Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Root | \(1.87438 + 3.24652i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.81 |
Dual form | 370.2.o.a.201.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 0.528795 | + | 0.192466i | 0.305300 | + | 0.111120i | 0.490127 | − | 0.871651i | \(-0.336950\pi\) |
−0.184827 | + | 0.982771i | \(0.559173\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.173648 | + | 0.984808i | 0.0776578 | + | 0.440419i | ||||
\(6\) | −0.562732 | −0.229734 | ||||||||
\(7\) | −0.553248 | − | 3.13762i | −0.209108 | − | 1.18591i | −0.890843 | − | 0.454311i | \(-0.849886\pi\) |
0.681735 | − | 0.731599i | \(-0.261226\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2.05555 | − | 1.72481i | −0.685184 | − | 0.574938i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | 1.58682 | − | 2.74846i | 0.478445 | − | 0.828691i | −0.521250 | − | 0.853404i | \(-0.674534\pi\) |
0.999695 | + | 0.0247133i | \(0.00786729\pi\) | |||||||
\(12\) | 0.528795 | − | 0.192466i | 0.152650 | − | 0.0555600i | ||||
\(13\) | 3.63368 | − | 3.04902i | 1.00780 | − | 0.845645i | 0.0197548 | − | 0.999805i | \(-0.493711\pi\) |
0.988046 | + | 0.154160i | \(0.0492670\pi\) | |||||||
\(14\) | 1.59301 | + | 2.75918i | 0.425751 | + | 0.737422i | ||||
\(15\) | −0.0977173 | + | 0.554183i | −0.0252305 | + | 0.143089i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 2.70668 | + | 2.27118i | 0.656467 | + | 0.550841i | 0.909025 | − | 0.416741i | \(-0.136828\pi\) |
−0.252559 | + | 0.967582i | \(0.581272\pi\) | |||||||
\(18\) | 2.52151 | + | 0.917754i | 0.594325 | + | 0.216317i | ||||
\(19\) | −5.64743 | − | 2.05550i | −1.29561 | − | 0.471564i | −0.400046 | − | 0.916495i | \(-0.631006\pi\) |
−0.895564 | + | 0.444932i | \(0.853228\pi\) | |||||||
\(20\) | 0.766044 | + | 0.642788i | 0.171293 | + | 0.143732i | ||||
\(21\) | 0.311330 | − | 1.76564i | 0.0679378 | − | 0.385294i | ||||
\(22\) | −0.551098 | + | 3.12543i | −0.117494 | + | 0.666344i | ||||
\(23\) | 3.08028 | + | 5.33520i | 0.642282 | + | 1.11247i | 0.984922 | + | 0.172998i | \(0.0553455\pi\) |
−0.342640 | + | 0.939467i | \(0.611321\pi\) | |||||||
\(24\) | −0.431077 | + | 0.361717i | −0.0879933 | + | 0.0738352i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | −2.37171 | + | 4.10793i | −0.465131 | + | 0.805631i | ||||
\(27\) | −1.59910 | − | 2.76972i | −0.307746 | − | 0.533032i | ||||
\(28\) | −2.44064 | − | 2.04794i | −0.461237 | − | 0.387024i | ||||
\(29\) | 4.50884 | − | 7.80955i | 0.837271 | − | 1.45020i | −0.0548965 | − | 0.998492i | \(-0.517483\pi\) |
0.892168 | − | 0.451704i | \(-0.149184\pi\) | |||||||
\(30\) | −0.0977173 | − | 0.554183i | −0.0178407 | − | 0.101179i | ||||
\(31\) | 0.673963 | 0.121047 | 0.0605237 | − | 0.998167i | \(-0.480723\pi\) | ||||
0.0605237 | + | 0.998167i | \(0.480723\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 1.36809 | − | 1.14796i | 0.238153 | − | 0.199834i | ||||
\(34\) | −3.32024 | − | 1.20847i | −0.569416 | − | 0.207250i | ||||
\(35\) | 2.99388 | − | 1.08968i | 0.506059 | − | 0.184190i | ||||
\(36\) | −2.68333 | −0.447222 | ||||||||
\(37\) | 1.14364 | + | 5.97429i | 0.188013 | + | 0.982167i | ||||
\(38\) | 6.00987 | 0.974930 | ||||||||
\(39\) | 2.50830 | − | 0.912947i | 0.401650 | − | 0.146188i | ||||
\(40\) | −0.939693 | − | 0.342020i | −0.148578 | − | 0.0540781i | ||||
\(41\) | 4.45175 | − | 3.73546i | 0.695246 | − | 0.583381i | −0.225170 | − | 0.974319i | \(-0.572294\pi\) |
0.920417 | + | 0.390938i | \(0.127849\pi\) | |||||||
\(42\) | 0.311330 | + | 1.76564i | 0.0480392 | + | 0.272444i | ||||
\(43\) | 4.01520 | 0.612312 | 0.306156 | − | 0.951981i | \(-0.400957\pi\) | ||||
0.306156 | + | 0.951981i | \(0.400957\pi\) | |||||||
\(44\) | −0.551098 | − | 3.12543i | −0.0830811 | − | 0.471176i | ||||
\(45\) | 1.34167 | − | 2.32383i | 0.200004 | − | 0.346417i | ||||
\(46\) | −4.71926 | − | 3.95993i | −0.695817 | − | 0.583859i | ||||
\(47\) | −3.66819 | − | 6.35349i | −0.535061 | − | 0.926752i | −0.999160 | − | 0.0409693i | \(-0.986955\pi\) |
0.464100 | − | 0.885783i | \(-0.346378\pi\) | |||||||
\(48\) | 0.281366 | − | 0.487340i | 0.0406117 | − | 0.0703415i | ||||
\(49\) | −2.96074 | + | 1.07762i | −0.422963 | + | 0.153946i | ||||
\(50\) | 0.766044 | − | 0.642788i | 0.108335 | − | 0.0909039i | ||||
\(51\) | 0.994156 | + | 1.72193i | 0.139210 | + | 0.241118i | ||||
\(52\) | 0.823688 | − | 4.67137i | 0.114225 | − | 0.647802i | ||||
\(53\) | −1.88180 | + | 10.6722i | −0.258485 | + | 1.46594i | 0.528483 | + | 0.848944i | \(0.322761\pi\) |
−0.786967 | + | 0.616995i | \(0.788350\pi\) | |||||||
\(54\) | 2.44996 | + | 2.05576i | 0.333397 | + | 0.279753i | ||||
\(55\) | 2.98225 | + | 1.08545i | 0.402127 | + | 0.146362i | ||||
\(56\) | 2.99388 | + | 1.08968i | 0.400075 | + | 0.145615i | ||||
\(57\) | −2.59072 | − | 2.17387i | −0.343149 | − | 0.287937i | ||||
\(58\) | −1.56590 | + | 8.88069i | −0.205613 | + | 1.16609i | ||||
\(59\) | 0.132294 | − | 0.750274i | 0.0172232 | − | 0.0976774i | −0.974984 | − | 0.222273i | \(-0.928652\pi\) |
0.992208 | + | 0.124596i | \(0.0397634\pi\) | |||||||
\(60\) | 0.281366 | + | 0.487340i | 0.0363242 | + | 0.0629153i | ||||
\(61\) | −6.44154 | + | 5.40509i | −0.824754 | + | 0.692051i | −0.954080 | − | 0.299551i | \(-0.903163\pi\) |
0.129326 | + | 0.991602i | \(0.458719\pi\) | |||||||
\(62\) | −0.633318 | + | 0.230509i | −0.0804315 | + | 0.0292747i | ||||
\(63\) | −4.27458 | + | 7.40380i | −0.538547 | + | 0.932791i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 3.63368 | + | 3.04902i | 0.450702 | + | 0.378184i | ||||
\(66\) | −0.892955 | + | 1.54664i | −0.109915 | + | 0.190379i | ||||
\(67\) | −1.21616 | − | 6.89720i | −0.148578 | − | 0.842627i | −0.964424 | − | 0.264359i | \(-0.914840\pi\) |
0.815846 | − | 0.578269i | \(-0.196271\pi\) | |||||||
\(68\) | 3.53332 | 0.428478 | ||||||||
\(69\) | 0.601993 | + | 3.41407i | 0.0724714 | + | 0.411006i | ||||
\(70\) | −2.44064 | + | 2.04794i | −0.291712 | + | 0.244775i | ||||
\(71\) | −6.37947 | − | 2.32194i | −0.757104 | − | 0.275563i | −0.0655119 | − | 0.997852i | \(-0.520868\pi\) |
−0.691592 | + | 0.722289i | \(0.743090\pi\) | |||||||
\(72\) | 2.52151 | − | 0.917754i | 0.297163 | − | 0.108158i | ||||
\(73\) | −4.38099 | −0.512756 | −0.256378 | − | 0.966577i | \(-0.582529\pi\) | ||||
−0.256378 | + | 0.966577i | \(0.582529\pi\) | |||||||
\(74\) | −3.11800 | − | 5.22284i | −0.362460 | − | 0.607143i | ||||
\(75\) | −0.562732 | −0.0649787 | ||||||||
\(76\) | −5.64743 | + | 2.05550i | −0.647805 | + | 0.235782i | ||||
\(77\) | −9.50153 | − | 3.45827i | −1.08280 | − | 0.394107i | ||||
\(78\) | −2.04479 | + | 1.71578i | −0.231526 | + | 0.194274i | ||||
\(79\) | −1.42681 | − | 8.09184i | −0.160529 | − | 0.910403i | −0.953556 | − | 0.301217i | \(-0.902607\pi\) |
0.793027 | − | 0.609186i | \(-0.208504\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 1.08535 | + | 6.15532i | 0.120594 | + | 0.683924i | ||||
\(82\) | −2.90567 | + | 5.03277i | −0.320878 | + | 0.555777i | ||||
\(83\) | 9.24781 | + | 7.75983i | 1.01508 | + | 0.851753i | 0.989001 | − | 0.147907i | \(-0.0472538\pi\) |
0.0260779 | + | 0.999660i | \(0.491698\pi\) | |||||||
\(84\) | −0.896439 | − | 1.55268i | −0.0978095 | − | 0.169411i | ||||
\(85\) | −1.76666 | + | 3.05995i | −0.191621 | + | 0.331898i | ||||
\(86\) | −3.77305 | + | 1.37328i | −0.406859 | + | 0.148085i | ||||
\(87\) | 3.88732 | − | 3.26185i | 0.416765 | − | 0.349707i | ||||
\(88\) | 1.58682 | + | 2.74846i | 0.169156 | + | 0.292986i | ||||
\(89\) | −2.04916 | + | 11.6214i | −0.217210 | + | 1.23186i | 0.659819 | + | 0.751424i | \(0.270633\pi\) |
−0.877030 | + | 0.480436i | \(0.840478\pi\) | |||||||
\(90\) | −0.465956 | + | 2.64257i | −0.0491161 | + | 0.278551i | ||||
\(91\) | −11.5770 | − | 9.71425i | −1.21360 | − | 1.01833i | ||||
\(92\) | 5.78903 | + | 2.10703i | 0.603548 | + | 0.219673i | ||||
\(93\) | 0.356388 | + | 0.129715i | 0.0369557 | + | 0.0134508i | ||||
\(94\) | 5.61999 | + | 4.71574i | 0.579658 | + | 0.486391i | ||||
\(95\) | 1.04360 | − | 5.91857i | 0.107071 | − | 0.607232i | ||||
\(96\) | −0.0977173 | + | 0.554183i | −0.00997323 | + | 0.0565610i | ||||
\(97\) | 4.04892 | + | 7.01294i | 0.411106 | + | 0.712056i | 0.995011 | − | 0.0997660i | \(-0.0318094\pi\) |
−0.583905 | + | 0.811822i | \(0.698476\pi\) | |||||||
\(98\) | 2.41362 | − | 2.02527i | 0.243812 | − | 0.204583i | ||||
\(99\) | −8.00237 | + | 2.91262i | −0.804269 | + | 0.292730i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −1.11299 | − | 1.92775i | −0.110746 | − | 0.191818i | 0.805325 | − | 0.592833i | \(-0.201991\pi\) |
−0.916071 | + | 0.401015i | \(0.868657\pi\) | |||||||
\(102\) | −1.52314 | − | 1.27806i | −0.150813 | − | 0.126547i | ||||
\(103\) | 0.342093 | − | 0.592522i | 0.0337074 | − | 0.0583829i | −0.848680 | − | 0.528907i | \(-0.822602\pi\) |
0.882387 | + | 0.470524i | \(0.155935\pi\) | |||||||
\(104\) | 0.823688 | + | 4.67137i | 0.0807692 | + | 0.458065i | ||||
\(105\) | 1.79288 | 0.174967 | ||||||||
\(106\) | −1.88180 | − | 10.6722i | −0.182776 | − | 1.03658i | ||||
\(107\) | −15.1560 | + | 12.7174i | −1.46519 | + | 1.22944i | −0.544725 | + | 0.838615i | \(0.683366\pi\) |
−0.920465 | + | 0.390825i | \(0.872190\pi\) | |||||||
\(108\) | −3.00532 | − | 1.09385i | −0.289187 | − | 0.105255i | ||||
\(109\) | −19.0875 | + | 6.94728i | −1.82825 | + | 0.665429i | −0.834885 | + | 0.550424i | \(0.814466\pi\) |
−0.993365 | + | 0.115005i | \(0.963312\pi\) | |||||||
\(110\) | −3.17364 | −0.302595 | ||||||||
\(111\) | −0.545094 | + | 3.37928i | −0.0517380 | + | 0.320747i | ||||
\(112\) | −3.18603 | −0.301051 | ||||||||
\(113\) | 15.8823 | − | 5.78068i | 1.49408 | − | 0.543801i | 0.539560 | − | 0.841947i | \(-0.318591\pi\) |
0.954520 | + | 0.298147i | \(0.0963685\pi\) | |||||||
\(114\) | 3.17799 | + | 1.15669i | 0.297646 | + | 0.108334i | ||||
\(115\) | −4.71926 | + | 3.95993i | −0.440073 | + | 0.369265i | ||||
\(116\) | −1.56590 | − | 8.88069i | −0.145391 | − | 0.824551i | ||||
\(117\) | −12.7282 | −1.17672 | ||||||||
\(118\) | 0.132294 | + | 0.750274i | 0.0121786 | + | 0.0690684i | ||||
\(119\) | 5.62863 | − | 9.74907i | 0.515975 | − | 0.893695i | ||||
\(120\) | −0.431077 | − | 0.361717i | −0.0393518 | − | 0.0330201i | ||||
