Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(165,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.e (of order \(3\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} + 4x^{7} + 32x^{6} + 3x^{5} + 30x^{4} - 7x^{3} + 26x^{2} - 5x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 247.4 | ||
Root | \(0.100998 - 0.174933i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 287.247 |
Dual form | 287.2.e.c.165.4 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.894706 | − | 1.54968i | 0.632653 | − | 1.09579i | −0.354355 | − | 0.935111i | \(-0.615299\pi\) |
0.987007 | − | 0.160675i | \(-0.0513673\pi\) | |||||||
\(3\) | 1.16033 | + | 2.00974i | 0.669914 | + | 1.16033i | 0.977928 | + | 0.208944i | \(0.0670025\pi\) |
−0.308013 | + | 0.951382i | \(0.599664\pi\) | |||||||
\(4\) | −0.600998 | − | 1.04096i | −0.300499 | − | 0.520479i | ||||
\(5\) | −1.16033 | + | 2.00974i | −0.518913 | + | 0.898784i | 0.480845 | + | 0.876806i | \(0.340330\pi\) |
−0.999758 | + | 0.0219787i | \(0.993003\pi\) | |||||||
\(6\) | 4.15260 | 1.69529 | ||||||||
\(7\) | −1.87001 | + | 1.87165i | −0.706797 | + | 0.707417i | ||||
\(8\) | 1.42796 | 0.504860 | ||||||||
\(9\) | −1.19271 | + | 2.06584i | −0.397570 | + | 0.688612i | ||||
\(10\) | 2.07630 | + | 3.59626i | 0.656584 | + | 1.13724i | ||||
\(11\) | −1.05503 | − | 1.82737i | −0.318104 | − | 0.550972i | 0.661988 | − | 0.749514i | \(-0.269713\pi\) |
−0.980092 | + | 0.198542i | \(0.936379\pi\) | |||||||
\(12\) | 1.39471 | − | 2.41570i | 0.402617 | − | 0.697353i | ||||
\(13\) | 2.32065 | 0.643633 | 0.321816 | − | 0.946802i | \(-0.395707\pi\) | ||||
0.321816 | + | 0.946802i | \(0.395707\pi\) | |||||||
\(14\) | 1.22734 | + | 4.57248i | 0.328021 | + | 1.22205i | ||||
\(15\) | −5.38542 | −1.39051 | ||||||||
\(16\) | 2.47960 | − | 4.29479i | 0.619900 | − | 1.07370i | ||||
\(17\) | 0.622267 | + | 1.07780i | 0.150922 | + | 0.261404i | 0.931567 | − | 0.363571i | \(-0.118442\pi\) |
−0.780645 | + | 0.624975i | \(0.785109\pi\) | |||||||
\(18\) | 2.13425 | + | 3.69663i | 0.503048 | + | 0.871304i | ||||
\(19\) | 1.21965 | − | 2.11250i | 0.279808 | − | 0.484641i | −0.691529 | − | 0.722349i | \(-0.743063\pi\) |
0.971337 | + | 0.237708i | \(0.0763960\pi\) | |||||||
\(20\) | 2.78941 | 0.623731 | ||||||||
\(21\) | −5.93135 | − | 1.58652i | −1.29433 | − | 0.346206i | ||||
\(22\) | −3.77577 | −0.804997 | ||||||||
\(23\) | 2.93363 | − | 5.08120i | 0.611705 | − | 1.05950i | −0.379248 | − | 0.925295i | \(-0.623817\pi\) |
0.990953 | − | 0.134209i | \(-0.0428493\pi\) | |||||||
\(24\) | 1.65690 | + | 2.86983i | 0.338213 | + | 0.585802i | ||||
\(25\) | −0.192711 | − | 0.333784i | −0.0385421 | − | 0.0667569i | ||||
\(26\) | 2.07630 | − | 3.59626i | 0.407196 | − | 0.705284i | ||||
\(27\) | 1.42622 | 0.274477 | ||||||||
\(28\) | 3.07218 | + | 0.821745i | 0.580587 | + | 0.155295i | ||||
\(29\) | −6.48184 | −1.20365 | −0.601824 | − | 0.798629i | \(-0.705559\pi\) | ||||
−0.601824 | + | 0.798629i | \(0.705559\pi\) | |||||||
\(30\) | −4.81837 | + | 8.34566i | −0.879710 | + | 1.52370i | ||||
\(31\) | −1.26649 | − | 2.19362i | −0.227468 | − | 0.393986i | 0.729589 | − | 0.683886i | \(-0.239711\pi\) |
−0.957057 | + | 0.289900i | \(0.906378\pi\) | |||||||
\(32\) | −3.00907 | − | 5.21185i | −0.531933 | − | 0.921334i | ||||
\(33\) | 2.44836 | − | 4.24068i | 0.426205 | − | 0.738208i | ||||
\(34\) | 2.22698 | 0.381924 | ||||||||
\(35\) | −1.59171 | − | 5.92996i | −0.269049 | − | 1.00235i | ||||
\(36\) | 2.86727 | 0.477878 | ||||||||
\(37\) | 0.200618 | − | 0.347480i | 0.0329814 | − | 0.0571254i | −0.849064 | − | 0.528291i | \(-0.822833\pi\) |
0.882045 | + | 0.471165i | \(0.156166\pi\) | |||||||
\(38\) | −2.18246 | − | 3.78014i | −0.354042 | − | 0.613219i | ||||
\(39\) | 2.69271 | + | 4.66391i | 0.431179 | + | 0.746824i | ||||
\(40\) | −1.65690 | + | 2.86983i | −0.261978 | + | 0.453760i | ||||
\(41\) | −1.00000 | −0.156174 | ||||||||
\(42\) | −7.76540 | + | 7.77221i | −1.19823 | + | 1.19928i | ||||
\(43\) | −0.872387 | −0.133038 | −0.0665189 | − | 0.997785i | \(-0.521189\pi\) | ||||
−0.0665189 | + | 0.997785i | \(0.521189\pi\) | |||||||
\(44\) | −1.26814 | + | 2.19649i | −0.191180 | + | 0.331133i | ||||
\(45\) | −2.76786 | − | 4.79408i | −0.412609 | − | 0.714660i | ||||
\(46\) | −5.24948 | − | 9.09236i | −0.773993 | − | 1.34060i | ||||
\(47\) | 1.99209 | − | 3.45041i | 0.290577 | − | 0.503293i | −0.683370 | − | 0.730073i | \(-0.739486\pi\) |
0.973946 | + | 0.226779i | \(0.0728196\pi\) | |||||||
\(48\) | 11.5086 | 1.66112 | ||||||||
\(49\) | −0.00613483 | − | 7.00000i | −0.000876404 | − | 1.00000i | ||||
\(50\) | −0.689677 | −0.0975351 | ||||||||
\(51\) | −1.44406 | + | 2.50119i | −0.202209 | + | 0.350237i | ||||
\(52\) | −1.39471 | − | 2.41570i | −0.193411 | − | 0.334998i | ||||
\(53\) | −6.03889 | − | 10.4597i | −0.829505 | − | 1.43675i | −0.898427 | − | 0.439123i | \(-0.855289\pi\) |
0.0689215 | − | 0.997622i | \(-0.478044\pi\) | |||||||
\(54\) | 1.27605 | − | 2.21018i | 0.173648 | − | 0.300768i | ||||
\(55\) | 4.89672 | 0.660274 | ||||||||
\(56\) | −2.67030 | + | 2.67264i | −0.356833 | + | 0.357146i | ||||
\(57\) | 5.66078 | 0.749789 | ||||||||
\(58\) | −5.79935 | + | 10.0448i | −0.761491 | + | 1.31894i | ||||
\(59\) | 5.25973 | + | 9.11011i | 0.684758 | + | 1.18604i | 0.973513 | + | 0.228633i | \(0.0734254\pi\) |
−0.288755 | + | 0.957403i | \(0.593241\pi\) | |||||||
\(60\) | 3.23663 | + | 5.60600i | 0.417847 | + | 0.723732i | ||||
\(61\) | −1.91374 | + | 3.31470i | −0.245029 | + | 0.424403i | −0.962140 | − | 0.272556i | \(-0.912131\pi\) |
0.717110 | + | 0.696960i | \(0.245464\pi\) | |||||||
\(62\) | −4.53254 | −0.575633 | ||||||||
\(63\) | −1.63614 | − | 6.09546i | −0.206134 | − | 0.767956i | ||||
\(64\) | −0.850520 | −0.106315 | ||||||||
\(65\) | −2.69271 | + | 4.66391i | −0.333990 | + | 0.578487i | ||||
\(66\) | −4.38112 | − | 7.58833i | −0.539279 | − | 0.934059i | ||||
\(67\) | 6.54117 | + | 11.3296i | 0.799131 | + | 1.38414i | 0.920182 | + | 0.391490i | \(0.128040\pi\) |
−0.121051 | + | 0.992646i | \(0.538626\pi\) | |||||||
\(68\) | 0.747962 | − | 1.29551i | 0.0907037 | − | 0.157103i | ||||
\(69\) | 13.6159 | 1.63916 | ||||||||
\(70\) | −10.6136 | − | 2.83893i | −1.26857 | − | 0.339317i | ||||
\(71\) | −8.22415 | −0.976028 | −0.488014 | − | 0.872836i | \(-0.662278\pi\) | ||||
−0.488014 | + | 0.872836i | \(0.662278\pi\) | |||||||
\(72\) | −1.70314 | + | 2.94993i | −0.200717 | + | 0.347652i | ||||
\(73\) | −3.22464 | − | 5.58524i | −0.377416 | − | 0.653703i | 0.613270 | − | 0.789874i | \(-0.289854\pi\) |
−0.990685 | + | 0.136170i | \(0.956521\pi\) | |||||||
\(74\) | −0.358988 | − | 0.621786i | −0.0417315 | − | 0.0722811i | ||||
\(75\) | 0.447214 | − | 0.774597i | 0.0516398 | − | 0.0894428i | ||||
\(76\) | −2.93204 | −0.336328 | ||||||||
\(77\) | 5.39311 | + | 1.44255i | 0.614602 | + | 0.164393i | ||||
\(78\) | 9.63674 | 1.09115 | ||||||||
\(79\) | −2.09053 | + | 3.62090i | −0.235203 | + | 0.407384i | −0.959332 | − | 0.282281i | \(-0.908909\pi\) |
0.724129 | + | 0.689665i | \(0.242242\pi\) | |||||||
\(80\) | 5.75428 | + | 9.96671i | 0.643348 | + | 1.11431i | ||||
\(81\) | 5.23301 | + | 9.06385i | 0.581446 | + | 1.00709i | ||||
\(82\) | −0.894706 | + | 1.54968i | −0.0988038 | + | 0.171133i | ||||
\(83\) | 4.83369 | 0.530566 | 0.265283 | − | 0.964171i | \(-0.414535\pi\) | ||||
0.265283 | + | 0.964171i | \(0.414535\pi\) | |||||||
\(84\) | 1.91323 | + | 7.12778i | 0.208751 | + | 0.777705i | ||||
\(85\) | −2.88813 | −0.313261 | ||||||||
\(86\) | −0.780530 | + | 1.35192i | −0.0841667 | + | 0.145781i | ||||
\(87\) | −7.52105 | − | 13.0268i | −0.806341 | − | 1.39662i | ||||
\(88\) | −1.50654 | − | 2.60941i | −0.160598 | − | 0.278164i | ||||
\(89\) | −6.26243 | + | 10.8469i | −0.663817 | + | 1.14976i | 0.315788 | + | 0.948830i | \(0.397731\pi\) |
−0.979605 | + | 0.200934i | \(0.935602\pi\) | |||||||
\(90\) | −9.90570 | −1.04415 | ||||||||
\(91\) | −4.33964 | + | 4.34344i | −0.454918 | + | 0.455316i | ||||
\(92\) | −7.05243 | −0.735266 | ||||||||
\(93\) | 2.93907 | − | 5.09063i | 0.304768 | − | 0.527873i | ||||
\(94\) | −3.56467 | − | 6.17420i | −0.367668 | − | 0.636820i | ||||
\(95\) | 2.83039 | + | 4.90238i | 0.290392 | + | 0.502973i | ||||
\(96\) | 6.98299 | − | 12.0949i | 0.712698 | − | 1.23443i | ||||
\(97\) | −12.4400 | −1.26309 | −0.631546 | − | 0.775338i | \(-0.717580\pi\) | ||||
−0.631546 | + | 0.775338i | \(0.717580\pi\) | |||||||
\(98\) | −10.8532 | − | 6.25343i | −1.09634 | − | 0.631692i | ||||
\(99\) | 5.03339 | 0.505875 | ||||||||
\(100\) | −0.231637 | + | 0.401207i | −0.0231637 | + | 0.0401207i | ||||
\(101\) | −7.79974 | − | 13.5095i | −0.776103 | − | 1.34425i | −0.934172 | − | 0.356822i | \(-0.883860\pi\) |
0.158069 | − | 0.987428i | \(-0.449473\pi\) | |||||||
\(102\) | 2.58403 | + | 4.47566i | 0.255857 | + | 0.443157i | ||||
\(103\) | −9.22730 | + | 15.9822i | −0.909193 | + | 1.57477i | −0.0940059 | + | 0.995572i | \(0.529967\pi\) |
−0.815187 | + | 0.579197i | \(0.803366\pi\) | |||||||
\(104\) | 3.31379 | 0.324944 | ||||||||
\(105\) | 10.0708 | − | 10.0796i | 0.982808 | − | 0.983670i | ||||
\(106\) | −21.6121 | −2.09916 | ||||||||
\(107\) | 5.21481 | − | 9.03232i | 0.504135 | − | 0.873187i | −0.495854 | − | 0.868406i | \(-0.665145\pi\) |
0.999989 | − | 0.00478099i | \(-0.00152184\pi\) | |||||||
\(108\) | −0.857157 | − | 1.48464i | −0.0824800 | − | 0.142859i | ||||
\(109\) | 10.1898 | + | 17.6492i | 0.976002 | + | 1.69048i | 0.676590 | + | 0.736360i | \(0.263457\pi\) |
0.299412 | + | 0.954124i | \(0.403210\pi\) | |||||||
\(110\) | 4.38112 | − | 7.58833i | 0.417724 | − | 0.723519i | ||||
\(111\) | 0.931128 | 0.0883788 | ||||||||
