Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,3,Mod(5,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.w (of order \(12\), degree \(4\), 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: | \(3.92371580679\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 29.13 | ||
Character | \(\chi\) | \(=\) | 144.29 |
Dual form | 144.3.w.a.5.13 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26432 | − | 1.54968i | −0.632158 | − | 0.774840i | ||||
\(3\) | −2.98386 | + | 0.310733i | −0.994621 | + | 0.103578i | ||||
\(4\) | −0.803013 | + | 3.91857i | −0.200753 | + | 0.979642i | ||||
\(5\) | 2.23236 | − | 8.33129i | 0.446472 | − | 1.66626i | −0.265547 | − | 0.964098i | \(-0.585552\pi\) |
0.712019 | − | 0.702160i | \(-0.247781\pi\) | |||||||
\(6\) | 4.25408 | + | 4.23117i | 0.709014 | + | 0.705195i | ||||
\(7\) | −3.69610 | − | 2.13394i | −0.528014 | − | 0.304849i | 0.212193 | − | 0.977228i | \(-0.431939\pi\) |
−0.740208 | + | 0.672378i | \(0.765273\pi\) | |||||||
\(8\) | 7.08778 | − | 3.70989i | 0.885973 | − | 0.463737i | ||||
\(9\) | 8.80689 | − | 1.85437i | 0.978543 | − | 0.206041i | ||||
\(10\) | −15.7332 | + | 7.07393i | −1.57332 | + | 0.707393i | ||||
\(11\) | −15.6229 | + | 4.18615i | −1.42027 | + | 0.380559i | −0.885578 | − | 0.464491i | \(-0.846237\pi\) |
−0.534688 | + | 0.845050i | \(0.679571\pi\) | |||||||
\(12\) | 1.17845 | − | 11.9420i | 0.0982044 | − | 0.995166i | ||||
\(13\) | −5.18329 | + | 19.3443i | −0.398715 | + | 1.48802i | 0.416645 | + | 0.909069i | \(0.363206\pi\) |
−0.815360 | + | 0.578954i | \(0.803461\pi\) | |||||||
\(14\) | 1.36611 | + | 8.42575i | 0.0975791 | + | 0.601839i | ||||
\(15\) | −4.07226 | + | 25.5531i | −0.271484 | + | 1.70354i | ||||
\(16\) | −14.7103 | − | 6.29332i | −0.919396 | − | 0.393332i | ||||
\(17\) | 10.6727i | 0.627804i | 0.949455 | + | 0.313902i | \(0.101636\pi\) | ||||
−0.949455 | + | 0.313902i | \(0.898364\pi\) | |||||||
\(18\) | −14.0084 | − | 11.3033i | −0.778243 | − | 0.627964i | ||||
\(19\) | −12.2363 | − | 12.2363i | −0.644014 | − | 0.644014i | 0.307526 | − | 0.951540i | \(-0.400499\pi\) |
−0.951540 | + | 0.307526i | \(0.900499\pi\) | |||||||
\(20\) | 30.8541 | + | 15.4378i | 1.54271 | + | 0.771890i | ||||
\(21\) | 11.6917 | + | 5.21890i | 0.556750 | + | 0.248519i | ||||
\(22\) | 26.2395 | + | 18.9179i | 1.19270 | + | 0.859905i | ||||
\(23\) | 9.25997 | + | 16.0387i | 0.402608 | + | 0.697337i | 0.994040 | − | 0.109018i | \(-0.0347706\pi\) |
−0.591432 | + | 0.806355i | \(0.701437\pi\) | |||||||
\(24\) | −19.9962 | + | 13.2722i | −0.833175 | + | 0.553009i | ||||
\(25\) | −42.7763 | − | 24.6969i | −1.71105 | − | 0.987877i | ||||
\(26\) | 36.5308 | − | 16.4249i | 1.40503 | − | 0.631726i | ||||
\(27\) | −25.7023 | + | 8.26978i | −0.951939 | + | 0.306288i | ||||
\(28\) | 11.3300 | − | 12.7698i | 0.404644 | − | 0.456066i | ||||
\(29\) | −6.80700 | − | 25.4041i | −0.234724 | − | 0.876002i | −0.978273 | − | 0.207321i | \(-0.933526\pi\) |
0.743549 | − | 0.668681i | \(-0.233141\pi\) | |||||||
\(30\) | 44.7477 | − | 25.9965i | 1.49159 | − | 0.866550i | ||||
\(31\) | 6.33170 | + | 10.9668i | 0.204248 | + | 0.353769i | 0.949893 | − | 0.312575i | \(-0.101192\pi\) |
−0.745645 | + | 0.666344i | \(0.767858\pi\) | |||||||
\(32\) | 8.84588 | + | 30.7531i | 0.276434 | + | 0.961033i | ||||
\(33\) | 45.3159 | − | 17.3455i | 1.37321 | − | 0.525620i | ||||
\(34\) | 16.5392 | − | 13.4936i | 0.486447 | − | 0.396871i | ||||
\(35\) | −26.0295 | + | 26.0295i | −0.743701 | + | 0.743701i | ||||
\(36\) | 0.194430 | + | 35.9995i | 0.00540085 | + | 0.999985i | ||||
\(37\) | −18.0450 | + | 18.0450i | −0.487703 | + | 0.487703i | −0.907581 | − | 0.419878i | \(-0.862073\pi\) |
0.419878 | + | 0.907581i | \(0.362073\pi\) | |||||||
\(38\) | −3.49179 | + | 34.4328i | −0.0918892 | + | 0.906126i | ||||
\(39\) | 9.45532 | − | 59.3314i | 0.242444 | − | 1.52132i | ||||
\(40\) | −15.0857 | − | 67.3322i | −0.377142 | − | 1.68331i | ||||
\(41\) | −7.43075 | − | 12.8704i | −0.181238 | − | 0.313913i | 0.761065 | − | 0.648676i | \(-0.224677\pi\) |
−0.942302 | + | 0.334763i | \(0.891344\pi\) | |||||||
\(42\) | −6.69444 | − | 24.7168i | −0.159391 | − | 0.588495i | ||||
\(43\) | 4.70515 | + | 17.5598i | 0.109422 | + | 0.408369i | 0.998809 | − | 0.0487861i | \(-0.0155353\pi\) |
−0.889387 | + | 0.457155i | \(0.848869\pi\) | |||||||
\(44\) | −3.85830 | − | 64.5810i | −0.0876887 | − | 1.46775i | ||||
\(45\) | 4.21087 | − | 77.5124i | 0.0935749 | − | 1.72250i | ||||
\(46\) | 13.1474 | − | 34.6280i | 0.285813 | − | 0.752783i | ||||
\(47\) | −16.1577 | − | 9.32866i | −0.343781 | − | 0.198482i | 0.318162 | − | 0.948036i | \(-0.396935\pi\) |
−0.661943 | + | 0.749554i | \(0.730268\pi\) | |||||||
\(48\) | 45.8492 | + | 14.2074i | 0.955192 | + | 0.295988i | ||||
\(49\) | −15.3926 | − | 26.6607i | −0.314134 | − | 0.544096i | ||||
\(50\) | 15.8105 | + | 97.5143i | 0.316209 | + | 1.95029i | ||||
\(51\) | −3.31635 | − | 31.8458i | −0.0650265 | − | 0.624427i | ||||
\(52\) | −71.6397 | − | 35.8448i | −1.37769 | − | 0.689323i | ||||
\(53\) | −38.0269 | − | 38.0269i | −0.717489 | − | 0.717489i | 0.250602 | − | 0.968090i | \(-0.419372\pi\) |
−0.968090 | + | 0.250602i | \(0.919372\pi\) | |||||||
\(54\) | 45.3114 | + | 29.3748i | 0.839100 | + | 0.543978i | ||||
\(55\) | 139.504i | 2.53644i | ||||||||
\(56\) | −34.1139 | − | 1.41280i | −0.609176 | − | 0.0252286i | ||||
\(57\) | 40.3136 | + | 32.7091i | 0.707255 | + | 0.573844i | ||||
\(58\) | −30.7620 | + | 42.6674i | −0.530378 | + | 0.735645i | ||||
\(59\) | 16.9990 | − | 63.4412i | 0.288119 | − | 1.07527i | −0.658411 | − | 0.752658i | \(-0.728771\pi\) |
0.946530 | − | 0.322616i | \(-0.104562\pi\) | |||||||
\(60\) | −96.8615 | − | 36.4769i | −1.61436 | − | 0.607948i | ||||
\(61\) | −11.9218 | + | 3.19445i | −0.195440 | + | 0.0523680i | −0.355211 | − | 0.934786i | \(-0.615591\pi\) |
0.159771 | + | 0.987154i | \(0.448924\pi\) | |||||||
\(62\) | 8.98980 | − | 23.6776i | 0.144997 | − | 0.381897i | ||||
\(63\) | −36.5083 | − | 11.9395i | −0.579496 | − | 0.189516i | ||||
\(64\) | 36.4734 | − | 52.5898i | 0.569897 | − | 0.821716i | ||||
\(65\) | 149.592 | + | 86.3670i | 2.30142 | + | 1.32872i | ||||
\(66\) | −84.1735 | − | 48.2950i | −1.27536 | − | 0.731742i | ||||
\(67\) | 8.10824 | − | 30.2604i | 0.121019 | − | 0.451647i | −0.878648 | − | 0.477470i | \(-0.841554\pi\) |
0.999667 | + | 0.0258228i | \(0.00822056\pi\) | |||||||
\(68\) | −41.8216 | − | 8.57029i | −0.615023 | − | 0.126034i | ||||
\(69\) | −32.6143 | − | 44.9801i | −0.472671 | − | 0.651885i | ||||
\(70\) | 73.2470 | + | 7.42790i | 1.04639 | + | 0.106113i | ||||
\(71\) | 38.1082 | 0.536735 | 0.268367 | − | 0.963317i | \(-0.413516\pi\) | ||||
0.268367 | + | 0.963317i | \(0.413516\pi\) | |||||||
\(72\) | 55.5418 | − | 45.8160i | 0.771414 | − | 0.636333i | ||||
\(73\) | 127.821i | 1.75098i | 0.483240 | + | 0.875488i | \(0.339460\pi\) | ||||
−0.483240 | + | 0.875488i | \(0.660540\pi\) | |||||||
\(74\) | 50.7786 | + | 5.14939i | 0.686197 | + | 0.0695864i | ||||
\(75\) | 135.313 | + | 60.4002i | 1.80417 | + | 0.805336i | ||||
\(76\) | 57.7745 | − | 38.1227i | 0.760191 | − | 0.501615i | ||||
\(77\) | 66.6769 | + | 17.8660i | 0.865934 | + | 0.232026i | ||||
\(78\) | −103.899 | + | 60.3609i | −1.33204 | + | 0.773858i | ||||
\(79\) | 7.54888 | − | 13.0750i | 0.0955554 | − | 0.165507i | −0.814285 | − | 0.580465i | \(-0.802871\pi\) |
0.909840 | + | 0.414959i | \(0.136204\pi\) | |||||||
\(80\) | −85.2703 | + | 108.507i | −1.06588 | + | 1.35634i | ||||
\(81\) | 74.1226 | − | 32.6625i | 0.915094 | − | 0.403240i | ||||
\(82\) | −10.5502 | + | 27.7876i | −0.128661 | + | 0.338873i | ||||
\(83\) | −29.3816 | − | 109.654i | −0.353996 | − | 1.32113i | −0.881744 | − | 0.471729i | \(-0.843630\pi\) |
0.527748 | − | 0.849401i | \(-0.323037\pi\) | |||||||
\(84\) | −29.8392 | + | 41.6241i | −0.355229 | + | 0.495525i | ||||
\(85\) | 88.9171 | + | 23.8253i | 1.04608 | + | 0.280297i | ||||
\(86\) | 21.2633 | − | 29.4927i | 0.247248 | − | 0.342938i | ||||
\(87\) | 28.2050 | + | 73.6871i | 0.324196 | + | 0.846978i | ||||
\(88\) | −95.2018 | + | 87.6299i | −1.08184 | + | 0.995794i | ||||
\(89\) | −102.393 | −1.15049 | −0.575243 | − | 0.817983i | \(-0.695092\pi\) | ||||
−0.575243 | + | 0.817983i | \(0.695092\pi\) | |||||||
\(90\) | −125.443 | + | 91.4746i | −1.39381 | + | 1.01638i | ||||
\(91\) | 60.4377 | − | 60.4377i | 0.664150 | − | 0.664150i | ||||
\(92\) | −70.2848 | + | 23.4065i | −0.763965 | + | 0.254419i | ||||
\(93\) | −22.3007 | − | 30.7561i | −0.239792 | − | 0.330710i | ||||
\(94\) | 5.97202 | + | 36.8337i | 0.0635321 | + | 0.391847i | ||||
\(95\) | −129.260 | + | 74.6281i | −1.36063 | + | 0.785559i | ||||
\(96\) | −35.9509 | − | 89.0142i | −0.374489 | − | 0.927232i | ||||
\(97\) | 40.9773 | − | 70.9747i | 0.422446 | − | 0.731698i | −0.573732 | − | 0.819043i | \(-0.694505\pi\) |
0.996178 | + | 0.0873452i | \(0.0278383\pi\) | |||||||
\(98\) | −21.8545 | + | 57.5611i | −0.223005 | + | 0.587358i | ||||
\(99\) | −129.827 | + | 65.8377i | −1.31138 | + | 0.665027i | ||||
\(100\) | 131.126 | − | 147.790i | 1.31126 | − | 1.47790i | ||||
\(101\) | −95.5779 | + | 25.6100i | −0.946316 | + | 0.253565i | −0.698798 | − | 0.715319i | \(-0.746282\pi\) |
−0.247518 | + | 0.968883i | \(0.579615\pi\) | |||||||
\(102\) | −45.1579 | + | 45.4024i | −0.442724 | + | 0.445122i | ||||
\(103\) | −171.623 | + | 99.0866i | −1.66624 | + | 0.962006i | −0.696608 | + | 0.717452i | \(0.745308\pi\) |
−0.969636 | + | 0.244554i | \(0.921359\pi\) | |||||||
\(104\) | 35.0273 | + | 156.338i | 0.336801 | + | 1.50325i | ||||
\(105\) | 69.5804 | − | 85.7569i | 0.662670 | − | 0.816732i | ||||
\(106\) | −10.8515 | + | 107.007i | −0.102373 | + | 1.00950i | ||||
\(107\) | −49.9526 | − | 49.9526i | −0.466846 | − | 0.466846i | 0.434045 | − | 0.900891i | \(-0.357086\pi\) |
−0.900891 | + | 0.434045i | \(0.857086\pi\) | |||||||
\(108\) | −11.7664 | − | 107.357i | −0.108948 | − | 0.994047i | ||||
\(109\) | −85.4760 | − | 85.4760i | −0.784184 | − | 0.784184i | 0.196350 | − | 0.980534i | \(-0.437091\pi\) |
−0.980534 | + | 0.196350i | \(0.937091\pi\) | |||||||
\(110\) | 216.187 | − | 176.377i | 1.96533 | − | 1.60343i | ||||
\(111\) | 48.2367 | − | 59.4510i | 0.434565 | − | 0.535595i | ||||
\(112\) | 40.9413 | + | 54.6518i | 0.365547 | + | 0.487962i | ||||
\(113\) | 17.2776 | − | 9.97525i | 0.152899 | − | 0.0882765i | −0.421598 | − | 0.906783i | \(-0.638531\pi\) |
0.574498 | + | 0.818506i | \(0.305197\pi\) | |||||||
