Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 185.4 | ||
Character | \(\chi\) | \(=\) | 189.185 |
Dual form | 189.2.bd.a.47.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.06025 | + | 0.363278i | −1.45682 | + | 0.256876i | −0.845274 | − | 0.534333i | \(-0.820563\pi\) |
−0.611545 | + | 0.791210i | \(0.709452\pi\) | |||||||
\(3\) | −1.46652 | + | 0.921586i | −0.846695 | + | 0.532078i | ||||
\(4\) | 2.23328 | − | 0.812849i | 1.11664 | − | 0.406425i | ||||
\(5\) | 0.338534 | − | 0.123216i | 0.151397 | − | 0.0551040i | −0.265210 | − | 0.964191i | \(-0.585441\pi\) |
0.416607 | + | 0.909087i | \(0.363219\pi\) | |||||||
\(6\) | 2.68661 | − | 2.43145i | 1.09680 | − | 0.992637i | ||||
\(7\) | 1.84499 | − | 1.89632i | 0.697340 | − | 0.716741i | ||||
\(8\) | −0.682329 | + | 0.393943i | −0.241240 | + | 0.139280i | ||||
\(9\) | 1.30136 | − | 2.70305i | 0.433787 | − | 0.901016i | ||||
\(10\) | −0.652704 | + | 0.376839i | −0.206403 | + | 0.119167i | ||||
\(11\) | −2.14028 | + | 5.88038i | −0.645320 | + | 1.77300i | −0.0109905 | + | 0.999940i | \(0.503498\pi\) |
−0.634330 | + | 0.773063i | \(0.718724\pi\) | |||||||
\(12\) | −2.52605 | + | 3.25022i | −0.729207 | + | 0.938258i | ||||
\(13\) | 0.429890 | + | 1.18111i | 0.119230 | + | 0.327582i | 0.984923 | − | 0.172994i | \(-0.0553440\pi\) |
−0.865693 | + | 0.500576i | \(0.833122\pi\) | |||||||
\(14\) | −3.11225 | + | 4.57714i | −0.831784 | + | 1.22329i | ||||
\(15\) | −0.382913 | + | 0.492688i | −0.0988676 | + | 0.127211i | ||||
\(16\) | −2.37852 | + | 1.99582i | −0.594631 | + | 0.498954i | ||||
\(17\) | −0.468609 | − | 0.811655i | −0.113654 | − | 0.196855i | 0.803587 | − | 0.595188i | \(-0.202922\pi\) |
−0.917241 | + | 0.398332i | \(0.869589\pi\) | |||||||
\(18\) | −1.69917 | + | 6.04172i | −0.400499 | + | 1.42405i | ||||
\(19\) | 6.61941 | + | 3.82172i | 1.51860 | + | 0.876762i | 0.999760 | + | 0.0218885i | \(0.00696789\pi\) |
0.518836 | + | 0.854874i | \(0.326365\pi\) | |||||||
\(20\) | 0.655887 | − | 0.550354i | 0.146661 | − | 0.123063i | ||||
\(21\) | −0.958091 | + | 4.48130i | −0.209073 | + | 0.977900i | ||||
\(22\) | 2.27331 | − | 12.8926i | 0.484672 | − | 2.74871i | ||||
\(23\) | 1.68421 | + | 0.296971i | 0.351181 | + | 0.0619228i | 0.346456 | − | 0.938066i | \(-0.387385\pi\) |
0.00472501 | + | 0.999989i | \(0.498496\pi\) | |||||||
\(24\) | 0.637596 | − | 1.20655i | 0.130149 | − | 0.246286i | ||||
\(25\) | −3.73080 | + | 3.13051i | −0.746160 | + | 0.626102i | ||||
\(26\) | −1.31476 | − | 2.27722i | −0.257845 | − | 0.446600i | ||||
\(27\) | 0.582620 | + | 5.16339i | 0.112125 | + | 0.993694i | ||||
\(28\) | 2.57896 | − | 5.73471i | 0.487378 | − | 1.08376i | ||||
\(29\) | −0.731568 | + | 2.00997i | −0.135849 | + | 0.373241i | −0.988899 | − | 0.148587i | \(-0.952528\pi\) |
0.853051 | + | 0.521828i | \(0.174750\pi\) | |||||||
\(30\) | 0.609914 | − | 1.15416i | 0.111355 | − | 0.210721i | ||||
\(31\) | 1.98478 | + | 5.45314i | 0.356477 | + | 0.979412i | 0.980242 | + | 0.197801i | \(0.0633799\pi\) |
−0.623765 | + | 0.781612i | \(0.714398\pi\) | |||||||
\(32\) | 5.18821 | − | 6.18306i | 0.917154 | − | 1.09302i | ||||
\(33\) | −2.28051 | − | 10.5962i | −0.396986 | − | 1.84455i | ||||
\(34\) | 1.26031 | + | 1.50198i | 0.216141 | + | 0.257587i | ||||
\(35\) | 0.390934 | − | 0.869301i | 0.0660799 | − | 0.146939i | ||||
\(36\) | 0.709137 | − | 7.09448i | 0.118189 | − | 1.18241i | ||||
\(37\) | −3.33513 | −0.548292 | −0.274146 | − | 0.961688i | \(-0.588395\pi\) | ||||
−0.274146 | + | 0.961688i | \(0.588395\pi\) | |||||||
\(38\) | −15.0260 | − | 5.46902i | −2.43754 | − | 0.887192i | ||||
\(39\) | −1.71894 | − | 1.33595i | −0.275251 | − | 0.213923i | ||||
\(40\) | −0.182451 | + | 0.217437i | −0.0288481 | + | 0.0343798i | ||||
\(41\) | 8.66669 | − | 3.15442i | 1.35351 | − | 0.492637i | 0.439468 | − | 0.898258i | \(-0.355167\pi\) |
0.914041 | + | 0.405621i | \(0.132945\pi\) | |||||||
\(42\) | 0.345950 | − | 9.58067i | 0.0533812 | − | 1.47833i | ||||
\(43\) | −0.688669 | − | 3.90564i | −0.105021 | − | 0.595604i | −0.991212 | − | 0.132284i | \(-0.957769\pi\) |
0.886191 | − | 0.463320i | \(-0.153342\pi\) | |||||||
\(44\) | 14.8723i | 2.24208i | ||||||||
\(45\) | 0.107495 | − | 1.07542i | 0.0160244 | − | 0.160315i | ||||
\(46\) | −3.57777 | −0.527514 | ||||||||
\(47\) | 4.74048 | + | 1.72539i | 0.691470 | + | 0.251674i | 0.663764 | − | 0.747942i | \(-0.268958\pi\) |
0.0277052 | + | 0.999616i | \(0.491180\pi\) | |||||||
\(48\) | 1.64883 | − | 5.11892i | 0.237989 | − | 0.738852i | ||||
\(49\) | −0.192044 | − | 6.99737i | −0.0274348 | − | 0.999624i | ||||
\(50\) | 6.54914 | − | 7.80496i | 0.926189 | − | 1.10379i | ||||
\(51\) | 1.43524 | + | 0.758445i | 0.200973 | + | 0.106204i | ||||
\(52\) | 1.92013 | + | 2.28833i | 0.266275 | + | 0.317334i | ||||
\(53\) | 3.01037 | + | 1.73804i | 0.413506 | + | 0.238738i | 0.692295 | − | 0.721614i | \(-0.256600\pi\) |
−0.278789 | + | 0.960352i | \(0.589933\pi\) | |||||||
\(54\) | −3.07609 | − | 10.4262i | −0.418603 | − | 1.41883i | ||||
\(55\) | 2.25443i | 0.303987i | ||||||||
\(56\) | −0.511847 | + | 2.02073i | −0.0683984 | + | 0.270032i | ||||
\(57\) | −13.2295 | + | 0.495729i | −1.75229 | + | 0.0656609i | ||||
\(58\) | 0.777037 | − | 4.40680i | 0.102030 | − | 0.578641i | ||||
\(59\) | 4.89583 | + | 4.10809i | 0.637383 | + | 0.534828i | 0.903213 | − | 0.429192i | \(-0.141202\pi\) |
−0.265830 | + | 0.964020i | \(0.585646\pi\) | |||||||
\(60\) | −0.454672 | + | 1.41156i | −0.0586979 | + | 0.182232i | ||||
\(61\) | −3.57768 | + | 9.82960i | −0.458075 | + | 1.25855i | 0.468840 | + | 0.883283i | \(0.344672\pi\) |
−0.926916 | + | 0.375269i | \(0.877550\pi\) | |||||||
\(62\) | −6.07015 | − | 10.5138i | −0.770910 | − | 1.33526i | ||||
\(63\) | −2.72484 | − | 7.45488i | −0.343298 | − | 0.939226i | ||||
\(64\) | −5.33790 | + | 9.24552i | −0.667238 | + | 1.15569i | ||||
\(65\) | 0.291065 | + | 0.346878i | 0.0361022 | + | 0.0430249i | ||||
\(66\) | 8.54777 | + | 21.0023i | 1.05216 | + | 2.58520i | ||||
\(67\) | −0.0504771 | + | 0.286270i | −0.00616676 | + | 0.0349734i | −0.987736 | − | 0.156134i | \(-0.950097\pi\) |
0.981569 | + | 0.191108i | \(0.0612079\pi\) | |||||||
\(68\) | −1.70629 | − | 1.43175i | −0.206918 | − | 0.173625i | ||||
\(69\) | −2.74361 | + | 1.11663i | −0.330291 | + | 0.134426i | ||||
\(70\) | −0.489624 | + | 1.93300i | −0.0585213 | + | 0.231037i | ||||
\(71\) | −4.18316 | − | 2.41515i | −0.496450 | − | 0.286625i | 0.230797 | − | 0.973002i | \(-0.425867\pi\) |
−0.727246 | + | 0.686377i | \(0.759200\pi\) | |||||||
\(72\) | 0.176891 | + | 2.35703i | 0.0208467 | + | 0.277778i | ||||
\(73\) | − | 3.69086i | − | 0.431983i | −0.976395 | − | 0.215992i | \(-0.930702\pi\) | ||
0.976395 | − | 0.215992i | \(-0.0692984\pi\) | |||||||
\(74\) | 6.87121 | − | 1.21158i | 0.798762 | − | 0.140843i | ||||
\(75\) | 2.58625 | − | 8.02921i | 0.298635 | − | 0.927133i | ||||
\(76\) | 17.8895 | + | 3.15440i | 2.05207 | + | 0.361835i | ||||
\(77\) | 7.20228 | + | 14.9079i | 0.820776 | + | 1.69891i | ||||
\(78\) | 4.02677 | + | 2.12793i | 0.455942 | + | 0.240941i | ||||
\(79\) | 1.79265 | + | 10.1666i | 0.201689 | + | 1.14384i | 0.902565 | + | 0.430553i | \(0.141682\pi\) |
−0.700876 | + | 0.713283i | \(0.747207\pi\) | |||||||
\(80\) | −0.559294 | + | 0.968725i | −0.0625309 | + | 0.108307i | ||||
\(81\) | −5.61293 | − | 7.03527i | −0.623659 | − | 0.781697i | ||||
\(82\) | −16.7096 | + | 9.64732i | −1.84527 | + | 1.06537i | ||||
\(83\) | −6.06917 | − | 2.20900i | −0.666178 | − | 0.242469i | −0.0132766 | − | 0.999912i | \(-0.504226\pi\) |
−0.652901 | + | 0.757443i | \(0.726448\pi\) | |||||||
\(84\) | 1.50293 | + | 10.7868i | 0.163983 | + | 1.17694i | ||||
\(85\) | −0.258650 | − | 0.217033i | −0.0280545 | − | 0.0235405i | ||||
\(86\) | 2.83766 | + | 7.79642i | 0.305993 | + | 0.840709i | ||||
\(87\) | −0.779497 | − | 3.62186i | −0.0835709 | − | 0.388304i | ||||
\(88\) | −0.856156 | − | 4.85550i | −0.0912665 | − | 0.517598i | ||||
\(89\) | 2.56195 | − | 4.43743i | 0.271566 | − | 0.470367i | −0.697697 | − | 0.716393i | \(-0.745792\pi\) |
0.969263 | + | 0.246026i | \(0.0791250\pi\) | |||||||
\(90\) | 0.169211 | + | 2.25469i | 0.0178364 | + | 0.237666i | ||||
\(91\) | 3.03291 | + | 1.36393i | 0.317935 | + | 0.142979i | ||||
\(92\) | 4.00271 | − | 0.705785i | 0.417311 | − | 0.0735832i | ||||
\(93\) | −7.93625 | − | 6.16799i | −0.822951 | − | 0.639591i | ||||
\(94\) | −10.3934 | − | 1.83263i | −1.07199 | − | 0.189022i | ||||
\(95\) | 2.71179 | + | 0.478163i | 0.278224 | + | 0.0490584i | ||||
\(96\) | −1.91038 | + | 13.8490i | −0.194978 | + | 1.41345i | ||||
\(97\) | 7.91567 | − | 1.39575i | 0.803714 | − | 0.141717i | 0.243324 | − | 0.969945i | \(-0.421762\pi\) |
0.560390 | + | 0.828229i | \(0.310651\pi\) | |||||||
\(98\) | 2.93765 | + | 14.3466i | 0.296747 | + | 1.44922i | ||||
\(99\) | 13.1097 | + | 13.4378i | 1.31757 | + | 1.35055i | ||||
\(100\) | −5.78730 | + | 10.0239i | −0.578730 | + | 1.00239i | ||||
\(101\) | −2.47268 | − | 14.0233i | −0.246041 | − | 1.39537i | −0.818062 | − | 0.575130i | \(-0.804952\pi\) |
0.572021 | − | 0.820239i | \(-0.306160\pi\) | |||||||
\(102\) | −3.23247 | − | 1.04120i | −0.320063 | − | 0.103094i | ||||
\(103\) | −2.18829 | − | 6.01227i | −0.215618 | − | 0.592406i | 0.783979 | − | 0.620787i | \(-0.213187\pi\) |
−0.999597 | + | 0.0283812i | \(0.990965\pi\) | |||||||
\(104\) | −0.758617 | − | 0.636556i | −0.0743886 | − | 0.0624194i | ||||
\(105\) | 0.227823 | + | 1.63513i | 0.0222333 | + | 0.159572i | ||||
\(106\) | −6.83352 | − | 2.48720i | −0.663730 | − | 0.241578i | ||||
\(107\) | 2.81413 | − | 1.62474i | 0.272053 | − | 0.157070i | −0.357767 | − | 0.933811i | \(-0.616462\pi\) |
0.629820 | + | 0.776741i | \(0.283129\pi\) | |||||||
\(108\) | 5.49821 | + | 11.0577i | 0.529066 | + | 1.06403i | ||||
\(109\) | 6.30335 | − | 10.9177i | 0.603751 | − | 1.04573i | −0.388496 | − | 0.921450i | \(-0.627005\pi\) |
0.992247 | − | 0.124278i | \(-0.0396613\pi\) | |||||||
\(110\) | −0.818985 | − | 4.64469i | −0.0780871 | − | 0.442854i | ||||
\(111\) | 4.89103 | − | 3.07361i | 0.464236 | − | 0.291734i | ||||
\(112\) | −0.603640 | + | 8.19269i | −0.0570386 | + | 0.774137i | ||||
\(113\) | −14.5530 | − | 2.56609i | −1.36903 | − | 0.241397i | −0.559674 | − | 0.828713i | \(-0.689074\pi\) |
−0.809358 | + | 0.587315i | \(0.800185\pi\) | |||||||
\(114\) | 27.0761 | − | 5.82733i | 2.53591 | − | 0.545779i | ||||
\(115\) | 0.606753 | − | 0.106987i | 0.0565800 | − | 0.00997659i | ||||
