Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 275.13 | ||
Character | \(\chi\) | \(=\) | 756.275 |
Dual form | 756.2.bs.a.11.13 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35660 | − | 0.399529i | −0.959264 | − | 0.282510i | ||||
\(3\) | 0.345844 | + | 1.69717i | 0.199673 | + | 0.979863i | ||||
\(4\) | 1.68075 | + | 1.08401i | 0.840376 | + | 0.542003i | ||||
\(5\) | 0.871331 | + | 0.153639i | 0.389671 | + | 0.0687095i | 0.365051 | − | 0.930987i | \(-0.381051\pi\) |
0.0246197 | + | 0.999697i | \(0.492163\pi\) | |||||||
\(6\) | 0.208897 | − | 2.44057i | 0.0852817 | − | 0.996357i | ||||
\(7\) | 0.218427 | − | 2.63672i | 0.0825575 | − | 0.996586i | ||||
\(8\) | −1.84702 | − | 2.14208i | −0.653022 | − | 0.757339i | ||||
\(9\) | −2.76078 | + | 1.17391i | −0.920261 | + | 0.391304i | ||||
\(10\) | −1.12067 | − | 0.556550i | −0.354386 | − | 0.175997i | ||||
\(11\) | 0.671349 | + | 3.80741i | 0.202419 | + | 1.14798i | 0.901449 | + | 0.432885i | \(0.142504\pi\) |
−0.699030 | + | 0.715093i | \(0.746384\pi\) | |||||||
\(12\) | −1.25847 | + | 3.22742i | −0.363288 | + | 0.931677i | ||||
\(13\) | −3.00415 | − | 2.52078i | −0.833201 | − | 0.699139i | 0.122823 | − | 0.992429i | \(-0.460805\pi\) |
−0.956023 | + | 0.293290i | \(0.905250\pi\) | |||||||
\(14\) | −1.34977 | + | 3.48972i | −0.360740 | + | 0.932666i | ||||
\(15\) | 0.0405923 | + | 1.53193i | 0.0104809 | + | 0.395544i | ||||
\(16\) | 1.64986 | + | 3.64389i | 0.412465 | + | 0.910974i | ||||
\(17\) | 4.50995i | 1.09382i | 0.837190 | + | 0.546912i | \(0.184197\pi\) | ||||
−0.837190 | + | 0.546912i | \(0.815803\pi\) | |||||||
\(18\) | 4.21431 | − | 0.489521i | 0.993321 | − | 0.115381i | ||||
\(19\) | 3.64785i | 0.836874i | 0.908246 | + | 0.418437i | \(0.137422\pi\) | ||||
−0.908246 | + | 0.418437i | \(0.862578\pi\) | |||||||
\(20\) | 1.29795 | + | 1.20276i | 0.290230 | + | 0.268945i | ||||
\(21\) | 4.55051 | − | 0.541185i | 0.993002 | − | 0.118096i | ||||
\(22\) | 0.610417 | − | 5.43338i | 0.130141 | − | 1.15840i | ||||
\(23\) | 3.05195 | + | 2.56089i | 0.636376 | + | 0.533983i | 0.902903 | − | 0.429845i | \(-0.141432\pi\) |
−0.266527 | + | 0.963827i | \(0.585876\pi\) | |||||||
\(24\) | 2.99669 | − | 3.87554i | 0.611697 | − | 0.791092i | ||||
\(25\) | −3.96285 | − | 1.44236i | −0.792570 | − | 0.288472i | ||||
\(26\) | 3.06832 | + | 4.61995i | 0.601746 | + | 0.906046i | ||||
\(27\) | −2.94713 | − | 4.27953i | −0.567176 | − | 0.823597i | ||||
\(28\) | 3.22534 | − | 4.19490i | 0.609532 | − | 0.792761i | ||||
\(29\) | 5.40259 | + | 6.43855i | 1.00324 | + | 1.19561i | 0.980631 | + | 0.195865i | \(0.0627514\pi\) |
0.0226045 | + | 0.999744i | \(0.492804\pi\) | |||||||
\(30\) | 0.556985 | − | 2.09445i | 0.101691 | − | 0.382392i | ||||
\(31\) | 3.43204 | + | 9.42945i | 0.616413 | + | 1.69358i | 0.715600 | + | 0.698511i | \(0.246154\pi\) |
−0.0991870 | + | 0.995069i | \(0.531624\pi\) | |||||||
\(32\) | −0.782364 | − | 5.60249i | −0.138304 | − | 0.990390i | ||||
\(33\) | −6.22965 | + | 2.45616i | −1.08444 | + | 0.427563i | ||||
\(34\) | 1.80186 | − | 6.11822i | 0.309016 | − | 1.04927i | ||||
\(35\) | 0.595425 | − | 2.26390i | 0.100645 | − | 0.382668i | ||||
\(36\) | −5.91272 | − | 1.01965i | −0.985454 | − | 0.169942i | ||||
\(37\) | −2.45441 | − | 4.25116i | −0.403502 | − | 0.698886i | 0.590644 | − | 0.806932i | \(-0.298874\pi\) |
−0.994146 | + | 0.108047i | \(0.965540\pi\) | |||||||
\(38\) | 1.45742 | − | 4.94869i | 0.236425 | − | 0.802784i | ||||
\(39\) | 3.23923 | − | 5.97035i | 0.518692 | − | 0.956021i | ||||
\(40\) | −1.28026 | − | 2.15023i | −0.202427 | − | 0.339982i | ||||
\(41\) | −0.570454 | + | 0.679841i | −0.0890899 | + | 0.106173i | −0.808748 | − | 0.588156i | \(-0.799854\pi\) |
0.719658 | + | 0.694329i | \(0.244299\pi\) | |||||||
\(42\) | −6.38946 | − | 1.08389i | −0.985915 | − | 0.167247i | ||||
\(43\) | −0.136201 | + | 0.374208i | −0.0207704 | + | 0.0570663i | −0.949645 | − | 0.313329i | \(-0.898556\pi\) |
0.928874 | + | 0.370396i | \(0.120778\pi\) | |||||||
\(44\) | −2.99889 | + | 7.12706i | −0.452099 | + | 1.07445i | ||||
\(45\) | −2.58592 | + | 0.598702i | −0.385486 | + | 0.0892492i | ||||
\(46\) | −3.11714 | − | 4.69346i | −0.459597 | − | 0.692013i | ||||
\(47\) | 10.8056 | + | 3.93290i | 1.57615 | + | 0.573672i | 0.974363 | − | 0.224983i | \(-0.0722325\pi\) |
0.601789 | + | 0.798655i | \(0.294455\pi\) | |||||||
\(48\) | −5.61372 | + | 4.06031i | −0.810271 | + | 0.586056i | ||||
\(49\) | −6.90458 | − | 1.15186i | −0.986369 | − | 0.164551i | ||||
\(50\) | 4.79976 | + | 3.53999i | 0.678788 | + | 0.500630i | ||||
\(51\) | −7.65416 | + | 1.55974i | −1.07180 | + | 0.218407i | ||||
\(52\) | −2.31669 | − | 7.49332i | −0.321267 | − | 1.03914i | ||||
\(53\) | −10.5062 | + | 6.06576i | −1.44314 | + | 0.833196i | −0.998058 | − | 0.0622950i | \(-0.980158\pi\) |
−0.445080 | + | 0.895491i | \(0.646825\pi\) | |||||||
\(54\) | 2.28829 | + | 6.98310i | 0.311397 | + | 0.950280i | ||||
\(55\) | 3.42066i | 0.461242i | ||||||||
\(56\) | −6.05150 | + | 4.40220i | −0.808666 | + | 0.588269i | ||||
\(57\) | −6.19103 | + | 1.26159i | −0.820022 | + | 0.167101i | ||||
\(58\) | −4.75679 | − | 10.8931i | −0.624597 | − | 1.43033i | ||||
\(59\) | −6.55875 | − | 5.50344i | −0.853876 | − | 0.716487i | 0.106764 | − | 0.994284i | \(-0.465951\pi\) |
−0.960640 | + | 0.277797i | \(0.910396\pi\) | |||||||
\(60\) | −1.59240 | + | 2.61880i | −0.205578 | + | 0.338086i | ||||
\(61\) | −0.546801 | − | 0.199019i | −0.0700107 | − | 0.0254818i | 0.306777 | − | 0.951781i | \(-0.400749\pi\) |
−0.376788 | + | 0.926299i | \(0.622972\pi\) | |||||||
\(62\) | −0.888579 | − | 14.1632i | −0.112850 | − | 1.79873i | ||||
\(63\) | 2.49225 | + | 7.53583i | 0.313994 | + | 0.949425i | ||||
\(64\) | −1.17700 | + | 7.91294i | −0.147125 | + | 0.989118i | ||||
\(65\) | −2.23032 | − | 2.65799i | −0.276637 | − | 0.329683i | ||||
\(66\) | 9.43248 | − | 0.843117i | 1.16106 | − | 0.103781i | ||||
\(67\) | 6.47342 | + | 1.14144i | 0.790854 | + | 0.139449i | 0.554462 | − | 0.832209i | \(-0.312924\pi\) |
0.236392 | + | 0.971658i | \(0.424035\pi\) | |||||||
\(68\) | −4.88882 | + | 7.58011i | −0.592856 | + | 0.919224i | ||||
\(69\) | −3.29077 | + | 6.06535i | −0.396163 | + | 0.730183i | ||||
\(70\) | −1.71225 | + | 2.83332i | −0.204653 | + | 0.338647i | ||||
\(71\) | −5.76242 | + | 9.98080i | −0.683873 | + | 1.18450i | 0.289916 | + | 0.957052i | \(0.406373\pi\) |
−0.973789 | + | 0.227451i | \(0.926961\pi\) | |||||||
\(72\) | 7.61385 | + | 3.74557i | 0.897301 | + | 0.441420i | ||||
\(73\) | 1.73780 | − | 3.00996i | 0.203394 | − | 0.352289i | −0.746226 | − | 0.665693i | \(-0.768136\pi\) |
0.949620 | + | 0.313404i | \(0.101469\pi\) | |||||||
\(74\) | 1.63120 | + | 6.74774i | 0.189623 | + | 0.784409i | ||||
\(75\) | 1.07740 | − | 7.22447i | 0.124408 | − | 0.834210i | ||||
\(76\) | −3.95429 | + | 6.13114i | −0.453589 | + | 0.703289i | ||||
\(77\) | 10.1857 | − | 0.938520i | 1.16077 | − | 0.106954i | ||||
\(78\) | −6.77969 | + | 6.80524i | −0.767648 | + | 0.770542i | ||||
\(79\) | 14.1494 | − | 2.49492i | 1.59193 | − | 0.280700i | 0.693712 | − | 0.720253i | \(-0.255974\pi\) |
0.898217 | + | 0.439552i | \(0.144863\pi\) | |||||||
\(80\) | 0.877728 | + | 3.42852i | 0.0981330 | + | 0.383320i | ||||
\(81\) | 6.24386 | − | 6.48184i | 0.693762 | − | 0.720204i | ||||
\(82\) | 1.04550 | − | 0.694362i | 0.115456 | − | 0.0766794i | ||||
\(83\) | 5.16732 | − | 4.33590i | 0.567187 | − | 0.475927i | −0.313524 | − | 0.949580i | \(-0.601510\pi\) |
0.880711 | + | 0.473654i | \(0.157065\pi\) | |||||||
\(84\) | 8.23493 | + | 4.02318i | 0.898504 | + | 0.438965i | ||||
\(85\) | −0.692905 | + | 3.92966i | −0.0751561 | + | 0.426231i | ||||
\(86\) | 0.334278 | − | 0.453237i | 0.0360461 | − | 0.0488738i | ||||
\(87\) | −9.05888 | + | 11.3959i | −0.971214 | + | 1.22176i | ||||
\(88\) | 6.91577 | − | 8.47046i | 0.737224 | − | 0.902955i | ||||
\(89\) | − | 0.529347i | − | 0.0561107i | −0.999606 | − | 0.0280553i | \(-0.991069\pi\) | ||
0.999606 | − | 0.0280553i | \(-0.00893146\pi\) | |||||||
\(90\) | 3.74726 | + | 0.220947i | 0.394996 | + | 0.0232899i | ||||
\(91\) | −7.30278 | + | 7.37049i | −0.765539 | + | 0.772637i | ||||
\(92\) | 2.35355 | + | 7.61256i | 0.245375 | + | 0.793664i | ||||
\(93\) | −14.8165 | + | 9.08588i | −1.53639 | + | 0.942162i | ||||
\(94\) | −13.0876 | − | 9.65253i | −1.34988 | − | 0.995582i | ||||
\(95\) | −0.560453 | + | 3.17849i | −0.0575012 | + | 0.326106i | ||||
\(96\) | 9.23781 | − | 3.26539i | 0.942830 | − | 0.333273i | ||||
\(97\) | 7.11912 | + | 2.59115i | 0.722837 | + | 0.263091i | 0.677130 | − | 0.735864i | \(-0.263224\pi\) |
0.0457073 | + | 0.998955i | \(0.485446\pi\) | |||||||
\(98\) | 8.90658 | + | 4.32120i | 0.899701 | + | 0.436507i | ||||
\(99\) | −6.32302 | − | 9.72333i | −0.635487 | − | 0.977232i | ||||
\(100\) | −5.09704 | − | 6.72001i | −0.509704 | − | 0.672001i | ||||
\(101\) | −7.77001 | − | 9.25994i | −0.773145 | − | 0.921398i | 0.225457 | − | 0.974253i | \(-0.427612\pi\) |
−0.998602 | + | 0.0528549i | \(0.983168\pi\) | |||||||
\(102\) | 11.0068 | + | 0.942113i | 1.08984 | + | 0.0932831i | ||||
\(103\) | −11.9558 | − | 2.10813i | −1.17804 | − | 0.207721i | −0.449857 | − | 0.893101i | \(-0.648525\pi\) |
−0.728186 | + | 0.685380i | \(0.759636\pi\) | |||||||
\(104\) | 0.149028 | + | 11.0911i | 0.0146134 | + | 1.08757i | ||||
\(105\) | 4.04815 | + | 0.227585i | 0.395059 | + | 0.0222100i | ||||
\(106\) | 16.6762 | − | 4.03130i | 1.61974 | − | 0.391555i | ||||
\(107\) | −3.09640 | + | 5.36312i | −0.299340 | + | 0.518473i | −0.975985 | − | 0.217837i | \(-0.930100\pi\) |
0.676645 | + | 0.736309i | \(0.263433\pi\) | |||||||
\(108\) | −0.314355 | − | 10.3875i | −0.0302488 | − | 0.999542i | ||||
\(109\) | 2.49658 | + | 4.32420i | 0.239129 | + | 0.414184i | 0.960465 | − | 0.278402i | \(-0.0898048\pi\) |
−0.721336 | + | 0.692586i | \(0.756471\pi\) | |||||||
\(110\) | 1.36665 | − | 4.64048i | 0.130305 | − | 0.442453i | ||||
\(111\) | 6.36610 | − | 5.63578i | 0.604243 | − | 0.534925i | ||||
\(112\) | 9.96830 | − | 3.55429i | 0.941916 | − | 0.335849i | ||||
\(113\) | 1.51930 | + | 4.17423i | 0.142923 | + | 0.392678i | 0.990414 | − | 0.138132i | \(-0.0441098\pi\) |
−0.847491 | + | 0.530810i | \(0.821888\pi\) | |||||||
\(114\) | 8.90282 | + | 0.762024i | 0.833826 | + | 0.0713700i | ||||
\(115\) | 2.26581 | + | 2.70028i | 0.211288 | + | 0.251803i | ||||
\(116\) | 2.10098 | + | 16.6781i | 0.195071 | + | 1.54852i | ||||
\(117\) | 11.2530 | + | 3.43272i | 1.04034 | + | 0.317355i | ||||
\(118\) | 6.69884 | + | 10.0864i | 0.616678 | + | 0.928529i | ||||
