Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,6,Mod(59,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.59");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.h (of order \(2\), degree \(1\), 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: | \(9.62302918878\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.9 | ||
Character | \(\chi\) | \(=\) | 60.59 |
Dual form | 60.6.h.c.59.11 |
$q$-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 \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.16295 | − | 3.83012i | −0.735913 | − | 0.677076i | ||||
\(3\) | −7.28769 | − | 13.7800i | −0.467505 | − | 0.883990i | ||||
\(4\) | 2.66035 | + | 31.8892i | 0.0831359 | + | 0.996538i | ||||
\(5\) | 45.7166 | − | 32.1713i | 0.817803 | − | 0.575498i | ||||
\(6\) | −22.4409 | + | 85.2784i | −0.254485 | + | 0.967077i | ||||
\(7\) | 213.200 | 1.64453 | 0.822267 | − | 0.569102i | \(-0.192709\pi\) | ||||
0.822267 | + | 0.569102i | \(0.192709\pi\) | |||||||
\(8\) | 111.065 | − | 142.943i | 0.613551 | − | 0.789655i | ||||
\(9\) | −136.779 | + | 200.849i | −0.562878 | + | 0.826540i | ||||
\(10\) | −313.536 | − | 41.1725i | −0.991488 | − | 0.130199i | ||||
\(11\) | 602.418 | 1.50112 | 0.750562 | − | 0.660800i | \(-0.229783\pi\) | ||||
0.750562 | + | 0.660800i | \(0.229783\pi\) | |||||||
\(12\) | 420.047 | − | 269.058i | 0.842064 | − | 0.539378i | ||||
\(13\) | − | 333.571i | − | 0.547432i | −0.961811 | − | 0.273716i | \(-0.911747\pi\) | ||
0.961811 | − | 0.273716i | \(-0.0882528\pi\) | |||||||
\(14\) | −887.543 | − | 816.583i | −1.21023 | − | 1.11347i | ||||
\(15\) | −776.490 | − | 395.523i | −0.891062 | − | 0.453882i | ||||
\(16\) | −1009.85 | + | 169.673i | −0.986177 | + | 0.165696i | ||||
\(17\) | −831.684 | −0.697969 | −0.348985 | − | 0.937128i | \(-0.613473\pi\) | ||||
−0.348985 | + | 0.937128i | \(0.613473\pi\) | |||||||
\(18\) | 1338.68 | − | 312.245i | 0.973860 | − | 0.227151i | ||||
\(19\) | 1073.73i | 0.682357i | 0.939998 | + | 0.341179i | \(0.110826\pi\) | ||||
−0.939998 | + | 0.341179i | \(0.889174\pi\) | |||||||
\(20\) | 1147.54 | + | 1372.28i | 0.641494 | + | 0.767128i | ||||
\(21\) | −1553.74 | − | 2937.91i | −0.768828 | − | 1.45375i | ||||
\(22\) | −2507.84 | − | 2307.34i | −1.10470 | − | 1.01638i | ||||
\(23\) | − | 2991.04i | − | 1.17897i | −0.807780 | − | 0.589484i | \(-0.799331\pi\) | ||
0.807780 | − | 0.589484i | \(-0.200669\pi\) | |||||||
\(24\) | −2779.16 | − | 488.754i | −0.984886 | − | 0.173206i | ||||
\(25\) | 1055.02 | − | 2941.52i | 0.337605 | − | 0.941288i | ||||
\(26\) | −1277.62 | + | 1388.64i | −0.370653 | + | 0.402862i | ||||
\(27\) | 3764.52 | + | 421.098i | 0.993802 | + | 0.111166i | ||||
\(28\) | 567.187 | + | 6798.79i | 0.136720 | + | 1.63884i | ||||
\(29\) | − | 2592.39i | − | 0.572408i | −0.958169 | − | 0.286204i | \(-0.907606\pi\) | ||
0.958169 | − | 0.286204i | \(-0.0923935\pi\) | |||||||
\(30\) | 1717.59 | + | 4620.59i | 0.348431 | + | 0.937334i | ||||
\(31\) | 2392.42i | 0.447130i | 0.974689 | + | 0.223565i | \(0.0717695\pi\) | ||||
−0.974689 | + | 0.223565i | \(0.928230\pi\) | |||||||
\(32\) | 4853.81 | + | 3161.49i | 0.837929 | + | 0.545779i | ||||
\(33\) | −4390.24 | − | 8301.35i | −0.701783 | − | 1.32698i | ||||
\(34\) | 3462.26 | + | 3185.45i | 0.513645 | + | 0.472578i | ||||
\(35\) | 9746.79 | − | 6858.93i | 1.34491 | − | 0.946425i | ||||
\(36\) | −6768.81 | − | 3827.46i | −0.870474 | − | 0.492214i | ||||
\(37\) | 9661.71i | 1.16024i | 0.814529 | + | 0.580122i | \(0.196995\pi\) | ||||
−0.814529 | + | 0.580122i | \(0.803005\pi\) | |||||||
\(38\) | 4112.52 | − | 4469.89i | 0.462008 | − | 0.502156i | ||||
\(39\) | −4596.62 | + | 2430.96i | −0.483924 | + | 0.255927i | ||||
\(40\) | 478.845 | − | 10108.0i | 0.0473200 | − | 0.998880i | ||||
\(41\) | 669.090i | 0.0621620i | 0.999517 | + | 0.0310810i | \(0.00989499\pi\) | ||||
−0.999517 | + | 0.0310810i | \(0.990105\pi\) | |||||||
\(42\) | −4784.42 | + | 18181.4i | −0.418510 | + | 1.59039i | ||||
\(43\) | −1843.89 | −0.152077 | −0.0760387 | − | 0.997105i | \(-0.524227\pi\) | ||||
−0.0760387 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(44\) | 1602.64 | + | 19210.7i | 0.124797 | + | 1.49593i | ||||
\(45\) | 208.498 | + | 13582.5i | 0.0153487 | + | 0.999882i | ||||
\(46\) | −11456.0 | + | 12451.5i | −0.798251 | + | 0.867618i | ||||
\(47\) | − | 14049.5i | − | 0.927717i | −0.885909 | − | 0.463859i | \(-0.846465\pi\) | ||
0.885909 | − | 0.463859i | \(-0.153535\pi\) | |||||||
\(48\) | 9697.53 | + | 12679.2i | 0.607517 | + | 0.794307i | ||||
\(49\) | 28647.4 | 1.70449 | ||||||||
\(50\) | −15658.4 | + | 8204.59i | −0.885771 | + | 0.464122i | ||||
\(51\) | 6061.05 | + | 11460.6i | 0.326304 | + | 0.616998i | ||||
\(52\) | 10637.3 | − | 887.415i | 0.545537 | − | 0.0455112i | ||||
\(53\) | −29792.9 | −1.45688 | −0.728438 | − | 0.685112i | \(-0.759753\pi\) | ||||
−0.728438 | + | 0.685112i | \(0.759753\pi\) | |||||||
\(54\) | −14058.6 | − | 16171.6i | −0.656084 | − | 0.754688i | ||||
\(55\) | 27540.5 | − | 19380.6i | 1.22762 | − | 0.863893i | ||||
\(56\) | 23679.0 | − | 30475.4i | 1.00901 | − | 1.29861i | ||||
\(57\) | 14796.1 | − | 7825.02i | 0.603197 | − | 0.319006i | ||||
\(58\) | −9929.18 | + | 10792.0i | −0.387564 | + | 0.421243i | ||||
\(59\) | 20190.0 | 0.755102 | 0.377551 | − | 0.925989i | \(-0.376766\pi\) | ||||
0.377551 | + | 0.925989i | \(0.376766\pi\) | |||||||
\(60\) | 10547.2 | − | 25813.9i | 0.378232 | − | 0.925711i | ||||
\(61\) | −16877.6 | −0.580744 | −0.290372 | − | 0.956914i | \(-0.593779\pi\) | ||||
−0.290372 | + | 0.956914i | \(0.593779\pi\) | |||||||
\(62\) | 9163.27 | − | 9959.55i | 0.302741 | − | 0.329049i | ||||
\(63\) | −29161.4 | + | 42821.1i | −0.925671 | + | 1.35927i | ||||
\(64\) | −8097.28 | − | 31751.8i | −0.247109 | − | 0.968988i | ||||
\(65\) | −10731.4 | − | 15249.7i | −0.315046 | − | 0.447692i | ||||
\(66\) | −13518.8 | + | 51373.3i | −0.382014 | + | 1.45170i | ||||
\(67\) | −869.004 | −0.0236502 | −0.0118251 | − | 0.999930i | \(-0.503764\pi\) | ||||
−0.0118251 | + | 0.999930i | \(0.503764\pi\) | |||||||
\(68\) | −2212.57 | − | 26521.8i | −0.0580263 | − | 0.695553i | ||||
\(69\) | −41216.6 | + | 21797.7i | −1.04220 | + | 0.551174i | ||||
\(70\) | −66846.0 | − | 8778.00i | −1.63053 | − | 0.214117i | ||||
\(71\) | −35858.0 | −0.844190 | −0.422095 | − | 0.906552i | \(-0.638705\pi\) | ||||
−0.422095 | + | 0.906552i | \(0.638705\pi\) | |||||||
\(72\) | 13518.6 | + | 41858.9i | 0.307327 | + | 0.951604i | ||||
\(73\) | − | 37187.5i | − | 0.816751i | −0.912814 | − | 0.408375i | \(-0.866095\pi\) | ||
0.912814 | − | 0.408375i | \(-0.133905\pi\) | |||||||
\(74\) | 37005.5 | − | 40221.2i | 0.785574 | − | 0.853839i | ||||
\(75\) | −48223.0 | + | 6898.75i | −0.989921 | + | 0.141618i | ||||
\(76\) | −34240.5 | + | 2856.50i | −0.679995 | + | 0.0567284i | ||||
\(77\) | 128436. | 2.46865 | ||||||||
\(78\) | 28446.4 | + | 7485.65i | 0.529408 | + | 0.139313i | ||||
\(79\) | − | 20977.8i | − | 0.378175i | −0.981960 | − | 0.189087i | \(-0.939447\pi\) | ||
0.981960 | − | 0.189087i | \(-0.0605530\pi\) | |||||||
\(80\) | −40708.1 | + | 40244.9i | −0.711141 | + | 0.703049i | ||||
\(81\) | −21631.9 | − | 54944.0i | −0.366338 | − | 0.930482i | ||||
\(82\) | 2562.70 | − | 2785.39i | 0.0420884 | − | 0.0457458i | ||||
\(83\) | − | 18649.3i | − | 0.297144i | −0.988902 | − | 0.148572i | \(-0.952532\pi\) | ||
0.988902 | − | 0.148572i | \(-0.0474677\pi\) | |||||||
\(84\) | 89554.2 | − | 57363.3i | 1.38480 | − | 0.887025i | ||||
\(85\) | −38021.8 | + | 26756.4i | −0.570801 | + | 0.401680i | ||||
\(86\) | 7676.04 | + | 7062.33i | 0.111916 | + | 0.102968i | ||||
\(87\) | −35723.3 | + | 18892.5i | −0.506003 | + | 0.267604i | ||||
\(88\) | 66907.4 | − | 86111.4i | 0.921017 | − | 1.18537i | ||||
\(89\) | 29888.4i | 0.399970i | 0.979799 | + | 0.199985i | \(0.0640894\pi\) | ||||
−0.979799 | + | 0.199985i | \(0.935911\pi\) | |||||||
\(90\) | 51154.7 | − | 57341.9i | 0.665701 | − | 0.746219i | ||||
\(91\) | − | 71117.4i | − | 0.900270i | ||||||
\(92\) | 95381.8 | − | 7957.20i | 1.17489 | − | 0.0980146i | ||||
\(93\) | 32967.7 | − | 17435.2i | 0.395259 | − | 0.209036i | ||||
\(94\) | −53811.2 | + | 58487.3i | −0.628135 | + | 0.682719i | ||||
\(95\) | 34543.3 | + | 49087.4i | 0.392695 | + | 0.558034i | ||||
\(96\) | 8192.44 | − | 89925.6i | 0.0907267 | − | 0.995876i | ||||
\(97\) | 169601.i | 1.83020i | 0.403225 | + | 0.915101i | \(0.367889\pi\) | ||||
−0.403225 | + | 0.915101i | \(0.632111\pi\) | |||||||
\(98\) | −119258. | − | 109723.i | −1.25436 | − | 1.15407i | ||||
\(99\) | −82398.3 | + | 120995.i | −0.844949 | + | 1.24074i | ||||
\(100\) | 96609.6 | + | 25818.1i | 0.966096 | + | 0.258181i | ||||
\(101\) | 128098.i | 1.24951i | 0.780821 | + | 0.624755i | \(0.214801\pi\) | ||||
−0.780821 | + | 0.624755i | \(0.785199\pi\) | |||||||
\(102\) | 18663.8 | − | 70924.7i | 0.177623 | − | 0.674990i | ||||
\(103\) | 8979.24 | 0.0833963 | 0.0416981 | − | 0.999130i | \(-0.486723\pi\) | ||||
0.0416981 | + | 0.999130i | \(0.486723\pi\) | |||||||
\(104\) | −47681.6 | − | 37048.0i | −0.432282 | − | 0.335877i | ||||
\(105\) | −165548. | − | 84325.5i | −1.46538 | − | 0.746424i | ||||
\(106\) | 124026. | + | 114110.i | 1.07213 | + | 0.986415i | ||||
\(107\) | 144989.i | 1.22426i | 0.790756 | + | 0.612132i | \(0.209688\pi\) | ||||
−0.790756 | + | 0.612132i | \(0.790312\pi\) | |||||||
\(108\) | −3413.56 | + | 121168.i | −0.0281610 | + | 0.999603i | ||||
\(109\) | 193417. | 1.55929 | 0.779647 | − | 0.626219i | \(-0.215398\pi\) | ||||
0.779647 | + | 0.626219i | \(0.215398\pi\) | |||||||
\(110\) | −188880. | − | 24803.1i | −1.48835 | − | 0.195445i | ||||
\(111\) | 133139. | − | 70411.5i | 1.02565 | − | 0.542421i | ||||
\(112\) | −215299. | + | 36174.3i | −1.62180 | + | 0.272493i | ||||
\(113\) | −74646.7 | −0.549939 | −0.274969 | − | 0.961453i | \(-0.588668\pi\) | ||||
−0.274969 | + | 0.961453i | \(0.588668\pi\) | |||||||
\(114\) | −91566.1 | − | 24095.6i | −0.659892 | − | 0.173650i | ||||
\(115\) | −96225.5 | − | 136740.i | −0.678493 | − | 0.964164i | ||||
\(116\) | 82669.4 | − | 6896.67i | 0.570427 | − | 0.0475877i | ||||
