Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 27.19 | ||
Character | \(\chi\) | \(=\) | 260.27 |
Dual form | 260.2.o.a.183.19 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0221303 | − | 1.41404i | 0.0156485 | − | 0.999878i | ||||
\(3\) | −0.798638 | − | 0.798638i | −0.461094 | − | 0.461094i | 0.437920 | − | 0.899014i | \(-0.355715\pi\) |
−0.899014 | + | 0.437920i | \(0.855715\pi\) | |||||||
\(4\) | −1.99902 | − | 0.0625863i | −0.999510 | − | 0.0312932i | ||||
\(5\) | −1.57330 | − | 1.58893i | −0.703603 | − | 0.710593i | ||||
\(6\) | −1.14698 | + | 1.11163i | −0.468253 | + | 0.453822i | ||||
\(7\) | −1.30625 | + | 1.30625i | −0.493715 | + | 0.493715i | −0.909474 | − | 0.415760i | \(-0.863516\pi\) |
0.415760 | + | 0.909474i | \(0.363516\pi\) | |||||||
\(8\) | −0.132739 | + | 2.82531i | −0.0469301 | + | 0.998898i | ||||
\(9\) | − | 1.72435i | − | 0.574785i | ||||||
\(10\) | −2.28164 | + | 2.18955i | −0.721517 | + | 0.692397i | ||||
\(11\) | 3.52160i | 1.06180i | 0.847434 | + | 0.530901i | \(0.178146\pi\) | ||||
−0.847434 | + | 0.530901i | \(0.821854\pi\) | |||||||
\(12\) | 1.54651 | + | 1.64648i | 0.446439 | + | 0.475297i | ||||
\(13\) | −0.707107 | + | 0.707107i | −0.196116 | + | 0.196116i | ||||
\(14\) | 1.81818 | + | 1.87599i | 0.485928 | + | 0.501380i | ||||
\(15\) | −0.0124834 | + | 2.52548i | −0.00322320 | + | 0.652077i | ||||
\(16\) | 3.99217 | + | 0.250223i | 0.998041 | + | 0.0625557i | ||||
\(17\) | −1.96348 | − | 1.96348i | −0.476214 | − | 0.476214i | 0.427705 | − | 0.903919i | \(-0.359322\pi\) |
−0.903919 | + | 0.427705i | \(0.859322\pi\) | |||||||
\(18\) | −2.43831 | − | 0.0381605i | −0.574714 | − | 0.00899451i | ||||
\(19\) | −2.70752 | −0.621148 | −0.310574 | − | 0.950549i | \(-0.600521\pi\) | ||||
−0.310574 | + | 0.950549i | \(0.600521\pi\) | |||||||
\(20\) | 3.04562 | + | 3.27478i | 0.681022 | + | 0.732263i | ||||
\(21\) | 2.08644 | 0.455298 | ||||||||
\(22\) | 4.97969 | + | 0.0779341i | 1.06167 | + | 0.0166156i | ||||
\(23\) | −4.89998 | − | 4.89998i | −1.02172 | − | 1.02172i | −0.999759 | − | 0.0219567i | \(-0.993010\pi\) |
−0.0219567 | − | 0.999759i | \(-0.506990\pi\) | |||||||
\(24\) | 2.36241 | − | 2.15039i | 0.482225 | − | 0.438947i | ||||
\(25\) | −0.0494285 | + | 4.99976i | −0.00988571 | + | 0.999951i | ||||
\(26\) | 0.984229 | + | 1.01553i | 0.193023 | + | 0.199161i | ||||
\(27\) | −3.77305 | + | 3.77305i | −0.726124 | + | 0.726124i | ||||
\(28\) | 2.69297 | − | 2.52946i | 0.508923 | − | 0.478023i | ||||
\(29\) | − | 6.90940i | − | 1.28304i | −0.767105 | − | 0.641522i | \(-0.778303\pi\) | ||
0.767105 | − | 0.641522i | \(-0.221697\pi\) | |||||||
\(30\) | 3.57086 | + | 0.0735418i | 0.651947 | + | 0.0134268i | ||||
\(31\) | 4.15716i | 0.746647i | 0.927701 | + | 0.373324i | \(0.121782\pi\) | ||||
−0.927701 | + | 0.373324i | \(0.878218\pi\) | |||||||
\(32\) | 0.442173 | − | 5.63955i | 0.0781658 | − | 0.996940i | ||||
\(33\) | 2.81248 | − | 2.81248i | 0.489591 | − | 0.489591i | ||||
\(34\) | −2.81989 | + | 2.73299i | −0.483608 | + | 0.468703i | ||||
\(35\) | 4.13066 | + | 0.0204178i | 0.698210 | + | 0.00345123i | ||||
\(36\) | −0.107921 | + | 3.44702i | −0.0179868 | + | 0.574503i | ||||
\(37\) | −6.10784 | − | 6.10784i | −1.00412 | − | 1.00412i | −0.999991 | − | 0.00413068i | \(-0.998685\pi\) |
−0.00413068 | − | 0.999991i | \(-0.501315\pi\) | |||||||
\(38\) | −0.0599183 | + | 3.82854i | −0.00972003 | + | 0.621072i | ||||
\(39\) | 1.12944 | 0.180856 | ||||||||
\(40\) | 4.69807 | − | 4.23416i | 0.742831 | − | 0.669479i | ||||
\(41\) | 8.91075 | 1.39162 | 0.695812 | − | 0.718224i | \(-0.255045\pi\) | ||||
0.695812 | + | 0.718224i | \(0.255045\pi\) | |||||||
\(42\) | 0.0461735 | − | 2.95031i | 0.00712472 | − | 0.455242i | ||||
\(43\) | −7.58581 | − | 7.58581i | −1.15683 | − | 1.15683i | −0.985154 | − | 0.171671i | \(-0.945083\pi\) |
−0.171671 | − | 0.985154i | \(-0.554917\pi\) | |||||||
\(44\) | 0.220404 | − | 7.03975i | 0.0332271 | − | 1.06128i | ||||
\(45\) | −2.73989 | + | 2.71293i | −0.408438 | + | 0.404420i | ||||
\(46\) | −7.03720 | + | 6.82033i | −1.03758 | + | 1.00560i | ||||
\(47\) | 5.48290 | − | 5.48290i | 0.799763 | − | 0.799763i | −0.183295 | − | 0.983058i | \(-0.558676\pi\) |
0.983058 | + | 0.183295i | \(0.0586763\pi\) | |||||||
\(48\) | −2.98846 | − | 3.38813i | −0.431347 | − | 0.489035i | ||||
\(49\) | 3.58744i | 0.512492i | ||||||||
\(50\) | 7.06876 | + | 0.180540i | 0.999674 | + | 0.0255322i | ||||
\(51\) | 3.13622i | 0.439159i | ||||||||
\(52\) | 1.45778 | − | 1.36927i | 0.202157 | − | 0.189883i | ||||
\(53\) | −4.55558 | + | 4.55558i | −0.625757 | + | 0.625757i | −0.946998 | − | 0.321241i | \(-0.895900\pi\) |
0.321241 | + | 0.946998i | \(0.395900\pi\) | |||||||
\(54\) | 5.25175 | + | 5.41874i | 0.714672 | + | 0.737398i | ||||
\(55\) | 5.59559 | − | 5.54055i | 0.754510 | − | 0.747087i | ||||
\(56\) | −3.51716 | − | 3.86394i | −0.470001 | − | 0.516341i | ||||
\(57\) | 2.16233 | + | 2.16233i | 0.286408 | + | 0.286408i | ||||
\(58\) | −9.77017 | − | 0.152907i | −1.28289 | − | 0.0200777i | ||||
\(59\) | 2.28885 | 0.297982 | 0.148991 | − | 0.988839i | \(-0.452397\pi\) | ||||
0.148991 | + | 0.988839i | \(0.452397\pi\) | |||||||
\(60\) | 0.183015 | − | 5.04771i | 0.0236272 | − | 0.651657i | ||||
\(61\) | −7.76763 | −0.994543 | −0.497272 | − | 0.867595i | \(-0.665665\pi\) | ||||
−0.497272 | + | 0.867595i | \(0.665665\pi\) | |||||||
\(62\) | 5.87839 | + | 0.0919991i | 0.746556 | + | 0.0116839i | ||||
\(63\) | 2.25243 | + | 2.25243i | 0.283780 | + | 0.283780i | ||||
\(64\) | −7.96476 | − | 0.750055i | −0.995595 | − | 0.0937569i | ||||
\(65\) | 2.23604 | + | 0.0110527i | 0.277347 | + | 0.00137092i | ||||
\(66\) | −3.91473 | − | 4.03921i | −0.481869 | − | 0.497192i | ||||
\(67\) | 0.898523 | − | 0.898523i | 0.109772 | − | 0.109772i | −0.650087 | − | 0.759859i | \(-0.725268\pi\) |
0.759859 | + | 0.650087i | \(0.225268\pi\) | |||||||
\(68\) | 3.80215 | + | 4.04792i | 0.461078 | + | 0.490883i | ||||
\(69\) | 7.82662i | 0.942214i | ||||||||
\(70\) | 0.120284 | − | 5.84047i | 0.0143767 | − | 0.698070i | ||||
\(71\) | − | 14.2978i | − | 1.69683i | −0.529331 | − | 0.848416i | \(-0.677557\pi\) | ||
0.529331 | − | 0.848416i | \(-0.322443\pi\) | |||||||
\(72\) | 4.87184 | + | 0.228888i | 0.574151 | + | 0.0269747i | ||||
\(73\) | 3.84146 | − | 3.84146i | 0.449609 | − | 0.449609i | −0.445616 | − | 0.895224i | \(-0.647015\pi\) |
0.895224 | + | 0.445616i | \(0.147015\pi\) | |||||||
\(74\) | −8.77190 | + | 8.50156i | −1.01971 | + | 0.988286i | ||||
\(75\) | 4.03247 | − | 3.95352i | 0.465630 | − | 0.456513i | ||||
\(76\) | 5.41239 | + | 0.169454i | 0.620844 | + | 0.0194377i | ||||
\(77\) | −4.60008 | − | 4.60008i | −0.524228 | − | 0.524228i | ||||
\(78\) | 0.0249950 | − | 1.59708i | 0.00283012 | − | 0.180834i | ||||
\(79\) | 0.766856 | 0.0862780 | 0.0431390 | − | 0.999069i | \(-0.486264\pi\) | ||||
0.0431390 | + | 0.999069i | \(0.486264\pi\) | |||||||
\(80\) | −5.88330 | − | 6.73697i | −0.657773 | − | 0.753216i | ||||
\(81\) | 0.853540 | 0.0948378 | ||||||||
\(82\) | 0.197198 | − | 12.6002i | 0.0217768 | − | 1.39145i | ||||
\(83\) | 0.727706 | + | 0.727706i | 0.0798761 | + | 0.0798761i | 0.745916 | − | 0.666040i | \(-0.232012\pi\) |
−0.666040 | + | 0.745916i | \(0.732012\pi\) | |||||||
\(84\) | −4.17083 | − | 0.130582i | −0.455075 | − | 0.0142477i | ||||
\(85\) | −0.0306909 | + | 6.20899i | −0.00332889 | + | 0.673460i | ||||
\(86\) | −10.8945 | + | 10.5588i | −1.17479 | + | 1.13858i | ||||
\(87\) | −5.51811 | + | 5.51811i | −0.591603 | + | 0.591603i | ||||
\(88\) | −9.94962 | − | 0.467452i | −1.06063 | − | 0.0498305i | ||||
\(89\) | 0.442426i | 0.0468970i | 0.999725 | + | 0.0234485i | \(0.00746458\pi\) | ||||
−0.999725 | + | 0.0234485i | \(0.992535\pi\) | |||||||
