Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(7,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bf (of order \(66\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(680\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 115.18 | ||
Character | \(\chi\) | \(=\) | 804.115 |
Dual form | 804.2.bf.a.7.18 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{43}{66}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.130801 | + | 1.40815i | 0.0924904 | + | 0.995714i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −1.96578 | + | 0.368376i | −0.982891 | + | 0.184188i | ||||
\(5\) | −2.24944 | + | 1.94915i | −1.00598 | + | 0.871686i | −0.991747 | − | 0.128213i | \(-0.959076\pi\) |
−0.0142324 | + | 0.999899i | \(0.504530\pi\) | |||||||
\(6\) | −0.522225 | − | 1.31426i | −0.213197 | − | 0.536545i | ||||
\(7\) | −0.0649402 | − | 1.36326i | −0.0245451 | − | 0.515265i | −0.977343 | − | 0.211660i | \(-0.932113\pi\) |
0.952798 | − | 0.303604i | \(-0.0981901\pi\) | |||||||
\(8\) | −0.775856 | − | 2.71994i | −0.274306 | − | 0.961642i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −3.03893 | − | 2.91260i | −0.960993 | − | 0.921045i | ||||
\(11\) | 1.00618 | − | 0.193926i | 0.303375 | − | 0.0584708i | −0.0352918 | − | 0.999377i | \(-0.511236\pi\) |
0.338667 | + | 0.940906i | \(0.390024\pi\) | |||||||
\(12\) | 1.78237 | − | 0.907279i | 0.514526 | − | 0.261909i | ||||
\(13\) | −2.43017 | − | 6.07028i | −0.674009 | − | 1.68359i | −0.728471 | − | 0.685076i | \(-0.759769\pi\) |
0.0544626 | − | 0.998516i | \(-0.482655\pi\) | |||||||
\(14\) | 1.91119 | − | 0.269762i | 0.510786 | − | 0.0720969i | ||||
\(15\) | 1.60918 | − | 2.50393i | 0.415489 | − | 0.646513i | ||||
\(16\) | 3.72860 | − | 1.44829i | 0.932150 | − | 0.362073i | ||||
\(17\) | −2.02161 | + | 2.83895i | −0.490311 | + | 0.688546i | −0.983404 | − | 0.181431i | \(-0.941927\pi\) |
0.493092 | + | 0.869977i | \(0.335866\pi\) | |||||||
\(18\) | 0.871341 | + | 1.11390i | 0.205377 | + | 0.262548i | ||||
\(19\) | 6.60554 | + | 0.314661i | 1.51541 | + | 0.0721881i | 0.788711 | − | 0.614764i | \(-0.210749\pi\) |
0.726703 | + | 0.686952i | \(0.241052\pi\) | |||||||
\(20\) | 3.70389 | − | 4.66024i | 0.828214 | − | 1.04206i | ||||
\(21\) | 0.446385 | + | 1.28975i | 0.0974092 | + | 0.281445i | ||||
\(22\) | 0.404687 | + | 1.39149i | 0.0862795 | + | 0.296667i | ||||
\(23\) | −2.50709 | + | 2.62937i | −0.522765 | + | 0.548261i | −0.931191 | − | 0.364531i | \(-0.881229\pi\) |
0.408426 | + | 0.912791i | \(0.366078\pi\) | |||||||
\(24\) | 1.51072 | + | 2.39118i | 0.308375 | + | 0.488097i | ||||
\(25\) | 0.549214 | − | 3.81987i | 0.109843 | − | 0.763974i | ||||
\(26\) | 8.23000 | − | 4.21605i | 1.61404 | − | 0.826836i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 0.629851 | + | 2.65595i | 0.119031 | + | 0.501928i | ||||
\(29\) | 2.07843 | − | 3.59994i | 0.385954 | − | 0.668492i | −0.605947 | − | 0.795505i | \(-0.707206\pi\) |
0.991901 | + | 0.127013i | \(0.0405390\pi\) | |||||||
\(30\) | 3.73640 | + | 1.93845i | 0.682171 | + | 0.353912i | ||||
\(31\) | −0.724026 | − | 0.289856i | −0.130039 | − | 0.0520597i | 0.305730 | − | 0.952118i | \(-0.401099\pi\) |
−0.435769 | + | 0.900058i | \(0.643524\pi\) | |||||||
\(32\) | 2.52712 | + | 5.06099i | 0.446736 | + | 0.894666i | ||||
\(33\) | −0.910790 | + | 0.469545i | −0.158548 | + | 0.0817373i | ||||
\(34\) | −4.26210 | − | 2.47539i | −0.730943 | − | 0.424526i | ||||
\(35\) | 2.80328 | + | 2.94000i | 0.473841 | + | 0.496950i | ||||
\(36\) | −1.45456 | + | 1.37268i | −0.242427 | + | 0.228780i | ||||
\(37\) | −0.208885 | − | 0.361800i | −0.0343406 | − | 0.0594796i | 0.848344 | − | 0.529445i | \(-0.177600\pi\) |
−0.882685 | + | 0.469965i | \(0.844266\pi\) | |||||||
\(38\) | 0.420922 | + | 9.34276i | 0.0682826 | + | 1.51560i | ||||
\(39\) | 4.04193 | + | 5.13973i | 0.647227 | + | 0.823016i | ||||
\(40\) | 7.04680 | + | 4.60607i | 1.11420 | + | 0.728283i | ||||
\(41\) | 0.376844 | − | 3.94649i | 0.0588532 | − | 0.616338i | −0.917144 | − | 0.398556i | \(-0.869512\pi\) |
0.975997 | − | 0.217783i | \(-0.0698824\pi\) | |||||||
\(42\) | −1.75777 | + | 0.797278i | −0.271230 | + | 0.123023i | ||||
\(43\) | 0.838505 | + | 1.83607i | 0.127871 | + | 0.279998i | 0.962729 | − | 0.270467i | \(-0.0871779\pi\) |
−0.834859 | + | 0.550464i | \(0.814451\pi\) | |||||||
\(44\) | −1.90650 | + | 0.751869i | −0.287415 | + | 0.113349i | ||||
\(45\) | −0.838558 | + | 2.85587i | −0.125005 | + | 0.425727i | ||||
\(46\) | −4.03048 | − | 3.18645i | −0.594261 | − | 0.469816i | ||||
\(47\) | 4.48981 | + | 1.08922i | 0.654906 | + | 0.158878i | 0.549425 | − | 0.835543i | \(-0.314847\pi\) |
0.105481 | + | 0.994421i | \(0.466362\pi\) | |||||||
\(48\) | −3.16953 | + | 2.44009i | −0.457483 | + | 0.352197i | ||||
\(49\) | 5.11404 | − | 0.488331i | 0.730577 | − | 0.0697616i | ||||
\(50\) | 5.45080 | + | 0.273734i | 0.770859 | + | 0.0387118i | ||||
\(51\) | 1.13989 | − | 3.29350i | 0.159617 | − | 0.461182i | ||||
\(52\) | 7.01333 | + | 11.0376i | 0.972574 | + | 1.53064i | ||||
\(53\) | −8.25028 | − | 3.76778i | −1.13326 | − | 0.517544i | −0.241660 | − | 0.970361i | \(-0.577692\pi\) |
−0.891604 | + | 0.452817i | \(0.850419\pi\) | |||||||
\(54\) | −1.14987 | − | 0.823290i | −0.156477 | − | 0.112036i | ||||
\(55\) | −1.88535 | + | 2.39742i | −0.254221 | + | 0.323269i | ||||
\(56\) | −3.65760 | + | 1.23433i | −0.488768 | + | 0.164944i | ||||
\(57\) | −6.42662 | + | 1.55908i | −0.851226 | + | 0.206505i | ||||
\(58\) | 5.34112 | + | 2.45586i | 0.701324 | + | 0.322471i | ||||
\(59\) | 11.5142 | − | 1.65550i | 1.49903 | − | 0.215528i | 0.656559 | − | 0.754274i | \(-0.272011\pi\) |
0.842468 | + | 0.538747i | \(0.181102\pi\) | |||||||
\(60\) | −2.24091 | + | 5.51497i | −0.289300 | + | 0.711980i | ||||
\(61\) | 2.30325 | − | 11.9504i | 0.294901 | − | 1.53009i | −0.468090 | − | 0.883681i | \(-0.655058\pi\) |
0.762991 | − | 0.646409i | \(-0.223730\pi\) | |||||||
\(62\) | 0.313458 | − | 1.05745i | 0.0398092 | − | 0.134297i | ||||
\(63\) | −0.791667 | − | 1.11174i | −0.0997406 | − | 0.140066i | ||||
\(64\) | −6.79610 | + | 4.22055i | −0.849512 | + | 0.527569i | ||||
\(65\) | 17.2984 | + | 8.91794i | 2.14560 | + | 1.10613i | ||||
\(66\) | −0.780323 | − | 1.22111i | −0.0960511 | − | 0.150309i | ||||
\(67\) | −3.02872 | − | 7.60440i | −0.370017 | − | 0.929025i | ||||
\(68\) | 2.92824 | − | 6.32546i | 0.355101 | − | 0.767075i | ||||
\(69\) | 1.66476 | − | 3.22919i | 0.200414 | − | 0.388748i | ||||
\(70\) | −3.77329 | + | 4.33200i | −0.450994 | + | 0.517773i | ||||
\(71\) | 7.23502 | − | 5.15203i | 0.858639 | − | 0.611434i | −0.0636341 | − | 0.997973i | \(-0.520269\pi\) |
0.922273 | + | 0.386539i | \(0.126330\pi\) | |||||||
\(72\) | −2.12320 | − | 1.86870i | −0.250221 | − | 0.220228i | ||||
\(73\) | −9.86395 | − | 1.90112i | −1.15449 | − | 0.222509i | −0.424148 | − | 0.905593i | \(-0.639426\pi\) |
−0.730340 | + | 0.683083i | \(0.760639\pi\) | |||||||
\(74\) | 0.482147 | − | 0.341466i | 0.0560485 | − | 0.0396947i | ||||
\(75\) | 0.549214 | + | 3.81987i | 0.0634178 | + | 0.441081i | ||||
\(76\) | −13.1010 | + | 1.81477i | −1.50278 | + | 0.208168i | ||||
\(77\) | −0.329713 | − | 1.35910i | −0.0375743 | − | 0.154884i | ||||
\(78\) | −6.70883 | + | 6.36393i | −0.759625 | + | 0.720573i | ||||
\(79\) | 3.42038 | + | 2.68982i | 0.384823 | + | 0.302628i | 0.791765 | − | 0.610826i | \(-0.209162\pi\) |
−0.406942 | + | 0.913454i | \(0.633405\pi\) | |||||||
\(80\) | −5.56431 | + | 10.5254i | −0.622109 | + | 1.17678i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 5.60655 | + | 0.0144482i | 0.619140 | + | 0.00159553i | ||||
\(83\) | 11.6012 | + | 4.01521i | 1.27340 | + | 0.440727i | 0.878387 | − | 0.477951i | \(-0.158620\pi\) |
0.395009 | + | 0.918677i | \(0.370741\pi\) | |||||||
\(84\) | −1.35261 | − | 2.37092i | −0.147582 | − | 0.258689i | ||||
\(85\) | −0.986056 | − | 10.3264i | −0.106953 | − | 1.12006i | ||||
\(86\) | −2.47579 | + | 1.42090i | −0.266971 | + | 0.153220i | ||||
\(87\) | −0.980015 | + | 4.03968i | −0.105069 | + | 0.433099i | ||||
\(88\) | −1.30812 | − | 2.58629i | −0.139446 | − | 0.275700i | ||||
\(89\) | −3.84962 | − | 1.13035i | −0.408059 | − | 0.119817i | 0.0712600 | − | 0.997458i | \(-0.477298\pi\) |
−0.479319 | + | 0.877641i | \(0.659116\pi\) | |||||||
\(90\) | −4.13118 | − | 0.807266i | −0.435464 | − | 0.0850933i | ||||
\(91\) | −8.11757 | + | 3.70717i | −0.850952 | + | 0.388617i | ||||
\(92\) | 3.95981 | − | 6.09231i | 0.412838 | − | 0.635167i | ||||
\(93\) | 0.776360 | + | 0.0741334i | 0.0805047 | + | 0.00768727i | ||||
\(94\) | −0.946509 | + | 6.46480i | −0.0976249 | + | 0.666793i | ||||
\(95\) | −15.4721 | + | 12.1674i | −1.58740 | + | 1.24835i | ||||
\(96\) | −3.85060 | − | 4.14402i | −0.393000 | − | 0.422947i | ||||
\(97\) | 13.6894 | − | 7.90356i | 1.38994 | − | 0.802485i | 0.396636 | − | 0.917976i | \(-0.370178\pi\) |
0.993308 | + | 0.115491i | \(0.0368443\pi\) | |||||||
\(98\) | 1.35657 | + | 7.13746i | 0.137034 | + | 0.720993i | ||||
\(99\) | 0.741610 | − | 0.707124i | 0.0745346 | − | 0.0710686i | ||||
\(100\) | 0.327512 | + | 7.71135i | 0.0327512 | + | 0.771135i | ||||
\(101\) | −3.54938 | − | 6.88483i | −0.353176 | − | 0.685066i | 0.643595 | − | 0.765367i | \(-0.277442\pi\) |
−0.996771 | + | 0.0803004i | \(0.974412\pi\) | |||||||
\(102\) | 4.78685 | + | 1.17435i | 0.473969 | + | 0.116278i | ||||
\(103\) | 4.32843 | − | 10.8119i | 0.426493 | − | 1.06533i | −0.547106 | − | 0.837063i | \(-0.684271\pi\) |
0.973599 | − | 0.228265i | \(-0.0733051\pi\) | |||||||
\(104\) | −14.6253 | + | 11.3196i | −1.43413 | + | 1.10998i | ||||
\(105\) | −3.51802 | − | 2.03113i | −0.343324 | − | 0.198218i | ||||
\(106\) | 4.22646 | − | 12.1105i | 0.410510 | − | 1.17627i | ||||
\(107\) | −12.8839 | − | 11.1640i | −1.24554 | − | 1.07926i | −0.993767 | − | 0.111478i | \(-0.964442\pi\) |
−0.251771 | − | 0.967787i | \(-0.581013\pi\) | |||||||
\(108\) | 1.00891 | − | 1.72687i | 0.0970828 | − | 0.166169i | ||||
\(109\) | −10.0372 | − | 1.44313i | −0.961389 | − | 0.138227i | −0.356289 | − | 0.934376i | \(-0.615958\pi\) |
−0.605100 | + | 0.796149i | \(0.706867\pi\) | |||||||
\(110\) | −3.62254 | − | 2.34128i | −0.345396 | − | 0.223232i | ||||
\(111\) | 0.302355 | + | 0.288295i | 0.0286983 | + | 0.0273637i | ||||
\(112\) | −2.21654 | − | 4.98901i | −0.209443 | − | 0.471417i | ||||
\(113\) | 1.21998 | − | 0.422238i | 0.114766 | − | 0.0397208i | −0.269082 | − | 0.963117i | \(-0.586720\pi\) |
0.383847 | + | 0.923397i | \(0.374599\pi\) | |||||||
\(114\) | −3.03603 | − | 8.84572i | −0.284350 | − | 0.828478i | ||||
