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 | 23.4 | ||
Root | \(-0.347596 - 1.29724i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.23 |
Dual form | 45.2.l.a.2.4 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 | −0.727199 | − | 0.686427i | \(-0.759178\pi\) |
0.972986 | − | 0.230863i | \(-0.0741551\pi\) | |||||||
\(3\) | −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 | 0.612576 | − | 0.790412i | \(-0.290133\pi\) |
0.135300 | + | 0.990805i | \(0.456800\pi\) | |||||||
\(8\) | 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 | −0.610497 | − | 0.792019i | \(-0.709030\pi\) |
0.380660 | + | 0.924715i | \(0.375697\pi\) | |||||||
\(12\) | −0.0786668 | − | 0.330837i | −0.0227092 | − | 0.0955045i | ||||
\(13\) | −5.36743 | + | 1.43820i | −1.48866 | + | 0.398885i | −0.909283 | − | 0.416177i | \(-0.863370\pi\) |
−0.579374 | + | 0.815062i | \(0.696703\pi\) | |||||||
\(14\) | 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 | 0.555783 | − | 0.831327i | \(-0.312418\pi\) |
−0.831327 | + | 0.555783i | \(0.812418\pi\) | |||||||
\(18\) | 3.82638 | + | 1.26168i | 0.901885 | + | 0.297381i | ||||
\(19\) | − | 1.52456i | − | 0.349758i | −0.984590 | − | 0.174879i | \(-0.944047\pi\) | ||
0.984590 | − | 0.174879i | \(-0.0559535\pi\) | |||||||
\(20\) | −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 | 0.995440 | − | 0.0953909i | \(-0.0304101\pi\) |
−0.909772 | + | 0.415109i | \(0.863743\pi\) | |||||||
\(24\) | −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 | 0.930459 | − | 0.366396i | \(-0.119408\pi\) |
−0.782537 | + | 0.622603i | \(0.786075\pi\) | |||||||
\(30\) | 1.52785 | − | 4.97199i | 0.278946 | − | 0.907757i | ||||
\(31\) | 3.49518 | − | 6.05383i | 0.627752 | − | 1.08730i | −0.360249 | − | 0.932856i | \(-0.617308\pi\) |
0.988002 | − | 0.154443i | \(-0.0493583\pi\) | |||||||
\(32\) | 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 | −0.964393 | − | 0.264472i | \(-0.914802\pi\) |
0.264472 | + | 0.964393i | \(0.414802\pi\) | |||||||
\(38\) | −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 | 0.723143 | − | 0.690698i | \(-0.242697\pi\) |
−0.236591 | + | 0.971609i | \(0.576030\pi\) | |||||||
\(42\) | −4.63586 | + | 1.10232i | −0.715329 | + | 0.170092i | ||||
\(43\) | 0.497959 | − | 1.85841i | 0.0759380 | − | 0.283404i | −0.917506 | − | 0.397721i | \(-0.869801\pi\) |
0.993444 | + | 0.114317i | \(0.0364679\pi\) | |||||||
\(44\) | −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 | 0.613503 | + | 0.789693i | \(0.289760\pi\) |
−0.926155 | + | 0.377142i | \(0.876907\pi\) | |||||||
\(48\) | −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 | −0.310893 | − | 0.950445i | \(-0.600628\pi\) |
0.950445 | + | 0.310893i | \(0.100628\pi\) | |||||||
\(54\) | −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 | −0.502959 | − | 0.864310i | \(-0.667755\pi\) |
0.999994 | + | 0.00342048i | \(0.00108877\pi\) | |||||||
\(60\) | 0.644281 | + | 0.403871i | 0.0831763 | + | 0.0521395i | ||||
\(61\) | 6.64002 | + | 11.5008i | 0.850167 | + | 1.47253i | 0.881057 | + | 0.473010i | \(0.156833\pi\) |
−0.0308900 | + | 0.999523i | \(0.509834\pi\) | |||||||
