Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.15 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.194555 | − | 1.40077i | −0.137571 | − | 0.990492i | ||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | −1.92430 | + | 0.545051i | −0.962149 | + | 0.272526i | ||||
\(5\) | 1.56105 | + | 1.60098i | 0.698121 | + | 0.715980i | ||||
\(6\) | −0.0269690 | + | 1.41396i | −0.0110100 | + | 0.577245i | ||||
\(7\) | 1.26539 | − | 1.26539i | 0.478274 | − | 0.478274i | −0.426305 | − | 0.904579i | \(-0.640185\pi\) |
0.904579 | + | 0.426305i | \(0.140185\pi\) | |||||||
\(8\) | 1.13787 | + | 2.58945i | 0.402298 | + | 0.915509i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 1.93889 | − | 2.49814i | 0.613131 | − | 0.789981i | ||||
\(11\) | 2.45369 | − | 0.797253i | 0.739816 | − | 0.240381i | 0.0852225 | − | 0.996362i | \(-0.472840\pi\) |
0.654593 | + | 0.755981i | \(0.272840\pi\) | |||||||
\(12\) | 1.98587 | − | 0.237314i | 0.573271 | − | 0.0685068i | ||||
\(13\) | 0.719314 | + | 1.41173i | 0.199502 | + | 0.391544i | 0.968984 | − | 0.247124i | \(-0.0794856\pi\) |
−0.769482 | + | 0.638668i | \(0.779486\pi\) | |||||||
\(14\) | −2.01871 | − | 1.52633i | −0.539523 | − | 0.407930i | ||||
\(15\) | −1.29138 | − | 1.82547i | −0.333432 | − | 0.471334i | ||||
\(16\) | 3.40584 | − | 2.09768i | 0.851460 | − | 0.524420i | ||||
\(17\) | −0.968521 | − | 6.11500i | −0.234901 | − | 1.48310i | −0.769852 | − | 0.638222i | \(-0.779670\pi\) |
0.534952 | − | 0.844883i | \(-0.320330\pi\) | |||||||
\(18\) | 0.247828 | − | 1.39233i | 0.0584137 | − | 0.328175i | ||||
\(19\) | 4.18468 | + | 3.04035i | 0.960031 | + | 0.697503i | 0.953158 | − | 0.302473i | \(-0.0978122\pi\) |
0.00687313 | + | 0.999976i | \(0.497812\pi\) | |||||||
\(20\) | −3.87653 | − | 2.22991i | −0.866819 | − | 0.498623i | ||||
\(21\) | −1.44777 | + | 1.05186i | −0.315928 | + | 0.229535i | ||||
\(22\) | −1.59414 | − | 3.28194i | −0.339872 | − | 0.699712i | ||||
\(23\) | 2.77576 | − | 5.44773i | 0.578786 | − | 1.13593i | −0.397126 | − | 0.917764i | \(-0.629992\pi\) |
0.975912 | − | 0.218167i | \(-0.0700077\pi\) | |||||||
\(24\) | −0.718783 | − | 2.73557i | −0.146721 | − | 0.558396i | ||||
\(25\) | −0.126271 | + | 4.99841i | −0.0252543 | + | 0.999681i | ||||
\(26\) | 1.83756 | − | 1.28225i | 0.360376 | − | 0.251470i | ||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | −1.74529 | + | 3.12470i | −0.329829 | + | 0.590512i | ||||
\(29\) | −2.10923 | − | 2.90311i | −0.391674 | − | 0.539093i | 0.566956 | − | 0.823748i | \(-0.308121\pi\) |
−0.958630 | + | 0.284655i | \(0.908121\pi\) | |||||||
\(30\) | −2.30582 | + | 2.16407i | −0.420982 | + | 0.395104i | ||||
\(31\) | −3.46723 | + | 4.77223i | −0.622733 | + | 0.857119i | −0.997548 | − | 0.0699809i | \(-0.977706\pi\) |
0.374815 | + | 0.927100i | \(0.377706\pi\) | |||||||
\(32\) | −3.60098 | − | 4.36267i | −0.636570 | − | 0.771219i | ||||
\(33\) | −2.54820 | + | 0.403595i | −0.443585 | + | 0.0702569i | ||||
\(34\) | −8.37726 | + | 2.54637i | −1.43669 | + | 0.436699i | ||||
\(35\) | 4.00121 | + | 0.0505318i | 0.676328 | + | 0.00854144i | ||||
\(36\) | −1.99855 | − | 0.0762659i | −0.333091 | − | 0.0127110i | ||||
\(37\) | 8.50512 | − | 4.33357i | 1.39823 | − | 0.712435i | 0.417662 | − | 0.908602i | \(-0.362850\pi\) |
0.980570 | + | 0.196167i | \(0.0628495\pi\) | |||||||
\(38\) | 3.44467 | − | 6.45327i | 0.558799 | − | 1.04686i | ||||
\(39\) | −0.489614 | − | 1.50688i | −0.0784010 | − | 0.241293i | ||||
\(40\) | −2.36939 | + | 5.86396i | −0.374633 | + | 0.927173i | ||||
\(41\) | −2.24529 | + | 6.91028i | −0.350655 | + | 1.07920i | 0.607831 | + | 0.794066i | \(0.292040\pi\) |
−0.958486 | + | 0.285139i | \(0.907960\pi\) | |||||||
\(42\) | 1.75509 | + | 1.82334i | 0.270816 | + | 0.281347i | ||||
\(43\) | 1.96263 | + | 1.96263i | 0.299299 | + | 0.299299i | 0.840739 | − | 0.541440i | \(-0.182121\pi\) |
−0.541440 | + | 0.840739i | \(0.682121\pi\) | |||||||
\(44\) | −4.28709 | + | 2.87154i | −0.646303 | + | 0.432901i | ||||
\(45\) | 0.989913 | + | 2.00501i | 0.147568 | + | 0.298890i | ||||
\(46\) | −8.17104 | − | 2.82831i | −1.20475 | − | 0.417012i | ||||
\(47\) | 0.00589566 | − | 0.0372238i | 0.000859971 | − | 0.00542964i | −0.987255 | − | 0.159149i | \(-0.949125\pi\) |
0.988115 | + | 0.153719i | \(0.0491251\pi\) | |||||||
\(48\) | −3.69206 | + | 1.53906i | −0.532902 | + | 0.222145i | ||||
\(49\) | 3.79756i | 0.542508i | ||||||||
\(50\) | 7.02617 | − | 0.795586i | 0.993650 | − | 0.112513i | ||||
\(51\) | 6.19122i | 0.866944i | ||||||||
\(52\) | −2.15364 | − | 2.32453i | −0.298656 | − | 0.322354i | ||||
\(53\) | −1.13623 | + | 7.17385i | −0.156073 | + | 0.985404i | 0.777985 | + | 0.628283i | \(0.216242\pi\) |
−0.934058 | + | 0.357122i | \(0.883758\pi\) | |||||||
\(54\) | −0.462586 | + | 1.33642i | −0.0629499 | + | 0.181864i | ||||
\(55\) | 5.10671 | + | 2.68376i | 0.688589 | + | 0.361878i | ||||
\(56\) | 4.71653 | + | 1.83682i | 0.630273 | + | 0.245455i | ||||
\(57\) | −3.65754 | − | 3.65754i | −0.484453 | − | 0.484453i | ||||
\(58\) | −3.65622 | + | 3.51935i | −0.480085 | + | 0.462114i | ||||
\(59\) | 2.91440 | − | 8.96960i | 0.379422 | − | 1.16774i | −0.561024 | − | 0.827800i | \(-0.689592\pi\) |
0.940446 | − | 0.339942i | \(-0.110408\pi\) | |||||||
\(60\) | 3.47997 | + | 2.80888i | 0.449262 | + | 0.362625i | ||||
\(61\) | −0.911425 | − | 2.80508i | −0.116696 | − | 0.359153i | 0.875601 | − | 0.483035i | \(-0.160466\pi\) |
−0.992297 | + | 0.123882i | \(0.960466\pi\) | |||||||
\(62\) | 7.35935 | + | 3.92832i | 0.934639 | + | 0.498898i | ||||
\(63\) | 1.59449 | − | 0.812433i | 0.200887 | − | 0.102357i | ||||
\(64\) | −5.41050 | + | 5.89292i | −0.676313 | + | 0.736615i | ||||
\(65\) | −1.13727 | + | 3.35539i | −0.141061 | + | 0.416184i | ||||
\(66\) | 1.06111 | + | 3.49091i | 0.130613 | + | 0.429702i | ||||
\(67\) | −6.72692 | + | 1.06544i | −0.821825 | + | 0.130164i | −0.553166 | − | 0.833071i | \(-0.686580\pi\) |
−0.268659 | + | 0.963235i | \(0.586580\pi\) | |||||||
\(68\) | 5.19671 | + | 11.2392i | 0.630194 | + | 1.36295i | ||||
\(69\) | −3.59380 | + | 4.94644i | −0.432642 | + | 0.595481i | ||||
\(70\) | −0.707670 | − | 5.61459i | −0.0845827 | − | 0.671072i | ||||
\(71\) | 1.78138 | + | 2.45186i | 0.211411 | + | 0.290982i | 0.901533 | − | 0.432711i | \(-0.142443\pi\) |
−0.690122 | + | 0.723693i | \(0.742443\pi\) | |||||||
\(72\) | 0.281995 | + | 2.81433i | 0.0332335 | + | 0.331672i | ||||
\(73\) | 6.68488 | + | 3.40612i | 0.782406 | + | 0.398656i | 0.799095 | − | 0.601205i | \(-0.205312\pi\) |
−0.0166887 | + | 0.999861i | \(0.505312\pi\) | |||||||
\(74\) | −7.72504 | − | 11.0706i | −0.898017 | − | 1.28693i | ||||
\(75\) | 0.906640 | − | 4.91711i | 0.104690 | − | 0.567779i | ||||
\(76\) | −9.70971 | − | 3.56967i | −1.11378 | − | 0.409469i | ||||
\(77\) | 2.09605 | − | 4.11372i | 0.238867 | − | 0.468802i | ||||
\(78\) | −2.01553 | + | 0.979005i | −0.228214 | + | 0.110851i | ||||
\(79\) | −3.75981 | + | 2.73166i | −0.423012 | + | 0.307336i | −0.778848 | − | 0.627212i | \(-0.784196\pi\) |
0.355837 | + | 0.934548i | \(0.384196\pi\) | |||||||
\(80\) | 8.67501 | + | 2.17810i | 0.969896 | + | 0.243519i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 10.1165 | + | 1.80070i | 1.11718 | + | 0.198854i | ||||
\(83\) | −1.32439 | − | 8.36187i | −0.145371 | − | 0.917835i | −0.947284 | − | 0.320395i | \(-0.896185\pi\) |
0.801913 | − | 0.597440i | \(-0.203815\pi\) | |||||||
\(84\) | 2.21261 | − | 2.81320i | 0.241416 | − | 0.306946i | ||||
\(85\) | 8.27808 | − | 11.0964i | 0.897884 | − | 1.20357i | ||||
\(86\) | 2.36735 | − | 3.13103i | 0.255278 | − | 0.337628i | ||||
\(87\) | 1.62912 | + | 3.19732i | 0.174660 | + | 0.342789i | ||||
\(88\) | 4.85643 | + | 5.44654i | 0.517697 | + | 0.580603i | ||||
\(89\) | −2.83952 | + | 0.922614i | −0.300988 | + | 0.0977969i | −0.455618 | − | 0.890176i | \(-0.650582\pi\) |
0.154630 | + | 0.987973i | \(0.450582\pi\) | |||||||
\(90\) | 2.61596 | − | 1.77672i | 0.275747 | − | 0.187283i | ||||
\(91\) | 2.69661 | + | 0.876183i | 0.282682 | + | 0.0918489i | ||||
\(92\) | −2.37209 | + | 11.9960i | −0.247307 | + | 1.25067i | ||||
\(93\) | 4.17109 | − | 4.17109i | 0.432521 | − | 0.432521i | ||||
\(94\) | −0.0532888 | − | 0.00101640i | −0.00549632 | − | 0.000104834i | ||||
\(95\) | 1.66494 | + | 11.4457i | 0.170819 | + | 1.17430i | ||||
\(96\) | 2.87418 | + | 4.87228i | 0.293345 | + | 0.497275i | ||||
\(97\) | −12.1121 | − | 1.91837i | −1.22980 | − | 0.194781i | −0.492479 | − | 0.870324i | \(-0.663909\pi\) |
−0.737320 | + | 0.675543i | \(0.763909\pi\) | |||||||
\(98\) | 5.31949 | − | 0.738832i | 0.537350 | − | 0.0746333i | ||||
\(99\) | 2.57996 | 0.259296 | ||||||||
\(100\) | −2.48140 | − | 9.68724i | −0.248140 | − | 0.968724i | ||||
\(101\) | −18.4944 | −1.84026 | −0.920129 | − | 0.391616i | \(-0.871916\pi\) | ||||
−0.920129 | + | 0.391616i | \(0.871916\pi\) | |||||||
\(102\) | 8.67246 | − | 1.20453i | 0.858702 | − | 0.119266i | ||||
\(103\) | −19.8981 | − | 3.15155i | −1.96062 | − | 0.310532i | −0.999396 | − | 0.0347649i | \(-0.988932\pi\) |
−0.961225 | − | 0.275767i | \(-0.911068\pi\) | |||||||
\(104\) | −2.83712 | + | 3.46900i | −0.278203 | + | 0.340163i | ||||
\(105\) | −3.94404 | − | 0.675836i | −0.384899 | − | 0.0659549i | ||||
\(106\) | 10.2700 | + | 0.195883i | 0.997506 | + | 0.0190258i | ||||
\(107\) | −9.72003 | + | 9.72003i | −0.939671 | + | 0.939671i | −0.998281 | − | 0.0586099i | \(-0.981333\pi\) |
0.0586099 | + | 0.998281i | \(0.481333\pi\) | |||||||
\(108\) | 1.96201 | + | 0.387968i | 0.188794 | + | 0.0373323i | ||||
\(109\) | 9.37929 | + | 3.04752i | 0.898373 | + | 0.291899i | 0.721565 | − | 0.692346i | \(-0.243423\pi\) |
0.176808 | + | 0.984245i | \(0.443423\pi\) | |||||||
\(110\) | 2.76579 | − | 7.67545i | 0.263708 | − | 0.731825i | ||||
\(111\) | −9.07833 | + | 2.94973i | −0.861677 | + | 0.279976i | ||||
\(112\) | 1.65533 | − | 6.96412i | 0.156414 | − | 0.658047i | ||||
\(113\) | −2.97994 | − | 5.84847i | −0.280330 | − | 0.550178i | 0.707313 | − | 0.706900i | \(-0.249907\pi\) |
−0.987643 | + | 0.156723i | \(0.949907\pi\) | |||||||
\(114\) | −4.41177 | + | 5.83496i | −0.413201 | + | 0.546494i | ||||
\(115\) | 13.0548 | − | 4.06023i | 1.21737 | − | 0.378618i | ||||
\(116\) | 5.64113 | + | 4.43680i | 0.523766 | + | 0.411947i | ||||
\(117\) | 0.247859 | + | 1.56492i | 0.0229145 | + | 0.144677i | ||||
\(118\) | −13.1313 | − | 2.33732i | −1.20884 | − | 0.215168i | ||||
\(119\) | −8.96344 | − | 6.51232i | −0.821677 | − | 0.596983i | ||||
\(120\) | 3.25754 | − | 5.42111i | 0.297372 | − | 0.494877i | ||||
