Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 67.10 | ||
Character | \(\chi\) | \(=\) | 230.67 |
Dual form | 230.2.l.a.103.10 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.212565 | + | 0.977147i | 0.150306 | + | 0.690947i | ||||
\(3\) | 0.521893 | + | 0.390684i | 0.301315 | + | 0.225561i | 0.739227 | − | 0.673456i | \(-0.235191\pi\) |
−0.437912 | + | 0.899018i | \(0.644282\pi\) | |||||||
\(4\) | −0.909632 | + | 0.415415i | −0.454816 | + | 0.207708i | ||||
\(5\) | −0.172358 | + | 2.22942i | −0.0770808 | + | 0.997025i | ||||
\(6\) | −0.270819 | + | 0.593012i | −0.110562 | + | 0.242096i | ||||
\(7\) | 0.196919 | + | 2.75328i | 0.0744282 | + | 1.04064i | 0.888200 | + | 0.459458i | \(0.151956\pi\) |
−0.813772 | + | 0.581185i | \(0.802589\pi\) | |||||||
\(8\) | −0.599278 | − | 0.800541i | −0.211877 | − | 0.283034i | ||||
\(9\) | −0.725460 | − | 2.47069i | −0.241820 | − | 0.823563i | ||||
\(10\) | −2.21510 | + | 0.305477i | −0.700477 | + | 0.0966004i | ||||
\(11\) | −0.171272 | − | 0.266505i | −0.0516406 | − | 0.0803543i | 0.814473 | − | 0.580201i | \(-0.197026\pi\) |
−0.866114 | + | 0.499847i | \(0.833390\pi\) | |||||||
\(12\) | −0.637026 | − | 0.138577i | −0.183894 | − | 0.0400036i | ||||
\(13\) | −0.610881 | − | 0.0436911i | −0.169428 | − | 0.0121177i | −0.0136325 | − | 0.999907i | \(-0.504339\pi\) |
−0.155795 | + | 0.987789i | \(0.549794\pi\) | |||||||
\(14\) | −2.64850 | + | 0.777670i | −0.707842 | + | 0.207841i | ||||
\(15\) | −0.960949 | + | 1.09618i | −0.248116 | + | 0.283032i | ||||
\(16\) | 0.654861 | − | 0.755750i | 0.163715 | − | 0.188937i | ||||
\(17\) | 0.930625 | + | 2.49510i | 0.225710 | + | 0.605151i | 0.999603 | − | 0.0281645i | \(-0.00896622\pi\) |
−0.773894 | + | 0.633316i | \(0.781693\pi\) | |||||||
\(18\) | 2.26002 | − | 1.23406i | 0.532691 | − | 0.290872i | ||||
\(19\) | 1.33902 | + | 2.93205i | 0.307193 | + | 0.672658i | 0.998767 | − | 0.0496475i | \(-0.0158098\pi\) |
−0.691574 | + | 0.722305i | \(0.743083\pi\) | |||||||
\(20\) | −0.769350 | − | 2.09955i | −0.172032 | − | 0.469473i | ||||
\(21\) | −0.972892 | + | 1.51385i | −0.212303 | + | 0.330349i | ||||
\(22\) | 0.224008 | − | 0.224008i | 0.0477587 | − | 0.0477587i | ||||
\(23\) | 4.61891 | + | 1.29062i | 0.963109 | + | 0.269113i | ||||
\(24\) | − | 0.651925i | − | 0.133074i | ||||||
\(25\) | −4.94059 | − | 0.768515i | −0.988117 | − | 0.153703i | ||||
\(26\) | −0.0871595 | − | 0.606208i | −0.0170934 | − | 0.118887i | ||||
\(27\) | 1.27012 | − | 3.40532i | 0.244435 | − | 0.655354i | ||||
\(28\) | −1.32288 | − | 2.42267i | −0.250000 | − | 0.457842i | ||||
\(29\) | 5.55597 | + | 2.53733i | 1.03172 | + | 0.471170i | 0.858013 | − | 0.513628i | \(-0.171699\pi\) |
0.173705 | + | 0.984798i | \(0.444426\pi\) | |||||||
\(30\) | −1.27539 | − | 0.705979i | −0.232854 | − | 0.128894i | ||||
\(31\) | 1.29230 | − | 8.98814i | 0.232104 | − | 1.61432i | −0.456871 | − | 0.889533i | \(-0.651030\pi\) |
0.688975 | − | 0.724785i | \(-0.258061\pi\) | |||||||
\(32\) | 0.877679 | + | 0.479249i | 0.155153 | + | 0.0847201i | ||||
\(33\) | 0.0147334 | − | 0.206000i | 0.00256476 | − | 0.0358601i | ||||
\(34\) | −2.24026 | + | 1.43973i | −0.384202 | + | 0.246912i | ||||
\(35\) | −6.17215 | − | 0.0355368i | −1.04328 | − | 0.00600682i | ||||
\(36\) | 1.68626 | + | 1.94605i | 0.281044 | + | 0.324342i | ||||
\(37\) | 1.15696 | − | 2.11882i | 0.190204 | − | 0.348332i | −0.765123 | − | 0.643884i | \(-0.777322\pi\) |
0.955327 | + | 0.295552i | \(0.0955036\pi\) | |||||||
\(38\) | −2.58041 | + | 1.93167i | −0.418598 | + | 0.313359i | ||||
\(39\) | −0.301745 | − | 0.261463i | −0.0483178 | − | 0.0418676i | ||||
\(40\) | 1.88803 | − | 1.19806i | 0.298524 | − | 0.189430i | ||||
\(41\) | −7.62326 | − | 2.23839i | −1.19055 | − | 0.349578i | −0.374320 | − | 0.927300i | \(-0.622124\pi\) |
−0.816234 | + | 0.577722i | \(0.803942\pi\) | |||||||
\(42\) | −1.68606 | − | 0.628867i | −0.260164 | − | 0.0970362i | ||||
\(43\) | 6.26113 | − | 8.36389i | 0.954814 | − | 1.27548i | −0.00648654 | − | 0.999979i | \(-0.502065\pi\) |
0.961300 | − | 0.275503i | \(-0.0888443\pi\) | |||||||
\(44\) | 0.266505 | + | 0.171272i | 0.0401772 | + | 0.0258203i | ||||
\(45\) | 5.63323 | − | 1.19151i | 0.839752 | − | 0.177620i | ||||
\(46\) | −0.279308 | + | 4.78769i | −0.0411818 | + | 0.705907i | ||||
\(47\) | 4.91328 | + | 4.91328i | 0.716675 | + | 0.716675i | 0.967923 | − | 0.251248i | \(-0.0808409\pi\) |
−0.251248 | + | 0.967923i | \(0.580841\pi\) | |||||||
\(48\) | 0.637026 | − | 0.138577i | 0.0919468 | − | 0.0200018i | ||||
\(49\) | −0.613031 | + | 0.0881405i | −0.0875758 | + | 0.0125915i | ||||
\(50\) | −0.299245 | − | 4.99104i | −0.0423196 | − | 0.705839i | ||||
\(51\) | −0.489110 | + | 1.66576i | −0.0684891 | + | 0.233252i | ||||
\(52\) | 0.573827 | − | 0.214026i | 0.0795755 | − | 0.0296801i | ||||
\(53\) | 5.77904 | − | 0.413325i | 0.793812 | − | 0.0567746i | 0.331458 | − | 0.943470i | \(-0.392459\pi\) |
0.462354 | + | 0.886695i | \(0.347005\pi\) | |||||||
\(54\) | 3.59748 | + | 0.517240i | 0.489555 | + | 0.0703874i | ||||
\(55\) | 0.623671 | − | 0.335903i | 0.0840957 | − | 0.0452932i | ||||
\(56\) | 2.08611 | − | 1.80762i | 0.278768 | − | 0.241554i | ||||
\(57\) | −0.446679 | + | 2.05335i | −0.0591640 | + | 0.271973i | ||||
\(58\) | −1.29834 | + | 5.96835i | −0.170480 | + | 0.783683i | ||||
\(59\) | −3.03630 | + | 2.63097i | −0.395292 | + | 0.342523i | −0.829716 | − | 0.558186i | \(-0.811498\pi\) |
0.434424 | + | 0.900709i | \(0.356952\pi\) | |||||||
\(60\) | 0.418741 | − | 1.39631i | 0.0540593 | − | 0.180263i | ||||
\(61\) | −10.7039 | − | 1.53899i | −1.37050 | − | 0.197048i | −0.582553 | − | 0.812793i | \(-0.697946\pi\) |
−0.787945 | + | 0.615745i | \(0.788855\pi\) | |||||||
\(62\) | 9.05743 | − | 0.647801i | 1.15030 | − | 0.0822707i | ||||
\(63\) | 6.65964 | − | 2.48392i | 0.839036 | − | 0.312944i | ||||
\(64\) | −0.281733 | + | 0.959493i | −0.0352166 | + | 0.119937i | ||||
\(65\) | 0.202696 | − | 1.35438i | 0.0251413 | − | 0.167990i | ||||
\(66\) | 0.204424 | − | 0.0293918i | 0.0251629 | − | 0.00361788i | ||||
\(67\) | 7.50837 | − | 1.63335i | 0.917294 | − | 0.199545i | 0.270952 | − | 0.962593i | \(-0.412662\pi\) |
0.646342 | + | 0.763048i | \(0.276298\pi\) | |||||||
\(68\) | −1.88303 | − | 1.88303i | −0.228351 | − | 0.228351i | ||||
\(69\) | 1.90635 | + | 2.47810i | 0.229497 | + | 0.298328i | ||||
\(70\) | −1.27726 | − | 6.03865i | −0.152662 | − | 0.721757i | ||||
\(71\) | 7.02619 | + | 4.51545i | 0.833855 | + | 0.535886i | 0.886501 | − | 0.462727i | \(-0.153129\pi\) |
−0.0526459 | + | 0.998613i | \(0.516765\pi\) | |||||||
\(72\) | −1.54314 | + | 2.06139i | −0.181860 | + | 0.242937i | ||||
\(73\) | −9.02358 | − | 3.36562i | −1.05613 | − | 0.393916i | −0.239391 | − | 0.970923i | \(-0.576948\pi\) |
−0.816739 | + | 0.577007i | \(0.804220\pi\) | |||||||
\(74\) | 2.31633 | + | 0.680136i | 0.269268 | + | 0.0790642i | ||||
\(75\) | −2.27821 | − | 2.33129i | −0.263065 | − | 0.269194i | ||||
\(76\) | −2.43603 | − | 2.11083i | −0.279432 | − | 0.242129i | ||||
\(77\) | 0.700037 | − | 0.524041i | 0.0797766 | − | 0.0597200i | ||||
\(78\) | 0.191348 | − | 0.350427i | 0.0216659 | − | 0.0396781i | ||||
\(79\) | −4.91108 | − | 5.66768i | −0.552539 | − | 0.637664i | 0.408934 | − | 0.912564i | \(-0.365901\pi\) |
−0.961473 | + | 0.274900i | \(0.911355\pi\) | |||||||
\(80\) | 1.57201 | + | 1.59022i | 0.175756 | + | 0.177792i | ||||
\(81\) | −4.50540 | + | 2.89544i | −0.500600 | + | 0.321716i | ||||
\(82\) | 0.566796 | − | 7.92485i | 0.0625922 | − | 0.875153i | ||||
\(83\) | 0.897247 | + | 0.489934i | 0.0984857 | + | 0.0537772i | 0.527737 | − | 0.849408i | \(-0.323041\pi\) |
−0.429251 | + | 0.903185i | \(0.641223\pi\) | |||||||
\(84\) | 0.256098 | − | 1.78120i | 0.0279426 | − | 0.194345i | ||||
\(85\) | −5.72302 | + | 1.64470i | −0.620749 | + | 0.178393i | ||||
\(86\) | 9.50365 | + | 4.34017i | 1.02481 | + | 0.468013i | ||||
\(87\) | 1.90833 | + | 3.49484i | 0.204594 | + | 0.374686i | ||||
\(88\) | −0.110709 | + | 0.296821i | −0.0118016 | + | 0.0316412i | ||||
\(89\) | −0.532679 | − | 3.70486i | −0.0564638 | − | 0.392715i | −0.998382 | − | 0.0568709i | \(-0.981888\pi\) |
0.941918 | − | 0.335844i | \(-0.109021\pi\) | |||||||
\(90\) | 2.36171 | + | 5.25122i | 0.248946 | + | 0.553527i | ||||
\(91\) | − | 1.69053i | − | 0.177216i | ||||||
\(92\) | −4.73765 | + | 0.744772i | −0.493934 | + | 0.0776478i | ||||
\(93\) | 4.18596 | − | 4.18596i | 0.434064 | − | 0.434064i | ||||
\(94\) | −3.75660 | + | 5.84539i | −0.387464 | + | 0.602905i | ||||
\(95\) | −6.76754 | + | 2.47987i | −0.694335 | + | 0.254430i | ||||
\(96\) | 0.270819 | + | 0.593012i | 0.0276404 | + | 0.0605240i | ||||
\(97\) | −10.5739 | + | 5.77381i | −1.07362 | + | 0.586241i | −0.915967 | − | 0.401253i | \(-0.868575\pi\) |
−0.157654 | + | 0.987494i | \(0.550393\pi\) | |||||||
\(98\) | −0.216435 | − | 0.580286i | −0.0218633 | − | 0.0586177i | ||||
\(99\) | −0.534200 | + | 0.616500i | −0.0536891 | + | 0.0619605i | ||||
\(100\) | 4.81337 | − | 1.35333i | 0.481337 | − | 0.135333i | ||||
\(101\) | −8.74877 | + | 2.56887i | −0.870535 | + | 0.255612i | −0.686343 | − | 0.727278i | \(-0.740785\pi\) |
−0.184192 | + | 0.982890i | \(0.558967\pi\) | |||||||
\(102\) | −1.73166 | − | 0.123850i | −0.171459 | − | 0.0122630i | ||||
\(103\) | 4.51246 | + | 0.981625i | 0.444626 | + | 0.0967224i | 0.429304 | − | 0.903160i | \(-0.358759\pi\) |
0.0153220 | + | 0.999883i | \(0.495123\pi\) | |||||||
\(104\) | 0.331111 | + | 0.515218i | 0.0324681 | + | 0.0505213i | ||||
\(105\) | −3.20731 | − | 2.42991i | −0.313002 | − | 0.237134i | ||||
\(106\) | 1.63230 | + | 5.55911i | 0.158543 | + | 0.539949i | ||||
\(107\) | 2.96493 | + | 3.96069i | 0.286631 | + | 0.382894i | 0.920628 | − | 0.390442i | \(-0.127678\pi\) |
−0.633997 | + | 0.773336i | \(0.718587\pi\) | |||||||
\(108\) | 0.259281 | + | 3.62522i | 0.0249493 | + | 0.348837i | ||||
\(109\) | −3.31324 | + | 7.25499i | −0.317351 | + | 0.694902i | −0.999335 | − | 0.0364655i | \(-0.988390\pi\) |
0.681984 | + | 0.731367i | \(0.261117\pi\) | |||||||
\(110\) | 0.460797 | + | 0.538017i | 0.0439353 | + | 0.0512979i | ||||
\(111\) | 1.43160 | − | 0.653790i | 0.135882 | − | 0.0620550i | ||||
\(112\) | 2.20975 | + | 1.65419i | 0.208801 | + | 0.156307i | ||||
\(113\) | −1.30428 | − | 5.99568i | −0.122696 | − | 0.564026i | −0.996915 | − | 0.0784929i | \(-0.974989\pi\) |
0.874218 | − | 0.485533i | \(-0.161374\pi\) | |||||||
\(114\) | −2.10137 | −0.196811 | ||||||||
\(115\) | −3.67344 | + | 10.0750i | −0.342550 | + | 0.939500i | ||||
\(116\) | −6.10794 | −0.567108 | ||||||||
