Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.14 | ||
Character | \(\chi\) | \(=\) | 336.37 |
Dual form | 336.2.bq.b.109.14 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.244495 | − | 1.39292i | −0.172884 | − | 0.984942i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | −1.88044 | + | 0.681122i | −0.940222 | + | 0.340561i | ||||
\(5\) | −3.28948 | + | 0.881413i | −1.47110 | + | 0.394180i | −0.903308 | − | 0.428992i | \(-0.858869\pi\) |
−0.567792 | + | 0.823172i | \(0.692202\pi\) | |||||||
\(6\) | 0.124350 | − | 1.40874i | 0.0507658 | − | 0.575114i | ||||
\(7\) | 2.12312 | + | 1.57873i | 0.802462 | + | 0.596703i | ||||
\(8\) | 1.40851 | + | 2.45278i | 0.497982 | + | 0.867187i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 2.03200 | + | 4.36648i | 0.642574 | + | 1.38080i | ||||
\(11\) | −1.25556 | + | 4.68583i | −0.378567 | + | 1.41283i | 0.469495 | + | 0.882935i | \(0.344436\pi\) |
−0.848062 | + | 0.529896i | \(0.822231\pi\) | |||||||
\(12\) | −1.99266 | + | 0.171219i | −0.575231 | + | 0.0494266i | ||||
\(13\) | 1.85406 | − | 1.85406i | 0.514223 | − | 0.514223i | −0.401595 | − | 0.915818i | \(-0.631544\pi\) |
0.915818 | + | 0.401595i | \(0.131544\pi\) | |||||||
\(14\) | 1.67995 | − | 3.34332i | 0.448985 | − | 0.893539i | ||||
\(15\) | −3.40552 | −0.879301 | ||||||||
\(16\) | 3.07214 | − | 2.56163i | 0.768036 | − | 0.640406i | ||||
\(17\) | 1.09108 | + | 1.88981i | 0.264627 | + | 0.458347i | 0.967466 | − | 0.253002i | \(-0.0814179\pi\) |
−0.702839 | + | 0.711349i | \(0.748085\pi\) | |||||||
\(18\) | 0.484721 | − | 1.32855i | 0.114250 | − | 0.313142i | ||||
\(19\) | 0.974725 | + | 3.63772i | 0.223617 | + | 0.834551i | 0.982954 | + | 0.183853i | \(0.0588570\pi\) |
−0.759336 | + | 0.650698i | \(0.774476\pi\) | |||||||
\(20\) | 5.58533 | − | 3.89799i | 1.24892 | − | 0.871616i | ||||
\(21\) | 1.64217 | + | 2.07444i | 0.358350 | + | 0.452679i | ||||
\(22\) | 6.83396 | + | 0.603239i | 1.45701 | + | 0.128611i | ||||
\(23\) | 1.98367 | + | 1.14527i | 0.413624 | + | 0.238806i | 0.692346 | − | 0.721566i | \(-0.256577\pi\) |
−0.278722 | + | 0.960372i | \(0.589911\pi\) | |||||||
\(24\) | 0.725688 | + | 2.73375i | 0.148130 | + | 0.558024i | ||||
\(25\) | 5.71366 | − | 3.29878i | 1.14273 | − | 0.659756i | ||||
\(26\) | −3.03586 | − | 2.12924i | −0.595381 | − | 0.417579i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | −5.06771 | − | 1.52261i | −0.957707 | − | 0.287746i | ||||
\(29\) | −5.15275 | + | 5.15275i | −0.956841 | + | 0.956841i | −0.999106 | − | 0.0422650i | \(-0.986543\pi\) |
0.0422650 | + | 0.999106i | \(0.486543\pi\) | |||||||
\(30\) | 0.832631 | + | 4.74361i | 0.152017 | + | 0.866061i | ||||
\(31\) | −4.18332 | − | 7.24573i | −0.751347 | − | 1.30137i | −0.947170 | − | 0.320732i | \(-0.896071\pi\) |
0.195823 | − | 0.980639i | \(-0.437262\pi\) | |||||||
\(32\) | −4.31926 | − | 3.65294i | −0.763544 | − | 0.645755i | ||||
\(33\) | −2.42556 | + | 4.20120i | −0.422237 | + | 0.731335i | ||||
\(34\) | 2.36559 | − | 1.98184i | 0.405696 | − | 0.339883i | ||||
\(35\) | −8.37546 | − | 3.32185i | −1.41571 | − | 0.561495i | ||||
\(36\) | −1.96907 | − | 0.350353i | −0.328179 | − | 0.0583922i | ||||
\(37\) | −5.63174 | + | 1.50902i | −0.925852 | + | 0.248081i | −0.690085 | − | 0.723728i | \(-0.742427\pi\) |
−0.235767 | + | 0.971810i | \(0.575760\pi\) | |||||||
\(38\) | 4.82874 | − | 2.24712i | 0.783325 | − | 0.364530i | ||||
\(39\) | 2.27075 | − | 1.31102i | 0.363610 | − | 0.209931i | ||||
\(40\) | −6.79516 | − | 6.82688i | −1.07441 | − | 1.07942i | ||||
\(41\) | 5.68268i | 0.887485i | 0.896154 | + | 0.443743i | \(0.146350\pi\) | ||||
−0.896154 | + | 0.443743i | \(0.853650\pi\) | |||||||
\(42\) | 2.48802 | − | 2.79459i | 0.383910 | − | 0.431215i | ||||
\(43\) | 6.30422 | + | 6.30422i | 0.961385 | + | 0.961385i | 0.999282 | − | 0.0378969i | \(-0.0120658\pi\) |
−0.0378969 | + | 0.999282i | \(0.512066\pi\) | |||||||
\(44\) | −0.830604 | − | 9.66664i | −0.125218 | − | 1.45730i | ||||
\(45\) | −3.28948 | − | 0.881413i | −0.490367 | − | 0.131393i | ||||
\(46\) | 1.11028 | − | 3.04311i | 0.163701 | − | 0.448682i | ||||
\(47\) | 4.68925 | − | 8.12201i | 0.683997 | − | 1.18472i | −0.289754 | − | 0.957101i | \(-0.593573\pi\) |
0.973751 | − | 0.227616i | \(-0.0730932\pi\) | |||||||
\(48\) | 3.63046 | − | 1.67921i | 0.524012 | − | 0.242373i | ||||
\(49\) | 2.01524 | + | 6.70364i | 0.287892 | + | 0.957663i | ||||
\(50\) | −5.99189 | − | 7.15212i | −0.847381 | − | 1.01146i | ||||
\(51\) | 0.564787 | + | 2.10781i | 0.0790860 | + | 0.295153i | ||||
\(52\) | −2.22361 | + | 4.74929i | −0.308360 | + | 0.658608i | ||||
\(53\) | 1.35381 | − | 5.05248i | 0.185960 | − | 0.694012i | −0.808463 | − | 0.588547i | \(-0.799700\pi\) |
0.994423 | − | 0.105465i | \(-0.0336331\pi\) | |||||||
\(54\) | 0.812058 | − | 1.15783i | 0.110507 | − | 0.157560i | ||||
\(55\) | − | 16.5206i | − | 2.22764i | ||||||
\(56\) | −0.881841 | + | 7.43117i | −0.117841 | + | 0.993032i | ||||
\(57\) | 3.76605i | 0.498825i | ||||||||
\(58\) | 8.43718 | + | 5.91754i | 1.10786 | + | 0.777011i | ||||
\(59\) | 2.88009 | − | 10.7486i | 0.374955 | − | 1.39935i | −0.478455 | − | 0.878112i | \(-0.658803\pi\) |
0.853410 | − | 0.521240i | \(-0.174530\pi\) | |||||||
\(60\) | 6.40389 | − | 2.31957i | 0.826739 | − | 0.299456i | ||||
\(61\) | 0.798623 | + | 2.98050i | 0.102253 | + | 0.381614i | 0.998019 | − | 0.0629121i | \(-0.0200388\pi\) |
−0.895766 | + | 0.444526i | \(0.853372\pi\) | |||||||
\(62\) | −9.06991 | + | 7.59857i | −1.15188 | + | 0.965019i | ||||
\(63\) | 1.04931 | + | 2.42878i | 0.132200 | + | 0.305997i | ||||
\(64\) | −4.03222 | + | 6.90950i | −0.504027 | + | 0.863688i | ||||
\(65\) | −4.46469 | + | 7.73307i | −0.553777 | + | 0.959169i | ||||
\(66\) | 6.44497 | + | 2.35144i | 0.793321 | + | 0.289443i | ||||
\(67\) | −5.28227 | − | 1.41538i | −0.645332 | − | 0.172916i | −0.0787144 | − | 0.996897i | \(-0.525082\pi\) |
−0.566617 | + | 0.823981i | \(0.691748\pi\) | |||||||
\(68\) | −3.33892 | − | 2.81053i | −0.404903 | − | 0.340827i | ||||
\(69\) | 1.61966 | + | 1.61966i | 0.194984 | + | 0.194984i | ||||
\(70\) | −2.57931 | + | 12.4785i | −0.308286 | + | 1.49147i | ||||
\(71\) | − | 3.87486i | − | 0.459861i | −0.973207 | − | 0.229930i | \(-0.926150\pi\) | ||
0.973207 | − | 0.229930i | \(-0.0738499\pi\) | |||||||
\(72\) | −0.00658550 | + | 2.82842i | −0.000776108 | + | 0.333332i | ||||
\(73\) | 5.68689 | − | 3.28333i | 0.665600 | − | 0.384284i | −0.128807 | − | 0.991670i | \(-0.541115\pi\) |
0.794407 | + | 0.607385i | \(0.207782\pi\) | |||||||
\(74\) | 3.47887 | + | 7.47561i | 0.404411 | + | 0.869022i | ||||
\(75\) | 6.37275 | − | 1.70757i | 0.735862 | − | 0.197174i | ||||
\(76\) | −4.31065 | − | 6.17663i | −0.494466 | − | 0.708508i | ||||
\(77\) | −10.0634 | + | 7.96637i | −1.14683 | + | 0.907852i | ||||
\(78\) | −2.38132 | − | 2.84243i | −0.269632 | − | 0.321842i | ||||
\(79\) | −7.37356 | + | 12.7714i | −0.829591 | + | 1.43689i | 0.0687690 | + | 0.997633i | \(0.478093\pi\) |
−0.898360 | + | 0.439261i | \(0.855240\pi\) | |||||||
\(80\) | −7.84791 | + | 11.1342i | −0.877422 | + | 1.24485i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 7.91551 | − | 1.38938i | 0.874122 | − | 0.153432i | ||||
\(83\) | 8.64495 | − | 8.64495i | 0.948906 | − | 0.948906i | −0.0498506 | − | 0.998757i | \(-0.515875\pi\) |
0.998757 | + | 0.0498506i | \(0.0158745\pi\) | |||||||
\(84\) | −4.50095 | − | 2.78235i | −0.491094 | − | 0.303579i | ||||
\(85\) | −5.25480 | − | 5.25480i | −0.569964 | − | 0.569964i | ||||
\(86\) | 7.23992 | − | 10.3226i | 0.780701 | − | 1.11312i | ||||
\(87\) | −6.31080 | + | 3.64354i | −0.676589 | + | 0.390629i | ||||
\(88\) | −13.2618 | + | 3.52041i | −1.41371 | + | 0.375276i | ||||
\(89\) | −8.73882 | − | 5.04536i | −0.926313 | − | 0.534807i | −0.0406691 | − | 0.999173i | \(-0.512949\pi\) |
−0.885643 | + | 0.464366i | \(0.846282\pi\) | |||||||
\(90\) | −0.423477 | + | 4.79748i | −0.0446384 | + | 0.505699i | ||||
\(91\) | 6.86343 | − | 1.00933i | 0.719483 | − | 0.105806i | ||||
\(92\) | −4.51026 | − | 0.802501i | −0.470227 | − | 0.0836665i | ||||
\(93\) | −2.16545 | − | 8.08156i | −0.224546 | − | 0.838019i | ||||
\(94\) | −12.4598 | − | 4.54595i | −1.28513 | − | 0.468879i | ||||
\(95\) | −6.41268 | − | 11.1071i | −0.657927 | − | 1.13956i | ||||
\(96\) | −3.22663 | − | 4.64638i | −0.329317 | − | 0.474219i | ||||
\(97\) | 4.63410 | 0.470522 | 0.235261 | − | 0.971932i | \(-0.424406\pi\) | ||||
0.235261 | + | 0.971932i | \(0.424406\pi\) | |||||||
\(98\) | 8.84491 | − | 4.44607i | 0.893471 | − | 0.449121i | ||||
\(99\) | −3.43027 | + | 3.43027i | −0.344755 | + | 0.344755i | ||||
\(100\) | −8.49734 | + | 10.0949i | −0.849734 | + | 1.00949i | ||||
\(101\) | −1.01769 | + | 3.79807i | −0.101264 | + | 0.377922i | −0.997895 | − | 0.0648572i | \(-0.979341\pi\) |
0.896631 | + | 0.442779i | \(0.146007\pi\) | |||||||
\(102\) | 2.79792 | − | 1.30205i | 0.277036 | − | 0.128922i | ||||
\(103\) | 4.31460 | + | 2.49103i | 0.425130 | + | 0.245449i | 0.697270 | − | 0.716809i | \(-0.254398\pi\) |
−0.272140 | + | 0.962258i | \(0.587731\pi\) | |||||||
\(104\) | 7.15904 | + | 1.93613i | 0.702001 | + | 0.189854i | ||||
\(105\) | −7.23031 | − | 5.37639i | −0.705606 | − | 0.524682i | ||||
\(106\) | −7.36870 | − | 0.650441i | −0.715711 | − | 0.0631764i | ||||
\(107\) | −4.18591 | + | 1.12161i | −0.404667 | + | 0.108430i | −0.455410 | − | 0.890282i | \(-0.650507\pi\) |
0.0507438 | + | 0.998712i | \(0.483841\pi\) | |||||||
\(108\) | −1.81130 | − | 0.848049i | −0.174293 | − | 0.0816036i | ||||
\(109\) | 11.0855 | + | 2.97036i | 1.06180 | + | 0.284509i | 0.747121 | − | 0.664688i | \(-0.231436\pi\) |
0.314681 | + | 0.949197i | \(0.398102\pi\) | |||||||
\(110\) | −23.0119 | + | 4.03920i | −2.19410 | + | 0.385123i | ||||
\(111\) | −5.83041 | −0.553398 | ||||||||
\(112\) | 10.5666 | − | 0.588549i | 0.998452 | − | 0.0556126i | ||||
\(113\) | 20.9027 | 1.96637 | 0.983183 | − | 0.182625i | \(-0.0584595\pi\) | ||||
0.983183 | + | 0.182625i | \(0.0584595\pi\) | |||||||
\(114\) | 5.24580 | − | 0.920779i | 0.491314 | − | 0.0862388i | ||||
\(115\) | −7.53471 | − | 2.01892i | −0.702615 | − | 0.188265i | ||||
\(116\) | 6.17981 | − | 13.1991i | 0.573781 | − | 1.22551i | ||||
\(117\) | 2.53269 | − | 0.678632i | 0.234147 | − | 0.0627395i | ||||
\(118\) | −15.6761 | − | 1.38374i | −1.44310 | − | 0.127384i | ||||