\(114\) | −0.280381 | − | 103.828i | −0.00245948 | − | 0.910770i | ||||
\(115\) | 154.295 | − | 41.3432i | 1.34170 | − | 0.359506i | ||||
\(116\) | 105.014 | − | 6.27389i | 0.905290 | − | 0.0540853i | ||||
\(117\) | −9.77716 | + | 179.975i | −0.0835655 | + | 1.53825i | ||||
\(118\) | −119.806 | + | 53.8666i | −1.01530 | + | 0.456497i | ||||
\(119\) | 22.7749 | − | 39.4473i | 0.191386 | − | 0.331490i | ||||
\(120\) | 65.9360 | + | 196.223i | 0.549467 | + | 1.63519i | ||||
\(121\) | 121.763 | − | 70.2998i | 1.00630 | − | 0.580990i | ||||
\(122\) | 20.0233 | + | 14.4362i | 0.164126 | + | 0.118330i | ||||
\(123\) | 26.1716 | + | 36.0946i | 0.212777 | + | 0.293452i | ||||
\(124\) | −48.0587 | + | 16.0047i | −0.387570 | + | 0.129070i | ||||
\(125\) | −148.776 | + | 148.776i | −1.19021 | + | 1.19021i | ||||
\(126\) | 27.6556 | + | 71.6714i | 0.219489 | + | 0.568821i | ||||
\(127\) | 76.3214 | 0.600956 | 0.300478 | − | 0.953789i | \(-0.402854\pi\) | ||||
0.300478 | + | 0.953789i | \(0.402854\pi\) | |||||||
\(128\) | −127.611 | + | 9.96809i | −0.996963 | + | 0.0778757i | ||||
\(129\) | −19.4959 | − | 50.9342i | −0.151131 | − | 0.394838i | ||||
\(130\) | −55.2904 | − | 341.015i | −0.425310 | − | 2.62319i | ||||
\(131\) | −26.4201 | − | 7.07925i | −0.201680 | − | 0.0540401i | 0.156565 | − | 0.987668i | \(-0.449958\pi\) |
−0.358245 | + | 0.933628i | \(0.616625\pi\) | |||||||
\(132\) | 31.5801 | + | 191.502i | 0.239243 | + | 1.45077i | ||||
\(133\) | 19.1150 | + | 71.3380i | 0.143721 | + | 0.536376i | ||||
\(134\) | −57.1453 | + | 25.6935i | −0.426457 | + | 0.191742i | ||||
\(135\) | 11.5210 | + | 232.595i | 0.0853407 | + | 1.72292i | ||||
\(136\) | 39.5945 | + | 75.6456i | 0.291136 | + | 0.556217i | ||||
\(137\) | 103.573 | − | 179.394i | 0.756009 | − | 1.30945i | −0.188863 | − | 0.982003i | \(-0.560480\pi\) |
0.944871 | − | 0.327442i | \(-0.106187\pi\) | |||||||
\(138\) | −28.4699 | + | 107.411i | −0.206304 | + | 0.778338i | ||||
\(139\) | 35.0078 | + | 9.38031i | 0.251855 | + | 0.0674842i | 0.382537 | − | 0.923940i | \(-0.375050\pi\) |
−0.130683 | + | 0.991424i | \(0.541717\pi\) | |||||||
\(140\) | −81.0965 | − | 122.901i | −0.579261 | − | 0.877861i | ||||
\(141\) | 51.1112 | + | 22.8147i | 0.362490 | + | 0.161807i | ||||
\(142\) | −48.1807 | − | 59.0554i | −0.339301 | − | 0.415883i | ||||
\(143\) | − | 323.913i | − | 2.26512i | ||||||
\(144\) | −141.222 | − | 28.1462i | −0.980712 | − | 0.195459i | ||||
\(145\) | −226.844 | −1.56444 | ||||||||
\(146\) | 198.082 | − | 161.606i | 1.35673 | − | 1.10689i | ||||
\(147\) | 54.2137 | + | 74.7689i | 0.368800 | + | 0.508632i | ||||
\(148\) | −56.2202 | − | 85.2009i | −0.379866 | − | 0.575682i | ||||
\(149\) | −24.5447 | + | 91.6021i | −0.164730 | + | 0.614779i | 0.833345 | + | 0.552753i | \(0.186423\pi\) |
−0.998075 | + | 0.0620258i | \(0.980244\pi\) | |||||||
\(150\) | −77.4772 | − | 286.057i | −0.516514 | − | 1.90704i | ||||
\(151\) | 85.7840 | + | 49.5274i | 0.568106 | + | 0.327996i | 0.756393 | − | 0.654118i | \(-0.226960\pi\) |
−0.188286 | + | 0.982114i | \(0.560293\pi\) | |||||||
\(152\) | −132.123 | − | 41.3328i | −0.869232 | − | 0.271926i | ||||
\(153\) | 19.7911 | + | 93.9930i | 0.129353 | + | 0.614333i | ||||
\(154\) | −56.6140 | − | 125.916i | −0.367624 | − | 0.817637i | ||||
\(155\) | 105.502 | − | 28.2693i | 0.680661 | − | 0.182383i | ||||
\(156\) | 224.901 | + | 84.6952i | 1.44168 | + | 0.542918i | ||||
\(157\) | 9.17060 | − | 34.2252i | 0.0584115 | − | 0.217995i | −0.930551 | − | 0.366163i | \(-0.880671\pi\) |
0.988962 | + | 0.148169i | \(0.0473378\pi\) | |||||||
\(158\) | −29.8063 | + | 4.83263i | −0.188647 | + | 0.0305863i | ||||
\(159\) | 125.283 | + | 101.651i | 0.787945 | + | 0.639314i | ||||
\(160\) | 275.960 | − | 5.04566i | 1.72475 | − | 0.0315354i | ||||
\(161\) | − | 79.0411i | − | 0.490938i | ||||||
\(162\) | −144.331 | − | 73.5706i | −0.890930 | − | 0.454140i | ||||
\(163\) | 79.4058 | + | 79.4058i | 0.487152 | + | 0.487152i | 0.907406 | − | 0.420254i | \(-0.138059\pi\) |
−0.420254 | + | 0.907406i | \(0.638059\pi\) | |||||||
\(164\) | 56.4007 | − | 18.7828i | 0.343906 | − | 0.114529i | ||||
\(165\) | −43.3485 | − | 416.261i | −0.262718 | − | 2.52280i | ||||
\(166\) | −132.781 | + | 184.169i | −0.799883 | + | 1.10945i | ||||
\(167\) | −148.694 | − | 257.546i | −0.890384 | − | 1.54219i | −0.839415 | − | 0.543491i | \(-0.817102\pi\) |
−0.0509694 | − | 0.998700i | \(-0.516231\pi\) | |||||||
\(168\) | 102.230 | − | 6.38470i | 0.608513 | − | 0.0380041i | ||||
\(169\) | −200.977 | − | 116.034i | −1.18922 | − | 0.686594i | ||||
\(170\) | −75.4977 | − | 167.916i | −0.444104 | − | 0.987739i | ||||
\(171\) | −130.454 | − | 85.0729i | −0.762889 | − | 0.497502i | ||||
\(172\) | −72.5877 | + | 4.33665i | −0.422022 | + | 0.0252131i | ||||
\(173\) | 7.21216 | + | 26.9161i | 0.0416888 | + | 0.155585i | 0.983633 | − | 0.180186i | \(-0.0576700\pi\) |
−0.941944 | + | 0.335771i | \(0.891003\pi\) | |||||||
\(174\) | 78.5313 | − | 136.872i | 0.451329 | − | 0.786623i | ||||
\(175\) | 105.404 | + | 182.565i | 0.602307 | + | 1.04323i | ||||
\(176\) | 256.163 | + | 36.7404i | 1.45547 | + | 0.208752i | ||||
\(177\) | −31.0095 | + | 194.582i | −0.175195 | + | 1.09933i | ||||
\(178\) | 129.457 | + | 158.677i | 0.727288 | + | 0.891442i | ||||
\(179\) | 38.8769 | − | 38.8769i | 0.217190 | − | 0.217190i | −0.590123 | − | 0.807313i | \(-0.700921\pi\) |
0.807313 | + | 0.590123i | \(0.200921\pi\) | |||||||
\(180\) | 300.356 | + | 78.7440i | 1.66865 | + | 0.437467i | ||||
\(181\) | −174.343 | + | 174.343i | −0.963219 | + | 0.963219i | −0.999347 | − | 0.0361282i | \(-0.988498\pi\) |
0.0361282 | + | 0.999347i | \(0.488498\pi\) | |||||||
\(182\) | −170.071 | − | 17.2467i | −0.934457 | − | 0.0947622i | ||||
\(183\) | 34.5805 | − | 13.2363i | 0.188965 | − | 0.0723295i | ||||
\(184\) | 125.135 | + | 79.3257i | 0.680080 | + | 0.431118i | ||||
\(185\) | 110.055 | + | 190.621i | 0.594893 | + | 1.03038i | ||||
\(186\) | −19.4669 | + | 73.4443i | −0.104661 | + | 0.394862i | ||||
\(187\) | −44.6774 | − | 166.738i | −0.238917 | − | 0.891649i | ||||
\(188\) | 49.5298 | − | 55.8241i | 0.263457 | − | 0.296937i | ||||
\(189\) | 112.646 | + | 24.2814i | 0.596009 | + | 0.128473i | ||||
\(190\) | 279.075 | + | 105.958i | 1.46881 | + | 0.557671i | ||||
\(191\) | −18.5440 | − | 10.7064i | −0.0970889 | − | 0.0560543i | 0.450669 | − | 0.892691i | \(-0.351185\pi\) |
−0.547758 | + | 0.836637i | \(0.684519\pi\) | |||||||
\(192\) | −92.4902 | + | 168.254i | −0.481720 | + | 0.876325i | ||||
\(193\) | 62.0847 | + | 107.534i | 0.321683 | + | 0.557171i | 0.980835 | − | 0.194839i | \(-0.0624183\pi\) |
−0.659153 | + | 0.752009i | \(0.729085\pi\) | |||||||
\(194\) | −161.796 | + | 26.2328i | −0.834001 | + | 0.135221i | ||||
\(195\) | −473.199 | − | 211.224i | −2.42666 | − | 1.08320i | ||||
\(196\) | 116.832 | − | 38.9079i | 0.596082 | − | 0.198510i | ||||
\(197\) | 234.620 | + | 234.620i | 1.19096 | + | 1.19096i | 0.976797 | + | 0.214168i | \(0.0687040\pi\) |
0.214168 | + | 0.976797i | \(0.431296\pi\) | |||||||
\(198\) | 266.169 | + | 117.950i | 1.34429 | + | 0.595708i | ||||
\(199\) | − | 202.984i | − | 1.02002i | −0.860169 | − | 0.510010i | \(-0.829642\pi\) | ||
0.860169 | − | 0.510010i | \(-0.170358\pi\) | |||||||
\(200\) | −394.812 | − | 16.3509i | −1.97406 | − | 0.0817544i | ||||
\(201\) | −14.7910 | + | 92.8123i | −0.0735870 | + | 0.461753i | ||||
\(202\) | 160.528 | + | 115.736i | 0.794693 | + | 0.572951i | ||||
\(203\) | −29.0515 | + | 108.422i | −0.143111 | + | 0.534097i | ||||
\(204\) | 127.453 | + | 12.5772i | 0.624769 | + | 0.0616531i | ||||
\(205\) | −123.815 | + | 33.1763i | −0.603978 | + | 0.161835i | ||||
\(206\) | 370.538 | + | 140.684i | 1.79873 | + | 0.682932i | ||||
\(207\) | 111.293 | + | 124.080i | 0.537649 | + | 0.599420i | ||||
\(208\) | 197.988 | − | 251.941i | 0.951865 | − | 1.21126i | ||||
\(209\) | 242.389 | + | 139.943i | 1.15976 | + | 0.669586i | ||||
\(210\) | −220.867 | + | 0.596439i | −1.05175 | + | 0.00284019i | ||||
\(211\) | 50.6135 | − | 188.892i | 0.239875 | − | 0.895224i | −0.736016 | − | 0.676964i | \(-0.763295\pi\) |
0.975891 | − | 0.218260i | \(-0.0700381\pi\) | |||||||
\(212\) | 179.547 | − | 118.475i | 0.846920 | − | 0.558844i | ||||
\(213\) | −113.710 | + | 11.8415i | −0.533848 | + | 0.0555937i | ||||
\(214\) | −14.2547 | + | 140.566i | −0.0666106 | + | 0.656852i | ||||
\(215\) | 156.800 | 0.729301 | ||||||||
\(216\) | −151.493 | + | 153.967i | −0.701355 | + | 0.712812i | ||||
\(217\) | − | 54.0460i | − | 0.249060i | ||||||
\(218\) | −24.3918 | + | 240.529i | −0.111889 | + | 1.10334i | ||||
\(219\) | −39.7183 | − | 381.401i | −0.181362 | − | 1.74156i | ||||
\(220\) | −546.656 | − | 112.024i | −2.48480 | − | 0.509198i | ||||
\(221\) | −206.455 | − | 55.3196i | −0.934187 | − | 0.250315i | ||||
\(222\) | −153.116 | + | 0.413482i | −0.689713 | + | 0.00186253i | ||||
\(223\) | 98.9068 | − | 171.312i | 0.443528 | − | 0.768214i | −0.554420 | − | 0.832237i | \(-0.687060\pi\) |
0.997948 | + | 0.0640232i | \(0.0203932\pi\) | |||||||
\(224\) | 32.9300 | − | 132.543i | 0.147009 | − | 0.591710i | ||||
\(225\) | −422.524 | − | 138.180i | −1.87788 | − | 0.614133i | ||||
\(226\) | −37.3028 | − | 14.1629i | −0.165057 | − | 0.0626679i | ||||
\(227\) | 67.3687 | + | 251.423i | 0.296778 | + | 1.10759i | 0.939795 | + | 0.341740i | \(0.111016\pi\) |
−0.643016 | + | 0.765853i | \(0.722317\pi\) | |||||||
\(228\) | −160.545 | + | 131.706i | −0.704146 | + | 0.577656i | ||||
\(229\) | 108.797 | + | 29.1520i | 0.475095 | + | 0.127301i | 0.488418 | − | 0.872610i | \(-0.337574\pi\) |
−0.0133229 | + | 0.999911i | \(0.504241\pi\) | |||||||
\(230\) | −259.146 | − | 186.837i | −1.12672 | − | 0.812335i | ||||
\(231\) | −204.506 | − | 32.5911i | −0.885309 | − | 0.141087i | ||||
\(232\) | −142.493 | − | 154.805i | −0.614193 | − | 0.667264i | ||||
\(233\) | −281.212 | −1.20692 | −0.603460 | − | 0.797394i | \(-0.706212\pi\) | ||||
−0.603460 | + | 0.797394i | \(0.706212\pi\) | |||||||
\(234\) | 291.265 | − | 212.394i | 1.24472 | − | 0.907665i | ||||
\(235\) | −113.790 | + | 113.790i | −0.484211 | + | 0.484211i | ||||
\(236\) | 234.948 | + | 117.556i | 0.995543 | + | 0.498118i | ||||
\(237\) | −18.4620 | + | 41.3598i | −0.0778986 | + | 0.174514i | ||||
\(238\) | −89.9252 | + | 14.5800i | −0.377837 | + | 0.0612605i | ||||
\(239\) | −237.936 | + | 137.372i | −0.995546 | + | 0.574779i | −0.906927 | − | 0.421287i | \(-0.861579\pi\) |
