Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,4,Mod(5,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 42 = 2 \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 42.f (of order \(6\), degree \(2\), 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: | \(2.47808022024\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} - x^{14} - 2 x^{13} + 9 x^{12} - 24 x^{11} + 714 x^{10} - 1940 x^{9} - 2834 x^{8} + \cdots + 43046721 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.4 | ||
Root | \(-2.58777 - 1.51770i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 42.17 |
Dual form | 42.4.f.a.5.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/42\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.73205 | + | 1.00000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 4.48216 | − | 2.62874i | 0.862591 | − | 0.505902i | ||||
\(4\) | 2.00000 | − | 3.46410i | 0.250000 | − | 0.433013i | ||||
\(5\) | −5.27257 | − | 9.13236i | −0.471593 | − | 0.816823i | 0.527879 | − | 0.849320i | \(-0.322988\pi\) |
−0.999472 | + | 0.0324964i | \(0.989654\pi\) | |||||||
\(6\) | −5.13458 | + | 9.03527i | −0.349364 | + | 0.614772i | ||||
\(7\) | 17.7029 | − | 5.44135i | 0.955865 | − | 0.293806i | ||||
\(8\) | 8.00000i | 0.353553i | ||||||||
\(9\) | 13.1794 | − | 23.5649i | 0.488127 | − | 0.872773i | ||||
\(10\) | 18.2647 | + | 10.5451i | 0.577581 | + | 0.333467i | ||||
\(11\) | 26.6918 | + | 15.4105i | 0.731626 | + | 0.422405i | 0.819017 | − | 0.573770i | \(-0.194519\pi\) |
−0.0873906 | + | 0.996174i | \(0.527853\pi\) | |||||||
\(12\) | −0.141920 | − | 20.7841i | −0.00341405 | − | 0.499988i | ||||
\(13\) | − | 19.8400i | − | 0.423280i | −0.977348 | − | 0.211640i | \(-0.932120\pi\) | ||
0.977348 | − | 0.211640i | \(-0.0678804\pi\) | |||||||
\(14\) | −25.2209 | + | 27.1276i | −0.481470 | + | 0.517868i | ||||
\(15\) | −47.6391 | − | 27.0724i | −0.820025 | − | 0.466005i | ||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | −46.3453 | + | 80.2724i | −0.661199 | + | 1.14523i | 0.319102 | + | 0.947720i | \(0.396619\pi\) |
−0.980301 | + | 0.197510i | \(0.936715\pi\) | |||||||
\(18\) | 0.737419 | + | 53.9950i | 0.00965618 | + | 0.707041i | ||||
\(19\) | −118.901 | + | 68.6474i | −1.43567 | + | 0.828884i | −0.997545 | − | 0.0700296i | \(-0.977691\pi\) |
−0.438125 | + | 0.898914i | \(0.644357\pi\) | |||||||
\(20\) | −42.1806 | −0.471593 | ||||||||
\(21\) | 65.0431 | − | 70.9253i | 0.675884 | − | 0.737008i | ||||
\(22\) | −61.6421 | −0.597370 | ||||||||
\(23\) | 37.6697 | − | 21.7486i | 0.341508 | − | 0.197170i | −0.319431 | − | 0.947610i | \(-0.603492\pi\) |
0.660939 | + | 0.750440i | \(0.270158\pi\) | |||||||
\(24\) | 21.0299 | + | 35.8572i | 0.178863 | + | 0.304972i | ||||
\(25\) | 6.89995 | − | 11.9511i | 0.0551996 | − | 0.0956085i | ||||
\(26\) | 19.8400 | + | 34.3640i | 0.149652 | + | 0.259205i | ||||
\(27\) | −2.87369 | − | 140.267i | −0.0204831 | − | 0.999790i | ||||
\(28\) | 16.5563 | − | 72.2073i | 0.111745 | − | 0.487353i | ||||
\(29\) | 134.318i | 0.860079i | 0.902810 | + | 0.430039i | \(0.141500\pi\) | ||||
−0.902810 | + | 0.430039i | \(0.858500\pi\) | |||||||
\(30\) | 109.586 | − | 0.748281i | 0.666918 | − | 0.00455389i | ||||
\(31\) | 144.963 | + | 83.6945i | 0.839876 | + | 0.484903i | 0.857222 | − | 0.514947i | \(-0.172188\pi\) |
−0.0173460 | + | 0.999850i | \(0.505522\pi\) | |||||||
\(32\) | 27.7128 | + | 16.0000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 160.147 | − | 1.09353i | 0.844790 | − | 0.00576845i | ||||
\(34\) | − | 185.381i | − | 0.935076i | ||||||
\(35\) | −143.032 | − | 132.979i | −0.690767 | − | 0.642216i | ||||
\(36\) | −55.2722 | − | 92.7846i | −0.255890 | − | 0.429558i | ||||
\(37\) | 191.747 | + | 332.115i | 0.851972 | + | 1.47566i | 0.879426 | + | 0.476036i | \(0.157927\pi\) |
−0.0274532 | + | 0.999623i | \(0.508740\pi\) | |||||||
\(38\) | 137.295 | − | 237.802i | 0.586110 | − | 1.01517i | ||||
\(39\) | −52.1544 | − | 88.9262i | −0.214138 | − | 0.365117i | ||||
\(40\) | 73.0589 | − | 42.1806i | 0.288791 | − | 0.166733i | ||||
\(41\) | −107.887 | −0.410954 | −0.205477 | − | 0.978662i | \(-0.565875\pi\) | ||||
−0.205477 | + | 0.978662i | \(0.565875\pi\) | |||||||
\(42\) | −41.7327 | + | 187.889i | −0.153321 | + | 0.690284i | ||||
\(43\) | −285.480 | −1.01245 | −0.506225 | − | 0.862402i | \(-0.668959\pi\) | ||||
−0.506225 | + | 0.862402i | \(0.668959\pi\) | |||||||
\(44\) | 106.767 | − | 61.6421i | 0.365813 | − | 0.211202i | ||||
\(45\) | −284.692 | + | 3.88809i | −0.943099 | + | 0.0128801i | ||||
\(46\) | −43.4973 | + | 75.3395i | −0.139420 | + | 0.241483i | ||||
\(47\) | −120.906 | − | 209.416i | −0.375234 | − | 0.649924i | 0.615128 | − | 0.788427i | \(-0.289104\pi\) |
−0.990362 | + | 0.138503i | \(0.955771\pi\) | |||||||
\(48\) | −72.2822 | − | 41.0766i | −0.217355 | − | 0.123519i | ||||
\(49\) | 283.783 | − | 192.655i | 0.827357 | − | 0.561677i | ||||
\(50\) | 27.5998i | 0.0780640i | ||||||||
\(51\) | 3.28865 | + | 481.623i | 0.00902947 | + | 1.32237i | ||||
\(52\) | −68.7279 | − | 39.6801i | −0.183286 | − | 0.105820i | ||||
\(53\) | 432.694 | + | 249.816i | 1.12142 | + | 0.647451i | 0.941762 | − | 0.336279i | \(-0.109169\pi\) |
0.179655 | + | 0.983730i | \(0.442502\pi\) | |||||||
\(54\) | 145.244 | + | 240.075i | 0.366022 | + | 0.605002i | ||||
\(55\) | − | 325.013i | − | 0.796813i | ||||||
\(56\) | 43.5308 | + | 141.623i | 0.103876 | + | 0.337949i | ||||
\(57\) | −352.476 | + | 620.248i | −0.819062 | + | 1.44130i | ||||
\(58\) | −134.318 | − | 232.646i | −0.304084 | − | 0.526689i | ||||
\(59\) | 366.212 | − | 634.299i | 0.808081 | − | 1.39964i | −0.106110 | − | 0.994354i | \(-0.533839\pi\) |
0.914191 | − | 0.405284i | \(-0.132827\pi\) | |||||||
\(60\) | −189.060 | + | 110.882i | −0.406792 | + | 0.238580i | ||||
\(61\) | −265.207 | + | 153.117i | −0.556661 | + | 0.321388i | −0.751804 | − | 0.659387i | \(-0.770816\pi\) |
0.195143 | + | 0.980775i | \(0.437483\pi\) | |||||||
\(62\) | −334.778 | −0.685756 | ||||||||
\(63\) | 105.089 | − | 488.880i | 0.210158 | − | 0.977667i | ||||
\(64\) | −64.0000 | −0.125000 | ||||||||
\(65\) | −181.187 | + | 104.608i | −0.345745 | + | 0.199616i | ||||
\(66\) | −276.290 | + | 162.041i | −0.515286 | + | 0.302211i | ||||
\(67\) | −280.049 | + | 485.060i | −0.510649 | + | 0.884470i | 0.489275 | + | 0.872130i | \(0.337261\pi\) |
−0.999924 | + | 0.0123404i | \(0.996072\pi\) | |||||||
\(68\) | 185.381 | + | 321.089i | 0.330599 | + | 0.572615i | ||||
\(69\) | 111.670 | − | 196.505i | 0.194833 | − | 0.342846i | ||||
\(70\) | 380.718 | + | 87.2945i | 0.650064 | + | 0.149053i | ||||
\(71\) | − | 74.2161i | − | 0.124054i | −0.998074 | − | 0.0620270i | \(-0.980244\pi\) | ||
0.998074 | − | 0.0620270i | \(-0.0197565\pi\) | |||||||
\(72\) | 188.519 | + | 105.435i | 0.308572 | + | 0.172579i | ||||
\(73\) | 141.409 | + | 81.6426i | 0.226722 | + | 0.130898i | 0.609059 | − | 0.793125i | \(-0.291547\pi\) |
−0.382337 | + | 0.924023i | \(0.624881\pi\) | |||||||
\(74\) | −664.230 | − | 383.494i | −1.04345 | − | 0.602435i | ||||
\(75\) | −0.489619 | − | 71.7047i | −0.000753818 | − | 0.110397i | ||||
\(76\) | 549.180i | 0.828884i | ||||||||
\(77\) | 556.376 | + | 127.571i | 0.823441 | + | 0.188806i | ||||
\(78\) | 179.260 | + | 101.870i | 0.260221 | + | 0.147879i | ||||
\(79\) | −437.160 | − | 757.183i | −0.622586 | − | 1.07835i | −0.989002 | − | 0.147900i | \(-0.952749\pi\) |
0.366416 | − | 0.930451i | \(-0.380585\pi\) | |||||||
\(80\) | −84.3612 | + | 146.118i | −0.117898 | + | 0.204206i | ||||
\(81\) | −381.605 | − | 621.143i | −0.523464 | − | 0.852048i | ||||
\(82\) | 186.866 | − | 107.887i | 0.251657 | − | 0.145294i | ||||
\(83\) | −406.600 | −0.537712 | −0.268856 | − | 0.963180i | \(-0.586646\pi\) | ||||
−0.268856 | + | 0.963180i | \(0.586646\pi\) | |||||||
\(84\) | −115.606 | − | 367.166i | −0.150163 | − | 0.476918i | ||||
\(85\) | 977.435 | 1.24727 | ||||||||
\(86\) | 494.466 | − | 285.480i | 0.619996 | − | 0.357955i | ||||
\(87\) | 353.088 | + | 602.036i | 0.435115 | + | 0.741896i | ||||
\(88\) | −123.284 | + | 213.535i | −0.149343 | + | 0.258669i | ||||
\(89\) | −526.091 | − | 911.216i | −0.626579 | − | 1.08527i | −0.988233 | − | 0.152954i | \(-0.951121\pi\) |
0.361655 | − | 0.932312i | \(-0.382212\pi\) | |||||||
\(90\) | 489.214 | − | 291.427i | 0.572974 | − | 0.341323i | ||||
\(91\) | −107.957 | − | 351.226i | −0.124362 | − | 0.404598i | ||||
\(92\) | − | 173.989i | − | 0.197170i | ||||||
\(93\) | 869.759 | − | 5.93895i | 0.969783 | − | 0.00662194i | ||||
\(94\) | 418.832 | + | 241.813i | 0.459566 | + | 0.265330i | ||||
\(95\) | 1253.83 | + | 723.897i | 1.35410 | + | 0.781793i | ||||
\(96\) | 166.273 | − | 1.13536i | 0.176773 | − | 0.00120705i | ||||
\(97\) | 243.235i | 0.254606i | 0.991864 | + | 0.127303i | \(0.0406320\pi\) | ||||
−0.991864 | + | 0.127303i | \(0.959368\pi\) | |||||||
\(98\) | −298.872 | + | 617.472i | −0.308068 | + | 0.636470i | ||||
\(99\) | 714.930 | − | 425.887i | 0.725790 | − | 0.432356i | ||||
\(100\) | −27.5998 | − | 47.8043i | −0.0275998 | − | 0.0478043i | ||||
\(101\) | −106.008 | + | 183.612i | −0.104438 | + | 0.180892i | −0.913508 | − | 0.406820i | \(-0.866638\pi\) |
0.809070 | + | 0.587712i | \(0.199971\pi\) | |||||||
\(102\) | −487.319 | − | 830.907i | −0.473057 | − | 0.806589i | ||||
\(103\) | −742.977 | + | 428.958i | −0.710754 | + | 0.410354i | −0.811340 | − | 0.584574i | \(-0.801262\pi\) |
0.100586 | + | 0.994928i | \(0.467928\pi\) | |||||||
\(104\) | 158.720 | 0.149652 | ||||||||
\(105\) | −990.660 | − | 220.039i | −0.920748 | − | 0.204510i | ||||
\(106\) | −999.264 | −0.915633 | ||||||||
\(107\) | −1860.36 | + | 1074.08i | −1.68082 | + | 0.970424i | −0.719708 | + | 0.694276i | \(0.755725\pi\) |
−0.961115 | + | 0.276148i | \(0.910942\pi\) | |||||||
\(108\) | −491.645 | − | 270.579i | −0.438043 | − | 0.241078i | ||||
\(109\) | 621.510 | − | 1076.49i | 0.546145 | − | 0.945952i | −0.452388 | − | 0.891821i | \(-0.649428\pi\) |
0.998534 | − | 0.0541307i | \(-0.0172388\pi\) | |||||||
\(110\) | 325.013 | + | 562.938i | 0.281716 | + | 0.487946i | ||||
\(111\) | 1732.48 | + | 984.539i | 1.48144 | + | 0.841877i | ||||
\(112\) | −217.021 | − | 201.767i | −0.183094 | − | 0.170225i | ||||
