Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,2,Mod(3,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.k (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.279476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 33.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 35.33 |
Dual form | 35.2.k.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.133975 | − | 0.500000i | −0.0947343 | − | 0.353553i | 0.902245 | − | 0.431224i | \(-0.141918\pi\) |
−0.996979 | + | 0.0776710i | \(0.975252\pi\) | |||||||
\(3\) | −0.500000 | − | 0.133975i | −0.288675 | − | 0.0773503i | 0.111576 | − | 0.993756i | \(-0.464410\pi\) |
−0.400251 | + | 0.916406i | \(0.631077\pi\) | |||||||
\(4\) | 1.50000 | − | 0.866025i | 0.750000 | − | 0.433013i | ||||
\(5\) | −1.86603 | + | 1.23205i | −0.834512 | + | 0.550990i | ||||
\(6\) | 0.267949i | 0.109390i | ||||||||
\(7\) | −0.866025 | + | 2.50000i | −0.327327 | + | 0.944911i | ||||
\(8\) | −1.36603 | − | 1.36603i | −0.482963 | − | 0.482963i | ||||
\(9\) | −2.36603 | − | 1.36603i | −0.788675 | − | 0.455342i | ||||
\(10\) | 0.866025 | + | 0.767949i | 0.273861 | + | 0.242847i | ||||
\(11\) | 1.36603 | + | 2.36603i | 0.411872 | + | 0.713384i | 0.995094 | − | 0.0989291i | \(-0.0315417\pi\) |
−0.583222 | + | 0.812313i | \(0.698208\pi\) | |||||||
\(12\) | −0.866025 | + | 0.232051i | −0.250000 | + | 0.0669873i | ||||
\(13\) | 2.00000 | − | 2.00000i | 0.554700 | − | 0.554700i | −0.373094 | − | 0.927794i | \(-0.621703\pi\) |
0.927794 | + | 0.373094i | \(0.121703\pi\) | |||||||
\(14\) | 1.36603 | + | 0.0980762i | 0.365086 | + | 0.0262120i | ||||
\(15\) | 1.09808 | − | 0.366025i | 0.283522 | − | 0.0945074i | ||||
\(16\) | 1.23205 | − | 2.13397i | 0.308013 | − | 0.533494i | ||||
\(17\) | 1.00000 | − | 3.73205i | 0.242536 | − | 0.905155i | −0.732070 | − | 0.681229i | \(-0.761446\pi\) |
0.974606 | − | 0.223926i | \(-0.0718875\pi\) | |||||||
\(18\) | −0.366025 | + | 1.36603i | −0.0862730 | + | 0.321975i | ||||
\(19\) | −0.366025 | + | 0.633975i | −0.0839720 | + | 0.145444i | −0.904953 | − | 0.425512i | \(-0.860094\pi\) |
0.820981 | + | 0.570956i | \(0.193427\pi\) | |||||||
\(20\) | −1.73205 | + | 3.46410i | −0.387298 | + | 0.774597i | ||||
\(21\) | 0.767949 | − | 1.13397i | 0.167580 | − | 0.247454i | ||||
\(22\) | 1.00000 | − | 1.00000i | 0.213201 | − | 0.213201i | ||||
\(23\) | −0.133975 | + | 0.0358984i | −0.0279356 | + | 0.00748533i | −0.272760 | − | 0.962082i | \(-0.587936\pi\) |
0.244824 | + | 0.969567i | \(0.421270\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | 1.96410 | − | 4.59808i | 0.392820 | − | 0.919615i | ||||
\(26\) | −1.26795 | − | 0.732051i | −0.248665 | − | 0.143567i | ||||
\(27\) | 2.09808 | + | 2.09808i | 0.403775 | + | 0.403775i | ||||
\(28\) | 0.866025 | + | 4.50000i | 0.163663 | + | 0.850420i | ||||
\(29\) | 3.00000i | 0.557086i | 0.960424 | + | 0.278543i | \(0.0898515\pi\) | ||||
−0.960424 | + | 0.278543i | \(0.910149\pi\) | |||||||
\(30\) | −0.330127 | − | 0.500000i | −0.0602727 | − | 0.0912871i | ||||
\(31\) | −6.46410 | + | 3.73205i | −1.16099 | + | 0.670296i | −0.951540 | − | 0.307524i | \(-0.900500\pi\) |
−0.209447 | + | 0.977820i | \(0.567166\pi\) | |||||||
\(32\) | −4.96410 | − | 1.33013i | −0.877537 | − | 0.235135i | ||||
\(33\) | −0.366025 | − | 1.36603i | −0.0637168 | − | 0.237795i | ||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | −1.46410 | − | 5.73205i | −0.247478 | − | 0.968893i | ||||
\(36\) | −4.73205 | −0.788675 | ||||||||
\(37\) | 1.26795 | + | 4.73205i | 0.208450 | + | 0.777944i | 0.988370 | + | 0.152066i | \(0.0485927\pi\) |
−0.779921 | + | 0.625878i | \(0.784741\pi\) | |||||||
\(38\) | 0.366025 | + | 0.0980762i | 0.0593772 | + | 0.0159101i | ||||
\(39\) | −1.26795 | + | 0.732051i | −0.203034 | + | 0.117222i | ||||
\(40\) | 4.23205 | + | 0.866025i | 0.669146 | + | 0.136931i | ||||
\(41\) | − | 6.46410i | − | 1.00952i | −0.863259 | − | 0.504762i | \(-0.831580\pi\) | ||
0.863259 | − | 0.504762i | \(-0.168420\pi\) | |||||||
\(42\) | −0.669873 | − | 0.232051i | −0.103364 | − | 0.0358062i | ||||
\(43\) | 2.83013 | + | 2.83013i | 0.431590 | + | 0.431590i | 0.889169 | − | 0.457579i | \(-0.151283\pi\) |
−0.457579 | + | 0.889169i | \(0.651283\pi\) | |||||||
\(44\) | 4.09808 | + | 2.36603i | 0.617808 | + | 0.356692i | ||||
\(45\) | 6.09808 | − | 0.366025i | 0.909048 | − | 0.0545638i | ||||
\(46\) | 0.0358984 | + | 0.0621778i | 0.00529293 | + | 0.00916762i | ||||
\(47\) | 8.83013 | − | 2.36603i | 1.28801 | − | 0.345120i | 0.451103 | − | 0.892472i | \(-0.351031\pi\) |
0.836903 | + | 0.547351i | \(0.184364\pi\) | |||||||
\(48\) | −0.901924 | + | 0.901924i | −0.130181 | + | 0.130181i | ||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | −2.56218 | − | 0.366025i | −0.362347 | − | 0.0517638i | ||||
\(51\) | −1.00000 | + | 1.73205i | −0.140028 | + | 0.242536i | ||||
\(52\) | 1.26795 | − | 4.73205i | 0.175833 | − | 0.656217i | ||||
\(53\) | −1.83013 | + | 6.83013i | −0.251387 | + | 0.938190i | 0.718677 | + | 0.695344i | \(0.244748\pi\) |
−0.970065 | + | 0.242846i | \(0.921919\pi\) | |||||||
\(54\) | 0.767949 | − | 1.33013i | 0.104505 | − | 0.181007i | ||||
\(55\) | −5.46410 | − | 2.73205i | −0.736779 | − | 0.368390i | ||||
\(56\) | 4.59808 | − | 2.23205i | 0.614444 | − | 0.298270i | ||||
\(57\) | 0.267949 | − | 0.267949i | 0.0354907 | − | 0.0354907i | ||||
\(58\) | 1.50000 | − | 0.401924i | 0.196960 | − | 0.0527752i | ||||
\(59\) | 4.09808 | + | 7.09808i | 0.533524 | + | 0.924091i | 0.999233 | + | 0.0391530i | \(0.0124660\pi\) |
−0.465709 | + | 0.884938i | \(0.654201\pi\) | |||||||
\(60\) | 1.33013 | − | 1.50000i | 0.171719 | − | 0.193649i | ||||
\(61\) | 1.33013 | + | 0.767949i | 0.170305 | + | 0.0983258i | 0.582730 | − | 0.812666i | \(-0.301985\pi\) |
−0.412424 | + | 0.910992i | \(0.635318\pi\) | |||||||
\(62\) | 2.73205 | + | 2.73205i | 0.346971 | + | 0.346971i | ||||
\(63\) | 5.46410 | − | 4.73205i | 0.688412 | − | 0.596182i | ||||
\(64\) | − | 2.26795i | − | 0.283494i | ||||||
\(65\) | −1.26795 | + | 6.19615i | −0.157270 | + | 0.768538i | ||||
\(66\) | −0.633975 | + | 0.366025i | −0.0780369 | + | 0.0450546i | ||||
\(67\) | −10.6962 | − | 2.86603i | −1.30674 | − | 0.350141i | −0.462747 | − | 0.886490i | \(-0.653136\pi\) |
−0.843996 | + | 0.536350i | \(0.819803\pi\) | |||||||
\(68\) | −1.73205 | − | 6.46410i | −0.210042 | − | 0.783887i | ||||
\(69\) | 0.0717968 | 0.00864332 | ||||||||
\(70\) | −2.66987 | + | 1.50000i | −0.319111 | + | 0.179284i | ||||
\(71\) | 1.26795 | 0.150478 | 0.0752389 | − | 0.997166i | \(-0.476028\pi\) | ||||
0.0752389 | + | 0.997166i | \(0.476028\pi\) | |||||||
\(72\) | 1.36603 | + | 5.09808i | 0.160988 | + | 0.600814i | ||||
\(73\) | −12.9282 | − | 3.46410i | −1.51313 | − | 0.405442i | −0.595658 | − | 0.803238i | \(-0.703109\pi\) |
−0.917474 | + | 0.397796i | \(0.869775\pi\) | |||||||
\(74\) | 2.19615 | − | 1.26795i | 0.255298 | − | 0.147396i | ||||
\(75\) | −1.59808 | + | 2.03590i | −0.184530 | + | 0.235085i | ||||
\(76\) | 1.26795i | 0.145444i | ||||||||
\(77\) | −7.09808 | + | 1.36603i | −0.808901 | + | 0.155673i | ||||
\(78\) | 0.535898 | + | 0.535898i | 0.0606785 | + | 0.0606785i | ||||
\(79\) | −2.83013 | − | 1.63397i | −0.318414 | − | 0.183837i | 0.332271 | − | 0.943184i | \(-0.392185\pi\) |
−0.650686 | + | 0.759347i | \(0.725518\pi\) | |||||||
\(80\) | 0.330127 | + | 5.50000i | 0.0369093 | + | 0.614919i | ||||
\(81\) | 3.33013 | + | 5.76795i | 0.370014 | + | 0.640883i | ||||
\(82\) | −3.23205 | + | 0.866025i | −0.356920 | + | 0.0956365i | ||||
\(83\) | 2.09808 | − | 2.09808i | 0.230294 | − | 0.230294i | −0.582522 | − | 0.812815i | \(-0.697934\pi\) |
0.812815 | + | 0.582522i | \(0.197934\pi\) | |||||||
\(84\) | 0.169873 | − | 2.36603i | 0.0185347 | − | 0.258155i | ||||
\(85\) | 2.73205 | + | 8.19615i | 0.296333 | + | 0.888998i | ||||
\(86\) | 1.03590 | − | 1.79423i | 0.111704 | − | 0.193477i | ||||
\(87\) | 0.401924 | − | 1.50000i | 0.0430908 | − | 0.160817i | ||||
\(88\) | 1.36603 | − | 5.09808i | 0.145619 | − | 0.543457i | ||||
\(89\) | 0.330127 | − | 0.571797i | 0.0349934 | − | 0.0606103i | −0.847998 | − | 0.529999i | \(-0.822192\pi\) |
0.882992 | + | 0.469389i | \(0.155526\pi\) | |||||||
\(90\) | −1.00000 | − | 3.00000i | −0.105409 | − | 0.316228i | ||||
\(91\) | 3.26795 | + | 6.73205i | 0.342574 | + | 0.705711i | ||||
\(92\) | −0.169873 | + | 0.169873i | −0.0177105 | + | 0.0177105i | ||||
\(93\) | 3.73205 | − | 1.00000i | 0.386996 | − | 0.103695i | ||||
\(94\) | −2.36603 | − | 4.09808i | −0.244037 | − | 0.422684i | ||||
\(95\) | −0.0980762 | − | 1.63397i | −0.0100624 | − | 0.167642i | ||||
\(96\) | 2.30385 | + | 1.33013i | 0.235135 | + | 0.135756i | ||||
\(97\) | 5.92820 | + | 5.92820i | 0.601918 | + | 0.601918i | 0.940821 | − | 0.338903i | \(-0.110056\pi\) |
−0.338903 | + | 0.940821i | \(0.610056\pi\) | |||||||
\(98\) | −1.42820 | + | 3.33013i | −0.144270 | + | 0.336394i | ||||
\(99\) | − | 7.46410i | − | 0.750170i | ||||||
\(100\) | −1.03590 | − | 8.59808i | −0.103590 | − | 0.859808i | ||||
\(101\) | 7.16025 | − | 4.13397i | 0.712472 | − | 0.411346i | −0.0995037 | − | 0.995037i | \(-0.531726\pi\) |
0.811976 | + | 0.583691i | \(0.198392\pi\) | |||||||
\(102\) | 1.00000 | + | 0.267949i | 0.0990148 | + | 0.0265309i | ||||
\(103\) | 1.23205 | + | 4.59808i | 0.121398 | + | 0.453062i | 0.999686 | − | 0.0250698i | \(-0.00798081\pi\) |
−0.878288 | + | 0.478132i | \(0.841314\pi\) | |||||||
\(104\) | −5.46410 | −0.535799 | ||||||||
\(105\) | −0.0358984 | + | 3.06218i | −0.00350332 | + | 0.298838i | ||||
\(106\) | 3.66025 | 0.355515 | ||||||||
\(107\) | −3.40192 | − | 12.6962i | −0.328876 | − | 1.22738i | −0.910357 | − | 0.413823i | \(-0.864193\pi\) |
0.581481 | − | 0.813560i | \(-0.302474\pi\) | |||||||
\(108\) | 4.96410 | + | 1.33013i | 0.477671 | + | 0.127992i | ||||
\(109\) | 8.76795 | − | 5.06218i | 0.839817 | − | 0.484869i | −0.0173849 | − | 0.999849i | \(-0.505534\pi\) |
0.857202 | + | 0.514980i | \(0.172201\pi\) | |||||||
\(110\) | −0.633975 | + | 3.09808i | −0.0604471 | + | 0.295390i | ||||
\(111\) | − | 2.53590i | − | 0.240697i | ||||||
\(112\) | 4.26795 | + | 4.92820i | 0.403283 | + | 0.465671i | ||||
\(113\) | −7.73205 | − | 7.73205i | −0.727370 | − | 0.727370i | 0.242725 | − | 0.970095i | \(-0.421959\pi\) |
−0.970095 | + | 0.242725i | \(0.921959\pi\) | |||||||
\(114\) | −0.169873 | − | 0.0980762i | −0.0159101 | − | 0.00918568i | ||||
\(115\) | 0.205771 | − | 0.232051i | 0.0191883 | − | 0.0216388i | ||||
\(116\) | 2.59808 | + | 4.50000i | 0.241225 | + | 0.417815i | ||||
\(117\) | −7.46410 | + | 2.00000i | −0.690056 | + | 0.184900i | ||||