\(117\) | 0.335222 | + | 1.54099i | 0.0309913 | + | 0.142465i | ||||
\(118\) | −3.21625 | − | 2.40766i | −0.296080 | − | 0.221643i | ||||
\(119\) | −6.68646 | + | 3.05360i | −0.612947 | + | 0.279923i | ||||
\(120\) | 1.45341 | + | 0.112364i | 0.132678 | + | 0.0102574i | ||||
\(121\) | 4.52787 | − | 9.91466i | 0.411625 | − | 0.901333i | ||||
\(122\) | −0.771462 | − | 10.7865i | −0.0698449 | − | 0.976559i | ||||
\(123\) | −3.10402 | − | 4.14648i | −0.279880 | − | 0.373876i | ||||
\(124\) | 2.55829 | + | 8.71274i | 0.229741 | + | 0.782428i | ||||
\(125\) | 2.56489 | − | 10.8822i | 0.229411 | − | 0.973330i | ||||
\(126\) | 3.84276 | + | 5.97946i | 0.342341 | + | 0.532692i | ||||
\(127\) | −13.1458 | − | 2.85969i | −1.16650 | − | 0.253757i | −0.412704 | − | 0.910865i | \(-0.635416\pi\) |
−0.753796 | + | 0.657109i | \(0.771779\pi\) | |||||||
\(128\) | −0.997452 | − | 0.0713392i | −0.0881631 | − | 0.00630555i | ||||
\(129\) | 6.53528 | − | 1.91893i | 0.575399 | − | 0.168952i | ||||
\(130\) | 1.36651 | − | 0.0898300i | 0.119851 | − | 0.00787861i | ||||
\(131\) | −7.65537 | + | 8.83477i | −0.668853 | + | 0.771897i | −0.984196 | − | 0.177080i | \(-0.943335\pi\) |
0.315344 | + | 0.948978i | \(0.397880\pi\) | |||||||
\(132\) | 0.0721737 | + | 0.193505i | 0.00628191 | + | 0.0168425i | ||||
\(133\) | −7.80907 | + | 4.26408i | −0.677133 | + | 0.369742i | ||||
\(134\) | 3.19204 | + | 6.98959i | 0.275750 | + | 0.603809i | ||||
\(135\) | 7.37296 | + | 3.41856i | 0.634563 | + | 0.294223i | ||||
\(136\) | 1.43973 | − | 2.24026i | 0.123456 | − | 0.192101i | ||||
\(137\) | −12.9973 | + | 12.9973i | −1.11044 | + | 1.11044i | −0.117346 | + | 0.993091i | \(0.537439\pi\) |
−0.993091 | + | 0.117346i | \(0.962561\pi\) | |||||||
\(138\) | −2.01624 | + | 2.38954i | −0.171634 | + | 0.203411i | ||||
\(139\) | 6.25498i | 0.530540i | 0.964174 | + | 0.265270i | \(0.0854612\pi\) | ||||
−0.964174 | + | 0.265270i | \(0.914539\pi\) | |||||||
\(140\) | 5.62915 | − | 2.53168i | 0.475750 | − | 0.213966i | ||||
\(141\) | 0.644665 | + | 4.48374i | 0.0542906 | + | 0.377599i | ||||
\(142\) | −2.91874 | + | 7.82544i | −0.244935 | + | 0.656697i | ||||
\(143\) | 0.0929832 | + | 0.170286i | 0.00777564 | + | 0.0142400i | ||||
\(144\) | −2.34230 | − | 1.06969i | −0.195191 | − | 0.0891409i | ||||
\(145\) | −6.61438 | + | 11.9492i | −0.549294 | + | 0.992331i | ||||
\(146\) | 1.37061 | − | 9.53277i | 0.113432 | − | 0.788938i | ||||
\(147\) | −0.354371 | − | 0.193501i | −0.0292281 | − | 0.0159597i | ||||
\(148\) | −0.172221 | + | 2.40797i | −0.0141565 | + | 0.197934i | ||||
\(149\) | 16.6602 | − | 10.7069i | 1.36486 | − | 0.877141i | 0.366283 | − | 0.930504i | \(-0.380630\pi\) |
0.998575 | + | 0.0533626i | \(0.0169939\pi\) | |||||||
\(150\) | 1.79374 | − | 2.72170i | 0.146459 | − | 0.222226i | ||||
\(151\) | −3.91387 | − | 4.51685i | −0.318506 | − | 0.367576i | 0.573808 | − | 0.818990i | \(-0.305465\pi\) |
−0.892315 | + | 0.451413i | \(0.850920\pi\) | |||||||
\(152\) | 1.54478 | − | 2.82905i | 0.125298 | − | 0.229466i | ||||
\(153\) | 5.48949 | − | 4.10938i | 0.443799 | − | 0.332224i | ||||
\(154\) | 0.660868 | + | 0.572646i | 0.0532543 | + | 0.0461451i | ||||
\(155\) | 19.8156 | + | 4.43025i | 1.59162 | + | 0.355846i | ||||
\(156\) | 0.383093 | + | 0.112486i | 0.0306720 | + | 0.00900610i | ||||
\(157\) | −13.3732 | − | 4.98794i | −1.06730 | − | 0.398081i | −0.246406 | − | 0.969167i | \(-0.579250\pi\) |
−0.820891 | + | 0.571085i | \(0.806522\pi\) | |||||||
\(158\) | 4.49423 | − | 6.00359i | 0.357542 | − | 0.477620i | ||||
\(159\) | 3.17752 | + | 2.04207i | 0.251994 | + | 0.161946i | ||||
\(160\) | −1.21972 | + | 1.87411i | −0.0964273 | + | 0.148161i | ||||
\(161\) | −2.64390 | + | 12.9713i | −0.208368 | + | 1.02228i | ||||
\(162\) | −3.78697 | − | 3.78697i | −0.297532 | − | 0.297532i | ||||
\(163\) | 11.5926 | − | 2.52181i | 0.908002 | − | 0.197524i | 0.265772 | − | 0.964036i | \(-0.414373\pi\) |
0.642230 | + | 0.766512i | \(0.278010\pi\) | |||||||
\(164\) | 7.86422 | − | 1.13070i | 0.614093 | − | 0.0882932i | ||||
\(165\) | 0.456721 | + | 0.0683528i | 0.0355557 | + | 0.00532126i | ||||
\(166\) | −0.288014 | + | 0.980885i | −0.0223542 | + | 0.0761314i | ||||
\(167\) | 12.5211 | − | 4.67014i | 0.968914 | − | 0.361386i | 0.185333 | − | 0.982676i | \(-0.440664\pi\) |
0.783581 | + | 0.621290i | \(0.213391\pi\) | |||||||
\(168\) | 1.79493 | − | 0.128376i | 0.138482 | − | 0.00990443i | ||||
\(169\) | −12.4964 | − | 1.79671i | −0.961262 | − | 0.138209i | ||||
\(170\) | −2.82363 | − | 5.24262i | −0.216562 | − | 0.402091i | ||||
\(171\) | 6.27277 | − | 5.43539i | 0.479691 | − | 0.415654i | ||||
\(172\) | −2.22084 | + | 10.2090i | −0.169337 | + | 0.778432i | ||||
\(173\) | −2.47939 | + | 11.3976i | −0.188504 | + | 0.866541i | 0.781586 | + | 0.623797i | \(0.214411\pi\) |
−0.970091 | + | 0.242743i | \(0.921953\pi\) | |||||||
\(174\) | −3.00933 | + | 2.60760i | −0.228137 | + | 0.197682i | ||||
\(175\) | 1.14305 | − | 13.7542i | 0.0864061 | − | 1.03972i | ||||
\(176\) | −0.313571 | − | 0.0450847i | −0.0236363 | − | 0.00339838i | ||||
\(177\) | −2.61250 | + | 0.186849i | −0.196367 | + | 0.0140445i | ||||
\(178\) | 3.50697 | − | 1.30803i | 0.262858 | − | 0.0980410i | ||||
\(179\) | 2.86500 | − | 9.75728i | 0.214140 | − | 0.729293i | −0.780432 | − | 0.625241i | \(-0.785001\pi\) |
0.994572 | − | 0.104053i | \(-0.0331810\pi\) | |||||||
\(180\) | −4.62920 | + | 3.42396i | −0.345040 | + | 0.255207i | ||||
\(181\) | 17.5918 | − | 2.52932i | 1.30759 | − | 0.188003i | 0.546942 | − | 0.837170i | \(-0.315792\pi\) |
0.760646 | + | 0.649167i | \(0.224883\pi\) | |||||||
\(182\) | 1.65190 | − | 0.359348i | 0.122447 | − | 0.0266367i | ||||
\(183\) | −4.98504 | − | 4.98504i | −0.368505 | − | 0.368505i | ||||
\(184\) | −1.73481 | − | 4.47107i | −0.127892 | − | 0.329611i | ||||
\(185\) | 4.52432 | + | 2.94455i | 0.332635 | + | 0.216488i | ||||
\(186\) | 4.98009 | + | 3.20051i | 0.365158 | + | 0.234673i | ||||
\(187\) | 0.505567 | − | 0.675358i | 0.0369707 | − | 0.0493871i | ||||
\(188\) | −6.51032 | − | 2.42822i | −0.474814 | − | 0.177097i | ||||
\(189\) | 9.62592 | + | 2.82642i | 0.700183 | + | 0.205592i | ||||
\(190\) | −3.86174 | − | 6.08575i | −0.280160 | − | 0.441507i | ||||
\(191\) | −10.0659 | − | 8.72213i | −0.728341 | − | 0.631111i | 0.209648 | − | 0.977777i | \(-0.432768\pi\) |
−0.937989 | + | 0.346666i | \(0.887314\pi\) | |||||||
\(192\) | −0.521893 | + | 0.390684i | −0.0376644 | + | 0.0281952i | ||||
\(193\) | −11.1731 | + | 20.4619i | −0.804255 | + | 1.47288i | 0.0753387 | + | 0.997158i | \(0.475996\pi\) |
−0.879594 | + | 0.475725i | \(0.842186\pi\) | |||||||
\(194\) | −7.88951 | − | 9.10498i | −0.566434 | − | 0.653699i | ||||
\(195\) | 0.634919 | − | 0.627649i | 0.0454675 | − | 0.0449469i | ||||
\(196\) | 0.521018 | − | 0.334838i | 0.0372155 | − | 0.0239170i | ||||
\(197\) | 1.16021 | − | 16.2218i | 0.0826614 | − | 1.15576i | −0.771668 | − | 0.636025i | \(-0.780577\pi\) |
0.854330 | − | 0.519732i | \(-0.173968\pi\) | |||||||
\(198\) | −0.715963 | − | 0.390945i | −0.0508813 | − | 0.0277833i | ||||
\(199\) | 1.06727 | − | 7.42305i | 0.0756570 | − | 0.526206i | −0.916385 | − | 0.400298i | \(-0.868907\pi\) |
0.992042 | − | 0.125908i | \(-0.0401843\pi\) | |||||||
\(200\) | 2.34555 | + | 4.41570i | 0.165856 | + | 0.312237i | ||||
\(201\) | 4.55669 | + | 2.08097i | 0.321404 | + | 0.146780i | ||||
\(202\) | −4.36985 | − | 8.00278i | −0.307461 | − | 0.563073i | ||||
\(203\) | −5.89190 | + | 15.7968i | −0.413531 | + | 1.10872i | ||||
\(204\) | −0.247070 | − | 1.71841i | −0.0172983 | − | 0.120313i | ||||
\(205\) | 6.30423 | − | 16.6096i | 0.440307 | − | 1.16007i | ||||
\(206\) | 4.61799i | 0.321751i | ||||||||
\(207\) | −0.162104 | − | 12.3482i | −0.0112670 | − | 0.858257i | ||||
\(208\) | −0.433061 | + | 0.433061i | −0.0300274 | + | 0.0300274i | ||||
\(209\) | 0.552068 | − | 0.859035i | 0.0381874 | − | 0.0594207i | ||||
\(210\) | 1.69261 | − | 3.65053i | 0.116801 | − | 0.251911i | ||||
\(211\) | −9.66421 | − | 21.1617i | −0.665312 | − | 1.45683i | −0.877488 | − | 0.479598i | \(-0.840783\pi\) |
0.212177 | − | 0.977231i | \(-0.431945\pi\) | |||||||
\(212\) | −5.08510 | + | 2.77667i | −0.349246 | + | 0.190703i | ||||
\(213\) | 1.90280 | + | 5.10160i | 0.130378 | + | 0.349556i | ||||
\(214\) | −3.23993 | + | 3.73908i | −0.221477 | + | 0.255598i | ||||
\(215\) | 17.5674 | + | 15.4002i | 1.19809 | + | 1.05029i | ||||
\(216\) | −3.48725 | + | 1.02395i | −0.237278 | + | 0.0696710i | ||||
\(217\) | 25.0014 | + | 1.78813i | 1.69720 | + | 0.121386i | ||||
\(218\) | −7.79347 | − | 1.69536i | −0.527840 | − | 0.114825i | ||||
\(219\) | −3.39444 | − | 5.28186i | −0.229375 | − | 0.356915i | ||||
\(220\) | −0.427772 | + | 0.564630i | −0.0288404 | + | 0.0380674i | ||||
\(221\) | −0.459487 | − | 1.56487i | −0.0309085 | − | 0.105265i | ||||
\(222\) | 0.943158 | + | 1.25991i | 0.0633006 | + | 0.0845597i | ||||
\(223\) | 0.472013 | + | 6.59961i | 0.0316083 | + | 0.441942i | 0.988472 | + | 0.151405i | \(0.0483796\pi\) |
−0.956864 | + | 0.290538i | \(0.906166\pi\) | |||||||
\(224\) | −1.14668 | + | 2.51087i | −0.0766155 | + | 0.167765i | ||||
\(225\) | 1.68543 | + | 12.7642i | 0.112362 | + | 0.850945i | ||||
\(226\) | 5.58141 | − | 2.54895i | 0.371270 | − | 0.169553i | ||||
\(227\) | 11.0560 | + | 8.27641i | 0.733812 | + | 0.549325i | 0.899536 | − | 0.436847i | \(-0.143905\pi\) |
−0.165724 | + | 0.986172i | \(0.552996\pi\) | |||||||
\(228\) | −0.446679 | − | 2.05335i | −0.0295820 | − | 0.135986i | ||||
\(229\) | 22.9134 | 1.51416 | 0.757080 | − | 0.653322i | \(-0.226625\pi\) | ||||
0.757080 | + | 0.653322i | \(0.226625\pi\) | |||||||
\(230\) | −10.6256 | − | 1.44789i | −0.700632 | − | 0.0954711i | ||||
\(231\) | 0.570078 | 0.0375084 | ||||||||
\(232\) | −1.29834 | − | 5.96835i | −0.0852399 | − | 0.391841i | ||||
\(233\) | 1.89415 | + | 1.41794i | 0.124090 | + | 0.0928926i | 0.659520 | − | 0.751687i | \(-0.270760\pi\) |
−0.535430 | + | 0.844580i | \(0.679850\pi\) | |||||||
\(234\) | −1.43452 | + | 0.655123i | −0.0937775 | + | 0.0428267i | ||||
\(235\) | −11.8006 | + | 10.1069i | −0.769785 | + | 0.659301i | ||||
\(236\) | 1.66897 | − | 3.65453i | 0.108641 | − | 0.237890i | ||||
\(237\) | −0.348781 | − | 4.87660i | −0.0226558 | − | 0.316769i | ||||
\(238\) | −4.40513 | − | 5.88456i | −0.285542 | − | 0.381440i | ||||
\(239\) | −5.05977 | − | 17.2320i | −0.327290 | − | 1.11465i | −0.944681 | − | 0.327990i | \(-0.893629\pi\) |
0.617392 | − | 0.786656i | \(-0.288189\pi\) | |||||||
\(240\) | 0.199148 | + | 1.44408i | 0.0128550 | + | 0.0932150i | ||||
