Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(53,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.ce (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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.7 | ||
Character | \(\chi\) | \(=\) | 630.107 |
Dual form | 630.2.ce.c.53.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | + | 0.965926i | 0.183013 | + | 0.683013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 1.24269 | − | 1.85895i | 0.555749 | − | 0.831350i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.31709 | − | 2.29462i | −0.497814 | − | 0.867284i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.11725 | + | 0.719217i | 0.669532 | + | 0.227436i | ||||
\(11\) | −1.05318 | + | 0.608054i | −0.317546 | + | 0.183335i | −0.650298 | − | 0.759679i | \(-0.725356\pi\) |
0.332752 | + | 0.943014i | \(0.392023\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.42429 | − | 2.42429i | 0.672377 | − | 0.672377i | −0.285886 | − | 0.958264i | \(-0.592288\pi\) |
0.958264 | + | 0.285886i | \(0.0922879\pi\) | |||||||
\(14\) | 1.87554 | − | 1.86610i | 0.501259 | − | 0.498737i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −3.34437 | − | 0.896120i | −0.811128 | − | 0.217341i | −0.170664 | − | 0.985329i | \(-0.554591\pi\) |
−0.640464 | + | 0.767988i | \(0.721258\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −7.32453 | − | 4.22882i | −1.68036 | − | 0.970158i | −0.961419 | − | 0.275089i | \(-0.911293\pi\) |
−0.718943 | − | 0.695069i | \(-0.755374\pi\) | |||||||
\(20\) | −0.146727 | + | 2.23125i | −0.0328091 | + | 0.498922i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.859918 | − | 0.859918i | −0.183335 | − | 0.183335i | ||||
\(23\) | 7.15780 | − | 1.91793i | 1.49250 | − | 0.399915i | 0.581923 | − | 0.813244i | \(-0.302301\pi\) |
0.910582 | + | 0.413329i | \(0.135634\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.91143 | − | 4.62022i | −0.382285 | − | 0.924044i | ||||
\(26\) | 2.96914 | + | 1.71423i | 0.582296 | + | 0.336189i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.28794 | + | 1.32865i | 0.432381 | + | 0.251091i | ||||
\(29\) | 7.86256 | 1.46004 | 0.730020 | − | 0.683425i | \(-0.239511\pi\) | ||||
0.730020 | + | 0.683425i | \(0.239511\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.47398 | − | 6.01711i | −0.623945 | − | 1.08070i | −0.988744 | − | 0.149618i | \(-0.952196\pi\) |
0.364799 | − | 0.931086i | \(-0.381138\pi\) | |||||||
\(32\) | 0.965926 | + | 0.258819i | 0.170753 | + | 0.0457532i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 3.46234i | − | 0.593787i | ||||||
\(35\) | −5.90233 | − | 0.403088i | −0.997676 | − | 0.0681344i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.19017 | − | 1.12275i | 0.688860 | − | 0.184580i | 0.102625 | − | 0.994720i | \(-0.467276\pi\) |
0.586236 | + | 0.810141i | \(0.300609\pi\) | |||||||
\(38\) | 2.18900 | − | 8.16945i | 0.355102 | − | 1.32526i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.19320 | + | 0.435763i | −0.346775 | + | 0.0689001i | ||||
\(41\) | 5.75220i | 0.898343i | 0.893446 | + | 0.449171i | \(0.148281\pi\) | ||||
−0.893446 | + | 0.449171i | \(0.851719\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.25749 | − | 1.25749i | 0.191766 | − | 0.191766i | −0.604693 | − | 0.796459i | \(-0.706704\pi\) |
0.796459 | + | 0.604693i | \(0.206704\pi\) | |||||||
\(44\) | 0.608054 | − | 1.05318i | 0.0916676 | − | 0.158773i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.70515 | + | 6.41751i | 0.546295 | + | 0.946210i | ||||
\(47\) | 1.94967 | + | 7.27627i | 0.284389 | + | 1.06135i | 0.949285 | + | 0.314418i | \(0.101809\pi\) |
−0.664896 | + | 0.746936i | \(0.731524\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.53053 | + | 6.04445i | −0.504362 | + | 0.863493i | ||||
\(50\) | 3.96808 | − | 3.04210i | 0.561171 | − | 0.430218i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.887352 | + | 3.31164i | −0.123054 | + | 0.459242i | ||||
\(53\) | −2.15260 | + | 8.03362i | −0.295683 | + | 1.10350i | 0.644991 | + | 0.764190i | \(0.276861\pi\) |
−0.940674 | + | 0.339313i | \(0.889805\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.178435 | + | 2.71344i | −0.0240602 | + | 0.365880i | ||||
\(56\) | −0.691214 | + | 2.55386i | −0.0923673 | + | 0.341274i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.03498 | + | 7.59465i | 0.267206 | + | 0.997226i | ||||
\(59\) | −0.0764567 | − | 0.132427i | −0.00995381 | − | 0.0172405i | 0.861006 | − | 0.508595i | \(-0.169835\pi\) |
−0.870959 | + | 0.491355i | \(0.836502\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.62709 | − | 11.4785i | 0.848512 | − | 1.46967i | −0.0340241 | − | 0.999421i | \(-0.510832\pi\) |
0.882536 | − | 0.470245i | \(-0.155834\pi\) | |||||||
\(62\) | 4.91295 | − | 4.91295i | 0.623945 | − | 0.623945i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −1.49400 | − | 7.51930i | −0.185308 | − | 0.932654i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.50886 | + | 13.0952i | −0.428676 | + | 1.59984i | 0.327088 | + | 0.944994i | \(0.393933\pi\) |
−0.755763 | + | 0.654845i | \(0.772734\pi\) | |||||||
\(68\) | 3.34437 | − | 0.896120i | 0.405564 | − | 0.108671i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.13828 | − | 5.80554i | −0.136051 | − | 0.693895i | ||||
\(71\) | − | 11.6129i | − | 1.37820i | −0.724668 | − | 0.689098i | \(-0.758007\pi\) | ||
0.724668 | − | 0.689098i | \(-0.241993\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.69391 | + | 2.06158i | 0.900504 | + | 0.241289i | 0.679233 | − | 0.733923i | \(-0.262313\pi\) |
0.221271 | + | 0.975212i | \(0.428979\pi\) | |||||||
\(74\) | 2.16899 | + | 3.75681i | 0.252140 | + | 0.436720i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.45764 | 0.970158 | ||||||||
\(77\) | 2.78239 | + | 1.61578i | 0.317082 | + | 0.184135i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.09930 | − | 0.634683i | −0.123681 | − | 0.0714074i | 0.436883 | − | 0.899518i | \(-0.356082\pi\) |
−0.560564 | + | 0.828111i | \(0.689416\pi\) | |||||||
\(80\) | −0.988555 | − | 2.00568i | −0.110524 | − | 0.224242i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.55620 | + | 1.48878i | −0.613580 | + | 0.164408i | ||||
\(83\) | −3.08077 | − | 3.08077i | −0.338159 | − | 0.338159i | 0.517515 | − | 0.855674i | \(-0.326857\pi\) |
−0.855674 | + | 0.517515i | \(0.826857\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.82187 | + | 5.10342i | −0.631470 | + | 0.553544i | ||||
\(86\) | 1.54011 | + | 0.889183i | 0.166074 | + | 0.0958830i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.17467 | + | 0.314752i | 0.125220 | + | 0.0335527i | ||||
\(89\) | 1.92654 | − | 3.33687i | 0.204213 | − | 0.353707i | −0.745669 | − | 0.666317i | \(-0.767870\pi\) |
0.949882 | + | 0.312610i | \(0.101203\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.75584 | − | 2.36980i | −0.917861 | − | 0.248423i | ||||
\(92\) | −5.23987 | + | 5.23987i | −0.546295 | + | 0.546295i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.52373 | + | 3.76648i | −0.672871 | + | 0.388482i | ||||
\(95\) | −16.9633 | + | 8.36084i | −1.74040 | + | 0.857804i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.22607 | + | 3.22607i | 0.327558 | + | 0.327558i | 0.851657 | − | 0.524099i | \(-0.175598\pi\) |
−0.524099 | + | 0.851657i | \(0.675598\pi\) | |||||||
\(98\) | −6.75226 | − | 1.84581i | −0.682081 | − | 0.186455i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.96545 | + | 3.04552i | 0.396545 | + | 0.304552i | ||||
\(101\) | 1.50414 | − | 0.868415i | 0.149667 | − | 0.0864105i | −0.423296 | − | 0.905991i | \(-0.639127\pi\) |
0.572963 | + | 0.819581i | \(0.305794\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.08337 | + | 4.04320i | 0.106748 | + | 0.398389i | 0.998538 | − | 0.0540614i | \(-0.0172167\pi\) |
−0.891790 | + | 0.452450i | \(0.850550\pi\) | |||||||
\(104\) | −3.42847 | −0.336189 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.31702 | −0.807820 | ||||||||
\(107\) | 2.09384 | + | 7.81431i | 0.202419 | + | 0.755438i | 0.990221 | + | 0.139509i | \(0.0445524\pi\) |
−0.787802 | + | 0.615929i | \(0.788781\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.23624 | + | 0.713741i | −0.118410 | + | 0.0683640i | −0.558035 | − | 0.829817i | \(-0.688445\pi\) |
0.439625 | + | 0.898181i | \(0.355111\pi\) | |||||||
\(110\) | −2.66716 | + | 0.529934i | −0.254304 | + | 0.0505273i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.64574 | − | 0.00667224i | −0.249999 | − | 0.000630468i | ||||
\(113\) | −7.18817 | − | 7.18817i | −0.676206 | − | 0.676206i | 0.282934 | − | 0.959139i | \(-0.408692\pi\) |
−0.959139 | + | 0.282934i | \(0.908692\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.32961 | − | 15.6894i | 0.496989 | − | 1.46305i | ||||
\(116\) | −6.80918 | + | 3.93128i | −0.632216 | + | 0.365010i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.108126 | − | 0.108126i | 0.00995381 | − | 0.00995381i | ||||
