Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,4,Mod(3,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.65205348016\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 2 x^{18} - 24 x^{17} + 28 x^{16} + 56 x^{15} - 192 x^{14} + 352 x^{13} - 448 x^{12} + 5376 x^{11} - 41472 x^{10} + 43008 x^{9} - 28672 x^{8} + 180224 x^{7} + \cdots + 1073741824 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{24} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.7 | ||
Root | \(-2.82600 - 0.117237i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.19 |
Dual form | 28.4.f.a.3.7 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31147 | + | 2.50600i | 0.463674 | + | 0.886006i | ||||
\(3\) | −0.0469307 | − | 0.0812864i | −0.00903182 | − | 0.0156436i | 0.861474 | − | 0.507801i | \(-0.169542\pi\) |
−0.870506 | + | 0.492158i | \(0.836208\pi\) | |||||||
\(4\) | −4.56010 | + | 6.57309i | −0.570013 | + | 0.821636i | ||||
\(5\) | 12.4861 | + | 7.20883i | 1.11679 | + | 0.644778i | 0.940579 | − | 0.339575i | \(-0.110283\pi\) |
0.176209 | + | 0.984353i | \(0.443617\pi\) | |||||||
\(6\) | 0.142156 | − | 0.224213i | 0.00967247 | − | 0.0152558i | ||||
\(7\) | −15.0686 | − | 10.7674i | −0.813627 | − | 0.581387i | ||||
\(8\) | −22.4526 | − | 2.80725i | −0.992274 | − | 0.124064i | ||||
\(9\) | 13.4956 | − | 23.3751i | 0.499837 | − | 0.865743i | ||||
\(10\) | −1.69029 | + | 40.7443i | −0.0534515 | + | 1.28845i | ||||
\(11\) | 31.6215 | − | 18.2567i | 0.866749 | − | 0.500418i | 0.000482758 | − | 1.00000i | \(-0.499846\pi\) |
0.866267 | + | 0.499582i | \(0.166513\pi\) | |||||||
\(12\) | 0.748311 | + | 0.0621947i | 0.0180016 | + | 0.00149617i | ||||
\(13\) | − | 15.3232i | − | 0.326914i | −0.986550 | − | 0.163457i | \(-0.947735\pi\) | ||
0.986550 | − | 0.163457i | \(-0.0522645\pi\) | |||||||
\(14\) | 7.22125 | − | 51.8831i | 0.137854 | − | 0.990453i | ||||
\(15\) | − | 1.35326i | − | 0.0232941i | ||||||
\(16\) | −22.4109 | − | 59.9479i | −0.350170 | − | 0.936686i | ||||
\(17\) | −54.1508 | + | 31.2640i | −0.772558 | + | 0.446037i | −0.833786 | − | 0.552087i | \(-0.813832\pi\) |
0.0612284 | + | 0.998124i | \(0.480498\pi\) | |||||||
\(18\) | 76.2770 | + | 3.16437i | 0.998815 | + | 0.0414361i | ||||
\(19\) | −34.6779 | + | 60.0639i | −0.418719 | + | 0.725242i | −0.995811 | − | 0.0914368i | \(-0.970854\pi\) |
0.577092 | + | 0.816679i | \(0.304187\pi\) | |||||||
\(20\) | −104.322 | + | 49.1989i | −1.16636 | + | 0.550061i | ||||
\(21\) | −0.168066 | + | 1.73019i | −0.00174643 | + | 0.0179790i | ||||
\(22\) | 87.2219 | + | 55.3005i | 0.845262 | + | 0.535914i | ||||
\(23\) | −12.3839 | − | 7.14987i | −0.112271 | − | 0.0648196i | 0.442813 | − | 0.896614i | \(-0.353981\pi\) |
−0.555084 | + | 0.831794i | \(0.687314\pi\) | |||||||
\(24\) | 0.825526 | + | 1.95684i | 0.00702124 | + | 0.0166432i | ||||
\(25\) | 41.4345 | + | 71.7667i | 0.331476 | + | 0.574134i | ||||
\(26\) | 38.3999 | − | 20.0959i | 0.289648 | − | 0.151582i | ||||
\(27\) | −5.06769 | −0.0361214 | ||||||||
\(28\) | 139.490 | − | 49.9465i | 0.941466 | − | 0.337107i | ||||
\(29\) | −157.182 | −1.00648 | −0.503241 | − | 0.864146i | \(-0.667859\pi\) | ||||
−0.503241 | + | 0.864146i | \(0.667859\pi\) | |||||||
\(30\) | 3.39128 | − | 1.77476i | 0.0206387 | − | 0.0108008i | ||||
\(31\) | 165.570 | + | 286.776i | 0.959266 | + | 1.66150i | 0.724289 | + | 0.689496i | \(0.242168\pi\) |
0.234977 | + | 0.972001i | \(0.424499\pi\) | |||||||
\(32\) | 120.838 | − | 134.782i | 0.667545 | − | 0.744570i | ||||
\(33\) | −2.96804 | − | 1.71360i | −0.0156566 | − | 0.00903937i | ||||
\(34\) | −149.365 | − | 94.7003i | −0.753406 | − | 0.477675i | ||||
\(35\) | −110.527 | − | 243.070i | −0.533784 | − | 1.17389i | ||||
\(36\) | 92.1049 | + | 195.300i | 0.426412 | + | 0.904168i | ||||
\(37\) | −38.0629 | + | 65.9269i | −0.169122 | + | 0.292927i | −0.938111 | − | 0.346334i | \(-0.887426\pi\) |
0.768990 | + | 0.639261i | \(0.220760\pi\) | |||||||
\(38\) | −195.999 | − | 8.13108i | −0.836718 | − | 0.0347114i | ||||
\(39\) | −1.24557 | + | 0.719127i | −0.00511410 | + | 0.00295263i | ||||
\(40\) | −260.108 | − | 196.909i | −1.02817 | − | 0.778349i | ||||
\(41\) | − | 335.509i | − | 1.27799i | −0.769209 | − | 0.638997i | \(-0.779350\pi\) | ||
0.769209 | − | 0.638997i | \(-0.220650\pi\) | |||||||
\(42\) | −4.55628 | + | 1.84792i | −0.0167393 | + | 0.00678905i | ||||
\(43\) | − | 484.545i | − | 1.71843i | −0.511617 | − | 0.859213i | \(-0.670953\pi\) | ||
0.511617 | − | 0.859213i | \(-0.329047\pi\) | |||||||
\(44\) | −24.1946 | + | 291.103i | −0.0828972 | + | 0.997397i | ||||
\(45\) | 337.014 | − | 194.575i | 1.11642 | − | 0.644567i | ||||
\(46\) | 1.67646 | − | 40.4110i | 0.00537349 | − | 0.129528i | ||||
\(47\) | −187.406 | + | 324.597i | −0.581617 | + | 1.00739i | 0.413671 | + | 0.910427i | \(0.364247\pi\) |
−0.995288 | + | 0.0969640i | \(0.969087\pi\) | |||||||
\(48\) | −3.82119 | + | 4.63510i | −0.0114904 | + | 0.0139379i | ||||
\(49\) | 111.125 | + | 324.500i | 0.323979 | + | 0.946064i | ||||
\(50\) | −125.508 | + | 197.955i | −0.354989 | + | 0.559901i | ||||
\(51\) | 5.08266 | + | 2.93448i | 0.0139552 | + | 0.00805704i | ||||
\(52\) | 100.721 | + | 69.8753i | 0.268604 | + | 0.186345i | ||||
\(53\) | 70.8847 | + | 122.776i | 0.183712 | + | 0.318199i | 0.943142 | − | 0.332390i | \(-0.107855\pi\) |
−0.759429 | + | 0.650590i | \(0.774522\pi\) | |||||||
\(54\) | −6.64611 | − | 12.6996i | −0.0167485 | − | 0.0320038i | ||||
\(55\) | 526.438 | 1.29063 | ||||||||
\(56\) | 308.102 | + | 284.058i | 0.735212 | + | 0.677837i | ||||
\(57\) | 6.50983 | 0.0151272 | ||||||||
\(58\) | −206.139 | − | 393.899i | −0.466680 | − | 0.891749i | ||||
\(59\) | −159.945 | − | 277.033i | −0.352933 | − | 0.611298i | 0.633829 | − | 0.773473i | \(-0.281482\pi\) |
−0.986762 | + | 0.162175i | \(0.948149\pi\) | |||||||
\(60\) | 8.89511 | + | 6.17102i | 0.0191392 | + | 0.0132779i | ||||
\(61\) | 213.882 | + | 123.485i | 0.448932 | + | 0.259191i | 0.707379 | − | 0.706835i | \(-0.249877\pi\) |
−0.258447 | + | 0.966025i | \(0.583211\pi\) | |||||||
\(62\) | −501.521 | + | 791.016i | −1.02731 | + | 1.62031i | ||||
\(63\) | −455.049 | + | 206.916i | −0.910012 | + | 0.413793i | ||||
\(64\) | 496.239 | + | 126.060i | 0.969216 | + | 0.246211i | ||||
\(65\) | 110.462 | − | 191.326i | 0.210787 | − | 0.365094i | ||||
\(66\) | 0.401795 | − | 9.68524i | 0.000749356 | − | 0.0180632i | ||||
\(67\) | −178.009 | + | 102.774i | −0.324586 | + | 0.187400i | −0.653435 | − | 0.756983i | \(-0.726673\pi\) |
0.328849 | + | 0.944383i | \(0.393339\pi\) | |||||||
\(68\) | 41.4324 | − | 498.504i | 0.0738886 | − | 0.889008i | ||||
\(69\) | 1.34219i | 0.00234176i | ||||||||
\(70\) | 464.181 | − | 595.759i | 0.792576 | − | 1.01724i | ||||
\(71\) | 82.4401i | 0.137801i | 0.997624 | + | 0.0689003i | \(0.0219490\pi\) | ||||
−0.997624 | + | 0.0689003i | \(0.978051\pi\) | |||||||
\(72\) | −368.631 | + | 486.945i | −0.603383 | + | 0.797043i | ||||
\(73\) | −575.023 | + | 331.990i | −0.921937 | + | 0.532280i | −0.884252 | − | 0.467009i | \(-0.845331\pi\) |
−0.0376842 | + | 0.999290i | \(0.511998\pi\) | |||||||
\(74\) | −215.131 | − | 8.92477i | −0.337953 | − | 0.0140200i | ||||
\(75\) | 3.88910 | − | 6.73613i | 0.00598767 | − | 0.0103709i | ||||
\(76\) | −236.670 | − | 501.838i | −0.357210 | − | 0.757432i | ||||
\(77\) | −673.069 | − | 65.3800i | −0.996147 | − | 0.0967629i | ||||
\(78\) | −3.43565 | − | 2.17828i | −0.00498732 | − | 0.00316207i | ||||
\(79\) | 564.130 | + | 325.700i | 0.803412 | + | 0.463850i | 0.844663 | − | 0.535299i | \(-0.179801\pi\) |
−0.0412508 | + | 0.999149i | \(0.513134\pi\) | |||||||
\(80\) | 152.330 | − | 910.070i | 0.212888 | − | 1.27186i | ||||
\(81\) | −364.143 | − | 630.715i | −0.499511 | − | 0.865178i | ||||
\(82\) | 840.787 | − | 440.010i | 1.13231 | − | 0.592572i | ||||
\(83\) | 790.194 | 1.04500 | 0.522500 | − | 0.852639i | \(-0.324999\pi\) | ||||
0.522500 | + | 0.852639i | \(0.324999\pi\) | |||||||
\(84\) | −10.6063 | − | 8.99458i | −0.0137767 | − | 0.0116832i | ||||
\(85\) | −901.506 | −1.15038 | ||||||||
\(86\) | 1214.27 | − | 635.465i | 1.52254 | − | 0.796790i | ||||
\(87\) | 7.37667 | + | 12.7768i | 0.00909037 | + | 0.0157450i | ||||
\(88\) | −761.236 | + | 321.141i | −0.922137 | + | 0.389020i | ||||
\(89\) | 631.309 | + | 364.487i | 0.751895 | + | 0.434107i | 0.826378 | − | 0.563115i | \(-0.190397\pi\) |
−0.0744832 | + | 0.997222i | \(0.523731\pi\) | |||||||
\(90\) | 929.588 | + | 589.379i | 1.08875 | + | 0.690289i | ||||
\(91\) | −164.991 | + | 230.899i | −0.190064 | + | 0.265986i | ||||
\(92\) | 103.469 | − | 48.7965i | 0.117254 | − | 0.0552977i | ||||
\(93\) | 15.5406 | − | 26.9172i | 0.0173278 | − | 0.0300127i | ||||
\(94\) | −1059.22 | − | 43.9419i | −1.16223 | − | 0.0482156i | ||||
\(95\) | −865.981 | + | 499.974i | −0.935240 | + | 0.539961i | ||||
\(96\) | −16.6269 | − | 3.49713i | −0.0176769 | − | 0.00371796i | ||||
\(97\) | 386.693i | 0.404771i | 0.979306 | + | 0.202385i | \(0.0648694\pi\) | ||||
−0.979306 | + | 0.202385i | \(0.935131\pi\) | |||||||
\(98\) | −667.462 | + | 704.050i | −0.687998 | + | 0.725713i | ||||
\(99\) | − | 985.539i | − | 1.00051i | ||||||
\(100\) | −660.675 | − | 54.9110i | −0.660675 | − | 0.0549110i | ||||
\(101\) | 1133.54 | − | 654.448i | 1.11674 | − | 0.644753i | 0.176176 | − | 0.984359i | \(-0.443627\pi\) |
0.940568 | + | 0.339606i | \(0.110294\pi\) | |||||||
\(102\) | −0.688059 | + | 16.5856i | −0.000667922 | + | 0.0161002i | ||||
\(103\) | −59.8337 | + | 103.635i | −0.0572388 | + | 0.0991405i | −0.893225 | − | 0.449610i | \(-0.851563\pi\) |
0.835986 | + | 0.548750i | \(0.184896\pi\) | |||||||
\(104\) | −43.0159 | + | 344.045i | −0.0405582 | + | 0.324389i | ||||
\(105\) | −14.5712 | + | 20.3918i | −0.0135429 | + | 0.0189527i | ||||
\(106\) | −214.714 | + | 338.654i | −0.196744 | + | 0.310311i | ||||
\(107\) | −672.944 | − | 388.524i | −0.607999 | − | 0.351028i | 0.164183 | − | 0.986430i | \(-0.447501\pi\) |
−0.772182 | + | 0.635401i | \(0.780835\pi\) | |||||||
\(108\) | 23.1092 | − | 33.3103i | 0.0205897 | − | 0.0296786i | ||||
\(109\) | 626.620 | + | 1085.34i | 0.550636 | + | 0.953729i | 0.998229 | + | 0.0594916i | \(0.0189480\pi\) |
−0.447593 | + | 0.894237i | \(0.647719\pi\) | |||||||
\(110\) | 690.406 | + | 1319.25i | 0.598433 | + | 1.14351i | ||||
\(111\) | 7.14527 | 0.00610990 | ||||||||
\(112\) | −307.784 | + | 1144.64i | −0.259669 | + | 0.965698i | ||||
