Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 178.19 | ||
Character | \(\chi\) | \(=\) | 483.178 |
Dual form | 483.2.bf.a.19.19 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.180396 | − | 0.0172257i | 0.127559 | − | 0.0121804i | −0.0310812 | − | 0.999517i | \(-0.509895\pi\) |
0.158640 | + | 0.987336i | \(0.449289\pi\) | |||||||
\(3\) | −0.690079 | − | 0.723734i | −0.398417 | − | 0.417848i | ||||
\(4\) | −1.93161 | + | 0.372288i | −0.965806 | + | 0.186144i | ||||
\(5\) | −3.29323 | − | 1.69778i | −1.47278 | − | 0.759269i | −0.479777 | − | 0.877391i | \(-0.659282\pi\) |
−0.992999 | + | 0.118122i | \(0.962313\pi\) | |||||||
\(6\) | −0.136954 | − | 0.118671i | −0.0559113 | − | 0.0484474i | ||||
\(7\) | 0.635350 | + | 2.56833i | 0.240140 | + | 0.970738i | ||||
\(8\) | −0.689793 | + | 0.202541i | −0.243879 | + | 0.0716092i | ||||
\(9\) | −0.0475819 | + | 0.998867i | −0.0158606 | + | 0.332956i | ||||
\(10\) | −0.623329 | − | 0.249543i | −0.197114 | − | 0.0789126i | ||||
\(11\) | 0.277003 | − | 2.90091i | 0.0835195 | − | 0.874656i | −0.852504 | − | 0.522720i | \(-0.824917\pi\) |
0.936024 | − | 0.351936i | \(-0.114477\pi\) | |||||||
\(12\) | 1.60240 | + | 1.14107i | 0.462574 | + | 0.329397i | ||||
\(13\) | 6.10712 | − | 0.878071i | 1.69381 | − | 0.243533i | 0.773241 | − | 0.634112i | \(-0.218634\pi\) |
0.920569 | + | 0.390579i | \(0.127725\pi\) | |||||||
\(14\) | 0.158856 | + | 0.452372i | 0.0424560 | + | 0.120901i | ||||
\(15\) | 1.04385 | + | 3.55502i | 0.269520 | + | 0.917902i | ||||
\(16\) | 3.53155 | − | 1.41382i | 0.882888 | − | 0.353455i | ||||
\(17\) | 1.72042 | + | 4.97084i | 0.417264 | + | 1.20560i | 0.936407 | + | 0.350917i | \(0.114130\pi\) |
−0.519143 | + | 0.854688i | \(0.673749\pi\) | |||||||
\(18\) | 0.00862262 | + | 0.181011i | 0.00203237 | + | 0.0426647i | ||||
\(19\) | −1.79025 | + | 5.17257i | −0.410710 | + | 1.18667i | 0.530158 | + | 0.847899i | \(0.322132\pi\) |
−0.940869 | + | 0.338771i | \(0.889989\pi\) | |||||||
\(20\) | 6.99330 | + | 2.05342i | 1.56375 | + | 0.459158i | ||||
\(21\) | 1.42035 | − | 2.23218i | 0.309945 | − | 0.487101i | ||||
\(22\) | − | 0.528083i | − | 0.112588i | ||||||
\(23\) | −4.54339 | + | 1.53545i | −0.947362 | + | 0.320164i | ||||
\(24\) | 0.622598 | + | 0.359457i | 0.127087 | + | 0.0733738i | ||||
\(25\) | 5.06261 | + | 7.10945i | 1.01252 | + | 1.42189i | ||||
\(26\) | 1.08657 | − | 0.263600i | 0.213094 | − | 0.0516961i | ||||
\(27\) | 0.755750 | − | 0.654861i | 0.145444 | − | 0.126028i | ||||
\(28\) | −2.18341 | − | 4.72449i | −0.412625 | − | 0.892844i | ||||
\(29\) | 0.942973 | − | 1.08825i | 0.175106 | − | 0.202083i | −0.661412 | − | 0.750023i | \(-0.730042\pi\) |
0.836518 | + | 0.547940i | \(0.184588\pi\) | |||||||
\(30\) | 0.249543 | + | 0.623329i | 0.0455602 | + | 0.113804i | ||||
\(31\) | 7.09866 | + | 1.72212i | 1.27496 | + | 0.309301i | 0.815427 | − | 0.578860i | \(-0.196502\pi\) |
0.459531 | + | 0.888162i | \(0.348018\pi\) | |||||||
\(32\) | 1.89071 | − | 0.974731i | 0.334234 | − | 0.172310i | ||||
\(33\) | −2.29064 | + | 1.80138i | −0.398749 | + | 0.313580i | ||||
\(34\) | 0.395983 | + | 0.867082i | 0.0679105 | + | 0.148703i | ||||
\(35\) | 2.26810 | − | 9.53678i | 0.383379 | − | 1.61201i | ||||
\(36\) | −0.279956 | − | 1.94714i | −0.0466594 | − | 0.324523i | ||||
\(37\) | −7.24261 | − | 0.345008i | −1.19068 | − | 0.0567190i | −0.557132 | − | 0.830424i | \(-0.688098\pi\) |
−0.633546 | + | 0.773705i | \(0.718401\pi\) | |||||||
\(38\) | −0.233851 | + | 0.963948i | −0.0379357 | + | 0.156373i | ||||
\(39\) | −4.84989 | − | 3.81399i | −0.776603 | − | 0.610727i | ||||
\(40\) | 2.61551 | + | 0.504099i | 0.413549 | + | 0.0797051i | ||||
\(41\) | 4.33080 | + | 6.73886i | 0.676358 | + | 1.05243i | 0.994535 | + | 0.104402i | \(0.0332928\pi\) |
−0.318178 | + | 0.948031i | \(0.603071\pi\) | |||||||
\(42\) | 0.217774 | − | 0.427141i | 0.0336032 | − | 0.0659094i | ||||
\(43\) | 2.08099 | − | 7.08722i | 0.317349 | − | 1.08079i | −0.634169 | − | 0.773195i | \(-0.718658\pi\) |
0.951517 | − | 0.307595i | \(-0.0995243\pi\) | |||||||
\(44\) | 0.544909 | + | 5.70655i | 0.0821482 | + | 0.860295i | ||||
\(45\) | 1.85255 | − | 3.20871i | 0.276162 | − | 0.478327i | ||||
\(46\) | −0.793158 | + | 0.355252i | −0.116945 | + | 0.0523791i | ||||
\(47\) | 5.92656 | − | 3.42170i | 0.864477 | − | 0.499106i | −0.00103190 | − | 0.999999i | \(-0.500328\pi\) |
0.865509 | + | 0.500893i | \(0.166995\pi\) | |||||||
\(48\) | −3.46028 | − | 1.58026i | −0.499448 | − | 0.228090i | ||||
\(49\) | −6.19266 | + | 3.26358i | −0.884666 | + | 0.466226i | ||||
\(50\) | 1.03574 | + | 1.19531i | 0.146476 | + | 0.169042i | ||||
\(51\) | 2.41033 | − | 4.67540i | 0.337514 | − | 0.654687i | ||||
\(52\) | −11.4697 | + | 3.96970i | −1.59056 | + | 0.550498i | ||||
\(53\) | −2.09068 | + | 2.65852i | −0.287178 | + | 0.365176i | −0.908142 | − | 0.418663i | \(-0.862499\pi\) |
0.620964 | + | 0.783839i | \(0.286741\pi\) | |||||||
\(54\) | 0.125054 | − | 0.131152i | 0.0170176 | − | 0.0178476i | ||||
\(55\) | −5.83732 | + | 9.08305i | −0.787105 | + | 1.22476i | ||||
\(56\) | −0.958453 | − | 1.64293i | −0.128079 | − | 0.219546i | ||||
\(57\) | 4.97898 | − | 2.27382i | 0.659482 | − | 0.301175i | ||||
\(58\) | 0.151362 | − | 0.212559i | 0.0198749 | − | 0.0279103i | ||||
\(59\) | 1.05083 | − | 2.62485i | 0.136807 | − | 0.341727i | −0.844106 | − | 0.536177i | \(-0.819868\pi\) |
0.980912 | + | 0.194450i | \(0.0622923\pi\) | |||||||
\(60\) | −3.33980 | − | 6.47831i | −0.431166 | − | 0.836346i | ||||
\(61\) | 6.10050 | + | 5.81682i | 0.781089 | + | 0.744767i | 0.971526 | − | 0.236932i | \(-0.0761420\pi\) |
−0.190437 | + | 0.981699i | \(0.560990\pi\) | |||||||
\(62\) | 1.31023 | + | 0.188383i | 0.166400 | + | 0.0239247i | ||||
\(63\) | −2.59565 | + | 0.512424i | −0.327022 | + | 0.0645594i | ||||
\(64\) | −6.07604 | + | 3.90484i | −0.759505 | + | 0.488104i | ||||
\(65\) | −21.6029 | − | 7.47684i | −2.67951 | − | 0.927387i | ||||
\(66\) | −0.382191 | + | 0.364419i | −0.0470445 | + | 0.0448568i | ||||
\(67\) | −4.99918 | + | 3.55990i | −0.610747 | + | 0.434911i | −0.843127 | − | 0.537714i | \(-0.819288\pi\) |
0.232380 | + | 0.972625i | \(0.425349\pi\) | |||||||
\(68\) | −5.17377 | − | 8.96123i | −0.627412 | − | 1.08671i | ||||
\(69\) | 4.24656 | + | 2.22862i | 0.511225 | + | 0.268295i | ||||
\(70\) | 0.244878 | − | 1.75946i | 0.0292685 | − | 0.210296i | ||||
\(71\) | −3.13680 | + | 6.86863i | −0.372270 | + | 0.815157i | 0.627075 | + | 0.778959i | \(0.284252\pi\) |
−0.999345 | + | 0.0361980i | \(0.988475\pi\) | |||||||
\(72\) | −0.169490 | − | 0.698649i | −0.0199746 | − | 0.0823366i | ||||
\(73\) | 0.943382 | + | 4.89473i | 0.110414 | + | 0.572885i | 0.994428 | + | 0.105423i | \(0.0336195\pi\) |
−0.884013 | + | 0.467462i | \(0.845168\pi\) | |||||||
\(74\) | −1.31248 | + | 0.0625211i | −0.152573 | + | 0.00726793i | ||||
\(75\) | 1.65175 | − | 8.57007i | 0.190727 | − | 0.989586i | ||||
\(76\) | 1.53237 | − | 10.6579i | 0.175775 | − | 1.22254i | ||||
\(77\) | 7.62649 | − | 1.13165i | 0.869119 | − | 0.128964i | ||||
\(78\) | −0.940597 | − | 0.604485i | −0.106502 | − | 0.0684444i | ||||
\(79\) | 5.57441 | + | 7.08844i | 0.627170 | + | 0.797512i | 0.990987 | − | 0.133959i | \(-0.0427689\pi\) |
−0.363817 | + | 0.931471i | \(0.618526\pi\) | |||||||
\(80\) | −14.0305 | − | 1.33976i | −1.56866 | − | 0.149789i | ||||
\(81\) | −0.995472 | − | 0.0950560i | −0.110608 | − | 0.0105618i | ||||
\(82\) | 0.897339 | + | 1.14106i | 0.0990946 | + | 0.126009i | ||||
\(83\) | 5.40796 | + | 3.47549i | 0.593601 | + | 0.381484i | 0.802676 | − | 0.596415i | \(-0.203409\pi\) |
−0.209075 | + | 0.977900i | \(0.567045\pi\) | |||||||
\(84\) | −1.91255 | + | 4.84048i | −0.208676 | + | 0.528139i | ||||
\(85\) | 2.77362 | − | 19.2910i | 0.300842 | − | 2.09240i | ||||
\(86\) | 0.253320 | − | 1.31435i | 0.0273162 | − | 0.141730i | ||||
\(87\) | −1.43833 | + | 0.0685161i | −0.154205 | + | 0.00734569i | ||||
\(88\) | 0.396479 | + | 2.05713i | 0.0422648 | + | 0.219291i | ||||
\(89\) | −0.473814 | − | 1.95309i | −0.0502242 | − | 0.207027i | 0.941171 | − | 0.337931i | \(-0.109727\pi\) |
−0.991395 | + | 0.130904i | \(0.958212\pi\) | |||||||
\(90\) | 0.278920 | − | 0.610750i | 0.0294007 | − | 0.0643787i | ||||
\(91\) | 6.13534 | + | 15.1272i | 0.643158 | + | 1.58576i | ||||
\(92\) | 8.20443 | − | 4.65735i | 0.855371 | − | 0.485562i | ||||
\(93\) | −3.65228 | − | 6.32594i | −0.378724 | − | 0.655970i | ||||
\(94\) | 1.01018 | − | 0.719349i | 0.104193 | − | 0.0741952i | ||||
\(95\) | 14.6776 | − | 13.9950i | 1.50589 | − | 1.43586i | ||||
\(96\) | −2.01019 | − | 0.695733i | −0.205164 | − | 0.0710080i | ||||
\(97\) | −4.63612 | + | 2.97945i | −0.470727 | + | 0.302518i | −0.754414 | − | 0.656399i | \(-0.772079\pi\) |
0.283687 | + | 0.958917i | \(0.408442\pi\) | |||||||
\(98\) | −1.06091 | + | 0.695408i | −0.107168 | + | 0.0702469i | ||||
\(99\) | 2.88444 | + | 0.414720i | 0.289897 | + | 0.0416809i | ||||
\(100\) | −12.4258 | − | 11.8479i | −1.24258 | − | 1.18479i | ||||
\(101\) | −1.33092 | − | 2.58162i | −0.132431 | − | 0.256881i | 0.813291 | − | 0.581857i | \(-0.197674\pi\) |
−0.945722 | + | 0.324977i | \(0.894644\pi\) | |||||||
\(102\) | 0.354277 | − | 0.884941i | 0.0350787 | − | 0.0876222i | ||||
\(103\) | −2.62118 | + | 3.68094i | −0.258273 | + | 0.362693i | −0.923270 | − | 0.384153i | \(-0.874494\pi\) |
0.664997 | + | 0.746846i | \(0.268433\pi\) | |||||||
\(104\) | −4.03480 | + | 1.84263i | −0.395645 | + | 0.180685i | ||||
\(105\) | −8.46727 | + | 4.93963i | −0.826320 | + | 0.482059i | ||||
\(106\) | −0.331356 | + | 0.515599i | −0.0321841 | + | 0.0500794i | ||||
\(107\) | −5.66641 | + | 5.94275i | −0.547792 | + | 0.574508i | −0.938182 | − | 0.346142i | \(-0.887492\pi\) |
0.390390 | + | 0.920650i | \(0.372340\pi\) | |||||||
\(108\) | −1.21602 | + | 1.54629i | −0.117011 | + | 0.148792i | ||||
\(109\) | 14.7744 | − | 5.11348i | 1.41513 | − | 0.489782i | 0.490768 | − | 0.871290i | \(-0.336716\pi\) |
0.924365 | + | 0.381508i | \(0.124595\pi\) | |||||||
\(110\) | −0.896566 | + | 1.73910i | −0.0854842 | + | 0.165816i | ||||
\(111\) | 4.74828 | + | 5.47981i | 0.450687 | + | 0.520120i | ||||
\(112\) | 5.87493 | + | 8.17193i | 0.555129 | + | 0.772174i | ||||
\(113\) | 14.0826 | + | 6.43133i | 1.32478 | + | 0.605008i | 0.947104 | − | 0.320928i | \(-0.103995\pi\) |
0.377680 | + | 0.925936i | \(0.376722\pi\) | |||||||
\(114\) | 0.859018 | − | 0.495954i | 0.0804544 | − | 0.0464504i | ||||
\(115\) | 17.5693 | + | 2.65707i | 1.63834 | + | 0.247773i | ||||
\(116\) | −1.41632 | + | 2.45313i | −0.131502 | + | 0.227768i | ||||
