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: | \( x^{20} - 2 x^{18} - 24 x^{17} + 28 x^{16} + 56 x^{15} - 192 x^{14} + 352 x^{13} - 448 x^{12} + \cdots + 1073741824 \) |
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 | 3.1 | ||
Root | \(1.31147 + 2.50600i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.3 |
Dual form | 28.4.f.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82600 | − | 0.117237i | −0.999141 | − | 0.0414496i | ||||
\(3\) | 0.0469307 | − | 0.0812864i | 0.00903182 | − | 0.0156436i | −0.861474 | − | 0.507801i | \(-0.830458\pi\) |
0.870506 | + | 0.492158i | \(0.163792\pi\) | |||||||
\(4\) | 7.97251 | + | 0.662623i | 0.996564 | + | 0.0828279i | ||||
\(5\) | 12.4861 | − | 7.20883i | 1.11679 | − | 0.644778i | 0.176209 | − | 0.984353i | \(-0.443617\pi\) |
0.940579 | + | 0.339575i | \(0.110283\pi\) | |||||||
\(6\) | −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 | ||||
\(10\) | −36.1307 | + | 18.9083i | −1.14255 | + | 0.597933i | ||||
\(11\) | −31.6215 | − | 18.2567i | −0.866749 | − | 0.500418i | −0.000482758 | − | 1.00000i | \(-0.500154\pi\) |
−0.866267 | + | 0.499582i | \(0.833487\pi\) | |||||||
\(12\) | 0.428018 | − | 0.616959i | 0.0102965 | − | 0.0148417i | ||||
\(13\) | 15.3232i | 0.326914i | 0.986550 | + | 0.163457i | \(0.0522645\pi\) | ||||
−0.986550 | + | 0.163457i | \(0.947735\pi\) | |||||||
\(14\) | −43.8461 | + | 28.6621i | −0.837026 | + | 0.547163i | ||||
\(15\) | − | 1.35326i | − | 0.0232941i | ||||||
\(16\) | 63.1219 | + | 10.5655i | 0.986279 | + | 0.165087i | ||||
\(17\) | −54.1508 | − | 31.2640i | −0.772558 | − | 0.446037i | 0.0612284 | − | 0.998124i | \(-0.480498\pi\) |
−0.833786 | + | 0.552087i | \(0.813832\pi\) | |||||||
\(18\) | −35.3981 | − | 67.6400i | −0.463523 | − | 0.885717i | ||||
\(19\) | 34.6779 | + | 60.0639i | 0.418719 | + | 0.725242i | 0.995811 | − | 0.0914368i | \(-0.0291460\pi\) |
−0.577092 | + | 0.816679i | \(0.695813\pi\) | |||||||
\(20\) | 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 | \(-0.646019\pi\) |
0.555084 | + | 0.831794i | \(0.312686\pi\) | |||||||
\(24\) | −1.28191 | + | 1.69334i | −0.0109028 | + | 0.0144022i | ||||
\(25\) | 41.4345 | − | 71.7667i | 0.331476 | − | 0.574134i | ||||
\(26\) | 1.79644 | − | 43.3032i | 0.0135505 | − | 0.326633i | ||||
\(27\) | 5.06769 | 0.0361214 | ||||||||
\(28\) | 127.269 | − | 75.8587i | 0.858987 | − | 0.511998i | ||||
\(29\) | −157.182 | −1.00648 | −0.503241 | − | 0.864146i | \(-0.667859\pi\) | ||||
−0.503241 | + | 0.864146i | \(0.667859\pi\) | |||||||
\(30\) | −0.158653 | + | 3.82431i | −0.000965529 | + | 0.0232740i | ||||
\(31\) | −165.570 | + | 286.776i | −0.959266 | + | 1.66150i | −0.234977 | + | 0.972001i | \(0.575501\pi\) |
−0.724289 | + | 0.689496i | \(0.757832\pi\) | |||||||
\(32\) | −177.143 | − | 37.2584i | −0.978589 | − | 0.205826i | ||||
\(33\) | −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 | 0.768990 | − | 0.639261i | \(-0.220760\pi\) |
−0.938111 | + | 0.346334i | \(0.887426\pi\) | |||||||
\(38\) | −90.9579 | − | 173.806i | −0.388298 | − | 0.741975i | ||||
\(39\) | 1.24557 | + | 0.719127i | 0.00511410 | + | 0.00295263i | ||||
\(40\) | −300.582 | + | 126.806i | −1.18815 | + | 0.501243i | ||||
\(41\) | 335.509i | 1.27799i | 0.769209 | + | 0.638997i | \(0.220650\pi\) | ||||
−0.769209 | + | 0.638997i | \(0.779350\pi\) | |||||||
\(42\) | 0.272111 | + | 4.90922i | 0.000999706 | + | 0.0180359i | ||||
\(43\) | − | 484.545i | − | 1.71843i | −0.511617 | − | 0.859213i | \(-0.670953\pi\) | ||
0.511617 | − | 0.859213i | \(-0.329047\pi\) | |||||||
\(44\) | −240.006 | − | 166.505i | −0.822323 | − | 0.570490i | ||||
\(45\) | 337.014 | + | 194.575i | 1.11642 | + | 0.644567i | ||||
\(46\) | −35.8352 | + | 18.7536i | −0.114861 | + | 0.0601103i | ||||
\(47\) | 187.406 | + | 324.597i | 0.581617 | + | 1.00739i | 0.995288 | + | 0.0969640i | \(0.0309132\pi\) |
−0.413671 | + | 0.910427i | \(0.635753\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | −10.1535 | + | 122.164i | −0.0270776 | + | 0.325791i | ||||
\(53\) | 70.8847 | − | 122.776i | 0.183712 | − | 0.318199i | −0.759429 | − | 0.650590i | \(-0.774522\pi\) |
0.943142 | + | 0.332390i | \(0.107855\pi\) | |||||||
\(54\) | −14.3213 | − | 0.594121i | −0.0360903 | − | 0.00149722i | ||||
\(55\) | −526.438 | −1.29063 | ||||||||
\(56\) | −368.556 | + | 199.456i | −0.879471 | + | 0.475953i | ||||
\(57\) | 6.50983 | 0.0151272 | ||||||||
\(58\) | 444.196 | + | 18.4276i | 1.00562 | + | 0.0417183i | ||||
\(59\) | 159.945 | − | 277.033i | 0.352933 | − | 0.611298i | −0.633829 | − | 0.773473i | \(-0.718518\pi\) |
0.986762 | + | 0.162175i | \(0.0518510\pi\) | |||||||
\(60\) | 0.896703 | − | 10.7889i | 0.00192940 | − | 0.0232140i | ||||
\(61\) | 213.882 | − | 123.485i | 0.448932 | − | 0.259191i | −0.258447 | − | 0.966025i | \(-0.583211\pi\) |
0.707379 | + | 0.706835i | \(0.249877\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | 8.58856 | − | 4.49466i | 0.0160179 | − | 0.00838264i | ||||
\(67\) | 178.009 | + | 102.774i | 0.324586 | + | 0.187400i | 0.653435 | − | 0.756983i | \(-0.273327\pi\) |
−0.328849 | + | 0.944383i | \(0.606661\pi\) | |||||||
\(68\) | −411.001 | − | 285.134i | −0.732959 | − | 0.508493i | ||||
\(69\) | − | 1.34219i | − | 0.00234176i | ||||||
\(70\) | −340.845 | + | 673.957i | −0.581982 | + | 1.15076i | ||||
\(71\) | 82.4401i | 0.137801i | 0.997624 | + | 0.0689003i | \(0.0219490\pi\) | ||||
−0.997624 | + | 0.0689003i | \(0.978051\pi\) | |||||||
\(72\) | −237.392 | − | 562.716i | −0.388568 | − | 0.921066i | ||||
\(73\) | −575.023 | − | 331.990i | −0.921937 | − | 0.532280i | −0.0376842 | − | 0.999290i | \(-0.511998\pi\) |
−0.884252 | + | 0.467009i | \(0.845331\pi\) | |||||||
\(74\) | 99.8365 | + | 190.771i | 0.156835 | + | 0.299686i | ||||
\(75\) | −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 | \(-0.820199\pi\) |
0.0412508 | + | 0.999149i | \(0.486866\pi\) | |||||||
\(80\) | 864.309 | − | 323.113i | 1.20791 | − | 0.451564i | ||||
\(81\) | −364.143 | + | 630.715i | −0.499511 | + | 0.865178i | ||||
\(82\) | 39.3341 | − | 948.148i | 0.0529723 | − | 1.27690i | ||||
\(83\) | −790.194 | −1.04500 | −0.522500 | − | 0.852639i | \(-0.675001\pi\) | ||||
−0.522500 | + | 0.852639i | \(0.675001\pi\) | |||||||
\(84\) | −0.193442 | − | 13.9054i | −0.000251264 | − | 0.0180619i | ||||
\(85\) | −901.506 | −1.15038 | ||||||||
\(86\) | −56.8066 | + | 1369.32i | −0.0712281 | + | 1.71695i | ||||
\(87\) | −7.37667 | + | 12.7768i | −0.00909037 | + | 0.0157450i | ||||
\(88\) | 658.734 | + | 498.679i | 0.797969 | + | 0.604084i | ||||
\(89\) | 631.309 | − | 364.487i | 0.751895 | − | 0.434107i | −0.0744832 | − | 0.997222i | \(-0.523731\pi\) |
0.826378 | + | 0.563115i | \(0.190397\pi\) | |||||||
\(90\) | −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 | ||||
\(94\) | −491.555 | − | 939.281i | −0.539361 | − | 1.03063i | ||||
\(95\) | 865.981 | + | 499.974i | 0.935240 | + | 0.539961i | ||||
\(96\) | −11.3421 | + | 12.6508i | −0.0120583 | + | 0.0134496i | ||||
\(97\) | − | 386.693i | − | 0.404771i | −0.979306 | − | 0.202385i | \(-0.935131\pi\) | ||
0.979306 | − | 0.202385i | \(-0.0648694\pi\) | |||||||
\(98\) | −352.082 | + | 904.008i | −0.362914 | + | 0.931822i | ||||
\(99\) | − | 985.539i | − | 1.00051i | ||||||
\(100\) | 377.892 | − | 544.706i | 0.377892 | − | 0.544706i | ||||
\(101\) | 1133.54 | + | 654.448i | 1.11674 | + | 0.644753i | 0.940568 | − | 0.339606i | \(-0.110294\pi\) |
0.176176 | + | 0.984359i | \(0.443627\pi\) | |||||||
\(102\) | 14.7076 | − | 7.69695i | 0.0142772 | − | 0.00747168i | ||||
\(103\) | 59.8337 | + | 103.635i | 0.0572388 | + | 0.0991405i | 0.893225 | − | 0.449610i | \(-0.148437\pi\) |
−0.835986 | + | 0.548750i | \(0.815104\pi\) | |||||||
\(104\) | 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 | \(-0.552499\pi\) |
0.772182 | + | 0.635401i | \(0.219165\pi\) | |||||||
\(108\) | 40.4022 | + | 3.35797i | 0.0359973 | + | 0.00299186i | ||||
\(109\) | 626.620 | − | 1085.34i | 0.550636 | − | 0.953729i | −0.447593 | − | 0.894237i | \(-0.647719\pi\) |
0.998229 | − | 0.0594916i | \(-0.0189480\pi\) | |||||||