\(62\) | −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 | 0.893316 | − | 0.449429i | \(-0.148373\pi\) |
−0.998349 | + | 0.0574406i | \(0.981706\pi\) | |||||||
\(68\) | −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 | \(-0.886188\pi\) | ||
0.936757 | − | 0.349980i | \(-0.113812\pi\) | |||||||
\(72\) | 5.89254 | + | 6.60182i | 0.694442 | + | 0.778032i | ||||
\(73\) | 1.58900 | + | 1.58900i | 0.185979 | + | 0.185979i | 0.793955 | − | 0.607976i | \(-0.208018\pi\) |
−0.607976 | + | 0.793955i | \(0.708018\pi\) | |||||||
\(74\) | 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 | −0.826826 | − | 0.562458i | \(-0.809856\pi\) |
0.0736905 | + | 0.997281i | \(0.476522\pi\) | |||||||
\(80\) | 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 | −0.309794 | − | 0.950804i | \(-0.600260\pi\) |
−0.743691 | + | 0.668523i | \(0.766927\pi\) | |||||||
\(84\) | 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 | 0.447954 | − | 0.894057i | \(-0.352153\pi\) |
−0.0590888 | + | 0.998253i | \(0.518820\pi\) | |||||||
\(98\) | −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 | −0.606916 | − | 0.794766i | \(-0.707594\pi\) |
0.384829 | + | 0.922988i | \(0.374260\pi\) | |||||||
\(102\) | 3.58117 | + | 1.06927i | 0.354589 | + | 0.105873i | ||||
\(103\) | 12.6183 | − | 3.38106i | 1.24332 | − | 0.333146i | 0.423566 | − | 0.905865i | \(-0.360778\pi\) |
0.819752 | + | 0.572719i | \(0.194111\pi\) | |||||||
\(104\) | −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 | 0.994742 | − | 0.102411i | \(-0.0326557\pi\) |
−0.102411 | + | 0.994742i | \(0.532656\pi\) | |||||||
\(108\) | 1.00429 | − | 0.179369i | 0.0966381 | − | 0.0172598i | ||||
\(109\) | 8.05480i | 0.771510i | 0.922601 | + | 0.385755i | \(0.126059\pi\) | ||||
−0.922601 | + | 0.385755i | \(0.873941\pi\) | |||||||
\(110\) | −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 | 0.943380 | + | 0.331714i | \(0.107627\pi\) |
−0.651134 | + | 0.758963i | \(0.725706\pi\) | |||||||
\(114\) | 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 | −0.617651 | − | 0.786452i | \(-0.711915\pi\) |
0.786452 | + | 0.617651i | \(0.211915\pi\) | |||||||
\(128\) | −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 | −0.987613 | − | 0.156912i | \(-0.949846\pi\) |
−0.629696 | − | 0.776841i | \(-0.716821\pi\) | |||||||
\(132\) | 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 | −0.847683 | − | 0.530504i | \(-0.822003\pi\) |
0.999367 | − | 0.0355883i | \(-0.0113305\pi\) | |||||||
\(138\) | −2.53595 | − | 2.68400i | −0.215875 | − | 0.228477i | ||||
\(139\) | −1.24863 | − | 0.720896i | −0.105907 | − | 0.0611456i | 0.446111 | − | 0.894978i | \(-0.352809\pi\) |
−0.552018 | + | 0.833832i | \(0.686142\pi\) | |||||||
\(140\) | −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 | −0.296674 | − | 0.954979i | \(-0.595878\pi\) |
0.975373 | − | 0.220562i | \(-0.0707891\pi\) | |||||||
\(150\) | 5.36348 | + | 10.3203i | 0.437927 | + | 0.842646i | ||||
\(151\) | 0.00283730 | + | 0.00491435i | 0.000230896 | + | 0.000399924i | 0.866141 | − | 0.499800i | \(-0.166593\pi\) |
−0.865910 | + | 0.500200i | \(0.833260\pi\) | |||||||
\(152\) | −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 | 0.996596 | + | 0.0824362i | \(0.0262701\pi\) |