\(117\) | 66997.5 | + | 45625.6i | 0.452474 | + | 0.308137i | ||||
\(118\) | −84049.9 | − | 77330.0i | −0.555690 | − | 0.511262i | ||||
\(119\) | −177315. | −1.14783 | ||||||||
\(120\) | −142778. | + | 67065.1i | −0.905122 | + | 0.425151i | ||||
\(121\) | 201857. | 1.25337 | ||||||||
\(122\) | 70260.5 | + | 64643.1i | 0.427377 | + | 0.393208i | ||||
\(123\) | 9220.09 | − | 4876.12i | 0.0549506 | − | 0.0290611i | ||||
\(124\) | −76292.6 | + | 6364.68i | −0.445582 | + | 0.0371726i | ||||
\(125\) | −46400.9 | − | 168418.i | −0.265614 | − | 0.964079i | ||||
\(126\) | 285408. | − | 66570.7i | 1.60154 | − | 0.373557i | ||||
\(127\) | 193294. | 1.06343 | 0.531716 | − | 0.846923i | \(-0.321547\pi\) | ||||
0.531716 | + | 0.846923i | \(0.321547\pi\) | |||||||
\(128\) | −87904.6 | + | 163195.i | −0.474227 | + | 0.880402i | ||||
\(129\) | 13437.7 | + | 25408.9i | 0.0710970 | + | 0.134435i | ||||
\(130\) | −13734.0 | + | 104587.i | −0.0712750 | + | 0.542772i | ||||
\(131\) | 13699.3 | 0.0697464 | 0.0348732 | − | 0.999392i | \(-0.488897\pi\) | ||||
0.0348732 | + | 0.999392i | \(0.488897\pi\) | |||||||
\(132\) | 253044. | − | 162086.i | 1.26404 | − | 0.809673i | ||||
\(133\) | 228920.i | 1.12216i | ||||||||
\(134\) | 3617.62 | + | 3328.39i | 0.0174045 | + | 0.0160130i | ||||
\(135\) | 185648. | − | 101858.i | 0.876711 | − | 0.481018i | ||||
\(136\) | −92370.7 | + | 118883.i | −0.428240 | + | 0.551155i | ||||
\(137\) | −88057.3 | −0.400833 | −0.200417 | − | 0.979711i | \(-0.564230\pi\) | ||||
−0.200417 | + | 0.979711i | \(0.564230\pi\) | |||||||
\(138\) | 255071. | + | 67121.7i | 1.14015 | + | 0.300030i | ||||
\(139\) | 313513.i | 1.37632i | 0.725561 | + | 0.688158i | \(0.241580\pi\) | ||||
−0.725561 | + | 0.688158i | \(0.758420\pi\) | |||||||
\(140\) | 244656. | + | 292571.i | 1.05496 | + | 1.26157i | ||||
\(141\) | −193602. | + | 102388.i | −0.820093 | + | 0.433713i | ||||
\(142\) | 149275. | + | 137340.i | 0.621250 | + | 0.571581i | ||||
\(143\) | − | 200949.i | − | 0.821763i | ||||||
\(144\) | 104047. | − | 226034.i | 0.418142 | − | 0.908382i | ||||
\(145\) | −83400.6 | − | 118515.i | −0.329420 | − | 0.468117i | ||||
\(146\) | −142433. | + | 154810.i | −0.553003 | + | 0.601058i | ||||
\(147\) | −208773. | − | 394762.i | −0.796858 | − | 1.50675i | ||||
\(148\) | −308104. | + | 25703.5i | −1.15623 | + | 0.0964580i | ||||
\(149\) | 96488.9i | 0.356051i | 0.984026 | + | 0.178025i | \(0.0569709\pi\) | ||||
−0.984026 | + | 0.178025i | \(0.943029\pi\) | |||||||
\(150\) | 227173. | + | 155981.i | 0.824382 | + | 0.566034i | ||||
\(151\) | − | 74043.5i | − | 0.264268i | −0.991232 | − | 0.132134i | \(-0.957817\pi\) | ||
0.991232 | − | 0.132134i | \(-0.0421829\pi\) | |||||||
\(152\) | 153482. | + | 119254.i | 0.538827 | + | 0.418661i | ||||
\(153\) | 113757. | − | 167043.i | 0.392871 | − | 0.576900i | ||||
\(154\) | −534672. | − | 491925.i | −1.81671 | − | 1.67146i | ||||
\(155\) | 76967.4 | + | 109374.i | 0.257322 | + | 0.365665i | ||||
\(156\) | −89750.1 | − | 140116.i | −0.295273 | − | 0.460972i | ||||
\(157\) | − | 470482.i | − | 1.52333i | −0.647971 | − | 0.761665i | \(-0.724382\pi\) | ||
0.647971 | − | 0.761665i | \(-0.275618\pi\) | |||||||
\(158\) | −80347.6 | + | 87329.7i | −0.256053 | + | 0.278304i | ||||
\(159\) | 217121. | + | 410547.i | 0.681097 | + | 1.28786i | ||||
\(160\) | 323609. | − | 11620.7i | 0.999356 | − | 0.0358866i | ||||
\(161\) | − | 637690.i | − | 1.93885i | ||||||
\(162\) | −120390. | + | 311582.i | −0.360415 | + | 0.932792i | ||||
\(163\) | 391479. | 1.15409 | 0.577045 | − | 0.816713i | \(-0.304206\pi\) | ||||
0.577045 | + | 0.816713i | \(0.304206\pi\) | |||||||
\(164\) | −21336.8 | + | 1780.01i | −0.0619468 | + | 0.00516790i | ||||
\(165\) | −467772. | − | 238270.i | −1.33759 | − | 0.681333i | ||||
\(166\) | −71429.1 | + | 77636.2i | −0.201189 | + | 0.218672i | ||||
\(167\) | 45543.0i | 0.126366i | 0.998002 | + | 0.0631831i | \(0.0201252\pi\) | ||||
−0.998002 | + | 0.0631831i | \(0.979875\pi\) | |||||||
\(168\) | −592518. | − | 104202.i | −1.61968 | − | 0.284843i | ||||
\(169\) | 260023. | 0.700319 | ||||||||
\(170\) | 260763. | + | 34242.5i | 0.692028 | + | 0.0908749i | ||||
\(171\) | −215658. | − | 146864.i | −0.563996 | − | 0.384084i | ||||
\(172\) | −4905.40 | − | 58800.3i | −0.0126431 | − | 0.151551i | ||||
\(173\) | −77174.4 | −0.196046 | −0.0980231 | − | 0.995184i | \(-0.531252\pi\) | ||||
−0.0980231 | + | 0.995184i | \(0.531252\pi\) | |||||||
\(174\) | 221075. | + | 58175.8i | 0.553563 | + | 0.145670i | ||||
\(175\) | 224930. | − | 627134.i | 0.555203 | − | 1.54798i | ||||
\(176\) | −608349. | + | 102214.i | −1.48037 | + | 0.248731i | ||||
\(177\) | −147138. | − | 278219.i | −0.353014 | − | 0.667503i | ||||
\(178\) | 114476. | − | 124424.i | 0.270810 | − | 0.294343i | ||||
\(179\) | −270299. | −0.630540 | −0.315270 | − | 0.949002i | \(-0.602095\pi\) | ||||
−0.315270 | + | 0.949002i | \(0.602095\pi\) | |||||||
\(180\) | −432581. | + | 42783.1i | −0.995145 | + | 0.0984217i | ||||
\(181\) | −645930. | −1.46551 | −0.732755 | − | 0.680492i | \(-0.761766\pi\) | ||||
−0.732755 | + | 0.680492i | \(0.761766\pi\) | |||||||
\(182\) | −272388. | + | 296059.i | −0.609551 | + | 0.662520i | ||||
\(183\) | 122998. | + | 232574.i | 0.271501 | + | 0.513372i | ||||
\(184\) | −427547. | − | 332198.i | −0.930978 | − | 0.723357i | ||||
\(185\) | 310830. | + | 441700.i | 0.667718 | + | 0.948852i | ||||
\(186\) | −204022. | − | 53688.3i | −0.432409 | − | 0.113788i | ||||
\(187\) | −501022. | −1.04774 | ||||||||
\(188\) | 448027. | − | 37376.5i | 0.924506 | − | 0.0771266i | ||||
\(189\) | 802596. | + | 89778.2i | 1.63434 | + | 0.182817i | ||||
\(190\) | 44208.3 | − | 336654.i | 0.0888422 | − | 0.676549i | ||||
\(191\) | 743338. | 1.47436 | 0.737179 | − | 0.675698i | \(-0.236158\pi\) | ||||
0.737179 | + | 0.675698i | \(0.236158\pi\) | |||||||
\(192\) | −378531. | + | 342978.i | −0.741051 | + | 0.671449i | ||||
\(193\) | 237480.i | 0.458917i | 0.973318 | + | 0.229458i | \(0.0736955\pi\) | ||||
−0.973318 | + | 0.229458i | \(0.926305\pi\) | |||||||
\(194\) | 649592. | − | 706041.i | 1.23919 | − | 1.34687i | ||||
\(195\) | −131935. | + | 259015.i | −0.248469 | + | 0.487795i | ||||
\(196\) | 76212.0 | + | 913542.i | 0.141704 | + | 1.69859i | ||||
\(197\) | −514604. | −0.944731 | −0.472365 | − | 0.881403i | \(-0.656600\pi\) | ||||
−0.472365 | + | 0.881403i | \(0.656600\pi\) | |||||||
\(198\) | 806447. | − | 188102.i | 1.46188 | − | 0.340981i | ||||
\(199\) | − | 235852.i | − | 0.422189i | −0.977466 | − | 0.211095i | \(-0.932297\pi\) | ||
0.977466 | − | 0.211095i | \(-0.0677028\pi\) | |||||||
\(200\) | −303295. | − | 477506.i | −0.536154 | − | 0.844120i | ||||
\(201\) | 6333.03 | + | 11974.9i | 0.0110566 | + | 0.0209065i | ||||
\(202\) | 490632. | − | 533267.i | 0.846013 | − | 0.919531i | ||||
\(203\) | − | 552699.i | − | 0.941344i | ||||||
\(204\) | −349347. | + | 223772.i | −0.587734 | + | 0.376469i | ||||
\(205\) | 21525.5 | + | 30588.5i | 0.0357741 | + | 0.0508363i | ||||
\(206\) | −37380.2 | − | 34391.6i | −0.0613724 | − | 0.0564656i | ||||
\(207\) | 600747. | + | 409112.i | 0.974464 | + | 0.663615i | ||||
\(208\) | 56598.0 | + | 336855.i | 0.0907074 | + | 0.539864i | ||||
\(209\) | 646836.i | 1.02430i | ||||||||
\(210\) | 366191. | + | 985112.i | 0.573007 | + | 1.54148i | ||||
\(211\) | 1.26920e6i | 1.96256i | 0.192579 | + | 0.981281i | \(0.438315\pi\) | ||||
−0.192579 | + | 0.981281i | \(0.561685\pi\) | |||||||
\(212\) | −79259.4 | − | 950071.i | −0.121119 | − | 1.45183i | ||||
\(213\) | 261322. | + | 494125.i | 0.394663 | + | 0.746255i | ||||
\(214\) | 555325. | − | 603582.i | 0.828920 | − | 0.900952i | ||||
\(215\) | −84296.5 | + | 59320.4i | −0.124369 | + | 0.0875201i | ||||
\(216\) | 478298. | − | 491341.i | 0.697532 | − | 0.716554i | ||||
\(217\) | 510066.i | 0.735321i | ||||||||
\(218\) | −805185. | − | 740810.i | −1.14751 | − | 1.05576i | ||||
\(219\) | −512445. | + | 271011.i | −0.722000 | + | 0.381835i | ||||
\(220\) | 691299. | + | 826687.i | 0.962962 | + | 1.15155i | ||||
\(221\) | 277426.i | 0.382090i | ||||||||
\(222\) | −823935. | − | 216818.i | −1.12205 | − | 0.295265i | ||||
\(223\) | −704085. | −0.948119 | −0.474060 | − | 0.880493i | \(-0.657212\pi\) | ||||
−0.474060 | + | 0.880493i | \(0.657212\pi\) | |||||||
\(224\) | 1.03483e6 | + | 674030.i | 1.37800 | + | 0.897551i | ||||
\(225\) | 446499. | + | 614239.i | 0.587982 | + | 0.808874i | ||||
\(226\) | 310751. | + | 285906.i | 0.404707 | + | 0.372350i | ||||
\(227\) | 87289.6i | 0.112434i | 0.998419 | + | 0.0562170i | \(0.0179039\pi\) | ||||
−0.998419 | + | 0.0562170i | \(0.982096\pi\) | |||||||
\(228\) | 288897. | + | 451018.i | 0.368049 | + | 0.574588i | ||||
\(229\) | 610681. | 0.769531 | 0.384765 | − | 0.923014i | \(-0.374282\pi\) | ||||
0.384765 | + | 0.923014i | \(0.374282\pi\) | |||||||
\(230\) | −123148. | + | 937797.i | −0.153500 | + | 1.16893i | ||||
\(231\) | −936000. | − | 1.76985e6i | −1.15411 | − | 2.18226i | ||||
\(232\) | −370564. | − | 287923.i | −0.452005 | − | 0.351202i | ||||
\(233\) | 778126. | 0.938988 | 0.469494 | − | 0.882936i | \(-0.344436\pi\) | ||||
0.469494 | + | 0.882936i | \(0.344436\pi\) | |||||||
\(234\) | −104156. | − | 446546.i | −0.124350 | − | 0.533122i | ||||
\(235\) | −451990. | − | 642295.i | −0.533899 | − | 0.758690i | ||||
\(236\) | 53712.4 | + | 643843.i | 0.0627761 | + | 0.752488i | ||||
\(237\) | −289075. | + | 152880.i | −0.334303 | + | 0.176799i | ||||
\(238\) | 738155. | + | 679139.i | 0.844706 | + | 0.777171i | ||||
\(239\) | −49371.4 | −0.0559088 | −0.0279544 | − | 0.999609i | \(-0.508899\pi\) | ||||
−0.0279544 | + | 0.999609i | \(0.508899\pi\) | |||||||
\(240\) | 851244. | + | 267667.i | 0.953951 | + | 0.299962i | ||||
\(241\) | −447151. | −0.495920 | −0.247960 | − | 0.968770i | \(-0.579760\pi\) | ||||
−0.247960 | + | 0.968770i | \(0.579760\pi\) | |||||||
\(242\) | −840321. | − | 773136.i | −0.922373 | − | 0.848629i | ||||
\(243\) | −599485. | + | 698503.i | −0.651272 | + | 0.758844i | ||||
\(244\) | −44900.2 | − | 538212.i | −0.0482807 | − | 0.578734i | ||||