\(241\) | −0.312423 | − | 0.486139i | −0.0201249 | − | 0.0313150i | 0.831045 | − | 0.556205i | \(-0.187743\pi\) |
−0.851170 | + | 0.524890i | \(0.824107\pi\) | |||||||
\(242\) | 10.6505 | + | 2.31689i | 0.684643 | + | 0.148935i | ||||
\(243\) | −14.3582 | − | 1.02692i | −0.921078 | − | 0.0658768i | ||||
\(244\) | 10.3760 | − | 3.04666i | 0.664253 | − | 0.195042i | ||||
\(245\) | −0.0908411 | − | 1.38189i | −0.00580362 | − | 0.0882859i | ||||
\(246\) | 3.39192 | − | 3.91448i | 0.216261 | − | 0.249578i | ||||
\(247\) | −0.689878 | − | 1.84964i | −0.0438959 | − | 0.117689i | ||||
\(248\) | −7.96983 | + | 4.35185i | −0.506084 | + | 0.276343i | ||||
\(249\) | 0.276857 | + | 0.606233i | 0.0175451 | + | 0.0384184i | ||||
\(250\) | 11.1787 | + | 0.193104i | 0.707001 | + | 0.0122130i | ||||
\(251\) | 3.97999 | − | 6.19299i | 0.251215 | − | 0.390898i | −0.692627 | − | 0.721296i | \(-0.743547\pi\) |
0.943842 | + | 0.330398i | \(0.107183\pi\) | |||||||
\(252\) | −5.02597 | + | 5.02597i | −0.316606 | + | 0.316606i | ||||
\(253\) | −0.447134 | − | 1.45201i | −0.0281111 | − | 0.0912871i | ||||
\(254\) | − | 13.4532i | − | 0.844131i | ||||||
\(255\) | −3.62936 | − | 1.37754i | −0.227279 | − | 0.0862646i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 2.46321 | − | 6.60411i | 0.153651 | − | 0.411953i | −0.837203 | − | 0.546892i | \(-0.815811\pi\) |
0.990854 | + | 0.134938i | \(0.0430837\pi\) | |||||||
\(258\) | 3.26425 | + | 5.97803i | 0.203223 | + | 0.372176i | ||||
\(259\) | 6.06154 | + | 2.76821i | 0.376646 | + | 0.172008i | ||||
\(260\) | 0.378250 | + | 1.31619i | 0.0234581 | + | 0.0816265i | ||||
\(261\) | 2.23831 | − | 15.5678i | 0.138548 | − | 0.963624i | ||||
\(262\) | −10.2601 | − | 5.60246i | −0.633873 | − | 0.346121i | ||||
\(263\) | −1.27433 | + | 17.8175i | −0.0785787 | + | 1.09867i | 0.793261 | + | 0.608882i | \(0.208382\pi\) |
−0.871839 | + | 0.489792i | \(0.837073\pi\) | |||||||
\(264\) | −0.173741 | + | 0.111657i | −0.0106930 | + | 0.00687200i | ||||
\(265\) | −0.0745905 | + | 12.9551i | −0.00458206 | + | 0.795827i | ||||
\(266\) | −5.82657 | − | 6.72422i | −0.357250 | − | 0.412288i | ||||
\(267\) | 1.16943 | − | 2.14165i | 0.0715679 | − | 0.131067i | ||||
\(268\) | −6.15134 | + | 4.60484i | −0.375753 | + | 0.281285i | ||||
\(269\) | −13.3924 | − | 11.6046i | −0.816550 | − | 0.707545i | 0.142803 | − | 0.989751i | \(-0.454388\pi\) |
−0.959354 | + | 0.282206i | \(0.908934\pi\) | |||||||
\(270\) | −1.77320 | + | 7.93113i | −0.107913 | + | 0.482673i | ||||
\(271\) | 27.9409 | + | 8.20418i | 1.69729 | + | 0.498368i | 0.980098 | − | 0.198512i | \(-0.0636109\pi\) |
0.717188 | + | 0.696880i | \(0.245429\pi\) | |||||||
\(272\) | 2.49510 | + | 0.930625i | 0.151288 | + | 0.0564274i | ||||
\(273\) | 0.660463 | − | 0.882275i | 0.0399730 | − | 0.0533977i | ||||
\(274\) | −15.4631 | − | 9.93752i | −0.934159 | − | 0.600348i | ||||
\(275\) | 0.641373 | + | 1.44832i | 0.0386762 | + | 0.0873368i | ||||
\(276\) | −2.76351 | − | 1.46223i | −0.166344 | − | 0.0880160i | ||||
\(277\) | −16.6398 | − | 16.6398i | −0.999786 | − | 0.999786i | 0.000213691 | − | 1.00000i | \(-0.499932\pi\) |
−1.00000 | 0.000213691i | \(0.999932\pi\) | ||||||||
\(278\) | −6.11203 | + | 1.32959i | −0.366575 | + | 0.0797436i | ||||
\(279\) | −23.1444 | + | 3.32766i | −1.38562 | + | 0.199222i | ||||
\(280\) | 3.67038 | + | 4.96236i | 0.219347 | + | 0.296557i | ||||
\(281\) | −6.85360 | + | 23.3412i | −0.408852 | + | 1.39242i | 0.455815 | + | 0.890075i | \(0.349348\pi\) |
−0.864666 | + | 0.502346i | \(0.832470\pi\) | |||||||
\(282\) | −4.24424 | + | 1.58302i | −0.252741 | + | 0.0942675i | ||||
\(283\) | −2.22352 | + | 0.159029i | −0.132175 | + | 0.00945332i | −0.137270 | − | 0.990534i | \(-0.543833\pi\) |
0.00509507 | + | 0.999987i | \(0.498378\pi\) | |||||||
\(284\) | −8.26703 | − | 1.18862i | −0.490558 | − | 0.0705316i | ||||
\(285\) | −4.50078 | − | 1.34974i | −0.266603 | − | 0.0799519i | ||||
\(286\) | −0.146629 | + | 0.127055i | −0.00867038 | + | 0.00751292i | ||||
\(287\) | 4.66176 | − | 21.4298i | 0.275175 | − | 1.26496i | ||||
\(288\) | 0.547354 | − | 2.51615i | 0.0322532 | − | 0.148265i | ||||
\(289\) | 7.48827 | − | 6.48862i | 0.440487 | − | 0.381684i | ||||
\(290\) | −13.0822 | − | 3.92322i | −0.768211 | − | 0.230380i | ||||
\(291\) | −7.77419 | − | 1.11776i | −0.455731 | − | 0.0655243i | ||||
\(292\) | 9.60626 | − | 0.687054i | 0.562164 | − | 0.0402068i | ||||
\(293\) | 23.9931 | − | 8.94896i | 1.40169 | − | 0.522804i | 0.468910 | − | 0.883246i | \(-0.344647\pi\) |
0.932782 | + | 0.360442i | \(0.117374\pi\) | |||||||
\(294\) | 0.113752 | − | 0.387405i | 0.00663417 | − | 0.0225939i | ||||
\(295\) | −5.34218 | − | 7.22263i | −0.311034 | − | 0.420518i | ||||
\(296\) | −2.38955 | + | 0.343565i | −0.138890 | + | 0.0199693i | ||||
\(297\) | −1.12507 | + | 0.244744i | −0.0652833 | + | 0.0142015i | ||||
\(298\) | 14.0036 | + | 14.0036i | 0.811205 | + | 0.811205i | ||||
\(299\) | −2.76521 | − | 0.990222i | −0.159916 | − | 0.0572660i | ||||
\(300\) | 3.04078 | + | 1.17421i | 0.175560 | + | 0.0677933i | ||||
\(301\) | 24.2611 | + | 15.5917i | 1.39839 | + | 0.898688i | ||||
\(302\) | 3.58167 | − | 4.78455i | 0.206102 | − | 0.275320i | ||||
\(303\) | −5.56953 | − | 2.07733i | −0.319961 | − | 0.119339i | ||||
\(304\) | 3.09277 | + | 0.908118i | 0.177382 | + | 0.0520841i | ||||
\(305\) | 5.27596 | − | 23.5983i | 0.302101 | − | 1.35123i | ||||
\(306\) | 5.18234 | + | 4.49053i | 0.296255 | + | 0.256706i | ||||
\(307\) | −9.62496 | + | 7.20516i | −0.549326 | + | 0.411220i | −0.837564 | − | 0.546339i | \(-0.816021\pi\) |
0.288239 | + | 0.957559i | \(0.406930\pi\) | |||||||
\(308\) | −0.419081 | + | 0.767490i | −0.0238794 | + | 0.0437318i | ||||
\(309\) | 1.97151 | + | 2.27525i | 0.112155 | + | 0.129434i | ||||
\(310\) | −0.116905 | + | 20.3044i | −0.00663976 | + | 1.15321i | ||||
\(311\) | −14.2553 | + | 9.16132i | −0.808344 | + | 0.519491i | −0.878329 | − | 0.478057i | \(-0.841341\pi\) |
0.0699851 | + | 0.997548i | \(0.477705\pi\) | |||||||
\(312\) | −0.0284833 | + | 0.398248i | −0.00161255 | + | 0.0225464i | ||||
\(313\) | −15.6324 | − | 8.53594i | −0.883596 | − | 0.482480i | −0.0276933 | − | 0.999616i | \(-0.508816\pi\) |
−0.855903 | + | 0.517136i | \(0.826998\pi\) | |||||||
\(314\) | 2.03128 | − | 14.1278i | 0.114632 | − | 0.797280i | ||||
\(315\) | 4.38984 | + | 15.2752i | 0.247340 | + | 0.860662i | ||||
\(316\) | 6.82171 | + | 3.11537i | 0.383751 | + | 0.175253i | ||||
\(317\) | 9.45486 | + | 17.3153i | 0.531038 | + | 0.972523i | 0.996183 | + | 0.0872888i | \(0.0278203\pi\) |
−0.465145 | + | 0.885234i | \(0.653998\pi\) | |||||||
\(318\) | −1.31997 | + | 3.53897i | −0.0740202 | + | 0.198456i | ||||
\(319\) | −0.275374 | − | 1.91527i | −0.0154180 | − | 0.107235i | ||||
\(320\) | −2.09055 | − | 0.793475i | −0.116865 | − | 0.0443566i | ||||
\(321\) | 3.22540i | 0.180024i | ||||||||
\(322\) | −13.2369 | + | 0.173770i | −0.737661 | + | 0.00968385i | ||||
\(323\) | −6.06963 | + | 6.06963i | −0.337723 | + | 0.337723i | ||||
\(324\) | 2.89544 | − | 4.50540i | 0.160858 | − | 0.250300i | ||||
\(325\) | 2.98453 | + | 0.685331i | 0.165552 | + | 0.0380153i | ||||
\(326\) | 4.92836 | + | 10.7916i | 0.272957 | + | 0.597692i | ||||
\(327\) | −4.56356 | + | 2.49189i | −0.252366 | + | 0.137802i | ||||
\(328\) | 2.77653 | + | 7.44415i | 0.153308 | + | 0.411035i | ||||
\(329\) | −12.5601 | + | 14.4951i | −0.692462 | + | 0.799143i | ||||
\(330\) | 0.0302923 | + | 0.460813i | 0.00166754 | + | 0.0253669i | ||||
\(331\) | 17.2261 | − | 5.05804i | 0.946831 | − | 0.278015i | 0.228364 | − | 0.973576i | \(-0.426662\pi\) |
0.718467 | + | 0.695561i | \(0.244844\pi\) | |||||||
\(332\) | −1.01969 | − | 0.0729297i | −0.0559628 | − | 0.00400254i | ||||
\(333\) | −6.07428 | − | 1.32138i | −0.332869 | − | 0.0724111i | ||||
\(334\) | 7.22497 | + | 11.2423i | 0.395333 | + | 0.615150i | ||||
\(335\) | 2.34728 | + | 17.0208i | 0.128246 | + | 0.929946i | ||||
\(336\) | 0.506983 | + | 1.72662i | 0.0276582 | + | 0.0941951i | ||||
\(337\) | 10.9903 | + | 14.6813i | 0.598680 | + | 0.799743i | 0.992859 | − | 0.119291i | \(-0.0380620\pi\) |
−0.394179 | + | 0.919034i | \(0.628971\pi\) | |||||||
\(338\) | −0.900651 | − | 12.5927i | −0.0489890 | − | 0.684955i | ||||
\(339\) | 1.66172 | − | 3.63866i | 0.0902523 | − | 0.197625i | ||||
\(340\) | 4.52261 | − | 3.87350i | 0.245273 | − | 0.210070i | ||||
\(341\) | −2.61672 | + | 1.19502i | −0.141703 | + | 0.0647138i | ||||
\(342\) | 6.64455 | + | 4.97404i | 0.359296 | + | 0.268966i | ||||
\(343\) | 3.74384 | + | 17.2101i | 0.202148 | + | 0.929260i | ||||
\(344\) | −10.4478 | −0.563308 | ||||||||
\(345\) | −5.85329 | + | 3.82292i | −0.315130 | + | 0.205819i | ||||
\(346\) | −11.6641 | −0.627067 | ||||||||
\(347\) | 5.56392 | + | 25.5769i | 0.298687 | + | 1.37304i | 0.844689 | + | 0.535258i | \(0.179786\pi\) |
−0.546002 | + | 0.837784i | \(0.683851\pi\) | |||||||
\(348\) | −3.18769 | − | 2.38627i | −0.170878 | − | 0.127918i | ||||
\(349\) | 20.3982 | − | 9.31555i | 1.09189 | − | 0.498650i | 0.213671 | − | 0.976906i | \(-0.431458\pi\) |
0.878221 | + | 0.478256i | \(0.158731\pi\) | |||||||
\(350\) | 13.6828 | − | 1.80673i | 0.731377 | − | 0.0965739i | ||||
\(351\) | −0.924674 | + | 2.02475i | −0.0493554 | + | 0.108073i | ||||
\(352\) | −0.0225999 | − | 0.315988i | −0.00120458 | − | 0.0168422i | ||||
\(353\) | −7.54025 | − | 10.0726i | −0.401327 | − | 0.536110i | 0.553666 | − | 0.832739i | \(-0.313229\pi\) |
−0.954993 | + | 0.296629i | \(0.904138\pi\) | |||||||
\(354\) | −0.737905 | − | 2.51307i | −0.0392192 | − | 0.133568i | ||||
\(355\) | −11.2778 | + | 14.8860i | −0.598566 | + | 0.790067i | ||||
\(356\) | 2.02360 | + | 3.14878i | 0.107250 | + | 0.166885i | ||||
\(357\) | −4.68261 | − | 1.01864i | −0.247830 | − | 0.0539121i | ||||
\(358\) | 10.1433 | + | 0.725463i | 0.536090 | + | 0.0383419i | ||||
\(359\) | −20.2928 | + | 5.95851i | −1.07101 | + | 0.314478i | −0.769279 | − | 0.638914i | \(-0.779384\pi\) |
−0.301736 | + | 0.953392i | \(0.597566\pi\) | |||||||
\(360\) | −4.32972 | − | 3.79559i | −0.228196 | − | 0.200045i | ||||
\(361\) | 5.63843 | − | 6.50709i | 0.296759 | − | 0.342479i | ||||
\(362\) | 6.21092 | + | 16.6521i | 0.326439 | + | 0.875216i | ||||
\(363\) | 6.23656 | − | 3.40542i | 0.327335 | − | 0.178738i | ||||
\(364\) | 0.702272 | + | 1.53776i | 0.0368090 | + | 0.0806006i | ||||
\(365\) | 9.05865 | − | 19.5372i | 0.474151 | − | 1.02262i | ||||
\(366\) | 3.81147 | − | 5.93077i | 0.199229 | − | 0.310006i | ||||
\(367\) | −13.6323 | + | 13.6323i | −0.711598 | + | 0.711598i | −0.966869 | − | 0.255271i | \(-0.917835\pi\) |