\(116\) | 5.08348i | 0.471989i | ||||||||
\(117\) | 3.75205 | + | 0.375040i | 0.346877 | + | 0.0346725i | ||||
\(118\) | −11.5790 | − | 6.68515i | −1.06594 | − | 0.615418i | ||||
\(119\) | −2.40374 | − | 0.608861i | −0.220350 | − | 0.0558142i | ||||
\(120\) | 0.0671816 | − | 0.487020i | 0.00613281 | − | 0.0444587i | ||||
\(121\) | −21.5716 | − | 18.1007i | −1.96105 | − | 1.64552i | ||||
\(122\) | 3.80005 | − | 21.5512i | 0.344041 | − | 1.95115i | ||||
\(123\) | −9.80281 | + | 12.6131i | −0.883889 | + | 1.13729i | ||||
\(124\) | 8.86515 | + | 10.5651i | 0.796114 | + | 0.948772i | ||||
\(125\) | −1.77792 | + | 3.07945i | −0.159022 | + | 0.275435i | ||||
\(126\) | 8.32206 | + | 14.3691i | 0.741388 | + | 1.28010i | ||||
\(127\) | 7.01123 | + | 12.1438i | 0.622146 | + | 1.07759i | 0.989085 | + | 0.147344i | \(0.0470724\pi\) |
−0.366939 | + | 0.930245i | \(0.619594\pi\) | |||||||
\(128\) | 2.11756 | − | 5.81795i | 0.187168 | − | 0.514239i | ||||
\(129\) | 4.60933 | + | 5.09302i | 0.405828 | + | 0.448416i | ||||
\(130\) | −0.725681 | − | 0.608918i | −0.0636464 | − | 0.0534057i | ||||
\(131\) | 0.455349 | − | 2.58241i | 0.0397841 | − | 0.225627i | −0.958433 | − | 0.285318i | \(-0.907901\pi\) |
0.998217 | + | 0.0596917i | \(0.0190118\pi\) | |||||||
\(132\) | −13.7061 | − | 21.8105i | −1.19296 | − | 1.89836i | ||||
\(133\) | 19.4599 | − | 5.50148i | 1.68739 | − | 0.477039i | ||||
\(134\) | − | 0.608125i | − | 0.0525340i | ||||||
\(135\) | 0.833451 | + | 1.67619i | 0.0717320 | + | 0.144264i | ||||
\(136\) | 0.639491 | + | 0.369210i | 0.0548359 | + | 0.0316595i | ||||
\(137\) | −6.26152 | − | 7.46219i | −0.534958 | − | 0.637538i | 0.429092 | − | 0.903261i | \(-0.358834\pi\) |
−0.964049 | + | 0.265723i | \(0.914389\pi\) | |||||||
\(138\) | 5.24688 | − | 3.29723i | 0.446644 | − | 0.280679i | ||||
\(139\) | −0.0836111 | + | 0.0996438i | −0.00709180 | + | 0.00845168i | −0.769579 | − | 0.638552i | \(-0.779534\pi\) |
0.762487 | + | 0.647004i | \(0.223978\pi\) | |||||||
\(140\) | 0.166456 | − | 2.25917i | 0.0140681 | − | 0.190934i | ||||
\(141\) | −8.54210 | + | 1.83843i | −0.719374 | + | 0.154824i | ||||
\(142\) | 9.49573 | + | 3.45616i | 0.796864 | + | 0.290035i | ||||
\(143\) | −7.86549 | −0.657745 | ||||||||
\(144\) | 2.29947 | + | 9.02653i | 0.191623 | + | 0.752211i | ||||
\(145\) | 0.770583i | 0.0639934i | ||||||||
\(146\) | 1.34081 | + | 7.60411i | 0.110966 | + | 0.629321i | ||||
\(147\) | 6.73031 | + | 10.0848i | 0.555106 | + | 0.831779i | ||||
\(148\) | −7.44829 | + | 2.71096i | −0.612246 | + | 0.222839i | ||||
\(149\) | −9.24727 | + | 11.0205i | −0.757566 | + | 0.902832i | −0.997691 | − | 0.0679097i | \(-0.978367\pi\) |
0.240125 | + | 0.970742i | \(0.422811\pi\) | |||||||
\(150\) | −2.41150 | + | 17.4817i | −0.196898 | + | 1.42738i | ||||
\(151\) | −19.0335 | − | 6.92763i | −1.54892 | − | 0.563762i | −0.580759 | − | 0.814075i | \(-0.697244\pi\) |
−0.968165 | + | 0.250313i | \(0.919466\pi\) | |||||||
\(152\) | −6.02215 | −0.488461 | ||||||||
\(153\) | −2.80377 | + | 0.210418i | −0.226672 | + | 0.0170113i | ||||
\(154\) | −20.2542 | − | 28.0976i | −1.63213 | − | 2.26417i | ||||
\(155\) | 1.34383 | + | 1.60152i | 0.107939 | + | 0.128637i | ||||
\(156\) | −4.92480 | − | 1.58631i | −0.394300 | − | 0.127006i | ||||
\(157\) | 2.54977 | − | 3.03870i | 0.203494 | − | 0.242515i | −0.654640 | − | 0.755941i | \(-0.727180\pi\) |
0.858134 | + | 0.513426i | \(0.171624\pi\) | |||||||
\(158\) | −7.38664 | − | 20.2946i | −0.587649 | − | 1.61455i | ||||
\(159\) | −6.01652 | + | 0.225447i | −0.477141 | + | 0.0178791i | ||||
\(160\) | 0.994530 | − | 2.73245i | 0.0786245 | − | 0.216019i | ||||
\(161\) | 3.67049 | − | 2.64588i | 0.289275 | − | 0.208525i | ||||
\(162\) | 14.1198 | + | 12.4554i | 1.10936 | + | 0.978587i | ||||
\(163\) | −8.65872 | − | 14.9973i | −0.678203 | − | 1.17468i | −0.975522 | − | 0.219904i | \(-0.929426\pi\) |
0.297318 | − | 0.954778i | \(-0.403908\pi\) | |||||||
\(164\) | 16.7911 | − | 14.0894i | 1.31117 | − | 1.10020i | ||||
\(165\) | −2.07765 | − | 3.30616i | −0.161745 | − | 0.257385i | ||||
\(166\) | 13.3065 | + | 2.34630i | 1.03279 | + | 0.182108i | ||||
\(167\) | −2.13178 | + | 12.0899i | −0.164962 | + | 0.935548i | 0.784141 | + | 0.620583i | \(0.213104\pi\) |
−0.949103 | + | 0.314965i | \(0.898007\pi\) | |||||||
\(168\) | −1.11164 | − | 3.43515i | −0.0857651 | − | 0.265028i | ||||
\(169\) | 8.74835 | − | 7.34074i | 0.672950 | − | 0.564672i | ||||
\(170\) | 0.611727 | + | 0.353181i | 0.0469173 | + | 0.0270877i | ||||
\(171\) | 18.9445 | − | 12.9191i | 1.44872 | − | 0.987952i | ||||
\(172\) | −4.71269 | − | 8.16261i | −0.359339 | − | 0.622393i | ||||
\(173\) | 16.1769 | − | 13.5741i | 1.22991 | − | 1.03202i | 0.231664 | − | 0.972796i | \(-0.425583\pi\) |
0.998245 | − | 0.0592207i | \(-0.0188616\pi\) | |||||||
\(174\) | 2.92170 | + | 7.17876i | 0.221494 | + | 0.544221i | ||||
\(175\) | −0.946831 | + | 12.8505i | −0.0715737 | + | 0.971409i | ||||
\(176\) | −6.64546 | − | 18.2582i | −0.500920 | − | 1.37627i | ||||
\(177\) | −10.9658 | − | 1.51267i | −0.824239 | − | 0.113699i | ||||
\(178\) | −3.66625 | + | 10.0729i | −0.274797 | + | 0.754998i | ||||
\(179\) | 8.13538 | − | 4.69697i | 0.608067 | − | 0.351068i | −0.164141 | − | 0.986437i | \(-0.552485\pi\) |
0.772209 | + | 0.635369i | \(0.219152\pi\) | |||||||
\(180\) | −0.634089 | − | 2.48910i | −0.0472622 | − | 0.185527i | ||||
\(181\) | 8.05463 | − | 4.65035i | 0.598696 | − | 0.345657i | −0.169832 | − | 0.985473i | \(-0.554323\pi\) |
0.768529 | + | 0.639816i | \(0.220989\pi\) | |||||||
\(182\) | −6.74405 | − | 1.70825i | −0.499902 | − | 0.126624i | ||||
\(183\) | −3.81208 | − | 17.7125i | −0.281797 | − | 1.30934i | ||||
\(184\) | −1.26617 | + | 0.460849i | −0.0933434 | + | 0.0339742i | ||||
\(185\) | −1.12906 | + | 0.410943i | −0.0830098 | + | 0.0302131i | ||||
\(186\) | 18.5914 | + | 9.82455i | 1.36319 | + | 0.720371i | ||||
\(187\) | 5.77580 | − | 1.01843i | 0.422369 | − | 0.0744750i | ||||
\(188\) | 11.9893 | 0.874411 | ||||||||
\(189\) | 10.8663 | + | 8.42155i | 0.790411 | + | 0.612578i | ||||
\(190\) | −5.76069 | −0.417924 | ||||||||
\(191\) | 8.98811 | − | 1.58485i | 0.650357 | − | 0.114675i | 0.161270 | − | 0.986910i | \(-0.448441\pi\) |
0.489087 | + | 0.872235i | \(0.337330\pi\) | |||||||
\(192\) | −0.692399 | − | 18.4781i | −0.0499696 | − | 1.33354i | ||||
\(193\) | 3.29363 | − | 1.19878i | 0.237081 | − | 0.0862902i | −0.220748 | − | 0.975331i | \(-0.570850\pi\) |
0.457828 | + | 0.889041i | \(0.348627\pi\) | |||||||
\(194\) | −15.8012 | + | 5.75118i | −1.13446 | + | 0.412911i | ||||
\(195\) | −0.746530 | − | 0.240462i | −0.0534602 | − | 0.0172198i | ||||
\(196\) | −6.11669 | − | 15.4710i | −0.436906 | − | 1.10507i | ||||
\(197\) | −17.0883 | + | 9.86593i | −1.21749 | + | 0.702918i | −0.964380 | − | 0.264519i | \(-0.914787\pi\) |
−0.253110 | + | 0.967438i | \(0.581453\pi\) | |||||||
\(198\) | −31.8909 | − | 22.9228i | −2.26639 | − | 1.62905i | ||||
\(199\) | 9.64829 | − | 5.57044i | 0.683949 | − | 0.394878i | −0.117392 | − | 0.993086i | \(-0.537453\pi\) |
0.801341 | + | 0.598207i | \(0.204120\pi\) | |||||||
\(200\) | 1.31239 | − | 3.60576i | 0.0927999 | − | 0.254966i | ||||
\(201\) | −0.189796 | − | 0.466339i | −0.0133872 | − | 0.0328930i | ||||
\(202\) | 10.1887 | + | 27.9932i | 0.716875 | + | 1.96960i | ||||
\(203\) | 2.46180 | + | 5.09564i | 0.172785 | + | 0.357644i | ||||
\(204\) | 3.82179 | + | 0.527194i | 0.267579 | + | 0.0369109i | ||||
\(205\) | 2.54530 | − | 2.13576i | 0.177771 | − | 0.149168i | ||||
\(206\) | 6.69255 | + | 11.5918i | 0.466292 | + | 0.807641i | ||||
\(207\) | 2.99449 | − | 4.16602i | 0.208131 | − | 0.289559i | ||||
\(208\) | −3.37979 | − | 1.95132i | −0.234346 | − | 0.135300i | ||||
\(209\) | −36.6406 | + | 30.7451i | −2.53448 | + | 2.12668i | ||||
\(210\) | −1.06338 | − | 3.28601i | −0.0733801 | − | 0.226756i | ||||
\(211\) | −1.40219 | + | 7.95221i | −0.0965307 | + | 0.547453i | 0.897737 | + | 0.440532i | \(0.145210\pi\) |
−0.994268 | + | 0.106921i | \(0.965901\pi\) | |||||||
\(212\) | 8.13578 | + | 1.43456i | 0.558767 | + | 0.0985258i | ||||
\(213\) | 8.36045 | − | 0.313278i | 0.572849 | − | 0.0214654i | ||||
\(214\) | −5.20759 | + | 4.36969i | −0.355984 | + | 0.298706i | ||||
\(215\) | −0.714376 | − | 1.23734i | −0.0487201 | − | 0.0843856i | ||||
\(216\) | −2.43162 | − | 3.29361i | −0.165450 | − | 0.224102i | ||||
\(217\) | 14.0028 | + | 6.29720i | 0.950570 | + | 0.427481i | ||||
\(218\) | −9.02032 | + | 24.7831i | −0.610933 | + | 1.67853i | ||||
\(219\) | 3.40145 | + | 5.41273i | 0.229849 | + | 0.365758i | ||||
\(220\) | 1.83251 | + | 5.03478i | 0.123548 | + | 0.339445i | ||||
\(221\) | 0.757207 | − | 0.902404i | 0.0509352 | − | 0.0607023i | ||||
\(222\) | −8.96019 | + | 8.10921i | −0.601369 | + | 0.544255i | ||||
\(223\) | −4.16647 | − | 4.96540i | −0.279007 | − | 0.332508i | 0.608282 | − | 0.793721i | \(-0.291859\pi\) |
−0.887290 | + | 0.461213i | \(0.847414\pi\) | |||||||
\(224\) | −2.15288 | − | 21.2462i | −0.143845 | − | 1.41957i | ||||
\(225\) | 3.60681 | + | 14.1584i | 0.240454 | + | 0.943896i | ||||
\(226\) | 30.9151 | 2.05644 | ||||||||
\(227\) | 6.51828 | + | 2.37246i | 0.432634 | + | 0.157466i | 0.549152 | − | 0.835723i | \(-0.314951\pi\) |
−0.116518 | + | 0.993189i | \(0.537173\pi\) | |||||||
\(228\) | −29.1424 | + | 11.8607i | −1.93000 | + | 0.785495i | ||||
\(229\) | −11.8635 | + | 14.1384i | −0.783964 | + | 0.934292i | −0.999105 | − | 0.0422913i | \(-0.986534\pi\) |
0.215142 | + | 0.976583i | \(0.430979\pi\) | |||||||
\(230\) | −1.21120 | + | 0.440840i | −0.0798641 | + | 0.0290682i | ||||
\(231\) | −24.3012 | − | 15.2252i | −1.59890 | − | 1.00174i | ||||
\(232\) | −0.292641 | − | 1.65965i | −0.0192129 | − | 0.108962i | ||||
\(233\) | 24.0601i | 1.57623i | 0.615529 | + | 0.788115i | \(0.288943\pi\) | ||||
−0.615529 | + | 0.788115i | \(0.711057\pi\) | |||||||
\(234\) | −7.86641 | + | 0.590360i | −0.514243 | + | 0.0385930i | ||||
\(235\) | 1.81741 | 0.118555 | ||||||||
\(236\) | 14.2730 | + | 5.19496i | 0.929096 | + | 0.338163i | ||||
\(237\) | −11.9984 | − | 13.2575i | −0.779379 | − | 0.861167i | ||||
\(238\) | 5.17349 | + | 0.381184i | 0.335347 | + | 0.0247085i | ||||
\(239\) | −3.56306 | + | 4.24628i | −0.230475 | + | 0.274669i | −0.868871 | − | 0.495039i | \(-0.835154\pi\) |
0.638396 | + | 0.769708i | \(0.279598\pi\) | |||||||
\(240\) | −0.0725480 | − | 1.93609i | −0.00468296 | − | 0.124974i | ||||