\(245\) | 1.30966e6 | − | 921623.i | 1.39394 | − | 0.980930i | ||||
\(246\) | −57058.9 | − | 15015.0i | −0.0601154 | − | 0.0158193i | ||||
\(247\) | 358166. | 0.373544 | ||||||||
\(248\) | 341980. | + | 265714.i | 0.353079 | + | 0.274337i | ||||
\(249\) | −256988. | + | 135910.i | −0.262673 | + | 0.138917i | ||||
\(250\) | −451895. | + | 878836.i | −0.457286 | + | 0.889320i | ||||
\(251\) | −831546. | −0.833109 | −0.416555 | − | 0.909111i | \(-0.636762\pi\) | ||||
−0.416555 | + | 0.909111i | \(0.636762\pi\) | |||||||
\(252\) | −1.44311e6 | − | 816015.i | −1.43152 | − | 0.809462i | ||||
\(253\) | − | 1.80185e6i | − | 1.76978i | ||||||
\(254\) | −804675. | − | 740341.i | −0.782594 | − | 0.720025i | ||||
\(255\) | 645795. | + | 328950.i | 0.621934 | + | 0.316796i | ||||
\(256\) | 990998. | − | 342687.i | 0.945090 | − | 0.326812i | ||||
\(257\) | −969774. | −0.915878 | −0.457939 | − | 0.888983i | \(-0.651412\pi\) | ||||
−0.457939 | + | 0.888983i | \(0.651412\pi\) | |||||||
\(258\) | 41378.7 | − | 157244.i | 0.0387015 | − | 0.147070i | ||||
\(259\) | 2.05988e6i | 1.90806i | ||||||||
\(260\) | 457753. | − | 382786.i | 0.419950 | − | 0.351174i | ||||
\(261\) | 520680. | + | 354586.i | 0.473118 | + | 0.322196i | ||||
\(262\) | −57029.7 | − | 52470.1i | −0.0513272 | − | 0.0472236i | ||||
\(263\) | 1.63703e6i | 1.45938i | 0.683780 | + | 0.729688i | \(0.260335\pi\) | ||||
−0.683780 | + | 0.729688i | \(0.739665\pi\) | |||||||
\(264\) | −1.67422e6 | − | 294434.i | −1.47844 | − | 0.260003i | ||||
\(265\) | −1.36203e6 | + | 958475.i | −1.19144 | + | 0.838428i | ||||
\(266\) | 876791. | − | 952983.i | 0.759787 | − | 0.825812i | ||||
\(267\) | 411863. | − | 217817.i | 0.353570 | − | 0.186988i | ||||
\(268\) | −2311.85 | − | 27711.9i | −0.00196618 | − | 0.0235683i | ||||
\(269\) | 427244.i | 0.359994i | 0.983667 | + | 0.179997i | \(0.0576088\pi\) | ||||
−0.983667 | + | 0.179997i | \(0.942391\pi\) | |||||||
\(270\) | −1.16297e6 | − | 287024.i | −0.970869 | − | 0.239612i | ||||
\(271\) | − | 68116.6i | − | 0.0563417i | −0.999603 | − | 0.0281709i | \(-0.991032\pi\) | ||
0.999603 | − | 0.0281709i | \(-0.00896825\pi\) | |||||||
\(272\) | 839872. | − | 141114.i | 0.688321 | − | 0.115651i | ||||
\(273\) | −980001. | + | 518282.i | −0.795830 | + | 0.420881i | ||||
\(274\) | 366578. | + | 337270.i | 0.294979 | + | 0.271395i | ||||
\(275\) | 635561. | − | 1.77203e6i | 0.506787 | − | 1.41299i | ||||
\(276\) | −804763. | − | 1.25638e6i | −0.635910 | − | 0.992766i | ||||
\(277\) | − | 534093.i | − | 0.418232i | −0.977891 | − | 0.209116i | \(-0.932941\pi\) | ||
0.977891 | − | 0.209116i | \(-0.0670586\pi\) | |||||||
\(278\) | 1.20079e6 | − | 1.30514e6i | 0.931870 | − | 1.01285i | ||||
\(279\) | −480517. | − | 327234.i | −0.369571 | − | 0.251680i | ||||
\(280\) | 102090. | − | 2.15502e6i | 0.0778193 | − | 1.64269i | ||||
\(281\) | − | 146027.i | − | 0.110323i | −0.998477 | − | 0.0551616i | \(-0.982433\pi\) | ||
0.998477 | − | 0.0551616i | \(-0.0175674\pi\) | |||||||
\(282\) | 1.19812e6 | + | 315284.i | 0.897174 | + | 0.236091i | ||||
\(283\) | −1.45464e6 | −1.07966 | −0.539831 | − | 0.841773i | \(-0.681512\pi\) | ||||
−0.539831 | + | 0.841773i | \(0.681512\pi\) | |||||||
\(284\) | −95394.8 | − | 1.14348e6i | −0.0701825 | − | 0.841267i | ||||
\(285\) | 424685. | − | 833742.i | 0.309710 | − | 0.608022i | ||||
\(286\) | −769660. | + | 836542.i | −0.556396 | + | 0.604746i | ||||
\(287\) | 142650.i | 0.102228i | ||||||||
\(288\) | −1.29888e6 | + | 542457.i | −0.922760 | + | 0.385376i | ||||
\(289\) | −728158. | −0.512839 | ||||||||
\(290\) | −106735. | + | 812809.i | −0.0745270 | + | 0.567536i | ||||
\(291\) | 2.33711e6 | − | 1.23600e6i | 1.61788 | − | 0.855629i | ||||
\(292\) | 1.18588e6 | − | 98931.7i | 0.813924 | − | 0.0679013i | ||||
\(293\) | 154273. | 0.104984 | 0.0524918 | − | 0.998621i | \(-0.483284\pi\) | ||||
0.0524918 | + | 0.998621i | \(0.483284\pi\) | |||||||
\(294\) | −642874. | + | 2.44300e6i | −0.433768 | + | 1.64837i | ||||
\(295\) | 923017. | − | 649538.i | 0.617525 | − | 0.434560i | ||||
\(296\) | 1.38107e6 | + | 1.07307e6i | 0.916193 | + | 0.711870i | ||||
\(297\) | 2.26781e6 | + | 253677.i | 1.49182 | + | 0.166875i | ||||
\(298\) | 369564. | − | 401679.i | 0.241073 | − | 0.262022i | ||||
\(299\) | −997723. | −0.645404 | ||||||||
\(300\) | −348286. | − | 1.51944e6i | −0.223425 | − | 0.974721i | ||||
\(301\) | −393118. | −0.250096 | ||||||||
\(302\) | −283596. | + | 308240.i | −0.178930 | + | 0.194478i | ||||
\(303\) | 1.76520e6 | − | 933540.i | 1.10455 | − | 0.584152i | ||||
\(304\) | −182183. | − | 1.08430e6i | −0.113064 | − | 0.672925i | ||||
\(305\) | −771585. | + | 542973.i | −0.474935 | + | 0.334217i | ||||
\(306\) | −1.11336e6 | + | 259689.i | −0.679724 | + | 0.158544i | ||||
\(307\) | −828961. | −0.501982 | −0.250991 | − | 0.967989i | \(-0.580756\pi\) | ||||
−0.250991 | + | 0.967989i | \(0.580756\pi\) | |||||||
\(308\) | 341684. | + | 4.09572e6i | 0.205233 | + | 2.46010i | ||||
\(309\) | −65437.9 | − | 123734.i | −0.0389882 | − | 0.0737215i | ||||
\(310\) | 98502.2 | − | 750111.i | 0.0582159 | − | 0.443324i | ||||
\(311\) | 1.78990e6 | 1.04937 | 0.524684 | − | 0.851297i | \(-0.324184\pi\) | ||||
0.524684 | + | 0.851297i | \(0.324184\pi\) | |||||||
\(312\) | −163034. | + | 927048.i | −0.0948183 | + | 0.539158i | ||||
\(313\) | 418589.i | 0.241505i | 0.992683 | + | 0.120753i | \(0.0385308\pi\) | ||||
−0.992683 | + | 0.120753i | \(0.961469\pi\) | |||||||
\(314\) | −1.80200e6 | + | 1.95860e6i | −1.03141 | + | 1.12104i | ||||
\(315\) | 44451.9 | + | 2.89580e6i | 0.0252414 | + | 1.64434i | ||||
\(316\) | 668966. | − | 55808.3i | 0.376866 | − | 0.0314399i | ||||
\(317\) | −983509. | −0.549706 | −0.274853 | − | 0.961486i | \(-0.588629\pi\) | ||||
−0.274853 | + | 0.961486i | \(0.588629\pi\) | |||||||
\(318\) | 668580. | − | 2.54069e6i | 0.370754 | − | 1.40891i | ||||
\(319\) | − | 1.56171e6i | − | 0.859256i | ||||||
\(320\) | −1.39168e6 | − | 1.19108e6i | −0.759737 | − | 0.650231i | ||||
\(321\) | 1.99795e6 | − | 1.05663e6i | 1.08224 | − | 0.572350i | ||||
\(322\) | −2.44243e6 | + | 2.65467e6i | −1.31275 | + | 1.42683i | ||||
\(323\) | − | 893006.i | − | 0.476264i | ||||||
\(324\) | 1.69457e6 | − | 835994.i | 0.896805 | − | 0.442426i | ||||
\(325\) | −981207. | − | 351923.i | −0.515291 | − | 0.184816i | ||||
\(326\) | −1.62971e6 | − | 1.49941e6i | −0.849309 | − | 0.781406i | ||||
\(327\) | −1.40956e6 | − | 2.66529e6i | −0.728978 | − | 1.37840i | ||||
\(328\) | 95641.6 | + | 74312.3i | 0.0490865 | + | 0.0381396i | ||||
\(329\) | − | 2.99535e6i | − | 1.52566i | ||||||
\(330\) | 1.03471e6 | + | 2.78353e6i | 0.523038 | + | 1.40705i | ||||
\(331\) | 2.68684e6i | 1.34795i | 0.738756 | + | 0.673973i | \(0.235413\pi\) | ||||
−0.738756 | + | 0.673973i | \(0.764587\pi\) | |||||||
\(332\) | 594712. | − | 49613.7i | 0.296116 | − | 0.0247034i | ||||
\(333\) | −1.94055e6 | − | 1.32152e6i | −0.958989 | − | 0.653076i | ||||
\(334\) | 174435. | − | 189594.i | 0.0855595 | − | 0.0929945i | ||||
\(335\) | −39727.9 | + | 27957.0i | −0.0193412 | + | 0.0136106i | ||||
\(336\) | 2.06752e6 | + | 2.70321e6i | 0.999082 | + | 1.30626i | ||||
\(337\) | − | 3.18066e6i | − | 1.52561i | −0.646629 | − | 0.762804i | \(-0.723822\pi\) | ||
0.646629 | − | 0.762804i | \(-0.276178\pi\) | |||||||
\(338\) | −1.08246e6 | − | 995921.i | −0.515374 | − | 0.474169i | ||||
\(339\) | 544002. | + | 1.02863e6i | 0.257099 | + | 0.486141i | ||||
\(340\) | −954391. | − | 1.14130e6i | −0.447743 | − | 0.535432i | ||||
\(341\) | 1.44124e6i | 0.671198i | ||||||||
\(342\) | 335267. | + | 1.43739e6i | 0.154998 | + | 0.664520i | ||||
\(343\) | 2.52437e6 | 1.15856 | ||||||||
\(344\) | −204791. | + | 263571.i | −0.0933073 | + | 0.120089i | ||||
\(345\) | −1.18302e6 | + | 2.32251e6i | −0.535112 | + | 1.05053i | ||||
\(346\) | 321274. | + | 295587.i | 0.144273 | + | 0.132738i | ||||
\(347\) | 947790.i | 0.422560i | 0.977426 | + | 0.211280i | \(0.0677632\pi\) | ||||
−0.977426 | + | 0.211280i | \(0.932237\pi\) | |||||||
\(348\) | −697505. | − | 1.08893e6i | −0.308745 | − | 0.482004i | ||||
\(349\) | 722659. | 0.317592 | 0.158796 | − | 0.987311i | \(-0.449239\pi\) | ||||
0.158796 | + | 0.987311i | \(0.449239\pi\) | |||||||
\(350\) | −3.33837e6 | + | 1.74922e6i | −1.45668 | + | 0.763264i | ||||
\(351\) | 140466. | − | 1.25573e6i | 0.0608560 | − | 0.544039i | ||||
\(352\) | 2.92402e6 | + | 1.90454e6i | 1.25784 | + | 0.819281i | ||||
\(353\) | −120940. | −0.0516573 | −0.0258287 | − | 0.999666i | \(-0.508222\pi\) | ||||
−0.0258287 | + | 0.999666i | \(0.508222\pi\) | |||||||
\(354\) | −453082. | + | 1.72177e6i | −0.192163 | + | 0.730242i | ||||
\(355\) | −1.63931e6 | + | 1.15360e6i | −0.690381 | + | 0.485829i | ||||
\(356\) | −953118. | + | 79513.6i | −0.398586 | + | 0.0332519i | ||||
\(357\) | 1.29222e6 | + | 2.44341e6i | 0.536618 | + | 1.01467i | ||||
\(358\) | 1.12524e6 | + | 1.03528e6i | 0.464023 | + | 0.426924i | ||||
\(359\) | 3.72502e6 | 1.52543 | 0.762716 | − | 0.646734i | \(-0.223866\pi\) | ||||
0.762716 | + | 0.646734i | \(0.223866\pi\) | |||||||
\(360\) | 1.96468e6 | + | 1.47873e6i | 0.798979 | + | 0.601359i | ||||
\(361\) | 1.32320e6 | 0.534389 | ||||||||
\(362\) | 2.68898e6 | + | 2.47399e6i | 1.07849 | + | 0.992262i | ||||
\(363\) | −1.47107e6 | − | 2.78160e6i | −0.585958 | − | 1.10797i | ||||
\(364\) | 2.26788e6 | − | 189197.i | 0.897153 | − | 0.0748447i | ||||
\(365\) | −1.19637e6 | − | 1.70009e6i | −0.470038 | − | 0.667942i | ||||
\(366\) | 378748. | − | 1.43929e6i | 0.147791 | − | 0.561624i | ||||
\(367\) | 2.58528e6 | 1.00194 | 0.500971 | − | 0.865464i | \(-0.332976\pi\) | ||||
0.500971 | + | 0.865464i | \(0.332976\pi\) | |||||||
\(368\) | 507498. | + | 3.02048e6i | 0.195351 | + | 1.16267i | ||||
\(369\) | −134386. | − | 91517.7i | −0.0513794 | − | 0.0349896i | ||||
\(370\) | 397797. | − | 3.02929e6i | 0.151063 | − | 1.15037i | ||||
\(371\) | −6.35184e6 | −2.39588 | ||||||||
\(372\) | 643702. | + | 1.00493e6i | 0.241172 | + | 0.376512i | ||||
\(373\) | 3.43999e6i | 1.28022i | 0.768283 | + | 0.640110i | \(0.221111\pi\) | ||||
