Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 223.7 | ||
Character | \(\chi\) | \(=\) | 230.223 |
Dual form | 230.3.k.a.197.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.100889 | + | 1.41061i | 0.0504444 | + | 0.705305i | ||||
\(3\) | 0.933200 | + | 0.203005i | 0.311067 | + | 0.0676684i | 0.365389 | − | 0.930855i | \(-0.380936\pi\) |
−0.0543220 | + | 0.998523i | \(0.517300\pi\) | |||||||
\(4\) | −1.97964 | + | 0.284630i | −0.494911 | + | 0.0711574i | ||||
\(5\) | 4.71702 | − | 1.65823i | 0.943404 | − | 0.331647i | ||||
\(6\) | −0.192212 | + | 1.33686i | −0.0320353 | + | 0.222810i | ||||
\(7\) | −4.37890 | + | 8.01935i | −0.625557 | + | 1.14562i | 0.352209 | + | 0.935921i | \(0.385431\pi\) |
−0.977766 | + | 0.209700i | \(0.932751\pi\) | |||||||
\(8\) | −0.601225 | − | 2.76379i | −0.0751532 | − | 0.345474i | ||||
\(9\) | −7.35704 | − | 3.35985i | −0.817449 | − | 0.373316i | ||||
\(10\) | 2.81502 | + | 6.48658i | 0.281502 | + | 0.648658i | ||||
\(11\) | 8.28620 | + | 9.56278i | 0.753291 | + | 0.869344i | 0.994883 | − | 0.101034i | \(-0.0322151\pi\) |
−0.241592 | + | 0.970378i | \(0.577670\pi\) | |||||||
\(12\) | −1.90518 | − | 0.136261i | −0.158765 | − | 0.0113551i | ||||
\(13\) | 11.1282 | + | 20.3798i | 0.856017 | + | 1.56768i | 0.822871 | + | 0.568228i | \(0.192371\pi\) |
0.0331457 | + | 0.999451i | \(0.489447\pi\) | |||||||
\(14\) | −11.7540 | − | 5.36786i | −0.839569 | − | 0.383418i | ||||
\(15\) | 4.73855 | − | 0.589885i | 0.315903 | − | 0.0393256i | ||||
\(16\) | 3.83797 | − | 1.12693i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −2.41763 | − | 3.22957i | −0.142213 | − | 0.189975i | 0.723779 | − | 0.690032i | \(-0.242403\pi\) |
−0.865993 | + | 0.500057i | \(0.833312\pi\) | |||||||
\(18\) | 3.99719 | − | 10.7169i | 0.222066 | − | 0.595382i | ||||
\(19\) | 15.6832 | − | 2.25491i | 0.825434 | − | 0.118679i | 0.283363 | − | 0.959013i | \(-0.408550\pi\) |
0.542070 | + | 0.840333i | \(0.317641\pi\) | |||||||
\(20\) | −8.86603 | + | 4.62531i | −0.443301 | + | 0.231266i | ||||
\(21\) | −5.71436 | + | 6.59472i | −0.272112 | + | 0.314034i | ||||
\(22\) | −12.6534 | + | 12.6534i | −0.575153 | + | 0.575153i | ||||
\(23\) | −3.33335 | + | 22.7572i | −0.144928 | + | 0.989442i | ||||
\(24\) | − | 2.70122i | − | 0.112551i | ||||||
\(25\) | 19.5005 | − | 15.6438i | 0.780021 | − | 0.625754i | ||||
\(26\) | −27.6253 | + | 17.7537i | −1.06251 | + | 0.682834i | ||||
\(27\) | −13.0644 | − | 9.77985i | −0.483865 | − | 0.362217i | ||||
\(28\) | 6.38611 | − | 17.1218i | 0.228075 | − | 0.611494i | ||||
\(29\) | −40.4473 | − | 5.81545i | −1.39473 | − | 0.200533i | −0.596371 | − | 0.802709i | \(-0.703391\pi\) |
−0.798363 | + | 0.602176i | \(0.794301\pi\) | |||||||
\(30\) | 1.31016 | + | 6.62474i | 0.0436721 | + | 0.220825i | ||||
\(31\) | 26.7149 | + | 17.1687i | 0.861772 | + | 0.553827i | 0.895226 | − | 0.445613i | \(-0.147014\pi\) |
−0.0334534 | + | 0.999440i | \(0.510651\pi\) | |||||||
\(32\) | 1.97687 | + | 5.30019i | 0.0617771 | + | 0.165631i | ||||
\(33\) | 5.79138 | + | 10.6061i | 0.175497 | + | 0.321398i | ||||
\(34\) | 4.31175 | − | 3.73616i | 0.126816 | − | 0.109887i | ||||
\(35\) | −7.35738 | + | 45.0887i | −0.210211 | + | 1.28825i | ||||
\(36\) | 15.5206 | + | 4.55726i | 0.431128 | + | 0.126591i | ||||
\(37\) | −0.858210 | − | 2.30095i | −0.0231949 | − | 0.0621878i | 0.924836 | − | 0.380366i | \(-0.124202\pi\) |
−0.948031 | + | 0.318178i | \(0.896929\pi\) | |||||||
\(38\) | 4.76306 | + | 21.8954i | 0.125344 | + | 0.576196i | ||||
\(39\) | 6.24765 | + | 21.2775i | 0.160196 | + | 0.545578i | ||||
\(40\) | −7.41900 | − | 12.0399i | −0.185475 | − | 0.300997i | ||||
\(41\) | −24.2612 | − | 53.1245i | −0.591735 | − | 1.29572i | −0.934388 | − | 0.356258i | \(-0.884053\pi\) |
0.342652 | − | 0.939462i | \(-0.388675\pi\) | |||||||
\(42\) | −9.87910 | − | 7.39540i | −0.235217 | − | 0.176081i | ||||
\(43\) | −41.4138 | − | 9.00902i | −0.963112 | − | 0.209512i | −0.296596 | − | 0.955003i | \(-0.595851\pi\) |
−0.666516 | + | 0.745491i | \(0.732215\pi\) | |||||||
\(44\) | −19.1256 | − | 16.5724i | −0.434672 | − | 0.376645i | ||||
\(45\) | −40.2747 | − | 3.64877i | −0.894993 | − | 0.0810837i | ||||
\(46\) | −32.4378 | − | 2.40612i | −0.705169 | − | 0.0523069i | ||||
\(47\) | 51.8327 | − | 51.8327i | 1.10282 | − | 1.10282i | 0.108754 | − | 0.994069i | \(-0.465314\pi\) |
0.994069 | − | 0.108754i | \(-0.0346860\pi\) | |||||||
\(48\) | 3.81037 | − | 0.272523i | 0.0793827 | − | 0.00567756i | ||||
\(49\) | −18.6439 | − | 29.0104i | −0.380487 | − | 0.592050i | ||||
\(50\) | 24.0347 | + | 25.9293i | 0.480695 | + | 0.518587i | ||||
\(51\) | −1.60051 | − | 3.50463i | −0.0313825 | − | 0.0687181i | ||||
\(52\) | −27.8306 | − | 37.1773i | −0.535204 | − | 0.714949i | ||||
\(53\) | 45.4900 | + | 24.8394i | 0.858302 | + | 0.468668i | 0.847203 | − | 0.531270i | \(-0.178285\pi\) |
0.0110995 | + | 0.999938i | \(0.496467\pi\) | |||||||
\(54\) | 12.4775 | − | 19.4154i | 0.231065 | − | 0.359544i | ||||
\(55\) | 54.9435 | + | 31.3674i | 0.998972 | + | 0.570316i | ||||
\(56\) | 24.7965 | + | 7.28091i | 0.442795 | + | 0.130016i | ||||
\(57\) | 15.0934 | + | 1.07950i | 0.264796 | + | 0.0189386i | ||||
\(58\) | 4.12264 | − | 57.6421i | 0.0710801 | − | 0.993829i | ||||
\(59\) | 22.5966 | − | 76.9568i | 0.382993 | − | 1.30435i | −0.512274 | − | 0.858822i | \(-0.671197\pi\) |
0.895267 | − | 0.445531i | \(-0.146985\pi\) | |||||||
\(60\) | −9.21274 | + | 2.51649i | −0.153546 | + | 0.0419416i | ||||
\(61\) | −5.72658 | − | 3.68025i | −0.0938783 | − | 0.0603319i | 0.492859 | − | 0.870109i | \(-0.335952\pi\) |
−0.586738 | + | 0.809777i | \(0.699588\pi\) | |||||||
\(62\) | −21.5230 | + | 39.4165i | −0.347146 | + | 0.635750i | ||||
\(63\) | 59.1595 | − | 44.2863i | 0.939040 | − | 0.702956i | ||||
\(64\) | −7.27706 | + | 3.32332i | −0.113704 | + | 0.0519269i | ||||
\(65\) | 86.2865 | + | 77.6788i | 1.32749 | + | 1.19506i | ||||
\(66\) | −14.3768 | + | 9.23943i | −0.217831 | + | 0.139991i | ||||
\(67\) | 2.33182 | + | 32.6031i | 0.0348033 | + | 0.486613i | 0.984724 | + | 0.174122i | \(0.0557089\pi\) |
−0.949921 | + | 0.312491i | \(0.898837\pi\) | |||||||
\(68\) | 5.70527 | + | 5.70527i | 0.0839010 | + | 0.0839010i | ||||
\(69\) | −7.73051 | + | 20.5603i | −0.112036 | + | 0.297975i | ||||
\(70\) | −64.3448 | − | 5.82945i | −0.919212 | − | 0.0832778i | ||||
\(71\) | 21.0754 | − | 24.3223i | 0.296837 | − | 0.342568i | −0.587665 | − | 0.809104i | \(-0.699953\pi\) |
0.884502 | + | 0.466536i | \(0.154498\pi\) | |||||||
\(72\) | −4.86267 | + | 22.3533i | −0.0675370 | + | 0.310463i | ||||
\(73\) | 47.1554 | − | 62.9922i | 0.645964 | − | 0.862907i | −0.351343 | − | 0.936247i | \(-0.614275\pi\) |
0.997307 | + | 0.0733398i | \(0.0233658\pi\) | |||||||
\(74\) | 3.15916 | − | 1.44274i | 0.0426914 | − | 0.0194965i | ||||
\(75\) | 21.3737 | − | 10.6401i | 0.284982 | − | 0.141868i | ||||
\(76\) | −30.4054 | + | 8.92783i | −0.400071 | + | 0.117471i | ||||
\(77\) | −112.972 | + | 24.5755i | −1.46717 | + | 0.319162i | ||||
\(78\) | −29.3840 | + | 10.9597i | −0.376718 | + | 0.140508i | ||||
\(79\) | −11.9867 | + | 40.8228i | −0.151730 | + | 0.516744i | −0.999916 | − | 0.0129537i | \(-0.995877\pi\) |
0.848186 | + | 0.529698i | \(0.177695\pi\) | |||||||
\(80\) | 16.2351 | − | 11.6800i | 0.202938 | − | 0.146000i | ||||
\(81\) | 37.4619 | + | 43.2333i | 0.462493 | + | 0.533745i | ||||
\(82\) | 72.4903 | − | 39.5827i | 0.884028 | − | 0.482716i | ||||
\(83\) | 79.2112 | − | 29.5443i | 0.954352 | − | 0.355955i | 0.176428 | − | 0.984314i | \(-0.443546\pi\) |
0.777924 | + | 0.628359i | \(0.216273\pi\) | |||||||
\(84\) | 9.43534 | − | 14.6817i | 0.112325 | − | 0.174782i | ||||
\(85\) | −16.7594 | − | 11.2250i | −0.197169 | − | 0.132058i | ||||
\(86\) | 8.53003 | − | 59.3277i | 0.0991864 | − | 0.689856i | ||||
\(87\) | −36.5649 | − | 13.6380i | −0.420286 | − | 0.156758i | ||||
\(88\) | 21.4476 | − | 28.6507i | 0.243723 | − | 0.325576i | ||||
\(89\) | −48.1721 | − | 74.9572i | −0.541259 | − | 0.842216i | 0.457639 | − | 0.889138i | \(-0.348695\pi\) |
−0.998899 | + | 0.0469222i | \(0.985059\pi\) | |||||||
\(90\) | 1.08372 | − | 57.1800i | 0.0120413 | − | 0.635333i | ||||
\(91\) | −212.162 | −2.33145 | ||||||||
\(92\) | 0.121485 | − | 45.9998i | 0.00132049 | − | 0.499998i | ||||
\(93\) | 21.4451 | + | 21.4451i | 0.230592 | + | 0.230592i | ||||
\(94\) | 78.3450 | + | 67.8863i | 0.833458 | + | 0.722195i | ||||
\(95\) | 70.2390 | − | 36.6429i | 0.739358 | − | 0.385715i | ||||
\(96\) | 0.768847 | + | 5.34745i | 0.00800883 | + | 0.0557026i | ||||
\(97\) | 60.4973 | + | 22.5643i | 0.623683 | + | 0.232622i | 0.641382 | − | 0.767222i | \(-0.278361\pi\) |
−0.0176989 | + | 0.999843i | \(0.505634\pi\) | |||||||
\(98\) | 39.0415 | − | 29.2261i | 0.398382 | − | 0.298225i | ||||
\(99\) | −28.8324 | − | 98.1941i | −0.291236 | − | 0.991859i | ||||
\(100\) | −34.1514 | + | 36.5196i | −0.341514 | + | 0.365196i | ||||
\(101\) | −39.9663 | + | 87.5140i | −0.395706 | + | 0.866475i | 0.601982 | + | 0.798510i | \(0.294378\pi\) |
−0.997688 | + | 0.0679654i | \(0.978349\pi\) | |||||||
\(102\) | 4.78219 | − | 2.61127i | 0.0468842 | − | 0.0256007i | ||||
\(103\) | 7.97365 | − | 111.486i | 0.0774141 | − | 1.08239i | −0.799159 | − | 0.601120i | \(-0.794721\pi\) |
0.876573 | − | 0.481270i | \(-0.159824\pi\) | |||||||
\(104\) | 49.6349 | − | 43.0089i | 0.477259 | − | 0.413547i | ||||
\(105\) | −16.0191 | + | 40.5832i | −0.152563 | + | 0.386506i | ||||
\(106\) | −30.4493 | + | 66.6747i | −0.287258 | + | 0.629007i | ||||
\(107\) | 130.761 | − | 28.4454i | 1.22207 | − | 0.265845i | 0.445157 | − | 0.895453i | \(-0.353148\pi\) |
0.776913 | + | 0.629608i | \(0.216784\pi\) | |||||||
\(108\) | 28.6464 | + | 15.6421i | 0.265244 | + | 0.144834i | ||||
\(109\) | −157.841 | − | 22.6941i | −1.44808 | − | 0.208203i | −0.627002 | − | 0.779017i | \(-0.715718\pi\) |
−0.821079 | + | 0.570815i | \(0.806627\pi\) | |||||||
\(110\) | −38.7039 | + | 80.6684i | −0.351854 | + | 0.733350i | ||||
\(111\) | −0.333777 | − | 2.32147i | −0.00300700 | − | 0.0209141i | ||||
\(112\) | −7.76884 | + | 35.7128i | −0.0693646 | + | 0.318864i | ||||
\(113\) | 99.8786 | − | 7.14346i | 0.883881 | − | 0.0632164i | 0.377986 | − | 0.925811i | \(-0.376617\pi\) |
0.505895 | + | 0.862595i | \(0.331162\pi\) | |||||||
\(114\) | 21.3998i | 0.187717i | ||||||||
\(115\) | 22.0132 | + | 112.873i | 0.191419 | + | 0.981508i | ||||
\(116\) | 81.7265 | 0.704539 | ||||||||
\(117\) | −13.3977 | − | 187.324i | −0.114510 | − | 1.60106i | ||||
