Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 99.4 |
Dual form | 99.2.m.b.25.3 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.150377 | + | 1.43074i | −0.106333 | + | 1.01169i | 0.803102 | + | 0.595842i | \(0.203182\pi\) |
−0.909434 | + | 0.415847i | \(0.863485\pi\) | |||||||
\(3\) | −1.39014 | − | 1.03320i | −0.802598 | − | 0.596520i | ||||
\(4\) | −0.0681222 | − | 0.0144798i | −0.0340611 | − | 0.00723991i | ||||
\(5\) | 0.364652 | + | 3.46943i | 0.163077 | + | 1.55158i | 0.703815 | + | 0.710384i | \(0.251479\pi\) |
−0.540737 | + | 0.841191i | \(0.681855\pi\) | |||||||
\(6\) | 1.68730 | − | 1.83357i | 0.688835 | − | 0.748550i | ||||
\(7\) | −0.226061 | + | 0.251066i | −0.0854428 | + | 0.0948939i | −0.784350 | − | 0.620318i | \(-0.787003\pi\) |
0.698907 | + | 0.715212i | \(0.253670\pi\) | |||||||
\(8\) | −0.858159 | + | 2.64114i | −0.303405 | + | 0.933784i | ||||
\(9\) | 0.864983 | + | 2.87260i | 0.288328 | + | 0.957532i | ||||
\(10\) | −5.01870 | −1.58705 | ||||||||
\(11\) | 0.311608 | − | 3.30195i | 0.0939533 | − | 0.995577i | ||||
\(12\) | 0.0797388 | + | 0.0905130i | 0.0230186 | + | 0.0261288i | ||||
\(13\) | 1.05656 | − | 0.470412i | 0.293038 | − | 0.130469i | −0.254952 | − | 0.966954i | \(-0.582060\pi\) |
0.547990 | + | 0.836485i | \(0.315393\pi\) | |||||||
\(14\) | −0.325216 | − | 0.361189i | −0.0869178 | − | 0.0965319i | ||||
\(15\) | 3.07771 | − | 5.19975i | 0.794660 | − | 1.34257i | ||||
\(16\) | −3.77700 | − | 1.68163i | −0.944249 | − | 0.420407i | ||||
\(17\) | 3.32650 | − | 2.41684i | 0.806795 | − | 0.586171i | −0.106105 | − | 0.994355i | \(-0.533838\pi\) |
0.912900 | + | 0.408184i | \(0.133838\pi\) | |||||||
\(18\) | −4.24002 | + | 0.805597i | −0.999383 | + | 0.189881i | ||||
\(19\) | 1.38230 | − | 4.25428i | 0.317121 | − | 0.976000i | −0.657751 | − | 0.753236i | \(-0.728492\pi\) |
0.974872 | − | 0.222764i | \(-0.0715080\pi\) | |||||||
\(20\) | 0.0253958 | − | 0.241625i | 0.00567868 | − | 0.0540290i | ||||
\(21\) | 0.573658 | − | 0.115450i | 0.125182 | − | 0.0251933i | ||||
\(22\) | 4.67739 | + | 0.942370i | 0.997224 | + | 0.200914i | ||||
\(23\) | −2.64122 | + | 4.57472i | −0.550731 | + | 0.953895i | 0.447491 | + | 0.894289i | \(0.352318\pi\) |
−0.998222 | + | 0.0596062i | \(0.981016\pi\) | |||||||
\(24\) | 3.92180 | − | 2.78491i | 0.800533 | − | 0.568467i | ||||
\(25\) | −7.01322 | + | 1.49071i | −1.40264 | + | 0.298141i | ||||
\(26\) | 0.514156 | + | 1.58241i | 0.100834 | + | 0.310336i | ||||
\(27\) | 1.76553 | − | 4.88702i | 0.339775 | − | 0.940507i | ||||
\(28\) | 0.0190351 | − | 0.0138298i | 0.00359730 | − | 0.00261359i | ||||
\(29\) | 3.53177 | − | 3.92243i | 0.655834 | − | 0.728377i | −0.319872 | − | 0.947461i | \(-0.603640\pi\) |
0.975706 | + | 0.219084i | \(0.0703067\pi\) | |||||||
\(30\) | 6.97670 | + | 5.18534i | 1.27377 | + | 0.946709i | ||||
\(31\) | 5.16539 | − | 2.29978i | 0.927731 | − | 0.413052i | 0.113463 | − | 0.993542i | \(-0.463806\pi\) |
0.814268 | + | 0.580490i | \(0.197139\pi\) | |||||||
\(32\) | 0.196895 | − | 0.341031i | 0.0348064 | − | 0.0602864i | ||||
\(33\) | −3.84477 | + | 4.26823i | −0.669288 | + | 0.743003i | ||||
\(34\) | 2.95766 | + | 5.12281i | 0.507234 | + | 0.878555i | ||||
\(35\) | −0.953487 | − | 0.692749i | −0.161169 | − | 0.117096i | ||||
\(36\) | −0.0173299 | − | 0.208212i | −0.00288832 | − | 0.0347020i | ||||
\(37\) | 1.10852 | + | 3.41166i | 0.182239 | + | 0.560874i | 0.999890 | − | 0.0148406i | \(-0.00472409\pi\) |
−0.817651 | + | 0.575714i | \(0.804724\pi\) | |||||||
\(38\) | 5.87893 | + | 2.61747i | 0.953688 | + | 0.424609i | ||||
\(39\) | −1.95480 | − | 0.437705i | −0.313019 | − | 0.0700888i | ||||
\(40\) | −9.47618 | − | 2.01422i | −1.49831 | − | 0.318477i | ||||
\(41\) | −7.47091 | − | 8.29728i | −1.16676 | − | 1.29582i | −0.947356 | − | 0.320184i | \(-0.896255\pi\) |
−0.219404 | − | 0.975634i | \(-0.570411\pi\) | |||||||
\(42\) | 0.0789147 | + | 0.838119i | 0.0121768 | + | 0.129325i | ||||
\(43\) | 0.753935 | + | 1.30585i | 0.114974 | + | 0.199141i | 0.917769 | − | 0.397114i | \(-0.129988\pi\) |
−0.802795 | + | 0.596255i | \(0.796655\pi\) | |||||||
\(44\) | −0.0690391 | + | 0.220424i | −0.0104080 | + | 0.0332302i | ||||
\(45\) | −9.65084 | + | 4.04849i | −1.43866 | + | 0.603514i | ||||
\(46\) | −6.14808 | − | 4.46684i | −0.906484 | − | 0.658599i | ||||
\(47\) | −8.62854 | + | 1.83405i | −1.25860 | + | 0.267524i | −0.788470 | − | 0.615073i | \(-0.789127\pi\) |
−0.470131 | + | 0.882597i | \(0.655793\pi\) | |||||||
\(48\) | 3.51310 | + | 6.24010i | 0.507072 | + | 0.900681i | ||||
\(49\) | 0.719769 | + | 6.84814i | 0.102824 | + | 0.978306i | ||||
\(50\) | −1.07819 | − | 10.2583i | −0.152479 | − | 1.45074i | ||||
\(51\) | −7.12139 | − | 0.0771964i | −0.997194 | − | 0.0108097i | ||||
\(52\) | −0.0787868 | + | 0.0167467i | −0.0109258 | + | 0.00232234i | ||||
\(53\) | −1.63163 | − | 1.18545i | −0.224122 | − | 0.162834i | 0.470058 | − | 0.882635i | \(-0.344233\pi\) |
−0.694180 | + | 0.719801i | \(0.744233\pi\) | |||||||
\(54\) | 6.72658 | + | 3.26091i | 0.915371 | + | 0.443754i | ||||
\(55\) | 11.5695 | − | 0.122962i | 1.56003 | − | 0.0165802i | ||||
\(56\) | −0.469104 | − | 0.812512i | −0.0626866 | − | 0.108576i | ||||
\(57\) | −6.31713 | + | 4.48586i | −0.836724 | + | 0.594166i | ||||
\(58\) | 5.08090 | + | 5.64291i | 0.667155 | + | 0.740950i | ||||
\(59\) | 11.2967 | + | 2.40120i | 1.47071 | + | 0.312609i | 0.872454 | − | 0.488696i | \(-0.162527\pi\) |
0.598256 | + | 0.801305i | \(0.295861\pi\) | |||||||
\(60\) | −0.284951 | + | 0.309654i | −0.0367871 | + | 0.0399761i | ||||
\(61\) | 7.19542 | + | 3.20361i | 0.921279 | + | 0.410180i | 0.811884 | − | 0.583819i | \(-0.198442\pi\) |
0.109395 | + | 0.993998i | \(0.465109\pi\) | |||||||
\(62\) | 2.51364 | + | 7.73619i | 0.319233 | + | 0.982497i | ||||
\(63\) | −0.916749 | − | 0.432213i | −0.115499 | − | 0.0544537i | ||||
\(64\) | −6.23134 | − | 4.52733i | −0.778918 | − | 0.565917i | ||||
\(65\) | 2.01734 | + | 3.49413i | 0.250220 | + | 0.433394i | ||||
\(66\) | −5.52858 | − | 6.14273i | −0.680521 | − | 0.756117i | ||||
\(67\) | 2.09211 | − | 3.62364i | 0.255592 | − | 0.442698i | −0.709464 | − | 0.704741i | \(-0.751063\pi\) |
0.965056 | + | 0.262043i | \(0.0843963\pi\) | |||||||
\(68\) | −0.261604 | + | 0.116474i | −0.0317241 | + | 0.0141245i | ||||
\(69\) | 8.39827 | − | 3.63059i | 1.01103 | − | 0.437072i | ||||
\(70\) | 1.13453 | − | 1.26002i | 0.135602 | − | 0.150602i | ||||
\(71\) | −1.95860 | + | 1.42300i | −0.232442 | + | 0.168879i | −0.697910 | − | 0.716186i | \(-0.745886\pi\) |
0.465467 | + | 0.885065i | \(0.345886\pi\) | |||||||
\(72\) | −8.32922 | − | 0.180600i | −0.981608 | − | 0.0212839i | ||||
\(73\) | −1.04183 | − | 3.20643i | −0.121937 | − | 0.375284i | 0.871394 | − | 0.490585i | \(-0.163217\pi\) |
−0.993331 | + | 0.115301i | \(0.963217\pi\) | |||||||
\(74\) | −5.04791 | + | 1.07297i | −0.586808 | + | 0.124730i | ||||
\(75\) | 11.2896 | + | 5.17379i | 1.30361 | + | 0.597418i | ||||
\(76\) | −0.155767 | + | 0.269796i | −0.0178676 | + | 0.0309477i | ||||
\(77\) | 0.758565 | + | 0.824675i | 0.0864465 | + | 0.0939805i | ||||
\(78\) | 0.920202 | − | 2.73100i | 0.104192 | − | 0.309225i | ||||
\(79\) | −0.892435 | + | 8.49095i | −0.100407 | + | 0.955307i | 0.822105 | + | 0.569337i | \(0.192800\pi\) |
−0.922511 | + | 0.385970i | \(0.873867\pi\) | |||||||
\(80\) | 4.45700 | − | 13.7172i | 0.498307 | − | 1.53363i | ||||
\(81\) | −7.50361 | + | 4.96949i | −0.833734 | + | 0.552166i | ||||
\(82\) | 12.9947 | − | 9.44124i | 1.43503 | − | 1.04261i | ||||
\(83\) | −10.3564 | − | 4.61098i | −1.13677 | − | 0.506120i | −0.249956 | − | 0.968257i | \(-0.580416\pi\) |
−0.886809 | + | 0.462137i | \(0.847083\pi\) | |||||||
\(84\) | −0.0407505 | 0.000441738i | −0.00444624 | 4.81976e-5i | ||||||
\(85\) | 9.59808 | + | 10.6597i | 1.04106 | + | 1.15621i | ||||
\(86\) | −1.98172 | + | 0.882318i | −0.213694 | + | 0.0951428i | ||||
\(87\) | −8.96233 | + | 1.80369i | −0.960862 | + | 0.193376i | ||||
\(88\) | 8.45352 | + | 3.65660i | 0.901148 | + | 0.389795i | ||||
\(89\) | −3.45994 | −0.366753 | −0.183376 | − | 0.983043i | \(-0.558703\pi\) | ||||
−0.183376 | + | 0.983043i | \(0.558703\pi\) | |||||||
\(90\) | −4.34109 | − | 14.4167i | −0.457591 | − | 1.51965i | ||||
\(91\) | −0.120743 | + | 0.371608i | −0.0126573 | + | 0.0389551i | ||||
\(92\) | 0.246166 | − | 0.273395i | 0.0256646 | − | 0.0285034i | ||||
\(93\) | −9.55675 | − | 2.13988i | −0.990989 | − | 0.221895i | ||||
\(94\) | −1.32652 | − | 12.6210i | −0.136821 | − | 1.30176i | ||||
\(95\) | 15.2640 | + | 3.24446i | 1.56605 | + | 0.332875i | ||||
\(96\) | −0.626066 | + | 0.270650i | −0.0638976 | + | 0.0276231i | ||||
\(97\) | 1.36288 | − | 12.9669i | 0.138379 | − | 1.31659i | −0.676277 | − | 0.736648i | \(-0.736408\pi\) |
0.814656 | − | 0.579944i | \(-0.196926\pi\) | |||||||
\(98\) | −9.90618 | −1.00068 | ||||||||
\(99\) | 9.75471 | − | 1.96101i | 0.980386 | − | 0.197089i | ||||
\(100\) | 0.499341 | 0.0499341 | ||||||||
\(101\) | 0.228228 | − | 2.17144i | 0.0227095 | − | 0.216067i | −0.977282 | − | 0.211943i | \(-0.932021\pi\) |
0.999991 | − | 0.00412339i | \(-0.00131252\pi\) | |||||||
\(102\) | 1.18134 | − | 10.1773i | 0.116971 | − | 1.00770i | ||||
\(103\) | −0.852503 | − | 0.181205i | −0.0839996 | − | 0.0178547i | 0.165720 | − | 0.986173i | \(-0.447005\pi\) |
−0.249720 | + | 0.968318i | \(0.580338\pi\) | |||||||
\(104\) | 0.335726 | + | 3.19422i | 0.0329206 | + | 0.313219i | ||||
\(105\) | 0.609731 | + | 1.94816i | 0.0595037 | + | 0.190121i | ||||
\(106\) | 1.94144 | − | 2.15619i | 0.188569 | − | 0.209427i | ||||
\(107\) | 1.90401 | − | 5.85995i | 0.184068 | − | 0.566502i | −0.815863 | − | 0.578245i | \(-0.803738\pi\) |
0.999931 | + | 0.0117425i | \(0.00373784\pi\) | |||||||
\(108\) | −0.191034 | + | 0.307350i | −0.0183823 | + | 0.0295747i | ||||
\(109\) | −11.7010 | −1.12075 | −0.560376 | − | 0.828238i | \(-0.689343\pi\) | ||||
−0.560376 | + | 0.828238i | \(0.689343\pi\) | |||||||
\(110\) | −1.56387 | + | 16.5715i | −0.149109 | + | 1.58003i | ||||
\(111\) | 1.98394 | − | 5.88801i | 0.188308 | − | 0.558865i | ||||
\(112\) | 1.27603 | − | 0.568125i | 0.120573 | − | 0.0536827i | ||||
\(113\) | −0.280047 | − | 0.311024i | −0.0263446 | − | 0.0292586i | 0.729829 | − | 0.683630i | \(-0.239600\pi\) |
−0.756173 | + | 0.654372i | \(0.772933\pi\) | |||||||
\(114\) | −5.46816 | − | 9.71277i | −0.512140 | − | 0.909685i | ||||
\(115\) | −16.8348 | − | 7.49533i | −1.56985 | − | 0.698943i | ||||
\(116\) | −0.297388 | + | 0.216065i | −0.0276118 | + | 0.0200611i | ||||
\(117\) | 2.26521 | + | 2.62818i | 0.209419 | + | 0.242975i | ||||
\(118\) | −5.13427 | + | 15.8017i | −0.472648 | + | 1.45466i | ||||
\(119\) | −0.145204 | + | 1.38152i | −0.0133108 | + | 0.126644i | ||||