\(112\) | 3.40147 | + | 12.6722i | 0.321408 | + | 1.19741i | ||||
\(113\) | 1.84834 | 0.173878 | 0.0869388 | − | 0.996214i | \(-0.472292\pi\) | ||||
0.0869388 | + | 0.996214i | \(0.472292\pi\) | |||||||
\(114\) | 5.06473 | − | 8.77238i | 0.474356 | − | 0.821608i | ||||
\(115\) | 6.80794 | + | 11.7917i | 0.634843 | + | 1.09958i | ||||
\(116\) | 3.89557 | + | 6.74733i | 0.361695 | + | 0.626474i | ||||
\(117\) | −2.76786 | + | 4.79408i | −0.255889 | + | 0.443213i | ||||
\(118\) | 18.8236 | 1.73286 | ||||||||
\(119\) | −3.18090 | − | 0.850826i | −0.291593 | − | 0.0779951i | ||||
\(120\) | −7.69016 | −0.702012 | ||||||||
\(121\) | 3.27382 | − | 5.67042i | 0.297620 | − | 0.515492i | ||||
\(122\) | 3.42447 | + | 5.93136i | 0.310037 | + | 0.537000i | ||||
\(123\) | −1.16033 | − | 2.00974i | −0.104623 | − | 0.181212i | ||||
\(124\) | −1.52231 | + | 2.63672i | −0.136708 | + | 0.236785i | ||||
\(125\) | −10.7088 | −0.957827 | ||||||||
\(126\) | −10.9099 | − | 2.91816i | −0.971928 | − | 0.259971i | ||||
\(127\) | 5.93689 | 0.526814 | 0.263407 | − | 0.964685i | \(-0.415154\pi\) | ||||
0.263407 | + | 0.964685i | \(0.415154\pi\) | |||||||
\(128\) | 5.25717 | − | 9.10568i | 0.464672 | − | 0.804836i | ||||
\(129\) | −1.01225 | − | 1.75327i | −0.0891239 | − | 0.154367i | ||||
\(130\) | 4.81837 | + | 8.34566i | 0.422599 | + | 0.731963i | ||||
\(131\) | 10.1034 | − | 17.4996i | 0.882737 | − | 1.52894i | 0.0344504 | − | 0.999406i | \(-0.489032\pi\) |
0.848286 | − | 0.529538i | \(-0.177635\pi\) | |||||||
\(132\) | −5.88584 | −0.512296 | ||||||||
\(133\) | 1.67310 | + | 6.23316i | 0.145076 | + | 0.540483i | ||||
\(134\) | 23.4097 | 2.02229 | ||||||||
\(135\) | −1.65488 | + | 2.86634i | −0.142430 | + | 0.246695i | ||||
\(136\) | 0.888571 | + | 1.53905i | 0.0761944 | + | 0.131972i | ||||
\(137\) | −9.71980 | − | 16.8352i | −0.830418 | − | 1.43833i | −0.897707 | − | 0.440593i | \(-0.854768\pi\) |
0.0672883 | − | 0.997734i | \(-0.478565\pi\) | |||||||
\(138\) | 12.1822 | − | 21.1002i | 1.03702 | − | 1.79617i | ||||
\(139\) | 3.36678 | 0.285566 | 0.142783 | − | 0.989754i | \(-0.454395\pi\) | ||||
0.142783 | + | 0.989754i | \(0.454395\pi\) | |||||||
\(140\) | −5.21622 | + | 5.22080i | −0.440851 | + | 0.441238i | ||||
\(141\) | 9.24590 | 0.778646 | ||||||||
\(142\) | −7.35820 | + | 12.7448i | −0.617486 | + | 1.06952i | ||||
\(143\) | −2.44836 | − | 4.24068i | −0.204742 | − | 0.354624i | ||||
\(144\) | 5.91489 | + | 10.2449i | 0.492907 | + | 0.853740i | ||||
\(145\) | 7.52105 | − | 13.0268i | 0.624589 | − | 1.08182i | ||||
\(146\) | −11.5404 | −0.955092 | ||||||||
\(147\) | 14.0611 | − | 8.13460i | 1.15974 | − | 0.670931i | ||||
\(148\) | −0.482284 | −0.0396435 | ||||||||
\(149\) | 4.76024 | − | 8.24497i | 0.389974 | − | 0.675454i | −0.602472 | − | 0.798140i | \(-0.705817\pi\) |
0.992446 | + | 0.122686i | \(0.0391508\pi\) | |||||||
\(150\) | −0.800250 | − | 1.38607i | −0.0653401 | − | 0.113172i | ||||
\(151\) | 5.05882 | + | 8.76213i | 0.411681 | + | 0.713052i | 0.995074 | − | 0.0991381i | \(-0.0316085\pi\) |
−0.583393 | + | 0.812190i | \(0.698275\pi\) | |||||||
\(152\) | 1.74161 | − | 3.01657i | 0.141264 | − | 0.244676i | ||||
\(153\) | −2.96874 | −0.240008 | ||||||||
\(154\) | 7.06073 | − | 7.06692i | 0.568970 | − | 0.569468i | ||||
\(155\) | 5.87815 | 0.472144 | ||||||||
\(156\) | 3.23663 | − | 5.60600i | 0.259137 | − | 0.448839i | ||||
\(157\) | −4.91666 | − | 8.51590i | −0.392392 | − | 0.679643i | 0.600372 | − | 0.799721i | \(-0.295019\pi\) |
−0.992765 | + | 0.120077i | \(0.961686\pi\) | |||||||
\(158\) | 3.74082 | + | 6.47929i | 0.297604 | + | 0.515465i | ||||
\(159\) | 14.0142 | − | 24.2732i | 1.11139 | − | 1.92499i | ||||
\(160\) | 13.9660 | 1.10411 | ||||||||
\(161\) | 4.02430 | + | 14.9926i | 0.317159 | + | 1.18158i | ||||
\(162\) | 18.7280 | 1.47141 | ||||||||
\(163\) | 6.81792 | − | 11.8090i | 0.534020 | − | 0.924950i | −0.465190 | − | 0.885211i | \(-0.654014\pi\) |
0.999210 | − | 0.0397393i | \(-0.0126528\pi\) | |||||||
\(164\) | 0.600998 | + | 1.04096i | 0.0469300 | + | 0.0812852i | ||||
\(165\) | 5.68179 | + | 9.84115i | 0.442327 | + | 0.766132i | ||||
\(166\) | 4.32473 | − | 7.49065i | 0.335664 | − | 0.581387i | ||||
\(167\) | 4.66022 | 0.360619 | 0.180309 | − | 0.983610i | \(-0.442290\pi\) | ||||
0.180309 | + | 0.983610i | \(0.442290\pi\) | |||||||
\(168\) | −8.46972 | − | 2.26548i | −0.653453 | − | 0.174785i | ||||
\(169\) | −7.61458 | −0.585737 | ||||||||
\(170\) | −2.58403 | + | 4.47566i | −0.198186 | + | 0.343268i | ||||
\(171\) | 2.90939 | + | 5.03921i | 0.222486 | + | 0.385358i | ||||
\(172\) | 0.524302 | + | 0.908118i | 0.0399777 | + | 0.0692434i | ||||
\(173\) | −2.98483 | + | 5.16988i | −0.226932 | + | 0.393058i | −0.956897 | − | 0.290426i | \(-0.906203\pi\) |
0.729965 | + | 0.683484i | \(0.239536\pi\) | |||||||
\(174\) | −26.9165 | −2.04054 | ||||||||
\(175\) | 0.985097 | + | 0.263493i | 0.0744664 | + | 0.0199182i | ||||
\(176\) | −10.4642 | −0.788770 | ||||||||
\(177\) | −12.2060 | + | 21.1414i | −0.917458 | + | 1.58908i | ||||
\(178\) | 11.2061 | + | 19.4095i | 0.839931 | + | 1.45480i | ||||
\(179\) | −7.56674 | − | 13.1060i | −0.565564 | − | 0.979586i | −0.996997 | − | 0.0774412i | \(-0.975325\pi\) |
0.431432 | − | 0.902145i | \(-0.358008\pi\) | |||||||
\(180\) | −3.32696 | + | 5.76247i | −0.247977 | + | 0.429509i | ||||
\(181\) | −17.8789 | −1.32893 | −0.664464 | − | 0.747320i | \(-0.731340\pi\) | ||||
−0.664464 | + | 0.747320i | \(0.731340\pi\) | |||||||
\(182\) | 2.84823 | + | 10.6111i | 0.211125 | + | 0.786550i | ||||
\(183\) | −8.88225 | −0.656595 | ||||||||
\(184\) | 4.18911 | − | 7.25575i | 0.308825 | − | 0.534901i | ||||
\(185\) | 0.465564 | + | 0.806381i | 0.0342290 | + | 0.0592863i | ||||
\(186\) | −5.25922 | − | 9.10923i | −0.385624 | − | 0.667921i | ||||
\(187\) | 1.31302 | − | 2.27422i | 0.0960177 | − | 0.166307i | ||||
\(188\) | −4.78897 | −0.349272 | ||||||||
\(189\) | −2.66705 | + | 2.66939i | −0.193999 | + | 0.194169i | ||||
\(190\) | 10.1295 | 0.734869 | ||||||||
\(191\) | 4.39059 | − | 7.60473i | 0.317692 | − | 0.550259i | −0.662314 | − | 0.749226i | \(-0.730425\pi\) |
0.980006 | + | 0.198968i | \(0.0637588\pi\) | |||||||
\(192\) | −0.986880 | − | 1.70933i | −0.0712219 | − | 0.123360i | ||||
\(193\) | 13.4981 | + | 23.3794i | 0.971614 | + | 1.68289i | 0.690684 | + | 0.723157i | \(0.257310\pi\) |
0.280930 | + | 0.959728i | \(0.409357\pi\) | |||||||
\(194\) | −11.1302 | + | 19.2780i | −0.799099 | + | 1.38408i | ||||
\(195\) | −12.4977 | −0.894978 | ||||||||
\(196\) | −7.28302 | + | 4.21337i | −0.520216 | + | 0.300955i | ||||
\(197\) | −20.8256 | −1.48376 | −0.741881 | − | 0.670531i | \(-0.766066\pi\) | ||||
−0.741881 | + | 0.670531i | \(0.766066\pi\) | |||||||
\(198\) | 4.50340 | − | 7.80012i | 0.320043 | − | 0.554331i | ||||
\(199\) | 6.19940 | + | 10.7377i | 0.439464 | + | 0.761173i | 0.997648 | − | 0.0685435i | \(-0.0218352\pi\) |
−0.558184 | + | 0.829717i | \(0.688502\pi\) | |||||||
\(200\) | −0.275183 | − | 0.476630i | −0.0194584 | − | 0.0337029i | ||||
\(201\) | −15.1798 | + | 26.2921i | −1.07070 | + | 1.85450i | ||||
\(202\) | −27.9139 | −1.96402 | ||||||||
\(203\) | 12.1211 | − | 12.1317i | 0.850735 | − | 0.851481i | ||||
\(204\) | 3.47152 | 0.243055 | ||||||||
\(205\) | 1.16033 | − | 2.00974i | 0.0810406 | − | 0.140367i | ||||
\(206\) | 16.5114 | + | 28.5987i | 1.15041 | + | 1.99256i | ||||
\(207\) | 6.99795 | + | 12.1208i | 0.486391 | + | 0.842454i | ||||
\(208\) | 5.75428 | − | 9.96671i | 0.398988 | − | 0.691067i | ||||
\(209\) | −5.14709 | −0.356032 | ||||||||
\(210\) | −6.60975 | − | 24.6247i | −0.456116 | − | 1.69927i | ||||
\(211\) | −18.9338 | −1.30346 | −0.651728 | − | 0.758453i | \(-0.725956\pi\) | ||||
−0.651728 | + | 0.758453i | \(0.725956\pi\) | |||||||
\(212\) | −7.25872 | + | 12.5725i | −0.498531 | + | 0.863481i | ||||
\(213\) | −9.54270 | − | 16.5284i | −0.653855 | − | 1.13251i | ||||
\(214\) | −9.33144 | − | 16.1625i | −0.637884 | − | 1.10485i | ||||
\(215\) | 1.01225 | − | 1.75327i | 0.0690350 | − | 0.119572i | ||||
\(216\) | 2.03659 | 0.138572 | ||||||||
\(217\) | 6.47403 | + | 1.73167i | 0.439486 | + | 0.117553i | ||||
\(218\) | 36.4673 | 2.46988 | ||||||||
\(219\) | 7.48327 | − | 12.9614i | 0.505672 | − | 0.875850i | ||||
\(220\) | −2.94292 | − | 5.09728i | −0.198411 | − | 0.343659i | ||||
\(221\) | 1.44406 | + | 2.50119i | 0.0971382 | + | 0.168248i | ||||
\(222\) | 0.833086 | − | 1.44295i | 0.0559131 | − | 0.0968443i | ||||
\(223\) | −10.7618 | −0.720664 | −0.360332 | − | 0.932824i | \(-0.617337\pi\) | ||||
−0.360332 | + | 0.932824i | \(0.617337\pi\) | |||||||
\(224\) | 15.3817 | + | 4.11430i | 1.02774 | + | 0.274898i | ||||
\(225\) | 0.919392 | 0.0612928 | ||||||||
\(226\) | 1.65373 | − | 2.86434i | 0.110004 | − | 0.190533i | ||||
\(227\) | 10.9523 | + | 18.9699i | 0.726927 | + | 1.25907i | 0.958176 | + | 0.286180i | \(0.0923855\pi\) |
−0.231249 | + | 0.972895i | \(0.574281\pi\) | |||||||
\(228\) | −3.40212 | − | 5.89264i | −0.225311 | − | 0.390249i | ||||
\(229\) | −5.91869 | + | 10.2515i | −0.391118 | + | 0.677437i | −0.992597 | − | 0.121452i | \(-0.961245\pi\) |
0.601479 | + | 0.798889i | \(0.294578\pi\) | |||||||
\(230\) | 24.3644 | 1.60654 | ||||||||
\(231\) | 3.35861 | + | 12.5126i | 0.220981 | + | 0.823268i | ||||
\(232\) | −9.25581 | −0.607674 | ||||||||
\(233\) | −8.44540 | + | 14.6279i | −0.553276 | + | 0.958303i | 0.444759 | + | 0.895650i | \(0.353289\pi\) |
−0.998035 | + | 0.0626525i | \(0.980044\pi\) | |||||||
\(234\) | 4.95285 | + | 8.57859i | 0.323778 | + | 0.560800i | ||||
\(235\) | 4.62295 | + | 8.00719i | 0.301568 | + | 0.522331i | ||||
\(236\) | 6.32217 | − | 10.9503i | 0.411538 | − | 0.712805i | ||||
