Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,6,Mod(3,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 40 = 2^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 40.k (of order \(4\), 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: | \(6.41535279252\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 40.3 |
Dual form | 40.6.k.a.27.8 |
$q$-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 \(\left(\mathbb{Z}/40\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.87156 | − | 4.12444i | −0.684402 | − | 0.729105i | ||||
\(3\) | −18.3638 | − | 18.3638i | −1.17804 | − | 1.17804i | −0.980244 | − | 0.197792i | \(-0.936623\pi\) |
−0.197792 | − | 0.980244i | \(-0.563377\pi\) | |||||||
\(4\) | −2.02198 | + | 31.9361i | −0.0631868 | + | 0.998002i | ||||
\(5\) | −43.5466 | − | 35.0528i | −0.778985 | − | 0.627043i | ||||
\(6\) | −4.64371 | + | 146.837i | −0.0526608 | + | 1.66516i | ||||
\(7\) | −112.979 | − | 112.979i | −0.871467 | − | 0.871467i | 0.121166 | − | 0.992632i | \(-0.461337\pi\) |
−0.992632 | + | 0.121166i | \(0.961337\pi\) | |||||||
\(8\) | 139.546 | − | 115.303i | 0.770893 | − | 0.636965i | ||||
\(9\) | 431.456i | 1.77554i | ||||||||
\(10\) | 24.0203 | + | 315.314i | 0.0759590 | + | 0.997111i | ||||
\(11\) | 564.643 | 1.40699 | 0.703497 | − | 0.710699i | \(-0.251621\pi\) | ||||
0.703497 | + | 0.710699i | \(0.251621\pi\) | |||||||
\(12\) | 623.597 | − | 549.335i | 1.25012 | − | 1.10125i | ||||
\(13\) | 181.168 | − | 181.168i | 0.297319 | − | 0.297319i | −0.542644 | − | 0.839963i | \(-0.682577\pi\) |
0.839963 | + | 0.542644i | \(0.182577\pi\) | |||||||
\(14\) | −28.5693 | + | 903.377i | −0.0389564 | + | 1.23182i | ||||
\(15\) | 155.978 | + | 1443.38i | 0.178993 | + | 1.65635i | ||||
\(16\) | −1015.82 | − | 129.148i | −0.992015 | − | 0.126121i | ||||
\(17\) | −994.839 | + | 994.839i | −0.834893 | + | 0.834893i | −0.988181 | − | 0.153289i | \(-0.951013\pi\) |
0.153289 | + | 0.988181i | \(0.451013\pi\) | |||||||
\(18\) | 1779.51 | − | 1670.41i | 1.29455 | − | 1.21518i | ||||
\(19\) | − | 1892.29i | − | 1.20255i | −0.799042 | − | 0.601275i | \(-0.794660\pi\) | ||
0.799042 | − | 0.601275i | \(-0.205340\pi\) | |||||||
\(20\) | 1207.50 | − | 1319.83i | 0.675012 | − | 0.737807i | ||||
\(21\) | 4149.42i | 2.05324i | ||||||||
\(22\) | −2186.05 | − | 2328.83i | −0.962949 | − | 1.02584i | ||||
\(23\) | −781.175 | + | 781.175i | −0.307914 | + | 0.307914i | −0.844100 | − | 0.536186i | \(-0.819865\pi\) |
0.536186 | + | 0.844100i | \(0.319865\pi\) | |||||||
\(24\) | −4680.00 | − | 445.202i | −1.65851 | − | 0.157772i | ||||
\(25\) | 667.606 | + | 3052.86i | 0.213634 | + | 0.976914i | ||||
\(26\) | −1448.62 | − | 45.8126i | −0.420263 | − | 0.0132908i | ||||
\(27\) | 3460.76 | − | 3460.76i | 0.913613 | − | 0.913613i | ||||
\(28\) | 3836.53 | − | 3379.65i | 0.924790 | − | 0.814660i | ||||
\(29\) | −4664.12 | −1.02985 | −0.514926 | − | 0.857235i | \(-0.672181\pi\) | ||||
−0.514926 | + | 0.857235i | \(0.672181\pi\) | |||||||
\(30\) | 5349.25 | − | 6231.46i | 1.08515 | − | 1.26412i | ||||
\(31\) | − | 1584.47i | − | 0.296128i | −0.988978 | − | 0.148064i | \(-0.952696\pi\) | ||
0.988978 | − | 0.148064i | \(-0.0473042\pi\) | |||||||
\(32\) | 3400.16 | + | 4689.70i | 0.586982 | + | 0.809600i | ||||
\(33\) | −10369.0 | − | 10369.0i | −1.65749 | − | 1.65749i | ||||
\(34\) | 7954.74 | + | 251.569i | 1.18013 | + | 0.0373215i | ||||
\(35\) | 959.616 | + | 8880.04i | 0.132412 | + | 1.22531i | ||||
\(36\) | −13779.0 | − | 872.394i | −1.77199 | − | 0.112191i | ||||
\(37\) | 1140.25 | + | 1140.25i | 0.136929 | + | 0.136929i | 0.772249 | − | 0.635320i | \(-0.219132\pi\) |
−0.635320 | + | 0.772249i | \(0.719132\pi\) | |||||||
\(38\) | −7804.62 | + | 7326.11i | −0.876784 | + | 0.823028i | ||||
\(39\) | −6653.86 | −0.700506 | ||||||||
\(40\) | −10118.5 | + | 129.556i | −0.999918 | + | 0.0128029i | ||||
\(41\) | 3173.58 | 0.294842 | 0.147421 | − | 0.989074i | \(-0.452903\pi\) | ||||
0.147421 | + | 0.989074i | \(0.452903\pi\) | |||||||
\(42\) | 17114.0 | − | 16064.8i | 1.49703 | − | 1.40524i | ||||
\(43\) | −2117.52 | − | 2117.52i | −0.174645 | − | 0.174645i | 0.614371 | − | 0.789017i | \(-0.289410\pi\) |
−0.789017 | + | 0.614371i | \(0.789410\pi\) | |||||||
\(44\) | −1141.69 | + | 18032.5i | −0.0889034 | + | 1.40418i | ||||
\(45\) | 15123.7 | − | 18788.4i | 1.11334 | − | 1.38312i | ||||
\(46\) | 6246.28 | + | 197.539i | 0.435238 | + | 0.0137644i | ||||
\(47\) | 17005.4 | + | 17005.4i | 1.12290 | + | 1.12290i | 0.991303 | + | 0.131597i | \(0.0420106\pi\) |
0.131597 | + | 0.991303i | \(0.457989\pi\) | |||||||
\(48\) | 16282.7 | + | 21026.0i | 1.02005 | + | 1.31720i | ||||
\(49\) | 8721.29i | 0.518908i | ||||||||
\(50\) | 10006.6 | − | 14572.8i | 0.566061 | − | 0.824364i | ||||
\(51\) | 36538.0 | 1.96707 | ||||||||
\(52\) | 5419.48 | + | 6152.11i | 0.277939 | + | 0.315512i | ||||
\(53\) | −12399.1 | + | 12399.1i | −0.606316 | + | 0.606316i | −0.941981 | − | 0.335665i | \(-0.891039\pi\) |
0.335665 | + | 0.941981i | \(0.391039\pi\) | |||||||
\(54\) | −27672.2 | − | 875.135i | −1.29140 | − | 0.0408404i | ||||
\(55\) | −24588.2 | − | 19792.3i | −1.09603 | − | 0.882245i | ||||
\(56\) | −28792.5 | − | 2739.00i | −1.22690 | − | 0.116714i | ||||
\(57\) | −34749.5 | + | 34749.5i | −1.41665 | + | 1.41665i | ||||
\(58\) | 18057.4 | + | 19236.9i | 0.704833 | + | 0.750870i | ||||
\(59\) | − | 15914.9i | − | 0.595216i | −0.954688 | − | 0.297608i | \(-0.903811\pi\) | ||
0.954688 | − | 0.297608i | \(-0.0961889\pi\) | |||||||
\(60\) | −46411.2 | + | 2062.84i | −1.66435 | + | 0.0739754i | ||||
\(61\) | 2790.00i | 0.0960020i | 0.998847 | + | 0.0480010i | \(0.0152851\pi\) | ||||
−0.998847 | + | 0.0480010i | \(0.984715\pi\) | |||||||
\(62\) | −6535.05 | + | 6134.38i | −0.215909 | + | 0.202671i | ||||
\(63\) | 48745.2 | − | 48745.2i | 1.54732 | − | 1.54732i | ||||
\(64\) | 6178.45 | − | 32180.3i | 0.188551 | − | 0.982063i | ||||
\(65\) | −14239.7 | + | 1538.80i | −0.418039 | + | 0.0451752i | ||||
\(66\) | −2622.04 | + | 82910.3i | −0.0740933 | + | 2.34287i | ||||
\(67\) | 1758.54 | − | 1758.54i | 0.0478593 | − | 0.0478593i | −0.682772 | − | 0.730631i | \(-0.739226\pi\) |
0.730631 | + | 0.682772i | \(0.239226\pi\) | |||||||
\(68\) | −29759.7 | − | 33782.8i | −0.780470 | − | 0.885978i | ||||
\(69\) | 28690.6 | 0.725467 | ||||||||
\(70\) | 32909.9 | − | 38337.5i | 0.802753 | − | 0.935145i | ||||
\(71\) | − | 10081.7i | − | 0.237350i | −0.992933 | − | 0.118675i | \(-0.962135\pi\) | ||
0.992933 | − | 0.118675i | \(-0.0378647\pi\) | |||||||
\(72\) | 49748.1 | + | 60208.2i | 1.13096 | + | 1.36875i | ||||
\(73\) | −236.094 | − | 236.094i | −0.00518534 | − | 0.00518534i | 0.704509 | − | 0.709695i | \(-0.251167\pi\) |
−0.709695 | + | 0.704509i | \(0.751167\pi\) | |||||||
\(74\) | 288.339 | − | 9117.43i | 0.00612102 | − | 0.193550i | ||||
\(75\) | 43802.2 | − | 68321.7i | 0.899171 | − | 1.40251i | ||||
\(76\) | 60432.2 | + | 3826.16i | 1.20015 | + | 0.0759852i | ||||
\(77\) | −63792.5 | − | 63792.5i | −1.22615 | − | 1.22615i | ||||
\(78\) | 25760.8 | + | 27443.4i | 0.479428 | + | 0.510742i | ||||
\(79\) | −88128.5 | −1.58872 | −0.794362 | − | 0.607445i | \(-0.792195\pi\) | ||||
−0.794362 | + | 0.607445i | \(0.792195\pi\) | |||||||
\(80\) | 39708.6 | + | 41231.4i | 0.693681 | + | 0.720282i | ||||
\(81\) | −22261.4 | −0.376999 | ||||||||
\(82\) | −12286.7 | − | 13089.2i | −0.201791 | − | 0.214971i | ||||
\(83\) | −43374.7 | − | 43374.7i | −0.691100 | − | 0.691100i | 0.271374 | − | 0.962474i | \(-0.412522\pi\) |
−0.962474 | + | 0.271374i | \(0.912522\pi\) | |||||||
\(84\) | −132516. | − | 8390.04i | −2.04914 | − | 0.129738i | ||||
\(85\) | 78193.7 | − | 8449.95i | 1.17388 | − | 0.126855i | ||||
\(86\) | −535.466 | + | 16931.7i | −0.00780703 | + | 0.246862i | ||||
\(87\) | 85650.8 | + | 85650.8i | 1.21320 | + | 1.21320i | ||||
\(88\) | 78793.9 | − | 65105.0i | 1.08464 | − | 0.896205i | ||||
\(89\) | 38471.3i | 0.514827i | 0.966301 | + | 0.257414i | \(0.0828703\pi\) | ||||
−0.966301 | + | 0.257414i | \(0.917130\pi\) | |||||||
\(90\) | −136044. | + | 10363.7i | −1.77041 | + | 0.134868i | ||||
\(91\) | −40936.2 | −0.518208 | ||||||||
\(92\) | −23368.1 | − | 26527.2i | −0.287842 | − | 0.326754i | ||||
\(93\) | −29096.9 | + | 29096.9i | −0.348850 | + | 0.348850i | ||||
\(94\) | 4300.21 | − | 135975.i | 0.0501961 | − | 1.58723i | ||||
\(95\) | −66329.9 | + | 82402.6i | −0.754050 | + | 0.936767i | ||||
\(96\) | 23680.9 | − | 148560.i | 0.262252 | − | 1.64522i | ||||
\(97\) | 82579.2 | − | 82579.2i | 0.891131 | − | 0.891131i | −0.103499 | − | 0.994630i | \(-0.533004\pi\) |
0.994630 | + | 0.103499i | \(0.0330037\pi\) | |||||||
\(98\) | 35970.4 | − | 33765.0i | 0.378338 | − | 0.355142i | ||||
\(99\) | 243618.i | 2.49817i | ||||||||
\(100\) | −98846.0 | + | 15147.9i | −0.988460 | + | 0.151479i | ||||
\(101\) | 178258.i | 1.73879i | 0.494119 | + | 0.869394i | \(0.335491\pi\) | ||||
−0.494119 | + | 0.869394i | \(0.664509\pi\) | |||||||
\(102\) | −141459. | − | 150699.i | −1.34627 | − | 1.43420i | ||||
\(103\) | −17025.6 | + | 17025.6i | −0.158128 | + | 0.158128i | −0.781737 | − | 0.623609i | \(-0.785666\pi\) |
0.623609 | + | 0.781737i | \(0.285666\pi\) | |||||||
\(104\) | 4392.15 | − | 46170.6i | 0.0398193 | − | 0.418583i | ||||
\(105\) | 145449. | − | 180693.i | 1.28747 | − | 1.59944i | ||||
\(106\) | 99143.0 | + | 3135.40i | 0.857032 | + | 0.0271036i | ||||
\(107\) | −148967. | + | 148967.i | −1.25786 | + | 1.25786i | −0.305744 | + | 0.952114i | \(0.598905\pi\) |
−0.952114 | + | 0.305744i | \(0.901095\pi\) | |||||||
\(108\) | 103525. | + | 117521.i | 0.854059 | + | 0.969515i | ||||
\(109\) | −121955. | −0.983179 | −0.491589 | − | 0.870827i | \(-0.663584\pi\) | ||||
−0.491589 | + | 0.870827i | \(0.663584\pi\) | |||||||
\(110\) | 13562.9 | + | 178040.i | 0.106874 | + | 1.40293i | ||||
\(111\) | − | 41878.5i | − | 0.322615i | ||||||
\(112\) | 100175. | + | 129357.i | 0.754598 | + | 0.974418i | ||||
\(113\) | 8213.03 | + | 8213.03i | 0.0605073 | + | 0.0605073i | 0.736713 | − | 0.676206i | \(-0.236377\pi\) |
−0.676206 | + | 0.736713i | \(0.736377\pi\) | |||||||
\(114\) | 277857. | + | 8787.23i | 2.00244 | + | 0.0633272i | ||||
\(115\) | 61399.9 | − | 6635.14i | 0.432935 | − | 0.0467849i | ||||