\(117\) | 0.586488 | + | 6.14198i | 0.0542209 | + | 0.567826i | ||||
\(118\) | 0.144351 | − | 0.491613i | 0.0132886 | − | 0.0452567i | ||||
\(119\) | −11.6737 | + | 7.57684i | −1.07013 | + | 0.694567i | ||||
\(120\) | −1.44008 | − | 2.24081i | −0.131461 | − | 0.204557i | ||||
\(121\) | 2.46269 | + | 0.474644i | 0.223881 | + | 0.0431495i | ||||
\(122\) | 1.20070 | + | 0.944243i | 0.108707 | + | 0.0854877i | ||||
\(123\) | 1.88855 | − | 7.78469i | 0.170284 | − | 0.701922i | ||||
\(124\) | −14.3530 | − | 0.683717i | −1.28894 | − | 0.0613996i | ||||
\(125\) | −1.96563 | − | 13.6713i | −0.175811 | − | 1.22279i | ||||
\(126\) | −0.459418 | + | 0.137151i | −0.0409282 | + | 0.0122184i | ||||
\(127\) | 1.12042 | + | 2.45338i | 0.0994213 | + | 0.217702i | 0.952806 | − | 0.303579i | \(-0.0981816\pi\) |
−0.853385 | + | 0.521281i | \(0.825454\pi\) | |||||||
\(128\) | −4.37298 | + | 3.43895i | −0.386521 | + | 0.303963i | ||||
\(129\) | −6.56531 | + | 3.38465i | −0.578043 | + | 0.298002i | ||||
\(130\) | −4.02586 | − | 0.976664i | −0.353092 | − | 0.0856591i | ||||
\(131\) | −7.72111 | − | 19.2864i | −0.674597 | − | 1.68506i | −0.727182 | − | 0.686445i | \(-0.759170\pi\) |
0.0525847 | − | 0.998616i | \(-0.483254\pi\) | |||||||
\(132\) | 3.75399 | − | 4.33234i | 0.326743 | − | 0.377082i | ||||
\(133\) | −14.4223 | − | 1.31155i | −1.25057 | − | 0.113726i | ||||
\(134\) | −0.840509 | + | 0.728305i | −0.0726089 | + | 0.0629160i | ||||
\(135\) | −3.60066 | + | 0.873511i | −0.309896 | + | 0.0751799i | ||||
\(136\) | −2.19354 | − | 3.08039i | −0.188094 | − | 0.264141i | ||||
\(137\) | −4.46232 | − | 2.57632i | −0.381242 | − | 0.220110i | 0.297116 | − | 0.954841i | \(-0.403975\pi\) |
−0.678359 | + | 0.734731i | \(0.737308\pi\) | |||||||
\(138\) | 0.804450 | + | 0.328884i | 0.0684793 | + | 0.0279965i | ||||
\(139\) | 10.2274i | 0.867476i | 0.901039 | + | 0.433738i | \(0.142806\pi\) | ||||
−0.901039 | + | 0.433738i | \(0.857194\pi\) | |||||||
\(140\) | −0.830668 | + | 19.2657i | −0.0702043 | + | 1.62825i | ||||
\(141\) | −6.56619 | − | 1.92801i | −0.552973 | − | 0.162368i | ||||
\(142\) | −0.447548 | + | 1.29311i | −0.0375574 | + | 0.108515i | ||||
\(143\) | −0.855512 | − | 17.9594i | −0.0715415 | − | 1.50184i | ||||
\(144\) | 1.24418 | + | 3.59482i | 0.103682 | + | 0.299569i | ||||
\(145\) | −4.95303 | + | 1.98289i | −0.411327 | + | 0.164670i | ||||
\(146\) | 0.254497 | + | 0.866738i | 0.0210623 | + | 0.0717317i | ||||
\(147\) | 6.63539 | + | 2.22971i | 0.547278 | + | 0.183904i | ||||
\(148\) | 14.1184 | − | 2.02991i | 1.16052 | − | 0.166858i | ||||
\(149\) | 12.9543 | + | 9.22474i | 1.06126 | + | 0.755721i | 0.970730 | − | 0.240173i | \(-0.0772042\pi\) |
0.0905309 | + | 0.995894i | \(0.471144\pi\) | |||||||
\(150\) | 0.150342 | − | 1.57446i | 0.0122754 | − | 0.128554i | ||||
\(151\) | −15.3965 | − | 6.16385i | −1.25295 | − | 0.501607i | −0.352195 | − | 0.935927i | \(-0.614565\pi\) |
−0.900759 | + | 0.434320i | \(0.856989\pi\) | |||||||
\(152\) | 0.187238 | − | 3.93060i | 0.0151870 | − | 0.318814i | ||||
\(153\) | −5.04707 | + | 1.48195i | −0.408031 | + | 0.119809i | ||||
\(154\) | 1.35629 | − | 0.335517i | 0.109293 | − | 0.0270367i | ||||
\(155\) | −20.4537 | − | 17.7233i | −1.64288 | − | 1.42357i | ||||
\(156\) | 10.7880 | + | 5.56160i | 0.863731 | + | 0.445284i | ||||
\(157\) | 1.79642 | − | 0.346233i | 0.143370 | − | 0.0276324i | −0.117061 | − | 0.993125i | \(-0.537347\pi\) |
0.260431 | + | 0.965492i | \(0.416135\pi\) | |||||||
\(158\) | 1.12770 | + | 1.18270i | 0.0897153 | + | 0.0940907i | ||||
\(159\) | 3.36680 | − | 0.321490i | 0.267005 | − | 0.0254958i | ||||
\(160\) | −7.88143 | −0.623082 | ||||||||
\(161\) | −6.83019 | − | 10.6934i | −0.538295 | − | 0.842757i | ||||
\(162\) | −0.181216 | −0.0142377 | ||||||||
\(163\) | −7.91195 | + | 0.755499i | −0.619711 | + | 0.0591753i | −0.400190 | − | 0.916432i | \(-0.631056\pi\) |
−0.219522 | + | 0.975608i | \(0.570450\pi\) | |||||||
\(164\) | −10.8742 | − | 11.4046i | −0.849134 | − | 0.890546i | ||||
\(165\) | 10.6019 | − | 2.04335i | 0.825359 | − | 0.159075i | ||||
\(166\) | 1.03544 | + | 0.533807i | 0.0803658 | + | 0.0414314i | ||||
\(167\) | 5.34740 | + | 4.63355i | 0.413794 | + | 0.358555i | 0.836740 | − | 0.547600i | \(-0.184459\pi\) |
−0.422946 | + | 0.906155i | \(0.639004\pi\) | |||||||
\(168\) | −0.527638 | + | 1.82742i | −0.0407081 | + | 0.140988i | ||||
\(169\) | 24.0525 | − | 7.06245i | 1.85019 | − | 0.543265i | ||||
\(170\) | 0.168049 | − | 3.52779i | 0.0128888 | − | 0.270569i | ||||
\(171\) | −5.08153 | − | 2.03434i | −0.388594 | − | 0.155570i | ||||
\(172\) | −1.38119 | + | 14.4645i | −0.105315 | + | 1.10291i | ||||
\(173\) | 13.4454 | + | 9.57441i | 1.02223 | + | 0.727929i | 0.962776 | − | 0.270302i | \(-0.0871234\pi\) |
0.0594578 | + | 0.998231i | \(0.481063\pi\) | |||||||
\(174\) | −0.258288 | + | 0.0371362i | −0.0195808 | + | 0.00281529i | ||||
\(175\) | −15.0429 | + | 17.5195i | −1.13714 | + | 1.32435i | ||||
\(176\) | −3.12311 | − | 10.6363i | −0.235413 | − | 0.801744i | ||||
\(177\) | −2.62485 | + | 1.05083i | −0.197296 | + | 0.0789854i | ||||
\(178\) | −0.119117 | − | 0.344167i | −0.00892823 | − | 0.0257964i | ||||
\(179\) | −0.425662 | − | 8.93575i | −0.0318155 | − | 0.667889i | −0.957299 | − | 0.289101i | \(-0.906644\pi\) |
0.925483 | − | 0.378788i | \(-0.123659\pi\) | |||||||
\(180\) | −2.38385 | + | 6.88767i | −0.177681 | + | 0.513377i | ||||
\(181\) | −10.1352 | − | 2.97596i | −0.753342 | − | 0.221201i | −0.117556 | − | 0.993066i | \(-0.537506\pi\) |
−0.635787 | + | 0.771865i | \(0.719324\pi\) | |||||||
\(182\) | 1.36737 | + | 2.62320i | 0.101356 | + | 0.194445i | ||||
\(183\) | − | 8.42920i | − | 0.623105i | ||||||
\(184\) | 2.82300 | − | 1.97937i | 0.208115 | − | 0.145921i | ||||
\(185\) | 23.2658 | + | 13.4325i | 1.71054 | + | 0.987579i | ||||
\(186\) | −0.767825 | − | 1.07826i | −0.0562997 | − | 0.0790618i | ||||
\(187\) | 14.8965 | − | 3.61385i | 1.08934 | − | 0.264271i | ||||
\(188\) | −10.1739 | + | 8.81578i | −0.742011 | + | 0.642957i | ||||
\(189\) | 2.16207 | + | 1.52495i | 0.157267 | + | 0.110924i | ||||
\(190\) | 2.40669 | − | 2.77747i | 0.174600 | − | 0.201499i | ||||
\(191\) | −2.87309 | − | 7.17662i | −0.207889 | − | 0.519282i | 0.787377 | − | 0.616472i | \(-0.211439\pi\) |
−0.995266 | + | 0.0971902i | \(0.969014\pi\) | |||||||
\(192\) | 7.01901 | + | 1.70279i | 0.506553 | + | 0.122889i | ||||
\(193\) | 7.22974 | − | 3.72719i | 0.520408 | − | 0.268289i | −0.177948 | − | 0.984040i | \(-0.556946\pi\) |
0.698355 | + | 0.715751i | \(0.253915\pi\) | |||||||
\(194\) | −0.785013 | + | 0.617341i | −0.0563606 | + | 0.0443225i | ||||
\(195\) | 9.49647 | + | 20.7944i | 0.680056 | + | 1.48912i | ||||
\(196\) | 10.7468 | − | 8.60942i | 0.767630 | − | 0.614958i | ||||
\(197\) | 2.64487 | + | 18.3955i | 0.188439 | + | 1.31062i | 0.836050 | + | 0.548653i | \(0.184859\pi\) |
−0.647611 | + | 0.761971i | \(0.724232\pi\) | |||||||
\(198\) | 0.527484 | + | 0.0251272i | 0.0374867 | + | 0.00178571i | ||||
\(199\) | 4.30349 | − | 17.7392i | 0.305066 | − | 1.25750i | −0.588474 | − | 0.808516i | \(-0.700271\pi\) |
0.893540 | − | 0.448983i | \(-0.148214\pi\) | |||||||
\(200\) | −4.93211 | − | 3.87866i | −0.348753 | − | 0.274262i | ||||
\(201\) | 6.02625 | + | 1.16146i | 0.425059 | + | 0.0819234i | ||||
\(202\) | −0.284562 | − | 0.442787i | −0.0200217 | − | 0.0311544i | ||||
\(203\) | 3.39410 | + | 1.73045i | 0.238219 | + | 0.121454i | ||||
\(204\) | −2.91524 | + | 9.92839i | −0.204108 | + | 0.695126i | ||||
\(205\) | −2.82124 | − | 29.5453i | −0.197044 | − | 2.06354i | ||||
\(206\) | −0.409443 | + | 0.709177i | −0.0285273 | + | 0.0494107i | ||||
\(207\) | −1.31753 | − | 4.61130i | −0.0915747 | − | 0.320508i | ||||
\(208\) | 20.3262 | − | 11.7353i | 1.40937 | − | 0.813698i | ||||
\(209\) | 14.5092 | + | 6.62615i | 1.00363 | + | 0.458341i | ||||
\(210\) | −1.44237 | + | 1.03694i | −0.0995329 | + | 0.0715558i | ||||
\(211\) | −9.56801 | − | 11.0421i | −0.658689 | − | 0.760168i | 0.323873 | − | 0.946100i | \(-0.395015\pi\) |
−0.982562 | + | 0.185933i | \(0.940469\pi\) | |||||||
\(212\) | 3.04866 | − | 5.91357i | 0.209383 | − | 0.406145i | ||||
\(213\) | 7.13570 | − | 2.46969i | 0.488930 | − | 0.169220i | ||||
\(214\) | −0.919827 | + | 1.16965i | −0.0628781 | + | 0.0799560i | ||||
\(215\) | −18.8857 | + | 19.8067i | −1.28799 | + | 1.35081i | ||||
\(216\) | −0.388674 | + | 0.604789i | −0.0264459 | + | 0.0411507i | ||||
\(217\) | 0.0871654 | + | 19.3259i | 0.00591718 | + | 1.31193i | ||||
\(218\) | 2.57716 | − | 1.17695i | 0.174547 | − | 0.0797130i | ||||
\(219\) | 2.89147 | − | 4.06051i | 0.195388 | − | 0.274384i | ||||
\(220\) | 7.89393 | − | 19.7181i | 0.532209 | − | 1.32939i | ||||
\(221\) | 14.8716 | + | 28.8468i | 1.00037 | + | 1.94045i | ||||
\(222\) | 0.950963 | + | 0.906741i | 0.0638245 | + | 0.0608565i | ||||
\(223\) | 7.24826 | + | 1.04214i | 0.485379 | + | 0.0697870i | 0.380660 | − | 0.924715i | \(-0.375697\pi\) |
0.104719 | + | 0.994502i | \(0.466606\pi\) | |||||||
\(224\) | 3.70470 | + | 4.23669i | 0.247531 | + | 0.283076i | ||||
\(225\) | −7.34228 | + | 4.71860i | −0.489486 | + | 0.314573i | ||||
\(226\) | 2.65123 | + | 0.917600i | 0.176357 | + | 0.0610378i | ||||
\(227\) | −12.4511 | + | 11.8721i | −0.826408 | + | 0.787978i | −0.979756 | − | 0.200194i | \(-0.935843\pi\) |
0.153348 | + | 0.988172i | \(0.450994\pi\) | |||||||
\(228\) | −8.77094 | + | 6.24576i | −0.580869 | + | 0.413635i | ||||
\(229\) | 1.54507 | + | 2.67615i | 0.102101 | + | 0.176845i | 0.912550 | − | 0.408965i | \(-0.134110\pi\) |
−0.810449 | + | 0.585809i | \(0.800777\pi\) | |||||||
\(230\) | 3.21519 | + | 0.176680i | 0.212003 | + | 0.0116500i | ||||
\(231\) | −6.08189 | − | 4.73862i | −0.400159 | − | 0.311778i | ||||
\(232\) | −0.430041 | + | 0.941658i | −0.0282336 | + | 0.0618229i | ||||
\(233\) | −0.356389 | − | 1.46905i | −0.0233478 | − | 0.0962410i | 0.958946 | − | 0.283590i | \(-0.0915255\pi\) |
−0.982293 | + | 0.187349i | \(0.940010\pi\) | |||||||
\(234\) | 0.211600 | + | 1.09788i | 0.0138327 | + | 0.0717709i | ||||
\(235\) | −25.3268 | + | 1.20646i | −1.65214 | + | 0.0787010i | ||||
\(236\) | −1.05260 | + | 5.46141i | −0.0685184 | + | 0.355507i | ||||
\(237\) | 1.28336 | − | 8.92598i | 0.0833633 | − | 0.579805i | ||||
\(238\) | −1.97537 | + | 1.56792i | −0.128044 | + | 0.101633i | ||||
\(239\) | 0.514572 | + | 0.330695i | 0.0332849 | + | 0.0213909i | 0.557177 | − | 0.830393i | \(-0.311884\pi\) |
−0.523893 | + | 0.851784i | \(0.675521\pi\) | |||||||
\(240\) | 8.71256 | + | 11.0789i | 0.562393 | + | 0.715141i | ||||