\(237\) | −9.70278 | −0.630263 | ||||||||
\(238\) | −4.16448 | + | 4.16813i | −0.269943 | + | 0.270180i | ||||
\(239\) | −8.87322 | −0.573961 | −0.286980 | − | 0.957936i | \(-0.592651\pi\) | ||||
−0.286980 | + | 0.957936i | \(0.592651\pi\) | |||||||
\(240\) | −13.3537 | + | 23.1293i | −0.861977 | + | 1.49299i | ||||
\(241\) | 1.12830 | + | 1.95427i | 0.0726801 | + | 0.125886i | 0.900075 | − | 0.435735i | \(-0.143511\pi\) |
−0.827395 | + | 0.561620i | \(0.810178\pi\) | |||||||
\(242\) | −5.85821 | − | 10.1467i | −0.376580 | − | 0.652255i | ||||
\(243\) | −10.0047 | + | 17.3286i | −0.641800 | + | 1.11163i | ||||
\(244\) | 4.60062 | 0.294524 | ||||||||
\(245\) | 14.0753 | + | 8.10995i | 0.899239 | + | 0.518125i | ||||
\(246\) | −4.15260 | −0.264760 | ||||||||
\(247\) | 2.83039 | − | 4.90238i | 0.180093 | − | 0.311931i | ||||
\(248\) | −1.80849 | − | 3.13240i | −0.114839 | − | 0.198908i | ||||
\(249\) | 5.60865 | + | 9.71446i | 0.355434 | + | 0.615629i | ||||
\(250\) | −9.58125 | + | 16.5952i | −0.605972 | + | 1.04957i | ||||
\(251\) | 5.06165 | 0.319488 | 0.159744 | − | 0.987158i | \(-0.448933\pi\) | ||||
0.159744 | + | 0.987158i | \(0.448933\pi\) | |||||||
\(252\) | −5.36181 | + | 5.36651i | −0.337762 | + | 0.338059i | ||||
\(253\) | −12.3803 | −0.778343 | ||||||||
\(254\) | 5.31177 | − | 9.20026i | 0.333290 | − | 0.577276i | ||||
\(255\) | −3.35117 | − | 5.80439i | −0.209858 | − | 0.363485i | ||||
\(256\) | −10.2578 | − | 17.7670i | −0.641110 | − | 1.11043i | ||||
\(257\) | −5.77331 | + | 9.99966i | −0.360129 | + | 0.623762i | −0.987982 | − | 0.154570i | \(-0.950601\pi\) |
0.627853 | + | 0.778332i | \(0.283934\pi\) | |||||||
\(258\) | −3.62267 | −0.225538 | ||||||||
\(259\) | 0.275204 | + | 1.02528i | 0.0171003 | + | 0.0637076i | ||||
\(260\) | 6.47325 | 0.401454 | ||||||||
\(261\) | 7.73096 | − | 13.3904i | 0.478535 | − | 0.828846i | ||||
\(262\) | −18.0791 | − | 31.3139i | −1.11693 | − | 1.93458i | ||||
\(263\) | −1.77693 | − | 3.07773i | −0.109570 | − | 0.189781i | 0.806026 | − | 0.591880i | \(-0.201614\pi\) |
−0.915596 | + | 0.402099i | \(0.868281\pi\) | |||||||
\(264\) | 3.49616 | − | 6.05552i | 0.215174 | − | 0.372692i | ||||
\(265\) | 28.0283 | 1.72177 | ||||||||
\(266\) | 11.1563 | + | 2.98408i | 0.684037 | + | 0.182966i | ||||
\(267\) | −29.0658 | −1.77880 | ||||||||
\(268\) | 7.86246 | − | 13.6182i | 0.480276 | − | 0.831863i | ||||
\(269\) | 0.777216 | + | 1.34618i | 0.0473877 | + | 0.0820779i | 0.888746 | − | 0.458399i | \(-0.151577\pi\) |
−0.841359 | + | 0.540477i | \(0.818244\pi\) | |||||||
\(270\) | 2.96127 | + | 5.12907i | 0.180217 | + | 0.312145i | ||||
\(271\) | 8.13015 | − | 14.0818i | 0.493871 | − | 0.855410i | −0.506104 | − | 0.862473i | \(-0.668915\pi\) |
0.999975 | + | 0.00706233i | \(0.00224803\pi\) | |||||||
\(272\) | 6.17189 | 0.374226 | ||||||||
\(273\) | −13.7646 | − | 3.68175i | −0.833071 | − | 0.222830i | ||||
\(274\) | −34.7855 | −2.10147 | ||||||||
\(275\) | −0.406631 | + | 0.704306i | −0.0245208 | + | 0.0424713i | ||||
\(276\) | −8.18311 | − | 14.1736i | −0.492565 | − | 0.853148i | ||||
\(277\) | −8.05385 | − | 13.9497i | −0.483909 | − | 0.838155i | 0.515920 | − | 0.856637i | \(-0.327450\pi\) |
−0.999829 | + | 0.0184818i | \(0.994117\pi\) | |||||||
\(278\) | 3.01228 | − | 5.21741i | 0.180664 | − | 0.312920i | ||||
\(279\) | 6.04221 | 0.361738 | ||||||||
\(280\) | −2.27290 | − | 8.46774i | −0.135832 | − | 0.506044i | ||||
\(281\) | 31.5830 | 1.88409 | 0.942043 | − | 0.335492i | \(-0.108903\pi\) | ||||
0.942043 | + | 0.335492i | \(0.108903\pi\) | |||||||
\(282\) | 8.27237 | − | 14.3282i | 0.492612 | − | 0.853229i | ||||
\(283\) | 1.94072 | + | 3.36143i | 0.115364 | + | 0.199816i | 0.917925 | − | 0.396754i | \(-0.129863\pi\) |
−0.802561 | + | 0.596570i | \(0.796530\pi\) | |||||||
\(284\) | 4.94270 | + | 8.56100i | 0.293295 | + | 0.508002i | ||||
\(285\) | −6.56835 | + | 11.3767i | −0.389075 | + | 0.673898i | ||||
\(286\) | −8.76225 | −0.518123 | ||||||||
\(287\) | 1.87001 | − | 1.87165i | 0.110383 | − | 0.110480i | ||||
\(288\) | 14.3558 | 0.845922 | ||||||||
\(289\) | 7.72557 | − | 13.3811i | 0.454445 | − | 0.787122i | ||||
\(290\) | −13.4583 | − | 23.3104i | −0.790296 | − | 1.36883i | ||||
\(291\) | −14.4345 | − | 25.0012i | −0.846164 | − | 1.46560i | ||||
\(292\) | −3.87601 | + | 6.71344i | −0.226826 | + | 0.392874i | ||||
\(293\) | 5.31620 | 0.310576 | 0.155288 | − | 0.987869i | \(-0.450370\pi\) | ||||
0.155288 | + | 0.987869i | \(0.450370\pi\) | |||||||
\(294\) | −0.0254755 | − | 29.0682i | −0.00148576 | − | 1.69529i | ||||
\(295\) | −24.4120 | −1.42132 | ||||||||
\(296\) | 0.286474 | − | 0.496188i | 0.0166510 | − | 0.0288403i | ||||
\(297\) | −1.50471 | − | 2.60624i | −0.0873122 | − | 0.151229i | ||||
\(298\) | −8.51802 | − | 14.7536i | −0.493436 | − | 0.854656i | ||||
\(299\) | 6.80794 | − | 11.7917i | 0.393713 | − | 0.681931i | ||||
\(300\) | −1.07510 | −0.0620708 | ||||||||
\(301\) | 1.63137 | − | 1.63280i | 0.0940306 | − | 0.0941131i | ||||
\(302\) | 18.1046 | 1.04180 | ||||||||
\(303\) | 18.1005 | − | 31.3509i | 1.03985 | − | 1.80106i | ||||
\(304\) | −6.04850 | − | 10.4763i | −0.346905 | − | 0.600858i | ||||
\(305\) | −4.44113 | − | 7.69226i | −0.254298 | − | 0.440457i | ||||
\(306\) | −2.65615 | + | 4.60058i | −0.151842 | + | 0.262998i | ||||
\(307\) | −5.13586 | −0.293119 | −0.146559 | − | 0.989202i | \(-0.546820\pi\) | ||||
−0.146559 | + | 0.989202i | \(0.546820\pi\) | |||||||
\(308\) | −1.73962 | − | 6.48097i | −0.0991238 | − | 0.369288i | ||||
\(309\) | −42.8267 | −2.43633 | ||||||||
\(310\) | 5.25922 | − | 9.10923i | 0.298703 | − | 0.517369i | ||||
\(311\) | 14.1344 | + | 24.4815i | 0.801488 | + | 1.38822i | 0.918636 | + | 0.395104i | \(0.129291\pi\) |
−0.117148 | + | 0.993114i | \(0.537375\pi\) | |||||||
\(312\) | 3.84508 | + | 6.65987i | 0.217685 | + | 0.377041i | ||||
\(313\) | −10.6526 | + | 18.4508i | −0.602120 | + | 1.04290i | 0.390379 | + | 0.920654i | \(0.372344\pi\) |
−0.992500 | + | 0.122249i | \(0.960989\pi\) | |||||||
\(314\) | −17.5959 | −0.992992 | ||||||||
\(315\) | 14.1488 | + | 3.78451i | 0.797193 | + | 0.213233i | ||||
\(316\) | 5.02561 | 0.282713 | ||||||||
\(317\) | −8.36242 | + | 14.4841i | −0.469680 | + | 0.813510i | −0.999399 | − | 0.0346631i | \(-0.988964\pi\) |
0.529719 | + | 0.848173i | \(0.322298\pi\) | |||||||
\(318\) | −25.0771 | − | 43.4348i | −1.40625 | − | 2.43570i | ||||
\(319\) | 6.83855 | + | 11.8447i | 0.382885 | + | 0.663177i | ||||
\(320\) | 0.986880 | − | 1.70933i | 0.0551683 | − | 0.0955542i | ||||
\(321\) | 24.2035 | 1.35091 | ||||||||
\(322\) | 26.8343 | + | 7.17762i | 1.49542 | + | 0.399993i | ||||
\(323\) | 3.03580 | 0.168916 | ||||||||
\(324\) | 6.29006 | − | 10.8947i | 0.349448 | − | 0.605261i | ||||
\(325\) | −0.447214 | − | 0.774597i | −0.0248070 | − | 0.0429669i | ||||
\(326\) | −12.2001 | − | 21.1311i | −0.675699 | − | 1.17034i | ||||
\(327\) | −23.6469 | + | 40.9576i | −1.30767 | + | 2.26496i | ||||
\(328\) | −1.42796 | −0.0788458 | ||||||||
\(329\) | 2.73272 | + | 10.1808i | 0.150659 | + | 0.561285i | ||||
\(330\) | 20.3341 | 1.11936 | ||||||||
\(331\) | 1.16445 | − | 2.01688i | 0.0640038 | − | 0.110858i | −0.832248 | − | 0.554404i | \(-0.812946\pi\) |
0.896252 | + | 0.443546i | \(0.146280\pi\) | |||||||
\(332\) | −2.90503 | − | 5.03167i | −0.159434 | − | 0.276149i | ||||
\(333\) | 0.478558 | + | 0.828887i | 0.0262248 | + | 0.0454227i | ||||
\(334\) | 4.16953 | − | 7.22184i | 0.228146 | − | 0.395161i | ||||
\(335\) | −30.3596 | −1.65872 | ||||||||
\(336\) | −21.5211 | + | 21.5400i | −1.17407 | + | 1.17510i | ||||
\(337\) | 4.30942 | 0.234749 | 0.117374 | − | 0.993088i | \(-0.462552\pi\) | ||||
0.117374 | + | 0.993088i | \(0.462552\pi\) | |||||||
\(338\) | −6.81281 | + | 11.8001i | −0.370568 | + | 0.641843i | ||||
\(339\) | 2.14468 | + | 3.71470i | 0.116483 | + | 0.201755i | ||||
\(340\) | 1.73576 | + | 3.00642i | 0.0941347 | + | 0.163046i | ||||
\(341\) | −2.67237 | + | 4.62868i | −0.144717 | + | 0.250657i | ||||
\(342\) | 10.4122 | 0.563026 | ||||||||
\(343\) | 13.1130 | + | 13.0786i | 0.708036 | + | 0.706177i | ||||
\(344\) | −1.24573 | −0.0671654 | ||||||||
\(345\) | −15.7988 | + | 27.3644i | −0.850581 | + | 1.47325i | ||||
\(346\) | 5.34109 | + | 9.25104i | 0.287139 | + | 0.497339i | ||||
\(347\) | −8.73128 | − | 15.1230i | −0.468720 | − | 0.811846i | 0.530641 | − | 0.847597i | \(-0.321951\pi\) |
−0.999361 | + | 0.0357504i | \(0.988618\pi\) | |||||||
\(348\) | −9.04027 | + | 15.6582i | −0.484609 | + | 0.839368i | ||||
\(349\) | 25.6363 | 1.37228 | 0.686139 | − | 0.727471i | \(-0.259304\pi\) | ||||
0.686139 | + | 0.727471i | \(0.259304\pi\) | |||||||
\(350\) | 1.28970 | − | 1.29083i | 0.0689375 | − | 0.0689979i | ||||
\(351\) | 3.30977 | 0.176662 | ||||||||
\(352\) | −6.34932 | + | 10.9973i | −0.338420 | + | 0.586160i | ||||
\(353\) | −8.07544 | − | 13.9871i | −0.429813 | − | 0.744457i | 0.567044 | − | 0.823688i | \(-0.308087\pi\) |
−0.996856 | + | 0.0792305i | \(0.974754\pi\) | |||||||
\(354\) | 21.8415 | + | 37.8307i | 1.16086 | + | 2.01068i | ||||
\(355\) | 9.54270 | − | 16.5284i | 0.506474 | − | 0.877238i | ||||
\(356\) | 15.0548 | 0.797904 | ||||||||
\(357\) | −1.98094 | − | 7.38003i | −0.104842 | − | 0.390593i | ||||
\(358\) | −27.0800 | −1.43122 | ||||||||
\(359\) | −1.07240 | + | 1.85745i | −0.0565991 | + | 0.0980325i | −0.892937 | − | 0.450182i | \(-0.851359\pi\) |
0.836338 | + | 0.548215i | \(0.184692\pi\) | |||||||
\(360\) | −3.95240 | − | 6.84575i | −0.208310 | − | 0.360803i | ||||
\(361\) | 6.52489 | + | 11.3014i | 0.343415 | + | 0.594813i | ||||
\(362\) | −15.9964 | + | 27.7065i | −0.840750 | + | 1.45622i | ||||
