Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (of order \(9\), degree \(6\), 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: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 101.1 | ||
Root | \(-0.897451 - 1.55443i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.101 |
Dual form | 190.2.k.d.111.1 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −1.68666 | − | 0.613893i | −0.973792 | − | 0.354431i | −0.194368 | − | 0.980929i | \(-0.562266\pi\) |
−0.779423 | + | 0.626497i | \(0.784488\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.173648 | + | 0.984808i | 0.0776578 | + | 0.440419i | ||||
\(6\) | 1.68666 | − | 0.613893i | 0.688575 | − | 0.250621i | ||||
\(7\) | −0.680736 | + | 1.17907i | −0.257294 | + | 0.445646i | −0.965516 | − | 0.260343i | \(-0.916164\pi\) |
0.708222 | + | 0.705990i | \(0.249498\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.169813 | + | 0.142490i | 0.0566045 | + | 0.0474968i | ||||
\(10\) | −0.766044 | − | 0.642788i | −0.242245 | − | 0.203267i | ||||
\(11\) | −3.22960 | − | 5.59384i | −0.973762 | − | 1.68661i | −0.683960 | − | 0.729520i | \(-0.739744\pi\) |
−0.289803 | − | 0.957086i | \(-0.593590\pi\) | |||||||
\(12\) | −0.897451 | + | 1.55443i | −0.259072 | + | 0.448726i | ||||
\(13\) | −5.52256 | + | 2.01005i | −1.53168 | + | 0.557487i | −0.964033 | − | 0.265784i | \(-0.914369\pi\) |
−0.567650 | + | 0.823270i | \(0.692147\pi\) | |||||||
\(14\) | −0.236417 | − | 1.34079i | −0.0631851 | − | 0.358341i | ||||
\(15\) | 0.311682 | − | 1.76763i | 0.0804758 | − | 0.456401i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −1.96020 | + | 1.64480i | −0.475418 | + | 0.398923i | −0.848766 | − | 0.528768i | \(-0.822654\pi\) |
0.373348 | + | 0.927691i | \(0.378210\pi\) | |||||||
\(18\) | −0.221676 | −0.0522494 | ||||||||
\(19\) | −3.83851 | + | 2.06538i | −0.880615 | + | 0.473832i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 1.87199 | − | 1.57079i | 0.408502 | − | 0.342774i | ||||
\(22\) | 6.06967 | + | 2.20918i | 1.29406 | + | 0.470999i | ||||
\(23\) | 1.46285 | − | 8.29626i | 0.305026 | − | 1.72989i | −0.318356 | − | 0.947971i | \(-0.603131\pi\) |
0.623382 | − | 0.781918i | \(-0.285758\pi\) | |||||||
\(24\) | −0.311682 | − | 1.76763i | −0.0636217 | − | 0.360817i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | 2.93849 | − | 5.08962i | 0.576286 | − | 0.998156i | ||||
\(27\) | 2.49341 | + | 4.31871i | 0.479857 | + | 0.831137i | ||||
\(28\) | 1.04295 | + | 0.875137i | 0.197099 | + | 0.165385i | ||||
\(29\) | 3.41558 | + | 2.86601i | 0.634257 | + | 0.532205i | 0.902248 | − | 0.431217i | \(-0.141916\pi\) |
−0.267992 | + | 0.963421i | \(0.586360\pi\) | |||||||
\(30\) | 0.897451 | + | 1.55443i | 0.163851 | + | 0.283799i | ||||
\(31\) | 0.701264 | − | 1.21462i | 0.125951 | − | 0.218153i | −0.796153 | − | 0.605095i | \(-0.793135\pi\) |
0.922104 | + | 0.386942i | \(0.126469\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 2.01322 | + | 11.4175i | 0.350456 | + | 1.98753i | ||||
\(34\) | 0.444341 | − | 2.51998i | 0.0762038 | − | 0.432173i | ||||
\(35\) | −1.27936 | − | 0.465651i | −0.216252 | − | 0.0787093i | ||||
\(36\) | 0.169813 | − | 0.142490i | 0.0283022 | − | 0.0237484i | ||||
\(37\) | −4.42962 | −0.728225 | −0.364112 | − | 0.931355i | \(-0.618628\pi\) | ||||
−0.364112 | + | 0.931355i | \(0.618628\pi\) | |||||||
\(38\) | 1.61287 | − | 4.04953i | 0.261642 | − | 0.656920i | ||||
\(39\) | 10.5486 | 1.68913 | ||||||||
\(40\) | −0.766044 | + | 0.642788i | −0.121122 | + | 0.101634i | ||||
\(41\) | 5.15407 | + | 1.87593i | 0.804931 | + | 0.292971i | 0.711528 | − | 0.702658i | \(-0.248003\pi\) |
0.0934025 | + | 0.995628i | \(0.470226\pi\) | |||||||
\(42\) | −0.424346 | + | 2.40658i | −0.0654780 | + | 0.371344i | ||||
\(43\) | 1.19018 | + | 6.74986i | 0.181501 | + | 1.02934i | 0.930369 | + | 0.366625i | \(0.119487\pi\) |
−0.748868 | + | 0.662719i | \(0.769402\pi\) | |||||||
\(44\) | −6.06967 | + | 2.20918i | −0.915037 | + | 0.333046i | ||||
\(45\) | −0.110838 | + | 0.191977i | −0.0165227 | + | 0.0286182i | ||||
\(46\) | 4.21212 | + | 7.29560i | 0.621043 | + | 1.07568i | ||||
\(47\) | −7.29140 | − | 6.11821i | −1.06356 | − | 0.892433i | −0.0691065 | − | 0.997609i | \(-0.522015\pi\) |
−0.994454 | + | 0.105176i | \(0.966459\pi\) | |||||||
\(48\) | 1.37498 | + | 1.15374i | 0.198461 | + | 0.166528i | ||||
\(49\) | 2.57320 | + | 4.45691i | 0.367600 | + | 0.636701i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 4.31591 | − | 1.57086i | 0.604349 | − | 0.219965i | ||||
\(52\) | 1.02053 | + | 5.78770i | 0.141522 | + | 0.802610i | ||||
\(53\) | 0.768506 | − | 4.35841i | 0.105562 | − | 0.598674i | −0.885432 | − | 0.464769i | \(-0.846137\pi\) |
0.990994 | − | 0.133905i | \(-0.0427516\pi\) | |||||||
\(54\) | −4.68608 | − | 1.70559i | −0.637695 | − | 0.232102i | ||||
\(55\) | 4.94804 | − | 4.15190i | 0.667194 | − | 0.559842i | ||||
\(56\) | −1.36147 | −0.181934 | ||||||||
\(57\) | 7.74218 | − | 1.12716i | 1.02548 | − | 0.149296i | ||||
\(58\) | −4.45872 | −0.585458 | ||||||||
\(59\) | −7.87687 | + | 6.60948i | −1.02548 | + | 0.860481i | −0.990306 | − | 0.138900i | \(-0.955643\pi\) |
−0.0351753 | + | 0.999381i | \(0.511199\pi\) | |||||||
\(60\) | −1.68666 | − | 0.613893i | −0.217746 | − | 0.0792532i | ||||
\(61\) | 1.12233 | − | 6.36503i | 0.143699 | − | 0.814958i | −0.824703 | − | 0.565566i | \(-0.808658\pi\) |
0.968402 | − | 0.249393i | \(-0.0802310\pi\) | |||||||
\(62\) | 0.243546 | + | 1.38122i | 0.0309304 | + | 0.175415i | ||||
\(63\) | −0.283604 | + | 0.103223i | −0.0357307 | + | 0.0130049i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.93849 | − | 5.08962i | −0.364475 | − | 0.631289i | ||||
\(66\) | −8.88125 | − | 7.45226i | −1.09321 | − | 0.917309i | ||||
\(67\) | −5.14753 | − | 4.31929i | −0.628871 | − | 0.527685i | 0.271707 | − | 0.962380i | \(-0.412412\pi\) |