\(118\) | 3.00000 | − | 3.00000i | 0.276172 | − | 0.276172i | ||||
\(119\) | 8.46410 | + | 5.73205i | 0.775903 | + | 0.525456i | ||||
\(120\) | −2.00000 | − | 1.00000i | −0.182574 | − | 0.0912871i | ||||
\(121\) | 1.76795 | − | 3.06218i | 0.160723 | − | 0.278380i | ||||
\(122\) | 0.205771 | − | 0.767949i | 0.0186297 | − | 0.0695269i | ||||
\(123\) | −0.866025 | + | 3.23205i | −0.0780869 | + | 0.291424i | ||||
\(124\) | −6.46410 | + | 11.1962i | −0.580493 | + | 1.00544i | ||||
\(125\) | 2.00000 | + | 11.0000i | 0.178885 | + | 0.983870i | ||||
\(126\) | −3.09808 | − | 2.09808i | −0.275999 | − | 0.186911i | ||||
\(127\) | 0.464102 | − | 0.464102i | 0.0411824 | − | 0.0411824i | −0.686216 | − | 0.727398i | \(-0.740729\pi\) |
0.727398 | + | 0.686216i | \(0.240729\pi\) | |||||||
\(128\) | −11.0622 | + | 2.96410i | −0.977768 | + | 0.261992i | ||||
\(129\) | −1.03590 | − | 1.79423i | −0.0912058 | − | 0.157973i | ||||
\(130\) | 3.26795 | − | 0.196152i | 0.286618 | − | 0.0172037i | ||||
\(131\) | −13.3923 | − | 7.73205i | −1.17009 | − | 0.675552i | −0.216390 | − | 0.976307i | \(-0.569428\pi\) |
−0.953702 | + | 0.300755i | \(0.902761\pi\) | |||||||
\(132\) | −1.73205 | − | 1.73205i | −0.150756 | − | 0.150756i | ||||
\(133\) | −1.26795 | − | 1.46410i | −0.109945 | − | 0.126954i | ||||
\(134\) | 5.73205i | 0.495174i | ||||||||
\(135\) | −6.50000 | − | 1.33013i | −0.559431 | − | 0.114479i | ||||
\(136\) | −6.46410 | + | 3.73205i | −0.554292 | + | 0.320021i | ||||
\(137\) | 13.1962 | + | 3.53590i | 1.12742 | + | 0.302092i | 0.773884 | − | 0.633327i | \(-0.218311\pi\) |
0.353539 | + | 0.935420i | \(0.384978\pi\) | |||||||
\(138\) | −0.00961894 | − | 0.0358984i | −0.000818819 | − | 0.00305587i | ||||
\(139\) | 5.66025 | 0.480096 | 0.240048 | − | 0.970761i | \(-0.422837\pi\) | ||||
0.240048 | + | 0.970761i | \(0.422837\pi\) | |||||||
\(140\) | −7.16025 | − | 7.33013i | −0.605152 | − | 0.619509i | ||||
\(141\) | −4.73205 | −0.398511 | ||||||||
\(142\) | −0.169873 | − | 0.633975i | −0.0142554 | − | 0.0532020i | ||||
\(143\) | 7.46410 | + | 2.00000i | 0.624180 | + | 0.167248i | ||||
\(144\) | −5.83013 | + | 3.36603i | −0.485844 | + | 0.280502i | ||||
\(145\) | −3.69615 | − | 5.59808i | −0.306949 | − | 0.464895i | ||||
\(146\) | 6.92820i | 0.573382i | ||||||||
\(147\) | 2.16987 | + | 2.90192i | 0.178968 | + | 0.239347i | ||||
\(148\) | 6.00000 | + | 6.00000i | 0.493197 | + | 0.493197i | ||||
\(149\) | −0.696152 | − | 0.401924i | −0.0570310 | − | 0.0329269i | 0.471213 | − | 0.882019i | \(-0.343816\pi\) |
−0.528244 | + | 0.849092i | \(0.677150\pi\) | |||||||
\(150\) | 1.23205 | + | 0.526279i | 0.100597 | + | 0.0429705i | ||||
\(151\) | −6.92820 | − | 12.0000i | −0.563809 | − | 0.976546i | −0.997159 | − | 0.0753205i | \(-0.976002\pi\) |
0.433350 | − | 0.901226i | \(-0.357331\pi\) | |||||||
\(152\) | 1.36603 | − | 0.366025i | 0.110799 | − | 0.0296886i | ||||
\(153\) | −7.46410 | + | 7.46410i | −0.603437 | + | 0.603437i | ||||
\(154\) | 1.63397 | + | 3.36603i | 0.131669 | + | 0.271242i | ||||
\(155\) | 7.46410 | − | 14.9282i | 0.599531 | − | 1.19906i | ||||
\(156\) | −1.26795 | + | 2.19615i | −0.101517 | + | 0.175833i | ||||
\(157\) | −1.24167 | + | 4.63397i | −0.0990960 | + | 0.369831i | −0.997609 | − | 0.0691164i | \(-0.977982\pi\) |
0.898513 | + | 0.438948i | \(0.144649\pi\) | |||||||
\(158\) | −0.437822 | + | 1.63397i | −0.0348313 | + | 0.129992i | ||||
\(159\) | 1.83013 | − | 3.16987i | 0.145139 | − | 0.251387i | ||||
\(160\) | 10.9019 | − | 3.63397i | 0.861873 | − | 0.287291i | ||||
\(161\) | 0.0262794 | − | 0.366025i | 0.00207111 | − | 0.0288468i | ||||
\(162\) | 2.43782 | − | 2.43782i | 0.191533 | − | 0.191533i | ||||
\(163\) | 13.5622 | − | 3.63397i | 1.06227 | − | 0.284635i | 0.314958 | − | 0.949106i | \(-0.398010\pi\) |
0.747314 | + | 0.664471i | \(0.231343\pi\) | |||||||
\(164\) | −5.59808 | − | 9.69615i | −0.437136 | − | 0.757142i | ||||
\(165\) | 2.36603 | + | 2.09808i | 0.184195 | + | 0.163335i | ||||
\(166\) | −1.33013 | − | 0.767949i | −0.103238 | − | 0.0596044i | ||||
\(167\) | −11.7583 | − | 11.7583i | −0.909887 | − | 0.909887i | 0.0863757 | − | 0.996263i | \(-0.472471\pi\) |
−0.996263 | + | 0.0863757i | \(0.972471\pi\) | |||||||
\(168\) | −2.59808 | + | 0.500000i | −0.200446 | + | 0.0385758i | ||||
\(169\) | 5.00000i | 0.384615i | ||||||||
\(170\) | 3.73205 | − | 2.46410i | 0.286235 | − | 0.188988i | ||||
\(171\) | 1.73205 | − | 1.00000i | 0.132453 | − | 0.0764719i | ||||
\(172\) | 6.69615 | + | 1.79423i | 0.510577 | + | 0.136809i | ||||
\(173\) | 5.33975 | + | 19.9282i | 0.405973 | + | 1.51511i | 0.802253 | + | 0.596984i | \(0.203634\pi\) |
−0.396280 | + | 0.918130i | \(0.629699\pi\) | |||||||
\(174\) | −0.803848 | −0.0609395 | ||||||||
\(175\) | 9.79423 | + | 8.89230i | 0.740374 | + | 0.672195i | ||||
\(176\) | 6.73205 | 0.507447 | ||||||||
\(177\) | −1.09808 | − | 4.09808i | −0.0825365 | − | 0.308030i | ||||
\(178\) | −0.330127 | − | 0.0884573i | −0.0247441 | − | 0.00663015i | ||||
\(179\) | −6.80385 | + | 3.92820i | −0.508543 | + | 0.293608i | −0.732235 | − | 0.681052i | \(-0.761523\pi\) |
0.223691 | + | 0.974660i | \(0.428189\pi\) | |||||||
\(180\) | 8.83013 | − | 5.83013i | 0.658159 | − | 0.434552i | ||||
\(181\) | − | 1.19615i | − | 0.0889093i | −0.999011 | − | 0.0444547i | \(-0.985845\pi\) | ||
0.999011 | − | 0.0444547i | \(-0.0141550\pi\) | |||||||
\(182\) | 2.92820 | − | 2.53590i | 0.217053 | − | 0.187973i | ||||
\(183\) | −0.562178 | − | 0.562178i | −0.0415574 | − | 0.0415574i | ||||
\(184\) | 0.232051 | + | 0.133975i | 0.0171070 | + | 0.00987674i | ||||
\(185\) | −8.19615 | − | 7.26795i | −0.602593 | − | 0.534350i | ||||
\(186\) | −1.00000 | − | 1.73205i | −0.0733236 | − | 0.127000i | ||||
\(187\) | 10.1962 | − | 2.73205i | 0.745617 | − | 0.199787i | ||||
\(188\) | 11.1962 | − | 11.1962i | 0.816563 | − | 0.816563i | ||||
\(189\) | −7.06218 | + | 3.42820i | −0.513698 | + | 0.249365i | ||||
\(190\) | −0.803848 | + | 0.267949i | −0.0583172 | + | 0.0194391i | ||||
\(191\) | −6.63397 | + | 11.4904i | −0.480018 | + | 0.831415i | −0.999737 | − | 0.0229220i | \(-0.992703\pi\) |
0.519720 | + | 0.854337i | \(0.326036\pi\) | |||||||
\(192\) | −0.303848 | + | 1.13397i | −0.0219283 | + | 0.0818376i | ||||
\(193\) | 2.09808 | − | 7.83013i | 0.151023 | − | 0.563625i | −0.848390 | − | 0.529371i | \(-0.822428\pi\) |
0.999413 | − | 0.0342537i | \(-0.0109054\pi\) | |||||||
\(194\) | 2.16987 | − | 3.75833i | 0.155788 | − | 0.269832i | ||||
\(195\) | 1.46410 | − | 2.92820i | 0.104846 | − | 0.209693i | ||||
\(196\) | −12.0000 | − | 1.73205i | −0.857143 | − | 0.123718i | ||||
\(197\) | −10.1244 | + | 10.1244i | −0.721330 | + | 0.721330i | −0.968876 | − | 0.247546i | \(-0.920376\pi\) |
0.247546 | + | 0.968876i | \(0.420376\pi\) | |||||||
\(198\) | −3.73205 | + | 1.00000i | −0.265225 | + | 0.0710669i | ||||
\(199\) | 5.53590 | + | 9.58846i | 0.392429 | + | 0.679708i | 0.992769 | − | 0.120037i | \(-0.0383014\pi\) |
−0.600340 | + | 0.799745i | \(0.704968\pi\) | |||||||
\(200\) | −8.96410 | + | 3.59808i | −0.633858 | + | 0.254422i | ||||
\(201\) | 4.96410 | + | 2.86603i | 0.350141 | + | 0.202154i | ||||
\(202\) | −3.02628 | − | 3.02628i | −0.212928 | − | 0.212928i | ||||
\(203\) | −7.50000 | − | 2.59808i | −0.526397 | − | 0.182349i | ||||
\(204\) | 3.46410i | 0.242536i | ||||||||
\(205\) | 7.96410 | + | 12.0622i | 0.556237 | + | 0.842459i | ||||
\(206\) | 2.13397 | − | 1.23205i | 0.148681 | − | 0.0858410i | ||||
\(207\) | 0.366025 | + | 0.0980762i | 0.0254405 | + | 0.00681677i | ||||
\(208\) | −1.80385 | − | 6.73205i | −0.125074 | − | 0.466784i | ||||
\(209\) | −2.00000 | −0.138343 | ||||||||
\(210\) | 1.53590 | − | 0.392305i | 0.105987 | − | 0.0270716i | ||||
\(211\) | −0.196152 | −0.0135037 | −0.00675184 | − | 0.999977i | \(-0.502149\pi\) | ||||
−0.00675184 | + | 0.999977i | \(0.502149\pi\) | |||||||
\(212\) | 3.16987 | + | 11.8301i | 0.217708 | + | 0.812496i | ||||
\(213\) | −0.633975 | − | 0.169873i | −0.0434392 | − | 0.0116395i | ||||
\(214\) | −5.89230 | + | 3.40192i | −0.402790 | + | 0.232551i | ||||
\(215\) | −8.76795 | − | 1.79423i | −0.597969 | − | 0.122365i | ||||
\(216\) | − | 5.73205i | − | 0.390017i | ||||||
\(217\) | −3.73205 | − | 19.3923i | −0.253348 | − | 1.31644i | ||||
\(218\) | −3.70577 | − | 3.70577i | −0.250987 | − | 0.250987i | ||||
\(219\) | 6.00000 | + | 3.46410i | 0.405442 | + | 0.234082i | ||||
\(220\) | −10.5622 | + | 0.633975i | −0.712102 | + | 0.0427426i | ||||
\(221\) | −5.46410 | − | 9.46410i | −0.367555 | − | 0.636624i | ||||
\(222\) | −1.26795 | + | 0.339746i | −0.0850992 | + | 0.0228023i | ||||
\(223\) | −18.1244 | + | 18.1244i | −1.21370 | + | 1.21370i | −0.243895 | + | 0.969802i | \(0.578425\pi\) |
−0.969802 | + | 0.243895i | \(0.921575\pi\) | |||||||
\(224\) | 7.62436 | − | 11.2583i | 0.509424 | − | 0.752229i | ||||
\(225\) | −10.9282 | + | 8.19615i | −0.728547 | + | 0.546410i | ||||
\(226\) | −2.83013 | + | 4.90192i | −0.188257 | + | 0.326071i | ||||
\(227\) | −5.09808 | + | 19.0263i | −0.338371 | + | 1.26282i | 0.561797 | + | 0.827275i | \(0.310110\pi\) |
−0.900168 | + | 0.435543i | \(0.856556\pi\) | |||||||
\(228\) | 0.169873 | − | 0.633975i | 0.0112501 | − | 0.0419860i | ||||
\(229\) | 9.19615 | − | 15.9282i | 0.607699 | − | 1.05257i | −0.383920 | − | 0.923366i | \(-0.625426\pi\) |
0.991619 | − | 0.129199i | \(-0.0412406\pi\) | |||||||
\(230\) | −0.143594 | − | 0.0717968i | −0.00946828 | − | 0.00473414i | ||||
\(231\) | 3.73205 | + | 0.267949i | 0.245551 | + | 0.0176298i | ||||
\(232\) | 4.09808 | − | 4.09808i | 0.269052 | − | 0.269052i | ||||
\(233\) | 6.46410 | − | 1.73205i | 0.423477 | − | 0.113470i | −0.0407854 | − | 0.999168i | \(-0.512986\pi\) |
0.464263 | + | 0.885698i | \(0.346319\pi\) | |||||||
\(234\) | 2.00000 | + | 3.46410i | 0.130744 | + | 0.226455i | ||||
\(235\) | −13.5622 | + | 15.2942i | −0.884699 | + | 0.997685i | ||||
\(236\) | 12.2942 | + | 7.09808i | 0.800286 | + | 0.462045i | ||||
\(237\) | 1.19615 | + | 1.19615i | 0.0776984 | + | 0.0776984i | ||||
\(238\) | 1.73205 | − | 5.00000i | 0.112272 | − | 0.324102i | ||||
\(239\) | − | 2.39230i | − | 0.154745i | −0.997002 | − | 0.0773727i | \(-0.975347\pi\) | ||
0.997002 | − | 0.0773727i | \(-0.0246531\pi\) | |||||||
\(240\) | 0.571797 | − | 2.79423i | 0.0369093 | − | 0.180367i | ||||
\(241\) | 21.4641 | − | 12.3923i | 1.38262 | − | 0.798259i | 0.390155 | − | 0.920749i | \(-0.372422\pi\) |
0.992470 | + | 0.122491i | \(0.0390882\pi\) | |||||||
\(242\) | −1.76795 | − | 0.473721i | −0.113648 | − | 0.0304519i | ||||