\(113\) | − | 193.701i | − | 0.161256i | −0.996744 | − | 0.0806278i | \(-0.974307\pi\) | ||
0.996744 | − | 0.0806278i | \(-0.0256925\pi\) | |||||||
\(114\) | −9.74242 | − | 1426.78i | −0.00800404 | − | 1.17219i | ||||
\(115\) | −397.233 | − | 229.342i | −0.322106 | − | 0.185968i | ||||
\(116\) | 465.292 | + | 268.637i | 0.372425 | + | 0.215020i | ||||
\(117\) | −467.528 | − | 261.480i | −0.369427 | − | 0.206614i | ||||
\(118\) | 1464.85i | 1.14280i | ||||||||
\(119\) | −383.654 | + | 1673.23i | −0.295542 | + | 1.28895i | ||||
\(120\) | 216.580 | − | 381.113i | 0.164758 | − | 0.289922i | ||||
\(121\) | −190.531 | − | 330.009i | −0.143149 | − | 0.247941i | ||||
\(122\) | 306.235 | − | 530.414i | 0.227256 | − | 0.393618i | ||||
\(123\) | −483.566 | + | 283.607i | −0.354485 | + | 0.207902i | ||||
\(124\) | 579.853 | − | 334.778i | 0.419938 | − | 0.242451i | ||||
\(125\) | −1463.67 | −1.04731 | ||||||||
\(126\) | 306.860 | + | 951.853i | 0.216963 | + | 0.672999i | ||||
\(127\) | 1010.51 | 0.706052 | 0.353026 | − | 0.935614i | \(-0.385153\pi\) | ||||
0.353026 | + | 0.935614i | \(0.385153\pi\) | |||||||
\(128\) | 110.851 | − | 64.0000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −1279.57 | + | 750.454i | −0.873330 | + | 0.512200i | ||||
\(130\) | 209.216 | − | 362.373i | 0.141150 | − | 0.244479i | ||||
\(131\) | 179.314 | + | 310.581i | 0.119593 | + | 0.207142i | 0.919607 | − | 0.392841i | \(-0.128508\pi\) |
−0.800013 | + | 0.599982i | \(0.795174\pi\) | |||||||
\(132\) | 316.506 | − | 556.953i | 0.208700 | − | 0.367247i | ||||
\(133\) | −1731.35 | + | 1862.24i | −1.12878 | + | 1.21411i | ||||
\(134\) | − | 1120.20i | − | 0.722167i | ||||||
\(135\) | −1265.81 | + | 765.810i | −0.806992 | + | 0.488225i | ||||
\(136\) | −642.179 | − | 370.762i | −0.404900 | − | 0.233769i | ||||
\(137\) | 1194.04 | + | 689.378i | 0.744625 | + | 0.429909i | 0.823748 | − | 0.566956i | \(-0.191879\pi\) |
−0.0791238 | + | 0.996865i | \(0.525212\pi\) | |||||||
\(138\) | 3.08656 | + | 452.026i | 0.00190395 | + | 0.278834i | ||||
\(139\) | − | 474.488i | − | 0.289536i | −0.989466 | − | 0.144768i | \(-0.953756\pi\) | ||
0.989466 | − | 0.144768i | \(-0.0462436\pi\) | |||||||
\(140\) | −746.717 | + | 229.519i | −0.450780 | + | 0.138557i | ||||
\(141\) | −1092.42 | − | 620.803i | −0.652471 | − | 0.370787i | ||||
\(142\) | 74.2161 | + | 128.546i | 0.0438597 | + | 0.0759672i | ||||
\(143\) | 305.746 | − | 529.567i | 0.178795 | − | 0.309683i | ||||
\(144\) | −431.960 | + | 5.89935i | −0.249977 | + | 0.00341397i | ||||
\(145\) | 1226.64 | − | 708.203i | 0.702533 | − | 0.405607i | ||||
\(146\) | −326.570 | −0.185117 | ||||||||
\(147\) | 765.520 | − | 1609.50i | 0.429517 | − | 0.903059i | ||||
\(148\) | 1533.97 | 0.851972 | ||||||||
\(149\) | 519.125 | − | 299.717i | 0.285426 | − | 0.164791i | −0.350451 | − | 0.936581i | \(-0.613972\pi\) |
0.635877 | + | 0.771790i | \(0.280639\pi\) | |||||||
\(150\) | 72.5528 | + | 123.707i | 0.0394927 | + | 0.0673374i | ||||
\(151\) | 997.588 | − | 1727.87i | 0.537633 | − | 0.931208i | −0.461398 | − | 0.887193i | \(-0.652652\pi\) |
0.999031 | − | 0.0440145i | \(-0.0140148\pi\) | |||||||
\(152\) | −549.180 | − | 951.207i | −0.293055 | − | 0.507586i | ||||
\(153\) | 1280.80 | + | 2150.06i | 0.676776 | + | 1.13609i | ||||
\(154\) | −1091.24 | + | 335.417i | −0.571006 | + | 0.175511i | ||||
\(155\) | − | 1765.14i | − | 0.914707i | ||||||
\(156\) | −412.358 | + | 2.81569i | −0.211635 | + | 0.00144510i | ||||
\(157\) | −765.966 | − | 442.231i | −0.389368 | − | 0.224802i | 0.292518 | − | 0.956260i | \(-0.405507\pi\) |
−0.681886 | + | 0.731458i | \(0.738840\pi\) | |||||||
\(158\) | 1514.37 | + | 874.320i | 0.762510 | + | 0.440235i | ||||
\(159\) | 2596.10 | − | 17.7269i | 1.29487 | − | 0.00884173i | ||||
\(160\) | − | 337.445i | − | 0.166733i | ||||||
\(161\) | 548.520 | − | 589.988i | 0.268506 | − | 0.288805i | ||||
\(162\) | 1282.10 | + | 694.246i | 0.621799 | + | 0.336698i | ||||
\(163\) | 338.492 | + | 586.286i | 0.162655 | + | 0.281727i | 0.935820 | − | 0.352478i | \(-0.114661\pi\) |
−0.773165 | + | 0.634205i | \(0.781328\pi\) | |||||||
\(164\) | −215.774 | + | 373.731i | −0.102739 | + | 0.177948i | ||||
\(165\) | −854.374 | − | 1456.76i | −0.403109 | − | 0.687324i | ||||
\(166\) | 704.251 | − | 406.600i | 0.329280 | − | 0.190110i | ||||
\(167\) | 3718.74 | 1.72314 | 0.861571 | − | 0.507637i | \(-0.169481\pi\) | ||||
0.861571 | + | 0.507637i | \(0.169481\pi\) | |||||||
\(168\) | 567.402 | + | 520.345i | 0.260572 | + | 0.238961i | ||||
\(169\) | 1803.37 | 0.820834 | ||||||||
\(170\) | −1692.97 | + | 977.435i | −0.763792 | + | 0.440976i | ||||
\(171\) | 50.6219 | + | 3706.62i | 0.0226383 | + | 1.65761i | ||||
\(172\) | −570.961 | + | 988.933i | −0.253112 | + | 0.438404i | ||||
\(173\) | −1318.97 | − | 2284.52i | −0.579650 | − | 1.00398i | −0.995519 | − | 0.0945591i | \(-0.969856\pi\) |
0.415869 | − | 0.909425i | \(-0.363477\pi\) | |||||||
\(174\) | −1213.60 | − | 689.668i | −0.528753 | − | 0.300480i | ||||
\(175\) | 57.1190 | − | 249.113i | 0.0246731 | − | 0.107607i | ||||
\(176\) | − | 493.137i | − | 0.211202i | ||||||
\(177\) | −25.9864 | − | 3805.70i | −0.0110353 | − | 1.61613i | ||||
\(178\) | 1822.43 | + | 1052.18i | 0.767399 | + | 0.443058i | ||||
\(179\) | −2861.56 | − | 1652.12i | −1.19488 | − | 0.689862i | −0.235468 | − | 0.971882i | \(-0.575662\pi\) |
−0.959409 | + | 0.282020i | \(0.908996\pi\) | |||||||
\(180\) | −555.916 | + | 993.980i | −0.230197 | + | 0.411594i | ||||
\(181\) | 417.941i | 0.171631i | 0.996311 | + | 0.0858157i | \(0.0273496\pi\) | ||||
−0.996311 | + | 0.0858157i | \(0.972650\pi\) | |||||||
\(182\) | 538.212 | + | 500.384i | 0.219203 | + | 0.203796i | ||||
\(183\) | −786.193 | + | 1383.46i | −0.317580 | + | 0.558842i | ||||
\(184\) | 173.989 | + | 301.358i | 0.0697100 | + | 0.120741i | ||||
\(185\) | 2022.00 | − | 3502.20i | 0.803569 | − | 1.39182i | ||||
\(186\) | −1500.53 | + | 880.045i | −0.591527 | + | 0.346925i | ||||
\(187\) | −2474.08 | + | 1428.41i | −0.967501 | + | 0.558587i | ||||
\(188\) | −967.250 | −0.375234 | ||||||||
\(189\) | −814.113 | − | 2467.49i | −0.313323 | − | 0.949647i | ||||
\(190\) | −2895.59 | −1.10562 | ||||||||
\(191\) | 920.494 | − | 531.447i | 0.348715 | − | 0.201331i | −0.315404 | − | 0.948957i | \(-0.602140\pi\) |
0.664119 | + | 0.747627i | \(0.268807\pi\) | |||||||
\(192\) | −286.858 | + | 168.239i | −0.107824 | + | 0.0632377i | ||||
\(193\) | −1945.03 | + | 3368.89i | −0.725420 | + | 1.25646i | 0.233380 | + | 0.972386i | \(0.425021\pi\) |
−0.958801 | + | 0.284079i | \(0.908312\pi\) | |||||||
\(194\) | −243.235 | − | 421.295i | −0.0900167 | − | 0.155914i | ||||
\(195\) | −537.118 | + | 945.162i | −0.197250 | + | 0.347100i | ||||
\(196\) | −99.8105 | − | 1368.36i | −0.0363741 | − | 0.498675i | ||||
\(197\) | 3227.57i | 1.16728i | 0.812011 | + | 0.583642i | \(0.198373\pi\) | ||||
−0.812011 | + | 0.583642i | \(0.801627\pi\) | |||||||
\(198\) | −812.408 | + | 1452.59i | −0.291593 | + | 0.521368i | ||||
\(199\) | −2398.78 | − | 1384.94i | −0.854497 | − | 0.493344i | 0.00766855 | − | 0.999971i | \(-0.497559\pi\) |
−0.862166 | + | 0.506626i | \(0.830892\pi\) | |||||||
\(200\) | 95.6085 | + | 55.1996i | 0.0338027 | + | 0.0195160i | ||||
\(201\) | 19.8722 | + | 2910.29i | 0.00697353 | + | 1.02127i | ||||
\(202\) | − | 424.034i | − | 0.147698i | ||||||
\(203\) | 730.874 | + | 2377.82i | 0.252696 | + | 0.822119i | ||||
\(204\) | 1674.97 | + | 951.854i | 0.574859 | + | 0.326682i | ||||
\(205\) | 568.842 | + | 985.263i | 0.193803 | + | 0.335677i | ||||
\(206\) | 857.916 | − | 1485.95i | 0.290164 | − | 0.502579i | ||||
\(207\) | −16.0378 | − | 1174.32i | −0.00538506 | − | 0.394303i | ||||
\(208\) | −274.912 | + | 158.720i | −0.0916428 | + | 0.0529100i | ||||
\(209\) | −4231.58 | −1.40050 | ||||||||
\(210\) | 1935.91 | − | 609.542i | 0.636146 | − | 0.200297i | ||||
\(211\) | −1978.76 | −0.645610 | −0.322805 | − | 0.946465i | \(-0.604626\pi\) | ||||
−0.322805 | + | 0.946465i | \(0.604626\pi\) | |||||||
\(212\) | 1730.78 | − | 999.264i | 0.560709 | − | 0.323725i | ||||
\(213\) | −195.095 | − | 332.648i | −0.0627591 | − | 0.107008i | ||||
\(214\) | 2148.16 | − | 3720.73i | 0.686193 | − | 1.18852i | ||||
\(215\) | 1505.22 | + | 2607.11i | 0.477464 | + | 0.826993i | ||||
\(216\) | 1122.13 | − | 22.9895i | 0.353479 | − | 0.00724185i | ||||
\(217\) | 3021.68 | + | 692.838i | 0.945275 | + | 0.216741i | ||||
\(218\) | 2486.04i | 0.772366i | ||||||||
\(219\) | 848.435 | − | 5.79334i | 0.261790 | − | 0.00178757i | ||||
\(220\) | −1125.88 | − | 650.025i | −0.345030 | − | 0.199203i | ||||
\(221\) | 1592.61 | + | 919.492i | 0.484753 | + | 0.279872i | ||||
\(222\) | −3985.29 | + | 27.2126i | −1.20484 | + | 0.00822699i | ||||
\(223\) | − | 2434.70i | − | 0.731120i | −0.930788 | − | 0.365560i | \(-0.880878\pi\) | ||
0.930788 | − | 0.365560i | \(-0.119122\pi\) | |||||||
\(224\) | 577.658 | + | 132.451i | 0.172305 | + | 0.0395077i | ||||
\(225\) | −190.688 | − | 320.105i | −0.0565001 | − | 0.0948458i | ||||
\(226\) | 193.701 | + | 335.500i | 0.0570125 | + | 0.0987485i | ||||
\(227\) | −165.862 | + | 287.281i | −0.0484961 | + | 0.0839977i | −0.889254 | − | 0.457413i | \(-0.848776\pi\) |
0.840758 | + | 0.541411i | \(0.182110\pi\) | |||||||
\(228\) | 1443.65 | + | 2461.51i | 0.419334 | + | 0.714988i | ||||
\(229\) | 1842.29 | − | 1063.65i | 0.531624 | − | 0.306933i | −0.210054 | − | 0.977690i | \(-0.567364\pi\) |
0.741677 | + | 0.670757i | \(0.234031\pi\) | |||||||
\(230\) | 917.370 | 0.262998 | ||||||||
\(231\) | 2829.12 | − | 890.776i | 0.805810 | − | 0.253718i | ||||
\(232\) | −1074.55 | −0.304084 | ||||||||
\(233\) | 809.394 | − | 467.304i | 0.227576 | − | 0.131391i | −0.381877 | − | 0.924213i | \(-0.624722\pi\) |
0.609453 | + | 0.792822i | \(0.291389\pi\) | |||||||
\(234\) | 1071.26 | − | 14.6304i | 0.299276 | − | 0.00408727i | ||||
\(235\) | −1274.97 | + | 2208.32i | −0.353915 | + | 0.613000i | ||||
\(236\) | −1464.85 | − | 2537.19i | −0.404041 | − | 0.699819i | ||||
\(237\) | −3949.86 | − | 2244.63i | −1.08258 | − | 0.615209i | ||||
\(238\) | −1008.72 | − | 3281.78i | −0.274731 | − | 0.893807i | ||||
\(239\) | − | 1923.73i | − | 0.520651i | −0.965521 | − | 0.260325i | \(-0.916170\pi\) | ||