\(241\) | −6.55253 | − | 7.80900i | −0.422086 | − | 0.503022i | 0.512536 | − | 0.858666i | \(-0.328706\pi\) |
−0.934622 | + | 0.355644i | \(0.884262\pi\) | |||||||
\(242\) | 51.0185 | + | 29.4556i | 3.27960 | + | 1.89348i | ||||
\(243\) | 14.7151 | + | 5.14457i | 0.943972 | + | 0.330024i | ||||
\(244\) | 24.8604i | 1.59153i | ||||||||
\(245\) | −0.927203 | − | 2.34518i | −0.0592368 | − | 0.149828i | ||||
\(246\) | 15.6142 | − | 29.5473i | 0.995524 | − | 1.88387i | ||||
\(247\) | −1.66826 | + | 9.46120i | −0.106149 | + | 0.602001i | ||||
\(248\) | −3.50249 | − | 2.93894i | −0.222409 | − | 0.186623i | ||||
\(249\) | 10.9363 | − | 2.35372i | 0.693062 | − | 0.149161i | ||||
\(250\) | 2.54427 | − | 6.99034i | 0.160914 | − | 0.442108i | ||||
\(251\) | −10.3890 | − | 17.9942i | −0.655746 | − | 1.13579i | −0.981706 | − | 0.190402i | \(-0.939021\pi\) |
0.325960 | − | 0.945384i | \(-0.394312\pi\) | |||||||
\(252\) | −12.1450 | − | 14.4340i | −0.765066 | − | 0.909255i | ||||
\(253\) | −5.35099 | + | 9.26818i | −0.336414 | + | 0.582685i | ||||
\(254\) | −18.8565 | − | 22.4723i | −1.18316 | − | 1.41004i | ||||
\(255\) | 0.579329 | + | 0.0799150i | 0.0362790 | + | 0.00500447i | ||||
\(256\) | 1.45849 | − | 8.27153i | 0.0911558 | − | 0.516970i | ||||
\(257\) | 19.4196 | + | 16.2950i | 1.21136 | + | 1.01645i | 0.999231 | + | 0.0392104i | \(0.0124843\pi\) |
0.212129 | + | 0.977242i | \(0.431960\pi\) | |||||||
\(258\) | −11.3466 | − | 8.81845i | −0.706406 | − | 0.549013i | ||||
\(259\) | −6.15327 | + | 6.32447i | −0.382346 | + | 0.392983i | ||||
\(260\) | 0.931991 | + | 0.538085i | 0.0577996 | + | 0.0333706i | ||||
\(261\) | 4.48100 | + | 4.59315i | 0.277367 | + | 0.284309i | ||||
\(262\) | 5.48585i | 0.338917i | ||||||||
\(263\) | 3.91251 | − | 0.689881i | 0.241256 | − | 0.0425399i | −0.0517128 | − | 0.998662i | \(-0.516468\pi\) |
0.292968 | + | 0.956122i | \(0.405357\pi\) | |||||||
\(264\) | 5.73033 | + | 6.33167i | 0.352678 | + | 0.389687i | ||||
\(265\) | 1.23327 | + | 0.217458i | 0.0757591 | + | 0.0133584i | ||||
\(266\) | −38.0938 | + | 18.4038i | −2.33568 | + | 1.12841i | ||||
\(267\) | 0.332320 | + | 8.86864i | 0.0203377 | + | 0.542752i | ||||
\(268\) | 0.119964 | + | 0.680352i | 0.00732799 | + | 0.0415591i | ||||
\(269\) | 2.35052 | − | 4.07121i | 0.143313 | − | 0.248226i | −0.785429 | − | 0.618952i | \(-0.787558\pi\) |
0.928742 | + | 0.370726i | \(0.120891\pi\) | |||||||
\(270\) | −2.32604 | − | 3.15061i | −0.141558 | − | 0.191740i | ||||
\(271\) | −7.44995 | + | 4.30123i | −0.452552 | + | 0.261281i | −0.708907 | − | 0.705302i | \(-0.750812\pi\) |
0.256355 | + | 0.966583i | \(0.417478\pi\) | |||||||
\(272\) | 2.73451 | + | 0.995282i | 0.165804 | + | 0.0603478i | ||||
\(273\) | −5.70480 | + | 0.794854i | −0.345270 | + | 0.0481067i | ||||
\(274\) | 15.6112 | + | 13.0993i | 0.943105 | + | 0.791359i | ||||
\(275\) | −10.4236 | − | 28.6387i | −0.628569 | − | 1.72698i | ||||
\(276\) | −5.21960 | + | 4.72388i | −0.314183 | + | 0.284344i | ||||
\(277\) | 2.75863 | + | 15.6450i | 0.165750 | + | 0.940015i | 0.948288 | + | 0.317412i | \(0.102814\pi\) |
−0.782538 | + | 0.622603i | \(0.786075\pi\) | |||||||
\(278\) | 0.136062 | − | 0.235665i | 0.00816043 | − | 0.0141343i | ||||
\(279\) | 17.3230 | + | 1.73154i | 1.03710 | + | 0.103665i | ||||
\(280\) | 0.0757094 | + | 0.747154i | 0.00452450 | + | 0.0446510i | ||||
\(281\) | 21.2686 | − | 3.75023i | 1.26878 | − | 0.223720i | 0.501569 | − | 0.865118i | \(-0.332756\pi\) |
0.767208 | + | 0.641398i | \(0.221645\pi\) | |||||||
\(282\) | 16.9310 | − | 6.89080i | 1.00823 | − | 0.410341i | ||||
\(283\) | −4.47736 | − | 0.789480i | −0.266152 | − | 0.0469297i | 0.0389797 | − | 0.999240i | \(-0.487589\pi\) |
−0.305131 | + | 0.952310i | \(0.598700\pi\) | |||||||
\(284\) | −11.3053 | − | 1.99344i | −0.670848 | − | 0.118289i | ||||
\(285\) | −4.41757 | + | 1.79792i | −0.261674 | + | 0.106499i | ||||
\(286\) | 16.2049 | − | 2.85736i | 0.958216 | − | 0.168959i | ||||
\(287\) | 10.0082 | − | 22.2547i | 0.590763 | − | 1.31365i | ||||
\(288\) | −9.96139 | − | 22.0703i | −0.586980 | − | 1.30051i | ||||
\(289\) | 8.06081 | − | 13.9617i | 0.474165 | − | 0.821278i | ||||
\(290\) | −0.279936 | − | 1.58760i | −0.0164384 | − | 0.0932268i | ||||
\(291\) | −10.3222 | + | 9.34186i | −0.605097 | + | 0.547629i | ||||
\(292\) | −3.00012 | − | 8.24275i | −0.175568 | − | 0.482370i | ||||
\(293\) | 6.06074 | + | 5.08556i | 0.354072 | + | 0.297102i | 0.802423 | − | 0.596756i | \(-0.203544\pi\) |
−0.448351 | + | 0.893858i | \(0.647988\pi\) | |||||||
\(294\) | −17.5297 | − | 18.3322i | −1.02235 | − | 1.06916i | ||||
\(295\) | 2.16359 | + | 0.787482i | 0.125969 | + | 0.0458490i | ||||
\(296\) | 2.27565 | − | 1.31385i | 0.132270 | − | 0.0763660i | ||||
\(297\) | −31.6097 | − | 7.62508i | −1.83418 | − | 0.442452i | ||||
\(298\) | 15.0482 | − | 26.0643i | 0.871720 | − | 1.50986i | ||||
\(299\) | 0.373267 | + | 2.11690i | 0.0215866 | + | 0.122424i | ||||
\(300\) | −0.750692 | − | 20.0337i | −0.0433412 | − | 1.15665i | ||||
\(301\) | −8.67691 | − | 5.89991i | −0.500129 | − | 0.340065i | ||||
\(302\) | 41.7305 | + | 7.35821i | 2.40132 | + | 0.423417i | ||||
\(303\) | 16.5499 | + | 18.2866i | 0.950767 | + | 1.05054i | ||||
\(304\) | −23.3719 | + | 4.12109i | −1.34047 | + | 0.236361i | ||||
\(305\) | 3.76849i | 0.215783i | ||||||||
\(306\) | 5.70004 | − | 1.45206i | 0.325850 | − | 0.0830089i | ||||
\(307\) | −16.6860 | − | 9.63367i | −0.952321 | − | 0.549823i | −0.0585197 | − | 0.998286i | \(-0.518638\pi\) |
−0.893801 | + | 0.448464i | \(0.851971\pi\) | |||||||
\(308\) | 28.2026 | + | 27.4392i | 1.60699 | + | 1.56349i | ||||
\(309\) | 8.74998 | + | 6.80041i | 0.497769 | + | 0.386862i | ||||
\(310\) | −3.35043 | − | 2.81134i | −0.190292 | − | 0.159674i | ||||
\(311\) | −2.30794 | + | 13.0890i | −0.130871 | + | 0.742208i | 0.846775 | + | 0.531951i | \(0.178541\pi\) |
−0.977646 | + | 0.210257i | \(0.932570\pi\) | |||||||
\(312\) | 1.69917 | + | 0.234390i | 0.0961964 | + | 0.0132697i | ||||
\(313\) | −9.61460 | − | 11.4582i | −0.543449 | − | 0.647658i | 0.422508 | − | 0.906359i | \(-0.361150\pi\) |
−0.965957 | + | 0.258701i | \(0.916705\pi\) | |||||||
\(314\) | −4.14928 | + | 7.18676i | −0.234157 | + | 0.405573i | ||||
\(315\) | −1.84102 | − | 2.18799i | −0.103730 | − | 0.123279i | ||||
\(316\) | 12.2675 | + | 21.2479i | 0.690098 | + | 1.19528i | ||||
\(317\) | 5.67633 | − | 15.5956i | 0.318815 | − | 0.875936i | −0.671981 | − | 0.740569i | \(-0.734556\pi\) |
0.990795 | − | 0.135367i | \(-0.0432215\pi\) | |||||||
\(318\) | 12.3136 | − | 2.65015i | 0.690515 | − | 0.148613i | ||||
\(319\) | −10.2536 | − | 8.60379i | −0.574092 | − | 0.481720i | ||||
\(320\) | −0.667863 | + | 3.78764i | −0.0373347 | + | 0.211736i | ||||
\(321\) | −2.62964 | + | 4.97618i | −0.146772 | + | 0.277743i | ||||
\(322\) | −6.60095 | + | 6.78460i | −0.367856 | + | 0.378091i | ||||
\(323\) | − | 7.16357i | − | 0.398592i | ||||||
\(324\) | −18.2539 | − | 11.1493i | −1.01410 | − | 0.619406i | ||||
\(325\) | −5.30133 | − | 3.06072i | −0.294065 | − | 0.169778i | ||||
\(326\) | 23.2874 | + | 27.7528i | 1.28977 | + | 1.53708i | ||||
\(327\) | 0.817630 | + | 21.8201i | 0.0452151 | + | 1.20666i | ||||
\(328\) | −4.67087 | + | 5.56653i | −0.257906 | + | 0.307360i | ||||
\(329\) | 12.0180 | − | 5.80612i | 0.662574 | − | 0.320102i | ||||
\(330\) | 5.48154 | + | 6.05677i | 0.301749 | + | 0.333414i | ||||
\(331\) | 21.5799 | + | 7.85444i | 1.18614 | + | 0.431719i | 0.858366 | − | 0.513037i | \(-0.171480\pi\) |
0.327773 | + | 0.944757i | \(0.393702\pi\) | |||||||
\(332\) | −15.3498 | −0.842428 | ||||||||
\(333\) | −4.34020 | + | 9.01501i | −0.237842 | + | 0.494020i | ||||
\(334\) | − | 25.6828i | − | 1.40530i | ||||||
\(335\) | 0.0181849 | + | 0.103132i | 0.000993547 | + | 0.00563469i | ||||
\(336\) | −6.66502 | − | 12.5710i | −0.363607 | − | 0.685807i | ||||
\(337\) | 25.8190 | − | 9.39733i | 1.40645 | − | 0.511905i | 0.476363 | − | 0.879249i | \(-0.341955\pi\) |
0.930085 | + | 0.367344i | \(0.119733\pi\) | |||||||
\(338\) | −15.3571 | + | 18.3019i | −0.835315 | + | 0.995490i | ||||
\(339\) | 23.7072 | − | 9.64863i | 1.28760 | − | 0.524042i | ||||
\(340\) | −0.754053 | − | 0.274453i | −0.0408943 | − | 0.0148843i | ||||
\(341\) | −36.3145 | −1.96654 | ||||||||
\(342\) | −34.3372 | + | 33.4988i | −1.85675 | + | 1.81141i | ||||
\(343\) | −13.6235 | − | 12.5459i | −0.735602 | − | 0.677414i | ||||
\(344\) | 2.00849 | + | 2.39363i | 0.108291 | + | 0.129056i | ||||
\(345\) | −0.791218 | + | 0.716074i | −0.0425977 | + | 0.0385521i | ||||
\(346\) | −28.3974 | + | 33.8427i | −1.52665 | + | 1.81940i | ||||
\(347\) | −3.41079 | − | 9.37108i | −0.183101 | − | 0.503066i | 0.813852 | − | 0.581072i | \(-0.197367\pi\) |
−0.996953 | + | 0.0780065i | \(0.975144\pi\) | |||||||
\(348\) | −4.68486 | − | 7.45502i | −0.251135 | − | 0.399631i | ||||
\(349\) | 9.55483 | − | 26.2517i | 0.511458 | − | 1.40522i | −0.368259 | − | 0.929723i | \(-0.620046\pi\) |
0.879717 | − | 0.475497i | \(-0.157732\pi\) | |||||||
\(350\) | −2.71761 | − | 26.8193i | −0.145262 | − | 1.43355i | ||||
\(351\) | −5.84808 | + | 2.90783i | −0.312148 | + | 0.155208i | ||||
\(352\) | 25.2545 | + | 43.7421i | 1.34607 | + | 2.33146i | ||||
\(353\) | −18.1012 | + | 15.1887i | −0.963429 | + | 0.808413i | −0.981507 | − | 0.191424i | \(-0.938689\pi\) |
0.0180788 | + | 0.999837i | \(0.494245\pi\) | |||||||
\(354\) | 23.1418 | − | 0.867156i | 1.22997 | − | 0.0460888i | ||||
\(355\) | −1.71373 | − | 0.302177i | −0.0909552 | − | 0.0160379i | ||||
\(356\) | 2.11461 | − | 11.9925i | 0.112074 | − | 0.635603i | ||||
\(357\) | 4.08624 | − | 1.32234i | 0.216267 | − | 0.0699857i | ||||
\(358\) | −15.0546 | + | 12.6323i | −0.795662 | + | 0.667640i | ||||
\(359\) | 0.0258053 | + | 0.0148987i | 0.00136195 | + | 0.000786324i | 0.500681 | − | 0.865632i | \(-0.333083\pi\) |
−0.499319 | + | 0.866418i | \(0.666416\pi\) | |||||||
\(360\) | 0.350308 | + | 0.776138i | 0.0184628 | + | 0.0409061i | ||||
\(361\) | 19.7111 | + | 34.1405i | 1.03742 | + | 1.79687i | ||||
\(362\) | −14.9052 | + | 12.5070i | −0.783401 | + | 0.657351i | ||||
\(363\) | 48.3165 | + | 6.66499i | 2.53596 | + | 0.349821i | ||||
\(364\) | 7.88202 | + | 0.580749i | 0.413130 | + | 0.0304395i | ||||
\(365\) | −0.454775 | − | 1.24948i | −0.0238040 | − | 0.0654010i | ||||
\(366\) | 14.2884 | + | 35.1073i | 0.746866 | + | 1.83509i | ||||
\(367\) | 5.36231 | − | 14.7328i | 0.279910 | − | 0.769047i | −0.717462 | − | 0.696598i | \(-0.754696\pi\) |