\(120\) | 11.0921 | + | 12.5909i | 1.01257 | + | 1.14938i | ||||
\(121\) | −10.8058 | − | 2.05783i | −0.982346 | − | 0.187075i | ||||
\(122\) | −5.66557 | + | 9.81305i | −0.512937 | + | 0.888432i | ||||
\(123\) | 1.81284 | + | 19.2534i | 0.163458 | + | 1.73602i | ||||
\(124\) | −0.385178 | + | 0.0818720i | −0.0345900 | + | 0.00735233i | ||||
\(125\) | −2.33919 | − | 7.19928i | −0.209223 | − | 0.643924i | ||||
\(126\) | 0.756244 | − | 1.24664i | 0.0673716 | − | 0.111059i | ||||
\(127\) | −7.46315 | + | 5.42229i | −0.662247 | + | 0.481151i | −0.867421 | − | 0.497575i | \(-0.834224\pi\) |
0.205174 | + | 0.978726i | \(0.434224\pi\) | |||||||
\(128\) | 7.94150 | − | 8.81993i | 0.701936 | − | 0.779579i | ||||
\(129\) | 0.301136 | − | 2.59429i | 0.0265135 | − | 0.228414i | ||||
\(130\) | −5.30257 | + | 2.36086i | −0.465066 | + | 0.207061i | ||||
\(131\) | 7.68773 | − | 13.3155i | 0.671680 | − | 1.16338i | −0.305747 | − | 0.952113i | \(-0.598906\pi\) |
0.977427 | − | 0.211272i | \(-0.0677605\pi\) | |||||||
\(132\) | 0.323717 | − | 0.235089i | 0.0281759 | − | 0.0204619i | ||||
\(133\) | 0.755621 | + | 1.30877i | 0.0655206 | + | 0.113485i | ||||
\(134\) | 4.86990 | + | 3.53819i | 0.420695 | + | 0.305653i | ||||
\(135\) | 17.5989 | + | 4.34330i | 1.51468 | + | 0.373812i | ||||
\(136\) | 3.52856 | + | 10.8598i | 0.302571 | + | 0.931219i | ||||
\(137\) | 1.79196 | + | 0.797833i | 0.153098 | + | 0.0681635i | 0.481855 | − | 0.876251i | \(-0.339963\pi\) |
−0.328757 | + | 0.944414i | \(0.606630\pi\) | |||||||
\(138\) | 3.93154 | + | 12.5617i | 0.334675 | + | 1.06933i | ||||
\(139\) | −17.2612 | − | 3.66897i | −1.46407 | − | 0.311198i | −0.594137 | − | 0.804364i | \(-0.702506\pi\) |
−0.869935 | + | 0.493166i | \(0.835840\pi\) | |||||||
\(140\) | 0.0549227 | + | 0.0609979i | 0.00464182 | + | 0.00515526i | ||||
\(141\) | 13.8898 | + | 6.36544i | 1.16973 | + | 0.536067i | ||||
\(142\) | −1.74143 | − | 3.01624i | −0.146137 | − | 0.253117i | ||||
\(143\) | −1.22405 | − | 3.63531i | −0.102360 | − | 0.304000i | ||||
\(144\) | 1.56360 | − | 12.3044i | 0.130300 | − | 1.02536i | ||||
\(145\) | 14.8965 | + | 10.8229i | 1.23708 | + | 0.898794i | ||||
\(146\) | 4.74424 | − | 1.00842i | 0.392636 | − | 0.0834575i | ||||
\(147\) | 6.07494 | − | 10.2635i | 0.501053 | − | 0.846523i | ||||
\(148\) | −0.0261143 | − | 0.248461i | −0.00214658 | − | 0.0204234i | ||||
\(149\) | −0.0705106 | − | 0.670863i | −0.00577645 | − | 0.0549593i | 0.991254 | − | 0.131968i | \(-0.0421297\pi\) |
−0.997030 | + | 0.0770089i | \(0.975463\pi\) | |||||||
\(150\) | −9.10006 | + | 15.3745i | −0.743017 | + | 1.25532i | ||||
\(151\) | −5.40335 | + | 1.14852i | −0.439718 | + | 0.0934650i | −0.422451 | − | 0.906386i | \(-0.638830\pi\) |
−0.0172675 | + | 0.999851i | \(0.505497\pi\) | |||||||
\(152\) | 10.0499 | + | 7.30170i | 0.815157 | + | 0.592246i | ||||
\(153\) | 9.81998 | + | 7.46516i | 0.793898 | + | 0.603522i | ||||
\(154\) | −1.29397 | + | 0.961300i | −0.104271 | + | 0.0774638i | ||||
\(155\) | 9.86248 | + | 17.0823i | 0.792174 | + | 1.37209i | ||||
\(156\) | 0.126827 | + | 0.0581226i | 0.0101543 | + | 0.00465353i | ||||
\(157\) | 0.531840 | + | 0.590668i | 0.0424454 | + | 0.0471404i | 0.763994 | − | 0.645224i | \(-0.223236\pi\) |
−0.721548 | + | 0.692364i | \(0.756569\pi\) | |||||||
\(158\) | −12.0142 | − | 2.55369i | −0.955797 | − | 0.203161i | ||||
\(159\) | 1.04339 | + | 3.33375i | 0.0827461 | + | 0.264384i | ||||
\(160\) | 1.25498 | + | 0.558754i | 0.0992150 | + | 0.0441734i | ||||
\(161\) | −0.551480 | − | 1.69728i | −0.0434627 | − | 0.133765i | ||||
\(162\) | −5.98171 | − | 11.4830i | −0.469967 | − | 0.902193i | ||||
\(163\) | −11.6538 | − | 8.46700i | −0.912799 | − | 0.663187i | 0.0289225 | − | 0.999582i | \(-0.490792\pi\) |
−0.941721 | + | 0.336395i | \(0.890792\pi\) | |||||||
\(164\) | 0.388791 | + | 0.673406i | 0.0303595 | + | 0.0525842i | ||||
\(165\) | −16.2103 | − | 11.7827i | −1.26197 | − | 0.917284i | ||||
\(166\) | 8.15450 | − | 14.1240i | 0.632912 | − | 1.09624i | ||||
\(167\) | −12.3976 | + | 5.51977i | −0.959355 | + | 0.427132i | −0.825834 | − | 0.563914i | \(-0.809295\pi\) |
−0.133521 | + | 0.991046i | \(0.542628\pi\) | |||||||
\(168\) | −0.187369 | + | 1.61419i | −0.0144558 | + | 0.124537i | ||||
\(169\) | −7.80366 | + | 8.66684i | −0.600282 | + | 0.666680i | ||||
\(170\) | −16.6947 | + | 12.1294i | −1.28043 | + | 0.930284i | ||||
\(171\) | 13.4165 | + | 0.290906i | 1.02599 | + | 0.0222461i | ||||
\(172\) | −0.0324512 | − | 0.0998744i | −0.00247438 | − | 0.00761535i | ||||
\(173\) | 17.2022 | − | 3.65645i | 1.30786 | − | 0.277995i | 0.499312 | − | 0.866422i | \(-0.333586\pi\) |
0.808550 | + | 0.588428i | \(0.200253\pi\) | |||||||
\(174\) | −1.23289 | − | 13.0940i | −0.0934655 | − | 0.992656i | ||||
\(175\) | 1.21115 | − | 2.09777i | 0.0915541 | − | 0.158576i | ||||
\(176\) | −6.72960 | + | 11.9475i | −0.507263 | + | 0.900574i | ||||
\(177\) | −13.2231 | − | 15.0098i | −0.993912 | − | 1.12821i | ||||
\(178\) | 0.520296 | − | 4.95029i | 0.0389979 | − | 0.371040i | ||||
\(179\) | −4.96972 | + | 15.2952i | −0.371454 | + | 1.14322i | 0.574386 | + | 0.818585i | \(0.305241\pi\) |
−0.945840 | + | 0.324634i | \(0.894759\pi\) | |||||||
\(180\) | 0.716058 | − | 0.136050i | 0.0533718 | − | 0.0101405i | ||||
\(181\) | 12.0200 | − | 8.73306i | 0.893441 | − | 0.649123i | −0.0433317 | − | 0.999061i | \(-0.513797\pi\) |
0.936773 | + | 0.349938i | \(0.113797\pi\) | |||||||
\(182\) | −0.513519 | − | 0.228634i | −0.0380646 | − | 0.0169474i | ||||
\(183\) | −6.69267 | − | 11.8878i | −0.494736 | − | 0.878771i | ||||
\(184\) | −9.81589 | − | 10.9017i | −0.723637 | − | 0.803681i | ||||
\(185\) | −11.4323 | + | 5.08998i | −0.840519 | + | 0.374223i | ||||
\(186\) | 4.49874 | − | 13.3515i | 0.329863 | − | 0.978979i | ||||
\(187\) | −6.94374 | − | 11.7371i | −0.507777 | − | 0.858299i | ||||
\(188\) | 0.614351 | 0.0448062 | ||||||||
\(189\) | 0.827846 | + | 1.54802i | 0.0602169 | + | 0.112602i | ||||
\(190\) | −6.93735 | + | 21.3510i | −0.503288 | + | 1.54896i | ||||
\(191\) | −0.906328 | + | 1.00658i | −0.0655796 | + | 0.0728335i | −0.775042 | − | 0.631910i | \(-0.782271\pi\) |
0.709462 | + | 0.704743i | \(0.248938\pi\) | |||||||
\(192\) | 3.98479 | + | 12.7319i | 0.287577 | + | 0.918844i | ||||
\(193\) | 2.33500 | + | 22.2160i | 0.168077 | + | 1.59915i | 0.675441 | + | 0.737414i | \(0.263953\pi\) |
−0.507364 | + | 0.861732i | \(0.669380\pi\) | |||||||
\(194\) | 18.3474 | + | 3.89986i | 1.31727 | + | 0.279994i | ||||
\(195\) | 0.805763 | − | 6.94165i | 0.0577019 | − | 0.497102i | ||||
\(196\) | 0.0501276 | − | 0.476932i | 0.00358054 | − | 0.0340666i | ||||
\(197\) | 8.74655 | 0.623166 | 0.311583 | − | 0.950219i | \(-0.399141\pi\) | ||||
0.311583 | + | 0.950219i | \(0.399141\pi\) | |||||||
\(198\) | 1.33882 | + | 14.2514i | 0.0951458 | + | 1.01280i | ||||
\(199\) | 6.39133 | 0.453070 | 0.226535 | − | 0.974003i | \(-0.427260\pi\) | ||||
0.226535 | + | 0.974003i | \(0.427260\pi\) | |||||||
\(200\) | 2.08129 | − | 19.8022i | 0.147170 | − | 1.40022i | ||||
\(201\) | −6.65228 | + | 2.87580i | −0.469216 | + | 0.202843i | ||||
\(202\) | 3.07246 | + | 0.653071i | 0.216178 | + | 0.0459499i | ||||
\(203\) | 0.186393 | + | 1.77341i | 0.0130822 | + | 0.124469i | ||||
\(204\) | 0.484007 | + | 0.108375i | 0.0338873 | + | 0.00758778i | ||||
\(205\) | 26.0625 | − | 28.9454i | 1.82029 | − | 2.02163i | ||||
\(206\) | 0.387455 | − | 1.19246i | 0.0269953 | − | 0.0830829i | ||||
\(207\) | −15.4259 | − | 3.63009i | −1.07218 | − | 0.252308i | ||||
\(208\) | −4.78169 | −0.331551 | ||||||||
\(209\) | −13.6167 | − | 5.88996i | −0.941888 | − | 0.407417i | ||||
\(210\) | −2.87902 | + | 0.579410i | −0.198671 | + | 0.0399831i | ||||
\(211\) | 6.02398 | − | 2.68205i | 0.414708 | − | 0.184640i | −0.188767 | − | 0.982022i | \(-0.560449\pi\) |
0.603475 | + | 0.797382i | \(0.293782\pi\) | |||||||
\(212\) | 0.0939852 | + | 0.104381i | 0.00645493 | + | 0.00716893i | ||||
\(213\) | 4.19297 | + | 0.0454521i | 0.287298 | + | 0.00311433i | ||||
\(214\) | 8.09777 | + | 3.60536i | 0.553552 | + | 0.246457i | ||||
\(215\) | −4.25564 | + | 3.09190i | −0.290232 | + | 0.210866i | ||||
\(216\) | 11.3922 | + | 8.85684i | 0.775141 | + | 0.602631i | ||||
\(217\) | −0.590295 | + | 1.81674i | −0.0400718 | + | 0.123328i | ||||
\(218\) | 1.75956 | − | 16.7411i | 0.119173 | − | 1.13385i | ||||
\(219\) | −1.86460 | + | 5.53381i | −0.125998 | + | 0.373940i | ||||
\(220\) | −0.789921 | − | 0.159148i | −0.0532565 | − | 0.0107298i | ||||
\(221\) | 2.37774 | − | 4.11837i | 0.159944 | − | 0.277032i | ||||
\(222\) | 8.12590 | + | 3.72394i | 0.545375 | + | 0.249935i | ||||
\(223\) | 6.55058 | − | 1.39237i | 0.438659 | − | 0.0932399i | 0.0167120 | − | 0.999860i | \(-0.494680\pi\) |
0.421947 | + | 0.906620i | \(0.361347\pi\) | |||||||
\(224\) | 0.0411112 | + | 0.126527i | 0.00274686 | + | 0.00845395i | ||||
\(225\) | −10.3485 | − | 18.8567i | −0.689901 | − | 1.25711i | ||||
\(226\) | 0.487108 | − | 0.353905i | 0.0324020 | − | 0.0235414i | ||||
\(227\) | −4.11338 | + | 4.56838i | −0.273015 | + | 0.303214i | −0.864023 | − | 0.503452i | \(-0.832063\pi\) |
0.591009 | + | 0.806665i | \(0.298730\pi\) | |||||||
\(228\) | 0.495291 | − | 0.214115i | 0.0328014 | − | 0.0141801i | ||||
\(229\) | −20.9346 | + | 9.32068i | −1.38340 | + | 0.615928i | −0.957391 | − | 0.288793i | \(-0.906746\pi\) |
−0.426005 | + | 0.904721i | \(0.640079\pi\) | |||||||
\(230\) | 13.2555 | − | 22.9591i | 0.874040 | − | 1.51388i | ||||
\(231\) | −0.202455 | − | 1.93017i | −0.0133206 | − | 0.126996i | ||||
\(232\) | 7.32887 | + | 12.6940i | 0.481164 | + | 0.833400i | ||||
\(233\) | 9.54280 | + | 6.93325i | 0.625170 | + | 0.454212i | 0.854724 | − | 0.519084i | \(-0.173727\pi\) |
−0.229554 | + | 0.973296i | \(0.573727\pi\) | |||||||
\(234\) | −4.10089 | + | 2.84572i | −0.268084 | + | 0.186031i | ||||
\(235\) | −9.50952 | − | 29.2673i | −0.620333 | − | 1.90919i | ||||
\(236\) | −0.734789 | − | 0.327149i | −0.0478307 | − | 0.0212956i | ||||
\(237\) | 10.0135 | − | 10.8816i | 0.650446 | − | 0.706833i | ||||
\(238\) | −1.95477 | − | 0.415499i | −0.126709 | − | 0.0269328i | ||||
\(239\) | −6.45895 | − | 7.17339i | −0.417795 | − | 0.464008i | 0.497104 | − | 0.867691i | \(-0.334397\pi\) |
−0.914899 | + | 0.403683i | \(0.867730\pi\) | |||||||
\(240\) | −20.3685 | + | 14.4639i | −1.31478 | + | 0.933640i | ||||
\(241\) | 3.63345 | + | 6.29331i | 0.234051 | + | 0.405388i | 0.958996 | − | 0.283418i | \(-0.0914685\pi\) |
−0.724946 | + | 0.688806i | \(0.758135\pi\) | |||||||
\(242\) | 4.56918 | − | 15.1509i | 0.293718 | − | 0.973936i | ||||
\(243\) | 15.5656 | + | 0.844453i | 0.998532 | + | 0.0541717i | ||||
\(244\) | −0.443780 | − | 0.322425i | −0.0284101 | − | 0.0206411i | ||||