\(119\) | 2.34859 | + | 8.85431i | 0.215295 | + | 0.811673i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.76054 | + | 8.24550i | −0.432776 | + | 0.749591i | ||||
\(122\) | 12.8026 | + | 3.43043i | 1.15909 | + | 0.310577i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.01711 | + | 3.47398i | 0.540352 | + | 0.311973i | ||||
\(125\) | −10.9641 | − | 2.18826i | −0.980659 | − | 0.195724i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.268829 | + | 0.268829i | 0.0238547 | + | 0.0238547i | 0.718934 | − | 0.695079i | \(-0.244631\pi\) |
−0.695079 | + | 0.718934i | \(0.744631\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.87641 | − | 3.38923i | 0.603101 | − | 0.297255i | ||||
\(131\) | 1.27630 | + | 0.736873i | 0.111511 | + | 0.0643809i | 0.554718 | − | 0.832038i | \(-0.312826\pi\) |
−0.443207 | + | 0.896419i | \(0.646159\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0564314 | + | 22.3767i | −0.00489322 | + | 1.94031i | ||||
\(134\) | −13.5572 | −1.17116 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.73117 | + | 2.99848i | 0.148447 | + | 0.257117i | ||||
\(137\) | −1.70107 | − | 0.455800i | −0.145332 | − | 0.0389417i | 0.185419 | − | 0.982659i | \(-0.440636\pi\) |
−0.330752 | + | 0.943718i | \(0.607302\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 18.3644i | − | 1.55764i | −0.627245 | − | 0.778822i | \(-0.715817\pi\) | ||
0.627245 | − | 0.778822i | \(-0.284183\pi\) | |||||||
\(140\) | 5.31311 | − | 2.60208i | 0.449040 | − | 0.219916i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.2172 | − | 3.00564i | 0.941325 | − | 0.252227i | ||||
\(143\) | −1.07912 | + | 4.02731i | −0.0902402 | + | 0.336781i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.77075 | − | 14.6161i | 0.811417 | − | 1.21380i | ||||
\(146\) | 7.96532i | 0.659214i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.06742 | + | 3.06742i | −0.252140 | + | 0.252140i | ||||
\(149\) | −6.01294 | + | 10.4147i | −0.492599 | + | 0.853207i | −0.999964 | − | 0.00852452i | \(-0.997287\pi\) |
0.507364 | + | 0.861732i | \(0.330620\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.31381 | − | 2.27559i | −0.106917 | − | 0.185185i | 0.807603 | − | 0.589726i | \(-0.200764\pi\) |
−0.914520 | + | 0.404541i | \(0.867431\pi\) | |||||||
\(152\) | 2.18900 | + | 8.16945i | 0.177551 | + | 0.662630i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.840590 | + | 3.10577i | −0.0677367 | + | 0.250270i | ||||
\(155\) | −15.5026 | − | 1.01945i | −1.24520 | − | 0.0818842i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.957870 | + | 3.57482i | −0.0764464 | + | 0.285302i | −0.993557 | − | 0.113330i | \(-0.963848\pi\) |
0.917111 | + | 0.398632i | \(0.130515\pi\) | |||||||
\(158\) | 0.328536 | − | 1.22611i | 0.0261369 | − | 0.0975443i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.68148 | − | 1.47398i | 0.132933 | − | 0.116528i | ||||
\(161\) | −13.8284 | − | 13.8983i | −1.08983 | − | 1.09534i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.317179 | + | 1.18373i | 0.0248434 | + | 0.0927167i | 0.977234 | − | 0.212162i | \(-0.0680506\pi\) |
−0.952391 | + | 0.304879i | \(0.901384\pi\) | |||||||
\(164\) | −2.87610 | − | 4.98155i | −0.224586 | − | 0.388994i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.17844 | − | 3.77316i | 0.169079 | − | 0.292854i | ||||
\(167\) | −6.03137 | + | 6.03137i | −0.466721 | + | 0.466721i | −0.900851 | − | 0.434129i | \(-0.857056\pi\) |
0.434129 | + | 0.900851i | \(0.357056\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.24562i | 0.0958171i | ||||||||
\(170\) | −6.43634 | − | 4.30263i | −0.493645 | − | 0.329997i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.460275 | + | 1.71777i | −0.0350956 | + | 0.130979i | ||||
\(173\) | 13.6944 | − | 3.66940i | 1.04117 | − | 0.278979i | 0.302569 | − | 0.953128i | \(-0.402156\pi\) |
0.738596 | + | 0.674148i | \(0.235489\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.08411 | + | 10.4713i | −0.611101 | + | 0.791552i | ||||
\(176\) | 1.21611i | 0.0916676i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.72179 | + | 0.997251i | 0.278960 | + | 0.0747471i | ||||
\(179\) | 8.15708 | + | 14.1285i | 0.609689 | + | 1.05601i | 0.991292 | + | 0.131686i | \(0.0420390\pi\) |
−0.381603 | + | 0.924327i | \(0.624628\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.5911 | −0.935888 | −0.467944 | − | 0.883758i | \(-0.655005\pi\) | ||||
−0.467944 | + | 0.883758i | \(0.655005\pi\) | |||||||
\(182\) | 0.0228756 | − | 9.07084i | 0.00169565 | − | 0.672375i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.41751 | − | 3.70515i | −0.473105 | − | 0.273147i | ||||
\(185\) | 3.11995 | − | 9.18458i | 0.229384 | − | 0.675264i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.06711 | − | 1.08978i | 0.297416 | − | 0.0796925i | ||||
\(188\) | −5.32660 | − | 5.32660i | −0.388482 | − | 0.388482i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.4664 | − | 14.2214i | −0.904407 | − | 1.03173i | ||||
\(191\) | 7.69330 | + | 4.44173i | 0.556668 | + | 0.321392i | 0.751807 | − | 0.659383i | \(-0.229183\pi\) |
−0.195139 | + | 0.980776i | \(0.562516\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 22.4807 | + | 6.02367i | 1.61819 | + | 0.433593i | 0.950470 | − | 0.310817i | \(-0.100603\pi\) |
0.667723 | + | 0.744410i | \(0.267269\pi\) | |||||||
\(194\) | −2.28118 | + | 3.95112i | −0.163779 | + | 0.283674i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0353061 | − | 6.99991i | 0.00252186 | − | 0.499994i | ||||
\(197\) | 12.5439 | − | 12.5439i | 0.893718 | − | 0.893718i | −0.101153 | − | 0.994871i | \(-0.532253\pi\) |
0.994871 | + | 0.101153i | \(0.0322531\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.3683 | + | 8.29554i | −1.01854 | + | 0.588056i | −0.913681 | − | 0.406431i | \(-0.866773\pi\) |
−0.104861 | + | 0.994487i | \(0.533440\pi\) | |||||||
\(200\) | −1.91541 | + | 4.61857i | −0.135440 | + | 0.326582i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.22812 | + | 1.22812i | 0.0864105 | + | 0.0864105i | ||||
\(203\) | −10.3557 | − | 18.0416i | −0.726829 | − | 1.26627i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.6931 | + | 7.14822i | 0.746837 | + | 0.499254i | ||||
\(206\) | −3.62504 | + | 2.09292i | −0.252568 | + | 0.145820i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.887352 | − | 3.31164i | −0.0615268 | − | 0.229621i | ||||
\(209\) | 10.2854 | 0.711456 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.26908 | 0.638110 | 0.319055 | − | 0.947736i | \(-0.396635\pi\) | ||||
0.319055 | + | 0.947736i | \(0.396635\pi\) | |||||||
\(212\) | −2.15260 | − | 8.03362i | −0.147841 | − | 0.551752i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.00612 | + | 4.04498i | −0.478928 | + | 0.276509i | ||||
\(215\) | −0.774945 | − | 3.90030i | −0.0528508 | − | 0.265999i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.23140 | + | 15.8965i | −0.626669 | + | 1.07913i | ||||
\(218\) | −1.00938 | − | 1.00938i | −0.0683640 | − | 0.0683640i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.20219 | − | 2.43912i | −0.0810516 | − | 0.164446i | ||||
\(221\) | −10.2802 | + | 5.93526i | −0.691519 | + | 0.399249i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.3315 | − | 13.3315i | 0.892746 | − | 0.892746i | −0.102035 | − | 0.994781i | \(-0.532535\pi\) |
0.994781 | + | 0.102035i | \(0.0325352\pi\) | |||||||
\(224\) | −0.678324 | − | 2.55732i | −0.0453224 | − | 0.170868i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.08280 | − | 8.80367i | 0.338103 | − | 0.585611i | ||||
\(227\) | −4.51783 | − | 1.21055i | −0.299859 | − | 0.0803470i | 0.105753 | − | 0.994392i | \(-0.466275\pi\) |
−0.405612 | + | 0.914045i | \(0.632941\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.0096 | + | 10.9752i | 1.25619 | + | 0.725262i | 0.972332 | − | 0.233604i | \(-0.0750518\pi\) |
0.283859 | + | 0.958866i | \(0.408385\pi\) | |||||||
\(230\) | 16.5342 | + | 1.08729i | 1.09023 | + | 0.0716937i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.55967 | − | 5.55967i | −0.365010 | − | 0.365010i | ||||
\(233\) | 28.5061 | − | 7.63818i | 1.86750 | − | 0.500394i | 0.867500 | − | 0.497437i | \(-0.165725\pi\) |
0.999996 | − | 0.00295737i | \(-0.000941362\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.9491 | + | 5.41783i | 1.04041 | + | 0.353420i | ||||
\(236\) | 0.132427 | + | 0.0764567i | 0.00862025 | + | 0.00497690i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.94475 | + | 4.56023i | −0.514981 | + | 0.295596i | ||||
\(239\) | −18.2869 | −1.18288 | −0.591440 | − | 0.806349i | \(-0.701440\pi\) | ||||
−0.591440 | + | 0.806349i | \(0.701440\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.64147 | − | 14.9675i | −0.556646 | − | 0.964139i | −0.997773 | − | 0.0666949i | \(-0.978755\pi\) |