\(116\) | 9430.75 | − | 148954.i | 0.0650731 | − | 1.02779i | ||||
\(117\) | 78166.0 | + | 78166.0i | 0.527902 | + | 0.527902i | ||||
\(118\) | −65640.1 | + | 61615.7i | −0.433975 | + | 0.407367i | ||||
\(119\) | 224791. | 1.45516 | ||||||||
\(120\) | 188192. | + | 183434.i | 1.19302 | + | 1.16286i | ||||
\(121\) | 157770. | 0.979629 | ||||||||
\(122\) | 11507.2 | − | 10801.7i | 0.0699955 | − | 0.0657040i | ||||
\(123\) | −58278.8 | − | 58278.8i | −0.347335 | − | 0.347335i | ||||
\(124\) | 50601.8 | + | 3203.77i | 0.295537 | + | 0.0187114i | ||||
\(125\) | 77939.1 | − | 156343.i | 0.446149 | − | 0.894958i | ||||
\(126\) | −389767. | − | 12326.4i | −2.18715 | − | 0.0691687i | ||||
\(127\) | −125043. | − | 125043.i | −0.687941 | − | 0.687941i | 0.273835 | − | 0.961777i | \(-0.411708\pi\) |
−0.961777 | + | 0.273835i | \(0.911708\pi\) | |||||||
\(128\) | −156646. | + | 99105.3i | −0.845072 | + | 0.534653i | ||||
\(129\) | 77771.4i | 0.411477i | ||||||||
\(130\) | 61476.6 | + | 52773.1i | 0.319044 | + | 0.273876i | ||||
\(131\) | −238712. | −1.21533 | −0.607666 | − | 0.794192i | \(-0.707894\pi\) | ||||
−0.607666 | + | 0.794192i | \(0.707894\pi\) | |||||||
\(132\) | 352110. | − | 310178.i | 1.75891 | − | 1.54945i | ||||
\(133\) | −213788. | + | 213788.i | −1.04798 | + | 1.04798i | ||||
\(134\) | −14061.3 | − | 444.689i | −0.0676494 | − | 0.00213941i | ||||
\(135\) | −272013. | + | 29395.0i | −1.28456 | + | 0.138816i | ||||
\(136\) | −24118.4 | + | 253534.i | −0.111815 | + | 1.17541i | ||||
\(137\) | −83771.4 | + | 83771.4i | −0.381324 | + | 0.381324i | −0.871579 | − | 0.490255i | \(-0.836904\pi\) |
0.490255 | + | 0.871579i | \(0.336904\pi\) | |||||||
\(138\) | −111078. | − | 118333.i | −0.496511 | − | 0.528941i | ||||
\(139\) | − | 136221.i | − | 0.598006i | −0.954252 | − | 0.299003i | \(-0.903346\pi\) | ||
0.954252 | − | 0.299003i | \(-0.0966541\pi\) | |||||||
\(140\) | −285534. | + | 12691.1i | −1.23122 | + | 0.0547242i | ||||
\(141\) | − | 624565.i | − | 2.64564i | ||||||
\(142\) | −41581.5 | + | 39032.1i | −0.173053 | + | 0.162443i | ||||
\(143\) | 102295. | − | 102295.i | 0.418326 | − | 0.418326i | ||||
\(144\) | 55721.7 | − | 438283.i | 0.223933 | − | 1.76136i | ||||
\(145\) | 203106. | + | 163490.i | 0.802239 | + | 0.645762i | ||||
\(146\) | −59.7018 | + | 1887.80i | −0.000231796 | + | 0.00732951i | ||||
\(147\) | 160156. | − | 160156.i | 0.611293 | − | 0.611293i | ||||
\(148\) | −38720.6 | + | 34109.5i | −0.145307 | + | 0.128003i | ||||
\(149\) | 320066. | 1.18106 | 0.590532 | − | 0.807014i | \(-0.298918\pi\) | ||||
0.590532 | + | 0.807014i | \(0.298918\pi\) | |||||||
\(150\) | −451371. | + | 83852.5i | −1.63797 | + | 0.304290i | ||||
\(151\) | 316550.i | 1.12980i | 0.825161 | + | 0.564898i | \(0.191084\pi\) | ||||
−0.825161 | + | 0.564898i | \(0.808916\pi\) | |||||||
\(152\) | −218186. | − | 264062.i | −0.765982 | − | 0.927037i | ||||
\(153\) | −429229. | − | 429229.i | −1.48238 | − | 1.48238i | ||||
\(154\) | −16131.4 | + | 510085.i | −0.0548114 | + | 1.73317i | ||||
\(155\) | −55540.1 | + | 68998.3i | −0.185685 | + | 0.230680i | ||||
\(156\) | 13453.9 | − | 212498.i | 0.0442627 | − | 0.699106i | ||||
\(157\) | −70981.8 | − | 70981.8i | −0.229825 | − | 0.229825i | 0.582794 | − | 0.812620i | \(-0.301959\pi\) |
−0.812620 | + | 0.582794i | \(0.801959\pi\) | |||||||
\(158\) | 341195. | + | 363480.i | 1.08733 | + | 1.15835i | ||||
\(159\) | 455387. | 1.42853 | ||||||||
\(160\) | 16321.8 | − | 323406.i | 0.0504043 | − | 0.998729i | ||||
\(161\) | 176512. | 0.536673 | ||||||||
\(162\) | 86186.4 | + | 91815.8i | 0.258019 | + | 0.274872i | ||||
\(163\) | −308350. | − | 308350.i | −0.909024 | − | 0.909024i | 0.0871698 | − | 0.996193i | \(-0.472218\pi\) |
−0.996193 | + | 0.0871698i | \(0.972218\pi\) | |||||||
\(164\) | −6416.90 | + | 101352.i | −0.0186301 | + | 0.294253i | ||||
\(165\) | 88071.8 | + | 814994.i | 0.251841 | + | 2.33048i | ||||
\(166\) | −10968.3 | + | 346824.i | −0.0308937 | + | 0.976875i | ||||
\(167\) | −350383. | − | 350383.i | −0.972192 | − | 0.972192i | 0.0274317 | − | 0.999624i | \(-0.491267\pi\) |
−0.999624 | + | 0.0274317i | \(0.991267\pi\) | |||||||
\(168\) | 478441. | + | 579037.i | 1.30784 | + | 1.58283i | ||||
\(169\) | 305649.i | 0.823202i | ||||||||
\(170\) | −337583. | − | 289791.i | −0.895898 | − | 0.769063i | ||||
\(171\) | 816438. | 2.13517 | ||||||||
\(172\) | 71906.9 | − | 63343.8i | 0.185332 | − | 0.163261i | ||||
\(173\) | 188032. | − | 188032.i | 0.477657 | − | 0.477657i | −0.426724 | − | 0.904382i | \(-0.640333\pi\) |
0.904382 | + | 0.426724i | \(0.140333\pi\) | |||||||
\(174\) | 21658.8 | − | 684864.i | 0.0542328 | − | 1.71487i | ||||
\(175\) | 269482. | − | 420332.i | 0.665173 | − | 1.03752i | ||||
\(176\) | −573577. | − | 72922.5i | −1.39576 | − | 0.177451i | ||||
\(177\) | −292258. | + | 292258.i | −0.701186 | + | 0.701186i | ||||
\(178\) | 158672. | − | 148944.i | 0.375363 | − | 0.352349i | ||||
\(179\) | − | 106396.i | − | 0.248194i | −0.992270 | − | 0.124097i | \(-0.960397\pi\) | ||
0.992270 | − | 0.124097i | \(-0.0396034\pi\) | |||||||
\(180\) | 569448. | + | 520982.i | 1.31001 | + | 1.19851i | ||||
\(181\) | − | 832428.i | − | 1.88865i | −0.329021 | − | 0.944323i | \(-0.606719\pi\) | ||
0.329021 | − | 0.944323i | \(-0.393281\pi\) | |||||||
\(182\) | 158487. | + | 168839.i | 0.354663 | + | 0.377828i | ||||
\(183\) | 51235.0 | − | 51235.0i | 0.113094 | − | 0.113094i | ||||
\(184\) | −18938.4 | + | 199082.i | −0.0412382 | + | 0.433499i | ||||
\(185\) | −9685.03 | − | 89622.8i | −0.0208052 | − | 0.192526i | ||||
\(186\) | 232659. | + | 7357.83i | 0.493102 | + | 0.0155944i | ||||
\(187\) | −561729. | + | 561729.i | −1.17469 | + | 1.17469i | ||||
\(188\) | −577469. | + | 508700.i | −1.19161 | + | 1.04970i | ||||
\(189\) | −781983. | −1.59237 | ||||||||
\(190\) | 596665. | − | 45453.3i | 1.19908 | − | 0.0913444i | ||||
\(191\) | 433612.i | 0.860038i | 0.902820 | + | 0.430019i | \(0.141493\pi\) | ||||
−0.902820 | + | 0.430019i | \(0.858507\pi\) | |||||||
\(192\) | −704410. | + | 477491.i | −1.37903 | + | 0.934786i | ||||
\(193\) | 113793. | + | 113793.i | 0.219899 | + | 0.219899i | 0.808456 | − | 0.588557i | \(-0.200304\pi\) |
−0.588557 | + | 0.808456i | \(0.700304\pi\) | |||||||
\(194\) | −660304. | − | 20882.1i | −1.25962 | − | 0.0398355i | ||||
\(195\) | 289753. | + | 233236.i | 0.545683 | + | 0.439247i | ||||
\(196\) | −278524. | − | 17634.3i | −0.517871 | − | 0.0327882i | ||||
\(197\) | 497139. | + | 497139.i | 0.912666 | + | 0.912666i | 0.996481 | − | 0.0838152i | \(-0.0267106\pi\) |
−0.0838152 | + | 0.996481i | \(0.526711\pi\) | |||||||
\(198\) | 1.00479e6 | − | 943184.i | 1.82143 | − | 1.70975i | ||||
\(199\) | −339239. | −0.607258 | −0.303629 | − | 0.952790i | \(-0.598198\pi\) | ||||
−0.303629 | + | 0.952790i | \(0.598198\pi\) | |||||||
\(200\) | 445165. | + | 349038.i | 0.786949 | + | 0.617018i | ||||
\(201\) | −64587.0 | −0.112760 | ||||||||
\(202\) | 735216. | − | 690139.i | 1.26776 | − | 1.19003i | ||||
\(203\) | 526946. | + | 526946.i | 0.897482 | + | 0.897482i | ||||
\(204\) | −73879.0 | + | 1.16688e6i | −0.124293 | + | 1.96314i | ||||
\(205\) | −138198. | − | 111243.i | −0.229677 | − | 0.184879i | ||||
\(206\) | 136137. | + | 4305.32i | 0.223515 | + | 0.00706866i | ||||
\(207\) | −337043. | − | 337043.i | −0.546713 | − | 0.546713i | ||||
\(208\) | −207432. | + | 160637.i | −0.332443 | + | 0.257447i | ||||
\(209\) | − | 1.06847e6i | − | 1.69198i | ||||||
\(210\) | −1.30837e6 | + | 99670.5i | −2.04731 | + | 0.155962i | ||||
\(211\) | 253328. | 0.391721 | 0.195861 | − | 0.980632i | \(-0.437250\pi\) | ||||
0.195861 | + | 0.980632i | \(0.437250\pi\) | |||||||
\(212\) | −370907. | − | 421048.i | −0.566794 | − | 0.643416i | ||||
\(213\) | −185139. | + | 185139.i | −0.279607 | + | 0.279607i | ||||
\(214\) | 1.19114e6 | + | 37669.9i | 1.77799 | + | 0.0562290i | ||||
\(215\) | 17985.8 | + | 166436.i | 0.0265359 | + | 0.245556i | ||||
\(216\) | 83901.0 | − | 881973.i | 0.122358 | − | 1.28624i | ||||
\(217\) | −179011. | + | 179011.i | −0.258066 | + | 0.258066i | ||||
\(218\) | 472156. | + | 502995.i | 0.672890 | + | 0.716840i | ||||
\(219\) | 8671.13i | 0.0122170i | ||||||||
\(220\) | 681805. | − | 745232.i | 0.949737 | − | 1.03809i | ||||
\(221\) | 360466.i | 0.496459i | ||||||||
\(222\) | −172725. | + | 162135.i | −0.235220 | + | 0.220798i | ||||
\(223\) | −111660. | + | 111660.i | −0.150361 | + | 0.150361i | −0.778279 | − | 0.627918i | \(-0.783907\pi\) |
0.627918 | + | 0.778279i | \(0.283907\pi\) | |||||||
\(224\) | 145691. | − | 913981.i | 0.194004 | − | 1.21707i | ||||
\(225\) | −1.31717e6 | + | 288043.i | −1.73455 | + | 0.379315i | ||||
\(226\) | 2076.86 | − | 65671.4i | 0.00270480 | − | 0.0855274i | ||||
\(227\) | 917106. | − | 917106.i | 1.18129 | − | 1.18129i | 0.201874 | − | 0.979411i | \(-0.435297\pi\) |
0.979411 | − | 0.201874i | \(-0.0647032\pi\) | |||||||
\(228\) | −1.03950e6 | − | 1.18003e6i | −1.32430 | − | 1.50333i | ||||
\(229\) | −806085. | −1.01576 | −0.507881 | − | 0.861427i | \(-0.669571\pi\) | ||||
−0.507881 | + | 0.861427i | \(0.669571\pi\) | |||||||
\(230\) | −265080. | − | 227552.i | −0.330413 | − | 0.283635i | ||||
\(231\) | 2.34294e6i | 2.88889i | ||||||||
\(232\) | −650862. | + | 537787.i | −0.793906 | + | 0.655980i | ||||
\(233\) | 534768. | + | 534768.i | 0.645321 | + | 0.645321i | 0.951858 | − | 0.306538i | \(-0.0991706\pi\) |
−0.306538 | + | 0.951858i | \(0.599171\pi\) | |||||||
\(234\) | 19766.1 | − | 625016.i | 0.0235984 | − | 0.746193i | ||||
\(235\) | −144440. | − | 1.33661e6i | −0.170615 | − | 1.57883i | ||||
\(236\) | 508260. | + | 32179.6i | 0.594027 | + | 0.0376098i | ||||
\(237\) | 1.61837e6 | + | 1.61837e6i | 1.87157 | + | 1.87157i | ||||
\(238\) | −870293. | − | 927136.i | −0.995916 | − | 1.06097i | ||||
\(239\) | 1.43507e6 | 1.62509 | 0.812546 | − | 0.582897i | \(-0.198081\pi\) | ||||
0.812546 | + | 0.582897i | \(0.198081\pi\) | |||||||
\(240\) | 27963.6 | − | 1.48636e6i | 0.0313375 | − | 1.66570i | ||||
\(241\) | −1.11920e6 | −1.24126 | −0.620631 | − | 0.784103i | \(-0.713124\pi\) | ||||
−0.620631 | + | 0.784103i | \(0.713124\pi\) | |||||||
\(242\) | −610818. | − | 650714.i | −0.670461 | − | 0.714252i | ||||
\(243\) | −432161. | − | 432161.i | −0.469494 | − | 0.469494i | ||||