\(115\) | 0.514529 | − | 10.8013i | 0.0479801 | − | 1.00723i | ||||
\(116\) | −2.75960 | + | 7.84234i | −0.256223 | + | 0.728143i | ||||
\(117\) | −5.32623 | − | 3.79279i | −0.492410 | − | 0.350644i | ||||
\(118\) | 3.83727 | + | 15.9973i | 0.353249 | + | 1.47267i | ||||
\(119\) | 4.00151 | + | 2.57162i | 0.366818 | + | 0.235740i | ||||
\(120\) | −8.05903 | − | 2.43418i | −0.735686 | − | 0.222209i | ||||
\(121\) | −9.23725 | + | 3.69804i | −0.839750 | + | 0.336185i | ||||
\(122\) | 17.1292 | + | 1.68020i | 1.55081 | + | 0.152118i | ||||
\(123\) | 0.750276 | + | 3.89280i | 0.0676501 | + | 0.351002i | ||||
\(124\) | 1.53005 | + | 0.303081i | 0.137403 | + | 0.0272174i | ||||
\(125\) | −1.83583 | − | 2.85661i | −0.164202 | − | 0.255503i | ||||
\(126\) | 1.46195 | − | 1.26020i | 0.130241 | − | 0.112268i | ||||
\(127\) | −2.45677 | + | 0.117031i | −0.218003 | + | 0.0103848i | −0.156299 | − | 0.987710i | \(-0.549956\pi\) |
−0.0617039 | + | 0.998094i | \(0.519653\pi\) | |||||||
\(128\) | −6.83212 | − | 9.01788i | −0.603880 | − | 0.797076i | ||||
\(129\) | −1.32182 | − | 1.52546i | −0.116380 | − | 0.134309i | ||||
\(130\) | −10.2952 | + | 25.5252i | −0.902946 | + | 2.23871i | ||||
\(131\) | −1.16129 | − | 3.95498i | −0.101462 | − | 0.345548i | 0.893078 | − | 0.449902i | \(-0.148541\pi\) |
−0.994540 | + | 0.104353i | \(0.966723\pi\) | |||||||
\(132\) | 1.61745 | − | 1.25854i | 0.140781 | − | 0.109541i | ||||
\(133\) | − | 9.02552i | − | 0.782612i | ||||||
\(134\) | 10.3120 | − | 5.25956i | 0.890820 | − | 0.454357i | ||||
\(135\) | − | 2.97643i | − | 0.256171i | ||||||
\(136\) | 9.29023 | + | 3.29602i | 0.796630 | + | 0.282632i | ||||
\(137\) | 6.05728 | + | 20.6292i | 0.517508 | + | 1.76247i | 0.638294 | + | 0.769793i | \(0.279640\pi\) |
−0.120786 | + | 0.992679i | \(0.538541\pi\) | |||||||
\(138\) | 4.76494 | + | 1.92186i | 0.405619 | + | 0.163599i | ||||
\(139\) | −9.19459 | − | 10.6111i | −0.779875 | − | 0.900024i | 0.217225 | − | 0.976121i | \(-0.430299\pi\) |
−0.997100 | + | 0.0760977i | \(0.975754\pi\) | |||||||
\(140\) | −6.59366 | − | 4.74673i | −0.557266 | − | 0.401172i | ||||
\(141\) | −4.61481 | + | 0.219830i | −0.388637 | + | 0.0185131i | ||||
\(142\) | 8.20119 | + | 9.51411i | 0.688229 | + | 0.798407i | ||||
\(143\) | −3.62238 | − | 5.63653i | −0.302919 | − | 0.471351i | ||||
\(144\) | 2.35369 | − | 3.23421i | 0.196141 | − | 0.269518i | ||||
\(145\) | 2.34153 | + | 12.1490i | 0.194453 | + | 1.00892i | ||||
\(146\) | 1.38685 | − | 14.1386i | 0.114777 | − | 1.17012i | ||||
\(147\) | −4.76930 | + | 1.90934i | −0.393365 | + | 0.157480i | ||||
\(148\) | 0.543902 | + | 0.634272i | 0.0447084 | + | 0.0521368i | ||||
\(149\) | 0.475084 | + | 0.305318i | 0.0389204 | + | 0.0250126i | 0.559956 | − | 0.828522i | \(-0.310818\pi\) |
−0.521036 | + | 0.853535i | \(0.674454\pi\) | |||||||
\(150\) | −5.30712 | + | 1.27302i | −0.433324 | + | 0.103942i | ||||
\(151\) | 1.50390 | + | 1.07092i | 0.122385 | + | 0.0871503i | 0.639611 | − | 0.768699i | \(-0.279096\pi\) |
−0.517225 | + | 0.855849i | \(0.673035\pi\) | |||||||
\(152\) | −4.26909 | − | 18.2108i | −0.346269 | − | 1.47709i | ||||
\(153\) | −0.165832 | + | 3.48124i | −0.0134067 | + | 0.281441i | ||||
\(154\) | 1.87069 | − | 0.642058i | 0.150744 | − | 0.0517385i | ||||
\(155\) | 2.19362 | − | 0.759221i | 0.176196 | − | 0.0609821i | ||||
\(156\) | −9.83890 | − | 8.61464i | −0.787743 | − | 0.689723i | ||||
\(157\) | 12.6600 | + | 12.0713i | 1.01038 | + | 0.963393i | 0.999332 | − | 0.0365464i | \(-0.0116357\pi\) |
0.0110451 | + | 0.999939i | \(0.496484\pi\) | |||||||
\(158\) | −3.34028 | + | 5.16825i | −0.265738 | + | 0.411164i | ||||
\(159\) | 8.97759 | + | 1.29078i | 0.711969 | + | 0.102366i | ||||
\(160\) | −15.5492 | − | 6.45866i | −1.22927 | − | 0.510602i | ||||
\(161\) | 3.74733 | + | 3.24708i | 0.295331 | + | 0.255906i | ||||
\(162\) | 1.33524 | + | 0.465986i | 0.104906 | + | 0.0366113i | ||||
\(163\) | −11.9324 | − | 6.88917i | −0.934617 | − | 0.539602i | −0.0463485 | − | 0.998925i | \(-0.514758\pi\) |
−0.888269 | + | 0.459324i | \(0.848092\pi\) | |||||||
\(164\) | 0.712998 | + | 7.89676i | 0.0556758 | + | 0.616634i | ||||
\(165\) | 1.13355 | − | 2.83148i | 0.0882469 | − | 0.220430i | ||||
\(166\) | −4.13658 | + | 16.8614i | −0.321061 | + | 1.30870i | ||||
\(167\) | 6.06835 | + | 11.7710i | 0.469583 | + | 0.910865i | 0.998081 | + | 0.0619296i | \(0.0197254\pi\) |
−0.528497 | + | 0.848935i | \(0.677244\pi\) | |||||||
\(168\) | 3.16169 | − | 2.21479i | 0.243930 | − | 0.170875i | ||||
\(169\) | −21.5340 | + | 20.5326i | −1.65646 | + | 1.57943i | ||||
\(170\) | 14.4122 | − | 2.73923i | 1.10537 | − | 0.210089i | ||||
\(171\) | 5.72705 | − | 3.30651i | 0.437959 | − | 0.252856i | ||||
\(172\) | −2.32468 | − | 3.30043i | −0.177255 | − | 0.251655i | ||||
\(173\) | 7.55048 | − | 5.93776i | 0.574052 | − | 0.451440i | −0.288448 | − | 0.957495i | \(-0.593139\pi\) |
0.862501 | + | 0.506056i | \(0.168897\pi\) | |||||||
\(174\) | −5.81666 | − | 0.851615i | −0.440960 | − | 0.0645608i | ||||
\(175\) | −5.24315 | − | 0.500660i | −0.396345 | − | 0.0378464i | ||||
\(176\) | 3.47079 | − | 2.18032i | 0.261621 | − | 0.164348i | ||||
\(177\) | −10.5814 | + | 4.83238i | −0.795349 | + | 0.363224i | ||||
\(178\) | 1.08817 | − | 5.56870i | 0.0815617 | − | 0.417391i | ||||
\(179\) | 11.0731 | + | 3.25136i | 0.827643 | + | 0.243018i | 0.668004 | − | 0.744158i | \(-0.267149\pi\) |
0.159639 | + | 0.987175i | \(0.448967\pi\) | |||||||
\(180\) | 0.596390 | − | 5.92292i | 0.0444523 | − | 0.441468i | ||||
\(181\) | 3.72491 | − | 15.3543i | 0.276870 | − | 1.14128i | −0.648197 | − | 0.761473i | \(-0.724477\pi\) |
0.925068 | − | 0.379803i | \(-0.124008\pi\) | |||||||
\(182\) | −6.28204 | − | 10.9459i | −0.465656 | − | 0.811361i | ||||
\(183\) | 1.15686 | + | 12.1152i | 0.0855177 | + | 0.895582i | ||||
\(184\) | 9.09685 | + | 4.77913i | 0.670628 | + | 0.352322i | ||||
\(185\) | 1.17508 | + | 0.406698i | 0.0863934 | + | 0.0299010i | ||||
\(186\) | −0.00284226 | + | 1.10293i | −0.000208405 | + | 0.0808707i | ||||
\(187\) | −1.48356 | + | 3.24854i | −0.108489 | + | 0.237557i | ||||
\(188\) | −9.22722 | − | 0.487224i | −0.672964 | − | 0.0355345i | ||||
\(189\) | 1.07281 | + | 0.843669i | 0.0780356 | + | 0.0613679i | ||||
\(190\) | −19.1573 | − | 20.1955i | −1.38981 | − | 1.46514i | ||||
\(191\) | −5.62432 | − | 23.1838i | −0.406961 | − | 1.67752i | −0.694298 | − | 0.719688i | \(-0.744285\pi\) |
0.287336 | − | 0.957830i | \(-0.407230\pi\) | |||||||
\(192\) | 5.33174 | − | 5.96427i | 0.384785 | − | 0.430434i | ||||
\(193\) | 2.20545 | + | 15.3392i | 0.158752 | + | 1.10414i | 0.900938 | + | 0.433948i | \(0.142880\pi\) |
−0.742186 | + | 0.670194i | \(0.766211\pi\) | |||||||
\(194\) | 12.9200 | + | 18.2429i | 0.927601 | + | 1.30976i | ||||
\(195\) | −19.1102 | − | 3.68318i | −1.36851 | − | 0.263758i | ||||
\(196\) | −9.87319 | + | 2.84384i | −0.705228 | + | 0.203131i | ||||
\(197\) | 5.35838 | − | 3.81568i | 0.381768 | − | 0.271856i | −0.373021 | − | 0.927823i | \(-0.621678\pi\) |
0.754790 | + | 0.655967i | \(0.227739\pi\) | |||||||
\(198\) | 1.09274 | + | 0.951807i | 0.0776578 | + | 0.0676420i | ||||
\(199\) | −1.19665 | + | 2.32118i | −0.0848285 | + | 0.164544i | −0.927434 | − | 0.373987i | \(-0.877990\pi\) |
0.842605 | + | 0.538532i | \(0.181021\pi\) | |||||||
\(200\) | −10.8159 | + | 1.46984i | −0.764800 | + | 0.103933i | ||||
\(201\) | 5.04844 | + | 6.44308i | 0.356090 | + | 0.454460i | ||||
\(202\) | 9.23062 | − | 5.89860i | 0.649464 | − | 0.415024i | ||||
\(203\) | −5.04264 | − | 2.59966i | −0.353924 | − | 0.182460i | ||||
\(204\) | −1.02753 | + | 6.89422i | −0.0719417 | + | 0.482692i | ||||
\(205\) | 6.84461 | + | 9.61191i | 0.478048 | + | 0.671325i | ||||
\(206\) | 15.7910 | + | 4.68088i | 1.10021 | + | 0.326132i | ||||
\(207\) | −0.687560 | + | 3.56740i | −0.0477887 | + | 0.247951i | ||||
\(208\) | −17.8527 | − | 19.1140i | −1.23786 | − | 1.32532i | ||||
\(209\) | 6.70740 | − | 0.964378i | 0.463960 | − | 0.0667074i | ||||
\(210\) | 2.39998 | − | 5.21958i | 0.165614 | − | 0.360185i | ||||
\(211\) | −3.68802 | + | 0.894703i | −0.253894 | + | 0.0615939i | −0.360686 | − | 0.932687i | \(-0.617457\pi\) |
0.106792 | + | 0.994281i | \(0.465942\pi\) | |||||||
\(212\) | 17.6062 | + | 4.36743i | 1.20920 | + | 0.299956i | ||||
\(213\) | −5.49045 | + | 6.98168i | −0.376200 | + | 0.478377i | ||||
\(214\) | 14.0354 | − | 19.6028i | 0.959438 | − | 1.34002i | ||||
\(215\) | −5.46494 | − | 2.49575i | −0.372706 | − | 0.170209i | ||||
\(216\) | 2.56367 | + | 1.19483i | 0.174435 | + | 0.0812976i | ||||
\(217\) | −0.348132 | + | 1.00586i | −0.0236327 | + | 0.0682823i | ||||
\(218\) | 0.719270 | − | 14.3227i | 0.0487151 | − | 0.970053i | ||||
\(219\) | 10.0000 | − | 0.954884i | 0.675738 | − | 0.0645251i | ||||
\(220\) | 2.82304 | − | 5.40733i | 0.190330 | − | 0.364562i | ||||
\(221\) | 22.1460 | + | 5.37257i | 1.48970 | + | 0.361398i | ||||
\(222\) | −0.366415 | + | 0.463471i | −0.0245921 | + | 0.0311061i | ||||
\(223\) | −0.319761 | + | 1.08900i | −0.0214128 | + | 0.0729251i | −0.969506 | − | 0.245066i | \(-0.921190\pi\) |
0.948094 | + | 0.317992i | \(0.103008\pi\) | |||||||
\(224\) | 6.73535 | − | 3.77379i | 0.450025 | − | 0.252147i | ||||
\(225\) | −1.60315 | − | 3.51041i | −0.106877 | − | 0.234027i | ||||
\(226\) | 0.754150 | + | 1.66268i | 0.0501653 | + | 0.110600i | ||||
\(227\) | 2.32348 | − | 24.3326i | 0.154215 | − | 1.61501i | −0.505044 | − | 0.863093i | \(-0.668524\pi\) |
0.659259 | − | 0.751916i | \(-0.270870\pi\) | |||||||
\(228\) | 12.0590 | − | 5.43222i | 0.798627 | − | 0.359758i | ||||
\(229\) | −6.29636 | − | 8.00647i | −0.416075 | − | 0.529082i | 0.532163 | − | 0.846642i | \(-0.321379\pi\) |
−0.948238 | + | 0.317559i | \(0.897137\pi\) | |||||||
\(230\) | 15.2772 | − | 0.688287i | 1.00735 | − | 0.0453843i | ||||
\(231\) | 0.699260 | + | 1.21115i | 0.0460079 | + | 0.0796880i | ||||
\(232\) | −11.4042 | − | 2.86015i | −0.748720 | − | 0.187778i | ||||
\(233\) | −12.9591 | − | 13.5911i | −0.848977 | − | 0.890382i | 0.146122 | − | 0.989267i | \(-0.453321\pi\) |
−0.995099 | + | 0.0988849i | \(0.968472\pi\) | |||||||
\(234\) | 4.64415 | − | 7.99624i | 0.303598 | − | 0.522731i | ||||
\(235\) | −12.2226 | + | 6.30118i | −0.797314 | + | 0.411044i | ||||
\(236\) | −22.0246 | + | 7.49592i | −1.43368 | + | 0.487943i | ||||
\(237\) | −4.03964 | − | 1.61723i | −0.262403 | − | 0.105050i | ||||
\(238\) | −3.09782 | + | 5.97111i | −0.200802 | + | 0.387050i | ||||
\(239\) | −5.52197 | + | 9.56433i | −0.357186 | + | 0.618665i | −0.987490 | − | 0.157684i | \(-0.949597\pi\) |