−0.821860 | + | 0.569690i | \(0.807063\pi\) | |||||||
\(158\) | 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 | 0.851986 | − | 0.523564i | \(-0.175398\pi\) |
−0.523564 | + | 0.851986i | \(0.675398\pi\) | |||||||
\(164\) | 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 | −0.474818 | − | 0.880084i | \(-0.657486\pi\) |
0.0288375 | + | 0.999584i | \(0.490819\pi\) | |||||||
\(168\) | −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 | 0.722925 | − | 0.690927i | \(-0.242797\pi\) |
0.280608 | + | 0.959822i | \(0.409464\pi\) | |||||||
\(174\) | −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 | −0.325550 | − | 0.945525i | \(-0.605550\pi\) |
0.656073 | + | 0.754697i | \(0.272216\pi\) | |||||||
\(192\) | −10.8569 | + | 10.2580i | −0.783527 | + | 0.740309i | ||||
\(193\) | −8.98952 | + | 2.40873i | −0.647080 | + | 0.173384i | −0.567408 | − | 0.823437i | \(-0.692054\pi\) |
−0.0796715 | + | 0.996821i | \(0.525387\pi\) | |||||||
\(194\) | 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 | 0.282692 | − | 0.959211i | \(-0.408773\pi\) |
−0.959211 | + | 0.282692i | \(0.908773\pi\) | |||||||
\(198\) | −3.47204 | + | 0.722243i | −0.246747 | + | 0.0513276i | ||||
\(199\) | 17.6342i | 1.25005i | 0.780604 | + | 0.625026i | \(0.214912\pi\) | ||||
−0.780604 | + | 0.625026i | \(0.785088\pi\) | |||||||
\(200\) | −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 | −0.863897 | − | 0.503668i | \(-0.831983\pi\) |
0.868138 | + | 0.496323i | \(0.165317\pi\) | |||||||
\(212\) | 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 | −0.940829 | − | 0.338883i | \(-0.889951\pi\) |
0.984223 | + | 0.176933i | \(0.0566177\pi\) | |||||||
\(224\) | 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 | −0.702137 | − | 0.712042i | \(-0.747771\pi\) |
0.964090 | − | 0.265577i | \(-0.0855626\pi\) | |||||||
\(228\) | −0.504382 | + | 0.119932i | −0.0334035 | + | 0.00794272i | ||||
\(229\) | −19.1083 | − | 11.0322i | −1.26271 | − | 0.729029i | −0.289116 | − | 0.957294i | \(-0.593361\pi\) |
−0.973599 | + | 0.228265i | \(0.926695\pi\) | |||||||
\(230\) | −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 | −0.831740 | − | 0.555165i | \(-0.812655\pi\) |
0.555165 | + | 0.831740i | \(0.312655\pi\) | |||||||
\(234\) | −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 | −0.997639 | − | 0.0686835i | \(-0.978120\pi\) |
0.558301 | + | 0.829639i | \(0.311453\pi\) | |||||||
\(240\) | −6.47154 | − | 12.2132i | −0.417736 | − | 0.788359i | ||||
\(241\) | −2.56728 | − | 4.44666i | −0.165373 | − | 0.286434i | 0.771415 | − | 0.636333i | \(-0.219549\pi\) |
−0.936788 | + | 0.349898i | \(0.886216\pi\) | |||||||
\(242\) | 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 | \(0.0261707\pi\) | ||||
−0.996622 | + | 0.0821251i | \(0.973829\pi\) | |||||||
\(252\) | −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 | −0.562390 | − | 0.826872i | \(-0.690118\pi\) |
−0.0736085 | + | 0.997287i | \(0.523452\pi\) | |||||||
\(258\) | 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 | −0.000554412 | − | 1.00000i | \(-0.500176\pi\) |
−0.500480 | + | 0.865748i | \(0.666843\pi\) | |||||||
\(264\) | 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 | −0.642078 | − | 0.766640i | \(-0.721927\pi\) |