−0.768283 | + | 0.640110i | \(0.778889\pi\) | |||||||
\(374\) | 2.08573e6 | + | 1.91897e6i | 0.771044 | + | 0.709398i | ||||
\(375\) | −1.98265e6 | + | 1.86678e6i | −0.728061 | + | 0.685513i | ||||
\(376\) | −2.00827e6 | − | 1.56040e6i | −0.732576 | − | 0.569202i | ||||
\(377\) | −864747. | −0.313354 | ||||||||
\(378\) | −2.99731e6 | − | 3.44778e6i | −1.07895 | − | 1.24111i | ||||
\(379\) | − | 3.75424e6i | − | 1.34253i | −0.741217 | − | 0.671266i | \(-0.765751\pi\) | ||
0.741217 | − | 0.671266i | \(-0.234249\pi\) | |||||||
\(380\) | −1.47346e6 | + | 1.23215e6i | −0.523455 | + | 0.437728i | ||||
\(381\) | −1.40867e6 | − | 2.66360e6i | −0.497160 | − | 0.940064i | ||||
\(382\) | −3.09448e6 | − | 2.84707e6i | −1.08500 | − | 0.998252i | ||||
\(383\) | − | 579700.i | − | 0.201932i | −0.994890 | − | 0.100966i | \(-0.967807\pi\) | ||
0.994890 | − | 0.100966i | \(-0.0321934\pi\) | |||||||
\(384\) | 2.88945e6 | + | 22017.1i | 0.999971 | + | 0.00761961i | ||||
\(385\) | 5.87165e6 | − | 4.13195e6i | 2.01887 | − | 1.42070i | ||||
\(386\) | 909578. | − | 988618.i | 0.310722 | − | 0.337723i | ||||
\(387\) | 252206. | − | 370344.i | 0.0856009 | − | 0.125698i | ||||
\(388\) | −5.40844e6 | + | 451198.i | −1.82387 | + | 0.152155i | ||||
\(389\) | 2.81993e6i | 0.944852i | 0.881370 | + | 0.472426i | \(0.156622\pi\) | ||||
−0.881370 | + | 0.472426i | \(0.843378\pi\) | |||||||
\(390\) | 1.54130e6 | − | 572939.i | 0.513127 | − | 0.190742i | ||||
\(391\) | 2.48760e6i | 0.822883i | ||||||||
\(392\) | 3.18171e6 | − | 4.09493e6i | 1.04579 | − | 1.34596i | ||||
\(393\) | −99836.5 | − | 188778.i | −0.0326068 | − | 0.0616551i | ||||
\(394\) | 2.14227e6 | + | 1.97100e6i | 0.695240 | + | 0.639654i | ||||
\(395\) | −674884. | − | 959035.i | −0.217639 | − | 0.309273i | ||||
\(396\) | −4.07765e6 | − | 2.30573e6i | −1.30669 | − | 0.738874i | ||||
\(397\) | 6.10262e6i | 1.94330i | 0.236420 | + | 0.971651i | \(0.424026\pi\) | ||||
−0.236420 | + | 0.971651i | \(0.575974\pi\) | |||||||
\(398\) | −903342. | + | 981841.i | −0.285854 | + | 0.310694i | ||||
\(399\) | 3.15453e6 | − | 1.66830e6i | 0.991978 | − | 0.524615i | ||||
\(400\) | −566305. | + | 3.14949e6i | −0.176970 | + | 0.984216i | ||||
\(401\) | 2.36778e6i | 0.735327i | 0.929959 | + | 0.367663i | \(0.119842\pi\) | ||||
−0.929959 | + | 0.367663i | \(0.880158\pi\) | |||||||
\(402\) | 19501.3 | − | 74107.2i | 0.00601863 | − | 0.0228715i | ||||
\(403\) | 798043. | 0.244773 | ||||||||
\(404\) | −4.08495e6 | + | 340786.i | −1.24518 | + | 0.103879i | ||||
\(405\) | −2.75656e6 | − | 1.81593e6i | −0.835082 | − | 0.550125i | ||||
\(406\) | −2.11690e6 | + | 2.30086e6i | −0.637362 | + | 0.692748i | ||||
\(407\) | 5.82039e6i | 1.74167i | ||||||||
\(408\) | 2.31139e6 | + | 406489.i | 0.687420 | + | 0.120892i | ||||
\(409\) | −5.23619e6 | −1.54777 | −0.773886 | − | 0.633325i | \(-0.781690\pi\) | ||||
−0.773886 | + | 0.633325i | \(0.781690\pi\) | |||||||
\(410\) | 27548.1 | − | 209784.i | 0.00809343 | − | 0.0616329i | ||||
\(411\) | 641734. | + | 1.21343e6i | 0.187392 | + | 0.354333i | ||||
\(412\) | 23887.9 | + | 286341.i | 0.00693322 | + | 0.0831076i | ||||
\(413\) | 4.30451e6 | 1.24179 | ||||||||
\(414\) | −933936. | − | 4.00405e6i | −0.267803 | − | 1.14815i | ||||
\(415\) | −599972. | − | 852583.i | −0.171006 | − | 0.243006i | ||||
\(416\) | 1.05458e6 | − | 1.61909e6i | 0.298777 | − | 0.458709i | ||||
\(417\) | 4.32022e6 | − | 2.28478e6i | 1.21665 | − | 0.643435i | ||||
\(418\) | 2.47746e6 | − | 2.69275e6i | 0.693531 | − | 0.753798i | ||||
\(419\) | 484820. | 0.134911 | 0.0674553 | − | 0.997722i | \(-0.478512\pi\) | ||||
0.0674553 | + | 0.997722i | \(0.478512\pi\) | |||||||
\(420\) | 2.24866e6 | − | 5.50353e6i | 0.622015 | − | 1.52236i | ||||
\(421\) | −488803. | −0.134409 | −0.0672046 | − | 0.997739i | \(-0.521408\pi\) | ||||
−0.0672046 | + | 0.997739i | \(0.521408\pi\) | |||||||
\(422\) | 4.86119e6 | − | 5.28362e6i | 1.32880 | − | 1.44428i | ||||
\(423\) | 2.82183e6 | + | 1.92168e6i | 0.766796 | + | 0.522191i | ||||
\(424\) | −3.30893e6 | + | 4.25867e6i | −0.893868 | + | 1.15043i | ||||
\(425\) | −877440. | + | 2.44642e6i | −0.235638 | + | 0.656990i | ||||
\(426\) | 804687. | − | 3.05791e6i | 0.214834 | − | 0.816396i | ||||
\(427\) | −3.59830e6 | −0.955054 | ||||||||
\(428\) | −4.62358e6 | + | 385721.i | −1.22003 | + | 0.101780i | ||||
\(429\) | −2.76909e6 | + | 1.46446e6i | −0.726430 | + | 0.384178i | ||||
\(430\) | 578127. | + | 75917.7i | 0.150783 | + | 0.0198003i | ||||
\(431\) | 1.73921e6 | 0.450982 | 0.225491 | − | 0.974245i | \(-0.427601\pi\) | ||||
0.225491 | + | 0.974245i | \(0.427601\pi\) | |||||||
\(432\) | −3.87303e6 | + | 213493.i | −0.998484 | + | 0.0550395i | ||||
\(433\) | − | 2.91743e6i | − | 0.747791i | −0.927471 | − | 0.373895i | \(-0.878022\pi\) | ||
0.927471 | − | 0.373895i | \(-0.121978\pi\) | |||||||
\(434\) | 1.95361e6 | − | 2.12338e6i | 0.497868 | − | 0.541132i | ||||
\(435\) | −1.02535e6 | + | 2.01297e6i | −0.259806 | + | 0.510051i | ||||
\(436\) | 514556. | + | 6.16791e6i | 0.129633 | + | 1.55390i | ||||
\(437\) | 3.21157e6 | 0.804477 | ||||||||
\(438\) | 3.17129e6 | + | 834522.i | 0.789861 | + | 0.207851i | ||||
\(439\) | − | 5.83578e6i | − | 1.44523i | −0.691250 | − | 0.722616i | \(-0.742940\pi\) | ||
0.691250 | − | 0.722616i | \(-0.257060\pi\) | |||||||
\(440\) | 288465. | − | 6.08922e6i | 0.0710332 | − | 1.49944i | ||||
\(441\) | −3.91837e6 | + | 5.75380e6i | −0.959419 | + | 1.40883i | ||||
\(442\) | 1.06257e6 | − | 1.15491e6i | 0.258704 | − | 0.281185i | ||||
\(443\) | 2.99732e6i | 0.725645i | 0.931858 | + | 0.362823i | \(0.118187\pi\) | ||||
−0.931858 | + | 0.362823i | \(0.881813\pi\) | |||||||
\(444\) | 2.59956e6 | + | 4.05837e6i | 0.625811 | + | 0.977000i | ||||
\(445\) | 961548. | + | 1.36640e6i | 0.230182 | + | 0.327097i | ||||
\(446\) | 2.93107e6 | + | 2.69673e6i | 0.697733 | + | 0.641949i | ||||
\(447\) | 1.32962e6 | − | 703181.i | 0.314745 | − | 0.166456i | ||||
\(448\) | −1.72634e6 | − | 6.76949e6i | −0.406380 | − | 1.59353i | ||||
\(449\) | − | 8.14160e6i | − | 1.90587i | −0.303172 | − | 0.952936i | \(-0.598046\pi\) | ||
0.303172 | − | 0.952936i | \(-0.401954\pi\) | |||||||
\(450\) | 493855. | − | 4.26719e6i | 0.114966 | − | 0.993369i | ||||
\(451\) | 403072.i | 0.0933129i | ||||||||
\(452\) | −198586. | − | 2.38042e6i | −0.0457197 | − | 0.548035i | ||||
\(453\) | −1.02032e6 | + | 539606.i | −0.233610 | + | 0.123547i | ||||
\(454\) | 334330. | − | 363383.i | 0.0761264 | − | 0.0827417i | ||||
\(455\) | −2.28794e6 | − | 3.25125e6i | −0.518103 | − | 0.736244i | ||||
\(456\) | 524791. | − | 2.98407e6i | 0.118188 | − | 0.672044i | ||||
\(457\) | 5.46732e6i | 1.22457i | 0.790637 | + | 0.612286i | \(0.209750\pi\) | ||||
−0.790637 | + | 0.612286i | \(0.790250\pi\) | |||||||
\(458\) | −2.54224e6 | − | 2.33898e6i | −0.566308 | − | 0.521031i | ||||
\(459\) | −3.13089e6 | − | 350221.i | −0.693643 | − | 0.0775907i | ||||
\(460\) | 4.10454e6 | − | 3.43233e6i | 0.904419 | − | 0.756301i | ||||
\(461\) | − | 6.97065e6i | − | 1.52764i | −0.645430 | − | 0.763820i | \(-0.723322\pi\) | ||
0.645430 | − | 0.763820i | \(-0.276678\pi\) | |||||||
\(462\) | −2.88222e6 | + | 1.09528e7i | −0.628235 | + | 2.38737i | ||||
\(463\) | −2.87422e6 | −0.623115 | −0.311558 | − | 0.950227i | \(-0.600851\pi\) | ||||
−0.311558 | + | 0.950227i | \(0.600851\pi\) | |||||||
\(464\) | 439859. | + | 2.61792e6i | 0.0948459 | + | 0.564496i | ||||
\(465\) | 946258. | − | 1.85769e6i | 0.202944 | − | 0.398421i | ||||
\(466\) | −3.23930e6 | − | 2.98032e6i | −0.691014 | − | 0.635767i | ||||
\(467\) | 227083.i | 0.0481829i | 0.999710 | + | 0.0240914i | \(0.00766929\pi\) | ||||
−0.999710 | + | 0.0240914i | \(0.992331\pi\) | |||||||
\(468\) | −1.27673e6 | + | 2.25788e6i | −0.269453 | + | 0.476525i | ||||
\(469\) | −185272. | −0.0388935 | ||||||||
\(470\) | −578453. | + | 4.40502e6i | −0.120788 | + | 0.919821i | ||||
\(471\) | −6.48327e6 | + | 3.42873e6i | −1.34661 | + | 0.712165i | ||||
\(472\) | 2.24239e6 | − | 2.88601e6i | 0.463294 | − | 0.596270i | ||||
\(473\) | −1.11079e6 | −0.228287 | ||||||||
\(474\) | 1.78895e6 | + | 470762.i | 0.365724 | + | 0.0962400i | ||||
\(475\) | 3.15841e6 | + | 1.13280e6i | 0.642295 | + | 0.230367i | ||||
\(476\) | −471721. | − | 5.65445e6i | −0.0954262 | − | 1.14386i | ||||
\(477\) | 4.07504e6 | − | 5.98387e6i | 0.820043 | − | 1.20417i | ||||
\(478\) | 205531. | + | 189098.i | 0.0411440 | + | 0.0378545i | ||||
\(479\) | −7.01443e6 | −1.39686 | −0.698431 | − | 0.715677i | \(-0.746118\pi\) | ||||
−0.698431 | + | 0.715677i | \(0.746118\pi\) | |||||||
\(480\) | −2.51849e6 | − | 4.37465e6i | −0.498928 | − | 0.866644i | ||||
\(481\) | 3.22287e6 | 0.635155 | ||||||||
\(482\) | 1.86147e6 | + | 1.71264e6i | 0.364954 | + | 0.335775i | ||||
\(483\) | −8.78739e6 | + | 4.64728e6i | −1.71393 | + | 0.906423i | ||||
\(484\) | 537010. | + | 6.43706e6i | 0.104200 | + | 1.24903i | ||||
\(485\) | 5.45628e6 | + | 7.75358e6i | 1.05328 | + | 1.49675i | ||||
\(486\) | 5.17098e6 | − | 611735.i | 0.993075 | − | 0.117482i | ||||
\(487\) | −845144. | −0.161476 | −0.0807380 | − | 0.996735i | \(-0.525728\pi\) | ||||
−0.0807380 | + | 0.996735i | \(0.525728\pi\) | |||||||
\(488\) | −1.87450e6 | + | 2.41253e6i | −0.356317 | + | 0.458588i | ||||
\(489\) | −2.85298e6 | − | 5.39460e6i | −0.539543 | − | 1.02020i | ||||
\(490\) | −8.98198e6 | − | 1.17948e6i | −1.68998 | − | 0.221923i | ||||
\(491\) | 6.64359e6 | 1.24365 | 0.621826 | − | 0.783155i | \(-0.286391\pi\) | ||||
0.621826 | + | 0.783155i | \(0.286391\pi\) | |||||||
\(492\) | 180024. | + | 281049.i | 0.0335288 | + | 0.0523444i | ||||
\(493\) | 2.15605e6i | 0.399523i | ||||||||
\(494\) | −1.49103e6 | − | 1.37182e6i | −0.274896 | − | 0.252918i | ||||
\(495\) | 125603. | + | 8.18236e6i | 0.0230403 | + | 1.50095i | ||||
\(496\) | −405930. | − | 2.41598e6i | −0.0740878 | − | 0.440949i | ||||
\(497\) | −7.64493e6 | −1.38830 | ||||||||
\(498\) | 1.59038e6 | + | 418508.i | 0.287361 | + | 0.0756189i | ||||
\(499\) | − | 1.48418e6i | − | 0.266831i | −0.991060 | − | 0.133416i | \(-0.957406\pi\) | ||
