Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,4,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), degree \(16\), 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: | \(7.55224448073\) |
Analytic rank: | \(0\) |
Dimension: | \(752\) |
Relative dimension: | \(47\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Character | \(\chi\) | \(=\) | 128.5 |
Dual form | 128.4.k.a.77.7 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.53887 | + | 1.24665i | −0.897627 | + | 0.440756i | ||||
\(3\) | 7.58094 | + | 2.29965i | 1.45895 | + | 0.442569i | 0.917355 | − | 0.398069i | \(-0.130320\pi\) |
0.541598 | + | 0.840638i | \(0.317820\pi\) | |||||||
\(4\) | 4.89175 | − | 6.33015i | 0.611468 | − | 0.791269i | ||||
\(5\) | 9.48044 | + | 0.933742i | 0.847956 | + | 0.0835164i | 0.512655 | − | 0.858595i | \(-0.328662\pi\) |
0.335301 | + | 0.942111i | \(0.391162\pi\) | |||||||
\(6\) | −22.1139 | + | 3.61223i | −1.50466 | + | 0.245781i | ||||
\(7\) | 6.95727 | + | 10.4123i | 0.375657 | + | 0.562211i | 0.970338 | − | 0.241751i | \(-0.0777216\pi\) |
−0.594681 | + | 0.803962i | \(0.702722\pi\) | |||||||
\(8\) | −4.52806 | + | 22.1697i | −0.200114 | + | 0.979773i | ||||
\(9\) | 29.7326 | + | 19.8667i | 1.10121 | + | 0.735803i | ||||
\(10\) | −25.2337 | + | 9.44810i | −0.797959 | + | 0.298775i | ||||
\(11\) | 15.2548 | − | 28.5396i | 0.418135 | − | 0.782275i | −0.581373 | − | 0.813637i | \(-0.697484\pi\) |
0.999508 | + | 0.0313618i | \(0.00998442\pi\) | |||||||
\(12\) | 51.6412 | − | 36.7392i | 1.24229 | − | 0.883808i | ||||
\(13\) | −2.95490 | − | 30.0016i | −0.0630416 | − | 0.640072i | −0.973842 | − | 0.227226i | \(-0.927035\pi\) |
0.910801 | − | 0.412847i | \(-0.135465\pi\) | |||||||
\(14\) | −30.6441 | − | 17.7622i | −0.584998 | − | 0.339083i | ||||
\(15\) | 69.7234 | + | 28.8804i | 1.20017 | + | 0.497125i | ||||
\(16\) | −16.1416 | − | 61.9310i | −0.252213 | − | 0.967672i | ||||
\(17\) | −6.89315 | + | 2.85523i | −0.0983431 | + | 0.0407351i | −0.431313 | − | 0.902203i | \(-0.641949\pi\) |
0.332969 | + | 0.942938i | \(0.391949\pi\) | |||||||
\(18\) | −100.254 | − | 13.3729i | −1.31278 | − | 0.175113i | ||||
\(19\) | −22.5489 | + | 27.4759i | −0.272267 | + | 0.331758i | −0.891136 | − | 0.453736i | \(-0.850091\pi\) |
0.618870 | + | 0.785494i | \(0.287591\pi\) | |||||||
\(20\) | 52.2866 | − | 55.4450i | 0.584582 | − | 0.619894i | ||||
\(21\) | 28.7980 | + | 94.9343i | 0.299250 | + | 0.986494i | ||||
\(22\) | −3.15104 | + | 91.4758i | −0.0305366 | + | 0.886487i | ||||
\(23\) | 8.93152 | + | 44.9018i | 0.0809717 | + | 0.407072i | 0.999919 | + | 0.0126930i | \(0.00404042\pi\) |
−0.918948 | + | 0.394379i | \(0.870960\pi\) | |||||||
\(24\) | −85.3096 | + | 157.654i | −0.725573 | + | 1.34088i | ||||
\(25\) | −33.5913 | − | 6.68172i | −0.268730 | − | 0.0534538i | ||||
\(26\) | 44.9035 | + | 72.4865i | 0.338704 | + | 0.546760i | ||||
\(27\) | 44.0206 | + | 53.6392i | 0.313769 | + | 0.382329i | ||||
\(28\) | 99.9446 | + | 6.89371i | 0.674563 | + | 0.0465282i | ||||
\(29\) | 35.9847 | − | 19.2342i | 0.230420 | − | 0.123162i | −0.352147 | − | 0.935945i | \(-0.614548\pi\) |
0.582567 | + | 0.812782i | \(0.302048\pi\) | |||||||
\(30\) | −213.022 | + | 13.5968i | −1.29641 | + | 0.0827476i | ||||
\(31\) | 220.931 | + | 220.931i | 1.28001 | + | 1.28001i | 0.940661 | + | 0.339349i | \(0.110207\pi\) |
0.339349 | + | 0.940661i | \(0.389793\pi\) | |||||||
\(32\) | 118.188 | + | 137.112i | 0.652900 | + | 0.757444i | ||||
\(33\) | 181.277 | − | 181.277i | 0.956249 | − | 0.956249i | ||||
\(34\) | 13.9414 | − | 15.8424i | 0.0703212 | − | 0.0799102i | ||||
\(35\) | 56.2356 | + | 105.209i | 0.271587 | + | 0.508104i | ||||
\(36\) | 271.203 | − | 91.0291i | 1.25557 | − | 0.421431i | ||||
\(37\) | −254.030 | + | 208.477i | −1.12871 | + | 0.926309i | −0.997879 | − | 0.0650958i | \(-0.979265\pi\) |
−0.130832 | + | 0.991405i | \(0.541765\pi\) | |||||||
\(38\) | 22.9960 | − | 97.8682i | 0.0981696 | − | 0.417798i | ||||
\(39\) | 46.5923 | − | 234.235i | 0.191301 | − | 0.961736i | ||||
\(40\) | −63.6288 | + | 205.951i | −0.251515 | + | 0.814092i | ||||
\(41\) | −25.8255 | + | 5.13701i | −0.0983724 | + | 0.0195675i | −0.244031 | − | 0.969767i | \(-0.578470\pi\) |
0.145659 | + | 0.989335i | \(0.453470\pi\) | |||||||
\(42\) | −191.464 | − | 205.125i | −0.703418 | − | 0.753607i | ||||
\(43\) | −377.768 | + | 114.595i | −1.33975 | + | 0.406407i | −0.877173 | − | 0.480174i | \(-0.840574\pi\) |
−0.462573 | + | 0.886581i | \(0.653074\pi\) | |||||||
\(44\) | −106.038 | − | 236.174i | −0.363314 | − | 0.809193i | ||||
\(45\) | 263.328 | + | 216.107i | 0.872324 | + | 0.715898i | ||||
\(46\) | −78.6526 | − | 102.865i | −0.252102 | − | 0.329710i | ||||
\(47\) | −195.297 | − | 471.489i | −0.606107 | − | 1.46327i | −0.867201 | − | 0.497958i | \(-0.834083\pi\) |
0.261094 | − | 0.965313i | \(-0.415917\pi\) | |||||||
\(48\) | 20.0510 | − | 506.615i | 0.0602940 | − | 1.52341i | ||||
\(49\) | 71.2482 | − | 172.008i | 0.207721 | − | 0.501482i | ||||
\(50\) | 93.6138 | − | 24.9124i | 0.264780 | − | 0.0704630i | ||||
\(51\) | −58.8226 | + | 5.79352i | −0.161506 | + | 0.0159070i | ||||
\(52\) | −204.369 | − | 128.055i | −0.545017 | − | 0.341501i | ||||
\(53\) | 229.832 | + | 122.848i | 0.595658 | + | 0.318386i | 0.741532 | − | 0.670917i | \(-0.234099\pi\) |
−0.145874 | + | 0.989303i | \(0.546599\pi\) | |||||||
\(54\) | −178.632 | − | 81.3051i | −0.450161 | − | 0.204893i | ||||
\(55\) | 171.270 | − | 256.324i | 0.419893 | − | 0.628414i | ||||
\(56\) | −262.341 | + | 107.093i | −0.626013 | + | 0.255553i | ||||
\(57\) | −234.127 | + | 156.438i | −0.544050 | + | 0.363522i | ||||
\(58\) | −67.3823 | + | 93.6935i | −0.152547 | + | 0.212113i | ||||
\(59\) | 64.2233 | − | 652.071i | 0.141715 | − | 1.43885i | −0.616760 | − | 0.787151i | \(-0.711555\pi\) |
0.758475 | − | 0.651702i | \(-0.225945\pi\) | |||||||
\(60\) | 523.886 | − | 300.084i | 1.12722 | − | 0.645678i | ||||
\(61\) | −101.025 | + | 333.034i | −0.212047 | + | 0.699026i | 0.784805 | + | 0.619743i | \(0.212763\pi\) |
−0.996852 | + | 0.0792834i | \(0.974737\pi\) | |||||||
\(62\) | −836.337 | − | 285.492i | −1.71314 | − | 0.584799i | ||||
\(63\) | 447.803i | 0.895521i | ||||||||
\(64\) | −470.993 | − | 200.772i | −0.919909 | − | 0.392132i | ||||
\(65\) | − | 287.187i | − | 0.548018i | ||||||
\(66\) | −234.251 | + | 686.226i | −0.436882 | + | 1.27983i | ||||
\(67\) | 216.225 | − | 712.797i | 0.394269 | − | 1.29973i | −0.505296 | − | 0.862946i | \(-0.668617\pi\) |
0.899565 | − | 0.436786i | \(-0.143883\pi\) | |||||||
\(68\) | −15.6455 | + | 57.6017i | −0.0279013 | + | 0.102724i | ||||
\(69\) | −35.5492 | + | 360.937i | −0.0620235 | + | 0.629735i | ||||
\(70\) | −273.934 | − | 197.007i | −0.467734 | − | 0.336384i | ||||
\(71\) | 595.158 | − | 397.672i | 0.994820 | − | 0.664718i | 0.0522182 | − | 0.998636i | \(-0.483371\pi\) |
0.942602 | + | 0.333918i | \(0.108371\pi\) | |||||||
\(72\) | −575.070 | + | 569.206i | −0.941287 | + | 0.931688i | ||||
\(73\) | −390.085 | + | 583.803i | −0.625424 | + | 0.936014i | 0.374537 | + | 0.927212i | \(0.377802\pi\) |
−0.999961 | + | 0.00880164i | \(0.997198\pi\) | |||||||
\(74\) | 385.053 | − | 845.982i | 0.604885 | − | 1.32897i | ||||
\(75\) | −239.288 | − | 127.902i | −0.368408 | − | 0.196918i | ||||
\(76\) | 63.6231 | + | 277.143i | 0.0960273 | + | 0.418295i | ||||
\(77\) | 403.295 | − | 39.7211i | 0.596879 | − | 0.0587875i | ||||
\(78\) | 173.717 | + | 652.778i | 0.252174 | + | 0.947597i | ||||
\(79\) | −150.383 | + | 363.056i | −0.214169 | + | 0.517051i | −0.994056 | − | 0.108870i | \(-0.965277\pi\) |
0.779887 | + | 0.625921i | \(0.215277\pi\) | |||||||
\(80\) | −95.2023 | − | 602.205i | −0.133049 | − | 0.841607i | ||||
\(81\) | −159.113 | − | 384.133i | −0.218262 | − | 0.526932i | ||||
\(82\) | 59.1637 | − | 45.2375i | 0.0796772 | − | 0.0609225i | ||||
\(83\) | −939.124 | − | 770.720i | −1.24196 | − | 1.01925i | −0.998786 | − | 0.0492627i | \(-0.984313\pi\) |
−0.243170 | − | 0.969984i | \(-0.578187\pi\) | |||||||
\(84\) | 741.821 | + | 282.099i | 0.963564 | + | 0.366423i | ||||
\(85\) | −68.0161 | + | 20.6325i | −0.0867927 | + | 0.0263283i | ||||
\(86\) | 816.246 | − | 761.884i | 1.02347 | − | 0.955303i | ||||
\(87\) | 317.030 | − | 63.0612i | 0.390680 | − | 0.0777112i | ||||
\(88\) | 563.642 | + | 467.423i | 0.682777 | + | 0.566221i | ||||
\(89\) | −159.699 | + | 802.864i | −0.190203 | + | 0.956218i | 0.761258 | + | 0.648449i | \(0.224582\pi\) |
−0.951461 | + | 0.307768i | \(0.900418\pi\) | |||||||
\(90\) | −937.965 | − | 220.393i | −1.09856 | − | 0.258127i | ||||
\(91\) | 291.827 | − | 239.496i | 0.336174 | − | 0.275891i | ||||
\(92\) | 327.926 | + | 163.110i | 0.371615 | + | 0.184841i | ||||
\(93\) | 1166.80 | + | 2182.93i | 1.30098 | + | 2.43397i | ||||
\(94\) | 1083.61 | + | 953.584i | 1.18900 | + | 1.04633i | ||||
\(95\) | −239.429 | + | 239.429i | −0.258577 | + | 0.258577i | ||||
\(96\) | 580.663 | + | 1311.23i | 0.617330 | + | 1.39403i | ||||
\(97\) | −71.2744 | − | 71.2744i | −0.0746064 | − | 0.0746064i | 0.668819 | − | 0.743425i | \(-0.266800\pi\) |
−0.743425 | + | 0.668819i | \(0.766800\pi\) | |||||||
\(98\) | 33.5435 | + | 525.528i | 0.0345756 | + | 0.541698i | ||||
\(99\) | 1020.55 | − | 545.496i | 1.03605 | − | 0.553782i | ||||
\(100\) | −206.616 | + | 179.953i | −0.206616 | + | 0.179953i | ||||
\(101\) | 646.243 | + | 787.449i | 0.636669 | + | 0.775783i | 0.986979 | − | 0.160851i | \(-0.0514237\pi\) |
−0.350310 | + | 0.936634i | \(0.613924\pi\) | |||||||
\(102\) | 142.121 | − | 88.0400i | 0.137961 | − | 0.0854633i | ||||
\(103\) | 178.270 | + | 35.4602i | 0.170539 | + | 0.0339223i | 0.279621 | − | 0.960110i | \(-0.409791\pi\) |
−0.109082 | + | 0.994033i | \(0.534791\pi\) | |||||||
\(104\) | 678.507 | + | 70.3396i | 0.639741 | + | 0.0663209i | ||||
\(105\) | 184.374 | + | 926.909i | 0.171362 | + | 0.861496i | ||||
\(106\) | −736.662 | − | 25.3756i | −0.675009 | − | 0.0232519i | ||||
\(107\) | −625.617 | − | 2062.38i | −0.565240 | − | 1.86335i | −0.501070 | − | 0.865407i | \(-0.667060\pi\) |
−0.0641693 | − | 0.997939i | \(-0.520440\pi\) | |||||||
\(108\) | 554.882 | − | 16.2674i | 0.494385 | − | 0.0144938i | ||||
\(109\) | 524.176 | − | 638.710i | 0.460614 | − | 0.561260i | −0.489965 | − | 0.871742i | \(-0.662990\pi\) |
0.950579 | + | 0.310482i | \(0.100490\pi\) | |||||||
\(110\) | −115.288 | + | 864.288i | −0.0999298 | + | 0.749152i | ||||
\(111\) | −2405.21 | + | 996.272i | −2.05669 | + | 0.851909i | ||||
\(112\) | 532.542 | − | 598.942i | 0.449290 | − | 0.505310i | ||||