\(244\) | −89101.7 | − | 5641.32i | −0.0958101 | − | 0.00606606i | ||||
\(245\) | 305706. | − | 379782.i | 0.325378 | − | 0.404222i | ||||
\(246\) | −14737.2 | + | 465998.i | −0.0155266 | + | 0.490960i | ||||
\(247\) | −342822. | − | 342822.i | −0.357541 | − | 0.357541i | ||||
\(248\) | −182694. | − | 221107.i | −0.188623 | − | 0.228283i | ||||
\(249\) | 1.59304e6i | 1.62828i | ||||||||
\(250\) | −946572. | + | 283836.i | −0.957864 | + | 0.287222i | ||||
\(251\) | −429663. | −0.430471 | −0.215235 | − | 0.976562i | \(-0.569052\pi\) | ||||
−0.215235 | + | 0.976562i | \(0.569052\pi\) | |||||||
\(252\) | 1.45817e6 | + | 1.65529e6i | 1.44646 | + | 1.64200i | ||||
\(253\) | −441085. | + | 441085.i | −0.433232 | + | 0.433232i | ||||
\(254\) | −31620.2 | + | 999847.i | −0.0307524 | + | 0.972409i | ||||
\(255\) | −1.59110e6 | − | 1.28076e6i | −1.53232 | − | 1.23344i | ||||
\(256\) | 1.01522e6 | + | 262383.i | 0.968187 | + | 0.250228i | ||||
\(257\) | 697777. | − | 697777.i | 0.658997 | − | 0.658997i | −0.296146 | − | 0.955143i | \(-0.595701\pi\) |
0.955143 | + | 0.296146i | \(0.0957014\pi\) | |||||||
\(258\) | 320763. | − | 301097.i | 0.300010 | − | 0.281616i | ||||
\(259\) | − | 257647.i | − | 0.238658i | ||||||
\(260\) | −20351.0 | − | 457871.i | −0.0186703 | − | 0.420058i | ||||
\(261\) | − | 2.01236e6i | − | 1.82854i | ||||||
\(262\) | 924187. | + | 984551.i | 0.831777 | + | 0.886105i | ||||
\(263\) | 187532. | − | 187532.i | 0.167181 | − | 0.167181i | −0.618558 | − | 0.785739i | \(-0.712283\pi\) |
0.785739 | + | 0.618558i | \(0.212283\pi\) | |||||||
\(264\) | −2.64253e6 | − | 251380.i | −2.33351 | − | 0.221984i | ||||
\(265\) | 974558. | − | 105315.i | 0.852498 | − | 0.0921246i | ||||
\(266\) | 1.70945e6 | + | 54061.3i | 1.48133 | + | 0.0468470i | ||||
\(267\) | 706478. | − | 706478.i | 0.606485 | − | 0.606485i | ||||
\(268\) | 52605.2 | + | 59716.7i | 0.0447396 | + | 0.0507877i | ||||
\(269\) | −1.61456e6 | −1.36043 | −0.680213 | − | 0.733015i | \(-0.738113\pi\) | ||||
−0.680213 | + | 0.733015i | \(0.738113\pi\) | |||||||
\(270\) | 1.17436e6 | + | 1.00810e6i | 0.980370 | + | 0.841576i | ||||
\(271\) | − | 986263.i | − | 0.815774i | −0.913033 | − | 0.407887i | \(-0.866266\pi\) | ||
0.913033 | − | 0.407887i | \(-0.133734\pi\) | |||||||
\(272\) | 1.13906e6 | − | 882099.i | 0.933523 | − | 0.722928i | ||||
\(273\) | 751743. | + | 751743.i | 0.610468 | + | 0.610468i | ||||
\(274\) | 669836. | + | 21183.6i | 0.539004 | + | 0.0170460i | ||||
\(275\) | 376959. | + | 1.72377e6i | 0.300582 | + | 1.37451i | ||||
\(276\) | −58011.8 | + | 916266.i | −0.0458399 | + | 0.724017i | ||||
\(277\) | −1.15208e6 | − | 1.15208e6i | −0.902160 | − | 0.902160i | 0.0934628 | − | 0.995623i | \(-0.470206\pi\) |
−0.995623 | + | 0.0934628i | \(0.970206\pi\) | |||||||
\(278\) | −561833. | + | 527387.i | −0.436009 | + | 0.409277i | ||||
\(279\) | 683630. | 0.525788 | ||||||||
\(280\) | 1.15781e6 | + | 1.12853e6i | 0.882553 | + | 0.860238i | ||||
\(281\) | −2.08579e6 | −1.57582 | −0.787908 | − | 0.615793i | \(-0.788836\pi\) | ||||
−0.787908 | + | 0.615793i | \(0.788836\pi\) | |||||||
\(282\) | −2.57598e6 | + | 2.41804e6i | −1.92894 | + | 1.81068i | ||||
\(283\) | 1.17348e6 | + | 1.17348e6i | 0.870980 | + | 0.870980i | 0.992579 | − | 0.121599i | \(-0.0388023\pi\) |
−0.121599 | + | 0.992579i | \(0.538802\pi\) | |||||||
\(284\) | 321971. | + | 20385.1i | 0.236876 | + | 0.0149974i | ||||
\(285\) | 2.73129e6 | − | 295155.i | 1.99184 | − | 0.215247i | ||||
\(286\) | −817953. | − | 25867.8i | −0.591307 | − | 0.0187001i | ||||
\(287\) | −358546. | − | 358546.i | −0.256945 | − | 0.256945i | ||||
\(288\) | −2.02340e6 | + | 1.46702e6i | −1.43748 | + | 1.04221i | ||||
\(289\) | − | 559553.i | − | 0.394091i | ||||||
\(290\) | −112034. | − | 1.47066e6i | −0.0782265 | − | 1.02688i | ||||
\(291\) | −3.03293e6 | −2.09957 | ||||||||
\(292\) | 8017.27 | − | 7062.52i | 0.00550262 | − | 0.00484733i | ||||
\(293\) | −197657. | + | 197657.i | −0.134506 | + | 0.134506i | −0.771154 | − | 0.636648i | \(-0.780320\pi\) |
0.636648 | + | 0.771154i | \(0.280320\pi\) | |||||||
\(294\) | −1.28061e6 | − | 40499.2i | −0.864067 | − | 0.0273261i | ||||
\(295\) | −557862. | + | 693041.i | −0.373226 | + | 0.463664i | ||||
\(296\) | 290592. | + | 27643.7i | 0.192777 | + | 0.0183386i | ||||
\(297\) | 1.95409e6 | − | 1.95409e6i | 1.28545 | − | 1.28545i | ||||
\(298\) | −1.23915e6 | − | 1.32009e6i | −0.808323 | − | 0.861119i | ||||
\(299\) | 283048.i | 0.183097i | ||||||||
\(300\) | 2.09336e6 | + | 1.53701e6i | 1.34289 | + | 0.985994i | ||||
\(301\) | 478469.i | 0.304395i | ||||||||
\(302\) | 1.30559e6 | − | 1.22554e6i | 0.823739 | − | 0.773235i | ||||
\(303\) | 3.27350e6 | − | 3.27350e6i | 2.04836 | − | 2.04836i | ||||
\(304\) | −244385. | + | 1.92223e6i | −0.151667 | + | 1.19295i | ||||
\(305\) | 97797.3 | − | 121495.i | 0.0601974 | − | 0.0747840i | ||||
\(306\) | −108541. | + | 3.43212e6i | −0.0662658 | + | 2.09536i | ||||
\(307\) | −989520. | + | 989520.i | −0.599210 | + | 0.599210i | −0.940102 | − | 0.340893i | \(-0.889271\pi\) |
0.340893 | + | 0.940102i | \(0.389271\pi\) | |||||||
\(308\) | 2.16627e6 | − | 1.90829e6i | 1.30117 | − | 1.14622i | ||||
\(309\) | 625307. | 0.372561 | ||||||||
\(310\) | 499606. | − | 38059.5i | 0.295273 | − | 0.0224936i | ||||
\(311\) | 1.75736e6i | 1.03029i | 0.857102 | + | 0.515146i | \(0.172262\pi\) | ||||
−0.857102 | + | 0.515146i | \(0.827738\pi\) | |||||||
\(312\) | −928522. | + | 767209.i | −0.540015 | + | 0.446198i | ||||
\(313\) | 627444. | + | 627444.i | 0.362005 | + | 0.362005i | 0.864551 | − | 0.502546i | \(-0.167603\pi\) |
−0.502546 | + | 0.864551i | \(0.667603\pi\) | |||||||
\(314\) | −17949.4 | + | 567570.i | −0.0102737 | + | 0.324860i | ||||
\(315\) | −3.83134e6 | + | 414032.i | −2.17558 | + | 0.235103i | ||||
\(316\) | 178194. | − | 2.81448e6i | 0.100386 | − | 1.58555i | ||||
\(317\) | 92320.6 | + | 92320.6i | 0.0516001 | + | 0.0516001i | 0.732436 | − | 0.680836i | \(-0.238383\pi\) |
−0.680836 | + | 0.732436i | \(0.738383\pi\) | |||||||
\(318\) | −1.76306e6 | − | 1.87822e6i | −0.977686 | − | 1.04154i | ||||
\(319\) | −2.63356e6 | −1.44899 | ||||||||
\(320\) | −1.39706e6 | + | 1.18477e6i | −0.762675 | + | 0.646782i | ||||
\(321\) | 5.47120e6 | 2.96360 | ||||||||
\(322\) | −683378. | − | 728013.i | −0.367300 | − | 0.391291i | ||||
\(323\) | 1.88252e6 | + | 1.88252e6i | 1.00400 | + | 1.00400i | ||||
\(324\) | 45012.1 | − | 710941.i | 0.0238213 | − | 0.376245i | ||||
\(325\) | 674029. | + | 432131.i | 0.353973 | + | 0.226938i | ||||
\(326\) | −77973.6 | + | 2.46557e6i | −0.0406353 | + | 1.28491i | ||||
\(327\) | 2.23955e6 | + | 2.23955e6i | 1.15822 | + | 1.15822i | ||||
\(328\) | 442862. | − | 365923.i | 0.227292 | − | 0.187804i | ||||
\(329\) | − | 3.84248e6i | − | 1.95714i | ||||||
\(330\) | 3.02042e6 | − | 3.51855e6i | 1.52680 | − | 1.77860i | ||||
\(331\) | −135099. | −0.0677772 | −0.0338886 | − | 0.999426i | \(-0.510789\pi\) | ||||
−0.0338886 | + | 0.999426i | \(0.510789\pi\) | |||||||
\(332\) | 1.47292e6 | − | 1.29751e6i | 0.733387 | − | 0.646051i | ||||
\(333\) | −491967. | + | 491967.i | −0.243123 | + | 0.243123i | ||||
\(334\) | −88602.6 | + | 2.80166e6i | −0.0434591 | + | 1.37420i | ||||
\(335\) | −138220. | + | 14936.7i | −0.0672915 | + | 0.00727181i | ||||
\(336\) | 535890. | − | 4.21508e6i | 0.258957 | − | 2.03684i | ||||
\(337\) | −848072. | + | 848072.i | −0.406779 | + | 0.406779i | −0.880614 | − | 0.473835i | \(-0.842869\pi\) |
0.473835 | + | 0.880614i | \(0.342869\pi\) | |||||||
\(338\) | 1.26063e6 | − | 1.18334e6i | 0.600201 | − | 0.563402i | ||||
\(339\) | − | 301644.i | − | 0.142559i | ||||||
\(340\) | 111752. | + | 2.51428e6i | 0.0524275 | + | 1.17955i | ||||
\(341\) | − | 894660.i | − | 0.416651i | ||||||
\(342\) | −3.16089e6 | − | 3.36735e6i | −1.46132 | − | 1.55676i | ||||
\(343\) | −913511. | + | 913511.i | −0.419255 | + | 0.419255i | ||||
\(344\) | −539650. | − | 51336.2i | −0.245876 | − | 0.0233899i | ||||
\(345\) | −1.24938e6 | − | 1.00569e6i | −0.565127 | − | 0.454899i | ||||
\(346\) | −1.50350e6 | − | 47548.3i | −0.675172 | − | 0.0213523i | ||||
\(347\) | −561469. | + | 561469.i | −0.250324 | + | 0.250324i | −0.821103 | − | 0.570779i | \(-0.806641\pi\) |
0.570779 | + | 0.821103i | \(0.306641\pi\) | |||||||
\(348\) | −2.90853e6 | + | 2.56217e6i | −1.28744 | + | 1.13412i | ||||
\(349\) | 1.98231e6 | 0.871181 | 0.435590 | − | 0.900145i | \(-0.356540\pi\) | ||||
0.435590 | + | 0.900145i | \(0.356540\pi\) | |||||||
\(350\) | −2.77695e6 | + | 515882.i | −1.21171 | + | 0.225102i | ||||
\(351\) | − | 1.25396e6i | − | 0.543269i | ||||||
\(352\) | 1.91988e6 | + | 2.64801e6i | 0.825879 | + | 1.13910i | ||||
\(353\) | −2.08346e6 | − | 2.08346e6i | −0.889913 | − | 0.889913i | 0.104601 | − | 0.994514i | \(-0.466643\pi\) |
−0.994514 | + | 0.104601i | \(0.966643\pi\) | |||||||
\(354\) | 2.33690e6 | + | 73904.3i | 0.991132 | + | 0.0313445i | ||||
\(355\) | −353393. | + | 439025.i | −0.148829 | + | 0.184892i | ||||
\(356\) | −1.22862e6 | − | 77788.1i | −0.513799 | − | 0.0325303i | ||||
\(357\) | −4.12801e6 | − | 4.12801e6i | −1.71423 | − | 1.71423i | ||||
\(358\) | −438822. | + | 411917.i | −0.180959 | + | 0.169864i | ||||
\(359\) | −2.12642e6 | −0.870788 | −0.435394 | − | 0.900240i | \(-0.643391\pi\) | ||||
−0.435394 | + | 0.900240i | \(0.643391\pi\) | |||||||
\(360\) | −55897.9 | − | 4.36567e6i | −0.0227321 | − | 1.77539i | ||||
\(361\) | −1.10465e6 | −0.446125 | ||||||||
\(362\) | −3.43330e6 | + | 3.22280e6i | −1.37702 | + | 1.29259i | ||||
\(363\) | −2.89726e6 | − | 2.89726e6i | −1.15404 | − | 1.15404i | ||||
\(364\) | 82772.1 | − | 1.30734e6i | 0.0327439 | − | 0.517172i | ||||
\(365\) | 2005.33 | + | 18556.8i | 0.000787868 | + | 0.00729073i | ||||
\(366\) | −409675. | − | 12956.0i | −0.159859 | − | 0.00505554i | ||||
\(367\) | 392979. | + | 392979.i | 0.152301 | + | 0.152301i | 0.779145 | − | 0.626844i | \(-0.215654\pi\) |
−0.626844 | + | 0.779145i | \(0.715654\pi\) | |||||||
\(368\) | 894423. | − | 692649.i | 0.344289 | − | 0.266620i | ||||
\(369\) | 1.36926e6i | 0.523503i | ||||||||
\(370\) | −332147. | + | 386926.i | −0.126132 | + | 0.146934i | ||||
\(371\) | 2.80166e6 | 1.05677 | ||||||||
\(372\) | −870406. | − | 988072.i | −0.326110 | − | 0.370196i | ||||