0.441127 | − | 0.897445i | \(-0.354579\pi\) | |||||||
\(242\) | −9.19666 | − | 2.46424i | −0.591184 | − | 0.158407i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 13.2542i | 0.848512i | ||||||||
\(245\) | 6.84899 | + | 14.0745i | 0.437566 | + | 0.899186i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −28.0087 | + | 7.50490i | −1.78215 | + | 0.477526i | ||||
\(248\) | −1.79826 | + | 6.71121i | −0.114190 | + | 0.426162i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.724017 | − | 11.1569i | −0.0457909 | − | 0.705623i | ||||
\(251\) | 14.5725i | 0.919806i | 0.887969 | + | 0.459903i | \(0.152116\pi\) | ||||
−0.887969 | + | 0.459903i | \(0.847884\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.37225 | + | 6.37225i | −0.400620 | + | 0.400620i | ||||
\(254\) | −0.190091 | + | 0.329247i | −0.0119274 | + | 0.0206588i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.84310 | + | 14.3426i | 0.239726 | + | 0.894669i | 0.975961 | + | 0.217943i | \(0.0699348\pi\) |
−0.736236 | + | 0.676725i | \(0.763399\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.09514 | − | 8.13607i | −0.503008 | − | 0.505551i | ||||
\(260\) | 5.05349 | + | 5.76491i | 0.313404 | + | 0.357524i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.381433 | + | 1.42353i | −0.0235650 | + | 0.0879459i | ||||
\(263\) | −3.13486 | + | 11.6995i | −0.193304 | + | 0.721420i | 0.799396 | + | 0.600805i | \(0.205153\pi\) |
−0.992699 | + | 0.120615i | \(0.961513\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.2591 | + | 13.9849i | 0.753072 | + | 0.859087i | ||||
\(266\) | −21.6289 | + | 5.73702i | −1.32615 | + | 0.351759i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.50886 | − | 13.0952i | −0.214338 | − | 0.799919i | ||||
\(269\) | 4.33223 | + | 7.50364i | 0.264141 | + | 0.457505i | 0.967338 | − | 0.253490i | \(-0.0815783\pi\) |
−0.703197 | + | 0.710995i | \(0.748245\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.44256 | + | 4.23064i | −0.148375 | + | 0.256993i | −0.930627 | − | 0.365969i | \(-0.880738\pi\) |
0.782252 | + | 0.622962i | \(0.214071\pi\) | |||||||
\(272\) | −2.44825 | + | 2.44825i | −0.148447 | + | 0.148447i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 1.76108i | − | 0.106391i | ||||||
\(275\) | 4.82242 | + | 3.70368i | 0.290803 | + | 0.223340i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.18252 | − | 19.3414i | 0.311387 | − | 1.16211i | −0.615919 | − | 0.787810i | \(-0.711215\pi\) |
0.927306 | − | 0.374304i | \(-0.122118\pi\) | |||||||
\(278\) | 17.7386 | − | 4.75304i | 1.06389 | − | 0.285069i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.88855 | + | 4.45861i | 0.232385 | + | 0.266453i | ||||
\(281\) | − | 30.9645i | − | 1.84719i | −0.383375 | − | 0.923593i | \(-0.625238\pi\) | ||
0.383375 | − | 0.923593i | \(-0.374762\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.8694 | + | 3.98423i | 0.883891 | + | 0.236838i | 0.672085 | − | 0.740474i | \(-0.265399\pi\) |
0.211806 | + | 0.977312i | \(0.432066\pi\) | |||||||
\(284\) | 5.80644 | + | 10.0571i | 0.344549 | + | 0.596776i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.16938 | −0.246541 | ||||||||
\(287\) | 13.1991 | − | 7.57619i | 0.779118 | − | 0.447208i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.34068 | − | 2.50609i | −0.255334 | − | 0.147417i | ||||
\(290\) | 16.6470 | + | 5.65488i | 0.977544 | + | 0.332066i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.69391 | + | 2.06158i | −0.450252 | + | 0.120645i | ||||
\(293\) | 9.12076 | + | 9.12076i | 0.532840 | + | 0.532840i | 0.921417 | − | 0.388576i | \(-0.127033\pi\) |
−0.388576 | + | 0.921417i | \(0.627033\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.341188 | − | 0.0224365i | −0.0198647 | − | 0.00130630i | ||||
\(296\) | −3.75681 | − | 2.16899i | −0.218360 | − | 0.126070i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −11.6161 | − | 3.11253i | −0.672903 | − | 0.180304i | ||||
\(299\) | 12.7030 | − | 22.0022i | 0.734632 | − | 1.27242i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.54170 | − | 1.22923i | −0.261779 | − | 0.0708516i | ||||
\(302\) | 1.85801 | − | 1.85801i | 0.106917 | − | 0.106917i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.32453 | + | 4.22882i | −0.420091 | + | 0.242539i | ||||
\(305\) | −13.1025 | − | 26.5837i | −0.750246 | − | 1.52218i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.98143 | + | 2.98143i | 0.170159 | + | 0.170159i | 0.787049 | − | 0.616890i | \(-0.211608\pi\) |
−0.616890 | + | 0.787049i | \(0.711608\pi\) | |||||||
\(308\) | −3.21751 | − | 0.00811416i | −0.183335 | − | 0.000462347i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.02766 | − | 15.2382i | −0.171960 | − | 0.865474i | ||||
\(311\) | 27.6208 | − | 15.9469i | 1.56623 | − | 0.904265i | 0.569631 | − | 0.821900i | \(-0.307086\pi\) |
0.996602 | − | 0.0823648i | \(-0.0262473\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.38354 | − | 16.3596i | −0.247773 | − | 0.924700i | −0.971970 | − | 0.235107i | \(-0.924456\pi\) |
0.724197 | − | 0.689593i | \(-0.242211\pi\) | |||||||
\(314\) | −3.70093 | −0.208855 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.26937 | 0.0714074 | ||||||||
\(317\) | −1.53993 | − | 5.74708i | −0.0864909 | − | 0.322788i | 0.909101 | − | 0.416575i | \(-0.136770\pi\) |
−0.995592 | + | 0.0937864i | \(0.970103\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.28069 | + | 4.78086i | −0.463630 | + | 0.267677i | ||||
\(320\) | 1.85895 | + | 1.24269i | 0.103919 | + | 0.0694687i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.84570 | − | 16.9544i | 0.548679 | − | 0.944829i | ||||
\(323\) | 20.7064 | + | 20.7064i | 1.15213 | + | 1.15213i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.8346 | − | 6.56691i | −0.878347 | − | 0.364267i | ||||
\(326\) | −1.06130 | + | 0.612743i | −0.0587800 | + | 0.0339367i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.06742 | − | 4.06742i | 0.224586 | − | 0.224586i | ||||
\(329\) | 14.1284 | − | 14.0573i | 0.778922 | − | 0.775003i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.330850 | − | 0.573050i | 0.0181852 | − | 0.0314977i | −0.856790 | − | 0.515666i | \(-0.827544\pi\) |
0.874975 | + | 0.484168i | \(0.160878\pi\) | |||||||
\(332\) | 4.20841 | + | 1.12764i | 0.230967 | + | 0.0618873i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.38689 | − | 4.26482i | −0.404192 | − | 0.233361i | ||||
\(335\) | 19.9830 | + | 22.7962i | 1.09179 | + | 1.24549i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.0409 | + | 23.0409i | 1.25512 | + | 1.25512i | 0.953396 | + | 0.301722i | \(0.0975614\pi\) |
0.301722 | + | 0.953396i | \(0.402439\pi\) | |||||||
\(338\) | −1.20318 | + | 0.322391i | −0.0654443 | + | 0.0175357i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.49017 | − | 7.33063i | 0.135049 | − | 0.397559i | ||||
\(341\) | 7.31745 | + | 4.22473i | 0.396262 | + | 0.228782i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5197 | + | 0.140116i | 0.999971 | + | 0.00756555i | ||||
\(344\) | −1.77837 | −0.0958830 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7.08874 | + | 12.2781i | 0.381093 | + | 0.660072i | ||||
\(347\) | −11.8037 | − | 3.16280i | −0.633657 | − | 0.169788i | −0.0723282 | − | 0.997381i | \(-0.523043\pi\) |
−0.561328 | + | 0.827593i | \(0.689710\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 11.3328i | − | 0.606631i | −0.952890 | − | 0.303316i | \(-0.901906\pi\) | ||
0.952890 | − | 0.303316i | \(-0.0980937\pi\) | |||||||
\(350\) | −12.2068 | − | 5.09849i | −0.652480 | − | 0.272526i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.17467 | + | 0.314752i | −0.0626101 | + | 0.0167763i | ||||
\(353\) | 0.684730 | − | 2.55545i | 0.0364445 | − | 0.136013i | −0.945307 | − | 0.326183i | \(-0.894237\pi\) |
0.981751 | + | 0.190170i | \(0.0609041\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −21.5878 | − | 14.4313i | −1.14576 | − | 0.765931i | ||||
\(356\) | 3.85308i | 0.204213i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.5359 | + | 11.5359i | −0.609689 | + | 0.609689i | ||||
\(359\) | −6.02101 | + | 10.4287i | −0.317777 | + | 0.550405i | −0.980024 | − | 0.198880i | \(-0.936270\pi\) |
0.662247 | + | 0.749285i | \(0.269603\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 26.2658 | + | 45.4937i | 1.38241 | + | 2.39441i | ||||
\(362\) | −3.25881 | − | 12.1621i | −0.171279 | − | 0.639224i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.76768 | − | 2.32561i | 0.459551 | − | 0.121895i | ||||
\(365\) | 13.3935 | − | 11.7407i | 0.701050 | − | 0.614537i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.98231 | − | 14.8622i | 0.207875 | − | 0.775800i | −0.780679 | − | 0.624932i | \(-0.785127\pi\) |
0.988554 | − | 0.150868i | \(-0.0482068\pi\) | |||||||
\(368\) | 1.91793 | − | 7.15780i | 0.0999789 | − | 0.373126i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.67913 | + | 0.636498i | 0.503194 | + | 0.0330900i | ||||