−0.900578 | + | 0.434695i | \(0.856856\pi\) | |||||||
\(68\) | 1.27943 | + | 2.21604i | 0.155153 | + | 0.268734i | ||||
\(69\) | −7.56034 | + | 13.0949i | −0.910158 | + | 1.57644i | ||||
\(70\) | 1.27936 | − | 0.465651i | 0.152913 | − | 0.0556559i | ||||
\(71\) | 0.336459 | + | 1.90815i | 0.0399303 | + | 0.226456i | 0.998242 | − | 0.0592685i | \(-0.0188768\pi\) |
−0.958312 | + | 0.285725i | \(0.907766\pi\) | |||||||
\(72\) | −0.0384936 | + | 0.218308i | −0.00453651 | + | 0.0257278i | ||||
\(73\) | 5.90451 | + | 2.14907i | 0.691071 | + | 0.251529i | 0.663594 | − | 0.748093i | \(-0.269030\pi\) |
0.0274772 | + | 0.999622i | \(0.491253\pi\) | |||||||
\(74\) | 3.39328 | − | 2.84730i | 0.394461 | − | 0.330992i | ||||
\(75\) | 1.79490 | 0.207258 | ||||||||
\(76\) | 1.36746 | + | 4.13885i | 0.156858 | + | 0.474758i | ||||
\(77\) | 8.79403 | 1.00217 | ||||||||
\(78\) | −8.08071 | + | 6.78052i | −0.914960 | + | 0.767743i | ||||
\(79\) | 3.37355 | + | 1.22787i | 0.379554 | + | 0.138146i | 0.524750 | − | 0.851257i | \(-0.324159\pi\) |
−0.145195 | + | 0.989403i | \(0.546381\pi\) | |||||||
\(80\) | 0.173648 | − | 0.984808i | 0.0194145 | − | 0.110105i | ||||
\(81\) | −1.66978 | − | 9.46980i | −0.185531 | − | 1.05220i | ||||
\(82\) | −5.15407 | + | 1.87593i | −0.569172 | + | 0.207162i | ||||
\(83\) | 6.74970 | − | 11.6908i | 0.740876 | − | 1.28323i | −0.211221 | − | 0.977438i | \(-0.567744\pi\) |
0.952097 | − | 0.305797i | \(-0.0989228\pi\) | |||||||
\(84\) | −1.22185 | − | 2.11631i | −0.133315 | − | 0.230909i | ||||
\(85\) | −1.96020 | − | 1.64480i | −0.212613 | − | 0.178404i | ||||
\(86\) | −5.25046 | − | 4.40566i | −0.566172 | − | 0.475074i | ||||
\(87\) | −4.00148 | − | 6.93077i | −0.429004 | − | 0.743057i | ||||
\(88\) | 3.22960 | − | 5.59384i | 0.344277 | − | 0.596305i | ||||
\(89\) | 1.78165 | − | 0.648469i | 0.188855 | − | 0.0687376i | −0.245861 | − | 0.969305i | \(-0.579071\pi\) |
0.434716 | + | 0.900567i | \(0.356849\pi\) | |||||||
\(90\) | −0.0384936 | − | 0.218308i | −0.00405758 | − | 0.0230117i | ||||
\(91\) | 1.38942 | − | 7.87979i | 0.145651 | − | 0.826026i | ||||
\(92\) | −7.91619 | − | 2.88126i | −0.825320 | − | 0.300392i | ||||
\(93\) | −1.92844 | + | 1.61815i | −0.199970 | + | 0.167795i | ||||
\(94\) | 9.51825 | 0.981732 | ||||||||
\(95\) | −2.70056 | − | 3.42155i | −0.277071 | − | 0.351043i | ||||
\(96\) | −1.79490 | −0.183191 | ||||||||
\(97\) | −0.0945771 | + | 0.0793596i | −0.00960285 | + | 0.00805774i | −0.647576 | − | 0.762001i | \(-0.724217\pi\) |
0.637974 | + | 0.770058i | \(0.279773\pi\) | |||||||
\(98\) | −4.83603 | − | 1.76017i | −0.488513 | − | 0.177804i | ||||
\(99\) | 0.248638 | − | 1.41010i | 0.0249891 | − | 0.141720i | ||||
\(100\) | 0.173648 | + | 0.984808i | 0.0173648 | + | 0.0984808i | ||||
\(101\) | −12.8307 | + | 4.66998i | −1.27670 | + | 0.464680i | −0.889339 | − | 0.457249i | \(-0.848835\pi\) |
−0.387359 | + | 0.921929i | \(0.626613\pi\) | |||||||
\(102\) | −2.29645 | + | 3.97757i | −0.227382 | + | 0.393838i | ||||
\(103\) | 3.43714 | + | 5.95330i | 0.338672 | + | 0.586596i | 0.984183 | − | 0.177154i | \(-0.0566891\pi\) |
−0.645512 | + | 0.763751i | \(0.723356\pi\) | |||||||
\(104\) | −4.50203 | − | 3.77765i | −0.441460 | − | 0.370429i | ||||
\(105\) | 1.87199 | + | 1.57079i | 0.182688 | + | 0.153293i | ||||
\(106\) | 2.21282 | + | 3.83272i | 0.214929 | + | 0.372267i | ||||
\(107\) | −4.42008 | + | 7.65580i | −0.427305 | + | 0.740114i | −0.996633 | − | 0.0819969i | \(-0.973870\pi\) |
0.569328 | + | 0.822111i | \(0.307204\pi\) | |||||||
\(108\) | 4.68608 | − | 1.70559i | 0.450918 | − | 0.164121i | ||||
\(109\) | −1.65245 | − | 9.37152i | −0.158276 | − | 0.897629i | −0.955729 | − | 0.294248i | \(-0.904931\pi\) |
0.797453 | − | 0.603381i | \(-0.206180\pi\) | |||||||
\(110\) | −1.12163 | + | 6.36108i | −0.106943 | + | 0.606505i | ||||
\(111\) | 7.47124 | + | 2.71931i | 0.709139 | + | 0.258106i | ||||
\(112\) | 1.04295 | − | 0.875137i | 0.0985493 | − | 0.0826927i | ||||
\(113\) | −11.0799 | −1.04231 | −0.521154 | − | 0.853462i | \(-0.674498\pi\) | ||||
−0.521154 | + | 0.853462i | \(0.674498\pi\) | |||||||
\(114\) | −5.20633 | + | 5.84003i | −0.487617 | + | 0.546969i | ||||
\(115\) | 8.42424 | 0.785564 | ||||||||
\(116\) | 3.41558 | − | 2.86601i | 0.317128 | − | 0.266102i | ||||
\(117\) | −1.22422 | − | 0.445578i | −0.113179 | − | 0.0411937i | ||||
\(118\) | 1.78554 | − | 10.1263i | 0.164373 | − | 0.932203i | ||||
\(119\) | −0.604958 | − | 3.43088i | −0.0554564 | − | 0.314509i | ||||
\(120\) | 1.68666 | − | 0.613893i | 0.153970 | − | 0.0560405i | ||||
\(121\) | −15.3607 | + | 26.6055i | −1.39643 | + | 2.41868i | ||||
\(122\) | 3.23161 | + | 5.59731i | 0.292576 | + | 0.506757i | ||||
\(123\) | −7.54153 | − | 6.32809i | −0.679997 | − | 0.570585i | ||||
\(124\) | −1.07440 | − | 0.901527i | −0.0964838 | − | 0.0809595i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 0.150903 | − | 0.261371i | 0.0134435 | − | 0.0232848i | ||||
\(127\) | −8.63792 | + | 3.14395i | −0.766491 | + | 0.278980i | −0.695528 | − | 0.718499i | \(-0.744830\pi\) |
−0.0709633 | + | 0.997479i | \(0.522607\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 2.13626 | − | 12.1153i | 0.188087 | − | 1.06670i | ||||
\(130\) | 5.52256 | + | 2.01005i | 0.484360 | + | 0.176293i | ||||
\(131\) | 0.0847217 | − | 0.0710900i | 0.00740217 | − | 0.00621116i | −0.639079 | − | 0.769141i | \(-0.720684\pi\) |
0.646481 | + | 0.762930i | \(0.276240\pi\) | |||||||
\(132\) | 11.5937 | 1.00910 | ||||||||
\(133\) | 0.177782 | − | 5.93185i | 0.0154157 | − | 0.514357i | ||||
\(134\) | 6.71962 | 0.580487 | ||||||||
\(135\) | −3.82013 | + | 3.20547i | −0.328784 | + | 0.275883i | ||||
\(136\) | −2.40454 | − | 0.875181i | −0.206188 | − | 0.0750461i | ||||