\(119\) | 11.8915 | + | 0.985094i | 1.09009 | + | 0.0903034i | ||||
\(120\) | 3.20655 | − | 2.91647i | 0.292716 | − | 0.266236i | ||||
\(121\) | −3.70905 | + | 1.34998i | −0.337186 | + | 0.122726i | ||||
\(122\) | 0.662278 | + | 0.488453i | 0.0599599 | + | 0.0442225i | ||||
\(123\) | −1.35109 | − | 0.733040i | −0.121824 | − | 0.0660960i | ||||
\(124\) | −4.45318 | + | 19.5689i | −0.399907 | + | 1.75734i | ||||
\(125\) | −7.06253 | − | 4.07755i | −0.631692 | − | 0.364707i | ||||
\(126\) | −0.370213 | − | 11.2189i | −0.0329812 | − | 0.999456i | ||||
\(127\) | 10.6895 | − | 6.17158i | 0.948539 | − | 0.547639i | 0.0559121 | − | 0.998436i | \(-0.482193\pi\) |
0.892627 | + | 0.450797i | \(0.148860\pi\) | |||||||
\(128\) | 4.75818 | − | 10.2645i | 0.420567 | − | 0.907261i | ||||
\(129\) | −0.682200 | − | 0.101738i | −0.0600644 | − | 0.00895756i | ||||
\(130\) | 1.96371 | + | 4.49692i | 0.172229 | + | 0.394406i | ||||
\(131\) | −10.4805 | − | 8.79422i | −0.915690 | − | 0.768355i | 0.0575032 | − | 0.998345i | \(-0.481686\pi\) |
−0.973193 | + | 0.229990i | \(0.926131\pi\) | |||||||
\(132\) | −13.1330 | − | 2.62478i | −1.14308 | − | 0.228457i | ||||
\(133\) | 9.61836 | + | 0.796788i | 0.834018 | + | 0.0690903i | ||||
\(134\) | −8.32583 | − | 4.13480i | −0.719242 | − | 0.357192i | ||||
\(135\) | −1.91042 | − | 4.18169i | −0.164423 | − | 0.359902i | ||||
\(136\) | 9.66067 | − | 8.32999i | 0.828395 | − | 0.714291i | ||||
\(137\) | −2.10806 | + | 5.79184i | −0.180104 | + | 0.494831i | −0.996588 | − | 0.0825369i | \(-0.973698\pi\) |
0.816484 | + | 0.577367i | \(0.195920\pi\) | |||||||
\(138\) | 6.88757 | − | 6.91353i | 0.586308 | − | 0.588518i | ||||
\(139\) | −11.1311 | − | 1.96272i | −0.944128 | − | 0.166475i | −0.319666 | − | 0.947530i | \(-0.603571\pi\) |
−0.624462 | + | 0.781055i | \(0.714682\pi\) | |||||||
\(140\) | 3.45484 | − | 3.15960i | 0.291987 | − | 0.267035i | ||||
\(141\) | −2.93777 | + | 19.6990i | −0.247405 | + | 1.65896i | ||||
\(142\) | 11.8049 | − | 11.2377i | 0.990649 | − | 0.943051i | ||||
\(143\) | 7.58081 | − | 13.1304i | 0.633939 | − | 1.09802i | ||||
\(144\) | −8.83252 | − | 8.12321i | −0.736043 | − | 0.676935i | ||||
\(145\) | 3.71823 | + | 6.44016i | 0.308782 | + | 0.534826i | ||||
\(146\) | −3.56008 | + | 3.38902i | −0.294634 | + | 0.280478i | ||||
\(147\) | −0.433002 | − | 12.1166i | −0.0357134 | − | 0.999362i | ||||
\(148\) | 0.483032 | − | 9.80573i | 0.0397050 | − | 0.806026i | ||||
\(149\) | −6.24452 | − | 17.1567i | −0.511571 | − | 1.40553i | −0.879600 | − | 0.475715i | \(-0.842189\pi\) |
0.368029 | − | 0.929814i | \(-0.380033\pi\) | |||||||
\(150\) | −4.34800 | + | 9.37029i | −0.355013 | + | 0.765081i | ||||
\(151\) | 13.3310 | − | 2.35061i | 1.08486 | − | 0.191290i | 0.397497 | − | 0.917604i | \(-0.369879\pi\) |
0.687364 | + | 0.726313i | \(0.258768\pi\) | |||||||
\(152\) | 7.81398 | − | 6.73767i | 0.633798 | − | 0.546497i | ||||
\(153\) | −5.29429 | − | 12.4510i | −0.428018 | − | 1.00660i | ||||
\(154\) | −14.1930 | − | 2.79629i | −1.14370 | − | 0.225332i | ||||
\(155\) | 1.54171 | + | 8.74347i | 0.123833 | + | 0.702292i | ||||
\(156\) | 11.9162 | − | 6.52334i | 0.954063 | − | 0.522285i | ||||
\(157\) | 0.735561 | + | 0.617209i | 0.0587042 | + | 0.0492587i | 0.671668 | − | 0.740853i | \(-0.265578\pi\) |
−0.612963 | + | 0.790111i | \(0.710023\pi\) | |||||||
\(158\) | −20.1919 | − | 2.26847i | −1.60638 | − | 0.180470i | ||||
\(159\) | −13.9281 | − | 15.7330i | −1.10457 | − | 1.24771i | ||||
\(160\) | 0.179064 | − | 5.00183i | 0.0141562 | − | 0.395429i | ||||
\(161\) | 7.41898 | − | 7.48777i | 0.584697 | − | 0.590119i | ||||
\(162\) | −11.0601 | + | 6.29869i | −0.868966 | + | 0.494872i | ||||
\(163\) | −7.69749 | − | 4.44415i | −0.602914 | − | 0.348092i | 0.167273 | − | 0.985911i | \(-0.446504\pi\) |
−0.770187 | + | 0.637818i | \(0.779837\pi\) | |||||||
\(164\) | −1.69574 | + | 0.524268i | −0.132415 | + | 0.0409384i | ||||
\(165\) | −5.80545 | + | 1.18301i | −0.451954 | + | 0.0920975i | ||||
\(166\) | −8.74233 | + | 3.81760i | −0.678537 | + | 0.296303i | ||||
\(167\) | −11.1633 | + | 4.06311i | −0.863842 | + | 0.314413i | −0.735671 | − | 0.677339i | \(-0.763133\pi\) |
−0.128171 | + | 0.991752i | \(0.540911\pi\) | |||||||
\(168\) | −9.56416 | − | 8.74796i | −0.737891 | − | 0.674920i | ||||
\(169\) | 0.413151 | + | 2.34309i | 0.0317808 | + | 0.180238i | ||||
\(170\) | 2.51001 | − | 5.05416i | 0.192509 | − | 0.387636i | ||||
\(171\) | −4.28226 | − | 10.0709i | −0.327472 | − | 0.770143i | ||||
\(172\) | −0.634564 | + | 0.481309i | −0.0483851 | + | 0.0366995i | ||||
\(173\) | 8.68438 | + | 10.3496i | 0.660261 | + | 0.786868i | 0.987423 | − | 0.158100i | \(-0.0505368\pi\) |
−0.327162 | + | 0.944968i | \(0.606092\pi\) | |||||||
\(174\) | 16.8423 | − | 11.8404i | 1.27681 | − | 0.897617i | ||||
\(175\) | −4.66869 | + | 10.1339i | −0.352920 | + | 0.766049i | ||||
\(176\) | −12.7662 | + | 8.72802i | −0.962286 | + | 0.657899i | ||||
\(177\) | 7.07198 | − | 13.0346i | 0.531563 | − | 0.979744i | ||||
\(178\) | −0.211490 | + | 0.718115i | −0.0158518 | + | 0.0538250i | ||||
\(179\) | 14.5852 | 1.09015 | 0.545075 | − | 0.838387i | \(-0.316501\pi\) | ||||
0.545075 | + | 0.838387i | \(0.316501\pi\) | |||||||
\(180\) | −4.99528 | − | 1.79688i | −0.372326 | − | 0.133932i | ||||
\(181\) | −10.7745 | − | 18.6621i | −0.800866 | − | 1.38714i | −0.919047 | − | 0.394148i | \(-0.871040\pi\) |
0.118181 | − | 0.992992i | \(-0.462294\pi\) | |||||||
\(182\) | 12.8517 | − | 7.08117i | 0.952632 | − | 0.524891i | ||||
\(183\) | 0.148662 | − | 0.996844i | 0.0109894 | − | 0.0736889i | ||||
\(184\) | −0.151399 | − | 11.2675i | −0.0111613 | − | 0.830655i | ||||
\(185\) | −1.48546 | − | 4.08126i | −0.109213 | − | 0.300060i | ||||
\(186\) | 23.7301 | − | 6.40634i | 1.73998 | − | 0.469736i | ||||
\(187\) | −17.1712 | + | 3.02775i | −1.25569 | + | 0.221411i | ||||
\(188\) | 13.8982 | + | 18.3235i | 1.01363 | + | 1.33638i | ||||
\(189\) | −11.9277 | + | 6.83599i | −0.867610 | + | 0.497245i | ||||
\(190\) | 2.03021 | − | 4.08803i | 0.147287 | − | 0.296577i | ||||
\(191\) | 0.838906 | + | 4.75767i | 0.0607011 | + | 0.344253i | 0.999999 | + | 0.00115120i | \(0.000366438\pi\) |
−0.939298 | + | 0.343102i | \(0.888522\pi\) | |||||||
\(192\) | −13.8367 | + | 0.739070i | −0.998577 | + | 0.0533378i | ||||
\(193\) | 1.36609 | − | 0.497215i | 0.0983331 | − | 0.0357903i | −0.292385 | − | 0.956301i | \(-0.594449\pi\) |
0.390718 | + | 0.920510i | \(0.372227\pi\) | |||||||
\(194\) | −8.62259 | − | 6.35946i | −0.619066 | − | 0.456583i | ||||
\(195\) | 3.73972 | − | 4.70448i | 0.267807 | − | 0.336895i | ||||
\(196\) | −10.3563 | − | 9.42060i | −0.739733 | − | 0.672900i | ||||
\(197\) | 17.6765 | − | 10.2055i | 1.25940 | − | 0.727115i | 0.286442 | − | 0.958098i | \(-0.407528\pi\) |
0.972958 | + | 0.230983i | \(0.0741942\pi\) | |||||||
\(198\) | 4.69308 | + | 15.7170i | 0.333523 | + | 1.11696i | ||||
\(199\) | − | 7.03076i | − | 0.498397i | −0.968452 | − | 0.249199i | \(-0.919833\pi\) | ||
0.968452 | − | 0.249199i | \(-0.0801672\pi\) | |||||||
\(200\) | 4.22983 | + | 11.1528i | 0.299094 | + | 0.788623i | ||||
\(201\) | 0.301575 | + | 11.3813i | 0.0212714 | + | 0.802772i | ||||
\(202\) | 6.84122 | + | 15.6664i | 0.481346 | + | 1.10229i | ||||
\(203\) | 18.1567 | − | 12.8388i | 1.27435 | − | 0.901104i | ||||
\(204\) | −14.5555 | − | 5.67563i | −1.01909 | − | 0.397373i | ||||
\(205\) | −0.601504 | + | 0.504722i | −0.0420109 | + | 0.0352513i | ||||
\(206\) | 15.3771 | + | 7.63661i | 1.07137 | + | 0.532068i | ||||
\(207\) | −11.4320 | − | 3.48734i | −0.794582 | − | 0.242387i | ||||
\(208\) | 4.22903 | − | 15.1057i | 0.293231 | − | 1.04739i | ||||
\(209\) | −13.8889 | + | 2.44898i | −0.960713 | + | 0.169400i | ||||
\(210\) | −5.40081 | − | 1.92609i | −0.372691 | − | 0.132913i | ||||
\(211\) | 7.88817 | + | 21.6726i | 0.543044 | + | 1.49200i | 0.842929 | + | 0.538026i | \(0.180830\pi\) |
−0.299885 | + | 0.953975i | \(0.596948\pi\) | |||||||
\(212\) | −24.2336 | − | 1.19375i | −1.66437 | − | 0.0819873i | ||||
\(213\) | −18.9320 | − | 6.32802i | −1.29720 | − | 0.433589i | ||||
\(214\) | 6.34331 | − | 6.03853i | 0.433620 | − | 0.412786i | ||||
\(215\) | −0.176169 | + | 0.305134i | −0.0120146 | + | 0.0208099i | ||||
\(216\) | −3.72368 | + | 14.2174i | −0.253364 | + | 0.967371i | ||||
\(217\) | 25.6125 | − | 6.98968i | 1.73869 | − | 0.474491i | ||||
\(218\) | −1.65923 | − | 6.86369i | −0.112377 | − | 0.464868i | ||||
\(219\) | 5.70943 | + | 1.90837i | 0.385807 | + | 0.128956i | ||||
\(220\) | −3.70802 | + | 5.74928i | −0.249995 | + | 0.387617i | ||||
\(221\) | 11.3686 | − | 13.5486i | 0.764734 | − | 0.911375i | ||||
\(222\) | −10.8879 | + | 5.10209i | −0.730751 | + | 0.342430i | ||||
\(223\) | −11.6953 | + | 2.06220i | −0.783178 | + | 0.138095i | −0.550919 | − | 0.834559i | \(-0.685723\pi\) |
−0.232259 | + | 0.972654i | \(0.574612\pi\) | |||||||
\(224\) | −14.9431 | + | 0.839141i | −0.998427 | + | 0.0560675i | ||||
\(225\) | 12.6338 | − | 0.669997i | 0.842252 | − | 0.0446664i | ||||
\(226\) | −0.393356 | − | 6.26978i | −0.0261657 | − | 0.417060i | ||||
\(227\) | −1.26479 | − | 7.17296i | −0.0839468 | − | 0.476086i | −0.997579 | − | 0.0695441i | \(-0.977846\pi\) |
0.913632 | − | 0.406542i | \(-0.133266\pi\) | |||||||
\(228\) | −11.7732 | − | 4.59070i | −0.779696 | − | 0.304027i | ||||
\(229\) | 20.4982 | − | 7.46072i | 1.35456 | − | 0.493018i | 0.440189 | − | 0.897905i | \(-0.354911\pi\) |
0.914367 | + | 0.404887i | \(0.132689\pi\) | |||||||
\(230\) | −1.99496 | − | 4.56847i | −0.131544 | − | 0.301236i | ||||
\(231\) | 5.11550 | + | 16.9623i | 0.336575 | + | 1.11604i | ||||
\(232\) | 3.81317 | − | 23.4649i | 0.250347 | − | 1.54055i | ||||
\(233\) | 15.0883 | − | 8.71125i | 0.988469 | − | 0.570693i | 0.0836530 | − | 0.996495i | \(-0.473341\pi\) |
0.904816 | + | 0.425802i | \(0.140008\pi\) | |||||||
\(234\) | −13.8944 | − | 9.15274i | −0.908304 | − | 0.598333i | ||||
\(235\) | 8.81097 | + | 5.08701i | 0.574764 | + | 0.331840i | ||||
\(236\) | −5.05786 | − | 16.3596i | −0.329239 | − | 1.06492i | ||||
\(237\) | 9.12777 | + | 23.1511i | 0.592913 | + | 1.50382i | ||||
\(238\) | −15.7385 | − | 6.08738i | −1.02017 | − | 0.394586i | ||||
\(239\) | 0.252594 | − | 1.43253i | 0.0163390 | − | 0.0926629i | −0.975548 | − | 0.219787i | \(-0.929464\pi\) |
0.991887 | + | 0.127124i | \(0.0405748\pi\) | |||||||
\(240\) | −5.51523 | + | 2.67539i | −0.356007 | + | 0.172696i | ||||
\(241\) | 24.2683 | + | 8.83292i | 1.56326 | + | 0.568979i | 0.971479 | − | 0.237124i | \(-0.0762047\pi\) |
