Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,3,Mod(7,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.k (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: | \(1.22616118962\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 45.13 |
Dual form | 45.3.k.a.7.6 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.183646 | − | 0.0492077i | −0.0918228 | − | 0.0246039i | 0.212615 | − | 0.977136i | \(-0.431802\pi\) |
−0.304438 | + | 0.952532i | \(0.598469\pi\) | |||||||
\(3\) | −1.82902 | − | 2.37796i | −0.609672 | − | 0.792654i | ||||
\(4\) | −3.43280 | − | 1.98193i | −0.858199 | − | 0.495482i | ||||
\(5\) | −1.61810 | − | 4.73094i | −0.323620 | − | 0.946187i | ||||
\(6\) | 0.218877 | + | 0.526704i | 0.0364795 | + | 0.0877840i | ||||
\(7\) | 8.70492 | + | 2.33248i | 1.24356 | + | 0.333211i | 0.819846 | − | 0.572585i | \(-0.194059\pi\) |
0.423715 | + | 0.905796i | \(0.360726\pi\) | |||||||
\(8\) | 1.07064 | + | 1.07064i | 0.133831 | + | 0.133831i | ||||
\(9\) | −2.30940 | + | 8.69866i | −0.256600 | + | 0.966518i | ||||
\(10\) | 0.0643587 | + | 0.948439i | 0.00643587 | + | 0.0948439i | ||||
\(11\) | −7.04110 | − | 12.1955i | −0.640100 | − | 1.10869i | −0.985410 | − | 0.170197i | \(-0.945560\pi\) |
0.345310 | − | 0.938489i | \(-0.387774\pi\) | |||||||
\(12\) | 1.56570 | + | 11.7880i | 0.130475 | + | 0.982336i | ||||
\(13\) | 12.9444 | − | 3.46845i | 0.995725 | − | 0.266804i | 0.276071 | − | 0.961137i | \(-0.410967\pi\) |
0.719653 | + | 0.694333i | \(0.244301\pi\) | |||||||
\(14\) | −1.48385 | − | 0.856699i | −0.105989 | − | 0.0611928i | ||||
\(15\) | −8.29045 | + | 12.5007i | −0.552697 | + | 0.833382i | ||||
\(16\) | 7.78377 | + | 13.4819i | 0.486486 | + | 0.842618i | ||||
\(17\) | −0.740694 | + | 0.740694i | −0.0435702 | + | 0.0435702i | −0.728556 | − | 0.684986i | \(-0.759808\pi\) |
0.684986 | + | 0.728556i | \(0.259808\pi\) | |||||||
\(18\) | 0.852153 | − | 1.48383i | 0.0473418 | − | 0.0824350i | ||||
\(19\) | − | 7.09073i | − | 0.373196i | −0.982436 | − | 0.186598i | \(-0.940254\pi\) | ||
0.982436 | − | 0.186598i | \(-0.0597463\pi\) | |||||||
\(20\) | −3.82175 | + | 19.4473i | −0.191088 | + | 0.972365i | ||||
\(21\) | −10.3749 | − | 24.9661i | −0.494043 | − | 1.18886i | ||||
\(22\) | 0.692953 | + | 2.58614i | 0.0314979 | + | 0.117552i | ||||
\(23\) | 19.0499 | − | 5.10441i | 0.828257 | − | 0.221931i | 0.180304 | − | 0.983611i | \(-0.442292\pi\) |
0.647953 | + | 0.761680i | \(0.275625\pi\) | |||||||
\(24\) | 0.587726 | − | 4.50418i | 0.0244886 | − | 0.187674i | ||||
\(25\) | −19.7635 | + | 15.3103i | −0.790540 | + | 0.612410i | ||||
\(26\) | −2.54786 | −0.0979947 | ||||||||
\(27\) | 24.9090 | − | 10.4183i | 0.922556 | − | 0.385863i | ||||
\(28\) | −25.2594 | − | 25.2594i | −0.902123 | − | 0.902123i | ||||
\(29\) | 6.18301 | − | 3.56976i | 0.213207 | − | 0.123095i | −0.389594 | − | 0.920987i | \(-0.627385\pi\) |
0.602801 | + | 0.797892i | \(0.294051\pi\) | |||||||
\(30\) | 2.13764 | − | 1.88775i | 0.0712546 | − | 0.0629251i | ||||
\(31\) | 13.0783 | − | 22.6522i | 0.421879 | − | 0.730716i | −0.574244 | − | 0.818684i | \(-0.694704\pi\) |
0.996123 | + | 0.0879678i | \(0.0280373\pi\) | |||||||
\(32\) | −2.33357 | − | 8.70902i | −0.0729242 | − | 0.272157i | ||||
\(33\) | −16.1223 | + | 39.0493i | −0.488553 | + | 1.18331i | ||||
\(34\) | 0.172473 | − | 0.0995774i | 0.00507274 | − | 0.00292875i | ||||
\(35\) | −3.05064 | − | 44.9566i | −0.0871612 | − | 1.28447i | ||||
\(36\) | 25.1678 | − | 25.2837i | 0.699106 | − | 0.702324i | ||||
\(37\) | −23.0151 | + | 23.0151i | −0.622031 | + | 0.622031i | −0.946050 | − | 0.324020i | \(-0.894966\pi\) |
0.324020 | + | 0.946050i | \(0.394966\pi\) | |||||||
\(38\) | −0.348919 | + | 1.30218i | −0.00918207 | + | 0.0342680i | ||||
\(39\) | −31.9234 | − | 24.4375i | −0.818548 | − | 0.626602i | ||||
\(40\) | 3.33274 | − | 6.79756i | 0.0833185 | − | 0.169939i | ||||
\(41\) | −36.0387 | + | 62.4209i | −0.878993 | + | 1.52246i | −0.0265459 | + | 0.999648i | \(0.508451\pi\) |
−0.852447 | + | 0.522813i | \(0.824883\pi\) | |||||||
\(42\) | 0.676780 | + | 5.09544i | 0.0161138 | + | 0.121320i | ||||
\(43\) | 3.22835 | − | 12.0484i | 0.0750779 | − | 0.280195i | −0.918173 | − | 0.396180i | \(-0.870336\pi\) |
0.993251 | + | 0.115985i | \(0.0370025\pi\) | |||||||
\(44\) | 55.8198i | 1.26863i | ||||||||
\(45\) | 44.8896 | − | 3.14967i | 0.997548 | − | 0.0699926i | ||||
\(46\) | −3.74961 | −0.0815133 | ||||||||
\(47\) | 51.8935 | + | 13.9048i | 1.10412 | + | 0.295847i | 0.764440 | − | 0.644695i | \(-0.223015\pi\) |
0.339677 | + | 0.940542i | \(0.389682\pi\) | |||||||
\(48\) | 17.8228 | − | 43.1681i | 0.371308 | − | 0.899335i | ||||
\(49\) | 27.9000 | + | 16.1081i | 0.569388 | + | 0.328736i | ||||
\(50\) | 4.38286 | − | 1.83915i | 0.0876573 | − | 0.0367829i | ||||
\(51\) | 3.11608 | + | 0.406601i | 0.0610997 | + | 0.00797257i | ||||
\(52\) | −51.3098 | − | 13.7484i | −0.986727 | − | 0.264393i | ||||
\(53\) | 17.2907 | + | 17.2907i | 0.326240 | + | 0.326240i | 0.851155 | − | 0.524915i | \(-0.175903\pi\) |
−0.524915 | + | 0.851155i | \(0.675903\pi\) | |||||||
\(54\) | −5.08709 | + | 0.687563i | −0.0942054 | + | 0.0127326i | ||||
\(55\) | −46.3031 | + | 53.0446i | −0.841875 | + | 0.964447i | ||||
\(56\) | 6.82262 | + | 11.8171i | 0.121833 | + | 0.211020i | ||||
\(57\) | −16.8615 | + | 12.9691i | −0.295816 | + | 0.227527i | ||||
\(58\) | −1.31114 | + | 0.351320i | −0.0226059 | + | 0.00605724i | ||||
\(59\) | 27.5407 | + | 15.9006i | 0.466792 | + | 0.269502i | 0.714896 | − | 0.699231i | \(-0.246474\pi\) |
−0.248104 | + | 0.968733i | \(0.579807\pi\) | |||||||
\(60\) | 53.2350 | − | 26.4814i | 0.887250 | − | 0.441357i | ||||
\(61\) | 40.7317 | + | 70.5494i | 0.667733 | + | 1.15655i | 0.978537 | + | 0.206073i | \(0.0660684\pi\) |
−0.310804 | + | 0.950474i | \(0.600598\pi\) | |||||||
\(62\) | −3.51643 | + | 3.51643i | −0.0567166 | + | 0.0567166i | ||||
\(63\) | −40.3926 | + | 70.3345i | −0.641152 | + | 1.11642i | ||||
\(64\) | − | 60.5560i | − | 0.946187i | ||||||
\(65\) | −37.3544 | − | 55.6269i | −0.574683 | − | 0.855799i | ||||
\(66\) | 4.88231 | − | 6.37790i | 0.0739744 | − | 0.0966348i | ||||
\(67\) | −17.1864 | − | 64.1404i | −0.256513 | − | 0.957319i | −0.967243 | − | 0.253854i | \(-0.918302\pi\) |
0.710730 | − | 0.703465i | \(-0.248365\pi\) | |||||||
\(68\) | 4.01065 | − | 1.07465i | 0.0589802 | − | 0.0158037i | ||||
\(69\) | −46.9807 | − | 35.9639i | −0.680880 | − | 0.521216i | ||||
\(70\) | −1.65197 | + | 8.40620i | −0.0235996 | + | 0.120089i | ||||
\(71\) | −36.3928 | −0.512574 | −0.256287 | − | 0.966601i | \(-0.582499\pi\) | ||||
−0.256287 | + | 0.966601i | \(0.582499\pi\) | |||||||
\(72\) | −11.7857 | + | 6.84062i | −0.163691 | + | 0.0950086i | ||||
\(73\) | 2.90991 | + | 2.90991i | 0.0398617 | + | 0.0398617i | 0.726757 | − | 0.686895i | \(-0.241027\pi\) |
−0.686895 | + | 0.726757i | \(0.741027\pi\) | |||||||
\(74\) | 5.35915 | − | 3.09411i | 0.0724210 | − | 0.0418123i | ||||
\(75\) | 72.5550 | + | 18.9941i | 0.967400 | + | 0.253255i | ||||
\(76\) | −14.0533 | + | 24.3410i | −0.184912 | + | 0.320277i | ||||
\(77\) | −32.8464 | − | 122.584i | −0.426577 | − | 1.59201i | ||||
\(78\) | 4.66008 | + | 6.05872i | 0.0597446 | + | 0.0776759i | ||||
\(79\) | 71.8823 | − | 41.5012i | 0.909902 | − | 0.525332i | 0.0295025 | − | 0.999565i | \(-0.490608\pi\) |
0.880400 | + | 0.474232i | \(0.157274\pi\) | |||||||
\(80\) | 51.1870 | − | 58.6396i | 0.639838 | − | 0.732995i | ||||
\(81\) | −70.3333 | − | 40.1774i | −0.868313 | − | 0.496017i | ||||
\(82\) | 9.68994 | − | 9.68994i | 0.118170 | − | 0.118170i | ||||
\(83\) | −13.7671 | + | 51.3796i | −0.165869 | + | 0.619031i | 0.832059 | + | 0.554687i | \(0.187162\pi\) |
−0.997928 | + | 0.0643438i | \(0.979505\pi\) | |||||||
\(84\) | −13.8661 | + | 106.266i | −0.165072 | + | 1.26507i | ||||
\(85\) | 4.70269 | + | 2.30566i | 0.0553258 | + | 0.0271254i | ||||
\(86\) | −1.18574 | + | 2.05377i | −0.0137877 | + | 0.0238811i | ||||
\(87\) | −19.7976 | − | 8.17381i | −0.227558 | − | 0.0939518i | ||||
\(88\) | 5.51857 | − | 20.5956i | 0.0627111 | − | 0.234041i | ||||
\(89\) | − | 22.5436i | − | 0.253299i | −0.991948 | − | 0.126650i | \(-0.959578\pi\) | ||
0.991948 | − | 0.126650i | \(-0.0404224\pi\) | |||||||
\(90\) | −8.39878 | − | 1.63049i | −0.0933197 | − | 0.0181166i | ||||
\(91\) | 120.770 | 1.32715 | ||||||||
\(92\) | −75.5111 | − | 20.2331i | −0.820773 | − | 0.219925i | ||||
\(93\) | −77.7864 | + | 10.3316i | −0.836413 | + | 0.111093i | ||||
\(94\) | −8.84580 | − | 5.10712i | −0.0941042 | − | 0.0543311i | ||||
\(95\) | −33.5458 | + | 11.4735i | −0.353114 | + | 0.120774i | ||||
\(96\) | −16.4416 | + | 21.4781i | −0.171266 | + | 0.223730i | ||||
\(97\) | 33.7192 | + | 9.03502i | 0.347620 | + | 0.0931446i | 0.428405 | − | 0.903587i | \(-0.359076\pi\) |
−0.0807843 | + | 0.996732i | \(0.525742\pi\) | |||||||
\(98\) | −4.33107 | − | 4.33107i | −0.0441946 | − | 0.0441946i | ||||
\(99\) | 122.346 | − | 33.0837i | 1.23581 | − | 0.334179i | ||||
\(100\) | 98.1879 | − | 13.3872i | 0.981879 | − | 0.133872i | ||||
\(101\) | −29.7283 | − | 51.4909i | −0.294340 | − | 0.509811i | 0.680491 | − | 0.732756i | \(-0.261766\pi\) |
−0.974831 | + | 0.222945i | \(0.928433\pi\) | |||||||
\(102\) | −0.552247 | − | 0.228006i | −0.00541419 | − | 0.00223535i | ||||
\(103\) | −76.0184 | + | 20.3691i | −0.738043 | + | 0.197758i | −0.608208 | − | 0.793778i | \(-0.708111\pi\) |
−0.129835 | + | 0.991536i | \(0.541445\pi\) | |||||||
\(104\) | 17.5723 | + | 10.1454i | 0.168965 | + | 0.0975519i | ||||
\(105\) | −101.325 | + | 89.4807i | −0.965004 | + | 0.852197i | ||||
\(106\) | −2.32453 | − | 4.02620i | −0.0219295 | − | 0.0379830i | ||||
\(107\) | −50.6865 | + | 50.6865i | −0.473706 | + | 0.473706i | −0.903112 | − | 0.429406i | \(-0.858723\pi\) |
0.429406 | + | 0.903112i | \(0.358723\pi\) | |||||||
\(108\) | −106.156 | − | 13.6039i | −0.982925 | − | 0.125962i | ||||
\(109\) | 47.8364i | 0.438866i | 0.975628 | + | 0.219433i | \(0.0704208\pi\) | ||||
−0.975628 | + | 0.219433i | \(0.929579\pi\) | |||||||
\(110\) | 11.1136 | − | 7.46294i | 0.101032 | − | 0.0678449i | ||||
\(111\) | 96.8241 | + | 12.6341i | 0.872289 | + | 0.113820i | ||||
\(112\) | 36.3109 | + | 135.514i | 0.324205 | + | 1.20995i | ||||
\(113\) | 168.318 | − | 45.1005i | 1.48954 | − | 0.399120i | 0.579955 | − | 0.814648i | \(-0.303070\pi\) |
0.909580 | + | 0.415529i | \(0.136403\pi\) | |||||||
\(114\) | 3.73472 | − | 1.55200i | 0.0327607 | − | 0.0136140i | ||||
\(115\) | −54.9733 | − | 81.8645i | −0.478029 | − | 0.711865i | ||||
