460i | ||||||
\(178\) | 14.9828i | 1.12301i | ||||||||
\(179\) | −12.9371 | −0.966963 | −0.483481 | − | 0.875355i | \(-0.660628\pi\) | ||||
−0.483481 | + | 0.875355i | \(0.660628\pi\) | |||||||
\(180\) | 33.6102 | + | 23.0738i | 2.50515 | + | 1.71982i | ||||
\(181\) | −10.0013 | −0.743390 | −0.371695 | − | 0.928355i | \(-0.621223\pi\) | ||||
−0.371695 | + | 0.928355i | \(0.621223\pi\) | |||||||
\(182\) | 17.8764i | 1.32509i | ||||||||
\(183\) | 8.61343i | 0.636723i | ||||||||
\(184\) | 27.9633 | 2.06149 | ||||||||
\(185\) | −0.823233 | + | 1.19915i | −0.0605253 | + | 0.0881634i | ||||
\(186\) | −49.7137 | −3.64518 | ||||||||
\(187\) | − | 4.77107i | − | 0.348895i | ||||||
\(188\) | 21.2218i | 1.54776i | ||||||||
\(189\) | 16.5679 | 1.20513 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −24.3534 | −1.76215 | −0.881077 | − | 0.472973i | \(-0.843181\pi\) | ||||
−0.881077 | + | 0.472973i | \(0.843181\pi\) | |||||||
\(192\) | 36.8039i | 2.65609i | ||||||||
\(193\) | − | 6.49316i | − | 0.467388i | −0.972310 | − | 0.233694i | \(-0.924919\pi\) | ||
0.972310 | − | 0.233694i | \(-0.0750813\pi\) | |||||||
\(194\) | 17.6262 | 1.26549 | ||||||||
\(195\) | 17.6179 | + | 12.0949i | 1.26164 | + | 0.866132i | ||||
\(196\) | −5.01151 | −0.357965 | ||||||||
\(197\) | − | 2.13662i | − | 0.152228i | −0.997099 | − | 0.0761138i | \(-0.975749\pi\) | ||
0.997099 | − | 0.0761138i | \(-0.0242512\pi\) | |||||||
\(198\) | 43.3744i | 3.08248i | ||||||||
\(199\) | 17.6660 | 1.25231 | 0.626156 | − | 0.779697i | \(-0.284627\pi\) | ||||
0.626156 | + | 0.779697i | \(0.284627\pi\) | |||||||
\(200\) | 14.6525 | − | 5.64214i | 1.03609 | − | 0.398960i | ||||
\(201\) | 7.15648 | 0.504779 | ||||||||
\(202\) | − | 38.4085i | − | 2.70241i | ||||||
\(203\) | 14.7532i | 1.03547i | ||||||||
\(204\) | 13.4779 | 0.943639 | ||||||||
\(205\) | −3.70914 | − | 2.54637i | −0.259057 | − | 0.177846i | ||||
\(206\) | −18.7340 | −1.30526 | ||||||||
\(207\) | − | 48.3655i | − | 3.36164i | ||||||
\(208\) | − | 1.82491i | − | 0.126535i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 19.9593 | − | 29.0734i | 1.37732 | − | 2.00626i | ||||
\(211\) | 18.9939 | 1.30759 | 0.653796 | − | 0.756671i | \(-0.273175\pi\) | ||||
0.653796 | + | 0.756671i | \(0.273175\pi\) | |||||||
\(212\) | − | 7.12374i | − | 0.489261i | ||||||
\(213\) | 16.5489i | 1.13391i | ||||||||
\(214\) | −10.5999 | −0.724591 | ||||||||
\(215\) | −2.17705 | + | 3.17117i | −0.148473 | + | 0.216272i | ||||
\(216\) | −22.1703 | −1.50850 | ||||||||
\(217\) | 17.3593i | 1.17843i | ||||||||
\(218\) | − | 23.3365i | − | 1.58055i | ||||||
\(219\) | 19.9799 | 1.35012 | ||||||||
\(220\) | 21.3515 | + | 14.6581i | 1.43952 | + | 0.988246i | ||||
\(221\) | 4.55109 | 0.306140 | ||||||||
\(222\) | − | 4.37161i | − | 0.293404i | ||||||
\(223\) | 20.2503i | 1.35606i | 0.735035 | + | 0.678029i | \(0.237166\pi\) | ||||
−0.735035 | + | 0.678029i | \(0.762834\pi\) | |||||||
\(224\) | 11.7270 | 0.783546 | ||||||||
\(225\) | −9.75867 | − | 25.3431i | −0.650578 | − | 1.68954i | ||||
\(226\) | 35.0485 | 2.33139 | ||||||||
\(227\) | 15.8466i | 1.05177i | 0.850554 | + | 0.525887i | \(0.176266\pi\) | ||||
−0.850554 | + | 0.525887i | \(0.823734\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.87340 | −0.652453 | −0.326226 | − | 0.945292i | \(-0.605777\pi\) | ||||
−0.326226 | + | 0.945292i | \(0.605777\pi\) | |||||||
\(230\) | −37.9936 | − | 26.0831i | −2.50522 | − | 1.71987i | ||||
\(231\) | 23.5114 | 1.54694 | ||||||||
\(232\) | − | 19.7421i | − | 1.29613i | ||||||
\(233\) | 3.74263i | 0.245188i | 0.992457 | + | 0.122594i | \(0.0391213\pi\) | ||||
−0.992457 | + | 0.122594i | \(0.960879\pi\) | |||||||
\(234\) | −41.3745 | −2.70474 | ||||||||
\(235\) | 8.00095 | − | 11.6545i | 0.521924 | − | 0.760254i | ||||
\(236\) | 20.3726 | 1.32614 | ||||||||
\(237\) | 40.2764i | 2.61623i | ||||||||
\(238\) | − | 7.51033i | − | 0.486822i | ||||||
\(239\) | 21.2541 | 1.37482 | 0.687408 | − | 0.726272i | \(-0.258749\pi\) | ||||
0.687408 | + | 0.726272i | \(0.258749\pi\) | |||||||
\(240\) | −2.03754 | + | 2.96796i | −0.131523 | + | 0.191581i | ||||
\(241\) | −27.7142 | −1.78523 | −0.892613 | − | 0.450824i | \(-0.851130\pi\) | ||||
−0.892613 | + | 0.450824i | \(0.851130\pi\) | |||||||
\(242\) | 2.09514i | 0.134681i | ||||||||
\(243\) | − | 8.96741i | − | 0.575260i | ||||||
\(244\) | −9.95750 | −0.637464 | ||||||||
\(245\) | 2.75219 | + | 1.88942i | 0.175831 | + | 0.120710i | ||||
\(246\) | 13.5220 | 0.862130 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 23.2294i | − | 1.47507i | ||||||
\(249\) | −5.35865 | −0.339591 | ||||||||
\(250\) | −25.1711 | − | 6.00136i | −1.59196 | − | 0.379559i | ||||
\(251\) | −17.0524 | −1.07634 | −0.538168 | − | 0.842838i | \(-0.680883\pi\) | ||||
−0.538168 | + | 0.842838i | \(0.680883\pi\) | |||||||
\(252\) | 42.7854i | 2.69523i | ||||||||
\(253\) | − | 30.7251i | − | 1.93167i | ||||||
\(254\) | −2.87446 | −0.180360 | ||||||||
\(255\) | −7.40170 | − | 5.08136i | −0.463512 | − | 0.318207i | ||||
\(256\) | −19.4150 | −1.21344 | ||||||||
\(257\) | − | 8.87646i | − | 0.553699i | −0.960913 | − | 0.276849i | \(-0.910710\pi\) | ||
0.960913 | − | 0.276849i | \(-0.0892903\pi\) | |||||||
\(258\) | − | 11.5608i | − | 0.719743i | ||||||
\(259\) | −1.52651 | −0.0948526 | ||||||||
\(260\) | −13.9822 | + | 20.3670i | −0.867140 | + | 1.26311i | ||||
\(261\) | −34.1460 | −2.11358 | ||||||||
\(262\) | − | 27.2189i | − | 1.68159i | ||||||
\(263\) | 28.6398i | 1.76600i | 0.469370 | + | 0.883002i | \(0.344481\pi\) | ||||
−0.469370 | + | 0.883002i | \(0.655519\pi\) | |||||||
\(264\) | −31.4618 | −1.93634 | ||||||||
\(265\) | −2.68576 | + | 3.91218i | −0.164985 | + | 0.240323i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 18.7971i | 1.15036i | ||||||||
\(268\) | 8.27321i | 0.505367i | ||||||||
\(269\) | 29.2060 | 1.78072 | 0.890362 | − | 0.455254i | \(-0.150451\pi\) | ||||
0.890362 | + | 0.455254i | \(0.150451\pi\) | |||||||
\(270\) | 30.1227 | + | 20.6796i | 1.83321 | + | 1.25852i | ||||
\(271\) | −13.1166 | −0.796779 | −0.398390 | − | 0.917216i | \(-0.630431\pi\) | ||||
−0.398390 | + | 0.917216i | \(0.630431\pi\) | |||||||
\(272\) | 0.766691i | 0.0464875i | ||||||||
\(273\) | 22.4274i | 1.35737i | ||||||||
\(274\) | −40.2990 | −2.43455 | ||||||||
\(275\) | −6.19937 | − | 16.0996i | −0.373836 | − | 0.970845i | ||||
\(276\) | 86.7957 | 5.22449 | ||||||||
\(277\) | 6.23517i | 0.374635i | 0.982299 | + | 0.187317i | \(0.0599793\pi\) | ||||