\(121\) | 0.463990 | + | 0.803654i | 0.0421809 | + | 0.0730594i | ||||
\(122\) | 4.20442 | − | 7.28226i | 0.380650 | − | 0.659305i | ||||
\(123\) | 3.07301 | − | 1.11848i | 0.277084 | − | 0.100850i | ||||
\(124\) | 0.516286 | − | 0.433215i | 0.0463638 | − | 0.0389039i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 1.48455 | − | 8.41929i | 0.132254 | − | 0.750050i | ||||
\(127\) | 2.10224 | − | 11.9224i | 0.186544 | − | 1.05794i | −0.737413 | − | 0.675443i | \(-0.763953\pi\) |
0.923956 | − | 0.382499i | \(-0.124936\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 2.12322 | + | 0.772788i | 0.186939 | + | 0.0680402i | ||||
\(130\) | −4.45737 | − | 1.62235i | −0.390937 | − | 0.142289i | ||||
\(131\) | 7.29228 | + | 6.11895i | 0.637130 | + | 0.534615i | 0.903135 | − | 0.429356i | \(-0.141260\pi\) |
−0.266006 | + | 0.963971i | \(0.585704\pi\) | |||||||
\(132\) | 0.310120 | − | 1.75878i | 0.0269925 | − | 0.153082i | ||||
\(133\) | −3.32495 | + | 18.8567i | −0.288309 | + | 1.63508i | ||||
\(134\) | 3.50180 | + | 6.06530i | 0.302510 | + | 0.523962i | ||||
\(135\) | 2.44996 | − | 2.05576i | 0.210859 | − | 0.176931i | ||||
\(136\) | −3.32024 | + | 1.20847i | −0.284708 | + | 0.103625i | ||||
\(137\) | −5.48935 | + | 9.50783i | −0.468986 | + | 0.812308i | −0.999372 | − | 0.0354485i | \(-0.988714\pi\) |
0.530385 | + | 0.847757i | \(0.322047\pi\) | |||||||
\(138\) | −1.73337 | − | 3.00228i | −0.147554 | − | 0.255571i | ||||
\(139\) | 13.9652 | + | 11.7182i | 1.18451 | + | 0.993925i | 0.999938 | + | 0.0111062i | \(0.00353529\pi\) |
0.184575 | + | 0.982818i | \(0.440909\pi\) | |||||||
\(140\) | 1.59301 | − | 2.75918i | 0.134634 | − | 0.233193i | ||||
\(141\) | −0.716892 | − | 4.06569i | −0.0603732 | − | 0.342393i | ||||
\(142\) | 6.78889 | 0.569711 | ||||||||
\(143\) | −2.61409 | − | 14.8253i | −0.218601 | − | 1.23975i | ||||
\(144\) | −2.05555 | + | 1.72481i | −0.171296 | + | 0.143734i | ||||
\(145\) | 8.47385 | + | 3.08423i | 0.703715 | + | 0.256131i | ||||
\(146\) | 4.11678 | − | 1.49839i | 0.340707 | − | 0.124007i | ||||
\(147\) | −1.77303 | −0.146237 | ||||||||
\(148\) | 4.71628 | + | 3.84145i | 0.387675 | + | 0.315765i | ||||
\(149\) | 5.81003 | 0.475976 | 0.237988 | − | 0.971268i | \(-0.423512\pi\) | ||||
0.237988 | + | 0.971268i | \(0.423512\pi\) | |||||||
\(150\) | 0.528795 | − | 0.192466i | 0.0431759 | − | 0.0157147i | ||||
\(151\) | −0.713237 | − | 0.259597i | −0.0580424 | − | 0.0211257i | 0.312836 | − | 0.949807i | \(-0.398721\pi\) |
−0.370878 | + | 0.928682i | \(0.620943\pi\) | |||||||
\(152\) | 4.60383 | − | 3.86307i | 0.373420 | − | 0.313337i | ||||
\(153\) | −1.64637 | − | 9.33704i | −0.133101 | − | 0.754855i | ||||
\(154\) | 10.1113 | 0.814793 | ||||||||
\(155\) | 0.117032 | + | 0.663724i | 0.00940028 | + | 0.0533116i | ||||
\(156\) | 1.33464 | − | 2.31166i | 0.106857 | − | 0.185081i | ||||
\(157\) | 2.53671 | + | 2.12855i | 0.202451 | + | 0.169877i | 0.738377 | − | 0.674389i | \(-0.235593\pi\) |
−0.535925 | + | 0.844265i | \(0.680037\pi\) | |||||||
\(158\) | 4.10833 | + | 7.11584i | 0.326842 | + | 0.566106i | ||||
\(159\) | −3.04911 | + | 5.28122i | −0.241811 | + | 0.418828i | ||||
\(160\) | −0.939693 | + | 0.342020i | −0.0742892 | + | 0.0270391i | ||||
\(161\) | 15.0357 | − | 12.6164i | 1.18498 | − | 0.994314i | ||||
\(162\) | −3.12514 | − | 5.41290i | −0.245534 | − | 0.425277i | ||||
\(163\) | 2.02082 | − | 11.4607i | 0.158283 | − | 0.897668i | −0.797440 | − | 0.603399i | \(-0.793813\pi\) |
0.955723 | − | 0.294269i | \(-0.0950762\pi\) | |||||||
\(164\) | 1.00913 | − | 5.72306i | 0.0787998 | − | 0.446896i | ||||
\(165\) | 1.36809 | + | 1.14796i | 0.106505 | + | 0.0893687i | ||||
\(166\) | −11.3441 | − | 4.12892i | −0.880474 | − | 0.320466i | ||||
\(167\) | 7.87448 | + | 2.86608i | 0.609346 | + | 0.221784i | 0.628217 | − | 0.778038i | \(-0.283785\pi\) |
−0.0188713 | + | 0.999822i | \(0.506007\pi\) | |||||||
\(168\) | 1.37342 | + | 1.15244i | 0.105962 | + | 0.0889126i | ||||
\(169\) | 1.64968 | − | 9.35579i | 0.126898 | − | 0.719676i | ||||
\(170\) | 0.613555 | − | 3.47964i | 0.0470575 | − | 0.266876i | ||||
\(171\) | 8.06325 | + | 13.9660i | 0.616612 | + | 1.06800i | ||||
\(172\) | 3.07582 | − | 2.58092i | 0.234529 | − | 0.196793i | ||||
\(173\) | 17.7156 | − | 6.44794i | 1.34689 | − | 0.490228i | 0.434914 | − | 0.900472i | \(-0.356779\pi\) |
0.911976 | + | 0.410244i | \(0.134556\pi\) | |||||||
\(174\) | −2.53727 | + | 4.39468i | −0.192350 | + | 0.333160i | ||||
\(175\) | 1.59301 | + | 2.75918i | 0.120420 | + | 0.208574i | ||||
\(176\) | −2.43115 | − | 2.03998i | −0.183255 | − | 0.153769i | ||||
\(177\) | 0.214358 | − | 0.371279i | 0.0161121 | − | 0.0279071i | ||||
\(178\) | −2.04916 | − | 11.6214i | −0.153591 | − | 0.871057i | ||||
\(179\) | 16.0870 | 1.20240 | 0.601199 | − | 0.799099i | \(-0.294690\pi\) | ||||
0.601199 | + | 0.799099i | \(0.294690\pi\) | |||||||
\(180\) | −0.465956 | − | 2.64257i | −0.0347303 | − | 0.196965i | ||||
\(181\) | −7.73619 | + | 6.49144i | −0.575027 | + | 0.482505i | −0.883310 | − | 0.468790i | \(-0.844690\pi\) |
0.308283 | + | 0.951295i | \(0.400246\pi\) | |||||||
\(182\) | 14.2013 | + | 5.16884i | 1.05267 | + | 0.383140i | ||||
\(183\) | −4.44655 | + | 1.61841i | −0.328698 | + | 0.119636i | ||||
\(184\) | −6.16055 | −0.454162 | ||||||||
\(185\) | −5.68493 | + | 2.16369i | −0.417965 | + | 0.159078i | ||||
\(186\) | −0.379261 | −0.0278087 | ||||||||
\(187\) | 10.5373 | − | 3.83525i | 0.770560 | − | 0.280461i | ||||
\(188\) | −6.89394 | − | 2.50919i | −0.502793 | − | 0.183002i | ||||
\(189\) | −7.80563 | + | 6.54970i | −0.567776 | + | 0.476420i | ||||
\(190\) | 1.04360 | + | 5.91857i | 0.0757110 | + | 0.429378i | ||||
\(191\) | −9.50698 | −0.687901 | −0.343950 | − | 0.938988i | \(-0.611765\pi\) | ||||
−0.343950 | + | 0.938988i | \(0.611765\pi\) | |||||||
\(192\) | −0.0977173 | − | 0.554183i | −0.00705214 | − | 0.0399947i | ||||
\(193\) | 1.31206 | − | 2.27255i | 0.0944439 | − | 0.163582i | −0.814932 | − | 0.579556i | \(-0.803226\pi\) |
0.909376 | + | 0.415974i | \(0.136559\pi\) | |||||||
\(194\) | −6.20331 | − | 5.20519i | −0.445371 | − | 0.373711i | ||||
\(195\) | 1.33464 | + | 2.31166i | 0.0955755 | + | 0.165542i | ||||
\(196\) | −1.57538 | + | 2.72864i | −0.112527 | + | 0.194903i | ||||
\(197\) | 10.0008 | − | 3.63998i | 0.712524 | − | 0.259338i | 0.0397754 | − | 0.999209i | \(-0.487336\pi\) |
0.672749 | + | 0.739871i | \(0.265114\pi\) | |||||||
\(198\) | 6.52359 | − | 5.47394i | 0.463612 | − | 0.389016i | ||||
\(199\) | −3.19548 | − | 5.53473i | −0.226521 | − | 0.392347i | 0.730253 | − | 0.683176i | \(-0.239402\pi\) |
−0.956775 | + | 0.290830i | \(0.906069\pi\) | |||||||
\(200\) | 0.173648 | − | 0.984808i | 0.0122788 | − | 0.0696364i | ||||
\(201\) | 0.684373 | − | 3.88127i | 0.0482720 | − | 0.273764i | ||||
\(202\) | 1.70519 | + | 1.43083i | 0.119977 | + | 0.100673i | ||||
\(203\) | −26.9979 | − | 9.82644i | −1.89488 | − | 0.689681i | ||||
\(204\) | 1.86840 | + | 0.680043i | 0.130814 | + | 0.0476125i | ||||
\(205\) | 4.45175 | + | 3.73546i | 0.310924 | + | 0.260896i | ||||
\(206\) | −0.118808 | + | 0.673791i | −0.00827771 | + | 0.0469452i | ||||
\(207\) | 2.87055 | − | 16.2797i | 0.199517 | − | 1.13152i | ||||
\(208\) | −2.37171 | − | 4.10793i | −0.164449 | − | 0.284834i | ||||
\(209\) | −14.6109 | + | 12.2600i | −1.01066 | + | 0.848043i | ||||
\(210\) | −1.68475 | + | 0.613200i | −0.116259 | + | 0.0423148i | ||||
\(211\) | 4.12493 | − | 7.14459i | 0.283972 | − | 0.491854i | −0.688387 | − | 0.725343i | \(-0.741681\pi\) |
0.972359 | + | 0.233489i | \(0.0750144\pi\) | |||||||
\(212\) | 5.41842 | + | 9.38497i | 0.372138 | + | 0.644563i | ||||
\(213\) | −2.92654 | − | 2.45566i | −0.200523 | − | 0.168259i | ||||
\(214\) | 9.89240 | − | 17.1341i | 0.676231 | − | 1.17127i | ||||
\(215\) | 0.697232 | + | 3.95420i | 0.0475509 | + | 0.269674i | ||||
\(216\) | 3.19819 | 0.217609 | ||||||||
\(217\) | −0.372869 | − | 2.11464i | −0.0253120 | − | 0.143551i | ||||
\(218\) | 15.5603 | − | 13.0566i | 1.05387 | − | 0.884306i | ||||
\(219\) | −2.31664 | − | 0.843190i | −0.156544 | − | 0.0569775i | ||||
\(220\) | 2.98225 | − | 1.08545i | 0.201063 | − | 0.0731811i | ||||
\(221\) | 16.7601 | 1.12740 | ||||||||
\(222\) | −0.643562 | − | 3.36192i | −0.0431930 | − | 0.225637i | ||||
\(223\) | −14.6189 | −0.978955 | −0.489478 | − | 0.872016i | \(-0.662812\pi\) | ||||
−0.489478 | + | 0.872016i | \(0.662812\pi\) | |||||||
\(224\) | 2.99388 | − | 1.08968i | 0.200037 | − | 0.0728076i | ||||
\(225\) | 2.52151 | + | 0.917754i | 0.168101 | + | 0.0611836i | ||||
\(226\) | −12.9474 | + | 10.8641i | −0.861245 | + | 0.722671i | ||||
\(227\) | −1.52375 | − | 8.64162i | −0.101135 | − | 0.573565i | −0.992694 | − | 0.120660i | \(-0.961499\pi\) |
0.891559 | − | 0.452905i | \(-0.149612\pi\) | |||||||
\(228\) | −3.38195 | −0.223975 | ||||||||
\(229\) | −3.65463 | − | 20.7264i | −0.241505 | − | 1.36964i | −0.828472 | − | 0.560030i | \(-0.810789\pi\) |
0.586967 | − | 0.809611i | \(-0.300322\pi\) | |||||||
\(230\) | 3.08028 | − | 5.33520i | 0.203107 | − | 0.351792i | ||||
\(231\) | −4.35876 | − | 3.65743i | −0.286785 | − | 0.240641i | ||||
\(232\) | 4.50884 | + | 7.80955i | 0.296020 | + | 0.512722i | ||||
\(233\) | −5.78323 | + | 10.0168i | −0.378872 | + | 0.656226i | −0.990898 | − | 0.134612i | \(-0.957021\pi\) |
0.612026 | + | 0.790837i | \(0.290355\pi\) | |||||||
\(234\) | 11.9606 | − | 4.35330i | 0.781889 | − | 0.284584i | ||||
\(235\) | 5.61999 | − | 4.71574i | 0.366608 | − | 0.307621i | ||||
\(236\) | −0.380924 | − | 0.659780i | −0.0247961 | − | 0.0429480i | ||||
\(237\) | 0.802911 | − | 4.55353i | 0.0521547 | − | 0.295784i | ||||
\(238\) | −1.95480 | + | 11.0862i | −0.126711 | + | 0.718614i | ||||
\(239\) | −8.99786 | − | 7.55010i | −0.582023 | − | 0.488376i | 0.303588 | − | 0.952804i | \(-0.401816\pi\) |
−0.885611 | + | 0.464428i | \(0.846260\pi\) | |||||||
\(240\) | 0.528795 | + | 0.192466i | 0.0341336 | + | 0.0124236i | ||||
\(241\) | 24.8126 | + | 9.03106i | 1.59832 | + | 0.581741i | 0.979083 | − | 0.203462i | \(-0.0652192\pi\) |
0.619238 | + | 0.785203i | \(0.287441\pi\) | |||||||
\(242\) | −0.710874 | − | 0.596494i | −0.0456967 | − | 0.0383441i | ||||
