Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.107 | ||
Character | \(\chi\) | \(=\) | 300.47 |
Dual form | 300.3.u.a.83.107 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.93669 | − | 0.499237i | 0.968344 | − | 0.249618i | ||||
\(3\) | 2.81411 | − | 1.03962i | 0.938036 | − | 0.346538i | ||||
\(4\) | 3.50153 | − | 1.93373i | 0.875381 | − | 0.483433i | ||||
\(5\) | −3.20343 | − | 3.83902i | −0.640685 | − | 0.767804i | ||||
\(6\) | 4.93104 | − | 3.41832i | 0.821839 | − | 0.569719i | ||||
\(7\) | −0.788388 | + | 0.788388i | −0.112627 | + | 0.112627i | −0.761174 | − | 0.648547i | \(-0.775377\pi\) |
0.648547 | + | 0.761174i | \(0.275377\pi\) | |||||||
\(8\) | 5.81597 | − | 5.49313i | 0.726997 | − | 0.686641i | ||||
\(9\) | 6.83840 | − | 5.85118i | 0.759822 | − | 0.650131i | ||||
\(10\) | −8.12062 | − | 5.83571i | −0.812062 | − | 0.583571i | ||||
\(11\) | −1.35557 | + | 4.17201i | −0.123233 | + | 0.379274i | −0.993575 | − | 0.113175i | \(-0.963898\pi\) |
0.870342 | + | 0.492448i | \(0.163898\pi\) | |||||||
\(12\) | 7.84333 | − | 9.08197i | 0.653611 | − | 0.756831i | ||||
\(13\) | 0.492914 | + | 0.251152i | 0.0379165 | + | 0.0193194i | 0.472846 | − | 0.881145i | \(-0.343227\pi\) |
−0.434929 | + | 0.900465i | \(0.643227\pi\) | |||||||
\(14\) | −1.13327 | + | 1.92045i | −0.0809479 | + | 0.137175i | ||||
\(15\) | −13.0059 | − | 7.47308i | −0.867059 | − | 0.498205i | ||||
\(16\) | 8.52136 | − | 13.5420i | 0.532585 | − | 0.846376i | ||||
\(17\) | −1.20107 | + | 7.58326i | −0.0706512 | + | 0.446074i | 0.926850 | + | 0.375431i | \(0.122505\pi\) |
−0.997502 | + | 0.0706432i | \(0.977495\pi\) | |||||||
\(18\) | 10.3227 | − | 14.7459i | 0.573485 | − | 0.819216i | ||||
\(19\) | 5.55692 | − | 4.03734i | 0.292470 | − | 0.212492i | −0.431868 | − | 0.901937i | \(-0.642146\pi\) |
0.724338 | + | 0.689445i | \(0.242146\pi\) | |||||||
\(20\) | −18.6405 | − | 7.24785i | −0.932026 | − | 0.362393i | ||||
\(21\) | −1.39899 | + | 3.03823i | −0.0666185 | + | 0.144678i | ||||
\(22\) | −0.542493 | + | 8.75663i | −0.0246588 | + | 0.398029i | ||||
\(23\) | −4.10342 | − | 8.05341i | −0.178410 | − | 0.350148i | 0.784432 | − | 0.620215i | \(-0.212954\pi\) |
−0.962842 | + | 0.270066i | \(0.912954\pi\) | |||||||
\(24\) | 10.6560 | − | 21.5046i | 0.444002 | − | 0.896026i | ||||
\(25\) | −4.47612 | + | 24.5960i | −0.179045 | + | 0.983841i | ||||
\(26\) | 1.08001 | + | 0.240323i | 0.0415387 | + | 0.00924319i | ||||
\(27\) | 13.1610 | − | 23.5751i | 0.487445 | − | 0.873153i | ||||
\(28\) | −1.23603 | + | 4.28509i | −0.0441439 | + | 0.153039i | ||||
\(29\) | −7.78101 | − | 5.65323i | −0.268311 | − | 0.194939i | 0.445492 | − | 0.895286i | \(-0.353029\pi\) |
−0.713803 | + | 0.700347i | \(0.753029\pi\) | |||||||
\(30\) | −28.9192 | − | 7.98001i | −0.963973 | − | 0.266000i | ||||
\(31\) | 21.8380 | + | 30.0574i | 0.704451 | + | 0.969593i | 0.999899 | + | 0.0142342i | \(0.00453105\pi\) |
−0.295448 | + | 0.955359i | \(0.595469\pi\) | |||||||
\(32\) | 9.74255 | − | 30.4809i | 0.304455 | − | 0.952527i | ||||
\(33\) | 0.522570 | + | 13.1498i | 0.0158354 | + | 0.398477i | ||||
\(34\) | 1.45974 | + | 15.2860i | 0.0429336 | + | 0.449589i | ||||
\(35\) | 5.55218 | + | 0.501093i | 0.158634 | + | 0.0143169i | ||||
\(36\) | 12.6302 | − | 33.7117i | 0.350840 | − | 0.936436i | ||||
\(37\) | −26.4798 | + | 51.9695i | −0.715670 | + | 1.40458i | 0.190507 | + | 0.981686i | \(0.438987\pi\) |
−0.906178 | + | 0.422897i | \(0.861013\pi\) | |||||||
\(38\) | 8.74644 | − | 10.5933i | 0.230169 | − | 0.278771i | ||||
\(39\) | 1.64821 | + | 0.194329i | 0.0422619 | + | 0.00498278i | ||||
\(40\) | −39.7193 | − | 4.73081i | −0.992981 | − | 0.118270i | ||||
\(41\) | −3.02253 | + | 0.982079i | −0.0737202 | + | 0.0239531i | −0.345645 | − | 0.938365i | \(-0.612340\pi\) |
0.271925 | + | 0.962319i | \(0.412340\pi\) | |||||||
\(42\) | −1.19261 | + | 6.58253i | −0.0283955 | + | 0.156727i | ||||
\(43\) | 44.3696 | + | 44.3696i | 1.03185 | + | 1.03185i | 0.999476 | + | 0.0323763i | \(0.0103075\pi\) |
0.0323763 | + | 0.999476i | \(0.489693\pi\) | |||||||
\(44\) | 3.32099 | + | 17.2297i | 0.0754771 | + | 0.391584i | ||||
\(45\) | −44.3691 | − | 7.50893i | −0.985980 | − | 0.166865i | ||||
\(46\) | −11.9676 | − | 13.5484i | −0.260165 | − | 0.294530i | ||||
\(47\) | −5.67337 | − | 35.8203i | −0.120710 | − | 0.762133i | −0.971572 | − | 0.236744i | \(-0.923920\pi\) |
0.850862 | − | 0.525389i | \(-0.176080\pi\) | |||||||
\(48\) | 9.90154 | − | 46.9676i | 0.206282 | − | 0.978493i | ||||
\(49\) | 47.7569i | 0.974630i | ||||||||
\(50\) | 3.61039 | + | 49.8695i | 0.0722078 | + | 0.997390i | ||||
\(51\) | 4.50373 | + | 22.5887i | 0.0883084 | + | 0.442917i | ||||
\(52\) | 2.21161 | − | 0.0737475i | 0.0425310 | − | 0.00141822i | ||||
\(53\) | 3.94885 | + | 24.9320i | 0.0745065 | + | 0.470416i | 0.996527 | + | 0.0832739i | \(0.0265376\pi\) |
−0.922020 | + | 0.387142i | \(0.873462\pi\) | |||||||
\(54\) | 13.7192 | − | 52.2282i | 0.254060 | − | 0.967189i | ||||
\(55\) | 20.3589 | − | 8.16068i | 0.370162 | − | 0.148376i | ||||
\(56\) | −0.254530 | + | 8.91596i | −0.00454518 | + | 0.159214i | ||||
\(57\) | 11.4405 | − | 17.1386i | 0.200710 | − | 0.300677i | ||||
\(58\) | −17.8917 | − | 7.06399i | −0.308477 | − | 0.121793i | ||||
\(59\) | 40.2939 | − | 13.0923i | 0.682948 | − | 0.221903i | 0.0530622 | − | 0.998591i | \(-0.483102\pi\) |
0.629885 | + | 0.776688i | \(0.283102\pi\) | |||||||
\(60\) | −59.9914 | − | 1.01728i | −0.999856 | − | 0.0169547i | ||||
\(61\) | −9.60907 | + | 29.5737i | −0.157526 | + | 0.484814i | −0.998408 | − | 0.0564037i | \(-0.982037\pi\) |
0.840882 | + | 0.541218i | \(0.182037\pi\) | |||||||
\(62\) | 57.2991 | + | 47.3095i | 0.924179 | + | 0.763056i | ||||
\(63\) | −0.778316 | + | 10.0043i | −0.0123542 | + | 0.158799i | ||||
\(64\) | 3.65113 | − | 63.8958i | 0.0570489 | − | 0.998371i | ||||
\(65\) | −0.614836 | − | 2.69685i | −0.00945901 | − | 0.0414900i | ||||
\(66\) | 7.57689 | + | 25.2061i | 0.114801 | + | 0.381910i | ||||
\(67\) | 13.7699 | − | 86.9397i | 0.205521 | − | 1.29761i | −0.641942 | − | 0.766753i | \(-0.721871\pi\) |
0.847463 | − | 0.530854i | \(-0.178129\pi\) | |||||||
\(68\) | 10.4584 | + | 28.8755i | 0.153800 | + | 0.424640i | ||||
\(69\) | −19.9199 | − | 18.3972i | −0.288694 | − | 0.266626i | ||||
\(70\) | 11.0030 | − | 1.80139i | 0.157186 | − | 0.0257342i | ||||
\(71\) | −74.9113 | − | 54.4262i | −1.05509 | − | 0.766567i | −0.0819149 | − | 0.996639i | \(-0.526104\pi\) |
−0.973173 | + | 0.230073i | \(0.926104\pi\) | |||||||
\(72\) | 7.63072 | − | 71.5945i | 0.105982 | − | 0.994368i | ||||
\(73\) | 22.0583 | + | 43.2918i | 0.302168 | + | 0.593038i | 0.991304 | − | 0.131594i | \(-0.0420096\pi\) |
−0.689136 | + | 0.724632i | \(0.742010\pi\) | |||||||
\(74\) | −25.3380 | + | 113.869i | −0.342406 | + | 1.53876i | ||||
\(75\) | 12.9741 | + | 73.8693i | 0.172988 | + | 0.984924i | ||||
\(76\) | 11.6506 | − | 24.8824i | 0.153297 | − | 0.327401i | ||||
\(77\) | −2.22045 | − | 4.35788i | −0.0288370 | − | 0.0565958i | ||||
\(78\) | 3.28909 | − | 0.446495i | 0.0421679 | − | 0.00572430i | ||||
\(79\) | −62.3148 | − | 45.2744i | −0.788795 | − | 0.573093i | 0.118810 | − | 0.992917i | \(-0.462092\pi\) |
−0.907606 | + | 0.419824i | \(0.862092\pi\) | |||||||
\(80\) | −79.2856 | + | 10.6672i | −0.991070 | + | 0.133340i | ||||
\(81\) | 12.5275 | − | 80.0254i | 0.154660 | − | 0.987968i | ||||
\(82\) | −5.36341 | + | 3.41094i | −0.0654074 | + | 0.0415968i | ||||
\(83\) | −2.83446 | + | 17.8961i | −0.0341501 | + | 0.215615i | −0.998862 | − | 0.0476922i | \(-0.984813\pi\) |
0.964712 | + | 0.263307i | \(0.0848133\pi\) | |||||||
\(84\) | 0.976526 | + | 13.3437i | 0.0116253 | + | 0.158854i | ||||
\(85\) | 32.9598 | − | 19.6815i | 0.387762 | − | 0.231547i | ||||
\(86\) | 108.081 | + | 63.7792i | 1.25676 | + | 0.741619i | ||||
\(87\) | −27.7738 | − | 7.81955i | −0.319239 | − | 0.0898799i | ||||
\(88\) | 15.0334 | + | 31.7106i | 0.170834 | + | 0.360348i | ||||
\(89\) | −30.1575 | + | 92.8153i | −0.338849 | + | 1.04287i | 0.625947 | + | 0.779866i | \(0.284713\pi\) |
−0.964795 | + | 0.263003i | \(0.915287\pi\) | |||||||
\(90\) | −89.6778 | + | 7.60821i | −0.996420 | + | 0.0845357i | ||||
\(91\) | −0.586613 | + | 0.190602i | −0.00644630 | + | 0.00209453i | ||||
\(92\) | −29.9414 | − | 20.2643i | −0.325450 | − | 0.220264i | ||||
\(93\) | 92.7025 | + | 61.8816i | 0.996801 | + | 0.665394i | ||||
\(94\) | −28.8703 | − | 66.5403i | −0.307131 | − | 0.707876i | ||||
\(95\) | −33.3006 | − | 8.39980i | −0.350533 | − | 0.0884190i | ||||
\(96\) | −4.27177 | − | 95.9049i | −0.0444976 | − | 0.999009i | ||||
\(97\) | 3.95279 | + | 24.9570i | 0.0407505 | + | 0.257288i | 0.999650 | − | 0.0264577i | \(-0.00842274\pi\) |
−0.958899 | + | 0.283746i | \(0.908423\pi\) | |||||||
\(98\) | 23.8420 | + | 92.4902i | 0.243286 | + | 0.943778i | ||||
\(99\) | 15.1412 | + | 36.4615i | 0.152942 | + | 0.368298i | ||||
\(100\) | 31.8889 | + | 94.7792i | 0.318889 | + | 0.947792i | ||||
\(101\) | − | 159.424i | − | 1.57846i | −0.614100 | − | 0.789229i | \(-0.710481\pi\) | ||
0.614100 | − | 0.789229i | \(-0.289519\pi\) | |||||||
\(102\) | 19.9994 | + | 41.4989i | 0.196073 | + | 0.406852i | ||||
\(103\) | 23.6775 | + | 149.494i | 0.229879 | + | 1.45140i | 0.784931 | + | 0.619583i | \(0.212698\pi\) |
−0.555052 | + | 0.831816i | \(0.687302\pi\) | |||||||
\(104\) | 4.24639 | − | 1.24694i | 0.0408306 | − | 0.0119898i | ||||
\(105\) | 16.1454 | − | 4.36200i | 0.153765 | − | 0.0415429i | ||||
\(106\) | 20.0947 | + | 46.3142i | 0.189572 | + | 0.436926i | ||||
\(107\) | 12.2534 | + | 12.2534i | 0.114518 | + | 0.114518i | 0.762044 | − | 0.647526i | \(-0.224196\pi\) |
−0.647526 | + | 0.762044i | \(0.724196\pi\) | |||||||
\(108\) | 0.495658 | − | 107.999i | 0.00458942 | − | 0.999989i | ||||
\(109\) | −128.065 | + | 41.6110i | −1.17491 | + | 0.381752i | −0.830474 | − | 0.557057i | \(-0.811931\pi\) |
−0.344438 | + | 0.938809i | \(0.611931\pi\) | |||||||
\(110\) | 35.3547 | − | 25.9686i | 0.321406 | − | 0.236078i | ||||
\(111\) | −20.4887 | + | 173.777i | −0.184583 | + | 1.56556i | ||||
\(112\) | 3.95823 | + | 17.3945i | 0.0353413 | + | 0.155308i | ||||
\(113\) | −53.5448 | + | 105.088i | −0.473848 | + | 0.929979i | 0.523127 | + | 0.852255i | \(0.324765\pi\) |
−0.996975 | + | 0.0777243i | \(0.975235\pi\) | |||||||
\(114\) | 13.6005 | − | 38.9036i | 0.119302 | − | 0.341260i | ||||
\(115\) | −17.7722 | + | 41.5516i | −0.154541 | + | 0.361318i | ||||
\(116\) | −38.1772 | − | 4.74856i | −0.329114 | − | 0.0409358i | ||||
\(117\) | 4.84028 | − | 1.16665i | 0.0413699 | − | 0.00997134i | ||||