\(90\) | 3.77556 | + | 3.93435i | 0.397979 | + | 0.414717i | ||||
\(91\) | − | 1.84731i | − | 0.193651i | ||||||
\(92\) | 9.48848 | + | 10.1018i | 0.989243 | + | 1.05319i | ||||
\(93\) | 3.32006 | − | 3.32006i | 0.344274 | − | 0.344274i | ||||
\(94\) | −7.63170 | − | 7.87438i | −0.787150 | − | 0.812180i | ||||
\(95\) | 4.25975 | + | 4.30208i | 0.437042 | + | 0.441384i | ||||
\(96\) | −4.85709 | + | 4.15082i | −0.495725 | + | 0.423641i | ||||
\(97\) | 5.22374 | + | 5.22374i | 0.530390 | + | 0.530390i | 0.920688 | − | 0.390298i | \(-0.127628\pi\) |
−0.390298 | + | 0.920688i | \(0.627628\pi\) | |||||||
\(98\) | 5.07279 | + | 0.0793912i | 0.512429 | + | 0.00801972i | ||||
\(99\) | 6.07249 | 0.610308 | ||||||||
\(100\) | 0.411725 | − | 9.99152i | 0.0411725 | − | 0.999152i | ||||
\(101\) | 3.42179 | 0.340481 | 0.170240 | − | 0.985403i | \(-0.445546\pi\) | ||||
0.170240 | + | 0.985403i | \(0.445546\pi\) | |||||||
\(102\) | 4.43474 | + | 0.0694055i | 0.439105 | + | 0.00687217i | ||||
\(103\) | 9.11709 | + | 9.11709i | 0.898333 | + | 0.898333i | 0.995289 | − | 0.0969555i | \(-0.0309104\pi\) |
−0.0969555 | + | 0.995289i | \(0.530910\pi\) | |||||||
\(104\) | −1.90394 | − | 2.09166i | −0.186696 | − | 0.205104i | ||||
\(105\) | −3.28260 | − | 3.31521i | −0.320349 | − | 0.323532i | ||||
\(106\) | 6.34096 | + | 6.54259i | 0.615888 | + | 0.635473i | ||||
\(107\) | −0.884982 | + | 0.884982i | −0.0855545 | + | 0.0855545i | −0.748589 | − | 0.663034i | \(-0.769268\pi\) |
0.663034 | + | 0.748589i | \(0.269268\pi\) | |||||||
\(108\) | 7.77854 | − | 7.30626i | 0.748491 | − | 0.703045i | ||||
\(109\) | 1.15044i | 0.110192i | 0.998481 | + | 0.0550959i | \(0.0175465\pi\) | ||||
−0.998481 | + | 0.0550959i | \(0.982454\pi\) | |||||||
\(110\) | −7.71073 | − | 8.03501i | −0.735189 | − | 0.766108i | ||||
\(111\) | 9.75590i | 0.925989i | ||||||||
\(112\) | −5.54160 | + | 4.88790i | −0.523632 | + | 0.461863i | ||||
\(113\) | 2.17872 | − | 2.17872i | 0.204956 | − | 0.204956i | −0.597163 | − | 0.802120i | \(-0.703706\pi\) |
0.802120 | + | 0.597163i | \(0.203706\pi\) | |||||||
\(114\) | 3.10547 | − | 3.00977i | 0.290854 | − | 0.281891i | ||||
\(115\) | −0.0765909 | + | 15.4949i | −0.00714214 | + | 1.44491i | ||||
\(116\) | −0.432434 | + | 13.8120i | −0.0401505 | + | 1.28241i | ||||
\(117\) | 1.21930 | + | 1.21930i | 0.112725 | + | 0.112725i | ||||
\(118\) | 0.0506529 | − | 3.23652i | 0.00466298 | − | 0.297946i | ||||
\(119\) | 5.12958 | 0.470228 | ||||||||
\(120\) | −7.13362 | − | 0.370499i | −0.651208 | − | 0.0338217i | ||||
\(121\) | −1.40167 | −0.127425 | ||||||||
\(122\) | −0.171900 | + | 10.9837i | −0.0155631 | + | 0.994422i | ||||
\(123\) | −7.11646 | − | 7.11646i | −0.641670 | − | 0.641670i | ||||
\(124\) | 0.260181 | − | 8.31024i | 0.0233649 | − | 0.746282i | ||||
\(125\) | 8.02205 | − | 7.78760i | 0.717514 | − | 0.696544i | ||||
\(126\) | 3.23488 | − | 3.13518i | 0.288186 | − | 0.279304i | ||||
\(127\) | −7.30276 | + | 7.30276i | −0.648015 | + | 0.648015i | −0.952513 | − | 0.304498i | \(-0.901511\pi\) |
0.304498 | + | 0.952513i | \(0.401511\pi\) | |||||||
\(128\) | −1.23687 | + | 11.2459i | −0.109325 | + | 0.994006i | ||||
\(129\) | 12.1166i | 1.06681i | ||||||||
\(130\) | 0.0651132 | − | 3.16161i | 0.00571081 | − | 0.277291i | ||||
\(131\) | 4.60019i | 0.401920i | 0.979599 | + | 0.200960i | \(0.0644061\pi\) | ||||
−0.979599 | + | 0.200960i | \(0.935594\pi\) | |||||||
\(132\) | −5.79824 | + | 5.44619i | −0.504672 | + | 0.474030i | ||||
\(133\) | 3.53669 | − | 3.53669i | 0.306670 | − | 0.306670i | ||||
\(134\) | −1.25066 | − | 1.29043i | −0.108041 | − | 0.111476i | ||||
\(135\) | 11.9313 | + | 0.0589760i | 1.02688 | + | 0.00507585i | ||||
\(136\) | 5.80807 | − | 5.28681i | 0.498038 | − | 0.453340i | ||||
\(137\) | 11.8882 | + | 11.8882i | 1.01568 | + | 1.01568i | 0.999875 | + | 0.0158002i | \(0.00502957\pi\) |
0.0158002 | + | 0.999875i | \(0.494970\pi\) | |||||||
\(138\) | 11.0672 | + | 0.173205i | 0.942098 | + | 0.0147442i | ||||
\(139\) | −10.1337 | −0.859532 | −0.429766 | − | 0.902940i | \(-0.641404\pi\) | ||||
−0.429766 | + | 0.902940i | \(0.641404\pi\) | |||||||
\(140\) | −8.25600 | − | 0.299338i | −0.697760 | − | 0.0252987i | ||||
\(141\) | −8.75771 | −0.737532 | ||||||||
\(142\) | −20.2176 | − | 0.316414i | −1.69662 | − | 0.0265528i | ||||
\(143\) | −2.49015 | − | 2.49015i | −0.208237 | − | 0.208237i | ||||
\(144\) | 0.431472 | − | 6.88391i | 0.0359560 | − | 0.573659i | ||||
\(145\) | −10.9786 | + | 10.8706i | −0.911722 | + | 0.902753i | ||||
\(146\) | −5.34696 | − | 5.51699i | −0.442518 | − | 0.456589i | ||||
\(147\) | 2.86507 | − | 2.86507i | 0.236307 | − | 0.236307i | ||||
\(148\) | 11.8274 | + | 12.5920i | 0.972208 | + | 1.03505i | ||||
\(149\) | 13.1713i | 1.07904i | 0.841974 | + | 0.539519i | \(0.181394\pi\) | ||||
−0.841974 | + | 0.539519i | \(0.818606\pi\) | |||||||
\(150\) | −5.50120 | − | 5.78957i | −0.449171 | − | 0.472716i | ||||
\(151\) | − | 19.6586i | − | 1.59979i | −0.600137 | − | 0.799897i | \(-0.704887\pi\) | ||
0.600137 | − | 0.799897i | \(-0.295113\pi\) | |||||||
\(152\) | 0.359392 | − | 7.64959i | 0.0291506 | − | 0.620464i | ||||
\(153\) | −3.38573 | + | 3.38573i | −0.273720 | + | 0.273720i | ||||
\(154\) | −6.60650 | + | 6.40290i | −0.532367 | + | 0.515960i | ||||
\(155\) | 6.60545 | − | 6.54047i | 0.530562 | − | 0.525343i | ||||
\(156\) | −2.25778 | − | 0.0706878i | −0.180767 | − | 0.00565955i | ||||
\(157\) | −10.9745 | − | 10.9745i | −0.875863 | − | 0.875863i | 0.117241 | − | 0.993104i | \(-0.462595\pi\) |
−0.993104 | + | 0.117241i | \(0.962595\pi\) | |||||||
\(158\) | 0.0169708 | − | 1.08437i | 0.00135012 | − | 0.0862675i | ||||
\(159\) | 7.27652 | 0.577066 | ||||||||
\(160\) | −9.65654 | + | 8.17014i | −0.763417 | + | 0.645906i | ||||
\(161\) | 12.8012 | 1.00887 | ||||||||
\(162\) | 0.0188891 | − | 1.20694i | 0.00148407 | − | 0.0948261i | ||||
\(163\) | −4.24886 | − | 4.24886i | −0.332796 | − | 0.332796i | 0.520851 | − | 0.853648i | \(-0.325615\pi\) |
−0.853648 | + | 0.520851i | \(0.825615\pi\) | |||||||
\(164\) | −17.8128 | − | 0.557691i | −1.39094 | − | 0.0435483i | ||||
\(165\) | −8.89375 | − | 0.0439616i | −0.692377 | − | 0.00342240i | ||||
\(166\) | 1.04511 | − | 1.01290i | 0.0811163 | − | 0.0786164i | ||||
\(167\) | −12.8152 | + | 12.8152i | −0.991668 | + | 0.991668i | −0.999966 | − | 0.00829711i | \(-0.997359\pi\) |
0.00829711 | + | 0.999966i | \(0.497359\pi\) | |||||||
\(168\) | −0.276950 | + | 5.89483i | −0.0213672 | + | 0.454796i | ||||
\(169\) | − | 1.00000i | − | 0.0769231i | ||||||
\(170\) | 8.77909 | + | 0.180805i | 0.673325 | + | 0.0138671i | ||||
\(171\) | 4.66873i | 0.357026i | ||||||||
\(172\) | 14.6894 | + | 15.6390i | 1.12006 | + | 1.19246i | ||||
\(173\) | 3.57993 | − | 3.57993i | 0.272177 | − | 0.272177i | −0.557799 | − | 0.829976i | \(-0.688354\pi\) |
0.829976 | + | 0.557799i | \(0.188354\pi\) | |||||||
\(174\) | 7.68071 | + | 7.92495i | 0.582273 | + | 0.600789i | ||||
\(175\) | −6.46635 | − | 6.59548i | −0.488810 | − | 0.498571i | ||||
\(176\) | −0.881184 | + | 14.0588i | −0.0664217 | + | 1.05972i | ||||
\(177\) | −1.82796 | − | 1.82796i | −0.137398 | − | 0.137398i | ||||
\(178\) | 0.625608 | + | 0.00979101i | 0.0468913 | + | 0.000733868i | ||||
\(179\) | −2.63043 | −0.196608 | −0.0983039 | − | 0.995156i | \(-0.531342\pi\) | ||||
−0.0983039 | + | 0.995156i | \(0.531342\pi\) | |||||||
\(180\) | 5.64688 | − | 5.25173i | 0.420894 | − | 0.391441i | ||||
\(181\) | 18.4843 | 1.37393 | 0.686963 | − | 0.726692i | \(-0.258943\pi\) | ||||
0.686963 | + | 0.726692i | \(0.258943\pi\) | |||||||
\(182\) | −2.61217 | − | 0.0408816i | −0.193627 | − | 0.00303034i | ||||
\(183\) | 6.20353 | + | 6.20353i | 0.458578 | + | 0.458578i | ||||
\(184\) | 14.4944 | − | 13.1935i | 1.06854 | − | 0.972641i | ||||