\(110\) | 1487.71 | + | 61.7180i | 1.28952 | + | 0.0534962i | ||||
\(111\) | −7.14527 | −0.00610990 | ||||||||
\(112\) | 1064.92 | − | 520.453i | 0.898443 | − | 0.439091i | ||||
\(113\) | 1151.72 | 0.958799 | 0.479400 | − | 0.877597i | \(-0.340854\pi\) | ||||
0.479400 | + | 0.877597i | \(0.340854\pi\) | |||||||
\(114\) | −18.3968 | − | 0.763194i | −0.0151142 | − | 0.000627015i | ||||
\(115\) | 103.084 | − | 178.547i | 0.0835885 | − | 0.144779i | ||||
\(116\) | −1253.14 | − | 104.153i | −1.00302 | − | 0.0833648i | ||||
\(117\) | −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 | ||||
\(122\) | −618.908 | + | 323.893i | −0.459289 | + | 0.240360i | ||||
\(123\) | 27.2723 | + | 15.7457i | 0.0199924 | + | 0.0115426i | ||||
\(124\) | −1510.03 | + | 2176.61i | −1.09359 | + | 1.57633i | ||||
\(125\) | 607.429i | 0.434641i | ||||||||
\(126\) | −1261.71 | − | 638.093i | −0.892079 | − | 0.451157i | ||||
\(127\) | 146.370i | 0.102270i | 0.998692 | + | 0.0511348i | \(0.0162838\pi\) | ||||
−0.998692 | + | 0.0511348i | \(0.983716\pi\) | |||||||
\(128\) | −1387.59 | − | 414.422i | −0.958178 | − | 0.286173i | ||||
\(129\) | −39.3869 | − | 22.7400i | −0.0268823 | − | 0.0155205i | ||||
\(130\) | −289.735 | − | 553.637i | −0.195473 | − | 0.373517i | ||||
\(131\) | −712.329 | − | 1233.79i | −0.475088 | − | 0.822876i | 0.524505 | − | 0.851407i | \(-0.324250\pi\) |
−0.999593 | + | 0.0285313i | \(0.990917\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | 1128.06 | + | 853.972i | 0.711252 | + | 0.538437i | ||||
\(137\) | −684.509 | + | 1185.60i | −0.426872 | + | 0.739365i | −0.996593 | − | 0.0824737i | \(-0.973718\pi\) |
0.569721 | + | 0.821838i | \(0.307051\pi\) | |||||||
\(138\) | −0.157355 | + | 3.79303i | −9.70648e−5 | + | 0.00233974i | ||||
\(139\) | 1844.54 | 1.12556 | 0.562778 | − | 0.826608i | \(-0.309733\pi\) | ||||
0.562778 | + | 0.826608i | \(0.309733\pi\) | |||||||
\(140\) | 1042.24 | − | 1864.64i | 0.629181 | − | 1.12565i | ||||
\(141\) | 35.1804 | 0.0210122 | ||||||||
\(142\) | 9.66504 | − | 232.975i | 0.00571177 | − | 0.137682i | ||||
\(143\) | 279.750 | − | 484.542i | 0.163594 | − | 0.283353i | ||||
\(144\) | 604.897 | + | 1618.07i | 0.350056 | + | 0.936380i | ||||
\(145\) | −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 | 0.591849 | − | 0.806049i | \(-0.298398\pi\) |
−0.993983 | + | 0.109531i | \(0.965065\pi\) | |||||||
\(150\) | 10.2009 | + | 19.4922i | 0.00555265 | + | 0.0106102i | ||||
\(151\) | −2067.95 | − | 1193.93i | −1.11448 | − | 0.643447i | −0.174497 | − | 0.984658i | \(-0.555830\pi\) |
−0.939987 | + | 0.341210i | \(0.889163\pi\) | |||||||
\(152\) | −609.995 | − | 1445.94i | −0.325508 | − | 0.771587i | ||||
\(153\) | − | 1687.70i | − | 0.891782i | ||||||
\(154\) | 1909.76 | − | 105.855i | 0.999302 | − | 0.0553898i | ||||
\(155\) | 4774.27i | 2.47405i | ||||||||
\(156\) | 9.45377 | + | 6.55859i | 0.00485197 | + | 0.00336607i | ||||
\(157\) | −1916.04 | − | 1106.23i | −0.973993 | − | 0.562335i | −0.0735417 | − | 0.997292i | \(-0.523430\pi\) |
−0.900451 | + | 0.434957i | \(0.856764\pi\) | |||||||
\(158\) | 1632.41 | − | 854.291i | 0.821948 | − | 0.430150i | ||||
\(159\) | −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 | \(-0.745790\pi\) |
0.271571 | + | 0.962418i | \(0.412457\pi\) | |||||||
\(164\) | −222.316 | + | 2674.85i | −0.105854 | + | 1.27360i | ||||
\(165\) | −24.7061 | + | 42.7922i | −0.0116568 | + | 0.0201901i | ||||
\(166\) | 2233.08 | + | 92.6400i | 1.04410 | + | 0.0433148i | ||||
\(167\) | 3232.62 | 1.49789 | 0.748945 | − | 0.662632i | \(-0.230561\pi\) | ||||
0.748945 | + | 0.662632i | \(0.230561\pi\) | |||||||
\(168\) | −1.08356 | + | 39.3192i | −0.000497609 | + | 0.0180568i | ||||
\(169\) | 1962.20 | 0.893127 | ||||||||
\(170\) | 2547.65 | + | 105.690i | 1.14939 | + | 0.0476827i | ||||
\(171\) | −935.998 | + | 1621.20i | −0.418582 | + | 0.725006i | ||||
\(172\) | 321.071 | − | 3863.04i | 0.142334 | − | 1.71252i | ||||
\(173\) | −43.1092 | + | 24.8891i | −0.0189453 | + | 0.0109381i | −0.509443 | − | 0.860505i | \(-0.670148\pi\) |
0.490497 | + | 0.871443i | \(0.336815\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | −1826.81 | + | 956.025i | −0.769242 | + | 0.402568i | ||||
\(179\) | −2521.36 | − | 1455.71i | −1.05282 | − | 0.607847i | −0.129384 | − | 0.991595i | \(-0.541300\pi\) |
−0.923438 | + | 0.383748i | \(0.874633\pi\) | |||||||
\(180\) | 2557.92 | + | 1774.56i | 1.05920 | + | 0.734823i | ||||
\(181\) | 1071.48i | 0.440015i | 0.975498 | + | 0.220008i | \(0.0706082\pi\) | ||||
−0.975498 | + | 0.220008i | \(0.929392\pi\) | |||||||
\(182\) | −439.195 | − | 671.862i | −0.178875 | − | 0.273636i | ||||
\(183\) | − | 23.1810i | − | 0.00936386i | ||||||
\(184\) | −298.123 | + | 125.768i | −0.119445 | + | 0.0503901i | ||||
\(185\) | −950.512 | − | 548.778i | −0.377746 | − | 0.218092i | ||||
\(186\) | −40.7621 | − | 77.8897i | −0.0160689 | − | 0.0307051i | ||||
\(187\) | 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 | \(-0.469333\pi\) |
0.910106 | + | 0.414375i | \(0.136000\pi\) | |||||||
\(192\) | 33.5358 | − | 34.4214i | 0.0126054 | − | 0.0129383i | ||||
\(193\) | 540.113 | − | 935.502i | 0.201441 | − | 0.348906i | −0.747552 | − | 0.664204i | \(-0.768771\pi\) |
0.948993 | + | 0.315297i | \(0.102104\pi\) | |||||||
\(194\) | −45.3348 | + | 1092.79i | −0.0167776 | + | 0.404423i | ||||
\(195\) | 20.7363 | 0.00761516 | ||||||||
\(196\) | 1100.96 | − | 2513.45i | 0.401226 | − | 0.915979i | ||||
\(197\) | −1207.76 | −0.436798 | −0.218399 | − | 0.975860i | \(-0.570083\pi\) | ||||
−0.218399 | + | 0.975860i | \(0.570083\pi\) | |||||||
\(198\) | −115.542 | + | 2785.13i | −0.0414707 | + | 0.999650i | ||||
\(199\) | 1028.47 | − | 1781.36i | 0.366364 | − | 0.634561i | −0.622630 | − | 0.782516i | \(-0.713936\pi\) |
0.988994 | + | 0.147955i | \(0.0472692\pi\) | |||||||
\(200\) | −1131.78 | + | 1495.03i | −0.400145 | + | 0.528574i | ||||
\(201\) | 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 | ||||
\(206\) | −156.940 | − | 299.887i | −0.0530803 | − | 0.101428i | ||||
\(207\) | 334.257 | + | 192.983i | 0.112234 | + | 0.0647985i | ||||
\(208\) | −161.898 | + | 967.227i | −0.0539692 | + | 0.322429i | ||||
\(209\) | − | 2532.41i | − | 0.838138i | ||||||
\(210\) | 38.7874 | + | 59.3353i | 0.0127456 | + | 0.0194977i | ||||
\(211\) | − | 762.431i | − | 0.248758i | −0.992235 | − | 0.124379i | \(-0.960306\pi\) | ||
0.992235 | − | 0.124379i | \(-0.0396938\pi\) | |||||||
\(212\) | 646.483 | − | 931.862i | 0.209437 | − | 0.301889i | ||||
\(213\) | 6.70125 | + | 3.86897i | 0.00215569 | + | 0.00124459i | ||||
\(214\) | −1947.29 | + | 1019.07i | −0.622027 | + | 0.325526i | ||||
\(215\) | −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 | ||||
\(220\) | −4197.03 | − | 348.830i | −1.28620 | − | 0.106900i | ||||
\(221\) | 479.063 | − | 829.762i | 0.145816 | − | 0.252560i | ||||
\(222\) | 20.1925 | + | 0.837691i | 0.00610465 | + | 0.000253253i | ||||
\(223\) | 1016.07 | 0.305118 | 0.152559 | − | 0.988294i | \(-0.451249\pi\) | ||||
0.152559 | + | 0.988294i | \(0.451249\pi\) | |||||||
\(224\) | −3070.48 | + | 1345.95i | −0.915871 | + | 0.401473i | ||||
\(225\) | 2236.74 | 0.662736 | ||||||||
\(226\) | −3254.74 | − | 135.024i | −0.957975 | − | 0.0397418i | ||||
\(227\) | −569.879 | + | 987.060i | −0.166627 | + | 0.288606i | −0.937232 | − | 0.348707i | \(-0.886621\pi\) |
0.770605 | + | 0.637313i | \(0.219954\pi\) | |||||||
\(228\) | 51.8997 | + | 4.31357i | 0.0150752 | + | 0.00125295i | ||||
\(229\) | 2960.58 | − | 1709.29i | 0.854326 | − | 0.493245i | −0.00778216 | − | 0.999970i | \(-0.502477\pi\) |
0.862108 | + | 0.506724i | \(0.169144\pi\) | |||||||
\(230\) | −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 | 0.614277 | − | 0.789090i | \(-0.289448\pi\) |
−0.990511 | + | 0.137435i | \(0.956114\pi\) | |||||||
\(234\) | 1036.46 | − | 542.411i | 0.289553 | − | 0.151532i | ||||
\(235\) | 4679.93 | + | 2701.96i | 1.29909 | + | 0.750028i | ||||
\(236\) | 1458.73 | − | 2102.66i | 0.402353 | − | 0.579965i | ||||
\(237\) | 61.1414i | 0.0167576i | ||||||||
\(238\) | 3270.39 | − | 181.273i | 0.890706 | − | 0.0493705i | ||||