\(363\) | 15.1948 | 0.797519 | ||||||||
\(364\) | 7.12946 | + | 1.90698i | 0.373685 | + | 0.0999531i | ||||
\(365\) | 14.9665 | 0.783384 | ||||||||
\(366\) | −7.94700 | + | 13.7646i | −0.415397 | + | 0.719488i | ||||
\(367\) | −2.25245 | − | 3.90137i | −0.117577 | − | 0.203650i | 0.801230 | − | 0.598357i | \(-0.204179\pi\) |
−0.918807 | + | 0.394707i | \(0.870846\pi\) | |||||||
\(368\) | −14.5485 | − | 25.1987i | −0.758391 | − | 1.31357i | ||||
\(369\) | 1.19271 | − | 2.06584i | 0.0620900 | − | 0.107543i | ||||
\(370\) | 1.66617 | 0.0866202 | ||||||||
\(371\) | 30.8696 | + | 8.25698i | 1.60267 | + | 0.428681i | ||||
\(372\) | −7.06551 | −0.366330 | ||||||||
\(373\) | −3.57165 | + | 6.18627i | −0.184933 | + | 0.320313i | −0.943554 | − | 0.331219i | \(-0.892540\pi\) |
0.758621 | + | 0.651532i | \(0.225873\pi\) | |||||||
\(374\) | −2.34954 | − | 4.06952i | −0.121492 | − | 0.210430i | ||||
\(375\) | −12.4257 | − | 21.5220i | −0.641662 | − | 1.11139i | ||||
\(376\) | 2.84463 | − | 4.92704i | 0.146700 | − | 0.254093i | ||||
\(377\) | −15.0421 | −0.774707 | ||||||||
\(378\) | 1.75046 | + | 6.52138i | 0.0900341 | + | 0.335424i | ||||
\(379\) | −6.99123 | −0.359116 | −0.179558 | − | 0.983747i | \(-0.557467\pi\) | ||||
−0.179558 | + | 0.983747i | \(0.557467\pi\) | |||||||
\(380\) | 3.40212 | − | 5.89264i | 0.174525 | − | 0.302286i | ||||
\(381\) | 6.88873 | + | 11.9316i | 0.352920 | + | 0.611276i | ||||
\(382\) | −7.85658 | − | 13.6080i | −0.401978 | − | 0.696246i | ||||
\(383\) | −12.6399 | + | 21.8929i | −0.645868 | + | 1.11868i | 0.338232 | + | 0.941063i | \(0.390171\pi\) |
−0.984100 | + | 0.177614i | \(0.943162\pi\) | |||||||
\(384\) | 24.4001 | 1.24516 | ||||||||
\(385\) | −9.15691 | + | 9.16494i | −0.466679 | + | 0.467088i | ||||
\(386\) | 48.3073 | 2.45878 | ||||||||
\(387\) | 1.04050 | − | 1.80221i | 0.0528918 | − | 0.0916113i | ||||
\(388\) | 7.47643 | + | 12.9495i | 0.379558 | + | 0.657414i | ||||
\(389\) | 11.0170 | + | 19.0820i | 0.558583 | + | 0.967495i | 0.997615 | + | 0.0690231i | \(0.0219882\pi\) |
−0.439032 | + | 0.898472i | \(0.644678\pi\) | |||||||
\(390\) | −11.1818 | + | 19.3674i | −0.566210 | + | 0.980705i | ||||
\(391\) | 7.30201 | 0.369278 | ||||||||
\(392\) | −0.00876029 | − | 9.99571i | −0.000442461 | − | 0.504860i | ||||
\(393\) | 46.8928 | 2.36543 | ||||||||
\(394\) | −18.6328 | + | 32.2729i | −0.938706 | + | 1.62589i | ||||
\(395\) | −4.85139 | − | 8.40285i | −0.244100 | − | 0.422793i | ||||
\(396\) | −3.02506 | − | 5.23955i | −0.152015 | − | 0.263297i | ||||
\(397\) | 11.6891 | − | 20.2461i | 0.586659 | − | 1.01612i | −0.408008 | − | 0.912978i | \(-0.633776\pi\) |
0.994666 | − | 0.103144i | \(-0.0328903\pi\) | |||||||
\(398\) | 22.1866 | 1.11211 | ||||||||
\(399\) | −10.5857 | + | 10.5950i | −0.529948 | + | 0.530413i | ||||
\(400\) | −1.91138 | −0.0955690 | ||||||||
\(401\) | −3.38442 | + | 5.86199i | −0.169010 | + | 0.292734i | −0.938072 | − | 0.346440i | \(-0.887390\pi\) |
0.769062 | + | 0.639174i | \(0.220724\pi\) | |||||||
\(402\) | 27.1629 | + | 47.0475i | 1.35476 | + | 2.34652i | ||||
\(403\) | −2.93907 | − | 5.09063i | −0.146406 | − | 0.253582i | ||||
\(404\) | −9.37525 | + | 16.2384i | −0.466436 | + | 0.807891i | ||||
\(405\) | −24.2880 | −1.20688 | ||||||||
\(406\) | −7.95543 | − | 29.6381i | −0.394822 | − | 1.47092i | ||||
\(407\) | −0.846633 | −0.0419660 | ||||||||
\(408\) | −2.06206 | + | 3.57160i | −0.102087 | + | 0.176820i | ||||
\(409\) | 17.8518 | + | 30.9202i | 0.882713 | + | 1.52890i | 0.848312 | + | 0.529496i | \(0.177619\pi\) |
0.0344010 | + | 0.999408i | \(0.489048\pi\) | |||||||
\(410\) | −2.07630 | − | 3.59626i | −0.102541 | − | 0.177607i | ||||
\(411\) | 22.5563 | − | 39.0686i | 1.11262 | − | 1.92711i | ||||
\(412\) | 22.1824 | 1.09285 | ||||||||
\(413\) | −26.8867 | − | 7.19163i | −1.32301 | − | 0.353877i | ||||
\(414\) | 25.0444 | 1.23087 | ||||||||
\(415\) | −5.60865 | + | 9.71446i | −0.275318 | + | 0.476864i | ||||
\(416\) | −6.98299 | − | 12.0949i | −0.342369 | − | 0.593001i | ||||
\(417\) | 3.90656 | + | 6.76636i | 0.191305 | + | 0.331350i | ||||
\(418\) | −4.60513 | + | 7.97632i | −0.225244 | + | 0.390135i | ||||
\(419\) | −2.83166 | −0.138336 | −0.0691678 | − | 0.997605i | \(-0.522034\pi\) | ||||
−0.0691678 | + | 0.997605i | \(0.522034\pi\) | |||||||
\(420\) | −16.5450 | − | 4.42544i | −0.807312 | − | 0.215940i | ||||
\(421\) | −5.51670 | −0.268867 | −0.134434 | − | 0.990923i | \(-0.542922\pi\) | ||||
−0.134434 | + | 0.990923i | \(0.542922\pi\) | |||||||
\(422\) | −16.9402 | + | 29.3412i | −0.824635 | + | 1.42831i | ||||
\(423\) | 4.75198 | + | 8.23067i | 0.231049 | + | 0.400189i | ||||
\(424\) | −8.62329 | − | 14.9360i | −0.418784 | − | 0.725355i | ||||
\(425\) | 0.239835 | − | 0.415406i | 0.0116337 | − | 0.0201501i | ||||
\(426\) | −34.1516 | −1.65465 | ||||||||
\(427\) | −2.62523 | − | 9.78036i | −0.127044 | − | 0.473305i | ||||
\(428\) | −12.5364 | −0.605968 | ||||||||
\(429\) | 5.68179 | − | 9.84115i | 0.274319 | − | 0.475135i | ||||
\(430\) | −1.81134 | − | 3.13733i | −0.0873504 | − | 0.151295i | ||||
\(431\) | −11.9637 | − | 20.7217i | −0.576271 | − | 0.998131i | −0.995902 | − | 0.0904365i | \(-0.971174\pi\) |
0.419631 | − | 0.907695i | \(-0.362160\pi\) | |||||||
\(432\) | 3.53646 | − | 6.12533i | 0.170148 | − | 0.294705i | ||||
\(433\) | −25.9161 | −1.24545 | −0.622725 | − | 0.782441i | \(-0.713974\pi\) | ||||
−0.622725 | + | 0.782441i | \(0.713974\pi\) | |||||||
\(434\) | 8.47588 | − | 8.48331i | 0.406855 | − | 0.407212i | ||||
\(435\) | 34.9075 | 1.67368 | ||||||||
\(436\) | 12.2480 | − | 21.2142i | 0.586575 | − | 1.01598i | ||||
\(437\) | −7.15603 | − | 12.3946i | −0.342319 | − | 0.592914i | ||||
\(438\) | −13.3907 | − | 23.1933i | −0.639830 | − | 1.10822i | ||||
\(439\) | 5.27036 | − | 9.12853i | 0.251541 | − | 0.435681i | −0.712410 | − | 0.701764i | \(-0.752396\pi\) |
0.963950 | + | 0.266083i | \(0.0857295\pi\) | |||||||
\(440\) | 6.99231 | 0.333346 | ||||||||
\(441\) | 14.4682 | + | 8.33630i | 0.688960 | + | 0.396967i | ||||
\(442\) | 5.16805 | 0.245819 | ||||||||
\(443\) | 0.459102 | − | 0.795189i | 0.0218126 | − | 0.0377805i | −0.854913 | − | 0.518771i | \(-0.826390\pi\) |
0.876726 | + | 0.480991i | \(0.159723\pi\) | |||||||
\(444\) | −0.559606 | − | 0.969266i | −0.0265577 | − | 0.0459993i | ||||
\(445\) | −14.5329 | − | 25.1718i | −0.688926 | − | 1.19326i | ||||
\(446\) | −9.62866 | + | 16.6773i | −0.455930 | + | 0.789694i | ||||
\(447\) | 22.0937 | 1.04500 | ||||||||
\(448\) | 1.59048 | − | 1.59187i | 0.0751431 | − | 0.0752090i | ||||
\(449\) | −18.9072 | −0.892285 | −0.446143 | − | 0.894962i | \(-0.647203\pi\) | ||||
−0.446143 | + | 0.894962i | \(0.647203\pi\) | |||||||
\(450\) | 0.822585 | − | 1.42476i | 0.0387770 | − | 0.0671638i | ||||
\(451\) | 1.05503 | + | 1.82737i | 0.0496795 | + | 0.0860474i | ||||
\(452\) | −1.11085 | − | 1.92405i | −0.0522500 | − | 0.0904997i | ||||
\(453\) | −11.7398 | + | 20.3338i | −0.551582 | + | 0.955367i | ||||
\(454\) | 39.1962 | 1.83957 | ||||||||
\(455\) | −3.69381 | − | 13.7614i | −0.173168 | − | 0.645143i | ||||
\(456\) | 8.08336 | 0.378538 | ||||||||
\(457\) | 19.0894 | − | 33.0639i | 0.892966 | − | 1.54666i | 0.0566645 | − | 0.998393i | \(-0.481953\pi\) |
0.836302 | − | 0.548269i | \(-0.184713\pi\) | |||||||
\(458\) | 10.5910 | + | 18.3441i | 0.494884 | + | 0.857164i | ||||
\(459\) | 0.887491 | + | 1.53718i | 0.0414245 | + | 0.0717494i | ||||
\(460\) | 8.18311 | − | 14.1736i | 0.381539 | − | 0.660846i | ||||
\(461\) | −23.1161 | −1.07662 | −0.538312 | − | 0.842745i | \(-0.680938\pi\) | ||||
−0.538312 | + | 0.842745i | \(0.680938\pi\) | |||||||
\(462\) | 22.3954 | + | 5.99032i | 1.04193 | + | 0.278695i | ||||
\(463\) | 10.4597 | 0.486104 | 0.243052 | − | 0.970013i | \(-0.421851\pi\) | ||||
0.243052 | + | 0.970013i | \(0.421851\pi\) | |||||||
\(464\) | −16.0724 | + | 27.8382i | −0.746141 | + | 1.29235i | ||||
\(465\) | 6.82057 | + | 11.8136i | 0.316296 | + | 0.547841i | ||||
\(466\) | 15.1123 | + | 26.1753i | 0.700064 | + | 1.21255i | ||||
\(467\) | 16.9301 | − | 29.3237i | 0.783430 | − | 1.35694i | −0.146502 | − | 0.989210i | \(-0.546801\pi\) |
0.929932 | − | 0.367731i | \(-0.119865\pi\) | |||||||
\(468\) | 6.65392 | 0.307578 | ||||||||
\(469\) | −33.4372 | − | 8.94376i | −1.54398 | − | 0.412984i | ||||
\(470\) | 16.5447 | 0.763152 | ||||||||
\(471\) | 11.4099 | − | 19.7624i | 0.525738 | − | 0.910605i | ||||
\(472\) | 7.51067 | + | 13.0089i | 0.345707 | + | 0.598782i | ||||
\(473\) | 0.920395 | + | 1.59417i | 0.0423198 | + | 0.0733001i | ||||
\(474\) | −8.68114 | + | 15.0362i | −0.398738 | + | 0.690634i | ||||
\(475\) | −0.940160 | −0.0431375 | ||||||||
\(476\) | 1.02604 | + | 3.82253i | 0.0470285 | + | 0.175205i | ||||
\(477\) | 28.8106 | 1.31915 | ||||||||
\(478\) | −7.93892 | + | 13.7506i | −0.363118 | + | 0.628938i | ||||
\(479\) | 11.6199 | + | 20.1262i | 0.530926 | + | 0.919591i | 0.999349 | + | 0.0360861i | \(0.0114891\pi\) |
−0.468423 | + | 0.883504i | \(0.655178\pi\) | |||||||
\(480\) | 16.2051 | + | 28.0680i | 0.739657 | + | 1.28112i | ||||
\(481\) | 0.465564 | − | 0.806381i | 0.0212279 | − | 0.0367678i | ||||
\(482\) | 4.03798 | 0.183925 | ||||||||
\(483\) | −25.4618 | + | 25.4841i | −1.15855 | + | 1.15957i | ||||
\(484\) | −7.87023 | −0.357738 | ||||||||
\(485\) | 14.4345 | − | 25.0012i | 0.655436 | − | 1.13525i | ||||
\(486\) | 17.9025 | + | 31.0080i | 0.812073 | + | 1.40655i | ||||
\(487\) | 13.8023 | + | 23.9063i | 0.625442 | + | 1.08330i | 0.988455 | + | 0.151513i | \(0.0484147\pi\) |
−0.363013 | + | 0.931784i | \(0.618252\pi\) | |||||||
\(488\) | −2.73274 | + | 4.73325i | −0.123706 | + | 0.214264i | ||||
