Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.2 | ||
Root | \(-0.112075 - 1.40977i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.2.f.a.31.2 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16486 | + | 0.801943i | −0.823677 | + | 0.567059i | ||||
\(3\) | 0.305055 | − | 0.528371i | 0.176124 | − | 0.305055i | −0.764426 | − | 0.644712i | \(-0.776977\pi\) |
0.940550 | + | 0.339657i | \(0.110311\pi\) | |||||||
\(4\) | 0.713775 | − | 1.86829i | 0.356888 | − | 0.934147i | ||||
\(5\) | 1.59295 | − | 2.75907i | 0.712389 | − | 1.23389i | −0.251569 | − | 0.967839i | \(-0.580946\pi\) |
0.963958 | − | 0.266055i | \(-0.0857203\pi\) | |||||||
\(6\) | 0.0683782 | + | 0.860112i | 0.0279153 | + | 0.351139i | ||||
\(7\) | 2.36291i | 0.893097i | 0.894759 | + | 0.446548i | \(0.147347\pi\) | ||||
−0.894759 | + | 0.446548i | \(0.852653\pi\) | |||||||
\(8\) | 0.666820 | + | 2.74870i | 0.235757 | + | 0.971812i | ||||
\(9\) | 1.31388 | + | 2.27571i | 0.437961 | + | 0.758571i | ||||
\(10\) | 0.357061 | + | 4.49138i | 0.112913 | + | 1.42030i | ||||
\(11\) | − | 5.46750i | − | 1.64851i | −0.566216 | − | 0.824257i | \(-0.691593\pi\) | ||
0.566216 | − | 0.824257i | \(-0.308407\pi\) | |||||||
\(12\) | −0.769412 | − | 0.947071i | −0.222110 | − | 0.273396i | ||||
\(13\) | −2.31924 | + | 1.33901i | −0.643241 | + | 0.371375i | −0.785862 | − | 0.618402i | \(-0.787780\pi\) |
0.142621 | + | 0.989777i | \(0.454447\pi\) | |||||||
\(14\) | −1.89492 | − | 2.75245i | −0.506439 | − | 0.735623i | ||||
\(15\) | −0.971875 | − | 1.68334i | −0.250937 | − | 0.434636i | ||||
\(16\) | −2.98105 | − | 2.66709i | −0.745262 | − | 0.666771i | ||||
\(17\) | −0.552780 | + | 0.957443i | −0.134069 | + | 0.232214i | −0.925241 | − | 0.379379i | \(-0.876138\pi\) |
0.791173 | + | 0.611593i | \(0.209471\pi\) | |||||||
\(18\) | −3.35547 | − | 1.59722i | −0.790893 | − | 0.376467i | ||||
\(19\) | −1.37952 | + | 4.13484i | −0.316484 | + | 0.948598i | ||||
\(20\) | −4.01775 | − | 4.94546i | −0.898396 | − | 1.10584i | ||||
\(21\) | 1.24849 | + | 0.720818i | 0.272444 | + | 0.157295i | ||||
\(22\) | 4.38462 | + | 6.36885i | 0.934805 | + | 1.35784i | ||||
\(23\) | −2.46168 | + | 1.42125i | −0.513296 | + | 0.296352i | −0.734187 | − | 0.678947i | \(-0.762437\pi\) |
0.220891 | + | 0.975298i | \(0.429103\pi\) | |||||||
\(24\) | 1.65575 | + | 0.486176i | 0.337978 | + | 0.0992403i | ||||
\(25\) | −2.57499 | − | 4.46001i | −0.514997 | − | 0.892001i | ||||
\(26\) | 1.62777 | − | 3.41965i | 0.319231 | − | 0.670649i | ||||
\(27\) | 3.43356 | 0.660788 | ||||||||
\(28\) | 4.41462 | + | 1.68659i | 0.834284 | + | 0.318735i | ||||
\(29\) | −5.63736 | + | 3.25473i | −1.04683 | + | 0.604389i | −0.921761 | − | 0.387759i | \(-0.873249\pi\) |
−0.125071 | + | 0.992148i | \(0.539916\pi\) | |||||||
\(30\) | 2.48203 | + | 1.18146i | 0.453155 | + | 0.215703i | ||||
\(31\) | −1.01504 | −0.182306 | −0.0911531 | − | 0.995837i | \(-0.529055\pi\) | ||||
−0.0911531 | + | 0.995837i | \(0.529055\pi\) | |||||||
\(32\) | 5.61134 | + | 0.716137i | 0.991954 | + | 0.126596i | ||||
\(33\) | −2.88887 | − | 1.66789i | −0.502887 | − | 0.290342i | ||||
\(34\) | −0.123906 | − | 1.55858i | −0.0212497 | − | 0.267294i | ||||
\(35\) | 6.51945 | + | 3.76400i | 1.10199 | + | 0.636233i | ||||
\(36\) | 5.18952 | − | 0.830373i | 0.864920 | − | 0.138396i | ||||
\(37\) | 0.450315i | 0.0740314i | 0.999315 | + | 0.0370157i | \(0.0117851\pi\) | ||||
−0.999315 | + | 0.0370157i | \(0.988215\pi\) | |||||||
\(38\) | −1.70896 | − | 5.92279i | −0.277231 | − | 0.960803i | ||||
\(39\) | 1.63389i | 0.261632i | ||||||||
\(40\) | 8.64607 | + | 2.53874i | 1.36706 | + | 0.401410i | ||||
\(41\) | 0.336089 | + | 0.194041i | 0.0524882 | + | 0.0303041i | 0.526014 | − | 0.850476i | \(-0.323686\pi\) |
−0.473526 | + | 0.880780i | \(0.657019\pi\) | |||||||
\(42\) | −2.03237 | + | 0.161572i | −0.313601 | + | 0.0249311i | ||||
\(43\) | 4.96197 | + | 2.86479i | 0.756693 | + | 0.436877i | 0.828107 | − | 0.560570i | \(-0.189418\pi\) |
−0.0714141 | + | 0.997447i | \(0.522751\pi\) | |||||||
\(44\) | −10.2149 | − | 3.90257i | −1.53995 | − | 0.588334i | ||||
\(45\) | 8.37180 | 1.24799 | ||||||||
\(46\) | 1.72774 | − | 3.62968i | 0.254741 | − | 0.535167i | ||||
\(47\) | −2.91563 | + | 1.68334i | −0.425288 | + | 0.245540i | −0.697337 | − | 0.716743i | \(-0.745632\pi\) |
0.272049 | + | 0.962283i | \(0.412299\pi\) | |||||||
\(48\) | −2.31859 | + | 0.761492i | −0.334660 | + | 0.109912i | ||||
\(49\) | 1.41665 | 0.202378 | ||||||||
\(50\) | 6.57616 | + | 3.13027i | 0.930009 | + | 0.442687i | ||||
\(51\) | 0.337257 | + | 0.584146i | 0.0472254 | + | 0.0817967i | ||||
\(52\) | 0.846255 | + | 5.28878i | 0.117355 | + | 0.733421i | ||||
\(53\) | −3.53036 | + | 2.03825i | −0.484932 | + | 0.279976i | −0.722470 | − | 0.691403i | \(-0.756993\pi\) |
0.237537 | + | 0.971378i | \(0.423660\pi\) | |||||||
\(54\) | −3.99960 | + | 2.75352i | −0.544276 | + | 0.374706i | ||||
\(55\) | −15.0852 | − | 8.70946i | −2.03409 | − | 1.17438i | ||||
\(56\) | −6.49494 | + | 1.57564i | −0.867922 | + | 0.210553i | ||||
\(57\) | 1.76390 | + | 1.99025i | 0.233634 | + | 0.263616i | ||||
\(58\) | 3.95660 | − | 8.31213i | 0.519527 | − | 1.09144i | ||||
\(59\) | 6.82450 | − | 11.8204i | 0.888474 | − | 1.53888i | 0.0467951 | − | 0.998905i | \(-0.485099\pi\) |
0.841679 | − | 0.539978i | \(-0.181567\pi\) | |||||||
\(60\) | −3.83867 | + | 0.614225i | −0.495570 | + | 0.0792961i | ||||
\(61\) | −6.77885 | − | 11.7413i | −0.867943 | − | 1.50332i | −0.864095 | − | 0.503329i | \(-0.832108\pi\) |
−0.00384839 | − | 0.999993i | \(-0.501225\pi\) | |||||||
\(62\) | 1.18237 | − | 0.814002i | 0.150161 | − | 0.103378i | ||||
\(63\) | −5.37731 | + | 3.10459i | −0.677477 | + | 0.391142i | ||||
\(64\) | −7.11070 | + | 3.66578i | −0.888838 | + | 0.458222i | ||||
\(65\) | 8.53193i | 1.05826i | ||||||||
\(66\) | 4.70267 | − | 0.373858i | 0.578858 | − | 0.0460188i | ||||
\(67\) | 4.27064 | + | 7.39696i | 0.521742 | + | 0.903683i | 0.999680 | + | 0.0252897i | \(0.00805083\pi\) |
−0.477939 | + | 0.878393i | \(0.658616\pi\) | |||||||
\(68\) | 1.39422 | + | 1.71616i | 0.169075 | + | 0.208114i | ||||
\(69\) | 1.73424i | 0.208778i | ||||||||
\(70\) | −10.6127 | + | 0.843703i | −1.26846 | + | 0.100842i | ||||
\(71\) | −1.07447 | + | 1.86103i | −0.127516 | + | 0.220864i | −0.922714 | − | 0.385486i | \(-0.874034\pi\) |
0.795198 | + | 0.606350i | \(0.207367\pi\) | |||||||
\(72\) | −5.37912 | + | 5.12896i | −0.633936 | + | 0.604454i | ||||
\(73\) | 3.91944 | − | 6.78867i | 0.458736 | − | 0.794554i | −0.540158 | − | 0.841563i | \(-0.681636\pi\) |
0.998894 | + | 0.0470092i | \(0.0149690\pi\) | |||||||
\(74\) | −0.361127 | − | 0.524552i | −0.0419802 | − | 0.0609779i | ||||
\(75\) | −3.14205 | −0.362813 | ||||||||
\(76\) | 6.74043 | + | 5.52870i | 0.773181 | + | 0.634186i | ||||
\(77\) | 12.9192 | 1.47228 | ||||||||
\(78\) | −1.31029 | − | 1.90325i | −0.148361 | − | 0.215500i | ||||
\(79\) | 5.57208 | − | 9.65112i | 0.626908 | − | 1.08584i | −0.361261 | − | 0.932465i | \(-0.617654\pi\) |
0.988169 | − | 0.153371i | \(-0.0490131\pi\) | |||||||
\(80\) | −12.1073 | + | 3.97639i | −1.35364 | + | 0.444574i | ||||
\(81\) | −2.89422 | + | 5.01294i | −0.321581 | + | 0.556994i | ||||
\(82\) | −0.547104 | + | 0.0434943i | −0.0604176 | + | 0.00480315i | ||||
\(83\) | − | 4.14868i | − | 0.455376i | −0.973734 | − | 0.227688i | \(-0.926883\pi\) | ||
0.973734 | − | 0.227688i | \(-0.0731167\pi\) | |||||||
\(84\) | 2.23785 | − | 1.81805i | 0.244169 | − | 0.198366i | ||||
\(85\) | 1.76110 | + | 3.05032i | 0.191018 | + | 0.330854i | ||||
\(86\) | −8.07738 | + | 0.642145i | −0.871006 | + | 0.0692443i | ||||
\(87\) | 3.97149i | 0.425788i | ||||||||
\(88\) | 15.0285 | − | 3.64584i | 1.60205 | − | 0.388648i | ||||
\(89\) | 4.19126 | − | 2.41982i | 0.444272 | − | 0.256501i | −0.261136 | − | 0.965302i | \(-0.584097\pi\) |
0.705408 | + | 0.708801i | \(0.250764\pi\) | |||||||
\(90\) | −9.75194 | + | 6.71371i | −1.02794 | + | 0.707687i | ||||
\(91\) | −3.16397 | − | 5.48016i | −0.331674 | − | 0.574477i | ||||
\(92\) | 0.898230 | + | 5.61360i | 0.0936470 | + | 0.585258i | ||||
\(93\) | −0.309642 | + | 0.536316i | −0.0321084 | + | 0.0556134i | ||||
\(94\) | 2.04634 | − | 4.29901i | 0.211064 | − | 0.443409i | ||||
\(95\) | 9.21082 | + | 10.3928i | 0.945010 | + | 1.06628i | ||||
\(96\) | 2.09015 | − | 2.74641i | 0.213325 | − | 0.280304i | ||||
\(97\) | −0.641491 | − | 0.370365i | −0.0651335 | − | 0.0376048i | 0.467080 | − | 0.884215i | \(-0.345306\pi\) |
−0.532213 | + | 0.846610i | \(0.678639\pi\) | |||||||
\(98\) | −1.65019 | + | 1.13607i | −0.166694 | + | 0.114760i | ||||
\(99\) | 12.4425 | − | 7.18366i | 1.25051 | − | 0.721985i | ||||
\(100\) | −10.1706 | + | 1.62739i | −1.01706 | + | 0.162739i | ||||
\(101\) | 2.69851 | + | 4.67396i | 0.268512 | + | 0.465076i | 0.968478 | − | 0.249100i | \(-0.0801348\pi\) |
−0.699966 | + | 0.714176i | \(0.746801\pi\) | |||||||
\(102\) | −0.861307 | − | 0.409985i | −0.0852821 | − | 0.0405945i | ||||
\(103\) | −7.54816 | −0.743743 | −0.371871 | − | 0.928284i | \(-0.621284\pi\) | ||||
−0.371871 | + | 0.928284i | \(0.621284\pi\) | |||||||
\(104\) | −5.22706 | − | 5.48201i | −0.512556 | − | 0.537555i | ||||
\(105\) | 3.97758 | − | 2.29646i | 0.388172 | − | 0.224111i | ||||
\(106\) | 2.47779 | − | 5.20542i | 0.240665 | − | 0.505595i | ||||
\(107\) | −18.4008 | −1.77887 | −0.889437 | − | 0.457058i | \(-0.848903\pi\) | ||||
−0.889437 | + | 0.457058i | \(0.848903\pi\) | |||||||
\(108\) | 2.45079 | − | 6.41490i | 0.235827 | − | 0.617274i | ||||
\(109\) | 4.23847 | + | 2.44708i | 0.405971 | + | 0.234388i | 0.689057 | − | 0.724707i | \(-0.258025\pi\) |
−0.283086 | + | 0.959095i | \(0.591358\pi\) | |||||||
\(110\) | 24.5566 | − | 1.95223i | 2.34138 | − | 0.186138i | ||||
\(111\) | 0.237933 | + | 0.137371i | 0.0225836 | + | 0.0130387i | ||||
\(112\) | 6.30209 | − | 7.04396i | 0.595491 | − | 0.665591i | ||||
\(113\) | − | 17.8362i | − | 1.67789i | −0.544220 | − | 0.838943i | \(-0.683174\pi\) | ||
0.544220 | − | 0.838943i | \(-0.316826\pi\) | |||||||
\(114\) | −3.65076 | − | 0.903810i | −0.341925 | − | 0.0846496i | ||||
\(115\) | 9.05594i | 0.844471i | ||||||||
\(116\) | 2.05699 | + | 12.8554i | 0.190987 | + | 1.19359i | ||||