\(239\) | 747.415i | 0.202285i | 0.994872 | + | 0.101143i | \(0.0322499\pi\) | ||||
−0.994872 | + | 0.101143i | \(0.967750\pi\) | |||||||
\(240\) | 14.2979 | − | 85.4204i | 0.00384554 | − | 0.0229744i | ||||
\(241\) | 1485.20 | + | 857.481i | 0.396972 | + | 0.229192i | 0.685176 | − | 0.728377i | \(-0.259725\pi\) |
−0.288205 | + | 0.957569i | \(0.593058\pi\) | |||||||
\(242\) | −2.91996 | − | 5.57957i | −0.000775628 | − | 0.00148210i | ||||
\(243\) | 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 | ||||
\(248\) | 4522.53 | − | 5974.06i | 1.15799 | − | 1.52965i | ||||
\(249\) | −37.0843 | + | 64.2320i | −0.00943825 | + | 0.0163475i | ||||
\(250\) | 71.2133 | − | 1716.59i | 0.0180157 | − | 0.434268i | ||||
\(251\) | 1604.07 | 0.403379 | 0.201690 | − | 0.979449i | \(-0.435357\pi\) | ||||
0.201690 | + | 0.979449i | \(0.435357\pi\) | |||||||
\(252\) | 3490.78 | + | 1951.17i | 0.872612 | + | 0.487746i | ||||
\(253\) | −522.132 | −0.129748 | ||||||||
\(254\) | 17.1600 | − | 413.641i | 0.00423903 | − | 0.102182i | ||||
\(255\) | −42.3083 | + | 73.2802i | −0.0103900 | + | 0.0179960i | ||||
\(256\) | 3872.74 | + | 1333.83i | 0.945493 | + | 0.325643i | ||||
\(257\) | −4485.57 | + | 2589.74i | −1.08872 | + | 0.628575i | −0.933236 | − | 0.359263i | \(-0.883028\pi\) |
−0.155487 | + | 0.987838i | \(0.549695\pi\) | |||||||
\(258\) | 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 | ||||
\(262\) | 1868.39 | + | 3570.20i | 0.440571 | + | 0.841861i | ||||
\(263\) | −830.165 | − | 479.296i | −0.194639 | − | 0.112375i | 0.399513 | − | 0.916727i | \(-0.369179\pi\) |
−0.594153 | + | 0.804352i | \(0.702513\pi\) | |||||||
\(264\) | 71.4507 | − | 30.1427i | 0.0166571 | − | 0.00702711i | ||||
\(265\) | − | 2043.98i | − | 0.473815i | ||||||
\(266\) | −3242.05 | − | 1639.63i | −0.747304 | − | 0.377940i | ||||
\(267\) | − | 68.4224i | − | 0.0156831i | ||||||
\(268\) | 1351.08 | + | 937.316i | 0.307949 | + | 0.213641i | ||||
\(269\) | 1986.56 | + | 1146.94i | 0.450270 | + | 0.259963i | 0.707944 | − | 0.706268i | \(-0.249623\pi\) |
−0.257674 | + | 0.966232i | \(0.582956\pi\) | |||||||
\(270\) | −183.099 | + | 95.8214i | −0.0412706 | + | 0.0215982i | ||||
\(271\) | 3136.93 | + | 5433.33i | 0.703156 | + | 1.21790i | 0.967353 | + | 0.253433i | \(0.0815596\pi\) |
−0.264197 | + | 0.964469i | \(0.585107\pi\) | |||||||
\(272\) | −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 | ||||
\(276\) | 0.889369 | − | 10.7007i | 0.000193963 | − | 0.00233371i | ||||
\(277\) | −3630.91 | + | 6288.92i | −0.787582 | + | 1.36413i | 0.139863 | + | 0.990171i | \(0.455334\pi\) |
−0.927445 | + | 0.373961i | \(0.878000\pi\) | |||||||
\(278\) | −5212.68 | − | 216.249i | −1.12459 | − | 0.0466538i | ||||
\(279\) | −8937.86 | −1.91791 | ||||||||
\(280\) | −3163.97 | + | 5147.27i | −0.675298 | + | 1.09860i | ||||
\(281\) | −3850.59 | −0.817463 | −0.408732 | − | 0.912655i | \(-0.634029\pi\) | ||||
−0.408732 | + | 0.912655i | \(0.634029\pi\) | |||||||
\(282\) | −99.4197 | − | 4.12445i | −0.0209942 | − | 0.000870949i | ||||
\(283\) | 2470.76 | − | 4279.48i | 0.518980 | − | 0.898899i | −0.480777 | − | 0.876843i | \(-0.659645\pi\) |
0.999757 | − | 0.0220565i | \(-0.00702137\pi\) | |||||||
\(284\) | −54.6267 | + | 657.254i | −0.0114137 | + | 0.137327i | ||||
\(285\) | 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 | ||||
\(290\) | 5679.10 | − | 2972.05i | 1.14996 | − | 0.601809i | ||||
\(291\) | −31.4329 | − | 18.1478i | −0.00633206 | − | 0.00365582i | ||||
\(292\) | −4364.39 | − | 3027.82i | −0.874681 | − | 0.606813i | ||||
\(293\) | 6898.69i | 1.37551i | 0.725941 | + | 0.687757i | \(0.241405\pi\) | ||||
−0.725941 | + | 0.687757i | \(0.758595\pi\) | |||||||
\(294\) | 56.9601 | + | 71.0452i | 0.0112993 | + | 0.0140933i | ||||
\(295\) | − | 4612.06i | − | 0.910253i | ||||||
\(296\) | 669.538 | + | 1587.08i | 0.131473 | + | 0.311646i | ||||
\(297\) | −160.248 | − | 92.5192i | −0.0313082 | − | 0.0180758i | ||||
\(298\) | 1918.40 | + | 3665.75i | 0.372919 | + | 0.712587i | ||||
\(299\) | 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 | ||||
\(304\) | 1554.33 | + | 4157.74i | 0.293246 | + | 0.784416i | ||||
\(305\) | 1780.37 | − | 3083.69i | 0.334241 | − | 0.578922i | ||||
\(306\) | −197.861 | + | 4769.44i | −0.0369640 | + | 0.891016i | ||||
\(307\) | −7512.51 | −1.39662 | −0.698308 | − | 0.715797i | \(-0.746064\pi\) | ||||
−0.698308 | + | 0.715797i | \(0.746064\pi\) | |||||||
\(308\) | −5409.37 | + | 75.2515i | −1.00074 | + | 0.0139216i | ||||
\(309\) | 11.2322 | 0.00206788 | ||||||||
\(310\) | 559.721 | − | 13492.1i | 0.102548 | − | 2.47193i | ||||
\(311\) | 383.616 | − | 664.443i | 0.0699450 | − | 0.121148i | −0.828932 | − | 0.559350i | \(-0.811051\pi\) |
0.898877 | + | 0.438201i | \(0.144384\pi\) | |||||||
\(312\) | −25.9474 | − | 19.6429i | −0.00470828 | − | 0.00356429i | ||||
\(313\) | 2460.41 | − | 1420.52i | 0.444315 | − | 0.256525i | −0.261111 | − | 0.965309i | \(-0.584089\pi\) |
0.705426 | + | 0.708783i | \(0.250756\pi\) | |||||||
\(314\) | 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 | 0.999970 | + | 0.00775892i | \(0.00246977\pi\) |
−0.493266 | + | 0.869879i | \(0.664197\pi\) | |||||||
\(318\) | 17.4513 | + | 33.3466i | 0.00307742 | + | 0.00588045i | ||||
\(319\) | 4970.34 | + | 2869.63i | 0.872368 | + | 0.503662i | ||||
\(320\) | 7104.81 | − | 2003.31i | 1.24116 | − | 0.349964i | ||||
\(321\) | − | 72.9348i | − | 0.0126817i | ||||||
\(322\) | −338.057 | + | 668.444i | −0.0585068 | + | 0.115686i | ||||
\(323\) | − | 4336.67i | − | 0.747056i | ||||||
\(324\) | −3321.06 | + | 4787.09i | −0.569455 | + | 0.820831i | ||||
\(325\) | 1099.69 | + | 634.909i | 0.187693 | + | 0.108364i | ||||
\(326\) | 2566.06 | − | 1342.90i | 0.435954 | − | 0.228148i | ||||
\(327\) | −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 | \(-0.717764\pi\) |
0.355148 | + | 0.934810i | \(0.384430\pi\) | |||||||
\(332\) | −6299.83 | − | 523.601i | −1.04141 | − | 0.0865552i | ||||
\(333\) | 1027.36 | − | 1779.44i | 0.169066 | − | 0.292832i | ||||
\(334\) | −9135.37 | − | 378.983i | −1.49660 | − | 0.0620869i | ||||
\(335\) | 2963.51 | 0.483325 | ||||||||
\(336\) | 7.67180 | − | 110.989i | 0.00124563 | − | 0.0180206i | ||||
\(337\) | 4006.13 | 0.647561 | 0.323780 | − | 0.946132i | \(-0.395046\pi\) | ||||
0.323780 | + | 0.946132i | \(0.395046\pi\) | |||||||
\(338\) | −5545.17 | − | 230.043i | −0.892360 | − | 0.0370197i | ||||
\(339\) | 54.0508 | − | 93.6188i | 0.00865970 | − | 0.0149990i | ||||
\(340\) | −7187.27 | − | 597.359i | −1.14642 | − | 0.0952834i | ||||
\(341\) | 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 | ||||
\(346\) | 124.744 | − | 65.2825i | 0.0193824 | − | 0.0101434i | ||||
\(347\) | −1679.92 | − | 969.900i | −0.259892 | − | 0.150049i | 0.364393 | − | 0.931245i | \(-0.381276\pi\) |
−0.624285 | + | 0.781196i | \(0.714610\pi\) | |||||||
\(348\) | −67.2767 | + | 96.9749i | −0.0103633 | + | 0.0149379i | ||||
\(349\) | 1677.48i | 0.257288i | 0.991691 | + | 0.128644i | \(0.0410624\pi\) | ||||
−0.991691 | + | 0.128644i | \(0.958938\pi\) | |||||||
\(350\) | 240.244 | + | 4334.30i | 0.0366902 | + | 0.661937i | ||||
\(351\) | 77.6531i | 0.0118086i | ||||||||
\(352\) | 4921.33 | + | 4412.22i | 0.745192 | + | 0.668103i | ||||
\(353\) | 2078.17 | + | 1199.83i | 0.313342 | + | 0.180908i | 0.648421 | − | 0.761282i | \(-0.275430\pi\) |
−0.335079 | + | 0.942190i | \(0.608763\pi\) | |||||||
\(354\) | 39.3772 | + | 75.2435i | 0.00591208 | + | 0.0112970i | ||||
\(355\) | 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 | \(-0.701836\pi\) |
0.401460 | + | 0.915877i | \(0.368503\pi\) | |||||||
\(360\) | −7020.62 | − | 5314.79i | −1.02783 | − | 0.778095i | ||||
\(361\) | 1024.39 | − | 1774.29i | 0.149349 | − | 0.258680i | ||||
\(362\) | 125.618 | − | 3028.01i | 0.0182384 | − | 0.439637i | ||||
\(363\) | 0.208981 | 3.02166e−5 | ||||||||
\(364\) | 1162.40 | + | 1950.17i | 0.167379 | + | 0.280815i | ||||
\(365\) | −9573.04 | −1.37281 | ||||||||
\(366\) | −2.71767 | + | 65.5093i | −0.000388128 | + | 0.00935581i | ||||
\(367\) | −4603.51 | + | 7973.52i | −0.654772 | + | 1.13410i | 0.327179 | + | 0.944962i | \(0.393902\pi\) |