\(243\) | −2.27684 | + | 12.9126i | −0.146059 | + | 0.828344i | ||||
\(244\) | −1.46018 | + | 8.28108i | −0.0934783 | + | 0.530142i | ||||
\(245\) | −1.57538 | − | 2.72864i | −0.100647 | − | 0.174326i | ||||
\(246\) | −2.50514 | + | 2.10206i | −0.159722 | + | 0.134023i | ||||
\(247\) | −26.7882 | + | 9.75011i | −1.70449 | + | 0.620384i | ||||
\(248\) | −0.336982 | + | 0.583669i | −0.0213984 | + | 0.0370630i | ||||
\(249\) | 3.39669 | + | 5.88325i | 0.215257 | + | 0.372836i | ||||
\(250\) | 0.766044 | + | 0.642788i | 0.0484489 | + | 0.0406535i | ||||
\(251\) | 2.00625 | − | 3.47492i | 0.126633 | − | 0.219335i | −0.795737 | − | 0.605642i | \(-0.792916\pi\) |
0.922370 | + | 0.386307i | \(0.126250\pi\) | |||||||
\(252\) | 1.48455 | + | 8.41929i | 0.0935177 | + | 0.530365i | ||||
\(253\) | 19.5514 | 1.22919 | ||||||||
\(254\) | 2.10224 | + | 11.9224i | 0.131906 | + | 0.748077i | ||||
\(255\) | −1.52314 | + | 1.27806i | −0.0953824 | + | 0.0800354i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −4.83384 | + | 1.75938i | −0.301527 | + | 0.109747i | −0.488353 | − | 0.872646i | \(-0.662402\pi\) |
0.186826 | + | 0.982393i | \(0.440180\pi\) | |||||||
\(258\) | −2.25948 | −0.140669 | ||||||||
\(259\) | 18.1123 | − | 6.89357i | 1.12545 | − | 0.428345i | ||||
\(260\) | 4.74343 | 0.294175 | ||||||||
\(261\) | −22.7382 | + | 8.27602i | −1.40746 | + | 0.512273i | ||||
\(262\) | −8.94531 | − | 3.25583i | −0.552643 | − | 0.201146i | ||||
\(263\) | −24.3139 | + | 20.4018i | −1.49926 | + | 1.25803i | −0.617271 | + | 0.786751i | \(0.711762\pi\) |
−0.881986 | + | 0.471275i | \(0.843794\pi\) | |||||||
\(264\) | 0.310120 | + | 1.75878i | 0.0190866 | + | 0.108245i | ||||
\(265\) | −10.8368 | −0.665701 | ||||||||
\(266\) | −3.32495 | − | 18.8567i | −0.203866 | − | 1.15618i | ||||
\(267\) | −3.32029 | + | 5.75092i | −0.203199 | + | 0.351950i | ||||
\(268\) | −5.36507 | − | 4.50183i | −0.327724 | − | 0.274993i | ||||
\(269\) | 14.5891 | + | 25.2690i | 0.889510 | + | 1.54068i | 0.840455 | + | 0.541881i | \(0.182288\pi\) |
0.0490551 | + | 0.998796i | \(0.484379\pi\) | |||||||
\(270\) | −1.59910 | + | 2.76972i | −0.0973179 | + | 0.168560i | ||||
\(271\) | 27.8486 | − | 10.1361i | 1.69168 | − | 0.615722i | 0.696846 | − | 0.717221i | \(-0.254586\pi\) |
0.994836 | + | 0.101499i | \(0.0323638\pi\) | |||||||
\(272\) | 2.70668 | − | 2.27118i | 0.164117 | − | 0.137710i | ||||
\(273\) | −4.25219 | − | 7.36502i | −0.257354 | − | 0.445751i | ||||
\(274\) | 1.90643 | − | 10.8119i | 0.115172 | − | 0.653171i | ||||
\(275\) | −0.551098 | + | 3.12543i | −0.0332324 | + | 0.188471i | ||||
\(276\) | 2.65568 | + | 2.22838i | 0.159853 | + | 0.134133i | ||||
\(277\) | 12.4238 | + | 4.52188i | 0.746472 | + | 0.271693i | 0.687120 | − | 0.726544i | \(-0.258875\pi\) |
0.0593514 | + | 0.998237i | \(0.481097\pi\) | |||||||
\(278\) | −17.1309 | − | 6.23512i | −1.02744 | − | 0.373958i | ||||
\(279\) | −1.38537 | − | 1.16246i | −0.0829397 | − | 0.0695947i | ||||
\(280\) | −0.553248 | + | 3.13762i | −0.0330629 | + | 0.187509i | ||||
\(281\) | −4.00787 | + | 22.7298i | −0.239090 | + | 1.35595i | 0.594738 | + | 0.803920i | \(0.297256\pi\) |
−0.833827 | + | 0.552025i | \(0.813855\pi\) | |||||||
\(282\) | 2.06421 | + | 3.57531i | 0.122922 | + | 0.212907i | ||||
\(283\) | 0.134985 | − | 0.113266i | 0.00802400 | − | 0.00673294i | −0.638767 | − | 0.769400i | \(-0.720555\pi\) |
0.646791 | + | 0.762667i | \(0.276111\pi\) | |||||||
\(284\) | −6.37947 | + | 2.32194i | −0.378552 | + | 0.137782i | ||||
\(285\) | 1.69097 | − | 2.92885i | 0.100165 | − | 0.173490i | ||||
\(286\) | 7.52698 | + | 13.0371i | 0.445080 | + | 0.770900i | ||||
\(287\) | −14.1834 | − | 11.9013i | −0.837219 | − | 0.702510i | ||||
\(288\) | 1.34167 | − | 2.32383i | 0.0790585 | − | 0.136933i | ||||
\(289\) | −0.784132 | − | 4.44703i | −0.0461254 | − | 0.261590i | ||||
\(290\) | −9.01769 | −0.529537 | ||||||||
\(291\) | 0.791299 | + | 4.48768i | 0.0463868 | + | 0.263073i | ||||
\(292\) | −3.35603 | + | 2.81605i | −0.196397 | + | 0.164797i | ||||
\(293\) | 20.0608 | + | 7.30152i | 1.17196 | + | 0.426559i | 0.853356 | − | 0.521328i | \(-0.174563\pi\) |
0.318606 | + | 0.947887i | \(0.396785\pi\) | |||||||
\(294\) | 1.66610 | − | 0.606412i | 0.0971692 | − | 0.0353667i | ||||
\(295\) | 0.761849 | 0.0443565 | ||||||||
\(296\) | −5.74570 | − | 1.99672i | −0.333962 | − | 0.116057i | ||||
\(297\) | −10.1499 | −0.588958 | ||||||||
\(298\) | −5.45964 | + | 1.98715i | −0.316268 | + | 0.115112i | ||||
\(299\) | 27.4598 | + | 9.99456i | 1.58804 | + | 0.578000i | ||||
\(300\) | −0.431077 | + | 0.361717i | −0.0248883 | + | 0.0208837i | ||||
\(301\) | −2.22140 | − | 12.5982i | −0.128039 | − | 0.726147i | ||||
\(302\) | 0.759011 | 0.0436762 | ||||||||
\(303\) | −0.217516 | − | 1.23360i | −0.0124960 | − | 0.0708682i | ||||
\(304\) | −3.00494 | + | 5.20470i | −0.172345 | + | 0.298510i | ||||
\(305\) | −6.44154 | − | 5.40509i | −0.368841 | − | 0.309495i | ||||
\(306\) | 4.74054 | + | 8.21086i | 0.270999 | + | 0.469383i | ||||
\(307\) | −11.2614 | + | 19.5053i | −0.642721 | + | 1.11323i | 0.342102 | + | 0.939663i | \(0.388861\pi\) |
−0.984823 | + | 0.173562i | \(0.944472\pi\) | |||||||
\(308\) | −9.50153 | + | 3.45827i | −0.541400 | + | 0.197053i | ||||
\(309\) | 0.294937 | − | 0.247481i | 0.0167784 | − | 0.0140787i | ||||
\(310\) | −0.336982 | − | 0.583669i | −0.0191393 | − | 0.0331502i | ||||
\(311\) | 1.83992 | − | 10.4347i | 0.104333 | − | 0.591699i | −0.887152 | − | 0.461477i | \(-0.847320\pi\) |
0.991485 | − | 0.130223i | \(-0.0415692\pi\) | |||||||
\(312\) | −0.463515 | + | 2.62873i | −0.0262414 | + | 0.148822i | ||||
\(313\) | 0.597616 | + | 0.501459i | 0.0337793 | + | 0.0283442i | 0.659521 | − | 0.751686i | \(-0.270759\pi\) |
−0.625742 | + | 0.780030i | \(0.715204\pi\) | |||||||
\(314\) | −3.11173 | − | 1.13258i | −0.175605 | − | 0.0639150i | ||||
\(315\) | −8.03359 | − | 2.92399i | −0.452641 | − | 0.164748i | ||||
\(316\) | −6.29433 | − | 5.28157i | −0.354084 | − | 0.297112i | ||||
\(317\) | −3.22905 | + | 18.3128i | −0.181361 | + | 1.02855i | 0.749180 | + | 0.662366i | \(0.230448\pi\) |
−0.930542 | + | 0.366186i | \(0.880664\pi\) | |||||||
\(318\) | 1.05895 | − | 6.00558i | 0.0593828 | − | 0.336776i | ||||
\(319\) | −14.3095 | − | 24.7847i | −0.801176 | − | 1.38768i | ||||
\(320\) | 0.766044 | − | 0.642788i | 0.0428232 | − | 0.0359329i | ||||
\(321\) | −10.4621 | + | 3.80789i | −0.583938 | + | 0.212536i | ||||
\(322\) | −9.81384 | + | 16.9981i | −0.546904 | + | 0.947265i | ||||
\(323\) | −10.6174 | − | 18.3899i | −0.590768 | − | 1.02324i | ||||
\(324\) | 4.78799 | + | 4.01760i | 0.265999 | + | 0.223200i | ||||
\(325\) | −2.37171 | + | 4.10793i | −0.131559 | + | 0.227867i | ||||
\(326\) | 2.02082 | + | 11.4607i | 0.111923 | + | 0.634747i | ||||
\(327\) | −11.4305 | −0.632107 | ||||||||
\(328\) | 1.00913 | + | 5.72306i | 0.0557199 | + | 0.316003i | ||||
\(329\) | −17.9054 | + | 15.0245i | −0.987159 | + | 0.828325i | ||||
\(330\) | −1.67821 | − | 0.610817i | −0.0923822 | − | 0.0336244i | ||||
\(331\) | 8.85618 | − | 3.22339i | 0.486780 | − | 0.177173i | −0.0869587 | − | 0.996212i | \(-0.527715\pi\) |
0.573738 | + | 0.819039i | \(0.305493\pi\) | |||||||
\(332\) | 12.0722 | 0.662546 | ||||||||
\(333\) | 7.95372 | − | 14.2530i | 0.435861 | − | 0.781061i | ||||
\(334\) | −8.37985 | −0.458525 | ||||||||
\(335\) | 6.58123 | − | 2.39537i | 0.359571 | − | 0.130873i | ||||
\(336\) | −1.68475 | − | 0.613200i | −0.0919109 | − | 0.0334528i | ||||
\(337\) | 3.81134 | − | 3.19809i | 0.207617 | − | 0.174211i | −0.533050 | − | 0.846084i | \(-0.678954\pi\) |
0.740667 | + | 0.671873i | \(0.234510\pi\) | |||||||
\(338\) | 1.64968 | + | 9.35579i | 0.0897307 | + | 0.508888i | ||||
\(339\) | 9.51105 | 0.516569 | ||||||||
\(340\) | 0.613555 | + | 3.47964i | 0.0332747 | + | 0.188710i | ||||
\(341\) | 1.06946 | − | 1.85236i | 0.0579145 | − | 0.100311i | ||||
\(342\) | −12.3536 | − | 10.3659i | −0.668007 | − | 0.560524i | ||||
\(343\) | −6.13189 | − | 10.6207i | −0.331091 | − | 0.573466i | ||||
\(344\) | −2.00760 | + | 3.47727i | −0.108243 | + | 0.187482i | ||||
\(345\) | −3.25767 | + | 1.18569i | −0.175387 | + | 0.0638356i | ||||
\(346\) | −14.4419 | + | 12.1182i | −0.776400 | + | 0.651477i | ||||
\(347\) | 14.0536 | + | 24.3416i | 0.754437 | + | 1.30672i | 0.945654 | + | 0.325175i | \(0.105423\pi\) |
−0.191217 | + | 0.981548i | \(0.561243\pi\) | |||||||
\(348\) | 0.881184 | − | 4.99744i | 0.0472364 | − | 0.267891i | ||||
\(349\) | 2.61460 | − | 14.8281i | 0.139956 | − | 0.793732i | −0.831323 | − | 0.555790i | \(-0.812416\pi\) |
0.971279 | − | 0.237942i | \(-0.0764729\pi\) | |||||||
\(350\) | −2.44064 | − | 2.04794i | −0.130458 | − | 0.109467i | ||||
\(351\) | −14.2555 | − | 5.18858i | −0.760903 | − | 0.276946i | ||||
\(352\) | 2.98225 | + | 1.08545i | 0.158954 | + | 0.0578547i | ||||
\(353\) | −16.4953 | − | 13.8412i | −0.877958 | − | 0.736694i | 0.0878005 | − | 0.996138i | \(-0.472016\pi\) |
−0.965758 | + | 0.259444i | \(0.916461\pi\) | |||||||
\(354\) | −0.0744458 | + | 0.422203i | −0.00395675 | + | 0.0224398i | ||||
\(355\) | 1.17888 | − | 6.68575i | 0.0625684 | − | 0.354843i | ||||
\(356\) | 5.90031 | + | 10.2196i | 0.312716 | + | 0.541640i | ||||
\(357\) | 4.85275 | − | 4.07194i | 0.256835 | − | 0.215510i | ||||
\(358\) | −15.1168 | + | 5.50207i | −0.798949 | + | 0.290794i | ||||
\(359\) | −11.6634 | + | 20.2016i | −0.615572 | + | 1.06620i | 0.374712 | + | 0.927141i | \(0.377742\pi\) |
−0.990284 | + | 0.139061i | \(0.955592\pi\) | |||||||
\(360\) | 1.34167 | + | 2.32383i | 0.0707120 | + | 0.122477i | ||||
\(361\) | 13.1136 | + | 11.0036i | 0.690189 | + | 0.579137i | ||||
\(362\) | 5.04944 | − | 8.74589i | 0.265393 | − | 0.459674i | ||||
\(363\) | 0.0906797 | + | 0.514270i | 0.00475945 | + | 0.0269922i | ||||
\(364\) | −15.1127 | −0.792120 | ||||||||
\(365\) | −0.760751 | − | 4.31443i | −0.0398195 | − | 0.225828i | ||||
\(366\) | 3.62486 | − | 3.04162i | 0.189474 | − | 0.158988i | ||||
\(367\) | 22.3500 | + | 8.13474i | 1.16666 | + | 0.424630i | 0.851473 | − | 0.524399i | \(-0.175710\pi\) |
0.315189 | + | 0.949029i | \(0.397932\pi\) | |||||||