\(117\) | −6.09442 | − | 3.51861i | −0.563429 | − | 0.325296i | ||||
\(118\) | 1.52972 | + | 19.2419i | 0.140822 | + | 1.77136i | ||||
\(119\) | −2.26235 | − | 1.30617i | −0.207390 | − | 0.119736i | ||||
\(120\) | 3.97892 | − | 3.79388i | 0.363224 | − | 0.346332i | ||||
\(121\) | −18.8936 | −1.71760 | ||||||||
\(122\) | 17.3122 | + | 8.24068i | 1.56738 | + | 0.746076i | ||||
\(123\) | 0.205051 | − | 0.118386i | 0.0184888 | − | 0.0106745i | ||||
\(124\) | −0.724509 | + | 1.89639i | −0.0650628 | + | 0.170301i | ||||
\(125\) | −0.477794 | −0.0427352 | ||||||||
\(126\) | 3.77408 | − | 7.92869i | 0.336222 | − | 0.706344i | ||||
\(127\) | 4.84855 | + | 8.39793i | 0.430239 | + | 0.745196i | 0.996894 | − | 0.0787596i | \(-0.0250959\pi\) |
−0.566655 | + | 0.823955i | \(0.691763\pi\) | |||||||
\(128\) | 5.34319 | − | 9.97248i | 0.472276 | − | 0.881451i | ||||
\(129\) | 3.02735 | − | 1.74784i | 0.266543 | − | 0.153889i | ||||
\(130\) | −6.84212 | − | 9.93846i | −0.600094 | − | 0.871661i | ||||
\(131\) | 6.81626 | + | 3.93537i | 0.595539 | + | 0.343835i | 0.767285 | − | 0.641307i | \(-0.221607\pi\) |
−0.171745 | + | 0.985141i | \(0.554941\pi\) | |||||||
\(132\) | −5.17811 | + | 4.20676i | −0.450697 | + | 0.366151i | ||||
\(133\) | −9.77027 | − | 3.25969i | −0.847190 | − | 0.282651i | ||||
\(134\) | −10.9066 | − | 5.19158i | −0.942188 | − | 0.448485i | ||||
\(135\) | 5.46949 | − | 9.47343i | 0.470739 | − | 0.815343i | ||||
\(136\) | −3.00033 | − | 0.880984i | −0.257276 | − | 0.0755437i | ||||
\(137\) | 5.32438 | + | 9.22210i | 0.454893 | + | 0.787897i | 0.998682 | − | 0.0513247i | \(-0.0163443\pi\) |
−0.543790 | + | 0.839222i | \(0.683011\pi\) | |||||||
\(138\) | −1.39076 | − | 2.02014i | −0.118390 | − | 0.171966i | ||||
\(139\) | −3.86571 | + | 2.23187i | −0.327885 | + | 0.189305i | −0.654902 | − | 0.755714i | \(-0.727290\pi\) |
0.327017 | + | 0.945019i | \(0.393957\pi\) | |||||||
\(140\) | 11.6857 | − | 9.49359i | 0.987621 | − | 0.802355i | ||||
\(141\) | 2.05404i | 0.172982i | ||||||||
\(142\) | −0.240842 | − | 3.02949i | −0.0202110 | − | 0.254229i | ||||
\(143\) | 7.32106 | + | 12.6804i | 0.612218 | + | 1.06039i | ||||
\(144\) | 2.15277 | − | 10.2882i | 0.179397 | − | 0.857354i | ||||
\(145\) | 20.7385i | 1.72224i | ||||||||
\(146\) | 0.878545 | + | 11.0510i | 0.0727089 | + | 0.914587i | ||||
\(147\) | 0.432155 | − | 0.748514i | 0.0356435 | − | 0.0617364i | ||||
\(148\) | 0.841321 | + | 0.321424i | 0.0691562 | + | 0.0264209i | ||||
\(149\) | −4.00960 | + | 6.94483i | −0.328479 | + | 0.568942i | −0.982210 | − | 0.187785i | \(-0.939869\pi\) |
0.653731 | + | 0.756727i | \(0.273203\pi\) | |||||||
\(150\) | 3.66003 | − | 2.51974i | 0.298840 | − | 0.205736i | ||||
\(151\) | 5.53975 | 0.450818 | 0.225409 | − | 0.974264i | \(-0.427628\pi\) | ||||
0.225409 | + | 0.974264i | \(0.427628\pi\) | |||||||
\(152\) | −12.2853 | − | 1.03469i | −0.996472 | − | 0.0839247i | ||||
\(153\) | −2.90515 | −0.234868 | ||||||||
\(154\) | −15.0490 | + | 10.3605i | −1.21269 | + | 0.834871i | ||||
\(155\) | −1.61691 | + | 2.80056i | −0.129873 | + | 0.224947i | ||||
\(156\) | 3.05259 | + | 1.16623i | 0.244403 | + | 0.0933732i | ||||
\(157\) | 1.42480 | − | 2.46782i | 0.113711 | − | 0.196954i | −0.803553 | − | 0.595234i | \(-0.797059\pi\) |
0.917264 | + | 0.398280i | \(0.130393\pi\) | |||||||
\(158\) | 1.24898 | + | 15.7106i | 0.0993638 | + | 1.24987i | ||||
\(159\) | 2.48712i | 0.197241i | ||||||||
\(160\) | 10.9145 | − | 14.3413i | 0.862864 | − | 1.13378i | ||||
\(161\) | −3.35829 | − | 5.81674i | −0.264671 | − | 0.458423i | ||||
\(162\) | −0.648742 | − | 8.16036i | −0.0509700 | − | 0.641138i | ||||
\(163\) | − | 8.60401i | − | 0.673918i | −0.941519 | − | 0.336959i | \(-0.890602\pi\) | ||
0.941519 | − | 0.336959i | \(-0.109398\pi\) | |||||||
\(164\) | 0.602417 | − | 0.489411i | 0.0470409 | − | 0.0382166i | ||||
\(165\) | −9.20365 | + | 5.31373i | −0.716503 | + | 0.413673i | ||||
\(166\) | 3.32700 | + | 4.83261i | 0.258225 | + | 0.375083i | ||||
\(167\) | −9.00563 | − | 15.5982i | −0.696877 | − | 1.20703i | −0.969544 | − | 0.244918i | \(-0.921239\pi\) |
0.272667 | − | 0.962108i | \(-0.412094\pi\) | |||||||
\(168\) | −1.14879 | + | 3.91239i | −0.0886312 | + | 0.301848i | ||||
\(169\) | −2.91409 | + | 5.04735i | −0.224161 | + | 0.388257i | ||||
\(170\) | −4.49761 | − | 2.14088i | −0.344951 | − | 0.164198i | ||||
\(171\) | −11.2222 | + | 2.29330i | −0.858186 | + | 0.175373i | ||||
\(172\) | 8.89401 | − | 7.22560i | 0.678162 | − | 0.550947i | ||||
\(173\) | −15.3081 | − | 8.83813i | −1.16385 | − | 0.671951i | −0.211629 | − | 0.977350i | \(-0.567877\pi\) |
−0.952224 | + | 0.305399i | \(0.901210\pi\) | |||||||
\(174\) | −3.18491 | − | 4.62621i | −0.241447 | − | 0.350712i | ||||
\(175\) | 10.5386 | − | 6.08447i | 0.796644 | − | 0.459942i | ||||
\(176\) | −14.5823 | + | 16.2989i | −1.09918 | + | 1.22858i | ||||
\(177\) | −4.16370 | − | 7.21173i | −0.312963 | − | 0.542067i | ||||
\(178\) | −2.94165 | + | 6.17989i | −0.220486 | + | 0.463203i | ||||
\(179\) | −14.9607 | −1.11822 | −0.559108 | − | 0.829095i | \(-0.688856\pi\) | ||||
−0.559108 | + | 0.829095i | \(0.688856\pi\) | |||||||
\(180\) | 5.97559 | − | 15.6410i | 0.445394 | − | 1.16581i | ||||
\(181\) | 15.1591 | − | 8.75213i | 1.12677 | − | 0.650541i | 0.183649 | − | 0.982992i | \(-0.441209\pi\) |
0.943121 | + | 0.332451i | \(0.107876\pi\) | |||||||
\(182\) | 8.08034 | + | 3.84627i | 0.598955 | + | 0.285104i | ||||
\(183\) | −8.27169 | −0.611461 | ||||||||
\(184\) | −5.54809 | − | 5.81870i | −0.409011 | − | 0.428960i | ||||
\(185\) | 1.24245 | + | 0.717330i | 0.0913469 | + | 0.0527392i | ||||
\(186\) | −0.0694065 | − | 0.873046i | −0.00508913 | − | 0.0640149i | ||||
\(187\) | 5.23482 | + | 3.02233i | 0.382808 | + | 0.221014i | ||||
\(188\) | 1.06387 | + | 6.64877i | 0.0775906 | + | 0.484912i | ||||
\(189\) | 8.11319i | 0.590148i | ||||||||
\(190\) | −19.0637 | − | 4.71956i | −1.38303 | − | 0.342393i | ||||
\(191\) | 18.6529i | 1.34967i | 0.737967 | + | 0.674837i | \(0.235786\pi\) | ||||
−0.737967 | + | 0.674837i | \(0.764214\pi\) | |||||||
\(192\) | −0.232265 | + | 4.87535i | −0.0167623 | + | 0.351848i | ||||
\(193\) | −6.44722 | − | 3.72230i | −0.464081 | − | 0.267937i | 0.249678 | − | 0.968329i | \(-0.419675\pi\) |
−0.713759 | + | 0.700392i | \(0.753009\pi\) | |||||||
\(194\) | 1.04425 | − | 0.0830174i | 0.0749731 | − | 0.00596030i | ||||
\(195\) | 4.50802 | + | 2.60271i | 0.322826 | + | 0.186384i | ||||
\(196\) | 1.01117 | − | 2.64671i | 0.0722262 | − | 0.189051i | ||||
\(197\) | 14.1748 | 1.00991 | 0.504955 | − | 0.863146i | \(-0.331509\pi\) | ||||
0.504955 | + | 0.863146i | \(0.331509\pi\) | |||||||
\(198\) | −8.73278 | + | 18.3461i | −0.620612 | + | 1.30380i | ||||
\(199\) | 5.81457 | − | 3.35704i | 0.412184 | − | 0.237974i | −0.279544 | − | 0.960133i | \(-0.590183\pi\) |
0.691728 | + | 0.722159i | \(0.256850\pi\) | |||||||
\(200\) | 10.5422 | − | 10.0519i | 0.745444 | − | 0.710776i | ||||
\(201\) | 5.21112 | 0.367564 | ||||||||
\(202\) | −6.89162 | − | 3.28043i | −0.484893 | − | 0.230810i | ||||
\(203\) | −7.69065 | − | 13.3206i | −0.539778 | − | 0.934922i | ||||
\(204\) | 1.33208 | − | 0.213146i | 0.0932644 | − | 0.0149232i | ||||
\(205\) | 1.07075 | − | 0.618195i | 0.0747841 | − | 0.0431766i | ||||
\(206\) | 8.79252 | − | 6.05319i | 0.612604 | − | 0.421746i | ||||
\(207\) | −6.46872 | − | 3.73472i | −0.449607 | − | 0.259581i | ||||
\(208\) | 10.4850 | + | 2.19394i | 0.727006 | + | 0.152123i | ||||
\(209\) | 22.6073 | + | 7.54254i | 1.56378 | + | 0.521728i | ||||
\(210\) | −2.79168 | + | 5.86483i | −0.192644 | + | 0.404712i | ||||
\(211\) | −3.81983 | + | 6.61614i | −0.262968 | + | 0.455474i | −0.967029 | − | 0.254665i | \(-0.918035\pi\) |
0.704061 | + | 0.710139i | \(0.251368\pi\) | |||||||
\(212\) | 1.28817 | + | 8.05061i | 0.0884722 | + | 0.552918i | ||||
\(213\) | 0.655543 | + | 1.13543i | 0.0449171 | + | 0.0777986i | ||||
\(214\) | 21.4343 | − | 14.7564i | 1.46522 | − | 1.00873i | ||||
\(215\) | 15.8083 | − | 9.12695i | 1.07812 | − | 0.622453i | ||||
\(216\) | 2.28957 | + | 9.43782i | 0.155785 | + | 0.642162i | ||||
\(217\) | − | 2.39845i | − | 0.162817i | ||||||
\(218\) | −6.89962 | + | 0.548514i | −0.467301 | + | 0.0371501i | ||||
\(219\) | −2.39129 | − | 4.14184i | −0.161589 | − | 0.279880i | ||||
\(220\) | −27.0393 | + | 21.9671i | −1.82299 | + | 1.48102i | ||||
\(221\) | − | 2.96072i | − | 0.199160i | ||||||
\(222\) | −0.387322 | + | 0.0307918i | −0.0259953 | + | 0.00206661i | ||||
\(223\) | 0.858455 | − | 1.48689i | 0.0574864 | − | 0.0995693i | −0.835850 | − | 0.548958i | \(-0.815025\pi\) |
0.893336 | + | 0.449388i | \(0.148358\pi\) | |||||||
\(224\) | −1.69217 | + | 13.2591i | −0.113063 | + | 0.885911i | ||||
\(225\) | 6.76646 | − | 11.7199i | 0.451097 | − | 0.781323i | ||||
\(226\) | 14.3036 | + | 20.7766i | 0.951460 | + | 1.38204i | ||||
\(227\) | 17.2724 | 1.14641 | 0.573203 | − | 0.819413i | \(-0.305701\pi\) | ||||
0.573203 | + | 0.819413i | \(0.305701\pi\) | |||||||
\(228\) | 4.97741 | − | 1.87489i | 0.329637 | − | 0.124168i | ||||
\(229\) | 16.7940 | 1.10978 | 0.554891 | − | 0.831923i | \(-0.312760\pi\) | ||||
0.554891 | + | 0.831923i | \(0.312760\pi\) | |||||||
\(230\) | −7.26235 | − | 10.5489i | −0.478865 | − | 0.695571i | ||||
\(231\) | 3.94108 | − | 6.82614i | 0.259304 | − | 0.449127i | ||||
\(232\) | −12.7054 | − | 13.3251i | −0.834150 | − | 0.874835i | ||||
\(233\) | −1.66348 | + | 2.88123i | −0.108978 | + | 0.188756i | −0.915357 | − | 0.402644i | \(-0.868091\pi\) |
0.806378 | + | 0.591400i | \(0.201425\pi\) | |||||||
\(234\) | 9.92084 | − | 0.788699i | 0.648546 | − | 0.0515589i | ||||
\(235\) | 10.7259i | 0.699680i | ||||||||
\(236\) | −17.2128 | − | 21.1873i | −1.12046 | − | 1.37917i | ||||
\(237\) | −3.39958 | − | 5.88825i | −0.220827 | − | 0.382483i | ||||
\(238\) | 3.68279 | − | 0.292779i | 0.238720 | − | 0.0189780i | ||||
\(239\) | − | 4.83178i | − | 0.312542i | −0.987714 | − | 0.156271i | \(-0.950053\pi\) | ||
0.987714 | − | 0.156271i | \(-0.0499473\pi\) | |||||||
\(240\) | −1.59240 | + | 7.61019i | −0.102789 | + | 0.491235i | ||||
\(241\) | 23.1768 | − | 13.3811i | 1.49295 | − | 0.861954i | 0.492980 | − | 0.870041i | \(-0.335908\pi\) |