\(113\) | 1151.72 | 0.958799 | 0.479400 | − | 0.877597i | \(-0.340854\pi\) | ||||
0.479400 | + | 0.877597i | \(0.340854\pi\) | |||||||
\(114\) | 8.53744 | + | 16.3137i | 0.00701407 | + | 0.0134028i | ||||
\(115\) | −103.084 | − | 178.547i | −0.0835885 | − | 0.144779i | ||||
\(116\) | 716.767 | − | 1033.17i | 0.573708 | − | 0.826962i | ||||
\(117\) | −358.180 | − | 206.795i | −0.283024 | − | 0.163404i | ||||
\(118\) | 484.482 | − | 764.142i | 0.377968 | − | 0.596143i | ||||
\(119\) | 1152.61 | + | 111.961i | 0.887894 | + | 0.0862475i | ||||
\(120\) | −3.79894 | + | 30.3843i | −0.00288995 | + | 0.0231141i | ||||
\(121\) | 1.11324 | − | 1.92819i | 0.000836394 | − | 0.00144868i | ||||
\(122\) | −28.9541 | + | 697.937i | −0.0214867 | + | 0.517936i | ||||
\(123\) | −27.2723 | + | 15.7457i | −0.0199924 | + | 0.0115426i | ||||
\(124\) | −2640.02 | − | 219.421i | −1.91194 | − | 0.158908i | ||||
\(125\) | − | 607.429i | − | 0.434641i | ||||||
\(126\) | −1115.31 | − | 868.990i | −0.788572 | − | 0.614411i | ||||
\(127\) | 146.370i | 0.102270i | 0.998692 | + | 0.0511348i | \(0.0162838\pi\) | ||||
−0.998692 | + | 0.0511348i | \(0.983716\pi\) | |||||||
\(128\) | 334.895 | + | 1408.90i | 0.231256 | + | 0.972893i | ||||
\(129\) | −39.3869 | + | 22.7400i | −0.0268823 | + | 0.0155205i | ||||
\(130\) | 624.332 | + | 25.9005i | 0.421212 | + | 0.0174741i | ||||
\(131\) | 712.329 | − | 1233.79i | 0.475088 | − | 0.822876i | −0.524505 | − | 0.851407i | \(-0.675750\pi\) |
0.999593 | + | 0.0285313i | \(0.00908303\pi\) | |||||||
\(132\) | 24.7982 | − | 11.6950i | 0.0163516 | − | 0.00771150i | ||||
\(133\) | 1169.28 | − | 531.686i | 0.762327 | − | 0.346639i | ||||
\(134\) | −491.004 | − | 311.307i | −0.316539 | − | 0.200693i | ||||
\(135\) | −63.2755 | − | 36.5321i | −0.0403399 | − | 0.0232903i | ||||
\(136\) | 1303.59 | − | 549.943i | 0.821926 | − | 0.346744i | ||||
\(137\) | −684.509 | − | 1185.60i | −0.426872 | − | 0.739365i | 0.569721 | − | 0.821838i | \(-0.307051\pi\) |
−0.996593 | + | 0.0824737i | \(0.973718\pi\) | |||||||
\(138\) | −3.36354 | + | 1.76024i | −0.00207481 | + | 0.00108581i | ||||
\(139\) | −1844.54 | −1.12556 | −0.562778 | − | 0.826608i | \(-0.690267\pi\) | ||||
−0.562778 | + | 0.826608i | \(0.690267\pi\) | |||||||
\(140\) | 2101.73 | + | 381.922i | 1.26878 | + | 0.230559i | ||||
\(141\) | 35.1804 | 0.0210122 | ||||||||
\(142\) | −206.595 | + | 108.117i | −0.122092 | + | 0.0638945i | ||||
\(143\) | −279.750 | − | 484.542i | −0.163594 | − | 0.283353i | ||||
\(144\) | −1703.73 | − | 285.177i | −0.985957 | − | 0.165033i | ||||
\(145\) | −1962.59 | − | 1133.10i | −1.12403 | − | 0.648957i | ||||
\(146\) | −1586.09 | − | 1005.62i | −0.899081 | − | 0.570037i | ||||
\(147\) | 21.1623 | − | 24.2619i | 0.0118737 | − | 0.0136129i | ||||
\(148\) | −259.772 | − | 550.824i | −0.144278 | − | 0.305929i | ||||
\(149\) | −731.393 | + | 1266.81i | −0.402135 | + | 0.696518i | −0.993983 | − | 0.109531i | \(-0.965065\pi\) |
0.591849 | + | 0.806049i | \(0.298398\pi\) | |||||||
\(150\) | 21.9812 | + | 0.911895i | 0.0119650 | + | 0.000496373i | ||||
\(151\) | 2067.95 | − | 1193.93i | 1.11448 | − | 0.643447i | 0.174497 | − | 0.984658i | \(-0.444170\pi\) |
0.939987 | + | 0.341210i | \(0.110837\pi\) | |||||||
\(152\) | 947.223 | − | 1251.24i | 0.505460 | − | 0.667691i | ||||
\(153\) | 1687.70i | 0.891782i | ||||||||
\(154\) | −718.866 | − | 1772.46i | −0.376155 | − | 0.927459i | ||||
\(155\) | 4774.27i | 2.47405i | ||||||||
\(156\) | 0.953021 | − | 11.4665i | 0.000489120 | − | 0.00588497i | ||||
\(157\) | −1916.04 | + | 1106.23i | −0.973993 | + | 0.562335i | −0.900451 | − | 0.434957i | \(-0.856764\pi\) |
−0.0735417 | + | 0.997292i | \(0.523430\pi\) | |||||||
\(158\) | −76.3684 | + | 1840.86i | −0.0384528 | + | 0.926903i | ||||
\(159\) | 6.65333 | − | 11.5239i | 0.00331851 | − | 0.00574783i | ||||
\(160\) | 2480.41 | − | 811.787i | 1.22559 | − | 0.401109i | ||||
\(161\) | 109.623 | + | 241.082i | 0.0536614 | + | 0.118012i | ||||
\(162\) | 1103.01 | − | 1739.71i | 0.534943 | − | 0.843730i | ||||
\(163\) | 886.780 | + | 511.982i | 0.426122 | + | 0.246022i | 0.697693 | − | 0.716397i | \(-0.254210\pi\) |
−0.271571 | + | 0.962418i | \(0.587543\pi\) | |||||||
\(164\) | 2205.33 | + | 1529.96i | 1.05005 | + | 0.728473i | ||||
\(165\) | −24.7061 | − | 42.7922i | −0.0116568 | − | 0.0201901i | ||||
\(166\) | 1036.31 | + | 1980.23i | 0.484539 | + | 0.925876i | ||||
\(167\) | −3232.62 | −1.49789 | −0.748945 | − | 0.662632i | \(-0.769439\pi\) | ||||
−0.748945 | + | 0.662632i | \(0.769439\pi\) | |||||||
\(168\) | 8.63060 | − | 38.3756i | 0.00396348 | − | 0.0176234i | ||||
\(169\) | 1962.20 | 0.893127 | ||||||||
\(170\) | −1182.30 | − | 2259.18i | −0.533400 | − | 1.01924i | ||||
\(171\) | 935.998 | + | 1621.20i | 0.418582 | + | 0.725006i | ||||
\(172\) | 3184.95 | + | 2209.57i | 1.41192 | + | 0.979526i | ||||
\(173\) | −43.1092 | − | 24.8891i | −0.0189453 | − | 0.0109381i | 0.490497 | − | 0.871443i | \(-0.336815\pi\) |
−0.509443 | + | 0.860505i | \(0.670148\pi\) | |||||||
\(174\) | −22.3443 | + | 35.2423i | −0.00973518 | + | 0.0153547i | ||||
\(175\) | 148.383 | − | 1527.57i | 0.0640956 | − | 0.659847i | ||||
\(176\) | −1803.12 | − | 1486.49i | −0.772245 | − | 0.636641i | ||||
\(177\) | −15.0126 | + | 26.0027i | −0.00637525 | + | 0.0110423i | ||||
\(178\) | −85.4627 | + | 2060.08i | −0.0359871 | + | 0.867468i | ||||
\(179\) | 2521.36 | − | 1455.71i | 1.05282 | − | 0.607847i | 0.129384 | − | 0.991595i | \(-0.458700\pi\) |
0.923438 | + | 0.383748i | \(0.125367\pi\) | |||||||
\(180\) | −257.860 | + | 3102.50i | −0.106776 | + | 1.28470i | ||||
\(181\) | − | 1071.48i | − | 0.440015i | −0.975498 | − | 0.220008i | \(-0.929392\pi\) | ||
0.975498 | − | 0.220008i | \(-0.0706082\pi\) | |||||||
\(182\) | −795.014 | − | 110.653i | −0.323793 | − | 0.0450666i | ||||
\(183\) | − | 23.1810i | − | 0.00936386i | ||||||
\(184\) | 257.980 | + | 195.298i | 0.103362 | + | 0.0782476i | ||||
\(185\) | −950.512 | + | 548.778i | −0.377746 | + | 0.218092i | ||||
\(186\) | 87.8355 | + | 3.64388i | 0.0346259 | + | 0.00143646i | ||||
\(187\) | −1141.55 | + | 1977.23i | −0.446409 | + | 0.773204i | ||||
\(188\) | −1279.01 | − | 2712.03i | −0.496179 | − | 1.05210i | ||||
\(189\) | 76.3629 | + | 54.5660i | 0.0293893 | + | 0.0210005i | ||||
\(190\) | −2388.64 | − | 1514.45i | −0.912055 | − | 0.578262i | ||||
\(191\) | −2656.30 | − | 1533.62i | −1.00630 | − | 0.580987i | −0.0961935 | − | 0.995363i | \(-0.530667\pi\) |
−0.910106 | + | 0.414375i | \(0.864000\pi\) | |||||||
\(192\) | −13.0419 | − | 46.2535i | −0.00490217 | − | 0.0173857i | ||||
\(193\) | 540.113 | + | 935.502i | 0.201441 | + | 0.348906i | 0.948993 | − | 0.315297i | \(-0.102104\pi\) |
−0.747552 | + | 0.664204i | \(0.768771\pi\) | |||||||
\(194\) | −969.055 | + | 507.136i | −0.358629 | + | 0.187682i | ||||
\(195\) | −20.7363 | −0.00761516 | ||||||||
\(196\) | −2639.71 | − | 749.322i | −0.961992 | − | 0.273076i | ||||
\(197\) | −1207.76 | −0.436798 | −0.218399 | − | 0.975860i | \(-0.570083\pi\) | ||||
−0.218399 | + | 0.975860i | \(0.570083\pi\) | |||||||
\(198\) | 2469.76 | − | 1292.50i | 0.886457 | − | 0.463910i | ||||
\(199\) | −1028.47 | − | 1781.36i | −0.366364 | − | 0.634561i | 0.622630 | − | 0.782516i | \(-0.286064\pi\) |
−0.988994 | + | 0.147955i | \(0.952731\pi\) | |||||||
\(200\) | −728.847 | − | 1727.67i | −0.257686 | − | 0.610822i | ||||
\(201\) | 16.7082 | + | 9.64647i | 0.00586320 | + | 0.00338512i | ||||
\(202\) | 3126.65 | + | 1982.36i | 1.08906 | + | 0.690487i | ||||
\(203\) | 2368.51 | + | 1692.45i | 0.818902 | + | 0.585156i | ||||
\(204\) | −42.4661 | + | 20.0273i | −0.0145746 | + | 0.00687348i | ||||
\(205\) | 2418.63 | − | 4189.19i | 0.824022 | − | 1.42725i | ||||
\(206\) | −338.180 | − | 14.0295i | −0.114379 | − | 0.00474505i | ||||
\(207\) | −334.257 | + | 192.983i | −0.112234 | + | 0.0647985i | ||||
\(208\) | −918.592 | + | 343.406i | −0.306216 | + | 0.114476i | ||||
\(209\) | 2532.41i | 0.838138i | ||||||||
\(210\) | −70.2114 | − | 9.77225i | −0.0230717 | − | 0.00321119i | ||||
\(211\) | − | 762.431i | − | 0.248758i | −0.992235 | − | 0.124379i | \(-0.960306\pi\) | ||
0.992235 | − | 0.124379i | \(-0.0396938\pi\) | |||||||
\(212\) | −1130.26 | − | 93.9397i | −0.366162 | − | 0.0304330i | ||||
\(213\) | 6.70125 | − | 3.86897i | 0.00215569 | − | 0.00124459i | ||||
\(214\) | 91.0989 | − | 2195.94i | 0.0291000 | − | 0.701454i | ||||
\(215\) | 3493.00 | − | 6050.06i | 1.10800 | − | 1.91912i | ||||
\(216\) | 113.783 | + | 14.2262i | 0.0358423 | + | 0.00448136i | ||||
\(217\) | 592.932 | − | 6104.07i | 0.185488 | − | 1.90954i | ||||
\(218\) | −1898.07 | + | 2993.70i | −0.589694 | + | 0.930086i | ||||
\(219\) | 53.9725 | + | 31.1610i | 0.0166535 | + | 0.00961492i | ||||
\(220\) | −2400.61 | + | 3460.32i | −0.735678 | + | 1.06043i | ||||
\(221\) | 479.063 | + | 829.762i | 0.145816 | + | 0.252560i | ||||
\(222\) | 9.37080 | + | 17.9061i | 0.00283300 | + | 0.00541341i | ||||
\(223\) | −1016.07 | −0.305118 | −0.152559 | − | 0.988294i | \(-0.548751\pi\) | ||||
−0.152559 | + | 0.988294i | \(0.548751\pi\) | |||||||
\(224\) | −3272.12 | + | 729.847i | −0.976016 | + | 0.217701i | ||||
\(225\) | 2236.74 | 0.662736 | ||||||||
\(226\) | 1510.44 | + | 2886.20i | 0.444570 | + | 0.849502i | ||||
\(227\) | 569.879 | + | 987.060i | 0.166627 | + | 0.288606i | 0.937232 | − | 0.348707i | \(-0.113379\pi\) |
−0.770605 | + | 0.637313i | \(0.780046\pi\) | |||||||
\(228\) | −29.6855 | + | 42.7897i | −0.00862268 | + | 0.0124290i | ||||
\(229\) | 2960.58 | + | 1709.29i | 0.854326 | + | 0.493245i | 0.862108 | − | 0.506724i | \(-0.169144\pi\) |
−0.00778216 | + | 0.999970i | \(0.502477\pi\) | |||||||
\(230\) | 312.249 | − | 492.489i | 0.0895177 | − | 0.141190i | ||||
\(231\) | 26.2731 | + | 57.7797i | 0.00748330 | + | 0.0164572i | ||||
\(232\) | 3529.15 | + | 441.249i | 0.998707 | + | 0.124868i | ||||
\(233\) | −1338.11 | + | 2317.67i | −0.376234 | + | 0.651656i | −0.990511 | − | 0.137435i | \(-0.956114\pi\) |
0.614277 | + | 0.789090i | \(0.289448\pi\) | |||||||
\(234\) | 48.4882 | − | 1168.81i | 0.0135460 | − | 0.326527i | ||||
\(235\) | −4679.93 | + | 2701.96i | −1.29909 | + | 0.750028i | ||||
\(236\) | 2550.32 | + | 211.966i | 0.703440 | + | 0.0584654i | ||||
\(237\) | − | 61.1414i | − | 0.0167576i | ||||||
\(238\) | 1231.03 | + | 3035.27i | 0.335278 | + | 0.826670i | ||||
\(239\) | 747.415i | 0.202285i | 0.994872 | + | 0.101143i | \(0.0322499\pi\) | ||||