−0.939375 | + | 0.342891i | \(0.888594\pi\) | |||||||
\(278\) | −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 | −0.988872 | − | 0.148772i | \(-0.952468\pi\) |
−0.365595 | + | 0.930774i | \(0.619135\pi\) | |||||||
\(282\) | −4.45643 | − | 18.7418i | −0.265377 | − | 1.11606i | ||||
\(283\) | 3.44050 | − | 0.921880i | 0.204517 | − | 0.0548001i | −0.155106 | − | 0.987898i | \(-0.549572\pi\) |
0.359623 | + | 0.933098i | \(0.382905\pi\) | |||||||
\(284\) | 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 | 0.984787 | − | 0.173765i | \(-0.0555933\pi\) |
−0.939733 | + | 0.341909i | \(0.888927\pi\) | |||||||
\(294\) | 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 | 0.286081 | − | 0.958205i | \(-0.407647\pi\) |
0.958205 | − | 0.286081i | \(-0.0923528\pi\) | |||||||
\(308\) | −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 | 0.969539 | + | 0.244939i | \(0.0787679\pi\) |
0.696892 | + | 0.717176i | \(0.254565\pi\) | |||||||
\(312\) | 27.6196 | − | 6.56741i | 1.56365 | − | 0.371806i | ||||
\(313\) | 6.00279 | − | 22.4027i | 0.339298 | − | 1.26628i | −0.559836 | − | 0.828603i | \(-0.689136\pi\) |
0.899134 | − | 0.437673i | \(-0.144197\pi\) | |||||||
\(314\) | 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 | −0.988887 | − | 0.148669i | \(-0.952501\pi\) |
0.930736 | + | 0.365693i | \(0.119168\pi\) | |||||||
\(318\) | −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 | 0.772369 | − | 0.635174i | \(-0.219071\pi\) |
−0.936261 | + | 0.351305i | \(0.885738\pi\) | |||||||
\(332\) | −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 | −0.999935 | − | 0.0114051i | \(-0.996370\pi\) |
0.860267 | − | 0.509845i | \(-0.170297\pi\) | |||||||
\(338\) | −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 | −0.523150 | − | 0.852241i | \(-0.675243\pi\) |
−0.0269407 | + | 0.999637i | \(0.508577\pi\) | |||||||
\(348\) | 0.393799 | − | 0.372078i | 0.0211098 | − | 0.0199455i | ||||
\(349\) | −8.08831 | + | 4.66979i | −0.432957 | + | 0.249968i | −0.700606 | − | 0.713549i | \(-0.747087\pi\) |
0.267648 | + | 0.963517i | \(0.413753\pi\) | |||||||
\(350\) | −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 | −0.271100 | − | 0.962551i | \(-0.587388\pi\) |
−0.716055 | + | 0.698043i | \(0.754054\pi\) | |||||||
\(354\) | −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 | 0.887757 | − | 0.460312i | \(-0.152262\pi\) |
0.538665 | + | 0.842520i | \(0.318929\pi\) | |||||||
\(368\) | 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 | −0.316785 | − | 0.948497i | \(-0.602603\pi\) |
0.199905 | + | 0.979815i | \(0.435937\pi\) | |||||||
\(374\) | 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 | \(-0.842752\pi\) | ||
0.880439 | − | 0.474160i | \(-0.157248\pi\) | |||||||
\(380\) | 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 | −0.919131 | − | 0.393953i | \(-0.871107\pi\) |
0.599014 | − | 0.800739i | \(-0.295559\pi\) | |||||||
\(384\) | 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 | 0.972890 | + | 0.231268i | \(0.0742876\pi\) |
−0.286161 | + | 0.958182i | \(0.592379\pi\) | |||||||
\(390\) | −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 | −0.996637 | − | 0.0819389i | \(-0.973889\pi\) |