\(113\) | −1635.52 | − | 677.456i | −1.36157 | − | 0.563980i | −0.422078 | − | 0.906559i | \(-0.638699\pi\) |
−0.939489 | + | 0.342580i | \(0.888699\pi\) | |||||||
\(114\) | 399.394 | − | 689.050i | 0.328129 | − | 0.566101i | ||||
\(115\) | 42.7481 | + | 434.028i | 0.0346633 | + | 0.351942i | ||||
\(116\) | 54.2725 | − | 321.878i | 0.0434403 | − | 0.257634i | ||||
\(117\) | 508.175 | − | 950.729i | 0.401545 | − | 0.751238i | ||||
\(118\) | 649.846 | + | 1735.59i | 0.506976 | + | 1.35402i | ||||
\(119\) | −77.6871 | − | 51.9088i | −0.0598451 | − | 0.0399872i | ||||
\(120\) | −955.981 | + | 1414.98i | −0.727240 | + | 1.07641i | ||||
\(121\) | 157.660 | + | 235.955i | 0.118453 | + | 0.177277i | ||||
\(122\) | −158.687 | − | 971.472i | −0.117761 | − | 0.720926i | ||||
\(123\) | −207.595 | − | 20.4463i | −0.152181 | − | 0.0149885i | ||||
\(124\) | 2479.26 | − | 317.788i | 1.79552 | − | 0.230147i | ||||
\(125\) | −1451.74 | − | 440.379i | −1.03878 | − | 0.315110i | ||||
\(126\) | −558.251 | − | 1136.91i | −0.394706 | − | 0.803844i | ||||
\(127\) | −2310.04 | −1.61404 | −0.807018 | − | 0.590527i | \(-0.798920\pi\) | ||||
−0.807018 | + | 0.590527i | \(0.798920\pi\) | |||||||
\(128\) | 1446.08 | − | 77.4285i | 0.998570 | − | 0.0534670i | ||||
\(129\) | −3127.36 | −2.13449 | ||||||||
\(130\) | 358.021 | + | 729.132i | 0.241542 | + | 0.491916i | ||||
\(131\) | 1341.61 | + | 406.973i | 0.894786 | + | 0.271430i | 0.703999 | − | 0.710201i | \(-0.251396\pi\) |
0.190787 | + | 0.981631i | \(0.438896\pi\) | |||||||
\(132\) | −260.749 | − | 2034.27i | −0.171934 | − | 1.34137i | ||||
\(133\) | −442.966 | − | 43.6283i | −0.288797 | − | 0.0284440i | ||||
\(134\) | 339.639 | + | 2079.26i | 0.218958 | + | 1.34045i | ||||
\(135\) | 367.249 | + | 549.627i | 0.234132 | + | 0.350403i | ||||
\(136\) | −32.0872 | − | 165.748i | −0.0202313 | − | 0.104506i | ||||
\(137\) | 201.103 | + | 134.373i | 0.125412 | + | 0.0837975i | 0.616694 | − | 0.787203i | \(-0.288472\pi\) |
−0.491282 | + | 0.871001i | \(0.663472\pi\) | |||||||
\(138\) | −359.706 | − | 960.691i | −0.221886 | − | 0.592604i | ||||
\(139\) | 55.1769 | − | 103.229i | 0.0336694 | − | 0.0629909i | −0.864524 | − | 0.502592i | \(-0.832380\pi\) |
0.898193 | + | 0.439601i | \(0.144880\pi\) | |||||||
\(140\) | 941.082 | + | 158.678i | 0.568114 | + | 0.0957909i | ||||
\(141\) | −396.275 | − | 4023.45i | −0.236684 | − | 2.40309i | ||||
\(142\) | −1015.27 | + | 1751.59i | −0.599999 | + | 1.03514i | ||||
\(143\) | −901.310 | − | 373.335i | −0.527072 | − | 0.218321i | ||||
\(144\) | 750.431 | − | 2162.05i | 0.434277 | − | 1.25119i | ||||
\(145\) | 359.111 | − | 148.749i | 0.205673 | − | 0.0851924i | ||||
\(146\) | 262.580 | − | 1968.50i | 0.148844 | − | 1.11585i | ||||
\(147\) | 935.688 | − | 1140.14i | 0.524995 | − | 0.639708i | ||||
\(148\) | 77.0410 | + | 2627.87i | 0.0427887 | + | 1.45952i | ||||
\(149\) | −520.164 | − | 1714.75i | −0.285997 | − | 0.942805i | −0.975774 | − | 0.218783i | \(-0.929791\pi\) |
0.689777 | − | 0.724022i | \(-0.257709\pi\) | |||||||
\(150\) | 766.970 | + | 26.4196i | 0.417486 | + | 0.0143810i | ||||
\(151\) | 260.033 | + | 1307.28i | 0.140141 | + | 0.704534i | 0.985410 | + | 0.170195i | \(0.0544396\pi\) |
−0.845270 | + | 0.534340i | \(0.820560\pi\) | |||||||
\(152\) | −507.030 | − | 624.315i | −0.270563 | − | 0.333149i | ||||
\(153\) | −261.675 | − | 52.0504i | −0.138269 | − | 0.0275034i | ||||
\(154\) | −974.396 | + | 603.613i | −0.509864 | + | 0.315847i | ||||
\(155\) | 1888.23 | + | 2300.81i | 0.978490 | + | 1.19229i | ||||
\(156\) | −1254.83 | − | 1440.76i | −0.644017 | − | 0.739441i | ||||
\(157\) | −544.892 | + | 291.251i | −0.276988 | + | 0.148053i | −0.604042 | − | 0.796952i | \(-0.706444\pi\) |
0.327054 | + | 0.945006i | \(0.393944\pi\) | |||||||
\(158\) | −70.7999 | − | 1109.23i | −0.0356490 | − | 0.558515i | ||||
\(159\) | 1459.84 | + | 1459.84i | 0.728129 | + | 0.728129i | ||||
\(160\) | 992.443 | + | 1410.24i | 0.490372 | + | 0.696807i | ||||
\(161\) | −405.392 | + | 405.392i | −0.198443 | + | 0.198443i | ||||
\(162\) | 882.847 | + | 776.908i | 0.428167 | + | 0.376788i | ||||
\(163\) | 952.509 | + | 1782.02i | 0.457707 | + | 0.856310i | 0.999871 | + | 0.0160375i | \(0.00510513\pi\) |
−0.542164 | + | 0.840273i | \(0.682395\pi\) | |||||||
\(164\) | −93.8138 | + | 188.608i | −0.0446685 | + | 0.0898039i | ||||
\(165\) | 1887.85 | − | 1549.32i | 0.890720 | − | 0.730995i | ||||
\(166\) | 3345.13 | + | 786.003i | 1.56405 | + | 0.367504i | ||||
\(167\) | −60.9305 | + | 306.318i | −0.0282332 | + | 0.141938i | −0.992331 | − | 0.123610i | \(-0.960553\pi\) |
0.964098 | + | 0.265548i | \(0.0855528\pi\) | |||||||
\(168\) | −2235.07 | + | 208.576i | −1.02642 | + | 0.0957856i | ||||
\(169\) | 1263.42 | − | 251.310i | 0.575067 | − | 0.114388i | ||||
\(170\) | 146.963 | − | 137.175i | 0.0663031 | − | 0.0618874i | ||||
\(171\) | −1216.29 | + | 368.958i | −0.543930 | + | 0.164999i | ||||
\(172\) | −1122.54 | + | 2951.90i | −0.497634 | + | 1.30860i | ||||
\(173\) | 2742.56 | + | 2250.76i | 1.20528 | + | 0.989147i | 0.999945 | + | 0.0104552i | \(0.00332805\pi\) |
0.205334 | + | 0.978692i | \(0.434172\pi\) | |||||||
\(174\) | −726.284 | + | 555.329i | −0.316434 | + | 0.241950i | ||||
\(175\) | −164.132 | − | 396.249i | −0.0708983 | − | 0.171164i | ||||
\(176\) | −2013.73 | − | 484.066i | −0.862445 | − | 0.207317i | ||||
\(177\) | 1986.41 | − | 4795.62i | 0.843546 | − | 2.03650i | ||||
\(178\) | −595.430 | − | 2237.46i | −0.250727 | − | 0.942160i | ||||
\(179\) | 2466.21 | − | 242.900i | 1.02979 | − | 0.101426i | 0.431018 | − | 0.902343i | \(-0.358155\pi\) |
0.598775 | + | 0.800918i | \(0.295655\pi\) | |||||||
\(180\) | 2656.13 | − | 609.761i | 1.09987 | − | 0.252494i | ||||
\(181\) | −2448.02 | − | 1308.50i | −1.00530 | − | 0.537347i | −0.115316 | − | 0.993329i | \(-0.536788\pi\) |
−0.889989 | + | 0.455982i | \(0.849288\pi\) | |||||||
\(182\) | −442.345 | + | 971.856i | −0.180158 | + | 0.395817i | ||||
\(183\) | −1531.72 | + | 2292.39i | −0.618734 | + | 0.926001i | ||||
\(184\) | −1035.90 | − | 5.30859i | −0.415042 | − | 0.00212692i | ||||
\(185\) | −2602.98 | + | 1739.26i | −1.03446 | + | 0.691204i | ||||
\(186\) | −5683.69 | − | 4087.58i | −2.24058 | − | 1.61138i | ||||
\(187\) | −23.6659 | + | 240.284i | −0.00925466 | + | 0.0939641i | ||||
\(188\) | −3939.94 | − | 1070.14i | −1.52846 | − | 0.415151i | ||||
\(189\) | −252.244 | + | 831.538i | −0.0970798 | + | 0.320029i | ||||
\(190\) | 309.396 | − | 906.361i | 0.118136 | − | 0.346076i | ||||
\(191\) | 636.302i | 0.241053i | 0.992710 | + | 0.120527i | \(0.0384583\pi\) | ||||
−0.992710 | + | 0.120527i | \(0.961542\pi\) | |||||||
\(192\) | −3108.87 | − | 2605.16i | −1.16856 | − | 0.979225i | ||||
\(193\) | 2857.57i | 1.06577i | 0.846189 | + | 0.532883i | \(0.178891\pi\) | ||||
−0.846189 | + | 0.532883i | \(0.821109\pi\) | |||||||
\(194\) | 269.811 | + | 92.1027i | 0.0998520 | + | 0.0340855i | ||||
\(195\) | 660.431 | − | 2177.15i | 0.242536 | − | 0.799533i | ||||
\(196\) | −740.311 | − | 1292.43i | −0.269792 | − | 0.471003i | ||||
\(197\) | −115.169 | + | 1169.33i | −0.0416519 | + | 0.422899i | 0.951636 | + | 0.307229i | \(0.0994017\pi\) |
−0.993288 | + | 0.115671i | \(0.963098\pi\) | |||||||
\(198\) | −1911.01 | + | 2657.21i | −0.685907 | + | 0.953737i | ||||
\(199\) | 1397.60 | − | 933.845i | 0.497855 | − | 0.332656i | −0.281161 | − | 0.959661i | \(-0.590719\pi\) |
0.779015 | + | 0.627005i | \(0.215719\pi\) | |||||||
\(200\) | 300.235 | − | 714.455i | 0.106149 | − | 0.252598i | ||||
\(201\) | 3278.37 | − | 4906.43i | 1.15044 | − | 1.72176i | ||||
\(202\) | −2622.40 | − | 1193.60i | −0.913422 | − | 0.415748i | ||||
\(203\) | 450.628 | + | 240.866i | 0.155802 | + | 0.0832781i | ||||
\(204\) | −251.071 | + | 400.696i | −0.0861692 | + | 0.137521i | ||||
\(205\) | −249.634 | + | 24.5868i | −0.0850497 | + | 0.00837666i | ||||
\(206\) | −496.812 | + | 132.211i | −0.168032 | + | 0.0447165i | ||||
\(207\) | −626.492 | + | 1512.49i | −0.210359 | + | 0.507850i | ||||
\(208\) | −1810.33 | + | 667.274i | −0.603480 | + | 0.222438i | ||||
\(209\) | 440.174 | + | 1062.67i | 0.145682 | + | 0.351707i | ||||
\(210\) | −1623.63 | − | 2123.46i | −0.533529 | − | 0.697773i | ||||
\(211\) | −1176.74 | − | 965.729i | −0.383935 | − | 0.315088i | 0.422552 | − | 0.906339i | \(-0.361134\pi\) |
−0.806488 | + | 0.591251i | \(0.798634\pi\) | |||||||
\(212\) | 1901.93 | − | 853.932i | 0.616155 | − | 0.276643i | ||||
\(213\) | 5426.36 | − | 1646.07i | 1.74558 | − | 0.529516i | ||||
\(214\) | 4159.42 | + | 4456.20i | 1.32866 | + | 1.42346i | ||||
\(215\) | −3688.41 | + | 733.670i | −1.16999 | + | 0.232725i | ||||
\(216\) | −1388.49 | + | 733.042i | −0.437385 | + | 0.230913i | ||||
\(217\) | −763.320 | + | 3837.47i | −0.238790 | + | 1.20048i | ||||
\(218\) | −534.570 | + | 2275.07i | −0.166081 | + | 0.706821i | ||||
\(219\) | −4299.76 | + | 3528.72i | −1.32671 | + | 1.08881i | ||||
\(220\) | −784.760 | − | 2338.04i | −0.240493 | − | 0.716503i | ||||
\(221\) | 106.030 | + | 198.368i | 0.0322731 | + | 0.0603787i | ||||
\(222\) | 4864.53 | − | 5527.86i | 1.47066 | − | 1.67120i | ||||
\(223\) | 4209.84 | − | 4209.84i | 1.26418 | − | 1.26418i | 0.315131 | − | 0.949048i | \(-0.397952\pi\) |
0.949048 | − | 0.315131i | \(-0.102048\pi\) | |||||||
\(224\) | −605.387 | + | 2184.53i | −0.180576 | + | 0.651607i | ||||
\(225\) | −866.013 | − | 866.013i | −0.256596 | − | 0.256596i | ||||
\(226\) | 4996.93 | − | 318.945i | 1.47076 | − | 0.0938756i | ||||
\(227\) | 1006.61 | − | 538.044i | 0.294322 | − | 0.157318i | −0.317627 | − | 0.948216i | \(-0.602886\pi\) |
0.611949 | + | 0.790897i | \(0.290386\pi\) | |||||||
\(228\) | −155.009 | + | 2247.31i | −0.0450251 | + | 0.652772i | ||||
\(229\) | 3342.86 | + | 4073.29i | 0.964640 | + | 1.17542i | 0.984459 | + | 0.175614i | \(0.0561910\pi\) |
−0.0198190 | + | 0.999804i | \(0.506309\pi\) | |||||||
\(230\) | −649.612 | − | 1048.65i | −0.186235 | − | 0.300635i | ||||
\(231\) | 3148.70 | + | 626.315i | 0.896836 | + | 0.178392i | ||||
\(232\) | 263.477 | + | 884.865i | 0.0745607 | + | 0.250406i | ||||
\(233\) | 840.035 | + | 4223.14i | 0.236191 | + | 1.18741i | 0.898770 | + | 0.438421i | \(0.144462\pi\) |
−0.662579 | + | 0.748992i | \(0.730538\pi\) | |||||||
\(234\) | −104.969 | + | 3047.29i | −0.0293250 | + | 0.851315i | ||||
\(235\) | −1411.25 | − | 4652.28i | −0.391745 | − | 1.29141i | ||||
\(236\) | −3813.54 | − | 3596.31i | −1.05187 | − | 0.991948i | ||||