\(245\) | −23.4967 | + | 4.99437i | −1.50115 | + | 0.319079i | ||||
\(246\) | −27.8192 | − | 0.301562i | −1.77369 | − | 0.0192269i | ||||
\(247\) | −0.540779 | − | 5.14517i | −0.0344089 | − | 0.327379i | ||||
\(248\) | 1.64132 | + | 15.6161i | 0.104224 | + | 0.991623i | ||||
\(249\) | 9.63281 | + | 17.1102i | 0.610455 | + | 1.08431i | ||||
\(250\) | 10.6521 | − | 2.26417i | 0.673698 | − | 0.143199i | ||||
\(251\) | 10.6325 | + | 7.72498i | 0.671119 | + | 0.487597i | 0.870400 | − | 0.492346i | \(-0.163860\pi\) |
−0.199280 | + | 0.979943i | \(0.563860\pi\) | |||||||
\(252\) | 0.0561925 | + | 0.0427176i | 0.00353980 | + | 0.00269096i | ||||
\(253\) | 14.2825 | + | 10.1467i | 0.897932 | + | 0.637917i | ||||
\(254\) | −6.63563 | − | 11.4932i | −0.416356 | − | 0.721150i | ||||
\(255\) | −2.32900 | − | 24.7353i | −0.145848 | − | 1.54899i | ||||
\(256\) | 1.11708 | + | 1.24065i | 0.0698177 | + | 0.0775404i | ||||
\(257\) | 1.78636 | + | 0.379703i | 0.111430 | + | 0.0236852i | 0.263289 | − | 0.964717i | \(-0.415193\pi\) |
−0.151859 | + | 0.988402i | \(0.548526\pi\) | |||||||
\(258\) | 3.66648 | + | 0.820971i | 0.228265 | + | 0.0511114i | ||||
\(259\) | −1.10714 | − | 0.492932i | −0.0687945 | − | 0.0306293i | ||||
\(260\) | −0.0868310 | − | 0.267238i | −0.00538503 | − | 0.0165734i | ||||
\(261\) | 14.3225 | + | 6.75252i | 0.886539 | + | 0.417970i | ||||
\(262\) | 17.8951 | + | 13.0015i | 1.10556 | + | 0.803238i | ||||
\(263\) | −2.63718 | − | 4.56773i | −0.162616 | − | 0.281658i | 0.773190 | − | 0.634174i | \(-0.218660\pi\) |
−0.935806 | + | 0.352516i | \(0.885326\pi\) | |||||||
\(264\) | −7.97357 | − | 13.8174i | −0.490739 | − | 0.850401i | ||||
\(265\) | 3.51786 | − | 6.09311i | 0.216100 | − | 0.374297i | ||||
\(266\) | −1.98615 | + | 0.884291i | −0.121779 | + | 0.0542193i | ||||
\(267\) | 4.80980 | + | 3.57482i | 0.294355 | + | 0.218775i | ||||
\(268\) | −0.194989 | + | 0.216557i | −0.0119108 | + | 0.0132283i | ||||
\(269\) | 14.0391 | − | 10.2000i | 0.855982 | − | 0.621907i | −0.0708069 | − | 0.997490i | \(-0.522557\pi\) |
0.926789 | + | 0.375583i | \(0.122557\pi\) | |||||||
\(270\) | −8.86064 | + | 24.5265i | −0.539242 | + | 1.49263i | ||||
\(271\) | 2.50681 | + | 7.71516i | 0.152278 | + | 0.468662i | 0.997875 | − | 0.0651590i | \(-0.0207555\pi\) |
−0.845597 | + | 0.533821i | \(0.820755\pi\) | |||||||
\(272\) | −16.6284 | + | 3.53448i | −1.00825 | + | 0.214309i | ||||
\(273\) | 0.551796 | − | 0.391836i | 0.0333962 | − | 0.0237150i | ||||
\(274\) | −1.41097 | + | 2.44386i | −0.0852396 | + | 0.147639i | ||||
\(275\) | 2.73687 | + | 23.6218i | 0.165039 | + | 1.42445i | ||||
\(276\) | −0.624679 | + | 0.125718i | −0.0376012 | + | 0.00756736i | ||||
\(277\) | 2.03436 | − | 19.3556i | 0.122233 | − | 1.16297i | −0.745699 | − | 0.666283i | \(-0.767884\pi\) |
0.867932 | − | 0.496684i | \(-0.165449\pi\) | |||||||
\(278\) | 7.84505 | − | 24.1446i | 0.470515 | − | 1.44810i | ||||
\(279\) | 11.0743 | + | 12.8488i | 0.663001 | + | 0.769237i | ||||
\(280\) | 2.64789 | − | 1.92381i | 0.158242 | − | 0.114969i | ||||
\(281\) | 26.4828 | + | 11.7909i | 1.57983 | + | 0.703386i | 0.994236 | − | 0.107218i | \(-0.0341942\pi\) |
0.585595 | + | 0.810604i | \(0.300861\pi\) | |||||||
\(282\) | −11.1960 | + | 18.9156i | −0.666714 | + | 1.12641i | ||||
\(283\) | 6.54084 | + | 7.26434i | 0.388813 | + | 0.431820i | 0.905495 | − | 0.424357i | \(-0.139500\pi\) |
−0.516682 | + | 0.856177i | \(0.672833\pi\) | |||||||
\(284\) | 0.154029 | − | 0.0685779i | 0.00913991 | − | 0.00406935i | ||||
\(285\) | −17.8669 | − | 20.2811i | −1.05834 | − | 1.20135i | ||||
\(286\) | 5.38526 | − | 1.20463i | 0.318437 | − | 0.0712312i | ||||
\(287\) | 3.77204 | 0.222656 | ||||||||
\(288\) | 1.14996 | + | 0.270612i | 0.0677618 | + | 0.0159460i | ||||
\(289\) | −0.0288211 | + | 0.0887023i | −0.00169536 | + | 0.00521778i | ||||
\(290\) | −17.7249 | + | 19.6855i | −1.04084 | + | 1.15597i | ||||
\(291\) | −15.2921 | + | 16.6177i | −0.896436 | + | 0.974148i | ||||
\(292\) | 0.0245433 | + | 0.233514i | 0.00143629 | + | 0.0136654i | ||||
\(293\) | −24.6580 | − | 5.24122i | −1.44053 | − | 0.306195i | −0.579596 | − | 0.814904i | \(-0.696790\pi\) |
−0.860939 | + | 0.508709i | \(0.830123\pi\) | |||||||
\(294\) | 13.7710 | + | 10.2351i | 0.803140 | + | 0.596923i | ||||
\(295\) | −4.21140 | + | 40.0688i | −0.245197 | + | 2.33290i | ||||
\(296\) | −9.96196 | −0.579027 | ||||||||
\(297\) | −15.5865 | − | 7.35252i | −0.904423 | − | 0.426636i | ||||
\(298\) | 0.970438 | 0.0562159 | ||||||||
\(299\) | −0.638607 | + | 6.07594i | −0.0369316 | + | 0.351380i | ||||
\(300\) | −0.694154 | − | 0.515920i | −0.0400770 | − | 0.0297867i | ||||
\(301\) | −0.498290 | − | 0.105915i | −0.0287209 | − | 0.00610483i | ||||
\(302\) | −0.830694 | − | 7.90352i | −0.0478010 | − | 0.454797i | ||||
\(303\) | −2.56081 | + | 2.78281i | −0.147115 | + | 0.159868i | ||||
\(304\) | −12.3751 | + | 13.7439i | −0.709759 | + | 0.788267i | ||||
\(305\) | −8.49086 | + | 26.1322i | −0.486185 | + | 1.49632i | ||||
\(306\) | −12.1574 | + | 12.9273i | −0.694995 | + | 0.739004i | ||||
\(307\) | 4.47659 | 0.255492 | 0.127746 | − | 0.991807i | \(-0.459226\pi\) | ||||
0.127746 | + | 0.991807i | \(0.459226\pi\) | |||||||
\(308\) | −0.0397339 | − | 0.0671625i | −0.00226405 | − | 0.00382694i | ||||
\(309\) | 0.997877 | + | 1.13271i | 0.0567672 | + | 0.0644375i | ||||
\(310\) | −25.9235 | + | 11.5419i | −1.47236 | + | 0.655536i | ||||
\(311\) | −15.1635 | − | 16.8408i | −0.859846 | − | 0.954955i | 0.139532 | − | 0.990218i | \(-0.455440\pi\) |
−0.999378 | + | 0.0352621i | \(0.988773\pi\) | |||||||
\(312\) | 2.83357 | − | 4.78729i | 0.160419 | − | 0.271027i | ||||
\(313\) | 15.2404 | + | 6.78547i | 0.861439 | + | 0.383537i | 0.789411 | − | 0.613865i | \(-0.210386\pi\) |
0.0720283 | + | 0.997403i | \(0.477053\pi\) | |||||||
\(314\) | −0.925071 | + | 0.672104i | −0.0522048 | + | 0.0379290i | ||||
\(315\) | 1.16524 | − | 3.33820i | 0.0656537 | − | 0.188086i | ||||
\(316\) | 0.183742 | − | 0.565500i | 0.0103363 | − | 0.0318118i | ||||
\(317\) | 2.65165 | − | 25.2287i | 0.148931 | − | 1.41699i | −0.623468 | − | 0.781849i | \(-0.714277\pi\) |
0.772399 | − | 0.635138i | \(-0.219057\pi\) | |||||||
\(318\) | −4.92665 | + | 0.991502i | −0.276273 | + | 0.0556007i | ||||
\(319\) | −11.8512 | − | 12.8840i | −0.663537 | − | 0.721366i | ||||
\(320\) | 13.4350 | − | 23.2701i | 0.751039 | − | 1.30084i | ||||
\(321\) | −8.70136 | + | 6.17892i | −0.485662 | + | 0.344874i | ||||
\(322\) | 2.51131 | − | 0.533795i | 0.139950 | − | 0.0297472i | ||||
\(323\) | −5.68372 | − | 17.4927i | −0.316250 | − | 0.973319i | ||||
\(324\) | 0.583119 | − | 0.229882i | 0.0323955 | − | 0.0127712i | ||||
\(325\) | −6.70866 | + | 4.87413i | −0.372129 | + | 0.270368i | ||||
\(326\) | 13.8666 | − | 15.4004i | 0.768000 | − | 0.852950i | ||||
\(327\) | 16.2660 | + | 12.0895i | 0.899513 | + | 0.668551i | ||||
\(328\) | 28.3255 | − | 12.6113i | 1.56401 | − | 0.696344i | ||||
\(329\) | 1.49010 | − | 2.58094i | 0.0821521 | − | 0.142292i | ||||
\(330\) | 19.2957 | − | 21.4210i | 1.06220 | − | 1.17918i | ||||
\(331\) | −3.79418 | − | 6.57172i | −0.208547 | − | 0.361214i | 0.742710 | − | 0.669613i | \(-0.233540\pi\) |
−0.951257 | + | 0.308399i | \(0.900207\pi\) | |||||||
\(332\) | 0.638736 | + | 0.464069i | 0.0350552 | + | 0.0254691i | ||||
\(333\) | −8.84147 | + | 6.13535i | −0.484510 | + | 0.336215i | ||||
\(334\) | −6.03306 | − | 18.5678i | −0.330114 | − | 1.01599i | ||||
\(335\) | 13.3348 | + | 5.93706i | 0.728561 | + | 0.324376i | ||||
\(336\) | −2.36085 | − | 0.528623i | −0.128795 | − | 0.0288388i | ||||
\(337\) | 14.0954 | + | 2.99606i | 0.767823 | + | 0.163206i | 0.575140 | − | 0.818055i | \(-0.304948\pi\) |
0.192683 | + | 0.981261i | \(0.438281\pi\) | |||||||
\(338\) | −11.2265 | − | 12.4683i | −0.610644 | − | 0.678188i | ||||
\(339\) | 0.0679542 | + | 0.721712i | 0.00369076 | + | 0.0391980i | ||||
\(340\) | −0.499491 | − | 0.865143i | −0.0270887 | − | 0.0469190i | ||||
\(341\) | −5.98419 | − | 17.7725i | −0.324062 | − | 0.962435i | ||||
\(342\) | −2.43375 | + | 19.1518i | −0.131602 | + | 1.03561i | ||||
\(343\) | −3.79528 | − | 2.75744i | −0.204926 | − | 0.148888i | ||||
\(344\) | −4.09594 | + | 0.870619i | −0.220838 | + | 0.0469406i | ||||
\(345\) | 15.6585 | + | 27.8133i | 0.843026 | + | 1.49742i | ||||
\(346\) | 2.64462 | + | 25.1619i | 0.142176 | + | 1.35271i | ||||
\(347\) | 1.76049 | + | 16.7500i | 0.0945082 | + | 0.899185i | 0.934351 | + | 0.356355i | \(0.115981\pi\) |
−0.839842 | + | 0.542830i | \(0.817353\pi\) | |||||||
\(348\) | 0.636650 | + | 0.00690133i | 0.0341280 | + | 0.000369950i | ||||
\(349\) | −29.9106 | + | 6.35769i | −1.60108 | + | 0.340319i | −0.920008 | − | 0.391899i | \(-0.871818\pi\) |
−0.681069 | + | 0.732219i | \(0.738485\pi\) | |||||||
\(350\) | 2.81924 | + | 2.04830i | 0.150695 | + | 0.109486i | ||||
\(351\) | −0.433523 | − | 5.99396i | −0.0231397 | − | 0.319934i | ||||
\(352\) | −1.06472 | − | 0.756405i | −0.0567496 | − | 0.0403165i | ||||
\(353\) | −0.243243 | − | 0.421309i | −0.0129465 | − | 0.0224240i | 0.859480 | − | 0.511170i | \(-0.170788\pi\) |
−0.872426 | + | 0.488746i | \(0.837454\pi\) | |||||||
\(354\) | 23.4637 | − | 16.6618i | 1.24708 | − | 0.885564i | ||||
\(355\) | −5.65121 | − | 6.27630i | −0.299935 | − | 0.333112i | ||||
\(356\) | 0.235698 | + | 0.0500993i | 0.0124920 | + | 0.00265526i | ||||
\(357\) | 1.62925 | − | 1.77049i | 0.0862289 | − | 0.0937041i | ||||
\(358\) | −21.1362 | − | 9.41045i | −1.11708 | − | 0.497358i | ||||
\(359\) | 10.5622 | + | 32.5072i | 0.557453 | + | 1.71566i | 0.689377 | + | 0.724403i | \(0.257884\pi\) |
−0.131924 | + | 0.991260i | \(0.542116\pi\) | |||||||
\(360\) | −2.41069 | − | 28.9635i | −0.127054 | − | 1.52651i | ||||
\(361\) | −0.816851 | − | 0.593477i | −0.0429921 | − | 0.0312356i | ||||
\(362\) | 10.6872 | + | 18.5108i | 0.561709 | + | 0.972908i | ||||
\(363\) | 12.8954 | + | 14.0253i | 0.676835 | + | 0.736135i | ||||
\(364\) | 0.0136061 | − | 0.0235664i | 0.000713152 | − | 0.00123522i | ||||
\(365\) | 10.7446 | − | 4.78379i | 0.562396 | − | 0.250395i | ||||
\(366\) | 18.0148 | − | 7.78784i | 0.941650 | − | 0.407077i | ||||
\(367\) | −1.58155 | + | 1.75649i | −0.0825562 | + | 0.0916879i | −0.783008 | − | 0.622012i | \(-0.786315\pi\) |
0.700451 | + | 0.713700i | \(0.252982\pi\) | |||||||
\(368\) | 17.6688 | − | 12.8372i | 0.921052 | − | 0.669183i | ||||
\(369\) | 17.3725 | − | 28.6379i | 0.904377 | − | 1.49083i | ||||
\(370\) | −5.56331 | − | 17.1221i | −0.289223 | − | 0.890136i | ||||
\(371\) | 0.666474 | − | 0.141663i | 0.0346016 | − | 0.00735479i | ||||
\(372\) | 0.620042 | + | 0.284153i | 0.0321477 | + | 0.0147327i | ||||