\(119\) | −0.667001 | + | 5.73482i | −0.0611439 | + | 0.525710i | ||||
\(120\) | −4.79670 | − | 8.35298i | −0.437876 | − | 0.762519i | ||||
\(121\) | −10.8543 | − | 6.26673i | −0.986754 | − | 0.569703i | ||||
\(122\) | 3.95633 | − | 1.84113i | 0.358190 | − | 0.166688i | ||||
\(123\) | −1.47079 | + | 5.48905i | −0.132616 | + | 0.494931i | ||||
\(124\) | 12.8017 | + | 10.7758i | 1.14963 | + | 0.967699i | ||||
\(125\) | −3.84703 | + | 3.84703i | −0.344089 | + | 0.344089i | ||||
\(126\) | 3.12654 | − | 2.05542i | 0.278534 | − | 0.183112i | ||||
\(127\) | −0.755130 | −0.0670070 | −0.0335035 | − | 0.999439i | \(-0.510666\pi\) | ||||
−0.0335035 | + | 0.999439i | \(0.510666\pi\) | |||||||
\(128\) | 10.6102 | + | 3.92722i | 0.937821 | + | 0.347120i | ||||
\(129\) | 4.45776 | + | 7.72106i | 0.392484 | + | 0.679802i | ||||
\(130\) | 11.8631 | + | 4.32826i | 1.04047 | + | 0.379613i | ||||
\(131\) | −1.49948 | − | 5.59615i | −0.131010 | − | 0.488938i | 0.868972 | − | 0.494861i | \(-0.164781\pi\) |
−0.999982 | + | 0.00592351i | \(0.998114\pi\) | |||||||
\(132\) | 1.69961 | − | 9.55223i | 0.147932 | − | 0.831415i | ||||
\(133\) | −3.67352 | + | 9.26213i | −0.318534 | + | 0.803129i | ||||
\(134\) | −0.680022 | + | 7.70382i | −0.0587450 | + | 0.665509i | ||||
\(135\) | −2.94927 | − | 1.70276i | −0.253832 | − | 0.146550i | ||||
\(136\) | −3.09849 | + | 5.33800i | −0.265693 | + | 0.457730i | ||||
\(137\) | 0.591868 | − | 0.341715i | 0.0505667 | − | 0.0291947i | −0.474504 | − | 0.880254i | \(-0.657372\pi\) |
0.525070 | + | 0.851059i | \(0.324039\pi\) | |||||||
\(138\) | 1.86006 | − | 2.65206i | 0.158339 | − | 0.225758i | ||||
\(139\) | −9.42536 | − | 9.42536i | −0.799449 | − | 0.799449i | 0.183560 | − | 0.983009i | \(-0.441238\pi\) |
−0.983009 | + | 0.183560i | \(0.941238\pi\) | |||||||
\(140\) | 18.0122 | + | 0.541841i | 1.52231 | + | 0.0457940i | ||||
\(141\) | 6.63160 | − | 6.63160i | 0.558481 | − | 0.558481i | ||||
\(142\) | −5.39736 | + | 0.947382i | −0.452936 | + | 0.0795025i | ||||
\(143\) | 6.35991 | + | 11.0157i | 0.531842 | + | 0.921178i | ||||
\(144\) | 3.94137 | − | 0.682360i | 0.328447 | − | 0.0568634i | ||||
\(145\) | 12.4082 | − | 21.4916i | 1.03044 | − | 1.78478i | ||||
\(146\) | −5.96382 | − | 7.11862i | −0.493569 | − | 0.589141i | ||||
\(147\) | 0.211544 | + | 6.99680i | 0.0174478 | + | 0.577087i | ||||
\(148\) | 9.56235 | − | 6.67353i | 0.786020 | − | 0.548561i | ||||
\(149\) | 3.86621 | − | 1.03595i | 0.316732 | − | 0.0848682i | −0.0969505 | − | 0.995289i | \(-0.530909\pi\) |
0.413683 | + | 0.910421i | \(0.364242\pi\) | |||||||
\(150\) | −3.93662 | − | 8.45924i | −0.321423 | − | 0.690694i | ||||
\(151\) | 16.3392 | − | 9.43344i | 1.32967 | − | 0.767683i | 0.344418 | − | 0.938816i | \(-0.388076\pi\) |
0.985248 | + | 0.171134i | \(0.0547430\pi\) | |||||||
\(152\) | −7.54961 | + | 7.51454i | −0.612355 | + | 0.609510i | ||||
\(153\) | 2.18217i | 0.176418i | ||||||||
\(154\) | 13.5569 | + | 12.0697i | 1.09245 | + | 0.972605i | ||||
\(155\) | 20.1474 | + | 20.1474i | 1.61828 | + | 1.61828i | ||||
\(156\) | −3.37705 | + | 4.01195i | −0.270380 | + | 0.321213i | ||||
\(157\) | −14.8158 | − | 3.96988i | −1.18243 | − | 0.316831i | −0.386540 | − | 0.922272i | \(-0.626330\pi\) |
−0.795890 | + | 0.605441i | \(0.792997\pi\) | |||||||
\(158\) | 19.5923 | + | 7.14824i | 1.55868 | + | 0.568683i | ||||
\(159\) | 2.61536 | − | 4.52993i | 0.207411 | − | 0.359247i | ||||
\(160\) | 17.4279 | + | 8.20923i | 1.37779 | + | 0.648997i | ||||
\(161\) | 2.40349 | + | 5.56323i | 0.189422 | + | 0.438444i | ||||
\(162\) | 1.08406 | − | 0.908198i | 0.0851715 | − | 0.0713548i | ||||
\(163\) | −1.24818 | − | 4.65826i | −0.0977649 | − | 0.364863i | 0.899659 | − | 0.436593i | \(-0.143815\pi\) |
−0.997424 | + | 0.0717293i | \(0.977148\pi\) | |||||||
\(164\) | −3.87060 | − | 10.6860i | −0.302243 | − | 0.834434i | ||||
\(165\) | 4.27585 | − | 15.9577i | 0.332874 | − | 1.24230i | ||||
\(166\) | −14.1553 | − | 9.92806i | −1.09867 | − | 0.770567i | ||||
\(167\) | − | 7.90653i | − | 0.611826i | −0.952059 | − | 0.305913i | \(-0.901038\pi\) | ||
0.952059 | − | 0.305913i | \(-0.0989617\pi\) | |||||||
\(168\) | −2.77512 | + | 6.94973i | −0.214105 | + | 0.536183i | ||||
\(169\) | 6.12495i | 0.471150i | ||||||||
\(170\) | −6.03474 | + | 8.60429i | −0.462844 | + | 0.659919i | ||||
\(171\) | −0.974725 | + | 3.63772i | −0.0745391 | + | 0.278184i | ||||
\(172\) | −16.1487 | − | 7.56080i | −1.23133 | − | 0.576505i | ||||
\(173\) | 3.91053 | + | 14.5943i | 0.297312 | + | 1.10958i | 0.939364 | + | 0.342922i | \(0.111417\pi\) |
−0.642052 | + | 0.766661i | \(0.721917\pi\) | |||||||
\(174\) | 6.61812 | + | 7.89961i | 0.501718 | + | 0.598868i | ||||
\(175\) | 17.3386 | + | 2.01661i | 1.31068 | + | 0.152441i | ||||
\(176\) | 8.14607 | + | 17.6118i | 0.614033 | + | 1.32754i | ||||
\(177\) | 5.56390 | − | 9.63696i | 0.418208 | − | 0.724358i | ||||
\(178\) | −4.89118 | + | 13.4060i | −0.366609 | + | 1.00482i | ||||
\(179\) | 8.25503 | + | 2.21193i | 0.617010 | + | 0.165327i | 0.553768 | − | 0.832671i | \(-0.313189\pi\) |
0.0632418 | + | 0.997998i | \(0.479856\pi\) | |||||||
\(180\) | 6.78603 | − | 0.583088i | 0.505801 | − | 0.0434608i | ||||
\(181\) | 0.215566 | + | 0.215566i | 0.0160229 | + | 0.0160229i | 0.715073 | − | 0.699050i | \(-0.246394\pi\) |
−0.699050 | + | 0.715073i | \(0.746394\pi\) | |||||||
\(182\) | −3.08398 | − | 9.31342i | −0.228600 | − | 0.690357i | ||||
\(183\) | 3.08564i | 0.228097i | ||||||||
\(184\) | −0.0150844 | + | 6.47863i | −0.00111204 | + | 0.477611i | ||||
\(185\) | 17.1954 | − | 9.92778i | 1.26423 | − | 0.729905i | ||||
\(186\) | −10.7275 | + | 4.99219i | −0.786579 | + | 0.366045i | ||||
\(187\) | −10.2253 | + | 2.73985i | −0.747746 | + | 0.200358i | ||||
\(188\) | −3.28579 | + | 18.4669i | −0.239641 | + | 1.34684i | ||||
\(189\) | 0.384941 | + | 2.61760i | 0.0280003 | + | 0.190402i | ||||
\(190\) | −13.9034 | + | 11.6480i | −1.00866 | + | 0.845032i | ||||
\(191\) | 8.17345 | − | 14.1568i | 0.591410 | − | 1.02435i | −0.402633 | − | 0.915361i | \(-0.631905\pi\) |
0.994043 | − | 0.108990i | \(-0.0347617\pi\) | |||||||
\(192\) | −5.68313 | + | 5.63045i | −0.410145 | + | 0.406343i | ||||
\(193\) | −3.67338 | − | 6.36247i | −0.264415 | − | 0.457981i | 0.702995 | − | 0.711195i | \(-0.251846\pi\) |
−0.967410 | + | 0.253214i | \(0.918512\pi\) | |||||||
\(194\) | −1.13301 | − | 6.45493i | −0.0813456 | − | 0.463437i | ||||
\(195\) | −6.31403 | + | 6.31403i | −0.452157 | + | 0.452157i | ||||
\(196\) | −8.35555 | − | 11.2332i | −0.596825 | − | 0.802372i | ||||
\(197\) | 9.12323 | + | 9.12323i | 0.650003 | + | 0.650003i | 0.952994 | − | 0.302991i | \(-0.0979851\pi\) |
−0.302991 | + | 0.952994i | \(0.597985\pi\) | |||||||
\(198\) | 5.61676 | + | 3.93940i | 0.399166 | + | 0.279961i | ||||
\(199\) | 18.9594 | − | 10.9462i | 1.34400 | − | 0.775958i | 0.356607 | − | 0.934255i | \(-0.383934\pi\) |
0.987392 | + | 0.158297i | \(0.0506003\pi\) | |||||||
\(200\) | 16.1389 | + | 9.36796i | 1.14119 | + | 0.662415i | ||||
\(201\) | −4.73595 | − | 2.73430i | −0.334048 | − | 0.192863i | ||||
\(202\) | 5.53922 | + | 0.488951i | 0.389738 | + | 0.0344025i | ||||
\(203\) | −19.0747 | + | 2.80510i | −1.33878 | + | 0.196879i | ||||
\(204\) | −2.49773 | − | 3.57894i | −0.174876 | − | 0.250576i | ||||
\(205\) | −5.00879 | − | 18.6931i | −0.349829 | − | 1.30558i | ||||
\(206\) | 2.41491 | − | 6.61892i | 0.168255 | − | 0.461162i | ||||
\(207\) | 1.14527 | + | 1.98367i | 0.0796020 | + | 0.137875i | ||||
\(208\) | 0.946532 | − | 10.4453i | 0.0656302 | − | 0.724253i | ||||
\(209\) | −18.2696 | −1.26373 | ||||||||
\(210\) | −5.72110 | + | 11.3857i | −0.394793 | + | 0.785690i | ||||
\(211\) | 8.54327 | − | 8.54327i | 0.588143 | − | 0.588143i | −0.348985 | − | 0.937128i | \(-0.613474\pi\) |
0.937128 | + | 0.348985i | \(0.113474\pi\) | |||||||
\(212\) | 0.895596 | + | 10.4230i | 0.0615098 | + | 0.715856i | ||||
\(213\) | 1.00289 | − | 3.74282i | 0.0687167 | − | 0.256454i | ||||
\(214\) | 2.58574 | + | 5.55640i | 0.176758 | + | 0.379828i | ||||
\(215\) | −26.2942 | − | 15.1810i | −1.79325 | − | 1.03533i | ||||
\(216\) | −0.738410 | + | 2.73034i | −0.0502424 | + | 0.185776i | ||||
\(217\) | 2.55735 | − | 21.9878i | 0.173604 | − | 1.49263i | ||||
\(218\) | 1.42712 | − | 16.1675i | 0.0966566 | − | 1.09500i | ||||
\(219\) | 6.34290 | − | 1.69958i | 0.428614 | − | 0.114847i | ||||
\(220\) | 11.2526 | + | 31.0661i | 0.758647 | + | 2.09448i | ||||
\(221\) | 5.52675 | + | 1.48089i | 0.371770 | + | 0.0996154i | ||||
\(222\) | 1.42550 | + | 8.12128i | 0.0956735 | + | 0.545065i | ||||
\(223\) | −2.35481 | −0.157690 | −0.0788449 | − | 0.996887i | \(-0.525123\pi\) | ||||
−0.0788449 | + | 0.996887i | \(0.525123\pi\) | |||||||
\(224\) | −3.40328 | − | 14.5746i | −0.227391 | − | 0.973803i | ||||
\(225\) | 6.59756 | 0.439837 | ||||||||
\(226\) | −5.11061 | − | 29.1158i | −0.339953 | − | 1.93676i | ||||
\(227\) | 3.45406 | + | 0.925514i | 0.229254 | + | 0.0614285i | 0.371617 | − | 0.928386i | \(-0.378803\pi\) |
−0.142363 | + | 0.989815i | \(0.545470\pi\) | |||||||
\(228\) | −2.56514 | − | 7.08185i | −0.169881 | − | 0.469007i | ||||
\(229\) | 19.0417 | − | 5.10222i | 1.25831 | − | 0.337164i | 0.432771 | − | 0.901504i | \(-0.357536\pi\) |
0.825543 | + | 0.564340i | \(0.190869\pi\) | |||||||
\(230\) | −0.969994 | + | 10.9888i | −0.0639595 | + | 0.724583i | ||||
\(231\) | −11.7823 | + | 5.09033i | −0.775219 | + | 0.334919i | ||||
\(232\) | −19.8962 | − | 5.38086i | −1.30625 | − | 0.353271i | ||||
\(233\) | −3.27109 | − | 1.88856i | −0.214296 | − | 0.123724i | 0.389010 | − | 0.921233i | \(-0.372817\pi\) |
−0.603306 | + | 0.797510i | \(0.706150\pi\) | |||||||
\(234\) | −1.56451 | − | 3.36191i | −0.102275 | − | 0.219775i | ||||
\(235\) | −8.26633 | + | 30.8504i | −0.539236 | + | 2.01246i | ||||
\(236\) | 1.90529 | + | 22.1739i | 0.124024 | + | 1.44340i | ||||
\(237\) | −10.4278 | + | 10.4278i | −0.677358 | + | 0.677358i | ||||
\(238\) | 8.15121 | − | 0.473053i | 0.528365 | − | 0.0306635i | ||||
\(239\) | −0.869095 | −0.0562171 | −0.0281085 | − | 0.999605i | \(-0.508948\pi\) | ||||
−0.0281085 | + | 0.999605i | \(0.508948\pi\) | |||||||
\(240\) | −10.4622 | + | 8.72366i | −0.675335 | + | 0.563110i | ||||
\(241\) | −2.07121 | − | 3.58744i | −0.133418 | − | 0.231087i | 0.791574 | − | 0.611073i | \(-0.209262\pi\) |