\(118\) | 71.5006 | − | 45.4719i | 0.605937 | − | 0.385355i | ||||
\(119\) | −5.03164 | − | 6.92546i | −0.0422827 | − | 0.0581971i | ||||
\(120\) | −116.692 | + | 27.9797i | −0.972437 | + | 0.233164i | ||||
\(121\) | 82.3230 | + | 59.8111i | 0.680355 | + | 0.494307i | ||||
\(122\) | −3.84551 | + | 62.0722i | −0.0315206 | + | 0.508788i | ||||
\(123\) | −7.48473 | + | 5.90594i | −0.0608515 | + | 0.0480158i | ||||
\(124\) | 134.589 | + | 63.0179i | 1.08540 | + | 0.508209i | ||||
\(125\) | 108.763 | − | 61.6077i | 0.870108 | − | 0.492861i | ||||
\(126\) | 3.48716 | + | 19.7638i | 0.0276759 | + | 0.156856i | ||||
\(127\) | −103.763 | − | 203.647i | −0.817034 | − | 1.60352i | −0.797200 | − | 0.603716i | \(-0.793686\pi\) |
−0.0198342 | − | 0.999803i | \(-0.506314\pi\) | |||||||
\(128\) | −24.8280 | − | 125.569i | −0.193969 | − | 0.981008i | ||||
\(129\) | 170.988 | + | 78.7336i | 1.32549 | + | 0.610338i | ||||
\(130\) | −2.53711 | − | 4.91602i | −0.0195163 | − | 0.0378155i | ||||
\(131\) | −11.7081 | + | 8.50641i | −0.0893746 | + | 0.0649344i | −0.631575 | − | 0.775315i | \(-0.717591\pi\) |
0.542201 | + | 0.840249i | \(0.317591\pi\) | |||||||
\(132\) | 27.2579 | + | 45.0337i | 0.206499 | + | 0.341164i | ||||
\(133\) | −1.19802 | + | 7.56400i | −0.00900767 | + | 0.0568722i | ||||
\(134\) | −16.7355 | − | 175.250i | −0.124892 | − | 1.30783i | ||||
\(135\) | −132.666 | + | 24.9958i | −0.982709 | + | 0.185154i | ||||
\(136\) | 34.6704 | + | 50.7017i | 0.254929 | + | 0.372806i | ||||
\(137\) | −162.583 | − | 82.8404i | −1.18674 | − | 0.604675i | −0.254697 | − | 0.967021i | \(-0.581976\pi\) |
−0.932044 | + | 0.362346i | \(0.881976\pi\) | |||||||
\(138\) | −47.7632 | − | 25.6849i | −0.346110 | − | 0.186122i | ||||
\(139\) | 62.2107 | − | 191.465i | 0.447559 | − | 1.37744i | −0.432094 | − | 0.901829i | \(-0.642225\pi\) |
0.879653 | − | 0.475616i | \(-0.157775\pi\) | |||||||
\(140\) | 20.4101 | − | 8.98184i | 0.145786 | − | 0.0641560i | ||||
\(141\) | −53.2048 | − | 94.9039i | −0.377339 | − | 0.673078i | ||||
\(142\) | −172.251 | − | 68.0082i | −1.21304 | − | 0.478931i | ||||
\(143\) | −1.71599 | + | 1.71599i | −0.0119999 | + | 0.0119999i | ||||
\(144\) | −20.9643 | − | 142.466i | −0.145585 | − | 0.989346i | ||||
\(145\) | 3.22302 | + | 47.9811i | 0.0222277 | + | 0.330904i | ||||
\(146\) | 64.3329 | + | 72.8304i | 0.440636 | + | 0.498839i | ||||
\(147\) | 49.6488 | + | 134.393i | 0.337747 | + | 0.914238i | ||||
\(148\) | 7.77545 | + | 233.178i | 0.0525368 | + | 1.57552i | ||||
\(149\) | 187.286 | 1.25696 | 0.628478 | − | 0.777828i | \(-0.283678\pi\) | ||||
0.628478 | + | 0.777828i | \(0.283678\pi\) | |||||||
\(150\) | 62.0051 | + | 136.585i | 0.413367 | + | 0.910564i | ||||
\(151\) | 184.878i | 1.22436i | 0.790718 | + | 0.612180i | \(0.209707\pi\) | ||||
−0.790718 | + | 0.612180i | \(0.790293\pi\) | |||||||
\(152\) | 10.1413 | − | 54.0059i | 0.0667191 | − | 0.355302i | ||||
\(153\) | 36.1576 | + | 58.8850i | 0.236324 | + | 0.384869i | ||||
\(154\) | −6.47593 | − | 7.33132i | −0.0420515 | − | 0.0476060i | ||||
\(155\) | 45.4345 | − | 180.123i | 0.293126 | − | 1.16208i | ||||
\(156\) | 6.14704 | − | 2.50676i | 0.0394041 | − | 0.0160690i | ||||
\(157\) | −208.198 | − | 208.198i | −1.32610 | − | 1.32610i | −0.908741 | − | 0.417362i | \(-0.862955\pi\) |
−0.417362 | − | 0.908741i | \(-0.637045\pi\) | |||||||
\(158\) | −143.287 | − | 56.5725i | −0.906880 | − | 0.358054i | ||||
\(159\) | 37.0322 | + | 66.0561i | 0.232907 | + | 0.415447i | ||||
\(160\) | −148.226 | + | 60.2414i | −0.926413 | + | 0.376508i | ||||
\(161\) | 9.58431 | + | 3.11413i | 0.0595299 | + | 0.0193424i | ||||
\(162\) | −15.6898 | − | 161.238i | −0.0968507 | − | 0.995299i | ||||
\(163\) | −103.907 | + | 203.928i | −0.637464 | + | 1.25109i | 0.315763 | + | 0.948838i | \(0.397740\pi\) |
−0.953227 | + | 0.302256i | \(0.902260\pi\) | |||||||
\(164\) | −8.68438 | + | 9.28353i | −0.0529535 | + | 0.0566069i | ||||
\(165\) | 48.8081 | − | 44.1304i | 0.295807 | − | 0.267457i | ||||
\(166\) | 3.44491 | + | 36.0742i | 0.0207525 | + | 0.217314i | ||||
\(167\) | 68.5581 | + | 10.8585i | 0.410527 | + | 0.0650211i | 0.358283 | − | 0.933613i | \(-0.383362\pi\) |
0.0522447 | + | 0.998634i | \(0.483362\pi\) | |||||||
\(168\) | 8.55289 | + | 25.3551i | 0.0509101 | + | 0.150923i | ||||
\(169\) | −99.1558 | − | 136.476i | −0.586721 | − | 0.807552i | ||||
\(170\) | 54.0071 | − | 54.5716i | 0.317689 | − | 0.321010i | ||||
\(171\) | 14.3773 | − | 60.1235i | 0.0840776 | − | 0.351599i | ||||
\(172\) | 241.160 | + | 69.5624i | 1.40210 | + | 0.404433i | ||||
\(173\) | −190.395 | + | 97.0113i | −1.10055 | + | 0.560759i | −0.907340 | − | 0.420398i | \(-0.861890\pi\) |
−0.193211 | + | 0.981157i | \(0.561890\pi\) | |||||||
\(174\) | −57.6930 | − | 1.27835i | −0.331569 | − | 0.00734685i | ||||
\(175\) | −15.8623 | − | 22.9201i | −0.0906417 | − | 0.130972i | ||||
\(176\) | 44.9462 | + | 53.9083i | 0.255376 | + | 0.306297i | ||||
\(177\) | 99.7804 | − | 78.7332i | 0.563731 | − | 0.444821i | ||||
\(178\) | −12.0689 | + | 194.810i | −0.0678029 | + | 1.09444i | ||||
\(179\) | 124.201 | − | 170.949i | 0.693863 | − | 0.955020i | −0.306133 | − | 0.951989i | \(-0.599035\pi\) |
0.999995 | − | 0.00303131i | \(-0.000964898\pi\) | |||||||
\(180\) | −169.880 | + | 59.5052i | −0.943776 | + | 0.330584i | ||||
\(181\) | 164.718 | − | 119.675i | 0.910044 | − | 0.661186i | −0.0309818 | − | 0.999520i | \(-0.509863\pi\) |
0.941026 | + | 0.338334i | \(0.109863\pi\) | |||||||
\(182\) | −1.04093 | + | 0.661996i | −0.00571940 | + | 0.00363734i | ||||
\(183\) | 3.70428 | + | 93.2132i | 0.0202420 | + | 0.509362i | ||||
\(184\) | −68.1038 | − | 24.2979i | −0.370129 | − | 0.132054i | ||||
\(185\) | 284.338 | − | 64.8242i | 1.53696 | − | 0.350401i | ||||
\(186\) | 210.429 | + | 73.5650i | 1.13134 | + | 0.395511i | ||||
\(187\) | −30.0093 | − | 15.2905i | −0.160477 | − | 0.0817674i | ||||
\(188\) | −89.1322 | − | 114.455i | −0.474108 | − | 0.608802i | ||||
\(189\) | 8.21037 | + | 28.9624i | 0.0434411 | + | 0.153240i | ||||
\(190\) | −68.6864 | + | 0.357086i | −0.361507 | + | 0.00187940i | ||||
\(191\) | −74.7141 | − | 229.946i | −0.391173 | − | 1.20391i | −0.931902 | − | 0.362711i | \(-0.881851\pi\) |
0.540728 | − | 0.841197i | \(-0.318149\pi\) | |||||||
\(192\) | −56.1523 | − | 183.605i | −0.292460 | − | 0.956278i | ||||
\(193\) | 195.344 | − | 195.344i | 1.01215 | − | 1.01215i | 0.0122223 | − | 0.999925i | \(-0.496109\pi\) |
0.999925 | − | 0.0122223i | \(-0.00389058\pi\) | |||||||
\(194\) | 20.1148 | + | 46.3605i | 0.103684 | + | 0.238972i | ||||
\(195\) | −4.53390 | − | 6.95004i | −0.0232508 | − | 0.0356412i | ||||
\(196\) | 92.3490 | + | 167.222i | 0.471168 | + | 0.853173i | ||||
\(197\) | −348.149 | + | 55.1414i | −1.76725 | + | 0.279906i | −0.953520 | − | 0.301331i | \(-0.902569\pi\) |
−0.813735 | + | 0.581237i | \(0.802569\pi\) | |||||||
\(198\) | 47.5268 | + | 63.0556i | 0.240034 | + | 0.318463i | ||||
\(199\) | 89.1540 | 0.448010 | 0.224005 | − | 0.974588i | \(-0.428087\pi\) | ||||
0.224005 | + | 0.974588i | \(0.428087\pi\) | |||||||
\(200\) | 109.076 | + | 167.638i | 0.545380 | + | 0.838189i | ||||
\(201\) | −51.6339 | − | 258.973i | −0.256885 | − | 1.28842i | ||||
\(202\) | −79.5904 | − | 308.755i | −0.394012 | − | 1.52849i | ||||
\(203\) | 10.5914 | − | 1.67751i | 0.0521744 | − | 0.00826361i | ||||
\(204\) | 59.4505 | + | 70.3861i | 0.291424 | + | 0.345030i | ||||
\(205\) | 13.4527 | + | 8.45752i | 0.0656228 | + | 0.0412562i | ||||
\(206\) | 120.489 | + | 277.703i | 0.584898 | + | 1.34807i | ||||
\(207\) | −75.1828 | − | 31.0626i | −0.363202 | − | 0.150061i | ||||
\(208\) | 7.60141 | − | 4.53489i | 0.0365452 | − | 0.0218024i | ||||
\(209\) | 9.31104 | + | 28.6564i | 0.0445504 | + | 0.137112i | ||||
\(210\) | 29.0909 | − | 16.5082i | 0.138528 | − | 0.0786105i | ||||
\(211\) | 98.3000 | + | 31.9396i | 0.465877 | + | 0.151372i | 0.532543 | − | 0.846403i | \(-0.321236\pi\) |
−0.0666666 | + | 0.997775i | \(0.521236\pi\) | |||||||
\(212\) | 62.0389 | + | 79.6642i | 0.292636 | + | 0.375774i | ||||
\(213\) | −267.391 | − | 75.2824i | −1.25536 | − | 0.353438i | ||||
\(214\) | 29.8484 | + | 17.6137i | 0.139478 | + | 0.0823069i | ||||
\(215\) | 28.2010 | − | 312.471i | 0.131167 | − | 1.45335i | ||||
\(216\) | −52.9571 | − | 209.408i | −0.245172 | − | 0.969480i | ||||
\(217\) | −40.9137 | − | 6.48009i | −0.188542 | − | 0.0298622i | ||||
\(218\) | −227.249 | + | 144.522i | −1.04243 | + | 0.662947i | ||||
\(219\) | 107.081 | + | 98.8957i | 0.488955 | + | 0.451578i | ||||
\(220\) | 55.5066 | − | 67.9434i | 0.252303 | − | 0.308834i | ||||
\(221\) | −2.49658 | + | 3.43624i | −0.0112967 | + | 0.0155486i | ||||
\(222\) | 47.0755 | + | 346.780i | 0.212052 | + | 1.56207i | ||||
\(223\) | 80.3564 | − | 40.9436i | 0.360342 | − | 0.183604i | −0.264441 | − | 0.964402i | \(-0.585187\pi\) |
0.624783 | + | 0.780798i | \(0.285187\pi\) | |||||||
\(224\) | 16.3498 | + | 31.7117i | 0.0729903 | + | 0.141570i | ||||
\(225\) | 113.306 | + | 194.388i | 0.503583 | + | 0.863947i | ||||
\(226\) | −51.2361 | + | 230.254i | −0.226708 | + | 1.01882i | ||||
\(227\) | 6.07091 | − | 3.09328i | 0.0267441 | − | 0.0136268i | −0.440567 | − | 0.897720i | \(-0.645223\pi\) |
0.467311 | + | 0.884093i | \(0.345223\pi\) | |||||||
\(228\) | 6.91779 | − | 82.1340i | 0.0303412 | − | 0.360237i | ||||
\(229\) | 82.8983 | − | 114.100i | 0.362001 | − | 0.498252i | −0.588704 | − | 0.808349i | \(-0.700361\pi\) |
0.950705 | + | 0.310097i | \(0.100361\pi\) | |||||||
\(230\) | −13.6751 | + | 89.3451i | −0.0594571 | + | 0.388457i | ||||
\(231\) | −10.7791 | − | 9.95512i | −0.0466628 | − | 0.0430958i | ||||
\(232\) | −76.3081 | + | 9.86300i | −0.328914 | + | 0.0425129i | ||||
\(233\) | −308.314 | − | 48.8321i | −1.32323 | − | 0.209580i | −0.545467 | − | 0.838132i | \(-0.683648\pi\) |
−0.777767 | + | 0.628552i | \(0.783648\pi\) | |||||||
\(234\) | 8.79168 | − | 4.67588i | 0.0375713 | − | 0.0199824i | ||||
\(235\) | −119.340 | + | 136.528i | −0.507831 | + | 0.580969i | ||||
\(236\) | 115.773 | − | 123.761i | 0.490564 | − | 0.524409i | ||||
\(237\) | −222.429 | − | 62.6235i | −0.938517 | − | 0.264234i | ||||
\(238\) | −13.2022 | − | 10.9005i | −0.0554713 | − | 0.0458003i | ||||
\(239\) | −278.927 | − | 90.6290i | −1.16706 | − | 0.379201i | −0.339515 | − | 0.940601i | \(-0.610263\pi\) |
−0.827545 | + | 0.561400i | \(0.810263\pi\) | |||||||
\(240\) | −212.028 | + | 112.445i | −0.883452 | + | 0.468522i | ||||
\(241\) | −74.9213 | − | 230.584i | −0.310877 | − | 0.956781i | −0.977418 | − | 0.211313i | \(-0.932226\pi\) |