\(118\) | 110.836 | + | 24.1109i | 0.939287 | + | 0.204329i | ||||
\(119\) | 36.4856 | − | 5.24584i | 0.306602 | − | 0.0440827i | ||||
\(120\) | −4.47925 | − | 12.7417i | −0.0373271 | − | 0.106181i | ||||
\(121\) | −5.56563 | + | 38.7098i | −0.0459969 | + | 0.319916i | ||||
\(122\) | 4.61365 | − | 8.44927i | 0.0378168 | − | 0.0692563i | ||||
\(123\) | −11.8560 | − | 54.5009i | −0.0963899 | − | 0.443097i | ||||
\(124\) | −57.7728 | − | 26.3839i | −0.465909 | − | 0.212774i | ||||
\(125\) | 66.0432 | − | 106.129i | 0.528345 | − | 0.849030i | ||||
\(126\) | 68.4392 | + | 78.9830i | 0.543168 | + | 0.626849i | ||||
\(127\) | −138.260 | − | 9.88853i | −1.08866 | − | 0.0778625i | −0.484550 | − | 0.874764i | \(-0.661017\pi\) |
−0.604110 | + | 0.796901i | \(0.706471\pi\) | |||||||
\(128\) | −5.42208 | − | 9.92980i | −0.0423600 | − | 0.0775766i | ||||
\(129\) | −36.8185 | − | 16.8144i | −0.285415 | − | 0.130344i | ||||
\(130\) | −100.869 | + | 129.554i | −0.775916 | + | 0.996566i | ||||
\(131\) | −32.8103 | + | 9.63398i | −0.250461 | + | 0.0735419i | −0.404553 | − | 0.914515i | \(-0.632573\pi\) |
0.154092 | + | 0.988056i | \(0.450755\pi\) | |||||||
\(132\) | −14.4837 | − | 19.3479i | −0.109725 | − | 0.146575i | ||||
\(133\) | −50.5924 | + | 135.643i | −0.380394 | + | 1.01988i | ||||
\(134\) | −45.7550 | + | 6.57858i | −0.341455 | + | 0.0490939i | ||||
\(135\) | −77.8421 | − | 24.4680i | −0.576608 | − | 0.181244i | ||||
\(136\) | −7.47231 | + | 8.62351i | −0.0549435 | + | 0.0634081i | ||||
\(137\) | −25.8675 | + | 25.8675i | −0.188814 | + | 0.188814i | −0.795183 | − | 0.606369i | \(-0.792625\pi\) |
0.606369 | + | 0.795183i | \(0.292625\pi\) | |||||||
\(138\) | −29.7825 | − | 8.83043i | −0.215815 | − | 0.0639886i | ||||
\(139\) | 164.481i | 1.18331i | 0.806190 | + | 0.591657i | \(0.201526\pi\) | ||||
−0.806190 | + | 0.591657i | \(0.798474\pi\) | |||||||
\(140\) | 1.73141 | − | 91.3536i | 0.0123672 | − | 0.652526i | ||||
\(141\) | 58.8925 | − | 37.8479i | 0.417678 | − | 0.268425i | ||||
\(142\) | 36.4356 | + | 27.2753i | 0.256589 | + | 0.192080i | ||||
\(143\) | −102.677 | + | 275.288i | −0.718022 | + | 1.92509i | ||||
\(144\) | −32.0224 | − | 4.60413i | −0.222378 | − | 0.0319731i | ||||
\(145\) | −200.434 | + | 39.6395i | −1.38230 | + | 0.273376i | ||||
\(146\) | 93.6149 | + | 60.1627i | 0.641198 | + | 0.412073i | ||||
\(147\) | −11.5092 | − | 30.8574i | −0.0782939 | − | 0.209914i | ||||
\(148\) | 2.35387 | + | 4.31079i | 0.0159045 | + | 0.0291269i | ||||
\(149\) | −130.864 | + | 113.394i | −0.878282 | + | 0.761036i | −0.972103 | − | 0.234553i | \(-0.924637\pi\) |
0.0938213 | + | 0.995589i | \(0.470092\pi\) | |||||||
\(150\) | 17.1654 | + | 29.0764i | 0.114436 | + | 0.193843i | ||||
\(151\) | −11.4163 | − | 3.35214i | −0.0756049 | − | 0.0221996i | 0.243711 | − | 0.969848i | \(-0.421635\pi\) |
−0.319316 | + | 0.947648i | \(0.603453\pi\) | |||||||
\(152\) | −15.6613 | − | 41.9895i | −0.103035 | − | 0.276246i | ||||
\(153\) | 6.93570 | + | 31.8829i | 0.0453314 | + | 0.208385i | ||||
\(154\) | −46.0640 | − | 156.880i | −0.299117 | − | 1.01870i | ||||
\(155\) | 154.485 | + | 36.6852i | 0.996674 | + | 0.236679i | ||||
\(156\) | −18.4243 | − | 40.3436i | −0.118105 | − | 0.258613i | ||||
\(157\) | −107.932 | − | 80.7968i | −0.687464 | − | 0.514629i | 0.197492 | − | 0.980305i | \(-0.436720\pi\) |
−0.884956 | + | 0.465676i | \(0.845811\pi\) | |||||||
\(158\) | −58.7944 | − | 12.7899i | −0.372116 | − | 0.0809490i | ||||
\(159\) | 37.4087 | + | 32.4149i | 0.235275 | + | 0.203867i | ||||
\(160\) | 18.1139 | + | 21.7230i | 0.113212 | + | 0.135769i | ||||
\(161\) | −167.901 | − | 126.383i | −1.04287 | − | 0.784986i | ||||
\(162\) | −57.2059 | + | 57.2059i | −0.353123 | + | 0.353123i | ||||
\(163\) | −40.9044 | + | 2.92554i | −0.250947 | + | 0.0179481i | −0.196246 | − | 0.980555i | \(-0.562875\pi\) |
−0.0547011 | + | 0.998503i | \(0.517421\pi\) | |||||||
\(164\) | 63.1492 | + | 98.2621i | 0.385056 | + | 0.599159i | ||||
\(165\) | 44.9055 | + | 40.4258i | 0.272155 | + | 0.245005i | ||||
\(166\) | 49.6670 | + | 108.755i | 0.299199 | + | 0.655153i | ||||
\(167\) | 181.022 | + | 241.817i | 1.08396 | + | 1.44800i | 0.883576 | + | 0.468287i | \(0.155129\pi\) |
0.200386 | + | 0.979717i | \(0.435780\pi\) | |||||||
\(168\) | 21.6620 | + | 11.8284i | 0.128941 | + | 0.0704069i | ||||
\(169\) | −200.131 | + | 311.410i | −1.18421 | + | 1.84266i | ||||
\(170\) | 14.1432 | − | 24.7734i | 0.0831953 | − | 0.145726i | ||||
\(171\) | −122.958 | − | 36.1038i | −0.719055 | − | 0.211133i | ||||
\(172\) | 84.5488 | + | 6.04705i | 0.491563 | + | 0.0351573i | ||||
\(173\) | 3.46214 | − | 48.4071i | 0.0200124 | − | 0.279810i | −0.977585 | − | 0.210539i | \(-0.932478\pi\) |
0.997598 | − | 0.0692709i | \(-0.0220673\pi\) | |||||||
\(174\) | 15.5489 | − | 52.9547i | 0.0893615 | − | 0.304337i | ||||
\(175\) | 40.0627 | + | 224.884i | 0.228930 | + | 1.28505i | ||||
\(176\) | 42.5788 | + | 27.3637i | 0.241925 | + | 0.155476i | ||||
\(177\) | 36.7097 | − | 67.2289i | 0.207400 | − | 0.379824i | ||||
\(178\) | 100.875 | − | 75.5144i | 0.566716 | − | 0.424238i | ||||
\(179\) | −157.347 | + | 71.8580i | −0.879034 | + | 0.401441i | −0.803221 | − | 0.595681i | \(-0.796882\pi\) |
−0.0758124 | + | 0.997122i | \(0.524155\pi\) | |||||||
\(180\) | 80.7680 | − | 4.24012i | 0.448711 | − | 0.0235562i | ||||
\(181\) | 270.646 | − | 173.934i | 1.49528 | − | 0.960960i | 0.499788 | − | 0.866148i | \(-0.333411\pi\) |
0.995495 | − | 0.0948125i | \(-0.0302252\pi\) | |||||||
\(182\) | −21.4048 | − | 299.278i | −0.117609 | − | 1.64439i | ||||
\(183\) | −4.59693 | − | 4.59693i | −0.0251199 | − | 0.0251199i | ||||
\(184\) | 64.9001 | − | 4.46950i | 0.352718 | − | 0.0242908i | ||||
\(185\) | −7.86371 | − | 9.43051i | −0.0425065 | − | 0.0509757i | ||||
\(186\) | −28.0871 | + | 32.4142i | −0.151006 | + | 0.174270i | ||||
\(187\) | 10.8507 | − | 49.8801i | 0.0580254 | − | 0.266738i | ||||
\(188\) | −87.8570 | + | 117.363i | −0.467325 | + | 0.624273i | ||||
\(189\) | 135.636 | − | 61.9427i | 0.717649 | − | 0.327739i | ||||
\(190\) | 58.7752 | + | 95.3829i | 0.309343 | + | 0.502016i | ||||
\(191\) | 136.088 | − | 39.9590i | 0.712502 | − | 0.209209i | 0.0946575 | − | 0.995510i | \(-0.469824\pi\) |
0.617844 | + | 0.786301i | \(0.288006\pi\) | |||||||
\(192\) | −7.46560 | + | 1.62404i | −0.0388833 | + | 0.00845855i | ||||
\(193\) | −216.762 | + | 80.8481i | −1.12312 | + | 0.418902i | −0.841302 | − | 0.540566i | \(-0.818210\pi\) |
−0.281818 | + | 0.959468i | \(0.590938\pi\) | |||||||
\(194\) | −25.7260 | + | 87.6146i | −0.132608 | + | 0.451622i | ||||
\(195\) | 64.7534 | + | 90.0064i | 0.332069 | + | 0.461571i | ||||
\(196\) | 45.1655 | + | 52.1237i | 0.230436 | + | 0.265937i | ||||
\(197\) | 92.0231 | − | 50.2484i | 0.467122 | − | 0.255068i | −0.228407 | − | 0.973566i | \(-0.573352\pi\) |
0.695529 | + | 0.718498i | \(0.255170\pi\) | |||||||
\(198\) | 135.605 | − | 50.5779i | 0.684872 | − | 0.255444i | ||||
\(199\) | 190.893 | − | 297.035i | 0.959260 | − | 1.49264i | 0.0914092 | − | 0.995813i | \(-0.470863\pi\) |
0.867851 | − | 0.496825i | \(-0.165501\pi\) | |||||||
\(200\) | −54.9605 | − | 44.4898i | −0.274802 | − | 0.222449i | ||||
\(201\) | −4.44255 | + | 30.8986i | −0.0221022 | + | 0.153724i | ||||
\(202\) | −127.480 | − | 47.5477i | −0.631091 | − | 0.235385i | ||||
\(203\) | 223.751 | − | 298.896i | 1.10222 | − | 1.47239i | ||||
\(204\) | 4.16596 | + | 6.48235i | 0.0204214 | + | 0.0317762i | ||||
\(205\) | −202.533 | − | 210.359i | −0.987967 | − | 1.02614i | ||||
\(206\) | 158.068 | 0.767320 | ||||||||
\(207\) | 100.984 | − | 156.226i | 0.487846 | − | 0.754714i | ||||
\(208\) | 65.6764 | + | 65.6764i | 0.315752 | + | 0.315752i | ||||
\(209\) | 151.518 | + | 131.291i | 0.724965 | + | 0.628186i | ||||
\(210\) | −58.8632 | − | 18.5024i | −0.280301 | − | 0.0881066i | ||||
\(211\) | 21.2497 | + | 147.795i | 0.100709 | + | 0.700449i | 0.976146 | + | 0.217116i | \(0.0696650\pi\) |
−0.875436 | + | 0.483333i | \(0.839426\pi\) | |||||||
\(212\) | −97.1240 | − | 36.2254i | −0.458132 | − | 0.170874i | ||||
\(213\) | 24.6051 | − | 18.4192i | 0.115517 | − | 0.0864750i | ||||
\(214\) | 53.3178 | + | 181.584i | 0.249148 | + | 0.848522i | ||||
\(215\) | −210.289 | + | 26.1781i | −0.978087 | + | 0.121758i | ||||
\(216\) | −19.1748 | + | 41.9870i | −0.0887723 | + | 0.194384i | ||||
\(217\) | −254.664 | + | 139.057i | −1.17356 | + | 0.640815i | ||||
\(218\) | 16.0881 | − | 224.941i | 0.0737988 | − | 1.03184i | ||||
\(219\) | 56.7931 | − | 49.2115i | 0.259329 | − | 0.224710i | ||||
\(220\) | −117.697 | − | 46.4576i | −0.534984 | − | 0.211171i | ||||
\(221\) | 38.9142 | − | 85.2101i | 0.176082 | − | 0.385566i | ||||
\(222\) | 3.24101 | − | 0.705039i | 0.0145992 | − | 0.00317585i | ||||
\(223\) | 143.814 | + | 78.5286i | 0.644908 | + | 0.352146i | 0.768187 | − | 0.640226i | \(-0.221159\pi\) |
−0.123279 | + | 0.992372i | \(0.539341\pi\) | |||||||
\(224\) | −51.1606 | − | 7.35578i | −0.228395 | − | 0.0328383i | ||||
\(225\) | −196.027 | + | 49.5736i | −0.871231 | + | 0.220327i | ||||
\(226\) | 20.1533 | + | 140.169i | 0.0891737 | + | 0.620217i | ||||
\(227\) | 29.7063 | − | 136.558i | 0.130865 | − | 0.601576i | −0.864268 | − | 0.503032i | \(-0.832218\pi\) |
0.995133 | − | 0.0985439i | \(-0.0314185\pi\) | |||||||
\(228\) | −30.1867 | + | 2.15900i | −0.132398 | + | 0.00946928i | ||||
\(229\) | 45.6909i | 0.199523i | 0.995011 | + | 0.0997617i | \(0.0318081\pi\) | ||||
−0.995011 | + | 0.0997617i | \(0.968192\pi\) | |||||||
\(230\) | −157.000 | + | 42.4397i | −0.682607 | + | 0.184521i | ||||
\(231\) | −110.414 | −0.477983 | ||||||||
\(232\) | 8.24529 | + | 115.284i | 0.0355400 | + | 0.496915i | ||||
\(233\) | −388.151 | − | 84.4370i | −1.66588 | − | 0.362391i | −0.721801 | − | 0.692101i | \(-0.756685\pi\) |
−0.944082 | + | 0.329711i | \(0.893049\pi\) | |||||||
\(234\) | 262.890 | − | 37.7978i | 1.12346 | − | 0.161529i | ||||
\(235\) | 158.545 | − | 330.446i | 0.674659 | − | 1.40615i | ||||
\(236\) | −22.8289 | + | 158.779i | −0.0967327 | + | 0.672791i | ||||
\(237\) | −19.4732 | + | 35.6625i | −0.0821654 | + | 0.150475i | ||||
\(238\) | 11.0808 | + | 50.9377i | 0.0465581 | + | 0.214024i | ||||
\(239\) | 162.786 | + | 74.3417i | 0.681112 | + | 0.311053i | 0.725758 | − | 0.687950i | \(-0.241489\pi\) |
−0.0446469 | + | 0.999003i | \(0.514216\pi\) | |||||||
\(240\) | 17.5217 | − | 7.60398i | 0.0730070 | − | 0.0316832i | ||||
\(241\) | −204.650 | − | 236.179i | −0.849171 | − | 0.979996i | 0.150792 | − | 0.988566i | \(-0.451818\pi\) |