−0.924992 | + | 0.379986i | \(0.875929\pi\) | |||||||
\(242\) | −6.07523 | + | 16.6513i | −0.390530 | + | 1.07039i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −3.53185 | − | 5.06071i | −0.226104 | − | 0.323978i | ||||
\(245\) | −12.5378 | − | 20.2752i | −0.801009 | − | 1.29534i | ||||
\(246\) | 8.00539 | + | 0.706642i | 0.510405 | + | 0.0450539i | ||||
\(247\) | 8.55174 | + | 4.93735i | 0.544134 | + | 0.314156i | ||||
\(248\) | 11.8799 | − | 20.4664i | 0.754375 | − | 1.29962i | ||||
\(249\) | 10.5879 | − | 6.11290i | 0.670978 | − | 0.387389i | ||||
\(250\) | 6.29918 | + | 4.41802i | 0.398395 | + | 0.279420i | ||||
\(251\) | 6.99585 | + | 6.99585i | 0.441574 | + | 0.441574i | 0.892541 | − | 0.450966i | \(-0.148921\pi\) |
−0.450966 | + | 0.892541i | \(0.648921\pi\) | |||||||
\(252\) | −3.62746 | − | 3.85247i | −0.228509 | − | 0.242683i | ||||
\(253\) | −7.85719 | + | 7.85719i | −0.493977 | + | 0.493977i | ||||
\(254\) | 0.184625 | + | 1.05183i | 0.0115844 | + | 0.0659980i | ||||
\(255\) | −3.71571 | − | 6.43579i | −0.232687 | − | 0.403025i | ||||
\(256\) | 2.87615 | − | 15.7394i | 0.179759 | − | 0.983711i | ||||
\(257\) | −14.5841 | + | 25.2603i | −0.909729 | + | 1.57570i | −0.0952879 | + | 0.995450i | \(0.530377\pi\) |
−0.814441 | + | 0.580247i | \(0.802956\pi\) | |||||||
\(258\) | 9.66492 | − | 8.09705i | 0.601711 | − | 0.504100i | ||||
\(259\) | −14.3392 | − | 5.68716i | −0.890993 | − | 0.353383i | ||||
\(260\) | 3.12844 | − | 17.5826i | 0.194017 | − | 1.09043i | ||||
\(261\) | −7.03879 | + | 1.88604i | −0.435690 | + | 0.116743i | ||||
\(262\) | −7.42836 | + | 3.45689i | −0.458926 | + | 0.213567i | ||||
\(263\) | 1.37513 | − | 0.793932i | 0.0847942 | − | 0.0489560i | −0.457003 | − | 0.889465i | \(-0.651077\pi\) |
0.541798 | + | 0.840509i | \(0.317744\pi\) | |||||||
\(264\) | −13.7210 | − | 0.0319471i | −0.844471 | − | 0.00196621i | ||||
\(265\) | 17.8133i | 1.09426i | ||||||||
\(266\) | 13.7996 | + | 2.85237i | 0.846105 | + | 0.174890i | ||||
\(267\) | −7.13521 | − | 7.13521i | −0.436668 | − | 0.436668i | ||||
\(268\) | 10.8971 | − | 0.936327i | 0.665644 | − | 0.0571953i | ||||
\(269\) | −9.40228 | − | 2.51933i | −0.573267 | − | 0.153606i | −0.0394726 | − | 0.999221i | \(-0.512568\pi\) |
−0.533795 | + | 0.845614i | \(0.679234\pi\) | |||||||
\(270\) | −1.65073 | + | 4.52440i | −0.100460 | + | 0.275346i | ||||
\(271\) | −7.04012 | + | 12.1939i | −0.427657 | + | 0.740724i | −0.996664 | − | 0.0816086i | \(-0.973994\pi\) |
0.569007 | + | 0.822332i | \(0.307328\pi\) | |||||||
\(272\) | 8.19296 | + | 3.01083i | 0.496771 | + | 0.182558i | ||||
\(273\) | 6.89079 | + | 0.801450i | 0.417050 | + | 0.0485060i | ||||
\(274\) | −0.620690 | − | 0.740877i | −0.0374973 | − | 0.0447580i | ||||
\(275\) | 8.28366 | + | 30.9151i | 0.499524 | + | 1.86425i | ||||
\(276\) | −4.14887 | − | 1.94250i | −0.249733 | − | 0.116925i | ||||
\(277\) | −7.41567 | + | 27.6756i | −0.445564 | + | 1.66287i | 0.268878 | + | 0.963174i | \(0.413347\pi\) |
−0.714443 | + | 0.699694i | \(0.753320\pi\) | |||||||
\(278\) | −10.8243 | + | 15.4332i | −0.649199 | + | 0.925623i | ||||
\(279\) | − | 8.36664i | − | 0.500898i | ||||||
\(280\) | −3.64914 | − | 25.2220i | −0.218078 | − | 1.50730i | ||||
\(281\) | 19.2822i | 1.15028i | 0.818056 | + | 0.575139i | \(0.195052\pi\) | ||||
−0.818056 | + | 0.575139i | \(0.804948\pi\) | |||||||
\(282\) | −10.8587 | − | 7.61589i | −0.646624 | − | 0.453519i | ||||
\(283\) | −2.21934 | + | 8.28270i | −0.131926 | + | 0.492355i | −0.999992 | − | 0.00409451i | \(-0.998697\pi\) |
0.868065 | + | 0.496450i | \(0.165363\pi\) | |||||||
\(284\) | 2.63925 | + | 7.28645i | 0.156611 | + | 0.432372i | ||||
\(285\) | −3.31945 | − | 12.3883i | −0.196627 | − | 0.733822i | ||||
\(286\) | 13.7890 | − | 11.5521i | 0.815360 | − | 0.683091i | ||||
\(287\) | −8.97140 | + | 12.0650i | −0.529565 | + | 0.712174i | ||||
\(288\) | −1.91412 | − | 5.32317i | −0.112790 | − | 0.313671i | ||||
\(289\) | 6.11907 | − | 10.5985i | 0.359945 | − | 0.623444i | ||||
\(290\) | −32.9697 | − | 12.0290i | −1.93605 | − | 0.706366i | ||||
\(291\) | 4.47620 | + | 1.19939i | 0.262399 | + | 0.0703097i | ||||
\(292\) | −8.45753 | + | 10.0476i | −0.494940 | + | 0.587990i | ||||
\(293\) | −14.4427 | − | 14.4427i | −0.843749 | − | 0.843749i | 0.145595 | − | 0.989344i | \(-0.453490\pi\) |
−0.989344 | + | 0.145595i | \(0.953490\pi\) | |||||||
\(294\) | 9.69426 | − | 2.00534i | 0.565380 | − | 0.116954i | ||||
\(295\) | 37.8959i | 2.20639i | ||||||||
\(296\) | −11.6336 | − | 11.6879i | −0.676191 | − | 0.679347i | ||||
\(297\) | −4.20120 | + | 2.42556i | −0.243778 | + | 0.140746i | ||||
\(298\) | −2.38826 | − | 5.13204i | −0.138348 | − | 0.297291i | ||||
\(299\) | 5.80124 | − | 1.55444i | 0.335495 | − | 0.0898955i | ||||
\(300\) | −10.8205 | + | 7.55162i | −0.624724 | + | 0.435993i | ||||
\(301\) | 3.43195 | + | 23.3372i | 0.197814 | + | 1.34514i | ||||
\(302\) | −17.1349 | − | 20.4528i | −0.986001 | − | 1.17692i | ||||
\(303\) | −1.96603 | + | 3.40526i | −0.112945 | + | 0.195627i | ||||
\(304\) | 12.3130 | + | 8.67873i | 0.706198 | + | 0.497760i | ||||
\(305\) | −5.25410 | − | 9.10037i | −0.300849 | − | 0.521086i | ||||
\(306\) | 3.03958 | − | 0.533528i | 0.173761 | − | 0.0304998i | ||||
\(307\) | −1.26353 | + | 1.26353i | −0.0721134 | + | 0.0721134i | −0.742244 | − | 0.670130i | \(-0.766238\pi\) |
0.670130 | + | 0.742244i | \(0.266238\pi\) | |||||||
\(308\) | 13.4975 | − | 21.8347i | 0.769093 | − | 1.24415i | ||||
\(309\) | 3.52285 | + | 3.52285i | 0.200408 | + | 0.200408i | ||||
\(310\) | 23.1378 | − | 32.9897i | 1.31414 | − | 1.87369i | ||||
\(311\) | 0.860341 | − | 0.496718i | 0.0487855 | − | 0.0281663i | −0.475409 | − | 0.879765i | \(-0.657700\pi\) |
0.524194 | + | 0.851599i | \(0.324367\pi\) | |||||||
\(312\) | 6.41399 | + | 3.72306i | 0.363121 | + | 0.210777i | ||||
\(313\) | 9.68404 | + | 5.59108i | 0.547374 | + | 0.316027i | 0.748062 | − | 0.663629i | \(-0.230984\pi\) |
−0.200688 | + | 0.979655i | \(0.564318\pi\) | |||||||
\(314\) | −1.90734 | + | 21.6078i | −0.107637 | + | 1.21940i | ||||
\(315\) | −5.59243 | − | 7.06453i | −0.315098 | − | 0.398041i | ||||
\(316\) | 5.16670 | − | 29.0382i | 0.290650 | − | 1.63353i | ||||
\(317\) | −8.46947 | − | 31.6085i | −0.475693 | − | 1.77531i | −0.618741 | − | 0.785595i | \(-0.712357\pi\) |
0.143048 | − | 0.989716i | \(-0.454310\pi\) | |||||||
\(318\) | −6.94927 | − | 2.53544i | −0.389696 | − | 0.142180i | ||||
\(319\) | −17.6753 | − | 30.6145i | −0.989627 | − | 1.71408i | ||||
\(320\) | 7.17377 | − | 26.2827i | 0.401026 | − | 1.46925i | ||||
\(321\) | −4.33357 | −0.241876 | ||||||||
\(322\) | 7.16148 | − | 4.70805i | 0.399094 | − | 0.262369i | ||||
\(323\) | −5.81111 | + | 5.81111i | −0.323339 | + | 0.323339i | ||||
\(324\) | −1.53009 | − | 1.28795i | −0.0850051 | − | 0.0715529i | ||||
\(325\) | 4.47731 | − | 16.7096i | 0.248357 | − | 0.926880i | ||||
\(326\) | −6.18341 | + | 2.87753i | −0.342467 | + | 0.159372i | ||||
\(327\) | 9.93902 | + | 5.73830i | 0.549629 | + | 0.317329i | ||||
\(328\) | −13.9383 | + | 8.00409i | −0.769616 | + | 0.441952i | ||||
\(329\) | 22.7783 | − | 9.84093i | 1.25581 | − | 0.542548i | ||||
\(330\) | −23.2732 | − | 2.05434i | −1.28115 | − | 0.113088i | ||||
\(331\) | −9.64677 | + | 2.58484i | −0.530234 | + | 0.142076i | −0.513996 | − | 0.857792i | \(-0.671836\pi\) |
−0.0162378 | + | 0.999868i | \(0.505169\pi\) | |||||||
\(332\) | −10.3681 | + | 22.1446i | −0.569022 | + | 1.21534i | ||||
\(333\) | −5.63174 | − | 1.50902i | −0.308617 | − | 0.0826938i | ||||
\(334\) | −11.0132 | + | 1.93311i | −0.602613 | + | 0.105775i | ||||
\(335\) | 18.6234 | 1.01751 | ||||||||
\(336\) | 10.3589 | + | 2.16635i | 0.565125 | + | 0.118184i | ||||
\(337\) | −28.7944 | −1.56853 | −0.784265 | − | 0.620426i | \(-0.786960\pi\) | ||||
−0.784265 | + | 0.620426i | \(0.786960\pi\) | |||||||
\(338\) | 8.53155 | − | 1.49752i | 0.464055 | − | 0.0814542i | ||||
\(339\) | 20.1905 | + | 5.41003i | 1.09660 | + | 0.293832i | ||||
\(340\) | 13.4605 | + | 6.30221i | 0.730000 | + | 0.341785i | ||||
\(341\) | 39.2047 | − | 10.5049i | 2.12305 | − | 0.568870i | ||||
\(342\) | 5.30537 | + | 0.468309i | 0.286881 | + | 0.0253232i | ||||
\(343\) | −6.30463 | + | 17.4141i | −0.340418 | + | 0.940274i | ||||
\(344\) | −6.58331 | + | 24.3424i | −0.354948 | + | 1.31245i | ||||
\(345\) | −6.75543 | − | 3.90025i | −0.363700 | − | 0.209982i | ||||
\(346\) | 19.3726 | − | 9.01528i | 1.04148 | − | 0.484664i | ||||
\(347\) | −3.45419 | + | 12.8912i | −0.185431 | + | 0.692036i | 0.809107 | + | 0.587661i | \(0.199951\pi\) |
−0.994538 | + | 0.104375i | \(0.966716\pi\) | |||||||
\(348\) | 9.38542 | − | 11.1499i | 0.503111 | − | 0.597698i | ||||
\(349\) | 6.83094 | − | 6.83094i | 0.365652 | − | 0.365652i | −0.500237 | − | 0.865889i | \(-0.666754\pi\) |
0.865889 | + | 0.500237i | \(0.166754\pi\) | |||||||
\(350\) | −1.43023 | − | 24.6443i | −0.0764489 | − | 1.31730i | ||||
\(351\) | 2.62203 | 0.139954 | ||||||||
\(352\) | 22.5402 | − | 15.6528i | 1.20140 | − | 0.834298i | ||||
\(353\) | −5.86561 | − | 10.1595i | −0.312195 | − | 0.540737i | 0.666642 | − | 0.745378i | \(-0.267731\pi\) |
−0.978837 | + | 0.204640i | \(0.934397\pi\) | |||||||
\(354\) | −14.7838 | − | 5.39388i | −0.785752 | − | 0.286681i | ||||
\(355\) | 3.41535 | + | 12.7463i | 0.181268 | + | 0.676501i | ||||
\(356\) | 19.8694 | + | 3.53531i | 1.05307 | + | 0.187371i | ||||
\(357\) | −2.12855 | + | 5.36677i | −0.112655 | + | 0.284040i | ||||
\(358\) | 1.06273 | − | 12.0394i | 0.0561668 | − | 0.636302i | ||||
\(359\) | 4.52964 | + | 2.61519i | 0.239065 | + | 0.138024i | 0.614747 | − | 0.788724i | \(-0.289258\pi\) |
−0.375682 | + | 0.926749i | \(0.622591\pi\) | |||||||
\(360\) | −2.47134 | − | 9.30983i | −0.130251 | − | 0.490671i | ||||
\(361\) | 4.17154 | − | 2.40844i | 0.219555 | − | 0.126760i | ||||
\(362\) | 0.247561 | − | 0.352971i | 0.0130115 | − | 0.0185517i | ||||
\(363\) | −8.86249 | − | 8.86249i | −0.465160 | − | 0.465160i | ||||
\(364\) | −12.2188 | + | 6.57282i | −0.640440 | + | 0.344509i | ||||
\(365\) | −15.8129 | + | 15.8129i | −0.827687 | + | 0.827687i | ||||
\(366\) | 4.29805 | − | 0.754422i | 0.224662 | − | 0.0394343i | ||||
\(367\) | 10.8473 | + | 18.7880i | 0.566223 | + | 0.980727i | 0.996935 | + | 0.0782376i | \(0.0249293\pi\) |
−0.430712 | + | 0.902490i | \(0.641737\pi\) | |||||||