−0.0886186 | + | 0.996066i | \(0.528245\pi\) | |||||||
\(240\) | 220.718 | − | 350.267i | 0.919659 | − | 1.45945i | ||||
\(241\) | −58.8394 | + | 101.913i | −0.244147 | + | 0.422875i | −0.961891 | − | 0.273432i | \(-0.911841\pi\) |
0.717745 | + | 0.696306i | \(0.245175\pi\) | |||||||
\(242\) | −262.889 | − | 99.8122i | −1.08632 | − | 0.412447i | ||||
\(243\) | −211.023 | + | 120.493i | −0.868405 | + | 0.495855i | ||||
\(244\) | −2.94427 | − | 49.2817i | −0.0120667 | − | 0.201974i | ||||
\(245\) | −256.480 | + | 68.7235i | −1.04686 | + | 0.280504i | ||||
\(246\) | 22.8460 | − | 86.1926i | 0.0928698 | − | 0.350377i | ||||
\(247\) | 300.126 | − | 173.278i | 1.21509 | − | 0.701530i | ||||
\(248\) | 85.5635 | + | 54.2406i | 0.345014 | + | 0.218712i | ||||
\(249\) | 121.744 | + | 318.062i | 0.488931 | + | 1.27736i | ||||
\(250\) | 418.656 | + | 42.4554i | 1.67462 | + | 0.169822i | ||||
\(251\) | 162.917 | + | 162.917i | 0.649070 | + | 0.649070i | 0.952768 | − | 0.303698i | \(-0.0982215\pi\) |
−0.303698 | + | 0.952768i | \(0.598222\pi\) | |||||||
\(252\) | 76.1023 | − | 133.473i | 0.301993 | − | 0.529653i | ||||
\(253\) | −211.808 | − | 211.808i | −0.837188 | − | 0.837188i | ||||
\(254\) | −96.4944 | − | 118.274i | −0.379899 | − | 0.465645i | ||||
\(255\) | −272.720 | − | 43.4619i | −1.06949 | − | 0.170439i | ||||
\(256\) | 176.788 | + | 185.154i | 0.690579 | + | 0.723257i | ||||
\(257\) | 128.327 | − | 74.0896i | 0.499327 | − | 0.288286i | −0.229109 | − | 0.973401i | \(-0.573581\pi\) |
0.728435 | + | 0.685114i | \(0.240248\pi\) | |||||||
\(258\) | −54.2826 | + | 94.6093i | −0.210398 | + | 0.366703i | ||||
\(259\) | 105.203 | − | 28.1891i | 0.406190 | − | 0.108838i | ||||
\(260\) | −458.559 | + | 516.833i | −1.76369 | + | 1.98782i | ||||
\(261\) | −107.057 | − | 211.108i | −0.410180 | − | 0.808843i | ||||
\(262\) | 22.4328 | + | 49.8931i | 0.0856214 | + | 0.190432i | ||||
\(263\) | −116.549 | + | 201.869i | −0.443153 | + | 0.767563i | −0.997921 | − | 0.0644415i | \(-0.979473\pi\) |
0.554769 | + | 0.832005i | \(0.312807\pi\) | |||||||
\(264\) | 256.840 | − | 291.058i | 0.972877 | − | 1.10249i | ||||
\(265\) | −401.703 | + | 231.923i | −1.51586 | + | 0.875182i | ||||
\(266\) | 86.3837 | − | 119.816i | 0.324751 | − | 0.450435i | ||||
\(267\) | 305.527 | − | 31.8170i | 1.14430 | − | 0.119165i | ||||
\(268\) | 112.066 | + | 56.0722i | 0.418158 | + | 0.209224i | ||||
\(269\) | 105.443 | − | 105.443i | 0.391983 | − | 0.391983i | −0.483411 | − | 0.875394i | \(-0.660602\pi\) |
0.875394 | + | 0.483411i | \(0.160602\pi\) | |||||||
\(270\) | 345.881 | − | 311.927i | 1.28104 | − | 1.15529i | ||||
\(271\) | 95.2203 | 0.351367 | 0.175683 | − | 0.984447i | \(-0.443787\pi\) | ||||
0.175683 | + | 0.984447i | \(0.443787\pi\) | |||||||
\(272\) | 67.1665 | − | 156.999i | 0.246936 | − | 0.577201i | ||||
\(273\) | −161.558 | + | 199.118i | −0.591787 | + | 0.729369i | ||||
\(274\) | −408.952 | + | 66.3054i | −1.49253 | + | 0.241990i | ||||
\(275\) | 771.676 | + | 206.770i | 2.80610 | + | 0.751891i | ||||
\(276\) | 202.447 | − | 91.6817i | 0.733504 | − | 0.332180i | ||||
\(277\) | 48.0221 | + | 179.221i | 0.173365 | + | 0.647007i | 0.996824 | + | 0.0796318i | \(0.0253745\pi\) |
−0.823459 | + | 0.567375i | \(0.807959\pi\) | |||||||
\(278\) | −29.7244 | − | 66.1105i | −0.106922 | − | 0.237808i | ||||
\(279\) | 76.0991 | + | 84.8423i | 0.272757 | + | 0.304094i | ||||
\(280\) | −87.9250 | + | 281.059i | −0.314018 | + | 1.00378i | ||||
\(281\) | 121.707 | − | 210.803i | 0.433123 | − | 0.750190i | −0.564018 | − | 0.825763i | \(-0.690745\pi\) |
0.997140 | + | 0.0755723i | \(0.0240784\pi\) | |||||||
\(282\) | −29.2651 | − | 108.051i | −0.103777 | − | 0.383159i | ||||
\(283\) | 103.140 | + | 27.6363i | 0.364453 | + | 0.0976548i | 0.436398 | − | 0.899754i | \(-0.356254\pi\) |
−0.0719452 | + | 0.997409i | \(0.522921\pi\) | |||||||
\(284\) | −30.6013 | + | 149.329i | −0.107751 | + | 0.525808i | ||||
\(285\) | 362.504 | − | 262.845i | 1.27194 | − | 0.922264i | ||||
\(286\) | −501.961 | + | 409.528i | −1.75511 | + | 1.43192i | ||||
\(287\) | 63.4272i | 0.221001i | ||||||||
\(288\) | 134.932 | + | 254.435i | 0.468515 | + | 0.883456i | ||||
\(289\) | 175.094 | 0.605862 | ||||||||
\(290\) | 286.803 | + | 351.536i | 0.988975 | + | 1.21219i | ||||
\(291\) | −100.216 | + | 224.512i | −0.344386 | + | 0.771518i | ||||
\(292\) | −500.876 | − | 102.642i | −1.71533 | − | 0.351514i | ||||
\(293\) | −65.6590 | + | 245.043i | −0.224092 | + | 0.836324i | 0.758674 | + | 0.651471i | \(0.225848\pi\) |
−0.982766 | + | 0.184853i | \(0.940819\pi\) | |||||||
\(294\) | 47.3247 | − | 178.545i | 0.160968 | − | 0.607297i | ||||
\(295\) | −490.599 | − | 283.247i | −1.66305 | − | 0.960160i | ||||
\(296\) | −60.9541 | + | 194.844i | −0.205926 | + | 0.658257i | ||||
\(297\) | 366.927 | − | 236.792i | 1.23545 | − | 0.797280i | ||||
\(298\) | 172.986 | − | 77.7775i | 0.580490 | − | 0.260998i | ||||
\(299\) | −358.256 | + | 95.9943i | −1.19818 | + | 0.321051i | ||||
\(300\) | −345.340 | + | 481.730i | −1.15113 | + | 1.60577i | ||||
\(301\) | 20.0810 | − | 74.9435i | 0.0667144 | − | 0.248982i | ||||
\(302\) | −31.7064 | − | 195.556i | −0.104988 | − | 0.647537i | ||||
\(303\) | 277.234 | − | 106.116i | 0.914963 | − | 0.350218i | ||||
\(304\) | 102.993 | + | 257.006i | 0.338792 | + | 0.845415i | ||||
\(305\) | 106.455i | 0.349034i | ||||||||
\(306\) | 120.637 | − | 149.507i | 0.394238 | − | 0.488584i | ||||
\(307\) | −62.8799 | − | 62.8799i | −0.204821 | − | 0.204821i | 0.597241 | − | 0.802062i | \(-0.296264\pi\) |
−0.802062 | + | 0.597241i | \(0.796264\pi\) | |||||||
\(308\) | −123.552 | + | 246.931i | −0.401142 | + | 0.801725i | ||||
\(309\) | 481.310 | − | 348.990i | 1.55764 | − | 1.12942i | ||||
\(310\) | −177.197 | − | 127.754i | −0.571602 | − | 0.412109i | ||||
\(311\) | −146.124 | − | 253.095i | −0.469853 | − | 0.813809i | 0.529553 | − | 0.848277i | \(-0.322360\pi\) |
−0.999406 | + | 0.0344676i | \(0.989026\pi\) | |||||||
\(312\) | −153.096 | − | 455.606i | −0.490692 | − | 1.46028i | ||||
\(313\) | −118.420 | − | 68.3697i | −0.378338 | − | 0.218434i | 0.298757 | − | 0.954329i | \(-0.403428\pi\) |
−0.677095 | + | 0.735896i | \(0.736761\pi\) | |||||||
\(314\) | −64.6326 | + | 29.0599i | −0.205836 | + | 0.0925474i | ||||
\(315\) | −180.971 | + | 277.508i | −0.574511 | + | 0.880977i | ||||
\(316\) | 45.1736 | + | 40.0802i | 0.142954 | + | 0.126836i | ||||
\(317\) | 34.1866 | + | 127.586i | 0.107844 | + | 0.402480i | 0.998652 | − | 0.0518996i | \(-0.0165276\pi\) |
−0.890808 | + | 0.454380i | \(0.849861\pi\) | |||||||
\(318\) | −0.871345 | − | 322.668i | −0.00274008 | − | 1.01468i | ||||
\(319\) | 212.690 | + | 368.391i | 0.666741 | + | 1.15483i | ||||
\(320\) | −356.719 | − | 421.270i | −1.11475 | − | 1.31647i | ||||
\(321\) | 164.574 | + | 133.530i | 0.512690 | + | 0.415980i | ||||
\(322\) | −122.488 | + | 99.9329i | −0.380399 | + | 0.310351i | ||||
\(323\) | 130.594 | − | 130.594i | 0.404314 | − | 0.404314i | ||||
\(324\) | 68.4687 | + | 316.683i | 0.211323 | + | 0.977416i | ||||
\(325\) | 699.467 | − | 699.467i | 2.15221 | − | 2.15221i | ||||
\(326\) | 22.6596 | − | 223.448i | 0.0695078 | − | 0.685422i | ||||
\(327\) | 281.609 | + | 228.489i | 0.861190 | + | 0.698742i | ||||
\(328\) | −100.415 | − | 63.6556i | −0.306145 | − | 0.194072i | ||||
\(329\) | 39.8137 | + | 68.9594i | 0.121014 | + | 0.209603i | ||||
\(330\) | −590.265 | + | 593.462i | −1.78868 | + | 1.79837i | ||||
\(331\) | −54.4461 | − | 203.196i | −0.164490 | − | 0.613884i | −0.998105 | − | 0.0615381i | \(-0.980399\pi\) |
0.833615 | − | 0.552346i | \(-0.186267\pi\) | |||||||
\(332\) | 453.280 | − | 27.0806i | 1.36530 | − | 0.0815679i | ||||
\(333\) | −125.458 | + | 192.383i | −0.376752 | + | 0.577725i | ||||
\(334\) | −211.117 | + | 556.048i | −0.632088 | + | 1.66481i | ||||
\(335\) | −234.007 | − | 135.104i | −0.698530 | − | 0.403296i | ||||
\(336\) | −139.145 | − | 150.352i | −0.414123 | − | 0.447475i | ||||
\(337\) | −214.471 | − | 371.475i | −0.636414 | − | 1.10230i | −0.986214 | − | 0.165476i | \(-0.947084\pi\) |
0.349800 | − | 0.936824i | \(-0.386249\pi\) | |||||||
\(338\) | 74.2828 | + | 458.155i | 0.219772 | + | 1.35549i | ||||
\(339\) | −48.4545 | + | 35.1335i | −0.142934 | + | 0.103639i | ||||
\(340\) | −164.762 | + | 329.296i | −0.484595 | + | 0.968517i | ||||
\(341\) | −144.828 | − | 144.828i | −0.424717 | − | 0.424717i | ||||
\(342\) | 33.0993 | + | 309.721i | 0.0967817 | + | 0.905616i | ||||
\(343\) | 340.514i | 0.992752i | ||||||||
\(344\) | 98.4942 | + | 107.005i | 0.286320 | + | 0.311061i | ||||
\(345\) | −447.549 | + | 171.307i | −1.29724 | + | 0.496543i | ||||
\(346\) | 32.5929 | − | 45.2070i | 0.0941993 | − | 0.130656i | ||||
\(347\) | −75.0550 | + | 280.109i | −0.216297 | + | 0.807231i | 0.769409 | + | 0.638756i | \(0.220551\pi\) |
−0.985706 | + | 0.168475i | \(0.946116\pi\) | |||||||
\(348\) | −311.397 | + | 51.3516i | −0.894818 | + | 0.147562i | ||||
\(349\) | 359.896 | − | 96.4340i | 1.03122 | − | 0.276315i | 0.296751 | − | 0.954955i | \(-0.404097\pi\) |
0.734471 | + | 0.678640i | \(0.237430\pi\) | |||||||
\(350\) | 149.653 | − | 394.161i | 0.427580 | − | 1.12617i | ||||
\(351\) | −26.7504 | − | 540.059i | −0.0762121 | − | 1.53863i | ||||
\(352\) | −266.935 | − | 443.422i | −0.758339 | − | 1.25972i | ||||
\(353\) | −364.255 | − | 210.302i | −1.03188 | − | 0.595758i | −0.114359 | − | 0.993439i | \(-0.536481\pi\) |
−0.917523 | + | 0.397682i | \(0.869815\pi\) | |||||||
\(354\) | 340.745 | − | 197.958i | 0.962558 | − | 0.559204i | ||||
\(355\) | 85.0712 | − | 317.490i | 0.239637 | − | 0.894339i | ||||
\(356\) | 82.2231 | − | 401.235i | 0.230964 | − | 1.12706i | ||||
\(357\) | −55.6996 | + | 124.782i | −0.156021 | + | 0.349530i | ||||
\(358\) | −109.399 | − | 11.0941i | −0.305585 | − | 0.0309890i | ||||
\(359\) | 626.317 | 1.74462 | 0.872308 | − | 0.488956i | \(-0.162622\pi\) | ||||
0.872308 | + | 0.488956i | \(0.162622\pi\) | |||||||
\(360\) | −257.717 | − | 565.013i | −0.715880 | − | 1.56948i | ||||
\(361\) | − | 61.5478i | − | 0.170492i | ||||||
\(362\) | 490.599 | + | 49.7511i | 1.35525 | + | 0.137434i | ||||
\(363\) | −341.479 | + | 247.601i | −0.940714 | + | 0.682096i | ||||
\(364\) | 188.297 | + | 285.361i | 0.517299 | + | 0.783959i | ||||
\(365\) | 1064.92 | + | 285.343i | 2.91758 | + | 0.781762i | ||||
\(366\) | −64.2327 | − | 36.8539i | −0.175499 | − | 0.100694i | ||||
