Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.12 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.12 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.899204 | − | 0.899204i | −0.635833 | − | 0.635833i | 0.313692 | − | 0.949525i | \(-0.398434\pi\) |
−0.949525 | + | 0.313692i | \(0.898434\pi\) | |||||||
\(3\) | −0.810966 | − | 1.53047i | −0.468211 | − | 0.883617i | ||||
\(4\) | − | 0.382866i | − | 0.191433i | ||||||
\(5\) | −2.02048 | + | 0.957954i | −0.903584 | + | 0.428410i | ||||
\(6\) | −0.646980 | + | 2.10543i | −0.264128 | + | 0.859537i | ||||
\(7\) | 1.52253 | + | 2.16377i | 0.575461 | + | 0.817829i | ||||
\(8\) | −2.14268 | + | 2.14268i | −0.757552 | + | 0.757552i | ||||
\(9\) | −1.68467 | + | 2.48232i | −0.561556 | + | 0.827439i | ||||
\(10\) | 2.67822 | + | 0.955424i | 0.846926 | + | 0.302132i | ||||
\(11\) | −1.34518 | − | 2.32992i | −0.405586 | − | 0.702496i | 0.588803 | − | 0.808276i | \(-0.299599\pi\) |
−0.994390 | + | 0.105780i | \(0.966266\pi\) | |||||||
\(12\) | −0.585964 | + | 0.310491i | −0.169153 | + | 0.0896311i | ||||
\(13\) | −0.935900 | + | 3.49283i | −0.259572 | + | 0.968736i | 0.705917 | + | 0.708294i | \(0.250535\pi\) |
−0.965489 | + | 0.260442i | \(0.916132\pi\) | |||||||
\(14\) | 0.576612 | − | 3.31473i | 0.154106 | − | 0.885900i | ||||
\(15\) | 3.10466 | + | 2.31541i | 0.801619 | + | 0.597836i | ||||
\(16\) | 3.08768 | 0.771921 | ||||||||
\(17\) | 0.864975 | + | 3.22813i | 0.209787 | + | 0.782936i | 0.987937 | + | 0.154857i | \(0.0494918\pi\) |
−0.778150 | + | 0.628079i | \(0.783842\pi\) | |||||||
\(18\) | 3.74697 | − | 0.717247i | 0.883169 | − | 0.169057i | ||||
\(19\) | −2.03630 | − | 3.52698i | −0.467160 | − | 0.809144i | 0.532136 | − | 0.846659i | \(-0.321389\pi\) |
−0.999296 | + | 0.0375144i | \(0.988056\pi\) | |||||||
\(20\) | 0.366768 | + | 0.773571i | 0.0820118 | + | 0.172976i | ||||
\(21\) | 2.07687 | − | 4.08492i | 0.453210 | − | 0.891404i | ||||
\(22\) | −0.885480 | + | 3.30466i | −0.188785 | + | 0.704555i | ||||
\(23\) | 0.488473 | + | 1.82301i | 0.101854 | + | 0.380123i | 0.997969 | − | 0.0636978i | \(-0.0202894\pi\) |
−0.896116 | + | 0.443821i | \(0.853623\pi\) | |||||||
\(24\) | 5.01695 | + | 1.54167i | 1.02408 | + | 0.314691i | ||||
\(25\) | 3.16465 | − | 3.87105i | 0.632930 | − | 0.774209i | ||||
\(26\) | 3.98233 | − | 2.29920i | 0.780999 | − | 0.450910i | ||||
\(27\) | 5.16532 | + | 0.565260i | 0.994065 | + | 0.108784i | ||||
\(28\) | 0.828435 | − | 0.582923i | 0.156559 | − | 0.110162i | ||||
\(29\) | −3.38755 | − | 1.95580i | −0.629052 | − | 0.363184i | 0.151333 | − | 0.988483i | \(-0.451644\pi\) |
−0.780385 | + | 0.625299i | \(0.784977\pi\) | |||||||
\(30\) | −0.709695 | − | 4.87374i | −0.129572 | − | 0.889819i | ||||
\(31\) | 5.67500i | 1.01926i | 0.860394 | + | 0.509630i | \(0.170218\pi\) | ||||
−0.860394 | + | 0.509630i | \(0.829782\pi\) | |||||||
\(32\) | 1.50891 | + | 1.50891i | 0.266740 | + | 0.266740i | ||||
\(33\) | −2.47497 | + | 3.94823i | −0.430837 | + | 0.687299i | ||||
\(34\) | 2.12496 | − | 3.68053i | 0.364427 | − | 0.631206i | ||||
\(35\) | −5.14902 | − | 2.91334i | −0.870344 | − | 0.492445i | ||||
\(36\) | 0.950394 | + | 0.645002i | 0.158399 | + | 0.107500i | ||||
\(37\) | −2.11448 | + | 7.89135i | −0.347618 | + | 1.29733i | 0.541905 | + | 0.840440i | \(0.317703\pi\) |
−0.889523 | + | 0.456890i | \(0.848963\pi\) | |||||||
\(38\) | −1.34042 | + | 5.00252i | −0.217445 | + | 0.811516i | ||||
\(39\) | 6.10465 | − | 1.40020i | 0.977526 | − | 0.224211i | ||||
\(40\) | 2.27665 | − | 6.38183i | 0.359969 | − | 1.00906i | ||||
\(41\) | −5.53225 | + | 3.19405i | −0.863992 | + | 0.498826i | −0.865347 | − | 0.501173i | \(-0.832902\pi\) |
0.00135496 | + | 0.999999i | \(0.499569\pi\) | |||||||
\(42\) | −5.54071 | + | 1.80565i | −0.854950 | + | 0.278618i | ||||
\(43\) | −2.23879 | − | 8.35527i | −0.341412 | − | 1.27417i | −0.896748 | − | 0.442541i | \(-0.854077\pi\) |
0.555337 | − | 0.831626i | \(-0.312589\pi\) | |||||||
\(44\) | −0.892045 | + | 0.515022i | −0.134481 | + | 0.0776425i | ||||
\(45\) | 1.02589 | − | 6.62929i | 0.152931 | − | 0.988237i | ||||
\(46\) | 1.20002 | − | 2.07849i | 0.176933 | − | 0.306457i | ||||
\(47\) | −7.78848 | + | 7.78848i | −1.13607 | + | 1.13607i | −0.146918 | + | 0.989149i | \(0.546935\pi\) |
−0.989149 | + | 0.146918i | \(0.953065\pi\) | |||||||
\(48\) | −2.50400 | − | 4.72560i | −0.361422 | − | 0.682082i | ||||
\(49\) | −2.36383 | + | 6.58880i | −0.337690 | + | 0.941257i | ||||
\(50\) | −6.32652 | + | 0.635196i | −0.894705 | + | 0.0898302i | ||||
\(51\) | 4.23909 | − | 3.94172i | 0.593591 | − | 0.551951i | ||||
\(52\) | 1.33728 | + | 0.358324i | 0.185448 | + | 0.0496906i | ||||
\(53\) | −0.881307 | − | 3.28908i | −0.121057 | − | 0.451790i | 0.878612 | − | 0.477537i | \(-0.158470\pi\) |
−0.999668 | + | 0.0257468i | \(0.991804\pi\) | |||||||
\(54\) | −4.13639 | − | 5.15295i | −0.562891 | − | 0.701228i | ||||
\(55\) | 4.94985 | + | 3.41892i | 0.667438 | + | 0.461007i | ||||
\(56\) | −7.89857 | − | 1.37399i | −1.05549 | − | 0.183607i | ||||
\(57\) | −3.74656 | + | 5.97675i | −0.496244 | + | 0.791640i | ||||
\(58\) | 1.28743 | + | 4.80476i | 0.169048 | + | 0.630896i | ||||
\(59\) | 12.3607 | 1.60923 | 0.804616 | − | 0.593796i | \(-0.202371\pi\) | ||||
0.804616 | + | 0.593796i | \(0.202371\pi\) | |||||||
\(60\) | 0.886490 | − | 1.18867i | 0.114445 | − | 0.153456i | ||||
\(61\) | 9.32598i | 1.19407i | 0.802215 | + | 0.597035i | \(0.203655\pi\) | ||||
−0.802215 | + | 0.597035i | \(0.796345\pi\) | |||||||
\(62\) | 5.10298 | − | 5.10298i | 0.648079 | − | 0.648079i | ||||
\(63\) | −7.93612 | + | 0.134149i | −0.999857 | + | 0.0169011i | ||||
\(64\) | − | 8.88900i | − | 1.11112i | ||||||
\(65\) | −1.45500 | − | 7.95373i | −0.180471 | − | 0.986538i | ||||
\(66\) | 5.77577 | − | 1.32476i | 0.710948 | − | 0.163067i | ||||
\(67\) | −3.06710 | − | 3.06710i | −0.374706 | − | 0.374706i | 0.494482 | − | 0.869188i | \(-0.335358\pi\) |
−0.869188 | + | 0.494482i | \(0.835358\pi\) | |||||||
\(68\) | 1.23594 | − | 0.331169i | 0.149880 | − | 0.0401602i | ||||
\(69\) | 2.39392 | − | 2.22599i | 0.288194 | − | 0.267977i | ||||
\(70\) | 2.01033 | + | 7.24971i | 0.240281 | + | 0.866506i | ||||
\(71\) | −9.46348 | −1.12311 | −0.561554 | − | 0.827440i | \(-0.689796\pi\) | ||||
−0.561554 | + | 0.827440i | \(0.689796\pi\) | |||||||
\(72\) | −1.70910 | − | 8.92852i | −0.201420 | − | 1.05224i | ||||
\(73\) | −12.8980 | + | 3.45602i | −1.50960 | + | 0.404496i | −0.916303 | − | 0.400487i | \(-0.868841\pi\) |
−0.593298 | + | 0.804983i | \(0.702174\pi\) | |||||||
\(74\) | 8.99728 | − | 5.19458i | 1.04591 | − | 0.603858i | ||||
\(75\) | −8.49094 | − | 1.70411i | −0.980449 | − | 0.196774i | ||||
\(76\) | −1.35036 | + | 0.779630i | −0.154897 | + | 0.0894297i | ||||
\(77\) | 2.99334 | − | 6.45802i | 0.341123 | − | 0.735959i | ||||
\(78\) | −6.74838 | − | 4.23026i | −0.764104 | − | 0.478982i | ||||
\(79\) | 0.784319i | 0.0882428i | 0.999026 | + | 0.0441214i | \(0.0140488\pi\) | ||||
−0.999026 | + | 0.0441214i | \(0.985951\pi\) | |||||||
\(80\) | −6.23859 | + | 2.95786i | −0.697495 | + | 0.330699i | ||||
\(81\) | −3.32378 | − | 8.36376i | −0.369309 | − | 0.929307i | ||||
\(82\) | 7.84672 | + | 2.10252i | 0.866525 | + | 0.232185i | ||||
\(83\) | 2.01424 | − | 0.539713i | 0.221091 | − | 0.0592412i | −0.146573 | − | 0.989200i | \(-0.546824\pi\) |
0.367664 | + | 0.929959i | \(0.380158\pi\) | |||||||
\(84\) | −1.56398 | − | 0.795163i | −0.170644 | − | 0.0867594i | ||||
\(85\) | −4.84006 | − | 5.69375i | −0.524978 | − | 0.617574i | ||||
\(86\) | −5.49996 | + | 9.52621i | −0.593076 | + | 1.02724i | ||||
\(87\) | −0.246108 | + | 6.77063i | −0.0263855 | + | 0.725888i | ||||
\(88\) | 7.87455 | + | 2.10998i | 0.839430 | + | 0.224925i | ||||
\(89\) | −1.60518 | − | 2.78026i | −0.170149 | − | 0.294707i | 0.768323 | − | 0.640063i | \(-0.221092\pi\) |
−0.938472 | + | 0.345356i | \(0.887758\pi\) | |||||||
\(90\) | −6.88357 | + | 5.03860i | −0.725592 | + | 0.531115i | ||||
\(91\) | −8.98262 | + | 3.29284i | −0.941635 | + | 0.345184i | ||||
\(92\) | 0.697966 | − | 0.187020i | 0.0727680 | − | 0.0194981i | ||||
\(93\) | 8.68540 | − | 4.60223i | 0.900634 | − | 0.477229i | ||||
\(94\) | 14.0069 | 1.44470 | ||||||||
\(95\) | 7.49298 | + | 5.17549i | 0.768764 | + | 0.530994i | ||||
\(96\) | 1.08566 | − | 3.53301i | 0.110805 | − | 0.360586i | ||||
\(97\) | −3.72632 | − | 13.9068i | −0.378350 | − | 1.41202i | −0.848387 | − | 0.529376i | \(-0.822426\pi\) |
0.470037 | − | 0.882647i | \(-0.344241\pi\) | |||||||
\(98\) | 8.05024 | − | 3.79911i | 0.813197 | − | 0.383768i | ||||
\(99\) | 8.04976 | + | 0.585981i | 0.809032 | + | 0.0588933i | ||||
\(100\) | −1.48209 | − | 1.21164i | −0.148209 | − | 0.121164i | ||||
\(101\) | 1.64077 | − | 0.947301i | 0.163263 | − | 0.0942599i | −0.416142 | − | 0.909299i | \(-0.636618\pi\) |
0.579405 | + | 0.815040i | \(0.303285\pi\) | |||||||
\(102\) | −7.35621 | − | 0.267393i | −0.728373 | − | 0.0264759i | ||||
\(103\) | −11.1899 | + | 2.99833i | −1.10258 | + | 0.295434i | −0.763813 | − | 0.645438i | \(-0.776675\pi\) |
−0.338763 | + | 0.940872i | \(0.610008\pi\) | |||||||
\(104\) | −5.47868 | − | 9.48935i | −0.537229 | − | 0.930508i | ||||
\(105\) | −0.283098 | + | 10.2430i | −0.0276276 | + | 0.999618i | ||||
\(106\) | −2.16508 | + | 3.75003i | −0.210291 | + | 0.364235i | ||||
\(107\) | −1.81102 | + | 6.75884i | −0.175078 | + | 0.653401i | 0.821460 | + | 0.570266i | \(0.193160\pi\) |
−0.996538 | + | 0.0831351i | \(0.973507\pi\) | |||||||
\(108\) | 0.216419 | − | 1.97762i | 0.0208249 | − | 0.190297i | ||||
\(109\) | −2.29828 | − | 1.32691i | −0.220135 | − | 0.127095i | 0.385878 | − | 0.922550i | \(-0.373899\pi\) |
−0.606013 | + | 0.795455i | \(0.707232\pi\) | |||||||
\(110\) | −1.37662 | − | 7.52523i | −0.131255 | − | 0.717502i | ||||
\(111\) | 13.7922 | − | 3.16347i | 1.30910 | − | 0.300263i | ||||
\(112\) | 4.70108 | + | 6.68104i | 0.444210 | + | 0.631299i | ||||
\(113\) | 10.8375 | + | 2.90390i | 1.01951 | + | 0.273176i | 0.729596 | − | 0.683879i | \(-0.239708\pi\) |
0.289909 | + | 0.957054i | \(0.406375\pi\) | |||||||
\(114\) | 8.74324 | − | 2.00540i | 0.818879 | − | 0.187823i | ||||
\(115\) | −2.73330 | − | 3.21540i | −0.254882 | − | 0.299838i | ||||
\(116\) | −0.748810 | + | 1.29698i | −0.0695253 | + | 0.120421i | ||||
\(117\) | −7.09362 | − | 8.20746i | −0.655805 | − | 0.758780i | ||||
\(118\) | −11.1148 | − | 11.1148i | −1.02320 | − | 1.02320i | ||||
\(119\) | −5.66799 | + | 6.78652i | −0.519584 | + | 0.622119i | ||||
