Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,2,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.359326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 34 x^{12} + 18 x^{11} - 72 x^{10} + 132 x^{9} - 93 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.4 | ||
Root | \(-0.347596 + 1.29724i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.2 |
Dual form | 45.2.l.a.23.4 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.347596 | + | 1.29724i | 0.245787 | + | 0.917290i | 0.972986 | + | 0.230863i | \(0.0741551\pi\) |
−0.727199 | + | 0.686427i | \(0.759178\pi\) | |||||||
\(3\) | −1.18953 | + | 1.25897i | −0.686776 | + | 0.726869i | ||||
\(4\) | 0.170031 | − | 0.0981673i | 0.0850154 | − | 0.0490837i | ||||
\(5\) | −1.59371 | − | 1.56847i | −0.712727 | − | 0.701442i | ||||
\(6\) | −2.04667 | − | 1.10550i | −0.835551 | − | 0.451318i | ||||
\(7\) | 1.97869 | − | 0.530190i | 0.747876 | − | 0.200393i | 0.135300 | − | 0.990805i | \(-0.456800\pi\) |
0.612576 | + | 0.790412i | \(0.290133\pi\) | |||||||
\(8\) | 2.08575 | + | 2.08575i | 0.737423 | + | 0.737423i | ||||
\(9\) | −0.170031 | − | 2.99518i | −0.0566769 | − | 0.998393i | ||||
\(10\) | 1.48073 | − | 2.61262i | 0.468247 | − | 0.826183i | ||||
\(11\) | −0.762281 | − | 0.440103i | −0.229836 | − | 0.132696i | 0.380660 | − | 0.924715i | \(-0.375697\pi\) |
−0.610497 | + | 0.792019i | \(0.709030\pi\) | |||||||
\(12\) | −0.0786668 | + | 0.330837i | −0.0227092 | + | 0.0955045i | ||||
\(13\) | −5.36743 | − | 1.43820i | −1.48866 | − | 0.398885i | −0.579374 | − | 0.815062i | \(-0.696703\pi\) |
−0.909283 | + | 0.416177i | \(0.863370\pi\) | |||||||
\(14\) | 1.37557 | + | 2.38256i | 0.367637 | + | 0.636766i | ||||
\(15\) | 3.87043 | − | 0.140687i | 0.999340 | − | 0.0363252i | ||||
\(16\) | −1.78439 | + | 3.09066i | −0.446098 | + | 0.772664i | ||||
\(17\) | −1.13610 | + | 1.13610i | −0.275544 | + | 0.275544i | −0.831327 | − | 0.555783i | \(-0.812418\pi\) |
0.555783 | + | 0.831327i | \(0.312418\pi\) | |||||||
\(18\) | 3.82638 | − | 1.26168i | 0.901885 | − | 0.297381i | ||||
\(19\) | 1.52456i | 0.349758i | 0.984590 | + | 0.174879i | \(0.0559535\pi\) | ||||
−0.984590 | + | 0.174879i | \(0.944047\pi\) | |||||||
\(20\) | −0.424952 | − | 0.110239i | −0.0950221 | − | 0.0246501i | ||||
\(21\) | −1.68622 | + | 3.12180i | −0.367964 | + | 0.681233i | ||||
\(22\) | 0.305956 | − | 1.14184i | 0.0652300 | − | 0.243442i | ||||
\(23\) | 0.410850 | − | 1.53331i | 0.0856682 | − | 0.319718i | −0.909772 | − | 0.415109i | \(-0.863743\pi\) |
0.995440 | + | 0.0953909i | \(0.0304101\pi\) | |||||||
\(24\) | −5.10696 | + | 0.144840i | −1.04245 | + | 0.0295653i | ||||
\(25\) | 0.0797919 | + | 4.99936i | 0.0159584 | + | 0.999873i | ||||
\(26\) | − | 7.46278i | − | 1.46357i | ||||||
\(27\) | 3.97311 | + | 3.34879i | 0.764625 | + | 0.644476i | ||||
\(28\) | 0.284392 | − | 0.284392i | 0.0537450 | − | 0.0537450i | ||||
\(29\) | 0.796583 | − | 1.37972i | 0.147922 | − | 0.256208i | −0.782537 | − | 0.622603i | \(-0.786075\pi\) |
0.930459 | + | 0.366396i | \(0.119408\pi\) | |||||||
\(30\) | 1.52785 | + | 4.97199i | 0.278946 | + | 0.907757i | ||||
\(31\) | 3.49518 | + | 6.05383i | 0.627752 | + | 1.08730i | 0.988002 | + | 0.154443i | \(0.0493583\pi\) |
−0.360249 | + | 0.932856i | \(0.617308\pi\) | |||||||
\(32\) | 1.06878 | + | 0.286379i | 0.188936 | + | 0.0506251i | ||||
\(33\) | 1.46084 | − | 0.436175i | 0.254299 | − | 0.0759284i | ||||
\(34\) | −1.86870 | − | 1.07889i | −0.320479 | − | 0.185029i | ||||
\(35\) | −3.98504 | − | 2.25856i | −0.673595 | − | 0.381767i | ||||
\(36\) | −0.322939 | − | 0.492581i | −0.0538232 | − | 0.0820968i | ||||
\(37\) | −4.25746 | − | 4.25746i | −0.699922 | − | 0.699922i | 0.264472 | − | 0.964393i | \(-0.414802\pi\) |
−0.964393 | + | 0.264472i | \(0.914802\pi\) | |||||||
\(38\) | −1.97773 | + | 0.529931i | −0.320830 | + | 0.0859661i | ||||
\(39\) | 8.19538 | − | 5.04667i | 1.31231 | − | 0.808114i | ||||
\(40\) | −0.0526301 | − | 6.59550i | −0.00832155 | − | 1.04284i | ||||
\(41\) | 3.11546 | − | 1.79871i | 0.486552 | − | 0.280911i | −0.236591 | − | 0.971609i | \(-0.576030\pi\) |
0.723143 | + | 0.690698i | \(0.242697\pi\) | |||||||
\(42\) | −4.63586 | − | 1.10232i | −0.715329 | − | 0.170092i | ||||
\(43\) | 0.497959 | + | 1.85841i | 0.0759380 | + | 0.283404i | 0.993444 | − | 0.114317i | \(-0.0364679\pi\) |
−0.917506 | + | 0.397721i | \(0.869801\pi\) | |||||||
\(44\) | −0.172815 | −0.0260528 | ||||||||
\(45\) | −4.42687 | + | 5.04012i | −0.659919 | + | 0.751337i | ||||
\(46\) | 2.13189 | 0.314330 | ||||||||
\(47\) | −2.14344 | − | 7.99942i | −0.312652 | − | 1.16683i | −0.926155 | − | 0.377142i | \(-0.876907\pi\) |
0.613503 | − | 0.789693i | \(-0.289760\pi\) | |||||||
\(48\) | −1.76847 | − | 5.92294i | −0.255256 | − | 0.854902i | ||||
\(49\) | −2.42805 | + | 1.40183i | −0.346864 | + | 0.200262i | ||||
\(50\) | −6.45766 | + | 1.84127i | −0.913251 | + | 0.260394i | ||||
\(51\) | −0.0788937 | − | 2.78174i | −0.0110473 | − | 0.389522i | ||||
\(52\) | −1.05381 | + | 0.282368i | −0.146137 | + | 0.0391574i | ||||
\(53\) | 4.65601 | + | 4.65601i | 0.639552 | + | 0.639552i | 0.950445 | − | 0.310893i | \(-0.100628\pi\) |
−0.310893 | + | 0.950445i | \(0.600628\pi\) | |||||||
\(54\) | −2.96317 | + | 6.31812i | −0.403236 | + | 0.859787i | ||||
\(55\) | 0.524562 | + | 1.89701i | 0.0707319 | + | 0.255793i | ||||
\(56\) | 5.23290 | + | 3.02121i | 0.699275 | + | 0.403727i | ||||
\(57\) | −1.91938 | − | 1.81351i | −0.254229 | − | 0.240206i | ||||
\(58\) | 2.06672 | + | 0.553777i | 0.271374 | + | 0.0727145i | ||||
\(59\) | 3.81780 | + | 6.61262i | 0.497035 | + | 0.860890i | 0.999994 | − | 0.00342048i | \(-0.00108877\pi\) |
−0.502959 | + | 0.864310i | \(0.667755\pi\) | |||||||
\(60\) | 0.644281 | − | 0.403871i | 0.0831763 | − | 0.0521395i | ||||
\(61\) | 6.64002 | − | 11.5008i | 0.850167 | − | 1.47253i | −0.0308900 | − | 0.999523i | \(-0.509834\pi\) |
0.881057 | − | 0.473010i | \(-0.156833\pi\) | |||||||
\(62\) | −6.63838 | + | 6.63838i | −0.843075 | + | 0.843075i | ||||
\(63\) | −1.92445 | − | 5.83639i | −0.242458 | − | 0.735317i | ||||
\(64\) | 8.62358i | 1.07795i | ||||||||
\(65\) | 6.29833 | + | 10.7107i | 0.781211 | + | 1.32850i | ||||
\(66\) | 1.07361 | + | 1.74345i | 0.132152 | + | 0.214604i | ||||
\(67\) | −0.859733 | + | 3.20857i | −0.105033 | + | 0.391989i | −0.998349 | − | 0.0574406i | \(-0.981706\pi\) |
0.893316 | + | 0.449429i | \(0.148373\pi\) | |||||||
\(68\) | −0.0816439 | + | 0.304699i | −0.00990078 | + | 0.0369502i | ||||
\(69\) | 1.44168 | + | 2.34117i | 0.173558 | + | 0.281844i | ||||
\(70\) | 1.54472 | − | 5.95464i | 0.184630 | − | 0.711716i | ||||
\(71\) | 5.89798i | 0.699961i | 0.936757 | + | 0.349980i | \(0.113812\pi\) | ||||
−0.936757 | + | 0.349980i | \(0.886188\pi\) | |||||||
\(72\) | 5.89254 | − | 6.60182i | 0.694442 | − | 0.778032i | ||||
\(73\) | 1.58900 | − | 1.58900i | 0.185979 | − | 0.185979i | −0.607976 | − | 0.793955i | \(-0.708018\pi\) |
0.793955 | + | 0.607976i | \(0.208018\pi\) | |||||||
\(74\) | 4.04309 | − | 7.00284i | 0.470000 | − | 0.814063i | ||||
\(75\) | −6.38898 | − | 5.84644i | −0.737736 | − | 0.675089i | ||||
\(76\) | 0.149662 | + | 0.259222i | 0.0171674 | + | 0.0297348i | ||||
\(77\) | −1.74166 | − | 0.466676i | −0.198480 | − | 0.0531827i | ||||
\(78\) | 9.39544 | + | 8.87721i | 1.06382 | + | 1.00515i | ||||
\(79\) | −6.69401 | − | 3.86479i | −0.753135 | − | 0.434823i | 0.0736905 | − | 0.997281i | \(-0.476522\pi\) |
−0.826826 | + | 0.562458i | \(0.809856\pi\) | |||||||
\(80\) | 7.69140 | − | 2.12683i | 0.859925 | − | 0.237787i | ||||
\(81\) | −8.94218 | + | 1.01854i | −0.993575 | + | 0.113172i | ||||
\(82\) | 3.41628 | + | 3.41628i | 0.377265 | + | 0.377265i | ||||
\(83\) | −9.59770 | + | 2.57170i | −1.05348 | + | 0.282280i | −0.743691 | − | 0.668523i | \(-0.766927\pi\) |
−0.309794 | + | 0.950804i | \(0.600260\pi\) | |||||||
\(84\) | 0.0197489 | + | 0.696335i | 0.00215478 | + | 0.0759763i | ||||
\(85\) | 3.59254 | − | 0.0286674i | 0.389666 | − | 0.00310942i | ||||