\(371\) | 21.2693 | − | 5.64163i | 1.10425 | − | 0.292899i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.09031 | − | 22.7293i | −0.315344 | − | 1.17688i | −0.923669 | − | 0.383192i | \(-0.874825\pi\) |
0.608324 | − | 0.793688i | \(-0.291842\pi\) | |||||||
\(374\) | 2.10529 | + | 3.64647i | 0.108862 | + | 0.188554i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.76648 | − | 6.52373i | 0.194241 | − | 0.336436i | ||||
\(377\) | 19.0611 | − | 19.0611i | 0.981698 | − | 0.981698i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.21063i | 0.216285i | 0.994135 | + | 0.108143i | \(0.0344903\pi\) | ||||
−0.994135 | + | 0.108143i | \(0.965510\pi\) | |||||||
\(380\) | 10.5103 | − | 15.7224i | 0.539164 | − | 0.806540i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.29921 | + | 8.58076i | −0.117638 | + | 0.439030i | ||||
\(383\) | 15.7218 | − | 4.21264i | 0.803345 | − | 0.215256i | 0.166293 | − | 0.986076i | \(-0.446820\pi\) |
0.637052 | + | 0.770821i | \(0.280154\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.46132 | − | 3.16441i | 0.329299 | − | 0.161273i | ||||
\(386\) | 23.2737i | 1.18460i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.40690 | − | 1.18083i | −0.223726 | − | 0.0599473i | ||||
\(389\) | 8.09315 | + | 14.0178i | 0.410339 | + | 0.710728i | 0.994927 | − | 0.100602i | \(-0.0320770\pi\) |
−0.584587 | + | 0.811331i | \(0.698744\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.6570 | −1.29753 | ||||||||
\(392\) | 6.77053 | − | 1.77761i | 0.341964 | − | 0.0897827i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 15.3631 | + | 8.86990i | 0.773983 | + | 0.446859i | ||||
\(395\) | −2.54594 | + | 1.25484i | −0.128100 | + | 0.0631378i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.07468 | + | 2.43155i | −0.455445 | + | 0.122036i | −0.479246 | − | 0.877681i | \(-0.659090\pi\) |
0.0238009 | + | 0.999717i | \(0.492423\pi\) | |||||||
\(398\) | −11.7317 | − | 11.7317i | −0.588056 | − | 0.588056i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.95694 | − | 0.654767i | −0.247847 | − | 0.0327384i | ||||
\(401\) | −14.4737 | − | 8.35638i | −0.722780 | − | 0.417297i | 0.0929947 | − | 0.995667i | \(-0.470356\pi\) |
−0.815775 | + | 0.578369i | \(0.803689\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −23.0092 | − | 6.16529i | −1.14617 | − | 0.307115i | ||||
\(404\) | −0.868415 | + | 1.50414i | −0.0432052 | + | 0.0748337i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 14.7466 | − | 14.6724i | 0.731859 | − | 0.728177i | ||||
\(407\) | −3.73031 | + | 3.73031i | −0.184905 | + | 0.184905i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.1057 | − | 7.56660i | 0.648037 | − | 0.374144i | −0.139667 | − | 0.990199i | \(-0.544603\pi\) |
0.787704 | + | 0.616054i | \(0.211270\pi\) | |||||||
\(410\) | −4.13708 | + | 12.1788i | −0.204316 | + | 0.601469i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.95983 | − | 2.95983i | −0.145820 | − | 0.145820i | ||||
\(413\) | −0.203168 | + | 0.349857i | −0.00999726 | + | 0.0172153i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.55547 | + | 1.89856i | −0.469060 | + | 0.0931967i | ||||
\(416\) | 2.96914 | − | 1.71423i | 0.145574 | − | 0.0840472i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.66206 | + | 9.93493i | 0.130205 | + | 0.485933i | ||||
\(419\) | −12.8495 | −0.627741 | −0.313870 | − | 0.949466i | \(-0.601626\pi\) | ||||
−0.313870 | + | 0.949466i | \(0.601626\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.39419 | −0.165423 | −0.0827114 | − | 0.996574i | \(-0.526358\pi\) | ||||
−0.0827114 | + | 0.996574i | \(0.526358\pi\) | |||||||
\(422\) | 2.39901 | + | 8.95324i | 0.116782 | + | 0.435837i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 7.20275 | − | 4.15851i | 0.349796 | − | 0.201955i | ||||
\(425\) | 2.25223 | + | 17.1646i | 0.109249 | + | 0.832604i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.0672 | − | 0.0884351i | −1.69702 | − | 0.00427967i | ||||
\(428\) | −5.72047 | − | 5.72047i | −0.276509 | − | 0.276509i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.56683 | − | 1.75801i | 0.172008 | − | 0.0847789i | ||||
\(431\) | 5.42180 | − | 3.13027i | 0.261159 | − | 0.150780i | −0.363704 | − | 0.931514i | \(-0.618488\pi\) |
0.624863 | + | 0.780734i | \(0.285155\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.42688 | − | 3.42688i | 0.164685 | − | 0.164685i | −0.619953 | − | 0.784639i | \(-0.712849\pi\) |
0.784639 | + | 0.619953i | \(0.212849\pi\) | |||||||
\(434\) | −17.7441 | − | 4.80252i | −0.851746 | − | 0.230529i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.713741 | − | 1.23624i | 0.0341820 | − | 0.0592050i | ||||
\(437\) | −60.5381 | − | 16.2211i | −2.89593 | − | 0.775962i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.2016 | + | 9.35398i | 0.773259 | + | 0.446441i | 0.834036 | − | 0.551710i | \(-0.186025\pi\) |
−0.0607771 | + | 0.998151i | \(0.519358\pi\) | |||||||
\(440\) | 2.04486 | − | 1.79252i | 0.0974851 | − | 0.0854549i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8.39373 | − | 8.39373i | −0.399249 | − | 0.399249i | ||||
\(443\) | −34.3615 | + | 9.20714i | −1.63257 | + | 0.437444i | −0.954658 | − | 0.297703i | \(-0.903779\pi\) |
−0.677907 | + | 0.735148i | \(0.737113\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.80898 | − | 7.72805i | −0.180563 | − | 0.366345i | ||||
\(446\) | 16.3277 | + | 9.42683i | 0.773141 | + | 0.446373i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.29462 | − | 1.31709i | 0.108410 | − | 0.0622268i | ||||
\(449\) | 5.42293 | 0.255924 | 0.127962 | − | 0.991779i | \(-0.459156\pi\) | ||||
0.127962 | + | 0.991779i | \(0.459156\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.49765 | − | 6.05810i | −0.164698 | − | 0.285265i | ||||
\(452\) | 9.81922 | + | 2.63105i | 0.461857 | + | 0.123754i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 4.67720i | − | 0.219512i | ||||||
\(455\) | −15.2862 | + | 13.3318i | −0.716627 | + | 0.625003i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.6042 | − | 4.71703i | 0.823490 | − | 0.220653i | 0.177618 | − | 0.984099i | \(-0.443161\pi\) |
0.645872 | + | 0.763446i | \(0.276494\pi\) | |||||||
\(458\) | −5.68119 | + | 21.2025i | −0.265464 | + | 0.990727i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.22913 | + | 16.2522i | 0.150559 | + | 0.757765i | ||||
\(461\) | 9.21273i | 0.429080i | 0.976715 | + | 0.214540i | \(0.0688252\pi\) | ||||
−0.976715 | + | 0.214540i | \(0.931175\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.6873 | − | 12.6873i | 0.589628 | − | 0.589628i | −0.347903 | − | 0.937531i | \(-0.613106\pi\) |
0.937531 | + | 0.347903i | \(0.113106\pi\) | |||||||
\(464\) | 3.93128 | − | 6.80918i | 0.182505 | − | 0.316108i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.7558 | + | 25.5579i | 0.683551 | + | 1.18394i | ||||
\(467\) | 3.94598 | + | 14.7266i | 0.182598 | + | 0.681465i | 0.995132 | + | 0.0985514i | \(0.0314209\pi\) |
−0.812534 | + | 0.582914i | \(0.801912\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.6701 | − | 9.19617i | 1.60091 | − | 0.424640i | ||||
\(470\) | −1.10528 | + | 16.8079i | −0.0509830 | + | 0.775290i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.0395769 | + | 0.147703i | −0.00182167 | + | 0.00679858i | ||||
\(473\) | −0.559744 | + | 2.08899i | −0.0257370 | + | 0.0960519i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.53778 | + | 41.9240i | −0.254091 | + | 1.92361i | ||||
\(476\) | −6.46109 | − | 6.49376i | −0.296144 | − | 0.297641i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.73299 | − | 17.6638i | −0.216482 | − | 0.807922i | ||||
\(479\) | −13.5727 | − | 23.5086i | −0.620151 | − | 1.07413i | −0.989457 | − | 0.144825i | \(-0.953738\pi\) |
0.369306 | − | 0.929308i | \(-0.379595\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.43632 | − | 12.8801i | 0.339067 | − | 0.587281i | ||||
\(482\) | 12.2209 | − | 12.2209i | 0.556646 | − | 0.556646i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 9.52108i | − | 0.432776i | ||||||
\(485\) | 10.0061 | − | 1.98811i | 0.454356 | − | 0.0902752i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.23690 | − | 19.5444i | 0.237307 | − | 0.885641i | −0.739789 | − | 0.672839i | \(-0.765075\pi\) |
0.977095 | − | 0.212802i | \(-0.0682588\pi\) | |||||||
\(488\) | −12.8026 | + | 3.43043i | −0.579544 | + | 0.155288i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.8223 | + | 10.2584i | −0.534076 | + | 0.463425i | ||||
\(491\) | − | 22.6077i | − | 1.02027i | −0.860094 | − | 0.510136i | \(-0.829595\pi\) | ||
0.860094 | − | 0.510136i | \(-0.170405\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −26.2953 | − | 7.04580i | −1.18428 | − | 0.317327i | ||||
\(494\) | −14.4984 | − | 25.1119i | −0.652312 | − | 1.12984i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.94796 | −0.311973 | ||||||||