−0.982299 | + | 0.187317i | \(0.940021\pi\) | |||||||
\(278\) | 24.4804i | 1.46824i | ||||||||
\(279\) | −40.1777 | −2.40538 | ||||||||
\(280\) | 13.5850 | + | 9.32627i | 0.811859 | + | 0.557351i | ||||
\(281\) | −16.8127 | −1.00296 | −0.501480 | − | 0.865169i | \(-0.667211\pi\) | ||||
−0.501480 | + | 0.865169i | \(0.667211\pi\) | |||||||
\(282\) | 42.4875i | 2.53009i | ||||||||
\(283\) | − | 15.7304i | − | 0.935076i | −0.883973 | − | 0.467538i | \(-0.845141\pi\) | ||
0.883973 | − | 0.467538i | \(-0.154859\pi\) | |||||||
\(284\) | −19.1312 | −1.13523 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −26.2839 | −1.55420 | ||||||||
\(287\) | − | 4.72169i | − | 0.278713i | ||||||
\(288\) | 27.1419i | 1.59935i | ||||||||
\(289\) | 15.0880 | 0.887528 | ||||||||
\(290\) | −18.4146 | + | 26.8234i | −1.08134 | + | 1.57513i | ||||
\(291\) | 22.1134 | 1.29631 | ||||||||
\(292\) | 23.0976i | 1.35169i | ||||||||
\(293\) | − | 18.3605i | − | 1.07263i | −0.844016 | − | 0.536317i | \(-0.819815\pi\) | ||
0.844016 | − | 0.536317i | \(-0.180185\pi\) | |||||||
\(294\) | −10.0334 | −0.585158 | ||||||||
\(295\) | −11.1881 | − | 7.68078i | −0.651397 | − | 0.447192i | ||||
\(296\) | 2.04270 | 0.118730 | ||||||||
\(297\) | 24.3599i | 1.41351i | ||||||||
\(298\) | − | 8.41366i | − | 0.487390i | ||||||
\(299\) | 29.3084 | 1.69495 | ||||||||
\(300\) | 45.4801 | − | 17.5127i | 2.62580 | − | 1.01110i | ||||
\(301\) | −4.03687 | −0.232681 | ||||||||
\(302\) | 18.5454i | 1.06717i | ||||||||
\(303\) | − | 48.1864i | − | 2.76824i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.46840 | + | 3.75413i | 0.313120 | + | 0.214961i | ||||
\(306\) | 17.3825 | 0.993689 | ||||||||
\(307\) | − | 21.4942i | − | 1.22674i | −0.789796 | − | 0.613370i | \(-0.789814\pi\) | ||
0.789796 | − | 0.613370i | \(-0.210186\pi\) | |||||||
\(308\) | 27.1802i | 1.54874i | ||||||||
\(309\) | −23.5033 | −1.33706 | ||||||||
\(310\) | −21.6675 | + | 31.5617i | −1.23063 | + | 1.79258i | ||||
\(311\) | −31.3890 | −1.77990 | −0.889952 | − | 0.456054i | \(-0.849262\pi\) | ||||
−0.889952 | + | 0.456054i | \(0.849262\pi\) | |||||||
\(312\) | − | 30.0112i | − | 1.69905i | ||||||
\(313\) | − | 21.6308i | − | 1.22264i | −0.791382 | − | 0.611321i | \(-0.790638\pi\) | ||
0.791382 | − | 0.611321i | \(-0.209362\pi\) | |||||||
\(314\) | −5.07382 | −0.286332 | ||||||||
\(315\) | 16.1307 | − | 23.4967i | 0.908865 | − | 1.32389i | ||||
\(316\) | −46.5613 | −2.61928 | ||||||||
\(317\) | 26.0643i | 1.46392i | 0.681348 | + | 0.731959i | \(0.261394\pi\) | ||||
−0.681348 | + | 0.731959i | \(0.738606\pi\) | |||||||
\(318\) | − | 14.2622i | − | 0.799784i | ||||||
\(319\) | −21.6918 | −1.21451 | ||||||||
\(320\) | 23.3657 | + | 16.0408i | 1.30618 | + | 0.896709i | ||||
\(321\) | −13.2983 | −0.742241 | ||||||||
\(322\) | − | 48.3655i | − | 2.69530i | ||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −14.1184 | −0.784356 | ||||||||
\(325\) | 15.3573 | − | 5.91354i | 0.851872 | − | 0.328024i | ||||
\(326\) | 4.06945 | 0.225386 | ||||||||
\(327\) | − | 29.2775i | − | 1.61905i | ||||||
\(328\) | 6.31835i | 0.348872i | ||||||||
\(329\) | 14.8360 | 0.817937 | ||||||||
\(330\) | 42.7470 | + | 29.3464i | 2.35315 | + | 1.61546i | ||||
\(331\) | 1.38704 | 0.0762389 | 0.0381194 | − | 0.999273i | \(-0.487863\pi\) | ||||
0.0381194 | + | 0.999273i | \(0.487863\pi\) | |||||||
\(332\) | − | 6.19484i | − | 0.339986i | ||||||
\(333\) | − | 3.53306i | − | 0.193611i | ||||||
\(334\) | −8.38802 | −0.458972 | ||||||||
\(335\) | 3.11912 | − | 4.54343i | 0.170416 | − | 0.248234i | ||||
\(336\) | −3.77818 | −0.206117 | ||||||||
\(337\) | − | 18.9728i | − | 1.03352i | −0.856131 | − | 0.516758i | \(-0.827139\pi\) | ||
0.856131 | − | 0.516758i | \(-0.172861\pi\) | |||||||
\(338\) | 5.01611i | 0.272840i | ||||||||
\(339\) | 43.9711 | 2.38818 | ||||||||
\(340\) | 5.87427 | − | 8.55669i | 0.318577 | − | 0.464052i | ||||
\(341\) | −25.5236 | −1.38218 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.9305i | 1.07615i | ||||||||
\(344\) | 5.40195 | 0.291253 | ||||||||
\(345\) | −47.6659 | − | 32.7233i | −2.56625 | − | 1.76176i | ||||
\(346\) | 3.46517 | 0.186289 | ||||||||
\(347\) | − | 26.6474i | − | 1.43051i | −0.698865 | − | 0.715254i | \(-0.746311\pi\) | ||
0.698865 | − | 0.715254i | \(-0.253689\pi\) | |||||||
\(348\) | − | 61.2776i | − | 3.28482i | ||||||
\(349\) | 10.7692 | 0.576460 | 0.288230 | − | 0.957561i | \(-0.406933\pi\) | ||||
0.288230 | + | 0.957561i | \(0.406933\pi\) | |||||||
\(350\) | −9.75867 | − | 25.3431i | −0.521623 | − | 1.35464i | ||||
\(351\) | −23.2368 | −1.24029 | ||||||||
\(352\) | 17.2424i | 0.919023i | ||||||||
\(353\) | − | 3.45433i | − | 0.183856i | −0.995766 | − | 0.0919278i | \(-0.970697\pi\) | ||
0.995766 | − | 0.0919278i | \(-0.0293029\pi\) | |||||||
\(354\) | 40.7873 | 2.16782 | ||||||||
\(355\) | 10.5064 | + | 7.21277i | 0.557621 | + | 0.382814i | ||||
\(356\) | −21.7302 | −1.15170 | ||||||||
\(357\) | − | 9.42229i | − | 0.498680i | ||||||
\(358\) | − | 29.9425i | − | 1.58251i | ||||||
\(359\) | 28.0316 | 1.47945 | 0.739725 | − | 0.672909i | \(-0.234956\pi\) | ||||
0.739725 | + | 0.672909i | \(0.234956\pi\) | |||||||
\(360\) | −21.5854 | + | 31.4421i | −1.13765 | + | 1.65714i | ||||
\(361\) | 0 | 0 | ||||||||
\(362\) | − | 23.1477i | − | 1.21662i | ||||||
\(363\) | 2.62852i | 0.137961i | ||||||||
\(364\) | −25.9270 | −1.35895 | ||||||||
\(365\) | 8.70815 | − | 12.6846i | 0.455805 | − | 0.663943i | ||||
\(366\) | −19.9356 | −1.04205 | ||||||||
\(367\) | − | 0.122068i | − | 0.00637192i | −0.999995 | − | 0.00318596i | \(-0.998986\pi\) | ||
0.999995 | − | 0.00318596i | \(-0.00101412\pi\) | |||||||
\(368\) | 4.93739i | 0.257379i | ||||||||
\(369\) | 10.9282 | 0.568901 | ||||||||
\(370\) | −2.77541 | − | 1.90535i | −0.144286 | − | 0.0990545i | ||||
\(371\) | −4.98016 | −0.258557 | ||||||||
\(372\) | − | 72.1021i | − | 3.73832i | ||||||
\(373\) | − | 32.4779i | − | 1.68164i | −0.541315 | − | 0.840820i | \(-0.682073\pi\) | ||
0.541315 | − | 0.840820i | \(-0.317927\pi\) | |||||||
\(374\) | 11.0425 | 0.570995 | ||||||||
\(375\) | −31.5791 | − | 7.52917i | −1.63074 | − | 0.388805i | ||||
\(376\) | −19.8529 | −1.02383 | ||||||||
\(377\) | − | 20.6917i | − | 1.06568i | ||||||
\(378\) | 38.3459i | 1.97230i | ||||||||
\(379\) | −32.8185 | −1.68578 | −0.842888 | − | 0.538090i | \(-0.819146\pi\) | ||||
−0.842888 | + | 0.538090i | \(0.819146\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.60624 | −0.184753 | ||||||||