−0.999963 | + | 0.00856957i | \(0.997272\pi\) | |||||||
\(242\) | −55.1660 | − | 3.94555i | −0.227959 | − | 0.0163039i | ||||
\(243\) | 96.5724 | + | 176.859i | 0.397417 | + | 0.727815i | ||||
\(244\) | 12.3841 | + | 5.65562i | 0.0507545 | + | 0.0231788i | ||||
\(245\) | −136.050 | − | 105.927i | −0.555305 | − | 0.432355i | ||||
\(246\) | 75.6835 | − | 22.2227i | 0.307656 | − | 0.0903360i | ||||
\(247\) | 220.481 | + | 294.528i | 0.892637 | + | 1.19242i | ||||
\(248\) | 31.3888 | − | 84.1567i | 0.126568 | − | 0.339341i | ||||
\(249\) | 79.9175 | − | 11.4904i | 0.320954 | − | 0.0461462i | ||||
\(250\) | 156.369 | + | 82.4540i | 0.625477 | + | 0.329816i | ||||
\(251\) | 102.847 | − | 118.691i | 0.409748 | − | 0.472874i | −0.512939 | − | 0.858425i | \(-0.671443\pi\) |
0.922687 | + | 0.385551i | \(0.125989\pi\) | |||||||
\(252\) | −104.510 | + | 104.510i | −0.414720 | + | 0.414720i | ||||
\(253\) | −245.243 | + | 156.694i | −0.969339 | + | 0.619345i | ||||
\(254\) | − | 196.028i | − | 0.771765i | ||||||
\(255\) | −13.3611 | − | 13.8774i | −0.0523965 | − | 0.0544210i | ||||
\(256\) | 13.4601 | − | 8.65025i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 261.201 | + | 195.533i | 1.01635 | + | 0.760828i | 0.971227 | − | 0.238154i | \(-0.0765423\pi\) |
0.0451192 | + | 0.998982i | \(0.485633\pi\) | |||||||
\(258\) | 20.0040 | − | 53.6329i | 0.0775351 | − | 0.207880i | ||||
\(259\) | 22.2101 | + | 3.19334i | 0.0857535 | + | 0.0123295i | ||||
\(260\) | −192.926 | − | 129.217i | −0.742024 | − | 0.496987i | ||||
\(261\) | 278.033 | + | 178.681i | 1.06526 | + | 0.684602i | ||||
\(262\) | −16.9000 | − | 45.3106i | −0.0645038 | − | 0.172941i | ||||
\(263\) | −31.0497 | − | 56.8633i | −0.118060 | − | 0.216210i | 0.811966 | − | 0.583705i | \(-0.198397\pi\) |
−0.930026 | + | 0.367495i | \(0.880216\pi\) | |||||||
\(264\) | 25.8312 | − | 22.3828i | 0.0978453 | − | 0.0847835i | ||||
\(265\) | 255.767 | + | 41.7349i | 0.965158 | + | 0.157490i | ||||
\(266\) | −196.444 | − | 57.6812i | −0.738512 | − | 0.216847i | ||||
\(267\) | −29.7375 | − | 79.7292i | −0.111376 | − | 0.298611i | ||||
\(268\) | −13.8960 | − | 63.8788i | −0.0518507 | − | 0.238354i | ||||
\(269\) | −25.3271 | − | 86.2560i | −0.0941526 | − | 0.320654i | 0.898927 | − | 0.438099i | \(-0.144348\pi\) |
−0.993079 | + | 0.117444i | \(0.962530\pi\) | |||||||
\(270\) | 26.6614 | − | 112.273i | 0.0987459 | − | 0.415827i | ||||
\(271\) | −29.0744 | − | 63.6641i | −0.107286 | − | 0.234923i | 0.848373 | − | 0.529398i | \(-0.177582\pi\) |
−0.955659 | + | 0.294475i | \(0.904855\pi\) | |||||||
\(272\) | −12.9183 | − | 9.67050i | −0.0474937 | − | 0.0355533i | ||||
\(273\) | −197.990 | − | 43.0701i | −0.725238 | − | 0.157766i | ||||
\(274\) | −39.0987 | − | 33.8792i | −0.142696 | − | 0.123647i | ||||
\(275\) | 311.184 | + | 56.8513i | 1.13158 | + | 0.206732i | ||||
\(276\) | 9.45158 | − | 42.9024i | 0.0342448 | − | 0.155443i | ||||
\(277\) | −257.224 | + | 257.224i | −0.928605 | + | 0.928605i | −0.997616 | − | 0.0690109i | \(-0.978016\pi\) |
0.0690109 | + | 0.997616i | \(0.478016\pi\) | |||||||
\(278\) | −232.018 | + | 16.5943i | −0.834597 | + | 0.0596916i | ||||
\(279\) | −138.859 | − | 216.069i | −0.497702 | − | 0.774439i | ||||
\(280\) | 129.039 | − | 6.77422i | 0.460854 | − | 0.0241936i | ||||
\(281\) | −180.548 | − | 395.345i | −0.642520 | − | 1.40692i | −0.897951 | − | 0.440095i | \(-0.854945\pi\) |
0.255431 | − | 0.966827i | \(-0.417783\pi\) | |||||||
\(282\) | 59.3303 | + | 79.2560i | 0.210391 | + | 0.281050i | ||||
\(283\) | 349.915 | + | 191.068i | 1.23645 | + | 0.675152i | 0.958404 | − | 0.285417i | \(-0.0921319\pi\) |
0.278044 | + | 0.960568i | \(0.410314\pi\) | |||||||
\(284\) | −34.7989 | + | 54.1482i | −0.122531 | + | 0.190663i | ||||
\(285\) | 72.9857 | − | 19.9363i | 0.256090 | − | 0.0699520i | ||||
\(286\) | −398.683 | − | 117.064i | −1.39400 | − | 0.409314i | ||||
\(287\) | 532.261 | + | 38.0681i | 1.85457 | + | 0.132641i | ||||
\(288\) | 3.26393 | − | 45.6357i | 0.0113331 | − | 0.158457i | ||||
\(289\) | 76.8355 | − | 261.678i | 0.265867 | − | 0.905459i | ||||
\(290\) | −76.1375 | − | 278.735i | −0.262543 | − | 0.961156i | ||||
\(291\) | 51.8754 | + | 33.3383i | 0.178266 | + | 0.114565i | ||||
\(292\) | −75.4214 | + | 138.124i | −0.258292 | + | 0.473027i | ||||
\(293\) | −89.5339 | + | 67.0243i | −0.305577 | + | 0.228752i | −0.741050 | − | 0.671450i | \(-0.765672\pi\) |
0.435473 | + | 0.900202i | \(0.356581\pi\) | |||||||
\(294\) | 42.3665 | − | 19.3482i | 0.144104 | − | 0.0658100i | ||||
\(295\) | −21.0240 | − | 400.477i | −0.0712679 | − | 1.35755i | ||||
\(296\) | −5.84336 | + | 3.75530i | −0.0197411 | + | 0.0126868i | ||||
\(297\) | −14.7312 | − | 205.969i | −0.0496001 | − | 0.693500i | ||||
\(298\) | −173.158 | − | 173.158i | −0.581067 | − | 0.581067i | ||||
\(299\) | −500.881 | + | 185.314i | −1.67519 | + | 0.619778i | ||||
\(300\) | −39.2837 | + | 27.1472i | −0.130946 | + | 0.0904907i | ||||
\(301\) | 253.593 | − | 292.662i | 0.842503 | − | 0.972300i | ||||
\(302\) | 3.57678 | − | 16.4422i | 0.0118436 | − | 0.0544444i | ||||
\(303\) | −55.0624 | + | 73.5547i | −0.181724 | + | 0.242755i | ||||
\(304\) | 57.6507 | − | 26.3282i | 0.189641 | − | 0.0866059i | ||||
\(305\) | −33.1151 | − | 7.86379i | −0.108574 | − | 0.0257829i | ||||
\(306\) | −44.2746 | + | 13.0002i | −0.144688 | + | 0.0424843i | ||||
\(307\) | −485.475 | + | 105.609i | −1.58135 | + | 0.344002i | −0.915575 | − | 0.402148i | \(-0.868264\pi\) |
−0.665778 | + | 0.746150i | \(0.731900\pi\) | |||||||
\(308\) | 216.649 | − | 80.8058i | 0.703405 | − | 0.262357i | ||||
\(309\) | 30.0733 | − | 102.420i | 0.0973245 | − | 0.331457i | ||||
\(310\) | −36.1628 | + | 221.619i | −0.116654 | + | 0.714899i | ||||
\(311\) | −37.8602 | − | 43.6930i | −0.121737 | − | 0.140492i | 0.691609 | − | 0.722272i | \(-0.256902\pi\) |
−0.813346 | + | 0.581780i | \(0.802357\pi\) | |||||||
\(312\) | 55.0504 | − | 30.0598i | 0.176443 | − | 0.0963454i | ||||
\(313\) | −34.6715 | + | 12.9318i | −0.110772 | + | 0.0413157i | −0.404239 | − | 0.914653i | \(-0.632464\pi\) |
0.293467 | + | 0.955969i | \(0.405191\pi\) | |||||||
\(314\) | 103.084 | − | 160.401i | 0.328292 | − | 0.510832i | ||||
\(315\) | 205.620 | − | 306.999i | 0.652760 | − | 0.974601i | ||||
\(316\) | 12.1099 | − | 84.2263i | 0.0383225 | − | 0.266539i | ||||
\(317\) | 223.903 | + | 83.5116i | 0.706319 | + | 0.263443i | 0.676849 | − | 0.736122i | \(-0.263345\pi\) |
0.0294706 | + | 0.999566i | \(0.490618\pi\) | |||||||
\(318\) | −41.9506 | + | 56.0395i | −0.131920 | + | 0.176225i | ||||
\(319\) | −279.543 | − | 434.977i | −0.876309 | − | 1.36356i | ||||
\(320\) | −28.8152 | + | 27.7432i | −0.0900474 | + | 0.0866976i | ||||
\(321\) | 127.801 | 0.398134 | ||||||||
\(322\) | 161.337 | − | 249.594i | 0.501048 | − | 0.775137i | ||||
\(323\) | −45.1986 | − | 45.1986i | −0.139934 | − | 0.139934i | ||||
\(324\) | −86.4667 | − | 74.9238i | −0.266872 | − | 0.231246i | ||||
\(325\) | 535.825 | + | 223.329i | 1.64869 | + | 0.687166i | ||||
\(326\) | −8.25359 | − | 57.4050i | −0.0253178 | − | 0.176089i | ||||
\(327\) | −142.690 | − | 53.2206i | −0.436361 | − | 0.162754i | ||||
\(328\) | −132.239 | + | 98.9925i | −0.403166 | + | 0.301806i | ||||
\(329\) | 188.694 | + | 642.634i | 0.573539 | + | 1.95330i | ||||
\(330\) | −52.4946 | + | 67.4227i | −0.159075 | + | 0.204311i | ||||
\(331\) | −84.3651 | + | 184.734i | −0.254879 | + | 0.558108i | −0.993211 | − | 0.116330i | \(-0.962887\pi\) |
0.738331 | + | 0.674438i | \(0.235614\pi\) | |||||||
\(332\) | −148.401 | + | 81.0329i | −0.446990 | + | 0.244075i | ||||
\(333\) | −1.41696 | + | 19.8116i | −0.00425512 | + | 0.0594944i | ||||
\(334\) | −322.846 | + | 279.748i | −0.966605 | + | 0.837568i | ||||
\(335\) | 65.0628 | + | 149.923i | 0.194217 | + | 0.447530i | ||||
\(336\) | −14.4998 | + | 31.7500i | −0.0431540 | + | 0.0944942i | ||||
\(337\) | 509.249 | − | 110.780i | 1.51113 | − | 0.328725i | 0.620771 | − | 0.783992i | \(-0.286820\pi\) |
0.890355 | + | 0.455267i | \(0.150456\pi\) | |||||||
\(338\) | −459.470 | − | 250.889i | −1.35938 | − | 0.742276i | ||||
\(339\) | 94.6568 | + | 13.6096i | 0.279224 | + | 0.0401463i | ||||
\(340\) | 36.3725 | + | 17.4512i | 0.106978 | + | 0.0513270i | ||||
\(341\) | 57.1852 | + | 397.732i | 0.167699 | + | 1.16637i | ||||
\(342\) | 38.5233 | − | 177.089i | 0.112641 | − | 0.517803i | ||||
\(343\) | −132.288 | + | 9.46140i | −0.385678 | + | 0.0275843i | ||||
\(344\) | 119.875i | 0.348475i | ||||||||
\(345\) | −2.37117 | + | 109.802i | −0.00687294 | + | 0.318268i | ||||
\(346\) | 68.6328 | 0.198361 | ||||||||
\(347\) | 36.1594 | + | 505.574i | 0.104206 | + | 1.45699i | 0.733432 | + | 0.679763i | \(0.237917\pi\) |
−0.629226 | + | 0.777222i | \(0.716628\pi\) | |||||||
\(348\) | 76.2671 | + | 16.5909i | 0.219158 | + | 0.0476750i | ||||
\(349\) | 562.914 | − | 80.9348i | 1.61293 | − | 0.231905i | 0.723953 | − | 0.689849i | \(-0.242323\pi\) |
0.888981 | + | 0.457944i | \(0.151414\pi\) | |||||||
\(350\) | −313.182 | + | 79.2012i | −0.894807 | + | 0.226289i | ||||
\(351\) | 53.9286 | − | 375.082i | 0.153643 | − | 1.06861i | ||||
\(352\) | −34.3038 | + | 62.8228i | −0.0974540 | + | 0.178474i | ||||
\(353\) | −59.9190 | − | 275.443i | −0.169742 | − | 0.780293i | −0.980752 | − | 0.195259i | \(-0.937445\pi\) |
0.811009 | − | 0.585033i | \(-0.198919\pi\) | |||||||
\(354\) | 98.5374 | + | 45.0005i | 0.278354 | + | 0.127120i | ||||
\(355\) | 59.0810 | − | 149.677i | 0.166425 | − | 0.421625i | ||||
\(356\) | 116.699 | + | 134.677i | 0.327805 | + | 0.378307i | ||||
\(357\) | 35.1133 | + | 2.51135i | 0.0983566 | + | 0.00703460i | ||||
\(358\) | −117.238 | − | 214.706i | −0.327481 | − | 0.599736i | ||||
\(359\) | −67.8203 | − | 30.9725i | −0.188914 | − | 0.0862743i | 0.318712 | − | 0.947852i | \(-0.396750\pi\) |
−0.507626 | + | 0.861577i | \(0.669477\pi\) | |||||||
\(360\) | 14.1297 | + | 113.504i | 0.0392493 | + | 0.315290i | ||||
\(361\) | −105.498 | + | 30.9769i | −0.292237 | + | 0.0858085i | ||||
\(362\) | 272.658 | + | 364.228i | 0.753199 | + | 1.00616i | ||||
\(363\) | −13.0521 | + | 34.9941i | −0.0359563 | + | 0.0964026i | ||||
\(364\) | 420.006 | − | 60.3877i | 1.15386 | − | 0.165900i | ||||
\(365\) | 117.977 | − | 375.330i | 0.323225 | − | 1.02830i | ||||
\(366\) | 6.02070 | − | 6.94826i | 0.0164500 | − | 0.0189843i | ||||
\(367\) | −383.416 | + | 383.416i | −1.04473 | + | 1.04473i | −0.0457792 | + | 0.998952i | \(0.514577\pi\) |