0.255271 | + | 0.966869i | \(0.417835\pi\) | |||||||
\(368\) | 4.00013 | − | 2.64556i | 0.208521 | − | 0.137909i | ||||
\(369\) | 20.4586i | 1.06503i | ||||||||
\(370\) | −1.91554 | + | 5.04684i | −0.0995844 | + | 0.262373i | ||||
\(371\) | 2.27600 | + | 15.8299i | 0.118164 | + | 0.821849i | ||||
\(372\) | −2.06877 | + | 5.54660i | −0.107261 | + | 0.287578i | ||||
\(373\) | 0.0233634 | + | 0.0427868i | 0.00120971 | + | 0.00221542i | 0.878283 | − | 0.478141i | \(-0.158689\pi\) |
−0.877073 | + | 0.480356i | \(0.840507\pi\) | |||||||
\(374\) | 0.767390 | + | 0.350455i | 0.0396808 | + | 0.0181216i | ||||
\(375\) | 5.59008 | − | 4.67726i | 0.288670 | − | 0.241532i | ||||
\(376\) | 0.988864 | − | 6.87770i | 0.0509968 | − | 0.354690i | ||||
\(377\) | −3.28318 | − | 1.79275i | −0.169092 | − | 0.0923314i | ||||
\(378\) | −0.715696 | + | 10.0067i | −0.0368114 | + | 0.514691i | ||||
\(379\) | −11.0138 | + | 7.07816i | −0.565742 | + | 0.363580i | −0.792032 | − | 0.610480i | \(-0.790977\pi\) |
0.226290 | + | 0.974060i | \(0.427340\pi\) | |||||||
\(380\) | 5.12580 | − | 5.06711i | 0.262948 | − | 0.259937i | ||||
\(381\) | −5.74345 | − | 6.62830i | −0.294246 | − | 0.339578i | ||||
\(382\) | 6.38315 | − | 11.6899i | 0.326590 | − | 0.598105i | ||||
\(383\) | −21.6338 | + | 16.1948i | −1.10543 | + | 0.827517i | −0.986234 | − | 0.165353i | \(-0.947124\pi\) |
−0.119199 | + | 0.992870i | \(0.538033\pi\) | |||||||
\(384\) | −0.492692 | − | 0.426920i | −0.0251426 | − | 0.0217862i | ||||
\(385\) | 1.04765 | + | 1.65100i | 0.0533931 | + | 0.0841425i | ||||
\(386\) | −22.3693 | − | 6.56823i | −1.13857 | − | 0.334314i | ||||
\(387\) | −25.2068 | − | 9.40164i | −1.28133 | − | 0.477912i | ||||
\(388\) | 7.21987 | − | 9.64461i | 0.366533 | − | 0.489631i | ||||
\(389\) | −10.3405 | − | 6.64544i | −0.524285 | − | 0.336937i | 0.251580 | − | 0.967836i | \(-0.419050\pi\) |
−0.775865 | + | 0.630899i | \(0.782686\pi\) | |||||||
\(390\) | 0.748267 | + | 0.486992i | 0.0378900 | + | 0.0246598i | ||||
\(391\) | 1.07823 | + | 12.7257i | 0.0545287 | + | 0.643568i | ||||
\(392\) | 0.437936 | + | 0.437936i | 0.0221191 | + | 0.0221191i | ||||
\(393\) | −7.44688 | + | 1.61997i | −0.375646 | + | 0.0817167i | ||||
\(394\) | 16.0977 | − | 2.31450i | 0.810991 | − | 0.116603i | ||||
\(395\) | 13.4821 | − | 9.97196i | 0.678357 | − | 0.501744i | ||||
\(396\) | 0.229822 | − | 0.782702i | 0.0115490 | − | 0.0393323i | ||||
\(397\) | −7.42520 | + | 2.76946i | −0.372660 | + | 0.138995i | −0.528814 | − | 0.848738i | \(-0.677363\pi\) |
0.156154 | + | 0.987733i | \(0.450090\pi\) | |||||||
\(398\) | 7.48027 | − | 0.535000i | 0.374952 | − | 0.0268171i | ||||
\(399\) | −5.74140 | − | 0.825489i | −0.287430 | − | 0.0413262i | ||||
\(400\) | −3.81620 | + | 3.23057i | −0.190810 | + | 0.161529i | ||||
\(401\) | 10.5343 | − | 9.12804i | 0.526059 | − | 0.455832i | −0.350890 | − | 0.936417i | \(-0.614121\pi\) |
0.876948 | + | 0.480584i | \(0.159575\pi\) | |||||||
\(402\) | −1.06482 | + | 4.89489i | −0.0531083 | + | 0.244135i | ||||
\(403\) | −1.18214 | + | 5.43422i | −0.0588867 | + | 0.270698i | ||||
\(404\) | 6.89101 | − | 5.97109i | 0.342841 | − | 0.297073i | ||||
\(405\) | −5.67861 | − | 10.5435i | −0.282172 | − | 0.523909i | ||||
\(406\) | −16.6882 | − | 2.39940i | −0.828222 | − | 0.119080i | ||||
\(407\) | −0.762833 | + | 0.0545589i | −0.0378122 | + | 0.00270438i | ||||
\(408\) | 1.62662 | − | 0.606697i | 0.0805296 | − | 0.0300360i | ||||
\(409\) | 0.412691 | − | 1.40550i | 0.0204062 | − | 0.0694973i | −0.948660 | − | 0.316296i | \(-0.897561\pi\) |
0.969067 | + | 0.246799i | \(0.0793788\pi\) | |||||||
\(410\) | 17.5701 | + | 2.62954i | 0.867725 | + | 0.129864i | ||||
\(411\) | −11.8611 | + | 1.70536i | −0.585063 | + | 0.0841193i | ||||
\(412\) | −4.51246 | + | 0.981625i | −0.222313 | + | 0.0483612i | ||||
\(413\) | −7.84169 | − | 7.84169i | −0.385864 | − | 0.385864i | ||||
\(414\) | 12.0315 | − | 2.78319i | 0.591317 | − | 0.136786i | ||||
\(415\) | −1.24691 | + | 1.91589i | −0.0612086 | + | 0.0940474i | ||||
\(416\) | −0.515218 | − | 0.331111i | −0.0252607 | − | 0.0162340i | ||||
\(417\) | −2.44372 | + | 3.26443i | −0.119669 | + | 0.159860i | ||||
\(418\) | 0.956754 | + | 0.356851i | 0.0467964 | + | 0.0174541i | ||||
\(419\) | −0.132001 | − | 0.0387591i | −0.00644868 | − | 0.00189350i | 0.278507 | − | 0.960434i | \(-0.410161\pi\) |
−0.284955 | + | 0.958541i | \(0.591979\pi\) | |||||||
\(420\) | 3.92690 | + | 0.877953i | 0.191613 | + | 0.0428397i | ||||
\(421\) | 25.0172 | + | 21.6775i | 1.21926 | + | 1.05650i | 0.996666 | + | 0.0815888i | \(0.0259994\pi\) |
0.222599 | + | 0.974910i | \(0.428546\pi\) | |||||||
\(422\) | 18.6238 | − | 13.9416i | 0.906591 | − | 0.678666i | ||||
\(423\) | 8.57479 | − | 15.7036i | 0.416921 | − | 0.763533i | ||||
\(424\) | −3.79413 | − | 4.37866i | −0.184259 | − | 0.212647i | ||||
\(425\) | −2.68031 | − | 13.0425i | −0.130014 | − | 0.632652i | ||||
\(426\) | −4.58054 | + | 2.94374i | −0.221928 | + | 0.142625i | ||||
\(427\) | 2.12948 | − | 29.7740i | 0.103053 | − | 1.44086i | ||||
\(428\) | −4.34232 | − | 2.37109i | −0.209894 | − | 0.114611i | ||||
\(429\) | −0.0180008 | + | 0.125198i | −0.000869085 | + | 0.00604462i | ||||
\(430\) | −11.3141 | + | 20.4395i | −0.545613 | + | 0.985681i | ||||
\(431\) | −28.8071 | − | 13.1558i | −1.38759 | − | 0.633691i | −0.425135 | − | 0.905130i | \(-0.639773\pi\) |
−0.962456 | + | 0.271439i | \(0.912501\pi\) | |||||||
\(432\) | −1.74182 | − | 3.18990i | −0.0838033 | − | 0.153474i | ||||
\(433\) | 12.9645 | − | 34.7592i | 0.623034 | − | 1.67042i | −0.113100 | − | 0.993584i | \(-0.536078\pi\) |
0.736134 | − | 0.676836i | \(-0.236649\pi\) | |||||||
\(434\) | 3.56715 | + | 24.8101i | 0.171229 | + | 1.19092i | ||||
\(435\) | −8.12037 | + | 3.65209i | −0.389342 | + | 0.175104i | ||||
\(436\) | − | 7.97574i | − | 0.381969i | ||||||
\(437\) | 2.40065 | + | 15.2710i | 0.114839 | + | 0.730512i | ||||
\(438\) | 4.43961 | − | 4.43961i | 0.212133 | − | 0.212133i | ||||
\(439\) | 5.37599 | − | 8.36521i | 0.256582 | − | 0.399250i | −0.688934 | − | 0.724824i | \(-0.741921\pi\) |
0.945517 | + | 0.325574i | \(0.105558\pi\) | |||||||
\(440\) | −0.642656 | − | 0.297975i | −0.0306374 | − | 0.0142054i | ||||
\(441\) | 0.662497 | + | 1.45067i | 0.0315475 | + | 0.0690793i | ||||
\(442\) | 1.43144 | − | 0.781624i | 0.0680865 | − | 0.0371781i | ||||
\(443\) | −13.5142 | − | 36.2330i | −0.642079 | − | 1.72148i | −0.691175 | − | 0.722688i | \(-0.742907\pi\) |
0.0490953 | − | 0.998794i | \(-0.484366\pi\) | |||||||
\(444\) | −1.03064 | + | 1.18942i | −0.0489118 | + | 0.0564472i | ||||
\(445\) | 8.35149 | − | 0.549000i | 0.395899 | − | 0.0260251i | ||||
\(446\) | −6.34845 | + | 1.86407i | −0.300608 | + | 0.0882664i | ||||
\(447\) | 12.8778 | + | 0.921042i | 0.609101 | + | 0.0435638i | ||||
\(448\) | −2.69723 | − | 0.586747i | −0.127432 | − | 0.0277212i | ||||
\(449\) | −10.0638 | − | 15.6596i | −0.474941 | − | 0.739022i | 0.518287 | − | 0.855207i | \(-0.326570\pi\) |
−0.993228 | + | 0.116185i | \(0.962934\pi\) | |||||||
\(450\) | −12.1142 | + | 4.36014i | −0.571069 | + | 0.205539i | ||||
\(451\) | 0.709112 | + | 2.41501i | 0.0333908 | + | 0.113718i | ||||
\(452\) | 3.67711 | + | 4.91204i | 0.172957 | + | 0.231043i | ||||
\(453\) | −0.277961 | − | 3.88640i | −0.0130597 | − | 0.182599i | ||||
\(454\) | −5.73715 | + | 12.5626i | −0.269258 | + | 0.589592i | ||||
\(455\) | 3.76889 | + | 0.291376i | 0.176689 | + | 0.0136599i | ||||
\(456\) | 1.91147 | − | 0.872941i | 0.0895130 | − | 0.0408792i | ||||
\(457\) | −3.96387 | − | 2.96732i | −0.185422 | − | 0.138805i | 0.502534 | − | 0.864557i | \(-0.332401\pi\) |
−0.687956 | + | 0.725752i | \(0.741492\pi\) | |||||||
\(458\) | 4.87059 | + | 22.3898i | 0.227588 | + | 1.04620i | ||||
\(459\) | 9.67863 | 0.451760 | ||||||||
\(460\) | −0.843833 | − | 10.6906i | −0.0393439 | − | 0.498450i | ||||
\(461\) | 19.7385 | 0.919315 | 0.459658 | − | 0.888096i | \(-0.347972\pi\) | ||||
0.459658 | + | 0.888096i | \(0.347972\pi\) | |||||||
\(462\) | 0.121179 | + | 0.557050i | 0.00563775 | + | 0.0259163i | ||||
\(463\) | 11.3553 | + | 8.50050i | 0.527727 | + | 0.395052i | 0.829653 | − | 0.558280i | \(-0.188538\pi\) |
−0.301925 | + | 0.953332i | \(0.597629\pi\) | |||||||
\(464\) | 5.55597 | − | 2.53733i | 0.257930 | − | 0.117793i | ||||
\(465\) | 8.61077 | + | 10.0537i | 0.399315 | + | 0.466231i | ||||
\(466\) | −0.982909 | + | 2.15227i | −0.0455324 | + | 0.0997020i | ||||
\(467\) | −1.55348 | − | 21.7205i | −0.0718864 | − | 1.00510i | −0.897542 | − | 0.440929i | \(-0.854649\pi\) |
0.825656 | − | 0.564174i | \(-0.190805\pi\) | |||||||
\(468\) | −0.945081 | − | 1.26248i | −0.0436864 | − | 0.0583582i | ||||
\(469\) | 5.97560 | + | 20.3510i | 0.275928 | + | 0.939723i | ||||
\(470\) | −12.3843 | − | 9.38252i | −0.571246 | − | 0.432784i | ||||
\(471\) | −5.03066 | − | 7.82786i | −0.231801 | − | 0.360689i | ||||
\(472\) | 3.92578 | + | 0.854001i | 0.180699 | + | 0.0393086i | ||||
\(473\) | −3.30138 | − | 0.236119i | −0.151798 | − | 0.0108568i | ||||
\(474\) | 4.69102 | − | 1.37741i | 0.215465 | − | 0.0632664i | ||||
\(475\) | −4.36223 | − | 15.5151i | −0.200153 | − | 0.711881i | ||||
\(476\) | 4.81371 | − | 5.55531i | 0.220636 | − | 0.254627i | ||||
\(477\) | −5.21366 | − | 13.9784i | −0.238717 | − | 0.640025i | ||||
\(478\) | 15.7627 | − | 8.60707i | 0.720968 | − | 0.393678i | ||||
\(479\) | 12.6195 | + | 27.6329i | 0.576600 | + | 1.26258i | 0.943208 | + | 0.332203i | \(0.107792\pi\) |
−0.366608 | + | 0.930376i | \(0.619481\pi\) | |||||||
\(480\) | −1.36875 | + | 0.501558i | −0.0624745 | + | 0.0228929i | ||||
\(481\) | −0.799341 | + | 1.24380i | −0.0364468 | + | 0.0567123i | ||||
\(482\) | 0.408619 | − | 0.408619i | 0.0186121 | − | 0.0186121i | ||||
\(483\) | −6.44751 | + | 5.73669i | −0.293372 | + | 0.261029i | ||||
\(484\) | 10.8996i | 0.495438i | ||||||||
\(485\) | −11.0497 | − | 24.5689i | −0.501742 | − | 1.11561i | ||||
\(486\) | −2.04860 | − | 14.2483i | −0.0929265 | − | 0.646318i | ||||
\(487\) | 6.95752 | − | 18.6538i | 0.315275 | − | 0.845286i | −0.678573 | − | 0.734533i | \(-0.737401\pi\) |
0.993848 | − | 0.110753i | \(-0.0353262\pi\) | |||||||
\(488\) | 5.18260 | + | 9.49122i | 0.234605 | + | 0.429648i | ||||
\(489\) | 7.03532 | + | 3.21292i | 0.318148 | + | 0.145293i | ||||
\(490\) | 1.33100 | − | 0.382507i | 0.0601285 | − | 0.0172799i | ||||
\(491\) | 4.55533 | − | 31.6830i | 0.205579 | − | 1.42984i | −0.581782 | − | 0.813344i | \(-0.697644\pi\) |
0.787362 | − | 0.616491i | \(-0.211446\pi\) | |||||||