\(237\) | −1974.95 | + | 2406.48i | −0.541294 | + | 0.659568i | ||||
\(238\) | 261.949 | + | 34.9416i | 0.0713431 | + | 0.00951651i | ||||
\(239\) | −1309.50 | + | 542.411i | −0.354411 | + | 0.146802i | −0.552784 | − | 0.833325i | \(-0.686434\pi\) |
0.198373 | + | 0.980127i | \(0.436434\pi\) | |||||||
\(240\) | 663.140 | − | 4784.21i | 0.178356 | − | 1.28675i | ||||
\(241\) | −5610.30 | − | 2323.86i | −1.49955 | − | 0.621134i | −0.526179 | − | 0.850374i | \(-0.676376\pi\) |
−0.973370 | + | 0.229240i | \(0.926376\pi\) | |||||||
\(242\) | −694.433 | − | 402.514i | −0.184462 | − | 0.106920i | ||||
\(243\) | −506.493 | − | 5142.51i | −0.133710 | − | 1.35758i | ||||
\(244\) | 1613.97 | + | 2268.62i | 0.423458 | + | 0.595219i | ||||
\(245\) | 836.075 | − | 1564.19i | 0.218020 | − | 0.407887i | ||||
\(246\) | 552.547 | − | 206.887i | 0.143208 | − | 0.0536205i | ||||
\(247\) | 890.949 | + | 595.313i | 0.229513 | + | 0.153356i | ||||
\(248\) | −5898.36 | + | 3897.58i | −1.51027 | + | 0.997971i | ||||
\(249\) | −5347.06 | − | 8002.44i | −1.36087 | − | 2.03668i | ||||
\(250\) | 4234.77 | − | 691.734i | 1.07132 | − | 0.174996i | ||||
\(251\) | 6487.20 | + | 638.933i | 1.63135 | + | 0.160674i | 0.871829 | − | 0.489811i | \(-0.162934\pi\) |
0.759519 | + | 0.650485i | \(0.225434\pi\) | |||||||
\(252\) | 2834.66 | + | 2190.54i | 0.708598 | + | 0.547583i | ||||
\(253\) | 1417.73 | + | 430.063i | 0.352300 | + | 0.106869i | ||||
\(254\) | 5864.89 | − | 2879.80i | 1.44880 | − | 0.711396i | ||||
\(255\) | −563.074 | −0.138279 | ||||||||
\(256\) | −3574.89 | + | 1999.34i | −0.872777 | + | 0.488119i | ||||
\(257\) | 3055.64 | 0.741657 | 0.370828 | − | 0.928701i | \(-0.379074\pi\) | ||||
0.370828 | + | 0.928701i | \(0.379074\pi\) | |||||||
\(258\) | 7939.98 | − | 3898.72i | 1.91598 | − | 0.940789i | ||||
\(259\) | −3938.08 | − | 1194.60i | −0.944790 | − | 0.286599i | ||||
\(260\) | −1817.94 | − | 1404.85i | −0.433630 | − | 0.335096i | ||||
\(261\) | 1452.04 | + | 143.013i | 0.344364 | + | 0.0339169i | ||||
\(262\) | −3913.53 | + | 639.260i | −0.922818 | + | 0.150739i | ||||
\(263\) | 3653.18 | + | 5467.37i | 0.856519 | + | 1.28187i | 0.957923 | + | 0.287026i | \(0.0926667\pi\) |
−0.101403 | + | 0.994845i | \(0.532333\pi\) | |||||||
\(264\) | 3198.02 | + | 4839.69i | 0.745548 | + | 1.12827i | ||||
\(265\) | 2064.20 | + | 1379.26i | 0.478501 | + | 0.319724i | ||||
\(266\) | 1179.02 | − | 441.455i | 0.271769 | − | 0.101757i | ||||
\(267\) | −3056.98 | + | 5719.21i | −0.700690 | + | 1.31090i | ||||
\(268\) | −3454.40 | − | 4855.56i | −0.787354 | − | 1.10672i | ||||
\(269\) | 153.376 | + | 1557.25i | 0.0347639 | + | 0.352964i | 0.996793 | + | 0.0800185i | \(0.0254979\pi\) |
−0.962029 | + | 0.272946i | \(0.912002\pi\) | |||||||
\(270\) | −1617.59 | − | 937.604i | −0.364605 | − | 0.211336i | ||||
\(271\) | −5976.78 | − | 2475.66i | −1.33972 | − | 0.554929i | −0.406307 | − | 0.913737i | \(-0.633184\pi\) |
−0.933412 | + | 0.358807i | \(0.883184\pi\) | |||||||
\(272\) | 288.094 | + | 380.811i | 0.0642216 | + | 0.0848900i | ||||
\(273\) | 2763.08 | − | 1144.51i | 0.612562 | − | 0.253732i | ||||
\(274\) | −678.092 | − | 90.4511i | −0.149507 | − | 0.0199429i | ||||
\(275\) | −703.121 | + | 856.756i | −0.154181 | + | 0.187870i | ||||
\(276\) | 2110.89 | + | 1990.64i | 0.460364 | + | 0.434140i | ||||
\(277\) | −504.483 | − | 1663.06i | −0.109428 | − | 0.360735i | 0.885075 | − | 0.465449i | \(-0.154107\pi\) |
−0.994502 | + | 0.104714i | \(0.966607\pi\) | |||||||
\(278\) | −11.3974 | + | 330.870i | −0.00245889 | + | 0.0713823i | ||||
\(279\) | 2179.68 | + | 10958.0i | 0.467721 | + | 2.35139i | ||||
\(280\) | −2587.10 | + | 770.334i | −0.552175 | + | 0.164415i | ||||
\(281\) | 287.308 | + | 57.1490i | 0.0609941 | + | 0.0121325i | 0.225493 | − | 0.974245i | \(-0.427601\pi\) |
−0.164499 | + | 0.986377i | \(0.552601\pi\) | |||||||
\(282\) | 6021.91 | + | 9721.01i | 1.27163 | + | 2.05276i | ||||
\(283\) | 4915.71 | + | 5989.81i | 1.03254 | + | 1.25815i | 0.965500 | + | 0.260403i | \(0.0838555\pi\) |
0.0670400 | + | 0.997750i | \(0.478644\pi\) | |||||||
\(284\) | 394.039 | − | 5712.75i | 0.0823306 | − | 1.19362i | ||||
\(285\) | −2365.70 | + | 1264.49i | −0.491690 | + | 0.262814i | ||||
\(286\) | 2753.73 | − | 175.765i | 0.569341 | − | 0.0363399i | ||||
\(287\) | −233.163 | − | 233.163i | −0.0479554 | − | 0.0479554i | ||||
\(288\) | 790.064 | + | 6424.69i | 0.161649 | + | 1.31451i | ||||
\(289\) | −3434.65 | + | 3434.65i | −0.699095 | + | 0.699095i | ||||
\(290\) | −726.299 | + | 825.337i | −0.147068 | + | 0.167122i | ||||
\(291\) | −376.421 | − | 704.234i | −0.0758288 | − | 0.141866i | ||||
\(292\) | 1787.37 | + | 5325.11i | 0.358211 | + | 1.06722i | ||||
\(293\) | 4727.92 | − | 3880.11i | 0.942690 | − | 0.773646i | −0.0314698 | − | 0.999505i | \(-0.510019\pi\) |
0.974160 | + | 0.225859i | \(0.0725188\pi\) | |||||||
\(294\) | −954.242 | + | 4061.14i | −0.189294 | + | 0.805614i | ||||
\(295\) | 1217.73 | − | 6121.95i | 0.240336 | − | 1.20825i | ||||
\(296\) | −3471.62 | − | 6575.77i | −0.681701 | − | 1.29125i | ||||
\(297\) | 2202.37 | − | 438.078i | 0.430284 | − | 0.0855888i | ||||
\(298\) | 3458.32 | + | 3705.08i | 0.672265 | + | 0.720232i | ||||
\(299\) | 1320.73 | − | 400.640i | 0.255451 | − | 0.0774903i | ||||
\(300\) | −1980.18 | + | 889.065i | −0.381085 | + | 0.171101i | ||||
\(301\) | −3821.43 | − | 3136.17i | −0.731772 | − | 0.600550i | ||||
\(302\) | −2289.90 | − | 2994.84i | −0.436322 | − | 0.570641i | ||||
\(303\) | 3088.27 | + | 7455.74i | 0.585533 | + | 1.41360i | ||||
\(304\) | 2065.58 | + | 952.968i | 0.389702 | + | 0.179791i | ||||
\(305\) | −1268.73 | + | 3062.98i | −0.238187 | + | 0.575034i | ||||
\(306\) | 729.248 | − | 194.067i | 0.136236 | − | 0.0362551i | ||||
\(307\) | −3649.68 | + | 359.462i | −0.678495 | + | 0.0668259i | −0.431394 | − | 0.902164i | \(-0.641978\pi\) |
−0.247101 | + | 0.968990i | \(0.579478\pi\) | |||||||
\(308\) | 1721.38 | − | 2747.22i | 0.318456 | − | 0.508239i | ||||
\(309\) | 1269.91 | + | 678.781i | 0.233795 | + | 0.124966i | ||||
\(310\) | −7662.26 | − | 3487.51i | −1.40383 | − | 0.638960i | ||||
\(311\) | −229.529 | + | 343.515i | −0.0418502 | + | 0.0626332i | −0.851805 | − | 0.523859i | \(-0.824492\pi\) |
0.809955 | + | 0.586493i | \(0.199492\pi\) | |||||||
\(312\) | 4981.96 | + | 2093.57i | 0.904000 | + | 0.379888i | ||||
\(313\) | 2231.25 | − | 1490.88i | 0.402933 | − | 0.269231i | −0.337548 | − | 0.941308i | \(-0.609598\pi\) |
0.740481 | + | 0.672077i | \(0.234598\pi\) | |||||||
\(314\) | 1020.32 | − | 1418.74i | 0.183377 | − | 0.254981i | ||||
\(315\) | −418.132 | + | 4245.37i | −0.0747907 | + | 0.759363i | ||||
\(316\) | 1562.57 | + | 2727.92i | 0.278168 | + | 0.485626i | ||||
\(317\) | −2267.67 | + | 7475.49i | −0.401782 | + | 1.32450i | 0.489878 | + | 0.871791i | \(0.337041\pi\) |
−0.891660 | + | 0.452706i | \(0.850459\pi\) | |||||||
\(318\) | −5526.24 | − | 1886.44i | −0.974516 | − | 0.332661i | ||||
\(319\) | − | 1320.40i | − | 0.231751i | ||||||
\(320\) | −4277.76 | − | 2343.19i | −0.747293 | − | 0.409338i | ||||
\(321\) | − | 17073.5i | − | 2.96869i | ||||||
\(322\) | 523.858 | − | 1534.62i | 0.0906629 | − | 0.265593i | ||||
\(323\) | 76.9826 | − | 253.778i | 0.0132614 | − | 0.0437169i | ||||
\(324\) | −3209.96 | − | 871.872i | −0.550405 | − | 0.149498i | ||||
\(325\) | −101.203 | + | 1027.54i | −0.0172731 | + | 0.175377i | ||||
\(326\) | −4639.85 | − | 3336.88i | −0.788274 | − | 0.566910i | ||||
\(327\) | 5442.56 | − | 3636.60i | 0.920411 | − | 0.614999i | ||||
\(328\) | 3.05326 | − | 595.805i | 0.000513989 | − | 0.100298i | ||||
\(329\) | 3550.55 | − | 5313.77i | 0.594979 | − | 0.890449i | ||||
\(330\) | −2861.56 | + | 6287.00i | −0.477344 | + | 1.04875i | ||||
\(331\) | 1891.61 | + | 1011.09i | 0.314115 | + | 0.167898i | 0.620919 | − | 0.783875i | \(-0.286760\pi\) |
−0.306804 | + | 0.951773i | \(0.599260\pi\) | |||||||
\(332\) | −9472.73 | + | 2174.64i | −1.56591 | + | 0.359484i | ||||
\(333\) | −11694.7 | + | 1151.83i | −1.92453 | + | 0.189549i | ||||
\(334\) | −227.176 | − | 853.662i | −0.0372171 | − | 0.139851i | ||||
\(335\) | 2715.47 | − | 6555.73i | 0.442872 | − | 1.06919i | ||||
\(336\) | 5414.53 | − | 3315.89i | 0.879127 | − | 0.538382i | ||||
\(337\) | 13.8137 | + | 33.3492i | 0.00223288 | + | 0.00539064i | 0.924992 | − | 0.379986i | \(-0.124071\pi\) |
−0.922759 | + | 0.385377i | \(0.874071\pi\) | |||||||
\(338\) | −2894.37 | + | 2213.09i | −0.465778 | + | 0.356142i | ||||
\(339\) | −10840.9 | − | 8896.89i | −1.73686 | − | 1.42541i | ||||
\(340\) | −202.111 | + | 531.481i | −0.0322382 | + | 0.0847753i | ||||
\(341\) | 9675.52 | − | 2935.04i | 1.53654 | − | 0.466103i | ||||
\(342\) | 2628.05 | − | 2453.02i | 0.415522 | − | 0.387849i | ||||
\(343\) | 6499.47 | − | 1292.82i | 1.02314 | − | 0.203516i | ||||
\(344\) | −829.976 | − | 8893.90i | −0.130085 | − | 1.39397i | ||||
\(345\) | −674.044 | + | 3388.65i | −0.105186 | + | 0.528808i | ||||
\(346\) | −9768.93 | − | 2295.40i | −1.51786 | − | 0.356651i | ||||
\(347\) | −5717.94 | + | 4692.59i | −0.884596 | + | 0.725970i | −0.962584 | − | 0.270985i | \(-0.912651\pi\) |
0.0779872 | + | 0.996954i | \(0.475151\pi\) | |||||||
\(348\) | 1151.64 | − | 2315.33i | 0.177398 | − | 0.356651i | ||||
\(349\) | −72.7933 | − | 136.187i | −0.0111649 | − | 0.0208880i | 0.876277 | − | 0.481808i | \(-0.160020\pi\) |
−0.887442 | + | 0.460920i | \(0.847520\pi\) | |||||||
\(350\) | 910.692 | + | 801.412i | 0.139082 | + | 0.122392i | ||||
\(351\) | 1479.18 | − | 1479.18i | 0.224937 | − | 0.224937i | ||||
\(352\) | 5716.05 | − | 1281.42i | 0.865530 | − | 0.194034i | ||||
\(353\) | −105.287 | − | 105.287i | −0.0158750 | − | 0.0158750i | 0.699125 | − | 0.715000i | \(-0.253573\pi\) |
−0.715000 | + | 0.699125i | \(0.753573\pi\) | |||||||
\(354\) | 935.198 | + | 14651.8i | 0.140410 | + | 2.19982i | ||||
\(355\) | 6013.68 | − | 3214.38i | 0.899079 | − | 0.480568i | ||||
\(356\) | 4301.04 | + | 4938.33i | 0.640322 | + | 0.735199i | ||||
\(357\) | −469.569 | − | 572.171i | −0.0696140 | − | 0.0848250i | ||||
\(358\) | −5958.57 | + | 3691.18i | −0.879666 | + | 0.544930i | ||||
\(359\) | −6231.98 | − | 1239.62i | −0.916187 | − | 0.182241i | −0.285590 | − | 0.958352i | \(-0.592190\pi\) |
−0.630596 | + | 0.776111i | \(0.717190\pi\) | |||||||
\(360\) | −5983.41 | + | 4859.36i | −0.875981 | + | 0.711418i | ||||
\(361\) | 1091.65 | + | 5488.11i | 0.159156 | + | 0.800132i | ||||
\(362\) | 7846.45 | + | 270.285i | 1.13923 | + | 0.0392427i | ||||