−0.998952 | + | 0.0457792i | \(0.985423\pi\) | |||||||
\(368\) | 12.8524 | + | 91.0978i | 0.0349251 | + | 0.247548i | ||||
\(369\) | 472.353i | 1.28009i | ||||||||
\(370\) | 12.5094 | − | 12.0441i | 0.0338092 | − | 0.0325515i | ||||
\(371\) | −398.392 | + | 256.031i | −1.07383 | + | 0.690111i | ||||
\(372\) | −48.5575 | − | 36.3497i | −0.130531 | − | 0.0977141i | ||||
\(373\) | 77.4426 | − | 207.632i | 0.207621 | − | 0.556653i | −0.790845 | − | 0.612016i | \(-0.790359\pi\) |
0.998466 | + | 0.0553628i | \(0.0176316\pi\) | |||||||
\(374\) | 71.4561 | + | 10.2738i | 0.191059 | + | 0.0274701i | ||||
\(375\) | 83.1762 | − | 85.6322i | 0.221803 | − | 0.228353i | ||||
\(376\) | −174.418 | − | 112.091i | −0.463877 | − | 0.298115i | ||||
\(377\) | −331.589 | − | 889.024i | −0.879546 | − | 2.35815i | ||||
\(378\) | 101.061 | + | 185.080i | 0.267357 | + | 0.489629i | ||||
\(379\) | −110.207 | + | 95.4951i | −0.290784 | + | 0.251966i | −0.788020 | − | 0.615649i | \(-0.788894\pi\) |
0.497236 | + | 0.867615i | \(0.334348\pi\) | |||||||
\(380\) | −128.618 | + | 92.5320i | −0.338469 | + | 0.243505i | ||||
\(381\) | −127.017 | − | 37.2954i | −0.333377 | − | 0.0978883i | ||||
\(382\) | 70.0963 | + | 187.935i | 0.183498 | + | 0.491978i | ||||
\(383\) | −11.3423 | − | 52.1399i | −0.0296145 | − | 0.136135i | 0.959966 | − | 0.280117i | \(-0.0903732\pi\) |
−0.989580 | + | 0.143981i | \(0.954010\pi\) | |||||||
\(384\) | −3.04409 | − | 10.3672i | −0.00792731 | − | 0.0269979i | ||||
\(385\) | −492.138 | + | 303.257i | −1.27828 | + | 0.787680i | ||||
\(386\) | −135.914 | − | 297.610i | −0.352109 | − | 0.771011i | ||||
\(387\) | 274.414 | + | 205.424i | 0.709080 | + | 0.530811i | ||||
\(388\) | −126.185 | − | 27.4500i | −0.325220 | − | 0.0707474i | ||||
\(389\) | 101.898 | + | 88.2955i | 0.261950 | + | 0.226981i | 0.775926 | − | 0.630823i | \(-0.217283\pi\) |
−0.513977 | + | 0.857804i | \(0.671828\pi\) | |||||||
\(390\) | −120.431 | + | 100.422i | −0.308798 | + | 0.257493i | ||||
\(391\) | 81.5547 | − | 44.2530i | 0.208580 | − | 0.113179i | ||||
\(392\) | −68.9696 | + | 68.9696i | −0.175943 | + | 0.175943i | ||||
\(393\) | −32.5744 | + | 2.32976i | −0.0828864 | + | 0.00592815i | ||||
\(394\) | 80.1650 | + | 124.739i | 0.203464 | + | 0.316597i | ||||
\(395\) | 11.1525 | + | 212.439i | 0.0282341 | + | 0.537819i | ||||
\(396\) | 85.0268 | + | 186.183i | 0.214714 | + | 0.470158i | ||||
\(397\) | 3.38782 | + | 4.52560i | 0.00853356 | + | 0.0113995i | 0.804788 | − | 0.593563i | \(-0.202279\pi\) |
−0.796254 | + | 0.604962i | \(0.793188\pi\) | |||||||
\(398\) | 438.260 | + | 239.308i | 1.10115 | + | 0.601276i | ||||
\(399\) | −74.7492 | + | 116.312i | −0.187341 | + | 0.291509i | ||||
\(400\) | 57.2129 | − | 82.0163i | 0.143032 | − | 0.205041i | ||||
\(401\) | 152.879 | + | 44.8893i | 0.381244 | + | 0.111943i | 0.466739 | − | 0.884395i | \(-0.345429\pi\) |
−0.0854946 | + | 0.996339i | \(0.527247\pi\) | |||||||
\(402\) | −44.0341 | − | 3.14938i | −0.109537 | − | 0.00783427i | ||||
\(403\) | −52.6042 | + | 735.502i | −0.130531 | + | 1.82507i | ||||
\(404\) | 54.2099 | − | 184.622i | 0.134183 | − | 0.456985i | ||||
\(405\) | 248.399 | + | 141.812i | 0.613332 | + | 0.350153i | ||||
\(406\) | 444.200 | + | 285.470i | 1.09409 | + | 0.703128i | ||||
\(407\) | 14.8922 | − | 27.2730i | 0.0365901 | − | 0.0670098i | ||||
\(408\) | −8.72378 | + | 6.53054i | −0.0213818 | + | 0.0160062i | ||||
\(409\) | −287.869 | + | 131.465i | −0.703836 | + | 0.321431i | −0.734985 | − | 0.678084i | \(-0.762811\pi\) |
0.0311490 | + | 0.999515i | \(0.490083\pi\) | |||||||
\(410\) | 276.301 | − | 306.918i | 0.673904 | − | 0.748581i | ||||
\(411\) | −29.3908 | + | 18.8883i | −0.0715104 | + | 0.0459569i | ||||
\(412\) | 15.9473 | + | 222.972i | 0.0387070 | + | 0.541195i | ||||
\(413\) | 518.196 | + | 518.196i | 1.25471 | + | 1.25471i | ||||
\(414\) | 230.562 | + | 126.688i | 0.556913 | + | 0.306009i | ||||
\(415\) | 324.649 | − | 270.712i | 0.782288 | − | 0.652317i | ||||
\(416\) | −86.0178 | + | 99.2699i | −0.206774 | + | 0.238630i | ||||
\(417\) | −33.3904 | + | 153.493i | −0.0800729 | + | 0.368089i | ||||
\(418\) | −169.914 | + | 226.978i | −0.406492 | + | 0.543010i | ||||
\(419\) | 74.4459 | − | 33.9983i | 0.177675 | − | 0.0811415i | −0.324592 | − | 0.945854i | \(-0.605227\pi\) |
0.502267 | + | 0.864713i | \(0.332500\pi\) | |||||||
\(420\) | 20.1610 | − | 84.8997i | 0.0480024 | − | 0.202142i | ||||
\(421\) | −277.590 | + | 81.5077i | −0.659358 | + | 0.193605i | −0.594259 | − | 0.804274i | \(-0.702555\pi\) |
−0.0650993 | + | 0.997879i | \(0.520736\pi\) | |||||||
\(422\) | −206.337 | + | 44.8859i | −0.488950 | + | 0.106365i | ||||
\(423\) | −555.484 | + | 207.185i | −1.31320 | + | 0.489799i | ||||
\(424\) | 41.3012 | − | 140.659i | 0.0974084 | − | 0.331743i | ||||
\(425\) | −97.6678 | − | 25.1573i | −0.229807 | − | 0.0591937i | ||||
\(426\) | 28.4647 | + | 32.8500i | 0.0668184 | + | 0.0771126i | ||||
\(427\) | 54.5893 | − | 29.8080i | 0.127844 | − | 0.0698080i | ||||
\(428\) | −250.765 | + | 93.5304i | −0.585899 | + | 0.218529i | ||||
\(429\) | −151.703 | + | 236.055i | −0.353620 | + | 0.550244i | ||||
\(430\) | −58.1428 | − | 293.994i | −0.135216 | − | 0.683708i | ||||
\(431\) | 2.74859 | − | 19.1168i | 0.00637723 | − | 0.0443546i | −0.986384 | − | 0.164456i | \(-0.947413\pi\) |
0.992762 | + | 0.120102i | \(0.0383221\pi\) | |||||||
\(432\) | −61.1618 | − | 22.8122i | −0.141578 | − | 0.0528060i | ||||
\(433\) | −327.020 | + | 436.847i | −0.755241 | + | 1.00888i | 0.243994 | + | 0.969777i | \(0.421542\pi\) |
−0.999235 | + | 0.0391076i | \(0.987548\pi\) | |||||||
\(434\) | −221.848 | − | 345.202i | −0.511170 | − | 0.795396i | ||||
\(435\) | −195.092 | − | 3.69754i | −0.448488 | − | 0.00850009i | ||||
\(436\) | 318.928 | 0.731486 | ||||||||
\(437\) | −0.962435 | + | 364.423i | −0.00220237 | + | 0.833919i | ||||
\(438\) | 75.1481 | + | 75.1481i | 0.171571 | + | 0.171571i | ||||
\(439\) | −85.4176 | − | 74.0148i | −0.194573 | − | 0.168599i | 0.552126 | − | 0.833761i | \(-0.313817\pi\) |
−0.746699 | + | 0.665162i | \(0.768362\pi\) | |||||||
\(440\) | 53.6593 | − | 170.711i | 0.121953 | − | 0.387980i | ||||
\(441\) | 39.6931 | + | 276.071i | 0.0900070 | + | 0.626012i | ||||
\(442\) | 124.124 | + | 46.2960i | 0.280824 | + | 0.104742i | ||||
\(443\) | 158.773 | − | 118.856i | 0.358405 | − | 0.268298i | −0.404868 | − | 0.914375i | \(-0.632682\pi\) |
0.763272 | + | 0.646077i | \(0.223591\pi\) | |||||||
\(444\) | 1.32152 | + | 4.50067i | 0.00297639 | + | 0.0101367i | ||||
\(445\) | −351.525 | − | 273.694i | −0.789944 | − | 0.615042i | ||||
\(446\) | −96.2640 | + | 210.789i | −0.215839 | + | 0.472621i | ||||
\(447\) | −145.142 | + | 79.2535i | −0.324702 | + | 0.177301i | ||||
\(448\) | 5.21461 | − | 72.9098i | 0.0116398 | − | 0.162745i | ||||
\(449\) | 542.012 | − | 469.656i | 1.20715 | − | 1.04601i | 0.209482 | − | 0.977812i | \(-0.432822\pi\) |
0.997672 | − | 0.0681926i | \(-0.0217232\pi\) | |||||||
\(450\) | −89.7059 | − | 271.516i | −0.199346 | − | 0.603369i | ||||
\(451\) | 306.985 | − | 672.204i | 0.680677 | − | 1.49048i | ||||
\(452\) | −195.691 | + | 42.5699i | −0.432944 | + | 0.0941812i | ||||
\(453\) | −9.97322 | − | 5.44579i | −0.0220159 | − | 0.0120216i | ||||
\(454\) | 195.627 | + | 28.1269i | 0.430896 | + | 0.0619535i | ||||
\(455\) | −1000.77 | + | 351.815i | −2.19950 | + | 0.773219i | ||||
\(456\) | −6.09101 | − | 42.3639i | −0.0133575 | − | 0.0929032i | ||||
\(457\) | 56.2950 | − | 258.784i | 0.123184 | − | 0.566267i | −0.873636 | − | 0.486580i | \(-0.838244\pi\) |
0.996820 | − | 0.0796872i | \(-0.0253921\pi\) | |||||||
\(458\) | −64.4520 | + | 4.60970i | −0.140725 | + | 0.0100648i | ||||
\(459\) | 65.8363i | 0.143434i | ||||||||
\(460\) | −75.7055 | − | 217.184i | −0.164577 | − | 0.472138i | ||||
\(461\) | 799.205 | 1.73363 | 0.866817 | − | 0.498627i | \(-0.166162\pi\) | ||||
0.866817 | + | 0.498627i | \(0.166162\pi\) | |||||||
\(462\) | −11.1396 | − | 155.751i | −0.0241116 | − | 0.337124i | ||||
\(463\) | 172.608 | + | 37.5485i | 0.372803 | + | 0.0810983i | 0.395063 | − | 0.918654i | \(-0.370723\pi\) |
−0.0222605 | + | 0.999752i | \(0.507086\pi\) | |||||||
\(464\) | −161.789 | + | 23.2618i | −0.348684 | + | 0.0501331i | ||||
\(465\) | 136.718 | + | 65.5958i | 0.294016 | + | 0.141066i | ||||
\(466\) | 79.9476 | − | 556.048i | 0.171561 | − | 1.19324i | ||||
\(467\) | −109.679 | + | 200.862i | −0.234859 | + | 0.430112i | −0.968353 | − | 0.249583i | \(-0.919706\pi\) |
0.733494 | + | 0.679696i | \(0.237888\pi\) | |||||||
\(468\) | 79.8407 | + | 367.022i | 0.170600 | + | 0.784234i | ||||
\(469\) | −271.667 | − | 124.066i | −0.579246 | − | 0.264533i | ||||
\(470\) | 482.126 | + | 190.307i | 1.02580 | + | 0.404908i | ||||
\(471\) | −84.3198 | − | 97.3103i | −0.179023 | − | 0.206604i | ||||
\(472\) | −226.278 | − | 16.1837i | −0.479403 | − | 0.0342875i | ||||
\(473\) | −257.012 | − | 470.682i | −0.543365 | − | 0.995099i | ||||
\(474\) | −52.2705 | − | 23.8711i | −0.110275 | − | 0.0503611i | ||||
\(475\) | 270.556 | − | 289.318i | 0.569591 | − | 0.609091i | ||||
\(476\) | −70.7353 | + | 20.7698i | −0.148604 | + | 0.0436340i | ||||
\(477\) | −251.215 | − | 335.584i | −0.526656 | − | 0.703530i | ||||
\(478\) | −88.4439 | + | 237.127i | −0.185029 | + | 0.496082i | ||||
\(479\) | 872.703 | − | 125.476i | 1.82193 | − | 0.261954i | 0.855299 | − | 0.518135i | \(-0.173373\pi\) |
0.966629 | + | 0.256181i | \(0.0824643\pi\) | |||||||
\(480\) | 12.4940 | + | 23.9491i | 0.0260291 | + | 0.0498939i | ||||
\(481\) | 37.3426 | − | 43.0956i | 0.0776353 | − | 0.0895959i | ||||
\(482\) | 312.510 | − | 312.510i | 0.648360 | − | 0.648360i | ||||
\(483\) | −131.029 | − | 152.025i | −0.271282 | − | 0.314752i | ||||
\(484\) | − | 78.2157i | − | 0.161603i | ||||||
\(485\) | 322.784 | + | 6.11765i | 0.665533 | + | 0.0126137i | ||||
\(486\) | −239.736 | + | 154.069i | −0.493284 | + | 0.317015i | ||||
\(487\) | 62.9358 | + | 47.1132i | 0.129232 | + | 0.0967416i | 0.661938 | − | 0.749558i | \(-0.269734\pi\) |
−0.532707 | + | 0.846300i | \(0.678825\pi\) | |||||||
\(488\) | −6.72846 | + | 18.0397i | −0.0137878 | + | 0.0369666i | ||||
\(489\) | −38.7659 | − | 5.57369i | −0.0792758 | − | 0.0113981i | ||||
\(490\) | 135.696 | − | 202.600i | 0.276930 | − | 0.413469i | ||||
\(491\) | −417.604 | − | 268.378i | −0.850518 | − | 0.546595i | 0.0412181 | − | 0.999150i | \(-0.486876\pi\) |
−0.891736 | + | 0.452555i | \(0.850513\pi\) | |||||||
\(492\) | 38.9831 | + | 104.518i | 0.0792340 | + | 0.212435i | ||||