\(116\) | −28.3000 | −0.243966 | ||||||||
\(117\) | 0.276954 | + | 120.609i | 0.00236713 | + | 1.03085i | ||||
\(118\) | −4.27530 | − | 4.27530i | −0.0362313 | − | 0.0362313i | ||||
\(119\) | −8.17534 | + | 4.72003i | −0.0687003 | + | 0.0396641i | ||||
\(120\) | −22.2600 | + | 4.50772i | −0.185500 | + | 0.0375643i | ||||
\(121\) | −38.6542 | + | 66.9510i | −0.319456 | + | 0.553314i | ||||
\(122\) | −4.00863 | − | 14.9604i | −0.0328576 | − | 0.122626i | ||||
\(123\) | 214.350 | − | 28.4701i | 1.74268 | − | 0.231464i | ||||
\(124\) | −89.7900 | + | 51.8403i | −0.724113 | + | 0.418067i | ||||
\(125\) | 104.411 | + | 68.7263i | 0.835289 | + | 0.549810i | ||||
\(126\) | 10.8789 | − | 10.9290i | 0.0863407 | − | 0.0867381i | ||||
\(127\) | 16.3333 | − | 16.3333i | 0.128608 | − | 0.128608i | −0.639873 | − | 0.768481i | \(-0.721013\pi\) |
0.768481 | + | 0.639873i | \(0.221013\pi\) | |||||||
\(128\) | −12.3141 | + | 45.9569i | −0.0962041 | + | 0.359038i | ||||
\(129\) | −34.5553 | + | 14.3598i | −0.267870 | + | 0.111316i | ||||
\(130\) | 4.12270 | + | 12.0538i | 0.0317130 | + | 0.0927213i | ||||
\(131\) | −27.6049 | + | 47.8130i | −0.210724 | + | 0.364985i | −0.951941 | − | 0.306280i | \(-0.900916\pi\) |
0.741217 | + | 0.671265i | \(0.234249\pi\) | |||||||
\(132\) | 132.737 | − | 102.095i | 1.00559 | − | 0.773449i | ||||
\(133\) | 16.5390 | − | 61.7243i | 0.124353 | − | 0.464092i | ||||
\(134\) | 12.6248i | 0.0942150i | ||||||||
\(135\) | −89.5936 | − | 100.985i | −0.663657 | − | 0.748037i | ||||
\(136\) | −1.58604 | −0.0116621 | ||||||||
\(137\) | 189.371 | + | 50.7417i | 1.38227 | + | 0.370377i | 0.871944 | − | 0.489606i | \(-0.162859\pi\) |
0.510323 | + | 0.859983i | \(0.329526\pi\) | |||||||
\(138\) | 6.85810 | + | 8.91643i | 0.0496964 | + | 0.0646118i | ||||
\(139\) | −82.5364 | − | 47.6524i | −0.593787 | − | 0.342823i | 0.172806 | − | 0.984956i | \(-0.444717\pi\) |
−0.766594 | + | 0.642133i | \(0.778050\pi\) | |||||||
\(140\) | −78.6285 | + | 160.373i | −0.561632 | + | 1.14552i | ||||
\(141\) | −61.8489 | − | 148.833i | −0.438645 | − | 1.05555i | ||||
\(142\) | 6.68338 | + | 1.79081i | 0.0470660 | + | 0.0126113i | ||||
\(143\) | −133.443 | − | 133.443i | −0.933165 | − | 0.933165i | ||||
\(144\) | −135.250 | + | 36.5733i | −0.939237 | + | 0.253981i | ||||
\(145\) | −26.8931 | − | 23.4752i | −0.185469 | − | 0.161898i | ||||
\(146\) | −0.391202 | − | 0.677581i | −0.00267946 | − | 0.00464097i | ||||
\(147\) | −12.7252 | − | 95.8070i | −0.0865657 | − | 0.651748i | ||||
\(148\) | 124.621 | − | 33.3920i | 0.842031 | − | 0.225622i | ||||
\(149\) | −225.341 | − | 130.101i | −1.51235 | − | 0.873158i | −0.999896 | − | 0.0144460i | \(-0.995402\pi\) |
−0.512458 | − | 0.858712i | \(-0.671265\pi\) | |||||||
\(150\) | −12.3897 | − | 7.05846i | −0.0825983 | − | 0.0470564i | ||||
\(151\) | −128.914 | − | 223.285i | −0.853735 | − | 1.47871i | −0.877814 | − | 0.479002i | \(-0.840999\pi\) |
0.0240792 | − | 0.999710i | \(-0.492335\pi\) | |||||||
\(152\) | 7.59165 | − | 7.59165i | 0.0499451 | − | 0.0499451i | ||||
\(153\) | −4.73248 | − | 8.15361i | −0.0309313 | − | 0.0532915i | ||||
\(154\) | 24.1284i | 0.156678i | ||||||||
\(155\) | −128.328 | − | 25.2188i | −0.827923 | − | 0.162702i | ||||
\(156\) | 61.1532 | + | 147.159i | 0.392008 | + | 0.943325i | ||||
\(157\) | −12.0301 | − | 44.8971i | −0.0766251 | − | 0.285969i | 0.916972 | − | 0.398952i | \(-0.130626\pi\) |
−0.993597 | + | 0.112983i | \(0.963959\pi\) | |||||||
\(158\) | −15.2431 | + | 4.08436i | −0.0964750 | + | 0.0258504i | ||||
\(159\) | 9.49166 | − | 72.7416i | 0.0596960 | − | 0.457494i | ||||
\(160\) | −37.4259 | + | 25.1321i | −0.233912 | + | 0.157075i | ||||
\(161\) | 177.734 | 1.10394 | ||||||||
\(162\) | 10.9394 | + | 10.8393i | 0.0675270 | + | 0.0669096i | ||||
\(163\) | 76.8331 | + | 76.8331i | 0.471369 | + | 0.471369i | 0.902357 | − | 0.430989i | \(-0.141835\pi\) |
−0.430989 | + | 0.902357i | \(0.641835\pi\) | |||||||
\(164\) | 247.427 | − | 142.852i | 1.50870 | − | 0.871050i | ||||
\(165\) | 210.827 | + | 13.0876i | 1.27774 | + | 0.0793189i | ||||
\(166\) | 5.05654 | − | 8.75819i | 0.0304611 | − | 0.0527602i | ||||
\(167\) | 80.7212 | + | 301.256i | 0.483360 | + | 1.80393i | 0.587333 | + | 0.809346i | \(0.300178\pi\) |
−0.103972 | + | 0.994580i | \(0.533155\pi\) | |||||||
\(168\) | 15.6220 | − | 37.8376i | 0.0929881 | − | 0.225224i | ||||
\(169\) | 9.16964 | − | 5.29409i | 0.0542582 | − | 0.0313260i | ||||
\(170\) | −0.750173 | − | 0.654833i | −0.00441278 | − | 0.00385196i | ||||
\(171\) | 61.6799 | + | 16.3754i | 0.360701 | + | 0.0957623i | ||||
\(172\) | −34.9612 | + | 34.9612i | −0.203263 | + | 0.203263i | ||||
\(173\) | −51.6158 | + | 192.633i | −0.298357 | + | 1.11348i | 0.640157 | + | 0.768244i | \(0.278869\pi\) |
−0.938514 | + | 0.345240i | \(0.887797\pi\) | |||||||
\(174\) | 3.23353 | + | 2.47528i | 0.0185835 | + | 0.0142257i | ||||
\(175\) | −207.751 | + | 87.1767i | −1.18715 | + | 0.498153i | ||||
\(176\) | 109.613 | − | 189.855i | 0.622799 | − | 1.07872i | ||||
\(177\) | −12.5613 | − | 94.5733i | −0.0709677 | − | 0.534312i | ||||
\(178\) | −1.10932 | + | 4.14004i | −0.00623214 | + | 0.0232587i | ||||
\(179\) | 254.120i | 1.41967i | 0.704370 | + | 0.709833i | \(0.251230\pi\) | ||||
−0.704370 | + | 0.709833i | \(0.748770\pi\) | |||||||
\(180\) | −160.339 | − | 78.1558i | −0.890775 | − | 0.434199i | ||||
\(181\) | −236.998 | −1.30938 | −0.654691 | − | 0.755896i | \(-0.727201\pi\) | ||||
−0.654691 | + | 0.755896i | \(0.727201\pi\) | |||||||
\(182\) | −22.1789 | − | 5.94283i | −0.121862 | − | 0.0326529i | ||||
\(183\) | 93.2648 | − | 225.894i | 0.509644 | − | 1.23440i | ||||
\(184\) | 25.8607 | + | 14.9307i | 0.140547 | + | 0.0811450i | ||||
\(185\) | 146.124 | + | 71.6423i | 0.789859 | + | 0.387256i | ||||
\(186\) | 14.7935 | + | 1.93033i | 0.0795351 | + | 0.0103781i | ||||
\(187\) | 14.2485 | + | 3.81787i | 0.0761950 | + | 0.0204164i | ||||
\(188\) | −150.582 | − | 150.582i | −0.800966 | − | 0.800966i | ||||
\(189\) | 241.131 | − | 32.5909i | 1.27583 | − | 0.172439i | ||||
\(190\) | 6.72513 | − | 0.456350i | 0.0353954 | − | 0.00240184i | ||||
\(191\) | 27.2962 | + | 47.2784i | 0.142912 | + | 0.247531i | 0.928592 | − | 0.371102i | \(-0.121020\pi\) |
−0.785680 | + | 0.618633i | \(0.787687\pi\) | |||||||
\(192\) | −144.000 | + | 110.758i | −0.749999 | + | 0.576864i | ||||
\(193\) | −193.408 | + | 51.8234i | −1.00211 | + | 0.268515i | −0.722330 | − | 0.691548i | \(-0.756929\pi\) |
−0.279782 | + | 0.960063i | \(0.590262\pi\) | |||||||
\(194\) | −5.74779 | − | 3.31849i | −0.0296278 | − | 0.0171056i | ||||
\(195\) | −63.9570 | + | 190.570i | −0.327984 | + | 0.977281i | ||||
\(196\) | −63.8500 | − | 110.591i | −0.325765 | − | 0.564242i | ||||
\(197\) | 18.5367 | − | 18.5367i | 0.0940948 | − | 0.0940948i | −0.658492 | − | 0.752587i | \(-0.728806\pi\) |
0.752587 | + | 0.658492i | \(0.228806\pi\) | |||||||
\(198\) | −24.0962 | + | 0.0553320i | −0.121698 | + | 0.000279454i | ||||
\(199\) | 206.081i | 1.03558i | 0.855507 | + | 0.517792i | \(0.173246\pi\) | ||||
−0.855507 | + | 0.517792i | \(0.826754\pi\) | |||||||
\(200\) | −37.5515 | − | 4.76784i | −0.187758 | − | 0.0238392i | ||||
\(201\) | −121.089 | + | 158.182i | −0.602434 | + | 0.786977i | ||||
\(202\) | 2.92572 | + | 10.9190i | 0.0144838 | + | 0.0540542i | ||||
\(203\) | 62.1490 | − | 16.6528i | 0.306153 | − | 0.0820334i | ||||
\(204\) | −9.89103 | − | 7.57163i | −0.0484854 | − | 0.0371158i | ||||
\(205\) | 353.623 | + | 69.4936i | 1.72499 | + | 0.338993i | ||||
\(206\) | 14.9628 | 0.0726348 | ||||||||
\(207\) | 0.407585 | + | 177.497i | 0.00196901 | + | 0.857473i | ||||
\(208\) | 147.518 | + | 147.518i | 0.709219 | + | 0.709219i | ||||
\(209\) | −86.4753 | + | 49.9266i | −0.413758 | + | 0.238883i | ||||
\(210\) | 23.0111 | − | 11.4467i | 0.109577 | − | 0.0545083i | ||||
\(211\) | 121.373 | − | 210.225i | 0.575230 | − | 0.996327i | −0.420787 | − | 0.907159i | \(-0.638246\pi\) |
0.996017 | − | 0.0891675i | \(-0.0284206\pi\) | |||||||
\(212\) | −25.0866 | − | 93.6244i | −0.118333 | − | 0.441625i | ||||
\(213\) | 66.5630 | + | 86.5406i | 0.312502 | + | 0.406294i | ||||
\(214\) | 11.8025 | − | 6.81419i | 0.0551520 | − | 0.0318420i | ||||
\(215\) | −62.2238 | + | 4.22235i | −0.289413 | + | 0.0196389i | ||||
\(216\) | 37.8230 | + | 15.5144i | 0.175106 | + | 0.0718258i | ||||
\(217\) | 166.681 | − | 166.681i | 0.768115 | − | 0.768115i | ||||
\(218\) | 2.35392 | − | 8.78496i | 0.0107978 | − | 0.0402980i | ||||
\(219\) | 1.59738 | − | 12.2419i | 0.00729397 | − | 0.0558991i | ||||
\(220\) | 264.080 | − | 90.3220i | 1.20036 | − | 0.410555i | ||||
\(221\) | −7.01880 | + | 12.1569i | −0.0317593 | + | 0.0550087i | ||||
\(222\) | −17.1596 | − | 7.08468i | −0.0772957 | − | 0.0319130i | ||||
\(223\) | −53.2572 | + | 198.758i | −0.238821 | + | 0.891293i | 0.737568 | + | 0.675273i | \(0.235974\pi\) |
−0.976389 | + | 0.216020i | \(0.930692\pi\) | |||||||
\(224\) | − | 81.2544i | − | 0.362743i | ||||||
\(225\) | −87.5368 | − | 207.273i | −0.389053 | − | 0.921216i | ||||
\(226\) | −33.1301 | −0.146593 | ||||||||
\(227\) | −179.821 | − | 48.1829i | −0.792163 | − | 0.212259i | −0.160022 | − | 0.987113i | \(-0.551157\pi\) |
−0.632140 | + | 0.774854i | \(0.717823\pi\) | |||||||
\(228\) | 83.5858 | − | 11.1019i | 0.366604 | − | 0.0486927i | ||||
\(229\) | 156.704 | + | 90.4733i | 0.684298 | + | 0.395080i | 0.801473 | − | 0.598031i | \(-0.204050\pi\) |
−0.117174 | + | 0.993111i | \(0.537384\pi\) | |||||||
\(230\) | 6.06725 | + | 17.7392i | 0.0263793 | + | 0.0771268i | ||||
\(231\) | −231.425 | + | 302.316i | −1.00184 | + | 1.30873i | ||||
\(232\) | 10.4417 | + | 2.79786i | 0.0450075 | + | 0.0120597i | ||||
\(233\) | −120.230 | − | 120.230i | −0.516010 | − | 0.516010i | 0.400351 | − | 0.916362i | \(-0.368888\pi\) |
−0.916362 | + | 0.400351i | \(0.868888\pi\) | |||||||
\(234\) | 5.88404 | − | 22.1630i | 0.0251455 | − | 0.0947136i | ||||
\(235\) | −18.1861 | − | 268.004i | −0.0773877 | − | 1.14044i | ||||
\(236\) | −63.0278 | − | 109.167i | −0.267067 | − | 0.462573i | ||||
\(237\) | −230.162 | − | 95.0268i | −0.971148 | − | 0.400957i | ||||
\(238\) | 1.73363 | − | 0.464524i | 0.00728415 | − | 0.00195178i | ||||
\(239\) | −332.123 | − | 191.751i | −1.38963 | − | 0.802306i | −0.396360 | − | 0.918095i | \(-0.629727\pi\) |
−0.993274 | + | 0.115790i | \(0.963060\pi\) | |||||||
\(240\) | −233.064 | − | 14.4681i | −0.971102 | − | 0.0602836i | ||||
\(241\) | 162.944 | + | 282.226i | 0.676114 | + | 1.17106i | 0.976142 | + | 0.217134i | \(0.0696708\pi\) |