−0.994872 | + | 0.101143i | \(0.967750\pi\) | |||||||
\(240\) | −81.1252 | + | 30.3278i | −0.0218192 | + | 0.00815689i | ||||
\(241\) | 1485.20 | − | 857.481i | 0.396972 | − | 0.229192i | −0.288205 | − | 0.957569i | \(-0.593058\pi\) |
0.685176 | + | 0.728377i | \(0.259725\pi\) | |||||||
\(242\) | 6.29203 | + | 0.261026i | 0.00167135 | + | 6.93364e-5i | ||||
\(243\) | −102.593 | + | 177.696i | −0.0270837 | + | 0.0469103i | ||||
\(244\) | −1787.00 | + | 842.763i | −0.468857 | + | 0.221116i | ||||
\(245\) | −951.756 | + | 4852.81i | −0.248186 | + | 1.26545i | ||||
\(246\) | −75.2255 | − | 47.6946i | −0.0194968 | − | 0.0123614i | ||||
\(247\) | 920.370 | + | 531.376i | 0.237092 | + | 0.136885i | ||||
\(248\) | −2912.43 | − | 6903.65i | −0.745723 | − | 1.76767i | ||||
\(249\) | −37.0843 | − | 64.2320i | −0.00943825 | − | 0.0163475i | ||||
\(250\) | 1522.22 | − | 796.624i | 0.385095 | − | 0.201532i | ||||
\(251\) | −1604.07 | −0.403379 | −0.201690 | − | 0.979449i | \(-0.564643\pi\) | ||||
−0.201690 | + | 0.979449i | \(0.564643\pi\) | |||||||
\(252\) | 714.993 | − | 3934.63i | 0.178731 | − | 0.983566i | ||||
\(253\) | −522.132 | −0.129748 | ||||||||
\(254\) | −366.804 | + | 191.960i | −0.0906115 | + | 0.0474198i | ||||
\(255\) | 42.3083 | + | 73.2802i | 0.0103900 | + | 0.0179960i | ||||
\(256\) | −3091.50 | + | 2686.97i | −0.754761 | + | 0.655999i | ||||
\(257\) | −4485.57 | − | 2589.74i | −1.08872 | − | 0.628575i | −0.155487 | − | 0.987838i | \(-0.549695\pi\) |
−0.933236 | + | 0.359263i | \(0.883028\pi\) | |||||||
\(258\) | −108.641 | − | 68.8808i | −0.0262159 | − | 0.0166214i | ||||
\(259\) | 1283.42 | − | 583.585i | 0.307906 | − | 0.140009i | ||||
\(260\) | 753.884 | + | 1598.54i | 0.179823 | + | 0.381298i | ||||
\(261\) | −2121.27 | + | 3674.14i | −0.503077 | + | 0.871355i | ||||
\(262\) | 4026.08 | + | 167.023i | 0.949359 | + | 0.0393844i | ||||
\(263\) | 830.165 | − | 479.296i | 0.194639 | − | 0.112375i | −0.399513 | − | 0.916727i | \(-0.630821\pi\) |
0.594153 | + | 0.804352i | \(0.297487\pi\) | |||||||
\(264\) | 61.8297 | + | 46.8067i | 0.0144142 | + | 0.0109120i | ||||
\(265\) | 2043.98i | 0.473815i | ||||||||
\(266\) | 2865.88 | + | 2232.93i | 0.660596 | + | 0.514699i | ||||
\(267\) | − | 68.4224i | − | 0.0156831i | ||||||
\(268\) | 136.200 | − | 1638.73i | 0.0310439 | − | 0.373512i | ||||
\(269\) | 1986.56 | − | 1146.94i | 0.450270 | − | 0.259963i | −0.257674 | − | 0.966232i | \(-0.582956\pi\) |
0.707944 | + | 0.706268i | \(0.249623\pi\) | |||||||
\(270\) | 8.56584 | − | 206.479i | 0.00193074 | − | 0.0465405i | ||||
\(271\) | −3136.93 | + | 5433.33i | −0.703156 | + | 1.21790i | 0.264197 | + | 0.964469i | \(0.414893\pi\) |
−0.967353 | + | 0.253433i | \(0.918440\pi\) | |||||||
\(272\) | 3087.78 | + | 2545.57i | 0.688323 | + | 0.567456i | ||||
\(273\) | 26.5121 | + | 2.57531i | 0.00587759 | + | 0.000570933i | ||||
\(274\) | 2073.42 | − | 3270.26i | 0.457152 | − | 0.721035i | ||||
\(275\) | 2620.45 | + | 1512.91i | 0.574614 | + | 0.331753i | ||||
\(276\) | −8.82235 | − | 6.12054i | −0.00192407 | − | 0.00133483i | ||||
\(277\) | −3630.91 | − | 6288.92i | −0.787582 | − | 1.36413i | −0.927445 | − | 0.373961i | \(-0.878000\pi\) |
0.139863 | − | 0.990171i | \(-0.455334\pi\) | |||||||
\(278\) | −2419.06 | − | 4622.43i | −0.521891 | − | 0.997249i | ||||
\(279\) | 8937.86 | 1.91791 | ||||||||
\(280\) | 1799.26 | + | 5767.83i | 0.384022 | + | 1.23105i | ||||
\(281\) | −3850.59 | −0.817463 | −0.408732 | − | 0.912655i | \(-0.634029\pi\) | ||||
−0.408732 | + | 0.912655i | \(0.634029\pi\) | |||||||
\(282\) | 46.1380 | + | 88.1623i | 0.00974283 | + | 0.0186170i | ||||
\(283\) | −2470.76 | − | 4279.48i | −0.518980 | − | 0.898899i | −0.999757 | − | 0.0220565i | \(-0.992979\pi\) |
0.480777 | − | 0.876843i | \(-0.340355\pi\) | |||||||
\(284\) | −541.886 | − | 375.935i | −0.113222 | − | 0.0785481i | ||||
\(285\) | 81.2822 | + | 46.9283i | 0.0168938 | + | 0.00975366i | ||||
\(286\) | 847.380 | − | 1336.52i | 0.175198 | − | 0.276328i | ||||
\(287\) | −3612.57 | + | 5055.65i | −0.743009 | + | 1.03981i | ||||
\(288\) | −1519.74 | − | 4643.56i | −0.310943 | − | 0.950085i | ||||
\(289\) | −501.631 | + | 868.850i | −0.102103 | + | 0.176847i | ||||
\(290\) | 265.683 | − | 6404.27i | 0.0537980 | − | 1.29680i | ||||
\(291\) | 31.4329 | − | 18.1478i | 0.00633206 | − | 0.00365582i | ||||
\(292\) | 439.968 | − | 5293.58i | 0.0881753 | − | 1.06090i | ||||
\(293\) | − | 6898.69i | − | 1.37551i | −0.725941 | − | 0.687757i | \(-0.758595\pi\) | ||
0.725941 | − | 0.687757i | \(-0.241405\pi\) | |||||||
\(294\) | 88.5541 | + | 21.2140i | 0.0175666 | + | 0.00420824i | ||||
\(295\) | − | 4612.06i | − | 0.910253i | ||||||
\(296\) | 1039.68 | − | 1373.38i | 0.204157 | − | 0.269682i | ||||
\(297\) | −160.248 | + | 92.5192i | −0.0313082 | + | 0.0180758i | ||||
\(298\) | −4133.83 | − | 171.493i | −0.803578 | − | 0.0333366i | ||||
\(299\) | −109.559 | + | 189.761i | −0.0211904 | + | 0.0367029i | ||||
\(300\) | 26.5424 | + | 56.2808i | 0.00510809 | + | 0.0108313i | ||||
\(301\) | −5217.30 | + | 7301.40i | −0.999071 | + | 1.39816i | ||||
\(302\) | 5704.03 | + | 3616.48i | 1.08686 | + | 0.689089i | ||||
\(303\) | −106.395 | − | 61.4274i | −0.0201725 | − | 0.0116466i | ||||
\(304\) | 4377.87 | + | 732.782i | 0.825947 | + | 0.138250i | ||||
\(305\) | 1780.37 | + | 3083.69i | 0.334241 | + | 0.578922i | ||||
\(306\) | −4229.39 | + | 2213.37i | −0.790124 | + | 0.413496i | ||||
\(307\) | 7512.51 | 1.39662 | 0.698308 | − | 0.715797i | \(-0.253936\pi\) | ||||
0.698308 | + | 0.715797i | \(0.253936\pi\) | |||||||
\(308\) | 3499.01 | − | 4126.00i | 0.647321 | − | 0.763314i | ||||
\(309\) | 11.2322 | 0.00206788 | ||||||||
\(310\) | −11964.3 | + | 6261.30i | −2.19203 | + | 1.14715i | ||||
\(311\) | −383.616 | − | 664.443i | −0.0699450 | − | 0.121148i | 0.828932 | − | 0.559350i | \(-0.188949\pi\) |
−0.898877 | + | 0.438201i | \(0.855616\pi\) | |||||||
\(312\) | 29.9849 | − | 12.6497i | 0.00544091 | − | 0.00229534i | ||||
\(313\) | 2460.41 | + | 1420.52i | 0.444315 | + | 0.256525i | 0.705426 | − | 0.708783i | \(-0.250756\pi\) |
−0.261111 | + | 0.965309i | \(0.584089\pi\) | |||||||
\(314\) | −5285.04 | − | 3350.83i | −0.949847 | − | 0.602223i | ||||
\(315\) | −7173.39 | − | 696.803i | −1.28310 | − | 0.124636i | ||||
\(316\) | −4713.35 | + | 2222.84i | −0.839071 | + | 0.395711i | ||||
\(317\) | 2859.85 | − | 4953.41i | 0.506704 | − | 0.877638i | −0.493266 | − | 0.869879i | \(-0.664197\pi\) |
0.999970 | − | 0.00775892i | \(-0.00246977\pi\) | |||||||
\(318\) | 37.6046 | + | 1.56004i | 0.00663132 | + | 0.000275102i | ||||
\(319\) | −4970.34 | + | 2869.63i | −0.872368 | + | 0.503662i | ||||
\(320\) | 5287.32 | + | 5151.29i | 0.923658 | + | 0.899894i | ||||
\(321\) | 72.9348i | 0.0126817i | ||||||||
\(322\) | −460.385 | + | 590.886i | −0.0796778 | + | 0.102263i | ||||
\(323\) | − | 4336.67i | − | 0.747056i | ||||||
\(324\) | 5806.27 | + | 482.580i | 0.995588 | + | 0.0827468i | ||||
\(325\) | 1099.69 | − | 634.909i | 0.187693 | − | 0.108364i | ||||
\(326\) | −120.047 | + | 2893.72i | −0.0203950 | + | 0.491621i | ||||
\(327\) | 58.8154 | − | 101.871i | 0.00994648 | − | 0.0172278i | ||||
\(328\) | −941.857 | + | 7533.06i | −0.158553 | + | 1.26812i | ||||
\(329\) | 6319.03 | − | 2873.34i | 1.05890 | − | 0.481496i | ||||
\(330\) | 74.8361 | − | 118.034i | 0.0124836 | − | 0.0196896i | ||||
\(331\) | 1667.18 | + | 962.546i | 0.276847 | + | 0.159838i | 0.631995 | − | 0.774972i | \(-0.282236\pi\) |
−0.355148 | + | 0.934810i | \(0.615570\pi\) | |||||||
\(332\) | −3603.37 | + | 5194.01i | −0.595664 | + | 0.858610i | ||||
\(333\) | 1027.36 | + | 1779.44i | 0.169066 | + | 0.292832i | ||||
\(334\) | −4239.48 | − | 8100.96i | −0.694533 | − | 1.32714i | ||||
\(335\) | −2963.51 | −0.483325 | ||||||||
\(336\) | 107.488 | − | 28.7000i | 0.0174522 | − | 0.00465986i | ||||
\(337\) | 4006.13 | 0.647561 | 0.323780 | − | 0.946132i | \(-0.395046\pi\) | ||||
0.323780 | + | 0.946132i | \(0.395046\pi\) | |||||||
\(338\) | 2573.36 | + | 4917.28i | 0.414120 | + | 0.791316i | ||||
\(339\) | −54.0508 | − | 93.6188i | −0.00865970 | − | 0.0149990i | ||||
\(340\) | 4110.96 | − | 5925.68i | 0.655730 | − | 0.945191i | ||||
\(341\) | 10471.1 | + | 6045.52i | 1.66289 | + | 0.960068i | ||||
\(342\) | −2835.19 | + | 4471.76i | −0.448274 | + | 0.707032i | ||||
\(343\) | 1819.54 | − | 6086.29i | 0.286431 | − | 0.958101i | ||||
\(344\) | −1360.24 | + | 10879.3i | −0.213195 | + | 1.70515i | ||||
\(345\) | −9.67565 | + | 16.7587i | −0.00150991 | + | 0.00261524i | ||||
\(346\) | 5.83585 | − | 140.673i | 0.000906756 | − | 0.0218573i | ||||
\(347\) | 1679.92 | − | 969.900i | 0.259892 | − | 0.150049i | −0.364393 | − | 0.931245i | \(-0.618724\pi\) |
0.624285 | + | 0.781196i | \(0.285390\pi\) | |||||||
\(348\) | −117.621 | − | 9.77590i | −0.0181183 | − | 0.00150587i | ||||
\(349\) | − | 1677.48i | − | 0.257288i | −0.991691 | − | 0.128644i | \(-0.958938\pi\) | ||
0.991691 | − | 0.128644i | \(-0.0410624\pi\) | |||||||
\(350\) | 4022.69 | − | 1631.51i | 0.614348 | − | 0.249165i | ||||
\(351\) | 77.6531i | 0.0118086i | ||||||||
\(352\) | 1360.43 | − | 6468.11i | 0.205998 | − | 0.979407i | ||||
\(353\) | 2078.17 | − | 1199.83i | 0.313342 | − | 0.180908i | −0.335079 | − | 0.942190i | \(-0.608763\pi\) |
0.648421 | + | 0.761282i | \(0.275430\pi\) | |||||||
\(354\) | −84.8514 | − | 3.52008i | −0.0127395 | − | 0.000528503i | ||||
\(355\) | −594.297 | + | 1029.35i | −0.0888507 | + | 0.153894i | ||||
\(356\) | −5274.64 | + | 2487.55i | −0.785268 | + | 0.370337i | ||||
\(357\) | −44.9918 | − | 98.9457i | −0.00667008 | − | 0.0146688i | ||||
\(358\) | 6954.68 | + | 4409.42i | 1.02672 | + | 0.650964i | ||||
\(359\) | 1299.08 | + | 750.025i | 0.190983 | + | 0.110264i | 0.592443 | − | 0.805613i | \(-0.298164\pi\) |
−0.401460 | + | 0.915877i | \(0.631497\pi\) | |||||||
\(360\) | −8113.06 | + | 3422.63i | −1.18777 | + | 0.501080i | ||||
\(361\) | 1024.39 | + | 1774.29i | 0.149349 | + | 0.258680i | ||||
\(362\) | 2685.14 | − | 1405.22i | 0.389856 | − | 0.204024i | ||||
\(363\) | −0.208981 | −3.02166e−5 | ||||||||
\(364\) | −765.339 | − | 2137.42i | −0.110205 | − | 0.307779i | ||||
\(365\) | −9573.04 | −1.37281 | ||||||||
\(366\) | 58.0916 | − | 30.4011i | 0.00829643 | − | 0.00434178i | ||||
\(367\) | 4603.51 | + | 7973.52i | 0.654772 | + | 1.13410i | 0.981951 | + | 0.189136i | \(0.0605687\pi\) |