\(137\) | 2.37043 | − | 13.4434i | 0.202520 | − | 1.14855i | −0.698776 | − | 0.715341i | \(-0.746271\pi\) |
0.901295 | − | 0.433205i | \(-0.142617\pi\) | |||||||
\(138\) | −2.62568 | − | 14.8910i | −0.223513 | − | 1.26760i | ||||
\(139\) | −2.27126 | + | 0.826670i | −0.192645 | + | 0.0701172i | −0.436541 | − | 0.899684i | \(-0.643797\pi\) |
0.243896 | + | 0.969801i | \(0.421575\pi\) | |||||||
\(140\) | −0.680736 | + | 1.17907i | −0.0575327 | + | 0.0996495i | ||||
\(141\) | 8.54216 | + | 14.7955i | 0.719380 | + | 1.24600i | ||||
\(142\) | −1.48428 | − | 1.24546i | −0.124558 | − | 0.104517i | ||||
\(143\) | 29.0796 | + | 24.4007i | 2.43176 | + | 2.04048i | ||||
\(144\) | −0.110838 | − | 0.191977i | −0.00923648 | − | 0.0159981i | ||||
\(145\) | −2.22936 | + | 3.86136i | −0.185138 | + | 0.320669i | ||||
\(146\) | −5.90451 | + | 2.14907i | −0.488661 | + | 0.177858i | ||||
\(147\) | −1.60404 | − | 9.09694i | −0.132299 | − | 0.750303i | ||||
\(148\) | −0.769195 | + | 4.36232i | −0.0632274 | + | 0.358581i | ||||
\(149\) | 2.08531 | + | 0.758990i | 0.170835 | + | 0.0621789i | 0.426022 | − | 0.904713i | \(-0.359915\pi\) |
−0.255187 | + | 0.966892i | \(0.582137\pi\) | |||||||
\(150\) | −1.37498 | + | 1.15374i | −0.112266 | + | 0.0942026i | ||||
\(151\) | −11.6771 | −0.950267 | −0.475133 | − | 0.879914i | \(-0.657600\pi\) | ||||
−0.475133 | + | 0.879914i | \(0.657600\pi\) | |||||||
\(152\) | −3.70793 | − | 2.29156i | −0.300753 | − | 0.185870i | ||||
\(153\) | −0.567236 | −0.0458583 | ||||||||
\(154\) | −6.73662 | + | 5.65269i | −0.542852 | + | 0.455507i | ||||
\(155\) | 1.31794 | + | 0.479693i | 0.105860 | + | 0.0385298i | ||||
\(156\) | 1.83175 | − | 10.3884i | 0.146657 | − | 0.831734i | ||||
\(157\) | −0.722948 | − | 4.10004i | −0.0576975 | − | 0.327219i | 0.942273 | − | 0.334844i | \(-0.108684\pi\) |
−0.999971 | + | 0.00762562i | \(0.997573\pi\) | |||||||
\(158\) | −3.37355 | + | 1.22787i | −0.268385 | + | 0.0976843i | ||||
\(159\) | −3.97181 | + | 6.87937i | −0.314985 | + | 0.545569i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 8.78604 | + | 7.37236i | 0.692437 | + | 0.581024i | ||||
\(162\) | 7.36620 | + | 6.18097i | 0.578743 | + | 0.485623i | ||||
\(163\) | −2.40117 | − | 4.15894i | −0.188074 | − | 0.325753i | 0.756534 | − | 0.653954i | \(-0.226891\pi\) |
−0.944608 | + | 0.328201i | \(0.893558\pi\) | |||||||
\(164\) | 2.74242 | − | 4.75002i | 0.214147 | − | 0.370914i | ||||
\(165\) | −10.8945 | + | 3.96526i | −0.848133 | + | 0.308695i | ||||
\(166\) | 2.34415 | + | 13.2943i | 0.181941 | + | 1.03184i | ||||
\(167\) | −0.671525 | + | 3.80840i | −0.0519641 | + | 0.294703i | −0.999704 | − | 0.0243418i | \(-0.992251\pi\) |
0.947740 | + | 0.319045i | \(0.103362\pi\) | |||||||
\(168\) | 2.29634 | + | 0.835798i | 0.177166 | + | 0.0644832i | ||||
\(169\) | 16.4998 | − | 13.8450i | 1.26921 | − | 1.06500i | ||||
\(170\) | 2.55886 | 0.196255 | ||||||||
\(171\) | −0.946128 | − | 0.196221i | −0.0723522 | − | 0.0150054i | ||||
\(172\) | 6.85399 | 0.522612 | ||||||||
\(173\) | 8.83929 | − | 7.41704i | 0.672039 | − | 0.563907i | −0.241629 | − | 0.970369i | \(-0.577682\pi\) |
0.913668 | + | 0.406461i | \(0.133237\pi\) | |||||||
\(174\) | 7.52033 | + | 2.73718i | 0.570115 | + | 0.207505i | ||||
\(175\) | 0.236417 | − | 1.34079i | 0.0178715 | − | 0.101354i | ||||
\(176\) | 1.12163 | + | 6.36108i | 0.0845460 | + | 0.479484i | ||||
\(177\) | 17.3431 | − | 6.31237i | 1.30359 | − | 0.474467i | ||||
\(178\) | −0.947998 | + | 1.64198i | −0.0710555 | + | 0.123072i | ||||
\(179\) | −4.18981 | − | 7.25696i | −0.313161 | − | 0.542411i | 0.665884 | − | 0.746055i | \(-0.268055\pi\) |
−0.979045 | + | 0.203645i | \(0.934721\pi\) | |||||||
\(180\) | 0.169813 | + | 0.142490i | 0.0126571 | + | 0.0106206i | ||||
\(181\) | −8.13969 | − | 6.83001i | −0.605018 | − | 0.507671i | 0.288036 | − | 0.957620i | \(-0.406998\pi\) |
−0.893054 | + | 0.449949i | \(0.851442\pi\) | |||||||
\(182\) | 4.00067 | + | 6.92937i | 0.296550 | + | 0.513639i | ||||
\(183\) | −5.80042 | + | 10.0466i | −0.428780 | + | 0.742668i | ||||
\(184\) | 7.91619 | − | 2.88126i | 0.583590 | − | 0.212409i | ||||
\(185\) | −0.769195 | − | 4.36232i | −0.0565523 | − | 0.320724i | ||||
\(186\) | 0.437142 | − | 2.47915i | 0.0320528 | − | 0.181780i | ||||
\(187\) | 15.5314 | + | 5.65298i | 1.13577 | + | 0.413386i | ||||
\(188\) | −7.29140 | + | 6.11821i | −0.531780 | + | 0.446216i | ||||
\(189\) | −6.78942 | −0.493857 | ||||||||
\(190\) | 4.26808 | + | 0.885172i | 0.309639 | + | 0.0642171i | ||||
\(191\) | 10.8514 | 0.785179 | 0.392589 | − | 0.919714i | \(-0.371579\pi\) | ||||
0.392589 | + | 0.919714i | \(0.371579\pi\) | |||||||
\(192\) | 1.37498 | − | 1.15374i | 0.0992303 | − | 0.0832641i | ||||
\(193\) | −1.81949 | − | 0.662240i | −0.130970 | − | 0.0476691i | 0.275704 | − | 0.961243i | \(-0.411089\pi\) |
−0.406674 | + | 0.913574i | \(0.633311\pi\) | |||||||
\(194\) | 0.0214389 | − | 0.121586i | 0.00153922 | − | 0.00872936i | ||||
\(195\) | 1.83175 | + | 10.3884i | 0.131174 | + | 0.743926i | ||||
\(196\) | 4.83603 | − | 1.76017i | 0.345431 | − | 0.125726i | ||||
\(197\) | −6.12697 | + | 10.6122i | −0.436529 | + | 0.756090i | −0.997419 | − | 0.0718004i | \(-0.977126\pi\) |
0.560890 | + | 0.827890i | \(0.310459\pi\) | |||||||
\(198\) | 0.715925 | + | 1.24002i | 0.0508785 | + | 0.0881242i | ||||
\(199\) | −0.331678 | − | 0.278311i | −0.0235121 | − | 0.0197290i | 0.630956 | − | 0.775819i | \(-0.282663\pi\) |
−0.654468 | + | 0.756090i | \(0.727107\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | 6.03053 | + | 10.4452i | 0.425361 | + | 0.736747i | ||||
\(202\) | 6.82705 | − | 11.8248i | 0.480350 | − | 0.831990i | ||||
\(203\) | −5.70433 | + | 2.07621i | −0.400365 | + | 0.145721i | ||||
\(204\) | −0.797549 | − | 4.52312i | −0.0558396 | − | 0.316682i | ||||