−0.300028 | + | 0.953931i | \(0.596996\pi\) | |||||||
\(242\) | 10.3932 | − | 10.3932i | 0.0429470 | − | 0.0429470i | ||||
\(243\) | 33.1004 | + | 240.735i | 0.136216 | + | 0.990679i | ||||
\(244\) | − | 322.909i | − | 1.32340i | ||||||
\(245\) | 31.0612 | − | 158.058i | 0.126781 | − | 0.645133i | ||||
\(246\) | −40.7654 | − | 5.31925i | −0.165713 | − | 0.0216230i | ||||
\(247\) | −24.5938 | − | 91.7854i | −0.0995702 | − | 0.371601i | ||||
\(248\) | 38.2546 | − | 10.2503i | 0.154252 | − | 0.0413318i | ||||
\(249\) | 147.359 | − | 61.2364i | 0.591803 | − | 0.245929i | ||||
\(250\) | −15.7928 | − | 17.7591i | −0.0631712 | − | 0.0710365i | ||||
\(251\) | 428.941 | 1.70893 | 0.854465 | − | 0.519509i | \(-0.173885\pi\) | ||||
0.854465 | + | 0.519509i | \(0.173885\pi\) | |||||||
\(252\) | 278.057 | − | 161.389i | 1.10340 | − | 0.640433i | ||||
\(253\) | −196.383 | − | 196.383i | −0.776219 | − | 0.776219i | ||||
\(254\) | −3.80325 | + | 2.19581i | −0.0149734 | + | 0.00864492i | ||||
\(255\) | −3.11853 | − | 15.3999i | −0.0122295 | − | 0.0603918i | ||||
\(256\) | −116.589 | + | 201.938i | −0.455426 | + | 0.788821i | ||||
\(257\) | −95.3527 | − | 355.861i | −0.371022 | − | 1.38467i | −0.859070 | − | 0.511857i | \(-0.828958\pi\) |
0.488048 | − | 0.872817i | \(-0.337709\pi\) | |||||||
\(258\) | 7.05253 | − | 0.936723i | 0.0273354 | − | 0.00363071i | ||||
\(259\) | −254.027 | + | 146.663i | −0.980800 | + | 0.566265i | ||||
\(260\) | 17.9815 | + | 264.990i | 0.0691597 | + | 1.01919i | ||||
\(261\) | 16.7731 | + | 62.0279i | 0.0642647 | + | 0.237655i | ||||
\(262\) | 7.42228 | − | 7.42228i | 0.0283293 | − | 0.0283293i | ||||
\(263\) | 17.0763 | − | 63.7296i | 0.0649289 | − | 0.242318i | −0.925833 | − | 0.377934i | \(-0.876635\pi\) |
0.990761 | + | 0.135616i | \(0.0433013\pi\) | |||||||
\(264\) | −59.0691 | + | 24.5467i | −0.223747 | + | 0.0929800i | ||||
\(265\) | 53.8231 | − | 109.779i | 0.203106 | − | 0.414262i | ||||
\(266\) | −6.07462 | + | 10.5216i | −0.0228369 | + | 0.0395547i | ||||
\(267\) | −53.6079 | + | 41.2327i | −0.200779 | + | 0.154429i | ||||
\(268\) | −68.1242 | + | 254.243i | −0.254195 | + | 0.948668i | ||||
\(269\) | − | 146.927i | − | 0.546197i | −0.961986 | − | 0.273099i | \(-0.911951\pi\) | ||
0.961986 | − | 0.273099i | \(-0.0880485\pi\) | |||||||
\(270\) | 11.4842 | + | 22.9542i | 0.0425342 | + | 0.0850154i | ||||
\(271\) | −45.0155 | −0.166109 | −0.0830544 | − | 0.996545i | \(-0.526468\pi\) | ||||
−0.0830544 | + | 0.996545i | \(0.526468\pi\) | |||||||
\(272\) | −15.7513 | − | 4.22056i | −0.0579094 | − | 0.0155168i | ||||
\(273\) | −220.891 | − | 287.187i | −0.809124 | − | 1.05197i | ||||
\(274\) | −32.2802 | − | 18.6370i | −0.117811 | − | 0.0680182i | ||||
\(275\) | 325.874 | + | 133.226i | 1.18500 | + | 0.484457i | ||||
\(276\) | 89.9973 | + | 216.569i | 0.326077 | + | 0.784671i | ||||
\(277\) | 153.339 | + | 41.0870i | 0.553570 | + | 0.148329i | 0.524751 | − | 0.851256i | \(-0.324159\pi\) |
0.0288193 | + | 0.999585i | \(0.490825\pi\) | |||||||
\(278\) | 12.8126 | + | 12.8126i | 0.0460885 | + | 0.0460885i | ||||
\(279\) | 166.841 | + | 166.076i | 0.597996 | + | 0.595256i | ||||
\(280\) | 44.8664 | − | 51.3987i | 0.160237 | − | 0.183567i | ||||
\(281\) | −33.0937 | − | 57.3199i | −0.117771 | − | 0.203986i | 0.801113 | − | 0.598513i | \(-0.204242\pi\) |
−0.918884 | + | 0.394528i | \(0.870908\pi\) | |||||||
\(282\) | 4.03456 | + | 30.3760i | 0.0143069 | + | 0.107716i | ||||
\(283\) | 388.793 | − | 104.177i | 1.37383 | − | 0.368116i | 0.504952 | − | 0.863148i | \(-0.331510\pi\) |
0.868875 | + | 0.495032i | \(0.164844\pi\) | |||||||
\(284\) | 124.929 | + | 72.1278i | 0.439891 | + | 0.253971i | ||||
\(285\) | 88.6394 | + | 58.7854i | 0.311015 | + | 0.206264i | ||||
\(286\) | 17.9397 | + | 31.0726i | 0.0627264 | + | 0.108645i | ||||
\(287\) | −459.310 | + | 459.310i | −1.60038 | + | 1.60038i | ||||
\(288\) | 81.1460 | − | 0.186335i | 0.281757 | − | 0.000646996i | ||||
\(289\) | 287.903i | 0.996203i | ||||||||
\(290\) | 3.78363 | + | 5.63446i | 0.0130470 | + | 0.0194292i | ||||
\(291\) | −40.1880 | − | 96.7081i | −0.138103 | − | 0.332330i | ||||
\(292\) | −4.22190 | − | 15.7563i | −0.0144586 | − | 0.0539600i | ||||
\(293\) | −209.736 | + | 56.1985i | −0.715821 | + | 0.191804i | −0.598306 | − | 0.801267i | \(-0.704159\pi\) |
−0.117515 | + | 0.993071i | \(0.537493\pi\) | |||||||
\(294\) | −2.37752 | + | 18.2207i | −0.00808682 | + | 0.0619752i | ||||
\(295\) | 30.6612 | − | 156.022i | 0.103936 | − | 0.528889i | ||||
\(296\) | −49.2820 | −0.166493 | ||||||||
\(297\) | −302.444 | − | 230.423i | −1.01833 | − | 0.775833i | ||||
\(298\) | 34.9809 | + | 34.9809i | 0.117386 | + | 0.117386i | ||||
\(299\) | 228.886 | − | 132.147i | 0.765504 | − | 0.441964i | ||||
\(300\) | −211.421 | − | 209.002i | −0.704738 | − | 0.696672i | ||||
\(301\) | 56.2051 | − | 97.3500i | 0.186728 | − | 0.323422i | ||||
\(302\) | 12.6871 | + | 47.3490i | 0.0420103 | + | 0.156785i | ||||
\(303\) | −68.0699 | + | 164.871i | −0.224653 | + | 0.544127i | ||||
\(304\) | 95.5965 | − | 55.1926i | 0.314462 | − | 0.181555i | ||||
\(305\) | 267.857 | − | 306.855i | 0.878218 | − | 1.00608i | ||||
\(306\) | 0.467880 | + | 1.73025i | 0.00152902 | + | 0.00565441i | ||||
\(307\) | −219.096 | + | 219.096i | −0.713666 | + | 0.713666i | −0.967300 | − | 0.253634i | \(-0.918374\pi\) |
0.253634 | + | 0.967300i | \(0.418374\pi\) | |||||||
\(308\) | −130.198 | + | 485.907i | −0.422722 | + | 1.57762i | ||||
\(309\) | 187.476 | + | 143.513i | 0.606717 | + | 0.464445i | ||||
\(310\) | 22.3259 | + | 10.9461i | 0.0720191 | + | 0.0353099i | ||||
\(311\) | −68.8478 | + | 119.248i | −0.221376 | + | 0.383434i | −0.955226 | − | 0.295877i | \(-0.904388\pi\) |
0.733850 | + | 0.679311i | \(0.237721\pi\) | |||||||
\(312\) | −8.01473 | − | 60.3424i | −0.0256882 | − | 0.193405i | ||||
\(313\) | 1.70804 | − | 6.37451i | 0.00545701 | − | 0.0203658i | −0.963144 | − | 0.268988i | \(-0.913311\pi\) |
0.968601 | + | 0.248622i | \(0.0799776\pi\) | |||||||
\(314\) | 8.83713i | 0.0281437i | ||||||||
\(315\) | 398.107 | + | 77.2864i | 1.26383 | + | 0.245354i | ||||
\(316\) | −329.010 | −1.04117 | ||||||||
\(317\) | 427.280 | + | 114.489i | 1.34789 | + | 0.361165i | 0.859354 | − | 0.511381i | \(-0.170866\pi\) |
0.488532 | + | 0.872546i | \(0.337533\pi\) | |||||||
\(318\) | −5.32255 | + | 12.8916i | −0.0167376 | + | 0.0405397i | ||||
\(319\) | −87.0704 | − | 50.2701i | −0.272948 | − | 0.157587i | ||||
\(320\) | −286.486 | + | 97.9856i | −0.895270 | + | 0.306205i | ||||
\(321\) | 213.237 | + | 27.8241i | 0.664290 | + | 0.0866796i | ||||
\(322\) | −32.6401 | − | 8.74588i | −0.101367 | − | 0.0271611i | ||||
\(323\) | 5.25206 | + | 5.25206i | 0.0162603 | + | 0.0162603i | ||||
\(324\) | 161.811 | + | 277.316i | 0.499418 | + | 0.855915i | ||||
\(325\) | −202.724 | + | 266.731i | −0.623767 | + | 0.820711i | ||||
\(326\) | −10.3293 | − | 17.8909i | −0.0316849 | − | 0.0548799i | ||||
\(327\) | 113.753 | − | 87.4936i | 0.347869 | − | 0.267565i | ||||
\(328\) | −105.415 | + | 28.2459i | −0.321388 | + | 0.0861156i | ||||
\(329\) | 419.296 | + | 242.081i | 1.27446 | + | 0.735808i | ||||
\(330\) | −38.0735 | − | 12.7778i | −0.115374 | − | 0.0387206i | ||||
\(331\) | −130.851 | − | 226.641i | −0.395321 | − | 0.684716i | 0.597821 | − | 0.801630i | \(-0.296033\pi\) |
−0.993142 | + | 0.116913i | \(0.962700\pi\) | |||||||
\(332\) | 149.090 | − | 149.090i | 0.449067 | − | 0.449067i | ||||
\(333\) | −147.050 | − | 253.352i | −0.441590 | − | 0.760817i | ||||
\(334\) | − | 59.2964i | − | 0.177534i | ||||||
\(335\) | −275.635 | + | 185.093i | −0.822791 | + | 0.552517i | ||||
\(336\) | 255.834 | − | 334.204i | 0.761412 | − | 0.994654i | ||||
\(337\) | −37.7355 | − | 140.831i | −0.111975 | − | 0.417895i | 0.887068 | − | 0.461639i | \(-0.152738\pi\) |
−0.999043 | + | 0.0437433i | \(0.986072\pi\) | |||||||
\(338\) | −1.94447 | + | 0.521020i | −0.00575288 | + | 0.00154148i | ||||
\(339\) | −415.103 | − | 317.763i | −1.22449 | − | 0.937354i | ||||
\(340\) | −11.5737 | − | 17.2352i | −0.0340404 | − | 0.0506919i | ||||
\(341\) | −368.341 | −1.08018 | ||||||||
\(342\) | −10.5214 | − | 6.04239i | −0.0307645 | − | 0.0176678i | ||||
\(343\) | −106.954 | − | 106.954i | −0.311820 | − | 0.311820i | ||||
\(344\) | 16.3559 | − | 9.44310i | 0.0475463 | − | 0.0274509i | ||||
\(345\) | −94.1235 | + | 280.456i | −0.272822 | + | 0.812916i | ||||
\(346\) | 18.9580 | − | 32.8363i | 0.0547920 | − | 0.0949025i | ||||
\(347\) | −2.62052 | − | 9.77990i | −0.00755192 | − | 0.0281842i | 0.962047 | − | 0.272884i | \(-0.0879774\pi\) |
−0.969599 | + | 0.244699i | \(0.921311\pi\) | |||||||
\(348\) | 51.7612 | + | 67.2964i | 0.148739 | + | 0.193380i | ||||
\(349\) | 94.1070 | − | 54.3327i | 0.269648 | − | 0.155681i | −0.359080 | − | 0.933307i | \(-0.616909\pi\) |
0.628727 | + | 0.777626i | \(0.283576\pi\) | |||||||
\(350\) | 42.4423 | − | 5.78670i | 0.121264 | − | 0.0165334i | ||||
\(351\) | 286.297 | − | 221.255i | 0.815662 | − | 0.630355i | ||||
\(352\) | −89.7803 | + | 89.7803i | −0.255058 | + | 0.255058i | ||||
\(353\) | 125.168 | − | 467.133i | 0.354583 | − | 1.32332i | −0.526425 | − | 0.850221i | \(-0.676468\pi\) |
0.881008 | − | 0.473101i | \(-0.156865\pi\) | |||||||
\(354\) | −2.34691 | + | 17.9861i | −0.00662968 | + | 0.0508082i | ||||
\(355\) | 58.8872 | + | 172.172i | 0.165879 | + | 0.484991i | ||||
\(356\) | −44.6798 | + | 77.3877i | −0.125505 | + | 0.217381i | ||||
\(357\) | 26.1769 | + | 10.8076i | 0.0733246 | + | 0.0302735i | ||||
\(358\) | 12.5047 | − | 46.6681i | 0.0349293 | − | 0.130358i | ||||
\(359\) | − | 279.063i | − | 0.777333i | −0.921378 | − | 0.388667i | \(-0.872936\pi\) | ||
0.921378 | − | 0.388667i | \(-0.127064\pi\) | |||||||
\(360\) | 51.4330 | + | 44.6887i | 0.142869 | + | 0.124135i | ||||
\(361\) | 310.722 | 0.860724 | ||||||||
\(362\) | 43.5237 | + | 11.6621i | 0.120231 | + | 0.0322159i | ||||
\(363\) | 229.906 | − | 30.5363i | 0.633350 | − | 0.0841220i | ||||
\(364\) | −414.580 | − | 239.358i | −1.13896 | − | 0.657576i | ||||
\(365\) | 9.05805 | − | 18.4751i | 0.0248166 | − | 0.0506167i | ||||
\(366\) | −28.2434 | + | 36.8952i | −0.0771678 | + | 0.100806i | ||||
\(367\) | −172.547 | − | 46.2339i | −0.470156 | − | 0.125978i | 0.0159593 | − | 0.999873i | \(-0.494920\pi\) |
−0.486115 | + | 0.873895i | \(0.661586\pi\) | |||||||
\(368\) | 217.097 | + | 217.097i | 0.589938 | + | 0.589938i | ||||
\(369\) | −459.750 | − | 457.643i | −1.24594 | − | 1.24023i | ||||