\(120\) | −11.6135 | + | 1.69111i | −1.06016 | + | 0.154376i | ||||
\(121\) | 1.88100 | − | 3.25798i | 0.171000 | − | 0.296180i | ||||
\(122\) | 8.38595 | − | 8.38595i | 0.759229 | − | 0.759229i | ||||
\(123\) | 9.37485 | + | 5.87667i | 0.845302 | + | 0.529882i | ||||
\(124\) | 2.17276 | 0.195120 | ||||||||
\(125\) | −2.68581 | + | 10.8529i | −0.240226 | + | 0.970717i | ||||
\(126\) | 7.25681 | + | 7.01556i | 0.646488 | + | 0.624996i | ||||
\(127\) | 9.66249 | + | 9.66249i | 0.857407 | + | 0.857407i | 0.991032 | − | 0.133625i | \(-0.0426616\pi\) |
−0.133625 | + | 0.991032i | \(0.542662\pi\) | |||||||
\(128\) | −4.97520 | + | 4.97520i | −0.439750 | + | 0.439750i | ||||
\(129\) | −10.9719 | + | 10.2022i | −0.966021 | + | 0.898256i | ||||
\(130\) | −5.84367 | + | 8.46036i | −0.512524 | + | 0.742023i | ||||
\(131\) | 17.0748 | + | 9.85815i | 1.49183 | + | 0.861311i | 0.999956 | − | 0.00935381i | \(-0.00297745\pi\) |
0.491877 | + | 0.870664i | \(0.336311\pi\) | |||||||
\(132\) | 1.51164 | + | 0.947581i | 0.131572 | + | 0.0824764i | ||||
\(133\) | 4.53126 | − | 9.77601i | 0.392910 | − | 0.847688i | ||||
\(134\) | 5.51589i | 0.476500i | ||||||||
\(135\) | −10.9779 | + | 3.80604i | −0.944826 | + | 0.327572i | ||||
\(136\) | −8.77022 | − | 5.06349i | −0.752040 | − | 0.434190i | ||||
\(137\) | 4.03937 | − | 15.0751i | 0.345107 | − | 1.28796i | −0.547381 | − | 0.836884i | \(-0.684375\pi\) |
0.892487 | − | 0.451072i | \(-0.148958\pi\) | |||||||
\(138\) | −4.15424 | − | 0.151004i | −0.353632 | − | 0.0128543i | ||||
\(139\) | 0.552130 | + | 0.956317i | 0.0468310 | + | 0.0811137i | 0.888491 | − | 0.458895i | \(-0.151754\pi\) |
−0.841660 | + | 0.540008i | \(0.818421\pi\) | |||||||
\(140\) | −1.11542 | + | 1.97138i | −0.0942701 | + | 0.166612i | ||||
\(141\) | 18.2362 | + | 5.60383i | 1.53577 | + | 0.471928i | ||||
\(142\) | 8.50959 | + | 8.50959i | 0.714109 | + | 0.714109i | ||||
\(143\) | 9.39695 | − | 2.51790i | 0.785812 | − | 0.210558i | ||||
\(144\) | −5.20172 | + | 7.66460i | −0.433477 | + | 0.638717i | ||||
\(145\) | 8.71804 | + | 0.706537i | 0.723993 | + | 0.0586747i | ||||
\(146\) | 14.7056 | + | 8.49030i | 1.21705 | + | 0.702662i | ||||
\(147\) | 12.0009 | − | 1.72553i | 0.989821 | − | 0.142319i | ||||
\(148\) | 3.02133 | + | 0.809562i | 0.248352 | + | 0.0665456i | ||||
\(149\) | −9.28012 | − | 5.35788i | −0.760257 | − | 0.438935i | 0.0691309 | − | 0.997608i | \(-0.477977\pi\) |
−0.829388 | + | 0.558673i | \(0.811311\pi\) | |||||||
\(150\) | 6.10274 | + | 9.16742i | 0.498287 | + | 0.748517i | ||||
\(151\) | 4.18498 | + | 7.24860i | 0.340569 | + | 0.589883i | 0.984539 | − | 0.175168i | \(-0.0560470\pi\) |
−0.643969 | + | 0.765051i | \(0.722714\pi\) | |||||||
\(152\) | 11.9203 | + | 3.19404i | 0.966867 | + | 0.259071i | ||||
\(153\) | −9.47043 | − | 3.29119i | −0.765639 | − | 0.266077i | ||||
\(154\) | −8.49869 | + | 3.11545i | −0.684844 | + | 0.251050i | ||||
\(155\) | −5.43638 | − | 11.4662i | −0.436661 | − | 0.920987i | ||||
\(156\) | −0.536088 | − | 2.33726i | −0.0429214 | − | 0.187131i | ||||
\(157\) | −11.9738 | + | 11.9738i | −0.955614 | + | 0.955614i | −0.999056 | − | 0.0434416i | \(-0.986168\pi\) |
0.0434416 | + | 0.999056i | \(0.486168\pi\) | |||||||
\(158\) | 0.705262 | − | 0.705262i | 0.0561076 | − | 0.0561076i | ||||
\(159\) | −4.31913 | + | 4.01615i | −0.342529 | + | 0.318501i | ||||
\(160\) | −4.49418 | − | 1.60325i | −0.355296 | − | 0.126748i | ||||
\(161\) | −3.20086 | + | 3.83252i | −0.252263 | + | 0.302045i | ||||
\(162\) | −4.53197 | + | 10.5095i | −0.356065 | + | 0.825703i | ||||
\(163\) | −9.28724 | − | 2.48851i | −0.727433 | − | 0.194915i | −0.123947 | − | 0.992289i | \(-0.539555\pi\) |
−0.603486 | + | 0.797374i | \(0.706222\pi\) | |||||||
\(164\) | 1.22289 | + | 2.11811i | 0.0954917 | + | 0.165397i | ||||
\(165\) | 1.21839 | − | 10.3482i | 0.0948517 | − | 0.805608i | ||||
\(166\) | −2.29652 | − | 1.32590i | −0.178244 | − | 0.102910i | ||||
\(167\) | 8.93740 | + | 2.39477i | 0.691597 | + | 0.185313i | 0.587464 | − | 0.809250i | \(-0.300126\pi\) |
0.104133 | + | 0.994563i | \(0.466793\pi\) | |||||||
\(168\) | 4.30262 | + | 13.2028i | 0.331954 | + | 1.01862i | ||||
\(169\) | −0.0656083 | − | 0.0378789i | −0.00504679 | − | 0.00291376i | ||||
\(170\) | −0.767643 | + | 9.47204i | −0.0588756 | + | 0.726472i | ||||
\(171\) | 12.1856 | + | 0.887046i | 0.931854 | + | 0.0678341i | ||||
\(172\) | −3.19895 | + | 0.857155i | −0.243917 | + | 0.0653574i | ||||
\(173\) | 2.13834 | + | 2.13834i | 0.162575 | + | 0.162575i | 0.783707 | − | 0.621131i | \(-0.213327\pi\) |
−0.621131 | + | 0.783707i | \(0.713327\pi\) | |||||||
\(174\) | 6.30948 | − | 5.86687i | 0.478320 | − | 0.444767i | ||||
\(175\) | 13.1943 | + | 0.953813i | 0.997397 | + | 0.0721015i | ||||
\(176\) | −4.15348 | − | 7.19404i | −0.313080 | − | 0.542271i | ||||
\(177\) | −10.0241 | − | 18.9177i | −0.753461 | − | 1.42194i | ||||
\(178\) | −1.05663 | + | 3.94341i | −0.0791980 | + | 0.295571i | ||||
\(179\) | −5.04076 | − | 2.91028i | −0.376764 | − | 0.217525i | 0.299646 | − | 0.954051i | \(-0.403132\pi\) |
−0.676409 | + | 0.736526i | \(0.736465\pi\) | |||||||
\(180\) | −2.53813 | − | 0.392778i | −0.189181 | − | 0.0292759i | ||||
\(181\) | − | 11.9067i | − | 0.885016i | −0.896765 | − | 0.442508i | \(-0.854089\pi\) | ||
0.896765 | − | 0.442508i | \(-0.145911\pi\) | |||||||
\(182\) | 11.0381 | + | 5.11627i | 0.818202 | + | 0.379243i | ||||
\(183\) | 14.2731 | − | 7.56305i | 1.05510 | − | 0.559077i | ||||
\(184\) | −4.95276 | − | 2.85948i | −0.365122 | − | 0.210804i | ||||
\(185\) | −3.28729 | − | 17.9699i | −0.241686 | − | 1.32117i | ||||
\(186\) | −11.9483 | − | 3.67161i | −0.876091 | − | 0.269215i | ||||
\(187\) | 6.35772 | − | 6.35772i | 0.464923 | − | 0.464923i | ||||
\(188\) | 2.98194 | + | 2.98194i | 0.217480 | + | 0.217480i | ||||
\(189\) | 6.64123 | + | 12.0372i | 0.483079 | + | 0.875577i | ||||
\(190\) | −2.08390 | − | 11.3915i | −0.151182 | − | 0.826429i | ||||
\(191\) | 11.8774 | 0.859416 | 0.429708 | − | 0.902968i | \(-0.358616\pi\) | ||||
0.429708 | + | 0.902968i | \(0.358616\pi\) | |||||||
\(192\) | −13.6043 | + | 7.20867i | −0.981808 | + | 0.520241i | ||||
\(193\) | 5.17947 | − | 5.17947i | 0.372827 | − | 0.372827i | −0.495679 | − | 0.868506i | \(-0.665081\pi\) |
0.868506 | + | 0.495679i | \(0.165081\pi\) | |||||||
\(194\) | −9.15434 | + | 15.8558i | −0.657243 | + | 1.13838i | ||||
\(195\) | −10.9930 | + | 8.67704i | −0.787223 | + | 0.621376i | ||||
\(196\) | 2.52263 | + | 0.905030i | 0.180188 | + | 0.0646450i | ||||
\(197\) | −13.4470 | − | 13.4470i | −0.958059 | − | 0.958059i | 0.0410958 | − | 0.999155i | \(-0.486915\pi\) |
−0.999155 | + | 0.0410958i | \(0.986915\pi\) | |||||||
\(198\) | −6.71146 | − | 7.76529i | −0.476963 | − | 0.551855i | ||||
\(199\) | 7.15699 | − | 12.3963i | 0.507345 | − | 0.878748i | −0.492618 | − | 0.870245i | \(-0.663960\pi\) |
0.999964 | − | 0.00850271i | \(-0.00270653\pi\) | |||||||
\(200\) | 1.51359 | + | 15.0753i | 0.107027 | + | 1.06598i | ||||
\(201\) | −2.20678 | + | 7.18141i | −0.155655 | + | 0.506537i | ||||
\(202\) | −2.32721 | − | 0.623573i | −0.163742 | − | 0.0438744i | ||||
\(203\) | −0.925719 | − | 10.3077i | −0.0649727 | − | 0.723455i | ||||
\(204\) | −1.50915 | − | 1.62300i | −0.105662 | − | 0.113633i | ||||
\(205\) | 8.11803 | − | 11.7531i | 0.566988 | − | 0.820874i | ||||
\(206\) | 12.7581 | + | 7.36591i | 0.888901 | + | 0.513207i | ||||
\(207\) | −5.34819 | − | 1.85862i | −0.371725 | − | 0.129183i | ||||
\(208\) | −2.88976 | + | 10.7847i | −0.200369 | + | 0.747787i | ||||
\(209\) | −5.47837 | + | 9.48882i | −0.378947 | + | 0.656356i | ||||
\(210\) | 9.46514 | − | 8.95601i | 0.653157 | − | 0.618024i | ||||
\(211\) | −5.98941 | − | 10.3740i | −0.412328 | − | 0.714173i | 0.582816 | − | 0.812604i | \(-0.301951\pi\) |
−0.995144 | + | 0.0984311i | \(0.968618\pi\) | |||||||
\(212\) | −1.25928 | + | 0.337422i | −0.0864875 | + | 0.0231743i | ||||
\(213\) | 7.67456 | + | 14.4836i | 0.525852 | + | 0.992397i | ||||
\(214\) | 7.70605 | − | 4.44909i | 0.526775 | − | 0.304134i | ||||
\(215\) | 12.5274 | + | 14.7370i | 0.854360 | + | 1.00505i | ||||
\(216\) | −12.2788 | + | 9.85645i | −0.835466 | + | 0.670647i | ||||
\(217\) | −12.2794 | + | 8.64033i | −0.833580 | + | 0.586544i | ||||
\(218\) | 0.873456 | + | 3.25978i | 0.0591579 | + | 0.220780i | ||||
\(219\) | 15.7492 | + | 16.9373i | 1.06423 | + | 1.14452i | ||||
\(220\) | 1.30899 | − | 1.89513i | 0.0882519 | − | 0.127770i | ||||
\(221\) | −12.0848 | −0.812914 | ||||||||
\(222\) | −15.2466 | − | 9.55742i | −1.02329 | − | 0.641452i | ||||
\(223\) | −11.5056 | + | 3.08291i | −0.770470 | + | 0.206447i | −0.622579 | − | 0.782557i | \(-0.713915\pi\) |
−0.147891 | + | 0.989004i | \(0.547248\pi\) | |||||||
\(224\) | −0.967583 | + | 5.56229i | −0.0646494 | + | 0.371646i | ||||
\(225\) | 4.27777 | + | 14.3771i | 0.285185 | + | 0.958472i | ||||
\(226\) | −7.13391 | − | 12.3563i | −0.474541 | − | 0.821929i | ||||
\(227\) | 14.9204 | + | 3.99791i | 0.990302 | + | 0.265351i | 0.717377 | − | 0.696685i | \(-0.245342\pi\) |
0.272924 | + | 0.962035i | \(0.412009\pi\) | |||||||
\(228\) | 2.28829 | + | 1.43443i | 0.151546 | + | 0.0949974i | ||||
\(229\) | 0.464597 | − | 0.804706i | 0.0307014 | − | 0.0531765i | −0.850266 | − | 0.526353i | \(-0.823559\pi\) |
0.880968 | + | 0.473176i | \(0.156893\pi\) | |||||||
\(230\) | −0.433508 | + | 5.34910i | −0.0285846 | + | 0.352709i | ||||
\(231\) | −12.3113 | + | 0.656014i | −0.810023 | + | 0.0431626i | ||||
\(232\) | 11.4491 | − | 3.06778i | 0.751671 | − | 0.201410i | ||||
\(233\) | 3.54940 | + | 0.951058i | 0.232529 | + | 0.0623059i | 0.373202 | − | 0.927750i | \(-0.378260\pi\) |
−0.140673 | + | 0.990056i | \(0.544927\pi\) | |||||||
\(234\) | −1.00157 | + | 13.7588i | −0.0654746 | + | 0.899440i | ||||
\(235\) | 8.27543 | − | 23.1974i | 0.539830 | − | 1.51323i | ||||
\(236\) | − | 4.73251i | − | 0.308060i | ||||||
\(237\) | 1.20038 | − | 0.636056i | 0.0779728 | − | 0.0413163i | ||||
\(238\) | 11.1991 | − | 1.00578i | 0.725933 | − | 0.0651952i | ||||
\(239\) | −3.46368 | + | 1.99976i | −0.224047 | + | 0.129354i | −0.607823 | − | 0.794073i | \(-0.707957\pi\) |
0.383776 | + | 0.923426i | \(0.374624\pi\) | |||||||
\(240\) | 9.58619 | + | 7.14924i | 0.618786 | + | 0.461482i | ||||
\(241\) | −19.4900 | + | 11.2525i | −1.25546 | + | 0.724840i | −0.972189 | − | 0.234199i | \(-0.924753\pi\) |
−0.283272 | + | 0.959040i | \(0.591420\pi\) | |||||||
\(242\) | −4.62099 | + | 1.23819i | −0.297048 | + | 0.0795938i | ||||
\(243\) | −10.1050 | + | 11.8697i | −0.648236 | + | 0.761440i | ||||