\(363\) | 652.599 | + | 2151.33i | 0.0943596 | + | 0.311062i | ||||
\(364\) | −88.5040 | − | 3018.87i | −0.0127441 | − | 0.434702i | ||||
\(365\) | −4243.30 | + | 5170.47i | −0.608505 | + | 0.741465i | ||||
\(366\) | 1031.06 | − | 7729.60i | 0.147252 | − | 1.10391i | ||||
\(367\) | 4169.83 | − | 1727.20i | 0.593089 | − | 0.245665i | −0.0658902 | − | 0.997827i | \(-0.520989\pi\) |
0.658979 | + | 0.752162i | \(0.270989\pi\) | |||||||
\(368\) | 2636.64 | − | 1277.93i | 0.373490 | − | 0.181023i | ||||
\(369\) | −869.915 | − | 360.331i | −0.122726 | − | 0.0508349i | ||||
\(370\) | 4440.40 | − | 7660.75i | 0.623906 | − | 1.07639i | ||||
\(371\) | 319.877 | + | 3247.77i | 0.0447633 | + | 0.454490i | ||||
\(372\) | 19525.9 | + | 3292.31i | 2.72143 | + | 0.458866i | ||||
\(373\) | −1900.86 | + | 3556.26i | −0.263868 | + | 0.493663i | −0.978610 | − | 0.205726i | \(-0.934044\pi\) |
0.714741 | + | 0.699389i | \(0.246544\pi\) | |||||||
\(374\) | −239.464 | − | 639.553i | −0.0331080 | − | 0.0884238i | ||||
\(375\) | −9992.80 | − | 6676.98i | −1.37607 | − | 0.919460i | ||||
\(376\) | 11337.1 | − | 2194.75i | 1.55496 | − | 0.301026i | ||||
\(377\) | −683.388 | − | 1022.76i | −0.0933588 | − | 0.139721i | ||||
\(378\) | −396.218 | − | 2425.63i | −0.0539133 | − | 0.330055i | ||||
\(379\) | 297.843 | + | 29.3350i | 0.0403672 | + | 0.00397582i | 0.118181 | − | 0.992992i | \(-0.462294\pi\) |
−0.0778134 | + | 0.996968i | \(0.524794\pi\) | |||||||
\(380\) | 344.395 | + | 2686.84i | 0.0464924 | + | 0.362716i | ||||
\(381\) | −17512.2 | − | 5312.28i | −2.35480 | − | 0.714322i | ||||
\(382\) | −793.244 | − | 1615.49i | −0.106246 | − | 0.216376i | ||||
\(383\) | −10921.1 | −1.45703 | −0.728514 | − | 0.685031i | \(-0.759789\pi\) | ||||
−0.728514 | + | 0.685031i | \(0.759789\pi\) | |||||||
\(384\) | 11140.7 | + | 2738.51i | 1.48053 | + | 0.363930i | ||||
\(385\) | 3860.50 | 0.511037 | ||||||||
\(386\) | −3562.38 | − | 7255.02i | −0.469742 | − | 0.956660i | ||||
\(387\) | −13508.6 | − | 4097.80i | −1.77437 | − | 0.538250i | ||||
\(388\) | −799.835 | + | 102.522i | −0.104653 | + | 0.0134143i | ||||
\(389\) | −5645.36 | − | 556.020i | −0.735813 | − | 0.0724712i | −0.276833 | − | 0.960918i | \(-0.589285\pi\) |
−0.458980 | + | 0.888447i | \(0.651785\pi\) | |||||||
\(390\) | 1037.39 | + | 6350.83i | 0.134692 | + | 0.824581i | ||||
\(391\) | −189.771 | − | 284.013i | −0.0245451 | − | 0.0367344i | ||||
\(392\) | 3490.76 | + | 2358.42i | 0.449770 | + | 0.303872i | ||||
\(393\) | 9234.77 | + | 6170.47i | 1.18532 | + | 0.792008i | ||||
\(394\) | −1165.34 | − | 3112.35i | −0.149008 | − | 0.397964i | ||||
\(395\) | −1764.70 | + | 3301.51i | −0.224789 | + | 0.420550i | ||||
\(396\) | 1539.21 | − | 9128.67i | 0.195323 | − | 1.15842i | ||||
\(397\) | −951.749 | − | 9663.27i | −0.120320 | − | 1.22163i | −0.845844 | − | 0.533430i | \(-0.820903\pi\) |
0.725525 | − | 0.688196i | \(-0.241597\pi\) | |||||||
\(398\) | −2384.15 | + | 4113.22i | −0.300268 | + | 0.518033i | ||||
\(399\) | −3257.77 | − | 1349.41i | −0.408753 | − | 0.169311i | ||||
\(400\) | 128.413 | + | 2188.20i | 0.0160516 | + | 0.273525i | ||||
\(401\) | −3597.47 | + | 1490.12i | −0.448003 | + | 0.185569i | −0.595266 | − | 0.803528i | \(-0.702953\pi\) |
0.147264 | + | 0.989097i | \(0.452953\pi\) | |||||||
\(402\) | −2206.79 | + | 16543.8i | −0.273792 | + | 2.05256i | ||||
\(403\) | 5975.44 | − | 7281.09i | 0.738605 | − | 0.899992i | ||||
\(404\) | 8145.93 | − | 238.814i | 1.00316 | − | 0.0294095i | ||||
\(405\) | −1149.78 | − | 3790.32i | −0.141070 | − | 0.465044i | ||||
\(406\) | −1444.36 | − | 49.7535i | −0.176558 | − | 0.00608184i | ||||
\(407\) | 2074.69 | + | 10430.2i | 0.252675 | + | 1.27028i | ||||
\(408\) | 137.911 | − | 1330.31i | 0.0167344 | − | 0.161422i | ||||
\(409\) | −10192.9 | − | 2027.48i | −1.23228 | − | 0.245116i | −0.464353 | − | 0.885650i | \(-0.653713\pi\) |
−0.767930 | + | 0.640534i | \(0.778713\pi\) | |||||||
\(410\) | 603.138 | − | 373.628i | 0.0726508 | − | 0.0450053i | ||||
\(411\) | 1215.54 | + | 1481.14i | 0.145884 | + | 0.177760i | ||||
\(412\) | 1096.52 | − | 955.016i | 0.131121 | − | 0.114200i | ||||
\(413\) | 7236.37 | − | 3867.92i | 0.862176 | − | 0.460842i | ||||
\(414\) | −294.951 | − | 4621.02i | −0.0350146 | − | 0.548577i | ||||
\(415\) | −8183.66 | − | 8183.66i | −0.968000 | − | 0.968000i | ||||
\(416\) | 3764.34 | − | 3950.97i | 0.443659 | − | 0.465654i | ||||
\(417\) | 655.683 | − | 655.683i | 0.0769998 | − | 0.0769998i | ||||
\(418\) | −2442.32 | − | 2149.25i | −0.285785 | − | 0.251491i | ||||
\(419\) | 4143.08 | + | 7751.17i | 0.483062 | + | 0.903745i | 0.998892 | + | 0.0470544i | \(0.0149834\pi\) |
−0.515831 | + | 0.856691i | \(0.672517\pi\) | |||||||
\(420\) | 6769.38 | + | 3367.09i | 0.786458 | + | 0.391184i | ||||
\(421\) | −159.437 | + | 130.846i | −0.0184572 | + | 0.0151474i | −0.643577 | − | 0.765382i | \(-0.722550\pi\) |
0.625119 | + | 0.780529i | \(0.285050\pi\) | |||||||
\(422\) | 4191.52 | + | 984.879i | 0.483508 | + | 0.113609i | ||||
\(423\) | 3560.23 | − | 17898.5i | 0.409230 | − | 2.05734i | ||||
\(424\) | −3764.20 | + | 4539.05i | −0.431145 | + | 0.519896i | ||||
\(425\) | 250.628 | − | 49.8529i | 0.0286052 | − | 0.00568994i | ||||
\(426\) | −11724.8 | + | 10943.9i | −1.33349 | + | 1.24468i | ||||
\(427\) | −4170.50 | + | 1265.11i | −0.472658 | + | 0.143379i | ||||
\(428\) | −16115.5 | − | 6128.40i | −1.82003 | − | 0.692120i | ||||
\(429\) | −5974.24 | − | 4902.93i | −0.672352 | − | 0.551785i | ||||
\(430\) | 8449.77 | − | 6460.83i | 0.947637 | − | 0.724579i | ||||
\(431\) | 3836.38 | + | 9261.84i | 0.428752 | + | 1.03510i | 0.979684 | + | 0.200548i | \(0.0642722\pi\) |
−0.550932 | + | 0.834550i | \(0.685728\pi\) | |||||||
\(432\) | 2611.37 | − | 3592.06i | 0.290832 | − | 0.400054i | ||||
\(433\) | −6275.95 | + | 15151.5i | −0.696542 | + | 1.68160i | 0.0346220 | + | 0.999400i | \(0.488977\pi\) |
−0.731164 | + | 0.682201i | \(0.761023\pi\) | |||||||
\(434\) | −2845.99 | − | 10694.4i | −0.314774 | − | 1.18283i | ||||
\(435\) | 3064.47 | − | 301.824i | 0.337770 | − | 0.0332674i | ||||
\(436\) | −1479.00 | − | 6442.52i | −0.162457 | − | 0.707663i | ||||
\(437\) | −1435.11 | − | 767.083i | −0.157095 | − | 0.0839692i | ||||
\(438\) | 6517.47 | − | 14319.2i | 0.710997 | − | 1.56210i | ||||
\(439\) | 5742.46 | − | 8594.20i | 0.624311 | − | 0.934348i | −0.375660 | − | 0.926758i | \(-0.622584\pi\) |
0.999971 | − | 0.00759012i | \(-0.00241603\pi\) | |||||||
\(440\) | 4907.12 | + | 4957.67i | 0.531676 | + | 0.537154i | ||||
\(441\) | 5535.63 | − | 3698.79i | 0.597735 | − | 0.399394i | ||||
\(442\) | −516.492 | − | 371.450i | −0.0555815 | − | 0.0399730i | ||||
\(443\) | 205.522 | − | 2086.70i | 0.0220421 | − | 0.223797i | −0.977853 | − | 0.209294i | \(-0.932883\pi\) |
0.999895 | − | 0.0145029i | \(-0.00461658\pi\) | |||||||
\(444\) | −5459.14 | + | 20098.9i | −0.583512 | + | 2.14831i | ||||
\(445\) | −2263.69 | + | 7462.38i | −0.241144 | + | 0.794946i | ||||
\(446\) | −5440.07 | + | 15936.4i | −0.577567 | + | 1.69196i | ||||
\(447\) | − | 14195.6i | − | 1.50208i | ||||||
\(448\) | −1186.34 | − | 6300.95i | −0.125110 | − | 0.664490i | ||||
\(449\) | − | 10395.4i | − | 1.09263i | −0.837580 | − | 0.546314i | \(-0.816031\pi\) | ||
0.837580 | − | 0.546314i | \(-0.183969\pi\) | |||||||
\(450\) | 3278.31 | + | 1119.08i | 0.343424 | + | 0.117231i | ||||
\(451\) | −247.353 | + | 815.415i | −0.0258258 | + | 0.0851361i | ||||
\(452\) | −12289.0 | + | 7039.17i | −1.27881 | + | 0.732510i | ||||
\(453\) | −1034.98 | + | 10508.4i | −0.107346 | + | 1.08990i | ||||
\(454\) | −1884.90 | + | 2620.91i | −0.194852 | + | 0.270937i | ||||
\(455\) | 2990.28 | − | 1998.04i | 0.308102 | − | 0.205867i | ||||
\(456\) | −2408.06 | − | 5898.89i | −0.247297 | − | 0.605791i | ||||
\(457\) | −983.909 | + | 1472.52i | −0.100712 | + | 0.150726i | −0.878403 | − | 0.477920i | \(-0.841391\pi\) |
0.777691 | + | 0.628646i | \(0.216391\pi\) | |||||||
\(458\) | −13565.1 | − | 6174.20i | −1.38396 | − | 0.629915i | ||||
\(459\) | −456.593 | − | 244.054i | −0.0464312 | − | 0.0248180i | ||||
\(460\) | 2956.58 | + | 1852.55i | 0.299676 | + | 0.187773i | ||||
\(461\) | 5529.21 | − | 544.580i | 0.558614 | − | 0.0550187i | 0.185229 | − | 0.982695i | \(-0.440697\pi\) |
0.373385 | + | 0.927677i | \(0.378197\pi\) | |||||||
\(462\) | −8774.94 | + | 2335.18i | −0.883652 | + | 0.235157i | ||||
\(463\) | 2546.87 | − | 6148.70i | 0.255644 | − | 0.617180i | −0.742997 | − | 0.669295i | \(-0.766596\pi\) |
0.998641 | + | 0.0521151i | \(0.0165963\pi\) | |||||||
\(464\) | −1772.05 | − | 1918.10i | −0.177296 | − | 0.191908i | ||||
\(465\) | 9023.47 | + | 21784.6i | 0.899900 | + | 2.17255i | ||||
\(466\) | −7397.51 | − | 9674.80i | −0.735371 | − | 0.961752i | ||||
\(467\) | 8949.24 | + | 7344.46i | 0.886770 | + | 0.727753i | 0.963047 | − | 0.269333i | \(-0.0868033\pi\) |
−0.0762769 | + | 0.997087i | \(0.524303\pi\) | |||||||
\(468\) | −3532.39 | − | 7867.55i | −0.348899 | − | 0.777089i | ||||
\(469\) | 8926.19 | − | 2707.73i | 0.878834 | − | 0.266591i | ||||
\(470\) | 9382.74 | + | 10052.2i | 0.920838 | + | 0.986541i | ||||
\(471\) | −4800.57 | + | 954.893i | −0.469636 | + | 0.0934165i | ||||
\(472\) | 14165.4 | + | 4376.43i | 1.38139 | + | 0.426783i | ||||
\(473\) | −2492.27 | + | 12529.5i | −0.242272 | + | 1.21798i | ||||
\(474\) | 2014.11 | − | 8571.81i | 0.195171 | − | 0.830625i | ||||
\(475\) | 941.032 | − | 772.285i | 0.0909000 | − | 0.0745997i | ||||
\(476\) | −708.616 | + | 237.846i | −0.0682340 | + | 0.0229026i | ||||
\(477\) | 4392.93 | + | 8218.59i | 0.421674 | + | 0.788896i | ||||
\(478\) | 2648.45 | − | 3009.59i | 0.253425 | − | 0.287982i | ||||
\(479\) | −2293.18 | + | 2293.18i | −0.218743 | + | 0.218743i | −0.807969 | − | 0.589225i | \(-0.799433\pi\) |
0.589225 | + | 0.807969i | \(0.299433\pi\) | |||||||
\(480\) | 4280.59 | + | 12973.2i | 0.407045 | + | 1.23363i | ||||
\(481\) | 7005.27 | + | 7005.27i | 0.664060 | + | 0.664060i | ||||
\(482\) | 17140.9 | − | 1094.07i | 1.61980 | − | 0.103389i | ||||
\(483\) | −4005.51 | + | 2140.99i | −0.377344 | + | 0.201694i | ||||
\(484\) | 2264.87 | + | 156.220i | 0.212704 | + | 0.0146713i | ||||
\(485\) | −609.161 | − | 742.265i | −0.0570321 | − | 0.0694939i | ||||
\(486\) | 7696.81 | + | 12424.8i | 0.718383 | + | 1.15967i | ||||
\(487\) | 786.298 | + | 156.404i | 0.0731634 | + | 0.0145531i | 0.231536 | − | 0.972826i | \(-0.425625\pi\) |
−0.158373 | + | 0.987379i | \(0.550625\pi\) | |||||||
\(488\) | −6925.82 | − | 3747.69i | −0.642453 | − | 0.347643i | ||||