−0.981951 | + | 0.189136i | \(0.939431\pi\) | |||||||
\(368\) | 857.239 | − | 320.470i | 0.121431 | − | 0.0453958i | ||||
\(369\) | −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 | 0.880808 | − | 0.473473i | \(-0.157000\pi\) |
−0.850444 | + | 0.526066i | \(0.823667\pi\) | |||||||
\(374\) | −2994.22 | − | 5721.47i | −0.413977 | − | 0.791043i | ||||
\(375\) | 49.3757 | + | 28.5071i | 0.00679934 | + | 0.00392560i | ||||
\(376\) | −3296.53 | − | 7814.15i | −0.452143 | − | 1.07177i | ||||
\(377\) | − | 2408.53i | − | 0.329033i | ||||||
\(378\) | −222.198 | + | 145.251i | −0.0302345 | + | 0.0197643i | ||||
\(379\) | − | 8880.19i | − | 1.20355i | −0.798667 | − | 0.601774i | \(-0.794461\pi\) | ||
0.798667 | − | 0.601774i | \(-0.205539\pi\) | |||||||
\(380\) | 6572.75 | + | 4559.87i | 0.887302 | + | 0.615570i | ||||
\(381\) | 11.8979 | + | 6.86925i | 0.00159986 | + | 0.000923680i | ||||
\(382\) | −7686.49 | + | 4022.58i | −1.02952 | + | 0.538777i | ||||
\(383\) | 3177.82 | + | 5504.15i | 0.423967 | + | 0.734332i | 0.996323 | − | 0.0856729i | \(-0.0273040\pi\) |
−0.572357 | + | 0.820005i | \(0.693971\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 256.232 | − | 3082.92i | 0.0335263 | − | 0.403380i | ||||
\(389\) | 1433.01 | − | 2482.05i | 0.186778 | − | 0.323509i | −0.757396 | − | 0.652956i | \(-0.773529\pi\) |
0.944174 | + | 0.329446i | \(0.106862\pi\) | |||||||
\(390\) | −58.6006 | − | 2.43106i | −0.00760861 | − | 0.000315645i | ||||
\(391\) | −894.133 | −0.115648 | ||||||||
\(392\) | −3405.99 | + | 6973.92i | −0.438848 | + | 0.898561i | ||||
\(393\) | −133.720 | −0.0171636 | ||||||||
\(394\) | 3413.12 | + | 141.594i | 0.436422 | + | 0.0181051i | ||||
\(395\) | −4695.84 | + | 8133.43i | −0.598160 | + | 1.03604i | ||||
\(396\) | 653.041 | − | 7857.22i | 0.0828701 | − | 0.997072i | ||||
\(397\) | 4872.27 | − | 2813.01i | 0.615951 | − | 0.355619i | −0.159340 | − | 0.987224i | \(-0.550937\pi\) |
0.775291 | + | 0.631604i | \(0.217603\pi\) | |||||||
\(398\) | −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 | 0.961866 | − | 0.273522i | \(-0.0881886\pi\) |
−0.717810 | + | 0.696239i | \(0.754855\pi\) | |||||||
\(402\) | −48.3481 | + | 25.3021i | −0.00599847 | + | 0.00313918i | ||||
\(403\) | −4394.31 | − | 2537.06i | −0.543167 | − | 0.313598i | ||||
\(404\) | 8603.49 | + | 5968.70i | 1.05950 | + | 0.735035i | ||||
\(405\) | 10500.2i | 1.28829i | ||||||||
\(406\) | 6891.83 | − | 4505.18i | 0.842452 | − | 0.550710i | ||||
\(407\) | 2779.61i | 0.338526i | ||||||||
\(408\) | 122.357 | − | 51.6184i | 0.0148470 | − | 0.00626346i | ||||
\(409\) | −9123.48 | − | 5267.45i | −1.10300 | − | 0.636818i | −0.165993 | − | 0.986127i | \(-0.553083\pi\) |
−0.937008 | + | 0.349309i | \(0.886416\pi\) | |||||||
\(410\) | −6343.91 | − | 12122.2i | −0.764155 | − | 1.46018i | ||||
\(411\) | 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 | ||||
\(416\) | 570.917 | − | 2714.40i | 0.0672873 | − | 0.319915i | ||||
\(417\) | 86.5657 | − | 149.936i | 0.0101658 | − | 0.0176077i | ||||
\(418\) | −296.893 | + | 7156.59i | −0.0347405 | + | 0.837417i | ||||
\(419\) | 2243.25 | 0.261551 | 0.130776 | − | 0.991412i | \(-0.458253\pi\) | ||||
0.130776 | + | 0.991412i | \(0.458253\pi\) | |||||||
\(420\) | −102.657 | − | 172.229i | −0.0119265 | − | 0.0200093i | ||||
\(421\) | −14402.2 | −1.66727 | −0.833635 | − | 0.552316i | \(-0.813744\pi\) | ||||
−0.833635 | + | 0.552316i | \(0.813744\pi\) | |||||||
\(422\) | −89.3852 | + | 2154.63i | −0.0103109 | + | 0.248544i | ||||
\(423\) | −5058.32 | + | 8761.26i | −0.581427 | + | 1.00706i | ||||
\(424\) | −1936.21 | + | 2557.65i | −0.221770 | + | 0.292949i | ||||
\(425\) | −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 | ||||
\(430\) | 9161.92 | + | 17506.9i | 1.02750 | + | 1.96339i | ||||
\(431\) | −1912.19 | − | 1104.01i | −0.213706 | − | 0.123383i | 0.389327 | − | 0.921100i | \(-0.372708\pi\) |
−0.603032 | + | 0.797717i | \(0.706041\pi\) | |||||||
\(432\) | 319.882 | + | 53.5429i | 0.0356258 | + | 0.00596315i | ||||
\(433\) | − | 12802.5i | − | 1.42089i | −0.703751 | − | 0.710446i | \(-0.748493\pi\) | ||
0.703751 | − | 0.710446i | \(-0.251507\pi\) | |||||||
\(434\) | −959.999 | − | 17319.6i | −0.106178 | − | 1.91559i | ||||
\(435\) | 212.709i | 0.0234451i | ||||||||
\(436\) | 5714.90 | − | 8237.65i | 0.627739 | − | 0.904844i | ||||
\(437\) | 858.898 | + | 495.885i | 0.0940198 | + | 0.0542824i | ||||
\(438\) | 156.179 | − | 81.7334i | 0.0170377 | − | 0.00891637i | ||||
\(439\) | 6900.24 | + | 11951.6i | 0.750183 | + | 1.29936i | 0.947734 | + | 0.319062i | \(0.103368\pi\) |
−0.197551 | + | 0.980293i | \(0.563299\pi\) | |||||||
\(440\) | 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 | \(-0.573271\pi\) |
0.729104 | + | 0.684403i | \(0.239937\pi\) | |||||||
\(444\) | −56.9658 | − | 4.73462i | −0.00608891 | − | 0.000506071i | ||||
\(445\) | 5255.05 | − | 9102.01i | 0.559805 | − | 0.969610i | ||||
\(446\) | −2871.42 | − | 119.121i | −0.304855 | − | 0.0126470i | ||||
\(447\) | −137.299 | −0.0145280 | ||||||||
\(448\) | 8834.96 | − | 3443.67i | 0.931725 | − | 0.363166i | ||||
\(449\) | 15602.5 | 1.63992 | 0.819962 | − | 0.572417i | \(-0.193994\pi\) | ||||
0.819962 | + | 0.572417i | \(0.193994\pi\) | |||||||
\(450\) | −6321.01 | − | 262.228i | −0.662167 | − | 0.0274701i | ||||
\(451\) | 6125.29 | − | 10609.3i | 0.639531 | − | 1.10770i | ||||
\(452\) | 9182.07 | + | 763.154i | 0.955505 | + | 0.0794153i | ||||
\(453\) | −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 | 0.691514 | − | 0.722363i | \(-0.256944\pi\) |
−0.971342 | + | 0.237687i | \(0.923611\pi\) | |||||||
\(458\) | −8566.98 | + | 4483.36i | −0.874037 | + | 0.457410i | ||||
\(459\) | −274.419 | − | 158.436i | −0.0279059 | − | 0.0161115i | ||||
\(460\) | 940.151 | − | 1355.17i | 0.0952930 | − | 0.137359i | ||||
\(461\) | 14746.1i | 1.48979i | 0.667182 | + | 0.744895i | \(0.267500\pi\) | ||||
−0.667182 | + | 0.744895i | \(0.732500\pi\) | |||||||
\(462\) | 81.0216 | − | 160.205i | 0.00815902 | − | 0.0161329i | ||||
\(463\) | 8510.80i | 0.854278i | 0.904186 | + | 0.427139i | \(0.140478\pi\) | ||||
−0.904186 | + | 0.427139i | \(0.859522\pi\) | |||||||
\(464\) | −9921.63 | − | 1660.71i | −0.992673 | − | 0.166157i | ||||
\(465\) | 388.083 | + | 224.060i | 0.0387030 | + | 0.0223452i | ||||
\(466\) | 3509.77 | + | 6706.61i | 0.348899 | + | 0.666690i | ||||
\(467\) | −7878.11 | − | 13645.3i | −0.780632 | − | 1.35209i | −0.931574 | − | 0.363552i | \(-0.881564\pi\) |
0.150942 | − | 0.988543i | \(-0.451769\pi\) | |||||||
\(468\) | −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 | ||||
\(472\) | −4368.88 | + | 5771.10i | −0.426046 | + | 0.562789i | ||||
\(473\) | −8846.18 | + | 15322.0i | −0.859932 | + | 1.48945i | ||||
\(474\) | 7.16804 | − | 172.785i | 0.000694597 | − | 0.0167432i | ||||
\(475\) | 5747.45 | 0.555182 | ||||||||
\(476\) | −9263.37 | + | 128.866i | −0.891987 | + | 0.0124087i | ||||
\(477\) | 3826.52 | 0.367305 | ||||||||
\(478\) | 87.6247 | − | 2112.19i | 0.00838465 | − | 0.202112i | ||||
\(479\) | 7222.76 | − | 12510.2i | 0.688969 | − | 1.19333i | −0.283202 | − | 0.959060i | \(-0.591397\pi\) |
0.972172 | − | 0.234270i | \(-0.0752698\pi\) | |||||||
\(480\) | −50.4204 | + | 239.722i | −0.00479451 | + | 0.0227953i | ||||
\(481\) | 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 | ||||
\(486\) | −269.094 | − | 514.196i | −0.0251160 | − | 0.0479926i | ||||
\(487\) | −6588.32 | − | 3803.77i | −0.613029 | − | 0.353933i | 0.161121 | − | 0.986935i | \(-0.448489\pi\) |
−0.774150 | + | 0.633002i | \(0.781822\pi\) | |||||||
\(488\) | −5148.87 | + | 2172.14i | −0.477620 | + | 0.201492i | ||||
\(489\) | 96.1108i | 0.00888810i | ||||||||
\(490\) | 2120.73 | + | 13825.6i | 0.195520 | + | 1.27465i | ||||
\(491\) | 7521.86i | 0.691358i | 0.938353 | + | 0.345679i | \(0.112351\pi\) | ||||
−0.938353 | + | 0.345679i | \(0.887649\pi\) | |||||||
\(492\) | 206.995 | + | 143.604i | 0.0189676 | + | 0.0131589i | ||||
\(493\) | 8511.53 | + | 4914.13i | 0.777566 | + | 0.448928i | ||||
\(494\) | 2663.26 | − | 1393.76i | 0.242562 | − | 0.126940i | ||||