\(244\) | 3.57060 | 0.228584 | ||||||||
\(245\) | −1.53571 | − | 15.5770i | −0.0981127 | − | 0.995175i | ||||
\(246\) | −3.14558 | − | 13.7142i | −0.200555 | − | 0.874387i | ||||
\(247\) | 14.2249 | − | 3.81155i | 0.905109 | − | 0.242523i | ||||
\(248\) | −12.1597 | − | 12.1597i | −0.772142 | − | 0.772142i | ||||
\(249\) | −2.45949 | − | 2.64504i | −0.155864 | − | 0.167622i | ||||
\(250\) | 12.1741 | − | 7.34391i | 0.769958 | − | 0.464470i | ||||
\(251\) | − | 5.72951i | − | 0.361644i | −0.983516 | − | 0.180822i | \(-0.942124\pi\) | ||
0.983516 | − | 0.180822i | \(-0.0578757\pi\) | |||||||
\(252\) | 0.0513609 | + | 3.03847i | 0.00323543 | + | 0.191406i | ||||
\(253\) | 3.59037 | − | 3.59037i | 0.225724 | − | 0.225724i | ||||
\(254\) | − | 17.3771i | − | 1.09034i | ||||||
\(255\) | −4.78899 | + | 12.0250i | −0.299898 | + | 0.753035i | ||||
\(256\) | −8.83055 | −0.551910 | ||||||||
\(257\) | −3.25842 | − | 12.1606i | −0.203255 | − | 0.758556i | −0.989974 | − | 0.141246i | \(-0.954889\pi\) |
0.786720 | − | 0.617310i | \(-0.211778\pi\) | |||||||
\(258\) | 19.0398 | + | 0.692086i | 1.18537 | + | 0.0430874i | ||||
\(259\) | −20.2944 | + | 7.43953i | −1.26104 | + | 0.462270i | ||||
\(260\) | −3.04521 | + | 0.557071i | −0.188856 | + | 0.0345481i | ||||
\(261\) | 10.5618 | − | 5.11409i | 0.653760 | − | 0.316554i | ||||
\(262\) | −6.48925 | − | 24.2182i | −0.400907 | − | 1.49621i | ||||
\(263\) | 11.4661 | + | 3.07233i | 0.707028 | + | 0.189448i | 0.594377 | − | 0.804187i | \(-0.297399\pi\) |
0.112652 | + | 0.993635i | \(0.464066\pi\) | |||||||
\(264\) | −3.15674 | − | 13.7629i | −0.194284 | − | 0.847047i | ||||
\(265\) | 4.93145 | + | 5.80126i | 0.302936 | + | 0.356369i | ||||
\(266\) | −12.8651 | + | 4.71610i | −0.788813 | + | 0.289163i | ||||
\(267\) | −2.95335 | + | 4.71138i | −0.180742 | + | 0.288332i | ||||
\(268\) | −1.17429 | + | 1.17429i | −0.0717310 | + | 0.0717310i | ||||
\(269\) | 10.8968 | − | 18.8738i | 0.664388 | − | 1.15075i | −0.315063 | − | 0.949071i | \(-0.602026\pi\) |
0.979451 | − | 0.201682i | \(-0.0646409\pi\) | |||||||
\(270\) | 13.2938 | + | 6.44895i | 0.809033 | + | 0.392471i | ||||
\(271\) | 4.80722 | − | 2.77545i | 0.292018 | − | 0.168596i | −0.346834 | − | 0.937927i | \(-0.612743\pi\) |
0.638851 | + | 0.769330i | \(0.279410\pi\) | |||||||
\(272\) | 2.67077 | + | 9.96744i | 0.161939 | + | 0.604365i | ||||
\(273\) | 12.3242 | + | 11.0772i | 0.745894 | + | 0.670425i | ||||
\(274\) | −17.1878 | + | 9.92340i | −1.03836 | + | 0.599495i | ||||
\(275\) | −13.2762 | − | 2.16612i | −0.800586 | − | 0.130622i | ||||
\(276\) | −0.852254 | − | 0.916549i | −0.0512997 | − | 0.0551698i | ||||
\(277\) | −1.40383 | + | 5.23916i | −0.0843478 | + | 0.314790i | −0.995190 | − | 0.0979647i | \(-0.968767\pi\) |
0.910842 | + | 0.412755i | \(0.135433\pi\) | |||||||
\(278\) | 0.363446 | − | 1.35640i | 0.0217981 | − | 0.0813515i | ||||
\(279\) | −14.0871 | − | 9.56049i | −0.843374 | − | 0.572371i | ||||
\(280\) | 17.2751 | − | 4.79035i | 1.03238 | − | 0.286278i | ||||
\(281\) | −0.177202 | + | 0.306922i | −0.0105710 | + | 0.0183094i | −0.871262 | − | 0.490817i | \(-0.836698\pi\) |
0.860692 | + | 0.509127i | \(0.170032\pi\) | |||||||
\(282\) | −11.3591 | − | 21.4371i | −0.676423 | − | 1.27656i | ||||
\(283\) | −6.35524 | − | 6.35524i | −0.377780 | − | 0.377780i | 0.492521 | − | 0.870301i | \(-0.336076\pi\) |
−0.870301 | + | 0.492521i | \(0.836076\pi\) | |||||||
\(284\) | 3.62324i | 0.215000i | ||||||||
\(285\) | 1.84438 | − | 15.6649i | 0.109251 | − | 0.927910i | ||||
\(286\) | −10.7139 | − | 6.18566i | −0.633525 | − | 0.365766i | ||||
\(287\) | −15.3342 | − | 7.10752i | −0.905148 | − | 0.419543i | ||||
\(288\) | −6.28760 | + | 1.20358i | −0.370500 | + | 0.0709214i | ||||
\(289\) | 5.04980 | − | 2.91550i | 0.297047 | − | 0.171500i | ||||
\(290\) | −7.20397 | − | 8.47461i | −0.423032 | − | 0.497646i | ||||
\(291\) | −18.2620 | + | 16.9810i | −1.07054 | + | 0.995442i | ||||
\(292\) | 1.32319 | + | 4.93822i | 0.0774339 | + | 0.288987i | ||||
\(293\) | −3.11594 | + | 11.6289i | −0.182035 | + | 0.679365i | 0.813211 | + | 0.581970i | \(0.197718\pi\) |
−0.995246 | + | 0.0973952i | \(0.968949\pi\) | |||||||
\(294\) | −12.3429 | − | 9.23969i | −0.719852 | − | 0.538870i | ||||
\(295\) | −24.9746 | + | 11.8410i | −1.45408 | + | 0.689411i | ||||
\(296\) | −12.3780 | − | 21.4393i | −0.719456 | − | 1.24613i | ||||
\(297\) | −5.63126 | − | 12.7951i | −0.326759 | − | 0.742448i | ||||
\(298\) | 3.52689 | + | 13.1625i | 0.204307 | + | 0.762486i | ||||
\(299\) | −6.82461 | −0.394677 | ||||||||
\(300\) | −0.652445 | + | 3.25089i | −0.0376689 | + | 0.187690i | ||||
\(301\) | 14.6703 | − | 17.5653i | 0.845582 | − | 1.01245i | ||||
\(302\) | 2.75482 | − | 10.2811i | 0.158522 | − | 0.591612i | ||||
\(303\) | −2.78042 | − | 1.74292i | −0.159731 | − | 0.100128i | ||||
\(304\) | −6.28745 | − | 10.8902i | −0.360610 | − | 0.624595i | ||||
\(305\) | −8.93386 | − | 18.8429i | −0.511551 | − | 1.07894i | ||||
\(306\) | 5.55640 | + | 11.4753i | 0.317638 | + | 0.655999i | ||||
\(307\) | −5.81077 | + | 5.81077i | −0.331638 | + | 0.331638i | −0.853208 | − | 0.521570i | \(-0.825346\pi\) |
0.521570 | + | 0.853208i | \(0.325346\pi\) | |||||||
\(308\) | −2.47255 | − | 1.14605i | −0.140887 | − | 0.0653022i | ||||
\(309\) | 13.6635 | + | 14.6943i | 0.777289 | + | 0.835928i | ||||
\(310\) | −5.42203 | + | 15.1989i | −0.307950 | + | 0.863237i | ||||
\(311\) | 7.69186i | 0.436166i | 0.975930 | + | 0.218083i | \(0.0699803\pi\) | ||||
−0.975930 | + | 0.218083i | \(0.930020\pi\) | |||||||
\(312\) | −10.0801 | + | 16.0805i | −0.570675 | + | 0.910379i | ||||
\(313\) | 1.30161 | + | 1.30161i | 0.0735716 | + | 0.0735716i | 0.742935 | − | 0.669363i | \(-0.233433\pi\) |
−0.669363 | + | 0.742935i | \(0.733433\pi\) | |||||||
\(314\) | 21.5338 | 1.21522 | ||||||||
\(315\) | 15.9062 | − | 7.87348i | 0.896215 | − | 0.443620i | ||||
\(316\) | 0.300289 | 0.0168926 | ||||||||
\(317\) | −7.82677 | − | 7.82677i | −0.439595 | − | 0.439595i | 0.452280 | − | 0.891876i | \(-0.350611\pi\) |
−0.891876 | + | 0.452280i | \(0.850611\pi\) | |||||||
\(318\) | 7.49511 | + | 0.272442i | 0.420305 | + | 0.0152778i | ||||
\(319\) | 10.5236i | 0.589209i | ||||||||
\(320\) | 8.51525 | + | 17.9600i | 0.476017 | + | 1.00399i | ||||
\(321\) | 11.8129 | − | 2.70947i | 0.659330 | − | 0.151228i | ||||
\(322\) | 6.32444 | − | 0.567990i | 0.352447 | − | 0.0316529i | ||||
\(323\) | 9.62419 | − | 9.62419i | 0.535504 | − | 0.535504i | ||||
\(324\) | −3.20220 | + | 1.27256i | −0.177900 | + | 0.0706979i | ||||
\(325\) | 10.5591 | + | 14.6765i | 0.585714 | + | 0.814105i | ||||
\(326\) | 6.11345 | + | 10.5888i | 0.338592 | + | 0.586459i | ||||
\(327\) | −0.166971 | + | 4.59352i | −0.00923354 | + | 0.254022i | ||||
\(328\) | 5.01003 | − | 18.6977i | 0.276632 | − | 1.03241i | ||||
\(329\) | −28.7107 | − | 4.99434i | −1.58287 | − | 0.275347i | ||||
\(330\) | −10.4007 | + | 8.20957i | −0.572542 | + | 0.451922i | ||||
\(331\) | 25.2858 | 1.38984 | 0.694918 | − | 0.719089i | \(-0.255441\pi\) | ||||
0.694918 | + | 0.719089i | \(0.255441\pi\) | |||||||
\(332\) | −0.206638 | − | 0.771182i | −0.0113407 | − | 0.0423241i | ||||
\(333\) | −16.0266 | − | 18.5431i | −0.878253 | − | 1.01616i | ||||
\(334\) | −5.88316 | − | 10.1899i | −0.321912 | − | 0.557568i | ||||
\(335\) | 9.13513 | + | 3.25886i | 0.499106 | + | 0.178050i | ||||
\(336\) | 6.41272 | − | 12.6129i | 0.349842 | − | 0.688093i | ||||
\(337\) | 2.39805 | − | 8.94964i | 0.130630 | − | 0.487518i | −0.869348 | − | 0.494201i | \(-0.835461\pi\) |
0.999978 | + | 0.00668325i | \(0.00212736\pi\) | |||||||
\(338\) | 0.0249343 | + | 0.0930561i | 0.00135625 | + | 0.00506158i | ||||
\(339\) | −4.34451 | − | 18.9414i | −0.235961 | − | 1.02876i | ||||
\(340\) | −2.17994 | + | 1.85309i | −0.118224 | + | 0.100498i | ||||
\(341\) | 13.2223 | − | 7.63388i | 0.716026 | − | 0.413398i | ||||
\(342\) | −10.1597 | − | 11.7549i | −0.549372 | − | 0.635634i | ||||
\(343\) | −17.8557 | + | 4.91683i | −0.964115 | + | 0.265484i | ||||
\(344\) | 22.6997 | + | 13.1057i | 1.22388 | + | 0.706610i | ||||
\(345\) | −2.70446 | + | 6.79082i | −0.145603 | + | 0.365605i | ||||
\(346\) | − | 3.84561i | − | 0.206741i | ||||||
\(347\) | 18.7928 | + | 18.7928i | 1.00885 | + | 1.00885i | 0.999960 | + | 0.00889157i | \(0.00283031\pi\) |
0.00889157 | + | 0.999960i | \(0.497170\pi\) | |||||||
\(348\) | 2.59224 | + | 0.0942263i | 0.138959 | + | 0.00505106i | ||||
\(349\) | 5.97029 | − | 10.3408i | 0.319582 | − | 0.553532i | −0.660819 | − | 0.750546i | \(-0.729791\pi\) |
0.980401 | + | 0.197013i | \(0.0631241\pi\) | |||||||
\(350\) | −11.0067 | − | 12.7221i | −0.588334 | − | 0.680023i | ||||
\(351\) | −6.80858 | + | 17.5125i | −0.363415 | + | 0.934750i | ||||
\(352\) | 1.48588 | − | 5.54538i | 0.0791976 | − | 0.295570i | ||||
\(353\) | −5.75368 | + | 21.4730i | −0.306237 | + | 1.14289i | 0.625638 | + | 0.780114i | \(0.284839\pi\) |
−0.931875 | + | 0.362779i | \(0.881828\pi\) | |||||||
\(354\) | −7.99715 | + | 26.0246i | −0.425044 | + | 1.38319i | ||||
\(355\) | 19.1207 | − | 9.06557i | 1.01482 | − | 0.481151i | ||||
\(356\) | −1.06447 | + | 0.614570i | −0.0564166 | + | 0.0325721i | ||||
\(357\) | 14.9831 | + | 3.17105i | 0.792990 | + | 0.167830i | ||||
\(358\) | 1.91573 | + | 7.14960i | 0.101249 | + | 0.377868i | ||||
\(359\) | 1.38326 | − | 0.798623i | 0.0730054 | − | 0.0421497i | −0.463053 | − | 0.886331i | \(-0.653246\pi\) |
0.536058 | + | 0.844181i | \(0.319913\pi\) | |||||||
\(360\) | 12.0063 | + | 16.4026i | 0.632788 | + | 0.864494i | ||||
\(361\) | 1.20695 | − | 2.09050i | 0.0635237 | − | 0.110026i | ||||
\(362\) | −10.7065 | + | 10.7065i | −0.562722 | + | 0.562722i | ||||
\(363\) | −6.51166 | − | 0.236694i | −0.341774 | − | 0.0124232i | ||||
\(364\) | 1.26072 | + | 3.43914i | 0.0660796 | + | 0.180260i | ||||
\(365\) | 22.7495 | − | 19.3385i | 1.19076 | − | 1.01222i | ||||
\(366\) | −19.6352 | − | 6.03372i | −1.02635 | − | 0.315388i | ||||
\(367\) | −8.31287 | − | 2.22743i | −0.433928 | − | 0.116271i | 0.0352414 | − | 0.999379i | \(-0.488780\pi\) |
−0.469169 | + | 0.883108i | \(0.655447\pi\) | |||||||
\(368\) | 1.50825 | + | 5.62886i | 0.0786229 | + | 0.293425i | ||||
\(369\) | 1.39138 | − | 19.1137i | 0.0724323 | − | 0.995019i | ||||
\(370\) | −13.2026 | + | 19.1145i | −0.686371 | + | 0.993716i | ||||
\(371\) | 5.77501 | − | 6.91466i | 0.299824 | − | 0.358991i | ||||
\(372\) | −1.76204 | − | 3.32534i | −0.0913573 | − | 0.172411i | ||||