0.630303 | + | 0.776349i | \(0.282931\pi\) | |||||||
\(240\) | 2.37356 | − | 11.6667i | 0.153213 | − | 0.753084i | ||||
\(241\) | −3.98975 | + | 4.60441i | −0.257002 | + | 0.296596i | −0.869558 | − | 0.493831i | \(-0.835596\pi\) |
0.612556 | + | 0.790428i | \(0.290142\pi\) | |||||||
\(242\) | −6.41564 | − | 12.5237i | −0.412413 | − | 0.805057i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | −0.125451 | + | 24.3403i | −0.00803120 | + | 1.55823i | ||||
\(245\) | −10.5519 | + | 11.0665i | −0.674135 | + | 0.707012i | ||||
\(246\) | −5.38352 | + | 1.56568i | −0.343240 | + | 0.0998244i | ||||
\(247\) | −14.1425 | − | 40.8621i | −0.899867 | − | 2.60000i | ||||
\(248\) | −0.226651 | + | 2.19419i | −0.0143923 | + | 0.139331i | ||||
\(249\) | −12.2625 | − | 0.584134i | −0.777103 | − | 0.0370180i | ||||
\(250\) | 3.78241 | − | 2.95878i | 0.239221 | − | 0.187130i | ||||
\(251\) | 3.64037 | − | 5.11219i | 0.229778 | − | 0.322678i | −0.683549 | − | 0.729905i | \(-0.739564\pi\) |
0.913327 | + | 0.407226i | \(0.133504\pi\) | |||||||
\(252\) | 1.96578 | + | 1.89381i | 0.123833 | + | 0.119299i | ||||
\(253\) | −2.01269 | + | 3.13181i | −0.126537 | + | 0.196895i | ||||
\(254\) | −0.486146 | − | 3.44420i | −0.0305035 | − | 0.216108i | ||||
\(255\) | 3.85541 | + | 9.63035i | 0.241435 | + | 0.603076i | ||||
\(256\) | 11.8049 | − | 10.8002i | 0.737806 | − | 0.675013i | ||||
\(257\) | −15.4463 | + | 2.97702i | −0.963512 | + | 0.185702i | −0.646664 | − | 0.762775i | \(-0.723836\pi\) |
−0.316847 | + | 0.948477i | \(0.602624\pi\) | |||||||
\(258\) | 1.97519 | − | 2.06085i | 0.122970 | − | 0.128303i | ||||
\(259\) | −0.479664 | + | 0.308261i | −0.0298049 | + | 0.0191544i | ||||
\(260\) | −37.2900 | − | 11.1584i | −2.31263 | − | 0.692016i | ||||
\(261\) | −0.197791 | − | 4.15214i | −0.0122430 | − | 0.257011i | ||||
\(262\) | 5.41732 | − | 2.15258i | 0.334683 | − | 0.132987i | ||||
\(263\) | −1.12553 | + | 0.975279i | −0.0694033 | + | 0.0601383i | −0.688872 | − | 0.724883i | \(-0.741894\pi\) |
0.619468 | + | 0.785022i | \(0.287348\pi\) | |||||||
\(264\) | 1.98377 | + | 2.11299i | 0.122093 | + | 0.130046i | ||||
\(265\) | 25.9025 | − | 7.60565i | 1.59118 | − | 0.467211i | ||||
\(266\) | 12.7093 | − | 1.18055i | 0.779257 | − | 0.0723841i | ||||
\(267\) | 4.01214 | 0.245539 | ||||||||
\(268\) | 8.75508 | + | 13.8329i | 0.534802 | + | 0.844978i | ||||
\(269\) | −7.85375 | −0.478852 | −0.239426 | − | 0.970915i | \(-0.576959\pi\) | ||||
−0.239426 | + | 0.970915i | \(0.576959\pi\) | |||||||
\(270\) | 4.19127 | − | 0.389321i | 0.255072 | − | 0.0236933i | ||||
\(271\) | 19.7329 | − | 5.79411i | 1.19869 | − | 0.351967i | 0.379338 | − | 0.925258i | \(-0.376152\pi\) |
0.819351 | + | 0.573292i | \(0.194334\pi\) | |||||||
\(272\) | −3.42613 | + | 13.5132i | −0.207739 | + | 0.819356i | ||||
\(273\) | 6.74432 | − | 5.84399i | 0.408185 | − | 0.353694i | ||||
\(274\) | −28.2567 | + | 11.2279i | −1.70705 | + | 0.678302i | ||||
\(275\) | −0.188161 | − | 3.94999i | −0.0113466 | − | 0.238194i | ||||
\(276\) | −2.08300 | + | 6.96114i | −0.125382 | + | 0.419011i | ||||
\(277\) | 6.50261 | − | 4.17897i | 0.390704 | − | 0.251090i | −0.330510 | − | 0.943802i | \(-0.607221\pi\) |
0.721214 | + | 0.692712i | \(0.243584\pi\) | |||||||
\(278\) | 13.7394 | − | 14.3353i | 0.824035 | − | 0.859776i | ||||
\(279\) | −0.765797 | + | 0.147595i | −0.0458471 | + | 0.00883630i | ||||
\(280\) | 5.82166 | − | 9.90575i | 0.347911 | − | 0.591982i | ||||
\(281\) | −1.62351 | − | 4.05534i | −0.0968507 | − | 0.241921i | 0.872029 | − | 0.489455i | \(-0.162804\pi\) |
−0.968879 | + | 0.247533i | \(0.920380\pi\) | |||||||
\(282\) | −0.913177 | − | 6.46959i | −0.0543789 | − | 0.385259i | ||||
\(283\) | −6.13384 | + | 9.54444i | −0.364619 | + | 0.567358i | −0.974290 | − | 0.225296i | \(-0.927665\pi\) |
0.609671 | + | 0.792654i | \(0.291301\pi\) | |||||||
\(284\) | −12.3246 | + | 12.7930i | −0.731330 | + | 0.759124i | ||||
\(285\) | 11.4174 | − | 16.0335i | 0.676308 | − | 0.949742i | ||||
\(286\) | 7.46328 | − | 5.83813i | 0.441313 | − | 0.345216i | ||||
\(287\) | −5.40458 | − | 0.257452i | −0.319022 | − | 0.0151969i | ||||
\(288\) | 4.86213 | + | 2.89131i | 0.286504 | + | 0.170372i | ||||
\(289\) | 1.58742 | + | 4.58655i | 0.0933778 | + | 0.269797i | ||||
\(290\) | −16.8014 | + | 4.88633i | −0.986610 | + | 0.286935i | ||||
\(291\) | −10.9082 | + | 11.4401i | −0.639448 | + | 0.670633i | ||||
\(292\) | 20.0907 | + | 0.103549i | 1.17572 | + | 0.00605973i | ||||
\(293\) | −1.29766 | + | 9.02545i | −0.0758103 | + | 0.527273i | 0.916161 | + | 0.400810i | \(0.131271\pi\) |
−0.991971 | + | 0.126462i | \(0.959638\pi\) | |||||||
\(294\) | −3.31247 | − | 6.46616i | −0.193187 | − | 0.377114i | ||||
\(295\) | −22.6738 | + | 26.1669i | −1.32012 | + | 1.52350i | ||||
\(296\) | −0.822008 | + | 0.848860i | −0.0477783 | + | 0.0493390i | ||||
\(297\) | −0.512350 | + | 0.887416i | −0.0297296 | + | 0.0514931i | ||||
\(298\) | −0.367792 | + | 0.708926i | −0.0213056 | + | 0.0410670i | ||||
\(299\) | 22.0536 | + | 8.82895i | 1.27540 | + | 0.510591i | ||||
\(300\) | −2.48678 | − | 7.30672i | −0.143575 | − | 0.421853i | ||||
\(301\) | 2.44859 | − | 1.26234i | 0.141134 | − | 0.0727599i | ||||
\(302\) | −1.31131 | + | 2.25779i | −0.0754573 | + | 0.129921i | ||||
\(303\) | 5.34528 | + | 5.60597i | 0.307078 | + | 0.322055i | ||||
\(304\) | 25.0851 | − | 8.39351i | 1.43873 | − | 0.481401i | ||||
\(305\) | 18.1121 | + | 31.3710i | 1.03709 | + | 1.79630i | ||||
\(306\) | −4.92380 | + | 0.221834i | −0.281475 | + | 0.0126814i | ||||
\(307\) | 3.72723 | + | 4.73956i | 0.212724 | + | 0.270501i | 0.880692 | − | 0.473689i | \(-0.157078\pi\) |
−0.667968 | + | 0.744190i | \(0.732836\pi\) | |||||||
\(308\) | 1.14880 | + | 2.55023i | 0.0654591 | + | 0.145313i | ||||
\(309\) | −1.10704 | + | 11.5934i | −0.0629770 | + | 0.659525i | ||||
\(310\) | 1.35603 | + | 2.98965i | 0.0770171 | + | 0.169801i | ||||
\(311\) | 6.94192 | + | 15.2007i | 0.393640 | + | 0.861951i | 0.997876 | + | 0.0651457i | \(0.0207512\pi\) |
−0.604236 | + | 0.796806i | \(0.706521\pi\) | |||||||
\(312\) | 10.8438 | − | 14.9815i | 0.613908 | − | 0.848159i | ||||
\(313\) | 0.164107 | − | 0.558898i | 0.00927589 | − | 0.0315908i | −0.954725 | − | 0.297490i | \(-0.903851\pi\) |
0.964001 | + | 0.265899i | \(0.0856688\pi\) | |||||||
\(314\) | −15.3422 | + | 19.4061i | −0.865813 | + | 1.09515i | ||||
\(315\) | 3.94775 | + | 0.957714i | 0.222431 | + | 0.0539611i | ||||
\(316\) | −7.71459 | − | 4.02761i | −0.433979 | − | 0.226571i | ||||
\(317\) | −19.3371 | + | 1.84647i | −1.08608 | + | 0.103708i | −0.622706 | − | 0.782456i | \(-0.713967\pi\) |
−0.463372 | + | 0.886164i | \(0.653361\pi\) | |||||||
\(318\) | −0.643339 | + | 12.8106i | −0.0360766 | + | 0.718386i | ||||
\(319\) | 1.39315 | − | 4.02526i | 0.0780017 | − | 0.225371i | ||||
\(320\) | 7.06091 | − | 22.7405i | 0.394717 | − | 1.27123i | ||||
\(321\) | 15.5073 | + | 7.08195i | 0.865534 | + | 0.395276i | ||||
\(322\) | −4.08222 | + | 5.70153i | −0.227493 | + | 0.317734i | ||||
\(323\) | −14.2471 | + | 18.1167i | −0.792730 | + | 1.00804i | ||||
\(324\) | −0.481529 | + | 1.94117i | −0.0267516 | + | 0.107843i | ||||
\(325\) | −24.5224 | + | 5.94906i | −1.36026 | + | 0.329995i | ||||
\(326\) | 8.14023 | − | 17.7037i | 0.450846 | − | 0.980519i | ||||
\(327\) | 10.0372 | − | 1.44313i | 0.555058 | − | 0.0798053i | ||||
\(328\) | −11.0266 | + | 2.03692i | −0.608841 | + | 0.112470i | ||||
\(329\) | 1.19332 | − | 6.19152i | 0.0657897 | − | 0.341350i | ||||
\(330\) | 4.13542 | + | 1.22585i | 0.227647 | + | 0.0674810i | ||||
\(331\) | 18.7032 | + | 26.2650i | 1.02802 | + | 1.44365i | 0.891502 | + | 0.453016i | \(0.149652\pi\) |
0.136519 | + | 0.990637i | \(0.456409\pi\) | |||||||
\(332\) | −24.2845 | − | 3.61943i | −1.33279 | − | 0.198642i | ||||
\(333\) | −0.371330 | − | 0.191434i | −0.0203487 | − | 0.0104905i | ||||
\(334\) | −15.7816 | + | 10.0848i | −0.863528 | + | 0.551817i | ||||
\(335\) | 21.6350 | + | 11.2022i | 1.18205 | + | 0.612041i | ||||
\(336\) | 3.53232 | + | 4.16245i | 0.192704 | + | 0.227080i | ||||
\(337\) | 15.3969 | − | 29.8658i | 0.838722 | − | 1.62689i | 0.0611247 | − | 0.998130i | \(-0.480531\pi\) |
0.777597 | − | 0.628763i | \(-0.216438\pi\) | |||||||
\(338\) | −31.7297 | − | 27.6374i | −1.72587 | − | 1.50328i | ||||
\(339\) | −1.05160 | + | 0.748842i | −0.0571151 | + | 0.0406715i | ||||
\(340\) | 5.74238 | + | 19.9363i | 0.311424 | + | 1.08120i | ||||
\(341\) | −0.784713 | − | 0.151241i | −0.0424946 | − | 0.00819016i | ||||
\(342\) | 5.40518 | + | 7.63206i | 0.292279 | + | 0.412695i | ||||
\(343\) | −2.35746 | − | 16.3965i | −0.127291 | − | 0.885327i | ||||
\(344\) | 4.34343 | − | 3.70520i | 0.234182 | − | 0.199771i | ||||
\(345\) | 2.54939 | + | 10.5087i | 0.137254 | + | 0.565771i | ||||
\(346\) | 9.34888 | + | 9.85556i | 0.502599 | + | 0.529838i | ||||
\(347\) | −12.3975 | − | 9.74953i | −0.665535 | − | 0.523382i | 0.227267 | − | 0.973833i | \(-0.427021\pi\) |
−0.892802 | + | 0.450450i | \(0.851264\pi\) | |||||||
\(348\) | 0.438377 | − | 8.30214i | 0.0234995 | − | 0.445041i | ||||
\(349\) | 4.25419 | − | 9.31537i | 0.227721 | − | 0.498640i | −0.760936 | − | 0.648827i | \(-0.775260\pi\) |
0.988658 | + | 0.150186i | \(0.0479873\pi\) | |||||||
\(350\) | 0.0191952 | − | 7.44864i | 0.00102603 | − | 0.398147i | ||||
\(351\) | 6.17903 | + | 2.13858i | 0.329812 | + | 0.114149i | ||||
\(352\) | 3.52420 | + | 4.60221i | 0.187841 | + | 0.245299i | ||||
\(353\) | 0.0239089 | + | 0.250385i | 0.00127254 | + | 0.0133267i | 0.996086 | − | 0.0883906i | \(-0.0281724\pi\) |
−0.994813 | + | 0.101717i | \(0.967566\pi\) | |||||||
\(354\) | −8.18878 | − | 14.2682i | −0.435229 | − | 0.758345i | ||||
\(355\) | −6.23264 | + | 25.6913i | −0.330794 | + | 1.36355i | ||||
\(356\) | 7.98390 | + | 0.803915i | 0.423146 | + | 0.0426074i | ||||
\(357\) | −4.56393 | − | 1.34009i | −0.241549 | − | 0.0709252i | ||||
\(358\) | −3.13003 | + | 16.0179i | −0.165427 | + | 0.846572i | ||||
\(359\) | −17.6218 | + | 8.04762i | −0.930045 | + | 0.424737i | −0.822051 | − | 0.569414i | \(-0.807170\pi\) |
−0.107994 | + | 0.994152i | \(0.534443\pi\) | |||||||
\(360\) | 8.41837 | + | 0.0650839i | 0.443687 | + | 0.00343022i | ||||
\(361\) | 24.6202 | + | 2.35094i | 1.29580 | + | 0.123734i | ||||
\(362\) | 22.1084 | + | 3.23688i | 1.16199 | + | 0.170127i | ||||
\(363\) | 7.82122 | − | 6.15068i | 0.410508 | − | 0.322827i | ||||
\(364\) | 14.5917 | − | 10.2778i | 0.764815 | − | 0.538703i | ||||
\(365\) | 25.8939 | − | 14.9499i | 1.35535 | − | 0.782511i | ||||
\(366\) | −16.9087 | + | 3.21372i | −0.883833 | + | 0.167984i | ||||