\(495\) | −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 | \(-0.887624\pi\) |
−0.169734 | + | 0.985490i | \(0.554291\pi\) | |||||||
\(500\) | −402.497 | + | 4842.74i | −0.0360004 | + | 0.433148i | ||||
\(501\) | 151.709 | − | 262.768i | 0.0135287 | − | 0.0234323i | ||||
\(502\) | −4533.10 | − | 188.057i | −0.403032 | − | 0.0167199i | ||||
\(503\) | 3887.75 | 0.344625 | 0.172312 | − | 0.985042i | \(-0.444876\pi\) | ||||
0.172312 | + | 0.985042i | \(0.444876\pi\) | |||||||
\(504\) | −9636.17 | − | 5923.24i | −0.851645 | − | 0.523496i | ||||
\(505\) | 18871.2 | 1.66289 | ||||||||
\(506\) | 1475.54 | + | 61.2132i | 0.129636 | + | 0.00537798i | ||||
\(507\) | 92.0874 | − | 159.500i | 0.00806656 | − | 0.0139717i | ||||
\(508\) | −96.9882 | + | 1166.94i | −0.00847078 | + | 0.101918i | ||||
\(509\) | −14200.0 | + | 8198.40i | −1.23655 | + | 0.713924i | −0.968388 | − | 0.249448i | \(-0.919751\pi\) |
−0.268165 | + | 0.963373i | \(0.586417\pi\) | |||||||
\(510\) | 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 | ||||
\(514\) | 12979.8 | − | 6792.73i | 1.11384 | − | 0.582907i | ||||
\(515\) | 1494.18 | + | 862.663i | 0.127847 | + | 0.0738126i | ||||
\(516\) | −298.944 | − | 207.394i | −0.0255044 | − | 0.0176938i | ||||
\(517\) | − | 13685.7i | − | 1.16421i | ||||||
\(518\) | 3558.51 | + | 1799.67i | 0.301838 | + | 0.152651i | ||||
\(519\) | 4.67225i | 0.000395162i | ||||||||
\(520\) | −1943.06 | − | 4605.87i | −0.163864 | − | 0.388424i | ||||
\(521\) | −3203.82 | − | 1849.73i | −0.269409 | − | 0.155543i | 0.359210 | − | 0.933257i | \(-0.383046\pi\) |
−0.628619 | + | 0.777713i | \(0.716379\pi\) | |||||||
\(522\) | 5563.95 | + | 10631.8i | 0.466527 | + | 0.891458i | ||||
\(523\) | 4152.31 | + | 7192.01i | 0.347166 | + | 0.601309i | 0.985745 | − | 0.168247i | \(-0.0538107\pi\) |
−0.638579 | + | 0.769556i | \(0.720477\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | −205.453 | + | 76.8066i | −0.0169341 | + | 0.00633064i | ||||
\(529\) | −5981.26 | + | 10359.8i | −0.491597 | + | 0.851471i | ||||
\(530\) | −239.631 | + | 5776.29i | −0.0196394 | + | 0.473407i | ||||
\(531\) | 8634.20 | 0.705636 | ||||||||
\(532\) | 8969.80 | + | 5013.67i | 0.730996 | + | 0.408590i | ||||
\(533\) | −5141.07 | −0.417794 | ||||||||
\(534\) | −8.02165 | + | 193.362i | −0.000650058 | + | 0.0156696i | ||||
\(535\) | 5601.61 | − | 9702.28i | 0.452671 | − | 0.784049i | ||||
\(536\) | −3708.25 | − | 2807.25i | −0.298829 | − | 0.226221i | ||||
\(537\) | −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 | 0.993289 | − | 0.115662i | \(-0.0368990\pi\) |
−0.596811 | + | 0.802382i | \(0.703566\pi\) | |||||||
\(542\) | −8227.98 | − | 15722.3i | −0.652070 | − | 1.24600i | ||||
\(543\) | 87.0970 | + | 50.2855i | 0.00688341 | + | 0.00397414i | ||||
\(544\) | 8427.61 | + | 7555.78i | 0.664211 | + | 0.595499i | ||||
\(545\) | − | 18068.8i | − | 1.42015i | ||||||
\(546\) | −75.2249 | + | 4.16961i | −0.00589621 | + | 0.000326818i | ||||
\(547\) | 8278.49i | 0.647098i | 0.946211 | + | 0.323549i | \(0.104876\pi\) | ||||
−0.946211 | + | 0.323549i | \(0.895124\pi\) | |||||||
\(548\) | −6242.86 | + | 8998.67i | −0.486646 | + | 0.701467i | ||||
\(549\) | 5772.94 | + | 3333.01i | 0.448785 | + | 0.259106i | ||||
\(550\) | 7582.74 | − | 3968.28i | 0.587871 | − | 0.307651i | ||||
\(551\) | −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 | ||||
\(556\) | 14705.6 | + | 1222.24i | 1.12169 | + | 0.0932274i | ||||
\(557\) | 9289.00 | − | 16089.0i | 0.706620 | − | 1.22390i | −0.259483 | − | 0.965748i | \(-0.583552\pi\) |
0.966104 | − | 0.258155i | \(-0.0831144\pi\) | |||||||
\(558\) | 25258.4 | + | 1047.85i | 1.91626 | + | 0.0794964i | ||||
\(559\) | 7424.76 | 0.561778 | ||||||||
\(560\) | 9544.82 | − | 14175.2i | 0.720254 | − | 1.06967i | ||||
\(561\) | 214.295 | 0.0161276 | ||||||||
\(562\) | 10881.8 | + | 451.433i | 0.816761 | + | 0.0338835i | ||||
\(563\) | −5985.39 | + | 10367.0i | −0.448054 | + | 0.776052i | −0.998259 | − | 0.0589776i | \(-0.981216\pi\) |
0.550206 | + | 0.835029i | \(0.314549\pi\) | |||||||
\(564\) | 280.476 | + | 23.3114i | 0.0209400 | + | 0.00174040i | ||||
\(565\) | 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 | 0.514619 | − | 0.857419i | \(-0.327933\pi\) |
−0.999856 | + | 0.0169638i | \(0.994600\pi\) | |||||||
\(570\) | −235.205 | + | 123.090i | −0.0172836 | + | 0.00904503i | ||||
\(571\) | 11143.6 | + | 6433.76i | 0.816717 | + | 0.471532i | 0.849283 | − | 0.527938i | \(-0.177035\pi\) |
−0.0325660 | + | 0.999470i | \(0.510368\pi\) | |||||||
\(572\) | 2551.38 | − | 3677.65i | 0.186501 | − | 0.268829i | ||||
\(573\) | − | 287.895i | − | 0.0209895i | ||||||
\(574\) | −9616.41 | − | 14710.8i | −0.699270 | − | 1.06971i | ||||
\(575\) | − | 1185.01i | − | 0.0859447i | ||||||
\(576\) | 3750.38 | + | 13300.9i | 0.271295 | + | 0.962157i | ||||
\(577\) | −15701.9 | − | 9065.48i | −1.13289 | − | 0.654075i | −0.188230 | − | 0.982125i | \(-0.560275\pi\) |
−0.944660 | + | 0.328050i | \(0.893608\pi\) | |||||||
\(578\) | 1315.75 | + | 2514.18i | 0.0946848 | + | 0.180927i | ||||
\(579\) | −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 | ||||
\(584\) | 11978.8 | + | 9068.27i | 0.848777 | + | 0.642547i | ||||
\(585\) | −2981.51 | + | 5164.12i | −0.210718 | + | 0.364975i | ||||
\(586\) | 808.782 | − | 19495.7i | 0.0570145 | − | 1.37433i | ||||
\(587\) | −24252.4 | −1.70529 | −0.852644 | − | 0.522492i | \(-0.825002\pi\) | ||||
−0.852644 | + | 0.522492i | \(0.825002\pi\) | |||||||
\(588\) | −152.640 | − | 207.451i | −0.0107054 | − | 0.0145496i | ||||
\(589\) | −22966.5 | −1.60665 | ||||||||
\(590\) | −540.705 | + | 13033.7i | −0.0377296 | + | 0.909471i | ||||
\(591\) | −56.6809 | + | 98.1742i | −0.00394508 | + | 0.00683307i | ||||
\(592\) | −1706.05 | − | 4563.58i | −0.118443 | − | 0.316828i | ||||
\(593\) | −6524.07 | + | 3766.67i | −0.451790 | + | 0.260841i | −0.708586 | − | 0.705625i | \(-0.750666\pi\) |
0.256796 | + | 0.966466i | \(0.417333\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | −287.365 | − | 549.109i | −0.0196509 | − | 0.0375497i | ||||
\(599\) | 20430.0 | + | 11795.3i | 1.39357 | + | 0.804578i | 0.993709 | − | 0.111997i | \(-0.0357246\pi\) |
0.399862 | + | 0.916575i | \(0.369058\pi\) | |||||||
\(600\) | 68.4105 | + | 162.161i | 0.00465475 | + | 0.0110337i | ||||
\(601\) | − | 585.188i | − | 0.0397177i | −0.999803 | − | 0.0198588i | \(-0.993678\pi\) | ||
0.999803 | − | 0.0198588i | \(-0.00632168\pi\) | |||||||
\(602\) | 13888.1 | + | 21245.4i | 0.940259 | + | 1.43837i | ||||
\(603\) | 5547.96i | 0.374677i | ||||||||
\(604\) | −15695.6 | − | 10888.9i | −1.05736 | − | 0.733547i | ||||
\(605\) | 27.8000 | + | 16.0503i | 0.00186815 | + | 0.00107858i | ||||
\(606\) | −307.875 | + | 161.120i | −0.0206379 | + | 0.0108004i | ||||
\(607\) | −11750.3 | − | 20352.1i | −0.785715 | − | 1.36090i | −0.928571 | − | 0.371155i | \(-0.878962\pi\) |
0.142856 | − | 0.989744i | \(-0.454371\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | 1118.31 | − | 13455.2i | 0.0738644 | − | 0.888718i | ||||
\(613\) | −2807.61 | + | 4862.93i | −0.184989 | + | 0.320411i | −0.943573 | − | 0.331165i | \(-0.892558\pi\) |
0.758584 | + | 0.651576i | \(0.225892\pi\) | |||||||
\(614\) | 21230.3 | + | 880.744i | 1.39542 | + | 0.0578892i | ||||
\(615\) | 454.032 | 0.0297697 | ||||||||
\(616\) | 15295.7 | + | 421.519i | 1.00046 | + | 0.0275706i | ||||
\(617\) | 18767.7 | 1.22457 | 0.612286 | − | 0.790636i | \(-0.290250\pi\) | ||||
0.612286 | + | 0.790636i | \(0.290250\pi\) | |||||||
\(618\) | −31.7420 | − | 1.31683i | −0.00206610 | − | 8.57128e-5i | ||||
\(619\) | 10954.8 | − | 18974.3i | 0.711325 | − | 1.23205i | −0.253034 | − | 0.967457i | \(-0.581429\pi\) |
0.964360 | − | 0.264594i | \(-0.0852381\pi\) | |||||||
\(620\) | −3163.54 | + | 38062.9i | −0.204921 | + | 2.46555i | ||||
\(621\) | 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 | ||||
\(626\) | −7119.65 | + | 3725.93i | −0.454566 | + | 0.237888i | ||||
\(627\) | −205.851 | − | 118.848i | −0.0131115 | − | 0.00756991i | ||||
\(628\) | −14542.7 | − | 10089.0i | −0.924069 | − | 0.641077i | ||||
