Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(6,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.k (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: | \(0.758578819202\) |
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: | \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} - 156 x^{9} + 582 x^{8} - 138 x^{7} + 437 x^{6} - 132 x^{5} + 198 x^{4} - 16 x^{3} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Root | \(-0.644984 - 1.11715i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.16 |
Dual form | 95.2.k.a.6.3 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.75422 | + | 1.47196i | 1.24042 | + | 1.04084i | 0.997491 | + | 0.0707907i | \(0.0225522\pi\) |
0.242928 | + | 0.970044i | \(0.421892\pi\) | |||||||
\(3\) | −3.10785 | + | 1.13116i | −1.79432 | + | 0.653078i | −0.795423 | + | 0.606055i | \(0.792751\pi\) |
−0.998894 | + | 0.0470226i | \(0.985027\pi\) | |||||||
\(4\) | 0.563307 | + | 3.19467i | 0.281653 | + | 1.59734i | ||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | −7.11687 | − | 2.59033i | −2.90545 | − | 1.05750i | ||||
\(7\) | 1.46955 | + | 2.54534i | 0.555438 | + | 0.962047i | 0.997869 | + | 0.0652445i | \(0.0207827\pi\) |
−0.442431 | + | 0.896802i | \(0.645884\pi\) | |||||||
\(8\) | −1.42431 | + | 2.46697i | −0.503569 | + | 0.872206i | ||||
\(9\) | 6.08105 | − | 5.10261i | 2.02702 | − | 1.70087i | ||||
\(10\) | 1.75422 | − | 1.47196i | 0.554732 | − | 0.465476i | ||||
\(11\) | 0.288800 | − | 0.500217i | 0.0870766 | − | 0.150821i | −0.819198 | − | 0.573511i | \(-0.805581\pi\) |
0.906274 | + | 0.422690i | \(0.138914\pi\) | |||||||
\(12\) | −5.36437 | − | 9.29136i | −1.54856 | − | 2.68218i | ||||
\(13\) | 0.629967 | + | 0.229289i | 0.174721 | + | 0.0635934i | 0.427900 | − | 0.903826i | \(-0.359254\pi\) |
−0.253178 | + | 0.967420i | \(0.581476\pi\) | |||||||
\(14\) | −1.16873 | + | 6.62820i | −0.312356 | + | 1.77146i | ||||
\(15\) | 0.574307 | + | 3.25706i | 0.148285 | + | 0.840968i | ||||
\(16\) | −0.0331972 | + | 0.0120828i | −0.00829929 | + | 0.00302070i | ||||
\(17\) | −0.269572 | − | 0.226198i | −0.0653808 | − | 0.0548610i | 0.609512 | − | 0.792777i | \(-0.291366\pi\) |
−0.674892 | + | 0.737916i | \(0.735810\pi\) | |||||||
\(18\) | 18.1783 | 4.28467 | ||||||||
\(19\) | −3.86230 | − | 2.02056i | −0.886071 | − | 0.463549i | ||||
\(20\) | 3.24395 | 0.725370 | ||||||||
\(21\) | −7.44633 | − | 6.24822i | −1.62492 | − | 1.36347i | ||||
\(22\) | 1.24292 | − | 0.452386i | 0.264991 | − | 0.0964489i | ||||
\(23\) | −0.715571 | − | 4.05820i | −0.149207 | − | 0.846194i | −0.963893 | − | 0.266291i | \(-0.914202\pi\) |
0.814686 | − | 0.579903i | \(-0.196909\pi\) | |||||||
\(24\) | 1.63598 | − | 9.27810i | 0.333943 | − | 1.89388i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 0.767594 | + | 1.32951i | 0.150538 | + | 0.260739i | ||||
\(27\) | −8.16613 | + | 14.1442i | −1.57157 | + | 2.72204i | ||||
\(28\) | −7.30371 | + | 6.12854i | −1.38027 | + | 1.15818i | ||||
\(29\) | 2.30426 | − | 1.93351i | 0.427891 | − | 0.359043i | −0.403264 | − | 0.915083i | \(-0.632125\pi\) |
0.831155 | + | 0.556041i | \(0.187680\pi\) | |||||||
\(30\) | −3.78681 | + | 6.55894i | −0.691373 | + | 1.19749i | ||||
\(31\) | −0.148853 | − | 0.257821i | −0.0267348 | − | 0.0463061i | 0.852348 | − | 0.522974i | \(-0.175178\pi\) |
−0.879083 | + | 0.476668i | \(0.841844\pi\) | |||||||
\(32\) | 5.27762 | + | 1.92090i | 0.932961 | + | 0.339570i | ||||
\(33\) | −0.331720 | + | 1.88128i | −0.0577450 | + | 0.327488i | ||||
\(34\) | −0.139933 | − | 0.793600i | −0.0239983 | − | 0.136101i | ||||
\(35\) | 2.76185 | − | 1.00523i | 0.466838 | − | 0.169915i | ||||
\(36\) | 19.7266 | + | 16.5526i | 3.28777 | + | 2.75877i | ||||
\(37\) | −8.30595 | −1.36549 | −0.682745 | − | 0.730657i | \(-0.739214\pi\) | ||||
−0.682745 | + | 0.730657i | \(0.739214\pi\) | |||||||
\(38\) | −3.80111 | − | 9.22966i | −0.616622 | − | 1.49725i | ||||
\(39\) | −2.21721 | −0.355037 | ||||||||
\(40\) | 2.18216 | + | 1.83105i | 0.345031 | + | 0.289515i | ||||
\(41\) | −2.51099 | + | 0.913926i | −0.392151 | + | 0.142731i | −0.530567 | − | 0.847643i | \(-0.678021\pi\) |
0.138416 | + | 0.990374i | \(0.455799\pi\) | |||||||
\(42\) | −3.86534 | − | 21.9215i | −0.596436 | − | 3.38255i | ||||
\(43\) | −1.14578 | + | 6.49806i | −0.174730 | + | 0.990945i | 0.763724 | + | 0.645543i | \(0.223369\pi\) |
−0.938455 | + | 0.345403i | \(0.887742\pi\) | |||||||
\(44\) | 1.76071 | + | 0.640846i | 0.265437 | + | 0.0966112i | ||||
\(45\) | −3.96912 | − | 6.87472i | −0.591682 | − | 1.02482i | ||||
\(46\) | 4.71826 | − | 8.17226i | 0.695669 | − | 1.20493i | ||||
\(47\) | 8.45135 | − | 7.09153i | 1.23276 | − | 1.03441i | 0.234701 | − | 0.972068i | \(-0.424589\pi\) |
0.998055 | − | 0.0623379i | \(-0.0198556\pi\) | |||||||
\(48\) | 0.0895041 | − | 0.0751029i | 0.0129188 | − | 0.0108402i | ||||
\(49\) | −0.819160 | + | 1.41883i | −0.117023 | + | 0.202690i | ||||
\(50\) | −1.14498 | − | 1.98317i | −0.161925 | − | 0.280463i | ||||
\(51\) | 1.09366 | + | 0.398058i | 0.153142 | + | 0.0557393i | ||||
\(52\) | −0.377639 | + | 2.14170i | −0.0523691 | + | 0.297000i | ||||
\(53\) | −0.713104 | − | 4.04421i | −0.0979523 | − | 0.555515i | −0.993803 | − | 0.111159i | \(-0.964544\pi\) |
0.895850 | − | 0.444356i | \(-0.146567\pi\) | |||||||
\(54\) | −35.1449 | + | 12.7917i | −4.78261 | + | 1.74073i | ||||
\(55\) | −0.442468 | − | 0.371274i | −0.0596623 | − | 0.0500626i | ||||
\(56\) | −8.37237 | −1.11880 | ||||||||
\(57\) | 14.2890 | + | 1.91071i | 1.89263 | + | 0.253080i | ||||
\(58\) | 6.88822 | 0.904468 | ||||||||
\(59\) | 0.467725 | + | 0.392468i | 0.0608926 | + | 0.0510950i | 0.672726 | − | 0.739892i | \(-0.265123\pi\) |
−0.611833 | + | 0.790987i | \(0.709568\pi\) | |||||||
\(60\) | −10.0817 | + | 3.66944i | −1.30154 | + | 0.473723i | ||||
\(61\) | 0.178325 | + | 1.01133i | 0.0228322 | + | 0.129488i | 0.994093 | − | 0.108529i | \(-0.0346139\pi\) |
−0.971261 | + | 0.238016i | \(0.923503\pi\) | |||||||
\(62\) | 0.118383 | − | 0.671381i | 0.0150346 | − | 0.0852655i | ||||
\(63\) | 21.9243 | + | 7.97978i | 2.76220 | + | 1.00536i | ||||
\(64\) | 6.46593 | + | 11.1993i | 0.808242 | + | 1.39992i | ||||
\(65\) | 0.335199 | − | 0.580581i | 0.0415763 | − | 0.0720122i | ||||
\(66\) | −3.35108 | + | 2.81189i | −0.412489 | + | 0.346120i | ||||
\(67\) | −2.55547 | + | 2.14429i | −0.312200 | + | 0.261967i | −0.785401 | − | 0.618988i | \(-0.787543\pi\) |
0.473201 | + | 0.880955i | \(0.343099\pi\) | |||||||
\(68\) | 0.570776 | − | 0.988612i | 0.0692167 | − | 0.119887i | ||||
\(69\) | 6.81438 | + | 11.8028i | 0.820355 | + | 1.42090i | ||||
\(70\) | 6.32455 | + | 2.30195i | 0.755929 | + | 0.275136i | ||||
\(71\) | −2.29645 | + | 13.0238i | −0.272538 | + | 1.54564i | 0.474137 | + | 0.880451i | \(0.342760\pi\) |
−0.746675 | + | 0.665189i | \(0.768351\pi\) | |||||||
\(72\) | 3.92671 | + | 22.2695i | 0.462767 | + | 2.62448i | ||||
\(73\) | −6.70827 | + | 2.44161i | −0.785143 | + | 0.285769i | −0.703316 | − | 0.710878i | \(-0.748298\pi\) |
−0.0818275 | + | 0.996647i | \(0.526076\pi\) | |||||||
\(74\) | −14.5704 | − | 12.2261i | −1.69378 | − | 1.42125i | ||||
\(75\) | 3.30730 | 0.381894 | ||||||||
\(76\) | 4.27938 | − | 13.4770i | 0.490878 | − | 1.54591i | ||||
\(77\) | 1.69763 | 0.193463 | ||||||||
\(78\) | −3.88946 | − | 3.26364i | −0.440395 | − | 0.369535i | ||||
\(79\) | −1.44931 | + | 0.527504i | −0.163060 | + | 0.0593489i | −0.422260 | − | 0.906475i | \(-0.638763\pi\) |
0.259201 | + | 0.965824i | \(0.416541\pi\) | |||||||
\(80\) | 0.00613459 | + | 0.0347910i | 0.000685868 | + | 0.00388975i | ||||
\(81\) | 5.24435 | − | 29.7422i | 0.582706 | − | 3.30469i | ||||
\(82\) | −5.75009 | − | 2.09286i | −0.634991 | − | 0.231118i | ||||
\(83\) | −6.65930 | − | 11.5342i | −0.730953 | − | 1.26605i | −0.956476 | − | 0.291809i | \(-0.905743\pi\) |
0.225524 | − | 0.974238i | \(-0.427591\pi\) | |||||||
\(84\) | 15.7664 | − | 27.3082i | 1.72026 | − | 2.97957i | ||||
\(85\) | −0.269572 | + | 0.226198i | −0.0292392 | + | 0.0245346i | ||||
\(86\) | −11.5749 | + | 9.71246i | −1.24815 | + | 1.04732i | ||||
\(87\) | −4.97418 | + | 8.61554i | −0.533288 | + | 0.923683i | ||||
\(88\) | 0.822680 | + | 1.42492i | 0.0876980 | + | 0.151897i | ||||
\(89\) | 6.17500 | + | 2.24752i | 0.654549 | + | 0.238236i | 0.647881 | − | 0.761741i | \(-0.275655\pi\) |
0.00666773 | + | 0.999978i | \(0.497878\pi\) | |||||||
\(90\) | 3.15663 | − | 17.9022i | 0.332738 | − | 1.88705i | ||||
\(91\) | 0.342150 | + | 1.94043i | 0.0358671 | + | 0.203412i | ||||
\(92\) | 12.5615 | − | 4.57203i | 1.30963 | − | 0.476667i | ||||
\(93\) | 0.754252 | + | 0.632892i | 0.0782123 | + | 0.0656279i | ||||
\(94\) | 25.2640 | 2.60578 | ||||||||
\(95\) | −2.66055 | + | 3.45275i | −0.272966 | + | 0.354245i | ||||
\(96\) | −18.5749 | −1.89579 | ||||||||
\(97\) | 9.34414 | + | 7.84066i | 0.948754 | + | 0.796099i | 0.979087 | − | 0.203441i | \(-0.0652125\pi\) |
−0.0303336 | + | 0.999540i | \(0.509657\pi\) | |||||||
\(98\) | −3.52545 | + | 1.28316i | −0.356124 | + | 0.129618i | ||||
\(99\) | −0.796200 | − | 4.51548i | −0.0800211 | − | 0.453822i | ||||
\(100\) | 0.563307 | − | 3.19467i | 0.0563307 | − | 0.319467i | ||||
\(101\) | 0.545793 | + | 0.198653i | 0.0543085 | + | 0.0197667i | 0.369032 | − | 0.929417i | \(-0.379689\pi\) |
−0.314723 | + | 0.949184i | \(0.601912\pi\) | |||||||
\(102\) | 1.33258 | + | 2.30810i | 0.131945 | + | 0.228536i | ||||
\(103\) | 3.23555 | − | 5.60414i | 0.318809 | − | 0.552193i | −0.661431 | − | 0.750006i | \(-0.730051\pi\) |
0.980240 | + | 0.197813i | \(0.0633840\pi\) | |||||||
\(104\) | −1.46292 | + | 1.22753i | −0.143451 | + | 0.120370i | ||||
\(105\) | −7.44633 | + | 6.24822i | −0.726688 | + | 0.609763i | ||||
\(106\) | 4.70199 | − | 8.14409i | 0.456698 | − | 0.791024i | ||||
\(107\) | −9.18942 | − | 15.9165i | −0.888374 | − | 1.53871i | −0.841797 | − | 0.539795i | \(-0.818502\pi\) |
−0.0465776 | − | 0.998915i | \(-0.514831\pi\) | |||||||
\(108\) | −49.7860 | − | 18.1206i | −4.79066 | − | 1.74366i | ||||
\(109\) | −0.435803 | + | 2.47156i | −0.0417424 | + | 0.236733i | −0.998540 | − | 0.0540230i | \(-0.982796\pi\) |
0.956797 | + | 0.290756i | \(0.0939067\pi\) | |||||||
\(110\) | −0.229682 | − | 1.30259i | −0.0218993 | − | 0.124197i | ||||
\(111\) | 25.8136 | − | 9.39539i | 2.45012 | − | 0.891771i | ||||
\(112\) | −0.0795397 | − | 0.0667417i | −0.00751579 | − | 0.00630650i | ||||