\(373\) | 7.79072 | + | 29.0754i | 0.403388 | + | 1.50547i | 0.807009 | + | 0.590539i | \(0.201085\pi\) |
−0.403620 | + | 0.914927i | \(0.632248\pi\) | |||||||
\(374\) | −11.4338 | −0.591226 | ||||||||
\(375\) | 18.7882 | − | 4.69082i | 0.970218 | − | 0.242233i | ||||
\(376\) | − | 33.3765i | − | 1.72126i | ||||||
\(377\) | 10.0017 | − | 10.0017i | 0.515114 | − | 0.515114i | ||||
\(378\) | 4.85207 | − | 16.7957i | 0.249563 | − | 0.863878i | ||||
\(379\) | 28.6792i | 1.47315i | 0.676355 | + | 0.736576i | \(0.263559\pi\) | ||||
−0.676355 | + | 0.736576i | \(0.736441\pi\) | |||||||
\(380\) | 1.98152 | − | 2.86881i | 0.101650 | − | 0.147167i | ||||
\(381\) | 6.95219 | − | 22.6241i | 0.356171 | − | 1.15907i | ||||
\(382\) | −10.6802 | − | 10.6802i | −0.546445 | − | 0.546445i | ||||
\(383\) | 23.4050 | − | 6.27136i | 1.19594 | − | 0.320451i | 0.394709 | − | 0.918806i | \(-0.370845\pi\) |
0.801231 | + | 0.598355i | \(0.204179\pi\) | |||||||
\(384\) | 11.6491 | + | 3.57967i | 0.594466 | + | 0.182674i | ||||
\(385\) | 0.138506 | + | 15.9157i | 0.00705892 | + | 0.811142i | ||||
\(386\) | −9.31480 | −0.474111 | ||||||||
\(387\) | 24.5120 | + | 8.51848i | 1.24602 | + | 0.433019i | ||||
\(388\) | −5.32444 | + | 1.42668i | −0.270308 | + | 0.0724287i | ||||
\(389\) | −22.9519 | + | 13.2513i | −1.16371 | + | 0.671866i | −0.952189 | − | 0.305508i | \(-0.901174\pi\) |
−0.211517 | + | 0.977374i | \(0.567840\pi\) | |||||||
\(390\) | 17.6873 | + | 2.08249i | 0.895633 | + | 0.105451i | ||||
\(391\) | −5.46238 | + | 3.15371i | −0.276244 | + | 0.159490i | ||||
\(392\) | −9.05277 | − | 19.1826i | −0.457234 | − | 0.968870i | ||||
\(393\) | 1.24050 | − | 34.1271i | 0.0625748 | − | 1.72148i | ||||
\(394\) | 24.1832i | 1.21833i | ||||||||
\(395\) | −0.751341 | − | 1.58470i | −0.0378041 | − | 0.0797348i | ||||
\(396\) | 0.224352 | − | 3.08198i | 0.0112741 | − | 0.154875i | ||||
\(397\) | 10.3098 | + | 2.76250i | 0.517434 | + | 0.138646i | 0.508079 | − | 0.861310i | \(-0.330356\pi\) |
0.00935437 | + | 0.999956i | \(0.497022\pi\) | |||||||
\(398\) | −17.5824 | + | 4.71118i | −0.881324 | + | 0.236150i | ||||
\(399\) | −18.6366 | + | 0.993061i | −0.932996 | + | 0.0497152i | ||||
\(400\) | 9.77143 | − | 11.9526i | 0.488571 | − | 0.597628i | ||||
\(401\) | −14.5763 | + | 25.2469i | −0.727905 | + | 1.26077i | 0.229862 | + | 0.973223i | \(0.426172\pi\) |
−0.957767 | + | 0.287545i | \(0.907161\pi\) | |||||||
\(402\) | 8.44190 | − | 4.47320i | 0.421043 | − | 0.223103i | ||||
\(403\) | −19.8218 | − | 5.31123i | −0.987393 | − | 0.264571i | ||||
\(404\) | −0.362689 | − | 0.628196i | −0.0180445 | − | 0.0312539i | ||||
\(405\) | 14.7277 | + | 13.7147i | 0.731826 | + | 0.681491i | ||||
\(406\) | −8.43627 | + | 10.1011i | −0.418685 | + | 0.501309i | ||||
\(407\) | 21.2305 | − | 5.68870i | 1.05236 | − | 0.281978i | ||||
\(408\) | −0.637162 | + | 17.5289i | −0.0315442 | + | 0.867808i | ||||
\(409\) | −5.31859 | −0.262987 | −0.131494 | − | 0.991317i | \(-0.541977\pi\) | ||||
−0.131494 | + | 0.991317i | \(0.541977\pi\) | |||||||
\(410\) | −17.8682 | + | 3.26870i | −0.882449 | + | 0.161430i | ||||
\(411\) | −26.3478 | + | 6.04329i | −1.29964 | + | 0.298094i | ||||
\(412\) | 1.14796 | + | 4.28424i | 0.0565558 | + | 0.211069i | ||||
\(413\) | 18.8196 | + | 26.7459i | 0.926050 | + | 1.31608i | ||||
\(414\) | 3.13784 | + | 6.48039i | 0.154216 | + | 0.318494i | ||||
\(415\) | −3.55270 | + | 3.02002i | −0.174395 | + | 0.148247i | ||||
\(416\) | −6.68254 | + | 3.85817i | −0.327639 | + | 0.189162i | ||||
\(417\) | 1.01585 | − | 1.62056i | 0.0497466 | − | 0.0793590i | ||||
\(418\) | 13.4586 | − | 3.60621i | 0.658279 | − | 0.176385i | ||||
\(419\) | 0.0870991 | + | 0.150860i | 0.00425507 | + | 0.00737000i | 0.868145 | − | 0.496310i | \(-0.165312\pi\) |
−0.863890 | + | 0.503680i | \(0.831979\pi\) | |||||||
\(420\) | 3.92171 | + | 0.108389i | 0.191360 | + | 0.00528883i | ||||
\(421\) | −13.2413 | + | 22.9346i | −0.645341 | + | 1.11776i | 0.338882 | + | 0.940829i | \(0.389951\pi\) |
−0.984223 | + | 0.176935i | \(0.943382\pi\) | |||||||
\(422\) | −3.94261 | + | 14.7140i | −0.191923 | + | 0.716267i | ||||
\(423\) | −6.21245 | − | 32.4545i | −0.302060 | − | 1.57799i | ||||
\(424\) | 8.93581 | + | 5.15909i | 0.433961 | + | 0.250548i | ||||
\(425\) | 15.2336 | + | 6.86754i | 0.738937 | + | 0.333124i | ||||
\(426\) | 6.12268 | − | 19.9247i | 0.296645 | − | 0.965352i | ||||
\(427\) | −20.1793 | + | 14.1990i | −0.976545 | + | 0.687140i | ||||
\(428\) | 2.58773 | + | 0.693379i | 0.125083 | + | 0.0335158i | ||||
\(429\) | −11.4742 | − | 12.3398i | −0.553978 | − | 0.595771i | ||||
\(430\) | 1.98687 | − | 24.5162i | 0.0958153 | − | 1.18228i | ||||
\(431\) | 5.81237 | − | 10.0673i | 0.279972 | − | 0.484926i | −0.691405 | − | 0.722467i | \(-0.743008\pi\) |
0.971377 | + | 0.237541i | \(0.0763415\pi\) | |||||||
\(432\) | 15.9489 | + | 1.74534i | 0.767339 | + | 0.0839728i | ||||
\(433\) | 23.9432 | + | 23.9432i | 1.15064 | + | 1.15064i | 0.986425 | + | 0.164211i | \(0.0525078\pi\) |
0.164211 | + | 0.986425i | \(0.447492\pi\) | |||||||
\(434\) | 18.8111 | + | 3.27227i | 0.902962 | + | 0.157074i | ||||
\(435\) | −5.98870 | − | 13.9157i | −0.287136 | − | 0.667205i | ||||
\(436\) | −0.508029 | + | 0.879932i | −0.0243302 | + | 0.0421411i | ||||
\(437\) | 5.43502 | − | 5.43502i | 0.259992 | − | 0.259992i | ||||
\(438\) | 1.06837 | − | 29.3918i | 0.0510488 | − | 1.40440i | ||||
\(439\) | 30.9315 | 1.47628 | 0.738140 | − | 0.674648i | \(-0.235704\pi\) | ||||
0.738140 | + | 0.674648i | \(0.235704\pi\) | |||||||
\(440\) | −17.9316 | + | 3.28029i | −0.854856 | + | 0.156382i | ||||
\(441\) | −12.3732 | − | 16.9677i | −0.589201 | − | 0.807987i | ||||
\(442\) | 10.8667 | + | 10.8667i | 0.516877 | + | 0.516877i | ||||
\(443\) | −17.3794 | + | 17.3794i | −0.825721 | + | 0.825721i | −0.986922 | − | 0.161201i | \(-0.948463\pi\) |
0.161201 | + | 0.986922i | \(0.448463\pi\) | |||||||
\(444\) | −1.21118 | − | 5.28057i | −0.0574802 | − | 0.250605i | ||||
\(445\) | 5.90660 | + | 4.07976i | 0.280000 | + | 0.193399i | ||||
\(446\) | 13.1180 | + | 7.57369i | 0.621156 | + | 0.358625i | ||||
\(447\) | −0.674207 | + | 18.5480i | −0.0318889 | + | 0.877290i | ||||
\(448\) | 19.2338 | − | 13.5337i | 0.908710 | − | 0.639408i | ||||
\(449\) | 33.7370i | 1.59215i | 0.605200 | + | 0.796074i | \(0.293093\pi\) | ||||
−0.605200 | + | 0.796074i | \(0.706907\pi\) | |||||||
\(450\) | 9.08134 | − | 16.7745i | 0.428098 | − | 0.790758i | ||||
\(451\) | 14.8837 | + | 8.59312i | 0.700847 | + | 0.404634i | ||||
\(452\) | 1.11180 | − | 4.14930i | 0.0522948 | − | 0.195167i | ||||
\(453\) | 7.69988 | − | 12.2834i | 0.361772 | − | 0.577122i | ||||
\(454\) | −9.82154 | − | 17.0114i | −0.460948 | − | 0.798385i | ||||
\(455\) | 14.9948 | − | 15.2581i | 0.702966 | − | 0.715309i | ||||
\(456\) | −4.77860 | − | 20.8340i | −0.223778 | − | 0.975640i | ||||
\(457\) | 26.3160 | + | 26.3160i | 1.23101 | + | 1.23101i | 0.963577 | + | 0.267432i | \(0.0861752\pi\) |
0.267432 | + | 0.963577i | \(0.413825\pi\) | |||||||
\(458\) | −1.14136 | + | 0.305827i | −0.0533323 | + | 0.0142904i | ||||
\(459\) | 2.64314 | + | 17.1632i | 0.123371 | + | 0.801111i | ||||
\(460\) | −1.23107 | + | 1.04649i | −0.0573989 | + | 0.0487928i | ||||
\(461\) | −13.7341 | − | 7.92937i | −0.639660 | − | 0.369308i | 0.144824 | − | 0.989457i | \(-0.453738\pi\) |
−0.784483 | + | 0.620150i | \(0.787072\pi\) | |||||||
\(462\) | 11.6602 | + | 10.4805i | 0.542484 | + | 0.487595i | ||||
\(463\) | −2.88253 | − | 0.772371i | −0.133962 | − | 0.0358951i | 0.191215 | − | 0.981548i | \(-0.438757\pi\) |
−0.325177 | + | 0.945653i | \(0.605424\pi\) | |||||||
\(464\) | −10.4597 | − | 6.03890i | −0.485578 | − | 0.280349i | ||||
\(465\) | −13.1399 | + | 17.6189i | −0.609350 | + | 0.817057i | ||||
\(466\) | −2.33644 | − | 4.04683i | −0.108233 | − | 0.187466i | ||||
\(467\) | −38.3611 | − | 10.2788i | −1.77514 | − | 0.475648i | −0.785457 | − | 0.618916i | \(-0.787572\pi\) |
−0.989684 | + | 0.143269i | \(0.954239\pi\) | |||||||
\(468\) | −3.14236 | + | 2.71590i | −0.145255 | + | 0.125543i | ||||
\(469\) | 1.96677 | − | 11.3062i | 0.0908169 | − | 0.522073i | ||||
\(470\) | −28.3005 | + | 13.4179i | −1.30541 | + | 0.618923i | ||||
\(471\) | 28.0359 | + | 8.61519i | 1.29183 | + | 0.396967i | ||||
\(472\) | −26.4851 | + | 26.4851i | −1.21908 | + | 1.21908i | ||||
\(473\) | −16.4555 | + | 16.4555i | −0.756625 | + | 0.756625i | ||||
\(474\) | −1.65133 | − | 0.507438i | −0.0758479 | − | 0.0233074i | ||||
\(475\) | −20.0973 | − | 3.27903i | −0.922126 | − | 0.150452i | ||||
\(476\) | 2.59833 | + | 2.17008i | 0.119094 | + | 0.0994655i | ||||
\(477\) | 9.64925 | + | 3.35333i | 0.441809 | + | 0.153539i | ||||
\(478\) | 4.91275 | + | 1.31637i | 0.224704 | + | 0.0602092i | ||||
\(479\) | 1.93531 | + | 3.35206i | 0.0884267 | + | 0.153160i | 0.906846 | − | 0.421462i | \(-0.138483\pi\) |
−0.818420 | + | 0.574621i | \(0.805149\pi\) | |||||||
\(480\) | 1.19090 | + | 8.17838i | 0.0543570 | + | 0.373290i | ||||
\(481\) | −25.5842 | − | 14.7710i | −1.16654 | − | 0.673501i | ||||
\(482\) | 27.6438 | + | 7.40713i | 1.25914 | + | 0.337386i | ||||
\(483\) | 8.46133 | + | 1.79077i | 0.385004 | + | 0.0814829i | ||||
\(484\) | −1.24737 | − | 0.720169i | −0.0566986 | − | 0.0327350i | ||||
\(485\) | 20.8510 | + | 24.5287i | 0.946796 | + | 1.11379i | ||||
\(486\) | 19.7597 | − | 1.58680i | 0.896318 | − | 0.0719786i | ||||
\(487\) | −24.1803 | + | 6.47908i | −1.09571 | + | 0.293595i | −0.761017 | − | 0.648731i | \(-0.775300\pi\) |
−0.334695 | + | 0.942327i | \(0.608633\pi\) | |||||||
\(488\) | −19.9826 | − | 19.9826i | −0.904570 | − | 0.904570i | ||||
\(489\) | 3.72305 | + | 16.2319i | 0.168362 | + | 0.734033i | ||||
\(490\) | −12.6259 | + | 15.3878i | −0.570382 | + | 0.695149i | ||||
\(491\) | 5.93922 | + | 10.2870i | 0.268033 | + | 0.464247i | 0.968354 | − | 0.249581i | \(-0.0802929\pi\) |
−0.700321 | + | 0.713829i | \(0.746960\pi\) | |||||||
\(492\) | 2.24998 | − | 3.58931i | 0.101437 | − | 0.161819i | ||||
\(493\) | 3.38344 | − | 12.6272i | 0.152382 | − | 0.568699i | ||||
\(494\) | −16.2184 | − | 9.36372i | −0.729702 | − | 0.421294i | ||||
\(495\) | −16.8257 | + | 6.52734i | −0.756259 | + | 0.293382i | ||||
\(496\) | 17.5226i | 0.786787i | ||||||||
\(497\) | −14.4084 | − | 20.4768i | −0.646304 | − | 0.918511i | ||||
\(498\) | −0.166844 | + | 4.59001i | −0.00747644 | + | 0.205683i | ||||
\(499\) | −8.50818 | − | 4.91220i | −0.380878 | − | 0.219900i | 0.297322 | − | 0.954777i | \(-0.403906\pi\) |
−0.678200 | + | 0.734877i | \(0.737240\pi\) | |||||||