0.997372 | − | 0.0724491i | \(-0.0230815\pi\) | |||||||
\(368\) | −4.59862 | + | 2.65502i | −0.239720 | + | 0.138402i | ||||
\(369\) | 2.75194 | − | 27.5315i | 0.143260 | − | 1.43323i | ||||
\(370\) | 2.17685 | − | 1.25681i | 0.113169 | − | 0.0653383i | ||||
\(371\) | 8.84997 | − | 2.50196i | 0.459467 | − | 0.129895i | ||||
\(372\) | −22.7375 | − | 7.32390i | −1.17889 | − | 0.379726i | ||||
\(373\) | −14.4007 | + | 5.24143i | −0.745640 | + | 0.271391i | −0.686770 | − | 0.726875i | \(-0.740972\pi\) |
−0.0588703 | + | 0.998266i | \(0.518750\pi\) | |||||||
\(374\) | −11.5296 | + | 4.19645i | −0.596183 | + | 0.216993i | ||||
\(375\) | −0.230621 | − | 6.15459i | −0.0119092 | − | 0.317822i | ||||
\(376\) | −3.91427 | + | 0.690191i | −0.201863 | + | 0.0355939i | ||||
\(377\) | −2.68849 | −0.138464 | ||||||||
\(378\) | −25.4468 | − | 13.4030i | −1.30884 | − | 0.689376i | ||||
\(379\) | 17.9559 | 0.922330 | 0.461165 | − | 0.887314i | \(-0.347432\pi\) | ||||
0.461165 | + | 0.887314i | \(0.347432\pi\) | |||||||
\(380\) | 6.44488 | − | 1.13641i | 0.330616 | − | 0.0582964i | ||||
\(381\) | −21.4737 | − | 11.3477i | −1.10013 | − | 0.581359i | ||||
\(382\) | −17.9420 | + | 6.53037i | −0.917995 | + | 0.334123i | ||||
\(383\) | −32.4762 | + | 11.8204i | −1.65945 | + | 0.603992i | −0.990277 | − | 0.139111i | \(-0.955575\pi\) |
−0.669177 | + | 0.743103i | \(0.733353\pi\) | |||||||
\(384\) | 2.25629 | + | 10.4836i | 0.115141 | + | 0.534991i | ||||
\(385\) | 4.27511 | + | 4.15939i | 0.217880 | + | 0.211982i | ||||
\(386\) | −6.35021 | + | 3.66630i | −0.323217 | + | 0.186610i | ||||
\(387\) | −11.4533 | − | 3.22113i | −0.582205 | − | 0.163739i | ||||
\(388\) | 16.5434 | − | 9.55134i | 0.839864 | − | 0.484896i | ||||
\(389\) | 0.118139 | − | 0.324583i | 0.00598986 | − | 0.0164570i | −0.936662 | − | 0.350236i | \(-0.886102\pi\) |
0.942652 | + | 0.333779i | \(0.108324\pi\) | |||||||
\(390\) | 1.62540 | + | 0.224214i | 0.0823051 | + | 0.0113535i | ||||
\(391\) | −0.548197 | − | 1.50616i | −0.0277235 | − | 0.0761697i | ||||
\(392\) | 2.88760 | + | 4.69885i | 0.145846 | + | 0.237328i | ||||
\(393\) | 1.71214 | + | 4.20681i | 0.0863659 | + | 0.212205i | ||||
\(394\) | 31.6221 | − | 26.5341i | 1.59310 | − | 1.33677i | ||||
\(395\) | 1.85957 | + | 3.22087i | 0.0935652 | + | 0.162060i | ||||
\(396\) | 40.2005 | + | 19.3542i | 2.02015 | + | 0.972585i | ||||
\(397\) | 2.27062 | + | 1.31094i | 0.113959 | + | 0.0657943i | 0.555896 | − | 0.831252i | \(-0.312375\pi\) |
−0.441937 | + | 0.897046i | \(0.645709\pi\) | |||||||
\(398\) | −17.8543 | + | 14.9815i | −0.894955 | + | 0.750956i | ||||
\(399\) | −23.4683 | + | 26.0020i | −1.17488 | + | 1.30173i | ||||
\(400\) | 2.62586 | − | 14.8920i | 0.131293 | − | 0.744599i | ||||
\(401\) | 17.0025 | + | 2.99801i | 0.849066 | + | 0.149713i | 0.581218 | − | 0.813748i | \(-0.302576\pi\) |
0.267848 | + | 0.963461i | \(0.413687\pi\) | |||||||
\(402\) | 0.560439 | + | 0.891827i | 0.0279522 | + | 0.0444803i | ||||
\(403\) | −5.58754 | + | 4.68850i | −0.278335 | + | 0.233551i | ||||
\(404\) | −16.9210 | − | 29.3081i | −0.841852 | − | 1.45813i | ||||
\(405\) | −2.76703 | − | 1.69008i | −0.137495 | − | 0.0839805i | ||||
\(406\) | −6.92307 | − | 9.60400i | −0.343586 | − | 0.476638i | ||||
\(407\) | 7.13813 | − | 19.6118i | 0.353824 | − | 0.972123i | ||||
\(408\) | −1.27809 | + | 0.0478916i | −0.0632747 | + | 0.00237099i | ||||
\(409\) | −7.89678 | − | 21.6962i | −0.390471 | − | 1.07281i | −0.966787 | − | 0.255583i | \(-0.917733\pi\) |
0.576317 | − | 0.817227i | \(-0.304490\pi\) | |||||||
\(410\) | −4.46808 | + | 5.32485i | −0.220663 | + | 0.262975i | ||||
\(411\) | 16.0597 | + | 5.17292i | 0.792166 | + | 0.255161i | ||||
\(412\) | −9.77413 | − | 11.6484i | −0.481537 | − | 0.573873i | ||||
\(413\) | 16.8230 | − | 1.70468i | 0.827805 | − | 0.0838817i | ||||
\(414\) | −4.65597 | + | 9.67089i | −0.228828 | + | 0.475298i | ||||
\(415\) | −2.32681 | −0.114218 | ||||||||
\(416\) | 9.53326 | + | 3.46982i | 0.467406 | + | 0.170122i | ||||
\(417\) | 0.0307870 | − | 0.223184i | 0.00150764 | − | 0.0109294i | ||||
\(418\) | 64.3198 | − | 76.6534i | 3.14599 | − | 3.74924i | ||||
\(419\) | −21.7961 | + | 7.93314i | −1.06481 | + | 0.387559i | −0.814234 | − | 0.580537i | \(-0.802843\pi\) |
−0.250577 | + | 0.968097i | \(0.580620\pi\) | |||||||
\(420\) | 1.83791 | + | 3.46652i | 0.0896806 | + | 0.169149i | ||||
\(421\) | −3.28202 | − | 18.6133i | −0.159956 | − | 0.907156i | −0.954114 | − | 0.299444i | \(-0.903199\pi\) |
0.794158 | − | 0.607712i | \(-0.207912\pi\) | |||||||
\(422\) | − | 16.8929i | − | 0.822336i | ||||||
\(423\) | 10.8329 | − | 10.5684i | 0.526713 | − | 0.513852i | ||||
\(424\) | −2.73875 | −0.133005 | ||||||||
\(425\) | 4.28918 | + | 1.56114i | 0.208056 | + | 0.0757262i | ||||
\(426\) | −17.1108 | + | 3.68260i | −0.829023 | + | 0.178423i | ||||
\(427\) | 12.0393 | + | 24.9199i | 0.582621 | + | 1.20596i | ||||
\(428\) | 4.96409 | − | 5.91598i | 0.239949 | − | 0.285959i | ||||
\(429\) | 11.5349 | − | 7.24872i | 0.556910 | − | 0.349972i | ||||
\(430\) | 1.92129 | + | 2.28971i | 0.0926530 | + | 0.110420i | ||||
\(431\) | −35.0297 | − | 20.2244i | −1.68732 | − | 0.974175i | −0.956557 | − | 0.291545i | \(-0.905831\pi\) |
−0.730764 | − | 0.682630i | \(-0.760836\pi\) | |||||||
\(432\) | −11.6909 | − | 11.1184i | −0.562481 | − | 0.534935i | ||||
\(433\) | 5.57490i | 0.267912i | 0.990987 | + | 0.133956i | \(0.0427681\pi\) | ||||
−0.990987 | + | 0.133956i | \(0.957232\pi\) | |||||||
\(434\) | −31.1369 | − | 7.88691i | −1.49462 | − | 0.378584i | ||||
\(435\) | −0.710158 | − | 1.13008i | −0.0340495 | − | 0.0541830i | ||||
\(436\) | 5.20271 | − | 29.5060i | 0.249165 | − | 1.41308i | ||||
\(437\) | 10.0135 | + | 8.40234i | 0.479011 | + | 0.401938i | ||||
\(438\) | −8.97417 | − | 9.91591i | −0.428802 | − | 0.473800i | ||||
\(439\) | −11.6900 | + | 32.1181i | −0.557934 | + | 1.53291i | 0.264694 | + | 0.964332i | \(0.414729\pi\) |
−0.822628 | + | 0.568580i | \(0.807493\pi\) | |||||||
\(440\) | −0.888115 | − | 1.53826i | −0.0423392 | − | 0.0733337i | ||||
\(441\) | −19.1641 | − | 8.58699i | −0.912577 | − | 0.408904i | ||||
\(442\) | −1.23221 | + | 2.13426i | −0.0586104 | + | 0.101516i | ||||
\(443\) | −8.54217 | − | 10.1802i | −0.405851 | − | 0.483674i | 0.523944 | − | 0.851753i | \(-0.324460\pi\) |
−0.929795 | + | 0.368079i | \(0.880016\pi\) | |||||||
\(444\) | 8.42469 | − | 10.8399i | 0.399818 | − | 0.514440i | ||||
\(445\) | 0.320544 | − | 1.81790i | 0.0151953 | − | 0.0861766i | ||||
\(446\) | 10.3878 | + | 8.71640i | 0.491876 | + | 0.412733i | ||||
\(447\) | 3.40500 | − | 24.6839i | 0.161051 | − | 1.16751i | ||||
\(448\) | 7.68408 | + | 27.1802i | 0.363039 | + | 1.28414i | ||||
\(449\) | −10.5259 | − | 6.07712i | −0.496747 | − | 0.286797i | 0.230622 | − | 0.973043i | \(-0.425924\pi\) |
−0.727369 | + | 0.686247i | \(0.759257\pi\) | |||||||
\(450\) | −12.5744 | − | 27.8597i | −0.592763 | − | 1.31332i | ||||
\(451\) | 57.7148i | 2.71768i | ||||||||
\(452\) | −34.5869 | + | 6.09860i | −1.62683 | + | 0.286854i | ||||
\(453\) | 34.2974 | − | 7.38150i | 1.61143 | − | 0.346813i | ||||
\(454\) | −14.2912 | − | 2.51992i | −0.670718 | − | 0.118266i | ||||
\(455\) | 1.19480 | + | 0.0880333i | 0.0560132 | + | 0.00412707i | ||||
\(456\) | 8.83160 | − | 5.54993i | 0.413578 | − | 0.259899i | ||||
\(457\) | −2.48520 | − | 14.0943i | −0.116253 | − | 0.659303i | −0.986122 | − | 0.166021i | \(-0.946908\pi\) |
0.869869 | − | 0.493282i | \(-0.164203\pi\) | |||||||
\(458\) | 19.3057 | − | 33.4384i | 0.902095 | − | 1.56248i | ||||
\(459\) | 3.91787 | − | 2.89250i | 0.182870 | − | 0.135010i | ||||
\(460\) | 1.26809 | − | 0.732131i | 0.0591249 | − | 0.0341358i | ||||
\(461\) | 23.2811 | + | 8.47362i | 1.08431 | + | 0.394656i | 0.821509 | − | 0.570195i | \(-0.193132\pi\) |
0.262798 | + | 0.964851i | \(0.415355\pi\) | |||||||
\(462\) | 55.5976 | + | 22.5397i | 2.58663 | + | 1.04864i | ||||
\(463\) | −13.5051 | − | 11.3321i | −0.627634 | − | 0.526647i | 0.272559 | − | 0.962139i | \(-0.412130\pi\) |
−0.900193 | + | 0.435492i | \(0.856574\pi\) | |||||||
\(464\) | −2.27147 | − | 6.24082i | −0.105450 | − | 0.289723i | ||||
\(465\) | −3.44669 | − | 1.11020i | −0.159836 | − | 0.0514842i | ||||
\(466\) | −8.74050 | − | 49.5699i | −0.404896 | − | 2.29628i | ||||
\(467\) | 1.78544 | − | 3.09247i | 0.0826202 | − | 0.143102i | −0.821754 | − | 0.569842i | \(-0.807004\pi\) |
0.904375 | + | 0.426739i | \(0.140338\pi\) | |||||||
\(468\) | 8.68424 | − | 2.21228i | 0.401429 | − | 0.102263i | ||||
\(469\) | 0.449729 | + | 0.623884i | 0.0207665 | + | 0.0288083i | ||||
\(470\) | −3.74432 | + | 0.660225i | −0.172713 | + | 0.0304539i | ||||
\(471\) | −0.938868 | + | 6.80614i | −0.0432607 | + | 0.313611i | ||||
\(472\) | −4.95892 | − | 0.874391i | −0.228253 | − | 0.0402471i | ||||
\(473\) | 24.4406 | + | 4.30953i | 1.12378 | + | 0.198153i | ||||
\(474\) | 29.5359 | + | 22.9550i | 1.35663 | + | 1.05436i | ||||
\(475\) | −36.6596 | + | 6.46408i | −1.68206 | + | 0.296592i | ||||
\(476\) | −5.86314 | + | 0.594113i | −0.268736 | + | 0.0272311i | ||||
\(477\) | 8.61557 | − | 5.87536i | 0.394480 | − | 0.269014i | ||||
\(478\) | 5.79821 | − | 10.0428i | 0.265204 | − | 0.459347i | ||||
\(479\) | 1.11594 | + | 6.32882i | 0.0509887 | + | 0.289171i | 0.999631 | − | 0.0271809i | \(-0.00865300\pi\) |
−0.948642 | + | 0.316352i | \(0.897542\pi\) | |||||||
\(480\) | 1.05969 | + | 4.92374i | 0.0483679 | + | 0.224737i | ||||
\(481\) | −1.43374 | − | 3.93917i | −0.0653729 | − | 0.179611i | ||||
\(482\) | 16.3367 | + | 13.7081i | 0.744117 | + | 0.624388i | ||||
\(483\) | −2.94444 | + | 7.26291i | −0.133977 | + | 0.330474i | ||||
\(484\) | −62.8887 | − | 22.8896i | −2.85858 | − | 1.04044i | ||||
\(485\) | 2.50775 | − | 1.44785i | 0.113871 | − | 0.0657434i | ||||
\(486\) | −32.1857 | − | 5.25345i | −1.45997 | − | 0.238301i | ||||
\(487\) | 8.85684 | − | 15.3405i | 0.401342 | − | 0.695144i | −0.592546 | − | 0.805536i | \(-0.701877\pi\) |
0.993888 | + | 0.110392i | \(0.0352107\pi\) | |||||||
\(488\) | −1.43114 | − | 8.11642i | −0.0647848 | − | 0.367413i | ||||
\(489\) | 26.5195 | + | 14.0141i | 1.19925 | + | 0.633741i | ||||
\(490\) | 2.76223 | + | 4.49484i | 0.124785 | + | 0.203056i | ||||
\(491\) | 12.0720 | + | 2.12862i | 0.544803 | + | 0.0960634i | 0.439274 | − | 0.898353i | \(-0.355236\pi\) |
0.105528 | + | 0.994416i | \(0.466347\pi\) | |||||||
\(492\) | −11.6399 | + | 36.1369i | −0.524767 | + | 1.62918i | ||||