\(185\) | −0.0954708 | + | 19.3144i | −0.00701915 | + | 1.42003i | ||||
\(186\) | −4.62123 | − | 4.76818i | −0.338845 | − | 0.349620i | ||||
\(187\) | 6.91459 | − | 6.91459i | 0.505645 | − | 0.505645i | ||||
\(188\) | −11.3036 | + | 10.6173i | −0.824398 | + | 0.774344i | ||||
\(189\) | − | 9.85706i | − | 0.716996i | ||||||
\(190\) | 6.17758 | − | 5.92826i | 0.448169 | − | 0.430081i | ||||
\(191\) | − | 23.2986i | − | 1.68582i | −0.538051 | − | 0.842912i | \(-0.680839\pi\) | ||
0.538051 | − | 0.842912i | \(-0.319161\pi\) | |||||||
\(192\) | 5.76194 | + | 6.95998i | 0.415832 | + | 0.502294i | ||||
\(193\) | 2.67458 | − | 2.67458i | 0.192520 | − | 0.192520i | −0.604264 | − | 0.796784i | \(-0.706533\pi\) |
0.796784 | + | 0.604264i | \(0.206533\pi\) | |||||||
\(194\) | 7.50218 | − | 7.27097i | 0.538625 | − | 0.522025i | ||||
\(195\) | −1.77696 | − | 1.79461i | −0.127251 | − | 0.128515i | ||||
\(196\) | 0.224525 | − | 7.17137i | 0.0160375 | − | 0.512241i | ||||
\(197\) | −12.7121 | − | 12.7121i | −0.905697 | − | 0.905697i | 0.0902242 | − | 0.995921i | \(-0.471242\pi\) |
−0.995921 | + | 0.0902242i | \(0.971242\pi\) | |||||||
\(198\) | 0.134386 | − | 8.58674i | 0.00955040 | − | 0.610233i | ||||
\(199\) | −7.65179 | −0.542421 | −0.271211 | − | 0.962520i | \(-0.587424\pi\) | ||||
−0.271211 | + | 0.962520i | \(0.587424\pi\) | |||||||
\(200\) | −14.1193 | − | 0.803311i | −0.998385 | − | 0.0568027i | ||||
\(201\) | −1.43519 | −0.101230 | ||||||||
\(202\) | 0.0757252 | − | 4.83855i | 0.00532801 | − | 0.340439i | ||||
\(203\) | 9.02538 | + | 9.02538i | 0.633457 | + | 0.633457i | ||||
\(204\) | 0.196284 | − | 6.26937i | 0.0137427 | − | 0.438944i | ||||
\(205\) | −14.0193 | − | 14.1586i | −0.979151 | − | 0.988879i | ||||
\(206\) | 13.0937 | − | 12.6902i | 0.912281 | − | 0.884166i | ||||
\(207\) | −8.44929 | + | 8.44929i | −0.587267 | + | 0.587267i | ||||
\(208\) | −2.99982 | + | 2.64595i | −0.208000 | + | 0.183464i | ||||
\(209\) | − | 9.53481i | − | 0.659537i | ||||||
\(210\) | −4.76049 | + | 4.56836i | −0.328505 | + | 0.315247i | ||||
\(211\) | − | 0.696850i | − | 0.0479731i | −0.999712 | − | 0.0239866i | \(-0.992364\pi\) | ||
0.999712 | − | 0.0239866i | \(-0.00763589\pi\) | |||||||
\(212\) | 9.39182 | − | 8.82158i | 0.645033 | − | 0.605869i | ||||
\(213\) | −11.4187 | + | 11.4187i | −0.782399 | + | 0.782399i | ||||
\(214\) | 1.23182 | + | 1.27099i | 0.0842052 | + | 0.0868828i | ||||
\(215\) | −0.118573 | + | 23.9881i | −0.00808660 | + | 1.63598i | ||||
\(216\) | −10.1592 | − | 11.1609i | −0.691247 | − | 0.759401i | ||||
\(217\) | −5.43027 | − | 5.43027i | −0.368631 | − | 0.368631i | ||||
\(218\) | 1.62676 | + | 0.0254595i | 0.110178 | + | 0.00172434i | ||||
\(219\) | −6.13587 | −0.414624 | ||||||||
\(220\) | −11.5325 | + | 10.7255i | −0.777519 | + | 0.723111i | ||||
\(221\) | 2.77678 | 0.186786 | ||||||||
\(222\) | 13.7952 | + | 0.215901i | 0.925876 | + | 0.0144903i | ||||
\(223\) | −8.11155 | − | 8.11155i | −0.543190 | − | 0.543190i | 0.381273 | − | 0.924463i | \(-0.375486\pi\) |
−0.924463 | + | 0.381273i | \(0.875486\pi\) | |||||||
\(224\) | 6.78905 | + | 7.94422i | 0.453613 | + | 0.530796i | ||||
\(225\) | 8.62135 | + | 0.0852323i | 0.574757 | + | 0.00568215i | ||||
\(226\) | −3.03258 | − | 3.12901i | −0.201724 | − | 0.208139i | ||||
\(227\) | 16.3431 | − | 16.3431i | 1.08473 | − | 1.08473i | 0.0886719 | − | 0.996061i | \(-0.471738\pi\) |
0.996061 | − | 0.0886719i | \(-0.0282623\pi\) | |||||||
\(228\) | −4.18721 | − | 4.45787i | −0.277305 | − | 0.295230i | ||||
\(229\) | 23.0298i | 1.52185i | 0.648838 | + | 0.760926i | \(0.275255\pi\) | ||||
−0.648838 | + | 0.760926i | \(0.724745\pi\) | |||||||
\(230\) | 21.9087 | + | 0.451209i | 1.44462 | + | 0.0297519i | ||||
\(231\) | 7.34760i | 0.483436i | ||||||||
\(232\) | 19.5212 | + | 0.917143i | 1.28163 | + | 0.0602134i | ||||
\(233\) | 12.3099 | − | 12.3099i | 0.806449 | − | 0.806449i | −0.177645 | − | 0.984095i | \(-0.556848\pi\) |
0.984095 | + | 0.177645i | \(0.0568480\pi\) | |||||||
\(234\) | 1.75113 | − | 1.69716i | 0.114475 | − | 0.110947i | ||||
\(235\) | −17.3382 | − | 0.0857025i | −1.13102 | − | 0.00559061i | ||||
\(236\) | −4.57545 | − | 0.143250i | −0.297837 | − | 0.00932481i | ||||
\(237\) | −0.612440 | − | 0.612440i | −0.0397823 | − | 0.0397823i | ||||
\(238\) | 0.113519 | − | 7.25343i | 0.00735835 | − | 0.470170i | ||||
\(239\) | −12.2710 | −0.793744 | −0.396872 | − | 0.917874i | \(-0.629904\pi\) | ||||
−0.396872 | + | 0.917874i | \(0.629904\pi\) | |||||||
\(240\) | −0.681769 | + | 10.0790i | −0.0440080 | + | 0.650599i | ||||
\(241\) | −25.1592 | −1.62065 | −0.810325 | − | 0.585981i | \(-0.800709\pi\) | ||||
−0.810325 | + | 0.585981i | \(0.800709\pi\) | |||||||
\(242\) | −0.0310194 | + | 1.98202i | −0.00199400 | + | 0.127409i | ||||
\(243\) | 10.6375 | + | 10.6375i | 0.682395 | + | 0.682395i | ||||
\(244\) | 15.5277 | + | 0.486147i | 0.994056 | + | 0.0311224i | ||||
\(245\) | 5.70021 | − | 5.64413i | 0.364173 | − | 0.360591i | ||||
\(246\) | −10.2205 | + | 9.90547i | −0.651632 | + | 0.631550i | ||||
\(247\) | 1.91451 | − | 1.91451i | 0.121817 | − | 0.121817i | ||||
\(248\) | −11.7453 | − | 0.551815i | −0.745825 | − | 0.0350403i | ||||
\(249\) | − | 1.16235i | − | 0.0736608i | ||||||
\(250\) | −10.8344 | − | 11.5158i | −0.685231 | − | 0.728326i | ||||
\(251\) | − | 21.2328i | − | 1.34020i | −0.742269 | − | 0.670102i | \(-0.766250\pi\) | ||
0.742269 | − | 0.670102i | \(-0.233750\pi\) | |||||||
\(252\) | −4.36169 | − | 4.64363i | −0.274760 | − | 0.292521i | ||||
\(253\) | 17.2558 | − | 17.2558i | 1.08486 | − | 1.08486i | ||||
\(254\) | 10.1648 | + | 10.4880i | 0.637795 | + | 0.658076i | ||||
\(255\) | 4.98325 | − | 4.93423i | 0.312063 | − | 0.308993i | ||||
\(256\) | 15.8748 | + | 1.99786i | 0.992174 | + | 0.124866i | ||||
\(257\) | −1.09013 | − | 1.09013i | −0.0680006 | − | 0.0680006i | 0.672289 | − | 0.740289i | \(-0.265311\pi\) |
−0.740289 | + | 0.672289i | \(0.765311\pi\) | |||||||
\(258\) | 17.1334 | + | 0.268145i | 1.06668 | + | 0.0166940i | ||||
\(259\) | 15.9567 | 0.991500 | ||||||||
\(260\) | −4.46920 | − | 0.162040i | −0.277168 | − | 0.0100493i | ||||
\(261\) | −11.9143 | −0.737474 | ||||||||
\(262\) | 6.50485 | + | 0.101804i | 0.401871 | + | 0.00628944i | ||||
\(263\) | −12.5796 | − | 12.5796i | −0.775689 | − | 0.775689i | 0.203405 | − | 0.979095i | \(-0.434799\pi\) |
−0.979095 | + | 0.203405i | \(0.934799\pi\) | |||||||
\(264\) | 7.57282 | + | 8.31947i | 0.466075 | + | 0.512028i | ||||
\(265\) | 14.4058 | + | 0.0712077i | 0.884943 | + | 0.00437425i | ||||
\(266\) | −4.92275 | − | 5.07929i | −0.301833 | − | 0.311431i | ||||
\(267\) | 0.353338 | − | 0.353338i | 0.0216239 | − | 0.0216239i | ||||
\(268\) | −1.85240 | + | 1.73993i | −0.113153 | + | 0.106283i | ||||
\(269\) | − | 19.7683i | − | 1.20529i | −0.798008 | − | 0.602647i | \(-0.794113\pi\) | ||
0.798008 | − | 0.602647i | \(-0.205887\pi\) | |||||||
\(270\) | 0.347438 | − | 16.8700i | 0.0211444 | − | 1.02668i | ||||
\(271\) | 21.2849i | 1.29296i | 0.762929 | + | 0.646482i | \(0.223761\pi\) | ||||
−0.762929 | + | 0.646482i | \(0.776239\pi\) | |||||||
\(272\) | −7.34723 | − | 8.32984i | −0.445491 | − | 0.505071i | ||||
\(273\) | −1.47533 | + | 1.47533i | −0.0892912 | + | 0.0892912i | ||||
\(274\) | 17.0734 | − | 16.5473i | 1.03144 | − | 0.999657i | ||||
\(275\) | −17.6071 | − | 0.174068i | −1.06175 | − | 0.0104967i | ||||
\(276\) | 0.489839 | − | 15.6456i | 0.0294848 | − | 0.941752i | ||||
\(277\) | −13.0098 | − | 13.0098i | −0.781685 | − | 0.781685i | 0.198430 | − | 0.980115i | \(-0.436416\pi\) |
−0.980115 | + | 0.198430i | \(0.936416\pi\) | |||||||
\(278\) | −0.224263 | + | 14.3295i | −0.0134504 | + | 0.859426i | ||||
\(279\) | 7.16841 | 0.429161 | ||||||||
\(280\) | −0.605985 | + | 11.6677i | −0.0362145 | + | 0.697278i | ||||