\(493\) | 79.0051 | + | 144.687i | 0.160254 | + | 0.293483i | ||||
\(494\) | −393.221 | + | 340.728i | −0.795993 | + | 0.689732i | ||||
\(495\) | −298.832 | − | 415.372i | −0.603700 | − | 0.839136i | ||||
\(496\) | 121.879 | + | 35.7869i | 0.245724 | + | 0.0721511i | ||||
\(497\) | 102.762 | + | 275.516i | 0.206765 | + | 0.554358i | ||||
\(498\) | 24.2713 | + | 111.573i | 0.0487375 | + | 0.224043i | ||||
\(499\) | 31.6096 | + | 107.652i | 0.0633459 | + | 0.215736i | 0.985083 | − | 0.172078i | \(-0.0550482\pi\) |
−0.921737 | + | 0.387815i | \(0.873230\pi\) | |||||||
\(500\) | −100.534 | + | 228.895i | −0.201069 | + | 0.457790i | ||||
\(501\) | 119.839 | + | 262.412i | 0.239200 | + | 0.523776i | ||||
\(502\) | 177.803 | + | 133.102i | 0.354190 | + | 0.265143i | ||||
\(503\) | −664.777 | − | 144.613i | −1.32162 | − | 0.287502i | −0.504224 | − | 0.863573i | \(-0.668221\pi\) |
−0.817400 | + | 0.576071i | \(0.804585\pi\) | |||||||
\(504\) | −157.966 | − | 136.878i | −0.313425 | − | 0.271584i | ||||
\(505\) | −43.4031 | + | 479.079i | −0.0859467 | + | 0.948671i | ||||
\(506\) | −245.777 | − | 330.133i | −0.485725 | − | 0.652437i | ||||
\(507\) | −249.980 | + | 249.980i | −0.493058 | + | 0.493058i | ||||
\(508\) | 276.519 | − | 19.7771i | 0.544330 | − | 0.0389312i | ||||
\(509\) | 172.078 | + | 267.759i | 0.338072 | + | 0.526050i | 0.968114 | − | 0.250511i | \(-0.0805987\pi\) |
−0.630042 | + | 0.776561i | \(0.716962\pi\) | |||||||
\(510\) | 18.2276 | − | 20.2474i | 0.0357403 | − | 0.0397008i | ||||
\(511\) | 298.668 | + | 653.992i | 0.584478 | + | 1.27983i | ||||
\(512\) | 13.5601 | + | 18.1142i | 0.0264846 | + | 0.0353793i | ||||
\(513\) | −226.944 | − | 123.921i | −0.442386 | − | 0.241561i | ||||
\(514\) | −249.468 | + | 388.180i | −0.485347 | + | 0.755214i | ||||
\(515\) | −147.258 | − | 539.104i | −0.285938 | − | 1.04680i | ||||
\(516\) | 77.6733 | + | 22.8070i | 0.150530 | + | 0.0441995i | ||||
\(517\) | 925.160 | + | 66.1687i | 1.78948 | + | 0.127986i | ||||
\(518\) | −2.26380 | + | 31.6520i | −0.00437027 | + | 0.0611043i | ||||
\(519\) | 13.0578 | − | 44.4707i | 0.0251595 | − | 0.0856853i | ||||
\(520\) | 162.810 | − | 285.180i | 0.313096 | − | 0.548423i | ||||
\(521\) | −789.569 | − | 507.426i | −1.51549 | − | 0.973945i | −0.992585 | − | 0.121553i | \(-0.961212\pi\) |
−0.522904 | − | 0.852392i | \(-0.675151\pi\) | |||||||
\(522\) | −223.999 | + | 410.224i | −0.429117 | + | 0.785869i | ||||
\(523\) | −472.469 | + | 353.686i | −0.903383 | + | 0.676264i | −0.946465 | − | 0.322807i | \(-0.895373\pi\) |
0.0430816 | + | 0.999072i | \(0.486282\pi\) | |||||||
\(524\) | 62.2106 | − | 28.4106i | 0.118723 | − | 0.0542188i | ||||
\(525\) | −8.26620 | + | 217.995i | −0.0157451 | + | 0.415229i | ||||
\(526\) | 77.0794 | − | 49.5359i | 0.146539 | − | 0.0941747i | ||||
\(527\) | −9.13937 | − | 127.785i | −0.0173423 | − | 0.242477i | ||||
\(528\) | 34.1795 | + | 34.1795i | 0.0647340 | + | 0.0647340i | ||||
\(529\) | −506.778 | − | 151.715i | −0.957991 | − | 0.286797i | ||||
\(530\) | −33.0677 | + | 364.998i | −0.0623919 | + | 0.688675i | ||||
\(531\) | −424.807 | + | 490.253i | −0.800013 | + | 0.923264i | ||||
\(532\) | 61.5467 | − | 282.926i | 0.115689 | − | 0.531815i | ||||
\(533\) | 812.684 | − | 1085.62i | 1.52474 | − | 2.03681i | ||||
\(534\) | 109.467 | − | 49.9918i | 0.204994 | − | 0.0936175i | ||||
\(535\) | 569.635 | − | 351.011i | 1.06474 | − | 0.656095i | ||||
\(536\) | 88.7061 | − | 26.0465i | 0.165496 | − | 0.0485942i | ||||
\(537\) | −161.424 | + | 35.1156i | −0.300603 | + | 0.0653922i | ||||
\(538\) | 119.118 | − | 44.4289i | 0.221410 | − | 0.0825815i | ||||
\(539\) | 122.934 | − | 418.674i | 0.228077 | − | 0.776760i | ||||
\(540\) | 161.064 | + | 26.2817i | 0.298266 | + | 0.0486698i | ||||
\(541\) | 27.7419 | + | 32.0158i | 0.0512788 | + | 0.0591789i | 0.780810 | − | 0.624769i | \(-0.214807\pi\) |
−0.729531 | + | 0.683948i | \(0.760261\pi\) | |||||||
\(542\) | 86.8720 | − | 47.4357i | 0.160280 | − | 0.0875197i | ||||
\(543\) | 287.877 | − | 107.372i | 0.530159 | − | 0.197739i | ||||
\(544\) | 12.3380 | − | 19.1983i | 0.0226801 | − | 0.0352910i | ||||
\(545\) | −782.170 | + | 154.689i | −1.43517 | + | 0.283832i | ||||
\(546\) | 40.7801 | − | 283.632i | 0.0746888 | − | 0.519472i | ||||
\(547\) | −447.255 | − | 166.818i | −0.817651 | − | 0.304968i | −0.0943833 | − | 0.995536i | \(-0.530088\pi\) |
−0.723268 | + | 0.690568i | \(0.757361\pi\) | |||||||
\(548\) | 43.8457 | − | 58.5711i | 0.0800105 | − | 0.106881i | ||||
\(549\) | 29.7656 | + | 46.3161i | 0.0542178 | + | 0.0843646i | ||||
\(550\) | −48.8000 | + | 444.695i | −0.0887273 | + | 0.808536i | ||||
\(551\) | −647.458 | −1.17506 | ||||||||
\(552\) | 61.4721 | + | 9.00412i | 0.111363 | + | 0.0163118i | ||||
\(553\) | −274.884 | − | 274.884i | −0.497078 | − | 0.497078i | ||||
\(554\) | −388.793 | − | 336.891i | −0.701793 | − | 0.608107i | ||||
\(555\) | −5.42397 | − | 10.3969i | −0.00977291 | − | 0.0187332i | ||||
\(556\) | −46.8161 | − | 325.613i | −0.0842015 | − | 0.585635i | ||||
\(557\) | −537.743 | − | 200.568i | −0.965427 | − | 0.360086i | −0.183197 | − | 0.983076i | \(-0.558645\pi\) |
−0.782229 | + | 0.622991i | \(0.785917\pi\) | |||||||
\(558\) | 290.779 | − | 217.675i | 0.521110 | − | 0.390098i | ||||
\(559\) | −277.260 | − | 944.260i | −0.495993 | − | 1.68920i | ||||
\(560\) | 22.5744 | + | 181.340i | 0.0403114 | + | 0.323822i | ||||
\(561\) | 20.2518 | − | 44.3453i | 0.0360995 | − | 0.0790469i | ||||
\(562\) | 539.463 | − | 294.569i | 0.959898 | − | 0.524144i | ||||
\(563\) | 18.8087 | − | 262.980i | 0.0334080 | − | 0.467105i | −0.953020 | − | 0.302909i | \(-0.902042\pi\) |
0.986428 | − | 0.164197i | \(-0.0525031\pi\) | |||||||
\(564\) | −105.814 | + | 91.6879i | −0.187613 | + | 0.162567i | ||||
\(565\) | 459.283 | − | 199.318i | 0.812891 | − | 0.352775i | ||||
\(566\) | −234.220 | + | 512.870i | −0.413816 | + | 0.906131i | ||||
\(567\) | −510.745 | + | 111.106i | −0.900785 | + | 0.195954i | ||||
\(568\) | −79.8928 | − | 43.6248i | −0.140656 | − | 0.0768042i | ||||
\(569\) | 657.697 | + | 94.5626i | 1.15588 | + | 0.166191i | 0.693478 | − | 0.720478i | \(-0.256078\pi\) |
0.462405 | + | 0.886669i | \(0.346987\pi\) | |||||||
\(570\) | 35.4858 | + | 100.943i | 0.0622558 | + | 0.177093i | ||||
\(571\) | −12.0206 | − | 83.6052i | −0.0210519 | − | 0.146419i | 0.976584 | − | 0.215135i | \(-0.0690190\pi\) |
−0.997636 | + | 0.0687156i | \(0.978110\pi\) | |||||||
\(572\) | 124.909 | − | 574.197i | 0.218372 | − | 1.00384i | ||||
\(573\) | 135.109 | − | 9.66319i | 0.235792 | − | 0.0168642i | ||||
\(574\) | 754.654i | 1.31473i | ||||||||
\(575\) | 291.007 | + | 495.923i | 0.506100 | + | 0.862475i | ||||
\(576\) | 64.7034 | 0.112332 | ||||||||
\(577\) | 1.85736 | + | 25.9694i | 0.00321900 | + | 0.0450075i | 0.998808 | − | 0.0488173i | \(-0.0155452\pi\) |
−0.995589 | + | 0.0938248i | \(0.970091\pi\) | |||||||
\(578\) | 376.877 | + | 81.9846i | 0.652036 | + | 0.141842i | ||||
\(579\) | −218.695 | + | 31.4436i | −0.377712 | + | 0.0543067i | ||||
\(580\) | 385.505 | − | 135.522i | 0.664664 | − | 0.233658i | ||||
\(581\) | −109.932 | + | 764.594i | −0.189212 | + | 1.31600i | ||||
\(582\) | −41.7937 | + | 76.5394i | −0.0718105 | + | 0.131511i | ||||
\(583\) | 139.405 | + | 640.835i | 0.239117 | + | 1.09920i | ||||
\(584\) | −202.448 | − | 92.4550i | −0.346658 | − | 0.158313i | ||||
\(585\) | −373.824 | − | 861.395i | −0.639016 | − | 1.47247i | ||||
\(586\) | −103.578 | − | 119.535i | −0.176754 | − | 0.203985i | ||||
\(587\) | −500.857 | − | 35.8220i | −0.853250 | − | 0.0610256i | −0.362140 | − | 0.932124i | \(-0.617954\pi\) |
−0.491109 | + | 0.871098i | \(0.663408\pi\) | |||||||
\(588\) | 31.5670 | + | 57.8107i | 0.0536854 | + | 0.0983175i | ||||
\(589\) | 457.691 | + | 209.020i | 0.777064 | + | 0.354873i | ||||
\(590\) | 562.796 | − | 70.0604i | 0.953892 | − | 0.118746i | ||||
\(591\) | 96.0766 | − | 28.2106i | 0.162566 | − | 0.0477337i | ||||
\(592\) | −5.88680 | − | 7.86384i | −0.00994391 | − | 0.0132835i | ||||
\(593\) | 240.134 | − | 643.824i | 0.404948 | − | 1.08571i | −0.561192 | − | 0.827686i | \(-0.689657\pi\) |
0.966139 | − | 0.258021i | \(-0.0830702\pi\) | |||||||
\(594\) | 289.056 | − | 41.5600i | 0.486627 | − | 0.0699664i | ||||
\(595\) | 163.404 | − | 85.2464i | 0.274629 | − | 0.143271i | ||||
\(596\) | 226.789 | − | 261.728i | 0.380518 | − | 0.439141i | ||||
\(597\) | 238.441 | − | 238.441i | 0.399398 | − | 0.399398i | ||||
\(598\) | −311.939 | − | 687.852i | −0.521637 | − | 1.15025i | ||||
\(599\) | 475.856i | 0.794418i | 0.917728 | + | 0.397209i | \(0.130021\pi\) | ||||
−0.917728 | + | 0.397209i | \(0.869979\pi\) | |||||||
\(600\) | −42.2574 | − | 52.6752i | −0.0704291 | − | 0.0877920i | ||||
\(601\) | −226.916 | + | 145.830i | −0.377565 | + | 0.242646i | −0.715635 | − | 0.698475i | \(-0.753862\pi\) |
0.338070 | + | 0.941121i | \(0.390226\pi\) | |||||||
\(602\) | 438.417 | + | 328.195i | 0.728268 | + | 0.545175i | ||||
\(603\) | 92.3861 | − | 247.697i | 0.153211 | − | 0.410774i | ||||
\(604\) | 23.5544 | + | 3.38661i | 0.0389973 | + | 0.00560697i | ||||
\(605\) | 37.9367 | + | 191.824i | 0.0627054 | + | 0.317064i | ||||
\(606\) | −109.312 | − | 70.2507i | −0.180383 | − | 0.115925i | ||||
\(607\) | −128.659 | − | 344.948i | −0.211958 | − | 0.568283i | 0.786847 | − | 0.617148i | \(-0.211712\pi\) |
−0.998805 | + | 0.0488656i | \(0.984439\pi\) | |||||||
\(608\) | 42.9551 | + | 78.6665i | 0.0706499 | + | 0.129386i | ||||
\(609\) | 269.482 | − | 233.507i | 0.442499 | − | 0.383427i | ||||
\(610\) | 7.75180 | − | 47.5059i | 0.0127079 | − | 0.0778785i | ||||
\(611\) | 1633.15 | + | 479.535i | 2.67291 | + | 0.784836i | ||||
\(612\) | −22.8050 | − | 61.1427i | −0.0372631 | − | 0.0999063i | ||||
\(613\) | −94.4617 | − | 434.233i | −0.154097 | − | 0.708374i | −0.987745 | − | 0.156077i | \(-0.950115\pi\) |
0.833648 | − | 0.552297i | \(-0.186248\pi\) | |||||||
\(614\) | −197.952 | − | 674.162i | −0.322397 | − | 1.09798i | ||||
\(615\) | −146.300 | − | 237.422i | −0.237886 | − | 0.386052i | ||||
\(616\) | 135.843 | + | 297.455i | 0.220524 | + | 0.482881i | ||||
\(617\) | 749.284 | + | 560.907i | 1.21440 | + | 0.909087i | 0.997742 | − | 0.0671609i | \(-0.0213941\pi\) |
0.216656 | + | 0.976248i | \(0.430485\pi\) | |||||||
\(618\) | 147.509 | + | 32.0886i | 0.238688 | + | 0.0519233i | ||||
\(619\) | −228.199 | − | 197.735i | −0.368657 | − | 0.319443i | 0.450756 | − | 0.892647i | \(-0.351155\pi\) |
−0.819412 | + | 0.573205i | \(0.805700\pi\) | |||||||