\(493\) | 1.97422 | − | 0.348108i | 0.0889143 | − | 0.0156780i | ||||
\(494\) | − | 20.0985i | − | 0.904274i | ||||||
\(495\) | 6.09383 | + | 2.93382i | 0.273897 | + | 0.131866i | ||||
\(496\) | −15.6043 | − | 9.00915i | −0.700654 | − | 0.404523i | ||||
\(497\) | −12.2978 | + | 3.47668i | −0.551630 | + | 0.155951i | ||||
\(498\) | −21.6766 | + | 8.82220i | −0.971350 | + | 0.395332i | ||||
\(499\) | 3.82390 | + | 3.20863i | 0.171181 | + | 0.143638i | 0.724353 | − | 0.689429i | \(-0.242138\pi\) |
−0.553172 | + | 0.833067i | \(0.686583\pi\) | |||||||
\(500\) | −1.46748 | + | 8.32248i | −0.0656276 | + | 0.372193i | ||||
\(501\) | −8.01562 | − | 19.6948i | −0.358111 | − | 0.879897i | ||||
\(502\) | 27.9408 | + | 33.2986i | 1.24706 | + | 1.48619i | ||||
\(503\) | 10.5236 | − | 18.2273i | 0.469222 | − | 0.812717i | −0.530158 | − | 0.847899i | \(-0.677868\pi\) |
0.999381 | + | 0.0351814i | \(0.0112009\pi\) | |||||||
\(504\) | 4.79603 | + | 4.01324i | 0.213632 | + | 0.178764i | ||||
\(505\) | −2.56499 | − | 4.44269i | −0.114140 | − | 0.197697i | ||||
\(506\) | 7.65746 | − | 21.0387i | 0.340415 | − | 0.935284i | ||||
\(507\) | −6.06451 | + | 18.8277i | −0.269334 | + | 0.836167i | ||||
\(508\) | 25.5292 | + | 21.4215i | 1.13267 | + | 0.950426i | ||||
\(509\) | 4.75075 | − | 26.9428i | 0.210573 | − | 1.19422i | −0.677852 | − | 0.735198i | \(-0.737089\pi\) |
0.888425 | − | 0.459021i | \(-0.151800\pi\) | |||||||
\(510\) | −1.22260 | + | 0.0458123i | −0.0541374 | + | 0.00202860i | ||||
\(511\) | −6.99905 | − | 6.80960i | −0.309620 | − | 0.301239i | ||||
\(512\) | 29.9539i | 1.32379i | ||||||||
\(513\) | −15.8764 | + | 36.4052i | −0.700960 | + | 1.60733i | ||||
\(514\) | −45.9289 | − | 26.5170i | −2.02583 | − | 1.16962i | ||||
\(515\) | −1.48162 | − | 1.76573i | −0.0652879 | − | 0.0778071i | ||||
\(516\) | 14.4338 | + | 7.62749i | 0.635412 | + | 0.335781i | ||||
\(517\) | −20.2919 | + | 24.1830i | −0.892438 | + | 1.06357i | ||||
\(518\) | 10.3798 | − | 15.2653i | 0.456060 | − | 0.670721i | ||||
\(519\) | −11.2141 | + | 34.8151i | −0.492246 | + | 1.52821i | ||||
\(520\) | −0.335252 | − | 0.122022i | −0.0147018 | − | 0.00535101i | ||||
\(521\) | 37.9904 | 1.66439 | 0.832194 | − | 0.554485i | \(-0.187085\pi\) | ||||
0.832194 | + | 0.554485i | \(0.187085\pi\) | |||||||
\(522\) | −10.9006 | − | 7.83520i | −0.477105 | − | 0.342937i | ||||
\(523\) | 0.849579i | 0.0371495i | 0.999827 | + | 0.0185747i | \(0.00591287\pi\) | ||||
−0.999827 | + | 0.0185747i | \(0.994087\pi\) | |||||||
\(524\) | −1.08219 | − | 6.13740i | −0.0472756 | − | 0.268113i | ||||
\(525\) | −10.4543 | − | 19.7181i | −0.456264 | − | 0.860571i | ||||
\(526\) | −7.81014 | + | 2.84266i | −0.340538 | + | 0.123946i | ||||
\(527\) | 3.49598 | − | 4.16635i | 0.152287 | − | 0.181489i | ||||
\(528\) | 26.5722 | + | 20.6517i | 1.15641 | + | 0.898750i | ||||
\(529\) | −18.8646 | − | 6.86614i | −0.820199 | − | 0.298528i | ||||
\(530\) | −2.61984 | −0.113799 | ||||||||
\(531\) | 17.4756 | − | 7.88756i | 0.758376 | − | 0.342291i | ||||
\(532\) | 38.9877 | − | 28.1044i | 1.69033 | − | 1.21848i | ||||
\(533\) | 7.45145 | + | 8.88030i | 0.322758 | + | 0.384648i | ||||
\(534\) | −3.90645 | − | 18.1509i | −0.169049 | − | 0.785467i | ||||
\(535\) | 0.752486 | − | 0.896778i | 0.0325328 | − | 0.0387711i | ||||
\(536\) | −0.0783319 | − | 0.215215i | −0.00338342 | − | 0.00929587i | ||||
\(537\) | −7.60204 | + | 14.3856i | −0.328052 | + | 0.620786i | ||||
\(538\) | −3.36367 | + | 9.24162i | −0.145018 | + | 0.398434i | ||||
\(539\) | 41.5582 | + | 13.8471i | 1.79004 | + | 0.596435i | ||||
\(540\) | 3.22383 | + | 3.06595i | 0.138731 | + | 0.131937i | ||||
\(541\) | 20.4690 | + | 35.4533i | 0.880031 | + | 1.52426i | 0.851305 | + | 0.524671i | \(0.175812\pi\) |
0.0287257 | + | 0.999587i | \(0.490855\pi\) | |||||||
\(542\) | 13.7862 | − | 11.5680i | 0.592169 | − | 0.496889i | ||||
\(543\) | −7.52659 | + | 14.2429i | −0.322997 | + | 0.611220i | ||||
\(544\) | −7.44976 | − | 1.31359i | −0.319406 | − | 0.0563198i | ||||
\(545\) | 0.788657 | − | 4.47270i | 0.0337824 | − | 0.191589i | ||||
\(546\) | 11.4646 | − | 3.71003i | 0.490639 | − | 0.158775i | ||||
\(547\) | −9.03807 | + | 7.58384i | −0.386440 | + | 0.324262i | −0.815224 | − | 0.579145i | \(-0.803386\pi\) |
0.428784 | + | 0.903407i | \(0.358942\pi\) | |||||||
\(548\) | −20.0494 | − | 11.5755i | −0.856468 | − | 0.494482i | ||||
\(549\) | 21.9140 | + | 22.4625i | 0.935268 | + | 0.958676i | ||||
\(550\) | 31.8792 | + | 55.2163i | 1.35933 | + | 2.35443i | ||||
\(551\) | −12.5241 | + | 10.5089i | −0.533543 | + | 0.447696i | ||||
\(552\) | 1.43215 | − | 1.84273i | 0.0609565 | − | 0.0784318i | ||||
\(553\) | 22.5866 | + | 15.3579i | 0.960480 | + | 0.653084i | ||||
\(554\) | −11.3670 | − | 31.2304i | −0.482935 | − | 1.32685i | ||||
\(555\) | 1.27706 | − | 1.64318i | 0.0542083 | − | 0.0697490i | ||||
\(556\) | −0.105732 | + | 0.290496i | −0.00448403 | + | 0.0123198i | ||||
\(557\) | −27.0274 | + | 15.6043i | −1.14519 | + | 0.661175i | −0.947710 | − | 0.319132i | \(-0.896609\pi\) |
−0.197478 | + | 0.980307i | \(0.563275\pi\) | |||||||
\(558\) | −36.3188 | + | 2.72566i | −1.53750 | + | 0.115386i | ||||
\(559\) | 4.31695 | − | 2.49239i | 0.182587 | − | 0.105417i | ||||
\(560\) | 0.805121 | + | 2.84788i | 0.0340226 | + | 0.120345i | ||||
\(561\) | −7.53176 | + | 6.81644i | −0.317991 | + | 0.287791i | ||||
\(562\) | −42.4563 | + | 15.4528i | −1.79091 | + | 0.651838i | ||||
\(563\) | −15.5954 | + | 5.67626i | −0.657268 | + | 0.239226i | −0.649056 | − | 0.760740i | \(-0.724836\pi\) |
−0.00821159 | + | 0.999966i | \(0.502614\pi\) | |||||||
\(564\) | −17.5826 | + | 11.0492i | −0.740360 | + | 0.465255i | ||||
\(565\) | −5.24288 | + | 0.924461i | −0.220570 | + | 0.0388924i | ||||
\(566\) | 9.51130 | 0.399790 | ||||||||
\(567\) | −23.6969 | − | 2.33609i | −0.995176 | − | 0.0981068i | ||||
\(568\) | 3.80572 | 0.159684 | ||||||||
\(569\) | 12.9515 | − | 2.28370i | 0.542956 | − | 0.0957378i | 0.104558 | − | 0.994519i | \(-0.466657\pi\) |
0.438398 | + | 0.898781i | \(0.355546\pi\) | |||||||
\(570\) | 8.44816 | − | 5.30897i | 0.353855 | − | 0.222368i | ||||
\(571\) | −13.3923 | + | 4.87441i | −0.560452 | + | 0.203988i | −0.606684 | − | 0.794943i | \(-0.707501\pi\) |
0.0462326 | + | 0.998931i | \(0.485278\pi\) | |||||||
\(572\) | −17.5659 | + | 6.39346i | −0.734466 | + | 0.267324i | ||||
\(573\) | −11.7207 | + | 10.6075i | −0.489638 | + | 0.443136i | ||||
\(574\) | −12.5347 | + | 49.4860i | −0.523188 | + | 2.06550i | ||||
\(575\) | −7.21311 | + | 4.16449i | −0.300807 | + | 0.173671i | ||||
\(576\) | 18.0445 | + | 26.4603i | 0.751856 | + | 1.10251i | ||||
\(577\) | −0.474700 | + | 0.274068i | −0.0197620 | + | 0.0114096i | −0.509848 | − | 0.860264i | \(-0.670299\pi\) |
0.490086 | + | 0.871674i | \(0.336965\pi\) | |||||||
\(578\) | −11.5353 | + | 31.6930i | −0.479806 | + | 1.31826i | ||||
\(579\) | −3.72539 | + | 4.79340i | −0.154822 | + | 0.199207i | ||||
\(580\) | 0.626368 | + | 1.72093i | 0.0260085 | + | 0.0714578i | ||||
\(581\) | −15.3865 | + | 7.43350i | −0.638340 | + | 0.308394i | ||||
\(582\) | 17.8726 | − | 22.9964i | 0.740844 | − | 0.953232i | ||||
\(583\) | −16.6634 | + | 13.9822i | −0.690127 | + | 0.579085i | ||||
\(584\) | 1.45399 | + | 2.51838i | 0.0601665 | + | 0.104211i | ||||
\(585\) | 1.31641 | − | 0.335350i | 0.0544268 | − | 0.0138650i | ||||
\(586\) | −14.3341 | − | 8.27581i | −0.592137 | − | 0.341871i | ||||
\(587\) | 19.8533 | − | 16.6589i | 0.819432 | − | 0.687585i | −0.133407 | − | 0.991061i | \(-0.542592\pi\) |
0.952839 | + | 0.303476i | \(0.0981474\pi\) | |||||||
\(588\) | 23.2281 | + | 17.0515i | 0.957911 | + | 0.703191i | ||||
\(589\) | −7.70228 | + | 43.6818i | −0.317367 | + | 1.79988i | ||||
\(590\) | −4.74362 | − | 0.836428i | −0.195292 | − | 0.0344352i | ||||
\(591\) | 15.9680 | − | 30.2169i | 0.656836 | − | 1.24296i | ||||
\(592\) | 7.93268 | − | 6.65631i | 0.326031 | − | 0.273573i | ||||
\(593\) | 1.71212 | + | 2.96547i | 0.0703082 | + | 0.121777i | 0.899036 | − | 0.437874i | \(-0.144268\pi\) |
−0.828728 | + | 0.559651i | \(0.810935\pi\) | |||||||
\(594\) | 67.8939 | + | 4.22650i | 2.78572 | + | 0.173415i | ||||
\(595\) | −0.888768 | + | 0.0900591i | −0.0364359 | + | 0.00369206i | ||||
\(596\) | −11.6938 | + | 32.1285i | −0.478997 | + | 1.31603i | ||||
\(597\) | −9.01577 | + | 17.0609i | −0.368991 | + | 0.698256i | ||||
\(598\) | −1.53805 | − | 4.22576i | −0.0628956 | − | 0.172804i | ||||
\(599\) | 17.8781 | − | 21.3063i | 0.730479 | − | 0.870550i | −0.265125 | − | 0.964214i | \(-0.585413\pi\) |
0.995604 | + | 0.0936635i | \(0.0298578\pi\) | |||||||
\(600\) | 1.39837 | + | 6.49739i | 0.0570883 | + | 0.265255i | ||||
\(601\) | −4.26455 | − | 5.08229i | −0.173955 | − | 0.207311i | 0.672022 | − | 0.740531i | \(-0.265426\pi\) |
−0.845976 | + | 0.533220i | \(0.820982\pi\) | |||||||
\(602\) | 20.0199 | + | 9.00318i | 0.815952 | + | 0.366942i | ||||
\(603\) | 0.708112 | + | 0.508982i | 0.0288365 | + | 0.0207273i | ||||
\(604\) | −48.1383 | −1.95872 | ||||||||
\(605\) | −9.53303 | − | 3.46974i | −0.387573 | − | 0.141065i | ||||
\(606\) | −40.7401 | − | 31.6629i | −1.65495 | − | 1.28622i | ||||
\(607\) | −23.5073 | + | 28.0149i | −0.954133 | + | 1.13709i | 0.0363338 | + | 0.999340i | \(0.488432\pi\) |
−0.990467 | + | 0.137752i | \(0.956012\pi\) | |||||||
\(608\) | 57.9728 | − | 21.1004i | 2.35111 | − | 0.855733i | ||||
\(609\) | −8.30635 | − | 5.20410i | −0.336590 | − | 0.210881i | ||||
\(610\) | −1.36901 | − | 7.76403i | −0.0554295 | − | 0.314357i | ||||
\(611\) | 6.34077i | 0.256520i | ||||||||
\(612\) | −6.09058 | + | 2.74897i | −0.246197 | + | 0.111120i | ||||
\(613\) | −15.8053 | −0.638369 | −0.319185 | − | 0.947693i | \(-0.603409\pi\) | ||||
−0.319185 | + | 0.947693i | \(0.603409\pi\) | |||||||
\(614\) | 37.8771 | + | 13.7861i | 1.52860 | + | 0.556363i | ||||
\(615\) | −1.76444 | + | 5.47784i | −0.0711492 | + | 0.220888i | ||||
\(616\) | −10.7872 | − | 7.33480i | −0.434628 | − | 0.295527i | ||||
\(617\) | 10.9448 | − | 13.0434i | 0.440619 | − | 0.525109i | −0.499336 | − | 0.866409i | \(-0.666423\pi\) |
0.939955 | + | 0.341299i | \(0.110867\pi\) | |||||||
\(618\) | −20.4976 | − | 10.8319i | −0.824535 | − | 0.435723i | ||||
\(619\) | 15.2802 | + | 18.2102i | 0.614163 | + | 0.731931i | 0.980055 | − | 0.198726i | \(-0.0636805\pi\) |
−0.365892 | + | 0.930657i | \(0.619236\pi\) | |||||||
\(620\) | 4.30295 | + | 2.48431i | 0.172811 | + | 0.0997722i | ||||
\(621\) | −0.552123 | + | 8.86923i | −0.0221560 | + | 0.355910i | ||||