\(373\) | −3.04357e6 | + | 3.04357e6i | −1.13269 | + | 1.13269i | −0.142964 | + | 0.989728i | \(0.545663\pi\) |
−0.989728 | + | 0.142964i | \(0.954337\pi\) | |||||||
\(374\) | 4.49158e6 | + | 142046.i | 1.66043 | + | 0.0525111i | ||||
\(375\) | −4.30230e6 | + | 1.43979e6i | −1.57987 | + | 0.528713i | ||||
\(376\) | 4.33381e6 | + | 412270.i | 1.58088 | + | 0.150388i | ||||
\(377\) | −844990. | + | 844990.i | −0.306195 | + | 0.306195i | ||||
\(378\) | 3.02750e6 | + | 3.22524e6i | 1.08982 | + | 1.16100i | ||||
\(379\) | − | 5.21265e6i | − | 1.86406i | −0.362376 | − | 0.932032i | \(-0.618034\pi\) | ||
0.362376 | − | 0.932032i | \(-0.381966\pi\) | |||||||
\(380\) | −2.49750e6 | − | 2.28493e6i | −0.887249 | − | 0.811735i | ||||
\(381\) | 4.59253e6i | 1.62084i | ||||||||
\(382\) | 1.78841e6 | − | 1.67876e6i | 0.627058 | − | 0.588612i | ||||
\(383\) | 1.54346e6 | − | 1.54346e6i | 0.537648 | − | 0.537648i | −0.385190 | − | 0.922837i | \(-0.625864\pi\) |
0.922837 | + | 0.385190i | \(0.125864\pi\) | |||||||
\(384\) | 4.69655e6 | + | 1.05666e6i | 1.62537 | + | 0.365685i | ||||
\(385\) | 541840. | + | 5.01405e6i | 0.186303 | + | 1.72400i | ||||
\(386\) | 28775.3 | − | 909891.i | 0.00982995 | − | 0.310829i | ||||
\(387\) | 913618. | − | 913618.i | 0.310090 | − | 0.310090i | ||||
\(388\) | 2.47028e6 | + | 2.80423e6i | 0.833043 | + | 0.945658i | ||||
\(389\) | 2.38261e6 | 0.798325 | 0.399162 | − | 0.916880i | \(-0.369301\pi\) | ||||
0.399162 | + | 0.916880i | \(0.369301\pi\) | |||||||
\(390\) | −159828. | − | 2.09805e6i | −0.0532097 | − | 0.698482i | ||||
\(391\) | − | 1.55429e6i | − | 0.514150i | ||||||
\(392\) | 1.00559e6 | + | 1.21703e6i | 0.330526 | + | 0.400023i | ||||
\(393\) | 4.38364e6 | + | 4.38364e6i | 1.43171 | + | 1.43171i | ||||
\(394\) | 125713. | − | 3.97512e6i | 0.0407981 | − | 1.29006i | ||||
\(395\) | 3.83769e6 | + | 3.08915e6i | 1.23759 | + | 0.996198i | ||||
\(396\) | −7.78021e6 | − | 492591.i | −2.49318 | − | 0.157851i | ||||
\(397\) | 2.63572e6 | + | 2.63572e6i | 0.839311 | + | 0.839311i | 0.988768 | − | 0.149457i | \(-0.0477526\pi\) |
−0.149457 | + | 0.988768i | \(0.547753\pi\) | |||||||
\(398\) | 1.31339e6 | + | 1.39917e6i | 0.415609 | + | 0.442755i | ||||
\(399\) | 7.85190e6 | 2.46912 | ||||||||
\(400\) | −283900. | − | 3.18738e6i | −0.0887187 | − | 0.996057i | ||||
\(401\) | −725347. | −0.225261 | −0.112630 | − | 0.993637i | \(-0.535928\pi\) | ||||
−0.112630 | + | 0.993637i | \(0.535928\pi\) | |||||||
\(402\) | 250053. | + | 266385.i | 0.0771732 | + | 0.0822138i | ||||
\(403\) | −287056. | − | 287056.i | −0.0880447 | − | 0.0880447i | ||||
\(404\) | −5.69287e6 | − | 360435.i | −1.73531 | − | 0.109868i | ||||
\(405\) | 969407. | + | 780324.i | 0.293676 | + | 0.236394i | ||||
\(406\) | 133251. | − | 4.21346e6i | 0.0401194 | − | 1.26860i | ||||
\(407\) | 643833. | + | 643833.i | 0.192658 | + | 0.192658i | ||||
\(408\) | 5.09875e6 | − | 4.21294e6i | 1.51640 | − | 1.25295i | ||||
\(409\) | 1.53906e6i | 0.454932i | 0.973786 | + | 0.227466i | \(0.0730440\pi\) | ||||
−0.973786 | + | 0.227466i | \(0.926956\pi\) | |||||||
\(410\) | 76230.4 | + | 1.00067e6i | 0.0223959 | + | 0.293990i | ||||
\(411\) | 3.07672e6 | 0.898427 | ||||||||
\(412\) | −509304. | − | 578155.i | −0.147820 | − | 0.167804i | ||||
\(413\) | −1.79805e6 | + | 1.79805e6i | −0.518711 | + | 0.518711i | ||||
\(414\) | −85229.2 | + | 2.69499e6i | −0.0244392 | + | 0.772782i | ||||
\(415\) | 368415. | + | 3.40922e6i | 0.105007 | + | 0.971706i | ||||
\(416\) | 1.46563e6 | + | 233624.i | 0.415231 | + | 0.0661887i | ||||
\(417\) | −2.50152e6 | + | 2.50152e6i | −0.704473 | + | 0.704473i | ||||
\(418\) | −4.40682e6 | + | 4.13663e6i | −1.23363 | + | 1.15799i | ||||
\(419\) | 2.90192e6i | 0.807514i | 0.914866 | + | 0.403757i | \(0.132296\pi\) | ||||
−0.914866 | + | 0.403757i | \(0.867704\pi\) | |||||||
\(420\) | 5.47653e6 | + | 5.01042e6i | 1.51489 | + | 1.38596i | ||||
\(421\) | − | 4.02303e6i | − | 1.10624i | −0.833103 | − | 0.553118i | \(-0.813438\pi\) | ||
0.833103 | − | 0.553118i | \(-0.186562\pi\) | |||||||
\(422\) | −980776. | − | 1.04484e6i | −0.268095 | − | 0.285606i | ||||
\(423\) | −7.33706e6 | + | 7.33706e6i | −1.99375 | + | 1.99375i | ||||
\(424\) | −300597. | + | 3.15990e6i | −0.0812026 | + | 0.853607i | ||||
\(425\) | −3.70126e6 | − | 2.37294e6i | −0.993979 | − | 0.637257i | ||||
\(426\) | 1.48037e6 | + | 46816.7i | 0.395227 | + | 0.0124990i | ||||
\(427\) | 315210. | − | 315210.i | 0.0836625 | − | 0.0836625i | ||||
\(428\) | −4.45622e6 | − | 5.05864e6i | −1.17586 | − | 1.33482i | ||||
\(429\) | −3.75705e6 | −0.985607 | ||||||||
\(430\) | 616822. | − | 718549.i | 0.160875 | − | 0.187407i | ||||
\(431\) | − | 3.83756e6i | − | 0.995089i | −0.867439 | − | 0.497544i | \(-0.834235\pi\) | ||
0.867439 | − | 0.497544i | \(-0.165765\pi\) | |||||||
\(432\) | −3.96247e6 | + | 3.06857e6i | −1.02154 | + | 0.791091i | ||||
\(433\) | −3.70645e6 | − | 3.70645e6i | −0.950031 | − | 0.950031i | 0.0487783 | − | 0.998810i | \(-0.484467\pi\) |
−0.998810 | + | 0.0487783i | \(0.984467\pi\) | |||||||
\(434\) | 1.43137e6 | + | 45267.2i | 0.364778 | + | 0.0115361i | ||||
\(435\) | −727500. | − | 6.73210e6i | −0.184336 | − | 1.70580i | ||||
\(436\) | 246590. | − | 3.89475e6i | 0.0621239 | − | 0.981214i | ||||
\(437\) | 1.47821e6 | + | 1.47821e6i | 0.370281 | + | 0.370281i | ||||
\(438\) | 35763.5 | − | 33570.8i | 0.00890749 | − | 0.00836136i | ||||
\(439\) | 2.21409e6 | 0.548320 | 0.274160 | − | 0.961684i | \(-0.411600\pi\) | ||||
0.274160 | + | 0.961684i | \(0.411600\pi\) | |||||||
\(440\) | −5.71331e6 | + | 73153.1i | −1.40688 | + | 0.0180136i | ||||
\(441\) | −3.76285e6 | −0.921342 | ||||||||
\(442\) | 1.48672e6 | − | 1.39557e6i | 0.361971 | − | 0.339778i | ||||
\(443\) | 2.11417e6 | + | 2.11417e6i | 0.511835 | + | 0.511835i | 0.915088 | − | 0.403253i | \(-0.132121\pi\) |
−0.403253 | + | 0.915088i | \(0.632121\pi\) | |||||||
\(444\) | 1.33744e6 | + | 84677.5i | 0.321970 | + | 0.0203850i | ||||
\(445\) | 1.34852e6 | − | 1.67529e6i | 0.322819 | − | 0.401043i | ||||
\(446\) | 892832. | + | 28235.8i | 0.212536 | + | 0.00672145i | ||||
\(447\) | −5.87761e6 | − | 5.87761e6i | −1.39134 | − | 1.39134i | ||||
\(448\) | −4.33371e6 | + | 2.93765e6i | −1.02015 | + | 0.691519i | ||||
\(449\) | − | 4.58602e6i | − | 1.07354i | −0.843727 | − | 0.536772i | \(-0.819644\pi\) | ||
0.843727 | − | 0.536772i | \(-0.180356\pi\) | |||||||
\(450\) | 6.28753e6 | + | 4.31742e6i | 1.46369 | + | 1.00506i | ||||
\(451\) | 1.79194e6 | 0.414841 | ||||||||
\(452\) | −278898. | + | 245685.i | −0.0642096 | + | 0.0565631i | ||||
\(453\) | 5.81305e6 | − | 5.81305e6i | 1.33094 | − | 1.33094i | ||||
\(454\) | −7.33318e6 | − | 231912.i | −1.66976 | − | 0.0528060i | ||||
\(455\) | 1.78263e6 | + | 1.43493e6i | 0.403676 | + | 0.324939i | ||||
\(456\) | −842451. | + | 8.85589e6i | −0.189728 | + | 1.99444i | ||||
\(457\) | 2.58042e6 | − | 2.58042e6i | 0.577962 | − | 0.577962i | −0.356379 | − | 0.934341i | \(-0.615989\pi\) |
0.934341 | + | 0.356379i | \(0.115989\pi\) | |||||||
\(458\) | 3.12081e6 | + | 3.32465e6i | 0.695191 | + | 0.740597i | ||||
\(459\) | 6.88580e6i | 1.52554i | ||||||||
\(460\) | 87751.0 | + | 1.97429e6i | 0.0193356 | + | 0.435026i | ||||
\(461\) | − | 4.39818e6i | − | 0.963875i | −0.876206 | − | 0.481937i | \(-0.839933\pi\) | ||
0.876206 | − | 0.481937i | \(-0.160067\pi\) | |||||||
\(462\) | 9.66331e6 | − | 9.07085e6i | 2.10630 | − | 1.97716i | ||||
\(463\) | 6.05182e6 | − | 6.05182e6i | 1.31200 | − | 1.31200i | 0.392059 | − | 0.919940i | \(-0.371763\pi\) |
0.919940 | − | 0.392059i | \(-0.128237\pi\) | |||||||
\(464\) | 4.73792e6 | + | 602362.i | 1.02163 | + | 0.129886i | ||||
\(465\) | 2.28699e6 | − | 247143.i | 0.490493 | − | 0.0530048i | ||||
\(466\) | 135229. | − | 4.27601e6i | 0.0288472 | − | 0.912165i | ||||
\(467\) | −1.85830e6 | + | 1.85830e6i | −0.394297 | + | 0.394297i | −0.876216 | − | 0.481919i | \(-0.839940\pi\) |
0.481919 | + | 0.876216i | \(0.339940\pi\) | |||||||
\(468\) | −2.65436e6 | + | 2.33826e6i | −0.560204 | + | 0.493491i | ||||
\(469\) | −397355. | −0.0834156 | ||||||||
\(470\) | −4.95356e6 | + | 5.77051e6i | −1.03436 | + | 1.20495i | ||||
\(471\) | 2.60699e6i | 0.541485i | ||||||||
\(472\) | −1.83504e6 | − | 2.22087e6i | −0.379132 | − | 0.458848i | ||||
\(473\) | −1.19564e6 | − | 1.19564e6i | −0.245725 | − | 0.245725i | ||||
\(474\) | 409243. | − | 1.29405e7i | 0.0836634 | − | 2.64548i | ||||
\(475\) | 5.77688e6 | − | 1.26330e6i | 1.17479 | − | 0.256905i | ||||
\(476\) | −454522. | + | 7.17894e6i | −0.0919470 | + | 1.45225i | ||||
\(477\) | −5.34965e6 | − | 5.34965e6i | −1.07654 | − | 1.07654i | ||||
\(478\) | −5.55596e6 | − | 5.91885e6i | −1.11222 | − | 1.18486i | ||||
\(479\) | −7.21535e6 | −1.43687 | −0.718437 | − | 0.695593i | \(-0.755142\pi\) | ||||
−0.718437 | + | 0.695593i | \(0.755142\pi\) | |||||||
\(480\) | −6.23867e6 | + | 5.63922e6i | −1.23592 | + | 1.11716i | ||||
\(481\) | 413153. | 0.0814233 | ||||||||
\(482\) | 4.33304e6 | + | 4.61605e6i | 0.849523 | + | 0.905010i | ||||
\(483\) | −3.24143e6 | − | 3.24143e6i | −0.632220 | − | 0.632220i | ||||
\(484\) | −319008. | + | 5.03856e6i | −0.0618996 | + | 0.977672i | ||||
\(485\) | −6.49067e6 | + | 701411.i | −1.25295 | + | 0.135400i | ||||
\(486\) | −109282. | + | 3.45556e6i | −0.0209874 | + | 0.663634i | ||||
\(487\) | 1.44227e6 | + | 1.44227e6i | 0.275566 | + | 0.275566i | 0.831336 | − | 0.555770i | \(-0.187577\pi\) |
−0.555770 | + | 0.831336i | \(0.687577\pi\) | |||||||
\(488\) | 321696. | + | 389335.i | 0.0611499 | + | 0.0740072i | ||||
\(489\) | 1.13249e7i | 2.14173i | ||||||||
\(490\) | −2.74995e6 | + | 209488.i | −0.517409 | + | 0.0394157i | ||||
\(491\) | −8.71746e6 | −1.63187 | −0.815936 | − | 0.578142i | \(-0.803778\pi\) | ||||
−0.815936 | + | 0.578142i | \(0.803778\pi\) | |||||||
\(492\) | 1.97903e6 | − | 1.74336e6i | 0.368587 | − | 0.324694i | ||||
\(493\) | 4.64005e6 | − | 4.64005e6i | 0.859816 | − | 0.859816i | ||||
\(494\) | −86690.6 | + | 2.74120e6i | −0.0159829 | + | 0.505387i | ||||
\(495\) | 8.53950e6 | − | 1.06087e7i | 1.56646 | − | 1.94604i | ||||
\(496\) | −204631. | + | 1.60954e6i | −0.0373480 | + | 0.293764i | ||||
\(497\) | −1.13902e6 | + | 1.13902e6i | −0.206843 | + | 0.206843i | ||||
\(498\) | 6.57041e6 | − | 6.16757e6i | 1.18719 | − | 1.11440i | ||||