\(629\) | 4759.99i | 0.301738i | ||||||||
\(630\) | −20353.7 | + | 1128.17i | −1.28716 | + | 0.0713453i | ||||
\(631\) | − | 6303.66i | − | 0.397694i | −0.980031 | − | 0.198847i | \(-0.936280\pi\) | ||
0.980031 | − | 0.198847i | \(-0.0637197\pi\) | |||||||
\(632\) | 13580.5 | − | 5729.17i | 0.854752 | − | 0.360592i | ||||
\(633\) | −61.9752 | − | 35.7814i | −0.00389146 | − | 0.00224673i | ||||
\(634\) | −7501.21 | − | 14333.6i | −0.469891 | − | 0.897886i | ||||
\(635\) | 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 | ||||
\(640\) | −20313.0 | + | 4828.40i | −1.25460 | + | 0.298218i | ||||
\(641\) | −3879.08 | + | 6718.77i | −0.239024 | + | 0.414002i | −0.960435 | − | 0.278506i | \(-0.910161\pi\) |
0.721410 | + | 0.692508i | \(0.243494\pi\) | |||||||
\(642\) | −8.55067 | + | 206.114i | −0.000525651 | + | 0.0126708i | ||||
\(643\) | 31588.3 | 1.93735 | 0.968677 | − | 0.248323i | \(-0.0798793\pi\) | ||||
0.968677 | + | 0.248323i | \(0.0798793\pi\) | |||||||
\(644\) | 1033.71 | − | 1849.39i | 0.0632517 | − | 0.113162i | ||||
\(645\) | −655.716 | −0.0400291 | ||||||||
\(646\) | −508.419 | + | 12255.4i | −0.0309651 | + | 0.746414i | ||||
\(647\) | −1356.83 | + | 2350.10i | −0.0824461 | + | 0.142801i | −0.904300 | − | 0.426897i | \(-0.859607\pi\) |
0.821854 | + | 0.569698i | \(0.192940\pi\) | |||||||
\(648\) | 9946.53 | − | 13138.9i | 0.602989 | − | 0.796522i | ||||
\(649\) | −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 | 0.548725 | − | 0.836003i | \(-0.315113\pi\) |
−0.998362 | + | 0.0572087i | \(0.981780\pi\) | |||||||
\(654\) | 154.269 | + | 294.783i | 0.00922385 | + | 0.0176253i | ||||
\(655\) | −17788.4 | − | 10270.1i | −1.06114 | − | 0.612652i | ||||
\(656\) | −3544.84 | + | 21178.0i | −0.210980 | + | 1.26046i | ||||
\(657\) | − | 17921.6i | − | 1.06421i | ||||||
\(658\) | −17520.7 | − | 8860.86i | −1.03804 | − | 0.524973i | ||||
\(659\) | 16279.4i | 0.962301i | 0.876638 | + | 0.481150i | \(0.159781\pi\) | ||||
−0.876638 | + | 0.481150i | \(0.840219\pi\) | |||||||
\(660\) | −225.325 | + | 324.790i | −0.0132890 | + | 0.0191552i | ||||
\(661\) | 9763.98 | + | 5637.24i | 0.574546 | + | 0.331714i | 0.758963 | − | 0.651134i | \(-0.225706\pi\) |
−0.184417 | + | 0.982848i | \(0.559040\pi\) | |||||||
\(662\) | 4824.28 | − | 2524.70i | 0.283234 | − | 0.148225i | ||||
\(663\) | −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 | ||||
\(668\) | 25772.1 | + | 2142.01i | 1.49274 | + | 0.124067i | ||||
\(669\) | 47.6850 | − | 82.5928i | 0.00275577 | − | 0.00477313i | ||||
\(670\) | −8374.86 | − | 347.433i | −0.482909 | − | 0.0200336i | ||||
\(671\) | −9017.71 | −0.518815 | ||||||||
\(672\) | −34.6925 | + | 312.754i | −0.00199150 | + | 0.0179535i | ||||
\(673\) | 17159.1 | 0.982813 | 0.491406 | − | 0.870930i | \(-0.336483\pi\) | ||||
0.491406 | + | 0.870930i | \(0.336483\pi\) | |||||||
\(674\) | −11321.3 | − | 469.667i | −0.647004 | − | 0.0268411i | ||||
\(675\) | 209.977 | − | 363.691i | 0.0119734 | − | 0.0207385i | ||||
\(676\) | 15643.7 | + | 1300.20i | 0.890058 | + | 0.0739759i | ||||
\(677\) | 13993.3 | − | 8079.03i | 0.794395 | − | 0.458644i | −0.0471122 | − | 0.998890i | \(-0.515002\pi\) |
0.841508 | + | 0.540245i | \(0.181668\pi\) | |||||||
\(678\) | −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 | ||||
\(682\) | −30300.2 | + | 15857.0i | −1.70125 | + | 0.890317i | ||||
\(683\) | −26743.3 | − | 15440.3i | −1.49825 | − | 0.865015i | −0.498252 | − | 0.867032i | \(-0.666025\pi\) |
−0.999998 | + | 0.00201701i | \(0.999358\pi\) | |||||||
\(684\) | −8536.50 | + | 12304.8i | −0.477195 | + | 0.687844i | ||||
\(685\) | 19738.0i | 1.10095i | ||||||||
\(686\) | 4428.48 | + | 17413.1i | 0.246472 | + | 0.969150i | ||||
\(687\) | − | 320.873i | − | 0.0178196i | ||||||
\(688\) | 5119.48 | − | 30585.4i | 0.283689 | − | 1.69485i | ||||
\(689\) | 1881.32 | + | 1086.18i | 0.104024 | + | 0.0600582i | ||||
\(690\) | 25.3786 | + | 48.4944i | 0.00140021 | + | 0.00267558i | ||||
\(691\) | 12232.5 | + | 21187.3i | 0.673438 | + | 1.16643i | 0.976923 | + | 0.213593i | \(0.0685166\pi\) |
−0.303485 | + | 0.952836i | \(0.598150\pi\) | |||||||
\(692\) | −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 | ||||
\(696\) | 201.493 | − | 266.163i | 0.0109735 | − | 0.0144955i | ||||
\(697\) | 10489.3 | − | 18168.1i | 0.570032 | − | 0.987324i | ||||
\(698\) | 196.663 | − | 4740.56i | 0.0106645 | − | 0.257067i | ||||
\(699\) | −251.194 | −0.0135923 | ||||||||
\(700\) | −170.787 | − | 12276.9i | −0.00922165 | − | 0.662889i | ||||
\(701\) | 19017.1 | 1.02463 | 0.512316 | − | 0.858797i | \(-0.328788\pi\) | ||||
0.512316 | + | 0.858797i | \(0.328788\pi\) | |||||||
\(702\) | 9.10382 | − | 219.447i | 0.000489461 | − | 0.0117984i | ||||
\(703\) | 2639.88 | − | 4572.41i | 0.141629 | − | 0.245308i | ||||
\(704\) | −13390.4 | − | 13045.9i | −0.716859 | − | 0.698416i | ||||
\(705\) | 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 | 0.992779 | − | 0.119955i | \(-0.0382750\pi\) |
−0.600274 | + | 0.799795i | \(0.704942\pi\) | |||||||
\(710\) | −1558.80 | − | 2978.62i | −0.0823955 | − | 0.157444i | ||||
\(711\) | −15226.5 | − | 8791.04i | −0.803150 | − | 0.463699i | ||||
\(712\) | −15197.7 | + | 6411.43i | −0.799943 | + | 0.337470i | ||||
\(713\) | 4735.21i | 0.248717i | ||||||||
\(714\) | 138.747 | − | 274.345i | 0.00727236 | − | 0.0143797i | ||||
\(715\) | − | 8066.70i | − | 0.421926i | ||||||
\(716\) | −19137.0 | − | 13276.3i | −0.998858 | − | 0.692961i | ||||
\(717\) | 60.7546 | + | 35.0767i | 0.00316447 | + | 0.00182701i | ||||
\(718\) | 3759.13 | − | 1967.27i | 0.195389 | − | 0.102253i | ||||
\(719\) | 7996.54 | + | 13850.4i | 0.414771 | + | 0.718405i | 0.995404 | − | 0.0957604i | \(-0.0305283\pi\) |
−0.580633 | + | 0.814165i | \(0.697195\pi\) | |||||||
\(720\) | 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 | ||||
\(724\) | −709.990 | + | 8542.42i | −0.0364456 | + | 0.438503i | ||||
\(725\) | −6512.77 | + | 11280.4i | −0.333625 | + | 0.577856i | ||||
\(726\) | −0.590578 | − | 0.0245003i | −3.01907e−5 | − | 1.25247e-6i | ||||
\(727\) | 11418.3 | 0.582503 | 0.291252 | − | 0.956646i | \(-0.405928\pi\) | ||||
0.291252 | + | 0.956646i | \(0.405928\pi\) | |||||||
\(728\) | −3056.29 | − | 5647.45i | −0.155596 | − | 0.287511i | ||||
\(729\) | −19644.5 | −0.998043 | ||||||||
\(730\) | 27053.4 | + | 1122.32i | 1.37163 | + | 0.0569024i | ||||
\(731\) | −15148.8 | + | 26238.5i | −0.766481 | + | 1.32758i | ||||
\(732\) | 15.3602 | − | 184.810i | 0.000775589 | − | 0.00933168i | ||||
\(733\) | −3692.15 | + | 2131.66i | −0.186047 | + | 0.107414i | −0.590131 | − | 0.807308i | \(-0.700924\pi\) |
0.404084 | + | 0.914722i | \(0.367590\pi\) | |||||||
\(734\) | 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 | ||||
\(738\) | 22693.9 | − | 11876.4i | 1.13194 | − | 0.592379i | ||||
\(739\) | 25655.7 | + | 14812.3i | 1.27708 | + | 0.737321i | 0.976310 | − | 0.216376i | \(-0.0694237\pi\) |
0.300768 | + | 0.953697i | \(0.402757\pi\) | |||||||
\(740\) | −7214.33 | − | 5004.97i | −0.358384 | − | 0.248630i | ||||
\(741\) | 99.7513i | 0.00494529i | ||||||||
\(742\) | 411.000 | + | 7414.95i | 0.0203346 | + | 0.366862i | ||||
\(743\) | − | 9471.33i | − | 0.467657i | −0.972278 | − | 0.233829i | \(-0.924875\pi\) | ||
0.972278 | − | 0.233829i | \(-0.0751255\pi\) | |||||||
\(744\) | −273.364 | − | 647.987i | −0.0134705 | − | 0.0319306i | ||||
\(745\) | −18264.4 | − | 10545.0i | −0.898198 | − | 0.518575i | ||||
\(746\) | −573.736 | − | 1096.32i | −0.0281581 | − | 0.0538057i | ||||
\(747\) | −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 | \(-0.817189\pi\) |
0.0506961 | + | 0.998714i | \(0.483856\pi\) | |||||||
\(752\) | 8399.89 | + | 22469.2i | 0.407330 | + | 1.08959i | ||||
\(753\) | 75.2802 | − | 130.389i | 0.00364325 | − | 0.00631029i | ||||
\(754\) | −282.369 | + | 6806.50i | −0.0136383 | + | 0.328751i | ||||
\(755\) | −34427.3 | −1.65952 | ||||||||
\(756\) | 644.961 | − | 384.428i | 0.0310278 | − | 0.0184941i | ||||
\(757\) | −28442.9 | −1.36562 | −0.682809 | − | 0.730597i | \(-0.739242\pi\) | ||||
−0.682809 | + | 0.730597i | \(0.739242\pi\) | |||||||