0.999967 | + | 0.00808705i | \(0.00257422\pi\) | |||||||
\(242\) | 22.0083 | − | 15.1516i | 1.41475 | − | 0.973980i | ||||
\(243\) | 6.91613 | + | 11.9791i | 0.443670 | + | 0.768459i | ||||
\(244\) | −26.7748 | + | 4.28423i | −1.71408 | + | 0.274270i | ||||
\(245\) | 2.25665 | − | 3.90863i | 0.144172 | − | 0.249713i | ||||
\(246\) | −0.143916 | + | 0.302342i | −0.00917573 | + | 0.0192766i | ||||
\(247\) | −2.33717 | − | 11.4369i | −0.148710 | − | 0.727712i | ||||
\(248\) | −0.676848 | − | 2.79003i | −0.0429799 | − | 0.177167i | ||||
\(249\) | −2.19204 | − | 1.26557i | −0.138915 | − | 0.0802025i | ||||
\(250\) | 0.556561 | − | 0.383164i | 0.0352000 | − | 0.0242334i | ||||
\(251\) | −12.7393 | + | 7.35502i | −0.804096 | + | 0.464245i | −0.844901 | − | 0.534922i | \(-0.820341\pi\) |
0.0408056 | + | 0.999167i | \(0.487008\pi\) | |||||||
\(252\) | 1.96210 | + | 12.2624i | 0.123601 | + | 0.772457i | ||||
\(253\) | 7.77070 | + | 13.4592i | 0.488540 | + | 0.846176i | ||||
\(254\) | −12.3825 | − | 5.89412i | −0.776948 | − | 0.369830i | ||||
\(255\) | 2.14893 | 0.134571 | ||||||||
\(256\) | 1.77331 | + | 15.9014i | 0.110832 | + | 0.993839i | ||||
\(257\) | −8.75454 | + | 5.05443i | −0.546093 | + | 0.315287i | −0.747545 | − | 0.664212i | \(-0.768767\pi\) |
0.201452 | + | 0.979498i | \(0.435434\pi\) | |||||||
\(258\) | −2.12475 | + | 4.46374i | −0.132281 | + | 0.277900i | ||||
\(259\) | −1.06406 | −0.0661172 | ||||||||
\(260\) | 15.9402 | + | 6.08988i | 0.988567 | + | 0.377678i | ||||
\(261\) | −14.8137 | − | 8.55268i | −0.916943 | − | 0.529397i | ||||
\(262\) | −11.0959 | + | 0.882115i | −0.685507 | + | 0.0544972i | ||||
\(263\) | 13.6702 | + | 7.89252i | 0.842943 | + | 0.486673i | 0.858264 | − | 0.513209i | \(-0.171543\pi\) |
−0.0153204 | + | 0.999883i | \(0.504877\pi\) | |||||||
\(264\) | 2.65817 | − | 9.05281i | 0.163599 | − | 0.557162i | ||||
\(265\) | 12.9874i | 0.797807i | ||||||||
\(266\) | 13.9950 | − | 4.03813i | 0.858091 | − | 0.247594i | ||||
\(267\) | − | 2.95272i | − | 0.180703i | ||||||
\(268\) | 16.8680 | − | 2.69904i | 1.03038 | − | 0.164870i | ||||
\(269\) | −0.0632774 | − | 0.0365332i | −0.00385809 | − | 0.00222747i | 0.498070 | − | 0.867137i | \(-0.334042\pi\) |
−0.501928 | + | 0.864910i | \(0.667376\pi\) | |||||||
\(270\) | 1.22599 | + | 15.4214i | 0.0746113 | + | 0.938516i | ||||
\(271\) | 6.48453 | + | 3.74384i | 0.393907 | + | 0.227422i | 0.683852 | − | 0.729621i | \(-0.260304\pi\) |
−0.289945 | + | 0.957043i | \(0.593637\pi\) | |||||||
\(272\) | 4.20145 | − | 1.37987i | 0.254750 | − | 0.0836671i | ||||
\(273\) | −3.86074 | −0.233663 | ||||||||
\(274\) | −13.5977 | − | 6.47256i | −0.821469 | − | 0.391022i | ||||
\(275\) | −24.3851 | + | 14.0787i | −1.47048 | + | 0.848980i | ||||
\(276\) | 3.24007 | + | 1.23786i | 0.195029 | + | 0.0745103i | ||||
\(277\) | −19.0585 | −1.14511 | −0.572557 | − | 0.819865i | \(-0.694048\pi\) | ||||
−0.572557 | + | 0.819865i | \(0.694048\pi\) | |||||||
\(278\) | 2.71316 | − | 5.69988i | 0.162725 | − | 0.341856i | ||||
\(279\) | −1.33364 | − | 2.30993i | −0.0798430 | − | 0.138292i | ||||
\(280\) | −5.99882 | + | 20.4299i | −0.358498 | + | 1.22092i | ||||
\(281\) | −7.58314 | + | 4.37813i | −0.452372 | + | 0.261177i | −0.708832 | − | 0.705378i | \(-0.750777\pi\) |
0.256459 | + | 0.966555i | \(0.417444\pi\) | |||||||
\(282\) | −1.64722 | − | 2.39266i | −0.0980908 | − | 0.142481i | ||||
\(283\) | −17.9331 | − | 10.3537i | −1.06601 | − | 0.615461i | −0.138921 | − | 0.990303i | \(-0.544363\pi\) |
−0.927088 | + | 0.374843i | \(0.877697\pi\) | |||||||
\(284\) | 2.71003 | + | 3.33578i | 0.160810 | + | 0.197942i | ||||
\(285\) | 8.30106 | − | 1.69635i | 0.491712 | − | 0.100483i | ||||
\(286\) | −18.6970 | − | 8.89981i | −1.10557 | − | 0.526257i | ||||
\(287\) | −0.458501 | + | 0.794148i | −0.0270645 | + | 0.0468771i | ||||
\(288\) | 5.74292 | + | 13.7107i | 0.338405 | + | 0.807912i | ||||
\(289\) | 7.88887 | + | 13.6639i | 0.464051 | + | 0.803760i | ||||
\(290\) | −16.6311 | − | 24.1574i | −0.976612 | − | 1.41857i | ||||
\(291\) | −0.391380 | + | 0.225963i | −0.0229431 | + | 0.0132462i | ||||
\(292\) | −9.88564 | − | 12.1683i | −0.578513 | − | 0.712094i | ||||
\(293\) | − | 19.7950i | − | 1.15643i | −0.815883 | − | 0.578217i | \(-0.803749\pi\) | ||
0.815883 | − | 0.578217i | \(-0.196251\pi\) | |||||||
\(294\) | 0.0968677 | + | 1.21847i | 0.00564944 | + | 0.0710629i | ||||
\(295\) | −21.7422 | − | 37.6586i | −1.26588 | − | 2.19257i | ||||
\(296\) | −1.23778 | + | 0.300279i | −0.0719446 | + | 0.0174534i | ||||
\(297\) | − | 18.7730i | − | 1.08932i | ||||||
\(298\) | −0.898753 | − | 11.3052i | −0.0520634 | − | 0.654892i | ||||
\(299\) | 3.80615 | − | 6.59245i | 0.220115 | − | 0.381251i | ||||
\(300\) | −2.24272 | + | 5.87027i | −0.129483 | + | 0.338920i | ||||
\(301\) | −6.76926 | + | 11.7247i | −0.390173 | + | 0.675800i | ||||
\(302\) | −6.45300 | + | 4.44256i | −0.371329 | + | 0.255641i | ||||
\(303\) | 3.29278 | 0.189165 | ||||||||
\(304\) | 15.1404 | − | 8.64687i | 0.868361 | − | 0.495932i | ||||
\(305\) | −43.1935 | −2.47325 | ||||||||
\(306\) | 3.38408 | − | 2.32977i | 0.193455 | − | 0.133184i | ||||
\(307\) | 4.47582 | − | 7.75235i | 0.255449 | − | 0.442450i | −0.709569 | − | 0.704636i | \(-0.751110\pi\) |
0.965017 | + | 0.262186i | \(0.0844435\pi\) | |||||||
\(308\) | 9.22143 | − | 24.1369i | 0.525440 | − | 1.37533i | ||||
\(309\) | −2.30260 | + | 3.98823i | −0.130991 | + | 0.226882i | ||||
\(310\) | −0.362430 | − | 4.55892i | −0.0205846 | − | 0.258929i | ||||
\(311\) | 0.249429i | 0.0141438i | 0.999975 | + | 0.00707191i | \(0.00225108\pi\) | ||||
−0.999975 | + | 0.00707191i | \(0.997749\pi\) | |||||||
\(312\) | −4.49108 | + | 1.08951i | −0.254257 | + | 0.0616815i | ||||
\(313\) | 11.8686 | + | 20.5570i | 0.670852 | + | 1.16195i | 0.977663 | + | 0.210179i | \(0.0674046\pi\) |
−0.306811 | + | 0.951770i | \(0.599262\pi\) | |||||||
\(314\) | 0.319369 | + | 4.01727i | 0.0180231 | + | 0.226707i | ||||
\(315\) | 19.7818i | 1.11458i | ||||||||
\(316\) | −14.0539 | − | 17.2990i | −0.790595 | − | 0.973146i | ||||
\(317\) | −14.6359 | + | 8.45005i | −0.822035 | + | 0.474602i | −0.851118 | − | 0.524975i | \(-0.824075\pi\) |
0.0290826 | + | 0.999577i | \(0.490741\pi\) | |||||||
\(318\) | −1.99453 | − | 2.89713i | −0.111848 | − | 0.162463i | ||||
\(319\) | 17.7953 | + | 30.8223i | 0.996343 | + | 1.72572i | ||||
\(320\) | −1.21285 | + | 25.4583i | −0.0678005 | + | 1.42316i | ||||
\(321\) | −5.61326 | + | 9.72245i | −0.313302 | + | 0.542654i | ||||
\(322\) | 8.57662 | + | 4.08250i | 0.477956 | + | 0.227509i | ||||
\(323\) | −3.19630 | − | 3.60647i | −0.177847 | − | 0.200669i | ||||
\(324\) | 7.29983 | + | 8.98538i | 0.405546 | + | 0.499188i | ||||
\(325\) | 11.9440 | + | 6.89588i | 0.662535 | + | 0.382515i | ||||
\(326\) | 6.89993 | + | 10.0224i | 0.382152 | + | 0.555091i | ||||
\(327\) | 2.58593 | − | 1.49299i | 0.143002 | − | 0.0825624i | ||||
\(328\) | −0.309249 | + | 1.05320i | −0.0170754 | + | 0.0581531i | ||||
\(329\) | −3.97758 | − | 6.88937i | −0.219291 | − | 0.379823i | ||||
\(330\) | 6.45961 | − | 13.5705i | 0.355590 | − | 0.747033i | ||||
\(331\) | 9.72419 | 0.534490 | 0.267245 | − | 0.963629i | \(-0.413887\pi\) | ||||
0.267245 | + | 0.963629i | \(0.413887\pi\) | |||||||
\(332\) | −7.75095 | − | 2.96122i | −0.425388 | − | 0.162518i | ||||
\(333\) | −1.02479 | + | 0.591661i | −0.0561580 | + | 0.0324228i | ||||
\(334\) | 22.9991 | + | 10.9477i | 1.25846 | + | 0.599029i | ||||
\(335\) | 27.2117 | 1.48673 | ||||||||
\(336\) | −1.79934 | − | 5.47863i | −0.0981619 | − | 0.298884i | ||||
\(337\) | 8.24404 | + | 4.75970i | 0.449081 | + | 0.259277i | 0.707442 | − | 0.706771i | \(-0.249849\pi\) |
−0.258361 | + | 0.966049i | \(0.583182\pi\) | |||||||
\(338\) | −0.653194 | − | 8.21636i | −0.0355291 | − | 0.446911i | ||||
\(339\) | −9.42411 | − | 5.44101i | −0.511847 | − | 0.295515i | ||||
\(340\) | 6.95593 | − | 1.11302i | 0.377238 | − | 0.0603618i | ||||
\(341\) | 5.54972i | 0.300534i | ||||||||
\(342\) | 11.2332 | − | 11.6710i | 0.607421 | − | 0.631093i | ||||
\(343\) | 19.8878i | 1.07384i | ||||||||
\(344\) | −4.56572 | + | 15.5493i | −0.246167 | + | 0.838360i | ||||
\(345\) | 4.78489 | + | 2.76256i | 0.257610 | + | 0.148731i | ||||
\(346\) | 24.9194 | − | 1.98107i | 1.33967 | − | 0.106503i | ||||
\(347\) | −15.9269 | − | 9.19538i | −0.854999 | − | 0.493634i | 0.00733524 | − | 0.999973i | \(-0.497665\pi\) |
−0.862334 | + | 0.506339i | \(0.830998\pi\) | |||||||
\(348\) | 7.41991 | + | 2.83475i | 0.397749 | + | 0.151959i | ||||
\(349\) | 5.86074 | 0.313718 | 0.156859 | − | 0.987621i | \(-0.449863\pi\) | ||||
0.156859 | + | 0.987621i | \(0.449863\pi\) | |||||||
\(350\) | −7.39655 | + | 15.5389i | −0.395362 | + | 0.830588i | ||||
\(351\) | −7.96324 | + | 4.59758i | −0.425046 | + | 0.245401i | ||||
\(352\) | 3.91548 | − | 30.6800i | 0.208696 | − | 1.63525i | ||||
\(353\) | −12.9828 | −0.691006 | −0.345503 | − | 0.938418i | \(-0.612292\pi\) | ||||
−0.345503 | + | 0.938418i | \(0.612292\pi\) | |||||||
\(354\) | 10.6335 | + | 5.06158i | 0.565164 | + | 0.269020i | ||||
\(355\) | 3.42315 | + | 5.92906i | 0.181682 | + | 0.314682i | ||||
\(356\) | −1.52933 | − | 9.55772i | −0.0810542 | − | 0.506558i | ||||
\(357\) | −1.38028 | + | 0.796908i | −0.0730524 | + | 0.0421768i | ||||
\(358\) | 17.4271 | − | 11.9976i | 0.921049 | − | 0.634095i | ||||
\(359\) | 29.5172 | + | 17.0418i | 1.55786 | + | 0.899430i | 0.997462 | + | 0.0712049i | \(0.0226844\pi\) |
0.560396 | + | 0.828225i | \(0.310649\pi\) | |||||||
\(360\) | 5.58249 | + | 23.0116i | 0.294223 | + | 1.21282i | ||||
\(361\) | −15.1938 | − | 11.4082i | −0.799676 | − | 0.600432i | ||||
\(362\) | −10.6395 | + | 22.3517i | −0.559199 | + | 1.17478i | ||||
\(363\) | −5.76358 | + | 9.98282i | −0.302510 | + | 0.523962i | ||||
\(364\) | −12.4969 | + | 1.99963i | −0.655016 | + | 0.104809i | ||||
\(365\) | −12.4870 | − | 21.6281i | −0.653597 | − | 1.13206i | ||||
\(366\) | 9.63532 | − | 6.63342i | 0.503646 | − | 0.346735i | ||||
\(367\) | 11.3161 | − | 6.53337i | 0.590697 | − | 0.341039i | −0.174676 | − | 0.984626i | \(-0.555888\pi\) |
0.765373 | + | 0.643587i | \(0.222554\pi\) | |||||||
\(368\) | 11.1290 | + | 2.32869i | 0.580139 | + | 0.121391i | ||||