\(620\) | −316.266 | − | 28.6527i | −0.510106 | − | 0.0462141i | ||||
\(621\) | 266.110 | − | 264.708i | 0.428518 | − | 0.426261i | ||||
\(622\) | 57.8141 | − | 57.8141i | 0.0929487 | − | 0.0929487i | ||||
\(623\) | 812.049 | − | 58.0789i | 1.30345 | − | 0.0932245i | ||||
\(624\) | 47.9566 | + | 74.6219i | 0.0768535 | + | 0.119586i | ||||
\(625\) | 135.541 | − | 610.126i | 0.216865 | − | 0.976202i | ||||
\(626\) | −21.7397 | − | 47.6034i | −0.0347280 | − | 0.0760437i | ||||
\(627\) | 114.744 | + | 153.279i | 0.183004 | + | 0.244465i | ||||
\(628\) | 236.664 | + | 129.228i | 0.376853 | + | 0.205777i | ||||
\(629\) | −5.35625 | + | 8.33449i | −0.00851550 | + | 0.0132504i | ||||
\(630\) | 453.801 | + | 259.076i | 0.720319 | + | 0.411232i | ||||
\(631\) | 65.4746 | + | 19.2251i | 0.103763 | + | 0.0304676i | 0.333202 | − | 0.942855i | \(-0.391871\pi\) |
−0.229439 | + | 0.973323i | \(0.573689\pi\) | |||||||
\(632\) | 120.032 | + | 8.58488i | 0.189925 | + | 0.0135837i | ||||
\(633\) | −10.1729 | + | 142.236i | −0.0160710 | + | 0.224701i | ||||
\(634\) | −95.2130 | + | 324.266i | −0.150178 | + | 0.511460i | ||||
\(635\) | −668.571 | + | 182.623i | −1.05287 | + | 0.287595i | ||||
\(636\) | −83.2822 | − | 53.5222i | −0.130947 | − | 0.0841544i | ||||
\(637\) | 383.754 | − | 702.794i | 0.602440 | − | 1.10329i | ||||
\(638\) | 585.380 | − | 438.210i | 0.917523 | − | 0.686849i | ||||
\(639\) | −236.772 | + | 108.130i | −0.370535 | + | 0.169218i | ||||
\(640\) | −42.0420 | − | 37.8480i | −0.0656906 | − | 0.0591375i | ||||
\(641\) | −740.322 | + | 475.776i | −1.15495 | + | 0.742240i | −0.970618 | − | 0.240624i | \(-0.922648\pi\) |
−0.184330 | + | 0.982864i | \(0.559012\pi\) | |||||||
\(642\) | 12.8937 | + | 180.278i | 0.0200837 | + | 0.280806i | ||||
\(643\) | −427.344 | − | 427.344i | −0.664610 | − | 0.664610i | 0.291853 | − | 0.956463i | \(-0.405728\pi\) |
−0.956463 | + | 0.291853i | \(0.905728\pi\) | |||||||
\(644\) | 368.357 | + | 202.403i | 0.571983 | + | 0.314290i | ||||
\(645\) | −201.556 | − | 18.2603i | −0.312490 | − | 0.0283106i | ||||
\(646\) | 59.1976 | − | 68.3176i | 0.0916371 | − | 0.105755i | ||||
\(647\) | −169.609 | + | 779.681i | −0.262147 | + | 1.20507i | 0.638190 | + | 0.769879i | \(0.279683\pi\) |
−0.900337 | + | 0.435193i | \(0.856680\pi\) | |||||||
\(648\) | 96.9648 | − | 129.530i | 0.149637 | − | 0.199892i | ||||
\(649\) | 923.161 | − | 421.593i | 1.42244 | − | 0.649605i | ||||
\(650\) | −260.971 | + | 778.371i | −0.401494 | + | 1.19749i | ||||
\(651\) | −265.881 | + | 78.0698i | −0.408420 | + | 0.119923i | ||||
\(652\) | 80.1434 | − | 17.4341i | 0.122919 | − | 0.0267395i | ||||
\(653\) | −791.119 | + | 295.072i | −1.21151 | + | 0.451872i | −0.872362 | − | 0.488860i | \(-0.837413\pi\) |
−0.339152 | + | 0.940731i | \(0.610140\pi\) | |||||||
\(654\) | 60.6777 | − | 206.649i | 0.0927794 | − | 0.315978i | ||||
\(655\) | −138.792 | + | 99.8509i | −0.211895 | + | 0.152444i | ||||
\(656\) | −152.981 | − | 176.550i | −0.233203 | − | 0.269131i | ||||
\(657\) | −558.568 | + | 305.001i | −0.850180 | + | 0.464233i | ||||
\(658\) | −887.469 | + | 331.009i | −1.34874 | + | 0.503053i | ||||
\(659\) | 104.401 | − | 162.451i | 0.158423 | − | 0.246511i | −0.752964 | − | 0.658062i | \(-0.771376\pi\) |
0.911387 | + | 0.411551i | \(0.135013\pi\) | |||||||
\(660\) | −100.403 | − | 67.2473i | −0.152126 | − | 0.101890i | ||||
\(661\) | 110.678 | − | 769.784i | 0.167441 | − | 1.16457i | −0.716710 | − | 0.697372i | \(-0.754353\pi\) |
0.884150 | − | 0.467203i | \(-0.154738\pi\) | |||||||
\(662\) | −269.099 | − | 100.369i | −0.406494 | − | 0.151614i | ||||
\(663\) | 53.6128 | − | 71.6183i | 0.0808640 | − | 0.108022i | ||||
\(664\) | −129.278 | − | 201.160i | −0.194696 | − | 0.302952i | ||||
\(665\) | −13.7166 | + | 723.727i | −0.0206265 | + | 1.08831i | ||||
\(666\) | −28.0894 | −0.0421763 | ||||||||
\(667\) | 267.168 | − | 901.081i | 0.400552 | − | 1.35095i | ||||
\(668\) | −427.186 | − | 427.186i | −0.639501 | − | 0.639501i | ||||
\(669\) | 118.266 | + | 102.478i | 0.176780 | + | 0.153181i | ||||
\(670\) | −204.918 | + | 106.904i | −0.305848 | + | 0.159558i | ||||
\(671\) | −12.2581 | − | 85.2573i | −0.0182685 | − | 0.127060i | ||||
\(672\) | −46.2498 | − | 17.2503i | −0.0688241 | − | 0.0256701i | ||||
\(673\) | −45.8550 | + | 34.3266i | −0.0681352 | + | 0.0510053i | −0.632802 | − | 0.774313i | \(-0.718095\pi\) |
0.564667 | + | 0.825319i | \(0.309005\pi\) | |||||||
\(674\) | 207.646 | + | 707.176i | 0.308080 | + | 1.04922i | ||||
\(675\) | −407.756 | + | 13.6645i | −0.604083 | + | 0.0202436i | ||||
\(676\) | 307.552 | − | 673.445i | 0.454958 | − | 0.996220i | ||||
\(677\) | 678.707 | − | 370.602i | 1.00252 | − | 0.547418i | 0.107862 | − | 0.994166i | \(-0.465600\pi\) |
0.894660 | + | 0.446748i | \(0.147418\pi\) | |||||||
\(678\) | −9.64802 | + | 134.897i | −0.0142301 | + | 0.198963i | ||||
\(679\) | −445.863 | + | 386.342i | −0.656646 | + | 0.568987i | ||||
\(680\) | −20.9472 | + | 53.0681i | −0.0308048 | + | 0.0780413i | ||||
\(681\) | 55.4438 | − | 121.405i | 0.0814153 | − | 0.178275i | ||||
\(682\) | −555.276 | + | 120.793i | −0.814187 | + | 0.177116i | ||||
\(683\) | 149.691 | + | 81.7377i | 0.219168 | + | 0.119675i | 0.585083 | − | 0.810974i | \(-0.301062\pi\) |
−0.365915 | + | 0.930648i | \(0.619244\pi\) | |||||||
\(684\) | 253.690 | + | 36.4751i | 0.370892 | + | 0.0533262i | ||||
\(685\) | −79.1231 | + | 164.912i | −0.115508 | + | 0.240747i | ||||
\(686\) | −26.6927 | − | 185.652i | −0.0389106 | − | 0.270629i | ||||
\(687\) | −9.27548 | + | 42.6387i | −0.0135014 | + | 0.0620651i | ||||
\(688\) | −169.098 | + | 12.0941i | −0.245781 | + | 0.0175786i | ||||
\(689\) | 1203.50i | 1.74673i | ||||||||
\(690\) | −155.127 | + | 7.73304i | −0.224822 | + | 0.0112073i | ||||
\(691\) | 80.5746 | 0.116606 | 0.0583029 | − | 0.998299i | \(-0.481431\pi\) | ||||
0.0583029 | + | 0.998299i | \(0.481431\pi\) | |||||||
\(692\) | 6.92429 | + | 96.8142i | 0.0100062 | + | 0.139905i | ||||
\(693\) | 913.707 | + | 198.765i | 1.31848 | + | 0.286818i | ||||
\(694\) | −709.520 | + | 102.014i | −1.02236 | + | 0.146994i | ||||
\(695\) | 272.747 | + | 775.858i | 0.392442 | + | 1.11634i | ||||
\(696\) | −15.7088 | + | 109.257i | −0.0225701 | + | 0.156979i | ||||
\(697\) | −112.915 | + | 206.788i | −0.162001 | + | 0.296683i | ||||
\(698\) | 170.959 | + | 785.887i | 0.244927 | + | 1.12591i | ||||
\(699\) | −345.081 | − | 157.593i | −0.493678 | − | 0.225455i | ||||
\(700\) | −143.319 | − | 433.788i | −0.204741 | − | 0.619697i | ||||
\(701\) | −275.337 | − | 317.755i | −0.392777 | − | 0.453289i | 0.524576 | − | 0.851364i | \(-0.324224\pi\) |
−0.917353 | + | 0.398075i | \(0.869678\pi\) | |||||||
\(702\) | 534.535 | + | 38.2307i | 0.761445 | + | 0.0544596i | ||||
\(703\) | −18.6479 | − | 34.1512i | −0.0265262 | − | 0.0485792i | ||||
\(704\) | −92.0793 | − | 42.0512i | −0.130794 | − | 0.0597318i | ||||
\(705\) | 215.036 | − | 276.187i | 0.305016 | − | 0.391755i | ||||
\(706\) | 382.498 | − | 112.312i | 0.541782 | − | 0.159081i | ||||
\(707\) | −526.797 | − | 703.719i | −0.745117 | − | 0.995359i | ||||
\(708\) | −53.5369 | + | 143.538i | −0.0756170 | + | 0.202737i | ||||
\(709\) | 308.222 | − | 44.3156i | 0.434728 | − | 0.0625044i | 0.0785228 | − | 0.996912i | \(-0.474980\pi\) |
0.356205 | + | 0.934408i | \(0.384071\pi\) | |||||||
\(710\) | 217.096 | + | 68.2395i | 0.305769 | + | 0.0961120i | ||||
\(711\) | 225.345 | − | 260.062i | 0.316940 | − | 0.365769i | ||||
\(712\) | −178.204 | + | 178.204i | −0.250286 | + | 0.250286i | ||||
\(713\) | −479.760 | + | 550.727i | −0.672876 | + | 0.772409i | ||||
\(714\) | 49.7845i | 0.0697262i | ||||||||
\(715\) | −27.8379 | + | 1468.80i | −0.0389341 | + | 2.05427i | ||||
\(716\) | 291.038 | − | 187.039i | 0.406478 | − | 0.261227i | ||||
\(717\) | 136.820 | + | 102.422i | 0.190823 | + | 0.142848i | ||||
\(718\) | 36.8478 | − | 98.7927i | 0.0513200 | − | 0.137594i | ||||
\(719\) | −333.750 | − | 47.9859i | −0.464186 | − | 0.0667398i | −0.0937456 | − | 0.995596i | \(-0.529884\pi\) |
−0.370440 | + | 0.928856i | \(0.620793\pi\) | |||||||
\(720\) | −158.685 | + | 31.3829i | −0.220396 | + | 0.0435874i | ||||
\(721\) | 859.131 | + | 552.130i | 1.19158 | + | 0.765784i | ||||
\(722\) | −54.3398 | − | 145.691i | −0.0752629 | − | 0.201788i | ||||
\(723\) | −143.034 | − | 261.947i | −0.197834 | − | 0.362306i | ||||
\(724\) | −486.276 | + | 421.361i | −0.671652 | + | 0.581990i | ||||
\(725\) | −879.719 | + | 519.347i | −1.21341 | + | 0.716341i | ||||
\(726\) | −50.6799 | − | 14.8810i | −0.0698070 | − | 0.0204972i | ||||
\(727\) | −92.3075 | − | 247.486i | −0.126970 | − | 0.340421i | 0.857874 | − | 0.513860i | \(-0.171785\pi\) |
−0.984845 | + | 0.173439i | \(0.944512\pi\) | |||||||
\(728\) | 127.557 | + | 586.372i | 0.175216 | + | 0.805456i | ||||
\(729\) | −90.8329 | − | 309.348i | −0.124599 | − | 0.424346i | ||||
\(730\) | 541.347 | + | 128.553i | 0.741571 | + | 0.176100i | ||||
\(731\) | 71.0278 | + | 155.529i | 0.0971653 | + | 0.212762i | ||||
\(732\) | 10.4087 | + | 7.79186i | 0.0142195 | + | 0.0106446i | ||||
\(733\) | 657.197 | + | 142.965i | 0.896586 | + | 0.195040i | 0.637168 | − | 0.770725i | \(-0.280106\pi\) |
0.259418 | + | 0.965765i | \(0.416469\pi\) | |||||||
\(734\) | −579.533 | − | 502.168i | −0.789555 | − | 0.684153i | ||||
\(735\) | −105.458 | − | 126.470i | −0.143480 | − | 0.172068i | ||||
\(736\) | −127.207 | + | 27.3205i | −0.172835 | + | 0.0371203i | ||||
\(737\) | −292.454 | + | 292.454i | −0.396817 | + | 0.396817i | ||||
\(738\) | −666.306 | + | 47.6551i | −0.902853 | + | 0.0645733i | ||||
\(739\) | −574.143 | − | 893.384i | −0.776919 | − | 1.20891i | −0.973560 | − | 0.228434i | \(-0.926640\pi\) |
0.196641 | − | 0.980476i | \(-0.436997\pi\) | |||||||
\(740\) | 18.2515 | + | 16.4308i | 0.0246642 | + | 0.0222038i | ||||
\(741\) | 145.962 | + | 319.613i | 0.196980 | + | 0.431326i | ||||
\(742\) | −401.354 | − | 536.146i | −0.540908 | − | 0.722568i | ||||
\(743\) | 434.704 | + | 237.366i | 0.585065 | + | 0.319470i | 0.744378 | − | 0.667758i | \(-0.232746\pi\) |
−0.159313 | + | 0.987228i | \(0.550928\pi\) | |||||||
\(744\) | 46.3763 | − | 72.1629i | 0.0623337 | − | 0.0969932i | ||||
\(745\) | −429.254 | + | 751.886i | −0.576179 | + | 1.00924i | ||||
\(746\) | 300.700 | + | 88.2936i | 0.403084 | + | 0.118356i | ||||
\(747\) | −682.024 | − | 48.7793i | −0.913017 | − | 0.0653003i | ||||
\(748\) | −7.28325 | + | 101.833i | −0.00973697 | + | 0.136141i | ||||