0.991060 | − | 0.133416i | \(-0.0425945\pi\) | |||||||
\(500\) | 5.24727e6 | − | 1.92774e6i | 0.938660 | − | 0.344845i | ||||
\(501\) | 627585. | − | 331903.i | 0.111706 | − | 0.0590769i | ||||
\(502\) | 3.46169e6 | + | 3.18492e6i | 0.613096 | + | 0.564078i | ||||
\(503\) | − | 7.44493e6i | − | 1.31202i | −0.754752 | − | 0.656010i | \(-0.772243\pi\) | ||
0.754752 | − | 0.656010i | \(-0.227757\pi\) | |||||||
\(504\) | 2.88217e6 | + | 8.92432e6i | 0.505410 | + | 1.56494i | ||||
\(505\) | 4.12109e6 | + | 5.85622e6i | 0.719090 | + | 1.02185i | ||||
\(506\) | −6.90132e6 | + | 7.50104e6i | −1.19827 | + | 1.30240i | ||||
\(507\) | −1.89497e6 | − | 3.58313e6i | −0.327403 | − | 0.619075i | ||||
\(508\) | 514230. | + | 6.16401e6i | 0.0884094 | + | 1.05975i | ||||
\(509\) | 1.15473e7i | 1.97554i | 0.155916 | + | 0.987770i | \(0.450167\pi\) | ||||
−0.155916 | + | 0.987770i | \(0.549833\pi\) | |||||||
\(510\) | −1.42849e6 | − | 3.84287e6i | −0.243194 | − | 0.654230i | ||||
\(511\) | − | 7.92838e6i | − | 1.34317i | ||||||
\(512\) | −5.43801e6 | − | 2.36905e6i | −0.916780 | − | 0.399393i | ||||
\(513\) | −452146. | + | 4.04208e6i | −0.0758552 | + | 0.678128i | ||||
\(514\) | 4.03712e6 | + | 3.71435e6i | 0.674007 | + | 0.620119i | ||||
\(515\) | 410500. | − | 288874.i | 0.0682017 | − | 0.0479943i | ||||
\(516\) | −774522. | + | 496115.i | −0.128059 | + | 0.0820272i | ||||
\(517\) | − | 8.46367e6i | − | 1.39262i | ||||||
\(518\) | 7.88959e6 | − | 8.57518e6i | 1.29190 | − | 1.40417i | ||||
\(519\) | 562423. | + | 1.06347e6i | 0.0916526 | + | 0.173303i | ||||
\(520\) | −3.37172e6 | − | 159729.i | −0.546818 | − | 0.0259045i | ||||
\(521\) | 4.93627e6i | 0.796718i | 0.917230 | + | 0.398359i | \(0.130420\pi\) | ||||
−0.917230 | + | 0.398359i | \(0.869580\pi\) | |||||||
\(522\) | −809462. | − | 3.47039e6i | −0.130023 | − | 0.557445i | ||||
\(523\) | 1.13122e7 | 1.80839 | 0.904196 | − | 0.427117i | \(-0.140471\pi\) | ||||
0.904196 | + | 0.427117i | \(0.140471\pi\) | |||||||
\(524\) | 36445.0 | + | 436861.i | 0.00579843 | + | 0.0695049i | ||||
\(525\) | −1.02811e7 | + | 1.47081e6i | −1.62796 | + | 0.232895i | ||||
\(526\) | 6.27003e6 | − | 6.81488e6i | 0.988109 | − | 1.07397i | ||||
\(527\) | − | 1.98974e6i | − | 0.312083i | ||||||
\(528\) | 5.84197e6 | + | 7.63818e6i | 0.911958 | + | 1.19235i | ||||
\(529\) | −2.50995e6 | −0.389965 | ||||||||
\(530\) | 9.34113e6 | + | 1.22665e6i | 1.44447 | + | 0.189684i | ||||
\(531\) | −2.76157e6 | + | 4.05514e6i | −0.425030 | + | 0.624122i | ||||
\(532\) | −7.30008e6 | + | 609007.i | −1.11827 | + | 0.0932917i | ||||
\(533\) | 223189. | 0.0340295 | ||||||||
\(534\) | −2.54883e6 | − | 670724.i | −0.386802 | − | 0.101787i | ||||
\(535\) | 4.66448e6 | + | 6.62840e6i | 0.704561 | + | 1.00121i | ||||
\(536\) | −96515.6 | + | 124218.i | −0.0145106 | + | 0.0186755i | ||||
\(537\) | 1.96986e6 | + | 3.72474e6i | 0.294781 | + | 0.557391i | ||||
\(538\) | 1.63640e6 | − | 1.77860e6i | 0.243743 | − | 0.264924i | ||||
\(539\) | 1.72577e7 | 2.55865 | ||||||||
\(540\) | 3.74207e6 | + | 5.64920e6i | 0.552239 | + | 0.833686i | ||||
\(541\) | 1.32122e7 | 1.94081 | 0.970406 | − | 0.241481i | \(-0.0776332\pi\) | ||||
0.970406 | + | 0.241481i | \(0.0776332\pi\) | |||||||
\(542\) | −260895. | + | 283566.i | −0.0381476 | + | 0.0414626i | ||||
\(543\) | 4.70733e6 | + | 8.90094e6i | 0.685134 | + | 1.29550i | ||||
\(544\) | −4.03683e6 | − | 2.62936e6i | −0.584849 | − | 0.380937i | ||||
\(545\) | 8.84236e6 | − | 6.22247e6i | 1.27520 | − | 0.897370i | ||||
\(546\) | 6.06478e6 | + | 1.59594e6i | 0.870630 | + | 0.229106i | ||||
\(547\) | 5.21864e6 | 0.745743 | 0.372871 | − | 0.927883i | \(-0.378373\pi\) | ||||
0.372871 | + | 0.927883i | \(0.378373\pi\) | |||||||
\(548\) | −234263. | − | 2.80808e6i | −0.0333237 | − | 0.399446i | ||||
\(549\) | 2.30850e6 | − | 3.38985e6i | 0.326888 | − | 0.480009i | ||||
\(550\) | −9.43289e6 | + | 4.94260e6i | −1.32965 | + | 0.696704i | ||||
\(551\) | 2.78353e6 | 0.390587 | ||||||||
\(552\) | −1.46188e6 | + | 8.31257e6i | −0.204204 | + | 1.16115i | ||||
\(553\) | − | 4.47248e6i | − | 0.621921i | ||||||
\(554\) | −2.04564e6 | + | 2.22340e6i | −0.283175 | + | 0.307782i | ||||
\(555\) | 3.82142e6 | − | 7.50222e6i | 0.526614 | − | 1.03385i | ||||
\(556\) | −9.99767e6 | + | 834053.i | −1.37155 | + | 0.114421i | ||||
\(557\) | −1.15829e7 | −1.58191 | −0.790953 | − | 0.611876i | \(-0.790415\pi\) | ||||
−0.790953 | + | 0.611876i | \(0.790415\pi\) | |||||||
\(558\) | 747022. | + | 3.20270e6i | 0.101566 | + | 0.435442i | ||||
\(559\) | 615069.i | 0.0832519i | ||||||||
\(560\) | −8.67898e6 | + | 8.58022e6i | −1.16950 | + | 1.15619i | ||||
\(561\) | 3.65129e6 | + | 6.90410e6i | 0.489823 | + | 0.926190i | ||||
\(562\) | −559300. | + | 607903.i | −0.0746972 | + | 0.0811882i | ||||
\(563\) | − | 1.21120e7i | − | 1.61044i | −0.592977 | − | 0.805219i | \(-0.702048\pi\) | ||
0.592977 | − | 0.805219i | \(-0.297952\pi\) | |||||||
\(564\) | −3.78013e6 | − | 5.90144e6i | −0.500391 | − | 0.781197i | ||||
\(565\) | −3.41259e6 | + | 2.40148e6i | −0.449742 | + | 0.316488i | ||||
\(566\) | 6.05558e6 | + | 5.57143e6i | 0.794538 | + | 0.731014i | ||||
\(567\) | −4.61192e6 | − | 1.17141e7i | −0.602454 | − | 1.53021i | ||||
\(568\) | −3.98255e6 | + | 5.12564e6i | −0.517954 | + | 0.666618i | ||||
\(569\) | − | 8.65688e6i | − | 1.12094i | −0.828176 | − | 0.560468i | \(-0.810621\pi\) | ||
0.828176 | − | 0.560468i | \(-0.189379\pi\) | |||||||
\(570\) | −4.96128e6 | + | 1.84423e6i | −0.639597 | + | 0.237755i | ||||
\(571\) | − | 5.06072e6i | − | 0.649564i | −0.945789 | − | 0.324782i | \(-0.894709\pi\) | ||
0.945789 | − | 0.324782i | \(-0.105291\pi\) | |||||||
\(572\) | 6.40812e6 | − | 534595.i | 0.818918 | − | 0.0683180i | ||||
\(573\) | −5.41721e6 | − | 1.02432e7i | −0.689270 | − | 1.30332i | ||||
\(574\) | 546368. | − | 593846.i | 0.0692158 | − | 0.0752306i | ||||
\(575\) | −8.79820e6 | − | 3.15559e6i | −1.10975 | − | 0.398025i | ||||
\(576\) | 7.48486e6 | + | 2.71665e6i | 0.940000 | + | 0.341176i | ||||
\(577\) | 20602.4i | 0.00257619i | 0.999999 | + | 0.00128809i | \(0.000410013\pi\) | ||||
−0.999999 | + | 0.00128809i | \(0.999590\pi\) | |||||||
\(578\) | 3.03129e6 | + | 2.78893e6i | 0.377405 | + | 0.347231i | ||||
\(579\) | 3.27249e6 | − | 1.73068e6i | 0.405678 | − | 0.214546i | ||||
\(580\) | 3.55749e6 | − | 2.97487e6i | 0.439110 | − | 0.367197i | ||||
\(581\) | − | 3.97604e6i | − | 0.488664i | ||||||
\(582\) | −1.44633e7 | − | 3.80600e6i | −1.76994 | − | 0.465760i | ||||
\(583\) | −1.79478e7 | −2.18695 | ||||||||
\(584\) | −5.31568e6 | − | 4.13022e6i | −0.644951 | − | 0.501119i | ||||
\(585\) | 4.53073e6 | − | 69548.9i | 0.547367 | − | 0.00840235i | ||||
\(586\) | −642232. | − | 590885.i | −0.0772588 | − | 0.0710819i | ||||
\(587\) | 1.55613e7i | 1.86402i | 0.362430 | + | 0.932011i | \(0.381947\pi\) | ||||
−0.362430 | + | 0.932011i | \(0.618053\pi\) | |||||||
\(588\) | 1.20332e7 | − | 7.70781e6i | 1.43529 | − | 0.919365i | ||||
\(589\) | −2.56882e6 | −0.305103 | ||||||||
\(590\) | −6.33028e6 | − | 831272.i | −0.748675 | − | 0.0983135i | ||||
\(591\) | 3.75028e6 | + | 7.09127e6i | 0.441667 | + | 0.835133i | ||||
\(592\) | −1.63933e6 | − | 9.75683e6i | −0.192248 | − | 1.14421i | ||||
\(593\) | −7.35786e6 | −0.859241 | −0.429620 | − | 0.903010i | \(-0.641353\pi\) | ||||
−0.429620 | + | 0.903010i | \(0.641353\pi\) | |||||||
\(594\) | −8.46919e6 | − | 9.74205e6i | −0.984863 | − | 1.13288i | ||||
\(595\) | −8.10625e6 | + | 5.70446e6i | −0.938702 | + | 0.660575i | ||||
\(596\) | −3.07696e6 | + | 256694.i | −0.354818 | + | 0.0296006i | ||||
\(597\) | −3.25005e6 | + | 1.71882e6i | −0.373211 | + | 0.197376i | ||||
\(598\) | 4.15347e6 | + | 3.82140e6i | 0.474961 | + | 0.436988i | ||||
\(599\) | −3.10261e6 | −0.353314 | −0.176657 | − | 0.984273i | \(-0.556528\pi\) | ||||
−0.176657 | + | 0.984273i | \(0.556528\pi\) | |||||||
\(600\) | −4.36974e6 | + | 7.65933e6i | −0.495539 | + | 0.868586i | ||||
\(601\) | −1.09887e7 | −1.24096 | −0.620481 | − | 0.784221i | \(-0.713063\pi\) | ||||
−0.620481 | + | 0.784221i | \(0.713063\pi\) | |||||||
\(602\) | 1.63653e6 | + | 1.50569e6i | 0.184049 | + | 0.169334i | ||||
\(603\) | 118862. | − | 174539.i | 0.0133122 | − | 0.0195478i | ||||
\(604\) | 2.36119e6 | − | 196982.i | 0.263353 | − | 0.0219702i | ||||
\(605\) | 9.22821e6 | − | 6.49400e6i | 1.02501 | − | 0.721313i | ||||
\(606\) | −1.09240e7 | − | 2.87465e6i | −1.20837 | − | 0.317982i | ||||
\(607\) | 1.01108e7 | 1.11382 | 0.556911 | − | 0.830572i | \(-0.311987\pi\) | ||||
0.556911 | + | 0.830572i | \(0.311987\pi\) | |||||||
\(608\) | −3.39459e6 | + | 5.21168e6i | −0.372416 | + | 0.571767i | ||||
\(609\) | −7.61622e6 | + | 4.02790e6i | −0.832139 | + | 0.440083i | ||||
\(610\) | 5.29172e6 | + | 694892.i | 0.575801 | + | 0.0756123i | ||||
\(611\) | −4.68650e6 | −0.507862 | ||||||||
\(612\) | 5.62951e6 | + | 3.18323e6i | 0.607564 | + | 0.343550i | ||||
\(613\) | 1.29724e6i | 0.139435i | 0.997567 | + | 0.0697173i | \(0.0222097\pi\) | ||||
−0.997567 | + | 0.0697173i | \(0.977790\pi\) | |||||||
\(614\) | 3.45093e6 | + | 3.17502e6i | 0.369415 | + | 0.339880i | ||||
\(615\) | 264640. | − | 519542.i | 0.0282142 | − | 0.0553902i | ||||
\(616\) | 1.42647e7 | − | 1.83590e7i | 1.51464 | − | 1.94938i | ||||
\(617\) | −1.50768e7 | −1.59440 | −0.797201 | − | 0.603715i | \(-0.793687\pi\) | ||||
−0.797201 | + | 0.603715i | \(0.793687\pi\) | |||||||
\(618\) | −201503. | + | 765735.i | −0.0212231 | + | 0.0806506i | ||||
\(619\) | − | 1.96974e6i | − | 0.206625i | −0.994649 | − | 0.103312i | \(-0.967056\pi\) | ||
0.994649 | − | 0.103312i | \(-0.0329441\pi\) | |||||||
\(620\) | −3.28308e6 | + | 2.74540e6i | −0.343006 | + | 0.286831i | ||||
\(621\) | 1.25952e6 | − | 1.12598e7i | 0.131062 | − | 1.17166i | ||||
\(622\) | −7.45127e6 | − | 6.85553e6i | −0.772243 | − | 0.710502i | ||||
\(623\) | 6.37221e6i | 0.657764i | ||||||||
\(624\) | 4.22941e6 | − | 3.23482e6i | 0.434829 | − | 0.332574i | ||||
\(625\) | −7.53951e6 | − | 6.20671e6i | −0.772046 | − | 0.635567i | ||||
\(626\) | 1.60325e6 | − | 1.74257e6i | 0.163518 | − | 0.177727i | ||||