\(622\) | − | 27.8050i | − | 1.11488i | ||||||
\(623\) | −3.68801 | − | 13.0453i | −0.147757 | − | 0.522648i | ||||
\(624\) | 6.75484 | − | 0.253113i | 0.270410 | − | 0.0101326i | ||||
\(625\) | 4.00607 | − | 22.7195i | 0.160243 | − | 0.908782i | ||||
\(626\) | 23.9710 | + | 20.1141i | 0.958075 | + | 0.803920i | ||||
\(627\) | 25.3999 | − | 78.8557i | 1.01437 | − | 3.14919i | ||||
\(628\) | 3.22436 | − | 8.85886i | 0.128666 | − | 0.353507i | ||||
\(629\) | 1.56287 | + | 2.70698i | 0.0623158 | + | 0.107934i | ||||
\(630\) | 4.58781 | + | 3.83900i | 0.182783 | + | 0.152950i | ||||
\(631\) | 21.9990 | − | 38.1033i | 0.875765 | − | 1.51687i | 0.0198191 | − | 0.999804i | \(-0.493691\pi\) |
0.855946 | − | 0.517066i | \(-0.172976\pi\) | |||||||
\(632\) | −5.22825 | − | 6.23079i | −0.207969 | − | 0.247847i | ||||
\(633\) | −5.27230 | − | 12.9543i | −0.209555 | − | 0.514887i | ||||
\(634\) | −6.02914 | + | 34.1930i | −0.239448 | + | 1.35798i | ||||
\(635\) | 3.86986 | + | 3.24720i | 0.153571 | + | 0.128861i | ||||
\(636\) | −13.2533 | + | 5.39401i | −0.525529 | + | 0.213886i | ||||
\(637\) | 8.18213 | − | 3.23492i | 0.324188 | − | 0.128172i | ||||
\(638\) | 24.2506 | + | 14.0011i | 0.960090 | + | 0.554308i | ||||
\(639\) | −11.9721 | + | 8.16430i | −0.473607 | + | 0.322975i | ||||
\(640\) | − | 2.23049i | − | 0.0881679i | ||||||
\(641\) | 26.1576 | − | 4.61228i | 1.03316 | − | 0.182174i | 0.368740 | − | 0.929532i | \(-0.379789\pi\) |
0.664421 | + | 0.747358i | \(0.268678\pi\) | |||||||
\(642\) | 3.61000 | − | 11.2075i | 0.142475 | − | 0.442324i | ||||
\(643\) | 21.8428 | + | 3.85147i | 0.861394 | + | 0.151887i | 0.586858 | − | 0.809690i | \(-0.300365\pi\) |
0.274536 | + | 0.961577i | \(0.411476\pi\) | |||||||
\(644\) | 6.04655 | − | 8.89257i | 0.238267 | − | 0.350416i | ||||
\(645\) | 2.18796 | + | 1.15622i | 0.0861508 | + | 0.0455261i | ||||
\(646\) | 2.60237 | + | 14.7588i | 0.102389 | + | 0.580676i | ||||
\(647\) | 6.41692 | − | 11.1144i | 0.252275 | − | 0.436954i | −0.711877 | − | 0.702305i | \(-0.752154\pi\) |
0.964152 | + | 0.265351i | \(0.0854878\pi\) | |||||||
\(648\) | 6.60135 | + | 2.58920i | 0.259326 | + | 0.101713i | ||||
\(649\) | −34.6356 | + | 19.9969i | −1.35957 | + | 0.784946i | ||||
\(650\) | 12.0340 | + | 4.38000i | 0.472011 | + | 0.171798i | ||||
\(651\) | −26.3387 | + | 3.66980i | −1.03230 | + | 0.143831i | ||||
\(652\) | −31.5280 | − | 26.4551i | −1.23473 | − | 1.03606i | ||||
\(653\) | 3.64829 | + | 10.0236i | 0.142769 | + | 0.392254i | 0.990382 | − | 0.138361i | \(-0.0441834\pi\) |
−0.847613 | + | 0.530615i | \(0.821961\pi\) | |||||||
\(654\) | −9.61130 | − | 44.6579i | −0.375832 | − | 1.74626i | ||||
\(655\) | −0.164044 | − | 0.930342i | −0.00640975 | − | 0.0363515i | ||||
\(656\) | −14.3183 | + | 24.8000i | −0.559035 | + | 0.968277i | ||||
\(657\) | −9.97658 | − | 4.80314i | −0.389223 | − | 0.187388i | ||||
\(658\) | −22.6509 | + | 16.3280i | −0.883024 | + | 0.636530i | ||||
\(659\) | 12.4568 | − | 2.19647i | 0.485248 | − | 0.0855623i | 0.0743281 | − | 0.997234i | \(-0.476319\pi\) |
0.410920 | + | 0.911672i | \(0.365208\pi\) | |||||||
\(660\) | −7.32740 | − | 5.69479i | −0.285218 | − | 0.221669i | ||||
\(661\) | 32.7769 | + | 5.77946i | 1.27487 | + | 0.224795i | 0.769802 | − | 0.638282i | \(-0.220355\pi\) |
0.505072 | + | 0.863077i | \(0.331466\pi\) | |||||||
\(662\) | −47.3134 | − | 8.34263i | −1.83889 | − | 0.324246i | ||||
\(663\) | −0.278816 | + | 2.02122i | −0.0108283 | + | 0.0784978i | ||||
\(664\) | 5.01139 | − | 0.883643i | 0.194479 | − | 0.0342920i | ||||
\(665\) | 5.90997 | − | 4.26022i | 0.229179 | − | 0.165204i | ||||
\(666\) | 5.66696 | − | 20.1499i | 0.219590 | − | 0.780793i | ||||
\(667\) | −1.82901 | + | 3.16794i | −0.0708196 | + | 0.122663i | ||||
\(668\) | 5.06642 | + | 28.7331i | 0.196026 | + | 1.11172i | ||||
\(669\) | 10.6862 | + | 3.44210i | 0.413154 | + | 0.133079i | ||||
\(670\) | −0.0749310 | − | 0.205871i | −0.00289484 | − | 0.00795350i | ||||
\(671\) | −50.1446 | − | 42.0763i | −1.93581 | − | 1.62434i | ||||
\(672\) | 22.7374 | + | 29.1738i | 0.877114 | + | 1.12541i | ||||
\(673\) | 21.0468 | + | 7.66040i | 0.811294 | + | 0.295287i | 0.714158 | − | 0.699984i | \(-0.246810\pi\) |
0.0971357 | + | 0.995271i | \(0.469032\pi\) | |||||||
\(674\) | −49.7797 | + | 28.7403i | −1.91744 | + | 1.10704i | ||||
\(675\) | −18.3377 | − | 17.4397i | −0.705818 | − | 0.671253i | ||||
\(676\) | 13.5706 | − | 23.5051i | 0.521948 | − | 0.904040i | ||||
\(677\) | −8.03399 | − | 45.5630i | −0.308771 | − | 1.75113i | −0.605199 | − | 0.796074i | \(-0.706906\pi\) |
0.296427 | − | 0.955055i | \(-0.404205\pi\) | |||||||
\(678\) | −45.3376 | + | 28.4909i | −1.74118 | + | 1.09419i | ||||
\(679\) | 11.9575 | − | 17.5858i | 0.458888 | − | 0.674879i | ||||
\(680\) | 0.261982 | + | 0.0461946i | 0.0100466 | + | 0.00177148i | ||||
\(681\) | −11.7456 | + | 2.52790i | −0.450093 | + | 0.0968692i | ||||
\(682\) | 74.8171 | − | 13.1923i | 2.86489 | − | 0.505158i | ||||
\(683\) | 8.70104i | 0.332936i | 0.986047 | + | 0.166468i | \(0.0532362\pi\) | ||||
−0.986047 | + | 0.166468i | \(0.946764\pi\) | |||||||
\(684\) | 31.8072 | − | 44.2512i | 1.21618 | − | 1.69199i | ||||
\(685\) | −3.03920 | − | 1.75468i | −0.116122 | − | 0.0670431i | ||||
\(686\) | 32.6256 | + | 20.8985i | 1.24565 | + | 0.797910i | ||||
\(687\) | 4.36835 | − | 31.6675i | 0.166663 | − | 1.20819i | ||||
\(688\) | 9.43295 | + | 7.91518i | 0.359628 | + | 0.301764i | ||||
\(689\) | −0.758692 | + | 4.30276i | −0.0289039 | + | 0.163922i | ||||
\(690\) | 1.36997 | − | 1.76272i | 0.0521541 | − | 0.0671058i | ||||
\(691\) | −7.31456 | − | 8.71715i | −0.278259 | − | 0.331616i | 0.608755 | − | 0.793358i | \(-0.291669\pi\) |
−0.887014 | + | 0.461742i | \(0.847225\pi\) | |||||||
\(692\) | 25.0940 | − | 43.4641i | 0.953932 | − | 1.65226i | ||||
\(693\) | 49.6695 | − | 0.0675694i | 1.88679 | − | 0.00256675i | ||||
\(694\) | 10.4314 | + | 18.0677i | 0.395971 | + | 0.685841i | ||||
\(695\) | −0.0160275 | + | 0.0440351i | −0.000607956 | + | 0.00167035i | ||||
\(696\) | 1.95868 | + | 2.16422i | 0.0742434 | + | 0.0820345i | ||||
\(697\) | −6.62159 | − | 5.55618i | −0.250811 | − | 0.210455i | ||||
\(698\) | −10.1487 | + | 57.5561i | −0.384134 | + | 2.17853i | ||||
\(699\) | −22.1734 | − | 35.2846i | −0.838676 | − | 1.33459i | ||||
\(700\) | 8.33100 | + | 29.4685i | 0.314882 | + | 1.11381i | ||||
\(701\) | 19.8586i | 0.750050i | 0.927015 | + | 0.375025i | \(0.122366\pi\) | ||||
−0.927015 | + | 0.375025i | \(0.877634\pi\) | |||||||
\(702\) | 10.9922 | − | 8.11535i | 0.414873 | − | 0.306294i | ||||
\(703\) | −22.0766 | − | 12.7459i | −0.832634 | − | 0.480722i | ||||
\(704\) | −42.9426 | − | 51.1769i | −1.61846 | − | 1.92880i | ||||
\(705\) | −2.66527 | + | 1.67490i | −0.100380 | + | 0.0630803i | ||||
\(706\) | 31.7753 | − | 37.8683i | 1.19588 | − | 1.42519i | ||||
\(707\) | −31.1547 | − | 21.1838i | −1.17169 | − | 0.796698i | ||||
\(708\) | −25.7193 | + | 5.53532i | −0.966590 | + | 0.208030i | ||||
\(709\) | −19.2290 | − | 6.99878i | −0.722160 | − | 0.262845i | −0.0453176 | − | 0.998973i | \(-0.514430\pi\) |
−0.676843 | + | 0.736128i | \(0.736652\pi\) | |||||||
\(710\) | 3.64049 | 0.136625 | ||||||||
\(711\) | 29.8138 | + | 8.38483i | 1.11810 | + | 0.314456i | ||||
\(712\) | 4.03705i | 0.151295i | ||||||||
\(713\) | 1.72335 | + | 9.77363i | 0.0645402 | + | 0.366025i | ||||
\(714\) | −7.93831 | + | 4.20880i | −0.297084 | + | 0.157510i | ||||
\(715\) | −2.66274 | + | 0.969157i | −0.0995807 | + | 0.0362444i | ||||
\(716\) | 14.3507 | − | 17.1025i | 0.536311 | − | 0.639150i | ||||
\(717\) | 1.31198 | − | 9.51092i | 0.0489966 | − | 0.355192i | ||||
\(718\) | −0.0585778 | − | 0.0213206i | −0.00218611 | − | 0.000795677i | ||||
\(719\) | 22.3708 | 0.834292 | 0.417146 | − | 0.908840i | \(-0.363030\pi\) | ||||
0.417146 | + | 0.908840i | \(0.363030\pi\) | |||||||
\(720\) | 1.89067 | + | 2.77246i | 0.0704610 | + | 0.103323i | ||||
\(721\) | −15.4385 | − | 6.94287i | −0.574961 | − | 0.258566i | ||||
\(722\) | −53.0123 | − | 63.1776i | −1.97291 | − | 2.35123i | ||||
\(723\) | 16.8061 | + | 5.41334i | 0.625025 | + | 0.201324i | ||||
\(724\) | 14.2083 | − | 16.9327i | 0.528046 | − | 0.629301i | ||||
\(725\) | −3.56289 | − | 9.78896i | −0.132322 | − | 0.363553i | ||||
\(726\) | −101.966 | + | 3.82079i | −3.78430 | + | 0.141803i | ||||
\(727\) | 2.58356 | − | 7.09828i | 0.0958190 | − | 0.263261i | −0.882518 | − | 0.470278i | \(-0.844154\pi\) |
0.978337 | + | 0.207018i | \(0.0663758\pi\) | |||||||
\(728\) | −2.60675 | + | 0.264143i | −0.0966126 | + | 0.00978978i | ||||
\(729\) | −26.3211 | + | 6.01659i | −0.974856 | + | 0.222837i | ||||
\(730\) | 1.39086 | + | 2.40904i | 0.0514781 | + | 0.0891627i | ||||
\(731\) | −2.84731 | + | 2.38918i | −0.105312 | + | 0.0883670i | ||||
\(732\) | −22.9110 | − | 36.4583i | −0.846815 | − | 1.34754i | ||||
\(733\) | 16.7724 | + | 2.95743i | 0.619503 | + | 0.109235i | 0.474586 | − | 0.880209i | \(-0.342598\pi\) |
0.144916 | + | 0.989444i | \(0.453709\pi\) | |||||||
\(734\) | −5.69560 | + | 32.3013i | −0.210228 | + | 1.19226i | ||||
\(735\) | 3.52105 | + | 2.58476i | 0.129876 | + | 0.0953404i | ||||
\(736\) | 10.5742 | − | 8.87281i | 0.389770 | − | 0.327056i | ||||
\(737\) | −1.57534 | − | 0.909523i | −0.0580284 | − | 0.0335027i | ||||
\(738\) | 4.33190 | + | 57.7216i | 0.159459 | + | 2.12476i | ||||
\(739\) | −3.49112 | − | 6.04680i | −0.128423 | − | 0.222435i | 0.794643 | − | 0.607077i | \(-0.207658\pi\) |
−0.923066 | + | 0.384642i | \(0.874325\pi\) | |||||||
\(740\) | −2.18747 | + | 1.83550i | −0.0804129 | + | 0.0674745i | ||||
\(741\) | −6.27276 | − | 15.4125i | −0.230436 | − | 0.566191i | ||||
\(742\) | −17.3243 | + | 8.36967i | −0.635994 | + | 0.307260i | ||||
\(743\) | −0.493042 | − | 1.35462i | −0.0180880 | − | 0.0496962i | 0.930320 | − | 0.366749i | \(-0.119529\pi\) |
−0.948408 | + | 0.317052i | \(0.897307\pi\) | |||||||
\(744\) | 7.84496 | + | 1.08217i | 0.287610 | + | 0.0396742i | ||||
\(745\) | −1.77262 | + | 4.87022i | −0.0649436 | + | 0.178431i | ||||
\(746\) | 27.7650 | − | 16.0301i | 1.01655 | − | 0.586905i | ||||
\(747\) | −13.8692 | + | 13.5306i | −0.507447 | + | 0.495057i | ||||
\(748\) | 12.0712 | − | 6.96930i | 0.441366 | − | 0.254823i | ||||
\(749\) | 2.11102 | − | 8.33412i | 0.0771349 | − | 0.304522i | ||||
\(750\) | 2.71097 | + | 12.5962i | 0.0989905 | + | 0.459949i | ||||