\(370\) | −23.3097 | − | 20.3472i | −0.0629991 | − | 0.0549925i | ||||
\(371\) | 110.184 | + | 190.844i | 0.296992 | + | 0.514406i | ||||
\(372\) | 287.502 | + | 118.701i | 0.772854 | + | 0.319087i | ||||
\(373\) | 84.7938 | − | 22.7204i | 0.227329 | − | 0.0609127i | −0.143356 | − | 0.989671i | \(-0.545789\pi\) |
0.370685 | + | 0.928758i | \(0.379123\pi\) | |||||||
\(374\) | −2.42880 | − | 1.40227i | −0.00649412 | − | 0.00374938i | ||||
\(375\) | −27.5412 | − | 373.987i | −0.0734432 | − | 0.997299i | ||||
\(376\) | 40.6724 | + | 70.4466i | 0.108171 | + | 0.187358i | ||||
\(377\) | 67.6540 | − | 67.6540i | 0.179453 | − | 0.179453i | ||||
\(378\) | −45.8865 | − | 5.88035i | −0.121393 | − | 0.0155565i | ||||
\(379\) | − | 10.3793i | − | 0.0273860i | −0.999906 | − | 0.0136930i | \(-0.995641\pi\) | ||
0.999906 | − | 0.0136930i | \(-0.00435875\pi\) | |||||||
\(380\) | 137.896 | + | 27.0990i | 0.362883 | + | 0.0713133i | ||||
\(381\) | −68.7136 | − | 8.96607i | −0.180351 | − | 0.0235330i | ||||
\(382\) | −2.68637 | − | 10.0257i | −0.00703238 | − | 0.0262452i | ||||
\(383\) | 124.435 | − | 33.3422i | 0.324895 | − | 0.0870554i | −0.0926850 | − | 0.995695i | \(-0.529545\pi\) |
0.417580 | + | 0.908640i | \(0.362878\pi\) | |||||||
\(384\) | 131.807 | − | 54.7734i | 0.343246 | − | 0.142639i | ||||
\(385\) | −526.790 | + | 353.748i | −1.36829 | + | 0.918827i | ||||
\(386\) | 38.0686 | 0.0986233 | ||||||||
\(387\) | 97.3490 | + | 55.9068i | 0.251548 | + | 0.144462i | ||||
\(388\) | −97.8443 | − | 97.8443i | −0.252176 | − | 0.252176i | ||||
\(389\) | −635.357 | + | 366.824i | −1.63331 | + | 0.942991i | −0.650245 | + | 0.759724i | \(0.725334\pi\) |
−0.983063 | + | 0.183267i | \(0.941333\pi\) | |||||||
\(390\) | 21.1229 | − | 31.8501i | 0.0541613 | − | 0.0816670i | ||||
\(391\) | −10.3294 | + | 17.8910i | −0.0264178 | + | 0.0457570i | ||||
\(392\) | 12.6250 | + | 47.1170i | 0.0322065 | + | 0.120196i | ||||
\(393\) | 164.187 | − | 21.8075i | 0.417779 | − | 0.0554898i | ||||
\(394\) | −4.31633 | + | 2.49203i | −0.0109552 | + | 0.00632496i | ||||
\(395\) | −312.652 | − | 272.917i | −0.791525 | − | 0.690930i | ||||
\(396\) | −485.557 | − | 128.910i | −1.22615 | − | 0.325531i | ||||
\(397\) | 151.257 | − | 151.257i | 0.381000 | − | 0.381000i | −0.490463 | − | 0.871462i | \(-0.663172\pi\) |
0.871462 | + | 0.490463i | \(0.163172\pi\) | |||||||
\(398\) | 10.1408 | − | 37.8459i | 0.0254794 | − | 0.0950903i | ||||
\(399\) | −177.028 | + | 73.5656i | −0.443679 | + | 0.184375i | ||||
\(400\) | −360.246 | − | 147.278i | −0.900614 | − | 0.368194i | ||||
\(401\) | −3.27254 | + | 5.66821i | −0.00816096 | + | 0.0141352i | −0.870077 | − | 0.492916i | \(-0.835931\pi\) |
0.861916 | + | 0.507051i | \(0.169264\pi\) | |||||||
\(402\) | 30.0213 | − | 23.0910i | 0.0746799 | − | 0.0574402i | ||||
\(403\) | 90.7225 | − | 338.581i | 0.225118 | − | 0.840151i | ||||
\(404\) | 235.677i | 0.583360i | ||||||||
\(405\) | −76.2704 | + | 397.753i | −0.188322 | + | 0.982107i | ||||
\(406\) | −12.2328 | −0.0301302 | ||||||||
\(407\) | 442.734 | + | 118.630i | 1.08780 | + | 0.291475i | ||||
\(408\) | 2.90089 | + | 3.77154i | 0.00711003 | + | 0.00924397i | ||||
\(409\) | 639.259 | + | 369.076i | 1.56298 | + | 0.902387i | 0.996953 | + | 0.0779993i | \(0.0248532\pi\) |
0.566026 | + | 0.824387i | \(0.308480\pi\) | |||||||
\(410\) | −61.5218 | − | 30.1632i | −0.150053 | − | 0.0735688i | ||||
\(411\) | −225.700 | − | 543.123i | −0.549148 | − | 1.32147i | ||||
\(412\) | 301.326 | + | 80.7400i | 0.731373 | + | 0.195971i | ||||
\(413\) | 202.652 | + | 202.652i | 0.490683 | + | 0.490683i | ||||
\(414\) | 8.65937 | − | 32.6166i | 0.0209163 | − | 0.0787840i | ||||
\(415\) | 265.350 | − | 18.0060i | 0.639398 | − | 0.0433879i | ||||
\(416\) | −60.4136 | − | 104.639i | −0.145225 | − | 0.251537i | ||||
\(417\) | 37.6448 | + | 283.426i | 0.0902753 | + | 0.679678i | ||||
\(418\) | 18.3376 | − | 4.91354i | 0.0438698 | − | 0.0117549i | ||||
\(419\) | −235.376 | − | 135.894i | −0.561756 | − | 0.324330i | 0.192094 | − | 0.981377i | \(-0.438472\pi\) |
−0.753850 | + | 0.657047i | \(0.771805\pi\) | |||||||
\(420\) | 525.174 | − | 106.349i | 1.25041 | − | 0.253213i | ||||
\(421\) | 102.996 | + | 178.395i | 0.244647 | + | 0.423741i | 0.962032 | − | 0.272936i | \(-0.0879947\pi\) |
−0.717386 | + | 0.696676i | \(0.754661\pi\) | |||||||
\(422\) | −32.6344 | + | 32.6344i | −0.0773327 | + | 0.0773327i | ||||
\(423\) | −240.796 | + | 419.292i | −0.569259 | + | 0.991235i | ||||
\(424\) | 37.0244i | 0.0873217i | ||||||||
\(425\) | 3.29849 | − | 25.9789i | 0.00776115 | − | 0.0611269i | ||||
\(426\) | −7.96553 | − | 19.1682i | −0.0186984 | − | 0.0449958i | ||||
\(427\) | 190.011 | + | 709.133i | 0.444992 | + | 1.66073i | ||||
\(428\) | 274.453 | − | 73.5396i | 0.641246 | − | 0.171821i | ||||
\(429\) | −73.2528 | + | 561.390i | −0.170752 | + | 1.30860i | ||||
\(430\) | 11.6349 | + | 2.28648i | 0.0270579 | + | 0.00531738i | ||||
\(431\) | −238.470 | −0.553294 | −0.276647 | − | 0.960972i | \(-0.589223\pi\) | ||||
−0.276647 | + | 0.960972i | \(0.589223\pi\) | |||||||
\(432\) | 334.345 | + | 254.727i | 0.773946 | + | 0.589645i | ||||
\(433\) | 79.6977 | + | 79.6977i | 0.184059 | + | 0.184059i | 0.793122 | − | 0.609063i | \(-0.208454\pi\) |
−0.609063 | + | 0.793122i | \(0.708454\pi\) | |||||||
\(434\) | −38.8122 | + | 22.4083i | −0.0894291 | + | 0.0516319i | ||||
\(435\) | −6.63528 | + | 106.887i | −0.0152535 | + | 0.245718i | ||||
\(436\) | 94.8083 | − | 164.213i | 0.217450 | − | 0.376635i | ||||
\(437\) | −36.1940 | − | 135.078i | −0.0828238 | − | 0.309103i | ||||
\(438\) | −0.895748 | + | 2.16957i | −0.00204509 | + | 0.00495336i | ||||
\(439\) | 280.123 | − | 161.729i | 0.638094 | − | 0.368404i | −0.145786 | − | 0.989316i | \(-0.546571\pi\) |
0.783880 | + | 0.620912i | \(0.213238\pi\) | |||||||
\(440\) | −106.366 | + | 7.21774i | −0.241741 | + | 0.0164039i | ||||
\(441\) | −204.551 | + | 205.492i | −0.463834 | + | 0.465969i | ||||
\(442\) | 1.88719 | − | 1.88719i | 0.00426965 | − | 0.00426965i | ||||
\(443\) | 195.518 | − | 729.682i | 0.441349 | − | 1.64714i | −0.284051 | − | 0.958809i | \(-0.591678\pi\) |
0.725400 | − | 0.688328i | \(-0.241655\pi\) | |||||||
\(444\) | −307.338 | − | 235.268i | −0.692202 | − | 0.529884i | ||||
\(445\) | −106.653 | + | 36.4779i | −0.239669 | + | 0.0819728i | ||||
\(446\) | 19.5609 | − | 33.8805i | 0.0438585 | − | 0.0759652i | ||||
\(447\) | 102.778 | + | 773.808i | 0.229928 | + | 1.73111i | ||||
\(448\) | 141.245 | − | 527.135i | 0.315280 | − | 1.17664i | ||||
\(449\) | 514.733i | 1.14640i | 0.819416 | + | 0.573199i | \(0.194298\pi\) | ||||
−0.819416 | + | 0.573199i | \(0.805702\pi\) | |||||||
\(450\) | 5.87631 | + | 42.3724i | 0.0130585 | + | 0.0941608i | ||||
\(451\) | 1015.01 | 2.25057 | ||||||||
\(452\) | −667.186 | − | 178.772i | −1.47607 | − | 0.395513i | ||||
\(453\) | −295.179 | + | 714.945i | −0.651609 | + | 1.57825i | ||||
\(454\) | 30.6524 | + | 17.6972i | 0.0675162 | + | 0.0389805i | ||||
\(455\) | −195.418 | − | 571.356i | −0.429491 | − | 1.25573i | ||||
\(456\) | −31.9379 | − | 4.16741i | −0.0700393 | − | 0.00913905i | ||||
\(457\) | −550.455 | − | 147.494i | −1.20450 | − | 0.322744i | −0.399897 | − | 0.916560i | \(-0.630954\pi\) |
−0.804601 | + | 0.593816i | \(0.797621\pi\) | |||||||
\(458\) | −24.3261 | − | 24.3261i | −0.0531137 | − | 0.0531137i | ||||
\(459\) | −10.7332 | + | 26.1667i | −0.0233838 | + | 0.0570081i | ||||
\(460\) | 26.4629 | + | 389.977i | 0.0575280 | + | 0.847777i | ||||
\(461\) | −119.334 | − | 206.693i | −0.258860 | − | 0.448358i | 0.707077 | − | 0.707137i | \(-0.250013\pi\) |
−0.965937 | + | 0.258778i | \(0.916680\pi\) | |||||||
\(462\) | 57.3764 | − | 44.1312i | 0.124191 | − | 0.0955222i | ||||
\(463\) | −796.822 | + | 213.508i | −1.72100 | + | 0.461140i | −0.978078 | − | 0.208239i | \(-0.933227\pi\) |
−0.742921 | + | 0.669380i | \(0.766560\pi\) | |||||||
\(464\) | 96.2543 | + | 55.5724i | 0.207445 | + | 0.119768i | ||||
\(465\) | 174.745 | + | 351.285i | 0.375795 | + | 0.755451i | ||||
\(466\) | 16.1635 | + | 27.9961i | 0.0346857 | + | 0.0600774i | ||||
\(467\) | 489.265 | − | 489.265i | 1.04768 | − | 1.04768i | 0.0488707 | − | 0.998805i | \(-0.484438\pi\) |
0.998805 | − | 0.0488707i | \(-0.0155622\pi\) | |||||||
\(468\) | 238.088 | − | 414.576i | 0.508734 | − | 0.885845i | ||||
\(469\) | − | 598.424i | − | 1.27596i | ||||||
\(470\) | −9.84808 | + | 50.1127i | −0.0209534 | + | 0.106623i | ||||
\(471\) | −84.7602 | + | 110.725i | −0.179958 | + | 0.235084i | ||||
\(472\) | 12.4624 | + | 46.5102i | 0.0264033 | + | 0.0985386i | ||||
\(473\) | −169.667 | + | 45.4623i | −0.358705 | + | 0.0961147i | ||||
\(474\) | 37.5922 | + | 28.7770i | 0.0793085 | + | 0.0607110i | ||||
\(475\) | 108.561 | + | 140.138i | 0.228549 | + | 0.295027i | ||||
\(476\) | 37.4190 | 0.0786114 | ||||||||
\(477\) | −190.337 | + | 110.475i | −0.399030 | + | 0.231603i | ||||
\(478\) | 51.5572 | + | 51.5572i | 0.107860 | + | 0.107860i | ||||
\(479\) | 142.795 | − | 82.4426i | 0.298110 | − | 0.172114i | −0.343483 | − | 0.939159i | \(-0.611607\pi\) |
0.641594 | + | 0.767045i | \(0.278274\pi\) | |||||||
\(480\) | 128.216 | + | 43.0303i | 0.267116 | + | 0.0896465i | ||||
\(481\) | −218.091 | + | 377.744i | −0.453411 | + | 0.785331i | ||||
\(482\) | −16.0362 | − | 59.8478i | −0.0332700 | − | 0.124165i | ||||
\(483\) | −325.078 | − | 422.645i | −0.673040 | − | 0.875041i | ||||
\(484\) | 265.384 | − | 153.220i | 0.548314 | − | 0.316569i | ||||
\(485\) | −11.8169 | − | 174.143i | −0.0243647 | − | 0.359057i | ||||
\(486\) | 5.76728 | − | 45.8387i | 0.0118668 | − | 0.0943184i | ||||
\(487\) | 326.960 | − | 326.960i | 0.671376 | − | 0.671376i | −0.286657 | − | 0.958033i | \(-0.592544\pi\) |
0.958033 | + | 0.286657i | \(0.0925441\pi\) | |||||||
\(488\) | −31.9241 | + | 119.142i | −0.0654183 | + | 0.244144i | ||||
\(489\) | 42.1772 | − | 323.235i | 0.0862520 | − | 0.661013i | ||||
\(490\) | −13.4819 | + | 27.4981i | −0.0275141 | + | 0.0561186i | ||||
\(491\) | −182.011 | + | 315.253i | −0.370695 | + | 0.642063i | −0.989673 | − | 0.143346i | \(-0.954214\pi\) |
0.618977 | + | 0.785409i | \(0.287547\pi\) | |||||||
\(492\) | −792.245 | − | 327.094i | −1.61025 | − | 0.664824i | ||||
\(493\) | −1.93562 | + | 7.22382i | −0.00392620 | + | 0.0146528i | ||||
\(494\) | 18.0662i | 0.0365713i | ||||||||
\(495\) | −354.484 | − | 525.276i | −0.716130 | − | 1.06116i | ||||
\(496\) | 407.193 | 0.820953 | ||||||||
\(497\) | −316.796 | − | 84.8853i | −0.637417 | − | 0.170795i | ||||