0.591776 | + | 0.806102i | \(0.298427\pi\) | |||||||
\(242\) | 5.57107 | − | 0.349520i | 0.358122 | − | 0.0224680i | ||||
\(243\) | 13.1602 | + | 8.35520i | 0.844227 | + | 0.535986i | ||||
\(244\) | −0.703299 | − | 0.927238i | −0.0450241 | − | 0.0593603i | ||||
\(245\) | −5.83920 | − | 2.06447i | −0.373053 | − | 0.131894i | ||||
\(246\) | 1.54003 | + | 1.53425i | 0.0981887 | + | 0.0978200i | ||||
\(247\) | 9.19543 | − | 10.9587i | 0.585091 | − | 0.697285i | ||||
\(248\) | 13.8596 | − | 24.7681i | 0.880083 | − | 1.57278i | ||||
\(249\) | 9.14585 | + | 7.27029i | 0.579595 | + | 0.460736i | ||||
\(250\) | 7.95196 | + | 8.35332i | 0.502926 | + | 0.528310i | ||||
\(251\) | 0.772989 | + | 1.33886i | 0.0487906 | + | 0.0845078i | 0.889389 | − | 0.457151i | \(-0.151130\pi\) |
−0.840599 | + | 0.541658i | \(0.817797\pi\) | |||||||
\(252\) | −3.98003 | + | 15.3675i | −0.250718 | + | 0.968060i | ||||
\(253\) | −7.70144 | + | 13.3393i | −0.484185 | + | 0.838634i | ||||
\(254\) | −16.9671 | + | 4.10163i | −1.06461 | + | 0.257359i | ||||
\(255\) | −6.90894 | + | 0.183069i | −0.432655 | + | 0.0114643i | ||||
\(256\) | −10.5559 | + | 12.0238i | −0.659746 | + | 0.751489i | ||||
\(257\) | 0.150030 | + | 0.412203i | 0.00935860 | + | 0.0257125i | 0.944284 | − | 0.329132i | \(-0.106756\pi\) |
−0.934925 | + | 0.354844i | \(0.884534\pi\) | |||||||
\(258\) | 0.884828 | + | 0.410578i | 0.0550870 | + | 0.0255615i | ||||
\(259\) | −11.7452 | + | 5.54301i | −0.729812 | + | 0.344426i | ||||
\(260\) | −0.867334 | − | 6.88510i | −0.0537898 | − | 0.426996i | ||||
\(261\) | −22.4737 | − | 11.4333i | −1.39109 | − | 0.707703i | ||||
\(262\) | 10.7044 | + | 16.1176i | 0.661321 | + | 0.995747i | ||||
\(263\) | 4.85268 | − | 4.07188i | 0.299229 | − | 0.251083i | −0.480794 | − | 0.876833i | \(-0.659652\pi\) |
0.780023 | + | 0.625751i | \(0.215207\pi\) | |||||||
\(264\) | 16.7676 | + | 8.80780i | 1.03198 | + | 0.542083i | ||||
\(265\) | −10.0863 | + | 3.67112i | −0.619597 | + | 0.225515i | ||||
\(266\) | −12.7300 | − | 4.92374i | −0.780525 | − | 0.301894i | ||||
\(267\) | 0.898393 | − | 0.183071i | 0.0549807 | − | 0.0112038i | ||||
\(268\) | 9.64289 | + | 8.93570i | 0.589033 | + | 0.545835i | ||||
\(269\) | 9.98761 | − | 5.76635i | 0.608955 | − | 0.351581i | −0.163601 | − | 0.986527i | \(-0.552311\pi\) |
0.772556 | + | 0.634946i | \(0.218978\pi\) | |||||||
\(270\) | 0.920982 | + | 6.43616i | 0.0560492 | + | 0.391692i | ||||
\(271\) | −1.28848 | − | 0.743906i | −0.0782698 | − | 0.0451891i | 0.460354 | − | 0.887735i | \(-0.347722\pi\) |
−0.538624 | + | 0.842546i | \(0.681056\pi\) | |||||||
\(272\) | −16.4338 | + | 7.44078i | −0.996444 | + | 0.451164i | ||||
\(273\) | −15.0346 | − | 9.84503i | −0.909936 | − | 0.595848i | ||||
\(274\) | 5.17381 | − | 7.01501i | 0.312561 | − | 0.423792i | ||||
\(275\) | 2.83120 | − | 16.0565i | 0.170728 | − | 0.968245i | ||||
\(276\) | −12.1059 | + | 6.62714i | −0.728687 | + | 0.398907i | ||||
\(277\) | 11.5171 | − | 9.66399i | 0.691995 | − | 0.580653i | −0.227489 | − | 0.973781i | \(-0.573051\pi\) |
0.919484 | + | 0.393128i | \(0.128607\pi\) | |||||||
\(278\) | 14.3164 | + | 7.10983i | 0.858638 | + | 0.426419i | ||||
\(279\) | −20.5445 | − | 22.0038i | −1.22997 | − | 1.31733i | ||||
\(280\) | −5.94921 | + | 2.90602i | −0.355533 | + | 0.173668i | ||||
\(281\) | −6.05985 | + | 16.6493i | −0.361500 | + | 0.993214i | 0.616999 | + | 0.786964i | \(0.288348\pi\) |
−0.978499 | + | 0.206250i | \(0.933874\pi\) | |||||||
\(282\) | 11.8557 | − | 25.5501i | 0.705999 | − | 1.52149i | ||||
\(283\) | 7.83758 | + | 1.38198i | 0.465896 | + | 0.0821500i | 0.401668 | − | 0.915785i | \(-0.368431\pi\) |
0.0642276 | + | 0.997935i | \(0.479542\pi\) | |||||||
\(284\) | −20.5045 | + | 10.5288i | −1.21672 | + | 0.624767i | ||||
\(285\) | −5.58827 | + | 0.148075i | −0.331020 | + | 0.00877120i | ||||
\(286\) | −15.5301 | + | 14.7839i | −0.918316 | + | 0.874193i | ||||
\(287\) | 1.66795 | + | 1.65262i | 0.0984558 | + | 0.0975512i | ||||
\(288\) | 8.73677 | + | 14.5488i | 0.514819 | + | 0.857299i | ||||
\(289\) | −3.33966 | −0.196450 | ||||||||
\(290\) | −2.47113 | − | 10.2223i | −0.145110 | − | 0.600274i | ||||
\(291\) | −1.93552 | + | 12.9785i | −0.113462 | + | 0.760813i | ||||
\(292\) | 6.18363 | − | 3.17521i | 0.361870 | − | 0.185815i | ||||
\(293\) | 20.1181 | + | 3.54737i | 1.17531 | + | 0.207239i | 0.727000 | − | 0.686637i | \(-0.240914\pi\) |
0.448313 | + | 0.893877i | \(0.352025\pi\) | |||||||
\(294\) | −4.25353 | + | 16.6105i | −0.248071 | + | 0.968742i | ||||
\(295\) | −4.86929 | − | 5.80300i | −0.283501 | − | 0.337864i | ||||
\(296\) | −4.57296 | + | 13.1095i | −0.265798 | + | 0.761975i | ||||
\(297\) | 14.3154 | − | 14.0940i | 0.830663 | − | 0.817817i | ||||
\(298\) | 1.61675 | + | 25.7697i | 0.0936558 | + | 1.49280i | ||||
\(299\) | −2.71307 | − | 15.3866i | −0.156901 | − | 0.889830i | ||||
\(300\) | 9.64222 | − | 10.9746i | 0.556694 | − | 0.633621i | ||||
\(301\) | 0.956933 | + | 0.440860i | 0.0551567 | + | 0.0254108i | ||||
\(302\) | −19.0240 | − | 2.13727i | −1.09471 | − | 0.122986i | ||||
\(303\) | 13.0285 | − | 16.3895i | 0.748467 | − | 0.941554i | ||||
\(304\) | −13.2924 | + | 6.01844i | −0.762370 | + | 0.345181i | ||||
\(305\) | −0.445867 | − | 0.257422i | −0.0255303 | − | 0.0147399i | ||||
\(306\) | 2.20772 | + | 19.0063i | 0.126207 | + | 1.08652i | ||||
\(307\) | −3.78251 | − | 2.18383i | −0.215879 | − | 0.124638i | 0.388161 | − | 0.921591i | \(-0.373110\pi\) |
−0.604041 | + | 0.796953i | \(0.706444\pi\) | |||||||
\(308\) | 18.1370 | + | 9.46396i | 1.03345 | + | 0.539259i | ||||
\(309\) | −0.556981 | − | 21.0202i | −0.0316856 | − | 1.19580i | ||||
\(310\) | 1.40178 | − | 12.4774i | 0.0796159 | − | 0.708668i | ||||
\(311\) | −1.14820 | + | 6.51179i | −0.0651087 | + | 0.369250i | 0.934793 | + | 0.355194i | \(0.115585\pi\) |
−0.999901 | + | 0.0140554i | \(0.995526\pi\) | |||||||
\(312\) | −18.7719 | + | 4.08870i | −1.06275 | + | 0.231477i | ||||
\(313\) | 21.8137 | − | 18.3039i | 1.23299 | − | 1.03460i | 0.234946 | − | 0.972009i | \(-0.424509\pi\) |
0.998039 | − | 0.0625888i | \(-0.0199357\pi\) | |||||||
\(314\) | −0.751273 | − | 1.13119i | −0.0423968 | − | 0.0638366i | ||||
\(315\) | 1.01378 | + | 6.94911i | 0.0571198 | + | 0.391538i | ||||
\(316\) | 26.4861 | + | 11.1447i | 1.48996 | + | 0.626937i | ||||
\(317\) | −0.0433369 | + | 0.119067i | −0.00243404 | + | 0.00668747i | −0.940904 | − | 0.338674i | \(-0.890022\pi\) |
0.938470 | + | 0.345362i | \(0.112244\pi\) | |||||||
\(318\) | 12.6092 | + | 26.9082i | 0.707087 | + | 1.50894i | ||||
\(319\) | −20.8872 | + | 24.8924i | −1.16946 | + | 1.39371i | ||||
\(320\) | −2.24129 | + | 6.71396i | −0.125292 | + | 0.375322i | ||||
\(321\) | −10.1730 | − | 3.40032i | −0.567802 | − | 0.189787i | ||||
\(322\) | −13.0562 | + | 7.19385i | −0.727594 | + | 0.400897i | ||||
\(323\) | −16.4516 | −0.915393 | ||||||||
\(324\) | 17.5207 | − | 4.12598i | 0.973374 | − | 0.229221i | ||||
\(325\) | 8.26912 | + | 14.3225i | 0.458688 | + | 0.794471i | ||||
\(326\) | 8.66688 | + | 9.10432i | 0.480014 | + | 0.504242i | ||||
\(327\) | −6.47549 | + | 5.73262i | −0.358095 | + | 0.317015i | ||||
\(328\) | 2.50991 | − | 0.0337251i | 0.138587 | − | 0.00186215i | ||||
\(329\) | 12.7302 | − | 27.6322i | 0.701837 | − | 1.52341i | ||||
\(330\) | 8.34835 | + | 0.714564i | 0.459561 | + | 0.0393355i | ||||
\(331\) | −8.52353 | + | 23.4182i | −0.468496 | + | 1.28718i | 0.450452 | + | 0.892801i | \(0.351263\pi\) |
−0.918947 | + | 0.394380i | \(0.870959\pi\) | |||||||
\(332\) | 13.3851 | − | 1.68616i | 0.734605 | − | 0.0925401i | ||||
\(333\) | 11.7666 | + | 8.85527i | 0.644804 | + | 0.485266i | ||||
\(334\) | 16.7675 | − | 1.05197i | 0.917477 | − | 0.0575611i | ||||
\(335\) | 5.46512 | + | 1.98914i | 0.298591 | + | 0.108678i | ||||
\(336\) | 9.47972 | + | 15.6887i | 0.517161 | + | 0.855888i | ||||
\(337\) | −17.9207 | − | 15.0372i | −0.976201 | − | 0.819129i | 0.00731133 | − | 0.999973i | \(-0.497673\pi\) |
−0.983512 | + | 0.180844i | \(0.942117\pi\) | |||||||
\(338\) | 0.375653 | − | 3.34372i | 0.0204328 | − | 0.181874i | ||||
\(339\) | −6.55894 | + | 4.02214i | −0.356233 | + | 0.218452i | ||||
\(340\) | −5.42438 | + | 5.85367i | −0.294178 | + | 0.317460i | ||||
\(341\) | −33.5977 | + | 19.3976i | −1.81942 | + | 1.05044i | ||||
\(342\) | 1.78570 | + | 15.3732i | 0.0965596 | + | 0.831285i | ||||
\(343\) | −4.54528 | + | 17.9538i | −0.245422 | + | 0.969416i | ||||
\(344\) | 1.05315 | − | 0.399420i | 0.0567820 | − | 0.0215353i | ||||
\(345\) | −3.79923 | + | 4.77934i | −0.204544 | + | 0.257311i | ||||
\(346\) | −7.64628 | − | 17.5100i | −0.411067 | − | 0.941345i | ||||
\(347\) | 8.33199 | − | 3.03260i | 0.447285 | − | 0.162798i | −0.108550 | − | 0.994091i | \(-0.534621\pi\) |
0.555835 | + | 0.831293i | \(0.312399\pi\) | |||||||
\(348\) | −27.5789 | + | 9.33372i | −1.47839 | + | 0.500340i | ||||
\(349\) | −16.2555 | + | 13.6400i | −0.870139 | + | 0.730134i | −0.964127 | − | 0.265440i | \(-0.914483\pi\) |
0.0939881 | + | 0.995573i | \(0.470038\pi\) | |||||||
\(350\) | 10.3823 | − | 11.8824i | 0.554960 | − | 0.635140i | ||||
\(351\) | −1.93414 | + | 20.2854i | −0.103237 | + | 1.08276i | ||||
\(352\) | 20.8057 | − | 6.74001i | 1.10895 | − | 0.359244i | ||||
\(353\) | −0.706032 | + | 1.93981i | −0.0375783 | + | 0.103245i | −0.957063 | − | 0.289881i | \(-0.906384\pi\) |
0.919484 | + | 0.393126i | \(0.128607\pi\) | |||||||
\(354\) | −14.8016 | + | 14.8574i | −0.786697 | + | 0.789662i | ||||
\(355\) | −6.55442 | + | 7.81125i | −0.347872 | + | 0.414578i | ||||
\(356\) | 0.573816 | − | 0.889701i | 0.0304122 | − | 0.0471541i | ||||
\(357\) | 2.44072 | + | 20.5226i | 0.129177 | + | 1.08617i | ||||
\(358\) | −19.7864 | − | 5.82722i | −1.04574 | − | 0.307978i | ||||
\(359\) | 27.5450 | 1.45377 | 0.726886 | − | 0.686758i | \(-0.240967\pi\) | ||||
0.726886 | + | 0.686758i | \(0.240967\pi\) | |||||||
\(360\) | 6.05872 | + | 4.43342i | 0.319322 | + | 0.233662i | ||||
\(361\) | 5.69318 | 0.299641 | ||||||||
\(362\) | 7.16076 | + | 29.6218i | 0.376361 | + | 1.55689i | ||||
\(363\) | −3.57391 | − | 5.82801i | −0.187581 | − | 0.305891i | ||||
\(364\) | −20.2638 | + | 4.47172i | −1.06211 | + | 0.234382i | ||||
\(365\) | 1.97665 | − | 2.35568i | 0.103462 | − | 0.123302i | ||||
\(366\) | −0.599944 | + | 1.29293i | −0.0313596 | + | 0.0675825i | ||||
\(367\) | 23.1316 | − | 4.07872i | 1.20746 | − | 0.212907i | 0.466538 | − | 0.884501i | \(-0.345501\pi\) |
0.740920 | + | 0.671593i | \(0.234390\pi\) | |||||||
\(368\) | −4.29633 | + | 15.3461i | −0.223961 | + | 0.799971i | ||||