\(497\) | −26.6471 | + | 15.2952i | −1.19529 | + | 0.686086i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.87570 | − | 3.39234i | −0.263032 | − | 0.151862i | 0.362685 | − | 0.931912i | \(-0.381860\pi\) |
−0.625717 | + | 0.780050i | \(0.715194\pi\) | |||||||
\(500\) | 10.5893 | − | 3.58696i | 0.473569 | − | 0.160414i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.0759 | + | 3.77163i | −0.628239 | + | 0.168336i | ||||
\(503\) | −7.43812 | − | 7.43812i | −0.331649 | − | 0.331649i | 0.521563 | − | 0.853213i | \(-0.325349\pi\) |
−0.853213 | + | 0.521563i | \(0.825349\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.254839 | − | 3.87530i | 0.0113402 | − | 0.172449i | ||||
\(506\) | −7.80438 | − | 4.50586i | −0.346947 | − | 0.200310i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.367227 | − | 0.0983983i | −0.0162931 | − | 0.00436572i | ||||
\(509\) | −8.08054 | + | 13.9959i | −0.358164 | + | 0.620358i | −0.987654 | − | 0.156651i | \(-0.949930\pi\) |
0.629490 | + | 0.777008i | \(0.283264\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.40306 | − | 20.3699i | −0.239018 | − | 0.901109i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.8592 | + | 7.42429i | −0.567197 | + | 0.327471i | ||||
\(515\) | 8.86244 | + | 3.01052i | 0.390526 | + | 0.132659i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.47772 | − | 6.47772i | −0.284890 | − | 0.284890i | ||||
\(518\) | 5.76367 | − | 9.92508i | 0.253241 | − | 0.436083i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.26053 | + | 6.37336i | −0.186837 | + | 0.279490i | ||||
\(521\) | −11.9092 | + | 6.87577i | −0.521751 | + | 0.301233i | −0.737651 | − | 0.675182i | \(-0.764065\pi\) |
0.215900 | + | 0.976416i | \(0.430732\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.79259 | + | 17.8862i | 0.209565 | + | 0.782108i | 0.988009 | + | 0.154394i | \(0.0493426\pi\) |
−0.778444 | + | 0.627714i | \(0.783991\pi\) | |||||||
\(524\) | −1.47375 | −0.0643809 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.1122 | −0.528116 | ||||||||
\(527\) | 6.22621 | + | 23.2365i | 0.271218 | + | 1.01220i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 27.6371 | − | 15.9563i | 1.20161 | − | 0.693751i | ||||
\(530\) | −10.3355 | + | 15.4610i | −0.448946 | + | 0.671581i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.1395 | − | 19.4070i | −0.482958 | − | 0.841402i | ||||
\(533\) | 13.9450 | + | 13.9450i | 0.604026 | + | 0.604026i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.1284 | + | 5.81844i | 0.740527 | + | 0.251553i | ||||
\(536\) | 11.7409 | − | 6.77860i | 0.507129 | − | 0.292791i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.12670 | + | 6.12670i | −0.264141 | + | 0.264141i | ||||
\(539\) | 0.0429360 | − | 8.51264i | 0.00184938 | − | 0.366666i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.2348 | + | 26.3874i | −0.654993 | + | 1.13448i | 0.326902 | + | 0.945058i | \(0.393995\pi\) |
−0.981895 | + | 0.189423i | \(0.939338\pi\) | |||||||
\(542\) | −4.71866 | − | 1.26436i | −0.202684 | − | 0.0543090i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.99848 | − | 1.73117i | −0.128559 | − | 0.0742233i | ||||
\(545\) | −0.209450 | + | 3.18507i | −0.00897184 | + | 0.136433i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.16892 | − | 4.16892i | −0.178250 | − | 0.178250i | 0.612343 | − | 0.790593i | \(-0.290227\pi\) |
−0.790593 | + | 0.612343i | \(0.790227\pi\) | |||||||
\(548\) | 1.70107 | − | 0.455800i | 0.0726661 | − | 0.0194708i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.32934 | + | 5.61668i | −0.0993235 | + | 0.239496i | ||||
\(551\) | −57.5895 | − | 33.2493i | −2.45340 | − | 1.41647i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.00846951 | + | 3.35842i | −0.000360160 | + | 0.142814i | ||||
\(554\) | 20.0237 | 0.850726 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.18218 | + | 15.9040i | 0.389411 | + | 0.674480i | ||||
\(557\) | 8.58871 | + | 2.30134i | 0.363915 | + | 0.0975108i | 0.436143 | − | 0.899877i | \(-0.356344\pi\) |
−0.0722278 | + | 0.997388i | \(0.523011\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 6.09706i | − | 0.257878i | ||||||
\(560\) | −3.30025 | + | 4.91003i | −0.139461 | + | 0.207486i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 29.9094 | − | 8.01420i | 1.26165 | − | 0.338058i | ||||
\(563\) | −6.20457 | + | 23.1558i | −0.261492 | + | 0.975900i | 0.702871 | + | 0.711317i | \(0.251901\pi\) |
−0.964363 | + | 0.264583i | \(0.914766\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −22.2952 | + | 4.42979i | −0.937965 | + | 0.186363i | ||||
\(566\) | 15.3939i | 0.647053i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.21155 | + | 8.21155i | −0.344549 | + | 0.344549i | ||||
\(569\) | −19.5755 | + | 33.9058i | −0.820648 | + | 1.42140i | 0.0845518 | + | 0.996419i | \(0.473054\pi\) |
−0.905200 | + | 0.424986i | \(0.860279\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.922634 | − | 1.59805i | −0.0386111 | − | 0.0668763i | 0.846074 | − | 0.533065i | \(-0.178960\pi\) |
−0.884685 | + | 0.466189i | \(0.845627\pi\) | |||||||
\(572\) | −1.07912 | − | 4.02731i | −0.0451201 | − | 0.168390i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.7342 | + | 10.7885i | 0.448037 | + | 0.450303i | ||||
\(575\) | −22.5429 | − | 29.4047i | −0.940102 | − | 1.22626i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.70494 | + | 6.36291i | −0.0709774 | + | 0.264891i | −0.992291 | − | 0.123929i | \(-0.960451\pi\) |
0.921314 | + | 0.388820i | \(0.127117\pi\) | |||||||
\(578\) | 1.29725 | − | 4.84140i | 0.0539585 | − | 0.201376i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.15365 | + | 17.5433i | −0.0479026 | + | 0.728447i | ||||
\(581\) | −3.01153 | + | 11.1269i | −0.124939 | + | 0.461620i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.61780 | − | 9.76975i | −0.108418 | − | 0.404622i | ||||
\(584\) | −3.98266 | − | 6.89817i | −0.164804 | − | 0.285448i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.44935 | + | 11.1706i | −0.266420 | + | 0.461453i | ||||
\(587\) | 9.68417 | − | 9.68417i | 0.399709 | − | 0.399709i | −0.478422 | − | 0.878130i | \(-0.658791\pi\) |
0.878130 | + | 0.478422i | \(0.158791\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 58.7633i | 2.42130i | ||||||||
\(590\) | −0.0666339 | − | 0.335369i | −0.00274327 | − | 0.0138069i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.12275 | − | 4.19017i | 0.0461449 | − | 0.172215i | ||||
\(593\) | −22.2249 | + | 5.95514i | −0.912666 | + | 0.244548i | −0.684448 | − | 0.729062i | \(-0.739957\pi\) |
−0.228218 | + | 0.973610i | \(0.573290\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.3783 | + | 6.63727i | 0.794434 | + | 0.272102i | ||||
\(596\) | − | 12.0259i | − | 0.492599i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 24.5403 | + | 6.57555i | 1.00353 | + | 0.268894i | ||||
\(599\) | −12.8665 | − | 22.2855i | −0.525713 | − | 0.910561i | −0.999551 | − | 0.0299496i | \(-0.990465\pi\) |
0.473839 | − | 0.880612i | \(-0.342868\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.224810 | 0.00917019 | 0.00458509 | − | 0.999989i | \(-0.498541\pi\) | ||||
0.00458509 | + | 0.999989i | \(0.498541\pi\) | |||||||
\(602\) | 0.0118657 | − | 4.70510i | 0.000483609 | − | 0.191765i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.27559 | + | 1.31381i | 0.0925925 | + | 0.0534583i | ||||
\(605\) | 9.41212 | + | 19.0963i | 0.382657 | + | 0.776373i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 42.8638 | − | 11.4853i | 1.73979 | − | 0.466175i | 0.757388 | − | 0.652965i | \(-0.226475\pi\) |
0.982400 | + | 0.186791i | \(0.0598086\pi\) | |||||||
\(608\) | −5.98045 | − | 5.98045i | −0.242539 | − | 0.242539i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 22.2867 | − | 19.5364i | 0.902361 | − | 0.791005i | ||||
\(611\) | 22.3664 | + | 12.9132i | 0.904847 | + | 0.522414i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −41.7479 | − | 11.1863i | −1.68618 | − | 0.451811i | −0.716782 | − | 0.697297i | \(-0.754386\pi\) |
−0.969400 | + | 0.245486i | \(0.921053\pi\) | |||||||
\(614\) | −2.10819 | + | 3.65149i | −0.0850796 | + | 0.147362i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.824915 | − | 3.10997i | −0.0332368 | − | 0.125304i | ||||
\(617\) | 0.221996 | − | 0.221996i | 0.00893723 | − | 0.00893723i | −0.702624 | − | 0.711561i | \(-0.747988\pi\) |
0.711561 | + | 0.702624i | \(0.247988\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.04155 | + | 5.22014i | −0.363410 | + | 0.209815i | −0.670576 | − | 0.741841i | \(-0.733953\pi\) |
0.307165 | + | 0.951656i | \(0.400620\pi\) | |||||||
\(620\) | 13.9354 | − | 6.86844i | 0.559659 | − | 0.275843i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 22.5523 | + | 22.5523i | 0.904265 | + | 0.904265i | ||||