\(500\) | 4.15522 | + | 1.02831i | 0.185827 | + | 0.0459872i | ||||
\(501\) | −3.58281 | − | 15.6205i | −0.160068 | − | 0.697872i | ||||
\(502\) | −5.15200 | + | 5.15200i | −0.229945 | + | 0.229945i | ||||
\(503\) | −22.3285 | − | 22.3285i | −0.995578 | − | 0.995578i | 0.00441203 | − | 0.999990i | \(-0.498596\pi\) |
−0.999990 | + | 0.00441203i | \(0.998596\pi\) | |||||||
\(504\) | 16.7171 | − | 17.2920i | 0.744641 | − | 0.770248i | ||||
\(505\) | −2.40767 | + | 3.48578i | −0.107140 | + | 0.155115i | ||||
\(506\) | −6.45694 | −0.287046 | ||||||||
\(507\) | −0.00476648 | + | 0.131130i | −0.000211687 | + | 0.00582368i | ||||
\(508\) | 3.69944 | − | 3.69944i | 0.164136 | − | 0.164136i | ||||
\(509\) | −8.04577 | + | 13.9357i | −0.356622 | + | 0.617688i | −0.987394 | − | 0.158280i | \(-0.949405\pi\) |
0.630772 | + | 0.775968i | \(0.282738\pi\) | |||||||
\(510\) | 15.1192 | − | 6.50665i | 0.669489 | − | 0.288119i | ||||
\(511\) | −27.1156 | − | 22.6465i | −1.19952 | − | 1.00182i | ||||
\(512\) | 17.8909 | + | 17.8909i | 0.790672 | + | 0.790672i | ||||
\(513\) | −8.52448 | − | 19.3690i | −0.376365 | − | 0.855162i | ||||
\(514\) | −8.00486 | + | 13.8648i | −0.353079 | + | 0.611551i | ||||
\(515\) | 19.7367 | − | 16.7775i | 0.869703 | − | 0.739304i | ||||
\(516\) | 3.90608 | + | 4.20076i | 0.171956 | + | 0.184928i | ||||
\(517\) | 28.6234 | + | 7.66961i | 1.25885 | + | 0.337309i | ||||
\(518\) | 24.9385 | + | 11.5592i | 1.09573 | + | 0.507881i | ||||
\(519\) | 1.53854 | − | 5.00679i | 0.0675346 | − | 0.219774i | ||||
\(520\) | 20.1599 | + | 13.9247i | 0.884071 | + | 0.610638i | ||||
\(521\) | −11.4283 | − | 6.59812i | −0.500682 | − | 0.289069i | 0.228313 | − | 0.973588i | \(-0.426679\pi\) |
−0.728995 | + | 0.684519i | \(0.760012\pi\) | |||||||
\(522\) | −14.0958 | − | 4.89862i | −0.616958 | − | 0.214407i | ||||
\(523\) | −6.65512 | + | 24.8373i | −0.291008 | + | 1.08606i | 0.653328 | + | 0.757075i | \(0.273372\pi\) |
−0.944336 | + | 0.328982i | \(0.893294\pi\) | |||||||
\(524\) | 3.77435 | − | 6.53736i | 0.164883 | − | 0.285586i | ||||
\(525\) | −9.24037 | − | 20.9670i | −0.403283 | − | 0.915075i | ||||
\(526\) | −7.54769 | − | 13.0730i | −0.329095 | − | 0.570009i | ||||
\(527\) | −18.3196 | + | 4.90873i | −0.798015 | + | 0.213827i | ||||
\(528\) | −7.64192 | + | 12.1909i | −0.332572 | + | 0.530540i | ||||
\(529\) | 16.8338 | − | 9.71902i | 0.731906 | − | 0.422566i | ||||
\(530\) | 0.782138 | − | 9.65089i | 0.0339739 | − | 0.419208i | ||||
\(531\) | −20.8238 | + | 30.6833i | −0.903674 | + | 1.33154i | ||||
\(532\) | −3.74290 | − | 1.73486i | −0.162275 | − | 0.0752159i | ||||
\(533\) | −5.97862 | − | 22.3125i | −0.258963 | − | 0.966462i | ||||
\(534\) | 6.89215 | − | 1.58082i | 0.298253 | − | 0.0684090i | ||||
\(535\) | −2.81552 | − | 15.3909i | −0.121726 | − | 0.665409i | ||||
\(536\) | 13.1436 | 0.567718 | ||||||||
\(537\) | −0.366214 | + | 10.0749i | −0.0158033 | + | 0.434762i | ||||
\(538\) | −26.7698 | + | 7.17294i | −1.15413 | + | 0.309247i | ||||
\(539\) | 18.5311 | − | 3.35558i | 0.798192 | − | 0.144535i | ||||
\(540\) | 1.45720 | + | 4.20306i | 0.0627080 | + | 0.180871i | ||||
\(541\) | 21.8209 | + | 37.7950i | 0.938156 | + | 1.62493i | 0.768908 | + | 0.639359i | \(0.220800\pi\) |
0.169247 | + | 0.985574i | \(0.445866\pi\) | |||||||
\(542\) | −6.81836 | − | 1.82697i | −0.292874 | − | 0.0784752i | ||||
\(543\) | −18.2228 | + | 9.65591i | −0.782015 | + | 0.414375i | ||||
\(544\) | −3.56578 | + | 6.17612i | −0.152882 | + | 0.264799i | ||||
\(545\) | 5.91473 | + | 0.479348i | 0.253359 | + | 0.0205330i | ||||
\(546\) | −1.12127 | − | 21.0426i | −0.0479859 | − | 0.900542i | ||||
\(547\) | 17.6673 | − | 4.73393i | 0.755398 | − | 0.202408i | 0.139487 | − | 0.990224i | \(-0.455455\pi\) |
0.615911 | + | 0.787816i | \(0.288788\pi\) | |||||||
\(548\) | −5.77175 | − | 1.54654i | −0.246557 | − | 0.0660648i | ||||
\(549\) | −23.1500 | − | 15.7112i | −0.988019 | − | 0.670537i | ||||
\(550\) | 9.99025 | + | 13.8858i | 0.425986 | + | 0.592093i | ||||
\(551\) | 15.9304i | 0.678659i | ||||||||
\(552\) | −0.359821 | + | 9.89899i | −0.0153150 | + | 0.421329i | ||||
\(553\) | −1.69709 | + | 1.19415i | −0.0721675 | + | 0.0507802i | ||||
\(554\) | 5.97339 | − | 3.44874i | 0.253785 | − | 0.146523i | ||||
\(555\) | −24.8364 | + | 19.6040i | −1.05425 | + | 0.832145i | ||||
\(556\) | 0.366141 | − | 0.211392i | 0.0155278 | − | 0.00896500i | ||||
\(557\) | 37.5101 | − | 10.0508i | 1.58935 | − | 0.425866i | 0.647549 | − | 0.762024i | \(-0.275794\pi\) |
0.941806 | + | 0.336158i | \(0.109127\pi\) | |||||||
\(558\) | 4.07037 | + | 21.2640i | 0.172313 | + | 0.900178i | ||||
\(559\) | 31.2788 | 1.32295 | ||||||||
\(560\) | −15.8985 | − | 8.99548i | −0.671836 | − | 0.380128i | ||||
\(561\) | −14.8862 | − | 4.57440i | −0.628496 | − | 0.193131i | ||||
\(562\) | 0.435326 | − | 0.116645i | 0.0183631 | − | 0.00492038i | ||||
\(563\) | −16.8075 | − | 16.8075i | −0.708353 | − | 0.708353i | 0.257836 | − | 0.966189i | \(-0.416991\pi\) |
−0.966189 | + | 0.257836i | \(0.916991\pi\) | |||||||
\(564\) | 2.14552 | − | 6.98202i | 0.0903425 | − | 0.293996i | ||||
\(565\) | −24.6787 | + | 4.51456i | −1.03824 | + | 0.189929i | ||||
\(566\) | 11.4293i | 0.480410i | ||||||||
\(567\) | 13.0367 | − | 19.9260i | 0.547491 | − | 0.836811i | ||||
\(568\) | 20.2772 | − | 20.2772i | 0.850813 | − | 0.850813i | ||||
\(569\) | 22.4427i | 0.940845i | 0.882441 | + | 0.470423i | \(0.155899\pi\) | ||||
−0.882441 | + | 0.470423i | \(0.844101\pi\) | |||||||
\(570\) | −15.7444 | + | 12.4275i | −0.659461 | + | 0.520530i | ||||
\(571\) | 25.8322 | 1.08104 | 0.540521 | − | 0.841331i | \(-0.318227\pi\) | ||||
0.540521 | + | 0.841331i | \(0.318227\pi\) | |||||||
\(572\) | −0.964019 | − | 3.59777i | −0.0403077 | − | 0.150430i | ||||
\(573\) | −9.63214 | − | 18.1779i | −0.402388 | − | 0.759394i | ||||
\(574\) | 7.39745 | + | 20.1797i | 0.308764 | + | 0.842283i | ||||
\(575\) | 8.60278 | + | 3.87827i | 0.358761 | + | 0.161735i | ||||
\(576\) | 22.0653 | + | 14.9750i | 0.919387 | + | 0.623959i | ||||
\(577\) | −3.23482 | − | 12.0725i | −0.134667 | − | 0.502585i | −0.999999 | − | 0.00138538i | \(-0.999559\pi\) |
0.865332 | − | 0.501199i | \(-0.167108\pi\) | |||||||
\(578\) | −7.16242 | − | 1.91917i | −0.297918 | − | 0.0798268i | ||||
\(579\) | −12.1274 | − | 3.72664i | −0.503997 | − | 0.154874i | ||||
\(580\) | 0.270509 | − | 3.33784i | 0.0112323 | − | 0.138596i | ||||
\(581\) | 4.23454 | + | 3.53662i | 0.175678 | + | 0.146724i | ||||
\(582\) | 31.6906 | + | 1.15193i | 1.31362 | + | 0.0477491i | ||||
\(583\) | −6.47777 | + | 6.47777i | −0.268282 | + | 0.268282i | ||||
\(584\) | 20.2312 | − | 35.0415i | 0.837174 | − | 1.45003i | ||||
\(585\) | 22.1949 | + | 9.78761i | 0.917644 | + | 0.404668i | ||||
\(586\) | 13.2586 | − | 7.65484i | 0.547707 | − | 0.316219i | ||||
\(587\) | −10.3682 | − | 38.6945i | −0.427940 | − | 1.59709i | −0.757419 | − | 0.652930i | \(-0.773540\pi\) |
0.329479 | − | 0.944163i | \(-0.393127\pi\) | |||||||
\(588\) | −0.660645 | − | 4.59475i | −0.0272445 | − | 0.189484i | ||||
\(589\) | 20.0156 | − | 11.5560i | 0.824728 | − | 0.476157i | ||||
\(590\) | 33.1047 | + | 11.8098i | 1.36290 | + | 0.486200i | ||||
\(591\) | −9.67516 | + | 31.4853i | −0.397983 | + | 1.29513i | ||||
\(592\) | −6.52884 | + | 24.3660i | −0.268334 | + | 1.00144i | ||||
\(593\) | −8.41185 | + | 31.3935i | −0.345433 | + | 1.28918i | 0.546672 | + | 0.837347i | \(0.315895\pi\) |
−0.892105 | + | 0.451828i | \(0.850772\pi\) | |||||||
\(594\) | −6.44177 | + | 16.5691i | −0.264309 | + | 0.679837i | ||||
\(595\) | 4.95087 | − | 19.1417i | 0.202966 | − | 0.784732i | ||||
\(596\) | −2.05135 | + | 3.55304i | −0.0840265 | + | 0.145538i | ||||
\(597\) | −24.7762 | − | 0.900597i | −1.01402 | − | 0.0368590i | ||||
\(598\) | 6.13671 | + | 6.13671i | 0.250949 | + | 0.250949i | ||||
\(599\) | 4.09821i | 0.167448i | 0.996489 | + | 0.0837241i | \(0.0266814\pi\) | ||||
−0.996489 | + | 0.0837241i | \(0.973319\pi\) | |||||||
\(600\) | 21.8447 | − | 14.5420i | 0.891808 | − | 0.593675i | ||||
\(601\) | 24.6384 | + | 14.2250i | 1.00502 | + | 0.580250i | 0.909731 | − | 0.415199i | \(-0.136288\pi\) |
0.0952922 | + | 0.995449i | \(0.469621\pi\) | |||||||
\(602\) | −28.9864 | + | 2.60324i | −1.18140 | + | 0.106100i | ||||
\(603\) | 12.7805 | − | 2.44646i | 0.520464 | − | 0.0996276i | ||||
\(604\) | 2.77524 | − | 1.60229i | 0.112923 | − | 0.0651961i | ||||
\(605\) | −0.679512 | + | 8.38458i | −0.0276261 | + | 0.340882i | ||||
\(606\) | 0.932925 | + | 4.06741i | 0.0378975 | + | 0.165227i | ||||
\(607\) | −1.91347 | − | 7.14117i | −0.0776654 | − | 0.289851i | 0.916159 | − | 0.400815i | \(-0.131273\pi\) |
−0.993824 | + | 0.110964i | \(0.964606\pi\) | |||||||
\(608\) | 2.24929 | − | 8.39448i | 0.0912209 | − | 0.340441i | ||||
\(609\) | −15.0248 | + | 9.77594i | −0.608836 | + | 0.396141i | ||||
\(610\) | −8.91026 | + | 24.9770i | −0.360766 | + | 1.01129i | ||||
\(611\) | −19.9146 | − | 34.4931i | −0.805657 | − | 1.39544i | ||||
\(612\) | −1.26008 | + | 3.62590i | −0.0509359 | + | 0.146568i | ||||
\(613\) | −6.32640 | − | 23.6105i | −0.255521 | − | 0.953617i | −0.967800 | − | 0.251721i | \(-0.919004\pi\) |
0.712279 | − | 0.701897i | \(-0.247663\pi\) | |||||||
\(614\) | 10.4501 | 0.421733 | ||||||||
\(615\) | −24.5712 | − | 2.89300i | −0.990808 | − | 0.116657i | ||||
\(616\) | 7.42369 | + | 20.2512i | 0.299109 | + | 0.815946i | ||||
\(617\) | −3.38964 | + | 12.6503i | −0.136462 | + | 0.509282i | 0.863526 | + | 0.504304i | \(0.168251\pi\) |
−0.999988 | + | 0.00497730i | \(0.998416\pi\) | |||||||
\(618\) | 0.926886 | − | 25.4994i | 0.0372848 | − | 1.02574i | ||||
\(619\) | 6.66705 | + | 11.5477i | 0.267971 | + | 0.464140i | 0.968338 | − | 0.249644i | \(-0.0803134\pi\) |
−0.700367 | + | 0.713783i | \(0.746980\pi\) | |||||||
\(620\) | −4.39001 | + | 2.08141i | −0.176307 | + | 0.0835913i | ||||
\(621\) | 1.49264 | + | 9.69251i | 0.0598978 | + | 0.388947i | ||||
\(622\) | 6.91655 | − | 6.91655i | 0.277328 | − | 0.277328i | ||||
\(623\) | 3.57192 | − | 7.70627i | 0.143106 | − | 0.308745i | ||||
\(624\) | 18.8492 | − | 4.32337i | 0.754572 | − | 0.173073i | ||||
\(625\) | −4.97000 | − | 24.5010i | −0.198800 | − | 0.980040i | ||||
\(626\) | − | 2.34083i | − | 0.0935585i | ||||||
\(627\) | 18.9651 | + | 0.689369i | 0.757394 | + | 0.0275308i | ||||
\(628\) | 4.58436 | + | 4.58436i | 0.182936 | + | 0.182936i | ||||
\(629\) | −27.3033 | −1.08865 | ||||||||
\(630\) | −21.3828 | − | 7.22308i | −0.851911 | − | 0.287774i | ||||