\(205\) | −0.952434 | + | 5.40152i | −0.0665209 | + | 0.377259i | ||||
\(206\) | −6.45971 | − | 2.35114i | −0.450070 | − | 0.163812i | ||||
\(207\) | 1.43055 | − | 1.20037i | 0.0994300 | − | 0.0834317i | ||||
\(208\) | 5.87698 | 0.407496 | ||||||||
\(209\) | 23.9503 | + | 14.8017i | 1.65668 | + | 1.02385i | ||||
\(210\) | −2.44371 | −0.168632 | ||||||||
\(211\) | −10.5293 | + | 8.83513i | −0.724867 | + | 0.608235i | −0.928727 | − | 0.370765i | \(-0.879096\pi\) |
0.203860 | + | 0.979000i | \(0.434651\pi\) | |||||||
\(212\) | −4.15875 | − | 1.51366i | −0.285624 | − | 0.103959i | ||||
\(213\) | 0.603911 | − | 3.42495i | 0.0413793 | − | 0.234674i | ||||
\(214\) | −1.53508 | − | 8.70585i | −0.104936 | − | 0.595120i | ||||
\(215\) | −6.44064 | + | 2.34420i | −0.439248 | + | 0.159873i | ||||
\(216\) | −2.49341 | + | 4.31871i | −0.169655 | + | 0.293851i | ||||
\(217\) | 0.954751 | + | 1.65368i | 0.0648127 | + | 0.112259i | ||||
\(218\) | 7.28975 | + | 6.11683i | 0.493724 | + | 0.414284i | ||||
\(219\) | −8.63959 | − | 7.24948i | −0.583809 | − | 0.489874i | ||||
\(220\) | −3.22960 | − | 5.59384i | −0.217740 | − | 0.377137i | ||||
\(221\) | 7.51918 | − | 13.0236i | 0.505795 | − | 0.876062i | ||||
\(222\) | −7.47124 | + | 2.71931i | −0.501437 | + | 0.182508i | ||||
\(223\) | −3.90968 | − | 22.1729i | −0.261812 | − | 1.48481i | −0.777963 | − | 0.628310i | \(-0.783747\pi\) |
0.516151 | − | 0.856497i | \(-0.327364\pi\) | |||||||
\(224\) | −0.236417 | + | 1.34079i | −0.0157963 | + | 0.0895852i | ||||
\(225\) | −0.208307 | − | 0.0758175i | −0.0138871 | − | 0.00505450i | ||||
\(226\) | 8.48769 | − | 7.12202i | 0.564593 | − | 0.473750i | ||||
\(227\) | −18.8403 | −1.25048 | −0.625239 | − | 0.780433i | \(-0.714998\pi\) | ||||
−0.625239 | + | 0.780433i | \(0.714998\pi\) | |||||||
\(228\) | 0.234380 | − | 7.82029i | 0.0155222 | − | 0.517911i | ||||
\(229\) | −4.51829 | −0.298577 | −0.149289 | − | 0.988794i | \(-0.547698\pi\) | ||||
−0.149289 | + | 0.988794i | \(0.547698\pi\) | |||||||
\(230\) | −6.45334 | + | 5.41500i | −0.425521 | + | 0.357054i | ||||
\(231\) | −14.8325 | − | 5.39859i | −0.975908 | − | 0.355201i | ||||
\(232\) | −0.774248 | + | 4.39098i | −0.0508319 | + | 0.288282i | ||||
\(233\) | −1.86901 | − | 10.5997i | −0.122443 | − | 0.694406i | −0.982794 | − | 0.184705i | \(-0.940867\pi\) |
0.860351 | − | 0.509701i | \(-0.170244\pi\) | |||||||
\(234\) | 1.22422 | − | 0.445578i | 0.0800295 | − | 0.0291284i | ||||
\(235\) | 4.75912 | − | 8.24304i | 0.310451 | − | 0.537717i | ||||
\(236\) | 5.14126 | + | 8.90493i | 0.334668 | + | 0.579662i | ||||
\(237\) | −4.93624 | − | 4.14200i | −0.320643 | − | 0.269052i | ||||
\(238\) | 2.66875 | + | 2.23935i | 0.172990 | + | 0.145156i | ||||
\(239\) | −11.7010 | − | 20.2668i | −0.756876 | − | 1.31095i | −0.944436 | − | 0.328695i | \(-0.893391\pi\) |
0.187560 | − | 0.982253i | \(-0.439942\pi\) | |||||||
\(240\) | −0.897451 | + | 1.55443i | −0.0579302 | + | 0.100338i | ||||
\(241\) | 19.6353 | − | 7.14665i | 1.26482 | − | 0.460356i | 0.379435 | − | 0.925218i | \(-0.376118\pi\) |
0.885383 | + | 0.464862i | \(0.153896\pi\) | |||||||
\(242\) | −5.33471 | − | 30.2547i | −0.342928 | − | 1.94484i | ||||
\(243\) | −0.399237 | + | 2.26419i | −0.0256111 | + | 0.145248i | ||||
\(244\) | −6.07344 | − | 2.21055i | −0.388812 | − | 0.141516i | ||||
\(245\) | −3.94237 | + | 3.30804i | −0.251869 | + | 0.211343i | ||||
\(246\) | 9.84477 | 0.627679 | ||||||||
\(247\) | 17.0469 | − | 19.1218i | 1.08467 | − | 1.21669i | ||||
\(248\) | 1.40253 | 0.0890606 | ||||||||
\(249\) | −18.5613 | + | 15.5748i | −1.17628 | + | 0.987014i | ||||
\(250\) | 0.939693 | + | 0.342020i | 0.0594314 | + | 0.0216313i | ||||
\(251\) | −3.10917 | + | 17.6330i | −0.196249 | + | 1.11298i | 0.714379 | + | 0.699759i | \(0.246709\pi\) |
−0.910628 | + | 0.413226i | \(0.864402\pi\) | |||||||
\(252\) | 0.0524079 | + | 0.297220i | 0.00330139 | + | 0.0187231i | ||||
\(253\) | −51.1324 | + | 18.6107i | −3.21466 | + | 1.17004i | ||||
\(254\) | 4.59614 | − | 7.96075i | 0.288388 | − | 0.499502i | ||||
\(255\) | 2.29645 | + | 3.97757i | 0.143809 | + | 0.249085i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −0.372978 | − | 0.312965i | −0.0232657 | − | 0.0195222i | 0.631081 | − | 0.775717i | \(-0.282612\pi\) |
−0.654346 | + | 0.756195i | \(0.727056\pi\) | |||||||
\(258\) | 6.15112 | + | 10.6541i | 0.382952 | + | 0.663292i | ||||
\(259\) | 3.01540 | − | 5.22282i | 0.187368 | − | 0.324531i | ||||
\(260\) | −5.52256 | + | 2.01005i | −0.342495 | + | 0.124658i | ||||
\(261\) | 0.171632 | + | 0.973373i | 0.0106238 | + | 0.0602503i | ||||
\(262\) | −0.0192049 | + | 0.108916i | −0.00118648 | + | 0.00672886i | ||||
\(263\) | 20.7375 | + | 7.54785i | 1.27873 | + | 0.465420i | 0.890013 | − | 0.455936i | \(-0.150695\pi\) |
0.388719 | + | 0.921356i | \(0.372918\pi\) | |||||||
\(264\) | −8.88125 | + | 7.45226i | −0.546603 | + | 0.458655i | ||||
\(265\) | 4.42565 | 0.271865 | ||||||||
\(266\) | 3.67673 | + | 4.65834i | 0.225435 | + | 0.285621i | ||||
\(267\) | −3.40313 | −0.208268 | ||||||||
\(268\) | −5.14753 | + | 4.31929i | −0.314435 | + | 0.263843i | ||||
\(269\) | −16.6789 | − | 6.07061i | −1.01693 | − | 0.370131i | −0.220838 | − | 0.975310i | \(-0.570879\pi\) |
−0.796089 | + | 0.605179i | \(0.793101\pi\) | |||||||
\(270\) | 0.865953 | − | 4.91106i | 0.0527002 | − | 0.298878i | ||||
\(271\) | 1.89657 | + | 10.7560i | 0.115208 | + | 0.653380i | 0.986647 | + | 0.162875i | \(0.0520766\pi\) |
−0.871438 | + | 0.490505i | \(0.836812\pi\) | |||||||
\(272\) | 2.40454 | − | 0.875181i | 0.145797 | − | 0.0530656i | ||||
\(273\) | −7.18082 | + | 12.4375i | −0.434603 | + | 0.752755i | ||||
\(274\) | 6.82538 | + | 11.8219i | 0.412337 | + | 0.714188i | ||||
\(275\) | 4.94804 | + | 4.15190i | 0.298378 | + | 0.250369i | ||||