−0.327179 | + | 0.944962i | \(0.606098\pi\) | |||||||
\(368\) | −151.085 | + | 902.626i | −0.0214017 | + | 0.127860i | ||||
\(369\) | −7842.55 | − | 4527.90i | −1.10641 | − | 0.638788i | ||||
\(370\) | −2621.81 | − | 1662.28i | −0.368382 | − | 0.233562i | ||||
\(371\) | 253.849 | − | 2613.30i | 0.0355234 | − | 0.365704i | ||||
\(372\) | 106.062 | + | 224.895i | 0.0147824 | + | 0.0313448i | ||||
\(373\) | 218.738 | − | 378.866i | 0.0303642 | − | 0.0525923i | −0.850444 | − | 0.526066i | \(-0.823667\pi\) |
0.880808 | + | 0.473473i | \(0.157000\pi\) | |||||||
\(374\) | −6452.05 | − | 267.665i | −0.892052 | − | 0.0370070i | ||||
\(375\) | −49.3757 | + | 28.5071i | −0.00679934 | + | 0.00392560i | ||||
\(376\) | 5118.98 | − | 6761.96i | 0.702105 | − | 0.927450i | ||||
\(377\) | 2408.53i | 0.329033i | ||||||||
\(378\) | −36.5951 | + | 262.927i | −0.00497949 | + | 0.0357765i | ||||
\(379\) | − | 8880.19i | − | 1.20355i | −0.798667 | − | 0.601774i | \(-0.794461\pi\) | ||
0.798667 | − | 0.601774i | \(-0.205539\pi\) | |||||||
\(380\) | 662.589 | − | 7972.10i | 0.0894477 | − | 1.07621i | ||||
\(381\) | 11.8979 | − | 6.86925i | 0.00159986 | − | 0.000923680i | ||||
\(382\) | 359.593 | − | 8667.99i | 0.0481634 | − | 1.16098i | ||||
\(383\) | −3177.82 | + | 5504.15i | −0.423967 | + | 0.734332i | −0.996323 | − | 0.0856729i | \(-0.972696\pi\) |
0.572357 | + | 0.820005i | \(0.306029\pi\) | |||||||
\(384\) | 98.8075 | − | 93.3430i | 0.0131309 | − | 0.0124047i | ||||
\(385\) | −7932.67 | − | 5668.38i | −1.05009 | − | 0.750357i | ||||
\(386\) | −1636.03 | + | 2580.41i | −0.215730 | + | 0.340257i | ||||
\(387\) | −11326.3 | − | 6539.22i | −1.48772 | − | 0.858933i | ||||
\(388\) | −2541.77 | − | 1763.36i | −0.332574 | − | 0.230725i | ||||
\(389\) | 1433.01 | + | 2482.05i | 0.186778 | + | 0.323509i | 0.944174 | − | 0.329446i | \(-0.106862\pi\) |
−0.757396 | + | 0.652956i | \(0.773529\pi\) | |||||||
\(390\) | −27.1950 | − | 51.9652i | −0.00353095 | − | 0.00674707i | ||||
\(391\) | 894.133 | 0.115648 | ||||||||
\(392\) | −1584.09 | − | 7597.83i | −0.204103 | − | 0.978949i | ||||
\(393\) | −133.720 | −0.0171636 | ||||||||
\(394\) | −1583.94 | − | 3026.64i | −0.202532 | − | 0.387005i | ||||
\(395\) | 4695.84 | + | 8133.43i | 0.598160 | + | 1.03604i | ||||
\(396\) | 6478.03 | + | 4494.16i | 0.822054 | + | 0.570303i | ||||
\(397\) | 4872.27 | + | 2813.01i | 0.615951 | + | 0.355619i | 0.775291 | − | 0.631604i | \(-0.217603\pi\) |
−0.159340 | + | 0.987224i | \(0.550937\pi\) | |||||||
\(398\) | 3115.30 | − | 4913.55i | 0.392351 | − | 0.618830i | ||||
\(399\) | −98.0940 | − | 70.0942i | −0.0123079 | − | 0.00879473i | ||||
\(400\) | 3373.68 | − | 4092.27i | 0.421710 | − | 0.511534i | ||||
\(401\) | 1959.77 | − | 3394.43i | 0.244056 | − | 0.422718i | −0.717810 | − | 0.696239i | \(-0.754855\pi\) |
0.961866 | + | 0.273522i | \(0.0881886\pi\) | |||||||
\(402\) | −2.26185 | + | 54.5218i | −0.000280624 | + | 0.00676442i | ||||
\(403\) | 4394.31 | − | 2537.06i | 0.543167 | − | 0.313598i | ||||
\(404\) | −867.305 | + | 10435.2i | −0.106807 | + | 1.28507i | ||||
\(405\) | − | 10500.2i | − | 1.28829i | ||||||
\(406\) | −1135.05 | + | 8155.09i | −0.138748 | + | 0.996873i | ||||
\(407\) | 2779.61i | 0.338526i | ||||||||
\(408\) | −105.881 | − | 80.1550i | −0.0128478 | − | 0.00972613i | ||||
\(409\) | −9123.48 | + | 5267.45i | −1.10300 | + | 0.636818i | −0.937008 | − | 0.349309i | \(-0.886416\pi\) |
−0.165993 | + | 0.986127i | \(0.553083\pi\) | |||||||
\(410\) | 13670.1 | + | 567.107i | 1.64663 | + | 0.0683107i | ||||
\(411\) | −64.2489 | + | 111.282i | −0.00771087 | + | 0.0133556i | ||||
\(412\) | −408.354 | − | 865.879i | −0.0488305 | − | 0.103541i | ||||
\(413\) | −572.787 | + | 5896.69i | −0.0682446 | + | 0.702559i | ||||
\(414\) | −921.985 | − | 584.558i | −0.109452 | − | 0.0693948i | ||||
\(415\) | 9866.41 | + | 5696.37i | 1.16704 | + | 0.673793i | ||||
\(416\) | −2065.28 | − | 1851.63i | −0.243410 | − | 0.218230i | ||||
\(417\) | 86.5657 | + | 149.936i | 0.0101658 | + | 0.0176077i | ||||
\(418\) | −6346.24 | + | 3321.18i | −0.742595 | + | 0.388623i | ||||
\(419\) | −2243.25 | −0.261551 | −0.130776 | − | 0.991412i | \(-0.541747\pi\) | ||||
−0.130776 | + | 0.991412i | \(0.541747\pi\) | |||||||
\(420\) | −67.5907 | − | 188.766i | −0.00785259 | − | 0.0219306i | ||||
\(421\) | −14402.2 | −1.66727 | −0.833635 | − | 0.552316i | \(-0.813744\pi\) | ||||
−0.833635 | + | 0.552316i | \(0.813744\pi\) | |||||||
\(422\) | 1910.65 | − | 999.903i | 0.220401 | − | 0.115342i | ||||
\(423\) | 5058.32 | + | 8761.26i | 0.581427 | + | 1.00706i | ||||
\(424\) | −1246.88 | − | 2955.63i | −0.142816 | − | 0.338533i | ||||
\(425\) | −4487.42 | − | 2590.82i | −0.512169 | − | 0.295701i | ||||
\(426\) | 18.4841 | + | 11.7193i | 0.00210225 | + | 0.00133287i | ||||
\(427\) | −1893.29 | − | 4163.71i | −0.214573 | − | 0.471888i | ||||
\(428\) | 5622.50 | − | 2651.60i | 0.634985 | − | 0.299463i | ||||
\(429\) | −26.2578 | + | 45.4798i | −0.00295510 | + | 0.00511838i | ||||
\(430\) | 19742.4 | + | 819.019i | 2.21410 | + | 0.0918525i | ||||
\(431\) | 1912.19 | − | 1104.01i | 0.213706 | − | 0.123383i | −0.389327 | − | 0.921100i | \(-0.627292\pi\) |
0.603032 | + | 0.797717i | \(0.293959\pi\) | |||||||
\(432\) | 113.571 | + | 303.797i | 0.0126486 | + | 0.0338344i | ||||
\(433\) | 12802.5i | 1.42089i | 0.703751 | + | 0.710446i | \(0.251507\pi\) | ||||
−0.703751 | + | 0.710446i | \(0.748493\pi\) | |||||||
\(434\) | 16074.4 | − | 6519.40i | 1.77787 | − | 0.721063i | ||||
\(435\) | 212.709i | 0.0234451i | ||||||||
\(436\) | −9991.47 | − | 830.426i | −1.09749 | − | 0.0912160i | ||||
\(437\) | 858.898 | − | 495.885i | 0.0940198 | − | 0.0542824i | ||||
\(438\) | −7.30646 | + | 176.122i | −0.000797068 | + | 0.0192133i | ||||
\(439\) | −6900.24 | + | 11951.6i | −0.750183 | + | 1.29936i | 0.197551 | + | 0.980293i | \(0.436701\pi\) |
−0.947734 | + | 0.319062i | \(0.896632\pi\) | |||||||
\(440\) | −11819.9 | − | 1477.84i | −1.28066 | − | 0.160121i | ||||
\(441\) | 9084.90 | + | 1781.77i | 0.980985 | + | 0.192395i | ||||
\(442\) | −1451.11 | + | 2288.74i | −0.156159 | + | 0.246299i | ||||
\(443\) | −4670.84 | − | 2696.71i | −0.500945 | − | 0.289221i | 0.228159 | − | 0.973624i | \(-0.426729\pi\) |
−0.729104 | + | 0.684403i | \(0.760063\pi\) | |||||||
\(444\) | −32.5832 | + | 46.9665i | −0.00348272 | + | 0.00502011i | ||||
\(445\) | 5255.05 | + | 9102.01i | 0.559805 | + | 0.969610i | ||||
\(446\) | −1332.55 | − | 2546.28i | −0.141475 | − | 0.270336i | ||||
\(447\) | 137.299 | 0.0145280 | ||||||||
\(448\) | −6120.28 | − | 7242.76i | −0.645437 | − | 0.763813i | ||||
\(449\) | 15602.5 | 1.63992 | 0.819962 | − | 0.572417i | \(-0.193994\pi\) | ||||
0.819962 | + | 0.572417i | \(0.193994\pi\) | |||||||
\(450\) | 2933.41 | + | 5605.27i | 0.307294 | + | 0.587188i | ||||
\(451\) | −6125.29 | − | 10609.3i | −0.639531 | − | 1.10770i | ||||
\(452\) | −5251.94 | + | 7570.33i | −0.546528 | + | 0.787784i | ||||
\(453\) | −194.100 | − | 112.064i | −0.0201316 | − | 0.0116230i | ||||
\(454\) | −1726.20 | + | 2722.62i | −0.178446 | + | 0.281451i | ||||
\(455\) | −3724.60 | + | 1693.62i | −0.383763 | + | 0.174501i | ||||
\(456\) | −146.163 | − | 18.2747i | −0.0150103 | − | 0.00187673i | ||||
\(457\) | −2733.79 | + | 4735.06i | −0.279828 | + | 0.484676i | −0.971342 | − | 0.237687i | \(-0.923611\pi\) |
0.691514 | + | 0.722363i | \(0.256944\pi\) | |||||||
\(458\) | −400.785 | + | 9660.90i | −0.0408896 | + | 0.985643i | ||||
\(459\) | 274.419 | − | 158.436i | 0.0279059 | − | 0.0161115i | ||||
\(460\) | 1643.68 | + | 136.612i | 0.166602 | + | 0.0138469i | ||||
\(461\) | − | 14746.1i | − | 1.48979i | −0.667182 | − | 0.744895i | \(-0.732500\pi\) | ||
0.667182 | − | 0.744895i | \(-0.267500\pi\) | |||||||
\(462\) | −110.340 | + | 141.617i | −0.0111114 | + | 0.0142610i | ||||
\(463\) | 8510.80i | 0.854278i | 0.904186 | + | 0.427139i | \(0.140478\pi\) | ||||
−0.904186 | + | 0.427139i | \(0.859522\pi\) | |||||||
\(464\) | 3522.59 | + | 9422.74i | 0.352440 | + | 0.942758i | ||||
\(465\) | 388.083 | − | 224.060i | 0.0387030 | − | 0.0223452i | ||||
\(466\) | −7562.98 | − | 313.752i | −0.751821 | − | 0.0311894i | ||||
\(467\) | 7878.11 | − | 13645.3i | 0.780632 | − | 1.35209i | −0.150942 | − | 0.988543i | \(-0.548231\pi\) |
0.931574 | − | 0.363552i | \(-0.118436\pi\) | |||||||
\(468\) | 2992.62 | − | 1411.34i | 0.295586 | − | 0.139400i | ||||
\(469\) | 3788.95 | + | 368.048i | 0.373044 | + | 0.0362364i | ||||
\(470\) | −12908.7 | − | 8184.39i | −1.26688 | − | 0.803230i | ||||
\(471\) | 179.842 | + | 103.832i | 0.0175939 | + | 0.0101578i | ||||
\(472\) | 2813.48 | + | 6669.11i | 0.274366 | + | 0.650361i | ||||
\(473\) | −8846.18 | − | 15322.0i | −0.859932 | − | 1.48945i | ||||
\(474\) | 153.221 | − | 80.1850i | 0.0148474 | − | 0.00777008i | ||||
\(475\) | −5747.45 | −0.555182 | ||||||||
\(476\) | −5991.94 | + | 7065.64i | −0.576975 | + | 0.680363i | ||||
\(477\) | 3826.52 | 0.367305 | ||||||||
\(478\) | −1873.02 | + | 980.210i | −0.179226 | + | 0.0937945i | ||||
\(479\) | −7222.76 | − | 12510.2i | −0.688969 | − | 1.19333i | −0.972172 | − | 0.234270i | \(-0.924730\pi\) |
0.283202 | − | 0.959060i | \(-0.408603\pi\) | |||||||
\(480\) | −182.395 | − | 163.526i | −0.0173441 | − | 0.0155498i | ||||
\(481\) | 1010.21 | + | 583.244i | 0.0957621 | + | 0.0552883i | ||||
\(482\) | 4096.64 | + | 2597.36i | 0.387130 | + | 0.245449i | ||||
\(483\) | 14.4520 | − | 20.2250i | 0.00136147 | − | 0.00190532i | ||||
\(484\) | 7.59766 | + | 16.1102i | 0.000713529 | + | 0.00151298i | ||||
\(485\) | −2787.61 | + | 4828.28i | −0.260987 | + | 0.452043i | ||||
\(486\) | −579.854 | − | 24.0554i | −0.0541208 | − | 0.00224521i | ||||
\(487\) | 6588.32 | − | 3803.77i | 0.613029 | − | 0.353933i | −0.161121 | − | 0.986935i | \(-0.551511\pi\) |
0.774150 | + | 0.633002i | \(0.218178\pi\) | |||||||
\(488\) | −4455.56 | − | 3372.98i | −0.413307 | − | 0.312885i | ||||
\(489\) | − | 96.1108i | − | 0.00888810i | ||||||
\(490\) | −13409.4 | + | 3979.20i | −1.23627 | + | 0.366861i | ||||
\(491\) | 7521.86i | 0.691358i | 0.938353 | + | 0.345679i | \(0.112351\pi\) | ||||
−0.938353 | + | 0.345679i | \(0.887649\pi\) | |||||||
\(492\) | 20.8669 | − | 251.065i | 0.00191210 | − | 0.0230059i | ||||
\(493\) | 8511.53 | − | 4914.13i | 0.777566 | − | 0.448928i | ||||
\(494\) | −124.594 | + | 3003.33i | −0.0113477 | + | 0.273535i | ||||
\(495\) | 7104.59 | − | 12305.5i | 0.645106 | − | 1.11736i | ||||