\(113\) | −11.3386 | −1.06665 | −0.533325 | − | 0.845911i | \(-0.679058\pi\) | ||||
−0.533325 | + | 0.845911i | \(0.679058\pi\) | |||||||
\(114\) | 22.2535 | + | 24.3847i | 2.08423 | + | 2.28384i | ||||
\(115\) | −4.12081 | −0.384267 | ||||||||
\(116\) | 7.47492 | + | 6.27220i | 0.694029 | + | 0.582359i | ||||
\(117\) | 5.00083 | − | 1.82015i | 0.462327 | − | 0.168273i | ||||
\(118\) | 0.242793 | + | 1.37695i | 0.0223509 | + | 0.126758i | ||||
\(119\) | 0.179600 | − | 1.01856i | 0.0164639 | − | 0.0933713i | ||||
\(120\) | −8.85306 | − | 3.22225i | −0.808170 | − | 0.294150i | ||||
\(121\) | 5.33319 | + | 9.23735i | 0.484835 | + | 0.839759i | ||||
\(122\) | −1.17582 | + | 2.03658i | −0.106454 | + | 0.184383i | ||||
\(123\) | 6.76997 | − | 5.68068i | 0.610428 | − | 0.512210i | ||||
\(124\) | 0.739805 | − | 0.620770i | 0.0664364 | − | 0.0557468i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 26.7140 | + | 46.2700i | 2.37987 | + | 4.12206i | ||||
\(127\) | −18.0347 | − | 6.56408i | −1.60032 | − | 0.582468i | −0.620826 | − | 0.783949i | \(-0.713203\pi\) |
−0.979493 | + | 0.201480i | \(0.935425\pi\) | |||||||
\(128\) | −3.19181 | + | 18.1017i | −0.282119 | + | 1.59998i | ||||
\(129\) | −3.78945 | − | 21.4911i | −0.333643 | − | 1.89218i | ||||
\(130\) | 1.44260 | − | 0.525065i | 0.126525 | − | 0.0460513i | ||||
\(131\) | −5.24756 | − | 4.40322i | −0.458481 | − | 0.384711i | 0.384091 | − | 0.923295i | \(-0.374515\pi\) |
−0.842572 | + | 0.538584i | \(0.818959\pi\) | |||||||
\(132\) | −6.19692 | −0.539373 | ||||||||
\(133\) | −0.532827 | − | 12.8002i | −0.0462019 | − | 1.10991i | ||||
\(134\) | −7.63916 | −0.659923 | ||||||||
\(135\) | 12.5112 | + | 10.4982i | 1.07680 | + | 0.903540i | ||||
\(136\) | 0.941977 | − | 0.342852i | 0.0807738 | − | 0.0293993i | ||||
\(137\) | 2.29941 | + | 13.0406i | 0.196452 | + | 1.11413i | 0.910336 | + | 0.413870i | \(0.135823\pi\) |
−0.713884 | + | 0.700264i | \(0.753066\pi\) | |||||||
\(138\) | −5.41946 | + | 30.7353i | −0.461335 | + | 2.61636i | ||||
\(139\) | −2.73439 | − | 0.995237i | −0.231928 | − | 0.0844149i | 0.223442 | − | 0.974717i | \(-0.428271\pi\) |
−0.455370 | + | 0.890302i | \(0.650493\pi\) | |||||||
\(140\) | 4.76716 | + | 8.25695i | 0.402898 | + | 0.697840i | ||||
\(141\) | −18.2438 | + | 31.5992i | −1.53641 | + | 2.66114i | ||||
\(142\) | −23.1990 | + | 19.4663i | −1.94682 | + | 1.63357i | ||||
\(143\) | 0.296629 | − | 0.248901i | 0.0248054 | − | 0.0208142i | ||||
\(144\) | −0.140220 | + | 0.242868i | −0.0116850 | + | 0.0202390i | ||||
\(145\) | −1.50400 | − | 2.60500i | −0.124900 | − | 0.216334i | ||||
\(146\) | −15.3617 | − | 5.59121i | −1.27134 | − | 0.462732i | ||||
\(147\) | 0.940899 | − | 5.33610i | 0.0776040 | − | 0.440114i | ||||
\(148\) | −4.67880 | − | 26.5348i | −0.384595 | − | 2.18115i | ||||
\(149\) | 8.32247 | − | 3.02913i | 0.681804 | − | 0.248156i | 0.0221819 | − | 0.999754i | \(-0.492939\pi\) |
0.659622 | + | 0.751598i | \(0.270716\pi\) | |||||||
\(150\) | 5.80173 | + | 4.86823i | 0.473709 | + | 0.397489i | ||||
\(151\) | 8.37160 | 0.681271 | 0.340636 | − | 0.940195i | \(-0.389358\pi\) | ||||
0.340636 | + | 0.940195i | \(0.389358\pi\) | |||||||
\(152\) | 10.4858 | − | 6.65027i | 0.850508 | − | 0.539408i | ||||
\(153\) | −2.79348 | −0.225839 | ||||||||
\(154\) | 2.97801 | + | 2.49884i | 0.239975 | + | 0.201363i | ||||
\(155\) | −0.279753 | + | 0.101822i | −0.0224703 | + | 0.00817851i | ||||
\(156\) | −1.24897 | − | 7.08324i | −0.0999973 | − | 0.567113i | ||||
\(157\) | −2.75519 | + | 15.6255i | −0.219888 | + | 1.24705i | 0.652331 | + | 0.757934i | \(0.273791\pi\) |
−0.872219 | + | 0.489115i | \(0.837320\pi\) | |||||||
\(158\) | −3.31887 | − | 1.20797i | −0.264035 | − | 0.0961008i | ||||
\(159\) | 6.79088 | + | 11.7622i | 0.538552 | + | 0.932799i | ||||
\(160\) | 2.80816 | − | 4.86388i | 0.222005 | − | 0.384524i | ||||
\(161\) | 9.27793 | − | 7.78511i | 0.731203 | − | 0.613552i | ||||
\(162\) | 52.9791 | − | 44.4548i | 4.16243 | − | 3.49270i | ||||
\(163\) | −4.86130 | + | 8.42002i | −0.380766 | + | 0.659507i | −0.991172 | − | 0.132582i | \(-0.957673\pi\) |
0.610406 | + | 0.792089i | \(0.291006\pi\) | |||||||
\(164\) | −4.33415 | − | 7.50697i | −0.338440 | − | 0.586195i | ||||
\(165\) | 1.79509 | + | 0.653361i | 0.139748 | + | 0.0508641i | ||||
\(166\) | 5.29612 | − | 30.0358i | 0.411059 | − | 2.33123i | ||||
\(167\) | 0.0489947 | + | 0.277863i | 0.00379132 | + | 0.0215017i | 0.986645 | − | 0.162887i | \(-0.0520806\pi\) |
−0.982853 | + | 0.184389i | \(0.940969\pi\) | |||||||
\(168\) | 26.0200 | − | 9.47052i | 2.00749 | − | 0.730666i | ||||
\(169\) | −9.61429 | − | 8.06735i | −0.739561 | − | 0.620565i | ||||
\(170\) | −0.805843 | −0.0618053 | ||||||||
\(171\) | −33.7969 | + | 7.42063i | −2.58452 | + | 0.567470i | ||||
\(172\) | −21.4046 | −1.63208 | ||||||||
\(173\) | 11.5894 | + | 9.72470i | 0.881129 | + | 0.739355i | 0.966411 | − | 0.257002i | \(-0.0827346\pi\) |
−0.0852817 | + | 0.996357i | \(0.527179\pi\) | |||||||
\(174\) | −21.4075 | + | 7.79171i | −1.62290 | + | 0.590688i | ||||
\(175\) | −0.510370 | − | 2.89445i | −0.0385803 | − | 0.218800i | ||||
\(176\) | −0.00354334 | + | 0.0200953i | −0.000267089 | + | 0.00151474i | ||||
\(177\) | −1.89756 | − | 0.690657i | −0.142630 | − | 0.0519129i | ||||
\(178\) | 7.52403 | + | 13.0320i | 0.563950 | + | 0.976790i | ||||
\(179\) | 7.22664 | − | 12.5169i | 0.540145 | − | 0.935558i | −0.458751 | − | 0.888565i | \(-0.651703\pi\) |
0.998895 | − | 0.0469929i | \(-0.0149638\pi\) | |||||||
\(180\) | 19.7266 | − | 16.5526i | 1.47034 | − | 1.23376i | ||||
\(181\) | −5.33540 | + | 4.47693i | −0.396577 | + | 0.332768i | −0.819169 | − | 0.573552i | \(-0.805565\pi\) |
0.422592 | + | 0.906320i | \(0.361120\pi\) | |||||||
\(182\) | −2.25604 | + | 3.90757i | −0.167229 | + | 0.289648i | ||||
\(183\) | −1.69819 | − | 2.94135i | −0.125534 | − | 0.217431i | ||||
\(184\) | 11.0307 | + | 4.01483i | 0.813192 | + | 0.295978i | ||||
\(185\) | −1.44231 | + | 8.17977i | −0.106041 | + | 0.601388i | ||||
\(186\) | 0.391527 | + | 2.22046i | 0.0287082 | + | 0.162812i | ||||
\(187\) | −0.191000 | + | 0.0695184i | −0.0139673 | + | 0.00508369i | ||||
\(188\) | 27.4158 | + | 23.0046i | 1.99950 | + | 1.67778i | ||||
\(189\) | −48.0022 | −3.49165 | ||||||||
\(190\) | −9.74950 | + | 2.14065i | −0.707303 | + | 0.155299i | ||||
\(191\) | 5.49050 | 0.397279 | 0.198639 | − | 0.980073i | \(-0.436348\pi\) | ||||
0.198639 | + | 0.980073i | \(0.436348\pi\) | |||||||
\(192\) | −32.7634 | − | 27.4918i | −2.36450 | − | 1.98405i | ||||
\(193\) | 6.08625 | − | 2.21521i | 0.438098 | − | 0.159455i | −0.113549 | − | 0.993532i | \(-0.536222\pi\) |
0.551647 | + | 0.834078i | \(0.314000\pi\) | |||||||
\(194\) | 4.85048 | + | 27.5085i | 0.348244 | + | 1.97499i | ||||
\(195\) | −0.385014 | + | 2.18352i | −0.0275714 | + | 0.156365i | ||||
\(196\) | −4.99412 | − | 1.81771i | −0.356723 | − | 0.129837i | ||||
\(197\) | 4.64727 | + | 8.04931i | 0.331104 | + | 0.573490i | 0.982729 | − | 0.185052i | \(-0.0592454\pi\) |
−0.651624 | + | 0.758542i | \(0.725912\pi\) | |||||||
\(198\) | 5.24991 | − | 9.09310i | 0.373095 | − | 0.646219i | ||||
\(199\) | −18.6201 | + | 15.6242i | −1.31995 | + | 1.10757i | −0.333630 | + | 0.942704i | \(0.608274\pi\) |
−0.986317 | + | 0.164863i | \(0.947282\pi\) | |||||||
\(200\) | 2.18216 | − | 1.83105i | 0.154302 | − | 0.129475i | ||||
\(201\) | 5.51646 | − | 9.55478i | 0.389101 | − | 0.673942i | ||||
\(202\) | 0.665031 | + | 1.15187i | 0.0467914 | + | 0.0810451i | ||||
\(203\) | 8.30765 | + | 3.02374i | 0.583083 | + | 0.212225i | ||||
\(204\) | −0.655601 | + | 3.71810i | −0.0459012 | + | 0.260319i | ||||
\(205\) | 0.464012 | + | 2.63154i | 0.0324080 | + | 0.183795i | ||||
\(206\) | 13.9250 | − | 5.06827i | 0.970198 | − | 0.353123i | ||||
\(207\) | −25.0588 | − | 21.0269i | −1.74171 | − | 1.46147i | ||||
\(208\) | −0.0236836 | −0.00164216 | ||||||||
\(209\) | −2.12615 | + | 1.34845i | −0.147069 | + | 0.0932739i | ||||
\(210\) | −22.2596 | −1.53606 | ||||||||
\(211\) | 18.3601 | + | 15.4060i | 1.26396 | + | 1.06059i | 0.995248 | + | 0.0973716i | \(0.0310435\pi\) |
0.268715 | + | 0.963220i | \(0.413401\pi\) | |||||||
\(212\) | 12.5182 | − | 4.55626i | 0.859755 | − | 0.312925i | ||||
\(213\) | −7.59504 | − | 43.0736i | −0.520404 | − | 2.95136i | ||||
\(214\) | 7.30832 | − | 41.4475i | 0.499586 | − | 2.83330i | ||||
\(215\) | 6.20038 | + | 2.25675i | 0.422862 | + | 0.153909i | ||||
\(216\) | −23.2622 | − | 40.2913i | −1.58279 | − | 2.74147i | ||||
\(217\) | 0.437495 | − | 0.757764i | 0.0296991 | − | 0.0514403i | ||||
\(218\) | −4.40254 | + | 3.69417i | −0.298178 | + | 0.250201i | ||||
\(219\) | 18.0864 | − | 15.1763i | 1.22217 | − | 1.02552i | ||||
\(220\) | 0.936855 | − | 1.62268i | 0.0631627 | − | 0.109401i | ||||
\(221\) | −0.117957 | − | 0.204307i | −0.00793463 | − | 0.0137432i | ||||
\(222\) | 59.1124 | + | 21.5152i | 3.96736 | + | 1.44400i | ||||
\(223\) | 3.57177 | − | 20.2565i | 0.239183 | − | 1.35648i | −0.594438 | − | 0.804141i | \(-0.702626\pi\) |
0.833622 | − | 0.552336i | \(-0.186263\pi\) | |||||||
\(224\) | 2.86640 | + | 16.2562i | 0.191520 | + | 1.08616i | ||||
\(225\) | −7.45951 | + | 2.71504i | −0.497301 | + | 0.181003i | ||||
\(226\) | −19.8904 | − | 16.6901i | −1.32309 | − | 1.11021i | ||||
\(227\) | 12.6949 | 0.842593 | 0.421297 | − | 0.906923i | \(-0.361575\pi\) | ||||
0.421297 | + | 0.906923i | \(0.361575\pi\) | |||||||
\(228\) | 1.94500 | + | 46.7250i | 0.128811 | + | 3.09444i | ||||
\(229\) | 5.76019 | 0.380644 | 0.190322 | − | 0.981722i | \(-0.439047\pi\) | ||||
0.190322 | + | 0.981722i | \(0.439047\pi\) | |||||||
\(230\) | −7.22879 | − | 6.06568i | −0.476652 | − | 0.399959i | ||||
\(231\) | −5.27596 | + | 1.92029i | −0.347133 | + | 0.126346i | ||||
\(232\) | 1.48793 | + | 8.43845i | 0.0976872 | + | 0.554012i | ||||
\(233\) | −0.482485 | + | 2.73631i | −0.0316087 | + | 0.179262i | −0.996525 | − | 0.0832967i | \(-0.973455\pi\) |
0.964916 | + | 0.262558i | \(0.0845662\pi\) | |||||||
\(234\) | 11.4517 | + | 4.16810i | 0.748624 | + | 0.272477i | ||||
\(235\) | −5.51623 | − | 9.55439i | −0.359839 | − | 0.623260i | ||||
\(236\) | −0.990333 | + | 1.71531i | −0.0644652 | + | 0.111657i | ||||
\(237\) | 3.90753 | − | 3.27881i | 0.253821 | − | 0.212981i | ||||
\(238\) | 1.81434 | − | 1.52241i | 0.117606 | − | 0.0986834i | ||||
\(239\) | −9.72936 | + | 16.8518i | −0.629340 | + | 1.09005i | 0.358344 | + | 0.933590i | \(0.383341\pi\) |