\(373\) | 11.4332 | − | 19.8028i | 0.591987 | − | 1.02535i | −0.401978 | − | 0.915649i | \(-0.631677\pi\) |
0.993965 | − | 0.109701i | \(-0.0349895\pi\) | |||||||
\(374\) | 17.8369 | − | 8.16974i | 0.922325 | − | 0.422447i | ||||
\(375\) | −4.18652 | + | 12.4249i | −0.216191 | + | 0.641618i | ||||
\(376\) | 2.56066 | − | 24.3631i | 0.132056 | − | 1.25643i | ||||
\(377\) | 1.88638 | − | 5.80568i | 0.0971535 | − | 0.299008i | ||||
\(378\) | −2.33932 | + | 0.951649i | −0.120321 | + | 0.0489475i | ||||
\(379\) | −21.9257 | + | 15.9299i | −1.12625 | + | 0.818266i | −0.985144 | − | 0.171729i | \(-0.945065\pi\) |
−0.141102 | + | 0.989995i | \(0.545065\pi\) | |||||||
\(380\) | −0.992837 | − | 0.442039i | −0.0509314 | − | 0.0226761i | ||||
\(381\) | 15.9772 | + | 0.173193i | 0.818534 | + | 0.00887297i | ||||
\(382\) | −1.30387 | − | 1.44809i | −0.0667116 | − | 0.0740908i | ||||
\(383\) | 19.1807 | − | 8.53979i | 0.980087 | − | 0.436363i | 0.146777 | − | 0.989170i | \(-0.453110\pi\) |
0.833309 | + | 0.552807i | \(0.186443\pi\) | |||||||
\(384\) | −20.1526 | + | 4.05577i | −1.02841 | + | 0.206970i | ||||
\(385\) | −2.58454 | + | 2.93251i | −0.131720 | + | 0.149454i | ||||
\(386\) | −32.1366 | −1.63571 | ||||||||
\(387\) | −3.09905 | + | 3.29529i | −0.157533 | + | 0.167509i | ||||
\(388\) | −0.280601 | + | 0.863601i | −0.0142454 | + | 0.0438427i | ||||
\(389\) | 4.72015 | − | 5.24225i | 0.239321 | − | 0.265793i | −0.611505 | − | 0.791241i | \(-0.709436\pi\) |
0.850826 | + | 0.525448i | \(0.176102\pi\) | |||||||
\(390\) | 9.81057 | + | 2.19671i | 0.496777 | + | 0.111235i | ||||
\(391\) | 2.27038 | + | 21.6012i | 0.114818 | + | 1.09242i | ||||
\(392\) | −18.7046 | − | 3.97578i | −0.944724 | − | 0.200807i | ||||
\(393\) | −24.4447 | + | 10.5675i | −1.23307 | + | 0.533060i | ||||
\(394\) | −1.31528 | + | 12.5141i | −0.0662630 | + | 0.630450i | ||||
\(395\) | −29.7842 | −1.49860 | ||||||||
\(396\) | −0.692907 | − | 0.00765805i | −0.0348199 | − | 0.000384831i | ||||
\(397\) | 1.54426 | 0.0775042 | 0.0387521 | − | 0.999249i | \(-0.487662\pi\) | ||||
0.0387521 | + | 0.999249i | \(0.487662\pi\) | |||||||
\(398\) | −0.961112 | + | 9.14437i | −0.0481762 | + | 0.458366i | ||||
\(399\) | 0.301809 | − | 2.60009i | 0.0151094 | − | 0.130167i | ||||
\(400\) | 28.9957 | + | 6.16323i | 1.44979 | + | 0.308162i | ||||
\(401\) | −2.31661 | − | 22.0411i | −0.115686 | − | 1.10068i | −0.886215 | − | 0.463274i | \(-0.846674\pi\) |
0.770529 | − | 0.637405i | \(-0.219992\pi\) | |||||||
\(402\) | −3.11418 | − | 9.95017i | −0.155321 | − | 0.496270i | ||||
\(403\) | 4.37571 | − | 4.85972i | 0.217970 | − | 0.242080i | ||||
\(404\) | −0.0469894 | + | 0.144619i | −0.00233781 | + | 0.00719505i | ||||
\(405\) | −19.9775 | − | 24.2211i | −0.992690 | − | 1.20356i | ||||
\(406\) | −2.56533 | −0.127315 | ||||||||
\(407\) | 11.6106 | − | 2.59717i | 0.575515 | − | 0.128737i | ||||
\(408\) | 6.31517 | − | 18.7424i | 0.312648 | − | 0.927885i | ||||
\(409\) | −4.32674 | + | 1.92639i | −0.213944 | + | 0.0952538i | −0.510910 | − | 0.859634i | \(-0.670692\pi\) |
0.296967 | + | 0.954888i | \(0.404025\pi\) | |||||||
\(410\) | 37.4942 | + | 41.6416i | 1.85171 | + | 2.05653i | ||||
\(411\) | −1.66676 | − | 2.96056i | −0.0822150 | − | 0.146034i | ||||
\(412\) | 0.0554505 | + | 0.0246882i | 0.00273185 | + | 0.00121630i | ||||
\(413\) | −3.15660 | + | 2.29341i | −0.155326 | + | 0.112851i | ||||
\(414\) | 7.51344 | − | 21.5247i | 0.369265 | − | 1.05788i | ||||
\(415\) | 12.2210 | − | 37.6123i | 0.599904 | − | 1.84631i | ||||
\(416\) | 0.0476062 | − | 0.452943i | 0.00233409 | − | 0.0222073i | ||||
\(417\) | 20.2047 | + | 22.9347i | 0.989426 | + | 1.12312i | ||||
\(418\) | 10.4747 | − | 18.5963i | 0.512333 | − | 0.909576i | ||||
\(419\) | −20.1474 | + | 34.8963i | −0.984265 | + | 1.70480i | −0.339109 | + | 0.940747i | \(0.610125\pi\) |
−0.645157 | + | 0.764050i | \(0.723208\pi\) | |||||||
\(420\) | −0.0133272 | − | 0.141542i | −0.000650298 | − | 0.00690654i | ||||
\(421\) | 13.3067 | − | 2.82842i | 0.648528 | − | 0.137849i | 0.128109 | − | 0.991760i | \(-0.459109\pi\) |
0.520419 | + | 0.853911i | \(0.325776\pi\) | |||||||
\(422\) | 2.93146 | + | 9.02210i | 0.142701 | + | 0.439189i | ||||
\(423\) | −12.7320 | − | 23.1999i | −0.619052 | − | 1.12802i | ||||
\(424\) | 4.53114 | − | 3.29207i | 0.220052 | − | 0.159877i | ||||
\(425\) | −19.7267 | + | 21.9087i | −0.956884 | + | 1.06273i | ||||
\(426\) | −0.695559 | + | 5.99224i | −0.0336999 | + | 0.290325i | ||||
\(427\) | −2.43091 | + | 1.08231i | −0.117640 | + | 0.0523768i | ||||
\(428\) | −0.214556 | + | 0.371622i | −0.0103710 | + | 0.0179630i | ||||
\(429\) | −2.05441 | + | 6.31827i | −0.0991880 | + | 0.305049i | ||||
\(430\) | −3.78377 | − | 6.55369i | −0.182470 | − | 0.316047i | ||||
\(431\) | −6.35439 | − | 4.61673i | −0.306080 | − | 0.222380i | 0.424133 | − | 0.905600i | \(-0.360579\pi\) |
−0.730213 | + | 0.683220i | \(0.760579\pi\) | |||||||
\(432\) | −14.8865 | + | 15.4893i | −0.716228 | + | 0.745229i | ||||
\(433\) | 0.426664 | + | 1.31314i | 0.0205041 | + | 0.0631053i | 0.960785 | − | 0.277294i | \(-0.0894377\pi\) |
−0.940281 | + | 0.340400i | \(0.889438\pi\) | |||||||
\(434\) | −2.51053 | − | 1.11776i | −0.120509 | − | 0.0536541i | ||||
\(435\) | −9.52591 | − | 30.4364i | −0.456732 | − | 1.45932i | ||||
\(436\) | 0.797097 | + | 0.169428i | 0.0381740 | + | 0.00811414i | ||||
\(437\) | 15.8112 | + | 17.5601i | 0.756352 | + | 0.840014i | ||||
\(438\) | −7.63707 | − | 3.49992i | −0.364913 | − | 0.167233i | ||||
\(439\) | 2.75465 | + | 4.77119i | 0.131472 | + | 0.227717i | 0.924244 | − | 0.381802i | \(-0.124696\pi\) |
−0.792772 | + | 0.609518i | \(0.791363\pi\) | |||||||
\(440\) | −9.60372 | + | 30.6622i | −0.457840 | + | 1.46177i | ||||
\(441\) | −19.0494 | + | 7.99113i | −0.907112 | + | 0.380530i | ||||
\(442\) | 5.53478 | + | 4.02125i | 0.263263 | + | 0.191272i | ||||
\(443\) | −1.07923 | + | 0.229397i | −0.0512756 | + | 0.0108990i | −0.233478 | − | 0.972362i | \(-0.575011\pi\) |
0.182202 | + | 0.983261i | \(0.441677\pi\) | |||||||
\(444\) | −0.220408 | + | 0.372377i | −0.0104601 | + | 0.0176722i | ||||
\(445\) | −1.26167 | − | 12.0040i | −0.0598090 | − | 0.569044i | ||||
\(446\) | 1.00707 | + | 9.58158i | 0.0476859 | + | 0.453701i | ||||
\(447\) | −0.595118 | + | 1.00545i | −0.0281481 | + | 0.0475560i | ||||
\(448\) | 2.54532 | − | 0.541024i | 0.120255 | − | 0.0255610i | ||||
\(449\) | −1.16721 | − | 0.848031i | −0.0550843 | − | 0.0400211i | 0.559902 | − | 0.828559i | \(-0.310839\pi\) |
−0.614987 | + | 0.788538i | \(0.710839\pi\) | |||||||
\(450\) | 28.5353 | − | 11.9705i | 1.34517 | − | 0.564293i | ||||
\(451\) | −29.7252 | + | 22.0831i | −1.39971 | + | 1.03985i | ||||
\(452\) | 0.0145738 | + | 0.0252426i | 0.000685496 | + | 0.00118731i | ||||
\(453\) | 8.69806 | + | 3.98615i | 0.408671 | + | 0.187286i | ||||
\(454\) | −5.91762 | − | 6.57218i | −0.277728 | − | 0.308448i | ||||
\(455\) | −1.33330 | − | 0.283401i | −0.0625059 | − | 0.0132860i | ||||
\(456\) | −6.42668 | − | 20.5340i | −0.300957 | − | 0.961593i | ||||
\(457\) | −27.5593 | − | 12.2702i | −1.28917 | − | 0.573976i | −0.356362 | − | 0.934348i | \(-0.615983\pi\) |
−0.932809 | + | 0.360372i | \(0.882650\pi\) | |||||||
\(458\) | −10.1874 | − | 31.3537i | −0.476027 | − | 1.46506i | ||||
\(459\) | −5.93813 | − | 20.5237i | −0.277168 | − | 0.957962i | ||||
\(460\) | 1.03829 | + | 0.754362i | 0.0484105 | + | 0.0351723i | ||||
\(461\) | 13.3385 | + | 23.1030i | 0.621237 | + | 1.07601i | 0.989256 | + | 0.146195i | \(0.0467028\pi\) |
−0.368019 | + | 0.929818i | \(0.619964\pi\) | |||||||
\(462\) | 2.79202 | 0.000591809i | 0.129897 | 2.75335e-5i | ||||||
\(463\) | −0.348740 | + | 0.604035i | −0.0162073 | + | 0.0280719i | −0.874015 | − | 0.485898i | \(-0.838493\pi\) |
0.857808 | + | 0.513970i | \(0.171826\pi\) | |||||||
\(464\) | −19.9356 | + | 8.87588i | −0.925485 | + | 0.412053i | ||||
\(465\) | 3.93926 | − | 33.9368i | 0.182679 | − | 1.57378i | ||||
\(466\) | −11.3547 | + | 12.6107i | −0.525998 | + | 0.584180i | ||||
\(467\) | −25.9087 | + | 18.8238i | −1.19891 | + | 0.871061i | −0.994177 | − | 0.107756i | \(-0.965633\pi\) |
−0.204736 | + | 0.978817i | \(0.565633\pi\) | |||||||
\(468\) | −0.116256 | − | 0.211837i | −0.00537392 | − | 0.00979217i | ||||
\(469\) | 0.436828 | + | 1.34442i | 0.0201709 | + | 0.0620795i | ||||
\(470\) | 43.3040 | − | 9.20456i | 1.99747 | − | 0.424575i | ||||
\(471\) | −0.129052 | − | 1.37061i | −0.00594642 | − | 0.0631543i | ||||
\(472\) | −16.0363 | + | 27.7757i | −0.738130 | + | 1.27848i | ||||
\(473\) | 4.54680 | − | 2.08254i | 0.209062 | − | 0.0957555i | ||||
\(474\) | 14.0629 | + | 15.9631i | 0.645931 | + | 0.733209i | ||||
\(475\) | −3.35249 | + | 31.8968i | −0.153823 | + | 1.46353i | ||||
\(476\) | 0.0298958 | − | 0.0920098i | 0.00137027 | − | 0.00421726i | ||||
\(477\) | 1.99398 | − | 5.71242i | 0.0912983 | − | 0.261554i | ||||
\(478\) | 11.2346 | − | 8.16240i | 0.513858 | − | 0.373339i | ||||
\(479\) | −20.0874 | − | 8.94350i | −0.917818 | − | 0.408639i | −0.107216 | − | 0.994236i | \(-0.534194\pi\) |
−0.810603 | + | 0.585597i | \(0.800860\pi\) | |||||||
\(480\) | −1.16730 | − | 2.07340i | −0.0532795 | − | 0.0946372i | ||||
\(481\) | 2.77610 | + | 3.08317i | 0.126579 | + | 0.140581i | ||||
\(482\) | −9.55051 | + | 4.25216i | −0.435014 | + | 0.193681i | ||||
\(483\) | −0.987001 | + | 2.92925i | −0.0449101 | + | 0.133286i | ||||
\(484\) | 0.706317 | + | 0.296650i | 0.0321053 | + | 0.0134841i | ||||
\(485\) | 45.4848 | 2.06536 | ||||||||
\(486\) | −3.54891 | + | 22.1434i | −0.160982 | + | 1.00444i | ||||
\(487\) | 5.41429 | − | 16.6635i | 0.245345 | − | 0.755094i | −0.750235 | − | 0.661172i | \(-0.770060\pi\) |
0.995580 | − | 0.0939221i | \(-0.0299405\pi\) | |||||||
\(488\) | −14.6360 | + | 16.2549i | −0.662540 | + | 0.735825i | ||||
\(489\) | 7.45233 | + | 23.8111i | 0.337006 | + | 1.07678i | ||||
\(490\) | −3.61230 | − | 34.3688i | −0.163187 | − | 1.55262i | ||||
\(491\) | 0.196876 | + | 0.0418474i | 0.00888490 | + | 0.00188854i | 0.212352 | − | 0.977193i | \(-0.431888\pi\) |
−0.203467 | + | 0.979082i | \(0.565221\pi\) | |||||||
\(492\) | 0.155291 | − | 1.33783i | 0.00700104 | − | 0.0603140i | ||||
\(493\) | 2.26854 | − | 21.5837i | 0.102170 | − | 0.972081i | ||||
\(494\) | 7.44274 | 0.334865 | ||||||||
\(495\) | 10.3607 | + | 33.1282i | 0.465677 | + | 1.48900i | ||||
\(496\) | −23.3770 | −1.04966 | ||||||||
\(497\) | 0.0854940 | − | 0.813421i | 0.00383493 | − | 0.0364869i | ||||
\(498\) | −25.9289 | + | 11.2091i | −1.16190 | + | 0.502292i | ||||
\(499\) | 23.8697 | + | 5.07366i | 1.06855 | + | 0.227128i | 0.708434 | − | 0.705777i | \(-0.249402\pi\) |
0.360121 | + | 0.932906i | \(0.382736\pi\) | |||||||
\(500\) | 0.0551063 | + | 0.524302i | 0.00246443 | + | 0.0234475i | ||||