0.0819389 | + | 0.996637i | \(0.473889\pi\) | |||||||
\(398\) | 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 | 0.195672 | − | 0.980669i | \(-0.437311\pi\) |
−0.751449 | + | 0.659791i | \(0.770645\pi\) | |||||||
\(402\) | 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 | 0.936206 | − | 0.351451i | \(-0.114312\pi\) |
0.163737 | + | 0.986504i | \(0.447645\pi\) | |||||||
\(410\) | −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 | −0.676453 | − | 0.736486i | \(-0.736484\pi\) |
0.976042 | + | 0.217583i | \(0.0698172\pi\) | |||||||
\(420\) | 1.06071 | + | 1.14073i | 0.0517572 | + | 0.0556618i | ||||
\(421\) | −7.24056 | − | 12.5410i | −0.352883 | − | 0.611212i | 0.633870 | − | 0.773439i | \(-0.281465\pi\) |
−0.986753 | + | 0.162228i | \(0.948132\pi\) | |||||||
\(422\) | −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 | \(-0.666548\pi\) | ||
0.499678 | − | 0.866211i | \(-0.333452\pi\) | |||||||
\(432\) | −17.4396 | − | 6.30395i | −0.839061 | − | 0.303299i | ||||
\(433\) | −0.331545 | − | 0.331545i | −0.0159331 | − | 0.0159331i | 0.699095 | − | 0.715028i | \(-0.253586\pi\) |
−0.715028 | + | 0.699095i | \(0.753586\pi\) | |||||||
\(434\) | −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 | −0.530457 | − | 0.847712i | \(-0.677980\pi\) |
0.468911 | + | 0.883245i | \(0.344646\pi\) | |||||||
\(440\) | −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 | 0.903044 | − | 0.429548i | \(-0.141327\pi\) |
0.567285 | + | 0.823522i | \(0.307994\pi\) | |||||||
\(444\) | 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 | 0.279351 | − | 0.960189i | \(-0.409881\pi\) |
−0.238170 | + | 0.971223i | \(0.576548\pi\) | |||||||
\(458\) | −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 | −0.868156 | − | 0.496291i | \(-0.834695\pi\) |
−0.00427761 | + | 0.999991i | \(0.501362\pi\) | |||||||
\(462\) | 3.04870 | − | 2.88054i | 0.141838 | − | 0.134015i | ||||
\(463\) | −18.1245 | + | 4.85644i | −0.842316 | + | 0.225698i | −0.654079 | − | 0.756426i | \(-0.726944\pi\) |
−0.188236 | + | 0.982124i | \(0.560277\pi\) | |||||||
\(464\) | 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 | 0.979623 | − | 0.200846i | \(-0.0643691\pi\) |
−0.200846 | + | 0.979623i | \(0.564369\pi\) | |||||||
\(468\) | 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 | 0.587163 | − | 0.809469i | \(-0.300245\pi\) |
−0.994602 | + | 0.103764i | \(0.966911\pi\) | |||||||
\(480\) | 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 | −0.999939 | − | 0.0110354i | \(-0.996487\pi\) |
0.0110354 | + | 0.999939i | \(0.496487\pi\) | |||||||
\(488\) | 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 | 0.993787 | + | 0.111295i | \(0.0354997\pi\) |
0.593278 | + | 0.804998i | \(0.297834\pi\) | |||||||
\(492\) | 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 | 0.966768 | + | 0.255655i | \(0.0822910\pi\) |
0.704788 | + | 0.709418i | \(0.251042\pi\) | |||||||
\(500\) | 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 | −0.298093 | + | 0.954537i | \(0.596351\pi\) |
−0.954537 | + | 0.298093i | \(0.903649\pi\) | |||||||
\(504\) | 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 | −0.654404 | − | 0.756145i | \(-0.727080\pi\) |