0.666542 | − | 0.745468i | \(-0.267774\pi\) | |||||||
\(242\) | 189.294 | + | 74.7369i | 0.782206 | + | 0.308830i | ||||
\(243\) | −47.9420 | − | 238.224i | −0.197292 | − | 0.980345i | ||||
\(244\) | 23.5412 | + | 122.134i | 0.0964801 | + | 0.500551i | ||||
\(245\) | 183.340 | − | 152.986i | 0.748325 | − | 0.624431i | ||||
\(246\) | −11.5471 | + | 15.1746i | −0.0469396 | + | 0.0616855i | ||||
\(247\) | 3.75307 | − | 0.594428i | 0.0151946 | − | 0.00240659i | ||||
\(248\) | 292.118 | + | 54.8543i | 1.17790 | + | 0.221187i | ||||
\(249\) | 10.6285 | + | 53.3082i | 0.0426849 | + | 0.214089i | ||||
\(250\) | 179.884 | − | 173.614i | 0.719537 | − | 0.694454i | ||||
\(251\) | 413.283 | 1.64654 | 0.823272 | − | 0.567647i | \(-0.192146\pi\) | ||||
0.823272 | + | 0.567647i | \(0.192146\pi\) | |||||||
\(252\) | 16.6204 | + | 36.5354i | 0.0659538 | + | 0.144982i | ||||
\(253\) | 39.1614 | − | 6.20255i | 0.154788 | − | 0.0245160i | ||||
\(254\) | −302.625 | − | 342.598i | −1.19144 | − | 1.34881i | ||||
\(255\) | 72.2913 | − | 89.6513i | 0.283495 | − | 0.351574i | ||||
\(256\) | −110.773 | − | 230.793i | −0.432706 | − | 0.901535i | ||||
\(257\) | −222.467 | + | 222.467i | −0.865631 | + | 0.865631i | −0.991985 | − | 0.126354i | \(-0.959672\pi\) |
0.126354 | + | 0.991985i | \(0.459672\pi\) | |||||||
\(258\) | 370.458 | + | 67.1188i | 1.43588 | + | 0.260150i | ||||
\(259\) | −20.0958 | − | 61.8486i | −0.0775900 | − | 0.238798i | ||||
\(260\) | −7.36785 | − | 8.25417i | −0.0283379 | − | 0.0317468i | ||||
\(261\) | −86.2877 | + | 6.86897i | −0.330604 | + | 0.0263179i | ||||
\(262\) | −18.4282 | + | 22.3194i | −0.0703365 | + | 0.0851884i | ||||
\(263\) | −21.1052 | − | 10.7536i | −0.0802478 | − | 0.0408883i | 0.413406 | − | 0.910547i | \(-0.364339\pi\) |
−0.493654 | + | 0.869658i | \(0.664339\pi\) | |||||||
\(264\) | 75.2725 | + | 73.6081i | 0.285123 | + | 0.278819i | ||||
\(265\) | 83.0647 | − | 95.0276i | 0.313452 | − | 0.358595i | ||||
\(266\) | 1.45604 | + | 15.2472i | 0.00547382 | + | 0.0573204i | ||||
\(267\) | 11.6257 | + | 292.544i | 0.0435419 | + | 1.09567i | ||||
\(268\) | −119.902 | − | 331.049i | −0.447397 | − | 1.23526i | ||||
\(269\) | 428.293 | − | 311.173i | 1.59217 | − | 1.15678i | 0.691404 | − | 0.722469i | \(-0.256993\pi\) |
0.900764 | − | 0.434309i | \(-0.143007\pi\) | |||||||
\(270\) | −244.453 | + | 114.641i | −0.905383 | + | 0.424595i | ||||
\(271\) | 205.561 | − | 282.931i | 0.758528 | − | 1.04402i | −0.238807 | − | 0.971067i | \(-0.576756\pi\) |
0.997335 | − | 0.0729575i | \(-0.0232437\pi\) | |||||||
\(272\) | 92.4579 | + | 80.8846i | 0.339919 | + | 0.297370i | ||||
\(273\) | −1.45264 | + | 1.14623i | −0.00532102 | + | 0.00419863i | ||||
\(274\) | −356.231 | − | 79.2685i | −1.30011 | − | 0.289301i | ||||
\(275\) | −96.5472 | − | 52.0160i | −0.351081 | − | 0.189149i | ||||
\(276\) | −105.325 | − | 25.8985i | −0.381614 | − | 0.0938351i | ||||
\(277\) | 248.819 | − | 126.780i | 0.898263 | − | 0.457688i | 0.0570373 | − | 0.998372i | \(-0.481835\pi\) |
0.841226 | + | 0.540684i | \(0.181835\pi\) | |||||||
\(278\) | 24.8965 | − | 401.866i | 0.0895557 | − | 1.44556i | ||||
\(279\) | 325.208 | + | 77.7666i | 1.16562 | + | 0.278733i | ||||
\(280\) | 35.0439 | − | 27.5845i | 0.125157 | − | 0.0985160i | ||||
\(281\) | 72.9356 | + | 100.387i | 0.259557 | + | 0.357250i | 0.918830 | − | 0.394654i | \(-0.129136\pi\) |
−0.659272 | + | 0.751904i | \(0.729136\pi\) | |||||||
\(282\) | −150.421 | − | 157.238i | −0.533406 | − | 0.557580i | ||||
\(283\) | 0.178352 | + | 0.0282481i | 0.000630218 | + | 9.98168e-5i | 0.156750 | − | 0.987638i | \(-0.449898\pi\) |
−0.156119 | + | 0.987738i | \(0.549898\pi\) | |||||||
\(284\) | −367.549 | − | 45.7165i | −1.29419 | − | 0.160974i | ||||
\(285\) | −102.444 | + | 10.9819i | −0.359453 | + | 0.0385329i | ||||
\(286\) | −2.46665 | + | 4.18002i | −0.00862465 | + | 0.0146154i | ||||
\(287\) | 1.60867 | − | 3.15719i | 0.00560511 | − | 0.0110006i | ||||
\(288\) | −111.725 | − | 265.446i | −0.387935 | − | 0.921687i | ||||
\(289\) | 218.792 | + | 71.0899i | 0.757066 | + | 0.245986i | ||||
\(290\) | 30.1959 | + | 91.3155i | 0.104124 | + | 0.314881i | ||||
\(291\) | 37.0692 | + | 66.1222i | 0.127386 | + | 0.227224i | ||||
\(292\) | 160.952 | + | 108.933i | 0.551207 | + | 0.373057i | ||||
\(293\) | 148.226 | + | 148.226i | 0.505891 | + | 0.505891i | 0.913262 | − | 0.407372i | \(-0.133555\pi\) |
−0.407372 | + | 0.913262i | \(0.633555\pi\) | |||||||
\(294\) | 163.248 | + | 235.491i | 0.555266 | + | 0.800990i | ||||
\(295\) | −179.340 | − | 112.749i | −0.607932 | − | 0.382200i | ||||
\(296\) | 131.469 | + | 447.711i | 0.444153 | + | 1.51254i | ||||
\(297\) | 80.5151 | + | 86.8656i | 0.271094 | + | 0.292477i | ||||
\(298\) | 362.715 | − | 93.5002i | 1.21717 | − | 0.313759i | ||||
\(299\) | − | 5.00022i | − | 0.0167232i | ||||||
\(300\) | 188.273 | + | 233.567i | 0.627575 | + | 0.778556i | ||||
\(301\) | −69.9610 | −0.232429 | ||||||||
\(302\) | 92.2981 | + | 358.052i | 0.305623 | + | 1.18560i | ||||
\(303\) | −165.740 | − | 448.637i | −0.546996 | − | 1.48065i | ||||
\(304\) | −7.32121 | − | 109.656i | −0.0240829 | − | 0.360709i | ||||
\(305\) | 144.316 | − | 57.8477i | 0.473167 | − | 0.189665i | ||||
\(306\) | 99.4235 | + | 95.9908i | 0.324913 | + | 0.313695i | ||||
\(307\) | −150.571 | + | 150.571i | −0.490459 | + | 0.490459i | −0.908451 | − | 0.417992i | \(-0.862734\pi\) |
0.417992 | + | 0.908451i | \(0.362734\pi\) | |||||||
\(308\) | −16.2019 | − | 10.9655i | −0.0526037 | − | 0.0356022i | ||||
\(309\) | 222.047 | + | 396.077i | 0.718600 | + | 1.28180i | ||||
\(310\) | −1.93148 | − | 371.525i | −0.00623057 | − | 1.19847i | ||||
\(311\) | −147.244 | + | 453.171i | −0.473454 | + | 1.45714i | 0.374577 | + | 0.927196i | \(0.377788\pi\) |
−0.848031 | + | 0.529946i | \(0.822212\pi\) | |||||||
\(312\) | 10.6534 | − | 7.92364i | 0.0341457 | − | 0.0253963i | ||||
\(313\) | −313.619 | − | 159.797i | −1.00198 | − | 0.510533i | −0.125560 | − | 0.992086i | \(-0.540073\pi\) |
−0.876417 | + | 0.481553i | \(0.840073\pi\) | |||||||
\(314\) | −507.155 | − | 299.275i | −1.61514 | − | 0.953104i | ||||
\(315\) | 40.9000 | − | 29.0601i | 0.129841 | − | 0.0922543i | ||||
\(316\) | −305.745 | − | 38.0292i | −0.967549 | − | 0.120346i | ||||
\(317\) | −46.9000 | + | 296.115i | −0.147950 | + | 0.934117i | 0.796304 | + | 0.604897i | \(0.206786\pi\) |
−0.944253 | + | 0.329220i | \(0.893214\pi\) | |||||||
\(318\) | 104.697 | + | 109.442i | 0.329237 | + | 0.344158i | ||||
\(319\) | 34.1330 | − | 24.7991i | 0.107000 | − | 0.0777401i | ||||
\(320\) | −256.993 | + | 190.669i | −0.803104 | + | 0.595840i | ||||
\(321\) | 47.2212 | + | 21.7436i | 0.147107 | + | 0.0677369i | ||||
\(322\) | 20.1165 | + | 1.24626i | 0.0624736 | + | 0.00387038i | ||||
\(323\) | 23.9419 | + | 46.9887i | 0.0741236 | + | 0.145476i | ||||
\(324\) | −110.882 | − | 304.436i | −0.342230 | − | 0.939616i | ||||
\(325\) | −8.38369 | + | 10.9995i | −0.0257960 | + | 0.0338447i | ||||
\(326\) | −99.4264 | + | 446.820i | −0.304989 | + | 1.37061i | ||||
\(327\) | −317.130 | + | 250.237i | −0.969818 | + | 0.765249i | ||||
\(328\) | −12.1843 | + | 22.3149i | −0.0371471 | + | 0.0680332i | ||||
\(329\) | 32.7131 | + | 23.7675i | 0.0994319 | + | 0.0722415i | ||||
\(330\) | 72.4946 | − | 109.834i | 0.219681 | − | 0.332829i | ||||
\(331\) | −179.140 | − | 246.565i | −0.541208 | − | 0.744909i | 0.447578 | − | 0.894245i | \(-0.352287\pi\) |
−0.988787 | + | 0.149336i | \(0.952287\pi\) | |||||||
\(332\) | 24.6813 | + | 68.1446i | 0.0743411 | + | 0.205255i | ||||
\(333\) | 123.003 | + | 510.327i | 0.369380 | + | 1.53251i | ||||
\(334\) | 138.197 | − | 13.1971i | 0.413762 | − | 0.0395123i | ||||
\(335\) | −377.874 | + | 225.642i | −1.12798 | + | 0.673558i | ||||
\(336\) | 29.2225 | + | 44.8350i | 0.0869717 | + | 0.133437i | ||||
\(337\) | −2.05062 | + | 4.02457i | −0.00608493 | + | 0.0119423i | −0.894029 | − | 0.448009i | \(-0.852133\pi\) |
0.887944 | + | 0.459951i | \(0.152133\pi\) | |||||||
\(338\) | −260.168 | − | 214.810i | −0.769728 | − | 0.635532i | ||||
\(339\) | −41.4302 | + | 351.394i | −0.122213 | + | 1.03656i | ||||
\(340\) | 77.3509 | − | 132.651i | 0.227503 | − | 0.390149i | ||||
\(341\) | −155.003 | + | 50.3634i | −0.454553 | + | 0.147693i | ||||
\(342\) | −2.17155 | − | 123.618i | −0.00634955 | − | 0.361456i | ||||
\(343\) | −76.2820 | − | 76.2820i | −0.222396 | − | 0.222396i | ||||
\(344\) | 501.781 | + | 14.3247i | 1.45866 | + | 0.0416415i | ||||
\(345\) | −6.81519 | + | 135.407i | −0.0197542 | + | 0.392484i | ||||
\(346\) | −320.305 | + | 282.933i | −0.925737 | + | 0.817725i | ||||
\(347\) | 69.3483 | + | 437.848i | 0.199851 | + | 1.26181i | 0.859851 | + | 0.510544i | \(0.170556\pi\) |
−0.660000 | + | 0.751265i | \(0.729444\pi\) | |||||||
\(348\) | −112.372 | + | 26.3267i | −0.322907 | + | 0.0756514i | ||||
\(349\) | 329.214i | 0.943306i | 0.881784 | + | 0.471653i | \(0.156343\pi\) | ||||
−0.881784 | + | 0.471653i | \(0.843657\pi\) | |||||||
\(350\) | −42.1629 | − | 36.4701i | −0.120465 | − | 0.104200i | ||||
\(351\) | 12.4082 | − | 8.31510i | 0.0353510 | − | 0.0236897i | ||||
\(352\) | 113.960 | + | 81.9649i | 0.323749 | + | 0.232855i | ||||
\(353\) | 20.2754 | + | 128.014i | 0.0574374 | + | 0.362645i | 0.999621 | + | 0.0275469i | \(0.00876956\pi\) |
−0.942183 | + | 0.335098i | \(0.891230\pi\) | |||||||
\(354\) | 153.937 | − | 202.296i | 0.434851 | − | 0.571457i | ||||
\(355\) | 31.0295 | + | 461.936i | 0.0874070 | + | 1.30123i | ||||
\(356\) | 73.8826 | + | 383.312i | 0.207535 | + | 1.07672i | ||||
\(357\) | −21.3594 | − | 14.2580i | −0.0598302 | − | 0.0399384i | ||||
\(358\) | 155.196 | − | 393.080i | 0.433508 | − | 1.09799i | ||||
\(359\) | −507.780 | + | 164.988i | −1.41443 | + | 0.459575i | −0.913827 | − | 0.406103i | \(-0.866887\pi\) |
−0.500600 | + | 0.865678i | \(0.666887\pi\) | |||||||
\(360\) | −299.297 | + | 200.053i | −0.831381 | + | 0.555703i | ||||
\(361\) | −96.9759 | + | 298.461i | −0.268631 | + | 0.826762i | ||||
\(362\) | 259.262 | − | 314.006i | 0.716192 | − | 0.867419i | ||||
\(363\) | 293.846 | + | 82.7308i | 0.809494 | + | 0.227908i | ||||
\(364\) | −1.68547 | + | 1.80175i | −0.00463040 | + | 0.00494986i | ||||
\(365\) | 95.5359 | − | 223.364i | 0.261742 | − | 0.611957i | ||||
\(366\) | 53.7095 | + | 178.676i | 0.146747 | + | 0.488185i | ||||
\(367\) | −26.9834 | + | 170.366i | −0.0735242 | + | 0.464214i | 0.923266 | + | 0.384160i | \(0.125509\pi\) |
−0.996791 | + | 0.0800533i | \(0.974491\pi\) | |||||||
\(368\) | −144.026 | − | 13.0575i | −0.391376 | − | 0.0354822i | ||||