\(623\) | −10.1943 | − | 0.0257087i | −0.408425 | − | 0.00103000i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.6929 | + | 17.6624i | −0.707716 | + | 0.706497i | ||||
\(626\) | 14.6676 | − | 8.46836i | 0.586236 | − | 0.338464i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.957870 | − | 3.57482i | −0.0382232 | − | 0.142651i | ||||
\(629\) | −15.0196 | −0.598871 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.1673 | 1.04170 | 0.520851 | − | 0.853647i | \(-0.325615\pi\) | ||||
0.520851 | + | 0.853647i | \(0.325615\pi\) | |||||||
\(632\) | 0.328536 | + | 1.22611i | 0.0130685 | + | 0.0487722i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.15269 | − | 2.97491i | 0.204640 | − | 0.118149i | ||||
\(635\) | 0.833813 | − | 0.165669i | 0.0330889 | − | 0.00657437i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.09447 | + | 23.2125i | 0.241472 | + | 0.919714i | ||||
\(638\) | −6.76116 | − | 6.76116i | −0.267677 | − | 0.267677i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.719217 | + | 2.11725i | −0.0284295 | + | 0.0836915i | ||||
\(641\) | 42.7331 | − | 24.6720i | 1.68785 | − | 0.974484i | 0.731698 | − | 0.681629i | \(-0.238728\pi\) |
0.956157 | − | 0.292855i | \(-0.0946052\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.7760 | + | 27.7760i | −1.09538 | + | 1.09538i | −0.100437 | + | 0.994943i | \(0.532024\pi\) |
−0.994943 | + | 0.100437i | \(0.967976\pi\) | |||||||
\(644\) | 18.9249 | + | 5.12210i | 0.745746 | + | 0.201839i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −14.6416 | + | 25.3600i | −0.576067 | + | 0.997777i | ||||
\(647\) | 12.7135 | + | 3.40657i | 0.499819 | + | 0.133926i | 0.499916 | − | 0.866074i | \(-0.333364\pi\) |
−9.71178e−5 | 1.00000i | \(0.500031\pi\) | ||||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.161045 | + | 0.0929795i | 0.00632158 | + | 0.00364977i | ||||
\(650\) | 2.24485 | − | 16.9947i | 0.0880501 | − | 0.666587i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.866549 | − | 0.866549i | −0.0339367 | − | 0.0339367i | ||||
\(653\) | −25.4252 | + | 6.81266i | −0.994964 | + | 0.266600i | −0.719334 | − | 0.694664i | \(-0.755553\pi\) |
−0.275630 | + | 0.961264i | \(0.588886\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.95586 | − | 1.45688i | 0.115495 | − | 0.0569250i | ||||
\(656\) | 4.98155 | + | 2.87610i | 0.194497 | + | 0.112293i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 17.2350 | + | 10.0087i | 0.671889 | + | 0.390178i | ||||
\(659\) | 10.4789 | 0.408200 | 0.204100 | − | 0.978950i | \(-0.434573\pi\) | ||||
0.204100 | + | 0.978950i | \(0.434573\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.3731 | − | 24.8949i | −0.559049 | − | 0.968301i | −0.997576 | − | 0.0695833i | \(-0.977833\pi\) |
0.438527 | − | 0.898718i | \(-0.355500\pi\) | |||||||
\(662\) | 0.639154 | + | 0.171261i | 0.0248414 | + | 0.00665624i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.35687i | 0.169079i | ||||||||
\(665\) | 41.5272 | + | 27.9123i | 1.61036 | + | 1.08239i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 56.2786 | − | 15.0798i | 2.17912 | − | 0.583893i | ||||
\(668\) | 2.20763 | − | 8.23900i | 0.0854159 | − | 0.318776i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16.8474 | + | 25.2022i | −0.650873 | + | 0.973646i | ||||
\(671\) | 16.1185i | 0.622248i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.998735 | − | 0.998735i | 0.0384984 | − | 0.0384984i | −0.687596 | − | 0.726094i | \(-0.741334\pi\) |
0.726094 | + | 0.687596i | \(0.241334\pi\) | |||||||
\(674\) | −16.2924 | + | 28.2192i | −0.627559 | + | 1.08696i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.622811 | − | 1.07874i | −0.0239543 | − | 0.0414900i | ||||
\(677\) | −8.12350 | − | 30.3173i | −0.312211 | − | 1.16519i | −0.926558 | − | 0.376152i | \(-0.877247\pi\) |
0.614347 | − | 0.789036i | \(-0.289420\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.15356 | − | 11.6516i | 0.121023 | − | 0.447149i | ||||
\(680\) | 7.72535 | + | 0.508018i | 0.296254 | + | 0.0194816i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.18688 | + | 8.16156i | −0.0837401 | + | 0.312522i | ||||
\(683\) | −12.9666 | + | 48.3920i | −0.496154 | + | 1.85167i | 0.0273177 | + | 0.999627i | \(0.491303\pi\) |
−0.523471 | + | 0.852043i | \(0.675363\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.96122 | + | 2.59579i | −0.113142 | + | 0.0991802i | ||||
\(686\) | 4.65792 | + | 17.9249i | 0.177840 | + | 0.684378i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.460275 | − | 1.71777i | −0.0175478 | − | 0.0654893i | ||||
\(689\) | 14.2573 | + | 24.6944i | 0.543160 | + | 0.940781i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.15341 | + | 3.72982i | −0.0819197 | + | 0.141889i | −0.904074 | − | 0.427375i | \(-0.859438\pi\) |
0.822155 | + | 0.569264i | \(0.192772\pi\) | |||||||
\(692\) | −10.0250 | + | 10.0250i | −0.381093 | + | 0.381093i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 12.2201i | − | 0.463869i | ||||||
\(695\) | −34.1385 | − | 22.8213i | −1.29495 | − | 0.865660i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.15466 | − | 19.2375i | 0.195247 | − | 0.728671i | ||||
\(698\) | 10.9467 | − | 2.93315i | 0.414337 | − | 0.111021i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.76542 | − | 13.1104i | 0.0667266 | − | 0.495528i | ||||
\(701\) | 51.8332i | 1.95771i | 0.204545 | + | 0.978857i | \(0.434429\pi\) | ||||
−0.204545 | + | 0.978857i | \(0.565571\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −35.4390 | − | 9.49585i | −1.33661 | − | 0.358143i | ||||
\(704\) | −0.608054 | − | 1.05318i | −0.0229169 | − | 0.0396932i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.64559 | 0.0995682 | ||||||||
\(707\) | −3.97377 | − | 2.30764i | −0.149449 | − | 0.0867877i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.8304 | − | 8.56232i | −0.556967 | − | 0.321565i | 0.194960 | − | 0.980811i | \(-0.437542\pi\) |
−0.751927 | + | 0.659246i | \(0.770875\pi\) | |||||||
\(710\) | 8.35218 | − | 24.5873i | 0.313452 | − | 0.922746i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.72179 | + | 0.997251i | −0.139480 | + | 0.0373736i | ||||
\(713\) | −36.4064 | − | 36.4064i | −1.36343 | − | 1.36343i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.14559 | + | 7.01075i | 0.229832 | + | 0.262187i | ||||
\(716\) | −14.1285 | − | 8.15708i | −0.528006 | − | 0.304844i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.6317 | − | 3.11670i | −0.434091 | − | 0.116314i | ||||
\(719\) | 17.1714 | − | 29.7417i | 0.640385 | − | 1.10918i | −0.344962 | − | 0.938617i | \(-0.612108\pi\) |
0.985347 | − | 0.170563i | \(-0.0545585\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.85070 | − | 7.81120i | 0.292375 | − | 0.290904i | ||||
\(722\) | −37.1455 | + | 37.1455i | −1.38241 | + | 1.38241i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.9042 | − | 6.29554i | 0.405252 | − | 0.233972i | ||||
\(725\) | −15.0287 | − | 36.3268i | −0.558152 | − | 1.34914i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4410 | + | 10.4410i | 0.387235 | + | 0.387235i | 0.873700 | − | 0.486465i | \(-0.161714\pi\) |
−0.486465 | + | 0.873700i | \(0.661714\pi\) | |||||||
\(728\) | 4.51561 | + | 7.86701i | 0.167360 | + | 0.291571i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.8072 | + | 9.89845i | 0.548038 | + | 0.366358i | ||||
\(731\) | −5.33238 | + | 3.07865i | −0.197225 | + | 0.113868i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.61601 | + | 17.2272i | 0.170496 | + | 0.636301i | 0.997275 | + | 0.0737734i | \(0.0235042\pi\) |
−0.826779 | + | 0.562527i | \(0.809829\pi\) | |||||||
\(734\) | 15.3865 | 0.567925 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.41030 | 0.273147 | ||||||||
\(737\) | −4.26715 | − | 15.9252i | −0.157183 | − | 0.586613i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −37.8189 | + | 21.8348i | −1.39119 | + | 0.803204i | −0.993447 | − | 0.114292i | \(-0.963540\pi\) |
−0.397744 | + | 0.917497i | \(0.630207\pi\) | |||||||
\(740\) | 1.89033 | + | 9.51406i | 0.0694900 | + | 0.349744i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.9543 | + | 19.0844i | 0.402145 | + | 0.700609i | ||||
\(743\) | 13.7573 | + | 13.7573i | 0.504707 | + | 0.504707i | 0.912897 | − | 0.408190i | \(-0.133840\pi\) |
−0.408190 | + | 0.912897i | \(0.633840\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.8883 | + | 24.1201i | 0.435552 | + | 0.883692i | ||||
\(746\) | 20.3786 | − | 11.7656i | 0.746112 | − | 0.430768i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.97733 | + | 2.97733i | −0.108862 | + | 0.108862i | ||||
\(749\) | 15.1731 | − | 15.0967i | 0.554412 | − | 0.551622i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.63361 | + | 6.29360i | −0.132592 | + | 0.229657i | −0.924675 | − | 0.380757i | \(-0.875663\pi\) |
0.792083 | + | 0.610414i | \(0.208997\pi\) | |||||||