\(241\) | −13.7413 | − | 1.31213i | −0.885155 | − | 0.0845220i | −0.357432 | − | 0.933939i | \(-0.616348\pi\) |
−0.527722 | + | 0.849417i | \(0.676954\pi\) | |||||||
\(242\) | 0.452434 | + | 0.0432023i | 0.0290836 | + | 0.00277715i | ||||
\(243\) | 0.618159 | + | 0.786053i | 0.0396549 | + | 0.0504253i | ||||
\(244\) | −13.9493 | − | 8.96469i | −0.893014 | − | 0.573905i | ||||
\(245\) | 25.9347 | − | 0.233951i | 1.65691 | − | 0.0149466i | ||||
\(246\) | 0.206589 | − | 1.43686i | 0.0131716 | − | 0.0916106i | ||||
\(247\) | −6.39135 | + | 33.1615i | −0.406672 | + | 2.11002i | ||||
\(248\) | −5.24541 | + | 0.249870i | −0.333084 | + | 0.0158667i | ||||
\(249\) | −1.21659 | − | 6.31229i | −0.0770985 | − | 0.400025i | ||||
\(250\) | −0.590088 | − | 2.43238i | −0.0373205 | − | 0.153837i | ||||
\(251\) | −2.65558 | + | 5.81491i | −0.167619 | + | 0.367034i | −0.974737 | − | 0.223356i | \(-0.928299\pi\) |
0.807118 | + | 0.590390i | \(0.201026\pi\) | |||||||
\(252\) | 4.82303 | − | 1.95613i | 0.303822 | − | 0.123225i | ||||
\(253\) | 3.19567 | + | 13.6053i | 0.200910 | + | 0.855356i | ||||
\(254\) | 0.244380 | + | 0.423279i | 0.0153338 | + | 0.0265589i | ||||
\(255\) | −15.8756 | + | 11.3049i | −0.994166 | + | 0.707943i | ||||
\(256\) | 9.72486 | − | 9.27264i | 0.607804 | − | 0.579540i | ||||
\(257\) | 12.7883 | + | 4.42608i | 0.797713 | + | 0.276091i | 0.695364 | − | 0.718657i | \(-0.255243\pi\) |
0.102349 | + | 0.994749i | \(0.467364\pi\) | |||||||
\(258\) | −1.12605 | + | 0.723669i | −0.0701048 | + | 0.0450536i | ||||
\(259\) | −3.71550 | − | 18.8206i | −0.230870 | − | 1.16946i | ||||
\(260\) | 44.5119 | + | 6.39985i | 2.76051 | + | 0.396902i | ||||
\(261\) | 1.04215 | + | 0.993686i | 0.0645074 | + | 0.0615076i | ||||
\(262\) | −1.72508 | − | 3.34618i | −0.106576 | − | 0.206728i | ||||
\(263\) | −1.74852 | + | 4.36760i | −0.107819 | + | 0.269318i | −0.972459 | − | 0.233073i | \(-0.925122\pi\) |
0.864641 | + | 0.502391i | \(0.167546\pi\) | |||||||
\(264\) | 1.21521 | − | 1.70653i | 0.0747911 | − | 0.105029i | ||||
\(265\) | 11.3987 | − | 5.20560i | 0.700215 | − | 0.319777i | ||||
\(266\) | −2.62432 | + | 0.0118364i | −0.160907 | + | 0.000725739i | ||||
\(267\) | −1.08655 | + | 1.69070i | −0.0664957 | + | 0.103469i | ||||
\(268\) | 8.33117 | − | 8.73748i | 0.508907 | − | 0.533726i | ||||
\(269\) | −17.7609 | + | 22.5848i | −1.08290 | + | 1.37702i | −0.162196 | + | 0.986759i | \(0.551858\pi\) |
−0.920704 | + | 0.390261i | \(0.872385\pi\) | |||||||
\(270\) | −0.634497 | + | 0.219602i | −0.0386143 | + | 0.0133645i | ||||
\(271\) | 4.49969 | − | 8.72818i | 0.273337 | − | 0.530199i | −0.711713 | − | 0.702471i | \(-0.752080\pi\) |
0.985050 | + | 0.172271i | \(0.0551105\pi\) | |||||||
\(272\) | 13.1036 | + | 15.1224i | 0.794524 | + | 0.916930i | ||||
\(273\) | 6.71422 | − | 14.8793i | 0.406363 | − | 0.900538i | ||||
\(274\) | −0.849363 | − | 0.387891i | −0.0513119 | − | 0.0234334i | ||||
\(275\) | 22.0262 | − | 12.7168i | 1.32823 | − | 0.766854i | ||||
\(276\) | −9.03239 | − | 2.72389i | −0.543686 | − | 0.163959i | ||||
\(277\) | −5.47613 | + | 9.48493i | −0.329028 | + | 0.569894i | −0.982319 | − | 0.187213i | \(-0.940055\pi\) |
0.653291 | + | 0.757107i | \(0.273388\pi\) | |||||||
\(278\) | 0.176174 | + | 1.84498i | 0.0105662 | + | 0.110654i | ||||
\(279\) | −2.05793 | + | 7.00868i | −0.123205 | + | 0.419599i | ||||
\(280\) | 0.367073 | + | 7.03779i | 0.0219368 | + | 0.420588i | ||||
\(281\) | −15.8859 | − | 24.7189i | −0.947672 | − | 1.47461i | −0.878918 | − | 0.476973i | \(-0.841734\pi\) |
−0.0687541 | − | 0.997634i | \(-0.521902\pi\) | |||||||
\(282\) | −1.21772 | − | 0.234697i | −0.0725144 | − | 0.0139760i | ||||
\(283\) | 2.55670 | + | 2.01061i | 0.151980 | + | 0.119518i | 0.691254 | − | 0.722612i | \(-0.257059\pi\) |
−0.539274 | + | 0.842131i | \(0.681301\pi\) | |||||||
\(284\) | 3.50197 | − | 14.4353i | 0.207804 | − | 0.856579i | ||||
\(285\) | −20.2573 | − | 0.964977i | −1.19994 | − | 0.0571603i | ||||
\(286\) | −0.463694 | − | 3.22506i | −0.0274188 | − | 0.190702i | ||||
\(287\) | −14.5561 | + | 15.4045i | −0.859217 | + | 0.909297i | ||||
\(288\) | 0.883663 | + | 1.93495i | 0.0520704 | + | 0.114018i | ||||
\(289\) | −8.38645 | + | 6.59517i | −0.493320 | + | 0.387951i | ||||
\(290\) | −0.859348 | + | 0.443025i | −0.0504627 | + | 0.0260153i | ||||
\(291\) | 5.35562 | + | 1.29926i | 0.313952 | + | 0.0761639i | ||||
\(292\) | −3.64449 | − | 9.10351i | −0.213278 | − | 0.532742i | ||||
\(293\) | 2.94929 | − | 3.40367i | 0.172300 | − | 0.198844i | −0.663032 | − | 0.748591i | \(-0.730730\pi\) |
0.835331 | + | 0.549747i | \(0.185276\pi\) | |||||||
\(294\) | 1.23540 | + | 0.287931i | 0.0720502 | + | 0.0167925i | ||||
\(295\) | −7.91704 | + | 6.86016i | −0.460948 | + | 0.399414i | ||||
\(296\) | 5.06578 | − | 1.22895i | 0.294443 | − | 0.0714310i | ||||
\(297\) | −1.69034 | − | 2.37376i | −0.0980838 | − | 0.137739i | ||||
\(298\) | 2.49581 | + | 1.44096i | 0.144578 | + | 0.0834724i | ||||
\(299\) | −26.3988 | + | 13.3666i | −1.52668 | + | 0.773011i | ||||
\(300\) | 17.1690i | 0.991251i | ||||||||
\(301\) | 19.5245 | + | 0.841824i | 1.12537 | + | 0.0485219i | ||||
\(302\) | −2.88365 | − | 0.846715i | −0.165935 | − | 0.0487230i | ||||
\(303\) | −0.949968 | + | 2.74475i | −0.0545742 | + | 0.157682i | ||||
\(304\) | 0.990745 | + | 20.7983i | 0.0568231 | + | 1.19286i | ||||
\(305\) | −10.2147 | − | 29.5134i | −0.584891 | − | 1.68993i | ||||
\(306\) | −0.884941 | + | 0.354277i | −0.0505887 | + | 0.0202527i | ||||
\(307\) | 0.362712 | + | 1.23528i | 0.0207011 | + | 0.0705014i | 0.969196 | − | 0.246292i | \(-0.0792121\pi\) |
−0.948495 | + | 0.316793i | \(0.897394\pi\) | |||||||
\(308\) | −14.3101 | + | 5.02516i | −0.815394 | + | 0.286335i | ||||
\(309\) | 4.47284 | − | 0.643098i | 0.254451 | − | 0.0365846i | ||||
\(310\) | −3.99506 | − | 2.84487i | −0.226904 | − | 0.161578i | ||||
\(311\) | −1.57147 | + | 16.4571i | −0.0891096 | + | 0.933198i | 0.834791 | + | 0.550566i | \(0.185588\pi\) |
−0.923901 | + | 0.382632i | \(0.875018\pi\) | |||||||
\(312\) | 4.11791 | + | 1.64856i | 0.233131 | + | 0.0933314i | ||||
\(313\) | 0.519612 | − | 10.9080i | 0.0293702 | − | 0.616557i | −0.935420 | − | 0.353538i | \(-0.884979\pi\) |
0.964791 | − | 0.263019i | \(-0.0847183\pi\) | |||||||
\(314\) | 0.318103 | − | 0.0934035i | 0.0179516 | − | 0.00527107i | ||||
\(315\) | 9.41806 | + | 2.71931i | 0.530648 | + | 0.153216i | ||||
\(316\) | −13.4065 | − | 11.6168i | −0.754177 | − | 0.653498i | ||||
\(317\) | 7.85472 | + | 4.04939i | 0.441165 | + | 0.227436i | 0.664474 | − | 0.747311i | \(-0.268656\pi\) |
−0.223309 | + | 0.974748i | \(0.571686\pi\) | |||||||
\(318\) | 0.601818 | − | 0.115991i | 0.0337483 | − | 0.00650445i | ||||
\(319\) | −2.89570 | − | 3.03693i | −0.162128 | − | 0.170035i | ||||
\(320\) | 26.6393 | − | 2.54375i | 1.48918 | − | 0.142200i | ||||
\(321\) | 8.21124 | 0.458307 | ||||||||
\(322\) | −1.41634 | − | 1.81139i | −0.0789294 | − | 0.100945i | ||||
\(323\) | −28.7920 | −1.60203 | ||||||||
\(324\) | 1.95825 | − | 0.186991i | 0.108792 | − | 0.0103884i | ||||
\(325\) | 37.1606 | + | 38.9729i | 2.06130 | + | 2.16183i | ||||
\(326\) | −1.41427 | + | 0.272578i | −0.0783290 | + | 0.0150967i | ||||
\(327\) | −13.8963 | − | 7.16405i | −0.768468 | − | 0.396173i | ||||
\(328\) | −4.35225 | − | 3.77125i | −0.240313 | − | 0.208232i | ||||
\(329\) | 12.5535 | + | 13.0474i | 0.692097 | + | 0.719326i | ||||
\(330\) | 1.87734 | − | 0.551238i | 0.103344 | − | 0.0303447i | ||||
\(331\) | 0.459240 | − | 9.64064i | 0.0252421 | − | 0.529897i | −0.950467 | − | 0.310826i | \(-0.899394\pi\) |
0.975709 | − | 0.219071i | \(-0.0703027\pi\) | |||||||
\(332\) | −11.7400 | − | 4.69997i | −0.644314 | − | 0.257944i | ||||
\(333\) | 0.689235 | − | 7.21799i | 0.0377698 | − | 0.395544i | ||||
\(334\) | 1.04446 | + | 0.743759i | 0.0571505 | + | 0.0406967i | ||||
\(335\) | 22.5073 | − | 3.23607i | 1.22971 | − | 0.176805i | ||||
\(336\) | 1.86014 | − | 9.89116i | 0.101479 | − | 0.539607i | ||||
\(337\) | −1.41811 | − | 4.82964i | −0.0772494 | − | 0.263087i | 0.911808 | − | 0.410616i | \(-0.134686\pi\) |
−0.989058 | + | 0.147529i | \(0.952868\pi\) | |||||||
\(338\) | 4.21731 | − | 1.68836i | 0.229391 | − | 0.0918345i | ||||
\(339\) | −5.06356 | − | 14.6302i | −0.275015 | − | 0.794604i | ||||
\(340\) | 1.82423 | + | 38.2953i | 0.0989327 | + | 2.07685i | ||||
\(341\) | 6.96205 | − | 20.1155i | 0.377016 | − | 1.08932i | ||||
\(342\) | −0.951729 | − | 0.279453i | −0.0514636 | − | 0.0151111i | ||||
\(343\) | −12.3165 | − | 13.8313i | −0.665026 | − | 0.746820i | ||||
\(344\) | 5.31020i | 0.286307i | ||||||||
\(345\) | −10.2012 | − | 14.5491i | −0.549213 | − | 0.783295i | ||||
\(346\) | 2.59041 | + | 1.49558i | 0.139262 | + | 0.0804027i | ||||
\(347\) | −10.8587 | − | 15.2489i | −0.582927 | − | 0.818606i | 0.412813 | − | 0.910816i | \(-0.364546\pi\) |
−0.995740 | + | 0.0922099i | \(0.970607\pi\) | |||||||
\(348\) | 2.75279 | − | 0.667819i | 0.147565 | − | 0.0357988i | ||||
\(349\) | 27.0901 | − | 23.4737i | 1.45010 | − | 1.25652i | 0.540295 | − | 0.841475i | \(-0.318313\pi\) |
0.909802 | − | 0.415041i | \(-0.136233\pi\) | |||||||
\(350\) | −2.41189 | + | 3.41956i | −0.128921 | + | 0.182783i | ||||
\(351\) | 4.04044 | − | 4.66291i | 0.215663 | − | 0.248888i | ||||
\(352\) | −2.30387 | − | 5.75479i | −0.122797 | − | 0.306731i | ||||
\(353\) | 11.2941 | + | 2.73993i | 0.601126 | + | 0.145832i | 0.524763 | − | 0.851248i | \(-0.324154\pi\) |
0.0763634 | + | 0.997080i | \(0.475669\pi\) | |||||||
\(354\) | −0.455411 | + | 0.234781i | −0.0242048 | + | 0.0124784i | ||||
\(355\) | 21.9916 | − | 17.2944i | 1.16719 | − | 0.917891i | ||||
\(356\) | 1.64234 | + | 3.59622i | 0.0870437 | + | 0.190599i | ||||
\(357\) | 13.5394 | + | 3.22003i | 0.716580 | + | 0.170422i | ||||
\(358\) | −0.230712 | − | 1.60464i | −0.0121935 | − | 0.0848077i | ||||
\(359\) | 20.1279 | + | 0.958811i | 1.06231 | + | 0.0506041i | 0.571453 | − | 0.820635i | \(-0.306380\pi\) |
0.490859 | + | 0.871239i | \(0.336683\pi\) | |||||||
\(360\) | −0.627979 | + | 2.58857i | −0.0330974 | + | 0.136429i | ||||
\(361\) | −8.61553 | − | 6.77533i | −0.453449 | − | 0.356596i | ||||
\(362\) | −1.87961 | − | 0.362265i | −0.0987899 | − | 0.0190402i | ||||
\(363\) | −1.35593 | − | 2.10987i | −0.0711681 | − | 0.110740i | ||||
\(364\) | −17.4828 | − | 26.9358i | −0.916346 | − | 1.41182i | ||||
\(365\) | 5.20339 | − | 17.7211i | 0.272358 | − | 0.927565i | ||||
\(366\) | −0.145199 | − | 1.52059i | −0.00758967 | − | 0.0794826i | ||||
\(367\) | −9.66872 | + | 16.7467i | −0.504703 | + | 0.874171i | 0.495282 | + | 0.868732i | \(0.335065\pi\) |