\(369\) | −14.9229 | + | 24.4012i | −0.0404416 | + | 0.0661279i | ||||
\(370\) | 518.312 | − | 267.496i | 1.40084 | − | 0.722963i | ||||
\(371\) | −22.7694 | − | 16.5429i | −0.0613729 | − | 0.0445900i | ||||
\(372\) | 444.263 | + | 37.4183i | 1.19425 | + | 0.100587i | ||||
\(373\) | 76.4454 | + | 150.032i | 0.204947 | + | 0.402232i | 0.970486 | − | 0.241158i | \(-0.0775273\pi\) |
−0.765538 | + | 0.643390i | \(0.777527\pi\) | |||||||
\(374\) | −65.7522 | − | 14.6312i | −0.175808 | − | 0.0391208i | ||||
\(375\) | 242.024 | − | 286.443i | 0.645397 | − | 0.763847i | ||||
\(376\) | −229.761 | − | 177.165i | −0.611068 | − | 0.471184i | ||||
\(377\) | −2.41555 | − | 4.74077i | −0.00640728 | − | 0.0125750i | ||||
\(378\) | 30.3600 | + | 51.9922i | 0.0803175 | + | 0.137545i | ||||
\(379\) | −102.353 | − | 74.3636i | −0.270060 | − | 0.196210i | 0.444510 | − | 0.895774i | \(-0.353378\pi\) |
−0.714570 | + | 0.699564i | \(0.753378\pi\) | |||||||
\(380\) | −132.846 | + | 34.9823i | −0.349594 | + | 0.0920588i | ||||
\(381\) | −503.715 | − | 465.210i | −1.32209 | − | 1.22102i | ||||
\(382\) | −259.496 | − | 408.035i | −0.679308 | − | 1.06815i | ||||
\(383\) | −20.9057 | + | 131.993i | −0.0545841 | + | 0.344630i | 0.945249 | + | 0.326351i | \(0.105819\pi\) |
−0.999833 | + | 0.0182799i | \(0.994181\pi\) | |||||||
\(384\) | −200.412 | − | 327.553i | −0.521906 | − | 0.853003i | ||||
\(385\) | −9.61692 | + | 22.4845i | −0.0249790 | + | 0.0584013i | ||||
\(386\) | 280.798 | − | 475.845i | 0.727457 | − | 1.23276i | ||||
\(387\) | 563.032 | + | 43.8028i | 1.45486 | + | 0.113186i | ||||
\(388\) | 62.1009 | + | 79.7438i | 0.160054 | + | 0.205525i | ||||
\(389\) | −13.7058 | + | 42.1820i | −0.0352334 | + | 0.108437i | −0.967126 | − | 0.254296i | \(-0.918156\pi\) |
0.931893 | + | 0.362733i | \(0.118156\pi\) | |||||||
\(390\) | −12.2505 | − | 11.1966i | −0.0314115 | − | 0.0287092i | ||||
\(391\) | 65.9996 | − | 21.4446i | 0.168797 | − | 0.0548455i | ||||
\(392\) | 262.335 | + | 277.753i | 0.669221 | + | 0.708553i | ||||
\(393\) | −24.1044 | + | 36.1098i | −0.0613343 | + | 0.0918825i | ||||
\(394\) | −646.728 | + | 280.600i | −1.64144 | + | 0.712184i | ||||
\(395\) | 25.8118 | + | 384.261i | 0.0653464 | + | 0.972812i | ||||
\(396\) | 123.524 | + | 98.3919i | 0.311930 | + | 0.248464i | ||||
\(397\) | 58.6539 | + | 370.326i | 0.147743 | + | 0.932812i | 0.944500 | + | 0.328512i | \(0.106547\pi\) |
−0.796757 | + | 0.604300i | \(0.793453\pi\) | |||||||
\(398\) | 172.663 | − | 44.5089i | 0.433828 | − | 0.111831i | ||||
\(399\) | 4.49229 | + | 22.5314i | 0.0112589 | + | 0.0564697i | ||||
\(400\) | 294.937 | + | 270.207i | 0.737343 | + | 0.675518i | ||||
\(401\) | − | 162.890i | − | 0.406208i | −0.979157 | − | 0.203104i | \(-0.934897\pi\) | ||
0.979157 | − | 0.203104i | \(-0.0651030\pi\) | |||||||
\(402\) | −229.288 | − | 475.773i | −0.570367 | − | 1.18351i | ||||
\(403\) | 3.21526 | + | 20.3004i | 0.00797831 | + | 0.0503731i | ||||
\(404\) | −308.284 | − | 558.228i | −0.763078 | − | 1.38175i | ||||
\(405\) | −347.350 | + | 208.262i | −0.857654 | + | 0.514228i | ||||
\(406\) | 19.6748 | − | 8.53643i | 0.0484600 | − | 0.0210257i | ||||
\(407\) | −180.922 | − | 180.922i | −0.444526 | − | 0.444526i | ||||
\(408\) | 150.276 | + | 106.636i | 0.368325 | + | 0.261363i | ||||
\(409\) | −657.596 | + | 213.666i | −1.60782 | + | 0.522411i | −0.969023 | − | 0.246969i | \(-0.920566\pi\) |
−0.638792 | + | 0.769380i | \(0.720566\pi\) | |||||||
\(410\) | 30.2759 | + | 9.66352i | 0.0738437 | + | 0.0235696i | ||||
\(411\) | −543.650 | − | 64.0976i | −1.32275 | − | 0.155955i | ||||
\(412\) | 371.989 | + | 477.671i | 0.902886 | + | 1.15940i | ||||
\(413\) | −21.4454 | + | 42.0890i | −0.0519260 | + | 0.101911i | ||||
\(414\) | −161.113 | − | 22.6247i | −0.389162 | − | 0.0546490i | ||||
\(415\) | 77.7833 | − | 46.4472i | 0.187430 | − | 0.111921i | ||||
\(416\) | 12.4576 | − | 12.5776i | 0.0299461 | − | 0.0302346i | ||||
\(417\) | −23.9821 | − | 603.478i | −0.0575111 | − | 1.44719i | ||||
\(418\) | 32.3389 | + | 50.8502i | 0.0773658 | + | 0.121651i | ||||
\(419\) | 326.625 | + | 449.560i | 0.779534 | + | 1.07294i | 0.995333 | + | 0.0964988i | \(0.0307644\pi\) |
−0.215799 | + | 0.976438i | \(0.569236\pi\) | |||||||
\(420\) | 48.0985 | − | 46.4945i | 0.114520 | − | 0.110701i | ||||
\(421\) | 87.4731 | + | 63.5529i | 0.207774 | + | 0.150957i | 0.686806 | − | 0.726841i | \(-0.259012\pi\) |
−0.479032 | + | 0.877798i | \(0.659012\pi\) | |||||||
\(422\) | 206.322 | + | 12.7821i | 0.488914 | + | 0.0302893i | ||||
\(423\) | −248.387 | − | 211.757i | −0.587204 | − | 0.500609i | ||||
\(424\) | 159.921 | + | 123.313i | 0.377173 | + | 0.290832i | ||||
\(425\) | −181.142 | − | 63.4851i | −0.426216 | − | 0.149377i | ||||
\(426\) | −555.436 | − | 12.3073i | −1.30384 | − | 0.0288903i | ||||
\(427\) | −15.7399 | − | 30.8912i | −0.0368615 | − | 0.0723448i | ||||
\(428\) | 66.6004 | + | 19.2108i | 0.155608 | + | 0.0448850i | ||||
\(429\) | −3.04501 | + | 6.61294i | −0.00709792 | + | 0.0154148i | ||||
\(430\) | −101.380 | − | 619.237i | −0.235768 | − | 1.44009i | ||||
\(431\) | 178.468 | − | 129.665i | 0.414079 | − | 0.300846i | −0.361172 | − | 0.932499i | \(-0.617623\pi\) |
0.775251 | + | 0.631653i | \(0.217623\pi\) | |||||||
\(432\) | −207.105 | − | 379.119i | −0.479410 | − | 0.877591i | ||||
\(433\) | −62.3502 | + | 393.663i | −0.143996 | + | 0.909153i | 0.804865 | + | 0.593458i | \(0.202238\pi\) |
−0.948861 | + | 0.315695i | \(0.897762\pi\) | |||||||
\(434\) | −82.4722 | + | 7.87569i | −0.190028 | + | 0.0181468i | ||||
\(435\) | 58.9519 | + | 131.673i | 0.135521 | + | 0.302697i | ||||
\(436\) | −367.960 | + | 393.346i | −0.843945 | + | 0.902170i | ||||
\(437\) | −55.3168 | − | 28.1853i | −0.126583 | − | 0.0644972i | ||||
\(438\) | 256.755 | + | 138.071i | 0.586199 | + | 0.315231i | ||||
\(439\) | 74.4841 | − | 229.239i | 0.169668 | − | 0.522184i | −0.829682 | − | 0.558236i | \(-0.811478\pi\) |
0.999350 | + | 0.0360524i | \(0.0114783\pi\) | |||||||
\(440\) | 73.5791 | − | 159.296i | 0.167225 | − | 0.362037i | ||||
\(441\) | 279.434 | + | 326.581i | 0.633637 | + | 0.740546i | ||||
\(442\) | −3.11959 | + | 7.90131i | −0.00705790 | + | 0.0178763i | ||||
\(443\) | 275.926 | − | 275.926i | 0.622857 | − | 0.622857i | −0.323404 | − | 0.946261i | \(-0.604827\pi\) |
0.946261 | + | 0.323404i | \(0.104827\pi\) | |||||||
\(444\) | 264.296 | + | 648.103i | 0.595261 | + | 1.45969i | ||||
\(445\) | 452.927 | − | 181.552i | 1.01781 | − | 0.407981i | ||||
\(446\) | 135.185 | − | 119.412i | 0.303105 | − | 0.267740i | ||||
\(447\) | 527.044 | − | 194.706i | 1.17907 | − | 0.435583i | ||||
\(448\) | 47.4962 | + | 53.2532i | 0.106018 | + | 0.118869i | ||||
\(449\) | −79.9346 | −0.178028 | −0.0890140 | − | 0.996030i | \(-0.528372\pi\) | ||||
−0.0890140 | + | 0.996030i | \(0.528372\pi\) | |||||||
\(450\) | 316.484 | + | 319.902i | 0.703299 | + | 0.710894i | ||||
\(451\) | − | 13.9413i | − | 0.0309120i | ||||||
\(452\) | 15.7227 | + | 471.508i | 0.0347848 | + | 1.04316i | ||||
\(453\) | 192.202 | + | 520.268i | 0.424288 | + | 1.14849i | ||||
\(454\) | 10.2132 | − | 9.02154i | 0.0224960 | − | 0.0198712i | ||||
\(455\) | 2.61090 | + | 1.64144i | 0.00573823 | + | 0.00360756i | ||||
\(456\) | −27.6067 | − | 162.522i | −0.0605410 | − | 0.356407i | ||||
\(457\) | −61.2847 | − | 61.2847i | −0.134102 | − | 0.134102i | 0.636869 | − | 0.770972i | \(-0.280229\pi\) |
−0.770972 | + | 0.636869i | \(0.780229\pi\) | |||||||
\(458\) | 103.585 | − | 262.362i | 0.226169 | − | 0.572842i | ||||
\(459\) | 162.969 | + | 128.119i | 0.355052 | + | 0.279126i | ||||
\(460\) | 18.1199 | + | 179.861i | 0.0393910 | + | 0.391002i | ||||
\(461\) | −110.844 | − | 36.0154i | −0.240442 | − | 0.0781244i | 0.186317 | − | 0.982490i | \(-0.440345\pi\) |
−0.426759 | + | 0.904365i | \(0.640345\pi\) | |||||||
\(462\) | −25.8457 | − | 13.8987i | −0.0559431 | − | 0.0300837i | ||||
\(463\) | −16.9619 | + | 33.2896i | −0.0366348 | + | 0.0718998i | −0.908598 | − | 0.417671i | \(-0.862846\pi\) |
0.871964 | + | 0.489571i | \(0.162846\pi\) | |||||||
\(464\) | −142.861 | + | 57.1973i | −0.307890 | + | 0.123270i | ||||
\(465\) | −59.4009 | − | 554.120i | −0.127744 | − | 1.19166i | ||||
\(466\) | −621.486 | + | 59.3489i | −1.33366 | + | 0.127358i | ||||
\(467\) | 367.828 | + | 58.2582i | 0.787640 | + | 0.124750i | 0.537281 | − | 0.843403i | \(-0.319451\pi\) |
0.250359 | + | 0.968153i | \(0.419451\pi\) | |||||||
\(468\) | 14.6924 | − | 13.4448i | 0.0313940 | − | 0.0287283i | ||||
\(469\) | 57.6862 | + | 79.3983i | 0.122998 | + | 0.169293i | ||||
\(470\) | −162.966 | + | 323.991i | −0.346735 | + | 0.689342i | ||||
\(471\) | −802.337 | − | 369.446i | −1.70348 | − | 0.784386i | ||||
\(472\) | 162.431 | − | 297.484i | 0.344133 | − | 0.630263i | ||||
\(473\) | −245.257 | + | 124.964i | −0.518513 | + | 0.264196i | ||||
\(474\) | −462.039 | − | 10.2378i | −0.974765 | − | 0.0215987i | ||||
\(475\) | 74.4291 | + | 154.750i | 0.156693 | + | 0.325789i | ||||
\(476\) | −31.0104 | − | 14.5198i | −0.0651479 | − | 0.0305038i | ||||
\(477\) | 172.886 | + | 147.390i | 0.362444 | + | 0.308993i | ||||
\(478\) | −585.441 | − | 36.2694i | −1.22477 | − | 0.0758774i | ||||
\(479\) | 366.930 | − | 505.036i | 0.766033 | − | 1.05435i | −0.230655 | − | 0.973036i | \(-0.574087\pi\) |
0.996688 | − | 0.0813187i | \(-0.0259132\pi\) | |||||||
\(480\) | −354.496 | + | 323.624i | −0.738534 | + | 0.674216i | ||||
\(481\) | −26.1045 | + | 18.9661i | −0.0542714 | + | 0.0394305i | ||||
\(482\) | −260.215 | − | 409.166i | −0.539866 | − | 0.848893i | ||||
\(483\) | 30.2088 | − | 1.20049i | 0.0625440 | − | 0.00248549i | ||||
\(484\) | 403.915 | + | 50.2397i | 0.834534 | + | 0.103801i | ||||
\(485\) | 83.1477 | − | 95.1226i | 0.171439 | − | 0.196129i | ||||
\(486\) | −211.779 | − | 437.431i | −0.435759 | − | 0.900064i | ||||
\(487\) | 114.591 | + | 58.3868i | 0.235299 | + | 0.119891i | 0.567665 | − | 0.823260i | \(-0.307847\pi\) |
−0.332366 | + | 0.943150i | \(0.607847\pi\) | |||||||
\(488\) | 106.566 | + | 224.784i | 0.218373 | + | 0.460622i | ||||
\(489\) | −80.3976 | + | 681.899i | −0.164412 | + | 1.39448i | ||||
\(490\) | 278.696 | − | 387.815i | 0.568766 | − | 0.791460i | ||||
\(491\) | −28.2685 | − | 87.0016i | −0.0575734 | − | 0.177193i | 0.918134 | − | 0.396270i | \(-0.129695\pi\) |
−0.975708 | + | 0.219077i | \(0.929695\pi\) | |||||||
\(492\) | −14.7875 | + | 35.1533i | −0.0300559 | + | 0.0714497i | ||||
\(493\) | 52.2155 | − | 52.2155i | 0.105914 | − | 0.105914i | ||||
\(494\) | 6.97177 | − | 3.02489i | 0.0141129 | − | 0.00612326i | ||||