\(368\) | 9.02789 | − | 1.56298i | 0.470611 | − | 0.0814759i | ||||
\(369\) | −2.84134 | + | 4.92134i | −0.147914 | + | 0.256195i | ||||
\(370\) | −18.0328 | − | 21.5245i | −0.937480 | − | 1.11901i | ||||
\(371\) | 10.8508 | − | 8.58971i | 0.563345 | − | 0.445956i | ||||
\(372\) | 9.57653 | + | 13.7220i | 0.496520 | + | 0.711452i | ||||
\(373\) | −31.7052 | + | 8.49538i | −1.64163 | + | 0.439874i | −0.957253 | − | 0.289252i | \(-0.906594\pi\) |
−0.684380 | + | 0.729126i | \(0.739927\pi\) | |||||||
\(374\) | 6.31642 | + | 13.5731i | 0.326614 | + | 0.701848i | ||||
\(375\) | −4.71163 | + | 2.72026i | −0.243308 | + | 0.140474i | ||||
\(376\) | 26.5263 | + | 0.0617620i | 1.36799 | + | 0.00318513i | ||||
\(377\) | 19.1070i | 0.984059i | ||||||||
\(378\) | 3.55199 | − | 1.17618i | 0.182694 | − | 0.0604962i | ||||
\(379\) | −25.1832 | − | 25.1832i | −1.29357 | − | 1.29357i | −0.932562 | − | 0.361010i | \(-0.882432\pi\) |
−0.361010 | − | 0.932562i | \(-0.617568\pi\) | |||||||
\(380\) | 19.6240 | + | 16.5184i | 1.00669 | + | 0.847378i | ||||
\(381\) | −0.729400 | − | 0.195442i | −0.0373683 | − | 0.0100128i | ||||
\(382\) | −21.7177 | − | 7.92368i | −1.11117 | − | 0.405411i | ||||
\(383\) | −15.9140 | + | 27.5638i | −0.813167 | + | 1.40845i | 0.0974693 | + | 0.995239i | \(0.468925\pi\) |
−0.910636 | + | 0.413208i | \(0.864408\pi\) | |||||||
\(384\) | 9.23226 | + | 6.53953i | 0.471132 | + | 0.333719i | ||||
\(385\) | 26.0815 | − | 35.0752i | 1.32924 | − | 1.78760i | ||||
\(386\) | −7.96429 | + | 6.67231i | −0.405372 | + | 0.339611i | ||||
\(387\) | 2.30751 | + | 8.61173i | 0.117297 | + | 0.437759i | ||||
\(388\) | −8.71417 | + | 3.15639i | −0.442395 | + | 0.160241i | ||||
\(389\) | 0.718293 | − | 2.68071i | 0.0364189 | − | 0.135917i | −0.945323 | − | 0.326136i | \(-0.894253\pi\) |
0.981742 | + | 0.190219i | \(0.0609198\pi\) | |||||||
\(390\) | 10.3387 | + | 7.25118i | 0.523519 | + | 0.367178i | ||||
\(391\) | 4.99836i | 0.252778i | ||||||||
\(392\) | −13.6040 | + | 14.3851i | −0.687108 | + | 0.726555i | ||||
\(393\) | − | 5.79356i | − | 0.292246i | ||||||
\(394\) | 10.4773 | − | 14.9385i | 0.527840 | − | 0.752590i | ||||
\(395\) | 12.9983 | − | 48.5104i | 0.654016 | − | 2.44082i | ||||
\(396\) | 4.11400 | − | 8.78686i | 0.206736 | − | 0.441556i | ||||
\(397\) | −0.235113 | − | 0.877454i | −0.0118000 | − | 0.0440382i | 0.959775 | − | 0.280771i | \(-0.0905901\pi\) |
−0.971575 | + | 0.236733i | \(0.923923\pi\) | |||||||
\(398\) | −19.8827 | − | 23.7326i | −0.996629 | − | 1.18961i | ||||
\(399\) | −5.94556 | + | 7.99576i | −0.297650 | + | 0.400289i | ||||
\(400\) | 9.10294 | − | 24.7706i | 0.455147 | − | 1.23853i | ||||
\(401\) | −11.6127 | + | 20.1139i | −0.579913 | + | 1.00444i | 0.415576 | + | 0.909559i | \(0.363580\pi\) |
−0.995489 | + | 0.0948800i | \(0.969753\pi\) | |||||||
\(402\) | −2.65075 | + | 7.26532i | −0.132207 | + | 0.362361i | ||||
\(403\) | −21.1901 | − | 5.67787i | −1.05555 | − | 0.282835i | ||||
\(404\) | −0.673241 | − | 7.83523i | −0.0334950 | − | 0.389817i | ||||
\(405\) | −2.40807 | − | 2.40807i | −0.119658 | − | 0.119658i | ||||
\(406\) | 8.57093 | + | 25.8836i | 0.425368 | + | 1.28458i | ||||
\(407\) | − | 28.2841i | − | 1.40199i | ||||||
\(408\) | −4.37449 | + | 4.35416i | −0.216569 | + | 0.215563i | ||||
\(409\) | −4.55597 | + | 2.63039i | −0.225278 | + | 0.130064i | −0.608392 | − | 0.793637i | \(-0.708185\pi\) |
0.383114 | + | 0.923701i | \(0.374852\pi\) | |||||||
\(410\) | −24.8133 | + | 11.5472i | −1.22544 | + | 0.570275i | ||||
\(411\) | 0.660143 | − | 0.176885i | 0.0325625 | − | 0.00872509i | ||||
\(412\) | −9.81006 | − | 1.74548i | −0.483307 | − | 0.0859938i | ||||
\(413\) | 23.0839 | − | 18.2737i | 1.13588 | − | 0.899191i | ||||
\(414\) | 2.48308 | − | 2.08027i | 0.122037 | − | 0.102240i | ||||
\(415\) | −20.8176 | + | 36.0571i | −1.02190 | + | 1.76998i | ||||
\(416\) | −14.7809 | + | 1.23538i | −0.724694 | + | 0.0605697i | ||||
\(417\) | −6.66474 | − | 11.5437i | −0.326374 | − | 0.565296i | ||||
\(418\) | 4.46682 | + | 25.4481i | 0.218479 | + | 1.24470i | ||||
\(419\) | 5.22174 | − | 5.22174i | 0.255099 | − | 0.255099i | −0.567959 | − | 0.823057i | \(-0.692267\pi\) |
0.823057 | + | 0.567959i | \(0.192267\pi\) | |||||||
\(420\) | 17.2582 | + | 5.18527i | 0.842113 | + | 0.253015i | ||||
\(421\) | 12.0710 | + | 12.0710i | 0.588307 | + | 0.588307i | 0.937173 | − | 0.348866i | \(-0.113433\pi\) |
−0.348866 | + | 0.937173i | \(0.613433\pi\) | |||||||
\(422\) | −13.9889 | − | 9.81130i | −0.680967 | − | 0.477607i | ||||
\(423\) | 8.12201 | − | 4.68925i | 0.394906 | − | 0.227999i | ||||
\(424\) | 14.2995 | − | 3.79587i | 0.694443 | − | 0.184344i | ||||
\(425\) | 12.4682 | + | 7.19849i | 0.604794 | + | 0.349178i | ||||
\(426\) | −5.45865 | − | 0.481839i | −0.264472 | − | 0.0233452i | ||||
\(427\) | −3.00983 | + | 7.58875i | −0.145656 | + | 0.367246i | ||||
\(428\) | 7.10741 | − | 4.96024i | 0.343550 | − | 0.239762i | ||||
\(429\) | 3.29213 | + | 12.2864i | 0.158946 | + | 0.593193i | ||||
\(430\) | −14.7171 | + | 40.3374i | −0.709720 | + | 1.94524i | ||||
\(431\) | 2.98022 | + | 5.16189i | 0.143552 | + | 0.248640i | 0.928832 | − | 0.370502i | \(-0.120814\pi\) |
−0.785280 | + | 0.619141i | \(0.787481\pi\) | |||||||
\(432\) | 3.98368 | + | 0.360992i | 0.191665 | + | 0.0173682i | ||||
\(433\) | −4.92724 | −0.236788 | −0.118394 | − | 0.992967i | \(-0.537775\pi\) | ||||
−0.118394 | + | 0.992967i | \(0.537775\pi\) | |||||||
\(434\) | −31.2525 | + | 1.81373i | −1.50017 | + | 0.0870619i | ||||
\(435\) | 17.5478 | − | 17.5478i | 0.841352 | − | 0.841352i | ||||
\(436\) | −22.8689 | + | 1.96501i | −1.09522 | + | 0.0941068i | ||||
\(437\) | −2.23265 | + | 8.33238i | −0.106802 | + | 0.398592i | ||||
\(438\) | −3.91818 | − | 8.41961i | −0.187218 | − | 0.402304i | ||||
\(439\) | −3.23723 | − | 1.86901i | −0.154504 | − | 0.0892031i | 0.420755 | − | 0.907175i | \(-0.361765\pi\) |
−0.575259 | + | 0.817971i | \(0.695099\pi\) | |||||||
\(440\) | 40.5214 | − | 23.2694i | 1.93178 | − | 1.10932i | ||||
\(441\) | −1.60657 | + | 6.81314i | −0.0765034 | + | 0.324435i | ||||
\(442\) | 0.711496 | − | 8.06039i | 0.0338424 | − | 0.383393i | ||||
\(443\) | 40.1191 | − | 10.7499i | 1.90612 | − | 0.510743i | 0.910954 | − | 0.412508i | \(-0.135347\pi\) |
0.995163 | − | 0.0982344i | \(-0.0313195\pi\) | |||||||
\(444\) | 10.9638 | − | 3.97122i | 0.520317 | − | 0.188466i | ||||
\(445\) | 33.1932 | + | 8.89409i | 1.57351 | + | 0.421620i | ||||
\(446\) | 0.575739 | + | 3.28006i | 0.0272620 | + | 0.155315i | ||||
\(447\) | 4.00260 | 0.189316 | ||||||||
\(448\) | −19.4691 | + | 8.30390i | −0.919828 | + | 0.392322i | ||||
\(449\) | 18.5818 | 0.876929 | 0.438464 | − | 0.898749i | \(-0.355523\pi\) | ||||
0.438464 | + | 0.898749i | \(0.355523\pi\) | |||||||
\(450\) | −1.61307 | − | 9.18987i | −0.0760408 | − | 0.433214i | ||||
\(451\) | −26.6281 | − | 7.13497i | −1.25387 | − | 0.335973i | ||||
\(452\) | −39.3065 | + | 14.2373i | −1.84882 | + | 0.669668i | ||||
\(453\) | 18.2240 | − | 4.88311i | 0.856239 | − | 0.229429i | ||||
\(454\) | 0.444665 | − | 5.03751i | 0.0208692 | − | 0.236422i | ||||
\(455\) | −21.6875 | + | 9.36968i | −1.01672 | + | 0.439257i | ||||
\(456\) | −9.23727 | + | 5.30450i | −0.432575 | + | 0.248406i | ||||
\(457\) | 6.74245 | + | 3.89275i | 0.315398 | + | 0.182095i | 0.649340 | − | 0.760499i | \(-0.275045\pi\) |
−0.333941 | + | 0.942594i | \(0.608379\pi\) | |||||||
\(458\) | −11.7626 | − | 25.2761i | −0.549629 | − | 1.18108i | ||||
\(459\) | −0.564787 | + | 2.10781i | −0.0263620 | + | 0.0983843i | ||||
\(460\) | 15.5437 | − | 1.33559i | 0.724730 | − | 0.0622723i | ||||
\(461\) | 20.1306 | − | 20.1306i | 0.937578 | − | 0.937578i | −0.0605853 | − | 0.998163i | \(-0.519297\pi\) |
0.998163 | + | 0.0605853i | \(0.0192967\pi\) | |||||||
\(462\) | 9.97113 | + | 15.1672i | 0.463899 | + | 0.705644i | ||||
\(463\) | 1.79179 | 0.0832715 | 0.0416358 | − | 0.999133i | \(-0.486743\pi\) | ||||
0.0416358 | + | 0.999133i | \(0.486743\pi\) | |||||||
\(464\) | −2.63058 | + | 29.0294i | −0.122122 | + | 1.34766i | ||||
\(465\) | 14.2464 | + | 24.6755i | 0.660660 | + | 1.14430i | ||||
\(466\) | −1.83085 | + | 5.01810i | −0.0848126 | + | 0.232459i | ||||
\(467\) | −1.31127 | − | 4.89371i | −0.0606782 | − | 0.226454i | 0.928927 | − | 0.370262i | \(-0.120732\pi\) |
−0.989606 | + | 0.143808i | \(0.954065\pi\) | |||||||
\(468\) | −4.30035 | + | 3.00120i | −0.198784 | + | 0.138731i | ||||
\(469\) | −8.98037 | − | 11.3443i | −0.414675 | − | 0.523830i | ||||
\(470\) | 44.9931 | + | 3.97158i | 2.07538 | + | 0.183195i | ||||
\(471\) | −13.2835 | − | 7.66923i | −0.612071 | − | 0.353379i | ||||
\(472\) | 30.4206 | − | 8.07531i | 1.40022 | − | 0.371696i | ||||
\(473\) | −37.4559 | + | 21.6252i | −1.72222 | + | 0.994326i | ||||
\(474\) | 17.0746 | + | 11.9755i | 0.784263 | + | 0.550054i | ||||
\(475\) | 17.5693 | + | 17.5693i | 0.806135 | + | 0.806135i | ||||
\(476\) | −2.65185 | − | 11.2383i | −0.121547 | − | 0.515107i | ||||
\(477\) | 3.69868 | − | 3.69868i | 0.169351 | − | 0.169351i | ||||
\(478\) | 0.212489 | + | 1.21058i | 0.00971902 | + | 0.0553706i | ||||
\(479\) | −5.94291 | − | 10.2934i | −0.271539 | − | 0.470319i | 0.697717 | − | 0.716373i | \(-0.254199\pi\) |
−0.969256 | + | 0.246054i | \(0.920866\pi\) | |||||||
\(480\) | 14.7093 | + | 12.4402i | 0.671385 | + | 0.567814i | ||||
\(481\) | −7.64376 | + | 13.2394i | −0.348525 | + | 0.603664i | ||||
\(482\) | −4.49061 | + | 3.76213i | −0.204542 | + | 0.171360i | ||||
\(483\) | 0.881725 | + | 5.99573i | 0.0401199 | + | 0.272815i | ||||
\(484\) | 24.6793 | + | 4.39114i | 1.12179 | + | 0.199597i | ||||
\(485\) | −15.2438 | + | 4.08456i | −0.692184 | + | 0.185470i | ||||
\(486\) | 1.28218 | − | 0.596678i | 0.0581607 | − | 0.0270658i | ||||
\(487\) | −15.8403 | + | 9.14541i | −0.717793 | + | 0.414418i | −0.813940 | − | 0.580949i | \(-0.802682\pi\) |
0.0961467 | + | 0.995367i | \(0.469348\pi\) | |||||||
\(488\) | −6.18563 | + | 6.15690i | −0.280010 | + | 0.278710i | ||||
\(489\) | − | 4.82259i | − | 0.218085i | ||||||
\(490\) | −25.1763 | + | 22.4213i | −1.13735 | + | 1.01289i | ||||
\(491\) | −14.2437 | − | 14.2437i | −0.642807 | − | 0.642807i | 0.308438 | − | 0.951245i | \(-0.400194\pi\) |
−0.951245 | + | 0.308438i | \(0.900194\pi\) | |||||||
\(492\) | −0.972981 | − | 11.3236i | −0.0438654 | − | 0.510509i | ||||