\(631\) | 32.6262 | 1.29883 | 0.649415 | − | 0.760435i | \(-0.275014\pi\) | ||||
0.649415 | + | 0.760435i | \(0.275014\pi\) | |||||||
\(632\) | −1.68055 | − | 1.68055i | −0.0668485 | − | 0.0668485i | ||||
\(633\) | −11.0198 | + | 17.5795i | −0.437999 | + | 0.698724i | ||||
\(634\) | 14.0757i | 0.559019i | ||||||||
\(635\) | −28.7791 | − | 10.2666i | −1.14206 | − | 0.407418i | ||||
\(636\) | 1.53764 | + | 1.65365i | 0.0609716 | + | 0.0655713i | ||||
\(637\) | −20.8012 | − | 14.4229i | −0.824175 | − | 0.571457i | ||||
\(638\) | 9.46287 | − | 9.46287i | 0.374639 | − | 0.374639i | ||||
\(639\) | 15.9428 | − | 23.4913i | 0.630688 | − | 0.929303i | ||||
\(640\) | 5.28626 | − | 14.8183i | 0.208958 | − | 0.585744i | ||||
\(641\) | 2.95339 | + | 5.11543i | 0.116652 | + | 0.202047i | 0.918439 | − | 0.395563i | \(-0.129450\pi\) |
−0.801787 | + | 0.597610i | \(0.796117\pi\) | |||||||
\(642\) | −13.0585 | − | 8.18581i | −0.515379 | − | 0.323068i | ||||
\(643\) | 11.2334 | − | 41.9236i | 0.443002 | − | 1.65331i | −0.278155 | − | 0.960536i | \(-0.589723\pi\) |
0.721157 | − | 0.692771i | \(-0.243610\pi\) | |||||||
\(644\) | 1.46734 | + | 1.22550i | 0.0578213 | + | 0.0482914i | ||||
\(645\) | 12.3952 | − | 31.1239i | 0.488060 | − | 1.22550i | ||||
\(646\) | −17.3082 | −0.680983 | ||||||||
\(647\) | 2.37686 | + | 8.87056i | 0.0934439 | + | 0.348738i | 0.996779 | − | 0.0801982i | \(-0.0255553\pi\) |
−0.903335 | + | 0.428936i | \(0.858889\pi\) | |||||||
\(648\) | 25.0427 | + | 10.7991i | 0.983769 | + | 0.424227i | ||||
\(649\) | −16.6274 | − | 28.7995i | −0.652682 | − | 1.13048i | ||||
\(650\) | 3.70237 | − | 22.6919i | 0.145219 | − | 0.890051i | ||||
\(651\) | 23.1819 | + | 11.7862i | 0.908571 | + | 0.461939i | ||||
\(652\) | −0.952765 | + | 3.55577i | −0.0373132 | + | 0.139255i | ||||
\(653\) | −6.19414 | − | 23.1168i | −0.242395 | − | 0.904632i | −0.974675 | − | 0.223627i | \(-0.928210\pi\) |
0.732279 | − | 0.681004i | \(-0.238456\pi\) | |||||||
\(654\) | 4.28065 | − | 3.98037i | 0.167387 | − | 0.155645i | ||||
\(655\) | −43.9429 | − | 3.56127i | −1.71699 | − | 0.139150i | ||||
\(656\) | −17.0818 | + | 9.86220i | −0.666933 | + | 0.385054i | ||||
\(657\) | 13.1500 | − | 37.8392i | 0.513030 | − | 1.47625i | ||||
\(658\) | 21.3258 | + | 30.3077i | 0.831366 | + | 1.18152i | ||||
\(659\) | −22.9483 | − | 13.2492i | −0.893940 | − | 0.516117i | −0.0187108 | − | 0.999825i | \(-0.505956\pi\) |
−0.875229 | + | 0.483708i | \(0.839290\pi\) | |||||||
\(660\) | −3.96198 | − | 0.466480i | −0.154220 | − | 0.0181577i | ||||
\(661\) | 17.6678i | 0.687198i | 0.939116 | + | 0.343599i | \(0.111646\pi\) | ||||
−0.939116 | + | 0.343599i | \(0.888354\pi\) | |||||||
\(662\) | −22.7371 | − | 22.7371i | −0.883703 | − | 0.883703i | ||||
\(663\) | 9.80038 | + | 18.4955i | 0.380615 | + | 0.718304i | ||||
\(664\) | −3.15943 | + | 5.47230i | −0.122610 | + | 0.212366i | ||||
\(665\) | 0.209667 | + | 24.0929i | 0.00813056 | + | 0.934284i | ||||
\(666\) | −2.26284 | + | 31.0852i | −0.0876834 | + | 1.20453i | ||||
\(667\) | 1.91071 | − | 7.13088i | 0.0739831 | − | 0.276109i | ||||
\(668\) | 0.916876 | − | 3.42183i | 0.0354750 | − | 0.132394i | ||||
\(669\) | 14.0489 | + | 15.1088i | 0.543163 | + | 0.584139i | ||||
\(670\) | −5.28397 | − | 11.1447i | −0.204137 | − | 0.430558i | ||||
\(671\) | 21.7287 | − | 12.5451i | 0.838829 | − | 0.484298i | ||||
\(672\) | 9.29758 | − | 3.02997i | 0.358662 | − | 0.116884i | ||||
\(673\) | 8.31515 | + | 31.0326i | 0.320526 | + | 1.19622i | 0.918734 | + | 0.394877i | \(0.129213\pi\) |
−0.598208 | + | 0.801341i | \(0.704120\pi\) | |||||||
\(674\) | −10.2039 | + | 5.89121i | −0.393039 | + | 0.226921i | ||||
\(675\) | 18.5346 | − | 18.2063i | 0.713395 | − | 0.700762i | ||||
\(676\) | −0.0145026 | + | 0.0251192i | −0.000557790 | + | 0.000966121i | ||||
\(677\) | −12.0544 | + | 12.0544i | −0.463287 | + | 0.463287i | −0.899731 | − | 0.436445i | \(-0.856238\pi\) |
0.436445 | + | 0.899731i | \(0.356238\pi\) | |||||||
\(678\) | −13.1256 | + | 20.9388i | −0.504085 | + | 0.804149i | ||||
\(679\) | 24.4178 | − | 29.2364i | 0.937068 | − | 1.12199i | ||||
\(680\) | 22.5706 | + | 1.82919i | 0.865543 | + | 0.0701463i | ||||
\(681\) | −5.98126 | − | 26.0774i | −0.229202 | − | 0.999287i | ||||
\(682\) | −18.7539 | − | 5.02510i | −0.718124 | − | 0.192421i | ||||
\(683\) | 12.0314 | + | 44.9017i | 0.460368 | + | 1.71812i | 0.671807 | + | 0.740726i | \(0.265518\pi\) |
−0.211439 | + | 0.977391i | \(0.567815\pi\) | |||||||
\(684\) | 0.339620 | − | 4.66544i | 0.0129857 | − | 0.178387i | ||||
\(685\) | 6.27984 | + | 34.3285i | 0.239940 | + | 1.31162i | ||||
\(686\) | 20.4771 | + | 11.6346i | 0.781820 | + | 0.444213i | ||||
\(687\) | −1.60835 | − | 0.0584624i | −0.0613624 | − | 0.00223048i | ||||
\(688\) | −6.91266 | − | 25.7984i | −0.263543 | − | 0.983555i | ||||
\(689\) | 12.3130 | 0.469088 | ||||||||
\(690\) | 8.53819 | − | 3.67447i | 0.325043 | − | 0.139885i | ||||
\(691\) | − | 38.6410i | − | 1.46997i | −0.678082 | − | 0.734986i | \(-0.737189\pi\) | ||
0.678082 | − | 0.734986i | \(-0.262811\pi\) | |||||||
\(692\) | 0.818699 | − | 0.818699i | 0.0311223 | − | 0.0311223i | ||||
\(693\) | 10.9880 | + | 18.3100i | 0.417401 | + | 0.695541i | ||||
\(694\) | − | 33.7972i | − | 1.28292i | ||||||
\(695\) | −2.03167 | − | 1.40330i | −0.0770657 | − | 0.0532302i | ||||
\(696\) | −13.9800 | − | 15.0346i | −0.529910 | − | 0.569886i | ||||
\(697\) | −15.0960 | − | 15.0960i | −0.571804 | − | 0.571804i | ||||
\(698\) | −14.6670 | + | 3.93002i | −0.555155 | + | 0.148753i | ||||
\(699\) | −1.42288 | − | 6.20352i | −0.0538181 | − | 0.234639i | ||||
\(700\) | 0.365182 | − | 5.05166i | 0.0138026 | − | 0.190935i | ||||
\(701\) | −10.9765 | −0.414578 | −0.207289 | − | 0.978280i | \(-0.566464\pi\) | ||||
−0.207289 | + | 0.978280i | \(0.566464\pi\) | |||||||
\(702\) | 21.8696 | − | 9.62504i | 0.825416 | − | 0.363274i | ||||
\(703\) | 32.1383 | − | 8.61144i | 1.21212 | − | 0.324787i | ||||
\(704\) | −20.7106 | + | 11.9573i | −0.780560 | + | 0.450657i | ||||
\(705\) | −42.2140 | + | 6.14704i | −1.58987 | + | 0.231511i | ||||
\(706\) | 24.4823 | − | 14.1349i | 0.921405 | − | 0.531973i | ||||
\(707\) | 4.54786 | + | 2.10797i | 0.171040 | + | 0.0792784i | ||||
\(708\) | −7.24295 | + | 3.83790i | −0.272207 | + | 0.144237i | ||||
\(709\) | − | 20.1829i | − | 0.757984i | −0.925400 | − | 0.378992i | \(-0.876271\pi\) | ||
0.925400 | − | 0.378992i | \(-0.123729\pi\) | |||||||
\(710\) | −25.3452 | − | 9.04163i | −0.951189 | − | 0.339326i | ||||
\(711\) | −1.94693 | − | 1.32132i | −0.0730155 | − | 0.0495533i | ||||
\(712\) | 9.39661 | + | 2.51781i | 0.352153 | + | 0.0943591i | ||||
\(713\) | −10.3455 | + | 2.77208i | −0.387444 | + | 0.103815i | ||||
\(714\) | −10.6214 | − | 16.3243i | −0.397497 | − | 0.610921i | ||||
\(715\) | −16.5743 | + | 14.0892i | −0.619843 | + | 0.526906i | ||||
\(716\) | −1.11425 | + | 1.92993i | −0.0416414 | + | 0.0721250i | ||||
\(717\) | 5.86950 | + | 3.67932i | 0.219200 | + | 0.137407i | ||||
\(718\) | −1.96195 | − | 0.525704i | −0.0732194 | − | 0.0196191i | ||||
\(719\) | 16.5297 | + | 28.6303i | 0.616455 | + | 1.06773i | 0.990127 | + | 0.140171i | \(0.0447652\pi\) |
−0.373672 | + | 0.927561i | \(0.621901\pi\) | |||||||
\(720\) | 3.16762 | − | 20.4692i | 0.118050 | − | 0.762840i | ||||
\(721\) | −23.5246 | − | 19.6474i | −0.876104 | − | 0.731708i | ||||
\(722\) | −2.96508 | + | 0.794491i | −0.110349 | + | 0.0295679i | ||||
\(723\) | 33.0274 | + | 20.7034i | 1.22830 | + | 0.769967i | ||||
\(724\) | −4.55866 | −0.169421 | ||||||||
\(725\) | −18.2914 | + | 6.92394i | −0.679326 | + | 0.257149i | ||||
\(726\) | 5.64247 | + | 6.06815i | 0.209412 | + | 0.225210i | ||||
\(727\) | −11.3589 | − | 42.3919i | −0.421277 | − | 1.57223i | −0.771921 | − | 0.635718i | \(-0.780704\pi\) |
0.350644 | − | 0.936509i | \(-0.385963\pi\) | |||||||
\(728\) | 12.1914 | − | 26.3024i | 0.451843 | − | 0.974832i | ||||
\(729\) | 26.3610 | + | 5.83949i | 0.976332 | + | 0.216277i | ||||
\(730\) | −37.8457 | − | 3.06713i | −1.40073 | − | 0.113520i | ||||
\(731\) | 25.0354 | − | 14.4542i | 0.925967 | − | 0.534607i | ||||
\(732\) | −2.89563 | − | 5.46469i | −0.107026 | − | 0.201981i | ||||
\(733\) | −9.92571 | + | 2.65959i | −0.366615 | + | 0.0982341i | −0.437423 | − | 0.899256i | \(-0.644109\pi\) |
0.0708085 | + | 0.997490i | \(0.477442\pi\) | |||||||
\(734\) | 5.47205 | + | 9.47787i | 0.201977 | + | 0.349835i | ||||
\(735\) | −22.5946 | + | 14.9827i | −0.833416 | + | 0.552646i | ||||
\(736\) | −2.01369 | + | 3.48781i | −0.0742255 | + | 0.128562i | ||||
\(737\) | −3.02029 | + | 11.2719i | −0.111254 | + | 0.415204i | ||||
\(738\) | −18.4382 | + | 15.9360i | −0.678721 | + | 0.586611i | ||||
\(739\) | 3.61639 | + | 2.08792i | 0.133031 | + | 0.0768054i | 0.565039 | − | 0.825065i | \(-0.308861\pi\) |
−0.432008 | + | 0.901870i | \(0.642195\pi\) | |||||||
\(740\) | −6.88004 | + | 1.25859i | −0.252915 | + | 0.0462667i | ||||
\(741\) | −17.3694 | − | 18.6797i | −0.638080 | − | 0.686217i | ||||
\(742\) | −11.4106 | + | 1.02477i | −0.418896 | + | 0.0376206i | ||||
\(743\) | −17.5154 | − | 4.69323i | −0.642577 | − | 0.172178i | −0.0772067 | − | 0.997015i | \(-0.524600\pi\) |
−0.565370 | + | 0.824837i | \(0.691267\pi\) | |||||||
\(744\) | −8.74894 | + | 28.4712i | −0.320752 | + | 1.04380i | ||||
\(745\) | 23.8829 | + | 1.93554i | 0.875001 | + | 0.0709128i | ||||
\(746\) | 19.1392 | − | 33.1501i | 0.700737 | − | 1.21371i | ||||
\(747\) | −2.05358 | + | 5.90921i | −0.0751366 | + | 0.216207i | ||||
\(748\) | −2.43415 | − | 2.43415i | −0.0890015 | − | 0.0890015i | ||||
\(749\) | −17.3819 | + | 6.37186i | −0.635122 | + | 0.232823i | ||||
\(750\) | −21.1124 | − | 12.6764i | −0.770916 | − | 0.462877i | ||||
\(751\) | −18.8232 | + | 32.6028i | −0.686870 | + | 1.18969i | 0.285976 | + | 0.958237i | \(0.407682\pi\) |
−0.972845 | + | 0.231456i | \(0.925651\pi\) | |||||||
\(752\) | −24.0483 | + | 24.0483i | −0.876953 | + | 0.876953i | ||||
\(753\) | −8.76884 | + | 4.64644i | −0.319554 | + | 0.169326i | ||||
\(754\) | −17.9871 | −0.655052 | ||||||||
\(755\) | −15.3995 | − | 10.6366i | −0.560445 | − | 0.387106i | ||||
\(756\) | 4.60863 | − | 2.54270i | 0.167614 | − | 0.0924771i | ||||
\(757\) | −27.8531 | − | 27.8531i | −1.01234 | − | 1.01234i | −0.999923 | − | 0.0124144i | \(-0.996048\pi\) |
−0.0124144 | − | 0.999923i | \(-0.503952\pi\) | |||||||
\(758\) | 25.7884 | − | 25.7884i | 0.936678 | − | 0.936678i | ||||
\(759\) | −8.40661 | − | 2.58328i | −0.305140 | − | 0.0937671i | ||||
\(760\) | −27.1445 | + | 4.96564i | −0.984635 | + | 0.180123i | ||||