\(495\) | 91.4727 | − | 174.929i | 0.184793 | − | 0.353393i | ||||
\(496\) | 593.127 | − | 39.6004i | 1.19582 | − | 0.0798395i | ||||
\(497\) | 101.968 | − | 16.1502i | 0.205167 | − | 0.0324953i | ||||
\(498\) | 47.1976 | + | 97.9352i | 0.0947742 | + | 0.196657i | ||||
\(499\) | 54.3453 | 0.108908 | 0.0544542 | − | 0.998516i | \(-0.482658\pi\) | ||||
0.0544542 | + | 0.998516i | \(0.482658\pi\) | |||||||
\(500\) | 261.705 | − | 426.040i | 0.523411 | − | 0.852080i | ||||
\(501\) | 204.218 | − | 40.7169i | 0.407622 | − | 0.0812713i | ||||
\(502\) | 800.400 | − | 206.326i | 1.59442 | − | 0.411008i | ||||
\(503\) | −288.014 | + | 45.6169i | −0.572592 | + | 0.0906897i | −0.436014 | − | 0.899940i | \(-0.643610\pi\) |
−0.136578 | + | 0.990629i | \(0.543610\pi\) | |||||||
\(504\) | 50.4283 | + | 62.4602i | 0.100056 | + | 0.123929i | ||||
\(505\) | −612.032 | + | 510.704i | −1.21195 | + | 1.01129i | ||||
\(506\) | 72.7469 | − | 31.5632i | 0.143769 | − | 0.0623779i | ||||
\(507\) | −420.918 | − | 280.975i | −0.830213 | − | 0.554191i | ||||
\(508\) | −757.128 | − | 512.425i | −1.49041 | − | 1.00871i | ||||
\(509\) | −9.15660 | − | 28.1811i | −0.0179894 | − | 0.0553656i | 0.941659 | − | 0.336569i | \(-0.109266\pi\) |
−0.959648 | + | 0.281203i | \(0.909266\pi\) | |||||||
\(510\) | 95.2484 | − | 209.717i | 0.186762 | − | 0.411210i | ||||
\(511\) | −51.5212 | − | 16.7403i | −0.100824 | − | 0.0327598i | ||||
\(512\) | −329.753 | − | 391.672i | −0.644048 | − | 0.764985i | ||||
\(513\) | −22.0461 | − | 184.141i | −0.0429748 | − | 0.358949i | ||||
\(514\) | −319.786 | + | 541.913i | −0.622151 | + | 1.05431i | ||||
\(515\) | 498.061 | − | 569.792i | 0.967109 | − | 1.10639i | ||||
\(516\) | 750.969 | − | 54.9578i | 1.45537 | − | 0.106507i | ||||
\(517\) | 157.133 | + | 24.8874i | 0.303933 | + | 0.0481382i | ||||
\(518\) | −69.7964 | − | 109.749i | −0.134742 | − | 0.211870i | ||||
\(519\) | −434.939 | + | 470.938i | −0.838032 | + | 0.907395i | ||||
\(520\) | −18.3900 | − | 12.3075i | −0.0353654 | − | 0.0236682i | ||||
\(521\) | 224.228 | − | 308.623i | 0.430380 | − | 0.592367i | −0.537660 | − | 0.843161i | \(-0.680692\pi\) |
0.968040 | + | 0.250794i | \(0.0806918\pi\) | |||||||
\(522\) | −163.683 | + | 56.3811i | −0.313569 | + | 0.108010i | ||||
\(523\) | 610.492 | − | 311.061i | 1.16729 | − | 0.594764i | 0.240612 | − | 0.970621i | \(-0.422652\pi\) |
0.926677 | + | 0.375858i | \(0.122652\pi\) | |||||||
\(524\) | −24.5470 | + | 52.4257i | −0.0468454 | + | 0.100049i | ||||
\(525\) | −68.4663 | − | 48.0090i | −0.130412 | − | 0.0914458i | ||||
\(526\) | −46.2428 | − | 10.2899i | −0.0879140 | − | 0.0195626i | ||||
\(527\) | −254.162 | + | 129.502i | −0.482280 | + | 0.245734i | ||||
\(528\) | 182.527 | + | 104.977i | 0.345696 | + | 0.198820i | ||||
\(529\) | 262.919 | − | 361.877i | 0.497011 | − | 0.684077i | ||||
\(530\) | 113.429 | − | 225.508i | 0.214017 | − | 0.425487i | ||||
\(531\) | 198.941 | − | 325.297i | 0.374653 | − | 0.612612i | ||||
\(532\) | 10.4319 | + | 28.8022i | 0.0196088 | + | 0.0541395i | ||||
\(533\) | −1.73650 | − | 0.275034i | −0.00325797 | − | 0.000516012i | ||||
\(534\) | 168.564 | + | 560.763i | 0.315663 | + | 1.05012i | ||||
\(535\) | 7.78816 | − | 86.2939i | 0.0145573 | − | 0.161297i | ||||
\(536\) | −397.485 | − | 581.279i | −0.741577 | − | 1.08448i | ||||
\(537\) | 171.795 | − | 610.189i | 0.319917 | − | 1.13629i | ||||
\(538\) | 674.121 | − | 816.465i | 1.25301 | − | 1.51759i | ||||
\(539\) | −199.242 | − | 64.7377i | −0.369652 | − | 0.120107i | ||||
\(540\) | −416.197 | + | 344.064i | −0.770736 | + | 0.637155i | ||||
\(541\) | 31.1316 | + | 95.8134i | 0.0575446 | + | 0.177104i | 0.975697 | − | 0.219123i | \(-0.0703194\pi\) |
−0.918153 | + | 0.396227i | \(0.870319\pi\) | |||||||
\(542\) | 256.859 | − | 650.572i | 0.473909 | − | 1.20032i | ||||
\(543\) | 339.119 | − | 508.021i | 0.624528 | − | 0.935581i | ||||
\(544\) | 219.443 | + | 110.490i | 0.403387 | + | 0.203106i | ||||
\(545\) | 569.994 | + | 358.348i | 1.04586 | + | 0.657519i | ||||
\(546\) | −2.24107 | + | 2.94509i | −0.00410453 | + | 0.00539395i | ||||
\(547\) | −396.713 | + | 62.8331i | −0.725252 | + | 0.114869i | −0.508136 | − | 0.861277i | \(-0.669665\pi\) |
−0.217116 | + | 0.976146i | \(0.569665\pi\) | |||||||
\(548\) | −729.481 | + | 24.3250i | −1.33117 | + | 0.0443887i | ||||
\(549\) | 107.330 | + | 258.461i | 0.195501 | + | 0.470785i | ||||
\(550\) | −212.950 | − | 52.5389i | −0.387182 | − | 0.0955253i | ||||
\(551\) | −66.0625 | −0.119896 | ||||||||
\(552\) | −216.912 | + | 2.42497i | −0.392956 | + | 0.00439306i | ||||
\(553\) | 84.8221 | − | 13.4345i | 0.153385 | − | 0.0242938i | ||||
\(554\) | 418.592 | − | 369.752i | 0.755581 | − | 0.667422i | ||||
\(555\) | 732.766 | − | 478.024i | 1.32030 | − | 0.861305i | ||||
\(556\) | −152.409 | − | 790.718i | −0.274117 | − | 1.42215i | ||||
\(557\) | −390.059 | + | 390.059i | −0.700286 | + | 0.700286i | −0.964472 | − | 0.264186i | \(-0.914897\pi\) |
0.264186 | + | 0.964472i | \(0.414897\pi\) | |||||||
\(558\) | 668.650 | − | 11.7459i | 1.19830 | − | 0.0210500i | ||||
\(559\) | 10.7269 | + | 33.0139i | 0.0191894 | + | 0.0590589i | ||||
\(560\) | 54.0980 | − | 70.9178i | 0.0966035 | − | 0.126639i | ||||
\(561\) | −100.346 | − | 11.8310i | −0.178869 | − | 0.0210891i | ||||
\(562\) | 191.371 | + | 158.007i | 0.340517 | + | 0.281151i | ||||
\(563\) | 725.032 | + | 369.422i | 1.28780 | + | 0.656168i | 0.957697 | − | 0.287777i | \(-0.0929162\pi\) |
0.330104 | + | 0.943945i | \(0.392916\pi\) | |||||||
\(564\) | −369.817 | − | 229.425i | −0.655703 | − | 0.406782i | ||||
\(565\) | 574.960 | − | 131.081i | 1.01763 | − | 0.232002i | ||||
\(566\) | 0.359514 | − | 0.0343319i | 0.000635184 | − | 6.06570e-5i | ||||
\(567\) | 53.2146 | + | 72.9676i | 0.0938529 | + | 0.128691i | ||||
\(568\) | −734.652 | + | 94.9555i | −1.29340 | + | 0.167175i | ||||
\(569\) | −117.411 | + | 85.3041i | −0.206346 | + | 0.149919i | −0.686159 | − | 0.727452i | \(-0.740705\pi\) |
0.479813 | + | 0.877371i | \(0.340705\pi\) | |||||||
\(570\) | −192.920 | + | 72.4123i | −0.338456 | + | 0.127039i | ||||
\(571\) | 312.190 | − | 429.693i | 0.546743 | − | 0.752528i | −0.442822 | − | 0.896609i | \(-0.646023\pi\) |
0.989566 | + | 0.144082i | \(0.0460228\pi\) | |||||||
\(572\) | −2.69031 | + | 9.32683i | −0.00470335 | + | 0.0163057i | ||||
\(573\) | −449.309 | − | 569.420i | −0.784135 | − | 0.993752i | ||||
\(574\) | 1.53930 | − | 6.91759i | 0.00268171 | − | 0.0120516i | ||||
\(575\) | 216.449 | − | 64.8798i | 0.376434 | − | 0.112834i | ||||
\(576\) | −348.898 | − | 458.308i | −0.605725 | − | 0.795674i | ||||
\(577\) | 24.2568 | − | 12.3594i | 0.0420395 | − | 0.0214202i | −0.432844 | − | 0.901469i | \(-0.642490\pi\) |
0.474884 | + | 0.880048i | \(0.342490\pi\) | |||||||
\(578\) | 459.223 | + | 28.4499i | 0.794503 | + | 0.0492213i | ||||
\(579\) | 346.637 | − | 752.803i | 0.598683 | − | 1.30018i | ||||
\(580\) | 104.068 | + | 161.775i | 0.179428 | + | 0.278922i | ||||
\(581\) | −11.8744 | − | 16.3437i | −0.0204378 | − | 0.0281303i | ||||
\(582\) | 104.802 | + | 109.552i | 0.180072 | + | 0.188233i | ||||
\(583\) | −109.370 | − | 17.3224i | −0.187598 | − | 0.0297126i | ||||
\(584\) | 366.098 | + | 130.615i | 0.626880 | + | 0.223656i | ||||
\(585\) | −19.9843 | − | 14.8446i | −0.0341611 | − | 0.0253755i | ||||
\(586\) | 361.067 | + | 213.068i | 0.616156 | + | 0.363597i | ||||
\(587\) | 183.509 | − | 360.157i | 0.312622 | − | 0.613555i | −0.680218 | − | 0.733010i | \(-0.738115\pi\) |
0.992840 | + | 0.119455i | \(0.0381147\pi\) | |||||||
\(588\) | 433.727 | + | 374.573i | 0.737630 | + | 0.637029i | ||||
\(589\) | 242.704 | + | 78.8592i | 0.412061 | + | 0.133887i | ||||
\(590\) | −403.614 | − | 128.826i | −0.684092 | − | 0.218350i | ||||
\(591\) | −922.403 | + | 517.115i | −1.56075 | + | 0.874983i | ||||
\(592\) | 478.129 | + | 801.442i | 0.807650 | + | 1.35379i | ||||
\(593\) | −422.343 | − | 422.343i | −0.712215 | − | 0.712215i | 0.254783 | − | 0.966998i | \(-0.417996\pi\) |
−0.966998 | + | 0.254783i | \(0.917996\pi\) | |||||||
\(594\) | 199.299 | + | 128.036i | 0.335520 | + | 0.215548i | ||||
\(595\) | −10.4685 | + | 41.5018i | −0.0175941 | + | 0.0697509i | ||||
\(596\) | 655.788 | − | 362.162i | 1.10032 | − | 0.607654i | ||||
\(597\) | 250.889 | − | 92.6858i | 0.420249 | − | 0.155253i | ||||
\(598\) | −2.49629 | − | 9.68387i | −0.00417441 | − | 0.0161938i | ||||
\(599\) | 266.038i | 0.444137i | 0.975031 | + | 0.222069i | \(0.0712809\pi\) | ||||
−0.975031 | + | 0.222069i | \(0.928719\pi\) | |||||||
\(600\) | 481.230 | + | 358.353i | 0.802051 | + | 0.597256i | ||||
\(601\) | −299.157 | −0.497765 | −0.248882 | − | 0.968534i | \(-0.580063\pi\) | ||||
−0.248882 | + | 0.968534i | \(0.580063\pi\) | |||||||
\(602\) | −135.493 | + | 34.9271i | −0.225071 | + | 0.0580184i | ||||
\(603\) | −414.535 | − | 675.099i | −0.687455 | − | 1.11957i | ||||
\(604\) | 357.505 | + | 647.356i | 0.591896 | + | 1.07178i | ||||
\(605\) | −34.0995 | − | 507.640i | −0.0563629 | − | 0.839074i | ||||
\(606\) | −544.962 | − | 786.126i | −0.899278 | − | 1.29724i | ||||
\(607\) | −63.0528 | + | 63.0528i | −0.103876 | + | 0.103876i | −0.757135 | − | 0.653259i | \(-0.773401\pi\) |
0.653259 | + | 0.757135i | \(0.273401\pi\) | |||||||
\(608\) | −68.9230 | − | 208.714i | −0.113360 | − | 0.343279i | ||||
\(609\) | 28.0614 | − | 15.7317i | 0.0460778 | − | 0.0258320i | ||||
\(610\) | 250.615 | − | 184.081i | 0.410844 | − | 0.301772i | ||||
\(611\) | 6.19985 | − | 19.0812i | 0.0101471 | − | 0.0312294i | ||||
\(612\) | 240.475 | + | 136.268i | 0.392932 | + | 0.222661i | ||||
\(613\) | −299.712 | − | 152.711i | −0.488927 | − | 0.249121i | 0.192105 | − | 0.981374i | \(-0.438469\pi\) |
−0.681032 | + | 0.732254i | \(0.738469\pi\) | |||||||
\(614\) | −216.439 | + | 366.780i | −0.352506 | + | 0.597361i | ||||
\(615\) | 46.6498 | + | 9.81478i | 0.0758534 | + | 0.0159590i | ||||
\(616\) | −36.8525 | − | 13.1481i | −0.0598254 | − | 0.0213443i | ||||
\(617\) | 97.0738 | − | 612.900i | 0.157332 | − | 0.993355i | −0.775055 | − | 0.631893i | \(-0.782278\pi\) |
0.932387 | − | 0.361461i | \(-0.117722\pi\) | |||||||
\(618\) | 627.773 | + | 656.223i | 1.01581 | + | 1.06185i | ||||
\(619\) | −643.280 | + | 467.370i | −1.03922 | + | 0.755041i | −0.970134 | − | 0.242570i | \(-0.922010\pi\) |
−0.0690904 | + | 0.997610i | \(0.522010\pi\) | |||||||
\(620\) | −189.219 | − | 718.563i | −0.305193 | − | 1.15897i | ||||
\(621\) | −243.866 | − | 9.25248i | −0.392698 | − | 0.0148993i | ||||
\(622\) | −58.9266 | + | 951.161i | −0.0947373 | + | 1.52920i | ||||