\(121\) | −3.51420 | + | 2.55321i | −0.319473 | + | 0.232110i | ||||
\(122\) | −3.75194 | + | 1.82243i | −0.339684 | + | 0.164995i | ||||
\(123\) | 3.29865 | − | 6.47397i | 0.297429 | − | 0.583738i | ||||
\(124\) | 4.07087 | − | 11.0730i | 0.365575 | − | 0.994386i | ||||
\(125\) | −8.19946 | + | 7.60058i | −0.733382 | + | 0.679817i | ||||
\(126\) | −1.44824 | − | 2.07545i | −0.129020 | − | 0.184895i | ||||
\(127\) | −15.0362 | − | 7.66131i | −1.33424 | − | 0.679831i | −0.366182 | − | 0.930543i | \(-0.619335\pi\) |
−0.968062 | + | 0.250712i | \(0.919335\pi\) | |||||||
\(128\) | 9.30724 | + | 6.43236i | 0.822652 | + | 0.568545i | ||||
\(129\) | −1.63145 | − | 2.24550i | −0.143641 | − | 0.197705i | ||||
\(130\) | 4.92138 | + | 0.940250i | 0.431633 | + | 0.0824653i | ||||
\(131\) | −2.64378 | + | 3.63885i | −0.230988 | + | 0.317928i | −0.908740 | − | 0.417363i | \(-0.862954\pi\) |
0.677752 | + | 0.735291i | \(0.262954\pi\) | |||||||
\(132\) | 4.68351 | − | 2.16554i | 0.407648 | − | 0.188486i | ||||
\(133\) | 9.14250 | − | 1.44803i | 0.792756 | − | 0.125560i | ||||
\(134\) | 2.80119 | + | 9.21557i | 0.241986 | + | 0.796104i | ||||
\(135\) | −0.664073 | − | 2.13518i | −0.0571543 | − | 0.183767i | ||||
\(136\) | 14.7324 | − | 9.46601i | 1.26330 | − | 0.811704i | ||||
\(137\) | 15.3805 | − | 7.83674i | 1.31404 | − | 0.669538i | 0.350367 | − | 0.936613i | \(-0.386057\pi\) |
0.963676 | + | 0.267074i | \(0.0860569\pi\) | |||||||
\(138\) | 7.62800 | + | 4.07172i | 0.649338 | + | 0.346608i | ||||
\(139\) | 4.36271 | + | 13.4270i | 0.370040 | + | 1.13887i | 0.946764 | + | 0.321928i | \(0.104331\pi\) |
−0.576724 | + | 0.816939i | \(0.695669\pi\) | |||||||
\(140\) | −7.72705 | + | 2.08363i | −0.653055 | + | 0.176098i | ||||
\(141\) | −0.0116462 | + | 0.0358432i | −0.000980783 | + | 0.00301854i | ||||
\(142\) | 3.08791 | − | 2.97232i | 0.259131 | − | 0.249431i | ||||
\(143\) | 2.89048 | + | 2.89048i | 0.241714 | + | 0.241714i | ||||
\(144\) | 3.88736 | − | 0.942552i | 0.323947 | − | 0.0785460i | ||||
\(145\) | 1.35521 | − | 7.90872i | 0.112544 | − | 0.656783i | ||||
\(146\) | 3.47060 | − | 10.0266i | 0.287229 | − | 0.829811i | ||||
\(147\) | 0.594069 | − | 3.75080i | 0.0489980 | − | 0.309361i | ||||
\(148\) | −14.0044 | + | 12.9748i | −1.15115 | + | 1.06652i | ||||
\(149\) | − | 17.2353i | − | 1.41197i | −0.708227 | − | 0.705985i | \(-0.750505\pi\) | ||
0.708227 | − | 0.705985i | \(-0.249495\pi\) | |||||||
\(150\) | −7.06412 | − | 0.313344i | −0.576783 | − | 0.0255844i | ||||
\(151\) | 9.16179i | 0.745576i | 0.927917 | + | 0.372788i | \(0.121598\pi\) | ||||
−0.927917 | + | 0.372788i | \(0.878402\pi\) | |||||||
\(152\) | −3.11120 | + | 14.2955i | −0.252352 | + | 1.15952i | ||||
\(153\) | 0.968521 | − | 6.11500i | 0.0783002 | − | 0.494368i | ||||
\(154\) | −6.17017 | − | 2.13573i | −0.497206 | − | 0.172102i | ||||
\(155\) | −13.0528 | + | 1.89871i | −1.04842 | + | 0.152508i | ||||
\(156\) | 1.76349 | + | 2.63281i | 0.141192 | + | 0.210794i | ||||
\(157\) | −3.35617 | − | 3.35617i | −0.267851 | − | 0.267851i | 0.560383 | − | 0.828234i | \(-0.310654\pi\) |
−0.828234 | + | 0.560383i | \(0.810654\pi\) | |||||||
\(158\) | 4.55791 | + | 4.73516i | 0.362608 | + | 0.376709i | ||||
\(159\) | 2.24447 | − | 6.90778i | 0.177998 | − | 0.547823i | ||||
\(160\) | 1.36325 | − | 12.5754i | 0.107774 | − | 0.994175i | ||||
\(161\) | −3.38110 | − | 10.4060i | −0.266468 | − | 0.820104i | ||||
\(162\) | 0.665952 | − | 1.24760i | 0.0523222 | − | 0.0980208i | ||||
\(163\) | 4.84163 | − | 2.46694i | 0.379226 | − | 0.193225i | −0.253978 | − | 0.967210i | \(-0.581739\pi\) |
0.633204 | + | 0.773985i | \(0.281739\pi\) | |||||||
\(164\) | 0.554140 | − | 14.5212i | 0.0432711 | − | 1.13392i | ||||
\(165\) | −4.62400 | − | 3.44959i | −0.359978 | − | 0.268550i | ||||
\(166\) | −11.4554 | + | 3.48200i | −0.889109 | + | 0.270256i | ||||
\(167\) | −16.3746 | + | 2.59348i | −1.26710 | + | 0.200690i | −0.753563 | − | 0.657375i | \(-0.771667\pi\) |
−0.513541 | + | 0.858065i | \(0.671667\pi\) | |||||||
\(168\) | −4.37112 | − | 2.55203i | −0.337239 | − | 0.196894i | ||||
\(169\) | 6.16563 | − | 8.48626i | 0.474279 | − | 0.652789i | ||||
\(170\) | −17.1540 | − | 9.43681i | −1.31565 | − | 0.723771i | ||||
\(171\) | 3.04035 | + | 4.18468i | 0.232501 | + | 0.320010i | ||||
\(172\) | −4.84643 | − | 2.70696i | −0.369537 | − | 0.206403i | ||||
\(173\) | 17.8380 | + | 9.08892i | 1.35620 | + | 0.691018i | 0.972601 | − | 0.232483i | \(-0.0746849\pi\) |
0.383598 | + | 0.923500i | \(0.374685\pi\) | |||||||
\(174\) | 4.16175 | − | 2.90407i | 0.315501 | − | 0.220157i | ||||
\(175\) | 6.16517 | + | 6.48473i | 0.466043 | + | 0.490200i | ||||
\(176\) | 6.68449 | − | 7.86238i | 0.503863 | − | 0.592649i | ||||
\(177\) | −4.28167 | + | 8.40325i | −0.321830 | + | 0.631627i | ||||
\(178\) | 1.84481 | + | 3.79800i | 0.138274 | + | 0.284672i | ||||
\(179\) | 16.1069 | − | 11.7023i | 1.20389 | − | 0.874674i | 0.209224 | − | 0.977868i | \(-0.432906\pi\) |
0.994661 | + | 0.103194i | \(0.0329062\pi\) | |||||||
\(180\) | −2.99772 | − | 3.31868i | −0.223437 | − | 0.247360i | ||||
\(181\) | −8.23772 | − | 5.98505i | −0.612305 | − | 0.444866i | 0.237920 | − | 0.971285i | \(-0.423534\pi\) |
−0.850225 | + | 0.526419i | \(0.823534\pi\) | |||||||
\(182\) | 0.702690 | − | 3.94779i | 0.0520868 | − | 0.292630i | ||||
\(183\) | 0.461393 | + | 2.91312i | 0.0341071 | + | 0.215344i | ||||
\(184\) | 17.2651 | + | 0.988871i | 1.27280 | + | 0.0729006i | ||||
\(185\) | 20.2148 | + | 6.85161i | 1.48622 | + | 0.503741i | ||||
\(186\) | −6.65422 | − | 5.03122i | −0.487911 | − | 0.368907i | ||||
\(187\) | −7.25165 | − | 14.2322i | −0.530293 | − | 1.04076i | ||||
\(188\) | 0.00894385 | + | 0.0748430i | 0.000652297 | + | 0.00545849i | ||||
\(189\) | −1.70195 | + | 0.552997i | −0.123799 | + | 0.0402246i | ||||
\(190\) | 15.7088 | − | 4.55901i | 1.13964 | − | 0.330745i | ||||
\(191\) | −12.1738 | − | 3.95551i | −0.880866 | − | 0.286211i | −0.166549 | − | 0.986033i | \(-0.553262\pi\) |
−0.714317 | + | 0.699823i | \(0.753262\pi\) | |||||||
\(192\) | 6.26574 | − | 4.97398i | 0.452191 | − | 0.358966i | ||||
\(193\) | 3.19755 | − | 3.19755i | 0.230165 | − | 0.230165i | −0.582597 | − | 0.812761i | \(-0.697963\pi\) |
0.812761 | + | 0.582597i | \(0.197963\pi\) | |||||||
\(194\) | −0.330723 | + | 17.3395i | −0.0237445 | + | 1.24490i | ||||
\(195\) | 1.64817 | − | 3.13617i | 0.118028 | − | 0.224586i | ||||
\(196\) | −2.06986 | − | 7.30763i | −0.147847 | − | 0.521973i | ||||
\(197\) | −11.4480 | − | 1.81319i | −0.815639 | − | 0.129184i | −0.265343 | − | 0.964154i | \(-0.585485\pi\) |
−0.550296 | + | 0.834970i | \(0.685485\pi\) | |||||||
\(198\) | −0.501944 | − | 3.61393i | −0.0356716 | − | 0.256831i | ||||
\(199\) | 8.34981 | 0.591902 | 0.295951 | − | 0.955203i | \(-0.404363\pi\) | ||||
0.295951 | + | 0.955203i | \(0.404363\pi\) | |||||||
\(200\) | −13.0868 | + | 5.36057i | −0.925376 | + | 0.379049i | ||||
\(201\) | 6.81078 | 0.480395 | ||||||||
\(202\) | 3.59816 | + | 25.9063i | 0.253166 | + | 1.82276i | ||||
\(203\) | −6.34258 | − | 1.00457i | −0.445162 | − | 0.0705067i | ||||
\(204\) | −3.37453 | − | 11.9138i | −0.236265 | − | 0.834129i | ||||
\(205\) | −14.5682 | + | 7.19261i | −1.01749 | + | 0.502354i | ||||
\(206\) | −0.543321 | + | 28.4858i | −0.0378550 | + | 1.98470i | ||||
\(207\) | 4.32335 | − | 4.32335i | 0.300493 | − | 0.300493i | ||||
\(208\) | 5.41123 | + | 3.29924i | 0.375201 | + | 0.228761i | ||||
\(209\) | 12.6918 | + | 4.12383i | 0.877912 | + | 0.285251i | ||||
\(210\) | −0.179358 | + | 5.65617i | −0.0123769 | + | 0.390313i | ||||
\(211\) | 14.6855 | − | 4.77161i | 1.01099 | − | 0.328491i | 0.243743 | − | 0.969840i | \(-0.421625\pi\) |
0.767250 | + | 0.641348i | \(0.221625\pi\) | |||||||
\(212\) | −1.72368 | − | 14.4239i | −0.118383 | − | 0.990639i | ||||
\(213\) | −1.37589 | − | 2.70034i | −0.0942745 | − | 0.185024i | ||||
\(214\) | 15.5066 | + | 11.7244i | 1.06001 | + | 0.801465i | ||||
\(215\) | −0.0783752 | + | 6.20590i | −0.00534515 | + | 0.423239i | ||||
\(216\) | 0.161735 | − | 2.82380i | 0.0110047 | − | 0.192135i | ||||
\(217\) | 1.65134 | + | 10.4262i | 0.112100 | + | 0.707775i | ||||
\(218\) | 2.44408 | − | 13.7311i | 0.165534 | − | 0.929988i | ||||
\(219\) | −6.06975 | − | 4.40993i | −0.410155 | − | 0.297995i | ||||
\(220\) | −11.2896 | − | 2.38094i | −0.761146 | − | 0.160523i | ||||
\(221\) | 7.93607 | − | 5.76589i | 0.533838 | − | 0.387856i | ||||
\(222\) | 5.89811 | + | 12.1427i | 0.395855 | + | 0.814967i | ||||
\(223\) | −3.75855 | + | 7.37657i | −0.251691 | + | 0.493972i | −0.981936 | − | 0.189214i | \(-0.939406\pi\) |
0.730245 | + | 0.683186i | \(0.239406\pi\) | |||||||
\(224\) | −10.0772 | − | 0.963835i | −0.673309 | − | 0.0643990i | ||||
\(225\) | −1.66468 | + | 4.71475i | −0.110979 | + | 0.314316i | ||||
\(226\) | −7.61258 | + | 5.31205i | −0.506381 | + | 0.353353i | ||||
\(227\) | 24.4631 | + | 12.4646i | 1.62367 | + | 0.827303i | 0.998919 | + | 0.0464825i | \(0.0148012\pi\) |
0.624755 | + | 0.780821i | \(0.285199\pi\) | |||||||
\(228\) | 9.03175 | + | 5.04465i | 0.598142 | + | 0.334090i | ||||
\(229\) | 10.4537 | + | 14.3883i | 0.690803 | + | 0.950808i | 1.00000 | 0.000189558i | \(-6.03382e-5\pi\) | |
−0.309197 | + | 0.950998i | \(0.600060\pi\) | |||||||
\(230\) | −8.22731 | − | 17.4968i | −0.542492 | − | 1.15370i | ||||
\(231\) | −2.71377 | + | 3.73518i | −0.178553 | + | 0.245757i | ||||
\(232\) | 5.11742 | − | 8.76511i | 0.335975 | − | 0.575457i | ||||
\(233\) | −5.32769 | + | 0.843823i | −0.349029 | + | 0.0552807i | −0.328488 | − | 0.944508i | \(-0.606539\pi\) |
−0.0205411 | + | 0.999789i | \(0.506539\pi\) | |||||||
\(234\) | 2.14386 | − | 0.651654i | 0.140149 | − | 0.0426000i | ||||
\(235\) | 0.0687979 | − | 0.0486692i | 0.00448788 | − | 0.00317483i | ||||
\(236\) | −0.719278 | + | 18.8487i | −0.0468210 | + | 1.22694i | ||||
\(237\) | 4.14085 | − | 2.10987i | 0.268977 | − | 0.137051i | ||||
\(238\) | −7.37837 | + | 13.8227i | −0.478268 | + | 0.895992i | ||||
\(239\) | 3.11661 | + | 9.59193i | 0.201596 | + | 0.620450i | 0.999836 | + | 0.0181100i | \(0.00576491\pi\) |
−0.798240 | + | 0.602340i | \(0.794235\pi\) | |||||||
\(240\) | −8.22748 | − | 3.50836i | −0.531082 | − | 0.226463i | ||||
\(241\) | −1.59822 | + | 4.91881i | −0.102950 | + | 0.316848i | −0.989244 | − | 0.146275i | \(-0.953271\pi\) |
0.886294 | + | 0.463124i | \(0.153271\pi\) | |||||||