−0.987684 | + | 0.156460i | \(0.949992\pi\) | |||||||
\(240\) | −0.0584197 | − | 0.101186i | −0.00377097 | − | 0.00653152i | ||||
\(241\) | 6.80304 | + | 2.47610i | 0.438222 | + | 0.159500i | 0.551704 | − | 0.834040i | \(-0.313978\pi\) |
−0.113481 | + | 0.993540i | \(0.536200\pi\) | |||||||
\(242\) | −4.24147 | + | 24.0546i | −0.272652 | + | 1.54629i | ||||
\(243\) | 8.83644 | + | 50.1140i | 0.566858 | + | 3.21481i | ||||
\(244\) | −3.13042 | + | 1.13938i | −0.200404 | + | 0.0729412i | ||||
\(245\) | 1.25503 | + | 1.05309i | 0.0801807 | + | 0.0672796i | ||||
\(246\) | 20.2378 | 1.29031 | ||||||||
\(247\) | −1.96983 | − | 2.15847i | −0.125337 | − | 0.137340i | ||||
\(248\) | 0.848051 | 0.0538513 | ||||||||
\(249\) | 33.7432 | + | 28.3139i | 2.13839 | + | 1.79432i | ||||
\(250\) | −2.15187 | + | 0.783215i | −0.136096 | + | 0.0495349i | ||||
\(251\) | 2.57969 | + | 14.6301i | 0.162829 | + | 0.923446i | 0.951275 | + | 0.308343i | \(0.0997745\pi\) |
−0.788447 | + | 0.615103i | \(0.789114\pi\) | |||||||
\(252\) | −13.1427 | + | 74.5359i | −0.827911 | + | 4.69532i | ||||
\(253\) | −2.23664 | − | 0.814070i | −0.140616 | − | 0.0511801i | ||||
\(254\) | −21.9746 | − | 38.0612i | −1.37881 | − | 2.38817i | ||||
\(255\) | 0.581922 | − | 1.00792i | 0.0364414 | − | 0.0631183i | ||||
\(256\) | −12.4313 | + | 10.4311i | −0.776958 | + | 0.651946i | ||||
\(257\) | 15.1338 | − | 12.6988i | 0.944021 | − | 0.792128i | −0.0342591 | − | 0.999413i | \(-0.510907\pi\) |
0.978281 | + | 0.207285i | \(0.0664627\pi\) | |||||||
\(258\) | 24.9865 | − | 43.2779i | 1.55559 | − | 2.69436i | ||||
\(259\) | −12.2060 | − | 21.1414i | −0.758445 | − | 1.31367i | ||||
\(260\) | 2.04358 | + | 0.743804i | 0.126738 | + | 0.0461288i | ||||
\(261\) | 4.14641 | − | 23.5155i | 0.256657 | − | 1.45557i | ||||
\(262\) | −2.72397 | − | 15.4484i | −0.168288 | − | 0.954407i | ||||
\(263\) | −11.1365 | + | 4.05337i | −0.686709 | + | 0.249942i | −0.661725 | − | 0.749746i | \(-0.730176\pi\) |
−0.0249835 | + | 0.999688i | \(0.507953\pi\) | |||||||
\(264\) | −4.16859 | − | 3.49786i | −0.256559 | − | 0.215278i | ||||
\(265\) | −4.10660 | −0.252266 | ||||||||
\(266\) | 17.9067 | − | 23.2386i | 1.09793 | − | 1.42485i | ||||
\(267\) | −21.7333 | −1.33005 | ||||||||
\(268\) | −8.28982 | − | 6.95598i | −0.506381 | − | 0.424904i | ||||
\(269\) | 10.2199 | − | 3.71975i | 0.623120 | − | 0.226797i | −0.0111138 | − | 0.999938i | \(-0.503538\pi\) |
0.634234 | + | 0.773141i | \(0.281315\pi\) | |||||||
\(270\) | 6.49451 | + | 36.8322i | 0.395243 | + | 2.24154i | ||||
\(271\) | −1.01974 | + | 5.78324i | −0.0619448 | + | 0.351307i | 0.938044 | + | 0.346517i | \(0.112636\pi\) |
−0.999989 | + | 0.00478962i | \(0.998475\pi\) | |||||||
\(272\) | 0.0116821 | + | 0.00425195i | 0.000708333 | + | 0.000257812i | ||||
\(273\) | −3.25830 | − | 5.64353i | −0.197201 | − | 0.341562i | ||||
\(274\) | −15.1616 | + | 26.2607i | −0.915947 | + | 1.58647i | ||||
\(275\) | −0.442468 | + | 0.371274i | −0.0266818 | + | 0.0223887i | ||||
\(276\) | −33.8676 | + | 28.4183i | −2.03859 | + | 1.71058i | ||||
\(277\) | 11.9064 | − | 20.6224i | 0.715385 | − | 1.23908i | −0.247426 | − | 0.968907i | \(-0.579585\pi\) |
0.962811 | − | 0.270176i | \(-0.0870819\pi\) | |||||||
\(278\) | −3.33176 | − | 5.77079i | −0.199826 | − | 0.346109i | ||||
\(279\) | −2.22075 | − | 0.808285i | −0.132953 | − | 0.0483908i | ||||
\(280\) | −1.45385 | + | 8.24517i | −0.0868839 | + | 0.492743i | ||||
\(281\) | −1.23971 | − | 7.03074i | −0.0739549 | − | 0.419419i | −0.999198 | − | 0.0400440i | \(-0.987250\pi\) |
0.925243 | − | 0.379375i | \(-0.123861\pi\) | |||||||
\(282\) | −78.5166 | + | 28.5777i | −4.67559 | + | 1.70178i | ||||
\(283\) | 20.4796 | + | 17.1844i | 1.21739 | + | 1.02151i | 0.998957 | + | 0.0456547i | \(0.0145374\pi\) |
0.218428 | + | 0.975853i | \(0.429907\pi\) | |||||||
\(284\) | −42.9003 | −2.54567 | ||||||||
\(285\) | 4.36294 | − | 13.7401i | 0.258439 | − | 0.813896i | ||||
\(286\) | 0.886725 | 0.0524332 | ||||||||
\(287\) | −6.01628 | − | 5.04825i | −0.355130 | − | 0.297989i | ||||
\(288\) | 41.8951 | − | 15.2486i | 2.46869 | − | 0.898530i | ||||
\(289\) | −2.93052 | − | 16.6198i | −0.172383 | − | 0.977634i | ||||
\(290\) | 1.19613 | − | 6.78358i | 0.0702390 | − | 0.398345i | ||||
\(291\) | −37.9092 | − | 13.7978i | −2.22228 | − | 0.808843i | ||||
\(292\) | −11.5789 | − | 20.0553i | −0.677607 | − | 1.17365i | ||||
\(293\) | −0.536685 | + | 0.929566i | −0.0313535 | + | 0.0543058i | −0.881276 | − | 0.472601i | \(-0.843315\pi\) |
0.849923 | + | 0.526907i | \(0.176648\pi\) | |||||||
\(294\) | 9.50508 | − | 7.97571i | 0.554348 | − | 0.465153i | ||||
\(295\) | 0.467725 | − | 0.392468i | 0.0272320 | − | 0.0228504i | ||||
\(296\) | 11.8302 | − | 20.4906i | 0.687618 | − | 1.19099i | ||||
\(297\) | 4.71676 | + | 8.16967i | 0.273694 | + | 0.474053i | ||||
\(298\) | 19.0582 | + | 6.93662i | 1.10401 | + | 0.401827i | ||||
\(299\) | 0.479716 | − | 2.72061i | 0.0277427 | − | 0.157337i | ||||
\(300\) | 1.86303 | + | 10.5657i | 0.107562 | + | 0.610013i | ||||
\(301\) | −18.2235 | + | 6.63283i | −1.05039 | + | 0.382310i | ||||
\(302\) | 14.6856 | + | 12.3227i | 0.845062 | + | 0.709091i | ||||
\(303\) | −1.92095 | −0.110356 | ||||||||
\(304\) | 0.152631 | + | 0.0204097i | 0.00875400 | + | 0.00117058i | ||||
\(305\) | 1.02693 | 0.0588020 | ||||||||
\(306\) | −4.90037 | − | 4.11190i | −0.280135 | − | 0.235062i | ||||
\(307\) | 24.4039 | − | 8.88231i | 1.39281 | − | 0.506940i | 0.466772 | − | 0.884378i | \(-0.345417\pi\) |
0.926035 | + | 0.377438i | \(0.123195\pi\) | |||||||
\(308\) | 0.956284 | + | 5.42336i | 0.0544894 | + | 0.309025i | ||||
\(309\) | −3.71640 | + | 21.0768i | −0.211419 | + | 1.19901i | ||||
\(310\) | −0.640625 | − | 0.233168i | −0.0363850 | − | 0.0132431i | ||||
\(311\) | −9.52546 | − | 16.4986i | −0.540139 | − | 0.935548i | −0.998896 | − | 0.0469862i | \(-0.985038\pi\) |
0.458756 | − | 0.888562i | \(-0.348295\pi\) | |||||||
\(312\) | 3.15798 | − | 5.46978i | 0.178785 | − | 0.309666i | ||||
\(313\) | −11.7965 | + | 9.89844i | −0.666777 | + | 0.559493i | −0.912110 | − | 0.409946i | \(-0.865547\pi\) |
0.245332 | + | 0.969439i | \(0.421103\pi\) | |||||||
\(314\) | −27.8333 | + | 23.3549i | −1.57073 | + | 1.31800i | ||||
\(315\) | 11.6657 | − | 20.2055i | 0.657285 | − | 1.13845i | ||||
\(316\) | −2.50161 | − | 4.33291i | −0.140726 | − | 0.243745i | ||||
\(317\) | −24.0001 | − | 8.73532i | −1.34798 | − | 0.490624i | −0.435663 | − | 0.900110i | \(-0.643486\pi\) |
−0.912317 | + | 0.409485i | \(0.865708\pi\) | |||||||
\(318\) | −5.40077 | + | 30.6293i | −0.302860 | + | 1.71761i | ||||
\(319\) | −0.301700 | − | 1.71103i | −0.0168920 | − | 0.0957991i | ||||
\(320\) | 12.1520 | − | 4.42296i | 0.679316 | − | 0.247251i | ||||
\(321\) | 46.5635 | + | 39.0714i | 2.59892 | + | 2.18075i | ||||
\(322\) | 27.7349 | 1.54560 | ||||||||
\(323\) | 0.584120 | + | 1.41833i | 0.0325013 | + | 0.0789180i | ||||
\(324\) | 97.9707 | 5.44282 | ||||||||
\(325\) | −0.513554 | − | 0.430923i | −0.0284868 | − | 0.0239033i | ||||
\(326\) | −20.9217 | + | 7.61489i | −1.15875 | + | 0.421750i | ||||
\(327\) | −1.44133 | − | 8.17420i | −0.0797058 | − | 0.452034i | ||||
\(328\) | 1.32179 | − | 7.49625i | 0.0729837 | − | 0.413911i | ||||
\(329\) | 30.4700 | + | 11.0902i | 1.67987 | + | 0.611421i | ||||
\(330\) | 2.18726 | + | 3.78845i | 0.120405 | + | 0.208547i | ||||
\(331\) | −2.26589 | + | 3.92464i | −0.124545 | + | 0.215718i | −0.921555 | − | 0.388248i | \(-0.873080\pi\) |
0.797010 | + | 0.603966i | \(0.206414\pi\) | |||||||
\(332\) | 33.0969 | − | 27.7716i | 1.81643 | − | 1.52416i | ||||
\(333\) | −50.5089 | + | 42.3820i | −2.76787 | + | 2.32252i | ||||
\(334\) | −0.323056 | + | 0.559550i | −0.0176768 | + | 0.0306172i | ||||
\(335\) | 1.66796 | + | 2.88900i | 0.0911305 | + | 0.157843i | ||||
\(336\) | 0.322693 | + | 0.117451i | 0.0176043 | + | 0.00640746i | ||||
\(337\) | 3.53193 | − | 20.0306i | 0.192397 | − | 1.09114i | −0.723681 | − | 0.690135i | \(-0.757551\pi\) |
0.916078 | − | 0.401001i | \(-0.131338\pi\) | |||||||
\(338\) | −4.99072 | − | 28.3038i | −0.271459 | − | 1.53952i | ||||
\(339\) | 35.2388 | − | 12.8259i | 1.91391 | − | 0.696605i | ||||
\(340\) | −0.874479 | − | 0.733775i | −0.0474253 | − | 0.0397945i | ||||
\(341\) | −0.171955 | −0.00931191 | ||||||||
\(342\) | −70.2101 | − | 36.7305i | −3.79653 | − | 1.98616i | ||||
\(343\) | 15.7585 | 0.850880 | ||||||||
\(344\) | −14.3986 | − | 12.0819i | −0.776320 | − | 0.651410i | ||||
\(345\) | 12.8068 | − | 4.66131i | 0.689497 | − | 0.250956i | ||||
\(346\) | 6.01601 | + | 34.1185i | 0.323423 | + | 1.83422i | ||||
\(347\) | 4.73475 | − | 26.8521i | 0.254175 | − | 1.44150i | −0.544008 | − | 0.839080i | \(-0.683094\pi\) |
0.798182 | − | 0.602416i | \(-0.205795\pi\) | |||||||
\(348\) | −30.3258 | − | 11.0377i | −1.62563 | − | 0.591682i | ||||
\(349\) | −6.31115 | − | 10.9312i | −0.337828 | − | 0.585135i | 0.646196 | − | 0.763171i | \(-0.276359\pi\) |
−0.984024 | + | 0.178036i | \(0.943026\pi\) | |||||||
\(350\) | 3.36522 | − | 5.82874i | 0.179879 | − | 0.311559i | ||||
\(351\) | −8.38750 | + | 7.03795i | −0.447692 | + | 0.375658i | ||||
\(352\) | 2.48504 | − | 2.08520i | 0.132453 | − | 0.111142i | ||||
\(353\) | −15.3996 | + | 26.6728i | −0.819636 | + | 1.41965i | 0.0863140 | + | 0.996268i | \(0.472491\pi\) |
−0.905950 | + | 0.423384i | \(0.860842\pi\) | |||||||
\(354\) | −2.31212 | − | 4.00471i | −0.122888 | − | 0.212848i | ||||
\(355\) | 12.4272 | + | 4.52312i | 0.659565 | + | 0.240062i | ||||
\(356\) | −3.70166 | + | 20.9931i | −0.196187 | + | 1.11263i | ||||
\(357\) | 0.593991 | + | 3.36869i | 0.0314373 | + | 0.178290i | ||||
\(358\) | 31.1015 | − | 11.3200i | 1.64377 | − | 0.598282i | ||||
\(359\) | −13.2039 | − | 11.0794i | −0.696877 | − | 0.584749i | 0.224007 | − | 0.974588i | \(-0.428086\pi\) |
−0.920883 | + | 0.389839i | \(0.872531\pi\) | |||||||
\(360\) | 22.6130 | 1.19181 | ||||||||
\(361\) | 10.8347 | + | 15.6080i | 0.570245 | + | 0.821475i | ||||
\(362\) | −15.9493 | −0.838278 | ||||||||
\(363\) | −27.0237 | − | 22.6756i | −1.41838 | − | 1.19016i | ||||
\(364\) | −6.00630 | + | 2.18612i | −0.314816 | + | 0.114584i | ||||
\(365\) | 1.23964 | + | 7.03033i | 0.0648856 | + | 0.367984i | ||||
\(366\) | 1.35056 | − | 7.65943i | 0.0705951 | − | 0.400365i | ||||
\(367\) | 28.2788 | + | 10.2927i | 1.47614 | + | 0.537272i | 0.949761 | − | 0.312975i | \(-0.101326\pi\) |