\(367\) | 3.14628 | − | 2.99997i | 0.164235 | − | 0.156597i | −0.603505 | − | 0.797359i | \(-0.706230\pi\) |
0.767740 | + | 0.640762i | \(0.221381\pi\) | |||||||
\(368\) | −5.53986 | + | 13.4349i | −0.288785 | + | 0.700340i | ||||
\(369\) | −1.81661 | − | 3.52374i | −0.0945691 | − | 0.183438i | ||||
\(370\) | −0.418991 | + | 1.70788i | −0.0217823 | + | 0.0887886i | ||||
\(371\) | −4.60070 | + | 11.4920i | −0.238856 | + | 0.596634i | ||||
\(372\) | −1.55346 | + | 0.140262i | −0.0805433 | + | 0.00727225i | ||||
\(373\) | 16.0361 | + | 9.25844i | 0.830318 | + | 0.479384i | 0.853961 | − | 0.520336i | \(-0.174193\pi\) |
−0.0236439 | + | 0.999720i | \(0.507527\pi\) | |||||||
\(374\) | −4.76849 | − | 1.66416i | −0.246573 | − | 0.0860518i | ||||
\(375\) | 2.56627 | + | 2.22368i | 0.132522 | + | 0.114831i | ||||
\(376\) | −0.520846 | − | 13.0571i | −0.0268606 | − | 0.673366i | ||||
\(377\) | −26.9036 | − | 3.86815i | −1.38560 | − | 0.199220i | ||||
\(378\) | −1.04769 | + | 1.62103i | −0.0538873 | + | 0.0833770i | ||||
\(379\) | 11.5120 | + | 10.9767i | 0.591333 | + | 0.563835i | 0.925533 | − | 0.378667i | \(-0.123618\pi\) |
−0.334200 | + | 0.942502i | \(0.608466\pi\) | |||||||
\(380\) | 25.9326 | − | 29.6179i | 1.33031 | − | 1.51937i | ||||
\(381\) | 2.32429 | − | 0.804443i | 0.119077 | − | 0.0412129i | ||||
\(382\) | 31.9106 | − | 10.9524i | 1.63269 | − | 0.560371i | ||||
\(383\) | −1.23262 | + | 25.8759i | −0.0629841 | + | 1.32220i | 0.717296 | + | 0.696768i | \(0.245380\pi\) |
−0.780280 | + | 0.625430i | \(0.784924\pi\) | |||||||
\(384\) | 9.09600 | + | 6.72776i | 0.464178 | + | 0.343325i | ||||
\(385\) | 3.39075 | + | 2.41454i | 0.172809 | + | 0.123057i | ||||
\(386\) | −21.3115 | + | 5.11199i | −1.08473 | + | 0.260194i | ||||
\(387\) | 1.69805 | + | 1.09127i | 0.0863167 | + | 0.0554724i | ||||
\(388\) | −23.9988 | + | 20.5795i | −1.21836 | + | 1.04477i | ||||
\(389\) | −16.9026 | + | 6.76677i | −0.856994 | + | 0.343089i | −0.758202 | − | 0.652019i | \(-0.773922\pi\) |
−0.0987919 | + | 0.995108i | \(0.531498\pi\) | |||||||
\(390\) | 2.68685 | − | 27.3918i | 0.136054 | − | 1.38704i | ||||
\(391\) | −2.39627 | − | 12.4330i | −0.121185 | − | 0.628766i | ||||
\(392\) | −5.29598 | − | 13.5310i | −0.267487 | − | 0.683417i | ||||
\(393\) | 2.22849 | + | 3.46760i | 0.112413 | + | 0.174918i | ||||
\(394\) | 6.07394 | + | 7.04631i | 0.306001 | + | 0.354988i | ||||
\(395\) | −12.9368 | + | 0.616255i | −0.650920 | + | 0.0310072i | ||||
\(396\) | −1.19736 | + | 1.66324i | −0.0601695 | + | 0.0835811i | ||||
\(397\) | −1.73179 | − | 1.99859i | −0.0869159 | − | 0.100306i | 0.710626 | − | 0.703570i | \(-0.248412\pi\) |
−0.797542 | + | 0.603264i | \(0.793867\pi\) | |||||||
\(398\) | −3.42510 | − | 1.38146i | −0.171685 | − | 0.0692461i | ||||
\(399\) | 2.54278 | + | 8.65992i | 0.127298 | + | 0.433538i | ||||
\(400\) | −3.48449 | − | 15.0382i | −0.174225 | − | 0.751909i | ||||
\(401\) | 23.2585i | 1.16148i | 0.814090 | + | 0.580738i | \(0.197236\pi\) | ||||
−0.814090 | + | 0.580738i | \(0.802764\pi\) | |||||||
\(402\) | −8.41249 | + | 7.95173i | −0.419577 | + | 0.396596i | ||||
\(403\) | 5.09944i | 0.254021i | ||||||||
\(404\) | 9.51351 | + | 12.2266i | 0.473315 | + | 0.608295i | ||||
\(405\) | 0.838558 | + | 2.85587i | 0.0416683 | + | 0.141909i | ||||
\(406\) | 3.00113 | − | 7.44084i | 0.148944 | − | 0.369282i | ||||
\(407\) | −0.280339 | − | 0.323529i | −0.0138959 | − | 0.0160367i | ||||
\(408\) | −9.84250 | − | 0.545151i | −0.487277 | − | 0.0269890i | ||||
\(409\) | 26.7617 | − | 1.27482i | 1.32328 | − | 0.0630357i | 0.625995 | − | 0.779827i | \(-0.284693\pi\) |
0.697288 | + | 0.716791i | \(0.254390\pi\) | |||||||
\(410\) | −12.6397 | + | 10.8955i | −0.624233 | + | 0.538090i | ||||
\(411\) | −11.6238 | − | 18.0870i | −0.573361 | − | 0.892168i | ||||
\(412\) | −4.52591 | + | 22.8483i | −0.222976 | + | 1.12566i | ||||
\(413\) | −3.00462 | − | 15.5894i | −0.147848 | − | 0.767106i | ||||
\(414\) | −5.11337 | − | 0.501569i | −0.251309 | − | 0.0246508i | ||||
\(415\) | −33.9224 | + | 13.5805i | −1.66518 | + | 0.666639i | ||||
\(416\) | 24.5803 | − | 27.6394i | 1.20515 | − | 1.35513i | ||||
\(417\) | 11.8116 | + | 7.59088i | 0.578419 | + | 0.371727i | ||||
\(418\) | 2.23533 | + | 9.31889i | 0.109333 | + | 0.455802i | ||||
\(419\) | 18.3441 | + | 13.0627i | 0.896166 | + | 0.638157i | 0.932495 | − | 0.361183i | \(-0.117627\pi\) |
−0.0363290 | + | 0.999340i | \(0.511566\pi\) | |||||||
\(420\) | 7.66388 | + | 2.69681i | 0.373959 | + | 0.131591i | ||||
\(421\) | −0.751225 | + | 15.7702i | −0.0366125 | + | 0.768590i | 0.903677 | + | 0.428215i | \(0.140857\pi\) |
−0.940290 | + | 0.340376i | \(0.889446\pi\) | |||||||
\(422\) | −1.74227 | − | 5.07626i | −0.0848126 | − | 0.247108i | ||||
\(423\) | 4.36594 | − | 1.51107i | 0.212279 | − | 0.0734706i | ||||
\(424\) | −3.84708 | + | 25.3635i | −0.186831 | + | 1.23176i | ||||
\(425\) | 9.73412 | + | 9.28146i | 0.472174 | + | 0.450217i | ||||
\(426\) | −10.5494 | − | 6.81818i | −0.511121 | − | 0.330342i | ||||
\(427\) | −16.4411 | − | 2.36387i | −0.795640 | − | 0.114396i | ||||
\(428\) | 29.4396 | + | 17.1999i | 1.42302 | + | 0.831387i | ||||
\(429\) | 5.06364 | + | 4.38767i | 0.244475 | + | 0.211839i | ||||
\(430\) | 2.79958 | − | 8.02191i | 0.135008 | − | 0.386851i | ||||
\(431\) | 11.7790 | + | 6.80059i | 0.567373 | + | 0.327573i | 0.756099 | − | 0.654457i | \(-0.227103\pi\) |
−0.188727 | + | 0.982030i | \(0.560436\pi\) | |||||||
\(432\) | −1.34717 | + | 3.76632i | −0.0648156 | + | 0.181207i | ||||
\(433\) | −14.1124 | + | 35.2510i | −0.678197 | + | 1.69405i | 0.0409178 | + | 0.999163i | \(0.486972\pi\) |
−0.719115 | + | 0.694891i | \(0.755452\pi\) | |||||||
\(434\) | −1.46194 | − | 0.358655i | −0.0701754 | − | 0.0172160i | ||||
\(435\) | −5.66945 | − | 10.9972i | −0.271829 | − | 0.527275i | ||||
\(436\) | 20.2626 | − | 0.860579i | 0.970400 | − | 0.0412142i | ||||
\(437\) | −17.3881 | + | 16.5795i | −0.831784 | + | 0.793105i | ||||
\(438\) | 2.65263 | + | 13.9566i | 0.126748 | + | 0.666873i | ||||
\(439\) | 31.2873 | − | 18.0637i | 1.49326 | − | 0.862135i | 0.493291 | − | 0.869864i | \(-0.335794\pi\) |
0.999970 | + | 0.00772942i | \(0.00246038\pi\) | |||||||
\(440\) | 7.98360 | + | 3.26799i | 0.380603 | + | 0.155795i | ||||
\(441\) | 4.03819 | − | 3.17567i | 0.192295 | − | 0.151222i | ||||
\(442\) | −4.66867 | + | 31.8877i | −0.222066 | + | 1.51674i | ||||
\(443\) | 9.40249 | + | 0.897829i | 0.446726 | + | 0.0426572i | 0.315995 | − | 0.948761i | \(-0.397662\pi\) |
0.130731 | + | 0.991418i | \(0.458268\pi\) | |||||||
\(444\) | −0.700565 | − | 0.455345i | −0.0332473 | − | 0.0216097i | ||||
\(445\) | 10.8627 | − | 4.96083i | 0.514941 | − | 0.235166i | ||||
\(446\) | −1.57531 | − | 0.307828i | −0.0745930 | − | 0.0145761i | ||||
\(447\) | −0.541858 | − | 0.159104i | −0.0256290 | − | 0.00752535i | ||||
\(448\) | 6.19506 | + | 8.99078i | 0.292689 | + | 0.424774i | ||||
\(449\) | 7.44943 | − | 30.7070i | 0.351560 | − | 1.44915i | −0.471837 | − | 0.881686i | \(-0.656409\pi\) |
0.823397 | − | 0.567465i | \(-0.192076\pi\) | |||||||
\(450\) | 4.73349 | − | 2.71664i | 0.223139 | − | 0.128064i | ||||
\(451\) | −0.386152 | − | 4.04397i | −0.0181832 | − | 0.190423i | ||||
\(452\) | −2.24267 | + | 1.27944i | −0.105486 | + | 0.0601797i | ||||
\(453\) | −1.74469 | − | 0.603844i | −0.0819728 | − | 0.0283711i | ||||
\(454\) | 34.5679 | + | 0.0890818i | 1.62235 | + | 0.00418082i | ||||
\(455\) | 11.0341 | − | 24.1614i | 0.517288 | − | 1.13270i | ||||
\(456\) | 9.22673 | + | 16.2704i | 0.432081 | + | 0.761930i | ||||
\(457\) | −13.7611 | − | 10.8218i | −0.643716 | − | 0.506224i | 0.242106 | − | 0.970250i | \(-0.422162\pi\) |
−0.885821 | + | 0.464026i | \(0.846404\pi\) | |||||||
\(458\) | 10.4508 | − | 9.91348i | 0.488331 | − | 0.463226i | ||||
\(459\) | −0.821663 | − | 3.38694i | −0.0383520 | − | 0.158089i | ||||
\(460\) | 2.96748 | + | 21.4225i | 0.138360 | + | 0.998831i | ||||
\(461\) | −4.94804 | − | 34.4144i | −0.230453 | − | 1.60284i | −0.696152 | − | 0.717895i | \(-0.745106\pi\) |
0.465699 | − | 0.884943i | \(-0.345803\pi\) | |||||||
\(462\) | −1.61402 | + | 1.14308i | −0.0750912 | + | 0.0531811i | ||||
\(463\) | −23.9065 | − | 4.60760i | −1.11103 | − | 0.214133i | −0.399461 | − | 0.916750i | \(-0.630803\pi\) |
−0.711569 | + | 0.702617i | \(0.752015\pi\) | |||||||
\(464\) | 2.53585 | − | 16.4329i | 0.117724 | − | 0.762878i | ||||
\(465\) | −1.89087 | + | 1.34648i | −0.0876870 | + | 0.0624416i | ||||
\(466\) | 17.4433 | − | 20.0261i | 0.808043 | − | 0.927690i | ||||
\(467\) | −12.6376 | + | 24.5136i | −0.584799 | + | 1.13435i | 0.391954 | + | 0.919985i | \(0.371799\pi\) |
−0.976753 | + | 0.214367i | \(0.931231\pi\) | |||||||
\(468\) | 11.8674 | + | 5.49375i | 0.548570 | + | 0.253949i | ||||
\(469\) | −10.1701 | + | 4.62277i | −0.469612 | + | 0.213460i | ||||
\(470\) | −10.4717 | − | 16.3871i | −0.483026 | − | 0.755878i | ||||
\(471\) | −15.5480 | − | 8.01557i | −0.716416 | − | 0.369338i | ||||
\(472\) | −13.4362 | − | 30.0336i | −0.618453 | − | 1.38241i | ||||
\(473\) | 1.19975 | + | 1.68481i | 0.0551646 | + | 0.0774678i | ||||
\(474\) | 1.74891 | − | 5.89996i | 0.0803302 | − | 0.270994i | ||||
\(475\) | 4.82982 | − | 25.0595i | 0.221607 | − | 1.14981i | ||||
\(476\) | −8.81343 | − | 3.58118i | −0.403963 | − | 0.164143i | ||||
\(477\) | −8.97759 | + | 1.29078i | −0.411056 | + | 0.0591009i | ||||
\(478\) | −14.1903 | − | 6.52474i | −0.649049 | − | 0.298435i | ||||
\(479\) | −27.2829 | + | 6.61877i | −1.24659 | + | 0.302419i | −0.804175 | − | 0.594392i | \(-0.797393\pi\) |
−0.442413 | + | 0.896811i | \(0.645878\pi\) | |||||||
\(480\) | 16.7390 | + | 1.81631i | 0.764027 | + | 0.0829028i | ||||
\(481\) | −1.68860 | + | 2.14723i | −0.0769935 | + | 0.0979053i | ||||
\(482\) | −7.00558 | − | 5.01591i | −0.319095 | − | 0.228468i | ||||
\(483\) | −4.51034 | − | 2.05980i | −0.205228 | − | 0.0937243i | ||||
\(484\) | 16.7962 | − | 10.6723i | 0.763462 | − | 0.485105i | ||||
\(485\) | −15.3882 | + | 44.4612i | −0.698740 | + | 2.01888i | ||||
\(486\) | −1.41243 | − | 0.0709311i | −0.0640693 | − | 0.00321750i | ||||
\(487\) | 20.2834 | − | 1.93683i | 0.919130 | − | 0.0877663i | 0.375245 | − | 0.926926i | \(-0.377559\pi\) |
0.543885 | + | 0.839160i | \(0.316953\pi\) | |||||||
\(488\) | −34.2913 | + | 3.00709i | −1.55229 | + | 0.136124i | ||||
\(489\) | 13.3900 | + | 3.24837i | 0.605515 | + | 0.146896i | ||||
\(490\) | −16.9635 | − | 13.4111i | −0.766332 | − | 0.605853i | ||||
\(491\) | 7.79232 | − | 26.5382i | 0.351662 | − | 1.19765i | −0.573858 | − | 0.818955i | \(-0.694554\pi\) |