\(382\) | − | 56.3654i | − | 2.88391i | ||||||
\(383\) | 23.5078i | 1.20119i | 0.799553 | + | 0.600596i | \(0.205070\pi\) | ||||
−0.799553 | + | 0.600596i | \(0.794930\pi\) | |||||||
\(384\) | −56.1609 | −2.86595 | ||||||||
\(385\) | 10.2473 | − | 14.9267i | 0.522253 | − | 0.760734i | ||||
\(386\) | 15.0282 | 0.764918 | ||||||||
\(387\) | − | 9.34322i | − | 0.474943i | ||||||
\(388\) | 25.5641i | 1.29782i | ||||||||
\(389\) | 32.8332 | 1.66471 | 0.832354 | − | 0.554244i | \(-0.186993\pi\) | ||||
0.832354 | + | 0.554244i | \(0.186993\pi\) | |||||||
\(390\) | −27.9933 | + | 40.7761i | −1.41750 | + | 2.06478i | ||||
\(391\) | −12.3132 | −0.622705 | ||||||||
\(392\) | − | 4.68824i | − | 0.236792i | ||||||
\(393\) | − | 34.1482i | − | 1.72255i | ||||||
\(394\) | 4.94515 | 0.249133 | ||||||||
\(395\) | 25.5703 | + | 17.5543i | 1.28658 | + | 0.883253i | ||||
\(396\) | −62.9079 | −3.16124 | ||||||||
\(397\) | 35.3737i | 1.77535i | 0.460467 | + | 0.887677i | \(0.347682\pi\) | ||||
−0.460467 | + | 0.887677i | \(0.652318\pi\) | |||||||
\(398\) | 40.8876i | 2.04951i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.996213 | + | 2.58715i | 0.0498106 | + | 0.129357i | ||||
\(401\) | 3.00886 | 0.150255 | 0.0751276 | − | 0.997174i | \(-0.476064\pi\) | ||||
0.0751276 | + | 0.997174i | \(0.476064\pi\) | |||||||
\(402\) | 16.5635i | 0.826112i | ||||||||
\(403\) | − | 24.3468i | − | 1.21280i | ||||||
\(404\) | 55.7056 | 2.77146 | ||||||||
\(405\) | 7.75346 | + | 5.32285i | 0.385273 | + | 0.264494i | ||||
\(406\) | −34.1460 | −1.69464 | ||||||||
\(407\) | − | 2.24444i | − | 0.111253i | ||||||
\(408\) | 12.6085i | 0.624212i | ||||||||
\(409\) | −12.0147 | −0.594087 | −0.297043 | − | 0.954864i | \(-0.596001\pi\) | ||||
−0.297043 | + | 0.954864i | \(0.596001\pi\) | |||||||
\(410\) | 5.89350 | − | 8.58470i | 0.291059 | − | 0.423968i | ||||
\(411\) | −50.5582 | −2.49385 | ||||||||
\(412\) | − | 27.1709i | − | 1.33861i | ||||||
\(413\) | − | 14.2424i | − | 0.700821i | ||||||
\(414\) | 111.941 | 5.50159 | ||||||||
\(415\) | −2.33555 | + | 3.40204i | −0.114647 | + | 0.167000i | ||||
\(416\) | −16.4474 | −0.806401 | ||||||||
\(417\) | 30.7126i | 1.50400i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.0485 | 0.490900 | 0.245450 | − | 0.969409i | \(-0.421064\pi\) | ||||
0.245450 | + | 0.969409i | \(0.421064\pi\) | |||||||
\(420\) | 42.1666 | + | 28.9479i | 2.05752 | + | 1.41251i | ||||
\(421\) | −24.4034 | −1.18935 | −0.594675 | − | 0.803966i | \(-0.702719\pi\) | ||||
−0.594675 | + | 0.803966i | \(0.702719\pi\) | |||||||
\(422\) | 43.9608i | 2.13998i | ||||||||
\(423\) | 34.3376i | 1.66955i | ||||||||
\(424\) | 6.66422 | 0.323643 | ||||||||
\(425\) | −6.45200 | + | 2.48442i | −0.312968 | + | 0.120512i | ||||
\(426\) | −38.3020 | −1.85574 | ||||||||
\(427\) | 6.96123i | 0.336877i | ||||||||
\(428\) | − | 15.3735i | − | 0.743104i | ||||||
\(429\) | −32.9752 | −1.59206 | ||||||||
\(430\) | −7.33959 | − | 5.03872i | −0.353946 | − | 0.242989i | ||||
\(431\) | 7.90872 | 0.380950 | 0.190475 | − | 0.981692i | \(-0.438997\pi\) | ||||
0.190475 | + | 0.981692i | \(0.438997\pi\) | |||||||
\(432\) | − | 3.91453i | − | 0.188338i | ||||||
\(433\) | − | 1.34464i | − | 0.0646191i | −0.999478 | − | 0.0323095i | \(-0.989714\pi\) | ||
0.999478 | − | 0.0323095i | \(-0.0102862\pi\) | |||||||
\(434\) | −40.1777 | −1.92859 | ||||||||
\(435\) | −23.1026 | + | 33.6521i | −1.10768 | + | 1.61349i | ||||
\(436\) | 33.8460 | 1.62093 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 46.2429i | 2.20957i | ||||||||
\(439\) | 11.3408 | 0.541268 | 0.270634 | − | 0.962682i | \(-0.412767\pi\) | ||||
0.270634 | + | 0.962682i | \(0.412767\pi\) | |||||||
\(440\) | −13.7125 | + | 19.9742i | −0.653719 | + | 0.952231i | ||||
\(441\) | −8.10880 | −0.386133 | ||||||||
\(442\) | 10.5334i | 0.501022i | ||||||||
\(443\) | − | 14.0383i | − | 0.666978i | −0.942754 | − | 0.333489i | \(-0.891774\pi\) | ||
0.942754 | − | 0.333489i | \(-0.108226\pi\) | |||||||
\(444\) | 6.34036 | 0.300900 | ||||||||
\(445\) | 11.9337 | + | 8.19263i | 0.565711 | + | 0.388368i | ||||
\(446\) | −46.8687 | −2.21930 | ||||||||
\(447\) | − | 10.5556i | − | 0.499262i | ||||||
\(448\) | 29.7443i | 1.40528i | ||||||||
\(449\) | 3.88724 | 0.183450 | 0.0917252 | − | 0.995784i | \(-0.470762\pi\) | ||||
0.0917252 | + | 0.995784i | \(0.470762\pi\) | |||||||
\(450\) | 58.6559 | − | 22.5862i | 2.76507 | − | 1.06472i | ||||
\(451\) | 6.94236 | 0.326903 | ||||||||
\(452\) | 50.8325i | 2.39096i | ||||||||
\(453\) | 23.2666i | 1.09316i | ||||||||
\(454\) | −36.6765 | −1.72131 | ||||||||
\(455\) | 14.2385 | + | 9.77488i | 0.667509 | + | 0.458253i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 31.0487i | − | 1.45240i | −0.687486 | − | 0.726198i | \(-0.741286\pi\) | ||
0.687486 | − | 0.726198i | \(-0.258714\pi\) | |||||||
\(458\) | − | 22.8517i | − | 1.06779i | ||||||
\(459\) | 9.76233 | 0.455667 | ||||||||
\(460\) | 37.8295 | − | 55.1039i | 1.76381 | − | 2.56923i | ||||
\(461\) | 31.2148 | 1.45382 | 0.726909 | − | 0.686734i | \(-0.240956\pi\) | ||||
0.726909 | + | 0.686734i | \(0.240956\pi\) | |||||||
\(462\) | 54.4165i | 2.53169i | ||||||||
\(463\) | 29.2480i | 1.35927i | 0.733551 | + | 0.679634i | \(0.237861\pi\) | ||||
−0.733551 | + | 0.679634i | \(0.762139\pi\) | |||||||
\(464\) | 3.48579 | 0.161824 | ||||||||
\(465\) | −27.1836 | + | 39.5966i | −1.26061 | + | 1.83625i | ||||
\(466\) | −8.66223 | −0.401270 | ||||||||
\(467\) | 12.5589i | 0.581155i | 0.956851 | + | 0.290578i | \(0.0938474\pi\) | ||||
−0.956851 | + | 0.290578i | \(0.906153\pi\) | |||||||
\(468\) | − | 60.0074i | − | 2.77384i | ||||||
\(469\) | 5.78375 | 0.267069 | ||||||||
\(470\) | 26.9740 | + | 18.5180i | 1.24422 | + | 0.854171i | ||||
\(471\) | −6.36551 | −0.293307 | ||||||||
\(472\) | 19.0585i | 0.877237i | ||||||||
\(473\) | − | 5.93545i | − | 0.272912i | ||||||
\(474\) | −93.2187 | −4.28168 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 10.8926 | 0.499261 | ||||||||
\(477\) | − | 11.5265i | − | 0.527760i | ||||||
\(478\) | 49.1921i | 2.25000i | ||||||||
\(479\) | −8.84075 | −0.403944 | −0.201972 | − | 0.979391i | \(-0.564735\pi\) | ||||
−0.201972 | + | 0.979391i | \(0.564735\pi\) | |||||||
\(480\) | 26.7493 | + | 18.3638i | 1.22093 | + | 0.838187i | ||||
\(481\) | 2.14096 | 0.0976193 | ||||||||
\(482\) | − | 64.1437i | − | 2.92167i | ||||||
\(483\) | − | 60.6783i | − | 2.76096i | ||||||
\(484\) | −3.03868 | −0.138122 | ||||||||