0.526383 | + | 0.850248i | \(0.323548\pi\) | |||||||
\(368\) | 0.0727893 | + | 0.126075i | 0.00379440 | + | 0.00657210i | ||||
\(369\) | −10.6061 | + | 18.3702i | −0.552129 | + | 0.956315i | ||||
\(370\) | −14.5704 | + | 12.2261i | −0.757481 | + | 0.635602i | ||||
\(371\) | 9.24594 | − | 7.75826i | 0.480025 | − | 0.402789i | ||||
\(372\) | −1.59701 | + | 2.76610i | −0.0828010 | + | 0.143416i | ||||
\(373\) | 3.06676 | + | 5.31178i | 0.158791 | + | 0.275034i | 0.934433 | − | 0.356139i | \(-0.115907\pi\) |
−0.775642 | + | 0.631173i | \(0.782574\pi\) | |||||||
\(374\) | −0.437385 | − | 0.159195i | −0.0226166 | − | 0.00823178i | ||||
\(375\) | 0.574307 | − | 3.25706i | 0.0296571 | − | 0.168194i | ||||
\(376\) | 5.45728 | + | 30.9498i | 0.281438 | + | 1.59611i | ||||
\(377\) | 1.89494 | − | 0.689702i | 0.0975944 | − | 0.0355215i | ||||
\(378\) | −84.2063 | − | 70.6575i | −4.33110 | − | 3.63423i | ||||
\(379\) | 30.8958 | 1.58701 | 0.793505 | − | 0.608564i | \(-0.208254\pi\) | ||||
0.793505 | + | 0.608564i | \(0.208254\pi\) | |||||||
\(380\) | −12.5291 | − | 6.55461i | −0.642730 | − | 0.336245i | ||||
\(381\) | 63.4741 | 3.25187 | ||||||||
\(382\) | 9.63153 | + | 8.08181i | 0.492792 | + | 0.413501i | ||||
\(383\) | −4.37066 | + | 1.59079i | −0.223330 | + | 0.0812855i | −0.451262 | − | 0.892392i | \(-0.649026\pi\) |
0.227932 | + | 0.973677i | \(0.426804\pi\) | |||||||
\(384\) | −10.5563 | − | 59.8677i | −0.538698 | − | 3.05511i | ||||
\(385\) | 0.294790 | − | 1.67184i | 0.0150239 | − | 0.0852047i | ||||
\(386\) | 13.9373 | + | 5.07277i | 0.709391 | + | 0.258197i | ||||
\(387\) | 26.1895 | + | 45.3615i | 1.33129 | + | 2.30586i | ||||
\(388\) | −19.7847 | + | 34.2681i | −1.00442 | + | 1.73970i | ||||
\(389\) | −12.3923 | + | 10.3984i | −0.628315 | + | 0.527219i | −0.900405 | − | 0.435053i | \(-0.856730\pi\) |
0.272090 | + | 0.962272i | \(0.412285\pi\) | |||||||
\(390\) | −3.88946 | + | 3.26364i | −0.196950 | + | 0.165261i | ||||
\(391\) | −0.725059 | + | 1.25584i | −0.0366678 | + | 0.0635105i | ||||
\(392\) | −2.33347 | − | 4.04169i | −0.117858 | − | 0.204136i | ||||
\(393\) | 21.2894 | + | 7.74870i | 1.07391 | + | 0.390870i | ||||
\(394\) | −3.69596 | + | 20.9609i | −0.186200 | + | 1.05599i | ||||
\(395\) | 0.267821 | + | 1.51889i | 0.0134755 | + | 0.0764236i | ||||
\(396\) | 13.9770 | − | 5.08720i | 0.702368 | − | 0.255641i | ||||
\(397\) | −7.61069 | − | 6.38613i | −0.381970 | − | 0.320511i | 0.431506 | − | 0.902110i | \(-0.357983\pi\) |
−0.813475 | + | 0.581600i | \(0.802427\pi\) | |||||||
\(398\) | −55.6619 | −2.79008 | ||||||||
\(399\) | 16.1350 | + | 39.1782i | 0.807762 | + | 1.96137i | ||||
\(400\) | 0.0353277 | 0.00176638 | ||||||||
\(401\) | −9.90801 | − | 8.31381i | −0.494783 | − | 0.415172i | 0.360954 | − | 0.932584i | \(-0.382451\pi\) |
−0.855737 | + | 0.517412i | \(0.826896\pi\) | |||||||
\(402\) | 23.7413 | − | 8.64114i | 1.18411 | − | 0.430981i | ||||
\(403\) | −0.0346570 | − | 0.196550i | −0.00172639 | − | 0.00979083i | ||||
\(404\) | −0.327180 | + | 1.85553i | −0.0162778 | + | 0.0923162i | ||||
\(405\) | −28.3797 | − | 10.3294i | −1.41020 | − | 0.513270i | ||||
\(406\) | 10.1226 | + | 17.5329i | 0.502376 | + | 0.870141i | ||||
\(407\) | −2.39876 | + | 4.15478i | −0.118902 | + | 0.205945i | ||||
\(408\) | −2.53970 | + | 2.13106i | −0.125734 | + | 0.105503i | ||||
\(409\) | −4.78036 | + | 4.01120i | −0.236373 | + | 0.198341i | −0.753278 | − | 0.657702i | \(-0.771529\pi\) |
0.516905 | + | 0.856043i | \(0.327084\pi\) | |||||||
\(410\) | −3.05956 | + | 5.29931i | −0.151101 | + | 0.261714i | ||||
\(411\) | −21.8973 | − | 37.9272i | −1.08011 | − | 1.87081i | ||||
\(412\) | 19.7260 | + | 7.17968i | 0.971830 | + | 0.353717i | ||||
\(413\) | −0.311617 | + | 1.76727i | −0.0153337 | + | 0.0869616i | ||||
\(414\) | −13.0079 | − | 73.7714i | −0.639302 | − | 3.62566i | ||||
\(415\) | −12.5154 | + | 4.55523i | −0.614356 | + | 0.223607i | ||||
\(416\) | 2.88429 | + | 2.42020i | 0.141414 | + | 0.118660i | ||||
\(417\) | 9.62385 | 0.471282 | ||||||||
\(418\) | −5.71459 | − | 0.764149i | −0.279510 | − | 0.0373758i | ||||
\(419\) | −30.5403 | −1.49199 | −0.745995 | − | 0.665951i | \(-0.768026\pi\) | ||||
−0.745995 | + | 0.665951i | \(0.768026\pi\) | |||||||
\(420\) | −24.1556 | − | 20.2689i | −1.17867 | − | 0.989022i | ||||
\(421\) | −34.3641 | + | 12.5075i | −1.67480 | + | 0.609578i | −0.992583 | − | 0.121569i | \(-0.961207\pi\) |
−0.682219 | + | 0.731148i | \(0.738985\pi\) | |||||||
\(422\) | 9.53063 | + | 54.0509i | 0.463944 | + | 2.63115i | ||||
\(423\) | 15.2078 | − | 86.2478i | 0.739430 | − | 4.19351i | ||||
\(424\) | 10.9926 | + | 4.00099i | 0.533850 | + | 0.194305i | ||||
\(425\) | 0.175951 | + | 0.304755i | 0.00853486 | + | 0.0147828i | ||||
\(426\) | 50.0794 | − | 86.7401i | 2.42636 | − | 4.20257i | ||||
\(427\) | −2.31212 | + | 1.94010i | −0.111891 | + | 0.0938880i | ||||
\(428\) | 45.6716 | − | 38.3230i | 2.20762 | − | 1.85241i | ||||
\(429\) | −0.640329 | + | 1.10908i | −0.0309154 | + | 0.0535470i | ||||
\(430\) | 7.55495 | + | 13.0856i | 0.364332 | + | 0.631042i | ||||
\(431\) | −22.4618 | − | 8.17542i | −1.08195 | − | 0.393796i | −0.261314 | − | 0.965254i | \(-0.584156\pi\) |
−0.820631 | + | 0.571458i | \(0.806378\pi\) | |||||||
\(432\) | 0.100192 | − | 0.568216i | 0.00482048 | − | 0.0273383i | ||||
\(433\) | −2.54471 | − | 14.4318i | −0.122291 | − | 0.693547i | −0.982880 | − | 0.184247i | \(-0.941015\pi\) |
0.860589 | − | 0.509300i | \(-0.170096\pi\) | |||||||
\(434\) | 1.88286 | − | 0.685305i | 0.0903802 | − | 0.0328957i | ||||
\(435\) | 7.62089 | + | 6.39469i | 0.365394 | + | 0.306602i | ||||
\(436\) | −8.14132 | −0.389898 | ||||||||
\(437\) | −5.43611 | + | 17.1198i | −0.260044 | + | 0.818953i | ||||
\(438\) | 54.0664 | 2.58339 | ||||||||
\(439\) | −13.0414 | − | 10.9430i | −0.622433 | − | 0.522283i | 0.276134 | − | 0.961119i | \(-0.410947\pi\) |
−0.898567 | + | 0.438836i | \(0.855391\pi\) | |||||||
\(440\) | 1.54613 | − | 0.562747i | 0.0737090 | − | 0.0268279i | ||||
\(441\) | 2.25836 | + | 12.8078i | 0.107541 | + | 0.609896i | ||||
\(442\) | 0.0938107 | − | 0.532027i | 0.00446212 | − | 0.0253059i | ||||
\(443\) | 33.8207 | + | 12.3097i | 1.60687 | + | 0.584854i | 0.980818 | − | 0.194926i | \(-0.0624467\pi\) |
0.626054 | + | 0.779780i | \(0.284669\pi\) | |||||||
\(444\) | 44.5562 | + | 77.1736i | 2.11454 | + | 3.66250i | ||||
\(445\) | 3.28565 | − | 5.69091i | 0.155755 | − | 0.269775i | ||||
\(446\) | 36.0825 | − | 30.2768i | 1.70856 | − | 1.43365i | ||||
\(447\) | −22.4385 | + | 18.8282i | −1.06131 | + | 0.890542i | ||||
\(448\) | −19.0040 | + | 32.9160i | −0.897856 | + | 1.55513i | ||||
\(449\) | −1.77883 | − | 3.08102i | −0.0839481 | − | 0.145402i | 0.820994 | − | 0.570936i | \(-0.193420\pi\) |
−0.904942 | + | 0.425534i | \(0.860086\pi\) | |||||||
\(450\) | −17.0820 | − | 6.21735i | −0.805255 | − | 0.293089i | ||||
\(451\) | −0.268014 | + | 1.51998i | −0.0126203 | + | 0.0715731i | ||||
\(452\) | −6.38713 | − | 36.2232i | −0.300425 | − | 1.70380i | ||||
\(453\) | −26.0177 | + | 9.46966i | −1.22242 | + | 0.444923i | ||||
\(454\) | 22.2697 | + | 18.6865i | 1.04517 | + | 0.877001i | ||||
\(455\) | 1.97037 | 0.0923721 | ||||||||
\(456\) | −25.0656 | + | 32.5292i | −1.17380 | + | 1.52332i | ||||
\(457\) | −4.61695 | −0.215972 | −0.107986 | − | 0.994152i | \(-0.534440\pi\) | ||||
−0.107986 | + | 0.994152i | \(0.534440\pi\) | |||||||
\(458\) | 10.1046 | + | 8.47879i | 0.472158 | + | 0.396188i | ||||
\(459\) | 5.40074 | − | 1.96571i | 0.252085 | − | 0.0917514i | ||||
\(460\) | −2.32128 | − | 13.1646i | −0.108230 | − | 0.613804i | ||||
\(461\) | −5.06596 | + | 28.7305i | −0.235945 | + | 1.33811i | 0.604669 | + | 0.796477i | \(0.293305\pi\) |
−0.840614 | + | 0.541634i | \(0.817806\pi\) | |||||||
\(462\) | −12.0818 | − | 4.39741i | −0.562096 | − | 0.204586i | ||||
\(463\) | 8.81888 | + | 15.2747i | 0.409848 | + | 0.709877i | 0.994872 | − | 0.101138i | \(-0.0322484\pi\) |
−0.585024 | + | 0.811016i | \(0.698915\pi\) | |||||||
\(464\) | −0.0531328 | + | 0.0920288i | −0.00246663 | + | 0.00427233i | ||||
\(465\) | 0.754252 | − | 0.632892i | 0.0349776 | − | 0.0293497i | ||||
\(466\) | −4.87413 | + | 4.08988i | −0.225790 | + | 0.189460i | ||||
\(467\) | −8.47175 | + | 14.6735i | −0.392026 | + | 0.679009i | −0.992717 | − | 0.120473i | \(-0.961559\pi\) |
0.600691 | + | 0.799482i | \(0.294892\pi\) | |||||||
\(468\) | 8.63180 | + | 14.9507i | 0.399005 | + | 0.691097i | ||||
\(469\) | −9.21333 | − | 3.35338i | −0.425432 | − | 0.154845i | ||||
\(470\) | 4.38704 | − | 24.8802i | 0.202359 | − | 1.14764i | ||||
\(471\) | −9.11226 | − | 51.6782i | −0.419871 | − | 2.38120i | ||||
\(472\) | −1.63439 | + | 0.594870i | −0.0752290 | + | 0.0273811i | ||||
\(473\) | 2.91954 | + | 2.44978i | 0.134240 | + | 0.112641i | ||||
\(474\) | 11.6809 | 0.536523 | ||||||||
\(475\) | 2.93830 | + | 3.21969i | 0.134818 | + | 0.147730i | ||||
\(476\) | 3.35514 | 0.153782 | ||||||||
\(477\) | −24.9724 | − | 20.9544i | −1.14341 | − | 0.959434i | ||||
\(478\) | −41.8726 | + | 15.2404i | −1.91521 | + | 0.697078i | ||||
\(479\) | −2.51117 | − | 14.2416i | −0.114738 | − | 0.650714i | −0.986879 | − | 0.161459i | \(-0.948380\pi\) |
0.872141 | − | 0.489255i | \(-0.162731\pi\) | |||||||
\(480\) | −3.22550 | + | 18.2927i | −0.147223 | + | 0.834944i | ||||
\(481\) | −5.23248 | − | 1.90447i | −0.238580 | − | 0.0868362i | ||||
\(482\) | 8.28927 | + | 14.3574i | 0.377566 | + | 0.653964i | ||||
\(483\) | −20.0282 | + | 34.6898i | −0.911312 | + | 1.57844i | ||||
\(484\) | −26.5061 | + | 22.2412i | −1.20482 | + | 1.01097i | ||||
\(485\) | 9.34414 | − | 7.84066i | 0.424296 | − | 0.356026i | ||||
\(486\) | −58.2649 | + | 100.918i | −2.64295 | + | 4.57772i | ||||
\(487\) | 0.165966 | + | 0.287462i | 0.00752064 | + | 0.0130261i | 0.869761 | − | 0.493473i | \(-0.164273\pi\) |
−0.862241 | + | 0.506499i | \(0.830939\pi\) | |||||||
\(488\) | −2.74891 | − | 1.00052i | −0.124437 | − | 0.0452915i | ||||
\(489\) | 5.58376 | − | 31.6671i | 0.252506 | − | 1.43203i | ||||
\(490\) | 0.651476 | + | 3.69470i | 0.0294307 | + | 0.166910i | ||||
\(491\) | 3.14034 | − | 1.14299i | 0.141721 | − | 0.0515824i | −0.270186 | − | 0.962808i | \(-0.587085\pi\) |
0.411907 | + | 0.911226i | \(0.364863\pi\) | |||||||
\(492\) | 21.9615 | + | 18.4279i | 0.990100 | + | 0.830792i | ||||
\(493\) | −1.05852 | −0.0476733 | ||||||||
\(494\) | −0.278313 | − | 6.68594i | −0.0125219 | − | 0.300815i | ||||