0.925521 | − | 0.378697i | \(-0.123628\pi\) | |||||||
\(492\) | −2.90889 | − | 7.37601i | −0.131143 | − | 0.332536i | ||||
\(493\) | 6.01828 | + | 13.1782i | 0.271050 | + | 0.593516i | ||||
\(494\) | 55.6902 | − | 25.2596i | 2.50562 | − | 1.13648i | ||||
\(495\) | −0.289916 | + | 3.03614i | −0.0130308 | + | 0.136464i | ||||
\(496\) | −3.11940 | − | 0.0321560i | −0.140065 | − | 0.00144385i | ||||
\(497\) | −7.49342 | − | 9.52866i | −0.336126 | − | 0.427419i | ||||
\(498\) | −0.781397 | − | 17.3438i | −0.0350152 | − | 0.777196i | ||||
\(499\) | −16.2418 | − | 28.1316i | −0.727081 | − | 1.25934i | −0.958112 | − | 0.286395i | \(-0.907543\pi\) |
0.231031 | − | 0.972946i | \(-0.425790\pi\) | |||||||
\(500\) | 4.66115 | + | 4.93920i | 0.208453 | + | 0.220888i | ||||
\(501\) | −9.13881 | − | 9.58451i | −0.408292 | − | 0.428204i | ||||
\(502\) | 7.67490 | + | 4.45752i | 0.342548 | + | 0.198949i | ||||
\(503\) | −28.2448 | + | 14.5612i | −1.25937 | + | 0.649253i | −0.953090 | − | 0.302687i | \(-0.902116\pi\) |
−0.306285 | + | 0.951940i | \(0.599086\pi\) | |||||||
\(504\) | −2.40964 | + | 3.01583i | −0.107334 | + | 0.134336i | ||||
\(505\) | 21.4037 | + | 8.56873i | 0.952450 | + | 0.381304i | ||||
\(506\) | −4.67333 | − | 2.42453i | −0.207755 | − | 0.107784i | ||||
\(507\) | 14.8770 | − | 25.7677i | 0.660711 | − | 1.14439i | ||||
\(508\) | 4.78637 | − | 1.13507i | 0.212361 | − | 0.0503607i | ||||
\(509\) | −19.9659 | + | 23.0419i | −0.884972 | + | 1.02131i | 0.114638 | + | 0.993407i | \(0.463429\pi\) |
−0.999611 | + | 0.0279051i | \(0.991116\pi\) | |||||||
\(510\) | −13.0567 | + | 6.68866i | −0.578160 | + | 0.296179i | ||||
\(511\) | −1.95116 | + | 13.5706i | −0.0863143 | + | 0.600329i | ||||
\(512\) | 16.7524 | + | 15.2104i | 0.740359 | + | 0.672211i | ||||
\(513\) | −4.56351 | + | 4.78607i | −0.201484 | + | 0.211310i | ||||
\(514\) | −6.21249 | − | 21.3613i | −0.274021 | − | 0.942206i | ||||
\(515\) | 11.3375 | + | 32.7574i | 0.499588 | + | 1.44347i | ||||
\(516\) | 3.16035 | + | 2.51180i | 0.139127 | + | 0.110576i | ||||
\(517\) | 4.72879 | + | 0.225260i | 0.207972 | + | 0.00990693i | ||||
\(518\) | −0.496819 | − | 0.635118i | −0.0218290 | − | 0.0279055i | ||||
\(519\) | −5.57177 | + | 7.82446i | −0.244574 | + | 0.343456i | ||||
\(520\) | 10.8352 | − | 53.9696i | 0.475154 | − | 2.36672i | ||||
\(521\) | 9.06294 | − | 14.1022i | 0.397054 | − | 0.617829i | −0.583956 | − | 0.811786i | \(-0.698496\pi\) |
0.981010 | + | 0.193957i | \(0.0621322\pi\) | |||||||
\(522\) | 5.82098 | − | 0.821625i | 0.254777 | − | 0.0359615i | ||||
\(523\) | −8.58136 | − | 21.4352i | −0.375237 | − | 0.937296i | −0.989015 | − | 0.147817i | \(-0.952775\pi\) |
0.613778 | − | 0.789479i | \(-0.289649\pi\) | |||||||
\(524\) | 3.73976 | + | 7.34684i | 0.163372 | + | 0.320948i | ||||
\(525\) | 5.17182 | − | 0.996787i | 0.225717 | − | 0.0435033i | ||||
\(526\) | −1.52056 | − | 1.45735i | −0.0662996 | − | 0.0635436i | ||||
\(527\) | 2.28658 | − | 1.46950i | 0.0996050 | − | 0.0640123i | ||||
\(528\) | −2.71593 | + | 3.06983i | −0.118196 | + | 0.133597i | ||||
\(529\) | 0.466346 | + | 9.78981i | 0.0202759 | + | 0.425644i | ||||
\(530\) | 14.0980 | + | 35.4798i | 0.612377 | + | 1.54114i | ||||
\(531\) | 8.79137 | − | 7.61776i | 0.381513 | − | 0.330583i | ||||
\(532\) | 3.32478 | + | 17.7422i | 0.144148 | + | 0.769222i | ||||
\(533\) | −24.8721 | + | 7.30311i | −1.07733 | + | 0.316333i | ||||
\(534\) | 0.524792 | + | 5.64970i | 0.0227100 | + | 0.244486i | ||||
\(535\) | 50.7419 | 2.19376 | ||||||||
\(536\) | −18.3336 | + | 14.1378i | −0.791892 | + | 0.610662i | ||||
\(537\) | −11.5406 | −0.498013 | ||||||||
\(538\) | −1.02728 | − | 11.0593i | −0.0442892 | − | 0.476799i | ||||
\(539\) | 5.05095 | − | 1.48309i | 0.217560 | − | 0.0638814i | ||||
\(540\) | 1.09645 | + | 5.85102i | 0.0471835 | + | 0.251788i | ||||
\(541\) | −3.09201 | + | 2.67924i | −0.132936 | + | 0.115190i | −0.718791 | − | 0.695226i | \(-0.755304\pi\) |
0.585855 | + | 0.810416i | \(0.300759\pi\) | |||||||
\(542\) | 10.7401 | + | 27.0291i | 0.461325 | + | 1.16100i | ||||
\(543\) | 0.751778 | + | 15.7818i | 0.0322619 | + | 0.677260i | ||||
\(544\) | −19.4767 | − | 3.05697i | −0.835058 | − | 0.131066i | ||||
\(545\) | 25.3909 | − | 16.3178i | 1.08763 | − | 0.698976i | ||||
\(546\) | 9.11138 | + | 8.73262i | 0.389931 | + | 0.373722i | ||||
\(547\) | 22.8025 | − | 4.39483i | 0.974966 | − | 0.187909i | 0.323201 | − | 0.946330i | \(-0.395241\pi\) |
0.651765 | + | 0.758421i | \(0.274029\pi\) | |||||||
\(548\) | −19.5066 | − | 38.3212i | −0.833280 | − | 1.63700i | ||||
\(549\) | −4.52325 | − | 11.2985i | −0.193048 | − | 0.482210i | ||||
\(550\) | 5.53758 | − | 0.781624i | 0.236123 | − | 0.0333285i | ||||
\(551\) | 14.8619 | − | 23.1255i | 0.633138 | − | 0.985181i | ||||
\(552\) | −10.0748 | − | 2.02266i | −0.428812 | − | 0.0860902i | ||||
\(553\) | 3.44481 | − | 4.83756i | 0.146488 | − | 0.205714i | ||||
\(554\) | 6.73518 | + | 8.61005i | 0.286150 | + | 0.365806i | ||||
\(555\) | −1.24206 | − | 0.0591665i | −0.0527225 | − | 0.00251148i | ||||
\(556\) | 21.9834 | + | 17.4721i | 0.932306 | + | 0.740982i | ||||
\(557\) | −5.30050 | − | 15.3148i | −0.224589 | − | 0.648908i | −0.999851 | − | 0.0172680i | \(-0.994503\pi\) |
0.775262 | − | 0.631640i | \(-0.217618\pi\) | |||||||
\(558\) | −0.308004 | − | 1.05905i | −0.0130388 | − | 0.0448333i | ||||
\(559\) | 9.10774 | − | 9.55192i | 0.385216 | − | 0.404003i | ||||
\(560\) | 14.7103 | + | 6.90209i | 0.621623 | + | 0.291667i | ||||
\(561\) | 0.508245 | − | 3.53492i | 0.0214581 | − | 0.149244i | ||||
\(562\) | 5.49818 | − | 2.81660i | 0.231927 | − | 0.118811i | ||||
\(563\) | −20.6855 | + | 23.8724i | −0.871790 | + | 1.00610i | 0.128107 | + | 0.991760i | \(0.459110\pi\) |
−0.999897 | + | 0.0143394i | \(0.995435\pi\) | |||||||
\(564\) | 8.99072 | − | 2.13212i | 0.378578 | − | 0.0897785i | ||||
\(565\) | −1.92126 | + | 3.32772i | −0.0808279 | + | 0.139998i | ||||
\(566\) | −14.2423 | − | 7.38895i | −0.598650 | − | 0.310581i | ||||
\(567\) | −1.26704 | − | 0.507248i | −0.0532109 | − | 0.0213024i | ||||
\(568\) | −19.6265 | − | 15.6816i | −0.823511 | − | 0.657983i | ||||
\(569\) | −22.4763 | + | 11.5873i | −0.942255 | + | 0.485766i | −0.859688 | − | 0.510819i | \(-0.829342\pi\) |
−0.0825671 | + | 0.996586i | \(0.526312\pi\) | |||||||
\(570\) | 24.0710 | + | 13.9802i | 1.00822 | + | 0.585567i | ||||
\(571\) | 13.4002 | + | 14.0537i | 0.560781 | + | 0.588130i | 0.941690 | − | 0.336483i | \(-0.109237\pi\) |
−0.380909 | + | 0.924613i | \(0.624389\pi\) | |||||||
\(572\) | 9.19717 | + | 9.74580i | 0.384553 | + | 0.407492i | ||||
\(573\) | 11.9281 | + | 20.6601i | 0.498304 | + | 0.863088i | ||||
\(574\) | −0.344394 | − | 7.64414i | −0.0143747 | − | 0.319060i | ||||
\(575\) | 8.66690 | + | 11.0209i | 0.361435 | + | 0.459602i | ||||
\(576\) | −3.43544 | + | 7.22480i | −0.143143 | + | 0.301033i | ||||
\(577\) | 1.41258 | − | 14.7932i | 0.0588065 | − | 0.615849i | −0.917247 | − | 0.398319i | \(-0.869594\pi\) |
0.976054 | − | 0.217531i | \(-0.0698002\pi\) | |||||||
\(578\) | −6.25093 | + | 2.83526i | −0.260004 | + | 0.117931i | ||||
\(579\) | −6.43767 | − | 14.0965i | −0.267540 | − | 0.585832i | ||||
\(580\) | −9.07833 | − | 23.0197i | −0.376957 | − | 0.955842i | ||||
\(581\) | 4.72040 | − | 16.0762i | 0.195835 | − | 0.666954i | ||||
\(582\) | −17.5363 | − | 13.8640i | −0.726901 | − | 0.574679i | ||||
\(583\) | −9.03196 | − | 2.19113i | −0.374066 | − | 0.0907473i | ||||
\(584\) | 2.48208 | + | 28.3043i | 0.102709 | + | 1.17124i | ||||
\(585\) | 19.3737 | − | 1.84997i | 0.801006 | − | 0.0764868i | ||||
\(586\) | −12.8789 | − | 0.646768i | −0.532024 | − | 0.0267177i | ||||
\(587\) | −8.47136 | + | 24.4764i | −0.349651 | + | 1.01025i | 0.623846 | + | 0.781547i | \(0.285569\pi\) |
−0.973497 | + | 0.228702i | \(0.926552\pi\) | |||||||
\(588\) | 8.67205 | − | 5.51024i | 0.357630 | − | 0.227239i | ||||
\(589\) | −4.69137 | − | 2.14248i | −0.193305 | − | 0.0882793i | ||||
\(590\) | −39.8127 | − | 28.5054i | −1.63906 | − | 1.17355i | ||||
\(591\) | −4.06632 | + | 5.17075i | −0.167266 | + | 0.212696i | ||||
\(592\) | −1.30284 | − | 1.04648i | −0.0535465 | − | 0.0430101i | ||||
\(593\) | 40.6666 | − | 9.86562i | 1.66998 | − | 0.405133i | 0.714370 | − | 0.699769i | \(-0.246714\pi\) |
0.955610 | + | 0.294636i | \(0.0951985\pi\) | |||||||
\(594\) | −1.31663 | − | 0.605392i | −0.0540221 | − | 0.0248395i | ||||
\(595\) | −14.0136 | + | 2.01485i | −0.574502 | + | 0.0826010i | ||||
\(596\) | −1.04638 | − | 0.425179i | −0.0428615 | − | 0.0174160i | ||||
\(597\) | 0.494228 | − | 2.56430i | 0.0202274 | − | 0.104950i | ||||
\(598\) | −9.54786 | + | 32.2097i | −0.390441 | + | 1.31715i | ||||
\(599\) | −20.8365 | − | 29.2608i | −0.851357 | − | 1.19556i | −0.979024 | − | 0.203746i | \(-0.934688\pi\) |
0.127667 | − | 0.991817i | \(-0.459251\pi\) | |||||||
\(600\) | 9.96369 | − | 4.45750i | 0.406766 | − | 0.181976i | ||||
\(601\) | 14.0039 | + | 7.21952i | 0.571232 | + | 0.294490i | 0.719540 | − | 0.694451i | \(-0.244353\pi\) |
−0.148309 | + | 0.988941i | \(0.547383\pi\) | |||||||
\(602\) | 2.09784 | + | 3.28287i | 0.0855016 | + | 0.133800i | ||||
\(603\) | −6.65917 | − | 4.75978i | −0.271182 | − | 0.193833i | ||||
\(604\) | −3.35084 | − | 1.55120i | −0.136344 | − | 0.0631173i | ||||
\(605\) | 13.5706 | − | 26.3233i | 0.551723 | − | 1.07019i | ||||
\(606\) | −7.19489 | + | 8.26024i | −0.292272 | + | 0.335549i | ||||
\(607\) | 26.8858 | − | 19.1453i | 1.09126 | − | 0.777084i | 0.114932 | − | 0.993373i | \(-0.463335\pi\) |
0.976329 | + | 0.216290i | \(0.0693956\pi\) | |||||||
\(608\) | 15.1005 | + | 34.2258i | 0.612406 | + | 1.38804i | ||||
\(609\) | 5.57078 | + | 1.07368i | 0.225740 | + | 0.0435077i | ||||
\(610\) | −41.8061 | + | 29.6079i | −1.69268 | + | 1.19879i | ||||
\(611\) | −4.29917 | − | 29.9014i | −0.173926 | − | 1.20968i | ||||
\(612\) | −0.956414 | − | 6.90444i | −0.0386607 | − | 0.279095i | ||||
\(613\) | 5.53311 | + | 22.8078i | 0.223480 | + | 0.921198i | 0.967466 | + | 0.253002i | \(0.0814180\pi\) |
−0.743986 | + | 0.668196i | \(0.767067\pi\) | |||||||
\(614\) | −6.18650 | + | 5.86845i | −0.249667 | + | 0.236831i | ||||
\(615\) | −9.27535 | − | 7.29421i | −0.374018 | − | 0.294131i | ||||
\(616\) | −3.44085 | + | 1.95126i | −0.138636 | + | 0.0786186i | ||||
\(617\) | 9.95325 | − | 21.7946i | 0.400703 | − | 0.877417i | −0.596496 | − | 0.802616i | \(-0.703441\pi\) |
0.997199 | − | 0.0748003i | \(-0.0238319\pi\) | |||||||
\(618\) | −16.4701 | − | 0.0424436i | −0.662523 | − | 0.00170733i | ||||