\(489\) | 31.6440 | 1.43099 | ||||||||
\(490\) | 25.1611 | − | 14.5562i | 1.13666 | − | 0.657580i | ||||
\(491\) | 26.6973 | 1.20483 | 0.602415 | − | 0.798183i | \(-0.294205\pi\) | ||||
0.602415 | + | 0.798183i | \(0.294205\pi\) | |||||||
\(492\) | −1.39471 | + | 2.41570i | −0.0628782 | + | 0.108908i | ||||
\(493\) | −4.03344 | − | 6.98612i | −0.181657 | − | 0.314639i | ||||
\(494\) | −5.06473 | − | 8.77238i | −0.227873 | − | 0.394688i | ||||
\(495\) | −5.84037 | + | 10.1158i | −0.262505 | + | 0.454672i | ||||
\(496\) | −12.5615 | −0.564029 | ||||||||
\(497\) | 15.3792 | − | 15.3927i | 0.689853 | − | 0.690458i | ||||
\(498\) | 20.0724 | 0.899464 | ||||||||
\(499\) | 1.94594 | − | 3.37047i | 0.0871122 | − | 0.150883i | −0.819177 | − | 0.573541i | \(-0.805569\pi\) |
0.906289 | + | 0.422658i | \(0.138903\pi\) | |||||||
\(500\) | 6.43598 | + | 11.1474i | 0.287826 | + | 0.498529i | ||||
\(501\) | 5.40738 | + | 9.36585i | 0.241584 | + | 0.418435i | ||||
\(502\) | 4.52869 | − | 7.84392i | 0.202125 | − | 0.350091i | ||||
\(503\) | −29.7118 | −1.32478 | −0.662392 | − | 0.749158i | \(-0.730458\pi\) | ||||
−0.662392 | + | 0.749158i | \(0.730458\pi\) | |||||||
\(504\) | −2.33634 | − | 8.70407i | −0.104069 | − | 0.387710i | ||||
\(505\) | 36.2009 | 1.61092 | ||||||||
\(506\) | −11.0767 | + | 19.1855i | −0.492421 | + | 0.852898i | ||||
\(507\) | −8.83539 | − | 15.3033i | −0.392393 | − | 0.679645i | ||||
\(508\) | −3.56806 | − | 6.18006i | −0.158307 | − | 0.274196i | ||||
\(509\) | −16.8364 | + | 29.1615i | −0.746261 | + | 1.29256i | 0.203342 | + | 0.979108i | \(0.434820\pi\) |
−0.949603 | + | 0.313455i | \(0.898514\pi\) | |||||||
\(510\) | −11.9932 | −0.531070 | ||||||||
\(511\) | 16.4837 | + | 4.40906i | 0.729197 | + | 0.195045i | ||||
\(512\) | −15.6820 | −0.693055 | ||||||||
\(513\) | 1.73950 | − | 3.01290i | 0.0768007 | − | 0.133023i | ||||
\(514\) | 10.3308 | + | 17.8935i | 0.455673 | + | 0.789249i | ||||
\(515\) | −21.4134 | − | 37.0890i | −0.943585 | − | 1.63434i | ||||
\(516\) | −1.21672 | + | 2.10743i | −0.0535632 | + | 0.0927742i | ||||
\(517\) | −8.40688 | −0.369734 | ||||||||
\(518\) | 1.83507 | + | 0.490845i | 0.0806286 | + | 0.0215665i | ||||
\(519\) | −13.8535 | −0.608101 | ||||||||
\(520\) | −3.84508 | + | 6.65987i | −0.168618 | + | 0.292055i | ||||
\(521\) | 10.8627 | + | 18.8147i | 0.475902 | + | 0.824286i | 0.999619 | − | 0.0276065i | \(-0.00878854\pi\) |
−0.523717 | + | 0.851892i | \(0.675455\pi\) | |||||||
\(522\) | −13.8339 | − | 23.9610i | −0.605492 | − | 1.04874i | ||||
\(523\) | 12.7245 | − | 22.0394i | 0.556403 | − | 0.963718i | −0.441390 | − | 0.897315i | \(-0.645515\pi\) |
0.997793 | − | 0.0664025i | \(-0.0211521\pi\) | |||||||
\(524\) | −24.2884 | −1.06105 | ||||||||
\(525\) | 0.613480 | + | 2.28553i | 0.0267744 | + | 0.0997487i | ||||
\(526\) | −6.35932 | −0.277280 | ||||||||
\(527\) | 1.57619 | − | 2.73003i | 0.0686597 | − | 0.118922i | ||||
\(528\) | −12.1419 | − | 21.0304i | −0.528408 | − | 0.915230i | ||||
\(529\) | −5.71240 | − | 9.89417i | −0.248365 | − | 0.430181i | ||||
\(530\) | 25.0771 | − | 43.4348i | 1.08928 | − | 1.88669i | ||||
\(531\) | −25.0933 | −1.08896 | ||||||||
\(532\) | 5.48293 | − | 5.48774i | 0.237715 | − | 0.237924i | ||||
\(533\) | −2.32065 | −0.100519 | ||||||||
\(534\) | −26.0054 | + | 45.0426i | −1.12536 | + | 1.94919i | ||||
\(535\) | 12.1018 | + | 20.9609i | 0.523204 | + | 0.906217i | ||||
\(536\) | 9.34052 | + | 16.1783i | 0.403449 | + | 0.698795i | ||||
\(537\) | 17.5598 | − | 30.4144i | 0.757759 | − | 1.31248i | ||||
\(538\) | 2.78152 | 0.119920 | ||||||||
\(539\) | −12.7851 | + | 7.39643i | −0.550693 | + | 0.318587i | ||||
\(540\) | 3.97832 | 0.171200 | ||||||||
\(541\) | 9.86020 | − | 17.0784i | 0.423923 | − | 0.734257i | −0.572396 | − | 0.819977i | \(-0.693986\pi\) |
0.996319 | + | 0.0857207i | \(0.0273193\pi\) | |||||||
\(542\) | −14.5482 | − | 25.1982i | −0.624898 | − | 1.08236i | ||||
\(543\) | −20.7453 | − | 35.9320i | −0.890268 | − | 1.54199i | ||||
\(544\) | 3.74488 | − | 6.48633i | 0.160560 | − | 0.278099i | ||||
\(545\) | −47.2937 | −2.02584 | ||||||||
\(546\) | −18.0208 | + | 18.0366i | −0.771218 | + | 0.771895i | ||||
\(547\) | 24.9225 | 1.06561 | 0.532804 | − | 0.846239i | \(-0.321138\pi\) | ||||
0.532804 | + | 0.846239i | \(0.321138\pi\) | |||||||
\(548\) | −11.6832 | + | 20.2358i | −0.499080 | + | 0.864431i | ||||
\(549\) | −4.56508 | − | 7.90695i | −0.194833 | − | 0.337460i | ||||
\(550\) | 0.727631 | + | 1.26029i | 0.0310263 | + | 0.0537391i | ||||
\(551\) | −7.90560 | + | 13.6929i | −0.336790 | + | 0.583337i | ||||
\(552\) | 19.4429 | 0.827545 | ||||||||
\(553\) | −2.86775 | − | 10.6839i | −0.121949 | − | 0.454324i | ||||
\(554\) | −28.8233 | −1.22458 | ||||||||
\(555\) | −1.08041 | + | 1.87133i | −0.0458609 | + | 0.0794335i | ||||
\(556\) | −2.02343 | − | 3.50468i | −0.0858124 | − | 0.148631i | ||||
\(557\) | 6.47467 | + | 11.2145i | 0.274341 | + | 0.475172i | 0.969969 | − | 0.243230i | \(-0.0782071\pi\) |
−0.695628 | + | 0.718402i | \(0.744874\pi\) | |||||||
\(558\) | 5.40600 | − | 9.36347i | 0.228854 | − | 0.396387i | ||||
\(559\) | −2.02450 | −0.0856274 | ||||||||
\(560\) | −29.4147 | − | 7.86784i | −1.24300 | − | 0.332477i | ||||
\(561\) | 6.09413 | 0.257294 | ||||||||
\(562\) | 28.2575 | − | 48.9435i | 1.19197 | − | 2.06456i | ||||
\(563\) | −18.3080 | − | 31.7105i | −0.771592 | − | 1.33644i | −0.936690 | − | 0.350159i | \(-0.886127\pi\) |
0.165098 | − | 0.986277i | \(-0.447206\pi\) | |||||||
\(564\) | −5.55677 | − | 9.62460i | −0.233982 | − | 0.405269i | ||||
\(565\) | −2.14468 | + | 3.71470i | −0.0902274 | + | 0.156279i | ||||
\(566\) | 6.94550 | 0.291941 | ||||||||
\(567\) | −26.7501 | − | 7.15511i | −1.12340 | − | 0.300486i | ||||
\(568\) | −11.7438 | −0.492757 | ||||||||
\(569\) | −7.41077 | + | 12.8358i | −0.310675 | + | 0.538106i | −0.978509 | − | 0.206205i | \(-0.933889\pi\) |
0.667833 | + | 0.744311i | \(0.267222\pi\) | |||||||
\(570\) | 11.7535 | + | 20.3576i | 0.492299 | + | 0.852687i | ||||
\(571\) | −5.37734 | − | 9.31382i | −0.225035 | − | 0.389771i | 0.731295 | − | 0.682061i | \(-0.238916\pi\) |
−0.956330 | + | 0.292290i | \(0.905583\pi\) | |||||||
\(572\) | −2.94292 | + | 5.09728i | −0.123050 | + | 0.213128i | ||||
\(573\) | 20.3781 | 0.851306 | ||||||||
\(574\) | −1.22734 | − | 4.57248i | −0.0512282 | − | 0.190852i | ||||
\(575\) | −2.26137 | −0.0943055 | ||||||||
\(576\) | 1.01442 | − | 1.75703i | 0.0422677 | − | 0.0732097i | ||||
\(577\) | −4.56980 | − | 7.91513i | −0.190243 | − | 0.329511i | 0.755087 | − | 0.655624i | \(-0.227594\pi\) |
−0.945331 | + | 0.326113i | \(0.894261\pi\) | |||||||
\(578\) | −13.8242 | − | 23.9443i | −0.575012 | − | 0.995950i | ||||
\(579\) | −31.3244 | + | 54.2554i | −1.30180 | + | 2.25478i | ||||
\(580\) | −18.0805 | −0.750753 | ||||||||
\(581\) | −9.03903 | + | 9.04696i | −0.375002 | + | 0.375331i | ||||
\(582\) | −51.6584 | −2.14131 | ||||||||
\(583\) | −12.7424 | + | 22.0706i | −0.527738 | + | 0.914069i | ||||
\(584\) | −4.60466 | − | 7.97550i | −0.190542 | − | 0.330028i | ||||
\(585\) | −6.42325 | − | 11.1254i | −0.265569 | − | 0.459978i | ||||
\(586\) | 4.75644 | − | 8.23839i | 0.196487 | − | 0.340325i | ||||
\(587\) | 20.2730 | 0.836757 | 0.418379 | − | 0.908273i | \(-0.362599\pi\) | ||||
0.418379 | + | 0.908273i | \(0.362599\pi\) | |||||||
\(588\) | −16.9185 | − | 9.74812i | −0.697706 | − | 0.402006i | ||||
\(589\) | −6.17870 | −0.254589 | ||||||||
\(590\) | −21.8415 | + | 37.8307i | −0.899202 | + | 1.55746i | ||||
\(591\) | −24.1645 | − | 41.8541i | −0.993994 | − | 1.72165i | ||||
\(592\) | −0.994904 | − | 1.72322i | −0.0408903 | − | 0.0708241i | ||||
\(593\) | 20.6018 | − | 35.6834i | 0.846015 | − | 1.46534i | −0.0387213 | − | 0.999250i | \(-0.512328\pi\) |
0.884737 | − | 0.466091i | \(-0.154338\pi\) | |||||||
\(594\) | −5.38509 | −0.220953 | ||||||||
\(595\) | 5.40082 | − | 5.40556i | 0.221412 | − | 0.221606i | ||||
\(596\) | −11.4436 | −0.468747 | ||||||||
\(597\) | −14.3866 | + | 24.9184i | −0.588806 | + | 1.01984i | ||||
\(598\) | −12.1822 | − | 21.1002i | −0.498167 | − | 0.862851i | ||||
\(599\) | 11.3643 | + | 19.6835i | 0.464333 | + | 0.804248i | 0.999171 | − | 0.0407067i | \(-0.0129609\pi\) |
−0.534839 | + | 0.844954i | \(0.679628\pi\) | |||||||
\(600\) | 0.638603 | − | 1.10609i | 0.0260709 | − | 0.0451561i | ||||
\(601\) | 1.17763 | 0.0480364 | 0.0240182 | − | 0.999712i | \(-0.492354\pi\) | ||||
0.0240182 | + | 0.999712i | \(0.492354\pi\) | |||||||
\(602\) | −1.07072 | − | 3.98897i | −0.0436391 | − | 0.162578i | ||||
\(603\) | −31.2069 | −1.27084 | ||||||||
\(604\) | 6.08068 | − | 10.5320i | 0.247419 | − | 0.428543i | ||||
\(605\) | 7.59739 | + | 13.1591i | 0.308878 | + | 0.534992i | ||||
\(606\) | −32.3892 | − | 56.0998i | −1.31572 | − | 2.27890i | ||||
\(607\) | 5.76102 | − | 9.97839i | 0.233833 | − | 0.405010i | −0.725100 | − | 0.688644i | \(-0.758207\pi\) |
0.958933 | + | 0.283633i | \(0.0915399\pi\) | |||||||
\(608\) | −14.6801 | −0.595355 | ||||||||
\(609\) | 38.4461 | + | 10.2835i | 1.55791 | + | 0.416710i | ||||
\(610\) | −15.8940 | −0.643530 | ||||||||
\(611\) | 4.62295 | − | 8.00719i | 0.187025 | − | 0.323936i | ||||
\(612\) | 1.78420 | + | 3.09033i | 0.0721222 | + | 0.124919i | ||||
\(613\) | −7.51557 | − | 13.0174i | −0.303551 | − | 0.525766i | 0.673387 | − | 0.739291i | \(-0.264839\pi\) |
−0.976938 | + | 0.213525i | \(0.931506\pi\) | |||||||
\(614\) | −4.59508 | + | 7.95891i | −0.185442 | + | 0.321196i | ||||
\(615\) | 5.38542 | 0.217161 | ||||||||
\(616\) | 7.70114 | + | 2.05990i | 0.310288 | + | 0.0829956i | ||||
\(617\) | −14.3301 | −0.576909 | −0.288454 | − | 0.957494i | \(-0.593141\pi\) | ||||