\(242\) | 4.26016 | + | 4.42583i | 0.273854 | + | 0.284503i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 3.28276 | + | 4.90103i | 0.210157 | + | 0.313756i | ||||
\(245\) | −6.07981 | + | 5.92816i | −0.388425 | + | 0.378736i | ||||
\(246\) | −9.71028 | − | 3.36110i | −0.619105 | − | 0.214296i | ||||
\(247\) | −1.28206 | + | 8.09461i | −0.0815756 | + | 0.515048i | ||||
\(248\) | −16.3027 | − | 3.54804i | −1.03522 | − | 0.225300i | ||||
\(249\) | 8.46610i | 0.536518i | ||||||||
\(250\) | 12.2419 | + | 10.0068i | 0.774245 | + | 0.632886i | ||||
\(251\) | − | 13.6267i | − | 0.860111i | −0.902803 | − | 0.430055i | \(-0.858494\pi\) | ||
0.902803 | − | 0.430055i | \(-0.141506\pi\) | |||||||
\(252\) | −2.62545 | + | 2.43244i | −0.165388 | + | 0.153229i | ||||
\(253\) | 2.46764 | − | 15.5800i | 0.155139 | − | 0.979508i | ||||
\(254\) | −7.80635 | + | 22.5527i | −0.489814 | + | 1.41508i | ||||
\(255\) | −9.91202 | + | 9.66478i | −0.620715 | + | 0.605232i | ||||
\(256\) | 7.19947 | − | 14.2887i | 0.449967 | − | 0.893045i | ||||
\(257\) | 10.7300 | + | 10.7300i | 0.669319 | + | 0.669319i | 0.957558 | − | 0.288239i | \(-0.0930698\pi\) |
−0.288239 | + | 0.957558i | \(0.593070\pi\) | |||||||
\(258\) | −2.82801 | + | 2.72215i | −0.176064 | + | 0.169474i | ||||
\(259\) | 5.27865 | − | 16.2460i | 0.327999 | − | 1.00948i | ||||
\(260\) | 0.359594 | − | 7.07663i | 0.0223011 | − | 0.438874i | ||||
\(261\) | −1.10889 | − | 3.41281i | −0.0686384 | − | 0.211247i | ||||
\(262\) | 5.61154 | + | 2.99536i | 0.346682 | + | 0.185054i | ||||
\(263\) | −16.1259 | + | 8.21657i | −0.994367 | + | 0.506655i | −0.873923 | − | 0.486065i | \(-0.838432\pi\) |
−0.120444 | + | 0.992720i | \(0.538432\pi\) | |||||||
\(264\) | −3.94461 | − | 6.13920i | −0.242774 | − | 0.377841i | ||||
\(265\) | −13.2589 | + | 9.37963i | −0.814487 | + | 0.576186i | ||||
\(266\) | −3.80707 | − | 12.5248i | −0.233426 | − | 0.767945i | ||||
\(267\) | 2.94888 | − | 0.467057i | 0.180469 | − | 0.0285835i | ||||
\(268\) | 12.3639 | − | 5.71674i | 0.755244 | − | 0.349206i | ||||
\(269\) | −9.43653 | + | 12.9883i | −0.575355 | + | 0.791908i | −0.993177 | − | 0.116621i | \(-0.962794\pi\) |
0.417821 | + | 0.908529i | \(0.362794\pi\) | |||||||
\(270\) | −2.86170 | + | 1.34562i | −0.174157 | + | 0.0818919i | ||||
\(271\) | 1.76045 | + | 2.42305i | 0.106940 | + | 0.147190i | 0.859132 | − | 0.511753i | \(-0.171004\pi\) |
−0.752193 | + | 0.658943i | \(0.771004\pi\) | |||||||
\(272\) | −16.1259 | − | 18.7950i | −0.977779 | − | 1.13962i | ||||
\(273\) | −2.52635 | − | 1.28724i | −0.152902 | − | 0.0779072i | ||||
\(274\) | −13.9698 | − | 20.0198i | −0.843946 | − | 1.20944i | ||||
\(275\) | 3.67516 | + | 12.3652i | 0.221621 | + | 0.745650i | ||||
\(276\) | 4.21947 | − | 11.4772i | 0.253982 | − | 0.690847i | ||||
\(277\) | −7.87265 | + | 15.4509i | −0.473022 | + | 0.928357i | 0.524036 | + | 0.851696i | \(0.324426\pi\) |
−0.997057 | + | 0.0766608i | \(0.975574\pi\) | |||||||
\(278\) | 17.9594 | − | 8.72344i | 1.07713 | − | 0.523197i | ||||
\(279\) | −4.77223 | + | 3.46723i | −0.285706 | + | 0.207578i | ||||
\(280\) | 4.42201 | + | 10.4184i | 0.264266 | + | 0.622620i | ||||
\(281\) | −8.05625 | − | 5.85321i | −0.480595 | − | 0.349173i | 0.320961 | − | 0.947092i | \(-0.395994\pi\) |
−0.801556 | + | 0.597920i | \(0.795994\pi\) | |||||||
\(282\) | 0.0524738 | + | 0.00934010i | 0.00312477 | + | 0.000556195i | ||||
\(283\) | −1.77033 | − | 11.1775i | −0.105235 | − | 0.664431i | −0.982758 | − | 0.184896i | \(-0.940805\pi\) |
0.877523 | − | 0.479535i | \(-0.159195\pi\) | |||||||
\(284\) | −4.76429 | − | 3.74716i | −0.282709 | − | 0.222353i | ||||
\(285\) | 0.146059 | − | 11.5652i | 0.00865180 | − | 0.685066i | ||||
\(286\) | 3.48653 | − | 4.61125i | 0.206163 | − | 0.272669i | ||||
\(287\) | 5.90306 | + | 11.5854i | 0.348446 | + | 0.683865i | ||||
\(288\) | −2.07660 | − | 5.26191i | −0.122365 | − | 0.310061i | ||||
\(289\) | −20.2872 | + | 6.59171i | −1.19337 | + | 0.387748i | ||||
\(290\) | −11.3419 | − | 0.359655i | −0.666021 | − | 0.0211197i | ||||
\(291\) | 11.6629 | + | 3.78951i | 0.683691 | + | 0.222145i | ||||
\(292\) | −14.7202 | − | 2.91078i | −0.861435 | − | 0.170340i | ||||
\(293\) | −19.4066 | + | 19.4066i | −1.13375 | + | 1.13375i | −0.144199 | + | 0.989549i | \(0.546060\pi\) |
−0.989549 | + | 0.144199i | \(0.953940\pi\) | |||||||
\(294\) | −5.36958 | − | 0.102416i | −0.313160 | − | 0.00597303i | ||||
\(295\) | 18.9097 | − | 9.33606i | 1.10096 | − | 0.543566i | ||||
\(296\) | 20.8993 | + | 17.0925i | 1.21475 | + | 0.993483i | ||||
\(297\) | −2.54820 | − | 0.403595i | −0.147862 | − | 0.0234190i | ||||
\(298\) | −24.1426 | + | 3.35320i | −1.39854 | + | 0.194246i | ||||
\(299\) | 9.68738 | 0.560236 | ||||||||
\(300\) | 0.935435 | + | 9.95615i | 0.0540074 | + | 0.574819i | ||||
\(301\) | 4.96701 | 0.286294 | ||||||||
\(302\) | 12.8335 | − | 1.78247i | 0.738487 | − | 0.102570i | ||||
\(303\) | 18.2667 | + | 2.89315i | 1.04939 | + | 0.166207i | ||||
\(304\) | 20.6300 | + | 1.57681i | 1.18321 | + | 0.0904361i | ||||
\(305\) | 3.06809 | − | 5.83803i | 0.175679 | − | 0.334284i | ||||
\(306\) | −8.75412 | − | 0.166971i | −0.500440 | − | 0.00954509i | ||||
\(307\) | 3.83564 | − | 3.83564i | 0.218912 | − | 0.218912i | −0.589128 | − | 0.808040i | \(-0.700529\pi\) |
0.808040 | + | 0.589128i | \(0.200529\pi\) | |||||||
\(308\) | −1.79123 | + | 9.05848i | −0.102065 | + | 0.516155i | ||||
\(309\) | 19.1601 | + | 6.22550i | 1.08998 | + | 0.354157i | ||||
\(310\) | 5.19913 | + | 17.9145i | 0.295290 | + | 1.01747i | ||||
\(311\) | −7.89005 | + | 2.56363i | −0.447404 | + | 0.145370i | −0.524049 | − | 0.851688i | \(-0.675579\pi\) |
0.0766452 | + | 0.997058i | \(0.475579\pi\) | |||||||
\(312\) | 3.34487 | − | 2.98246i | 0.189366 | − | 0.168849i | ||||
\(313\) | −8.49876 | − | 16.6797i | −0.480378 | − | 0.942795i | −0.996282 | − | 0.0861488i | \(-0.972544\pi\) |
0.515904 | − | 0.856646i | \(-0.327456\pi\) | |||||||
\(314\) | −4.04825 | + | 5.35417i | −0.228456 | + | 0.302153i | ||||
\(315\) | 3.78976 | + | 1.28450i | 0.213529 | + | 0.0723734i | ||||
\(316\) | 5.74609 | − | 7.30582i | 0.323243 | − | 0.410984i | ||||
\(317\) | −0.165705 | − | 1.04622i | −0.00930692 | − | 0.0587616i | 0.982598 | − | 0.185746i | \(-0.0594702\pi\) |
−0.991905 | + | 0.126984i | \(0.959470\pi\) | |||||||
\(318\) | −10.1129 | − | 1.80005i | −0.567101 | − | 0.100942i | ||||
\(319\) | −7.48991 | − | 5.44174i | −0.419354 | − | 0.304679i | ||||
\(320\) | −17.8805 | + | 0.537016i | −0.999549 | + | 0.0300201i | ||||
\(321\) | 11.1209 | − | 8.07981i | 0.620709 | − | 0.450971i | ||||
\(322\) | −13.9185 | + | 6.76066i | −0.775648 | + | 0.376757i | ||||
\(323\) | 14.5388 | − | 28.5339i | 0.808959 | − | 1.58767i | ||||
\(324\) | −1.87716 | − | 0.690118i | −0.104287 | − | 0.0383399i | ||||
\(325\) | −7.14724 | + | 3.41716i | −0.396458 | + | 0.189550i | ||||
\(326\) | −4.39756 | − | 6.30205i | −0.243559 | − | 0.349038i | ||||
\(327\) | −8.78708 | − | 4.47724i | −0.485927 | − | 0.247592i | ||||
\(328\) | −20.4487 | + | 2.04895i | −1.12909 | + | 0.113134i | ||||
\(329\) | −0.0396424 | − | 0.0545630i | −0.00218555 | − | 0.00300816i | ||||
\(330\) | −3.93244 | + | 7.14829i | −0.216474 | + | 0.393500i | ||||
\(331\) | 18.5262 | − | 25.4991i | 1.01829 | − | 1.40156i | 0.104899 | − | 0.994483i | \(-0.466548\pi\) |
0.913394 | − | 0.407077i | \(-0.133452\pi\) | |||||||
\(332\) | 7.10617 | + | 15.3689i | 0.390002 | + | 0.843476i | ||||
\(333\) | 9.42800 | − | 1.49325i | 0.516651 | − | 0.0818295i | ||||
\(334\) | 6.81862 | + | 22.4324i | 0.373098 | + | 1.22745i | ||||
\(335\) | −12.2068 | − | 9.10647i | −0.666928 | − | 0.497539i | ||||
\(336\) | −2.72438 | + | 6.61943i | −0.148627 | + | 0.361119i | ||||
\(337\) | −18.0272 | + | 9.18532i | −0.982004 | + | 0.500356i | −0.869840 | − | 0.493333i | \(-0.835778\pi\) |
−0.112164 | + | 0.993690i | \(0.535778\pi\) | |||||||
\(338\) | −13.0868 | − | 6.98557i | −0.711830 | − | 0.379965i | ||||
\(339\) | 2.02835 | + | 6.24263i | 0.110165 | + | 0.339053i | ||||
\(340\) | −9.88139 | + | 25.8647i | −0.535894 | + | 1.40271i | ||||
\(341\) | −4.70284 | + | 14.4738i | −0.254673 | + | 0.783803i | ||||
\(342\) | 5.27025 | − | 5.07297i | 0.284982 | − | 0.274315i | ||||
\(343\) | 13.6632 | + | 13.6632i | 0.737741 | + | 0.737741i | ||||
\(344\) | −2.84892 | + | 7.31537i | −0.153603 | + | 0.394418i | ||||
\(345\) | −13.5292 | + | 1.96802i | −0.728389 | + | 0.105955i | ||||
\(346\) | 9.26099 | − | 26.7552i | 0.497874 | − | 1.43837i | ||||
\(347\) | 0.0503563 | − | 0.317937i | 0.00270327 | − | 0.0170678i | −0.986300 | − | 0.164963i | \(-0.947250\pi\) |
0.989003 | + | 0.147895i | \(0.0472497\pi\) | |||||||
\(348\) | −4.87761 | − | 5.26464i | −0.261467 | − | 0.282214i | ||||
\(349\) | 1.90739i | 0.102100i | 0.998696 | + | 0.0510501i | \(0.0162568\pi\) | ||||
−0.998696 | + | 0.0510501i | \(0.983743\pi\) | |||||||
\(350\) | 7.88414 | − | 9.89760i | 0.421425 | − | 0.529049i | ||||
\(351\) | − | 1.58442i | − | 0.0845703i | ||||||
\(352\) | −12.3139 | − | 7.83376i | −0.656331 | − | 0.417541i | ||||
\(353\) | 1.39657 | − | 8.81760i | 0.0743319 | − | 0.469313i | −0.922242 | − | 0.386612i | \(-0.873645\pi\) |
0.996574 | − | 0.0827014i | \(-0.0263548\pi\) | |||||||
\(354\) | 12.6040 | + | 4.36273i | 0.669896 | + | 0.231877i | ||||
\(355\) | −1.14456 | + | 6.67941i | −0.0607469 | + | 0.354506i | ||||
\(356\) | 4.96120 | − | 3.32307i | 0.262943 | − | 0.176122i | ||||
\(357\) | 7.83433 | + | 7.83433i | 0.414637 | + | 0.414637i | ||||
\(358\) | −19.5259 | − | 20.2853i | −1.03198 | − | 1.07211i | ||||
\(359\) | 6.39407 | − | 19.6789i | 0.337466 | − | 1.03861i | −0.628028 | − | 0.778191i | \(-0.716138\pi\) |
0.965494 | − | 0.260424i | \(-0.0838623\pi\) | |||||||
\(360\) | −4.06548 | + | 4.84477i | −0.214270 | + | 0.255342i | ||||
\(361\) | 2.39650 | + | 7.37568i | 0.126132 | + | 0.388193i | ||||
\(362\) | −6.78098 | + | 12.7035i | −0.356400 | + | 0.667684i | ||||
\(363\) | 3.87034 | − | 1.97204i | 0.203140 | − | 0.103505i | ||||
\(364\) | −5.66665 | − | 0.216243i | −0.297013 | − | 0.0113342i | ||||
\(365\) | 4.98228 | + | 16.0195i | 0.260785 | + | 0.838497i | ||||
\(366\) | 3.99084 | − | 1.21306i | 0.208604 | − | 0.0634079i | ||||
\(367\) | 15.3559 | − | 2.43213i | 0.801569 | − | 0.126956i | 0.257808 | − | 0.966196i | \(-0.417000\pi\) |
0.543761 | + | 0.839240i | \(0.317000\pi\) | |||||||
\(368\) | −1.97382 | − | 24.3768i | −0.102893 | − | 1.27073i | ||||
\(369\) | −4.27079 | + | 5.87824i | −0.222328 | + | 0.306009i | ||||
\(370\) | 5.66462 | − | 29.6493i | 0.294490 | − | 1.54139i | ||||