0.982043 | + | 0.188658i | \(0.0604136\pi\) | |||||||
\(510\) | −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 | \(0.214449\pi\) | ||||
−0.781511 | + | 0.623892i | \(0.785551\pi\) | |||||||
\(522\) | 1.30725 | + | 6.28437i | 0.0572170 | + | 0.275059i | ||||
\(523\) | 15.4076 | + | 15.4076i | 0.673726 | + | 0.673726i | 0.958573 | − | 0.284847i | \(-0.0919428\pi\) |
−0.284847 | + | 0.958573i | \(0.591943\pi\) | |||||||
\(524\) | −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 | −0.477694 | − | 0.878526i | \(-0.658527\pi\) |
−0.852958 | + | 0.521979i | \(0.825194\pi\) | |||||||
\(548\) | 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 | 0.935862 | + | 0.352366i | \(0.114623\pi\) |
0.352366 | + | 0.935862i | \(0.385377\pi\) | |||||||
\(558\) | 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 | 0.971973 | − | 0.235094i | \(-0.0755398\pi\) |
−0.959300 | + | 0.282389i | \(0.908873\pi\) | |||||||
\(564\) | 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 | 0.862962 | − | 0.505268i | \(-0.168606\pi\) |
−0.869056 | + | 0.494713i | \(0.835273\pi\) | |||||||
\(570\) | −7.58010 | − | 2.32930i | −0.317495 | − | 0.0975636i | ||||
\(571\) | −13.0283 | + | 22.5656i | −0.545215 | + | 0.944341i | 0.453378 | + | 0.891318i | \(0.350219\pi\) |
−0.998593 | + | 0.0530223i | \(0.983115\pi\) | |||||||
\(572\) | 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 | −0.757774 | − | 0.652517i | \(-0.773713\pi\) |
0.652517 | + | 0.757774i | \(0.273713\pi\) | |||||||
\(578\) | −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 | −0.279914 | − | 0.960025i | \(-0.590306\pi\) |
0.722425 | − | 0.691449i | \(-0.243027\pi\) | |||||||
\(588\) | −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 | 0.0997087 | − | 0.995017i | \(-0.468209\pi\) |
0.995017 | − | 0.0997087i | \(-0.0317911\pi\) | |||||||
\(594\) | 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 | 0.457762 | + | 0.889075i | \(0.348651\pi\) |
−0.998842 | + | 0.0481037i | \(0.984682\pi\) | |||||||
\(600\) | −1.13160 | + | 25.5200i | −0.0461974 | + | 1.04185i | ||||
\(601\) | 4.26710 | + | 7.39084i | 0.174059 | + | 0.301479i | 0.939835 | − | 0.341628i | \(-0.110978\pi\) |
−0.765776 | + | 0.643107i | \(0.777645\pi\) | |||||||
\(602\) | −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 | −0.588881 | − | 0.808220i | \(-0.700431\pi\) |
0.105876 | − | 0.994379i | \(-0.466235\pi\) | |||||||
\(608\) | −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 | 0.964330 | − | 0.264705i | \(-0.0852744\pi\) |
−0.264705 | + | 0.964330i | \(0.585274\pi\) | |||||||
\(614\) | −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 | 0.563284 | − | 0.826263i | \(-0.309538\pi\) |
0.900950 | + | 0.433923i | \(0.142871\pi\) | |||||||
\(618\) | −22.0878 | + | 20.8694i | −0.888500 | + | 0.839492i | ||||
\(619\) | 8.57434 | − | 4.95040i | 0.344632 | − | 0.198973i | −0.317687 | − | 0.948196i | \(-0.602906\pi\) |
0.662318 | + | 0.749223i | \(0.269573\pi\) | |||||||
\(620\) | −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 | −0.00317173 | − | 0.999995i | \(-0.501010\pi\) |
0.864435 | + | 0.502744i | \(0.167676\pi\) | |||||||
\(642\) | −29.0956 | − | 8.68736i | −1.14831 | − | 0.342863i | ||||