−0.999985 | + | 0.00543921i | \(0.998269\pi\) | |||||||
\(368\) | −13.8744 | + | 11.8461i | −0.723251 | + | 0.617519i | ||||
\(369\) | −6.93729 | + | 4.00525i | −0.361141 | + | 0.208505i | ||||
\(370\) | 4.42844 | + | 2.02240i | 0.230224 | + | 0.105140i | ||||
\(371\) | −8.15628 | − | 3.68048i | −0.423453 | − | 0.191081i | ||||
\(372\) | 9.40986 | + | 10.8596i | 0.487879 | + | 0.563042i | ||||
\(373\) | −0.301632 | + | 0.585084i | −0.0156179 | + | 0.0302945i | −0.896515 | − | 0.443013i | \(-0.853910\pi\) |
0.880897 | + | 0.473307i | \(0.156940\pi\) | |||||||
\(374\) | 2.62501 | − | 0.908525i | 0.135736 | − | 0.0469787i | ||||
\(375\) | −8.53792 | + | 10.8568i | −0.440896 | + | 0.560645i | ||||
\(376\) | −3.39506 | + | 3.56064i | −0.175087 | + | 0.183626i | ||||
\(377\) | 4.80329 | − | 7.47407i | 0.247382 | − | 0.384934i | ||||
\(378\) | 0.416296 | + | 0.237851i | 0.0214119 | + | 0.0122338i | ||||
\(379\) | −10.8621 | + | 4.96057i | −0.557950 | + | 0.254807i | −0.674371 | − | 0.738393i | \(-0.735585\pi\) |
0.116421 | + | 0.993200i | \(0.462858\pi\) | |||||||
\(380\) | −23.1412 | + | 32.4972i | −1.18712 | + | 1.66707i | ||||
\(381\) | 1.00242 | − | 2.50391i | 0.0513553 | − | 0.128279i | ||||
\(382\) | −0.641914 | − | 1.24514i | −0.0328432 | − | 0.0637069i | ||||
\(383\) | 8.04189 | + | 7.66793i | 0.410922 | + | 0.391813i | 0.867148 | − | 0.498051i | \(-0.165951\pi\) |
−0.456226 | + | 0.889864i | \(0.650799\pi\) | |||||||
\(384\) | 5.50659 | + | 0.791728i | 0.281007 | + | 0.0404027i | ||||
\(385\) | −27.0370 | − | 9.22127i | −1.37794 | − | 0.469960i | ||||
\(386\) | 1.24001 | − | 0.796906i | 0.0631148 | − | 0.0405614i | ||||
\(387\) | 6.98017 | + | 2.41586i | 0.354822 | + | 0.122805i | ||||
\(388\) | 7.84597 | − | 7.48112i | 0.398319 | − | 0.379796i | ||||
\(389\) | −7.00924 | + | 4.99126i | −0.355383 | + | 0.253067i | −0.743779 | − | 0.668426i | \(-0.766969\pi\) |
0.388396 | + | 0.921492i | \(0.373029\pi\) | |||||||
\(390\) | 2.07132 | + | 3.58763i | 0.104885 | + | 0.181667i | ||||
\(391\) | −15.4490 | − | 19.9428i | −0.781291 | − | 1.00855i | ||||
\(392\) | 3.61064 | − | 3.50546i | 0.182365 | − | 0.177053i | ||||
\(393\) | −8.63005 | + | 18.8972i | −0.435329 | + | 0.953237i | ||||
\(394\) | 0.793998 | + | 3.27291i | 0.0400011 | + | 0.164887i | ||||
\(395\) | −6.32322 | − | 32.8080i | −0.318156 | − | 1.65075i | ||||
\(396\) | −5.72601 | + | 0.272764i | −0.287743 | + | 0.0137069i | ||||
\(397\) | 6.45806 | − | 33.5076i | 0.324121 | − | 1.68170i | −0.345045 | − | 0.938586i | \(-0.612136\pi\) |
0.669166 | − | 0.743113i | \(-0.266652\pi\) | |||||||
\(398\) | 0.470760 | − | 3.27421i | 0.0235971 | − | 0.164121i | ||||
\(399\) | 9.00333 | + | 11.3430i | 0.450730 | + | 0.567860i | ||||
\(400\) | 27.9304 | + | 17.9498i | 1.39652 | + | 0.897488i | ||||
\(401\) | −5.75150 | − | 7.31362i | −0.287216 | − | 0.365225i | 0.620939 | − | 0.783859i | \(-0.286751\pi\) |
−0.908155 | + | 0.418634i | \(0.862509\pi\) | |||||||
\(402\) | 1.10712 | + | 0.105717i | 0.0552179 | + | 0.00527267i | ||||
\(403\) | 44.8645 | + | 4.28404i | 2.23486 | + | 0.213403i | ||||
\(404\) | 3.53192 | + | 4.49120i | 0.175720 | + | 0.223446i | ||||
\(405\) | 3.11693 | + | 2.00313i | 0.154882 | + | 0.0995363i | ||||
\(406\) | 0.642090 | + | 0.253700i | 0.0318664 | + | 0.0125909i | ||||
\(407\) | −3.00706 | + | 20.9146i | −0.149055 | + | 1.03670i | ||||
\(408\) | −0.715670 | + | 3.71325i | −0.0354309 | + | 0.183833i | ||||
\(409\) | −29.9116 | + | 1.42486i | −1.47903 | + | 0.0704550i | −0.771502 | − | 0.636227i | \(-0.780494\pi\) |
−0.707531 | + | 0.706682i | \(0.750191\pi\) | |||||||
\(410\) | −1.01788 | − | 5.28125i | −0.0502694 | − | 0.260822i | ||||
\(411\) | 1.21478 | + | 5.00740i | 0.0599208 | + | 0.246997i | ||||
\(412\) | 3.69274 | − | 8.08597i | 0.181928 | − | 0.398367i | ||||
\(413\) | 7.40914 | + | 1.03119i | 0.364580 | + | 0.0507414i | ||||
\(414\) | −0.317110 | − | 0.809164i | −0.0155851 | − | 0.0397682i | ||||
\(415\) | −11.9090 | − | 20.6271i | −0.584592 | − | 1.01254i | ||||
\(416\) | 10.6909 | − | 7.61298i | 0.524166 | − | 0.373257i | ||||
\(417\) | 7.40191 | − | 7.05771i | 0.362473 | − | 0.345617i | ||||
\(418\) | 2.73155 | + | 0.945397i | 0.133604 | + | 0.0462409i | ||||
\(419\) | −32.4946 | + | 20.8830i | −1.58747 | + | 1.02020i | −0.614598 | + | 0.788840i | \(0.710682\pi\) |
−0.972868 | + | 0.231362i | \(0.925682\pi\) | |||||||
\(420\) | 14.5165 | − | 12.6937i | 0.708333 | − | 0.619389i | ||||
\(421\) | 32.5474 | + | 4.67961i | 1.58626 | + | 0.228070i | 0.878276 | − | 0.478154i | \(-0.158694\pi\) |
0.707988 | + | 0.706225i | \(0.249603\pi\) | |||||||
\(422\) | −1.91624 | − | 1.82713i | −0.0932809 | − | 0.0889431i | ||||
\(423\) | 3.13583 | + | 6.08265i | 0.152469 | + | 0.295749i | ||||
\(424\) | 0.903678 | − | 2.25728i | 0.0438865 | − | 0.109623i | ||||
\(425\) | −26.6301 | + | 37.3967i | −1.29175 | + | 1.81401i | ||||
\(426\) | 1.24471 | − | 0.568439i | 0.0603063 | − | 0.0275410i | ||||
\(427\) | −11.0636 | + | 19.3638i | −0.535403 | + | 0.937081i | ||||
\(428\) | 8.73288 | − | 13.5886i | 0.422120 | − | 0.656831i | ||||
\(429\) | −12.4075 | + | 13.0126i | −0.599038 | + | 0.628253i | ||||
\(430\) | −3.06571 | + | 3.89837i | −0.147842 | + | 0.187996i | ||||
\(431\) | −5.97164 | + | 2.06681i | −0.287644 | + | 0.0995546i | −0.467080 | − | 0.884215i | \(-0.654694\pi\) |
0.179436 | + | 0.983770i | \(0.442573\pi\) | |||||||
\(432\) | 1.74311 | − | 3.38117i | 0.0838656 | − | 0.162677i | ||||
\(433\) | 2.12928 | + | 2.45732i | 0.102327 | + | 0.118091i | 0.804603 | − | 0.593813i | \(-0.202378\pi\) |
−0.702276 | + | 0.711905i | \(0.747833\pi\) | |||||||
\(434\) | 0.348626 | + | 3.48480i | 0.0167346 | + | 0.167276i | ||||
\(435\) | 4.85307 | + | 2.21632i | 0.232687 | + | 0.106265i | ||||
\(436\) | −26.6348 | + | 15.3776i | −1.27557 | + | 0.736453i | ||||
\(437\) | 0.191539 | − | 26.2499i | 0.00916257 | − | 1.25570i | ||||
\(438\) | 0.451664 | − | 0.782306i | 0.0215814 | − | 0.0373800i | ||||
\(439\) | −0.105934 | − | 1.10939i | −0.00505594 | − | 0.0529482i | 0.992592 | − | 0.121497i | \(-0.0387693\pi\) |
−0.997648 | + | 0.0685483i | \(0.978163\pi\) | |||||||
\(440\) | 2.18685 | − | 7.44773i | 0.104254 | − | 0.355056i | ||||
\(441\) | −2.96522 | − | 6.34093i | −0.141201 | − | 0.301949i | ||||
\(442\) | 3.17967 | + | 4.94767i | 0.151242 | + | 0.235337i | ||||
\(443\) | −18.8129 | − | 3.62590i | −0.893830 | − | 0.172272i | −0.278402 | − | 0.960465i | \(-0.589805\pi\) |
−0.615428 | + | 0.788193i | \(0.711017\pi\) | |||||||
\(444\) | −11.2119 | − | 8.81714i | −0.532093 | − | 0.418443i | ||||
\(445\) | −1.75553 | + | 7.23640i | −0.0832202 | + | 0.343038i | ||||
\(446\) | 1.32551 | + | 0.0631416i | 0.0627645 | + | 0.00298984i | ||||
\(447\) | −2.26326 | − | 15.7413i | −0.107048 | − | 0.744538i | ||||
\(448\) | −13.8893 | − | 13.1244i | −0.656209 | − | 0.620068i | ||||
\(449\) | 9.16675 | + | 20.0724i | 0.432606 | + | 0.947275i | 0.992897 | + | 0.118979i | \(0.0379621\pi\) |
−0.560291 | + | 0.828296i | \(0.689311\pi\) | |||||||
\(450\) | −1.24324 | + | 0.977691i | −0.0586067 | + | 0.0460888i | ||||
\(451\) | 20.7484 | − | 10.6966i | 0.977006 | − | 0.503682i | ||||
\(452\) | −29.5965 | − | 7.18003i | −1.39210 | − | 0.337720i | ||||
\(453\) | 6.16385 | + | 15.3965i | 0.289603 | + | 0.723393i | ||||
\(454\) | −2.04162 | + | 2.35615i | −0.0958179 | + | 0.110580i | ||||
\(455\) | 5.47760 | − | 60.2338i | 0.256794 | − | 2.82381i | ||||
\(456\) | −2.97392 | + | 2.57692i | −0.139267 | + | 0.120675i | ||||
\(457\) | −17.3692 | + | 4.21373i | −0.812498 | + | 0.197110i | −0.620420 | − | 0.784270i | \(-0.713038\pi\) |
−0.192078 | + | 0.981380i | \(0.561523\pi\) | |||||||
\(458\) | 0.324823 | + | 0.456150i | 0.0151780 | + | 0.0213145i | ||||
\(459\) | 4.55541 | + | 2.63007i | 0.212628 | + | 0.122761i | ||||
\(460\) | −34.9262 | + | 1.40840i | −1.62844 | + | 0.0656670i | ||||
\(461\) | − | 14.2311i | − | 0.662809i | −0.943489 | − | 0.331404i | \(-0.892478\pi\) | ||
0.943489 | − | 0.331404i | \(-0.107522\pi\) | |||||||
\(462\) | −1.17877 | − | 0.750061i | −0.0548415 | − | 0.0348960i | ||||
\(463\) | −22.6985 | − | 6.66489i | −1.05489 | − | 0.309744i | −0.292098 | − | 0.956388i | \(-0.594353\pi\) |
−0.762791 | + | 0.646645i | \(0.776172\pi\) | |||||||
\(464\) | 1.79157 | − | 5.17640i | 0.0831716 | − | 0.240308i | ||||
\(465\) | 1.28777 | + | 27.0335i | 0.0597187 | + | 1.25365i | ||||
\(466\) | −0.0895965 | − | 0.258872i | −0.00415048 | − | 0.0119920i | ||||
\(467\) | 8.09350 | − | 3.24015i | 0.374522 | − | 0.149936i | −0.176762 | − | 0.984254i | \(-0.556562\pi\) |
0.551284 | + | 0.834317i | \(0.314138\pi\) | |||||||
\(468\) | −3.41945 | − | 11.6456i | −0.158064 | − | 0.538317i | ||||
\(469\) | −12.3192 | − | 10.5778i | −0.568849 | − | 0.488436i | ||||
\(470\) | −4.54806 | + | 0.653912i | −0.209786 | + | 0.0301627i | ||||
\(471\) | −1.49026 | − | 1.06121i | −0.0686673 | − | 0.0488978i | ||||
\(472\) | −0.193215 | + | 2.02344i | −0.00889345 | + | 0.0931364i | ||||
\(473\) | −19.9829 | − | 7.99995i | −0.918815 | − | 0.367838i | ||||
\(474\) | 0.0777567 | − | 1.63231i | 0.00357148 | − | 0.0749747i | ||||
\(475\) | −45.8375 | + | 13.4591i | −2.10317 | + | 0.617546i | ||||
\(476\) | 19.7283 | − | 18.9815i | 0.904244 | − | 0.870014i | ||||
\(477\) | −2.55603 | − | 2.21481i | −0.117033 | − | 0.101409i | ||||
\(478\) | 0.0985229 | + | 0.0507921i | 0.00450633 | + | 0.00232318i | ||||
\(479\) | −29.3860 | + | 5.66368i | −1.34268 | + | 0.258780i | −0.809449 | − | 0.587191i | \(-0.800234\pi\) |
−0.533230 | + | 0.845971i | \(0.679022\pi\) | |||||||
\(480\) | 5.43881 | + | 5.70406i | 0.248247 | + | 0.260353i | ||||
\(481\) | −44.5345 | + | 4.25252i | −2.03060 | + | 0.193898i | ||||
\(482\) | −2.50147 | −0.113939 | ||||||||
\(483\) | −3.02579 | + | 12.3225i | −0.137678 | + | 0.560694i | ||||
\(484\) | −4.93366 | −0.224257 | ||||||||
\(485\) | 20.3262 | − | 1.94092i | 0.922967 | − | 0.0881327i | ||||
\(486\) | 0.125054 | + | 0.131152i | 0.00567254 | + | 0.00594919i | ||||
\(487\) | 12.2167 | − | 2.35458i | 0.553592 | − | 0.106696i | 0.0952196 | − | 0.995456i | \(-0.469645\pi\) |
0.458373 | + | 0.888760i | \(0.348433\pi\) | |||||||
\(488\) | −5.38623 | − | 2.77679i | −0.243823 | − | 0.125700i | ||||
\(489\) | 6.00665 | + | 5.20479i | 0.271630 | + | 0.235369i | ||||
\(490\) | 4.67447 | − | 0.488946i | 0.211171 | − | 0.0220883i | ||||
\(491\) | −23.5924 | + | 6.92736i | −1.06471 | + | 0.312627i | −0.766747 | − | 0.641950i | \(-0.778126\pi\) |
−0.297964 | + | 0.954577i | \(0.596308\pi\) | |||||||