\(493\) | −15.3598 | − | 4.11565i | −0.691771 | − | 0.185360i | ||||
\(494\) | 4.78647 | − | 13.1190i | 0.215354 | − | 0.590253i | ||||
\(495\) | 8.26031 | − | 14.3073i | 0.371273 | − | 0.643064i | ||||
\(496\) | −31.4126 | − | 11.5438i | −1.41047 | − | 0.518333i | ||||
\(497\) | 6.11734 | − | 8.22677i | 0.274400 | − | 0.369021i | ||||
\(498\) | −11.1034 | − | 13.2534i | −0.497557 | − | 0.593901i | ||||
\(499\) | 4.10081 | + | 15.3044i | 0.183577 | + | 0.685120i | 0.994931 | + | 0.100564i | \(0.0320646\pi\) |
−0.811353 | + | 0.584556i | \(0.801269\pi\) | |||||||
\(500\) | 4.61383 | − | 9.85443i | 0.206337 | − | 0.440703i | ||||
\(501\) | 2.04636 | − | 7.63713i | 0.0914247 | − | 0.341202i | ||||
\(502\) | 8.03421 | − | 11.4551i | 0.358584 | − | 0.511266i | ||||
\(503\) | 24.0656i | 1.07303i | 0.843890 | + | 0.536517i | \(0.180260\pi\) | ||||
−0.843890 | + | 0.536517i | \(0.819740\pi\) | |||||||
\(504\) | −4.47928 | + | 5.99467i | −0.199523 | + | 0.267024i | ||||
\(505\) | − | 13.3907i | − | 0.595877i | ||||||
\(506\) | 12.8655 | + | 9.02338i | 0.571940 | + | 0.401138i | ||||
\(507\) | −1.58525 | + | 5.91624i | −0.0704036 | + | 0.262750i | ||||
\(508\) | 1.41998 | − | 0.514336i | 0.0630015 | − | 0.0228200i | ||||
\(509\) | −4.32883 | − | 16.1554i | −0.191872 | − | 0.716076i | −0.993054 | − | 0.117656i | \(-0.962462\pi\) |
0.801182 | − | 0.598420i | \(-0.204205\pi\) | |||||||
\(510\) | −8.05607 | + | 6.74920i | −0.356729 | + | 0.298859i | ||||
\(511\) | 17.2574 | + | 2.00716i | 0.763423 | + | 0.0887917i | ||||
\(512\) | −22.6269 | − | 0.158051i | −0.999976 | − | 0.00698492i | ||||
\(513\) | −1.88302 | + | 3.26149i | −0.0831376 | + | 0.143998i | ||||
\(514\) | 38.7513 | + | 14.1384i | 1.70925 | + | 0.623618i | ||||
\(515\) | −16.3884 | − | 4.39126i | −0.722159 | − | 0.193502i | ||||
\(516\) | −13.6416 | − | 11.4828i | −0.600536 | − | 0.505500i | ||||
\(517\) | 32.1707 | + | 32.1707i | 1.41487 | + | 1.41487i | ||||
\(518\) | −4.41590 | + | 21.3638i | −0.194023 | + | 0.938670i | ||||
\(519\) | 15.1091i | 0.663217i | ||||||||
\(520\) | −25.2560 | − | 0.0588044i | −1.10755 | − | 0.00257874i | ||||
\(521\) | −29.0572 | + | 16.7762i | −1.27302 | + | 0.734977i | −0.975555 | − | 0.219756i | \(-0.929474\pi\) |
−0.297463 | + | 0.954733i | \(0.596140\pi\) | |||||||
\(522\) | 4.34804 | + | 9.34333i | 0.190309 | + | 0.408946i | ||||
\(523\) | 38.6999 | − | 10.3696i | 1.69223 | − | 0.453431i | 0.721264 | − | 0.692661i | \(-0.243562\pi\) |
0.970963 | + | 0.239230i | \(0.0768950\pi\) | |||||||
\(524\) | 6.63136 | + | 9.50192i | 0.289692 | + | 0.415093i | ||||
\(525\) | 16.2259 | + | 6.43546i | 0.708156 | + | 0.280867i | ||||
\(526\) | −1.44210 | − | 1.72133i | −0.0628783 | − | 0.0750537i | ||||
\(527\) | 9.12871 | − | 15.8114i | 0.397653 | − | 0.688755i | ||||
\(528\) | 3.31022 | + | 19.1201i | 0.144059 | + | 0.832095i | ||||
\(529\) | −8.87670 | − | 15.3749i | −0.385943 | − | 0.668473i | ||||
\(530\) | 24.8125 | − | 4.35526i | 1.07779 | − | 0.189180i | ||||
\(531\) | 7.86854 | − | 7.86854i | 0.341466 | − | 0.341466i | ||||
\(532\) | 0.599204 | − | 19.9190i | 0.0259788 | − | 0.863600i | ||||
\(533\) | 10.5360 | + | 10.5360i | 0.456365 | + | 0.456365i | ||||
\(534\) | −8.19425 | + | 11.6833i | −0.354600 | + | 0.505586i | ||||
\(535\) | 12.7808 | − | 7.37902i | 0.552564 | − | 0.319023i | ||||
\(536\) | −3.96850 | − | 14.9498i | −0.171413 | − | 0.645733i | ||||
\(537\) | 7.40126 | + | 4.27312i | 0.319388 | + | 0.184399i | ||||
\(538\) | −1.21042 | + | 13.7126i | −0.0521849 | + | 0.591191i | ||||
\(539\) | −33.9424 | + | 1.02622i | −1.46200 | + | 0.0442026i | ||||
\(540\) | 6.70572 | + | 1.19313i | 0.288568 | + | 0.0513443i | ||||
\(541\) | 10.1666 | + | 37.9424i | 0.437097 | + | 1.63127i | 0.735997 | + | 0.676985i | \(0.236714\pi\) |
−0.298899 | + | 0.954285i | \(0.596620\pi\) | |||||||
\(542\) | 18.7063 | + | 6.82499i | 0.803505 | + | 0.293158i | ||||
\(543\) | 0.152428 | + | 0.264013i | 0.00654132 | + | 0.0113299i | ||||
\(544\) | 2.19071 | − | 12.1483i | 0.0939258 | − | 0.520852i | ||||
\(545\) | −39.0838 | −1.67416 | ||||||||
\(546\) | −0.568407 | − | 9.79427i | −0.0243256 | − | 0.419156i | ||||
\(547\) | 6.28453 | − | 6.28453i | 0.268707 | − | 0.268707i | −0.559872 | − | 0.828579i | \(-0.689150\pi\) |
0.828579 | + | 0.559872i | \(0.189150\pi\) | |||||||
\(548\) | −0.880226 | + | 1.04571i | −0.0376014 | + | 0.0446706i | ||||
\(549\) | −0.798623 | + | 2.98050i | −0.0340844 | + | 0.127205i | ||||
\(550\) | 41.0368 | − | 19.0970i | 1.74982 | − | 0.814300i | ||||
\(551\) | −23.7668 | − | 13.7218i | −1.01250 | − | 0.584567i | ||||
\(552\) | −1.69136 | + | 6.25397i | −0.0719892 | + | 0.266187i | ||||
\(553\) | −35.8175 | + | 15.4743i | −1.52311 | + | 0.658034i | ||||
\(554\) | 40.3630 | + | 3.56287i | 1.71486 | + | 0.151372i | ||||
\(555\) | 19.1790 | − | 5.13900i | 0.814103 | − | 0.218138i | ||||
\(556\) | 24.1437 | + | 11.3041i | 1.02392 | + | 0.479399i | ||||
\(557\) | 21.5777 | + | 5.78173i | 0.914277 | + | 0.244980i | 0.685138 | − | 0.728414i | \(-0.259742\pi\) |
0.229140 | + | 0.973394i | \(0.426409\pi\) | |||||||
\(558\) | −11.6541 | + | 2.04560i | −0.493355 | + | 0.0865971i | ||||
\(559\) | 23.3768 | 0.988732 | ||||||||
\(560\) | −34.2399 | + | 11.2496i | −1.44690 | + | 0.475382i | ||||
\(561\) | −10.5860 | −0.446940 | ||||||||
\(562\) | 26.8585 | − | 4.71439i | 1.13296 | − | 0.198865i | ||||
\(563\) | 27.0997 | + | 7.26134i | 1.14212 | + | 0.306029i | 0.779802 | − | 0.626027i | \(-0.215320\pi\) |
0.362315 | + | 0.932056i | \(0.381987\pi\) | |||||||
\(564\) | −7.95342 | + | 16.9873i | −0.334900 | + | 0.715294i | ||||
\(565\) | −68.7591 | + | 18.4240i | −2.89272 | + | 0.775102i | ||||
\(566\) | 12.0797 | + | 1.06629i | 0.507749 | + | 0.0448194i | ||||
\(567\) | −0.305660 | + | 2.62804i | −0.0128365 | + | 0.110367i | ||||
\(568\) | 9.50416 | − | 5.45776i | 0.398786 | − | 0.229003i | ||||
\(569\) | −19.8148 | − | 11.4401i | −0.830679 | − | 0.479593i | 0.0234059 | − | 0.999726i | \(-0.492549\pi\) |
−0.854085 | + | 0.520133i | \(0.825882\pi\) | |||||||
\(570\) | −16.4444 | + | 7.65260i | −0.688778 | + | 0.320532i | ||||
\(571\) | −1.49525 | + | 5.58037i | −0.0625745 | + | 0.233531i | −0.990130 | − | 0.140155i | \(-0.955240\pi\) |
0.927555 | + | 0.373687i | \(0.121906\pi\) | |||||||
\(572\) | −19.4625 | − | 16.3825i | −0.813767 | − | 0.684987i | ||||
\(573\) | 11.5590 | − | 11.5590i | 0.482884 | − | 0.482884i | ||||
\(574\) | 18.9990 | + | 9.54661i | 0.793003 | + | 0.398468i | ||||
\(575\) | 15.1120 | 0.630215 | ||||||||
\(576\) | −6.94675 | + | 3.96769i | −0.289448 | + | 0.165321i | ||||
\(577\) | −15.0814 | − | 26.1217i | −0.627846 | − | 1.08746i | −0.987983 | − | 0.154562i | \(-0.950603\pi\) |
0.360137 | − | 0.932900i | \(-0.382730\pi\) | |||||||
\(578\) | −16.2590 | − | 5.93208i | −0.676285 | − | 0.246742i | ||||
\(579\) | −1.90148 | − | 7.09642i | −0.0790228 | − | 0.294917i | ||||
\(580\) | −8.69448 | + | 48.8652i | −0.361018 | + | 2.02902i | ||||
\(581\) | 32.0022 | − | 4.70621i | 1.32768 | − | 0.195246i | ||||
\(582\) | 0.576252 | − | 6.52823i | 0.0238864 | − | 0.270604i | ||||
\(583\) | 21.9753 | + | 12.6874i | 0.910124 | + | 0.525460i | ||||
\(584\) | 16.0633 | + | 9.32408i | 0.664703 | + | 0.385833i | ||||
\(585\) | −7.73307 | + | 4.46469i | −0.319723 | + | 0.184592i | ||||
\(586\) | −16.5863 | + | 23.6486i | −0.685174 | + | 0.976915i | ||||
\(587\) | −3.82787 | − | 3.82787i | −0.157993 | − | 0.157993i | 0.623684 | − | 0.781677i | \(-0.285635\pi\) |
−0.781677 | + | 0.623684i | \(0.785635\pi\) | |||||||
\(588\) | −5.16347 | − | 13.0130i | −0.212938 | − | 0.536648i | ||||
\(589\) | 22.2804 | − | 22.2804i | 0.918046 | − | 0.918046i | ||||
\(590\) | 52.7860 | − | 9.26535i | 2.17316 | − | 0.381449i | ||||
\(591\) | 6.45109 | + | 11.1736i | 0.265363 | + | 0.459621i | ||||
\(592\) | −13.4360 | + | 19.0623i | −0.552215 | + | 0.783457i | ||||
\(593\) | 7.33941 | − | 12.7122i | 0.301393 | − | 0.522029i | −0.675058 | − | 0.737764i | \(-0.735882\pi\) |
0.976452 | + | 0.215736i | \(0.0692149\pi\) | |||||||
\(594\) | 4.40579 | + | 5.25889i | 0.180772 | + | 0.215775i | ||||
\(595\) | −2.86066 | − | 19.4525i | −0.117275 | − | 0.797473i | ||||
\(596\) | −6.56459 | + | 4.58141i | −0.268896 | + | 0.187662i | ||||
\(597\) | 21.1465 | − | 5.66619i | 0.865468 | − | 0.231902i | ||||
\(598\) | −3.58358 | − | 7.70061i | −0.146543 | − | 0.314901i | ||||
\(599\) | 9.22877 | − | 5.32824i | 0.377077 | − | 0.217706i | −0.299468 | − | 0.954106i | \(-0.596809\pi\) |
0.676546 | + | 0.736400i | \(0.263476\pi\) | |||||||
\(600\) | 13.1644 | + | 13.2258i | 0.537433 | + | 0.539941i | ||||
\(601\) | 14.0865i | 0.574598i | 0.957841 | + | 0.287299i | \(0.0927574\pi\) | ||||
−0.957841 | + | 0.287299i | \(0.907243\pi\) | |||||||
\(602\) | 31.6678 | − | 10.4863i | 1.29068 | − | 0.427388i | ||||
\(603\) | −3.86689 | − | 3.86689i | −0.157472 | − | 0.157472i | ||||
\(604\) | −24.2996 | + | 28.8681i | −0.988738 | + | 1.17462i | ||||
\(605\) | 41.2285 | + | 11.0472i | 1.67618 | + | 0.449131i | ||||
\(606\) | 5.22393 | + | 1.90595i | 0.212208 | + | 0.0774238i | ||||
\(607\) | 8.80217 | − | 15.2458i | 0.357269 | − | 0.618808i | −0.630234 | − | 0.776405i | \(-0.717041\pi\) |
0.987504 | + | 0.157597i | \(0.0503745\pi\) | |||||||
\(608\) | 9.07831 | − | 19.2729i | 0.368174 | − | 0.781619i | ||||
\(609\) | −19.1507 | − | 2.22737i | −0.776027 | − | 0.0902576i | ||||
\(610\) | −11.3915 | + | 9.54353i | −0.461228 | + | 0.386406i | ||||
\(611\) | −6.36455 | − | 23.7528i | −0.257482 | − | 0.960936i | ||||
\(612\) | −1.48632 | − | 4.10345i | −0.0600811 | − | 0.165872i | ||||
\(613\) | −3.30823 | + | 12.3465i | −0.133618 | + | 0.498669i | −1.00000 | 0.000712962i | \(-0.999773\pi\) | |
0.866382 | + | 0.499382i | \(0.166440\pi\) | |||||||
\(614\) | 2.06892 | + | 1.45107i | 0.0834948 | + | 0.0585603i | ||||
\(615\) | − | 19.3525i | − | 0.780367i | ||||||
\(616\) | −33.7140 | − | 13.4625i | −1.35838 | − | 0.542419i | ||||
\(617\) | − | 36.9475i | − | 1.48745i | −0.668486 | − | 0.743725i | \(-0.733057\pi\) | ||
0.668486 | − | 0.743725i | \(-0.266943\pi\) | |||||||
\(618\) | 4.04573 | − | 5.76837i | 0.162743 | − | 0.232038i | ||||
\(619\) | 9.95777 | − | 37.1629i | 0.400236 | − | 1.49370i | −0.412439 | − | 0.910985i | \(-0.635323\pi\) |
0.812675 | − | 0.582717i | \(-0.198010\pi\) | |||||||