\(243\) | −3.19615 | − | 11.9282i | −0.205033 | − | 0.765195i | ||||
\(244\) | 2.66025 | 0.170305 | ||||||||
\(245\) | 15.5981 | + | 1.30385i | 0.996525 | + | 0.0832998i | ||||
\(246\) | 1.73205 | 0.110432 | ||||||||
\(247\) | 0.535898 | + | 2.00000i | 0.0340984 | + | 0.127257i | ||||
\(248\) | 13.9282 | + | 3.73205i | 0.884442 | + | 0.236985i | ||||
\(249\) | −1.33013 | + | 0.767949i | −0.0842934 | + | 0.0486668i | ||||
\(250\) | 5.23205 | − | 2.47372i | 0.330904 | − | 0.156452i | ||||
\(251\) | 21.8564i | 1.37956i | 0.724017 | + | 0.689782i | \(0.242294\pi\) | ||||
−0.724017 | + | 0.689782i | \(0.757706\pi\) | |||||||
\(252\) | 4.09808 | − | 11.8301i | 0.258155 | − | 0.745228i | ||||
\(253\) | −0.267949 | − | 0.267949i | −0.0168458 | − | 0.0168458i | ||||
\(254\) | −0.294229 | − | 0.169873i | −0.0184615 | − | 0.0106588i | ||||
\(255\) | −0.267949 | − | 4.46410i | −0.0167796 | − | 0.279553i | ||||
\(256\) | 0.696152 | + | 1.20577i | 0.0435095 | + | 0.0753607i | ||||
\(257\) | −2.73205 | + | 0.732051i | −0.170421 | + | 0.0456641i | −0.343020 | − | 0.939328i | \(-0.611450\pi\) |
0.172600 | + | 0.984992i | \(0.444783\pi\) | |||||||
\(258\) | −0.758330 | + | 0.758330i | −0.0472116 | + | 0.0472116i | ||||
\(259\) | −12.9282 | − | 0.928203i | −0.803319 | − | 0.0576757i | ||||
\(260\) | 3.46410 | + | 10.3923i | 0.214834 | + | 0.644503i | ||||
\(261\) | 4.09808 | − | 7.09808i | 0.253665 | − | 0.439360i | ||||
\(262\) | −2.07180 | + | 7.73205i | −0.127996 | + | 0.477688i | ||||
\(263\) | 4.06218 | − | 15.1603i | 0.250485 | − | 0.934821i | −0.720062 | − | 0.693909i | \(-0.755887\pi\) |
0.970547 | − | 0.240912i | \(-0.0774465\pi\) | |||||||
\(264\) | −1.36603 | + | 2.36603i | −0.0840731 | + | 0.145619i | ||||
\(265\) | −5.00000 | − | 15.0000i | −0.307148 | − | 0.921443i | ||||
\(266\) | −0.562178 | + | 0.830127i | −0.0344693 | + | 0.0508984i | ||||
\(267\) | −0.241670 | + | 0.241670i | −0.0147899 | + | 0.0147899i | ||||
\(268\) | −18.5263 | + | 4.96410i | −1.13167 | + | 0.303231i | ||||
\(269\) | −11.4282 | − | 19.7942i | −0.696790 | − | 1.20688i | −0.969574 | − | 0.244800i | \(-0.921278\pi\) |
0.272784 | − | 0.962075i | \(-0.412056\pi\) | |||||||
\(270\) | 0.205771 | + | 3.42820i | 0.0125228 | + | 0.208634i | ||||
\(271\) | 18.4186 | + | 10.6340i | 1.11885 | + | 0.645968i | 0.941107 | − | 0.338109i | \(-0.109787\pi\) |
0.177742 | + | 0.984077i | \(0.443121\pi\) | |||||||
\(272\) | −6.73205 | − | 6.73205i | −0.408191 | − | 0.408191i | ||||
\(273\) | −0.732051 | − | 3.80385i | −0.0443057 | − | 0.230219i | ||||
\(274\) | − | 7.07180i | − | 0.427223i | ||||||
\(275\) | 13.5622 | − | 1.63397i | 0.817830 | − | 0.0985324i | ||||
\(276\) | 0.107695 | − | 0.0621778i | 0.00648249 | − | 0.00374267i | ||||
\(277\) | 5.19615 | + | 1.39230i | 0.312207 | + | 0.0836555i | 0.411520 | − | 0.911401i | \(-0.364998\pi\) |
−0.0993135 | + | 0.995056i | \(0.531665\pi\) | |||||||
\(278\) | −0.758330 | − | 2.83013i | −0.0454816 | − | 0.169740i | ||||
\(279\) | 20.3923 | 1.22086 | ||||||||
\(280\) | −5.83013 | + | 9.83013i | −0.348417 | + | 0.587462i | ||||
\(281\) | −0.928203 | −0.0553720 | −0.0276860 | − | 0.999617i | \(-0.508814\pi\) | ||||
−0.0276860 | + | 0.999617i | \(0.508814\pi\) | |||||||
\(282\) | 0.633975 | + | 2.36603i | 0.0377526 | + | 0.140895i | ||||
\(283\) | −1.90192 | − | 0.509619i | −0.113058 | − | 0.0302937i | 0.201847 | − | 0.979417i | \(-0.435306\pi\) |
−0.314904 | + | 0.949123i | \(0.601972\pi\) | |||||||
\(284\) | 1.90192 | − | 1.09808i | 0.112858 | − | 0.0651588i | ||||
\(285\) | −0.169873 | + | 0.830127i | −0.0100624 | + | 0.0491725i | ||||
\(286\) | − | 4.00000i | − | 0.236525i | ||||||
\(287\) | 16.1603 | + | 5.59808i | 0.953910 | + | 0.330444i | ||||
\(288\) | 9.92820 | + | 9.92820i | 0.585025 | + | 0.585025i | ||||
\(289\) | 1.79423 | + | 1.03590i | 0.105543 | + | 0.0609352i | ||||
\(290\) | −2.30385 | + | 2.59808i | −0.135287 | + | 0.152564i | ||||
\(291\) | −2.16987 | − | 3.75833i | −0.127200 | − | 0.220317i | ||||
\(292\) | −22.3923 | + | 6.00000i | −1.31041 | + | 0.351123i | ||||
\(293\) | 2.39230 | − | 2.39230i | 0.139760 | − | 0.139760i | −0.633765 | − | 0.773525i | \(-0.718492\pi\) |
0.773525 | + | 0.633765i | \(0.218492\pi\) | |||||||
\(294\) | 1.16025 | − | 1.47372i | 0.0676674 | − | 0.0859491i | ||||
\(295\) | −16.3923 | − | 8.19615i | −0.954397 | − | 0.477198i | ||||
\(296\) | 4.73205 | − | 8.19615i | 0.275045 | − | 0.476392i | ||||
\(297\) | −2.09808 | + | 7.83013i | −0.121743 | + | 0.454350i | ||||
\(298\) | −0.107695 | + | 0.401924i | −0.00623861 | + | 0.0232828i | ||||
\(299\) | −0.196152 | + | 0.339746i | −0.0113438 | + | 0.0196480i | ||||
\(300\) | −0.633975 | + | 4.43782i | −0.0366025 | + | 0.256218i | ||||
\(301\) | −9.52628 | + | 4.62436i | −0.549086 | + | 0.266543i | ||||
\(302\) | −5.07180 | + | 5.07180i | −0.291849 | + | 0.291849i | ||||
\(303\) | −4.13397 | + | 1.10770i | −0.237491 | + | 0.0636354i | ||||
\(304\) | 0.901924 | + | 1.56218i | 0.0517289 | + | 0.0895970i | ||||
\(305\) | −3.42820 | + | 0.205771i | −0.196298 | + | 0.0117824i | ||||
\(306\) | 4.73205 | + | 2.73205i | 0.270513 | + | 0.156181i | ||||
\(307\) | −6.29423 | − | 6.29423i | −0.359231 | − | 0.359231i | 0.504299 | − | 0.863529i | \(-0.331751\pi\) |
−0.863529 | + | 0.504299i | \(0.831751\pi\) | |||||||
\(308\) | −9.46410 | + | 8.19615i | −0.539267 | + | 0.467019i | ||||
\(309\) | − | 2.46410i | − | 0.140178i | ||||||
\(310\) | −8.46410 | − | 1.73205i | −0.480729 | − | 0.0983739i | ||||
\(311\) | −13.2224 | + | 7.63397i | −0.749775 | + | 0.432883i | −0.825613 | − | 0.564237i | \(-0.809170\pi\) |
0.0758374 | + | 0.997120i | \(0.475837\pi\) | |||||||
\(312\) | 2.73205 | + | 0.732051i | 0.154672 | + | 0.0414442i | ||||
\(313\) | −1.39230 | − | 5.19615i | −0.0786977 | − | 0.293704i | 0.915349 | − | 0.402662i | \(-0.131915\pi\) |
−0.994046 | + | 0.108958i | \(0.965248\pi\) | |||||||
\(314\) | 2.48334 | 0.140143 | ||||||||
\(315\) | −4.36603 | + | 15.5622i | −0.245998 | + | 0.876829i | ||||
\(316\) | −5.66025 | −0.318414 | ||||||||
\(317\) | −2.46410 | − | 9.19615i | −0.138398 | − | 0.516507i | −0.999961 | − | 0.00885679i | \(-0.997181\pi\) |
0.861563 | − | 0.507651i | \(-0.169486\pi\) | |||||||
\(318\) | −1.83013 | − | 0.490381i | −0.102628 | − | 0.0274992i | ||||
\(319\) | −7.09808 | + | 4.09808i | −0.397416 | + | 0.229448i | ||||
\(320\) | 2.79423 | + | 4.23205i | 0.156202 | + | 0.236579i | ||||
\(321\) | 6.80385i | 0.379754i | ||||||||
\(322\) | −0.186533 | + | 0.0358984i | −0.0103951 | + | 0.00200054i | ||||
\(323\) | 2.00000 | + | 2.00000i | 0.111283 | + | 0.111283i | ||||
\(324\) | 9.99038 | + | 5.76795i | 0.555021 | + | 0.320442i | ||||
\(325\) | −5.26795 | − | 13.1244i | −0.292213 | − | 0.728008i | ||||
\(326\) | −3.63397 | − | 6.29423i | −0.201267 | − | 0.348605i | ||||
\(327\) | −5.06218 | + | 1.35641i | −0.279939 | + | 0.0750094i | ||||
\(328\) | −8.83013 | + | 8.83013i | −0.487562 | + | 0.487562i | ||||
\(329\) | −1.73205 | + | 24.1244i | −0.0954911 | + | 1.33002i | ||||
\(330\) | 0.732051 | − | 1.46410i | 0.0402981 | − | 0.0805961i | ||||
\(331\) | 0.928203 | − | 1.60770i | 0.0510187 | − | 0.0883669i | −0.839388 | − | 0.543532i | \(-0.817087\pi\) |
0.890407 | + | 0.455165i | \(0.150420\pi\) | |||||||
\(332\) | 1.33013 | − | 4.96410i | 0.0730002 | − | 0.272440i | ||||
\(333\) | 3.46410 | − | 12.9282i | 0.189832 | − | 0.708461i | ||||
\(334\) | −4.30385 | + | 7.45448i | −0.235496 | + | 0.407891i | ||||
\(335\) | 23.4904 | − | 7.83013i | 1.28342 | − | 0.427806i | ||||
\(336\) | −1.47372 | − | 3.03590i | −0.0803980 | − | 0.165622i | ||||
\(337\) | 9.53590 | − | 9.53590i | 0.519453 | − | 0.519453i | −0.397953 | − | 0.917406i | \(-0.630279\pi\) |
0.917406 | + | 0.397953i | \(0.130279\pi\) | |||||||
\(338\) | 2.50000 | − | 0.669873i | 0.135982 | − | 0.0364363i | ||||
\(339\) | 2.83013 | + | 4.90192i | 0.153711 | + | 0.266236i | ||||
\(340\) | 11.1962 | + | 9.92820i | 0.607197 | + | 0.538432i | ||||
\(341\) | −17.6603 | − | 10.1962i | −0.956356 | − | 0.552153i | ||||
\(342\) | −0.732051 | − | 0.732051i | −0.0395848 | − | 0.0395848i | ||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | − | 7.73205i | − | 0.416884i | ||||||
\(345\) | −0.133975 | + | 0.0884573i | −0.00721295 | + | 0.00476238i | ||||
\(346\) | 9.24871 | − | 5.33975i | 0.497214 | − | 0.287067i | ||||
\(347\) | 29.0885 | + | 7.79423i | 1.56155 | + | 0.418416i | 0.933154 | − | 0.359477i | \(-0.117045\pi\) |
0.628396 | + | 0.777893i | \(0.283712\pi\) | |||||||
\(348\) | −0.696152 | − | 2.59808i | −0.0373177 | − | 0.139272i | ||||
\(349\) | −6.26795 | −0.335516 | −0.167758 | − | 0.985828i | \(-0.553653\pi\) | ||||
−0.167758 | + | 0.985828i | \(0.553653\pi\) | |||||||
\(350\) | 3.13397 | − | 6.08846i | 0.167518 | − | 0.325442i | ||||
\(351\) | 8.39230 | 0.447948 | ||||||||
\(352\) | −3.63397 | − | 13.5622i | −0.193691 | − | 0.722867i | ||||
\(353\) | 13.5622 | + | 3.63397i | 0.721842 | + | 0.193417i | 0.600993 | − | 0.799254i | \(-0.294772\pi\) |
0.120849 | + | 0.992671i | \(0.461438\pi\) | |||||||
\(354\) | −1.90192 | + | 1.09808i | −0.101086 | + | 0.0583621i | ||||
\(355\) | −2.36603 | + | 1.56218i | −0.125576 | + | 0.0829118i | ||||
\(356\) | − | 1.14359i | − | 0.0606103i | ||||||
\(357\) | −3.46410 | − | 4.00000i | −0.183340 | − | 0.211702i | ||||
\(358\) | 2.87564 | + | 2.87564i | 0.151983 | + | 0.151983i | ||||
\(359\) | −29.6603 | − | 17.1244i | −1.56541 | − | 0.903789i | −0.996693 | − | 0.0812542i | \(-0.974107\pi\) |
−0.568715 | − | 0.822535i | \(-0.692559\pi\) | |||||||
\(360\) | −8.83013 | − | 7.83013i | −0.465389 | − | 0.412684i | ||||
\(361\) | 9.23205 | + | 15.9904i | 0.485897 | + | 0.841599i | ||||
\(362\) | −0.598076 | + | 0.160254i | −0.0314342 | + | 0.00842277i | ||||
\(363\) | −1.29423 | + | 1.29423i | −0.0679294 | + | 0.0679294i | ||||
\(364\) | 10.7321 | + | 7.26795i | 0.562512 | + | 0.380944i | ||||
\(365\) | 28.3923 | − | 9.46410i | 1.48612 | − | 0.495374i | ||||
\(366\) | −0.205771 | + | 0.356406i | −0.0107558 | + | 0.0186297i | ||||
\(367\) | 0.133975 | − | 0.500000i | 0.00699342 | − | 0.0260998i | −0.962341 | − | 0.271845i | \(-0.912366\pi\) |
0.969334 | + | 0.245746i | \(0.0790328\pi\) | |||||||
\(368\) | −0.0884573 | + | 0.330127i | −0.00461115 | + | 0.0172091i | ||||
\(369\) | −8.83013 | + | 15.2942i | −0.459678 | + | 0.796186i | ||||
\(370\) | −2.53590 | + | 5.07180i | −0.131835 | + | 0.263670i | ||||
\(371\) | −15.4904 | − | 10.4904i | −0.804221 | − | 0.544633i | ||||
\(372\) | 4.73205 | − | 4.73205i | 0.245345 | − | 0.245345i | ||||