\(495\) | −4.58513 | −0.206086 | ||||||||
\(496\) | 0.00805671 | + | 0.00676038i | 0.000361757 | + | 0.000303550i | ||||
\(497\) | −36.5247 | + | 13.2939i | −1.63836 | + | 0.596313i | ||||
\(498\) | 17.5159 | + | 99.3375i | 0.784905 | + | 4.45142i | ||||
\(499\) | −2.44695 | + | 13.8773i | −0.109540 | + | 0.621235i | 0.879769 | + | 0.475402i | \(0.157697\pi\) |
−0.989309 | + | 0.145833i | \(0.953414\pi\) | |||||||
\(500\) | −3.04832 | − | 1.10950i | −0.136325 | − | 0.0496182i | ||||
\(501\) | −0.466576 | − | 0.808133i | −0.0208451 | − | 0.0361047i | ||||
\(502\) | −17.0097 | + | 29.4617i | −0.759180 | + | 1.31494i | ||||
\(503\) | −2.83896 | + | 2.38217i | −0.126583 | + | 0.106216i | −0.703881 | − | 0.710318i | \(-0.748551\pi\) |
0.577299 | + | 0.816533i | \(0.304107\pi\) | |||||||
\(504\) | −50.9128 | + | 42.7209i | −2.26784 | + | 1.90294i | ||||
\(505\) | 0.290411 | − | 0.503006i | 0.0129231 | − | 0.0223835i | ||||
\(506\) | −2.72527 | − | 4.72030i | −0.121153 | − | 0.209843i | ||||
\(507\) | 39.0052 | + | 14.1967i | 1.73228 | + | 0.630500i | ||||
\(508\) | 10.8110 | − | 61.3124i | 0.479662 | − | 2.72030i | ||||
\(509\) | 6.13731 | + | 34.8064i | 0.272032 | + | 1.54277i | 0.748236 | + | 0.663433i | \(0.230901\pi\) |
−0.476204 | + | 0.879335i | \(0.657988\pi\) | |||||||
\(510\) | 2.50444 | − | 0.911540i | 0.110898 | − | 0.0403637i | ||||
\(511\) | −16.0729 | − | 13.4867i | −0.711021 | − | 0.596618i | ||||
\(512\) | −0.399682 | −0.0176636 | ||||||||
\(513\) | 60.1192 | − | 38.1287i | 2.65433 | − | 1.68342i | ||||
\(514\) | 45.2401 | 1.99546 | ||||||||
\(515\) | −4.95716 | − | 4.15955i | −0.218438 | − | 0.183292i | ||||
\(516\) | 66.5222 | − | 24.2121i | 2.92848 | − | 1.06588i | ||||
\(517\) | −1.10655 | − | 6.27554i | −0.0486659 | − | 0.275998i | ||||
\(518\) | 9.70742 | − | 55.0535i | 0.426520 | − | 2.41891i | ||||
\(519\) | −47.0185 | − | 17.1133i | −2.06388 | − | 0.751191i | ||||
\(520\) | 0.954851 | + | 1.65385i | 0.0418730 | + | 0.0725261i | ||||
\(521\) | −2.52454 | + | 4.37264i | −0.110602 | + | 0.191569i | −0.916013 | − | 0.401148i | \(-0.868611\pi\) |
0.805411 | + | 0.592717i | \(0.201945\pi\) | |||||||
\(522\) | 41.8876 | − | 35.1479i | 1.83337 | − | 1.53838i | ||||
\(523\) | 17.8994 | − | 15.0194i | 0.782686 | − | 0.656752i | −0.161238 | − | 0.986916i | \(-0.551549\pi\) |
0.943924 | + | 0.330164i | \(0.107104\pi\) | |||||||
\(524\) | 11.1109 | − | 19.2446i | 0.485380 | − | 0.840704i | ||||
\(525\) | 4.86025 | + | 8.41820i | 0.212119 | + | 0.367400i | ||||
\(526\) | −25.5023 | − | 9.28209i | −1.11195 | − | 0.404718i | ||||
\(527\) | −0.0181920 | + | 0.103172i | −0.000792454 | + | 0.00449423i | ||||
\(528\) | −0.0117189 | − | 0.0664612i | −0.000510000 | − | 0.00289235i | ||||
\(529\) | 5.65596 | − | 2.05860i | 0.245911 | − | 0.0895043i | ||||
\(530\) | −7.20387 | − | 6.04476i | −0.312916 | − | 0.262568i | ||||
\(531\) | 4.84687 | 0.210336 | ||||||||
\(532\) | 40.5922 | − | 8.91262i | 1.75989 | − | 0.386411i | ||||
\(533\) | −1.79139 | −0.0775939 | ||||||||
\(534\) | −38.1249 | − | 31.9906i | −1.64982 | − | 1.38437i | ||||
\(535\) | −17.2705 | + | 6.28593i | −0.746667 | + | 0.271764i | ||||
\(536\) | −1.65014 | − | 9.35839i | −0.0712751 | − | 0.404221i | ||||
\(537\) | −8.30062 | + | 47.0752i | −0.358198 | + | 2.03144i | ||||
\(538\) | 23.4033 | + | 8.51811i | 1.00899 | + | 0.367242i | ||||
\(539\) | 0.473147 | + | 0.819515i | 0.0203799 | + | 0.0352990i | ||||
\(540\) | −26.4906 | + | 45.8830i | −1.13997 | + | 1.97449i | ||||
\(541\) | 24.3992 | − | 20.4734i | 1.04900 | − | 0.880219i | 0.0560152 | − | 0.998430i | \(-0.482160\pi\) |
0.992988 | + | 0.118211i | \(0.0377160\pi\) | |||||||
\(542\) | −10.3016 | + | 8.64403i | −0.442490 | + | 0.371293i | ||||
\(543\) | 11.5175 | − | 19.9488i | 0.494262 | − | 0.856086i | ||||
\(544\) | −0.988197 | − | 1.71161i | −0.0423686 | − | 0.0733845i | ||||
\(545\) | 2.35834 | + | 0.858364i | 0.101020 | + | 0.0367683i | ||||
\(546\) | 2.59131 | − | 14.6961i | 0.110898 | − | 0.628934i | ||||
\(547\) | 5.15875 | + | 29.2567i | 0.220572 | + | 1.25093i | 0.870971 | + | 0.491334i | \(0.163490\pi\) |
−0.650399 | + | 0.759593i | \(0.725398\pi\) | |||||||
\(548\) | −40.3651 | + | 14.6917i | −1.72431 | + | 0.627599i | ||||
\(549\) | 6.24483 | + | 5.24003i | 0.266523 | + | 0.223639i | ||||
\(550\) | −1.32269 | −0.0563996 | ||||||||
\(551\) | −12.8065 | + | 2.81186i | −0.545576 | + | 0.119789i | ||||
\(552\) | −38.8231 | −1.65242 | ||||||||
\(553\) | −3.47251 | − | 2.91378i | −0.147666 | − | 0.123906i | ||||
\(554\) | 51.2418 | − | 18.6505i | 2.17706 | − | 0.792384i | ||||
\(555\) | −4.77017 | − | 27.0530i | −0.202482 | − | 1.14833i | ||||
\(556\) | 1.63915 | − | 9.29611i | 0.0695156 | − | 0.394243i | ||||
\(557\) | 20.3389 | + | 7.40274i | 0.861785 | + | 0.313664i | 0.734836 | − | 0.678245i | \(-0.237259\pi\) |
0.126950 | + | 0.991909i | \(0.459481\pi\) | |||||||
\(558\) | −2.70590 | − | 4.68676i | −0.114550 | − | 0.198407i | ||||
\(559\) | −2.21174 | + | 3.83085i | −0.0935467 | + | 0.162028i | ||||
\(560\) | −0.0795397 | + | 0.0667417i | −0.00336116 | + | 0.00282035i | ||||
\(561\) | 0.514963 | − | 0.432105i | 0.0217418 | − | 0.0182435i | ||||
\(562\) | 8.17427 | − | 14.1583i | 0.344811 | − | 0.597230i | ||||
\(563\) | 2.96419 | + | 5.13413i | 0.124926 | + | 0.216378i | 0.921704 | − | 0.387894i | \(-0.126797\pi\) |
−0.796778 | + | 0.604272i | \(0.793464\pi\) | |||||||
\(564\) | −111.226 | − | 40.4830i | −4.68346 | − | 1.70464i | ||||
\(565\) | −1.96893 | + | 11.1664i | −0.0828337 | + | 0.469773i | ||||
\(566\) | 10.6308 | + | 60.2904i | 0.446847 | + | 2.53420i | ||||
\(567\) | 83.4107 | − | 30.3590i | 3.50292 | − | 1.27496i | ||||
\(568\) | −28.8585 | − | 24.2151i | −1.21088 | − | 1.01605i | ||||
\(569\) | −5.27877 | −0.221297 | −0.110649 | − | 0.993860i | \(-0.535293\pi\) | ||||
−0.110649 | + | 0.993860i | \(0.535293\pi\) | |||||||
\(570\) | 27.8785 | − | 17.6811i | 1.16770 | − | 0.740580i | ||||
\(571\) | 16.5322 | 0.691852 | 0.345926 | − | 0.938262i | \(-0.387565\pi\) | ||||
0.345926 | + | 0.938262i | \(0.387565\pi\) | |||||||
\(572\) | 0.962251 | + | 0.807424i | 0.0402337 | + | 0.0337601i | ||||
\(573\) | −17.0636 | + | 6.21065i | −0.712843 | + | 0.259454i | ||||
\(574\) | −3.12301 | − | 17.7115i | −0.130352 | − | 0.739263i | ||||
\(575\) | −0.715571 | + | 4.05820i | −0.0298414 | + | 0.169239i | ||||
\(576\) | 96.4654 | + | 35.1105i | 4.01939 | + | 1.46294i | ||||
\(577\) | −18.1317 | − | 31.4050i | −0.754832 | − | 1.30741i | −0.945458 | − | 0.325745i | \(-0.894385\pi\) |
0.190625 | − | 0.981663i | \(-0.438948\pi\) | |||||||
\(578\) | 19.3229 | − | 33.4683i | 0.803728 | − | 1.39210i | ||||
\(579\) | −16.4094 | + | 13.7691i | −0.681950 | + | 0.572224i | ||||
\(580\) | 7.47492 | − | 6.27220i | 0.310379 | − | 0.260439i | ||||
\(581\) | 19.5723 | − | 33.9003i | 0.811998 | − | 1.40642i | ||||
\(582\) | −46.1911 | − | 80.0054i | −1.91468 | − | 3.31633i | ||||
\(583\) | −2.22893 | − | 0.811263i | −0.0923127 | − | 0.0335991i | ||||
\(584\) | 3.53125 | − | 20.0267i | 0.146124 | − | 0.828711i | ||||
\(585\) | −0.924117 | − | 5.24093i | −0.0382075 | − | 0.216686i | ||||
\(586\) | −2.30975 | + | 0.840680i | −0.0954148 | + | 0.0347282i | ||||
\(587\) | −20.4165 | − | 17.1315i | −0.842680 | − | 0.707093i | 0.115485 | − | 0.993309i | \(-0.463158\pi\) |
−0.958165 | + | 0.286217i | \(0.907602\pi\) | |||||||
\(588\) | 17.5771 | 0.724867 | ||||||||
\(589\) | 0.0539709 | + | 1.29655i | 0.00222383 | + | 0.0534234i | ||||
\(590\) | 1.39819 | 0.0575626 | ||||||||
\(591\) | −23.5481 | − | 19.7592i | −0.968640 | − | 0.812785i | ||||
\(592\) | 0.275734 | − | 0.100359i | 0.0113326 | − | 0.00412473i | ||||
\(593\) | −4.80721 | − | 27.2630i | −0.197408 | − | 1.11956i | −0.908947 | − | 0.416911i | \(-0.863113\pi\) |
0.711539 | − | 0.702647i | \(-0.247999\pi\) | |||||||
\(594\) | −3.75123 | + | 21.2743i | −0.153915 | + | 0.872895i | ||||
\(595\) | −0.971899 | − | 0.353742i | −0.0398440 | − | 0.0145020i | ||||
\(596\) | 14.3652 | + | 24.8812i | 0.588421 | + | 1.01918i | ||||
\(597\) | 40.1951 | − | 69.6199i | 1.64507 | − | 2.84935i | ||||
\(598\) | 4.84616 | − | 4.06641i | 0.198174 | − | 0.166288i | ||||
\(599\) | −26.3171 | + | 22.0826i | −1.07529 | + | 0.902272i | −0.995521 | − | 0.0945415i | \(-0.969862\pi\) |
−0.0797652 | + | 0.996814i | \(0.525417\pi\) | |||||||
\(600\) | −4.71061 | + | 8.15902i | −0.192310 | + | 0.333091i | ||||
\(601\) | −8.44516 | − | 14.6274i | −0.344485 | − | 0.596666i | 0.640775 | − | 0.767729i | \(-0.278613\pi\) |
−0.985260 | + | 0.171063i | \(0.945280\pi\) | |||||||
\(602\) | −41.7313 | − | 15.1890i | −1.70084 | − | 0.619056i | ||||
\(603\) | −4.59845 | + | 26.0791i | −0.187263 | + | 1.06202i | ||||
\(604\) | 4.71578 | + | 26.7445i | 0.191882 | + | 1.08822i | ||||
\(605\) | 10.0231 | − | 3.64812i | 0.407498 | − | 0.148317i | ||||
\(606\) | −3.36977 | − | 2.82757i | −0.136887 | − | 0.114862i | ||||
\(607\) | −4.71187 | −0.191249 | −0.0956245 | − | 0.995417i | \(-0.530485\pi\) | ||||
−0.0956245 | + | 0.995417i | \(0.530485\pi\) | |||||||
\(608\) | −16.5024 | − | 18.0828i | −0.669262 | − | 0.733356i | ||||
\(609\) | −29.2393 | −1.18483 | ||||||||
\(610\) | 1.80146 | + | 1.51161i | 0.0729391 | + | 0.0612031i | ||||
\(611\) | 6.95008 | − | 2.52962i | 0.281170 | − | 0.102338i | ||||
\(612\) | −1.57359 | − | 8.92424i | −0.0636084 | − | 0.360741i | ||||
\(613\) | −7.12765 | + | 40.4229i | −0.287883 | + | 1.63267i | 0.406919 | + | 0.913464i | \(0.366603\pi\) |
−0.694802 | + | 0.719201i | \(0.744508\pi\) | |||||||
\(614\) | 55.8842 | + | 20.3402i | 2.25530 | + | 0.820864i | ||||
\(615\) | −4.41879 | − | 7.65356i | −0.178183 | − | 0.308621i | ||||
\(616\) | −2.41794 | + | 4.18800i | −0.0974216 | + | 0.168739i | ||||
\(617\) | −4.96251 | + | 4.16404i | −0.199783 | + | 0.167638i | −0.737191 | − | 0.675685i | \(-0.763848\pi\) |
0.537408 | + | 0.843323i | \(0.319404\pi\) | |||||||
\(618\) | −37.5436 | + | 31.5028i | −1.51022 | + | 1.26723i | ||||
\(619\) | 18.3222 | − | 31.7349i | 0.736429 | − | 1.27553i | −0.217664 | − | 0.976024i | \(-0.569844\pi\) |
0.954093 | − | 0.299509i | \(-0.0968230\pi\) | |||||||
\(620\) | −0.482873 | − | 0.836361i | −0.0193927 | − | 0.0335891i | ||||
\(621\) | 63.2433 | + | 23.0187i | 2.53787 | + | 0.923708i | ||||
\(622\) | 7.57557 | − | 42.9632i | 0.303753 | − | 1.72267i | ||||
\(623\) | 3.35379 | + | 19.0203i | 0.134367 | + | 0.762032i | ||||