\(371\) | 7.63997 | + | 10.5155i | 0.396648 | + | 0.545939i | ||||
\(372\) | −5.75295 | + | 10.2999i | −0.298277 | + | 0.534023i | ||||
\(373\) | −6.75054 | − | 3.43957i | −0.349530 | − | 0.178094i | 0.270407 | − | 0.962746i | \(-0.412842\pi\) |
−0.619937 | + | 0.784652i | \(0.712842\pi\) | |||||||
\(374\) | −18.5251 | + | 12.9268i | −0.957910 | + | 0.668429i | ||||
\(375\) | 9.28750 | − | 6.22433i | 0.479605 | − | 0.321423i | ||||
\(376\) | 0.103098 | − | 0.0270893i | 0.00531685 | − | 0.00139702i | ||||
\(377\) | 2.58121 | − | 5.06591i | 0.132939 | − | 0.260908i | ||||
\(378\) | 1.10574 | + | 2.27645i | 0.0568733 | + | 0.117088i | ||||
\(379\) | −28.3717 | + | 20.6132i | −1.45735 | + | 1.05883i | −0.473312 | + | 0.880895i | \(0.656942\pi\) |
−0.984042 | + | 0.177935i | \(0.943058\pi\) | |||||||
\(380\) | −9.44234 | − | 21.1175i | −0.484382 | − | 1.08330i | ||||
\(381\) | 13.6525 | + | 9.91916i | 0.699441 | + | 0.508174i | ||||
\(382\) | −3.17228 | + | 17.8222i | −0.162308 | + | 0.911864i | ||||
\(383\) | 1.80034 | + | 11.3669i | 0.0919932 | + | 0.580822i | 0.990025 | + | 0.140892i | \(0.0449970\pi\) |
−0.898032 | + | 0.439931i | \(0.855003\pi\) | |||||||
\(384\) | −8.18641 | − | 7.80914i | −0.417761 | − | 0.398508i | ||||
\(385\) | 9.85801 | − | 3.06598i | 0.502411 | − | 0.156257i | ||||
\(386\) | −5.10113 | − | 3.85693i | −0.259640 | − | 0.196313i | ||||
\(387\) | 1.26009 | + | 2.47306i | 0.0640539 | + | 0.125713i | ||||
\(388\) | 24.3529 | − | 2.91021i | 1.23633 | − | 0.147744i | ||||
\(389\) | −9.99966 | + | 3.24909i | −0.507003 | + | 0.164735i | −0.551339 | − | 0.834282i | \(-0.685883\pi\) |
0.0443360 | + | 0.999017i | \(0.485883\pi\) | |||||||
\(390\) | −4.71370 | − | 1.69855i | −0.238687 | − | 0.0860092i | ||||
\(391\) | −36.0013 | − | 11.6975i | −1.82066 | − | 0.591569i | ||||
\(392\) | −9.83358 | + | 4.32113i | −0.496671 | + | 0.218250i | ||||
\(393\) | 3.18047 | − | 3.18047i | 0.160434 | − | 0.160434i | ||||
\(394\) | −0.312590 | + | 16.3888i | −0.0157481 | + | 0.825656i | ||||
\(395\) | −10.2426 | − | 1.75513i | −0.515360 | − | 0.0883101i | ||||
\(396\) | −4.96462 | + | 1.40621i | −0.249481 | + | 0.0706648i | ||||
\(397\) | −6.35706 | − | 1.00686i | −0.319052 | − | 0.0505328i | −0.00514536 | − | 0.999987i | \(-0.501638\pi\) |
−0.313906 | + | 0.949454i | \(0.601638\pi\) | |||||||
\(398\) | −1.62449 | − | 11.6961i | −0.0814285 | − | 0.586274i | ||||
\(399\) | −9.25647 | −0.463403 | ||||||||
\(400\) | 10.0550 | + | 17.2886i | 0.502750 | + | 0.864432i | ||||
\(401\) | 21.4858 | 1.07295 | 0.536476 | − | 0.843916i | \(-0.319755\pi\) | ||||
0.536476 | + | 0.843916i | \(0.319755\pi\) | |||||||
\(402\) | −1.32507 | − | 9.54031i | −0.0660884 | − | 0.475827i | ||||
\(403\) | −9.23115 | − | 1.46207i | −0.459836 | − | 0.0728309i | ||||
\(404\) | 35.5886 | − | 10.0804i | 1.77060 | − | 0.501517i | ||||
\(405\) | 0.321880 | + | 2.21278i | 0.0159944 | + | 0.109954i | ||||
\(406\) | −0.173185 | + | 9.07992i | −0.00859503 | + | 0.450629i | ||||
\(407\) | 17.4140 | − | 17.4140i | 0.863179 | − | 0.863179i | ||||
\(408\) | −16.0319 | + | 7.04481i | −0.793695 | + | 0.348770i | ||||
\(409\) | 25.1912 | + | 8.18512i | 1.24563 | + | 0.404728i | 0.856351 | − | 0.516394i | \(-0.172726\pi\) |
0.389274 | + | 0.921122i | \(0.372726\pi\) | |||||||
\(410\) | 12.9095 | + | 19.0073i | 0.637554 | + | 0.938705i | ||||
\(411\) | −16.4171 | + | 5.33422i | −0.809794 | + | 0.263118i | ||||
\(412\) | 40.0077 | − | 4.78097i | 1.97104 | − | 0.235542i | ||||
\(413\) | −7.66221 | − | 15.0379i | −0.377033 | − | 0.739968i | ||||
\(414\) | −6.89713 | − | 5.21487i | −0.338975 | − | 0.256297i | ||||
\(415\) | 11.3198 | − | 15.1736i | 0.555665 | − | 0.744842i | ||||
\(416\) | 3.56869 | − | 8.22176i | 0.174969 | − | 0.403105i | ||||
\(417\) | −2.20855 | − | 13.9442i | −0.108153 | − | 0.682851i | ||||
\(418\) | 3.30727 | − | 18.5806i | 0.161764 | − | 0.908807i | ||||
\(419\) | 24.4346 | + | 17.7528i | 1.19371 | + | 0.867280i | 0.993651 | − | 0.112504i | \(-0.0358871\pi\) |
0.200058 | + | 0.979784i | \(0.435887\pi\) | |||||||
\(420\) | 7.95787 | − | 0.849195i | 0.388304 | − | 0.0414365i | ||||
\(421\) | 30.7065 | − | 22.3096i | 1.49655 | − | 1.08730i | 0.524814 | − | 0.851217i | \(-0.324135\pi\) |
0.971732 | − | 0.236087i | \(-0.0758650\pi\) | |||||||
\(422\) | −9.54105 | − | 19.6426i | −0.464451 | − | 0.956189i | ||||
\(423\) | 0.0171099 | − | 0.0335800i | 0.000831911 | − | 0.00163272i | ||||
\(424\) | −19.8692 | + | 5.22071i | −0.964934 | + | 0.253540i | ||||
\(425\) | 30.6875 | − | 4.06891i | 1.48856 | − | 0.197371i | ||||
\(426\) | −3.51486 | + | 2.45267i | −0.170296 | + | 0.118832i | ||||
\(427\) | −4.70284 | − | 2.39622i | −0.227586 | − | 0.115961i | ||||
\(428\) | 13.4063 | − | 24.0021i | 0.648019 | − | 1.16019i | ||||
\(429\) | −2.40272 | − | 3.30707i | −0.116005 | − | 0.159667i | ||||
\(430\) | 8.70827 | − | 1.09760i | 0.419950 | − | 0.0529310i | ||||
\(431\) | 2.67391 | − | 3.68032i | 0.128798 | − | 0.177275i | −0.739748 | − | 0.672884i | \(-0.765055\pi\) |
0.868545 | + | 0.495609i | \(0.165055\pi\) | |||||||
\(432\) | −3.98695 | + | 0.322830i | −0.191822 | + | 0.0155321i | ||||
\(433\) | −12.1409 | + | 1.92293i | −0.583456 | + | 0.0924104i | −0.441183 | − | 0.897417i | \(-0.645441\pi\) |
−0.142273 | + | 0.989827i | \(0.545441\pi\) | |||||||
\(434\) | 14.2834 | − | 4.34161i | 0.685623 | − | 0.208404i | ||||
\(435\) | −2.57572 | + | 7.59935i | −0.123496 | + | 0.364361i | ||||
\(436\) | −19.7096 | − | 0.752132i | −0.943919 | − | 0.0360206i | ||||
\(437\) | 28.1787 | − | 14.3577i | 1.34797 | − | 0.686824i | ||||
\(438\) | −4.99639 | + | 9.36027i | −0.238737 | + | 0.447251i | ||||
\(439\) | −4.19717 | − | 12.9175i | −0.200320 | − | 0.616521i | −0.999873 | − | 0.0159259i | \(-0.994930\pi\) |
0.799553 | − | 0.600595i | \(-0.205070\pi\) | |||||||
\(440\) | −1.13869 | + | 16.2773i | −0.0542849 | + | 0.775992i | ||||
\(441\) | −1.17351 | + | 3.61169i | −0.0558814 | + | 0.171985i | ||||
\(442\) | −9.62067 | − | 9.99481i | −0.457609 | − | 0.475405i | ||||
\(443\) | 10.9593 | + | 10.9593i | 0.520692 | + | 0.520692i | 0.917780 | − | 0.397088i | \(-0.129979\pi\) |
−0.397088 | + | 0.917780i | \(0.629979\pi\) | |||||||
\(444\) | 15.8616 | − | 10.6243i | 0.752760 | − | 0.504207i | ||||
\(445\) | −5.90970 | − | 3.10576i | −0.280147 | − | 0.147227i | ||||
\(446\) | 11.0641 | + | 3.82971i | 0.523900 | + | 0.181342i | ||||
\(447\) | −2.69619 | + | 17.0231i | −0.127526 | + | 0.805164i | ||||
\(448\) | 0.610449 | + | 14.3033i | 0.0288410 | + | 0.675766i | ||||
\(449\) | − | 30.6804i | − | 1.44790i | −0.689853 | − | 0.723950i | \(-0.742325\pi\) | ||
0.689853 | − | 0.723950i | \(-0.257675\pi\) | |||||||
\(450\) | 6.92813 | + | 1.41456i | 0.326595 | + | 0.0666829i | ||||
\(451\) | 18.7458i | 0.882703i | ||||||||
\(452\) | 8.92201 | + | 9.62997i | 0.419656 | + | 0.452956i | ||||
\(453\) | 1.43322 | − | 9.04900i | 0.0673386 | − | 0.425159i | ||||
\(454\) | 12.7006 | − | 36.6922i | 0.596067 | − | 1.72205i | ||||
\(455\) | 2.80679 | + | 5.68498i | 0.131584 | + | 0.266516i | ||||
\(456\) | 5.30921 | − | 13.6328i | 0.248627 | − | 0.638416i | ||||
\(457\) | −4.67954 | − | 4.67954i | −0.218900 | − | 0.218900i | 0.589135 | − | 0.808035i | \(-0.299469\pi\) |
−0.808035 | + | 0.589135i | \(0.799469\pi\) | |||||||
\(458\) | 18.1209 | − | 17.4426i | 0.846734 | − | 0.815038i | ||||
\(459\) | −1.91319 | + | 5.88820i | −0.0893002 | + | 0.274838i | ||||
\(460\) | −22.9083 | + | 14.9286i | −1.06810 | + | 0.696051i | ||||
\(461\) | −2.33115 | − | 7.17453i | −0.108572 | − | 0.334151i | 0.881980 | − | 0.471287i | \(-0.156210\pi\) |
−0.990552 | + | 0.137136i | \(0.956210\pi\) | |||||||
\(462\) | 5.76010 | + | 3.07466i | 0.267984 | + | 0.143046i | ||||
\(463\) | −15.1118 | + | 7.69983i | −0.702303 | + | 0.357841i | −0.768398 | − | 0.639972i | \(-0.778946\pi\) |
0.0660950 | + | 0.997813i | \(0.478946\pi\) | |||||||
\(464\) | −13.2735 | − | 5.46302i | −0.616206 | − | 0.253614i | ||||
\(465\) | 13.1891 | + | 0.166567i | 0.611629 | + | 0.00772435i | ||||
\(466\) | 2.21853 | + | 7.29869i | 0.102771 | + | 0.338105i | ||||
\(467\) | 6.42804 | − | 1.01810i | 0.297454 | − | 0.0471121i | −0.00592362 | − | 0.999982i | \(-0.501886\pi\) |
0.303378 | + | 0.952870i | \(0.401886\pi\) | |||||||
\(468\) | −1.32991 | − | 2.87627i | −0.0614753 | − | 0.132956i | ||||
\(469\) | −7.16401 | + | 9.86041i | −0.330803 | + | 0.455311i | ||||
\(470\) | −0.0815591 | − | 0.0869010i | −0.00376204 | − | 0.00400844i | ||||
\(471\) | 2.78983 | + | 3.83987i | 0.128549 | + | 0.176932i | ||||
\(472\) | 26.5425 | − | 2.65955i | 1.22172 | − | 0.122416i | ||||
\(473\) | 6.38042 | + | 3.25098i | 0.293372 | + | 0.149480i | ||||
\(474\) | −3.76105 | − | 5.38988i | −0.172751 | − | 0.247565i | ||||
\(475\) | −15.7253 | + | 20.5328i | −0.721526 | + | 0.942110i | ||||
\(476\) | 20.7979 | + | 7.64610i | 0.953269 | + | 0.350459i | ||||
\(477\) | −3.29746 | + | 6.47162i | −0.150980 | + | 0.296315i | ||||
\(478\) | 12.8297 | − | 6.23179i | 0.586817 | − | 0.285036i | ||||
\(479\) | −5.30790 | + | 3.85642i | −0.242524 | + | 0.176204i | −0.702407 | − | 0.711775i | \(-0.747891\pi\) |
0.459883 | + | 0.887980i | \(0.347891\pi\) | |||||||
\(480\) | −3.31370 | + | 12.2074i | −0.151249 | + | 0.557187i | ||||
\(481\) | 12.2357 | + | 8.88975i | 0.557900 | + | 0.405338i | ||||
\(482\) | 7.20104 | + | 1.28175i | 0.327999 | + | 0.0583823i | ||||
\(483\) | 1.71162 | + | 10.8068i | 0.0778815 | + | 0.491725i | ||||
\(484\) | 5.37073 | − | 6.82856i | 0.244124 | − | 0.310389i | ||||
\(485\) | −15.8363 | − | 22.3859i | −0.719089 | − | 1.01649i | ||||
\(486\) | −0.852921 | + | 1.12806i | −0.0386893 | + | 0.0511700i | ||||
\(487\) | −12.8302 | − | 25.1807i | −0.581391 | − | 1.14104i | −0.975091 | − | 0.221806i | \(-0.928805\pi\) |
0.393700 | − | 0.919239i | \(-0.371195\pi\) | |||||||
\(488\) | 6.22652 | − | 5.55190i | 0.281861 | − | 0.251323i | ||||
\(489\) | −5.16794 | + | 1.67917i | −0.233702 | + | 0.0759345i | ||||
\(490\) | 9.48683 | + | 7.36305i | 0.428571 | + | 0.332629i | ||||
\(491\) | 9.75331 | + | 3.16904i | 0.440161 | + | 0.143017i | 0.520710 | − | 0.853734i | \(-0.325667\pi\) |
−0.0805490 | + | 0.996751i | \(0.525667\pi\) | |||||||
\(492\) | −2.81894 | + | 14.2558i | −0.127088 | + | 0.642700i | ||||
\(493\) | −15.7097 | + | 15.7097i | −0.707527 | + | 0.707527i | ||||
\(494\) | 11.5881 | + | 0.221024i | 0.521373 | + | 0.00994436i | ||||
\(495\) | 4.02744 | + | 4.13047i | 0.181020 | + | 0.185651i | ||||