−0.288454 | + | 0.957494i | \(0.593141\pi\) | |||||||
\(618\) | −38.3173 | + | 66.3675i | −1.54135 | + | 2.66969i | ||||
\(619\) | 23.5218 | + | 40.7410i | 0.945422 | + | 1.63752i | 0.754904 | + | 0.655835i | \(0.227683\pi\) |
0.190518 | + | 0.981684i | \(0.438983\pi\) | |||||||
\(620\) | −3.53275 | − | 6.11891i | −0.141879 | − | 0.245741i | ||||
\(621\) | 4.18402 | − | 7.24693i | 0.167899 | − | 0.290809i | ||||
\(622\) | 50.5845 | 2.02826 | ||||||||
\(623\) | −8.59069 | − | 32.0048i | −0.344179 | − | 1.28224i | ||||
\(624\) | 26.7074 | 1.06915 | ||||||||
\(625\) | 13.3893 | − | 23.1909i | 0.535571 | − | 0.927636i | ||||
\(626\) | 19.0619 | + | 33.0161i | 0.761866 | + | 1.31959i | ||||
\(627\) | −5.97230 | − | 10.3443i | −0.238511 | − | 0.413113i | ||||
\(628\) | −5.90980 | + | 10.2361i | −0.235827 | + | 0.408464i | ||||
\(629\) | 0.499351 | 0.0199104 | ||||||||
\(630\) | 18.5237 | − | 18.5400i | 0.738004 | − | 0.738651i | ||||
\(631\) | −1.71098 | −0.0681130 | −0.0340565 | − | 0.999420i | \(-0.510843\pi\) | ||||
−0.0340565 | + | 0.999420i | \(0.510843\pi\) | |||||||
\(632\) | −2.98519 | + | 5.17050i | −0.118745 | + | 0.205672i | ||||
\(633\) | −21.9694 | − | 38.0520i | −0.873203 | − | 1.51243i | ||||
\(634\) | 14.9638 | + | 25.9181i | 0.594289 | + | 1.02934i | ||||
\(635\) | −6.88873 | + | 11.9316i | −0.273371 | + | 0.473492i | ||||
\(636\) | −33.6899 | −1.33589 | ||||||||
\(637\) | −0.0142368 | − | 16.2446i | −0.000564083 | − | 0.643633i | ||||
\(638\) | 24.4740 | 0.968934 | ||||||||
\(639\) | 9.80903 | − | 16.9897i | 0.388039 | − | 0.672104i | ||||
\(640\) | 12.2000 | + | 21.1311i | 0.482249 | + | 0.835280i | ||||
\(641\) | −0.179763 | − | 0.311359i | −0.00710022 | − | 0.0122979i | 0.862453 | − | 0.506136i | \(-0.168927\pi\) |
−0.869554 | + | 0.493838i | \(0.835593\pi\) | |||||||
\(642\) | 21.6550 | − | 37.5076i | 0.854656 | − | 1.48031i | ||||
\(643\) | −28.7086 | −1.13216 | −0.566078 | − | 0.824352i | \(-0.691540\pi\) | ||||
−0.566078 | + | 0.824352i | \(0.691540\pi\) | |||||||
\(644\) | 13.1881 | − | 13.1997i | 0.519684 | − | 0.520140i | ||||
\(645\) | 4.69817 | 0.184990 | ||||||||
\(646\) | 2.71615 | − | 4.70450i | 0.106865 | − | 0.185096i | ||||
\(647\) | −0.0618297 | − | 0.107092i | −0.00243078 | − | 0.00421023i | 0.864807 | − | 0.502104i | \(-0.167440\pi\) |
−0.867238 | + | 0.497893i | \(0.834107\pi\) | |||||||
\(648\) | 7.47253 | + | 12.9428i | 0.293549 | + | 0.508441i | ||||
\(649\) | 11.0984 | − | 19.2229i | 0.435648 | − | 0.754565i | ||||
\(650\) | −1.60050 | −0.0627768 | ||||||||
\(651\) | 4.03177 | + | 15.0204i | 0.158017 | + | 0.588697i | ||||
\(652\) | −16.3902 | −0.641890 | ||||||||
\(653\) | 19.6280 | − | 33.9967i | 0.768103 | − | 1.33039i | −0.170487 | − | 0.985360i | \(-0.554534\pi\) |
0.938590 | − | 0.345034i | \(-0.112133\pi\) | |||||||
\(654\) | 42.3140 | + | 73.2900i | 1.65461 | + | 2.86586i | ||||
\(655\) | 23.4464 | + | 40.6104i | 0.916128 | + | 1.58678i | ||||
\(656\) | −2.47960 | + | 4.29479i | −0.0968121 | + | 0.167683i | ||||
\(657\) | 15.3843 | 0.600197 | ||||||||
\(658\) | 18.2219 | + | 4.87399i | 0.710364 | + | 0.190008i | ||||
\(659\) | −25.6293 | −0.998374 | −0.499187 | − | 0.866494i | \(-0.666368\pi\) | ||||
−0.499187 | + | 0.866494i | \(0.666368\pi\) | |||||||
\(660\) | 6.82948 | − | 11.8290i | 0.265837 | − | 0.460444i | ||||
\(661\) | −5.72942 | − | 9.92365i | −0.222849 | − | 0.385985i | 0.732823 | − | 0.680419i | \(-0.238202\pi\) |
−0.955672 | + | 0.294434i | \(0.904869\pi\) | |||||||
\(662\) | −2.08367 | − | 3.60903i | −0.0809843 | − | 0.140269i | ||||
\(663\) | −3.35117 | + | 5.80439i | −0.130149 | + | 0.225424i | ||||
\(664\) | 6.90230 | 0.267861 | ||||||||
\(665\) | −14.4684 | − | 3.87000i | −0.561060 | − | 0.150072i | ||||
\(666\) | 1.71268 | 0.0663648 | ||||||||
\(667\) | −19.0154 | + | 32.9356i | −0.736277 | + | 1.27527i | ||||
\(668\) | −2.80078 | − | 4.85110i | −0.108366 | − | 0.187695i | ||||
\(669\) | −12.4872 | − | 21.6285i | −0.482783 | − | 0.836205i | ||||
\(670\) | −27.1629 | + | 47.0475i | −1.04939 | + | 1.81760i | ||||
\(671\) | 8.07623 | 0.311779 | ||||||||
\(672\) | 9.57914 | + | 35.6873i | 0.369523 | + | 1.37667i | ||||
\(673\) | 42.6903 | 1.64559 | 0.822795 | − | 0.568338i | \(-0.192413\pi\) | ||||
0.822795 | + | 0.568338i | \(0.192413\pi\) | |||||||
\(674\) | 3.85566 | − | 6.67820i | 0.148514 | − | 0.257235i | ||||
\(675\) | −0.274848 | − | 0.476051i | −0.0105789 | − | 0.0183232i | ||||
\(676\) | 4.57634 | + | 7.92646i | 0.176013 | + | 0.304864i | ||||
\(677\) | 0.00725772 | − | 0.0125707i | 0.000278937 | − | 0.000483133i | −0.865886 | − | 0.500242i | \(-0.833245\pi\) |
0.866165 | + | 0.499758i | \(0.166578\pi\) | |||||||
\(678\) | 7.67544 | 0.294773 | ||||||||
\(679\) | 23.2630 | − | 23.2833i | 0.892750 | − | 0.893533i | ||||
\(680\) | −4.12413 | −0.158153 | ||||||||
\(681\) | −25.4164 | + | 44.0225i | −0.973958 | + | 1.68694i | ||||
\(682\) | 4.78197 | + | 8.28261i | 0.183111 | + | 0.317158i | ||||
\(683\) | 7.71563 | + | 13.3639i | 0.295230 | + | 0.511354i | 0.975038 | − | 0.222036i | \(-0.0712703\pi\) |
−0.679808 | + | 0.733390i | \(0.737937\pi\) | |||||||
\(684\) | 3.49707 | − | 6.05710i | 0.133714 | − | 0.231599i | ||||
\(685\) | 45.1125 | 1.72366 | ||||||||
\(686\) | 31.9998 | − | 8.61943i | 1.22176 | − | 0.329092i | ||||
\(687\) | −27.4704 | −1.04806 | ||||||||
\(688\) | −2.16317 | + | 3.74672i | −0.0824700 | + | 0.142842i | ||||
\(689\) | −14.0142 | − | 24.2732i | −0.533897 | − | 0.924736i | ||||
\(690\) | 28.2706 | + | 48.9662i | 1.07625 | + | 1.86411i | ||||
\(691\) | 5.05570 | − | 8.75673i | 0.192328 | − | 0.333122i | −0.753693 | − | 0.657226i | \(-0.771730\pi\) |
0.946021 | + | 0.324104i | \(0.105063\pi\) | |||||||
\(692\) | 7.17550 | 0.272772 | ||||||||
\(693\) | −9.41248 | + | 9.42073i | −0.357551 | + | 0.357864i | ||||
\(694\) | −31.2477 | −1.18615 | ||||||||
\(695\) | −3.90656 | + | 6.76636i | −0.148184 | + | 0.256663i | ||||
\(696\) | −10.7397 | − | 18.6018i | −0.407089 | − | 0.705099i | ||||
\(697\) | −0.622267 | − | 1.07780i | −0.0235700 | − | 0.0408245i | ||||
\(698\) | 22.9369 | − | 39.7279i | 0.868175 | − | 1.50372i | ||||
\(699\) | −39.1976 | −1.48259 | ||||||||
\(700\) | −0.317756 | − | 1.18380i | −0.0120100 | − | 0.0447436i | ||||
\(701\) | 12.5561 | 0.474239 | 0.237120 | − | 0.971480i | \(-0.423797\pi\) | ||||
0.237120 | + | 0.971480i | \(0.423797\pi\) | |||||||
\(702\) | 2.96127 | − | 5.12907i | 0.111766 | − | 0.193584i | ||||
\(703\) | −0.489369 | − | 0.847611i | −0.0184569 | − | 0.0319683i | ||||
\(704\) | 0.897325 | + | 1.55421i | 0.0338192 | + | 0.0585766i | ||||
\(705\) | −10.7283 | + | 18.5819i | −0.404050 | + | 0.699834i | ||||
\(706\) | −28.9006 | −1.08769 | ||||||||
\(707\) | 39.8707 | + | 10.6646i | 1.49949 | + | 0.401084i | ||||
\(708\) | 29.3431 | 1.10278 | ||||||||
\(709\) | −18.9610 | + | 32.8414i | −0.712094 | + | 1.23338i | 0.251975 | + | 0.967734i | \(0.418920\pi\) |
−0.964070 | + | 0.265650i | \(0.914413\pi\) | |||||||
\(710\) | −17.0758 | − | 29.5762i | −0.640844 | − | 1.10997i | ||||
\(711\) | −4.98679 | − | 8.63738i | −0.187019 | − | 0.323927i | ||||
\(712\) | −8.94250 | + | 15.4889i | −0.335134 | + | 0.580469i | ||||
\(713\) | −14.8616 | −0.556573 | ||||||||
\(714\) | −13.2090 | − | 3.53314i | −0.494335 | − | 0.132225i | ||||
\(715\) | 11.3636 | 0.424974 | ||||||||
\(716\) | −9.09518 | + | 15.7533i | −0.339903 | + | 0.588729i | ||||
\(717\) | −10.2958 | − | 17.8329i | −0.384504 | − | 0.665981i | ||||
\(718\) | 1.91896 | + | 3.32374i | 0.0716151 | + | 0.124041i | ||||
\(719\) | 0.535531 | − | 0.927567i | 0.0199719 | − | 0.0345924i | −0.855867 | − | 0.517196i | \(-0.826976\pi\) |
0.875839 | + | 0.482604i | \(0.160309\pi\) | |||||||
\(720\) | −27.4528 | −1.02310 | ||||||||
\(721\) | −12.6578 | − | 47.1570i | −0.471403 | − | 1.75622i | ||||
\(722\) | 23.3514 | 0.869051 | ||||||||
\(723\) | −2.61839 | + | 4.53518i | −0.0973789 | + | 0.168665i | ||||
\(724\) | 10.7452 | + | 18.6112i | 0.399342 | + | 0.691680i | ||||
\(725\) | 1.24912 | + | 2.16354i | 0.0463911 | + | 0.0803518i | ||||
\(726\) | 13.5949 | − | 23.5470i | 0.504552 | − | 0.873910i | ||||
\(727\) | −33.3789 | −1.23795 | −0.618977 | − | 0.785409i | \(-0.712453\pi\) | ||||
−0.618977 | + | 0.785409i | \(0.712453\pi\) | |||||||
\(728\) | −6.19682 | + | 6.20226i | −0.229670 | + | 0.229871i | ||||
\(729\) | −15.0366 | −0.556911 | ||||||||
\(730\) | 13.3907 | − | 23.1933i | 0.495610 | − | 0.858422i | ||||
\(731\) | −0.542857 | − | 0.940256i | −0.0200783 | − | 0.0347766i | ||||
\(732\) | 5.33821 | + | 9.24606i | 0.197306 | + | 0.341744i | ||||
\(733\) | 0.926857 | − | 1.60536i | 0.0342343 | − | 0.0592955i | −0.848401 | − | 0.529355i | \(-0.822434\pi\) |
0.882635 | + | 0.470059i | \(0.155767\pi\) | |||||||
\(734\) | −8.06114 | −0.297542 | ||||||||
\(735\) | 0.0330386 | + | 37.6979i | 0.00121865 | + | 1.39051i | ||||
\(736\) | −35.3100 | −1.30154 | ||||||||
\(737\) | 13.8023 | − | 23.9063i | 0.508414 | − | 0.880598i | ||||
\(738\) | −2.13425 | − | 3.69663i | −0.0785629 | − | 0.136075i | ||||
\(739\) | 7.58650 | + | 13.1402i | 0.279074 | + | 0.483370i | 0.971155 | − | 0.238450i | \(-0.0766393\pi\) |
−0.692081 | + | 0.721820i | \(0.743306\pi\) | |||||||
\(740\) | 0.559606 | − | 0.969266i | 0.0205715 | − | 0.0356309i | ||||
\(741\) | 13.1367 | 0.482588 | ||||||||
\(742\) | 40.4149 | − | 40.4503i | 1.48368 | − | 1.48498i | ||||
\(743\) | −11.9780 | −0.439430 | −0.219715 | − | 0.975564i | \(-0.570513\pi\) | ||||
−0.219715 | + | 0.975564i | \(0.570513\pi\) | |||||||
\(744\) | 4.19688 | − | 7.26921i | 0.153865 | − | 0.266502i | ||||
\(745\) | 11.0468 | + | 19.1337i | 0.404725 | + | 0.701004i | ||||