\(627\) | 8.91343e6 | − | 4.71394e6i | 0.905474 | − | 0.478867i | ||||
\(628\) | 1.50033e7 | − | 1.25165e6i | 1.51806 | − | 0.126643i | ||||
\(629\) | − | 8.03549e6i | − | 0.809815i | ||||||
\(630\) | 1.09062e7 | − | 1.22253e7i | 1.09477 | − | 1.22718i | ||||
\(631\) | 4.85762e6i | 0.485680i | 0.970066 | + | 0.242840i | \(0.0780790\pi\) | ||||
−0.970066 | + | 0.242840i | \(0.921921\pi\) | |||||||
\(632\) | −2.99863e6 | − | 2.32989e6i | −0.298628 | − | 0.232030i | ||||
\(633\) | 1.74896e7 | − | 9.24952e6i | 1.73489 | − | 0.917509i | ||||
\(634\) | 4.09430e6 | + | 3.76696e6i | 0.404536 | + | 0.372193i | ||||
\(635\) | 8.83676e6 | − | 6.21853e6i | 0.869678 | − | 0.612003i | ||||
\(636\) | −1.25144e7 | + | 8.01602e6i | −1.22678 | + | 0.785807i | ||||
\(637\) | − | 9.55593e6i | − | 0.933092i | ||||||
\(638\) | −5.98152e6 | + | 6.50131e6i | −0.581781 | + | 0.632337i | ||||
\(639\) | 4.90463e6 | − | 7.20205e6i | 0.475175 | − | 0.697757i | ||||
\(640\) | 1.23149e6 | + | 1.02887e7i | 0.118845 | + | 0.992913i | ||||
\(641\) | 1.69855e6i | 0.163281i | 0.996662 | + | 0.0816403i | \(0.0260159\pi\) | ||||
−0.996662 | + | 0.0816403i | \(0.973984\pi\) | |||||||
\(642\) | −1.23644e7 | − | 3.25369e6i | −1.18396 | − | 0.311557i | ||||
\(643\) | 3.56418e6 | 0.339963 | 0.169982 | − | 0.985447i | \(-0.445629\pi\) | ||||
0.169982 | + | 0.985447i | \(0.445629\pi\) | |||||||
\(644\) | 2.03354e7 | − | 1.69648e6i | 1.93214 | − | 0.161188i | ||||
\(645\) | 1.43176e6 | + | 729301.i | 0.135510 | + | 0.0690252i | ||||
\(646\) | −3.42032e6 | + | 3.71754e6i | −0.322467 | + | 0.350489i | ||||
\(647\) | − | 4.33714e6i | − | 0.407326i | −0.979041 | − | 0.203663i | \(-0.934715\pi\) | ||
0.979041 | − | 0.203663i | \(-0.0652847\pi\) | |||||||
\(648\) | −1.02564e7 | − | 3.01022e6i | −0.959526 | − | 0.281618i | ||||
\(649\) | 1.21628e7 | 1.13350 | ||||||||
\(650\) | 2.73681e6 | + | 5.22318e6i | 0.254075 | + | 0.484899i | ||||
\(651\) | 7.02873e6 | − | 3.71720e6i | 0.650016 | − | 0.343766i | ||||
\(652\) | 1.04147e6 | + | 1.24840e7i | 0.0959463 | + | 1.15009i | ||||
\(653\) | 1.08697e7 | 0.997553 | 0.498777 | − | 0.866731i | \(-0.333783\pi\) | ||||
0.498777 | + | 0.866731i | \(0.333783\pi\) | |||||||
\(654\) | −4.34046e6 | + | 1.64943e7i | −0.396818 | + | 1.50796i | ||||
\(655\) | 626287. | − | 440726.i | 0.0570388 | − | 0.0401389i | ||||
\(656\) | −113527. | − | 675678.i | −0.0103000 | − | 0.0613027i | ||||
\(657\) | 7.46908e6 | + | 5.08648e6i | 0.675078 | + | 0.459731i | ||||
\(658\) | −1.14726e7 | + | 1.24695e7i | −1.03299 | + | 1.12275i | ||||
\(659\) | −2.20513e7 | −1.97797 | −0.988987 | − | 0.148001i | \(-0.952716\pi\) | ||||
−0.988987 | + | 0.148001i | \(0.952716\pi\) | |||||||
\(660\) | 6.35381e6 | − | 1.55508e7i | 0.567773 | − | 1.38961i | ||||
\(661\) | −1.37121e7 | −1.22067 | −0.610337 | − | 0.792142i | \(-0.708966\pi\) | ||||
−0.610337 | + | 0.792142i | \(0.708966\pi\) | |||||||
\(662\) | 1.02909e7 | − | 1.11852e7i | 0.912661 | − | 0.991970i | ||||
\(663\) | 3.82294e6 | − | 2.02179e6i | 0.337764 | − | 0.178629i | ||||
\(664\) | −2.66578e6 | − | 2.07128e6i | −0.234641 | − | 0.182313i | ||||
\(665\) | 7.36465e6 | + | 1.04654e7i | 0.645800 | + | 0.917706i | ||||
\(666\) | 3.01682e6 | + | 1.29340e7i | 0.263550 | + | 1.12992i | ||||
\(667\) | −7.75394e6 | −0.674851 | ||||||||
\(668\) | −1.45233e6 | + | 121160.i | −0.125929 | + | 0.0105056i | ||||
\(669\) | 5.13115e6 | + | 9.70233e6i | 0.443251 | + | 0.838128i | ||||
\(670\) | 272464. | + | 35779.1i | 0.0234489 | + | 0.00307923i | ||||
\(671\) | −1.01674e7 | −0.871769 | ||||||||
\(672\) | 1.74663e6 | − | 1.91722e7i | 0.149203 | − | 1.63775i | ||||
\(673\) | 1.43802e7i | 1.22385i | 0.790915 | + | 0.611925i | \(0.209605\pi\) | ||||
−0.790915 | + | 0.611925i | \(0.790395\pi\) | |||||||
\(674\) | −1.21823e7 | + | 1.32410e7i | −1.03295 | + | 1.12272i | ||||
\(675\) | 5.21029e6 | − | 1.06292e7i | 0.440152 | − | 0.897923i | ||||
\(676\) | 691753. | + | 8.29194e6i | 0.0582216 | + | 0.697894i | ||||
\(677\) | 3.00847e6 | 0.252275 | 0.126138 | − | 0.992013i | \(-0.459742\pi\) | ||||
0.126138 | + | 0.992013i | \(0.459742\pi\) | |||||||
\(678\) | 1.67514e6 | − | 6.36575e6i | 0.139951 | − | 0.531833i | ||||
\(679\) | 3.61590e7i | 3.00983i | ||||||||
\(680\) | −398248. | + | 8.40662e6i | −0.0330279 | + | 0.697187i | ||||
\(681\) | 1.20286e6 | − | 636139.i | 0.0993906 | − | 0.0525635i | ||||
\(682\) | 5.52013e6 | − | 5.99982e6i | 0.454452 | − | 0.493943i | ||||
\(683\) | 8.88764e6i | 0.729012i | 0.931201 | + | 0.364506i | \(0.118762\pi\) | ||||
−0.931201 | + | 0.364506i | \(0.881238\pi\) | |||||||
\(684\) | 4.10966e6 | − | 7.26788e6i | 0.335866 | − | 0.593974i | ||||
\(685\) | −4.02568e6 | + | 2.83292e6i | −0.327803 | + | 0.230679i | ||||
\(686\) | −1.05088e7 | − | 9.66864e6i | −0.852597 | − | 0.784431i | ||||
\(687\) | −4.45045e6 | − | 8.41522e6i | −0.359760 | − | 0.680258i | ||||
\(688\) | 1.86205e6 | − | 312859.i | 0.149975 | − | 0.0251986i | ||||
\(689\) | 9.93803e6i | 0.797540i | ||||||||
\(690\) | 1.38204e7 | − | 5.13738e6i | 1.10509 | − | 0.410789i | ||||
\(691\) | − | 1.69639e7i | − | 1.35154i | −0.737110 | − | 0.675772i | \(-0.763810\pi\) | ||
0.737110 | − | 0.675772i | \(-0.236190\pi\) | |||||||
\(692\) | −205311. | − | 2.46103e6i | −0.0162985 | − | 0.195367i | ||||
\(693\) | −1.75674e7 | + | 2.57962e7i | −1.38955 | + | 2.04044i | ||||
\(694\) | 3.63015e6 | − | 3.94561e6i | 0.286105 | − | 0.310967i | ||||
\(695\) | 1.00861e7 | + | 1.43327e7i | 0.792066 | + | 1.12556i | ||||
\(696\) | −1.26704e6 | + | 7.20468e6i | −0.0991444 | + | 0.563757i | ||||
\(697\) | − | 556472.i | − | 0.0433872i | ||||||
\(698\) | −3.00840e6 | − | 2.76787e6i | −0.233720 | − | 0.215034i | ||||
\(699\) | −5.67074e6 | − | 1.07226e7i | −0.438982 | − | 0.830057i | ||||
\(700\) | 2.05972e7 | + | 5.50444e6i | 1.58878 | + | 0.424588i | ||||
\(701\) | 1.03406e7i | 0.794787i | 0.917648 | + | 0.397393i | \(0.130085\pi\) | ||||
−0.917648 | + | 0.397393i | \(0.869915\pi\) | |||||||
\(702\) | −5.39436e6 | + | 4.68956e6i | −0.413140 | + | 0.359161i | ||||
\(703\) | −1.03741e7 | −0.791701 | ||||||||
\(704\) | −4.87795e6 | − | 1.91279e7i | −0.370942 | − | 1.45457i | ||||
\(705\) | −5.55689e6 | + | 1.09093e7i | −0.421074 | + | 0.826653i | ||||
\(706\) | 503466. | + | 463213.i | 0.0380153 | + | 0.0349759i | ||||
\(707\) | 2.73106e7i | 2.05486i | ||||||||
\(708\) | 8.48074e6 | − | 5.43228e6i | 0.635844 | − | 0.407286i | ||||
\(709\) | 1.66423e7 | 1.24336 | 0.621682 | − | 0.783270i | \(-0.286450\pi\) | ||||
0.621682 | + | 0.783270i | \(0.286450\pi\) | |||||||
\(710\) | 1.12428e7 | + | 1.47636e6i | 0.837004 | + | 0.109913i | ||||
\(711\) | 4.21338e6 | + | 2.86933e6i | 0.312577 | + | 0.212866i | ||||
\(712\) | 4.27233e6 | + | 3.31954e6i | 0.315838 | + | 0.245402i | ||||
\(713\) | 7.15583e6 | 0.527152 | ||||||||
\(714\) | 3.97912e6 | − | 1.51212e7i | 0.292107 | − | 1.11004i | ||||
\(715\) | −6.46480e6 | − | 9.18672e6i | −0.472923 | − | 0.672040i | ||||
\(716\) | −719091. | − | 8.61964e6i | −0.0524205 | − | 0.628357i | ||||
\(717\) | 359803. | + | 680340.i | 0.0261377 | + | 0.0494229i | ||||
\(718\) | −1.55071e7 | − | 1.42673e7i | −1.12258 | − | 1.03283i | ||||
\(719\) | 4.96436e6 | 0.358130 | 0.179065 | − | 0.983837i | \(-0.442693\pi\) | ||||
0.179065 | + | 0.983837i | \(0.442693\pi\) | |||||||
\(720\) | −2.51514e6 | − | 1.36809e7i | −0.180813 | − | 0.983517i | ||||
\(721\) | 1.91438e6 | 0.137148 | ||||||||
\(722\) | −5.50842e6 | − | 5.06801e6i | −0.393264 | − | 0.361822i | ||||
\(723\) | 3.25869e6 | + | 6.16176e6i | 0.231845 | + | 0.438388i | ||||
\(724\) | −1.71840e6 | − | 2.05982e7i | −0.121837 | − | 1.46044i | ||||
\(725\) | −7.62559e6 | − | 2.73502e6i | −0.538801 | − | 0.193248i | ||||
\(726\) | −4.52986e6 | + | 1.72140e7i | −0.318965 | + | 1.21211i | ||||
\(727\) | −1.65217e7 | −1.15936 | −0.579680 | − | 0.814844i | \(-0.696823\pi\) | ||||
−0.579680 | + | 0.814844i | \(0.696823\pi\) | |||||||
\(728\) | −1.01657e7 | − | 7.89863e6i | −0.710902 | − | 0.552362i | ||||
\(729\) | 1.39943e7 | + | 3.17046e6i | 0.975284 | + | 0.220955i | ||||
\(730\) | −1.53110e6 | + | 1.16596e7i | −0.106340 | + | 0.809799i | ||||
\(731\) | 1.53354e6 | 0.106145 | ||||||||
\(732\) | −7.08937e6 | + | 4.54105e6i | −0.489024 | + | 0.313241i | ||||
\(733\) | − | 1.88441e7i | − | 1.29544i | −0.761880 | − | 0.647719i | \(-0.775723\pi\) | ||
0.761880 | − | 0.647719i | \(-0.224277\pi\) | |||||||
\(734\) | −1.07624e7 | − | 9.90194e6i | −0.737342 | − | 0.678391i | ||||
\(735\) | −2.22444e7 | − | 1.13307e7i | −1.51881 | − | 0.773638i | ||||
\(736\) | 9.45612e6 | − | 1.45179e7i | 0.643456 | − | 0.987892i | ||||
\(737\) | −523504. | −0.0355019 | ||||||||
\(738\) | 208920. | + | 895700.i | 0.0141201 | + | 0.0605371i | ||||
\(739\) | − | 94341.3i | − | 0.00635464i | −0.999995 | − | 0.00317732i | \(-0.998989\pi\) | ||
0.999995 | − | 0.00317732i | \(-0.00101137\pi\) | |||||||
\(740\) | −1.32586e7 | + | 1.10872e7i | −0.890056 | + | 0.744290i | ||||
\(741\) | −2.61020e6 | − | 4.93554e6i | −0.174634 | − | 0.330209i | ||||
\(742\) | 2.64424e7 | + | 2.43283e7i | 1.76316 | + | 1.62219i | ||||
\(743\) | − | 9.28244e6i | − | 0.616865i | −0.951246 | − | 0.308432i | \(-0.900196\pi\) | ||
0.951246 | − | 0.308432i | \(-0.0998044\pi\) | |||||||
\(744\) | 1.16931e6 | − | 6.64894e6i | 0.0774455 | − | 0.440372i | ||||
\(745\) | 3.10417e6 | + | 4.41114e6i | 0.204906 | + | 0.291179i | ||||
\(746\) | 1.31756e7 | − | 1.43205e7i | 0.866807 | − | 0.942131i | ||||
\(747\) | 3.74570e6 | + | 2.55084e6i | 0.245602 | + | 0.167256i | ||||
\(748\) | −1.33289e6 | − | 1.59772e7i | −0.0871047 | − | 1.04411i | ||||
\(749\) | 3.09117e7i | 2.01334i | ||||||||
\(750\) | 1.54037e7 | − | 177544.i | 0.999934 | − | 0.0115253i | ||||
\(751\) | 5.67742e6i | 0.367325i | 0.982989 | + | 0.183663i | \(0.0587954\pi\) | ||||
−0.982989 | + | 0.183663i | \(0.941205\pi\) | |||||||
\(752\) | 2.38382e6 | + | 1.41878e7i | 0.153719 | + | 0.914893i | ||||
\(753\) | 6.06004e6 | + | 1.14587e7i | 0.389483 | + | 0.736460i | ||||
\(754\) | 3.59990e6 | + | 3.31209e6i | 0.230602 | + | 0.212165i | ||||