\(373\) | −7.73205 | + | 2.07180i | −0.400350 | + | 0.107274i | −0.453376 | − | 0.891320i | \(-0.649780\pi\) |
0.0530251 | + | 0.998593i | \(0.483114\pi\) | |||||||
\(374\) | −2.73205 | − | 4.73205i | −0.141271 | − | 0.244689i | ||||
\(375\) | 0.473721 | − | 5.76795i | 0.0244628 | − | 0.297856i | ||||
\(376\) | −15.2942 | − | 8.83013i | −0.788740 | − | 0.455379i | ||||
\(377\) | 6.00000 | + | 6.00000i | 0.309016 | + | 0.309016i | ||||
\(378\) | 2.66025 | + | 3.07180i | 0.136829 | + | 0.157996i | ||||
\(379\) | − | 2.33975i | − | 0.120185i | −0.998193 | − | 0.0600923i | \(-0.980860\pi\) | ||
0.998193 | − | 0.0600923i | \(-0.0191395\pi\) | |||||||
\(380\) | −1.56218 | − | 2.36603i | −0.0801380 | − | 0.121375i | ||||
\(381\) | −0.294229 | + | 0.169873i | −0.0150738 | + | 0.00870286i | ||||
\(382\) | 6.63397 | + | 1.77757i | 0.339424 | + | 0.0909483i | ||||
\(383\) | 8.18653 | + | 30.5526i | 0.418312 | + | 1.56116i | 0.778107 | + | 0.628131i | \(0.216180\pi\) |
−0.359795 | + | 0.933031i | \(0.617153\pi\) | |||||||
\(384\) | 5.92820 | 0.302522 | ||||||||
\(385\) | 11.5622 | − | 11.2942i | 0.589263 | − | 0.575607i | ||||
\(386\) | −4.19615 | −0.213579 | ||||||||
\(387\) | −2.83013 | − | 10.5622i | −0.143863 | − | 0.536906i | ||||
\(388\) | 14.0263 | + | 3.75833i | 0.712076 | + | 0.190800i | ||||
\(389\) | 4.26795 | − | 2.46410i | 0.216394 | − | 0.124935i | −0.387886 | − | 0.921707i | \(-0.626794\pi\) |
0.604279 | + | 0.796773i | \(0.293461\pi\) | |||||||
\(390\) | −1.66025 | − | 0.339746i | −0.0840702 | − | 0.0172037i | ||||
\(391\) | 0.535898i | 0.0271015i | ||||||||
\(392\) | 1.59808 | + | 13.4282i | 0.0807150 | + | 0.678227i | ||||
\(393\) | 5.66025 | + | 5.66025i | 0.285522 | + | 0.285522i | ||||
\(394\) | 6.41858 | + | 3.70577i | 0.323364 | + | 0.186694i | ||||
\(395\) | 7.29423 | − | 0.437822i | 0.367012 | − | 0.0220292i | ||||
\(396\) | −6.46410 | − | 11.1962i | −0.324833 | − | 0.562628i | ||||
\(397\) | −3.63397 | + | 0.973721i | −0.182384 | + | 0.0488696i | −0.348855 | − | 0.937177i | \(-0.613429\pi\) |
0.166471 | + | 0.986046i | \(0.446763\pi\) | |||||||
\(398\) | 4.05256 | − | 4.05256i | 0.203136 | − | 0.203136i | ||||
\(399\) | 0.437822 | + | 0.901924i | 0.0219185 | + | 0.0451527i | ||||
\(400\) | −7.39230 | − | 9.85641i | −0.369615 | − | 0.492820i | ||||
\(401\) | −5.50000 | + | 9.52628i | −0.274657 | + | 0.475720i | −0.970049 | − | 0.242911i | \(-0.921898\pi\) |
0.695392 | + | 0.718631i | \(0.255231\pi\) | |||||||
\(402\) | 0.767949 | − | 2.86603i | 0.0383018 | − | 0.142944i | ||||
\(403\) | −5.46410 | + | 20.3923i | −0.272186 | + | 1.01581i | ||||
\(404\) | 7.16025 | − | 12.4019i | 0.356236 | − | 0.617019i | ||||
\(405\) | −13.3205 | − | 6.66025i | −0.661901 | − | 0.330951i | ||||
\(406\) | −0.294229 | + | 4.09808i | −0.0146023 | + | 0.203384i | ||||
\(407\) | −9.46410 | + | 9.46410i | −0.469118 | + | 0.469118i | ||||
\(408\) | 3.73205 | − | 1.00000i | 0.184764 | − | 0.0495074i | ||||
\(409\) | 10.4282 | + | 18.0622i | 0.515641 | + | 0.893117i | 0.999835 | + | 0.0181564i | \(0.00577967\pi\) |
−0.484194 | + | 0.874961i | \(0.660887\pi\) | |||||||
\(410\) | 4.96410 | − | 5.59808i | 0.245160 | − | 0.276469i | ||||
\(411\) | −6.12436 | − | 3.53590i | −0.302092 | − | 0.174413i | ||||
\(412\) | 5.83013 | + | 5.83013i | 0.287230 | + | 0.287230i | ||||
\(413\) | −21.2942 | + | 4.09808i | −1.04782 | + | 0.201653i | ||||
\(414\) | − | 0.196152i | − | 0.00964037i | ||||||
\(415\) | −1.33013 | + | 6.50000i | −0.0652934 | + | 0.319072i | ||||
\(416\) | −12.5885 | + | 7.26795i | −0.617200 | + | 0.356341i | ||||
\(417\) | −2.83013 | − | 0.758330i | −0.138592 | − | 0.0371356i | ||||
\(418\) | 0.267949 | + | 1.00000i | 0.0131058 | + | 0.0489116i | ||||
\(419\) | −23.8564 | −1.16546 | −0.582731 | − | 0.812665i | \(-0.698016\pi\) | ||||
−0.582731 | + | 0.812665i | \(0.698016\pi\) | |||||||
\(420\) | 2.59808 | + | 4.62436i | 0.126773 | + | 0.225645i | ||||
\(421\) | −17.3397 | −0.845088 | −0.422544 | − | 0.906343i | \(-0.638863\pi\) | ||||
−0.422544 | + | 0.906343i | \(0.638863\pi\) | |||||||
\(422\) | 0.0262794 | + | 0.0980762i | 0.00127926 | + | 0.00477428i | ||||
\(423\) | −24.1244 | − | 6.46410i | −1.17297 | − | 0.314295i | ||||
\(424\) | 11.8301 | − | 6.83013i | 0.574522 | − | 0.331700i | ||||
\(425\) | −15.1962 | − | 11.9282i | −0.737122 | − | 0.578603i | ||||
\(426\) | 0.339746i | 0.0164607i | ||||||||
\(427\) | −3.07180 | + | 2.66025i | −0.148655 | + | 0.128739i | ||||
\(428\) | −16.0981 | − | 16.0981i | −0.778130 | − | 0.778130i | ||||
\(429\) | −3.46410 | − | 2.00000i | −0.167248 | − | 0.0965609i | ||||
\(430\) | 0.277568 | + | 4.62436i | 0.0133855 | + | 0.223006i | ||||
\(431\) | −3.09808 | − | 5.36603i | −0.149229 | − | 0.258472i | 0.781714 | − | 0.623637i | \(-0.214346\pi\) |
−0.930943 | + | 0.365165i | \(0.881013\pi\) | |||||||
\(432\) | 7.06218 | − | 1.89230i | 0.339779 | − | 0.0910436i | ||||
\(433\) | 17.5359 | − | 17.5359i | 0.842721 | − | 0.842721i | −0.146491 | − | 0.989212i | \(-0.546798\pi\) |
0.989212 | + | 0.146491i | \(0.0467978\pi\) | |||||||
\(434\) | −9.19615 | + | 4.46410i | −0.441429 | + | 0.214284i | ||||
\(435\) | 1.09808 | + | 3.29423i | 0.0526487 | + | 0.157946i | ||||
\(436\) | 8.76795 | − | 15.1865i | 0.419909 | − | 0.727303i | ||||
\(437\) | 0.0262794 | − | 0.0980762i | 0.00125712 | − | 0.00469162i | ||||
\(438\) | 0.928203 | − | 3.46410i | 0.0443513 | − | 0.165521i | ||||
\(439\) | −1.66025 | + | 2.87564i | −0.0792396 | + | 0.137247i | −0.902922 | − | 0.429804i | \(-0.858583\pi\) |
0.823682 | + | 0.567051i | \(0.191916\pi\) | |||||||
\(440\) | 3.73205 | + | 11.1962i | 0.177919 | + | 0.533756i | ||||
\(441\) | 7.09808 | + | 17.7583i | 0.338004 | + | 0.845635i | ||||
\(442\) | −4.00000 | + | 4.00000i | −0.190261 | + | 0.190261i | ||||
\(443\) | 13.0622 | − | 3.50000i | 0.620603 | − | 0.166290i | 0.0652010 | − | 0.997872i | \(-0.479231\pi\) |
0.555402 | + | 0.831582i | \(0.312564\pi\) | |||||||
\(444\) | −2.19615 | − | 3.80385i | −0.104225 | − | 0.180523i | ||||
\(445\) | 0.0884573 | + | 1.47372i | 0.00419328 | + | 0.0698611i | ||||
\(446\) | 11.4904 | + | 6.63397i | 0.544085 | + | 0.314128i | ||||
\(447\) | 0.294229 | + | 0.294229i | 0.0139165 | + | 0.0139165i | ||||
\(448\) | 5.66987 | + | 1.96410i | 0.267876 | + | 0.0927951i | ||||
\(449\) | 33.0526i | 1.55985i | 0.625875 | + | 0.779923i | \(0.284742\pi\) | ||||
−0.625875 | + | 0.779923i | \(0.715258\pi\) | |||||||
\(450\) | 5.56218 | + | 4.36603i | 0.262204 | + | 0.205816i | ||||
\(451\) | 15.2942 | − | 8.83013i | 0.720177 | − | 0.415794i | ||||
\(452\) | −18.2942 | − | 4.90192i | −0.860488 | − | 0.230567i | ||||
\(453\) | 1.85641 | + | 6.92820i | 0.0872216 | + | 0.325515i | ||||
\(454\) | 10.1962 | 0.478529 | ||||||||
\(455\) | −14.3923 | − | 8.53590i | −0.674722 | − | 0.400169i | ||||
\(456\) | −0.732051 | −0.0342814 | ||||||||
\(457\) | 3.14359 | + | 11.7321i | 0.147051 | + | 0.548802i | 0.999656 | + | 0.0262453i | \(0.00835510\pi\) |
−0.852604 | + | 0.522557i | \(0.824978\pi\) | |||||||
\(458\) | −9.19615 | − | 2.46410i | −0.429708 | − | 0.115140i | ||||
\(459\) | 9.92820 | − | 5.73205i | 0.463409 | − | 0.267549i | ||||
\(460\) | 0.107695 | − | 0.526279i | 0.00502131 | − | 0.0245379i | ||||
\(461\) | − | 5.60770i | − | 0.261176i | −0.991437 | − | 0.130588i | \(-0.958313\pi\) | ||
0.991437 | − | 0.130588i | \(-0.0416866\pi\) | |||||||
\(462\) | −0.366025 | − | 1.90192i | −0.0170290 | − | 0.0884855i | ||||
\(463\) | −4.75833 | − | 4.75833i | −0.221138 | − | 0.221138i | 0.587839 | − | 0.808978i | \(-0.299979\pi\) |
−0.808978 | + | 0.587839i | \(0.799979\pi\) | |||||||
\(464\) | 6.40192 | + | 3.69615i | 0.297202 | + | 0.171590i | ||||
\(465\) | −5.73205 | + | 6.46410i | −0.265817 | + | 0.299766i | ||||
\(466\) | −1.73205 | − | 3.00000i | −0.0802357 | − | 0.138972i | ||||
\(467\) | 13.5981 | − | 3.64359i | 0.629244 | − | 0.168605i | 0.0699173 | − | 0.997553i | \(-0.477726\pi\) |
0.559327 | + | 0.828947i | \(0.311060\pi\) | |||||||
\(468\) | −9.46410 | + | 9.46410i | −0.437478 | + | 0.437478i | ||||
\(469\) | 16.4282 | − | 24.2583i | 0.758584 | − | 1.12015i | ||||
\(470\) | 9.46410 | + | 4.73205i | 0.436546 | + | 0.218273i | ||||
\(471\) | 1.24167 | − | 2.15064i | 0.0572131 | − | 0.0990960i | ||||
\(472\) | 4.09808 | − | 15.2942i | 0.188629 | − | 0.703974i | ||||
\(473\) | −2.83013 | + | 10.5622i | −0.130129 | + | 0.485649i | ||||
\(474\) | 0.437822 | − | 0.758330i | 0.0201098 | − | 0.0348313i | ||||
\(475\) | 2.19615 | + | 2.92820i | 0.100766 | + | 0.134355i | ||||
\(476\) | 17.6603 | + | 1.26795i | 0.809456 | + | 0.0581164i | ||||
\(477\) | 13.6603 | − | 13.6603i | 0.625460 | − | 0.625460i | ||||
\(478\) | −1.19615 | + | 0.320508i | −0.0547107 | + | 0.0146597i | ||||
\(479\) | −6.53590 | − | 11.3205i | −0.298633 | − | 0.517247i | 0.677191 | − | 0.735808i | \(-0.263197\pi\) |
−0.975823 | + | 0.218560i | \(0.929864\pi\) | |||||||
\(480\) | −5.93782 | + | 0.356406i | −0.271023 | + | 0.0162677i | ||||
\(481\) | 12.0000 | + | 6.92820i | 0.547153 | + | 0.315899i | ||||
\(482\) | −9.07180 | − | 9.07180i | −0.413209 | − | 0.413209i | ||||
\(483\) | −0.0621778 | + | 0.179492i | −0.00282919 | + | 0.00816717i | ||||
\(484\) | − | 6.12436i | − | 0.278380i | ||||||
\(485\) | −18.3660 | − | 3.75833i | −0.833958 | − | 0.170657i | ||||
\(486\) | −5.53590 | + | 3.19615i | −0.251113 | + | 0.144980i | ||||
\(487\) | −27.2224 | − | 7.29423i | −1.23357 | − | 0.330533i | −0.417599 | − | 0.908631i | \(-0.637128\pi\) |
−0.815967 | + | 0.578098i | \(0.803795\pi\) | |||||||
\(488\) | −0.767949 | − | 2.86603i | −0.0347634 | − | 0.129739i | ||||
\(489\) | −7.26795 | −0.328668 | ||||||||
\(490\) | −1.43782 | − | 7.97372i | −0.0649542 | − | 0.360216i | ||||
\(491\) | 37.7128 | 1.70196 | 0.850978 | − | 0.525202i | \(-0.176010\pi\) | ||||
0.850978 | + | 0.525202i | \(0.176010\pi\) | |||||||
\(492\) | 1.50000 | + | 5.59808i | 0.0676252 | + | 0.252381i | ||||
\(493\) | 11.1962 | + | 3.00000i | 0.504249 | + | 0.135113i | ||||
\(494\) | 0.928203 | − | 0.535898i | 0.0417618 | − | 0.0241112i | ||||
\(495\) | 9.19615 | + | 13.9282i | 0.413336 | + | 0.626026i | ||||
\(496\) | 18.3923i | 0.825839i | ||||||||
\(497\) | −1.09808 | + | 3.16987i | −0.0492554 | + | 0.142188i | ||||
\(498\) | 0.562178 | + | 0.562178i | 0.0251918 | + | 0.0251918i | ||||
\(499\) | 9.97372 | + | 5.75833i | 0.446485 | + | 0.257778i | 0.706345 | − | 0.707868i | \(-0.250343\pi\) |
−0.259860 | + | 0.965646i | \(0.583676\pi\) | |||||||
\(500\) | 12.5263 | + | 14.7679i | 0.560192 | + | 0.660443i | ||||
\(501\) | 4.30385 | + | 7.45448i | 0.192282 | + | 0.333042i | ||||