\(496\) | −1.79820 | + | 23.5266i | −0.0807416 | + | 1.05638i | ||||
\(497\) | 5.35671 | + | 0.848420i | 0.240281 | + | 0.0380568i | ||||
\(498\) | 11.8590 | − | 1.64712i | 0.531416 | − | 0.0738092i | ||||
\(499\) | −12.4397 | −0.556877 | −0.278438 | − | 0.960454i | \(-0.589817\pi\) | ||||
−0.278438 | + | 0.960454i | \(0.589817\pi\) | |||||||
\(500\) | 11.6355 | − | 19.0949i | 0.520355 | − | 0.853950i | ||||
\(501\) | 16.5787 | 0.740682 | ||||||||
\(502\) | −19.0879 | + | 2.65114i | −0.851933 | + | 0.118326i | ||||
\(503\) | −37.7591 | − | 5.98046i | −1.68360 | − | 0.266655i | −0.759972 | − | 0.649956i | \(-0.774787\pi\) |
−0.923624 | + | 0.383300i | \(0.874787\pi\) | |||||||
\(504\) | 3.91808 | + | 3.20441i | 0.174525 | + | 0.142736i | ||||
\(505\) | −28.8705 | − | 29.6091i | −1.28472 | − | 1.31759i | ||||
\(506\) | −22.3041 | − | 0.425415i | −0.991538 | − | 0.0189120i | ||||
\(507\) | −7.41727 | + | 7.41727i | −0.329412 | + | 0.329412i | ||||
\(508\) | 33.1098 | + | 6.54715i | 1.46901 | + | 0.290483i | ||||
\(509\) | 8.26830 | + | 2.68653i | 0.366486 | + | 0.119078i | 0.486470 | − | 0.873697i | \(-0.338284\pi\) |
−0.119984 | + | 0.992776i | \(0.538284\pi\) | |||||||
\(510\) | 15.4665 | + | 12.0041i | 0.684870 | + | 0.531551i | ||||
\(511\) | 12.7691 | − | 4.14893i | 0.564871 | − | 0.183538i | ||||
\(512\) | −21.4159 | − | 7.30484i | −0.946457 | − | 0.322831i | ||||
\(513\) | −2.34829 | − | 4.60877i | −0.103679 | − | 0.203482i | ||||
\(514\) | 12.9427 | − | 17.1178i | 0.570876 | − | 0.755034i | ||||
\(515\) | −26.0163 | − | 36.7762i | −1.14642 | − | 1.62055i | ||||
\(516\) | 4.36330 | + | 3.43178i | 0.192084 | + | 0.151076i | ||||
\(517\) | −0.0152106 | − | 0.0960359i | −0.000668961 | − | 0.00422366i | ||||
\(518\) | −23.7839 | − | 4.23342i | −1.04500 | − | 0.186006i | ||||
\(519\) | −16.1966 | − | 11.7675i | −0.710950 | − | 0.516536i | ||||
\(520\) | −9.98267 | + | 0.873083i | −0.437769 | + | 0.0382872i | ||||
\(521\) | −16.2717 | + | 11.8221i | −0.712877 | + | 0.517935i | −0.884100 | − | 0.467297i | \(-0.845228\pi\) |
0.171224 | + | 0.985232i | \(0.445228\pi\) | |||||||
\(522\) | −4.56481 | + | 2.21727i | −0.199796 | + | 0.0970473i | ||||
\(523\) | 12.0208 | − | 23.5921i | 0.525632 | − | 1.03161i | −0.463708 | − | 0.885988i | \(-0.653481\pi\) |
0.989340 | − | 0.145623i | \(-0.0465186\pi\) | |||||||
\(524\) | 3.10406 | − | 8.44322i | 0.135601 | − | 0.368844i | ||||
\(525\) | −5.07483 | − | 7.36934i | −0.221484 | − | 0.321624i | ||||
\(526\) | 14.6469 | + | 20.9901i | 0.638634 | + | 0.915212i | ||||
\(527\) | 32.5403 | + | 16.5801i | 1.41748 | + | 0.722241i | ||||
\(528\) | −7.83214 | + | 6.71989i | −0.340850 | + | 0.292446i | ||||
\(529\) | −8.45390 | − | 11.6358i | −0.367561 | − | 0.505904i | ||||
\(530\) | 15.7183 | + | 16.7478i | 0.682758 | + | 0.727476i | ||||
\(531\) | 5.54352 | − | 7.62999i | 0.240568 | − | 0.331114i | ||||
\(532\) | −16.8036 | + | 7.76957i | −0.728530 | + | 0.336854i | ||||
\(533\) | −11.3705 | + | 1.80092i | −0.492513 | + | 0.0780063i | ||||
\(534\) | −1.22796 | − | 4.03983i | −0.0531389 | − | 0.174821i | ||||
\(535\) | −30.7350 | − | 0.388157i | −1.32879 | − | 0.0167815i | ||||
\(536\) | −10.4133 | − | 16.2067i | −0.449785 | − | 0.700023i | ||||
\(537\) | −17.7392 | + | 9.03859i | −0.765505 | + | 0.390044i | ||||
\(538\) | 20.0295 | + | 10.6914i | 0.863531 | + | 0.460941i | ||||
\(539\) | 3.02761 | + | 9.31803i | 0.130408 | + | 0.401356i | ||||
\(540\) | 2.44166 | + | 3.74677i | 0.105072 | + | 0.161235i | ||||
\(541\) | 5.50745 | − | 16.9502i | 0.236784 | − | 0.728746i | −0.760096 | − | 0.649811i | \(-0.774848\pi\) |
0.996880 | − | 0.0789350i | \(-0.0251520\pi\) | |||||||
\(542\) | 3.05162 | − | 2.93739i | 0.131078 | − | 0.126172i | ||||
\(543\) | 7.20003 | + | 7.20003i | 0.308983 | + | 0.308983i | ||||
\(544\) | −23.1901 | + | 26.2453i | −0.994268 | + | 1.12526i | ||||
\(545\) | 9.76249 | + | 19.7734i | 0.418179 | + | 0.846998i | ||||
\(546\) | −1.31161 | + | 3.78926i | −0.0561317 | + | 0.162166i | ||||
\(547\) | −3.96056 | + | 25.0060i | −0.169341 | + | 1.06918i | 0.745837 | + | 0.666129i | \(0.232050\pi\) |
−0.915178 | + | 0.403050i | \(0.867950\pi\) | |||||||
\(548\) | −25.3252 | + | 23.4634i | −1.08184 | + | 1.00231i | ||||
\(549\) | − | 2.94943i | − | 0.125879i | ||||||
\(550\) | 16.6058 | − | 7.55375i | 0.708072 | − | 0.322093i | ||||
\(551\) | − | 18.5614i | − | 0.790740i | ||||||
\(552\) | −16.8978 | − | 3.67755i | −0.719219 | − | 0.156527i | ||||
\(553\) | −1.30101 | + | 8.21427i | −0.0553247 | + | 0.349306i | ||||
\(554\) | 23.1748 | + | 8.02169i | 0.984604 | + | 0.340809i | ||||
\(555\) | −18.8941 | − | 9.92956i | −0.802011 | − | 0.421486i | ||||
\(556\) | −15.7136 | − | 23.4597i | −0.666404 | − | 0.994914i | ||||
\(557\) | 10.1259 | + | 10.1259i | 0.429048 | + | 0.429048i | 0.888304 | − | 0.459256i | \(-0.151884\pi\) |
−0.459256 | + | 0.888304i | \(0.651884\pi\) | |||||||
\(558\) | 5.78524 | + | 6.01022i | 0.244909 | + | 0.254433i | ||||
\(559\) | −1.35897 | + | 4.18247i | −0.0574781 | + | 0.176899i | ||||
\(560\) | 13.7335 | − | 8.22116i | 0.580345 | − | 0.347407i | ||||
\(561\) | 4.93597 | + | 15.1913i | 0.208397 | + | 0.641379i | ||||
\(562\) | −6.63160 | + | 12.4237i | −0.279737 | + | 0.524062i | ||||
\(563\) | −38.7259 | + | 19.7318i | −1.63210 | + | 0.831597i | −0.633789 | + | 0.773506i | \(0.718501\pi\) |
−0.998311 | + | 0.0580911i | \(0.981499\pi\) | |||||||
\(564\) | 0.00287429 | − | 0.0753207i | 0.000121029 | − | 0.00317157i | ||||
\(565\) | 4.71145 | − | 13.9006i | 0.198212 | − | 0.584801i | ||||
\(566\) | −15.3126 | + | 4.65445i | −0.643636 | + | 0.195641i | ||||
\(567\) | 1.76751 | − | 0.279945i | 0.0742282 | − | 0.0117566i | ||||
\(568\) | −4.32198 | + | 7.40269i | −0.181346 | + | 0.310610i | ||||
\(569\) | 19.2119 | − | 26.4429i | 0.805405 | − | 1.10855i | −0.186611 | − | 0.982434i | \(-0.559750\pi\) |
0.992016 | − | 0.126111i | \(-0.0402497\pi\) | |||||||
\(570\) | −16.2286 | + | 2.04548i | −0.679743 | + | 0.0856756i | ||||
\(571\) | −22.6330 | − | 31.1516i | −0.947160 | − | 1.30365i | −0.952777 | − | 0.303670i | \(-0.901788\pi\) |
0.00561699 | − | 0.999984i | \(-0.498212\pi\) | |||||||
\(572\) | −7.13761 | − | 3.98668i | −0.298438 | − | 0.166692i | ||||
\(573\) | 11.4051 | + | 5.81121i | 0.476457 | + | 0.242767i | ||||
\(574\) | 15.0800 | − | 10.5228i | 0.629426 | − | 0.439213i | ||||
\(575\) | 26.8795 | + | 14.5623i | 1.12095 | + | 0.607288i | ||||
\(576\) | −6.96670 | + | 3.93256i | −0.290279 | + | 0.163857i | ||||
\(577\) | 0.778351 | − | 1.52760i | 0.0324032 | − | 0.0635948i | −0.874237 | − | 0.485499i | \(-0.838638\pi\) |
0.906641 | + | 0.421904i | \(0.138638\pi\) | |||||||
\(578\) | 13.1804 | + | 27.1352i | 0.548233 | + | 1.12868i | ||||
\(579\) | −3.65839 | + | 2.65798i | −0.152038 | + | 0.110462i | ||||
\(580\) | 1.70283 | + | 15.9574i | 0.0707063 | + | 0.662594i | ||||
\(581\) | −12.2569 | − | 8.90519i | −0.508503 | − | 0.369449i | ||||
\(582\) | 3.03914 | − | 17.0743i | 0.125977 | − | 0.707751i | ||||
\(583\) | 2.93142 | + | 18.5083i | 0.121407 | + | 0.766534i | ||||
\(584\) | −1.21344 | + | 21.1859i | −0.0502124 | + | 0.876678i | ||||
\(585\) | −2.11848 | + | 2.83973i | −0.0875885 | + | 0.117408i | ||||
\(586\) | 30.9598 | + | 23.4085i | 1.27894 | + | 0.966997i | ||||
\(587\) | 10.0460 | + | 19.7163i | 0.414642 | + | 0.813780i | 0.999995 | + | 0.00300205i | \(0.000955585\pi\) |
−0.585354 | + | 0.810778i | \(0.699044\pi\) | |||||||
\(588\) | 0.901215 | + | 7.54146i | 0.0371655 | + | 0.311004i | ||||
\(589\) | −29.0185 | + | 9.42868i | −1.19569 | + | 0.388502i | ||||
\(590\) | −16.7566 | − | 24.6716i | −0.689859 | − | 1.01572i | ||||
\(591\) | 11.0234 | + | 3.58173i | 0.453444 | + | 0.147333i | ||||
\(592\) | 19.8766 | − | 32.6005i | 0.816923 | − | 1.33987i | ||||
\(593\) | −24.7989 | + | 24.7989i | −1.01837 | + | 1.01837i | −0.0185411 | + | 0.999828i | \(0.505902\pi\) |
−0.999828 | + | 0.0185411i | \(0.994098\pi\) | |||||||
\(594\) | −0.0695789 | + | 3.64796i | −0.00285486 | + | 0.149677i | ||||
\(595\) | −3.56625 | − | 24.5163i | −0.146202 | − | 1.00507i | ||||
\(596\) | 9.39411 | + | 33.1658i | 0.384798 | + | 1.35852i | ||||
\(597\) | −8.24701 | − | 1.30620i | −0.337528 | − | 0.0534591i | ||||
\(598\) | −1.88473 | − | 13.5698i | −0.0770721 | − | 0.554909i | ||||
\(599\) | 5.41697 | 0.221331 | 0.110666 | − | 0.993858i | \(-0.464702\pi\) | ||||
0.110666 | + | 0.993858i | \(0.464702\pi\) | |||||||
\(600\) | 13.7643 | − | 3.24734i | 0.561923 | − | 0.132572i | ||||
\(601\) | −13.7486 | −0.560819 | −0.280409 | − | 0.959881i | \(-0.590470\pi\) | ||||
−0.280409 | + | 0.959881i | \(0.590470\pi\) | |||||||
\(602\) | −0.966355 | − | 6.95763i | −0.0393857 | − | 0.283572i | ||||
\(603\) | −6.72692 | − | 1.06544i | −0.273942 | − | 0.0433881i | ||||
\(604\) | −4.99365 | − | 17.6300i | −0.203189 | − | 0.717355i | ||||
\(605\) | −9.57347 | − | 1.64047i | −0.389217 | − | 0.0666948i | ||||
\(606\) | 0.498774 | − | 26.1502i | 0.0202613 | − | 1.06228i | ||||
\(607\) | 25.1868 | − | 25.1868i | 1.02230 | − | 1.02230i | 0.0225567 | − | 0.999746i | \(-0.492819\pi\) |
0.999746 | − | 0.0225567i | \(-0.00718063\pi\) | |||||||
\(608\) | −1.80492 | − | 29.2046i | −0.0731993 | − | 1.18440i | ||||
\(609\) | 6.10734 | + | 1.98440i | 0.247482 | + | 0.0804118i | ||||
\(610\) | −8.77463 | − | 3.16187i | −0.355274 | − | 0.128020i | ||||
\(611\) | 0.0567908 | − | 0.0184525i | 0.00229751 | − | 0.000746506i | ||||
\(612\) | 1.46927 | + | 12.2950i | 0.0593916 | + | 0.496995i | ||||
\(613\) | 9.17652 | + | 18.0099i | 0.370636 | + | 0.727415i | 0.998712 | − | 0.0507375i | \(-0.0161572\pi\) |
−0.628076 | + | 0.778152i | \(0.716157\pi\) | |||||||
\(614\) | −6.11908 | − | 4.62660i | −0.246946 | − | 0.186714i | ||||
\(615\) | 15.5140 | − | 4.82509i | 0.625586 | − | 0.194566i | ||||
\(616\) | 13.0373 | + | 0.746722i | 0.525288 | + | 0.0300863i | ||||
\(617\) | −2.43800 | − | 15.3930i | −0.0981503 | − | 0.619697i | −0.986904 | − | 0.161311i | \(-0.948428\pi\) |
0.888753 | − | 0.458386i | \(-0.151572\pi\) | |||||||
\(618\) | 4.99279 | − | 28.0501i | 0.200839 | − | 1.12834i | ||||
\(619\) | 11.5048 | + | 8.35870i | 0.462415 | + | 0.335964i | 0.794478 | − | 0.607293i | \(-0.207745\pi\) |
−0.332063 | + | 0.943257i | \(0.607745\pi\) | |||||||
\(620\) | 24.0825 | − | 10.7681i | 0.967176 | − | 0.432458i | ||||
\(621\) | −4.94644 | + | 3.59380i | −0.198494 | + | 0.144214i | ||||
\(622\) | 5.12610 | + | 10.5534i | 0.205538 | + | 0.423151i | ||||