\(496\) | 13481.0 | − | 16352.5i | 1.22039 | − | 1.48034i | ||||
\(497\) | 887.668 | − | 1242.26i | 0.0801154 | − | 0.112118i | ||||
\(498\) | 112.331 | − | 177.172i | 0.0101077 | − | 0.0159423i | ||||
\(499\) | 12351.3 | + | 7131.05i | 1.10806 | + | 0.639739i | 0.938326 | − | 0.345751i | \(-0.112376\pi\) |
0.169734 | + | 0.985490i | \(0.445709\pi\) | |||||||
\(500\) | 3992.69 | + | 2769.94i | 0.357117 | + | 0.247751i | ||||
\(501\) | 151.709 | + | 262.768i | 0.0135287 | + | 0.0234323i | ||||
\(502\) | −2103.69 | − | 4019.81i | −0.187036 | − | 0.357396i | ||||
\(503\) | −3887.75 | −0.344625 | −0.172312 | − | 0.985042i | \(-0.555124\pi\) | ||||
−0.172312 | + | 0.985042i | \(0.555124\pi\) | |||||||
\(504\) | 10797.9 | − | 3368.37i | 0.954319 | − | 0.297697i | ||||
\(505\) | 18871.2 | 1.66289 | ||||||||
\(506\) | −684.759 | − | 1308.46i | −0.0601606 | − | 0.114957i | ||||
\(507\) | −92.0874 | − | 159.500i | −0.00806656 | − | 0.0139717i | ||||
\(508\) | −962.103 | − | 667.463i | −0.0840284 | − | 0.0582950i | ||||
\(509\) | −14200.0 | − | 8198.40i | −1.23655 | − | 0.713924i | −0.268165 | − | 0.963373i | \(-0.586417\pi\) |
−0.968388 | + | 0.249448i | \(0.919751\pi\) | |||||||
\(510\) | −128.154 | + | 202.129i | −0.0111270 | + | 0.0175499i | ||||
\(511\) | 12239.5 | + | 1188.91i | 1.05957 | + | 0.102924i | ||||
\(512\) | −10788.0 | − | 4223.44i | −0.931183 | − | 0.364553i | ||||
\(513\) | 175.737 | − | 304.385i | 0.0151247 | − | 0.0261967i | ||||
\(514\) | 607.228 | − | 14637.2i | 0.0521083 | − | 1.25607i | ||||
\(515\) | −1494.18 | + | 862.663i | −0.127847 | + | 0.0738126i | ||||
\(516\) | 30.1361 | − | 362.590i | 0.00257106 | − | 0.0309344i | ||||
\(517\) | 13685.7i | 1.16421i | ||||||||
\(518\) | 3145.63 | + | 2450.89i | 0.266816 | + | 0.207888i | ||||
\(519\) | 4.67225i | 0.000395162i | ||||||||
\(520\) | −3017.26 | + | 3985.68i | −0.254453 | + | 0.336122i | ||||
\(521\) | −3203.82 | + | 1849.73i | −0.269409 | + | 0.155543i | −0.628619 | − | 0.777713i | \(-0.716379\pi\) |
0.359210 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(522\) | −11989.4 | − | 497.382i | −1.00529 | − | 0.0417047i | ||||
\(523\) | −4152.31 | + | 7192.01i | −0.347166 | + | 0.601309i | −0.985745 | − | 0.168247i | \(-0.946189\pi\) |
0.638579 | + | 0.769556i | \(0.279523\pi\) | |||||||
\(524\) | 4861.51 | + | 10308.4i | 0.405298 | + | 0.859399i | ||||
\(525\) | −131.134 | + | 59.6282i | −0.0109013 | + | 0.00495693i | ||||
\(526\) | 2289.85 | + | 1451.82i | 0.189814 | + | 0.120346i | ||||
\(527\) | −17931.5 | − | 10352.7i | −1.48218 | − | 0.855735i | ||||
\(528\) | −36.2102 | + | 216.331i | −0.00298456 | + | 0.0178307i | ||||
\(529\) | −5981.26 | − | 10359.8i | −0.491597 | − | 0.851471i | ||||
\(530\) | −5122.23 | + | 2680.62i | −0.419803 | + | 0.219695i | ||||
\(531\) | −8634.20 | −0.705636 | ||||||||
\(532\) | −1837.23 | + | 10110.3i | −0.149725 | + | 0.823944i | ||||
\(533\) | −5141.07 | −0.417794 | ||||||||
\(534\) | 171.467 | − | 89.7338i | 0.0138953 | − | 0.00727184i | ||||
\(535\) | −5601.61 | − | 9702.28i | −0.452671 | − | 0.784049i | ||||
\(536\) | 4285.28 | − | 1807.82i | 0.345328 | − | 0.145683i | ||||
\(537\) | −236.658 | − | 136.635i | −0.0190178 | − | 0.0109799i | ||||
\(538\) | 5479.54 | + | 3474.15i | 0.439107 | + | 0.278403i | ||||
\(539\) | 9438.23 | + | 8232.41i | 0.754236 | + | 0.657876i | ||||
\(540\) | 528.672 | − | 249.325i | 0.0421304 | − | 0.0198690i | ||||
\(541\) | 4989.02 | − | 8641.23i | 0.396478 | − | 0.686720i | −0.596811 | − | 0.802382i | \(-0.703566\pi\) |
0.993289 | + | 0.115662i | \(0.0368990\pi\) | |||||||
\(542\) | −17729.9 | − | 735.530i | −1.40510 | − | 0.0582910i | ||||
\(543\) | −87.0970 | + | 50.2855i | −0.00688341 | + | 0.00397414i | ||||
\(544\) | −2329.69 | + | 11076.4i | −0.183611 | + | 0.872973i | ||||
\(545\) | 18068.8i | 1.42015i | ||||||||
\(546\) | 28.3160 | + | 69.8167i | 0.00221944 | + | 0.00547231i | ||||
\(547\) | 8278.49i | 0.647098i | 0.946211 | + | 0.323549i | \(0.104876\pi\) | ||||
−0.946211 | + | 0.323549i | \(0.895124\pi\) | |||||||
\(548\) | 10914.5 | + | 907.143i | 0.850811 | + | 0.0707139i | ||||
\(549\) | 5772.94 | − | 3333.01i | 0.448785 | − | 0.259106i | ||||
\(550\) | −354.740 | + | 8550.98i | −0.0275021 | + | 0.662937i | ||||
\(551\) | 5450.75 | − | 9440.97i | 0.421433 | − | 0.729944i | ||||
\(552\) | 3.76787 | − | 30.1357i | 0.000290527 | − | 0.00232366i | ||||
\(553\) | −4993.68 | − | 10982.1i | −0.384002 | − | 0.844494i | ||||
\(554\) | 10998.2 | − | 17346.8i | 0.843448 | − | 1.33031i | ||||
\(555\) | 89.2163 | + | 51.5091i | 0.00682346 | + | 0.00393953i | ||||
\(556\) | 8411.31 | − | 12124.3i | 0.641581 | − | 0.924796i | ||||
\(557\) | 9289.00 | + | 16089.0i | 0.706620 | + | 1.22390i | 0.966104 | + | 0.258155i | \(0.0831144\pi\) |
−0.259483 | + | 0.965748i | \(0.583552\pi\) | |||||||
\(558\) | 11721.7 | + | 22398.3i | 0.889283 | + | 1.69928i | ||||
\(559\) | −7424.76 | −0.561778 | ||||||||
\(560\) | −12094.5 | + | 12073.3i | −0.912655 | + | 0.911051i | ||||
\(561\) | 214.295 | 0.0161276 | ||||||||
\(562\) | −5049.93 | − | 9649.60i | −0.379036 | − | 0.724277i | ||||
\(563\) | 5985.39 | + | 10367.0i | 0.448054 | + | 0.776052i | 0.998259 | − | 0.0589776i | \(-0.0187841\pi\) |
−0.550206 | + | 0.835029i | \(0.685451\pi\) | |||||||
\(564\) | −160.426 | + | 231.244i | −0.0119773 | + | 0.0172644i | ||||
\(565\) | 14380.4 | + | 8302.53i | 1.07078 | + | 0.618212i | ||||
\(566\) | 7484.07 | − | 11804.1i | 0.555793 | − | 0.876615i | ||||
\(567\) | −1304.05 | + | 13424.9i | −0.0965874 | + | 0.994341i | ||||
\(568\) | 231.429 | − | 1850.99i | 0.0170961 | − | 0.136736i | ||||
\(569\) | −6586.01 | + | 11407.3i | −0.485237 | + | 0.840455i | −0.999856 | − | 0.0169638i | \(-0.994600\pi\) |
0.514619 | + | 0.857419i | \(0.327933\pi\) | |||||||
\(570\) | −11.0035 | + | 265.238i | −0.000808570 | + | 0.0194906i | ||||
\(571\) | −11143.6 | + | 6433.76i | −0.816717 | + | 0.471532i | −0.849283 | − | 0.527938i | \(-0.822965\pi\) |
0.0325660 | + | 0.999470i | \(0.489632\pi\) | |||||||
\(572\) | 4460.63 | + | 370.738i | 0.326063 | + | 0.0271003i | ||||
\(573\) | 287.895i | 0.0209895i | ||||||||
\(574\) | −17407.3 | − | 2422.80i | −1.26579 | − | 0.176177i | ||||
\(575\) | − | 1185.01i | − | 0.0859447i | ||||||
\(576\) | 9643.69 | − | 9898.36i | 0.697605 | − | 0.716027i | ||||
\(577\) | −15701.9 | + | 9065.48i | −1.13289 | + | 0.654075i | −0.944660 | − | 0.328050i | \(-0.893608\pi\) |
−0.188230 | + | 0.982125i | \(0.560275\pi\) | |||||||
\(578\) | −2835.21 | − | 117.619i | −0.204030 | − | 0.00846423i | ||||
\(579\) | 50.6957 | − | 87.8076i | 0.00363876 | − | 0.00630252i | ||||
\(580\) | 16397.6 | − | 7733.20i | 1.17392 | − | 0.553627i | ||||
\(581\) | −11907.1 | − | 8508.36i | −0.850241 | − | 0.607549i | ||||
\(582\) | 86.7017 | + | 54.9707i | 0.00617509 | + | 0.00391514i | ||||
\(583\) | 4482.96 | + | 2588.24i | 0.318465 | + | 0.183866i | ||||
\(584\) | 13842.7 | − | 5839.80i | 0.980851 | − | 0.413789i | ||||
\(585\) | −2981.51 | − | 5164.12i | −0.210718 | − | 0.364975i | ||||
\(586\) | 17288.1 | − | 9047.41i | 1.21871 | − | 0.637790i | ||||
\(587\) | 24252.4 | 1.70529 | 0.852644 | − | 0.522492i | \(-0.174998\pi\) | ||||
0.852644 | + | 0.522492i | \(0.174998\pi\) | |||||||
\(588\) | 62.9737 | + | 249.738i | 0.00441665 | + | 0.0175154i | ||||
\(589\) | −22966.5 | −1.60665 | ||||||||
\(590\) | 11557.8 | − | 6048.57i | 0.806490 | − | 0.422061i | ||||
\(591\) | 56.6809 | + | 98.1742i | 0.00394508 | + | 0.00683307i | ||||
\(592\) | 4805.20 | + | 804.310i | 0.333602 | + | 0.0558394i | ||||
\(593\) | −6524.07 | − | 3766.67i | −0.451790 | − | 0.260841i | 0.256796 | − | 0.966466i | \(-0.417333\pi\) |
−0.708586 | + | 0.705625i | \(0.750666\pi\) | |||||||
\(594\) | −442.013 | − | 280.246i | −0.0305320 | − | 0.0193580i | ||||
\(595\) | 13584.4 | + | 9706.91i | 0.935979 | + | 0.668814i | ||||
\(596\) | −4991.62 | − | 10584.3i | −0.343062 | − | 0.727432i | ||||
\(597\) | −96.5337 | + | 167.201i | −0.00661786 | + | 0.0114625i | ||||
\(598\) | −619.225 | − | 25.6887i | −0.0423445 | − | 0.00175667i | ||||
\(599\) | −20430.0 | + | 11795.3i | −1.39357 | + | 0.804578i | −0.993709 | − | 0.111997i | \(-0.964275\pi\) |
−0.399862 | + | 0.916575i | \(0.630942\pi\) | |||||||
\(600\) | −106.230 | + | 140.326i | −0.00722807 | + | 0.00954797i | ||||
\(601\) | 585.188i | 0.0397177i | 0.999803 | + | 0.0198588i | \(0.00632168\pi\) | ||||
−0.999803 | + | 0.0198588i | \(0.993678\pi\) | |||||||
\(602\) | −25139.7 | − | 3499.02i | −1.70202 | − | 0.236893i | ||||
\(603\) | 5547.96i | 0.374677i | ||||||||
\(604\) | −1582.25 | + | 19037.2i | −0.106591 | + | 1.28247i | ||||
\(605\) | 27.8000 | − | 16.0503i | 0.00186815 | − | 0.00107858i | ||||
\(606\) | 14.4031 | − | 347.187i | 0.000965491 | − | 0.0232731i | ||||
\(607\) | 11750.3 | − | 20352.1i | 0.785715 | − | 1.36090i | −0.142856 | − | 0.989744i | \(-0.545629\pi\) |
0.928571 | − | 0.371155i | \(-0.121038\pi\) | |||||||
\(608\) | 3905.08 | + | 11932.0i | 0.260480 | + | 0.795897i | ||||
\(609\) | 26.4170 | − | 271.956i | 0.00175775 | − | 0.0180956i | ||||
\(610\) | −5392.83 | + | 8505.76i | −0.357950 | + | 0.564571i | ||||
\(611\) | 4973.86 | + | 2871.66i | 0.329330 | + | 0.190139i | ||||
\(612\) | −11093.4 | − | 7696.10i | −0.732720 | − | 0.508327i | ||||
\(613\) | −2807.61 | − | 4862.93i | −0.184989 | − | 0.320411i | 0.758584 | − | 0.651576i | \(-0.225892\pi\) |
−0.943573 | + | 0.331165i | \(0.892558\pi\) | |||||||
\(614\) | 9852.41 | + | 18826.4i | 0.647575 | + | 1.23741i | ||||
\(615\) | −454.032 | −0.0297697 | ||||||||
\(616\) | 14928.6 | + | 3357.42i | 0.976447 | + | 0.219601i | ||||
\(617\) | 18767.7 | 1.22457 | 0.612286 | − | 0.790636i | \(-0.290250\pi\) | ||||
0.612286 | + | 0.790636i | \(0.290250\pi\) | |||||||
\(618\) | 14.7306 | + | 28.1478i | 0.000958822 | + | 0.00183215i | ||||
\(619\) | −10954.8 | − | 18974.3i | −0.711325 | − | 1.23205i | −0.964360 | − | 0.264594i | \(-0.914762\pi\) |
0.253034 | − | 0.967457i | \(-0.418571\pi\) | |||||||
\(620\) | −31381.7 | − | 21771.1i | −2.03277 | − | 1.41024i | ||||
\(621\) | 62.7579 | + | 36.2333i | 0.00405538 | + | 0.00234137i | ||||
\(622\) | 1162.00 | − | 1832.74i | 0.0749064 | − | 0.118145i | ||||
\(623\) | −5588.36 | − | 12289.9i | −0.359378 | − | 0.790343i | ||||
\(624\) | 71.0244 | + | 58.5527i | 0.00455649 | + | 0.00375639i | ||||
\(625\) | 9558.18 | − | 16555.2i | 0.611723 | − | 1.05954i | ||||