0.965521 | − | 0.260325i | \(-0.0838298\pi\) | |||||||
\(240\) | 5.98625 | + | 876.687i | 0.00161004 | + | 0.235791i | ||||
\(241\) | 2846.13 | + | 1643.22i | 0.760729 | + | 0.439207i | 0.829557 | − | 0.558422i | \(-0.188593\pi\) |
−0.0688286 | + | 0.997629i | \(0.521926\pi\) | |||||||
\(242\) | 660.018 | + | 381.062i | 0.175321 | + | 0.101221i | ||||
\(243\) | −3343.24 | − | 1780.92i | −0.882588 | − | 0.470148i | ||||
\(244\) | 1224.94i | 0.321388i | ||||||||
\(245\) | −3255.67 | − | 1575.82i | −0.848967 | − | 0.410921i | ||||
\(246\) | 553.954 | − | 974.788i | 0.143572 | − | 0.252643i | ||||
\(247\) | 1361.97 | + | 2359.00i | 0.350850 | + | 0.607690i | ||||
\(248\) | −669.556 | + | 1159.71i | −0.171439 | + | 0.296941i | ||||
\(249\) | −1822.44 | + | 1068.85i | −0.463826 | + | 0.272029i | ||||
\(250\) | 2535.14 | − | 1463.67i | 0.641346 | − | 0.370281i | ||||
\(251\) | −4303.94 | −1.08232 | −0.541160 | − | 0.840919i | \(-0.682015\pi\) | ||||
−0.541160 | + | 0.840919i | \(0.682015\pi\) | |||||||
\(252\) | −1483.35 | − | 1341.80i | −0.370803 | − | 0.335418i | ||||
\(253\) | 1340.63 | 0.333142 | ||||||||
\(254\) | −1750.26 | + | 1010.51i | −0.432366 | + | 0.249627i | ||||
\(255\) | 4381.02 | − | 2569.43i | 1.07588 | − | 0.630995i | ||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2345.95 | + | 4063.31i | 0.569403 | + | 0.986235i | 0.996625 | + | 0.0820884i | \(0.0261590\pi\) |
−0.427222 | + | 0.904147i | \(0.640508\pi\) | |||||||
\(258\) | 1465.82 | − | 2579.39i | 0.353713 | − | 0.622426i | ||||
\(259\) | 5201.63 | + | 4836.03i | 1.24793 | + | 1.16022i | ||||
\(260\) | 836.865i | 0.199616i | ||||||||
\(261\) | 3165.19 | + | 1770.24i | 0.750653 | + | 0.419828i | ||||
\(262\) | −621.162 | − | 358.628i | −0.146471 | − | 0.0845653i | ||||
\(263\) | −911.918 | − | 526.496i | −0.213807 | − | 0.123442i | 0.389272 | − | 0.921123i | \(-0.372726\pi\) |
−0.603079 | + | 0.797681i | \(0.706060\pi\) | |||||||
\(264\) | 8.74822 | + | 1281.18i | 0.00203945 | + | 0.298678i | ||||
\(265\) | − | 5268.69i | − | 1.22133i | ||||||
\(266\) | 1136.55 | − | 4956.84i | 0.261979 | − | 1.14257i | ||||
\(267\) | −4753.37 | − | 2701.25i | −1.08952 | − | 0.619154i | ||||
\(268\) | 1120.20 | + | 1940.24i | 0.255325 | + | 0.442235i | ||||
\(269\) | −1327.49 | + | 2299.28i | −0.300887 | + | 0.521151i | −0.976337 | − | 0.216255i | \(-0.930616\pi\) |
0.675450 | + | 0.737405i | \(0.263949\pi\) | |||||||
\(270\) | 1426.65 | − | 2592.24i | 0.321566 | − | 0.584291i | ||||
\(271\) | 2347.45 | − | 1355.30i | 0.526189 | − | 0.303795i | −0.213274 | − | 0.976992i | \(-0.568413\pi\) |
0.739463 | + | 0.673197i | \(0.235079\pi\) | |||||||
\(272\) | 1483.05 | 0.330599 | ||||||||
\(273\) | −1407.16 | − | 1290.46i | −0.311961 | − | 0.286088i | ||||
\(274\) | −2757.51 | −0.607983 | ||||||||
\(275\) | 368.345 | − | 212.664i | 0.0807710 | − | 0.0466331i | ||||
\(276\) | −457.372 | − | 779.846i | −0.0997485 | − | 0.170077i | ||||
\(277\) | −960.218 | + | 1663.15i | −0.208281 | + | 0.360754i | −0.951173 | − | 0.308658i | \(-0.900120\pi\) |
0.742892 | + | 0.669411i | \(0.233454\pi\) | |||||||
\(278\) | 474.488 | + | 821.837i | 0.102367 | + | 0.177304i | ||||
\(279\) | 3882.78 | − | 2312.99i | 0.833176 | − | 0.496327i | ||||
\(280\) | 1063.83 | − | 1144.26i | 0.227058 | − | 0.244223i | ||||
\(281\) | 5730.99i | 1.21666i | 0.793683 | + | 0.608331i | \(0.208161\pi\) | ||||
−0.793683 | + | 0.608331i | \(0.791839\pi\) | |||||||
\(282\) | 2512.93 | − | 17.1590i | 0.530648 | − | 0.00362341i | ||||
\(283\) | −1588.75 | − | 917.265i | −0.333715 | − | 0.192670i | 0.323774 | − | 0.946134i | \(-0.395048\pi\) |
−0.657489 | + | 0.753464i | \(0.728381\pi\) | |||||||
\(284\) | −257.092 | − | 148.432i | −0.0537169 | − | 0.0310135i | ||||
\(285\) | 7522.79 | − | 51.3676i | 1.56355 | − | 0.0106763i | ||||
\(286\) | 1222.98i | 0.252855i | ||||||||
\(287\) | −1909.91 | + | 587.051i | −0.392817 | + | 0.120741i | ||||
\(288\) | 742.277 | − | 442.178i | 0.151872 | − | 0.0904707i | ||||
\(289\) | −1839.27 | − | 3185.71i | −0.374368 | − | 0.648424i | ||||
\(290\) | −1416.41 | + | 2453.29i | −0.286808 | + | 0.496766i | ||||
\(291\) | 639.402 | + | 1090.22i | 0.128805 | + | 0.219621i | ||||
\(292\) | 565.636 | − | 326.570i | 0.113361 | − | 0.0654489i | ||||
\(293\) | 1206.83 | 0.240627 | 0.120314 | − | 0.992736i | \(-0.461610\pi\) | ||||
0.120314 | + | 0.992736i | \(0.461610\pi\) | |||||||
\(294\) | 283.584 | + | 3553.26i | 0.0562550 | + | 0.704866i | ||||
\(295\) | −7723.53 | −1.52434 | ||||||||
\(296\) | −2656.92 | + | 1533.97i | −0.521724 | + | 0.301218i | ||||
\(297\) | 2084.88 | − | 3788.26i | 0.407330 | − | 0.740125i | ||||
\(298\) | −599.434 | + | 1038.25i | −0.116525 | + | 0.201826i | ||||
\(299\) | −431.494 | − | 747.369i | −0.0834580 | − | 0.144553i | ||||
\(300\) | −249.372 | − | 141.713i | −0.0479916 | − | 0.0272728i | ||||
\(301\) | −5053.82 | + | 1553.40i | −0.967765 | + | 0.297463i | ||||
\(302\) | 3990.35i | 0.760328i | ||||||||
\(303\) | 7.52234 | + | 1101.65i | 0.00142623 | + | 0.208871i | ||||
\(304\) | 1902.41 | + | 1098.36i | 0.358917 | + | 0.207221i | ||||
\(305\) | 2796.65 | + | 1614.65i | 0.525035 | + | 0.303129i | ||||
\(306\) | −4368.48 | − | 2443.22i | −0.816109 | − | 0.456436i | ||||
\(307\) | − | 5508.71i | − | 1.02410i | −0.858955 | − | 0.512050i | \(-0.828886\pi\) | ||
0.858955 | − | 0.512050i | \(-0.171114\pi\) | |||||||
\(308\) | 1554.67 | − | 1672.20i | 0.287616 | − | 0.309359i | ||||
\(309\) | −2202.52 | + | 3875.75i | −0.405491 | + | 0.713539i | ||||
\(310\) | 1765.14 | + | 3057.32i | 0.323398 | + | 0.560142i | ||||
\(311\) | −2114.51 | + | 3662.44i | −0.385540 | + | 0.667775i | −0.991844 | − | 0.127458i | \(-0.959318\pi\) |
0.606304 | + | 0.795233i | \(0.292652\pi\) | |||||||
\(312\) | 711.409 | − | 417.235i | 0.129089 | − | 0.0757092i | ||||
\(313\) | −4672.64 | + | 2697.75i | −0.843813 | + | 0.487176i | −0.858558 | − | 0.512716i | \(-0.828640\pi\) |
0.0147455 | + | 0.999891i | \(0.495306\pi\) | |||||||
\(314\) | 1768.92 | 0.317917 | ||||||||
\(315\) | −5018.72 | + | 1617.94i | −0.897691 | + | 0.289399i | ||||
\(316\) | −3497.28 | −0.622586 | ||||||||
\(317\) | 6169.57 | − | 3562.00i | 1.09312 | − | 0.631111i | 0.158711 | − | 0.987325i | \(-0.449266\pi\) |
0.934404 | + | 0.356214i | \(0.115933\pi\) | |||||||
\(318\) | −4478.86 | + | 2626.81i | −0.789817 | + | 0.463220i | ||||
\(319\) | −2069.92 | + | 3585.20i | −0.363301 | + | 0.629256i | ||||
\(320\) | 337.445 | + | 584.471i | 0.0589492 | + | 0.102103i | ||||
\(321\) | −5514.96 | + | 9704.62i | −0.958925 | + | 1.68741i | ||||
\(322\) | −360.078 | + | 1570.41i | −0.0623178 | + | 0.271787i | ||||
\(323\) | − | 12725.9i | − | 2.19223i | ||||||
\(324\) | −2914.91 | + | 79.6338i | −0.499814 | + | 0.0136546i | ||||
\(325\) | −237.110 | − | 136.895i | −0.0404692 | − | 0.0233649i | ||||
\(326\) | −1172.57 | − | 676.984i | −0.199211 | − | 0.115014i | ||||
\(327\) | −44.1022 | − | 6458.77i | −0.00745828 | − | 1.09227i | ||||
\(328\) | − | 863.096i | − | 0.145294i | ||||||
\(329\) | −3279.89 | − | 3049.37i | −0.549624 | − | 0.510994i | ||||
\(330\) | 2936.58 | + | 1668.80i | 0.489858 | + | 0.278377i | ||||
\(331\) | −886.224 | − | 1534.99i | −0.147164 | − | 0.254896i | 0.783014 | − | 0.622004i | \(-0.213681\pi\) |
−0.930178 | + | 0.367108i | \(0.880348\pi\) | |||||||
\(332\) | −813.199 | + | 1408.50i | −0.134428 | + | 0.232836i | ||||
\(333\) | 10353.4 | − | 141.398i | 1.70379 | − | 0.0232689i | ||||
\(334\) | −6441.05 | + | 3718.74i | −1.05520 | + | 0.609223i | ||||
\(335\) | 5906.32 | 0.963275 | ||||||||
\(336\) | −1503.11 | − | 333.861i | −0.244052 | − | 0.0542072i | ||||
\(337\) | 7800.94 | 1.26096 | 0.630481 | − | 0.776205i | \(-0.282858\pi\) | ||||
0.630481 | + | 0.776205i | \(0.282858\pi\) | |||||||
\(338\) | −3123.53 | + | 1803.37i | −0.502656 | + | 0.290209i | ||||
\(339\) | −509.191 | − | 868.199i | −0.0815795 | − | 0.139098i | ||||
\(340\) | 1954.87 | − | 3385.94i | 0.311817 | − | 0.540083i | ||||
\(341\) | 2579.56 | + | 4467.92i | 0.409650 | + | 0.709535i | ||||
\(342\) | −3794.30 | − | 6369.43i | −0.599918 | − | 1.00707i | ||||
\(343\) | 3975.47 | − | 4954.72i | 0.625818 | − | 0.779969i | ||||
\(344\) | − | 2283.84i | − | 0.357955i | ||||||
\(345\) | −2383.34 | + | 16.2741i | −0.371927 | + | 0.00253962i | ||||
\(346\) | 4569.05 | + | 2637.94i | 0.709924 | + | 0.409875i | ||||
\(347\) | −6209.38 | − | 3584.99i | −0.960625 | − | 0.554617i | −0.0642596 | − | 0.997933i | \(-0.520469\pi\) |
−0.896365 | + | 0.443316i | \(0.853802\pi\) | |||||||
\(348\) | 2791.69 | − | 19.0624i | 0.430029 | − | 0.00293636i | ||||
\(349\) | 5543.44i | 0.850240i | 0.905137 | + | 0.425120i | \(0.139768\pi\) | ||||
−0.905137 | + | 0.425120i | \(0.860232\pi\) | |||||||
\(350\) | 150.180 | + | 488.596i | 0.0229356 | + | 0.0746187i | ||||
\(351\) | −2782.90 | + | 57.0142i | −0.423191 | + | 0.00867006i | ||||
\(352\) | 493.137 | + | 854.138i | 0.0746713 | + | 0.129334i | ||||
\(353\) | 15.4669 | − | 26.7895i | 0.00233207 | − | 0.00403926i | −0.864857 | − | 0.502018i | \(-0.832591\pi\) |
0.867189 | + | 0.497979i | \(0.165924\pi\) | |||||||
\(354\) | 3850.71 | + | 6565.68i | 0.578144 | + | 0.985769i | ||||
\(355\) | −677.768 | + | 391.310i | −0.101330 | + | 0.0585030i | ||||
\(356\) | −4208.72 | −0.626579 | ||||||||
\(357\) | 2678.90 | + | 8508.21i | 0.397150 | + | 1.26135i | ||||
\(358\) | 6608.48 | 0.975612 | ||||||||
\(359\) | 5694.34 | − | 3287.63i | 0.837147 | − | 0.483327i | −0.0191462 | − | 0.999817i | \(-0.506095\pi\) |
0.856294 | + | 0.516489i | \(0.172761\pi\) | |||||||
\(360\) | −31.1047 | − | 2277.54i | −0.00455379 | − | 0.333436i | ||||
\(361\) | 5995.44 | − | 10384.4i | 0.874099 | − | 1.51398i | ||||
\(362\) | −417.941 | − | 723.895i | −0.0606809 | − | 0.105102i | ||||
\(363\) | −1721.50 | − | 978.296i | −0.248912 | − | 0.141452i | ||||
\(364\) | −1432.60 | − | 328.478i | −0.206287 | − | 0.0472993i | ||||
\(365\) | − | 1721.87i | − | 0.246922i | ||||||
\(366\) | −21.7304 | − | 3182.41i | −0.00310345 | − | 0.454501i | ||||
\(367\) | 2095.30 | + | 1209.72i | 0.298021 | + | 0.172062i | 0.641553 | − | 0.767078i | \(-0.278290\pi\) |
−0.343533 | + | 0.939141i | \(0.611624\pi\) | |||||||