\(499\) | − | 2.31575e6i | − | 0.416333i | −0.978093 | − | 0.208167i | \(-0.933250\pi\) | ||
0.978093 | − | 0.208167i | \(-0.0667496\pi\) | |||||||
\(500\) | 4.83538e6 | + | 2.80519e6i | 0.864979 | + | 0.501807i | ||||
\(501\) | 1.28687e7i | 2.29055i | ||||||||
\(502\) | 1.66347e6 | + | 1.77212e6i | 0.294615 | + | 0.313858i | ||||
\(503\) | 2.57811e6 | − | 2.57811e6i | 0.454340 | − | 0.454340i | −0.442452 | − | 0.896792i | \(-0.645891\pi\) |
0.896792 | + | 0.442452i | \(0.145891\pi\) | |||||||
\(504\) | 1.18176e6 | − | 1.24227e7i | 0.207230 | − | 2.17841i | ||||
\(505\) | 6.24845e6 | − | 7.76254e6i | 1.09029 | − | 1.35449i | ||||
\(506\) | 3.52692e6 | + | 111539.i | 0.612377 | + | 0.0193664i | ||||
\(507\) | 5.61287e6 | − | 5.61287e6i | 0.969762 | − | 0.969762i | ||||
\(508\) | 4.24623e6 | − | 3.74056e6i | 0.730035 | − | 0.643098i | ||||
\(509\) | 6.05440e6 | 1.03580 | 0.517901 | − | 0.855440i | \(-0.326713\pi\) | ||||
0.517901 | + | 0.855440i | \(0.326713\pi\) | |||||||
\(510\) | 877655. | + | 1.15209e7i | 0.149416 | + | 1.96138i | ||||
\(511\) | 53347.0i | 0.00903770i | ||||||||
\(512\) | −2.84830e6 | − | 5.20303e6i | −0.480187 | − | 0.877166i | ||||
\(513\) | −6.54875e6 | − | 6.54875e6i | −1.09866 | − | 1.09866i | ||||
\(514\) | −5.57942e6 | − | 176449.i | −0.931497 | − | 0.0294586i | ||||
\(515\) | 1.33820e6 | − | 144612.i | 0.222332 | − | 0.0240262i | ||||
\(516\) | −2.48371e6 | − | 157252.i | −0.410655 | − | 0.0259999i | ||||
\(517\) | 9.60195e6 | + | 9.60195e6i | 1.57991 | + | 1.57991i | ||||
\(518\) | −1.06265e6 | + | 997498.i | −0.174007 | + | 0.163338i | ||||
\(519\) | −6.90595e6 | −1.12540 | ||||||||
\(520\) | −1.80967e6 | + | 1.85661e6i | −0.293488 | + | 0.301102i | ||||
\(521\) | −1.03013e7 | −1.66265 | −0.831323 | − | 0.555790i | \(-0.812416\pi\) | ||||
−0.831323 | + | 0.555790i | \(0.812416\pi\) | |||||||
\(522\) | −8.29987e6 | + | 7.79099e6i | −1.33320 | + | 1.25146i | ||||
\(523\) | −927010. | − | 927010.i | −0.148194 | − | 0.148194i | 0.629117 | − | 0.777311i | \(-0.283417\pi\) |
−0.777311 | + | 0.629117i | \(0.783417\pi\) | |||||||
\(524\) | 482669. | − | 7.62350e6i | 0.0767930 | − | 1.21290i | ||||
\(525\) | −1.26676e7 | + | 2.77018e6i | −2.00584 | + | 0.438642i | ||||
\(526\) | −1.49951e6 | − | 47422.0i | −0.236311 | − | 0.00747335i | ||||
\(527\) | 1.57629e6 | + | 1.57629e6i | 0.247235 | + | 0.247235i | ||||
\(528\) | 9.19390e6 | + | 1.18722e7i | 1.43521 | + | 1.85330i | ||||
\(529\) | 5.21587e6i | 0.810378i | ||||||||
\(530\) | −4.20743e6 | − | 3.61177e6i | −0.650620 | − | 0.558510i | ||||
\(531\) | 6.86659e6 | 1.05683 | ||||||||
\(532\) | −6.39526e6 | − | 7.25981e6i | −0.979669 | − | 1.11211i | ||||
\(533\) | 574951. | − | 574951.i | 0.0876623 | − | 0.0876623i | ||||
\(534\) | −5.64900e6 | − | 178649.i | −0.857271 | − | 0.0271112i | ||||
\(535\) | 1.17087e7 | − | 1.26530e6i | 1.76858 | − | 0.191121i | ||||
\(536\) | 42633.3 | − | 448164.i | 0.00640969 | − | 0.0673791i | ||||
\(537\) | −1.95382e6 | + | 1.95382e6i | −0.292381 | + | 0.292381i | ||||
\(538\) | 6.25089e6 | + | 6.65917e6i | 0.931078 | + | 0.991892i | ||||
\(539\) | 4.92441e6i | 0.730100i | ||||||||
\(540\) | −388754. | − | 8.74647e6i | −0.0573708 | − | 1.29077i | ||||
\(541\) | − | 7.84634e6i | − | 1.15259i | −0.817242 | − | 0.576294i | \(-0.804498\pi\) | ||
0.817242 | − | 0.576294i | \(-0.195502\pi\) | |||||||
\(542\) | −4.06778e6 | + | 3.81838e6i | −0.594784 | + | 0.558317i | ||||
\(543\) | −1.52865e7 | + | 1.52865e7i | −2.22489 | + | 2.22489i | ||||
\(544\) | −8.04812e6 | − | 1.28289e6i | −1.16600 | − | 0.185862i | ||||
\(545\) | 5.31071e6 | + | 4.27485e6i | 0.765881 | + | 0.616495i | ||||
\(546\) | 190096. | − | 6.01094e6i | 0.0272892 | − | 0.862900i | ||||
\(547\) | −2.75454e6 | + | 2.75454e6i | −0.393624 | + | 0.393624i | −0.875977 | − | 0.482353i | \(-0.839782\pi\) |
0.482353 | + | 0.875977i | \(0.339782\pi\) | |||||||
\(548\) | −2.50594e6 | − | 2.84471e6i | −0.356467 | − | 0.404657i | ||||
\(549\) | −1.20376e6 | −0.170455 | ||||||||
\(550\) | 5.65017e6 | − | 8.22844e6i | 0.796443 | − | 1.15987i | ||||
\(551\) | 8.82586e6i | 1.23845i | ||||||||
\(552\) | 4.00368e6 | − | 3.30812e6i | 0.559257 | − | 0.462097i | ||||
\(553\) | 9.95662e6 | + | 9.95662e6i | 1.38452 | + | 1.38452i | ||||
\(554\) | −291331. | + | 9.21204e6i | −0.0403285 | + | 1.27521i | ||||
\(555\) | −1.46796e6 | + | 1.82367e6i | −0.202293 | + | 0.251312i | ||||
\(556\) | 4.35035e6 | + | 275435.i | 0.596811 | + | 0.0377861i | ||||
\(557\) | −3.87209e6 | − | 3.87209e6i | −0.528819 | − | 0.528819i | 0.391401 | − | 0.920220i | \(-0.371991\pi\) |
−0.920220 | + | 0.391401i | \(0.871991\pi\) | |||||||
\(558\) | −2.64672e6 | − | 2.81959e6i | −0.359850 | − | 0.383354i | ||||
\(559\) | −767255. | −0.103851 | ||||||||
\(560\) | 172039. | − | 9.14448e6i | 0.0231823 | − | 1.23222i | ||||
\(561\) | 2.06309e7 | 2.76765 | ||||||||
\(562\) | 8.07528e6 | + | 8.60272e6i | 1.07849 | + | 1.14893i | ||||
\(563\) | 161996. | + | 161996.i | 0.0215393 | + | 0.0215393i | 0.717794 | − | 0.696255i | \(-0.245152\pi\) |
−0.696255 | + | 0.717794i | \(0.745152\pi\) | |||||||
\(564\) | 1.99461e7 | + | 1.26286e6i | 2.64035 | + | 0.167169i | ||||
\(565\) | −69759.8 | − | 645539.i | −0.00919356 | − | 0.0850749i | ||||
\(566\) | 296741. | − | 9.38312e6i | 0.0389347 | − | 1.23114i | ||||
\(567\) | 2.51506e6 | + | 2.51506e6i | 0.328542 | + | 0.328542i | ||||
\(568\) | −1.16245e6 | − | 1.40687e6i | −0.151184 | − | 0.182972i | ||||
\(569\) | 3.86832e6i | 0.500889i | 0.968131 | + | 0.250444i | \(0.0805767\pi\) | ||||
−0.968131 | + | 0.250444i | \(0.919423\pi\) | |||||||
\(570\) | −1.17917e7 | − | 1.01223e7i | −1.52016 | − | 1.30495i | ||||
\(571\) | −8.11445e6 | −1.04152 | −0.520761 | − | 0.853702i | \(-0.674352\pi\) | ||||
−0.520761 | + | 0.853702i | \(0.674352\pi\) | |||||||
\(572\) | 3.06007e6 | + | 3.47374e6i | 0.391058 | + | 0.443923i | ||||
\(573\) | 7.96275e6 | − | 7.96275e6i | 1.01316 | − | 1.01316i | ||||
\(574\) | −90666.8 | + | 2.86694e6i | −0.0114860 | + | 0.363194i | ||||
\(575\) | −2.90633e6 | − | 1.86330e6i | −0.366586 | − | 0.235024i | ||||
\(576\) | 1.38844e7 | + | 2.66573e6i | 1.74369 | + | 0.334780i | ||||
\(577\) | −6.64442e6 | + | 6.64442e6i | −0.830840 | + | 0.830840i | −0.987632 | − | 0.156792i | \(-0.949885\pi\) |
0.156792 | + | 0.987632i | \(0.449885\pi\) | |||||||
\(578\) | −2.30784e6 | + | 2.16635e6i | −0.287334 | + | 0.269717i | ||||
\(579\) | − | 4.17934e6i | − | 0.518098i | ||||||
\(580\) | −5.63192e6 | + | 6.15585e6i | −0.695162 | + | 0.759832i | ||||
\(581\) | 9.80081e6i | 1.20454i | ||||||||
\(582\) | 1.17422e7 | + | 1.25091e7i | 1.43695 | + | 1.53081i | ||||
\(583\) | −7.00104e6 | + | 7.00104e6i | −0.853083 | + | 0.853083i | ||||
\(584\) | −60168.3 | − | 5723.74i | −0.00730022 | − | 0.000694461i | ||||
\(585\) | −663926. | − | 6.14380e6i | −0.0802102 | − | 0.742245i | ||||
\(586\) | 1.58046e6 | + | 49982.1i | 0.190125 | + | 0.00601272i | ||||
\(587\) | −3.99962e6 | + | 3.99962e6i | −0.479097 | + | 0.479097i | −0.904843 | − | 0.425746i | \(-0.860012\pi\) |
0.425746 | + | 0.904843i | \(0.360012\pi\) | |||||||
\(588\) | 4.79091e6 | + | 5.43858e6i | 0.571446 | + | 0.648697i | ||||
\(589\) | −2.99827e6 | −0.356109 | ||||||||
\(590\) | 5.01820e6 | − | 382282.i | 0.593497 | − | 0.0452120i | ||||
\(591\) | − | 1.82587e7i | − | 2.15031i | ||||||
\(592\) | −1.01103e6 | − | 1.30555e6i | −0.118566 | − | 0.153105i | ||||
\(593\) | −1.09039e7 | − | 1.09039e7i | −1.27334 | − | 1.27334i | −0.944322 | − | 0.329023i | \(-0.893281\pi\) |
−0.329023 | − | 0.944322i | \(-0.606719\pi\) | |||||||
\(594\) | −1.56249e7 | − | 494138.i | −1.81699 | − | 0.0574622i | ||||
\(595\) | −9.78887e6 | − | 7.87955e6i | −1.13355 | − | 0.912449i | ||||
\(596\) | −647165. | + | 1.02216e7i | −0.0746276 | + | 1.17870i | ||||
\(597\) | 6.22971e6 | + | 6.22971e6i | 0.715372 | + | 0.715372i | ||||
\(598\) | 1.16741e6 | − | 1.09584e6i | 0.133497 | − | 0.125312i | ||||
\(599\) | 1.29839e6 | 0.147856 | 0.0739281 | − | 0.997264i | \(-0.476446\pi\) | ||||
0.0739281 | + | 0.997264i | \(0.476446\pi\) | |||||||
\(600\) | −1.76526e6 | − | 1.45846e7i | −0.200184 | − | 1.65392i | ||||
\(601\) | 8.50221e6 | 0.960165 | 0.480082 | − | 0.877223i | \(-0.340607\pi\) | ||||
0.480082 | + | 0.877223i | \(0.340607\pi\) | |||||||
\(602\) | 1.97342e6 | − | 1.85243e6i | 0.221936 | − | 0.208329i | ||||
\(603\) | 758734. | + | 758734.i | 0.0849760 | + | 0.0849760i | ||||
\(604\) | −1.01094e7 | − | 640057.i | −1.12754 | − | 0.0713882i | ||||
\(605\) | −6.87035e6 | − | 5.53029e6i | −0.763116 | − | 0.614270i | ||||
\(606\) | −2.61749e7 | − | 827781.i | −2.89536 | − | 0.0915659i | ||||
\(607\) | 4.11444e6 | + | 4.11444e6i | 0.453251 | + | 0.453251i | 0.896432 | − | 0.443181i | \(-0.146150\pi\) |
−0.443181 | + | 0.896432i | \(0.646150\pi\) | |||||||
\(608\) | 8.87427e6 | − | 6.43408e6i | 0.973584 | − | 0.705875i | ||||
\(609\) | − | 1.93534e7i | − | 2.11453i | ||||||
\(610\) | −879727. | + | 67016.8i | −0.0957246 | + | 0.00729221i | ||||
\(611\) | 6.16166e6 | 0.667720 | ||||||||
\(612\) | 1.45758e7 | − | 1.28400e7i | 1.57309 | − | 1.38575i | ||||
\(613\) | −8.31731e6 | + | 8.31731e6i | −0.893988 | + | 0.893988i | −0.994896 | − | 0.100907i | \(-0.967825\pi\) |
0.100907 | + | 0.994896i | \(0.467825\pi\) | |||||||
\(614\) | 7.91221e6 | + | 250224.i | 0.846987 | + | 0.0267860i | ||||
\(615\) | 495008. | + | 4.58068e6i | 0.0527745 | + | 0.488362i | ||||
\(616\) | −1.62575e7 | − | 1.54655e6i | −1.72624 | − | 0.164215i | ||||
\(617\) | 1.22008e7 | − | 1.22008e7i | 1.29025 | − | 1.29025i | 0.355624 | − | 0.934629i | \(-0.384268\pi\) |
0.934629 | − | 0.355624i | \(-0.115732\pi\) | |||||||
\(618\) | −2.42092e6 | − | 2.57904e6i | −0.254982 | − | 0.271636i | ||||
\(619\) | 1.46475e6i | 0.153651i | 0.997045 | + | 0.0768256i | \(0.0244785\pi\) | ||||
−0.997045 | + | 0.0768256i | \(0.975522\pi\) | |||||||
\(620\) | −2.09123e6 | − | 1.91325e6i | −0.218486 | − | 0.199890i | ||||
\(621\) | 5.40692e6i | 0.562628i | ||||||||
\(622\) | 7.24813e6 | − | 6.80374e6i | 0.751191 | − | 0.705134i | ||||
\(623\) | 4.34643e6 | − | 4.34643e6i | 0.448655 | − | 0.448655i | ||||
\(624\) | 6.75914e6 | + | 859332.i | 0.694912 | + | 0.0883486i | ||||
\(625\) | −8.87423e6 | + | 4.07621e6i | −0.908721 | + | 0.417404i | ||||