\(626\) | −333.075 | + | 8028.76i | −0.0212657 | + | 0.512610i | ||||
\(627\) | 205.851 | − | 118.848i | 0.0131115 | − | 0.00756991i | ||||
\(628\) | 1466.02 | − | 17638.8i | 0.0931541 | − | 1.12081i | ||||
\(629\) | − | 4759.99i | − | 0.301738i | ||||||
\(630\) | −7661.49 | − | 18890.4i | −0.484509 | − | 1.19462i | ||||
\(631\) | − | 6303.66i | − | 0.397694i | −0.980031 | − | 0.198847i | \(-0.936280\pi\) | ||
0.980031 | − | 0.198847i | \(-0.0637197\pi\) | |||||||
\(632\) | −11751.9 | − | 8896.47i | −0.739658 | − | 0.559941i | ||||
\(633\) | −61.9752 | + | 35.7814i | −0.00389146 | + | 0.00224673i | ||||
\(634\) | 16163.9 | + | 670.562i | 1.01254 | + | 0.0420054i | ||||
\(635\) | −1055.16 | + | 1827.59i | −0.0659412 | + | 0.114213i | ||||
\(636\) | 45.4078 | + | 96.2832i | 0.00283103 | + | 0.00600295i | ||||
\(637\) | 4972.37 | − | 1702.78i | 0.309282 | − | 0.105913i | ||||
\(638\) | −13709.7 | − | 8692.26i | −0.850742 | − | 0.539388i | ||||
\(639\) | 1927.04 | + | 1112.58i | 0.119300 | + | 0.0688778i | ||||
\(640\) | −5975.00 | + | 20005.8i | −0.369036 | + | 1.23562i | ||||
\(641\) | −3879.08 | − | 6718.77i | −0.239024 | − | 0.414002i | 0.721410 | − | 0.692508i | \(-0.243494\pi\) |
−0.960435 | + | 0.278506i | \(0.910161\pi\) | |||||||
\(642\) | −182.775 | + | 95.6517i | −0.0112361 | + | 0.00588017i | ||||
\(643\) | −31588.3 | −1.93735 | −0.968677 | − | 0.248323i | \(-0.920121\pi\) | ||||
−0.968677 | + | 0.248323i | \(0.920121\pi\) | |||||||
\(644\) | −2084.54 | − | 378.798i | −0.127550 | − | 0.0231782i | ||||
\(645\) | −655.716 | −0.0400291 | ||||||||
\(646\) | 10867.7 | − | 5687.41i | 0.661896 | − | 0.346390i | ||||
\(647\) | 1356.83 | + | 2350.10i | 0.0824461 | + | 0.142801i | 0.904300 | − | 0.426897i | \(-0.140393\pi\) |
−0.821854 | + | 0.569698i | \(0.807060\pi\) | |||||||
\(648\) | 6405.39 | + | 15183.4i | 0.388314 | + | 0.920465i | ||||
\(649\) | −10115.4 | − | 5840.13i | −0.611809 | − | 0.353228i | ||||
\(650\) | 3033.30 | + | 1923.18i | 0.183040 | + | 0.116051i | ||||
\(651\) | −524.004 | + | 238.271i | −0.0315474 | + | 0.0143450i | ||||
\(652\) | −7409.11 | + | 3494.19i | −0.445036 | + | 0.209882i | ||||
\(653\) | −7502.94 | + | 12995.5i | −0.449637 | + | 0.778794i | −0.998362 | − | 0.0572087i | \(-0.981780\pi\) |
0.548725 | + | 0.836003i | \(0.315113\pi\) | |||||||
\(654\) | 332.424 | + | 13.7907i | 0.0198759 | + | 0.000824555i | ||||
\(655\) | 17788.4 | − | 10270.1i | 1.06114 | − | 0.612652i | ||||
\(656\) | −20113.1 | + | 7519.07i | −1.19708 | + | 0.447516i | ||||
\(657\) | 17921.6i | 1.06421i | ||||||||
\(658\) | 15487.8 | + | 12067.2i | 0.917594 | + | 0.714937i | ||||
\(659\) | 16279.4i | 0.962301i | 0.876638 | + | 0.481150i | \(0.159781\pi\) | ||||
−0.876638 | + | 0.481150i | \(0.840219\pi\) | |||||||
\(660\) | 393.939 | + | 32.7417i | 0.0232334 | + | 0.00193101i | ||||
\(661\) | 9763.98 | − | 5637.24i | 0.574546 | − | 0.331714i | −0.184417 | − | 0.982848i | \(-0.559040\pi\) |
0.758963 | + | 0.651134i | \(0.225706\pi\) | |||||||
\(662\) | −225.692 | + | 5440.30i | −0.0132504 | + | 0.319401i | ||||
\(663\) | 44.9655 | − | 77.8826i | 0.00263396 | − | 0.00456215i | ||||
\(664\) | −17741.9 | − | 2218.27i | −1.03693 | − | 0.129647i | ||||
\(665\) | 18432.6 | + | 1790.49i | 1.07486 | + | 0.104409i | ||||
\(666\) | −3111.94 | + | 4908.26i | −0.181059 | + | 0.285572i | ||||
\(667\) | 1946.53 | + | 1123.83i | 0.112999 | + | 0.0652398i | ||||
\(668\) | 14741.1 | − | 21248.3i | 0.853817 | − | 1.23072i | ||||
\(669\) | 47.6850 | + | 82.5928i | 0.00275577 | + | 0.00477313i | ||||
\(670\) | −3886.55 | − | 7426.56i | −0.224105 | − | 0.428229i | ||||
\(671\) | 9017.71 | 0.518815 | ||||||||
\(672\) | 212.889 | + | 231.726i | 0.0122208 | + | 0.0133021i | ||||
\(673\) | 17159.1 | 0.982813 | 0.491406 | − | 0.870930i | \(-0.336483\pi\) | ||||
0.491406 | + | 0.870930i | \(0.336483\pi\) | |||||||
\(674\) | 5253.91 | + | 10039.4i | 0.300257 | + | 0.573743i | ||||
\(675\) | −209.977 | − | 363.691i | −0.0119734 | − | 0.0207385i | ||||
\(676\) | −8947.84 | + | 12897.7i | −0.509094 | + | 0.733825i | ||||
\(677\) | 13993.3 | + | 8079.03i | 0.794395 | + | 0.458644i | 0.841508 | − | 0.540245i | \(-0.181668\pi\) |
−0.0471122 | + | 0.998890i | \(0.515002\pi\) | |||||||
\(678\) | 163.723 | − | 258.230i | 0.00927396 | − | 0.0146272i | ||||
\(679\) | 4163.70 | − | 5826.93i | 0.235328 | − | 0.329333i | ||||
\(680\) | 20241.2 | + | 2530.75i | 1.14149 | + | 0.142720i | ||||
\(681\) | 53.4897 | − | 92.6468i | 0.00300988 | − | 0.00521327i | ||||
\(682\) | −1417.52 | + | 34169.2i | −0.0795888 | + | 1.91849i | ||||
\(683\) | 26743.3 | − | 15440.3i | 1.49825 | − | 0.865015i | 0.498252 | − | 0.867032i | \(-0.333975\pi\) |
0.999998 | + | 0.00201701i | \(0.000642035\pi\) | |||||||
\(684\) | −14924.5 | − | 1240.43i | −0.834288 | − | 0.0693406i | ||||
\(685\) | − | 19738.0i | − | 1.10095i | ||||||
\(686\) | 17638.5 | − | 3422.20i | 0.981694 | − | 0.190467i | ||||
\(687\) | − | 320.873i | − | 0.0178196i | ||||||
\(688\) | −29047.4 | + | 10859.1i | −1.60963 | + | 0.601742i | ||||
\(689\) | 1881.32 | − | 1086.18i | 0.104024 | − | 0.0600582i | ||||
\(690\) | −54.6867 | − | 2.26869i | −0.00301723 | − | 0.000125170i | ||||
\(691\) | −12232.5 | + | 21187.3i | −0.673438 | + | 1.16643i | 0.303485 | + | 0.952836i | \(0.401850\pi\) |
−0.976923 | + | 0.213593i | \(0.931483\pi\) | |||||||
\(692\) | 360.181 | − | 169.864i | 0.0197861 | − | 0.00933127i | ||||
\(693\) | −10611.7 | + | 14850.7i | −0.581683 | + | 0.814042i | ||||
\(694\) | 4633.73 | + | 2937.88i | 0.253449 | + | 0.160692i | ||||
\(695\) | −23031.1 | − | 13297.0i | −1.25701 | − | 0.725733i | ||||
\(696\) | −129.758 | − | 307.580i | −0.00706675 | − | 0.0167511i | ||||
\(697\) | 10489.3 | + | 18168.1i | 0.570032 | + | 0.987324i | ||||
\(698\) | 4203.77 | − | 2199.96i | 0.227959 | − | 0.119298i | ||||
\(699\) | 251.194 | 0.0135923 | ||||||||
\(700\) | 9364.18 | + | 7941.20i | 0.505618 | + | 0.428785i | ||||
\(701\) | 19017.1 | 1.02463 | 0.512316 | − | 0.858797i | \(-0.328788\pi\) | ||||
0.512316 | + | 0.858797i | \(0.328788\pi\) | |||||||
\(702\) | −194.599 | + | 101.840i | −0.0104625 | + | 0.00547533i | ||||
\(703\) | −2639.88 | − | 4572.41i | −0.141629 | − | 0.245308i | ||||
\(704\) | 17993.3 | − | 5073.47i | 0.963276 | − | 0.271610i | ||||
\(705\) | 439.265 | + | 253.610i | 0.0234662 | + | 0.0135482i | ||||
\(706\) | 5732.24 | + | 3634.36i | 0.305575 | + | 0.193741i | ||||
\(707\) | −24127.5 | − | 2343.68i | −1.28346 | − | 0.124672i | ||||
\(708\) | −102.459 | − | 217.254i | −0.00543874 | − | 0.0115324i | ||||
\(709\) | 7409.95 | − | 12834.4i | 0.392506 | − | 0.679840i | −0.600274 | − | 0.799795i | \(-0.704942\pi\) |
0.992779 | + | 0.119955i | \(0.0382750\pi\) | |||||||
\(710\) | −3358.96 | − | 139.347i | −0.177549 | − | 0.00736565i | ||||
\(711\) | 15226.5 | − | 8791.04i | 0.803150 | − | 0.463699i | ||||
\(712\) | −13151.3 | − | 9955.91i | −0.692229 | − | 0.524036i | ||||
\(713\) | − | 4735.21i | − | 0.248717i | ||||||
\(714\) | 188.953 | − | 242.514i | 0.00990390 | − | 0.0127113i | ||||
\(715\) | − | 8066.70i | − | 0.421926i | ||||||
\(716\) | −1929.17 | + | 23211.3i | −0.100693 | + | 1.21152i | ||||
\(717\) | 60.7546 | − | 35.0767i | 0.00316447 | − | 0.00182701i | ||||
\(718\) | −175.862 | + | 4239.14i | −0.00914080 | + | 0.220339i | ||||
\(719\) | −7996.54 | + | 13850.4i | −0.414771 | + | 0.718405i | −0.995404 | − | 0.0957604i | \(-0.969472\pi\) |
0.580633 | + | 0.814165i | \(0.302805\pi\) | |||||||
\(720\) | −19217.1 | − | 15842.7i | −0.994695 | − | 0.820030i | ||||
\(721\) | 2017.49 | − | 917.379i | 0.104210 | − | 0.0473855i | ||||
\(722\) | −3102.92 | + | 4894.03i | −0.159943 | + | 0.252267i | ||||
\(723\) | −139.403 | − | 80.4843i | −0.00717075 | − | 0.00414003i | ||||
\(724\) | 7042.96 | + | 4886.08i | 0.361532 | + | 0.250814i | ||||
\(725\) | −6512.77 | − | 11280.4i | −0.333625 | − | 0.577856i | ||||
\(726\) | −0.274071 | − | 0.523706i | −1.40107e−5 | − | 2.67721e-5i | ||||
\(727\) | −11418.3 | −0.582503 | −0.291252 | − | 0.956646i | \(-0.594072\pi\) | ||||
−0.291252 | + | 0.956646i | \(0.594072\pi\) | |||||||
\(728\) | 4352.67 | − | 4721.10i | 0.221595 | − | 0.240351i | ||||
\(729\) | −19644.5 | −0.998043 | ||||||||
\(730\) | −12554.7 | − | 23990.1i | −0.636536 | − | 1.21632i | ||||
\(731\) | 15148.8 | + | 26238.5i | 0.766481 | + | 1.32758i | ||||
\(732\) | 152.370 | + | 105.708i | 0.00769368 | + | 0.00533752i | ||||
\(733\) | −3692.15 | − | 2131.66i | −0.186047 | − | 0.107414i | 0.404084 | − | 0.914722i | \(-0.367590\pi\) |
−0.590131 | + | 0.807308i | \(0.700924\pi\) | |||||||
\(734\) | −13944.3 | + | 21993.4i | −0.701217 | + | 1.10598i | ||||
\(735\) | 439.134 | − | 150.381i | 0.0220377 | − | 0.00754678i | ||||
\(736\) | −2460.13 | + | 805.147i | −0.123209 | + | 0.0403235i | ||||
\(737\) | −3752.61 | + | 6499.71i | −0.187556 | + | 0.324857i | ||||
\(738\) | 1061.68 | − | 25591.6i | 0.0529550 | − | 1.27648i | ||||
\(739\) | −25655.7 | + | 14812.3i | −1.27708 | + | 0.737321i | −0.976310 | − | 0.216376i | \(-0.930576\pi\) |
−0.300768 | + | 0.953697i | \(0.597243\pi\) | |||||||
\(740\) | 727.266 | − | 8750.28i | 0.0361282 | − | 0.434685i | ||||
\(741\) | − | 99.7513i | − | 0.00494529i | ||||||
\(742\) | 6881.86 | − | 2791.12i | 0.340487 | − | 0.138093i | ||||
\(743\) | − | 9471.33i | − | 0.467657i | −0.972278 | − | 0.233829i | \(-0.924875\pi\) | ||
0.972278 | − | 0.233829i | \(-0.0751255\pi\) | |||||||
\(744\) | −424.491 | + | 560.734i | −0.0209174 | + | 0.0276311i | ||||
\(745\) | −18264.4 | + | 10545.0i | −0.898198 | + | 0.518575i | ||||
\(746\) | 1236.31 | + | 51.2885i | 0.0606762 | + | 0.00251716i | ||||
\(747\) | 10664.1 | − | 18470.8i | 0.522330 | − | 0.904702i | ||||
\(748\) | −7790.88 | − | 16519.9i | −0.380833 | − | 0.807522i | ||||
\(749\) | 5956.90 | + | 13100.4i | 0.290601 | + | 0.639089i | ||||
\(750\) | −136.194 | − | 86.3496i | −0.00663078 | − | 0.00420405i | ||||
\(751\) | 16235.4 | + | 9373.53i | 0.788868 | + | 0.455453i | 0.839564 | − | 0.543261i | \(-0.182811\pi\) |
−0.0506961 | + | 0.998714i | \(0.516144\pi\) | |||||||
\(752\) | 23658.9 | + | 3960.10i | 1.14727 | + | 0.192034i | ||||
\(753\) | 75.2802 | + | 130.389i | 0.00364325 | + | 0.00631029i | ||||
\(754\) | −6035.78 | + | 3158.71i | −0.291526 | + | 0.152564i | ||||
\(755\) | 34427.3 | 1.65952 | ||||||||
\(756\) | −706.890 | + | 253.113i | −0.0340071 | + | 0.0121768i | ||||