\(623\) | −2.42563 | + | 4.76058i | −0.0971810 | + | 0.190728i | ||||
\(624\) | −4.82850 | − | 4.10513i | −0.193295 | − | 0.164337i | ||||
\(625\) | −24.9681 | − | 1.26231i | −0.998724 | − | 0.0504924i | ||||
\(626\) | −21.7110 | + | 15.1499i | −0.867745 | + | 0.605512i | ||||
\(627\) | −11.8905 | − | 6.05850i | −0.474860 | − | 0.241953i | ||||
\(628\) | 8.28755 | + | 4.62898i | 0.330709 | + | 0.184716i | ||||
\(629\) | −34.7372 | − | 47.8116i | −1.38506 | − | 1.90637i | ||||
\(630\) | 1.06197 | − | 5.55848i | 0.0423099 | − | 0.221455i | ||||
\(631\) | −12.7859 | + | 17.5983i | −0.508999 | + | 0.700577i | −0.983750 | − | 0.179543i | \(-0.942538\pi\) |
0.474751 | + | 0.880120i | \(0.342538\pi\) | |||||||
\(632\) | −11.3517 | − | 6.62756i | −0.451545 | − | 0.263630i | ||||
\(633\) | −15.2512 | + | 2.41555i | −0.606179 | + | 0.0960093i | ||||
\(634\) | −1.43327 | + | 0.435661i | −0.0569225 | + | 0.0173023i | ||||
\(635\) | −11.2065 | − | 36.0322i | −0.444718 | − | 1.42990i | ||||
\(636\) | −0.553940 | + | 14.5160i | −0.0219651 | + | 0.575596i | ||||
\(637\) | −5.36114 | + | 2.73163i | −0.212416 | + | 0.108231i | ||||
\(638\) | −6.16541 | + | 11.5503i | −0.244091 | + | 0.457282i | ||||
\(639\) | 0.936526 | + | 2.88233i | 0.0370484 | + | 0.114023i | ||||
\(640\) | 4.23096 | + | 24.9419i | 0.167244 | + | 0.985916i | ||||
\(641\) | 3.91015 | − | 12.0342i | 0.154442 | − | 0.475322i | −0.843662 | − | 0.536874i | \(-0.819605\pi\) |
0.998104 | + | 0.0615520i | \(0.0196050\pi\) | |||||||
\(642\) | −13.4816 | − | 14.0058i | −0.532075 | − | 0.552766i | ||||
\(643\) | 31.0681 | + | 31.0681i | 1.22521 | + | 1.22521i | 0.965756 | + | 0.259450i | \(0.0835414\pi\) |
0.259450 | + | 0.965756i | \(0.416459\pi\) | |||||||
\(644\) | 12.1780 | + | 18.1813i | 0.479881 | + | 0.716443i | ||||
\(645\) | 1.04823 | − | 6.11724i | 0.0412739 | − | 0.240866i | ||||
\(646\) | −42.7980 | − | 14.8140i | −1.68386 | − | 0.582850i | ||||
\(647\) | 7.56645 | − | 47.7727i | 0.297468 | − | 1.87814i | −0.157336 | − | 0.987545i | \(-0.550290\pi\) |
0.454803 | − | 0.890592i | \(-0.349710\pi\) | |||||||
\(648\) | −0.601484 | + | 2.76373i | −0.0236285 | + | 0.108570i | ||||
\(649\) | − | 24.3321i | − | 0.955120i | ||||||
\(650\) | 6.17717 | + | 9.34680i | 0.242289 | + | 0.366612i | ||||
\(651\) | − | 10.5561i | − | 0.413727i | ||||||
\(652\) | −7.97214 | + | 7.38606i | −0.312213 | + | 0.289260i | ||||
\(653\) | −0.865641 | + | 5.46544i | −0.0338752 | + | 0.213879i | −0.998820 | − | 0.0485752i | \(-0.984532\pi\) |
0.964944 | + | 0.262454i | \(0.0845320\pi\) | |||||||
\(654\) | −4.56201 | + | 13.1797i | −0.178389 | + | 0.515368i | ||||
\(655\) | −9.95278 | + | 1.44777i | −0.388887 | + | 0.0565692i | ||||
\(656\) | 6.84849 | + | 28.2452i | 0.267388 | + | 1.10279i | ||||
\(657\) | 5.30515 | + | 5.30515i | 0.206974 | + | 0.206974i | ||||
\(658\) | −0.0687175 | + | 0.0661452i | −0.00267889 | + | 0.00257861i | ||||
\(659\) | −14.2601 | + | 43.8880i | −0.555494 | + | 1.70963i | 0.139141 | + | 0.990273i | \(0.455566\pi\) |
−0.694635 | + | 0.719362i | \(0.744434\pi\) | |||||||
\(660\) | 10.7782 | + | 4.11771i | 0.419539 | + | 0.160282i | ||||
\(661\) | 10.7448 | + | 33.0690i | 0.417923 | + | 1.28624i | 0.909610 | + | 0.415463i | \(0.136381\pi\) |
−0.491687 | + | 0.870772i | \(0.663619\pi\) | |||||||
\(662\) | −39.3227 | − | 20.9899i | −1.52832 | − | 0.815797i | ||||
\(663\) | −8.74035 | + | 4.45343i | −0.339447 | + | 0.172957i | ||||
\(664\) | 20.1457 | − | 12.9442i | 0.781803 | − | 0.502331i | ||||
\(665\) | 16.5901 | + | 12.3765i | 0.643338 | + | 0.479941i | ||||
\(666\) | −3.92595 | − | 12.9159i | −0.152128 | − | 0.500481i | ||||
\(667\) | −21.6701 | + | 3.43220i | −0.839068 | + | 0.132895i | ||||
\(668\) | 30.0960 | − | 13.9156i | 1.16445 | − | 0.538412i | ||||
\(669\) | 4.86623 | − | 6.69779i | 0.188139 | − | 0.258951i | ||||
\(670\) | −10.3812 | + | 18.8706i | −0.401059 | + | 0.729034i | ||||
\(671\) | −4.47271 | − | 6.15616i | −0.172667 | − | 0.237656i | ||||
\(672\) | 9.80232 | + | 2.52838i | 0.378133 | + | 0.0975346i | ||||
\(673\) | 22.2414 | + | 11.3325i | 0.857342 | + | 0.436838i | 0.826667 | − | 0.562692i | \(-0.190234\pi\) |
0.0306753 | + | 0.999529i | \(0.490234\pi\) | |||||||
\(674\) | 16.3738 | + | 23.4649i | 0.630694 | + | 0.903833i | ||||
\(675\) | 2.38174 | − | 4.39629i | 0.0916731 | − | 0.169213i | ||||
\(676\) | −7.23906 | + | 19.6907i | −0.278425 | + | 0.757334i | ||||
\(677\) | −8.19739 | + | 16.0883i | −0.315051 | + | 0.618323i | −0.993176 | − | 0.116624i | \(-0.962793\pi\) |
0.678125 | + | 0.734947i | \(0.262793\pi\) | |||||||
\(678\) | 8.34985 | − | 4.05578i | 0.320674 | − | 0.155761i | ||||
\(679\) | −17.7541 | + | 12.8991i | −0.681340 | + | 0.495022i | ||||
\(680\) | 38.1529 | + | 8.80944i | 1.46310 | + | 0.337826i | ||||
\(681\) | −22.2120 | − | 16.1380i | −0.851167 | − | 0.618409i | ||||
\(682\) | 21.1895 | + | 3.77163i | 0.811386 | + | 0.144423i | ||||
\(683\) | −3.32035 | − | 20.9639i | −0.127050 | − | 0.802161i | −0.966112 | − | 0.258125i | \(-0.916895\pi\) |
0.839062 | − | 0.544036i | \(-0.183105\pi\) | |||||||
\(684\) | −8.13140 | − | 6.39542i | −0.310912 | − | 0.244535i | ||||
\(685\) | 36.5561 | + | 12.3903i | 1.39674 | + | 0.473409i | ||||
\(686\) | 16.4807 | − | 21.7971i | 0.629235 | − | 0.832219i | ||||
\(687\) | −8.07421 | − | 15.8465i | −0.308050 | − | 0.604583i | ||||
\(688\) | 10.8014 | + | 2.56743i | 0.411800 | + | 0.0978825i | ||||
\(689\) | −10.9449 | + | 3.55620i | −0.416966 | + | 0.135480i | ||||
\(690\) | 5.38891 | + | 18.5684i | 0.205152 | + | 0.706887i | ||||
\(691\) | 27.8609 | + | 9.05257i | 1.05988 | + | 0.344376i | 0.786539 | − | 0.617541i | \(-0.211871\pi\) |
0.273342 | + | 0.961917i | \(0.411871\pi\) | |||||||
\(692\) | −39.2795 | − | 7.76715i | −1.49318 | − | 0.295263i | ||||
\(693\) | 3.26467 | − | 3.26467i | 0.124015 | − | 0.124015i | ||||
\(694\) | −0.455153 | − | 0.00868131i | −0.0172774 | − | 0.000329538i | ||||
\(695\) | −14.6860 | + | 27.9449i | −0.557073 | + | 1.06001i | ||||
\(696\) | −6.42558 | + | 7.85665i | −0.243561 | + | 0.297806i | ||||
\(697\) | 44.4310 | + | 7.03717i | 1.68294 | + | 0.266552i | ||||
\(698\) | 2.67181 | − | 0.371092i | 0.101130 | − | 0.0140460i | ||||
\(699\) | 5.39410 | 0.204024 | ||||||||
\(700\) | −15.3981 | − | 9.11822i | −0.581995 | − | 0.344636i | ||||
\(701\) | −26.3853 | −0.996559 | −0.498279 | − | 0.867016i | \(-0.666035\pi\) | ||||
−0.498279 | + | 0.867016i | \(0.666035\pi\) | |||||||
\(702\) | −2.21941 | + | 0.308257i | −0.0837662 | + | 0.0116344i | ||||
\(703\) | 48.7668 | + | 7.72390i | 1.83927 | + | 0.291312i | ||||
\(704\) | −8.57755 | + | 18.7729i | −0.323279 | + | 0.707532i | ||||
\(705\) | −0.0755644 | + | 0.0373076i | −0.00284592 | + | 0.00140509i | ||||
\(706\) | −12.6231 | − | 0.240766i | −0.475077 | − | 0.00906134i | ||||
\(707\) | −23.4026 | + | 23.4026i | −0.880147 | + | 0.880147i | ||||
\(708\) | 3.65900 | − | 18.5041i | 0.137514 | − | 0.695426i | ||||
\(709\) | −12.9991 | − | 4.22365i | −0.488190 | − | 0.158623i | 0.0545707 | − | 0.998510i | \(-0.482621\pi\) |
−0.542761 | + | 0.839887i | \(0.682621\pi\) | |||||||
\(710\) | 9.57898 | + | 0.303751i | 0.359493 | + | 0.0113996i | ||||
\(711\) | −4.41992 | + | 1.43612i | −0.165760 | + | 0.0538587i | ||||
\(712\) | −5.62007 | − | 6.30297i | −0.210621 | − | 0.236214i | ||||
\(713\) | 16.3737 | + | 32.1351i | 0.613198 | + | 1.20347i | ||||
\(714\) | 9.44987 | − | 12.4983i | 0.353653 | − | 0.467737i | ||||
\(715\) | −0.115428 | + | 9.13978i | −0.00431674 | + | 0.341808i | ||||
\(716\) | −24.6161 | + | 31.2979i | −0.919945 | + | 1.16966i | ||||
\(717\) | −1.57773 | − | 9.96138i | −0.0589213 | − | 0.372015i | ||||
\(718\) | −28.8096 | − | 5.12798i | −1.07516 | − | 0.191375i | ||||
\(719\) | −28.1664 | − | 20.4641i | −1.05043 | − | 0.763183i | −0.0781367 | − | 0.996943i | \(-0.524897\pi\) |
−0.972294 | + | 0.233760i | \(0.924897\pi\) | |||||||
\(720\) | 7.57736 | + | 4.75222i | 0.282392 | + | 0.177105i | ||||
\(721\) | −29.1669 | + | 21.1910i | −1.08623 | + | 0.789194i | ||||
\(722\) | 9.86535 | − | 4.79191i | 0.367150 | − | 0.178337i | ||||
\(723\) | 2.34801 | − | 4.60823i | 0.0873235 | − | 0.171382i | ||||
\(724\) | 19.1140 | + | 7.02704i | 0.710366 | + | 0.261158i | ||||
\(725\) | 14.7772 | − | 10.1762i | 0.548813 | − | 0.377935i | ||||
\(726\) | −3.51536 | − | 5.03778i | −0.130467 | − | 0.186970i | ||||
\(727\) | 31.4045 | + | 16.0014i | 1.16473 | + | 0.593458i | 0.925961 | − | 0.377619i | \(-0.123257\pi\) |
0.238766 | + | 0.971077i | \(0.423257\pi\) | |||||||
\(728\) | 0.799566 | + | 7.97973i | 0.0296339 | + | 0.295748i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 21.4702 | − | 10.0957i | 0.794648 | − | 0.373658i | ||||
\(731\) | 10.1007 | − | 13.9024i | 0.373586 | − | 0.514197i | ||||
\(732\) | −2.47566 | − | 5.35422i | −0.0915029 | − | 0.197898i | ||||
\(733\) | −21.4328 | + | 3.39462i | −0.791637 | + | 0.125383i | −0.539142 | − | 0.842215i | \(-0.681251\pi\) |
−0.252495 | + | 0.967598i | \(0.581251\pi\) | |||||||
\(734\) | −6.39440 | − | 21.0368i | −0.236022 | − | 0.776482i | ||||
\(735\) | 6.93233 | − | 4.90408i | 0.255703 | − | 0.180890i | ||||
\(736\) | −33.7621 | + | 7.50748i | −1.24449 | + | 0.276729i | ||||
\(737\) | −15.6564 | + | 7.97732i | −0.576710 | + | 0.293848i | ||||
\(738\) | 9.06494 | + | 4.83874i | 0.333685 | + | 0.178117i | ||||
\(739\) | 7.04674 | + | 21.6876i | 0.259219 | + | 0.797793i | 0.992969 | + | 0.118374i | \(0.0377681\pi\) |
−0.733751 | + | 0.679419i | \(0.762232\pi\) | |||||||
\(740\) | −42.6338 | − | 2.16641i | −1.56725 | − | 0.0796388i | ||||
\(741\) | 2.53255 | − | 7.79439i | 0.0930356 | − | 0.286334i | ||||
\(742\) | 13.2434 | − | 12.7477i | 0.486181 | − | 0.467981i | ||||
\(743\) | 12.9863 | + | 12.9863i | 0.476422 | + | 0.476422i | 0.903985 | − | 0.427563i | \(-0.140628\pi\) |
−0.427563 | + | 0.903985i | \(0.640628\pi\) | |||||||
\(744\) | 15.5470 | + | 6.05466i | 0.569980 | + | 0.221975i | ||||
\(745\) | 27.5933 | − | 26.9051i | 1.01094 | − | 0.985725i | ||||
\(746\) | −3.50469 | + | 10.1251i | −0.128316 | + | 0.370707i | ||||
\(747\) | 1.32439 | − | 8.36187i | 0.0484569 | − | 0.305945i | ||||
\(748\) | 21.7116 | + | 23.4344i | 0.793854 | + | 0.856846i | ||||
\(749\) | 24.5993i | 0.898840i | ||||||||
\(750\) | −10.5258 | − | 11.7987i | −0.384346 | − | 0.430826i | ||||
\(751\) | 17.3842i | 0.634360i | 0.948365 | + | 0.317180i | \(0.102736\pi\) | ||||
−0.948365 | + | 0.317180i | \(0.897264\pi\) | |||||||
\(752\) | −0.0580039 | − | 0.139145i | −0.00211518 | − | 0.00507411i | ||||