\(368\) | −602.716 | − | 347.978i | −0.0853770 | − | 0.0492924i | ||||
\(369\) | −1421.89 | + | 2542.34i | −0.200598 | + | 0.358669i | ||||
\(370\) | 8087.99i | 1.13642i | ||||||||
\(371\) | 9019.27 | + | 2068.02i | 1.26215 | + | 0.289397i | ||||
\(372\) | 1718.94 | − | 3024.81i | 0.239578 | − | 0.421584i | ||||
\(373\) | −4895.66 | − | 8479.53i | −0.679591 | − | 1.17709i | −0.975104 | − | 0.221748i | \(-0.928824\pi\) |
0.295513 | − | 0.955339i | \(-0.404510\pi\) | |||||||
\(374\) | 2856.82 | − | 4948.16i | 0.394981 | − | 0.684126i | ||||
\(375\) | −6560.37 | + | 3847.60i | −0.903403 | + | 0.529838i | ||||
\(376\) | 1675.33 | − | 967.250i | 0.229783 | − | 0.132665i | ||||
\(377\) | 2664.88 | 0.364054 | ||||||||
\(378\) | 3877.57 | + | 3459.70i | 0.527621 | + | 0.470761i | ||||
\(379\) | 12660.9 | 1.71595 | 0.857977 | − | 0.513689i | \(-0.171721\pi\) | ||||
0.857977 | + | 0.513689i | \(0.171721\pi\) | |||||||
\(380\) | 5015.31 | − | 2895.59i | 0.677052 | − | 0.390896i | ||||
\(381\) | 4529.28 | − | 2656.38i | 0.609034 | − | 0.357193i | ||||
\(382\) | −1062.89 | + | 1840.99i | −0.142362 | + | 0.246579i | ||||
\(383\) | −4549.42 | − | 7879.82i | −0.606957 | − | 1.05128i | −0.991739 | − | 0.128272i | \(-0.959057\pi\) |
0.384782 | − | 0.923007i | \(-0.374276\pi\) | |||||||
\(384\) | 328.613 | − | 578.257i | 0.0436705 | − | 0.0768465i | ||||
\(385\) | −1768.51 | − | 5753.66i | −0.234108 | − | 0.761645i | ||||
\(386\) | − | 7780.11i | − | 1.02590i | ||||||
\(387\) | −3762.47 | + | 6727.30i | −0.494204 | + | 0.883638i | ||||
\(388\) | 842.590 | + | 486.470i | 0.110248 | + | 0.0636514i | ||||
\(389\) | −8450.00 | − | 4878.61i | −1.10137 | − | 0.635875i | −0.164787 | − | 0.986329i | \(-0.552694\pi\) |
−0.936580 | + | 0.350454i | \(0.886027\pi\) | |||||||
\(390\) | −14.8459 | − | 2174.19i | −0.00192757 | − | 0.282293i | ||||
\(391\) | 4031.78i | 0.521473i | ||||||||
\(392\) | 1541.24 | + | 2270.27i | 0.198583 | + | 0.292515i | ||||
\(393\) | 1620.15 | + | 920.701i | 0.207954 | + | 0.118176i | ||||
\(394\) | −3227.57 | − | 5590.32i | −0.412697 | − | 0.714813i | ||||
\(395\) | −4609.91 | + | 7984.61i | −0.587215 | + | 1.01709i | ||||
\(396\) | −45.4561 | − | 3328.36i | −0.00576831 | − | 0.422365i | ||||
\(397\) | −7069.17 | + | 4081.39i | −0.893681 | + | 0.515967i | −0.875145 | − | 0.483861i | \(-0.839234\pi\) |
−0.0185365 | + | 0.999828i | \(0.505901\pi\) | |||||||
\(398\) | 5539.74 | 0.697694 | ||||||||
\(399\) | −2864.84 | + | 12898.1i | −0.359452 | + | 1.61833i | ||||
\(400\) | −220.798 | −0.0275998 | ||||||||
\(401\) | −8885.22 | + | 5129.88i | −1.10650 | + | 0.638838i | −0.937921 | − | 0.346850i | \(-0.887251\pi\) |
−0.168579 | + | 0.985688i | \(0.553918\pi\) | |||||||
\(402\) | −2944.71 | − | 5020.90i | −0.365345 | − | 0.622935i | ||||
\(403\) | 1660.50 | − | 2876.08i | 0.205250 | − | 0.355503i | ||||
\(404\) | 424.034 | + | 734.448i | 0.0522190 | + | 0.0904459i | ||||
\(405\) | −3660.46 | + | 6759.98i | −0.449111 | + | 0.829398i | ||||
\(406\) | −3643.73 | − | 3387.63i | −0.445407 | − | 0.414102i | ||||
\(407\) | 11819.7i | 1.43951i | ||||||||
\(408\) | −3852.98 | + | 26.3092i | −0.467527 | + | 0.00319240i | ||||
\(409\) | −1795.47 | − | 1036.61i | −0.217067 | − | 0.125323i | 0.387525 | − | 0.921859i | \(-0.373330\pi\) |
−0.604591 | + | 0.796536i | \(0.706664\pi\) | |||||||
\(410\) | −1970.53 | − | 1137.68i | −0.237359 | − | 0.137040i | ||||
\(411\) | 7164.06 | − | 48.9181i | 0.859798 | − | 0.00587093i | ||||
\(412\) | 3431.66i | 0.410354i | ||||||||
\(413\) | 3031.57 | − | 13221.6i | 0.361196 | − | 1.57528i | ||||
\(414\) | 1202.09 | + | 2017.94i | 0.142705 | + | 0.239556i | ||||
\(415\) | 2143.83 | + | 3713.22i | 0.253581 | + | 0.439216i | ||||
\(416\) | 317.441 | − | 549.823i | 0.0374130 | − | 0.0648012i | ||||
\(417\) | −1247.31 | − | 2126.73i | −0.146477 | − | 0.249751i | ||||
\(418\) | 7329.30 | − | 4231.58i | 0.857627 | − | 0.495151i | ||||
\(419\) | 11576.2 | 1.34973 | 0.674863 | − | 0.737943i | \(-0.264203\pi\) | ||||
0.674863 | + | 0.737943i | \(0.264203\pi\) | |||||||
\(420\) | −2743.56 | + | 2991.67i | −0.318742 | + | 0.347568i | ||||
\(421\) | −1493.04 | −0.172842 | −0.0864208 | − | 0.996259i | \(-0.527543\pi\) | ||||
−0.0864208 | + | 0.996259i | \(0.527543\pi\) | |||||||
\(422\) | 3427.32 | − | 1978.76i | 0.395354 | − | 0.228258i | ||||
\(423\) | −6528.33 | + | 89.1585i | −0.750398 | + | 0.0102483i | ||||
\(424\) | −1998.53 | + | 3461.55i | −0.228908 | + | 0.396481i | ||||
\(425\) | 639.560 | + | 1107.75i | 0.0729958 | + | 0.126432i | ||||
\(426\) | 670.562 | + | 381.068i | 0.0762649 | + | 0.0433399i | ||||
\(427\) | −3861.76 | + | 4153.70i | −0.437667 | + | 0.470754i | ||||
\(428\) | 8592.65i | 0.970424i | ||||||||
\(429\) | −21.6956 | − | 3177.33i | −0.00244167 | − | 0.357582i | ||||
\(430\) | −5214.22 | − | 3010.43i | −0.584772 | − | 0.337618i | ||||
\(431\) | −3354.19 | − | 1936.54i | −0.374862 | − | 0.216427i | 0.300719 | − | 0.953713i | \(-0.402774\pi\) |
−0.675580 | + | 0.737286i | \(0.736107\pi\) | |||||||
\(432\) | −1920.60 | + | 1161.95i | −0.213901 | + | 0.129408i | ||||
\(433\) | 5450.01i | 0.604875i | 0.953169 | + | 0.302437i | \(0.0978003\pi\) | ||||
−0.953169 | + | 0.302437i | \(0.902200\pi\) | |||||||
\(434\) | −5926.53 | + | 1821.65i | −0.655490 | + | 0.201479i | ||||
\(435\) | 3636.32 | − | 6398.81i | 0.400801 | − | 0.705286i | ||||
\(436\) | −2486.04 | − | 4305.95i | −0.273073 | − | 0.472976i | ||||
\(437\) | −2985.98 | + | 5171.86i | −0.326862 | + | 0.566141i | ||||
\(438\) | −1463.74 | + | 858.469i | −0.159681 | + | 0.0936512i | ||||
\(439\) | −2350.20 | + | 1356.89i | −0.255510 | + | 0.147519i | −0.622284 | − | 0.782791i | \(-0.713795\pi\) |
0.366775 | + | 0.930310i | \(0.380462\pi\) | |||||||
\(440\) | 2600.10 | 0.281716 | ||||||||
\(441\) | −799.790 | − | 9226.40i | −0.0863611 | − | 0.996264i | ||||
\(442\) | −3677.97 | −0.395799 | ||||||||
\(443\) | −9583.65 | + | 5533.13i | −1.02784 | + | 0.593424i | −0.916365 | − | 0.400344i | \(-0.868891\pi\) |
−0.111475 | + | 0.993767i | \(0.535557\pi\) | |||||||
\(444\) | 6875.51 | − | 4032.42i | 0.734904 | − | 0.431014i | ||||
\(445\) | −5547.70 | + | 9608.90i | −0.590980 | + | 1.02361i | ||||
\(446\) | 2434.70 | + | 4217.03i | 0.258490 | + | 0.447718i | ||||
\(447\) | 1538.92 | − | 2708.03i | 0.162838 | − | 0.286544i | ||||
\(448\) | −1132.98 | + | 348.247i | −0.119483 | + | 0.0367257i | ||||
\(449\) | 3599.14i | 0.378294i | 0.981949 | + | 0.189147i | \(0.0605722\pi\) | ||||
−0.981949 | + | 0.189147i | \(0.939428\pi\) | |||||||
\(450\) | 650.386 | + | 363.750i | 0.0681322 | + | 0.0381052i | ||||
\(451\) | −2879.70 | − | 1662.60i | −0.300665 | − | 0.173589i | ||||
\(452\) | −671.001 | − | 387.402i | −0.0698257 | − | 0.0403139i | ||||
\(453\) | −70.7887 | − | 10367.0i | −0.00734203 | − | 1.07524i | ||||
\(454\) | − | 663.446i | − | 0.0685839i | ||||||
\(455\) | −2638.31 | + | 2837.76i | −0.271837 | + | 0.292388i | ||||
\(456\) | −4961.99 | − | 2819.81i | −0.509575 | − | 0.289582i | ||||
\(457\) | −4157.54 | − | 7201.08i | −0.425562 | − | 0.737094i | 0.570911 | − | 0.821012i | \(-0.306590\pi\) |
−0.996473 | + | 0.0839176i | \(0.973257\pi\) | |||||||
\(458\) | −2127.29 | + | 3684.58i | −0.217035 | + | 0.375915i | ||||
\(459\) | 11392.7 | + | 6270.02i | 1.15853 | + | 0.637602i | ||||
\(460\) | −1588.93 | + | 917.370i | −0.161053 | + | 0.0929839i | ||||
\(461\) | 5672.08 | 0.573048 | 0.286524 | − | 0.958073i | \(-0.407500\pi\) | ||||
0.286524 | + | 0.958073i | \(0.407500\pi\) | |||||||
\(462\) | −4009.40 | + | 4371.99i | −0.403753 | + | 0.440267i | ||||
\(463\) | 6332.06 | 0.635585 | 0.317792 | − | 0.948160i | \(-0.397058\pi\) | ||||
0.317792 | + | 0.948160i | \(0.397058\pi\) | |||||||
\(464\) | 1861.17 | − | 1074.55i | 0.186213 | − | 0.107510i | ||||
\(465\) | −4640.10 | − | 7911.64i | −0.462752 | − | 0.789018i | ||||
\(466\) | −934.608 | + | 1618.79i | −0.0929074 | + | 0.160920i | ||||
\(467\) | 6469.64 | + | 11205.7i | 0.641069 | + | 1.11036i | 0.985195 | + | 0.171440i | \(0.0548420\pi\) |
−0.344126 | + | 0.938924i | \(0.611825\pi\) | |||||||
\(468\) | −1840.85 | + | 1096.60i | −0.181823 | + | 0.108313i | ||||
\(469\) | −2318.30 | + | 10110.8i | −0.228249 | + | 0.995466i | ||||
\(470\) | − | 5099.90i | − | 0.500512i | ||||||
\(471\) | −4595.69 | + | 31.3806i | −0.449593 | + | 0.00306994i | ||||
\(472\) | 5074.39 | + | 2929.70i | 0.494847 | + | 0.285700i | ||||
\(473\) | −7619.99 | − | 4399.40i | −0.740735 | − | 0.427663i | ||||
\(474\) | 9085.99 | − | 62.0415i | 0.880450 | − | 0.00601195i | ||||
\(475\) | 1894.66i | 0.183016i | ||||||||
\(476\) | 5028.94 | + | 4675.48i | 0.484246 | + | 0.450211i | ||||
\(477\) | 11589.5 | − | 6903.94i | 1.11247 | − | 0.662704i | ||||
\(478\) | 1923.73 | + | 3331.99i | 0.184078 | + | 0.318832i | ||||
\(479\) | 1051.99 | − | 1822.10i | 0.100348 | − | 0.173808i | −0.811480 | − | 0.584380i | \(-0.801338\pi\) |
0.911828 | + | 0.410572i | \(0.134671\pi\) | |||||||
\(480\) | −887.055 | − | 1512.48i | −0.0843507 | − | 0.143823i | ||||
\(481\) | 6589.18 | − | 3804.26i | 0.624617 | − | 0.360623i | ||||
\(482\) | −6572.87 | −0.621132 | ||||||||
\(483\) | 907.628 | − | 4086.33i | 0.0855042 | − | 0.384958i | ||||
\(484\) | −1524.25 | −0.143149 | ||||||||
\(485\) | 2221.31 | − | 1282.47i | 0.207968 | − | 0.120070i | ||||
\(486\) | 7571.58 | − | 258.600i | 0.706695 | − | 0.0241365i | ||||
\(487\) | 6295.98 | − | 10905.0i | 0.585828 | − | 1.01468i | −0.408944 | − | 0.912559i | \(-0.634103\pi\) |
0.994772 | − | 0.102124i | \(-0.0325638\pi\) | |||||||
\(488\) | −1224.94 | − | 2121.66i | −0.113628 | − | 0.196809i | ||||
\(489\) | 3058.37 | + | 1738.01i | 0.282831 | + | 0.160727i | ||||
\(490\) | 7214.80 | − | 526.258i | 0.665166 | − | 0.0485182i | ||||
\(491\) | − | 1372.36i | − | 0.126138i | −0.998009 | − | 0.0630689i | \(-0.979911\pi\) | ||
0.998009 | − | 0.0630689i | \(-0.0200888\pi\) | |||||||
\(492\) | 15.3113 | + | 2242.34i | 0.00140302 | + | 0.205472i | ||||
\(493\) | −10782.0 | − | 6225.02i | −0.984988 | − | 0.568683i | ||||
\(494\) | −4718.00 | − | 2723.94i | −0.429702 | − | 0.248088i | ||||
\(495\) | −7658.88 | − | 4283.48i | −0.695436 | − | 0.388946i | ||||