\(276\) | 11.5831 | + | 9.71939i | 0.697222 | + | 0.585039i | ||||
\(277\) | −4.52983 | − | 7.84590i | −0.272171 | − | 0.471414i | 0.697246 | − | 0.716832i | \(-0.254408\pi\) |
−0.969418 | + | 0.245417i | \(0.921075\pi\) | |||||||
\(278\) | 1.20851 | − | 2.09320i | 0.0724816 | − | 0.125542i | ||||
\(279\) | 0.292156 | − | 0.106336i | 0.0174909 | − | 0.00636618i | ||||
\(280\) | −0.236417 | − | 1.34079i | −0.0141286 | − | 0.0801274i | ||||
\(281\) | 2.65688 | − | 15.0679i | 0.158496 | − | 0.898876i | −0.797023 | − | 0.603948i | \(-0.793593\pi\) |
0.955520 | − | 0.294928i | \(-0.0952956\pi\) | |||||||
\(282\) | −16.0540 | − | 5.84318i | −0.956003 | − | 0.347957i | ||||
\(283\) | −7.54574 | + | 6.33163i | −0.448548 | + | 0.376376i | −0.838897 | − | 0.544291i | \(-0.816799\pi\) |
0.390349 | + | 0.920667i | \(0.372354\pi\) | |||||||
\(284\) | 1.93759 | 0.114975 | ||||||||
\(285\) | 2.45445 | + | 7.42883i | 0.145389 | + | 0.440046i | ||||
\(286\) | −37.9607 | −2.24466 | ||||||||
\(287\) | −5.72041 | + | 4.79999i | −0.337665 | + | 0.283335i | ||||
\(288\) | 0.208307 | + | 0.0758175i | 0.0122746 | + | 0.00446759i | ||||
\(289\) | −1.81501 | + | 10.2935i | −0.106766 | + | 0.605498i | ||||
\(290\) | −0.774248 | − | 4.39098i | −0.0454654 | − | 0.257847i | ||||
\(291\) | 0.208237 | − | 0.0757922i | 0.0122071 | − | 0.00444302i | ||||
\(292\) | 3.14173 | − | 5.44163i | 0.183856 | − | 0.318447i | ||||
\(293\) | −4.08936 | − | 7.08299i | −0.238903 | − | 0.413792i | 0.721497 | − | 0.692418i | \(-0.243455\pi\) |
−0.960400 | + | 0.278625i | \(0.910121\pi\) | |||||||
\(294\) | 7.07617 | + | 5.93761i | 0.412690 | + | 0.346288i | ||||
\(295\) | −7.87687 | − | 6.60948i | −0.458609 | − | 0.384819i | ||||
\(296\) | −2.21481 | − | 3.83616i | −0.128733 | − | 0.222972i | ||||
\(297\) | 16.1055 | − | 27.8955i | 0.934534 | − | 1.61866i | ||||
\(298\) | −2.08531 | + | 0.758990i | −0.120799 | + | 0.0439671i | ||||
\(299\) | 8.59717 | + | 48.7570i | 0.497187 | + | 2.81969i | ||||
\(300\) | 0.311682 | − | 1.76763i | 0.0179949 | − | 0.102054i | ||||
\(301\) | −8.76875 | − | 3.19157i | −0.505423 | − | 0.183959i | ||||
\(302\) | 8.94516 | − | 7.50588i | 0.514736 | − | 0.431915i | ||||
\(303\) | 24.5078 | 1.40794 | ||||||||
\(304\) | 4.31343 | − | 0.627978i | 0.247392 | − | 0.0360170i | ||||
\(305\) | 6.46322 | 0.370083 | ||||||||
\(306\) | 0.434528 | − | 0.364612i | 0.0248403 | − | 0.0208435i | ||||
\(307\) | 5.68175 | + | 2.06799i | 0.324275 | + | 0.118026i | 0.499028 | − | 0.866586i | \(-0.333691\pi\) |
−0.174753 | + | 0.984612i | \(0.555913\pi\) | |||||||
\(308\) | 1.52707 | − | 8.66043i | 0.0870127 | − | 0.493474i | ||||
\(309\) | −2.14259 | − | 12.1512i | −0.121888 | − | 0.691259i | ||||
\(310\) | −1.31794 | + | 0.479693i | −0.0748542 | + | 0.0272447i | ||||
\(311\) | −16.5582 | + | 28.6797i | −0.938932 | + | 1.62628i | −0.171463 | + | 0.985191i | \(0.554849\pi\) |
−0.767468 | + | 0.641087i | \(0.778484\pi\) | |||||||
\(312\) | 5.27431 | + | 9.13537i | 0.298599 | + | 0.517188i | ||||
\(313\) | −4.72802 | − | 3.96728i | −0.267244 | − | 0.224244i | 0.499312 | − | 0.866423i | \(-0.333586\pi\) |
−0.766555 | + | 0.642179i | \(0.778031\pi\) | |||||||
\(314\) | 3.18927 | + | 2.67611i | 0.179981 | + | 0.151022i | ||||
\(315\) | −0.150903 | − | 0.261371i | −0.00850240 | − | 0.0147266i | ||||
\(316\) | 1.79503 | − | 3.10908i | 0.100978 | − | 0.174900i | ||||
\(317\) | 15.4171 | − | 5.61135i | 0.865908 | − | 0.315165i | 0.129399 | − | 0.991593i | \(-0.458695\pi\) |
0.736509 | + | 0.676428i | \(0.236473\pi\) | |||||||
\(318\) | −1.37939 | − | 7.82293i | −0.0773525 | − | 0.438688i | ||||
\(319\) | 5.00103 | − | 28.3623i | 0.280004 | − | 1.58798i | ||||
\(320\) | −0.939693 | − | 0.342020i | −0.0525304 | − | 0.0191195i | ||||
\(321\) | 12.1550 | − | 10.1992i | 0.678425 | − | 0.569266i | ||||
\(322\) | −11.4694 | −0.639163 | ||||||||
\(323\) | 4.12710 | − | 10.3622i | 0.229638 | − | 0.576566i | ||||
\(324\) | −9.61589 | −0.534216 | ||||||||
\(325\) | 4.50203 | − | 3.77765i | 0.249728 | − | 0.209546i | ||||
\(326\) | 4.51272 | + | 1.64249i | 0.249936 | + | 0.0909694i | ||||
\(327\) | −2.96599 | + | 16.8210i | −0.164020 | + | 0.930202i | ||||
\(328\) | 0.952434 | + | 5.40152i | 0.0525894 | + | 0.298249i | ||||
\(329\) | 12.1773 | − | 4.43218i | 0.671357 | − | 0.244354i | ||||
\(330\) | 5.79683 | − | 10.0404i | 0.319105 | − | 0.552706i | ||||
\(331\) | −8.53392 | − | 14.7812i | −0.469066 | − | 0.812447i | 0.530308 | − | 0.847805i | \(-0.322076\pi\) |
−0.999375 | + | 0.0353579i | \(0.988743\pi\) | |||||||
\(332\) | −10.3411 | − | 8.67725i | −0.567544 | − | 0.476226i | ||||
\(333\) | −0.752208 | − | 0.631178i | −0.0412208 | − | 0.0345883i | ||||
\(334\) | −1.93358 | − | 3.34906i | −0.105801 | − | 0.183252i | ||||
\(335\) | 3.35981 | − | 5.81936i | 0.183566 | − | 0.317946i | ||||
\(336\) | −2.29634 | + | 0.835798i | −0.125275 | + | 0.0455965i | ||||
\(337\) | 3.27441 | + | 18.5701i | 0.178368 | + | 1.01158i | 0.934184 | + | 0.356792i | \(0.116130\pi\) |
−0.755816 | + | 0.654785i | \(0.772759\pi\) | |||||||
\(338\) | −3.74020 | + | 21.2117i | −0.203440 | + | 1.15377i | ||||
\(339\) | 18.6880 | + | 6.80187i | 1.01499 | + | 0.369427i | ||||
\(340\) | −1.96020 | + | 1.64480i | −0.106307 | + | 0.0892019i | ||||
\(341\) | −9.05922 | −0.490584 | ||||||||
\(342\) | 0.850905 | − | 0.457845i | 0.0460117 | − | 0.0247574i | ||||
\(343\) | −16.5370 | −0.892913 | ||||||||
\(344\) | −5.25046 | + | 4.40566i | −0.283086 | + | 0.237537i | ||||
\(345\) | −14.2088 | − | 5.17158i | −0.764976 | − | 0.278429i | ||||
\(346\) | −2.00370 | + | 11.3636i | −0.107720 | + | 0.610909i | ||||
\(347\) | 0.939047 | + | 5.32560i | 0.0504107 | + | 0.285893i | 0.999583 | − | 0.0288626i | \(-0.00918852\pi\) |
−0.949173 | + | 0.314756i | \(0.898077\pi\) | |||||||