\(753\) | −2.13169 | + | 13.4589i | −0.0776830 | + | 0.490471i | ||||
\(754\) | −7.59835 | − | 2.63008i | −0.276716 | − | 0.0957819i | ||||
\(755\) | −14.6678 | + | 14.3020i | −0.533817 | + | 0.520502i | ||||
\(756\) | 2.97365 | − | 1.99178i | 0.108151 | − | 0.0724404i | ||||
\(757\) | −0.770220 | − | 0.770220i | −0.0279941 | − | 0.0279941i | 0.692971 | − | 0.720965i | \(-0.256301\pi\) |
−0.720965 | + | 0.692971i | \(0.756301\pi\) | |||||||
\(758\) | 34.3942 | + | 35.7317i | 1.24925 | + | 1.29783i | ||||
\(759\) | −4.87451 | + | 15.0022i | −0.176933 | + | 0.544545i | ||||
\(760\) | −27.7436 | + | 17.3350i | −1.00637 | + | 0.628807i | ||||
\(761\) | 5.86337 | + | 18.0456i | 0.212547 | + | 0.654152i | 0.999319 | + | 0.0369083i | \(0.0117509\pi\) |
−0.786772 | + | 0.617244i | \(0.788249\pi\) | |||||||
\(762\) | 11.2383 | − | 21.0539i | 0.407119 | − | 0.762701i | ||||
\(763\) | 15.7248 | − | 8.01219i | 0.569276 | − | 0.290061i | ||||
\(764\) | 25.5820 | + | 0.976226i | 0.925523 | + | 0.0353186i | ||||
\(765\) | 11.3019 | − | 7.99521i | 0.408621 | − | 0.289067i | ||||
\(766\) | 15.5721 | − | 4.73335i | 0.562644 | − | 0.171023i | ||||
\(767\) | 14.7590 | − | 2.33760i | 0.532918 | − | 0.0844059i | ||||
\(768\) | −9.34608 | + | 12.9866i | −0.337248 | + | 0.468612i | ||||
\(769\) | 23.8890 | − | 32.8804i | 0.861459 | − | 1.18570i | −0.119761 | − | 0.992803i | \(-0.538213\pi\) |
0.981220 | − | 0.192894i | \(-0.0617872\pi\) | |||||||
\(770\) | −6.21265 | − | 13.2123i | −0.223888 | − | 0.476138i | ||||
\(771\) | −8.91936 | − | 12.2764i | −0.321223 | − | 0.442125i | ||||
\(772\) | −4.41021 | + | 7.89587i | −0.158727 | + | 0.284179i | ||||
\(773\) | 8.89205 | + | 4.53072i | 0.319825 | + | 0.162959i | 0.606531 | − | 0.795060i | \(-0.292560\pi\) |
−0.286707 | + | 0.958018i | \(0.592560\pi\) | |||||||
\(774\) | 3.21903 | − | 2.24624i | 0.115706 | − | 0.0807393i | ||||
\(775\) | −23.4158 | − | 17.9332i | −0.841119 | − | 0.644180i | ||||
\(776\) | −8.81450 | − | 33.5466i | −0.316422 | − | 1.20425i | ||||
\(777\) | −7.75509 | + | 15.2202i | −0.278212 | + | 0.546023i | ||||
\(778\) | 6.49669 | + | 13.3751i | 0.232918 | + | 0.479519i | ||||
\(779\) | −30.4055 | + | 22.0909i | −1.08939 | + | 0.791487i | ||||
\(780\) | −1.46220 | + | 6.93325i | −0.0523550 | + | 0.248250i | ||||
\(781\) | 6.32570 | + | 4.59589i | 0.226351 | + | 0.164454i | ||||
\(782\) | −9.38129 | + | 52.7052i | −0.335474 | + | 1.88473i | ||||
\(783\) | 0.561355 | + | 3.54426i | 0.0200612 | + | 0.126661i | ||||
\(784\) | 7.96606 | + | 12.9339i | 0.284502 | + | 0.461924i | ||||
\(785\) | 0.134024 | − | 10.6123i | 0.00478353 | − | 0.378769i | ||||
\(786\) | −5.07387 | − | 3.83632i | −0.180979 | − | 0.136837i | ||||
\(787\) | 18.5177 | + | 36.3430i | 0.660084 | + | 1.29549i | 0.941859 | + | 0.336007i | \(0.109077\pi\) |
−0.281775 | + | 0.959480i | \(0.590923\pi\) | |||||||
\(788\) | 23.0177 | − | 2.75065i | 0.819972 | − | 0.0979878i | ||||
\(789\) | 17.2127 | − | 5.59276i | 0.612790 | − | 0.199107i | ||||
\(790\) | −0.465788 | + | 14.6889i | −0.0165720 | + | 0.522608i | ||||
\(791\) | −11.1714 | − | 3.62981i | −0.397210 | − | 0.129061i | ||||
\(792\) | 2.93567 | + | 6.68069i | 0.104314 | + | 0.237388i | ||||
\(793\) | 3.30442 | − | 3.30442i | 0.117343 | − | 0.117343i | ||||
\(794\) | −0.173580 | + | 9.10065i | −0.00616014 | + | 0.322970i | ||||
\(795\) | 14.5629 | − | 7.19001i | 0.516494 | − | 0.255003i | ||||
\(796\) | −16.0675 | + | 4.55107i | −0.569498 | + | 0.161309i | ||||
\(797\) | 4.72778 | + | 0.748807i | 0.167467 | + | 0.0265241i | 0.239605 | − | 0.970871i | \(-0.422982\pi\) |
−0.0721379 | + | 0.997395i | \(0.522982\pi\) | |||||||
\(798\) | 1.80089 | + | 12.9662i | 0.0637507 | + | 0.458997i | ||||
\(799\) | −0.233333 | −0.00825474 | ||||||||
\(800\) | 22.2611 | − | 17.4483i | 0.787049 | − | 0.616891i | ||||
\(801\) | −2.98564 | −0.105493 | ||||||||
\(802\) | −4.18017 | − | 30.0967i | −0.147607 | − | 1.06275i | ||||
\(803\) | 19.1182 | + | 3.02802i | 0.674666 | + | 0.106857i | ||||
\(804\) | −13.1060 | + | 3.71222i | −0.462211 | + | 0.130920i | ||||
\(805\) | 11.3817 | − | 21.6572i | 0.401151 | − | 0.763318i | ||||
\(806\) | −0.252058 | + | 13.2151i | −0.00887835 | + | 0.465483i | ||||
\(807\) | 11.3522 | − | 11.3522i | 0.399615 | − | 0.399615i | ||||
\(808\) | −21.0442 | − | 47.8902i | −0.740332 | − | 1.68477i | ||||
\(809\) | −2.35381 | − | 0.764801i | −0.0827557 | − | 0.0268890i | 0.267347 | − | 0.963600i | \(-0.413853\pi\) |
−0.350102 | + | 0.936711i | \(0.613853\pi\) | |||||||
\(810\) | 3.03697 | − | 0.881386i | 0.106708 | − | 0.0309687i | ||||
\(811\) | 11.1441 | − | 3.62095i | 0.391323 | − | 0.127149i | −0.106745 | − | 0.994286i | \(-0.534043\pi\) |
0.498068 | + | 0.867138i | \(0.334043\pi\) | |||||||
\(812\) | 12.7525 | − | 1.52395i | 0.447527 | − | 0.0534801i | ||||
\(813\) | −1.35972 | − | 2.66861i | −0.0476876 | − | 0.0935922i | ||||
\(814\) | −27.7809 | − | 21.0050i | −0.973720 | − | 0.736224i | ||||
\(815\) | 11.5075 | + | 3.90036i | 0.403091 | + | 0.136624i | ||||
\(816\) | 12.9872 | + | 21.0863i | 0.454643 | + | 0.738168i | ||||
\(817\) | 2.24591 | + | 14.1801i | 0.0785743 | + | 0.496098i | ||||
\(818\) | 6.56438 | − | 36.8795i | 0.229518 | − | 1.28946i | ||||
\(819\) | 2.29388 | + | 1.66660i | 0.0801545 | + | 0.0582357i | ||||
\(820\) | 24.1132 | − | 21.7811i | 0.842071 | − | 0.760631i | ||||
\(821\) | −36.4321 | + | 26.4694i | −1.27149 | + | 0.923790i | −0.999261 | − | 0.0384434i | \(-0.987760\pi\) |
−0.272227 | + | 0.962233i | \(0.587760\pi\) | |||||||
\(822\) | 10.6660 | + | 21.9587i | 0.372020 | + | 0.765897i | ||||
\(823\) | 6.03211 | − | 11.8387i | 0.210266 | − | 0.412670i | −0.761653 | − | 0.647985i | \(-0.775612\pi\) |
0.971919 | + | 0.235314i | \(0.0756120\pi\) | |||||||
\(824\) | −14.4807 | − | 55.1112i | −0.504459 | − | 1.91989i | ||||
\(825\) | −1.69557 | − | 12.7879i | −0.0590321 | − | 0.445217i | ||||
\(826\) | −19.5739 | + | 13.6587i | −0.681064 | + | 0.475246i | ||||
\(827\) | −24.7640 | − | 12.6179i | −0.861127 | − | 0.438766i | −0.0330987 | − | 0.999452i | \(-0.510538\pi\) |
−0.828029 | + | 0.560686i | \(0.810538\pi\) | |||||||
\(828\) | −5.96296 | + | 10.6758i | −0.207227 | + | 0.371011i | ||||
\(829\) | 12.5423 | + | 17.2630i | 0.435612 | + | 0.599568i | 0.969230 | − | 0.246158i | \(-0.0791681\pi\) |
−0.533618 | + | 0.845725i | \(0.679168\pi\) | |||||||
\(830\) | −23.4570 | − | 12.9042i | −0.814203 | − | 0.447913i | ||||
\(831\) | 10.1928 | − | 14.0292i | 0.353584 | − | 0.486666i | ||||
\(832\) | −12.2111 | − | 3.39932i | −0.423343 | − | 0.117850i | ||||
\(833\) | 23.2221 | − | 3.67801i | 0.804596 | − | 0.127436i | ||||
\(834\) | −19.1029 | + | 5.80657i | −0.661480 | + | 0.201065i | ||||
\(835\) | −29.7136 | − | 22.1669i | −1.02828 | − | 0.767116i | ||||
\(836\) | −26.6706 | − | 1.01777i | −0.922420 | − | 0.0352002i | ||||
\(837\) | 5.25587 | − | 2.67800i | 0.181670 | − | 0.0925653i | ||||
\(838\) | 20.1137 | − | 37.6811i | 0.694815 | − | 1.30167i | ||||
\(839\) | 4.45524 | + | 13.7118i | 0.153812 | + | 0.473385i | 0.998039 | − | 0.0626017i | \(-0.0199398\pi\) |
−0.844227 | + | 0.535987i | \(0.819940\pi\) | |||||||
\(840\) | −2.73776 | − | 10.9819i | −0.0944619 | − | 0.378912i | ||||
\(841\) | 4.98232 | − | 15.3340i | 0.171804 | − | 0.528759i | ||||
\(842\) | −37.2247 | − | 38.6723i | −1.28285 | − | 1.33273i | ||||
\(843\) | 7.04142 | + | 7.04142i | 0.242519 | + | 0.242519i | ||||
\(844\) | −25.6585 | + | 17.1864i | −0.883203 | + | 0.591579i | ||||
\(845\) | 23.2112 | − | 3.37640i | 0.798488 | − | 0.116152i | ||||
\(846\) | −0.0503666 | − | 0.0174338i | −0.00173164 | − | 0.000599387i | ||||
\(847\) | −1.21602 | + | 7.67767i | −0.0417830 | + | 0.263808i | ||||
\(848\) | 11.1786 | + | 26.8164i | 0.383876 | + | 0.920879i | ||||
\(849\) | 11.3168i | 0.388391i | ||||||||
\(850\) | −11.6700 | − | 42.1945i | −0.400278 | − | 1.44726i | ||||
\(851\) | − | 58.3626i | − | 2.00064i | ||||||
\(852\) | 4.11945 | + | 4.44632i | 0.141130 | + | 0.152329i | ||||
\(853\) | 6.23886 | − | 39.3906i | 0.213615 | − | 1.34871i | −0.614840 | − | 0.788652i | \(-0.710779\pi\) |
0.828454 | − | 0.560057i | \(-0.189221\pi\) | |||||||
\(854\) | −2.44158 | + | 7.05377i | −0.0835492 | + | 0.241375i | ||||
\(855\) | −1.95346 | + | 11.4000i | −0.0668071 | + | 0.389872i | ||||
\(856\) | −36.2297 | − | 14.1094i | −1.23830 | − | 0.482249i | ||||
\(857\) | 11.2607 | + | 11.2607i | 0.384659 | + | 0.384659i | 0.872777 | − | 0.488119i | \(-0.162317\pi\) |
−0.488119 | + | 0.872777i | \(0.662317\pi\) | |||||||
\(858\) | −4.16497 | + | 4.00906i | −0.142190 | + | 0.136867i | ||||
\(859\) | 15.0260 | − | 46.2452i | 0.512680 | − | 1.57787i | −0.274785 | − | 0.961506i | \(-0.588607\pi\) |
0.787465 | − | 0.616360i | \(-0.211393\pi\) | |||||||
\(860\) | −3.23172 | − | 11.9847i | −0.110201 | − | 0.408675i | ||||
\(861\) | −4.01802 | − | 12.3662i | −0.136934 | − | 0.421439i | ||||
\(862\) | −5.67549 | − | 3.02950i | −0.193308 | − | 0.103185i | ||||
\(863\) | 11.9945 | − | 6.11151i | 0.408298 | − | 0.208038i | −0.237764 | − | 0.971323i | \(-0.576415\pi\) |
0.646062 | + | 0.763285i | \(0.276415\pi\) | |||||||
\(864\) | 1.22789 | + | 5.52198i | 0.0417736 | + | 0.187862i | ||||
\(865\) | 13.2948 | + | 42.7465i | 0.452036 | + | 1.45342i | ||||
\(866\) | 5.05566 | + | 16.6325i | 0.171798 | + | 0.565195i | ||||
\(867\) | 21.0686 | − | 3.33694i | 0.715527 | − | 0.113328i | ||||
\(868\) | −8.86047 | − | 19.1630i | −0.300744 | − | 0.650434i | ||||
\(869\) | −7.04759 | + | 9.70017i | −0.239073 | + | 0.329056i | ||||
\(870\) | 11.1460 | + | 2.12950i | 0.377886 | + | 0.0721967i | ||||
\(871\) | −6.34289 | − | 8.73023i | −0.214920 | − | 0.295813i | ||||
\(872\) | 2.78103 | + | 27.7549i | 0.0941776 | + | 0.939899i | ||||
\(873\) | −10.9265 | − | 5.56733i | −0.369806 | − | 0.188426i | ||||
\(874\) | −25.5941 | − | 36.6784i | −0.865735 | − | 1.24066i | ||||
\(875\) | −0.757816 | + | 19.9933i | −0.0256189 | + | 0.675896i | ||||
\(876\) | 14.0836 | + | 5.17769i | 0.475842 | + | 0.174938i | ||||
\(877\) | 24.5889 | − | 48.2585i | 0.830309 | − | 1.62957i | 0.0545785 | − | 0.998509i | \(-0.482618\pi\) |
0.775731 | − | 0.631064i | \(-0.217382\pi\) | |||||||
\(878\) | −17.2779 | + | 8.39242i | −0.583101 | + | 0.283230i | ||||
\(879\) | 22.2036 | − | 16.1318i | 0.748908 | − | 0.544113i | ||||
\(880\) | 23.0223 | − | 1.57179i | 0.776082 | − | 0.0529851i | ||||
\(881\) | 15.7949 | + | 11.4757i | 0.532145 | + | 0.386626i | 0.821160 | − | 0.570699i | \(-0.193328\pi\) |