\(368\) | 5.78903 | − | 2.10703i | 0.301774 | − | 0.109837i | ||||
\(369\) | −15.5938 | −0.811780 | ||||||||
\(370\) | 4.60206 | − | 3.97756i | 0.239250 | − | 0.206784i | ||||
\(371\) | 34.5264 | 1.79252 | ||||||||
\(372\) | 0.356388 | − | 0.129715i | 0.0184779 | − | 0.00672540i | ||||
\(373\) | −23.6925 | − | 8.62338i | −1.22675 | − | 0.446502i | −0.354269 | − | 0.935144i | \(-0.615270\pi\) |
−0.872484 | + | 0.488642i | \(0.837492\pi\) | |||||||
\(374\) | −8.59005 | + | 7.20790i | −0.444181 | + | 0.372712i | ||||
\(375\) | −0.0977173 | − | 0.554183i | −0.00504610 | − | 0.0286179i | ||||
\(376\) | 7.33638 | 0.378345 | ||||||||
\(377\) | −7.42776 | − | 42.1249i | −0.382549 | − | 2.16954i | ||||
\(378\) | 5.09476 | − | 8.82438i | 0.262046 | − | 0.453877i | ||||
\(379\) | 8.20272 | + | 6.88290i | 0.421345 | + | 0.353551i | 0.828675 | − | 0.559731i | \(-0.189095\pi\) |
−0.407329 | + | 0.913281i | \(0.633540\pi\) | |||||||
\(380\) | −3.00494 | − | 5.20470i | −0.154150 | − | 0.266996i | ||||
\(381\) | 3.40630 | − | 5.89989i | 0.174510 | − | 0.302261i | ||||
\(382\) | 8.93364 | − | 3.25158i | 0.457085 | − | 0.166365i | ||||
\(383\) | 4.34423 | − | 3.64524i | 0.221980 | − | 0.186263i | −0.525015 | − | 0.851093i | \(-0.675940\pi\) |
0.746995 | + | 0.664830i | \(0.231496\pi\) | |||||||
\(384\) | 0.281366 | + | 0.487340i | 0.0143584 | + | 0.0248695i | ||||
\(385\) | 1.75581 | − | 9.95770i | 0.0894844 | − | 0.507491i | ||||
\(386\) | −0.455672 | + | 2.58425i | −0.0231931 | + | 0.131535i | ||||
\(387\) | −8.25346 | − | 6.92547i | −0.419547 | − | 0.352042i | ||||
\(388\) | 7.60948 | + | 2.76962i | 0.386313 | + | 0.140606i | ||||
\(389\) | −10.4964 | − | 3.82039i | −0.532191 | − | 0.193702i | 0.0619256 | − | 0.998081i | \(-0.480276\pi\) |
−0.594116 | + | 0.804379i | \(0.702498\pi\) | |||||||
\(390\) | −2.04479 | − | 1.71578i | −0.103542 | − | 0.0868818i | ||||
\(391\) | −3.77984 | + | 21.4365i | −0.191155 | + | 1.08409i | ||||
\(392\) | 0.547123 | − | 3.10289i | 0.0276339 | − | 0.156720i | ||||
\(393\) | 2.67843 | + | 4.63918i | 0.135109 | + | 0.234016i | ||||
\(394\) | −8.15269 | + | 6.84092i | −0.410726 | + | 0.344640i | ||||
\(395\) | 7.72114 | − | 2.81027i | 0.388493 | − | 0.141400i | ||||
\(396\) | −4.25797 | + | 7.37503i | −0.213971 | + | 0.370609i | ||||
\(397\) | 2.93638 | + | 5.08596i | 0.147373 | + | 0.255257i | 0.930256 | − | 0.366912i | \(-0.119585\pi\) |
−0.782883 | + | 0.622169i | \(0.786252\pi\) | |||||||
\(398\) | 4.89576 | + | 4.10803i | 0.245402 | + | 0.205917i | ||||
\(399\) | −5.38748 | + | 9.33139i | −0.269712 | + | 0.467154i | ||||
\(400\) | 0.173648 | + | 0.984808i | 0.00868241 | + | 0.0492404i | ||||
\(401\) | 7.59493 | 0.379273 | 0.189636 | − | 0.981854i | \(-0.439269\pi\) | ||||
0.189636 | + | 0.981854i | \(0.439269\pi\) | |||||||
\(402\) | 0.684373 | + | 3.88127i | 0.0341334 | + | 0.193580i | ||||
\(403\) | 2.44897 | − | 2.05493i | 0.121992 | − | 0.102363i | ||||
\(404\) | −2.09173 | − | 0.761328i | −0.104068 | − | 0.0378775i | ||||
\(405\) | −5.87334 | + | 2.13772i | −0.291848 | + | 0.106224i | ||||
\(406\) | 28.7306 | 1.42587 | ||||||||
\(407\) | 18.2348 | + | 6.33689i | 0.903866 | + | 0.314108i | ||||
\(408\) | −1.98831 | −0.0984361 | ||||||||
\(409\) | 13.1079 | − | 4.77089i | 0.648144 | − | 0.235905i | 0.00303492 | − | 0.999995i | \(-0.499034\pi\) |
0.645110 | + | 0.764090i | \(0.276812\pi\) | |||||||
\(410\) | −5.46088 | − | 1.98760i | −0.269694 | − | 0.0981604i | ||||
\(411\) | −4.73267 | + | 3.97118i | −0.233445 | + | 0.195884i | ||||
\(412\) | −0.118808 | − | 0.673791i | −0.00585323 | − | 0.0331953i | ||||
\(413\) | −2.42727 | −0.119438 | ||||||||
\(414\) | 2.87055 | + | 16.2797i | 0.141080 | + | 0.800102i | ||||
\(415\) | −6.03608 | + | 10.4548i | −0.296300 | + | 0.513206i | ||||
\(416\) | 3.63368 | + | 3.04902i | 0.178156 | + | 0.149490i | ||||
\(417\) | 5.12938 | + | 8.88434i | 0.251187 | + | 0.435068i | ||||
\(418\) | 9.53660 | − | 16.5179i | 0.466450 | − | 0.807916i | ||||
\(419\) | −6.39031 | + | 2.32588i | −0.312187 | + | 0.113627i | −0.493362 | − | 0.869824i | \(-0.664232\pi\) |
0.181175 | + | 0.983451i | \(0.442010\pi\) | |||||||
\(420\) | 1.37342 | − | 1.15244i | 0.0670162 | − | 0.0562333i | ||||
\(421\) | 16.1243 | + | 27.9280i | 0.785849 | + | 1.36113i | 0.928491 | + | 0.371355i | \(0.121107\pi\) |
−0.142642 | + | 0.989774i | \(0.545560\pi\) | |||||||
\(422\) | −1.43257 | + | 8.12453i | −0.0697366 | + | 0.395496i | ||||
\(423\) | −3.41843 | + | 19.3869i | −0.166210 | + | 0.942623i | ||||
\(424\) | −8.30150 | − | 6.96578i | −0.403156 | − | 0.338288i | ||||
\(425\) | −3.32024 | − | 1.20847i | −0.161055 | − | 0.0586193i | ||||
\(426\) | 3.58993 | + | 1.30663i | 0.173933 | + | 0.0633063i | ||||
\(427\) | 20.5229 | + | 17.2208i | 0.993173 | + | 0.833371i | ||||
\(428\) | −3.43560 | + | 19.4842i | −0.166066 | + | 0.941806i | ||||
\(429\) | 1.47103 | − | 8.34264i | 0.0710221 | − | 0.402786i | ||||
\(430\) | −2.00760 | − | 3.47727i | −0.0968151 | − | 0.167689i | ||||
\(431\) | −4.18063 | + | 3.50797i | −0.201374 | + | 0.168973i | −0.737898 | − | 0.674912i | \(-0.764181\pi\) |
0.536524 | + | 0.843885i | \(0.319737\pi\) | |||||||
\(432\) | −3.00532 | + | 1.09385i | −0.144593 | + | 0.0526277i | ||||
\(433\) | 7.18721 | − | 12.4486i | 0.345395 | − | 0.598243i | −0.640030 | − | 0.768350i | \(-0.721078\pi\) |
0.985426 | + | 0.170107i | \(0.0544114\pi\) | |||||||
\(434\) | 1.07363 | + | 1.85959i | 0.0515360 | + | 0.0892630i | ||||
\(435\) | 3.88732 | + | 3.26185i | 0.186383 | + | 0.156394i | ||||
\(436\) | −10.1562 | + | 17.5911i | −0.486396 | + | 0.842462i | ||||
\(437\) | −6.42917 | − | 36.4617i | −0.307549 | − | 1.74420i | ||||
\(438\) | 2.46532 | 0.117798 | ||||||||
\(439\) | −4.77357 | − | 27.0723i | −0.227830 | − | 1.29209i | −0.857200 | − | 0.514984i | \(-0.827798\pi\) |
0.629370 | − | 0.777106i | \(-0.283313\pi\) | |||||||
\(440\) | −2.43115 | + | 2.03998i | −0.115901 | + | 0.0972522i | ||||
\(441\) | 7.94466 | + | 2.89162i | 0.378317 | + | 0.137696i | ||||
\(442\) | −15.7493 | + | 5.73228i | −0.749118 | + | 0.272657i | ||||
\(443\) | −21.2054 | −1.00750 | −0.503750 | − | 0.863850i | \(-0.668047\pi\) | ||||
−0.503750 | + | 0.863850i | \(0.668047\pi\) | |||||||
\(444\) | 1.75459 | + | 2.93906i | 0.0832694 | + | 0.139482i | ||||
\(445\) | −11.8006 | −0.559403 | ||||||||
\(446\) | 13.7373 | − | 4.99996i | 0.650479 | − | 0.236755i | ||||
\(447\) | 3.07231 | + | 1.11823i | 0.145315 | + | 0.0528905i | ||||
\(448\) | −2.44064 | + | 2.04794i | −0.115309 | + | 0.0967560i | ||||
\(449\) | −0.830899 | − | 4.71226i | −0.0392125 | − | 0.222385i | 0.958904 | − | 0.283730i | \(-0.0915721\pi\) |
−0.998117 | + | 0.0613451i | \(0.980461\pi\) | |||||||
\(450\) | −2.68333 | −0.126494 | ||||||||
\(451\) | −3.20262 | − | 18.1630i | −0.150805 | − | 0.855260i | ||||
\(452\) | 8.45079 | − | 14.6372i | 0.397492 | − | 0.688476i | ||||
\(453\) | −0.327193 | − | 0.274547i | −0.0153728 | − | 0.0128993i | ||||
\(454\) | 4.38747 | + | 7.59932i | 0.205914 | + | 0.356654i | ||||
\(455\) | 7.55634 | − | 13.0880i | 0.354247 | − | 0.613573i | ||||
\(456\) | 3.17799 | − | 1.15669i | 0.148823 | − | 0.0541671i | ||||
\(457\) | 6.92025 | − | 5.80678i | 0.323716 | − | 0.271630i | −0.466418 | − | 0.884565i | \(-0.654456\pi\) |
0.790133 | + | 0.612935i | \(0.210011\pi\) | |||||||
\(458\) | 10.5231 | + | 18.2265i | 0.491711 | + | 0.851669i | ||||
\(459\) | 1.96227 | − | 11.1286i | 0.0915907 | − | 0.519437i | ||||
\(460\) | −1.06977 | + | 6.06696i | −0.0498782 | + | 0.282873i | ||||
\(461\) | −27.4929 | − | 23.0693i | −1.28047 | − | 1.07444i | −0.993179 | − | 0.116601i | \(-0.962800\pi\) |
−0.287293 | − | 0.957843i | \(-0.592755\pi\) | |||||||
\(462\) | 5.34681 | + | 1.94608i | 0.248756 | + | 0.0905398i | ||||
\(463\) | −27.1325 | − | 9.87541i | −1.26095 | − | 0.458949i | −0.376864 | − | 0.926269i | \(-0.622998\pi\) |
−0.884089 | + | 0.467319i | \(0.845220\pi\) | |||||||
\(464\) | −6.90795 | − | 5.79646i | −0.320693 | − | 0.269094i | ||||
\(465\) | −0.0658579 | + | 0.373499i | −0.00305409 | + | 0.0173206i | ||||
\(466\) | 2.00849 | − | 11.3907i | 0.0930417 | − | 0.527666i | ||||
\(467\) | 0.661683 | + | 1.14607i | 0.0306190 | + | 0.0530337i | 0.880929 | − | 0.473249i | \(-0.156919\pi\) |
−0.850310 | + | 0.526282i | \(0.823585\pi\) | |||||||
\(468\) | −9.75037 | + | 8.18153i | −0.450711 | + | 0.378191i | ||||
\(469\) | −20.9680 | + | 7.63172i | −0.968211 | + | 0.352400i | ||||
\(470\) | −3.66819 | + | 6.35349i | −0.169201 | + | 0.293065i | ||||
\(471\) | 0.931724 | + | 1.61379i | 0.0429316 | + | 0.0743597i | ||||
\(472\) | 0.583610 | + | 0.489707i | 0.0268628 | + | 0.0225406i | ||||
\(473\) | 6.37141 | − | 11.0356i | 0.292958 | − | 0.507418i | ||||
\(474\) | 0.802911 | + | 4.55353i | 0.0368789 | + | 0.209151i | ||||
\(475\) | 6.00987 | 0.275752 | ||||||||
\(476\) | −1.95480 | − | 11.0862i | −0.0895982 | − | 0.508137i | ||||
\(477\) | 22.2757 | − | 18.6915i | 1.01993 | − | 0.855826i | ||||
\(478\) | 11.0375 | + | 4.01733i | 0.504844 | + | 0.183748i | ||||
\(479\) | 14.5189 | − | 5.28445i | 0.663386 | − | 0.241453i | 0.0116883 | − | 0.999932i | \(-0.496279\pi\) |
0.651697 | + | 0.758479i | \(0.274057\pi\) | |||||||
\(480\) | −0.562732 | −0.0256851 | ||||||||
\(481\) | 22.3713 | + | 18.2217i | 1.02004 | + | 0.830836i | ||||
\(482\) | −26.4050 | −1.20272 | ||||||||
\(483\) | 10.3790 | − | 3.77765i | 0.472262 | − | 0.171889i | ||||
\(484\) | 0.872016 | + | 0.317388i | 0.0396371 | + | 0.0144267i | ||||
\(485\) | −6.20331 | + | 5.20519i | −0.281678 | + | 0.236356i | ||||
\(486\) | −2.27684 | − | 12.9126i | −0.103280 | − | 0.585728i | ||||
\(487\) | 7.71991 | 0.349823 | 0.174911 | − | 0.984584i | \(-0.444036\pi\) | ||||
0.174911 | + | 0.984584i | \(0.444036\pi\) | |||||||
\(488\) | −1.46018 | − | 8.28108i | −0.0660992 | − | 0.374867i | ||||
\(489\) | 3.27438 | − | 5.67140i | 0.148073 | − | 0.256469i | ||||
\(490\) | 2.41362 | + | 2.02527i | 0.109036 | + | 0.0914923i | ||||
\(491\) | 14.0065 | + | 24.2599i | 0.632103 | + | 1.09484i | 0.987121 | + | 0.159976i | \(0.0511416\pi\) |
−0.355018 | + | 0.934860i | \(0.615525\pi\) | |||||||
\(492\) | 1.63511 | − | 2.83210i | 0.0737166 | − | 0.127681i | ||||