\(626\) | 158664. | − | 5.01705e6i | 0.0161824 | − | 0.511696i | ||||
\(627\) | −1.96211e7 | + | 1.96211e7i | −1.99321 | + | 1.99321i | ||||
\(628\) | 2.41040e6 | − | 2.12335e6i | 0.243888 | − | 0.214844i | ||||
\(629\) | −2.26873e6 | −0.228642 | ||||||||
\(630\) | 1.65409e7 | + | 1.41992e7i | 1.66039 | + | 1.42532i | ||||
\(631\) | 1.24491e6i | 0.124470i | 0.998062 | + | 0.0622349i | \(0.0198228\pi\) | ||||
−0.998062 | + | 0.0622349i | \(0.980177\pi\) | |||||||
\(632\) | −1.22980e7 | + | 1.01615e7i | −1.22474 | + | 1.01196i | ||||
\(633\) | −4.65206e6 | − | 4.65206e6i | −0.461462 | − | 0.461462i | ||||
\(634\) | 23345.4 | − | 738196.i | 0.00230664 | − | 0.0729371i | ||||
\(635\) | 1.06209e6 | + | 9.82832e6i | 0.104527 | + | 0.967264i | ||||
\(636\) | −920783. | + | 1.45433e7i | −0.0902639 | + | 1.42567i | ||||
\(637\) | 1.58002e6 | + | 1.58002e6i | 0.154282 | + | 0.154282i | ||||
\(638\) | 1.01960e7 | + | 1.08620e7i | 0.991696 | + | 1.05647i | ||||
\(639\) | 4.34983e6 | 0.421425 | ||||||||
\(640\) | 1.02953e7 | + | 1.17517e6i | 0.993548 | + | 0.113410i | ||||
\(641\) | 1.52939e7 | 1.47019 | 0.735093 | − | 0.677966i | \(-0.237139\pi\) | ||||
0.735093 | + | 0.677966i | \(0.237139\pi\) | |||||||
\(642\) | −2.11821e7 | − | 2.25656e7i | −2.02830 | − | 2.16078i | ||||
\(643\) | −6.51059e6 | − | 6.51059e6i | −0.621001 | − | 0.621001i | 0.324786 | − | 0.945788i | \(-0.394708\pi\) |
−0.945788 | + | 0.324786i | \(0.894708\pi\) | |||||||
\(644\) | −356903. | + | 5.63710e6i | −0.0339106 | + | 0.535601i | ||||
\(645\) | 2.72610e6 | − | 3.38668e6i | 0.258014 | − | 0.320534i | ||||
\(646\) | 476040. | − | 1.50526e7i | 0.0448809 | − | 1.41916i | ||||
\(647\) | −1.22615e7 | − | 1.22615e7i | −1.15155 | − | 1.15155i | −0.986241 | − | 0.165311i | \(-0.947137\pi\) |
−0.165311 | − | 0.986241i | \(-0.552863\pi\) | |||||||
\(648\) | −3.10650e6 | + | 2.56681e6i | −0.290626 | + | 0.240135i | ||||
\(649\) | − | 8.98625e6i | − | 0.837465i | ||||||
\(650\) | −827248. | − | 4.45301e6i | −0.0767985 | − | 0.413400i | ||||
\(651\) | 6.57464e6 | 0.608022 | ||||||||
\(652\) | 1.04710e7 | − | 9.22401e6i | 0.964646 | − | 0.849769i | ||||
\(653\) | −748828. | + | 748828.i | −0.0687225 | + | 0.0687225i | −0.740633 | − | 0.671910i | \(-0.765474\pi\) |
0.671910 | + | 0.740633i | \(0.265474\pi\) | |||||||
\(654\) | 566323. | − | 1.79074e7i | 0.0517749 | − | 1.63715i | ||||
\(655\) | 1.03951e7 | + | 8.36750e6i | 0.946725 | + | 0.762066i | ||||
\(656\) | −3.22379e6 | − | 409861.i | −0.292488 | − | 0.0371858i | ||||
\(657\) | 101864. | − | 101864.i | 0.00920676 | − | 0.00920676i | ||||
\(658\) | −1.58481e7 | + | 1.48764e7i | −1.42696 | + | 1.33947i | ||||
\(659\) | 1.12652e7i | 1.01047i | 0.862981 | + | 0.505236i | \(0.168595\pi\) | ||||
−0.862981 | + | 0.505236i | \(0.831405\pi\) | |||||||
\(660\) | −2.62058e7 | + | 1.16477e6i | −2.34173 | + | 0.104083i | ||||
\(661\) | 4.35068e6i | 0.387305i | 0.981070 | + | 0.193653i | \(0.0620335\pi\) | ||||
−0.981070 | + | 0.193653i | \(0.937967\pi\) | |||||||
\(662\) | 523046. | + | 557209.i | 0.0463869 | + | 0.0494167i | ||||
\(663\) | 6.61952e6 | − | 6.61952e6i | 0.584847 | − | 0.584847i | ||||
\(664\) | −1.10540e7 | − | 1.05155e6i | −0.972970 | − | 0.0925575i | ||||
\(665\) | 1.68036e7 | − | 1.81587e6i | 1.47349 | − | 0.159232i | ||||
\(666\) | 3.93377e6 | + | 124405.i | 0.343656 | + | 0.0108681i | ||||
\(667\) | 3.64350e6 | − | 3.64350e6i | 0.317106 | − | 0.317106i | ||||
\(668\) | 1.18983e7 | − | 1.04814e7i | 1.03168 | − | 0.908820i | ||||
\(669\) | 4.10099e6 | 0.354261 | ||||||||
\(670\) | 596735. | + | 512253.i | 0.0513564 | + | 0.0440857i | ||||
\(671\) | 1.57535e6i | 0.135074i | ||||||||
\(672\) | −1.94596e7 | + | 1.41087e7i | −1.66230 | + | 1.20521i | ||||
\(673\) | 1.26868e7 | + | 1.26868e7i | 1.07973 | + | 1.07973i | 0.996533 | + | 0.0831954i | \(0.0265126\pi\) |
0.0831954 | + | 0.996533i | \(0.473487\pi\) | |||||||
\(674\) | 6.78119e6 | + | 214455.i | 0.574984 | + | 0.0181839i | ||||
\(675\) | 1.28756e7 | + | 8.25478e6i | 1.08770 | + | 0.697342i | ||||
\(676\) | −9.76123e6 | − | 618016.i | −0.821557 | − | 0.0520155i | ||||
\(677\) | −9.11245e6 | − | 9.11245e6i | −0.764123 | − | 0.764123i | 0.212942 | − | 0.977065i | \(-0.431696\pi\) |
−0.977065 | + | 0.212942i | \(0.931696\pi\) | |||||||
\(678\) | −1.24411e6 | + | 1.16784e6i | −0.103941 | + | 0.0975681i | ||||
\(679\) | −1.86594e7 | −1.55318 | ||||||||
\(680\) | 9.93735e6 | − | 1.01951e7i | 0.824135 | − | 0.845513i | ||||
\(681\) | −3.36830e7 | −2.78319 | ||||||||
\(682\) | −3.68997e6 | + | 3.46373e6i | −0.303782 | + | 0.285157i | ||||
\(683\) | −1.41156e7 | − | 1.41156e7i | −1.15784 | − | 1.15784i | −0.984939 | − | 0.172900i | \(-0.944686\pi\) |
−0.172900 | − | 0.984939i | \(-0.555314\pi\) | |||||||
\(684\) | −1.65082e6 | + | 2.60738e7i | −0.134915 | + | 2.13091i | ||||
\(685\) | 6.58437e6 | − | 711536.i | 0.536152 | − | 0.0579389i | ||||
\(686\) | 7.30444e6 | + | 231003.i | 0.592620 | + | 0.0187416i | ||||
\(687\) | 1.48028e7 | + | 1.48028e7i | 1.19661 | + | 1.19661i | ||||
\(688\) | 1.87756e6 | + | 2.42450e6i | 0.151224 | + | 0.195277i | ||||
\(689\) | 4.49263e6i | 0.360539i | ||||||||
\(690\) | 689159. | + | 9.04657e6i | 0.0551057 | + | 0.723371i | ||||
\(691\) | −1.99531e6 | −0.158970 | −0.0794852 | − | 0.996836i | \(-0.525328\pi\) | ||||
−0.0794852 | + | 0.996836i | \(0.525328\pi\) | |||||||
\(692\) | 5.62480e6 | + | 6.38520e6i | 0.446521 | + | 0.506885i | ||||
\(693\) | 2.75236e7 | − | 2.75236e7i | 2.17707 | − | 2.17707i | ||||
\(694\) | 4.48951e6 | + | 141981.i | 0.353835 | + | 0.0111900i | ||||
\(695\) | −4.77491e6 | + | 5.93194e6i | −0.374976 | + | 0.465838i | ||||
\(696\) | 2.18281e7 | + | 2.07648e6i | 1.70802 | + | 0.162482i | ||||
\(697\) | −3.15720e6 | + | 3.15720e6i | −0.246161 | + | 0.246161i | ||||
\(698\) | −7.67464e6 | − | 8.17592e6i | −0.596238 | − | 0.635182i | ||||
\(699\) | − | 1.96407e7i | − | 1.52042i | ||||||
\(700\) | 1.28789e7 | + | 9.45609e6i | 0.993419 | + | 0.729401i | ||||
\(701\) | 1.00792e7i | 0.774699i | 0.921933 | + | 0.387349i | \(0.126609\pi\) | ||||
−0.921933 | + | 0.387349i | \(0.873391\pi\) | |||||||
\(702\) | −5.17187e6 | + | 4.85478e6i | −0.396100 | + | 0.371815i | ||||
\(703\) | 2.15768e6 | − | 2.15768e6i | 0.164664 | − | 0.164664i | ||||
\(704\) | 3.48862e6 | − | 1.81703e7i | 0.265290 | − | 1.38176i | ||||
\(705\) | −2.18927e7 | + | 2.71977e7i | −1.65893 | + | 2.06091i | ||||
\(706\) | −526851. | + | 1.66593e7i | −0.0397810 | + | 1.25790i | ||||
\(707\) | 2.01394e7 | − | 2.01394e7i | 1.51530 | − | 1.51530i | ||||
\(708\) | −8.74263e6 | − | 9.92451e6i | −0.655479 | − | 0.744091i | ||||
\(709\) | 1.12397e7 | 0.839732 | 0.419866 | − | 0.907586i | \(-0.362077\pi\) | ||||
0.419866 | + | 0.907586i | \(0.362077\pi\) | |||||||
\(710\) | 3.17892e6 | − | 242167.i | 0.236665 | − | 0.0180289i | ||||
\(711\) | − | 3.80235e7i | − | 2.82084i | ||||||
\(712\) | 4.43585e6 | + | 5.36853e6i | 0.327927 | + | 0.396877i | ||||
\(713\) | 1.23775e6 | + | 1.23775e6i | 0.0911820 | + | 0.0911820i | ||||
\(714\) | −1.04386e6 | + | 3.30076e7i | −0.0766299 | + | 2.42308i | ||||
\(715\) | −8.04033e6 | + | 868874.i | −0.588178 | + | 0.0635611i | ||||
\(716\) | 3.39786e6 | + | 215130.i | 0.247698 | + | 0.0156826i | ||||
\(717\) | −2.63533e7 | − | 2.63533e7i | −1.91442 | − | 1.91442i | ||||
\(718\) | 8.23256e6 | + | 8.77027e6i | 0.595969 | + | 0.634895i | ||||
\(719\) | 988101. | 0.0712819 | 0.0356410 | − | 0.999365i | \(-0.488653\pi\) | ||||
0.0356410 | + | 0.999365i | \(0.488653\pi\) | |||||||
\(720\) | −1.77895e7 | + | 1.71325e7i | −1.27889 | + | 1.23166i | ||||
\(721\) | 3.84705e6 | 0.275607 | ||||||||
\(722\) | 4.27672e6 | + | 4.55606e6i | 0.305329 | + | 0.325272i | ||||
\(723\) | 2.05527e7 | + | 2.05527e7i | 1.46225 | + | 1.46225i | ||||
\(724\) | 2.65845e7 | + | 1.68315e6i | 1.88487 | + | 0.119337i | ||||
\(725\) | −3.11380e6 | − | 1.42389e7i | −0.220011 | − | 1.00608i | ||||
\(726\) | −732640. | + | 2.31665e7i | −0.0515880 | + | 1.63124i | ||||
\(727\) | 5.50085e6 | + | 5.50085e6i | 0.386006 | + | 0.386006i | 0.873260 | − | 0.487254i | \(-0.162002\pi\) |
−0.487254 | + | 0.873260i | \(0.662002\pi\) | |||||||
\(728\) | −5.71250e6 | + | 4.72007e6i | −0.399483 | + | 0.330080i | ||||
\(729\) | 2.12817e7i | 1.48316i | ||||||||
\(730\) | 68772.6 | − | 80114.7i | 0.00477648 | − | 0.00556423i | ||||
\(731\) | 4.21319e6 | 0.291620 | ||||||||
\(732\) | 1.53265e6 | + | 1.73984e6i | 0.105722 | + | 0.120014i | ||||
\(733\) | −1.53053e7 | + | 1.53053e7i | −1.05216 | + | 1.05216i | −0.0536011 | + | 0.998562i | \(0.517070\pi\) |
−0.998562 | + | 0.0536011i | \(0.982930\pi\) | |||||||
\(734\) | 99374.0 | − | 3.14226e6i | 0.00680820 | − | 0.215279i | ||||
\(735\) | −1.25881e7 | + | 1.36033e6i | −0.859495 | + | 0.0928808i | ||||
\(736\) | −6.31960e6 | − | 1.00736e6i | −0.430027 | − | 0.0685472i | ||||
\(737\) | 992949. | − | 992949.i | 0.0673377 | − | 0.0673377i | ||||
\(738\) | 5.64742e6 | − | 5.30117e6i | 0.381689 | − | 0.358287i | ||||
\(739\) | 3.32605e6i | 0.224036i | 0.993706 | + | 0.112018i | \(0.0357314\pi\) | ||||
−0.993706 | + | 0.112018i | \(0.964269\pi\) | |||||||
\(740\) | 2.88178e6 | − | 128086.i | 0.193456 | − | 0.00859852i | ||||
\(741\) | 1.25910e7i | 0.842393i | ||||||||
\(742\) | −1.08468e7 | − | 1.15553e7i | −0.723255 | − | 0.770495i | ||||
\(743\) | −1.06346e6 | + | 1.06346e6i | −0.0706726 | + | 0.0706726i | −0.741560 | − | 0.670887i | \(-0.765914\pi\) |
0.670887 | + | 0.741560i | \(0.265914\pi\) | |||||||
\(744\) | −705411. | + | 7.41532e6i | −0.0467207 | + | 0.491131i | ||||
\(745\) | −1.39378e7 | − | 1.12192e7i | −0.920030 | − | 0.740578i | ||||
\(746\) | 2.43364e7 | + | 769640.i | 1.60107 | + | 0.0506338i | ||||
\(747\) | 1.87143e7 | − | 1.87143e7i | 1.22707 | − | 1.22707i | ||||
\(748\) | −1.68036e7 | − | 1.90752e7i | −1.09812 | − | 1.24657i | ||||
\(749\) | 3.36602e7 | 2.19236 | ||||||||
\(750\) | 2.25949e7 | + | 1.21703e7i | 1.46676 | + | 0.790040i | ||||
\(751\) | − | 1.17292e7i | − | 0.758872i | −0.925218 | − | 0.379436i | \(-0.876118\pi\) | ||
0.925218 | − | 0.379436i | \(-0.123882\pi\) | |||||||
\(752\) | −1.50782e7 | − | 1.94707e7i | −0.972313 | − | 1.25556i | ||||
\(753\) | 7.89023e6 | + | 7.89023e6i | 0.507110 | + | 0.507110i | ||||