\(86\) | −2.23772 | + | 1.29195i | −0.241299 | + | 0.139314i | ||||
\(87\) | 0.789474 | + | 2.64410i | 0.0846405 | + | 0.283477i | ||||
\(88\) | −0.671981 | − | 2.50787i | −0.0716334 | − | 0.267340i | ||||
\(89\) | −4.62765 | −0.490530 | −0.245265 | − | 0.969456i | \(-0.578875\pi\) | ||||
−0.245265 | + | 0.969456i | \(0.578875\pi\) | |||||||
\(90\) | −8.07703 | − | 3.99081i | −0.851393 | − | 0.420669i | ||||
\(91\) | −11.3830 | −1.19327 | ||||||||
\(92\) | −0.0806641 | − | 0.301043i | −0.00840982 | − | 0.0313859i | ||||
\(93\) | −11.7792 | − | 2.80088i | −1.22145 | − | 0.290437i | ||||
\(94\) | 9.63215 | − | 5.56112i | 0.993480 | − | 0.573586i | ||||
\(95\) | 2.39123 | − | 2.42970i | 0.245335 | − | 0.249282i | ||||
\(96\) | −1.63189 | + | 1.00491i | −0.166554 | + | 0.102563i | ||||
\(97\) | 3.82988 | − | 1.02621i | 0.388865 | − | 0.104196i | −0.0590888 | − | 0.998253i | \(-0.518820\pi\) |
0.447954 | + | 0.894057i | \(0.352153\pi\) | |||||||
\(98\) | −2.66250 | − | 2.66250i | −0.268953 | − | 0.268953i | ||||
\(99\) | −1.18858 | + | 2.35800i | −0.119456 | + | 0.236988i | ||||
\(100\) | 0.504341 | + | 0.842213i | 0.0504341 | + | 0.0842213i | ||||
\(101\) | −2.23195 | − | 1.28862i | −0.222087 | − | 0.128222i | 0.384829 | − | 0.922988i | \(-0.374260\pi\) |
−0.606916 | + | 0.794766i | \(0.707594\pi\) | |||||||
\(102\) | 3.58117 | − | 1.06927i | 0.354589 | − | 0.105873i | ||||
\(103\) | 12.6183 | + | 3.38106i | 1.24332 | + | 0.333146i | 0.819752 | − | 0.572719i | \(-0.194111\pi\) |
0.423566 | + | 0.905865i | \(0.360778\pi\) | |||||||
\(104\) | −8.19538 | − | 14.1948i | −0.803623 | − | 1.39192i | ||||
\(105\) | 7.58380 | − | 2.33044i | 0.740103 | − | 0.227427i | ||||
\(106\) | −4.42157 | + | 7.65839i | −0.429461 | + | 0.743848i | ||||
\(107\) | 9.23034 | − | 9.23034i | 0.892331 | − | 0.892331i | −0.102411 | − | 0.994742i | \(-0.532656\pi\) |
0.994742 | + | 0.102411i | \(0.0326557\pi\) | |||||||
\(108\) | 1.00429 | + | 0.179369i | 0.0966381 | + | 0.0172598i | ||||
\(109\) | − | 8.05480i | − | 0.771510i | −0.922601 | − | 0.385755i | \(-0.873941\pi\) | ||
0.922601 | − | 0.385755i | \(-0.126059\pi\) | |||||||
\(110\) | −2.27855 | + | 1.33988i | −0.217251 | + | 0.127752i | ||||
\(111\) | 10.4244 | − | 0.295649i | 0.989441 | − | 0.0280618i | ||||
\(112\) | −1.89213 | + | 7.06153i | −0.178790 | + | 0.667252i | ||||
\(113\) | 3.10662 | − | 11.5941i | 0.292246 | − | 1.09068i | −0.651134 | − | 0.758963i | \(-0.725706\pi\) |
0.943380 | − | 0.331714i | \(-0.107627\pi\) | |||||||
\(114\) | 1.68540 | − | 3.12028i | 0.157852 | − | 0.292241i | ||||
\(115\) | −3.05973 | + | 1.79924i | −0.285322 | + | 0.167780i | ||||
\(116\) | − | 0.312794i | − | 0.0290422i | ||||||
\(117\) | −3.39503 | + | 16.3209i | −0.313871 | + | 1.50887i | ||||
\(118\) | −7.25113 | + | 7.25113i | −0.667521 | + | 0.667521i | ||||
\(119\) | −1.64564 | + | 2.85034i | −0.150856 | + | 0.261290i | ||||
\(120\) | 8.36617 | + | 7.77929i | 0.763723 | + | 0.710149i | ||||
\(121\) | −5.11262 | − | 8.85532i | −0.464784 | − | 0.805029i | ||||
\(122\) | 17.2274 | + | 4.61608i | 1.55970 | + | 0.417920i | ||||
\(123\) | −1.44140 | + | 6.06190i | −0.129967 | + | 0.546583i | ||||
\(124\) | 1.18858 | + | 0.686224i | 0.106737 | + | 0.0616248i | ||||
\(125\) | 7.71420 | − | 8.09266i | 0.689979 | − | 0.723830i | ||||
\(126\) | 6.90230 | − | 4.52519i | 0.614906 | − | 0.403136i | ||||
\(127\) | 1.90230 | + | 1.90230i | 0.168802 | + | 0.168802i | 0.786452 | − | 0.617651i | \(-0.211915\pi\) |
−0.617651 | + | 0.786452i | \(0.711915\pi\) | |||||||
\(128\) | −9.04933 | + | 2.42476i | −0.799855 | + | 0.214321i | ||||
\(129\) | −2.93202 | − | 1.58372i | −0.258150 | − | 0.139438i | ||||
\(130\) | −11.7052 | + | 11.8935i | −1.02661 | + | 1.04313i | ||||
\(131\) | −18.5109 | + | 10.6873i | −1.61731 | + | 0.933754i | −0.629696 | + | 0.776841i | \(0.716821\pi\) |
−0.987613 | + | 0.156912i | \(0.949846\pi\) | |||||||
\(132\) | 0.205569 | − | 0.217569i | 0.0178925 | − | 0.0189370i | ||||
\(133\) | 0.808307 | + | 3.01664i | 0.0700891 | + | 0.261576i | ||||
\(134\) | −4.46113 | −0.385383 | ||||||||
\(135\) | −1.07947 | − | 11.5687i | −0.0929063 | − | 0.995675i | ||||
\(136\) | −4.73922 | −0.406385 | ||||||||
\(137\) | 1.77541 | + | 6.62594i | 0.151684 | + | 0.566092i | 0.999367 | + | 0.0355883i | \(0.0113305\pi\) |
−0.847683 | + | 0.530504i | \(0.822003\pi\) | |||||||
\(138\) | −2.53595 | + | 2.68400i | −0.215875 | + | 0.228477i | ||||
\(139\) | −1.24863 | + | 0.720896i | −0.105907 | + | 0.0611456i | −0.552018 | − | 0.833832i | \(-0.686142\pi\) |
0.446111 | + | 0.894978i | \(0.352809\pi\) | |||||||
\(140\) | −0.899297 | + | 0.00717612i | −0.0760045 | + | 0.000606493i | ||||
\(141\) | 12.6207 | + | 6.81703i | 1.06286 | + | 0.574097i | ||||
\(142\) | −7.65111 | + | 2.05011i | −0.642067 | + | 0.172041i | ||||
\(143\) | 3.45853 | + | 3.45853i | 0.289217 | + | 0.289217i | ||||
\(144\) | 9.56047 | + | 4.81906i | 0.796706 | + | 0.401589i | ||||
\(145\) | −3.43357 | + | 0.949452i | −0.285143 | + | 0.0788477i | ||||
\(146\) | 2.61366 | + | 1.50900i | 0.216308 | + | 0.124885i | ||||
\(147\) | 1.12337 | − | 4.72437i | 0.0926536 | − | 0.389659i | ||||
\(148\) | −1.14184 | − | 0.305956i | −0.0938589 | − | 0.0251494i | ||||
\(149\) | 8.28457 | + | 14.3493i | 0.678699 | + | 1.17554i | 0.975373 | + | 0.220562i | \(0.0707891\pi\) |
−0.296674 | + | 0.954979i | \(0.595878\pi\) | |||||||
\(150\) | 5.36348 | − | 10.3203i | 0.437927 | − | 0.842646i | ||||
\(151\) | 0.00283730 | − | 0.00491435i | 0.000230896 | − | 0.000399924i | −0.865910 | − | 0.500200i | \(-0.833260\pi\) |
0.866141 | + | 0.499800i | \(0.166593\pi\) | |||||||
\(152\) | −3.17985 | + | 3.17985i | −0.257920 | + | 0.257920i | ||||
\(153\) | 3.59599 | + | 3.20964i | 0.290718 | + | 0.259484i | ||||
\(154\) | − | 2.42157i | − | 0.195136i | ||||||
\(155\) | 3.92497 | − | 15.1301i | 0.315261 | − | 1.21528i | ||||
\(156\) | 0.898049 | − | 1.66261i | 0.0719014 | − | 0.133115i | ||||
\(157\) | 2.18944 | − | 8.17112i | 0.174737 | − | 0.652126i | −0.821860 | − | 0.569690i | \(-0.807063\pi\) |
0.996596 | − | 0.0824362i | \(-0.0262701\pi\) | |||||||
\(158\) | 2.68677 | − | 10.0272i | 0.213748 | − | 0.797717i | ||||
\(159\) | −11.4003 | + | 0.323326i | −0.904099 | + | 0.0256414i | ||||
\(160\) | −1.25414 | − | 2.13276i | −0.0991488 | − | 0.168609i | ||||
\(161\) | − | 3.25179i | − | 0.256277i | ||||||
\(162\) | −4.42956 | − | 11.2461i | −0.348019 | − | 0.883581i | ||||
\(163\) | 4.19302 | − | 4.19302i | 0.328422 | − | 0.328422i | −0.523564 | − | 0.851986i | \(-0.675398\pi\) |
0.851986 | + | 0.523564i | \(0.175398\pi\) | |||||||
\(164\) | 0.353149 | − | 0.611672i | 0.0275763 | − | 0.0477635i | ||||
\(165\) | −3.01227 | − | 1.59614i | −0.234505 | − | 0.124260i | ||||
\(166\) | −6.67224 | − | 11.5567i | −0.517866 | − | 0.896970i | ||||
\(167\) | −5.76334 | − | 1.54428i | −0.445980 | − | 0.119500i | 0.0288375 | − | 0.999584i | \(-0.490819\pi\) |
−0.474818 | + | 0.880084i | \(0.657486\pi\) | |||||||
\(168\) | −10.0283 | + | 2.99425i | −0.773702 | + | 0.231012i | ||||
\(169\) | 15.4826 | + | 8.93886i | 1.19097 | + | 0.687605i | ||||
\(170\) | 1.28594 | + | 4.65044i | 0.0986271 | + | 0.356672i | ||||
\(171\) | 4.56633 | − | 0.259222i | 0.349196 | − | 0.0198232i | ||||
\(172\) | 0.267103 | + | 0.267103i | 0.0203664 | + | 0.0203664i | ||||
\(173\) | 13.1994 | − | 3.53677i | 1.00353 | − | 0.268896i | 0.280608 | − | 0.959822i | \(-0.409464\pi\) |
0.722925 | + | 0.690927i | \(0.242797\pi\) | |||||||
\(174\) | −3.15562 | + | 1.94322i | −0.239227 | + | 0.147315i | ||||
\(175\) | 2.80849 | + | 9.84991i | 0.212302 | + | 0.744583i | ||||
\(176\) | 2.72042 | − | 1.57063i | 0.205059 | − | 0.118391i | ||||
\(177\) | −12.8665 | − | 3.05941i | −0.967106 | − | 0.229959i | ||||
\(178\) | −1.60855 | − | 6.00319i | −0.120566 | − | 0.449958i | ||||
\(179\) | −17.2370 | −1.28836 | −0.644178 | − | 0.764875i | \(-0.722801\pi\) | ||||
−0.644178 | + | 0.764875i | \(0.722801\pi\) | |||||||