\(493\) | 29.9409 | − | 10.8976i | 1.34847 | − | 0.490802i | ||||
\(494\) | 21.8379 | − | 18.3242i | 0.982535 | − | 0.824445i | ||||
\(495\) | −4.25797 | − | 7.37503i | −0.191382 | − | 0.331483i | ||||
\(496\) | 0.117032 | − | 0.663724i | 0.00525491 | − | 0.0298021i | ||||
\(497\) | −3.75594 | + | 21.3010i | −0.168477 | + | 0.955479i | ||||
\(498\) | −5.20404 | − | 4.36670i | −0.233198 | − | 0.195677i | ||||
\(499\) | 33.2363 | + | 12.0970i | 1.48786 | + | 0.541537i | 0.952885 | − | 0.303332i | \(-0.0980990\pi\) |
0.534974 | + | 0.844868i | \(0.320321\pi\) | |||||||
\(500\) | −0.939693 | − | 0.342020i | −0.0420243 | − | 0.0152956i | ||||
\(501\) | 3.61236 | + | 3.03113i | 0.161388 | + | 0.135421i | ||||
\(502\) | −0.696762 | + | 3.95154i | −0.0310980 | + | 0.176366i | ||||
\(503\) | 0.811504 | − | 4.60227i | 0.0361832 | − | 0.205205i | −0.961357 | − | 0.275306i | \(-0.911221\pi\) |
0.997540 | + | 0.0701006i | \(0.0223320\pi\) | |||||||
\(504\) | −4.27458 | − | 7.40380i | −0.190405 | − | 0.329791i | ||||
\(505\) | 1.70519 | − | 1.43083i | 0.0758802 | − | 0.0636710i | ||||
\(506\) | −18.3723 | + | 6.68697i | −0.816749 | + | 0.297272i | ||||
\(507\) | 2.67301 | − | 4.62979i | 0.118713 | − | 0.205616i | ||||
\(508\) | −6.05316 | − | 10.4844i | −0.268565 | − | 0.465169i | ||||
\(509\) | −25.0946 | − | 21.0569i | −1.11230 | − | 0.933330i | −0.114110 | − | 0.993468i | \(-0.536402\pi\) |
−0.998190 | + | 0.0601376i | \(0.980846\pi\) | |||||||
\(510\) | 0.994156 | − | 1.72193i | 0.0440220 | − | 0.0762483i | ||||
\(511\) | 2.42377 | + | 13.7459i | 0.107221 | + | 0.608082i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.33764 | + | 18.9287i | 0.147361 | + | 0.835723i | ||||
\(514\) | 3.94059 | − | 3.30654i | 0.173812 | − | 0.145845i | ||||
\(515\) | 0.642924 | + | 0.234005i | 0.0283306 | + | 0.0103115i | ||||
\(516\) | 2.12322 | − | 0.772788i | 0.0934694 | − | 0.0340201i | ||||
\(517\) | −23.2831 | −1.02399 | ||||||||
\(518\) | −14.6623 | + | 12.6726i | −0.644224 | + | 0.556803i | ||||
\(519\) | 10.6089 | 0.465680 | ||||||||
\(520\) | −4.45737 | + | 1.62235i | −0.195468 | + | 0.0711447i | ||||
\(521\) | −31.1001 | − | 11.3195i | −1.36252 | − | 0.495917i | −0.445688 | − | 0.895188i | \(-0.647041\pi\) |
−0.916833 | + | 0.399271i | \(0.869263\pi\) | |||||||
\(522\) | 18.5363 | − | 15.5538i | 0.811313 | − | 0.680772i | ||||
\(523\) | 4.33496 | + | 24.5848i | 0.189554 | + | 1.07502i | 0.919963 | + | 0.392006i | \(0.128219\pi\) |
−0.730408 | + | 0.683011i | \(0.760670\pi\) | |||||||
\(524\) | 9.51940 | 0.415857 | ||||||||
\(525\) | 0.311330 | + | 1.76564i | 0.0135876 | + | 0.0770588i | ||||
\(526\) | 15.8697 | − | 27.4872i | 0.691954 | − | 1.19850i | ||||
\(527\) | 1.82420 | + | 1.53069i | 0.0794636 | + | 0.0666779i | ||||
\(528\) | −0.892955 | − | 1.54664i | −0.0388609 | − | 0.0673090i | ||||
\(529\) | −7.47621 | + | 12.9492i | −0.325052 | + | 0.563007i | ||||
\(530\) | 10.1833 | − | 3.70642i | 0.442334 | − | 0.160996i | ||||
\(531\) | −1.56602 | + | 1.31405i | −0.0679595 | + | 0.0570248i | ||||
\(532\) | 9.57380 | + | 16.5823i | 0.415077 | + | 0.718935i | ||||
\(533\) | 4.78673 | − | 27.1469i | 0.207337 | − | 1.17586i | ||||
\(534\) | 1.15313 | − | 6.53970i | 0.0499006 | − | 0.283001i | ||||
\(535\) | −15.1560 | − | 12.7174i | −0.655253 | − | 0.549822i | ||||
\(536\) | 6.58123 | + | 2.39537i | 0.284266 | + | 0.103464i | ||||
\(537\) | 8.50671 | + | 3.09619i | 0.367092 | + | 0.133610i | ||||
\(538\) | −22.3517 | − | 18.7553i | −0.963651 | − | 0.808600i | ||||
\(539\) | −1.73638 | + | 9.84747i | −0.0747910 | + | 0.424161i | ||||
\(540\) | 0.555360 | − | 3.14960i | 0.0238989 | − | 0.135537i | ||||
\(541\) | 11.0639 | + | 19.1632i | 0.475673 | + | 0.823890i | 0.999612 | − | 0.0278661i | \(-0.00887120\pi\) |
−0.523939 | + | 0.851756i | \(0.675538\pi\) | |||||||
\(542\) | −22.7024 | + | 19.0496i | −0.975151 | + | 0.818249i | ||||
\(543\) | −5.34024 | + | 1.94369i | −0.229171 | + | 0.0834116i | ||||
\(544\) | −1.76666 | + | 3.05995i | −0.0757450 | + | 0.131194i | ||||
\(545\) | −10.1562 | − | 17.5911i | −0.435046 | − | 0.753521i | ||||
\(546\) | 6.51474 | + | 5.46651i | 0.278805 | + | 0.233945i | ||||
\(547\) | −14.5447 | + | 25.1922i | −0.621887 | + | 1.07714i | 0.367247 | + | 0.930124i | \(0.380301\pi\) |
−0.989134 | + | 0.147017i | \(0.953033\pi\) | |||||||
\(548\) | 1.90643 | + | 10.8119i | 0.0814386 | + | 0.461862i | ||||
\(549\) | 22.5637 | 0.962995 | ||||||||
\(550\) | −0.551098 | − | 3.12543i | −0.0234989 | − | 0.133269i | ||||
\(551\) | −41.5159 | + | 34.8360i | −1.76864 | + | 1.48406i | ||||
\(552\) | −3.25767 | − | 1.18569i | −0.138656 | − | 0.0504665i | ||||
\(553\) | −24.5998 | + | 8.95358i | −1.04609 | + | 0.380745i | ||||
\(554\) | −13.2211 | −0.561711 | ||||||||
\(555\) | −3.42260 | + | 0.0499935i | −0.145281 | + | 0.00212210i | ||||
\(556\) | 18.2303 | 0.773136 | ||||||||
\(557\) | 13.5863 | − | 4.94502i | 0.575672 | − | 0.209527i | −0.0377441 | − | 0.999287i | \(-0.512017\pi\) |
0.613416 | + | 0.789760i | \(0.289795\pi\) | |||||||
\(558\) | 1.69940 | + | 0.618532i | 0.0719415 | + | 0.0261846i | ||||
\(559\) | 14.5899 | − | 12.2424i | 0.617089 | − | 0.517799i | ||||
\(560\) | −0.553248 | − | 3.13762i | −0.0233790 | − | 0.132589i | ||||
\(561\) | 6.31020 | 0.266417 | ||||||||
\(562\) | −4.00787 | − | 22.7298i | −0.169062 | − | 0.958798i | ||||
\(563\) | −0.752545 | + | 1.30345i | −0.0317160 | + | 0.0549337i | −0.881448 | − | 0.472282i | \(-0.843431\pi\) |
0.849732 | + | 0.527215i | \(0.176764\pi\) | |||||||
\(564\) | −3.16255 | − | 2.65369i | −0.133167 | − | 0.111741i | ||||
\(565\) | 8.45079 | + | 14.6372i | 0.355527 | + | 0.615791i | ||||
\(566\) | −0.0881049 | + | 0.152602i | −0.00370333 | + | 0.00641435i | ||||
\(567\) | 18.7126 | − | 6.81083i | 0.785855 | − | 0.286028i | ||||
\(568\) | 5.20059 | − | 4.36381i | 0.218212 | − | 0.183102i | ||||
\(569\) | 1.94587 | + | 3.37034i | 0.0815750 | + | 0.141292i | 0.903927 | − | 0.427688i | \(-0.140672\pi\) |
−0.822352 | + | 0.568980i | \(0.807338\pi\) | |||||||
\(570\) | −0.587269 | + | 3.33057i | −0.0245980 | + | 0.139502i | ||||
\(571\) | 6.82532 | − | 38.7083i | 0.285631 | − | 1.61989i | −0.417392 | − | 0.908727i | \(-0.637056\pi\) |
0.703023 | − | 0.711167i | \(-0.251833\pi\) | |||||||
\(572\) | −11.5320 | − | 9.67650i | −0.482177 | − | 0.404595i | ||||
\(573\) | −5.02724 | − | 1.82977i | −0.210016 | − | 0.0764396i | ||||
\(574\) | 17.3985 | + | 6.33254i | 0.726199 | + | 0.264315i | ||||
\(575\) | −4.71926 | − | 3.95993i | −0.196807 | − | 0.165140i | ||||
\(576\) | −0.465956 | + | 2.64257i | −0.0194148 | + | 0.110107i | ||||
\(577\) | 3.13045 | − | 17.7537i | 0.130322 | − | 0.739095i | −0.847681 | − | 0.530506i | \(-0.822002\pi\) |
0.978003 | − | 0.208589i | \(-0.0668871\pi\) | |||||||
\(578\) | 2.25782 | + | 3.91066i | 0.0939129 | + | 0.162662i | ||||
\(579\) | 1.13120 | − | 0.949186i | 0.0470109 | − | 0.0394468i | ||||
\(580\) | 8.47385 | − | 3.08423i | 0.351858 | − | 0.128066i | ||||
\(581\) | 19.2311 | − | 33.3092i | 0.797841 | − | 1.38190i | ||||
\(582\) | −2.27846 | − | 3.94640i | −0.0944450 | − | 0.163584i | ||||
\(583\) | 26.3460 | + | 22.1069i | 1.09114 | + | 0.915575i | ||||
\(584\) | 2.19049 | − | 3.79405i | 0.0906433 | − | 0.156999i | ||||
\(585\) | −2.21023 | − | 12.5348i | −0.0913817 | − | 0.518251i | ||||
\(586\) | −21.3482 | −0.881886 | ||||||||
\(587\) | 3.11790 | + | 17.6825i | 0.128690 | + | 0.729835i | 0.979048 | + | 0.203631i | \(0.0652742\pi\) |
−0.850358 | + | 0.526204i | \(0.823615\pi\) | |||||||
\(588\) | −1.35822 | + | 1.13968i | −0.0560121 | + | 0.0469997i | ||||
\(589\) | −3.80616 | − | 1.38533i | −0.156830 | − | 0.0570815i | ||||
\(590\) | −0.715904 | + | 0.260568i | −0.0294733 | + | 0.0107274i | ||||
\(591\) | 5.98892 | 0.246351 | ||||||||
\(592\) | 6.08211 | − | 0.0888407i | 0.249973 | − | 0.00365133i | ||||
\(593\) | −4.67650 | −0.192041 | −0.0960205 | − | 0.995379i | \(-0.530611\pi\) | ||||
−0.0960205 | + | 0.995379i | \(0.530611\pi\) | |||||||
\(594\) | 9.53781 | − | 3.47148i | 0.391341 | − | 0.142436i | ||||
\(595\) | 10.5784 | + | 3.85021i | 0.433670 | + | 0.157843i | ||||
\(596\) | 4.45074 | − | 3.73461i | 0.182309 | − | 0.152976i | ||||
\(597\) | −0.624507 | − | 3.54176i | −0.0255594 | − | 0.144954i | ||||
\(598\) | −29.2221 | −1.19498 | ||||||||
\(599\) | −1.26147 | − | 7.15413i | −0.0515421 | − | 0.292310i | 0.948131 | − | 0.317880i | \(-0.102971\pi\) |
−0.999673 | + | 0.0255703i | \(0.991860\pi\) | |||||||
\(600\) | 0.281366 | − | 0.487340i | 0.0114867 | − | 0.0198956i | ||||
\(601\) | 5.15286 | + | 4.32376i | 0.210190 | + | 0.176370i | 0.741805 | − | 0.670616i | \(-0.233970\pi\) |
−0.531615 | + | 0.846986i | \(0.678415\pi\) | |||||||
\(602\) | 6.39627 | + | 11.0787i | 0.260692 | + | 0.451532i | ||||
\(603\) | −9.39650 | + | 16.2752i | −0.382655 | + | 0.662778i | ||||
\(604\) | −0.713237 | + | 0.259597i | −0.0290212 | + | 0.0105629i | ||||
\(605\) | −0.710874 | + | 0.596494i | −0.0289011 | + | 0.0242509i | ||||
\(606\) | 0.626313 | + | 1.08481i | 0.0254422 | + | 0.0440672i | ||||
\(607\) | −3.78274 | + | 21.4530i | −0.153537 | + | 0.870750i | 0.806575 | + | 0.591132i | \(0.201319\pi\) |
−0.960111 | + | 0.279618i | \(0.909792\pi\) | |||||||
\(608\) | 1.04360 | − | 5.91857i | 0.0423237 | − | 0.240030i | ||||
\(609\) | −12.3851 | − | 10.3923i | −0.501870 | − | 0.421119i | ||||
\(610\) | 7.90172 | + | 2.87599i | 0.319931 | + | 0.116445i | ||||
\(611\) | −32.7009 | − | 11.9022i | −1.32294 | − | 0.481510i | ||||
\(612\) | −7.26293 | − | 6.09432i | −0.293586 | − | 0.246348i | ||||
\(613\) | 2.75313 | − | 15.6138i | 0.111198 | − | 0.630635i | −0.877365 | − | 0.479824i | \(-0.840701\pi\) |
0.988563 | − | 0.150811i | \(-0.0481884\pi\) | |||||||
\(614\) | 3.91104 | − | 22.1806i | 0.157837 | − | 0.895136i | ||||
\(615\) | 1.63511 | + | 2.83210i | 0.0659342 | + | 0.114201i | ||||
\(616\) | 7.74571 | − | 6.49943i | 0.312084 | − | 0.261869i | ||||
\(617\) | 11.5123 | − | 4.19014i | 0.463469 | − | 0.168689i | −0.0997228 | − | 0.995015i | \(-0.531796\pi\) |
0.563191 | + | 0.826326i | \(0.309573\pi\) | |||||||
\(618\) | −0.192506 | + | 0.333431i | −0.00774374 | + | 0.0134126i | ||||