\(623\) | −49.3987 | − | 96.9503i | −0.0792916 | − | 0.155619i | ||||
\(624\) | 16.6766 | − | 20.6642i | 0.0267254 | − | 0.0331157i | ||||
\(625\) | −584.929 | − | 220.189i | −0.935886 | − | 0.352303i | ||||
\(626\) | −687.158 | − | 152.907i | −1.09770 | − | 0.244260i | ||||
\(627\) | 55.9939 | + | 70.9624i | 0.0893045 | + | 0.113178i | ||||
\(628\) | −1131.61 | − | 326.412i | −1.80193 | − | 0.519764i | ||||
\(629\) | −362.294 | − | 263.222i | −0.575985 | − | 0.418477i | ||||
\(630\) | 64.7027 | − | 76.6992i | 0.102703 | − | 0.121745i | ||||
\(631\) | 329.438 | + | 453.433i | 0.522090 | + | 0.718595i | 0.985899 | − | 0.167340i | \(-0.0535179\pi\) |
−0.463810 | + | 0.885935i | \(0.653518\pi\) | |||||||
\(632\) | −611.119 | + | 78.9886i | −0.966961 | + | 0.124982i | ||||
\(633\) | 309.832 | − | 12.3127i | 0.489465 | − | 0.0194513i | ||||
\(634\) | 57.0008 | + | 596.897i | 0.0899066 | + | 0.941478i | ||||
\(635\) | −449.406 | + | 1050.72i | −0.707726 | + | 1.65467i | ||||
\(636\) | 257.404 | + | 159.687i | 0.404723 | + | 0.251080i | ||||
\(637\) | −11.9942 | + | 23.5400i | −0.0188293 | + | 0.0369545i | ||||
\(638\) | 53.7244 | − | 65.0686i | 0.0842076 | − | 0.101988i | ||||
\(639\) | −830.731 | + | 66.1307i | −1.30005 | + | 0.103491i | ||||
\(640\) | −402.527 | + | 497.566i | −0.628948 | + | 0.777447i | ||||
\(641\) | 457.546 | − | 148.666i | 0.713800 | − | 0.231928i | 0.0704672 | − | 0.997514i | \(-0.477551\pi\) |
0.643333 | + | 0.765586i | \(0.277551\pi\) | |||||||
\(642\) | 102.308 | + | 18.5360i | 0.159358 | + | 0.0288722i | ||||
\(643\) | 710.707 | + | 710.707i | 1.10530 | + | 1.10530i | 0.993760 | + | 0.111538i | \(0.0355778\pi\) |
0.111538 | + | 0.993760i | \(0.464422\pi\) | |||||||
\(644\) | 39.5816 | − | 7.62927i | 0.0614621 | − | 0.0118467i | ||||
\(645\) | −245.489 | − | 908.644i | −0.380603 | − | 1.40875i | ||||
\(646\) | 69.8265 | + | 79.0498i | 0.108091 | + | 0.122368i | ||||
\(647\) | 100.167 | + | 632.431i | 0.154818 | + | 0.977482i | 0.935698 | + | 0.352801i | \(0.114771\pi\) |
−0.780880 | + | 0.624681i | \(0.785229\pi\) | |||||||
\(648\) | −366.730 | − | 534.241i | −0.565942 | − | 0.824445i | ||||
\(649\) | 185.854i | 0.286370i | ||||||||
\(650\) | −10.7452 | + | 25.4881i | −0.0165311 | + | 0.0392125i | ||||
\(651\) | −121.872 | + | 24.2988i | −0.187208 | + | 0.0373254i | ||||
\(652\) | 30.5108 | + | 914.988i | 0.0467957 | + | 1.40336i | ||||
\(653\) | 28.2632 | + | 178.447i | 0.0432821 | + | 0.273273i | 0.999833 | − | 0.0182941i | \(-0.00582351\pi\) |
−0.956551 | + | 0.291567i | \(0.905824\pi\) | |||||||
\(654\) | −489.256 | + | 642.953i | −0.748098 | + | 0.983109i | ||||
\(655\) | 70.1622 | + | 17.6978i | 0.107118 | + | 0.0270196i | ||||
\(656\) | −12.4567 | + | 49.2998i | −0.0189889 | + | 0.0751521i | ||||
\(657\) | 404.151 | + | 166.980i | 0.615147 | + | 0.254155i | ||||
\(658\) | 75.2207 | + | 29.6986i | 0.114317 | + | 0.0451346i | ||||
\(659\) | −311.030 | + | 101.060i | −0.471972 | + | 0.153353i | −0.535339 | − | 0.844637i | \(-0.679816\pi\) |
0.0633667 | + | 0.997990i | \(0.479816\pi\) | |||||||
\(660\) | 85.5665 | − | 248.906i | 0.129646 | − | 0.377130i | ||||
\(661\) | 134.927 | − | 415.264i | 0.204126 | − | 0.628236i | −0.795622 | − | 0.605793i | \(-0.792856\pi\) |
0.999748 | − | 0.0224423i | \(-0.00714419\pi\) | |||||||
\(662\) | −470.032 | − | 388.086i | −0.710019 | − | 0.586233i | ||||
\(663\) | −3.45326 | + | 12.2654i | −0.00520854 | + | 0.0184999i | ||||
\(664\) | 81.8202 | + | 119.653i | 0.123223 | + | 0.180200i | ||||
\(665\) | 32.8761 | − | 19.6315i | 0.0494378 | − | 0.0295211i | ||||
\(666\) | 492.993 | + | 926.936i | 0.740230 | + | 1.39180i | ||||
\(667\) | −13.5991 | + | 85.8613i | −0.0203884 | + | 0.128728i | ||||
\(668\) | 261.055 | − | 94.5515i | 0.390801 | − | 0.141544i | ||||
\(669\) | 183.566 | − | 198.759i | 0.274388 | − | 0.297099i | ||||
\(670\) | −619.175 | + | 625.647i | −0.924142 | + | 0.933801i | ||||
\(671\) | −110.356 | − | 80.1783i | −0.164465 | − | 0.119491i | ||||
\(672\) | 78.9781 | + | 72.2425i | 0.117527 | + | 0.107504i | ||||
\(673\) | −438.195 | − | 860.007i | −0.651107 | − | 1.27787i | −0.946565 | − | 0.322514i | \(-0.895472\pi\) |
0.295457 | − | 0.955356i | \(-0.404528\pi\) | |||||||
\(674\) | −1.96220 | + | 8.81808i | −0.00291128 | + | 0.0130832i | ||||
\(675\) | 520.944 | + | 429.234i | 0.771770 | + | 0.635902i | ||||
\(676\) | −611.105 | − | 286.134i | −0.904002 | − | 0.423276i | ||||
\(677\) | 227.185 | + | 445.875i | 0.335576 | + | 0.658604i | 0.995709 | − | 0.0925444i | \(-0.0295000\pi\) |
−0.660133 | + | 0.751149i | \(0.729500\pi\) | |||||||
\(678\) | 95.1913 | + | 701.224i | 0.140400 | + | 1.03425i | ||||
\(679\) | −22.7921 | − | 16.5594i | −0.0335672 | − | 0.0243880i | ||||
\(680\) | 83.5805 | − | 295.519i | 0.122913 | − | 0.434587i | ||||
\(681\) | 13.8684 | − | 15.0162i | 0.0203647 | − | 0.0220503i | ||||
\(682\) | −275.048 | + | 174.921i | −0.403297 | + | 0.256483i | ||||
\(683\) | −150.666 | + | 951.266i | −0.220594 | + | 1.39278i | 0.590111 | + | 0.807322i | \(0.299084\pi\) |
−0.810705 | + | 0.585455i | \(0.800916\pi\) | |||||||
\(684\) | −65.9203 | − | 238.326i | −0.0963747 | − | 0.348429i | ||||
\(685\) | 202.798 | + | 889.534i | 0.296056 | + | 1.29859i | ||||
\(686\) | −185.817 | − | 109.652i | −0.270871 | − | 0.159842i | ||||
\(687\) | 114.665 | − | 407.271i | 0.166907 | − | 0.592826i | ||||
\(688\) | 978.944 | − | 222.765i | 1.42288 | − | 0.323786i | ||||
\(689\) | −4.31529 | + | 13.2811i | −0.00626313 | + | 0.0192759i | ||||
\(690\) | 54.4012 | + | 265.644i | 0.0788424 | + | 0.384991i | ||||
\(691\) | 447.877 | − | 145.524i | 0.648158 | − | 0.210599i | 0.0335560 | − | 0.999437i | \(-0.489317\pi\) |
0.614602 | + | 0.788838i | \(0.289317\pi\) | |||||||
\(692\) | −479.080 | + | 707.861i | −0.692313 | + | 1.02292i | ||||
\(693\) | −40.6830 | − | 16.8087i | −0.0587057 | − | 0.0242549i | ||||
\(694\) | 352.896 | + | 813.354i | 0.508495 | + | 1.17198i | ||||
\(695\) | −934.324 | + | 374.516i | −1.34435 | + | 0.538871i | ||||
\(696\) | −204.485 | + | 107.087i | −0.293801 | + | 0.153860i | ||||
\(697\) | −3.81709 | − | 24.1002i | −0.00547645 | − | 0.0345770i | ||||
\(698\) | 164.356 | + | 637.585i | 0.235467 | + | 0.913445i | ||||
\(699\) | −918.394 | + | 183.109i | −1.31387 | + | 0.261958i | ||||
\(700\) | −99.8636 | − | 49.5820i | −0.142662 | − | 0.0708314i | ||||
\(701\) | 922.322i | 1.31572i | 0.753139 | + | 0.657862i | \(0.228539\pi\) | ||||
−0.753139 | + | 0.657862i | \(0.771461\pi\) | |||||||
\(702\) | 19.8796 | − | 22.2984i | 0.0283185 | − | 0.0317641i | ||||
\(703\) | 62.6725 | + | 395.699i | 0.0891501 | + | 0.562872i | ||||
\(704\) | 261.624 | + | 101.848i | 0.371626 | + | 0.144670i | ||||
\(705\) | −193.900 | + | 508.272i | −0.275036 | + | 0.720953i | ||||
\(706\) | 103.176 | + | 237.801i | 0.146142 | + | 0.336828i | ||||
\(707\) | 125.688 | + | 125.688i | 0.177777 | + | 0.177777i | ||||
\(708\) | 197.135 | − | 468.635i | 0.278439 | − | 0.661914i | ||||
\(709\) | 365.361 | − | 118.713i | 0.515319 | − | 0.167437i | −0.0398011 | − | 0.999208i | \(-0.512672\pi\) |
0.555120 | + | 0.831770i | \(0.312672\pi\) | |||||||
\(710\) | 290.710 | + | 879.135i | 0.409451 | + | 1.23822i | ||||
\(711\) | −691.042 | + | 55.0107i | −0.971930 | + | 0.0773709i | ||||
\(712\) | 334.451 | + | 705.470i | 0.469734 | + | 0.990829i | ||||
\(713\) | 152.454 | − | 299.208i | 0.213821 | − | 0.419647i | ||||
\(714\) | −48.4846 | − | 16.9500i | −0.0679056 | − | 0.0237394i | ||||
\(715\) | 12.0847 | + | 1.09067i | 0.0169017 | + | 0.00152541i | ||||
\(716\) | 104.326 | − | 838.753i | 0.145706 | − | 1.17144i | ||||
\(717\) | −879.151 | + | 34.9373i | −1.22615 | + | 0.0487271i | ||||
\(718\) | −901.043 | + | 573.032i | −1.25493 | + | 0.798094i | ||||
\(719\) | 380.296 | + | 523.432i | 0.528923 | + | 0.728000i | 0.986966 | − | 0.160930i | \(-0.0514493\pi\) |
−0.458043 | + | 0.888930i | \(0.651449\pi\) | |||||||
\(720\) | −479.771 | + | 536.861i | −0.666349 | + | 0.745640i | ||||
\(721\) | −136.526 | − | 99.1923i | −0.189357 | − | 0.137576i | ||||
\(722\) | −38.8094 | + | 626.440i | −0.0537526 | + | 0.867645i | ||||
\(723\) | −450.555 | − | 570.999i | −0.623175 | − | 0.789764i | ||||
\(724\) | 345.346 | − | 737.564i | 0.476997 | − | 1.01874i | ||||
\(725\) | 173.876 | − | 166.077i | 0.239829 | − | 0.229072i | ||||
\(726\) | 610.391 | + | 13.5249i | 0.840759 | + | 0.0186294i | ||||
\(727\) | −412.143 | − | 808.876i | −0.566909 | − | 1.11262i | −0.979451 | − | 0.201683i | \(-0.935359\pi\) |
0.412542 | − | 0.910939i | \(-0.364641\pi\) | |||||||
\(728\) | −2.36472 | + | 4.33088i | −0.00324825 | + | 0.00594901i | ||||
\(729\) | −382.575 | − | 620.546i | −0.524794 | − | 0.851229i | ||||
\(730\) | 73.5118 | − | 480.282i | 0.100701 | − | 0.657920i | ||||
\(731\) | −389.757 | + | 283.175i | −0.533184 | + | 0.387381i | ||||
\(732\) | 193.220 | + | 319.225i | 0.263962 | + | 0.436100i | ||||
\(733\) | −112.449 | + | 709.978i | −0.153410 | + | 0.968592i | 0.784100 | + | 0.620634i | \(0.213125\pi\) |
−0.937510 | + | 0.347958i | \(0.886875\pi\) | |||||||
\(734\) | 32.7947 | + | 343.418i | 0.0446795 | + | 0.467872i | ||||
\(735\) | 356.891 | − | 621.121i | 0.485566 | − | 0.845062i | ||||
\(736\) | −285.453 | + | 46.6149i | −0.387843 | + | 0.0633355i | ||||
\(737\) | 344.047 | + | 175.301i | 0.466821 | + | 0.237857i | ||||
\(738\) | −16.7191 | + | 54.7076i | −0.0226546 | + | 0.0741295i | ||||
\(739\) | 247.091 | − | 760.469i | 0.334359 | − | 1.02905i | −0.632678 | − | 0.774415i | \(-0.718044\pi\) |
0.967037 | − | 0.254636i | \(-0.0819557\pi\) | |||||||
\(740\) | 870.265 | − | 776.817i | 1.17603 | − | 1.04975i | ||||
\(741\) | 9.94357 | − | 5.57453i | 0.0134191 | − | 0.00752299i | ||||
\(742\) | −52.3560 | − | 20.6712i | −0.0705606 | − | 0.0278587i | ||||
\(743\) | −649.733 | + | 649.733i | −0.874472 | + | 0.874472i | −0.992956 | − | 0.118484i | \(-0.962197\pi\) |
0.118484 | + | 0.992956i | \(0.462197\pi\) | |||||||
\(744\) | 879.079 | − | 149.325i | 1.18156 | − | 0.200705i | ||||
\(745\) | −599.958 | − | 718.996i | −0.805313 | − | 0.965095i | ||||
\(746\) | 222.953 | + | 252.402i | 0.298864 | + | 0.338340i | ||||
\(747\) | 85.3298 | + | 138.965i | 0.114230 | + | 0.186031i | ||||
\(748\) | −134.646 | + | 4.48985i | −0.180008 | + | 0.00600248i | ||||
\(749\) | −19.3209 | −0.0257956 | ||||||||
\(750\) | 325.722 | − | 675.578i | 0.434296 | − | 0.900770i | ||||
\(751\) | 412.955i | 0.549873i | 0.961462 | + | 0.274936i | \(0.0886568\pi\) | ||||
−0.961462 | + | 0.274936i | \(0.911343\pi\) | |||||||
\(752\) | −533.424 | − | 228.408i | −0.709340 | − | 0.303735i | ||||