\(492\) | 4.54603 | + | 2.48232i | 0.204951 | + | 0.111912i | ||||
\(493\) | −1.16037 | + | 16.2240i | −0.0522602 | + | 0.730693i | ||||
\(494\) | 1.66072 | − | 1.06728i | 0.0747194 | − | 0.0480192i | ||||
\(495\) | −1.28236 | − | 1.29721i | −0.0576378 | − | 0.0583053i | ||||
\(496\) | −5.94651 | − | 6.86264i | −0.267006 | − | 0.308142i | ||||
\(497\) | −11.0487 | + | 20.2342i | −0.495603 | + | 0.907630i | ||||
\(498\) | −0.533528 | + | 0.399394i | −0.0239080 | + | 0.0178973i | ||||
\(499\) | −25.6825 | − | 22.2540i | −1.14971 | − | 0.996227i | −0.999972 | − | 0.00750072i | \(-0.997612\pi\) |
−0.149735 | − | 0.988726i | \(-0.547842\pi\) | |||||||
\(500\) | 2.18751 | + | 10.9643i | 0.0978283 | + | 0.490336i | ||||
\(501\) | 8.35923 | + | 2.45449i | 0.373463 | + | 0.109659i | ||||
\(502\) | 6.89747 | + | 2.57262i | 0.307849 | + | 0.114822i | ||||
\(503\) | −11.5785 | + | 15.4671i | −0.516261 | + | 0.689645i | −0.980601 | − | 0.196012i | \(-0.937201\pi\) |
0.464340 | + | 0.885657i | \(0.346292\pi\) | |||||||
\(504\) | −5.97946 | − | 3.84276i | −0.266346 | − | 0.171170i | ||||
\(505\) | −4.21916 | − | 19.9474i | −0.187750 | − | 0.887647i | ||||
\(506\) | 1.32378 | − | 0.745562i | 0.0588493 | − | 0.0331443i | ||||
\(507\) | −5.81984 | − | 5.81984i | −0.258468 | − | 0.258468i | ||||
\(508\) | 13.1458 | − | 2.85969i | 0.583250 | − | 0.126878i | ||||
\(509\) | 4.65529 | − | 0.669329i | 0.206342 | − | 0.0296675i | −0.0383687 | − | 0.999264i | \(-0.512216\pi\) |
0.244711 | + | 0.969596i | \(0.421307\pi\) | |||||||
\(510\) | 0.574579 | − | 3.83923i | 0.0254428 | − | 0.170004i | ||||
\(511\) | 7.48959 | − | 25.5072i | 0.331320 | − | 1.12837i | ||||
\(512\) | 0.936950 | − | 0.349464i | 0.0414077 | − | 0.0154443i | ||||
\(513\) | 11.6853 | − | 0.835748i | 0.515918 | − | 0.0368992i | ||||
\(514\) | 6.97678 | + | 1.00311i | 0.307733 | + | 0.0442453i | ||||
\(515\) | −2.96621 | + | 9.89095i | −0.130707 | + | 0.435847i | ||||
\(516\) | −5.14754 | + | 4.46037i | −0.226608 | + | 0.196357i | ||||
\(517\) | 0.467904 | − | 2.15092i | 0.0205784 | − | 0.0945974i | ||||
\(518\) | −1.41648 | + | 6.51144i | −0.0622364 | + | 0.286096i | ||||
\(519\) | −5.74682 | + | 4.97965i | −0.252257 | + | 0.218582i | ||||
\(520\) | −1.20571 | + | 0.649381i | −0.0528737 | + | 0.0284773i | ||||
\(521\) | −18.1659 | − | 2.61186i | −0.795861 | − | 0.114428i | −0.267623 | − | 0.963524i | \(-0.586238\pi\) |
−0.528238 | + | 0.849096i | \(0.677147\pi\) | |||||||
\(522\) | 15.6878 | − | 1.12202i | 0.686638 | − | 0.0491093i | ||||
\(523\) | 13.2959 | − | 4.95911i | 0.581389 | − | 0.216847i | −0.0415246 | − | 0.999137i | \(-0.513221\pi\) |
0.622914 | + | 0.782291i | \(0.285949\pi\) | |||||||
\(524\) | 3.29347 | − | 11.2165i | 0.143876 | − | 0.489997i | ||||
\(525\) | 5.97007 | − | 6.73162i | 0.260555 | − | 0.293792i | ||||
\(526\) | −17.6812 | + | 2.54217i | −0.770937 | + | 0.110844i | ||||
\(527\) | 23.6290 | − | 5.14017i | 1.02929 | − | 0.223909i | ||||
\(528\) | −0.146036 | − | 0.146036i | −0.00635542 | − | 0.00635542i | ||||
\(529\) | 19.6686 | + | 11.9225i | 0.855156 | + | 0.518371i | ||||
\(530\) | −12.6749 | + | 2.68092i | −0.550563 | + | 0.116452i | ||||
\(531\) | 8.70301 | + | 5.59308i | 0.377678 | + | 0.242719i | ||||
\(532\) | 5.33202 | − | 7.12275i | 0.231172 | − | 0.308810i | ||||
\(533\) | 4.55911 | + | 1.70046i | 0.197477 | + | 0.0736550i | ||||
\(534\) | 2.34129 | + | 0.687464i | 0.101317 | + | 0.0297495i | ||||
\(535\) | −9.34104 | + | 5.92741i | −0.403848 | + | 0.256264i | ||||
\(536\) | −5.80716 | − | 5.03193i | −0.250831 | − | 0.217346i | ||||
\(537\) | 5.30723 | − | 3.97294i | 0.229024 | − | 0.171445i | ||||
\(538\) | 8.49263 | − | 15.5531i | 0.366143 | − | 0.670542i | ||||
\(539\) | 0.128485 | + | 0.148280i | 0.00553425 | + | 0.00638686i | ||||
\(540\) | −8.12680 | − | 0.0467909i | −0.349722 | − | 0.00201356i | ||||
\(541\) | −21.1489 | + | 13.5916i | −0.909263 | + | 0.584348i | −0.909524 | − | 0.415652i | \(-0.863553\pi\) |
0.000260505 | 1.00000i | \(0.499917\pi\) | ||||||||
\(542\) | −2.07743 | + | 29.0462i | −0.0892332 | + | 1.24764i | ||||
\(543\) | 10.1692 | + | 5.55280i | 0.436402 | + | 0.238293i | ||||
\(544\) | −0.378985 | + | 2.63590i | −0.0162489 | + | 0.113013i | ||||
\(545\) | −15.6033 | − | 8.63704i | −0.668372 | − | 0.369970i | ||||
\(546\) | 1.00250 | + | 0.457828i | 0.0429032 | + | 0.0195932i | ||||
\(547\) | 1.42507 | + | 2.60982i | 0.0609315 | + | 0.111588i | 0.906370 | − | 0.422486i | \(-0.138842\pi\) |
−0.845438 | + | 0.534074i | \(0.820661\pi\) | |||||||
\(548\) | 6.42350 | − | 17.2221i | 0.274398 | − | 0.735691i | ||||
\(549\) | 3.96290 | + | 27.5626i | 0.169132 | + | 1.17634i | ||||
\(550\) | −1.27888 | + | 0.934577i | −0.0545318 | + | 0.0398505i | ||||
\(551\) | 19.6879i | 0.838734i | ||||||||
\(552\) | 0.841389 | − | 3.01118i | 0.0358119 | − | 0.128164i | ||||
\(553\) | 14.6376 | − | 14.6376i | 0.622456 | − | 0.622456i | ||||
\(554\) | 12.7225 | − | 19.7965i | 0.540525 | − | 0.841074i | ||||
\(555\) | 1.21082 | + | 3.30432i | 0.0513965 | + | 0.140261i | ||||
\(556\) | −2.59841 | − | 5.68973i | −0.110197 | − | 0.241298i | ||||
\(557\) | −6.99149 | + | 3.81764i | −0.296239 | + | 0.161759i | −0.620494 | − | 0.784211i | \(-0.713068\pi\) |
0.324256 | + | 0.945970i | \(0.394886\pi\) | |||||||
\(558\) | −8.17132 | − | 21.9081i | −0.345919 | − | 0.927446i | ||||
\(559\) | −4.19023 | + | 4.83579i | −0.177228 | + | 0.204532i | ||||
\(560\) | −4.06875 | + | 4.64133i | −0.171936 | + | 0.196132i | ||||
\(561\) | 0.527703 | − | 0.154948i | 0.0222797 | − | 0.00654190i | ||||
\(562\) | −24.2646 | − | 1.73544i | −1.02354 | − | 0.0732052i | ||||
\(563\) | 14.8037 | + | 3.22035i | 0.623901 | + | 0.135721i | 0.513393 | − | 0.858154i | \(-0.328388\pi\) |
0.110509 | + | 0.993875i | \(0.464752\pi\) | |||||||
\(564\) | −2.44902 | − | 3.81075i | −0.103122 | − | 0.160462i | ||||
\(565\) | 13.5917 | − | 1.87438i | 0.571805 | − | 0.0788557i | ||||
\(566\) | −0.628039 | − | 2.13890i | −0.0263984 | − | 0.0899049i | ||||
\(567\) | −8.85917 | − | 11.8345i | −0.372050 | − | 0.497001i | ||||
\(568\) | −0.595828 | − | 8.33076i | −0.0250004 | − | 0.349551i | ||||
\(569\) | −8.90868 | + | 19.5073i | −0.373471 | + | 0.817788i | 0.625813 | + | 0.779973i | \(0.284767\pi\) |
−0.999285 | + | 0.0378154i | \(0.987960\pi\) | |||||||
\(570\) | 0.362188 | − | 4.68483i | 0.0151704 | − | 0.196226i | ||||
\(571\) | −13.1374 | + | 5.99965i | −0.549783 | + | 0.251077i | −0.670883 | − | 0.741563i | \(-0.734085\pi\) |
0.121101 | + | 0.992640i | \(0.461358\pi\) | |||||||
\(572\) | −0.155320 | − | 0.116271i | −0.00649425 | − | 0.00486153i | ||||
\(573\) | −1.84571 | − | 8.48459i | −0.0771056 | − | 0.354449i | ||||
\(574\) | 21.9310 | 0.915380 | ||||||||
\(575\) | −21.8282 | − | 9.92613i | −0.910300 | − | 0.413948i | ||||
\(576\) | 2.57499 | 0.107291 | ||||||||
\(577\) | 8.48076 | + | 38.9854i | 0.353059 | + | 1.62298i | 0.720860 | + | 0.693080i | \(0.243747\pi\) |
−0.367802 | + | 0.929904i | \(0.619889\pi\) | |||||||
\(578\) | 7.93208 | + | 5.93788i | 0.329931 | + | 0.246983i | ||||
\(579\) | −13.8253 | + | 6.31380i | −0.574560 | + | 0.262393i | ||||
\(580\) | 1.05275 | − | 13.6171i | 0.0437131 | − | 0.565420i | ||||
\(581\) | −1.17224 | + | 2.56685i | −0.0486328 | + | 0.106491i | ||||
\(582\) | −0.560308 | − | 7.83413i | −0.0232255 | − | 0.324735i | ||||
\(583\) | −1.09994 | − | 1.46935i | −0.0455550 | − | 0.0608543i | ||||
\(584\) | 2.71331 | + | 9.24069i | 0.112278 | + | 0.382382i | ||||
\(585\) | −3.49329 | + | 0.481748i | −0.144430 | + | 0.0199178i | ||||
\(586\) | 13.8445 | + | 21.5425i | 0.571913 | + | 0.889914i | ||||
\(587\) | 20.2464 | + | 4.40434i | 0.835659 | + | 0.181786i | 0.609981 | − | 0.792416i | \(-0.291177\pi\) |
0.225677 | + | 0.974202i | \(0.427541\pi\) | |||||||
\(588\) | 0.402731 | + | 0.0288039i | 0.0166083 | + | 0.00118785i | ||||
\(589\) | 28.0841 | − | 8.24623i | 1.15718 | − | 0.339780i | ||||
\(590\) | 5.92201 | − | 6.75538i | 0.243805 | − | 0.278115i | ||||
\(591\) | 6.94311 | − | 8.01277i | 0.285601 | − | 0.329601i | ||||
\(592\) | −0.843648 | − | 2.26191i | −0.0346737 | − | 0.0929639i | ||||
\(593\) | −31.5118 | + | 17.2067i | −1.29403 | + | 0.706596i | −0.970838 | − | 0.239737i | \(-0.922939\pi\) |
−0.323195 | + | 0.946332i | \(0.604757\pi\) | |||||||
\(594\) | −0.478302 | − | 1.04734i | −0.0196250 | − | 0.0429727i | ||||
\(595\) | −5.65529 | − | 15.4332i | −0.231844 | − | 0.632700i | ||||
\(596\) | −10.7069 | + | 16.6602i | −0.438570 | + | 0.682429i | ||||
\(597\) | 3.45707 | − | 3.45707i | 0.141488 | − | 0.141488i | ||||
\(598\) | 0.379804 | − | 2.91251i | 0.0155313 | − | 0.119101i | ||||
\(599\) | 45.2263i | 1.84790i | 0.382517 | + | 0.923948i | \(0.375057\pi\) | ||||
−0.382517 | + | 0.923948i | \(0.624943\pi\) | |||||||
\(600\) | −0.501014 | + | 3.22089i | −0.0204538 | + | 0.131492i | ||||
\(601\) | 5.82478 | + | 40.5122i | 0.237598 | + | 1.65253i | 0.663807 | + | 0.747904i | \(0.268940\pi\) |
−0.426209 | + | 0.904625i | \(0.640151\pi\) | |||||||
\(602\) | −10.0783 | + | 27.0209i | −0.410760 | + | 1.10129i | ||||
\(603\) | −9.48251 | − | 17.3659i | −0.386158 | − | 0.707195i | ||||
\(604\) | 5.43655 | + | 2.48279i | 0.221210 | + | 0.101023i | ||||
\(605\) | 21.3235 | + | 11.8034i | 0.866923 | + | 0.479876i | ||||
\(606\) | 0.845965 | − | 5.88382i | 0.0343650 | − | 0.239014i | ||||
\(607\) | 0.389892 | + | 0.212897i | 0.0158252 | + | 0.00864123i | 0.487142 | − | 0.873323i | \(-0.338039\pi\) |
−0.471317 | + | 0.881964i | \(0.656221\pi\) | |||||||
\(608\) | −0.229950 | + | 3.21512i | −0.00932570 | + | 0.130390i | ||||
\(609\) | −9.24650 | + | 5.94236i | −0.374687 | + | 0.240797i | ||||
\(610\) | 24.1804 | + | 0.139222i | 0.979038 | + | 0.00563692i | ||||
\(611\) | −2.78676 | − | 3.21609i | −0.112740 | − | 0.130109i | ||||
\(612\) | −3.28632 | + | 6.01844i | −0.132842 | + | 0.243281i | ||||
\(613\) | 29.4122 | − | 22.0177i | 1.18795 | − | 0.889285i | 0.192193 | − | 0.981357i | \(-0.438440\pi\) |
0.995752 | + | 0.0920719i | \(0.0293490\pi\) | |||||||
\(614\) | −9.08643 | − | 7.87344i | −0.366698 | − | 0.317746i | ||||
\(615\) | 9.77924 | − | 6.20547i | 0.394337 | − | 0.250229i | ||||
\(616\) | −0.839033 | − | 0.246362i | −0.0338056 | − | 0.00992622i | ||||
\(617\) | −9.62779 | − | 3.59098i | −0.387600 | − | 0.144567i | 0.148107 | − | 0.988971i | \(-0.452682\pi\) |
−0.535707 | + | 0.844404i | \(0.679955\pi\) | |||||||
\(618\) | −1.80418 | + | 2.41010i | −0.0725746 | + | 0.0969483i | ||||
\(619\) | 15.7999 | + | 10.1540i | 0.635053 | + | 0.408124i | 0.818177 | − | 0.574966i | \(-0.194985\pi\) |