\(367\) | −112.057 | + | 194.088i | −0.305331 | + | 0.528849i | −0.977335 | − | 0.211699i | \(-0.932101\pi\) |
0.672004 | + | 0.740548i | \(0.265434\pi\) | |||||||
\(368\) | −35.2804 | − | 294.211i | −0.0958707 | − | 0.799487i | ||||
\(369\) | −89.3083 | − | 99.5691i | −0.242028 | − | 0.269835i | ||||
\(370\) | 156.257 | − | 411.556i | 0.422317 | − | 1.11231i | ||||
\(371\) | 59.4039 | + | 221.699i | 0.160118 | + | 0.597570i | ||||
\(372\) | 138.427 | − | 62.6892i | 0.372117 | − | 0.168519i | ||||
\(373\) | 306.789 | + | 82.2039i | 0.822491 | + | 0.220386i | 0.645435 | − | 0.763815i | \(-0.276676\pi\) |
0.177056 | + | 0.984201i | \(0.443343\pi\) | |||||||
\(374\) | −201.905 | + | 280.045i | −0.539852 | + | 0.748785i | ||||
\(375\) | 397.698 | − | 490.158i | 1.06053 | − | 1.30709i | ||||
\(376\) | −149.131 | − | 6.17615i | −0.396624 | − | 0.0164259i | ||||
\(377\) | 526.706 | 1.39710 | ||||||||
\(378\) | −104.791 | − | 205.264i | −0.277226 | − | 0.543027i | ||||
\(379\) | −275.758 | + | 275.758i | −0.727594 | + | 0.727594i | −0.970140 | − | 0.242546i | \(-0.922017\pi\) |
0.242546 | + | 0.970140i | \(0.422017\pi\) | |||||||
\(380\) | −188.638 | − | 566.440i | −0.496416 | − | 1.49063i | ||||
\(381\) | −227.733 | + | 23.7156i | −0.597724 | + | 0.0622456i | ||||
\(382\) | 6.85400 | + | 42.2735i | 0.0179424 | + | 0.110664i | ||||
\(383\) | 153.374 | − | 88.5508i | 0.400456 | − | 0.231203i | −0.286225 | − | 0.958162i | \(-0.592400\pi\) |
0.686681 | + | 0.726959i | \(0.259067\pi\) | |||||||
\(384\) | 377.677 | − | 69.3965i | 0.983535 | − | 0.180720i | ||||
\(385\) | 297.694 | − | 515.621i | 0.773231 | − | 1.33928i | ||||
\(386\) | 88.1484 | − | 232.168i | 0.228364 | − | 0.601472i | ||||
\(387\) | 74.0002 | + | 145.923i | 0.191215 | + | 0.377061i | ||||
\(388\) | 245.214 | + | 217.566i | 0.631994 | + | 0.560736i | ||||
\(389\) | −239.507 | + | 64.1757i | −0.615699 | + | 0.164976i | −0.553172 | − | 0.833067i | \(-0.686583\pi\) |
−0.0625273 | + | 0.998043i | \(0.519916\pi\) | |||||||
\(390\) | 270.944 | + | 1000.36i | 0.694727 | + | 2.56503i | ||||
\(391\) | −171.176 | + | 98.8286i | −0.437791 | + | 0.252759i | ||||
\(392\) | −208.007 | − | 131.861i | −0.530631 | − | 0.336379i | ||||
\(393\) | 81.0338 | + | 12.9139i | 0.206193 | + | 0.0328598i | ||||
\(394\) | 66.9521 | − | 660.220i | 0.169929 | − | 1.67568i | ||||
\(395\) | −92.0801 | − | 92.0801i | −0.233114 | − | 0.233114i | ||||
\(396\) | −153.737 | − | 561.603i | −0.388224 | − | 1.41819i | ||||
\(397\) | 264.780 | + | 264.780i | 0.666953 | + | 0.666953i | 0.957009 | − | 0.290057i | \(-0.0936742\pi\) |
−0.290057 | + | 0.957009i | \(0.593674\pi\) | |||||||
\(398\) | −314.560 | + | 256.636i | −0.790352 | + | 0.644813i | ||||
\(399\) | −79.2035 | − | 206.923i | −0.198505 | − | 0.518604i | ||||
\(400\) | 473.829 | + | 632.505i | 1.18457 | + | 1.58126i | ||||
\(401\) | 424.888 | − | 245.309i | 1.05957 | − | 0.611744i | 0.134258 | − | 0.990946i | \(-0.457135\pi\) |
0.925314 | + | 0.379202i | \(0.123802\pi\) | |||||||
\(402\) | 162.530 | − | 94.4228i | 0.404303 | − | 0.234883i | ||||
\(403\) | −244.965 | + | 65.6381i | −0.607853 | + | 0.162874i | ||||
\(404\) | −23.6043 | − | 395.094i | −0.0584266 | − | 0.977955i | ||||
\(405\) | −106.652 | − | 690.452i | −0.263338 | − | 1.70482i | ||||
\(406\) | 204.749 | − | 92.0587i | 0.504308 | − | 0.226746i | ||||
\(407\) | 206.377 | − | 357.455i | 0.507068 | − | 0.878267i | ||||
\(408\) | −141.650 | − | 213.413i | −0.347182 | − | 0.523071i | ||||
\(409\) | 472.092 | − | 272.563i | 1.15426 | − | 0.666412i | 0.204338 | − | 0.978900i | \(-0.434496\pi\) |
0.949922 | + | 0.312488i | \(0.101162\pi\) | |||||||
\(410\) | 207.954 | + | 149.929i | 0.507206 | + | 0.365681i | ||||
\(411\) | −253.305 | + | 567.471i | −0.616313 | + | 1.38071i | ||||
\(412\) | −250.462 | − | 752.084i | −0.607918 | − | 1.82545i | ||||
\(413\) | −198.210 | + | 198.210i | −0.479927 | + | 0.479927i | ||||
\(414\) | 51.5744 | − | 329.345i | 0.124576 | − | 0.795520i | ||||
\(415\) | −979.148 | −2.35939 | ||||||||
\(416\) | −640.747 | + | 11.7154i | −1.54026 | + | 0.0281621i | ||||
\(417\) | −107.373 | − | 17.1115i | −0.257490 | − | 0.0410348i | ||||
\(418\) | −89.5888 | − | 552.558i | −0.214327 | − | 1.32191i | ||||
\(419\) | −746.051 | − | 199.904i | −1.78055 | − | 0.477097i | −0.789867 | − | 0.613278i | \(-0.789850\pi\) |
−0.990684 | + | 0.136181i | \(0.956517\pi\) | |||||||
\(420\) | 280.170 | + | 341.519i | 0.667072 | + | 0.813141i | ||||
\(421\) | 76.7375 | + | 286.388i | 0.182274 | + | 0.680257i | 0.995198 | + | 0.0978865i | \(0.0312082\pi\) |
−0.812923 | + | 0.582371i | \(0.802125\pi\) | |||||||
\(422\) | −356.714 | + | 160.385i | −0.845294 | + | 0.380059i | ||||
\(423\) | −159.598 | − | 52.1941i | −0.377300 | − | 0.123390i | ||||
\(424\) | −410.602 | − | 128.451i | −0.968401 | − | 0.302950i | ||||
\(425\) | 263.582 | − | 456.537i | 0.620193 | − | 1.07421i | ||||
\(426\) | 162.115 | + | 161.242i | 0.380552 | + | 0.378503i | ||||
\(427\) | 50.8811 | + | 13.6335i | 0.119159 | + | 0.0319287i | ||||
\(428\) | 235.855 | − | 155.630i | 0.551063 | − | 0.363621i | ||||
\(429\) | 100.650 | + | 966.511i | 0.234616 | + | 2.25294i | ||||
\(430\) | −198.244 | − | 242.989i | −0.461033 | − | 0.565092i | ||||
\(431\) | 629.535i | 1.46064i | 0.683107 | + | 0.730318i | \(0.260628\pi\) | ||||
−0.683107 | + | 0.730318i | \(0.739372\pi\) | |||||||
\(432\) | 430.135 | + | 40.1018i | 0.995682 | + | 0.0928282i | ||||
\(433\) | −848.660 | −1.95995 | −0.979977 | − | 0.199112i | \(-0.936194\pi\) | ||||
−0.979977 | + | 0.199112i | \(0.936194\pi\) | |||||||
\(434\) | −83.7540 | + | 68.3312i | −0.192981 | + | 0.157445i | ||||
\(435\) | 676.872 | − | 70.4880i | 1.55603 | − | 0.162041i | ||||
\(436\) | 403.582 | − | 266.305i | 0.925647 | − | 0.610792i | ||||
\(437\) | 82.9468 | − | 309.562i | 0.189810 | − | 0.708379i | ||||
\(438\) | −540.833 | + | 543.762i | −1.23478 | + | 1.24147i | ||||
\(439\) | −395.202 | − | 228.170i | −0.900233 | − | 0.519750i | −0.0229572 | − | 0.999736i | \(-0.507308\pi\) |
−0.877276 | + | 0.479987i | \(0.840641\pi\) | |||||||
\(440\) | 517.545 | + | 988.775i | 1.17624 | + | 2.24722i | ||||
\(441\) | −184.999 | − | 206.254i | −0.419500 | − | 0.467697i | ||||
\(442\) | 175.297 | + | 389.881i | 0.396600 | + | 0.882084i | ||||
\(443\) | −64.7626 | + | 17.3531i | −0.146191 | + | 0.0391718i | −0.331172 | − | 0.943570i | \(-0.607444\pi\) |
0.184981 | + | 0.982742i | \(0.440778\pi\) | |||||||
\(444\) | 194.228 | + | 236.759i | 0.437451 | + | 0.533240i | ||||
\(445\) | −228.579 | + | 853.068i | −0.513660 | + | 1.91701i | ||||
\(446\) | −390.528 | + | 63.3181i | −0.875623 | + | 0.141969i | ||||
\(447\) | 44.7743 | − | 280.955i | 0.100166 | − | 0.628535i | ||||
\(448\) | −247.033 | + | 116.545i | −0.551413 | + | 0.260145i | ||||
\(449\) | 692.689i | 1.54274i | 0.636388 | + | 0.771369i | \(0.280428\pi\) | ||||
−0.636388 | + | 0.771369i | \(0.719572\pi\) | |||||||
\(450\) | 320.069 | + | 829.479i | 0.711263 | + | 1.84329i | ||||
\(451\) | 169.968 | + | 169.968i | 0.376868 | + | 0.376868i | ||||
\(452\) | 25.2145 | + | 75.7138i | 0.0557843 | + | 0.167508i | ||||
\(453\) | −271.358 | − | 121.127i | −0.599024 | − | 0.267389i | ||||
\(454\) | 304.450 | − | 422.278i | 0.670596 | − | 0.930129i | ||||
\(455\) | −368.605 | − | 638.442i | −0.810121 | − | 1.40317i | ||||
\(456\) | 407.081 | + | 82.2763i | 0.892722 | + | 0.180431i | ||||
\(457\) | −17.1245 | − | 9.88683i | −0.0374715 | − | 0.0216342i | 0.481147 | − | 0.876640i | \(-0.340220\pi\) |
−0.518619 | + | 0.855006i | \(0.673554\pi\) | |||||||
\(458\) | −92.3771 | − | 205.457i | −0.201697 | − | 0.448597i | ||||
\(459\) | −88.2606 | − | 274.313i | −0.192289 | − | 0.597631i | ||||
\(460\) | 38.1053 | + | 637.815i | 0.0828377 | + | 1.38655i | ||||
\(461\) | −117.395 | − | 438.124i | −0.254653 | − | 0.950376i | −0.968283 | − | 0.249854i | \(-0.919617\pi\) |
0.713631 | − | 0.700522i | \(-0.247049\pi\) | |||||||
\(462\) | 208.055 | + | 358.125i | 0.450335 | + | 0.775162i | ||||
\(463\) | 250.824 | + | 434.441i | 0.541737 | + | 0.938316i | 0.998804 | + | 0.0488843i | \(0.0155666\pi\) |
−0.457067 | + | 0.889432i | \(0.651100\pi\) | |||||||
\(464\) | −59.7426 | + | 416.541i | −0.128756 | + | 0.897717i | ||||
\(465\) | −306.021 | + | 117.135i | −0.658109 | + | 0.251903i | ||||
\(466\) | 355.541 | + | 435.789i | 0.762963 | + | 0.935169i | ||||
\(467\) | −233.073 | + | 233.073i | −0.499086 | + | 0.499086i | −0.911153 | − | 0.412067i | \(-0.864807\pi\) |
0.412067 | + | 0.911153i | \(0.364807\pi\) | |||||||
\(468\) | −697.393 | − | 182.835i | −1.49016 | − | 0.390672i | ||||
\(469\) | −94.5428 | + | 94.5428i | −0.201584 | + | 0.201584i | ||||
\(470\) | 320.204 | + | 32.4715i | 0.681284 | + | 0.0690882i | ||||
\(471\) | −16.7289 | + | 104.973i | −0.0355179 | + | 0.222872i | ||||
\(472\) | −114.875 | − | 512.722i | −0.243378 | − | 1.08628i | ||||
\(473\) | −147.016 | − | 254.640i | −0.310817 | − | 0.538350i | ||||
\(474\) | 87.4362 | − | 23.6817i | 0.184465 | − | 0.0499614i | ||||
\(475\) | 221.224 | + | 825.620i | 0.465735 | + | 1.73815i | ||||
\(476\) | 136.288 | + | 120.922i | 0.286320 | + | 0.254037i | ||||
\(477\) | −405.415 | − | 264.383i | −0.849926 | − | 0.554261i | ||||
\(478\) | 513.708 | + | 195.042i | 1.07470 | + | 0.408038i | ||||
\(479\) | −90.3640 | − | 52.1717i | −0.188651 | − | 0.108918i | 0.402700 | − | 0.915332i | \(-0.368072\pi\) |
−0.591351 | + | 0.806414i | \(0.701405\pi\) | |||||||
\(480\) | −821.859 | + | 100.805i | −1.71221 | + | 0.210011i | ||||
\(481\) | −255.536 | − | 442.601i | −0.531259 | − | 0.920168i | ||||
\(482\) | 232.324 | − | 37.6677i | 0.481999 | − | 0.0781488i | ||||
\(483\) | 24.5607 | + | 235.848i | 0.0508503 | + | 0.488298i | ||||
\(484\) | 177.697 | + | 533.588i | 0.367143 | + | 1.10245i | ||||
\(485\) | −499.835 | − | 499.835i | −1.03059 | − | 1.03059i | ||||
\(486\) | 453.524 | + | 174.676i | 0.933177 | + | 0.359417i | ||||
\(487\) | 29.0400i | 0.0596304i | 0.999555 | + | 0.0298152i | \(0.00949188\pi\) | ||||
−0.999555 | + | 0.0298152i | \(0.990508\pi\) | |||||||
\(488\) | −72.6484 | + | 66.8703i | −0.148870 | + | 0.137029i | ||||
\(489\) | −261.610 | − | 212.262i | −0.534990 | − | 0.434074i | ||||
\(490\) | 430.771 | + | 310.573i | 0.879124 | + | 0.633823i | ||||
\(491\) | 205.184 | − | 765.757i | 0.417890 | − | 1.55959i | −0.361086 | − | 0.932533i | \(-0.617594\pi\) |
0.778976 | − | 0.627054i | \(-0.215739\pi\) | |||||||
\(492\) | −162.455 | + | 73.5708i | −0.330194 | + | 0.149534i | ||||