\(496\) | − | 2678.23i | − | 0.242451i | ||||||
\(497\) | −403.836 | − | 1313.84i | −0.0364477 | − | 0.118579i | ||||
\(498\) | 2087.72 | − | 3673.74i | 0.187857 | − | 0.330570i | ||||
\(499\) | 4588.75 | + | 7947.95i | 0.411665 | + | 0.713025i | 0.995072 | − | 0.0991554i | \(-0.0316141\pi\) |
−0.583407 | + | 0.812180i | \(0.698281\pi\) | |||||||
\(500\) | −2927.33 | + | 5070.28i | −0.261828 | + | 0.453500i | ||||
\(501\) | 16668.0 | − | 9775.61i | 1.48637 | − | 0.871741i | ||||
\(502\) | 7454.65 | − | 4303.94i | 0.662783 | − | 0.382658i | ||||
\(503\) | 1025.01 | 0.0908605 | 0.0454302 | − | 0.998968i | \(-0.485534\pi\) | ||||
0.0454302 | + | 0.998968i | \(0.485534\pi\) | |||||||
\(504\) | 3911.04 | + | 840.712i | 0.345658 | + | 0.0743022i | ||||
\(505\) | 2235.75 | 0.197009 | ||||||||
\(506\) | −2322.04 | + | 1340.63i | −0.204007 | + | 0.117783i | ||||
\(507\) | 8083.00 | − | 4740.60i | 0.708044 | − | 0.415261i | ||||
\(508\) | 2021.03 | − | 3500.52i | 0.176513 | − | 0.305729i | ||||
\(509\) | −2308.88 | − | 3999.09i | −0.201059 | − | 0.348245i | 0.747811 | − | 0.663912i | \(-0.231105\pi\) |
−0.948870 | + | 0.315667i | \(0.897772\pi\) | |||||||
\(510\) | −5018.72 | + | 8831.39i | −0.435750 | + | 0.766785i | ||||
\(511\) | 2947.59 | + | 675.851i | 0.255174 | + | 0.0585086i | ||||
\(512\) | − | 512.000i | − | 0.0441942i | ||||||
\(513\) | 9970.63 | + | 16480.6i | 0.858117 | + | 1.41839i | ||||
\(514\) | −8126.62 | − | 4691.91i | −0.697374 | − | 0.402629i | ||||
\(515\) | 7834.80 | + | 4523.42i | 0.670374 | + | 0.387040i | ||||
\(516\) | 40.5152 | + | 5933.46i | 0.00345656 | + | 0.506213i | ||||
\(517\) | − | 7452.92i | − | 0.634002i | ||||||
\(518\) | −13845.5 | − | 3174.62i | −1.17440 | − | 0.269276i | ||||
\(519\) | −11917.3 | − | 6772.36i | −1.00792 | − | 0.572781i | ||||
\(520\) | −836.865 | − | 1449.49i | −0.0705749 | − | 0.122239i | ||||
\(521\) | 6012.38 | − | 10413.7i | 0.505580 | − | 0.875690i | −0.494399 | − | 0.869235i | \(-0.664612\pi\) |
0.999979 | − | 0.00645499i | \(-0.00205470\pi\) | |||||||
\(522\) | −7252.51 | + | 99.0488i | −0.608111 | + | 0.00830507i | ||||
\(523\) | 2045.16 | − | 1180.78i | 0.170992 | − | 0.0987222i | −0.412062 | − | 0.911156i | \(-0.635191\pi\) |
0.583053 | + | 0.812434i | \(0.301858\pi\) | |||||||
\(524\) | 1434.51 | 0.119593 | ||||||||
\(525\) | −398.839 | − | 1266.72i | −0.0331557 | − | 0.105303i | ||||
\(526\) | 2105.98 | 0.174573 | ||||||||
\(527\) | −13436.7 | + | 7757.69i | −1.11065 | + | 0.641234i | ||||
\(528\) | −1296.33 | − | 2210.32i | −0.106848 | − | 0.182181i | ||||
\(529\) | −5137.49 | + | 8898.40i | −0.422248 | + | 0.731355i | ||||
\(530\) | 5268.69 | + | 9125.65i | 0.431807 | + | 0.747911i | ||||
\(531\) | −10120.7 | − | 16989.4i | −0.827119 | − | 1.38847i | ||||
\(532\) | 2988.28 | + | 9722.06i | 0.243531 | + | 0.792302i | ||||
\(533\) | 2140.48i | 0.173949i | ||||||||
\(534\) | 10934.3 | − | 74.6625i | 0.886095 | − | 0.00605050i | ||||
\(535\) | 19617.8 | + | 11326.3i | 1.58533 | + | 0.915291i | ||||
\(536\) | −3880.48 | − | 2240.40i | −0.312707 | − | 0.180542i | ||||
\(537\) | −17168.9 | + | 117.234i | −1.37969 | + | 0.00942091i | ||||
\(538\) | − | 5309.96i | − | 0.425518i | ||||||
\(539\) | 10543.6 | − | 769.067i | 0.842571 | − | 0.0614583i | ||||
\(540\) | 121.214 | + | 5916.53i | 0.00965967 | + | 0.471494i | ||||
\(541\) | 1479.47 | + | 2562.52i | 0.117574 | + | 0.203644i | 0.918806 | − | 0.394710i | \(-0.129155\pi\) |
−0.801232 | + | 0.598354i | \(0.795822\pi\) | |||||||
\(542\) | −2710.60 | + | 4694.89i | −0.214816 | + | 0.372072i | ||||
\(543\) | 1098.66 | + | 1873.28i | 0.0868286 | + | 0.148048i | ||||
\(544\) | −2568.72 | + | 1483.05i | −0.202450 | + | 0.116885i | ||||
\(545\) | −13107.8 | −1.03023 | ||||||||
\(546\) | 3727.73 | + | 827.978i | 0.292183 | + | 0.0648978i | ||||
\(547\) | −8615.33 | −0.673427 | −0.336714 | − | 0.941607i | \(-0.609315\pi\) | ||||
−0.336714 | + | 0.941607i | \(0.609315\pi\) | |||||||
\(548\) | 4776.15 | − | 2757.51i | 0.372312 | − | 0.214955i | ||||
\(549\) | 112.912 | + | 8267.57i | 0.00877769 | + | 0.642716i | ||||
\(550\) | −425.328 | + | 736.689i | −0.0329746 | + | 0.0571137i | ||||
\(551\) | −9220.61 | − | 15970.6i | −0.712906 | − | 1.23479i | ||||
\(552\) | 1572.04 | + | 893.360i | 0.121214 | + | 0.0688839i | ||||
\(553\) | −11859.1 | − | 11025.6i | −0.911934 | − | 0.847839i | ||||
\(554\) | − | 3840.87i | − | 0.294554i | ||||||
\(555\) | −143.481 | − | 21012.7i | −0.0109737 | − | 1.60710i | ||||
\(556\) | −1643.67 | − | 948.976i | −0.125373 | − | 0.0723841i | ||||
\(557\) | 20665.9 | + | 11931.5i | 1.57207 | + | 0.907635i | 0.995915 | + | 0.0902950i | \(0.0287810\pi\) |
0.576155 | + | 0.817340i | \(0.304552\pi\) | |||||||
\(558\) | −4412.19 | + | 7889.00i | −0.334736 | + | 0.598509i | ||||
\(559\) | 5663.94i | 0.428550i | ||||||||
\(560\) | −698.356 | + | 3045.74i | −0.0526981 | + | 0.229832i | ||||
\(561\) | −7334.29 | + | 12906.1i | −0.551968 | + | 0.971292i | ||||
\(562\) | −5730.99 | − | 9926.36i | −0.430155 | − | 0.745050i | ||||
\(563\) | −5552.10 | + | 9616.52i | −0.415618 | + | 0.719872i | −0.995493 | − | 0.0948337i | \(-0.969768\pi\) |
0.579875 | + | 0.814705i | \(0.303101\pi\) | |||||||
\(564\) | −4335.36 | + | 2542.65i | −0.323673 | + | 0.189831i | ||||
\(565\) | −1768.95 | + | 1021.30i | −0.131717 | + | 0.0760470i | ||||
\(566\) | 3669.06 | 0.272477 | ||||||||
\(567\) | −10135.4 | − | 8919.56i | −0.750697 | − | 0.660646i | ||||
\(568\) | 593.729 | 0.0438597 | ||||||||
\(569\) | 20144.7 | − | 11630.5i | 1.48420 | − | 0.856903i | 0.484361 | − | 0.874868i | \(-0.339052\pi\) |
0.999839 | + | 0.0179647i | \(0.00571865\pi\) | |||||||
\(570\) | −12978.5 | + | 7611.76i | −0.953700 | + | 0.559336i | ||||
\(571\) | 1521.55 | − | 2635.40i | 0.111514 | − | 0.193149i | −0.804867 | − | 0.593456i | \(-0.797763\pi\) |
0.916381 | + | 0.400307i | \(0.131097\pi\) | |||||||
\(572\) | −1222.98 | − | 2118.27i | −0.0893977 | − | 0.154841i | ||||
\(573\) | 2728.76 | − | 4801.77i | 0.198945 | − | 0.350082i | ||||
\(574\) | 2721.01 | − | 2926.71i | 0.197862 | − | 0.212820i | ||||
\(575\) | − | 600.258i | − | 0.0435348i | ||||||
\(576\) | −843.483 | + | 1508.15i | −0.0610159 | + | 0.109097i | ||||
\(577\) | 8570.32 | + | 4948.08i | 0.618349 | + | 0.357004i | 0.776226 | − | 0.630455i | \(-0.217132\pi\) |
−0.157877 | + | 0.987459i | \(0.550465\pi\) | |||||||
\(578\) | 6371.41 | + | 3678.54i | 0.458505 | + | 0.264718i | ||||
\(579\) | 138.019 | + | 20212.8i | 0.00990650 | + | 1.45081i | ||||
\(580\) | − | 5665.63i | − | 0.405607i | ||||||
\(581\) | −7197.98 | + | 2212.45i | −0.513980 | + | 0.157983i | ||||
\(582\) | −2197.69 | − | 1248.91i | −0.156525 | − | 0.0889500i | ||||
\(583\) | 7699.60 | + | 13336.1i | 0.546972 | + | 0.947384i | ||||
\(584\) | −653.141 | + | 1131.27i | −0.0462794 | + | 0.0801582i | ||||
\(585\) | 77.1399 | + | 5648.31i | 0.00545187 | + | 0.399195i | ||||
\(586\) | −2090.29 | + | 1206.83i | −0.147354 | + | 0.0850746i | ||||
\(587\) | 14853.9 | 1.04444 | 0.522219 | − | 0.852812i | \(-0.325104\pi\) | ||||
0.522219 | + | 0.852812i | \(0.325104\pi\) | |||||||
\(588\) | −4044.44 | − | 5870.85i | −0.283657 | − | 0.411751i | ||||
\(589\) | −22981.7 | −1.60771 | ||||||||
\(590\) | 13377.5 | − | 7723.53i | 0.933466 | − | 0.538937i | ||||
\(591\) | 8484.45 | + | 14466.5i | 0.590531 | + | 1.00689i | ||||
\(592\) | 3067.95 | − | 5313.84i | 0.212993 | − | 0.368915i | ||||
\(593\) | −2072.42 | − | 3589.54i | −0.143515 | − | 0.248575i | 0.785303 | − | 0.619111i | \(-0.212507\pi\) |
−0.928818 | + | 0.370537i | \(0.879174\pi\) | |||||||
\(594\) | 177.141 | + | 8646.34i | 0.0122360 | + | 0.597245i | ||||
\(595\) | 17303.4 | − | 5318.57i | 1.19222 | − | 0.366454i | ||||
\(596\) | − | 2397.74i | − | 0.164791i | ||||||
\(597\) | −14392.3 | + | 98.2747i | −0.986665 | + | 0.00673721i | ||||
\(598\) | 1494.74 | + | 862.987i | 0.102215 | + | 0.0590137i | ||||
\(599\) | −4311.66 | − | 2489.34i | −0.294107 | − | 0.169802i | 0.345686 | − | 0.938350i | \(-0.387646\pi\) |
−0.639792 | + | 0.768548i | \(0.720980\pi\) | |||||||
\(600\) | 573.638 | − | 3.91695i | 0.0390311 | − | 0.000266515i | ||||
\(601\) | − | 6641.45i | − | 0.450766i | −0.974270 | − | 0.225383i | \(-0.927637\pi\) | ||
0.974270 | − | 0.225383i | \(-0.0723633\pi\) | |||||||
\(602\) | 7200.08 | − | 7744.39i | 0.487464 | − | 0.524315i | ||||
\(603\) | 7739.48 | + | 12992.1i | 0.522680 | + | 0.877414i | ||||
\(604\) | −3990.35 | − | 6911.50i | −0.268817 | − | 0.465604i | ||||
\(605\) | −2009.18 | + | 3480.00i | −0.135016 | + | 0.233854i | ||||
\(606\) | −1114.68 | − | 1900.59i | −0.0747205 | − | 0.127403i | ||||
\(607\) | −6658.36 | + | 3844.21i | −0.445230 | + | 0.257054i | −0.705814 | − | 0.708398i | \(-0.749418\pi\) |
0.260583 | + | 0.965451i | \(0.416085\pi\) | |||||||
\(608\) | −4393.44 | −0.293055 | ||||||||
\(609\) | 9526.56 | + | 8736.48i | 0.633885 | + | 0.581314i | ||||
\(610\) | −6458.58 | −0.428689 | ||||||||
\(611\) | −4154.82 | + | 2398.79i | −0.275100 | + | 0.158829i | ||||
\(612\) | 10009.6 | − | 136.703i | 0.661137 | − | 0.00902926i | ||||
\(613\) | −4708.37 | + | 8155.14i | −0.310227 | + | 0.537330i | −0.978411 | − | 0.206666i | \(-0.933739\pi\) |
0.668184 | + | 0.743996i | \(0.267072\pi\) | |||||||
\(614\) | 5508.71 | + | 9541.37i | 0.362074 | + | 0.627131i | ||||
\(615\) | 5139.64 | + | 2920.76i | 0.336992 | + | 0.191507i | ||||
\(616\) | −1020.57 | + | 4451.01i | −0.0667530 | + | 0.291130i | ||||
\(617\) | 9209.91i | 0.600935i | 0.953792 | + | 0.300468i | \(0.0971428\pi\) | ||||
−0.953792 | + | 0.300468i | \(0.902857\pi\) | |||||||
\(618\) | −60.8775 | − | 8915.51i | −0.00396254 | − | 0.580315i | ||||
\(619\) | −8867.28 | − | 5119.53i | −0.575777 | − | 0.332425i | 0.183676 | − | 0.982987i | \(-0.441200\pi\) |
−0.759454 | + | 0.650562i | \(0.774534\pi\) | |||||||
\(620\) | −6114.63 | − | 3530.28i | −0.396080 | − | 0.228677i | ||||
\(621\) | −3158.86 | − | 5221.31i | −0.204123 | − | 0.337398i | ||||
\(622\) | − | 8458.05i | − | 0.545236i | ||||||
\(623\) | −14271.6 | − | 13268.5i | −0.917782 | − | 0.853276i | ||||
\(624\) | −814.962 | + | 1434.08i | −0.0522830 | + | 0.0920019i | ||||
\(625\) | 6854.79 | + | 11872.8i | 0.438706 | + | 0.759862i | ||||