\(619\) | −12.9787 | − | 22.4798i | −0.521659 | − | 0.903540i | −0.999683 | − | 0.0251932i | \(-0.991980\pi\) |
0.478023 | − | 0.878347i | \(-0.341353\pi\) | |||||||
\(620\) | 0.516286 | + | 0.433215i | 0.0207345 | + | 0.0173983i | ||||
\(621\) | 9.85131 | − | 17.0630i | 0.395320 | − | 0.684714i | ||||
\(622\) | 1.83992 | + | 10.4347i | 0.0737743 | + | 0.418395i | ||||
\(623\) | 37.5971 | 1.50630 | ||||||||
\(624\) | −0.463515 | − | 2.62873i | −0.0185555 | − | 0.105233i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | −0.733085 | − | 0.266821i | −0.0293000 | − | 0.0106643i | ||||
\(627\) | −10.0858 | + | 3.67093i | −0.402788 | + | 0.146603i | ||||
\(628\) | 3.31143 | 0.132141 | ||||||||
\(629\) | −10.4732 | + | 18.7679i | −0.417593 | + | 0.748325i | ||||
\(630\) | 8.54917 | 0.340607 | ||||||||
\(631\) | −27.9453 | + | 10.1712i | −1.11248 | + | 0.404911i | −0.831904 | − | 0.554920i | \(-0.812749\pi\) |
−0.280579 | + | 0.959831i | \(0.590527\pi\) | |||||||
\(632\) | 7.72114 | + | 2.81027i | 0.307131 | + | 0.111786i | ||||
\(633\) | 3.55633 | − | 2.98412i | 0.141351 | − | 0.118608i | ||||
\(634\) | −3.22905 | − | 18.3128i | −0.128242 | − | 0.727296i | ||||
\(635\) | 12.1063 | 0.480424 | ||||||||
\(636\) | 1.05895 | + | 6.00558i | 0.0419900 | + | 0.238137i | ||||
\(637\) | −7.47270 | + | 12.9431i | −0.296079 | + | 0.512824i | ||||
\(638\) | 21.9234 | + | 18.3959i | 0.867955 | + | 0.728301i | ||||
\(639\) | 9.10843 | + | 15.7763i | 0.360324 | + | 0.624099i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −10.3230 | + | 3.75725i | −0.407732 | + | 0.148402i | −0.537740 | − | 0.843111i | \(-0.680722\pi\) |
0.130008 | + | 0.991513i | \(0.458500\pi\) | |||||||
\(642\) | 8.52878 | − | 7.15650i | 0.336604 | − | 0.282445i | ||||
\(643\) | −0.377740 | − | 0.654266i | −0.0148966 | − | 0.0258017i | 0.858481 | − | 0.512845i | \(-0.171409\pi\) |
−0.873378 | + | 0.487044i | \(0.838075\pi\) | |||||||
\(644\) | 3.40831 | − | 19.3295i | 0.134306 | − | 0.761689i | ||||
\(645\) | −0.392355 | + | 2.22515i | −0.0154490 | + | 0.0876154i | ||||
\(646\) | 16.2668 | + | 13.6495i | 0.640009 | + | 0.537031i | ||||
\(647\) | −27.0373 | − | 9.84077i | −1.06295 | − | 0.386881i | −0.249412 | − | 0.968398i | \(-0.580237\pi\) |
−0.813534 | + | 0.581517i | \(0.802459\pi\) | |||||||
\(648\) | −5.87334 | − | 2.13772i | −0.230726 | − | 0.0839776i | ||||
\(649\) | −1.85217 | − | 1.55416i | −0.0727040 | − | 0.0610059i | ||||
\(650\) | 0.823688 | − | 4.67137i | 0.0323077 | − | 0.183226i | ||||
\(651\) | 0.209825 | − | 1.18998i | 0.00822369 | − | 0.0466388i | ||||
\(652\) | −5.81873 | − | 10.0783i | −0.227879 | − | 0.394698i | ||||
\(653\) | −15.4821 | + | 12.9910i | −0.605863 | + | 0.508379i | −0.893324 | − | 0.449413i | \(-0.851633\pi\) |
0.287461 | + | 0.957792i | \(0.407189\pi\) | |||||||
\(654\) | 10.7411 | − | 3.90945i | 0.420012 | − | 0.152872i | ||||
\(655\) | −4.75970 | + | 8.24404i | −0.185977 | + | 0.322121i | ||||
\(656\) | −2.90567 | − | 5.03277i | −0.113447 | − | 0.196497i | ||||
\(657\) | 9.00535 | + | 7.55639i | 0.351332 | + | 0.294803i | ||||
\(658\) | 11.6870 | − | 20.2424i | 0.455605 | − | 0.789131i | ||||
\(659\) | 0.953433 | + | 5.40719i | 0.0371405 | + | 0.210634i | 0.997730 | − | 0.0673352i | \(-0.0214497\pi\) |
−0.960590 | + | 0.277969i | \(0.910339\pi\) | |||||||
\(660\) | 1.78591 | 0.0695165 | ||||||||
\(661\) | −7.58609 | − | 43.0228i | −0.295065 | − | 1.67339i | −0.666940 | − | 0.745112i | \(-0.732396\pi\) |
0.371875 | − | 0.928283i | \(-0.378715\pi\) | |||||||
\(662\) | −7.21962 | + | 6.05798i | −0.280599 | + | 0.235450i | ||||
\(663\) | 8.86263 | + | 3.22573i | 0.344196 | + | 0.125277i | ||||
\(664\) | −11.3441 | + | 4.12892i | −0.440237 | + | 0.160233i | ||||
\(665\) | −19.1476 | −0.742512 | ||||||||
\(666\) | −2.59923 | + | 16.1138i | −0.100718 | + | 0.624397i | ||||
\(667\) | 55.5539 | 2.15106 | ||||||||
\(668\) | 7.87448 | − | 2.86608i | 0.304673 | − | 0.110892i | ||||
\(669\) | −7.73041 | − | 2.81364i | −0.298875 | − | 0.108782i | ||||
\(670\) | −5.36507 | + | 4.50183i | −0.207271 | + | 0.173921i | ||||
\(671\) | 4.63409 | + | 26.2812i | 0.178897 | + | 1.01457i | ||||
\(672\) | 1.79288 | 0.0691618 | ||||||||
\(673\) | −5.55537 | − | 31.5061i | −0.214144 | − | 1.21447i | −0.882386 | − | 0.470527i | \(-0.844064\pi\) |
0.668242 | − | 0.743944i | \(-0.267047\pi\) | |||||||
\(674\) | −2.48767 | + | 4.30878i | −0.0958216 | + | 0.165968i | ||||
\(675\) | 2.44996 | + | 2.05576i | 0.0942989 | + | 0.0791262i | ||||
\(676\) | −4.75006 | − | 8.22734i | −0.182695 | − | 0.316436i | ||||
\(677\) | −14.6543 | + | 25.3819i | −0.563209 | + | 0.975506i | 0.434005 | + | 0.900910i | \(0.357100\pi\) |
−0.997214 | + | 0.0745959i | \(0.976233\pi\) | |||||||
\(678\) | −8.93747 | + | 3.25297i | −0.343241 | + | 0.124930i | ||||
\(679\) | 19.7639 | − | 16.5839i | 0.758468 | − | 0.636431i | ||||
\(680\) | −1.76666 | − | 3.05995i | −0.0677484 | − | 0.117344i | ||||
\(681\) | 0.857463 | − | 4.86292i | 0.0328581 | − | 0.186347i | ||||
\(682\) | −0.371420 | + | 2.10642i | −0.0142224 | + | 0.0806592i | ||||
\(683\) | −9.28446 | − | 7.79059i | −0.355260 | − | 0.298099i | 0.447638 | − | 0.894215i | \(-0.352265\pi\) |
−0.802898 | + | 0.596116i | \(0.796710\pi\) | |||||||
\(684\) | 15.1539 | + | 5.51558i | 0.579426 | + | 0.210894i | ||||
\(685\) | −10.3166 | − | 3.75493i | −0.394177 | − | 0.143469i | ||||
\(686\) | 9.39460 | + | 7.88301i | 0.358688 | + | 0.300975i | ||||
\(687\) | 2.05658 | − | 11.6634i | 0.0784632 | − | 0.444987i | ||||
\(688\) | 0.697232 | − | 3.95420i | 0.0265817 | − | 0.150753i | ||||
\(689\) | 25.7019 | + | 44.5170i | 0.979163 | + | 1.69596i | ||||
\(690\) | 2.65568 | − | 2.22838i | 0.101100 | − | 0.0848328i | ||||
\(691\) | −22.8745 | + | 8.32565i | −0.870188 | + | 0.316722i | −0.738243 | − | 0.674535i | \(-0.764344\pi\) |
−0.131945 | + | 0.991257i | \(0.542122\pi\) | |||||||
\(692\) | 9.42626 | − | 16.3268i | 0.358333 | − | 0.620650i | ||||
\(693\) | 13.5660 | + | 23.4970i | 0.515330 | + | 0.892578i | ||||
\(694\) | −21.5314 | − | 18.0670i | −0.817320 | − | 0.685813i | ||||
\(695\) | −9.11514 | + | 15.7879i | −0.345757 | + | 0.598869i | ||||
\(696\) | 0.881184 | + | 4.99744i | 0.0334012 | + | 0.189428i | ||||
\(697\) | 20.5334 | 0.777756 | ||||||||
\(698\) | 2.61460 | + | 14.8281i | 0.0989641 | + | 0.561253i | ||||
\(699\) | −4.98604 | + | 4.18378i | −0.188589 | + | 0.158245i | ||||
\(700\) | 2.99388 | + | 1.08968i | 0.113158 | + | 0.0411862i | ||||
\(701\) | −9.73910 | + | 3.54474i | −0.367841 | + | 0.133883i | −0.519326 | − | 0.854577i | \(-0.673817\pi\) |
0.151485 | + | 0.988460i | \(0.451595\pi\) | |||||||
\(702\) | 15.1704 | 0.572570 | ||||||||
\(703\) | 5.82151 | − | 36.0901i | 0.219562 | − | 1.36116i | ||||
\(704\) | −3.17364 | −0.119611 | ||||||||
\(705\) | 3.87944 | − | 1.41200i | 0.146108 | − | 0.0531790i | ||||
\(706\) | 20.2345 | + | 7.36476i | 0.761536 | + | 0.277176i | ||||
\(707\) | −5.43279 | + | 4.55865i | −0.204321 | + | 0.171446i | ||||
\(708\) | −0.0744458 | − | 0.422203i | −0.00279785 | − | 0.0158674i | ||||
\(709\) | −22.2713 | −0.836416 | −0.418208 | − | 0.908351i | \(-0.637342\pi\) | ||||
−0.418208 | + | 0.908351i | \(0.637342\pi\) | |||||||
\(710\) | 1.17888 | + | 6.68575i | 0.0442425 | + | 0.250912i | ||||
\(711\) | −11.0240 | + | 19.0942i | −0.413433 | + | 0.716088i | ||||
\(712\) | −9.03981 | − | 7.58530i | −0.338781 | − | 0.284271i | ||||
\(713\) | 2.07599 | + | 3.59573i | 0.0777466 | + | 0.134661i | ||||
\(714\) | −3.16741 | + | 5.48611i | −0.118537 | + | 0.205312i | ||||
\(715\) | 14.1461 | − | 5.14876i | 0.529034 | − | 0.192553i | ||||
\(716\) | 12.3233 | − | 10.3405i | 0.460545 | − | 0.386443i | ||||
\(717\) | −3.30489 | − | 5.72423i | −0.123423 | − | 0.213775i | ||||
\(718\) | 4.05066 | − | 22.9725i | 0.151169 | − | 0.857325i | ||||
\(719\) | 0.882478 | − | 5.00478i | 0.0329109 | − | 0.186647i | −0.963921 | − | 0.266190i | \(-0.914235\pi\) |
0.996831 | + | 0.0795434i | \(0.0253462\pi\) | |||||||
\(720\) | −2.05555 | − | 1.72481i | −0.0766059 | − | 0.0642800i | ||||
\(721\) | −2.04837 | − | 0.745546i | −0.0762853 | − | 0.0277656i | ||||
\(722\) | −16.0862 | − | 5.85490i | −0.598666 | − | 0.217897i | ||||
\(723\) | 11.3826 | + | 9.55115i | 0.423324 | + | 0.355211i | ||||
\(724\) | −1.75365 | + | 9.94546i | −0.0651740 | + | 0.369620i | ||||
\(725\) | −1.56590 | + | 8.88069i | −0.0581562 | + | 0.329820i | ||||
\(726\) | −0.261102 | − | 0.452242i | −0.00969040 | − | 0.0167843i | ||||
\(727\) | −10.7862 | + | 9.05067i | −0.400037 | + | 0.335671i | −0.820508 | − | 0.571635i | \(-0.806309\pi\) |
0.420471 | + | 0.907306i | \(0.361865\pi\) | |||||||
\(728\) | 14.2013 | − | 5.16884i | 0.526334 | − | 0.191570i | ||||
\(729\) | 5.68620 | − | 9.84879i | 0.210600 | − | 0.364770i | ||||
\(730\) | 2.19049 | + | 3.79405i | 0.0810738 | + | 0.140424i | ||||
\(731\) | 10.8679 | + | 9.11923i | 0.401963 | + | 0.337287i | ||||
\(732\) | −2.36596 | + | 4.09796i | −0.0874483 | + | 0.151465i | ||||
\(733\) | −1.04067 | − | 5.90192i | −0.0384379 | − | 0.217992i | 0.959539 | − | 0.281577i | \(-0.0908576\pi\) |
−0.997976 | + | 0.0635852i | \(0.979747\pi\) | |||||||
\(734\) | −23.7844 | −0.877898 | ||||||||
\(735\) | −0.307884 | − | 1.74609i | −0.0113565 | − | 0.0644057i | ||||
\(736\) | −4.71926 | + | 3.95993i | −0.173954 | + | 0.145965i | ||||
\(737\) | −20.8865 | − | 7.60206i | −0.769364 | − | 0.280026i | ||||
\(738\) | 14.6534 | − | 5.33339i | 0.539398 | − | 0.196325i | ||||
\(739\) | −29.1927 | −1.07387 | −0.536936 | − | 0.843623i | \(-0.680418\pi\) | ||||
−0.536936 | + | 0.843623i | \(0.680418\pi\) | |||||||
\(740\) | −2.96412 | + | 5.31169i | −0.108963 | + | 0.195261i | ||||
\(741\) | −16.0420 | −0.589318 | ||||||||
\(742\) | −32.4442 | + | 11.8087i | −1.19106 | + | 0.433512i | ||||
\(743\) | −0.822709 | − | 0.299441i | −0.0301823 | − | 0.0109854i | 0.326885 | − | 0.945064i | \(-0.394001\pi\) |
−0.357067 | + | 0.934079i | \(0.616223\pi\) | |||||||
\(744\) | −0.290530 | + | 0.243784i | −0.0106514 | + | 0.00893755i | ||||
\(745\) | 1.00890 | + | 5.72176i | 0.0369633 | + | 0.209629i | ||||
\(746\) | 25.2131 | 0.923116 | ||||||||
\(747\) | −5.62509 | − | 31.9015i | −0.205811 | − | 1.16721i | ||||