\(501\) | 22.9374 | + | 5.13598i | 1.02477 | + | 0.229459i | ||||
\(502\) | −12.6514 | + | 14.0508i | −0.564658 | + | 0.627117i | ||||
\(503\) | −5.13640 | + | 15.8082i | −0.229021 | + | 0.704853i | 0.768838 | + | 0.639444i | \(0.220835\pi\) |
−0.997859 | + | 0.0654093i | \(0.979165\pi\) | |||||||
\(504\) | 1.92825 | − | 2.05035i | 0.0858911 | − | 0.0913301i | ||||
\(505\) | 7.61689 | 0.338947 | ||||||||
\(506\) | −16.6651 | + | 18.9088i | −0.740853 | + | 0.840597i | ||||
\(507\) | 19.8028 | − | 3.98537i | 0.879473 | − | 0.176996i | ||||
\(508\) | 0.586919 | − | 0.261313i | 0.0260403 | − | 0.0115939i | ||||
\(509\) | 11.2998 | + | 12.5497i | 0.500853 | + | 0.556254i | 0.939563 | − | 0.342375i | \(-0.111231\pi\) |
−0.438710 | + | 0.898629i | \(0.644565\pi\) | |||||||
\(510\) | 35.7401 | + | 0.387425i | 1.58260 | + | 0.0171555i | ||||
\(511\) | 1.04054 | + | 0.463278i | 0.0460308 | + | 0.0204942i | ||||
\(512\) | 17.2604 | − | 12.5404i | 0.762810 | − | 0.554214i | ||||
\(513\) | −18.3503 | − | 14.2664i | −0.810184 | − | 0.629876i | ||||
\(514\) | −0.811886 | + | 2.49873i | −0.0358108 | + | 0.110214i | ||||
\(515\) | 0.317811 | − | 3.02377i | 0.0140044 | − | 0.133243i | ||||
\(516\) | −0.0580788 | + | 0.172368i | −0.00255678 | + | 0.00758808i | ||||
\(517\) | 3.36724 | + | 29.0625i | 0.148091 | + | 1.27817i | ||||
\(518\) | 0.871748 | − | 1.50991i | 0.0383024 | − | 0.0663418i | ||||
\(519\) | −27.6914 | − | 12.6904i | −1.21552 | − | 0.557048i | ||||
\(520\) | −10.9597 | + | 2.32955i | −0.480614 | + | 0.102158i | ||||
\(521\) | −5.89465 | − | 18.1419i | −0.258249 | − | 0.794809i | −0.993172 | − | 0.116658i | \(-0.962782\pi\) |
0.734923 | − | 0.678151i | \(-0.237218\pi\) | |||||||
\(522\) | −11.8149 | + | 19.4764i | −0.517124 | + | 0.852458i | ||||
\(523\) | 12.1874 | − | 8.85469i | 0.532919 | − | 0.387189i | −0.288529 | − | 0.957471i | \(-0.593166\pi\) |
0.821449 | + | 0.570283i | \(0.193166\pi\) | |||||||
\(524\) | −0.716512 | + | 0.795767i | −0.0313010 | + | 0.0347632i | ||||
\(525\) | −3.85109 | + | 1.66483i | −0.168075 | + | 0.0726592i | ||||
\(526\) | 6.93183 | − | 3.08625i | 0.302242 | − | 0.134567i | ||||
\(527\) | 11.6245 | − | 20.1341i | 0.506369 | − | 0.877057i | ||||
\(528\) | 21.6992 | − | 9.65561i | 0.944338 | − | 0.420207i | ||||
\(529\) | −2.45203 | − | 4.24705i | −0.106610 | − | 0.184654i | ||||
\(530\) | 8.18868 | + | 5.94942i | 0.355693 | + | 0.258426i | ||||
\(531\) | 2.87383 | + | 34.5280i | 0.124713 | + | 1.49839i | ||||
\(532\) | −0.0325237 | − | 0.100098i | −0.00141008 | − | 0.00433979i | ||||
\(533\) | −11.7966 | − | 5.25219i | −0.510968 | − | 0.227498i | ||||
\(534\) | −5.83794 | + | 6.34403i | −0.252632 | + | 0.274533i | ||||
\(535\) | 21.0250 | + | 4.46899i | 0.908988 | + | 0.193211i | ||||
\(536\) | 7.77518 | + | 8.63521i | 0.335837 | + | 0.372984i | ||||
\(537\) | 22.7117 | − | 16.1278i | 0.980081 | − | 0.695965i | ||||
\(538\) | 12.4825 | + | 21.6203i | 0.538158 | + | 0.932117i | ||||
\(539\) | 22.8365 | − | 0.242708i | 0.983639 | − | 0.0104542i | ||||
\(540\) | −1.13599 | − | 0.550705i | −0.0488851 | − | 0.0236986i | ||||
\(541\) | 5.44671 | + | 3.95727i | 0.234172 | + | 0.170136i | 0.698683 | − | 0.715431i | \(-0.253770\pi\) |
−0.464511 | + | 0.885568i | \(0.653770\pi\) | |||||||
\(542\) | −11.4154 | + | 2.42642i | −0.490333 | + | 0.104223i | ||||
\(543\) | −25.7325 | − | 0.278942i | −1.10429 | − | 0.0119706i | ||||
\(544\) | −0.169250 | − | 1.61030i | −0.00725652 | − | 0.0690412i | ||||
\(545\) | −4.26678 | − | 40.5957i | −0.182769 | − | 1.73893i | ||||
\(546\) | 0.477639 | + | 0.848403i | 0.0204411 | + | 0.0363083i | ||||
\(547\) | −9.08943 | + | 1.93202i | −0.388636 | + | 0.0826071i | −0.398086 | − | 0.917348i | \(-0.630325\pi\) |
0.00944982 | + | 0.999955i | \(0.496992\pi\) | |||||||
\(548\) | −0.110520 | − | 0.0802974i | −0.00472117 | − | 0.00343013i | ||||
\(549\) | −2.97875 | + | 23.4406i | −0.127130 | + | 1.00042i | ||||
\(550\) | −34.2084 | + | 0.363569i | −1.45865 | + | 0.0155027i | ||||
\(551\) | −11.8052 | − | 20.4471i | −0.502917 | − | 0.871077i | ||||
\(552\) | 2.38185 | + | 25.2966i | 0.101378 | + | 1.07670i | ||||
\(553\) | −1.93004 | − | 2.14353i | −0.0820737 | − | 0.0911521i | ||||
\(554\) | 27.3870 | + | 5.82129i | 1.16356 | + | 0.247323i | ||||
\(555\) | 21.1515 | + | 4.73608i | 0.897830 | + | 0.201035i | ||||
\(556\) | 1.12274 | + | 0.499877i | 0.0476148 | + | 0.0211995i | ||||
\(557\) | −10.5763 | − | 32.5504i | −0.448131 | − | 1.37921i | −0.879013 | − | 0.476798i | \(-0.841797\pi\) |
0.430882 | − | 0.902408i | \(-0.358203\pi\) | |||||||
\(558\) | −20.0487 | + | 13.9123i | −0.848728 | + | 0.588956i | ||||
\(559\) | 1.41087 | + | 1.02506i | 0.0596734 | + | 0.0433553i | ||||
\(560\) | 2.43637 | + | 4.21992i | 0.102956 | + | 0.178324i | ||||
\(561\) | −2.47398 | + | 23.4905i | −0.104452 | + | 0.991768i | ||||
\(562\) | −20.8522 | + | 36.1170i | −0.879596 | + | 1.52350i | ||||
\(563\) | −9.49854 | + | 4.22902i | −0.400316 | + | 0.178232i | −0.597012 | − | 0.802233i | \(-0.703645\pi\) |
0.196696 | + | 0.980464i | \(0.436979\pi\) | |||||||
\(564\) | −0.854035 | − | 0.634749i | −0.0359614 | − | 0.0267278i | ||||
\(565\) | 0.976955 | − | 1.08502i | 0.0411008 | − | 0.0456470i | ||||
\(566\) | −11.3770 | + | 8.26589i | −0.478212 | + | 0.347441i | ||||
\(567\) | 0.448600 | − | 3.00730i | 0.0188394 | − | 0.126295i | ||||
\(568\) | −2.07757 | − | 6.39409i | −0.0871727 | − | 0.268290i | ||||
\(569\) | 18.6011 | − | 3.95378i | 0.779797 | − | 0.165751i | 0.199219 | − | 0.979955i | \(-0.436160\pi\) |
0.580579 | + | 0.814204i | \(0.302826\pi\) | |||||||
\(570\) | 31.7038 | − | 22.5132i | 1.32793 | − | 0.942973i | ||||
\(571\) | 15.5552 | − | 26.9425i | 0.650966 | − | 1.12751i | −0.331922 | − | 0.943307i | \(-0.607697\pi\) |
0.982889 | − | 0.184200i | \(-0.0589694\pi\) | |||||||
\(572\) | 0.0307461 | + | 0.265369i | 0.00128556 | + | 0.0110956i | ||||
\(573\) | 2.29992 | − | 0.462866i | 0.0960807 | − | 0.0193365i | ||||
\(574\) | −0.567229 | + | 5.39683i | −0.0236757 | + | 0.225259i | ||||
\(575\) | 11.7039 | − | 36.0208i | 0.488085 | − | 1.50217i | ||||
\(576\) | 7.61519 | − | 21.8162i | 0.317300 | − | 0.909008i | ||||
\(577\) | −8.81901 | + | 6.40738i | −0.367140 | + | 0.266743i | −0.756024 | − | 0.654544i | \(-0.772861\pi\) |
0.388884 | + | 0.921287i | \(0.372861\pi\) | |||||||
\(578\) | −0.122576 | − | 0.0545745i | −0.00509850 | − | 0.00227000i | ||||
\(579\) | 19.7077 | − | 33.2960i | 0.819024 | − | 1.38373i | ||||
\(580\) | −0.858065 | − | 0.952978i | −0.0356292 | − | 0.0395702i | ||||
\(581\) | 3.49884 | − | 1.55778i | 0.145156 | − | 0.0646277i | ||||
\(582\) | −21.4761 | − | 24.3780i | −0.890215 | − | 1.01050i | ||||
\(583\) | −4.42273 | + | 5.01818i | −0.183171 | + | 0.207832i | ||||
\(584\) | 9.36268 | 0.387430 | ||||||||
\(585\) | −8.29226 | + | 8.81736i | −0.342843 | + | 0.364553i | ||||
\(586\) | 11.2068 | − | 34.4911i | 0.462950 | − | 1.42482i | ||||
\(587\) | 15.0808 | − | 16.7489i | 0.622452 | − | 0.691303i | −0.346641 | − | 0.937998i | \(-0.612678\pi\) |
0.969093 | + | 0.246695i | \(0.0793446\pi\) | |||||||
\(588\) | −0.562452 | + | 0.611211i | −0.0231951 | + | 0.0252059i | ||||
\(589\) | −2.64379 | − | 25.1540i | −0.108936 | − | 1.03645i | ||||
\(590\) | −56.6950 | − | 12.0509i | −2.33409 | − | 0.496127i | ||||
\(591\) | −12.1589 | − | 9.03696i | −0.500152 | − | 0.371731i | ||||
\(592\) | 1.55028 | − | 14.7499i | 0.0637162 | − | 0.606219i | ||||
\(593\) | −39.7293 | −1.63148 | −0.815742 | − | 0.578415i | \(-0.803671\pi\) | ||||
−0.815742 | + | 0.578415i | \(0.803671\pi\) | |||||||
\(594\) | 12.8634 | − | 21.1947i | 0.527793 | − | 0.869630i | ||||
\(595\) | −4.84604 | −0.198668 | ||||||||
\(596\) | −0.00491064 | + | 0.0467216i | −0.000201148 | + | 0.00191379i | ||||
\(597\) | −8.88485 | − | 6.60354i | −0.363633 | − | 0.270265i | ||||
\(598\) | −8.59708 | − | 1.82737i | −0.351561 | − | 0.0747266i | ||||
\(599\) | −0.860077 | − | 8.18308i | −0.0351418 | − | 0.334352i | −0.997941 | − | 0.0641348i | \(-0.979571\pi\) |
0.962799 | − | 0.270217i | \(-0.0870954\pi\) | |||||||
\(600\) | −23.3529 | + | 25.3774i | −0.953380 | + | 1.03603i | ||||
\(601\) | −15.3864 | + | 17.0883i | −0.627623 | + | 0.697046i | −0.970162 | − | 0.242457i | \(-0.922047\pi\) |
0.342539 | + | 0.939504i | \(0.388713\pi\) | |||||||
\(602\) | 0.226469 | − | 0.696998i | 0.00923017 | − | 0.0284075i | ||||
\(603\) | 12.2189 | + | 2.87540i | 0.497592 | + | 0.117095i | ||||
\(604\) | 0.384718 | 0.0156539 | ||||||||
\(605\) | 3.19914 | − | 38.2403i | 0.130063 | − | 1.55469i | ||||
\(606\) | −3.59640 | − | 4.08234i | −0.146094 | − | 0.165834i | ||||
\(607\) | 0.0399764 | − | 0.0177987i | 0.00162259 | − | 0.000722425i | −0.405925 | − | 0.913906i | \(-0.633051\pi\) |
0.407548 | + | 0.913184i | \(0.366384\pi\) | |||||||
\(608\) | −1.17868 | − | 1.30905i | −0.0478017 | − | 0.0530891i | ||||
\(609\) | 1.57318 | − | 2.65788i | 0.0637486 | − | 0.107703i | ||||
\(610\) | −36.1116 | − | 16.0779i | −1.46212 | − | 0.650977i | ||||
\(611\) | −8.25383 | + | 5.99676i | −0.333914 | + | 0.242603i | ||||
\(612\) | −0.560864 | − | 0.650734i | −0.0226716 | − | 0.0263044i | ||||
\(613\) | −9.45678 | + | 29.1050i | −0.381956 | + | 1.17554i | 0.556709 | + | 0.830708i | \(0.312064\pi\) |
−0.938665 | + | 0.344832i | \(0.887936\pi\) | |||||||
\(614\) | −0.673177 | + | 6.40486i | −0.0271672 | + | 0.258479i | ||||
\(615\) | −66.1371 | + | 13.3103i | −2.66690 | + | 0.536722i | ||||
\(616\) | −2.82905 | + | 1.29577i | −0.113986 | + | 0.0522082i | ||||
\(617\) | 4.32264 | − | 7.48703i | 0.174023 | − | 0.301416i | −0.765800 | − | 0.643079i | \(-0.777657\pi\) |
0.939823 | + | 0.341663i | \(0.110990\pi\) | |||||||
\(618\) | −1.77068 | + | 1.25737i | −0.0712270 | + | 0.0505790i | ||||
\(619\) | 32.9693 | − | 7.00785i | 1.32515 | − | 0.281669i | 0.509628 | − | 0.860395i | \(-0.329783\pi\) |
0.815522 | + | 0.578726i | \(0.196450\pi\) | |||||||
\(620\) | −0.424505 | − | 1.30649i | −0.0170485 | − | 0.0524700i | ||||
\(621\) | 17.6936 | + | 20.9844i | 0.710019 | + | 0.842077i | ||||
\(622\) | 26.3752 | − | 19.1627i | 1.05755 | − | 0.768354i | ||||
\(623\) | 0.782156 | − | 0.868672i | 0.0313364 | − | 0.0348026i | ||||
\(624\) | 6.64722 | + | 4.94046i | 0.266102 | + | 0.197777i | ||||
\(625\) | −8.62574 | + | 3.84043i | −0.345029 | + | 0.153617i | ||||
\(626\) | −12.0001 | + | 20.7848i | −0.479620 | + | 0.830726i | ||||
\(627\) | 12.8436 | + | 22.2567i | 0.512925 | + | 0.888847i | ||||
\(628\) | −0.0276773 | − | 0.0479385i | −0.00110444 | − | 0.00191295i | ||||
\(629\) | 11.9329 | + | 8.66978i | 0.475797 | + | 0.345687i | ||||
\(630\) | 4.60089 | + | 2.16915i | 0.183304 | + | 0.0864209i | ||||