\(502\) | 10.9282 | − | 2.92820i | 0.487750 | − | 0.130692i | ||||
\(503\) | 17.6340 | − | 17.6340i | 0.786260 | − | 0.786260i | −0.194619 | − | 0.980879i | \(-0.562347\pi\) |
0.980879 | + | 0.194619i | \(0.0623470\pi\) | |||||||
\(504\) | −13.9282 | − | 1.00000i | −0.620411 | − | 0.0445435i | ||||
\(505\) | −8.26795 | + | 16.5359i | −0.367919 | + | 0.735838i | ||||
\(506\) | −0.0980762 | + | 0.169873i | −0.00436002 | + | 0.00755178i | ||||
\(507\) | 0.669873 | − | 2.50000i | 0.0297501 | − | 0.111029i | ||||
\(508\) | 0.294229 | − | 1.09808i | 0.0130543 | − | 0.0487193i | ||||
\(509\) | 19.4545 | − | 33.6962i | 0.862305 | − | 1.49356i | −0.00739389 | − | 0.999973i | \(-0.502354\pi\) |
0.869699 | − | 0.493583i | \(-0.164313\pi\) | |||||||
\(510\) | −2.19615 | + | 0.732051i | −0.0972473 | + | 0.0324158i | ||||
\(511\) | 19.8564 | − | 29.3205i | 0.878396 | − | 1.29706i | ||||
\(512\) | −15.6865 | + | 15.6865i | −0.693253 | + | 0.693253i | ||||
\(513\) | −2.09808 | + | 0.562178i | −0.0926323 | + | 0.0248208i | ||||
\(514\) | 0.732051 | + | 1.26795i | 0.0322894 | + | 0.0559268i | ||||
\(515\) | −7.96410 | − | 7.06218i | −0.350940 | − | 0.311197i | ||||
\(516\) | −3.10770 | − | 1.79423i | −0.136809 | − | 0.0789865i | ||||
\(517\) | 17.6603 | + | 17.6603i | 0.776697 | + | 0.776697i | ||||
\(518\) | 1.26795 | + | 6.58846i | 0.0557105 | + | 0.289480i | ||||
\(519\) | − | 10.6795i | − | 0.468778i | ||||||
\(520\) | 10.1962 | − | 6.73205i | 0.447131 | − | 0.295220i | ||||
\(521\) | −20.6603 | + | 11.9282i | −0.905142 | + | 0.522584i | −0.878865 | − | 0.477071i | \(-0.841699\pi\) |
−0.0262772 | + | 0.999655i | \(0.508365\pi\) | |||||||
\(522\) | −4.09808 | − | 1.09808i | −0.179368 | − | 0.0480615i | ||||
\(523\) | −11.4904 | − | 42.8827i | −0.502439 | − | 1.87513i | −0.483568 | − | 0.875307i | \(-0.660659\pi\) |
−0.0188717 | − | 0.999822i | \(-0.506007\pi\) | |||||||
\(524\) | −26.7846 | −1.17009 | ||||||||
\(525\) | −3.70577 | − | 5.75833i | −0.161733 | − | 0.251314i | ||||
\(526\) | −8.12436 | −0.354239 | ||||||||
\(527\) | 7.46410 | + | 27.8564i | 0.325141 | + | 1.21344i | ||||
\(528\) | −3.36603 | − | 0.901924i | −0.146487 | − | 0.0392512i | ||||
\(529\) | −19.9019 | + | 11.4904i | −0.865301 | + | 0.499582i | ||||
\(530\) | −6.83013 | + | 4.50962i | −0.296682 | + | 0.195885i | ||||
\(531\) | − | 22.3923i | − | 0.971743i | ||||||
\(532\) | −3.16987 | − | 1.09808i | −0.137431 | − | 0.0476076i | ||||
\(533\) | −12.9282 | − | 12.9282i | −0.559983 | − | 0.559983i | ||||
\(534\) | 0.153212 | + | 0.0884573i | 0.00663015 | + | 0.00382792i | ||||
\(535\) | 21.9904 | + | 19.5000i | 0.950727 | + | 0.843059i | ||||
\(536\) | 10.6962 | + | 18.5263i | 0.462003 | + | 0.800213i | ||||
\(537\) | 3.92820 | − | 1.05256i | 0.169514 | − | 0.0454213i | ||||
\(538\) | −8.36603 | + | 8.36603i | −0.360685 | + | 0.360685i | ||||
\(539\) | 2.73205 | − | 18.9282i | 0.117678 | − | 0.815295i | ||||
\(540\) | −10.9019 | + | 3.63397i | −0.469144 | + | 0.156381i | ||||
\(541\) | −18.3564 | + | 31.7942i | −0.789204 | + | 1.36694i | 0.137252 | + | 0.990536i | \(0.456173\pi\) |
−0.926455 | + | 0.376404i | \(0.877160\pi\) | |||||||
\(542\) | 2.84936 | − | 10.6340i | 0.122391 | − | 0.456768i | ||||
\(543\) | −0.160254 | + | 0.598076i | −0.00687716 | + | 0.0256659i | ||||
\(544\) | −9.92820 | + | 17.1962i | −0.425668 | + | 0.737279i | ||||
\(545\) | −10.1244 | + | 20.2487i | −0.433680 | + | 0.867359i | ||||
\(546\) | −1.80385 | + | 0.875644i | −0.0771975 | + | 0.0374741i | ||||
\(547\) | −16.7583 | + | 16.7583i | −0.716534 | + | 0.716534i | −0.967894 | − | 0.251359i | \(-0.919122\pi\) |
0.251359 | + | 0.967894i | \(0.419122\pi\) | |||||||
\(548\) | 22.8564 | − | 6.12436i | 0.976377 | − | 0.261620i | ||||
\(549\) | −2.09808 | − | 3.63397i | −0.0895437 | − | 0.155094i | ||||
\(550\) | −2.63397 | − | 6.56218i | −0.112313 | − | 0.279812i | ||||
\(551\) | −1.90192 | − | 1.09808i | −0.0810247 | − | 0.0467796i | ||||
\(552\) | −0.0980762 | − | 0.0980762i | −0.00417440 | − | 0.00417440i | ||||
\(553\) | 6.53590 | − | 5.66025i | 0.277935 | − | 0.240698i | ||||
\(554\) | − | 2.78461i | − | 0.118307i | ||||||
\(555\) | 3.12436 | + | 4.73205i | 0.132622 | + | 0.200864i | ||||
\(556\) | 8.49038 | − | 4.90192i | 0.360072 | − | 0.207888i | ||||
\(557\) | −31.2224 | − | 8.36603i | −1.32294 | − | 0.354480i | −0.472860 | − | 0.881138i | \(-0.656778\pi\) |
−0.850077 | + | 0.526658i | \(0.823445\pi\) | |||||||
\(558\) | −2.73205 | − | 10.1962i | −0.115657 | − | 0.431638i | ||||
\(559\) | 11.3205 | 0.478806 | ||||||||
\(560\) | −14.0359 | − | 3.93782i | −0.593125 | − | 0.166403i | ||||
\(561\) | −5.46410 | −0.230695 | ||||||||
\(562\) | 0.124356 | + | 0.464102i | 0.00524563 | + | 0.0195769i | ||||
\(563\) | −23.7224 | − | 6.35641i | −0.999781 | − | 0.267891i | −0.278427 | − | 0.960457i | \(-0.589813\pi\) |
−0.721354 | + | 0.692567i | \(0.756480\pi\) | |||||||
\(564\) | −7.09808 | + | 4.09808i | −0.298883 | + | 0.172560i | ||||
\(565\) | 23.9545 | + | 4.90192i | 1.00777 | + | 0.206225i | ||||
\(566\) | 1.01924i | 0.0428418i | ||||||||
\(567\) | −17.3038 | + | 3.33013i | −0.726693 | + | 0.139852i | ||||
\(568\) | −1.73205 | − | 1.73205i | −0.0726752 | − | 0.0726752i | ||||
\(569\) | 25.0526 | + | 14.4641i | 1.05026 | + | 0.606367i | 0.922722 | − | 0.385467i | \(-0.125960\pi\) |
0.127536 | + | 0.991834i | \(0.459293\pi\) | |||||||
\(570\) | 0.437822 | − | 0.0262794i | 0.0183384 | − | 0.00110072i | ||||
\(571\) | 9.02628 | + | 15.6340i | 0.377738 | + | 0.654261i | 0.990733 | − | 0.135826i | \(-0.0433687\pi\) |
−0.612995 | + | 0.790087i | \(0.710035\pi\) | |||||||
\(572\) | 12.9282 | − | 3.46410i | 0.540555 | − | 0.144841i | ||||
\(573\) | 4.85641 | − | 4.85641i | 0.202879 | − | 0.202879i | ||||
\(574\) | 0.633975 | − | 8.83013i | 0.0264616 | − | 0.368562i | ||||
\(575\) | −0.0980762 | + | 0.686533i | −0.00409006 | + | 0.0286304i | ||||
\(576\) | −3.09808 | + | 5.36603i | −0.129087 | + | 0.223584i | ||||
\(577\) | 1.50962 | − | 5.63397i | 0.0628463 | − | 0.234545i | −0.927357 | − | 0.374177i | \(-0.877925\pi\) |
0.990204 | + | 0.139632i | \(0.0445919\pi\) | |||||||
\(578\) | 0.277568 | − | 1.03590i | 0.0115453 | − | 0.0430877i | ||||
\(579\) | −2.09808 | + | 3.63397i | −0.0871931 | + | 0.151023i | ||||
\(580\) | −10.3923 | − | 5.19615i | −0.431517 | − | 0.215758i | ||||
\(581\) | 3.42820 | + | 7.06218i | 0.142226 | + | 0.292989i | ||||
\(582\) | −1.58846 | + | 1.58846i | −0.0658437 | + | 0.0658437i | ||||
\(583\) | −18.6603 | + | 5.00000i | −0.772829 | + | 0.207079i | ||||
\(584\) | 12.9282 | + | 22.3923i | 0.534973 | + | 0.926600i | ||||
\(585\) | 11.4641 | − | 12.9282i | 0.473982 | − | 0.534515i | ||||
\(586\) | −1.51666 | − | 0.875644i | −0.0626527 | − | 0.0361725i | ||||
\(587\) | −15.7846 | − | 15.7846i | −0.651501 | − | 0.651501i | 0.301854 | − | 0.953354i | \(-0.402395\pi\) |
−0.953354 | + | 0.301854i | \(0.902395\pi\) | |||||||
\(588\) | 5.76795 | + | 2.47372i | 0.237866 | + | 0.102015i | ||||
\(589\) | − | 5.46410i | − | 0.225144i | ||||||
\(590\) | −1.90192 | + | 9.29423i | −0.0783010 | + | 0.382637i | ||||
\(591\) | 6.41858 | − | 3.70577i | 0.264025 | − | 0.152435i | ||||
\(592\) | 11.6603 | + | 3.12436i | 0.479233 | + | 0.128410i | ||||
\(593\) | 5.56218 | + | 20.7583i | 0.228411 | + | 0.852442i | 0.981009 | + | 0.193962i | \(0.0621338\pi\) |
−0.752598 | + | 0.658481i | \(0.771199\pi\) | |||||||
\(594\) | 4.19615 | 0.172170 | ||||||||
\(595\) | −22.8564 | − | 0.267949i | −0.937021 | − | 0.0109848i | ||||
\(596\) | −1.39230 | −0.0570310 | ||||||||
\(597\) | −1.48334 | − | 5.53590i | −0.0607090 | − | 0.226569i | ||||
\(598\) | 0.196152 | + | 0.0525589i | 0.00802127 | + | 0.00214929i | ||||
\(599\) | 15.3397 | − | 8.85641i | 0.626765 | − | 0.361863i | −0.152733 | − | 0.988267i | \(-0.548807\pi\) |
0.779498 | + | 0.626405i | \(0.215474\pi\) | |||||||
\(600\) | 4.96410 | − | 0.598076i | 0.202659 | − | 0.0244164i | ||||
\(601\) | − | 41.1769i | − | 1.67964i | −0.542864 | − | 0.839821i | \(-0.682660\pi\) | ||
0.542864 | − | 0.839821i | \(-0.317340\pi\) | |||||||
\(602\) | 3.58846 | + | 4.14359i | 0.146255 | + | 0.168880i | ||||
\(603\) | 21.3923 | + | 21.3923i | 0.871162 | + | 0.871162i | ||||
\(604\) | −20.7846 | − | 12.0000i | −0.845714 | − | 0.488273i | ||||
\(605\) | 0.473721 | + | 7.89230i | 0.0192595 | + | 0.320868i | ||||
\(606\) | 1.10770 | + | 1.91858i | 0.0449970 | + | 0.0779372i | ||||
\(607\) | 12.6962 | − | 3.40192i | 0.515321 | − | 0.138080i | 0.00821951 | − | 0.999966i | \(-0.497384\pi\) |
0.507101 | + | 0.861886i | \(0.330717\pi\) | |||||||
\(608\) | 2.66025 | − | 2.66025i | 0.107888 | − | 0.107888i | ||||
\(609\) | 3.40192 | + | 2.30385i | 0.137853 | + | 0.0933566i | ||||
\(610\) | 0.562178 | + | 1.68653i | 0.0227619 | + | 0.0682857i | ||||
\(611\) | 12.9282 | − | 22.3923i | 0.523019 | − | 0.905896i | ||||
\(612\) | −4.73205 | + | 17.6603i | −0.191282 | + | 0.713873i | ||||
\(613\) | −6.53590 | + | 24.3923i | −0.263982 | + | 0.985196i | 0.698888 | + | 0.715231i | \(0.253679\pi\) |
−0.962870 | + | 0.269965i | \(0.912988\pi\) | |||||||
\(614\) | −2.30385 | + | 3.99038i | −0.0929757 | + | 0.161039i | ||||
\(615\) | −2.36603 | − | 7.09808i | −0.0954074 | − | 0.286222i | ||||
\(616\) | 11.5622 | + | 7.83013i | 0.465853 | + | 0.315485i | ||||
\(617\) | 33.9090 | − | 33.9090i | 1.36512 | − | 1.36512i | 0.497874 | − | 0.867249i | \(-0.334114\pi\) |
0.867249 | − | 0.497874i | \(-0.165886\pi\) | |||||||
\(618\) | −1.23205 | + | 0.330127i | −0.0495604 | + | 0.0132797i | ||||
\(619\) | −5.09808 | − | 8.83013i | −0.204909 | − | 0.354913i | 0.745195 | − | 0.666847i | \(-0.232357\pi\) |
−0.950104 | + | 0.311934i | \(0.899023\pi\) | |||||||
\(620\) | −1.73205 | − | 28.8564i | −0.0695608 | − | 1.15890i | ||||
\(621\) | −0.356406 | − | 0.205771i | −0.0143021 | − | 0.00825732i | ||||
\(622\) | 5.58846 | + | 5.58846i | 0.224077 | + | 0.224077i | ||||
\(623\) | 1.14359 | + | 1.32051i | 0.0458171 | + | 0.0529050i | ||||
\(624\) | 3.60770i | 0.144423i | ||||||||
\(625\) | −17.2846 | − | 18.0622i | −0.691384 | − | 0.722487i | ||||
\(626\) | −2.41154 | + | 1.39230i | −0.0963846 | + | 0.0556477i | ||||
\(627\) | 1.00000 | + | 0.267949i | 0.0399362 | + | 0.0107009i | ||||
\(628\) | 2.15064 | + | 8.02628i | 0.0858197 | + | 0.320283i | ||||
\(629\) | 18.9282 | 0.754717 | ||||||||
\(630\) | 8.36603 | + | 0.0980762i | 0.333310 | + | 0.00390745i | ||||
\(631\) | −4.58846 | −0.182664 | −0.0913318 | − | 0.995821i | \(-0.529112\pi\) | ||||
−0.0913318 | + | 0.995821i | \(0.529112\pi\) | |||||||