\(281\) | 12.4347 | 0.741790 | 0.370895 | − | 0.928675i | \(-0.379051\pi\) | ||||
0.370895 | + | 0.928675i | \(0.379051\pi\) | |||||||
\(282\) | −0.193811 | + | 12.3837i | −0.0115413 | + | 0.737442i | ||||
\(283\) | 13.2718 | + | 13.2718i | 0.788926 | + | 0.788926i | 0.981318 | − | 0.192393i | \(-0.0616247\pi\) |
−0.192393 | + | 0.981318i | \(0.561625\pi\) | |||||||
\(284\) | −0.894843 | + | 28.5815i | −0.0530992 | + | 1.69600i | ||||
\(285\) | 0.0337991 | − | 6.83780i | 0.00200209 | − | 0.405037i | ||||
\(286\) | −3.57628 | + | 3.46606i | −0.211470 | + | 0.204953i | ||||
\(287\) | −11.6396 | + | 11.6396i | −0.687066 | + | 0.687066i | ||||
\(288\) | −9.72458 | − | 0.762462i | −0.573026 | − | 0.0449285i | ||||
\(289\) | − | 9.28949i | − | 0.546441i | ||||||
\(290\) | 15.1285 | + | 15.7647i | 0.888375 | + | 0.925737i | ||||
\(291\) | − | 8.34375i | − | 0.489119i | ||||||
\(292\) | −7.91957 | + | 7.43873i | −0.463458 | + | 0.435319i | ||||
\(293\) | −6.94563 | + | 6.94563i | −0.405768 | + | 0.405768i | −0.880260 | − | 0.474492i | \(-0.842632\pi\) |
0.474492 | + | 0.880260i | \(0.342632\pi\) | |||||||
\(294\) | −3.98792 | − | 4.11473i | −0.232580 | − | 0.239976i | ||||
\(295\) | −3.60105 | − | 3.63683i | −0.209661 | − | 0.211744i | ||||
\(296\) | 18.0673 | − | 16.4458i | 1.05014 | − | 0.955892i | ||||
\(297\) | −13.2872 | − | 13.2872i | −0.771000 | − | 0.771000i | ||||
\(298\) | 18.6248 | + | 0.291486i | 1.07891 | + | 0.0168853i | ||||
\(299\) | 6.92961 | 0.400750 | ||||||||
\(300\) | −8.30843 | + | 7.65079i | −0.479687 | + | 0.441719i | ||||
\(301\) | 19.8179 | 1.14228 | ||||||||
\(302\) | −27.7981 | − | 0.435051i | −1.59960 | − | 0.0250344i | ||||
\(303\) | −2.73277 | − | 2.73277i | −0.156994 | − | 0.156994i | ||||
\(304\) | −10.8089 | − | 0.677483i | −0.619931 | − | 0.0388563i | ||||
\(305\) | 12.2208 | + | 12.3423i | 0.699764 | + | 0.706716i | ||||
\(306\) | 4.71264 | + | 4.86249i | 0.269404 | + | 0.277970i | ||||
\(307\) | −4.02072 | + | 4.02072i | −0.229474 | + | 0.229474i | −0.812473 | − | 0.582999i | \(-0.801879\pi\) |
0.582999 | + | 0.812473i | \(0.301879\pi\) | |||||||
\(308\) | 8.90775 | + | 9.48355i | 0.507566 | + | 0.540376i | ||||
\(309\) | − | 14.5625i | − | 0.828432i | ||||||
\(310\) | −9.10231 | − | 9.48512i | −0.516976 | − | 0.538718i | ||||
\(311\) | − | 25.4676i | − | 1.44413i | −0.691823 | − | 0.722067i | \(-0.743192\pi\) | ||
0.691823 | − | 0.722067i | \(-0.256808\pi\) | |||||||
\(312\) | −0.149921 | + | 3.19103i | −0.00848760 | + | 0.180657i | ||||
\(313\) | 8.61361 | − | 8.61361i | 0.486870 | − | 0.486870i | −0.420447 | − | 0.907317i | \(-0.638127\pi\) |
0.907317 | + | 0.420447i | \(0.138127\pi\) | |||||||
\(314\) | −15.7613 | + | 15.2756i | −0.889461 | + | 0.862050i | ||||
\(315\) | 0.0352075 | − | 7.12273i | 0.00198372 | − | 0.401320i | ||||
\(316\) | −1.53296 | − | 0.0479947i | −0.0862358 | − | 0.00269991i | ||||
\(317\) | 13.0464 | + | 13.0464i | 0.732757 | + | 0.732757i | 0.971165 | − | 0.238408i | \(-0.0766257\pi\) |
−0.238408 | + | 0.971165i | \(0.576626\pi\) | |||||||
\(318\) | 0.161032 | − | 10.2893i | 0.00903021 | − | 0.576995i | ||||
\(319\) | 24.3321 | 1.36234 | ||||||||
\(320\) | 11.3392 | + | 13.8356i | 0.633881 | + | 0.773431i | ||||
\(321\) | 1.41356 | 0.0788973 | ||||||||
\(322\) | 0.283293 | − | 18.1013i | 0.0157873 | − | 1.00875i | ||||
\(323\) | 5.31616 | + | 5.31616i | 0.295799 | + | 0.295799i | ||||
\(324\) | −1.70624 | − | 0.0534199i | −0.0947913 | − | 0.00296777i | ||||
\(325\) | −3.50041 | − | 3.57031i | −0.194168 | − | 0.198045i | ||||
\(326\) | −6.10209 | + | 5.91403i | −0.337963 | + | 0.327548i | ||||
\(327\) | 0.918783 | − | 0.918783i | 0.0508088 | − | 0.0508088i | ||||
\(328\) | −1.18280 | + | 25.1756i | −0.0653092 | + | 1.39009i | ||||
\(329\) | 14.3240i | 0.789710i | ||||||||
\(330\) | −0.258985 | + | 12.5751i | −0.0142566 | + | 0.692239i | ||||
\(331\) | 22.5223i | 1.23794i | 0.785415 | + | 0.618970i | \(0.212450\pi\) | ||||
−0.785415 | + | 0.618970i | \(0.787550\pi\) | |||||||
\(332\) | −1.40916 | − | 1.50024i | −0.0773374 | − | 0.0823366i | ||||
\(333\) | −10.5321 | + | 10.5321i | −0.577154 | + | 0.577154i | ||||
\(334\) | 17.8376 | + | 18.4048i | 0.976029 | + | 1.00707i | ||||
\(335\) | −2.84134 | − | 0.0140447i | −0.155239 | − | 0.000767343i | ||||
\(336\) | 8.32940 | + | 0.522074i | 0.454406 | + | 0.0284814i | ||||
\(337\) | 18.5334 | + | 18.5334i | 1.00958 | + | 1.00958i | 0.999954 | + | 0.00962269i | \(0.00306304\pi\) |
0.00962269 | + | 0.999954i | \(0.496937\pi\) | |||||||
\(338\) | −1.41404 | − | 0.0221303i | −0.0769137 | − | 0.00120373i | ||||
\(339\) | −3.48001 | −0.189008 | ||||||||
\(340\) | 0.449950 | − | 12.4100i | 0.0244019 | − | 0.673026i | ||||
\(341\) | −14.6398 | −0.792792 | ||||||||
\(342\) | 6.60177 | + | 0.103320i | 0.356983 | + | 0.00558692i | ||||
\(343\) | −13.8298 | − | 13.8298i | −0.746739 | − | 0.746739i | ||||
\(344\) | 22.4392 | − | 20.4253i | 1.20984 | − | 1.10126i | ||||
\(345\) | 12.4360 | − | 12.3136i | 0.669531 | − | 0.662944i | ||||
\(346\) | −4.98295 | − | 5.14140i | −0.267885 | − | 0.276403i | ||||
\(347\) | −19.0075 | + | 19.0075i | −1.02038 | + | 1.02038i | −0.0205887 | + | 0.999788i | \(0.506554\pi\) |
−0.999788 | + | 0.0205887i | \(0.993446\pi\) | |||||||
\(348\) | 11.3762 | − | 10.6855i | 0.609827 | − | 0.572801i | ||||
\(349\) | 7.56368i | 0.404874i | 0.979295 | + | 0.202437i | \(0.0648862\pi\) | ||||
−0.979295 | + | 0.202437i | \(0.935114\pi\) | |||||||
\(350\) | −9.46938 | + | 8.99772i | −0.506159 | + | 0.480948i | ||||
\(351\) | − | 5.33590i | − | 0.284809i | ||||||
\(352\) | 19.8602 | + | 1.55716i | 1.05855 | + | 0.0829967i | ||||
\(353\) | −21.5167 | + | 21.5167i | −1.14522 | + | 1.14522i | −0.157740 | + | 0.987481i | \(0.550421\pi\) |
−0.987481 | + | 0.157740i | \(0.949579\pi\) | |||||||
\(354\) | −2.62526 | + | 2.54436i | −0.139531 | + | 0.135231i | ||||
\(355\) | −22.7182 | + | 22.4947i | −1.20576 | + | 1.19390i | ||||
\(356\) | 0.0276898 | − | 0.884418i | 0.00146756 | − | 0.0468740i | ||||
\(357\) | −4.09668 | − | 4.09668i | −0.216819 | − | 0.216819i | ||||
\(358\) | −0.0582123 | + | 3.71954i | −0.00307661 | + | 0.196584i | ||||
\(359\) | −25.3560 | −1.33824 | −0.669120 | − | 0.743155i | \(-0.733329\pi\) | ||||
−0.669120 | + | 0.743155i | \(0.733329\pi\) | |||||||
\(360\) | −7.30119 | − | 8.10114i | −0.384807 | − | 0.426968i | ||||
\(361\) | −11.6693 | −0.614175 | ||||||||
\(362\) | 0.409063 | − | 26.1375i | 0.0214999 | − | 1.37376i | ||||
\(363\) | 1.11943 | + | 1.11943i | 0.0587547 | + | 0.0587547i | ||||
\(364\) | −0.115616 | + | 3.69281i | −0.00605995 | + | 0.193556i | ||||
\(365\) | −12.1476 | − | 0.0600453i | −0.635835 | − | 0.00314292i | ||||
\(366\) | 8.90932 | − | 8.63475i | 0.465698 | − | 0.451346i | ||||
\(367\) | −0.233912 | + | 0.233912i | −0.0122101 | + | 0.0122101i | −0.713185 | − | 0.700975i | \(-0.752748\pi\) |
0.700975 | + | 0.713185i | \(0.252748\pi\) | |||||||
\(368\) | −18.3354 | − | 20.7876i | −0.955800 | − | 1.08363i | ||||
\(369\) | − | 15.3653i | − | 0.799885i | ||||||
\(370\) | 27.3093 | + | 0.562434i | 1.41974 | + | 0.0292396i | ||||
\(371\) | − | 11.9014i | − | 0.617891i | ||||||
\(372\) | −6.84466 | + | 6.42908i | −0.354879 | + | 0.333332i | ||||
\(373\) | −13.6778 | + | 13.6778i | −0.708208 | + | 0.708208i | −0.966158 | − | 0.257950i | \(-0.916953\pi\) |
0.257950 | + | 0.966158i | \(0.416953\pi\) | |||||||
\(374\) | −9.62449 | − | 9.93053i | −0.497671 | − | 0.513496i | ||||
\(375\) | −12.6262 | − | 0.187245i | −0.652014 | − | 0.00966929i | ||||
\(376\) | 14.7631 | + | 16.2187i | 0.761349 | + | 0.836415i | ||||
\(377\) | 4.88568 | + | 4.88568i | 0.251625 | + | 0.251625i | ||||
\(378\) | −13.9383 | − | 0.218140i | −0.716908 | − | 0.0112199i | ||||