\(631\) | 4.15555 | + | 12.7895i | 0.165430 | + | 0.509140i | 0.999068 | − | 0.0431710i | \(-0.0137460\pi\) |
−0.833638 | + | 0.552311i | \(0.813746\pi\) | |||||||
\(632\) | −21.6599 | − | 9.64363i | −0.861587 | − | 0.383603i | ||||
\(633\) | −11.1453 | − | 2.49557i | −0.442986 | − | 0.0991900i | ||||
\(634\) | 35.6971 | + | 7.58766i | 1.41771 | + | 0.301344i | ||||
\(635\) | −21.5337 | − | 23.9156i | −0.854539 | − | 0.949062i | ||||
\(636\) | −0.0228058 | − | 0.242210i | −0.000904308 | − | 0.00960427i | ||||
\(637\) | 3.98193 | + | 6.89690i | 0.157770 | + | 0.273265i | ||||
\(638\) | 20.2159 | − | 15.0185i | 0.800354 | − | 0.594589i | ||||
\(639\) | −5.78186 | − | 4.39538i | −0.228727 | − | 0.173878i | ||||
\(640\) | 33.4960 | + | 24.3363i | 1.32405 | + | 0.961976i | ||||
\(641\) | 14.7011 | − | 3.12481i | 0.580657 | − | 0.123422i | 0.0917863 | − | 0.995779i | \(-0.470742\pi\) |
0.488871 | + | 0.872356i | \(0.337409\pi\) | |||||||
\(642\) | −7.53197 | − | 13.3786i | −0.297263 | − | 0.528011i | ||||
\(643\) | −1.34503 | − | 12.7971i | −0.0530426 | − | 0.504667i | −0.988499 | − | 0.151226i | \(-0.951678\pi\) |
0.935457 | − | 0.353441i | \(-0.114989\pi\) | |||||||
\(644\) | 0.0129917 | + | 0.123608i | 0.000511945 | + | 0.00487083i | ||||
\(645\) | 9.11050 | + | 0.0987585i | 0.358726 | + | 0.00388861i | ||||
\(646\) | 25.8823 | − | 5.50144i | 1.01832 | − | 0.216451i | ||||
\(647\) | 15.1827 | + | 11.0309i | 0.596894 | + | 0.433669i | 0.844775 | − | 0.535121i | \(-0.179734\pi\) |
−0.247881 | + | 0.968791i | \(0.579734\pi\) | |||||||
\(648\) | −6.68585 | − | 24.0827i | −0.262645 | − | 0.946058i | ||||
\(649\) | 11.4488 | − | 36.5531i | 0.449404 | − | 1.43483i | ||||
\(650\) | −5.96480 | − | 10.3313i | −0.233959 | − | 0.405228i | ||||
\(651\) | 2.69765 | − | 1.91563i | 0.105729 | − | 0.0750795i | ||||
\(652\) | 0.671284 | + | 0.745536i | 0.0262895 | + | 0.0291974i | ||||
\(653\) | 16.7669 | + | 3.56391i | 0.656138 | + | 0.139466i | 0.523938 | − | 0.851757i | \(-0.324462\pi\) |
0.132200 | + | 0.991223i | \(0.457796\pi\) | |||||||
\(654\) | −19.7430 | + | 21.4545i | −0.772014 | + | 0.838939i | ||||
\(655\) | 49.0007 | + | 21.8165i | 1.91461 | + | 0.852441i | ||||
\(656\) | 14.2647 | + | 43.9021i | 0.556941 | + | 1.71409i | ||||
\(657\) | 8.30960 | − | 5.76626i | 0.324188 | − | 0.224963i | ||||
\(658\) | 3.46858 | + | 2.52007i | 0.135219 | + | 0.0982427i | ||||
\(659\) | 20.2286 | + | 35.0370i | 0.787995 | + | 1.36485i | 0.927193 | + | 0.374583i | \(0.122214\pi\) |
−0.139198 | + | 0.990265i | \(0.544452\pi\) | |||||||
\(660\) | 0.933669 | + | 1.03739i | 0.0363430 | + | 0.0403802i | ||||
\(661\) | −13.2018 | + | 22.8661i | −0.513489 | + | 0.889390i | 0.486388 | + | 0.873743i | \(0.338314\pi\) |
−0.999878 | + | 0.0156469i | \(0.995019\pi\) | |||||||
\(662\) | 9.97301 | − | 4.44027i | 0.387612 | − | 0.172576i | ||||
\(663\) | −7.56051 | + | 3.26843i | −0.293626 | + | 0.126935i | ||||
\(664\) | 21.0657 | − | 23.3958i | 0.817507 | − | 0.907934i | ||||
\(665\) | −4.26516 | + | 3.09882i | −0.165396 | + | 0.120167i | ||||
\(666\) | −7.44856 | − | 13.5725i | −0.288626 | − | 0.525924i | ||||
\(667\) | 8.61585 | + | 26.5168i | 0.333607 | + | 1.02674i | ||||
\(668\) | 0.924476 | − | 0.196504i | 0.0357691 | − | 0.00760295i | ||||
\(669\) | −10.5448 | − | 4.83249i | −0.407686 | − | 0.186835i | ||||
\(670\) | −10.4997 | + | 18.1860i | −0.405638 | + | 0.702585i | ||||
\(671\) | 12.8203 | − | 22.7607i | 0.494922 | − | 0.878666i | ||||
\(672\) | 0.0735779 | − | 0.218367i | 0.00283833 | − | 0.00842368i | ||||
\(673\) | 2.32013 | − | 22.0746i | 0.0894346 | − | 0.850913i | −0.854205 | − | 0.519937i | \(-0.825955\pi\) |
0.943639 | − | 0.330976i | \(-0.107378\pi\) | |||||||
\(674\) | −6.40622 | + | 19.7163i | −0.246758 | + | 0.759444i | ||||
\(675\) | −5.09691 | + | 36.9056i | −0.196180 | + | 1.42050i | ||||
\(676\) | 0.657096 | − | 0.477409i | 0.0252729 | − | 0.0183619i | ||||
\(677\) | −33.8239 | − | 15.0594i | −1.29996 | − | 0.578779i | −0.364167 | − | 0.931333i | \(-0.618646\pi\) |
−0.935791 | + | 0.352555i | \(0.885313\pi\) | |||||||
\(678\) | −1.04280 | − | 0.0113041i | −0.0400487 | − | 0.000434130i | ||||
\(679\) | 2.94746 | + | 3.27348i | 0.113113 | + | 0.125625i | ||||
\(680\) | −36.3906 | + | 16.2021i | −1.39551 | + | 0.621323i | ||||
\(681\) | 10.4382 | − | 2.10073i | 0.399994 | − | 0.0805000i | ||||
\(682\) | 26.3278 | − | 5.88927i | 1.00814 | − | 0.225512i | ||||
\(683\) | 27.2029 | 1.04089 | 0.520445 | − | 0.853895i | \(-0.325766\pi\) | ||||
0.520445 | + | 0.853895i | \(0.325766\pi\) | |||||||
\(684\) | −0.909749 | − | 0.214086i | −0.0347851 | − | 0.00818576i | ||||
\(685\) | −2.11458 | + | 6.50801i | −0.0807940 | + | 0.248658i | ||||
\(686\) | 4.51591 | − | 5.01543i | 0.172418 | − | 0.191490i | ||||
\(687\) | 38.7322 | + | 8.67262i | 1.47772 | + | 0.330881i | ||||
\(688\) | −0.651651 | − | 6.20004i | −0.0248439 | − | 0.236374i | ||||
\(689\) | −2.28157 | − | 0.484963i | −0.0869210 | − | 0.0184756i | ||||
\(690\) | −42.1484 | + | 18.2209i | −1.60456 | + | 0.693656i | ||||
\(691\) | −1.55756 | + | 14.8192i | −0.0592522 | + | 0.563747i | 0.924114 | + | 0.382116i | \(0.124804\pi\) |
−0.983367 | + | 0.181631i | \(0.941862\pi\) | |||||||
\(692\) | −1.22480 | −0.0465598 | ||||||||
\(693\) | −1.71281 | + | 2.89238i | −0.0650644 | + | 0.109872i | ||||
\(694\) | −24.2297 | −0.919746 | ||||||||
\(695\) | 6.43493 | − | 61.2242i | 0.244091 | − | 2.32237i | ||||
\(696\) | 2.92729 | − | 25.2186i | 0.110959 | − | 0.955909i | ||||
\(697\) | −44.9052 | − | 9.54489i | −1.70091 | − | 0.361539i | ||||
\(698\) | −4.59836 | − | 43.7505i | −0.174051 | − | 1.65598i | ||||
\(699\) | −6.10238 | − | 19.4978i | −0.230813 | − | 0.737476i | ||||
\(700\) | −0.112881 | + | 0.125367i | −0.00426651 | + | 0.00473844i | ||||
\(701\) | −1.74688 | + | 5.37634i | −0.0659787 | + | 0.203062i | −0.978611 | − | 0.205720i | \(-0.934046\pi\) |
0.912632 | + | 0.408782i | \(0.134046\pi\) | |||||||
\(702\) | 8.64102 | + | 0.281096i | 0.326134 | + | 0.0106093i | ||||
\(703\) | 16.0465 | 0.605204 | ||||||||
\(704\) | −16.8908 | + | 19.1648i | −0.636595 | + | 0.722302i | ||||
\(705\) | −17.0195 | + | 50.5109i | −0.640991 | + | 1.90235i | ||||
\(706\) | 0.639364 | − | 0.284663i | 0.0240628 | − | 0.0107134i | ||||
\(707\) | 0.493581 | + | 0.548178i | 0.0185630 | + | 0.0206163i | ||||
\(708\) | 0.683449 | + | 1.21397i | 0.0256856 | + | 0.0456238i | ||||
\(709\) | 43.3393 | + | 19.2959i | 1.62764 | + | 0.724672i | 0.998610 | − | 0.0527085i | \(-0.0167854\pi\) |
0.629030 | + | 0.777381i | \(0.283452\pi\) | |||||||
\(710\) | 9.82960 | − | 7.14163i | 0.368898 | − | 0.268020i | ||||
\(711\) | −25.1630 | + | 4.78093i | −0.943687 | + | 0.179299i | ||||
\(712\) | 2.96918 | − | 9.13819i | 0.111275 | − | 0.342468i | ||||
\(713\) | −3.12206 | + | 29.7044i | −0.116922 | + | 1.11244i | ||||
\(714\) | 2.28811 | + | 2.59728i | 0.0856304 | + | 0.0972007i | ||||
\(715\) | 12.1661 | − | 5.57236i | 0.454986 | − | 0.208394i | ||||
\(716\) | 0.560020 | − | 0.969983i | 0.0209289 | − | 0.0362500i | ||||
\(717\) | 1.56728 | + | 16.6454i | 0.0585312 | + | 0.621635i | ||||
\(718\) | −48.0978 | + | 10.2235i | −1.79499 | + | 0.381538i | ||||
\(719\) | 6.92225 | + | 21.3045i | 0.258157 | + | 0.794524i | 0.993191 | + | 0.116495i | \(0.0371658\pi\) |
−0.735035 | + | 0.678029i | \(0.762834\pi\) | |||||||
\(720\) | 43.2593 | + | 0.937977i | 1.61218 | + | 0.0349563i | ||||
\(721\) | 0.238212 | − | 0.173071i | 0.00887146 | − | 0.00644549i | ||||
\(722\) | 0.971950 | − | 1.07946i | 0.0361722 | − | 0.0401733i | ||||
\(723\) | 1.45127 | − | 12.5027i | 0.0539732 | − | 0.464980i | ||||
\(724\) | −0.945283 | + | 0.420867i | −0.0351312 | + | 0.0156414i | ||||
\(725\) | −18.9219 | + | 32.7737i | −0.702742 | + | 1.21718i | ||||
\(726\) | −22.0057 | + | 16.3410i | −0.816710 | + | 0.606471i | ||||
\(727\) | −9.63134 | − | 16.6820i | −0.357207 | − | 0.618700i | 0.630286 | − | 0.776363i | \(-0.282937\pi\) |
−0.987493 | + | 0.157663i | \(0.949604\pi\) | |||||||
\(728\) | −0.877853 | − | 0.637798i | −0.0325354 | − | 0.0236383i | ||||
\(729\) | −20.7658 | − | 17.2563i | −0.769105 | − | 0.639122i | ||||
\(730\) | 5.22864 | + | 16.0921i | 0.193521 | + | 0.595595i | ||||
\(731\) | 5.66401 | + | 2.52178i | 0.209491 | + | 0.0932714i | ||||
\(732\) | 0.283786 | + | 0.906730i | 0.0104890 | + | 0.0335137i | ||||
\(733\) | −36.2830 | − | 7.71220i | −1.34014 | − | 0.284856i | −0.518608 | − | 0.855012i | \(-0.673549\pi\) |
−0.821537 | + | 0.570156i | \(0.806883\pi\) | |||||||
\(734\) | −2.27526 | − | 2.52693i | −0.0839813 | − | 0.0932706i | ||||
\(735\) | 37.8239 | + | 17.3339i | 1.39515 | + | 0.639372i | ||||
\(736\) | 1.04008 | + | 1.80147i | 0.0383379 | + | 0.0664032i | ||||
\(737\) | −11.3132 | − | 8.03721i | −0.416726 | − | 0.296054i | ||||
\(738\) | 38.3611 | + | 29.1621i | 1.41209 | + | 1.07347i | ||||
\(739\) | −24.2184 | − | 17.5957i | −0.890888 | − | 0.647268i | 0.0452217 | − | 0.998977i | \(-0.485601\pi\) |
−0.936109 | + | 0.351709i | \(0.885601\pi\) | |||||||
\(740\) | 0.852494 | − | 0.181203i | 0.0313383 | − | 0.00666116i | ||||
\(741\) | −4.56424 | + | 7.71124i | −0.167672 | + | 0.283280i | ||||
\(742\) | 0.102462 | + | 0.974857i | 0.00376148 | + | 0.0357881i | ||||
\(743\) | 0.648618 | + | 6.17119i | 0.0237955 | + | 0.226399i | 0.999956 | + | 0.00935030i | \(0.00297633\pi\) |
−0.976161 | + | 0.217049i | \(0.930357\pi\) | |||||||
\(744\) | 13.8529 | − | 23.4044i | 0.507873 | − | 0.858046i | ||||
\(745\) | 2.30180 | − | 0.489263i | 0.0843314 | − | 0.0179252i | ||||
\(746\) | 26.6135 | + | 19.3358i | 0.974389 | + | 0.707935i | ||||
\(747\) | 4.28734 | − | 33.7382i | 0.156865 | − | 1.23442i | ||||
\(748\) | 0.303072 | + | 0.900098i | 0.0110814 | + | 0.0329108i | ||||
\(749\) | 1.04081 | + | 1.80273i | 0.0380303 | + | 0.0658705i | ||||
\(750\) | −17.1473 | − | 7.85826i | −0.626130 | − | 0.286943i | ||||
\(751\) | 0.321693 | + | 0.357276i | 0.0117387 | + | 0.0130372i | 0.748986 | − | 0.662586i | \(-0.230541\pi\) |
−0.737247 | + | 0.675623i | \(0.763875\pi\) | |||||||
\(752\) | 35.6741 | + | 7.58277i | 1.30090 | + | 0.276515i | ||||
\(753\) | −6.79924 | − | 21.7244i | −0.247778 | − | 0.791680i | ||||
\(754\) | 8.02278 | + | 3.57197i | 0.292172 | + | 0.130084i | ||||
\(755\) | −5.95503 | − | 18.3277i | −0.216726 | − | 0.667014i | ||||
\(756\) | −0.0339796 | − | 0.117442i | −0.00123582 | − | 0.00427132i | ||||
\(757\) | −7.65001 | − | 5.55806i | −0.278045 | − | 0.202011i | 0.440020 | − | 0.897988i | \(-0.354972\pi\) |
−0.718064 | + | 0.695977i | \(0.754972\pi\) | |||||||
\(758\) | −19.4945 | − | 33.7655i | −0.708074 | − | 1.22642i | ||||
\(759\) | −9.37108 | − | 28.8620i | −0.340149 | − | 1.04763i | ||||
\(760\) | −21.6680 | + | 37.5301i | −0.785981 | + | 1.36136i | ||||