\(624\) | 0.0736049 | − | 0.0267900i | 0.00294656 | − | 0.00107246i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | −35.2637 | −1.40942 | ||||||||
\(627\) | 5.08244 | − | 6.59579i | 0.202973 | − | 0.263410i | ||||
\(628\) | −51.4703 | −2.05389 | ||||||||
\(629\) | 2.23905 | + | 1.87879i | 0.0892769 | + | 0.0749122i | ||||
\(630\) | 50.2059 | − | 18.2734i | 2.00025 | − | 0.728031i | ||||
\(631\) | −2.62539 | − | 14.8893i | −0.104515 | − | 0.592734i | −0.991413 | − | 0.130769i | \(-0.958256\pi\) |
0.886898 | − | 0.461965i | \(-0.152856\pi\) | |||||||
\(632\) | 0.762919 | − | 4.32673i | 0.0303473 | − | 0.172108i | ||||
\(633\) | −74.4872 | − | 27.1111i | −2.96060 | − | 1.07757i | ||||
\(634\) | −29.2433 | − | 50.6509i | −1.16140 | − | 2.01160i | ||||
\(635\) | −9.59605 | + | 16.6208i | −0.380808 | + | 0.659578i | ||||
\(636\) | −33.7509 | + | 28.3203i | −1.33831 | + | 1.12297i | ||||
\(637\) | −0.841366 | + | 0.705990i | −0.0333361 | + | 0.0279723i | ||||
\(638\) | 1.98932 | − | 3.44561i | 0.0787580 | − | 0.136413i | ||||
\(639\) | 52.4905 | + | 90.9162i | 2.07649 | + | 3.59659i | ||||
\(640\) | 17.2724 | + | 6.28664i | 0.682752 | + | 0.248501i | ||||
\(641\) | −1.83609 | + | 10.4130i | −0.0725210 | + | 0.411287i | 0.926837 | + | 0.375464i | \(0.122517\pi\) |
−0.999358 | + | 0.0358234i | \(0.988595\pi\) | |||||||
\(642\) | 24.1708 | + | 137.080i | 0.953946 | + | 5.41010i | ||||
\(643\) | 3.28323 | − | 1.19500i | 0.129478 | − | 0.0471261i | −0.276469 | − | 0.961023i | \(-0.589164\pi\) |
0.405946 | + | 0.913897i | \(0.366942\pi\) | |||||||
\(644\) | 30.0972 | + | 25.2545i | 1.18599 | + | 0.995168i | ||||
\(645\) | −21.8226 | −0.859263 | ||||||||
\(646\) | −1.06306 | + | 3.34786i | −0.0418254 | + | 0.131720i | ||||
\(647\) | 21.5689 | 0.847961 | 0.423981 | − | 0.905671i | \(-0.360632\pi\) | ||||
0.423981 | + | 0.905671i | \(0.360632\pi\) | |||||||
\(648\) | 65.9036 | + | 55.2997i | 2.58894 | + | 2.17238i | ||||
\(649\) | 0.331398 | − | 0.120619i | 0.0130085 | − | 0.00473471i | ||||
\(650\) | −0.266583 | − | 1.51186i | −0.0104562 | − | 0.0593002i | ||||
\(651\) | −0.502513 | + | 2.84989i | −0.0196950 | + | 0.111696i | ||||
\(652\) | −29.6376 | − | 10.7872i | −1.16070 | − | 0.422459i | ||||
\(653\) | 13.9890 | + | 24.2297i | 0.547432 | + | 0.948181i | 0.998449 | + | 0.0556654i | \(0.0177280\pi\) |
−0.451017 | + | 0.892515i | \(0.648939\pi\) | |||||||
\(654\) | 9.50371 | − | 16.4609i | 0.371625 | − | 0.643673i | ||||
\(655\) | −5.24756 | + | 4.40322i | −0.205039 | + | 0.172048i | ||||
\(656\) | 0.0723150 | − | 0.0606795i | 0.00282343 | − | 0.00236914i | ||||
\(657\) | −28.3347 | + | 49.0772i | −1.10544 | + | 1.91468i | ||||
\(658\) | 37.1267 | + | 64.3053i | 1.44735 | + | 2.50688i | ||||
\(659\) | −5.32402 | − | 1.93779i | −0.207395 | − | 0.0754854i | 0.236234 | − | 0.971696i | \(-0.424087\pi\) |
−0.443629 | + | 0.896211i | \(0.646309\pi\) | |||||||
\(660\) | −1.07608 | + | 6.10278i | −0.0418865 | + | 0.237550i | ||||
\(661\) | −0.0226150 | − | 0.128256i | −0.000879623 | − | 0.00498859i | 0.984365 | − | 0.176142i | \(-0.0563618\pi\) |
−0.985244 | + | 0.171153i | \(0.945251\pi\) | |||||||
\(662\) | −9.75178 | + | 3.54936i | −0.379014 | + | 0.137950i | ||||
\(663\) | 0.597696 | + | 0.501527i | 0.0232126 | + | 0.0194777i | ||||
\(664\) | 37.9395 | 1.47234 | ||||||||
\(665\) | −12.6982 | − | 1.69799i | −0.492416 | − | 0.0658453i | ||||
\(666\) | −150.988 | −5.85068 | ||||||||
\(667\) | −9.49542 | − | 7.96760i | −0.367664 | − | 0.308507i | ||||
\(668\) | −0.860080 | + | 0.313044i | −0.0332775 | + | 0.0121120i | ||||
\(669\) | 11.8129 | + | 66.9944i | 0.456714 | + | 2.59015i | ||||
\(670\) | −1.32653 | + | 7.52311i | −0.0512482 | + | 0.290643i | ||||
\(671\) | 0.557385 | + | 0.202871i | 0.0215176 | + | 0.00783177i | ||||
\(672\) | −27.2968 | − | 47.2794i | −1.05300 | − | 1.82384i | ||||
\(673\) | 20.7160 | − | 35.8812i | 0.798543 | − | 1.38312i | −0.122021 | − | 0.992528i | \(-0.538938\pi\) |
0.920565 | − | 0.390590i | \(-0.127729\pi\) | |||||||
\(674\) | 35.6801 | − | 29.9391i | 1.37434 | − | 1.15321i | ||||
\(675\) | 12.5112 | − | 10.4982i | 0.481558 | − | 0.404075i | ||||
\(676\) | 20.3567 | − | 35.2589i | 0.782951 | − | 1.35611i | ||||
\(677\) | −9.63213 | − | 16.6833i | −0.370193 | − | 0.641193i | 0.619402 | − | 0.785074i | \(-0.287375\pi\) |
−0.989595 | + | 0.143881i | \(0.954042\pi\) | |||||||
\(678\) | 80.6956 | + | 29.3708i | 3.09910 | + | 1.12798i | ||||
\(679\) | −6.22544 | + | 35.3062i | −0.238911 | + | 1.35493i | ||||
\(680\) | −0.174070 | − | 0.987202i | −0.00667529 | − | 0.0378575i | ||||
\(681\) | −39.4540 | + | 14.3601i | −1.51188 | + | 0.550279i | ||||
\(682\) | −0.301647 | − | 0.253112i | −0.0115507 | − | 0.00969216i | ||||
\(683\) | 14.0647 | 0.538170 | 0.269085 | − | 0.963116i | \(-0.413279\pi\) | ||||
0.269085 | + | 0.963116i | \(0.413279\pi\) | |||||||
\(684\) | −42.7445 | − | 103.790i | −1.63438 | − | 3.96851i | ||||
\(685\) | 13.2418 | 0.505942 | ||||||||
\(686\) | 27.6439 | + | 23.1960i | 1.05545 | + | 0.885626i | ||||
\(687\) | −17.9018 | + | 6.51572i | −0.682996 | + | 0.248590i | ||||
\(688\) | −0.0404779 | − | 0.229561i | −0.00154320 | − | 0.00875195i | ||||
\(689\) | 0.478063 | − | 2.71123i | 0.0182127 | − | 0.103290i | ||||
\(690\) | 29.3273 | + | 10.6742i | 1.11647 | + | 0.406362i | ||||
\(691\) | 5.66284 | + | 9.80833i | 0.215425 | + | 0.373126i | 0.953404 | − | 0.301697i | \(-0.0975531\pi\) |
−0.737979 | + | 0.674823i | \(0.764220\pi\) | |||||||
\(692\) | −24.5388 | + | 42.5025i | −0.932825 | + | 1.61570i | ||||
\(693\) | 10.3234 | − | 8.66232i | 0.392152 | − | 0.329054i | ||||
\(694\) | 47.8311 | − | 40.1350i | 1.81564 | − | 1.52350i | ||||
\(695\) | −1.45494 | + | 2.52003i | −0.0551890 | + | 0.0955902i | ||||
\(696\) | −14.1695 | − | 24.5423i | −0.537094 | − | 0.930275i | ||||
\(697\) | 0.883620 | + | 0.321612i | 0.0334695 | + | 0.0121819i | ||||
\(698\) | 5.01924 | − | 28.4655i | 0.189981 | − | 1.07744i | ||||
\(699\) | −1.59572 | − | 9.04980i | −0.0603558 | − | 0.342295i | ||||
\(700\) | 8.95932 | − | 3.26093i | 0.338630 | − | 0.123251i | ||||
\(701\) | −11.8225 | − | 9.92029i | −0.446531 | − | 0.374684i | 0.391615 | − | 0.920129i | \(-0.371916\pi\) |
−0.838147 | + | 0.545445i | \(0.816361\pi\) | |||||||
\(702\) | −25.0731 | −0.946323 | ||||||||
\(703\) | 32.0800 | + | 16.7827i | 1.20992 | + | 0.632972i | ||||
\(704\) | 7.46945 | 0.281516 | ||||||||
\(705\) | 27.9512 | + | 23.4538i | 1.05270 | + | 0.883322i | ||||
\(706\) | −66.2756 | + | 24.1224i | −2.49432 | + | 0.907857i | ||||
\(707\) | 0.296434 | + | 1.68116i | 0.0111485 | + | 0.0632265i | ||||
\(708\) | 1.13751 | − | 6.45114i | 0.0427503 | − | 0.242449i | ||||
\(709\) | −17.9320 | − | 6.52671i | −0.673450 | − | 0.245116i | −0.0174175 | − | 0.999848i | \(-0.505544\pi\) |
−0.656033 | + | 0.754733i | \(0.727767\pi\) | |||||||
\(710\) | 15.1421 | + | 26.2268i | 0.568272 | + | 0.984276i | ||||
\(711\) | −6.12166 | + | 10.6030i | −0.229580 | + | 0.397644i | ||||
\(712\) | −14.3397 | + | 12.0324i | −0.537401 | + | 0.450933i | ||||
\(713\) | −0.939777 | + | 0.788566i | −0.0351949 | + | 0.0295320i | ||||
\(714\) | −3.91660 | + | 6.78374i | −0.146575 | + | 0.253875i | ||||
\(715\) | −0.193611 | − | 0.335344i | −0.00724063 | − | 0.0125411i | ||||
\(716\) | 44.0582 | + | 16.0359i | 1.64653 | + | 0.599289i | ||||
\(717\) | 11.1753 | − | 63.3782i | 0.417349 | − | 2.36690i | ||||
\(718\) | −6.85407 | − | 38.8714i | −0.255792 | − | 1.45067i | ||||
\(719\) | 10.7312 | − | 3.90584i | 0.400207 | − | 0.145663i | −0.134072 | − | 0.990972i | \(-0.542805\pi\) |
0.534279 | + | 0.845308i | \(0.320583\pi\) | |||||||
\(720\) | 0.214829 | + | 0.180263i | 0.00800622 | + | 0.00671802i | ||||
\(721\) | 19.0192 | 0.708314 | ||||||||
\(722\) | −3.96810 | + | 43.3281i | −0.147677 | + | 1.61250i | ||||
\(723\) | −23.9437 | −0.890475 | ||||||||
\(724\) | −17.3078 | − | 14.5230i | −0.643239 | − | 0.539742i | ||||
\(725\) | −2.82660 | + | 1.02880i | −0.104977 | + | 0.0382086i | ||||
\(726\) | −14.0278 | − | 79.5558i | −0.520622 | − | 2.95259i | ||||
\(727\) | −1.89714 | + | 10.7592i | −0.0703609 | + | 0.399036i | 0.929205 | + | 0.369565i | \(0.120493\pi\) |
−0.999566 | + | 0.0294711i | \(0.990618\pi\) | |||||||
\(728\) | −5.27432 | − | 1.91969i | −0.195479 | − | 0.0711486i | ||||
\(729\) | −38.8479 | − | 67.2865i | −1.43881 | − | 2.49209i | ||||
\(730\) | −8.17380 | + | 14.1574i | −0.302526 | + | 0.523990i | ||||
\(731\) | 1.77872 | − | 1.49252i | 0.0657883 | − | 0.0552029i | ||||
\(732\) | 8.44003 | − | 7.08203i | 0.311953 | − | 0.261759i | ||||
\(733\) | −11.7865 | + | 20.4147i | −0.435343 | + | 0.754036i | −0.997324 | − | 0.0731146i | \(-0.976706\pi\) |
0.561981 | + | 0.827150i | \(0.310039\pi\) | |||||||
\(734\) | 34.4568 | + | 59.6810i | 1.27182 | + | 2.20286i | ||||
\(735\) | −5.09165 | − | 1.85321i | −0.187808 | − | 0.0683566i | ||||
\(736\) | 4.01888 | − | 22.7922i | 0.148138 | − | 0.840132i | ||||
\(737\) | 0.334591 | + | 1.89756i | 0.0123248 | + | 0.0698975i | ||||
\(738\) | −45.6456 | + | 16.6136i | −1.68024 | + | 0.611557i | ||||
\(739\) | −1.72100 | − | 1.44409i | −0.0633081 | − | 0.0531218i | 0.610585 | − | 0.791951i | \(-0.290935\pi\) |
−0.673893 | + | 0.738829i | \(0.735379\pi\) | |||||||
\(740\) | −26.9441 | −0.990486 | ||||||||
\(741\) | 8.56350 | + | 4.48000i | 0.314588 | + | 0.164577i | ||||
\(742\) | 27.6393 | 1.01467 | ||||||||
\(743\) | −20.6210 | − | 17.3031i | −0.756511 | − | 0.634788i | 0.180705 | − | 0.983537i | \(-0.442162\pi\) |
−0.937216 | + | 0.348750i | \(0.886606\pi\) | |||||||
\(744\) | −2.63561 | + | 0.959285i | −0.0966263 | + | 0.0351691i | ||||
\(745\) | −1.53793 | − | 8.72204i | −0.0563454 | − | 0.319551i | ||||
\(746\) | −2.43899 | + | 13.8322i | −0.0892976 | + | 0.506432i | ||||
\(747\) | −99.3502 | − | 36.1605i | −3.63503 | − | 1.32304i | ||||
\(748\) | −0.329680 | − | 0.571023i | −0.0120543 | − | 0.0208787i | ||||
\(749\) | 27.0086 | − | 46.7803i | 0.986874 | − | 1.70932i | ||||
\(750\) | 5.80173 | − | 4.86823i | 0.211849 | − | 0.177762i | ||||
\(751\) | −26.1495 | + | 21.9420i | −0.954209 | + | 0.800676i | −0.980001 | − | 0.198991i | \(-0.936234\pi\) |
0.0257926 | + | 0.999667i | \(0.491789\pi\) | |||||||
\(752\) | −0.194876 | + | 0.337534i | −0.00710638 | + | 0.0123086i | ||||
\(753\) | −24.5664 | − | 42.5502i | −0.895248 | − | 1.55062i | ||||