\(493\) | 271.129 | − | 72.6488i | 0.549957 | − | 0.147361i | ||||
\(494\) | −647.979 | − | 246.021i | −1.31170 | − | 0.498019i | ||||
\(495\) | 258.692 | + | 1228.60i | 0.522611 | + | 2.48202i | ||||
\(496\) | −24.1237 | − | 201.173i | −0.0486365 | − | 0.405591i | ||||
\(497\) | −140.852 | − | 81.3207i | −0.283404 | − | 0.163623i | ||||
\(498\) | 338.972 | − | 590.795i | 0.680666 | − | 1.18634i | ||||
\(499\) | 192.975 | − | 720.192i | 0.386723 | − | 1.44327i | −0.448709 | − | 0.893678i | \(-0.648116\pi\) |
0.835432 | − | 0.549593i | \(-0.185217\pi\) | |||||||
\(500\) | −463.521 | − | 702.459i | −0.927041 | − | 1.40492i | ||||
\(501\) | 523.711 | + | 722.278i | 1.04533 | + | 1.44167i | ||||
\(502\) | 46.4905 | − | 458.446i | 0.0926106 | − | 0.913239i | ||||
\(503\) | 22.4731 | 0.0446781 | 0.0223390 | − | 0.999750i | \(-0.492889\pi\) | ||||
0.0223390 | + | 0.999750i | \(0.492889\pi\) | |||||||
\(504\) | −303.057 | + | 50.8174i | −0.601304 | + | 0.100828i | ||||
\(505\) | 853.458i | 1.69002i | ||||||||
\(506\) | −60.4425 | + | 596.028i | −0.119452 | + | 1.17792i | ||||
\(507\) | 635.745 | + | 283.780i | 1.25393 | + | 0.559725i | ||||
\(508\) | −61.2871 | + | 299.071i | −0.120644 | + | 0.588722i | ||||
\(509\) | −810.744 | − | 217.238i | −1.59282 | − | 0.426794i | −0.649954 | − | 0.759974i | \(-0.725212\pi\) |
−0.942863 | + | 0.333180i | \(0.891878\pi\) | |||||||
\(510\) | 277.452 | + | 477.578i | 0.544023 | + | 0.936427i | ||||
\(511\) | 272.763 | − | 472.440i | 0.533784 | − | 0.924540i | ||||
\(512\) | 63.4128 | − | 508.058i | 0.123853 | − | 0.992301i | ||||
\(513\) | 415.692 | + | 213.309i | 0.810316 | + | 0.415808i | ||||
\(514\) | −277.061 | − | 105.193i | −0.539029 | − | 0.204656i | ||||
\(515\) | 442.394 | + | 1651.04i | 0.859018 | + | 3.20590i | ||||
\(516\) | 215.244 | − | 35.4954i | 0.417140 | − | 0.0687895i | ||||
\(517\) | 291.482 | + | 78.1024i | 0.563795 | + | 0.151068i | ||||
\(518\) | −176.694 | − | 127.391i | −0.341108 | − | 0.245929i | ||||
\(519\) | −29.8838 | − | 78.0731i | −0.0575796 | − | 0.150430i | ||||
\(520\) | 1380.69 | + | 57.1803i | 2.65517 | + | 0.109962i | ||||
\(521\) | −860.751 | −1.65211 | −0.826057 | − | 0.563587i | \(-0.809421\pi\) | ||||
−0.826057 | + | 0.563587i | \(0.809421\pi\) | |||||||
\(522\) | −191.796 | + | 432.811i | −0.367425 | + | 0.829140i | ||||
\(523\) | 590.670 | − | 590.670i | 1.12939 | − | 1.12939i | 0.139112 | − | 0.990277i | \(-0.455575\pi\) |
0.990277 | − | 0.139112i | \(-0.0444248\pi\) | |||||||
\(524\) | 48.9562 | − | 97.8443i | 0.0934279 | − | 0.186726i | ||||
\(525\) | −371.239 | − | 511.996i | −0.707122 | − | 0.975230i | ||||
\(526\) | 460.187 | − | 74.6124i | 0.874881 | − | 0.141849i | ||||
\(527\) | −117.045 | + | 67.5761i | −0.222097 | + | 0.128228i | ||||
\(528\) | −775.773 | − | 30.0298i | −1.46927 | − | 0.0568747i | ||||
\(529\) | 93.0058 | − | 161.091i | 0.175814 | − | 0.304519i | ||||
\(530\) | 867.286 | + | 329.287i | 1.63639 | + | 0.621295i | ||||
\(531\) | 32.0650 | − | 590.242i | 0.0603860 | − | 1.11157i | ||||
\(532\) | −294.892 | + | 17.6179i | −0.554309 | + | 0.0331164i | ||||
\(533\) | 287.485 | − | 77.0315i | 0.539372 | − | 0.144524i | ||||
\(534\) | −435.589 | − | 433.243i | −0.815710 | − | 0.811316i | ||||
\(535\) | −527.681 | + | 304.657i | −0.986320 | + | 0.569452i | ||||
\(536\) | −54.7933 | − | 244.560i | −0.102226 | − | 0.456268i | ||||
\(537\) | −103.923 | + | 128.084i | −0.193525 | + | 0.238517i | ||||
\(538\) | −296.717 | − | 30.0897i | −0.551519 | − | 0.0559289i | ||||
\(539\) | 352.082 | + | 352.082i | 0.653214 | + | 0.653214i | ||||
\(540\) | −920.690 | − | 141.631i | −1.70498 | − | 0.262279i | ||||
\(541\) | 709.094 | + | 709.094i | 1.31071 | + | 1.31071i | 0.920892 | + | 0.389817i | \(0.127462\pi\) |
0.389817 | + | 0.920892i | \(0.372538\pi\) | |||||||
\(542\) | −120.389 | − | 147.561i | −0.222119 | − | 0.272253i | ||||
\(543\) | 466.041 | − | 574.389i | 0.858270 | − | 1.05781i | ||||
\(544\) | −328.217 | + | 94.4092i | −0.603340 | + | 0.173546i | ||||
\(545\) | −902.939 | + | 521.312i | −1.65677 | + | 0.956536i | ||||
\(546\) | 512.829 | − | 1.38486i | 0.939247 | − | 0.00253638i | ||||
\(547\) | −376.806 | + | 100.965i | −0.688860 | + | 0.184579i | −0.586235 | − | 0.810141i | \(-0.699391\pi\) |
−0.102624 | + | 0.994720i | \(0.532724\pi\) | |||||||
\(548\) | 619.797 | + | 549.914i | 1.13102 | + | 1.00349i | ||||
\(549\) | −99.0706 | + | 50.2406i | −0.180456 | + | 0.0915130i | ||||
\(550\) | −655.215 | − | 1457.27i | −1.19130 | − | 2.64959i | ||||
\(551\) | −227.558 | + | 394.143i | −0.412992 | + | 0.715323i | ||||
\(552\) | −398.034 | − | 197.813i | −0.721076 | − | 0.358358i | ||||
\(553\) | −55.8028 | + | 32.2178i | −0.100909 | + | 0.0582600i | ||||
\(554\) | 217.020 | − | 301.011i | 0.391733 | − | 0.543341i | ||||
\(555\) | −387.622 | − | 534.590i | −0.698418 | − | 0.963225i | ||||
\(556\) | −64.8691 | + | 129.648i | −0.116671 | + | 0.233180i | ||||
\(557\) | 121.809 | − | 121.809i | 0.218688 | − | 0.218688i | −0.589257 | − | 0.807946i | \(-0.700580\pi\) |
0.807946 | + | 0.589257i | \(0.200580\pi\) | |||||||
\(558\) | 35.2651 | − | 225.197i | 0.0631990 | − | 0.403578i | ||||
\(559\) | −364.071 | −0.651290 | ||||||||
\(560\) | 546.716 | − | 219.091i | 0.976278 | − | 0.391234i | ||||
\(561\) | 185.122 | + | 483.642i | 0.329986 | + | 0.862106i | ||||
\(562\) | −480.554 | + | 77.9146i | −0.855079 | + | 0.138638i | ||||
\(563\) | −701.738 | − | 188.030i | −1.24643 | − | 0.333979i | −0.425472 | − | 0.904972i | \(-0.639892\pi\) |
−0.820955 | + | 0.570993i | \(0.806558\pi\) | |||||||
\(564\) | −130.444 | + | 181.962i | −0.231284 | + | 0.322628i | ||||
\(565\) | −44.5367 | − | 166.213i | −0.0788261 | − | 0.294183i | ||||
\(566\) | −87.5742 | − | 194.775i | −0.154725 | − | 0.344126i | ||||
\(567\) | −343.665 | − | 37.4498i | −0.606110 | − | 0.0660490i | ||||
\(568\) | 270.102 | − | 141.377i | 0.475533 | − | 0.248904i | ||||
\(569\) | −114.358 | + | 198.073i | −0.200980 | + | 0.348108i | −0.948845 | − | 0.315744i | \(-0.897746\pi\) |
0.747864 | + | 0.663852i | \(0.231079\pi\) | |||||||
\(570\) | −865.645 | − | 229.445i | −1.51868 | − | 0.402536i | ||||
\(571\) | −277.397 | − | 74.3283i | −0.485809 | − | 0.130172i | 0.00759710 | − | 0.999971i | \(-0.497582\pi\) |
−0.493406 | + | 0.869799i | \(0.664248\pi\) | |||||||
\(572\) | 1269.27 | + | 260.106i | 2.21901 | + | 0.454731i | ||||
\(573\) | 58.6596 | + | 26.1841i | 0.102373 | + | 0.0456966i | ||||
\(574\) | 98.2919 | − | 80.1920i | 0.171240 | − | 0.139707i | ||||
\(575\) | − | 914.771i | − | 1.59091i | ||||||
\(576\) | 223.696 | − | 530.788i | 0.388361 | − | 0.921507i | ||||
\(577\) | 1015.70 | 1.76031 | 0.880156 | − | 0.474685i | \(-0.157438\pi\) | ||||
0.880156 | + | 0.474685i | \(0.157438\pi\) | |||||||
\(578\) | −221.374 | − | 271.340i | −0.383000 | − | 0.469446i | ||||
\(579\) | −218.667 | − | 301.575i | −0.377663 | − | 0.520855i | ||||
\(580\) | 182.159 | − | 888.904i | 0.314067 | − | 1.53259i | ||||
\(581\) | −125.398 | + | 467.990i | −0.215831 | + | 0.805491i | ||||
\(582\) | 474.626 | − | 128.550i | 0.815509 | − | 0.220877i | ||||
\(583\) | 753.278 | + | 434.905i | 1.29207 | + | 0.745978i | ||||
\(584\) | 474.203 | + | 905.969i | 0.811991 | + | 1.55132i | ||||
\(585\) | 1477.60 | + | 483.226i | 2.52581 | + | 0.826027i | ||||
\(586\) | 462.752 | − | 208.061i | 0.789678 | − | 0.355053i | ||||
\(587\) | 19.9763 | − | 5.35264i | 0.0340312 | − | 0.00911864i | −0.241763 | − | 0.970335i | \(-0.577726\pi\) |
0.275794 | + | 0.961217i | \(0.411059\pi\) | |||||||
\(588\) | −336.521 | + | 152.400i | −0.572315 | + | 0.259183i | ||||
\(589\) | 56.7166 | − | 211.669i | 0.0962931 | − | 0.359371i | ||||
\(590\) | 181.329 | + | 1118.38i | 0.307337 | + | 1.89557i | ||||
\(591\) | −772.979 | − | 627.170i | −1.30792 | − | 1.06120i | ||||
\(592\) | 379.011 | − | 151.885i | 0.640222 | − | 0.256563i | ||||
\(593\) | − | 938.907i | − | 1.58332i | −0.610964 | − | 0.791659i | \(-0.709218\pi\) | ||
0.610964 | − | 0.791659i | \(-0.290782\pi\) | |||||||
\(594\) | −830.864 | − | 269.240i | −1.39876 | − | 0.453266i | ||||
\(595\) | −277.805 | − | 277.805i | −0.466899 | − | 0.466899i | ||||
\(596\) | −339.239 | − | 169.738i | −0.569193 | − | 0.284795i | ||||
\(597\) | 63.0738 | + | 605.676i | 0.105651 | + | 1.01453i | ||||
\(598\) | 601.708 | + | 433.814i | 1.00620 | + | 0.725442i | ||||
\(599\) | 337.675 | + | 584.869i | 0.563730 | + | 0.976410i | 0.997167 | + | 0.0752255i | \(0.0239677\pi\) |
−0.433436 | + | 0.901184i | \(0.642699\pi\) | |||||||
\(600\) | 1183.15 | − | 73.8924i | 1.97191 | − | 0.123154i | ||||
\(601\) | −744.438 | − | 429.801i | −1.23866 | − | 0.715144i | −0.269844 | − | 0.962904i | \(-0.586972\pi\) |
−0.968821 | + | 0.247761i | \(0.920305\pi\) | |||||||
\(602\) | −141.527 | + | 63.6330i | −0.235095 | + | 0.105703i | ||||
\(603\) | 15.2945 | − | 281.535i | 0.0253639 | − | 0.466891i | ||||
\(604\) | −262.962 | + | 296.379i | −0.435368 | + | 0.490694i | ||||
\(605\) | −313.869 | − | 1171.38i | −0.518792 | − | 1.93616i | ||||
\(606\) | −514.957 | − | 295.459i | −0.849764 | − | 0.487556i | ||||
\(607\) | −46.7213 | − | 80.9237i | −0.0769708 | − | 0.133317i | 0.824971 | − | 0.565175i | \(-0.191192\pi\) |
−0.901942 | + | 0.431858i | \(0.857858\pi\) | |||||||
\(608\) | 268.062 | − | 484.543i | 0.440891 | − | 0.796946i | ||||
\(609\) | 52.9955 | − | 332.543i | 0.0870206 | − | 0.546047i | ||||
\(610\) | 164.972 | − | 134.593i | 0.270446 | − | 0.220645i | ||||
\(611\) | 264.207 | − | 264.207i | 0.432417 | − | 0.432417i | ||||
\(612\) | −384.210 | + | 2.07509i | −0.627795 | + | 0.00339067i | ||||
\(613\) | 74.1488 | − | 74.1488i | 0.120960 | − | 0.120960i | −0.644035 | − | 0.764996i | \(-0.722741\pi\) |
0.764996 | + | 0.644035i | \(0.222741\pi\) | |||||||
\(614\) | −17.9437 | + | 176.944i | −0.0292242 | + | 0.288182i | ||||
\(615\) | 359.140 | − | 137.467i | 0.583967 | − | 0.223524i | ||||
\(616\) | 538.873 | − | 120.734i | 0.874793 | − | 0.195996i | ||||
\(617\) | −386.923 | − | 670.170i | −0.627103 | − | 1.08617i | −0.988130 | − | 0.153619i | \(-0.950907\pi\) |
0.361027 | − | 0.932555i | \(-0.382426\pi\) | |||||||
\(618\) | −1149.35 | − | 304.643i | −1.85979 | − | 0.492951i | ||||
\(619\) | 187.068 | + | 698.147i | 0.302210 | + | 1.12786i | 0.935321 | + | 0.353802i | \(0.115111\pi\) |
−0.633111 | + | 0.774061i | \(0.718222\pi\) | |||||||
\(620\) | 26.0553 | + | 436.119i | 0.0420247 | + | 0.703418i | ||||