\(369\) | 0.776827 | − | 2.54656i | 0.0404400 | − | 0.132568i | ||||
\(370\) | 0.384595 | + | 6.13013i | 0.0199941 | + | 0.318691i | ||||
\(371\) | 13.6989 | + | 29.0268i | 0.711210 | + | 1.50700i | ||||
\(372\) | −34.7519 | − | 0.790016i | −1.80180 | − | 0.0409604i | ||||
\(373\) | −1.63052 | + | 9.24714i | −0.0844252 | + | 0.478799i | 0.913054 | + | 0.407839i | \(0.133717\pi\) |
−0.997479 | + | 0.0709602i | \(0.977394\pi\) | |||||||
\(374\) | 24.5043 | + | 2.75295i | 1.26708 | + | 0.142352i | ||||
\(375\) | 4.47778 | − | 13.3965i | 0.231231 | − | 0.691793i | ||||
\(376\) | −11.5335 | − | 30.4105i | −0.594797 | − | 1.56830i | ||||
\(377\) | − | 32.9611i | − | 1.69758i | ||||||
\(378\) | 18.9123 | − | 4.50829i | 0.972744 | − | 0.231881i | ||||
\(379\) | 6.14395i | 0.315593i | 0.987472 | + | 0.157797i | \(0.0504391\pi\) | ||||
−0.987472 | + | 0.157797i | \(0.949561\pi\) | |||||||
\(380\) | −4.38748 | + | 4.73471i | −0.225073 | + | 0.242886i | ||||
\(381\) | 14.1711 | + | 16.0075i | 0.726009 | + | 0.820089i | ||||
\(382\) | 0.762765 | − | 6.78944i | 0.0390265 | − | 0.347378i | ||||
\(383\) | 0.580964 | − | 3.29481i | 0.0296859 | − | 0.168357i | −0.966361 | − | 0.257191i | \(-0.917203\pi\) |
0.996046 | + | 0.0888341i | \(0.0283141\pi\) | |||||||
\(384\) | 19.0662 | + | 4.52553i | 0.972967 | + | 0.230943i | ||||
\(385\) | 9.01932 | + | 0.747164i | 0.459667 | + | 0.0380790i | ||||
\(386\) | −2.05189 | + | 0.128732i | −0.104439 | + | 0.00655231i | ||||
\(387\) | −0.0632672 | − | 1.19300i | −0.00321605 | − | 0.0606434i | ||||
\(388\) | 9.15666 | + | 12.0723i | 0.464859 | + | 0.612876i | ||||
\(389\) | −24.5715 | + | 4.33262i | −1.24583 | + | 0.219673i | −0.757411 | − | 0.652939i | \(-0.773536\pi\) |
−0.488415 | + | 0.872611i | \(0.662425\pi\) | |||||||
\(390\) | −6.95290 | + | 4.88799i | −0.352074 | + | 0.247513i | ||||
\(391\) | −11.5495 | + | 13.7641i | −0.584083 | + | 0.696083i | ||||
\(392\) | 10.2856 | + | 16.9177i | 0.519499 | + | 0.854471i | ||||
\(393\) | 11.3007 | − | 20.8287i | 0.570044 | − | 1.05067i | ||||
\(394\) | −28.0575 | + | 6.78260i | −1.41351 | + | 0.341702i | ||||
\(395\) | 12.7121 | 0.639615 | ||||||||
\(396\) | −0.0872703 | − | 23.1967i | −0.00438550 | − | 1.16568i | ||||
\(397\) | −28.9874 | −1.45484 | −0.727419 | − | 0.686194i | \(-0.759280\pi\) | ||||
−0.727419 | + | 0.686194i | \(0.759280\pi\) | |||||||
\(398\) | −2.80899 | + | 9.53796i | −0.140802 | + | 0.478095i | ||||
\(399\) | 1.97416 | + | 16.5996i | 0.0988318 | + | 0.831018i | ||||
\(400\) | −1.28234 | − | 16.8199i | −0.0641170 | − | 0.840995i | ||||
\(401\) | 2.55050 | − | 3.03957i | 0.127366 | − | 0.151789i | −0.698593 | − | 0.715520i | \(-0.746190\pi\) |
0.825959 | + | 0.563731i | \(0.190634\pi\) | |||||||
\(402\) | 4.13803 | − | 15.5604i | 0.206386 | − | 0.776080i | ||||
\(403\) | 13.4592 | − | 36.9789i | 0.670451 | − | 1.84205i | ||||
\(404\) | −3.02163 | − | 23.9864i | −0.150332 | − | 1.19337i | ||||
\(405\) | 6.43633 | − | 4.68853i | 0.319824 | − | 0.232975i | ||||
\(406\) | −29.7610 | + | 10.1630i | −1.47701 | + | 0.504380i | ||||
\(407\) | 14.5381 | − | 12.1989i | 0.720629 | − | 0.604679i | ||||
\(408\) | 17.4785 | + | 13.5149i | 0.865315 | + | 0.669089i | ||||
\(409\) | −6.63600 | + | 2.41531i | −0.328129 | + | 0.119429i | −0.500831 | − | 0.865545i | \(-0.666972\pi\) |
0.172702 | + | 0.984974i | \(0.444750\pi\) | |||||||
\(410\) | 1.01765 | − | 0.444390i | 0.0502584 | − | 0.0219468i | ||||
\(411\) | −10.5588 | − | 1.57466i | −0.520828 | − | 0.0776725i | ||||
\(412\) | −17.8096 | − | 16.5034i | −0.877414 | − | 0.813067i | ||||
\(413\) | −15.9436 | + | 16.0915i | −0.784535 | + | 0.791810i | ||||
\(414\) | 14.1155 | + | 9.29838i | 0.693737 | + | 0.456991i | ||||
\(415\) | 5.16861 | − | 2.98410i | 0.253717 | − | 0.146484i | ||||
\(416\) | −11.7723 | + | 18.8029i | −0.577185 | + | 0.921887i | ||||
\(417\) | −0.518561 | − | 19.5702i | −0.0253940 | − | 0.958357i | ||||
\(418\) | 19.8201 | + | 2.22671i | 0.969435 | + | 0.108912i | ||||
\(419\) | −19.1605 | − | 16.0776i | −0.936052 | − | 0.785441i | 0.0408420 | − | 0.999166i | \(-0.486996\pi\) |
−0.976894 | + | 0.213725i | \(0.931440\pi\) | |||||||
\(420\) | 6.55723 | + | 4.77073i | 0.319960 | + | 0.232788i | ||||
\(421\) | 28.9318 | + | 10.5303i | 1.41005 | + | 0.513216i | 0.931144 | − | 0.364651i | \(-0.118812\pi\) |
0.478905 | + | 0.877867i | \(0.341034\pi\) | |||||||
\(422\) | −2.04230 | − | 32.5527i | −0.0994177 | − | 1.58464i | ||||
\(423\) | −34.4487 | + | 1.82689i | −1.67495 | + | 0.0888263i | ||||
\(424\) | 32.3985 | + | 11.3015i | 1.57341 | + | 0.548849i | ||||
\(425\) | 6.50497 | − | 17.8723i | 0.315537 | − | 0.866932i | ||||
\(426\) | 23.1551 | + | 16.1485i | 1.12187 | + | 0.782398i | ||||
\(427\) | −0.644194 | + | 1.39829i | −0.0311747 | + | 0.0676680i | ||||
\(428\) | −11.0179 | + | 5.65756i | −0.532572 | + | 0.273469i | ||||
\(429\) | 24.9062 | + | 8.32489i | 1.20248 | + | 0.401930i | ||||
\(430\) | 0.360901 | − | 0.343561i | 0.0174042 | − | 0.0165680i | ||||
\(431\) | 10.4073 | + | 18.0260i | 0.501301 | + | 0.868280i | 0.999999 | + | 0.00150348i | \(0.000478571\pi\) |
−0.498697 | + | 0.866776i | \(0.666188\pi\) | |||||||
\(432\) | 10.7318 | − | 17.7997i | 0.516335 | − | 0.856387i | ||||
\(433\) | −19.2736 | −0.926231 | −0.463116 | − | 0.886298i | \(-0.653269\pi\) | ||||
−0.463116 | + | 0.886298i | \(0.653269\pi\) | |||||||
\(434\) | −37.5386 | − | 0.750696i | −1.80191 | − | 0.0360346i | ||||
\(435\) | −9.64413 | + | 8.53776i | −0.462401 | + | 0.409354i | ||||
\(436\) | −0.491332 | + | 9.97423i | −0.0235305 | + | 0.477679i | ||||
\(437\) | −9.34175 | + | 11.1331i | −0.446876 | + | 0.532567i | ||||
\(438\) | −6.98298 | − | 4.86999i | −0.333660 | − | 0.232697i | ||||
\(439\) | 4.21541 | − | 11.5817i | 0.201190 | − | 0.552766i | −0.797533 | − | 0.603275i | \(-0.793862\pi\) |
0.998724 | + | 0.0505089i | \(0.0160843\pi\) | |||||||
\(440\) | 7.32732 | − | 6.31804i | 0.349316 | − | 0.301201i | ||||
\(441\) | 20.4142 | − | 4.92534i | 0.972107 | − | 0.234540i | ||||
\(442\) | −20.8357 | + | 13.8380i | −0.991055 | + | 0.658204i | ||||
\(443\) | −11.6617 | + | 9.78531i | −0.554063 | + | 0.464914i | −0.876314 | − | 0.481740i | \(-0.840005\pi\) |
0.322251 | + | 0.946654i | \(0.395560\pi\) | |||||||
\(444\) | 16.8091 | − | 2.57146i | 0.797723 | − | 0.122036i | ||||
\(445\) | 0.0813284 | − | 0.461236i | 0.00385534 | − | 0.0218647i | ||||
\(446\) | 16.6899 | + | 1.87504i | 0.790288 | + | 0.0887855i | ||||
\(447\) | 26.9582 | − | 16.5315i | 1.27508 | − | 0.781915i | ||||
\(448\) | 20.6071 | + | 4.83182i | 0.973595 | + | 0.228282i | ||||
\(449\) | −24.2683 | − | 14.0113i | −1.14529 | − | 0.661234i | −0.197556 | − | 0.980292i | \(-0.563300\pi\) |
−0.947735 | + | 0.319058i | \(0.896634\pi\) | |||||||
\(450\) | −17.4067 | − | 4.13864i | −0.820561 | − | 0.195098i | ||||
\(451\) | −2.97141 | − | 1.71554i | −0.139918 | − | 0.0807817i | ||||
\(452\) | −1.97133 | + | 8.66277i | −0.0927237 | + | 0.407463i | ||||
\(453\) | 8.59983 | + | 21.8120i | 0.404055 | + | 1.02482i | ||||
\(454\) | −1.14999 | + | 10.2362i | −0.0539718 | + | 0.480408i | ||||
\(455\) | −7.49553 | + | 5.30014i | −0.351396 | + | 0.248475i | ||||
\(456\) | 14.1374 | + | 10.9315i | 0.662045 | + | 0.511914i | ||||
\(457\) | 2.50409 | + | 14.2014i | 0.117136 | + | 0.664312i | 0.985670 | + | 0.168683i | \(0.0539514\pi\) |
−0.868534 | + | 0.495629i | \(0.834937\pi\) | |||||||
\(458\) | −30.7887 | + | 1.93163i | −1.43866 | + | 0.0902592i | ||||
\(459\) | 19.3005 | − | 13.2914i | 0.900870 | − | 0.620390i | ||||
\(460\) | 0.881135 | + | 6.99466i | 0.0410832 | + | 0.326128i | ||||
\(461\) | 12.5727 | + | 14.9835i | 0.585568 | + | 0.697853i | 0.974748 | − | 0.223309i | \(-0.0716859\pi\) |
−0.389180 | + | 0.921162i | \(0.627241\pi\) | |||||||
\(462\) | −0.162758 | − | 25.0550i | −0.00757218 | − | 1.16566i | ||||
\(463\) | −10.6551 | − | 1.87878i | −0.495184 | − | 0.0873144i | −0.0795216 | − | 0.996833i | \(-0.525339\pi\) |
−0.415663 | + | 0.909519i | \(0.636450\pi\) | |||||||
\(464\) | −14.5479 | + | 30.3092i | −0.675369 | + | 1.40707i | ||||
\(465\) | −14.3060 | + | 5.64042i | −0.663424 | + | 0.261568i | ||||
\(466\) | −23.9493 | + | 5.78950i | −1.10943 | + | 0.268193i | ||||
\(467\) | −1.28728 | −0.0595681 | −0.0297841 | − | 0.999556i | \(-0.509482\pi\) | ||||
−0.0297841 | + | 0.999556i | \(0.509482\pi\) | |||||||
\(468\) | 15.1924 | + | 17.9679i | 0.702268 | + | 0.830565i | ||||
\(469\) | 4.42362 | − | 16.8193i | 0.204264 | − | 0.776642i | ||||
\(470\) | −9.92059 | − | 10.4213i | −0.457603 | − | 0.480699i | ||||
\(471\) | −0.793121 | + | 1.46183i | −0.0365451 | + | 0.0673577i | ||||
\(472\) | 0.325362 | + | 24.2143i | 0.0149760 | + | 1.11456i | ||||
\(473\) | −1.51620 | − | 0.267348i | −0.0697151 | − | 0.0122927i | ||||
\(474\) | −3.13325 | − | 35.0537i | −0.143915 | − | 1.61007i | ||||
\(475\) | 5.26151 | − | 14.4559i | 0.241415 | − | 0.663282i | ||||
\(476\) | 18.9188 | + | 14.5461i | 0.867141 | + | 0.666721i | ||||
\(477\) | 21.8847 | − | 29.0796i | 1.00203 | − | 1.33146i | ||||
\(478\) | −0.915010 | + | 1.84246i | −0.0418516 | + | 0.0842723i | ||||
\(479\) | 3.16736 | − | 2.65773i | 0.144721 | − | 0.121435i | −0.567553 | − | 0.823337i | \(-0.692110\pi\) |
0.712274 | + | 0.701902i | \(0.247665\pi\) | |||||||
\(480\) | 8.55089 | − | 1.42595i | 0.390293 | − | 0.0650853i | ||||
\(481\) | −3.34283 | + | 18.9581i | −0.152420 | + | 0.864416i | ||||
\(482\) | −29.3934 | − | 21.6787i | −1.33883 | − | 0.987436i | ||||
\(483\) | 15.2738 | + | 10.0017i | 0.694984 | + | 0.455092i | ||||
\(484\) | −7.69739 | − | 1.75165i | −0.349881 | − | 0.0796203i | ||||
\(485\) | 5.80501 | + | 3.35152i | 0.263592 | + | 0.152185i | ||||
\(486\) | −14.5150 | − | 16.5926i | −0.658415 | − | 0.752655i | ||||
\(487\) | 20.1728 | − | 11.6468i | 0.914116 | − | 0.527765i | 0.0323630 | − | 0.999476i | \(-0.489697\pi\) |
0.881753 | + | 0.471711i | \(0.156363\pi\) | |||||||
\(488\) | 0.583640 | + | 1.53888i | 0.0264201 | + | 0.0696620i | ||||
\(489\) | 4.88035 | − | 14.6009i | 0.220697 | − | 0.660277i | ||||
\(490\) | 7.09668 | + | 5.13360i | 0.320595 | + | 0.231912i | ||||
\(491\) | 16.9619 | − | 6.17364i | 0.765481 | − | 0.278612i | 0.0703759 | − | 0.997521i | \(-0.477580\pi\) |
0.695105 | + | 0.718908i | \(0.255358\pi\) | |||||||
\(492\) | −1.47624 | − | 2.69665i | −0.0665538 | − | 0.121575i | ||||
\(493\) | −29.0376 | + | 24.3654i | −1.30779 | + | 1.09736i | ||||
\(494\) | −16.8529 | + | 11.1928i | −0.758247 | + | 0.503586i | ||||
\(495\) | −4.01556 | − | 9.44371i | −0.180486 | − | 0.424463i | ||||