\(348\) | −7.52033 | + | 2.73718i | −0.403132 | + | 0.146728i | ||||
\(349\) | 18.1540 | − | 31.4436i | 0.971761 | − | 1.68314i | 0.281526 | − | 0.959554i | \(-0.409159\pi\) |
0.690235 | − | 0.723586i | \(-0.257507\pi\) | |||||||
\(350\) | 0.680736 | + | 1.17907i | 0.0363869 | + | 0.0630239i | ||||
\(351\) | −22.4508 | − | 18.8385i | −1.19834 | − | 1.00552i | ||||
\(352\) | −4.94804 | − | 4.15190i | −0.263731 | − | 0.221297i | ||||
\(353\) | 0.614958 | + | 1.06514i | 0.0327309 | + | 0.0566916i | 0.881927 | − | 0.471386i | \(-0.156246\pi\) |
−0.849196 | + | 0.528078i | \(0.822913\pi\) | |||||||
\(354\) | −9.22807 | + | 15.9835i | −0.490466 | + | 0.849513i | ||||
\(355\) | −1.82074 | + | 0.662695i | −0.0966348 | + | 0.0351722i | ||||
\(356\) | −0.329236 | − | 1.86719i | −0.0174495 | − | 0.0989610i | ||||
\(357\) | −1.08584 | + | 6.15810i | −0.0574687 | + | 0.325921i | ||||
\(358\) | 7.87426 | + | 2.86600i | 0.416168 | + | 0.151473i | ||||
\(359\) | −11.5897 | + | 9.72494i | −0.611683 | + | 0.513263i | −0.895177 | − | 0.445711i | \(-0.852951\pi\) |
0.283494 | + | 0.958974i | \(0.408506\pi\) | |||||||
\(360\) | −0.221676 | −0.0116833 | ||||||||
\(361\) | 10.4684 | − | 15.8560i | 0.550967 | − | 0.834527i | ||||
\(362\) | 10.6256 | 0.558470 | ||||||||
\(363\) | 42.2411 | − | 35.4445i | 2.21709 | − | 1.86036i | ||||
\(364\) | −7.51881 | − | 2.73662i | −0.394093 | − | 0.143438i | ||||
\(365\) | −1.09111 | + | 6.18799i | −0.0571113 | + | 0.323894i | ||||
\(366\) | −2.01447 | − | 11.4246i | −0.105298 | − | 0.597174i | ||||
\(367\) | 1.98697 | − | 0.723196i | 0.103719 | − | 0.0377505i | −0.289640 | − | 0.957136i | \(-0.593535\pi\) |
0.393358 | + | 0.919385i | \(0.371313\pi\) | |||||||
\(368\) | −4.21212 | + | 7.29560i | −0.219572 | + | 0.380310i | ||||
\(369\) | 0.607928 | + | 1.05296i | 0.0316475 | + | 0.0548151i | ||||
\(370\) | 3.39328 | + | 2.84730i | 0.176408 | + | 0.148024i | ||||
\(371\) | 4.61572 | + | 3.87305i | 0.239636 | + | 0.201079i | ||||
\(372\) | 1.25870 | + | 2.18013i | 0.0652605 | + | 0.113035i | ||||
\(373\) | −2.51876 | + | 4.36262i | −0.130416 | + | 0.225888i | −0.923837 | − | 0.382786i | \(-0.874965\pi\) |
0.793421 | + | 0.608674i | \(0.208298\pi\) | |||||||
\(374\) | −15.5314 | + | 5.65298i | −0.803111 | + | 0.292308i | ||||
\(375\) | 0.311682 | + | 1.76763i | 0.0160952 | + | 0.0912802i | ||||
\(376\) | 1.65283 | − | 9.37364i | 0.0852380 | − | 0.483409i | ||||
\(377\) | −24.6235 | − | 8.96223i | −1.26818 | − | 0.461579i | ||||
\(378\) | 5.20100 | − | 4.36415i | 0.267510 | − | 0.224468i | ||||
\(379\) | 37.2812 | 1.91501 | 0.957503 | − | 0.288423i | \(-0.0931308\pi\) | ||||
0.957503 | + | 0.288423i | \(0.0931308\pi\) | |||||||
\(380\) | −3.83851 | + | 2.06538i | −0.196912 | + | 0.105952i | ||||
\(381\) | 16.4993 | 0.845282 | ||||||||
\(382\) | −8.31264 | + | 6.97514i | −0.425312 | + | 0.356879i | ||||
\(383\) | −13.9869 | − | 5.09082i | −0.714698 | − | 0.260129i | −0.0410250 | − | 0.999158i | \(-0.513062\pi\) |
−0.673673 | + | 0.739029i | \(0.735285\pi\) | |||||||
\(384\) | −0.311682 | + | 1.76763i | −0.0159054 | + | 0.0902042i | ||||
\(385\) | 1.52707 | + | 8.66043i | 0.0778266 | + | 0.441376i | ||||
\(386\) | 1.81949 | − | 0.662240i | 0.0926096 | − | 0.0337071i | ||||
\(387\) | −0.759681 | + | 1.31581i | −0.0386168 | + | 0.0668862i | ||||
\(388\) | 0.0617308 | + | 0.106921i | 0.00313391 | + | 0.00542808i | ||||
\(389\) | 23.6259 | + | 19.8245i | 1.19788 | + | 1.00514i | 0.999688 | + | 0.0249764i | \(0.00795105\pi\) |
0.198191 | + | 0.980163i | \(0.436493\pi\) | |||||||
\(390\) | −8.08071 | − | 6.78052i | −0.409183 | − | 0.343345i | ||||
\(391\) | 10.7782 | + | 18.6684i | 0.545078 | + | 0.944102i | ||||
\(392\) | −2.57320 | + | 4.45691i | −0.129966 | + | 0.225108i | ||||
\(393\) | −0.186538 | + | 0.0678943i | −0.00940960 | + | 0.00342482i | ||||
\(394\) | −2.12787 | − | 12.0678i | −0.107201 | − | 0.607966i | ||||
\(395\) | −0.623407 | + | 3.53552i | −0.0313670 | + | 0.177891i | ||||
\(396\) | −1.34550 | − | 0.489721i | −0.0676138 | − | 0.0246094i | ||||
\(397\) | −16.9711 | + | 14.2405i | −0.851756 | + | 0.714708i | −0.960176 | − | 0.279397i | \(-0.909865\pi\) |
0.108420 | + | 0.994105i | \(0.465421\pi\) | |||||||
\(398\) | 0.432975 | 0.0217031 | ||||||||
\(399\) | −3.94138 | + | 9.89586i | −0.197316 | + | 0.495413i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 23.8011 | − | 19.9715i | 1.18857 | − | 0.997330i | 0.188688 | − | 0.982037i | \(-0.439576\pi\) |
0.999883 | − | 0.0152927i | \(-0.00486799\pi\) | |||||||
\(402\) | −11.3337 | − | 4.12513i | −0.565273 | − | 0.205743i | ||||
\(403\) | −1.43132 | + | 8.11741i | −0.0712990 | + | 0.404357i | ||||
\(404\) | 2.37101 | + | 13.4467i | 0.117962 | + | 0.668997i | ||||
\(405\) | 9.03598 | − | 3.28883i | 0.449001 | − | 0.163423i | ||||
\(406\) | 3.03521 | − | 5.25714i | 0.150635 | − | 0.260907i | ||||
\(407\) | 14.3059 | + | 24.7786i | 0.709118 | + | 1.22823i | ||||
\(408\) | 3.51836 | + | 2.95226i | 0.174185 | + | 0.146159i | ||||
\(409\) | 1.56037 | + | 1.30931i | 0.0771554 | + | 0.0647411i | 0.680550 | − | 0.732702i | \(-0.261741\pi\) |
−0.603394 | + | 0.797443i | \(0.706185\pi\) | |||||||
\(410\) | −2.74242 | − | 4.75002i | −0.135439 | − | 0.234587i | ||||
\(411\) | −12.2509 | + | 21.2192i | −0.604292 | + | 1.04667i | ||||
\(412\) | 6.45971 | − | 2.35114i | 0.318247 | − | 0.115833i | ||||
\(413\) | −2.43097 | − | 13.7867i | −0.119620 | − | 0.678399i | ||||
\(414\) | −0.324279 | + | 1.83908i | −0.0159374 | + | 0.0903857i | ||||
\(415\) | 12.6853 | + | 4.61707i | 0.622696 | + | 0.226643i | ||||
\(416\) | −4.50203 | + | 3.77765i | −0.220730 | + | 0.185215i | ||||
\(417\) | 4.33832 | 0.212448 | ||||||||
\(418\) | −27.8613 | + | 4.05624i | −1.36274 | + | 0.198397i | ||||
\(419\) | −11.2236 | −0.548308 | −0.274154 | − | 0.961686i | \(-0.588398\pi\) | ||||