\(379\) | 27.2977 | 1.40219 | 0.701093 | − | 0.713070i | \(-0.252696\pi\) | ||||
0.701093 | + | 0.713070i | \(0.252696\pi\) | |||||||
\(380\) | −8.24609 | − | 8.86654i | −0.423015 | − | 0.454844i | ||||
\(381\) | 11.6645 | 0.597591 | ||||||||
\(382\) | −32.9451 | − | 0.515604i | −1.68562 | − | 0.0263806i | ||||
\(383\) | 10.7069 | + | 10.7069i | 0.547095 | + | 0.547095i | 0.925599 | − | 0.378505i | \(-0.123562\pi\) |
−0.378505 | + | 0.925599i | \(0.623562\pi\) | |||||||
\(384\) | 9.96921 | − | 7.99359i | 0.508739 | − | 0.407921i | ||||
\(385\) | −0.0719032 | + | 14.5465i | −0.00366453 | + | 0.741361i | ||||
\(386\) | −3.72277 | − | 3.84115i | −0.189484 | − | 0.195509i | ||||
\(387\) | −13.0806 | + | 13.0806i | −0.664926 | + | 0.664926i | ||||
\(388\) | −10.1154 | − | 10.7693i | −0.513533 | − | 0.546728i | ||||
\(389\) | − | 1.85990i | − | 0.0943006i | −0.998888 | − | 0.0471503i | \(-0.984986\pi\) | ||
0.998888 | − | 0.0471503i | \(-0.0150140\pi\) | |||||||
\(390\) | −2.57698 | + | 2.47298i | −0.130491 | + | 0.125224i | ||||
\(391\) | 19.2420i | 0.973110i | ||||||||
\(392\) | −10.1356 | − | 0.476191i | −0.511927 | − | 0.0240513i | ||||
\(393\) | 3.67388 | − | 3.67388i | 0.185323 | − | 0.185323i | ||||
\(394\) | −18.2567 | + | 17.6941i | −0.919759 | + | 0.891414i | ||||
\(395\) | −1.20650 | − | 1.21848i | −0.0607055 | − | 0.0613086i | ||||
\(396\) | −12.1390 | − | 0.380054i | −0.610009 | − | 0.0190985i | ||||
\(397\) | 1.54829 | + | 1.54829i | 0.0777066 | + | 0.0777066i | 0.744892 | − | 0.667185i | \(-0.232501\pi\) |
−0.667185 | + | 0.744892i | \(0.732501\pi\) | |||||||
\(398\) | −0.169337 | + | 10.8199i | −0.00848807 | + | 0.542355i | ||||
\(399\) | −5.64907 | −0.282807 | ||||||||
\(400\) | −1.44838 | + | 19.9475i | −0.0724189 | + | 0.997374i | ||||
\(401\) | −25.1569 | −1.25628 | −0.628139 | − | 0.778101i | \(-0.716183\pi\) | ||||
−0.628139 | + | 0.778101i | \(0.716183\pi\) | |||||||
\(402\) | −0.0317612 | + | 2.02941i | −0.00158410 | + | 0.101218i | ||||
\(403\) | −2.93955 | − | 2.93955i | −0.146430 | − | 0.146430i | ||||
\(404\) | −6.84023 | − | 0.214157i | −0.340314 | − | 0.0106547i | ||||
\(405\) | −1.34288 | − | 1.35622i | −0.0667281 | − | 0.0673911i | ||||
\(406\) | 12.9620 | − | 12.5625i | 0.643292 | − | 0.623467i | ||||
\(407\) | 21.5094 | − | 21.5094i | 1.06618 | − | 1.06618i | ||||
\(408\) | −8.86079 | − | 0.416297i | −0.438675 | − | 0.0206098i | ||||
\(409\) | − | 17.0509i | − | 0.843112i | −0.906802 | − | 0.421556i | \(-0.861484\pi\) | ||
0.906802 | − | 0.421556i | \(-0.138516\pi\) | |||||||
\(410\) | −20.3311 | + | 19.5105i | −1.00408 | + | 0.963557i | ||||
\(411\) | − | 18.9887i | − | 0.936644i | ||||||
\(412\) | −17.6546 | − | 18.7958i | −0.869782 | − | 0.926005i | ||||
\(413\) | −2.98980 | + | 2.98980i | −0.147118 | + | 0.147118i | ||||
\(414\) | 11.7607 | + | 12.1346i | 0.578005 | + | 0.596384i | ||||
\(415\) | 0.0113747 | − | 2.30118i | 0.000558361 | − | 0.112961i | ||||
\(416\) | 3.67510 | + | 4.30042i | 0.180187 | + | 0.210846i | ||||
\(417\) | 8.09318 | + | 8.09318i | 0.396325 | + | 0.396325i | ||||
\(418\) | −13.4826 | − | 0.211008i | −0.659456 | − | 0.0103208i | ||||
\(419\) | −33.8791 | −1.65510 | −0.827551 | − | 0.561391i | \(-0.810266\pi\) | ||||
−0.827551 | + | 0.561391i | \(0.810266\pi\) | |||||||
\(420\) | 6.35450 | + | 6.83262i | 0.310068 | + | 0.333398i | ||||
\(421\) | −25.0338 | −1.22007 | −0.610036 | − | 0.792374i | \(-0.708845\pi\) | ||||
−0.610036 | + | 0.792374i | \(0.708845\pi\) | |||||||
\(422\) | −0.985374 | − | 0.0154215i | −0.0479672 | − | 0.000750707i | ||||
\(423\) | −9.45446 | − | 9.45446i | −0.459692 | − | 0.459692i | ||||
\(424\) | −12.2662 | − | 13.4756i | −0.595701 | − | 0.654434i | ||||
\(425\) | 9.91397 | − | 9.71987i | 0.480898 | − | 0.471483i | ||||
\(426\) | 15.8938 | + | 16.3992i | 0.770059 | + | 0.794546i | ||||
\(427\) | 10.1464 | − | 10.1464i | 0.491021 | − | 0.491021i | ||||
\(428\) | 1.82449 | − | 1.71371i | 0.0881898 | − | 0.0828353i | ||||
\(429\) | 3.97745i | 0.192033i | ||||||||
\(430\) | 33.9176 | + | 0.698532i | 1.63565 | + | 0.0336862i | ||||
\(431\) | 15.0689i | 0.725844i | 0.931820 | + | 0.362922i | \(0.118221\pi\) | ||||
−0.931820 | + | 0.362922i | \(0.881779\pi\) | |||||||
\(432\) | −16.0067 | + | 14.1185i | −0.770125 | + | 0.679278i | ||||
\(433\) | −5.58575 | + | 5.58575i | −0.268434 | + | 0.268434i | −0.828469 | − | 0.560035i | \(-0.810788\pi\) |
0.560035 | + | 0.828469i | \(0.310788\pi\) | |||||||
\(434\) | −7.79879 | + | 7.55845i | −0.374354 | + | 0.362817i | ||||
\(435\) | 17.4496 | + | 0.0862528i | 0.836643 | + | 0.00413551i | ||||
\(436\) | 0.0720016 | − | 2.29975i | 0.00344825 | − | 0.110138i | ||||
\(437\) | 13.2668 | + | 13.2668i | 0.634637 | + | 0.634637i | ||||
\(438\) | −0.135789 | + | 8.67637i | −0.00648823 | + | 0.414573i | ||||
\(439\) | 29.6737 | 1.41625 | 0.708124 | − | 0.706088i | \(-0.249542\pi\) | ||||
0.708124 | + | 0.706088i | \(0.249542\pi\) | |||||||
\(440\) | 14.9110 | + | 16.5447i | 0.710855 | + | 0.788739i | ||||
\(441\) | 6.18602 | 0.294572 | ||||||||
\(442\) | 0.0614510 | − | 3.92648i | 0.00292293 | − | 0.186764i | ||||
\(443\) | 1.89262 | + | 1.89262i | 0.0899213 | + | 0.0899213i | 0.750637 | − | 0.660715i | \(-0.229747\pi\) |
−0.660715 | + | 0.750637i | \(0.729747\pi\) | |||||||
\(444\) | 0.610586 | − | 19.5022i | 0.0289771 | − | 0.925536i | ||||
\(445\) | 0.702985 | − | 0.696070i | 0.0333247 | − | 0.0329969i | ||||
\(446\) | −11.6496 | + | 11.2906i | −0.551623 | + | 0.534623i | ||||
\(447\) | 10.5191 | − | 10.5191i | 0.497538 | − | 0.497538i | ||||
\(448\) | 11.3837 | − | 9.42418i | 0.537829 | − | 0.445251i | ||||
\(449\) | − | 12.5398i | − | 0.591791i | −0.955220 | − | 0.295895i | \(-0.904382\pi\) | ||
0.955220 | − | 0.295895i | \(-0.0956180\pi\) | |||||||
\(450\) | 0.311315 | − | 12.1891i | 0.0146755 | − | 0.574597i | ||||
\(451\) | 31.3801i | 1.47763i | ||||||||
\(452\) | −4.49166 | + | 4.21894i | −0.211270 | + | 0.198442i | ||||
\(453\) | −15.7001 | + | 15.7001i | −0.737655 | + | 0.737655i | ||||
\(454\) | −22.7482 | − | 23.4715i | −1.06763 | − | 1.10157i | ||||
\(455\) | −2.93526 | + | 2.90638i | −0.137607 | + | 0.136253i | ||||
\(456\) | −6.39628 | + | 5.82223i | −0.299533 | + | 0.272651i | ||||
\(457\) | 12.2710 | + | 12.2710i | 0.574015 | + | 0.574015i | 0.933248 | − | 0.359233i | \(-0.116962\pi\) |
−0.359233 | + | 0.933248i | \(0.616962\pi\) | |||||||
\(458\) | 32.5651 | + | 0.509657i | 1.52167 | + | 0.0238147i | ||||
\(459\) | 14.8166 | 0.691580 | ||||||||
\(460\) | 1.12287 | − | 30.9698i | 0.0523543 | − | 1.44398i | ||||
\(461\) | 6.10051 | 0.284129 | 0.142065 | − | 0.989857i | \(-0.454626\pi\) | ||||
0.142065 | + | 0.989857i | \(0.454626\pi\) | |||||||
\(462\) | 10.3898 | + | 0.162605i | 0.483377 | + | 0.00756505i | ||||
\(463\) | 23.1386 | + | 23.1386i | 1.07534 | + | 1.07534i | 0.996920 | + | 0.0784197i | \(0.0249874\pi\) |
0.0784197 | + | 0.996920i | \(0.475013\pi\) | |||||||
\(464\) | 1.72889 | − | 27.5835i | 0.0802616 | − | 1.28053i | ||||
\(465\) | −10.4988 | − | 0.0518955i | −0.486872 | − | 0.00240659i | ||||
\(466\) | −17.1343 | − | 17.6791i | −0.793731 | − | 0.818970i | ||||
\(467\) | 12.2124 | − | 12.2124i | 0.565122 | − | 0.565122i | −0.365636 | − | 0.930758i | \(-0.619149\pi\) |
0.930758 | + | 0.365636i | \(0.119149\pi\) | |||||||
\(468\) | −2.36110 | − | 2.51372i | −0.109142 | − | 0.116197i | ||||
\(469\) | 2.34738i | 0.108392i | ||||||||
\(470\) | −0.504887 | + | 24.5151i | −0.0232887 | + | 1.13080i | ||||
\(471\) | 17.5294i | 0.807710i | ||||||||
\(472\) | −0.303818 | + | 6.46670i | −0.0139844 | + | 0.297654i | ||||
\(473\) | 26.7142 | − | 26.7142i | 1.22832 | − | 1.22832i | ||||
\(474\) | −0.879569 | + | 0.852462i | −0.0403999 | + | 0.0391549i | ||||
\(475\) | 0.133829 | − | 13.5369i | 0.00614049 | − | 0.621118i | ||||