\(758\) | −1041.09 | + | 25095.4i | −0.0498865 | + | 1.20251i | ||||
\(759\) | −24.5040 | + | 42.4422i | −0.00117186 | + | 0.00202971i | ||||
\(760\) | −18040.0 | − | 13656.7i | −0.861025 | − | 0.651819i | ||||
\(761\) | −23807.4 | + | 13745.2i | −1.13406 | + | 0.654749i | −0.944953 | − | 0.327207i | \(-0.893892\pi\) |
−0.189106 | + | 0.981957i | \(0.560559\pi\) | |||||||
\(762\) | −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 | ||||
\(766\) | −8335.23 | − | 15927.3i | −0.393165 | − | 0.751274i | ||||
\(767\) | 4245.02 | + | 2450.86i | 0.199842 | + | 0.115379i | ||||
\(768\) | 290.173 | − | 252.203i | 0.0136337 | − | 0.0118497i | ||||
\(769\) | 36762.3i | 1.72390i | 0.506991 | + | 0.861952i | \(0.330758\pi\) | ||||
−0.506991 | + | 0.861952i | \(0.669242\pi\) | |||||||
\(770\) | 23082.2 | − | 15088.8i | 1.08029 | − | 0.706186i | ||||
\(771\) | 486.154i | 0.0227087i | ||||||||
\(772\) | 4925.94 | − | 7100.41i | 0.229648 | − | 0.331023i | ||||
\(773\) | 7076.12 | + | 4085.40i | 0.329250 | + | 0.190093i | 0.655508 | − | 0.755188i | \(-0.272454\pi\) |
−0.326258 | + | 0.945281i | \(0.605788\pi\) | |||||||
\(774\) | −32774.6 | + | 17151.9i | −1.52204 | + | 0.796530i | ||||
\(775\) | 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 | ||||
\(780\) | 165.320 | + | 13.7403i | 0.00758899 | + | 0.000630748i | ||||
\(781\) | 1505.08 | − | 2606.88i | 0.0689579 | − | 0.119439i | ||||
\(782\) | 2526.82 | + | 104.826i | 0.115548 | + | 0.00479355i | ||||
\(783\) | −796.550 | −0.0363555 | ||||||||
\(784\) | 10442.9 | − | 19309.0i | 0.475716 | − | 0.879599i | ||||
\(785\) | −31898.5 | −1.45032 | ||||||||
\(786\) | 377.893 | + | 15.6770i | 0.0171489 | + | 0.000711425i | ||||
\(787\) | −16883.2 | + | 29242.6i | −0.764703 | + | 1.32450i | 0.175700 | + | 0.984444i | \(0.443781\pi\) |
−0.940403 | + | 0.340061i | \(0.889552\pi\) | |||||||
\(788\) | −9628.86 | − | 800.288i | −0.435297 | − | 0.0361790i | ||||
\(789\) | −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 | ||||
\(794\) | −14098.8 | + | 7378.34i | −0.630162 | + | 0.329783i | ||||
\(795\) | −166.148 | − | 95.9255i | −0.00741215 | − | 0.00427941i | ||||
\(796\) | 9379.87 | − | 13520.5i | 0.417664 | − | 0.602035i | ||||
\(797\) | 3635.92i | 0.161595i | 0.996731 | + | 0.0807973i | \(0.0257466\pi\) | ||||
−0.996731 | + | 0.0807973i | \(0.974253\pi\) | |||||||
\(798\) | −285.431 | + | 186.586i | −0.0126618 | + | 0.00827702i | ||||
\(799\) | − | 23436.2i | − | 1.03769i | ||||||
\(800\) | −10013.8 | + | 11169.2i | −0.442550 | + | 0.493615i | ||||
\(801\) | 17039.8 | + | 9837.93i | 0.751650 | + | 0.433965i | ||||
\(802\) | −5140.36 | − | 9822.40i | −0.226325 | − | 0.432470i | ||||
\(803\) | 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 | ||||
\(808\) | −23613.7 | − | 17876.2i | −1.02813 | − | 0.778319i | ||||
\(809\) | 18106.2 | − | 31360.8i | 0.786871 | − | 1.36290i | −0.141004 | − | 0.990009i | \(-0.545033\pi\) |
0.927875 | − | 0.372891i | \(-0.121634\pi\) | |||||||
\(810\) | 1231.01 | − | 29673.5i | 0.0533992 | − | 1.28719i | ||||
\(811\) | 3940.47 | 0.170615 | 0.0853074 | − | 0.996355i | \(-0.472813\pi\) | ||||
0.0853074 | + | 0.996355i | \(0.472813\pi\) | |||||||
\(812\) | −20004.5 | + | 11923.6i | −0.864555 | + | 0.515317i | ||||
\(813\) | 588.874 | 0.0254031 | ||||||||
\(814\) | 325.873 | − | 7855.17i | 0.0140318 | − | 0.338235i | ||||
\(815\) | −7381.59 | + | 12785.3i | −0.317259 | + | 0.549508i | ||||
\(816\) | −351.832 | + | 131.529i | −0.0150938 | + | 0.00564267i | ||||
\(817\) | 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 | 0.969367 | − | 0.245616i | \(-0.0789904\pi\) |
−0.697394 | + | 0.716688i | \(0.745657\pi\) | |||||||
\(822\) | −168.521 | − | 322.016i | −0.00715065 | − | 0.0136637i | ||||
\(823\) | 12548.2 | + | 7244.68i | 0.531472 | + | 0.306845i | 0.741616 | − | 0.670825i | \(-0.234060\pi\) |
−0.210144 | + | 0.977671i | \(0.567393\pi\) | |||||||
\(824\) | −1052.49 | − | 2494.85i | −0.0444968 | − | 0.105476i | ||||
\(825\) | 284.009i | 0.0119853i | ||||||||
\(826\) | 927.384 | + | 16731.2i | 0.0390651 | + | 0.704784i | ||||
\(827\) | − | 42110.7i | − | 1.77066i | −0.464965 | − | 0.885329i | \(-0.653933\pi\) | ||
0.464965 | − | 0.885329i | \(-0.346067\pi\) | |||||||
\(828\) | 2536.99 | + | 1760.05i | 0.106481 | + | 0.0738719i | ||||
\(829\) | −19713.8 | − | 11381.8i | −0.825922 | − | 0.476846i | 0.0265323 | − | 0.999648i | \(-0.491554\pi\) |
−0.852454 | + | 0.522802i | \(0.824887\pi\) | |||||||
\(830\) | 28550.3 | − | 14941.2i | 1.19397 | − | 0.624840i | ||||
\(831\) | 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 | ||||
\(836\) | 1678.04 | − | 20189.7i | 0.0694212 | − | 0.835258i | ||||
\(837\) | −839.057 | + | 1453.29i | −0.0346500 | + | 0.0600156i | ||||
\(838\) | −6339.41 | − | 262.992i | −0.261326 | − | 0.0108412i | ||||
\(839\) | −5492.90 | −0.226026 | −0.113013 | − | 0.993594i | \(-0.536050\pi\) | ||||
−0.113013 | + | 0.993594i | \(0.536050\pi\) | |||||||
\(840\) | 269.916 | + | 498.753i | 0.0110869 | + | 0.0204864i | ||||
\(841\) | 317.228 | 0.0130070 | ||||||||
\(842\) | 40700.6 | + | 1688.47i | 1.66584 | + | 0.0691076i | ||||
\(843\) | −180.711 | + | 313.001i | −0.00738318 | + | 0.0127880i | ||||
\(844\) | 505.204 | − | 6078.49i | 0.0206041 | − | 0.247903i | ||||
\(845\) | 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 | ||||
\(850\) | 12985.2 | − | 6795.54i | 0.523986 | − | 0.274218i | ||||
\(851\) | −942.737 | − | 544.290i | −0.0379749 | − | 0.0219248i | ||||
\(852\) | 50.8621 | + | 35.2858i | 0.00204520 | + | 0.00141886i | ||||
\(853\) | − | 14715.4i | − | 0.590675i | −0.955393 | − | 0.295338i | \(-0.904568\pi\) | ||
0.955393 | − | 0.295338i | \(-0.0954321\pi\) | |||||||
\(854\) | −5838.57 | + | 11544.7i | −0.233948 | + | 0.462588i | ||||
\(855\) | 26989.8i | 1.07957i | ||||||||
\(856\) | −16200.0 | + | 6834.26i | −0.646852 | + | 0.272886i | ||||
\(857\) | 14391.2 | + | 8308.75i | 0.573621 | + | 0.331180i | 0.758594 | − | 0.651563i | \(-0.225887\pi\) |
−0.184973 | + | 0.982744i | \(0.559220\pi\) | |||||||
\(858\) | 68.8724 | + | 131.604i | 0.00274040 | + | 0.00523647i | ||||
\(859\) | −11713.7 | − | 20288.7i | −0.465268 | − | 0.805868i | 0.533945 | − | 0.845519i | \(-0.320709\pi\) |
−0.999214 | + | 0.0396508i | \(0.987375\pi\) | |||||||
\(860\) | −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 | \(-0.786799\pi\) |
0.145673 | + | 0.989333i | \(0.453465\pi\) | |||||||
\(864\) | −897.708 | − | 188.814i | −0.0353480 | − | 0.00743470i | ||||
\(865\) | −358.843 | + | 621.534i | −0.0141052 | + | 0.0244310i | ||||
\(866\) | −1500.92 | + | 36179.7i | −0.0588954 | + | 1.41967i | ||||
\(867\) | −94.1675 | −0.00368869 | ||||||||
\(868\) | 682.456 | + | 49057.6i | 0.0266867 | + | 1.91835i | ||||
\(869\) | 23784.8 | 0.928476 | ||||||||
\(870\) | 24.9373 | − | 601.114i | 0.000971788 | − | 0.0234249i | ||||
\(871\) | −1574.82 | + | 2727.66i | −0.0612636 | + | 0.106112i | ||||
\(872\) | −17116.1 | + | 22609.6i | −0.664705 | + | 0.878047i | ||||
\(873\) | 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 | 0.900011 | + | 0.435867i | \(0.143558\pi\) |
−0.0725340 | + | 0.997366i | \(0.523109\pi\) | |||||||
\(878\) | −18098.9 | − | 34584.0i | −0.695681 | − | 1.32933i | ||||
\(879\) | 560.769 | + | 323.760i | 0.0215180 | + | 0.0124234i | ||||
\(880\) | −33229.7 | − | 5562.10i | −1.27292 | − | 0.213066i | ||||
\(881\) | − | 36788.9i | − | 1.40687i | −0.710761 | − | 0.703434i | \(-0.751649\pi\) | ||
0.710761 | − | 0.703434i | \(-0.248351\pi\) | |||||||
\(882\) | −25882.8 | + | 3970.20i | −0.988117 | + | 0.151569i | ||||
\(883\) | − | 6006.92i | − | 0.228934i | −0.993427 | − | 0.114467i | \(-0.963484\pi\) | ||
0.993427 | − | 0.114467i | \(-0.0365161\pi\) | |||||||
\(884\) | 4369.15 | − | 6297.84i | 0.166234 | − | 0.239615i | ||||
\(885\) | −374.898 | − | 216.447i | −0.0142396 | − | 0.00822124i | ||||
\(886\) | −13515.9 | + | 7073.31i | −0.512502 | + | 0.268208i | ||||
\(887\) | 5667.43 | + | 9816.29i | 0.214536 | + | 0.371588i | 0.953129 | − | 0.302564i | \(-0.0978426\pi\) |
−0.738593 | + | 0.674152i | \(0.764509\pi\) | |||||||