\(754\) | 6.75654e6 | + | 213676.i | 0.432809 | + | 0.0136876i | ||||
\(755\) | 1.10960e7 | − | 1.37847e7i | 0.708430 | − | 0.880093i | ||||
\(756\) | 1.58115e6 | − | 2.49735e7i | 0.100617 | − | 1.58918i | ||||
\(757\) | −1.45096e7 | − | 1.45096e7i | −0.920273 | − | 0.920273i | 0.0767755 | − | 0.997048i | \(-0.475538\pi\) |
−0.997048 | + | 0.0767755i | \(0.975538\pi\) | |||||||
\(758\) | −2.14993e7 | + | 2.01811e7i | −1.35910 | + | 1.27577i | ||||
\(759\) | 1.62000e7 | 1.02073 | ||||||||
\(760\) | 245158. | + | 1.91470e7i | 0.0153961 | + | 1.20245i | ||||
\(761\) | −2.07005e7 | −1.29574 | −0.647871 | − | 0.761750i | \(-0.724341\pi\) | ||||
−0.647871 | + | 0.761750i | \(0.724341\pi\) | |||||||
\(762\) | 1.89416e7 | − | 1.77803e7i | 1.18176 | − | 1.10931i | ||||
\(763\) | 1.37783e7 | + | 1.37783e7i | 0.856807 | + | 0.856807i | ||||
\(764\) | −1.38479e7 | − | 876754.i | −0.858320 | − | 0.0543431i | ||||
\(765\) | 3.64578e6 | + | 3.37371e7i | 0.225236 | + | 2.08427i | ||||
\(766\) | −1.23415e7 | − | 390300.i | −0.759969 | − | 0.0240340i | ||||
\(767\) | −2.88328e6 | − | 2.88328e6i | −0.176969 | − | 0.176969i | ||||
\(768\) | −1.38249e7 | − | 2.34616e7i | −0.845782 | − | 1.43534i | ||||
\(769\) | − | 2.00528e7i | − | 1.22281i | −0.791317 | − | 0.611406i | \(-0.790604\pi\) | ||
0.791317 | − | 0.611406i | \(-0.209396\pi\) | |||||||
\(770\) | 1.85824e7 | − | 2.16470e7i | 1.12947 | − | 1.31574i | ||||
\(771\) | −2.56276e7 | −1.55265 | ||||||||
\(772\) | −3.86419e6 | + | 3.40402e6i | −0.233354 | + | 0.205565i | ||||
\(773\) | −1.94185e7 | + | 1.94185e7i | −1.16887 | + | 1.16887i | −0.186397 | + | 0.982475i | \(0.559681\pi\) |
−0.982475 | + | 0.186397i | \(0.940319\pi\) | |||||||
\(774\) | −7.30529e6 | − | 231030.i | −0.438314 | − | 0.0138617i | ||||
\(775\) | 4.83716e6 | − | 1.05780e6i | 0.289292 | − | 0.0632631i | ||||
\(776\) | 2.00201e6 | − | 2.10453e7i | 0.119347 | − | 1.25459i | ||||
\(777\) | −4.73137e6 | + | 4.73137e6i | −0.281148 | + | 0.281148i | ||||
\(778\) | −9.22444e6 | − | 9.82694e6i | −0.546375 | − | 0.582062i | ||||
\(779\) | − | 6.00532e6i | − | 0.354562i | ||||||
\(780\) | −8.03451e6 | + | 8.78195e6i | −0.472850 | + | 0.516838i | ||||
\(781\) | − | 5.69258e6i | − | 0.333950i | ||||||
\(782\) | −6.41056e6 | + | 6.01752e6i | −0.374869 | + | 0.351885i | ||||
\(783\) | −1.61414e7 | + | 1.61414e7i | −0.940886 | + | 0.940886i | ||||
\(784\) | 1.12634e6 | − | 8.85929e6i | 0.0654453 | − | 0.514765i | ||||
\(785\) | 602904. | + | 5.57912e6i | 0.0349200 | + | 0.323141i | ||||
\(786\) | 1.10851e6 | − | 3.50516e7i | 0.0640003 | − | 2.02373i | ||||
\(787\) | 6.19306e6 | − | 6.19306e6i | 0.356425 | − | 0.356425i | −0.506068 | − | 0.862493i | \(-0.668902\pi\) |
0.862493 | + | 0.506068i | \(0.168902\pi\) | |||||||
\(788\) | −1.68818e7 | + | 1.48714e7i | −0.968511 | + | 0.853174i | ||||
\(789\) | −6.88760e6 | −0.393891 | ||||||||
\(790\) | −2.11687e6 | − | 2.77882e7i | −0.120678 | − | 1.58413i | ||||
\(791\) | − | 1.85579e6i | − | 0.105460i | ||||||
\(792\) | 2.80899e7 | + | 3.39961e7i | 1.59125 | + | 1.92582i | ||||
\(793\) | 505459. | + | 505459.i | 0.0285432 | + | 0.0285432i | ||||
\(794\) | 666504. | − | 2.10752e7i | 0.0375190 | − | 1.18637i | ||||
\(795\) | −1.98305e7 | − | 1.59626e7i | −1.11280 | − | 0.895747i | ||||
\(796\) | 685934. | − | 1.08340e7i | 0.0383707 | − | 0.606045i | ||||
\(797\) | 2.08333e7 | + | 2.08333e7i | 1.16175 | + | 1.16175i | 0.984093 | + | 0.177653i | \(0.0568505\pi\) |
0.177653 | + | 0.984093i | \(0.443150\pi\) | |||||||
\(798\) | −3.03991e7 | − | 3.23847e7i | −1.68987 | − | 1.80025i | ||||
\(799\) | −3.38352e7 | −1.87500 | ||||||||
\(800\) | −1.20470e7 | + | 1.35111e7i | −0.665510 | + | 0.746389i | ||||
\(801\) | −1.65987e7 | −0.914096 | ||||||||
\(802\) | 2.80823e6 | + | 2.99165e6i | 0.154169 | + | 0.164238i | ||||
\(803\) | −133308. | − | 133308.i | −0.00729573 | − | 0.00729573i | ||||
\(804\) | 130593. | − | 2.06265e6i | 0.00712494 | − | 0.112535i | ||||
\(805\) | −7.68649e6 | − | 6.18724e6i | −0.418060 | − | 0.336517i | ||||
\(806\) | −72588.8 | + | 2.29530e6i | −0.00393579 | + | 0.124452i | ||||
\(807\) | 2.96495e7 | + | 2.96495e7i | 1.60263 | + | 1.60263i | ||||
\(808\) | 2.05537e7 | + | 2.48753e7i | 1.10755 | + | 1.34042i | ||||
\(809\) | 2.04829e7i | 1.10032i | 0.835058 | + | 0.550161i | \(0.185434\pi\) | ||||
−0.835058 | + | 0.550161i | \(0.814566\pi\) | |||||||
\(810\) | −534726. | − | 7.01934e6i | −0.0286364 | − | 0.375910i | ||||
\(811\) | 7.29990e6 | 0.389731 | 0.194866 | − | 0.980830i | \(-0.437573\pi\) | ||||
0.194866 | + | 0.980830i | \(0.437573\pi\) | |||||||
\(812\) | −1.78940e7 | + | 1.57631e7i | −0.952397 | + | 0.838979i | ||||
\(813\) | −1.81115e7 | + | 1.81115e7i | −0.961011 | + | 0.961011i | ||||
\(814\) | 162808. | − | 5.14809e6i | 0.00861223 | − | 0.272324i | ||||
\(815\) | 2.61906e6 | + | 2.42361e7i | 0.138118 | + | 1.27811i | ||||
\(816\) | −3.71161e7 | − | 4.71881e6i | −1.95136 | − | 0.248089i | ||||
\(817\) | −4.00696e6 | + | 4.00696e6i | −0.210020 | + | 0.210020i | ||||
\(818\) | 6.34774e6 | − | 5.95856e6i | 0.331693 | − | 0.311356i | ||||
\(819\) | − | 1.76622e7i | − | 0.920098i | ||||||
\(820\) | 3.83209e6 | − | 4.18858e6i | 0.199022 | − | 0.217537i | ||||
\(821\) | − | 1.41337e7i | − | 0.731810i | −0.930652 | − | 0.365905i | \(-0.880759\pi\) | ||
0.930652 | − | 0.365905i | \(-0.119241\pi\) | |||||||
\(822\) | −1.19117e7 | − | 1.26897e7i | −0.614886 | − | 0.655047i | ||||
\(823\) | 1.37689e7 | − | 1.37689e7i | 0.708597 | − | 0.708597i | −0.257643 | − | 0.966240i | \(-0.582946\pi\) |
0.966240 | + | 0.257643i | \(0.0829458\pi\) | |||||||
\(824\) | −412760. | + | 4.33896e6i | −0.0211777 | + | 0.222622i | ||||
\(825\) | 2.47326e7 | − | 3.85773e7i | 1.26513 | − | 1.97332i | ||||
\(826\) | 1.43772e7 | + | 454678.i | 0.733202 | + | 0.0231875i | ||||
\(827\) | −1.07298e7 | + | 1.07298e7i | −0.545543 | + | 0.545543i | −0.925148 | − | 0.379605i | \(-0.876060\pi\) |
0.379605 | + | 0.925148i | \(0.376060\pi\) | |||||||
\(828\) | 1.14453e7 | − | 1.00823e7i | 0.580165 | − | 0.511075i | ||||
\(829\) | 3.03082e7 | 1.53170 | 0.765851 | − | 0.643018i | \(-0.222318\pi\) | ||||
0.765851 | + | 0.643018i | \(0.222318\pi\) | |||||||
\(830\) | 1.26348e7 | − | 1.47185e7i | 0.636608 | − | 0.741599i | ||||
\(831\) | 4.23131e7i | 2.12555i | ||||||||
\(832\) | −4.71070e6 | − | 6.94937e6i | −0.235927 | − | 0.348046i | ||||
\(833\) | −8.67628e6 | − | 8.67628e6i | −0.433233 | − | 0.433233i | ||||
\(834\) | 2.00022e7 | + | 632569.i | 0.995777 | + | 0.0314915i | ||||
\(835\) | 2.97608e6 | + | 2.75399e7i | 0.147716 | + | 1.36693i | ||||
\(836\) | 3.41226e7 | + | 2.16041e6i | 1.68860 | + | 0.106911i | ||||
\(837\) | −5.48348e6 | − | 5.48348e6i | −0.270547 | − | 0.270547i | ||||
\(838\) | 1.19688e7 | − | 1.12350e7i | 0.588762 | − | 0.552664i | ||||
\(839\) | 1.88656e7 | 0.925263 | 0.462632 | − | 0.886551i | \(-0.346905\pi\) | ||||
0.462632 | + | 0.886551i | \(0.346905\pi\) | |||||||
\(840\) | −537584. | − | 4.19858e7i | −0.0262874 | − | 2.05307i | ||||
\(841\) | 1.24288e6 | 0.0605955 | ||||||||
\(842\) | −1.65927e7 | + | 1.55754e7i | −0.806562 | + | 0.757111i | ||||
\(843\) | 3.83030e7 | + | 3.83030e7i | 1.85637 | + | 1.85637i | ||||
\(844\) | −512224. | + | 8.09030e6i | −0.0247516 | + | 0.390938i | ||||
\(845\) | 1.07139e7 | − | 1.33100e7i | 0.516183 | − | 0.641262i | ||||
\(846\) | 5.86672e7 | + | 1.85535e6i | 2.81818 | + | 0.0891251i | ||||
\(847\) | −1.78247e7 | − | 1.78247e7i | −0.853714 | − | 0.853714i | ||||
\(848\) | 1.41966e7 | − | 1.09939e7i | 0.677944 | − | 0.525006i | ||||
\(849\) | − | 4.30989e7i | − | 2.05209i | ||||||
\(850\) | 4.54263e6 | + | 2.44526e7i | 0.215655 | + | 1.16085i | ||||
\(851\) | −1.78147e6 | −0.0843246 | ||||||||
\(852\) | −5.53826e6 | − | 6.28695e6i | −0.261381 | − | 0.296716i | ||||
\(853\) | −2.97901e6 | + | 2.97901e6i | −0.140184 | + | 0.140184i | −0.773716 | − | 0.633532i | \(-0.781604\pi\) |
0.633532 | + | 0.773716i | \(0.281604\pi\) | |||||||
\(854\) | −2.52042e6 | − | 79708.4i | −0.118258 | − | 0.00373989i | ||||
\(855\) | −3.55531e7 | − | 2.86184e7i | −1.66327 | − | 1.33885i | ||||
\(856\) | −3.61149e6 | + | 3.79642e7i | −0.168462 | + | 1.77088i | ||||
\(857\) | 1.86612e7 | − | 1.86612e7i | 0.867934 | − | 0.867934i | −0.124309 | − | 0.992244i | \(-0.539671\pi\) |
0.992244 | + | 0.124309i | \(0.0396714\pi\) | |||||||
\(858\) | 1.45457e7 | + | 1.54957e7i | 0.674552 | + | 0.718611i | ||||
\(859\) | 9.47597e6i | 0.438168i | 0.975706 | + | 0.219084i | \(0.0703069\pi\) | ||||
−0.975706 | + | 0.219084i | \(0.929693\pi\) | |||||||
\(860\) | −5.35168e6 | + | 237866.i | −0.246742 | + | 0.0109669i | ||||
\(861\) | 1.31685e7i | 0.605381i | ||||||||
\(862\) | −1.58278e7 | + | 1.48574e7i | −0.725524 | + | 0.681041i | ||||
\(863\) | 1.10084e7 | − | 1.10084e7i | 0.503150 | − | 0.503150i | −0.409265 | − | 0.912415i | \(-0.634215\pi\) |
0.912415 | + | 0.409265i | \(0.134215\pi\) | |||||||
\(864\) | 2.79971e7 | + | 4.46280e6i | 1.27593 | + | 0.203387i | ||||
\(865\) | −1.47792e7 | + | 1.59710e6i | −0.671600 | + | 0.0725760i | ||||
\(866\) | −937262. | + | 2.96368e7i | −0.0424684 | + | 1.34288i | ||||
\(867\) | −1.02755e7 | + | 1.02755e7i | −0.464254 | + | 0.464254i | ||||
\(868\) | −5.35496e6 | − | 6.07887e6i | −0.241244 | − | 0.273857i | ||||
\(869\) | −4.97611e7 | −2.23532 | ||||||||
\(870\) | −2.49496e7 | + | 2.90643e7i | −1.11754 | + | 1.30185i | ||||
\(871\) | − | 637184.i | − | 0.0284590i | ||||||
\(872\) | −1.70184e7 | + | 1.40617e7i | −0.757925 | + | 0.626250i | ||||
\(873\) | 3.56293e7 | + | 3.56293e7i | 1.58224 | + | 1.58224i | ||||
\(874\) | 373800. | − | 1.18198e7i | 0.0165524 | − | 0.523395i | ||||
\(875\) | −2.64688e7 | + | 8.85794e6i | −1.16873 | + | 0.391122i | ||||
\(876\) | −276922. | − | 17532.8i | −0.0121926 | − | 0.000771955i | ||||
\(877\) | 2.89957e6 | + | 2.89957e6i | 0.127302 | + | 0.127302i | 0.767887 | − | 0.640585i | \(-0.221308\pi\) |
−0.640585 | + | 0.767887i | \(0.721308\pi\) | |||||||
\(878\) | −8.57199e6 | − | 9.13188e6i | −0.375271 | − | 0.399783i | ||||
\(879\) | 7.25944e6 | 0.316906 | ||||||||
\(880\) | 2.24212e7 | + | 2.32810e7i | 0.976004 | + | 1.01343i | ||||
\(881\) | 1.40093e7 | 0.608101 | 0.304050 | − | 0.952656i | \(-0.401661\pi\) | ||||