\(755\) | −2.38208e6 | − | 3.38502e6i | −0.152086 | − | 0.216119i | ||||
\(756\) | −727771. | + | 2.58330e7i | −0.0463117 | + | 1.64388i | ||||
\(757\) | 7.53401e6i | 0.477844i | 0.971039 | + | 0.238922i | \(0.0767941\pi\) | ||||
−0.971039 | + | 0.238922i | \(0.923206\pi\) | |||||||
\(758\) | −1.43792e7 | + | 1.56287e7i | −0.908996 | + | 0.987986i | ||||
\(759\) | −2.48296e7 | + | 1.31314e7i | −1.56447 | + | 0.827380i | ||||
\(760\) | 1.08532e7 | + | 514151.i | 0.681593 | + | 0.0322891i | ||||
\(761\) | − | 1.52919e7i | − | 0.957196i | −0.878034 | − | 0.478598i | \(-0.841145\pi\) | ||
0.878034 | − | 0.478598i | \(-0.158855\pi\) | |||||||
\(762\) | −4.33771e6 | + | 1.64838e7i | −0.270628 | + | 1.02842i | ||||
\(763\) | 4.12365e7 | 2.56431 | ||||||||
\(764\) | 1.97754e6 | + | 2.37045e7i | 0.122572 | + | 1.46925i | ||||
\(765\) | −173405. | − | 1.12964e7i | −0.0107129 | − | 0.697887i | ||||
\(766\) | −2.22032e6 | + | 2.41326e6i | −0.136724 | + | 0.148605i | ||||
\(767\) | − | 6.73479e6i | − | 0.413367i | ||||||
\(768\) | −1.19443e7 | − | 1.11586e7i | −0.730733 | − | 0.682664i | ||||
\(769\) | −2.87079e7 | −1.75060 | −0.875298 | − | 0.483584i | \(-0.839335\pi\) | ||||
−0.875298 | + | 0.483584i | \(0.839335\pi\) | |||||||
\(770\) | −4.02692e7 | − | 5.28803e6i | −2.44763 | − | 0.321415i | ||||
\(771\) | 7.06741e6 | + | 1.33635e7i | 0.428178 | + | 0.809628i | ||||
\(772\) | −7.57306e6 | + | 631780.i | −0.457328 | + | 0.0381525i | ||||
\(773\) | 1.10866e7 | 0.667346 | 0.333673 | − | 0.942689i | \(-0.391712\pi\) | ||||
0.333673 | + | 0.942689i | \(0.391712\pi\) | |||||||
\(774\) | −2.46839e6 | + | 575746.i | −0.148102 | + | 0.0345445i | ||||
\(775\) | 7.03738e6 | + | 2.52405e6i | 0.420878 | + | 0.150953i | ||||
\(776\) | 2.42432e7 | + | 1.88367e7i | 1.44523 | + | 1.12292i | ||||
\(777\) | 2.83852e7 | − | 1.50118e7i | 1.68671 | − | 0.892029i | ||||
\(778\) | 1.08007e7 | − | 1.17392e7i | 0.639737 | − | 0.695329i | ||||
\(779\) | −718423. | −0.0424167 | ||||||||
\(780\) | −8.61077e6 | − | 3.51823e6i | −0.506764 | − | 0.207056i | ||||
\(781\) | −2.16015e7 | −1.26723 | ||||||||
\(782\) | 9.52780e6 | − | 1.03557e7i | 0.557154 | − | 0.605570i | ||||
\(783\) | 1.09165e6 | − | 9.75911e6i | 0.0636326 | − | 0.568860i | ||||
\(784\) | −2.89294e7 | + | 4.86068e6i | −1.68093 | + | 0.282428i | ||||
\(785\) | −1.51360e7 | − | 2.15089e7i | −0.876673 | − | 1.24578i | ||||
\(786\) | −307426. | + | 1.16826e6i | −0.0177494 | + | 0.0674501i | ||||
\(787\) | −2.86665e7 | −1.64983 | −0.824913 | − | 0.565260i | \(-0.808776\pi\) | ||||
−0.824913 | + | 0.565260i | \(0.808776\pi\) | |||||||
\(788\) | −1.36903e6 | − | 1.64103e7i | −0.0785410 | − | 0.941460i | ||||
\(789\) | 2.25584e7 | − | 1.19302e7i | 1.29007 | − | 0.682266i | ||||
\(790\) | −863710. | + | 6.57730e6i | −0.0492380 | + | 0.374956i | ||||
\(791\) | −1.59147e7 | −0.904393 | ||||||||
\(792\) | 8.14386e6 | + | 2.52166e7i | 0.461336 | + | 1.42848i | ||||
\(793\) | 5.62986e6i | 0.317918i | ||||||||
\(794\) | 2.33738e7 | − | 2.54049e7i | 1.31576 | − | 1.43010i | ||||
\(795\) | 2.31339e7 | + | 1.17837e7i | 1.29817 | + | 0.661250i | ||||
\(796\) | 7.52114e6 | − | 627449.i | 0.420728 | − | 0.0350991i | ||||
\(797\) | 1.83820e7 | 1.02505 | 0.512526 | − | 0.858672i | \(-0.328710\pi\) | ||||
0.512526 | + | 0.858672i | \(0.328710\pi\) | |||||||
\(798\) | −1.95219e7 | − | 5.13718e6i | −1.08521 | − | 0.285573i | ||||
\(799\) | 1.16847e7i | 0.647518i | ||||||||
\(800\) | 1.44204e7 | − | 1.09422e7i | 0.796624 | − | 0.604475i | ||||
\(801\) | −6.00306e6 | − | 4.08811e6i | −0.330591 | − | 0.225134i | ||||
\(802\) | 9.06888e6 | − | 9.85695e6i | 0.497872 | − | 0.541136i | ||||
\(803\) | − | 2.24024e7i | − | 1.22604i | ||||||
\(804\) | −365023. | + | 233813.i | −0.0199150 | + | 0.0127564i | ||||
\(805\) | −2.05153e7 | − | 2.91530e7i | −1.11580 | − | 1.58560i | ||||
\(806\) | −3.32222e6 | − | 3.05660e6i | −0.180132 | − | 0.165730i | ||||
\(807\) | 5.88744e6 | − | 3.11362e6i | 0.318231 | − | 0.168299i | ||||
\(808\) | 1.83107e7 | + | 1.42272e7i | 0.986681 | + | 0.766639i | ||||
\(809\) | − | 2.68096e7i | − | 1.44019i | −0.693876 | − | 0.720095i | \(-0.744098\pi\) | ||
0.693876 | − | 0.720095i | \(-0.255902\pi\) | |||||||
\(810\) | 4.52018e6 | + | 1.81176e7i | 0.242071 | + | 0.970258i | ||||
\(811\) | − | 2.88786e7i | − | 1.54179i | −0.636963 | − | 0.770894i | \(-0.719810\pi\) | ||
0.636963 | − | 0.770894i | \(-0.280190\pi\) | |||||||
\(812\) | 1.76251e7 | − | 1.47037e6i | 0.938086 | − | 0.0782595i | ||||
\(813\) | −938650. | + | 496413.i | −0.0498055 | + | 0.0263400i | ||||
\(814\) | 2.22928e7 | − | 2.42300e7i | 1.17924 | − | 1.28172i | ||||
\(815\) | 1.78971e7 | − | 1.25944e7i | 0.943818 | − | 0.664176i | ||||
\(816\) | −8.06529e6 | − | 1.05451e7i | −0.424028 | − | 0.554402i | ||||
\(817\) | − | 1.97985e6i | − | 0.103771i | ||||||
\(818\) | 2.17980e7 | + | 2.00552e7i | 1.13903 | + | 1.04796i | ||||
\(819\) | 1.42839e7 | + | 9.72739e6i | 0.744109 | + | 0.506742i | ||||
\(820\) | −918179. | + | 767808.i | −0.0476862 | + | 0.0398766i | ||||
\(821\) | 2.42911e7i | 1.25773i | 0.777513 | + | 0.628867i | \(0.216481\pi\) | ||||
−0.777513 | + | 0.628867i | \(0.783519\pi\) | |||||||
\(822\) | 1.97609e6 | − | 7.50938e6i | 0.102006 | − | 0.387637i | ||||
\(823\) | −2.83942e7 | −1.46127 | −0.730634 | − | 0.682769i | \(-0.760775\pi\) | ||||
−0.730634 | + | 0.682769i | \(0.760775\pi\) | |||||||
\(824\) | 997276. | − | 1.28352e6i | 0.0511679 | − | 0.0658543i | ||||
\(825\) | −2.90504e7 | + | 4.15593e6i | −1.48599 | + | 0.212585i | ||||
\(826\) | −1.79195e7 | − | 1.64868e7i | −0.913850 | − | 0.840787i | ||||
\(827\) | − | 2.99806e6i | − | 0.152432i | −0.997091 | − | 0.0762162i | \(-0.975716\pi\) | ||
0.997091 | − | 0.0762162i | \(-0.0242839\pi\) | |||||||
\(828\) | −1.14481e7 | + | 2.02457e7i | −0.580304 | + | 1.02626i | ||||
\(829\) | 5.98134e6 | 0.302282 | 0.151141 | − | 0.988512i | \(-0.451705\pi\) | ||||
0.151141 | + | 0.988512i | \(0.451705\pi\) | |||||||
\(830\) | −767839. | + | 5.84723e6i | −0.0386879 | + | 0.294615i | ||||
\(831\) | −7.35982e6 | + | 3.89230e6i | −0.369713 | + | 0.195526i | ||||
\(832\) | −1.05915e7 | + | 2.70102e6i | −0.530455 | + | 0.135275i | ||||
\(833\) | −2.38256e7 | −1.18968 | ||||||||
\(834\) | −2.67359e7 | − | 7.03552e6i | −1.33100 | − | 0.350252i | ||||
\(835\) | 1.46518e6 | + | 2.08207e6i | 0.0727234 | + | 0.103343i | ||||
\(836\) | −2.06271e7 | + | 1.72081e6i | −1.02076 | + | 0.0851563i | ||||
\(837\) | −1.00744e6 | + | 9.00632e6i | −0.0497059 | + | 0.444359i | ||||
\(838\) | −2.01828e6 | − | 1.85692e6i | −0.0992824 | − | 0.0913447i | ||||
\(839\) | 2.91948e6 | 0.143186 | 0.0715930 | − | 0.997434i | \(-0.477192\pi\) | ||||
0.0715930 | + | 0.997434i | \(0.477192\pi\) | |||||||
\(840\) | −3.04402e7 | + | 1.42983e7i | −1.48850 | + | 0.699175i | ||||
\(841\) | 1.37906e7 | 0.672349 | ||||||||
\(842\) | 2.03487e6 | + | 1.87218e6i | 0.0989135 | + | 0.0910053i | ||||
\(843\) | −2.01226e6 | + | 1.06420e6i | −0.0975246 | + | 0.0515767i | ||||
\(844\) | −4.04738e7 | + | 3.37651e6i | −1.95577 | + | 0.163159i | ||||
\(845\) | 1.18874e7 | − | 8.36529e6i | 0.572723 | − | 0.403032i | ||||
\(846\) | −4.38688e6 | − | 1.88078e7i | −0.210732 | − | 0.903466i | ||||
\(847\) | 4.30360e7 | 2.06121 | ||||||||
\(848\) | 3.00862e7 | − | 5.05504e6i | 1.43674 | − | 0.241399i | ||||
\(849\) | 1.06009e7 | + | 2.00449e7i | 0.504748 | + | 0.954411i | ||||
\(850\) | 1.30228e7 | − | 6.82363e6i | 0.618241 | − | 0.323943i | ||||
\(851\) | 2.88985e7 | 1.36789 | ||||||||
\(852\) | −1.50620e7 | + | 9.64789e6i | −0.710861 | + | 0.455337i | ||||
\(853\) | − | 1.89077e7i | − | 0.889747i | −0.895593 | − | 0.444874i | \(-0.853249\pi\) | ||
0.895593 | − | 0.444874i | \(-0.146751\pi\) | |||||||
\(854\) | 1.49796e7 | + | 1.37819e7i | 0.702836 | + | 0.646644i | ||||
\(855\) | −1.45840e7 | + | 223871.i | −0.682277 | + | 0.0104733i | ||||
\(856\) | 2.07251e7 | + | 1.61031e7i | 0.966746 | + | 0.751149i | ||||
\(857\) | −2.19976e7 | −1.02311 | −0.511557 | − | 0.859250i | \(-0.670931\pi\) | ||||
−0.511557 | + | 0.859250i | \(0.670931\pi\) | |||||||
\(858\) | 1.71366e7 | + | 4.50949e6i | 0.794708 | + | 0.209127i | ||||
\(859\) | 1.68129e7i | 0.777428i | 0.921359 | + | 0.388714i | \(0.127081\pi\) | ||||
−0.921359 | + | 0.388714i | \(0.872919\pi\) | |||||||
\(860\) | −2.11594e6 | − | 2.53034e6i | −0.0975567 | − | 0.116663i | ||||
\(861\) | 1.96573e6 | − | 1.03959e6i | 0.0903681 | − | 0.0477919i | ||||
\(862\) | −7.24026e6 | − | 6.66139e6i | −0.331884 | − | 0.305349i | ||||
\(863\) | 1.88366e7i | 0.860947i | 0.902603 | + | 0.430474i | \(0.141653\pi\) | ||||
−0.902603 | + | 0.430474i | \(0.858347\pi\) | |||||||
\(864\) | 1.69409e7 | + | 1.39454e7i | 0.772063 | + | 0.635546i | ||||
\(865\) | −3.52815e6 | + | 2.48280e6i | −0.160327 | + | 0.112824i | ||||
\(866\) | −1.11741e7 | + | 1.21451e7i | −0.506311 | + | 0.550309i | ||||
\(867\) | 5.30659e6 | + | 1.00341e7i | 0.239755 | + | 0.453345i | ||||
\(868\) | −1.62656e7 | + | 1.35695e6i | −0.732775 | + | 0.0611315i | ||||
\(869\) | − | 1.26374e7i | − | 0.567687i | ||||||
\(870\) | 1.19784e7 | − | 4.45268e6i | 0.536538 | − | 0.199445i | ||||
\(871\) | 289874.i | 0.0129469i | ||||||||
\(872\) | 2.14818e7 | − | 2.76475e7i | 0.956707 | − | 1.23130i | ||||
\(873\) | −3.40642e7 | − | 2.31979e7i | −1.51274 | − | 1.03018i | ||||
\(874\) | −1.33696e7 | − | 1.23007e7i | −0.592025 | − | 0.544692i | ||||
\(875\) | −9.89269e6 | − | 3.59067e7i | −0.436812 | − | 1.58546i | ||||
\(876\) | −1.00056e7 | − | 1.56205e7i | −0.440538 | − | 0.687756i | ||||
\(877\) | 3.84778e7i | 1.68932i | 0.535307 | + | 0.844658i | \(0.320196\pi\) | ||||
−0.535307 | + | 0.844658i | \(0.679804\pi\) | |||||||
\(878\) | −2.23517e7 | + | 2.42941e7i | −0.978532 | + | 1.06356i | ||||
\(879\) | −1.12430e6 | − | 2.12589e6i | −0.0490804 | − | 0.0928045i | ||||
\(880\) | −2.45233e7 | + | 2.42443e7i | −1.06751 | + | 1.05536i | ||||
\(881\) | − | 3.35862e7i | − | 1.45788i | −0.684578 | − | 0.728939i | \(-0.740014\pi\) | ||
0.684578 | − | 0.728939i | \(-0.259986\pi\) | |||||||
\(882\) | 3.83497e7 | − | 8.94499e6i | 1.65993 | − | 0.387176i | ||||