\(748\) | 5.60675 | − | 9.71118i | 0.205003 | − | 0.355076i | ||||
\(749\) | 48.2875 | + | 40.5180i | 1.76439 | + | 1.48050i | ||||
\(750\) | 0.281366 | + | 0.487340i | 0.0102740 | + | 0.0177951i | ||||
\(751\) | −9.00831 | + | 15.6029i | −0.328718 | + | 0.569356i | −0.982258 | − | 0.187536i | \(-0.939950\pi\) |
0.653540 | + | 0.756892i | \(0.273283\pi\) | |||||||
\(752\) | −6.89394 | + | 2.50919i | −0.251396 | + | 0.0915008i | ||||
\(753\) | 1.72970 | − | 1.45139i | 0.0630336 | − | 0.0528915i | ||||
\(754\) | 21.3874 | + | 37.0440i | 0.778882 | + | 1.34906i | ||||
\(755\) | 0.131801 | − | 0.747480i | 0.00479672 | − | 0.0272036i | ||||
\(756\) | −1.76939 | + | 10.0347i | −0.0643521 | + | 0.364959i | ||||
\(757\) | 23.8543 | + | 20.0161i | 0.867000 | + | 0.727499i | 0.963464 | − | 0.267837i | \(-0.0863090\pi\) |
−0.0964645 | + | 0.995336i | \(0.530753\pi\) | |||||||
\(758\) | −10.0621 | − | 3.66231i | −0.365473 | − | 0.133021i | ||||
\(759\) | 10.3387 | + | 3.76297i | 0.375270 | + | 0.136587i | ||||
\(760\) | 4.60383 | + | 3.86307i | 0.166998 | + | 0.140128i | ||||
\(761\) | 6.16957 | − | 34.9894i | 0.223647 | − | 1.26836i | −0.641609 | − | 0.767032i | \(-0.721733\pi\) |
0.865255 | − | 0.501331i | \(-0.167156\pi\) | |||||||
\(762\) | −1.18300 | + | 6.70911i | −0.0428554 | + | 0.243045i | ||||
\(763\) | 32.3581 | + | 56.0458i | 1.17144 | + | 2.02899i | ||||
\(764\) | −7.28277 | + | 6.11097i | −0.263481 | + | 0.221087i | ||||
\(765\) | 8.90930 | − | 3.24272i | 0.322116 | − | 0.117241i | ||||
\(766\) | −2.83549 | + | 4.91122i | −0.102451 | + | 0.177450i | ||||
\(767\) | −1.80689 | − | 3.12962i | −0.0652429 | − | 0.113004i | ||||
\(768\) | −0.431077 | − | 0.361717i | −0.0155552 | − | 0.0130523i | ||||
\(769\) | −11.1357 | + | 19.2876i | −0.401564 | + | 0.695528i | −0.993915 | − | 0.110151i | \(-0.964866\pi\) |
0.592351 | + | 0.805680i | \(0.298200\pi\) | |||||||
\(770\) | 1.75581 | + | 9.95770i | 0.0632750 | + | 0.358851i | ||||
\(771\) | −2.89473 | −0.104251 | ||||||||
\(772\) | −0.455672 | − | 2.58425i | −0.0164000 | − | 0.0930091i | ||||
\(773\) | −3.58292 | + | 3.00643i | −0.128869 | + | 0.108134i | −0.704944 | − | 0.709263i | \(-0.749028\pi\) |
0.576075 | + | 0.817397i | \(0.304583\pi\) | |||||||
\(774\) | 10.1244 | + | 3.68497i | 0.363913 | + | 0.132453i | ||||
\(775\) | −0.633318 | + | 0.230509i | −0.0227495 | + | 0.00828013i | ||||
\(776\) | −8.09784 | −0.290696 | ||||||||
\(777\) | 10.9045 | − | 0.159280i | 0.391196 | − | 0.00571415i | ||||
\(778\) | 11.1701 | 0.400467 | ||||||||
\(779\) | −32.8192 | + | 11.9452i | −1.17587 | + | 0.427982i | ||||
\(780\) | 2.50830 | + | 0.912947i | 0.0898116 | + | 0.0326887i | ||||
\(781\) | −16.5048 | + | 13.8492i | −0.590589 | + | 0.495563i | ||||
\(782\) | −3.77984 | − | 21.4365i | −0.135167 | − | 0.766569i | ||||
\(783\) | −28.8403 | −1.03067 | ||||||||
\(784\) | 0.547123 | + | 3.10289i | 0.0195401 | + | 0.110818i | ||||
\(785\) | −1.65572 | + | 2.86779i | −0.0590951 | + | 0.102356i | ||||
\(786\) | −4.10360 | − | 3.44333i | −0.146370 | − | 0.122819i | ||||
\(787\) | −5.03252 | − | 8.71658i | −0.179390 | − | 0.310712i | 0.762282 | − | 0.647245i | \(-0.224079\pi\) |
−0.941672 | + | 0.336533i | \(0.890746\pi\) | |||||||
\(788\) | 5.32129 | − | 9.21674i | 0.189563 | − | 0.328333i | ||||
\(789\) | −16.7837 | + | 6.10876i | −0.597515 | + | 0.217478i | ||||
\(790\) | −6.29433 | + | 5.28157i | −0.223942 | + | 0.187910i | ||||
\(791\) | −26.9244 | − | 46.6345i | −0.957322 | − | 1.65813i | ||||
\(792\) | 1.47878 | − | 8.38657i | 0.0525461 | − | 0.298004i | ||||
\(793\) | −6.92625 | + | 39.2807i | −0.245958 | + | 1.39490i | ||||
\(794\) | −4.49879 | − | 3.77494i | −0.159656 | − | 0.133967i | ||||
\(795\) | −5.73046 | − | 2.08572i | −0.203239 | − | 0.0739728i | ||||
\(796\) | −6.00553 | − | 2.18584i | −0.212861 | − | 0.0774749i | ||||
\(797\) | 19.1849 | + | 16.0980i | 0.679563 | + | 0.570221i | 0.915879 | − | 0.401455i | \(-0.131496\pi\) |
−0.236316 | + | 0.971676i | \(0.575940\pi\) | |||||||
\(798\) | 1.87105 | − | 10.6113i | 0.0662346 | − | 0.375635i | ||||
\(799\) | 4.50127 | − | 25.5280i | 0.159244 | − | 0.903115i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 24.2568 | − | 20.3539i | 0.857072 | − | 0.719169i | ||||
\(802\) | −7.13690 | + | 2.59762i | −0.252013 | + | 0.0917251i | ||||
\(803\) | −6.95185 | + | 12.0410i | −0.245325 | + | 0.424916i | ||||
\(804\) | −1.97057 | − | 3.41314i | −0.0694968 | − | 0.120372i | ||||
\(805\) | 15.0357 | + | 12.6164i | 0.529938 | + | 0.444671i | ||||
\(806\) | −1.59845 | + | 2.76859i | −0.0563029 | + | 0.0975196i | ||||
\(807\) | 2.85121 | + | 16.1700i | 0.100367 | + | 0.569211i | ||||
\(808\) | 2.22597 | 0.0783095 | ||||||||
\(809\) | −1.05864 | − | 6.00387i | −0.0372200 | − | 0.211085i | 0.960526 | − | 0.278191i | \(-0.0897347\pi\) |
−0.997746 | + | 0.0671056i | \(0.978624\pi\) | |||||||
\(810\) | 4.78799 | − | 4.01760i | 0.168233 | − | 0.141164i | ||||
\(811\) | −1.96640 | − | 0.715713i | −0.0690498 | − | 0.0251321i | 0.307264 | − | 0.951624i | \(-0.400586\pi\) |
−0.376314 | + | 0.926492i | \(0.622809\pi\) | |||||||
\(812\) | −26.9979 | + | 9.82644i | −0.947441 | + | 0.344840i | ||||
\(813\) | 16.6770 | 0.584889 | ||||||||
\(814\) | −19.3025 | + | 0.281949i | −0.676551 | + | 0.00988230i | ||||
\(815\) | 11.6375 | 0.407642 | ||||||||
\(816\) | 1.86840 | − | 0.680043i | 0.0654072 | − | 0.0238063i | ||||
\(817\) | −22.6756 | − | 8.25324i | −0.793318 | − | 0.288744i | ||||
\(818\) | −10.6857 | + | 8.96634i | −0.373616 | + | 0.313501i | ||||
\(819\) | 7.04184 | + | 39.9363i | 0.246062 | + | 1.39549i | ||||
\(820\) | 5.81135 | 0.202941 | ||||||||
\(821\) | −8.47858 | − | 48.0844i | −0.295905 | − | 1.67816i | −0.663503 | − | 0.748174i | \(-0.730931\pi\) |
0.367598 | − | 0.929985i | \(-0.380180\pi\) | |||||||
\(822\) | 3.08903 | − | 5.35036i | 0.107742 | − | 0.186615i | ||||
\(823\) | −34.5184 | − | 28.9644i | −1.20324 | − | 1.00964i | −0.999532 | − | 0.0306035i | \(-0.990257\pi\) |
−0.203705 | − | 0.979032i | \(-0.565298\pi\) | |||||||
\(824\) | 0.342093 | + | 0.592522i | 0.0119174 | + | 0.0206415i | ||||
\(825\) | −0.892955 | + | 1.54664i | −0.0310887 | + | 0.0538472i | ||||
\(826\) | 2.28089 | − | 0.830175i | 0.0793622 | − | 0.0288855i | ||||
\(827\) | −22.0396 | + | 18.4934i | −0.766392 | + | 0.643079i | −0.939782 | − | 0.341774i | \(-0.888972\pi\) |
0.173390 | + | 0.984853i | \(0.444528\pi\) | |||||||
\(828\) | −8.26541 | − | 14.3161i | −0.287243 | − | 0.497519i | ||||
\(829\) | 1.18790 | − | 6.73693i | 0.0412576 | − | 0.233983i | −0.957205 | − | 0.289410i | \(-0.906541\pi\) |
0.998463 | + | 0.0554269i | \(0.0176520\pi\) | |||||||
\(830\) | 2.09631 | − | 11.8888i | 0.0727639 | − | 0.412665i | ||||
\(831\) | 5.69932 | + | 4.78229i | 0.197707 | + | 0.165896i | ||||
\(832\) | −4.45737 | − | 1.62235i | −0.154531 | − | 0.0562448i | ||||
\(833\) | −10.4613 | − | 3.80759i | −0.362461 | − | 0.131925i | ||||
\(834\) | −7.85866 | − | 6.59420i | −0.272123 | − | 0.228339i | ||||
\(835\) | −1.45515 | + | 8.25254i | −0.0503574 | + | 0.285591i | ||||
\(836\) | −3.31203 | + | 18.7834i | −0.114549 | + | 0.649639i | ||||
\(837\) | −1.07773 | − | 1.86669i | −0.0372519 | − | 0.0645221i | ||||
\(838\) | 5.20942 | − | 4.37123i | 0.179957 | − | 0.151001i | ||||
\(839\) | −17.6191 | + | 6.41285i | −0.608281 | + | 0.221396i | −0.627751 | − | 0.778414i | \(-0.716024\pi\) |
0.0194702 | + | 0.999810i | \(0.493802\pi\) | |||||||
\(840\) | −0.896439 | + | 1.55268i | −0.0309301 | + | 0.0535725i | ||||
\(841\) | −26.1593 | − | 45.3093i | −0.902046 | − | 1.56239i | ||||
\(842\) | −24.7038 | − | 20.7290i | −0.851349 | − | 0.714367i | ||||
\(843\) | −6.49404 | + | 11.2480i | −0.223667 | + | 0.387402i | ||||
\(844\) | −1.43257 | − | 8.12453i | −0.0493112 | − | 0.279658i | ||||
\(845\) | 9.50012 | 0.326814 | ||||||||
\(846\) | −3.41843 | − | 19.3869i | −0.117528 | − | 0.666535i | ||||
\(847\) | 2.26486 | − | 1.90044i | 0.0778216 | − | 0.0653000i | ||||
\(848\) | 10.1833 | + | 3.70642i | 0.349696 | + | 0.127279i | ||||
\(849\) | 0.0931789 | − | 0.0339143i | 0.00319789 | − | 0.00116394i | ||||
\(850\) | 3.53332 | 0.121192 | ||||||||
\(851\) | −28.3513 | + | 24.5040i | −0.971869 | + | 0.839986i | ||||
\(852\) | −3.82032 | −0.130882 | ||||||||
\(853\) | −4.18716 | + | 1.52400i | −0.143366 | + | 0.0521808i | −0.412706 | − | 0.910864i | \(-0.635416\pi\) |
0.269341 | + | 0.963045i | \(0.413194\pi\) | |||||||
\(854\) | −25.1751 | − | 9.16297i | −0.861473 | − | 0.313551i | ||||
\(855\) | −12.3536 | + | 10.3659i | −0.422485 | + | 0.354507i | ||||
\(856\) | −3.43560 | − | 19.4842i | −0.117426 | − | 0.665957i | ||||
\(857\) | 23.3982 | 0.799266 | 0.399633 | − | 0.916675i | \(-0.369138\pi\) | ||||
0.399633 | + | 0.916675i | \(0.369138\pi\) | |||||||
\(858\) | 1.47103 | + | 8.34264i | 0.0502202 | + | 0.284813i | ||||
\(859\) | 12.1098 | − | 20.9748i | 0.413182 | − | 0.715652i | −0.582054 | − | 0.813150i | \(-0.697751\pi\) |
0.995236 | + | 0.0974985i | \(0.0310841\pi\) | |||||||
\(860\) | 3.07582 | + | 2.58092i | 0.104885 | + | 0.0880087i | ||||
\(861\) | −5.20952 | − | 9.02315i | −0.177540 | − | 0.307508i | ||||
\(862\) | 2.72871 | − | 4.72627i | 0.0929403 | − | 0.160977i | ||||
\(863\) | −45.3171 | + | 16.4941i | −1.54261 | + | 0.561465i | −0.966670 | − | 0.256025i | \(-0.917587\pi\) |
−0.575942 | + | 0.817490i | \(0.695365\pi\) | |||||||
\(864\) | 2.44996 | − | 2.05576i | 0.0833492 | − | 0.0699383i | ||||
\(865\) | 9.42626 | + | 16.3268i | 0.320502 | + | 0.555127i | ||||
\(866\) | −2.49609 | + | 14.1560i | −0.0848207 | + | 0.481042i | ||||
\(867\) | 0.441256 | − | 2.50249i | 0.0149858 | − | 0.0849889i | ||||
\(868\) | −1.64490 | − | 1.38023i | −0.0558315 | − | 0.0468482i | ||||
\(869\) | −24.5042 | − | 8.91879i | −0.831247 | − | 0.302549i | ||||
\(870\) | −4.76851 | − | 1.73559i | −0.161668 | − | 0.0588422i | ||||
\(871\) | −25.4488 | − | 21.3541i | −0.862301 | − | 0.723556i | ||||
\(872\) | 3.52723 | − | 20.0039i | 0.119447 | − | 0.677417i | ||||
\(873\) | 3.77324 | − | 21.3991i | 0.127705 | − | 0.724249i | ||||
\(874\) | 18.5121 | + | 32.0638i | 0.626180 | + | 1.08458i | ||||
\(875\) | −2.44064 | + | 2.04794i | −0.0825086 | + | 0.0692329i | ||||