\(619\) | 4.01790 | + | 1.39061i | 0.161493 | + | 0.0558933i | 0.406618 | − | 0.913598i | \(-0.366708\pi\) |
−0.245125 | + | 0.969491i | \(0.578829\pi\) | |||||||
\(620\) | −4.03251 | + | 2.30054i | −0.161949 | + | 0.0923919i | ||||
\(621\) | −0.345344 | − | 3.61660i | −0.0138582 | − | 0.145129i | ||||
\(622\) | −20.4968 | + | 11.7635i | −0.821849 | + | 0.471675i | ||||
\(623\) | −1.29097 | + | 5.32144i | −0.0517216 | + | 0.213199i | ||||
\(624\) | 22.5146 | + | 13.3101i | 0.901304 | + | 0.532830i | ||||
\(625\) | 28.2117 | + | 8.28370i | 1.12847 | + | 0.331348i | ||||
\(626\) | 0.808478 | + | 0.157983i | 0.0323133 | + | 0.00631428i | ||||
\(627\) | −6.16401 | + | 2.81501i | −0.246167 | + | 0.112421i | ||||
\(628\) | −29.3335 | − | 19.0659i | −1.17054 | − | 0.760811i | ||||
\(629\) | 1.44942 | + | 0.138402i | 0.0577920 | + | 0.00551847i | ||||
\(630\) | −0.832236 | + | 5.68430i | −0.0331571 | + | 0.226468i | ||||
\(631\) | −34.3706 | + | 27.0293i | −1.36827 | + | 1.07602i | −0.379727 | + | 0.925099i | \(0.623982\pi\) |
−0.988546 | + | 0.150923i | \(0.951776\pi\) | |||||||
\(632\) | 4.66241 | − | 11.3901i | 0.185461 | − | 0.453075i | ||||
\(633\) | 3.28656 | − | 1.89750i | 0.130629 | − | 0.0754187i | ||||
\(634\) | −5.12942 | − | 26.9880i | −0.203715 | − | 1.07183i | ||||
\(635\) | 5.29825 | − | 5.05187i | 0.210255 | − | 0.200477i | ||||
\(636\) | −18.1235 | + | 0.769730i | −0.718643 | + | 0.0305218i | ||||
\(637\) | −15.3923 | − | 29.8569i | −0.609865 | − | 1.18297i | ||||
\(638\) | 5.85040 | + | 1.43526i | 0.231619 | + | 0.0568227i | ||||
\(639\) | 3.30109 | − | 8.24571i | 0.130589 | − | 0.326195i | ||||
\(640\) | 32.9456 | + | 6.96835i | 1.30229 | + | 0.275448i | ||||
\(641\) | −40.8348 | − | 23.5760i | −1.61288 | − | 0.931195i | −0.988699 | − | 0.149912i | \(-0.952101\pi\) |
−0.624177 | − | 0.781283i | \(-0.714566\pi\) | |||||||
\(642\) | −7.94409 | + | 22.7630i | −0.313528 | + | 0.898383i | ||||
\(643\) | −28.7527 | − | 24.9144i | −1.13390 | − | 0.982526i | −0.133932 | − | 0.990991i | \(-0.542760\pi\) |
−0.999964 | + | 0.00846406i | \(0.997306\pi\) | |||||||
\(644\) | −8.56257 | − | 5.00262i | −0.337413 | − | 0.197131i | ||||
\(645\) | 5.94670 | + | 0.855007i | 0.234151 | + | 0.0336659i | ||||
\(646\) | −27.3745 | − | 17.6924i | −1.07704 | − | 0.696098i | ||||
\(647\) | 3.33305 | + | 3.17806i | 0.131036 | + | 0.124942i | 0.752763 | − | 0.658291i | \(-0.228720\pi\) |
−0.621728 | + | 0.783234i | \(0.713569\pi\) | |||||||
\(648\) | −2.79644 | − | 0.424159i | −0.109855 | − | 0.0166625i | ||||
\(649\) | 11.2644 | − | 3.89864i | 0.442166 | − | 0.153035i | ||||
\(650\) | −11.5847 | − | 33.7531i | −0.454391 | − | 1.32390i | ||||
\(651\) | 0.0506463 | − | 1.06320i | 0.00198498 | − | 0.0416700i | ||||
\(652\) | 25.9943 | + | 9.14701i | 1.01802 | + | 0.358224i | ||||
\(653\) | 13.6793 | + | 9.74096i | 0.535311 | + | 0.381193i | 0.815505 | − | 0.578750i | \(-0.196459\pi\) |
−0.280194 | + | 0.959943i | \(0.590399\pi\) | |||||||
\(654\) | 3.34502 | + | 13.9451i | 0.130801 | + | 0.545298i | ||||
\(655\) | 10.3211 | + | 6.63296i | 0.403278 | + | 0.259171i | ||||
\(656\) | −4.31058 | − | 15.2607i | −0.168300 | − | 0.595829i | ||||
\(657\) | −9.32591 | + | 3.73353i | −0.363838 | + | 0.145659i | ||||
\(658\) | 8.87469 | + | 0.870514i | 0.345971 | + | 0.0339362i | ||||
\(659\) | 6.98367 | + | 36.2347i | 0.272045 | + | 1.41150i | 0.818736 | + | 0.574170i | \(0.194675\pi\) |
−0.546691 | + | 0.837334i | \(0.684113\pi\) | |||||||
\(660\) | −1.18527 | + | 5.98364i | −0.0461365 | + | 0.232913i | ||||
\(661\) | −18.4902 | − | 28.7713i | −0.719186 | − | 1.11908i | −0.987785 | − | 0.155823i | \(-0.950197\pi\) |
0.268599 | − | 0.963252i | \(-0.413439\pi\) | |||||||
\(662\) | −34.5387 | + | 29.7724i | −1.34238 | + | 1.15714i | ||||
\(663\) | −22.7626 | + | 1.08432i | −0.884026 | + | 0.0421114i | ||||
\(664\) | 1.92027 | − | 34.6697i | 0.0745208 | − | 1.34545i | ||||
\(665\) | 17.5921 | + | 20.3023i | 0.682192 | + | 0.787291i | ||||
\(666\) | 0.220997 | − | 0.547928i | 0.00856347 | − | 0.0212318i | ||||
\(667\) | 4.25474 | + | 14.4903i | 0.164744 | + | 0.561068i | ||||
\(668\) | −16.2652 | − | 20.9037i | −0.629320 | − | 0.808789i | ||||
\(669\) | − | 1.13498i | − | 0.0438808i | ||||||
\(670\) | −12.9445 | + | 31.9306i | −0.500090 | + | 1.23359i | ||||
\(671\) | − | 12.4709i | − | 0.481435i | ||||||
\(672\) | −5.39932 | + | 5.51849i | −0.208283 | + | 0.212881i | ||||
\(673\) | −9.76299 | − | 33.2497i | −0.376336 | − | 1.28168i | −0.902276 | − | 0.431160i | \(-0.858105\pi\) |
0.525940 | − | 0.850522i | \(-0.323714\pi\) | |||||||
\(674\) | 44.0695 | + | 17.7747i | 1.69749 | + | 0.684655i | ||||
\(675\) | 2.52721 | + | 2.91655i | 0.0972722 | + | 0.112258i | ||||
\(676\) | 34.7674 | − | 48.2953i | 1.33721 | − | 1.85751i | ||||
\(677\) | −20.6774 | + | 0.984986i | −0.794697 | + | 0.0378561i | −0.441004 | − | 0.897505i | \(-0.645377\pi\) |
−0.353693 | + | 0.935361i | \(0.615074\pi\) | |||||||
\(678\) | −1.19203 | − | 1.38286i | −0.0457798 | − | 0.0531086i | ||||
\(679\) | −11.6636 | − | 18.1489i | −0.447608 | − | 0.696492i | ||||
\(680\) | −27.3222 | + | 10.6938i | −1.04776 | + | 0.410090i | ||||
\(681\) | 4.62592 | + | 24.0015i | 0.177265 | + | 0.919741i | ||||
\(682\) | 0.110329 | − | 1.12478i | 0.00422471 | − | 0.0430699i | ||||
\(683\) | 20.7994 | − | 8.32684i | 0.795869 | − | 0.318618i | 0.0621462 | − | 0.998067i | \(-0.480205\pi\) |
0.733722 | + | 0.679449i | \(0.237781\pi\) | |||||||
\(684\) | −10.0401 | + | 8.60959i | −0.383893 | + | 0.329196i | ||||
\(685\) | −53.8349 | − | 34.5976i | −2.05692 | − | 1.32190i | ||||
\(686\) | 22.7804 | − | 5.46434i | 0.869759 | − | 0.208629i | ||||
\(687\) | 8.29699 | + | 5.90826i | 0.316550 | + | 0.225414i | ||||
\(688\) | 5.78561 | + | 5.63156i | 0.220574 | + | 0.214701i | ||||
\(689\) | −2.82185 | + | 59.2379i | −0.107504 | + | 2.25678i | ||||
\(690\) | −14.4644 | + | 4.96448i | −0.550651 | + | 0.188995i | ||||
\(691\) | 21.2105 | − | 7.34102i | 0.806885 | − | 0.279266i | 0.107679 | − | 0.994186i | \(-0.465658\pi\) |
0.699206 | + | 0.714920i | \(0.253537\pi\) | |||||||
\(692\) | −12.6553 | + | 14.4538i | −0.481081 | + | 0.549450i | ||||
\(693\) | −1.01216 | − | 0.965089i | −0.0384486 | − | 0.0366607i | ||||
\(694\) | 12.1072 | − | 18.7329i | 0.459583 | − | 0.711090i | ||||
\(695\) | 41.3653 | + | 5.94743i | 1.56908 | + | 0.225599i | ||||
\(696\) | 11.7480 | − | 0.468628i | 0.445307 | − | 0.0177633i | ||||
\(697\) | 10.4421 | + | 9.04809i | 0.395521 | + | 0.342721i | ||||
\(698\) | 13.6739 | + | 4.77208i | 0.517565 | + | 0.180626i | ||||
\(699\) | 16.2632 | + | 9.38956i | 0.615131 | + | 0.355146i | ||||
\(700\) | 10.4913 | − | 0.947261i | 0.396535 | − | 0.0358031i | ||||
\(701\) | −0.765965 | + | 1.91329i | −0.0289301 | + | 0.0722639i | −0.942130 | − | 0.335249i | \(-0.891180\pi\) |
0.913199 | + | 0.407513i | \(0.133604\pi\) | |||||||
\(702\) | −2.20323 | + | 8.98075i | −0.0831554 | + | 0.338956i | ||||
\(703\) | −1.26596 | − | 2.45561i | −0.0477465 | − | 0.0926152i | ||||
\(704\) | −6.01964 | + | 5.56459i | −0.226874 | + | 0.209723i | ||||
\(705\) | 9.95224 | − | 9.48944i | 0.374823 | − | 0.357393i | ||||
\(706\) | −0.349453 | + | 0.0664180i | −0.0131518 | + | 0.00249967i | ||||
\(707\) | −9.15534 | + | 5.28584i | −0.344322 | + | 0.198794i | ||||
\(708\) | 19.0207 | − | 13.3973i | 0.714840 | − | 0.503503i | ||||
\(709\) | −12.9216 | + | 10.1616i | −0.485280 | + | 0.381628i | −0.830611 | − | 0.556853i | \(-0.812009\pi\) |
0.345332 | + | 0.938481i | \(0.387766\pi\) | |||||||
\(710\) | −36.9925 | − | 5.41605i | −1.38830 | − | 0.203261i | ||||
\(711\) | 4.33163 | + | 0.413621i | 0.162449 | + | 0.0155120i | ||||
\(712\) | −0.0877310 | + | 11.3477i | −0.00328786 | + | 0.425273i | ||||
\(713\) | 2.57734 | − | 1.17703i | 0.0965221 | − | 0.0440802i | ||||
\(714\) | 1.29008 | − | 6.60199i | 0.0482802 | − | 0.247073i | ||||
\(715\) | 19.1348 | + | 5.61847i | 0.715600 | + | 0.210119i | ||||
\(716\) | −22.9650 | − | 2.31240i | −0.858244 | − | 0.0864183i | ||||
\(717\) | 2.60371 | − | 10.7326i | 0.0972372 | − | 0.400817i | ||||
\(718\) | −13.6372 | − | 23.7616i | −0.508937 | − | 0.886774i | ||||
\(719\) | −2.62858 | − | 27.5277i | −0.0980294 | − | 1.02661i | −0.901940 | − | 0.431861i | \(-0.857857\pi\) |
0.803911 | − | 0.594750i | \(-0.202749\pi\) | |||||||
\(720\) | 1.00948 | + | 11.8629i | 0.0376213 | + | 0.442103i | ||||
\(721\) | −15.0205 | − | 5.19866i | −0.559394 | − | 0.193608i | ||||
\(722\) | −0.0901347 | + | 34.9764i | −0.00335447 | + | 1.30169i | ||||
\(723\) | 2.53092 | − | 5.54194i | 0.0941260 | − | 0.206107i | ||||
\(724\) | −1.66621 | + | 31.5553i | −0.0619243 | + | 1.17275i | ||||
\(725\) | −12.6098 | − | 9.91646i | −0.468316 | − | 0.368288i | ||||
\(726\) | 9.68411 | + | 10.2089i | 0.359411 | + | 0.378890i | ||||
\(727\) | 0.984514 | + | 4.05822i | 0.0365136 | + | 0.150511i | 0.987150 | − | 0.159795i | \(-0.0510835\pi\) |
−0.950637 | + | 0.310307i | \(0.899568\pi\) | |||||||
\(728\) | 16.3813 | + | 19.2030i | 0.607132 | + | 0.711712i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 24.4386 | + | 34.5071i | 0.904514 | + | 1.27717i | ||||
\(731\) | −6.90763 | − | 1.33134i | −0.255488 | − | 0.0492413i | ||||
\(732\) | −6.73709 | − | 23.3897i | −0.249010 | − | 0.864508i | ||||
\(733\) | 27.9005 | − | 19.8679i | 1.03053 | − | 0.733836i | 0.0660011 | − | 0.997820i | \(-0.478976\pi\) |
0.964527 | + | 0.263984i | \(0.0850365\pi\) | |||||||
\(734\) | 4.63596 | + | 4.03804i | 0.171116 | + | 0.149047i | ||||
\(735\) | 7.00666 | − | 13.5910i | 0.258445 | − | 0.501312i | ||||
\(736\) | −19.6429 | − | 6.04367i | −0.724048 | − | 0.222772i | ||||
\(737\) | −4.52213 | − | 7.06406i | −0.166575 | − | 0.260208i | ||||
\(738\) | 4.72434 | − | 3.01898i | 0.173905 | − | 0.111130i | ||||
\(739\) | 26.9601 | + | 13.8989i | 0.991742 | + | 0.511279i | 0.876161 | − | 0.482019i | \(-0.160097\pi\) |
0.115581 | + | 0.993298i | \(0.463127\pi\) | |||||||
\(740\) | −2.45976 | − | 0.366610i | −0.0904227 | − | 0.0134769i | ||||
\(741\) | 25.0818 | + | 35.2225i | 0.921405 | + | 1.29393i | ||||
\(742\) | −16.7842 | − | 4.97531i | −0.616168 | − | 0.182649i | ||||
\(743\) | 3.19840 | − | 16.5949i | 0.117338 | − | 0.608807i | −0.874885 | − | 0.484331i | \(-0.839063\pi\) |
0.992223 | − | 0.124476i | \(-0.0397249\pi\) | |||||||
\(744\) | −0.400705 | − | 2.16916i | −0.0146906 | − | 0.0795254i | ||||
\(745\) | −1.66378 | + | 0.239216i | −0.0609562 | + | 0.00876419i | ||||
\(746\) | −10.9398 | + | 23.7923i | −0.400533 | + | 0.871097i | ||||
\(747\) | 11.9303 | − | 2.89427i | 0.436508 | − | 0.105896i | ||||