\(754\) | 4.33935 | + | 1.57940i | 0.158030 | + | 0.0575182i | ||||
\(755\) | 1.45371 | − | 8.24442i | 0.0529061 | − | 0.300045i | ||||
\(756\) | −27.0400 | − | 153.351i | −0.983434 | − | 5.57733i | ||||
\(757\) | −17.7079 | + | 6.44514i | −0.643604 | + | 0.234253i | −0.643142 | − | 0.765747i | \(-0.722369\pi\) |
−0.000462353 | 1.00000i | \(0.500147\pi\) | ||||||||
\(758\) | 54.1979 | + | 45.4775i | 1.96856 | + | 1.65182i | ||||
\(759\) | 7.87198 | 0.285735 | ||||||||
\(760\) | −4.72841 | − | 11.4813i | −0.171517 | − | 0.416469i | ||||
\(761\) | −10.8012 | −0.391544 | −0.195772 | − | 0.980649i | \(-0.562721\pi\) | ||||
−0.195772 | + | 0.980649i | \(0.562721\pi\) | |||||||
\(762\) | 111.347 | + | 93.4315i | 4.03369 | + | 3.38467i | ||||
\(763\) | −6.93139 | + | 2.52282i | −0.250933 | + | 0.0913322i | ||||
\(764\) | 3.09283 | + | 17.5403i | 0.111895 | + | 0.634587i | ||||
\(765\) | −0.485082 | + | 2.75104i | −0.0175382 | + | 0.0994640i | ||||
\(766\) | −10.0087 | − | 3.64286i | −0.361628 | − | 0.131622i | ||||
\(767\) | 0.204663 | + | 0.354486i | 0.00738994 | + | 0.0127998i | ||||
\(768\) | 26.8354 | − | 46.4802i | 0.968338 | − | 1.67721i | ||||
\(769\) | 37.4804 | − | 31.4498i | 1.35158 | − | 1.13411i | 0.373091 | − | 0.927795i | \(-0.378298\pi\) |
0.978486 | − | 0.206313i | \(-0.0661464\pi\) | |||||||
\(770\) | 2.97801 | − | 2.49884i | 0.107320 | − | 0.0900521i | ||||
\(771\) | −32.6692 | + | 56.5847i | −1.17655 | + | 2.03785i | ||||
\(772\) | 10.5053 | + | 18.1957i | 0.378094 | + | 0.654878i | ||||
\(773\) | 25.1420 | + | 9.15095i | 0.904296 | + | 0.329137i | 0.751973 | − | 0.659194i | \(-0.229102\pi\) |
0.152323 | + | 0.988331i | \(0.451325\pi\) | |||||||
\(774\) | −20.8284 | + | 118.124i | −0.748662 | + | 4.24588i | ||||
\(775\) | 0.0516962 | + | 0.293184i | 0.00185698 | + | 0.0105315i | ||||
\(776\) | −32.6516 | + | 11.8842i | −1.17212 | + | 0.426619i | ||||
\(777\) | 61.8489 | + | 51.8974i | 2.21882 | + | 1.86181i | ||||
\(778\) | −37.0448 | −1.32812 | ||||||||
\(779\) | 11.5448 | + | 1.54376i | 0.413636 | + | 0.0553110i | ||||
\(780\) | −7.19251 | −0.257533 | ||||||||
\(781\) | 5.85150 | + | 4.91000i | 0.209383 | + | 0.175693i | ||||
\(782\) | −3.12046 | + | 1.13575i | −0.111587 | + | 0.0406145i | ||||
\(783\) | 8.53090 | + | 48.3811i | 0.304869 | + | 1.72900i | ||||
\(784\) | 0.0100504 | − | 0.0569988i | 0.000358944 | − | 0.00203567i | ||||
\(785\) | 14.9097 | + | 5.42667i | 0.532148 | + | 0.193686i | ||||
\(786\) | 25.9404 | + | 44.9301i | 0.925263 | + | 1.60260i | ||||
\(787\) | −10.9173 | + | 18.9093i | −0.389160 | + | 0.674045i | −0.992337 | − | 0.123563i | \(-0.960568\pi\) |
0.603177 | + | 0.797607i | \(0.293901\pi\) | |||||||
\(788\) | −23.0971 | + | 19.3807i | −0.822799 | + | 0.690410i | ||||
\(789\) | 30.0257 | − | 25.1945i | 1.06894 | − | 0.896949i | ||||
\(790\) | −1.76593 | + | 3.05868i | −0.0628290 | + | 0.108823i | ||||
\(791\) | −16.6627 | − | 28.8607i | −0.592458 | − | 1.02617i | ||||
\(792\) | 12.2736 | + | 4.46722i | 0.436123 | + | 0.158736i | ||||
\(793\) | −0.119548 | + | 0.677993i | −0.00424529 | + | 0.0240762i | ||||
\(794\) | −3.95066 | − | 22.4053i | −0.140204 | − | 0.795135i | ||||
\(795\) | 12.7627 | − | 4.64524i | 0.452646 | − | 0.164750i | ||||
\(796\) | −60.4029 | − | 50.6840i | −2.14092 | − | 1.79645i | ||||
\(797\) | −13.0244 | −0.461347 | −0.230673 | − | 0.973031i | \(-0.574093\pi\) | ||||
−0.230673 | + | 0.973031i | \(0.574093\pi\) | |||||||
\(798\) | −29.3646 | + | 92.4773i | −1.03949 | + | 3.27366i | ||||
\(799\) | −3.88234 | −0.137347 | ||||||||
\(800\) | −4.30236 | − | 3.61011i | −0.152111 | − | 0.127637i | ||||
\(801\) | 49.0187 | − | 17.8413i | 1.73199 | − | 0.630393i | ||||
\(802\) | −5.14319 | − | 29.1685i | −0.181612 | − | 1.02997i | ||||
\(803\) | −0.716015 | + | 4.06072i | −0.0252676 | + | 0.143300i | ||||
\(804\) | 33.6318 | + | 12.2410i | 1.18610 | + | 0.431706i | ||||
\(805\) | −6.05574 | − | 10.4888i | −0.213437 | − | 0.369683i | ||||
\(806\) | 0.228518 | − | 0.395804i | 0.00804919 | − | 0.0139416i | ||||
\(807\) | −27.5543 | + | 23.1208i | −0.969959 | + | 0.813892i | ||||
\(808\) | −1.26745 | + | 1.06351i | −0.0445886 | + | 0.0374143i | ||||
\(809\) | 4.51134 | − | 7.81388i | 0.158610 | − | 0.274721i | −0.775757 | − | 0.631031i | \(-0.782632\pi\) |
0.934368 | + | 0.356310i | \(0.115965\pi\) | |||||||
\(810\) | −34.5797 | − | 59.8938i | −1.21501 | − | 2.10445i | ||||
\(811\) | 21.0062 | + | 7.64565i | 0.737629 | + | 0.268475i | 0.683391 | − | 0.730053i | \(-0.260505\pi\) |
0.0542386 | + | 0.998528i | \(0.482727\pi\) | |||||||
\(812\) | −4.98009 | + | 28.2435i | −0.174767 | + | 0.991153i | ||||
\(813\) | −3.37259 | − | 19.1269i | −0.118282 | − | 0.670810i | ||||
\(814\) | −10.3236 | + | 3.75749i | −0.361843 | + | 0.131700i | ||||
\(815\) | 7.44794 | + | 6.24957i | 0.260890 | + | 0.218913i | ||||
\(816\) | −0.0411159 | −0.00143934 | ||||||||
\(817\) | 17.5551 | − | 22.7823i | 0.614175 | − | 0.797052i | ||||
\(818\) | −14.2901 | −0.499642 | ||||||||
\(819\) | 11.9819 | + | 10.0540i | 0.418681 | + | 0.351315i | ||||
\(820\) | −8.14553 | + | 2.96473i | −0.284454 | + | 0.103533i | ||||
\(821\) | −6.05598 | − | 34.3451i | −0.211355 | − | 1.19865i | −0.887121 | − | 0.461537i | \(-0.847298\pi\) |
0.675766 | − | 0.737116i | \(-0.263813\pi\) | |||||||
\(822\) | 17.4148 | − | 98.7645i | 0.607412 | − | 3.44481i | ||||
\(823\) | 4.74344 | + | 1.72647i | 0.165346 | + | 0.0601809i | 0.423367 | − | 0.905958i | \(-0.360848\pi\) |
−0.258021 | + | 0.966139i | \(0.583070\pi\) | |||||||
\(824\) | 9.21684 | + | 15.9640i | 0.321084 | + | 0.556134i | ||||
\(825\) | 0.955150 | − | 1.65437i | 0.0332540 | − | 0.0575977i | ||||
\(826\) | −3.14800 | + | 2.64149i | −0.109533 | + | 0.0919090i | ||||
\(827\) | 38.4862 | − | 32.2938i | 1.33830 | − | 1.12296i | 0.356237 | − | 0.934395i | \(-0.384059\pi\) |
0.982060 | − | 0.188569i | \(-0.0603850\pi\) | |||||||
\(828\) | 53.0581 | − | 91.8993i | 1.84390 | − | 3.19372i | ||||
\(829\) | −8.13553 | − | 14.0911i | −0.282559 | − | 0.489406i | 0.689456 | − | 0.724328i | \(-0.257850\pi\) |
−0.972014 | + | 0.234922i | \(0.924516\pi\) | |||||||
\(830\) | −28.6598 | − | 10.4313i | −0.994797 | − | 0.362077i | ||||
\(831\) | −13.6758 | + | 77.5595i | −0.474409 | + | 2.69051i | ||||
\(832\) | 1.50544 | + | 8.53778i | 0.0521918 | + | 0.295994i | ||||
\(833\) | 0.541758 | − | 0.197184i | 0.0187708 | − | 0.00683201i | ||||
\(834\) | 16.8823 | + | 14.1659i | 0.584587 | + | 0.490527i | ||||
\(835\) | 0.282149 | 0.00976417 | ||||||||
\(836\) | −5.50551 | − | 6.03276i | −0.190412 | − | 0.208648i | ||||
\(837\) | 4.86222 | 0.168063 | ||||||||
\(838\) | −53.5743 | − | 44.9542i | −1.85069 | − | 1.55292i | ||||
\(839\) | 20.3201 | − | 7.39592i | 0.701528 | − | 0.255335i | 0.0334650 | − | 0.999440i | \(-0.489346\pi\) |
0.668063 | + | 0.744105i | \(0.267124\pi\) | |||||||
\(840\) | −4.80831 | − | 27.2693i | −0.165902 | − | 0.940879i | ||||
\(841\) | −3.46462 | + | 19.6488i | −0.119470 | + | 0.677545i | ||||
\(842\) | −78.6926 | − | 28.6418i | −2.71193 | − | 0.987061i | ||||
\(843\) | 11.8058 | + | 20.4482i | 0.406612 | + | 0.704272i | ||||
\(844\) | −38.8746 | + | 67.3329i | −1.33812 | + | 2.31769i | ||||
\(845\) | −9.61429 | + | 8.06735i | −0.330742 | + | 0.277525i | ||||
\(846\) | 153.631 | − | 128.912i | 5.28196 | − | 4.43209i | ||||
\(847\) | −15.6748 | + | 27.1495i | −0.538592 | + | 0.932869i | ||||
\(848\) | 0.0725383 | + | 0.125640i | 0.00249098 | + | 0.00431450i | ||||
\(849\) | −83.0858 | − | 30.2408i | −2.85150 | − | 1.03786i | ||||
\(850\) | −0.139933 | + | 0.793600i | −0.00479967 | + | 0.0272203i | ||||
\(851\) | 5.94350 | + | 33.7072i | 0.203740 | + | 1.15547i | ||||
\(852\) | 133.328 | − | 48.5273i | 4.56773 | − | 1.66252i | ||||
\(853\) | −30.2607 | − | 25.3918i | −1.03611 | − | 0.869397i | −0.0445424 | − | 0.999007i | \(-0.514183\pi\) |
−0.991565 | + | 0.129610i | \(0.958627\pi\) | |||||||
\(854\) | −6.91172 | −0.236514 | ||||||||
\(855\) | 1.43912 | + | 34.5721i | 0.0492167 | + | 1.18234i | ||||
\(856\) | 52.3542 | 1.78943 | ||||||||
\(857\) | −9.54432 | − | 8.00863i | −0.326028 | − | 0.273570i | 0.465051 | − | 0.885284i | \(-0.346036\pi\) |
−0.791079 | + | 0.611714i | \(0.790480\pi\) | |||||||
\(858\) | −2.75581 | + | 1.00303i | −0.0940817 | + | 0.0342429i | ||||
\(859\) | 5.73773 | + | 32.5403i | 0.195769 | + | 1.11026i | 0.911319 | + | 0.411700i | \(0.135065\pi\) |
−0.715551 | + | 0.698561i | \(0.753824\pi\) | |||||||
\(860\) | −3.71687 | + | 21.0794i | −0.126744 | + | 0.718802i | ||||
\(861\) | 24.4081 | + | 8.88381i | 0.831825 | + | 0.302759i | ||||
\(862\) | −27.3689 | − | 47.4044i | −0.932189 | − | 1.61460i | ||||
\(863\) | 4.43310 | − | 7.67835i | 0.150904 | − | 0.261374i | −0.780656 | − | 0.624961i | \(-0.785115\pi\) |
0.931560 | + | 0.363587i | \(0.118448\pi\) | |||||||
\(864\) | −70.2673 | + | 58.9612i | −2.39054 | + | 2.00590i | ||||
\(865\) | 11.5894 | − | 9.72470i | 0.394053 | − | 0.330650i | ||||
\(866\) | 16.7791 | − | 29.0622i | 0.570176 | − | 0.987573i | ||||
\(867\) | 27.9073 | + | 48.3368i | 0.947781 | + | 1.64161i | ||||
\(868\) | 2.66725 | + | 0.970799i | 0.0905323 | + | 0.0329511i | ||||
\(869\) | −0.154694 | + | 0.877311i | −0.00524762 | + | 0.0297607i | ||||
\(870\) | 3.95596 | + | 22.4353i | 0.134119 | + | 0.760629i | ||||
\(871\) | −2.10152 | + | 0.764892i | −0.0712074 | + | 0.0259174i | ||||
\(872\) | −5.47656 | − | 4.59538i | −0.185460 | − | 0.155619i | ||||
\(873\) | 96.8300 | 3.27720 | ||||||||
\(874\) | −34.7359 | + | 22.0302i | −1.17496 | + | 0.745181i | ||||
\(875\) | −2.93910 | −0.0993598 | ||||||||
\(876\) | 58.6715 | + | 49.2312i | 1.98232 | + | 1.66337i | ||||
\(877\) | −10.4313 | + | 3.79669i | −0.352241 | + | 0.128205i | −0.512080 | − | 0.858938i | \(-0.671125\pi\) |
0.159839 | + | 0.987143i | \(0.448903\pi\) | |||||||
\(878\) | −6.76972 | − | 38.3930i | −0.228467 | − | 1.29570i | ||||
\(879\) | 0.616444 | − | 3.49603i | 0.0207921 | − | 0.117918i | ||||
\(880\) | 0.0191747 | + | 0.00697902i | 0.000646379 | + | 0.000235263i | ||||
\(881\) | −20.9588 | − | 36.3016i | −0.706119 | − | 1.22303i | −0.966286 | − | 0.257470i | \(-0.917111\pi\) |
0.260168 | − | 0.965563i | \(-0.416222\pi\) | |||||||
\(882\) | −14.8910 | + | 25.7919i | −0.501405 | + | 0.868458i | ||||
\(883\) | 20.3742 | − | 17.0960i | 0.685646 | − | 0.575325i | −0.232004 | − | 0.972715i | \(-0.574528\pi\) |
0.917650 | + | 0.397390i | \(0.130084\pi\) | |||||||