\(180\) | −0.257930 | + | 1.29155i | −0.0192250 | + | 0.0962664i | ||||
\(181\) | 14.7708 | 1.09790 | 0.548952 | − | 0.835854i | \(-0.315027\pi\) | ||||
0.548952 | + | 0.835854i | \(0.315027\pi\) | |||||||
\(182\) | −3.95669 | − | 14.7666i | −0.293289 | − | 1.09457i | ||||
\(183\) | 6.58076 | + | 22.0402i | 0.486464 | + | 1.62926i | ||||
\(184\) | 4.05503 | − | 2.34117i | 0.298941 | − | 0.172594i | ||||
\(185\) | 0.107429 | + | 13.4628i | 0.00789837 | + | 0.989807i | ||||
\(186\) | −0.460987 | − | 16.2541i | −0.0338012 | − | 1.19181i | ||||
\(187\) | 1.36603 | − | 0.366025i | 0.0998937 | − | 0.0267664i | ||||
\(188\) | −1.14973 | − | 1.14973i | −0.0838528 | − | 0.0838528i | ||||
\(189\) | 9.63706 | + | 4.51974i | 0.700993 | + | 0.328763i | ||||
\(190\) | 3.98310 | + | 2.25746i | 0.288964 | + | 0.163773i | ||||
\(191\) | 4.56792 | + | 2.63729i | 0.330523 | + | 0.190827i | 0.656073 | − | 0.754697i | \(-0.272216\pi\) |
−0.325550 | + | 0.945525i | \(0.605550\pi\) | |||||||
\(192\) | −10.8569 | − | 10.2580i | −0.783527 | − | 0.740309i | ||||
\(193\) | −8.98952 | − | 2.40873i | −0.647080 | − | 0.173384i | −0.0796715 | − | 0.996821i | \(-0.525387\pi\) |
−0.567408 | + | 0.823437i | \(0.692054\pi\) | |||||||
\(194\) | 2.66250 | + | 4.61158i | 0.191156 | + | 0.331092i | ||||
\(195\) | −20.9766 | − | 4.81132i | −1.50216 | − | 0.344545i | ||||
\(196\) | −0.275228 | + | 0.476709i | −0.0196592 | + | 0.0340507i | ||||
\(197\) | −9.49539 | + | 9.49539i | −0.676519 | + | 0.676519i | −0.959211 | − | 0.282692i | \(-0.908773\pi\) |
0.282692 | + | 0.959211i | \(0.408773\pi\) | |||||||
\(198\) | −3.47204 | − | 0.722243i | −0.246747 | − | 0.0513276i | ||||
\(199\) | − | 17.6342i | − | 1.25005i | −0.780604 | − | 0.625026i | \(-0.785088\pi\) | ||
0.780604 | − | 0.625026i | \(-0.214912\pi\) | |||||||
\(200\) | −10.2610 | + | 10.5938i | −0.725561 | + | 0.749097i | ||||
\(201\) | −3.01682 | − | 4.89907i | −0.212790 | − | 0.345554i | ||||
\(202\) | 0.895835 | − | 3.34330i | 0.0630307 | − | 0.235234i | ||||
\(203\) | 0.844680 | − | 3.15239i | 0.0592849 | − | 0.221254i | ||||
\(204\) | −0.286490 | − | 0.465237i | −0.0200583 | − | 0.0325731i | ||||
\(205\) | −7.78634 | − | 2.01989i | −0.543822 | − | 0.141075i | ||||
\(206\) | 17.5443i | 1.22237i | ||||||||
\(207\) | −4.66240 | − | 0.969859i | −0.324060 | − | 0.0674098i | ||||
\(208\) | 14.0226 | − | 14.0226i | 0.972291 | − | 0.972291i | ||||
\(209\) | 0.670964 | − | 1.16214i | 0.0464116 | − | 0.0803872i | ||||
\(210\) | 5.65924 | + | 9.02800i | 0.390525 | + | 0.622991i | ||||
\(211\) | 0.0616050 | + | 0.106703i | 0.00424106 | + | 0.00734574i | 0.868138 | − | 0.496323i | \(-0.165317\pi\) |
−0.863897 | + | 0.503668i | \(0.831983\pi\) | |||||||
\(212\) | 1.24873 | + | 0.334597i | 0.0857633 | + | 0.0229802i | ||||
\(213\) | −7.42540 | − | 7.01583i | −0.508780 | − | 0.480716i | ||||
\(214\) | 15.1824 | + | 8.76558i | 1.03785 | + | 0.599203i | ||||
\(215\) | 2.12126 | − | 3.74279i | 0.144669 | − | 0.255256i | ||||
\(216\) | 1.30216 | + | 15.2716i | 0.0886009 | + | 1.03910i | ||||
\(217\) | 10.1256 | + | 10.1256i | 0.687368 | + | 0.687368i | ||||
\(218\) | 10.4490 | − | 2.79981i | 0.707698 | − | 0.189627i | ||||
\(219\) | 0.110345 | + | 3.89068i | 0.00745640 | + | 0.262908i | ||||
\(220\) | 0.275416 | + | 0.271055i | 0.0185685 | + | 0.0182745i | ||||
\(221\) | 7.73186 | − | 4.46399i | 0.520101 | − | 0.300281i | ||||
\(222\) | 4.00701 | + | 13.4202i | 0.268933 | + | 0.900707i | ||||
\(223\) | 0.648014 | + | 2.41842i | 0.0433942 | + | 0.161949i | 0.984223 | − | 0.176933i | \(-0.0566177\pi\) |
−0.940829 | + | 0.338883i | \(0.889951\pi\) | |||||||
\(224\) | 2.26663 | 0.151445 | ||||||||
\(225\) | 14.9604 | − | 1.08904i | 0.997361 | − | 0.0726024i | ||||
\(226\) | 16.1202 | 1.07230 | ||||||||
\(227\) | 3.94671 | + | 14.7293i | 0.261952 | + | 0.977619i | 0.964090 | + | 0.265577i | \(0.0855626\pi\) |
−0.702137 | + | 0.712042i | \(0.747771\pi\) | |||||||
\(228\) | −0.504382 | − | 0.119932i | −0.0334035 | − | 0.00794272i | ||||
\(229\) | −19.1083 | + | 11.0322i | −1.26271 | + | 0.729029i | −0.973599 | − | 0.228265i | \(-0.926695\pi\) |
−0.289116 | + | 0.957294i | \(0.593361\pi\) | |||||||
\(230\) | −3.39761 | − | 3.34381i | −0.224032 | − | 0.220485i | ||||
\(231\) | 2.65929 | − | 1.63758i | 0.174969 | − | 0.107745i | ||||
\(232\) | 4.53922 | − | 1.21628i | 0.298014 | − | 0.0798527i | ||||
\(233\) | −4.22173 | − | 4.22173i | −0.276575 | − | 0.276575i | 0.555165 | − | 0.831740i | \(-0.312655\pi\) |
−0.831740 | + | 0.555165i | \(0.812655\pi\) | |||||||
\(234\) | −22.3524 | + | 1.26890i | −1.46122 | + | 0.0829507i | ||||
\(235\) | −9.13085 | + | 16.1106i | −0.595631 | + | 1.05094i | ||||
\(236\) | 1.29829 | + | 0.749566i | 0.0845112 | + | 0.0487926i | ||||
\(237\) | 12.8284 | − | 3.83030i | 0.833294 | − | 0.248805i | ||||
\(238\) | −4.26960 | − | 1.14404i | −0.276757 | − | 0.0741569i | ||||
\(239\) | −6.79199 | − | 11.7641i | −0.439338 | − | 0.760955i | 0.558301 | − | 0.829639i | \(-0.311453\pi\) |
−0.997639 | + | 0.0686835i | \(0.978120\pi\) | |||||||
\(240\) | −6.47154 | + | 12.2132i | −0.417736 | + | 0.788359i | ||||
\(241\) | −2.56728 | + | 4.44666i | −0.165373 | + | 0.286434i | −0.936788 | − | 0.349898i | \(-0.886216\pi\) |
0.771415 | + | 0.636333i | \(0.219549\pi\) | |||||||
\(242\) | 9.71038 | − | 9.71038i | 0.624207 | − | 0.624207i | ||||
\(243\) | 9.35468 | − | 12.4696i | 0.600103 | − | 0.799923i | ||||
\(244\) | − | 2.60733i | − | 0.166917i | ||||||
\(245\) | 6.06832 | + | 1.57421i | 0.387691 | + | 0.100573i | ||||
\(246\) | −8.36479 | + | 0.237236i | −0.533319 | + | 0.0151256i | ||||
\(247\) | 2.19262 | − | 8.18298i | 0.139513 | − | 0.520670i | ||||
\(248\) | −5.33669 | + | 19.9168i | −0.338880 | + | 1.26472i | ||||
\(249\) | 8.17907 | − | 15.1424i | 0.518327 | − | 0.959609i | ||||
\(250\) | 13.1796 | + | 7.19422i | 0.833550 | + | 0.455003i | ||||
\(251\) | − | 2.60221i | − | 0.164250i | −0.996622 | − | 0.0821251i | \(-0.973829\pi\) | ||
0.996622 | − | 0.0821251i | \(-0.0261707\pi\) | |||||||
\(252\) | −0.900159 | − | 0.803448i | −0.0567047 | − | 0.0506125i | ||||
\(253\) | −0.987999 | + | 0.987999i | −0.0621150 | + | 0.0621150i | ||||
\(254\) | −1.80652 | + | 3.12898i | −0.113351 | + | 0.196329i | ||||
\(255\) | −4.23735 | + | 4.55702i | −0.265353 | + | 0.285371i | ||||
\(256\) | 2.33257 | + | 4.04013i | 0.145786 | + | 0.252508i | ||||
\(257\) | −10.1958 | − | 2.73197i | −0.635999 | − | 0.170415i | −0.0736085 | − | 0.997287i | \(-0.523452\pi\) |
−0.562390 | + | 0.826872i | \(0.690118\pi\) | |||||||
\(258\) | 1.03531 | − | 4.35404i | 0.0644555 | − | 0.271071i | ||||
\(259\) | −10.6815 | − | 6.16695i | −0.663714 | − | 0.383196i | ||||
\(260\) | 2.12235 | + | 1.20286i | 0.131623 | + | 0.0745984i | ||||
\(261\) | −4.26796 | − | 2.15131i | −0.264180 | − | 0.133163i | ||||
\(262\) | −20.2984 | − | 20.2984i | −1.25404 | − | 1.25404i | ||||
\(263\) | −8.12541 | + | 2.17720i | −0.501034 | + | 0.134252i | −0.500480 | − | 0.865748i | \(-0.666843\pi\) |
−0.000554412 | 1.00000i | \(0.500176\pi\) | ||||||||
\(264\) | 3.95668 | + | 2.13718i | 0.243517 | + | 0.131534i | ||||
\(265\) | −0.117486 | − | 14.7231i | −0.00721711 | − | 0.904434i | ||||
\(266\) | −3.63236 | + | 2.09714i | −0.222714 | + | 0.128584i | ||||
\(267\) | 5.50473 | − | 5.82609i | 0.336884 | − | 0.356551i | ||||
\(268\) | 0.168795 | + | 0.629953i | 0.0103108 | + | 0.0384805i | ||||
\(269\) | 26.7708 | 1.63225 | 0.816123 | − | 0.577878i | \(-0.196119\pi\) | ||||
0.816123 | + | 0.577878i | \(0.196119\pi\) | |||||||
\(270\) | 14.6322 | − | 5.42157i | 0.890488 | − | 0.329946i | ||||
\(271\) | −18.5850 | −1.12896 | −0.564480 | − | 0.825447i | \(-0.690923\pi\) | ||||
−0.564480 | + | 0.825447i | \(0.690923\pi\) | |||||||
\(272\) | −1.48405 | − | 5.53853i | −0.0899834 | − | 0.335823i | ||||
\(273\) | 13.5405 | − | 14.3309i | 0.819506 | − | 0.867347i | ||||
\(274\) | −7.97833 | + | 4.60629i | −0.481989 | + | 0.278276i | ||||
\(275\) | 2.13941 | − | 3.84604i | 0.129011 | − | 0.231925i | ||||