\(620\) | −51.6090 | − | 24.1633i | −2.07267 | − | 0.970420i | ||||
\(621\) | 0.592837 | + | 2.21250i | 0.0237897 | + | 0.0887845i | ||||
\(622\) | −0.902237 | − | 1.07694i | −0.0361764 | − | 0.0431814i | ||||
\(623\) | −10.5883 | − | 24.5081i | −0.424210 | − | 0.981896i | ||||
\(624\) | 3.61773 | − | 9.84443i | 0.144825 | − | 0.394093i | ||||
\(625\) | −7.23000 | + | 12.5227i | −0.289200 | + | 0.500909i | ||||
\(626\) | 5.42023 | − | 14.8561i | 0.216636 | − | 0.593768i | ||||
\(627\) | −17.6471 | − | 4.72852i | −0.704756 | − | 0.188839i | ||||
\(628\) | 30.5643 | − | 2.62623i | 1.21965 | − | 0.104798i | ||||
\(629\) | −8.99647 | − | 8.99647i | −0.358713 | − | 0.358713i | ||||
\(630\) | −8.47300 | + | 9.51705i | −0.337572 | + | 0.379168i | ||||
\(631\) | 3.74125i | 0.148937i | 0.997223 | + | 0.0744684i | \(0.0237260\pi\) | ||||
−0.997223 | + | 0.0744684i | \(0.976274\pi\) | |||||||
\(632\) | −41.7111 | − | 0.0971172i | −1.65918 | − | 0.00386311i | ||||
\(633\) | 10.4633 | − | 6.04101i | 0.415880 | − | 0.240108i | ||||
\(634\) | −41.9573 | + | 19.5254i | −1.66634 | + | 0.775453i | ||||
\(635\) | 2.48398 | − | 0.665582i | 0.0985739 | − | 0.0264128i | ||||
\(636\) | −1.83260 | + | 10.2997i | −0.0726673 | + | 0.408408i | ||||
\(637\) | 16.1653 | + | 8.69256i | 0.640493 | + | 0.344412i | ||||
\(638\) | −38.3220 | + | 32.1053i | −1.51718 | + | 1.27106i | ||||
\(639\) | 1.93743 | − | 3.35572i | 0.0766435 | − | 0.132750i | ||||
\(640\) | −38.3636 | − | 3.56650i | −1.51646 | − | 0.140978i | ||||
\(641\) | 10.7538 | + | 18.6262i | 0.424750 | + | 0.735689i | 0.996397 | − | 0.0848108i | \(-0.0270286\pi\) |
−0.571647 | + | 0.820500i | \(0.693695\pi\) | |||||||
\(642\) | 1.05953 | + | 6.03631i | 0.0418165 | + | 0.238234i | ||||
\(643\) | 9.94803 | − | 9.94803i | 0.392312 | − | 0.392312i | −0.483199 | − | 0.875511i | \(-0.660525\pi\) |
0.875511 | + | 0.483199i | \(0.160525\pi\) | |||||||
\(644\) | −8.30887 | − | 8.82427i | −0.327415 | − | 0.347725i | ||||
\(645\) | −21.4691 | − | 21.4691i | −0.845347 | − | 0.845347i | ||||
\(646\) | 9.51519 | + | 6.67362i | 0.374370 | + | 0.262570i | ||||
\(647\) | −38.4064 | + | 22.1740i | −1.50991 | + | 0.871749i | −0.509980 | + | 0.860186i | \(0.670347\pi\) |
−0.999933 | + | 0.0115625i | \(0.996319\pi\) | |||||||
\(648\) | −1.41991 | + | 2.44619i | −0.0557794 | + | 0.0960954i | ||||
\(649\) | 46.7501 | + | 26.9912i | 1.83510 | + | 1.05950i | ||||
\(650\) | −24.3697 | − | 2.15114i | −0.955860 | − | 0.0843745i | ||||
\(651\) | 8.16108 | − | 20.5767i | 0.319858 | − | 0.806466i | ||||
\(652\) | 5.51998 | + | 7.90945i | 0.216179 | + | 0.309758i | ||||
\(653\) | −8.97421 | − | 33.4922i | −0.351188 | − | 1.31065i | −0.885214 | − | 0.465184i | \(-0.845988\pi\) |
0.534026 | − | 0.845468i | \(-0.320678\pi\) | |||||||
\(654\) | 5.56294 | − | 15.2472i | 0.217528 | − | 0.596214i | ||||
\(655\) | 9.86504 | + | 17.0867i | 0.385459 | + | 0.667635i | ||||
\(656\) | 14.5569 | + | 17.4580i | 0.568351 | + | 0.681621i | ||||
\(657\) | 6.56665 | 0.256190 | ||||||||
\(658\) | −19.2768 | − | 29.3222i | −0.751487 | − | 1.14310i | ||||
\(659\) | 24.6880 | − | 24.6880i | 0.961708 | − | 0.961708i | −0.0375859 | − | 0.999293i | \(-0.511967\pi\) |
0.999293 | + | 0.0375859i | \(0.0119668\pi\) | |||||||
\(660\) | 2.82864 | + | 32.9199i | 0.110105 | + | 1.28141i | ||||
\(661\) | 5.06462 | − | 18.9014i | 0.196991 | − | 0.735181i | −0.794751 | − | 0.606935i | \(-0.792399\pi\) |
0.991742 | − | 0.128246i | \(-0.0409346\pi\) | |||||||
\(662\) | 5.95906 | + | 12.8052i | 0.231605 | + | 0.497687i | ||||
\(663\) | 4.95515 | + | 2.86086i | 0.192442 | + | 0.111107i | ||||
\(664\) | 33.3806 | + | 9.02765i | 1.29542 | + | 0.350341i | ||||
\(665\) | 3.92020 | − | 33.7055i | 0.152019 | − | 1.30704i | ||||
\(666\) | −0.725012 | + | 8.21350i | −0.0280937 | + | 0.318267i | ||||
\(667\) | −16.1227 | + | 4.32006i | −0.624272 | + | 0.167273i | ||||
\(668\) | 5.38532 | + | 14.8678i | 0.208364 | + | 0.575252i | ||||
\(669\) | −2.27457 | − | 0.609470i | −0.0879401 | − | 0.0235635i | ||||
\(670\) | −4.55333 | − | 25.9409i | −0.175911 | − | 1.00219i | ||||
\(671\) | −14.9688 | −0.577866 | ||||||||
\(672\) | 0.484852 | − | 14.9588i | 0.0187036 | − | 0.577047i | ||||
\(673\) | −2.20823 | −0.0851211 | −0.0425606 | − | 0.999094i | \(-0.513552\pi\) | ||||
−0.0425606 | + | 0.999094i | \(0.513552\pi\) | |||||||
\(674\) | 7.04007 | + | 40.1082i | 0.271173 | + | 1.54491i | ||||
\(675\) | 6.37275 | + | 1.70757i | 0.245287 | + | 0.0657246i | ||||
\(676\) | −4.17184 | − | 11.5176i | −0.160455 | − | 0.442986i | ||||
\(677\) | −5.59431 | + | 1.49899i | −0.215007 | + | 0.0576109i | −0.364714 | − | 0.931119i | \(-0.618833\pi\) |
0.149708 | + | 0.988730i | \(0.452167\pi\) | |||||||
\(678\) | 2.59926 | − | 29.4465i | 0.0998240 | − | 1.13088i | ||||
\(679\) | 9.83874 | + | 7.31598i | 0.377576 | + | 0.280762i | ||||
\(680\) | 5.48743 | − | 20.2903i | 0.210433 | − | 0.778097i | ||||
\(681\) | 3.09683 | + | 1.78795i | 0.118671 | + | 0.0685146i | ||||
\(682\) | −24.2178 | − | 52.0406i | −0.927346 | − | 1.99274i | ||||
\(683\) | 4.96880 | − | 18.5438i | 0.190126 | − | 0.709560i | −0.803349 | − | 0.595509i | \(-0.796951\pi\) |
0.993475 | − | 0.114051i | \(-0.0363827\pi\) | |||||||
\(684\) | −0.644818 | − | 7.50445i | −0.0246552 | − | 0.286940i | ||||
\(685\) | −1.64575 | + | 1.64575i | −0.0628807 | + | 0.0628807i | ||||
\(686\) | 25.7979 | + | 4.52418i | 0.984969 | + | 0.172734i | ||||
\(687\) | 19.7135 | 0.752116 | ||||||||
\(688\) | 35.5165 | + | 3.21843i | 1.35406 | + | 0.122701i | ||||
\(689\) | −6.85755 | − | 11.8776i | −0.261252 | − | 0.452502i | ||||
\(690\) | −3.78107 | + | 10.3634i | −0.143943 | + | 0.394526i | ||||
\(691\) | −9.31241 | − | 34.7544i | −0.354261 | − | 1.32212i | −0.881412 | − | 0.472348i | \(-0.843407\pi\) |
0.527151 | − | 0.849771i | \(-0.323260\pi\) | |||||||
\(692\) | −17.2940 | − | 24.7802i | −0.657420 | − | 0.942002i | ||||
\(693\) | −12.6983 | + | 1.86740i | −0.482369 | + | 0.0709366i | ||||
\(694\) | 18.8009 | + | 1.65957i | 0.713674 | + | 0.0629965i | ||||
\(695\) | 39.3122 | + | 22.6969i | 1.49120 | + | 0.860942i | ||||
\(696\) | −17.8256 | − | 10.3470i | −0.675678 | − | 0.392203i | ||||
\(697\) | −10.7392 | + | 6.20028i | −0.406776 | + | 0.234852i | ||||
\(698\) | −11.1851 | − | 7.84481i | −0.423361 | − | 0.296931i | ||||
\(699\) | −2.67083 | − | 2.67083i | −0.101020 | − | 0.101020i | ||||
\(700\) | −33.9779 | + | 8.01760i | −1.28424 | + | 0.303037i | ||||
\(701\) | −33.0698 | + | 33.0698i | −1.24903 | + | 1.24903i | −0.292877 | + | 0.956150i | \(0.594613\pi\) |
−0.956150 | + | 0.292877i | \(0.905387\pi\) | |||||||
\(702\) | −0.641073 | − | 3.65228i | −0.0241957 | − | 0.137846i | ||||
\(703\) | −10.9788 | − | 19.0158i | −0.414073 | − | 0.717196i | ||||
\(704\) | −27.3140 | − | 27.5696i | −1.02944 | − | 1.03907i | ||||
\(705\) | −15.9693 | + | 27.6597i | −0.601439 | + | 1.04172i | ||||
\(706\) | −12.7173 | + | 10.6543i | −0.478621 | + | 0.400978i | ||||
\(707\) | −8.15679 | + | 6.45709i | −0.306768 | + | 0.242844i | ||||
\(708\) | −3.89866 | + | 21.9115i | −0.146521 | + | 0.823483i | ||||
\(709\) | −0.896824 | + | 0.240303i | −0.0336809 | + | 0.00902478i | −0.275620 | − | 0.961267i | \(-0.588883\pi\) |
0.241939 | + | 0.970291i | \(0.422217\pi\) | |||||||
\(710\) | 16.9195 | − | 7.87370i | 0.634976 | − | 0.295495i | ||||
\(711\) | −12.7714 | + | 7.37356i | −0.478964 | + | 0.276530i | ||||
\(712\) | 0.0664524 | − | 28.5408i | 0.00249041 | − | 1.06961i | ||||
\(713\) | − | 19.1642i | − | 0.717705i | ||||||
\(714\) | 7.99590 | + | 1.65275i | 0.299239 | + | 0.0618528i | ||||
\(715\) | −30.6302 | − | 30.6302i | −1.14550 | − | 1.14550i | ||||
\(716\) | −17.0297 | + | 1.46327i | −0.636431 | + | 0.0546852i | ||||
\(717\) | −0.839481 | − | 0.224938i | −0.0313510 | − | 0.00840047i | ||||
\(718\) | 2.53527 | − | 6.94881i | 0.0946155 | − | 0.259327i | ||||
\(719\) | −9.93248 | + | 17.2036i | −0.370419 | + | 0.641585i | −0.989630 | − | 0.143640i | \(-0.954119\pi\) |
0.619211 | + | 0.785225i | \(0.287453\pi\) | |||||||
\(720\) | −12.3636 | + | 5.71858i | −0.460764 | + | 0.213119i | ||||
\(721\) | 5.22772 | + | 12.1003i | 0.194691 | + | 0.450639i | ||||
\(722\) | −4.37468 | − | 5.22176i | −0.162809 | − | 0.194334i | ||||
\(723\) | −1.07214 | − | 4.00127i | −0.0398732 | − | 0.148809i | ||||
\(724\) | −0.552187 | − | 0.258533i | −0.0205219 | − | 0.00960831i | ||||
\(725\) | −12.4432 | + | 46.4388i | −0.462130 | + | 1.72469i | ||||
\(726\) | −10.1779 | + | 14.5116i | −0.377737 | + | 0.538575i | ||||
\(727\) | − | 46.0193i | − | 1.70676i | −0.521287 | − | 0.853381i | \(-0.674548\pi\) | ||
0.521287 | − | 0.853381i | \(-0.325452\pi\) | |||||||
\(728\) | 12.1428 | + | 15.4128i | 0.450043 | + | 0.571237i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 25.8923 | + | 18.1600i | 0.958317 | + | 0.672130i | ||||
\(731\) | −5.03536 | + | 18.7922i | −0.186240 | + | 0.695056i | ||||
\(732\) | −2.10170 | − | 5.80238i | −0.0776810 | − | 0.214462i | ||||
\(733\) | −7.19515 | − | 26.8527i | −0.265759 | − | 0.991825i | −0.961784 | − | 0.273808i | \(-0.911717\pi\) |
0.696026 | − | 0.718017i | \(-0.254950\pi\) | |||||||
\(734\) | 23.5181 | − | 19.7029i | 0.868069 | − | 0.727249i | ||||
\(735\) | −6.86294 | − | 22.8294i | −0.253143 | − | 0.842074i | ||||
\(736\) | −4.38437 | − | 12.1930i | −0.161610 | − | 0.449439i | ||||
\(737\) | 13.2645 | − | 22.9747i | 0.488603 | − | 0.846285i | ||||
\(738\) | 7.54972 | + | 2.75451i | 0.277909 | + | 0.101395i | ||||
\(739\) | −16.1923 | − | 4.33872i | −0.595644 | − | 0.159602i | −0.0516125 | − | 0.998667i | \(-0.516436\pi\) |
−0.544031 | + | 0.839065i | \(0.683103\pi\) | |||||||
\(740\) | −25.5730 | + | 30.3808i | −0.940082 | + | 1.11682i | ||||
\(741\) | 6.98247 | + | 6.98247i | 0.256507 | + | 0.256507i | ||||
\(742\) | −14.6177 | − | 13.0141i | −0.536634 | − | 0.477764i | ||||
\(743\) | 36.0676i | 1.32319i | 0.749860 | + | 0.661596i | \(0.230121\pi\) | ||||
−0.749860 | + | 0.661596i | \(0.769879\pi\) | |||||||
\(744\) | 16.7722 | − | 16.6943i | 0.614899 | − | 0.612042i | ||||
\(745\) | −11.8047 | + | 6.81546i | −0.432492 | + | 0.249699i | ||||
\(746\) | 19.5851 | + | 42.0857i | 0.717062 | + | 1.54087i | ||||
\(747\) | 11.8092 | − | 3.16427i | 0.432077 | − | 0.115775i | ||||
\(748\) | 17.3619 | − | 12.1168i | 0.634813 | − | 0.443034i | ||||