\(489\) | 3122.89 | + | 15699.8i | 0.288798 | + | 1.45188i | ||||
\(490\) | −172.701 | + | 5013.56i | −0.0159221 | + | 0.462224i | ||||
\(491\) | −705.851 | − | 2326.88i | −0.0648770 | − | 0.213871i | 0.918508 | − | 0.395402i | \(-0.129395\pi\) |
−0.983385 | + | 0.181531i | \(0.941895\pi\) | |||||||
\(492\) | −1144.93 | + | 1214.09i | −0.104914 | + | 0.111251i | ||||
\(493\) | −193.130 | + | 235.329i | −0.0176432 | + | 0.0214984i | ||||
\(494\) | −3004.15 | − | 400.726i | −0.273610 | − | 0.0364970i | ||||
\(495\) | 10184.6 | − | 4218.61i | 0.924778 | − | 0.383056i | ||||
\(496\) | 10116.3 | − | 17248.6i | 0.915794 | − | 1.56146i | ||||
\(497\) | 8281.35 | + | 3430.25i | 0.747423 | + | 0.309593i | ||||
\(498\) | 23551.7 | + | 13651.3i | 2.11923 | + | 1.22837i | ||||
\(499\) | 1017.85 | + | 10334.4i | 0.0913128 | + | 0.927114i | 0.926285 | + | 0.376823i | \(0.122983\pi\) |
−0.834973 | + | 0.550292i | \(0.814517\pi\) | |||||||
\(500\) | −9889.19 | + | 7035.48i | −0.884516 | + | 0.629273i | ||||
\(501\) | −1166.34 | + | 2182.06i | −0.104008 | + | 0.194586i | ||||
\(502\) | −17266.7 | + | 6465.07i | −1.53516 | + | 0.574801i | ||||
\(503\) | −2861.62 | − | 1912.07i | −0.253664 | − | 0.169493i | 0.422236 | − | 0.906486i | \(-0.361245\pi\) |
−0.675901 | + | 0.736993i | \(0.736245\pi\) | |||||||
\(504\) | −9927.66 | − | 2027.68i | −0.877407 | − | 0.179206i | ||||
\(505\) | 5391.39 | + | 8068.79i | 0.475077 | + | 0.711003i | ||||
\(506\) | −4135.57 | + | 675.530i | −0.363337 | + | 0.0593498i | ||||
\(507\) | 10155.9 | + | 1000.26i | 0.889620 | + | 0.0876199i | ||||
\(508\) | −11300.1 | + | 14622.9i | −0.986932 | + | 1.27714i | ||||
\(509\) | 13418.6 | + | 4070.49i | 1.16851 | + | 0.354463i | 0.814154 | − | 0.580649i | \(-0.197201\pi\) |
0.354353 | + | 0.935112i | \(0.384701\pi\) | |||||||
\(510\) | 1429.57 | − | 701.954i | 0.124123 | − | 0.0609471i | ||||
\(511\) | −8792.66 | −0.761183 | ||||||||
\(512\) | 6583.74 | − | 9532.69i | 0.568287 | − | 0.822831i | ||||
\(513\) | −2466.40 | −0.212269 | ||||||||
\(514\) | −7757.89 | + | 3809.31i | −0.665731 | + | 0.326890i | ||||
\(515\) | 1656.97 | + | 502.636i | 0.141776 | + | 0.0430074i | ||||
\(516\) | −15298.3 | + | 19796.7i | −1.30517 | + | 1.68896i | ||||
\(517\) | −16435.3 | − | 1618.74i | −1.39812 | − | 0.137702i | ||||
\(518\) | 11487.5 | − | 1876.45i | 0.974389 | − | 0.159163i | ||||
\(519\) | 15615.2 | + | 23369.9i | 1.32068 | + | 1.97654i | ||||
\(520\) | 6366.86 | + | 1300.40i | 0.536933 | + | 0.109666i | ||||
\(521\) | 8039.26 | + | 5371.66i | 0.676020 | + | 0.451702i | 0.845602 | − | 0.533814i | \(-0.179242\pi\) |
−0.169582 | + | 0.985516i | \(0.554242\pi\) | |||||||
\(522\) | −3864.83 | + | 1447.09i | −0.324059 | + | 0.121336i | ||||
\(523\) | 1920.49 | − | 3592.99i | 0.160569 | − | 0.300403i | −0.788752 | − | 0.614711i | \(-0.789273\pi\) |
0.949321 | + | 0.314308i | \(0.101773\pi\) | |||||||
\(524\) | 9139.01 | − | 6501.78i | 0.761908 | − | 0.542045i | ||||
\(525\) | −333.038 | − | 3381.39i | −0.0276856 | − | 0.281097i | ||||
\(526\) | −16090.8 | − | 9326.73i | −1.33383 | − | 0.773127i | ||||
\(527\) | −2153.71 | − | 892.098i | −0.178021 | − | 0.0737389i | ||||
\(528\) | −14152.7 | − | 8300.54i | −1.16651 | − | 0.684157i | ||||
\(529\) | 9304.45 | − | 3854.03i | 0.764728 | − | 0.316761i | ||||
\(530\) | −6960.19 | − | 928.424i | −0.570436 | − | 0.0760909i | ||||
\(531\) | 14864.0 | − | 18111.8i | 1.21477 | − | 1.48020i | ||||
\(532\) | −2443.05 | + | 2590.62i | −0.199097 | + | 0.211123i | ||||
\(533\) | 230.430 | + | 759.627i | 0.0187262 | + | 0.0617319i | ||||
\(534\) | 631.454 | − | 18331.3i | 0.0511717 | − | 1.48553i | ||||
\(535\) | −4005.39 | − | 20136.5i | −0.323679 | − | 1.62724i | ||||
\(536\) | 14823.4 | + | 8021.23i | 1.19454 | + | 0.646389i | ||||
\(537\) | 19254.8 | + | 3830.01i | 1.54731 | + | 0.307778i | ||||
\(538\) | −2330.75 | − | 3762.46i | −0.186776 | − | 0.301508i | ||||
\(539\) | −3822.18 | − | 4657.34i | −0.305442 | − | 0.372182i | ||||
\(540\) | 5275.71 | + | 363.894i | 0.420427 | + | 0.0289991i | ||||
\(541\) | 14392.4 | − | 7692.88i | 1.14376 | − | 0.611355i | 0.213028 | − | 0.977046i | \(-0.431667\pi\) |
0.930736 | + | 0.365691i | \(0.119167\pi\) | |||||||
\(542\) | 18260.6 | − | 1165.54i | 1.44716 | − | 0.0923692i | ||||
\(543\) | −15549.2 | − | 15549.2i | −1.22888 | − | 1.22888i | ||||
\(544\) | −1206.17 | − | 607.679i | −0.0950628 | − | 0.0478935i | ||||
\(545\) | 5565.81 | − | 5565.81i | 0.437455 | − | 0.437455i | ||||
\(546\) | −5588.32 | + | 6350.35i | −0.438019 | + | 0.497747i | ||||
\(547\) | 5490.07 | + | 10271.2i | 0.429138 | + | 0.802861i | 0.999833 | − | 0.0183018i | \(-0.00582596\pi\) |
−0.570695 | + | 0.821162i | \(0.693326\pi\) | |||||||
\(548\) | 1834.35 | − | 615.697i | 0.142992 | − | 0.0479950i | ||||
\(549\) | −9620.00 | + | 7894.93i | −0.747854 | + | 0.613748i | ||||
\(550\) | 717.064 | − | 3051.74i | 0.0555922 | − | 0.236594i | ||||
\(551\) | −282.937 | + | 1422.42i | −0.0218757 | + | 0.109977i | ||||
\(552\) | −7840.91 | − | 2422.46i | −0.604585 | − | 0.186788i | ||||
\(553\) | −4826.50 | + | 960.051i | −0.371146 | + | 0.0738256i | ||||
\(554\) | 3354.06 | + | 3593.38i | 0.257221 | + | 0.275574i | ||||
\(555\) | −23732.7 | + | 7199.25i | −1.81513 | + | 0.550614i | ||||
\(556\) | −383.542 | − | 854.246i | −0.0292550 | − | 0.0651585i | ||||
\(557\) | −2519.05 | − | 2067.33i | −0.191626 | − | 0.157263i | 0.533688 | − | 0.845681i | \(-0.320806\pi\) |
−0.725314 | + | 0.688418i | \(0.758306\pi\) | |||||||
\(558\) | −19194.7 | − | 25103.7i | −1.45623 | − | 1.90452i | ||||
\(559\) | 4554.29 | + | 10995.0i | 0.344590 | + | 0.831914i | ||||
\(560\) | 5607.99 | − | 5180.98i | 0.423180 | − | 0.390958i | ||||
\(561\) | −731.979 | + | 1767.15i | −0.0550877 | + | 0.132993i | ||||
\(562\) | −800.682 | + | 213.077i | −0.0600974 | + | 0.0159931i | ||||
\(563\) | 17771.9 | − | 1750.38i | 1.33037 | − | 0.131030i | 0.592278 | − | 0.805734i | \(-0.298229\pi\) |
0.738088 | + | 0.674704i | \(0.235729\pi\) | |||||||
\(564\) | −27407.5 | − | 17173.2i | −2.04621 | − | 1.28213i | ||||
\(565\) | −14872.9 | − | 7949.74i | −1.10745 | − | 0.591943i | ||||
\(566\) | −19947.5 | − | 9079.22i | −1.48137 | − | 0.674254i | ||||
\(567\) | 2892.72 | − | 4329.26i | 0.214255 | − | 0.320656i | ||||
\(568\) | 6121.36 | + | 14995.2i | 0.452195 | + | 1.10772i | ||||
\(569\) | −518.063 | + | 346.159i | −0.0381693 | + | 0.0255039i | −0.574509 | − | 0.818499i | \(-0.694807\pi\) |
0.536339 | + | 0.844003i | \(0.319807\pi\) | |||||||
\(570\) | 4429.83 | − | 6159.57i | 0.325518 | − | 0.452624i | ||||
\(571\) | 1441.94 | − | 14640.2i | 0.105680 | − | 1.07298i | −0.785354 | − | 0.619047i | \(-0.787519\pi\) |
0.891034 | − | 0.453937i | \(-0.149981\pi\) | |||||||
\(572\) | −6772.25 | + | 3879.17i | −0.495038 | + | 0.283560i | ||||
\(573\) | −1463.27 | + | 4823.77i | −0.106683 | + | 0.351686i | ||||
\(574\) | 882.644 | + | 301.300i | 0.0641827 | + | 0.0219094i | ||||
\(575\) | − | 1567.99i | − | 0.113721i | ||||||
\(576\) | −10015.2 | − | 15326.5i | −0.724478 | − | 1.10869i | ||||
\(577\) | − | 22999.0i | − | 1.65938i | −0.558228 | − | 0.829688i | \(-0.688518\pi\) | ||
0.558228 | − | 0.829688i | \(-0.311482\pi\) | |||||||
\(578\) | 4438.35 | − | 13001.9i | 0.319396 | − | 0.935657i | ||||
\(579\) | −6571.43 | + | 21663.1i | −0.471674 | + | 1.55490i | ||||
\(580\) | 815.078 | − | 3000.86i | 0.0583522 | − | 0.214835i | ||||
\(581\) | 1491.21 | − | 15140.5i | 0.106482 | − | 1.08113i | ||||
\(582\) | 1833.62 | + | 1318.70i | 0.130594 | + | 0.0939205i | ||||
\(583\) | 7012.07 | − | 4685.31i | 0.498131 | − | 0.332840i | ||||
\(584\) | −11176.4 | − | 11291.6i | −0.791925 | − | 0.800083i | ||||
\(585\) | 5705.46 | − | 8538.82i | 0.403234 | − | 0.603482i | ||||
\(586\) | −7166.47 | + | 15745.1i | −0.505195 | + | 1.10994i | ||||
\(587\) | 13137.0 | + | 7021.86i | 0.923716 | + | 0.493736i | 0.863443 | − | 0.504446i | \(-0.168303\pi\) |
0.0602722 | + | 0.998182i | \(0.480803\pi\) | |||||||
\(588\) | −2640.10 | − | 11500.3i | −0.185163 | − | 0.806573i | ||||
\(589\) | −11052.0 | + | 1088.53i | −0.773157 | + | 0.0761493i | ||||
\(590\) | 4540.24 | + | 17060.9i | 0.316811 | + | 1.19049i | ||||
\(591\) | −3562.14 | + | 8599.76i | −0.247930 | + | 0.598556i | ||||
\(592\) | 17011.7 | + | 12367.2i | 1.18104 | + | 0.858594i | ||||
\(593\) | −4485.39 | − | 10828.7i | −0.310612 | − | 0.749884i | −0.999683 | − | 0.0251899i | \(-0.991981\pi\) |
0.689070 | − | 0.724694i | \(-0.258019\pi\) | |||||||
\(594\) | −5045.40 | + | 3857.80i | −0.348511 | + | 0.266477i | ||||
\(595\) | −688.038 | − | 564.658i | −0.0474064 | − | 0.0389054i | ||||
\(596\) | −13399.2 | − | 5095.41i | −0.920890 | − | 0.350195i | ||||
\(597\) | 12742.6 | − | 3865.43i | 0.873570 | − | 0.264994i | ||||
\(598\) | −2853.71 | + | 2663.66i | −0.195146 | + | 0.182149i | ||||
\(599\) | −9805.39 | + | 1950.41i | −0.668844 | + | 0.133041i | −0.517821 | − | 0.855489i | \(-0.673257\pi\) |
−0.151023 | + | 0.988530i | \(0.548257\pi\) | |||||||
\(600\) | 3919.06 | − | 4725.80i | 0.266659 | − | 0.321550i | ||||
\(601\) | −4911.42 | + | 24691.4i | −0.333346 | + | 1.67584i | 0.343059 | + | 0.939314i | \(0.388537\pi\) |
−0.676405 | + | 0.736530i | \(0.736463\pi\) | |||||||
\(602\) | 13611.8 | + | 3198.35i | 0.921555 | + | 0.216537i | ||||
\(603\) | 20589.8 | − | 16897.6i | 1.39052 | − | 1.14117i | ||||
\(604\) | 9547.28 | + | 4748.81i | 0.643168 | + | 0.319911i | ||||
\(605\) | 1274.37 | + | 2384.18i | 0.0856371 | + | 0.160216i | ||||
\(606\) | −17135.4 | − | 15079.2i | −1.14864 | − | 1.01081i | ||||
\(607\) | −10446.0 | + | 10446.0i | −0.698503 | + | 0.698503i | −0.964088 | − | 0.265584i | \(-0.914435\pi\) |
0.265584 | + | 0.964088i | \(0.414435\pi\) | |||||||
\(608\) | −6432.27 | + | 155.588i | −0.429051 | + | 0.0103782i | ||||
\(609\) | 2862.28 | + | 2862.28i | 0.190452 | + | 0.190452i | ||||
\(610\) | −597.314 | − | 9358.16i | −0.0396468 | − | 0.621149i | ||||
\(611\) | −13568.3 | + | 7252.43i | −0.898390 | + | 0.480199i | ||||
\(612\) | −1609.54 | + | 1401.83i | −0.106310 | + | 0.0925906i | ||||
\(613\) | −117.499 | − | 143.173i | −0.00774185 | − | 0.00943348i | 0.769125 | − | 0.639098i | \(-0.220692\pi\) |
−0.776867 | + | 0.629665i | \(0.783192\pi\) | |||||||
\(614\) | 8817.94 | − | 5462.48i | 0.579582 | − | 0.359036i | ||||
\(615\) | −1949.00 | − | 387.680i | −0.127791 | − | 0.0254192i | ||||
\(616\) | −945.537 | + | 9120.79i | −0.0618454 | + | 0.596570i | ||||