\(276\) | 0.474957 | + | 0.256546i | 0.0285891 | + | 0.0154422i | ||||
\(277\) | −26.3206 | + | 7.05259i | −1.58145 | + | 0.423749i | −0.939375 | − | 0.342891i | \(-0.888594\pi\) |
−0.642078 | + | 0.766640i | \(0.721927\pi\) | |||||||
\(278\) | −1.36920 | − | 1.36920i | −0.0821189 | − | 0.0821189i | ||||
\(279\) | 17.5380 | − | 11.4980i | 1.04997 | − | 0.688368i | ||||
\(280\) | −3.60100 | − | 13.0226i | −0.215201 | − | 0.778248i | ||||
\(281\) | −22.7050 | − | 13.1087i | −1.35447 | − | 0.782002i | −0.365595 | − | 0.930774i | \(-0.619135\pi\) |
−0.988872 | + | 0.148772i | \(0.952468\pi\) | |||||||
\(282\) | −4.45643 | + | 18.7418i | −0.265377 | + | 1.11606i | ||||
\(283\) | 3.44050 | + | 0.921880i | 0.204517 | + | 0.0548001i | 0.359623 | − | 0.933098i | \(-0.382905\pi\) |
−0.155106 | + | 0.987898i | \(0.549572\pi\) | |||||||
\(284\) | 0.578988 | + | 1.00284i | 0.0343566 | + | 0.0595074i | ||||
\(285\) | 0.214486 | + | 5.90070i | 0.0127050 | + | 0.349528i | ||||
\(286\) | −3.28439 | + | 5.68873i | −0.194210 | + | 0.336382i | ||||
\(287\) | 5.21088 | − | 5.21088i | 0.307589 | − | 0.307589i | ||||
\(288\) | 0.676030 | − | 3.24988i | 0.0398355 | − | 0.191501i | ||||
\(289\) | 14.4186i | 0.848151i | ||||||||
\(290\) | −2.42517 | − | 4.12416i | −0.142411 | − | 0.242179i | ||||
\(291\) | −3.26378 | + | 6.04243i | −0.191326 | + | 0.354213i | ||||
\(292\) | 0.114191 | − | 0.426168i | 0.00668254 | − | 0.0249396i | ||||
\(293\) | 0.771199 | − | 2.87816i | 0.0450539 | − | 0.168144i | −0.939733 | − | 0.341909i | \(-0.888927\pi\) |
0.984787 | + | 0.173765i | \(0.0555933\pi\) | |||||||
\(294\) | 6.51914 | − | 0.184891i | 0.380204 | − | 0.0107831i | ||||
\(295\) | 4.28726 | − | 16.5267i | 0.249614 | − | 0.962220i | ||||
\(296\) | − | 17.7600i | − | 1.03228i | ||||||
\(297\) | −1.55481 | − | 4.30130i | −0.0902192 | − | 0.249587i | ||||
\(298\) | −15.7349 | + | 15.7349i | −0.911496 | + | 0.911496i | ||||
\(299\) | −4.41042 | + | 7.63907i | −0.255061 | + | 0.441779i | ||||
\(300\) | −1.66025 | − | 0.366886i | −0.0958548 | − | 0.0211822i | ||||
\(301\) | 1.97062 | + | 3.41321i | 0.113584 | + | 0.196734i | ||||
\(302\) | 0.00736135 | + | 0.00197247i | 0.000423598 | + | 0.000113503i | ||||
\(303\) | 4.27731 | − | 1.27712i | 0.245725 | − | 0.0733684i | ||||
\(304\) | −4.71190 | − | 2.72042i | −0.270246 | − | 0.156027i | ||||
\(305\) | −28.6210 | + | 7.91428i | −1.63883 | + | 0.453170i | ||||
\(306\) | −2.91374 | + | 5.78053i | −0.166568 | + | 0.330451i | ||||
\(307\) | 21.8017 | + | 21.8017i | 1.24429 | + | 1.24429i | 0.958205 | + | 0.286081i | \(0.0923528\pi\) |
0.286081 | + | 0.958205i | \(0.407647\pi\) | |||||||
\(308\) | −0.341948 | + | 0.0916247i | −0.0194843 | + | 0.00522080i | ||||
\(309\) | −19.2665 | + | 11.8642i | −1.09603 | + | 0.674933i | ||||
\(310\) | 20.9917 | − | 0.167508i | 1.19225 | − | 0.00951380i | ||||
\(311\) | 29.3878 | − | 16.9671i | 1.66643 | − | 0.962114i | 0.696892 | − | 0.717176i | \(-0.254565\pi\) |
0.969539 | − | 0.244939i | \(-0.0787679\pi\) | |||||||
\(312\) | 27.6196 | + | 6.56741i | 1.56365 | + | 0.371806i | ||||
\(313\) | 6.00279 | + | 22.4027i | 0.339298 | + | 1.26628i | 0.899134 | + | 0.437673i | \(0.144197\pi\) |
−0.559836 | + | 0.828603i | \(0.689136\pi\) | |||||||
\(314\) | 11.3610 | 0.641137 | ||||||||
\(315\) | −6.08721 | + | 12.3199i | −0.342976 | + | 0.694150i | ||||
\(316\) | −1.51758 | −0.0853708 | ||||||||
\(317\) | −1.03536 | − | 3.86401i | −0.0581515 | − | 0.217024i | 0.930736 | − | 0.365693i | \(-0.119168\pi\) |
−0.988887 | + | 0.148669i | \(0.952501\pi\) | |||||||
\(318\) | −4.38211 | − | 14.6765i | −0.245737 | − | 0.823019i | ||||
\(319\) | −1.21444 | + | 0.701157i | −0.0679956 | + | 0.0392573i | ||||
\(320\) | 13.5258 | − | 13.7434i | 0.756118 | − | 0.768282i | ||||
\(321\) | 0.640980 | + | 22.6005i | 0.0357760 | + | 1.26144i | ||||
\(322\) | 4.21836 | − | 1.13031i | 0.235080 | − | 0.0629896i | ||||
\(323\) | −1.73205 | − | 1.73205i | −0.0963739 | − | 0.0963739i | ||||
\(324\) | −1.42046 | + | 1.05101i | −0.0789143 | + | 0.0583896i | ||||
\(325\) | 6.76180 | − | 26.9485i | 0.375077 | − | 1.49483i | ||||
\(326\) | 6.89684 | + | 3.98189i | 0.381981 | + | 0.220537i | ||||
\(327\) | 10.1408 | + | 9.58143i | 0.560786 | + | 0.529854i | ||||
\(328\) | 10.2497 | + | 2.74640i | 0.565945 | + | 0.151645i | ||||
\(329\) | −8.48242 | − | 14.6920i | −0.467651 | − | 0.809995i | ||||
\(330\) | 1.02354 | − | 4.46246i | 0.0563439 | − | 0.245650i | ||||
\(331\) | −2.98175 | + | 5.16454i | −0.163892 | + | 0.283869i | −0.936261 | − | 0.351305i | \(-0.885738\pi\) |
0.772369 | + | 0.635174i | \(0.219071\pi\) | |||||||
\(332\) | −1.37945 | + | 1.37945i | −0.0757071 | + | 0.0757071i | ||||
\(333\) | −12.0279 | + | 13.4757i | −0.659127 | + | 0.738466i | ||||
\(334\) | − | 8.01324i | − | 0.438465i | ||||||
\(335\) | 6.40271 | − | 3.76504i | 0.349817 | − | 0.205706i | ||||
\(336\) | −6.63954 | − | 10.7821i | −0.362216 | − | 0.588210i | ||||
\(337\) | −2.56397 | + | 9.56887i | −0.139668 | + | 0.521250i | 0.860267 | + | 0.509845i | \(0.170297\pi\) |
−0.999935 | + | 0.0114051i | \(0.996370\pi\) | |||||||
\(338\) | −6.21422 | + | 23.1918i | −0.338009 | + | 1.26147i | ||||
\(339\) | 10.9012 | + | 17.7026i | 0.592072 | + | 0.961476i | ||||
\(340\) | 0.608028 | − | 0.357545i | 0.0329750 | − | 0.0193906i | ||||
\(341\) | − | 6.15295i | − | 0.333201i | ||||||
\(342\) | 1.92351 | + | 5.83354i | 0.104012 | + | 0.315442i | ||||
\(343\) | −14.2007 | + | 14.2007i | −0.766764 | + | 0.766764i | ||||
\(344\) | −2.83755 | + | 4.91478i | −0.152990 | + | 0.264987i | ||||
\(345\) | 1.37445 | − | 5.99238i | 0.0739978 | − | 0.322619i | ||||
\(346\) | 9.17611 | + | 15.8935i | 0.493311 | + | 0.854440i | ||||
\(347\) | −10.2471 | − | 2.74569i | −0.550091 | − | 0.147396i | −0.0269407 | − | 0.999637i | \(-0.508577\pi\) |
−0.523150 | + | 0.852241i | \(0.675243\pi\) | |||||||
\(348\) | 0.393799 | + | 0.372078i | 0.0211098 | + | 0.0199455i | ||||
\(349\) | −8.08831 | − | 4.66979i | −0.432957 | − | 0.249968i | 0.267648 | − | 0.963517i | \(-0.413753\pi\) |
−0.700606 | + | 0.713549i | \(0.747087\pi\) | |||||||
\(350\) | −11.8015 | + | 7.06709i | −0.630818 | + | 0.377752i | ||||
\(351\) | −16.5091 | − | 23.6885i | −0.881193 | − | 1.26440i | ||||
\(352\) | −0.688675 | − | 0.688675i | −0.0367065 | − | 0.0367065i | ||||
\(353\) | −18.5470 | + | 4.96965i | −0.987156 | + | 0.264508i | −0.716055 | − | 0.698043i | \(-0.754054\pi\) |
−0.271100 | + | 0.962551i | \(0.587388\pi\) | |||||||
\(354\) | −0.503538 | − | 17.7544i | −0.0267627 | − | 0.943638i | ||||
\(355\) | 9.25081 | − | 9.39963i | 0.490982 | − | 0.498881i | ||||
\(356\) | −0.786842 | + | 0.454284i | −0.0417026 | + | 0.0240770i | ||||
\(357\) | −1.63096 | − | 5.46239i | −0.0863194 | − | 0.289100i | ||||
\(358\) | −5.99152 | − | 22.3606i | −0.316662 | − | 1.18180i | ||||
\(359\) | 12.5944 | 0.664705 | 0.332352 | − | 0.943155i | \(-0.392158\pi\) | ||||
0.332352 | + | 0.943155i | \(0.392158\pi\) | |||||||
\(360\) | −19.7457 | + | 1.27907i | −1.04069 | + | 0.0674131i | ||||
\(361\) | 16.6757 | 0.877669 | ||||||||
\(362\) | 5.13426 | + | 19.1613i | 0.269851 | + | 1.00710i | ||||
\(363\) | 17.2302 | + | 4.09702i | 0.904353 | + | 0.215038i | ||||
\(364\) | −1.93546 | + | 1.11744i | −0.101446 | + | 0.0585698i | ||||
\(365\) | −5.02471 | + | 0.0400957i | −0.263005 | + | 0.00209870i | ||||
\(366\) | −26.3041 | + | 16.1979i | −1.37494 | + | 0.846680i | ||||
\(367\) | 27.3263 | − | 7.32206i | 1.42642 | − | 0.382209i | 0.538665 | − | 0.842520i | \(-0.318929\pi\) |
0.887757 | + | 0.460312i | \(0.152262\pi\) | |||||||
\(368\) | 4.00583 | + | 4.00583i | 0.208818 | + | 0.208818i | ||||
\(369\) | −5.91718 | − | 9.02551i | −0.308036 | − | 0.469849i | ||||
\(370\) | −17.4272 | + | 4.81898i | −0.905999 | + | 0.250527i | ||||
\(371\) | 11.6814 | + | 6.74425i | 0.606467 | + | 0.350144i | ||||
\(372\) | −2.27779 | + | 0.680100i | −0.118098 | + | 0.0352616i | ||||
\(373\) | −2.25734 | − | 0.604851i | −0.116880 | − | 0.0313180i | 0.199905 | − | 0.979815i | \(-0.435937\pi\) |