\(476\) | −10.2541 | − | 0.321041i | −0.469997 | − | 0.0147149i | ||||
\(477\) | 7.85543 | + | 7.85543i | 0.359676 | + | 0.359676i | ||||
\(478\) | −0.271561 | + | 17.3517i | −0.0124209 | + | 0.793646i | ||||
\(479\) | −21.9564 | −1.00321 | −0.501607 | − | 0.865096i | \(-0.667258\pi\) | ||||
−0.501607 | + | 0.865096i | \(0.667258\pi\) | |||||||
\(480\) | 14.2371 | + | 1.18710i | 0.649830 | + | 0.0541835i | ||||
\(481\) | 8.63779 | 0.393849 | ||||||||
\(482\) | −0.556782 | + | 35.5762i | −0.0253607 | + | 1.62045i | ||||
\(483\) | −10.2235 | − | 10.2235i | −0.465185 | − | 0.465185i | ||||
\(484\) | 2.80197 | + | 0.0877254i | 0.127362 | + | 0.00398752i | ||||
\(485\) | 0.0816515 | − | 16.5187i | 0.00370760 | − | 0.750076i | ||||
\(486\) | 15.2772 | − | 14.8064i | 0.692989 | − | 0.671633i | ||||
\(487\) | 19.5227 | − | 19.5227i | 0.884659 | − | 0.884659i | −0.109345 | − | 0.994004i | \(-0.534875\pi\) |
0.994004 | + | 0.109345i | \(0.0348753\pi\) | |||||||
\(488\) | 1.03106 | − | 21.9460i | 0.0466741 | − | 0.993448i | ||||
\(489\) | 6.78660i | 0.306901i | ||||||||
\(490\) | −7.85489 | − | 8.18523i | −0.354848 | − | 0.369771i | ||||
\(491\) | 5.37843i | 0.242725i | 0.992608 | + | 0.121363i | \(0.0387264\pi\) | ||||
−0.992608 | + | 0.121363i | \(0.961274\pi\) | |||||||
\(492\) | 13.7806 | + | 14.6713i | 0.621276 | + | 0.661435i | ||||
\(493\) | −13.5665 | + | 13.5665i | −0.611003 | + | 0.611003i | ||||
\(494\) | −2.66482 | − | 2.74956i | −0.119896 | − | 0.123708i | ||||
\(495\) | −9.55387 | − | 9.64879i | −0.429414 | − | 0.433681i | ||||
\(496\) | −1.04021 | + | 16.5961i | −0.0467070 | + | 0.745185i | ||||
\(497\) | 18.6764 | + | 18.6764i | 0.837750 | + | 0.837750i | ||||
\(498\) | −1.64361 | − | 0.0257231i | −0.0736518 | − | 0.00115268i | ||||
\(499\) | 25.0685 | 1.12222 | 0.561111 | − | 0.827740i | \(-0.310374\pi\) | ||||
0.561111 | + | 0.827740i | \(0.310374\pi\) | |||||||
\(500\) | −16.5236 | + | 15.0655i | −0.738960 | + | 0.673749i | ||||
\(501\) | 20.4694 | 0.914505 | ||||||||
\(502\) | −30.0241 | − | 0.469889i | −1.34004 | − | 0.0209722i | ||||
\(503\) | 16.4098 | + | 16.4098i | 0.731676 | + | 0.731676i | 0.970952 | − | 0.239276i | \(-0.0769099\pi\) |
−0.239276 | + | 0.970952i | \(0.576910\pi\) | |||||||
\(504\) | −6.66280 | + | 6.06483i | −0.296785 | + | 0.270149i | ||||
\(505\) | −5.38351 | − | 5.43700i | −0.239563 | − | 0.241943i | ||||
\(506\) | −24.0185 | − | 24.7822i | −1.06775 | − | 1.10170i | ||||
\(507\) | −0.798638 | + | 0.798638i | −0.0354688 | + | 0.0354688i | ||||
\(508\) | 15.0554 | − | 14.1413i | 0.667976 | − | 0.627419i | ||||
\(509\) | − | 14.9919i | − | 0.664503i | −0.943191 | − | 0.332252i | \(-0.892192\pi\) | ||
0.943191 | − | 0.332252i | \(-0.107808\pi\) | |||||||
\(510\) | −6.86692 | − | 7.15571i | −0.304072 | − | 0.316860i | ||||
\(511\) | 10.0358i | 0.443957i | ||||||||
\(512\) | 3.17637 | − | 22.4034i | 0.140377 | − | 0.990098i | ||||
\(513\) | 10.2156 | − | 10.2156i | 0.451030 | − | 0.451030i | ||||
\(514\) | −1.56562 | + | 1.51737i | −0.0690564 | + | 0.0669282i | ||||
\(515\) | 0.142508 | − | 28.8304i | 0.00627965 | − | 1.27042i | ||||
\(516\) | 0.758335 | − | 24.2214i | 0.0333839 | − | 1.06629i | ||||
\(517\) | 19.3086 | + | 19.3086i | 0.849190 | + | 0.849190i | ||||
\(518\) | 0.353126 | − | 22.5634i | 0.0155155 | − | 0.991378i | ||||
\(519\) | −5.71814 | −0.250999 | ||||||||
\(520\) | −0.328036 | + | 6.31604i | −0.0143853 | + | 0.276977i | ||||
\(521\) | 13.2279 | 0.579524 | 0.289762 | − | 0.957099i | \(-0.406424\pi\) | ||||
0.289762 | + | 0.957099i | \(0.406424\pi\) | |||||||
\(522\) | −0.263666 | + | 16.8472i | −0.0115404 | + | 0.737383i | ||||
\(523\) | 13.5227 | + | 13.5227i | 0.591304 | + | 0.591304i | 0.937984 | − | 0.346679i | \(-0.112691\pi\) |
−0.346679 | + | 0.937984i | \(0.612691\pi\) | |||||||
\(524\) | 0.287909 | − | 9.19586i | 0.0125773 | − | 0.401723i | ||||
\(525\) | −0.103130 | + | 10.4317i | −0.00450094 | + | 0.455276i | ||||
\(526\) | −18.0664 | + | 17.5096i | −0.787733 | + | 0.763456i | ||||
\(527\) | 8.16249 | − | 8.16249i | 0.355564 | − | 0.355564i | ||||
\(528\) | 11.9317 | − | 10.5242i | 0.519259 | − | 0.458005i | ||||
\(529\) | 25.0195i | 1.08781i | ||||||||
\(530\) | 0.419496 | − | 20.3689i | 0.0182217 | − | 0.884767i | ||||
\(531\) | − | 3.94678i | − | 0.171276i | ||||||
\(532\) | −7.29126 | + | 6.84857i | −0.316116 | + | 0.296923i | ||||
\(533\) | −6.30085 | + | 6.30085i | −0.272920 | + | 0.272920i | ||||
\(534\) | −0.491815 | − | 0.507454i | −0.0212829 | − | 0.0219597i | ||||
\(535\) | 2.79853 | + | 0.0138330i | 0.120991 | + | 0.000598055i | ||||
\(536\) | 2.41934 | + | 2.65787i | 0.104499 | + | 0.114803i | ||||
\(537\) | 2.10076 | + | 2.10076i | 0.0906546 | + | 0.0906546i | ||||
\(538\) | −27.9532 | − | 0.437479i | −1.20515 | − | 0.0188610i | ||||
\(539\) | −12.6335 | −0.544165 | ||||||||
\(540\) | −23.8472 | − | 0.864629i | −1.02622 | − | 0.0372077i | ||||
\(541\) | 18.3005 | 0.786799 | 0.393400 | − | 0.919368i | \(-0.371299\pi\) | ||||
0.393400 | + | 0.919368i | \(0.371299\pi\) | |||||||
\(542\) | 30.0977 | + | 0.471041i | 1.29281 | + | 0.0202330i | ||||
\(543\) | −14.7623 | − | 14.7623i | −0.633509 | − | 0.633509i | ||||
\(544\) | −11.9413 | + | 10.2049i | −0.511980 | + | 0.437533i | ||||
\(545\) | 1.82797 | − | 1.80999i | 0.0783016 | − | 0.0775313i | ||||
\(546\) | 2.05353 | + | 2.11883i | 0.0878830 | + | 0.0906776i | ||||
\(547\) | 23.1342 | − | 23.1342i | 0.989147 | − | 0.989147i | −0.0107946 | − | 0.999942i | \(-0.503436\pi\) |
0.999942 | + | 0.0107946i | \(0.00343608\pi\) | |||||||
\(548\) | −23.0207 | − | 24.5087i | −0.983394 | − | 1.04696i | ||||
\(549\) | 13.3941i | 0.571648i | ||||||||
\(550\) | −0.635790 | + | 24.8934i | −0.0271102 | + | 1.06146i | ||||
\(551\) | 18.7073i | 0.796960i | ||||||||
\(552\) | −22.1126 | − | 1.03889i | −0.941176 | − | 0.0442182i | ||||
\(553\) | −1.00170 | + | 1.00170i | −0.0425967 | + | 0.0425967i | ||||
\(554\) | −18.6844 | + | 18.1085i | −0.793822 | + | 0.769358i | ||||
\(555\) | 15.5015 | − | 15.3490i | 0.658002 | − | 0.651529i | ||||
\(556\) | 20.2575 | + | 0.634233i | 0.859111 | + | 0.0268975i | ||||
\(557\) | −12.7940 | − | 12.7940i | −0.542100 | − | 0.542100i | 0.382044 | − | 0.924144i | \(-0.375220\pi\) |
−0.924144 | + | 0.382044i | \(0.875220\pi\) | |||||||
\(558\) | 0.158639 | − | 10.1364i | 0.00671573 | − | 0.429109i | ||||
\(559\) | 10.7280 | 0.453744 | ||||||||
\(560\) | 16.4852 | + | 1.11510i | 0.696626 | + | 0.0471214i | ||||
\(561\) | −11.0445 | −0.466300 | ||||||||
\(562\) | 0.275183 | − | 17.5831i | 0.0116079 | − | 0.741699i | ||||
\(563\) | 25.0765 | + | 25.0765i | 1.05685 | + | 1.05685i | 0.998284 | + | 0.0585642i | \(0.0186522\pi\) |
0.0585642 | + | 0.998284i | \(0.481348\pi\) | |||||||
\(564\) | 17.5068 | + | 0.548112i | 0.737171 | + | 0.0230797i | ||||
\(565\) | −6.88962 | − | 0.0340552i | −0.289849 | − | 0.00143271i | ||||
\(566\) | 19.0605 | − | 18.4731i | 0.801174 | − | 0.776483i | ||||
\(567\) | −1.11493 | + | 1.11493i | −0.0468228 | + | 0.0468228i | ||||
\(568\) | 40.3956 | + | 1.89786i | 1.69496 | + | 0.0796325i | ||||
\(569\) | − | 3.78598i | − | 0.158716i | −0.996846 | − | 0.0793582i | \(-0.974713\pi\) | ||
0.996846 | − | 0.0793582i | \(-0.0252871\pi\) | |||||||
\(570\) | −9.66818 | − | 0.199116i | −0.404956 | − | 0.00834005i | ||||
\(571\) | − | 25.5130i | − | 1.06769i | −0.845583 | − | 0.533843i | \(-0.820747\pi\) | ||
0.845583 | − | 0.533843i | \(-0.179253\pi\) | |||||||
\(572\) | 4.82201 | + | 5.13371i | 0.201618 | + | 0.214651i | ||||
\(573\) | −18.6071 | + | 18.6071i | −0.777324 | + | 0.777324i | ||||
\(574\) | 16.2013 | + | 16.7165i | 0.676230 | + | 0.697733i | ||||
\(575\) | 24.7409 | − | 24.2565i | 1.03177 | − | 1.01157i | ||||