−0.289014 | + | 0.957325i | \(0.593328\pi\) | |||||||
\(882\) | 5.28745 | + | 0.941143i | 0.178038 | + | 0.0316899i | ||||
\(883\) | −3.04871 | − | 19.2488i | −0.102597 | − | 0.647774i | −0.984372 | − | 0.176103i | \(-0.943651\pi\) |
0.881774 | − | 0.471671i | \(-0.156349\pi\) | |||||||
\(884\) | −12.1287 | + | 15.4209i | −0.407931 | + | 0.518660i | ||||
\(885\) | −20.1373 | + | 6.26300i | −0.676909 | + | 0.210528i | ||||
\(886\) | 13.2192 | − | 17.4836i | 0.444109 | − | 0.587373i | ||||
\(887\) | −5.86298 | − | 11.5067i | −0.196860 | − | 0.386359i | 0.771383 | − | 0.636371i | \(-0.219565\pi\) |
−0.968243 | + | 0.250012i | \(0.919565\pi\) | |||||||
\(888\) | −17.9681 | − | 20.1515i | −0.602971 | − | 0.676239i | ||||
\(889\) | −28.7212 | + | 9.33210i | −0.963279 | + | 0.312988i | ||||
\(890\) | −3.20069 | + | 8.88235i | −0.107287 | + | 0.297737i | ||||
\(891\) | 2.45369 | + | 0.797253i | 0.0822017 | + | 0.0267090i | ||||
\(892\) | 3.21196 | − | 16.2433i | 0.107544 | − | 0.543867i | ||||
\(893\) | 0.137845 | − | 0.137845i | 0.00461279 | − | 0.00461279i | ||||
\(894\) | 24.3699 | + | 0.464818i | 0.815053 | + | 0.0155458i | ||||
\(895\) | 43.8788 | + | 7.51891i | 1.46671 | + | 0.251329i | ||||
\(896\) | 19.9168 | − | 3.63787i | 0.665373 | − | 0.121533i | ||||
\(897\) | −9.56812 | − | 1.51544i | −0.319470 | − | 0.0505991i | ||||
\(898\) | −42.9762 | + | 5.96902i | −1.43413 | + | 0.199189i | ||||
\(899\) | 21.1675 | 0.705975 | ||||||||
\(900\) | 0.633567 | − | 9.97991i | 0.0211189 | − | 0.332664i | ||||
\(901\) | 44.9685 | 1.49812 | ||||||||
\(902\) | 26.2584 | − | 3.64707i | 0.874311 | − | 0.121434i | ||||
\(903\) | −4.90586 | − | 0.777012i | −0.163257 | − | 0.0258573i | ||||
\(904\) | 11.7535 | − | 14.3712i | 0.390916 | − | 0.477980i | ||||
\(905\) | −3.27751 | − | 22.5314i | −0.108948 | − | 0.748968i | ||||
\(906\) | −12.9544 | − | 0.247084i | −0.430380 | − | 0.00820882i | ||||
\(907\) | −10.8696 | + | 10.8696i | −0.360919 | + | 0.360919i | −0.864151 | − | 0.503232i | \(-0.832144\pi\) |
0.503232 | + | 0.864151i | \(0.332144\pi\) | |||||||
\(908\) | −53.8681 | − | 10.6519i | −1.78768 | − | 0.353496i | ||||
\(909\) | −17.5892 | − | 5.71507i | −0.583396 | − | 0.189557i | ||||
\(910\) | 7.41727 | − | 5.03769i | 0.245880 | − | 0.166998i | ||||
\(911\) | 30.7028 | − | 9.97593i | 1.01723 | − | 0.330517i | 0.247499 | − | 0.968888i | \(-0.420391\pi\) |
0.769729 | + | 0.638371i | \(0.220391\pi\) | |||||||
\(912\) | −20.1294 | − | 4.78464i | −0.666550 | − | 0.158435i | ||||
\(913\) | −9.91617 | − | 19.4616i | −0.328177 | − | 0.644084i | ||||
\(914\) | −5.64452 | + | 7.46537i | −0.186704 | + | 0.246933i | ||||
\(915\) | −3.94359 | + | 5.28619i | −0.130371 | + | 0.174756i | ||||
\(916\) | −27.9585 | − | 21.9896i | −0.923774 | − | 0.726557i | ||||
\(917\) | 1.25916 | + | 7.95000i | 0.0415810 | + | 0.262532i | ||||
\(918\) | 8.62022 | + | 1.53436i | 0.284510 | + | 0.0506415i | ||||
\(919\) | −20.5334 | − | 14.9184i | −0.677333 | − | 0.492111i | 0.195139 | − | 0.980776i | \(-0.437484\pi\) |
−0.872472 | + | 0.488664i | \(0.837484\pi\) | |||||||
\(920\) | 25.3684 | + | 29.1847i | 0.836372 | + | 0.962192i | ||||
\(921\) | −4.38844 | + | 3.18839i | −0.144604 | + | 0.105061i | ||||
\(922\) | −9.59631 | + | 4.66123i | −0.316038 | + | 0.153509i | ||||
\(923\) | −2.18000 | + | 4.27848i | −0.0717555 | + | 0.140828i | ||||
\(924\) | 3.18623 | − | 8.66675i | 0.104819 | − | 0.285115i | ||||
\(925\) | 20.5870 | + | 43.0592i | 0.676897 | + | 1.41578i | ||||
\(926\) | 13.7257 | + | 19.6700i | 0.451055 | + | 0.646397i | ||||
\(927\) | −17.9504 | − | 9.14616i | −0.589567 | − | 0.300399i | ||||
\(928\) | −5.07000 | + | 19.6559i | −0.166431 | + | 0.645237i | ||||
\(929\) | −17.0561 | − | 23.4756i | −0.559591 | − | 0.770211i | 0.431683 | − | 0.902025i | \(-0.357920\pi\) |
−0.991274 | + | 0.131814i | \(0.957920\pi\) | |||||||
\(930\) | −2.33267 | − | 18.5072i | −0.0764914 | − | 0.606876i | ||||
\(931\) | −11.5459 | + | 15.8916i | −0.378401 | + | 0.520825i | ||||
\(932\) | 9.79213 | − | 4.52763i | 0.320752 | − | 0.148308i | ||||
\(933\) | 8.19395 | − | 1.29779i | 0.268258 | − | 0.0424879i | ||||
\(934\) | −2.67673 | − | 8.80611i | −0.0875852 | − | 0.288145i | ||||
\(935\) | 11.4652 | − | 33.8268i | 0.374954 | − | 1.10625i | ||||
\(936\) | −3.77024 | + | 2.42249i | −0.123234 | + | 0.0791816i | ||||
\(937\) | −37.0127 | + | 18.8589i | −1.20915 | + | 0.616093i | −0.938064 | − | 0.346461i | \(-0.887383\pi\) |
−0.271087 | + | 0.962555i | \(0.587383\pi\) | |||||||
\(938\) | 15.2059 | + | 8.11672i | 0.496491 | + | 0.265020i | ||||
\(939\) | 5.78484 | + | 17.8039i | 0.188781 | + | 0.581008i | ||||
\(940\) | −0.105860 | + | 0.131152i | −0.00345278 | + | 0.00427772i | ||||
\(941\) | −0.494245 | + | 1.52113i | −0.0161119 | + | 0.0495874i | −0.958789 | − | 0.284118i | \(-0.908299\pi\) |
0.942677 | + | 0.333706i | \(0.108299\pi\) | |||||||
\(942\) | 4.83599 | − | 4.65496i | 0.157565 | − | 0.151667i | ||||
\(943\) | 31.4130 | + | 31.4130i | 1.02295 | + | 1.02295i | ||||
\(944\) | −8.88939 | − | 36.6625i | −0.289325 | − | 1.19326i | ||||
\(945\) | −3.54216 | − | 1.86153i | −0.115227 | − | 0.0605557i | ||||
\(946\) | 3.31253 | − | 9.56997i | 0.107700 | − | 0.311147i | ||||
\(947\) | 4.82272 | − | 30.4494i | 0.156717 | − | 0.989474i | −0.776489 | − | 0.630131i | \(-0.783001\pi\) |
0.933206 | − | 0.359342i | \(-0.116999\pi\) | |||||||
\(948\) | −6.81823 | + | 6.31698i | −0.221446 | + | 0.205166i | ||||
\(949\) | 11.8873i | 0.385879i | ||||||||
\(950\) | 31.8211 | + | 18.0327i | 1.03241 | + | 0.585059i | ||||
\(951\) | 1.05926i | 0.0343489i | ||||||||
\(952\) | 6.66409 | − | 30.6206i | 0.215984 | − | 0.992418i | ||||
\(953\) | −2.81647 | + | 17.7825i | −0.0912344 | + | 0.576031i | 0.899145 | + | 0.437651i | \(0.144190\pi\) |
−0.990379 | + | 0.138380i | \(0.955810\pi\) | |||||||
\(954\) | 9.70677 | + | 3.35988i | 0.314268 | + | 0.108780i | ||||
\(955\) | −12.6712 | − | 25.6647i | −0.410030 | − | 0.830492i | ||||
\(956\) | −11.2254 | − | 16.7590i | −0.363054 | − | 0.542025i | ||||
\(957\) | 6.54642 | + | 6.54642i | 0.211616 | + | 0.211616i | ||||
\(958\) | 6.43462 | + | 6.68485i | 0.207893 | + | 0.215978i | ||||
\(959\) | 9.54579 | − | 29.3789i | 0.308250 | − | 0.948695i | ||||
\(960\) | 17.7444 | + | 2.26672i | 0.572696 | + | 0.0731580i | ||||
\(961\) | −1.17300 | − | 3.61013i | −0.0378388 | − | 0.116456i | ||||
\(962\) | 10.0720 | − | 18.8689i | 0.324733 | − | 0.608358i | ||||
\(963\) | −12.2480 | + | 6.24065i | −0.394685 | + | 0.201102i | ||||
\(964\) | 0.394442 | − | 10.3364i | 0.0127041 | − | 0.332912i | ||||
\(965\) | 10.1107 | + | 0.127690i | 0.325476 | + | 0.00411049i | ||||
\(966\) | 14.8048 | − | 4.50009i | 0.476335 | − | 0.144788i | ||||
\(967\) | 49.1784 | − | 7.78910i | 1.58147 | − | 0.250481i | 0.696999 | − | 0.717072i | \(-0.254518\pi\) |
0.884473 | + | 0.466592i | \(0.154518\pi\) | |||||||
\(968\) | −10.6101 | − | 6.19461i | −0.341022 | − | 0.199102i | ||||
\(969\) | −18.8235 | + | 25.9083i | −0.604697 | + | 0.832294i | ||||
\(970\) | −28.2764 | + | 26.5383i | −0.907902 | + | 0.852092i | ||||
\(971\) | 17.0745 | + | 23.5010i | 0.547945 | + | 0.754182i | 0.989732 | − | 0.142938i | \(-0.0456550\pi\) |
−0.441786 | + | 0.897120i | \(0.645655\pi\) | |||||||
\(972\) | 1.74609 | + | 0.975274i | 0.0560060 | + | 0.0312819i | ||||
\(973\) | 22.5111 | + | 11.4700i | 0.721671 | + | 0.367710i | ||||
\(974\) | −32.7761 | + | 22.8711i | −1.05021 | + | 0.732838i | ||||
\(975\) | 7.59381 | − | 2.25701i | 0.243197 | − | 0.0722823i | ||||
\(976\) | −8.98832 | − | 7.64176i | −0.287709 | − | 0.244607i | ||||
\(977\) | 12.5647 | − | 24.6595i | 0.401979 | − | 0.788928i | −0.597942 | − | 0.801540i | \(-0.704015\pi\) |
0.999920 | + | 0.0126118i | \(0.00401455\pi\) | |||||||
\(978\) | 3.35757 | + | 6.91239i | 0.107363 | + | 0.221034i | ||||
\(979\) | −6.23174 | + | 4.52762i | −0.199167 | + | 0.144703i | ||||
\(980\) | 8.46821 | − | 14.7214i | 0.270507 | − | 0.470256i | ||||
\(981\) | 7.97850 | + | 5.79672i | 0.254734 | + | 0.185075i | ||||
\(982\) | 2.54154 | − | 14.2787i | 0.0811038 | − | 0.455651i | ||||
\(983\) | 8.49682 | + | 53.6468i | 0.271006 | + | 1.71107i | 0.629053 | + | 0.777363i | \(0.283443\pi\) |
−0.358046 | + | 0.933704i | \(0.616557\pi\) | |||||||
\(984\) | 20.5174 | + | 1.17515i | 0.654072 | + | 0.0374625i | ||||
\(985\) | −14.9680 | − | 21.1585i | −0.476921 | − | 0.674167i | ||||
\(986\) | 25.0620 | + | 18.9492i | 0.798135 | + | 0.603465i | ||||
\(987\) | 0.0306188 | + | 0.0600927i | 0.000974606 | + | 0.00191277i | ||||
\(988\) | −1.94491 | − | 16.2752i | −0.0618759 | − | 0.517784i | ||||
\(989\) | 16.1397 | − | 5.24411i | 0.513213 | − | 0.166753i | ||||
\(990\) | 5.00227 | − | 6.44511i | 0.158983 | − | 0.204839i | ||||
\(991\) | 21.6353 | + | 7.02975i | 0.687269 | + | 0.223307i | 0.631775 | − | 0.775152i | \(-0.282327\pi\) |
0.0554940 | + | 0.998459i | \(0.482327\pi\) | |||||||
\(992\) | 33.3051 | − | 2.05835i | 1.05744 | − | 0.0653526i | ||||
\(993\) | −22.2871 | + | 22.2871i | −0.707259 | + | 0.707259i | ||||
\(994\) | 0.146266 | − | 7.66857i | 0.00463927 | − | 0.243232i | ||||
\(995\) | 13.0344 | + | 13.3679i | 0.413219 | + | 0.423790i | ||||
\(996\) | −4.61446 | − | 16.2913i | −0.146215 | − | 0.516210i | ||||
\(997\) | 17.7115 | + | 2.80523i | 0.560929 | + | 0.0888425i | 0.430460 | − | 0.902610i | \(-0.358351\pi\) |
0.130470 | + | 0.991452i | \(0.458351\pi\) | |||||||
\(998\) | 2.42020 | + | 17.4251i | 0.0766100 | + | 0.551582i | ||||
\(999\) | −9.54552 | −0.302007 |
(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 | 300.2.w.a.67.15 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.16 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.26 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.5 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.26 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.5 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.15 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.16 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.15 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.26 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.15 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.26 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.5 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.16 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.5 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.16 | 240 | 300.203 | odd | 20 |