−0.316785 | + | 0.948497i | \(0.602603\pi\) | |||||||
\(374\) | 0.949649 | + | 1.64484i | 0.0491052 | + | 0.0850526i | ||||
\(375\) | 1.01217 | + | 19.3384i | 0.0522684 | + | 0.998633i | ||||
\(376\) | 12.2141 | − | 21.1554i | 0.629894 | − | 1.09101i | ||||
\(377\) | −6.25992 | + | 6.25992i | −0.322402 | + | 0.322402i | ||||
\(378\) | −2.51341 | + | 14.0727i | −0.129276 | + | 0.723820i | ||||
\(379\) | 18.4618i | 0.948320i | 0.880439 | + | 0.474160i | \(0.157248\pi\) | ||||
−0.880439 | + | 0.474160i | \(0.842752\pi\) | |||||||
\(380\) | 0.168066 | − | 0.647865i | 0.00862159 | − | 0.0332348i | ||||
\(381\) | −4.65779 | + | 0.132101i | −0.238626 | + | 0.00676772i | ||||
\(382\) | −1.83342 | + | 6.84241i | −0.0938059 | + | 0.350088i | ||||
\(383\) | −6.26481 | + | 23.3806i | −0.320117 | + | 1.19469i | 0.599014 | + | 0.800739i | \(0.295559\pi\) |
−0.919131 | + | 0.393953i | \(0.871107\pi\) | |||||||
\(384\) | 7.71175 | − | 14.2772i | 0.393539 | − | 0.728580i | ||||
\(385\) | 2.04372 | + | 3.47549i | 0.104158 | + | 0.177127i | ||||
\(386\) | − | 12.4989i | − | 0.636176i | ||||||
\(387\) | 5.48159 | − | 1.80746i | 0.278645 | − | 0.0918784i | ||||
\(388\) | 0.550457 | − | 0.550457i | 0.0279452 | − | 0.0279452i | ||||
\(389\) | 13.5444 | − | 23.4596i | 0.686729 | − | 1.18945i | −0.286161 | − | 0.958182i | \(-0.592379\pi\) |
0.972890 | − | 0.231268i | \(-0.0742876\pi\) | |||||||
\(390\) | −1.04992 | − | 28.8841i | −0.0531645 | − | 1.46261i | ||||
\(391\) | 1.27523 | + | 2.20876i | 0.0644911 | + | 0.111702i | ||||
\(392\) | −7.98815 | − | 2.14042i | −0.403463 | − | 0.108108i | ||||
\(393\) | 8.56432 | − | 36.0177i | 0.432013 | − | 1.81685i | ||||
\(394\) | −15.6184 | − | 9.01729i | −0.786844 | − | 0.454284i | ||||
\(395\) | 4.60647 | + | 16.6587i | 0.231776 | + | 0.838190i | ||||
\(396\) | 0.0293839 | + | 0.517611i | 0.00147659 | + | 0.0260110i | ||||
\(397\) | −18.2252 | − | 18.2252i | −0.914698 | − | 0.914698i | 0.0819389 | − | 0.996637i | \(-0.473889\pi\) |
−0.996637 | + | 0.0819389i | \(0.973889\pi\) | |||||||
\(398\) | 22.8758 | − | 6.12955i | 1.14666 | − | 0.307247i | ||||
\(399\) | −4.75938 | − | 2.57075i | −0.238267 | − | 0.128699i | ||||
\(400\) | −15.5937 | − | 8.67421i | −0.779685 | − | 0.433711i | ||||
\(401\) | −11.1294 | + | 6.42558i | −0.555777 | + | 0.320878i | −0.751449 | − | 0.659791i | \(-0.770645\pi\) |
0.195672 | + | 0.980669i | \(0.437311\pi\) | |||||||
\(402\) | 5.30666 | − | 5.61645i | 0.264672 | − | 0.280123i | ||||
\(403\) | −10.0535 | − | 37.5202i | −0.500801 | − | 1.86902i | ||||
\(404\) | −0.506000 | −0.0251745 | ||||||||
\(405\) | 15.8488 | + | 12.4023i | 0.787531 | + | 0.616275i | ||||
\(406\) | 4.38302 | 0.217526 | ||||||||
\(407\) | 1.37166 | + | 5.11910i | 0.0679906 | + | 0.253744i | ||||
\(408\) | 5.63745 | − | 5.96656i | 0.279096 | − | 0.295389i | ||||
\(409\) | 22.2450 | − | 12.8431i | 1.09994 | − | 0.635053i | 0.163737 | − | 0.986504i | \(-0.447645\pi\) |
0.936206 | + | 0.351451i | \(0.114312\pi\) | |||||||
\(410\) | −0.0862038 | − | 10.8029i | −0.00425730 | − | 0.533517i | ||||
\(411\) | −10.4538 | − | 5.64656i | −0.515648 | − | 0.278524i | ||||
\(412\) | 2.47741 | − | 0.663820i | 0.122053 | − | 0.0327041i | ||||
\(413\) | 11.0602 | + | 11.0602i | 0.544237 | + | 0.544237i | ||||
\(414\) | −0.362487 | − | 6.38540i | −0.0178153 | − | 0.313825i | ||||
\(415\) | 19.3295 | + | 10.9552i | 0.948850 | + | 0.537770i | ||||
\(416\) | −5.32474 | − | 3.07424i | −0.261067 | − | 0.150727i | ||||
\(417\) | 0.577694 | − | 2.42952i | 0.0282898 | − | 0.118974i | ||||
\(418\) | 1.74081 | + | 0.466448i | 0.0851457 | + | 0.0228147i | ||||
\(419\) | 6.13243 | + | 10.6217i | 0.299589 | + | 0.518903i | 0.976042 | − | 0.217583i | \(-0.0698172\pi\) |
−0.676453 | + | 0.736486i | \(0.736484\pi\) | |||||||
\(420\) | 1.06071 | − | 1.14073i | 0.0517572 | − | 0.0556618i | ||||
\(421\) | −7.24056 | + | 12.5410i | −0.352883 | + | 0.611212i | −0.986753 | − | 0.162228i | \(-0.948132\pi\) |
0.633870 | + | 0.773439i | \(0.281465\pi\) | |||||||
\(422\) | −0.117006 | + | 0.117006i | −0.00569577 | + | 0.00569577i | ||||
\(423\) | −23.5952 | + | 7.78012i | −1.14724 | + | 0.378283i | ||||
\(424\) | 19.4225i | 0.943240i | ||||||||
\(425\) | −5.77042 | − | 5.58911i | −0.279906 | − | 0.271112i | ||||
\(426\) | 6.52020 | − | 12.0712i | 0.315905 | − | 0.584853i | ||||
\(427\) | 7.04094 | − | 26.2771i | 0.340735 | − | 1.27164i | ||||
\(428\) | 0.663324 | − | 2.47556i | 0.0320630 | − | 0.119661i | ||||
\(429\) | −8.46824 | + | 0.240170i | −0.408850 | + | 0.0115955i | ||||
\(430\) | 5.59265 | + | 1.45082i | 0.269701 | + | 0.0699646i | ||||
\(431\) | 35.9660i | 1.73242i | 0.499678 | + | 0.866211i | \(0.333452\pi\) | ||||
−0.499678 | + | 0.866211i | \(0.666548\pi\) | |||||||
\(432\) | −17.4396 | + | 6.30395i | −0.839061 | + | 0.303299i | ||||
\(433\) | −0.331545 | + | 0.331545i | −0.0159331 | + | 0.0159331i | −0.715028 | − | 0.699095i | \(-0.753586\pi\) |
0.699095 | + | 0.715028i | \(0.253586\pi\) | |||||||
\(434\) | −9.61573 | + | 16.6549i | −0.461570 | + | 0.799462i | ||||
\(435\) | 2.88901 | − | 5.45218i | 0.138517 | − | 0.261412i | ||||
\(436\) | −0.790718 | − | 1.36956i | −0.0378685 | − | 0.0655902i | ||||
\(437\) | 2.33763 | + | 0.626366i | 0.111824 | + | 0.0299632i | ||||
\(438\) | −5.00881 | + | 1.49553i | −0.239330 | + | 0.0714591i | ||||
\(439\) | −1.28953 | − | 0.744511i | −0.0615459 | − | 0.0355336i | 0.468911 | − | 0.883245i | \(-0.344646\pi\) |
−0.530457 | + | 0.847712i | \(0.677980\pi\) | |||||||
\(440\) | −2.86258 | + | 5.05078i | −0.136468 | + | 0.240787i | ||||
\(441\) | 4.61158 | + | 7.03407i | 0.219599 | + | 0.334956i | ||||
\(442\) | 8.47845 | + | 8.47845i | 0.403279 | + | 0.403279i | ||||
\(443\) | 30.9468 | − | 8.29218i | 1.47033 | − | 0.393973i | 0.567285 | − | 0.823522i | \(-0.307994\pi\) |
0.903044 | + | 0.429548i | \(0.141327\pi\) | |||||||
\(444\) | 1.74345 | − | 1.07361i | 0.0827403 | − | 0.0509511i | ||||
\(445\) | 7.37510 | + | 7.25833i | 0.349613 | + | 0.344078i | ||||
\(446\) | −2.91203 | + | 1.68126i | −0.137889 | + | 0.0796101i | ||||
\(447\) | −27.9202 | − | 6.63888i | −1.32058 | − | 0.314008i | ||||
\(448\) | 4.57213 | + | 17.0634i | 0.216013 | + | 0.806172i | ||||
\(449\) | −21.8283 | −1.03014 | −0.515071 | − | 0.857147i | \(-0.672234\pi\) | ||||
−0.515071 | + | 0.857147i | \(0.672234\pi\) | |||||||
\(450\) | 6.61292 | + | 19.0288i | 0.311736 | + | 0.897025i | ||||
\(451\) | −3.16647 | −0.149103 | ||||||||
\(452\) | −0.609937 | − | 2.27631i | −0.0286890 | − | 0.107069i | ||||
\(453\) | 0.00281198 | + | 0.00941786i | 0.000132118 | + | 0.000442490i | ||||
\(454\) | −17.7357 | + | 10.2397i | −0.832376 | + | 0.480572i | ||||
\(455\) | 18.1412 | + | 17.8540i | 0.850472 | + | 0.837006i | ||||
\(456\) | −0.220817 | − | 7.78588i | −0.0103407 | − | 0.364607i | ||||
\(457\) | 0.880339 | − | 0.235886i | 0.0411805 | − | 0.0110343i | −0.238170 | − | 0.971223i | \(-0.576548\pi\) |
0.279351 | + | 0.960189i | \(0.409881\pi\) | |||||||
\(458\) | −20.9534 | − | 20.9534i | −0.979090 | − | 0.979090i | ||||
\(459\) | −8.31839 | + | 0.709282i | −0.388269 | + | 0.0331065i | ||||
\(460\) | −0.343622 | + | 0.606293i | −0.0160215 | + | 0.0282685i | ||||
\(461\) | −18.7320 | − | 10.8149i | −0.872434 | − | 0.503700i | −0.00427761 | − | 0.999991i | \(-0.501362\pi\) |
−0.868156 | + | 0.496291i | \(0.834695\pi\) | |||||||
\(462\) | 3.04870 | + | 2.88054i | 0.141838 | + | 0.134015i | ||||
\(463\) | −18.1245 | − | 4.85644i | −0.842316 | − | 0.225698i | −0.188236 | − | 0.982124i | \(-0.560277\pi\) |
−0.654079 | + | 0.756426i | \(0.726944\pi\) | |||||||
\(464\) | 2.84283 | + | 4.92393i | 0.131975 | + | 0.228588i | ||||
\(465\) | 14.3795 | + | 22.9392i | 0.666834 | + | 1.06378i | ||||
\(466\) | 4.00916 | − | 6.94407i | 0.185721 | − | 0.321678i | ||||
\(467\) | 16.8295 | − | 16.8295i | 0.778777 | − | 0.778777i | −0.200846 | − | 0.979623i | \(-0.564369\pi\) |
0.979623 | + | 0.200846i | \(0.0643691\pi\) | |||||||