\(617\) | −3122.24 | − | 15696.6i | −0.203722 | − | 1.02418i | −0.938344 | − | 0.345704i | \(-0.887640\pi\) |
0.734621 | − | 0.678477i | \(-0.237360\pi\) | |||||||
\(618\) | −4070.34 | − | 140.210i | −0.264940 | − | 0.00912633i | ||||
\(619\) | −3424.66 | − | 11289.6i | −0.222373 | − | 0.733065i | −0.995148 | − | 0.0983858i | \(-0.968632\pi\) |
0.772775 | − | 0.634680i | \(-0.218868\pi\) | |||||||
\(620\) | 23801.2 | − | 697.779i | 1.54174 | − | 0.0451991i | ||||
\(621\) | −2015.33 | + | 2455.68i | −0.130229 | + | 0.158685i | ||||
\(622\) | 154.504 | − | 1158.28i | 0.00995988 | − | 0.0746670i | ||||
\(623\) | −9470.73 | + | 3922.90i | −0.609048 | + | 0.252276i | ||||
\(624\) | −15258.5 | + | 895.435i | −0.978893 | + | 0.0574457i | ||||
\(625\) | −9396.60 | − | 3892.20i | −0.601382 | − | 0.249101i | ||||
\(626\) | −3806.27 | + | 6566.73i | −0.243018 | + | 0.419264i | ||||
\(627\) | 893.152 | + | 9068.32i | 0.0568884 | + | 0.577598i | ||||
\(628\) | −821.812 | + | 4873.98i | −0.0522195 | + | 0.309702i | ||||
\(629\) | 1155.82 | − | 2162.38i | 0.0732677 | − | 0.137074i | ||||
\(630\) | −4230.88 | − | 11299.7i | −0.267560 | − | 0.714589i | ||||
\(631\) | −5956.70 | − | 3980.14i | −0.375804 | − | 0.251104i | 0.353296 | − | 0.935512i | \(-0.385061\pi\) |
−0.729100 | + | 0.684407i | \(0.760061\pi\) | |||||||
\(632\) | −7367.91 | − | 4977.89i | −0.463734 | − | 0.313306i | ||||
\(633\) | −6699.98 | − | 10027.2i | −0.420696 | − | 0.629616i | ||||
\(634\) | −3561.98 | − | 21806.3i | −0.223130 | − | 1.36599i | ||||
\(635\) | −21900.2 | − | 2156.98i | −1.36863 | − | 0.134798i | ||||
\(636\) | 16382.1 | − | 2099.84i | 1.02137 | − | 0.130918i | ||||
\(637\) | −5371.05 | − | 1629.29i | −0.334080 | − | 0.101342i | ||||
\(638\) | 1646.08 | + | 3352.34i | 0.102145 | + | 0.208026i | ||||
\(639\) | 25596.0 | 1.58460 | ||||||||
\(640\) | 13781.8 | + | 616.212i | 0.851209 | + | 0.0380592i | ||||
\(641\) | −15716.0 | −0.968400 | −0.484200 | − | 0.874957i | \(-0.660889\pi\) | ||||
−0.484200 | + | 0.874957i | \(0.660889\pi\) | |||||||
\(642\) | 21284.6 | + | 43347.4i | 1.30847 | + | 2.66478i | ||||
\(643\) | −7703.48 | − | 2336.83i | −0.472466 | − | 0.143321i | 0.0450674 | − | 0.998984i | \(-0.485650\pi\) |
−0.517534 | + | 0.855663i | \(0.673150\pi\) | |||||||
\(644\) | 583.117 | + | 4549.26i | 0.0356802 | + | 0.278363i | ||||
\(645\) | −29648.8 | − | 2920.15i | −1.80995 | − | 0.178265i | ||||
\(646\) | 120.922 | + | 740.279i | 0.00736472 | + | 0.0450865i | ||||
\(647\) | 4537.55 | + | 6790.93i | 0.275718 | + | 0.412641i | 0.943324 | − | 0.331874i | \(-0.107681\pi\) |
−0.667606 | + | 0.744515i | \(0.732681\pi\) | |||||||
\(648\) | 9236.61 | − | 1788.12i | 0.559951 | − | 0.108401i | ||||
\(649\) | −17630.1 | − | 11780.1i | −1.06632 | − | 0.712494i | ||||
\(650\) | −1024.03 | − | 2734.95i | −0.0617935 | − | 0.165036i | ||||
\(651\) | −14611.5 | + | 27336.3i | −0.879679 | + | 1.64576i | ||||
\(652\) | 15939.9 | + | 2687.66i | 0.957445 | + | 0.161437i | ||||
\(653\) | 2791.49 | + | 28342.5i | 0.167289 | + | 1.69851i | 0.602448 | + | 0.798158i | \(0.294192\pi\) |
−0.435160 | + | 0.900353i | \(0.643308\pi\) | |||||||
\(654\) | −9284.41 | + | 16017.8i | −0.555121 | + | 0.957716i | ||||
\(655\) | 12339.0 | + | 5111.00i | 0.736070 | + | 0.304890i | ||||
\(656\) | 735.007 | + | 1516.48i | 0.0437457 | + | 0.0902570i | ||||
\(657\) | −23196.5 | + | 9608.29i | −1.37744 | + | 0.570556i | ||||
\(658\) | −2390.00 | + | 17917.3i | −0.141598 | + | 1.06153i | ||||
\(659\) | 15096.6 | − | 18395.3i | 0.892385 | − | 1.08737i | −0.103306 | − | 0.994650i | \(-0.532942\pi\) |
0.995692 | − | 0.0927252i | \(-0.0295578\pi\) | |||||||
\(660\) | −572.538 | − | 19529.2i | −0.0337667 | − | 1.15178i | ||||
\(661\) | −4966.51 | − | 16372.4i | −0.292247 | − | 0.963408i | −0.972982 | − | 0.230879i | \(-0.925840\pi\) |
0.680736 | − | 0.732529i | \(-0.261660\pi\) | |||||||
\(662\) | −6063.02 | − | 208.851i | −0.355960 | − | 0.0122617i | ||||
\(663\) | 347.629 | + | 1747.65i | 0.0203632 | + | 0.102373i | ||||
\(664\) | 21339.1 | − | 17330.3i | 1.24716 | − | 1.01287i | ||||
\(665\) | −4158.77 | − | 827.231i | −0.242512 | − | 0.0482386i | ||||
\(666\) | 28255.5 | − | 17503.5i | 1.64396 | − | 1.01839i | ||||
\(667\) | 1185.05 | + | 1443.99i | 0.0687935 | + | 0.0838251i | ||||
\(668\) | 1640.99 | + | 1884.13i | 0.0950473 | + | 0.109131i | ||||
\(669\) | 41595.7 | − | 22233.4i | 2.40386 | − | 1.28489i | ||||
\(670\) | 1278.44 | + | 20029.4i | 0.0737171 | + | 1.15493i | ||||
\(671\) | 7963.56 | + | 7963.56i | 0.458167 | + | 0.458167i | ||||
\(672\) | −9613.06 | + | 15168.6i | −0.551833 | + | 0.870747i | ||||
\(673\) | 6028.57 | − | 6028.57i | 0.345296 | − | 0.345296i | −0.513058 | − | 0.858354i | \(-0.671487\pi\) |
0.858354 | + | 0.513058i | \(0.171487\pi\) | |||||||
\(674\) | −76.6458 | − | 67.4485i | −0.00438025 | − | 0.00385463i | ||||
\(675\) | −1120.31 | − | 2095.94i | −0.0638824 | − | 0.119515i | ||||
\(676\) | 4589.51 | − | 9227.00i | 0.261124 | − | 0.524977i | ||||
\(677\) | −1954.06 | + | 1603.66i | −0.110932 | + | 0.0910393i | −0.688224 | − | 0.725498i | \(-0.741609\pi\) |
0.577292 | + | 0.816538i | \(0.304109\pi\) | |||||||
\(678\) | 38614.9 | + | 9073.31i | 2.18731 | + | 0.513950i | ||||
\(679\) | 246.255 | − | 1238.01i | 0.0139181 | − | 0.0699710i | ||||
\(680\) | −149.435 | − | 1601.32i | −0.00842731 | − | 0.0903058i | ||||
\(681\) | 8868.37 | − | 1764.03i | 0.499026 | − | 0.0992624i | ||||
\(682\) | −20906.0 | + | 19513.6i | −1.17380 | + | 1.09562i | ||||
\(683\) | −23404.0 | + | 7099.52i | −1.31117 | + | 0.397739i | −0.867046 | − | 0.498227i | \(-0.833984\pi\) |
−0.444122 | + | 0.895966i | \(0.646484\pi\) | |||||||
\(684\) | −3614.23 | + | 9504.15i | −0.202037 | + | 0.531287i | ||||
\(685\) | 1781.08 | + | 1461.69i | 0.0993453 | + | 0.0815306i | ||||
\(686\) | −14889.6 | + | 11384.9i | −0.828701 | + | 0.633638i | ||||
\(687\) | 15974.9 | + | 38566.8i | 0.887162 | + | 2.14180i | ||||
\(688\) | 13194.8 | + | 21545.8i | 0.731171 | + | 1.19393i | ||||
\(689\) | 3006.50 | − | 7258.33i | 0.166239 | − | 0.401336i | ||||
\(690\) | −2513.13 | − | 9443.64i | −0.138657 | − | 0.521034i | ||||
\(691\) | 20862.2 | − | 2054.75i | 1.14853 | − | 0.113121i | 0.494214 | − | 0.869340i | \(-0.335456\pi\) |
0.654318 | + | 0.756220i | \(0.272956\pi\) | |||||||
\(692\) | 27663.6 | − | 6350.68i | 1.51967 | − | 0.348868i | ||||
\(693\) | 12780.1 | + | 6831.12i | 0.700544 | + | 0.374448i | ||||
\(694\) | 8667.11 | − | 19042.1i | 0.474062 | − | 1.04154i | ||||
\(695\) | 619.490 | − | 927.132i | 0.0338109 | − | 0.0506016i | ||||
\(696\) | −37.4814 | + | 7314.01i | −0.00204128 | + | 0.398329i | ||||
\(697\) | 163.352 | − | 109.148i | 0.00887717 | − | 0.00593153i | ||||
\(698\) | 354.590 | + | 255.013i | 0.0192284 | + | 0.0138286i | ||||
\(699\) | −3343.51 | + | 33947.2i | −0.180920 | + | 1.83691i | ||||
\(700\) | −3311.21 | − | 899.371i | −0.178788 | − | 0.0485615i | ||||
\(701\) | 4658.24 | − | 15356.2i | 0.250983 | − | 0.827381i | −0.737407 | − | 0.675448i | \(-0.763950\pi\) |
0.988391 | − | 0.151933i | \(-0.0485498\pi\) | |||||||
\(702\) | −1911.44 | + | 5599.48i | −0.102767 | + | 0.301052i | ||||
\(703\) | − | 11680.6i | − | 0.626661i | ||||||
\(704\) | −12914.8 | + | 10379.3i | −0.691401 | + | 0.555658i | ||||
\(705\) | − | 38514.1i | − | 2.05748i | ||||||
\(706\) | 398.566 | + | 136.055i | 0.0212468 | + | 0.00725281i | ||||
\(707\) | −3703.07 | + | 12207.4i | −0.196985 | + | 0.649371i | ||||
\(708\) | −20640.0 | − | 36033.2i | −1.09562 | − | 1.91273i | ||||
\(709\) | 16.7751 | − | 170.320i | 0.000888579 | − | 0.00902189i | −0.994730 | − | 0.102527i | \(-0.967307\pi\) |
0.995619 | + | 0.0935052i | \(0.0298072\pi\) | |||||||
\(710\) | −11260.8 | + | 15657.8i | −0.595224 | + | 0.827645i | ||||
\(711\) | −11684.0 | + | 7807.00i | −0.616293 | + | 0.411794i | ||||
\(712\) | −17076.1 | − | 7175.91i | −0.898813 | − | 0.377709i | ||||
\(713\) | −7946.93 | + | 11893.4i | −0.417412 | + | 0.624701i | ||||
\(714\) | 1905.47 | + | 867.283i | 0.0998746 | + | 0.0454584i | ||||
\(715\) | −8196.22 | − | 4380.97i | −0.428701 | − | 0.229145i | ||||
\(716\) | 10526.5 | − | 16799.7i | 0.549431 | − | 0.876862i | ||||
\(717\) | −11174.6 | + | 1100.60i | −0.582039 | + | 0.0573258i | ||||
\(718\) | 17367.6 | − | 4621.84i | 0.902718 | − | 0.240231i | ||||
\(719\) | −819.170 | + | 1977.65i | −0.0424894 | + | 0.102579i | −0.943699 | − | 0.330804i | \(-0.892680\pi\) |
0.901210 | + | 0.433383i | \(0.142680\pi\) | |||||||
\(720\) | 9133.21 | − | 19796.5i | 0.472742 | − | 1.02468i | ||||
\(721\) | 871.054 | + | 2102.91i | 0.0449927 | + | 0.108622i | ||||
\(722\) | −9613.29 | − | 12572.7i | −0.495526 | − | 0.648071i | ||||
\(723\) | −37187.3 | − | 30518.8i | −1.91288 | − | 1.56986i | ||||
\(724\) | −20258.1 | + | 9095.53i | −1.03990 | + | 0.466896i | ||||
\(725\) | −1337.29 | + | 405.663i | −0.0685045 | + | 0.0207806i | ||||
\(726\) | −4338.81 | − | 4648.39i | −0.221802 | − | 0.237628i | ||||
\(727\) | 9664.54 | − | 1922.40i | 0.493037 | − | 0.0980711i | 0.0576912 | − | 0.998334i | \(-0.481626\pi\) |
0.435346 | + | 0.900263i | \(0.356626\pi\) | |||||||
\(728\) | 3988.16 | + | 7554.18i | 0.203037 | + | 0.384583i | ||||
\(729\) | 5796.18 | − | 29139.4i | 0.294477 | − | 1.48043i | ||||
\(730\) | 4327.44 | − | 18417.1i | 0.219405 | − | 0.933762i | ||||
\(731\) | 2276.82 | − | 1868.53i | 0.115200 | − | 0.0945420i | ||||
\(732\) | 7018.36 | + | 20909.8i | 0.354380 | + | 1.05581i | ||||
\(733\) | 16398.6 | + | 30679.7i | 0.826327 | + | 1.54595i | 0.837775 | + | 0.546015i | \(0.183856\pi\) |
−0.0114483 | + | 0.999934i | \(0.503644\pi\) | |||||||
\(734\) | −8433.46 | + | 9583.45i | −0.424094 | + | 0.481923i | ||||
\(735\) | 9935.33 | − | 9935.33i | 0.498599 | − | 0.498599i | ||||
\(736\) | −5100.98 | + | 6531.45i | −0.255468 | + | 0.327109i | ||||
\(737\) | −17044.5 | − | 17044.5i | −0.851890 | − | 0.851890i | ||||
\(738\) | 2657.81 | − | 169.643i | 0.132568 | − | 0.00846158i | ||||
\(739\) | −27467.4 | + | 14681.6i | −1.36726 | + | 0.730814i | −0.981442 | − | 0.191761i | \(-0.938580\pi\) |
−0.385816 | + | 0.922576i | \(0.626080\pi\) | |||||||
\(740\) | −1723.37 | + | 24985.3i | −0.0856111 | + | 1.24118i | ||||
\(741\) | 5385.22 | + | 6561.91i | 0.266978 | + | 0.325314i | ||||
\(742\) | −4860.94 | − | 7846.89i | −0.240500 | − | 0.388232i | ||||
\(743\) | 23741.1 | + | 4722.40i | 1.17224 | + | 0.233174i | 0.742543 | − | 0.669798i | \(-0.233620\pi\) |
0.429699 | + | 0.902972i | \(0.358620\pi\) | |||||||