\(626\) | 5395.50 | − | 9345.29i | 0.344485 | − | 0.596666i | ||||
\(627\) | −18966.6 | + | 11123.7i | −1.20806 | + | 0.708514i | ||||
\(628\) | −3063.86 | + | 1768.92i | −0.194684 | + | 0.112401i | ||||
\(629\) | −35546.2 | −2.25329 | ||||||||
\(630\) | 7074.73 | − | 7821.07i | 0.447403 | − | 0.494602i | ||||
\(631\) | −25041.7 | −1.57987 | −0.789934 | − | 0.613192i | \(-0.789885\pi\) | ||||
−0.789934 | + | 0.613192i | \(0.789885\pi\) | |||||||
\(632\) | 6057.47 | − | 3497.28i | 0.381255 | − | 0.220118i | ||||
\(633\) | −8869.13 | + | 5201.66i | −0.556898 | + | 0.326615i | ||||
\(634\) | −7124.01 | + | 12339.1i | −0.446263 | + | 0.772949i | ||||
\(635\) | −5328.00 | − | 9228.37i | −0.332969 | − | 0.576719i | ||||
\(636\) | 5130.80 | − | 9028.62i | 0.319889 | − | 0.562906i | ||||
\(637\) | −3822.29 | − | 5630.27i | −0.237747 | − | 0.350203i | ||||
\(638\) | − | 8279.67i | − | 0.513786i | ||||||
\(639\) | −1748.89 | − | 978.125i | −0.108271 | − | 0.0605541i | ||||
\(640\) | −1168.94 | − | 674.889i | −0.0721977 | − | 0.0416833i | ||||
\(641\) | −545.089 | − | 314.707i | −0.0335877 | − | 0.0193919i | 0.483112 | − | 0.875558i | \(-0.339506\pi\) |
−0.516700 | + | 0.856167i | \(0.672840\pi\) | |||||||
\(642\) | −152.433 | − | 22323.8i | −0.00937081 | − | 1.37235i | ||||
\(643\) | − | 11568.9i | − | 0.709538i | −0.934954 | − | 0.354769i | \(-0.884559\pi\) | ||
0.934954 | − | 0.354769i | \(-0.115441\pi\) | |||||||
\(644\) | −946.736 | − | 3080.11i | −0.0579295 | − | 0.188468i | ||||
\(645\) | 13600.0 | + | 7728.65i | 0.830234 | + | 0.471807i | ||||
\(646\) | 12725.9 | + | 22042.0i | 0.775070 | + | 1.34246i | ||||
\(647\) | 9784.59 | − | 16947.4i | 0.594547 | − | 1.02979i | −0.399064 | − | 0.916923i | \(-0.630665\pi\) |
0.993611 | − | 0.112862i | \(-0.0360018\pi\) | |||||||
\(648\) | 4969.14 | − | 3052.84i | 0.301244 | − | 0.185072i | ||||
\(649\) | 19549.8 | − | 11287.1i | 1.18243 | − | 0.682675i | ||||
\(650\) | 547.581 | 0.0330429 | ||||||||
\(651\) | 15364.9 | − | 4837.80i | 0.925036 | − | 0.291257i | ||||
\(652\) | 2707.94 | 0.162655 | ||||||||
\(653\) | 5834.29 | − | 3368.43i | 0.349638 | − | 0.201863i | −0.314888 | − | 0.949129i | \(-0.601967\pi\) |
0.664526 | + | 0.747265i | \(0.268634\pi\) | |||||||
\(654\) | 6535.16 | + | 11142.8i | 0.390741 | + | 0.666236i | ||||
\(655\) | 1890.89 | − | 3275.12i | 0.112799 | − | 0.195373i | ||||
\(656\) | 863.096 | + | 1494.93i | 0.0513693 | + | 0.0889742i | ||||
\(657\) | 3787.59 | − | 2256.28i | 0.224913 | − | 0.133982i | ||||
\(658\) | 8730.31 | + | 2001.77i | 0.517238 | + | 0.118597i | ||||
\(659\) | − | 3912.25i | − | 0.231259i | −0.993292 | − | 0.115629i | \(-0.963112\pi\) | ||
0.993292 | − | 0.115629i | \(-0.0368885\pi\) | |||||||
\(660\) | −6755.10 | + | 46.1257i | −0.398397 | + | 0.00272036i | ||||
\(661\) | 24001.8 | + | 13857.5i | 1.41235 | + | 0.815420i | 0.995609 | − | 0.0936057i | \(-0.0298393\pi\) |
0.416740 | + | 0.909026i | \(0.363173\pi\) | |||||||
\(662\) | 3069.97 | + | 1772.45i | 0.180238 | + | 0.104061i | ||||
\(663\) | 9555.42 | − | 65.2470i | 0.559731 | − | 0.00382199i | ||||
\(664\) | − | 3252.80i | − | 0.190110i | ||||||
\(665\) | 26135.3 | + | 5992.54i | 1.52404 | + | 0.349445i | ||||
\(666\) | −17791.1 | + | 10598.3i | −1.03512 | + | 0.616629i | ||||
\(667\) | 2921.24 | + | 5059.73i | 0.169581 | + | 0.293724i | ||||
\(668\) | 7437.48 | − | 12882.1i | 0.430786 | − | 0.746143i | ||||
\(669\) | −6400.20 | − | 10912.7i | −0.369875 | − | 0.630657i | ||||
\(670\) | −10230.1 | + | 5906.32i | −0.589883 | + | 0.340569i | ||||
\(671\) | −9438.48 | −0.543023 | ||||||||
\(672\) | 2937.33 | − | 924.849i | 0.168616 | − | 0.0530905i | ||||
\(673\) | 27462.5 | 1.57296 | 0.786479 | − | 0.617617i | \(-0.211902\pi\) | ||||
0.786479 | + | 0.617617i | \(0.211902\pi\) | |||||||
\(674\) | −13511.6 | + | 7800.94i | −0.772179 | + | 0.445817i | ||||
\(675\) | −1696.16 | − | 933.490i | −0.0967191 | − | 0.0532297i | ||||
\(676\) | 3606.75 | − | 6247.07i | 0.205209 | − | 0.355432i | ||||
\(677\) | 4757.18 | + | 8239.68i | 0.270064 | + | 0.467765i | 0.968878 | − | 0.247539i | \(-0.0796218\pi\) |
−0.698814 | + | 0.715303i | \(0.746288\pi\) | |||||||
\(678\) | 1750.14 | + | 994.574i | 0.0991354 | + | 0.0563369i | ||||
\(679\) | 1323.53 | + | 4305.96i | 0.0748046 | + | 0.243369i | ||||
\(680\) | 7819.48i | 0.440976i | ||||||||
\(681\) | 11.7695 | + | 1723.64i | 0.000662273 | + | 0.0969900i | ||||
\(682\) | −8935.84 | − | 5159.11i | −0.501717 | − | 0.289666i | ||||
\(683\) | 22760.4 | + | 13140.7i | 1.27511 | + | 0.736186i | 0.975945 | − | 0.218015i | \(-0.0699583\pi\) |
0.299166 | + | 0.954201i | \(0.403292\pi\) | |||||||
\(684\) | 12941.3 | + | 7237.87i | 0.723428 | + | 0.404601i | ||||
\(685\) | − | 14539.2i | − | 0.810969i | ||||||
\(686\) | −1931.01 | + | 12557.3i | −0.107473 | + | 0.698892i | ||||
\(687\) | 5461.37 | − | 9610.33i | 0.303296 | − | 0.533707i | ||||
\(688\) | 2283.84 | + | 3955.73i | 0.126556 | + | 0.219202i | ||||
\(689\) | 4956.36 | − | 8584.67i | 0.274053 | − | 0.474673i | ||||
\(690\) | 4111.79 | − | 2411.53i | 0.226860 | − | 0.133051i | ||||
\(691\) | −6698.34 | + | 3867.29i | −0.368765 | + | 0.212907i | −0.672919 | − | 0.739716i | \(-0.734960\pi\) |
0.304154 | + | 0.952623i | \(0.401626\pi\) | |||||||
\(692\) | −10551.8 | −0.579650 | ||||||||
\(693\) | 10338.9 | − | 11429.6i | 0.566728 | − | 0.626515i | ||||
\(694\) | 14339.9 | 0.784347 | ||||||||
\(695\) | −4333.20 | + | 2501.77i | −0.236500 | + | 0.136543i | ||||
\(696\) | −4816.28 | + | 2824.71i | −0.262300 | + | 0.153836i | ||||
\(697\) | 5000.05 | − | 8660.34i | 0.271722 | − | 0.470637i | ||||
\(698\) | −5543.44 | − | 9601.52i | −0.300605 | − | 0.520663i | ||||
\(699\) | 2399.41 | − | 4222.22i | 0.129834 | − | 0.228468i | ||||
\(700\) | −748.716 | − | 696.092i | −0.0404269 | − | 0.0375855i | ||||
\(701\) | − | 16405.7i | − | 0.883929i | −0.897033 | − | 0.441964i | \(-0.854282\pi\) | ||
0.897033 | − | 0.441964i | \(-0.145718\pi\) | |||||||
\(702\) | 4763.11 | − | 2881.65i | 0.256085 | − | 0.154930i | ||||
\(703\) | −45597.7 | − | 26325.9i | −2.44630 | − | 1.41237i | ||||
\(704\) | −1708.28 | − | 986.274i | −0.0914533 | − | 0.0528006i | ||||
\(705\) | 90.4719 | + | 13249.6i | 0.00483315 | + | 0.707814i | ||||
\(706\) | 61.8677i | 0.00329805i | ||||||||
\(707\) | −877.556 | + | 3827.29i | −0.0466816 | + | 0.203593i | ||||
\(708\) | −13235.3 | − | 7521.39i | −0.702562 | − | 0.399253i | ||||
\(709\) | 5304.71 | + | 9188.03i | 0.280991 | + | 0.486691i | 0.971629 | − | 0.236510i | \(-0.0760035\pi\) |
−0.690638 | + | 0.723201i | \(0.742670\pi\) | |||||||
\(710\) | 782.619 | − | 1355.54i | 0.0413679 | − | 0.0716512i | ||||
\(711\) | −23604.4 | + | 322.370i | −1.24506 | + | 0.0170040i | ||||
\(712\) | 7289.73 | − | 4208.72i | 0.383699 | − | 0.221529i | ||||
\(713\) | 7280.97 | 0.382432 | ||||||||
\(714\) | −13148.2 | − | 12057.8i | −0.689159 | − | 0.632003i | ||||
\(715\) | −6448.26 | −0.337275 | ||||||||
\(716\) | −11446.2 | + | 6608.48i | −0.597438 | + | 0.344931i | ||||
\(717\) | −5056.98 | − | 8622.44i | −0.263398 | − | 0.449109i | ||||
\(718\) | −6575.26 | + | 11388.7i | −0.341764 | + | 0.591953i | ||||
\(719\) | 10075.2 | + | 17450.8i | 0.522591 | + | 0.905153i | 0.999654 | + | 0.0262848i | \(0.00836768\pi\) |
−0.477064 | + | 0.878869i | \(0.658299\pi\) | |||||||
\(720\) | 2331.41 | + | 3913.71i | 0.120676 | + | 0.202577i | ||||
\(721\) | −10818.7 | + | 11636.6i | −0.558821 | + | 0.601067i | ||||
\(722\) | 23981.8i | 1.23616i | ||||||||
\(723\) | 17076.4 | − | 116.602i | 0.878393 | − | 0.00599791i | ||||
\(724\) | 1447.79 | + | 835.881i | 0.0743186 | + | 0.0429079i | ||||
\(725\) | 1605.25 | + | 926.790i | 0.0822309 | + | 0.0474760i | ||||
\(726\) | 3960.02 | − | 27.0401i | 0.202438 | − | 0.00138230i | ||||
\(727\) | 26758.5i | 1.36509i | 0.730846 | + | 0.682543i | \(0.239126\pi\) | ||||
−0.730846 | + | 0.682543i | \(0.760874\pi\) | |||||||
\(728\) | 2809.81 | − | 863.654i | 0.143047 | − | 0.0439686i | ||||
\(729\) | −19666.5 | + | 806.167i | −0.999161 | + | 0.0409575i | ||||
\(730\) | 1721.87 | + | 2982.36i | 0.0873002 | + | 0.151208i | ||||
\(731\) | 13230.7 | − | 22916.2i | 0.669431 | − | 1.15949i | ||||
\(732\) | 3220.05 | + | 5490.37i | 0.162591 | + | 0.277227i | ||||
\(733\) | 7106.39 | − | 4102.88i | 0.358091 | − | 0.206744i | −0.310152 | − | 0.950687i | \(-0.600380\pi\) |
0.668243 | + | 0.743943i | \(0.267047\pi\) | |||||||
\(734\) | −4838.88 | −0.243333 | ||||||||
\(735\) | −18734.8 | + | 1495.22i | −0.940197 | + | 0.0750366i | ||||
\(736\) | 1391.91 | 0.0697100 | ||||||||
\(737\) | −14950.1 | + | 8631.42i | −0.747208 | + | 0.431401i | ||||
\(738\) | −79.5579 | − | 5825.35i | −0.00396825 | − | 0.290561i | ||||
\(739\) | 10324.9 | − | 17883.2i | 0.513946 | − | 0.890180i | −0.485923 | − | 0.874001i | \(-0.661517\pi\) |
0.999869 | − | 0.0161788i | \(-0.00515010\pi\) | |||||||
\(740\) | −8087.99 | − | 14008.8i | −0.401784 | − | 0.695911i | ||||
\(741\) | 12305.8 | + | 6993.13i | 0.610072 | + | 0.346693i | ||||
\(742\) | −17689.8 | + | 5437.35i | −0.875222 | + | 0.269018i | ||||
\(743\) | 8375.29i | 0.413539i | 0.978390 | + | 0.206769i | \(0.0662950\pi\) | ||||
−0.978390 | + | 0.206769i | \(0.933705\pi\) | |||||||
\(744\) | 47.5116 | + | 6958.07i | 0.00234121 | + | 0.342870i | ||||
\(745\) | −5474.25 | − | 3160.56i | −0.269210 | − | 0.155428i | ||||
\(746\) | 16959.1 | + | 9791.32i | 0.832326 | + | 0.480544i | ||||
\(747\) | −5358.75 | + | 9581.46i | −0.262472 | + | 0.469300i | ||||
\(748\) | 11427.3i | 0.558587i | ||||||||
\(749\) | −27089.3 | + | 29137.2i | −1.32152 | + | 1.42143i | ||||
\(750\) | 7515.30 | − | 13224.6i | 0.365893 | − | 0.643859i | ||||
\(751\) | −13298.8 | − | 23034.3i | −0.646181 | − | 1.11922i | −0.984028 | − | 0.178016i | \(-0.943032\pi\) |
0.337847 | − | 0.941201i | \(-0.390301\pi\) | |||||||
\(752\) | −1934.50 | + | 3350.65i | −0.0938085 | + | 0.162481i | ||||
\(753\) | −19290.9 | + | 11314.0i | −0.933600 | + | 0.547548i | ||||
\(754\) | −4615.71 | + | 2664.88i | −0.222937 | + | 0.128713i | ||||
\(755\) | −21039.4 | −1.01418 | ||||||||
\(756\) | −10175.8 | − | 2114.80i | −0.489540 | − | 0.101739i | ||||