\(468\) | 1.02492 | + | 3.10834i | 0.0473771 | + | 0.143683i | ||||
\(469\) | 6.80460i | 0.314207i | ||||||||
\(470\) | −24.0733 | − | 6.24496i | −1.11042 | − | 0.288059i | ||||
\(471\) | 7.68281 | + | 12.4763i | 0.354005 | + | 0.574875i | ||||
\(472\) | −5.82929 | + | 21.7552i | −0.268315 | + | 1.00136i | ||||
\(473\) | 0.438306 | − | 1.63578i | 0.0201533 | − | 0.0752133i | ||||
\(474\) | 9.42793 | + | 15.3102i | 0.433039 | + | 0.703220i | ||||
\(475\) | −7.62184 | + | 0.121648i | −0.349714 | + | 0.00558158i | ||||
\(476\) | 0.646194i | 0.0296182i | ||||||||
\(477\) | 13.1539 | − | 14.7372i | 0.602276 | − | 0.674772i | ||||
\(478\) | 12.9000 | − | 12.9000i | 0.590033 | − | 0.590033i | ||||
\(479\) | −8.91724 | + | 15.4451i | −0.407439 | + | 0.705705i | −0.994602 | − | 0.103764i | \(-0.966911\pi\) |
0.587163 | + | 0.809469i | \(0.300245\pi\) | |||||||
\(480\) | 4.17693 | + | 0.958046i | 0.190650 | + | 0.0437286i | ||||
\(481\) | 16.7285 | + | 28.9747i | 0.762756 | + | 1.32113i | ||||
\(482\) | −6.66078 | − | 1.78475i | −0.303390 | − | 0.0812931i | ||||
\(483\) | 4.09392 | + | 3.86810i | 0.186280 | + | 0.176005i | ||||
\(484\) | −1.73861 | − | 1.00378i | −0.0790275 | − | 0.0456265i | ||||
\(485\) | −7.71328 | − | 4.37158i | −0.350242 | − | 0.198503i | ||||
\(486\) | 19.4277 | + | 7.80094i | 0.881259 | + | 0.353858i | ||||
\(487\) | −21.8232 | − | 21.8232i | −0.988904 | − | 0.988904i | 0.0110354 | − | 0.999939i | \(-0.496487\pi\) |
−0.999939 | + | 0.0110354i | \(0.996487\pi\) | |||||||
\(488\) | 37.8372 | − | 10.1385i | 1.71281 | − | 0.458946i | ||||
\(489\) | 0.291174 | + | 10.2666i | 0.0131674 | + | 0.464273i | ||||
\(490\) | 0.0671834 | + | 8.41929i | 0.00303504 | + | 0.380345i | ||||
\(491\) | 35.1670 | − | 20.3037i | 1.58707 | − | 0.916292i | 0.593278 | − | 0.804998i | \(-0.297834\pi\) |
0.993787 | − | 0.111295i | \(-0.0354997\pi\) | |||||||
\(492\) | 0.349997 | + | 1.17221i | 0.0157791 | + | 0.0528472i | ||||
\(493\) | 0.662503 | + | 2.47249i | 0.0298376 | + | 0.111356i | ||||
\(494\) | 11.3775 | 0.511896 | ||||||||
\(495\) | 5.59269 | − | 1.89371i | 0.251373 | − | 0.0851157i | ||||
\(496\) | −24.9471 | −1.12016 | ||||||||
\(497\) | 3.12705 | + | 11.6703i | 0.140267 | + | 0.523484i | ||||
\(498\) | 22.4864 | + | 5.34683i | 1.00764 | + | 0.239597i | ||||
\(499\) | 37.3397 | − | 21.5581i | 1.67156 | − | 0.965073i | 0.704788 | − | 0.709418i | \(-0.251042\pi\) |
0.966768 | − | 0.255655i | \(-0.0822910\pi\) | |||||||
\(500\) | 0.517216 | − | 2.13328i | 0.0231306 | − | 0.0954033i | ||||
\(501\) | 8.79988 | − | 5.41892i | 0.393150 | − | 0.242100i | ||||
\(502\) | 3.37571 | − | 0.904518i | 0.150665 | − | 0.0403706i | ||||
\(503\) | −28.0936 | − | 28.0936i | −1.25263 | − | 1.25263i | −0.954537 | − | 0.298093i | \(-0.903649\pi\) |
−0.298093 | − | 0.954537i | \(-0.596351\pi\) | |||||||
\(504\) | 8.15932 | − | 16.1872i | 0.363445 | − | 0.721033i | ||||
\(505\) | 1.53591 | + | 5.55443i | 0.0683471 | + | 0.247169i | ||||
\(506\) | −1.62510 | − | 0.938252i | −0.0722445 | − | 0.0417104i | ||||
\(507\) | −29.6708 | + | 8.85909i | −1.31773 | + | 0.393446i | ||||
\(508\) | 0.510193 | + | 0.136706i | 0.0226361 | + | 0.00606534i | ||||
\(509\) | 7.39188 | + | 12.8031i | 0.327639 | + | 0.567488i | 0.982043 | − | 0.188658i | \(-0.0604136\pi\) |
−0.654404 | + | 0.756145i | \(0.727080\pi\) | |||||||
\(510\) | −7.38445 | − | 3.91288i | −0.326989 | − | 0.173265i | ||||
\(511\) | 2.30168 | − | 3.98663i | 0.101820 | − | 0.176358i | ||||
\(512\) | −17.6794 | + | 17.6794i | −0.781325 | + | 0.781325i | ||||
\(513\) | −5.10544 | + | 6.05725i | −0.225411 | + | 0.267434i | ||||
\(514\) | − | 14.1761i | − | 0.625282i | ||||||
\(515\) | −14.8067 | − | 25.1799i | −0.652463 | − | 1.10956i | ||||
\(516\) | −0.654003 | + | 0.0185484i | −0.0287909 | + | 0.000816546i | ||||
\(517\) | −1.88667 | + | 7.04114i | −0.0829755 | + | 0.309669i | ||||
\(518\) | 4.28721 | − | 16.0001i | 0.188369 | − | 0.703003i | ||||
\(519\) | −11.2484 | + | 20.8248i | −0.493750 | + | 0.914108i | ||||
\(520\) | −9.20315 | + | 35.4766i | −0.403585 | + | 1.55575i | ||||
\(521\) | − | 28.4812i | − | 1.24778i | −0.781511 | − | 0.623892i | \(-0.785551\pi\) | ||
0.781511 | − | 0.623892i | \(-0.214449\pi\) | |||||||
\(522\) | 1.30725 | − | 6.28437i | 0.0572170 | − | 0.275059i | ||||
\(523\) | 15.4076 | − | 15.4076i | 0.673726 | − | 0.673726i | −0.284847 | − | 0.958573i | \(-0.591943\pi\) |
0.958573 | + | 0.284847i | \(0.0919428\pi\) | |||||||
\(524\) | −2.09829 | + | 3.63434i | −0.0916641 | + | 0.158767i | ||||
\(525\) | −15.7416 | − | 8.18095i | −0.687019 | − | 0.357046i | ||||
\(526\) | −5.64872 | − | 9.78386i | −0.246296 | − | 0.426597i | ||||
\(527\) | −10.8486 | − | 2.90687i | −0.472572 | − | 0.126625i | ||||
\(528\) | −1.25863 | + | 5.29325i | −0.0547750 | + | 0.230359i | ||||
\(529\) | 17.7363 | + | 10.2401i | 0.771145 | + | 0.445221i | ||||
\(530\) | 19.0586 | − | 5.27010i | 0.827855 | − | 0.228918i | ||||
\(531\) | 19.1568 | − | 12.5593i | 0.831335 | − | 0.545028i | ||||
\(532\) | 0.433573 | + | 0.433573i | 0.0187978 | + | 0.0187978i | ||||
\(533\) | −19.3089 | + | 5.17380i | −0.836361 | + | 0.224102i | ||||
\(534\) | 9.47128 | + | 5.11586i | 0.409862 | + | 0.221385i | ||||
\(535\) | −29.1880 | + | 0.232911i | −1.26191 | + | 0.0100696i | ||||
\(536\) | −8.48544 | + | 4.89907i | −0.366515 | + | 0.211608i | ||||
\(537\) | 20.5040 | − | 21.7010i | 0.884813 | − | 0.936466i | ||||
\(538\) | 9.30542 | + | 34.7283i | 0.401185 | + | 1.49724i | ||||
\(539\) | 2.46780 | 0.106296 | ||||||||
\(540\) | −1.31921 | − | 1.86107i | −0.0567698 | − | 0.0800875i | ||||
\(541\) | −1.11754 | −0.0480466 | −0.0240233 | − | 0.999711i | \(-0.507648\pi\) | ||||
−0.0240233 | + | 0.999711i | \(0.507648\pi\) | |||||||
\(542\) | −6.46008 | − | 24.1093i | −0.277484 | − | 1.03558i | ||||
\(543\) | −17.5703 | + | 18.5960i | −0.754015 | + | 0.798033i | ||||
\(544\) | −1.53959 | + | 0.888885i | −0.0660096 | + | 0.0381106i | ||||
\(545\) | −12.6337 | + | 12.8370i | −0.541169 | + | 0.549875i | ||||
\(546\) | 23.2973 | + | 12.5839i | 0.997033 | + | 0.538542i | ||||
\(547\) | −31.1213 | + | 8.33894i | −1.33065 | + | 0.356547i | −0.852958 | − | 0.521979i | \(-0.825194\pi\) |
−0.477694 | + | 0.878526i | \(0.658527\pi\) | |||||||
\(548\) | 0.952326 | + | 0.952326i | 0.0406813 | + | 0.0406813i | ||||
\(549\) | −35.5761 | − | 17.9325i | −1.51835 | − | 0.765342i | ||||
\(550\) | 5.73290 | + | 1.43847i | 0.244452 | + | 0.0613367i | ||||
\(551\) | 2.10347 | + | 1.21444i | 0.0896109 | + | 0.0517369i | ||||
\(552\) | −1.87611 | + | 7.89008i | −0.0798526 | + | 0.335824i | ||||
\(553\) | −15.2945 | − | 4.09814i | −0.650387 | − | 0.174271i | ||||
\(554\) | −18.2979 | − | 31.6928i | −0.777402 | − | 1.34650i | ||||
\(555\) | −17.0772 | − | 15.8792i | −0.724885 | − | 0.674035i | ||||
\(556\) | −0.141537 | + | 0.245149i | −0.00600250 | + | 0.0103966i | ||||
\(557\) | 30.4033 | − | 30.4033i | 1.28823 | − | 1.28823i | 0.352366 | − | 0.935862i | \(-0.385377\pi\) |
0.935862 | − | 0.352366i | \(-0.114623\pi\) | |||||||
\(558\) | 21.0119 | + | 18.7544i | 0.889503 | + | 0.793937i | ||||
\(559\) | − | 10.6910i | − | 0.452182i | ||||||
\(560\) | 14.0913 | − | 8.28625i | 0.595467 | − | 0.350158i | ||||
\(561\) | −1.16411 | + | 2.15519i | −0.0491489 | + | 0.0909922i | ||||
\(562\) | 9.11308 | − | 34.0105i | 0.384412 | − | 1.43465i | ||||
\(563\) | 0.300692 | − | 1.12220i | 0.0126727 | − | 0.0472950i | −0.959300 | − | 0.282389i | \(-0.908873\pi\) |
0.971973 | + | 0.235094i | \(0.0755398\pi\) | |||||||
\(564\) | 2.81512 | − | 0.0798405i | 0.118538 | − | 0.00336189i | ||||
\(565\) | −23.1360 | + | 13.6049i | −0.973338 | + | 0.572361i | ||||
\(566\) | 4.78361i | 0.201070i | ||||||||
\(567\) | −17.1538 | + | 6.75644i | −0.720393 | + | 0.283744i | ||||
\(568\) | −12.3017 | + | 12.3017i | −0.516167 | + | 0.516167i | ||||
\(569\) | −0.145367 | + | 0.251784i | −0.00609412 | + | 0.0105553i | −0.869056 | − | 0.494713i | \(-0.835273\pi\) |