\(485\) | 9.63805 | − | 14.0391i | 0.437641 | − | 0.637485i | ||||
\(486\) | 20.7548 | 0.941459 | ||||||||
\(487\) | 7.47254i | 0.338613i | 0.985563 | + | 0.169307i | \(0.0541528\pi\) | ||||
−0.985563 | + | 0.169307i | \(0.945847\pi\) | |||||||
\(488\) | − | 9.31518i | − | 0.421679i | ||||||
\(489\) | 5.10544 | 0.230876 | ||||||||
\(490\) | −4.37300 | + | 6.36988i | −0.197552 | + | 0.287762i | ||||
\(491\) | 22.1507 | 0.999647 | 0.499823 | − | 0.866127i | \(-0.333398\pi\) | ||||
0.499823 | + | 0.866127i | \(0.333398\pi\) | |||||||
\(492\) | 19.6116i | 0.884158i | ||||||||
\(493\) | 8.69310i | 0.391517i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 34.5474 | + | 23.7172i | 1.55279 | + | 1.06601i | ||||
\(496\) | 4.10154 | 0.184165 | ||||||||
\(497\) | 13.3745i | 0.599930i | ||||||||
\(498\) | − | 12.4025i | − | 0.555767i | ||||||
\(499\) | 3.30154 | 0.147797 | 0.0738985 | − | 0.997266i | \(-0.476456\pi\) | ||||
0.0738985 | + | 0.997266i | \(0.476456\pi\) | |||||||
\(500\) | 8.70405 | − | 36.5068i | 0.389257 | − | 1.63263i | ||||
\(501\) | −10.5234 | −0.470152 | ||||||||
\(502\) | − | 39.4673i | − | 1.76151i | ||||||
\(503\) | − | 21.3453i | − | 0.951739i | −0.879516 | − | 0.475870i | \(-0.842133\pi\) | ||
0.879516 | − | 0.475870i | \(-0.157867\pi\) | |||||||
\(504\) | −40.0255 | −1.78288 | ||||||||
\(505\) | −30.5921 | − | 21.0019i | −1.36133 | − | 0.934570i | ||||
\(506\) | 71.1124 | 3.16133 | ||||||||
\(507\) | 6.29310i | 0.279486i | ||||||||
\(508\) | − | 4.16897i | − | 0.184968i | ||||||
\(509\) | 9.88579 | 0.438180 | 0.219090 | − | 0.975705i | \(-0.429691\pi\) | ||||
0.219090 | + | 0.975705i | \(0.429691\pi\) | |||||||
\(510\) | 11.7607 | − | 17.1310i | 0.520771 | − | 0.758575i | ||||
\(511\) | 16.1474 | 0.714319 | ||||||||
\(512\) | − | 6.25310i | − | 0.276351i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 20.5443 | 0.906172 | ||||||||
\(515\) | −10.2438 | + | 14.9215i | −0.451397 | + | 0.657521i | ||||
\(516\) | 16.7671 | 0.738132 | ||||||||
\(517\) | 21.8136i | 0.959361i | ||||||||
\(518\) | − | 3.53306i | − | 0.155234i | ||||||
\(519\) | 4.34732 | 0.190826 | ||||||||
\(520\) | −19.0532 | − | 13.0803i | −0.835539 | − | 0.573608i | ||||
\(521\) | 26.6149 | 1.16602 | 0.583009 | − | 0.812465i | \(-0.301875\pi\) | ||||
0.583009 | + | 0.812465i | \(0.301875\pi\) | |||||||
\(522\) | − | 79.0300i | − | 3.45905i | ||||||
\(523\) | 11.4971i | 0.502732i | 0.967892 | + | 0.251366i | \(0.0808797\pi\) | ||||
−0.967892 | + | 0.251366i | \(0.919120\pi\) | |||||||
\(524\) | 39.4769 | 1.72455 | ||||||||
\(525\) | −12.2430 | − | 31.7949i | −0.534329 | − | 1.38764i | ||||
\(526\) | −66.2860 | −2.89021 | ||||||||
\(527\) | 10.2287i | 0.445569i | ||||||||
\(528\) | − | 5.55511i | − | 0.241755i | ||||||
\(529\) | −56.2953 | −2.44762 | ||||||||
\(530\) | −9.05463 | − | 6.21612i | −0.393308 | − | 0.270011i | ||||
\(531\) | 32.9636 | 1.43050 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.62227i | 0.286842i | ||||||||
\(534\) | −43.5053 | −1.88266 | ||||||||
\(535\) | −5.79603 | + | 8.44271i | −0.250584 | + | 0.365010i | ||||
\(536\) | −7.73954 | −0.334297 | ||||||||
\(537\) | − | 37.5652i | − | 1.62106i | ||||||
\(538\) | 67.5966i | 2.91430i | ||||||||
\(539\) | −5.15126 | −0.221881 | ||||||||
\(540\) | −29.9926 | + | 43.6883i | −1.29068 | + | 1.88005i | ||||
\(541\) | 11.5115 | 0.494919 | 0.247460 | − | 0.968898i | \(-0.420404\pi\) | ||||
0.247460 | + | 0.968898i | \(0.420404\pi\) | |||||||
\(542\) | − | 30.3581i | − | 1.30399i | ||||||
\(543\) | − | 29.0406i | − | 1.24625i | ||||||
\(544\) | 6.90996 | 0.296262 | ||||||||
\(545\) | −18.5874 | − | 12.7605i | −0.796195 | − | 0.546598i | ||||
\(546\) | −51.9076 | −2.22144 | ||||||||
\(547\) | − | 37.0866i | − | 1.58571i | −0.609412 | − | 0.792854i | \(-0.708594\pi\) | ||
0.609412 | − | 0.792854i | \(-0.291406\pi\) | |||||||
\(548\) | − | 58.4475i | − | 2.49675i | ||||||
\(549\) | −16.1116 | −0.687625 | ||||||||
\(550\) | 37.2622 | − | 14.3483i | 1.58887 | − | 0.611813i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 81.1968i | 3.45597i | ||||||||
\(553\) | 32.5507i | 1.38420i | ||||||||
\(554\) | −14.4311 | −0.613120 | ||||||||
\(555\) | −3.48196 | − | 2.39041i | −0.147801 | − | 0.101467i | ||||
\(556\) | −35.5051 | −1.50575 | ||||||||
\(557\) | 32.6114i | 1.38179i | 0.722955 | + | 0.690895i | \(0.242783\pi\) | ||||
−0.722955 | + | 0.690895i | \(0.757217\pi\) | |||||||
\(558\) | − | 92.9903i | − | 3.93659i | ||||||
\(559\) | 5.66179 | 0.239468 | ||||||||
\(560\) | −1.64671 | + | 2.39865i | −0.0695860 | + | 0.101362i | ||||
\(561\) | 13.8537 | 0.584904 | ||||||||
\(562\) | − | 38.9125i | − | 1.64143i | ||||||
\(563\) | 39.3465i | 1.65826i | 0.559059 | + | 0.829128i | \(0.311162\pi\) | ||||
−0.559059 | + | 0.829128i | \(0.688838\pi\) | |||||||
\(564\) | −61.6216 | −2.59474 | ||||||||
\(565\) | 19.1646 | − | 27.9159i | 0.806262 | − | 1.17443i | ||||
\(566\) | 36.4076 | 1.53033 | ||||||||
\(567\) | 9.87008i | 0.414505i | ||||||||
\(568\) | − | 17.8972i | − | 0.750949i | ||||||
\(569\) | −2.56181 | −0.107397 | −0.0536983 | − | 0.998557i | \(-0.517101\pi\) | ||||
−0.0536983 | + | 0.998557i | \(0.517101\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 39.2894 | 1.64421 | 0.822105 | − | 0.569337i | \(-0.192800\pi\) | ||||
0.822105 | + | 0.569337i | \(0.192800\pi\) | |||||||
\(572\) | − | 38.1208i | − | 1.59391i | ||||||
\(573\) | − | 70.7148i | − | 2.95415i | ||||||
\(574\) | 10.9282 | 0.456136 | ||||||||
\(575\) | −41.5500 | + | 15.9994i | −1.73276 | + | 0.667219i | ||||
\(576\) | −68.8423 | −2.86843 | ||||||||
\(577\) | 41.0561i | 1.70919i | 0.519297 | + | 0.854594i | \(0.326194\pi\) | ||||
−0.519297 | + | 0.854594i | \(0.673806\pi\) | |||||||
\(578\) | 34.9207i | 1.45251i | ||||||||
\(579\) | 18.8541 | 0.783550 | ||||||||
\(580\) | −38.9033 | − | 26.7076i | −1.61537 | − | 1.10897i | ||||
\(581\) | −4.33077 | −0.179671 | ||||||||
\(582\) | 51.1809i | 2.12152i | ||||||||
\(583\) | − | 7.32239i | − | 0.303262i | ||||||
\(584\) | −21.6077 | −0.894133 | ||||||||
\(585\) | −22.6237 | + | 32.9545i | −0.935375 | + | 1.36250i | ||||
\(586\) | 42.4950 | 1.75545 | ||||||||
\(587\) | − | 10.7634i | − | 0.444252i | −0.975018 | − | 0.222126i | \(-0.928700\pi\) | ||
0.975018 | − | 0.222126i | \(-0.0712997\pi\) | |||||||
\(588\) | − | 14.5519i | − | 0.600109i | ||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 17.7770 | − | 25.8946i | 0.731866 | − | 1.06606i | ||||
\(591\) | 6.20407 | 0.255201 | ||||||||