\(746\) | 6.39115 | + | 11.0698i | 0.233997 | + | 0.405294i | ||||
\(747\) | −5.76519 | + | 9.98560i | −0.210937 | + | 0.365354i | ||||
\(748\) | −3.15649 | −0.115413 | ||||||||
\(749\) | 7.15358 | + | 26.6508i | 0.261386 | + | 0.973799i | ||||
\(750\) | −44.4695 | −1.62380 | ||||||||
\(751\) | 8.56037 | − | 14.8270i | 0.312372 | − | 0.541045i | −0.666503 | − | 0.745502i | \(-0.732210\pi\) |
0.978875 | + | 0.204457i | \(0.0655430\pi\) | |||||||
\(752\) | −9.87918 | − | 17.1112i | −0.360257 | − | 0.623983i | ||||
\(753\) | 5.87316 | + | 10.1726i | 0.214030 | + | 0.370711i | ||||
\(754\) | −13.4583 | + | 23.3104i | −0.490121 | + | 0.848914i | ||||
\(755\) | −23.4795 | −0.854507 | ||||||||
\(756\) | 4.38161 | + | 1.17199i | 0.159358 | + | 0.0426249i | ||||
\(757\) | 33.6949 | 1.22466 | 0.612330 | − | 0.790602i | \(-0.290232\pi\) | ||||
0.612330 | + | 0.790602i | \(0.290232\pi\) | |||||||
\(758\) | −6.25510 | + | 10.8341i | −0.227195 | + | 0.393514i | ||||
\(759\) | −14.3652 | − | 24.8812i | −0.521423 | − | 0.903131i | ||||
\(760\) | 4.04168 | + | 7.00039i | 0.146607 | + | 0.253931i | ||||
\(761\) | −4.12485 | + | 7.14444i | −0.149526 | + | 0.258986i | −0.931052 | − | 0.364886i | \(-0.881108\pi\) |
0.781527 | + | 0.623872i | \(0.214441\pi\) | |||||||
\(762\) | 24.6535 | 0.893104 | ||||||||
\(763\) | −52.0880 | − | 13.9325i | −1.88571 | − | 0.504389i | ||||
\(764\) | −10.5549 | −0.381865 | ||||||||
\(765\) | 3.44470 | − | 5.96640i | 0.124543 | − | 0.215715i | ||||
\(766\) | 22.6180 | + | 39.1755i | 0.817221 | + | 1.41547i | ||||
\(767\) | 12.2060 | + | 21.1414i | 0.440733 | + | 0.763371i | ||||
\(768\) | 23.8047 | − | 41.2309i | 0.858977 | − | 1.48779i | ||||
\(769\) | −0.583432 | −0.0210391 | −0.0105196 | − | 0.999945i | \(-0.503349\pi\) | ||||
−0.0105196 | + | 0.999945i | \(0.503349\pi\) | |||||||
\(770\) | 6.00994 | + | 22.3902i | 0.216583 | + | 0.806886i | ||||
\(771\) | −26.7957 | −0.965022 | ||||||||
\(772\) | 16.2246 | − | 28.1019i | 0.583938 | − | 1.01141i | ||||
\(773\) | −12.9555 | − | 22.4397i | −0.465978 | − | 0.807098i | 0.533267 | − | 0.845947i | \(-0.320964\pi\) |
−0.999245 | + | 0.0388489i | \(0.987631\pi\) | |||||||
\(774\) | −1.86189 | − | 3.22489i | −0.0669243 | − | 0.115916i | ||||
\(775\) | −0.488131 | + | 0.845467i | −0.0175342 | + | 0.0303701i | ||||
\(776\) | −17.7638 | −0.637685 | ||||||||
\(777\) | −1.74122 | + | 1.74274i | −0.0624658 | + | 0.0625206i | ||||
\(778\) | 39.4278 | 1.41356 | ||||||||
\(779\) | −1.21965 | + | 2.11250i | −0.0436986 | + | 0.0756882i | ||||
\(780\) | 7.51108 | + | 13.0096i | 0.268940 | + | 0.465817i | ||||
\(781\) | 8.67674 | + | 15.0286i | 0.310478 | + | 0.537764i | ||||
\(782\) | 6.53315 | − | 11.3157i | 0.233625 | − | 0.404650i | ||||
\(783\) | −9.24456 | −0.330374 | ||||||||
\(784\) | −30.0787 | − | 17.3308i | −1.07424 | − | 0.618958i | ||||
\(785\) | 22.8197 | 0.814470 | ||||||||
\(786\) | 41.9553 | − | 72.6687i | 1.49650 | − | 2.59201i | ||||
\(787\) | 12.2121 | + | 21.1520i | 0.435315 | + | 0.753988i | 0.997321 | − | 0.0731454i | \(-0.0233037\pi\) |
−0.562006 | + | 0.827133i | \(0.689970\pi\) | |||||||
\(788\) | 12.5161 | + | 21.6786i | 0.445869 | + | 0.772268i | ||||
\(789\) | 4.12363 | − | 7.14234i | 0.146805 | − | 0.254274i | ||||
\(790\) | −17.3623 | −0.617722 | ||||||||
\(791\) | −3.45642 | + | 3.45945i | −0.122896 | + | 0.123004i | ||||
\(792\) | 7.18747 | 0.255396 | ||||||||
\(793\) | −4.44113 | + | 7.69226i | −0.157709 | + | 0.273160i | ||||
\(794\) | −20.9166 | − | 36.2286i | −0.742302 | − | 1.28571i | ||||
\(795\) | 32.5220 | + | 56.3297i | 1.15344 | + | 1.99781i | ||||
\(796\) | 7.45165 | − | 12.9066i | 0.264117 | − | 0.457464i | ||||
\(797\) | −10.9145 | −0.386613 | −0.193306 | − | 0.981138i | \(-0.561921\pi\) | ||||
−0.193306 | + | 0.981138i | \(0.561921\pi\) | |||||||
\(798\) | 6.94771 | + | 25.8838i | 0.245946 | + | 0.916277i | ||||
\(799\) | 4.95845 | 0.175417 | ||||||||
\(800\) | −1.15976 | + | 2.00876i | −0.0410036 | + | 0.0710203i | ||||
\(801\) | −14.9385 | − | 25.8743i | −0.527827 | − | 0.914224i | ||||
\(802\) | 6.05612 | + | 10.4895i | 0.213849 | + | 0.370398i | ||||
\(803\) | −6.80420 | + | 11.7852i | −0.240115 | + | 0.415891i | ||||
\(804\) | 36.4920 | 1.28698 | ||||||||
\(805\) | −34.8008 | − | 9.30851i | −1.22657 | − | 0.328082i | ||||
\(806\) | −10.5184 | −0.370496 | ||||||||
\(807\) | −1.80365 | + | 3.12401i | −0.0634914 | + | 0.109970i | ||||
\(808\) | −11.1377 | − | 19.2911i | −0.391823 | − | 0.678658i | ||||
\(809\) | 17.3389 | + | 30.0319i | 0.609604 | + | 1.05586i | 0.991306 | + | 0.131579i | \(0.0420047\pi\) |
−0.381702 | + | 0.924285i | \(0.624662\pi\) | |||||||
\(810\) | −21.7306 | + | 37.6385i | −0.763536 | + | 1.32248i | ||||
\(811\) | 47.9830 | 1.68491 | 0.842456 | − | 0.538765i | \(-0.181109\pi\) | ||||
0.842456 | + | 0.538765i | \(0.181109\pi\) | |||||||
\(812\) | −19.9134 | − | 5.32643i | −0.698823 | − | 0.186921i | ||||
\(813\) | 37.7345 | 1.32341 | ||||||||
\(814\) | −0.757488 | + | 1.31201i | −0.0265499 | + | 0.0459858i | ||||
\(815\) | 15.8220 | + | 27.4045i | 0.554221 | + | 0.959938i | ||||
\(816\) | 7.16140 | + | 12.4039i | 0.250699 | + | 0.434224i | ||||
\(817\) | −1.06401 | + | 1.84292i | −0.0372250 | + | 0.0644755i | ||||
\(818\) | 63.8884 | 2.23380 | ||||||||
\(819\) | −3.79691 | − | 14.1454i | −0.132675 | − | 0.494282i | ||||
\(820\) | −2.78941 | −0.0974105 | ||||||||
\(821\) | 8.70627 | − | 15.0797i | 0.303851 | − | 0.526285i | −0.673154 | − | 0.739502i | \(-0.735061\pi\) |
0.977005 | + | 0.213217i | \(0.0683942\pi\) | |||||||
\(822\) | −40.3624 | − | 69.9098i | −1.40780 | − | 2.43838i | ||||
\(823\) | −3.36519 | − | 5.82867i | −0.117303 | − | 0.203175i | 0.801395 | − | 0.598135i | \(-0.204092\pi\) |
−0.918698 | + | 0.394961i | \(0.870758\pi\) | |||||||
\(824\) | −13.1762 | + | 22.8219i | −0.459015 | + | 0.795037i | ||||
\(825\) | −1.88730 | −0.0657073 | ||||||||
\(826\) | −35.2004 | + | 35.2312i | −1.22478 | + | 1.22585i | ||||
\(827\) | 23.5885 | 0.820252 | 0.410126 | − | 0.912029i | \(-0.365485\pi\) | ||||
0.410126 | + | 0.912029i | \(0.365485\pi\) | |||||||
\(828\) | 8.41150 | − | 14.5692i | 0.292320 | − | 0.506313i | ||||
\(829\) | −16.1814 | − | 28.0270i | −0.562004 | − | 0.973419i | −0.997322 | − | 0.0731419i | \(-0.976697\pi\) |
0.435318 | − | 0.900277i | \(-0.356636\pi\) | |||||||
\(830\) | 10.0362 | + | 17.3832i | 0.348361 | + | 0.603379i | ||||
\(831\) | 18.6902 | − | 32.3723i | 0.648355 | − | 1.12298i | ||||
\(832\) | −1.97376 | −0.0684278 | ||||||||
\(833\) | 7.54076 | − | 4.36248i | 0.261272 | − | 0.151151i | ||||
\(834\) | 13.9809 | 0.484118 | ||||||||
\(835\) | −5.40738 | + | 9.36585i | −0.187130 | + | 0.324119i | ||||
\(836\) | 3.09339 | + | 5.35791i | 0.106987 | + | 0.185307i | ||||
\(837\) | −1.80629 | − | 3.12859i | −0.0624346 | − | 0.108140i | ||||
\(838\) | −2.53350 | + | 4.38815i | −0.0875184 | + | 0.151586i | ||||
\(839\) | 32.3692 | 1.11751 | 0.558755 | − | 0.829333i | \(-0.311279\pi\) | ||||
0.558755 | + | 0.829333i | \(0.311279\pi\) | |||||||
\(840\) | 14.3807 | − | 14.3933i | 0.496180 | − | 0.496615i | ||||
\(841\) | 13.0143 | 0.448769 | ||||||||
\(842\) | −4.93582 | + | 8.54909i | −0.170100 | + | 0.294621i | ||||
\(843\) | 36.6466 | + | 63.4738i | 1.26218 | + | 2.18615i | ||||
\(844\) | 11.3792 | + | 19.7093i | 0.391687 | + | 0.678422i | ||||
\(845\) | 8.83539 | − | 15.3033i | 0.303947 | − | 0.526451i | ||||
\(846\) | 17.0065 | 0.584695 | ||||||||
\(847\) | 4.49096 | + | 16.7312i | 0.154311 | + | 0.574890i | ||||
\(848\) | −59.8961 | −2.05684 | ||||||||
\(849\) | −4.50374 | + | 7.80070i | −0.154568 | + | 0.267719i | ||||
\(850\) | −0.429163 | − | 0.743332i | −0.0147202 | − | 0.0254961i | ||||
\(851\) | −1.17708 | − | 2.03876i | −0.0403497 | − | 0.0698878i | ||||
\(852\) | −11.4703 | + | 19.8671i | −0.392965 | + | 0.680636i | ||||
\(853\) | −1.82393 | −0.0624501 | −0.0312251 | − | 0.999512i | \(-0.509941\pi\) | ||||
−0.0312251 | + | 0.999512i | \(0.509941\pi\) | |||||||
\(854\) | −17.5052 | − | 4.68229i | −0.599016 | − | 0.160225i | ||||
\(855\) | −13.5033 | −0.461805 | ||||||||
\(856\) | 7.44653 | − | 12.8978i | 0.254517 | − | 0.440837i | ||||
\(857\) | −5.09165 | − | 8.81900i | −0.173928 | − | 0.301251i | 0.765862 | − | 0.643005i | \(-0.222313\pi\) |
−0.939790 | + | 0.341754i | \(0.888979\pi\) | |||||||
\(858\) | −10.1671 | − | 17.6099i | −0.347098 | − | 0.601191i | ||||
\(859\) | −13.3722 | + | 23.1614i | −0.456255 | + | 0.790257i | −0.998759 | − | 0.0497959i | \(-0.984143\pi\) |
0.542504 | + | 0.840053i | \(0.317476\pi\) | |||||||
\(860\) | −2.43345 | −0.0829798 | ||||||||
\(861\) | 5.93135 | + | 1.58652i | 0.202140 | + | 0.0540683i | ||||
\(862\) | −42.8160 | −1.45832 | ||||||||
\(863\) | −19.8006 | + | 34.2956i | −0.674020 | + | 1.16744i | 0.302734 | + | 0.953075i | \(0.402101\pi\) |
−0.976754 | + | 0.214362i | \(0.931233\pi\) | |||||||
\(864\) | −4.29160 | − | 7.43327i | −0.146003 | − | 0.252885i | ||||
\(865\) | −6.92675 | − | 11.9975i | −0.235516 | − | 0.407926i | ||||
\(866\) | −23.1873 | + | 40.1616i | −0.787937 | + | 1.36475i | ||||
\(867\) | 35.8567 | 1.21776 | ||||||||
\(868\) | −2.08828 | − | 7.77993i | −0.0708808 | − | 0.264068i | ||||
\(869\) | 8.82230 | 0.299276 | ||||||||
\(870\) | 31.2319 | − | 54.0953i | 1.05886 | − | 1.83400i | ||||
\(871\) | 15.1798 | + | 26.2921i | 0.514347 | + | 0.890875i | ||||
\(872\) | 14.5506 | + | 25.2023i | 0.492744 | + | 0.853457i | ||||
\(873\) | 14.8373 | − | 25.6990i | 0.502168 | − | 0.869781i | ||||
\(874\) | −25.6102 | −0.866277 | ||||||||
\(875\) | 20.0256 | − | 20.0432i | 0.676989 | − | 0.677582i | ||||
\(876\) | −17.9897 | −0.607816 | ||||||||