\(761\) | −20.3286 | − | 11.7367i | −0.736911 | − | 0.425456i | 0.0840341 | − | 0.996463i | \(-0.473220\pi\) |
−0.820945 | + | 0.571007i | \(0.806553\pi\) | |||||||
\(762\) | −26.5951 | + | 14.0922i | −0.963439 | + | 0.510508i | ||||
\(763\) | −0.628052 | − | 6.99321i | −0.0227370 | − | 0.253171i | ||||
\(764\) | − | 4.54744i | − | 0.164521i | ||||||
\(765\) | 22.2876 | − | 2.42247i | 0.805809 | − | 0.0875845i | ||||
\(766\) | −26.6851 | − | 15.4067i | −0.964172 | − | 0.556665i | ||||
\(767\) | −11.5684 | + | 43.1740i | −0.417712 | + | 1.55892i | ||||
\(768\) | 7.16128 | + | 13.5149i | 0.258410 | + | 0.487676i | ||||
\(769\) | 7.06219 | + | 12.2321i | 0.254669 | + | 0.441100i | 0.964806 | − | 0.262964i | \(-0.0847002\pi\) |
−0.710137 | + | 0.704064i | \(0.751367\pi\) | |||||||
\(770\) | 14.1870 | − | 14.4360i | 0.511262 | − | 0.520239i | ||||
\(771\) | −15.9689 | + | 14.8487i | −0.575107 | + | 0.534764i | ||||
\(772\) | −1.98304 | − | 1.98304i | −0.0713713 | − | 0.0713713i | ||||
\(773\) | −20.1791 | + | 5.40696i | −0.725790 | + | 0.194475i | −0.602754 | − | 0.797927i | \(-0.705930\pi\) |
−0.123036 | + | 0.992402i | \(0.539263\pi\) | |||||||
\(774\) | −14.3815 | − | 29.7011i | −0.516931 | − | 1.06759i | ||||
\(775\) | 21.9682 | + | 17.9594i | 0.789120 | + | 0.645119i | ||||
\(776\) | 37.7822 | + | 21.8136i | 1.35630 | + | 0.783061i | ||||
\(777\) | 27.8441 | + | 25.0268i | 0.998900 | + | 0.897832i | ||||
\(778\) | 32.5540 | + | 8.72282i | 1.16712 | + | 0.312728i | ||||
\(779\) | 22.5307 | + | 13.0081i | 0.807245 | + | 0.466063i | ||||
\(780\) | 3.32214 | + | 4.20883i | 0.118952 | + | 0.150700i | ||||
\(781\) | 12.7301 | + | 22.0491i | 0.455517 | + | 0.788979i | ||||
\(782\) | 7.74762 | + | 2.07597i | 0.277054 | + | 0.0742364i | ||||
\(783\) | −16.3922 | − | 12.0172i | −0.585811 | − | 0.429459i | ||||
\(784\) | −7.29876 | + | 20.3441i | −0.260670 | + | 0.726576i | ||||
\(785\) | 12.7224 | − | 35.6632i | 0.454083 | − | 1.27287i | ||||
\(786\) | −31.8027 | + | 29.5717i | −1.13436 | + | 1.05479i | ||||
\(787\) | 29.9579 | − | 29.9579i | 1.06788 | − | 1.06788i | 0.0703614 | − | 0.997522i | \(-0.477585\pi\) |
0.997522 | − | 0.0703614i | \(-0.0224152\pi\) | |||||||
\(788\) | −5.14840 | + | 5.14840i | −0.183404 | + | 0.183404i | ||||
\(789\) | −4.59650 | − | 20.0400i | −0.163640 | − | 0.713444i | ||||
\(790\) | −0.749357 | + | 2.10057i | −0.0266609 | + | 0.0747351i | ||||
\(791\) | 10.2170 | + | 27.8711i | 0.363274 | + | 0.990983i | ||||
\(792\) | −18.5037 | + | 15.9925i | −0.657499 | + | 0.568269i | ||||
\(793\) | −32.5740 | − | 8.72819i | −1.15674 | − | 0.309947i | ||||
\(794\) | −6.78655 | − | 11.7547i | −0.240846 | − | 0.417157i | ||||
\(795\) | 4.87941 | − | 12.2521i | 0.173055 | − | 0.434535i | ||||
\(796\) | −4.74611 | − | 2.74017i | −0.168221 | − | 0.0971226i | ||||
\(797\) | −22.8067 | − | 6.11105i | −0.807856 | − | 0.216464i | −0.168826 | − | 0.985646i | \(-0.553997\pi\) |
−0.639030 | + | 0.769182i | \(0.720664\pi\) | |||||||
\(798\) | 17.6510 | + | 15.8651i | 0.624840 | + | 0.561619i | ||||
\(799\) | −31.8790 | − | 18.4054i | −1.12780 | − | 0.651135i | ||||
\(800\) | 10.6162 | − | 1.06589i | 0.375340 | − | 0.0376849i | ||||
\(801\) | 9.60569 | + | 0.699244i | 0.339400 | + | 0.0247066i | ||||
\(802\) | 35.8091 | − | 9.59502i | 1.26446 | − | 0.338812i | ||||
\(803\) | 25.4024 | + | 25.4024i | 0.896430 | + | 0.896430i | ||||
\(804\) | 2.74951 | + | 0.844902i | 0.0969679 | + | 0.0297974i | ||||
\(805\) | 2.79588 | − | 10.8098i | 0.0985419 | − | 0.380995i | ||||
\(806\) | 13.0479 | + | 22.5997i | 0.459594 | + | 0.796040i | ||||
\(807\) | −37.7226 | − | 1.37119i | −1.32790 | − | 0.0482682i | ||||
\(808\) | −1.48589 | + | 5.54542i | −0.0522734 | + | 0.195087i | ||||
\(809\) | −38.4816 | − | 22.2173i | −1.35294 | − | 0.781120i | −0.364280 | − | 0.931290i | \(-0.618685\pi\) |
−0.988660 | + | 0.150169i | \(0.952018\pi\) | |||||||
\(810\) | −0.910868 | − | 25.5756i | −0.0320046 | − | 0.898634i | ||||
\(811\) | 28.1633i | 0.988948i | 0.869192 | + | 0.494474i | \(0.164639\pi\) | ||||
−0.869192 | + | 0.494474i | \(0.835361\pi\) | |||||||
\(812\) | −3.94645 | + | 0.354426i | −0.138493 | + | 0.0124379i | ||||
\(813\) | −8.14622 | − | 5.10650i | −0.285701 | − | 0.179093i | ||||
\(814\) | −24.2059 | − | 13.9753i | −0.848415 | − | 0.489833i | ||||
\(815\) | 21.1485 | − | 3.86878i | 0.740801 | − | 0.135517i | ||||
\(816\) | 13.0889 | − | 12.1708i | 0.458205 | − | 0.426062i | ||||
\(817\) | −24.9100 | + | 24.9100i | −0.871490 | + | 0.871490i | ||||
\(818\) | 4.78249 | + | 4.78249i | 0.167216 | + | 0.167216i | ||||
\(819\) | 6.95886 | − | 27.8451i | 0.243162 | − | 0.972985i | ||||
\(820\) | −4.49987 | − | 3.10812i | −0.157142 | − | 0.108540i | ||||
\(821\) | 23.5969 | 0.823536 | 0.411768 | − | 0.911289i | \(-0.364911\pi\) | ||||
0.411768 | + | 0.911289i | \(0.364911\pi\) | |||||||
\(822\) | 29.1262 | + | 18.2579i | 1.01589 | + | 0.636818i | ||||
\(823\) | −21.0385 | + | 21.0385i | −0.733357 | + | 0.733357i | −0.971283 | − | 0.237926i | \(-0.923532\pi\) |
0.237926 | + | 0.971283i | \(0.423532\pi\) | |||||||
\(824\) | 17.5520 | − | 30.4009i | 0.611452 | − | 1.05907i | ||||
\(825\) | 7.45139 | + | 22.0755i | 0.259424 | + | 0.768570i | ||||
\(826\) | 7.12735 | − | 40.9726i | 0.247992 | − | 1.42562i | ||||
\(827\) | 30.5160 | + | 30.5160i | 1.06115 | + | 1.06115i | 0.998005 | + | 0.0631423i | \(0.0201122\pi\) |
0.0631423 | + | 0.998005i | \(0.479888\pi\) | |||||||
\(828\) | −0.711601 | + | 2.04764i | −0.0247298 | + | 0.0711604i | ||||
\(829\) | −14.0216 | + | 24.2862i | −0.486991 | + | 0.843493i | −0.999888 | − | 0.0149571i | \(-0.995239\pi\) |
0.512897 | + | 0.858450i | \(0.328572\pi\) | |||||||
\(830\) | 5.91021 | + | 0.478982i | 0.205146 | + | 0.0166257i | ||||
\(831\) | 9.15682 | − | 2.10026i | 0.317647 | − | 0.0728573i | ||||
\(832\) | 31.0477 | + | 8.31922i | 1.07639 | + | 0.288417i | ||||
\(833\) | −23.3142 | − | 1.93160i | −0.807788 | − | 0.0669260i | ||||
\(834\) | −2.37067 | + | 0.543751i | −0.0820896 | + | 0.0188286i | ||||
\(835\) | −20.3519 | + | 3.72305i | −0.704306 | + | 0.128841i | ||||
\(836\) | 3.63295 | + | 2.09748i | 0.125648 | + | 0.0725429i | ||||
\(837\) | −3.20785 | + | 29.3131i | −0.110879 | + | 1.01321i | ||||
\(838\) | 0.0573341 | − | 0.213974i | 0.00198057 | − | 0.00739160i | ||||
\(839\) | 7.48480 | − | 12.9641i | 0.258404 | − | 0.447569i | −0.707411 | − | 0.706803i | \(-0.750137\pi\) |
0.965815 | + | 0.259234i | \(0.0834701\pi\) | |||||||
\(840\) | −21.3410 | − | 22.5542i | −0.736334 | − | 0.778192i | ||||
\(841\) | −6.84967 | − | 11.8640i | −0.236195 | − | 0.409102i | ||||
\(842\) | 32.5295 | − | 8.71625i | 1.12104 | − | 0.300382i | ||||
\(843\) | 0.613439 | + | 0.0222981i | 0.0211280 | + | 0.000767988i | ||||
\(844\) | −3.97184 | + | 2.29314i | −0.136716 | + | 0.0789332i | ||||
\(845\) | 0.168846 | + | 0.0136838i | 0.00580849 | + | 0.000470738i | ||||
\(846\) | −23.5969 | + | 34.7694i | −0.811279 | + | 1.19540i | ||||
\(847\) | 9.91340 | − | 0.890311i | 0.340628 | − | 0.0305914i | ||||
\(848\) | −2.72120 | − | 10.1556i | −0.0934462 | − | 0.348746i | ||||
\(849\) | −4.57261 | + | 14.8804i | −0.156932 | + | 0.510693i | ||||
\(850\) | −7.52277 | − | 19.8734i | −0.258029 | − | 0.681652i | ||||
\(851\) | −15.4188 | −0.528551 | ||||||||
\(852\) | 5.54526 | − | 2.93832i | 0.189977 | − | 0.100665i | ||||
\(853\) | −6.58819 | + | 1.76530i | −0.225575 | + | 0.0604427i | −0.369836 | − | 0.929097i | \(-0.620586\pi\) |
0.144261 | + | 0.989540i | \(0.453920\pi\) | |||||||
\(854\) | 30.9131 | + | 5.37747i | 1.05783 | + | 0.184013i | ||||
\(855\) | −25.4704 | + | 9.88096i | −0.871069 | + | 0.337922i | ||||
\(856\) | −10.6016 | − | 18.3625i | −0.362355 | − | 0.627617i | ||||
\(857\) | −4.15333 | − | 1.11288i | −0.141875 | − | 0.0380153i | 0.187183 | − | 0.982325i | \(-0.440064\pi\) |
−0.329058 | + | 0.944310i | \(0.606731\pi\) | |||||||
\(858\) | −0.778370 | + | 21.4136i | −0.0265731 | + | 0.731049i | ||||
\(859\) | 9.95750 | − | 17.2469i | 0.339745 | − | 0.588456i | −0.644639 | − | 0.764487i | \(-0.722992\pi\) |
0.984385 | + | 0.176031i | \(0.0563258\pi\) | |||||||
\(860\) | 5.64228 | − | 4.79630i | 0.192400 | − | 0.163553i | ||||
\(861\) | 1.55767 | + | 29.2324i | 0.0530852 | + | 0.996239i | ||||
\(862\) | −14.2791 | + | 3.82607i | −0.486347 | + | 0.130316i | ||||
\(863\) | −11.6952 | − | 3.13372i | −0.398109 | − | 0.106673i | 0.0542092 | − | 0.998530i | \(-0.482736\pi\) |
−0.452318 | + | 0.891857i | \(0.649403\pi\) | |||||||
\(864\) | 6.94106 | + | 8.64691i | 0.236140 | + | 0.294174i | ||||
\(865\) | −6.36891 | − | 2.27204i | −0.216549 | − | 0.0772516i | ||||
\(866\) | − | 43.0596i | − | 1.46322i | ||||||
\(867\) | −8.55730 | − | 5.36418i | −0.290621 | − | 0.182177i | ||||
\(868\) | 3.30809 | + | 4.70136i | 0.112284 | + | 0.159575i | ||||
\(869\) | 1.82740 | − | 1.05505i | 0.0619902 | − | 0.0357900i | ||||
\(870\) | −7.12795 | + | 17.8981i | −0.241660 | + | 0.606801i | ||||
\(871\) | 13.5833 | − | 7.84234i | 0.460254 | − | 0.265728i | ||||
\(872\) | 7.76762 | − | 2.08133i | 0.263045 | − | 0.0704827i | ||||
\(873\) | 40.7987 | + | 14.1785i | 1.38083 | + | 0.479869i | ||||
\(874\) | −9.77438 | −0.330623 | ||||||||
\(875\) | −27.5725 | + | 10.7124i | −0.932122 | + | 0.362145i | ||||
\(876\) | 6.48472 | − | 6.02983i | 0.219098 | − | 0.203729i | ||||
\(877\) | 29.5254 | − | 7.91130i | 0.997001 | − | 0.267146i | 0.276812 | − | 0.960924i | \(-0.410722\pi\) |
0.720188 | + | 0.693778i | \(0.244055\pi\) | |||||||
\(878\) | −27.8137 | − | 27.8137i | −0.938667 | − | 0.938667i | ||||
\(879\) | 20.3245 | − | 4.66175i | 0.685529 | − | 0.157237i | ||||
\(880\) | 15.2836 | + | 10.5565i | 0.515209 | + | 0.355861i | ||||
\(881\) | − | 16.6157i | − | 0.559799i | −0.960029 | − | 0.279899i | \(-0.909699\pi\) | ||
0.960029 | − | 0.279899i | \(-0.0903011\pi\) | |||||||
\(882\) | −4.13140 | + | 26.3835i | −0.139111 | + | 0.888378i | ||||
\(883\) | −15.6711 | + | 15.6711i | −0.527373 | + | 0.527373i | −0.919788 | − | 0.392415i | \(-0.871640\pi\) |
0.392415 | + | 0.919788i | \(0.371640\pi\) | |||||||
\(884\) | 4.62687i | 0.155618i | ||||||||
\(885\) | 38.3759 | + | 28.6202i | 1.28999 | + | 0.962056i | ||||
\(886\) | 31.2553 | 1.05004 | ||||||||
\(887\) | −0.606361 | − | 2.26297i | −0.0203596 | − | 0.0759830i | 0.954999 | − | 0.296610i | \(-0.0958562\pi\) |
−0.975358 | + | 0.220627i | \(0.929190\pi\) | |||||||
\(888\) | −22.7741 | + | 36.3307i | −0.764247 | + | 1.21918i | ||||
\(889\) | −6.19605 | + | 35.6188i | −0.207809 | + | 1.19462i | ||||