−0.183124 | + | 0.983090i | \(0.558621\pi\) | |||||||
\(620\) | −19.8653 | + | 4.20179i | −0.797808 | + | 0.168748i | ||||
\(621\) | 10.2615 | − | 14.0896i | 0.411782 | − | 0.565397i | ||||
\(622\) | −11.9821 | − | 11.9821i | −0.480440 | − | 0.480440i | ||||
\(623\) | 10.0956 | − | 2.19617i | 0.404473 | − | 0.0879877i | ||||
\(624\) | −0.395202 | + | 0.0568214i | −0.0158207 | + | 0.00227468i | ||||
\(625\) | 23.8188 | + | 7.59383i | 0.952751 | + | 0.303753i | ||||
\(626\) | 5.01796 | − | 17.0896i | 0.200558 | − | 0.683038i | ||||
\(627\) | 0.623731 | − | 0.232640i | 0.0249094 | − | 0.00929074i | ||||
\(628\) | 14.2367 | − | 1.01823i | 0.568108 | − | 0.0406319i | ||||
\(629\) | 6.36338 | + | 0.914915i | 0.253724 | + | 0.0364801i | ||||
\(630\) | −13.9930 | + | 7.53651i | −0.557495 | + | 0.300262i | ||||
\(631\) | 3.05021 | − | 2.64302i | 0.121427 | − | 0.105217i | −0.592031 | − | 0.805915i | \(-0.701674\pi\) |
0.713458 | + | 0.700698i | \(0.247128\pi\) | |||||||
\(632\) | −1.59412 | + | 7.32803i | −0.0634105 | + | 0.291494i | ||||
\(633\) | 3.22384 | − | 14.8198i | 0.128136 | − | 0.589033i | ||||
\(634\) | −14.9098 | + | 12.9194i | −0.592144 | + | 0.513095i | ||||
\(635\) | 8.64122 | − | 28.8145i | 0.342916 | − | 1.14347i | ||||
\(636\) | −3.73868 | − | 0.537541i | −0.148248 | − | 0.0213149i | ||||
\(637\) | 0.378340 | − | 0.0270594i | 0.0149904 | − | 0.00107213i | ||||
\(638\) | 1.81296 | − | 0.676201i | 0.0717760 | − | 0.0267711i | ||||
\(639\) | 6.05907 | − | 20.6353i | 0.239693 | − | 0.816320i | ||||
\(640\) | 0.330964 | − | 2.21144i | 0.0130825 | − | 0.0874148i | ||||
\(641\) | −37.1849 | + | 5.34639i | −1.46872 | + | 0.211170i | −0.829780 | − | 0.558090i | \(-0.811534\pi\) |
−0.638936 | + | 0.769260i | \(0.720625\pi\) | |||||||
\(642\) | −3.15169 | + | 0.685609i | −0.124387 | + | 0.0270588i | ||||
\(643\) | 12.6523 | + | 12.6523i | 0.498957 | + | 0.498957i | 0.911113 | − | 0.412156i | \(-0.135224\pi\) |
−0.412156 | + | 0.911113i | \(0.635224\pi\) | |||||||
\(644\) | −2.98350 | − | 12.8974i | −0.117566 | − | 0.508230i | ||||
\(645\) | 3.15169 | + | 14.9006i | 0.124098 | + | 0.586710i | ||||
\(646\) | −7.22111 | − | 4.64073i | −0.284111 | − | 0.182587i | ||||
\(647\) | −1.81752 | + | 2.42792i | −0.0714539 | + | 0.0954512i | −0.834844 | − | 0.550486i | \(-0.814442\pi\) |
0.763390 | + | 0.645937i | \(0.223533\pi\) | |||||||
\(648\) | 5.01791 | + | 1.87158i | 0.197122 | + | 0.0735227i | ||||
\(649\) | 1.22120 | + | 0.358576i | 0.0479363 | + | 0.0140754i | ||||
\(650\) | −0.0352608 | + | 3.06200i | −0.00138304 | + | 0.120102i | ||||
\(651\) | 12.3494 | + | 10.7008i | 0.484012 | + | 0.419399i | ||||
\(652\) | −9.49739 | + | 7.10966i | −0.371947 | + | 0.278436i | ||||
\(653\) | −7.38259 | + | 13.5202i | −0.288903 | + | 0.529087i | −0.981313 | − | 0.192418i | \(-0.938367\pi\) |
0.692410 | + | 0.721504i | \(0.256549\pi\) | |||||||
\(654\) | −3.40500 | − | 3.92958i | −0.133146 | − | 0.153659i | ||||
\(655\) | −18.3769 | − | 18.5897i | −0.718045 | − | 0.726361i | ||||
\(656\) | −6.68384 | + | 4.29544i | −0.260960 | + | 0.167709i | ||||
\(657\) | −1.76916 | + | 24.7361i | −0.0690215 | + | 0.965046i | ||||
\(658\) | −16.8337 | − | 9.19191i | −0.656247 | − | 0.358338i | ||||
\(659\) | −4.87682 | + | 33.9190i | −0.189974 | + | 1.32130i | 0.642095 | + | 0.766625i | \(0.278066\pi\) |
−0.832069 | + | 0.554673i | \(0.812844\pi\) | |||||||
\(660\) | −0.443843 | + | 0.127553i | −0.0172766 | + | 0.00496499i | ||||
\(661\) | −34.1974 | − | 15.6174i | −1.33012 | − | 0.607447i | −0.381651 | − | 0.924306i | \(-0.624645\pi\) |
−0.948473 | + | 0.316859i | \(0.897372\pi\) | |||||||
\(662\) | 8.60411 | + | 15.7573i | 0.334408 | + | 0.612423i | ||||
\(663\) | 0.371567 | − | 0.996209i | 0.0144304 | − | 0.0386895i | ||||
\(664\) | −0.145488 | − | 1.01189i | −0.00564602 | − | 0.0392689i | ||||
\(665\) | −8.16044 | − | 18.1446i | −0.316448 | − | 0.703618i | ||||
\(666\) | − | 6.21634i | − | 0.240878i | ||||||
\(667\) | 22.3878 | + | 18.8903i | 0.866859 | + | 0.731437i | ||||
\(668\) | −9.44957 | + | 9.44957i | −0.365615 | + | 0.365615i | ||||
\(669\) | −2.33202 | + | 3.62869i | −0.0901611 | + | 0.140293i | ||||
\(670\) | −16.1329 | + | 5.91167i | −0.623267 | + | 0.228388i | ||||
\(671\) | 1.42314 | + | 3.11624i | 0.0549397 | + | 0.120301i | ||||
\(672\) | −1.57940 | + | 0.862417i | −0.0609266 | + | 0.0332684i | ||||
\(673\) | −6.43685 | − | 17.2579i | −0.248122 | − | 0.665241i | −0.999982 | − | 0.00591883i | \(-0.998116\pi\) |
0.751860 | − | 0.659322i | \(-0.229157\pi\) | |||||||
\(674\) | −12.0097 | + | 13.8599i | −0.462595 | + | 0.533863i | ||||
\(675\) | −8.89217 | + | 15.8482i | −0.342260 | + | 0.609997i | ||||
\(676\) | 12.1135 | − | 3.55685i | 0.465905 | − | 0.136802i | ||||
\(677\) | 6.56309 | + | 0.469401i | 0.252240 | + | 0.0180406i | 0.196887 | − | 0.980426i | \(-0.436917\pi\) |
0.0553533 | + | 0.998467i | \(0.482371\pi\) | |||||||
\(678\) | 3.90873 | + | 0.850292i | 0.150114 | + | 0.0326553i | ||||
\(679\) | −17.9791 | − | 27.9761i | −0.689975 | − | 1.07362i | ||||
\(680\) | 4.74633 | + | 3.59588i | 0.182013 | + | 0.137896i | ||||
\(681\) | 2.53658 | + | 8.63880i | 0.0972019 | + | 0.331039i | ||||
\(682\) | −1.72393 | − | 2.30290i | −0.0660127 | − | 0.0881827i | ||||
\(683\) | 2.40500 | + | 33.6263i | 0.0920248 | + | 1.28667i | 0.808264 | + | 0.588820i | \(0.200407\pi\) |
−0.716239 | + | 0.697855i | \(0.754138\pi\) | |||||||
\(684\) | −3.44797 | + | 7.55001i | −0.131837 | + | 0.288682i | ||||
\(685\) | −26.7363 | − | 31.2166i | −1.02154 | − | 1.19273i | ||||
\(686\) | −16.0210 | + | 7.31656i | −0.611685 | + | 0.279347i | ||||
\(687\) | 11.9583 | + | 8.95189i | 0.456239 | + | 0.341536i | ||||
\(688\) | −2.22084 | − | 10.2090i | −0.0846687 | − | 0.389216i | ||||
\(689\) | −3.54836 | −0.135182 | ||||||||
\(690\) | −4.97976 | − | 4.90690i | −0.189576 | − | 0.186802i | ||||
\(691\) | −11.7111 | −0.445510 | −0.222755 | − | 0.974874i | \(-0.571505\pi\) | ||||
−0.222755 | + | 0.974874i | \(0.571505\pi\) | |||||||
\(692\) | −2.47939 | − | 11.3976i | −0.0942522 | − | 0.433270i | ||||
\(693\) | −1.80259 | − | 1.34940i | −0.0684748 | − | 0.0512596i | ||||
\(694\) | −23.8097 | + | 10.8735i | −0.903805 | + | 0.412754i | ||||
\(695\) | −13.9449 | − | 1.07810i | −0.528962 | − | 0.0408945i | ||||
\(696\) | 1.65415 | − | 3.62208i | 0.0627003 | − | 0.137294i | ||||
\(697\) | −1.50938 | − | 21.1039i | −0.0571719 | − | 0.799368i | ||||
\(698\) | 13.4386 | + | 17.9519i | 0.508659 | + | 0.679489i | ||||
\(699\) | 0.434576 | + | 1.48003i | 0.0164372 | + | 0.0559799i | ||||
\(700\) | 4.67393 | + | 12.9861i | 0.176658 | + | 0.490827i | ||||
\(701\) | 7.90767 | + | 12.3046i | 0.298669 | + | 0.464737i | 0.957859 | − | 0.287239i | \(-0.0927373\pi\) |
−0.659191 | + | 0.751976i | \(0.729101\pi\) | |||||||
\(702\) | −2.17503 | − | 0.473150i | −0.0820914 | − | 0.0178579i | ||||
\(703\) | 7.76169 | + | 0.555127i | 0.292738 | + | 0.0209370i | ||||
\(704\) | 0.303963 | − | 0.0892515i | 0.0114560 | − | 0.00336379i | ||||
\(705\) | −10.1072 | + | 0.664417i | −0.380660 | + | 0.0250234i | ||||
\(706\) | 8.23961 | − | 9.50902i | 0.310102 | − | 0.357877i | ||||
\(707\) | −8.79561 | − | 23.5820i | −0.330793 | − | 0.886891i | ||||
\(708\) | 2.29879 | − | 1.25523i | 0.0863938 | − | 0.0471746i | ||||
\(709\) | −0.106146 | − | 0.232428i | −0.00398641 | − | 0.00872901i | 0.907628 | − | 0.419775i | \(-0.137891\pi\) |
−0.911615 | + | 0.411046i | \(0.865164\pi\) | |||||||
\(710\) | −16.9431 | − | 7.85586i | −0.635863 | − | 0.294825i | ||||
\(711\) | −10.4403 | + | 16.2454i | −0.391542 | + | 0.609251i | ||||
\(712\) | −2.64667 | + | 2.64667i | −0.0991883 | + | 0.0991883i | ||||
\(713\) | 17.5693 | − | 39.8475i | 0.657976 | − | 1.49230i | ||||
\(714\) | − | 4.79212i | − | 0.179341i | ||||||
\(715\) | −0.395664 | + | 0.177948i | −0.0147970 | + | 0.00665488i | ||||
\(716\) | 1.44723 | + | 10.0657i | 0.0540855 | + | 0.376173i | ||||
\(717\) | 4.09161 | − | 10.9700i | 0.152804 | − | 0.409683i | ||||
\(718\) | −10.1359 | − | 18.5625i | −0.378268 | − | 0.692746i | ||||
\(719\) | 11.2789 | + | 5.15090i | 0.420632 | + | 0.192096i | 0.614475 | − | 0.788936i | \(-0.289368\pi\) |
−0.193843 | + | 0.981033i | \(0.562095\pi\) | |||||||
\(720\) | 2.78850 | − | 5.03758i | 0.103921 | − | 0.187740i | ||||
\(721\) | −1.81410 | + | 12.6174i | −0.0675607 | + | 0.469895i | ||||
\(722\) | 7.55692 | + | 4.12639i | 0.281239 | + | 0.153568i | ||||
\(723\) | 0.0268757 | − | 0.375771i | 0.000999517 | − | 0.0139751i | ||||
\(724\) | −14.9513 | + | 9.60865i | −0.555662 | + | 0.357103i | ||||
\(725\) | −25.4998 | − | 16.8057i | −0.947039 | − | 0.624150i | ||||
\(726\) | 4.65327 | + | 5.37016i | 0.172699 | + | 0.199305i | ||||
\(727\) | −14.7751 | + | 27.0585i | −0.547977 | + | 1.00355i | 0.446112 | + | 0.894977i | \(0.352808\pi\) |
−0.994089 | + | 0.108568i | \(0.965373\pi\) | |||||||
\(728\) | −1.35334 | + | 1.01310i | −0.0501581 | + | 0.0375479i | ||||
\(729\) | 5.05020 | + | 4.37602i | 0.187044 | + | 0.162075i | ||||
\(730\) | 21.0163 | + | 4.69870i | 0.777847 | + | 0.173907i | ||||
\(731\) | 26.6955 | + | 7.83852i | 0.987370 | + | 0.289918i | ||||
\(732\) | 6.60542 | + | 2.46369i | 0.244143 | + | 0.0910607i | ||||
\(733\) | −27.7729 | + | 37.1002i | −1.02581 | + | 1.37033i | −0.0988817 | + | 0.995099i | \(0.531527\pi\) |
−0.926932 | + | 0.375228i | \(0.877564\pi\) | |||||||
\(734\) | −16.2185 | − | 10.4230i | −0.598634 | − | 0.384719i | ||||
\(735\) | 0.492474 | − | 0.756689i | 0.0181652 | − | 0.0279109i | ||||
\(736\) | 3.43539 | + | 3.34636i | 0.126630 | + | 0.123348i | ||||
\(737\) | −1.72127 | − | 1.72127i | −0.0634039 | − | 0.0634039i | ||||
\(738\) | −19.9910 | + | 4.34878i | −0.735880 | + | 0.160081i | ||||
\(739\) | 11.5958 | − | 1.66723i | 0.426559 | − | 0.0613300i | 0.0743078 | − | 0.997235i | \(-0.476325\pi\) |
0.352251 | + | 0.935905i | \(0.385416\pi\) | |||||||
\(740\) | −5.33868 | − | 0.798985i | −0.196254 | − | 0.0293713i | ||||
\(741\) | 0.362580 | − | 1.23484i | 0.0133197 | − | 0.0453628i | ||||
\(742\) | −14.9844 | + | 5.58888i | −0.550093 | + | 0.205174i | ||||
\(743\) | 19.6035 | − | 1.40207i | 0.719182 | − | 0.0514369i | 0.293049 | − | 0.956097i | \(-0.405330\pi\) |
0.426133 | + | 0.904660i | \(0.359875\pi\) | |||||||
\(744\) | −5.85959 | − | 0.842482i | −0.214823 | − | 0.0308869i | ||||
\(745\) | 20.9985 | + | 38.9880i | 0.769327 | + | 1.42841i | ||||
\(746\) | −0.0368427 | + | 0.0319244i | −0.00134891 | + | 0.00116884i | ||||
\(747\) | 0.559558 | − | 2.57225i | 0.0204731 | − | 0.0941135i | ||||