\(632\) | 1.63397 | + | 6.09808i | 0.0649960 | + | 0.242568i | ||||
\(633\) | 0.0980762 | + | 0.0262794i | 0.00389818 | + | 0.00104451i | ||||
\(634\) | −4.26795 | + | 2.46410i | −0.169502 | + | 0.0978620i | ||||
\(635\) | −0.294229 | + | 1.43782i | −0.0116761 | + | 0.0570582i | ||||
\(636\) | − | 6.33975i | − | 0.251387i | ||||||
\(637\) | −19.6603 | + | 2.33975i | −0.778968 | + | 0.0927041i | ||||
\(638\) | 3.00000 | + | 3.00000i | 0.118771 | + | 0.118771i | ||||
\(639\) | −3.00000 | − | 1.73205i | −0.118678 | − | 0.0685189i | ||||
\(640\) | 16.9904 | − | 19.1603i | 0.671604 | − | 0.757376i | ||||
\(641\) | −5.33013 | − | 9.23205i | −0.210527 | − | 0.364644i | 0.741352 | − | 0.671116i | \(-0.234185\pi\) |
−0.951880 | + | 0.306472i | \(0.900851\pi\) | |||||||
\(642\) | 3.40192 | − | 0.911543i | 0.134263 | − | 0.0359757i | ||||
\(643\) | −17.5359 | + | 17.5359i | −0.691548 | + | 0.691548i | −0.962573 | − | 0.271024i | \(-0.912638\pi\) |
0.271024 | + | 0.962573i | \(0.412638\pi\) | |||||||
\(644\) | −0.277568 | − | 0.571797i | −0.0109377 | − | 0.0225319i | ||||
\(645\) | 4.14359 | + | 2.07180i | 0.163154 | + | 0.0815769i | ||||
\(646\) | 0.732051 | − | 1.26795i | 0.0288022 | − | 0.0498868i | ||||
\(647\) | 10.5981 | − | 39.5526i | 0.416653 | − | 1.55497i | −0.364847 | − | 0.931067i | \(-0.618879\pi\) |
0.781501 | − | 0.623904i | \(-0.214454\pi\) | |||||||
\(648\) | 3.33013 | − | 12.4282i | 0.130820 | − | 0.488226i | ||||
\(649\) | −11.1962 | + | 19.3923i | −0.439487 | + | 0.761215i | ||||
\(650\) | −5.85641 | + | 4.39230i | −0.229707 | + | 0.172280i | ||||
\(651\) | −0.732051 | + | 10.1962i | −0.0286913 | + | 0.399619i | ||||
\(652\) | 17.1962 | − | 17.1962i | 0.673453 | − | 0.673453i | ||||
\(653\) | 19.6603 | − | 5.26795i | 0.769365 | − | 0.206151i | 0.147274 | − | 0.989096i | \(-0.452950\pi\) |
0.622091 | + | 0.782945i | \(0.286283\pi\) | |||||||
\(654\) | 1.35641 | + | 2.34936i | 0.0530397 | + | 0.0918674i | ||||
\(655\) | 34.5167 | − | 2.07180i | 1.34868 | − | 0.0809518i | ||||
\(656\) | −13.7942 | − | 7.96410i | −0.538574 | − | 0.310946i | ||||
\(657\) | 25.8564 | + | 25.8564i | 1.00875 | + | 1.00875i | ||||
\(658\) | 12.2942 | − | 2.36603i | 0.479279 | − | 0.0922373i | ||||
\(659\) | 27.6603i | 1.07749i | 0.842469 | + | 0.538745i | \(0.181101\pi\) | ||||
−0.842469 | + | 0.538745i | \(0.818899\pi\) | |||||||
\(660\) | 5.36603 | + | 1.09808i | 0.208872 | + | 0.0427426i | ||||
\(661\) | −41.7224 | + | 24.0885i | −1.62281 | + | 0.936932i | −0.636652 | + | 0.771151i | \(0.719681\pi\) |
−0.986163 | + | 0.165781i | \(0.946985\pi\) | |||||||
\(662\) | −0.928203 | − | 0.248711i | −0.0360756 | − | 0.00966644i | ||||
\(663\) | 1.46410 | + | 5.46410i | 0.0568610 | + | 0.212208i | ||||
\(664\) | −5.73205 | −0.222447 | ||||||||
\(665\) | 4.16987 | + | 1.16987i | 0.161701 | + | 0.0453657i | ||||
\(666\) | −6.92820 | −0.268462 | ||||||||
\(667\) | −0.107695 | − | 0.401924i | −0.00416997 | − | 0.0155626i | ||||
\(668\) | −27.8205 | − | 7.45448i | −1.07641 | − | 0.288423i | ||||
\(669\) | 11.4904 | − | 6.63397i | 0.444244 | − | 0.256484i | ||||
\(670\) | −7.06218 | − | 10.6962i | −0.272836 | − | 0.413228i | ||||
\(671\) | 4.19615i | 0.161991i | ||||||||
\(672\) | −5.32051 | + | 4.60770i | −0.205243 | + | 0.177746i | ||||
\(673\) | 4.39230 | + | 4.39230i | 0.169311 | + | 0.169311i | 0.786676 | − | 0.617366i | \(-0.211800\pi\) |
−0.617366 | + | 0.786676i | \(0.711800\pi\) | |||||||
\(674\) | −6.04552 | − | 3.49038i | −0.232865 | − | 0.134444i | ||||
\(675\) | 13.7679 | − | 5.52628i | 0.529929 | − | 0.212707i | ||||
\(676\) | 4.33013 | + | 7.50000i | 0.166543 | + | 0.288462i | ||||
\(677\) | −25.8564 | + | 6.92820i | −0.993742 | + | 0.266272i | −0.718822 | − | 0.695194i | \(-0.755318\pi\) |
−0.274921 | + | 0.961467i | \(0.588652\pi\) | |||||||
\(678\) | 2.07180 | − | 2.07180i | 0.0795669 | − | 0.0795669i | ||||
\(679\) | −19.9545 | + | 9.68653i | −0.765783 | + | 0.371735i | ||||
\(680\) | 7.46410 | − | 14.9282i | 0.286235 | − | 0.572470i | ||||
\(681\) | 5.09808 | − | 8.83013i | 0.195359 | − | 0.338371i | ||||
\(682\) | −2.73205 | + | 10.1962i | −0.104616 | + | 0.390431i | ||||
\(683\) | −4.57180 | + | 17.0622i | −0.174935 | + | 0.652866i | 0.821628 | + | 0.570024i | \(0.193066\pi\) |
−0.996563 | + | 0.0828417i | \(0.973600\pi\) | |||||||
\(684\) | 1.73205 | − | 3.00000i | 0.0662266 | − | 0.114708i | ||||
\(685\) | −28.9808 | + | 9.66025i | −1.10730 | + | 0.369099i | ||||
\(686\) | −7.08846 | − | 6.45448i | −0.270639 | − | 0.246433i | ||||
\(687\) | −6.73205 | + | 6.73205i | −0.256844 | + | 0.256844i | ||||
\(688\) | 9.52628 | − | 2.55256i | 0.363186 | − | 0.0973154i | ||||
\(689\) | 10.0000 | + | 17.3205i | 0.380970 | + | 0.659859i | ||||
\(690\) | 0.0621778 | + | 0.0551363i | 0.00236707 | + | 0.00209900i | ||||
\(691\) | −44.0263 | − | 25.4186i | −1.67484 | − | 0.966969i | −0.964867 | − | 0.262738i | \(-0.915375\pi\) |
−0.709971 | − | 0.704231i | \(-0.751292\pi\) | |||||||
\(692\) | 25.2679 | + | 25.2679i | 0.960543 | + | 0.960543i | ||||
\(693\) | 18.6603 | + | 6.46410i | 0.708844 | + | 0.245551i | ||||
\(694\) | − | 15.5885i | − | 0.591730i | ||||||
\(695\) | −10.5622 | + | 6.97372i | −0.400646 | + | 0.264528i | ||||
\(696\) | −2.59808 | + | 1.50000i | −0.0984798 | + | 0.0568574i | ||||
\(697\) | −24.1244 | − | 6.46410i | −0.913775 | − | 0.244845i | ||||
\(698\) | 0.839746 | + | 3.13397i | 0.0317849 | + | 0.118623i | ||||
\(699\) | −3.46410 | −0.131024 | ||||||||
\(700\) | 22.3923 | + | 4.85641i | 0.846350 | + | 0.183555i | ||||
\(701\) | −20.2679 | −0.765510 | −0.382755 | − | 0.923850i | \(-0.625025\pi\) | ||||
−0.382755 | + | 0.923850i | \(0.625025\pi\) | |||||||
\(702\) | −1.12436 | − | 4.19615i | −0.0424361 | − | 0.158374i | ||||
\(703\) | −3.46410 | − | 0.928203i | −0.130651 | − | 0.0350078i | ||||
\(704\) | 5.36603 | − | 3.09808i | 0.202240 | − | 0.116763i | ||||
\(705\) | 8.83013 | − | 5.83013i | 0.332562 | − | 0.219575i | ||||
\(706\) | − | 7.26795i | − | 0.273533i | ||||||
\(707\) | 4.13397 | + | 21.4808i | 0.155474 | + | 0.807867i | ||||
\(708\) | −5.19615 | − | 5.19615i | −0.195283 | − | 0.195283i | ||||
\(709\) | −18.9904 | − | 10.9641i | −0.713199 | − | 0.411765i | 0.0990456 | − | 0.995083i | \(-0.468421\pi\) |
−0.812244 | + | 0.583317i | \(0.801754\pi\) | |||||||
\(710\) | 1.09808 | + | 0.973721i | 0.0412101 | + | 0.0365431i | ||||
\(711\) | 4.46410 | + | 7.73205i | 0.167417 | + | 0.289975i | ||||
\(712\) | −1.23205 | + | 0.330127i | −0.0461731 | + | 0.0123720i | ||||
\(713\) | 0.732051 | − | 0.732051i | 0.0274155 | − | 0.0274155i | ||||
\(714\) | −1.53590 | + | 2.26795i | −0.0574796 | + | 0.0848759i | ||||
\(715\) | −16.3923 | + | 5.46410i | −0.613037 | + | 0.204346i | ||||
\(716\) | −6.80385 | + | 11.7846i | −0.254272 | + | 0.440412i | ||||
\(717\) | −0.320508 | + | 1.19615i | −0.0119696 | + | 0.0446711i | ||||
\(718\) | −4.58846 | + | 17.1244i | −0.171240 | + | 0.639075i | ||||
\(719\) | −19.2942 | + | 33.4186i | −0.719553 | + | 1.24630i | 0.241624 | + | 0.970370i | \(0.422320\pi\) |
−0.961177 | + | 0.275933i | \(0.911013\pi\) | |||||||
\(720\) | 6.73205 | − | 13.4641i | 0.250889 | − | 0.501777i | ||||
\(721\) | −12.5622 | − | 0.901924i | −0.467840 | − | 0.0335894i | ||||
\(722\) | 6.75833 | − | 6.75833i | 0.251519 | − | 0.251519i | ||||
\(723\) | −12.3923 | + | 3.32051i | −0.460875 | + | 0.123491i | ||||
\(724\) | −1.03590 | − | 1.79423i | −0.0384989 | − | 0.0666820i | ||||
\(725\) | 13.7942 | + | 5.89230i | 0.512305 | + | 0.218835i | ||||
\(726\) | 0.820508 | + | 0.473721i | 0.0304519 | + | 0.0175814i | ||||
\(727\) | 10.0981 | + | 10.0981i | 0.374517 | + | 0.374517i | 0.869119 | − | 0.494602i | \(-0.164686\pi\) |
−0.494602 | + | 0.869119i | \(0.664686\pi\) | |||||||
\(728\) | 4.73205 | − | 13.6603i | 0.175381 | − | 0.506283i | ||||
\(729\) | − | 13.5885i | − | 0.503276i | ||||||
\(730\) | −8.53590 | − | 12.9282i | −0.315928 | − | 0.478494i | ||||
\(731\) | 13.3923 | − | 7.73205i | 0.495332 | − | 0.285980i | ||||
\(732\) | −1.33013 | − | 0.356406i | −0.0491629 | − | 0.0131732i | ||||
\(733\) | −1.16987 | − | 4.36603i | −0.0432102 | − | 0.161263i | 0.940949 | − | 0.338547i | \(-0.109935\pi\) |
−0.984160 | + | 0.177284i | \(0.943269\pi\) | |||||||
\(734\) | −0.267949 | −0.00989019 | ||||||||
\(735\) | −7.62436 | − | 2.74167i | −0.281229 | − | 0.101128i | ||||
\(736\) | 0.712813 | 0.0262746 | ||||||||
\(737\) | −7.83013 | − | 29.2224i | −0.288426 | − | 1.07642i | ||||
\(738\) | 8.83013 | + | 2.36603i | 0.325041 | + | 0.0870946i | ||||
\(739\) | 19.5622 | − | 11.2942i | 0.719606 | − | 0.415465i | −0.0950014 | − | 0.995477i | \(-0.530286\pi\) |
0.814608 | + | 0.580012i | \(0.196952\pi\) | |||||||
\(740\) | −18.5885 | − | 3.80385i | −0.683325 | − | 0.139832i | ||||
\(741\) | − | 1.07180i | − | 0.0393734i | ||||||
\(742\) | −3.16987 | + | 9.15064i | −0.116370 | + | 0.335930i | ||||
\(743\) | −6.16987 | − | 6.16987i | −0.226351 | − | 0.226351i | 0.584816 | − | 0.811166i | \(-0.301167\pi\) |
−0.811166 | + | 0.584816i | \(0.801167\pi\) | |||||||
\(744\) | −6.46410 | − | 3.73205i | −0.236985 | − | 0.136824i | ||||
\(745\) | 1.79423 | − | 0.107695i | 0.0657355 | − | 0.00394565i | ||||
\(746\) | 2.07180 | + | 3.58846i | 0.0758539 | + | 0.131383i | ||||
\(747\) | −7.83013 | + | 2.09808i | −0.286489 | + | 0.0767646i | ||||
\(748\) | 12.9282 | − | 12.9282i | 0.472702 | − | 0.472702i | ||||
\(749\) | 34.6865 | + | 2.49038i | 1.26742 | + | 0.0909965i | ||||
\(750\) | −2.94744 | + | 0.535898i | −0.107625 | + | 0.0195682i | ||||
\(751\) | 3.19615 | − | 5.53590i | 0.116629 | − | 0.202008i | −0.801801 | − | 0.597592i | \(-0.796124\pi\) |
0.918430 | + | 0.395584i | \(0.129458\pi\) | |||||||
\(752\) | 5.83013 | − | 21.7583i | 0.212603 | − | 0.793445i | ||||
\(753\) | 2.92820 | − | 10.9282i | 0.106710 | − | 0.398246i | ||||
\(754\) | 2.19615 | − | 3.80385i | 0.0799792 | − | 0.138528i | ||||
\(755\) | 27.7128 | + | 13.8564i | 1.00857 | + | 0.504286i | ||||
\(756\) | −7.62436 | + | 11.2583i | −0.277295 | + | 0.409462i | ||||
\(757\) | 12.7321 | − | 12.7321i | 0.462754 | − | 0.462754i | −0.436803 | − | 0.899557i | \(-0.643889\pi\) |
0.899557 | + | 0.436803i | \(0.143889\pi\) | |||||||
\(758\) | −1.16987 | + | 0.313467i | −0.0424917 | + | 0.0113856i | ||||
\(759\) | 0.0980762 | + | 0.169873i | 0.00355994 | + | 0.00616600i | ||||
\(760\) | −2.09808 | + | 2.36603i | −0.0761052 | + | 0.0858248i | ||||
\(761\) | 24.9282 | + | 14.3923i | 0.903647 | + | 0.521721i | 0.878382 | − | 0.477960i | \(-0.158624\pi\) |