\(877\) | −9.91845 | + | 17.1793i | −0.334922 | + | 0.580103i | −0.983470 | − | 0.181072i | \(-0.942043\pi\) |
0.648548 | + | 0.761174i | \(0.275377\pi\) | |||||||
\(878\) | −9.43084 | − | 16.3347i | −0.318276 | − | 0.551269i | ||||
\(879\) | 6.16852 | + | 10.6842i | 0.208059 | + | 0.360369i | ||||
\(880\) | 12.1419 | − | 21.0304i | 0.409303 | − | 0.708934i | ||||
\(881\) | −42.9749 | −1.44786 | −0.723930 | − | 0.689873i | \(-0.757666\pi\) | ||||
−0.723930 | + | 0.689873i | \(0.757666\pi\) | |||||||
\(882\) | 25.8633 | − | 14.9624i | 0.870863 | − | 0.503811i | ||||
\(883\) | −15.8035 | −0.531831 | −0.265915 | − | 0.963996i | \(-0.585674\pi\) | ||||
−0.265915 | + | 0.963996i | \(0.585674\pi\) | |||||||
\(884\) | 1.73576 | − | 3.00642i | 0.0583799 | − | 0.101117i | ||||
\(885\) | −28.3258 | − | 49.0618i | −0.952163 | − | 1.64919i | ||||
\(886\) | −0.821523 | − | 1.42292i | −0.0275996 | − | 0.0478039i | ||||
\(887\) | −7.06451 | + | 12.2361i | −0.237203 | + | 0.410848i | −0.959911 | − | 0.280306i | \(-0.909564\pi\) |
0.722708 | + | 0.691154i | \(0.242897\pi\) | |||||||
\(888\) | 1.32961 | 0.0446189 | ||||||||
\(889\) | −11.1020 | + | 11.1118i | −0.372350 | + | 0.372677i | ||||
\(890\) | −52.0108 | −1.74340 | ||||||||
\(891\) | 11.0420 | − | 19.1253i | 0.369921 | − | 0.640721i | ||||
\(892\) | 6.46782 | + | 11.2026i | 0.216559 | + | 0.375091i | ||||
\(893\) | −4.85932 | − | 8.41660i | −0.162611 | − | 0.281651i | ||||
\(894\) | 19.7674 | − | 34.2381i | 0.661119 | − | 1.14509i | ||||
\(895\) | 35.1195 | 1.17392 | ||||||||
\(896\) | 7.21168 | + | 26.8673i | 0.240925 | + | 0.897572i | ||||
\(897\) | 31.5977 | 1.05502 | ||||||||
\(898\) | −16.9164 | + | 29.3000i | −0.564507 | + | 0.977754i | ||||
\(899\) | 8.20917 | + | 14.2187i | 0.273791 | + | 0.474220i | ||||
\(900\) | −0.552552 | − | 0.957049i | −0.0184184 | − | 0.0319016i | ||||
\(901\) | 7.51560 | − | 13.0174i | 0.250381 | − | 0.433672i | ||||
\(902\) | 3.77577 | 0.125719 | ||||||||
\(903\) | 5.17443 | + | 1.38405i | 0.172194 | + | 0.0460584i | ||||
\(904\) | 2.63936 | 0.0877838 | ||||||||
\(905\) | 20.7453 | − | 35.9320i | 0.689599 | − | 1.19442i | ||||
\(906\) | 21.0073 | + | 36.3856i | 0.697919 | + | 1.20883i | ||||
\(907\) | −16.7797 | − | 29.0633i | −0.557161 | − | 0.965031i | −0.997732 | − | 0.0673130i | \(-0.978557\pi\) |
0.440571 | − | 0.897718i | \(-0.354776\pi\) | |||||||
\(908\) | 13.1646 | − | 22.8017i | 0.436882 | − | 0.756701i | ||||
\(909\) | 37.2113 | 1.23422 | ||||||||
\(910\) | −24.6305 | − | 6.58816i | −0.816494 | − | 0.218396i | ||||
\(911\) | 53.2950 | 1.76574 | 0.882871 | − | 0.469615i | \(-0.155607\pi\) | ||||
0.882871 | + | 0.469615i | \(0.155607\pi\) | |||||||
\(912\) | 14.0365 | − | 24.3119i | 0.464794 | − | 0.805046i | ||||
\(913\) | −5.09969 | − | 8.83292i | −0.168775 | − | 0.292327i | ||||
\(914\) | −34.1589 | − | 59.1649i | −1.12987 | − | 1.95700i | ||||
\(915\) | 10.3063 | − | 17.8510i | 0.340716 | − | 0.590137i | ||||
\(916\) | 14.2285 | 0.470122 | ||||||||
\(917\) | 13.8596 | + | 51.6343i | 0.457685 | + | 1.70512i | ||||
\(918\) | 3.17617 | 0.104829 | ||||||||
\(919\) | 20.3007 | − | 35.1618i | 0.669657 | − | 1.15988i | −0.308343 | − | 0.951275i | \(-0.599774\pi\) |
0.978000 | − | 0.208605i | \(-0.0668924\pi\) | |||||||
\(920\) | 9.72145 | + | 16.8381i | 0.320507 | + | 0.555134i | ||||
\(921\) | −5.95926 | − | 10.3217i | −0.196364 | − | 0.340113i | ||||
\(922\) | −20.6821 | + | 35.8225i | −0.681130 | + | 1.17975i | ||||
\(923\) | −19.0854 | −0.628203 | ||||||||
\(924\) | 11.0066 | − | 11.0162i | 0.362089 | − | 0.362407i | ||||
\(925\) | −0.154645 | −0.00508469 | ||||||||
\(926\) | 9.35837 | − | 16.2092i | 0.307535 | − | 0.532666i | ||||
\(927\) | −22.0110 | − | 38.1242i | −0.722936 | − | 1.25216i | ||||
\(928\) | 19.5043 | + | 33.7824i | 0.640260 | + | 1.10896i | ||||
\(929\) | −21.8395 | + | 37.8270i | −0.716529 | + | 1.24107i | 0.245838 | + | 0.969311i | \(0.420937\pi\) |
−0.962367 | + | 0.271754i | \(0.912396\pi\) | |||||||
\(930\) | 24.4096 | 0.800423 | ||||||||
\(931\) | −14.7950 | − | 8.52461i | −0.484886 | − | 0.279383i | ||||
\(932\) | 20.3027 | 0.665036 | ||||||||
\(933\) | −32.8010 | + | 56.8130i | −1.07386 | + | 1.85997i | ||||
\(934\) | −30.2949 | − | 52.4723i | −0.991279 | − | 1.71694i | ||||
\(935\) | 3.04707 | + | 5.27767i | 0.0996497 | + | 0.172598i | ||||
\(936\) | −3.95240 | + | 6.84575i | −0.129188 | + | 0.223760i | ||||
\(937\) | −48.3610 | −1.57988 | −0.789942 | − | 0.613181i | \(-0.789890\pi\) | ||||
−0.789942 | + | 0.613181i | \(0.789890\pi\) | |||||||
\(938\) | −43.7764 | + | 43.8147i | −1.42935 | + | 1.43060i | ||||
\(939\) | −49.4419 | −1.61348 | ||||||||
\(940\) | 5.55677 | − | 9.62460i | 0.181242 | − | 0.313920i | ||||
\(941\) | 14.8886 | + | 25.7879i | 0.485355 | + | 0.840660i | 0.999858 | − | 0.0168284i | \(-0.00535691\pi\) |
−0.514503 | + | 0.857489i | \(0.672024\pi\) | |||||||
\(942\) | −20.4169 | − | 35.3632i | −0.665219 | − | 1.15219i | ||||
\(943\) | −2.93363 | + | 5.08120i | −0.0955322 | + | 0.165467i | ||||
\(944\) | 52.1680 | 1.69793 | ||||||||
\(945\) | −2.27014 | − | 8.45744i | −0.0738476 | − | 0.275121i | ||||
\(946\) | 3.29393 | 0.107095 | ||||||||
\(947\) | −4.64622 | + | 8.04748i | −0.150982 | + | 0.261508i | −0.931589 | − | 0.363514i | \(-0.881577\pi\) |
0.780607 | + | 0.625022i | \(0.214910\pi\) | |||||||
\(948\) | 5.83135 | + | 10.1002i | 0.189393 | + | 0.328039i | ||||
\(949\) | −7.48327 | − | 12.9614i | −0.242917 | − | 0.420745i | ||||
\(950\) | −0.841167 | + | 1.45694i | −0.0272911 | + | 0.0472695i | ||||
\(951\) | −38.8125 | −1.25858 | ||||||||
\(952\) | −4.54220 | − | 1.21494i | −0.147213 | − | 0.0393766i | ||||
\(953\) | 41.8537 | 1.35577 | 0.677887 | − | 0.735166i | \(-0.262896\pi\) | ||||
0.677887 | + | 0.735166i | \(0.262896\pi\) | |||||||
\(954\) | 25.7770 | − | 44.6471i | 0.834561 | − | 1.44550i | ||||
\(955\) | 10.1890 | + | 17.6479i | 0.329709 | + | 0.571073i | ||||
\(956\) | 5.33278 | + | 9.23665i | 0.172475 | + | 0.298735i | ||||
\(957\) | −15.8699 | + | 27.4875i | −0.513001 | + | 0.888543i | ||||
\(958\) | 41.5855 | 1.34357 | ||||||||
\(959\) | 49.6857 | + | 13.2899i | 1.60443 | + | 0.429153i | ||||
\(960\) | 4.58041 | 0.147832 | ||||||||
\(961\) | 12.2920 | − | 21.2904i | 0.396517 | − | 0.686787i | ||||
\(962\) | −0.833086 | − | 1.44295i | −0.0268598 | − | 0.0465225i | ||||
\(963\) | 12.4395 | + | 21.5459i | 0.400858 | + | 0.694306i | ||||
\(964\) | 1.35621 | − | 2.34902i | 0.0436806 | − | 0.0756570i | ||||
\(965\) | −62.6487 | −2.01673 | ||||||||
\(966\) | 16.7113 | + | 62.2584i | 0.537678 | + | 2.00313i | ||||
\(967\) | 1.00640 | 0.0323637 | 0.0161819 | − | 0.999869i | \(-0.494849\pi\) | ||||
0.0161819 | + | 0.999869i | \(0.494849\pi\) | |||||||
\(968\) | 4.67488 | − | 8.09712i | 0.150256 | − | 0.260251i | ||||
\(969\) | 3.52251 | + | 6.10117i | 0.113159 | + | 0.195998i | ||||
\(970\) | −25.8292 | − | 44.7375i | −0.829326 | − | 1.43644i | ||||
\(971\) | −17.4817 | + | 30.2792i | −0.561015 | + | 0.971706i | 0.436394 | + | 0.899756i | \(0.356256\pi\) |
−0.997408 | + | 0.0719499i | \(0.977078\pi\) | |||||||
\(972\) | 24.0511 | 0.771440 | ||||||||
\(973\) | −6.29590 | + | 6.30142i | −0.201837 | + | 0.202014i | ||||
\(974\) | 49.3960 | 1.58275 | ||||||||
\(975\) | 1.03783 | − | 1.79757i | 0.0332371 | − | 0.0575683i | ||||
\(976\) | 9.49062 | + | 16.4382i | 0.303787 | + | 0.526175i | ||||
\(977\) | 13.0893 | + | 22.6713i | 0.418763 | + | 0.725319i | 0.995815 | − | 0.0913882i | \(-0.0291304\pi\) |
−0.577052 | + | 0.816707i | \(0.695797\pi\) | |||||||
\(978\) | 28.3121 | − | 49.0380i | 0.905320 | − | 1.56806i | ||||
\(979\) | 26.4283 | 0.844651 | ||||||||
\(980\) | −0.0171126 | − | 19.5259i | −0.000546641 | − | 0.623731i | ||||
\(981\) | −48.6137 | −1.55212 | ||||||||
\(982\) | 23.8862 | − | 41.3721i | 0.762239 | − | 1.32024i | ||||
\(983\) | −15.3146 | − | 26.5257i | −0.488460 | − | 0.846038i | 0.511452 | − | 0.859312i | \(-0.329108\pi\) |
−0.999912 | + | 0.0132743i | \(0.995775\pi\) | |||||||
\(984\) | −1.65690 | − | 2.86983i | −0.0528200 | − | 0.0914868i | ||||
\(985\) | 24.1645 | − | 41.8541i | 0.769944 | − | 1.33358i | ||||
\(986\) | −14.4350 | −0.459703 | ||||||||
\(987\) | −17.2899 | + | 17.3051i | −0.550344 | + | 0.550827i | ||||
\(988\) | −6.80423 | −0.216471 | ||||||||
\(989\) | −2.55926 | + | 4.43277i | −0.0813798 | + | 0.140954i | ||||
\(990\) | 10.4508 | + | 18.1014i | 0.332149 | + | 0.575299i | ||||
\(991\) | 5.92605 | + | 10.2642i | 0.188247 | + | 0.326054i | 0.944666 | − | 0.328034i | \(-0.106386\pi\) |
−0.756419 | + | 0.654088i | \(0.773053\pi\) | |||||||
\(992\) | −7.62189 | + | 13.2015i | −0.241995 | + | 0.419148i | ||||
\(993\) | 5.40455 | 0.171508 | ||||||||
\(994\) | −10.0938 | − | 37.6048i | −0.320157 | − | 1.19275i | ||||
\(995\) | −28.7733 | −0.912174 | ||||||||
\(996\) | 6.74157 | − | 11.6767i | 0.213615 | − | 0.369992i | ||||
\(997\) | −3.60081 | − | 6.23679i | −0.114039 | − | 0.197521i | 0.803356 | − | 0.595499i | \(-0.203046\pi\) |
−0.917395 | + | 0.397978i | \(0.869712\pi\) | |||||||
\(998\) | −3.48209 | − | 6.03115i | −0.110224 | − | 0.190913i | ||||
\(999\) | 0.286126 | − | 0.495585i | 0.00905262 | − | 0.0156796i |
(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 | 287.2.e.c.247.4 | yes | 10 | |
7.2 | even | 3 | 2009.2.a.l.1.2 | 5 | |||
7.4 | even | 3 | inner | 287.2.e.c.165.4 | ✓ | 10 | |
7.5 | odd | 6 | 2009.2.a.m.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.e.c.165.4 | ✓ | 10 | 7.4 | even | 3 | inner | |
287.2.e.c.247.4 | yes | 10 | 1.1 | even | 1 | trivial | |
2009.2.a.l.1.2 | 5 | 7.2 | even | 3 | |||
2009.2.a.m.1.2 | 5 | 7.5 | odd | 6 |