\(884\) | 0.586248 | − | 0.491921i | 0.0197177 | − | 0.0165451i | ||||
\(885\) | −1.00967 | + | 1.74880i | −0.0339398 | + | 0.0587854i | ||||
\(886\) | 41.2094 | + | 71.3768i | 1.38446 | + | 2.39795i | ||||
\(887\) | −19.5566 | − | 7.11802i | −0.656646 | − | 0.239000i | −0.00785834 | − | 0.999969i | \(-0.502501\pi\) |
−0.648788 | + | 0.760970i | \(0.724724\pi\) | |||||||
\(888\) | −13.5884 | + | 77.0634i | −0.455996 | + | 2.58608i | ||||
\(889\) | −9.79506 | − | 55.5506i | −0.328516 | − | 1.86311i | ||||
\(890\) | 14.1406 | − | 5.14674i | 0.473992 | − | 0.172519i | ||||
\(891\) | −13.3630 | − | 11.2129i | −0.447676 | − | 0.375645i | ||||
\(892\) | 66.7249 | 2.23412 | ||||||||
\(893\) | −46.9705 | + | 10.3131i | −1.57181 | + | 0.345114i | ||||
\(894\) | −67.0764 | −2.24337 | ||||||||
\(895\) | −11.0719 | − | 9.29039i | −0.370091 | − | 0.310544i | ||||
\(896\) | −50.7654 | + | 18.4771i | −1.69595 | + | 0.617276i | ||||
\(897\) | 1.58657 | + | 8.99787i | 0.0529739 | + | 0.300430i | ||||
\(898\) | 1.41470 | − | 8.02315i | 0.0472091 | − | 0.267736i | ||||
\(899\) | −0.841496 | − | 0.306280i | −0.0280655 | − | 0.0102150i | ||||
\(900\) | −12.8757 | − | 22.3013i | −0.429188 | − | 0.743376i | ||||
\(901\) | −0.722559 | + | 1.25151i | −0.0240719 | + | 0.0416938i | ||||
\(902\) | −2.70751 | + | 2.27187i | −0.0901502 | + | 0.0756450i | ||||
\(903\) | 49.1332 | − | 41.2276i | 1.63505 | − | 1.37197i | ||||
\(904\) | 16.1497 | − | 27.9721i | 0.537131 | − | 0.930338i | ||||
\(905\) | 3.48243 | + | 6.03175i | 0.115760 | + | 0.200502i | ||||
\(906\) | −59.5796 | − | 21.6852i | −1.97940 | − | 0.720443i | ||||
\(907\) | −0.139827 | + | 0.792997i | −0.00464287 | + | 0.0263310i | −0.987041 | − | 0.160467i | \(-0.948700\pi\) |
0.982398 | + | 0.186798i | \(0.0598110\pi\) | |||||||
\(908\) | 7.15115 | + | 40.5562i | 0.237319 | + | 1.34590i | ||||
\(909\) | 4.33264 | − | 1.57695i | 0.143705 | − | 0.0523042i | ||||
\(910\) | 3.45645 | + | 2.90030i | 0.114580 | + | 0.0961442i | ||||
\(911\) | 33.6958 | 1.11639 | 0.558196 | − | 0.829709i | \(-0.311494\pi\) | ||||
0.558196 | + | 0.829709i | \(0.311494\pi\) | |||||||
\(912\) | −0.497441 | + | 0.109221i | −0.0164719 | + | 0.00361666i | ||||
\(913\) | −7.69283 | −0.254595 | ||||||||
\(914\) | −8.09913 | − | 6.79598i | −0.267895 | − | 0.224791i | ||||
\(915\) | −3.19155 | + | 1.16163i | −0.105509 | + | 0.0384023i | ||||
\(916\) | 3.24475 | + | 18.4019i | 0.107210 | + | 0.608016i | ||||
\(917\) | 3.49613 | − | 19.8276i | 0.115453 | − | 0.654764i | ||||
\(918\) | 12.3675 | + | 4.50141i | 0.408189 | + | 0.148569i | ||||
\(919\) | 7.14677 | + | 12.3786i | 0.235750 | + | 0.408331i | 0.959490 | − | 0.281741i | \(-0.0909120\pi\) |
−0.723740 | + | 0.690072i | \(0.757579\pi\) | |||||||
\(920\) | 5.86930 | − | 10.1659i | 0.193505 | − | 0.335160i | ||||
\(921\) | −65.7964 | + | 55.2097i | −2.16806 | + | 1.81922i | ||||
\(922\) | −51.1770 | + | 42.9426i | −1.68542 | + | 1.41424i | ||||
\(923\) | −4.43290 | + | 7.67801i | −0.145911 | + | 0.252725i | ||||
\(924\) | −9.10669 | − | 15.7733i | −0.299588 | − | 0.518902i | ||||
\(925\) | 7.80504 | + | 2.84080i | 0.256628 | + | 0.0934050i | ||||
\(926\) | −7.01363 | + | 39.7763i | −0.230482 | + | 1.30713i | ||||
\(927\) | −8.92017 | − | 50.5888i | −0.292977 | − | 1.66155i | ||||
\(928\) | 15.8751 | − | 5.77806i | 0.521125 | − | 0.189674i | ||||
\(929\) | 11.3513 | + | 9.52484i | 0.372423 | + | 0.312500i | 0.809719 | − | 0.586818i | \(-0.199619\pi\) |
−0.437296 | + | 0.899317i | \(0.644064\pi\) | |||||||
\(930\) | 2.25472 | 0.0739350 | ||||||||
\(931\) | 6.03067 | − | 3.82476i | 0.197647 | − | 0.125352i | ||||
\(932\) | −9.01339 | −0.295244 | ||||||||
\(933\) | 48.2663 | + | 40.5002i | 1.58017 | + | 1.32592i | ||||
\(934\) | −36.4602 | + | 13.2704i | −1.19301 | + | 0.434221i | ||||
\(935\) | 0.0352954 | + | 0.200170i | 0.00115428 | + | 0.00654627i | ||||
\(936\) | −2.63245 | + | 14.9294i | −0.0860444 | + | 0.487982i | ||||
\(937\) | 45.6316 | + | 16.6085i | 1.49072 | + | 0.542577i | 0.953639 | − | 0.300954i | \(-0.0973050\pi\) |
0.537080 | + | 0.843531i | \(0.319527\pi\) | |||||||
\(938\) | −11.2261 | − | 19.4442i | −0.366546 | − | 0.634877i | ||||
\(939\) | 25.4650 | − | 44.1066i | 0.831017 | − | 1.43936i | ||||
\(940\) | 27.4158 | − | 23.0046i | 0.894205 | − | 0.750327i | ||||
\(941\) | 14.5770 | − | 12.2315i | 0.475195 | − | 0.398736i | −0.373490 | − | 0.927634i | \(-0.621839\pi\) |
0.848685 | + | 0.528898i | \(0.177395\pi\) | |||||||
\(942\) | 60.0835 | − | 104.068i | 1.95763 | − | 3.39071i | ||||
\(943\) | 5.50569 | + | 9.53613i | 0.179290 | + | 0.310539i | ||||
\(944\) | −0.0202693 | − | 0.00737740i | −0.000659708 | − | 0.000240114i | ||||
\(945\) | −8.33550 | + | 47.2729i | −0.271154 | + | 1.53779i | ||||
\(946\) | 1.51551 | + | 8.59490i | 0.0492736 | + | 0.279444i | ||||
\(947\) | 38.1018 | − | 13.8679i | 1.23814 | − | 0.450646i | 0.361763 | − | 0.932270i | \(-0.382175\pi\) |
0.876378 | + | 0.481624i | \(0.159953\pi\) | |||||||
\(948\) | 12.6758 | + | 10.6363i | 0.411692 | + | 0.345451i | ||||
\(949\) | −4.78582 | −0.155354 | ||||||||
\(950\) | 0.415146 | + | 9.97310i | 0.0134691 | + | 0.323570i | ||||
\(951\) | 84.4697 | 2.73912 | ||||||||
\(952\) | 2.25696 | + | 1.89381i | 0.0731484 | + | 0.0613788i | ||||
\(953\) | 35.5481 | − | 12.9385i | 1.15152 | − | 0.419118i | 0.305457 | − | 0.952206i | \(-0.401191\pi\) |
0.846060 | + | 0.533088i | \(0.178968\pi\) | |||||||
\(954\) | −12.9630 | − | 73.5170i | −0.419694 | − | 2.38020i | ||||
\(955\) | 0.953415 | − | 5.40709i | 0.0308518 | − | 0.174969i | ||||
\(956\) | −59.3164 | − | 21.5894i | −1.91843 | − | 0.698251i | ||||
\(957\) | 2.87309 | + | 4.97634i | 0.0928738 | + | 0.160862i | ||||
\(958\) | 16.5579 | − | 28.6792i | 0.534962 | − | 0.926582i | ||||
\(959\) | −29.8136 | + | 25.0166i | −0.962732 | + | 0.807828i | ||||
\(960\) | −32.7634 | + | 27.4918i | −1.05743 | + | 0.887293i | ||||
\(961\) | 15.4557 | − | 26.7700i | 0.498570 | − | 0.863549i | ||||
\(962\) | −6.37560 | − | 11.0429i | −0.205558 | − | 0.356036i | ||||
\(963\) | −137.097 | − | 49.8993i | −4.41789 | − | 1.60798i | ||||
\(964\) | −4.07814 | + | 23.1283i | −0.131348 | + | 0.744911i | ||||
\(965\) | −1.12469 | − | 6.37846i | −0.0362052 | − | 0.205330i | ||||
\(966\) | −86.1958 | + | 31.3727i | −2.77330 | + | 1.00940i | ||||
\(967\) | 21.5070 | + | 18.0465i | 0.691618 | + | 0.580336i | 0.919375 | − | 0.393382i | \(-0.128695\pi\) |
−0.227758 | + | 0.973718i | \(0.573139\pi\) | |||||||
\(968\) | −30.3844 | −0.976591 | ||||||||
\(969\) | −3.41972 | − | 3.74722i | −0.109857 | − | 0.120378i | ||||
\(970\) | 27.9328 | 0.896869 | ||||||||
\(971\) | −26.9547 | − | 22.6176i | −0.865016 | − | 0.725835i | 0.0980264 | − | 0.995184i | \(-0.468747\pi\) |
−0.963043 | + | 0.269349i | \(0.913191\pi\) | |||||||
\(972\) | −155.120 | + | 56.4590i | −4.97548 | + | 1.81092i | ||||
\(973\) | −1.48511 | − | 8.42250i | −0.0476106 | − | 0.270013i | ||||
\(974\) | −0.131992 | + | 0.748566i | −0.00422931 | + | 0.0239856i | ||||
\(975\) | 2.08349 | + | 0.758329i | 0.0667251 | + | 0.0242860i | ||||
\(976\) | −0.0181396 | − | 0.0314187i | −0.000580633 | − | 0.00100569i | ||||
\(977\) | −26.6516 | + | 46.1619i | −0.852659 | + | 1.47685i | 0.0261400 | + | 0.999658i | \(0.491678\pi\) |
−0.878799 | + | 0.477191i | \(0.841655\pi\) | |||||||
\(978\) | 56.4079 | − | 47.3318i | 1.80372 | − | 1.51350i | ||||
\(979\) | 2.90759 | − | 2.43976i | 0.0929269 | − | 0.0779749i | ||||
\(980\) | −2.65732 | + | 4.60261i | −0.0848849 | + | 0.147025i | ||||
\(981\) | 9.96127 | + | 17.2534i | 0.318039 | + | 0.550859i | ||||
\(982\) | 7.19127 | + | 2.61741i | 0.229483 | + | 0.0835249i | ||||
\(983\) | −8.82370 | + | 50.0417i | −0.281432 | + | 1.59608i | 0.436325 | + | 0.899789i | \(0.356280\pi\) |
−0.717757 | + | 0.696293i | \(0.754831\pi\) | |||||||
\(984\) | 4.37156 | + | 24.7924i | 0.139360 | + | 0.790352i | ||||
\(985\) | 8.73402 | − | 3.17892i | 0.278289 | − | 0.101289i | ||||
\(986\) | −1.85687 | − | 1.55810i | −0.0591349 | − | 0.0496200i | ||||
\(987\) | −107.241 | −3.41352 | ||||||||
\(988\) | 5.78599 | − | 7.50883i | 0.184077 | − | 0.238888i | ||||
\(989\) | 27.1903 | 0.864603 | ||||||||
\(990\) | −8.04332 | − | 6.74915i | −0.255634 | − | 0.214502i | ||||
\(991\) | 52.8203 | − | 19.2250i | 1.67789 | − | 0.610703i | 0.684873 | − | 0.728662i | \(-0.259858\pi\) |
0.993018 | + | 0.117960i | \(0.0376354\pi\) | |||||||
\(992\) | −0.290343 | − | 1.64662i | −0.00921840 | − | 0.0522801i | ||||
\(993\) | 2.60263 | − | 14.7603i | 0.0825920 | − | 0.468403i | ||||
\(994\) | −83.6404 | − | 30.4426i | −2.65291 | − | 0.965581i | ||||
\(995\) | 12.1534 | + | 21.0504i | 0.385290 | + | 0.667341i | ||||
\(996\) | −71.4458 | + | 123.748i | −2.26385 | + | 3.92110i | ||||
\(997\) | 28.7054 | − | 24.0867i | 0.909110 | − | 0.762834i | −0.0628394 | − | 0.998024i | \(-0.520016\pi\) |
0.971949 | + | 0.235190i | \(0.0755712\pi\) | |||||||
\(998\) | −24.7194 | + | 20.7420i | −0.782479 | + | 0.656578i | ||||
\(999\) | 67.8275 | − | 117.481i | 2.14597 | − | 3.71693i |
(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 | 95.2.k.a.16.3 | yes | 18 | |
3.2 | odd | 2 | 855.2.bs.c.586.1 | 18 | |||
5.2 | odd | 4 | 475.2.u.b.149.1 | 36 | |||
5.3 | odd | 4 | 475.2.u.b.149.6 | 36 | |||
5.4 | even | 2 | 475.2.l.c.301.1 | 18 | |||
19.5 | even | 9 | 1805.2.a.v.1.8 | 9 | |||
19.6 | even | 9 | inner | 95.2.k.a.6.3 | ✓ | 18 | |
19.14 | odd | 18 | 1805.2.a.s.1.2 | 9 | |||
57.44 | odd | 18 | 855.2.bs.c.766.1 | 18 | |||
95.14 | odd | 18 | 9025.2.a.cf.1.8 | 9 | |||
95.24 | even | 18 | 9025.2.a.cc.1.2 | 9 | |||
95.44 | even | 18 | 475.2.l.c.101.1 | 18 | |||
95.63 | odd | 36 | 475.2.u.b.424.1 | 36 | |||
95.82 | odd | 36 | 475.2.u.b.424.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.a.6.3 | ✓ | 18 | 19.6 | even | 9 | inner | |
95.2.k.a.16.3 | yes | 18 | 1.1 | even | 1 | trivial | |
475.2.l.c.101.1 | 18 | 95.44 | even | 18 | |||
475.2.l.c.301.1 | 18 | 5.4 | even | 2 | |||
475.2.u.b.149.1 | 36 | 5.2 | odd | 4 | |||
475.2.u.b.149.6 | 36 | 5.3 | odd | 4 | |||
475.2.u.b.424.1 | 36 | 95.63 | odd | 36 | |||
475.2.u.b.424.6 | 36 | 95.82 | odd | 36 | |||
855.2.bs.c.586.1 | 18 | 3.2 | odd | 2 | |||
855.2.bs.c.766.1 | 18 | 57.44 | odd | 18 | |||
1805.2.a.s.1.2 | 9 | 19.14 | odd | 18 | |||
1805.2.a.v.1.8 | 9 | 19.5 | even | 9 | |||
9025.2.a.cc.1.2 | 9 | 95.24 | even | 18 | |||
9025.2.a.cf.1.8 | 9 | 95.14 | odd | 18 |