\(744\) | −53678.2 | + | 15983.2i | −2.64508 | + | 0.787596i | ||||
\(745\) | −3330.25 | − | 16742.3i | −0.163773 | − | 0.823343i | ||||
\(746\) | 392.644 | − | 11398.6i | 0.0192704 | − | 0.559426i | ||||
\(747\) | −12611.0 | − | 41572.8i | −0.617686 | − | 2.03624i | ||||
\(748\) | 1405.27 | + | 1325.22i | 0.0686920 | + | 0.0647790i | ||||
\(749\) | 17121.5 | − | 20862.7i | 0.835257 | − | 1.01776i | ||||
\(750\) | 33694.3 | + | 4494.50i | 1.64045 | + | 0.218821i | ||||
\(751\) | −10120.1 | + | 4191.87i | −0.491727 | + | 0.203680i | −0.614747 | − | 0.788724i | \(-0.710742\pi\) |
0.123020 | + | 0.992404i | \(0.460742\pi\) | |||||||
\(752\) | −26047.4 | + | 19705.6i | −1.26310 | + | 0.955569i | ||||
\(753\) | 47709.8 | + | 19762.0i | 2.30895 | + | 0.956399i | ||||
\(754\) | 3010.06 | + | 1744.72i | 0.145384 | + | 0.0842692i | ||||
\(755\) | 1244.57 | + | 12636.4i | 0.0599929 | + | 0.609118i | ||||
\(756\) | 4029.85 | + | 5664.42i | 0.193868 | + | 0.272504i | ||||
\(757\) | −5110.30 | + | 9560.69i | −0.245359 | + | 0.459035i | −0.974212 | − | 0.225636i | \(-0.927554\pi\) |
0.728852 | + | 0.684671i | \(0.240054\pi\) | |||||||
\(758\) | −792.756 | + | 296.827i | −0.0379871 | + | 0.0142233i | ||||
\(759\) | 9758.72 | + | 6520.57i | 0.466692 | + | 0.311834i | ||||
\(760\) | −4223.92 | − | 6392.21i | −0.201602 | − | 0.305092i | ||||
\(761\) | −13976.9 | − | 20917.9i | −0.665784 | − | 0.996417i | −0.998572 | − | 0.0534152i | \(-0.982989\pi\) |
0.332788 | − | 0.943002i | \(-0.392011\pi\) | |||||||
\(762\) | 51083.9 | − | 8344.37i | 2.42858 | − | 0.396699i | ||||
\(763\) | 10297.3 | + | 1014.19i | 0.488580 | + | 0.0481209i | ||||
\(764\) | 4027.89 | + | 3112.63i | 0.190738 | + | 0.147397i | ||||
\(765\) | −2432.19 | − | 737.798i | −0.114949 | − | 0.0348695i | ||||
\(766\) | 27727.3 | − | 13614.7i | 1.30787 | − | 0.642194i | ||||
\(767\) | −19752.9 | −0.929904 | ||||||||
\(768\) | −31698.8 | + | 6935.83i | −1.48937 | + | 0.325879i | ||||
\(769\) | −2363.19 | −0.110818 | −0.0554088 | − | 0.998464i | \(-0.517646\pi\) | ||||
−0.0554088 | + | 0.998464i | \(0.517646\pi\) | |||||||
\(770\) | −9801.32 | + | 4812.68i | −0.458721 | + | 0.225243i | ||||
\(771\) | 23164.7 | + | 7026.92i | 1.08204 | + | 0.328234i | ||||
\(772\) | 18088.9 | + | 13978.5i | 0.843307 | + | 0.651682i | ||||
\(773\) | −19658.9 | − | 1936.23i | −0.914723 | − | 0.0900924i | −0.370309 | − | 0.928909i | \(-0.620748\pi\) |
−0.544415 | + | 0.838816i | \(0.683248\pi\) | |||||||
\(774\) | 39405.2 | − | 6436.70i | 1.82996 | − | 0.298918i | ||||
\(775\) | −5945.15 | − | 8897.54i | −0.275556 | − | 0.412399i | ||||
\(776\) | 1902.87 | − | 1257.40i | 0.0880271 | − | 0.0581676i | ||||
\(777\) | −27107.2 | − | 18112.5i | −1.25156 | − | 0.836268i | ||||
\(778\) | 15026.0 | − | 5626.11i | 0.692428 | − | 0.259262i | ||||
\(779\) | 441.192 | − | 825.412i | 0.0202918 | − | 0.0379634i | ||||
\(780\) | −10551.0 | − | 14830.7i | −0.484343 | − | 0.680800i | ||||
\(781\) | −2270.42 | − | 23052.0i | −0.104023 | − | 1.05616i | ||||
\(782\) | 835.869 | + | 484.495i | 0.0382233 | + | 0.0221554i | ||||
\(783\) | 2615.78 | + | 1083.49i | 0.119387 | + | 0.0494518i | ||||
\(784\) | −11802.7 | − | 1635.97i | −0.537660 | − | 0.0745250i | ||||
\(785\) | −5437.77 | + | 2252.40i | −0.247239 | + | 0.102410i | ||||
\(786\) | −31138.3 | − | 4153.56i | −1.41306 | − | 0.188489i | ||||
\(787\) | −18291.0 | + | 22287.6i | −0.828467 | + | 1.00949i | 0.171238 | + | 0.985230i | \(0.445223\pi\) |
−0.999706 | + | 0.0242606i | \(0.992277\pi\) | |||||||
\(788\) | 6838.65 | + | 6449.09i | 0.309158 | + | 0.291547i | ||||
\(789\) | 15121.5 | + | 49848.8i | 0.682305 | + | 2.24926i | ||||
\(790\) | 364.518 | − | 10582.1i | 0.0164164 | − | 0.476574i | ||||
\(791\) | −4324.91 | − | 21742.8i | −0.194407 | − | 0.977351i | ||||
\(792\) | 7472.38 | + | 25095.4i | 0.335252 | + | 1.12592i | ||||
\(793\) | 10290.1 | + | 2046.82i | 0.460795 | + | 0.0916579i | ||||
\(794\) | 14463.0 | + | 23347.3i | 0.646441 | + | 1.04353i | ||||
\(795\) | 12476.8 | + | 15203.0i | 0.556611 | + | 0.678233i | ||||
\(796\) | 925.313 | − | 13415.1i | 0.0412021 | − | 0.597345i | ||||
\(797\) | −5054.73 | + | 2701.81i | −0.224652 | + | 0.120079i | −0.579884 | − | 0.814699i | \(-0.696902\pi\) |
0.355231 | + | 0.934778i | \(0.384402\pi\) | |||||||
\(798\) | 9953.29 | − | 635.300i | 0.441532 | − | 0.0281822i | ||||
\(799\) | 2692.42 | + | 2692.42i | 0.119213 | + | 0.119213i | ||||
\(800\) | −3053.93 | − | 5395.47i | −0.134966 | − | 0.238448i | ||||
\(801\) | −20698.5 | + | 20698.5i | −0.913041 | + | 0.913041i | ||||
\(802\) | 7275.87 | − | 8268.00i | 0.320349 | − | 0.364032i | ||||
\(803\) | 10710.9 | + | 20038.7i | 0.470709 | + | 0.880634i | ||||
\(804\) | −15021.5 | − | 44753.6i | −0.658914 | − | 1.96311i | ||||
\(805\) | −4221.82 | + | 3464.76i | −0.184844 | + | 0.151698i | ||||
\(806\) | −6093.93 | + | 25935.0i | −0.266314 | + | 1.13340i | ||||
\(807\) | −2418.41 | + | 12158.2i | −0.105492 | + | 0.530344i | ||||
\(808\) | −20383.8 | + | 10761.4i | −0.887498 | + | 0.468546i | ||||
\(809\) | 39417.5 | − | 7840.64i | 1.71304 | − | 0.340744i | 0.761473 | − | 0.648196i | \(-0.224476\pi\) |
0.951564 | + | 0.307452i | \(0.0994763\pi\) | |||||||
\(810\) | 7644.35 | + | 8189.78i | 0.331599 | + | 0.355259i | ||||
\(811\) | 38786.3 | − | 11765.7i | 1.67937 | − | 0.509433i | 0.700458 | − | 0.713694i | \(-0.252979\pi\) |
0.978916 | + | 0.204261i | \(0.0654792\pi\) | |||||||
\(812\) | 3729.07 | − | 1674.29i | 0.161164 | − | 0.0723597i | ||||
\(813\) | −39616.5 | − | 32512.4i | −1.70899 | − | 1.40253i | ||||
\(814\) | −18270.2 | − | 23894.5i | −0.786693 | − | 1.02887i | ||||
\(815\) | 7366.26 | + | 17783.7i | 0.316600 | + | 0.764340i | ||||
\(816\) | 1308.29 | + | 3549.42i | 0.0561267 | + | 0.152273i | ||||
\(817\) | 5369.65 | − | 12963.5i | 0.229939 | − | 0.555122i | ||||
\(818\) | 28405.9 | − | 7559.36i | 1.21417 | − | 0.323113i | ||||
\(819\) | 13434.8 | − | 1323.21i | 0.573198 | − | 0.0564551i | ||||
\(820\) | −1065.51 | + | 1700.49i | −0.0453770 | + | 0.0724193i | ||||
\(821\) | 4694.17 | + | 2509.09i | 0.199547 | + | 0.106660i | 0.568144 | − | 0.822929i | \(-0.307662\pi\) |
−0.368597 | + | 0.929589i | \(0.620162\pi\) | |||||||
\(822\) | −4932.57 | − | 2245.08i | −0.209298 | − | 0.0952630i | ||||
\(823\) | −12891.6 | + | 19293.7i | −0.546019 | + | 0.817175i | −0.997163 | − | 0.0752764i | \(-0.976016\pi\) |
0.451144 | + | 0.892451i | \(0.351016\pi\) | |||||||
\(824\) | −1593.36 | + | 3791.64i | −0.0673633 | + | 0.160301i | ||||
\(825\) | −7300.56 | + | 4878.08i | −0.308088 | + | 0.205858i | ||||
\(826\) | −13550.3 | + | 18841.4i | −0.570793 | + | 0.793674i | ||||
\(827\) | 3718.42 | − | 37753.7i | 0.156351 | − | 1.58746i | −0.522149 | − | 0.852854i | \(-0.674869\pi\) |
0.678499 | − | 0.734601i | \(-0.262631\pi\) | |||||||
\(828\) | 6509.62 | + | 11364.5i | 0.273219 | + | 0.476985i | ||||
\(829\) | −2160.23 | + | 7121.31i | −0.0905039 | + | 0.298351i | −0.990493 | − | 0.137560i | \(-0.956074\pi\) |
0.899990 | + | 0.435912i | \(0.143574\pi\) | |||||||
\(830\) | 30979.4 | + | 10575.1i | 1.29555 | + | 0.442251i | ||||
\(831\) | − | 13767.7i | − | 0.574724i | ||||||
\(832\) | −4631.73 | + | 14723.8i | −0.193000 | + | 0.613529i | ||||
\(833\) | 1389.11i | 0.0577788i | ||||||||
\(834\) | −847.290 | + | 2482.10i | −0.0351790 | + | 0.103055i | ||||
\(835\) | −863.670 | + | 2847.14i | −0.0357947 | + | 0.117999i | ||||
\(836\) | 8880.11 | + | 2411.96i | 0.367374 | + | 0.0997841i | ||||
\(837\) | −2125.05 | + | 21576.0i | −0.0877570 | + | 0.891012i | ||||
\(838\) | −20181.7 | − | 14514.3i | −0.831940 | − | 0.598314i | ||||
\(839\) | −25731.1 | + | 17193.0i | −1.05880 | + | 0.707470i | −0.957806 | − | 0.287417i | \(-0.907203\pi\) |
−0.100998 | + | 0.994887i | \(0.532203\pi\) | |||||||
\(840\) | −21384.2 | − | 109.585i | −0.878362 | − | 0.00450126i | ||||
\(841\) | −12624.9 | + | 18894.4i | −0.517646 | + | 0.774711i | ||||
\(842\) | 241.670 | − | 530.963i | 0.00989135 | − | 0.0217318i | ||||
\(843\) | 2046.64 | + | 1093.95i | 0.0836180 | + | 0.0446948i | ||||
\(844\) | −11869.5 | + | 2724.87i | −0.484083 | + | 0.111130i | ||||
\(845\) | 12212.5 | − | 1202.82i | 0.497185 | − | 0.0489684i | ||||
\(846\) | 13274.1 | + | 49880.4i | 0.539449 | + | 2.02710i | ||||
\(847\) | −1359.95 | + | 3283.21i | −0.0551694 | + | 0.133191i | ||||
\(848\) | 3898.22 | − | 16216.7i | 0.157860 | − | 0.656702i | ||||
\(849\) | 23491.2 | + | 56712.9i | 0.949608 | + | 2.29256i | ||||
\(850\) | −574.163 | + | 439.014i | −0.0231690 | + | 0.0177154i | ||||
\(851\) | −11629.9 | − | 9544.38i | −0.468468 | − | 0.384462i | ||||
\(852\) | 16124.5 | − | 42401.9i | 0.648377 | − | 1.70500i | ||||
\(853\) | −5025.74 | + | 1524.54i | −0.201733 | + | 0.0611949i | −0.389534 | − | 0.921012i | \(-0.627364\pi\) |
0.187801 | + | 0.982207i | \(0.439864\pi\) | |||||||
\(854\) | 9011.23 | − | 8411.09i | 0.361075 | − | 0.337028i | ||||
\(855\) | −11875.5 | + | 2362.18i | −0.475009 | + | 0.0944852i | ||||
\(856\) | 48555.3 | − | 4531.16i | 1.93877 | − | 0.180925i | ||||
\(857\) | −903.695 | + | 4543.18i | −0.0360206 | + | 0.181088i | −0.994607 | − | 0.103713i | \(-0.966928\pi\) |
0.958587 | + | 0.284801i | \(0.0919275\pi\) | |||||||
\(858\) | 21280.1 | + | 5000.16i | 0.846724 | + | 0.198954i | ||||
\(859\) | 29811.1 | − | 24465.3i | 1.18410 | − | 0.971765i | 0.184161 | − | 0.982896i | \(-0.441043\pi\) |
0.999938 | + | 0.0111309i | \(0.00354314\pi\) | |||||||
\(860\) | −13398.5 | + | 26937.1i | −0.531262 | + | 1.06808i | ||||
\(861\) | −1231.40 | − | 2303.79i | −0.0487411 | − | 0.0911882i | ||||
\(862\) | −21286.3 | − | 18732.0i | −0.841084 | − | 0.740157i | ||||
\(863\) | −5533.39 | + | 5533.39i | −0.218261 | + | 0.218261i | −0.807765 | − | 0.589504i | \(-0.799323\pi\) |
0.589504 | + | 0.807765i | \(0.299323\pi\) | |||||||
\(864\) | −2151.89 | + | 12375.2i | −0.0847325 | + | 0.487285i | ||||
\(865\) | 23899.1 | + | 23899.1i | 0.939414 | + | 0.939414i | ||||
\(866\) | −2954.70 | − | 46291.6i | −0.115941 | − | 1.81646i | ||||
\(867\) | −33936.4 | + | 18139.4i | −1.32934 | + | 0.710549i | ||||
\(868\) | 20557.8 | + | 23603.9i | 0.803890 | + | 0.923003i | ||||
\(869\) | 8067.44 | + | 9830.21i | 0.314924 | + | 0.383736i | ||||
\(870\) | −7404.02 | + | 4586.60i | −0.288529 | + | 0.178736i | ||||
\(871\) | −22024.0 | − | 4380.84i | −0.856778 | − | 0.170424i | ||||
\(872\) | 11786.5 | + | 14513.0i | 0.457732 | + | 0.563613i | ||||
\(873\) | −703.187 | − | 3535.16i | −0.0272615 | − | 0.137053i | ||||