\(621\) | −370.640 | − | 335.655i | −0.596844 | − | 0.540508i | ||||
\(622\) | −207.468 | + | 546.437i | −0.333551 | + | 0.878517i | ||||
\(623\) | 378.456 | + | 218.501i | 0.607473 | + | 0.350725i | ||||
\(624\) | −512.482 | + | 813.280i | −0.821286 | + | 1.30333i | ||||
\(625\) | 289.953 | + | 502.213i | 0.463924 | + | 0.803540i | ||||
\(626\) | 43.7689 | + | 269.954i | 0.0699183 | + | 0.431236i | ||||
\(627\) | −766.741 | − | 342.254i | −1.22287 | − | 0.545859i | ||||
\(628\) | 126.749 | + | 63.4189i | 0.201830 | + | 0.100985i | ||||
\(629\) | −192.588 | − | 192.588i | −0.306182 | − | 0.306182i | ||||
\(630\) | 658.853 | − | 70.4105i | 1.04580 | − | 0.111763i | ||||
\(631\) | − | 232.499i | − | 0.368461i | −0.982883 | − | 0.184231i | \(-0.941021\pi\) | ||
0.982883 | − | 0.184231i | \(-0.0589793\pi\) | |||||||
\(632\) | 4.99782 | − | 120.679i | 0.00790795 | − | 0.190947i | ||||
\(633\) | −92.3288 | + | 579.356i | −0.145859 | + | 0.915255i | ||||
\(634\) | 154.495 | − | 214.288i | 0.243683 | − | 0.337993i | ||||
\(635\) | 170.377 | − | 635.856i | 0.268310 | − | 1.00135i | ||||
\(636\) | −498.930 | + | 409.304i | −0.784481 | + | 0.643560i | ||||
\(637\) | 595.517 | − | 159.568i | 0.934877 | − | 0.250500i | ||||
\(638\) | 301.979 | − | 795.364i | 0.473322 | − | 1.24665i | ||||
\(639\) | 335.614 | − | 70.6667i | 0.525218 | − | 0.110589i | ||||
\(640\) | −201.828 | + | 1085.42i | −0.315356 | + | 1.69597i | ||||
\(641\) | −154.261 | − | 89.0624i | −0.240656 | − | 0.138943i | 0.374822 | − | 0.927097i | \(-0.377704\pi\) |
−0.615478 | + | 0.788154i | \(0.711037\pi\) | |||||||
\(642\) | −1.14461 | − | 423.860i | −0.00178288 | − | 0.660218i | ||||
\(643\) | 119.295 | − | 445.215i | 0.185529 | − | 0.692402i | −0.808988 | − | 0.587825i | \(-0.799984\pi\) |
0.994517 | − | 0.104577i | \(-0.0333489\pi\) | |||||||
\(644\) | 309.728 | + | 63.4710i | 0.480944 | + | 0.0985575i | ||||
\(645\) | −467.869 | + | 48.7229i | −0.725379 | + | 0.0755393i | ||||
\(646\) | −367.490 | − | 37.2667i | −0.568869 | − | 0.0576884i | ||||
\(647\) | −978.908 | −1.51300 | −0.756498 | − | 0.653996i | \(-0.773091\pi\) | ||||
−0.756498 | + | 0.653996i | \(0.773091\pi\) | |||||||
\(648\) | 404.191 | − | 506.492i | 0.623751 | − | 0.781623i | ||||
\(649\) | 1062.30i | 1.63682i | ||||||||
\(650\) | −1968.30 | − | 199.603i | −3.02815 | − | 0.307081i | ||||
\(651\) | 16.7939 | + | 161.266i | 0.0257970 | + | 0.247720i | ||||
\(652\) | −374.921 | + | 247.393i | −0.575032 | + | 0.379437i | ||||
\(653\) | −123.593 | − | 33.1167i | −0.189270 | − | 0.0507148i | 0.162939 | − | 0.986636i | \(-0.447903\pi\) |
−0.352209 | + | 0.935921i | \(0.614569\pi\) | |||||||
\(654\) | −1.95859 | − | 725.286i | −0.00299479 | − | 1.10900i | ||||
\(655\) | −117.959 | + | 204.310i | −0.180089 | + | 0.311924i | ||||
\(656\) | 28.3111 | + | 236.093i | 0.0431572 | + | 0.359897i | ||||
\(657\) | 237.028 | + | 1125.71i | 0.360773 | + | 1.71341i | ||||
\(658\) | 56.5278 | − | 148.885i | 0.0859085 | − | 0.226269i | ||||
\(659\) | 119.886 | + | 447.422i | 0.181922 | + | 0.678941i | 0.995269 | + | 0.0971622i | \(0.0309766\pi\) |
−0.813347 | + | 0.581779i | \(0.802357\pi\) | |||||||
\(660\) | 1665.96 | + | 164.399i | 2.52418 | + | 0.249089i | ||||
\(661\) | −1025.09 | − | 274.672i | −1.55082 | − | 0.415541i | −0.621076 | − | 0.783750i | \(-0.713304\pi\) |
−0.929743 | + | 0.368210i | \(0.879971\pi\) | |||||||
\(662\) | −246.051 | + | 341.277i | −0.371678 | + | 0.515525i | ||||
\(663\) | 633.224 | + | 100.914i | 0.955090 | + | 0.152207i | ||||
\(664\) | −615.055 | − | 668.200i | −0.926287 | − | 1.00632i | ||||
\(665\) | 637.009 | 0.957908 | ||||||||
\(666\) | 456.750 | − | 48.8121i | 0.685811 | − | 0.0732914i | ||||
\(667\) | 344.417 | − | 344.417i | 0.516367 | − | 0.516367i | ||||
\(668\) | 1128.61 | − | 375.856i | 1.68954 | − | 0.562658i | ||||
\(669\) | −241.892 | + | 541.904i | −0.361573 | + | 0.810022i | ||||
\(670\) | 86.4909 | + | 533.451i | 0.129091 | + | 0.796195i | ||||
\(671\) | 172.882 | − | 99.8132i | 0.257648 | − | 0.148753i | ||||
\(672\) | −57.0733 | + | 405.723i | −0.0849305 | + | 0.603754i | ||||
\(673\) | −477.904 | + | 827.754i | −0.710110 | + | 1.22995i | 0.254705 | + | 0.967019i | \(0.418021\pi\) |
−0.964815 | + | 0.262928i | \(0.915312\pi\) | |||||||
\(674\) | −304.508 | + | 802.024i | −0.451793 | + | 1.18995i | ||||
\(675\) | 1303.69 | + | 281.018i | 1.93139 | + | 0.416323i | ||||
\(676\) | 616.076 | − | 694.366i | 0.911355 | − | 1.02717i | ||||
\(677\) | 903.751 | − | 242.159i | 1.33493 | − | 0.357695i | 0.480382 | − | 0.877060i | \(-0.340498\pi\) |
0.854553 | + | 0.519365i | \(0.173831\pi\) | |||||||
\(678\) | 115.707 | + | 30.6691i | 0.170660 | + | 0.0452346i | ||||
\(679\) | −302.912 | + | 174.886i | −0.446115 | + | 0.257565i | ||||
\(680\) | 718.614 | − | 161.005i | 1.05679 | − | 0.236771i | ||||
\(681\) | −279.145 | − | 729.280i | −0.409904 | − | 1.07090i | ||||
\(682\) | −41.3288 | + | 407.547i | −0.0605995 | + | 0.597576i | ||||
\(683\) | −393.319 | − | 393.319i | −0.575870 | − | 0.575870i | 0.357893 | − | 0.933763i | \(-0.383495\pi\) |
−0.933763 | + | 0.357893i | \(0.883495\pi\) | |||||||
\(684\) | 438.120 | − | 442.878i | 0.640526 | − | 0.647483i | ||||
\(685\) | −1263.37 | − | 1263.37i | −1.84434 | − | 1.84434i | ||||
\(686\) | 527.688 | − | 430.517i | 0.769224 | − | 0.627576i | ||||
\(687\) | −333.693 | − | 53.1788i | −0.485725 | − | 0.0774073i | ||||
\(688\) | 41.2954 | − | 287.922i | 0.0600224 | − | 0.418492i | ||||
\(689\) | 932.708 | − | 538.499i | 1.35371 | − | 0.781567i | ||||
\(690\) | 831.314 | + | 476.971i | 1.20480 | + | 0.691262i | ||||
\(691\) | 358.967 | − | 96.1850i | 0.519489 | − | 0.139197i | 0.0104590 | − | 0.999945i | \(-0.496671\pi\) |
0.509030 | + | 0.860749i | \(0.330004\pi\) | |||||||
\(692\) | −111.264 | + | 6.64732i | −0.160786 | + | 0.00960596i | ||||
\(693\) | 620.346 | + | 33.7004i | 0.895161 | + | 0.0486297i | ||||
\(694\) | 528.972 | − | 237.835i | 0.762208 | − | 0.342702i | ||||
\(695\) | 156.300 | − | 270.720i | 0.224892 | − | 0.389525i | ||||
\(696\) | 473.282 | + | 417.641i | 0.680003 | + | 0.600058i | ||||
\(697\) | 137.362 | − | 79.3059i | 0.197076 | − | 0.113782i | ||||
\(698\) | −604.464 | − | 435.801i | −0.865995 | − | 0.624357i | ||||
\(699\) | 839.099 | − | 87.3819i | 1.20043 | − | 0.125010i | ||||
\(700\) | −800.032 | + | 266.430i | −1.14290 | + | 0.380614i | ||||
\(701\) | 314.121 | − | 314.121i | 0.448105 | − | 0.448105i | −0.446619 | − | 0.894724i | \(-0.647372\pi\) |
0.894724 | + | 0.446619i | \(0.147372\pi\) | |||||||
\(702\) | −803.097 | + | 724.259i | −1.14401 | + | 1.03171i | ||||
\(703\) | 441.607 | 0.628175 | ||||||||
\(704\) | −349.672 | + | 974.290i | −0.496693 | + | 1.38394i | ||||
\(705\) | 304.175 | − | 374.891i | 0.431453 | − | 0.531760i | ||||
\(706\) | 134.631 | + | 830.366i | 0.190696 | + | 1.17616i | ||||
\(707\) | 407.916 | + | 109.301i | 0.576968 | + | 0.154598i | ||||
\(708\) | −737.582 | − | 277.764i | −1.04178 | − | 0.392323i | ||||
\(709\) | 158.573 | + | 591.802i | 0.223657 | + | 0.834699i | 0.982938 | + | 0.183936i | \(0.0588840\pi\) |
−0.759281 | + | 0.650763i | \(0.774449\pi\) | |||||||
\(710\) | −599.565 | + | 269.575i | −0.844458 | + | 0.379683i | ||||
\(711\) | 42.2362 | − | 129.149i | 0.0594039 | − | 0.181644i | ||||
\(712\) | −725.741 | + | 379.868i | −1.01930 | + | 0.533522i | ||||
\(713\) | −117.263 | + | 203.105i | −0.164464 | + | 0.284860i | ||||
\(714\) | 263.794 | − | 71.4475i | 0.369460 | − | 0.100067i | ||||
\(715\) | −2698.61 | − | 723.091i | −3.77428 | − | 1.01132i | ||||
\(716\) | 121.123 | + | 183.561i | 0.169166 | + | 0.256369i | ||||
\(717\) | 667.281 | − | 483.834i | 0.930657 | − | 0.674804i | ||||
\(718\) | −791.863 | − | 970.591i | −1.10287 | − | 1.35180i | ||||
\(719\) | 1339.60i | 1.86314i | 0.363563 | + | 0.931570i | \(0.381560\pi\) | ||||
−0.363563 | + | 0.931570i | \(0.618440\pi\) | |||||||
\(720\) | −549.754 | + | 1113.73i | −0.763547 | + | 1.54685i | ||||
\(721\) | 845.782 | 1.17307 | ||||||||
\(722\) | −95.3793 | + | 77.8158i | −0.132104 | + | 0.107778i | ||||
\(723\) | 143.901 | − | 322.377i | 0.199033 | − | 0.445888i | ||||
\(724\) | −543.174 | − | 823.173i | −0.750240 | − | 1.13698i | ||||
\(725\) | −336.224 | + | 1254.80i | −0.463757 | + | 1.73076i | ||||
\(726\) | 815.439 | + | 216.138i | 1.12319 | + | 0.297711i | ||||
\(727\) | 89.3724 | + | 51.5992i | 0.122933 | + | 0.0709755i | 0.560206 | − | 0.828354i | \(-0.310722\pi\) |
−0.437272 | + | 0.899329i | \(0.644055\pi\) | |||||||
\(728\) | 204.152 | − | 652.586i | 0.280428 | − | 0.896410i | ||||
\(729\) | 592.221 | − | 425.106i | 0.812375 | − | 0.583135i | ||||
\(730\) | −904.199 | − | 2011.04i | −1.23863 | − | 2.75485i | ||||
\(731\) | −187.410 | + | 50.2165i | −0.256375 | + | 0.0686956i | ||||
\(732\) | 24.0987 | + | 146.135i | 0.0329218 | + | 0.199638i | ||||
\(733\) | −95.9769 | + | 358.191i | −0.130937 | + | 0.488664i | −0.999982 | − | 0.00607015i | \(-0.998068\pi\) |
0.869045 | + | 0.494734i | \(0.164734\pi\) | |||||||
\(734\) | 442.448 | − | 71.7363i | 0.602791 | − | 0.0977333i | ||||
\(735\) | 743.946 | − | 284.758i | 1.01217 | − | 0.387426i | ||||
\(736\) | −411.328 | + | 426.649i | −0.558869 | + | 0.579687i | ||||
\(737\) | 506.698i | 0.687514i | ||||||||
\(738\) | −41.3863 | + | 264.286i | −0.0560790 | + | 0.358111i | ||||
\(739\) | 499.501 | + | 499.501i | 0.675915 | + | 0.675915i | 0.959073 | − | 0.283158i | \(-0.0913821\pi\) |
−0.283158 | + | 0.959073i | \(0.591382\pi\) | |||||||
\(740\) | −835.338 | + | 278.187i | −1.12883 | + | 0.375929i | ||||
\(741\) | −841.692 | + | 610.297i | −1.13589 | + | 0.823612i | ||||
\(742\) | 268.456 | − | 372.354i | 0.361801 | − | 0.501825i | ||||
\(743\) | 347.803 | + | 602.412i | 0.468106 | + | 0.810784i | 0.999336 | − | 0.0364442i | \(-0.0116031\pi\) |
−0.531229 | + | 0.847228i | \(0.678270\pi\) | |||||||
\(744\) | −272.164 | − | 135.259i | −0.365812 | − | 0.181800i | ||||
\(745\) | 708.371 | + | 408.978i | 0.950833 | + | 0.548964i | ||||
\(746\) | −260.489 | − | 579.356i | −0.349180 | − | 0.776617i | ||||
\(747\) | −462.100 | − | 911.224i | −0.618607 | − | 1.21985i | ||||
\(748\) | 689.252 | − | 41.1784i | 0.921460 | − | 0.0550513i | ||||
\(749\) | 78.0337 | + | 291.226i | 0.104184 | + | 0.388819i | ||||
\(750\) | −1262.40 | + | 3.40905i | −1.68320 | + | 0.00454540i | ||||
\(751\) | 68.1628 | + | 118.062i | 0.0907628 | + | 0.157206i | 0.907832 | − | 0.419333i | \(-0.137736\pi\) |