\(592\) | 0.360673i | 0.0148235i | ||||||||
\(593\) | − | 7.83424i | − | 0.321714i | −0.986978 | − | 0.160857i | \(-0.948574\pi\) | ||
0.986978 | − | 0.160857i | \(-0.0514257\pi\) | |||||||
\(594\) | −56.3804 | −2.31332 | ||||||||
\(595\) | −5.98193 | − | 4.10667i | −0.245235 | − | 0.168357i | ||||
\(596\) | 12.2027 | 0.499843 | ||||||||
\(597\) | 51.2967i | 2.09943i | ||||||||
\(598\) | 67.8336i | 2.77392i | ||||||||
\(599\) | 29.7590 | 1.21592 | 0.607960 | − | 0.793968i | \(-0.291988\pi\) | ||||
0.607960 | + | 0.793968i | \(0.291988\pi\) | |||||||
\(600\) | 16.3830 | + | 42.5464i | 0.668834 | + | 1.73695i | ||||
\(601\) | 5.85799 | 0.238952 | 0.119476 | − | 0.992837i | \(-0.461878\pi\) | ||||
0.119476 | + | 0.992837i | \(0.461878\pi\) | |||||||
\(602\) | − | 9.34322i | − | 0.380801i | ||||||
\(603\) | 13.3863i | 0.545134i | ||||||||
\(604\) | −26.8972 | −1.09443 | ||||||||
\(605\) | 1.66877 | + | 1.14563i | 0.0678450 | + | 0.0465765i | ||||
\(606\) | 111.526 | 4.53044 | ||||||||
\(607\) | − | 4.74137i | − | 0.192446i | −0.995360 | − | 0.0962231i | \(-0.969324\pi\) | ||
0.995360 | − | 0.0962231i | \(-0.0306762\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −42.8388 | −1.73591 | ||||||||
\(610\) | −8.68883 | + | 12.6565i | −0.351801 | + | 0.512446i | ||||
\(611\) | −20.8079 | −0.841796 | ||||||||
\(612\) | 25.2106i | 1.01908i | ||||||||
\(613\) | 0.275200i | 0.0111152i | 0.999985 | + | 0.00555761i | \(0.00176905\pi\) | ||||
−0.999985 | + | 0.00555761i | \(0.998231\pi\) | |||||||
\(614\) | 49.7478 | 2.00766 | ||||||||
\(615\) | 7.39386 | − | 10.7702i | 0.298149 | − | 0.434295i | ||||
\(616\) | −25.4269 | −1.02448 | ||||||||
\(617\) | − | 14.4721i | − | 0.582626i | −0.956628 | − | 0.291313i | \(-0.905908\pi\) | ||
0.956628 | − | 0.291313i | \(-0.0940922\pi\) | |||||||
\(618\) | − | 54.3978i | − | 2.18820i | ||||||
\(619\) | −22.3695 | −0.899108 | −0.449554 | − | 0.893253i | \(-0.648417\pi\) | ||||
−0.449554 | + | 0.893253i | \(0.648417\pi\) | |||||||
\(620\) | −45.7754 | − | 31.4254i | −1.83838 | − | 1.26207i | ||||
\(621\) | 62.8681 | 2.52281 | ||||||||
\(622\) | − | 72.6489i | − | 2.91296i | ||||||
\(623\) | 15.1915i | 0.608634i | ||||||||
\(624\) | 5.29898 | 0.212129 | ||||||||
\(625\) | −18.5436 | + | 16.7670i | −0.741746 | + | 0.670681i | ||||
\(626\) | 50.0638 | 2.00095 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 7.35881i | − | 0.293648i | ||||||
\(629\) | −0.899470 | −0.0358642 | ||||||||
\(630\) | 54.3824 | + | 37.3342i | 2.16665 | + | 1.48743i | ||||
\(631\) | −0.112343 | −0.00447232 | −0.00223616 | − | 0.999997i | \(-0.500712\pi\) | ||||
−0.00223616 | + | 0.999997i | \(0.500712\pi\) | |||||||
\(632\) | − | 43.5578i | − | 1.73264i | ||||||
\(633\) | 55.1523i | 2.19211i | ||||||||
\(634\) | −60.3252 | −2.39582 | ||||||||
\(635\) | −1.57176 | + | 2.28949i | −0.0623736 | + | 0.0908557i | ||||
\(636\) | 20.6851 | 0.820218 | ||||||||
\(637\) | − | 4.91375i | − | 0.194690i | ||||||
\(638\) | − | 50.2052i | − | 1.98764i | ||||||
\(639\) | −30.9550 | −1.22456 | ||||||||
\(640\) | −24.4775 | + | 35.6548i | −0.967558 | + | 1.40938i | ||||
\(641\) | 26.8374 | 1.06001 | 0.530006 | − | 0.847994i | \(-0.322190\pi\) | ||||
0.530006 | + | 0.847994i | \(0.322190\pi\) | |||||||
\(642\) | − | 30.7787i | − | 1.21474i | ||||||
\(643\) | − | 3.66175i | − | 0.144405i | −0.997390 | − | 0.0722027i | \(-0.976997\pi\) | ||
0.997390 | − | 0.0722027i | \(-0.0230028\pi\) | |||||||
\(644\) | 70.1468 | 2.76417 | ||||||||
\(645\) | −9.20808 | − | 6.32146i | −0.362568 | − | 0.248907i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.3983i | 1.15577i | 0.816120 | + | 0.577883i | \(0.196121\pi\) | ||||
−0.816120 | + | 0.577883i | \(0.803879\pi\) | |||||||
\(648\) | − | 13.2077i | − | 0.518847i | ||||||
\(649\) | 20.9407 | 0.821995 | ||||||||
\(650\) | 13.6867 | + | 35.5442i | 0.536838 | + | 1.39416i | ||||
\(651\) | −50.4061 | −1.97557 | ||||||||
\(652\) | 5.90211i | 0.231144i | ||||||||
\(653\) | 20.3618i | 0.796819i | 0.917208 | + | 0.398409i | \(0.130438\pi\) | ||||
−0.917208 | + | 0.398409i | \(0.869562\pi\) | |||||||
\(654\) | 67.7619 | 2.64970 | ||||||||
\(655\) | −21.6797 | − | 14.8834i | −0.847095 | − | 0.581541i | ||||
\(656\) | −1.11561 | −0.0435572 | ||||||||
\(657\) | 37.3727i | 1.45805i | ||||||||
\(658\) | 34.3376i | 1.33862i | ||||||||
\(659\) | −25.7612 | −1.00352 | −0.501758 | − | 0.865008i | \(-0.667313\pi\) | ||||
−0.501758 | + | 0.865008i | \(0.667313\pi\) | |||||||
\(660\) | −42.5624 | + | 61.9980i | −1.65674 | + | 2.41327i | ||||
\(661\) | −9.09527 | −0.353765 | −0.176883 | − | 0.984232i | \(-0.556601\pi\) | ||||
−0.176883 | + | 0.984232i | \(0.556601\pi\) | |||||||
\(662\) | 3.21028i | 0.124771i | ||||||||
\(663\) | 13.2150i | 0.513226i | ||||||||
\(664\) | 5.79523 | 0.224899 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 8.17719 | 0.316860 | ||||||||
\(667\) | 55.9824i | 2.16765i | ||||||||
\(668\) | − | 12.1655i | − | 0.470699i | ||||||
\(669\) | −58.8004 | −2.27336 | ||||||||
\(670\) | 10.5157 | + | 7.21913i | 0.406255 | + | 0.278899i | ||||
\(671\) | −10.2352 | −0.395124 | ||||||||
\(672\) | 34.0517i | 1.31357i | ||||||||
\(673\) | 8.00415i | 0.308537i | 0.988029 | + | 0.154269i | \(0.0493021\pi\) | ||||
−0.988029 | + | 0.154269i | \(0.950698\pi\) | |||||||
\(674\) | 43.9121 | 1.69143 | ||||||||
\(675\) | 32.9423 | − | 12.6848i | 1.26795 | − | 0.488240i | ||||
\(676\) | −7.27510 | −0.279812 | ||||||||
\(677\) | − | 1.04002i | − | 0.0399712i | −0.999800 | − | 0.0199856i | \(-0.993638\pi\) | ||
0.999800 | − | 0.0199856i | \(-0.00636204\pi\) | |||||||
\(678\) | 101.770i | 3.90845i | ||||||||
\(679\) | 17.8717 | 0.685853 | ||||||||
\(680\) | 8.00473 | + | 5.49535i | 0.306967 | + | 0.210737i | ||||
\(681\) | −46.0135 | −1.76324 | ||||||||
\(682\) | − | 59.0738i | − | 2.26205i | ||||||
\(683\) | 31.1559i | 1.19215i | 0.802930 | + | 0.596073i | \(0.203273\pi\) | ||||
−0.802930 | + | 0.596073i | \(0.796727\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.0356 | + | 32.0979i | −0.841936 | + | 1.22640i | ||||
\(686\) | −46.1286 | −1.76120 | ||||||||
\(687\) | − | 28.6693i | − | 1.09380i | ||||||
\(688\) | 0.953802i | 0.0363634i | ||||||||
\(689\) | 6.98478 | 0.266099 | ||||||||
\(690\) | 75.7372 | − | 110.322i | 2.88326 | − | 4.19987i | ||||
\(691\) | 23.1659 | 0.881272 | 0.440636 | − | 0.897686i | \(-0.354753\pi\) | ||||
0.440636 | + | 0.897686i | \(0.354753\pi\) | |||||||
\(692\) | 5.02570i | 0.191048i | ||||||||