\(749\) | −10.6579 | − | 4.22709i | −0.389430 | − | 0.154455i | ||||
\(750\) | 4.94107 | + | 5.89783i | 0.180422 | + | 0.215358i | ||||
\(751\) | 24.1284 | − | 41.7915i | 0.880456 | − | 1.52499i | 0.0296218 | − | 0.999561i | \(-0.490570\pi\) |
0.850834 | − | 0.525434i | \(-0.176097\pi\) | |||||||
\(752\) | −6.39951 | − | 36.9641i | −0.233366 | − | 1.34794i | ||||
\(753\) | 4.94682 | + | 8.56814i | 0.180272 | + | 0.312240i | ||||
\(754\) | 26.6145 | − | 4.67155i | 0.969242 | − | 0.170128i | ||||
\(755\) | −45.4327 | + | 45.4327i | −1.65347 | + | 1.65347i | ||||
\(756\) | −2.50676 | − | 4.66006i | −0.0911701 | − | 0.169485i | ||||
\(757\) | −2.87537 | − | 2.87537i | −0.104507 | − | 0.104507i | 0.652920 | − | 0.757427i | \(-0.273544\pi\) |
−0.757427 | + | 0.652920i | \(0.773544\pi\) | |||||||
\(758\) | −28.9209 | + | 41.2352i | −1.05046 | + | 1.49773i | ||||
\(759\) | −9.62305 | + | 5.55587i | −0.349295 | + | 0.201665i | ||||
\(760\) | 18.2109 | − | 31.3733i | 0.660578 | − | 1.13803i | ||||
\(761\) | 17.8680 | + | 10.3161i | 0.647713 | + | 0.373958i | 0.787580 | − | 0.616213i | \(-0.211334\pi\) |
−0.139866 | + | 0.990170i | \(0.544667\pi\) | |||||||
\(762\) | −0.0939006 | + | 1.06378i | −0.00340166 | + | 0.0385367i | ||||
\(763\) | 18.8465 | + | 23.8075i | 0.682289 | + | 0.861888i | ||||
\(764\) | −5.72719 | + | 32.1882i | −0.207202 | + | 1.16453i | ||||
\(765\) | −1.92339 | − | 7.17820i | −0.0695404 | − | 0.259528i | ||||
\(766\) | 42.2851 | + | 15.4277i | 1.52782 | + | 0.557425i | ||||
\(767\) | −14.5887 | − | 25.2684i | −0.526768 | − | 0.912390i | ||||
\(768\) | 6.85180 | − | 14.4587i | 0.247243 | − | 0.521732i | ||||
\(769\) | 14.0727 | 0.507474 | 0.253737 | − | 0.967273i | \(-0.418340\pi\) | ||||
0.253737 | + | 0.967273i | \(0.418340\pi\) | |||||||
\(770\) | −55.2337 | − | 27.7538i | −1.99048 | − | 1.00018i | ||||
\(771\) | −20.6250 | + | 20.6250i | −0.742790 | + | 0.742790i | ||||
\(772\) | 11.2412 | + | 9.46226i | 0.404580 | + | 0.340554i | ||||
\(773\) | −9.16429 | + | 34.2016i | −0.329617 | + | 1.23015i | 0.579972 | + | 0.814636i | \(0.303063\pi\) |
−0.909589 | + | 0.415509i | \(0.863603\pi\) | |||||||
\(774\) | 11.4313 | − | 5.31969i | 0.410888 | − | 0.191212i | ||||
\(775\) | −47.8041 | − | 27.5997i | −1.71717 | − | 0.991411i | ||||
\(776\) | 6.52716 | + | 11.3664i | 0.234312 | + | 0.408030i | ||||
\(777\) | −12.3786 | − | 9.20462i | −0.444081 | − | 0.330214i | ||||
\(778\) | −3.90963 | − | 0.345106i | −0.140167 | − | 0.0123726i | ||||
\(779\) | −20.6720 | + | 5.53905i | −0.740652 | + | 0.198457i | ||||
\(780\) | 7.57255 | − | 16.1738i | 0.271141 | − | 0.579115i | ||||
\(781\) | 18.1569 | + | 4.86513i | 0.649706 | + | 0.174088i | ||||
\(782\) | 6.96231 | − | 1.22207i | 0.248972 | − | 0.0437012i | ||||
\(783\) | −7.28709 | −0.260419 | ||||||||
\(784\) | 23.3633 | + | 15.4323i | 0.834405 | + | 0.551152i | ||||
\(785\) | 52.2354 | 1.86436 | ||||||||
\(786\) | −8.06996 | + | 1.41649i | −0.287846 | + | 0.0505247i | ||||
\(787\) | 33.9592 | + | 9.09935i | 1.21052 | + | 0.324357i | 0.806965 | − | 0.590600i | \(-0.201109\pi\) |
0.403552 | + | 0.914957i | \(0.367776\pi\) | |||||||
\(788\) | −23.3698 | − | 10.9417i | −0.832513 | − | 0.389782i | ||||
\(789\) | 1.53376 | − | 0.410970i | 0.0546033 | − | 0.0146309i | ||||
\(790\) | −70.7490 | − | 6.24507i | −2.51714 | − | 0.222190i | ||||
\(791\) | 44.3790 | + | 32.9997i | 1.57793 | + | 1.17334i | ||||
\(792\) | −13.2452 | − | 3.58212i | −0.470649 | − | 0.127285i | ||||
\(793\) | 7.00671 | + | 4.04532i | 0.248815 | + | 0.143654i | ||||
\(794\) | −1.16474 | + | 0.542026i | −0.0413350 | + | 0.0192358i | ||||
\(795\) | −4.61042 | + | 17.2063i | −0.163515 | + | 0.610246i | ||||
\(796\) | −28.1964 | + | 33.4975i | −0.999396 | + | 1.18729i | ||||
\(797\) | 2.45288 | − | 2.45288i | 0.0868853 | − | 0.0868853i | −0.662328 | − | 0.749214i | \(-0.730432\pi\) |
0.749214 | + | 0.662328i | \(0.230432\pi\) | |||||||
\(798\) | 12.5911 | + | 6.32677i | 0.445720 | + | 0.223965i | ||||
\(799\) | 20.4655 | 0.724016 | ||||||||
\(800\) | −36.7290 | − | 6.62338i | −1.29857 | − | 0.234172i | ||||
\(801\) | −5.04536 | − | 8.73882i | −0.178269 | − | 0.308771i | ||||
\(802\) | 30.8562 | + | 11.2579i | 1.08957 | + | 0.397529i | ||||
\(803\) | 8.24486 | + | 30.7702i | 0.290955 | + | 1.08586i | ||||
\(804\) | 10.7681 | + | 1.91594i | 0.379761 | + | 0.0675701i | ||||
\(805\) | −12.8097 | − | 16.1816i | −0.451484 | − | 0.570328i | ||||
\(806\) | −2.72795 | + | 30.9043i | −0.0960878 | + | 1.08856i | ||||
\(807\) | −8.42986 | − | 4.86698i | −0.296745 | − | 0.171326i | ||||
\(808\) | −10.7492 | + | 2.85344i | −0.378157 | + | 0.100384i | ||||
\(809\) | 34.1201 | − | 19.6993i | 1.19960 | − | 0.692589i | 0.239133 | − | 0.970987i | \(-0.423137\pi\) |
0.960466 | + | 0.278398i | \(0.0898033\pi\) | |||||||
\(810\) | −2.76548 | + | 3.94300i | −0.0971691 | + | 0.138543i | ||||
\(811\) | −22.0510 | − | 22.0510i | −0.774315 | − | 0.774315i | 0.204542 | − | 0.978858i | \(-0.434429\pi\) |
−0.978858 | + | 0.204542i | \(0.934429\pi\) | |||||||
\(812\) | 33.9582 | − | 18.2670i | 1.19170 | − | 0.641046i | ||||
\(813\) | −9.95624 | + | 9.95624i | −0.349181 | + | 0.349181i | ||||
\(814\) | −39.3974 | + | 6.91530i | −1.38088 | + | 0.242381i | ||||
\(815\) | 8.21171 | + | 14.2231i | 0.287644 | + | 0.498213i | ||||
\(816\) | 7.13453 | + | 5.02873i | 0.249759 | + | 0.176041i | ||||
\(817\) | −16.7881 | + | 29.0779i | −0.587342 | + | 1.01731i | ||||
\(818\) | 4.77783 | + | 5.70297i | 0.167053 | + | 0.199400i | ||||
\(819\) | 6.44857 | + | 2.55761i | 0.225331 | + | 0.0893701i | ||||
\(820\) | 22.1510 | + | 31.7397i | 0.773547 | + | 1.10840i | ||||
\(821\) | 25.8649 | − | 6.93048i | 0.902691 | − | 0.241875i | 0.222520 | − | 0.974928i | \(-0.428572\pi\) |
0.680172 | + | 0.733053i | \(0.261905\pi\) | |||||||
\(822\) | −0.407788 | − | 0.876278i | −0.0142232 | − | 0.0305637i | ||||
\(823\) | 9.60454 | − | 5.54518i | 0.334793 | − | 0.193293i | −0.323174 | − | 0.946340i | \(-0.604750\pi\) |
0.657967 | + | 0.753047i | \(0.271417\pi\) | |||||||
\(824\) | −0.0328094 | + | 14.0914i | −0.00114297 | + | 0.490896i | ||||
\(825\) | 32.0056i | 1.11429i | ||||||||
\(826\) | −31.0977 | − | 27.6862i | −1.08203 | − | 0.963326i | ||||
\(827\) | −24.2601 | − | 24.2601i | −0.843607 | − | 0.843607i | 0.145719 | − | 0.989326i | \(-0.453450\pi\) |
−0.989326 | + | 0.145719i | \(0.953450\pi\) | |||||||
\(828\) | −3.50475 | − | 2.95011i | −0.121798 | − | 0.102524i | ||||
\(829\) | −26.5881 | − | 7.12426i | −0.923443 | − | 0.247436i | −0.234386 | − | 0.972144i | \(-0.575308\pi\) |
−0.689056 | + | 0.724708i | \(0.741975\pi\) | |||||||
\(830\) | 55.3144 | + | 20.1814i | 1.91999 | + | 0.700508i | ||||
\(831\) | −14.3260 | + | 24.8133i | −0.496962 | + | 0.860764i | ||||
\(832\) | 5.33465 | + | 20.2866i | 0.184946 | + | 0.703310i | ||||
\(833\) | −10.4698 | + | 11.1227i | −0.362758 | + | 0.385378i | ||||
\(834\) | −14.4499 | + | 12.1058i | −0.500359 | + | 0.419190i | ||||
\(835\) | 6.96892 | + | 26.0084i | 0.241170 | + | 0.900057i | ||||
\(836\) | 34.3550 | − | 12.4438i | 1.18819 | − | 0.430379i | ||||
\(837\) | 2.16545 | − | 8.08156i | 0.0748488 | − | 0.279340i | ||||
\(838\) | −8.55014 | − | 5.99677i | −0.295360 | − | 0.207155i | ||||
\(839\) | 30.0965i | 1.03905i | 0.854456 | + | 0.519524i | \(0.173891\pi\) | ||||
−0.854456 | + | 0.519524i | \(0.826109\pi\) | |||||||
\(840\) | 3.00313 | − | 25.3070i | 0.103618 | − | 0.873175i | ||||
\(841\) | − | 24.1016i | − | 0.831091i | ||||||
\(842\) | 13.8627 | − | 19.7653i | 0.477739 | − | 0.681157i | ||||
\(843\) | −4.99060 | + | 18.6252i | −0.171885 | + | 0.641484i | ||||
\(844\) | −10.2461 | + | 21.8842i | −0.352687 | + | 0.753284i | ||||
\(845\) | −5.39861 | − | 20.1479i | −0.185718 | − | 0.693108i | ||||
\(846\) | −8.51753 | − | 10.1668i | −0.292839 | − | 0.349542i | ||||
\(847\) | −13.1515 | − | 30.4410i | −0.451890 | − | 1.04596i | ||||
\(848\) | −8.78348 | − | 18.9899i | −0.301626 | − | 0.652116i | ||||
\(849\) | −4.28744 | + | 7.42606i | −0.147145 | + | 0.254862i | ||||
\(850\) | 6.97852 | − | 19.1271i | 0.239361 | − | 0.656055i | ||||
\(851\) | −12.8998 | − | 3.45648i | −0.442198 | − | 0.118487i | ||||
\(852\) | 0.663448 | + | 7.72126i | 0.0227293 | + | 0.264526i | ||||
\(853\) | 30.9596 | + | 30.9596i | 1.06004 | + | 1.06004i | 0.998079 | + | 0.0619563i | \(0.0197340\pi\) |
0.0619563 | + | 0.998079i | \(0.480266\pi\) | |||||||
\(854\) | 11.3064 | + | 2.33704i | 0.386897 | + | 0.0799717i | ||||
\(855\) | − | 12.8254i | − | 0.438618i | ||||||
\(856\) | −8.64693 | − | 8.68729i | −0.295546 | − | 0.296926i | ||||
\(857\) | −22.1258 | + | 12.7743i | −0.755802 | + | 0.436362i | −0.827786 | − | 0.561044i | \(-0.810400\pi\) |
0.0719848 | + | 0.997406i | \(0.477067\pi\) | |||||||
\(858\) | 16.3090 | − | 7.58963i | 0.556782 | − | 0.259106i | ||||
\(859\) | 41.6745 | − | 11.1666i | 1.42191 | − | 0.381001i | 0.535752 | − | 0.844375i | \(-0.320028\pi\) |
0.886163 | + | 0.463374i | \(0.153361\pi\) | |||||||
\(860\) | 59.7849 | + | 10.6374i | 2.03865 | + | 0.362733i | ||||
\(861\) | −11.7884 | + | 9.33191i | −0.401746 | + | 0.318031i | ||||
\(862\) | 6.46145 | − | 5.41326i | 0.220078 | − | 0.184376i | ||||
\(863\) | 4.46210 | − | 7.72858i | 0.151892 | − | 0.263084i | −0.780031 | − | 0.625741i | \(-0.784797\pi\) |
0.931923 | + | 0.362657i | \(0.118130\pi\) | |||||||
\(864\) | −0.471156 | − | 5.63720i | −0.0160290 | − | 0.191781i | ||||
\(865\) | −25.7272 | − | 44.5608i | −0.874751 | − | 1.51511i | ||||
\(866\) | 1.20468 | + | 6.86324i | 0.0409368 | + | 0.233222i | ||||
\(867\) | 8.65367 | − | 8.65367i | 0.293894 | − | 0.293894i | ||||
\(868\) | 10.1675 | + | 43.0888i | 0.345106 | + | 1.46253i | ||||
\(869\) | −50.5866 | − | 50.5866i | −1.71603 | − | 1.71603i | ||||
\(870\) | −28.7330 | − | 20.1523i | −0.974139 | − | 0.683227i | ||||
\(871\) | −12.4178 | + | 7.16943i | −0.420762 | + | 0.242927i | ||||
\(872\) | 8.32842 | + | 31.3741i | 0.282036 | + | 1.06246i | ||||
\(873\) | 4.01325 | + | 2.31705i | 0.135828 | + | 0.0784203i | ||||
\(874\) | 12.1522 | + | 1.07268i | 0.411054 | + | 0.0362841i | ||||
\(875\) | −14.2411 | + | 2.09428i | −0.481437 | + | 0.0707996i | ||||
\(876\) | −10.7699 | + | 7.51625i | −0.363880 | + | 0.253950i | ||||
\(877\) | 0.603461 | + | 2.25215i | 0.0203774 | + | 0.0760496i | 0.975366 | − | 0.220594i | \(-0.0707995\pi\) |