\(369\) | 1.01979i | 0.0530880i | ||||||||
\(370\) | −2.02253 | + | 0.160790i | −0.105147 | + | 0.00835907i | ||||
\(371\) | −4.81621 | − | 8.34193i | −0.250045 | − | 0.433091i | ||||
\(372\) | 0.780982 | + | 0.961313i | 0.0404920 | + | 0.0498417i | ||||
\(373\) | − | 11.8954i | − | 0.615922i | −0.951399 | − | 0.307961i | \(-0.900353\pi\) | ||
0.951399 | − | 0.307961i | \(-0.0996466\pi\) | |||||||
\(374\) | −8.52154 | + | 0.677456i | −0.440638 | + | 0.0350304i | ||||
\(375\) | −0.145754 | + | 0.252453i | −0.00752668 | + | 0.0130366i | ||||
\(376\) | −6.57119 | − | 6.89170i | −0.338883 | − | 0.355412i | ||||
\(377\) | 8.71626 | − | 15.0970i | 0.448910 | − | 0.777535i | ||||
\(378\) | −6.50632 | − | 9.45069i | −0.334649 | − | 0.486091i | ||||
\(379\) | −8.93709 | −0.459068 | −0.229534 | − | 0.973301i | \(-0.573720\pi\) | ||||
−0.229534 | + | 0.973301i | \(0.573720\pi\) | |||||||
\(380\) | 25.9913 | − | 9.79039i | 1.33332 | − | 0.502237i | ||||
\(381\) | 5.91630 | 0.303101 | ||||||||
\(382\) | −14.9585 | − | 21.7279i | −0.765345 | − | 1.11169i | ||||
\(383\) | −6.14400 | + | 10.6417i | −0.313944 | + | 0.543767i | −0.979212 | − | 0.202838i | \(-0.934984\pi\) |
0.665269 | + | 0.746604i | \(0.268317\pi\) | |||||||
\(384\) | −3.63920 | − | 5.86534i | −0.185712 | − | 0.299314i | ||||
\(385\) | 20.5797 | − | 35.6451i | 1.04884 | − | 1.81664i | ||||
\(386\) | 10.4952 | − | 0.834356i | 0.534189 | − | 0.0424676i | ||||
\(387\) | 15.0560i | 0.765340i | ||||||||
\(388\) | −1.14983 | + | 0.934136i | −0.0583738 | + | 0.0474236i | ||||
\(389\) | −3.61961 | − | 6.26935i | −0.183522 | − | 0.317869i | 0.759556 | − | 0.650442i | \(-0.225416\pi\) |
−0.943077 | + | 0.332573i | \(0.892083\pi\) | |||||||
\(390\) | −7.33842 | + | 0.583398i | −0.371595 | + | 0.0295415i | ||||
\(391\) | − | 3.14256i | − | 0.158926i | ||||||
\(392\) | 0.944648 | + | 3.89393i | 0.0477119 | + | 0.196673i | ||||
\(393\) | 4.15867 | − | 2.40101i | 0.209777 | − | 0.121115i | ||||
\(394\) | −16.5115 | + | 11.3673i | −0.831839 | + | 0.572679i | ||||
\(395\) | −17.7521 | − | 30.7475i | −0.893205 | − | 1.54708i | ||||
\(396\) | −4.54007 | − | 28.3737i | −0.228147 | − | 1.42583i | ||||
\(397\) | −14.7425 | + | 25.5347i | −0.739904 | + | 1.28155i | 0.212633 | + | 0.977132i | \(0.431796\pi\) |
−0.952538 | + | 0.304420i | \(0.901537\pi\) | |||||||
\(398\) | −4.08097 | + | 8.57342i | −0.204561 | + | 0.429747i | ||||
\(399\) | −4.70279 | + | 4.16794i | −0.235434 | + | 0.208658i | ||||
\(400\) | −4.21906 | + | 20.1632i | −0.210953 | + | 1.00816i | ||||
\(401\) | 3.17820 | + | 1.83494i | 0.158712 | + | 0.0916323i | 0.577252 | − | 0.816566i | \(-0.304125\pi\) |
−0.418541 | + | 0.908198i | \(0.637458\pi\) | |||||||
\(402\) | −6.07020 | + | 4.17902i | −0.302754 | + | 0.208431i | ||||
\(403\) | 2.35412 | − | 1.35915i | 0.117267 | − | 0.0677040i | ||||
\(404\) | 10.6585 | − | 1.70546i | 0.530278 | − | 0.0848497i | ||||
\(405\) | 9.22072 | + | 15.9707i | 0.458181 | + | 0.793593i | ||||
\(406\) | 19.6408 | + | 9.34910i | 0.974759 | + | 0.463988i | ||||
\(407\) | 2.46210 | 0.122042 | ||||||||
\(408\) | −1.38075 | + | 1.31654i | −0.0683574 | + | 0.0651783i | ||||
\(409\) | 0.913849 | − | 0.527611i | 0.0451869 | − | 0.0260887i | −0.477236 | − | 0.878775i | \(-0.658361\pi\) |
0.522423 | + | 0.852686i | \(0.325028\pi\) | |||||||
\(410\) | −0.751506 | + | 1.57878i | −0.0371142 | + | 0.0779706i | ||||
\(411\) | 6.49692 | 0.320469 | ||||||||
\(412\) | −5.38769 | + | 14.1022i | −0.265433 | + | 0.694765i | ||||
\(413\) | 27.9305 | + | 16.1257i | 1.37437 | + | 0.793494i | ||||
\(414\) | 10.5302 | − | 0.837139i | 0.517529 | − | 0.0411431i | ||||
\(415\) | −11.4465 | − | 6.60864i | −0.561886 | − | 0.324405i | ||||
\(416\) | −13.9730 | + | 5.85277i | −0.685081 | + | 0.286955i | ||||
\(417\) | 2.72337i | 0.133364i | ||||||||
\(418\) | −32.3829 | + | 9.34376i | −1.58390 | + | 0.457018i | ||||
\(419\) | − | 12.9932i | − | 0.634757i | −0.948299 | − | 0.317379i | \(-0.897197\pi\) | ||
0.948299 | − | 0.317379i | \(-0.102803\pi\) | |||||||
\(420\) | −1.45136 | − | 9.07044i | −0.0708191 | − | 0.442592i | ||||
\(421\) | 28.8014 | + | 16.6285i | 1.40369 | + | 0.810424i | 0.994770 | − | 0.102144i | \(-0.0325704\pi\) |
0.408925 | + | 0.912568i | \(0.365904\pi\) | |||||||
\(422\) | −0.856217 | − | 10.7701i | −0.0416800 | − | 0.524282i | ||||
\(423\) | −7.66158 | − | 4.42342i | −0.372519 | − | 0.215074i | ||||
\(424\) | −7.95666 | − | 8.34475i | −0.386410 | − | 0.405257i | ||||
\(425\) | 5.69360 | 0.276180 | ||||||||
\(426\) | −1.67417 | − | 0.796908i | −0.0811136 | − | 0.0386103i | ||||
\(427\) | 27.7437 | − | 16.0178i | 1.34261 | − | 0.775157i | ||||
\(428\) | −13.1340 | + | 34.3781i | −0.634858 | + | 1.66173i | ||||
\(429\) | 8.93330 | 0.431304 | ||||||||
\(430\) | −11.0951 | + | 23.3090i | −0.535055 | + | 1.12406i | ||||
\(431\) | −4.67046 | − | 8.08948i | −0.224968 | − | 0.389656i | 0.731342 | − | 0.682011i | \(-0.238894\pi\) |
−0.956310 | + | 0.292355i | \(0.905561\pi\) | |||||||
\(432\) | −10.2356 | − | 9.15759i | −0.492461 | − | 0.440595i | ||||
\(433\) | −11.4412 | + | 6.60558i | −0.549829 | + | 0.317444i | −0.749053 | − | 0.662510i | \(-0.769491\pi\) |
0.199224 | + | 0.979954i | \(0.436158\pi\) | |||||||
\(434\) | 1.92342 | + | 2.79384i | 0.0923269 | + | 0.134109i | ||||
\(435\) | 10.9576 | + | 6.32639i | 0.525378 | + | 0.303327i | ||||
\(436\) | 7.59718 | − | 6.17204i | 0.363839 | − | 0.295587i | ||||
\(437\) | −2.48071 | − | 12.1393i | −0.118669 | − | 0.580702i | ||||
\(438\) | 6.10703 | + | 2.90696i | 0.291805 | + | 0.138900i | ||||
\(439\) | −9.90270 | + | 17.1520i | −0.472630 | + | 0.818619i | −0.999509 | − | 0.0313210i | \(-0.990029\pi\) |
0.526879 | + | 0.849940i | \(0.323362\pi\) | |||||||
\(440\) | 13.8806 | − | 47.2724i | 0.661730 | − | 2.25362i | ||||
\(441\) | 1.86131 | + | 3.22388i | 0.0886336 | + | 0.153518i | ||||
\(442\) | 2.37433 | + | 3.44881i | 0.112935 | + | 0.164043i | ||||
\(443\) | 8.86172 | − | 5.11632i | 0.421033 | − | 0.243084i | −0.274486 | − | 0.961591i | \(-0.588508\pi\) |
0.695519 | + | 0.718508i | \(0.255174\pi\) | |||||||
\(444\) | 0.426480 | − | 0.346478i | 0.0202399 | − | 0.0164431i | ||||
\(445\) | − | 15.4186i | − | 0.730914i | ||||||
\(446\) | 0.192423 | + | 2.42044i | 0.00911150 | + | 0.114611i | ||||
\(447\) | 2.44630 | + | 4.23711i | 0.115706 | + | 0.200408i | ||||
\(448\) | −8.66191 | − | 16.8020i | −0.409237 | − | 0.793818i | ||||
\(449\) | 9.69618i | 0.457591i | 0.973475 | + | 0.228795i | \(0.0734787\pi\) | ||||
−0.973475 | + | 0.228795i | \(0.926521\pi\) | |||||||
\(450\) | 1.51671 | + | 19.0782i | 0.0714982 | + | 0.899357i | ||||
\(451\) | 1.06092 | − | 1.83757i | 0.0499567 | − | 0.0865276i | ||||
\(452\) | −33.3232 | − | 12.7310i | −1.56739 | − | 0.598817i | ||||
\(453\) | 1.68993 | − | 2.92704i | 0.0793997 | − | 0.137524i | ||||
\(454\) | −20.1198 | + | 13.8514i | −0.944269 | + | 0.650080i | ||||
\(455\) | −20.1602 | −0.945125 | ||||||||
\(456\) | −4.29440 | + | 6.17557i | −0.201104 | + | 0.289198i | ||||
\(457\) | −8.85003 | −0.413987 | −0.206993 | − | 0.978342i | \(-0.566368\pi\) | ||||
−0.206993 | + | 0.978342i | \(0.566368\pi\) | |||||||
\(458\) | −19.5626 | + | 13.4679i | −0.914102 | + | 0.629312i | ||||
\(459\) | −1.89800 | + | 3.28743i | −0.0885911 | + | 0.153444i | ||||
\(460\) | 16.9192 | + | 6.46391i | 0.788860 | + | 0.301381i | ||||
\(461\) | −4.85595 | + | 8.41075i | −0.226164 | + | 0.391728i | −0.956668 | − | 0.291181i | \(-0.905952\pi\) |
0.730504 | + | 0.682909i | \(0.239285\pi\) | |||||||
\(462\) | 0.883394 | + | 11.1120i | 0.0410992 | + | 0.516976i | ||||
\(463\) | − | 38.4094i | − | 1.78504i | −0.451013 | − | 0.892518i | \(-0.648937\pi\) | ||
0.451013 | − | 0.892518i | \(-0.351063\pi\) | |||||||
\(464\) | 25.4859 | + | 5.33281i | 1.18315 | + | 0.247569i | ||||
\(465\) | 0.986490 | + | 1.70865i | 0.0457474 | + | 0.0792368i | ||||
\(466\) | −0.372870 | − | 4.69024i | −0.0172729 | − | 0.217271i | ||||
\(467\) | 21.7838i | 1.00803i | 0.863694 | + | 0.504016i | \(0.168145\pi\) | ||||
−0.863694 | + | 0.504016i | \(0.831855\pi\) | |||||||
\(468\) | −10.9239 | + | 8.87467i | −0.504955 | + | 0.410232i | ||||
\(469\) | −17.4784 | + | 10.0911i | −0.807076 | + | 0.465966i | ||||
\(470\) | −8.60156 | − | 12.4941i | −0.396760 | − | 0.576311i | ||||
\(471\) | −0.869284 | − | 1.50564i | −0.0400545 | − | 0.0693764i | ||||
\(472\) | 37.0414 | + | 10.8764i | 1.70497 | + | 0.500628i | ||||
\(473\) | 15.6633 | − | 27.1296i | 0.720198 | − | 1.24742i | ||||
\(474\) | 8.68206 | + | 4.13269i | 0.398780 | + | 0.189821i | ||||
\(475\) | 21.9937 | − | 4.49448i | 1.00914 | − | 0.206221i | ||||
\(476\) | −4.05512 | + | 3.29443i | −0.185866 | + | 0.151000i | ||||
\(477\) | −9.27696 | − | 5.35605i | −0.424763 | − | 0.245237i | ||||
\(478\) | 3.87481 | + | 5.62833i | 0.177230 | + | 0.257434i | ||||
\(479\) | −10.5544 | + | 6.09359i | −0.482243 | + | 0.278423i | −0.721351 | − | 0.692570i | \(-0.756478\pi\) |
0.239108 | + | 0.970993i | \(0.423145\pi\) | |||||||
\(480\) | −4.24802 | − | 10.1418i | −0.193895 | − | 0.462907i | ||||
\(481\) | −0.602978 | − | 1.04439i | −0.0274934 | − | 0.0476200i | ||||
\(482\) | −16.2667 | + | 34.1735i | −0.740928 | + | 1.55656i | ||||
\(483\) | −4.09786 | −0.186459 | ||||||||
\(484\) | −13.4858 | + | 35.2988i | −0.612990 | + | 1.60449i | ||||
\(485\) | −2.04373 | + | 1.17995i | −0.0928008 | + | 0.0535786i | ||||
\(486\) | −17.6628 | − | 8.40756i | −0.801202 | − | 0.381375i | ||||
\(487\) | −27.8697 | −1.26290 | −0.631448 | − | 0.775418i | \(-0.717539\pi\) | ||||
−0.631448 | + | 0.775418i | \(0.717539\pi\) | |||||||
\(488\) | 27.7531 | − | 26.4624i | 1.25632 | − | 1.19790i | ||||
\(489\) | −4.54611 | − | 2.62470i | −0.205582 | − | 0.118693i | ||||
\(490\) | 0.505829 | + | 6.36269i | 0.0228510 | + | 0.287437i | ||||
\(491\) | −14.9996 | − | 8.66002i | −0.676922 | − | 0.390821i | 0.121772 | − | 0.992558i | \(-0.461142\pi\) |
−0.798694 | + | 0.601737i | \(0.794476\pi\) | |||||||
\(492\) | −0.0748200 | − | 0.467597i | −0.00337315 | − | 0.0210809i | ||||
\(493\) | − | 7.19660i | − | 0.324119i | ||||||
\(494\) | 11.8942 | + | 11.4480i | 0.535145 | + | 0.515072i | ||||
\(495\) | − | 45.7729i | − | 2.05734i | ||||||