\(492\) | −0.749793 | + | 15.7401i | −0.0338033 | + | 0.709618i | ||||
\(493\) | 7.03182 | + | 2.81512i | 0.316697 | + | 0.126786i | ||||
\(494\) | −0.581743 | + | 6.09228i | −0.0261738 | + | 0.274105i | ||||
\(495\) | −8.79501 | − | 6.26290i | −0.395307 | − | 0.281497i | ||||
\(496\) | 27.5041 | − | 3.95449i | 1.23497 | − | 0.177562i | ||||
\(497\) | −19.6339 | − | 3.69236i | −0.880701 | − | 0.165625i | ||||
\(498\) | −0.328202 | − | 1.11775i | −0.0147071 | − | 0.0500877i | ||||
\(499\) | 7.17753 | − | 2.87345i | 0.321310 | − | 0.128633i | −0.205400 | − | 0.978678i | \(-0.565850\pi\) |
0.526710 | + | 0.850045i | \(0.323425\pi\) | |||||||
\(500\) | 8.88648 | + | 25.6758i | 0.397415 | + | 1.14826i | ||||
\(501\) | −0.336672 | − | 7.06761i | −0.0150414 | − | 0.315757i | ||||
\(502\) | −0.378889 | + | 1.09473i | −0.0169107 | + | 0.0488601i | ||||
\(503\) | −31.4079 | − | 9.22220i | −1.40041 | − | 0.411198i | −0.507585 | − | 0.861602i | \(-0.669462\pi\) |
−0.892825 | + | 0.450404i | \(0.851280\pi\) | |||||||
\(504\) | 1.68668 | − | 0.879194i | 0.0751306 | − | 0.0391624i | ||||
\(505\) | 10.7615i | 0.478879i | ||||||||
\(506\) | 0.810846 | + | 2.39928i | 0.0360465 | + | 0.106661i | ||||
\(507\) | −21.7095 | − | 12.5340i | −0.964151 | − | 0.556653i | ||||
\(508\) | −3.07758 | − | 4.32186i | −0.136546 | − | 0.191751i | ||||
\(509\) | 41.7763 | − | 10.1348i | 1.85170 | − | 0.449218i | 0.854205 | − | 0.519936i | \(-0.174044\pi\) |
0.997496 | + | 0.0707183i | \(0.0225292\pi\) | |||||||
\(510\) | −2.66915 | + | 2.31283i | −0.118192 | + | 0.102414i | ||||
\(511\) | −11.9719 | + | 5.53278i | −0.529606 | + | 0.244756i | ||||
\(512\) | 8.88086 | − | 10.2491i | 0.392482 | − | 0.452949i | ||||
\(513\) | 2.03434 | + | 5.08153i | 0.0898182 | + | 0.224355i | ||||
\(514\) | 2.38320 | + | 0.578158i | 0.105118 | + | 0.0255014i | ||||
\(515\) | 14.8816 | − | 7.67198i | 0.655760 | − | 0.338068i | ||||
\(516\) | 11.4216 | − | 8.98202i | 0.502806 | − | 0.395411i | ||||
\(517\) | −8.28435 | − | 18.1402i | −0.364345 | − | 0.797805i | ||||
\(518\) | −0.994458 | − | 3.33116i | −0.0436940 | − | 0.146363i | ||||
\(519\) | −2.34905 | − | 16.3380i | −0.103112 | − | 0.717158i | ||||
\(520\) | 16.4159 | + | 0.781985i | 0.719885 | + | 0.0342923i | ||||
\(521\) | 6.59845 | − | 27.1992i | 0.289083 | − | 1.19162i | −0.623201 | − | 0.782062i | \(-0.714168\pi\) |
0.912285 | − | 0.409557i | \(-0.134317\pi\) | |||||||
\(522\) | 0.205116 | + | 0.161305i | 0.00897768 | + | 0.00706013i | ||||
\(523\) | 4.47264 | + | 0.862031i | 0.195575 | + | 0.0376940i | 0.286098 | − | 0.958200i | \(-0.407642\pi\) |
−0.0905230 | + | 0.995894i | \(0.528854\pi\) | |||||||
\(524\) | 22.0943 | + | 34.3794i | 0.965193 | + | 1.50187i | ||||
\(525\) | 23.0602 | − | 1.20276i | 1.00643 | − | 0.0524928i | ||||
\(526\) | −0.240191 | + | 0.818015i | −0.0104728 | + | 0.0356672i | ||||
\(527\) | 3.65234 | + | 38.2491i | 0.159099 | + | 1.66615i | ||||
\(528\) | −5.54268 | + | 9.60021i | −0.241214 | + | 0.417795i | ||||
\(529\) | 18.2848 | − | 13.9523i | 0.794990 | − | 0.606622i | ||||
\(530\) | 1.96660 | − | 1.13542i | 0.0854237 | − | 0.0493194i | ||||
\(531\) | 2.57188 | + | 1.17454i | 0.111610 | + | 0.0509706i | ||||
\(532\) | 28.3466 | − | 2.83584i | 1.22898 | − | 0.122949i | ||||
\(533\) | 32.3659 | + | 37.3523i | 1.40192 | + | 1.61791i | ||||
\(534\) | −0.166885 | + | 0.323712i | −0.00722182 | + | 0.0140084i | ||||
\(535\) | 28.7502 | − | 9.95055i | 1.24298 | − | 0.430200i | ||||
\(536\) | 2.72737 | − | 3.46813i | 0.117804 | − | 0.149801i | ||||
\(537\) | −6.17336 | + | 6.47444i | −0.266400 | + | 0.279393i | ||||
\(538\) | −2.81495 | + | 4.38014i | −0.121361 | + | 0.188841i | ||||
\(539\) | 7.75195 | + | 18.8684i | 0.333900 | + | 0.812717i | ||||
\(540\) | 6.62988 | − | 3.02777i | 0.285305 | − | 0.130294i | ||||
\(541\) | −11.2080 | + | 15.7394i | −0.481867 | + | 0.676688i | −0.981918 | − | 0.189308i | \(-0.939375\pi\) |
0.500050 | + | 0.865996i | \(0.333315\pi\) | |||||||
\(542\) | 0.661376 | − | 1.65204i | 0.0284085 | − | 0.0709611i | ||||
\(543\) | 4.84028 | + | 9.38883i | 0.207716 | + | 0.402913i | ||||
\(544\) | 8.09806 | + | 7.72148i | 0.347201 | + | 0.331056i | ||||
\(545\) | −57.3371 | − | 8.24383i | −2.45605 | − | 0.353127i | ||||
\(546\) | 0.954910 | − | 2.79982i | 0.0408664 | − | 0.119821i | ||||
\(547\) | −9.71000 | + | 6.24024i | −0.415169 | + | 0.266813i | −0.731508 | − | 0.681833i | \(-0.761183\pi\) |
0.316338 | + | 0.948647i | \(0.397547\pi\) | |||||||
\(548\) | 9.57861 | + | 3.31519i | 0.409178 | + | 0.141618i | ||||
\(549\) | −6.10050 | + | 5.81682i | −0.260363 | + | 0.248256i | ||||
\(550\) | 3.75437 | − | 2.67348i | 0.160087 | − | 0.113997i | ||||
\(551\) | 3.94090 | + | 6.82583i | 0.167888 | + | 0.290790i | ||||
\(552\) | −3.38063 | − | 0.677184i | −0.143889 | − | 0.0288228i | ||||
\(553\) | −14.6638 | + | 18.8206i | −0.623567 | + | 0.800333i | ||||
\(554\) | −0.824485 | + | 1.80537i | −0.0350290 | + | 0.0767028i | ||||
\(555\) | −6.33368 | − | 26.1078i | −0.268850 | − | 1.10821i | ||||
\(556\) | −3.80753 | − | 19.7553i | −0.161475 | − | 0.837813i | ||||
\(557\) | 24.8810 | − | 1.18523i | 1.05424 | − | 0.0502198i | 0.486705 | − | 0.873567i | \(-0.338199\pi\) |
0.567539 | + | 0.823347i | \(0.307896\pi\) | |||||||
\(558\) | −0.250513 | + | 1.29979i | −0.0106051 | + | 0.0550243i | ||||
\(559\) | 6.48580 | − | 45.1097i | 0.274320 | − | 1.90794i | ||||
\(560\) | −5.47337 | − | 36.8863i | −0.231292 | − | 1.55873i | ||||
\(561\) | −12.8952 | − | 8.28726i | −0.544437 | − | 0.349888i | ||||
\(562\) | −3.29154 | − | 4.18554i | −0.138845 | − | 0.176556i | ||||
\(563\) | −3.14152 | − | 0.299979i | −0.132399 | − | 0.0126426i | 0.0286460 | − | 0.999590i | \(-0.490880\pi\) |
−0.161045 | + | 0.986947i | \(0.551487\pi\) | |||||||
\(564\) | 13.4011 | + | 1.27965i | 0.564288 | + | 0.0538830i | ||||
\(565\) | −35.4584 | − | 45.0890i | −1.49175 | − | 1.89691i | ||||
\(566\) | 0.495852 | + | 0.318665i | 0.0208422 | + | 0.0133945i | ||||
\(567\) | −0.388337 | − | 2.61710i | −0.0163086 | − | 0.109908i | ||||
\(568\) | 0.772559 | − | 5.37327i | 0.0324159 | − | 0.225457i | ||||
\(569\) | 5.04891 | − | 26.1963i | 0.211661 | − | 1.09820i | −0.708215 | − | 0.705996i | \(-0.750499\pi\) |
0.919877 | − | 0.392207i | \(-0.128288\pi\) | |||||||
\(570\) | −3.67096 | + | 0.174869i | −0.153760 | + | 0.00732447i | ||||
\(571\) | 5.57451 | + | 28.9233i | 0.233286 | + | 1.21040i | 0.889893 | + | 0.456169i | \(0.150779\pi\) |
−0.656607 | + | 0.754233i | \(0.728009\pi\) | |||||||
\(572\) | 8.33858 | + | 34.3721i | 0.348654 | + | 1.43717i | ||||
\(573\) | −3.21131 | + | 7.03178i | −0.134154 | + | 0.293757i | ||||
\(574\) | −2.36050 | + | 3.02964i | −0.0985252 | + | 0.126455i | ||||
\(575\) | −33.9176 | − | 24.5276i | −1.41446 | − | 1.02287i | ||||
\(576\) | −3.61130 | − | 6.25496i | −0.150471 | − | 0.260623i | ||||
\(577\) | 37.9732 | − | 27.0406i | 1.58084 | − | 1.12571i | 0.650213 | − | 0.759752i | \(-0.274680\pi\) |
0.930630 | − | 0.365962i | \(-0.119260\pi\) | |||||||
\(578\) | −1.39927 | + | 1.33420i | −0.0582020 | + | 0.0554955i | ||||
\(579\) | −7.68658 | − | 2.66035i | −0.319443 | − | 0.110560i | ||||
\(580\) | 8.82912 | − | 5.67413i | 0.366609 | − | 0.235606i | ||||
\(581\) | −5.49026 | + | 16.0976i | −0.227774 | + | 0.667841i | ||||
\(582\) | 0.988511 | + | 0.142126i | 0.0409751 | + | 0.00589133i | ||||
\(583\) | 7.13300 | + | 6.80130i | 0.295419 | + | 0.281681i | ||||
\(584\) | −1.64212 | − | 3.18528i | −0.0679516 | − | 0.131808i | ||||
\(585\) | 8.49628 | − | 21.2227i | 0.351278 | − | 0.877449i | ||||
\(586\) | 0.473409 | − | 0.664810i | 0.0195564 | − | 0.0274631i | ||||
\(587\) | −10.2744 | + | 4.69214i | −0.424068 | + | 0.193665i | −0.616006 | − | 0.787742i | \(-0.711250\pi\) |
0.191938 | + | 0.981407i | \(0.438523\pi\) | |||||||
\(588\) | −13.6471 | − | 1.83667i | −0.562796 | − | 0.0757428i | ||||
\(589\) | −21.6161 | + | 33.6353i | −0.890677 | + | 1.38592i | ||||
\(590\) | −1.31003 | + | 1.37392i | −0.0539330 | + | 0.0565634i | ||||
\(591\) | 11.4883 | − | 14.6085i | 0.472564 | − | 0.600914i | ||||
\(592\) | −26.0654 | + | 9.02134i | −1.07128 | + | 0.370775i | ||||
\(593\) | −13.4067 | + | 26.0054i | −0.550549 | + | 1.06792i | 0.435301 | + | 0.900285i | \(0.356642\pi\) |
−0.985850 | + | 0.167631i | \(0.946388\pi\) | |||||||
\(594\) | −0.345820 | − | 0.399098i | −0.0141892 | − | 0.0163752i | ||||
\(595\) | 51.3079 | − | 5.13293i | 2.10342 | − | 0.210430i | ||||
\(596\) | −28.4570 | − | 12.9959i | −1.16564 | − | 0.532332i | ||||
\(597\) | −15.8082 | + | 9.12688i | −0.646987 | + | 0.373538i | ||||
\(598\) | −4.53198 | + | 2.86602i | −0.185326 | + | 0.117200i | ||||
\(599\) | 9.59283 | − | 16.6153i | 0.391952 | − | 0.678882i | −0.600755 | − | 0.799434i | \(-0.705133\pi\) |
0.992707 | + | 0.120552i | \(0.0384664\pi\) | |||||||
\(600\) | 0.596432 | + | 6.24612i | 0.0243492 | + | 0.254997i | ||||
\(601\) | −5.20778 | + | 17.7361i | −0.212430 | + | 0.723469i | 0.782478 | + | 0.622678i | \(0.213955\pi\) |
−0.994908 | + | 0.100791i | \(0.967863\pi\) | |||||||
\(602\) | 3.53663 | − | 0.184461i | 0.144142 | − | 0.00751809i | ||||
\(603\) | −3.31800 | − | 5.16290i | −0.135119 | − | 0.210250i | ||||
\(604\) | 32.0349 | + | 6.17422i | 1.30348 | + | 0.251225i | ||||
\(605\) | −7.30435 | − | 5.74421i | −0.296964 | − | 0.233535i | ||||
\(606\) | −0.124090 | + | 0.511505i | −0.00504080 | + | 0.0207785i | ||||
\(607\) | 21.5274 | + | 1.02548i | 0.873772 | + | 0.0416229i | 0.479675 | − | 0.877446i | \(-0.340755\pi\) |
0.394097 | + | 0.919069i | \(0.371058\pi\) | |||||||
\(608\) | 1.65703 | + | 11.5249i | 0.0672013 | + | 0.467395i | ||||
\(609\) | −1.08981 | − | 3.65058i | −0.0441615 | − | 0.147929i | ||||
\(610\) | −2.35107 | − | 5.14813i | −0.0951922 | − | 0.208442i | ||||
\(611\) | 33.1897 | − | 26.1007i | 1.34271 | − | 1.05592i | ||||
\(612\) | 9.19726 | − | 4.74152i | 0.371777 | − | 0.191664i | ||||
\(613\) | 23.3638 | + | 5.66800i | 0.943656 | + | 0.228929i | 0.677935 | − | 0.735121i | \(-0.262875\pi\) |
0.265721 | + | 0.964050i | \(0.414390\pi\) | |||||||
\(614\) | 0.0867103 | + | 0.216592i | 0.00349934 | + | 0.00874094i | ||||
\(615\) | −19.4361 | + | 22.4304i | −0.783738 | + | 0.904482i | ||||
\(616\) | −5.03149 | + | 2.32529i | −0.202724 | + | 0.0936885i | ||||
\(617\) | −16.2646 | + | 14.0933i | −0.654787 | + | 0.567376i | −0.917617 | − | 0.397466i | \(-0.869890\pi\) |
0.262830 | + | 0.964842i | \(0.415344\pi\) | |||||||
\(618\) | 0.795804 | − | 0.193060i | 0.0320119 | − | 0.00776601i | ||||
\(619\) | 21.2544 | + | 29.8476i | 0.854286 | + | 1.19968i | 0.978258 | + | 0.207391i | \(0.0664974\pi\) |