\(748\) | 1.71967 | − | 6.93243i | 0.0628773 | − | 0.253475i | ||||
\(749\) | −14.3828 | + | 18.2892i | −0.525535 | + | 0.668273i | ||||
\(750\) | −2.79561 | + | 3.90456i | −0.102081 | + | 0.142574i | ||||
\(751\) | 0.651512 | + | 0.297535i | 0.0237740 | + | 0.0108572i | 0.427267 | − | 0.904126i | \(-0.359477\pi\) |
−0.403493 | + | 0.914983i | \(0.632204\pi\) | |||||||
\(752\) | 18.3182 | − | 2.44131i | 0.667996 | − | 0.0890254i | ||||
\(753\) | −2.05264 | + | 5.93072i | −0.0748024 | + | 0.216127i | ||||
\(754\) | 1.92792 | − | 38.3903i | 0.0702108 | − | 1.39809i | ||||
\(755\) | −5.47031 | + | 0.522351i | −0.199085 | + | 0.0190103i | ||||
\(756\) | −2.41970 | − | 1.26327i | −0.0880037 | − | 0.0459447i | ||||
\(757\) | −36.8426 | − | 8.93791i | −1.33907 | − | 0.324854i | −0.498654 | − | 0.866801i | \(-0.666172\pi\) |
−0.840412 | + | 0.541947i | \(0.817687\pi\) | |||||||
\(758\) | −13.9511 | + | 17.6464i | −0.506725 | + | 0.640948i | ||||
\(759\) | 1.04883 | − | 3.57199i | 0.0380702 | − | 0.129655i | ||||
\(760\) | 45.0985 | + | 32.6429i | 1.63590 | + | 1.18408i | ||||
\(761\) | −5.94212 | − | 13.0114i | −0.215402 | − | 0.471664i | 0.770829 | − | 0.637043i | \(-0.219842\pi\) |
−0.986230 | + | 0.165379i | \(0.947115\pi\) | |||||||
\(762\) | 1.43680 | + | 3.16772i | 0.0520497 | + | 0.114755i | ||||
\(763\) | −1.31555 | + | 13.7771i | −0.0476261 | + | 0.498763i | ||||
\(764\) | 19.5965 | + | 43.5023i | 0.708977 | + | 1.57386i | ||||
\(765\) | −6.41242 | − | 8.15406i | −0.231842 | − | 0.294810i | ||||
\(766\) | −36.5985 | + | 1.64888i | −1.32236 | + | 0.0595766i | ||||
\(767\) | −38.0309 | − | 65.8715i | −1.37322 | − | 2.37848i | ||||
\(768\) | −8.28394 | + | 13.6885i | −0.298921 | + | 0.493943i | ||||
\(769\) | −36.6620 | − | 38.4500i | −1.32206 | − | 1.38654i | −0.868799 | − | 0.495166i | \(-0.835107\pi\) |
−0.453266 | − | 0.891375i | \(-0.649741\pi\) | |||||||
\(770\) | −2.95653 | + | 5.09052i | −0.106546 | + | 0.183450i | ||||
\(771\) | 13.9819 | − | 7.20815i | 0.503544 | − | 0.259595i | ||||
\(772\) | −9.98603 | − | 29.3411i | −0.359405 | − | 1.05601i | ||||
\(773\) | 27.6465 | + | 11.0680i | 0.994377 | + | 0.398089i | 0.811058 | − | 0.584965i | \(-0.198892\pi\) |
0.183319 | + | 0.983054i | \(0.441316\pi\) | |||||||
\(774\) | −1.31457 | + | 2.53385i | −0.0472511 | + | 0.0910774i | ||||
\(775\) | −1.50486 | + | 2.60649i | −0.0540561 | + | 0.0936280i | ||||
\(776\) | −32.1181 | − | 31.1022i | −1.15297 | − | 1.11650i | ||||
\(777\) | 0.373387 | − | 0.430911i | 0.0133952 | − | 0.0154589i | ||||
\(778\) | −11.7395 | − | 22.9163i | −0.420882 | − | 0.821588i | ||||
\(779\) | 3.73107 | − | 25.9501i | 0.133679 | − | 0.929760i | ||||
\(780\) | 38.9232 | + | 0.200613i | 1.39367 | + | 0.00718308i | ||||
\(781\) | 6.28064 | − | 6.58694i | 0.224739 | − | 0.235699i | ||||
\(782\) | 17.1942 | − | 5.00057i | 0.614863 | − | 0.178820i | ||||
\(783\) | 1.35957 | + | 3.92823i | 0.0485872 | + | 0.140383i | ||||
\(784\) | 18.3609 | − | 9.22741i | 0.655748 | − | 0.329550i | ||||
\(785\) | −52.0066 | − | 2.47738i | −1.85619 | − | 0.0884214i | ||||
\(786\) | −4.59142 | + | 3.59162i | −0.163771 | + | 0.128109i | ||||
\(787\) | −14.0561 | + | 19.7390i | −0.501046 | + | 0.703621i | −0.985209 | − | 0.171357i | \(-0.945185\pi\) |
0.484163 | + | 0.874978i | \(0.339124\pi\) | |||||||
\(788\) | −9.12779 | + | 9.47469i | −0.325164 | + | 0.337522i | ||||
\(789\) | 0.805172 | − | 1.25287i | 0.0286649 | − | 0.0446034i | ||||
\(790\) | −2.55993 | − | 18.1364i | −0.0910781 | − | 0.645263i | ||||
\(791\) | −0.654847 | − | 1.63573i | −0.0232837 | − | 0.0581598i | ||||
\(792\) | −2.49871 | − | 1.46851i | −0.0887879 | − | 0.0521811i | ||||
\(793\) | −78.1394 | + | 15.0601i | −2.77481 | + | 0.534801i | ||||
\(794\) | 2.58780 | − | 2.70004i | 0.0918374 | − | 0.0958207i | ||||
\(795\) | −22.7105 | + | 14.5951i | −0.805457 | + | 0.517636i | ||||
\(796\) | 1.49729 | − | 5.00376i | 0.0530701 | − | 0.177354i | ||||
\(797\) | 0.192642 | + | 4.04406i | 0.00682374 | + | 0.143248i | 0.999708 | + | 0.0241645i | \(0.00769256\pi\) |
−0.992884 | + | 0.119083i | \(0.962004\pi\) | |||||||
\(798\) | −11.8619 | + | 4.71335i | −0.419906 | + | 0.166851i | ||||
\(799\) | −12.1688 | + | 10.5444i | −0.430503 | + | 0.373033i | ||||
\(800\) | 20.7203 | − | 6.87370i | 0.732572 | − | 0.243022i | ||||
\(801\) | −3.84962 | + | 1.13035i | −0.136020 | + | 0.0399389i | ||||
\(802\) | −32.7516 | + | 3.04225i | −1.15650 | + | 0.107425i | ||||
\(803\) | −10.2936 | −0.363254 | ||||||||
\(804\) | −12.2976 | − | 10.8060i | −0.433703 | − | 0.381097i | ||||
\(805\) | −14.7584 | −0.520166 | ||||||||
\(806\) | −7.18078 | + | 0.667013i | −0.252932 | + | 0.0234945i | ||||
\(807\) | 7.53562 | − | 2.21266i | 0.265266 | − | 0.0778892i | ||||
\(808\) | −15.9725 | + | 14.9957i | −0.561910 | + | 0.527547i | ||||
\(809\) | 10.4014 | − | 9.01283i | 0.365692 | − | 0.316874i | −0.452559 | − | 0.891734i | \(-0.649489\pi\) |
0.818252 | + | 0.574860i | \(0.194943\pi\) | |||||||
\(810\) | −3.91181 | + | 1.55437i | −0.137447 | + | 0.0546149i | ||||
\(811\) | −1.86967 | − | 39.2492i | −0.0656530 | − | 1.37823i | −0.755916 | − | 0.654668i | \(-0.772808\pi\) |
0.690263 | − | 0.723558i | \(-0.257495\pi\) | |||||||
\(812\) | 10.8704 | + | 3.25278i | 0.381475 | + | 0.114150i | ||||
\(813\) | −17.3012 | + | 11.1188i | −0.606780 | + | 0.389954i | ||||
\(814\) | 0.418909 | − | 0.437078i | 0.0146827 | − | 0.0153196i | ||||
\(815\) | 40.2692 | − | 7.76125i | 1.41057 | − | 0.271865i | ||||
\(816\) | −0.519755 | − | 13.9310i | −0.0181951 | − | 0.487684i | ||||
\(817\) | 4.96104 | + | 12.3921i | 0.173565 | + | 0.433544i | ||||
\(818\) | 5.29560 | + | 37.5178i | 0.185156 | + | 1.31178i | ||||
\(819\) | −4.82469 | + | 7.50736i | −0.168588 | + | 0.262328i | ||||
\(820\) | −16.9958 | − | 16.3735i | −0.593520 | − | 0.571789i | ||||
\(821\) | 24.9810 | − | 35.0809i | 0.871843 | − | 1.22433i | −0.101467 | − | 0.994839i | \(-0.532354\pi\) |
0.973310 | − | 0.229493i | \(-0.0737069\pi\) | |||||||
\(822\) | 23.9489 | − | 18.7339i | 0.835313 | − | 0.653421i | ||||
\(823\) | 44.2310 | + | 2.10698i | 1.54180 | + | 0.0734448i | 0.801155 | − | 0.598456i | \(-0.204219\pi\) |
0.740641 | + | 0.671901i | \(0.234522\pi\) | |||||||
\(824\) | −32.7659 | − | 3.38458i | −1.14145 | − | 0.117907i | ||||
\(825\) | 1.29338 | + | 3.73698i | 0.0450298 | + | 0.130105i | ||||
\(826\) | 21.5593 | − | 6.27007i | 0.750143 | − | 0.218164i | ||||
\(827\) | 1.03801 | − | 1.08863i | 0.0360951 | − | 0.0378554i | −0.705439 | − | 0.708771i | \(-0.749250\pi\) |
0.741534 | + | 0.670915i | \(0.234099\pi\) | |||||||
\(828\) | 0.0374495 | − | 7.26601i | 0.00130146 | − | 0.252511i | ||||
\(829\) | 2.72674 | − | 18.9649i | 0.0947034 | − | 0.658677i | −0.886074 | − | 0.463545i | \(-0.846577\pi\) |
0.980777 | − | 0.195132i | \(-0.0625136\pi\) | |||||||
\(830\) | −23.5605 | − | 45.9915i | −0.817795 | − | 1.59639i | ||||
\(831\) | −5.06186 | + | 5.84169i | −0.175594 | + | 0.202646i | ||||
\(832\) | 42.1356 | + | 30.9975i | 1.46079 | + | 1.07465i | ||||
\(833\) | −8.95221 | + | 15.5057i | −0.310176 | + | 0.537240i | ||||
\(834\) | −9.14414 | + | 17.6255i | −0.316636 | + | 0.610321i | ||||
\(835\) | −36.5937 | − | 14.6499i | −1.26638 | − | 0.506982i | ||||
\(836\) | −12.8300 | + | 4.36660i | −0.443736 | + | 0.151022i | ||||
\(837\) | 0.693195 | − | 0.357367i | 0.0239603 | − | 0.0123524i | ||||
\(838\) | −15.9949 | + | 27.5398i | −0.552535 | + | 0.951348i | ||||
\(839\) | 5.20528 | + | 5.45914i | 0.179706 | + | 0.188470i | 0.807426 | − | 0.589969i | \(-0.200860\pi\) |
−0.627720 | + | 0.778439i | \(0.716012\pi\) | |||||||
\(840\) | −2.79507 | + | 11.1447i | −0.0964390 | + | 0.384527i | ||||
\(841\) | 5.86029 | + | 10.1503i | 0.202079 | + | 0.350011i | ||||
\(842\) | −22.3050 | + | 1.00492i | −0.768682 | + | 0.0346317i | ||||
\(843\) | 2.70027 | + | 3.43368i | 0.0930023 | + | 0.118262i | ||||
\(844\) | 6.92025 | − | 3.11737i | 0.238205 | − | 0.107304i | ||||
\(845\) | 8.41824 | − | 88.1598i | 0.289596 | − | 3.03279i | ||||
\(846\) | 2.69888 | + | 5.95026i | 0.0927895 | + | 0.204574i | ||||
\(847\) | 5.64127 | + | 12.3526i | 0.193836 | + | 0.424442i | ||||
\(848\) | −36.2188 | − | 2.09971i | −1.24376 | − | 0.0721042i | ||||
\(849\) | 3.19640 | − | 10.8859i | 0.109700 | − | 0.373604i | ||||
\(850\) | −11.7965 | + | 14.9211i | −0.404616 | + | 0.511791i | ||||
\(851\) | 1.47500 | + | 0.357831i | 0.0505624 | + | 0.0122663i | ||||
\(852\) | 8.22116 | − | 15.7470i | 0.281652 | − | 0.539484i | ||||
\(853\) | 14.4633 | − | 1.38108i | 0.495216 | − | 0.0472874i | 0.155539 | − | 0.987830i | \(-0.450288\pi\) |
0.339676 | + | 0.940542i | \(0.389682\pi\) | |||||||
\(854\) | 1.17818 | − | 23.4607i | 0.0403163 | − | 0.802810i | ||||
\(855\) | −6.43776 | + | 18.6007i | −0.220167 | + | 0.636130i | ||||
\(856\) | −20.3693 | + | 43.7051i | −0.696208 | + | 1.49381i | ||||
\(857\) | −21.6168 | − | 9.87207i | −0.738417 | − | 0.337224i | 0.0104490 | − | 0.999945i | \(-0.496674\pi\) |
−0.748866 | + | 0.662722i | \(0.769401\pi\) | |||||||
\(858\) | −5.51618 | + | 7.70429i | −0.188319 | + | 0.263020i | ||||
\(859\) | −22.9856 | + | 29.2286i | −0.784259 | + | 0.997266i | 0.215525 | + | 0.976498i | \(0.430854\pi\) |
−0.999784 | + | 0.0207681i | \(0.993389\pi\) | |||||||
\(860\) | 11.6622 | + | 2.89296i | 0.397679 | + | 0.0986490i | ||||
\(861\) | 5.25819 | − | 1.27562i | 0.179199 | − | 0.0434731i | ||||
\(862\) | −8.03556 | + | 17.4761i | −0.273692 | + | 0.595238i | ||||
\(863\) | −26.9724 | + | 3.87805i | −0.918151 | + | 0.132010i | −0.585158 | − | 0.810919i | \(-0.698968\pi\) |
−0.332993 | + | 0.942929i | \(0.608059\pi\) | |||||||
\(864\) | −5.47976 | − | 1.40438i | −0.186425 | − | 0.0477778i | ||||
\(865\) | −5.41075 | + | 28.0736i | −0.183971 | + | 0.954532i | ||||
\(866\) | −51.4846 | − | 15.2615i | −1.74952 | − | 0.518606i | ||||
\(867\) | −2.81530 | − | 3.95354i | −0.0956127 | − | 0.134269i | ||||
\(868\) | 0.313817 | − | 2.10555i | 0.0106516 | − | 0.0714669i | ||||
\(869\) | 3.96315 | + | 2.04315i | 0.134441 | + | 0.0693090i | ||||
\(870\) | 14.7441 | − | 9.42189i | 0.499873 | − | 0.319432i | ||||
\(871\) | −38.8005 | + | 36.8652i | −1.31470 | + | 1.24913i | ||||
\(872\) | 3.86219 | + | 28.4202i | 0.130790 | + | 0.962429i | ||||
\(873\) | 7.24324 | − | 14.0499i | 0.245147 | − | 0.475518i | ||||
\(874\) | −25.6208 | − | 22.3164i | −0.866637 | − | 0.754864i | ||||
\(875\) | −3.77509 | + | 2.68823i | −0.127621 | + | 0.0908788i | ||||
\(876\) | −19.3061 | + | 5.56085i | −0.652292 | + | 0.187884i | ||||