\(874\) | 4599.84 | + | 158.450i | 0.178023 | + | 0.00613231i | ||||
\(875\) | −5514.76 | − | 18179.7i | −0.213066 | − | 0.702385i | ||||
\(876\) | 1304.01 | + | 44479.7i | 0.0502950 | + | 1.71556i | ||||
\(877\) | 9511.67 | − | 11590.0i | 0.366233 | − | 0.446256i | −0.556991 | − | 0.830519i | \(-0.688044\pi\) |
0.923224 | + | 0.384262i | \(0.125544\pi\) | |||||||
\(878\) | −3865.45 | + | 28978.4i | −0.148579 | + | 1.11386i | ||||
\(879\) | 44765.0 | − | 18542.3i | 1.71773 | − | 0.711508i | ||||
\(880\) | −18639.0 | − | 6469.45i | −0.714001 | − | 0.247824i | ||||
\(881\) | −10321.4 | − | 4275.28i | −0.394708 | − | 0.163493i | 0.176496 | − | 0.984301i | \(-0.443524\pi\) |
−0.571204 | + | 0.820808i | \(0.693524\pi\) | |||||||
\(882\) | −9443.17 | + | 16291.7i | −0.360508 | + | 0.621962i | ||||
\(883\) | −3832.90 | − | 38916.1i | −0.146079 | − | 1.48316i | −0.736704 | − | 0.676215i | \(-0.763619\pi\) |
0.590626 | − | 0.806946i | \(-0.298881\pi\) | |||||||
\(884\) | 1774.37 | + | 299.181i | 0.0675098 | + | 0.0113830i | ||||
\(885\) | 23309.9 | − | 43609.8i | 0.885372 | − | 1.65641i | ||||
\(886\) | 2079.58 | + | 5554.08i | 0.0788543 | + | 0.210601i | ||||
\(887\) | −28759.0 | − | 19216.2i | −1.08865 | − | 0.727414i | −0.124355 | − | 0.992238i | \(-0.539686\pi\) |
−0.964297 | + | 0.264824i | \(0.914686\pi\) | |||||||
\(888\) | −11196.1 | − | 57834.1i | −0.423105 | − | 2.18557i | ||||
\(889\) | −16071.6 | − | 24052.8i | −0.606325 | − | 0.907429i | ||||
\(890\) | −3555.73 | − | 21768.1i | −0.133920 | − | 0.819850i | ||||
\(891\) | −13390.3 | − | 1318.83i | −0.503469 | − | 0.0495874i | ||||
\(892\) | −6055.46 | − | 47242.4i | −0.227300 | − | 1.77331i | ||||
\(893\) | 17358.3 | + | 5265.58i | 0.650474 | + | 0.197319i | ||||
\(894\) | 17696.9 | + | 36040.9i | 0.662051 | + | 1.34831i | ||||
\(895\) | 23607.5 | 0.881690 | ||||||||
\(896\) | 10867.0 | + | 14518.4i | 0.405180 | + | 0.541322i | ||||
\(897\) | 10933.7 | 0.406986 | ||||||||
\(898\) | 12959.4 | + | 26392.6i | 0.481582 | + | 0.980772i | ||||
\(899\) | 12199.5 | + | 3700.69i | 0.452589 | + | 0.137291i | ||||
\(900\) | −9718.31 | + | 1245.68i | −0.359937 | + | 0.0461362i | ||||
\(901\) | −1935.03 | − | 190.583i | −0.0715483 | − | 0.00704690i | ||||
\(902\) | −388.535 | − | 2378.60i | −0.0143424 | − | 0.0878033i | ||||
\(903\) | −21757.9 | − | 32563.1i | −0.801837 | − | 1.20003i | ||||
\(904\) | 22424.8 | − | 33191.5i | 0.825040 | − | 1.22117i | ||||
\(905\) | −21986.5 | − | 14690.9i | −0.807577 | − | 0.539606i | ||||
\(906\) | −10472.5 | − | 27969.7i | −0.384025 | − | 1.02564i | ||||
\(907\) | 9676.49 | − | 18103.4i | 0.354248 | − | 0.662751i | −0.640174 | − | 0.768230i | \(-0.721138\pi\) |
0.994422 | + | 0.105479i | \(0.0336376\pi\) | |||||||
\(908\) | 1518.18 | − | 9003.97i | 0.0554874 | − | 0.329083i | ||||
\(909\) | 3570.47 | + | 36251.6i | 0.130281 | + | 1.32276i | ||||
\(910\) | −5101.09 | + | 8800.59i | −0.185823 | + | 0.320590i | ||||
\(911\) | −26188.2 | − | 10847.5i | −0.952419 | − | 0.394505i | −0.148279 | − | 0.988946i | \(-0.547373\pi\) |
−0.804139 | + | 0.594441i | \(0.797373\pi\) | |||||||
\(912\) | 13467.6 | + | 11974.5i | 0.488987 | + | 0.434776i | ||||
\(913\) | −36322.2 | + | 15045.1i | −1.31664 | + | 0.545368i | ||||
\(914\) | 662.303 | − | 4965.14i | 0.0239683 | − | 0.179685i | ||||
\(915\) | −16661.9 | + | 20302.6i | −0.601996 | + | 0.733534i | ||||
\(916\) | 42137.0 | − | 1235.33i | 1.51992 | − | 0.0445594i | ||||
\(917\) | 5096.42 | + | 16800.7i | 0.183532 | + | 0.605023i | ||||
\(918\) | 1463.48 | + | 50.4121i | 0.0526166 | + | 0.00181247i | ||||
\(919\) | 7906.79 | + | 39750.1i | 0.283810 | + | 1.42681i | 0.814954 | + | 0.579526i | \(0.196762\pi\) |
−0.531144 | + | 0.847281i | \(0.678238\pi\) | |||||||
\(920\) | −9815.85 | − | 1017.59i | −0.351760 | − | 0.0364664i | ||||
\(921\) | −28494.6 | − | 5667.93i | −1.01947 | − | 0.202785i | ||||
\(922\) | −13359.1 | + | 8275.59i | −0.477177 | + | 0.295599i | ||||
\(923\) | −13689.4 | − | 16680.6i | −0.488182 | − | 0.594852i | ||||
\(924\) | 19367.3 | − | 16868.0i | 0.689543 | − | 0.600558i | ||||
\(925\) | 9926.19 | − | 5305.66i | 0.352834 | − | 0.188593i | ||||
\(926\) | 1199.06 | + | 18785.8i | 0.0425525 | + | 0.666674i | ||||
\(927\) | 4595.96 | + | 4595.96i | 0.162838 | + | 0.162838i | ||||
\(928\) | 6890.19 | + | 2660.69i | 0.243730 | + | 0.0941178i | ||||
\(929\) | 17955.2 | − | 17955.2i | 0.634114 | − | 0.634114i | −0.314983 | − | 0.949097i | \(-0.601999\pi\) |
0.949097 | + | 0.314983i | \(0.101999\pi\) | |||||||
\(930\) | −50067.1 | − | 44059.2i | −1.76534 | − | 1.55350i | ||||
\(931\) | 3119.51 | + | 5836.20i | 0.109815 | + | 0.205450i | ||||
\(932\) | 30842.4 | + | 15341.0i | 1.08399 | + | 0.539175i | ||||
\(933\) | −2530.01 | + | 2076.33i | −0.0887770 | + | 0.0728574i | ||||
\(934\) | −31876.9 | − | 7490.09i | −1.11675 | − | 0.262402i | ||||
\(935\) | −448.726 | + | 2255.90i | −0.0156951 | + | 0.0789046i | ||||
\(936\) | 18776.3 | + | 15571.1i | 0.655688 | + | 0.543756i | ||||
\(937\) | −12248.6 | + | 2436.40i | −0.427049 | + | 0.0849452i | −0.403935 | − | 0.914788i | \(-0.632358\pi\) |
−0.0231134 | + | 0.999733i | \(0.507358\pi\) | |||||||
\(938\) | −19286.9 | + | 18002.4i | −0.671363 | + | 0.626651i | ||||
\(939\) | 20343.5 | − | 6171.13i | 0.707013 | − | 0.214470i | ||||
\(940\) | −36353.1 | − | 13824.3i | −1.26139 | − | 0.479681i | ||||
\(941\) | −11458.2 | − | 9403.54i | −0.396948 | − | 0.325767i | 0.414652 | − | 0.909980i | \(-0.363903\pi\) |
−0.811600 | + | 0.584213i | \(0.801403\pi\) | |||||||
\(942\) | 10997.6 | − | 8408.97i | 0.380384 | − | 0.290848i | ||||
\(943\) | −461.322 | − | 1113.73i | −0.0159308 | − | 0.0384603i | ||||
\(944\) | −41420.0 | + | 6548.07i | −1.42808 | + | 0.225764i | ||||
\(945\) | −3167.83 | + | 7647.82i | −0.109047 | + | 0.263263i | ||||
\(946\) | −9292.27 | − | 34917.7i | −0.319364 | − | 1.20008i | ||||
\(947\) | −24271.9 | + | 2390.57i | −0.832872 | + | 0.0820307i | −0.505459 | − | 0.862851i | \(-0.668677\pi\) |
−0.327413 | + | 0.944881i | \(0.606177\pi\) | |||||||
\(948\) | 5572.44 | + | 24273.6i | 0.190912 | + | 0.831614i | ||||
\(949\) | 18667.7 | + | 9978.08i | 0.638544 | + | 0.341309i | ||||
\(950\) | −1426.39 | + | 3133.87i | −0.0487140 | + | 0.107027i | ||||
\(951\) | −34382.1 | + | 51456.4i | −1.17236 | + | 1.75456i | ||||
\(952\) | 1502.58 | − | 1487.25i | 0.0511542 | − | 0.0506326i | ||||
\(953\) | −24795.2 | + | 16567.6i | −0.842806 | + | 0.563145i | −0.900334 | − | 0.435199i | \(-0.856678\pi\) |
0.0575282 | + | 0.998344i | \(0.481678\pi\) | |||||||
\(954\) | −21398.8 | − | 15389.5i | −0.726216 | − | 0.522279i | ||||
\(955\) | −594.142 | + | 6032.42i | −0.0201319 | + | 0.204403i | ||||
\(956\) | −2972.18 | + | 10942.6i | −0.100551 | + | 0.370199i | ||||
\(957\) | 3036.47 | − | 10009.9i | 0.102566 | − | 0.338113i | ||||
\(958\) | 2963.31 | − | 8680.87i | 0.0999374 | − | 0.292762i | ||||
\(959\) | 3028.82i | 0.101987i | ||||||||
\(960\) | −27040.9 | − | 27600.9i | −0.909105 | − | 0.927934i | ||||
\(961\) | 67829.6i | 2.27685i | ||||||||
\(962\) | −26518.6 | − | 9052.40i | −0.888767 | − | 0.303390i | ||||
\(963\) | 22371.5 | − | 73748.9i | 0.748609 | − | 2.46783i | ||||
\(964\) | −42154.6 | + | 24146.3i | −1.40841 | + | 0.806743i | ||||
\(965\) | −2668.24 | + | 27091.1i | −0.0890089 | + | 0.903722i | ||||
\(966\) | 7500.42 | − | 10429.2i | 0.249816 | − | 0.347363i | ||||
\(967\) | 32964.7 | − | 22026.3i | 1.09625 | − | 0.732490i | 0.130365 | − | 0.991466i | \(-0.458385\pi\) |
0.965884 | + | 0.258976i | \(0.0833850\pi\) | |||||||
\(968\) | −5944.96 | + | 2426.87i | −0.197395 | + | 0.0805811i | ||||
\(969\) | 1167.20 | − | 1746.84i | 0.0386954 | − | 0.0579118i | ||||
\(970\) | 2471.92 | + | 1125.11i | 0.0818234 | + | 0.0372423i | ||||
\(971\) | 31697.9 | + | 16942.9i | 1.04761 | + | 0.559962i | 0.903051 | − | 0.429534i | \(-0.141322\pi\) |
0.144564 | + | 0.989495i | \(0.453822\pi\) | |||||||
\(972\) | −35030.5 | − | 21949.7i | −1.15597 | − | 0.724317i | ||||
\(973\) | 1458.73 | − | 143.672i | 0.0480624 | − | 0.00473373i | ||||
\(974\) | −2191.29 | + | 583.144i | −0.0720878 | + | 0.0191839i | ||||
\(975\) | −3130.19 | + | 7556.95i | −0.102817 | + | 0.248222i | ||||
\(976\) | 22255.8 | + | 880.848i | 0.729909 | + | 0.0288886i | ||||
\(977\) | −17846.6 | − | 43085.5i | −0.584404 | − | 1.41088i | −0.888784 | − | 0.458325i | \(-0.848449\pi\) |
0.304380 | − | 0.952551i | \(-0.401551\pi\) | |||||||
\(978\) | −27500.8 | − | 35966.7i | −0.899159 | − | 1.17596i | ||||
\(979\) | 20477.3 | + | 16805.3i | 0.668494 | + | 0.548619i | ||||
\(980\) | −5811.67 | − | 12944.1i | −0.189436 | − | 0.421922i | ||||
\(981\) | 28274.2 | − | 8576.88i | 0.920209 | − | 0.279142i | ||||
\(982\) | 4692.86 | + | 5027.71i | 0.152500 | + | 0.163381i | ||||
\(983\) | −20958.3 | + | 4168.86i | −0.680025 | + | 0.135265i | −0.523005 | − | 0.852330i | \(-0.675189\pi\) |
−0.157021 | + | 0.987595i | \(0.550189\pi\) | |||||||
\(984\) | 1393.29 | − | 4509.74i | 0.0451388 | − | 0.146103i | ||||
\(985\) | −2183.70 | + | 10978.2i | −0.0706381 | + | 0.355122i | ||||
\(986\) | 196.959 | − | 838.235i | 0.00636152 | − | 0.0270739i | ||||
\(987\) | 39136.3 | − | 32118.4i | 1.26213 | − | 1.03580i | ||||
\(988\) | 8126.72 | − | 2727.72i | 0.261686 | − | 0.0878344i | ||||
\(989\) | −8519.54 | − | 15938.9i | −0.273919 | − | 0.512466i | ||||
\(990\) | −20598.4 | + | 23407.1i | −0.661272 | + | 0.751442i | ||||
\(991\) | −32167.8 | + | 32167.8i | −1.03113 | + | 1.03113i | −0.0316254 | + | 0.999500i | \(0.510068\pi\) |
−0.999500 | + | 0.0316254i | \(0.989932\pi\) | |||||||
\(992\) | −4180.97 | + | 56403.5i | −0.133816 | + | 1.80525i | ||||
\(993\) | 12015.0 | + | 12015.0i | 0.383973 | + | 0.383973i | ||||
\(994\) | −25301.6 | + | 1614.95i | −0.807362 | + | 0.0515324i | ||||
\(995\) | 14121.8 | − | 7548.27i | 0.449941 | − | 0.240499i | ||||
\(996\) | −76813.1 | − | 5298.21i | −2.44369 | − | 0.168554i | ||||
\(997\) | −14282.9 | − | 17403.8i | −0.453705 | − | 0.552841i | 0.495046 | − | 0.868867i | \(-0.335151\pi\) |
−0.948751 | + | 0.316026i | \(0.897651\pi\) | |||||||
\(998\) | −15467.5 | − | 24968.8i | −0.490596 | − | 0.791956i | ||||
\(999\) | −22365.1 | − | 4448.70i | −0.708309 | − | 0.140891i |
(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 | 128.4.k.a.5.7 | ✓ | 752 | |
128.77 | even | 32 | inner | 128.4.k.a.77.7 | yes | 752 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.4.k.a.5.7 | ✓ | 752 | 1.1 | even | 1 | trivial | |
128.4.k.a.77.7 | yes | 752 | 128.77 | even | 32 | inner |