\(496\) | −28.6975 | + | 28.0633i | −1.28856 | + | 1.26008i | ||||
\(497\) | 25.0579 | + | 17.3740i | 1.12400 | + | 0.779329i | ||||
\(498\) | −9.50261 | − | 13.5169i | −0.425822 | − | 0.605709i | ||||
\(499\) | −1.11555 | − | 3.06495i | −0.0499389 | − | 0.137206i | 0.912216 | − | 0.409710i | \(-0.134370\pi\) |
−0.962155 | + | 0.272504i | \(0.912148\pi\) | |||||||
\(500\) | −7.45027 | − | 14.5092i | −0.333186 | − | 0.648871i | ||||
\(501\) | −10.7565 | − | 17.5408i | −0.480567 | − | 0.783667i | ||||
\(502\) | −0.513728 | − | 2.12513i | −0.0229288 | − | 0.0948492i | ||||
\(503\) | −4.91016 | + | 8.50464i | −0.218933 | + | 0.379203i | −0.954482 | − | 0.298268i | \(-0.903591\pi\) |
0.735549 | + | 0.677472i | \(0.236924\pi\) | |||||||
\(504\) | 11.5391 | − | 19.2575i | 0.513992 | − | 0.857795i | ||||
\(505\) | −5.34756 | − | 9.26225i | −0.237963 | − | 0.412165i | ||||
\(506\) | 15.7772 | − | 15.0192i | 0.701384 | − | 0.667684i | ||||
\(507\) | −3.83375 | + | 1.51153i | −0.170263 | + | 0.0671295i | ||||
\(508\) | 24.6564 | + | 1.21458i | 1.09395 | + | 0.0538882i | ||||
\(509\) | −15.7995 | + | 18.8291i | −0.700302 | + | 0.834587i | −0.992561 | − | 0.121752i | \(-0.961149\pi\) |
0.292259 | + | 0.956339i | \(0.405593\pi\) | |||||||
\(510\) | 9.44585 | + | 2.51197i | 0.418269 | + | 0.111232i | ||||
\(511\) | −7.55684 | − | 5.23955i | −0.334295 | − | 0.231784i | ||||
\(512\) | 19.1241 | − | 12.0942i | 0.845174 | − | 0.534492i | ||||
\(513\) | 15.6111 | − | 10.7507i | 0.689247 | − | 0.474655i | ||||
\(514\) | −0.0388438 | − | 0.619138i | −0.00171332 | − | 0.0273090i | ||||
\(515\) | −10.0936 | − | 3.67377i | −0.444777 | − | 0.161885i | ||||
\(516\) | −1.03632 | − | 0.910507i | −0.0456216 | − | 0.0400828i | ||||
\(517\) | −7.71987 | + | 43.7815i | −0.339519 | + | 1.92551i | ||||
\(518\) | 18.1482 | − | 2.82712i | 0.797386 | − | 0.124217i | ||||
\(519\) | −14.5617 | + | 18.3182i | −0.639187 | + | 0.804081i | ||||
\(520\) | −1.57417 | + | 9.68688i | −0.0690319 | + | 0.424798i | ||||
\(521\) | −11.4316 | − | 6.60003i | −0.500827 | − | 0.289153i | 0.228228 | − | 0.973608i | \(-0.426707\pi\) |
−0.729055 | + | 0.684455i | \(0.760040\pi\) | |||||||
\(522\) | 25.9200 | + | 24.4893i | 1.13449 | + | 1.07187i | ||||
\(523\) | −21.6540 | + | 12.5019i | −0.946864 | + | 0.546672i | −0.892105 | − | 0.451828i | \(-0.850772\pi\) |
−0.0547584 | + | 0.998500i | \(0.517439\pi\) | |||||||
\(524\) | −8.08221 | − | 26.1419i | −0.353073 | − | 1.14201i | ||||
\(525\) | −18.8136 | − | 4.41883i | −0.821091 | − | 0.192854i | ||||
\(526\) | −8.21000 | + | 3.58514i | −0.357973 | + | 0.156320i | ||||
\(527\) | −42.5264 | + | 15.4783i | −1.85248 | + | 0.674247i | ||||
\(528\) | −19.2280 | − | 18.6479i | −0.836793 | − | 0.811544i | ||||
\(529\) | −1.23767 | − | 7.01915i | −0.0538116 | − | 0.305181i | ||||
\(530\) | 15.1499 | − | 0.950478i | 0.658068 | − | 0.0412861i | ||||
\(531\) | 24.5678 | + | 7.49442i | 1.06615 | + | 0.325230i | ||||
\(532\) | 15.3024 | + | 11.7656i | 0.663441 | + | 0.510102i | ||||
\(533\) | 3.42746 | − | 0.604353i | 0.148460 | − | 0.0261774i | ||||
\(534\) | −1.29191 | − | 0.110579i | −0.0559062 | − | 0.00478521i | ||||
\(535\) | −3.52197 | + | 4.19733i | −0.152268 | + | 0.181466i | ||||
\(536\) | −9.51151 | − | 15.9748i | −0.410835 | − | 0.690008i | ||||
\(537\) | 5.04420 | + | 24.7536i | 0.217673 | + | 1.06820i | ||||
\(538\) | −15.8531 | + | 3.83231i | −0.683474 | + | 0.165223i | ||||
\(539\) | −0.249780 | − | 27.0619i | −0.0107588 | − | 1.16564i | ||||
\(540\) | 1.32203 | − | 9.09929i | 0.0568910 | − | 0.391571i | ||||
\(541\) | 12.9471 | − | 22.4251i | 0.556640 | − | 0.964128i | −0.441134 | − | 0.897441i | \(-0.645424\pi\) |
0.997774 | − | 0.0666872i | \(-0.0212430\pi\) | |||||||
\(542\) | 1.45075 | + | 1.52397i | 0.0623150 | + | 0.0654602i | ||||
\(543\) | 27.9464 | − | 24.7404i | 1.19930 | − | 1.06171i | ||||
\(544\) | 25.2670 | − | 3.52842i | 1.08331 | − | 0.151280i | ||||
\(545\) | 1.51098 | + | 4.15139i | 0.0647233 | + | 0.177826i | ||||
\(546\) | 16.4626 | + | 19.3626i | 0.704536 | + | 0.828642i | ||||
\(547\) | 26.7858 | − | 4.72306i | 1.14528 | − | 0.201944i | 0.431365 | − | 0.902177i | \(-0.358032\pi\) |
0.713914 | + | 0.700234i | \(0.246921\pi\) | |||||||
\(548\) | −9.82152 | + | 7.44951i | −0.419555 | + | 0.318227i | ||||
\(549\) | 1.74323 | − | 0.0924472i | 0.0743992 | − | 0.00394555i | ||||
\(550\) | −10.2559 | + | 20.6512i | −0.437312 | + | 0.880571i | ||||
\(551\) | −23.4869 | + | 19.7078i | −1.00057 | + | 0.839582i | ||||
\(552\) | 19.0706 | − | 4.15376i | 0.811699 | − | 0.176796i | ||||
\(553\) | −3.48779 | − | 37.8529i | −0.148316 | − | 1.60967i | ||||
\(554\) | −19.4852 | + | 8.50880i | −0.827847 | + | 0.361504i | ||||
\(555\) | 6.41286 | − | 3.93255i | 0.272211 | − | 0.166927i | ||||
\(556\) | −16.5810 | − | 15.3650i | −0.703193 | − | 0.651623i | ||||
\(557\) | 11.3226i | 0.479753i | 0.970803 | + | 0.239876i | \(0.0771069\pi\) | ||||
−0.970803 | + | 0.239876i | \(0.922893\pi\) | |||||||
\(558\) | 19.0796 | + | 38.0585i | 0.807703 | + | 1.61115i | ||||
\(559\) | 1.35246 | − | 0.780846i | 0.0572031 | − | 0.0330263i | ||||
\(560\) | 9.23177 | − | 1.56544i | 0.390113 | − | 0.0661521i | ||||
\(561\) | −11.0772 | − | 28.0954i | −0.467679 | − | 1.18619i | ||||
\(562\) | 14.8727 | − | 20.1654i | 0.627367 | − | 0.850627i | ||||
\(563\) | −9.83044 | + | 3.57799i | −0.414304 | + | 0.150794i | −0.540758 | − | 0.841178i | \(-0.681862\pi\) |
0.126454 | + | 0.991972i | \(0.459640\pi\) | |||||||
\(564\) | −26.2916 | + | 29.9247i | −1.10707 | + | 1.26006i | ||||
\(565\) | 0.682484 | + | 3.87056i | 0.0287123 | + | 0.162836i | ||||
\(566\) | −10.0804 | − | 5.00614i | −0.423709 | − | 0.210424i | ||||
\(567\) | −15.7270 | − | 17.8791i | −0.660470 | − | 0.750852i | ||||
\(568\) | 32.0230 | − | 6.09123i | 1.34366 | − | 0.255583i | ||||
\(569\) | −29.6187 | + | 5.22258i | −1.24168 | + | 0.218942i | −0.755636 | − | 0.654991i | \(-0.772672\pi\) |
−0.486046 | + | 0.873933i | \(0.661561\pi\) | |||||||
\(570\) | 7.64023 | + | 2.03180i | 0.320014 | + | 0.0851026i | ||||
\(571\) | −8.72810 | − | 23.9803i | −0.365260 | − | 1.00354i | −0.977141 | − | 0.212593i | \(-0.931809\pi\) |
0.611881 | − | 0.790950i | \(-0.290413\pi\) | |||||||
\(572\) | 26.9749 | − | 13.8512i | 1.12788 | − | 0.579149i | ||||
\(573\) | −7.78445 | + | 3.06918i | −0.325200 | + | 0.128217i | ||||
\(574\) | −1.60247 | − | 2.90835i | −0.0668859 | − | 0.121392i | ||||
\(575\) | −8.40070 | − | 14.5504i | −0.350333 | − | 0.606795i | ||||
\(576\) | −6.03966 | − | 23.2276i | −0.251652 | − | 0.967818i | ||||
\(577\) | −8.87581 | −0.369505 | −0.184752 | − | 0.982785i | \(-0.559148\pi\) | ||||
−0.184752 | + | 0.982785i | \(0.559148\pi\) | |||||||
\(578\) | 4.53059 | + | 1.33429i | 0.188448 | + | 0.0554992i | ||||
\(579\) | 1.31631 | + | 2.14653i | 0.0547041 | + | 0.0892066i | ||||
\(580\) | −0.731754 | + | 14.8549i | −0.0303845 | + | 0.616816i | ||||
\(581\) | −10.3039 | − | 14.5719i | −0.427476 | − | 0.604542i | ||||
\(582\) | 7.81103 | − | 16.8334i | 0.323777 | − | 0.697767i | ||||
\(583\) | −30.1482 | − | 35.9292i | −1.24861 | − | 1.48803i | ||||
\(584\) | −9.65733 | + | 1.83696i | −0.399623 | + | 0.0760141i | ||||
\(585\) | 9.27767 | + | 4.71994i | 0.383584 | + | 0.195145i | ||||
\(586\) | −25.8751 | − | 12.8502i | −1.06889 | − | 0.530835i | ||||
\(587\) | −4.65466 | − | 26.3979i | −0.192118 | − | 1.08956i | −0.916463 | − | 0.400119i | \(-0.868969\pi\) |
0.724345 | − | 0.689438i | \(-0.242142\pi\) | |||||||
\(588\) | 12.4067 | − | 20.8344i | 0.511645 | − | 0.859197i | ||||
\(589\) | −34.3972 | + | 12.5196i | −1.41731 | + | 0.515860i | ||||
\(590\) | 4.28724 | + | 9.81780i | 0.176503 | + | 0.404192i | ||||
\(591\) | 23.4339 | + | 26.4706i | 0.963940 | + | 1.08885i | ||||
\(592\) | 11.4413 | − | 15.9574i | 0.470236 | − | 0.655845i | ||||
\(593\) | −21.0170 | − | 12.1342i | −0.863065 | − | 0.498291i | 0.00197246 | − | 0.999998i | \(-0.499372\pi\) |
−0.865037 | + | 0.501707i | \(0.832705\pi\) | |||||||
\(594\) | −25.0513 | + | 13.4006i | −1.02787 | + | 0.549832i | ||||
\(595\) | 10.2101 | + | 2.68534i | 0.418572 | + | 0.110088i | ||||
\(596\) | 8.10246 | − | 35.6052i | 0.331890 | − | 1.45845i | ||||
\(597\) | 11.9324 | − | 2.43154i | 0.488361 | − | 0.0995165i | ||||
\(598\) | −2.46683 | + | 21.9575i | −0.100876 | + | 0.897908i | ||||
\(599\) | 9.99307 | + | 8.38518i | 0.408306 | + | 0.342609i | 0.823694 | − | 0.567035i | \(-0.191910\pi\) |
−0.415388 | + | 0.909644i | \(0.636354\pi\) | |||||||
\(600\) | −17.4654 | + | 11.0359i | −0.713021 | + | 0.450538i | ||||
\(601\) | −0.217260 | − | 1.23214i | −0.00886224 | − | 0.0502602i | 0.980056 | − | 0.198722i | \(-0.0636790\pi\) |
−0.988918 | + | 0.148462i | \(0.952568\pi\) | |||||||
\(602\) | −1.12204 | − | 0.980396i | −0.0457311 | − | 0.0399579i | ||||
\(603\) | −19.2117 | + | 4.44796i | −0.782359 | + | 0.181135i | ||||
\(604\) | 24.9542 | + | 10.5001i | 1.01537 | + | 0.427242i | ||||
\(605\) | −3.43922 | + | 0.606428i | −0.139824 | + | 0.0246548i | ||||
\(606\) | −24.2226 | + | 17.0289i | −0.983976 | + | 0.691750i | ||||
\(607\) | −5.79470 | − | 15.9208i | −0.235200 | − | 0.646206i | −0.999998 | − | 0.00193632i | \(-0.999384\pi\) |
0.764798 | − | 0.644270i | \(-0.222839\pi\) | |||||||
\(608\) | 20.4371 | − | 2.85395i | 0.828832 | − | 0.115743i | ||||
\(609\) | 28.0690 | + | 26.3749i | 1.13741 | + | 1.06876i | ||||
\(610\) | 0.502018 | + | 0.527356i | 0.0203261 | + | 0.0213520i | ||||
\(611\) | −22.5475 | − | 39.0534i | −0.912175 | − | 1.57993i | ||||
\(612\) | 4.59858 | − | 26.6661i | 0.185887 | − | 1.07791i | ||||
\(613\) | −0.686616 | + | 1.18925i | −0.0277322 | + | 0.0480335i | −0.879558 | − | 0.475791i | \(-0.842162\pi\) |
0.851826 | + | 0.523824i | \(0.175495\pi\) | |||||||
\(614\) | 4.25887 | + | 4.47382i | 0.171874 | + | 0.180549i | ||||
\(615\) | −1.06463 | − | 0.846301i | −0.0429299 | − | 0.0341262i | ||||
\(616\) | −20.8236 | − | 20.0851i | −0.839009 | − | 0.809253i | ||||
\(617\) | 29.3112 | + | 5.16836i | 1.18002 | + | 0.208070i | 0.729046 | − | 0.684465i | \(-0.239964\pi\) |
0.450978 | + | 0.892535i | \(0.351075\pi\) | |||||||
\(618\) | −7.64257 | + | 28.7386i | −0.307429 | + | 1.15604i | ||||
\(619\) | −5.27306 | + | 14.4876i | −0.211942 | + | 0.582306i | −0.999421 | − | 0.0340359i | \(-0.989164\pi\) |
0.787478 | + | 0.616342i | \(0.211386\pi\) | |||||||
\(620\) | −6.88675 | + | 16.3668i | −0.276578 | + | 0.657308i | ||||
\(621\) | 1.96492 | − | 20.6082i | 0.0788496 | − | 0.826979i | ||||
\(622\) | 4.15931 | − | 8.37518i | 0.166773 | − | 0.335814i | ||||