\(883\) | −4.76395e6 | −0.205620 | −0.102810 | − | 0.994701i | \(-0.532783\pi\) | ||||
−0.102810 | + | 0.994701i | \(0.532783\pi\) | |||||||
\(884\) | −8.84689e6 | + | 738049.i | −0.380768 | + | 0.0317654i | ||||
\(885\) | −1.56773e7 | − | 7.98559e6i | −0.672843 | − | 0.342727i | ||||
\(886\) | 1.14801e7 | − | 1.24777e7i | 0.491317 | − | 0.534012i | ||||
\(887\) | − | 1.86937e7i | − | 0.797786i | −0.916997 | − | 0.398893i | \(-0.869394\pi\) | ||
0.916997 | − | 0.398893i | \(-0.130606\pi\) | |||||||
\(888\) | 4.72220e6 | − | 2.68515e7i | 0.200961 | − | 1.14271i | ||||
\(889\) | 4.12104e7 | 1.74885 | ||||||||
\(890\) | 1.23058e6 | − | 9.37109e6i | 0.0520757 | − | 0.396566i | ||||
\(891\) | −1.30314e7 | − | 3.30993e7i | −0.549918 | − | 1.39677i | ||||
\(892\) | −1.87311e6 | − | 2.24527e7i | −0.0788228 | − | 0.944837i | ||||
\(893\) | 1.50854e7 | 0.633035 | ||||||||
\(894\) | −8.22842e6 | − | 2.16530e6i | −0.344328 | − | 0.0906097i | ||||
\(895\) | −1.23572e7 | + | 8.69588e6i | −0.515658 | + | 0.362874i | ||||
\(896\) | −1.87413e7 | + | 3.47932e7i | −0.779883 | + | 1.44785i | ||||
\(897\) | 7.27109e6 | + | 1.37487e7i | 0.301730 | + | 0.570531i | ||||
\(898\) | −3.11833e7 | + | 3.38931e7i | −1.29042 | + | 1.40256i | ||||
\(899\) | 6.20211e6 | 0.255941 | ||||||||
\(900\) | −1.83998e7 | + | 1.58726e7i | −0.757191 | + | 0.653193i | ||||
\(901\) | 2.47782e7 | 1.01685 | ||||||||
\(902\) | 1.54382e6 | − | 1.67797e6i | 0.0631799 | − | 0.0686702i | ||||
\(903\) | 2.86492e6 | + | 5.41719e6i | 0.116921 | + | 0.221083i | ||||
\(904\) | −8.29061e6 | + | 1.06702e7i | −0.337416 | + | 0.434262i | ||||
\(905\) | −2.95297e7 | + | 2.07804e7i | −1.19850 | + | 0.843398i | ||||
\(906\) | 6.31431e6 | + | 1.66161e6i | 0.255567 | + | 0.0672524i | ||||
\(907\) | 2.70697e7 | 1.09261 | 0.546305 | − | 0.837587i | \(-0.316034\pi\) | ||||
0.546305 | + | 0.837587i | \(0.316034\pi\) | |||||||
\(908\) | −2.78360e6 | + | 232221.i | −0.112045 | + | 0.00934731i | ||||
\(909\) | −2.57284e7 | − | 1.75212e7i | −1.03277 | − | 0.703321i | ||||
\(910\) | −2.92809e6 | + | 2.22979e7i | −0.117214 | + | 0.892606i | ||||
\(911\) | 3.59185e7 | 1.43391 | 0.716956 | − | 0.697119i | \(-0.245535\pi\) | ||||
0.716956 | + | 0.697119i | \(0.245535\pi\) | |||||||
\(912\) | −1.36140e7 | + | 1.04126e7i | −0.542001 | + | 0.414543i | ||||
\(913\) | − | 1.12347e7i | − | 0.446050i | ||||||
\(914\) | 2.09405e7 | − | 2.27602e7i | 0.829128 | − | 0.901178i | ||||
\(915\) | 1.31053e7 | + | 6.67546e6i | 0.517479 | + | 0.263590i | ||||
\(916\) | 1.62463e6 | + | 1.94742e7i | 0.0639756 | + | 0.766867i | ||||
\(917\) | 2.92070e6 | 0.114700 | ||||||||
\(918\) | 1.16924e7 | + | 1.34496e7i | 0.457926 | + | 0.526749i | ||||
\(919\) | − | 1.80991e7i | − | 0.706916i | −0.935450 | − | 0.353458i | \(-0.885006\pi\) | ||
0.935450 | − | 0.353458i | \(-0.114994\pi\) | |||||||
\(920\) | −3.02332e7 | − | 1.43224e6i | −1.17765 | − | 0.0557888i | ||||
\(921\) | 6.04121e6 | + | 1.14231e7i | 0.234679 | + | 0.443747i | ||||
\(922\) | −2.66984e7 | + | 2.90185e7i | −1.03433 | + | 1.12421i | ||||
\(923\) | 1.19612e7i | 0.462136i | ||||||||
\(924\) | 5.39491e7 | − | 3.45567e7i | 2.07876 | − | 1.33154i | ||||
\(925\) | 2.84202e7 | + | 1.01933e7i | 1.09212 | + | 0.391704i | ||||
\(926\) | 1.19653e7 | + | 1.10086e7i | 0.458559 | + | 0.421896i | ||||
\(927\) | −1.22817e6 | + | 1.80347e6i | −0.0469419 | + | 0.0689304i | ||||
\(928\) | 8.19582e6 | − | 1.25830e7i | 0.312408 | − | 0.479638i | ||||
\(929\) | 4.18892e7i | 1.59244i | 0.605007 | + | 0.796220i | \(0.293170\pi\) | ||||
−0.605007 | + | 0.796220i | \(0.706830\pi\) | |||||||
\(930\) | −1.10544e7 | + | 4.10921e6i | −0.419111 | + | 0.155794i | ||||
\(931\) | 3.07596e7i | 1.16307i | ||||||||
\(932\) | 2.07009e6 | + | 2.48138e7i | 0.0780637 | + | 0.935738i | ||||
\(933\) | −1.30442e7 | − | 2.46649e7i | −0.490585 | − | 0.927631i | ||||
\(934\) | 869756. | − | 945337.i | 0.0326235 | − | 0.0354584i | ||||
\(935\) | −2.29050e7 | + | 1.61185e7i | −0.856844 | + | 0.602971i | ||||
\(936\) | 1.39629e7 | − | 4.50942e6i | 0.520938 | − | 0.168241i | ||||
\(937\) | − | 2.51466e7i | − | 0.935687i | −0.883811 | − | 0.467843i | \(-0.845031\pi\) | ||
0.883811 | − | 0.467843i | \(-0.154969\pi\) | |||||||
\(938\) | 771278. | + | 709614.i | 0.0286223 | + | 0.0263339i | ||||
\(939\) | 5.76817e6 | − | 3.05054e6i | 0.213488 | − | 0.112905i | ||||
\(940\) | 1.92798e7 | − | 1.61223e7i | 0.711678 | − | 0.595125i | ||||
\(941\) | 6.28514e6i | 0.231388i | 0.993285 | + | 0.115694i | \(0.0369092\pi\) | ||||
−0.993285 | + | 0.115694i | \(0.963091\pi\) | |||||||
\(942\) | 4.01220e7 | + | 1.05581e7i | 1.47318 | + | 0.387665i | ||||
\(943\) | 2.00127e6 | 0.0732870 | ||||||||
\(944\) | −2.03887e7 | + | 3.42569e6i | −0.744664 | + | 0.125118i | ||||
\(945\) | 3.95802e7 | − | 2.17162e7i | 1.44178 | − | 0.791051i | ||||
\(946\) | 4.62419e6 | + | 4.25448e6i | 0.167999 | + | 0.154568i | ||||
\(947\) | − | 9.88062e6i | − | 0.358022i | −0.983847 | − | 0.179011i | \(-0.942710\pi\) | ||
0.983847 | − | 0.179011i | \(-0.0572897\pi\) | |||||||
\(948\) | −5.64426e6 | − | 8.81167e6i | −0.203979 | − | 0.318447i | ||||
\(949\) | −1.24047e7 | −0.447115 | ||||||||
\(950\) | −8.80953e6 | − | 1.68129e7i | −0.316697 | − | 0.604413i | ||||
\(951\) | 7.16751e6 | + | 1.35528e7i | 0.256990 | + | 0.485934i | ||||
\(952\) | −1.96935e7 | + | 2.53459e7i | −0.704255 | + | 0.906392i | ||||
\(953\) | −2.00461e7 | −0.714987 | −0.357493 | − | 0.933916i | \(-0.616369\pi\) | ||||
−0.357493 | + | 0.933916i | \(0.616369\pi\) | |||||||
\(954\) | −3.98832e7 | + | 9.30267e6i | −1.41879 | + | 0.330930i | ||||
\(955\) | 3.39829e7 | − | 2.39141e7i | 1.20573 | − | 0.848489i | ||||
\(956\) | −131345. | − | 1.57442e6i | −0.00464803 | − | 0.0557153i | ||||
\(957\) | −2.15204e7 | + | 1.13812e7i | −0.759574 | + | 0.401707i | ||||
\(958\) | 2.92007e7 | + | 2.68661e7i | 1.02797 | + | 0.945782i | ||||
\(959\) | −1.87738e7 | −0.659184 | ||||||||
\(960\) | −6.27109e6 | + | 2.78576e7i | −0.219616 | + | 0.975586i | ||||
\(961\) | 2.29055e7 | 0.800075 | ||||||||
\(962\) | −1.34166e7 | − | 1.23440e7i | −0.467419 | − | 0.430048i | ||||
\(963\) | −2.91209e7 | − | 1.98315e7i | −1.01190 | − | 0.689111i | ||||
\(964\) | −1.18958e6 | − | 1.42593e7i | −0.0412287 | − | 0.494203i | ||||
\(965\) | 7.64004e6 | + | 1.08568e7i | 0.264106 | + | 0.375304i | ||||
\(966\) | 5.43811e7 | + | 1.43104e7i | 1.87502 | + | 0.493410i | ||||
\(967\) | −2.43086e7 | −0.835974 | −0.417987 | − | 0.908453i | \(-0.637264\pi\) | ||||
−0.417987 | + | 0.908453i | \(0.637264\pi\) | |||||||
\(968\) | 2.24192e7 | − | 2.88540e7i | 0.769009 | − | 0.989732i | ||||
\(969\) | −1.23057e7 | + | 6.50795e6i | −0.421013 | + | 0.222656i | ||||
\(970\) | 6.98290e6 | − | 5.31760e7i | 0.238290 | − | 1.81462i | ||||
\(971\) | 9.39785e6 | 0.319875 | 0.159938 | − | 0.987127i | \(-0.448871\pi\) | ||||
0.159938 | + | 0.987127i | \(0.448871\pi\) | |||||||
\(972\) | −2.38696e7 | − | 1.72588e7i | −0.810361 | − | 0.585931i | ||||
\(973\) | 6.68410e7i | 2.26340i | ||||||||
\(974\) | 3.51829e6 | + | 3.23700e6i | 0.118832 | + | 0.109332i | ||||
\(975\) | 2.30122e6 | + | 1.60858e7i | 0.0775259 | + | 0.541914i | ||||
\(976\) | 1.70437e7 | − | 2.86367e6i | 0.572717 | − | 0.0962272i | ||||
\(977\) | 3.99502e7 | 1.33901 | 0.669503 | − | 0.742810i | \(-0.266507\pi\) | ||||
0.669503 | + | 0.742810i | \(0.266507\pi\) | |||||||
\(978\) | −8.78516e6 | + | 3.33847e7i | −0.293699 | + | 1.11609i | ||||
\(979\) | 1.80053e7i | 0.600405i | ||||||||
\(980\) | 3.28740e7 | + | 3.93122e7i | 1.09342 | + | 1.30756i | ||||
\(981\) | −2.64554e7 | + | 3.88476e7i | −0.877692 | + | 1.28882i | ||||
\(982\) | −2.76570e7 | − | 2.54458e7i | −0.915220 | − | 0.842048i | ||||
\(983\) | 2.33886e7i | 0.772006i | 0.922498 | + | 0.386003i | \(0.126145\pi\) | ||||
−0.922498 | + | 0.386003i | \(0.873855\pi\) | |||||||
\(984\) | 327021. | − | 1.85951e6i | 0.0107668 | − | 0.0612225i | ||||
\(985\) | −2.35260e7 | + | 1.65555e7i | −0.772604 | + | 0.543690i | ||||
\(986\) | 8.25794e6 | − | 8.97554e6i | 0.270508 | − | 0.294014i | ||||
\(987\) | −4.12761e7 | + | 2.18292e7i | −1.34867 | + | 0.713255i | ||||
\(988\) | 952846. | + | 1.14216e7i | 0.0310549 | + | 0.372251i | ||||
\(989\) | 5.51515e6i | 0.179294i | ||||||||
\(990\) | 3.08165e7 | − | 3.45438e7i | 0.999300 | − | 1.12017i | ||||
\(991\) | − | 4.30197e7i | − | 1.39150i | −0.718285 | − | 0.695749i | \(-0.755072\pi\) | ||
0.718285 | − | 0.695749i | \(-0.244928\pi\) | |||||||
\(992\) | −7.56362e6 | + | 1.16124e7i | −0.244034 | + | 0.374664i | ||||
\(993\) | 3.70248e7 | − | 1.95809e7i | 1.19157 | − | 0.630171i | ||||
\(994\) | 3.18255e7 | + | 2.92810e7i | 1.02167 | + | 0.939983i | ||||
\(995\) | −7.58767e6 | − | 1.07824e7i | −0.242969 | − | 0.345268i | ||||
\(996\) | −5.01775e6 | − | 7.83359e6i | −0.160273 | − | 0.250214i | ||||
\(997\) | − | 1.07937e6i | − | 0.0343901i | −0.999852 | − | 0.0171950i | \(-0.994526\pi\) | ||
0.999852 | − | 0.0171950i | \(-0.00547362\pi\) | |||||||
\(998\) | −5.68461e6 | + | 6.17859e6i | −0.180665 | + | 0.196364i | ||||
\(999\) | −4.06853e6 | + | 3.63717e7i | −0.128980 | + | 1.15305i |
(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 | 60.6.h.c.59.9 | ✓ | 48 | |
3.2 | odd | 2 | inner | 60.6.h.c.59.39 | yes | 48 | |
4.3 | odd | 2 | inner | 60.6.h.c.59.12 | yes | 48 | |
5.4 | even | 2 | inner | 60.6.h.c.59.40 | yes | 48 | |
12.11 | even | 2 | inner | 60.6.h.c.59.38 | yes | 48 | |
15.14 | odd | 2 | inner | 60.6.h.c.59.10 | yes | 48 | |
20.19 | odd | 2 | inner | 60.6.h.c.59.37 | yes | 48 | |
60.59 | even | 2 | inner | 60.6.h.c.59.11 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.6.h.c.59.9 | ✓ | 48 | 1.1 | even | 1 | trivial | |
60.6.h.c.59.10 | yes | 48 | 15.14 | odd | 2 | inner | |
60.6.h.c.59.11 | yes | 48 | 60.59 | even | 2 | inner | |
60.6.h.c.59.12 | yes | 48 | 4.3 | odd | 2 | inner | |
60.6.h.c.59.37 | yes | 48 | 20.19 | odd | 2 | inner | |
60.6.h.c.59.38 | yes | 48 | 12.11 | even | 2 | inner | |
60.6.h.c.59.39 | yes | 48 | 3.2 | odd | 2 | inner | |
60.6.h.c.59.40 | yes | 48 | 5.4 | even | 2 | inner |