\(757\) | −26633.6 | −1.27875 | −0.639376 | − | 0.768894i | \(-0.720807\pi\) | ||||
−0.639376 | + | 0.768894i | \(0.720807\pi\) | |||||||
\(758\) | −21929.3 | + | 12660.9i | −1.05080 | + | 0.606681i | ||||
\(759\) | 6008.92 | − | 3524.18i | 0.287365 | − | 0.168537i | ||||
\(760\) | −5791.18 | + | 10030.6i | −0.276405 | + | 0.478748i | ||||
\(761\) | 4243.87 | + | 7350.60i | 0.202155 | + | 0.350143i | 0.949223 | − | 0.314605i | \(-0.101872\pi\) |
−0.747067 | + | 0.664748i | \(0.768539\pi\) | |||||||
\(762\) | −5188.56 | + | 9130.26i | −0.246669 | + | 0.434061i | ||||
\(763\) | 5144.96 | − | 22438.8i | 0.244116 | − | 1.06466i | ||||
\(764\) | − | 4251.58i | − | 0.201331i | ||||||
\(765\) | 12882.0 | − | 23033.1i | 0.608825 | − | 1.08858i | ||||
\(766\) | 15759.6 | + | 9098.83i | 0.743367 | + | 0.429183i | ||||
\(767\) | −12584.5 | − | 7265.67i | −0.592439 | − | 0.342045i | ||||
\(768\) | 9.08285 | + | 1330.18i | 0.000426757 | + | 0.0624985i | ||||
\(769\) | − | 22673.5i | − | 1.06324i | −0.846984 | − | 0.531618i | \(-0.821584\pi\) | ||
0.846984 | − | 0.531618i | \(-0.178416\pi\) | |||||||
\(770\) | 8816.80 | + | 8197.12i | 0.412644 | + | 0.383641i | ||||
\(771\) | 21196.3 | + | 12045.5i | 0.990100 | + | 0.562656i | ||||
\(772\) | 7780.11 | + | 13475.5i | 0.362710 | + | 0.628232i | ||||
\(773\) | −18141.2 | + | 31421.4i | −0.844103 | + | 1.46203i | 0.0422941 | + | 0.999105i | \(0.486533\pi\) |
−0.886398 | + | 0.462925i | \(0.846800\pi\) | |||||||
\(774\) | −210.518 | − | 15414.5i | −0.00977640 | − | 0.715843i | ||||
\(775\) | 2000.48 | − | 1154.98i | 0.0927217 | − | 0.0535329i | ||||
\(776\) | −1945.88 | −0.0900167 | ||||||||
\(777\) | 36027.2 | + | 8002.11i | 1.66341 | + | 0.369465i | ||||
\(778\) | 19514.4 | 0.899263 | ||||||||
\(779\) | 12827.9 | − | 7406.17i | 0.589994 | − | 0.340633i | ||||
\(780\) | 2199.90 | + | 3750.96i | 0.100986 | + | 0.172187i | ||||
\(781\) | 1143.71 | − | 1980.96i | 0.0524009 | − | 0.0907611i | ||||
\(782\) | −4031.78 | − | 6983.26i | −0.184369 | − | 0.319336i | ||||
\(783\) | 18840.4 | − | 385.990i | 0.859898 | − | 0.0176170i | ||||
\(784\) | −4939.78 | − | 2390.98i | −0.225026 | − | 0.108918i | ||||
\(785\) | 9326.77i | 0.424060i | ||||||||
\(786\) | −3726.88 | + | 25.4482i | −0.169127 | + | 0.00115484i | ||||
\(787\) | −1911.44 | − | 1103.57i | −0.0865763 | − | 0.0499849i | 0.456087 | − | 0.889935i | \(-0.349251\pi\) |
−0.542663 | + | 0.839950i | \(0.682584\pi\) | |||||||
\(788\) | 11180.6 | + | 6455.14i | 0.505449 | + | 0.291821i | ||||
\(789\) | −5471.38 | + | 37.3600i | −0.246877 | + | 0.00168574i | ||||
\(790\) | − | 18439.7i | − | 0.830448i | ||||||
\(791\) | −1054.00 | − | 3429.07i | −0.0473778 | − | 0.154139i | ||||
\(792\) | 3407.10 | + | 5719.44i | 0.152861 | + | 0.256605i | ||||
\(793\) | 3037.86 | + | 5261.72i | 0.136037 | + | 0.235623i | ||||
\(794\) | 8162.78 | − | 14138.3i | 0.364844 | − | 0.631928i | ||||
\(795\) | −13850.0 | − | 23615.1i | −0.617875 | − | 1.05351i | ||||
\(796\) | −9595.12 | + | 5539.74i | −0.427249 | + | 0.246672i | ||||
\(797\) | 43496.3 | 1.93315 | 0.966574 | − | 0.256388i | \(-0.0825325\pi\) | ||||
0.966574 | + | 0.256388i | \(0.0825325\pi\) | |||||||
\(798\) | −7936.07 | − | 25205.0i | −0.352047 | − | 1.11811i | ||||
\(799\) | 22413.7 | 0.992417 | ||||||||
\(800\) | 382.434 | − | 220.798i | 0.0169014 | − | 0.00975801i | ||||
\(801\) | −28406.2 | + | 387.949i | −1.25304 | + | 0.0171130i | ||||
\(802\) | 10259.8 | − | 17770.4i | 0.451727 | − | 0.782414i | ||||
\(803\) | 2516.31 | + | 4358.38i | 0.110584 | + | 0.191537i | ||||
\(804\) | 10121.3 | + | 5751.74i | 0.443968 | + | 0.252299i | ||||
\(805\) | −8280.09 | − | 1898.54i | −0.362528 | − | 0.0831237i | ||||
\(806\) | 6642.01i | 0.290267i | ||||||||
\(807\) | 94.1984 | + | 13795.4i | 0.00410897 | + | 0.601759i | ||||
\(808\) | −1468.90 | − | 848.068i | −0.0639549 | − | 0.0369244i | ||||
\(809\) | −23156.7 | − | 13369.5i | −1.00636 | − | 0.581024i | −0.0962378 | − | 0.995358i | \(-0.530681\pi\) |
−0.910125 | + | 0.414335i | \(0.864014\pi\) | |||||||
\(810\) | −419.875 | − | 15369.1i | −0.0182135 | − | 0.666685i | ||||
\(811\) | 43614.5i | 1.88842i | 0.329338 | + | 0.944212i | \(0.393174\pi\) | ||||
−0.329338 | + | 0.944212i | \(0.606826\pi\) | |||||||
\(812\) | 9698.76 | + | 2223.82i | 0.419162 | + | 0.0961093i | ||||
\(813\) | 6958.89 | − | 12245.5i | 0.300195 | − | 0.528251i | ||||
\(814\) | −11819.7 | − | 20472.3i | −0.508943 | − | 0.881515i | ||||
\(815\) | 3569.45 | − | 6182.47i | 0.153414 | − | 0.265721i | ||||
\(816\) | 6647.25 | − | 3898.55i | 0.285172 | − | 0.167251i | ||||
\(817\) | 33943.9 | − | 19597.5i | 1.45354 | − | 0.839204i | ||||
\(818\) | 4146.46 | 0.177234 | ||||||||
\(819\) | −9699.39 | − | 2084.97i | −0.413827 | − | 0.0889557i | ||||
\(820\) | 4550.74 | 0.193803 | ||||||||
\(821\) | −3199.70 | + | 1847.35i | −0.136017 | + | 0.0785297i | −0.566465 | − | 0.824086i | \(-0.691689\pi\) |
0.430447 | + | 0.902616i | \(0.358356\pi\) | |||||||
\(822\) | −12359.6 | + | 7248.79i | −0.524441 | + | 0.307580i | ||||
\(823\) | −8733.70 | + | 15127.2i | −0.369912 | + | 0.640706i | −0.989551 | − | 0.144180i | \(-0.953945\pi\) |
0.619640 | + | 0.784887i | \(0.287279\pi\) | |||||||
\(824\) | −3431.66 | − | 5943.81i | −0.145082 | − | 0.251289i | ||||
\(825\) | 1091.94 | − | 1921.48i | 0.0460805 | − | 0.0810875i | ||||
\(826\) | 7970.77 | + | 25932.0i | 0.335761 | + | 1.09236i | ||||
\(827\) | − | 37321.1i | − | 1.56926i | −0.619962 | − | 0.784632i | \(-0.712852\pi\) | ||
0.619962 | − | 0.784632i | \(-0.287148\pi\) | |||||||
\(828\) | −4100.03 | − | 2293.08i | −0.172084 | − | 0.0962438i | ||||
\(829\) | 39701.3 | + | 22921.6i | 1.66331 | + | 0.960313i | 0.971118 | + | 0.238601i | \(0.0766887\pi\) |
0.692193 | + | 0.721712i | \(0.256645\pi\) | |||||||
\(830\) | −7426.43 | − | 4287.65i | −0.310573 | − | 0.179309i | ||||
\(831\) | 68.1369 | + | 9978.65i | 0.00284433 | + | 0.416553i | ||||
\(832\) | 1269.76i | 0.0529100i | ||||||||
\(833\) | 2312.87 | + | 31708.6i | 0.0962020 | + | 1.31889i | ||||
\(834\) | 4287.13 | + | 2436.30i | 0.177999 | + | 0.101154i | ||||
\(835\) | −19607.3 | − | 33960.9i | −0.812622 | − | 1.40750i | ||||
\(836\) | −8463.15 | + | 14658.6i | −0.350125 | + | 0.606434i | ||||
\(837\) | 11323.0 | − | 20574.0i | 0.467598 | − | 0.849632i | ||||
\(838\) | −20050.6 | + | 11576.2i | −0.826536 | + | 0.477201i | ||||
\(839\) | −11522.6 | −0.474141 | −0.237071 | − | 0.971492i | \(-0.576187\pi\) | ||||
−0.237071 | + | 0.971492i | \(0.576187\pi\) | |||||||
\(840\) | 1760.31 | − | 7925.28i | 0.0723053 | − | 0.325533i | ||||
\(841\) | 6347.59 | 0.260264 | ||||||||
\(842\) | 2586.02 | − | 1493.04i | 0.105843 | − | 0.0611087i | ||||
\(843\) | 15065.3 | + | 25687.2i | 0.615511 | + | 1.04948i | ||||
\(844\) | −3957.53 | + | 6854.64i | −0.161403 | + | 0.279557i | ||||
\(845\) | −9508.41 | − | 16469.1i | −0.387100 | − | 0.670477i | ||||
\(846\) | 11218.2 | − | 6682.76i | 0.455900 | − | 0.271581i | ||||
\(847\) | −5168.64 | − | 4805.36i | −0.209677 | − | 0.194940i | ||||
\(848\) | − | 7994.12i | − | 0.323725i | ||||||
\(849\) | −9532.27 | + | 65.0889i | −0.385332 | + | 0.00263115i | ||||
\(850\) | −2215.50 | − | 1279.12i | −0.0894013 | − | 0.0516159i | ||||
\(851\) | 14446.1 | + | 8340.46i | 0.581911 | + | 0.335966i | ||||
\(852\) | −1542.52 | + | 10.5327i | −0.0620255 | + | 0.000423527i | ||||
\(853\) | 44074.7i | 1.76915i | 0.466395 | + | 0.884577i | \(0.345553\pi\) | ||||
−0.466395 | + | 0.884577i | \(0.654447\pi\) | |||||||
\(854\) | 2535.06 | − | 11056.2i | 0.101579 | − | 0.443015i | ||||
\(855\) | 33583.3 | − | 20005.7i | 1.34330 | − | 0.800211i | ||||
\(856\) | −8592.65 | − | 14882.9i | −0.343097 | − | 0.594261i | ||||
\(857\) | 8037.61 | − | 13921.5i | 0.320373 | − | 0.554902i | −0.660192 | − | 0.751097i | \(-0.729525\pi\) |
0.980565 | + | 0.196195i | \(0.0628585\pi\) | |||||||
\(858\) | 3214.91 | + | 5481.60i | 0.127920 | + | 0.218110i | ||||
\(859\) | 16666.7 | − | 9622.52i | 0.662002 | − | 0.382207i | −0.131037 | − | 0.991377i | \(-0.541831\pi\) |
0.793040 | + | 0.609170i | \(0.208497\pi\) | |||||||
\(860\) | 12041.7 | 0.477464 | ||||||||
\(861\) | −7017.30 | + | 7651.91i | −0.277757 | + | 0.302876i | ||||
\(862\) | 7746.16 | 0.306073 | ||||||||
\(863\) | 10098.5 | − | 5830.35i | 0.398326 | − | 0.229974i | −0.287435 | − | 0.957800i | \(-0.592803\pi\) |
0.685762 | + | 0.727826i | \(0.259469\pi\) | |||||||
\(864\) | 2164.63 | − | 3933.16i | 0.0852340 | − | 0.154871i | ||||
\(865\) | −13908.7 | + | 24090.6i | −0.546718 | + | 0.946944i | ||||
\(866\) | −5450.01 | − | 9439.69i | −0.213855 | − | 0.370408i | ||||
\(867\) | −16618.3 | − | 9443.87i | −0.650965 | − | 0.369931i | ||||
\(868\) | 8443.41 | − | 9081.72i | 0.330171 | − | 0.355131i | ||||
\(869\) | − | 26947.5i | − | 1.05193i | ||||||
\(870\) | 100.508 | + | 14719.4i | 0.00391671 | + | 0.573602i | ||||
\(871\) | 9623.61 | + | 5556.19i | 0.374378 | + | 0.216147i | ||||
\(872\) | 8611.89 | + | 4972.08i | 0.334444 | + | 0.193092i | ||||
\(873\) | 5731.80 | + | 3205.70i | 0.222213 | + | 0.124280i | ||||
\(874\) | − | 11943.9i | − | 0.462252i | ||||||
\(875\) | −25911.1 | + | 7964.32i | −1.00109 | + | 0.307707i | ||||
\(876\) | 1676.80 | − | 2950.65i | 0.0646733 | − | 0.113805i | ||||
\(877\) | −18913.9 | − | 32759.9i | −0.728254 | − | 1.26137i | −0.957621 | − | 0.288033i | \(-0.906999\pi\) |
0.229367 | − | 0.973340i | \(-0.426334\pi\) | |||||||
\(878\) | 2713.77 | − | 4700.39i | 0.104311 | − | 0.180673i | ||||
\(879\) | 5409.20 | − | 3172.45i | 0.207563 | − | 0.121734i | ||||
\(880\) | −4503.51 | + | 2600.10i | −0.172515 | + | 0.0996016i | ||||
\(881\) | −26234.8 | −1.00326 | −0.501631 | − | 0.865082i | \(-0.667266\pi\) | ||||
−0.501631 | + | 0.865082i | \(0.667266\pi\) | |||||||
\(882\) | 10611.7 | + | 15180.8i | 0.405118 | + | 0.579551i | ||||
\(883\) | −6803.07 | −0.259277 | −0.129639 | − | 0.991561i | \(-0.541382\pi\) | ||||
−0.129639 | + | 0.991561i | \(0.541382\pi\) | |||||||
\(884\) | 6370.43 | − | 3677.97i | 0.242376 | − | 0.139936i | ||||
\(885\) | −34618.0 | + | 20303.2i | −1.31488 | + | 0.771168i | ||||
\(886\) | 11066.3 | − | 19167.3i | 0.419614 | − | 0.726793i | ||||