0.0252651 | + | 0.999681i | \(0.491957\pi\) | |||||||
\(762\) | 0.124356 | + | 0.124356i | 0.00450493 | + | 0.00450493i | ||||
\(763\) | 5.06218 | + | 26.3038i | 0.183263 | + | 0.952263i | ||||
\(764\) | 22.9808i | 0.831415i | ||||||||
\(765\) | 4.73205 | − | 23.1244i | 0.171088 | − | 0.836063i | ||||
\(766\) | 14.1795 | − | 8.18653i | 0.512326 | − | 0.295791i | ||||
\(767\) | 22.3923 | + | 6.00000i | 0.808539 | + | 0.216647i | ||||
\(768\) | −0.186533 | − | 0.696152i | −0.00673095 | − | 0.0251202i | ||||
\(769\) | −15.1769 | −0.547294 | −0.273647 | − | 0.961830i | \(-0.588230\pi\) | ||||
−0.273647 | + | 0.961830i | \(0.588230\pi\) | |||||||
\(770\) | −7.19615 | − | 4.26795i | −0.259331 | − | 0.153806i | ||||
\(771\) | 1.46410 | 0.0527283 | ||||||||
\(772\) | −3.63397 | − | 13.5622i | −0.130790 | − | 0.488113i | ||||
\(773\) | 15.1962 | + | 4.07180i | 0.546568 | + | 0.146452i | 0.521528 | − | 0.853234i | \(-0.325362\pi\) |
0.0250395 | + | 0.999686i | \(0.492029\pi\) | |||||||
\(774\) | −4.90192 | + | 2.83013i | −0.176196 | + | 0.101727i | ||||
\(775\) | 4.46410 | + | 37.0526i | 0.160355 | + | 1.33097i | ||||
\(776\) | − | 16.1962i | − | 0.581408i | ||||||
\(777\) | 6.33975 | + | 2.19615i | 0.227437 | + | 0.0787865i | ||||
\(778\) | −1.80385 | − | 1.80385i | −0.0646711 | − | 0.0646711i | ||||
\(779\) | 4.09808 | + | 2.36603i | 0.146829 | + | 0.0847717i | ||||
\(780\) | −0.339746 | − | 5.66025i | −0.0121649 | − | 0.202670i | ||||
\(781\) | 1.73205 | + | 3.00000i | 0.0619777 | + | 0.107348i | ||||
\(782\) | 0.267949 | − | 0.0717968i | 0.00958184 | − | 0.00256745i | ||||
\(783\) | −6.29423 | + | 6.29423i | −0.224937 | + | 0.224937i | ||||
\(784\) | −16.0167 | + | 6.40192i | −0.572024 | + | 0.228640i | ||||
\(785\) | −3.39230 | − | 10.1769i | −0.121077 | − | 0.363230i | ||||
\(786\) | 2.07180 | − | 3.58846i | 0.0738985 | − | 0.127996i | ||||
\(787\) | 8.35641 | − | 31.1865i | 0.297874 | − | 1.11168i | −0.641034 | − | 0.767512i | \(-0.721494\pi\) |
0.938908 | − | 0.344168i | \(-0.111839\pi\) | |||||||
\(788\) | −6.41858 | + | 23.9545i | −0.228653 | + | 0.853343i | ||||
\(789\) | −4.06218 | + | 7.03590i | −0.144617 | + | 0.250485i | ||||
\(790\) | −1.19615 | − | 3.58846i | −0.0425572 | − | 0.127672i | ||||
\(791\) | 26.0263 | − | 12.6340i | 0.925388 | − | 0.449212i | ||||
\(792\) | −10.1962 | + | 10.1962i | −0.362305 | + | 0.362305i | ||||
\(793\) | 4.19615 | − | 1.12436i | 0.149010 | − | 0.0399270i | ||||
\(794\) | 0.973721 | + | 1.68653i | 0.0345560 | + | 0.0598528i | ||||
\(795\) | 0.490381 | + | 8.16987i | 0.0173920 | + | 0.289756i | ||||
\(796\) | 16.6077 | + | 9.58846i | 0.588644 | + | 0.339854i | ||||
\(797\) | −22.5359 | − | 22.5359i | −0.798262 | − | 0.798262i | 0.184559 | − | 0.982821i | \(-0.440914\pi\) |
−0.982821 | + | 0.184559i | \(0.940914\pi\) | |||||||
\(798\) | 0.392305 | − | 0.339746i | 0.0138874 | − | 0.0120269i | ||||
\(799\) | − | 35.3205i | − | 1.24955i | ||||||
\(800\) | −15.8660 | + | 20.2128i | −0.560949 | + | 0.714631i | ||||
\(801\) | −1.56218 | + | 0.901924i | −0.0551968 | + | 0.0318679i | ||||
\(802\) | 5.50000 | + | 1.47372i | 0.194212 | + | 0.0520389i | ||||
\(803\) | −9.46410 | − | 35.3205i | −0.333981 | − | 1.24643i | ||||
\(804\) | 9.92820 | 0.350141 | ||||||||
\(805\) | 0.401924 | + | 0.715390i | 0.0141660 | + | 0.0252142i | ||||
\(806\) | 10.9282 | 0.384930 | ||||||||
\(807\) | 3.06218 | + | 11.4282i | 0.107794 | + | 0.402292i | ||||
\(808\) | −15.4282 | − | 4.13397i | −0.542762 | − | 0.145433i | ||||
\(809\) | 3.99038 | − | 2.30385i | 0.140294 | − | 0.0809990i | −0.428210 | − | 0.903679i | \(-0.640856\pi\) |
0.568504 | + | 0.822680i | \(0.307522\pi\) | |||||||
\(810\) | −1.54552 | + | 7.55256i | −0.0543039 | + | 0.265370i | ||||
\(811\) | 42.9282i | 1.50741i | 0.657211 | + | 0.753707i | \(0.271736\pi\) | ||||
−0.657211 | + | 0.753707i | \(0.728264\pi\) | |||||||
\(812\) | −13.5000 | + | 2.59808i | −0.473757 | + | 0.0911746i | ||||
\(813\) | −7.78461 | − | 7.78461i | −0.273018 | − | 0.273018i | ||||
\(814\) | 6.00000 | + | 3.46410i | 0.210300 | + | 0.121417i | ||||
\(815\) | −20.8301 | + | 23.4904i | −0.729648 | + | 0.822832i | ||||
\(816\) | 2.46410 | + | 4.26795i | 0.0862608 | + | 0.149408i | ||||
\(817\) | −2.83013 | + | 0.758330i | −0.0990136 | + | 0.0265306i | ||||
\(818\) | 7.63397 | − | 7.63397i | 0.266916 | − | 0.266916i | ||||
\(819\) | 1.46410 | − | 20.3923i | 0.0511599 | − | 0.712565i | ||||
\(820\) | 22.3923 | + | 11.1962i | 0.781973 | + | 0.390987i | ||||
\(821\) | 24.6603 | − | 42.7128i | 0.860649 | − | 1.49069i | −0.0106549 | − | 0.999943i | \(-0.503392\pi\) |
0.871304 | − | 0.490744i | \(-0.163275\pi\) | |||||||
\(822\) | −0.947441 | + | 3.53590i | −0.0330458 | + | 0.123329i | ||||
\(823\) | 14.3038 | − | 53.3827i | 0.498601 | − | 1.86080i | −0.0102479 | − | 0.999947i | \(-0.503262\pi\) |
0.508849 | − | 0.860856i | \(-0.330071\pi\) | |||||||
\(824\) | 4.59808 | − | 7.96410i | 0.160182 | − | 0.277443i | ||||
\(825\) | −7.00000 | − | 1.00000i | −0.243709 | − | 0.0348155i | ||||
\(826\) | 4.90192 | + | 10.0981i | 0.170560 | + | 0.351357i | ||||
\(827\) | −33.2224 | + | 33.2224i | −1.15526 | + | 1.15526i | −0.169774 | + | 0.985483i | \(0.554304\pi\) |
−0.985483 | + | 0.169774i | \(0.945696\pi\) | |||||||
\(828\) | 0.633975 | − | 0.169873i | 0.0220321 | − | 0.00590349i | ||||
\(829\) | 7.26795 | + | 12.5885i | 0.252426 | + | 0.437215i | 0.964193 | − | 0.265200i | \(-0.0854381\pi\) |
−0.711767 | + | 0.702416i | \(0.752105\pi\) | |||||||
\(830\) | 3.42820 | − | 0.205771i | 0.118995 | − | 0.00714243i | ||||
\(831\) | −2.41154 | − | 1.39230i | −0.0836555 | − | 0.0482985i | ||||
\(832\) | −4.53590 | − | 4.53590i | −0.157254 | − | 0.157254i | ||||
\(833\) | −21.6603 | + | 16.1962i | −0.750483 | + | 0.561163i | ||||
\(834\) | 1.51666i | 0.0525177i | ||||||||
\(835\) | 36.4282 | + | 7.45448i | 1.26065 | + | 0.257973i | ||||
\(836\) | −3.00000 | + | 1.73205i | −0.103757 | + | 0.0599042i | ||||
\(837\) | −21.3923 | − | 5.73205i | −0.739426 | − | 0.198129i | ||||
\(838\) | 3.19615 | + | 11.9282i | 0.110409 | + | 0.412053i | ||||
\(839\) | −6.87564 | −0.237374 | −0.118687 | − | 0.992932i | \(-0.537868\pi\) | ||||
−0.118687 | + | 0.992932i | \(0.537868\pi\) | |||||||
\(840\) | 4.23205 | − | 4.13397i | 0.146020 | − | 0.142636i | ||||
\(841\) | 20.0000 | 0.689655 | ||||||||
\(842\) | 2.32309 | + | 8.66987i | 0.0800588 | + | 0.298784i | ||||
\(843\) | 0.464102 | + | 0.124356i | 0.0159845 | + | 0.00428304i | ||||
\(844\) | −0.294229 | + | 0.169873i | −0.0101278 | + | 0.00584727i | ||||
\(845\) | −6.16025 | − | 9.33013i | −0.211919 | − | 0.320966i | ||||
\(846\) | 12.9282i | 0.444481i | ||||||||
\(847\) | 6.12436 | + | 7.07180i | 0.210435 | + | 0.242990i | ||||
\(848\) | 12.3205 | + | 12.3205i | 0.423088 | + | 0.423088i | ||||
\(849\) | 0.882686 | + | 0.509619i | 0.0302937 | + | 0.0174901i | ||||
\(850\) | −3.92820 | + | 9.19615i | −0.134736 | + | 0.315425i | ||||
\(851\) | −0.339746 | − | 0.588457i | −0.0116463 | − | 0.0201721i | ||||
\(852\) | −1.09808 | + | 0.294229i | −0.0376195 | + | 0.0100801i | ||||
\(853\) | 18.1244 | − | 18.1244i | 0.620566 | − | 0.620566i | −0.325110 | − | 0.945676i | \(-0.605401\pi\) |
0.945676 | + | 0.325110i | \(0.105401\pi\) | |||||||
\(854\) | 1.74167 | + | 1.17949i | 0.0595987 | + | 0.0403614i | ||||
\(855\) | −2.00000 | + | 4.00000i | −0.0683986 | + | 0.136797i | ||||
\(856\) | −12.6962 | + | 21.9904i | −0.433946 | + | 0.751616i | ||||
\(857\) | −2.97372 | + | 11.0981i | −0.101580 | + | 0.379103i | −0.997935 | − | 0.0642351i | \(-0.979539\pi\) |
0.896354 | + | 0.443338i | \(0.146206\pi\) | |||||||
\(858\) | −0.535898 | + | 2.00000i | −0.0182953 | + | 0.0682789i | ||||
\(859\) | 17.4641 | − | 30.2487i | 0.595867 | − | 1.03207i | −0.397556 | − | 0.917578i | \(-0.630142\pi\) |
0.993424 | − | 0.114495i | \(-0.0365250\pi\) | |||||||
\(860\) | −14.7058 | + | 4.90192i | −0.501463 | + | 0.167154i | ||||
\(861\) | −7.33013 | − | 4.96410i | −0.249810 | − | 0.169176i | ||||
\(862\) | −2.26795 | + | 2.26795i | −0.0772467 | + | 0.0772467i | ||||
\(863\) | −49.9449 | + | 13.3827i | −1.70014 | + | 0.455552i | −0.972976 | − | 0.230908i | \(-0.925830\pi\) |
−0.727167 | + | 0.686460i | \(0.759164\pi\) | |||||||
\(864\) | −7.62436 | − | 13.2058i | −0.259386 | − | 0.449269i | ||||
\(865\) | −34.5167 | − | 30.6077i | −1.17360 | − | 1.04069i | ||||
\(866\) | −11.1173 | − | 6.41858i | −0.377782 | − | 0.218112i | ||||
\(867\) | −0.758330 | − | 0.758330i | −0.0257542 | − | 0.0257542i | ||||
\(868\) | −22.3923 | − | 25.8564i | −0.760044 | − | 0.877624i | ||||
\(869\) | − | 8.92820i | − | 0.302869i | ||||||
\(870\) | 1.50000 | − | 0.990381i | 0.0508548 | − | 0.0335771i | ||||
\(871\) | −27.1244 | + | 15.6603i | −0.919074 | + | 0.530627i | ||||
\(872\) | −18.8923 | − | 5.06218i | −0.639774 | − | 0.171427i | ||||
\(873\) | −5.92820 | − | 22.1244i | −0.200639 | − | 0.748796i | ||||
\(874\) | −0.0525589 | −0.00177783 | ||||||||
\(875\) | −29.2321 | − | 4.52628i | −0.988224 | − | 0.153016i | ||||
\(876\) | 12.0000 | 0.405442 | ||||||||
\(877\) | 10.4904 | + | 39.1506i | 0.354235 | + | 1.32202i | 0.881444 | + | 0.472288i | \(0.156572\pi\) |
−0.527209 | + | 0.849735i | \(0.676762\pi\) | |||||||
\(878\) | 1.66025 | + | 0.444864i | 0.0560309 | + | 0.0150134i | ||||
\(879\) | −1.51666 | + | 0.875644i | −0.0511557 | + | 0.0295348i | ||||
\(880\) | −12.5622 | + | 8.29423i | −0.423471 | + | 0.279598i | ||||
\(881\) | 25.1436i | 0.847109i | 0.905871 | + | 0.423555i | \(0.139218\pi\) | ||||
−0.905871 | + | 0.423555i | \(0.860782\pi\) | |||||||
\(882\) | 7.92820 | − | 5.92820i | 0.266956 | − | 0.199613i | ||||
\(883\) | 8.07180 | + | 8.07180i | 0.271638 | + | 0.271638i | 0.829759 | − | 0.558122i | \(-0.188478\pi\) |
−0.558122 | + | 0.829759i | \(0.688478\pi\) | |||||||
\(884\) | −16.3923 | − | 9.46410i | −0.551333 | − | 0.318312i | ||||
\(885\) | 7.09808 | + | 6.29423i | 0.238599 | + | 0.211578i | ||||
\(886\) | −3.50000 | − | 6.06218i | −0.117585 | − | 0.203663i | ||||
\(887\) | 10.8923 | − | 2.91858i | 0.365728 | − | 0.0979965i | −0.0712748 | − | 0.997457i | \(-0.522707\pi\) |
0.437003 | + | 0.899460i | \(0.356040\pi\) | |||||||
\(888\) | −3.46410 | + | 3.46410i | −0.116248 | + | 0.116248i | ||||
\(889\) | 0.758330 | + | 1.56218i | 0.0254336 | + | 0.0523938i | ||||
\(890\) | 0.725009 | − | 0.241670i | 0.0243024 | − | 0.00810079i | ||||
\(891\) | −9.09808 | + | 15.7583i | −0.304797 | + | 0.527924i | ||||
\(892\) | −11.4904 | + | 42.8827i | −0.384726 | + | 1.43582i | ||||
\(893\) | −1.73205 | + | 6.46410i | −0.0579609 | + | 0.216313i | ||||