−0.274154 | + | 0.961686i | \(0.588398\pi\) | |||||||
\(420\) | 1.87199 | − | 1.57079i | 0.0913438 | − | 0.0766465i | ||||
\(421\) | 9.19144 | + | 3.34541i | 0.447964 | + | 0.163045i | 0.556144 | − | 0.831086i | \(-0.312280\pi\) |
−0.108181 | + | 0.994131i | \(0.534502\pi\) | |||||||
\(422\) | 2.38680 | − | 13.5362i | 0.116187 | − | 0.658932i | ||||
\(423\) | −0.366391 | − | 2.07791i | −0.0178146 | − | 0.101031i | ||||
\(424\) | 4.15875 | − | 1.51366i | 0.201967 | − | 0.0735099i | ||||
\(425\) | 1.27943 | − | 2.21604i | 0.0620614 | − | 0.107493i | ||||
\(426\) | 1.73889 | + | 3.01185i | 0.0842496 | + | 0.145925i | ||||
\(427\) | 6.74080 | + | 5.65620i | 0.326210 | + | 0.273723i | ||||
\(428\) | 6.77195 | + | 5.68234i | 0.327335 | + | 0.274666i | ||||
\(429\) | −34.0679 | − | 59.0073i | −1.64481 | − | 2.84890i | ||||
\(430\) | 3.42699 | − | 5.93573i | 0.165264 | − | 0.286246i | ||||
\(431\) | 4.58045 | − | 1.66715i | 0.220633 | − | 0.0803037i | −0.229339 | − | 0.973347i | \(-0.573656\pi\) |
0.449971 | + | 0.893043i | \(0.351434\pi\) | |||||||
\(432\) | −0.865953 | − | 4.91106i | −0.0416632 | − | 0.236284i | ||||
\(433\) | −3.45838 | + | 19.6135i | −0.166199 | + | 0.942563i | 0.781620 | + | 0.623755i | \(0.214394\pi\) |
−0.947819 | + | 0.318808i | \(0.896717\pi\) | |||||||
\(434\) | −1.79434 | − | 0.653088i | −0.0861313 | − | 0.0313492i | ||||
\(435\) | 6.13063 | − | 5.14421i | 0.293941 | − | 0.246646i | ||||
\(436\) | −9.51609 | −0.455738 | ||||||||
\(437\) | 11.5198 | + | 34.8666i | 0.551066 | + | 1.66790i | ||||
\(438\) | 11.2782 | 0.538892 | ||||||||
\(439\) | −16.3249 | + | 13.6982i | −0.779145 | + | 0.653780i | −0.943033 | − | 0.332699i | \(-0.892041\pi\) |
0.163888 | + | 0.986479i | \(0.447596\pi\) | |||||||
\(440\) | 6.06967 | + | 2.20918i | 0.289360 | + | 0.105319i | ||||
\(441\) | −0.198103 | + | 1.12350i | −0.00943348 | + | 0.0534999i | ||||
\(442\) | 2.61138 | + | 14.8099i | 0.124211 | + | 0.704435i | ||||
\(443\) | 5.81205 | − | 2.11541i | 0.276139 | − | 0.100506i | −0.200239 | − | 0.979747i | \(-0.564172\pi\) |
0.476377 | + | 0.879241i | \(0.341950\pi\) | |||||||
\(444\) | 3.97537 | − | 6.88554i | 0.188662 | − | 0.326773i | ||||
\(445\) | 0.947998 | + | 1.64198i | 0.0449394 | + | 0.0778374i | ||||
\(446\) | 17.2475 | + | 14.4723i | 0.816691 | + | 0.685285i | ||||
\(447\) | −3.05126 | − | 2.56031i | −0.144320 | − | 0.121099i | ||||
\(448\) | −0.680736 | − | 1.17907i | −0.0321617 | − | 0.0557058i | ||||
\(449\) | −20.3687 | + | 35.2797i | −0.961260 | + | 1.66495i | −0.241914 | + | 0.970298i | \(0.577775\pi\) |
−0.719345 | + | 0.694653i | \(0.755558\pi\) | |||||||
\(450\) | 0.208307 | − | 0.0758175i | 0.00981968 | − | 0.00357407i | ||||
\(451\) | −6.15197 | − | 34.8896i | −0.289685 | − | 1.64288i | ||||
\(452\) | −1.92400 | + | 10.9116i | −0.0904975 | + | 0.513237i | ||||
\(453\) | 19.6952 | + | 7.16847i | 0.925362 | + | 0.336804i | ||||
\(454\) | 14.4325 | − | 12.1103i | 0.677353 | − | 0.568366i | ||||
\(455\) | 8.00135 | 0.375109 | ||||||||
\(456\) | 4.84724 | + | 6.14134i | 0.226993 | + | 0.287595i | ||||
\(457\) | 14.7073 | 0.687978 | 0.343989 | − | 0.938974i | \(-0.388222\pi\) | ||||
0.343989 | + | 0.938974i | \(0.388222\pi\) | |||||||
\(458\) | 3.46121 | − | 2.90430i | 0.161732 | − | 0.135709i | ||||
\(459\) | −11.9910 | − | 4.36437i | −0.559692 | − | 0.203711i | ||||
\(460\) | 1.46285 | − | 8.29626i | 0.0682059 | − | 0.386815i | ||||
\(461\) | −2.43148 | − | 13.7896i | −0.113245 | − | 0.642245i | −0.987604 | − | 0.156966i | \(-0.949829\pi\) |
0.874359 | − | 0.485280i | \(-0.161282\pi\) | |||||||
\(462\) | 14.8325 | − | 5.39859i | 0.690071 | − | 0.251165i | ||||
\(463\) | −1.13697 | + | 1.96929i | −0.0528394 | + | 0.0915206i | −0.891235 | − | 0.453541i | \(-0.850160\pi\) |
0.838396 | + | 0.545062i | \(0.183494\pi\) | |||||||
\(464\) | −2.22936 | − | 3.86136i | −0.103495 | − | 0.179259i | ||||
\(465\) | −1.92844 | − | 1.61815i | −0.0894293 | − | 0.0750401i | ||||
\(466\) | 8.24507 | + | 6.91843i | 0.381945 | + | 0.320490i | ||||
\(467\) | 14.7327 | + | 25.5178i | 0.681749 | + | 1.18082i | 0.974447 | + | 0.224618i | \(0.0721136\pi\) |
−0.292698 | + | 0.956205i | \(0.594553\pi\) | |||||||
\(468\) | −0.651392 | + | 1.12824i | −0.0301106 | + | 0.0521531i | ||||
\(469\) | 8.59685 | − | 3.12900i | 0.396966 | − | 0.144484i | ||||
\(470\) | 1.65283 | + | 9.37364i | 0.0762392 | + | 0.432374i | ||||
\(471\) | −1.29762 | + | 7.35917i | −0.0597912 | + | 0.339093i | ||||
\(472\) | −9.66242 | − | 3.51683i | −0.444749 | − | 0.161875i | ||||
\(473\) | 33.9138 | − | 28.4571i | 1.55936 | − | 1.30846i | ||||
\(474\) | 6.44381 | 0.295974 | ||||||||
\(475\) | 2.90062 | − | 3.25368i | 0.133090 | − | 0.149289i | ||||
\(476\) | −3.48381 | −0.159680 | ||||||||
\(477\) | 0.751534 | − | 0.630612i | 0.0344104 | − | 0.0288738i | ||||
\(478\) | 21.9907 | + | 8.00397i | 1.00583 | + | 0.366093i | ||||
\(479\) | 3.55187 | − | 20.1437i | 0.162289 | − | 0.920387i | −0.789527 | − | 0.613716i | \(-0.789674\pi\) |
0.951816 | − | 0.306671i | \(-0.0992150\pi\) | |||||||
\(480\) | −0.311682 | − | 1.76763i | −0.0142263 | − | 0.0806811i | ||||
\(481\) | 24.4628 | − | 8.90374i | 1.11541 | − | 0.405976i | ||||
\(482\) | −10.4477 | + | 18.0960i | −0.475880 | + | 0.824248i | ||||
\(483\) | −10.2932 | − | 17.8283i | −0.468357 | − | 0.811217i | ||||
\(484\) | 23.5339 | + | 19.7473i | 1.06972 | + | 0.897606i | ||||
\(485\) | −0.0945771 | − | 0.0793596i | −0.00429452 | − | 0.00360353i | ||||
\(486\) | −1.14956 | − | 1.99109i | −0.0521450 | − | 0.0903178i | ||||
\(487\) | −14.5597 | + | 25.2182i | −0.659765 | + | 1.14275i | 0.320912 | + | 0.947109i | \(0.396011\pi\) |
−0.980676 | + | 0.195637i | \(0.937323\pi\) | |||||||
\(488\) | 6.07344 | − | 2.21055i | 0.274932 | − | 0.100067i | ||||