\(498\) | −30.0751 | + | 3.99460i | −0.0603918 | + | 0.00802129i | ||||
\(499\) | −353.578 | − | 204.138i | −0.708573 | − | 0.409095i | 0.101960 | − | 0.994789i | \(-0.467489\pi\) |
−0.810532 | + | 0.585694i | \(0.800822\pi\) | |||||||
\(500\) | −222.212 | − | 442.859i | −0.444424 | − | 0.885717i | ||||
\(501\) | 568.734 | − | 742.953i | 1.13520 | − | 1.48294i | ||||
\(502\) | −78.7732 | − | 21.1072i | −0.156919 | − | 0.0420463i | ||||
\(503\) | 555.921 | + | 555.921i | 1.10521 | + | 1.10521i | 0.993771 | + | 0.111440i | \(0.0355462\pi\) |
0.111440 | + | 0.993771i | \(0.464454\pi\) | |||||||
\(504\) | −118.549 | + | 32.0571i | −0.235217 | + | 0.0636055i | ||||
\(505\) | −195.497 | + | 223.960i | −0.387123 | + | 0.443486i | ||||
\(506\) | 26.4014 | + | 45.7286i | 0.0521767 | + | 0.0903726i | ||||
\(507\) | −29.3606 | − | 12.1221i | −0.0579104 | − | 0.0239094i | ||||
\(508\) | −88.4400 | + | 23.6974i | −0.174095 | + | 0.0466485i | ||||
\(509\) | 453.968 | + | 262.098i | 0.891882 | + | 0.514928i | 0.874558 | − | 0.484922i | \(-0.161152\pi\) |
0.0173243 | + | 0.999850i | \(0.494485\pi\) | |||||||
\(510\) | −0.185089 | + | 2.98158i | −0.000362920 | + | 0.00584624i | ||||
\(511\) | 18.5432 | + | 32.1178i | 0.0362881 | + | 0.0628528i | ||||
\(512\) | 165.919 | − | 165.919i | 0.324061 | − | 0.324061i | ||||
\(513\) | −73.8735 | − | 176.623i | −0.144003 | − | 0.344295i | ||||
\(514\) | 70.0445i | 0.136273i | ||||||||
\(515\) | 219.370 | + | 326.679i | 0.425961 | + | 0.634328i | ||||
\(516\) | 147.081 | + | 19.1918i | 0.285041 | + | 0.0371935i | ||||
\(517\) | −195.811 | − | 730.775i | −0.378744 | − | 1.41349i | ||||
\(518\) | 53.8679 | − | 14.4339i | 0.103992 | − | 0.0278646i | ||||
\(519\) | 552.479 | − | 229.588i | 1.06451 | − | 0.442366i | ||||
\(520\) | 19.5634 | − | 99.5499i | 0.0376219 | − | 0.191442i | ||||
\(521\) | −694.042 | −1.33213 | −0.666067 | − | 0.745892i | \(-0.732023\pi\) | ||||
−0.666067 | + | 0.745892i | \(0.732023\pi\) | |||||||
\(522\) | −0.0280527 | − | 12.2165i | −5.37408e−5 | − | 0.0234033i | ||||
\(523\) | 244.233 | + | 244.233i | 0.466985 | + | 0.466985i | 0.900936 | − | 0.433951i | \(-0.142881\pi\) |
−0.433951 | + | 0.900936i | \(0.642881\pi\) | |||||||
\(524\) | 189.524 | − | 109.422i | 0.361687 | − | 0.208820i | ||||
\(525\) | 587.282 | + | 334.575i | 1.11863 | + | 0.637286i | ||||
\(526\) | −6.27198 | + | 10.8634i | −0.0119239 | + | 0.0206528i | ||||
\(527\) | 7.09137 | + | 26.4653i | 0.0134561 | + | 0.0502189i | ||||
\(528\) | −651.950 | + | 86.5925i | −1.23475 | + | 0.164001i | ||||
\(529\) | −121.283 | + | 70.0227i | −0.229268 | + | 0.132368i | ||||
\(530\) | −15.2864 | + | 17.5120i | −0.0288422 | + | 0.0330415i | ||||
\(531\) | −201.917 | + | 202.846i | −0.380258 | + | 0.382008i | ||||
\(532\) | −179.108 | + | 179.108i | −0.336669 | + | 0.336669i | ||||
\(533\) | −249.997 | + | 933.001i | −0.469037 | + | 1.75047i | ||||
\(534\) | 11.8738 | − | 4.93428i | 0.0222356 | − | 0.00924022i | ||||
\(535\) | 321.810 | + | 157.779i | 0.601515 | + | 0.294913i | ||||
\(536\) | 50.2711 | − | 87.0720i | 0.0937893 | − | 0.162448i | ||||
\(537\) | 604.288 | − | 464.790i | 1.12530 | − | 0.865531i | ||||
\(538\) | −7.22994 | + | 26.9825i | −0.0134386 | + | 0.0501534i | ||||
\(539\) | − | 453.674i | − | 0.841696i | ||||||
\(540\) | 107.412 | + | 524.229i | 0.198911 | + | 0.970795i | ||||
\(541\) | −682.588 | −1.26172 | −0.630858 | − | 0.775899i | \(-0.717297\pi\) | ||||
−0.630858 | + | 0.775899i | \(0.717297\pi\) | |||||||
\(542\) | 8.26689 | + | 2.21511i | 0.0152526 | + | 0.00408691i | ||||
\(543\) | 433.474 | + | 563.573i | 0.798294 | + | 1.03789i | ||||
\(544\) | 8.17918 | + | 4.72225i | 0.0150353 | + | 0.00868061i | ||||
\(545\) | 226.311 | − | 77.4042i | 0.415250 | − | 0.142026i | ||||
\(546\) | 26.4338 | + | 63.6102i | 0.0484136 | + | 0.116502i | ||||
\(547\) | 62.4694 | + | 16.7386i | 0.114204 | + | 0.0306008i | 0.315468 | − | 0.948936i | \(-0.397838\pi\) |
−0.201265 | + | 0.979537i | \(0.564505\pi\) | |||||||
\(548\) | −549.504 | − | 549.504i | −1.00275 | − | 1.00275i | ||||
\(549\) | −707.751 | + | 191.384i | −1.28916 | + | 0.348605i | ||||
\(550\) | −53.2896 | − | 40.5018i | −0.0968901 | − | 0.0736396i | ||||
\(551\) | −25.3122 | − | 43.8421i | −0.0459387 | − | 0.0795682i | ||||
\(552\) | −11.7950 | − | 88.8042i | −0.0213678 | − | 0.160877i | ||||
\(553\) | 722.530 | − | 193.601i | 1.30656 | − | 0.350093i | ||||
\(554\) | −26.1382 | − | 15.0909i | −0.0471809 | − | 0.0272399i | ||||
\(555\) | −96.9003 | − | 478.512i | −0.174595 | − | 0.862184i | ||||
\(556\) | 188.887 | + | 327.162i | 0.339725 | + | 0.588421i | ||||
\(557\) | −66.9124 | + | 66.9124i | −0.120130 | + | 0.120130i | −0.764616 | − | 0.644486i | \(-0.777071\pi\) |
0.644486 | + | 0.764616i | \(0.277071\pi\) | |||||||
\(558\) | −22.4674 | − | 38.7091i | −0.0402641 | − | 0.0693711i | ||||
\(559\) | − | 167.156i | − | 0.299028i | ||||||
\(560\) | 582.354 | − | 391.060i | 1.03992 | − | 0.698322i | ||||
\(561\) | −16.9819 | − | 40.8652i | −0.0302708 | − | 0.0728436i | ||||
\(562\) | 3.25693 | + | 12.1550i | 0.00579525 | + | 0.0216282i | ||||
\(563\) | −137.436 | + | 36.8258i | −0.244113 | + | 0.0654099i | −0.378801 | − | 0.925478i | \(-0.623663\pi\) |
0.134688 | + | 0.990888i | \(0.456997\pi\) | |||||||
\(564\) | −82.6612 | + | 633.493i | −0.146562 | + | 1.12322i | ||||
\(565\) | −485.722 | − | 723.322i | −0.859686 | − | 1.28022i | ||||
\(566\) | −76.5264 | −0.135206 | ||||||||
\(567\) | −518.533 | − | 513.792i | −0.914521 | − | 0.906159i | ||||
\(568\) | −38.9637 | − | 38.9637i | −0.0685981 | − | 0.0685981i | ||||
\(569\) | 276.828 | − | 159.827i | 0.486517 | − | 0.280891i | −0.236611 | − | 0.971604i | \(-0.576037\pi\) |
0.723128 | + | 0.690714i | \(0.242703\pi\) | |||||||
\(570\) | −13.3855 | − | 15.1574i | −0.0234834 | − | 0.0265920i | ||||
\(571\) | −324.309 | + | 561.720i | −0.567967 | + | 0.983748i | 0.428800 | + | 0.903400i | \(0.358937\pi\) |
−0.996767 | + | 0.0803483i | \(0.974397\pi\) | |||||||
\(572\) | 193.608 | + | 722.555i | 0.338475 | + | 1.26321i | ||||
\(573\) | 62.5011 | − | 151.382i | 0.109077 | − | 0.264193i | ||||
\(574\) | 106.952 | − | 61.7486i | 0.186327 | − | 0.107576i | ||||
\(575\) | −298.343 | + | 392.540i | −0.518858 | + | 0.682679i | ||||
\(576\) | 526.756 | + | 139.848i | 0.914506 | + | 0.242792i | ||||
\(577\) | −519.616 | + | 519.616i | −0.900548 | + | 0.900548i | −0.995483 | − | 0.0949353i | \(-0.969736\pi\) |
0.0949353 | + | 0.995483i | \(0.469736\pi\) | |||||||
\(578\) | 14.1670 | − | 52.8721i | 0.0245104 | − | 0.0914742i | ||||
\(579\) | 476.980 | + | 365.130i | 0.823800 | + | 0.630622i | ||||
\(580\) | 45.7923 | + | 133.886i | 0.0789522 | + | 0.230837i | ||||
\(581\) | −239.683 | + | 415.144i | −0.412536 | + | 0.714533i | ||||
\(582\) | 2.62156 | + | 19.7376i | 0.00450440 | + | 0.0339134i | ||||
\(583\) | 89.1240 | − | 332.615i | 0.152871 | − | 0.570523i | ||||
\(584\) | 6.23095i | 0.0106694i | ||||||||
\(585\) | 570.146 | − | 196.468i | 0.974608 | − | 0.335843i | ||||
\(586\) | 41.2824 | 0.0704478 | ||||||||
\(587\) | −797.684 | − | 213.739i | −1.35892 | − | 0.364120i | −0.495498 | − | 0.868609i | \(-0.665014\pi\) |
−0.863418 | + | 0.504489i | \(0.831681\pi\) | |||||||
\(588\) | −146.200 | + | 354.106i | −0.248639 | + | 0.602222i | ||||
\(589\) | −160.621 | − | 92.7344i | −0.272701 | − | 0.157444i | ||||
\(590\) | −13.3083 | + | 27.1440i | −0.0225564 | + | 0.0460068i | ||||
\(591\) | −77.9834 | − | 10.1756i | −0.131952 | − | 0.0172177i | ||||
\(592\) | −489.432 | − | 131.143i | −0.826743 | − | 0.221525i | ||||
\(593\) | 329.014 | + | 329.014i | 0.554829 | + | 0.554829i | 0.927831 | − | 0.373002i | \(-0.121671\pi\) |
−0.373002 | + | 0.927831i | \(0.621671\pi\) | |||||||
\(594\) | 44.2039 | + | 57.1987i | 0.0744174 | + | 0.0962941i | ||||
\(595\) | 35.5587 | + | 31.0395i | 0.0597625 | + | 0.0521672i | ||||
\(596\) | 515.699 | + | 893.218i | 0.865267 | + | 1.49869i | ||||
\(597\) | 490.053 | − | 376.926i | 0.820860 | − | 0.631366i | ||||
\(598\) | −48.5366 | + | 13.0053i | −0.0811648 | + | 0.0217480i | ||||
\(599\) | 445.587 | + | 257.260i | 0.743885 | + | 0.429482i | 0.823480 | − | 0.567345i | \(-0.192029\pi\) |
−0.0795952 | + | 0.996827i | \(0.525363\pi\) | |||||||
\(600\) | 57.3446 | + | 98.0165i | 0.0955743 | + | 0.163361i | ||||
\(601\) | −19.7478 | − | 34.2041i | −0.0328582 | − | 0.0569121i | 0.849129 | − | 0.528186i | \(-0.177128\pi\) |
−0.881987 | + | 0.471274i | \(0.843794\pi\) | |||||||
\(602\) | −15.1122 | + | 15.1122i | −0.0251033 | + | 0.0251033i | ||||
\(603\) | 597.626 | − | 1.37232i | 0.991087 | − | 0.00227583i | ||||
\(604\) | 1021.99i | 1.69204i | ||||||||
\(605\) | 379.287 | + | 74.5370i | 0.626921 | + | 0.123202i | ||||
\(606\) | 20.6137 | − | 26.9282i | 0.0340159 | − | 0.0444360i | ||||
\(607\) | 104.659 | + | 390.594i | 0.172421 | + | 0.643483i | 0.996977 | + | 0.0777026i | \(0.0247585\pi\) |
−0.824556 | + | 0.565781i | \(0.808575\pi\) | |||||||
\(608\) | −61.7533 | + | 16.5468i | −0.101568 | + | 0.0272151i | ||||
\(609\) | −153.271 | − | 117.330i | −0.251677 | − | 0.192660i | ||||
\(610\) | −64.2903 | + | 43.1720i | −0.105394 | + | 0.0707738i | ||||
\(611\) | 719.960 | 1.17833 | ||||||||
\(612\) | 0.0858104 | + | 37.3691i | 0.000140213 | + | 0.0610606i | ||||
\(613\) | −559.593 | − | 559.593i | −0.912876 | − | 0.912876i | 0.0836213 | − | 0.996498i | \(-0.473351\pi\) |
−0.996498 | + | 0.0836213i | \(0.973351\pi\) | |||||||
\(614\) | 51.0172 | − | 29.4548i | 0.0830898 | − | 0.0479719i | ||||
\(615\) | −481.530 | − | 968.008i | −0.782975 | − | 1.57400i | ||||
\(616\) | 96.0775 | − | 166.411i | 0.155970 | − | 0.270148i | ||||
\(617\) | 90.4285 | + | 337.484i | 0.146562 | + | 0.546976i | 0.999681 | + | 0.0252596i | \(0.00804123\pi\) |
−0.853119 | + | 0.521716i | \(0.825292\pi\) | |||||||
\(618\) | −27.3671 | − | 35.5809i | −0.0442834 | − | 0.0575742i | ||||
\(619\) | −384.591 | + | 222.044i | −0.621311 | + | 0.358714i | −0.777379 | − | 0.629032i | \(-0.783451\pi\) |
0.156068 | + | 0.987746i | \(0.450118\pi\) | |||||||
\(620\) | 390.542 | + | 340.908i | 0.629907 | + | 0.549852i | ||||
\(621\) | 421.335 | − | 325.614i | 0.678479 | − | 0.524338i | ||||
\(622\) | 18.5115 | − | 18.5115i | 0.0297613 | − | 0.0297613i | ||||
\(623\) | 52.5825 | − | 196.241i | 0.0844021 | − | 0.314993i | ||||
\(624\) | 80.9792 | − | 620.603i | 0.129774 | − | 0.994557i | ||||
\(625\) | 156.192 | − | 605.169i | 0.249907 | − | 0.968270i | ||||
\(626\) | −0.627350 | + | 1.08660i | −0.00100216 | + | 0.00173579i | ||||