\(623\) | −1.39574 | − | 0.115624i | −0.0559191 | − | 0.00463236i | ||||
\(624\) | 27.0996 | + | 1.95317i | 1.08485 | + | 0.0781895i | ||||
\(625\) | 10.6254 | + | 8.91577i | 0.425016 | + | 0.356631i | ||||
\(626\) | −36.9056 | + | 16.1159i | −1.47504 | + | 0.644122i | ||||
\(627\) | −8.95972 | − | 22.7248i | −0.357817 | − | 0.907542i | ||||
\(628\) | 0.567238 | + | 1.83473i | 0.0226353 | + | 0.0732137i | ||||
\(629\) | 19.1725 | − | 11.0692i | 0.764458 | − | 0.441360i | ||||
\(630\) | 1.40108 | − | 9.83222i | 0.0558203 | − | 0.391725i | ||||
\(631\) | −16.1481 | − | 9.32311i | −0.642846 | − | 0.371147i | 0.142864 | − | 0.989742i | \(-0.454369\pi\) |
−0.785710 | + | 0.618595i | \(0.787702\pi\) | |||||||
\(632\) | −31.4785 | − | 25.7009i | −1.25215 | − | 1.02233i | ||||
\(633\) | −34.0540 | + | 20.8829i | −1.35352 | + | 0.830021i | ||||
\(634\) | 0.106362 | − | 0.144213i | 0.00422416 | − | 0.00572741i | ||||
\(635\) | 10.2623 | − | 3.73516i | 0.407246 | − | 0.148225i | ||||
\(636\) | −6.35505 | − | 41.5415i | −0.251994 | − | 1.64723i | ||||
\(637\) | 17.8388 | + | 20.8653i | 0.706799 | + | 0.826713i | ||||
\(638\) | 38.2809 | − | 25.4241i | 1.51556 | − | 1.00655i | ||||
\(639\) | 4.19221 | − | 34.3194i | 0.165841 | − | 1.35766i | ||||
\(640\) | 5.72297 | − | 8.21273i | 0.226220 | − | 0.324636i | ||||
\(641\) | −8.44175 | − | 10.0605i | −0.333429 | − | 0.397365i | 0.573116 | − | 0.819474i | \(-0.305734\pi\) |
−0.906545 | + | 0.422109i | \(0.861290\pi\) | |||||||
\(642\) | 12.4422 | + | 8.67731i | 0.491055 | + | 0.342466i | ||||
\(643\) | 13.8931 | + | 38.1709i | 0.547890 | + | 1.50531i | 0.836554 | + | 0.547885i | \(0.184567\pi\) |
−0.288664 | + | 0.957430i | \(0.593211\pi\) | |||||||
\(644\) | 20.5863 | − | 4.54287i | 0.811212 | − | 0.179014i | ||||
\(645\) | −0.578791 | − | 0.193460i | −0.0227899 | − | 0.00761750i | ||||
\(646\) | 22.3184 | + | 6.57291i | 0.878104 | + | 0.258608i | ||||
\(647\) | −15.2593 | − | 26.4298i | −0.599904 | − | 1.03906i | −0.992835 | − | 0.119496i | \(-0.961872\pi\) |
0.392931 | − | 0.919568i | \(-0.371461\pi\) | |||||||
\(648\) | −25.4172 | − | 1.40272i | −0.998481 | − | 0.0551040i | ||||
\(649\) | 16.5507 | − | 28.6666i | 0.649670 | − | 1.12526i | ||||
\(650\) | −5.49565 | − | 22.7338i | −0.215557 | − | 0.891692i | ||||
\(651\) | 20.7206 | + | 41.0514i | 0.812105 | + | 1.60893i | ||||
\(652\) | −8.12009 | − | 15.8136i | −0.318007 | − | 0.619310i | ||||
\(653\) | −6.73221 | − | 1.18707i | −0.263452 | − | 0.0464537i | 0.0403619 | − | 0.999185i | \(-0.487149\pi\) |
−0.303814 | + | 0.952731i | \(0.598260\pi\) | |||||||
\(654\) | 11.0750 | − | 5.18976i | 0.433068 | − | 0.202936i | ||||
\(655\) | −7.78089 | − | 9.27290i | −0.304024 | − | 0.362322i | ||||
\(656\) | −3.41844 | − | 0.957033i | −0.133467 | − | 0.0373658i | ||||
\(657\) | −1.26426 | + | 10.3499i | −0.0493236 | + | 0.403787i | ||||
\(658\) | −28.3097 | + | 32.3998i | −1.10363 | + | 1.26308i | ||||
\(659\) | 43.3544 | + | 15.7797i | 1.68885 | + | 0.614691i | 0.994480 | − | 0.104929i | \(-0.0334615\pi\) |
0.694369 | + | 0.719619i | \(0.255684\pi\) | |||||||
\(660\) | −11.0399 | − | 4.30479i | −0.429728 | − | 0.167564i | ||||
\(661\) | −2.54086 | + | 14.4099i | −0.0988279 | + | 0.560481i | 0.894679 | + | 0.446709i | \(0.147404\pi\) |
−0.993507 | + | 0.113771i | \(0.963707\pi\) | |||||||
\(662\) | 20.9193 | − | 28.3638i | 0.813053 | − | 1.10239i | ||||
\(663\) | 26.9260 | + | 14.6088i | 1.04572 | + | 0.567358i | ||||
\(664\) | −18.8320 | − | 3.06030i | −0.730824 | − | 0.118763i | ||||
\(665\) | 8.25836 | + | 2.17202i | 0.320245 | + | 0.0842274i | ||||
\(666\) | −12.4246 | − | 16.7142i | −0.481445 | − | 0.647661i | ||||
\(667\) | 33.4856i | 1.29657i | ||||||||
\(668\) | −23.1672 | − | 5.27201i | −0.896365 | − | 0.203980i | ||||
\(669\) | −7.54468 | − | 19.1358i | −0.291694 | − | 0.739833i | ||||
\(670\) | −6.61929 | − | 4.88195i | −0.255725 | − | 0.188606i | ||||
\(671\) | 0.390654 | − | 2.21551i | 0.0150810 | − | 0.0855287i | ||||
\(672\) | −6.59214 | − | 25.0708i | −0.254297 | − | 0.967126i | ||||
\(673\) | 36.2287 | − | 30.3995i | 1.39651 | − | 1.17181i | 0.433891 | − | 0.900965i | \(-0.357140\pi\) |
0.962622 | − | 0.270849i | \(-0.0873043\pi\) | |||||||
\(674\) | 18.3034 | + | 27.5594i | 0.705022 | + | 1.06155i | ||||
\(675\) | 5.50641 | + | 21.2100i | 0.211942 | + | 0.816372i | ||||
\(676\) | −1.84553 | + | 4.38602i | −0.0709817 | + | 0.168693i | ||||
\(677\) | −23.1301 | + | 4.07845i | −0.888960 | + | 0.156748i | −0.599436 | − | 0.800423i | \(-0.704608\pi\) |
−0.289524 | + | 0.957171i | \(0.593497\pi\) | |||||||
\(678\) | 10.5049 | − | 2.83596i | 0.403437 | − | 0.108914i | ||||
\(679\) | 8.38713 | − | 18.2051i | 0.321869 | − | 0.698649i | ||||
\(680\) | 9.69745 | − | 5.77392i | 0.371880 | − | 0.221420i | ||||
\(681\) | 11.7363 | − | 4.62728i | 0.449737 | − | 0.177318i | ||||
\(682\) | 53.3287 | − | 12.8917i | 2.04206 | − | 0.493647i | ||||
\(683\) | −0.0833807 | + | 0.144420i | −0.00319047 | + | 0.00552606i | −0.867616 | − | 0.497234i | \(-0.834349\pi\) |
0.864426 | + | 0.502760i | \(0.167682\pi\) | |||||||
\(684\) | 3.71954 | − | 21.5687i | 0.142220 | − | 0.824701i | ||||
\(685\) | −2.72667 | + | 4.72273i | −0.104181 | + | 0.180446i | ||||
\(686\) | 13.3392 | − | 22.5403i | 0.509294 | − | 0.860593i | ||||
\(687\) | 19.7513 | + | 32.2086i | 0.753558 | + | 1.22884i | ||||
\(688\) | −1.58829 | + | 0.121090i | −0.0605529 | + | 0.00461652i | ||||
\(689\) | 46.8526 | + | 8.26138i | 1.78494 | + | 0.314734i | ||||
\(690\) | 7.06354 | − | 4.96577i | 0.268904 | − | 0.189044i | ||||
\(691\) | −25.0805 | − | 29.8897i | −0.954106 | − | 1.13706i | −0.990471 | − | 0.137721i | \(-0.956022\pi\) |
0.0363652 | − | 0.999339i | \(-0.488422\pi\) | |||||||
\(692\) | 3.37721 | + | 26.8091i | 0.128382 | + | 1.01913i | ||||
\(693\) | −27.0188 | + | 14.5482i | −1.02636 | + | 0.552640i | ||||
\(694\) | −12.5148 | + | 0.785160i | −0.475056 | + | 0.0298043i | ||||
\(695\) | −9.39733 | − | 3.42035i | −0.356461 | − | 0.129741i | ||||
\(696\) | 41.1428 | − | 1.64359i | 1.55951 | − | 0.0623001i | ||||
\(697\) | −3.06605 | − | 2.57272i | −0.116135 | − | 0.0974487i | ||||
\(698\) | 27.5019 | − | 12.0096i | 1.04096 | − | 0.454568i | ||||
\(699\) | 20.0027 | + | 22.5948i | 0.756571 | + | 0.854612i | ||||
\(700\) | −18.8321 | + | 11.9716i | −0.711787 | + | 0.452486i | ||||
\(701\) | 3.05004i | 0.115199i | 0.998340 | + | 0.0575993i | \(0.0183446\pi\) | ||||
−0.998340 | + | 0.0575993i | \(0.981655\pi\) | |||||||
\(702\) | 10.7285 | − | 26.7466i | 0.404921 | − | 1.00948i | ||||
\(703\) | 15.5076 | − | 8.95331i | 0.584880 | − | 0.337680i | ||||
\(704\) | −30.9180 | + | 0.831024i | −1.16527 | + | 0.0313204i | ||||
\(705\) | −5.58632 | + | 16.7130i | −0.210393 | + | 0.629449i | ||||
\(706\) | 1.73281 | − | 2.34947i | 0.0652153 | − | 0.0884234i | ||||
\(707\) | −26.1130 | + | 18.4647i | −0.982082 | + | 0.694437i | ||||
\(708\) | 26.0159 | − | 14.2419i | 0.977737 | − | 0.535245i | ||||
\(709\) | 26.1583 | + | 9.52085i | 0.982397 | + | 0.357563i | 0.782772 | − | 0.622309i | \(-0.213805\pi\) |
0.199625 | + | 0.979872i | \(0.436028\pi\) | |||||||
\(710\) | 12.0126 | − | 7.97810i | 0.450824 | − | 0.299413i | ||||
\(711\) | −36.1346 | + | 23.4981i | −1.35515 | + | 0.881246i | ||||
\(712\) | −1.13390 | + | 0.977717i | −0.0424948 | + | 0.0366415i | ||||
\(713\) | −13.6734 | + | 37.5673i | −0.512072 | + | 1.40691i | ||||
\(714\) | 4.88827 | − | 28.8161i | 0.182939 | − | 1.07842i | ||||
\(715\) | 8.62273 | − | 10.2762i | 0.322472 | − | 0.384307i | ||||
\(716\) | 24.5141 | + | 15.8105i | 0.916136 | + | 0.590865i | ||||
\(717\) | 2.51861 | − | 0.0667369i | 0.0940593 | − | 0.00249233i | ||||
\(718\) | −37.3677 | − | 11.0051i | −1.39455 | − | 0.410705i | ||||
\(719\) | 6.51366 | + | 11.2820i | 0.242918 | + | 0.420747i | 0.961544 | − | 0.274650i | \(-0.0885619\pi\) |
−0.718626 | + | 0.695397i | \(0.755229\pi\) | |||||||
\(720\) | −6.44800 | − | 8.43503i | −0.240303 | − | 0.314355i | ||||
\(721\) | −8.17003 | + | 31.0637i | −0.304268 | + | 1.15687i | ||||
\(722\) | −7.72340 | − | 2.27459i | −0.287435 | − | 0.0846516i | ||||
\(723\) | −6.59796 | + | 44.2422i | −0.245381 | + | 1.64539i | ||||
\(724\) | 2.12045 | − | 43.0460i | 0.0788060 | − | 1.59979i | ||||
\(725\) | −12.1229 | − | 33.3075i | −0.450235 | − | 1.23701i | ||||
\(726\) | 2.51992 | + | 9.33419i | 0.0935229 | + | 0.346424i | ||||
\(727\) | 15.1981 | + | 18.1123i | 0.563665 | + | 0.671749i | 0.970318 | − | 0.241833i | \(-0.0777487\pi\) |
−0.406653 | + | 0.913583i | \(0.633304\pi\) | |||||||
\(728\) | 29.2766 | + | 2.02964i | 1.08506 | + | 0.0752235i | ||||
\(729\) | −9.62883 | + | 25.2247i | −0.356623 | + | 0.934248i | ||||
\(730\) | −3.62269 | + | 2.40599i | −0.134082 | + | 0.0890498i | ||||
\(731\) | −1.68766 | − | 0.614259i | −0.0624204 | − | 0.0227192i | ||||
\(732\) | 1.33045 | − | 1.51430i | 0.0491749 | − | 0.0559701i | ||||
\(733\) | −26.0883 | − | 21.8907i | −0.963594 | − | 0.808551i | 0.0179399 | − | 0.999839i | \(-0.494289\pi\) |
−0.981534 | + | 0.191288i | \(0.938734\pi\) | |||||||
\(734\) | −33.0100 | − | 3.70853i | −1.21842 | − | 0.136884i | ||||
\(735\) | 1.48430 | − | 10.6241i | 0.0547492 | − | 0.391876i | ||||
\(736\) | 11.9596 | − | 19.1021i | 0.440838 | − | 0.704112i | ||||
\(737\) | 25.4133i | 0.936110i | ||||||||
\(738\) | −2.07127 | + | 3.14430i | −0.0762445 | + | 0.115743i | ||||
\(739\) | 8.19053i | 0.301293i | 0.988588 | + | 0.150647i | \(0.0481356\pi\) | ||||
−0.988588 | + | 0.150647i | \(0.951864\pi\) | |||||||
\(740\) | 1.92743 | − | 8.46983i | 0.0708536 | − | 0.311357i | ||||
\(741\) | 21.7790 | + | 11.8162i | 0.800070 | + | 0.434080i | ||||
\(742\) | −6.98688 | − | 44.8510i | −0.256496 | − | 1.64653i | ||||
\(743\) | 11.4807 | + | 9.63344i | 0.421185 | + | 0.353417i | 0.828614 | − | 0.559821i | \(-0.189130\pi\) |
−0.407428 | + | 0.913237i | \(0.633574\pi\) | |||||||
\(744\) | 46.8290 | + | 14.9562i | 1.71683 | + | 0.548319i | ||||
\(745\) | −2.80510 | − | 15.9085i | −0.102771 | − | 0.582844i | ||||
\(746\) | 5.90648 | − | 11.8933i | 0.216251 | − | 0.435444i | ||||
\(747\) | −9.17590 | + | 18.0365i | −0.335728 | + | 0.659920i | ||||
\(748\) | −32.1427 | − | 13.5248i | −1.17525 | − | 0.494517i | ||||
\(749\) | 13.4647 | + | 9.33579i | 0.491990 | + | 0.341122i | ||||
\(750\) | −11.4269 | + | 16.3848i | −0.417251 | + | 0.598288i | ||||
\(751\) | 32.3864 | + | 5.71059i | 1.18180 | + | 0.208382i | 0.729815 | − | 0.683645i | \(-0.239606\pi\) |
0.451981 | + | 0.892028i | \(0.350717\pi\) | |||||||