\(877\) | 8.41443 | + | 1.62175i | 0.284135 | + | 0.0547625i | 0.329327 | − | 0.944216i | \(-0.393178\pi\) |
−0.0451925 | + | 0.998978i | \(0.514390\pi\) | |||||||
\(878\) | 29.5289 | + | 41.6945i | 0.996552 | + | 1.40712i | ||||
\(879\) | −1.29766 | − | 9.02545i | −0.0437691 | − | 0.304421i | ||||
\(880\) | −3.55756 | + | 11.6696i | −0.119925 | + | 0.393381i | ||||
\(881\) | 9.52286 | + | 39.2538i | 0.320833 | + | 1.32249i | 0.872576 | + | 0.488479i | \(0.162448\pi\) |
−0.551742 | + | 0.834015i | \(0.686037\pi\) | |||||||
\(882\) | 5.00002 | + | 5.27100i | 0.168359 | + | 0.177484i | ||||
\(883\) | 42.4750 | + | 33.4027i | 1.42940 | + | 1.12409i | 0.972042 | + | 0.234808i | \(0.0754462\pi\) |
0.457357 | + | 0.889283i | \(0.348796\pi\) | |||||||
\(884\) | −45.5134 | − | 2.40324i | −1.53078 | − | 0.0808297i | ||||
\(885\) | 14.3832 | − | 31.4949i | 0.483487 | − | 1.05869i | ||||
\(886\) | −0.0344226 | + | 13.3576i | −0.00115645 | + | 0.448757i | ||||
\(887\) | 2.78021 | + | 0.962242i | 0.0933505 | + | 0.0323089i | 0.373344 | − | 0.927693i | \(-0.378211\pi\) |
−0.279994 | + | 0.960002i | \(0.590332\pi\) | |||||||
\(888\) | 0.549560 | − | 1.04606i | 0.0184420 | − | 0.0351035i | ||||
\(889\) | 0.319087 | + | 3.34163i | 0.0107018 | + | 0.112075i | ||||
\(890\) | 8.40645 | + | 14.6474i | 0.281785 | + | 0.490983i | ||||
\(891\) | 0.241582 | − | 0.995815i | 0.00809331 | − | 0.0333611i | ||||
\(892\) | 0.227417 | − | 2.25854i | 0.00761448 | − | 0.0756214i | ||||
\(893\) | 29.3149 | + | 8.60762i | 0.980985 | + | 0.288043i | ||||
\(894\) | 0.153167 | − | 0.783829i | 0.00512266 | − | 0.0262152i | ||||
\(895\) | −31.2457 | + | 14.2694i | −1.04443 | + | 0.476974i | ||||
\(896\) | −11.8501 | + | 9.89959i | −0.395883 | + | 0.330722i | ||||
\(897\) | −23.6477 | − | 2.25808i | −0.789575 | − | 0.0753952i | ||||
\(898\) | 44.2145 | + | 6.47342i | 1.47546 | + | 0.216021i | ||||
\(899\) | −2.54830 | + | 2.00400i | −0.0849905 | + | 0.0668373i | ||||
\(900\) | 4.44459 | + | 6.31013i | 0.148153 | + | 0.210338i | ||||
\(901\) | 27.3753 | − | 15.8052i | 0.912005 | − | 0.526546i | ||||
\(902\) | 5.64402 | − | 1.07272i | 0.187925 | − | 0.0357176i | ||||
\(903\) | −1.99377 | + | 1.90105i | −0.0663484 | + | 0.0632630i | ||||
\(904\) | −2.09499 | − | 2.99066i | −0.0696782 | − | 0.0994680i | ||||
\(905\) | 21.5488 | + | 41.7989i | 0.716308 | + | 1.38944i | ||||
\(906\) | 0.622096 | − | 2.53578i | 0.0206678 | − | 0.0842455i | ||||
\(907\) | 1.53429 | − | 3.83247i | 0.0509453 | − | 0.127255i | −0.900712 | − | 0.434416i | \(-0.856955\pi\) |
0.951658 | + | 0.307161i | \(0.0993790\pi\) | |||||||
\(908\) | 4.39608 | + | 48.6884i | 0.145889 | + | 1.61578i | ||||
\(909\) | −6.70815 | − | 3.87295i | −0.222495 | − | 0.128458i | ||||
\(910\) | 35.4662 | + | 12.3774i | 1.17569 | + | 0.410307i | ||||
\(911\) | 10.4709 | + | 9.07307i | 0.346916 | + | 0.300604i | 0.810837 | − | 0.585272i | \(-0.199012\pi\) |
−0.463921 | + | 0.885877i | \(0.653558\pi\) | |||||||
\(912\) | −21.7043 | + | 15.1208i | −0.718700 | + | 0.500700i | ||||
\(913\) | 12.4516 | + | 1.79026i | 0.412087 | + | 0.0592491i | ||||
\(914\) | 13.4388 | − | 20.7932i | 0.444516 | − | 0.687777i | ||||
\(915\) | −26.2166 | − | 24.9975i | −0.866695 | − | 0.826392i | ||||
\(916\) | 15.3267 | + | 13.4195i | 0.506407 | + | 0.443394i | ||||
\(917\) | −5.31626 | + | 1.83998i | −0.175559 | + | 0.0607614i | ||||
\(918\) | 4.66185 | − | 1.60004i | 0.153864 | − | 0.0528093i | ||||
\(919\) | −1.86440 | + | 39.1386i | −0.0615009 | + | 1.29106i | 0.731499 | + | 0.681842i | \(0.238821\pi\) |
−0.793000 | + | 0.609221i | \(0.791482\pi\) | |||||||
\(920\) | −29.7780 | + | 6.98076i | −0.981752 | + | 0.230149i | ||||
\(921\) | −4.91154 | − | 3.49749i | −0.161841 | − | 0.115246i | ||||
\(922\) | 47.8135 | − | 11.4690i | 1.57465 | − | 0.377713i | ||||
\(923\) | −48.8566 | − | 31.3982i | −1.60814 | − | 1.03349i | ||||
\(924\) | −1.82075 | − | 2.12327i | −0.0598983 | − | 0.0698506i | ||||
\(925\) | −1.49675 | + | 0.599210i | −0.0492129 | + | 0.0197019i | ||||
\(926\) | 3.36120 | − | 34.2667i | 0.110456 | − | 1.12607i | ||||
\(927\) | −2.20404 | − | 11.4357i | −0.0723903 | − | 0.375597i | ||||
\(928\) | 23.4717 | + | 1.42142i | 0.770496 | + | 0.0466603i | ||||
\(929\) | 20.8907 | + | 32.5066i | 0.685403 | + | 1.06651i | 0.993353 | + | 0.115106i | \(0.0367207\pi\) |
−0.307950 | + | 0.951403i | \(0.599643\pi\) | |||||||
\(930\) | −2.14338 | − | 2.48651i | −0.0702842 | − | 0.0815359i | ||||
\(931\) | 33.9346 | − | 1.61651i | 1.11216 | − | 0.0529788i | ||||
\(932\) | 30.4813 | + | 21.9433i | 0.998450 | + | 0.718777i | ||||
\(933\) | −10.9432 | − | 12.6292i | −0.358266 | − | 0.413461i | ||||
\(934\) | −36.1718 | − | 14.5893i | −1.18358 | − | 0.477376i | ||||
\(935\) | −2.99472 | − | 10.1991i | −0.0979377 | − | 0.333545i | ||||
\(936\) | −6.18376 | + | 17.4297i | −0.202123 | + | 0.569706i | ||||
\(937\) | − | 21.0198i | − | 0.686687i | −0.939210 | − | 0.343344i | \(-0.888440\pi\) | ||
0.939210 | − | 0.343344i | \(-0.111560\pi\) | |||||||
\(938\) | −7.83983 | − | 13.7164i | −0.255979 | − | 0.447856i | ||||
\(939\) | 0.582493i | 0.0190089i | ||||||||
\(940\) | 21.7057 | − | 16.8893i | 0.707963 | − | 0.550867i | ||||
\(941\) | −14.2703 | − | 48.6001i | −0.465197 | − | 1.58432i | −0.773997 | − | 0.633189i | \(-0.781745\pi\) |
0.308799 | − | 0.951127i | \(-0.400073\pi\) | |||||||
\(942\) | 9.25344 | − | 22.9424i | 0.301493 | − | 0.747505i | ||||
\(943\) | 9.43198 | + | 10.8851i | 0.307148 | + | 0.354467i | ||||
\(944\) | 40.5343 | − | 22.8487i | 1.31928 | − | 0.743661i | ||||
\(945\) | −4.05766 | + | 0.193290i | −0.131996 | + | 0.00628773i | ||||
\(946\) | −2.21554 | + | 1.90981i | −0.0720335 | + | 0.0620931i | ||||
\(947\) | 10.9655 | + | 17.0627i | 0.356332 | + | 0.554463i | 0.972427 | − | 0.233209i | \(-0.0749226\pi\) |
−0.616095 | + | 0.787672i | \(0.711286\pi\) | |||||||
\(948\) | 8.53680 | + | 1.69101i | 0.277262 | + | 0.0549215i | ||||
\(949\) | 12.4308 | + | 64.4970i | 0.403520 | + | 2.09366i | ||||
\(950\) | 35.9193 | + | 3.52331i | 1.16538 | + | 0.114311i | ||||
\(951\) | 18.0336 | − | 7.21956i | 0.584779 | − | 0.234110i | ||||
\(952\) | 3.89003 | − | 12.8791i | 0.126077 | − | 0.417413i | ||||
\(953\) | −8.66425 | − | 5.56818i | −0.280663 | − | 0.180371i | 0.392734 | − | 0.919652i | \(-0.371529\pi\) |
−0.673397 | + | 0.739281i | \(0.735166\pi\) | |||||||
\(954\) | −2.99190 | − | 12.4730i | −0.0968663 | − | 0.403828i | ||||
\(955\) | 57.8401 | + | 41.1878i | 1.87166 | + | 1.33281i | ||||
\(956\) | 7.33172 | − | 20.8355i | 0.237125 | − | 0.673870i | ||||
\(957\) | −0.202676 | + | 4.25470i | −0.00655160 | + | 0.137535i | ||||
\(958\) | −12.8889 | − | 37.5528i | −0.416420 | − | 1.21327i | ||||
\(959\) | 27.7297 | − | 9.59733i | 0.895437 | − | 0.309914i | ||||
\(960\) | −0.368159 | + | 23.8086i | −0.0118823 | + | 0.768420i | ||||
\(961\) | −21.9956 | − | 20.9727i | −0.709534 | − | 0.676539i | ||||
\(962\) | −3.24450 | − | 2.09695i | −0.104607 | − | 0.0676082i | ||||
\(963\) | −16.8744 | − | 2.42617i | −0.543769 | − | 0.0781822i | ||||
\(964\) | 6.14682 | − | 10.5210i | 0.197976 | − | 0.338859i | ||||
\(965\) | −34.8594 | − | 30.2059i | −1.12217 | − | 0.972362i | ||||
\(966\) | 2.31056 | − | 6.62067i | 0.0743410 | − | 0.213017i | ||||
\(967\) | −17.7352 | − | 10.2394i | −0.570324 | − | 0.329277i | 0.186955 | − | 0.982369i | \(-0.440138\pi\) |
−0.757279 | + | 0.653092i | \(0.773472\pi\) | |||||||
\(968\) | 17.2252 | + | 22.2556i | 0.553639 | + | 0.715322i | ||||
\(969\) | 8.56594 | − | 21.3967i | 0.275178 | − | 0.687360i | ||||
\(970\) | −64.6209 | − | 15.8533i | −2.07485 | − | 0.509018i | ||||
\(971\) | 21.4851 | + | 41.6752i | 0.689488 | + | 1.33742i | 0.930282 | + | 0.366845i | \(0.119562\pi\) |
−0.240794 | + | 0.970576i | \(0.577408\pi\) | |||||||
\(972\) | −0.0848663 | − | 1.99820i | −0.00272209 | − | 0.0640923i | ||||
\(973\) | −13.8686 | + | 13.2237i | −0.444609 | + | 0.423933i | ||||
\(974\) | 5.38045 | + | 28.3088i | 0.172401 | + | 0.907073i | ||||
\(975\) | 21.8530 | − | 12.6168i | 0.699856 | − | 0.404062i | ||||
\(976\) | −8.71977 | − | 47.8940i | −0.279113 | − | 1.53305i | ||||
\(977\) | 14.6925 | − | 11.5543i | 0.470053 | − | 0.369654i | −0.354854 | − | 0.934922i | \(-0.615470\pi\) |
0.824908 | + | 0.565268i | \(0.191227\pi\) | |||||||
\(978\) | −2.82277 | + | 19.2800i | −0.0902623 | + | 0.616506i | ||||
\(979\) | −4.09262 | − | 0.390798i | −0.130801 | − | 0.0124900i | ||||
\(980\) | 16.6661 | − | 25.6414i | 0.532378 | − | 0.819083i | ||||
\(981\) | −9.22404 | + | 4.21248i | −0.294501 | + | 0.134494i | ||||
\(982\) | 38.3890 | + | 7.50154i | 1.22504 | + | 0.239384i | ||||
\(983\) | −48.3464 | − | 14.1958i | −1.54201 | − | 0.452775i | −0.603309 | − | 0.797508i | \(-0.706151\pi\) |
−0.938701 | + | 0.344733i | \(0.887969\pi\) | |||||||
\(984\) | 10.0061 | − | 5.06095i | 0.318982 | − | 0.161337i | ||||
\(985\) | −4.61600 | + | 19.0274i | −0.147078 | + | 0.606264i | ||||
\(986\) | −17.7697 | + | 10.1984i | −0.565903 | + | 0.324782i | ||||
\(987\) | 0.599373 | + | 6.27692i | 0.0190783 | + | 0.199796i | ||||
\(988\) | 42.8537 | + | 75.1163i | 1.36336 | + | 2.38977i | ||||
\(989\) | −6.92991 | − | 2.39846i | −0.220358 | − | 0.0762667i | ||||
\(990\) | −4.31327 | − | 0.0111153i | −0.137085 | − | 0.000353269i | ||||
\(991\) | −4.57365 | + | 10.0149i | −0.145287 | + | 0.318134i | −0.968259 | − | 0.249947i | \(-0.919587\pi\) |
0.822973 | + | 0.568081i | \(0.192314\pi\) | |||||||
\(992\) | −0.362740 | − | 4.39679i | −0.0115170 | − | 0.139598i | ||||
\(993\) | −25.3453 | − | 19.9318i | −0.804309 | − | 0.632515i | ||||
\(994\) | 12.4376 | − | 11.7982i | 0.394498 | − | 0.374217i | ||||
\(995\) | −1.83254 | − | 7.55382i | −0.0580953 | − | 0.239472i | ||||
\(996\) | 24.3205 | − | 3.36892i | 0.770626 | − | 0.106748i | ||||
\(997\) | 3.74835 | + | 26.0703i | 0.118711 | + | 0.825656i | 0.958978 | + | 0.283482i | \(0.0914896\pi\) |
−0.840266 | + | 0.542174i | \(0.817601\pi\) | |||||||
\(998\) | 37.4891 | − | 26.5505i | 1.18670 | − | 0.840441i | ||||
\(999\) | 0.410221 | + | 0.0790637i | 0.0129788 | + | 0.00250146i |
(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 | 804.2.bf.a.115.18 | yes | 680 | |
4.3 | odd | 2 | 804.2.bf.b.115.7 | yes | 680 | ||
67.7 | odd | 66 | 804.2.bf.b.7.7 | yes | 680 | ||
268.7 | even | 66 | inner | 804.2.bf.a.7.18 | ✓ | 680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bf.a.7.18 | ✓ | 680 | 268.7 | even | 66 | inner | |
804.2.bf.a.115.18 | yes | 680 | 1.1 | even | 1 | trivial | |
804.2.bf.b.7.7 | yes | 680 | 67.7 | odd | 66 | ||
804.2.bf.b.115.7 | yes | 680 | 4.3 | odd | 2 |