−0.954988 | + | 0.296643i | \(0.904133\pi\) | |||||||
\(878\) | −1.81190 | + | 4.96616i | −0.0611486 | + | 0.167600i | ||||
\(879\) | −10.2125 | − | 17.6886i | −0.344459 | − | 0.596621i | ||||
\(880\) | −42.3196 | − | 50.7537i | −1.42659 | − | 1.71091i | ||||
\(881\) | 7.47281 | 0.251765 | 0.125883 | − | 0.992045i | \(-0.459824\pi\) | ||||
0.125883 | + | 0.992045i | \(0.459824\pi\) | |||||||
\(882\) | 9.88295 | + | 0.572045i | 0.332776 | + | 0.0192618i | ||||
\(883\) | 9.79648 | − | 9.79648i | 0.329678 | − | 0.329678i | −0.522786 | − | 0.852464i | \(-0.675107\pi\) |
0.852464 | + | 0.522786i | \(0.175107\pi\) | |||||||
\(884\) | −11.4014 | + | 0.979664i | −0.383471 | + | 0.0329497i | ||||
\(885\) | −9.80819 | + | 36.6047i | −0.329699 | + | 1.23045i | ||||
\(886\) | −24.7826 | − | 53.2544i | −0.832589 | − | 1.78912i | ||||
\(887\) | 2.45856 | + | 1.41945i | 0.0825502 | + | 0.0476604i | 0.540707 | − | 0.841211i | \(-0.318157\pi\) |
−0.458157 | + | 0.888871i | \(0.651490\pi\) | |||||||
\(888\) | −8.21217 | − | 14.3007i | −0.275582 | − | 0.479899i | ||||
\(889\) | −1.60323 | − | 1.19214i | −0.0537706 | − | 0.0399832i | ||||
\(890\) | 4.27319 | − | 48.4100i | 0.143238 | − | 1.62271i | ||||
\(891\) | −4.68583 | + | 1.25556i | −0.156981 | + | 0.0420630i | ||||
\(892\) | 4.42809 | − | 1.60391i | 0.148263 | − | 0.0537030i | ||||
\(893\) | 34.1164 | + | 9.14145i | 1.14166 | + | 0.305907i | ||||
\(894\) | −0.978614 | − | 5.57529i | −0.0327297 | − | 0.186466i | ||||
\(895\) | −29.1044 | −0.972852 | ||||||||
\(896\) | 16.3267 | + | 25.0886i | 0.545438 | + | 0.838151i | ||||
\(897\) | 6.00589 | 0.200531 | ||||||||
\(898\) | −4.54315 | − | 25.8829i | −0.151607 | − | 0.863724i | ||||
\(899\) | 58.8910 | + | 15.7798i | 1.96413 | + | 0.526286i | ||||
\(900\) | −12.4063 | + | 4.49375i | −0.413545 | + | 0.149792i | ||||
\(901\) | 11.0254 | − | 2.95424i | 0.367308 | − | 0.0984200i | ||||
\(902\) | −3.42801 | + | 38.8352i | −0.114140 | + | 1.29307i | ||||
\(903\) | −2.72512 | + | 23.4303i | −0.0906862 | + | 0.779711i | ||||
\(904\) | 29.4417 | + | 51.2698i | 0.979215 | + | 1.70521i | ||||
\(905\) | −0.899103 | − | 0.519097i | −0.0298872 | − | 0.0172554i | ||||
\(906\) | −11.2574 | − | 24.1907i | −0.374004 | − | 0.803681i | ||||
\(907\) | 3.21974 | − | 12.0162i | 0.106910 | − | 0.398993i | −0.891645 | − | 0.452735i | \(-0.850448\pi\) |
0.998555 | + | 0.0537423i | \(0.0171150\pi\) | |||||||
\(908\) | −7.12556 | + | 0.612262i | −0.236470 | + | 0.0203186i | ||||
\(909\) | −2.78038 | + | 2.78038i | −0.0922194 | + | 0.0922194i | ||||
\(910\) | 18.3537 | + | 27.9180i | 0.608418 | + | 0.925474i | ||||
\(911\) | 7.19558 | 0.238400 | 0.119200 | − | 0.992870i | \(-0.461967\pi\) | ||||
0.119200 | + | 0.992870i | \(0.461967\pi\) | |||||||
\(912\) | 9.64721 | + | 11.5698i | 0.319451 | + | 0.383116i | ||||
\(913\) | 29.6545 | + | 51.3630i | 0.981420 | + | 1.69987i | ||||
\(914\) | 3.77380 | − | 10.3434i | 0.124826 | − | 0.342130i | ||||
\(915\) | −2.71972 | − | 10.1501i | −0.0899113 | − | 0.335554i | ||||
\(916\) | −32.3317 | + | 22.5642i | −1.06827 | + | 0.745542i | ||||
\(917\) | 5.65122 | − | 14.2485i | 0.186620 | − | 0.470528i | ||||
\(918\) | 3.07410 | + | 0.271353i | 0.101460 | + | 0.00895599i | ||||
\(919\) | −13.4264 | − | 7.75176i | −0.442897 | − | 0.255707i | 0.261929 | − | 0.965087i | \(-0.415642\pi\) |
−0.704826 | + | 0.709380i | \(0.748975\pi\) | |||||||
\(920\) | −5.66073 | − | 21.3246i | −0.186629 | − | 0.703051i | ||||
\(921\) | −1.54750 | + | 0.893450i | −0.0509919 | + | 0.0294402i | ||||
\(922\) | −32.9622 | − | 23.1185i | −1.08555 | − | 0.761368i | ||||
\(923\) | −7.18421 | − | 7.18421i | −0.236471 | − | 0.236471i | ||||
\(924\) | 18.6888 | − | 17.5973i | 0.614818 | − | 0.578908i | ||||
\(925\) | −27.1999 | + | 27.1999i | −0.894327 | + | 0.894327i | ||||
\(926\) | −0.438083 | − | 2.49582i | −0.0143963 | − | 0.0820177i | ||||
\(927\) | 2.49103 | + | 4.31460i | 0.0818163 | + | 0.141710i | ||||
\(928\) | 41.0788 | − | 3.43335i | 1.34848 | − | 0.112705i | ||||
\(929\) | −6.09908 | + | 10.5639i | −0.200104 | + | 0.346591i | −0.948562 | − | 0.316592i | \(-0.897461\pi\) |
0.748457 | + | 0.663183i | \(0.230795\pi\) | |||||||
\(930\) | 30.8877 | − | 25.8771i | 1.01285 | − | 0.848543i | ||||
\(931\) | −22.4217 | + | 13.8651i | −0.734841 | + | 0.454410i | ||||
\(932\) | 7.43744 | + | 1.32333i | 0.243622 | + | 0.0433471i | ||||
\(933\) | 0.959586 | − | 0.257120i | 0.0314154 | − | 0.00841774i | ||||
\(934\) | −6.49595 | + | 3.02297i | −0.212554 | + | 0.0989147i | ||||
\(935\) | 31.2209 | − | 18.0254i | 1.02103 | − | 0.589493i | ||||
\(936\) | 5.23184 | + | 5.25626i | 0.171008 | + | 0.171806i | ||||
\(937\) | 23.8573i | 0.779384i | 0.920945 | + | 0.389692i | \(0.127419\pi\) | ||||
−0.920945 | + | 0.389692i | \(0.872581\pi\) | |||||||
\(938\) | −13.6060 | + | 15.2825i | −0.444252 | + | 0.498993i | ||||
\(939\) | 7.90698 | + | 7.90698i | 0.258035 | + | 0.258035i | ||||
\(940\) | −5.46849 | − | 63.6428i | −0.178363 | − | 2.07580i | ||||
\(941\) | −2.44668 | − | 0.655585i | −0.0797594 | − | 0.0213715i | 0.218719 | − | 0.975788i | \(-0.429812\pi\) |
−0.298478 | + | 0.954416i | \(0.596479\pi\) | |||||||
\(942\) | −7.43487 | + | 20.3779i | −0.242241 | + | 0.663948i | ||||
\(943\) | −6.50822 | + | 11.2726i | −0.211937 | + | 0.367085i | ||||
\(944\) | −18.6859 | − | 40.3991i | −0.608175 | − | 1.31488i | ||||
\(945\) | −3.57344 | − | 8.27124i | −0.116244 | − | 0.269064i | ||||
\(946\) | 39.2799 | + | 46.8858i | 1.27710 | + | 1.52439i | ||||
\(947\) | −3.74528 | − | 13.9776i | −0.121705 | − | 0.454211i | 0.877995 | − | 0.478669i | \(-0.158881\pi\) |
−0.999701 | + | 0.0244582i | \(0.992214\pi\) | |||||||
\(948\) | 12.5063 | − | 26.7115i | 0.406185 | − | 0.867549i | ||||
\(949\) | 4.45634 | − | 16.6313i | 0.144659 | − | 0.539875i | ||||
\(950\) | 20.1770 | − | 28.7682i | 0.654628 | − | 0.933364i | ||||
\(951\) | − | 32.7235i | − | 1.06113i | ||||||
\(952\) | −15.0057 | + | 6.44152i | −0.486337 | + | 0.208771i | ||||
\(953\) | − | 24.8783i | − | 0.805886i | −0.915225 | − | 0.402943i | \(-0.867987\pi\) | ||
0.915225 | − | 0.402943i | \(-0.132013\pi\) | |||||||
\(954\) | −6.05626 | − | 4.24765i | −0.196079 | − | 0.137523i | ||||
\(955\) | −14.4084 | + | 53.7727i | −0.466244 | + | 1.74005i | ||||
\(956\) | 1.63428 | − | 0.591960i | 0.0528565 | − | 0.0191453i | ||||
\(957\) | −9.14941 | − | 34.1461i | −0.295758 | − | 1.10379i | ||||
\(958\) | −12.8849 | + | 10.7947i | −0.416292 | + | 0.348760i | ||||
\(959\) | 1.79608 | + | 0.208897i | 0.0579984 | + | 0.00674565i | ||||
\(960\) | 13.7318 | − | 23.5304i | 0.443192 | − | 0.759442i | ||||
\(961\) | −19.5004 | + | 33.7756i | −0.629044 | + | 1.08954i | ||||
\(962\) | 20.3102 | + | 7.41018i | 0.654828 | + | 0.238914i | ||||
\(963\) | −4.18591 | − | 1.12161i | −0.134889 | − | 0.0361434i | ||||
\(964\) | 6.33828 | + | 5.33523i | 0.204142 | + | 0.171836i | ||||
\(965\) | 17.6915 | + | 17.6915i | 0.569508 | + | 0.569508i | ||||
\(966\) | 8.13599 | − | 2.69410i | 0.261771 | − | 0.0866811i | ||||
\(967\) | − | 7.38809i | − | 0.237585i | −0.992919 | − | 0.118793i | \(-0.962098\pi\) | ||
0.992919 | − | 0.118793i | \(-0.0379023\pi\) | |||||||
\(968\) | 0.0825391 | − | 35.4499i | 0.00265291 | − | 1.13940i | ||||
\(969\) | −7.11713 | + | 4.10908i | −0.228635 | + | 0.132003i | ||||
\(970\) | 9.41648 | + | 20.2347i | 0.302345 | + | 0.649697i | ||||
\(971\) | 27.9454 | − | 7.48795i | 0.896811 | − | 0.240300i | 0.219165 | − | 0.975688i | \(-0.429667\pi\) |
0.677646 | + | 0.735388i | \(0.263000\pi\) | |||||||
\(972\) | −1.14461 | − | 1.64008i | −0.0367133 | − | 0.0526057i | ||||
\(973\) | −5.13106 | − | 34.8912i | −0.164494 | − | 1.11856i | ||||
\(974\) | 16.6117 | + | 19.8283i | 0.532273 | + | 0.635339i | ||||
\(975\) | 8.64951 | − | 14.9814i | 0.277006 | − | 0.479788i | ||||
\(976\) | 10.0884 | + | 7.11076i | 0.322922 | + | 0.227610i | ||||
\(977\) | −20.0275 | − | 34.6886i | −0.640736 | − | 1.10979i | −0.985269 | − | 0.171013i | \(-0.945296\pi\) |
0.344532 | − | 0.938774i | \(-0.388037\pi\) | |||||||
\(978\) | −6.71748 | + | 1.17910i | −0.214801 | + | 0.0377034i | ||||
\(979\) | 34.6138 | − | 34.6138i | 1.10626 | − | 1.10626i | ||||
\(980\) | 37.3865 | + | 29.5867i | 1.19427 | + | 0.945112i | ||||
\(981\) | 8.11518 | + | 8.11518i | 0.259098 | + | 0.259098i | ||||
\(982\) | −16.3578 | + | 23.3227i | −0.521997 | + | 0.744259i | ||||
\(983\) | −11.9187 | + | 6.88125i | −0.380147 | + | 0.219478i | −0.677882 | − | 0.735171i | \(-0.737102\pi\) |
0.297735 | + | 0.954648i | \(0.403769\pi\) | |||||||
\(984\) | −15.5350 | + | 4.12385i | −0.495238 | + | 0.131464i | ||||
\(985\) | −38.0520 | − | 21.9693i | −1.21244 | − | 0.700001i | ||||
\(986\) | −1.97737 | + | 22.4012i | −0.0629724 | + | 0.713400i | ||||
\(987\) | 24.5491 | − | 3.61017i | 0.781407 | − | 0.114913i | ||||
\(988\) | −19.4440 | − | 3.45963i | −0.618597 | − | 0.110066i | ||||
\(989\) | 5.28545 | + | 19.7256i | 0.168068 | + | 0.627237i | ||||
\(990\) | −21.9485 | − | 8.00789i | −0.697568 | − | 0.254507i | ||||
\(991\) | 23.4150 | + | 40.5559i | 0.743801 | + | 1.28830i | 0.950753 | + | 0.309951i | \(0.100312\pi\) |
−0.206951 | + | 0.978351i | \(0.566354\pi\) | |||||||
\(992\) | −8.39938 | + | 46.5776i | −0.266681 | + | 1.47884i | ||||
\(993\) | −9.98707 | −0.316930 | ||||||||
\(994\) | −12.9549 | − | 6.50956i | −0.410904 | − | 0.206471i | ||||
\(995\) | −52.7185 | + | 52.7185i | −1.67129 | + | 1.67129i | ||||
\(996\) | −15.7462 | + | 18.7066i | −0.498939 | + | 0.592741i | ||||
\(997\) | −5.75744 | + | 21.4871i | −0.182340 | + | 0.680502i | 0.812844 | + | 0.582481i | \(0.197918\pi\) |
−0.995184 | + | 0.0980212i | \(0.968749\pi\) | |||||||
\(998\) | 20.3152 | − | 9.45394i | 0.643066 | − | 0.299259i | ||||
\(999\) | −5.04928 | − | 2.91520i | −0.159752 | − | 0.0922330i |
(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 | 336.2.bq.b.37.14 | ✓ | 120 | |
7.4 | even | 3 | inner | 336.2.bq.b.277.27 | yes | 120 | |
16.13 | even | 4 | inner | 336.2.bq.b.205.27 | yes | 120 | |
112.109 | even | 12 | inner | 336.2.bq.b.109.14 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.14 | ✓ | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.109.14 | yes | 120 | 112.109 | even | 12 | inner | |
336.2.bq.b.205.27 | yes | 120 | 16.13 | even | 4 | inner | |
336.2.bq.b.277.27 | yes | 120 | 7.4 | even | 3 | inner |