\(752\) | 3.49657 | + | 45.8630i | 0.127507 | + | 1.67245i | ||||
\(753\) | −2.00494 | + | 1.77493i | −0.0730639 | + | 0.0646820i | ||||
\(754\) | −13.1689 | + | 44.7152i | −0.479584 | + | 1.62843i | ||||
\(755\) | 11.9768 | 0.435882 | ||||||||
\(756\) | −27.4577 | − | 1.44005i | −0.998628 | − | 0.0523742i | ||||
\(757\) | −18.7986 | −0.683245 | −0.341623 | − | 0.939837i | \(-0.610976\pi\) | ||||
−0.341623 | + | 0.939837i | \(0.610976\pi\) | |||||||
\(758\) | 2.45469 | − | 8.33491i | 0.0891583 | − | 0.302738i | ||||
\(759\) | −25.3026 | − | 8.45736i | −0.918424 | − | 0.306983i | ||||
\(760\) | 7.84374 | − | 4.67021i | 0.284522 | − | 0.169406i | ||||
\(761\) | −26.2472 | − | 4.62809i | −0.951461 | − | 0.167768i | −0.323687 | − | 0.946164i | \(-0.604923\pi\) |
−0.627774 | + | 0.778396i | \(0.716034\pi\) | |||||||
\(762\) | −12.8291 | − | 27.3776i | −0.464751 | − | 0.991787i | ||||
\(763\) | 11.9470 | − | 5.63826i | 0.432512 | − | 0.204119i | ||||
\(764\) | −3.74735 | + | 8.90584i | −0.135574 | + | 0.322202i | ||||
\(765\) | −2.70012 | − | 11.6624i | −0.0976229 | − | 0.421653i | ||||
\(766\) | −2.10451 | + | 4.23765i | −0.0760391 | + | 0.153112i | ||||
\(767\) | 5.83048 | + | 33.0663i | 0.210527 | + | 1.19396i | ||||
\(768\) | −24.0572 | − | 13.7569i | −0.868089 | − | 0.496408i | ||||
\(769\) | −1.19278 | − | 1.00086i | −0.0430127 | − | 0.0360919i | 0.621028 | − | 0.783788i | \(-0.286715\pi\) |
−0.664041 | + | 0.747697i | \(0.731160\pi\) | |||||||
\(770\) | −11.9371 | − | 4.61709i | −0.430185 | − | 0.166388i | ||||
\(771\) | −0.647693 | + | 0.397184i | −0.0233261 | + | 0.0143042i | ||||
\(772\) | 2.83504 | + | 0.645152i | 0.102035 | + | 0.0232195i | ||||
\(773\) | − | 24.6756i | − | 0.887521i | −0.896146 | − | 0.443760i | \(-0.853644\pi\) | ||
0.896146 | − | 0.443760i | \(-0.146356\pi\) | |||||||
\(774\) | −0.390808 | + | 1.64370i | −0.0140473 | + | 0.0590816i | ||||
\(775\) | − | 42.3177i | − | 1.52010i | ||||||
\(776\) | −7.59875 | − | 20.0356i | −0.272779 | − | 0.719237i | ||||
\(777\) | −13.4695 | − | 18.0166i | −0.483214 | − | 0.646343i | ||||
\(778\) | 35.0649 | + | 3.93939i | 1.25714 | + | 0.141234i | ||||
\(779\) | −2.47996 | − | 2.08093i | −0.0888537 | − | 0.0745571i | ||||
\(780\) | 11.3852 | − | 3.85318i | 0.407657 | − | 0.137966i | ||||
\(781\) | −41.8696 | − | 15.2393i | −1.49821 | − | 0.545305i | ||||
\(782\) | 21.1673 | − | 14.0581i | 0.756940 | − | 0.502718i | ||||
\(783\) | 11.6319 | − | 42.0958i | 0.415689 | − | 1.50438i | ||||
\(784\) | −7.19433 | − | 27.0600i | −0.256940 | − | 0.966427i | ||||
\(785\) | 0.546090 | + | 0.650805i | 0.0194908 | + | 0.0232282i | ||||
\(786\) | −23.6522 | + | 23.7414i | −0.843647 | + | 0.846827i | ||||
\(787\) | −8.23714 | − | 22.6314i | −0.293622 | − | 0.806721i | −0.995529 | − | 0.0944522i | \(-0.969890\pi\) |
0.701907 | − | 0.712269i | \(-0.252332\pi\) | |||||||
\(788\) | 40.7727 | + | 2.00847i | 1.45247 | + | 0.0715488i | ||||
\(789\) | 8.58895 | + | 6.82759i | 0.305775 | + | 0.243069i | ||||
\(790\) | −17.2453 | − | 5.07886i | −0.613560 | − | 0.180698i | ||||
\(791\) | 11.3381 | − | 3.09419i | 0.403137 | − | 0.110017i | ||||
\(792\) | −9.14938 | + | 31.5036i | −0.325109 | + | 1.11943i | ||||
\(793\) | 1.14099 | + | 1.97625i | 0.0405176 | + | 0.0701786i | ||||
\(794\) | 39.3245 | + | 11.5813i | 1.39557 | + | 0.411006i | ||||
\(795\) | −9.71881 | − | 15.8486i | −0.344691 | − | 0.562091i | ||||
\(796\) | 7.62139 | − | 11.8170i | 0.270133 | − | 0.418841i | ||||
\(797\) | −5.81616 | + | 6.93143i | −0.206019 | + | 0.245524i | −0.859153 | − | 0.511718i | \(-0.829009\pi\) |
0.653134 | + | 0.757242i | \(0.273454\pi\) | |||||||
\(798\) | 3.95386 | − | 23.3078i | 0.139965 | − | 0.825087i | ||||
\(799\) | −17.7372 | + | 48.7325i | −0.627496 | + | 1.72403i | ||||
\(800\) | −4.98041 | + | 23.3303i | −0.176084 | + | 0.824850i | ||||
\(801\) | 0.621407 | + | 1.46141i | 0.0219563 | + | 0.0516365i | ||||
\(802\) | −4.67441 | + | 3.10449i | −0.165059 | + | 0.109623i | ||||
\(803\) | 12.6268 | + | 4.59579i | 0.445591 | + | 0.162182i | ||||
\(804\) | −11.8305 | + | 19.4560i | −0.417229 | + | 0.686160i | ||||
\(805\) | 7.61480 | − | 5.38448i | 0.268386 | − | 0.189778i | ||||
\(806\) | −33.0330 | + | 44.7884i | −1.16354 | + | 1.57760i | ||||
\(807\) | 13.2406 | + | 14.9564i | 0.466093 | + | 0.526491i | ||||
\(808\) | −5.48411 | + | 33.7473i | −0.192930 | + | 1.18723i | ||||
\(809\) | 26.0356 | − | 15.0317i | 0.915363 | − | 0.528485i | 0.0332102 | − | 0.999448i | \(-0.489427\pi\) |
0.882153 | + | 0.470963i | \(0.156094\pi\) | |||||||
\(810\) | −10.6048 | + | 3.78897i | −0.372613 | + | 0.133131i | ||||
\(811\) | 23.7220i | 0.832990i | 0.909138 | + | 0.416495i | \(0.136742\pi\) | ||||
−0.909138 | + | 0.416495i | \(0.863258\pi\) | |||||||
\(812\) | 44.4343 | − | 1.89676i | 1.55934 | − | 0.0665632i | ||||
\(813\) | 0.816922 | − | 2.44405i | 0.0286507 | − | 0.0857166i | ||||
\(814\) | −24.5963 | + | 10.7407i | −0.862101 | + | 0.376462i | ||||
\(815\) | −6.02426 | − | 5.05496i | −0.211021 | − | 0.177067i | ||||
\(816\) | −18.3118 | − | 25.3176i | −0.641042 | − | 0.886293i | ||||
\(817\) | −1.36506 | − | 0.496840i | −0.0477573 | − | 0.0173822i | ||||
\(818\) | 9.96741 | − | 0.625339i | 0.348502 | − | 0.0218645i | ||||
\(819\) | 11.5091 | − | 28.9212i | 0.402160 | − | 1.01059i | ||||
\(820\) | −1.55810 | + | 0.196278i | −0.0544113 | + | 0.00685433i | ||||
\(821\) | 33.3788 | + | 39.7793i | 1.16493 | + | 1.38831i | 0.906462 | + | 0.422286i | \(0.138772\pi\) |
0.258465 | + | 0.966021i | \(0.416783\pi\) | |||||||
\(822\) | 13.6950 | + | 6.35475i | 0.477668 | + | 0.221647i | ||||
\(823\) | 32.5701 | + | 5.74298i | 1.13532 | + | 0.200188i | 0.709558 | − | 0.704647i | \(-0.248895\pi\) |
0.425763 | + | 0.904835i | \(0.360006\pi\) | |||||||
\(824\) | 17.5669 | + | 29.5041i | 0.611972 | + | 1.02782i | ||||
\(825\) | 28.2298 | − | 0.748019i | 0.982837 | − | 0.0260427i | ||||
\(826\) | 28.0582 | − | 15.4598i | 0.976271 | − | 0.537916i | ||||
\(827\) | 4.26180 | − | 7.38166i | 0.148197 | − | 0.256685i | −0.782364 | − | 0.622822i | \(-0.785986\pi\) |
0.930561 | + | 0.366136i | \(0.119320\pi\) | |||||||
\(828\) | −15.4341 | − | 18.2538i | −0.536373 | − | 0.634362i | ||||
\(829\) | 12.5783 | − | 21.7863i | 0.436862 | − | 0.756668i | −0.560583 | − | 0.828098i | \(-0.689423\pi\) |
0.997446 | + | 0.0714302i | \(0.0227563\pi\) | |||||||
\(830\) | −8.20400 | + | 1.98323i | −0.284765 | + | 0.0688390i | ||||
\(831\) | 20.3846 | + | 16.2043i | 0.707133 | + | 0.562120i | ||||
\(832\) | 23.4827 | − | 20.8047i | 0.814115 | − | 0.721273i | ||||
\(833\) | 5.19483 | − | 31.1393i | 0.179990 | − | 1.07891i | ||||
\(834\) | −7.11539 | + | 26.7562i | −0.246386 | + | 0.926492i | ||||
\(835\) | −10.3512 | + | 1.82519i | −0.358217 | + | 0.0631634i | ||||
\(836\) | −25.9985 | − | 10.9395i | −0.899176 | − | 0.378350i | ||||
\(837\) | 30.2390 | − | 42.4774i | 1.04521 | − | 1.46823i | ||||
\(838\) | 19.5698 | + | 29.4661i | 0.676026 | + | 1.01789i | ||||
\(839\) | −5.87484 | + | 4.92958i | −0.202822 | + | 0.170188i | −0.738541 | − | 0.674208i | \(-0.764485\pi\) |
0.535719 | + | 0.844396i | \(0.320041\pi\) | |||||||
\(840\) | −6.98952 | − | 9.09180i | −0.241161 | − | 0.313697i | ||||
\(841\) | −7.23122 | + | 41.0103i | −0.249352 | + | 1.41415i | ||||
\(842\) | −35.0418 | − | 25.8446i | −1.20762 | − | 0.890663i | ||||
\(843\) | −30.3525 | − | 4.52655i | −1.04539 | − | 0.155903i | ||||
\(844\) | −10.2351 | + | 44.9771i | −0.352308 | + | 1.54817i | ||||
\(845\) | 2.10509i | 0.0724172i | ||||||||
\(846\) | 47.4631 | + | 11.2849i | 1.63182 | + | 0.387983i | ||||
\(847\) | 2.74937 | + | 10.0746i | 0.0944696 | + | 0.346167i | ||||
\(848\) | −39.4367 | − | 28.2758i | −1.35426 | − | 0.970996i | ||||
\(849\) | 0.365126 | + | 13.7797i | 0.0125311 | + | 0.472917i | ||||
\(850\) | −15.9652 | + | 21.6467i | −0.547601 | + | 0.742475i | ||||
\(851\) | 3.39602 | − | 19.2598i | 0.116414 | − | 0.660217i | ||||
\(852\) | −24.9605 | − | 31.1583i | −0.855131 | − | 1.06747i | ||||
\(853\) | 18.2908 | + | 6.65732i | 0.626266 | + | 0.227942i | 0.635605 | − | 0.772014i | \(-0.280751\pi\) |
−0.00933929 | + | 0.999956i | \(0.502973\pi\) | |||||||
\(854\) | 1.43257 | − | 1.63955i | 0.0490217 | − | 0.0561043i | ||||
\(855\) | −2.18398 | − | 9.43304i | −0.0746904 | − | 0.322603i | ||||
\(856\) | 17.2074 | − | 3.27309i | 0.588135 | − | 0.111872i | ||||
\(857\) | −22.5786 | − | 26.9081i | −0.771269 | − | 0.919163i | 0.227235 | − | 0.973840i | \(-0.427031\pi\) |
−0.998504 | + | 0.0546772i | \(0.982587\pi\) | |||||||
\(858\) | −30.4619 | − | 21.2444i | −1.03995 | − | 0.725270i | ||||
\(859\) | −14.7255 | − | 2.59651i | −0.502429 | − | 0.0885917i | −0.0833109 | − | 0.996524i | \(-0.526549\pi\) |
−0.419118 | + | 0.907932i | \(0.637661\pi\) | |||||||
\(860\) | −0.626863 | + | 0.321886i | −0.0213759 | + | 0.0109762i | ||||
\(861\) | −2.22794 | + | 3.40234i | −0.0759278 | + | 0.115951i | ||||
\(862\) | −6.91668 | − | 28.6121i | −0.235583 | − | 0.974532i | ||||
\(863\) | −21.3409 | + | 36.9636i | −0.726454 | + | 1.25826i | 0.231918 | + | 0.972735i | \(0.425500\pi\) |
−0.958373 | + | 0.285520i | \(0.907834\pi\) | |||||||
\(864\) | −21.6703 | + | 19.8594i | −0.737239 | + | 0.675632i | ||||
\(865\) | 5.97686 | + | 10.3522i | 0.203219 | + | 0.351986i | ||||
\(866\) | 26.1467 | + | 7.70038i | 0.888501 | + | 0.261670i | ||||
\(867\) | −1.15500 | − | 5.66797i | −0.0392258 | − | 0.192494i | ||||
\(868\) | 50.6251 | + | 16.0162i | 1.71833 | + | 0.543624i | ||||
\(869\) | 18.9983 | + | 52.1975i | 0.644475 | + | 1.77068i | ||||
\(870\) | 16.4944 | − | 7.72925i | 0.559211 | − | 0.262046i | ||||
\(871\) | −16.5698 | − | 19.7471i | −0.561446 | − | 0.669105i | ||||
\(872\) | 4.65154 | − | 13.3348i | 0.157521 | − | 0.451573i | ||||
\(873\) | −22.6961 | + | 1.20362i | −0.768148 | + | 0.0407365i | ||||
\(874\) | 17.1210 | − | 11.3709i | 0.579128 | − | 0.384625i | ||||
\(875\) | −12.2940 | + | 17.7313i | −0.415613 | + | 0.599426i | ||||
\(876\) | 7.52745 | + | 9.39656i | 0.254329 | + | 0.317480i | ||||
\(877\) | −23.8649 | + | 8.68611i | −0.805860 | + | 0.293309i | −0.711913 | − | 0.702268i | \(-0.752171\pi\) |
−0.0939474 | + | 0.995577i | \(0.529949\pi\) | |||||||
\(878\) | −10.3459 | + | 14.0277i | −0.349157 | + | 0.473411i | ||||
\(879\) | 0.937235 | + | 35.3707i | 0.0316121 | + | 1.19303i | ||||
\(880\) | −12.4645 | + | 5.64361i | −0.420179 | + | 0.190246i | ||||
\(881\) | −11.5658 | − | 6.67749i | −0.389660 | − | 0.224970i | 0.292353 | − | 0.956311i | \(-0.405562\pi\) |
−0.682013 | + | 0.731340i | \(0.738895\pi\) | |||||||