\(753\) | 1163.02 | − | 429.655i | 1.54452 | − | 0.570591i | ||||
\(754\) | −7.04493 | − | 7.97547i | −0.00934340 | − | 0.0105776i | ||||
\(755\) | 709.751 | − | 592.244i | 0.940068 | − | 0.784429i | ||||
\(756\) | 84.7543 | + | 85.5358i | 0.112109 | + | 0.113143i | ||||
\(757\) | 13.9242 | + | 13.9242i | 0.0183939 | + | 0.0183939i | 0.716244 | − | 0.697850i | \(-0.245860\pi\) |
−0.697850 | + | 0.716244i | \(0.745860\pi\) | |||||||
\(758\) | −235.350 | − | 92.9209i | −0.310488 | − | 0.122587i | ||||
\(759\) | 103.756 | − | 58.1674i | 0.136701 | − | 0.0766369i | ||||
\(760\) | −239.817 | + | 134.071i | −0.315548 | + | 0.176410i | ||||
\(761\) | 609.036 | + | 197.888i | 0.800311 | + | 0.260037i | 0.680489 | − | 0.732759i | \(-0.261768\pi\) |
0.119822 | + | 0.992795i | \(0.461768\pi\) | |||||||
\(762\) | −1207.79 | − | 649.495i | −1.58503 | − | 0.852355i | ||||
\(763\) | 68.1597 | − | 133.771i | 0.0893312 | − | 0.175322i | ||||
\(764\) | −706.268 | − | 660.686i | −0.924435 | − | 0.864772i | ||||
\(765\) | 110.233 | − | 327.443i | 0.144095 | − | 0.428031i | ||||
\(766\) | 25.4081 | + | 266.067i | 0.0331699 | + | 0.347346i | ||||
\(767\) | 23.1496 | + | 3.66653i | 0.0301820 | + | 0.00478036i | ||||
\(768\) | −551.662 | − | 534.315i | −0.718310 | − | 0.695723i | ||||
\(769\) | −602.890 | − | 829.808i | −0.783993 | − | 1.07907i | −0.994830 | − | 0.101552i | \(-0.967619\pi\) |
0.210837 | − | 0.977521i | \(-0.432381\pi\) | |||||||
\(770\) | −7.39991 | + | 48.3466i | −0.00961027 | + | 0.0627878i | ||||
\(771\) | −394.766 | + | 857.326i | −0.512018 | + | 1.11197i | ||||
\(772\) | 306.260 | − | 1061.75i | 0.396710 | − | 1.37532i | ||||
\(773\) | 1078.40 | − | 549.471i | 1.39508 | − | 0.710829i | 0.415073 | − | 0.909788i | \(-0.363756\pi\) |
0.980008 | + | 0.198959i | \(0.0637562\pi\) | |||||||
\(774\) | 1112.29 | − | 196.254i | 1.43706 | − | 0.253558i | ||||
\(775\) | −837.041 | + | 402.587i | −1.08005 | + | 0.519467i | ||||
\(776\) | 160.081 | + | 123.436i | 0.206290 | + | 0.159067i | ||||
\(777\) | −120.850 | − | 153.157i | −0.155535 | − | 0.197113i | ||||
\(778\) | −5.48500 | + | 88.5359i | −0.00705013 | + | 0.113799i | ||||
\(779\) | −12.8310 | + | 17.6603i | −0.0164711 | + | 0.0226705i | ||||
\(780\) | −29.3151 | − | 15.5684i | −0.0375834 | − | 0.0199595i | ||||
\(781\) | 328.614 | − | 238.752i | 0.420761 | − | 0.305701i | ||||
\(782\) | 117.115 | − | 74.4809i | 0.149763 | − | 0.0952441i | ||||
\(783\) | −235.682 | + | 109.036i | −0.300999 | + | 0.139254i | ||||
\(784\) | 646.725 | + | 406.954i | 0.824904 | + | 0.519074i | ||||
\(785\) | −132.329 | + | 1466.22i | −0.168572 | + | 1.86780i | ||||
\(786\) | −28.6553 | + | 81.9673i | −0.0364571 | + | 0.104284i | ||||
\(787\) | −951.581 | − | 484.855i | −1.20912 | − | 0.616080i | −0.271067 | − | 0.962560i | \(-0.587377\pi\) |
−0.938057 | + | 0.346481i | \(0.887377\pi\) | |||||||
\(788\) | −1112.42 | + | 866.306i | −1.41171 | + | 1.09937i | ||||
\(789\) | −70.5719 | − | 8.32060i | −0.0894447 | − | 0.0105457i | ||||
\(790\) | 241.827 | + | 731.308i | 0.306110 | + | 0.925706i | ||||
\(791\) | −40.6358 | − | 125.064i | −0.0513726 | − | 0.158109i | ||||
\(792\) | 288.349 | + | 128.887i | 0.364077 | + | 0.162736i | ||||
\(793\) | −12.1639 | + | 12.1639i | −0.0153391 | + | 0.0153391i | ||||
\(794\) | 298.475 | + | 687.924i | 0.375913 | + | 0.866403i | ||||
\(795\) | 134.961 | − | 353.773i | 0.169762 | − | 0.444998i | ||||
\(796\) | 312.175 | − | 172.400i | 0.392180 | − | 0.216583i | ||||
\(797\) | 563.742 | − | 89.2880i | 0.707330 | − | 0.112030i | 0.207603 | − | 0.978213i | \(-0.433434\pi\) |
0.499727 | + | 0.866183i | \(0.333434\pi\) | |||||||
\(798\) | 19.9487 | + | 41.3936i | 0.0249983 | + | 0.0518717i | ||||
\(799\) | 278.448 | 0.348496 | ||||||||
\(800\) | 706.099 | + | 376.064i | 0.882624 | + | 0.470080i | ||||
\(801\) | 336.849 | + | 811.165i | 0.420536 | + | 1.01269i | ||||
\(802\) | −81.3205 | − | 315.466i | −0.101397 | − | 0.393350i | ||||
\(803\) | −210.515 | + | 33.3423i | −0.262161 | + | 0.0415222i | ||||
\(804\) | −681.582 | − | 806.955i | −0.847738 | − | 1.00368i | ||||
\(805\) | −18.7474 | − | 46.7702i | −0.0232887 | − | 0.0580996i | ||||
\(806\) | 16.3616 | + | 37.7103i | 0.0202998 | + | 0.0467870i | ||||
\(807\) | 881.763 | − | 1320.93i | 1.09264 | − | 1.63685i | ||||
\(808\) | −875.737 | − | 927.207i | −1.08383 | − | 1.14753i | ||||
\(809\) | −104.851 | − | 322.699i | −0.129606 | − | 0.398887i | 0.865106 | − | 0.501589i | \(-0.167251\pi\) |
−0.994712 | + | 0.102702i | \(0.967251\pi\) | |||||||
\(810\) | −568.736 | + | 576.749i | −0.702143 | + | 0.712036i | ||||
\(811\) | 910.650 | + | 295.888i | 1.12287 | + | 0.364844i | 0.810864 | − | 0.585235i | \(-0.198998\pi\) |
0.312010 | + | 0.950079i | \(0.398998\pi\) | |||||||
\(812\) | 33.8422 | − | 26.3548i | 0.0416776 | − | 0.0324566i | ||||
\(813\) | 284.332 | − | 1009.90i | 0.349732 | − | 1.24219i | ||||
\(814\) | −440.713 | − | 260.067i | −0.541417 | − | 0.319493i | ||||
\(815\) | 1115.74 | − | 254.370i | 1.36901 | − | 0.312110i | ||||
\(816\) | 344.275 | + | 131.497i | 0.421906 | + | 0.161149i | ||||
\(817\) | 425.694 | + | 67.4233i | 0.521045 | + | 0.0825254i | ||||
\(818\) | −1166.89 | + | 742.101i | −1.42652 | + | 0.907214i | ||||
\(819\) | −2.89625 | + | 4.73579i | −0.00353632 | + | 0.00578241i | ||||
\(820\) | 63.4594 | + | 3.60038i | 0.0773895 | + | 0.00439071i | ||||
\(821\) | −390.365 | + | 537.292i | −0.475475 | + | 0.654435i | −0.977627 | − | 0.210344i | \(-0.932542\pi\) |
0.502152 | + | 0.864779i | \(0.332542\pi\) | |||||||
\(822\) | −1084.88 | + | 147.273i | −1.31980 | + | 0.179164i | ||||
\(823\) | −961.557 | + | 489.938i | −1.16836 | + | 0.595307i | −0.926975 | − | 0.375123i | \(-0.877600\pi\) |
−0.241381 | + | 0.970430i | \(0.577600\pi\) | |||||||
\(824\) | 958.898 | + | 739.390i | 1.16371 | + | 0.897318i | ||||
\(825\) | −325.771 | − | 46.0067i | −0.394874 | − | 0.0557657i | ||||
\(826\) | −20.5207 | + | 92.2197i | −0.0248435 | + | 0.111646i | ||||
\(827\) | −425.839 | + | 216.976i | −0.514920 | + | 0.262365i | −0.692085 | − | 0.721816i | \(-0.743308\pi\) |
0.177165 | + | 0.984181i | \(0.443308\pi\) | |||||||
\(828\) | −323.321 | + | 36.6167i | −0.390485 | + | 0.0442231i | ||||
\(829\) | 252.608 | − | 347.685i | 0.304714 | − | 0.419403i | −0.629010 | − | 0.777398i | \(-0.716539\pi\) |
0.933724 | + | 0.357995i | \(0.116539\pi\) | |||||||
\(830\) | 127.454 | − | 128.786i | 0.153559 | − | 0.155164i | ||||
\(831\) | 568.401 | − | 615.447i | 0.683996 | − | 0.740610i | ||||
\(832\) | 17.8473 | − | 30.5781i | 0.0214510 | − | 0.0367526i | ||||
\(833\) | −362.153 | − | 57.3594i | −0.434757 | − | 0.0688588i | ||||
\(834\) | −347.724 | − | 1156.78i | −0.416935 | − | 1.38702i | ||||
\(835\) | −177.935 | − | 297.980i | −0.213095 | − | 0.356862i | ||||
\(836\) | 88.0167 | + | 82.3361i | 0.105283 | + | 0.0984882i | ||||
\(837\) | 996.017 | − | 119.247i | 1.18998 | − | 0.142470i | ||||
\(838\) | 857.008 | + | 707.596i | 1.02268 | + | 0.844386i | ||||
\(839\) | −450.091 | − | 146.243i | −0.536461 | − | 0.174307i | 0.0282415 | − | 0.999601i | \(-0.491009\pi\) |
−0.564703 | + | 0.825294i | \(0.691009\pi\) | |||||||
\(840\) | 69.9401 | − | 114.058i | 0.0832620 | − | 0.135783i | ||||
\(841\) | −231.298 | − | 711.863i | −0.275028 | − | 0.846448i | ||||
\(842\) | 201.136 | + | 79.4124i | 0.238879 | + | 0.0943140i | ||||
\(843\) | 309.613 | + | 206.676i | 0.367275 | + | 0.245167i | ||||
\(844\) | 405.962 | − | 78.2485i | 0.480998 | − | 0.0927115i | ||||
\(845\) | −206.297 | + | 817.853i | −0.244138 | + | 0.967873i | ||||
\(846\) | −586.766 | − | 286.104i | −0.693577 | − | 0.338184i | ||||
\(847\) | −112.057 | + | 17.7481i | −0.132299 | + | 0.0209540i | ||||
\(848\) | 371.280 | + | 158.980i | 0.437830 | + | 0.187476i | ||||
\(849\) | 0.531268 | − | 0.105924i | 0.000625758 | − | 0.000124763i | ||||
\(850\) | −382.509 | − | 32.5182i | −0.450011 | − | 0.0382567i | ||||
\(851\) | 527.190 | 0.619495 | ||||||||
\(852\) | −1081.85 | + | 253.459i | −1.26978 | + | 0.297487i | ||||
\(853\) | 1575.74 | − | 249.573i | 1.84729 | − | 0.292583i | 0.868234 | − | 0.496155i | \(-0.165255\pi\) |
0.979060 | + | 0.203572i | \(0.0652551\pi\) | |||||||
\(854\) | −45.9052 | − | 51.9688i | −0.0537532 | − | 0.0608533i | ||||
\(855\) | −276.872 | + | 137.407i | −0.323827 | + | 0.160709i | ||||
\(856\) | 138.575 | + | 3.95599i | 0.161887 | + | 0.00462149i | ||||
\(857\) | 631.827 | − | 631.827i | 0.737255 | − | 0.737255i | −0.234791 | − | 0.972046i | \(-0.575441\pi\) |
0.972046 | + | 0.234791i | \(0.0754407\pi\) | |||||||
\(858\) | −2.59581 | + | 14.3274i | −0.00302542 | + | 0.0166986i | ||||
\(859\) | −228.135 | − | 702.128i | −0.265582 | − | 0.817379i | −0.991559 | − | 0.129659i | \(-0.958612\pi\) |
0.725976 | − | 0.687720i | \(-0.241388\pi\) | |||||||
\(860\) | −505.488 | − | 1148.66i | −0.587777 | − | 1.33565i | ||||
\(861\) | 1.24470 | − | 10.5571i | 0.00144565 | − | 0.0122614i | ||||
\(862\) | 280.903 | − | 340.218i | 0.325874 | − | 0.394684i | ||||
\(863\) | −928.976 | − | 473.337i | −1.07645 | − | 0.548479i | −0.176424 | − | 0.984314i | \(-0.556453\pi\) |
−0.900026 | + | 0.435836i | \(0.856453\pi\) | |||||||
\(864\) | −590.369 | − | 630.841i | −0.683297 | − | 0.730140i | ||||
\(865\) | 982.345 | + | 420.163i | 1.13566 | + | 0.485737i | ||||
\(866\) | 75.7783 | + | 793.531i | 0.0875039 | + | 0.916317i | ||||
\(867\) | 689.611 | − | 27.4050i | 0.795399 | − | 0.0316090i | ||||
\(868\) | −155.791 | + | 56.4259i | −0.179483 | + | 0.0650068i | ||||
\(869\) | 273.357 | − | 198.606i | 0.314565 | − | 0.228545i | ||||
\(870\) | 179.908 | + | 225.579i | 0.206790 | + | 0.259287i | ||||
\(871\) | 28.6225 | − | 39.3954i | 0.0328616 | − | 0.0452301i | ||||
\(872\) | −516.251 | + | 945.488i | −0.592031 | + | 1.08428i | ||||
\(873\) | 173.058 | + | 147.537i | 0.198234 | + | 0.169000i | ||||
\(874\) | −121.202 | − | 26.9700i | −0.138676 | − | 0.0308581i | ||||
\(875\) | −37.1771 | + | 134.319i | −0.0424881 | + | 0.153507i | ||||
\(876\) | 566.185 | + | 139.219i | 0.646330 | + | 0.158926i | ||||
\(877\) | −520.127 | + | 265.018i | −0.593075 | + | 0.302187i | −0.724647 | − | 0.689120i | \(-0.757997\pi\) |
0.131573 | + | 0.991307i | \(0.457997\pi\) | |||||||
\(878\) | 29.8083 | − | 481.149i | 0.0339502 | − | 0.548006i | ||||
\(879\) | 571.222 | + | 263.026i | 0.649854 | + | 0.299233i | ||||
\(880\) | 62.9734 | − | 345.241i | 0.0715606 | − | 0.392319i | ||||
\(881\) | 912.352 | + | 1255.74i | 1.03559 | + | 1.42536i | 0.900669 | + | 0.434505i | \(0.143077\pi\) |