\(752\) | 7.27627 | + | 1.94967i | 0.265338 | + | 0.0710972i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 23.3450 | + | 13.4783i | 0.850176 | + | 0.490849i | ||||
\(755\) | −5.86289 | − | 0.385543i | −0.213372 | − | 0.0140313i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.4397 | − | 32.4397i | −1.17904 | − | 1.17904i | −0.979989 | − | 0.199051i | \(-0.936214\pi\) |
−0.199051 | − | 0.979989i | \(-0.563786\pi\) | |||||||
\(758\) | −4.06715 | + | 1.08979i | −0.147726 | + | 0.0395830i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.9069 | + | 6.08287i | 0.649551 | + | 0.220649i | ||||
\(761\) | −35.4954 | − | 20.4933i | −1.28671 | − | 0.742882i | −0.308643 | − | 0.951178i | \(-0.599875\pi\) |
−0.978066 | + | 0.208296i | \(0.933208\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.26600 | + | 1.89662i | 0.118237 | + | 0.0686624i | ||||
\(764\) | −8.88346 | −0.321392 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.13819 | + | 14.0958i | 0.294045 | + | 0.509301i | ||||
\(767\) | −0.506394 | − | 0.135688i | −0.0182848 | − | 0.00489941i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 46.8719i | − | 1.69025i | −0.534573 | − | 0.845123i | \(-0.679527\pi\) | ||
0.534573 | − | 0.845123i | \(-0.320473\pi\) | |||||||
\(770\) | 4.72890 | + | 5.42214i | 0.170418 | + | 0.195400i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −22.4807 | + | 6.02367i | −0.809096 | + | 0.216797i | ||||
\(773\) | −11.7154 | + | 43.7224i | −0.421373 | + | 1.57258i | 0.350346 | + | 0.936620i | \(0.386064\pi\) |
−0.771719 | + | 0.635964i | \(0.780603\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.1601 | + | 27.5518i | −0.760094 | + | 0.989691i | ||||
\(776\) | − | 4.56236i | − | 0.163779i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.4454 | + | 11.4454i | −0.410339 | + | 0.410339i | ||||
\(779\) | 24.3250 | − | 42.1322i | 0.871534 | − | 1.50954i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.06126 | + | 12.2305i | 0.252672 | + | 0.437640i | ||||
\(782\) | −6.64052 | − | 24.7828i | −0.237464 | − | 0.886230i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.46938 | + | 6.07975i | 0.123906 | + | 0.217134i | ||||
\(785\) | 5.45509 | + | 6.22304i | 0.194701 | + | 0.222110i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.27006 | − | 27.1322i | 0.259150 | − | 0.967159i | −0.706585 | − | 0.707628i | \(-0.749765\pi\) |
0.965735 | − | 0.259531i | \(-0.0835680\pi\) | |||||||
\(788\) | −4.59140 | + | 17.1353i | −0.163562 | + | 0.610421i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.87102 | − | 2.13442i | −0.0665679 | − | 0.0759391i | ||||
\(791\) | −7.02660 | + | 25.9616i | −0.249837 | + | 0.923087i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.7611 | − | 43.8931i | −0.417650 | − | 1.55869i | ||||
\(794\) | −4.69740 | − | 8.13614i | −0.166705 | − | 0.288741i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.29554 | − | 14.3683i | 0.294028 | − | 0.509271i | ||||
\(797\) | −22.4695 | + | 22.4695i | −0.795910 | + | 0.795910i | −0.982448 | − | 0.186538i | \(-0.940273\pi\) |
0.186538 | + | 0.982448i | \(0.440273\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 26.0817i | − | 0.922703i | ||||||
\(800\) | −0.650495 | − | 4.95751i | −0.0229985 | − | 0.175274i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.32558 | − | 16.1433i | 0.152741 | − | 0.570039i | ||||
\(803\) | −9.35662 | + | 2.50710i | −0.330188 | + | 0.0884736i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −43.0208 | + | 8.43502i | −1.51628 | + | 0.297295i | ||||
\(806\) | − | 23.8208i | − | 0.839053i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.67765 | − | 0.449524i | −0.0590195 | − | 0.0158142i | ||||
\(809\) | −3.54696 | − | 6.14352i | −0.124705 | − | 0.215995i | 0.796913 | − | 0.604094i | \(-0.206465\pi\) |
−0.921617 | + | 0.388100i | \(0.873132\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.3597 | −1.59279 | −0.796396 | − | 0.604775i | \(-0.793263\pi\) | ||||
−0.796396 | + | 0.604775i | \(0.793263\pi\) | |||||||
\(812\) | 17.9891 | + | 10.4466i | 0.631294 | + | 0.366603i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.56868 | − | 2.63773i | −0.160132 | − | 0.0924524i | ||||
\(815\) | 2.59465 | + | 0.881389i | 0.0908867 | + | 0.0308737i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.5283 | + | 3.89284i | −0.508280 | + | 0.136193i | ||||
\(818\) | 10.7008 | + | 10.7008i | 0.374144 | + | 0.374144i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.8346 | − | 0.844001i | −0.448203 | − | 0.0294738i | ||||
\(821\) | 28.0252 | + | 16.1803i | 0.978086 | + | 0.564698i | 0.901692 | − | 0.432380i | \(-0.142326\pi\) |
0.0763940 | + | 0.997078i | \(0.475659\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −50.1497 | − | 13.4376i | −1.74811 | − | 0.468404i | −0.763888 | − | 0.645349i | \(-0.776712\pi\) |
−0.984221 | + | 0.176944i | \(0.943379\pi\) | |||||||
\(824\) | 2.09292 | − | 3.62504i | 0.0729102 | − | 0.126284i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.390520 | − | 0.105696i | −0.0135879 | − | 0.00367763i | ||||
\(827\) | 20.0870 | − | 20.0870i | 0.698493 | − | 0.698493i | −0.265593 | − | 0.964085i | \(-0.585568\pi\) |
0.964085 | + | 0.265593i | \(0.0855676\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.4368 | − | 6.60303i | 0.397216 | − | 0.229333i | −0.288066 | − | 0.957611i | \(-0.593012\pi\) |
0.685282 | + | 0.728278i | \(0.259679\pi\) | |||||||
\(830\) | −4.30701 | − | 8.73849i | −0.149498 | − | 0.303318i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.42429 | + | 2.42429i | 0.0840472 | + | 0.0840472i | ||||
\(833\) | 17.2239 | − | 17.0511i | 0.596774 | − | 0.590784i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.71690 | + | 18.7072i | 0.128629 | + | 0.647389i | ||||
\(836\) | −8.90742 | + | 5.14270i | −0.308069 | + | 0.177864i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.32570 | − | 12.4117i | −0.114885 | − | 0.428755i | ||||
\(839\) | 30.5399 | 1.05435 | 0.527177 | − | 0.849756i | \(-0.323251\pi\) | ||||
0.527177 | + | 0.849756i | \(0.323251\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.8198 | 1.13172 | ||||||||
\(842\) | −0.878482 | − | 3.27854i | −0.0302745 | − | 0.112986i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.02726 | + | 4.63454i | −0.276310 | + | 0.159527i | ||||
\(845\) | 2.31556 | + | 1.54793i | 0.0796575 | + | 0.0532503i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 25.1903 | + | 0.0635270i | 0.865550 | + | 0.00218281i | ||||
\(848\) | 5.88102 | + | 5.88102i | 0.201955 | + | 0.201955i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −15.9968 | + | 6.61801i | −0.548685 | + | 0.226996i | ||||
\(851\) | 27.8391 | − | 16.0729i | 0.954311 | − | 0.550972i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.7166 | − | 19.7166i | 0.675085 | − | 0.675085i | −0.283799 | − | 0.958884i | \(-0.591595\pi\) |
0.958884 | + | 0.283799i | \(0.0915948\pi\) | |||||||
\(854\) | −8.99063 | − | 33.8952i | −0.307653 | − | 1.15987i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.04498 | − | 7.00612i | 0.138255 | − | 0.239464i | ||||
\(857\) | 3.42197 | + | 0.916913i | 0.116892 | + | 0.0313211i | 0.316791 | − | 0.948495i | \(-0.397395\pi\) |
−0.199899 | + | 0.979817i | \(0.564061\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.5474 | + | 15.3272i | 0.905786 | + | 0.522956i | 0.879073 | − | 0.476687i | \(-0.158163\pi\) |
0.0267132 | + | 0.999643i | \(0.491496\pi\) | |||||||
\(860\) | 2.62127 | + | 2.99029i | 0.0893847 | + | 0.101968i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.42688 | + | 4.42688i | 0.150780 | + | 0.150780i | ||||
\(863\) | 34.2710 | − | 9.18288i | 1.16660 | − | 0.312589i | 0.376999 | − | 0.926214i | \(-0.376956\pi\) |
0.789598 | + | 0.613625i | \(0.210289\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.1967 | − | 30.0172i | 0.346697 | − | 1.02062i | ||||
\(866\) | 4.19705 | + | 2.42317i | 0.142622 | + | 0.0823426i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.0463585 | − | 18.3825i | 0.00157351 | − | 0.623943i | ||||
\(869\) | 1.54369 | 0.0523659 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 23.2402 | + | 40.2532i | 0.787464 | + | 1.36393i | ||||
\(872\) | 1.37884 | + | 0.369460i | 0.0466935 | + | 0.0125115i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 62.6736i | − | 2.11997i | ||||||
\(875\) | 9.41951 | + | 28.0406i | 0.318438 | + | 0.947944i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −45.4980 | + | 12.1912i | −1.53636 | + | 0.411666i | −0.925088 | − | 0.379754i | \(-0.876009\pi\) |
−0.611272 | + | 0.791420i | \(0.709342\pi\) | |||||||
\(878\) | −4.84198 | + | 18.0705i | −0.163409 | + | 0.609850i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.26069 | + | 1.51125i | 0.0762078 | + | 0.0509442i | ||||
\(881\) | 9.98426i | 0.336378i | 0.985755 | + | 0.168189i | \(0.0537919\pi\) | ||||