\(890\) | −1.64270 | − | 8.97976i | −0.0550635 | − | 0.301002i | ||||
\(891\) | −15.0158 | + | 18.9949i | −0.503047 | + | 0.636352i | ||||
\(892\) | 1.18034 | + | 4.40509i | 0.0395207 | + | 0.147493i | ||||
\(893\) | 43.3295 | + | 11.6101i | 1.44997 | + | 0.388517i | ||||
\(894\) | 17.2847 | − | 16.0722i | 0.578086 | − | 0.537534i | ||||
\(895\) | 12.9726 | + | 1.05134i | 0.433628 | + | 0.0351425i | ||||
\(896\) | −18.3401 | − | 3.19033i | −0.612699 | − | 0.106582i | ||||
\(897\) | 5.53452 | + | 10.4448i | 0.184792 | + | 0.348743i | ||||
\(898\) | 30.3364 | − | 30.3364i | 1.01234 | − | 1.01234i | ||||
\(899\) | 11.0992 | − | 19.2243i | 0.370178 | − | 0.641168i | ||||
\(900\) | 5.50450 | − | 1.63781i | 0.183483 | − | 0.0545938i | ||||
\(901\) | 9.85527 | − | 5.68994i | 0.328327 | − | 0.189560i | ||||
\(902\) | −5.65653 | − | 21.1104i | −0.188342 | − | 0.702901i | ||||
\(903\) | −38.7803 | − | 8.20753i | −1.29053 | − | 0.273130i | ||||
\(904\) | −29.4434 | + | 16.9992i | −0.979273 | + | 0.565384i | ||||
\(905\) | 11.4060 | + | 24.0572i | 0.379150 | + | 0.799687i | ||||
\(906\) | −17.9690 | + | 4.12147i | −0.596980 | + | 0.136927i | ||||
\(907\) | 5.27647 | − | 19.6921i | 0.175202 | − | 0.653864i | −0.821315 | − | 0.570475i | \(-0.806759\pi\) |
0.996517 | − | 0.0833889i | \(-0.0265744\pi\) | |||||||
\(908\) | 1.53066 | − | 5.71251i | 0.0507968 | − | 0.189576i | ||||
\(909\) | −0.412660 | + | 5.66880i | −0.0136871 | + | 0.188022i | ||||
\(910\) | −27.2035 | + | 0.236737i | −0.901786 | + | 0.00784774i | ||||
\(911\) | 12.6842 | − | 21.9697i | 0.420246 | − | 0.727888i | −0.575717 | − | 0.817649i | \(-0.695277\pi\) |
0.995963 | + | 0.0897613i | \(0.0286104\pi\) | |||||||
\(912\) | −11.5682 | + | 18.4543i | −0.383061 | + | 0.611084i | ||||
\(913\) | −3.96699 | − | 3.96699i | −0.131288 | − | 0.131288i | ||||
\(914\) | − | 47.3268i | − | 1.56543i | ||||||
\(915\) | −21.5934 | + | 28.9540i | −0.713857 | + | 0.957188i | ||||
\(916\) | −0.308094 | − | 0.177878i | −0.0101797 | − | 0.00587727i | ||||
\(917\) | 4.66605 | + | 51.9553i | 0.154087 | + | 1.71572i | ||||
\(918\) | 13.0565 | − | 17.8100i | 0.430930 | − | 0.587816i | ||||
\(919\) | 31.6389 | − | 18.2667i | 1.04367 | − | 0.602564i | 0.122800 | − | 0.992431i | \(-0.460813\pi\) |
0.920871 | + | 0.389868i | \(0.127479\pi\) | |||||||
\(920\) | 12.7462 | + | 1.03299i | 0.420229 | + | 0.0340567i | ||||
\(921\) | 13.6055 | + | 4.18087i | 0.448318 | + | 0.137764i | ||||
\(922\) | 5.21961 | + | 19.4799i | 0.171899 | + | 0.641535i | ||||
\(923\) | 8.85687 | − | 33.0543i | 0.291527 | − | 1.08800i | ||||
\(924\) | 0.251165 | + | 4.71357i | 0.00826274 | + | 0.155065i | ||||
\(925\) | 23.8562 | + | 33.1586i | 0.784387 | + | 1.09025i | ||||
\(926\) | 1.89746 | + | 3.28650i | 0.0623544 | + | 0.108001i | ||||
\(927\) | 11.4085 | − | 32.8281i | 0.374705 | − | 1.07822i | ||||
\(928\) | −2.16038 | − | 8.06263i | −0.0709178 | − | 0.264669i | ||||
\(929\) | 24.1568 | 0.792558 | 0.396279 | − | 0.918130i | \(-0.370301\pi\) | ||||
0.396279 | + | 0.918130i | \(0.370301\pi\) | |||||||
\(930\) | 27.6585 | − | 4.02751i | 0.906957 | − | 0.132067i | ||||
\(931\) | 28.0520 | − | 5.07961i | 0.919368 | − | 0.166478i | ||||
\(932\) | 0.364128 | − | 1.35894i | 0.0119274 | − | 0.0445137i | ||||
\(933\) | 11.7722 | − | 6.23784i | 0.385403 | − | 0.204218i | ||||
\(934\) | 25.2517 | + | 43.7372i | 0.826261 | + | 1.43113i | ||||
\(935\) | −6.75522 | + | 18.9360i | −0.220919 | + | 0.619275i | ||||
\(936\) | 32.7853 | + | 2.38660i | 1.07162 | + | 0.0780086i | ||||
\(937\) | −24.5662 | + | 24.5662i | −0.802541 | + | 0.802541i | −0.983492 | − | 0.180951i | \(-0.942083\pi\) |
0.180951 | + | 0.983492i | \(0.442083\pi\) | |||||||
\(938\) | −11.9351 | + | 8.39808i | −0.389696 | + | 0.274207i | ||||
\(939\) | 0.936516 | − | 3.04765i | 0.0305620 | − | 0.0994562i | ||||
\(940\) | −8.88151 | − | 3.16838i | −0.289683 | − | 0.103341i | ||||
\(941\) | 25.1012i | 0.818275i | 0.912473 | + | 0.409137i | \(0.134170\pi\) | ||||
−0.912473 | + | 0.409137i | \(0.865830\pi\) | |||||||
\(942\) | −17.4632 | − | 32.9568i | −0.568981 | − | 1.07379i | ||||
\(943\) | −8.52512 | − | 8.52512i | −0.277616 | − | 0.277616i | ||||
\(944\) | 38.1661 | 1.24220 | ||||||||
\(945\) | −24.9495 | − | 17.9589i | −0.811608 | − | 0.584202i | ||||
\(946\) | 29.5937 | 0.962174 | ||||||||
\(947\) | 7.66140 | + | 7.66140i | 0.248962 | + | 0.248962i | 0.820545 | − | 0.571582i | \(-0.193670\pi\) |
−0.571582 | + | 0.820545i | \(0.693670\pi\) | |||||||
\(948\) | −0.243524 | − | 0.459583i | −0.00790929 | − | 0.0149265i | ||||
\(949\) | − | 48.2851i | − | 1.56740i | ||||||
\(950\) | 15.1230 | + | 21.0201i | 0.490656 | + | 0.681981i | ||||
\(951\) | −5.63139 | + | 18.3259i | −0.182610 | + | 0.594257i | ||||
\(952\) | −2.39664 | − | 26.6861i | −0.0776757 | − | 0.864900i | ||||
\(953\) | 22.8877 | − | 22.8877i | 0.741407 | − | 0.741407i | −0.231442 | − | 0.972849i | \(-0.574344\pi\) |
0.972849 | + | 0.231442i | \(0.0743444\pi\) | |||||||
\(954\) | −5.66131 | − | 11.6920i | −0.183292 | − | 0.378541i | ||||
\(955\) | −23.9979 | + | 11.3780i | −0.776555 | + | 0.368183i | ||||
\(956\) | 0.765639 | + | 1.32613i | 0.0247625 | + | 0.0428900i | ||||
\(957\) | 16.1061 | − | 8.53429i | 0.520635 | − | 0.275874i | ||||
\(958\) | 1.27394 | − | 4.75443i | 0.0411593 | − | 0.153609i | ||||
\(959\) | 38.7692 | − | 14.2120i | 1.25192 | − | 0.458930i | ||||
\(960\) | 20.5816 | − | 27.5973i | 0.664270 | − | 0.890698i | ||||
\(961\) | −1.20558 | −0.0388895 | ||||||||
\(962\) | 9.72322 | + | 36.2876i | 0.313489 | + | 1.16996i | ||||
\(963\) | −13.7266 | − | 15.8819i | −0.442333 | − | 0.511788i | ||||
\(964\) | 4.30822 | + | 7.46205i | 0.138758 | + | 0.240336i | ||||
\(965\) | −5.50330 | + | 15.4267i | −0.177158 | + | 0.496603i | ||||
\(966\) | −5.99819 | − | 9.21873i | −0.192989 | − | 0.296608i | ||||
\(967\) | 10.6169 | − | 39.6229i | 0.341417 | − | 1.27419i | −0.555325 | − | 0.831633i | \(-0.687406\pi\) |
0.896742 | − | 0.442553i | \(-0.145927\pi\) | |||||||
\(968\) | 2.95044 | + | 11.0112i | 0.0948307 | + | 0.353913i | ||||
\(969\) | −22.5344 | − | 6.92463i | −0.723910 | − | 0.222451i | ||||
\(970\) | 3.30702 | − | 40.8057i | 0.106182 | − | 1.31019i | ||||
\(971\) | 26.7074 | − | 15.4195i | 0.857082 | − | 0.494836i | −0.00595231 | − | 0.999982i | \(-0.501895\pi\) |
0.863034 | + | 0.505146i | \(0.168561\pi\) | |||||||
\(972\) | 4.54449 | + | 3.86886i | 0.145765 | + | 0.124094i | ||||
\(973\) | −1.22862 | + | 2.65070i | −0.0393878 | + | 0.0849776i | ||||
\(974\) | 27.5690 | + | 15.9170i | 0.883367 | + | 0.510012i | ||||
\(975\) | 13.8988 | − | 28.0625i | 0.445119 | − | 0.898720i | ||||
\(976\) | 28.7957i | 0.921727i | ||||||||
\(977\) | 40.1662 | + | 40.1662i | 1.28503 | + | 1.28503i | 0.937767 | + | 0.347264i | \(0.112889\pi\) |
0.347264 | + | 0.937767i | \(0.387111\pi\) | |||||||
\(978\) | 11.2480 | − | 17.9436i | 0.359672 | − | 0.573773i | ||||
\(979\) | −4.31851 | + | 7.47988i | −0.138020 | + | 0.239058i | ||||
\(980\) | −5.96388 | + | 0.587970i | −0.190509 | + | 0.0187820i | ||||
\(981\) | 7.16565 | − | 3.46964i | 0.228782 | − | 0.110777i | ||||
\(982\) | 3.90957 | − | 14.5907i | 0.124759 | − | 0.465608i | ||||
\(983\) | −13.7969 | + | 51.4907i | −0.440052 | + | 1.64230i | 0.288627 | + | 0.957442i | \(0.406801\pi\) |
−0.728679 | + | 0.684855i | \(0.759865\pi\) | |||||||
\(984\) | −32.6792 | + | 7.49548i | −1.04177 | + | 0.238947i | ||||
\(985\) | 40.0510 | + | 14.2877i | 1.27613 | + | 0.455245i | ||||
\(986\) | −14.3968 | + | 8.31200i | −0.458488 | + | 0.264708i | ||||
\(987\) | 15.6397 | + | 47.9910i | 0.497817 | + | 1.52757i | ||||
\(988\) | −1.45931 | − | 5.44623i | −0.0464269 | − | 0.173268i | ||||
\(989\) | 14.1381 | − | 8.16264i | 0.449566 | − | 0.259557i | ||||
\(990\) | 20.9991 | + | 9.26032i | 0.667396 | + | 0.294312i | ||||
\(991\) | 6.04086 | − | 10.4631i | 0.191894 | − | 0.332370i | −0.753984 | − | 0.656893i | \(-0.771870\pi\) |
0.945878 | + | 0.324523i | \(0.105204\pi\) | |||||||
\(992\) | −8.56305 | + | 8.56305i | −0.271877 | + | 0.271877i | ||||
\(993\) | −20.5059 | − | 38.6992i | −0.650737 | − | 1.22808i | ||||
\(994\) | −5.45675 | + | 31.3689i | −0.173078 | + | 0.994961i | ||||
\(995\) | −2.58547 | + | 31.9024i | −0.0819650 | + | 1.01138i | ||||
\(996\) | −1.01269 | + | 0.941655i | −0.0320884 | + | 0.0298375i | ||||
\(997\) | 14.8265 | + | 3.97275i | 0.469560 | + | 0.125818i | 0.485837 | − | 0.874049i | \(-0.338515\pi\) |
−0.0162773 | + | 0.999868i | \(0.505181\pi\) | |||||||
\(998\) | 3.23352 | + | 12.0676i | 0.102355 | + | 0.381995i | ||||
\(999\) | −15.3826 | + | 39.5661i | −0.486685 | + | 1.25182i |
(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 | 315.2.bs.e.52.12 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.29 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.12 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.12 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.29 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.12 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.29 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.29 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.29 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.12 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.29 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.29 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.12 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.12 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.29 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.12 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.12 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.12 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.12 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.12 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.29 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.12 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.12 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.29 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.29 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.29 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.29 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.29 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.12 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.29 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.29 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.12 | 160 | 9.5 | odd | 6 |