0.304050 | + | 0.952656i | \(0.401661\pi\) | |||||||
\(882\) | 1.45681e7 | + | 1.55197e7i | 0.630569 | + | 0.671755i | ||||
\(883\) | −1.69111e7 | − | 1.69111e7i | −0.729910 | − | 0.729910i | 0.240692 | − | 0.970602i | \(-0.422626\pi\) |
−0.970602 | + | 0.240692i | \(0.922626\pi\) | |||||||
\(884\) | −1.15119e7 | − | 728854.i | −0.495467 | − | 0.0313697i | ||||
\(885\) | 2.29713e7 | − | 2.48238e6i | 0.985887 | − | 0.106539i | ||||
\(886\) | 534617. | − | 1.69049e7i | 0.0228801 | − | 0.723482i | ||||
\(887\) | −2.40592e7 | − | 2.40592e7i | −1.02677 | − | 1.02677i | −0.999632 | − | 0.0271360i | \(-0.991361\pi\) |
−0.0271360 | − | 0.999632i | \(-0.508639\pi\) | |||||||
\(888\) | −4.82872e6 | − | 5.84400e6i | −0.205494 | − | 0.248701i | ||||
\(889\) | 2.82544e7i | 1.19904i | ||||||||
\(890\) | −1.21305e7 | + | 924093.i | −0.513340 | + | 0.0391057i | ||||
\(891\) | −1.25697e7 | −0.530435 | ||||||||
\(892\) | −3.34020e6 | − | 3.79175e6i | −0.140560 | − | 0.159561i | ||||
\(893\) | 3.21790e7 | − | 3.21790e7i | 1.35034 | − | 1.35034i | ||||
\(894\) | −1.48629e6 | + | 4.69974e7i | −0.0621957 | + | 1.96666i | ||||
\(895\) | −3.72946e6 | + | 4.63316e6i | −0.155628 | + | 0.193339i | ||||
\(896\) | 2.88944e7 | + | 6.50083e6i | 1.20238 | + | 0.270520i | ||||
\(897\) | 5.19783e6 | − | 5.19783e6i | 0.215695 | − | 0.215695i | ||||
\(898\) | −1.89147e7 | + | 1.77551e7i | −0.782726 | + | 0.734736i | ||||
\(899\) | 7.39017e6i | 0.304969i | ||||||||
\(900\) | −6.53565e6 | − | 4.26477e7i | −0.268957 | − | 1.75505i | ||||
\(901\) | − | 2.46702e7i | − | 1.01242i | ||||||
\(902\) | −6.93760e6 | − | 7.39073e6i | −0.283918 | − | 0.302462i | ||||
\(903\) | 8.78650e6 | − | 8.78650e6i | 0.358589 | − | 0.358589i | ||||
\(904\) | 2.09309e6 | + | 199113.i | 0.0851856 | + | 0.00810360i | ||||
\(905\) | −2.91789e7 | + | 3.62494e7i | −1.18426 | + | 1.47123i | ||||
\(906\) | −4.64811e7 | − | 1.46997e6i | −1.88129 | − | 0.0594959i | ||||
\(907\) | 5.04627e6 | − | 5.04627e6i | 0.203682 | − | 0.203682i | −0.597894 | − | 0.801575i | \(-0.703996\pi\) |
0.801575 | + | 0.597894i | \(0.203996\pi\) | |||||||
\(908\) | 2.74344e7 | + | 3.11431e7i | 1.10428 | + | 1.25357i | ||||
\(909\) | −7.69106e7 | −3.08729 | ||||||||
\(910\) | −983301. | − | 1.29078e7i | −0.0393625 | − | 0.516711i | ||||
\(911\) | 3.08614e7i | 1.23202i | 0.787737 | + | 0.616012i | \(0.211253\pi\) | ||||
−0.787737 | + | 0.616012i | \(0.788747\pi\) | |||||||
\(912\) | 3.97872e7 | − | 3.08115e7i | 1.58400 | − | 1.22667i | ||||
\(913\) | −2.44912e7 | − | 2.44912e7i | −0.972373 | − | 0.972373i | ||||
\(914\) | −2.06330e7 | − | 652519.i | −0.816953 | − | 0.0258361i | ||||
\(915\) | −4.02703e6 | + | 435179.i | −0.159013 | + | 0.0171836i | ||||
\(916\) | 1.62989e6 | − | 2.57432e7i | 0.0641828 | − | 1.01373i | ||||
\(917\) | 2.69693e7 | + | 2.69693e7i | 1.05912 | + | 1.05912i | ||||
\(918\) | 2.84001e7 | − | 2.66588e7i | 1.11228 | − | 1.04408i | ||||
\(919\) | 1.46484e7 | 0.572141 | 0.286070 | − | 0.958209i | \(-0.407651\pi\) | ||||
0.286070 | + | 0.958209i | \(0.407651\pi\) | |||||||
\(920\) | 7.80308e6 | − | 8.00550e6i | 0.303946 | − | 0.311831i | ||||
\(921\) | 3.63426e7 | 1.41178 | ||||||||
\(922\) | −1.81400e7 | + | 1.70278e7i | −0.702765 | + | 0.659678i | ||||
\(923\) | −1.82649e6 | − | 1.82649e6i | −0.0705688 | − | 0.0705688i | ||||
\(924\) | −7.48243e7 | − | 4.73737e6i | −2.88312 | − | 0.182540i | ||||
\(925\) | −2.71978e6 | + | 4.24225e6i | −0.104515 | + | 0.163020i | ||||
\(926\) | −4.83904e7 | − | 1.53035e6i | −1.85452 | − | 0.0586492i | ||||
\(927\) | −7.34578e6 | − | 7.34578e6i | −0.280762 | − | 0.280762i | ||||
\(928\) | −1.58588e7 | − | 2.18734e7i | −0.604505 | − | 0.833768i | ||||
\(929\) | 1.85132e7i | 0.703787i | 0.936040 | + | 0.351893i | \(0.114462\pi\) | ||||
−0.936040 | + | 0.351893i | \(0.885538\pi\) | |||||||
\(930\) | −9.87357e6 | − | 8.47574e6i | −0.374341 | − | 0.321344i | ||||
\(931\) | 1.65032e7 | 0.624013 | ||||||||
\(932\) | −1.81597e7 | + | 1.59971e7i | −0.684807 | + | 0.603255i | ||||
\(933\) | 3.22718e7 | − | 3.22718e7i | 1.21372 | − | 1.21372i | ||||
\(934\) | 1.48590e7 | + | 469915.i | 0.557342 | + | 0.0176259i | ||||
\(935\) | 4.41515e7 | − | 4.77120e6i | 1.65164 | − | 0.178484i | ||||
\(936\) | 1.99206e7 | + | 1.89502e6i | 0.743211 | + | 0.0707008i | ||||
\(937\) | −8.18860e6 | + | 8.18860e6i | −0.304692 | + | 0.304692i | −0.842846 | − | 0.538154i | \(-0.819122\pi\) |
0.538154 | + | 0.842846i | \(0.319122\pi\) | |||||||
\(938\) | 1.53839e6 | + | 1.63887e6i | 0.0570898 | + | 0.0608187i | ||||
\(939\) | − | 2.30445e7i | − | 0.852910i | ||||||
\(940\) | 4.29781e7 | − | 1.91025e6i | 1.58645 | − | 0.0705131i | ||||
\(941\) | 1.27802e7i | 0.470503i | 0.971935 | + | 0.235251i | \(0.0755913\pi\) | ||||
−0.971935 | + | 0.235251i | \(0.924409\pi\) | |||||||
\(942\) | 1.07523e7 | − | 1.00931e7i | 0.394799 | − | 0.370594i | ||||
\(943\) | −2.47912e6 | + | 2.47912e6i | −0.0907859 | + | 0.0907859i | ||||
\(944\) | −2.05538e6 | + | 1.61668e7i | −0.0750693 | + | 0.590463i | ||||
\(945\) | 3.40527e7 | + | 2.74107e7i | 1.24043 | + | 0.998482i | ||||
\(946\) | −302347. | + | 9.56037e6i | −0.0109844 | + | 0.347334i | ||||
\(947\) | 1.83592e7 | − | 1.83592e7i | 0.665239 | − | 0.665239i | −0.291371 | − | 0.956610i | \(-0.594111\pi\) |
0.956610 | + | 0.291371i | \(0.0941114\pi\) | |||||||
\(948\) | −5.49567e7 | + | 4.84121e7i | −1.98609 | + | 1.74958i | ||||
\(949\) | −85545.2 | −0.00308340 | ||||||||
\(950\) | −2.75760e7 | − | 1.89354e7i | −0.991338 | − | 0.680716i | ||||
\(951\) | − | 3.39071e6i | − | 0.121574i | ||||||
\(952\) | 3.13688e7 | − | 2.59191e7i | 1.12177 | − | 0.926887i | ||||
\(953\) | −2.05931e6 | − | 2.05931e6i | −0.0734497 | − | 0.0734497i | 0.669428 | − | 0.742877i | \(-0.266539\pi\) |
−0.742877 | + | 0.669428i | \(0.766539\pi\) | |||||||
\(954\) | −1.35279e6 | + | 4.27758e7i | −0.0481236 | + | 1.52169i | ||||
\(955\) | 1.51993e7 | − | 1.88823e7i | 0.539281 | − | 0.669957i | ||||
\(956\) | −2.90168e6 | + | 4.58304e7i | −0.102684 | + | 1.62184i | ||||
\(957\) | 4.83621e7 | + | 4.83621e7i | 1.70697 | + | 1.70697i | ||||
\(958\) | 2.79347e7 | + | 2.97592e7i | 0.983399 | + | 1.04763i | ||||
\(959\) | 1.89287e7 | 0.664622 | ||||||||
\(960\) | 4.74120e7 | + | 3.89844e6i | 1.66039 | + | 0.136525i | ||||
\(961\) | 2.61186e7 | 0.912308 | ||||||||
\(962\) | −1.59955e6 | − | 1.70403e6i | −0.0557263 | − | 0.0593661i | ||||
\(963\) | −6.42728e7 | − | 6.42728e7i | −2.23338 | − | 2.23338i | ||||
\(964\) | 2.26299e6 | − | 3.57427e7i | 0.0784314 | − | 1.23878i | ||||
\(965\) | −966535. | − | 8.94407e6i | −0.0334118 | − | 0.309184i | ||||
\(966\) | −819671. | + | 2.59185e7i | −0.0282616 | + | 0.893648i | ||||
\(967\) | −2.60853e7 | − | 2.60853e7i | −0.897078 | − | 0.897078i | 0.0980983 | − | 0.995177i | \(-0.468724\pi\) |
−0.995177 | + | 0.0980983i | \(0.968724\pi\) | |||||||
\(968\) | 2.20163e7 | − | 1.81914e7i | 0.755189 | − | 0.623990i | ||||
\(969\) | − | 6.91403e7i | − | 2.36550i | ||||||
\(970\) | 2.80220e7 | + | 2.40548e7i | 0.956246 | + | 0.820867i | ||||
\(971\) | −1.27949e7 | −0.435500 | −0.217750 | − | 0.976005i | \(-0.569872\pi\) | ||||
−0.217750 | + | 0.976005i | \(0.569872\pi\) | |||||||
\(972\) | 1.46754e7 | − | 1.29277e7i | 0.498222 | − | 0.438890i | ||||
\(973\) | −1.53900e7 | + | 1.53900e7i | −0.521142 | + | 0.521142i | ||||
\(974\) | 364713. | − | 1.15324e7i | 0.0123184 | − | 0.389514i | ||||
\(975\) | −4.44215e6 | − | 2.03133e7i | −0.149652 | − | 0.684334i | ||||
\(976\) | 360323. | − | 2.83415e6i | 0.0121079 | − | 0.0952354i | ||||
\(977\) | −2.24653e6 | + | 2.24653e6i | −0.0752967 | + | 0.0752967i | −0.743752 | − | 0.668455i | \(-0.766956\pi\) |
0.668455 | + | 0.743752i | \(0.266956\pi\) | |||||||
\(978\) | 4.67090e7 | − | 4.38452e7i | 1.56154 | − | 1.46580i | ||||
\(979\) | 2.17225e7i | 0.724358i | ||||||||
\(980\) | 1.15106e7 | + | 1.05309e7i | 0.382854 | + | 0.350269i | ||||
\(981\) | − | 5.26181e7i | − | 1.74567i | ||||||
\(982\) | 3.37502e7 | + | 3.59546e7i | 1.11686 | + | 1.18981i | ||||
\(983\) | 1.08719e6 | − | 1.08719e6i | 0.0358857 | − | 0.0358857i | −0.688936 | − | 0.724822i | \(-0.741922\pi\) |
0.724822 | + | 0.688936i | \(0.241922\pi\) | |||||||
\(984\) | −1.48523e7 | − | 1.41288e6i | −0.488998 | − | 0.0465178i | ||||
\(985\) | −4.22259e6 | − | 3.90748e7i | −0.138672 | − | 1.28323i | ||||
\(986\) | −3.71019e7 | − | 1.17335e6i | −1.21536 | − | 0.0384356i | ||||
\(987\) | −7.05624e7 | + | 7.05624e7i | −2.30558 | + | 2.30558i | ||||
\(988\) | 1.16416e7 | − | 1.02552e7i | 0.379419 | − | 0.334235i | ||||
\(989\) | 3.30831e6 | 0.107551 | ||||||||
\(990\) | −7.68163e7 | + | 5.85179e6i | −2.49095 | + | 0.189758i | ||||
\(991\) | 3.55052e7i | 1.14844i | 0.818701 | + | 0.574220i | \(0.194695\pi\) | ||||
−0.818701 | + | 0.574220i | \(0.805305\pi\) | |||||||
\(992\) | 7.43070e6 | − | 5.38746e6i | 0.239746 | − | 0.173822i | ||||
\(993\) | 2.48093e6 | + | 2.48093e6i | 0.0798440 | + | 0.0798440i | ||||
\(994\) | 9.10761e6 | + | 288028.i | 0.292374 | + | 0.00924632i | ||||
\(995\) | 1.47727e7 | + | 1.18913e7i | 0.473045 | + | 0.380777i | ||||
\(996\) | −5.08755e7 | − | 3.22110e6i | −1.62503 | − | 0.102886i | ||||
\(997\) | −2.35703e7 | − | 2.35703e7i | −0.750979 | − | 0.750979i | 0.223683 | − | 0.974662i | \(-0.428192\pi\) |
−0.974662 | + | 0.223683i | \(0.928192\pi\) | |||||||
\(998\) | −9.55118e6 | + | 8.96559e6i | −0.303550 | + | 0.284939i | ||||
\(999\) | 7.89226e6 | 0.250200 |
(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 | 40.6.k.a.3.8 | ✓ | 56 | |
4.3 | odd | 2 | 160.6.o.a.143.28 | 56 | |||
5.2 | odd | 4 | inner | 40.6.k.a.27.22 | yes | 56 | |
8.3 | odd | 2 | inner | 40.6.k.a.3.22 | yes | 56 | |
8.5 | even | 2 | 160.6.o.a.143.27 | 56 | |||
20.7 | even | 4 | 160.6.o.a.47.27 | 56 | |||
40.27 | even | 4 | inner | 40.6.k.a.27.8 | yes | 56 | |
40.37 | odd | 4 | 160.6.o.a.47.28 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.6.k.a.3.8 | ✓ | 56 | 1.1 | even | 1 | trivial | |
40.6.k.a.3.22 | yes | 56 | 8.3 | odd | 2 | inner | |
40.6.k.a.27.8 | yes | 56 | 40.27 | even | 4 | inner | |
40.6.k.a.27.22 | yes | 56 | 5.2 | odd | 4 | inner | |
160.6.o.a.47.27 | 56 | 20.7 | even | 4 | |||
160.6.o.a.47.28 | 56 | 40.37 | odd | 4 | |||
160.6.o.a.143.27 | 56 | 8.5 | even | 2 | |||
160.6.o.a.143.28 | 56 | 4.3 | odd | 2 |