\(887\) | −6115.02 | − | 10591.5i | −0.231480 | − | 0.400934i | 0.726764 | − | 0.686887i | \(-0.241023\pi\) |
−0.958244 | + | 0.285953i | \(0.907690\pi\) | |||||||
\(888\) | −7876.31 | + | 13859.9i | −0.297648 | + | 0.523769i | ||||
\(889\) | 17889.0 | − | 5498.56i | 0.674890 | − | 0.207442i | ||||
\(890\) | − | 22190.8i | − | 0.835773i | ||||||
\(891\) | −613.599 | − | 22460.2i | −0.0230711 | − | 0.844494i | ||||
\(892\) | −8434.06 | − | 4869.40i | −0.316584 | − | 0.182780i | ||||
\(893\) | 28751.7 | + | 16599.8i | 1.07742 | + | 0.622051i | ||||
\(894\) | 42.5357 | + | 6229.36i | 0.00159128 | + | 0.233044i | ||||
\(895\) | 34843.7i | 1.30134i | ||||||||
\(896\) | 1614.14 | − | 1736.16i | 0.0601837 | − | 0.0647335i | ||||
\(897\) | −3898.66 | − | 2215.54i | −0.145120 | − | 0.0824690i | ||||
\(898\) | −3599.14 | − | 6233.89i | −0.133747 | − | 0.231657i | ||||
\(899\) | −11241.7 | + | 19471.2i | −0.417055 | + | 0.722360i | ||||
\(900\) | −1490.25 | + | 20.3526i | −0.0551945 | + | 0.000753800i | ||||
\(901\) | −40106.7 | + | 23155.6i | −1.48296 | + | 0.856187i | ||||
\(902\) | 6650.38 | 0.245492 | ||||||||
\(903\) | −18568.5 | + | 20247.8i | −0.684299 | + | 0.746183i | ||||
\(904\) | 1549.61 | 0.0570125 | ||||||||
\(905\) | 3816.79 | − | 2203.62i | 0.140193 | − | 0.0809402i | ||||
\(906\) | 10489.6 | + | 17885.4i | 0.384651 | + | 0.655852i | ||||
\(907\) | 9920.70 | − | 17183.2i | 0.363188 | − | 0.629060i | −0.625296 | − | 0.780388i | \(-0.715022\pi\) |
0.988484 | + | 0.151328i | \(0.0483549\pi\) | |||||||
\(908\) | 663.446 | + | 1149.12i | 0.0242481 | + | 0.0419989i | ||||
\(909\) | 2929.66 | + | 4917.98i | 0.106898 | + | 0.179449i | ||||
\(910\) | 1731.93 | − | 7553.46i | 0.0630910 | − | 0.275159i | ||||
\(911\) | 48153.2i | 1.75125i | 0.482995 | + | 0.875623i | \(0.339549\pi\) | ||||
−0.482995 | + | 0.875623i | \(0.660451\pi\) | |||||||
\(912\) | 11414.2 | − | 77.9393i | 0.414433 | − | 0.00282986i | ||||
\(913\) | −10852.9 | − | 6265.92i | −0.393404 | − | 0.227132i | ||||
\(914\) | 14402.2 | + | 8315.09i | 0.521204 | + | 0.300917i | ||||
\(915\) | 16779.5 | − | 114.575i | 0.606244 | − | 0.00413959i | ||||
\(916\) | − | 8509.17i | − | 0.306933i | ||||||
\(917\) | 4864.35 | + | 4522.46i | 0.175175 | + | 0.162862i | ||||
\(918\) | −26002.8 | + | 532.728i | −0.934880 | + | 0.0191532i | ||||
\(919\) | −11559.8 | − | 20022.1i | −0.414932 | − | 0.718683i | 0.580490 | − | 0.814268i | \(-0.302861\pi\) |
−0.995421 | + | 0.0955849i | \(0.969528\pi\) | |||||||
\(920\) | 1834.74 | − | 3177.86i | 0.0657495 | − | 0.113882i | ||||
\(921\) | −14481.0 | − | 24690.9i | −0.518094 | − | 0.883380i | ||||
\(922\) | −9824.34 | + | 5672.08i | −0.350919 | + | 0.202603i | ||||
\(923\) | −1472.45 | −0.0525095 | ||||||||
\(924\) | 2572.49 | − | 11581.9i | 0.0915895 | − | 0.412355i | ||||
\(925\) | 5292.17 | 0.188114 | ||||||||
\(926\) | −10967.5 | + | 6332.06i | −0.389215 | + | 0.224713i | ||||
\(927\) | 316.321 | + | 23161.6i | 0.0112075 | + | 0.820632i | ||||
\(928\) | −2149.09 | + | 3722.34i | −0.0760209 | + | 0.131672i | ||||
\(929\) | −16001.3 | − | 27715.1i | −0.565109 | − | 0.978797i | −0.997040 | − | 0.0768903i | \(-0.975501\pi\) |
0.431931 | − | 0.901907i | \(-0.357832\pi\) | |||||||
\(930\) | 15948.5 | + | 9063.26i | 0.562337 | + | 0.319566i | ||||
\(931\) | −20516.8 | + | 42387.9i | −0.722246 | + | 1.49217i | ||||
\(932\) | − | 3738.43i | − | 0.131391i | ||||||
\(933\) | 150.045 | + | 21974.2i | 0.00526502 | + | 0.771063i | ||||
\(934\) | −22411.5 | − | 12939.3i | −0.785146 | − | 0.453304i | ||||
\(935\) | 26089.5 | + | 15062.8i | 0.912534 | + | 0.526852i | ||||
\(936\) | 2091.84 | − | 3740.22i | 0.0730492 | − | 0.130612i | ||||
\(937\) | 22855.6i | 0.796863i | 0.917198 | + | 0.398431i | \(0.130445\pi\) | ||||
−0.917198 | + | 0.398431i | \(0.869555\pi\) | |||||||
\(938\) | −6095.39 | − | 19830.7i | −0.212177 | − | 0.690294i | ||||
\(939\) | −13851.8 | + | 24374.9i | −0.481403 | + | 0.847120i | ||||
\(940\) | 5099.90 | + | 8833.28i | 0.176958 | + | 0.306500i | ||||
\(941\) | 27703.7 | − | 47984.2i | 0.959739 | − | 1.66232i | 0.236610 | − | 0.971605i | \(-0.423964\pi\) |
0.723129 | − | 0.690713i | \(-0.242703\pi\) | |||||||
\(942\) | 7928.59 | − | 4650.04i | 0.274233 | − | 0.160835i | ||||
\(943\) | −4064.07 | + | 2346.39i | −0.140344 | + | 0.0810277i | ||||
\(944\) | −11718.8 | −0.404041 | ||||||||
\(945\) | −18241.5 | + | 20444.8i | −0.627933 | + | 0.703776i | ||||
\(946\) | 17597.6 | 0.604807 | ||||||||
\(947\) | −5965.73 | + | 3444.31i | −0.204710 | + | 0.118189i | −0.598850 | − | 0.800861i | \(-0.704376\pi\) |
0.394141 | + | 0.919050i | \(0.371042\pi\) | |||||||
\(948\) | −15675.3 | + | 9193.45i | −0.537038 | + | 0.314968i | ||||
\(949\) | 1619.79 | − | 2805.56i | 0.0554064 | − | 0.0959667i | ||||
\(950\) | −1894.66 | − | 3281.64i | −0.0647061 | − | 0.112074i | ||||
\(951\) | 18289.4 | − | 32183.7i | 0.623632 | − | 1.09740i | ||||
\(952\) | −13385.9 | − | 3069.23i | −0.455712 | − | 0.104490i | ||||
\(953\) | − | 50638.7i | − | 1.72125i | −0.509242 | − | 0.860623i | \(-0.670074\pi\) | ||
0.509242 | − | 0.860623i | \(-0.329926\pi\) | |||||||
\(954\) | −13169.7 | + | 23547.5i | −0.446945 | + | 0.799140i | ||||
\(955\) | −9706.74 | − | 5604.19i | −0.328903 | − | 0.189892i | ||||
\(956\) | −6663.98 | − | 3847.45i | −0.225448 | − | 0.130163i | ||||
\(957\) | 146.881 | + | 21510.7i | 0.00496132 | + | 0.726586i | ||||
\(958\) | 4207.97i | 0.141914i | ||||||||
\(959\) | 24889.1 | + | 5706.79i | 0.838070 | + | 0.192160i | ||||
\(960\) | 3048.90 | + | 1732.64i | 0.102503 | + | 0.0582506i | ||||
\(961\) | −885.947 | − | 1534.51i | −0.0297387 | − | 0.0515090i | ||||
\(962\) | −7608.53 | + | 13178.4i | −0.254999 | + | 0.441671i | ||||
\(963\) | 792.048 | + | 57995.0i | 0.0265040 | + | 1.94067i | ||||
\(964\) | 11384.5 | − | 6572.87i | 0.380364 | − | 0.219603i | ||||
\(965\) | 41021.2 | 1.36841 | ||||||||
\(966\) | 2514.28 | + | 7985.37i | 0.0837427 | + | 0.265968i | ||||
\(967\) | −15112.3 | −0.502562 | −0.251281 | − | 0.967914i | \(-0.580852\pi\) | ||||
−0.251281 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(968\) | 2640.07 | − | 1524.25i | 0.0876603 | − | 0.0506107i | ||||
\(969\) | −33453.2 | − | 57039.6i | −1.10905 | − | 1.89100i | ||||
\(970\) | −2564.95 | + | 4442.62i | −0.0849026 | + | 0.147056i | ||||
\(971\) | 14046.2 | + | 24328.7i | 0.464226 | + | 0.804063i | 0.999166 | − | 0.0408272i | \(-0.0129993\pi\) |
−0.534941 | + | 0.844890i | \(0.679666\pi\) | |||||||
\(972\) | −12855.8 | + | 8019.48i | −0.424227 | + | 0.264635i | ||||
\(973\) | −2581.86 | − | 8399.80i | −0.0850674 | − | 0.276758i | ||||
\(974\) | 25183.9i | 0.828485i | ||||||||
\(975\) | −1422.62 | + | 9.71406i | −0.0467287 | + | 0.000319076i | ||||
\(976\) | 4243.31 | + | 2449.88i | 0.139165 | + | 0.0803470i | ||||
\(977\) | −34769.9 | − | 20074.4i | −1.13857 | − | 0.657356i | −0.192497 | − | 0.981298i | \(-0.561659\pi\) |
−0.946077 | + | 0.323941i | \(0.894992\pi\) | |||||||
\(978\) | −7035.26 | + | 48.0387i | −0.230023 | + | 0.00157066i | ||||
\(979\) | − | 32429.3i | − | 1.05868i | ||||||
\(980\) | −11970.1 | + | 8126.31i | −0.390176 | + | 0.264883i | ||||
\(981\) | −17176.1 | − | 28833.3i | −0.559012 | − | 0.938405i | ||||
\(982\) | 1372.36 | + | 2376.99i | 0.0445964 | + | 0.0772433i | ||||
\(983\) | 7276.53 | − | 12603.3i | 0.236099 | − | 0.408935i | −0.723493 | − | 0.690332i | \(-0.757464\pi\) |
0.959591 | + | 0.281397i | \(0.0907977\pi\) | |||||||
\(984\) | −2268.86 | − | 3868.53i | −0.0735046 | − | 0.125329i | ||||
\(985\) | 29475.4 | − | 17017.6i | 0.953465 | − | 0.550483i | ||||
\(986\) | 24900.1 | 0.804239 | ||||||||
\(987\) | −22717.0 | − | 5045.74i | −0.732614 | − | 0.162723i | ||||
\(988\) | 10895.7 | 0.350850 | ||||||||
\(989\) | −10754.0 | + | 6208.81i | −0.345760 | + | 0.199624i | ||||
\(990\) | 17549.0 | − | 239.670i | 0.563379 | − | 0.00769416i | ||||
\(991\) | 16550.0 | − | 28665.4i | 0.530503 | − | 0.918857i | −0.468864 | − | 0.883270i | \(-0.655337\pi\) |
0.999367 | − | 0.0355870i | \(-0.0113301\pi\) | |||||||
\(992\) | 2678.23 | + | 4638.82i | 0.0857195 | + | 0.148471i | ||||
\(993\) | −8007.28 | − | 4550.39i | −0.255894 | − | 0.145420i | ||||
\(994\) | 2013.30 | + | 1871.80i | 0.0642435 | + | 0.0597282i | ||||
\(995\) | 29208.7i | 0.930631i | ||||||||
\(996\) | 57.7044 | + | 8450.82i | 0.00183578 | + | 0.268850i | ||||
\(997\) | 43647.5 | + | 25199.9i | 1.38649 | + | 0.800491i | 0.992918 | − | 0.118803i | \(-0.0379055\pi\) |
0.393573 | + | 0.919293i | \(0.371239\pi\) | |||||||
\(998\) | −15895.9 | − | 9177.51i | −0.504184 | − | 0.291091i | ||||
\(999\) | 46033.7 | − | 27850.1i | 1.45790 | − | 0.882020i |
(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 | 42.4.f.a.17.4 | yes | 16 | |
3.2 | odd | 2 | inner | 42.4.f.a.17.6 | yes | 16 | |
4.3 | odd | 2 | 336.4.bc.e.17.2 | 16 | |||
7.2 | even | 3 | 294.4.f.a.215.7 | 16 | |||
7.3 | odd | 6 | 294.4.d.a.293.7 | 16 | |||
7.4 | even | 3 | 294.4.d.a.293.2 | 16 | |||
7.5 | odd | 6 | inner | 42.4.f.a.5.6 | yes | 16 | |
7.6 | odd | 2 | 294.4.f.a.227.1 | 16 | |||
12.11 | even | 2 | 336.4.bc.e.17.5 | 16 | |||
21.2 | odd | 6 | 294.4.f.a.215.1 | 16 | |||
21.5 | even | 6 | inner | 42.4.f.a.5.4 | ✓ | 16 | |
21.11 | odd | 6 | 294.4.d.a.293.15 | 16 | |||
21.17 | even | 6 | 294.4.d.a.293.10 | 16 | |||
21.20 | even | 2 | 294.4.f.a.227.7 | 16 | |||
28.19 | even | 6 | 336.4.bc.e.257.5 | 16 | |||
84.47 | odd | 6 | 336.4.bc.e.257.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.4.f.a.5.4 | ✓ | 16 | 21.5 | even | 6 | inner | |
42.4.f.a.5.6 | yes | 16 | 7.5 | odd | 6 | inner | |
42.4.f.a.17.4 | yes | 16 | 1.1 | even | 1 | trivial | |
42.4.f.a.17.6 | yes | 16 | 3.2 | odd | 2 | inner | |
294.4.d.a.293.2 | 16 | 7.4 | even | 3 | |||
294.4.d.a.293.7 | 16 | 7.3 | odd | 6 | |||
294.4.d.a.293.10 | 16 | 21.17 | even | 6 | |||
294.4.d.a.293.15 | 16 | 21.11 | odd | 6 | |||
294.4.f.a.215.1 | 16 | 21.2 | odd | 6 | |||
294.4.f.a.215.7 | 16 | 7.2 | even | 3 | |||
294.4.f.a.227.1 | 16 | 7.6 | odd | 2 | |||
294.4.f.a.227.7 | 16 | 21.20 | even | 2 | |||
336.4.bc.e.17.2 | 16 | 4.3 | odd | 2 | |||
336.4.bc.e.17.5 | 16 | 12.11 | even | 2 | |||
336.4.bc.e.257.2 | 16 | 84.47 | odd | 6 | |||
336.4.bc.e.257.5 | 16 | 28.19 | even | 6 |