\(627\) | 276.888 | + | 114.319i | 0.441608 | + | 0.182326i | ||||
\(628\) | −47.6857 | + | 177.965i | −0.0759326 | + | 0.283384i | ||||
\(629\) | − | 34.0943i | − | 0.0542040i | ||||||
\(630\) | −69.3076 | − | 33.7833i | −0.110012 | − | 0.0536242i | ||||
\(631\) | −181.428 | −0.287524 | −0.143762 | − | 0.989612i | \(-0.545920\pi\) | ||||
−0.143762 | + | 0.989612i | \(0.545920\pi\) | |||||||
\(632\) | 121.393 | + | 32.5273i | 0.192078 | + | 0.0514672i | ||||
\(633\) | −721.901 | + | 95.8834i | −1.14044 | + | 0.151475i | ||||
\(634\) | −72.8343 | − | 42.0509i | −0.114881 | − | 0.0663264i | ||||
\(635\) | −103.700 | − | 50.8427i | −0.163308 | − | 0.0800673i | ||||
\(636\) | −176.751 | + | 230.895i | −0.277911 | + | 0.363043i | ||||
\(637\) | 417.019 | + | 111.740i | 0.654661 | + | 0.175416i | ||||
\(638\) | 13.5164 | + | 13.5164i | 0.0211856 | + | 0.0211856i | ||||
\(639\) | 84.0456 | − | 316.568i | 0.131527 | − | 0.495412i | ||||
\(640\) | 237.345 | − | 16.1056i | 0.370851 | − | 0.0251650i | ||||
\(641\) | 44.3645 | + | 76.8416i | 0.0692114 | + | 0.119878i | 0.898554 | − | 0.438862i | \(-0.144618\pi\) |
−0.829343 | + | 0.558740i | \(0.811285\pi\) | |||||||
\(642\) | −37.7909 | − | 15.6027i | −0.0588643 | − | 0.0243032i | ||||
\(643\) | −414.879 | + | 111.166i | −0.645224 | + | 0.172887i | −0.566568 | − | 0.824015i | \(-0.691729\pi\) |
−0.0786553 | + | 0.996902i | \(0.525063\pi\) | |||||||
\(644\) | −610.125 | − | 352.256i | −0.947399 | − | 0.546981i | ||||
\(645\) | 123.849 | + | 140.243i | 0.192014 | + | 0.217431i | ||||
\(646\) | −0.706077 | − | 1.22296i | −0.00109300 | − | 0.00189313i | ||||
\(647\) | 237.290 | − | 237.290i | 0.366755 | − | 0.366755i | −0.499537 | − | 0.866292i | \(-0.666497\pi\) |
0.866292 | + | 0.499537i | \(0.166497\pi\) | |||||||
\(648\) | −32.2862 | − | 118.318i | −0.0498244 | − | 0.182589i | ||||
\(649\) | − | 447.832i | − | 0.690034i | ||||||
\(650\) | 50.3547 | − | 39.0084i | 0.0774687 | − | 0.0600130i | ||||
\(651\) | −701.223 | − | 91.4988i | −1.07715 | − | 0.140551i | ||||
\(652\) | −111.475 | − | 416.030i | −0.170974 | − | 0.638083i | ||||
\(653\) | −777.291 | + | 208.275i | −1.19034 | + | 0.318950i | −0.799020 | − | 0.601305i | \(-0.794648\pi\) |
−0.391319 | + | 0.920255i | \(0.627981\pi\) | |||||||
\(654\) | −25.1956 | + | 10.4703i | −0.0385255 | + | 0.0160096i | ||||
\(655\) | 270.868 | + | 53.2305i | 0.413539 | + | 0.0812680i | ||||
\(656\) | −1122.07 | −1.71047 | ||||||||
\(657\) | −32.0324 | + | 18.5921i | −0.0487556 | + | 0.0282985i | ||||
\(658\) | −65.0897 | − | 65.0897i | −0.0989206 | − | 0.0989206i | ||||
\(659\) | −407.245 | + | 235.123i | −0.617974 | + | 0.356787i | −0.776080 | − | 0.630635i | \(-0.782795\pi\) |
0.158106 | + | 0.987422i | \(0.449461\pi\) | |||||||
\(660\) | −697.788 | − | 462.771i | −1.05725 | − | 0.701168i | ||||
\(661\) | 379.580 | − | 657.451i | 0.574251 | − | 0.994631i | −0.421872 | − | 0.906655i | \(-0.638627\pi\) |
0.996123 | − | 0.0879760i | \(-0.0280399\pi\) | |||||||
\(662\) | 12.8778 | + | 48.0606i | 0.0194528 | + | 0.0725990i | ||||
\(663\) | 41.7462 | − | 5.54476i | 0.0629656 | − | 0.00836313i | ||||
\(664\) | −69.7489 | + | 40.2696i | −0.105044 | + | 0.0606469i | ||||
\(665\) | −318.775 | + | 21.6313i | −0.479361 | + | 0.0325283i | ||||
\(666\) | 14.5381 | + | 53.7630i | 0.0218290 | + | 0.0807252i | ||||
\(667\) | 99.5643 | − | 99.5643i | 0.149272 | − | 0.149272i | ||||
\(668\) | 319.967 | − | 1194.13i | 0.478992 | − | 1.78762i | ||||
\(669\) | 570.048 | − | 236.889i | 0.852090 | − | 0.354094i | ||||
\(670\) | 59.7272 | − | 20.4282i | 0.0891450 | − | 0.0304899i | ||||
\(671\) | 573.592 | − | 993.490i | 0.854832 | − | 1.48061i | ||||
\(672\) | −193.220 | + | 148.616i | −0.287529 | + | 0.221154i | ||||
\(673\) | −326.337 | + | 1217.91i | −0.484899 | + | 1.80967i | 0.0956152 | + | 0.995418i | \(0.469518\pi\) |
−0.580514 | + | 0.814250i | \(0.697148\pi\) | |||||||
\(674\) | 27.7198i | 0.0411273i | ||||||||
\(675\) | −332.782 | + | 587.266i | −0.493011 | + | 0.870023i | ||||
\(676\) | −41.9700 | −0.0620858 | ||||||||
\(677\) | −96.3967 | − | 25.8294i | −0.142388 | − | 0.0381528i | 0.186921 | − | 0.982375i | \(-0.440149\pi\) |
−0.329309 | + | 0.944222i | \(0.606816\pi\) | |||||||
\(678\) | 60.5954 | + | 78.7820i | 0.0893738 | + | 0.116198i | ||||
\(679\) | 272.449 | + | 157.298i | 0.401250 | + | 0.231662i | ||||
\(680\) | 2.56637 | + | 7.50345i | 0.00377408 | + | 0.0110345i | ||||
\(681\) | 214.318 | + | 515.734i | 0.314711 | + | 0.757319i | ||||
\(682\) | 67.6443 | + | 18.1252i | 0.0991852 | + | 0.0265766i | ||||
\(683\) | 366.381 | + | 366.381i | 0.536430 | + | 0.536430i | 0.922478 | − | 0.386049i | \(-0.126160\pi\) |
−0.386049 | + | 0.922478i | \(0.626160\pi\) | |||||||
\(684\) | −179.280 | − | 178.458i | −0.262105 | − | 0.260904i | ||||
\(685\) | −66.3650 | − | 978.005i | −0.0968832 | − | 1.42774i | ||||
\(686\) | 14.3787 | + | 24.9047i | 0.0209602 | + | 0.0363042i | ||||
\(687\) | −71.4727 | − | 538.114i | −0.104036 | − | 0.783281i | ||||
\(688\) | 187.563 | − | 50.2575i | 0.272621 | − | 0.0730486i | ||||
\(689\) | 283.790 | + | 163.846i | 0.411887 | + | 0.237803i | ||||
\(690\) | 31.0860 | − | 46.8729i | 0.0450521 | − | 0.0679318i | ||||
\(691\) | −298.133 | − | 516.381i | −0.431451 | − | 0.747296i | 0.565547 | − | 0.824716i | \(-0.308665\pi\) |
−0.996999 | + | 0.0774204i | \(0.975332\pi\) | |||||||
\(692\) | 558.971 | − | 558.971i | 0.807761 | − | 0.807761i | ||||
\(693\) | 1142.18 | − | 2.62277i | 1.64816 | − | 0.00378466i | ||||
\(694\) | 1.92499i | 0.00277376i | ||||||||
\(695\) | −91.8883 | + | 467.581i | −0.132213 | + | 0.672778i | ||||
\(696\) | −12.4449 | − | 29.9474i | −0.0178806 | − | 0.0430279i | ||||
\(697\) | −19.5411 | − | 72.9284i | −0.0280360 | − | 0.104632i | ||||
\(698\) | −19.9559 | + | 5.34718i | −0.0285902 | + | 0.00766071i | ||||
\(699\) | −66.0000 | + | 505.806i | −0.0944206 | + | 0.723614i | ||||
\(700\) | 885.943 | + | 112.486i | 1.26563 | + | 0.160695i | ||||
\(701\) | 147.235 | 0.210036 | 0.105018 | − | 0.994470i | \(-0.466510\pi\) | ||||
0.105018 | + | 0.994470i | \(0.466510\pi\) | |||||||
\(702\) | −63.4647 | + | 26.5444i | −0.0904056 | + | 0.0378126i | ||||
\(703\) | 163.194 | + | 163.194i | 0.232140 | + | 0.232140i | ||||
\(704\) | −738.513 | + | 426.381i | −1.04902 | + | 0.605654i | ||||
\(705\) | −604.041 | + | 533.430i | −0.856796 | + | 0.756638i | ||||
\(706\) | −45.9731 | + | 79.6277i | −0.0651177 | + | 0.112787i | ||||
\(707\) | −138.681 | − | 517.565i | −0.196154 | − | 0.732058i | ||||
\(708\) | −144.317 | + | 349.546i | −0.203837 | + | 0.493710i | ||||
\(709\) | −123.232 | + | 71.1480i | −0.173811 | + | 0.100350i | −0.584382 | − | 0.811479i | \(-0.698663\pi\) |
0.410571 | + | 0.911829i | \(0.365330\pi\) | |||||||
\(710\) | −2.34219 | − | 34.5163i | −0.00329886 | − | 0.0486145i | ||||
\(711\) | 195.000 | + | 721.122i | 0.274262 | + | 1.01424i | ||||
\(712\) | 24.1362 | − | 24.1362i | 0.0338992 | − | 0.0338992i | ||||
\(713\) | 133.514 | − | 498.280i | 0.187256 | − | 0.698849i | ||||
\(714\) | −4.27545 | − | 3.27288i | −0.00598803 | − | 0.00458386i | ||||
\(715\) | −415.385 | + | 847.232i | −0.580958 | + | 1.18494i | ||||
\(716\) | 503.648 | − | 872.343i | 0.703418 | − | 1.21836i | ||||
\(717\) | 151.481 | + | 1140.49i | 0.211270 | + | 1.59064i | ||||
\(718\) | −13.7320 | + | 51.2486i | −0.0191254 | + | 0.0713769i | ||||
\(719\) | − | 1075.81i | − | 1.49626i | −0.663555 | − | 0.748128i | \(-0.730953\pi\) | ||
0.663555 | − | 0.748128i | \(-0.269047\pi\) | |||||||
\(720\) | 391.874 | + | 580.681i | 0.544270 | + | 0.806501i | ||||
\(721\) | −709.245 | −0.983696 | ||||||||
\(722\) | −57.0627 | − | 15.2899i | −0.0790342 | − | 0.0211771i | ||||
\(723\) | 373.097 | − | 903.670i | 0.516041 | − | 1.24989i | ||||
\(724\) | 813.567 | + | 469.713i | 1.12371 | + | 0.648775i | ||||
\(725\) | −67.5439 | + | 165.215i | −0.0931640 | + | 0.227882i | ||||
\(726\) | −43.7239 | − | 5.70530i | −0.0602257 | − | 0.00785853i | ||||
\(727\) | 696.238 | + | 186.556i | 0.957687 | + | 0.256611i | 0.703621 | − | 0.710576i | \(-0.251565\pi\) |
0.254066 | + | 0.967187i | \(0.418232\pi\) | |||||||
\(728\) | 129.302 | + | 129.302i | 0.177613 | + | 0.177613i | ||||
\(729\) | 511.918 | − | 519.020i | 0.702219 | − | 0.711961i | ||||
\(730\) | −2.57259 | + | 2.94715i | −0.00352410 | + | 0.00403718i | ||||
\(731\) | 6.53293 | + | 11.3154i | 0.00893698 | + | 0.0154793i | ||||
\(732\) | −767.865 | + | 590.605i | −1.04900 | + | 0.806838i | ||||
\(733\) | 1179.49 | − | 316.043i | 1.60913 | − | 0.431164i | 0.661345 | − | 0.750082i | \(-0.269986\pi\) |
0.947782 | + | 0.318918i | \(0.103319\pi\) | |||||||
\(734\) | 29.4125 | + | 16.9813i | 0.0400715 | + | 0.0231353i | ||||
\(735\) | −432.666 | + | 215.227i | −0.588661 | + | 0.292826i | ||||
\(736\) | −88.9088 | − | 153.995i | −0.120800 | − | 0.209232i | ||||
\(737\) | −661.216 | + | 661.216i | −0.897173 | + | 0.897173i | ||||
\(738\) | 61.9115 | + | 106.668i | 0.0838910 | + | 0.144536i | ||||
\(739\) | − | 683.603i | − | 0.925038i | −0.886609 | − | 0.462519i | \(-0.846946\pi\) | ||
0.886609 | − | 0.462519i | \(-0.153054\pi\) | |||||||
\(740\) | −359.624 | − | 535.540i | −0.485978 | − | 0.723703i | ||||
\(741\) | −173.280 | + | 226.360i | −0.233846 | + | 0.305479i | ||||
\(742\) | −10.8438 | − | 40.4697i | −0.0146143 | − | 0.0545413i | ||||
\(743\) | −763.713 | + | 204.636i | −1.02788 | + | 0.275419i | −0.733081 | − | 0.680141i | \(-0.761919\pi\) |
−0.294797 | + | 0.955560i | \(0.595252\pi\) | |||||||
\(744\) | −94.3431 | − | 72.2201i | −0.126805 | − | 0.0970700i | ||||
\(745\) | −250.873 | + | 1276.59i | −0.336743 | + | 1.71354i | ||||
\(746\) | −16.6900 | −0.0223727 | ||||||||
\(747\) | −415.140 | − | 238.412i | −0.555742 | − | 0.319159i | ||||
\(748\) | −41.3454 | − | 41.3454i | −0.0552746 | − | 0.0552746i | ||||
\(749\) | −559.447 | + | 322.997i | −0.746925 | + | 0.431238i | ||||
\(750\) | −13.3452 | + | 70.0364i | −0.0177937 | + | 0.0933818i | ||||
\(751\) | 326.862 | − | 566.142i | 0.435236 | − | 0.753851i | −0.562079 | − | 0.827084i | \(-0.689998\pi\) |
0.997315 | + | 0.0732329i | \(0.0233317\pi\) | |||||||
\(752\) | 216.464 | + | 807.855i | 0.287851 | + | 1.07427i | ||||
\(753\) | −784.541 | − | 1020.01i | −1.04189 | − | 1.35459i | ||||
\(754\) | −15.7535 | + | 9.09526i | −0.0208932 | + | 0.0120627i | ||||
\(755\) | −847.754 | + | 971.182i | −1.12285 | + | 1.28633i | ||||
\(756\) | −892.348 | − | 366.027i | −1.18035 | − | 0.484163i | ||||