\(894\) | 0.107695 | − | 0.186533i | 0.00360186 | − | 0.00623861i | ||||
\(895\) | 7.85641 | − | 15.7128i | 0.262611 | − | 0.525221i | ||||
\(896\) | 2.16987 | − | 30.2224i | 0.0724904 | − | 1.00966i | ||||
\(897\) | 0.143594 | − | 0.143594i | 0.00479445 | − | 0.00479445i | ||||
\(898\) | 16.5263 | − | 4.42820i | 0.551489 | − | 0.147771i | ||||
\(899\) | −11.1962 | − | 19.3923i | −0.373413 | − | 0.646770i | ||||
\(900\) | −9.29423 | + | 21.7583i | −0.309808 | + | 0.725278i | ||||
\(901\) | 23.6603 | + | 13.6603i | 0.788237 | + | 0.455089i | ||||
\(902\) | −6.46410 | − | 6.46410i | −0.215231 | − | 0.215231i | ||||
\(903\) | 5.38269 | − | 1.03590i | 0.179125 | − | 0.0344725i | ||||
\(904\) | 21.1244i | 0.702586i | ||||||||
\(905\) | 1.47372 | + | 2.23205i | 0.0489881 | + | 0.0741959i | ||||
\(906\) | 3.21539 | − | 1.85641i | 0.106824 | − | 0.0616750i | ||||
\(907\) | 32.4545 | + | 8.69615i | 1.07763 | + | 0.288751i | 0.753626 | − | 0.657304i | \(-0.228303\pi\) |
0.324007 | + | 0.946055i | \(0.394970\pi\) | |||||||
\(908\) | 8.83013 | + | 32.9545i | 0.293038 | + | 1.09363i | ||||
\(909\) | −22.5885 | −0.749212 | ||||||||
\(910\) | −2.33975 | + | 8.33975i | −0.0775618 | + | 0.276460i | ||||
\(911\) | −7.51666 | −0.249038 | −0.124519 | − | 0.992217i | \(-0.539739\pi\) | ||||
−0.124519 | + | 0.992217i | \(0.539739\pi\) | |||||||
\(912\) | −0.241670 | − | 0.901924i | −0.00800249 | − | 0.0298657i | ||||
\(913\) | 7.83013 | + | 2.09808i | 0.259139 | + | 0.0694362i | ||||
\(914\) | 5.44486 | − | 3.14359i | 0.180100 | − | 0.103981i | ||||
\(915\) | 1.74167 | + | 0.356406i | 0.0575778 | + | 0.0117824i | ||||
\(916\) | − | 31.8564i | − | 1.05257i | ||||||
\(917\) | 30.9282 | − | 26.7846i | 1.02134 | − | 0.884506i | ||||
\(918\) | −4.19615 | − | 4.19615i | −0.138494 | − | 0.138494i | ||||
\(919\) | 48.6673 | + | 28.0981i | 1.60539 | + | 0.926870i | 0.990384 | + | 0.138344i | \(0.0441780\pi\) |
0.615002 | + | 0.788526i | \(0.289155\pi\) | |||||||
\(920\) | −0.598076 | + | 0.0358984i | −0.0197180 | + | 0.00118353i | ||||
\(921\) | 2.30385 | + | 3.99038i | 0.0759144 | + | 0.131488i | ||||
\(922\) | −2.80385 | + | 0.751289i | −0.0923398 | + | 0.0247424i | ||||
\(923\) | 2.53590 | − | 2.53590i | 0.0834701 | − | 0.0834701i | ||||
\(924\) | 5.83013 | − | 2.83013i | 0.191797 | − | 0.0931043i | ||||
\(925\) | 24.2487 | + | 3.46410i | 0.797293 | + | 0.113899i | ||||
\(926\) | −1.74167 | + | 3.01666i | −0.0572348 | + | 0.0991336i | ||||
\(927\) | 3.36603 | − | 12.5622i | 0.110555 | − | 0.412596i | ||||
\(928\) | 3.99038 | − | 14.8923i | 0.130991 | − | 0.488864i | ||||
\(929\) | 18.1603 | − | 31.4545i | 0.595819 | − | 1.03199i | −0.397612 | − | 0.917554i | \(-0.630161\pi\) |
0.993431 | − | 0.114435i | \(-0.0365056\pi\) | |||||||
\(930\) | 4.00000 | + | 2.00000i | 0.131165 | + | 0.0655826i | ||||
\(931\) | 4.75833 | − | 1.90192i | 0.155948 | − | 0.0623330i | ||||
\(932\) | 8.19615 | − | 8.19615i | 0.268474 | − | 0.268474i | ||||
\(933\) | 7.63397 | − | 2.04552i | 0.249925 | − | 0.0669672i | ||||
\(934\) | −3.64359 | − | 6.31089i | −0.119222 | − | 0.206499i | ||||
\(935\) | −15.6603 | + | 17.6603i | −0.512145 | + | 0.577552i | ||||
\(936\) | 12.9282 | + | 7.46410i | 0.422572 | + | 0.243972i | ||||
\(937\) | −17.0718 | − | 17.0718i | −0.557711 | − | 0.557711i | 0.370944 | − | 0.928655i | \(-0.379034\pi\) |
−0.928655 | + | 0.370944i | \(0.879034\pi\) | |||||||
\(938\) | −14.3301 | − | 4.96410i | −0.467895 | − | 0.162084i | ||||
\(939\) | 2.78461i | 0.0908723i | ||||||||
\(940\) | −7.09808 | + | 34.6865i | −0.231514 | + | 1.13135i | ||||
\(941\) | 35.1962 | − | 20.3205i | 1.14736 | − | 0.662430i | 0.199119 | − | 0.979975i | \(-0.436192\pi\) |
0.948243 | + | 0.317546i | \(0.102859\pi\) | |||||||
\(942\) | −1.24167 | − | 0.332704i | −0.0404558 | − | 0.0108401i | ||||
\(943\) | 0.232051 | + | 0.866025i | 0.00755661 | + | 0.0282017i | ||||
\(944\) | 20.1962 | 0.657329 | ||||||||
\(945\) | 8.95448 | − | 15.0981i | 0.291289 | − | 0.491140i | ||||
\(946\) | 5.66025 | 0.184031 | ||||||||
\(947\) | 0.349365 | + | 1.30385i | 0.0113528 | + | 0.0423694i | 0.971370 | − | 0.237572i | \(-0.0763516\pi\) |
−0.960017 | + | 0.279941i | \(0.909685\pi\) | |||||||
\(948\) | 2.83013 | + | 0.758330i | 0.0919183 | + | 0.0246294i | ||||
\(949\) | −32.7846 | + | 18.9282i | −1.06423 | + | 0.614435i | ||||
\(950\) | 1.16987 | − | 1.49038i | 0.0379557 | − | 0.0483543i | ||||
\(951\) | 4.92820i | 0.159808i | ||||||||
\(952\) | −3.73205 | − | 19.3923i | −0.120956 | − | 0.628508i | ||||
\(953\) | −37.8564 | − | 37.8564i | −1.22629 | − | 1.22629i | −0.965357 | − | 0.260932i | \(-0.915970\pi\) |
−0.260932 | − | 0.965357i | \(-0.584030\pi\) | |||||||
\(954\) | −8.66025 | − | 5.00000i | −0.280386 | − | 0.161881i | ||||
\(955\) | −1.77757 | − | 29.6147i | −0.0575208 | − | 0.958310i | ||||
\(956\) | −2.07180 | − | 3.58846i | −0.0670067 | − | 0.116059i | ||||
\(957\) | 4.09808 | − | 1.09808i | 0.132472 | − | 0.0354958i | ||||
\(958\) | −4.78461 | + | 4.78461i | −0.154584 | + | 0.154584i | ||||
\(959\) | −20.2679 | + | 29.9282i | −0.654486 | + | 0.966432i | ||||
\(960\) | −0.830127 | − | 2.49038i | −0.0267922 | − | 0.0803767i | ||||
\(961\) | 12.3564 | − | 21.4019i | 0.398594 | − | 0.690385i | ||||
\(962\) | 1.85641 | − | 6.92820i | 0.0598529 | − | 0.223374i | ||||
\(963\) | −9.29423 | + | 34.6865i | −0.299502 | + | 1.11776i | ||||
\(964\) | 21.4641 | − | 37.1769i | 0.691312 | − | 1.19739i | ||||
\(965\) | 5.73205 | + | 17.1962i | 0.184521 | + | 0.553564i | ||||
\(966\) | 0.0980762 | + | 0.00704156i | 0.00315555 | + | 0.000226558i | ||||
\(967\) | −13.5622 | + | 13.5622i | −0.436130 | + | 0.436130i | −0.890707 | − | 0.454577i | \(-0.849790\pi\) |
0.454577 | + | 0.890707i | \(0.349790\pi\) | |||||||
\(968\) | −6.59808 | + | 1.76795i | −0.212070 | + | 0.0568240i | ||||
\(969\) | −0.732051 | − | 1.26795i | −0.0235169 | − | 0.0407324i | ||||
\(970\) | 0.581416 | + | 9.68653i | 0.0186681 | + | 0.311016i | ||||
\(971\) | 29.0718 | + | 16.7846i | 0.932958 | + | 0.538644i | 0.887746 | − | 0.460334i | \(-0.152270\pi\) |
0.0452124 | + | 0.998977i | \(0.485604\pi\) | |||||||
\(972\) | −15.1244 | − | 15.1244i | −0.485114 | − | 0.485114i | ||||
\(973\) | −4.90192 | + | 14.1506i | −0.157148 | + | 0.453649i | ||||
\(974\) | 14.5885i | 0.467444i | ||||||||
\(975\) | 0.875644 | + | 7.26795i | 0.0280431 | + | 0.232761i | ||||
\(976\) | 3.27757 | − | 1.89230i | 0.104912 | − | 0.0605712i | ||||
\(977\) | 0.562178 | + | 0.150635i | 0.0179857 | + | 0.00481924i | 0.267801 | − | 0.963474i | \(-0.413703\pi\) |
−0.249815 | + | 0.968294i | \(0.580370\pi\) | |||||||
\(978\) | 0.973721 | + | 3.63397i | 0.0311362 | + | 0.116202i | ||||
\(979\) | 1.80385 | 0.0576512 | ||||||||
\(980\) | 24.5263 | − | 11.5526i | 0.783463 | − | 0.369033i | ||||
\(981\) | −27.6603 | −0.883124 | ||||||||
\(982\) | −5.05256 | − | 18.8564i | −0.161234 | − | 0.601732i | ||||
\(983\) | 54.1147 | + | 14.5000i | 1.72599 | + | 0.462478i | 0.979253 | − | 0.202639i | \(-0.0649519\pi\) |
0.746739 | + | 0.665118i | \(0.231619\pi\) | |||||||
\(984\) | 5.59808 | − | 3.23205i | 0.178460 | − | 0.103034i | ||||
\(985\) | 6.41858 | − | 31.3660i | 0.204513 | − | 0.999405i | ||||
\(986\) | − | 6.00000i | − | 0.191079i | ||||||
\(987\) | 4.09808 | − | 11.8301i | 0.130443 | − | 0.376557i | ||||
\(988\) | 2.53590 | + | 2.53590i | 0.0806777 | + | 0.0806777i | ||||
\(989\) | −0.480762 | − | 0.277568i | −0.0152873 | − | 0.00882615i | ||||
\(990\) | 5.73205 | − | 6.46410i | 0.182177 | − | 0.205443i | ||||
\(991\) | −15.8564 | − | 27.4641i | −0.503695 | − | 0.872426i | −0.999991 | − | 0.00427229i | \(-0.998640\pi\) |
0.496296 | − | 0.868154i | \(-0.334693\pi\) | |||||||
\(992\) | 37.0526 | − | 9.92820i | 1.17642 | − | 0.315221i | ||||
\(993\) | −0.679492 | + | 0.679492i | −0.0215630 | + | 0.0215630i | ||||
\(994\) | 1.73205 | + | 0.124356i | 0.0549373 | + | 0.00394432i | ||||
\(995\) | −22.1436 | − | 11.0718i | −0.701999 | − | 0.351000i | ||||
\(996\) | −1.33013 | + | 2.30385i | −0.0421467 | + | 0.0730002i | ||||
\(997\) | −10.6865 | + | 39.8827i | −0.338446 | + | 1.26310i | 0.561639 | + | 0.827382i | \(0.310171\pi\) |
−0.900085 | + | 0.435715i | \(0.856496\pi\) | |||||||
\(998\) | 1.54294 | − | 5.75833i | 0.0488409 | − | 0.182277i | ||||
\(999\) | −7.26795 | + | 12.5885i | −0.229948 | + | 0.398281i |
(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 | 35.2.k.a.33.1 | yes | 4 | |
3.2 | odd | 2 | 315.2.bz.b.208.1 | 4 | |||
4.3 | odd | 2 | 560.2.ci.a.33.1 | 4 | |||
5.2 | odd | 4 | 35.2.k.b.12.1 | yes | 4 | ||
5.3 | odd | 4 | 175.2.o.a.82.1 | 4 | |||
5.4 | even | 2 | 175.2.o.b.68.1 | 4 | |||
7.2 | even | 3 | 245.2.f.a.48.1 | 4 | |||
7.3 | odd | 6 | 35.2.k.b.3.1 | yes | 4 | ||
7.4 | even | 3 | 245.2.l.b.178.1 | 4 | |||
7.5 | odd | 6 | 245.2.f.b.48.1 | 4 | |||
7.6 | odd | 2 | 245.2.l.a.68.1 | 4 | |||
15.2 | even | 4 | 315.2.bz.a.82.1 | 4 | |||
20.7 | even | 4 | 560.2.ci.b.257.1 | 4 | |||
21.17 | even | 6 | 315.2.bz.a.73.1 | 4 | |||
28.3 | even | 6 | 560.2.ci.b.353.1 | 4 | |||
35.2 | odd | 12 | 245.2.f.b.97.1 | 4 | |||
35.3 | even | 12 | 175.2.o.b.157.1 | 4 | |||
35.12 | even | 12 | 245.2.f.a.97.1 | 4 | |||
35.17 | even | 12 | inner | 35.2.k.a.17.1 | ✓ | 4 | |
35.24 | odd | 6 | 175.2.o.a.143.1 | 4 | |||
35.27 | even | 4 | 245.2.l.b.117.1 | 4 | |||
35.32 | odd | 12 | 245.2.l.a.227.1 | 4 | |||
105.17 | odd | 12 | 315.2.bz.b.262.1 | 4 | |||
140.87 | odd | 12 | 560.2.ci.a.17.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.2.k.a.17.1 | ✓ | 4 | 35.17 | even | 12 | inner | |
35.2.k.a.33.1 | yes | 4 | 1.1 | even | 1 | trivial | |
35.2.k.b.3.1 | yes | 4 | 7.3 | odd | 6 | ||
35.2.k.b.12.1 | yes | 4 | 5.2 | odd | 4 | ||
175.2.o.a.82.1 | 4 | 5.3 | odd | 4 | |||
175.2.o.a.143.1 | 4 | 35.24 | odd | 6 | |||
175.2.o.b.68.1 | 4 | 5.4 | even | 2 | |||
175.2.o.b.157.1 | 4 | 35.3 | even | 12 | |||
245.2.f.a.48.1 | 4 | 7.2 | even | 3 | |||
245.2.f.a.97.1 | 4 | 35.12 | even | 12 | |||
245.2.f.b.48.1 | 4 | 7.5 | odd | 6 | |||
245.2.f.b.97.1 | 4 | 35.2 | odd | 12 | |||
245.2.l.a.68.1 | 4 | 7.6 | odd | 2 | |||
245.2.l.a.227.1 | 4 | 35.32 | odd | 12 | |||
245.2.l.b.117.1 | 4 | 35.27 | even | 4 | |||
245.2.l.b.178.1 | 4 | 7.4 | even | 3 | |||
315.2.bz.a.73.1 | 4 | 21.17 | even | 6 | |||
315.2.bz.a.82.1 | 4 | 15.2 | even | 4 | |||
315.2.bz.b.208.1 | 4 | 3.2 | odd | 2 | |||
315.2.bz.b.262.1 | 4 | 105.17 | odd | 12 | |||
560.2.ci.a.17.1 | 4 | 140.87 | odd | 12 | |||
560.2.ci.a.33.1 | 4 | 4.3 | odd | 2 | |||
560.2.ci.b.257.1 | 4 | 20.7 | even | 4 | |||
560.2.ci.b.353.1 | 4 | 28.3 | even | 6 |