\(757\) | −28442.9 | −1.36562 | −0.682809 | − | 0.730597i | \(-0.739242\pi\) | ||||
−0.682809 | + | 0.730597i | \(0.739242\pi\) | |||||||
\(758\) | 22253.8 | − | 11646.1i | 1.06635 | − | 0.558054i | ||||
\(759\) | 24.5040 | + | 42.4422i | 0.00117186 | + | 0.00202971i | ||||
\(760\) | 20847.1 | − | 8794.71i | 0.995004 | − | 0.419760i | ||||
\(761\) | −23807.4 | − | 13745.2i | −1.13406 | − | 0.654749i | −0.189106 | − | 0.981957i | \(-0.560559\pi\) |
−0.944953 | + | 0.327207i | \(0.893892\pi\) | |||||||
\(762\) | 32.8181 | + | 20.8073i | 0.00156020 | + | 0.000989200i | ||||
\(763\) | 2244.02 | − | 23101.6i | 0.106473 | − | 1.09611i | ||||
\(764\) | 22193.6 | − | 10466.6i | 1.05096 | − | 0.495641i | ||||
\(765\) | −12166.4 | + | 21072.8i | −0.575001 | + | 0.995931i | ||||
\(766\) | −17961.0 | − | 745.118i | −0.847205 | − | 0.0351465i | ||||
\(767\) | −4245.02 | + | 2450.86i | −0.199842 | + | 0.115379i | ||||
\(768\) | 363.501 | + | 125.195i | 0.0170790 | + | 0.00588229i | ||||
\(769\) | − | 36762.3i | − | 1.72390i | −0.506991 | − | 0.861952i | \(-0.669242\pi\) | ||
0.506991 | − | 0.861952i | \(-0.330758\pi\) | |||||||
\(770\) | 3801.54 | − | 27313.2i | 0.177919 | − | 1.27831i | ||||
\(771\) | 486.154i | 0.0227087i | ||||||||
\(772\) | −8612.11 | − | 715.782i | −0.401498 | − | 0.0333699i | ||||
\(773\) | 7076.12 | − | 4085.40i | 0.329250 | − | 0.190093i | −0.326258 | − | 0.945281i | \(-0.605788\pi\) |
0.655508 | + | 0.755188i | \(0.272454\pi\) | |||||||
\(774\) | 1533.28 | − | 36959.6i | 0.0712048 | − | 1.71639i | ||||
\(775\) | −13720.6 | + | 23764.8i | −0.635948 | + | 1.10149i | ||||
\(776\) | 1085.54 | − | 8682.28i | 0.0502174 | − | 0.401644i | ||||
\(777\) | −107.669 | − | 76.9363i | −0.00497118 | − | 0.00355222i | ||||
\(778\) | −4340.68 | + | 6846.27i | −0.200027 | + | 0.315489i | ||||
\(779\) | 20152.0 | + | 11634.8i | 0.926855 | + | 0.535120i | ||||
\(780\) | 94.5596 | − | 136.301i | 0.00434074 | − | 0.00625688i | ||||
\(781\) | 1505.08 | + | 2606.88i | 0.0689579 | + | 0.119439i | ||||
\(782\) | 1172.63 | + | 2240.70i | 0.0536228 | + | 0.102465i | ||||
\(783\) | 796.550 | 0.0363555 | ||||||||
\(784\) | 16962.7 | − | 13934.0i | 0.772717 | − | 0.634750i | ||||
\(785\) | −31898.5 | −1.45032 | ||||||||
\(786\) | −175.370 | − | 335.104i | −0.00795832 | − | 0.0152071i | ||||
\(787\) | 16883.2 | + | 29242.6i | 0.764703 | + | 1.32450i | 0.940403 | + | 0.340061i | \(0.110448\pi\) |
−0.175700 | + | 0.984444i | \(0.556219\pi\) | |||||||
\(788\) | 5507.50 | − | 7938.69i | 0.248980 | − | 0.358889i | ||||
\(789\) | −77.9205 | − | 44.9874i | −0.00351590 | − | 0.00202990i | ||||
\(790\) | −14224.0 | + | 22434.5i | −0.640590 | + | 1.01036i | ||||
\(791\) | −17354.7 | − | 12401.0i | −0.780105 | − | 0.557433i | ||||
\(792\) | −2766.65 | + | 22127.9i | −0.124127 | + | 0.992780i | ||||
\(793\) | 1892.18 | − | 3277.36i | 0.0847332 | − | 0.146762i | ||||
\(794\) | −659.578 | + | 15899.1i | −0.0294805 | + | 0.710627i | ||||
\(795\) | 166.148 | − | 95.9255i | 0.00741215 | − | 0.00427941i | ||||
\(796\) | 16399.0 | + | 1362.98i | 0.730210 | + | 0.0606903i | ||||
\(797\) | − | 3635.92i | − | 0.161595i | −0.996731 | − | 0.0807973i | \(-0.974253\pi\) | ||
0.996731 | − | 0.0807973i | \(-0.0257466\pi\) | |||||||
\(798\) | 47.0092 | − | 337.750i | 0.00208535 | − | 0.0149827i | ||||
\(799\) | − | 23436.2i | − | 1.03769i | ||||||
\(800\) | 14679.7 | + | 3087.57i | 0.648758 | + | 0.136453i | ||||
\(801\) | 17039.8 | − | 9837.93i | 0.751650 | − | 0.433965i | ||||
\(802\) | 11076.6 | + | 459.517i | 0.487693 | + | 0.0202320i | ||||
\(803\) | −12122.1 | + | 20996.0i | −0.532725 | + | 0.922707i | ||||
\(804\) | −139.598 | + | 65.8353i | −0.00612344 | + | 0.00288785i | ||||
\(805\) | −369.161 | + | 3800.41i | −0.0161630 | + | 0.166394i | ||||
\(806\) | 12120.9 | + | 7684.89i | 0.529702 | + | 0.335842i | ||||
\(807\) | −186.461 | − | 107.653i | −0.00813351 | − | 0.00469588i | ||||
\(808\) | −27288.1 | + | 11511.9i | −1.18811 | + | 0.501224i | ||||
\(809\) | 18106.2 | + | 31360.8i | 0.786871 | + | 1.36290i | 0.927875 | + | 0.372891i | \(0.121634\pi\) |
−0.141004 | + | 0.990009i | \(0.545033\pi\) | |||||||
\(810\) | 26313.5 | − | 13770.7i | 1.14144 | − | 0.597348i | ||||
\(811\) | −3940.47 | −0.170615 | −0.0853074 | − | 0.996355i | \(-0.527187\pi\) | ||||
−0.0853074 | + | 0.996355i | \(0.527187\pi\) | |||||||
\(812\) | −21925.3 | + | 7850.70i | −0.947569 | + | 0.339292i | ||||
\(813\) | 588.874 | 0.0254031 | ||||||||
\(814\) | −6965.71 | + | 3645.37i | −0.299936 | + | 0.156966i | ||||
\(815\) | 7381.59 | + | 12785.3i | 0.317259 | + | 0.549508i | ||||
\(816\) | 62.0087 | − | 370.459i | 0.00266022 | − | 0.0158930i | ||||
\(817\) | 29103.6 | + | 16803.0i | 1.24628 | + | 0.719538i | ||||
\(818\) | −25165.4 | − | 15955.4i | −1.07566 | − | 0.681989i | ||||
\(819\) | 3170.61 | + | 6972.80i | 0.135275 | + | 0.297496i | ||||
\(820\) | 16506.7 | + | 35001.0i | 0.702974 | + | 1.49060i | ||||
\(821\) | 6397.96 | − | 11081.6i | 0.271973 | − | 0.471072i | −0.697394 | − | 0.716688i | \(-0.745657\pi\) |
0.969367 | + | 0.245616i | \(0.0789904\pi\) | |||||||
\(822\) | −363.134 | − | 15.0647i | −0.0154085 | − | 0.000639224i | ||||
\(823\) | −12548.2 | + | 7244.68i | −0.531472 | + | 0.306845i | −0.741616 | − | 0.670825i | \(-0.765940\pi\) |
0.210144 | + | 0.977671i | \(0.432607\pi\) | |||||||
\(824\) | 1634.35 | − | 2158.91i | 0.0690963 | − | 0.0912733i | ||||
\(825\) | − | 284.009i | − | 0.0119853i | ||||||
\(826\) | −15528.3 | + | 6297.91i | −0.654115 | + | 0.265293i | ||||
\(827\) | − | 42110.7i | − | 1.77066i | −0.464965 | − | 0.885329i | \(-0.653933\pi\) | ||
0.464965 | − | 0.885329i | \(-0.346067\pi\) | |||||||
\(828\) | 255.751 | − | 3077.13i | 0.0107342 | − | 0.129152i | ||||
\(829\) | −19713.8 | + | 11381.8i | −0.825922 | + | 0.476846i | −0.852454 | − | 0.522802i | \(-0.824887\pi\) |
0.0265323 | + | 0.999648i | \(0.491554\pi\) | |||||||
\(830\) | −1335.65 | + | 32195.9i | −0.0558569 | + | 1.34643i | ||||
\(831\) | −340.802 | + | 590.287i | −0.0142266 | + | 0.0246412i | ||||
\(832\) | 1931.64 | − | 7603.95i | 0.0804898 | − | 0.316851i | ||||
\(833\) | −16162.6 | − | 14097.7i | −0.672272 | − | 0.586383i | ||||
\(834\) | −262.213 | + | 413.571i | −0.0108869 | + | 0.0171712i | ||||
\(835\) | −40362.7 | − | 23303.4i | −1.67283 | − | 0.965806i | ||||
\(836\) | −16645.8 | − | 11548.1i | −0.688644 | − | 0.477749i | ||||
\(837\) | −839.057 | − | 1453.29i | −0.0346500 | − | 0.0600156i | ||||
\(838\) | −2941.95 | − | 5621.59i | −0.121274 | − | 0.231736i | ||||
\(839\) | 5492.90 | 0.226026 | 0.113013 | − | 0.993594i | \(-0.463950\pi\) | ||||
0.113013 | + | 0.993594i | \(0.463950\pi\) | |||||||
\(840\) | 384.405 | − | 416.943i | 0.0157896 | − | 0.0171261i | ||||
\(841\) | 317.228 | 0.0130070 | ||||||||
\(842\) | −18888.0 | − | 36092.0i | −0.773069 | − | 1.47721i | ||||
\(843\) | 180.711 | + | 313.001i | 0.00738318 | + | 0.0127880i | ||||
\(844\) | 5011.52 | + | 3476.76i | 0.204388 | + | 0.141795i | ||||
\(845\) | 24500.2 | + | 14145.2i | 0.997433 | + | 0.575868i | ||||
\(846\) | −15321.9 | + | 24166.3i | −0.622670 | + | 0.982097i | ||||
\(847\) | −37.5366 | + | 17.0683i | −0.00152275 | + | 0.000692415i | ||||
\(848\) | 5771.57 | − | 7000.90i | 0.233722 | − | 0.283505i | ||||
\(849\) | −231.909 | + | 401.678i | −0.00937466 | + | 0.0162374i | ||||
\(850\) | 607.479 | − | 14643.3i | 0.0245134 | − | 0.590894i | ||||
\(851\) | 942.737 | − | 544.290i | 0.0379749 | − | 0.0219248i | ||||
\(852\) | −5.12734 | + | 61.6908i | −0.000206173 | + | 0.00248062i | ||||
\(853\) | 14715.4i | 0.590675i | 0.955393 | + | 0.295338i | \(0.0954321\pi\) | ||||
−0.955393 | + | 0.295338i | \(0.904568\pi\) | |||||||
\(854\) | 7951.29 | − | 10205.2i | 0.318603 | − | 0.408915i | ||||
\(855\) | 26989.8i | 1.07957i | ||||||||
\(856\) | 14018.7 | + | 10612.5i | 0.559752 | + | 0.423747i | ||||
\(857\) | 14391.2 | − | 8308.75i | 0.573621 | − | 0.331180i | −0.184973 | − | 0.982744i | \(-0.559220\pi\) |
0.758594 | + | 0.651563i | \(0.225887\pi\) | |||||||
\(858\) | −148.409 | − | 6.15677i | −0.00590512 | − | 0.000244975i | ||||
\(859\) | 11713.7 | − | 20288.7i | 0.465268 | − | 0.805868i | −0.533945 | − | 0.845519i | \(-0.679291\pi\) |
0.999214 | + | 0.0396508i | \(0.0126245\pi\) | |||||||
\(860\) | 23839.1 | + | 50548.7i | 0.945239 | + | 2.00430i | ||||
\(861\) | 580.496 | + | 56.3877i | 0.0229771 | + | 0.00223193i | ||||
\(862\) | 5274.43 | + | 3344.10i | 0.208408 | + | 0.132135i | ||||
\(863\) | 16181.8 | + | 9342.55i | 0.638278 | + | 0.368510i | 0.783951 | − | 0.620823i | \(-0.213201\pi\) |
−0.145673 | + | 0.989333i | \(0.546535\pi\) | |||||||
\(864\) | −612.372 | + | 683.031i | −0.0241126 | + | 0.0268949i | ||||
\(865\) | −358.843 | − | 621.534i | −0.0141052 | − | 0.0244310i | ||||
\(866\) | −32083.0 | + | 16790.0i | −1.25892 | + | 0.658831i | ||||
\(867\) | 94.1675 | 0.00368869 | ||||||||
\(868\) | 37418.7 | + | 31732.6i | 1.46322 | + | 1.24087i | ||||
\(869\) | 23784.8 | 0.928476 | ||||||||
\(870\) | −533.049 | + | 278.961i | −0.0207725 | + | 0.0108709i | ||||
\(871\) | 1574.82 | + | 2727.66i | 0.0612636 | + | 0.106112i | ||||
\(872\) | −11022.4 | − | 26127.7i | −0.428058 | − | 1.01467i | ||||
\(873\) | 9038.98 | + | 5218.66i | 0.350427 | + | 0.202319i | ||||
\(874\) | 2369.11 | + | 1502.06i | 0.0916891 | + | 0.0581328i | ||||
\(875\) | −6540.46 | + | 9153.10i | −0.252695 | + | 0.353636i | ||||
\(876\) | −450.944 | + | 212.668i | −0.0173927 | + | 0.00820250i | ||||
\(877\) | 21490.9 | − | 37223.4i | 0.827477 | − | 1.43323i | −0.0725340 | − | 0.997366i | \(-0.523109\pi\) |
0.900011 | − | 0.435867i | \(-0.143558\pi\) | |||||||
\(878\) | −39000.1 | − | 1617.93i | −1.49908 | − | 0.0621895i | ||||
\(879\) | −560.769 | + | 323.760i | −0.0215180 | + | 0.0124234i | ||||
\(880\) | −11797.9 | − | 31558.8i | −0.451942 | − | 1.20892i | ||||
\(881\) | 36788.9i | 1.40687i | 0.710761 | + | 0.703434i | \(0.248351\pi\) | ||||
−0.710761 | + | 0.703434i | \(0.751649\pi\) | |||||||
\(882\) | 7449.42 | + | 25103.5i | 0.284394 | + | 0.958367i | ||||
\(883\) | − | 6006.92i | − | 0.228934i | −0.993427 | − | 0.114467i | \(-0.963484\pi\) | ||
0.993427 | − | 0.114467i | \(-0.0365161\pi\) | |||||||
\(884\) | −7638.67 | − | 634.877i | −0.290629 | − | 0.0241552i | ||||
\(885\) | −374.898 | + | 216.447i | −0.0142396 | + | 0.00822124i | ||||
\(886\) | 632.310 | − | 15241.8i | 0.0239761 | − | 0.577944i | ||||