\(757\) | 668.868 | − | 668.868i | 0.883577 | − | 0.883577i | −0.110319 | − | 0.993896i | \(-0.535187\pi\) |
0.993896 | + | 0.110319i | \(0.0351874\pi\) | |||||||
\(758\) | −0.510741 | + | 1.90611i | −0.000673800 | + | 0.00251466i | ||||
\(759\) | −107.804 | + | 826.181i | −0.142034 | + | 1.08851i | ||||
\(760\) | −48.1997 | − | 23.6316i | −0.0634206 | − | 0.0310942i | ||||
\(761\) | 478.705 | − | 829.141i | 0.629047 | − | 1.08954i | −0.358696 | − | 0.933454i | \(-0.616779\pi\) |
0.987743 | − | 0.156087i | \(-0.0498881\pi\) | |||||||
\(762\) | 12.1778 | + | 5.02782i | 0.0159813 | + | 0.00659819i | ||||
\(763\) | −111.577 | + | 416.413i | −0.146235 | + | 0.545757i | ||||
\(764\) | − | 216.396i | − | 0.283241i | ||||||
\(765\) | −30.9165 | + | 35.5824i | −0.0404138 | + | 0.0465130i | ||||
\(766\) | −24.4926 | −0.0319747 | ||||||||
\(767\) | 411.649 | + | 110.301i | 0.536700 | + | 0.143808i | ||||
\(768\) | 693.444 | − | 92.1038i | 0.902922 | − | 0.119927i | ||||
\(769\) | −435.970 | − | 251.708i | −0.566932 | − | 0.327318i | 0.188991 | − | 0.981979i | \(-0.439478\pi\) |
−0.755923 | + | 0.654661i | \(0.772812\pi\) | |||||||
\(770\) | 114.150 | − | 39.0422i | 0.148247 | − | 0.0507041i | ||||
\(771\) | −671.823 | + | 877.621i | −0.871365 | + | 1.13829i | ||||
\(772\) | 766.640 | + | 205.421i | 0.993057 | + | 0.266089i | ||||
\(773\) | −362.267 | − | 362.267i | −0.468651 | − | 0.468651i | 0.432827 | − | 0.901477i | \(-0.357516\pi\) |
−0.901477 | + | 0.432827i | \(0.857516\pi\) | |||||||
\(774\) | −15.1267 | − | 15.0574i | −0.0195435 | − | 0.0194540i | ||||
\(775\) | 88.3390 | + | 647.918i | 0.113986 | + | 0.836024i | ||||
\(776\) | 26.4279 | + | 45.7745i | 0.0340566 | + | 0.0589878i | ||||
\(777\) | 813.378 | + | 335.819i | 1.04682 | + | 0.432199i | ||||
\(778\) | 134.731 | − | 36.1011i | 0.173176 | − | 0.0464024i | ||||
\(779\) | 442.610 | + | 255.541i | 0.568177 | + | 0.328037i | ||||
\(780\) | 597.247 | − | 527.430i | 0.765701 | − | 0.676192i | ||||
\(781\) | 256.245 | + | 443.830i | 0.328099 | + | 0.568284i | ||||
\(782\) | 2.77732 | − | 2.77732i | 0.00355155 | − | 0.00355155i | ||||
\(783\) | 116.822 | − | 153.336i | 0.149198 | − | 0.195831i | ||||
\(784\) | 501.526i | 0.639701i | ||||||||
\(785\) | −192.939 | + | 129.562i | −0.245782 | + | 0.165047i | ||||
\(786\) | −31.2254 | − | 4.07443i | −0.0397270 | − | 0.00518376i | ||||
\(787\) | 134.565 | + | 502.205i | 0.170985 | + | 0.638126i | 0.997201 | + | 0.0747716i | \(0.0238228\pi\) |
−0.826215 | + | 0.563354i | \(0.809511\pi\) | |||||||
\(788\) | −100.371 | + | 26.8943i | −0.127374 | + | 0.0341299i | ||||
\(789\) | −182.779 | + | 75.9557i | −0.231659 | + | 0.0962683i | ||||
\(790\) | 43.9876 | + | 65.5050i | 0.0556806 | + | 0.0829177i | ||||
\(791\) | 1570.39 | 1.98532 | ||||||||
\(792\) | 166.409 | + | 95.5677i | 0.210113 | + | 0.120666i | ||||
\(793\) | 771.945 | + | 771.945i | 0.973449 | + | 0.973449i | ||||
\(794\) | −35.2207 | + | 20.3347i | −0.0443585 | + | 0.0256104i | ||||
\(795\) | −359.494 | + | 72.7988i | −0.452194 | + | 0.0915708i | ||||
\(796\) | 408.438 | − | 707.435i | 0.513113 | − | 0.888737i | ||||
\(797\) | 72.1737 | + | 269.356i | 0.0905567 | + | 0.337962i | 0.996308 | − | 0.0858466i | \(-0.0273595\pi\) |
−0.905752 | + | 0.423809i | \(0.860693\pi\) | |||||||
\(798\) | 36.1304 | − | 4.79887i | 0.0452762 | − | 0.00601362i | ||||
\(799\) | −48.7365 | + | 28.1380i | −0.0609968 | + | 0.0352165i | ||||
\(800\) | 179.457 | + | 136.393i | 0.224321 | + | 0.170491i | ||||
\(801\) | 196.099 | + | 52.0623i | 0.244818 | + | 0.0649967i | ||||
\(802\) | 0.879908 | − | 0.879908i | 0.00109714 | − | 0.00109714i | ||||
\(803\) | 14.9989 | − | 55.9768i | 0.0186786 | − | 0.0697096i | ||||
\(804\) | 729.181 | − | 303.018i | 0.906941 | − | 0.376888i | ||||
\(805\) | −287.592 | − | 840.848i | −0.357257 | − | 1.04453i | ||||
\(806\) | −33.3216 | + | 57.7147i | −0.0413419 | + | 0.0716063i | ||||
\(807\) | −349.387 | + | 268.732i | −0.432945 | + | 0.333001i | ||||
\(808\) | 23.3000 | − | 86.9569i | 0.0288367 | − | 0.107620i | ||||
\(809\) | − | 423.966i | − | 0.524062i | −0.965060 | − | 0.262031i | \(-0.915608\pi\) | ||
0.965060 | − | 0.262031i | \(-0.0843922\pi\) | |||||||
\(810\) | 33.5793 | − | 69.2926i | 0.0414559 | − | 0.0855464i | ||||
\(811\) | −1163.79 | −1.43501 | −0.717506 | − | 0.696552i | \(-0.754716\pi\) | ||||
−0.717506 | + | 0.696552i | \(0.754716\pi\) | |||||||
\(812\) | −246.350 | − | 66.0092i | −0.303386 | − | 0.0812921i | ||||
\(813\) | 82.3340 | + | 107.045i | 0.101272 | + | 0.131667i | ||||
\(814\) | −75.4686 | − | 43.5718i | −0.0927133 | − | 0.0535281i | ||||
\(815\) | 239.169 | − | 487.816i | 0.293459 | − | 0.598548i | ||||
\(816\) | 18.7731 | + | 45.1756i | 0.0230063 | + | 0.0553622i | ||||
\(817\) | −85.4317 | − | 22.8914i | −0.104568 | − | 0.0280188i | ||||
\(818\) | −99.2357 | − | 99.2357i | −0.121315 | − | 0.121315i | ||||
\(819\) | −278.907 | + | 1050.54i | −0.340546 | + | 1.28271i | ||||
\(820\) | −1076.19 | − | 939.413i | −1.31242 | − | 1.14563i | ||||
\(821\) | −382.915 | − | 663.228i | −0.466400 | − | 0.807829i | 0.532863 | − | 0.846202i | \(-0.321116\pi\) |
−0.999264 | + | 0.0383722i | \(0.987783\pi\) | |||||||
\(822\) | 14.7230 | + | 110.848i | 0.0179112 | + | 0.134852i | ||||
\(823\) | −955.510 | + | 256.028i | −1.16101 | + | 0.311091i | −0.787369 | − | 0.616482i | \(-0.788557\pi\) |
−0.373640 | + | 0.927574i | \(0.621891\pi\) | |||||||
\(824\) | −103.197 | − | 59.5806i | −0.125239 | − | 0.0723066i | ||||
\(825\) | −279.223 | − | 1018.59i | −0.338452 | − | 1.23465i | ||||
\(826\) | −27.2441 | − | 47.1882i | −0.0329832 | − | 0.0571286i | ||||
\(827\) | −260.100 | + | 260.100i | −0.314510 | + | 0.314510i | −0.846654 | − | 0.532144i | \(-0.821387\pi\) |
0.532144 | + | 0.846654i | \(0.321387\pi\) | |||||||
\(828\) | 350.387 | − | 610.119i | 0.423172 | − | 0.736858i | ||||
\(829\) | 325.275i | 0.392370i | 0.980567 | + | 0.196185i | \(0.0628553\pi\) | ||||
−0.980567 | + | 0.196185i | \(0.937145\pi\) | |||||||
\(830\) | −49.6164 | − | 9.75055i | −0.0597788 | − | 0.0117476i | ||||
\(831\) | −182.756 | − | 439.783i | −0.219923 | − | 0.529221i | ||||
\(832\) | −210.035 | − | 783.862i | −0.252446 | − | 0.942142i | ||||
\(833\) | −32.5965 | + | 8.73421i | −0.0391315 | + | 0.0104852i | ||||
\(834\) | 7.03342 | − | 53.9023i | 0.00843336 | − | 0.0646310i | ||||
\(835\) | 1294.61 | − | 869.349i | 1.55043 | − | 1.04114i | ||||
\(836\) | 395.803 | 0.473449 | ||||||||
\(837\) | 89.7687 | − | 700.497i | 0.107251 | − | 0.836914i | ||||
\(838\) | 36.5387 | + | 36.5387i | 0.0436022 | + | 0.0436022i | ||||
\(839\) | −81.4767 | + | 47.0406i | −0.0971116 | + | 0.0560674i | −0.547769 | − | 0.836629i | \(-0.684523\pi\) |
0.450658 | + | 0.892697i | \(0.351190\pi\) | |||||||
\(840\) | −204.285 | − | 12.6815i | −0.243197 | − | 0.0150971i | ||||
\(841\) | −395.014 | + | 684.184i | −0.469695 | + | 0.813536i | ||||
\(842\) | −10.1364 | − | 37.8296i | −0.0120385 | − | 0.0449283i | ||||
\(843\) | −75.7757 | + | 183.535i | −0.0898882 | + | 0.217716i | ||||
\(844\) | −833.301 | + | 481.107i | −0.987323 | + | 0.570031i | ||||
\(845\) | −39.8834 | − | 34.8146i | −0.0471993 | − | 0.0412007i | ||||
\(846\) | 64.8536 | − | 65.1522i | 0.0766591 | − | 0.0770120i | ||||
\(847\) | −492.644 | + | 492.644i | −0.581633 | + | 0.581633i | ||||
\(848\) | −98.5244 | + | 367.698i | −0.116184 | + | 0.433606i | ||||
\(849\) | −958.837 | − | 733.994i | −1.12937 | − | 0.864539i | ||||
\(850\) | −1.88412 | + | 4.60861i | −0.00221661 | + | 0.00542189i | ||||
\(851\) | −320.958 | + | 555.915i | −0.377154 | + | 0.653249i | ||||
\(852\) | −56.9800 | − | 428.999i | −0.0668779 | − | 0.503520i | ||||
\(853\) | 263.924 | − | 984.979i | 0.309407 | − | 1.15472i | −0.619678 | − | 0.784856i | \(-0.712737\pi\) |
0.929085 | − | 0.369867i | \(-0.120597\pi\) | |||||||
\(854\) | − | 139.579i | − | 0.163442i | ||||||
\(855\) | −22.3335 | − | 318.300i | −0.0261210 | − | 0.372281i | ||||
\(856\) | −108.534 | −0.126793 | ||||||||
\(857\) | 1522.95 | + | 408.073i | 1.77707 | + | 0.476164i | 0.990044 | − | 0.140756i | \(-0.0449532\pi\) |
0.787026 | + | 0.616920i | \(0.211620\pi\) | |||||||
\(858\) | 41.0773 | − | 99.4922i | 0.0478756 | − | 0.115958i | ||||
\(859\) | −507.067 | − | 292.755i | −0.590299 | − | 0.340809i | 0.174917 | − | 0.984583i | \(-0.444034\pi\) |
−0.765216 | + | 0.643774i | \(0.777368\pi\) | |||||||
\(860\) | 221.970 | + | 108.829i | 0.258105 | + | 0.126545i | ||||
\(861\) | 1932.30 | + | 252.136i | 2.24426 | + | 0.292841i | ||||
\(862\) | 43.7939 | + | 11.7345i | 0.0508050 | + | 0.0136132i | ||||
\(863\) | −550.423 | − | 550.423i | −0.637802 | − | 0.637802i | 0.312211 | − | 0.950013i | \(-0.398930\pi\) |
−0.950013 | + | 0.312211i | \(0.898930\pi\) | |||||||
\(864\) | −148.860 | − | 192.621i | −0.172292 | − | 0.222941i | ||||
\(865\) | 994.853 | − | 67.5082i | 1.15012 | − | 0.0780442i | ||||
\(866\) | −10.7144 | − | 18.5579i | −0.0123723 | − | 0.0214294i | ||||
\(867\) | 684.622 | − | 526.579i | 0.789644 | − | 0.607357i | ||||
\(868\) | −902.531 | + | 241.833i | −1.03978 | + | 0.278609i | ||||
\(869\) | −1012.26 | − | 584.429i | −1.16486 | − | 0.672530i | ||||
\(870\) | 6.47821 | − | 19.3029i | 0.00744622 | − | 0.0221872i | ||||
\(871\) | −444.935 | − | 770.650i | −0.510833 | − | 0.884788i | ||||
\(872\) | −51.2158 | + | 51.2158i | −0.0587337 | + | 0.0587337i | ||||
\(873\) | −156.464 | + | 272.446i | −0.179225 | + | 0.312080i | ||||
\(874\) | 26.5875i | 0.0304205i | ||||||||
\(875\) | 748.589 | + | 841.794i | 0.855530 | + | 0.962050i | ||||
\(876\) | −29.7460 | + | 38.8581i | −0.0339567 | + | 0.0443585i | ||||
\(877\) | 236.500 | + | 882.630i | 0.269669 | + | 1.00642i | 0.959330 | + | 0.282287i | \(0.0910930\pi\) |
−0.689661 | + | 0.724133i | \(0.742240\pi\) | |||||||
\(878\) | −59.4017 | + | 15.9166i | −0.0676557 | + | 0.0181283i | ||||
\(879\) | 517.247 | + | 395.955i | 0.588450 | + | 0.450461i | ||||
\(880\) | −1075.55 | − | 211.366i | −1.22222 | − | 0.240189i | ||||
\(881\) | −459.689 | −0.521781 | −0.260891 | − | 0.965368i | \(-0.584016\pi\) | ||||
−0.260891 | + | 0.965368i | \(0.584016\pi\) | |||||||
\(882\) | 47.6767 | − | 27.6723i | 0.0540552 | − | 0.0313745i | ||||
\(883\) | 107.163 | + | 107.163i | 0.121362 | + | 0.121362i | 0.765179 | − | 0.643817i | \(-0.222650\pi\) |
−0.643817 | + | 0.765179i | \(0.722650\pi\) | |||||||
\(884\) | 48.1882 | − | 27.8215i | 0.0545116 | − | 0.0314723i | ||||
\(885\) | −427.095 | + | 212.456i | −0.482593 | + | 0.240063i | ||||
\(886\) | −71.8119 | + | 124.382i | −0.0810519 | + | 0.140386i | ||||