−0.123972 | + | 0.992286i | \(0.539563\pi\) | |||||||
\(620\) | 46.1068 | + | 26.6198i | 1.85169 | + | 1.06908i | ||||
\(621\) | −2.42816 | + | 4.13570i | −0.0974386 | + | 0.165960i | ||||
\(622\) | 2.99586i | 0.120123i | ||||||||
\(623\) | 4.71515 | − | 2.45781i | 0.188908 | − | 0.0984700i | ||||
\(624\) | −22.5199 | − | 6.61244i | −0.901518 | − | 0.264710i | ||||
\(625\) | −2.46458 | + | 7.12092i | −0.0985830 | + | 0.284837i | ||||
\(626\) | −0.0941622 | − | 1.97671i | −0.00376348 | − | 0.0790051i | ||||
\(627\) | −5.21696 | − | 15.0734i | −0.208345 | − | 0.601974i | ||||
\(628\) | −3.34110 | + | 1.33757i | −0.133324 | + | 0.0533750i | ||||
\(629\) | −10.7454 | − | 36.5954i | −0.428446 | − | 1.45915i | ||||
\(630\) | 1.74582 | + | 0.328320i | 0.0695551 | + | 0.0130806i | ||||
\(631\) | −10.6669 | + | 1.53366i | −0.424641 | + | 0.0610541i | −0.351323 | − | 0.936254i | \(-0.614268\pi\) |
−0.0733182 | + | 0.997309i | \(0.523359\pi\) | |||||||
\(632\) | −5.28089 | − | 3.76051i | −0.210063 | − | 0.149585i | ||||
\(633\) | −1.38884 | + | 14.5446i | −0.0552015 | + | 0.578096i | ||||
\(634\) | 1.48671 | + | 0.595189i | 0.0590448 | + | 0.0236380i | ||||
\(635\) | 0.475490 | − | 9.98176i | 0.0188692 | − | 0.396114i | ||||
\(636\) | −6.38366 | + | 1.87441i | −0.253129 | + | 0.0743253i | ||||
\(637\) | −34.9537 | + | 25.3687i | −1.38491 | + | 1.00514i | ||||
\(638\) | −0.574685 | − | 0.497968i | −0.0227520 | − | 0.0197147i | ||||
\(639\) | −6.71160 | − | 3.46007i | −0.265507 | − | 0.136878i | ||||
\(640\) | 20.2398 | − | 3.90090i | 0.800048 | − | 0.154197i | ||||
\(641\) | 4.61005 | + | 4.83488i | 0.182086 | + | 0.190966i | 0.808451 | − | 0.588564i | \(-0.200306\pi\) |
−0.626365 | + | 0.779530i | \(0.715458\pi\) | |||||||
\(642\) | 1.48127 | − | 0.141444i | 0.0584612 | − | 0.00558236i | ||||
\(643\) | 14.0911 | 0.555700 | 0.277850 | − | 0.960624i | \(-0.410378\pi\) | ||||
0.277850 | + | 0.960624i | \(0.410378\pi\) | |||||||
\(644\) | 17.1743 | + | 18.1127i | 0.676762 | + | 0.713739i | ||||
\(645\) | 27.3674 | 1.07759 | ||||||||
\(646\) | −5.19395 | + | 0.495962i | −0.204353 | + | 0.0195134i | ||||
\(647\) | 29.6784 | + | 31.1258i | 1.16678 | + | 1.22368i | 0.969966 | + | 0.243240i | \(0.0782101\pi\) |
0.196811 | + | 0.980441i | \(0.436941\pi\) | |||||||
\(648\) | 0.705922 | − | 0.136055i | 0.0277312 | − | 0.00534476i | ||||
\(649\) | −7.32337 | − | 3.77546i | −0.287467 | − | 0.148200i | ||||
\(650\) | 7.37495 | + | 6.39043i | 0.289269 | + | 0.250653i | ||||
\(651\) | 13.9266 | − | 13.3995i | 0.545828 | − | 0.525166i | ||||
\(652\) | 15.0015 | − | 4.40485i | 0.587506 | − | 0.172507i | ||||
\(653\) | −0.565724 | + | 11.8760i | −0.0221385 | + | 0.464744i | 0.960393 | + | 0.278648i | \(0.0898864\pi\) |
−0.982532 | + | 0.186096i | \(0.940417\pi\) | |||||||
\(654\) | −2.63024 | − | 1.05299i | −0.102851 | − | 0.0411752i | ||||
\(655\) | −7.31663 | + | 76.6233i | −0.285885 | + | 2.99392i | ||||
\(656\) | 24.8220 | + | 17.6757i | 0.969135 | + | 0.690118i | ||||
\(657\) | −4.93407 | + | 0.709413i | −0.192497 | + | 0.0276768i | ||||
\(658\) | 2.48935 | + | 2.13745i | 0.0970448 | + | 0.0833265i | ||||
\(659\) | −13.6714 | − | 46.5604i | −0.532560 | − | 1.81373i | −0.579679 | − | 0.814845i | \(-0.696822\pi\) |
0.0471191 | − | 0.998889i | \(-0.484996\pi\) | |||||||
\(660\) | −19.7181 | + | 7.89393i | −0.767526 | + | 0.307271i | ||||
\(661\) | −2.79140 | − | 8.06521i | −0.108573 | − | 0.313700i | 0.877607 | − | 0.479382i | \(-0.159139\pi\) |
−0.986179 | + | 0.165681i | \(0.947018\pi\) | |||||||
\(662\) | −0.0832218 | − | 1.74704i | −0.00323451 | − | 0.0679006i | ||||
\(663\) | 10.6149 | − | 30.6697i | 0.412247 | − | 1.19111i | ||||
\(664\) | −4.43430 | − | 1.30203i | −0.172084 | − | 0.0505285i | ||||
\(665\) | 45.2693 | + | 28.8051i | 1.75547 | + | 1.11701i | ||||
\(666\) | − | 1.31397i | − | 0.0509152i | ||||||
\(667\) | −2.61334 | + | 6.39223i | −0.101189 | + | 0.247508i | ||||
\(668\) | −12.0541 | − | 6.95944i | −0.466387 | − | 0.269269i | ||||
\(669\) | −4.24764 | − | 5.96497i | −0.164223 | − | 0.230619i | ||||
\(670\) | 4.00448 | − | 0.971478i | 0.154707 | − | 0.0375315i | ||||
\(671\) | 18.5639 | − | 16.0857i | 0.716651 | − | 0.620982i | ||||
\(672\) | 0.509701 | − | 5.60487i | 0.0196621 | − | 0.216212i | ||||
\(673\) | 14.9159 | − | 17.2138i | 0.574965 | − | 0.663545i | −0.391550 | − | 0.920157i | \(-0.628061\pi\) |
0.966514 | + | 0.256612i | \(0.0826064\pi\) | |||||||
\(674\) | −0.339015 | − | 0.846819i | −0.0130584 | − | 0.0326182i | ||||
\(675\) | 8.48177 | + | 2.05765i | 0.326463 | + | 0.0791992i | ||||
\(676\) | −43.8308 | + | 22.5964i | −1.68580 | + | 0.869090i | ||||
\(677\) | −21.7633 | + | 17.1149i | −0.836433 | + | 0.657778i | −0.941621 | − | 0.336674i | \(-0.890698\pi\) |
0.105188 | + | 0.994452i | \(0.466455\pi\) | |||||||
\(678\) | −1.16546 | − | 2.55200i | −0.0447592 | − | 0.0980091i | ||||
\(679\) | −10.5978 | − | 10.0141i | −0.406706 | − | 0.384306i | ||||
\(680\) | 1.99400 | + | 13.8686i | 0.0764663 | + | 0.531835i | ||||
\(681\) | 17.1845 | + | 0.818597i | 0.658510 | + | 0.0313687i | ||||
\(682\) | 0.909420 | − | 3.74868i | 0.0348235 | − | 0.143544i | ||||
\(683\) | −0.227842 | − | 0.179177i | −0.00871813 | − | 0.00685602i | 0.613790 | − | 0.789469i | \(-0.289644\pi\) |
−0.622509 | + | 0.782613i | \(0.713886\pi\) | |||||||
\(684\) | 10.5729 | + | 2.03776i | 0.404265 | + | 0.0779157i | ||||
\(685\) | 10.3214 | + | 16.0604i | 0.394361 | + | 0.613638i | ||||
\(686\) | −2.46009 | − | 2.28295i | −0.0939267 | − | 0.0871633i | ||||
\(687\) | 0.870596 | − | 2.96498i | 0.0332153 | − | 0.113121i | ||||
\(688\) | −2.67091 | − | 27.9710i | −0.101827 | − | 1.06638i | ||||
\(689\) | −10.4337 | + | 18.0717i | −0.397492 | + | 0.688476i | ||||
\(690\) | −2.09087 | − | 2.44887i | −0.0795979 | − | 0.0932267i | ||||
\(691\) | 16.9863 | − | 9.80705i | 0.646189 | − | 0.373078i | −0.140805 | − | 0.990037i | \(-0.544969\pi\) |
0.786995 | + | 0.616960i | \(0.211636\pi\) | |||||||
\(692\) | −29.5357 | − | 13.4885i | −1.12278 | − | 0.512756i | ||||
\(693\) | 0.767490 | + | 7.67169i | 0.0291545 | + | 0.291424i | ||||
\(694\) | −2.22154 | − | 2.56379i | −0.0843285 | − | 0.0973203i | ||||
\(695\) | 17.3638 | − | 33.6811i | 0.658647 | − | 1.27760i | ||||
\(696\) | 0.978272 | − | 0.338583i | 0.0370813 | − | 0.0128340i | ||||
\(697\) | −26.0469 | + | 33.1214i | −0.986599 | + | 1.25456i | ||||
\(698\) | 4.48258 | − | 4.70119i | 0.169668 | − | 0.177943i | ||||
\(699\) | −0.817268 | + | 1.27169i | −0.0309119 | + | 0.0480999i | ||||
\(700\) | 22.5347 | − | 39.4411i | 0.851733 | − | 1.49073i | ||||
\(701\) | −21.6795 | + | 9.90069i | −0.818823 | + | 0.373944i | −0.780371 | − | 0.625316i | \(-0.784970\pi\) |
−0.0384518 | + | 0.999260i | \(0.512243\pi\) | |||||||
\(702\) | 0.648556 | − | 0.910769i | 0.0244782 | − | 0.0343748i | ||||
\(703\) | 14.7506 | − | 36.8453i | 0.556331 | − | 1.38965i | ||||
\(704\) | 9.64448 | + | 18.7077i | 0.363490 | + | 0.705072i | ||||
\(705\) | 18.3506 | + | 17.4973i | 0.691125 | + | 0.658986i | ||||
\(706\) | 2.08461 | + | 0.299722i | 0.0784554 | + | 0.0112802i | ||||
\(707\) | 5.78486 | − | 5.05847i | 0.217562 | − | 0.190243i | ||||
\(708\) | 4.67898 | − | 3.00700i | 0.175847 | − | 0.113010i | ||||
\(709\) | 31.4003 | + | 10.8678i | 1.17926 | + | 0.408147i | 0.845224 | − | 0.534412i | \(-0.179467\pi\) |
0.334039 | + | 0.942559i | \(0.391588\pi\) | |||||||
\(710\) | 3.66928 | − | 3.49865i | 0.137706 | − | 0.131302i | ||||
\(711\) | −7.34565 | + | 5.23082i | −0.275484 | + | 0.196171i | ||||
\(712\) | 0.722415 | + | 1.25126i | 0.0270737 | + | 0.0468930i | ||||
\(713\) | −34.8962 | + | 3.07541i | −1.30687 | + | 0.115175i | ||||
\(714\) | 2.49791 | + | 0.347654i | 0.0934820 | + | 0.0130106i | ||||
\(715\) | −27.6737 | + | 60.5969i | −1.03494 | + | 2.26620i | ||||
\(716\) | 4.14888 | + | 17.1019i | 0.155051 | + | 0.639129i | ||||
\(717\) | −0.115760 | − | 0.600619i | −0.00432313 | − | 0.0224305i | ||||
\(718\) | 3.64751 | − | 0.173752i | 0.136124 | − | 0.00648437i | ||||
\(719\) | 3.89889 | − | 20.2294i | 0.145404 | − | 0.754429i | −0.833881 | − | 0.551944i | \(-0.813886\pi\) |
0.979285 | − | 0.202485i | \(-0.0649017\pi\) | |||||||
\(720\) | 2.00584 | − | 13.9509i | 0.0747532 | − | 0.519920i | ||||
\(721\) | −11.1192 | − | 4.39339i | −0.414102 | − | 0.163618i | ||||
\(722\) | −1.67091 | − | 1.07383i | −0.0621850 | − | 0.0399639i | ||||
\(723\) | 8.53294 | + | 10.8505i | 0.317344 | + | 0.403535i | ||||
\(724\) | 20.6852 | + | 1.97519i | 0.768758 | + | 0.0734075i | ||||
\(725\) | 12.5108 | + | 1.19463i | 0.464638 | + | 0.0443676i | ||||
\(726\) | −0.280949 | − | 0.357255i | −0.0104270 | − | 0.0132590i | ||||
\(727\) | 15.6656 | + | 10.0677i | 0.581006 | + | 0.373390i | 0.797886 | − | 0.602808i | \(-0.205952\pi\) |
−0.216880 | + | 0.976198i | \(0.569588\pi\) | |||||||
\(728\) | −7.29600 | − | 9.19199i | −0.270408 | − | 0.340678i | ||||
\(729\) | 0.142315 | − | 0.989821i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | 0.633410 | − | 3.28644i | 0.0234436 | − | 0.121637i | ||||
\(731\) | 38.8096 | − | 1.84873i | 1.43542 | − | 0.0683777i | ||||
\(732\) | 3.13809 | + | 16.2819i | 0.115987 | + | 0.601798i | ||||
\(733\) | 7.18961 | + | 29.6360i | 0.265554 | + | 1.09463i | 0.935812 | + | 0.352500i | \(0.114669\pi\) |
−0.670257 | + | 0.742129i | \(0.733816\pi\) | |||||||
\(734\) | −1.45572 | + | 3.18759i | −0.0537317 | + | 0.117656i | ||||
\(735\) | −18.0663 | − | 18.6084i | −0.666385 | − | 0.686380i | ||||
\(736\) | −7.09360 | + | 7.33169i | −0.261474 | + | 0.270250i | ||||
\(737\) | 8.94215 | + | 15.4883i | 0.329388 | + | 0.570517i | ||||
\(738\) | −1.18246 | + | 0.842029i | −0.0435271 | + | 0.0309955i | ||||
\(739\) | 0.609451 | − | 0.581111i | 0.0224190 | − | 0.0213765i | −0.678787 | − | 0.734335i | \(-0.737494\pi\) |
0.701206 | + | 0.712959i | \(0.252645\pi\) | |||||||
\(740\) | −49.9413 | − | 17.2849i | −1.83588 | − | 0.635404i | ||||
\(741\) | 28.4106 | − | 18.2584i | 1.04369 | − | 0.670739i | ||||
\(742\) | −1.53476 | − | 0.523445i | −0.0563427 | − | 0.0192163i | ||||
\(743\) | 39.2165 | + | 5.63848i | 1.43871 | + | 0.206856i | 0.817113 | − | 0.576478i | \(-0.195573\pi\) |
0.621602 | + | 0.783334i | \(0.286482\pi\) | |||||||
\(744\) | 3.80058 | + | 3.62385i | 0.139336 | + | 0.132857i | ||||
\(745\) | −27.0000 | − | 52.3728i | −0.989205 | − | 1.91879i | ||||
\(746\) | −0.0443346 | + | 0.110742i | −0.00162320 | + | 0.00405457i | ||||
\(747\) | −3.72887 | + | 5.23647i | −0.136432 | + | 0.191592i | ||||
\(748\) | −27.4288 | + | 12.5263i | −1.00290 | + | 0.458008i | ||||