\(887\) | −5667.43 | + | 9816.29i | −0.214536 | + | 0.371588i | −0.953129 | − | 0.302564i | \(-0.902157\pi\) |
0.738593 | + | 0.674152i | \(0.235491\pi\) | |||||||
\(888\) | −160.430 | − | 20.0585i | −0.00606270 | − | 0.000758018i | ||||
\(889\) | 1576.03 | − | 2205.59i | 0.0594582 | − | 0.0832094i | ||||
\(890\) | −15917.8 | + | 25106.2i | −0.599514 | + | 0.945573i | ||||
\(891\) | −23029.5 | − | 13296.1i | −0.865901 | − | 0.499928i | ||||
\(892\) | 4633.40 | − | 6678.73i | 0.173921 | − | 0.250696i | ||||
\(893\) | −12997.7 | − | 22512.7i | −0.487068 | − | 0.843627i | ||||
\(894\) | 180.063 | + | 344.072i | 0.00673627 | + | 0.0128719i | ||||
\(895\) | 41975.8 | 1.56770 | ||||||||
\(896\) | 10123.8 | − | 24836.1i | 0.377471 | − | 0.926021i | ||||
\(897\) | 20.5667 | 0.000765553 | ||||||||
\(898\) | 20462.1 | + | 39099.9i | 0.760390 | + | 1.45298i | ||||
\(899\) | −26024.6 | − | 45076.0i | −0.965484 | − | 1.67227i | ||||
\(900\) | −10199.7 | + | 14702.3i | −0.377768 | + | 0.544528i | ||||
\(901\) | −7676.92 | − | 4432.27i | −0.283857 | − | 0.163885i | ||||
\(902\) | 18553.8 | − | 29263.8i | 0.684895 | − | 1.08024i | ||||
\(903\) | 838.356 | + | 81.4355i | 0.0308956 | + | 0.00300111i | ||||
\(904\) | −25859.0 | − | 3233.15i | −0.951392 | − | 0.118952i | ||||
\(905\) | 7724.15 | − | 13378.6i | 0.283712 | − | 0.491404i | ||||
\(906\) | 26.2761 | − | 633.384i | 0.000963537 | − | 0.0232260i | ||||
\(907\) | 23176.8 | − | 13381.1i | 0.848482 | − | 0.489871i | −0.0116566 | − | 0.999932i | \(-0.503711\pi\) |
0.860138 | + | 0.510061i | \(0.170377\pi\) | |||||||
\(908\) | −9086.74 | − | 755.231i | −0.332108 | − | 0.0276027i | ||||
\(909\) | − | 35328.7i | − | 1.28908i | ||||||
\(910\) | −9128.91 | − | 7112.73i | −0.332550 | − | 0.259104i | ||||
\(911\) | − | 26600.8i | − | 0.967425i | −0.875227 | − | 0.483712i | \(-0.839288\pi\) | ||
0.875227 | − | 0.483712i | \(-0.160712\pi\) | |||||||
\(912\) | −145.891 | − | 390.251i | −0.00529708 | − | 0.0141694i | ||||
\(913\) | 24987.1 | − | 14426.3i | 0.905753 | − | 0.522937i | ||||
\(914\) | −15451.4 | − | 641.003i | −0.559174 | − | 0.0231975i | ||||
\(915\) | 167.108 | − | 289.439i | 0.00603761 | − | 0.0104574i | ||||
\(916\) | −24735.9 | + | 11665.6i | −0.892245 | + | 0.420788i | ||||
\(917\) | −24018.5 | + | 10921.5i | −0.864953 | + | 0.393305i | ||||
\(918\) | 756.933 | + | 479.912i | 0.0272141 | + | 0.0172543i | ||||
\(919\) | 32169.8 | + | 18573.2i | 1.15472 | + | 0.666675i | 0.950032 | − | 0.312153i | \(-0.101050\pi\) |
0.204684 | + | 0.978828i | \(0.434383\pi\) | |||||||
\(920\) | 1813.29 | + | 4298.24i | 0.0649808 | + | 0.154031i | ||||
\(921\) | −352.567 | − | 610.664i | −0.0126140 | − | 0.0218481i | ||||
\(922\) | 36953.7 | − | 19339.0i | 1.31996 | − | 0.690777i | ||||
\(923\) | 1263.24 | 0.0450489 | ||||||||
\(924\) | −499.599 | − | 90.7859i | −0.0177874 | − | 0.00323229i | ||||
\(925\) | −6308.47 | −0.224239 | ||||||||
\(926\) | −21328.1 | + | 11161.6i | −0.756895 | + | 0.396106i | ||||
\(927\) | 1614.98 | + | 2797.23i | 0.0572201 | + | 0.0991081i | ||||
\(928\) | −18993.6 | + | 21185.3i | −0.671872 | + | 0.749397i | ||||
\(929\) | 8412.37 | + | 4856.89i | 0.297095 | + | 0.171528i | 0.641137 | − | 0.767426i | \(-0.278463\pi\) |
−0.344042 | + | 0.938954i | \(0.611796\pi\) | |||||||
\(930\) | 1070.45 | + | 678.689i | 0.0377435 | + | 0.0239302i | ||||
\(931\) | −23344.3 | − | 4578.40i | −0.821782 | − | 0.161172i | ||||
\(932\) | −9132.34 | − | 19364.3i | −0.320966 | − | 0.680579i | ||||
\(933\) | −36.0068 | + | 62.3656i | −0.00126346 | + | 0.00218838i | ||||
\(934\) | 44527.0 | + | 1847.21i | 1.55992 | + | 0.0647138i | ||||
\(935\) | −28507.0 | + | 16458.5i | −0.997089 | + | 0.575670i | ||||
\(936\) | 7461.55 | + | 5648.59i | 0.260565 | + | 0.197254i | ||||
\(937\) | − | 26889.4i | − | 0.937501i | −0.883331 | − | 0.468750i | \(-0.844704\pi\) | ||
0.883331 | − | 0.468750i | \(-0.155296\pi\) | |||||||
\(938\) | 4046.76 | + | 9977.81i | 0.140865 | + | 0.347321i | ||||
\(939\) | − | 266.664i | − | 0.00926756i | ||||||
\(940\) | 3580.76 | − | 43082.8i | 0.124246 | − | 1.49490i | ||||
\(941\) | −30074.6 | + | 17363.6i | −1.04188 | + | 0.601527i | −0.920364 | − | 0.391063i | \(-0.872107\pi\) |
−0.121511 | + | 0.992590i | \(0.538774\pi\) | |||||||
\(942\) | −24.3460 | + | 586.858i | −0.000842074 | + | 0.0202982i | ||||
\(943\) | −2398.85 | + | 4154.93i | −0.0828391 | + | 0.143481i | ||||
\(944\) | −13023.0 | + | 15796.9i | −0.449007 | + | 0.544646i | ||||
\(945\) | 560.115 | + | 1231.80i | 0.0192810 | + | 0.0424027i | ||||
\(946\) | 26795.6 | − | 42262.9i | 0.920930 | − | 1.45252i | ||||
\(947\) | 21993.8 | + | 12698.1i | 0.754702 | + | 0.435727i | 0.827390 | − | 0.561628i | \(-0.189825\pi\) |
−0.0726886 | + | 0.997355i | \(0.523158\pi\) | |||||||
\(948\) | 401.888 | + | 278.811i | 0.0137687 | + | 0.00955207i | ||||
\(949\) | 5087.14 | + | 8811.18i | 0.174010 | + | 0.301394i | ||||
\(950\) | −7537.60 | − | 14403.1i | −0.257423 | − | 0.491894i | ||||
\(951\) | −536.859 | −0.0183058 | ||||||||
\(952\) | −25564.7 | − | 5749.47i | −0.870334 | − | 0.195737i | ||||
\(953\) | −23212.4 | −0.789005 | −0.394503 | − | 0.918895i | \(-0.629083\pi\) | ||||
−0.394503 | + | 0.918895i | \(0.629083\pi\) | |||||||
\(954\) | 5018.36 | + | 9589.28i | 0.170310 | + | 0.325434i | ||||
\(955\) | −22111.2 | − | 38297.7i | −0.749215 | − | 1.29768i | ||||
\(956\) | −4912.82 | − | 3408.29i | −0.166205 | − | 0.115305i | ||||
\(957\) | 466.523 | + | 269.347i | 0.0157581 | + | 0.00909797i | ||||
\(958\) | 21878.1 | − | 34507.0i | 0.737840 | − | 1.16375i | ||||
\(959\) | −2451.33 | + | 25235.8i | −0.0825418 | + | 0.849745i | ||||
\(960\) | 170.592 | − | 671.541i | 0.00573525 | − | 0.0225770i | ||||
\(961\) | −39931.3 | + | 69163.1i | −1.34038 | + | 2.32161i | ||||
\(962\) | −136.756 | + | 3296.49i | −0.00458335 | + | 0.110482i | ||||
\(963\) | −18163.5 | + | 10486.7i | −0.607801 | + | 0.350914i | ||||
\(964\) | −1136.37 | + | 13672.5i | −0.0379669 | + | 0.456808i | ||||
\(965\) | 15574.3i | 0.519539i | ||||||||
\(966\) | 69.6371 | + | 9.69232i | 0.00231940 | + | 0.000322821i | ||||
\(967\) | 57399.1i | 1.90882i | 0.298494 | + | 0.954412i | \(0.403516\pi\) | ||||
−0.298494 | + | 0.954412i | \(0.596484\pi\) | |||||||
\(968\) | −30.4080 | + | 40.1677i | −0.00100966 | + | 0.00133372i | ||||
\(969\) | −352.512 | + | 203.523i | −0.0116866 | + | 0.00674727i | ||||
\(970\) | −15755.5 | − | 653.622i | −0.521526 | − | 0.0216356i | ||||
\(971\) | 5194.04 | − | 8996.34i | 0.171663 | − | 0.297329i | −0.767338 | − | 0.641242i | \(-0.778419\pi\) |
0.939001 | + | 0.343913i | \(0.111753\pi\) | |||||||
\(972\) | −700.177 | − | 1484.66i | −0.0231051 | − | 0.0489924i | ||||
\(973\) | 27794.7 | + | 19861.0i | 0.915783 | + | 0.654383i | ||||
\(974\) | 18172.6 | + | 11521.8i | 0.597832 | + | 0.379038i | ||||
\(975\) | −103.219 | − | 59.5934i | −0.00339041 | − | 0.00195745i | ||||
\(976\) | 2609.37 | − | 15589.2i | 0.0855779 | − | 0.511269i | ||||
\(977\) | −23494.7 | − | 40694.1i | −0.769358 | − | 1.33257i | −0.937911 | − | 0.346875i | \(-0.887243\pi\) |
0.168553 | − | 0.985693i | \(-0.446091\pi\) | |||||||
\(978\) | 240.854 | − | 126.046i | 0.00787491 | − | 0.00412118i | ||||
\(979\) | 26617.3 | 0.868940 | ||||||||
\(980\) | −27557.8 | − | 28385.3i | −0.898268 | − | 0.925239i | ||||
\(981\) | 33826.4 | 1.10091 | ||||||||
\(982\) | −18849.8 | + | 9864.68i | −0.612547 | + | 0.320565i | ||||
\(983\) | 8426.43 | + | 14595.0i | 0.273409 | + | 0.473559i | 0.969733 | − | 0.244170i | \(-0.0785154\pi\) |
−0.696323 | + | 0.717728i | \(0.745182\pi\) | |||||||
\(984\) | 656.537 | − | 276.972i | 0.0212699 | − | 0.00897310i | ||||
\(985\) | −15080.1 | − | 8706.52i | −0.487810 | − | 0.281637i | ||||
\(986\) | 23477.4 | + | 14885.2i | 0.758290 | + | 0.480772i | ||||
\(987\) | −530.119 | − | 378.803i | −0.0170961 | − | 0.0122162i | ||||
\(988\) | −7689.76 | + | 3626.54i | −0.247615 | + | 0.116777i | ||||
\(989\) | −3464.43 | + | 6000.57i | −0.111388 | + | 0.192929i | ||||
\(990\) | 40155.1 | + | 1665.84i | 1.28910 | + | 0.0534788i | ||||
\(991\) | 1218.57 | − | 703.544i | 0.0390608 | − | 0.0225518i | −0.480342 | − | 0.877081i | \(-0.659488\pi\) |
0.519403 | + | 0.854529i | \(0.326154\pi\) | |||||||
\(992\) | 58659.3 | + | 12337.7i | 1.87745 | + | 0.394883i | ||||
\(993\) | − | 180.692i | − | 0.00577450i | ||||||
\(994\) | 4277.24 | + | 595.321i | 0.136485 | + | 0.0189964i | ||||
\(995\) | − | 29656.3i | − | 0.944893i | ||||||
\(996\) | 591.311 | + | 49.1459i | 0.0188116 | + | 0.00156350i | ||||
\(997\) | 6527.66 | − | 3768.75i | 0.207355 | − | 0.119717i | −0.392726 | − | 0.919655i | \(-0.628468\pi\) |
0.600082 | + | 0.799939i | \(0.295135\pi\) | |||||||
\(998\) | −1672.05 | + | 40304.7i | −0.0530338 | + | 1.27838i | ||||
\(999\) | 192.891 | − | 334.097i | 0.00610891 | − | 0.0105809i |
(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 | 28.4.f.a.19.7 | yes | 20 | |
4.3 | odd | 2 | inner | 28.4.f.a.19.1 | yes | 20 | |
7.2 | even | 3 | 196.4.d.b.195.14 | 20 | |||
7.3 | odd | 6 | inner | 28.4.f.a.3.1 | ✓ | 20 | |
7.4 | even | 3 | 196.4.f.d.31.1 | 20 | |||
7.5 | odd | 6 | 196.4.d.b.195.13 | 20 | |||
7.6 | odd | 2 | 196.4.f.d.19.7 | 20 | |||
8.3 | odd | 2 | 448.4.p.h.383.5 | 20 | |||
8.5 | even | 2 | 448.4.p.h.383.6 | 20 | |||
28.3 | even | 6 | inner | 28.4.f.a.3.7 | yes | 20 | |
28.11 | odd | 6 | 196.4.f.d.31.7 | 20 | |||
28.19 | even | 6 | 196.4.d.b.195.16 | 20 | |||
28.23 | odd | 6 | 196.4.d.b.195.15 | 20 | |||
28.27 | even | 2 | 196.4.f.d.19.1 | 20 | |||
56.3 | even | 6 | 448.4.p.h.255.6 | 20 | |||
56.45 | odd | 6 | 448.4.p.h.255.5 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.4.f.a.3.1 | ✓ | 20 | 7.3 | odd | 6 | inner | |
28.4.f.a.3.7 | yes | 20 | 28.3 | even | 6 | inner | |
28.4.f.a.19.1 | yes | 20 | 4.3 | odd | 2 | inner | |
28.4.f.a.19.7 | yes | 20 | 1.1 | even | 1 | trivial | |
196.4.d.b.195.13 | 20 | 7.5 | odd | 6 | |||
196.4.d.b.195.14 | 20 | 7.2 | even | 3 | |||
196.4.d.b.195.15 | 20 | 28.23 | odd | 6 | |||
196.4.d.b.195.16 | 20 | 28.19 | even | 6 | |||
196.4.f.d.19.1 | 20 | 28.27 | even | 2 | |||
196.4.f.d.19.7 | 20 | 7.6 | odd | 2 | |||
196.4.f.d.31.1 | 20 | 7.4 | even | 3 | |||
196.4.f.d.31.7 | 20 | 28.11 | odd | 6 | |||
448.4.p.h.255.5 | 20 | 56.45 | odd | 6 | |||
448.4.p.h.255.6 | 20 | 56.3 | even | 6 | |||
448.4.p.h.383.5 | 20 | 8.3 | odd | 2 | |||
448.4.p.h.383.6 | 20 | 8.5 | even | 2 |