\(761\) | 0.514715 | − | 0.229166i | 0.0186584 | − | 0.00830725i | −0.397386 | − | 0.917651i | \(-0.630083\pi\) |
0.416045 | + | 0.909344i | \(0.363416\pi\) | |||||||
\(762\) | −2.65040 | + | 22.8332i | −0.0960138 | + | 0.827159i | ||||
\(763\) | 2.64513 | − | 2.93772i | 0.0957602 | − | 0.106352i | ||||
\(764\) | 0.0763161 | − | 0.0554469i | 0.00276102 | − | 0.00200600i | ||||
\(765\) | −22.3190 | + | 36.7919i | −0.806944 | + | 1.33021i | ||||
\(766\) | 9.33392 | + | 28.7268i | 0.337248 | + | 1.03794i | ||||
\(767\) | 13.0653 | − | 2.77711i | 0.471759 | − | 0.100276i | ||||
\(768\) | −0.271063 | − | 2.87885i | −0.00978115 | − | 0.103881i | ||||
\(769\) | 22.9258 | − | 39.7086i | 0.826725 | − | 1.43193i | −0.0738688 | − | 0.997268i | \(-0.523535\pi\) |
0.900594 | − | 0.434662i | \(-0.143132\pi\) | |||||||
\(770\) | −3.80701 | − | 4.13880i | −0.137195 | − | 0.149152i | ||||
\(771\) | −2.09098 | − | 2.37351i | −0.0753050 | − | 0.0854800i | ||||
\(772\) | 0.162619 | − | 1.54722i | 0.00585278 | − | 0.0556855i | ||||
\(773\) | −14.6681 | + | 45.1438i | −0.527575 | + | 1.62371i | 0.231591 | + | 0.972813i | \(0.425607\pi\) |
−0.759166 | + | 0.650897i | \(0.774393\pi\) | |||||||
\(774\) | −4.24869 | − | 4.92948i | −0.152716 | − | 0.177187i | ||||
\(775\) | −32.7977 | + | 23.8289i | −1.17813 | + | 0.855960i | ||||
\(776\) | 33.0779 | + | 14.7272i | 1.18743 | + | 0.528677i | ||||
\(777\) | 1.02979 | + | 1.82915i | 0.0369434 | + | 0.0656203i | ||||
\(778\) | 6.79052 | + | 7.54164i | 0.243452 | + | 0.270381i | ||||
\(779\) | −45.6260 | + | 20.3140i | −1.63472 | + | 0.727825i | ||||
\(780\) | −0.155404 | + | 0.461213i | −0.00556436 | + | 0.0165141i | ||||
\(781\) | 4.08838 | + | 6.91061i | 0.146294 | + | 0.247281i | ||||
\(782\) | −31.2472 | −1.11740 | ||||||||
\(783\) | −12.9335 | − | 24.1850i | −0.462207 | − | 0.864301i | ||||
\(784\) | 8.79746 | − | 27.0758i | 0.314195 | − | 0.966993i | ||||
\(785\) | −1.85534 | + | 2.06057i | −0.0662200 | + | 0.0735448i | ||||
\(786\) | −11.4435 | − | 36.5632i | −0.408175 | − | 1.30417i | ||||
\(787\) | 2.57646 | + | 24.5133i | 0.0918408 | + | 0.873806i | 0.939335 | + | 0.343002i | \(0.111444\pi\) |
−0.847494 | + | 0.530805i | \(0.821890\pi\) | |||||||
\(788\) | −0.595834 | − | 0.126648i | −0.0212257 | − | 0.00451166i | ||||
\(789\) | −1.05334 | + | 9.07453i | −0.0374999 | + | 0.323062i | ||||
\(790\) | 4.47886 | − | 42.6135i | 0.159351 | − | 1.51612i | ||||
\(791\) | 0.141395 | 0.00502742 | ||||||||
\(792\) | −3.19178 | + | 27.4464i | −0.113415 | + | 0.975266i | ||||
\(793\) | 9.10942 | 0.323485 | ||||||||
\(794\) | −0.232222 | + | 2.20944i | −0.00824124 | + | 0.0784101i | ||||
\(795\) | −11.1857 | + | 4.83562i | −0.396717 | + | 0.171502i | ||||
\(796\) | −0.435391 | − | 0.0925453i | −0.0154320 | − | 0.00328018i | ||||
\(797\) | 4.22456 | + | 40.1940i | 0.149641 | + | 1.42374i | 0.769308 | + | 0.638878i | \(0.220601\pi\) |
−0.619667 | + | 0.784865i | \(0.712732\pi\) | |||||||
\(798\) | 3.67468 | + | 0.822807i | 0.130082 | + | 0.0291270i | ||||
\(799\) | −24.2702 | + | 26.9548i | −0.858618 | + | 0.953592i | ||||
\(800\) | −0.872487 | + | 2.68524i | −0.0308471 | + | 0.0949376i | ||||
\(801\) | −2.99279 | − | 9.93900i | −0.105745 | − | 0.351177i | ||||
\(802\) | 31.8835 | 1.12585 | ||||||||
\(803\) | −10.9121 | + | 2.44093i | −0.385080 | + | 0.0861386i | ||||
\(804\) | 0.494809 | − | 0.0995817i | 0.0174506 | − | 0.00351197i | ||||
\(805\) | 5.68750 | − | 2.53224i | 0.200458 | − | 0.0892496i | ||||
\(806\) | 6.29501 | + | 6.99132i | 0.221732 | + | 0.246259i | ||||
\(807\) | −30.0551 | − | 0.325799i | −1.05799 | − | 0.0114687i | ||||
\(808\) | 5.53923 | + | 2.46622i | 0.194869 | + | 0.0867615i | ||||
\(809\) | −10.3850 | + | 7.54517i | −0.365119 | + | 0.265274i | −0.755184 | − | 0.655513i | \(-0.772452\pi\) |
0.390065 | + | 0.920787i | \(0.372452\pi\) | |||||||
\(810\) | 37.6584 | − | 24.9404i | 1.32318 | − | 0.876316i | ||||
\(811\) | 11.5743 | − | 35.6220i | 0.406428 | − | 1.25086i | −0.513269 | − | 0.858228i | \(-0.671566\pi\) |
0.919697 | − | 0.392629i | \(-0.128434\pi\) | |||||||
\(812\) | 0.0129812 | − | 0.123508i | 0.000455550 | − | 0.00433427i | ||||
\(813\) | 4.48651 | − | 13.3152i | 0.157349 | − | 0.466984i | ||||
\(814\) | 1.96992 | + | 17.0023i | 0.0690456 | + | 0.595931i | ||||
\(815\) | 25.1261 | − | 43.5196i | 0.880128 | − | 1.52443i | ||||
\(816\) | 26.7677 | + | 12.2671i | 0.937056 | + | 0.429434i | ||||
\(817\) | 6.59764 | − | 1.40237i | 0.230822 | − | 0.0490627i | ||||
\(818\) | −2.10553 | − | 6.48015i | −0.0736180 | − | 0.226573i | ||||
\(819\) | −1.17192 | − | 0.0254104i | −0.0409502 | − | 0.000887910i | ||||
\(820\) | −2.19456 | + | 1.59444i | −0.0766374 | + | 0.0556803i | ||||
\(821\) | −31.8297 | + | 35.3505i | −1.11087 | + | 1.23374i | −0.141024 | + | 0.990006i | \(0.545039\pi\) |
−0.969842 | + | 0.243735i | \(0.921627\pi\) | |||||||
\(822\) | 4.48645 | − | 1.93950i | 0.156483 | − | 0.0676479i | ||||
\(823\) | 36.7291 | − | 16.3528i | 1.28030 | − | 0.570024i | 0.349971 | − | 0.936761i | \(-0.386192\pi\) |
0.930325 | + | 0.366736i | \(0.119525\pi\) | |||||||
\(824\) | 1.21017 | − | 2.09608i | 0.0421583 | − | 0.0730203i | ||||
\(825\) | 20.6015 | − | 35.6654i | 0.717253 | − | 1.24171i | ||||
\(826\) | −2.80660 | − | 4.86117i | −0.0976541 | − | 0.169142i | ||||
\(827\) | −22.4362 | − | 16.3008i | −0.780182 | − | 0.566835i | 0.124852 | − | 0.992175i | \(-0.460154\pi\) |
−0.905034 | + | 0.425340i | \(0.860154\pi\) | |||||||
\(828\) | 0.998284 | + | 0.470654i | 0.0346928 | + | 0.0163563i | ||||
\(829\) | 15.8416 | + | 48.7555i | 0.550202 | + | 1.69335i | 0.708289 | + | 0.705923i | \(0.249467\pi\) |
−0.158087 | + | 0.987425i | \(0.550533\pi\) | |||||||
\(830\) | 51.9758 | + | 23.1411i | 1.80411 | + | 0.803240i | ||||
\(831\) | −22.8263 | + | 24.8051i | −0.791837 | + | 0.860481i | ||||
\(832\) | −8.71351 | − | 1.85211i | −0.302087 | − | 0.0642105i | ||||
\(833\) | 18.9452 | + | 21.0408i | 0.656412 | + | 0.729020i | ||||
\(834\) | −35.8520 | + | 25.4588i | −1.24145 | + | 0.881568i | ||||
\(835\) | −23.6712 | − | 40.9998i | −0.819177 | − | 1.41886i | ||||
\(836\) | 0.842314 | + | 0.598404i | 0.0291320 | + | 0.0206962i | ||||
\(837\) | −2.11943 | − | 29.3036i | −0.0732583 | − | 1.01288i | ||||
\(838\) | −46.8980 | − | 34.0734i | −1.62007 | − | 1.17705i | ||||
\(839\) | −0.134675 | + | 0.0286261i | −0.00464951 | + | 0.000988284i | −0.210236 | − | 0.977651i | \(-0.567423\pi\) |
0.205586 | + | 0.978639i | \(0.434090\pi\) | |||||||
\(840\) | −5.66862 | − | 0.0614482i | −0.195586 | − | 0.00212017i | ||||
\(841\) | 0.119280 | + | 1.13487i | 0.00411310 | + | 0.0391335i | ||||
\(842\) | 2.04573 | + | 19.4638i | 0.0705004 | + | 0.670766i | ||||
\(843\) | −24.6324 | − | 43.7531i | −0.848386 | − | 1.50694i | ||||
\(844\) | −0.449202 | + | 0.0954809i | −0.0154622 | + | 0.00328659i | ||||
\(845\) | −32.9146 | − | 23.9139i | −1.13230 | − | 0.822662i | ||||
\(846\) | 35.1077 | − | 14.7276i | 1.20703 | − | 0.506344i | ||||
\(847\) | 2.95942 | − | 2.24777i | 0.101687 | − | 0.0772343i | ||||
\(848\) | 4.16919 | + | 7.22124i | 0.143170 | + | 0.247978i | ||||
\(849\) | −1.58715 | − | 16.8565i | −0.0544710 | − | 0.578513i | ||||
\(850\) | −28.3793 | − | 31.5184i | −0.973402 | − | 1.08107i | ||||
\(851\) | −18.5352 | − | 3.93978i | −0.635379 | − | 0.135054i | ||||
\(852\) | −0.284976 | − | 0.0638098i | −0.00976313 | − | 0.00218609i | ||||
\(853\) | 14.0329 | + | 6.24787i | 0.480479 | + | 0.213923i | 0.632660 | − | 0.774430i | \(-0.281963\pi\) |
−0.152181 | + | 0.988353i | \(0.548630\pi\) | |||||||
\(854\) | −1.18296 | − | 3.64077i | −0.0404800 | − | 0.124585i | ||||
\(855\) | 3.88307 | + | 46.6537i | 0.132798 | + | 1.59552i | ||||
\(856\) | 13.8430 | + | 10.0575i | 0.473144 | + | 0.343759i | ||||
\(857\) | 11.5275 | + | 19.9662i | 0.393773 | + | 0.682034i | 0.992944 | − | 0.118587i | \(-0.0378364\pi\) |
−0.599171 | + | 0.800621i | \(0.704503\pi\) | |||||||
\(858\) | −8.73090 | − | 3.88947i | −0.298068 | − | 0.132784i | ||||
\(859\) | 27.0597 | − | 46.8688i | 0.923265 | − | 1.59914i | 0.128937 | − | 0.991653i | \(-0.458844\pi\) |
0.794328 | − | 0.607489i | \(-0.207823\pi\) | |||||||
\(860\) | 0.334674 | − | 0.149006i | 0.0114123 | − | 0.00508107i | ||||
\(861\) | −5.24367 | − | 3.89728i | −0.178704 | − | 0.132819i | ||||
\(862\) | 7.56093 | − | 8.39726i | 0.257526 | − | 0.286012i | ||||
\(863\) | 34.3062 | − | 24.9249i | 1.16780 | − | 0.848453i | 0.177052 | − | 0.984201i | \(-0.443344\pi\) |
0.990743 | + | 0.135748i | \(0.0433439\pi\) | |||||||
\(864\) | −1.31900 | − | 1.56433i | −0.0448734 | − | 0.0532195i | ||||
\(865\) | 18.9586 | + | 58.3486i | 0.644612 | + | 1.98391i | ||||
\(866\) | −1.94292 | + | 0.412981i | −0.0660232 | + | 0.0140337i | ||||
\(867\) | 0.131713 | − | 0.0935306i | 0.00447320 | − | 0.00317647i | ||||
\(868\) | 0.0665182 | − | 0.115213i | 0.00225778 | − | 0.00391058i | ||||
\(869\) | 27.7586 | + | 5.59263i | 0.941647 | + | 0.189717i | ||||
\(870\) | 44.9792 | − | 9.05220i | 1.52494 | − | 0.306898i | ||||
\(871\) | 0.505841 | − | 4.81276i | 0.0171398 | − | 0.163074i | ||||
\(872\) | 10.0413 | − | 30.9040i | 0.340042 | − | 1.04654i | ||||
\(873\) | 38.4276 | − | 7.30117i | 1.30058 | − | 0.247107i | ||||
\(874\) | −27.5017 | + | 19.9811i | −0.930258 | + | 0.675872i | ||||
\(875\) | 2.33629 | + | 1.04018i | 0.0789811 | + | 0.0351646i | ||||
\(876\) | 0.207149 | − | 0.349976i | 0.00699891 | − | 0.0118246i | ||||
\(877\) | −34.0071 | − | 37.7688i | −1.14834 | − | 1.27536i | −0.955783 | − | 0.294074i | \(-0.904989\pi\) |
−0.192557 | − | 0.981286i | \(-0.561678\pi\) | |||||||
\(878\) | −7.24060 | + | 3.22372i | −0.244358 | + | 0.108795i | ||||
\(879\) | 28.8628 | + | 32.7627i | 0.973519 | + | 1.10506i | ||||
\(880\) | −43.9048 | − | 18.9912i | −1.48003 | − | 0.640193i | ||||
\(881\) | −33.9359 | −1.14333 | −0.571665 | − | 0.820487i | \(-0.693702\pi\) | ||||
−0.571665 | + | 0.820487i | \(0.693702\pi\) | |||||||
\(882\) | −8.56868 | − | 28.4564i | −0.288522 | − | 0.958178i | ||||
\(883\) | −14.3560 | + | 44.1833i | −0.483119 | + | 1.48689i | 0.351568 | + | 0.936162i | \(0.385649\pi\) |
−0.834687 | + | 0.550725i | \(0.814351\pi\) | |||||||
\(884\) | −0.221610 | + | 0.246123i | −0.00745356 | + | 0.00827802i | ||||
\(885\) | 47.2537 | − | 51.3501i | 1.58841 | − | 1.72611i | ||||
\(886\) | −0.165917 | − | 1.57859i | −0.00557409 | − | 0.0530339i | ||||
\(887\) | 23.9450 | + | 5.08967i | 0.803996 | + | 0.170895i | 0.591539 | − | 0.806276i | \(-0.298520\pi\) |
0.212456 | + | 0.977171i | \(0.431854\pi\) | |||||||
\(888\) | 13.8485 | + | 10.2927i | 0.464726 | + | 0.345401i | ||||
\(889\) | 0.325771 | − | 3.09951i | 0.0109260 | − | 0.103954i | ||||
\(890\) | 17.3644 | 0.582056 | ||||||||