\(496\) | 3.02588 | + | 2.70719i | 0.135866 | + | 0.121557i | ||||
\(497\) | −4.39745 | − | 2.53887i | −0.197253 | − | 0.113884i | ||||
\(498\) | 3.56833 | − | 0.283679i | 0.159901 | − | 0.0127120i | ||||
\(499\) | −1.00693 | − | 0.581349i | −0.0450762 | − | 0.0260248i | 0.477293 | − | 0.878744i | \(-0.341618\pi\) |
−0.522369 | + | 0.852720i | \(0.674952\pi\) | |||||||
\(500\) | −0.341038 | + | 0.892660i | −0.0152517 | + | 0.0399210i | ||||
\(501\) | −10.9889 | −0.490946 | ||||||||
\(502\) | 8.94110 | − | 18.7837i | 0.399061 | − | 0.838358i | ||||
\(503\) | 11.1928 | − | 6.46214i | 0.499060 | − | 0.288133i | −0.229265 | − | 0.973364i | \(-0.573632\pi\) |
0.728325 | + | 0.685231i | \(0.240299\pi\) | |||||||
\(504\) | −12.1193 | − | 12.7104i | −0.539836 | − | 0.566166i | ||||
\(505\) | 17.1944 | 0.765140 | ||||||||
\(506\) | −19.8453 | − | 9.44642i | −0.882231 | − | 0.419944i | ||||
\(507\) | 1.77791 | + | 3.07944i | 0.0789599 | + | 0.136763i | ||||
\(508\) | 19.1506 | − | 3.06428i | 0.849670 | − | 0.135955i | ||||
\(509\) | 25.6884 | − | 14.8312i | 1.13862 | − | 0.657381i | 0.192530 | − | 0.981291i | \(-0.438331\pi\) |
0.946088 | + | 0.323910i | \(0.104998\pi\) | |||||||
\(510\) | −2.50320 | + | 1.72332i | −0.110843 | + | 0.0763100i | ||||
\(511\) | 16.0410 | + | 9.26130i | 0.709614 | + | 0.409696i | ||||
\(512\) | −14.8177 | − | 17.1008i | −0.654855 | − | 0.755754i | ||||
\(513\) | −4.73667 | + | 14.1972i | −0.209129 | + | 0.626822i | ||||
\(514\) | 6.14440 | − | 12.9083i | 0.271018 | − | 0.569362i | ||||
\(515\) | −12.0239 | + | 20.8259i | −0.529834 | + | 0.917700i | ||||
\(516\) | −1.10463 | − | 6.90354i | −0.0486288 | − | 0.303911i | ||||
\(517\) | 9.20365 | + | 15.9412i | 0.404776 | + | 0.701093i | ||||
\(518\) | 1.23947 | − | 0.853312i | 0.0544592 | − | 0.0374924i | ||||
\(519\) | −9.33962 | + | 5.39223i | −0.409964 | + | 0.236693i | ||||
\(520\) | −23.4517 | + | 5.68927i | −1.02843 | + | 0.249491i | ||||
\(521\) | 35.2430i | 1.54402i | 0.635608 | + | 0.772012i | \(0.280749\pi\) | ||||
−0.635608 | + | 0.772012i | \(0.719251\pi\) | |||||||
\(522\) | 24.1145 | − | 1.91709i | 1.05546 | − | 0.0839086i | ||||
\(523\) | 11.4242 | + | 19.7872i | 0.499543 | + | 0.865234i | 1.00000 | 0.000527203i | \(-0.000167814\pi\) | |
−0.500457 | + | 0.865762i | \(0.666834\pi\) | |||||||
\(524\) | 12.2177 | − | 9.92581i | 0.533733 | − | 0.433611i | ||||
\(525\) | − | 7.42439i | − | 0.324027i | ||||||
\(526\) | −22.2532 | + | 1.76911i | −0.970286 | + | 0.0771369i | ||||
\(527\) | 0.561093 | − | 0.971841i | 0.0244416 | − | 0.0423341i | ||||
\(528\) | 4.16346 | + | 12.6769i | 0.181191 | + | 0.551692i | ||||
\(529\) | −7.46008 | + | 12.9212i | −0.324351 | + | 0.561793i | ||||
\(530\) | −10.4151 | − | 15.1284i | −0.452404 | − | 0.657135i | ||||
\(531\) | 35.8664 | 1.55647 | ||||||||
\(532\) | −13.0638 | + | 15.9271i | −0.566389 | + | 0.690525i | ||||
\(533\) | −1.03929 | −0.0450168 | ||||||||
\(534\) | 2.36791 | + | 3.43949i | 0.102470 | + | 0.148841i | ||||
\(535\) | −29.3116 | + | 50.7692i | −1.26725 | + | 2.19494i | ||||
\(536\) | −17.4843 | + | 16.6712i | −0.755206 | + | 0.720084i | ||||
\(537\) | −4.56384 | + | 7.90481i | −0.196944 | + | 0.341118i | ||||
\(538\) | 0.103007 | − | 0.00818894i | 0.00444093 | − | 0.000353050i | ||||
\(539\) | − | 7.74551i | − | 0.333623i | ||||||
\(540\) | −13.7952 | − | 16.9805i | −0.593650 | − | 0.730725i | ||||
\(541\) | −18.2188 | − | 31.5560i | −0.783289 | − | 1.35670i | −0.930016 | − | 0.367520i | \(-0.880207\pi\) |
0.146727 | − | 0.989177i | \(-0.453126\pi\) | |||||||
\(542\) | −10.5559 | + | 0.839184i | −0.453414 | + | 0.0360460i | ||||
\(543\) | − | 10.6795i | − | 0.458302i | ||||||
\(544\) | −3.78750 | + | 4.97667i | −0.162388 | + | 0.213373i | ||||
\(545\) | 13.5033 | − | 7.79616i | 0.578420 | − | 0.333951i | ||||
\(546\) | 4.49720 | − | 3.09609i | 0.192463 | − | 0.132501i | ||||
\(547\) | 14.8588 | + | 25.7362i | 0.635317 | + | 1.10040i | 0.986448 | + | 0.164075i | \(0.0524638\pi\) |
−0.351131 | + | 0.936326i | \(0.614203\pi\) | |||||||
\(548\) | 21.0300 | − | 3.36500i | 0.898357 | − | 0.143746i | ||||
\(549\) | 17.8132 | − | 30.8534i | 0.760250 | − | 1.31679i | ||||
\(550\) | 17.1148 | − | 35.9551i | 0.729776 | − | 1.53313i | ||||
\(551\) | −5.68094 | − | 27.7996i | −0.242016 | − | 1.18430i | ||||
\(552\) | −4.76691 | + | 1.15643i | −0.202893 | + | 0.0492208i | ||||
\(553\) | 22.8048 | + | 13.1663i | 0.969757 | + | 0.559889i | ||||
\(554\) | 22.2004 | − | 15.2838i | 0.943204 | − | 0.649347i | ||||
\(555\) | 0.758033 | − | 0.437650i | 0.0321767 | − | 0.0185772i | ||||
\(556\) | 1.41054 | + | 8.81534i | 0.0598202 | + | 0.373854i | ||||
\(557\) | −2.98070 | − | 5.16273i | −0.126296 | − | 0.218752i | 0.795943 | − | 0.605372i | \(-0.206976\pi\) |
−0.922239 | + | 0.386620i | \(0.873642\pi\) | |||||||
\(558\) | 3.40593 | + | 1.62123i | 0.144185 | + | 0.0686323i | ||||
\(559\) | −15.3440 | −0.648982 | ||||||||
\(560\) | −9.39587 | − | 28.6086i | −0.397048 | − | 1.20893i | ||||
\(561\) | 3.19382 | − | 1.84395i | 0.134843 | − | 0.0778517i | ||||
\(562\) | 5.32225 | − | 11.1811i | 0.224506 | − | 0.471647i | ||||
\(563\) | 35.3916 | 1.49158 | 0.745789 | − | 0.666182i | \(-0.232073\pi\) | ||||
0.745789 | + | 0.666182i | \(0.232073\pi\) | |||||||
\(564\) | 3.83756 | + | 1.46613i | 0.161590 | + | 0.0617350i | ||||
\(565\) | −49.2113 | − | 28.4121i | −2.07033 | − | 1.19531i | ||||
\(566\) | 29.1925 | − | 2.32078i | 1.22705 | − | 0.0975495i | ||||
\(567\) | −11.8451 | − | 6.83880i | −0.497449 | − | 0.287203i | ||||
\(568\) | −5.83189 | − | 1.71241i | −0.244701 | − | 0.0718512i | ||||
\(569\) | 30.2541i | 1.26832i | 0.773203 | + | 0.634158i | \(0.218653\pi\) | ||||
−0.773203 | + | 0.634158i | \(0.781347\pi\) | |||||||
\(570\) | −8.30916 | + | 8.63298i | −0.348032 | + | 0.361596i | ||||
\(571\) | − | 25.4945i | − | 1.06691i | −0.845828 | − | 0.533456i | \(-0.820893\pi\) | ||
0.845828 | − | 0.533456i | \(-0.179107\pi\) | |||||||
\(572\) | 28.9164 | − | 4.62690i | 1.20906 | − | 0.193461i | ||||
\(573\) | 9.85562 | + | 5.69015i | 0.411725 | + | 0.237709i | ||||
\(574\) | −0.102773 | − | 1.29276i | −0.00428968 | − | 0.0539587i | ||||
\(575\) | 12.6776 | + | 7.31941i | 0.528692 | + | 0.305240i | ||||
\(576\) | −17.6849 | − | 11.3655i | −0.736870 | − | 0.473563i | ||||
\(577\) | −12.0785 | −0.502836 | −0.251418 | − | 0.967879i | \(-0.580897\pi\) | ||||
−0.251418 | + | 0.967879i | \(0.580897\pi\) | |||||||
\(578\) | −20.1471 | − | 9.59007i | −0.838008 | − | 0.398894i | ||||
\(579\) | −3.93351 | + | 2.27102i | −0.163471 | + | 0.0943802i | ||||
\(580\) | 38.7457 | + | 14.8026i | 1.60883 | + | 0.614646i | ||||
\(581\) | 9.80296 | 0.406695 | ||||||||
\(582\) | 0.274691 | − | 0.577079i | 0.0113863 | − | 0.0239207i | ||||
\(583\) | 11.1442 | + | 19.3022i | 0.461544 | + | 0.799417i | ||||
\(584\) | 21.2736 | + | 6.24655i | 0.880307 | + | 0.258484i | ||||
\(585\) | −19.4162 | + | 11.2100i | −0.802762 | + | 0.463475i | ||||
\(586\) | 15.8744 | + | 23.0583i | 0.655766 | + | 0.952528i | ||||
\(587\) | 18.8754 | + | 10.8977i | 0.779070 | + | 0.449796i | 0.836101 | − | 0.548576i | \(-0.184830\pi\) |
−0.0570304 | + | 0.998372i | \(0.518163\pi\) | |||||||
\(588\) | −1.08998 | − | 1.34166i | −0.0449502 | − | 0.0553293i | ||||
\(589\) | 1.40027 | − | 4.19702i | 0.0576970 | − | 0.172935i | ||||
\(590\) | 55.5265 | + | 26.4308i | 2.28599 | + | 1.08814i | ||||
\(591\) | 4.32408 | − | 7.48953i | 0.177869 | − | 0.308078i | ||||
\(592\) | 1.20103 | − | 1.34241i | 0.0493620 | − | 0.0551728i | ||||
\(593\) | −10.3212 | − | 17.8768i | −0.423839 | − | 0.734111i | 0.572472 | − | 0.819924i | \(-0.305984\pi\) |
−0.996311 | + | 0.0858135i | \(0.972651\pi\) | |||||||
\(594\) | 15.0549 | + | 21.8678i | 0.617708 | + | 0.897247i | ||||
\(595\) | −7.20764 | + | 4.16133i | −0.295484 | + | 0.170598i | ||||
\(596\) | 10.1130 | + | 12.4482i | 0.414246 | + | 0.509896i | ||||
\(597\) | − | 4.09633i | − | 0.167652i | ||||||
\(598\) | 0.853151 | + | 10.7316i | 0.0348879 | + | 0.438846i | ||||
\(599\) | 18.6426 | + | 32.2900i | 0.761717 | + | 1.31933i | 0.941965 | + | 0.335711i | \(0.108977\pi\) |
−0.180248 | + | 0.983621i | \(0.557690\pi\) | |||||||
\(600\) | −2.09518 | − | 8.63655i | −0.0855355 | − | 0.352586i | ||||
\(601\) | − | 32.9087i | − | 1.34238i | −0.741287 | − | 0.671188i | \(-0.765784\pi\) | ||
0.741287 | − | 0.671188i | \(-0.234216\pi\) | |||||||
\(602\) | −1.51733 | − | 19.0861i | −0.0618418 | − | 0.777893i | ||||
\(603\) | −11.2222 | + | 19.4375i | −0.457005 | + | 0.791556i | ||||
\(604\) | 3.95413 | − | 10.3499i | 0.160891 | − | 0.421131i | ||||
\(605\) | −30.0965 | + | 52.1287i | −1.22360 | + | 2.11933i | ||||
\(606\) | −3.83561 | + | 2.64062i | −0.155811 | + | 0.107268i | ||||
\(607\) | −43.4094 | −1.76193 | −0.880966 | − | 0.473180i | \(-0.843106\pi\) | ||||
−0.880966 | + | 0.473180i | \(0.843106\pi\) | |||||||
\(608\) | −10.7021 | + | 22.2141i | −0.434027 | + | 0.900900i | ||||
\(609\) | −9.38428 | −0.380270 | ||||||||
\(610\) | 50.3142 | − | 34.6387i | 2.03716 | − | 1.40248i | ||||
\(611\) | 4.50802 | − | 7.80813i | 0.182375 | − | 0.315883i | ||||
\(612\) | −2.07363 | + | 5.42768i | −0.0838214 | + | 0.219401i | ||||
\(613\) | −23.0269 | + | 39.8838i | −0.930048 | + | 1.61089i | −0.146814 | + | 0.989164i | \(0.546902\pi\) |
−0.783234 | + | 0.621727i | \(0.786431\pi\) | |||||||
\(614\) | 1.00326 | + | 12.6197i | 0.0404882 | + | 0.509290i | ||||
\(615\) | − | 0.754334i | − | 0.0304177i | ||||||
\(616\) | 8.61480 | + | 35.5111i | 0.347100 | + | 1.43078i | ||||
\(617\) | −4.97177 | − | 8.61136i | −0.200156 | − | 0.346680i | 0.748423 | − | 0.663222i | \(-0.230812\pi\) |
−0.948579 | + | 0.316542i | \(0.897478\pi\) | |||||||
\(618\) | −0.516130 | − | 6.49227i | −0.0207618 | − | 0.261157i | ||||
\(619\) | − | 4.75114i | − | 0.190964i | −0.995431 | − | 0.0954822i | \(-0.969561\pi\) | ||
0.995431 | − | 0.0954822i | \(-0.0304393\pi\) | |||||||
\(620\) | 4.07817 | + | 5.01983i | 0.163783 | + | 0.201601i | ||||
\(621\) | −8.45232 | + | 4.87995i | −0.339180 | + | 0.195826i | ||||
\(622\) | −0.200028 | − | 0.290549i | −0.00802038 | − | 0.0116499i | ||||
\(623\) | 5.71783 | + | 9.90358i | 0.229080 | + | 0.396778i | ||||
\(624\) | 4.35773 | − | 4.87071i | 0.174449 | − | 0.194984i | ||||