\(888\) | 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 | ||||
\(892\) | 8100.65 | + | 673.273i | 0.304069 | + | 0.0252723i | ||||
\(893\) | −12997.7 | + | 22512.7i | −0.487068 | + | 0.843627i | ||||
\(894\) | 388.007 | + | 16.0966i | 0.0145155 | + | 0.000602181i | ||||
\(895\) | −41975.8 | −1.56770 | ||||||||
\(896\) | −25371.3 | + | 8696.02i | −0.945977 | + | 0.324234i | ||||
\(897\) | 20.5667 | 0.000765553 | ||||||||
\(898\) | −44092.5 | − | 1829.19i | −1.63852 | − | 0.0679742i | ||||
\(899\) | 26024.6 | − | 45076.0i | 0.965484 | − | 1.67227i | ||||
\(900\) | 17832.4 | + | 1482.11i | 0.660459 | + | 0.0548931i | ||||
\(901\) | −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 | ||||
\(906\) | 561.665 | − | 293.936i | 0.0205961 | − | 0.0107786i | ||||
\(907\) | −23176.8 | − | 13381.1i | −0.848482 | − | 0.489871i | 0.0116566 | − | 0.999932i | \(-0.496289\pi\) |
−0.860138 | + | 0.510061i | \(0.829623\pi\) | |||||||
\(908\) | −5197.42 | + | 7491.73i | −0.189959 | + | 0.273813i | ||||
\(909\) | 35328.7i | 1.28908i | ||||||||
\(910\) | −10327.2 | − | 5222.83i | −0.376200 | − | 0.190258i | ||||
\(911\) | − | 26600.8i | − | 0.967425i | −0.875227 | − | 0.483712i | \(-0.839288\pi\) | ||
0.875227 | − | 0.483712i | \(-0.160712\pi\) | |||||||
\(912\) | 410.913 | + | 68.7799i | 0.0149196 | + | 0.00249729i | ||||
\(913\) | 24987.1 | + | 14426.3i | 0.905753 | + | 0.522937i | ||||
\(914\) | 7170.55 | + | 13701.8i | 0.259498 | + | 0.495858i | ||||
\(915\) | −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 | \(-0.898950\pi\) |
−0.204684 | + | 0.978828i | \(0.565617\pi\) | |||||||
\(920\) | −2815.74 | + | 3719.47i | −0.100905 | + | 0.133291i | ||||
\(921\) | −352.567 | + | 610.664i | −0.0126140 | + | 0.0218481i | ||||
\(922\) | 1728.79 | − | 41672.4i | 0.0617512 | − | 1.48851i | ||||
\(923\) | −1263.24 | −0.0450489 | ||||||||
\(924\) | −247.749 | + | 443.240i | −0.00882071 | + | 0.0157809i | ||||
\(925\) | −6308.47 | −0.224239 | ||||||||
\(926\) | 997.782 | − | 24051.5i | 0.0354094 | − | 0.853543i | ||||
\(927\) | −1614.98 | + | 2797.23i | −0.0572201 | + | 0.0991081i | ||||
\(928\) | 27843.8 | + | 5856.36i | 0.984932 | + | 0.207160i | ||||
\(929\) | 8412.37 | − | 4856.89i | 0.297095 | − | 0.171528i | −0.344042 | − | 0.938954i | \(-0.611796\pi\) |
0.641137 | + | 0.767426i | \(0.278463\pi\) | |||||||
\(930\) | −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 | ||||
\(934\) | 20663.8 | + | 39485.1i | 0.723918 | + | 1.38329i | ||||
\(935\) | 28507.0 | + | 16458.5i | 0.997089 | + | 0.575670i | ||||
\(936\) | 8622.60 | − | 3637.60i | 0.301110 | − | 0.127028i | ||||
\(937\) | 26889.4i | 0.937501i | 0.883331 | + | 0.468750i | \(0.155296\pi\) | ||||
−0.883331 | + | 0.468750i | \(0.844704\pi\) | |||||||
\(938\) | −10750.7 | + | 595.896i | −0.374225 | + | 0.0207427i | ||||
\(939\) | − | 266.664i | − | 0.00926756i | ||||||
\(940\) | 35520.4 | + | 24642.4i | 1.23250 | + | 0.855051i | ||||
\(941\) | −30074.6 | − | 17363.6i | −1.04188 | − | 0.601527i | −0.121511 | − | 0.992590i | \(-0.538774\pi\) |
−0.920364 | + | 0.391063i | \(0.872107\pi\) | |||||||
\(942\) | 520.407 | − | 272.345i | 0.0179998 | − | 0.00941983i | ||||
\(943\) | 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 | \(-0.810175\pi\) |
0.0726886 | + | 0.997355i | \(0.476842\pi\) | |||||||
\(948\) | −40.5137 | + | 487.450i | −0.00138800 | + | 0.0167001i | ||||
\(949\) | 5087.14 | − | 8811.18i | 0.174010 | − | 0.301394i | ||||
\(950\) | −16242.3 | − | 673.815i | −0.554704 | − | 0.0230120i | ||||
\(951\) | 536.859 | 0.0183058 | ||||||||
\(952\) | 26193.4 | + | 721.837i | 0.891735 | + | 0.0245744i | ||||
\(953\) | −23212.4 | −0.789005 | −0.394503 | − | 0.918895i | \(-0.629083\pi\) | ||||
−0.394503 | + | 0.918895i | \(0.629083\pi\) | |||||||
\(954\) | −10813.7 | − | 448.611i | −0.366989 | − | 0.0152246i | ||||
\(955\) | 22111.2 | − | 38297.7i | 0.749215 | − | 1.29768i | ||||
\(956\) | −495.254 | + | 5958.77i | −0.0167549 | + | 0.201590i | ||||
\(957\) | 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 | ||||
\(962\) | −2923.23 | + | 1529.81i | −0.0979715 | + | 0.0512715i | ||||
\(963\) | 18163.5 | + | 10486.7i | 0.607801 | + | 0.350914i | ||||
\(964\) | 11272.6 | + | 7820.40i | 0.376624 | + | 0.261284i | ||||
\(965\) | − | 15574.3i | − | 0.519539i | ||||||
\(966\) | 38.4701 | + | 58.8500i | 0.00128132 | + | 0.00196011i | ||||
\(967\) | 57399.1i | 1.90882i | 0.298494 | + | 0.954412i | \(0.403516\pi\) | ||||
−0.298494 | + | 0.954412i | \(0.596484\pi\) | |||||||
\(968\) | −19.5822 | − | 46.4180i | −0.000650204 | − | 0.00154125i | ||||
\(969\) | −352.512 | − | 203.523i | −0.0116866 | − | 0.00674727i | ||||
\(970\) | 7311.72 | + | 13971.5i | 0.242026 | + | 0.462472i | ||||
\(971\) | −5194.04 | − | 8996.34i | −0.171663 | − | 0.297329i | 0.767338 | − | 0.641242i | \(-0.221581\pi\) |
−0.939001 | + | 0.343913i | \(0.888247\pi\) | |||||||
\(972\) | 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 | ||||
\(976\) | 14805.3 | − | 5534.82i | 0.485561 | − | 0.181522i | ||||
\(977\) | −23494.7 | + | 40694.1i | −0.769358 | + | 1.33257i | 0.168553 | + | 0.985693i | \(0.446091\pi\) |
−0.937911 | + | 0.346875i | \(0.887243\pi\) | |||||||
\(978\) | 11.2678 | − | 271.609i | 0.000368408 | − | 0.00888046i | ||||
\(979\) | −26617.3 | −0.868940 | ||||||||
\(980\) | −4372.30 | − | 39319.7i | −0.142518 | − | 1.28166i | ||||
\(981\) | 33826.4 | 1.10091 | ||||||||
\(982\) | 881.841 | − | 21256.7i | 0.0286565 | − | 0.690764i | ||||
\(983\) | −8426.43 | + | 14595.0i | −0.273409 | + | 0.473559i | −0.969733 | − | 0.244170i | \(-0.921485\pi\) |
0.696323 | + | 0.717728i | \(0.254818\pi\) | |||||||
\(984\) | −568.133 | − | 430.092i | −0.0184059 | − | 0.0139338i | ||||
\(985\) | −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 | ||||
\(990\) | 18634.9 | + | 35608.2i | 0.598238 | + | 1.14314i | ||||
\(991\) | −1218.57 | − | 703.544i | −0.0390608 | − | 0.0225518i | 0.480342 | − | 0.877081i | \(-0.340512\pi\) |
−0.519403 | + | 0.854529i | \(0.673846\pi\) | |||||||
\(992\) | 40014.4 | − | 44631.6i | 1.28071 | − | 1.42848i | ||||
\(993\) | 180.692i | 0.00577450i | ||||||||
\(994\) | −2362.91 | − | 3614.68i | −0.0753993 | − | 0.115343i | ||||
\(995\) | − | 29656.3i | − | 0.944893i | ||||||
\(996\) | −338.217 | + | 487.517i | −0.0107599 | + | 0.0155096i | ||||
\(997\) | 6527.66 | + | 3768.75i | 0.207355 | + | 0.119717i | 0.600082 | − | 0.799939i | \(-0.295135\pi\) |
−0.392726 | + | 0.919655i | \(0.628468\pi\) | |||||||
\(998\) | 35740.9 | − | 18704.3i | 1.13363 | − | 0.593261i | ||||
\(999\) | −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.3.1 | ✓ | 20 | |
4.3 | odd | 2 | inner | 28.4.f.a.3.7 | yes | 20 | |
7.2 | even | 3 | 196.4.f.d.19.7 | 20 | |||
7.3 | odd | 6 | 196.4.d.b.195.14 | 20 | |||
7.4 | even | 3 | 196.4.d.b.195.13 | 20 | |||
7.5 | odd | 6 | inner | 28.4.f.a.19.7 | yes | 20 | |
7.6 | odd | 2 | 196.4.f.d.31.1 | 20 | |||
8.3 | odd | 2 | 448.4.p.h.255.6 | 20 | |||
8.5 | even | 2 | 448.4.p.h.255.5 | 20 | |||
28.3 | even | 6 | 196.4.d.b.195.15 | 20 | |||
28.11 | odd | 6 | 196.4.d.b.195.16 | 20 | |||
28.19 | even | 6 | inner | 28.4.f.a.19.1 | yes | 20 | |
28.23 | odd | 6 | 196.4.f.d.19.1 | 20 | |||
28.27 | even | 2 | 196.4.f.d.31.7 | 20 | |||
56.5 | odd | 6 | 448.4.p.h.383.6 | 20 | |||
56.19 | even | 6 | 448.4.p.h.383.5 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.4.f.a.3.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
28.4.f.a.3.7 | yes | 20 | 4.3 | odd | 2 | inner | |
28.4.f.a.19.1 | yes | 20 | 28.19 | even | 6 | inner | |
28.4.f.a.19.7 | yes | 20 | 7.5 | odd | 6 | inner | |
196.4.d.b.195.13 | 20 | 7.4 | even | 3 | |||
196.4.d.b.195.14 | 20 | 7.3 | odd | 6 | |||
196.4.d.b.195.15 | 20 | 28.3 | even | 6 | |||
196.4.d.b.195.16 | 20 | 28.11 | odd | 6 | |||
196.4.f.d.19.1 | 20 | 28.23 | odd | 6 | |||
196.4.f.d.19.7 | 20 | 7.2 | even | 3 | |||
196.4.f.d.31.1 | 20 | 7.6 | odd | 2 | |||
196.4.f.d.31.7 | 20 | 28.27 | even | 2 | |||
448.4.p.h.255.5 | 20 | 8.5 | even | 2 | |||
448.4.p.h.255.6 | 20 | 8.3 | odd | 2 | |||
448.4.p.h.383.5 | 20 | 56.19 | even | 6 | |||
448.4.p.h.383.6 | 20 | 56.5 | odd | 6 |