\(891\) | 14.0709 | + | 26.3251i | 0.471391 | + | 0.881924i | ||||
\(892\) | −0.466401 | −0.0156162 | ||||||||
\(893\) | −4.12465 | + | 39.2435i | −0.138026 | + | 1.31323i | ||||
\(894\) | −1.34904 | − | 1.00266i | −0.0451188 | − | 0.0335339i | ||||
\(895\) | −54.8779 | − | 11.6647i | −1.83436 | − | 0.389906i | ||||
\(896\) | 0.419122 | + | 3.98768i | 0.0140019 | + | 0.133219i | ||||
\(897\) | 7.16543 | − | 7.78660i | 0.239247 | − | 0.259987i | ||||
\(898\) | 1.38884 | − | 1.54246i | 0.0463461 | − | 0.0514726i | ||||
\(899\) | 9.22225 | − | 28.3832i | 0.307579 | − | 0.946632i | ||||
\(900\) | 0.431921 | + | 1.43440i | 0.0143974 | + | 0.0478135i | ||||
\(901\) | −8.29267 | −0.276269 | ||||||||
\(902\) | −27.1253 | − | 45.8500i | −0.903173 | − | 1.52664i | ||||
\(903\) | 0.583262 | + | 0.662071i | 0.0194097 | + | 0.0220323i | ||||
\(904\) | 1.06178 | − | 0.472736i | 0.0353143 | − | 0.0157230i | ||||
\(905\) | 34.6818 | + | 38.5181i | 1.15286 | + | 1.28038i | ||||
\(906\) | −7.01116 | + | 11.8453i | −0.232930 | + | 0.393533i | ||||
\(907\) | −31.4183 | − | 13.9883i | −1.04323 | − | 0.464475i | −0.187697 | − | 0.982227i | \(-0.560102\pi\) |
−0.855531 | + | 0.517752i | \(0.826769\pi\) | |||||||
\(908\) | 0.346362 | − | 0.251647i | 0.0114944 | − | 0.00835118i | ||||
\(909\) | 6.43509 | − | 1.22266i | 0.213438 | − | 0.0405529i | ||||
\(910\) | 0.605972 | − | 1.86499i | 0.0200878 | − | 0.0618238i | ||||
\(911\) | 1.64859 | − | 15.6853i | 0.0546203 | − | 0.519677i | −0.932668 | − | 0.360736i | \(-0.882525\pi\) |
0.987288 | − | 0.158941i | \(-0.0508079\pi\) | |||||||
\(912\) | 31.4033 | − | 6.32001i | 1.03987 | − | 0.209276i | ||||
\(913\) | −18.4524 | + | 32.7596i | −0.610685 | + | 1.08419i | ||||
\(914\) | 21.6998 | − | 37.5852i | 0.717767 | − | 1.24321i | ||||
\(915\) | 38.8033 | − | 27.5546i | 1.28280 | − | 0.910928i | ||||
\(916\) | 1.56107 | − | 0.331816i | 0.0515792 | − | 0.0109635i | ||||
\(917\) | 1.60518 | + | 4.94024i | 0.0530078 | + | 0.163141i | ||||
\(918\) | 30.2571 | − | 5.40966i | 0.998632 | − | 0.178545i | ||||
\(919\) | −24.4677 | + | 17.7768i | −0.807115 | + | 0.586403i | −0.912993 | − | 0.407976i | \(-0.866235\pi\) |
0.105878 | + | 0.994379i | \(0.466235\pi\) | |||||||
\(920\) | 34.2431 | − | 38.0308i | 1.12896 | − | 1.25384i | ||||
\(921\) | −6.22309 | − | 4.62522i | −0.205058 | − | 0.152406i | ||||
\(922\) | −35.0603 | + | 15.6098i | −1.15465 | + | 0.514083i | ||||
\(923\) | −1.39998 | + | 2.42484i | −0.0460809 | + | 0.0798145i | ||||
\(924\) | −0.0141568 | + | 0.134419i | −0.000465724 | + | 0.00442205i | ||||
\(925\) | −12.8600 | − | 22.2743i | −0.422836 | − | 0.732373i | ||||
\(926\) | −0.811777 | − | 0.589790i | −0.0266766 | − | 0.0193817i | ||||
\(927\) | −0.216872 | − | 2.60563i | −0.00712301 | − | 0.0855803i | ||||
\(928\) | −0.642285 | − | 1.97675i | −0.0210840 | − | 0.0648900i | ||||
\(929\) | 0.280269 | + | 0.124784i | 0.00919534 | + | 0.00409403i | 0.411329 | − | 0.911487i | \(-0.365065\pi\) |
−0.402134 | + | 0.915581i | \(0.631731\pi\) | |||||||
\(930\) | 47.9625 | + | 10.7394i | 1.57275 | + | 0.352159i | ||||
\(931\) | 30.1289 | + | 6.40409i | 0.987434 | + | 0.209886i | ||||
\(932\) | −0.549684 | − | 0.610486i | −0.0180055 | − | 0.0199971i | ||||
\(933\) | 3.67948 | + | 39.0781i | 0.120461 | + | 1.27936i | ||||
\(934\) | −23.0360 | − | 39.8994i | −0.753760 | − | 1.30555i | ||||
\(935\) | 38.1888 | − | 28.3707i | 1.24891 | − | 0.927823i | ||||
\(936\) | −8.88530 | + | 3.72735i | −0.290425 | + | 0.121832i | ||||
\(937\) | −11.1295 | − | 8.08603i | −0.363584 | − | 0.264159i | 0.390962 | − | 0.920407i | \(-0.372143\pi\) |
−0.754545 | + | 0.656248i | \(0.772143\pi\) | |||||||
\(938\) | −1.98921 | + | 0.422820i | −0.0649500 | + | 0.0138055i | ||||
\(939\) | −14.1756 | − | 25.1792i | −0.462602 | − | 0.821692i | ||||
\(940\) | 0.224024 | + | 2.13145i | 0.00730686 | + | 0.0695201i | ||||
\(941\) | −0.260162 | − | 2.47528i | −0.00848105 | − | 0.0806918i | 0.989463 | − | 0.144788i | \(-0.0462501\pi\) |
−0.997944 | + | 0.0640965i | \(0.979583\pi\) | |||||||
\(942\) | 1.98040 | + | 0.0214677i | 0.0645249 | + | 0.000699454i | ||||
\(943\) | 57.6900 | − | 12.2624i | 1.87864 | − | 0.399318i | ||||
\(944\) | −38.6298 | − | 28.0662i | −1.25729 | − | 0.913477i | ||||
\(945\) | −5.06888 | + | 3.43664i | −0.164891 | + | 0.111794i | ||||
\(946\) | 2.29585 | + | 6.81848i | 0.0746446 | + | 0.221688i | ||||
\(947\) | 7.58098 | + | 13.1306i | 0.246349 | + | 0.426689i | 0.962510 | − | 0.271246i | \(-0.0874358\pi\) |
−0.716161 | + | 0.697935i | \(0.754102\pi\) | |||||||
\(948\) | −0.839703 | + | 0.596281i | −0.0272723 | + | 0.0193663i | ||||
\(949\) | −2.60910 | − | 2.89770i | −0.0846950 | − | 0.0940633i | ||||
\(950\) | −45.1321 | − | 9.59312i | −1.46428 | − | 0.311242i | ||||
\(951\) | −29.7526 | + | 32.3318i | −0.964793 | + | 1.04843i | ||||
\(952\) | −3.52419 | − | 1.56907i | −0.114220 | − | 0.0508538i | ||||
\(953\) | 6.45470 | + | 19.8655i | 0.209088 | + | 0.643507i | 0.999521 | + | 0.0309580i | \(0.00985581\pi\) |
−0.790433 | + | 0.612549i | \(0.790144\pi\) | |||||||
\(954\) | 7.87316 | + | 3.71190i | 0.254903 | + | 0.120177i | ||||
\(955\) | −3.82275 | − | 2.77739i | −0.123701 | − | 0.0898742i | ||||
\(956\) | 0.336128 | + | 0.582191i | 0.0108712 | + | 0.0188294i | ||||
\(957\) | 3.16298 | + | 30.1552i | 0.102245 | + | 0.974780i | ||||
\(958\) | 15.8166 | − | 27.3951i | 0.511010 | − | 0.885095i | ||||
\(959\) | −0.605400 | + | 0.269542i | −0.0195494 | + | 0.00870395i | ||||
\(960\) | −42.7192 | + | 18.4676i | −1.37876 | + | 0.596040i | ||||
\(961\) | 0.649199 | − | 0.721009i | 0.0209419 | − | 0.0232584i | ||||
\(962\) | −4.82870 | + | 3.50825i | −0.155683 | + | 0.113111i | ||||
\(963\) | 18.4802 | + | 0.400700i | 0.595516 | + | 0.0129124i | ||||
\(964\) | −0.156392 | − | 0.481326i | −0.00503705 | − | 0.0155025i | ||||
\(965\) | −76.2255 | + | 16.2022i | −2.45379 | + | 0.521568i | ||||
\(966\) | −4.04259 | − | 1.85264i | −0.130068 | − | 0.0596077i | ||||
\(967\) | −28.6868 | + | 49.6870i | −0.922505 | + | 1.59783i | −0.126980 | + | 0.991905i | \(0.540528\pi\) |
−0.795525 | + | 0.605920i | \(0.792805\pi\) | |||||||
\(968\) | 14.7081 | − | 26.7737i | 0.472737 | − | 0.860539i | ||||
\(969\) | −10.1723 | + | 30.1897i | −0.326782 | + | 0.969833i | ||||
\(970\) | −6.83988 | + | 65.0771i | −0.219615 | + | 2.08950i | ||||
\(971\) | 1.39820 | − | 4.30322i | 0.0448704 | − | 0.138097i | −0.926111 | − | 0.377250i | \(-0.876870\pi\) |
0.970982 | + | 0.239153i | \(0.0768698\pi\) | |||||||
\(972\) | −1.04813 | − | 0.282912i | −0.0336189 | − | 0.00907442i | ||||
\(973\) | 4.82322 | − | 3.50427i | 0.154625 | − | 0.112342i | ||||
\(974\) | 23.0270 | + | 10.2523i | 0.737832 | + | 0.328504i | ||||
\(975\) | 14.3619 | + | 0.155684i | 0.459950 | + | 0.00498589i | ||||
\(976\) | −21.7898 | − | 24.2000i | −0.697474 | − | 0.774624i | ||||
\(977\) | −16.3918 | + | 7.29808i | −0.524419 | + | 0.233486i | −0.651832 | − | 0.758363i | \(-0.725999\pi\) |
0.127413 | + | 0.991850i | \(0.459333\pi\) | |||||||
\(978\) | −35.1883 | + | 7.08174i | −1.12520 | + | 0.226449i | ||||
\(979\) | −1.07814 | + | 11.4246i | −0.0344576 | + | 0.365130i | ||||
\(980\) | 1.67296 | 0.0534408 | ||||||||
\(981\) | −10.1212 | − | 33.6122i | −0.323144 | − | 1.07316i | ||||
\(982\) | −0.0894786 | + | 0.275387i | −0.00285538 | + | 0.00878795i | ||||
\(983\) | −4.32046 | + | 4.79835i | −0.137801 | + | 0.153044i | −0.808095 | − | 0.589052i | \(-0.799501\pi\) |
0.670294 | + | 0.742096i | \(0.266168\pi\) | |||||||
\(984\) | −52.4065 | − | 11.7345i | −1.67066 | − | 0.374081i | ||||
\(985\) | 3.18944 | + | 30.3455i | 0.101624 | + | 0.966889i | ||||
\(986\) | 30.5396 | + | 6.49140i | 0.972580 | + | 0.206728i | ||||
\(987\) | −4.73808 | + | 2.04828i | −0.150815 | + | 0.0651976i | ||||
\(988\) | −0.0376620 | + | 0.358330i | −0.00119819 | + | 0.0114000i | ||||
\(989\) | −7.96522 | −0.253279 | ||||||||
\(990\) | −48.9560 | + | 9.84173i | −1.55592 | + | 0.312791i | ||||
\(991\) | 12.2590 | 0.389420 | 0.194710 | − | 0.980861i | \(-0.437623\pi\) | ||||
0.194710 | + | 0.980861i | \(0.437623\pi\) | |||||||
\(992\) | 0.232740 | − | 2.21437i | 0.00738950 | − | 0.0703064i | ||||
\(993\) | −1.51547 | + | 13.0558i | −0.0480919 | + | 0.414312i | ||||
\(994\) | 1.15094 | + | 0.244640i | 0.0365056 | + | 0.00775951i | ||||
\(995\) | 2.33061 | + | 22.1743i | 0.0738853 | + | 0.702972i | ||||
\(996\) | −0.408456 | − | 1.30506i | −0.0129424 | − | 0.0413526i | ||||
\(997\) | 8.16575 | − | 9.06899i | 0.258612 | − | 0.287218i | −0.599831 | − | 0.800127i | \(-0.704766\pi\) |
0.858443 | + | 0.512909i | \(0.171432\pi\) | |||||||
\(998\) | −10.8486 | + | 33.3885i | −0.343406 | + | 1.05689i | ||||
\(999\) | 18.6300 | + | 0.606040i | 0.589426 | + | 0.0191742i |
(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 | 99.2.m.b.4.3 | ✓ | 72 | |
3.2 | odd | 2 | 297.2.n.b.37.7 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.235.3 | 72 | |||
9.4 | even | 3 | 891.2.f.f.730.3 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.730.7 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.70.7 | yes | 72 | |
11.3 | even | 5 | inner | 99.2.m.b.58.7 | yes | 72 | |
11.5 | even | 5 | 1089.2.e.p.364.5 | 36 | |||
11.6 | odd | 10 | 1089.2.e.o.364.14 | 36 | |||
33.14 | odd | 10 | 297.2.n.b.91.3 | 72 | |||
99.5 | odd | 30 | 9801.2.a.cp.1.5 | 18 | |||
99.14 | odd | 30 | 891.2.f.e.487.7 | 36 | |||
99.16 | even | 15 | 1089.2.e.p.727.5 | 36 | |||
99.25 | even | 15 | inner | 99.2.m.b.25.3 | yes | 72 | |
99.47 | odd | 30 | 297.2.n.b.289.7 | 72 | |||
99.49 | even | 15 | 9801.2.a.cm.1.14 | 18 | |||
99.50 | even | 30 | 9801.2.a.cn.1.14 | 18 | |||
99.58 | even | 15 | 891.2.f.f.487.3 | 36 | |||
99.61 | odd | 30 | 1089.2.e.o.727.14 | 36 | |||
99.94 | odd | 30 | 9801.2.a.co.1.5 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.25.3 | yes | 72 | 99.25 | even | 15 | inner | |
99.2.m.b.58.7 | yes | 72 | 11.3 | even | 5 | inner | |
99.2.m.b.70.7 | yes | 72 | 9.7 | even | 3 | inner | |
297.2.n.b.37.7 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.91.3 | 72 | 33.14 | odd | 10 | |||
297.2.n.b.235.3 | 72 | 9.2 | odd | 6 | |||
297.2.n.b.289.7 | 72 | 99.47 | odd | 30 | |||
891.2.f.e.487.7 | 36 | 99.14 | odd | 30 | |||
891.2.f.e.730.7 | 36 | 9.5 | odd | 6 | |||
891.2.f.f.487.3 | 36 | 99.58 | even | 15 | |||
891.2.f.f.730.3 | 36 | 9.4 | even | 3 | |||
1089.2.e.o.364.14 | 36 | 11.6 | odd | 10 | |||
1089.2.e.o.727.14 | 36 | 99.61 | odd | 30 | |||
1089.2.e.p.364.5 | 36 | 11.5 | even | 5 | |||
1089.2.e.p.727.5 | 36 | 99.16 | even | 15 | |||
9801.2.a.cm.1.14 | 18 | 99.49 | even | 15 | |||
9801.2.a.cn.1.14 | 18 | 99.50 | even | 30 | |||
9801.2.a.co.1.5 | 18 | 99.94 | odd | 30 | |||
9801.2.a.cp.1.5 | 18 | 99.5 | odd | 30 |