\(625\) | 12.1138 | − | 20.9818i | 0.484553 | − | 0.839270i | ||||
\(626\) | −30.3107 | − | 14.4280i | −1.21146 | − | 0.576658i | ||||
\(627\) | 10.8817 | − | 9.64413i | 0.434574 | − | 0.385149i | ||||
\(628\) | −3.59364 | − | 4.42342i | −0.143402 | − | 0.176514i | ||||
\(629\) | −0.431151 | − | 0.248925i | −0.0171911 | − | 0.00992530i | ||||
\(630\) | −15.8639 | − | 23.0430i | −0.632033 | − | 0.918054i | ||||
\(631\) | −17.8068 | + | 10.2807i | −0.708876 | + | 0.409270i | −0.810645 | − | 0.585538i | \(-0.800883\pi\) |
0.101769 | + | 0.994808i | \(0.467550\pi\) | |||||||
\(632\) | 30.2436 | + | 8.88041i | 1.20303 | + | 0.353244i | ||||
\(633\) | 2.33052 | + | 4.03657i | 0.0926297 | + | 0.160439i | ||||
\(634\) | 10.2723 | − | 21.5803i | 0.407964 | − | 0.857062i | ||||
\(635\) | 30.8940 | 1.22599 | ||||||||
\(636\) | 4.64667 | + | 1.77524i | 0.184252 | + | 0.0703930i | ||||
\(637\) | −3.28554 | + | 1.89691i | −0.130178 | + | 0.0751582i | ||||
\(638\) | −45.4466 | − | 21.6327i | −1.79925 | − | 0.856448i | ||||
\(639\) | −5.64689 | −0.223388 | ||||||||
\(640\) | −19.0033 | − | 30.6279i | −0.751173 | − | 1.21067i | ||||
\(641\) | 33.0540 | + | 19.0838i | 1.30556 | + | 0.753763i | 0.981351 | − | 0.192223i | \(-0.0615698\pi\) |
0.324205 | + | 0.945987i | \(0.394903\pi\) | |||||||
\(642\) | −1.25822 | − | 15.8268i | −0.0496578 | − | 0.624633i | ||||
\(643\) | −18.5705 | − | 10.7217i | −0.732350 | − | 0.422822i | 0.0869313 | − | 0.996214i | \(-0.472294\pi\) |
−0.819281 | + | 0.573392i | \(0.805627\pi\) | |||||||
\(644\) | −13.2644 | + | 2.12244i | −0.522692 | + | 0.0836358i | ||||
\(645\) | − | 11.1369i | − | 0.438515i | ||||||
\(646\) | 6.61542 | + | 1.63776i | 0.260280 | + | 0.0644370i | ||||
\(647\) | − | 23.8222i | − | 0.936547i | −0.883583 | − | 0.468274i | \(-0.844876\pi\) | ||
0.883583 | − | 0.468274i | \(-0.155124\pi\) | |||||||
\(648\) | −15.7090 | − | 4.61262i | −0.617108 | − | 0.181201i | ||||
\(649\) | −64.6280 | − | 37.3130i | −2.53687 | − | 1.46466i | ||||
\(650\) | −19.4432 | + | 1.54571i | −0.762623 | + | 0.0606279i | ||||
\(651\) | −1.26727 | − | 0.731658i | −0.0496682 | − | 0.0286759i | ||||
\(652\) | −16.0748 | − | 6.14133i | −0.629539 | − | 0.240513i | ||||
\(653\) | 16.6726 | 0.652450 | 0.326225 | − | 0.945292i | \(-0.394223\pi\) | ||||
0.326225 | + | 0.945292i | \(0.394223\pi\) | |||||||
\(654\) | −1.81494 | + | 3.81288i | −0.0709699 | + | 0.149096i | ||||
\(655\) | 21.7159 | − | 12.5377i | 0.848512 | − | 0.489888i | ||||
\(656\) | −0.484373 | − | 1.47482i | −0.0189116 | − | 0.0575821i | ||||
\(657\) | 20.5988 | 0.803634 | ||||||||
\(658\) | 10.1582 | + | 4.83533i | 0.396007 | + | 0.188501i | ||||
\(659\) | −7.26163 | − | 12.5775i | −0.282873 | − | 0.489950i | 0.689218 | − | 0.724554i | \(-0.257954\pi\) |
−0.972091 | + | 0.234604i | \(0.924621\pi\) | |||||||
\(660\) | 3.35827 | + | 20.9879i | 0.130721 | + | 0.816955i | ||||
\(661\) | 19.7070 | − | 11.3778i | 0.766513 | − | 0.442547i | −0.0651162 | − | 0.997878i | \(-0.520742\pi\) |
0.831629 | + | 0.555331i | \(0.187408\pi\) | |||||||
\(662\) | −11.3273 | + | 7.79825i | −0.440247 | + | 0.303087i | ||||
\(663\) | −1.56436 | − | 0.903182i | −0.0607546 | − | 0.0350767i | ||||
\(664\) | 11.4035 | − | 2.76642i | 0.442540 | − | 0.107358i | ||||
\(665\) | −24.5573 | + | 21.7644i | −0.952290 | + | 0.843985i | ||||
\(666\) | 0.719251 | − | 1.51102i | 0.0278704 | − | 0.0585509i | ||||
\(667\) | 9.25159 | − | 16.0242i | 0.358223 | − | 0.620461i | ||||
\(668\) | −35.5701 | + | 5.69155i | −1.37625 | + | 0.220213i | ||||
\(669\) | −0.523752 | − | 0.907165i | −0.0202494 | − | 0.0350730i | ||||
\(670\) | −31.6977 | + | 21.8222i | −1.22459 | + | 0.843065i | ||||
\(671\) | −64.1957 | + | 37.0634i | −2.47825 | + | 1.43082i | ||||
\(672\) | 6.48952 | + | 4.93885i | 0.250339 | + | 0.190520i | ||||
\(673\) | 11.1598i | 0.430180i | 0.976594 | + | 0.215090i | \(0.0690044\pi\) | ||||
−0.976594 | + | 0.215090i | \(0.930996\pi\) | |||||||
\(674\) | −13.4201 | + | 1.06689i | −0.516924 | + | 0.0410950i | ||||
\(675\) | −8.84136 | − | 15.3137i | −0.340304 | − | 0.589424i | ||||
\(676\) | 7.34993 | + | 9.04704i | 0.282689 | + | 0.347963i | ||||
\(677\) | 36.0612i | 1.38594i | 0.720965 | + | 0.692972i | \(0.243699\pi\) | ||||
−0.720965 | + | 0.692972i | \(0.756301\pi\) | |||||||
\(678\) | 15.3411 | − | 1.21961i | 0.589172 | − | 0.0468387i | ||||
\(679\) | 0.875139 | − | 1.51579i | 0.0335848 | − | 0.0581705i | ||||
\(680\) | −7.21007 | + | 6.87476i | −0.276494 | + | 0.263635i | ||||
\(681\) | 5.26902 | − | 9.12621i | 0.201909 | − | 0.349717i | ||||
\(682\) | −4.45056 | − | 6.46462i | −0.170421 | − | 0.247543i | ||||
\(683\) | −15.5917 | −0.596598 | −0.298299 | − | 0.954472i | \(-0.596419\pi\) | ||||
−0.298299 | + | 0.954472i | \(0.596419\pi\) | |||||||
\(684\) | −3.72559 | + | 22.6034i | −0.142451 | + | 0.864261i | ||||
\(685\) | 33.9259 | 1.29624 | ||||||||
\(686\) | −15.9489 | − | 23.1664i | −0.608931 | − | 0.884497i | ||||
\(687\) | 5.12311 | − | 8.87348i | 0.195459 | − | 0.338544i | ||||
\(688\) | −7.15122 | − | 21.7741i | −0.272638 | − | 0.830129i | ||||
\(689\) | 5.45850 | − | 9.45440i | 0.207952 | − | 0.360184i | ||||
\(690\) | −7.78913 | + | 0.619229i | −0.296527 | + | 0.0235737i | ||||
\(691\) | − | 22.9437i | − | 0.872818i | −0.899748 | − | 0.436409i | \(-0.856250\pi\) | ||
0.899748 | − | 0.436409i | \(-0.143750\pi\) | |||||||
\(692\) | −27.4388 | + | 22.2916i | −1.04307 | + | 0.847399i | ||||
\(693\) | 16.9744 | + | 29.4004i | 0.644802 | + | 1.11683i | ||||
\(694\) | 25.9267 | − | 2.06115i | 0.984163 | − | 0.0782402i | ||||
\(695\) | 14.2210i | 0.539435i | ||||||||
\(696\) | −10.9164 | + | 2.64827i | −0.413786 | + | 0.100382i | ||||
\(697\) | −0.371566 | + | 0.214524i | −0.0140741 | + | 0.00812567i | ||||
\(698\) | −6.82691 | + | 4.69998i | −0.258403 | + | 0.177897i | ||||
\(699\) | 1.01491 | + | 1.75787i | 0.0383873 | + | 0.0664887i | ||||
\(700\) | −3.84538 | − | 24.0322i | −0.145342 | − | 0.908330i | ||||
\(701\) | −9.13435 | + | 15.8212i | −0.345000 | + | 0.597557i | −0.985354 | − | 0.170523i | \(-0.945454\pi\) |
0.640354 | + | 0.768080i | \(0.278788\pi\) | |||||||
\(702\) | 5.58903 | − | 11.7416i | 0.210944 | − | 0.443157i | ||||
\(703\) | −1.86198 | − | 0.621220i | −0.0702260 | − | 0.0234297i | ||||
\(704\) | 20.0427 | + | 38.8778i | 0.755386 | + | 1.46526i | ||||
\(705\) | 5.66725 | + | 3.27199i | 0.213441 | + | 0.123230i | ||||
\(706\) | 15.1231 | − | 10.4115i | 0.569166 | − | 0.391842i | ||||
\(707\) | −11.0442 | + | 6.37634i | −0.415358 | + | 0.239807i | ||||
\(708\) | −16.4456 | + | 2.63145i | −0.618063 | + | 0.0988961i | ||||
\(709\) | −17.4758 | − | 30.2690i | −0.656318 | − | 1.13678i | −0.981562 | − | 0.191146i | \(-0.938780\pi\) |
0.325244 | − | 0.945630i | \(-0.394554\pi\) | |||||||
\(710\) | −8.74224 | − | 4.16133i | −0.328090 | − | 0.156172i | ||||
\(711\) | 29.2842 | 1.09824 | ||||||||
\(712\) | 9.44619 | + | 9.90692i | 0.354011 | + | 0.371278i | ||||
\(713\) | 2.49870 | − | 1.44262i | 0.0935770 | − | 0.0540267i | ||||
\(714\) | 0.968758 | − | 2.03519i | 0.0362548 | − | 0.0761651i | ||||
\(715\) | 46.6483 | 1.74455 | ||||||||
\(716\) | −10.6786 | + | 27.9510i | −0.399078 | + | 1.04458i | ||||
\(717\) | −2.55297 | − | 1.47396i | −0.0953425 | − | 0.0550460i | ||||
\(718\) | −48.0498 | + | 3.81992i | −1.79320 | + | 0.142558i | ||||
\(719\) | 3.07635 | + | 1.77613i | 0.114728 | + | 0.0662385i | 0.556266 | − | 0.831004i | \(-0.312234\pi\) |
−0.441538 | + | 0.897243i | \(0.645567\pi\) | |||||||
\(720\) | −24.9568 | − | 22.3283i | −0.930084 | − | 0.832127i | ||||
\(721\) | − | 17.8356i | − | 0.664234i | ||||||
\(722\) | 26.8474 | + | 1.10432i | 0.999155 | + | 0.0410985i | ||||
\(723\) | − | 16.3279i | − | 0.607241i | ||||||
\(724\) | −5.53134 | − | 34.5688i | −0.205571 | − | 1.28474i | ||||
\(725\) | 29.0323 | + | 16.7618i | 1.07823 | + | 0.622517i | ||||
\(726\) | −1.29191 | − | 16.2506i | −0.0479473 | − | 0.603116i | ||||
\(727\) | −6.15483 | − | 3.55349i | −0.228270 | − | 0.131792i | 0.381504 | − | 0.924367i | \(-0.375406\pi\) |
−0.609774 | + | 0.792576i | \(0.708740\pi\) | |||||||
\(728\) | 12.9535 | − | 12.3511i | 0.480089 | − | 0.457762i | ||||
\(729\) | −8.92615 | −0.330598 | ||||||||
\(730\) | 31.8900 | + | 15.1797i | 1.18030 | + | 0.561827i | ||||
\(731\) | −5.48575 | + | 3.16720i | −0.202898 | + | 0.117143i | ||||
\(732\) | −5.90413 | + | 15.4540i | −0.218223 | + | 0.571195i | ||||
\(733\) | −15.8748 | −0.586350 | −0.293175 | − | 0.956059i | \(-0.594712\pi\) | ||||
−0.293175 | + | 0.956059i | \(0.594712\pi\) | |||||||
\(734\) | −7.94226 | + | 16.6853i | −0.293154 | + | 0.615866i | ||||
\(735\) | −1.37680 | − | 2.38469i | −0.0507842 | − | 0.0879607i | ||||
\(736\) | −14.8311 | + | 6.21223i | −0.546683 | + | 0.228986i | ||||
\(737\) | 40.4429 | − | 23.3497i | 1.48973 | − | 0.860098i | ||||
\(738\) | −0.817811 | − | 1.18791i | −0.0301041 | − | 0.0437274i | ||||
\(739\) | −16.0186 | − | 9.24836i | −0.589255 | − | 0.340206i | 0.175548 | − | 0.984471i | \(-0.443830\pi\) |
−0.764803 | + | 0.644264i | \(0.777164\pi\) | |||||||
\(740\) | 2.22702 | − | 1.80925i | 0.0818667 | − | 0.0665095i | ||||
\(741\) | −6.75588 | − | 2.25399i | −0.248184 | − | 0.0828023i | ||||
\(742\) | 12.2999 | + | 5.85481i | 0.451545 | + | 0.214937i | ||||
\(743\) | −7.00831 | + | 12.1387i | −0.257110 | + | 0.445328i | −0.965466 | − | 0.260527i | \(-0.916104\pi\) |
0.708357 | + | 0.705855i | \(0.249437\pi\) | |||||||
\(744\) | −1.68065 | − | 0.493487i | −0.0616156 | − | 0.0180921i | ||||
\(745\) | 12.7742 | + | 22.1255i | 0.468010 | + | 0.810617i | ||||
\(746\) | 9.53945 | + | 13.8565i | 0.349264 | + | 0.507321i | ||||
\(747\) | 9.44119 | − | 5.45087i | 0.345435 | − | 0.199437i | ||||
\(748\) | 9.38308 | − | 7.62293i | 0.343079 | − | 0.278722i | ||||
\(749\) | − | 43.4795i | − | 1.58871i | ||||||
\(750\) | −0.0326707 | − | 0.410957i | −0.00119297 | − | 0.0150060i | ||||
\(751\) | −10.3122 | − | 17.8612i | −0.376297 | − | 0.651765i | 0.614223 | − | 0.789132i | \(-0.289469\pi\) |
−0.990520 | + | 0.137367i | \(0.956136\pi\) | |||||||
\(752\) | 13.1812 | + | 2.75811i | 0.480670 | + | 0.100578i | ||||
\(753\) | 8.97475i | 0.327058i | ||||||||