−0.817070 | + | 0.576539i | \(0.804403\pi\) | |||||||
\(752\) | 178.977 | + | 238.913i | 0.238002 | + | 0.317704i | ||||
\(753\) | −536.744 | − | 435.497i | −0.712808 | − | 0.578349i | ||||
\(754\) | −665.923 | − | 816.226i | −0.883187 | − | 1.08253i | ||||
\(755\) | 604.128 | − | 604.128i | 0.800170 | − | 0.800170i | ||||
\(756\) | −185.604 | + | 421.912i | −0.245509 | + | 0.558084i | ||||
\(757\) | −490.578 | + | 490.578i | −0.648056 | + | 0.648056i | −0.952523 | − | 0.304467i | \(-0.901522\pi\) |
0.304467 | + | 0.952523i | \(0.401522\pi\) | |||||||
\(758\) | 775.981 | + | 78.6914i | 1.02372 | + | 0.103814i | ||||
\(759\) | 697.824 | + | 566.192i | 0.919399 | + | 0.745971i | ||||
\(760\) | −639.302 | + | 1008.49i | −0.841187 | + | 1.32696i | ||||
\(761\) | 219.368 | + | 379.956i | 0.288263 | + | 0.499286i | 0.973395 | − | 0.229133i | \(-0.0735890\pi\) |
−0.685132 | + | 0.728418i | \(0.740256\pi\) | |||||||
\(762\) | 324.678 | + | 322.929i | 0.426086 | + | 0.423791i | ||||
\(763\) | 133.527 | + | 498.329i | 0.175003 | + | 0.653118i | ||||
\(764\) | 56.8447 | − | 64.0685i | 0.0744041 | − | 0.0838593i | ||||
\(765\) | 827.264 | + | 44.9412i | 1.08139 | + | 0.0587467i | ||||
\(766\) | −331.139 | − | 125.725i | −0.432296 | − | 0.164132i | ||||
\(767\) | 1139.11 | + | 657.668i | 1.48516 | + | 0.857455i | ||||
\(768\) | −585.046 | − | 497.540i | −0.761778 | − | 0.647838i | ||||
\(769\) | −4.71464 | − | 8.16600i | −0.00613087 | − | 0.0106190i | 0.862944 | − | 0.505300i | \(-0.168618\pi\) |
−0.869075 | + | 0.494681i | \(0.835285\pi\) | |||||||
\(770\) | −1175.43 | + | 190.578i | −1.52653 | + | 0.247503i | ||||
\(771\) | −359.888 | + | 260.949i | −0.466781 | + | 0.338455i | ||||
\(772\) | −471.234 | + | 156.932i | −0.610406 | + | 0.203280i | ||||
\(773\) | −99.7597 | − | 99.7597i | −0.129055 | − | 0.129055i | 0.639629 | − | 0.768684i | \(-0.279088\pi\) |
−0.768684 | + | 0.639629i | \(0.779088\pi\) | |||||||
\(774\) | 132.574 | − | 299.169i | 0.171284 | − | 0.386523i | ||||
\(775\) | − | 625.494i | − | 0.807089i | ||||||
\(776\) | 27.1295 | − | 655.075i | 0.0349607 | − | 0.844168i | ||||
\(777\) | −305.153 | + | 116.803i | −0.392732 | + | 0.150325i | ||||
\(778\) | 402.264 | + | 290.021i | 0.517049 | + | 0.372777i | ||||
\(779\) | −66.5614 | + | 248.411i | −0.0854447 | + | 0.318884i | ||||
\(780\) | 1207.68 | − | 1684.65i | 1.54831 | − | 2.15981i | ||||
\(781\) | −595.361 | + | 159.527i | −0.762306 | + | 0.204259i | ||||
\(782\) | 369.573 | + | 140.318i | 0.472600 | + | 0.179434i | ||||
\(783\) | 385.042 | + | 596.651i | 0.491752 | + | 0.762007i | ||||
\(784\) | 58.6455 | + | 489.058i | 0.0748030 | + | 0.623799i | ||||
\(785\) | −264.668 | − | 152.806i | −0.337156 | − | 0.194657i | ||||
\(786\) | −82.4399 | − | 141.904i | −0.104885 | − | 0.180539i | ||||
\(787\) | −381.041 | + | 1422.06i | −0.484169 | + | 1.80694i | 0.0996051 | + | 0.995027i | \(0.468242\pi\) |
−0.583774 | + | 0.811916i | \(0.698425\pi\) | |||||||
\(788\) | −1107.78 | + | 730.972i | −1.40581 | + | 0.927629i | ||||
\(789\) | 285.040 | − | 638.566i | 0.361267 | − | 0.809335i | ||||
\(790\) | −26.2763 | + | 259.113i | −0.0332612 | + | 0.327991i | ||||
\(791\) | −85.1465 | −0.107644 | ||||||||
\(792\) | −675.933 | + | 948.286i | −0.853451 | + | 1.19733i | ||||
\(793\) | − | 247.177i | − | 0.311699i | ||||||
\(794\) | 75.5587 | − | 745.090i | 0.0951621 | − | 0.938401i | ||||
\(795\) | 1126.56 | − | 816.850i | 1.41706 | − | 1.02748i | ||||
\(796\) | 795.406 | + | 162.999i | 0.999254 | + | 0.204772i | ||||
\(797\) | 405.134 | + | 108.555i | 0.508324 | + | 0.136205i | 0.503861 | − | 0.863785i | \(-0.331913\pi\) |
0.00446366 | + | 0.999990i | \(0.498579\pi\) | |||||||
\(798\) | −220.526 | + | 384.356i | −0.276349 | + | 0.481649i | ||||
\(799\) | 99.5617 | − | 172.446i | 0.124608 | − | 0.215827i | ||||
\(800\) | 381.111 | − | 1533.97i | 0.476389 | − | 1.91746i | ||||
\(801\) | −901.766 | + | 189.875i | −1.12580 | + | 0.237047i | ||||
\(802\) | −917.344 | − | 348.292i | −1.14382 | − | 0.434280i | ||||
\(803\) | −535.079 | − | 1996.94i | −0.666350 | − | 2.48685i | ||||
\(804\) | −351.814 | − | 132.489i | −0.437580 | − | 0.164787i | ||||
\(805\) | −658.514 | − | 176.448i | −0.818030 | − | 0.219191i | ||||
\(806\) | 411.431 | + | 296.630i | 0.510460 | + | 0.368027i | ||||
\(807\) | −281.864 | + | 347.393i | −0.349274 | + | 0.430475i | ||||
\(808\) | −582.425 | + | 536.102i | −0.720824 | + | 0.663493i | ||||
\(809\) | 550.664 | 0.680673 | 0.340336 | − | 0.940304i | \(-0.389459\pi\) | ||||
0.340336 | + | 0.940304i | \(0.389459\pi\) | |||||||
\(810\) | −935.137 | + | 1038.22i | −1.15449 | + | 1.28176i | ||||
\(811\) | 722.538 | − | 722.538i | 0.890923 | − | 0.890923i | −0.103687 | − | 0.994610i | \(-0.533064\pi\) |
0.994610 | + | 0.103687i | \(0.0330640\pi\) | |||||||
\(812\) | −401.529 | − | 200.904i | −0.494494 | − | 0.247419i | ||||
\(813\) | −284.125 | + | 29.5881i | −0.349477 | + | 0.0363937i | ||||
\(814\) | −814.866 | + | 132.118i | −1.00106 | + | 0.162307i | ||||
\(815\) | 838.815 | − | 484.290i | 1.02922 | − | 0.594221i | ||||
\(816\) | −151.631 | + | 489.333i | −0.185822 | + | 0.599673i | ||||
\(817\) | 157.293 | − | 272.440i | 0.192526 | − | 0.333464i | ||||
\(818\) | −1019.26 | − | 386.987i | −1.24604 | − | 0.473089i | ||||
\(819\) | 420.194 | − | 644.342i | 0.513057 | − | 0.786742i | ||||
\(820\) | −30.5780 | − | 511.820i | −0.0372902 | − | 0.624171i | ||||
\(821\) | −562.850 | + | 150.815i | −0.685566 | + | 0.183697i | −0.584757 | − | 0.811209i | \(-0.698810\pi\) |
−0.100810 | + | 0.994906i | \(0.532143\pi\) | |||||||
\(822\) | 1199.65 | − | 324.921i | 1.45943 | − | 0.395281i | ||||
\(823\) | 1297.92 | − | 749.355i | 1.57706 | − | 0.910516i | 0.581793 | − | 0.813337i | \(-0.302351\pi\) |
0.995267 | − | 0.0971789i | \(-0.0309819\pi\) | |||||||
\(824\) | −848.827 | + | 1339.01i | −1.03013 | + | 1.62501i | ||||
\(825\) | −2366.83 | − | 377.188i | −2.86888 | − | 0.457198i | ||||
\(826\) | 557.762 | + | 56.5620i | 0.675257 | + | 0.0684770i | ||||
\(827\) | 724.214 | + | 724.214i | 0.875712 | + | 0.875712i | 0.993088 | − | 0.117375i | \(-0.0374481\pi\) |
−0.117375 | + | 0.993088i | \(0.537448\pi\) | |||||||
\(828\) | −575.586 | + | 336.473i | −0.695152 | + | 0.406368i | ||||
\(829\) | −191.121 | − | 191.121i | −0.230544 | − | 0.230544i | 0.582375 | − | 0.812920i | \(-0.302123\pi\) |
−0.812920 | + | 0.582375i | \(0.802123\pi\) | |||||||
\(830\) | 1237.95 | + | 1517.37i | 1.49151 | + | 1.82815i | ||||
\(831\) | −198.981 | − | 519.849i | −0.239448 | − | 0.625570i | ||||
\(832\) | 828.262 | + | 978.141i | 0.995507 | + | 1.17565i | ||||
\(833\) | 284.541 | − | 164.280i | 0.341586 | − | 0.197214i | ||||
\(834\) | 109.236 | + | 188.028i | 0.130979 | + | 0.225454i | ||||
\(835\) | −2477.63 | + | 663.879i | −2.96722 | + | 0.795064i | ||||
\(836\) | −743.019 | + | 837.441i | −0.888779 | + | 1.00172i | ||||
\(837\) | −253.433 | − | 229.511i | −0.302787 | − | 0.274207i | ||||
\(838\) | 633.457 | + | 1408.88i | 0.755915 | + | 1.68124i | ||||
\(839\) | −316.759 | + | 548.642i | −0.377543 | + | 0.653924i | −0.990704 | − | 0.136034i | \(-0.956564\pi\) |
0.613161 | + | 0.789958i | \(0.289898\pi\) | |||||||
\(840\) | 175.022 | − | 865.962i | 0.208360 | − | 1.03091i | ||||
\(841\) | 129.297 | − | 74.6494i | 0.153741 | − | 0.0887627i | ||||
\(842\) | 346.790 | − | 481.004i | 0.411864 | − | 0.571264i | ||||
\(843\) | −297.655 | + | 666.827i | −0.353090 | + | 0.791017i | ||||
\(844\) | 699.544 | + | 350.016i | 0.828844 | + | 0.414710i | ||||
\(845\) | −1415.37 | + | 1415.37i | −1.67499 | + | 1.67499i | ||||
\(846\) | 120.898 | + | 313.316i | 0.142906 | + | 0.370349i | ||||
\(847\) | −600.064 | −0.708458 | ||||||||
\(848\) | 320.073 | + | 798.704i | 0.377445 | + | 0.941868i | ||||
\(849\) | −316.344 | − | 50.4140i | −0.372607 | − | 0.0593804i | ||||
\(850\) | −1040.74 | + | 168.740i | −1.22440 | + | 0.198517i | ||||
\(851\) | −456.516 | − | 122.323i | −0.536446 | − | 0.143740i | ||||
\(852\) | 44.9087 | − | 455.088i | 0.0527097 | − | 0.534140i | ||||
\(853\) | −77.8998 | − | 290.726i | −0.0913245 | − | 0.340828i | 0.905112 | − | 0.425173i | \(-0.139787\pi\) |
−0.996437 | + | 0.0843454i | \(0.973120\pi\) | |||||||
\(854\) | −43.2021 | − | 96.0865i | −0.0505880 | − | 0.112513i | ||||
\(855\) | −999.987 | + | 896.937i | −1.16958 | + | 1.04905i | ||||
\(856\) | −539.372 | − | 168.734i | −0.630107 | − | 0.197120i | ||||
\(857\) | 26.3700 | − | 45.6742i | 0.0307701 | − | 0.0532955i | −0.850230 | − | 0.526411i | \(-0.823537\pi\) |
0.881000 | + | 0.473116i | \(0.156871\pi\) | |||||||
\(858\) | 1370.53 | − | 1377.95i | 1.59735 | − | 1.60600i | ||||
\(859\) | 1519.02 | + | 407.020i | 1.76836 | + | 0.473830i | 0.988383 | − | 0.151981i | \(-0.0485652\pi\) |
0.779975 | + | 0.625811i | \(0.215232\pi\) | |||||||
\(860\) | −125.912 | + | 614.431i | −0.146410 | + | 0.714454i | ||||
\(861\) | −19.7089 | − | 189.258i | −0.0228908 | − | 0.219812i | ||||
\(862\) | 975.577 | − | 795.930i | 1.13176 | − | 0.923353i | ||||
\(863\) | − | 1189.26i | − | 1.37805i | −0.724738 | − | 0.689025i | \(-0.758039\pi\) | ||
0.724738 | − | 0.689025i | \(-0.241961\pi\) | |||||||
\(864\) | −481.681 | − | 717.272i | −0.557501 | − | 0.830176i | ||||
\(865\) | 240.346 | 0.277857 | ||||||||
\(866\) | 1072.97 | + | 1315.15i | 1.23900 | + | 1.51865i | ||||
\(867\) | −522.457 | + | 54.4075i | −0.602603 | + | 0.0627538i | ||||
\(868\) | 211.783 | + | 43.3996i | 0.243989 | + | 0.0499996i | ||||
\(869\) | −63.2015 | + | 235.871i | −0.0727289 | + | 0.271428i | ||||
\(870\) | −965.014 | − | 959.816i | −1.10921 | − | 1.10324i | ||||
\(871\) | 543.339 | + | 313.697i | 0.623810 | + | 0.360157i | ||||
\(872\) | −922.943 | − | 288.729i | −1.05842 | − | 0.331111i | ||||
\(873\) | 229.269 | − | 701.053i | 0.262622 | − | 0.803039i | ||||
\(874\) | −584.592 | + | 262.843i | −0.668870 | + | 0.300735i | ||||
\(875\) | 867.372 | − | 232.412i | 0.991283 | − | 0.265613i | ||||
\(876\) | 1526.44 | + | 150.631i | 1.74251 | + | 0.171953i | ||||
\(877\) | 103.814 | − | 387.439i | 0.118374 | − | 0.441778i | −0.881143 | − | 0.472850i | \(-0.843225\pi\) |
0.999517 | + | 0.0310718i | \(0.00989206\pi\) | |||||||
\(878\) | 146.070 | + | 900.916i | 0.166366 | + | 1.02610i | ||||
\(879\) | 119.775 | − | 751.577i | 0.136262 | − | 0.855036i | ||||
\(880\) | 877.944 | − | 2052.15i | 0.997664 | − | 2.33199i | ||||