\(887\) | −172.159 | − | 642.507i | −0.194092 | − | 0.724360i | −0.992500 | − | 0.122244i | \(-0.960991\pi\) |
0.798408 | − | 0.602116i | \(-0.205676\pi\) | |||||||
\(888\) | 90.1376 | + | 117.191i | 0.101506 | + | 0.131972i | ||||
\(889\) | 180.277 | − | 104.083i | 0.202786 | − | 0.117078i | ||||
\(890\) | 21.3813 | − | 1.45088i | 0.0240239 | − | 0.00163020i | ||||
\(891\) | 5.23854 | + | 1140.65i | 0.00587940 | + | 1.28019i | ||||
\(892\) | 576.746 | − | 576.746i | 0.646576 | − | 0.646576i | ||||
\(893\) | 98.5954 | − | 367.963i | 0.110409 | − | 0.412053i | ||||
\(894\) | 19.2026 | − | 147.164i | 0.0214794 | − | 0.164613i | ||||
\(895\) | 1202.23 | − | 411.192i | 1.34327 | − | 0.459433i | ||||
\(896\) | −214.387 | + | 371.329i | −0.239271 | + | 0.414430i | ||||
\(897\) | −732.877 | − | 302.582i | −0.817031 | − | 0.337327i | ||||
\(898\) | 25.3288 | − | 94.5284i | 0.0282058 | − | 0.105266i | ||||
\(899\) | − | 186.745i | − | 0.207725i | ||||||
\(900\) | −110.305 | + | 885.019i | −0.122561 | + | 0.983355i | ||||
\(901\) | −25.6142 | −0.0284287 | ||||||||
\(902\) | −186.402 | − | 49.9463i | −0.206654 | − | 0.0553728i | ||||
\(903\) | −334.295 | + | 44.4012i | −0.370204 | + | 0.0491708i | ||||
\(904\) | 228.495 | + | 131.922i | 0.252760 | + | 0.145931i | ||||
\(905\) | 383.487 | + | 1121.22i | 0.423743 | + | 1.23892i | ||||
\(906\) | 89.3891 | − | 116.772i | 0.0986635 | − | 0.128887i | ||||
\(907\) | −804.640 | − | 215.603i | −0.887144 | − | 0.237710i | −0.213657 | − | 0.976909i | \(-0.568538\pi\) |
−0.673487 | + | 0.739199i | \(0.735204\pi\) | |||||||
\(908\) | 521.794 | + | 521.794i | 0.574663 | + | 0.574663i | ||||
\(909\) | 516.557 | − | 139.683i | 0.568269 | − | 0.153667i | ||||
\(910\) | 7.77262 | + | 114.543i | 0.00854134 | + | 0.125872i | ||||
\(911\) | −38.7954 | − | 67.1955i | −0.0425855 | − | 0.0737602i | 0.843947 | − | 0.536427i | \(-0.180226\pi\) |
−0.886533 | + | 0.462666i | \(0.846893\pi\) | |||||||
\(912\) | −306.093 | − | 126.376i | −0.335629 | − | 0.138571i | ||||
\(913\) | 723.538 | − | 193.871i | 0.792484 | − | 0.212345i | ||||
\(914\) | 93.8309 | + | 54.1733i | 0.102660 | + | 0.0592706i | ||||
\(915\) | −1219.60 | − | 75.7099i | −1.33290 | − | 0.0827430i | ||||
\(916\) | −358.623 | − | 621.153i | −0.391510 | − | 0.678115i | ||||
\(917\) | −351.821 | + | 351.821i | −0.383665 | + | 0.383665i | ||||
\(918\) | 3.25871 | − | 4.27725i | 0.00354979 | − | 0.00465932i | ||||
\(919\) | 1478.95i | 1.60930i | 0.593750 | + | 0.804650i | \(0.297647\pi\) | ||||
−0.593750 | + | 0.804650i | \(0.702353\pi\) | |||||||
\(920\) | 28.7909 | − | 146.505i | 0.0312944 | − | 0.159244i | ||||
\(921\) | 921.730 | + | 120.272i | 1.00079 | + | 0.130588i | ||||
\(922\) | 11.7443 | + | 43.8305i | 0.0127379 | + | 0.0475385i | ||||
\(923\) | −471.083 | + | 126.226i | −0.510383 | + | 0.136757i | ||||
\(924\) | 1393.60 | − | 579.125i | 1.50823 | − | 0.626758i | ||||
\(925\) | 102.492 | − | 807.227i | 0.110802 | − | 0.872678i | ||||
\(926\) | 156.839 | 0.169373 | ||||||||
\(927\) | −1.62646 | − | 708.298i | −0.00175454 | − | 0.764076i | ||||
\(928\) | −45.5177 | − | 45.5177i | −0.0490492 | − | 0.0490492i | ||||
\(929\) | 1381.56 | − | 797.643i | 1.48715 | − | 0.858604i | 0.487253 | − | 0.873261i | \(-0.337999\pi\) |
0.999893 | + | 0.0146572i | \(0.00466569\pi\) | |||||||
\(930\) | −14.8052 | − | 73.1107i | −0.0159195 | − | 0.0786137i | ||||
\(931\) | 114.218 | − | 197.831i | 0.122683 | − | 0.212493i | ||||
\(932\) | 174.439 | + | 651.014i | 0.187166 | + | 0.698513i | ||||
\(933\) | 409.491 | − | 54.3888i | 0.438897 | − | 0.0582946i | ||||
\(934\) | −113.927 | + | 65.7757i | −0.121977 | + | 0.0704237i | ||||
\(935\) | −4.99338 | − | 73.5863i | −0.00534051 | − | 0.0787019i | ||||
\(936\) | −128.833 | + | 129.426i | −0.137642 | + | 0.138276i | ||||
\(937\) | −921.265 | + | 921.265i | −0.983207 | + | 0.983207i | −0.999861 | − | 0.0166542i | \(-0.994699\pi\) |
0.0166542 | + | 0.999861i | \(0.494699\pi\) | |||||||
\(938\) | −29.4471 | + | 109.898i | −0.0313935 | + | 0.117162i | ||||
\(939\) | −18.2824 | + | 7.59741i | −0.0194700 | + | 0.00809096i | ||||
\(940\) | −468.736 | + | 956.048i | −0.498655 | + | 1.01707i | ||||
\(941\) | −618.185 | + | 1070.73i | −0.656945 | + | 1.13786i | 0.324458 | + | 0.945900i | \(0.394818\pi\) |
−0.981402 | + | 0.191961i | \(0.938515\pi\) | |||||||
\(942\) | 21.0144 | − | 16.1632i | 0.0223082 | − | 0.0171584i | ||||
\(943\) | −367.913 | + | 1373.07i | −0.390152 | + | 1.45607i | ||||
\(944\) | 495.068i | 0.524436i | ||||||||
\(945\) | −544.360 | − | 1088.04i | −0.576043 | − | 1.15137i | ||||
\(946\) | 33.3958 | 0.0353021 | ||||||||
\(947\) | −1561.01 | − | 418.272i | −1.64838 | − | 0.441681i | −0.689219 | − | 0.724553i | \(-0.742046\pi\) |
−0.959158 | + | 0.282872i | \(0.908713\pi\) | |||||||
\(948\) | 601.764 | + | 782.372i | 0.634772 | + | 0.825287i | ||||
\(949\) | 47.7599 | + | 27.5742i | 0.0503265 | + | 0.0290560i | ||||
\(950\) | −13.0409 | − | 31.0777i | −0.0137273 | − | 0.0327134i | ||||
\(951\) | −509.250 | − | 1225.46i | −0.535489 | − | 1.28860i | ||||
\(952\) | −13.8064 | − | 3.69940i | −0.0145025 | − | 0.00388593i | ||||
\(953\) | 1074.57 | + | 1074.57i | 1.12756 | + | 1.12756i | 0.990573 | + | 0.136988i | \(0.0437421\pi\) |
0.136988 | + | 0.990573i | \(0.456258\pi\) | |||||||
\(954\) | 40.3908 | − | 10.9222i | 0.0423384 | − | 0.0114488i | ||||
\(955\) | 179.503 | − | 205.638i | 0.187961 | − | 0.215328i | ||||
\(956\) | 760.073 | + | 1316.48i | 0.795055 | + | 1.37708i | ||||
\(957\) | 39.7127 | + | 298.995i | 0.0414971 | + | 0.312429i | ||||
\(958\) | −30.2804 | + | 8.11362i | −0.0316080 | + | 0.00846933i | ||||
\(959\) | 1530.10 | + | 883.405i | 1.59552 | + | 0.921173i | ||||
\(960\) | 756.994 | + | 502.036i | 0.788536 | + | 0.522954i | ||||
\(961\) | 138.418 | + | 239.748i | 0.144036 | + | 0.249477i | ||||
\(962\) | 58.6394 | − | 58.6394i | 0.0609557 | − | 0.0609557i | ||||
\(963\) | −323.849 | − | 557.960i | −0.336292 | − | 0.579398i | ||||
\(964\) | − | 1291.77i | − | 1.34001i | ||||||
\(965\) | 558.127 | + | 831.144i | 0.578370 | + | 0.861289i | ||||
\(966\) | 38.9019 | + | 93.6132i | 0.0402711 | + | 0.0969081i | ||||
\(967\) | −46.6332 | − | 174.037i | −0.0482246 | − | 0.179977i | 0.937613 | − | 0.347682i | \(-0.113031\pi\) |
−0.985837 | + | 0.167705i | \(0.946364\pi\) | |||||||
\(968\) | −113.066 | + | 30.2958i | −0.116803 | + | 0.0312974i | ||||
\(969\) | 2.88310 | − | 22.0953i | 0.00297533 | − | 0.0228022i | ||||
\(970\) | −6.39905 | + | 32.5621i | −0.00659696 | + | 0.0335691i | ||||
\(971\) | −40.8568 | −0.0420770 | −0.0210385 | − | 0.999779i | \(-0.506697\pi\) | ||||
−0.0210385 | + | 0.999779i | \(0.506697\pi\) | |||||||
\(972\) | 363.492 | − | 891.997i | 0.373963 | − | 0.917693i | ||||
\(973\) | −607.325 | − | 607.325i | −0.624178 | − | 0.624178i | ||||
\(974\) | −76.1338 | + | 43.9558i | −0.0781661 | + | 0.0451292i | ||||
\(975\) | 1005.06 | − | 5.78492i | 1.03083 | − | 0.00593325i | ||||
\(976\) | −634.092 | + | 1098.28i | −0.649685 | + | 1.12529i | ||||
\(977\) | −202.074 | − | 754.152i | −0.206832 | − | 0.771906i | −0.988883 | − | 0.148693i | \(-0.952494\pi\) |
0.782052 | − | 0.623213i | \(-0.214173\pi\) | |||||||
\(978\) | −23.6513 | + | 57.2853i | −0.0241834 | + | 0.0585739i | ||||
\(979\) | −274.932 | + | 158.732i | −0.280829 | + | 0.162137i | ||||
\(980\) | −419.885 | + | 481.018i | −0.428454 | + | 0.490835i | ||||
\(981\) | −416.113 | − | 110.474i | −0.424172 | − | 0.112613i | ||||
\(982\) | 48.9385 | − | 48.9385i | 0.0498355 | − | 0.0498355i | ||||
\(983\) | 133.041 | − | 496.515i | 0.135341 | − | 0.505101i | −0.864655 | − | 0.502367i | \(-0.832463\pi\) |
0.999996 | − | 0.00273477i | \(-0.000870506\pi\) | |||||||
\(984\) | 259.974 | + | 199.011i | 0.264201 | + | 0.202247i | ||||
\(985\) | −117.690 | − | 57.7016i | −0.119482 | − | 0.0585803i | ||||
\(986\) | 0.710935 | − | 1.23138i | 0.000721030 | − | 0.00124886i | ||||
\(987\) | −191.241 | − | 1439.84i | −0.193760 | − | 1.45881i | ||||
\(988\) | −97.4863 | + | 363.824i | −0.0986704 | + | 0.368243i | ||||
\(989\) | − | 245.999i | − | 0.248735i | ||||||
\(990\) | 39.2519 | + | 113.908i | 0.0396484 | + | 0.115059i | ||||
\(991\) | 941.294 | 0.949843 | 0.474922 | − | 0.880028i | \(-0.342476\pi\) | ||||
0.474922 | + | 0.880028i | \(0.342476\pi\) | |||||||
\(992\) | −227.798 | − | 61.0382i | −0.229635 | − | 0.0615304i | ||||
\(993\) | −299.615 | + | 725.690i | −0.301727 | + | 0.730805i | ||||
\(994\) | 54.0013 | + | 31.1776i | 0.0543272 | + | 0.0313658i | ||||
\(995\) | 974.957 | − | 333.460i | 0.979856 | − | 0.335136i | ||||
\(996\) | −627.219 | − | 81.8425i | −0.629738 | − | 0.0821712i | ||||
\(997\) | −1287.52 | − | 344.990i | −1.29140 | − | 0.346029i | −0.453206 | − | 0.891406i | \(-0.649720\pi\) |
−0.838191 | + | 0.545377i | \(0.816386\pi\) | |||||||
\(998\) | 54.8879 | + | 54.8879i | 0.0549979 | + | 0.0549979i | ||||
\(999\) | −333.505 | + | 813.063i | −0.333839 | + | 0.813877i |
(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 | 45.3.k.a.13.6 | yes | 40 | |
3.2 | odd | 2 | 135.3.l.a.118.5 | 40 | |||
5.2 | odd | 4 | inner | 45.3.k.a.22.5 | yes | 40 | |
5.3 | odd | 4 | 225.3.o.b.157.6 | 40 | |||
5.4 | even | 2 | 225.3.o.b.193.5 | 40 | |||
9.2 | odd | 6 | 135.3.l.a.73.6 | 40 | |||
9.4 | even | 3 | 405.3.g.h.163.5 | 20 | |||
9.5 | odd | 6 | 405.3.g.g.163.6 | 20 | |||
9.7 | even | 3 | inner | 45.3.k.a.43.5 | yes | 40 | |
15.2 | even | 4 | 135.3.l.a.37.6 | 40 | |||
45.2 | even | 12 | 135.3.l.a.127.5 | 40 | |||
45.7 | odd | 12 | inner | 45.3.k.a.7.6 | ✓ | 40 | |
45.22 | odd | 12 | 405.3.g.h.82.5 | 20 | |||
45.32 | even | 12 | 405.3.g.g.82.6 | 20 | |||
45.34 | even | 6 | 225.3.o.b.43.6 | 40 | |||
45.43 | odd | 12 | 225.3.o.b.7.5 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.3.k.a.7.6 | ✓ | 40 | 45.7 | odd | 12 | inner | |
45.3.k.a.13.6 | yes | 40 | 1.1 | even | 1 | trivial | |
45.3.k.a.22.5 | yes | 40 | 5.2 | odd | 4 | inner | |
45.3.k.a.43.5 | yes | 40 | 9.7 | even | 3 | inner | |
135.3.l.a.37.6 | 40 | 15.2 | even | 4 | |||
135.3.l.a.73.6 | 40 | 9.2 | odd | 6 | |||
135.3.l.a.118.5 | 40 | 3.2 | odd | 2 | |||
135.3.l.a.127.5 | 40 | 45.2 | even | 12 | |||
225.3.o.b.7.5 | 40 | 45.43 | odd | 12 | |||
225.3.o.b.43.6 | 40 | 45.34 | even | 6 | |||
225.3.o.b.157.6 | 40 | 5.3 | odd | 4 | |||
225.3.o.b.193.5 | 40 | 5.4 | even | 2 | |||
405.3.g.g.82.6 | 20 | 45.32 | even | 12 | |||
405.3.g.g.163.6 | 20 | 9.5 | odd | 6 | |||
405.3.g.h.82.5 | 20 | 45.22 | odd | 12 | |||
405.3.g.h.163.5 | 20 | 9.4 | even | 3 |