\(754\) | 1.95375 | + | 24.5758i | 0.0711515 | + | 0.894997i | ||||
\(755\) | 8.82454 | − | 15.2846i | 0.321158 | − | 0.556262i | ||||
\(756\) | 15.1578 | + | 5.79100i | 0.551285 | + | 0.210617i | ||||
\(757\) | 12.5598 | − | 21.7543i | 0.456495 | − | 0.790672i | −0.542278 | − | 0.840199i | \(-0.682438\pi\) |
0.998773 | + | 0.0495268i | \(0.0157713\pi\) | |||||||
\(758\) | 10.4104 | − | 7.16704i | 0.378123 | − | 0.260319i | ||||
\(759\) | 9.48196 | 0.344173 | ||||||||
\(760\) | −22.4247 | + | 32.2479i | −0.813430 | + | 1.16975i | ||||
\(761\) | 7.58718 | 0.275035 | 0.137518 | − | 0.990499i | \(-0.456088\pi\) | ||||
0.137518 | + | 0.990499i | \(0.456088\pi\) | |||||||
\(762\) | −6.89163 | + | 4.74453i | −0.249657 | + | 0.171876i | ||||
\(763\) | −5.78224 | + | 10.0151i | −0.209331 | + | 0.362572i | ||||
\(764\) | 34.8490 | + | 13.3139i | 1.26079 | + | 0.481682i | ||||
\(765\) | −4.62777 | + | 8.01553i | −0.167317 | + | 0.289802i | ||||
\(766\) | −1.37718 | − | 17.3232i | −0.0497596 | − | 0.625913i | ||||
\(767\) | 36.5524i | 1.31983i | ||||||||
\(768\) | 8.94281 | + | 3.91385i | 0.322696 | + | 0.141229i | ||||
\(769\) | −10.2413 | − | 17.7384i | −0.369309 | − | 0.639663i | 0.620148 | − | 0.784485i | \(-0.287072\pi\) |
−0.989458 | + | 0.144822i | \(0.953739\pi\) | |||||||
\(770\) | 4.61295 | + | 58.0251i | 0.166239 | + | 2.09108i | ||||
\(771\) | 6.16752i | 0.222118i | ||||||||
\(772\) | −11.5562 | + | 9.38842i | −0.415918 | + | 0.337897i | ||||
\(773\) | 16.5528 | − | 9.55676i | 0.595363 | − | 0.343733i | −0.171852 | − | 0.985123i | \(-0.554975\pi\) |
0.767215 | + | 0.641390i | \(0.221642\pi\) | |||||||
\(774\) | −12.0741 | − | 17.5381i | −0.433993 | − | 0.630393i | ||||
\(775\) | 2.61371 | + | 4.52707i | 0.0938872 | + | 0.162617i | ||||
\(776\) | 0.590262 | − | 2.01023i | 0.0211892 | − | 0.0721631i | ||||
\(777\) | −0.324595 | + | 0.562216i | −0.0116448 | + | 0.0201694i | ||||
\(778\) | 9.24399 | + | 4.40017i | 0.331413 | + | 0.157754i | ||||
\(779\) | −1.26597 | + | 1.12199i | −0.0453581 | + | 0.0401995i | ||||
\(780\) | 8.08034 | − | 6.56457i | 0.289323 | − | 0.235049i | ||||
\(781\) | 10.1752 | + | 5.87465i | 0.364097 | + | 0.210211i | ||||
\(782\) | 2.52015 | + | 3.66063i | 0.0901205 | + | 0.130904i | ||||
\(783\) | −19.3562 | + | 11.1753i | −0.691734 | + | 0.399373i | ||||
\(784\) | −4.22309 | − | 3.77832i | −0.150825 | − | 0.134940i | ||||
\(785\) | −4.53927 | − | 7.86225i | −0.162014 | − | 0.280616i | ||||
\(786\) | −2.91877 | + | 6.13184i | −0.104109 | + | 0.218715i | ||||
\(787\) | 15.1750 | 0.540931 | 0.270465 | − | 0.962730i | \(-0.412822\pi\) | ||||
0.270465 | + | 0.962730i | \(0.412822\pi\) | |||||||
\(788\) | 10.1176 | − | 26.4826i | 0.360424 | − | 0.943404i | ||||
\(789\) | 8.34035 | − | 4.81530i | 0.296924 | − | 0.171429i | ||||
\(790\) | 45.3364 | + | 21.5803i | 1.61300 | + | 0.767791i | ||||
\(791\) | 42.1453 | 1.49851 | ||||||||
\(792\) | 28.0426 | + | 29.4104i | 0.996451 | + | 1.04505i | ||||
\(793\) | 31.4436 | + | 18.1539i | 1.11659 | + | 0.644666i | ||||
\(794\) | −3.30454 | − | 41.5669i | −0.117274 | − | 1.47515i | ||||
\(795\) | 6.86214 | + | 3.96186i | 0.243375 | + | 0.140513i | ||||
\(796\) | −2.12165 | − | 13.2595i | −0.0751998 | − | 0.469971i | ||||
\(797\) | − | 46.7518i | − | 1.65603i | −0.560704 | − | 0.828017i | \(-0.689469\pi\) | ||
0.560704 | − | 0.828017i | \(-0.310531\pi\) | |||||||
\(798\) | 2.13562 | − | 8.62642i | 0.0756003 | − | 0.305372i | ||||
\(799\) | − | 3.72206i | − | 0.131677i | ||||||
\(800\) | −11.2551 | − | 26.8707i | −0.397929 | − | 0.950021i | ||||
\(801\) | 11.0136 | + | 6.35873i | 0.389148 | + | 0.224675i | ||||
\(802\) | −5.17366 | + | 0.411302i | −0.182688 | + | 0.0145236i | ||||
\(803\) | −37.1171 | − | 21.4296i | −1.30983 | − | 0.756233i | ||||
\(804\) | 3.71957 | − | 9.73591i | 0.131179 | − | 0.343359i | ||||
\(805\) | −21.3984 | −0.754194 | ||||||||
\(806\) | −1.65224 | + | 3.47108i | −0.0581978 | + | 0.122264i | ||||
\(807\) | −0.0386062 | + | 0.0222893i | −0.00135900 | + | 0.000784620i | ||||
\(808\) | −11.0479 | + | 10.5341i | −0.388663 | + | 0.370588i | ||||
\(809\) | 29.0772 | 1.02230 | 0.511151 | − | 0.859491i | \(-0.329219\pi\) | ||||
0.511151 | + | 0.859491i | \(0.329219\pi\) | |||||||
\(810\) | −23.5484 | − | 11.2091i | −0.827407 | − | 0.393848i | ||||
\(811\) | 23.7677 | + | 41.1669i | 0.834597 | + | 1.44556i | 0.894358 | + | 0.447352i | \(0.147633\pi\) |
−0.0597609 | + | 0.998213i | \(0.519034\pi\) | |||||||
\(812\) | −30.3762 | + | 4.86048i | −1.06600 | + | 0.170570i | ||||
\(813\) | 3.95627 | − | 2.28416i | 0.138753 | − | 0.0801088i | ||||
\(814\) | −2.86799 | + | 1.97446i | −0.100523 | + | 0.0692049i | ||||
\(815\) | −23.7391 | − | 13.7058i | −0.831544 | − | 0.480092i | ||||
\(816\) | 0.552588 | − | 2.64086i | 0.0193444 | − | 0.0924486i | ||||
\(817\) | −18.6906 | + | 16.5649i | −0.653902 | + | 0.579533i | ||||
\(818\) | −0.641388 | + | 1.34744i | −0.0224256 | + | 0.0471123i | ||||
\(819\) | 8.31417 | − | 14.4006i | 0.290521 | − | 0.503197i | ||||
\(820\) | −0.390699 | − | 2.44172i | −0.0136438 | − | 0.0852686i | ||||
\(821\) | 18.3351 | + | 31.7574i | 0.639900 | + | 1.10834i | 0.985454 | + | 0.169940i | \(0.0543576\pi\) |
−0.345554 | + | 0.938399i | \(0.612309\pi\) | |||||||
\(822\) | −7.56797 | + | 5.21016i | −0.263963 | + | 0.181725i | ||||
\(823\) | 39.9324 | − | 23.0550i | 1.39196 | − | 0.803647i | 0.398425 | − | 0.917201i | \(-0.369557\pi\) |
0.993532 | + | 0.113554i | \(0.0362236\pi\) | |||||||
\(824\) | −5.03327 | − | 20.7476i | −0.175342 | − | 0.722778i | ||||
\(825\) | 17.1792i | 0.598102i | ||||||||
\(826\) | −45.4669 | + | 3.61458i | −1.58200 | + | 0.125767i | ||||
\(827\) | 3.93836 | + | 6.82143i | 0.136950 | + | 0.237205i | 0.926341 | − | 0.376687i | \(-0.122937\pi\) |
−0.789391 | + | 0.613891i | \(0.789603\pi\) | |||||||
\(828\) | −11.5948 | + | 9.41973i | −0.402946 | + | 0.327358i | ||||
\(829\) | − | 2.15631i | − | 0.0748918i | −0.999299 | − | 0.0374459i | \(-0.988078\pi\) | ||
0.999299 | − | 0.0374459i | \(-0.0119222\pi\) | |||||||
\(830\) | 18.6333 | − | 1.48133i | 0.646770 | − | 0.0514177i | ||||
\(831\) | −5.81389 | + | 10.0699i | −0.201682 | + | 0.349323i | ||||
\(832\) | 11.5829 | − | 18.0231i | 0.401564 | − | 0.624840i | ||||
\(833\) | −0.783093 | + | 1.35636i | −0.0271326 | + | 0.0469950i | ||||
\(834\) | −2.18399 | − | 3.17233i | −0.0756253 | − | 0.109849i | ||||
\(835\) | −57.3821 | −1.98579 | ||||||||
\(836\) | 30.2282 | − | 36.8533i | 1.04546 | − | 1.27460i | ||||
\(837\) | −3.48519 | −0.120466 | ||||||||
\(838\) | 10.4198 | + | 15.1351i | 0.359945 | + | 0.522835i | ||||
\(839\) | 16.4564 | − | 28.5033i | 0.568137 | − | 0.984043i | −0.428613 | − | 0.903488i | \(-0.640998\pi\) |
0.996750 | − | 0.0805545i | \(-0.0256691\pi\) | |||||||
\(840\) | 8.96460 | + | 9.40185i | 0.309308 | + | 0.324395i | ||||
\(841\) | 6.68657 | − | 11.5815i | 0.230571 | − | 0.399361i | ||||
\(842\) | −46.8846 | + | 3.72729i | −1.61575 | + | 0.128451i | ||||
\(843\) | 5.34228i | 0.183998i | ||||||||
\(844\) | 9.63440 | + | 11.8590i | 0.331630 | + | 0.408204i | ||||
\(845\) | 9.28399 | + | 16.0803i | 0.319379 | + | 0.553181i | ||||
\(846\) | 12.4720 | − | 0.991511i | 0.428795 | − | 0.0340889i | ||||
\(847\) | − | 44.6439i | − | 1.53398i | ||||||
\(848\) | 15.9604 | + | 3.33963i | 0.548081 | + | 0.114684i | ||||
\(849\) | −10.9411 | + | 6.31687i | −0.375499 | + | 0.216794i | ||||
\(850\) | −6.63222 | + | 4.56594i | −0.227483 | + | 0.156611i | ||||
\(851\) | −0.640011 | − | 1.10853i | −0.0219393 | − | 0.0380000i | ||||
\(852\) | 2.58923 | − | 0.414303i | 0.0887057 | − | 0.0141938i | ||||
\(853\) | 2.93070 | − | 5.07612i | 0.100345 | − | 0.173803i | −0.811482 | − | 0.584378i | \(-0.801339\pi\) |
0.911827 | + | 0.410575i | \(0.134672\pi\) | |||||||
\(854\) | −19.4720 | + | 40.9073i | −0.666318 | + | 1.39982i | ||||
\(855\) | −11.5491 | + | 34.6161i | −0.394970 | + | 1.18385i | ||||
\(856\) | −12.2700 | − | 50.5783i | −0.419381 | − | 1.72873i | ||||
\(857\) | 1.57854 | + | 0.911371i | 0.0539219 | + | 0.0311318i | 0.526719 | − | 0.850040i | \(-0.323422\pi\) |
−0.472797 | + | 0.881172i | \(0.656755\pi\) | |||||||
\(858\) | −10.4060 | + | 7.16400i | −0.355255 | + | 0.244575i | ||||
\(859\) | −36.6465 | + | 21.1578i | −1.25036 | + | 0.721896i | −0.971181 | − | 0.238342i | \(-0.923396\pi\) |
−0.279180 | + | 0.960239i | \(0.590063\pi\) | |||||||
\(860\) | −5.76823 | − | 36.0492i | −0.196695 | − | 1.22927i | ||||
\(861\) | 0.279736 | + | 0.484518i | 0.00953339 | + | 0.0165123i | ||||
\(862\) | 11.9277 | + | 5.67763i | 0.406259 | + | 0.193381i | ||||
\(863\) | 32.8925 | 1.11967 | 0.559836 | − | 0.828603i | \(-0.310864\pi\) | ||||
0.559836 | + | 0.828603i | \(0.310864\pi\) | |||||||
\(864\) | 19.2669 | + | 2.45890i | 0.655472 | + | 0.0836534i | ||||
\(865\) | −48.7701 | + | 28.1574i | −1.65823 | + | 0.957381i | ||||
\(866\) | 8.03004 | − | 16.8697i | 0.272872 | − | 0.573257i | ||||
\(867\) | 9.62616 | 0.326921 | ||||||||
\(868\) | −4.48100 | − | 1.71195i | −0.152095 | − | 0.0581074i | ||||
\(869\) | −52.7675 | − | 30.4654i | −1.79002 | − | 1.03347i | ||||
\(870\) | −17.8375 | + | 1.41806i | −0.604746 | + | 0.0480768i | ||||
\(871\) | −19.8093 | − | 11.4369i | −0.671211 | − | 0.387524i | ||||
\(872\) | −3.89999 | + | 13.2820i | −0.132070 | + | 0.449786i | ||||
\(873\) | − | 1.94646i | − | 0.0658778i | ||||||
\(874\) | 12.6247 | + | 12.1512i | 0.427037 | + | 0.411019i | ||||
\(875\) | − | 1.12899i | − | 0.0381667i | ||||||
\(876\) | −9.44502 | + | 1.51129i | −0.319118 | + | 0.0510619i | ||||
\(877\) | 37.4930 | + | 21.6466i | 1.26605 | + | 0.730954i | 0.974238 | − | 0.225522i | \(-0.0724088\pi\) |
0.291811 | + | 0.956476i | \(0.405742\pi\) | |||||||
\(878\) | −2.21969 | − | 27.9210i | −0.0749110 | − | 0.942287i | ||||
\(879\) | −10.4591 | − | 6.03855i | −0.352776 | − | 0.203675i | ||||
\(880\) | 21.7409 | + | 66.1969i | 0.732887 | + | 2.23150i | ||||
\(881\) | −10.1569 | −0.342193 | −0.171097 | − | 0.985254i | \(-0.554731\pi\) | ||||
−0.171097 | + | 0.985254i | \(0.554731\pi\) | |||||||
\(882\) | −4.75352 | − | 2.26269i | −0.160059 | − | 0.0761887i | ||||
\(883\) | 31.8465 | − | 18.3866i | 1.07172 | − | 0.618757i | 0.143068 | − | 0.989713i | \(-0.454303\pi\) |