0.862962 | + | 0.505268i | \(0.168606\pi\) | |||||||
\(570\) | −7.58010 | + | 2.32930i | −0.317495 | + | 0.0975636i | ||||
\(571\) | −13.0283 | − | 22.5656i | −0.545215 | − | 0.944341i | −0.998593 | − | 0.0530223i | \(-0.983115\pi\) |
0.453378 | − | 0.891318i | \(-0.350219\pi\) | |||||||
\(572\) | 0.927572 | + | 0.248542i | 0.0387837 | + | 0.0103921i | ||||
\(573\) | −8.75395 | + | 2.61375i | −0.365702 | + | 0.109191i | ||||
\(574\) | 8.57106 | + | 4.94851i | 0.357749 | + | 0.206547i | ||||
\(575\) | 7.69838 | + | 1.93164i | 0.321044 | + | 0.0805551i | ||||
\(576\) | 25.8292 | − | 1.46627i | 1.07621 | − | 0.0610948i | ||||
\(577\) | −2.52834 | − | 2.52834i | −0.105256 | − | 0.105256i | 0.652517 | − | 0.757774i | \(-0.273713\pi\) |
−0.757774 | + | 0.652517i | \(0.773713\pi\) | |||||||
\(578\) | −18.7044 | + | 5.01183i | −0.778000 | + | 0.208465i | ||||
\(579\) | 13.7258 | − | 8.45230i | 0.570427 | − | 0.351266i | ||||
\(580\) | −0.490608 | + | 0.498501i | −0.0203714 | + | 0.0206991i | ||||
\(581\) | −17.6274 | + | 10.1772i | −0.731309 | + | 0.422222i | ||||
\(582\) | −8.97298 | − | 2.13360i | −0.371942 | − | 0.0884408i | ||||
\(583\) | −1.50006 | − | 5.59831i | −0.0621262 | − | 0.231858i | ||||
\(584\) | 6.62852 | 0.274290 | ||||||||
\(585\) | 31.0096 | − | 20.6858i | 1.28209 | − | 0.855251i | ||||
\(586\) | 4.00174 | 0.165310 | ||||||||
\(587\) | 10.7212 | + | 40.0121i | 0.442511 | + | 1.65147i | 0.722425 | + | 0.691449i | \(0.243027\pi\) |
−0.279914 | + | 0.960025i | \(0.590306\pi\) | |||||||
\(588\) | −0.272772 | − | 0.913566i | −0.0112489 | − | 0.0376748i | ||||
\(589\) | −9.22943 | + | 5.32861i | −0.380292 | + | 0.219562i | ||||
\(590\) | 22.9294 | − | 0.182969i | 0.943987 | − | 0.00753273i | ||||
\(591\) | −0.659386 | − | 23.2495i | −0.0271235 | − | 0.956358i | ||||
\(592\) | 20.7553 | − | 5.56137i | 0.853038 | − | 0.228571i | ||||
\(593\) | 26.6583 | + | 26.6583i | 1.09473 | + | 1.09473i | 0.995017 | + | 0.0997087i | \(0.0317911\pi\) |
0.0997087 | + | 0.995017i | \(0.468209\pi\) | |||||||
\(594\) | 5.03939 | − | 3.51208i | 0.206769 | − | 0.144102i | ||||
\(595\) | 7.09335 | − | 1.96145i | 0.290799 | − | 0.0804117i | ||||
\(596\) | 2.81726 | + | 1.62655i | 0.115400 | + | 0.0666260i | ||||
\(597\) | 22.2009 | + | 20.9764i | 0.908624 | + | 0.858506i | ||||
\(598\) | −11.4428 | − | 3.06608i | −0.467930 | − | 0.125382i | ||||
\(599\) | −13.2427 | − | 22.9370i | −0.541080 | − | 0.937178i | −0.998842 | − | 0.0481037i | \(-0.984682\pi\) |
0.457762 | − | 0.889075i | \(-0.348651\pi\) | |||||||
\(600\) | −1.13160 | − | 25.5200i | −0.0461974 | − | 1.04185i | ||||
\(601\) | 4.26710 | − | 7.39084i | 0.174059 | − | 0.301479i | −0.765776 | − | 0.643107i | \(-0.777645\pi\) |
0.939835 | + | 0.341628i | \(0.110978\pi\) | |||||||
\(602\) | −3.74279 | + | 3.74279i | −0.152545 | + | 0.152545i | ||||
\(603\) | 9.75641 | + | 2.02950i | 0.397312 | + | 0.0826475i | ||||
\(604\) | − | 0.00111412i | − | 4.53329e-5i | ||||||
\(605\) | −5.74131 | + | 22.1318i | −0.233417 | + | 0.899784i | ||||
\(606\) | 3.14351 | + | 5.10480i | 0.127696 | + | 0.207368i | ||||
\(607\) | −11.9000 | + | 44.4113i | −0.483005 | + | 1.80260i | 0.105876 | + | 0.994379i | \(0.466235\pi\) |
−0.588881 | + | 0.808220i | \(0.700431\pi\) | |||||||
\(608\) | −0.436602 | + | 1.62942i | −0.0177066 | + | 0.0660818i | ||||
\(609\) | 2.96400 | + | 4.81329i | 0.120107 | + | 0.195045i | ||||
\(610\) | −20.2153 | − | 34.3774i | −0.818493 | − | 1.39190i | ||||
\(611\) | 46.0190i | 1.86173i | ||||||||
\(612\) | 0.926510 | + | 0.192730i | 0.0374520 | + | 0.00779064i | ||||
\(613\) | 17.3219 | − | 17.3219i | 0.699625 | − | 0.699625i | −0.264705 | − | 0.964330i | \(-0.585274\pi\) |
0.964330 | + | 0.264705i | \(0.0852744\pi\) | |||||||
\(614\) | −20.7039 | + | 35.8602i | −0.835542 | + | 1.44720i | ||||
\(615\) | 11.8051 | − | 7.40008i | 0.476027 | − | 0.298400i | ||||
\(616\) | −2.65929 | − | 4.60603i | −0.107146 | − | 0.185582i | ||||
\(617\) | 36.3708 | + | 9.74553i | 1.46423 | + | 0.392340i | 0.900950 | − | 0.433923i | \(-0.142871\pi\) |
0.563284 | + | 0.826263i | \(0.309538\pi\) | |||||||
\(618\) | −22.0878 | − | 20.8694i | −0.888500 | − | 0.839492i | ||||
\(619\) | 8.57434 | + | 4.95040i | 0.344632 | + | 0.198973i | 0.662318 | − | 0.749223i | \(-0.269573\pi\) |
−0.317687 | + | 0.948196i | \(0.602906\pi\) | |||||||
\(620\) | −0.817915 | − | 2.95789i | −0.0328483 | − | 0.118792i | ||||
\(621\) | 6.76710 | − | 4.71617i | 0.271554 | − | 0.189253i | ||||
\(622\) | 32.2255 | + | 32.2255i | 1.29213 | + | 1.29213i | ||||
\(623\) | −9.15670 | + | 2.45353i | −0.366855 | + | 0.0982986i | ||||
\(624\) | 0.973765 | + | 34.3344i | 0.0389818 | + | 1.37447i | ||||
\(625\) | −24.9873 | + | 0.797817i | −0.999491 | + | 0.0319127i | ||||
\(626\) | −26.9753 | + | 15.5742i | −1.07815 | + | 0.622469i | ||||
\(627\) | 0.664976 | + | 2.22713i | 0.0265566 | + | 0.0889431i | ||||
\(628\) | −0.429864 | − | 1.60427i | −0.0171534 | − | 0.0640175i | ||||
\(629\) | 9.67378 | 0.385719 | ||||||||
\(630\) | −18.0979 | − | 3.61425i | −0.721036 | − | 0.143995i | ||||
\(631\) | −22.0279 | −0.876918 | −0.438459 | − | 0.898751i | \(-0.644476\pi\) | ||||
−0.438459 | + | 0.898751i | \(0.644476\pi\) | |||||||
\(632\) | −5.90104 | − | 22.0230i | −0.234731 | − | 0.876027i | ||||
\(633\) | −0.207617 | − | 0.0493675i | −0.00825205 | − | 0.00196218i | ||||
\(634\) | 4.65268 | − | 2.68622i | 0.184781 | − | 0.106684i | ||||
\(635\) | −0.0480011 | − | 6.01540i | −0.00190487 | − | 0.238714i | ||||
\(636\) | −1.90665 | + | 1.17411i | −0.0756038 | + | 0.0465564i | ||||
\(637\) | 15.0485 | − | 4.03223i | 0.596242 | − | 0.159763i | ||||
\(638\) | −1.33171 | − | 1.33171i | −0.0527227 | − | 0.0527227i | ||||
\(639\) | 17.6655 | − | 1.00284i | 0.698836 | − | 0.0396716i | ||||
\(640\) | 18.2251 | + | 10.3293i | 0.720412 | + | 0.408300i | ||||
\(641\) | 21.8054 | + | 12.5894i | 0.861263 | + | 0.497251i | 0.864435 | − | 0.502744i | \(-0.167676\pi\) |
−0.00317173 | + | 0.999995i | \(0.501010\pi\) | |||||||
\(642\) | −29.0956 | + | 8.68736i | −1.14831 | + | 0.342863i | ||||
\(643\) | 30.0492 | + | 8.05166i | 1.18502 | + | 0.317526i | 0.796918 | − | 0.604088i | \(-0.206462\pi\) |
0.388107 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(644\) | −0.319219 | − | 0.552904i | −0.0125790 | − | 0.0217875i | ||||
\(645\) | 2.18877 | + | 7.12277i | 0.0861826 | + | 0.280459i | ||||
\(646\) | 1.64484 | − | 2.84895i | 0.0647154 | − | 0.112090i | ||||
\(647\) | −7.86580 | + | 7.86580i | −0.309237 | + | 0.309237i | −0.844613 | − | 0.535377i | \(-0.820170\pi\) |
0.535377 | + | 0.844613i | \(0.320170\pi\) | |||||||
\(648\) | −20.7755 | − | 16.5267i | −0.816140 | − | 0.649230i | ||||
\(649\) | − | 6.72090i | − | 0.263818i | ||||||
\(650\) | 37.3091 | − | 0.595469i | 1.46339 | − | 0.0233562i | ||||
\(651\) | −24.7925 | + | 0.703147i | −0.971695 | + | 0.0275585i | ||||
\(652\) | 0.301325 | − | 1.12456i | 0.0118008 | − | 0.0440411i | ||||
\(653\) | 0.0749391 | − | 0.279676i | 0.00293259 | − | 0.0109446i | −0.964444 | − | 0.264287i | \(-0.914863\pi\) |
0.967377 | + | 0.253343i | \(0.0815300\pi\) | |||||||
\(654\) | −8.90457 | + | 16.4855i | −0.348196 | + | 0.644635i | ||||
\(655\) | 46.2637 | + | 12.0015i | 1.80767 | + | 0.468937i | ||||
\(656\) | 12.8384i | 0.501256i | ||||||||
\(657\) | −5.02953 | − | 4.48917i | −0.196221 | − | 0.175139i | ||||
\(658\) | 16.1106 | − | 16.1106i | 0.628058 | − | 0.628058i | ||||
\(659\) | 13.4009 | − | 23.2111i | 0.522026 | − | 0.904175i | −0.477646 | − | 0.878552i | \(-0.658510\pi\) |
0.999672 | − | 0.0256228i | \(-0.00815688\pi\) | |||||||
\(660\) | −0.668868 | + | 0.0243128i | −0.0260356 | + | 0.000946374i | ||||
\(661\) | −12.6438 | − | 21.8997i | −0.491787 | − | 0.851800i | 0.508168 | − | 0.861258i | \(-0.330323\pi\) |
−0.999955 | + | 0.00945786i | \(0.996989\pi\) | |||||||
\(662\) | −7.73611 | − | 2.07289i | −0.300673 | − | 0.0805650i | ||||
\(663\) | −3.57724 | + | 15.0443i | −0.138928 | + | 0.584271i | ||||
\(664\) | −25.3823 | − | 14.6545i | −0.985024 | − | 0.568704i | ||||