\(576\) | −1.29336 | + | 13.7341i | −0.0538900 | + | 0.572253i | ||||
\(577\) | 4.42706 | + | 4.42706i | 0.184301 | + | 0.184301i | 0.793227 | − | 0.608926i | \(-0.208399\pi\) |
−0.608926 | + | 0.793227i | \(0.708399\pi\) | |||||||
\(578\) | −13.1357 | − | 0.205579i | −0.546374 | − | 0.00855098i | ||||
\(579\) | −4.27204 | −0.177540 | ||||||||
\(580\) | 22.6268 | − | 21.0434i | 0.939525 | − | 0.873780i | ||||
\(581\) | −1.90113 | −0.0788721 | ||||||||
\(582\) | −11.7984 | − | 0.184650i | −0.489059 | − | 0.00765398i | ||||
\(583\) | −16.0429 | − | 16.0429i | −0.664430 | − | 0.664430i | ||||
\(584\) | 10.3434 | + | 11.3632i | 0.428013 | + | 0.470213i | ||||
\(585\) | 0.0190588 | − | 3.85573i | 0.000787983 | − | 0.159415i | ||||
\(586\) | 9.66769 | + | 9.97511i | 0.399369 | + | 0.412068i | ||||
\(587\) | 23.6571 | − | 23.6571i | 0.976431 | − | 0.976431i | −0.0232972 | − | 0.999729i | \(-0.507416\pi\) |
0.999729 | + | 0.0232972i | \(0.00741642\pi\) | |||||||
\(588\) | −5.90664 | + | 5.54801i | −0.243586 | + | 0.228796i | ||||
\(589\) | − | 11.2556i | − | 0.463778i | ||||||
\(590\) | −5.22232 | + | 5.01155i | −0.214999 | + | 0.206322i | ||||
\(591\) | 20.3047i | 0.835223i | ||||||||
\(592\) | −22.8552 | − | 25.9118i | −0.939342 | − | 1.06497i | ||||
\(593\) | −9.21789 | + | 9.21789i | −0.378534 | + | 0.378534i | −0.870573 | − | 0.492039i | \(-0.836252\pi\) |
0.492039 | + | 0.870573i | \(0.336252\pi\) | |||||||
\(594\) | −19.0826 | + | 18.4946i | −0.782971 | + | 0.758841i | ||||
\(595\) | −8.07038 | − | 8.15056i | −0.330853 | − | 0.334141i | ||||
\(596\) | 0.824345 | − | 26.3298i | 0.0337665 | − | 1.07851i | ||||
\(597\) | 6.11101 | + | 6.11101i | 0.250107 | + | 0.250107i | ||||
\(598\) | 0.153354 | − | 9.79875i | 0.00627113 | − | 0.400701i | ||||
\(599\) | 2.77755 | 0.113488 | 0.0567438 | − | 0.998389i | \(-0.481928\pi\) | ||||
0.0567438 | + | 0.998389i | \(0.481928\pi\) | |||||||
\(600\) | 10.6347 | + | 11.9178i | 0.434158 | + | 0.486541i | ||||
\(601\) | −40.0680 | −1.63441 | −0.817205 | − | 0.576348i | \(-0.804477\pi\) | ||||
−0.817205 | + | 0.576348i | \(0.804477\pi\) | |||||||
\(602\) | 0.438576 | − | 28.0233i | 0.0178750 | − | 1.14214i | ||||
\(603\) | −1.54937 | − | 1.54937i | −0.0630953 | − | 0.0630953i | ||||
\(604\) | −1.23036 | + | 39.2979i | −0.0500626 | + | 1.59901i | ||||
\(605\) | 2.20525 | + | 2.22716i | 0.0896563 | + | 0.0905471i | ||||
\(606\) | −3.92473 | + | 3.80377i | −0.159431 | + | 0.154518i | ||||
\(607\) | −15.4132 | + | 15.4132i | −0.625602 | + | 0.625602i | −0.946958 | − | 0.321356i | \(-0.895861\pi\) |
0.321356 | + | 0.946958i | \(0.395861\pi\) | |||||||
\(608\) | −1.19719 | + | 15.2692i | −0.0485526 | + | 0.619248i | ||||
\(609\) | − | 14.4160i | − | 0.584167i | ||||||
\(610\) | 17.7229 | − | 17.0076i | 0.717580 | − | 0.688619i | ||||
\(611\) | 7.75399i | 0.313693i | ||||||||
\(612\) | 6.98005 | − | 6.55625i | 0.282152 | − | 0.265021i | ||||
\(613\) | 24.1149 | − | 24.1149i | 0.973991 | − | 0.973991i | −0.0256796 | − | 0.999670i | \(-0.508175\pi\) |
0.999670 | + | 0.0256796i | \(0.00817496\pi\) | |||||||
\(614\) | 5.59647 | + | 5.77443i | 0.225855 | + | 0.233037i | ||||
\(615\) | −0.111236 | + | 22.5040i | −0.00448549 | + | 0.907447i | ||||
\(616\) | 13.6073 | − | 12.3860i | 0.548252 | − | 0.499048i | ||||
\(617\) | −9.31246 | − | 9.31246i | −0.374905 | − | 0.374905i | 0.494355 | − | 0.869260i | \(-0.335404\pi\) |
−0.869260 | + | 0.494355i | \(0.835404\pi\) | |||||||
\(618\) | −20.5920 | − | 0.322273i | −0.828331 | − | 0.0129637i | ||||
\(619\) | −20.6325 | −0.829290 | −0.414645 | − | 0.909983i | \(-0.636094\pi\) | ||||
−0.414645 | + | 0.909983i | \(0.636094\pi\) | |||||||
\(620\) | −13.6138 | + | 12.6611i | −0.546742 | + | 0.508483i | ||||
\(621\) | 36.9757 | 1.48378 | ||||||||
\(622\) | −36.0122 | − | 0.563605i | −1.44396 | − | 0.0225985i | ||||
\(623\) | −0.577917 | − | 0.577917i | −0.0231537 | − | 0.0231537i | ||||
\(624\) | 4.50893 | + | 0.282613i | 0.180502 | + | 0.0113136i | ||||
\(625\) | −24.9951 | − | 0.494261i | −0.999805 | − | 0.0197705i | ||||
\(626\) | −11.9894 | − | 12.3706i | −0.479192 | − | 0.494429i | ||||
\(627\) | −7.61486 | + | 7.61486i | −0.304108 | + | 0.304108i | ||||
\(628\) | 21.2515 | + | 22.6252i | 0.848025 | + | 0.902842i | ||||
\(629\) | 23.9852i | 0.956354i | ||||||||
\(630\) | −10.0710 | − | 0.207413i | −0.401240 | − | 0.00826353i | ||||
\(631\) | − | 0.761372i | − | 0.0303098i | −0.999885 | − | 0.0151549i | \(-0.995176\pi\) | ||
0.999885 | − | 0.0151549i | \(-0.00482413\pi\) | |||||||
\(632\) | −0.101791 | + | 2.16661i | −0.00404904 | + | 0.0861830i | ||||
\(633\) | −0.556531 | + | 0.556531i | −0.0221201 | + | 0.0221201i | ||||
\(634\) | 18.7368 | − | 18.1594i | 0.744133 | − | 0.721200i | ||||
\(635\) | 23.0931 | + | 0.114148i | 0.916420 | + | 0.00452984i | ||||
\(636\) | −14.5459 | − | 0.455410i | −0.576783 | − | 0.0180582i | ||||
\(637\) | −2.53670 | − | 2.53670i | −0.100508 | − | 0.100508i | ||||
\(638\) | 0.538478 | − | 34.4066i | 0.0213185 | − | 1.36217i | ||||
\(639\) | −24.6544 | −0.975313 | ||||||||
\(640\) | 19.8150 | − | 15.7279i | 0.783255 | − | 0.621700i | ||||
\(641\) | −46.1859 | −1.82423 | −0.912117 | − | 0.409930i | \(-0.865553\pi\) | ||||
−0.912117 | + | 0.409930i | \(0.865553\pi\) | |||||||
\(642\) | 0.0312825 | − | 1.99883i | 0.00123462 | − | 0.0788876i | ||||
\(643\) | −24.2799 | − | 24.2799i | −0.957507 | − | 0.957507i | 0.0416264 | − | 0.999133i | \(-0.486746\pi\) |
−0.999133 | + | 0.0416264i | \(0.986746\pi\) | |||||||
\(644\) | −25.5898 | − | 0.801177i | −1.00838 | − | 0.0315708i | ||||
\(645\) | 19.2525 | − | 19.0632i | 0.758068 | − | 0.750611i | ||||
\(646\) | 7.63492 | − | 7.39962i | 0.300392 | − | 0.291134i | ||||
\(647\) | −0.561905 | + | 0.561905i | −0.0220907 | + | 0.0220907i | −0.718066 | − | 0.695975i | \(-0.754972\pi\) |
0.695975 | + | 0.718066i | \(0.254972\pi\) | |||||||
\(648\) | −0.113298 | + | 2.41152i | −0.00445075 | + | 0.0947333i | ||||
\(649\) | 8.06040i | 0.316399i | ||||||||
\(650\) | −5.12603 | + | 4.87071i | −0.201059 | + | 0.191045i | ||||
\(651\) | 8.67364i | 0.339947i | ||||||||
\(652\) | 8.22764 | + | 8.75948i | 0.322219 | + | 0.343048i | ||||
\(653\) | 9.91131 | − | 9.91131i | 0.387860 | − | 0.387860i | −0.486064 | − | 0.873923i | \(-0.661568\pi\) |
0.873923 | + | 0.486064i | \(0.161568\pi\) | |||||||
\(654\) | −1.27886 | − | 1.31953i | −0.0500075 | − | 0.0515977i | ||||
\(655\) | 7.30940 | − | 7.23749i | 0.285602 | − | 0.282792i | ||||
\(656\) | 35.5732 | + | 2.22967i | 1.38890 | + | 0.0870540i | ||||
\(657\) | −6.62403 | − | 6.62403i | −0.258428 | − | 0.258428i | ||||
\(658\) | 20.2548 | + | 0.316995i | 0.789613 | + | 0.0123578i | ||||
\(659\) | −30.2716 | −1.17922 | −0.589608 | − | 0.807690i | \(-0.700718\pi\) | ||||
−0.589608 | + | 0.807690i | \(0.700718\pi\) | |||||||
\(660\) | 17.7760 | + | 0.644507i | 0.691931 | + | 0.0250874i | ||||
\(661\) | 1.99460 | 0.0775808 | 0.0387904 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387904 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(662\) | 31.8475 | + | 0.498426i | 1.23779 | + | 0.0193719i | ||||
\(663\) | −2.21764 | − | 2.21764i | −0.0861261 | − | 0.0861261i | ||||
\(664\) | −2.15259 | + | 1.95940i | −0.0835367 | + | 0.0760395i | ||||
\(665\) | −11.1839 | − | 0.0552815i | −0.433691 | − | 0.00214373i | ||||
\(666\) | 14.6597 | + | 15.1259i | 0.568052 | + | 0.586115i | ||||
\(667\) | −33.8559 | + | 33.8559i | −1.31091 | + | 1.31091i | ||||
\(668\) | 26.4199 | − | 24.8158i | 1.02222 | − | 0.960150i | ||||
\(669\) | 12.9564i | 0.500923i | ||||||||
\(670\) | −0.0827396 | + | 4.01746i | −0.00319651 | + | 0.155208i | ||||
\(671\) | − | 27.3545i | − | 1.05601i | ||||||
\(672\) | 0.922565 | − | 11.7666i | 0.0355887 | − | 0.453905i | ||||