\(693\) | 43.9785i | 1.67061i | ||||||||
\(694\) | 61.6747 | 2.34114 | ||||||||
\(695\) | 19.4985 | + | 13.3859i | 0.739619 | + | 0.507758i | ||||
\(696\) | 57.3248 | 2.17289 | ||||||||
\(697\) | − | 2.78218i | − | 0.105383i | ||||||
\(698\) | 24.9250i | 0.943423i | ||||||||
\(699\) | −10.8674 | −0.411044 | ||||||||
\(700\) | 36.7563 | − | 14.1535i | 1.38926 | − | 0.534950i | ||||
\(701\) | 10.2358 | 0.386601 | 0.193300 | − | 0.981140i | \(-0.438081\pi\) | ||||
0.193300 | + | 0.981140i | \(0.438081\pi\) | |||||||
\(702\) | − | 53.7809i | − | 2.02983i | ||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −43.7333 | −1.64826 | ||||||||
\(705\) | 33.8410 | + | 23.2323i | 1.27452 | + | 0.874977i | ||||
\(706\) | 7.99497 | 0.300895 | ||||||||
\(707\) | − | 38.9434i | − | 1.46462i | ||||||
\(708\) | 59.1557i | 2.22321i | ||||||||
\(709\) | −24.3417 | −0.914171 | −0.457085 | − | 0.889423i | \(-0.651107\pi\) | ||||
−0.457085 | + | 0.889423i | \(0.651107\pi\) | |||||||
\(710\) | −16.6938 | + | 24.3168i | −0.626506 | + | 0.912592i | ||||
\(711\) | −75.3378 | −2.82539 | ||||||||
\(712\) | − | 20.3285i | − | 0.761843i | ||||||
\(713\) | 65.8715i | 2.46691i | ||||||||
\(714\) | 21.8076 | 0.816131 | ||||||||
\(715\) | −14.3721 | + | 20.9350i | −0.537487 | + | 0.782923i | ||||
\(716\) | 43.4271 | 1.62295 | ||||||||
\(717\) | 61.7154i | 2.30480i | ||||||||
\(718\) | 64.8784i | 2.42124i | ||||||||
\(719\) | 22.3900 | 0.835007 | 0.417504 | − | 0.908675i | \(-0.362905\pi\) | ||||
0.417504 | + | 0.908675i | \(0.362905\pi\) | |||||||
\(720\) | −5.55162 | − | 3.81126i | −0.206897 | − | 0.142037i | ||||
\(721\) | −18.9950 | −0.707410 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 80.4732i | − | 2.99283i | ||||||
\(724\) | 33.5723 | 1.24770 | ||||||||
\(725\) | 11.2955 | + | 29.3342i | 0.419505 | + | 1.08945i | ||||
\(726\) | −6.08364 | −0.225785 | ||||||||
\(727\) | − | 6.53528i | − | 0.242380i | −0.992629 | − | 0.121190i | \(-0.961329\pi\) | ||
0.992629 | − | 0.121190i | \(-0.0386710\pi\) | |||||||
\(728\) | − | 24.2546i | − | 0.898934i | ||||||
\(729\) | 38.6563 | 1.43172 | ||||||||
\(730\) | 29.3582 | + | 20.1548i | 1.08660 | + | 0.745962i | ||||
\(731\) | −2.37866 | −0.0879778 | ||||||||
\(732\) | − | 28.9135i | − | 1.06867i | ||||||
\(733\) | 10.5576i | 0.389954i | 0.980808 | + | 0.194977i | \(0.0624632\pi\) | ||||
−0.980808 | + | 0.194977i | \(0.937537\pi\) | |||||||
\(734\) | 0.282524 | 0.0104282 | ||||||||
\(735\) | −5.48627 | + | 7.99151i | −0.202364 | + | 0.294771i | ||||
\(736\) | 44.4992 | 1.64026 | ||||||||
\(737\) | 8.50391i | 0.313246i | ||||||||
\(738\) | 25.2931i | 0.931053i | ||||||||
\(739\) | −9.05935 | −0.333254 | −0.166627 | − | 0.986020i | \(-0.553288\pi\) | ||||
−0.166627 | + | 0.986020i | \(0.553288\pi\) | |||||||
\(740\) | 2.76342 | − | 4.02530i | 0.101585 | − | 0.147973i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 11.5265i | − | 0.423150i | ||||||
\(743\) | − | 10.6892i | − | 0.392147i | −0.980589 | − | 0.196074i | \(-0.937181\pi\) | ||
0.980589 | − | 0.196074i | \(-0.0628192\pi\) | |||||||
\(744\) | 67.4510 | 2.47288 | ||||||||
\(745\) | −6.70142 | − | 4.60061i | −0.245521 | − | 0.168553i | ||||
\(746\) | 75.1692 | 2.75214 | ||||||||
\(747\) | − | 10.0235i | − | 0.366739i | ||||||
\(748\) | 16.0155i | 0.585584i | ||||||||
\(749\) | −10.7475 | −0.392705 | ||||||||
\(750\) | 17.4261 | − | 73.0889i | 0.636310 | − | 2.66883i | ||||
\(751\) | 50.9596 | 1.85954 | 0.929772 | − | 0.368136i | \(-0.120004\pi\) | ||||
0.929772 | + | 0.368136i | \(0.120004\pi\) | |||||||
\(752\) | − | 3.50535i | − | 0.127827i | ||||||
\(753\) | − | 49.5147i | − | 1.80442i | ||||||
\(754\) | 47.8904 | 1.74407 | ||||||||
\(755\) | 14.7713 | + | 10.1406i | 0.537581 | + | 0.369056i | ||||
\(756\) | −55.6148 | −2.02269 | ||||||||
\(757\) | 48.7783i | 1.77288i | 0.462847 | + | 0.886438i | \(0.346828\pi\) | ||||
−0.462847 | + | 0.886438i | \(0.653172\pi\) | |||||||
\(758\) | − | 75.9577i | − | 2.75891i | ||||||
\(759\) | 89.2160 | 3.23834 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.3424 | 1.09991 | 0.549956 | − | 0.835193i | \(-0.314644\pi\) | ||||
0.549956 | + | 0.835193i | \(0.314644\pi\) | |||||||
\(762\) | − | 8.34654i | − | 0.302363i | ||||||
\(763\) | − | 23.6615i | − | 0.856605i | ||||||
\(764\) | 81.7494 | 2.95759 | ||||||||
\(765\) | 9.50478 | − | 13.8450i | 0.343646 | − | 0.500567i | ||||
\(766\) | −54.4082 | −1.96585 | ||||||||
\(767\) | 19.9752i | 0.721263i | ||||||||
\(768\) | − | 56.3751i | − | 2.03426i | ||||||
\(769\) | −13.4786 | −0.486052 | −0.243026 | − | 0.970020i | \(-0.578140\pi\) | ||||
−0.243026 | + | 0.970020i | \(0.578140\pi\) | |||||||
\(770\) | 34.5474 | + | 23.7172i | 1.24500 | + | 0.854709i | ||||
\(771\) | 25.7745 | 0.928245 | ||||||||
\(772\) | 21.7962i | 0.784461i | ||||||||
\(773\) | 16.3898i | 0.589500i | 0.955574 | + | 0.294750i | \(0.0952364\pi\) | ||||
−0.955574 | + | 0.294750i | \(0.904764\pi\) | |||||||
\(774\) | 21.6247 | 0.777282 | ||||||||
\(775\) | 13.2908 | + | 34.5160i | 0.477421 | + | 1.23985i | ||||
\(776\) | −23.9151 | −0.858501 | ||||||||
\(777\) | − | 4.43250i | − | 0.159015i | ||||||
\(778\) | 75.9915i | 2.72443i | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −59.1395 | − | 40.6000i | −2.11753 | − | 1.45371i | ||||
\(781\) | −19.6647 | −0.703659 | ||||||||
\(782\) | − | 28.4986i | − | 1.01911i | ||||||
\(783\) | − | 44.3848i | − | 1.58618i | ||||||
\(784\) | 0.827786 | 0.0295638 | ||||||||
\(785\) | −2.77438 | + | 4.04127i | −0.0990219 | + | 0.144239i | ||||
\(786\) | 79.0352 | 2.81909 | ||||||||
\(787\) | 13.6646i | 0.487090i | 0.969890 | + | 0.243545i | \(0.0783103\pi\) | ||||
−0.969890 | + | 0.243545i | \(0.921690\pi\) | |||||||
\(788\) | 7.17218i | 0.255498i | ||||||||
\(789\) | −83.1609 | −2.96061 | ||||||||
\(790\) | −40.6290 | + | 59.1817i | −1.44552 | + | 2.10559i | ||||
\(791\) | 35.5367 | 1.26354 | ||||||||
\(792\) | − | 58.8500i | − | 2.09114i | ||||||
\(793\) | − | 9.76326i | − | 0.346704i | ||||||
\(794\) | −81.8715 | −2.90551 | ||||||||
\(795\) | −11.3597 | − | 7.79860i | −0.402888 | − | 0.276588i | ||||
\(796\) | −59.3012 | −2.10188 | ||||||||
\(797\) | − | 33.2973i | − | 1.17945i | −0.807604 | − | 0.589725i | \(-0.799236\pi\) | ||
0.807604 | − | 0.589725i | \(-0.200764\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.74189 | 0.309266 | ||||||||
\(800\) | 23.3172 | − | 8.97857i | 0.824387 | − | 0.317441i | ||||
\(801\) | −35.1603 | −1.24233 | ||||||||