\(749\) | −344.477 | + | 1173.18i | −0.459916 | + | 1.56633i | ||||
\(750\) | 129.185 | + | 108.690i | 0.172247 | + | 0.144920i | ||||
\(751\) | −547.082 | − | 351.588i | −0.728472 | − | 0.468160i | 0.123103 | − | 0.992394i | \(-0.460715\pi\) |
−0.851574 | + | 0.524234i | \(0.824352\pi\) | |||||||
\(752\) | 140.520 | − | 257.344i | 0.186862 | − | 0.342213i | ||||
\(753\) | 120.072 | − | 89.8844i | 0.159458 | − | 0.119368i | ||||
\(754\) | 1220.61 | − | 557.435i | 1.61885 | − | 0.739304i | ||||
\(755\) | −59.4097 | + | 3.11886i | −0.0786883 | + | 0.00413094i | ||||
\(756\) | −250.879 | + | 161.230i | −0.331851 | + | 0.213268i | ||||
\(757\) | −56.8543 | − | 794.927i | −0.0751047 | − | 1.05010i | −0.885628 | − | 0.464395i | \(-0.846272\pi\) |
0.810524 | − | 0.585706i | \(-0.199183\pi\) | |||||||
\(758\) | −145.825 | − | 145.825i | −0.192381 | − | 0.192381i | ||||
\(759\) | −260.670 | + | 96.4415i | −0.343439 | + | 0.127064i | ||||
\(760\) | −143.503 | − | 172.095i | −0.188819 | − | 0.226441i | ||||
\(761\) | 350.736 | − | 404.771i | 0.460889 | − | 0.531894i | −0.476966 | − | 0.878922i | \(-0.658264\pi\) |
0.937855 | + | 0.347028i | \(0.112809\pi\) | |||||||
\(762\) | 39.7948 | − | 182.934i | 0.0522241 | − | 0.240070i | ||||
\(763\) | 873.161 | − | 1166.41i | 1.14438 | − | 1.52871i | ||||
\(764\) | −258.032 | + | 117.839i | −0.337738 | + | 0.154240i | ||||
\(765\) | 85.5852 | + | 138.891i | 0.111876 | + | 0.181557i | ||||
\(766\) | 72.4048 | − | 21.2600i | 0.0945232 | − | 0.0277545i | ||||
\(767\) | 1819.83 | − | 395.879i | 2.37265 | − | 0.516139i | ||||
\(768\) | 14.3170 | − | 5.33995i | 0.0186419 | − | 0.00695307i | ||||
\(769\) | −125.896 | + | 428.761i | −0.163713 | + | 0.557557i | 0.836244 | + | 0.548357i | \(0.184747\pi\) |
−0.999958 | + | 0.00919958i | \(0.997072\pi\) | |||||||
\(770\) | −477.428 | − | 663.619i | −0.620037 | − | 0.861843i | ||||
\(771\) | 204.059 | + | 235.496i | 0.264668 | + | 0.305443i | ||||
\(772\) | 406.100 | − | 221.747i | 0.526036 | − | 0.287238i | ||||
\(773\) | −473.919 | + | 176.762i | −0.613090 | + | 0.228671i | −0.636776 | − | 0.771049i | \(-0.719732\pi\) |
0.0236862 | + | 0.999719i | \(0.492460\pi\) | |||||||
\(774\) | −262.088 | + | 407.816i | −0.338614 | + | 0.526894i | ||||
\(775\) | 789.539 | − | 83.1267i | 1.01876 | − | 0.107260i | ||||
\(776\) | 25.9905 | − | 180.768i | 0.0334929 | − | 0.232948i | ||||
\(777\) | 20.0782 | + | 7.48880i | 0.0258407 | + | 0.00963809i | ||||
\(778\) | −114.270 | + | 152.647i | −0.146877 | + | 0.196204i | ||||
\(779\) | −500.285 | − | 778.458i | −0.642214 | − | 0.999304i | ||||
\(780\) | −153.807 | − | 159.750i | −0.197189 | − | 0.204808i | ||||
\(781\) | 407.224 | 0.521414 | ||||||||
\(782\) | 70.6517 | + | 110.577i | 0.0903475 | + | 0.141403i | ||||
\(783\) | 471.544 | + | 471.544i | 0.602227 | + | 0.602227i | ||||
\(784\) | −104.247 | − | 90.3309i | −0.132969 | − | 0.115218i | ||||
\(785\) | −643.096 | − | 202.144i | −0.819231 | − | 0.257508i | ||||
\(786\) | −6.57278 | − | 45.7147i | −0.00836231 | − | 0.0581612i | ||||
\(787\) | −531.075 | − | 198.081i | −0.674810 | − | 0.251691i | −0.0113864 | − | 0.999935i | \(-0.503624\pi\) |
−0.663424 | + | 0.748244i | \(0.730897\pi\) | |||||||
\(788\) | −167.871 | + | 125.666i | −0.213034 | + | 0.159475i | ||||
\(789\) | −17.4320 | − | 59.3681i | −0.0220938 | − | 0.0752447i | ||||
\(790\) | −298.543 | + | 37.1645i | −0.377902 | + | 0.0470437i | ||||
\(791\) | −380.072 | + | 832.242i | −0.480496 | + | 1.05214i | ||||
\(792\) | −254.053 | + | 138.723i | −0.320774 | + | 0.175156i | ||||
\(793\) | 11.2762 | − | 157.661i | 0.0142196 | − | 0.198816i | ||||
\(794\) | −6.04207 | + | 5.23548i | −0.00760966 | + | 0.00659381i | ||||
\(795\) | 230.209 | + | 90.8690i | 0.289571 | + | 0.114301i | ||||
\(796\) | −293.355 | + | 642.357i | −0.368536 | + | 0.806981i | ||||
\(797\) | 763.844 | − | 166.164i | 0.958398 | − | 0.208487i | 0.293950 | − | 0.955821i | \(-0.405030\pi\) |
0.664449 | + | 0.747334i | \(0.268666\pi\) | |||||||
\(798\) | −171.612 | − | 93.7074i | −0.215053 | − | 0.117428i | ||||
\(799\) | −292.709 | − | 42.0852i | −0.366344 | − | 0.0526724i | ||||
\(800\) | 121.465 | + | 72.4306i | 0.151832 | + | 0.0905383i | ||||
\(801\) | 102.559 | + | 713.314i | 0.128039 | + | 0.890529i | ||||
\(802\) | −47.8975 | + | 220.181i | −0.0597226 | + | 0.274540i | ||||
\(803\) | 993.120 | − | 71.0293i | 1.23676 | − | 0.0884549i | ||||
\(804\) | − | 62.4326i | − | 0.0776525i | ||||||
\(805\) | −1001.57 | − | 317.730i | −1.24418 | − | 0.394695i | ||||
\(806\) | −1042.81 | −1.29381 | ||||||||
\(807\) | −6.12478 | − | 85.6356i | −0.00758957 | − | 0.106116i | ||||
\(808\) | 265.899 | + | 57.8428i | 0.329083 | + | 0.0715876i | ||||
\(809\) | −1401.30 | + | 201.477i | −1.73214 | + | 0.249044i | −0.934974 | − | 0.354716i | \(-0.884578\pi\) |
−0.797166 | + | 0.603760i | \(0.793668\pi\) | |||||||
\(810\) | −174.980 | + | 364.702i | −0.216025 | + | 0.450249i | ||||
\(811\) | −187.392 | + | 1303.34i | −0.231063 | + | 1.60708i | 0.462457 | + | 0.886642i | \(0.346968\pi\) |
−0.693520 | + | 0.720437i | \(0.743941\pi\) | |||||||
\(812\) | −357.872 | + | 655.394i | −0.440729 | + | 0.807135i | ||||
\(813\) | −14.2081 | − | 65.3136i | −0.0174762 | − | 0.0803366i | ||||
\(814\) | 39.9740 | + | 18.2555i | 0.0491081 | + | 0.0224269i | ||||
\(815\) | −188.096 | + | 81.6289i | −0.230792 | + | 0.100158i | ||||
\(816\) | −10.0922 | − | 11.6470i | −0.0123679 | − | 0.0142733i | ||||
\(817\) | −669.817 | − | 47.9063i | −0.819850 | − | 0.0586368i | ||||
\(818\) | −214.489 | − | 392.807i | −0.262211 | − | 0.480204i | ||||
\(819\) | 1560.89 | + | 712.833i | 1.90584 | + | 0.870370i | ||||
\(820\) | 460.818 | + | 358.788i | 0.561973 | + | 0.437546i | ||||
\(821\) | 1306.74 | − | 383.692i | 1.59164 | − | 0.467348i | 0.638436 | − | 0.769675i | \(-0.279582\pi\) |
0.953204 | + | 0.302327i | \(0.0977636\pi\) | |||||||
\(822\) | −29.6092 | − | 39.5533i | −0.0360210 | − | 0.0481184i | ||||
\(823\) | −182.677 | + | 489.776i | −0.221965 | + | 0.595110i | −0.999428 | − | 0.0338179i | \(-0.989233\pi\) |
0.777463 | + | 0.628928i | \(0.216506\pi\) | |||||||
\(824\) | −312.918 | + | 44.9908i | −0.379755 | + | 0.0546005i | ||||
\(825\) | 278.856 | + | 116.226i | 0.338007 | + | 0.140879i | ||||
\(826\) | −678.692 | + | 783.253i | −0.821661 | + | 0.948248i | ||||
\(827\) | 742.507 | − | 742.507i | 0.897832 | − | 0.897832i | −0.0974121 | − | 0.995244i | \(-0.531056\pi\) |
0.995244 | + | 0.0974121i | \(0.0310565\pi\) | |||||||
\(828\) | −155.446 | + | 338.014i | −0.187737 | + | 0.408230i | ||||
\(829\) | − | 401.202i | − | 0.483959i | −0.970281 | − | 0.241979i | \(-0.922203\pi\) | ||
0.970281 | − | 0.241979i | \(-0.0777966\pi\) | |||||||
\(830\) | 414.622 | + | 430.642i | 0.499545 | + | 0.518846i | ||||
\(831\) | −292.259 | + | 187.823i | −0.351695 | + | 0.226021i | ||||
\(832\) | −148.709 | − | 111.322i | −0.178737 | − | 0.133801i | ||||
\(833\) | −48.6173 | + | 130.348i | −0.0583641 | + | 0.156480i | ||||
\(834\) | −219.888 | − | 31.6151i | −0.263655 | − | 0.0379078i | ||||
\(835\) | 1254.87 | + | 840.477i | 1.50284 | + | 1.00656i | ||||
\(836\) | −337.320 | − | 216.782i | −0.403493 | − | 0.259309i | ||||
\(837\) | −181.107 | − | 485.566i | −0.216376 | − | 0.580126i | ||||
\(838\) | 55.4691 | + | 101.584i | 0.0661923 | + | 0.121222i | ||||
\(839\) | −190.866 | + | 165.386i | −0.227492 | + | 0.197123i | −0.761147 | − | 0.648579i | \(-0.775364\pi\) |
0.533655 | + | 0.845702i | \(0.320818\pi\) | |||||||
\(840\) | 121.794 | + | 19.8739i | 0.144993 | + | 0.0236594i | ||||
\(841\) | 795.232 | + | 233.501i | 0.945579 | + | 0.277647i | ||||
\(842\) | −142.981 | − | 383.348i | −0.169812 | − | 0.455283i | ||||
\(843\) | −88.2303 | − | 405.588i | −0.104662 | − | 0.481125i | ||||
\(844\) | −84.1336 | − | 286.533i | −0.0996843 | − | 0.339494i | ||||
\(845\) | −427.632 | + | 1800.79i | −0.506073 | + | 2.13112i | ||||
\(846\) | −348.299 | − | 762.669i | −0.411702 | − | 0.901501i | ||||
\(847\) | −286.056 | − | 214.139i | −0.337729 | − | 0.252821i | ||||
\(848\) | 202.582 | + | 44.0689i | 0.238893 | + | 0.0519681i | ||||
\(849\) | 287.753 | + | 249.339i | 0.338931 | + | 0.293686i | ||||
\(850\) | 25.6336 | − | 140.309i | 0.0301572 | − | 0.165070i | ||||
\(851\) | 55.2238 | − | 11.8605i | 0.0648929 | − | 0.0139372i | ||||
\(852\) | −43.4667 | + | 43.4667i | −0.0510173 | + | 0.0510173i | ||||
\(853\) | 622.189 | − | 44.4998i | 0.729413 | − | 0.0521686i | 0.298307 | − | 0.954470i | \(-0.403578\pi\) |
0.431106 | + | 0.902301i | \(0.358124\pi\) | |||||||
\(854\) | 47.5550 | + | 73.9970i | 0.0556850 | + | 0.0866475i | ||||
\(855\) | −639.865 | + | 33.5913i | −0.748380 | + | 0.0392881i | ||||
\(856\) | −157.234 | − | 344.295i | −0.183685 | − | 0.402214i | ||||
\(857\) | −563.321 | − | 752.509i | −0.657317 | − | 0.878073i | 0.340754 | − | 0.940153i | \(-0.389318\pi\) |
−0.998071 | + | 0.0620794i | \(0.980227\pi\) | |||||||
\(858\) | −348.286 | − | 190.179i | −0.405928 | − | 0.221654i | ||||
\(859\) | −617.129 | + | 960.271i | −0.718427 | + | 1.11789i | 0.269504 | + | 0.962999i | \(0.413140\pi\) |
−0.987931 | + | 0.154895i | \(0.950496\pi\) | |||||||
\(860\) | 408.846 | − | 111.678i | 0.475402 | − | 0.129858i | ||||
\(861\) | 488.978 | + | 143.577i | 0.567919 | + | 0.166756i | ||||
\(862\) | 27.2437 | + | 1.94851i | 0.0316052 | + | 0.00226045i | ||||
\(863\) | 34.6151 | − | 483.982i | 0.0401102 | − | 0.560814i | −0.937172 | − | 0.348869i | \(-0.886566\pi\) |
0.977282 | − | 0.211945i | \(-0.0679796\pi\) | |||||||
\(864\) | 26.0086 | − | 88.5770i | 0.0301025 | − | 0.102520i | ||||
\(865\) | −63.9393 | − | 234.078i | −0.0739183 | − | 0.270611i | ||||
\(866\) | −649.213 | − | 417.224i | −0.749669 | − | 0.481783i | ||||
\(867\) | 124.825 | − | 228.600i | 0.143973 | − | 0.263667i | ||||
\(868\) | 464.563 | − | 347.768i | 0.535211 | − | 0.400654i | ||||
\(869\) | −489.703 | + | 223.640i | −0.563525 | + | 0.257353i | ||||
\(870\) | −14.4668 | − | 275.572i | −0.0166285 | − | 0.316749i | ||||
\(871\) | −638.496 | + | 410.337i | −0.733061 | + | 0.471110i | ||||
\(872\) | 32.1763 | + | 449.883i | 0.0368994 | + | 0.515921i | ||||
\(873\) | −369.268 | − | 369.268i | −0.422988 | − | 0.422988i | ||||
\(874\) | −514.155 | + | 35.4086i | −0.588278 | + | 0.0405132i | ||||
\(875\) | 561.887 | + | 994.350i | 0.642157 | + | 1.13640i | ||||
\(876\) | −98.4231 | + | 113.586i | −0.112355 | + | 0.129665i | ||||
\(877\) | −98.1146 | + | 451.026i | −0.111875 | + | 0.514282i | 0.886768 | + | 0.462214i | \(0.152945\pi\) |