\(673\) | −4.18463 | + | 4.18463i | −0.161306 | + | 0.161306i | −0.783145 | − | 0.621839i | \(-0.786386\pi\) |
0.621839 | + | 0.783145i | \(0.286386\pi\) | |||||||
\(674\) | 26.6171 | − | 25.7968i | 1.02525 | − | 0.993654i | ||||
\(675\) | −18.6778 | − | 19.0508i | −0.718910 | − | 0.733266i | ||||
\(676\) | −0.0625863 | + | 1.99902i | −0.00240717 | + | 0.0768854i | ||||
\(677\) | −21.7743 | − | 21.7743i | −0.836853 | − | 0.836853i | 0.151590 | − | 0.988443i | \(-0.451561\pi\) |
−0.988443 | + | 0.151590i | \(0.951561\pi\) | |||||||
\(678\) | −0.0770138 | + | 4.92088i | −0.00295770 | + | 0.188985i | ||||
\(679\) | −13.6470 | −0.523723 | ||||||||
\(680\) | −17.5383 | − | 0.910884i | −0.672562 | − | 0.0349308i | ||||
\(681\) | −26.1045 | −1.00033 | ||||||||
\(682\) | −0.323984 | + | 20.7013i | −0.0124060 | + | 0.792695i | ||||
\(683\) | −23.8214 | − | 23.8214i | −0.911500 | − | 0.911500i | 0.0848900 | − | 0.996390i | \(-0.472946\pi\) |
−0.996390 | + | 0.0848900i | \(0.972946\pi\) | |||||||
\(684\) | 0.292198 | − | 9.33288i | 0.0111725 | − | 0.356852i | ||||
\(685\) | 0.185823 | − | 37.5933i | 0.00709991 | − | 1.43636i | ||||
\(686\) | −19.8620 | + | 19.2498i | −0.758333 | + | 0.734963i | ||||
\(687\) | 18.3925 | − | 18.3925i | 0.701717 | − | 0.701717i | ||||
\(688\) | −28.3857 | − | 32.1820i | −1.08219 | − | 1.22693i | ||||
\(689\) | − | 6.44256i | − | 0.245442i | ||||||
\(690\) | −17.1368 | − | 17.8575i | −0.652386 | − | 0.679823i | ||||
\(691\) | 22.6733i | 0.862534i | 0.902224 | + | 0.431267i | \(0.141933\pi\) | ||||
−0.902224 | + | 0.431267i | \(0.858067\pi\) | |||||||
\(692\) | −7.38042 | + | 6.93231i | −0.280561 | + | 0.263527i | ||||
\(693\) | −7.93216 | + | 7.93216i | −0.301318 | + | 0.301318i | ||||
\(694\) | 26.4567 | + | 27.2980i | 1.00428 | + | 1.03622i | ||||
\(695\) | 15.9434 | + | 16.1018i | 0.604769 | + | 0.610777i | ||||
\(696\) | −14.8579 | − | 16.3228i | −0.563188 | − | 0.618716i | ||||
\(697\) | −17.4961 | − | 17.4961i | −0.662711 | − | 0.662711i | ||||
\(698\) | 10.6953 | + | 0.167387i | 0.404825 | + | 0.00633567i | ||||
\(699\) | −19.6623 | −0.743698 | ||||||||
\(700\) | 12.5136 | + | 13.5892i | 0.472969 | + | 0.513624i | ||||
\(701\) | −4.26882 | −0.161231 | −0.0806155 | − | 0.996745i | \(-0.525689\pi\) | ||||
−0.0806155 | + | 0.996745i | \(0.525689\pi\) | |||||||
\(702\) | −7.54518 | − | 0.118085i | −0.284774 | − | 0.00445683i | ||||
\(703\) | 16.5371 | + | 16.5371i | 0.623708 | + | 0.623708i | ||||
\(704\) | 2.64139 | − | 28.0487i | 0.0995513 | − | 1.05713i | ||||
\(705\) | 13.7785 | + | 13.9154i | 0.518930 | + | 0.524085i | ||||
\(706\) | 29.9494 | + | 30.9017i | 1.12716 | + | 1.16300i | ||||
\(707\) | −4.46970 | + | 4.46970i | −0.168100 | + | 0.168100i | ||||
\(708\) | 3.53973 | + | 3.76854i | 0.133031 | + | 0.141630i | ||||
\(709\) | 25.6567i | 0.963558i | 0.876293 | + | 0.481779i | \(0.160009\pi\) | ||||
−0.876293 | + | 0.481779i | \(0.839991\pi\) | |||||||
\(710\) | 31.3057 | + | 32.6223i | 1.17488 | + | 1.22429i | ||||
\(711\) | − | 1.32233i | − | 0.0495913i | ||||||
\(712\) | −1.24999 | − | 0.0587269i | −0.0468453 | − | 0.00220088i | ||||
\(713\) | 20.3700 | − | 20.3700i | 0.762861 | − | 0.762861i | ||||
\(714\) | −5.88353 | + | 5.70220i | −0.220185 | + | 0.213400i | ||||
\(715\) | −0.0389232 | + | 7.87444i | −0.00145564 | + | 0.294487i | ||||
\(716\) | 5.25829 | + | 0.164629i | 0.196511 | + | 0.00615248i | ||||
\(717\) | 9.80007 | + | 9.80007i | 0.365990 | + | 0.365990i | ||||
\(718\) | −0.561137 | + | 35.8544i | −0.0209414 | + | 1.33808i | ||||
\(719\) | 44.8441 | 1.67240 | 0.836201 | − | 0.548422i | \(-0.184771\pi\) | ||||
0.836201 | + | 0.548422i | \(0.184771\pi\) | |||||||
\(720\) | −11.6169 | + | 10.1449i | −0.432937 | + | 0.378078i | ||||
\(721\) | −23.8183 | −0.887041 | ||||||||
\(722\) | −0.258246 | + | 16.5009i | −0.00961091 | + | 0.614100i | ||||
\(723\) | 20.0931 | + | 20.0931i | 0.747272 | + | 0.747272i | ||||
\(724\) | −36.9505 | − | 1.15686i | −1.37325 | − | 0.0429945i | ||||
\(725\) | 34.5453 | + | 0.341522i | 1.28298 | + | 0.0126838i | ||||
\(726\) | 1.60769 | − | 1.55814i | 0.0596669 | − | 0.0578281i | ||||
\(727\) | 4.22306 | − | 4.22306i | 0.156625 | − | 0.156625i | −0.624444 | − | 0.781069i | \(-0.714675\pi\) |
0.781069 | + | 0.624444i | \(0.214675\pi\) | |||||||
\(728\) | 5.21923 | + | 0.245209i | 0.193437 | + | 0.00908806i | ||||
\(729\) | − | 19.5516i | − | 0.724134i | ||||||
\(730\) | −0.353737 | + | 17.1759i | −0.0130924 | + | 0.635708i | ||||
\(731\) | 29.7892i | 1.10179i | ||||||||
\(732\) | −12.0127 | − | 12.7892i | −0.444003 | − | 0.472704i | ||||
\(733\) | 10.7917 | − | 10.7917i | 0.398601 | − | 0.398601i | −0.479139 | − | 0.877739i | \(-0.659051\pi\) |
0.877739 | + | 0.479139i | \(0.159051\pi\) | |||||||
\(734\) | 0.325584 | + | 0.335937i | 0.0120175 | + | 0.0123997i | ||||
\(735\) | −9.06003 | − | 0.0447835i | −0.334184 | − | 0.00165186i | ||||
\(736\) | −29.8003 | + | 25.4670i | −1.09845 | + | 0.938726i | ||||
\(737\) | 3.16424 | + | 3.16424i | 0.116556 | + | 0.116556i | ||||
\(738\) | −21.7271 | − | 0.340038i | −0.799787 | − | 0.0125170i | ||||
\(739\) | −40.5731 | −1.49250 | −0.746252 | − | 0.665663i | \(-0.768149\pi\) | ||||
−0.746252 | + | 0.665663i | \(0.768149\pi\) | |||||||
\(740\) | 1.39967 | − | 38.6040i | 0.0514528 | − | 1.41911i | ||||
\(741\) | −3.05800 | −0.112338 | ||||||||
\(742\) | −16.8291 | − | 0.263382i | −0.617815 | − | 0.00966906i | ||||
\(743\) | 2.78875 | + | 2.78875i | 0.102309 | + | 0.102309i | 0.756409 | − | 0.654099i | \(-0.226952\pi\) |
−0.654099 | + | 0.756409i | \(0.726952\pi\) | |||||||
\(744\) | 8.93951 | + | 9.82091i | 0.327738 | + | 0.360052i | ||||
\(745\) | 20.9284 | − | 20.7225i | 0.766757 | − | 0.759214i | ||||
\(746\) | 19.0382 | + | 19.6436i | 0.697039 | + | 0.719203i | ||||
\(747\) | 1.25482 | − | 1.25482i | 0.0459116 | − | 0.0459116i | ||||
\(748\) | −14.2552 | + | 13.3897i | −0.521221 | + | 0.489574i | ||||
\(749\) | − | 2.31201i | − | 0.0844790i | ||||||
\(750\) | −0.544194 | + | 17.8498i | −0.0198711 | + | 0.651782i | ||||
\(751\) | − | 17.6843i | − | 0.645308i | −0.946517 | − | 0.322654i | \(-0.895425\pi\) | ||
0.946517 | − | 0.322654i | \(-0.104575\pi\) | |||||||
\(752\) | 23.2606 | − | 20.5167i | 0.848226 | − | 0.748167i | ||||
\(753\) | −16.9573 | + | 16.9573i | −0.617960 | + | 0.617960i | ||||
\(754\) | 7.01667 | − | 6.80043i | 0.255532 | − | 0.247657i | ||||
\(755\) | −31.2362 | + | 30.9290i | −1.13680 | + | 1.12562i | ||||
\(756\) | −0.616917 | + | 19.7045i | −0.0224371 | + | 0.716645i | ||||
\(757\) | 21.2020 | + | 21.2020i | 0.770600 | + | 0.770600i | 0.978211 | − | 0.207611i | \(-0.0665689\pi\) |
−0.207611 | + | 0.978211i | \(0.566569\pi\) | |||||||
\(758\) | 0.604106 | − | 38.6000i | 0.0219421 | − | 1.40201i | ||||
\(759\) | −27.5622 | −1.00044 | ||||||||
\(760\) | −12.7201 | + | 11.4641i | −0.461408 | + | 0.415846i | ||||
\(761\) | −10.5601 | −0.382804 | −0.191402 | − | 0.981512i | \(-0.561303\pi\) | ||||
−0.191402 | + | 0.981512i | \(0.561303\pi\) | |||||||
\(762\) | 0.258139 | − | 16.4941i | 0.00935141 | − | 0.597518i | ||||
\(763\) | −1.50275 | − | 1.50275i | −0.0544033 | − | 0.0544033i | ||||
\(764\) | −1.45817 | + | 46.5743i | −0.0527548 | + | 1.68500i | ||||
\(765\) | 10.7065 | + | 0.0529220i | 0.387094 | + | 0.00191340i | ||||
\(766\) | 15.3769 | − | 14.9030i | 0.555589 | − | 0.538466i | ||||
\(767\) | −1.61846 | + | 1.61846i | −0.0584392 | + | 0.0584392i | ||||
\(768\) | −11.0826 | − | 14.2738i | −0.399910 | − | 0.515060i | ||||
\(769\) | 1.08776i | 0.0392255i | 0.999808 | + | 0.0196128i | \(0.00624333\pi\) | ||||
−0.999808 | + | 0.0196128i | \(0.993757\pi\) | |||||||
\(770\) | 20.5678 | + | 0.423594i | 0.741213 | + | 0.0152653i | ||||
\(771\) | 1.74124i | 0.0627094i | ||||||||
\(772\) | −5.51393 | + |