\(751\) | 17.6380 | − | 6.41970i | 0.643619 | − | 0.234258i | 0.000470879 | − | 1.00000i | \(-0.499850\pi\) |
0.643148 | + | 0.765742i | \(0.277628\pi\) | |||||||
\(752\) | −14.7189 | + | 5.35724i | −0.536743 | + | 0.195358i | ||||
\(753\) | 31.8189 | + | 16.8146i | 1.15954 | + | 0.612757i | ||||
\(754\) | 5.53897 | − | 0.976670i | 0.201717 | − | 0.0355682i | ||||
\(755\) | −7.29709 | −0.265568 | ||||||||
\(756\) | 31.1131 | + | 9.97501i | 1.13157 | + | 0.362788i | ||||
\(757\) | −6.53601 | −0.237555 | −0.118778 | − | 0.992921i | \(-0.537898\pi\) | ||||
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(758\) | −36.9936 | + | 6.52297i | −1.34367 | + | 0.236925i | ||||
\(759\) | −0.694096 | − | 18.5234i | −0.0251941 | − | 0.672355i | ||||
\(760\) | −2.03870 | + | 0.742027i | −0.0739515 | + | 0.0269162i | ||||
\(761\) | −3.33224 | + | 1.21283i | −0.120793 | + | 0.0439652i | −0.401710 | − | 0.915767i | \(-0.631584\pi\) |
0.280916 | + | 0.959732i | \(0.409362\pi\) | |||||||
\(762\) | 48.3636 | + | 15.5782i | 1.75203 | + | 0.564338i | ||||
\(763\) | −9.07387 | − | 32.0962i | −0.328496 | − | 1.16196i | ||||
\(764\) | 18.7848 | − | 10.8454i | 0.679609 | − | 0.392373i | ||||
\(765\) | −0.923246 | + | 0.416704i | −0.0333800 | + | 0.0150660i | ||||
\(766\) | 62.6150 | − | 36.1508i | 2.26237 | − | 1.30618i | ||||
\(767\) | −2.74745 | + | 7.54856i | −0.0992047 | + | 0.272563i | ||||
\(768\) | 5.48401 | + | 13.4745i | 0.197887 | + | 0.486218i | ||||
\(769\) | −3.05429 | − | 8.39159i | −0.110141 | − | 0.302609i | 0.872361 | − | 0.488862i | \(-0.162588\pi\) |
−0.982502 | + | 0.186253i | \(0.940366\pi\) | |||||||
\(770\) | −10.3188 | − | 7.01634i | −0.371865 | − | 0.252852i | ||||
\(771\) | −43.4964 | − | 6.00008i | −1.56648 | − | 0.216087i | ||||
\(772\) | 6.38118 | − | 5.35444i | 0.229664 | − | 0.192711i | ||||
\(773\) | 0.840279 | + | 1.45541i | 0.0302227 | + | 0.0523473i | 0.880741 | − | 0.473598i | \(-0.157045\pi\) |
−0.850518 | + | 0.525945i | \(0.823712\pi\) | |||||||
\(774\) | 24.7669 | + | 2.47560i | 0.890228 | + | 0.0889837i | ||||
\(775\) | −24.4759 | − | 14.1312i | −0.879201 | − | 0.507607i | ||||
\(776\) | −4.85124 | + | 4.07068i | −0.174149 | + | 0.146129i | ||||
\(777\) | 3.19536 | − | 14.9457i | 0.114633 | − | 0.536175i | ||||
\(778\) | −0.125481 | + | 0.711640i | −0.00449872 | + | 0.0255135i | ||||
\(779\) | 69.4237 | + | 12.2413i | 2.48736 | + | 0.438589i | ||||
\(780\) | −1.86267 | + | 0.0697970i | −0.0666944 | + | 0.00249913i | ||||
\(781\) | 23.1551 | − | 19.4295i | 0.828556 | − | 0.695241i | ||||
\(782\) | 1.67658 | + | 2.90392i | 0.0599543 | + | 0.103844i | ||||
\(783\) | −10.8045 | − | 2.60632i | −0.386120 | − | 0.0931422i | ||||
\(784\) | 14.4222 | + | 16.2601i | 0.515080 | + | 0.580718i | ||||
\(785\) | 0.488767 | − | 1.34288i | 0.0174449 | − | 0.0479293i | ||||
\(786\) | −5.05568 | − | 8.04510i | −0.180330 | − | 0.286959i | ||||
\(787\) | −6.73495 | − | 18.5041i | −0.240075 | − | 0.659600i | −0.999955 | − | 0.00953653i | \(-0.996964\pi\) |
0.759880 | − | 0.650064i | \(-0.225258\pi\) | |||||||
\(788\) | −30.1435 | + | 35.9236i | −1.07382 | + | 1.27973i | ||||
\(789\) | −5.10199 | + | 4.61744i | −0.181636 | + | 0.164385i | ||||
\(790\) | −5.00126 | − | 5.96027i | −0.177937 | − | 0.212057i | ||||
\(791\) | −31.7163 | + | 22.8627i | −1.12770 | + | 0.812906i | ||||
\(792\) | −14.2388 | − | 4.00452i | −0.505954 | − | 0.142295i | ||||
\(793\) | −13.1479 | −0.466895 | ||||||||
\(794\) | −5.15428 | − | 1.87601i | −0.182919 | − | 0.0665769i | ||||
\(795\) | −2.00902 | + | 0.817655i | −0.0712525 | + | 0.0289992i | ||||
\(796\) | 17.0194 | − | 20.2830i | 0.603238 | − | 0.718912i | ||||
\(797\) | 6.04013 | − | 2.19843i | 0.213952 | − | 0.0778723i | −0.232820 | − | 0.972520i | \(-0.574795\pi\) |
0.446773 | + | 0.894647i | \(0.352573\pi\) | |||||||
\(798\) | 38.9046 | − | 62.0962i | 1.37721 | − | 2.19818i | ||||
\(799\) | −0.821008 | − | 4.65617i | −0.0290452 | − | 0.164723i | ||||
\(800\) | 39.3095i | 1.38980i | ||||||||
\(801\) | −8.66057 | − | 12.6998i | −0.306006 | − | 0.448725i | ||||
\(802\) | −36.1186 | −1.27539 | ||||||||
\(803\) | 21.7037 | + | 7.89950i | 0.765907 | + | 0.278767i | ||||
\(804\) | −0.802933 | − | 0.887192i | −0.0283173 | − | 0.0312888i | ||||
\(805\) | 0.916571 | − | 1.34799i | 0.0323049 | − | 0.0475103i | ||||
\(806\) | 9.80851 | − | 11.6893i | 0.345490 | − | 0.411739i | ||||
\(807\) | 0.304894 | + | 8.13671i | 0.0107328 | + | 0.286426i | ||||
\(808\) | 7.21155 | + | 8.59439i | 0.253701 | + | 0.302350i | ||||
\(809\) | −18.3341 | − | 10.5852i | −0.644592 | − | 0.372155i | 0.141789 | − | 0.989897i | \(-0.454715\pi\) |
−0.786381 | + | 0.617741i | \(0.788048\pi\) | |||||||
\(810\) | 6.31474 | + | 2.47678i | 0.221878 | + | 0.0870253i | ||||
\(811\) | 36.0138i | 1.26461i | 0.774718 | + | 0.632307i | \(0.217892\pi\) | ||||
−0.774718 | + | 0.632307i | \(0.782108\pi\) | |||||||
\(812\) | 9.63989 | + | 9.37895i | 0.338294 | + | 0.329137i | ||||
\(813\) | 6.96154 | − | 13.1736i | 0.244152 | − | 0.462018i | ||||
\(814\) | −7.58179 | + | 42.9985i | −0.265742 | + | 1.50710i | ||||
\(815\) | −4.77919 | − | 4.01022i | −0.167408 | − | 0.140472i | ||||
\(816\) | −4.92746 | + | 1.06049i | −0.172495 | + | 0.0371245i | ||||
\(817\) | 10.3677 | − | 28.4849i | 0.362718 | − | 0.996561i | ||||
\(818\) | 24.1511 | + | 41.8310i | 0.844424 | + | 1.46259i | ||||
\(819\) | 7.63368 | − | 6.42313i | 0.266742 | − | 0.224442i | ||||
\(820\) | 3.94832 | − | 6.83869i | 0.137881 | − | 0.238818i | ||||
\(821\) | −18.5058 | − | 22.0543i | −0.645855 | − | 0.769700i | 0.339428 | − | 0.940632i | \(-0.389767\pi\) |
−0.985283 | + | 0.170932i | \(0.945322\pi\) | |||||||
\(822\) | −34.9662 | − | 4.82339i | −1.21959 | − | 0.168235i | ||||
\(823\) | −3.40065 | + | 19.2861i | −0.118539 | + | 0.672270i | 0.866397 | + | 0.499355i | \(0.166430\pi\) |
−0.984937 | + | 0.172915i | \(0.944681\pi\) | |||||||
\(824\) | 3.86162 | + | 3.24028i | 0.134526 | + | 0.112881i | ||||
\(825\) | 41.6795 | + | 32.3930i | 1.45109 | + | 1.12778i | ||||
\(826\) | −34.0403 | + | 9.62349i | −1.18441 | + | 0.334844i | ||||
\(827\) | 13.9928 | + | 8.07875i | 0.486577 | + | 0.280925i | 0.723153 | − | 0.690687i | \(-0.242692\pi\) |
−0.236576 | + | 0.971613i | \(0.576025\pi\) | |||||||
\(828\) | 3.30119 | − | 11.7380i | 0.114724 | − | 0.407923i | ||||
\(829\) | 32.1140i | 1.11537i | 0.830054 | + | 0.557683i | \(0.188310\pi\) | ||||
−0.830054 | + | 0.557683i | \(0.811690\pi\) | |||||||
\(830\) | 4.79381 | − | 0.845278i | 0.166396 | − | 0.0293400i | ||||
\(831\) | −18.4638 | − | 20.4013i | −0.640501 | − | 0.707715i | ||||
\(832\) | −13.2147 | − | 2.33011i | −0.458138 | − | 0.0807821i | ||||
\(833\) | −5.58946 | + | 3.43490i | −0.193663 | + | 0.119012i | ||||
\(834\) | 0.0176490 | + | 0.471000i | 0.000611136 | + | 0.0163094i | ||||
\(835\) | 0.767997 | + | 4.35553i | 0.0265776 | + | 0.150729i | ||||
\(836\) | −56.8377 | + | 98.4458i | −1.96577 | + | 3.40482i | ||||
\(837\) | −27.0003 | + | 13.4253i | −0.933266 | + | 0.464046i | ||||
\(838\) | 42.0236 | − | 24.2623i | 1.45168 | − | 0.838128i | ||||
\(839\) | 4.91418 | + | 1.78862i | 0.169656 | + | 0.0617499i | 0.425452 | − | 0.904981i | \(-0.360115\pi\) |
−0.255795 | + | 0.966731i | \(0.582337\pi\) | |||||||
\(840\) | −0.799596 | − | 1.02594i | −0.0275887 | − | 0.0353984i | ||||
\(841\) | 18.7105 | + | 15.7000i | 0.645190 | + | 0.541379i | ||||
\(842\) | 13.5236 | + | 37.1558i | 0.466054 | + | 1.28047i | ||||
\(843\) | −27.7346 | + | 25.1006i | −0.955232 | + | 0.864511i | ||||
\(844\) | 3.33246 | + | 18.8993i | 0.114708 | + | 0.650541i | ||||
\(845\) | 2.05712 | − | 3.56303i | 0.0707670 | − | 0.122572i | ||||
\(846\) | −18.4792 | + | 25.7089i | −0.635328 | + | 0.883889i | ||||
\(847\) | −74.1241 | + | 7.51101i | −2.54693 | + | 0.258081i | ||||
\(848\) | −10.6290 | + | 1.87419i | −0.365003 | + | 0.0643598i | ||||
\(849\) | 7.29371 | − | 2.96849i | 0.250320 | − | 0.101878i | ||||
\(850\) | −9.40393 | − | 1.65817i | −0.322552 | − | 0.0568746i | ||||
\(851\) | −5.61705 | − | 0.990437i | −0.192550 | − | 0.0339518i | ||||
\(852\) | 18.4166 | − | 7.49542i | 0.630943 | − | 0.256789i | ||||
\(853\) | 39.1762 | − | 6.90782i | 1.34137 | − | 0.236519i | 0.543529 | − | 0.839391i | \(-0.317088\pi\) |
0.797838 | + | 0.602871i | \(0.205977\pi\) | |||||||
\(854\) | −33.8568 | − | 46.9677i | −1.15856 | − | 1.60720i | ||||
\(855\) | 4.82152 | − | 6.70785i | 0.164892 | − | 0.229404i | ||||
\(856\) | −1.28011 | + | 2.21721i | −0.0437532 | + | 0.0757828i | ||||
\(857\) | 7.52170 | + | 42.6577i | 0.256936 | + | 1.45716i | 0.791053 | + | 0.611747i | \(0.209533\pi\) |
−0.534117 | + | 0.845410i | \(0.679356\pi\) | |||||||
\(858\) | −21.1315 | + | 19.1246i | −0.721417 | + | 0.652902i | ||||
\(859\) | 4.68725 | + | 12.8781i | 0.159927 | + | 0.439395i | 0.993613 | − | 0.112844i | \(-0.0359959\pi\) |
−0.833686 | + | 0.552239i | \(0.813774\pi\) | |||||||
\(860\) | −2.60117 | − | 2.18264i | −0.0886993 | − | 0.0744275i | ||||
\(861\) | 5.83242 | + | 41.8603i | 0.198768 | + | 1.42659i | ||||
\(862\) | 79.5171 | + | 28.9419i | 2.70836 | + | 0.985764i | ||||
\(863\) | −24.1671 | + | 13.9529i | −0.822659 | + | 0.474962i | −0.851333 | − | 0.524626i | \(-0.824205\pi\) |
0.0286735 | + | 0.999589i | \(0.490872\pi\) | |||||||
\(864\) | 34.9483 | + | 23.1863i | 1.18896 | + | 0.788815i | ||||
\(865\) | 3.80390 | − | 6.58855i | 0.129336 | − | 0.224017i | ||||
\(866\) | −2.02524 | − | 11.4857i | −0.0688204 | − | 0.390300i | ||||
\(867\) | 1.04560 | + | 27.9039i | 0.0355103 | + | 0.947666i | ||||
\(868\) | 36.3908 | + | 2.68129i | 1.23519 | + | 0.0910088i | ||||
\(869\) | −63.6205 | − | 11.2180i | −2.15818 | − | 0.380545i | ||||
\(870\) | 1.87364 | + | 2.07026i | 0.0635222 | + | 0.0701882i | ||||
\(871\) | −0.359817 | + | 0.0634454i | −0.0121919 | + | 0.00214976i | ||||
\(872\) | 9.93263i | 0.336361i | ||||||||
\(873\) | 6.52836 | − | 23.2128i | 0.220952 | − | 0.785634i | ||||
\(874\) | −23.6828 | − | 13.6732i | −0.801081 | − | 0.462504i | ||||
\(875\) | 2.55938 | + | 9.05306i | 0.0865228 | + | 0.306049i | ||||
\(876\) | 11.9961 | + | 9.32329i | 0.405312 | + | 0.315005i | ||||
\(877\) | −28.2148 | − | 23.6751i | −0.952748 | − | 0.799450i | 0.0270106 | − | 0.999635i | \(-0.491401\pi\) |
−0.979758 | + | 0.200185i | \(0.935846\pi\) | |||||||
\(878\) | 12.4166 | − | 70.4181i | 0.419040 | − | 2.37649i | ||||
\(879\) | −13.5750 | − | 1.87259i | −0.457873 | − | 0.0631609i | ||||
\(880\) | −4.49943 | − | 5.36221i | −0.151676 | − | 0.180760i | ||||