\(876\) | −2.31664 | + | 0.843190i | −0.0782722 | + | 0.0284887i | ||||
\(877\) | −14.7055 | + | 25.4707i | −0.496570 | + | 0.860084i | −0.999992 | − | 0.00395646i | \(-0.998741\pi\) |
0.503422 | + | 0.864040i | \(0.332074\pi\) | |||||||
\(878\) | 13.7450 | + | 23.8070i | 0.463870 | + | 0.803446i | ||||
\(879\) | 9.20273 | + | 7.72201i | 0.310400 | + | 0.260457i | ||||
\(880\) | 1.58682 | − | 2.74846i | 0.0534918 | − | 0.0926505i | ||||
\(881\) | 3.87864 | + | 21.9968i | 0.130675 | + | 0.741092i | 0.977775 | + | 0.209659i | \(0.0672353\pi\) |
−0.847100 | + | 0.531433i | \(0.821654\pi\) | |||||||
\(882\) | −8.45453 | −0.284679 | ||||||||
\(883\) | 6.83225 | + | 38.7476i | 0.229924 | + | 1.30396i | 0.853045 | + | 0.521837i | \(0.174753\pi\) |
−0.623122 | + | 0.782125i | \(0.714136\pi\) | |||||||
\(884\) | 12.8390 | − | 10.7732i | 0.431821 | − | 0.362341i | ||||
\(885\) | 0.402862 | + | 0.146630i | 0.0135420 | + | 0.00492890i | ||||
\(886\) | 19.9266 | − | 7.25268i | 0.669446 | − | 0.243658i | ||||
\(887\) | −19.3658 | −0.650239 | −0.325120 | − | 0.945673i | \(-0.605405\pi\) | ||||
−0.325120 | + | 0.945673i | \(0.605405\pi\) | |||||||
\(888\) | −2.65400 | − | 2.16171i | −0.0890623 | − | 0.0725421i | ||||
\(889\) | −38.5710 | −1.29363 | ||||||||
\(890\) | 11.0890 | − | 4.03605i | 0.371703 | − | 0.135289i | ||||
\(891\) | 18.6399 | + | 6.78436i | 0.624460 | + | 0.227285i | ||||
\(892\) | −11.1987 | + | 9.39686i | −0.374962 | + | 0.314630i | ||||
\(893\) | 7.65627 | + | 43.4209i | 0.256207 | + | 1.45302i | ||||
\(894\) | −3.26949 | −0.109348 | ||||||||
\(895\) | 2.79348 | + | 15.8426i | 0.0933756 | + | 0.529559i | ||||
\(896\) | 1.59301 | − | 2.75918i | 0.0532188 | − | 0.0921777i | ||||
\(897\) | 12.5970 | + | 10.5701i | 0.420602 | + | 0.352927i | ||||
\(898\) | 2.39248 | + | 4.14389i | 0.0798380 | + | 0.138284i | ||||
\(899\) | 3.03879 | − | 5.26335i | 0.101349 | − | 0.175542i | ||||
\(900\) | 2.52151 | − | 0.917754i | 0.0840503 | − | 0.0305918i | ||||
\(901\) | −29.3319 | + | 24.6123i | −0.977186 | + | 0.819956i | ||||
\(902\) | 9.22157 | + | 15.9722i | 0.307045 | + | 0.531817i | ||||
\(903\) | 1.25005 | − | 7.08940i | 0.0415991 | − | 0.235920i | ||||
\(904\) | −2.93493 | + | 16.6448i | −0.0976142 | + | 0.553598i | ||||
\(905\) | −7.73619 | − | 6.49144i | −0.257160 | − | 0.215783i | ||||
\(906\) | 0.401361 | + | 0.146083i | 0.0133343 | + | 0.00485330i | ||||
\(907\) | 52.7691 | + | 19.2064i | 1.75217 | + | 0.637738i | 0.999780 | − | 0.0209795i | \(-0.00667846\pi\) |
0.752391 | + | 0.658717i | \(0.228901\pi\) | |||||||
\(908\) | −6.72199 | − | 5.64042i | −0.223077 | − | 0.187184i | ||||
\(909\) | −1.03721 | + | 5.88228i | −0.0344019 | + | 0.195103i | ||||
\(910\) | −2.62429 | + | 14.8831i | −0.0869944 | + | 0.493370i | ||||
\(911\) | 8.31783 | + | 14.4069i | 0.275582 | + | 0.477322i | 0.970282 | − | 0.241978i | \(-0.0777962\pi\) |
−0.694700 | + | 0.719300i | \(0.744463\pi\) | |||||||
\(912\) | −2.59072 | + | 2.17387i | −0.0857873 | + | 0.0719841i | ||||
\(913\) | 36.0022 | − | 13.1037i | 1.19150 | − | 0.433670i | ||||
\(914\) | −4.51687 | + | 7.82345i | −0.149405 | + | 0.258777i | ||||
\(915\) | −2.36596 | − | 4.09796i | −0.0782161 | − | 0.135474i | ||||
\(916\) | −16.1223 | − | 13.5282i | −0.532696 | − | 0.446985i | ||||
\(917\) | 15.1645 | − | 26.2657i | 0.500777 | − | 0.867370i | ||||
\(918\) | 1.96227 | + | 11.1286i | 0.0647644 | + | 0.367297i | ||||
\(919\) | 54.2166 | 1.78844 | 0.894220 | − | 0.447627i | \(-0.147731\pi\) | ||||
0.894220 | + | 0.447627i | \(0.147731\pi\) | |||||||
\(920\) | −1.06977 | − | 6.06696i | −0.0352692 | − | 0.200022i | ||||
\(921\) | −9.70906 | + | 8.14686i | −0.319924 | + | 0.268448i | ||||
\(922\) | 33.7250 | + | 12.2749i | 1.11067 | + | 0.404253i | ||||
\(923\) | −30.2606 | + | 11.0139i | −0.996038 | + | 0.362528i | ||||
\(924\) | −5.68996 | −0.187186 | ||||||||
\(925\) | −3.11800 | − | 5.22284i | −0.102519 | − | 0.171726i | ||||
\(926\) | 28.8738 | 0.948851 | ||||||||
\(927\) | −1.72518 | + | 0.627914i | −0.0566623 | + | 0.0206234i | ||||
\(928\) | 8.47385 | + | 3.08423i | 0.278168 | + | 0.101245i | ||||
\(929\) | 15.3922 | − | 12.9156i | 0.505000 | − | 0.423745i | −0.354365 | − | 0.935107i | \(-0.615303\pi\) |
0.859366 | + | 0.511362i | \(0.170859\pi\) | |||||||
\(930\) | −0.0658579 | − | 0.373499i | −0.00215957 | − | 0.0122475i | ||||
\(931\) | 18.9357 | 0.620591 | ||||||||
\(932\) | 2.00849 | + | 11.3907i | 0.0657904 | + | 0.373116i | ||||
\(933\) | 2.98127 | − | 5.16371i | 0.0976024 | − | 0.169052i | ||||
\(934\) | −1.01376 | − | 0.850643i | −0.0331712 | − | 0.0278339i | ||||
\(935\) | 5.60675 | + | 9.71118i | 0.183360 | + | 0.317590i | ||||
\(936\) | 6.36410 | − | 11.0229i | 0.208017 | − | 0.360296i | ||||
\(937\) | −18.3678 | + | 6.68532i | −0.600049 | + | 0.218400i | −0.624144 | − | 0.781310i | \(-0.714552\pi\) |
0.0240945 | + | 0.999710i | \(0.492330\pi\) | |||||||
\(938\) | 17.0933 | − | 14.3429i | 0.558114 | − | 0.468314i | ||||
\(939\) | 0.219503 | + | 0.380190i | 0.00716320 | + | 0.0124070i | ||||
\(940\) | 1.27395 | − | 7.22493i | 0.0415516 | − | 0.235651i | ||||
\(941\) | 8.13341 | − | 46.1269i | 0.265142 | − | 1.50369i | −0.503489 | − | 0.864001i | \(-0.667951\pi\) |
0.768631 | − | 0.639692i | \(-0.220938\pi\) | |||||||
\(942\) | −1.42748 | − | 1.19780i | −0.0465100 | − | 0.0390265i | ||||
\(943\) | 33.6420 | + | 12.2447i | 1.09554 | + | 0.398742i | ||||
\(944\) | −0.715904 | − | 0.260568i | −0.0233007 | − | 0.00848075i | ||||
\(945\) | −7.80563 | − | 6.54970i | −0.253917 | − | 0.213062i | ||||
\(946\) | −2.21277 | + | 12.5492i | −0.0719433 | + | 0.408011i | ||||
\(947\) | −0.664860 | + | 3.77061i | −0.0216050 | + | 0.122528i | −0.993703 | − | 0.112048i | \(-0.964259\pi\) |
0.972098 | + | 0.234576i | \(0.0753702\pi\) | |||||||
\(948\) | −2.31189 | − | 4.00431i | −0.0750867 | − | 0.130054i | ||||
\(949\) | −15.9191 | + | 13.3577i | −0.516756 | + | 0.433610i | ||||
\(950\) | −5.64743 | + | 2.05550i | −0.183227 | + | 0.0666892i | ||||
\(951\) | −5.23209 | + | 9.06225i | −0.169662 | + | 0.293864i | ||||
\(952\) | 5.62863 | + | 9.74907i | 0.182425 | + | 0.315969i | ||||
\(953\) | −4.42345 | − | 3.71171i | −0.143290 | − | 0.120234i | 0.568325 | − | 0.822804i | \(-0.307591\pi\) |
−0.711615 | + | 0.702570i | \(0.752036\pi\) | |||||||
\(954\) | −14.5394 | + | 25.1830i | −0.470731 | + | 0.815330i | ||||
\(955\) | −1.65087 | − | 9.36255i | −0.0534209 | − | 0.302965i | ||||
\(956\) | −11.7459 | −0.379889 | ||||||||
\(957\) | −2.79657 | − | 15.8601i | −0.0904001 | − | 0.512685i | ||||
\(958\) | −11.8359 | + | 9.93152i | −0.382401 | + | 0.320873i | ||||
\(959\) | 32.8689 | + | 11.9633i | 1.06139 | + | 0.386316i | ||||
\(960\) | 0.528795 | − | 0.192466i | 0.0170668 | − | 0.00621180i | ||||
\(961\) | −30.5458 | −0.985348 | ||||||||
\(962\) | −27.2543 | − | 9.47131i | −0.878715 | − | 0.305367i | ||||
\(963\) | 53.0892 | 1.71078 | ||||||||
\(964\) | 24.8126 | − | 9.03106i | 0.799161 | − | 0.290871i | ||||
\(965\) | 2.46586 | + | 0.897499i | 0.0793788 | + | 0.0288915i | ||||
\(966\) | −8.46105 | + | 7.09966i | −0.272230 | + | 0.228428i | ||||
\(967\) | −7.71421 | − | 43.7494i | −0.248072 | − | 1.40689i | −0.813248 | − | 0.581917i | \(-0.802303\pi\) |
0.565176 | − | 0.824970i | \(-0.308808\pi\) | |||||||
\(968\) | −0.927980 | −0.0298264 | ||||||||
\(969\) | −2.07501 | − | 11.7680i | −0.0666589 | − | 0.378041i | ||||
\(970\) | 4.04892 | − | 7.01294i | 0.130003 | − | 0.225172i | ||||
\(971\) | −35.3611 | − | 29.6715i | −1.13479 | − | 0.952203i | −0.135535 | − | 0.990773i | \(-0.543275\pi\) |
−0.999256 | + | 0.0385700i | \(0.987720\pi\) | |||||||
\(972\) | 6.55590 | + | 11.3552i | 0.210281 | + | 0.364217i | ||||
\(973\) | 29.0411 | − | 50.3006i | 0.931014 | − | 1.61256i | ||||
\(974\) | −7.25435 | + | 2.64037i | −0.232444 | + | 0.0846028i | ||||
\(975\) | −2.04479 | + | 1.71578i | −0.0654855 | + | 0.0549489i | ||||
\(976\) | 4.20442 | + | 7.28226i | 0.134580 | + | 0.233099i | ||||
\(977\) | 9.64471 | − | 54.6978i | 0.308561 | − | 1.74994i | −0.297687 | − | 0.954664i | \(-0.596215\pi\) |
0.606248 | − | 0.795275i | \(-0.292674\pi\) | |||||||
\(978\) | −1.13718 | + | 6.44927i | −0.0363630 | + | 0.206225i | ||||
\(979\) | 28.6891 | + | 24.0730i | 0.916909 | + | 0.769378i | ||||
\(980\) | −2.96074 | − | 1.07762i | −0.0945775 | − | 0.0344234i | ||||
\(981\) | 51.2181 | + | 18.6419i | 1.63527 | + | 0.595189i | ||||
\(982\) | −21.4592 | − | 18.0064i | −0.684790 | − | 0.574607i | ||||
\(983\) | 4.92402 | − | 27.9255i | 0.157052 | − | 0.890686i | −0.799834 | − | 0.600221i | \(-0.795079\pi\) |
0.956886 | − | 0.290464i | \(-0.0938098\pi\) | |||||||
\(984\) | −0.567869 | + | 3.22055i | −0.0181030 | + | 0.102667i | ||||
\(985\) | 5.32129 | + | 9.21674i | 0.169550 | + | 0.293670i | ||||
\(986\) | −24.4080 | + | 20.4807i | −0.777309 | + | 0.652240i | ||||
\(987\) | −12.3600 | + | 4.49867i | −0.393423 | + | 0.143194i | ||||
\(988\) | −14.2537 | + | 24.6881i | −0.453471 | + | 0.785434i | ||||
\(989\) | 12.3679 | + | 21.4219i | 0.393277 | + | 0.681176i | ||||
\(990\) | 6.52359 | + | 5.47394i | 0.207333 | + | 0.173973i | ||||
\(991\) | 2.52327 | − | 4.37044i | 0.0801544 | − | 0.138832i | −0.823162 | − | 0.567807i | \(-0.807792\pi\) |
0.903316 | + | 0.428975i | \(0.141125\pi\) | |||||||
\(992\) | 0.117032 | + | 0.663724i | 0.00371579 | + | 0.0210733i | ||||
\(993\) | 5.30349 | 0.168301 | ||||||||
\(994\) | −3.75594 | − | 21.3010i | −0.119131 | − | 0.675626i | ||||
\(995\) | 4.89576 | − | 4.10803i | 0.155206 | − | 0.130233i | ||||
\(996\) | 6.38370 | + | 2.32348i | 0.202275 | + | 0.0736221i | ||||
\(997\) | −52.9630 | + | 19.2770i | −1.67735 | + | 0.610507i | −0.992943 | − | 0.118589i | \(-0.962163\pi\) |
−0.684412 | + | 0.729096i | \(0.739941\pi\) | |||||||
\(998\) | −35.3693 | −1.11960 | ||||||||
\(999\) | 14.7183 | − | 12.7210i | 0.465666 | − | 0.402475i |
(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 | 370.2.o.a.81.2 | ✓ | 18 | |
37.16 | even | 9 | inner | 370.2.o.a.201.2 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.a.81.2 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.a.201.2 | yes | 18 | 37.16 | even | 9 | inner |