\(665\) | 3.44332 | − | 6.07544i | 0.133526 | − | 0.235596i | ||||
\(666\) | −21.6622 | − | 10.9191i | −0.839393 | − | 0.423106i | ||||
\(667\) | −1.78827 | − | 1.78827i | −0.0692421 | − | 0.0692421i | ||||
\(668\) | −1.13154 | + | 0.303196i | −0.0437807 | + | 0.0117310i | ||||
\(669\) | −3.81556 | − | 2.06095i | −0.147518 | − | 0.0796811i | ||||
\(670\) | 7.10973 | + | 6.99716i | 0.274673 | + | 0.270324i | ||||
\(671\) | −10.1231 | + | 5.84458i | −0.390799 | + | 0.225628i | ||||
\(672\) | −2.69622 | + | 2.85362i | −0.104009 | + | 0.110081i | ||||
\(673\) | 6.30290 | + | 23.5227i | 0.242959 | + | 0.906735i | 0.974398 | + | 0.224829i | \(0.0721822\pi\) |
−0.731439 | + | 0.681906i | \(0.761151\pi\) | |||||||
\(674\) | −13.3044 | −0.512466 | ||||||||
\(675\) | −16.4248 | + | 20.1302i | −0.632191 | + | 0.774812i | ||||
\(676\) | 3.51002 | 0.135001 | ||||||||
\(677\) | −0.240265 | − | 0.896681i | −0.00923414 | − | 0.0344623i | 0.961155 | − | 0.276009i | \(-0.0890120\pi\) |
−0.970389 | + | 0.241547i | \(0.922345\pi\) | |||||||
\(678\) | −19.1754 | + | 20.2949i | −0.736429 | + | 0.779420i | ||||
\(679\) | 7.03407 | − | 4.06112i | 0.269943 | − | 0.155852i | ||||
\(680\) | 7.55292 | + | 7.43334i | 0.289641 | + | 0.285056i | ||||
\(681\) | −23.2386 | − | 12.5522i | −0.890503 | − | 0.481000i | ||||
\(682\) | 7.98188 | − | 2.13874i | 0.305642 | − | 0.0818966i | ||||
\(683\) | −22.2024 | − | 22.2024i | −0.849550 | − | 0.849550i | 0.140526 | − | 0.990077i | \(-0.455120\pi\) |
−0.990077 | + | 0.140526i | \(0.955120\pi\) | |||||||
\(684\) | 0.750970 | − | 0.492340i | 0.0287141 | − | 0.0188251i | ||||
\(685\) | 7.56311 | − | 13.3445i | 0.288972 | − | 0.509866i | ||||
\(686\) | −23.3578 | − | 13.4856i | −0.891805 | − | 0.514884i | ||||
\(687\) | 8.84071 | − | 37.1801i | 0.337294 | − | 1.41851i | ||||
\(688\) | −6.63225 | − | 1.77711i | −0.252852 | − | 0.0677515i | ||||
\(689\) | −18.2945 | − | 31.6871i | −0.696966 | − | 1.20718i | ||||
\(690\) | 8.25133 | − | 0.299929i | 0.314123 | − | 0.0114181i | ||||
\(691\) | −4.05877 | + | 7.02999i | −0.154403 | + | 0.267433i | −0.932841 | − | 0.360287i | \(-0.882679\pi\) |
0.778439 | + | 0.627721i | \(0.216012\pi\) | |||||||
\(692\) | 1.89711 | − | 1.89711i | 0.0721173 | − | 0.0721173i | ||||
\(693\) | −1.10164 | + | 5.29593i | −0.0418479 | + | 0.201176i | ||||
\(694\) | − | 14.2473i | − | 0.540821i | ||||||
\(695\) | 3.12065 | + | 0.809543i | 0.118373 | + | 0.0307077i | ||||
\(696\) | −3.86828 | + | 7.16156i | −0.146627 | + | 0.271458i | ||||
\(697\) | −1.49595 | + | 5.58297i | −0.0566633 | + | 0.211470i | ||||
\(698\) | 3.24640 | − | 12.1157i | 0.122878 | − | 0.458586i | ||||
\(699\) | 10.3369 | − | 0.293168i | 0.390979 | − | 0.0110887i | ||||
\(700\) | 1.44447 | + | 1.39909i | 0.0545958 | + | 0.0528805i | ||||
\(701\) | 19.6359i | 0.741637i | 0.928705 | + | 0.370819i | \(0.120923\pi\) | ||||
−0.928705 | + | 0.370819i | \(0.879077\pi\) | |||||||
\(702\) | 24.9913 | − | 29.6504i | 0.943236 | − | 1.11908i | ||||
\(703\) | 6.49076 | − | 6.49076i | 0.244804 | − | 0.244804i | ||||
\(704\) | 3.79526 | − | 6.57359i | 0.143039 | − | 0.247752i | ||||
\(705\) | −9.42143 | − | 30.6596i | −0.354832 | − | 1.15471i | ||||
\(706\) | −12.8937 | − | 22.3325i | −0.485260 | − | 0.840496i | ||||
\(707\) | −5.09956 | − | 1.36642i | −0.191789 | − | 0.0513896i | ||||
\(708\) | −2.48804 | + | 0.742876i | −0.0935061 | + | 0.0279190i | ||||
\(709\) | −2.68383 | − | 1.54951i | −0.100793 | − | 0.0581931i | 0.448756 | − | 0.893654i | \(-0.351867\pi\) |
−0.549549 | + | 0.835461i | \(0.685201\pi\) | |||||||
\(710\) | 15.4092 | + | 8.73329i | 0.578295 | + | 0.327754i | ||||
\(711\) | −10.4375 | + | 20.7069i | −0.391438 | + | 0.776569i | ||||
\(712\) | −9.65210 | − | 9.65210i | −0.361728 | − | 0.361728i | ||||
\(713\) | 10.7184 | − | 2.87199i | 0.401408 | − | 0.107557i | ||||
\(714\) | 6.51914 | − | 4.01445i | 0.243973 | − | 0.150237i | ||||
\(715\) | −0.0872699 | − | 10.9365i | −0.00326371 | − | 0.409002i | ||||
\(716\) | −2.93083 | + | 1.69211i | −0.109530 | + | 0.0632373i | ||||
\(717\) | 22.8900 | + | 5.44280i | 0.854841 | + | 0.203265i | ||||
\(718\) | 4.37774 | + | 16.3380i | 0.163376 | + | 0.609727i | ||||
\(719\) | −20.3126 | −0.757533 | −0.378767 | − | 0.925492i | \(-0.623652\pi\) | ||||
−0.378767 | + | 0.925492i | \(0.623652\pi\) | |||||||
\(720\) | −7.67800 | − | 22.6755i | −0.286142 | − | 0.845066i | ||||
\(721\) | 26.7604 | 0.996608 | ||||||||
\(722\) | 5.79640 | + | 21.6325i | 0.215720 | + | 0.805077i | ||||
\(723\) | −2.54437 | − | 8.52158i | −0.0946261 | − | 0.316921i | ||||
\(724\) | 2.51149 | − | 1.45001i | 0.0933388 | − | 0.0538892i | ||||
\(725\) | 6.96129 | + | 3.87232i | 0.258536 | + | 0.143814i | ||||
\(726\) | 0.674315 | + | 23.7759i | 0.0250262 | + | 0.882407i | ||||
\(727\) | −17.0647 | + | 4.57247i | −0.632895 | + | 0.169584i | −0.560983 | − | 0.827827i | \(-0.689577\pi\) |
−0.0719119 | + | 0.997411i | \(0.522910\pi\) | |||||||
\(728\) | −23.7421 | − | 23.7421i | −0.879941 | − | 0.879941i | ||||
\(729\) | 4.57117 | + | 26.6102i | 0.169303 | + | 0.985564i | ||||
\(730\) | −1.79858 | − | 6.50434i | −0.0665685 | − | 0.240736i | ||||
\(731\) | −2.67706 | − | 1.54560i | −0.0990147 | − | 0.0571662i | ||||
\(732\) | 3.28256 | + | 3.10150i | 0.121327 | + | 0.114635i | ||||
\(733\) | 25.4785 | + | 6.82693i | 0.941068 | + | 0.252158i | 0.696568 | − | 0.717491i | \(-0.254709\pi\) |
0.244500 | + | 0.969649i | \(0.421376\pi\) | |||||||
\(734\) | 18.9970 | + | 32.9038i | 0.701192 | + | 1.21450i | ||||
\(735\) | −9.20035 | + | 5.76729i | −0.339360 | + | 0.212730i | ||||
\(736\) | 0.878218 | − | 1.52112i | 0.0323715 | − | 0.0560692i | ||||
\(737\) | 2.06746 | − | 2.06746i | 0.0761558 | − | 0.0761558i | ||||
\(738\) | 9.65150 | − | 10.8133i | 0.355277 | − | 0.398041i | ||||
\(739\) | 6.41459i | 0.235965i | 0.993016 | + | 0.117982i | \(0.0376426\pi\) | ||||
−0.993016 | + | 0.117982i | \(0.962357\pi\) | |||||||
\(740\) | 1.33988 | + | 2.27855i | 0.0492549 | + | 0.0837612i | ||||
\(741\) | 7.69396 | + | 12.4944i | 0.282645 | + | 0.458992i | ||||
\(742\) | −4.68854 | + | 17.4979i | −0.172122 | + | 0.642368i | ||||
\(743\) | −4.95625 | + | 18.4970i | −0.181827 | + | 0.678588i | 0.813460 | + | 0.581620i | \(0.197581\pi\) |
−0.995288 | + | 0.0969677i | \(0.969086\pi\) | |||||||
\(744\) | −18.7266 | − | 30.4104i | −0.686549 | − | 1.11490i | ||||
\(745\) | 9.30331 | − | 35.8627i | 0.340847 | − | 1.31391i | ||||
\(746\) | − | 3.13856i | − | 0.114911i | ||||||
\(747\) | 9.33459 | + | 28.3096i | 0.341535 | + | 1.03579i | ||||
\(748\) | 0.196335 | − | 0.196335i | 0.00717870 | − | 0.00717870i | ||||
\(749\) | 13.3702 | − | 23.1579i | 0.488536 | − | 0.846170i | ||||
\(750\) | −24.7349 | + | 8.03499i | −0.903189 | + | 0.293397i | ||||
\(751\) | −1.96958 | − | 3.41141i | −0.0718709 | − | 0.124484i | 0.827850 | − | 0.560949i | \(-0.189564\pi\) |
−0.899721 | + | 0.436465i | \(0.856230\pi\) | |||||||
\(752\) | 28.5482 | + | 7.64946i | 1.04105 | + | 0.278947i | ||||
\(753\) | 3.27612 | + | 3.09541i | 0.119388 | + | 0.112803i | ||||
\(754\) | −10.2966 | − | 5.94472i | −0.374979 | − | 0.216494i | ||||
\(755\) | −0.0122298 | + | 0.00338180i | −0.000445090 | + | 0.000123076i | ||||
\(756\) | 2.08229 | − | 0.177550i | 0.0757321 | − | 0.00645743i | ||||
\(757\) | 17.3710 | + | 17.3710i | 0.631361 | + | 0.631361i | 0.948409 | − | 0.317049i | \(-0.102692\pi\) |
−0.317049 | + | 0.948409i | \(0.602692\pi\) | |||||||
\(758\) | −23.9495 | + | 6.41725i | −0.869885 | + | 0.233085i | ||||
\(759\) | −0.0686093 | − | 2.41912i | −0.00249036 | − | 0.0878085i | ||||
\(760\) | 10.0552 | − | 0.0802378i | 0.364742 | − | 0.00291053i | ||||
\(761\) | 7.11860 | − | 4.10993i | 0.258049 | − | 0.148985i | −0.365395 | − | 0.930853i | \(-0.619066\pi\) |
0.623444 | + | 0.781868i | \(0.285733\pi\) | |||||||
\(762\) | −1.79039 | − | 5.99637i | −0.0648591 | − | 0.217226i | ||||
\(763\) | −4.27057 | − | 15.9380i | −0.154605 | − | 0.576994i | ||||
\(764\) |