\(881\) | −23.0421 | + | 39.9101i | −0.776309 | + | 1.34461i | 0.157747 | + | 0.987480i | \(0.449577\pi\) |
−0.934056 | + | 0.357127i | \(0.883756\pi\) | |||||||
\(882\) | 42.6024 | + | 10.7295i | 1.43450 | + | 0.361279i | ||||
\(883\) | −18.9002 | − | 32.7361i | −0.636043 | − | 1.10166i | −0.986293 | − | 0.165002i | \(-0.947237\pi\) |
0.350251 | − | 0.936656i | \(-0.386096\pi\) | |||||||
\(884\) | 0.957540 | − | 2.63082i | 0.0322056 | − | 0.0884840i | ||||
\(885\) | −3.89868 | + | 0.839075i | −0.131053 | + | 0.0282052i | ||||
\(886\) | 21.2973 | + | 17.8705i | 0.715495 | + | 0.600372i | ||||
\(887\) | −0.236461 | + | 1.34104i | −0.00793958 | + | 0.0450276i | −0.988520 | − | 0.151089i | \(-0.951722\pi\) |
0.980581 | + | 0.196117i | \(0.0628331\pi\) | |||||||
\(888\) | −2.12647 | + | 4.02400i | −0.0713595 | + | 0.135036i | ||||
\(889\) | 35.9642 | + | 9.10965i | 1.20620 | + | 0.305528i | ||||
\(890\) | 3.86177i | 0.129447i | ||||||||
\(891\) | 53.3834 | − | 17.9487i | 1.78841 | − | 0.601303i | ||||
\(892\) | −13.3410 | − | 7.70245i | −0.446691 | − | 0.257897i | ||||
\(893\) | 24.7852 | + | 29.5378i | 0.829405 | + | 0.988446i | ||||
\(894\) | 1.95196 | + | 52.0920i | 0.0652833 | + | 1.74222i | ||||
\(895\) | 2.17536 | − | 2.59250i | 0.0727143 | − | 0.0866576i | ||||
\(896\) | −7.12581 | − | 14.7496i | −0.238057 | − | 0.492750i | ||||
\(897\) | −2.49831 | − | 2.76048i | −0.0834163 | − | 0.0921699i | ||||
\(898\) | 23.8936 | + | 8.69657i | 0.797341 | + | 0.290208i | ||||
\(899\) | −12.4126 | −0.413984 | ||||||||
\(900\) | 19.5637 | + | 28.6880i | 0.652124 | + | 0.956268i | ||||
\(901\) | − | 3.25784i | − | 0.108535i | ||||||
\(902\) | −20.9665 | − | 118.907i | −0.698109 | − | 3.95917i | ||||
\(903\) | 18.1621 | + | 0.655820i | 0.604398 | + | 0.0218243i | ||||
\(904\) | 10.9408 | − | 3.98214i | 0.363887 | − | 0.132444i | ||||
\(905\) | 2.15377 | − | 2.56676i | 0.0715938 | − | 0.0853221i | ||||
\(906\) | −67.9798 | + | 27.6673i | −2.25848 | + | 0.919183i | ||||
\(907\) | 29.4991 | + | 10.7368i | 0.979502 | + | 0.356510i | 0.781647 | − | 0.623722i | \(-0.214380\pi\) |
0.197855 | + | 0.980231i | \(0.436602\pi\) | |||||||
\(908\) | 16.4856 | 0.547095 | ||||||||
\(909\) | −41.1234 | − | 11.5656i | −1.36398 | − | 0.383605i | ||||
\(910\) | −2.49357 | + | 0.252675i | −0.0826612 | + | 0.00837608i | ||||
\(911\) | −23.0479 | − | 27.4674i | −0.763610 | − | 0.910034i | 0.234461 | − | 0.972126i | \(-0.424668\pi\) |
−0.998070 | + | 0.0620911i | \(0.980223\pi\) | |||||||
\(912\) | 30.4774 | − | 27.5828i | 1.00921 | − | 0.913359i | ||||
\(913\) | 25.9795 | − | 30.9612i | 0.859796 | − | 1.02467i | ||||
\(914\) | 10.2403 | + | 28.1350i | 0.338719 | + | 0.930622i | ||||
\(915\) | −3.47298 | − | 5.52656i | −0.114813 | − | 0.182702i | ||||
\(916\) | −15.0022 | + | 41.2183i | −0.495688 | + | 1.36189i | ||||
\(917\) | −4.05697 | − | 5.62801i | −0.133973 | − | 0.185853i | ||||
\(918\) | −7.02102 | + | 7.38255i | −0.231728 | + | 0.243661i | ||||
\(919\) | −10.7450 | − | 18.6110i | −0.354446 | − | 0.613919i | 0.632577 | − | 0.774498i | \(-0.281997\pi\) |
−0.987023 | + | 0.160579i | \(0.948664\pi\) | |||||||
\(920\) | −0.371858 | + | 0.312026i | −0.0122598 | + | 0.0102872i | ||||
\(921\) | 33.3486 | − | 1.24962i | 1.09887 | − | 0.0411763i | ||||
\(922\) | −51.0432 | − | 9.00029i | −1.68102 | − | 0.296409i | ||||
\(923\) | 1.05427 | − | 5.97904i | 0.0347016 | − | 0.196802i | ||||
\(924\) | −66.6472 | − | 14.2490i | −2.19253 | − | 0.468758i | ||||
\(925\) | 12.4427 | − | 10.4407i | 0.409113 | − | 0.343287i | ||||
\(926\) | 31.9406 | + | 18.4409i | 1.04963 | + | 0.606005i | ||||
\(927\) | −19.0992 | − | 1.90908i | −0.627300 | − | 0.0627024i | ||||
\(928\) | 8.63222 | + | 14.9514i | 0.283366 | + | 0.490805i | ||||
\(929\) | 30.1571 | − | 25.3048i | 0.989422 | − | 0.830224i | 0.00393798 | − | 0.999992i | \(-0.498747\pi\) |
0.985484 | + | 0.169769i | \(0.0543021\pi\) | |||||||
\(930\) | 7.50436 | + | 1.03518i | 0.246078 | + | 0.0339450i | ||||
\(931\) | 25.4707 | − | 47.0524i | 0.834770 | − | 1.54208i | ||||
\(932\) | 19.5572 | + | 53.7330i | 0.640618 | + | 1.76008i | ||||
\(933\) | −8.67798 | − | 21.3222i | −0.284104 | − | 0.698058i | ||||
\(934\) | −2.55503 | + | 7.01988i | −0.0836031 | + | 0.229697i | ||||
\(935\) | 1.82982 | − | 1.05645i | 0.0598415 | − | 0.0345495i | ||||
\(936\) | −2.70787 | + | 1.22219i | −0.0885096 | + | 0.0399486i | ||||
\(937\) | 42.7796 | − | 24.6988i | 1.39755 | − | 0.806875i | 0.403413 | − | 0.915018i | \(-0.367824\pi\) |
0.994135 | + | 0.108143i | \(0.0344905\pi\) | |||||||
\(938\) | −1.15320 | − | 1.12198i | −0.0376533 | − | 0.0366340i | ||||
\(939\) | 24.6597 | + | 7.94305i | 0.804740 | + | 0.259212i | ||||
\(940\) | 4.05879 | − | 1.47728i | 0.132383 | − | 0.0481836i | ||||
\(941\) | 14.3771 | − | 5.23283i | 0.468679 | − | 0.170585i | −0.0968746 | − | 0.995297i | \(-0.530885\pi\) |
0.565554 | + | 0.824711i | \(0.308662\pi\) | |||||||
\(942\) | −0.538218 | − | 14.3634i | −0.0175361 | − | 0.467986i | ||||
\(943\) | 15.5333 | − | 2.73893i | 0.505833 | − | 0.0891920i | ||||
\(944\) | −19.8438 | −0.645862 | ||||||||
\(945\) | 4.71630 | + | 1.51207i | 0.153421 | + | 0.0491876i | ||||
\(946\) | −51.9193 | −1.68804 | ||||||||
\(947\) | 8.19844 | − | 1.44561i | 0.266413 | − | 0.0469759i | −0.0388456 | − | 0.999245i | \(-0.512368\pi\) |
0.305259 | + | 0.952269i | \(0.401257\pi\) | |||||||
\(948\) | −37.5722 | − | 19.8549i | −1.22029 | − | 0.644857i | ||||
\(949\) | 4.35933 | − | 1.58667i | 0.141510 | − | 0.0515054i | ||||
\(950\) | 73.1798 | − | 26.6353i | 2.37427 | − | 0.864162i | ||||
\(951\) | 6.04823 | + | 28.1025i | 0.196127 | + | 0.911285i | ||||
\(952\) | 1.87999 | − | 0.531490i | 0.0609309 | − | 0.0172257i | ||||
\(953\) | −11.5050 | + | 6.64241i | −0.372683 | + | 0.215169i | −0.674630 | − | 0.738156i | \(-0.735697\pi\) |
0.301947 | + | 0.953325i | \(0.402363\pi\) | |||||||
\(954\) | −15.6159 | + | 15.2346i | −0.505582 | + | 0.493238i | ||||
\(955\) | 2.84750 | − | 1.64401i | 0.0921431 | − | 0.0531988i | ||||
\(956\) | −4.50573 | + | 12.3794i | −0.145726 | + | 0.400378i | ||||
\(957\) | 22.9662 | + | 3.16806i | 0.742393 | + | 0.102409i | ||||
\(958\) | −4.59825 | − | 12.6336i | −0.148563 | − | 0.408172i | ||||
\(959\) | −25.7031 | − | 1.89381i | −0.829997 | − | 0.0611544i | ||||
\(960\) | −2.51120 | − | 6.17014i | −0.0810487 | − | 0.199140i | ||||
\(961\) | −2.04997 | + | 1.72013i | −0.0661281 | + | 0.0554881i | ||||
\(962\) | 4.38488 | + | 7.59484i | 0.141374 | + | 0.244867i | ||||
\(963\) | −0.729551 | − | 9.72111i | −0.0235095 | − | 0.313258i | ||||
\(964\) | −20.9812 | − | 12.1135i | −0.675759 | − | 0.390150i | ||||
\(965\) | 0.967296 | − | 0.811658i | 0.0311384 | − | 0.0261282i | ||||
\(966\) | 3.42783 | − | 16.0331i | 0.110289 | − | 0.515856i | ||||
\(967\) | −2.63510 | + | 14.9444i | −0.0847390 | + | 0.480579i | 0.912674 | + | 0.408689i | \(0.134014\pi\) |
−0.997413 | + | 0.0718894i | \(0.977097\pi\) | |||||||
\(968\) | 21.8496 | + | 3.85267i | 0.702272 | + | 0.123829i | ||||
\(969\) | 6.60185 | + | 10.5055i | 0.212082 | + | 0.337486i | ||||
\(970\) | −4.64062 | + | 3.89394i | −0.149001 | + | 0.125027i | ||||
\(971\) | 1.28302 | + | 2.22225i | 0.0411740 | + | 0.0713155i | 0.885878 | − | 0.463918i | \(-0.153557\pi\) |
−0.844704 | + | 0.535234i | \(0.820224\pi\) | |||||||
\(972\) | 37.0447 | − | 0.471842i | 1.18821 | − | 0.0151343i | ||||
\(973\) | 0.0346950 | + | 0.342395i | 0.00111227 | + | 0.0109767i | ||||
\(974\) | −12.6745 | + | 34.8228i | −0.406116 | + | 1.11579i | ||||
\(975\) | 10.5952 | − | 0.397017i | 0.339318 | − | 0.0127147i | ||||
\(976\) | −11.1085 | − | 30.5203i | −0.355574 | − | 0.976932i | ||||
\(977\) | −7.16223 | + | 8.53562i | −0.229140 | + | 0.273079i | −0.868348 | − | 0.495955i | \(-0.834818\pi\) |
0.639208 | + | 0.769034i | \(0.279262\pi\) | |||||||
\(978\) | −59.7279 | − | 19.2387i | −1.90989 | − | 0.615186i | ||||
\(979\) | 20.6105 | + | 24.5626i | 0.658714 | + | 0.785025i | ||||
\(980\) | −3.97699 | − | 4.48379i | −0.127040 | − | 0.143229i | ||||
\(981\) | −21.3082 | − | 31.2461i | −0.680318 | − | 0.997612i | ||||
\(982\) | −25.6447 | −0.818355 | ||||||||
\(983\) | −45.0396 | − | 16.3931i | −1.43654 | − | 0.522858i | −0.497742 | − | 0.867325i | \(-0.665837\pi\) |
−0.938798 | + | 0.344468i | \(0.888059\pi\) | |||||||
\(984\) | 1.71989 | − | 12.4680i | 0.0548282 | − | 0.397466i | ||||
\(985\) | −4.56933 | + | 5.44551i | −0.145591 | + | 0.173508i | ||||
\(986\) | −3.94093 | + | 1.43438i | −0.125505 | + | 0.0456800i | ||||
\(987\) | −12.2738 | + | 19.5904i | −0.390680 | + | 0.623570i | ||||
\(988\) | 3.96482 | + | 22.4856i | 0.126138 | + | 0.715362i | ||||
\(989\) | − | 6.78241i | − | 0.215668i | ||||||
\(990\) | −13.6206 | − | 3.83066i | −0.432892 | − | 0.121746i | ||||
\(991\) | 22.6953 | 0.720940 | 0.360470 | − | 0.932771i | \(-0.382616\pi\) | ||||
0.360470 | + | 0.932771i | \(0.382616\pi\) | |||||||
\(992\) | 44.0145 | + | 16.0200i | 1.39746 | + | 0.508635i | ||||
\(993\) | −38.8859 | + | 8.36904i | −1.23401 | + | 0.265583i | ||||
\(994\) | 24.0735 | − | 11.6304i | 0.763565 | − | 0.368892i | ||||
\(995\) | 2.57991 | − | 3.07461i | 0.0817885 | − | 0.0974718i | ||||
\(996\) | 22.5107 | − | 14.1461i | 0.713280 | − | 0.448237i | ||||
\(997\) | −12.8968 | − | 15.3698i | −0.408446 | − | 0.486767i | 0.522130 | − | 0.852866i | \(-0.325138\pi\) |
−0.930576 | + | 0.366099i | \(0.880693\pi\) | |||||||
\(998\) | −9.04381 | − | 5.22145i | −0.286277 | − | 0.165282i | ||||
\(999\) | −1.94311 | − | 17.2206i | −0.0614774 | − | 0.544835i |
(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 | 189.2.bd.a.185.4 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.17.19 | 132 | |||
7.5 | odd | 6 | 189.2.ba.a.131.19 | yes | 132 | ||
21.5 | even | 6 | 567.2.ba.a.341.4 | 132 | |||
27.7 | even | 9 | 567.2.ba.a.143.4 | 132 | |||
27.20 | odd | 18 | 189.2.ba.a.101.19 | ✓ | 132 | ||
189.47 | even | 18 | inner | 189.2.bd.a.47.4 | yes | 132 | |
189.61 | odd | 18 | 567.2.bd.a.467.19 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.19 | ✓ | 132 | 27.20 | odd | 18 | ||
189.2.ba.a.131.19 | yes | 132 | 7.5 | odd | 6 | ||
189.2.bd.a.47.4 | yes | 132 | 189.47 | even | 18 | inner | |
189.2.bd.a.185.4 | yes | 132 | 1.1 | even | 1 | trivial | |
567.2.ba.a.143.4 | 132 | 27.7 | even | 9 | |||
567.2.ba.a.341.4 | 132 | 21.5 | even | 6 | |||
567.2.bd.a.17.19 | 132 | 3.2 | odd | 2 | |||
567.2.bd.a.467.19 | 132 | 189.61 | odd | 18 |