\(748\) | −0.179326 | + | 0.824348i | −0.00655680 | + | 0.0301411i | ||||
\(749\) | −10.3210 | + | 8.94322i | −0.377122 | + | 0.326778i | ||||
\(750\) | 5.75862 | + | 4.46811i | 0.210275 | + | 0.163152i | ||||
\(751\) | 40.7610 | + | 5.86055i | 1.48739 | + | 0.213855i | 0.837611 | − | 0.546267i | \(-0.183952\pi\) |
0.649780 | + | 0.760122i | \(0.274861\pi\) | |||||||
\(752\) | 6.93072 | − | 0.495695i | 0.252737 | − | 0.0180761i | ||||
\(753\) | 4.49663 | − | 1.67716i | 0.163866 | − | 0.0611190i | ||||
\(754\) | 1.05389 | − | 3.58923i | 0.0383805 | − | 0.130712i | ||||
\(755\) | 10.7445 | − | 7.94713i | 0.391033 | − | 0.289226i | ||||
\(756\) | −9.93018 | + | 1.42774i | −0.361157 | + | 0.0519266i | ||||
\(757\) | 11.8215 | − | 2.57161i | 0.429660 | − | 0.0934669i | 0.00746575 | − | 0.999972i | \(-0.497624\pi\) |
0.422195 | + | 0.906505i | \(0.361260\pi\) | |||||||
\(758\) | −9.25755 | − | 9.25755i | −0.336250 | − | 0.336250i | ||||
\(759\) | 0.333921 | − | 0.932481i | 0.0121206 | − | 0.0338469i | ||||
\(760\) | 6.04088 | + | 3.93156i | 0.219126 | + | 0.142613i | ||||
\(761\) | −24.3584 | − | 15.6542i | −0.882991 | − | 0.567464i | 0.0187095 | − | 0.999825i | \(-0.494044\pi\) |
−0.901701 | + | 0.432361i | \(0.857681\pi\) | |||||||
\(762\) | 5.25596 | − | 7.02114i | 0.190403 | − | 0.254349i | ||||
\(763\) | −20.6275 | − | 7.69364i | −0.746764 | − | 0.278529i | ||||
\(764\) | 12.7795 | + | 3.75241i | 0.462348 | + | 0.135758i | ||||
\(765\) | 8.21536 | + | 12.9466i | 0.297027 | + | 0.468087i | ||||
\(766\) | −20.4233 | − | 17.6969i | −0.737924 | − | 0.639415i | ||||
\(767\) | 1.96976 | − | 1.47455i | 0.0711241 | − | 0.0532428i | ||||
\(768\) | 0.312434 | − | 0.572181i | 0.0112740 | − | 0.0206468i | ||||
\(769\) | −24.3410 | − | 28.0910i | −0.877757 | − | 1.01299i | −0.999791 | − | 0.0204598i | \(-0.993487\pi\) |
0.122033 | − | 0.992526i | \(-0.461058\pi\) | |||||||
\(770\) | −1.39057 | + | 1.37465i | −0.0501127 | + | 0.0495390i | ||||
\(771\) | 3.86565 | − | 2.48430i | 0.139218 | − | 0.0894700i | ||||
\(772\) | 1.66318 | − | 23.2543i | 0.0598592 | − | 0.836941i | ||||
\(773\) | 9.46013 | + | 5.16562i | 0.340257 | + | 0.185794i | 0.640288 | − | 0.768135i | \(-0.278815\pi\) |
−0.300031 | + | 0.953930i | \(0.596997\pi\) | |||||||
\(774\) | 3.82870 | − | 26.6292i | 0.137620 | − | 0.957166i | ||||
\(775\) | −13.2922 | + | 43.4135i | −0.477471 | + | 1.55946i | ||||
\(776\) | 10.9589 | + | 5.00476i | 0.393401 | + | 0.179660i | ||||
\(777\) | 2.08198 | + | 3.81286i | 0.0746905 | + | 0.136785i | ||||
\(778\) | 4.29554 | − | 11.5168i | 0.154003 | − | 0.412897i | ||||
\(779\) | −3.64464 | − | 25.3490i | −0.130583 | − | 0.908223i | ||||
\(780\) | −0.316807 | + | 0.834685i | −0.0113435 | + | 0.0298865i | ||||
\(781\) | − | 2.64589i | − | 0.0946773i | ||||||
\(782\) | −12.2057 | + | 3.75864i | −0.436475 | + | 0.134409i | ||||
\(783\) | 15.6972 | − | 15.6972i | 0.560971 | − | 0.560971i | ||||
\(784\) | −0.334838 | + | 0.521018i | −0.0119585 | + | 0.0186078i | ||||
\(785\) | 13.4252 | − | 28.9547i | 0.479165 | − | 1.03344i | ||||
\(786\) | −3.16590 | − | 6.93235i | −0.112924 | − | 0.247269i | ||||
\(787\) | −21.9909 | + | 12.0079i | −0.783890 | + | 0.428036i | −0.820752 | − | 0.571284i | \(-0.806446\pi\) |
0.0368623 | + | 0.999320i | \(0.488264\pi\) | |||||||
\(788\) | 5.68343 | + | 15.2379i | 0.202464 | + | 0.542826i | ||||
\(789\) | −7.62607 | + | 8.80096i | −0.271495 | + | 0.313322i | ||||
\(790\) | 12.6099 | + | 11.0543i | 0.448640 | + | 0.393294i | ||||
\(791\) | 16.2509 | − | 4.77171i | 0.577817 | − | 0.169662i | ||||
\(792\) | 0.813667 | + | 0.0581946i | 0.0289124 | + | 0.00206786i | ||||
\(793\) | 6.47159 | + | 1.40781i | 0.229813 | + | 0.0499927i | ||||
\(794\) | −4.28451 | − | 6.66682i | −0.152052 | − | 0.236597i | ||||
\(795\) | −5.10028 | + | 6.73204i | −0.180888 | + | 0.238761i | ||||
\(796\) | 2.11282 | + | 7.19560i | 0.0748869 | + | 0.255041i | ||||
\(797\) | 29.2439 | + | 39.0653i | 1.03587 | + | 1.38376i | 0.920635 | + | 0.390425i | \(0.127672\pi\) |
0.115237 | + | 0.993338i | \(0.463237\pi\) | |||||||
\(798\) | −0.413799 | − | 5.78567i | −0.0146483 | − | 0.204810i | ||||
\(799\) | −7.68671 | + | 16.8315i | −0.271936 | + | 0.595457i | ||||
\(800\) | −3.96794 | − | 3.04228i | −0.140288 | − | 0.107561i | ||||
\(801\) | −8.76713 | + | 4.00381i | −0.309771 | + | 0.141468i | ||||
\(802\) | 11.1587 | + | 8.35327i | 0.394026 | + | 0.294964i | ||||
\(803\) | 0.648535 | + | 2.98127i | 0.0228863 | + | 0.105207i | ||||
\(804\) | −5.00937 | −0.176667 | ||||||||
\(805\) | −28.4627 | − | 8.13005i | −1.00318 | − | 0.286547i | ||||
\(806\) | −5.56132 | −0.195889 | ||||||||
\(807\) | −2.45568 | − | 11.2886i | −0.0864439 | − | 0.397376i | ||||
\(808\) | 7.29943 | + | 5.46428i | 0.256793 | + | 0.192233i | ||||
\(809\) | 26.4368 | − | 12.0733i | 0.929468 | − | 0.424474i | 0.107627 | − | 0.994191i | \(-0.465675\pi\) |
0.821841 | + | 0.569718i | \(0.192947\pi\) | |||||||
\(810\) | 9.09543 | − | 7.79000i | 0.319581 | − | 0.273713i | ||||
\(811\) | −6.40557 | + | 14.0262i | −0.224930 | + | 0.492528i | −0.988127 | − | 0.153637i | \(-0.950901\pi\) |
0.763197 | + | 0.646166i | \(0.223628\pi\) | |||||||
\(812\) | −1.20277 | − | 16.8169i | −0.0422088 | − | 0.590156i | ||||
\(813\) | 11.3769 | + | 15.1977i | 0.399005 | + | 0.533008i | ||||
\(814\) | −0.215464 | − | 0.733802i | −0.00755200 | − | 0.0257198i | ||||
\(815\) | 3.62409 | + | 26.2794i | 0.126946 | + | 0.920526i | ||||
\(816\) | 0.938595 | + | 1.46048i | 0.0328574 | + | 0.0511271i | ||||
\(817\) | 32.9071 | + | 7.15851i | 1.15127 | + | 0.250444i | ||||
\(818\) | 1.46110 | + | 0.104500i | 0.0510861 | + | 0.00365375i | ||||
\(819\) | −4.17678 | + | 1.22641i | −0.145948 | + | 0.0428543i | ||||
\(820\) | 1.16535 | + | 17.7275i | 0.0406957 | + | 0.619071i | ||||
\(821\) | 34.3007 | − | 39.5851i | 1.19710 | − | 1.38153i | 0.291956 | − | 0.956432i | \(-0.405694\pi\) |
0.905147 | − | 0.425099i | \(-0.139761\pi\) | |||||||
\(822\) | −4.18764 | − | 11.2275i | −0.146061 | − | 0.391604i | ||||
\(823\) | 3.01630 | − | 1.64702i | 0.105142 | − | 0.0574116i | −0.425818 | − | 0.904809i | \(-0.640014\pi\) |
0.530959 | + | 0.847397i | \(0.321832\pi\) | |||||||
\(824\) | −1.91838 | − | 4.20067i | −0.0668301 | − | 0.146337i | ||||
\(825\) | −0.231106 | + | 1.00644i | −0.00804609 | + | 0.0350397i | ||||
\(826\) | 5.99561 | − | 9.32935i | 0.208614 | − | 0.324610i | ||||
\(827\) | 27.7239 | − | 27.7239i | 0.964054 | − | 0.964054i | −0.0353224 | − | 0.999376i | \(-0.511246\pi\) |
0.999376 | + | 0.0353224i | \(0.0112458\pi\) | |||||||
\(828\) | 5.27707 | + | 11.1650i | 0.183391 | + | 0.388009i | ||||
\(829\) | 5.54125i | 0.192455i | 0.995359 | + | 0.0962277i | \(0.0306777\pi\) | ||||
−0.995359 | + | 0.0962277i | \(0.969322\pi\) | |||||||
\(830\) | −2.13716 | − | 0.811166i | −0.0741819 | − | 0.0281560i | ||||
\(831\) | −2.18328 | − | 15.1851i | −0.0757372 | − | 0.526764i | ||||
\(832\) | 0.214026 | − | 0.573827i | 0.00742003 | − | 0.0198939i | ||||
\(833\) | −0.790422 | − | 1.44755i | −0.0273865 | − | 0.0501546i | ||||
\(834\) | −3.70927 | − | 1.69397i | −0.128442 | − | 0.0586573i | ||||
\(835\) | 8.25356 | + | 28.7197i | 0.285626 | + | 0.993887i | ||||
\(836\) | −0.145323 | + | 1.01074i | −0.00502610 | + | 0.0349573i | ||||
\(837\) | −28.9661 | − | 15.8167i | −1.00122 | − | 0.546706i | ||||
\(838\) | 0.00981441 | − | 0.137223i | 0.000339033 | − | 0.00474030i | ||||
\(839\) | 17.9179 | − | 11.5151i | 0.618595 | − | 0.397547i | −0.193477 | − | 0.981105i | \(-0.561976\pi\) |
0.812071 | + | 0.583558i | \(0.198340\pi\) | |||||||
\(840\) | −0.0231673 | + | 4.02378i | −0.000799349 | + | 0.138833i | ||||
\(841\) | 5.43986 | + | 6.27793i | 0.187581 | + | 0.216480i | ||||
\(842\) | −15.8644 | + | 29.0534i | −0.546722 | + | 1.00125i | ||||
\(843\) | −12.6959 | + | 9.50402i | −0.437270 | + | 0.327336i | ||||
\(844\) | 17.5817 | + | 15.2347i | 0.605189 | + | 0.524399i | ||||
\(845\) | 6.15948 | − | 27.5500i | 0.211892 | − | 0.947749i | ||||
\(846\) | 17.1674 | + | 5.04080i | 0.590227 | + | 0.173306i | ||||
\(847\) | 28.1895 | + | 10.5141i | 0.968602 | + | 0.361270i | ||||
\(848\) | 3.47210 | − | 4.63818i | 0.119232 | − | 0.159276i | ||||
\(849\) | −1.22257 | − | 0.785698i | −0.0419585 | − | 0.0269651i | ||||
\(850\) | 12.1747 | − | 5.39143i | 0.417587 | − | 0.184925i | ||||
\(851\) | 8.07851 | − | 8.29344i | 0.276928 | − | 0.284295i | ||||
\(852\) | −3.85013 | − | 3.85013i | −0.131903 | − | 0.131903i | ||||
\(853\) | −53.4367 | + | 11.6244i | −1.82964 | + | 0.398013i | −0.989520 | − | 0.144394i | \(-0.953877\pi\) |
−0.840116 | + | 0.542407i | \(0.817513\pi\) | |||||||
\(854\) | 29.5462 | − | 4.24811i | 1.01105 | − | 0.145367i | ||||
\(855\) | 11.0366 | + | 14.9214i | 0.377443 | + | 0.510303i | ||||
\(856\) | 1.39387 | − | 4.74710i | 0.0476416 | − | 0.162253i | ||||
\(857\) | −21.5631 | + | 8.04263i | −0.736583 | + | 0.274731i | −0.689626 | − | 0.724166i | \(-0.742225\pi\) |
−0.0469568 | + | 0.998897i | \(0.514952\pi\) | |||||||
\(858\) | −0.126163 | + | 0.00902337i | −0.00430714 | + | 0.000308053i | ||||
\(859\) | −54.0648 | − | 7.77335i | −1.84467 | − | 0.265223i | −0.870684 | − | 0.491842i | \(-0.836324\pi\) |
−0.973983 | + | 0.226619i | \(0.927233\pi\) | |||||||
\(860\) | −22.3774 | − | 6.71078i | −0.763063 | − | 0.228836i | ||||
\(861\) | 10.8052 | − | 9.36276i | 0.368240 | − | 0.319082i | ||||
\(862\) | 6.73173 | − | 30.9453i | 0.229284 | − | 1.05400i | ||||
\(863\) | 9.96267 | − | 45.7977i | 0.339133 | − | 1.55897i | −0.419686 | − | 0.907669i | \(-0.637860\pi\) |
0.758819 | − | 0.651301i | \(-0.225777\pi\) | |||||||
\(864\) | 2.74675 | − | 2.38008i | 0.0934465 | − | 0.0809718i | ||||
\(865\) | −24.9826 | − | 7.49205i | −0.849433 | − | 0.254737i | ||||
\(866\) | 36.7206 | + | 5.27963i | 1.24782 | + | 0.179409i | ||||
\(867\) | 6.44307 | − | 0.460818i | 0.218818 | − | 0.0156502i | ||||
\(868\) | −23.4849 | + | 8.75940i | −0.797128 | + | 0.297313i | ||||
\(869\) | −0.669335 | + | 2.27954i | −0.0227056 | + | 0.0773282i | ||||
\(870\) | −5.29474 | − | 7.15849i | −0.179509 | − | 0.242695i | ||||
\(871\) | −4.65808 | + | 0.669731i | −0.157833 | + | 0.0226930i | ||||
\(872\) | 7.79347 | − | 1.69536i | 0.263920 | − | 0.0574123i | ||||
\(873\) | 21.9362 | + | 21.9362i | 0.742429 | + | 0.742429i | ||||
\(874\) | −14.4117 | + | 5.59187i | −0.487484 | + | 0.189148i | ||||
\(875\) | 30.4667 | + | 4.91896i | 1.02996 | + | 0.166291i | ||||
\(876\) | 5.28186 | + | 3.39444i | 0.178457 | + | 0.114688i | ||||
\(877\) | −1.07608 | + | 1.43747i | −0.0363365 | + | 0.0485399i | −0.818342 | − | 0.574732i | \(-0.805106\pi\) |