\(749\) | −18.8631 | − | 10.7775i | −0.689243 | − | 0.393801i | ||||
\(750\) | −1.35319 | + | 2.10560i | −0.0494114 | + | 0.0768856i | ||||
\(751\) | 13.0789 | − | 13.7167i | 0.477255 | − | 0.500530i | −0.440459 | − | 0.897773i | \(-0.645184\pi\) |
0.917714 | + | 0.397242i | \(0.130033\pi\) | |||||||
\(752\) | 16.0923 | − | 20.4630i | 0.586825 | − | 0.746208i | ||||
\(753\) | 6.04101 | − | 2.09081i | 0.220146 | − | 0.0761934i | ||||
\(754\) | 0.737747 | − | 1.43103i | 0.0268672 | − | 0.0521150i | ||||
\(755\) | 40.2395 | + | 46.4389i | 1.46447 | + | 1.69008i | ||||
\(756\) | −4.74399 | − | 2.14070i | −0.172537 | − | 0.0778566i | ||||
\(757\) | −35.6453 | − | 16.2786i | −1.29555 | − | 0.591657i | −0.356132 | − | 0.934435i | \(-0.615905\pi\) |
−0.939416 | + | 0.342778i | \(0.888632\pi\) | |||||||
\(758\) | −1.87403 | + | 1.08197i | −0.0680679 | + | 0.0392990i | ||||
\(759\) | 7.64133 | − | 11.7015i | 0.277363 | − | 0.424739i | ||||
\(760\) | −7.28990 | + | 12.6265i | −0.264433 | + | 0.458011i | ||||
\(761\) | −0.978529 | − | 10.2476i | −0.0354716 | − | 0.371476i | −0.995727 | − | 0.0923511i | \(-0.970562\pi\) |
0.960255 | − | 0.279125i | \(-0.0900443\pi\) | |||||||
\(762\) | 0.137700 | − | 0.468962i | 0.00498834 | − | 0.0169887i | ||||
\(763\) | 22.5200 | + | 34.6968i | 0.815280 | + | 1.25611i | ||||
\(764\) | 8.22145 | + | 12.7928i | 0.297442 | + | 0.462828i | ||||
\(765\) | 19.1372 | + | 3.68838i | 0.691905 | + | 0.133354i | ||||
\(766\) | 1.58281 | + | 1.24473i | 0.0571892 | + | 0.0449741i | ||||
\(767\) | 4.11275 | − | 16.9530i | 0.148503 | − | 0.612137i | ||||
\(768\) | −13.4218 | − | 0.639361i | −0.484319 | − | 0.0230710i | ||||
\(769\) | −6.00524 | − | 41.7674i | −0.216555 | − | 1.50617i | −0.750624 | − | 0.660730i | \(-0.770247\pi\) |
0.534069 | − | 0.845441i | \(-0.320662\pi\) | |||||||
\(770\) | −5.03621 | − | 1.19775i | −0.181492 | − | 0.0431638i | ||||
\(771\) | −5.62164 | − | 12.3097i | −0.202459 | − | 0.443322i | ||||
\(772\) | −12.5775 | + | 9.89102i | −0.452672 | + | 0.355986i | ||||
\(773\) | −29.6824 | + | 15.3024i | −1.06760 | + | 0.550387i | −0.900189 | − | 0.435499i | \(-0.856572\pi\) |
−0.167414 | + | 0.985887i | \(0.553542\pi\) | |||||||
\(774\) | 1.30081 | + | 0.315572i | 0.0467566 | + | 0.0113430i | ||||
\(775\) | 23.6945 | + | 59.1860i | 0.851131 | + | 2.12602i | ||||
\(776\) | 2.59450 | − | 2.99421i | 0.0931371 | − | 0.107486i | ||||
\(777\) | −11.0572 | + | 15.6768i | −0.396673 | + | 0.562401i | ||||
\(778\) | −1.17846 | + | 1.02114i | −0.0422498 | + | 0.0366097i | ||||
\(779\) | −42.6104 | + | 10.3372i | −1.52668 | + | 0.370368i | ||||
\(780\) | −26.0850 | − | 36.6312i | −0.933992 | − | 1.31161i | ||||
\(781\) | 19.0564 | + | 11.0022i | 0.681890 | + | 0.393690i | ||||
\(782\) | −3.13047 | − | 3.33148i | −0.111945 | − | 0.119133i | ||||
\(783\) | − | 1.43996i | − | 0.0514600i | ||||||
\(784\) | −17.2556 | + | 20.2808i | −0.616271 | + | 0.724314i | ||||
\(785\) | −6.50386 | − | 1.90971i | −0.232133 | − | 0.0681603i | ||||
\(786\) | −1.23131 | + | 3.55763i | −0.0439193 | + | 0.126896i | ||||
\(787\) | 0.0544255 | + | 1.14253i | 0.00194006 | + | 0.0407269i | 0.999630 | − | 0.0272086i | \(-0.00866183\pi\) |
−0.997690 | + | 0.0679355i | \(0.978359\pi\) | |||||||
\(788\) | −11.9573 | − | 34.5483i | −0.425960 | − | 1.23073i | ||||
\(789\) | 4.36760 | − | 1.74852i | 0.155491 | − | 0.0622490i | ||||
\(790\) | −1.70582 | − | 5.80949i | −0.0606904 | − | 0.206692i | ||||
\(791\) | −7.57038 | + | 40.2550i | −0.269172 | + | 1.43130i | ||||
\(792\) | −2.07366 | + | 0.298148i | −0.0736844 | + | 0.0105942i | ||||
\(793\) | 42.3641 | + | 30.1673i | 1.50439 | + | 1.07127i | ||||
\(794\) | 0.587815 | − | 6.15587i | 0.0208608 | − | 0.218464i | ||||
\(795\) | −11.6335 | − | 4.65733i | −0.412596 | − | 0.165179i | ||||
\(796\) | −1.70857 | + | 35.8674i | −0.0605588 | + | 1.27129i | ||||
\(797\) | 40.0772 | − | 11.7677i | 1.41961 | − | 0.416834i | 0.520237 | − | 0.854022i | \(-0.325844\pi\) |
0.899370 | + | 0.437188i | \(0.144026\pi\) | |||||||
\(798\) | 1.81955 | + | 1.89114i | 0.0644114 | + | 0.0669456i | ||||
\(799\) | 27.2049 | + | 23.5732i | 0.962440 | + | 0.833959i | ||||
\(800\) | 16.5018 | + | 8.50725i | 0.583425 | + | 0.300777i | ||||
\(801\) | 1.97342 | − | 0.380346i | 0.0697275 | − | 0.0134389i | ||||
\(802\) | −1.16353 | − | 1.22027i | −0.0410856 | − | 0.0430893i | ||||
\(803\) | 14.4605 | − | 1.38081i | 0.510299 | − | 0.0487276i | ||||
\(804\) | −12.0728 | −0.425774 | ||||||||
\(805\) | 4.33840 | + | 46.8119i | 0.152909 | + | 1.64990i | ||||
\(806\) | 8.16716 | 0.287676 | ||||||||
\(807\) | 28.6018 | − | 2.73114i | 1.00683 | − | 0.0961407i | ||||
\(808\) | 1.44094 | + | 1.51122i | 0.0506922 | + | 0.0531644i | ||||
\(809\) | −1.45086 | + | 0.279630i | −0.0510095 | + | 0.00983127i | −0.214692 | − | 0.976682i | \(-0.568875\pi\) |
0.163683 | + | 0.986513i | \(0.447663\pi\) | |||||||
\(810\) | 0.596786 | + | 0.307665i | 0.0209689 | + | 0.0108102i | ||||
\(811\) | −29.6061 | − | 25.6539i | −1.03961 | − | 0.900829i | −0.0444438 | − | 0.999012i | \(-0.514152\pi\) |
−0.995168 | + | 0.0981828i | \(0.968697\pi\) | |||||||
\(812\) | −7.20032 | − | 2.07897i | −0.252682 | − | 0.0729577i | ||||
\(813\) | −9.42203 | + | 2.76656i | −0.330445 | + | 0.0970274i | ||||
\(814\) | −0.182193 | + | 3.82470i | −0.00638585 | + | 0.134056i | ||||
\(815\) | 27.3385 | + | 10.9447i | 0.957626 | + | 0.383376i | ||||
\(816\) | 1.90205 | − | 19.9192i | 0.0665851 | − | 0.697311i | ||||
\(817\) | 32.9337 | + | 23.4519i | 1.15220 | + | 0.820480i | ||||
\(818\) | −5.37137 | + | 0.772287i | −0.187806 | + | 0.0270024i | ||||
\(819\) | −15.4020 | + | 5.40860i | −0.538190 | + | 0.188992i | ||||
\(820\) | 16.4489 | + | 56.0198i | 0.574420 | + | 1.95630i | ||||
\(821\) | 15.9010 | − | 6.36580i | 0.554949 | − | 0.222168i | −0.0771991 | − | 0.997016i | \(-0.524598\pi\) |
0.632148 | + | 0.774848i | \(0.282173\pi\) | |||||||
\(822\) | 0.305398 | + | 0.882388i | 0.0106520 | + | 0.0307768i | ||||
\(823\) | −1.20233 | − | 25.2400i | −0.0419106 | − | 0.879812i | −0.917738 | − | 0.397187i | \(-0.869986\pi\) |
0.875827 | − | 0.482625i | \(-0.160317\pi\) | |||||||
\(824\) | 1.06253 | − | 3.06998i | 0.0370150 | − | 0.106948i | ||||
\(825\) | −24.4034 | − | 7.16549i | −0.849618 | − | 0.249470i | ||||
\(826\) | 1.35434 | + | 0.0583941i | 0.0471235 | + | 0.00203179i | ||||
\(827\) | − | 19.1206i | − | 0.664887i | −0.943123 | − | 0.332443i | \(-0.892127\pi\) | ||
0.943123 | − | 0.332443i | \(-0.107873\pi\) | |||||||
\(828\) | 4.26169 | + | 8.41675i | 0.148104 | + | 0.292502i | ||||
\(829\) | 16.1589 | + | 9.32932i | 0.561220 | + | 0.324021i | 0.753635 | − | 0.657293i | \(-0.228299\pi\) |
−0.192415 | + | 0.981314i | \(0.561632\pi\) | |||||||
\(830\) | −2.50366 | − | 3.51589i | −0.0869032 | − | 0.122038i | ||||
\(831\) | 10.6435 | − | 2.58209i | 0.369220 | − | 0.0895717i | ||||
\(832\) | −33.6784 | + | 29.1825i | −1.16759 | + | 1.01172i | ||||
\(833\) | −26.8767 | − | 25.1680i | −0.931223 | − | 0.872018i | ||||
\(834\) | 1.21370 | − | 1.40068i | 0.0420269 | − | 0.0485017i | ||||
\(835\) | −9.74347 | − | 24.3380i | −0.337187 | − | 0.842251i | ||||
\(836\) | −30.4931 | − | 7.39754i | −1.05462 | − | 0.255849i | ||||
\(837\) | 6.49256 | − | 3.34715i | 0.224416 | − | 0.115694i | ||||
\(838\) | −5.50216 | + | 4.32695i | −0.190069 | + | 0.149472i | ||||
\(839\) | −20.7706 | − | 45.4812i | −0.717080 | − | 1.57019i | −0.817952 | − | 0.575286i | \(-0.804891\pi\) |
0.100872 | − | 0.994899i | \(-0.467837\pi\) | |||||||
\(840\) | 4.84018 | − | 5.12229i | 0.167002 | − | 0.176736i | ||||
\(841\) | 3.83204 | + | 26.6524i | 0.132139 | + | 0.919050i | ||||
\(842\) | 5.95202 | + | 0.283530i | 0.205120 | + | 0.00977108i | ||||
\(843\) | −6.92740 | + | 28.5552i | −0.238592 | + | 0.983492i | ||||
\(844\) | 22.5925 | + | 17.7669i | 0.777666 | + | 0.611563i | ||||
\(845\) | −91.2008 | − | 17.5775i | −3.13740 | − | 0.604685i | ||||
\(846\) | 0.670467 | + | 1.04327i | 0.0230511 | + | 0.0358683i | ||||
\(847\) | 0.345624 | + | 6.62657i | 0.0118758 | + | 0.227692i | ||||
\(848\) | −3.62469 | + | 12.3446i | −0.124472 | + | 0.423914i | ||||
\(849\) | −0.309177 | − | 3.23785i | −0.0106109 | − | 0.111123i | ||||
\(850\) | −4.15976 | + | 7.20492i | −0.142679 | + | 0.247127i | ||||
\(851\) | 33.4358 | − | 9.55318i | 1.14616 | − | 0.327479i | ||||
\(852\) | −12.8640 | + | 7.42702i | −0.440712 | + | 0.254445i | ||||
\(853\) | 36.9361 | + | 16.8682i | 1.26467 | + | 0.577555i | 0.930960 | − | 0.365121i | \(-0.118972\pi\) |
0.333709 | + | 0.942676i | \(0.391700\pi\) | |||||||
\(854\) | −1.66226 | + | 3.68373i | −0.0568815 | + | 0.126055i | ||||
\(855\) | 13.2808 | + | 15.3268i | 0.454193 | + | 0.524167i | ||||
\(856\) | 2.70499 | − | 5.24695i | 0.0924547 | − | 0.179337i | ||||
\(857\) | −18.8067 | + | 6.50908i | −0.642426 | + | 0.222346i | −0.628807 | − | 0.777561i | \(-0.716456\pi\) |
−0.0136190 | + | 0.999907i | \(0.504335\pi\) | |||||||
\(858\) | −2.01410 | + | 2.56114i | −0.0687603 | + | 0.0874359i | ||||
\(859\) | 16.3122 | − | 17.1078i | 0.556566 | − | 0.583710i | −0.383995 | − | 0.923335i | \(-0.625452\pi\) |
0.940561 | + | 0.339626i | \(0.110300\pi\) | |||||||
\(860\) | 29.1060 | − | 45.2898i | 0.992507 | − | 1.54437i | ||||
\(861\) | 21.1936 | − | 0.0955893i | 0.722275 | − | 0.00325767i | ||||
\(862\) | −1.04166 | + | 0.475709i | −0.0354790 | + | 0.0162027i | ||||
\(863\) | 12.3816 | − | 17.3875i | 0.421474 | − | 0.591878i | −0.548179 | − | 0.836361i | \(-0.684679\pi\) |
0.969654 | + | 0.244483i | \(0.0786183\pi\) | |||||||
\(864\) | 0.790594 | − | 1.97481i | 0.0268965 | − | 0.0671843i | ||||
\(865\) | −28.0235 | − | 54.3580i | −0.952827 | − | 1.84823i | ||||
\(866\) | 0.426442 | + | 0.406612i | 0.0144911 | + | 0.0138172i | ||||
\(867\) | 10.5605 | + | 1.51837i | 0.358652 | + | 0.0515664i | ||||
\(868\) | −7.36315 | − | 37.2976i | −0.249922 | − | 1.26596i | ||||
\(869\) | 22.1070 | − | 14.2073i | 0.749930 | − | 0.481951i | ||||
\(870\) | 0.913650 | + | 0.316217i | 0.0309757 | + | 0.0107208i | ||||
\(871\) | −27.4047 | + | 26.1304i | −0.928574 | + | 0.885394i | ||||
\(872\) | −9.15560 | + | 6.51967i | −0.310048 | + | 0.220784i | ||||
\(873\) | −2.75548 | − | 4.77264i | −0.0932590 | − | 0.161529i | ||||
\(874\) | −0.417619 | − | 4.73866i | −0.0141262 | − | 0.160288i | ||||
\(875\) | 33.8635 | − | 13.7344i | 1.14479 | − | 0.464308i | ||||
\(876\) | −4.07353 | + | 8.91978i | −0.137632 | + | 0.301372i | ||||
\(877\) | −2.08231 | − | 8.58338i | −0.0703145 | − | 0.289840i | 0.925788 | − | 0.378043i | \(-0.123403\pi\) |