\(881\) | − | 557.459i | − | 0.632757i | −0.948633 | − | 0.316379i | \(-0.897533\pi\) | ||
0.948633 | − | 0.316379i | \(-0.102467\pi\) | |||||||
\(882\) | −85.7305 | + | 547.460i | −0.0972001 | + | 0.620703i | ||||
\(883\) | −6.13732 | − | 6.13732i | −0.00695053 | − | 0.00695053i | 0.703623 | − | 0.710574i | \(-0.251564\pi\) |
−0.710574 | + | 0.703623i | \(0.751564\pi\) | |||||||
\(884\) | 382.560 | − | 764.587i | 0.432760 | − | 0.864917i | ||||
\(885\) | 1551.89 | + | 692.726i | 1.75355 | + | 0.782742i | ||||
\(886\) | 108.772 | + | 78.4215i | 0.122768 | + | 0.0885118i | ||||
\(887\) | 51.9793 | + | 90.0309i | 0.0586013 | + | 0.101500i | 0.893838 | − | 0.448391i | \(-0.148003\pi\) |
−0.835236 | + | 0.549891i | \(0.814669\pi\) | |||||||
\(888\) | 121.334 | − | 600.329i | 0.136638 | − | 0.676046i | ||||
\(889\) | −282.092 | − | 162.866i | −0.317313 | − | 0.183201i | ||||
\(890\) | 1610.98 | − | 724.323i | 1.81009 | − | 0.813846i | ||||
\(891\) | −1021.28 | + | 820.572i | −1.14622 | + | 0.920956i | ||||
\(892\) | 591.873 | + | 525.139i | 0.663535 | + | 0.588720i | ||||
\(893\) | 83.5621 | + | 311.858i | 0.0935746 | + | 0.349225i | ||||
\(894\) | −491.999 | + | 285.830i | −0.550334 | + | 0.319720i | ||||
\(895\) | −237.108 | − | 410.682i | −0.264925 | − | 0.458863i | ||||
\(896\) | 492.935 | + | 235.472i | 0.550151 | + | 0.262804i | ||||
\(897\) | 1039.16 | − | 397.756i | 1.15848 | − | 0.443429i | ||||
\(898\) | 1073.45 | − | 875.778i | 1.19537 | − | 0.975254i | ||||
\(899\) | 235.502 | − | 235.502i | 0.261960 | − | 0.261960i | ||||
\(900\) | 880.759 | − | 1544.73i | 0.978621 | − | 1.71636i | ||||
\(901\) | 405.848 | − | 405.848i | 0.450442 | − | 0.450442i | ||||
\(902\) | 48.5026 | − | 478.288i | 0.0537723 | − | 0.530253i | ||||
\(903\) | −36.6317 | + | 229.861i | −0.0405667 | + | 0.254553i | ||||
\(904\) | 85.4531 | − | 134.801i | 0.0945277 | − | 0.149116i | ||||
\(905\) | 1063.30 | + | 1841.70i | 1.17492 | + | 2.03502i | ||||
\(906\) | 155.373 | + | 573.660i | 0.171494 | + | 0.633179i | ||||
\(907\) | −333.971 | − | 1246.40i | −0.368215 | − | 1.37420i | −0.863010 | − | 0.505187i | \(-0.831424\pi\) |
0.494795 | − | 0.869010i | \(-0.335243\pi\) | |||||||
\(908\) | −1039.32 | + | 62.0926i | −1.14462 | + | 0.0683839i | ||||
\(909\) | −794.254 | + | 402.782i | −0.873767 | + | 0.443104i | ||||
\(910\) | −523.348 | + | 1378.41i | −0.575108 | + | 1.51474i | ||||
\(911\) | −852.908 | − | 492.427i | −0.936233 | − | 0.540535i | −0.0474557 | − | 0.998873i | \(-0.515111\pi\) |
−0.888778 | + | 0.458339i | \(0.848445\pi\) | |||||||
\(912\) | −387.177 | − | 734.869i | −0.424536 | − | 0.805777i | ||||
\(913\) | 918.054 | + | 1590.12i | 1.00554 | + | 1.74164i | ||||
\(914\) | 6.32934 | + | 39.0375i | 0.00692488 | + | 0.0427106i | ||||
\(915\) | −33.0792 | − | 317.649i | −0.0361522 | − | 0.347157i | ||||
\(916\) | −201.599 | + | 402.918i | −0.220086 | + | 0.439867i | ||||
\(917\) | 82.5447 | + | 82.5447i | 0.0900161 | + | 0.0900161i | ||||
\(918\) | −313.507 | + | 483.593i | −0.341511 | + | 0.526790i | ||||
\(919\) | − | 273.336i | − | 0.297428i | −0.988880 | − | 0.148714i | \(-0.952487\pi\) | ||
0.988880 | − | 0.148714i | \(-0.0475133\pi\) | |||||||
\(920\) | 940.231 | − | 865.450i | 1.02199 | − | 0.940707i | ||||
\(921\) | 207.164 | + | 168.086i | 0.224934 | + | 0.182504i | ||||
\(922\) | −530.527 | + | 735.851i | −0.575409 | + | 0.798103i | ||||
\(923\) | −197.526 | + | 737.176i | −0.214004 | + | 0.798674i | ||||
\(924\) | 291.932 | − | 775.201i | 0.315943 | − | 0.838962i | ||||
\(925\) | 1217.55 | − | 326.243i | 1.31628 | − | 0.352695i | ||||
\(926\) | 356.122 | − | 937.967i | 0.384581 | − | 1.01292i | ||||
\(927\) | −1327.72 | + | 1190.90i | −1.43228 | + | 1.28468i | ||||
\(928\) | 721.038 | − | 434.057i | 0.776981 | − | 0.467734i | ||||
\(929\) | −392.453 | − | 226.583i | −0.422447 | − | 0.243900i | 0.273677 | − | 0.961822i | \(-0.411760\pi\) |
−0.696124 | + | 0.717922i | \(0.745093\pi\) | |||||||
\(930\) | 568.428 | + | 326.139i | 0.611213 | + | 0.350687i | ||||
\(931\) | −137.880 | + | 514.575i | −0.148099 | + | 0.552712i | ||||
\(932\) | 225.817 | − | 1101.95i | 0.242293 | − | 1.18235i | ||||
\(933\) | 514.660 | + | 709.795i | 0.551618 | + | 0.760766i | ||||
\(934\) | 655.867 | + | 66.5107i | 0.702213 | + | 0.0712106i | ||||
\(935\) | −1488.88 | −1.59239 | ||||||||
\(936\) | 598.389 | + | 1311.90i | 0.639305 | + | 1.40160i | ||||
\(937\) | − | 1234.45i | − | 1.31744i | −0.752386 | − | 0.658722i | \(-0.771097\pi\) | ||
0.752386 | − | 0.658722i | \(-0.228903\pi\) | |||||||
\(938\) | 266.043 | + | 26.9791i | 0.283628 | + | 0.0287624i | ||||
\(939\) | 374.593 | + | 167.209i | 0.398928 | + | 0.178071i | ||||
\(940\) | −354.518 | − | 537.267i | −0.377147 | − | 0.571561i | ||||
\(941\) | 496.355 | + | 132.998i | 0.527476 | + | 0.141337i | 0.512722 | − | 0.858554i | \(-0.328637\pi\) |
0.0147534 | + | 0.999891i | \(0.495304\pi\) | |||||||
\(942\) | 183.825 | − | 106.794i | 0.195143 | − | 0.113370i | ||||
\(943\) | 137.617 | − | 238.360i | 0.145935 | − | 0.252768i | ||||
\(944\) | −649.317 | + | 826.261i | −0.687836 | + | 0.875276i | ||||
\(945\) | 453.762 | − | 884.279i | 0.480171 | − | 0.935745i | ||||
\(946\) | −208.735 | + | 549.773i | −0.220650 | + | 0.581156i | ||||
\(947\) | −192.442 | − | 718.202i | −0.203212 | − | 0.758397i | −0.989987 | − | 0.141158i | \(-0.954918\pi\) |
0.786775 | − | 0.617240i | \(-0.211749\pi\) | |||||||
\(948\) | −147.246 | − | 105.557i | −0.155323 | − | 0.111347i | ||||
\(949\) | −2472.61 | − | 662.535i | −2.60549 | − | 0.698140i | ||||
\(950\) | 999.749 | − | 1386.67i | 1.05237 | − | 1.45965i | ||||
\(951\) | −141.654 | − | 370.077i | −0.148952 | − | 0.389145i | ||||
\(952\) | 15.0784 | − | 364.086i | 0.0158386 | − | 0.382443i | ||||
\(953\) | −1054.90 | −1.10693 | −0.553463 | − | 0.832874i | \(-0.686694\pi\) | ||||
−0.553463 | + | 0.832874i | \(0.686694\pi\) | |||||||
\(954\) | 102.864 | + | 962.526i | 0.107823 | + | 1.00894i | ||||
\(955\) | −130.595 | + | 130.595i | −0.136749 | + | 0.136749i | ||||
\(956\) | −347.237 | − | 1042.68i | −0.363218 | − | 1.09067i | ||||
\(957\) | −749.110 | − | 1033.14i | −0.782769 | − | 1.07956i | ||||
\(958\) | 33.3992 | + | 205.997i | 0.0348635 | + | 0.215028i | ||||
\(959\) | −765.634 | + | 442.039i | −0.798367 | + | 0.460937i | ||||
\(960\) | 1195.30 | + | 1146.17i | 1.24511 | + | 1.19392i | ||||
\(961\) | 400.319 | − | 693.373i | 0.416565 | − | 0.721512i | ||||
\(962\) | −362.812 | + | 955.585i | −0.377143 | + | 0.993332i | ||||
\(963\) | −532.557 | − | 347.296i | −0.553019 | − | 0.360640i | ||||
\(964\) | −352.103 | − | 312.403i | −0.365252 | − | 0.324070i | ||||
\(965\) | 1034.49 | − | 277.191i | 1.07201 | − | 0.287245i | ||||
\(966\) | 334.436 | − | 336.247i | 0.346207 | − | 0.348082i | ||||
\(967\) | −1491.54 | + | 861.139i | −1.54244 | + | 0.890527i | −0.543753 | + | 0.839245i | \(0.682997\pi\) |
−0.998684 | + | 0.0512814i | \(0.983669\pi\) | |||||||
\(968\) | 602.224 | − | 949.997i | 0.622132 | − | 0.981402i | ||||
\(969\) | −349.094 | + | 430.253i | −0.360262 | + | 0.444018i | ||||
\(970\) | −142.635 | + | 1406.53i | −0.147046 | + | 1.45003i | ||||
\(971\) | 43.2692 | + | 43.2692i | 0.0445615 | + | 0.0445615i | 0.729036 | − | 0.684475i | \(-0.239968\pi\) |
−0.684475 | + | 0.729036i | \(0.739968\pi\) | |||||||
\(972\) | −302.705 | − | 923.663i | −0.311425 | − | 0.950271i | ||||
\(973\) | −109.375 | − | 109.375i | −0.112410 | − | 0.112410i | ||||
\(974\) | 45.0027 | − | 36.7157i | 0.0462040 | − | 0.0376958i | ||||
\(975\) | −1869.77 | + | 2304.46i | −1.91771 | + | 2.36355i | ||||
\(976\) | 195.478 | + | 28.0365i | 0.200285 | + | 0.0287260i | ||||
\(977\) | 505.899 | − | 292.081i | 0.517809 | − | 0.298957i | −0.218229 | − | 0.975898i | \(-0.570028\pi\) |
0.736038 | + | 0.676941i | \(0.236695\pi\) | |||||||
\(978\) | 1.81950 | + | 673.778i | 0.00186043 | + | 0.688935i | ||||
\(979\) | 1599.68 | − | 428.633i | 1.63400 | − | 0.437828i | ||||
\(980\) | −63.3413 | − | 1060.22i | −0.0646340 | − | 1.08186i | ||||
\(981\) | −911.282 | − | 594.274i | −0.928932 | − | 0.605784i | ||||
\(982\) | −1446.10 | + | 650.189i | −1.47260 | + | 0.662107i | ||||
\(983\) | −501.229 | + | 868.153i | −0.509897 | + | 0.883167i | 0.490037 | + | 0.871701i | \(0.336983\pi\) |
−0.999934 | + | 0.0114659i | \(0.996350\pi\) | |||||||
\(984\) | 319.406 | + | 158.737i | 0.324600 | + | 0.161318i | ||||
\(985\) | 2478.45 | − | 1430.93i | 2.51619 | − | 1.45272i | ||||
\(986\) | −455.375 | − | 328.312i | −0.461841 | − | 0.332974i | ||||
\(987\) | −140.227 | − | 193.394i | −0.142074 | − | 0.195941i | ||||
\(988\) | 437.996 | + | 1315.21i | 0.443316 | + | 1.33118i | ||||
\(989\) | −238.068 | + | 238.068i | −0.240716 | + | 0.240716i | ||||
\(990\) | 1576.86 | − | 1954.22i | 1.59279 | − | 1.97396i | ||||
\(991\) | −560.194 | −0.565281 | −0.282641 | − | 0.959226i | \(-0.591210\pi\) | ||||
−0.282641 | + | 0.959226i | \(0.591210\pi\) | |||||||
\(992\) | −281.254 | + | 291.730i | −0.283522 | + | 0.294083i | ||||
\(993\) | 225.599 | + | 589.390i | 0.227190 | + | 0.593545i | ||||
\(994\) | 52.0598 | + | 321.090i | 0.0523741 | + | 0.323028i | ||||
\(995\) | −1691.12 | − | 453.134i | −1.69962 | − | 0.455411i | ||||
\(996\) | −1344.11 | + | 221.654i | −1.34951 | + | 0.222544i | ||||
\(997\) | 440.930 | + | 1645.57i | 0.442257 | + | 1.65053i | 0.723078 | + | 0.690766i | \(0.242727\pi\) |
−0.280821 | + | 0.959760i | \(0.590607\pi\) | |||||||
\(998\) | −1360.05 | + | 611.501i | −1.36277 | + | 0.612726i | ||||
\(999\) | 314.571 | − | 613.027i | 0.314886 | − | 0.613641i |
(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 | 144.3.w.a.29.13 | yes | 184 | |
3.2 | odd | 2 | 432.3.x.a.413.34 | 184 | |||
9.4 | even | 3 | 432.3.x.a.125.44 | 184 | |||
9.5 | odd | 6 | inner | 144.3.w.a.77.3 | yes | 184 | |
16.5 | even | 4 | inner | 144.3.w.a.101.3 | yes | 184 | |
48.5 | odd | 4 | 432.3.x.a.197.44 | 184 | |||
144.5 | odd | 12 | inner | 144.3.w.a.5.13 | ✓ | 184 | |
144.85 | even | 12 | 432.3.x.a.341.34 | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.w.a.5.13 | ✓ | 184 | 144.5 | odd | 12 | inner | |
144.3.w.a.29.13 | yes | 184 | 1.1 | even | 1 | trivial | |
144.3.w.a.77.3 | yes | 184 | 9.5 | odd | 6 | inner | |
144.3.w.a.101.3 | yes | 184 | 16.5 | even | 4 | inner | |
432.3.x.a.125.44 | 184 | 9.4 | even | 3 | |||
432.3.x.a.197.44 | 184 | 48.5 | odd | 4 | |||
432.3.x.a.341.34 | 184 | 144.85 | even | 12 | |||
432.3.x.a.413.34 | 184 | 3.2 | odd | 2 |