\(802\) | 6.96393i | 0.245905i | ||||||||
\(803\) | 23.7417i | 0.837827i | ||||||||
\(804\) | −24.0228 | −0.847219 | ||||||||
\(805\) | −38.5228 | − | 26.4464i | −1.35775 | − | 0.932113i | ||||
\(806\) | 56.3501 | 1.98485 | ||||||||
\(807\) | 84.8052i | 2.98528i | ||||||||
\(808\) | 52.1123i | 1.83330i | ||||||||
\(809\) | −49.3206 | −1.73402 | −0.867010 | − | 0.498291i | \(-0.833961\pi\) | ||||
−0.867010 | + | 0.498291i | \(0.833961\pi\) | |||||||
\(810\) | −12.3196 | + | 17.9452i | −0.432867 | + | 0.630530i | ||||
\(811\) | 40.7084 | 1.42947 | 0.714733 | − | 0.699398i | \(-0.246548\pi\) | ||||
0.714733 | + | 0.699398i | \(0.246548\pi\) | |||||||
\(812\) | − | 49.5235i | − | 1.73793i | ||||||
\(813\) | − | 38.0866i | − | 1.33576i | ||||||
\(814\) | 5.19471 | 0.182074 | ||||||||
\(815\) | 2.22518 | − | 3.24129i | 0.0779448 | − | 0.113537i | ||||
\(816\) | −2.22623 | −0.0779337 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | − | 27.8076i | − | 0.972271i | ||||||
\(819\) | −41.9508 | −1.46588 | ||||||||
\(820\) | 12.4508 | + | 8.54763i | 0.434801 | + | 0.298496i | ||||
\(821\) | −32.8536 | −1.14660 | −0.573300 | − | 0.819346i | \(-0.694337\pi\) | ||||
−0.573300 | + | 0.819346i | \(0.694337\pi\) | |||||||
\(822\) | − | 117.016i | − | 4.08139i | ||||||
\(823\) | 19.7037i | 0.686826i | 0.939184 | + | 0.343413i | \(0.111583\pi\) | ||||
−0.939184 | + | 0.343413i | \(0.888417\pi\) | |||||||
\(824\) | 25.4182 | 0.885484 | ||||||||
\(825\) | 46.7483 | − | 18.0010i | 1.62757 | − | 0.626716i | ||||
\(826\) | 32.9636 | 1.14695 | ||||||||
\(827\) | 12.4937i | 0.434447i | 0.976122 | + | 0.217224i | \(0.0697001\pi\) | ||||
−0.976122 | + | 0.217224i | \(0.930300\pi\) | |||||||
\(828\) | 162.353i | 5.64215i | ||||||||
\(829\) | 1.71981 | 0.0597316 | 0.0298658 | − | 0.999554i | \(-0.490492\pi\) | ||||
0.0298658 | + | 0.999554i | \(0.490492\pi\) | |||||||
\(830\) | −7.87394 | − | 5.40556i | −0.273309 | − | 0.187630i | ||||
\(831\) | −18.1050 | −0.628055 | ||||||||
\(832\) | − | 41.7169i | − | 1.44627i | ||||||
\(833\) | 2.06439i | 0.0715268i | ||||||||
\(834\) | −71.0834 | −2.46142 | ||||||||
\(835\) | −4.58659 | + | 6.68100i | −0.158726 | + | 0.231206i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 52.2252i | − | 1.80517i | ||||||
\(838\) | 23.2570i | 0.803398i | ||||||||
\(839\) | 14.8429 | 0.512432 | 0.256216 | − | 0.966620i | \(-0.417524\pi\) | ||||
0.256216 | + | 0.966620i | \(0.417524\pi\) | |||||||
\(840\) | −27.0806 | + | 39.4466i | −0.934368 | + | 1.36104i | ||||
\(841\) | 10.5235 | 0.362878 | ||||||||
\(842\) | − | 56.4811i | − | 1.94647i | ||||||
\(843\) | − | 48.8188i | − | 1.68141i | ||||||
\(844\) | −63.7585 | −2.19466 | ||||||||
\(845\) | 3.99530 | + | 2.74282i | 0.137442 | + | 0.0943560i | ||||
\(846\) | −79.4736 | −2.73236 | ||||||||
\(847\) | 2.12432i | 0.0729926i | ||||||||
\(848\) | 1.17668i | 0.0404073i | ||||||||
\(849\) | 45.6762 | 1.56760 | ||||||||
\(850\) | −5.75013 | − | 14.9330i | −0.197228 | − | 0.512197i | ||||
\(851\) | −5.79247 | −0.198563 | ||||||||
\(852\) | − | 55.5512i | − | 1.90315i | ||||||
\(853\) | 37.7010i | 1.29086i | 0.763820 | + | 0.645430i | \(0.223322\pi\) | ||||
−0.763820 | + | 0.645430i | \(0.776678\pi\) | |||||||
\(854\) | −16.1116 | −0.551327 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.3818 | 0.491559 | ||||||||
\(857\) | − | 8.91399i | − | 0.304496i | −0.988342 | − | 0.152248i | \(-0.951349\pi\) | ||
0.988342 | − | 0.152248i | \(-0.0486513\pi\) | |||||||
\(858\) | − | 76.3203i | − | 2.60553i | ||||||
\(859\) | 7.01741 | 0.239431 | 0.119715 | − | 0.992808i | \(-0.461802\pi\) | ||||
0.119715 | + | 0.992808i | \(0.461802\pi\) | |||||||
\(860\) | 7.30789 | − | 10.6449i | 0.249197 | − | 0.362990i | ||||
\(861\) | 13.7103 | 0.467247 | ||||||||
\(862\) | 18.3045i | 0.623455i | ||||||||
\(863\) | − | 22.9207i | − | 0.780231i | −0.920766 | − | 0.390115i | \(-0.872435\pi\) | ||
0.920766 | − | 0.390115i | \(-0.127565\pi\) | |||||||
\(864\) | −35.2806 | −1.20027 | ||||||||
\(865\) | 1.89476 | − | 2.75998i | 0.0644239 | − | 0.0938422i | ||||
\(866\) | 3.11212 | 0.105754 | ||||||||
\(867\) | 43.8108i | 1.48789i | ||||||||
\(868\) | − | 58.2717i | − | 1.97787i | ||||||
\(869\) | −47.8597 | −1.62353 | ||||||||
\(870\) | −77.8869 | − | 53.4703i | −2.64061 | − | 1.81281i | ||||
\(871\) | −8.11182 | −0.274859 | ||||||||
\(872\) | 31.6628i | 1.07224i | ||||||||
\(873\) | 41.3636i | 1.39994i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −25.5217 | − | 6.08495i | −0.862789 | − | 0.205709i | ||||
\(876\) | −67.0683 | −2.26603 | ||||||||
\(877\) | − | 7.56012i | − | 0.255287i | −0.991820 | − | 0.127644i | \(-0.959259\pi\) | ||
0.991820 | − | 0.127644i | \(-0.0407414\pi\) | |||||||
\(878\) | 26.2481i | 0.885829i | ||||||||
\(879\) | 53.3133 | 1.79821 | ||||||||
\(880\) | −3.52677 | − | 2.42117i | −0.118887 | − | 0.0816176i | ||||
\(881\) | 6.69446 | 0.225542 | 0.112771 | − | 0.993621i | \(-0.464027\pi\) | ||||
0.112771 | + | 0.993621i | \(0.464027\pi\) | |||||||
\(882\) | − | 18.7676i | − | 0.631938i | ||||||
\(883\) | 14.9282i | 0.502375i | 0.967938 | + | 0.251188i | \(0.0808211\pi\) | ||||
−0.967938 | + | 0.251188i | \(0.919179\pi\) | |||||||
\(884\) | −15.2771 | −0.513823 | ||||||||
\(885\) | 22.3026 | − | 32.4868i | 0.749693 | − | 1.09203i | ||||
\(886\) | 32.4912 | 1.09156 | ||||||||
\(887\) | 25.5872i | 0.859134i | 0.903035 | + | 0.429567i | \(0.141334\pi\) | ||||
−0.903035 | + | 0.429567i | \(0.858666\pi\) | |||||||
\(888\) | 5.93137i | 0.199044i | ||||||||
\(889\) | −2.91450 | −0.0977492 | ||||||||
\(890\) | −18.9616 | + | 27.6202i | −0.635595 | + | 0.925832i | ||||
\(891\) | −14.5121 | −0.486174 | ||||||||
\(892\) | − | 67.9759i | − | 2.27600i | ||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 24.4306 | 0.817083 | ||||||||
\(895\) | −23.8490 | − | 16.3727i | −0.797185 | − | 0.547277i | ||||
\(896\) | −45.3883 | −1.51632 | ||||||||
\(897\) | 85.1025i | 2.84149i | ||||||||
\(898\) | 8.99692i | 0.300231i | ||||||||
\(899\) | 46.5051 | 1.55103 | ||||||||
\(900\) | 32.7578 | + | 85.0714i | 1.09193 | + | 2.83571i | ||||
\(901\) | −2.93448 | −0.0977616 | ||||||||
\(902\) | 16.0679i | 0.535003i | ||||||||
\(903\) | − | 11.7218i | − | 0.390077i | ||||||
\(904\) | −47.5535 | −1.58161 | ||||||||
\(905\) | −18.4370 | − | 12.6572i | −0.612867 | − | 0.420741i | ||||
\(906\) | −53.8499 | −1.78904 | ||||||||
\(907\) | 11.0018i | 0.365308i | 0.983177 | + | 0.182654i | \(0.0584688\pi\) | ||||