−0.996103 | + | 0.0882027i | \(0.971888\pi\) | |||||||
\(878\) | −0.0382199 | − | 0.198304i | −0.00128986 | − | 0.00669243i | ||||
\(879\) | −4.49859 | + | 0.214294i | −0.151734 | + | 0.00722797i | ||||
\(880\) | −7.77301 | + | 40.3302i | −0.262028 | + | 1.35953i | ||||
\(881\) | 2.55262 | − | 17.7539i | 0.0860001 | − | 0.598144i | −0.900558 | − | 0.434735i | \(-0.856842\pi\) |
0.986558 | − | 0.163409i | \(-0.0522489\pi\) | |||||||
\(882\) | −0.644140 | − | 1.09280i | −0.0216893 | − | 0.0367965i | ||||
\(883\) | −9.43462 | − | 6.06326i | −0.317500 | − | 0.204045i | 0.372177 | − | 0.928162i | \(-0.378611\pi\) |
−0.689677 | + | 0.724117i | \(0.742248\pi\) | |||||||
\(884\) | −39.4654 | − | 50.1844i | −1.32737 | − | 1.68788i | ||||
\(885\) | 10.4283 | + | 0.995783i | 0.350544 | + | 0.0334729i | ||||
\(886\) | −3.45623 | − | 0.330030i | −0.116114 | − | 0.0110876i | ||||
\(887\) | 8.45589 | + | 10.7525i | 0.283921 | + | 0.361035i | 0.907005 | − | 0.421120i | \(-0.138363\pi\) |
−0.623084 | + | 0.782155i | \(0.714120\pi\) | |||||||
\(888\) | −4.38522 | − | 2.81821i | −0.147158 | − | 0.0945729i | ||||
\(889\) | −5.58924 | + | 4.43637i | −0.187457 | + | 0.148791i | ||||
\(890\) | −0.192038 | + | 1.33566i | −0.00643714 | + | 0.0447713i | ||||
\(891\) | −0.551497 | + | 2.86144i | −0.0184759 | + | 0.0958618i | ||||
\(892\) | −14.3888 | + | 0.685423i | −0.481772 | + | 0.0229496i | ||||
\(893\) | 7.08900 | + | 36.7812i | 0.237224 | + | 1.23084i | ||||
\(894\) | −0.679437 | − | 2.80068i | −0.0227238 | − | 0.0936686i | ||||
\(895\) | −13.7691 | + | 30.1501i | −0.460250 | + | 1.00781i | ||||
\(896\) | −11.6107 | − | 9.04634i | −0.387888 | − | 0.302217i | ||||
\(897\) | 27.8911 | + | 9.88168i | 0.931257 | + | 0.329940i | ||||
\(898\) | 1.99940 | + | 3.46307i | 0.0667210 | + | 0.115564i | ||||
\(899\) | 8.56794 | − | 6.10120i | 0.285757 | − | 0.203487i | ||||
\(900\) | 12.4258 | − | 11.8479i | 0.414192 | − | 0.394931i | ||||
\(901\) | −16.8119 | − | 5.81867i | −0.560087 | − | 0.193848i | ||||
\(902\) | 3.55867 | − | 2.28702i | 0.118491 | − | 0.0761495i | ||||
\(903\) | −12.8642 | − | 14.7115i | −0.428093 | − | 0.489567i | ||||
\(904\) | −11.0167 | − | 1.58396i | −0.366410 | − | 0.0526819i | ||||
\(905\) | 28.3250 | + | 27.0078i | 0.941553 | + | 0.897769i | ||||
\(906\) | 1.37715 | + | 2.67129i | 0.0457527 | + | 0.0887478i | ||||
\(907\) | −6.04822 | + | 15.1077i | −0.200828 | + | 0.501644i | −0.994257 | − | 0.107019i | \(-0.965869\pi\) |
0.793429 | + | 0.608663i | \(0.208294\pi\) | |||||||
\(908\) | 19.6308 | − | 27.5677i | 0.651472 | − | 0.914865i | ||||
\(909\) | 2.64202 | − | 1.20657i | 0.0876304 | − | 0.0400195i | ||||
\(910\) | −0.0494341 | − | 10.9603i | −0.00163872 | − | 0.363330i | ||||
\(911\) | 19.7857 | − | 30.7871i | 0.655529 | − | 1.02002i | −0.341262 | − | 0.939968i | \(-0.610854\pi\) |
0.996791 | − | 0.0800541i | \(-0.0255093\pi\) | |||||||
\(912\) | 14.3687 | − | 15.0695i | 0.475797 | − | 0.499001i | ||||
\(913\) | 11.5801 | − | 14.7253i | 0.383245 | − | 0.487335i | ||||
\(914\) | −3.06075 | + | 1.05934i | −0.101241 | + | 0.0350397i | ||||
\(915\) | −14.3109 | + | 27.7593i | −0.473104 | + | 0.917693i | ||||
\(916\) | −3.98078 | − | 4.59407i | −0.131529 | − | 0.151792i | ||||
\(917\) | 44.6283 | − | 32.0840i | 1.47376 | − | 1.05951i | ||||
\(918\) | 0.867082 | + | 0.395983i | 0.0286180 | + | 0.0130694i | ||||
\(919\) | 7.73159 | − | 4.46383i | 0.255041 | − | 0.147248i | −0.367029 | − | 0.930209i | \(-0.619625\pi\) |
0.622071 | + | 0.782961i | \(0.286292\pi\) | |||||||
\(920\) | −12.6573 | + | 1.72568i | −0.417300 | + | 0.0568940i | ||||
\(921\) | 0.643717 | − | 1.11495i | 0.0212112 | − | 0.0367389i | ||||
\(922\) | −0.245141 | − | 2.56723i | −0.00807328 | − | 0.0845473i | ||||
\(923\) | −13.1257 | + | 44.7019i | −0.432036 | + | 1.47138i | ||||
\(924\) | 13.5120 | + | 6.88895i | 0.444512 | + | 0.226630i | ||||
\(925\) | −34.2137 | − | 53.2376i | −1.12494 | − | 1.75044i | ||||
\(926\) | −4.20952 | − | 0.811319i | −0.138333 | − | 0.0266616i | ||||
\(927\) | −3.55205 | − | 2.79336i | −0.116665 | − | 0.0917460i | ||||
\(928\) | 0.722143 | − | 2.97671i | 0.0237055 | − | 0.0977154i | ||||
\(929\) | 6.21582 | + | 0.296096i | 0.203934 | + | 0.00971459i | 0.149301 | − | 0.988792i | \(-0.452298\pi\) |
0.0546338 | + | 0.998506i | \(0.482601\pi\) | |||||||
\(930\) | 0.697979 | + | 4.85455i | 0.0228876 | + | 0.159187i | ||||
\(931\) | −5.79472 | − | 37.8746i | −0.189914 | − | 1.24129i | ||||
\(932\) | 1.23532 | + | 2.70496i | 0.0404641 | + | 0.0886040i | ||||
\(933\) | 12.9950 | − | 10.2194i | 0.425438 | − | 0.334568i | ||||
\(934\) | 1.40422 | − | 0.723925i | 0.0459474 | − | 0.0236875i | ||||
\(935\) | −55.1930 | − | 13.3897i | −1.80501 | − | 0.437890i | ||||
\(936\) | −1.64856 | − | 4.11791i | −0.0538849 | − | 0.134598i | ||||
\(937\) | −5.64600 | + | 6.51583i | −0.184447 | + | 0.212863i | −0.840441 | − | 0.541903i | \(-0.817704\pi\) |
0.655994 | + | 0.754766i | \(0.272250\pi\) | |||||||
\(938\) | −2.40455 | − | 1.69598i | −0.0785112 | − | 0.0553756i | ||||
\(939\) | −8.25307 | + | 7.15133i | −0.269329 | + | 0.233375i | ||||
\(940\) | 48.4723 | − | 11.7593i | 1.58099 | − | 0.383545i | ||||
\(941\) | −21.1219 | − | 29.6616i | −0.688555 | − | 0.966940i | −0.999862 | − | 0.0166304i | \(-0.994706\pi\) |
0.311307 | − | 0.950309i | \(-0.399233\pi\) | |||||||
\(942\) | −0.287116 | − | 0.165766i | −0.00935473 | − | 0.00540096i | ||||
\(943\) | −30.0237 | − | 23.9675i | −0.977707 | − | 0.780490i | ||||
\(944\) | − | 10.7555i | − | 0.350061i | ||||||
\(945\) | −4.53115 | − | 8.69271i | −0.147398 | − | 0.282774i | ||||
\(946\) | −3.74263 | − | 1.09894i | −0.121684 | − | 0.0357295i | ||||
\(947\) | −12.2361 | + | 35.3539i | −0.397620 | + | 1.14885i | 0.551565 | + | 0.834132i | \(0.314031\pi\) |
−0.949186 | + | 0.314717i | \(0.898090\pi\) | |||||||
\(948\) | 0.844074 | + | 17.7193i | 0.0274143 | + | 0.575496i | ||||
\(949\) | 10.0593 | + | 29.0643i | 0.326538 | + | 0.943469i | ||||
\(950\) | −8.03704 | + | 3.21754i | −0.260756 | + | 0.104391i | ||||
\(951\) | −2.48970 | − | 8.47913i | −0.0807339 | − | 0.274954i | ||||
\(952\) | 6.51780 | − | 7.59085i | 0.211243 | − | 0.246021i | ||||
\(953\) | −7.94144 | + | 1.14181i | −0.257248 | + | 0.0369867i | −0.269732 | − | 0.962935i | \(-0.586935\pi\) |
0.0124840 | + | 0.999922i | \(0.496026\pi\) | |||||||
\(954\) | −0.499249 | − | 0.355513i | −0.0161638 | − | 0.0115102i | ||||
\(955\) | −2.72257 | + | 28.5121i | −0.0881005 | + | 0.922630i | ||||
\(956\) | −1.11707 | − | 0.447206i | −0.0361285 | − | 0.0144637i | ||||
\(957\) | −0.199663 | + | 4.19144i | −0.00645418 | + | 0.135490i | ||||
\(958\) | −5.20354 | + | 1.52790i | −0.168119 | + | 0.0493641i | ||||
\(959\) | 3.78172 | − | 13.0976i | 0.122118 | − | 0.422943i | ||||
\(960\) | −20.2242 | − | 17.5244i | −0.652734 | − | 0.565598i | ||||
\(961\) | 19.8714 | + | 10.2444i | 0.641014 | + | 0.330466i | ||||
\(962\) | −7.96057 | + | 1.53427i | −0.256659 | + | 0.0494670i | ||||
\(963\) | −5.66641 | − | 5.94275i | −0.182597 | − | 0.191503i | ||||
\(964\) | 27.0313 | − | 2.58118i | 0.870621 | − | 0.0831342i | ||||
\(965\) | −30.1371 | −0.970147 | ||||||||
\(966\) | −0.333576 | + | 2.27505i | −0.0107326 | + | 0.0731986i | ||||
\(967\) | −26.4386 | −0.850207 | −0.425104 | − | 0.905145i | \(-0.639762\pi\) | ||||
−0.425104 | + | 0.905145i | \(0.639762\pi\) | |||||||
\(968\) | −1.79488 | + | 0.171390i | −0.0576896 | + | 0.00550869i | ||||
\(969\) | 19.8687 | + | 20.8377i | 0.638276 | + | 0.669405i | ||||
\(970\) | 3.63333 | − | 0.700267i | 0.116659 | − | 0.0224842i | ||||
\(971\) | −8.11258 | − | 4.18232i | −0.260345 | − | 0.134217i | 0.323113 | − | 0.946360i | \(-0.395271\pi\) |
−0.583458 | + | 0.812143i | \(0.698301\pi\) | |||||||
\(972\) | −1.48668 | − | 1.28822i | −0.0476853 | − | 0.0413196i | ||||
\(973\) | −26.2673 | + | 6.49797i | −0.842092 | + | 0.208315i | ||||
\(974\) | 2.16328 | − | 0.635197i | 0.0693161 | − | 0.0203530i | ||||
\(975\) | 2.56228 | − | 53.7888i | 0.0820585 | − | 1.72262i | ||||
\(976\) | 29.7682 | + | 11.9174i | 0.952856 | + | 0.381466i | ||||
\(977\) | −0.0820175 | + | 0.858926i | −0.00262397 | + | 0.0274795i | −0.996689 | − | 0.0813073i | \(-0.974090\pi\) |
0.994065 | + | 0.108787i | \(0.0346966\pi\) | |||||||
\(978\) | 1.17323 | + | 0.835453i | 0.0375157 | + | 0.0267148i | ||||
\(979\) | −5.79698 | + | 0.833480i | −0.185272 | + | 0.0266381i | ||||
\(980\) | −50.0086 | + | 10.1071i | −1.59747 | + | 0.322858i | ||||
\(981\) | 4.40469 | + | 15.0010i | 0.140631 | + | 0.478945i | ||||
\(982\) | −4.13664 | + | 1.65606i | −0.132006 | + | 0.0528471i | ||||
\(983\) | 15.7419 | + | 45.4833i | 0.502089 | + | 1.45069i | 0.856767 | + | 0.515703i | \(0.172469\pi\) |
−0.354678 | + | 0.934988i | \(0.615410\pi\) | |||||||
\(984\) | 0.274017 | + | 5.75233i | 0.00873536 | + | 0.183378i | ||||
\(985\) | 22.5213 | − | 65.0709i | 0.717587 | − | 2.07333i | ||||
\(986\) | 1.31700 | + | 0.386707i | 0.0419419 | + | 0.0123153i | ||||
\(987\) | 0.779936 | − | 18.0891i | 0.0248256 | − | 0.575783i | ||||
\(988\) | − | 66.4345i | − | 2.11356i | ||||||
\(989\) | 1.42732 | + | 35.3952i | 0.0453860 | + | 1.12550i | ||||
\(990\) | −1.69447 | − | 0.978300i | −0.0538536 | − | 0.0310924i | ||||
\(991\) | −29.1474 | − | 40.9318i | −0.925898 | − | 1.30024i | −0.953741 | − | 0.300630i | \(-0.902803\pi\) |
0.0278427 | − | 0.999612i | \(-0.491136\pi\) | |||||||
\(992\) | 15.1001 | − | 3.66326i | 0.479430 | − | 0.116309i | ||||
\(993\) | −7.29417 | + | 6.32043i | −0.231473 | + | 0.200573i | ||||
\(994\) | −3.60547 | − | 0.327878i | −0.114359 | − | 0.0103997i | ||||
\(995\) | −44.2896 | + | 51.1129i | −1.40407 | + | 1.62039i | ||||
\(996\) | 4.69997 | + | 11.7400i | 0.148924 | + | 0.371995i | ||||
\(997\) | 11.5371 | + | 2.79887i | 0.365383 | + | 0.0886411i | 0.414247 | − | 0.910164i | \(-0.364045\pi\) |
−0.0488638 | + | 0.998805i | \(0.515560\pi\) | |||||||
\(998\) | 1.24530 | − | 0.641996i | 0.0394192 | − | 0.0203220i | ||||
\(999\) | −5.69953 | + | 4.48216i | −0.180325 | + | 0.141809i |
(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 | 483.2.bf.a.178.19 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.40.14 | yes | 640 | |
23.19 | odd | 22 | inner | 483.2.bf.a.157.14 | yes | 640 | |
161.19 | even | 66 | inner | 483.2.bf.a.19.19 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.19 | ✓ | 640 | 161.19 | even | 66 | inner | |
483.2.bf.a.40.14 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.157.14 | yes | 640 | 23.19 | odd | 22 | inner | |
483.2.bf.a.178.19 | yes | 640 | 1.1 | even | 1 | trivial |