−0.998644 | + | 0.0520681i | \(0.983419\pi\) | |||||||
\(878\) | 95.7884 | − | 127.958i | 0.109098 | − | 0.145738i | ||||
\(879\) | −97.1593 | + | 44.3712i | −0.110534 | + | 0.0504792i | ||||
\(880\) | 246.220 | + | 58.4696i | 0.279796 | + | 0.0664427i | ||||
\(881\) | −766.916 | + | 225.187i | −0.870506 | + | 0.255604i | −0.686330 | − | 0.727290i | \(-0.740780\pi\) |
−0.184175 | + | 0.982893i | \(0.558961\pi\) | |||||||
\(882\) | −385.425 | + | 83.8440i | −0.436989 | + | 0.0950612i | ||||
\(883\) | 389.124 | − | 145.136i | 0.440684 | − | 0.164367i | −0.119321 | − | 0.992856i | \(-0.538072\pi\) |
0.560005 | + | 0.828489i | \(0.310799\pi\) | |||||||
\(884\) | −52.7828 | + | 179.762i | −0.0597091 | + | 0.203350i | ||||
\(885\) | 61.6793 | − | 377.993i | 0.0696941 | − | 0.427111i | ||||
\(886\) | 183.678 | + | 211.976i | 0.207312 | + | 0.239251i | ||||
\(887\) | −685.539 | + | 374.333i | −0.772874 | + | 0.422021i | −0.816732 | − | 0.577017i | \(-0.804217\pi\) |
0.0438583 | + | 0.999038i | \(0.486035\pi\) | |||||||
\(888\) | −6.21537 | + | 2.31821i | −0.00699929 | + | 0.00261060i | ||||
\(889\) | 684.725 | − | 1065.45i | 0.770219 | − | 1.19848i | ||||
\(890\) | 350.610 | − | 523.478i | 0.393944 | − | 0.588177i | ||||
\(891\) | −103.014 | + | 716.480i | −0.115616 | + | 0.804130i | ||||
\(892\) | −307.053 | − | 114.525i | −0.344230 | − | 0.128391i | ||||
\(893\) | 696.026 | − | 929.782i | 0.779424 | − | 1.04119i | ||||
\(894\) | −126.439 | − | 196.743i | −0.141431 | − | 0.220070i | ||||
\(895\) | −623.051 | + | 599.873i | −0.696147 | + | 0.670250i | ||||
\(896\) | 103.373 | 0.115372 | ||||||||
\(897\) | −505.042 | + | 71.2532i | −0.563035 | + | 0.0794350i | ||||
\(898\) | 717.185 | + | 717.185i | 0.798647 | + | 0.798647i | ||||
\(899\) | −980.704 | − | 849.785i | −1.09088 | − | 0.945256i | ||||
\(900\) | 373.953 | − | 153.933i | 0.415504 | − | 0.171037i | ||||
\(901\) | −29.7572 | − | 206.966i | −0.0330268 | − | 0.229707i | ||||
\(902\) | 979.190 | + | 365.219i | 1.08558 | + | 0.404899i | ||||
\(903\) | 296.065 | − | 221.632i | 0.327869 | − | 0.245439i | ||||
\(904\) | −79.7925 | − | 271.748i | −0.0882661 | − | 0.300607i | ||||
\(905\) | 988.220 | − | 1269.24i | 1.09196 | − | 1.40248i | ||||
\(906\) | 6.67570 | − | 14.6178i | 0.00736833 | − | 0.0161344i | ||||
\(907\) | 227.803 | − | 124.390i | 0.251161 | − | 0.137144i | −0.348738 | − | 0.937220i | \(-0.613390\pi\) |
0.599898 | + | 0.800076i | \(0.295208\pi\) | |||||||
\(908\) | −19.9395 | + | 278.791i | −0.0219598 | + | 0.307038i | ||||
\(909\) | 588.067 | − | 509.563i | 0.646939 | − | 0.560576i | ||||
\(910\) | −597.240 | − | 1376.21i | −0.656308 | − | 1.51232i | ||||
\(911\) | −350.776 | + | 768.093i | −0.385046 | + | 0.843132i | 0.613525 | + | 0.789676i | \(0.289751\pi\) |
−0.998570 | + | 0.0534565i | \(0.982976\pi\) | |||||||
\(912\) | 59.1444 | − | 12.8661i | 0.0648513 | − | 0.0141075i | ||||
\(913\) | 938.885 | + | 512.670i | 1.02835 | + | 0.561522i | ||||
\(914\) | 370.723 | + | 53.3019i | 0.405605 | + | 0.0583172i | ||||
\(915\) | −29.3066 | − | 14.0610i | −0.0320291 | − | 0.0153672i | ||||
\(916\) | −13.0050 | − | 90.4516i | −0.0141976 | − | 0.0987463i | ||||
\(917\) | 66.4148 | − | 305.304i | 0.0724262 | − | 0.332938i | ||||
\(918\) | −92.8693 | + | 6.64214i | −0.101165 | + | 0.00723545i | ||||
\(919\) | − | 1363.36i | − | 1.48353i | −0.670661 | − | 0.741764i | \(-0.733990\pi\) | ||
0.670661 | − | 0.741764i | \(-0.266010\pi\) | |||||||
\(920\) | 298.723 | − | 128.702i | 0.324699 | − | 0.139894i | ||||
\(921\) | −474.485 | −0.515184 | ||||||||
\(922\) | 80.6309 | + | 1127.37i | 0.0874521 | + | 1.22274i | ||||
\(923\) | 730.216 | + | 158.849i | 0.791133 | + | 0.172101i | ||||
\(924\) | 218.581 | − | 31.4272i | 0.236559 | − | 0.0340121i | ||||
\(925\) | −52.7312 | − | 31.4440i | −0.0570067 | − | 0.0339935i | ||||
\(926\) | −35.5521 | + | 247.270i | −0.0383932 | + | 0.267031i | ||||
\(927\) | −433.239 | + | 793.418i | −0.467356 | + | 0.855898i | ||||
\(928\) | −49.1360 | − | 225.875i | −0.0529483 | − | 0.243399i | ||||
\(929\) | 27.5460 | + | 12.5798i | 0.0296512 | + | 0.0135413i | 0.430185 | − | 0.902741i | \(-0.358448\pi\) |
−0.400534 | + | 0.916282i | \(0.631175\pi\) | |||||||
\(930\) | −78.7368 | + | 199.473i | −0.0846633 | + | 0.214487i | ||||
\(931\) | −357.812 | − | 412.938i | −0.384331 | − | 0.443542i | ||||
\(932\) | 792.433 | + | 56.6759i | 0.850250 | + | 0.0608111i | ||||
\(933\) | −26.4612 | − | 48.4601i | −0.0283614 | − | 0.0519401i | ||||
\(934\) | −294.404 | − | 134.450i | −0.315208 | − | 0.143951i | ||||
\(935\) | −31.5297 | − | 253.278i | −0.0337216 | − | 0.270886i | ||||
\(936\) | −509.669 | + | 149.652i | −0.544519 | + | 0.159885i | ||||
\(937\) | 506.950 | + | 677.206i | 0.541035 | + | 0.722738i | 0.984855 | − | 0.173377i | \(-0.0554681\pi\) |
−0.443820 | + | 0.896116i | \(0.646377\pi\) | |||||||
\(938\) | 147.601 | − | 395.733i | 0.157357 | − | 0.421890i | ||||
\(939\) | −34.9807 | + | 5.02947i | −0.0372532 | + | 0.00535620i | ||||
\(940\) | −219.807 | + | 699.292i | −0.233838 | + | 0.743928i | ||||
\(941\) | 378.953 | − | 437.335i | 0.402713 | − | 0.464756i | −0.517780 | − | 0.855514i | \(-0.673242\pi\) |
0.920494 | + | 0.390758i | \(0.127787\pi\) | |||||||
\(942\) | 128.760 | − | 128.760i | 0.136688 | − | 0.136688i | ||||
\(943\) | 1289.83 | − | 375.032i | 1.36780 | − | 0.397701i | ||||
\(944\) | − | 320.823i | − | 0.339855i | ||||||
\(945\) | 537.080 | − | 517.100i | 0.568339 | − | 0.547196i | ||||
\(946\) | 638.019 | − | 410.030i | 0.674439 | − | 0.433435i | ||||
\(947\) | 709.222 | + | 530.917i | 0.748914 | + | 0.560630i | 0.904134 | − | 0.427250i | \(-0.140517\pi\) |
−0.155219 | + | 0.987880i | \(0.549608\pi\) | |||||||
\(948\) | 28.3994 | − | 76.1416i | 0.0299571 | − | 0.0803182i | ||||
\(949\) | 1808.53 | + | 260.027i | 1.90572 | + | 0.274001i | ||||
\(950\) | 435.411 | + | 352.460i | 0.458327 | + | 0.371011i | ||||
\(951\) | 191.993 | + | 123.387i | 0.201886 | + | 0.129744i | ||||
\(952\) | −36.4345 | − | 97.6846i | −0.0382715 | − | 0.102610i | ||||
\(953\) | 700.918 | + | 1283.64i | 0.735486 | + | 1.34694i | 0.930555 | + | 0.366153i | \(0.119325\pi\) |
−0.195069 | + | 0.980790i | \(0.562493\pi\) | |||||||
\(954\) | 448.033 | − | 388.223i | 0.469637 | − | 0.406943i | ||||
\(955\) | 575.667 | − | 414.153i | 0.602793 | − | 0.433668i | ||||
\(956\) | −343.417 | − | 100.836i | −0.359223 | − | 0.105477i | ||||
\(957\) | −172.567 | − | 462.669i | −0.180320 | − | 0.483458i | ||||
\(958\) | 265.044 | + | 1218.39i | 0.276663 | + | 1.27180i | ||||
\(959\) | −94.1694 | − | 320.712i | −0.0981955 | − | 0.334423i | ||||
\(960\) | −32.5223 | + | 20.0403i | −0.0338774 | + | 0.0208754i | ||||
\(961\) | 19.7118 | + | 43.1628i | 0.0205117 | + | 0.0449144i | ||||
\(962\) | 64.5586 | + | 48.3280i | 0.0671087 | + | 0.0502370i | ||||
\(963\) | −1057.59 | − | 230.064i | −1.09822 | − | 0.238904i | ||||
\(964\) | 472.358 | + | 409.301i | 0.489998 | + | 0.424586i | ||||
\(965\) | −888.406 | + | 740.805i | −0.920628 | + | 0.767673i | ||||
\(966\) | 201.229 | − | 200.169i | 0.208311 | − | 0.207214i | ||||
\(967\) | −878.693 | + | 878.693i | −0.908679 | + | 0.908679i | −0.996166 | − | 0.0874865i | \(-0.972117\pi\) |
0.0874865 | + | 0.996166i | \(0.472117\pi\) | |||||||
\(968\) | 110.332 | − | 7.89109i | 0.113979 | − | 0.00815196i | ||||
\(969\) | −33.0038 | − | 51.3549i | −0.0340596 | − | 0.0529978i | ||||
\(970\) | 23.9357 | + | 455.939i | 0.0246759 | + | 0.470040i | ||||
\(971\) | 64.9521 | + | 142.225i | 0.0668920 | + | 0.146473i | 0.940125 | − | 0.340830i | \(-0.110708\pi\) |
−0.873233 | + | 0.487303i | \(0.837981\pi\) | |||||||
\(972\) | −241.518 | − | 322.630i | −0.248475 | − | 0.331924i | ||||
\(973\) | −1319.03 | − | 720.244i | −1.35563 | − | 0.740230i | ||||
\(974\) | −60.1088 | + | 93.5311i | −0.0617133 | + | 0.0960278i | ||||
\(975\) | 454.695 | + | 317.186i | 0.466353 | + | 0.325319i | ||||
\(976\) | −26.1258 | − | 7.67124i | −0.0267683 | − | 0.00785987i | ||||
\(977\) | −237.845 | − | 17.0110i | −0.243444 | − | 0.0174115i | −0.0509160 | − | 0.998703i | \(-0.516214\pi\) |
−0.192528 | + | 0.981291i | \(0.561669\pi\) | |||||||
\(978\) | 3.95126 | − | 55.2459i | 0.00404015 | − | 0.0564886i | ||||
\(979\) | 317.636 | − | 1081.77i | 0.324450 | − | 1.10497i | ||||
\(980\) | 299.480 | + | 170.974i | 0.305591 | + | 0.174463i | ||||
\(981\) | 1084.99 | + | 697.282i | 1.10601 | + | 0.710787i | ||||
\(982\) | 336.445 | − | 616.154i | 0.342612 | − | 0.627448i | ||||
\(983\) | −347.238 | + | 259.939i | −0.353243 | + | 0.264435i | −0.761132 | − | 0.648597i | \(-0.775356\pi\) |
0.407889 | + | 0.913032i | \(0.366265\pi\) | |||||||
\(984\) | −143.501 | + | 65.5347i | −0.145834 | + | 0.0666003i | ||||
\(985\) | 350.751 | − | 389.618i | 0.356092 | − | 0.395552i | ||||
\(986\) | −196.126 | + | 126.043i | −0.198911 | + | 0.127832i | ||||
\(987\) | 45.6315 | + | 638.012i | 0.0462326 | + | 0.646416i | ||||
\(988\) | −520.306 | − | 520.306i | −0.526625 | − | 0.526625i | ||||
\(989\) | 343.067 | − | 912.431i | 0.346882 | − | 0.922579i | ||||
\(990\) | 555.780 | − | 463.441i | 0.561394 | − | 0.468123i | ||||
\(991\) | 240.525 | − | 277.580i | 0.242709 | − | 0.280101i | −0.621305 | − | 0.783569i | \(-0.713397\pi\) |
0.864014 | + | 0.503468i | \(0.167943\pi\) | |||||||
\(992\) | −38.1852 | + | 175.534i | −0.0384931 | + | 0.176950i | ||||
\(993\) | −116.231 | + | 155.267i | −0.117051 | + | 0.156361i | ||||
\(994\) | −378.278 | + | 172.754i | −0.380562 | + | 0.173797i | ||||
\(995\) | 407.891 | − | 1717.66i | 0.409941 | − | 1.72630i | ||||
\(996\) | −154.938 | + | 45.4938i | −0.155560 | + | 0.0456765i | ||||
\(997\) | −219.303 | + | 47.7066i | −0.219963 | + | 0.0478501i | −0.321196 | − | 0.947013i | \(-0.604085\pi\) |
0.101233 | + | 0.994863i | \(0.467721\pi\) | |||||||
\(998\) | −148.667 | + | 55.4497i | −0.148964 | + | 0.0555609i | ||||
\(999\) | −11.2910 | + | 38.4536i | −0.0113023 | + | 0.0384921i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 230.3.k.a.223.7 | yes | 240 | |
5.2 | odd | 4 | inner | 230.3.k.a.177.7 | yes | 240 | |
23.13 | even | 11 | inner | 230.3.k.a.13.7 | ✓ | 240 | |
115.82 | odd | 44 | inner | 230.3.k.a.197.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.a.13.7 | ✓ | 240 | 23.13 | even | 11 | inner | |
230.3.k.a.177.7 | yes | 240 | 5.2 | odd | 4 | inner | |
230.3.k.a.197.7 | yes | 240 | 115.82 | odd | 44 | inner | |
230.3.k.a.223.7 | yes | 240 | 1.1 | even | 1 | trivial |