−0.983177 | + | 0.182654i | \(0.941531\pi\) | |||||||
\(908\) | − | 53.1936i | − | 1.76529i | ||||||
\(909\) | 90.1336 | 2.98954 | ||||||||
\(910\) | −22.6237 | + | 32.9545i | −0.749968 | + | 1.09243i | ||||
\(911\) | −38.0282 | −1.25993 | −0.629966 | − | 0.776623i | \(-0.716931\pi\) | ||||
−0.629966 | + | 0.776623i | \(0.716931\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 6.36758i | − | 0.210736i | ||||||
\(914\) | 71.8614 | 2.37696 | ||||||||
\(915\) | −10.9008 | + | 15.8785i | −0.360370 | + | 0.524928i | ||||
\(916\) | 33.1429 | 1.09507 | ||||||||
\(917\) | − | 27.5980i | − | 0.911367i | ||||||
\(918\) | 22.5947i | 0.745735i | ||||||||
\(919\) | −7.71405 | −0.254463 | −0.127231 | − | 0.991873i | \(-0.540609\pi\) | ||||
−0.127231 | + | 0.991873i | \(0.540609\pi\) | |||||||
\(920\) | 51.5494 | + | 35.3893i | 1.69953 | + | 1.16675i | ||||
\(921\) | 62.4125 | 2.05656 | ||||||||
\(922\) | 72.2459i | 2.37929i | ||||||||
\(923\) | − | 18.7581i | − | 0.617429i | ||||||
\(924\) | −78.9229 | −2.59637 | ||||||||
\(925\) | −3.03520 | + | 1.16874i | −0.0997967 | + | 0.0384280i | ||||
\(926\) | −67.6936 | −2.22455 | ||||||||
\(927\) | − | 43.9634i | − | 1.44395i | ||||||
\(928\) | − | 31.4164i | − | 1.03129i | ||||||
\(929\) | −22.8264 | −0.748909 | −0.374455 | − | 0.927245i | \(-0.622170\pi\) | ||||
−0.374455 | + | 0.927245i | \(0.622170\pi\) | |||||||
\(930\) | −91.6453 | − | 62.9156i | −3.00517 | − | 2.06309i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 12.5632i | − | 0.411523i | ||||||
\(933\) | − | 91.1437i | − | 2.98391i | ||||||
\(934\) | −29.0672 | −0.951107 | ||||||||
\(935\) | 6.03808 | − | 8.79529i | 0.197466 | − | 0.287637i | ||||
\(936\) | 56.1366 | 1.83488 | ||||||||
\(937\) | − | 14.8699i | − | 0.485779i | −0.970054 | − | 0.242889i | \(-0.921905\pi\) | ||
0.970054 | − | 0.242889i | \(-0.0780952\pi\) | |||||||
\(938\) | 13.3863i | 0.437079i | ||||||||
\(939\) | 62.8090 | 2.04969 | ||||||||
\(940\) | −26.8575 | + | 39.1217i | −0.875995 | + | 1.27601i | ||||
\(941\) | −56.0412 | −1.82689 | −0.913445 | − | 0.406962i | \(-0.866588\pi\) | ||||
−0.913445 | + | 0.406962i | \(0.866588\pi\) | |||||||
\(942\) | − | 14.7328i | − | 0.480021i | ||||||
\(943\) | − | 17.9169i | − | 0.583454i | ||||||
\(944\) | −3.36508 | −0.109524 | ||||||||
\(945\) | 30.5422 | + | 20.9676i | 0.993539 | + | 0.682077i | ||||
\(946\) | 13.7375 | 0.446643 | ||||||||
\(947\) | 52.2948i | 1.69935i | 0.527305 | + | 0.849676i | \(0.323202\pi\) | ||||
−0.527305 | + | 0.849676i | \(0.676798\pi\) | |||||||
\(948\) | − | 135.200i | − | 4.39108i | ||||||
\(949\) | −22.6471 | −0.735155 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −75.6827 | −2.45418 | ||||||||
\(952\) | 10.1899i | 0.330258i | ||||||||
\(953\) | − | 0.366484i | − | 0.0118716i | −0.999982 | − | 0.00593578i | \(-0.998111\pi\) | ||
0.999982 | − | 0.00593578i | \(-0.00188943\pi\) | |||||||
\(954\) | 26.6777 | 0.863722 | ||||||||
\(955\) | −44.8947 | − | 30.8208i | −1.45276 | − | 0.997337i | ||||
\(956\) | −71.3457 | −2.30748 | ||||||||
\(957\) | − | 62.9863i | − | 2.03606i | ||||||
\(958\) | − | 20.4617i | − | 0.661087i | ||||||
\(959\) | −40.8603 | −1.31945 | ||||||||
\(960\) | −46.5775 | + | 67.8466i | −1.50328 | + | 2.18974i | ||||
\(961\) | 23.7201 | 0.765164 | ||||||||
\(962\) | 4.95520i | 0.159762i | ||||||||
\(963\) | − | 24.8748i | − | 0.801579i | ||||||
\(964\) | 93.0306 | 2.99631 | ||||||||
\(965\) | 8.21748 | − | 11.9699i | 0.264530 | − | 0.385325i | ||||
\(966\) | 140.438 | 4.51853 | ||||||||
\(967\) | − | 20.1566i | − | 0.648193i | −0.946024 | − | 0.324097i | \(-0.894940\pi\) | ||
0.946024 | − | 0.324097i | \(-0.105060\pi\) | |||||||
\(968\) | − | 2.84267i | − | 0.0913669i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 32.4932 | + | 22.3070i | 1.04329 | + | 0.716235i | ||||
\(971\) | 24.7007 | 0.792682 | 0.396341 | − | 0.918103i | \(-0.370280\pi\) | ||||
0.396341 | + | 0.918103i | \(0.370280\pi\) | |||||||
\(972\) | 30.1017i | 0.965513i | ||||||||
\(973\) | 24.8214i | 0.795736i | ||||||||
\(974\) | −17.2950 | −0.554168 | ||||||||
\(975\) | 17.1711 | + | 44.5929i | 0.549914 | + | 1.42812i | ||||
\(976\) | 1.64475 | 0.0526471 | ||||||||
\(977\) | − | 10.2194i | − | 0.326946i | −0.986548 | − | 0.163473i | \(-0.947730\pi\) | ||
0.986548 | − | 0.163473i | \(-0.0522697\pi\) | |||||||
\(978\) | 11.8164i | 0.377847i | ||||||||
\(979\) | −22.3362 | −0.713868 | ||||||||
\(980\) | −9.23854 | − | 6.34237i | −0.295114 | − | 0.202600i | ||||
\(981\) | 54.7640 | 1.74848 | ||||||||
\(982\) | 51.2672i | 1.63600i | ||||||||
\(983\) | − | 21.2356i | − | 0.677311i | −0.940910 | − | 0.338656i | \(-0.890028\pi\) | ||
0.940910 | − | 0.338656i | \(-0.109972\pi\) | |||||||
\(984\) | −18.3465 | −0.584865 | ||||||||
\(985\) | 2.70402 | − | 3.93878i | 0.0861572 | − | 0.125500i | ||||
\(986\) | −20.1199 | −0.640750 | ||||||||
\(987\) | 43.0792i | 1.37123i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −15.3182 | −0.487091 | ||||||||
\(990\) | −54.8929 | + | 79.9591i | −1.74461 | + | 2.54127i | ||||
\(991\) | 20.7117 | 0.657929 | 0.328964 | − | 0.944342i | \(-0.393300\pi\) | ||||
0.328964 | + | 0.944342i | \(0.393300\pi\) | |||||||
\(992\) | − | 36.9660i | − | 1.17367i | ||||||
\(993\) | 4.02754i | 0.127810i | ||||||||
\(994\) | −30.9550 | −0.981833 | ||||||||
\(995\) | 32.5667 | + | 22.3575i | 1.03243 | + | 0.708779i | ||||
\(996\) | 17.9879 | 0.569967 | ||||||||
\(997\) | − | 49.8656i | − | 1.57926i | −0.613583 | − | 0.789630i | \(-0.710273\pi\) | ||
0.613583 | − | 0.789630i | \(-0.289727\pi\) | |||||||
\(998\) | 7.64132i | 0.241882i | ||||||||
\(999\) | 4.59247 | 0.145299 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1805.2.b.i.1084.15 | yes | 16 | |
5.2 | odd | 4 | 9025.2.a.cl.1.2 | 16 | |||
5.3 | odd | 4 | 9025.2.a.cl.1.15 | 16 | |||
5.4 | even | 2 | inner | 1805.2.b.i.1084.2 | ✓ | 16 | |
19.18 | odd | 2 | 1805.2.b.j.1084.2 | yes | 16 | ||
95.18 | even | 4 | 9025.2.a.ck.1.2 | 16 | |||
95.37 | even | 4 | 9025.2.a.ck.1.15 | 16 | |||
95.94 | odd | 2 | 1805.2.b.j.1084.15 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1805.2.b.i.1084.2 | ✓ | 16 | 5.4 | even | 2 | inner | |
1805.2.b.i.1084.15 | yes | 16 | 1.1 | even | 1 | trivial | |
1805.2.b.j.1084.2 | yes | 16 | 19.18 | odd | 2 | ||
1805.2.b.j.1084.15 | yes | 16 | 95.94 | odd | 2 | ||
9025.2.a.ck.1.2 | 16 | 95.18 | even | 4 | |||
9025.2.a.ck.1.15 | 16 | 95.37 | even | 4 | |||
9025.2.a.cl.1.2 | 16 | 5.2 | odd | 4 | |||
9025.2.a.cl.1.15 | 16 | 5.3 | odd | 4 |