−0.985755 | + | 0.168189i | \(0.946208\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.5377 | − | 36.5377i | 1.22959 | − | 1.22959i | 0.265475 | − | 0.964118i | \(-0.414471\pi\) |
0.964118 | − | 0.265475i | \(-0.0855287\pi\) | |||||||
\(884\) | 5.93526 | − | 10.2802i | 0.199624 | − | 0.345760i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.7868 | − | 30.8077i | −0.597560 | − | 1.03500i | ||||
\(887\) | 8.81052 | + | 32.8813i | 0.295828 | + | 1.10405i | 0.940557 | + | 0.339635i | \(0.110304\pi\) |
−0.644729 | + | 0.764411i | \(0.723030\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.262787 | − | 0.970933i | 0.00881358 | − | 0.0325640i | ||||
\(890\) | 6.47889 | − | 5.67936i | 0.217173 | − | 0.190373i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.87968 | + | 18.2112i | −0.163384 | + | 0.609757i | ||||
\(893\) | 16.4896 | − | 61.5401i | 0.551804 | − | 2.05936i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 36.4010 | + | 2.39372i | 1.21675 | + | 0.0800133i | ||||
\(896\) | 1.86610 | + | 1.87554i | 0.0623422 | + | 0.0626574i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.40356 | + | 5.23815i | 0.0468374 | + | 0.174799i | ||||
\(899\) | −27.3144 | − | 47.3099i | −0.910985 | − | 1.57787i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.3982 | − | 24.9384i | 0.479673 | − | 0.830818i | ||||
\(902\) | 4.94642 | − | 4.94642i | 0.164698 | − | 0.164698i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.1656i | 0.338103i | ||||||||
\(905\) | −15.6469 | + | 23.4063i | −0.520119 | + | 0.778051i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.57647 | − | 28.2758i | 0.251573 | − | 0.938882i | −0.718392 | − | 0.695638i | \(-0.755122\pi\) |
0.969965 | − | 0.243244i | \(-0.0782116\pi\) | |||||||
\(908\) | 4.51783 | − | 1.21055i | 0.149930 | − | 0.0401735i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −16.8339 | − | 11.3148i | −0.558037 | − | 0.375082i | ||||
\(911\) | 35.9935i | 1.19252i | 0.802792 | + | 0.596259i | \(0.203347\pi\) | ||||
−0.802792 | + | 0.596259i | \(0.796653\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.11788 | + | 1.37133i | 0.169377 | + | 0.0453845i | ||||
\(914\) | 9.11261 | + | 15.7835i | 0.301418 | + | 0.522072i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −21.9504 | −0.725262 | ||||||||
\(917\) | 0.00983319 | − | 3.89915i | 0.000324720 | − | 0.128761i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.3314 | + | 5.96485i | 0.340802 | + | 0.196762i | 0.660627 | − | 0.750714i | \(-0.270291\pi\) |
−0.319824 | + | 0.947477i | \(0.603624\pi\) | |||||||
\(920\) | −14.8627 | + | 7.32549i | −0.490009 | + | 0.241514i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.89881 | + | 2.38443i | −0.293067 | + | 0.0785270i | ||||
\(923\) | −28.1530 | − | 28.1530i | −0.926668 | − | 0.926668i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.1966 | − | 17.2135i | −0.433901 | − | 0.565976i | ||||
\(926\) | 15.5387 | + | 8.97126i | 0.510633 | + | 0.294814i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.59465 | + | 2.03498i | 0.249307 | + | 0.0668015i | ||||
\(929\) | −4.36844 | + | 7.56637i | −0.143324 | + | 0.248244i | −0.928746 | − | 0.370716i | \(-0.879112\pi\) |
0.785422 | + | 0.618960i | \(0.212446\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 51.4204 | − | 29.3428i | 1.68523 | − | 0.961670i | ||||
\(932\) | −20.8679 | + | 20.8679i | −0.683551 | + | 0.683551i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.2035 | + | 7.62304i | −0.432032 | + | 0.249434i | ||||
\(935\) | 3.02832 | − | 8.91483i | 0.0990366 | − | 0.291546i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.98130 | + | 2.98130i | 0.0973949 | + | 0.0973949i | 0.754125 | − | 0.656730i | \(-0.228061\pi\) |
−0.656730 | + | 0.754125i | \(0.728061\pi\) | |||||||
\(938\) | 17.8561 | + | 31.1086i | 0.583022 | + | 1.01573i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −16.5212 | + | 3.28258i | −0.538864 | + | 0.107066i | ||||
\(941\) | 13.6741 | − | 7.89476i | 0.445764 | − | 0.257362i | −0.260276 | − | 0.965534i | \(-0.583813\pi\) |
0.706039 | + | 0.708173i | \(0.250480\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.0323 | + | 41.1731i | 0.359261 | + | 1.34078i | ||||
\(944\) | −0.152913 | −0.00497690 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.16268 | −0.0703149 | ||||||||
\(947\) | −5.18506 | − | 19.3509i | −0.168492 | − | 0.628820i | −0.997569 | − | 0.0696859i | \(-0.977800\pi\) |
0.829077 | − | 0.559134i | \(-0.188866\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 23.6501 | − | 13.6544i | 0.767716 | − | 0.443241i | ||||
\(950\) | −41.9288 | + | 5.50165i | −1.36035 | + | 0.178497i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.60024 | − | 7.92165i | 0.149095 | − | 0.256742i | ||||
\(953\) | 10.2016 | + | 10.2016i | 0.330461 | + | 0.330461i | 0.852762 | − | 0.522300i | \(-0.174926\pi\) |
−0.522300 | + | 0.852762i | \(0.674926\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17.8174 | − | 8.78179i | 0.576557 | − | 0.284172i | ||||
\(956\) | 15.8369 | − | 9.14344i | 0.512202 | − | 0.295720i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 19.1947 | − | 19.1947i | 0.620151 | − | 0.620151i | ||||
\(959\) | 1.19458 | + | 4.50364i | 0.0385750 | + | 0.145430i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.63707 | + | 14.9598i | −0.278615 | + | 0.482576i | ||||
\(962\) | 14.3659 | + | 3.84932i | 0.463174 | + | 0.124107i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.9675 | + | 8.64147i | 0.482070 | + | 0.278323i | ||||
\(965\) | 39.1343 | − | 34.3049i | 1.25978 | − | 1.10432i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.0589 | + | 13.0589i | 0.419945 | + | 0.419945i | 0.885185 | − | 0.465240i | \(-0.154032\pi\) |
−0.465240 | + | 0.885185i | \(0.654032\pi\) | |||||||
\(968\) | 9.19666 | − | 2.46424i | 0.295592 | − | 0.0792036i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.51014 | + | 9.15064i | 0.144812 | + | 0.293809i | ||||
\(971\) | 17.0295 | + | 9.83200i | 0.546503 | + | 0.315524i | 0.747710 | − | 0.664025i | \(-0.231153\pi\) |
−0.201207 | + | 0.979549i | \(0.564486\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −42.1392 | + | 24.1876i | −1.35092 | + | 0.775418i | ||||
\(974\) | 20.2338 | 0.648334 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.62709 | − | 11.4785i | −0.212128 | − | 0.367416i | ||||
\(977\) | −12.1866 | − | 3.26540i | −0.389885 | − | 0.104469i | 0.0585507 | − | 0.998284i | \(-0.481352\pi\) |
−0.448436 | + | 0.893815i | \(0.648019\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.68576i | 0.149758i | ||||||||
\(980\) | −12.9686 | − | 8.76438i | −0.414268 | − | 0.279968i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 21.8374 | − | 5.85131i | 0.696859 | − | 0.186723i | ||||
\(983\) | −7.23418 | + | 26.9983i | −0.230735 | + | 0.861113i | 0.749291 | + | 0.662241i | \(0.230395\pi\) |
−0.980025 | + | 0.198872i | \(0.936272\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.73034 | − | 38.9069i | −0.246309 | − | 1.23968i | ||||
\(986\) | − | 27.2229i | − | 0.866953i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.5038 | − | 20.5038i | 0.652312 | − | 0.652312i | ||||
\(989\) | 6.58911 | − | 11.4127i | 0.209522 | − | 0.362902i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.37792 | − | 7.58278i | −0.139069 | − | 0.240875i | 0.788075 | − | 0.615579i | \(-0.211078\pi\) |
−0.927145 | + | 0.374704i | \(0.877744\pi\) | |||||||
\(992\) | −1.79826 | − | 6.71121i | −0.0570949 | − | 0.213081i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −21.6709 | − | 21.7804i | −0.687358 | − | 0.690833i | ||||
\(995\) | −2.43435 | + | 37.0188i | −0.0771742 | + | 1.17358i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.3759 | + | 42.4554i | −0.360278 | + | 1.34458i | 0.513433 | + | 0.858130i | \(0.328373\pi\) |
−0.873711 | + | 0.486445i | \(0.838293\pi\) | |||||||
\(998\) | 1.75600 | − | 6.55349i | 0.0555853 | − | 0.207447i | ||||
\(999\) | 0 | 0 |
(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 | 630.2.ce.c.107.7 | yes | 32 | |
3.2 | odd | 2 | inner | 630.2.ce.c.107.2 | yes | 32 | |
5.3 | odd | 4 | inner | 630.2.ce.c.233.5 | yes | 32 | |
7.4 | even | 3 | inner | 630.2.ce.c.557.4 | yes | 32 | |
15.8 | even | 4 | inner | 630.2.ce.c.233.4 | yes | 32 | |
21.11 | odd | 6 | inner | 630.2.ce.c.557.5 | yes | 32 | |
35.18 | odd | 12 | inner | 630.2.ce.c.53.2 | ✓ | 32 | |
105.53 | even | 12 | inner | 630.2.ce.c.53.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.ce.c.53.2 | ✓ | 32 | 35.18 | odd | 12 | inner | |
630.2.ce.c.53.7 | yes | 32 | 105.53 | even | 12 | inner | |
630.2.ce.c.107.2 | yes | 32 | 3.2 | odd | 2 | inner | |
630.2.ce.c.107.7 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.ce.c.233.4 | yes | 32 | 15.8 | even | 4 | inner | |
630.2.ce.c.233.5 | yes | 32 | 5.3 | odd | 4 | inner | |
630.2.ce.c.557.4 | yes | 32 | 7.4 | even | 3 | inner | |
630.2.ce.c.557.5 | yes | 32 | 21.11 | odd | 6 | inner |