\(643\) | 30.0492 | − | 8.05166i | 1.18502 | − | 0.317526i | 0.388107 | − | 0.921614i | \(-0.373129\pi\) |
0.796918 | + | 0.604088i | \(0.206462\pi\) | |||||||
\(644\) | −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 | 0.535377 | − | 0.844613i | \(-0.320170\pi\) |
−0.844613 | + | 0.535377i | \(0.820170\pi\) | |||||||
\(648\) | −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 | 0.967377 | − | 0.253343i | \(-0.0815300\pi\) |
−0.964444 | + | 0.264287i | \(0.914863\pi\) | |||||||
\(654\) | −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 | 0.999672 | + | 0.0256228i | \(0.00815688\pi\) |
−0.477646 | + | 0.878552i | \(0.658510\pi\) | |||||||
\(660\) | −0.668868 | − | 0.0243128i | −0.0260356 | − | 0.000946374i | ||||
\(661\) | −12.6438 | + | 21.8997i | −0.491787 | + | 0.851800i | −0.999955 | − | 0.00945786i | \(-0.996989\pi\) |
0.508168 | + | 0.861258i | \(0.330323\pi\) | |||||||
\(662\) | −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 | −0.731439 | − | 0.681906i | \(-0.761151\pi\) |
0.974398 | − | 0.224829i | \(-0.0721822\pi\) | |||||||
\(674\) | −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 | −0.970389 | − | 0.241547i | \(-0.922345\pi\) |
0.961155 | + | 0.276009i | \(0.0890120\pi\) | |||||||
\(678\) | −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 | −0.990077 | − | 0.140526i | \(-0.955120\pi\) |
0.140526 | + | 0.990077i | \(0.455120\pi\) | |||||||
\(684\) | 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 | 0.778439 | − | 0.627721i | \(-0.216012\pi\) |
−0.932841 | + | 0.360287i | \(0.882679\pi\) | |||||||
\(692\) | 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 | \(-0.879077\pi\) | ||
0.928705 | − | 0.370819i | \(-0.120923\pi\) | |||||||
\(702\) | 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 | −0.549549 | − | 0.835461i | \(-0.685201\pi\) |
0.448756 | + | 0.893654i | \(0.351867\pi\) | |||||||
\(710\) | 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 | −0.0719119 | − | 0.997411i | \(-0.522910\pi\) |
−0.560983 | + | 0.827827i | \(0.689577\pi\) | |||||||
\(728\) | −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 | 0.244500 | − | 0.969649i | \(-0.421376\pi\) |
0.696568 | + | 0.717491i | \(0.254709\pi\) | |||||||
\(734\) | 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 | \(-0.962357\pi\) | ||
0.993016 | − | 0.117982i | \(-0.0376426\pi\) | |||||||
\(740\) | 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 | −0.995288 | − | 0.0969677i | \(-0.969086\pi\) |
0.813460 | − | 0.581620i | \(-0.197581\pi\) | |||||||
\(744\) | −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 | −0.899721 | − | 0.436465i | \(-0.856230\pi\) |
0.827850 | + | 0.560949i | \(0.189564\pi\) | |||||||
\(752\) | 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 | −0.317049 | − | 0.948409i | \(-0.602692\pi\) |
0.948409 | + | 0.317049i | \(0.102692\pi\) | |||||||
\(758\) | −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 | 0.623444 | − | 0.781868i | \(-0.285733\pi\) |
−0.365395 | + | 0.930853i | \(0.619066\pi\) | |||||||
\(762\) | −1.79039 | + | 5.99637i | −0.0648591 | + | 0.217226i | ||||
\(763\) | −4.27057 | + | 15.9380i | −0.154605 | + | 0.576994i |