0.928651 | + | 0.370956i | \(0.120970\pi\) | |||||||
\(884\) | −5.53150 | − | 2.11329i | −0.186044 | − | 0.0710776i | ||||
\(885\) | −26.5303 | −0.891805 | ||||||||
\(886\) | −6.21963 | + | 13.0664i | −0.208952 | + | 0.438973i | ||||
\(887\) | −19.3619 | − | 33.5357i | −0.650108 | − | 1.12602i | −0.983096 | − | 0.183089i | \(-0.941390\pi\) |
0.332989 | − | 0.942931i | \(-0.391943\pi\) | |||||||
\(888\) | −0.218933 | + | 0.745609i | −0.00734690 | + | 0.0250210i | ||||
\(889\) | −19.8436 | + | 11.4567i | −0.665532 | + | 0.384245i | ||||
\(890\) | 12.3649 | + | 17.9605i | 0.414471 | + | 0.602037i | ||||
\(891\) | 27.4083 | + | 15.8242i | 0.918212 | + | 0.530130i | ||||
\(892\) | −2.16520 | − | 2.66515i | −0.0724962 | − | 0.0892358i | ||||
\(893\) | −2.93817 | − | 14.3779i | −0.0983220 | − | 0.481137i | ||||
\(894\) | −6.24750 | − | 2.97383i | −0.208948 | − | 0.0994597i | ||||
\(895\) | −23.8317 | + | 41.2777i | −0.796606 | + | 1.37976i | ||||
\(896\) | 23.5641 | + | 12.6255i | 0.787221 | + | 0.421788i | ||||
\(897\) | −2.32217 | − | 4.02212i | −0.0775350 | − | 0.134295i | ||||
\(898\) | −7.77578 | − | 11.2946i | −0.259481 | − | 0.376907i | ||||
\(899\) | 5.72214 | − | 3.30368i | 0.190844 | − | 0.110184i | ||||
\(900\) | −17.0664 | − | 21.0071i | −0.568880 | − | 0.700236i | ||||
\(901\) | − | 4.50682i | − | 0.150144i | ||||||
\(902\) | 0.237805 | + | 2.99129i | 0.00791805 | + | 0.0995992i | ||||
\(903\) | 4.12999 | + | 7.15335i | 0.137438 | + | 0.238049i | ||||
\(904\) | 49.0263 | − | 11.8935i | 1.63059 | − | 0.395573i | ||||
\(905\) | − | 55.7669i | − | 1.85375i | ||||||
\(906\) | 0.378798 | + | 4.76480i | 0.0125847 | + | 0.158300i | ||||
\(907\) | −27.5458 | + | 47.7107i | −0.914643 | + | 1.58421i | −0.107220 | + | 0.994235i | \(0.534195\pi\) |
−0.807423 | + | 0.589973i | \(0.799138\pi\) | |||||||
\(908\) | 12.3286 | − | 32.2698i | 0.409138 | − | 1.07091i | ||||
\(909\) | −7.09105 | + | 12.2821i | −0.235195 | + | 0.407370i | ||||
\(910\) | 23.4837 | − | 16.1673i | 0.778478 | − | 0.535942i | ||||
\(911\) | 3.72616 | 0.123453 | 0.0617266 | − | 0.998093i | \(-0.480339\pi\) | ||||
0.0617266 | + | 0.998093i | \(0.480339\pi\) | |||||||
\(912\) | 0.0499033 | − | 10.6375i | 0.00165246 | − | 0.352243i | ||||
\(913\) | −22.6829 | −0.750694 | ||||||||
\(914\) | 10.3090 | − | 7.09722i | 0.340991 | − | 0.234755i | ||||
\(915\) | −13.1764 | + | 22.8222i | −0.435598 | + | 0.754479i | ||||
\(916\) | 11.9872 | − | 31.3762i | 0.396067 | − | 1.03670i | ||||
\(917\) | −9.29893 | + | 16.1062i | −0.307078 | + | 0.531874i | ||||
\(918\) | −0.425438 | − | 5.35147i | −0.0140415 | − | 0.176625i | ||||
\(919\) | 17.4986i | 0.577224i | 0.957446 | + | 0.288612i | \(0.0931938\pi\) | ||||
−0.957446 | + | 0.288612i | \(0.906806\pi\) | |||||||
\(920\) | −24.8921 | + | 6.03869i | −0.820667 | + | 0.199090i | ||||
\(921\) | −2.73074 | − | 4.72979i | −0.0899811 | − | 0.155852i | ||||
\(922\) | −1.08846 | − | 13.6915i | −0.0358466 | − | 0.450906i | ||||
\(923\) | − | 5.75490i | − | 0.189425i | ||||||
\(924\) | −9.94020 | − | 12.2354i | −0.327009 | − | 0.402516i | ||||
\(925\) | 2.00841 | − | 1.15956i | 0.0660361 | − | 0.0381259i | ||||
\(926\) | 30.8021 | + | 44.7414i | 1.01222 | + | 1.47029i | ||||
\(927\) | −9.91740 | − | 17.1774i | −0.325730 | − | 0.564181i | ||||
\(928\) | −33.9640 | + | 14.2263i | −1.11492 | + | 0.467001i | ||||
\(929\) | −7.98584 | + | 13.8319i | −0.262007 | + | 0.453810i | −0.966775 | − | 0.255628i | \(-0.917718\pi\) |
0.704768 | + | 0.709438i | \(0.251051\pi\) | |||||||
\(930\) | −2.51936 | − | 1.19922i | −0.0826130 | − | 0.0393241i | ||||
\(931\) | −1.95429 | + | 5.85761i | −0.0640494 | + | 0.191975i | ||||
\(932\) | 4.19564 | + | 5.16443i | 0.137433 | + | 0.169166i | ||||
\(933\) | 0.131791 | + | 0.0760896i | 0.00431464 | + | 0.00249106i | ||||
\(934\) | −17.4693 | − | 25.3749i | −0.571614 | − | 0.830293i | ||||
\(935\) | 16.6776 | − | 9.62883i | 0.545417 | − | 0.314897i | ||||
\(936\) | 5.60773 | − | 19.0980i | 0.183294 | − | 0.624238i | ||||
\(937\) | 0.674194 | + | 1.16774i | 0.0220249 | + | 0.0381483i | 0.876828 | − | 0.480805i | \(-0.159655\pi\) |
−0.854803 | + | 0.518953i | \(0.826322\pi\) | |||||||
\(938\) | 12.2673 | − | 25.7714i | 0.400540 | − | 0.841465i | ||||
\(939\) | 14.4823 | 0.472611 | ||||||||
\(940\) | 20.0391 | + | 7.65588i | 0.653605 | + | 0.249707i | ||||
\(941\) | −41.2979 | + | 23.8434i | −1.34627 | + | 0.777271i | −0.987719 | − | 0.156238i | \(-0.950063\pi\) |
−0.358553 | + | 0.933509i | \(0.616730\pi\) | |||||||
\(942\) | 2.22003 | + | 1.05674i | 0.0723325 | + | 0.0344305i | ||||
\(943\) | −1.10312 | −0.0359227 | ||||||||
\(944\) | −51.8701 | + | 17.0356i | −1.68823 | + | 0.554462i | ||||
\(945\) | 22.3849 | + | 12.9239i | 0.728180 | + | 0.420415i | ||||
\(946\) | 3.51093 | + | 44.1631i | 0.114150 | + | 1.43587i | ||||
\(947\) | 22.7091 | + | 13.1111i | 0.737946 | + | 0.426053i | 0.821322 | − | 0.570465i | \(-0.193237\pi\) |
−0.0833759 | + | 0.996518i | \(0.526570\pi\) | |||||||
\(948\) | −13.4275 | + | 2.14853i | −0.436106 | + | 0.0697811i | ||||
\(949\) | 20.9927i | 0.681453i | ||||||||
\(950\) | −22.0151 | + | 22.8731i | −0.714265 | + | 0.742101i | ||||
\(951\) | 10.3109i | 0.334355i | ||||||||
\(952\) | 2.08169 | − | 7.08951i | 0.0674679 | − | 0.229772i | ||||
\(953\) | −23.7784 | − | 13.7285i | −0.770257 | − | 0.444708i | 0.0627090 | − | 0.998032i | \(-0.480026\pi\) |
−0.832966 | + | 0.553324i | \(0.813359\pi\) | |||||||
\(954\) | 15.1016 | − | 1.20056i | 0.488931 | − | 0.0388696i | ||||
\(955\) | 51.4646 | + | 29.7131i | 1.66535 | + | 0.961493i | ||||
\(956\) | −9.02719 | − | 3.44881i | −0.291960 | − | 0.111542i | ||||
\(957\) | 21.7141 | 0.701918 | ||||||||
\(958\) | 7.40765 | − | 15.5622i | 0.239330 | − | 0.502791i | ||||
\(959\) | −21.7910 | + | 12.5810i | −0.703668 | + | 0.406263i | ||||
\(960\) | 13.0815 | + | 8.40703i | 0.422202 | + | 0.271336i | ||||
\(961\) | −29.9697 | −0.966764 | ||||||||
\(962\) | 1.53992 | + | 0.733008i | 0.0496491 | + | 0.0236331i | ||||
\(963\) | −24.1765 | − | 41.8749i | −0.779077 | − | 1.34940i | ||||
\(964\) | −8.45686 | − | 52.8522i | −0.272377 | − | 1.70225i | ||||
\(965\) | −20.5402 | + | 11.8589i | −0.661213 | + | 0.381751i | ||||
\(966\) | 4.77341 | − | 3.28625i | 0.153582 | − | 0.105733i | ||||
\(967\) | 14.9005 | + | 8.60278i | 0.479166 | + | 0.276647i | 0.720069 | − | 0.693902i | \(-0.244110\pi\) |
−0.240903 | + | 0.970549i | \(0.577443\pi\) | |||||||
\(968\) | −12.5986 | − | 51.9328i | −0.404935 | − | 1.66918i | ||||
\(969\) | −2.88060 | + | 0.588661i | −0.0925383 | + | 0.0189105i | ||||
\(970\) | 1.43440 | − | 3.01342i | 0.0460557 | − | 0.0967550i | ||||
\(971\) | 6.50590 | − | 11.2685i | 0.208784 | − | 0.361625i | −0.742548 | − | 0.669793i | \(-0.766383\pi\) |
0.951332 | + | 0.308168i | \(0.0997160\pi\) | |||||||
\(972\) | 27.3170 | − | 4.37099i | 0.876194 | − | 0.140200i | ||||
\(973\) | −5.27371 | − | 9.13434i | −0.169067 | − | 0.292833i | ||||
\(974\) | 32.4642 | − | 22.3499i | 1.04022 | − | 0.716137i | ||||
\(975\) | 7.28716 | − | 4.20725i | 0.233376 | − | 0.134740i | ||||
\(976\) | −11.1070 | + | 53.0812i | −0.355527 | + | 1.69909i | ||||
\(977\) | 38.1644i | 1.22099i | 0.792021 | + | 0.610494i | \(0.209029\pi\) | ||||
−0.792021 | + | 0.610494i | \(0.790971\pi\) | |||||||
\(978\) | 7.40042 | − | 0.588327i | 0.236639 | − | 0.0188126i | ||||
\(979\) | −13.2304 | − | 22.9157i | −0.422845 | − | 0.732389i | ||||
\(980\) | −5.69173 | − | 7.00596i | −0.181816 | − | 0.223797i | ||||
\(981\) | 12.8607i | 0.410611i | ||||||||
\(982\) | 24.4172 | − | 1.94115i | 0.779184 | − | 0.0619445i | ||||
\(983\) | 11.7428 | − | 20.3391i | 0.374536 | − | 0.648715i | −0.615722 | − | 0.787964i | \(-0.711135\pi\) |
0.990257 | + | 0.139249i | \(0.0444688\pi\) | |||||||
\(984\) | 0.462141 | + | 0.484681i | 0.0147325 | + | 0.0154511i | ||||
\(985\) | 22.5797 | − | 39.1092i | 0.719449 | − | 1.24612i | ||||
\(986\) | 5.77127 | + | 8.38300i | 0.183795 | + | 0.266969i | ||||
\(987\) | −4.85352 | −0.154489 | ||||||||
\(988\) | −23.0357 | − | 3.79685i | −0.732863 | − | 0.120794i | ||||
\(989\) | −16.2864 | −0.517877 | ||||||||
\(990\) | 36.7072 | + | 53.3188i | 1.16663 | + | 1.69458i | ||||
\(991\) | 13.8156 | − | 23.9293i | 0.438866 | − | 0.760139i | −0.558736 | − | 0.829346i | \(-0.688714\pi\) |
0.997602 | + | 0.0692069i | \(0.0220469\pi\) | |||||||
\(992\) | −5.69572 | − | 0.726907i | −0.180839 | − | 0.0230793i | ||||
\(993\) | 2.96641 | − | 5.13798i | 0.0941363 | − | 0.163049i | ||||
\(994\) | 7.15842 | − | 0.569089i | 0.227051 | − | 0.0180504i | ||||
\(995\) | − | 21.3904i | − | 0.678122i | ||||||
\(996\) | −3.92909 | + | 3.19204i | −0.124498 | + | 0.101144i | ||||
\(997\) | 11.8340 | + | 20.4970i | 0.374786 | + | 0.649148i | 0.990295 | − | 0.138982i | \(-0.0443829\pi\) |
−0.615509 | + | 0.788130i | \(0.711050\pi\) | |||||||
\(998\) | 1.63913 | − | 0.130310i | 0.0518858 | − | 0.00412488i | ||||
\(999\) | 1.54618i | 0.0489191i |
(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 | 76.2.f.a.27.2 | ✓ | 16 | |
3.2 | odd | 2 | 684.2.r.a.559.7 | 16 | |||
4.3 | odd | 2 | inner | 76.2.f.a.27.5 | yes | 16 | |
8.3 | odd | 2 | 1216.2.n.f.255.5 | 16 | |||
8.5 | even | 2 | 1216.2.n.f.255.4 | 16 | |||
12.11 | even | 2 | 684.2.r.a.559.4 | 16 | |||
19.12 | odd | 6 | inner | 76.2.f.a.31.5 | yes | 16 | |
57.50 | even | 6 | 684.2.r.a.487.4 | 16 | |||
76.31 | even | 6 | inner | 76.2.f.a.31.2 | yes | 16 | |
152.69 | odd | 6 | 1216.2.n.f.639.5 | 16 | |||
152.107 | even | 6 | 1216.2.n.f.639.4 | 16 | |||
228.107 | odd | 6 | 684.2.r.a.487.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.f.a.27.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
76.2.f.a.27.5 | yes | 16 | 4.3 | odd | 2 | inner | |
76.2.f.a.31.2 | yes | 16 | 76.31 | even | 6 | inner | |
76.2.f.a.31.5 | yes | 16 | 19.12 | odd | 6 | inner | |
684.2.r.a.487.4 | 16 | 57.50 | even | 6 | |||
684.2.r.a.487.7 | 16 | 228.107 | odd | 6 | |||
684.2.r.a.559.4 | 16 | 12.11 | even | 2 | |||
684.2.r.a.559.7 | 16 | 3.2 | odd | 2 | |||
1216.2.n.f.255.4 | 16 | 8.5 | even | 2 | |||
1216.2.n.f.255.5 | 16 | 8.3 | odd | 2 | |||
1216.2.n.f.639.4 | 16 | 152.107 | even | 6 | |||
1216.2.n.f.639.5 | 16 | 152.69 | odd | 6 |