0.782005 | + | 0.623272i | \(0.214197\pi\) | |||||||
\(878\) | 9.31678 | + | 3.47498i | 0.314426 | + | 0.117275i | ||||
\(879\) | 16.0180 | + | 4.70332i | 0.540275 | + | 0.158639i | ||||
\(880\) | 0.154559 | − | 0.691309i | 0.00521018 | − | 0.0233040i | ||||
\(881\) | −36.2934 | − | 31.4484i | −1.22276 | − | 1.05952i | −0.996339 | − | 0.0854948i | \(-0.972753\pi\) |
−0.226418 | − | 0.974030i | \(-0.572702\pi\) | |||||||
\(882\) | −1.27669 | + | 0.955718i | −0.0429884 | + | 0.0321807i | ||||
\(883\) | −2.42340 | + | 4.43813i | −0.0815540 | + | 0.149355i | −0.915273 | − | 0.402834i | \(-0.868025\pi\) |
0.833719 | + | 0.552189i | \(0.186207\pi\) | |||||||
\(884\) | 1.06804 | + | 1.23258i | 0.0359219 | + | 0.0414561i | ||||
\(885\) | 0.0337197 | − | 5.85654i | 0.00113347 | − | 0.196866i | ||||
\(886\) | 32.5323 | − | 20.9072i | 1.09294 | − | 0.702393i | ||||
\(887\) | 1.51833 | − | 21.2290i | 0.0509806 | − | 0.712802i | −0.906115 | − | 0.423031i | \(-0.860966\pi\) |
0.957096 | − | 0.289771i | \(-0.0935792\pi\) | |||||||
\(888\) | −1.38131 | − | 0.754254i | −0.0463538 | − | 0.0253111i | ||||
\(889\) | 5.28488 | − | 36.7572i | 0.177249 | − | 1.23280i | ||||
\(890\) | 2.31169 | + | 8.04393i | 0.0774880 | + | 0.269633i | ||||
\(891\) | 1.54330 | + | 0.704802i | 0.0517025 | + | 0.0236118i | ||||
\(892\) | −3.17093 | − | 5.80713i | −0.106171 | − | 0.194437i | ||||
\(893\) | −7.82698 | + | 20.9849i | −0.261920 | + | 0.702234i | ||||
\(894\) | 1.83739 | + | 12.7793i | 0.0614515 | + | 0.427405i | ||||
\(895\) | 21.2592 | + | 8.06901i | 0.710618 | + | 0.269717i | ||||
\(896\) | − | 2.76031i | − | 0.0922156i | ||||||
\(897\) | −1.05628 | − | 1.59711i | −0.0352682 | − | 0.0533261i | ||||
\(898\) | 13.1625 | − | 13.1625i | 0.439239 | − | 0.439239i | ||||
\(899\) | 29.9859 | − | 46.6589i | 1.00008 | − | 1.55616i | ||||
\(900\) | −6.83555 | − | 10.9105i | −0.227852 | − | 0.363685i | ||||
\(901\) | 6.40941 | + | 14.0346i | 0.213528 | + | 0.467562i | ||||
\(902\) | −2.20909 | + | 1.20625i | −0.0735546 | + | 0.0401639i | ||||
\(903\) | 6.57027 | + | 17.6156i | 0.218645 | + | 0.586210i | ||||
\(904\) | −4.01816 | + | 4.63720i | −0.133642 | + | 0.154231i | ||||
\(905\) | 2.60681 | + | 39.6554i | 0.0866535 | + | 1.31819i | ||||
\(906\) | 3.73850 | − | 1.09772i | 0.124203 | − | 0.0364694i | ||||
\(907\) | 28.0297 | + | 2.00472i | 0.930710 | + | 0.0665657i | 0.528454 | − | 0.848962i | \(-0.322772\pi\) |
0.402256 | + | 0.915527i | \(0.368226\pi\) | |||||||
\(908\) | −13.4950 | − | 2.93566i | −0.447848 | − | 0.0974234i | ||||
\(909\) | 12.6938 | + | 19.7519i | 0.421025 | + | 0.655128i | ||||
\(910\) | 0.516419 | + | 3.74470i | 0.0171191 | + | 0.124136i | ||||
\(911\) | 1.96962 | + | 6.70790i | 0.0652563 | + | 0.222243i | 0.985665 | − | 0.168715i | \(-0.0539619\pi\) |
−0.920408 | + | 0.390958i | \(0.872144\pi\) | |||||||
\(912\) | 1.25930 | + | 1.68223i | 0.0416997 | + | 0.0557043i | ||||
\(913\) | −0.0231038 | − | 0.323033i | −0.000764624 | − | 0.0106908i | ||||
\(914\) | 2.05692 | − | 4.50403i | 0.0680370 | − | 0.148980i | ||||
\(915\) | 11.9729 | − | 10.2545i | 0.395813 | − | 0.339004i | ||||
\(916\) | −20.8428 | + | 9.51857i | −0.688664 | + | 0.314502i | ||||
\(917\) | −25.8321 | − | 19.3377i | −0.853051 | − | 0.638586i | ||||
\(918\) | 2.05734 | + | 9.45744i | 0.0679024 | + | 0.312142i | ||||
\(919\) | 7.24774 | 0.239081 | 0.119540 | − | 0.992829i | \(-0.461858\pi\) | ||||
0.119540 | + | 0.992829i | \(0.461858\pi\) | |||||||
\(920\) | 10.2669 | − | 3.09699i | 0.338489 | − | 0.102105i | ||||
\(921\) | −7.83814 | −0.258275 | ||||||||
\(922\) | 4.19573 | + | 19.2875i | 0.138179 | + | 0.635198i | ||||
\(923\) | −4.09488 | − | 3.06539i | −0.134785 | − | 0.100898i | ||||
\(924\) | −0.518561 | + | 0.236819i | −0.0170594 | + | 0.00779078i | ||||
\(925\) | −7.34443 | + | 9.57908i | −0.241483 | + | 0.314958i | ||||
\(926\) | −5.89248 | + | 12.9027i | −0.193639 | + | 0.424010i | ||||
\(927\) | −0.848316 | − | 11.8610i | −0.0278624 | − | 0.389567i | ||||
\(928\) | 3.66035 | + | 4.88966i | 0.120157 | + | 0.160511i | ||||
\(929\) | −13.1265 | − | 44.7047i | −0.430666 | − | 1.46671i | −0.834053 | − | 0.551684i | \(-0.813986\pi\) |
0.403388 | − | 0.915029i | \(-0.367833\pi\) | |||||||
\(930\) | −7.99363 | + | 10.5511i | −0.262121 | + | 0.345983i | ||||
\(931\) | −1.07929 | − | 1.67941i | −0.0353724 | − | 0.0550406i | ||||
\(932\) | −2.31202 | − | 0.502948i | −0.0757326 | − | 0.0164746i | ||||
\(933\) | −11.0189 | − | 0.788088i | −0.360743 | − | 0.0258009i | ||||
\(934\) | 20.8939 | − | 6.13499i | 0.683668 | − | 0.200743i | ||||
\(935\) | 1.41852 | + | 1.24352i | 0.0463904 | + | 0.0406675i | ||||
\(936\) | 1.03274 | − | 1.19184i | 0.0337561 | − | 0.0389566i | ||||
\(937\) | −15.9784 | − | 42.8398i | −0.521992 | − | 1.39952i | −0.884064 | − | 0.467365i | \(-0.845203\pi\) |
0.362072 | − | 0.932150i | \(-0.382069\pi\) | |||||||
\(938\) | −18.6157 | + | 10.1650i | −0.607825 | + | 0.331898i | ||||
\(939\) | −4.82359 | − | 10.5622i | −0.157412 | − | 0.344684i | ||||
\(940\) | 6.53563 | − | 14.0957i | 0.213169 | − | 0.459751i | ||||
\(941\) | 5.27804 | − | 8.21278i | 0.172059 | − | 0.267729i | −0.744505 | − | 0.667617i | \(-0.767315\pi\) |
0.916564 | + | 0.399888i | \(0.130951\pi\) | |||||||
\(942\) | 6.57963 | − | 6.57963i | 0.214376 | − | 0.214376i | ||||
\(943\) | −32.3222 | − | 20.1777i | −1.05256 | − | 0.657075i | ||||
\(944\) | 4.01760i | 0.130762i | ||||||||
\(945\) | −7.96038 | + | 20.9730i | −0.258951 | + | 0.682252i | ||||
\(946\) | −0.471035 | − | 3.27612i | −0.0153147 | − | 0.106516i | ||||
\(947\) | −18.1408 | + | 48.6375i | −0.589498 | + | 1.58051i | 0.208615 | + | 0.977998i | \(0.433105\pi\) |
−0.798113 | + | 0.602508i | \(0.794168\pi\) | |||||||
\(948\) | 2.34308 | + | 4.29102i | 0.0760996 | + | 0.139366i | ||||
\(949\) | 5.36528 | + | 2.45024i | 0.174164 | + | 0.0795383i | ||||
\(950\) | 14.2333 | − | 7.56050i | 0.461788 | − | 0.245295i | ||||
\(951\) | −1.83038 | + | 12.7306i | −0.0593542 | + | 0.412817i | ||||
\(952\) | 6.45158 | + | 3.52283i | 0.209097 | + | 0.114176i | ||||
\(953\) | −0.0476903 | + | 0.666798i | −0.00154484 | + | 0.0215997i | −0.998166 | − | 0.0605352i | \(-0.980719\pi\) |
0.996621 | + | 0.0821349i | \(0.0261738\pi\) | |||||||
\(954\) | 12.5507 | − | 8.06582i | 0.406343 | − | 0.261141i | ||||
\(955\) | 21.1802 | − | 20.9377i | 0.685375 | − | 0.677528i | ||||
\(956\) | 11.7610 | + | 13.5729i | 0.380377 | + | 0.438978i | ||||
\(957\) | 0.604549 | − | 1.10715i | 0.0195423 | − | 0.0357891i | ||||
\(958\) | −24.3189 | + | 18.2049i | −0.785708 | + | 0.588174i | ||||
\(959\) | −38.3447 | − | 33.2259i | −1.23822 | − | 1.07292i | ||||
\(960\) | −0.781044 | − | 1.23085i | −0.0252081 | − | 0.0397256i | ||||
\(961\) | −49.3724 | − | 14.4970i | −1.59266 | − | 0.467647i | ||||
\(962\) | −1.38529 | − | 0.516685i | −0.0446634 | − | 0.0166586i | ||||
\(963\) | 7.63468 | − | 10.1987i | 0.246024 | − | 0.328650i | ||||
\(964\) | 0.486139 | + | 0.312423i | 0.0156575 | + | 0.0100625i | ||||
\(965\) | −43.6924 | − | 28.4362i | −1.40651 | − | 0.915393i | ||||
\(966\) | −6.97611 | − | 5.08074i | −0.224453 | − | 0.163470i | ||||
\(967\) | −18.4956 | − | 18.4956i | −0.594777 | − | 0.594777i | 0.344141 | − | 0.938918i | \(-0.388170\pi\) |
−0.938918 | + | 0.344141i | \(0.888170\pi\) | |||||||
\(968\) | −10.6505 | + | 2.31689i | −0.342322 | + | 0.0744675i | ||||
\(969\) | −5.53900 | + | 0.796388i | −0.177938 | + | 0.0255837i | ||||
\(970\) | 21.6586 | − | 16.0197i | 0.695416 | − | 0.514361i | ||||
\(971\) | 7.37991 | − | 25.1337i | 0.236833 | − | 0.806577i | −0.752207 | − | 0.658927i | \(-0.771011\pi\) |
0.989040 | − | 0.147651i | \(-0.0471711\pi\) | |||||||
\(972\) | 13.4873 | − | 5.03049i | 0.432604 | − | 0.161353i | ||||
\(973\) | −17.2217 | + | 1.23172i | −0.552103 | + | 0.0394872i | ||||
\(974\) | 19.7065 | + | 2.83336i | 0.631436 | + | 0.0907868i | ||||
\(975\) | 1.28986 | + | 1.52368i | 0.0413085 | + | 0.0487967i | ||||
\(976\) | −8.17268 | + | 7.08167i | −0.261601 | + | 0.226679i | ||||
\(977\) | 7.45039 | − | 34.2489i | 0.238359 | − | 1.09572i | −0.689934 | − | 0.723872i | \(-0.742361\pi\) |
0.928294 | − | 0.371848i | \(-0.121276\pi\) | |||||||
\(978\) | −1.64403 | + | 7.55750i | −0.0525704 | + | 0.241662i | ||||
\(979\) | −0.896132 | + | 0.776502i | −0.0286405 | + | 0.0248171i | ||||
\(980\) | 0.656691 | + | 1.21928i | 0.0209772 | + | 0.0389484i | ||||
\(981\) | 20.3284 | + | 2.92279i | 0.649037 | + | 0.0933174i | ||||
\(982\) | 31.9273 | − | 2.28349i | 1.01884 | − | 0.0728689i | ||||
\(983\) | −39.8425 | + | 14.8605i | −1.27078 | + | 0.473975i | −0.892219 | − | 0.451602i | \(-0.850853\pi\) |
−0.378558 | + | 0.925578i | \(0.623580\pi\) | |||||||
\(984\) | −1.45926 | + | 4.96979i | −0.0465196 | + | 0.158431i | ||||
\(985\) | 35.9652 | + | 5.38255i | 1.14595 | + | 0.171502i | ||||
\(986\) | −16.0999 | + | 2.31482i | −0.512726 | + | 0.0737188i | ||||
\(987\) | −12.2181 | + | 2.65787i | −0.388905 | + | 0.0846011i | ||||
\(988\) | 1.39590 | + | 1.39590i | 0.0444095 | + | 0.0444095i | ||||
\(989\) | 39.7142 | − | 30.5513i | 1.26284 | − | 0.971474i | ||||
\(990\) | 0.994981 | − | 1.52880i | 0.0316226 | − | 0.0485883i | ||||
\(991\) | −35.2269 | − | 22.6390i | −1.11902 | − | 0.719150i | −0.155779 | − | 0.987792i | \(-0.549789\pi\) |
−0.963240 | + | 0.268642i | \(0.913425\pi\) | |||||||
\(992\) | 5.44178 | − | 7.26937i | 0.172777 | − | 0.230803i | ||||
\(993\) | 10.9663 | + | 4.09020i | 0.348004 | + | 0.129799i | ||||
\(994\) | −22.1204 | − | 6.49514i | −0.701617 | − | 0.206013i | ||||
\(995\) | 16.3651 | + | 3.65882i | 0.518809 | + | 0.115992i | ||||
\(996\) | −0.503676 | − | 0.436438i | −0.0159596 | − | 0.0138291i | ||||
\(997\) | −33.2259 | + | 24.8726i | −1.05228 | + | 0.787724i | −0.977809 | − | 0.209500i | \(-0.932816\pi\) |
−0.0744670 | + | 0.997223i | \(0.523726\pi\) | |||||||
\(998\) | 16.2862 | − | 29.8260i | 0.515532 | − | 0.944126i | ||||
\(999\) | −5.74579 | − | 6.63099i | −0.181789 | − | 0.209795i |
(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 | 230.2.l.a.67.10 | yes | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.113.9 | yes | 240 | |
23.11 | odd | 22 | inner | 230.2.l.a.57.9 | ✓ | 240 | |
115.103 | even | 44 | inner | 230.2.l.a.103.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.57.9 | ✓ | 240 | 23.11 | odd | 22 | inner | |
230.2.l.a.67.10 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.103.10 | yes | 240 | 115.103 | even | 44 | inner | |
230.2.l.a.113.9 | yes | 240 | 5.3 | odd | 4 | inner |