\(882\) | −29.6619 | − | 1.47435i | −0.998767 | − | 0.0496440i | ||||
\(883\) | −28.5051 | + | 16.4574i | −0.959272 | + | 0.553836i | −0.895949 | − | 0.444157i | \(-0.853503\pi\) |
−0.0633234 | + | 0.997993i | \(0.520170\pi\) | |||||||
\(884\) | 33.7945 | − | 10.4482i | 1.13663 | − | 0.351409i | ||||
\(885\) | 8.16467 | − | 10.2710i | 0.274452 | − | 0.345255i | ||||
\(886\) | 19.7298 | − | 8.61561i | 0.662836 | − | 0.289447i | ||||
\(887\) | −1.23100 | − | 1.03293i | −0.0413331 | − | 0.0346826i | 0.621887 | − | 0.783107i | \(-0.286366\pi\) |
−0.663220 | + | 0.748424i | \(0.730811\pi\) | |||||||
\(888\) | −23.8306 | − | 3.22725i | −0.799704 | − | 0.108300i | ||||
\(889\) | −13.9379 | − | 29.5332i | −0.467461 | − | 0.990512i | ||||
\(890\) | −0.294608 | + | 0.593222i | −0.00987528 | + | 0.0198849i | ||||
\(891\) | 28.8708 | + | 19.4214i | 0.967209 | + | 0.650640i | ||||
\(892\) | −21.8924 | − | 9.21178i | −0.733013 | − | 0.308433i | ||||
\(893\) | −14.3466 | + | 39.4170i | −0.480092 | + | 1.31904i | ||||
\(894\) | −43.1764 | + | 11.6562i | −1.44404 | + | 0.389841i | ||||
\(895\) | 12.7085 | + | 2.24086i | 0.424800 | + | 0.0749037i | ||||
\(896\) | −26.0253 | − | 14.7880i | −0.869443 | − | 0.494033i | ||||
\(897\) | 25.1754 | − | 9.92591i | 0.840582 | − | 0.331416i | ||||
\(898\) | 27.3245 | + | 28.7037i | 0.911832 | + | 0.957854i | ||||
\(899\) | −42.1701 | + | 73.0408i | −1.40645 | + | 2.43605i | ||||
\(900\) | 21.9605 | + | 12.5690i | 0.732018 | + | 0.418967i | ||||
\(901\) | −27.3563 | − | 47.3824i | −0.911369 | − | 1.57854i | ||||
\(902\) | 3.34561 | + | 3.51448i | 0.111397 | + | 0.117019i | ||||
\(903\) | −0.417266 | + | 1.77655i | −0.0138858 | + | 0.0591198i | ||||
\(904\) | 6.13535 | − | 10.9644i | 0.204059 | − | 0.364669i | ||||
\(905\) | −6.52097 | − | 17.9162i | −0.216764 | − | 0.595555i | ||||
\(906\) | −2.95203 | − | 33.0262i | −0.0980746 | − | 1.09722i | ||||
\(907\) | 22.5570 | − | 3.97741i | 0.748993 | − | 0.132068i | 0.213894 | − | 0.976857i | \(-0.431385\pi\) |
0.535099 | + | 0.844789i | \(0.320274\pi\) | |||||||
\(908\) | 5.64974 | − | 13.4270i | 0.187493 | − | 0.445591i | ||||
\(909\) | 32.3217 | + | 16.4434i | 1.07204 | + | 0.545392i | ||||
\(910\) | 12.2860 | − | 4.19552i | 0.407278 | − | 0.139080i | ||||
\(911\) | −2.11632 | − | 12.0022i | −0.0701168 | − | 0.397652i | −0.999587 | − | 0.0287538i | \(-0.990846\pi\) |
0.929470 | − | 0.368898i | \(-0.120265\pi\) | |||||||
\(912\) | −14.8114 | − | 20.4780i | −0.490455 | − | 0.678095i | ||||
\(913\) | 19.9776 | + | 16.7632i | 0.661163 | + | 0.554782i | ||||
\(914\) | 2.27681 | − | 20.2661i | 0.0753102 | − | 0.670343i | ||||
\(915\) | 0.282688 | − | 0.845741i | 0.00934539 | − | 0.0279593i | ||||
\(916\) | 42.5398 | + | 9.68051i | 1.40555 | + | 0.319853i | ||||
\(917\) | −25.4771 | + | 25.7134i | −0.841329 | + | 0.849130i | ||||
\(918\) | −31.4934 | + | 10.3201i | −1.03944 | + | 0.340614i | ||||
\(919\) | 16.1528 | + | 9.32585i | 0.532833 | + | 0.307631i | 0.742169 | − | 0.670212i | \(-0.233797\pi\) |
−0.209336 | + | 0.977844i | \(0.567130\pi\) | |||||||
\(920\) | 1.59922 | − | 9.84102i | 0.0527246 | − | 0.324449i | ||||
\(921\) | 2.39818 | − | 7.17484i | 0.0790228 | − | 0.236419i | ||||
\(922\) | −11.0698 | − | 25.3499i | −0.364564 | − | 0.834854i | ||||
\(923\) | 42.4706 | − | 15.4580i | 1.39794 | − | 0.508807i | ||||
\(924\) | −9.78939 | + | 34.0547i | −0.322047 | + | 1.12032i | ||||
\(925\) | 3.59475 | + | 20.3868i | 0.118195 | + | 0.670315i | ||||
\(926\) | 13.7041 | + | 6.80579i | 0.450346 | + | 0.223652i | ||||
\(927\) | 35.4822 | − | 8.21499i | 1.16539 | − | 0.269816i | ||||
\(928\) | 31.8451 | − | 35.3052i | 1.04537 | − | 1.15895i | ||||
\(929\) | 34.9446 | + | 41.6453i | 1.14649 | + | 1.36634i | 0.919807 | + | 0.392372i | \(0.128345\pi\) |
0.226688 | + | 0.973967i | \(0.427210\pi\) | |||||||
\(930\) | 21.6611 | − | 1.93616i | 0.710295 | − | 0.0634893i | ||||
\(931\) | 4.20181 | − | 25.1869i | 0.137709 | − | 0.825467i | ||||
\(932\) | 34.8028 | + | 1.71439i | 1.14000 | + | 0.0561568i | ||||
\(933\) | −11.4487 | + | 0.303362i | −0.374814 | + | 0.00993162i | ||||
\(934\) | 1.74633 | + | 0.514305i | 0.0571416 | + | 0.0168286i | ||||
\(935\) | −15.4270 | −0.504517 | ||||||||
\(936\) | −13.4314 | − | 30.4451i | −0.439018 | − | 0.995129i | ||||
\(937\) | −27.0681 | − | 46.8833i | −0.884276 | − | 1.53161i | −0.846542 | − | 0.532322i | \(-0.821319\pi\) |
−0.0377338 | − | 0.999288i | \(-0.512014\pi\) | |||||||
\(938\) | −12.7209 | + | 21.0497i | −0.415352 | + | 0.687298i | ||||
\(939\) | 38.6090 | + | 30.6914i | 1.25996 | + | 1.00157i | ||||
\(940\) | 9.29470 | + | 18.1012i | 0.303160 | + | 0.590395i | ||||
\(941\) | 9.64655 | + | 26.5037i | 0.314468 | + | 0.863995i | 0.991740 | + | 0.128262i | \(0.0409399\pi\) |
−0.677272 | + | 0.735733i | \(0.736838\pi\) | |||||||
\(942\) | 1.66000 | − | 1.66625i | 0.0540856 | − | 0.0542895i | ||||
\(943\) | −3.48199 | + | 0.613970i | −0.113389 | + | 0.0199936i | ||||
\(944\) | 9.23295 | − | 32.9793i | 0.300507 | − | 1.07338i | ||||
\(945\) | −11.4432 | + | 4.12386i | −0.372248 | + | 0.134149i | ||||
\(946\) | 1.95008 | + | 0.968453i | 0.0634024 | + | 0.0314871i | ||||
\(947\) | −7.22353 | − | 40.9667i | −0.234733 | − | 1.33124i | −0.843175 | − | 0.537639i | \(-0.819316\pi\) |
0.608442 | − | 0.793599i | \(-0.291795\pi\) | |||||||
\(948\) | −9.75438 | + | 48.8058i | −0.316807 | + | 1.58514i | ||||
\(949\) | −12.8081 | + | 4.66175i | −0.415767 | + | 0.151327i | ||||
\(950\) | −12.9133 | + | 17.5088i | −0.418964 | + | 0.568060i | ||||
\(951\) | −0.217065 | − | 0.0323715i | −0.00703881 | − | 0.00104972i | ||||
\(952\) | −19.8537 | − | 27.2920i | −0.643462 | − | 0.884538i | ||||
\(953\) | −10.1945 | + | 5.88578i | −0.330231 | + | 0.190659i | −0.655944 | − | 0.754810i | \(-0.727729\pi\) |
0.325712 | + | 0.945469i | \(0.394396\pi\) | |||||||
\(954\) | −41.3070 | + | 30.7060i | −1.33736 | + | 0.994142i | ||||
\(955\) | 4.27439i | 0.138316i | ||||||||
\(956\) | 1.97742 | − | 2.13392i | 0.0639545 | − | 0.0690159i | ||||
\(957\) | −49.4704 | − | 26.8403i | −1.59915 | − | 0.867623i | ||||
\(958\) | −5.35870 | + | 2.34004i | −0.173132 | + | 0.0756033i | ||||
\(959\) | 14.8110 | + | 6.82345i | 0.478272 | + | 0.220341i | ||||
\(960\) | −12.1699 | − | 1.48188i | −0.392781 | − | 0.0478275i | ||||
\(961\) | −53.3883 | + | 44.7981i | −1.72220 | + | 1.44510i | ||||
\(962\) | 12.1092 | − | 24.3831i | 0.390417 | − | 0.786143i | ||||
\(963\) | 2.25266 | − | 18.4413i | 0.0725908 | − | 0.594263i | ||||
\(964\) | 31.2140 | + | 41.1529i | 1.00533 | + | 1.32545i | ||||
\(965\) | 1.26671 | − | 0.223354i | 0.0407767 | − | 0.00719004i | ||||
\(966\) | −16.7246 | − | 19.6707i | −0.538105 | − | 0.632894i | ||||
\(967\) | −2.67139 | − | 7.33958i | −0.0859061 | − | 0.236025i | 0.889300 | − | 0.457325i | \(-0.151192\pi\) |
−0.975206 | + | 0.221300i | \(0.928970\pi\) | |||||||
\(968\) | 9.74248 | + | 5.45162i | 0.313135 | + | 0.175222i | ||||
\(969\) | −5.68969 | − | 27.9212i | −0.182779 | − | 0.896959i | ||||
\(970\) | −6.53607 | − | 6.86596i | −0.209861 | − | 0.220453i | ||||
\(971\) | −6.55663 | + | 11.3564i | −0.210412 | + | 0.364444i | −0.951844 | − | 0.306584i | \(-0.900814\pi\) |
0.741431 | + | 0.671029i | \(0.234147\pi\) | |||||||
\(972\) | 13.0619 | + | 28.3088i | 0.418962 | + | 0.908004i | ||||
\(973\) | −7.60646 | + | 28.9209i | −0.243852 | + | 0.927162i | ||||
\(974\) | −32.0197 | + | 7.74044i | −1.02598 | + | 0.248020i | ||||
\(975\) | −21.4480 | + | 18.9875i | −0.686885 | + | 0.608086i | ||||
\(976\) | −0.176939 | − | 2.32084i | −0.00566369 | − | 0.0742882i | ||||
\(977\) | −34.3034 | + | 40.8812i | −1.09746 | + | 1.30791i | −0.149771 | + | 0.988721i | \(0.547854\pi\) |
−0.947692 | + | 0.319185i | \(0.896591\pi\) | |||||||
\(978\) | −12.4542 | + | 17.8579i | −0.398242 | + | 0.571031i | ||||
\(979\) | 2.01544 | − | 0.355377i | 0.0644138 | − | 0.0113579i | ||||
\(980\) | −7.57636 | − | 9.79959i | −0.242018 | − | 0.313036i | ||||
\(981\) | −11.9688 | − | 9.00743i | −0.382133 | − | 0.287585i | ||||
\(982\) | −25.4772 | + | 1.59840i | −0.813009 | + | 0.0510069i | ||||
\(983\) | 2.27529 | + | 12.9038i | 0.0725704 | + | 0.411567i | 0.999353 | + | 0.0359687i | \(0.0114517\pi\) |
−0.926783 | + | 0.375598i | \(0.877437\pi\) | |||||||
\(984\) | 0.925275 | + | 4.24809i | 0.0294967 | + | 0.135424i | ||||
\(985\) | 16.9701 | − | 6.17660i | 0.540711 | − | 0.196803i | ||||
\(986\) | 49.1272 | − | 21.4529i | 1.56453 | − | 0.683198i | ||||
\(987\) | 51.2992 | + | 12.0489i | 1.63287 | + | 0.383520i | ||||
\(988\) | 27.3345 | − | 8.45093i | 0.869627 | − | 0.268860i | ||||
\(989\) | −1.37398 | + | 0.793271i | −0.0436902 | + | 0.0252245i | ||||
\(990\) | 1.67449 | + | 14.4157i | 0.0532187 | + | 0.458161i | ||||
\(991\) | −17.6634 | − | 10.1980i | −0.561096 | − | 0.323949i | 0.192489 | − | 0.981299i | \(-0.438344\pi\) |
−0.753585 | + | 0.657350i | \(0.771677\pi\) | |||||||
\(992\) | 50.1433 | − | 26.6052i | 1.59205 | − | 0.844717i | ||||
\(993\) | −42.6925 | − | 6.36685i | −1.35481 | − | 0.202046i | ||||
\(994\) | −27.0523 | − | 33.5810i | −0.858046 | − | 1.06512i | ||||
\(995\) | 1.08020 | − | 6.12612i | 0.0342446 | − | 0.194211i | ||||
\(996\) | 7.49087 | + | 22.1337i | 0.237357 | + | 0.701334i | ||||
\(997\) | 8.78546 | + | 3.19765i | 0.278238 | + | 0.101271i | 0.477370 | − | 0.878702i | \(-0.341590\pi\) |
−0.199132 | + | 0.979973i | \(0.563812\pi\) | |||||||
\(998\) | 0.288824 | + | 4.60362i | 0.00914256 | + | 0.145725i | ||||
\(999\) | −10.9595 | + | 23.0324i | −0.346744 | + | 0.728714i |
(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 | 756.2.bs.a.275.13 | yes | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.275.29 | yes | 840 | |
7.4 | even | 3 | 756.2.ci.a.599.107 | yes | 840 | ||
27.11 | odd | 18 | 756.2.ci.a.443.64 | yes | 840 | ||
28.11 | odd | 6 | 756.2.ci.a.599.64 | yes | 840 | ||
108.11 | even | 18 | 756.2.ci.a.443.107 | yes | 840 | ||
189.11 | odd | 18 | inner | 756.2.bs.a.11.29 | yes | 840 | |
756.11 | even | 18 | inner | 756.2.bs.a.11.13 | ✓ | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.13 | ✓ | 840 | 756.11 | even | 18 | inner | |
756.2.bs.a.11.29 | yes | 840 | 189.11 | odd | 18 | inner | |
756.2.bs.a.275.13 | yes | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.275.29 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.ci.a.443.64 | yes | 840 | 27.11 | odd | 18 | ||
756.2.ci.a.443.107 | yes | 840 | 108.11 | even | 18 | ||
756.2.ci.a.599.64 | yes | 840 | 28.11 | odd | 6 | ||
756.2.ci.a.599.107 | yes | 840 | 7.4 | even | 3 |