0.134917 | + | 0.990857i | \(0.456923\pi\) | |||||||
\(882\) | 704.218 | + | 492.982i | 0.798433 | + | 0.558936i | ||||
\(883\) | 891.459 | + | 141.193i | 1.00958 | + | 0.159902i | 0.639250 | − | 0.768999i | \(-0.279245\pi\) |
0.370330 | + | 0.928900i | \(0.379245\pi\) | |||||||
\(884\) | −2.09705 | + | 16.8598i | −0.00237223 | + | 0.0190722i | ||||
\(885\) | −621.898 | − | 130.843i | −0.702709 | − | 0.147845i | ||||
\(886\) | 396.630 | − | 672.135i | 0.447664 | − | 0.758617i | ||||
\(887\) | 54.8875 | − | 107.723i | 0.0618800 | − | 0.121446i | −0.857995 | − | 0.513658i | \(-0.828290\pi\) |
0.919875 | + | 0.392212i | \(0.128290\pi\) | |||||||
\(888\) | 835.416 | + | 1123.23i | 0.940783 | + | 1.26490i | ||||
\(889\) | 242.359 | + | 78.7471i | 0.272619 | + | 0.0885794i | ||||
\(890\) | 786.541 | − | 577.727i | 0.883754 | − | 0.649131i | ||||
\(891\) | 316.885 | + | 160.745i | 0.355651 | + | 0.180409i | ||||
\(892\) | 202.196 | − | 298.753i | 0.226677 | − | 0.334925i | ||||
\(893\) | −176.145 | − | 176.145i | −0.197251 | − | 0.197251i | ||||
\(894\) | 923.516 | − | 640.204i | 1.03302 | − | 0.716112i | ||||
\(895\) | −1054.14 | + | 70.8097i | −1.17782 | + | 0.0791170i | ||||
\(896\) | 118.571 | + | 79.4230i | 0.132334 | + | 0.0886417i | ||||
\(897\) | −5.19831 | − | 14.0712i | −0.00579521 | − | 0.0156869i | ||||
\(898\) | −154.808 | + | 39.9063i | −0.172392 | + | 0.0444390i | ||||
\(899\) | − | 357.332i | − | 0.397477i | ||||||
\(900\) | 772.639 | + | 461.551i | 0.858488 | + | 0.512834i | ||||
\(901\) | −193.809 | −0.215104 | ||||||||
\(902\) | −6.96000 | − | 26.9999i | −0.00771619 | − | 0.0299334i | ||||
\(903\) | −196.878 | + | 72.7325i | −0.218026 | + | 0.0805454i | ||||
\(904\) | 265.844 | + | 905.316i | 0.294076 | + | 1.00146i | ||||
\(905\) | −987.095 | − | 248.987i | −1.09071 | − | 0.275123i | ||||
\(906\) | 631.973 | + | 911.642i | 0.697542 | + | 1.00623i | ||||
\(907\) | −609.870 | + | 609.870i | −0.672403 | + | 0.672403i | −0.958270 | − | 0.285866i | \(-0.907719\pi\) |
0.285866 | + | 0.958270i | \(0.407719\pi\) | |||||||
\(908\) | 15.2759 | − | 22.5707i | 0.0168236 | − | 0.0248576i | ||||
\(909\) | −932.819 | − | 1090.21i | −1.02620 | − | 1.19935i | ||||
\(910\) | 5.87596 | + | 1.87550i | 0.00645710 | + | 0.00206099i | ||||
\(911\) | 189.811 | − | 584.178i | 0.208355 | − | 0.641249i | −0.791204 | − | 0.611552i | \(-0.790546\pi\) |
0.999559 | − | 0.0296975i | \(-0.00945439\pi\) | |||||||
\(912\) | −134.602 | − | 300.971i | −0.147590 | − | 0.330012i | ||||
\(913\) | −70.8202 | − | 36.0847i | −0.0775687 | − | 0.0395232i | ||||
\(914\) | −149.285 | − | 88.0938i | −0.163332 | − | 0.0963828i | ||||
\(915\) | 345.981 | − | 312.823i | 0.378121 | − | 0.341883i | ||||
\(916\) | 69.6323 | − | 559.826i | 0.0760177 | − | 0.611164i | ||||
\(917\) | 2.52415 | − | 15.9369i | 0.00275262 | − | 0.0173793i | ||||
\(918\) | 379.582 | + | 166.766i | 0.413488 | + | 0.181662i | ||||
\(919\) | 1355.45 | − | 984.791i | 1.47492 | − | 1.07159i | 0.495766 | − | 0.868456i | \(-0.334887\pi\) |
0.979151 | − | 0.203134i | \(-0.0651126\pi\) | |||||||
\(920\) | 124.886 | + | 339.288i | 0.135745 | + | 0.368791i | ||||
\(921\) | −267.187 | + | 580.259i | −0.290106 | + | 0.630031i | ||||
\(922\) | −232.650 | − | 14.4132i | −0.252332 | − | 0.0156325i | ||||
\(923\) | −23.2555 | − | 45.6416i | −0.0251956 | − | 0.0494492i | ||||
\(924\) | −56.9938 | − | 14.0142i | −0.0616816 | − | 0.0151669i | ||||
\(925\) | −1159.72 | − | 883.920i | −1.25375 | − | 0.955589i | ||||
\(926\) | −16.2305 | + | 72.9396i | −0.0175276 | + | 0.0787685i | ||||
\(927\) | 1036.63 | + | 883.759i | 1.11827 | + | 0.953354i | ||||
\(928\) | −248.122 | + | 182.095i | −0.267373 | + | 0.196223i | ||||
\(929\) | −971.056 | − | 705.513i | −1.04527 | − | 0.759433i | −0.0739628 | − | 0.997261i | \(-0.523565\pi\) |
−0.971307 | + | 0.237828i | \(0.923565\pi\) | |||||||
\(930\) | −391.678 | − | 1043.50i | −0.421159 | − | 1.12205i | ||||
\(931\) | 192.811 | + | 265.381i | 0.207101 | + | 0.285050i | ||||
\(932\) | −1174.00 | + | 425.209i | −1.25965 | + | 0.456233i | ||||
\(933\) | 56.7625 | + | 1428.35i | 0.0608386 | + | 1.53092i | ||||
\(934\) | 741.453 | − | 70.8052i | 0.793847 | − | 0.0758085i | ||||
\(935\) | 37.4321 | + | 164.188i | 0.0400343 | + | 0.175602i | ||||
\(936\) | 21.7424 | − | 33.3735i | 0.0232291 | − | 0.0356554i | ||||
\(937\) | −774.852 | + | 1520.73i | −0.826950 | + | 1.62298i | −0.0455397 | + | 0.998963i | \(0.514501\pi\) |
−0.781410 | + | 0.624018i | \(0.785499\pi\) | |||||||
\(938\) | 151.359 | + | 124.971i | 0.161363 | + | 0.133231i | ||||
\(939\) | −1048.68 | − | 123.642i | −1.11681 | − | 0.131675i | ||||
\(940\) | −153.865 | + | 708.828i | −0.163687 | + | 0.754072i | ||||
\(941\) | −1058.22 | + | 343.836i | −1.12457 | + | 0.365394i | −0.811509 | − | 0.584339i | \(-0.801354\pi\) |
−0.313059 | + | 0.949734i | \(0.601354\pi\) | |||||||
\(942\) | −1738.32 | − | 314.945i | −1.84535 | − | 0.334337i | ||||
\(943\) | 20.3118 | + | 20.3118i | 0.0215395 | + | 0.0215395i | ||||
\(944\) | 166.063 | − | 657.225i | 0.175914 | − | 0.696213i | ||||
\(945\) | 84.8857 | − | 124.299i | 0.0898262 | − | 0.131533i | ||||
\(946\) | −412.599 | + | 364.458i | −0.436151 | + | 0.385263i | ||||
\(947\) | −184.630 | − | 1165.71i | −0.194963 | − | 1.23095i | −0.869959 | − | 0.493124i | \(-0.835855\pi\) |
0.674996 | − | 0.737821i | \(-0.264145\pi\) | |||||||
\(948\) | −899.936 | + | 210.839i | −0.949300 | + | 0.222404i | ||||
\(949\) | 26.8791i | 0.0283236i | ||||||||
\(950\) | 221.403 | + | 262.544i | 0.233055 | + | 0.276363i | ||||
\(951\) | 175.864 | + | 882.058i | 0.184925 | + | 0.927506i | ||||
\(952\) | −67.3063 | − | 12.6389i | −0.0706999 | − | 0.0132761i | ||||
\(953\) | −226.355 | − | 1429.15i | −0.237519 | − | 1.49963i | −0.761646 | − | 0.647994i | \(-0.775608\pi\) |
0.524127 | − | 0.851640i | \(-0.324392\pi\) | |||||||
\(954\) | 408.408 | + | 199.137i | 0.428101 | + | 0.208740i | ||||
\(955\) | −643.427 | + | 1023.45i | −0.673746 | + | 1.07167i | ||||
\(956\) | −1151.92 | + | 222.031i | −1.20494 | + | 0.232250i | ||||
\(957\) | 70.2725 | − | 105.273i | 0.0734300 | − | 0.110003i | ||||
\(958\) | 458.497 | − | 1161.28i | 0.478598 | − | 1.21219i | ||||
\(959\) | 193.489 | − | 62.8685i | 0.201762 | − | 0.0655563i | ||||
\(960\) | −524.984 | + | 803.736i | −0.546859 | + | 0.837225i | ||||
\(961\) | −129.584 | + | 398.819i | −0.134843 | + | 0.415004i | ||||
\(962\) | −41.0878 | + | 49.7637i | −0.0427108 | + | 0.0517294i | ||||
\(963\) | 155.490 | + | 12.0969i | 0.161465 | + | 0.0125616i | ||||
\(964\) | −708.227 | − | 662.519i | −0.734675 | − | 0.687260i | ||||
\(965\) | −1375.70 | − | 124.159i | −1.42560 | − | 0.128663i | ||||
\(966\) | 57.9056 | − | 17.4063i | 0.0599437 | − | 0.0180189i | ||||
\(967\) | 201.468 | − | 1272.02i | 0.208343 | − | 1.31543i | −0.632673 | − | 0.774419i | \(-0.718042\pi\) |
0.841017 | − | 0.541009i | \(-0.181958\pi\) | |||||||
\(968\) | 807.338 | − | 104.350i | 0.834027 | − | 0.107800i | ||||
\(969\) | 116.225 | + | 107.341i | 0.119944 | + | 0.110775i | ||||
\(970\) | 113.543 | − | 225.733i | 0.117054 | − | 0.232715i | ||||
\(971\) | 1010.72 | + | 734.333i | 1.04091 | + | 0.756265i | 0.970463 | − | 0.241251i | \(-0.0775576\pi\) |
0.0704465 | + | 0.997516i | \(0.477558\pi\) | |||||||
\(972\) | −628.531 | − | 741.440i | −0.646637 | − | 0.762798i | ||||
\(973\) | 101.902 | + | 199.995i | 0.104730 | + | 0.205545i | ||||
\(974\) | 251.075 | + | 55.8693i | 0.257777 | + | 0.0573606i | ||||
\(975\) | −12.1573 | + | 39.6697i | −0.0124690 | + | 0.0406868i | ||||
\(976\) | 318.605 | + | 382.134i | 0.326440 | + | 0.391531i | ||||
\(977\) | 87.8673 | + | 172.449i | 0.0899358 | + | 0.176509i | 0.931593 | − | 0.363504i | \(-0.118420\pi\) |
−0.841657 | + | 0.540012i | \(0.818420\pi\) | |||||||
\(978\) | 184.724 | + | 1360.76i | 0.188879 | + | 1.39137i | ||||
\(979\) | −346.346 | − | 251.635i | −0.353775 | − | 0.257033i | ||||
\(980\) | 346.135 | − | 890.213i | 0.353199 | − | 0.908380i | ||||
\(981\) | −632.290 | + | 1033.89i | −0.644536 | + | 1.05391i | ||||
\(982\) | −98.1818 | − | 154.382i | −0.0999814 | − | 0.157212i | ||||
\(983\) | 239.706 | − | 1513.44i | 0.243851 | − | 1.53962i | −0.496882 | − | 0.867818i | \(-0.665522\pi\) |
0.740733 | − | 0.671799i | \(-0.234478\pi\) | |||||||
\(984\) | −11.0889 | + | 75.4634i | −0.0112693 | + | 0.0766904i | ||||
\(985\) | 1326.96 | + | 1159.91i | 1.34717 | + | 1.17757i | ||||
\(986\) | 75.0572 | − | 127.193i | 0.0761229 | − | 0.128999i | ||||
\(987\) | 116.767 | + | 32.8751i | 0.118305 | + | 0.0333081i | ||||
\(988\) | 11.9920 | − | 9.33884i | 0.0121377 | − | 0.00945226i | ||||
\(989\) | 175.260 | − | 539.394i | 0.177209 | − | 0.545394i | ||||
\(990\) | 89.8229 | − | 384.450i | 0.0907302 | − | 0.388334i | ||||
\(991\) | 1025.25 | − | 333.124i | 1.03456 | − | 0.336149i | 0.257968 | − | 0.966153i | \(-0.416947\pi\) |
0.776591 | + | 0.630005i | \(0.216947\pi\) | |||||||
\(992\) | 1128.93 | − | 372.804i | 1.13804 | − | 0.375811i | ||||
\(993\) | −760.451 | − | 507.624i | −0.765812 | − | 0.511202i | ||||
\(994\) | 189.418 | − | 82.1841i | 0.190561 | − | 0.0826802i | ||||
\(995\) | −285.598 | − | 342.264i | −0.287033 | − | 0.343984i | ||||
\(996\) | 140.300 | + | 166.107i | 0.140863 | + | 0.166774i | ||||
\(997\) | −85.2509 | − | 538.253i | −0.0855074 | − | 0.539873i | −0.992839 | − | 0.119457i | \(-0.961884\pi\) |
0.907332 | − | 0.420415i | \(-0.138116\pi\) | |||||||
\(998\) | 105.250 | − | 27.1312i | 0.105461 | − | 0.0271855i | ||||
\(999\) | 876.688 | + | 1308.24i | 0.877566 | + | 1.30955i |
(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 | 300.3.u.a.47.107 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.47.10 | ✓ | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.47.26 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.47.91 | yes | 928 | |
25.8 | odd | 20 | inner | 300.3.u.a.83.91 | yes | 928 | |
75.8 | even | 20 | inner | 300.3.u.a.83.26 | yes | 928 | |
100.83 | even | 20 | inner | 300.3.u.a.83.10 | yes | 928 | |
300.83 | odd | 20 | inner | 300.3.u.a.83.107 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.10 | ✓ | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.47.26 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.47.91 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.47.107 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.83.10 | yes | 928 | 100.83 | even | 20 | inner | |
300.3.u.a.83.26 | yes | 928 | 75.8 | even | 20 | inner | |
300.3.u.a.83.91 | yes | 928 | 25.8 | odd | 20 | inner | |
300.3.u.a.83.107 | yes | 928 | 300.83 | odd | 20 | inner |