\(489\) | 1.49680 | + | 8.48877i | 0.0676876 | + | 0.383875i | ||||
\(490\) | 0.893662 | − | 5.06821i | 0.0403715 | − | 0.228958i | ||||
\(491\) | −15.6448 | − | 5.69426i | −0.706042 | − | 0.256978i | −0.0360537 | − | 0.999350i | \(-0.511479\pi\) |
−0.669988 | + | 0.742372i | \(0.733701\pi\) | |||||||
\(492\) | −7.54153 | + | 6.32809i | −0.339998 | + | 0.285293i | ||||
\(493\) | −11.4092 | −0.513846 | ||||||||
\(494\) | −0.767422 | + | 25.6057i | −0.0345279 | + | 1.15205i | ||||
\(495\) | 1.43185 | 0.0643568 | ||||||||
\(496\) | −1.07440 | + | 0.901527i | −0.0482419 | + | 0.0404798i | ||||
\(497\) | −2.47888 | − | 0.902240i | −0.111193 | − | 0.0404710i | ||||
\(498\) | 4.20752 | − | 23.8620i | 0.188543 | − | 1.06928i | ||||
\(499\) | 5.09005 | + | 28.8671i | 0.227862 | + | 1.29227i | 0.857138 | + | 0.515087i | \(0.172240\pi\) |
−0.629276 | + | 0.777182i | \(0.716649\pi\) | |||||||
\(500\) | −0.939693 | + | 0.342020i | −0.0420243 | + | 0.0152956i | ||||
\(501\) | 3.47058 | − | 6.01123i | 0.155054 | − | 0.268562i | ||||
\(502\) | −8.95251 | − | 15.5062i | −0.399570 | − | 0.692075i | ||||
\(503\) | 5.41129 | + | 4.54061i | 0.241277 | + | 0.202456i | 0.755405 | − | 0.655258i | \(-0.227440\pi\) |
−0.514128 | + | 0.857713i | \(0.671884\pi\) | |||||||
\(504\) | −0.231196 | − | 0.193997i | −0.0102983 | − | 0.00864129i | ||||
\(505\) | −6.82705 | − | 11.8248i | −0.303800 | − | 0.526197i | ||||
\(506\) | 27.2070 | − | 47.1238i | 1.20950 | − | 2.09491i | ||||
\(507\) | −36.3288 | + | 13.2226i | −1.61342 | + | 0.587237i | ||||
\(508\) | 1.59622 | + | 9.05263i | 0.0708209 | + | 0.401646i | ||||
\(509\) | 2.11320 | − | 11.9846i | 0.0936661 | − | 0.531207i | −0.901482 | − | 0.432817i | \(-0.857520\pi\) |
0.995148 | − | 0.0983900i | \(-0.0313693\pi\) | |||||||
\(510\) | −4.31591 | − | 1.57086i | −0.191112 | − | 0.0695590i | ||||
\(511\) | −6.55331 | + | 5.49888i | −0.289901 | + | 0.243256i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −18.4908 | − | 11.4276i | −0.816389 | − | 0.504540i | ||||
\(514\) | 0.486888 | 0.0214757 | ||||||||
\(515\) | −5.26601 | + | 4.41870i | −0.232048 | + | 0.194711i | ||||
\(516\) | −11.5603 | − | 4.20761i | −0.508915 | − | 0.185230i | ||||
\(517\) | −10.6760 | + | 60.5463i | −0.469528 | + | 2.66282i | ||||
\(518\) | 1.04724 | + | 5.93918i | 0.0460130 | + | 0.260952i | ||||
\(519\) | −19.4621 | + | 7.08363i | −0.854292 | + | 0.310937i | ||||
\(520\) | 2.93849 | − | 5.08962i | 0.128861 | − | 0.223195i | ||||
\(521\) | −12.6575 | − | 21.9234i | −0.554535 | − | 0.960483i | −0.997940 | − | 0.0641611i | \(-0.979563\pi\) |
0.443405 | − | 0.896322i | \(-0.353770\pi\) | |||||||
\(522\) | −0.757150 | − | 0.635324i | −0.0331396 | − | 0.0278074i | ||||
\(523\) | 33.1069 | + | 27.7800i | 1.44766 | + | 1.21473i | 0.934263 | + | 0.356583i | \(0.116058\pi\) |
0.513399 | + | 0.858150i | \(0.328386\pi\) | |||||||
\(524\) | −0.0552982 | − | 0.0957793i | −0.00241571 | − | 0.00418414i | ||||
\(525\) | −1.22185 | + | 2.11631i | −0.0533261 | + | 0.0923635i | ||||
\(526\) | −20.7375 | + | 7.54785i | −0.904200 | + | 0.329102i | ||||
\(527\) | 0.623200 | + | 3.53434i | 0.0271470 | + | 0.153958i | ||||
\(528\) | 2.01322 | − | 11.4175i | 0.0876140 | − | 0.496884i | ||||
\(529\) | −45.0750 | − | 16.4060i | −1.95978 | − | 0.713302i | ||||
\(530\) | −3.39024 | + | 2.84475i | −0.147263 | + | 0.123568i | ||||
\(531\) | −2.27939 | −0.0989169 | ||||||||
\(532\) | −5.81086 | − | 1.20514i | −0.251933 | − | 0.0522493i | ||||
\(533\) | −32.2344 | −1.39623 | ||||||||
\(534\) | 2.60695 | − | 2.18749i | 0.112814 | − | 0.0946619i | ||||
\(535\) | −8.30703 | − | 3.02351i | −0.359144 | − | 0.130718i | ||||
\(536\) | 1.16685 | − | 6.61753i | 0.0504002 | − | 0.285834i | ||||
\(537\) | 2.61177 | + | 14.8121i | 0.112706 | + | 0.639189i | ||||
\(538\) | 16.6789 | − | 6.07061i | 0.719076 | − | 0.261722i | ||||
\(539\) | 16.6208 | − | 28.7881i | 0.715909 | − | 1.23999i | ||||
\(540\) | 2.49341 | + | 4.31871i | 0.107299 | + | 0.185848i | ||||
\(541\) | −16.8919 | − | 14.1740i | −0.726240 | − | 0.609388i | 0.202864 | − | 0.979207i | \(-0.434975\pi\) |
−0.929104 | + | 0.369819i | \(0.879420\pi\) | |||||||
\(542\) | −8.36667 | − | 7.02047i | −0.359379 | − | 0.301555i | ||||
\(543\) | 9.53597 | + | 16.5168i | 0.409228 | + | 0.708803i | ||||
\(544\) | −1.27943 | + | 2.21604i | −0.0548550 | + | 0.0950117i | ||||
\(545\) | 8.94220 | − | 3.25470i | 0.383042 | − | 0.139416i | ||||
\(546\) | −2.49387 | − | 14.1435i | −0.106728 | − | 0.605284i | ||||
\(547\) | 4.17215 | − | 23.6615i | 0.178388 | − | 1.01169i | −0.755771 | − | 0.654836i | \(-0.772738\pi\) |
0.934160 | − | 0.356855i | \(-0.116151\pi\) | |||||||
\(548\) | −12.8275 | − | 4.66884i | −0.547965 | − | 0.199443i | ||||
\(549\) | 1.09754 | − | 0.920946i | 0.0468419 | − | 0.0393050i | ||||
\(550\) | −6.45921 | −0.275422 | ||||||||
\(551\) | −19.0301 | − | 3.94673i | −0.810712 | − | 0.168137i | ||||
\(552\) | −15.1207 | −0.643579 | ||||||||
\(553\) | −3.74424 | + | 3.14179i | −0.159221 | + | 0.133603i | ||||
\(554\) | 8.51330 | + | 3.09859i | 0.361695 | + | 0.131646i | ||||
\(555\) | −1.38063 | + | 7.82994i | −0.0586045 | + | 0.332363i | ||||
\(556\) | 0.419711 | + | 2.38030i | 0.0177997 | + | 0.100947i | ||||
\(557\) | −4.28175 | + | 1.55843i | −0.181424 | + | 0.0660328i | −0.431135 | − | 0.902288i | \(-0.641887\pi\) |
0.249711 | + | 0.968320i | \(0.419664\pi\) | |||||||
\(558\) | −0.155453 | + | 0.269253i | −0.00658085 | + | 0.0113984i | ||||
\(559\) | −20.1404 | − | 34.8842i | −0.851848 | − | 1.47544i | ||||
\(560\) | 1.04295 | + | 0.875137i | 0.0440726 | + | 0.0369813i | ||||
\(561\) | −22.7259 | − | 19.0693i | −0.959486 | − | 0.805105i | ||||
\(562\) | 7.65018 | + | 13.2505i | 0.322703 | + | 0.558939i | ||||
\(563\) | 11.5030 | − | 19.9237i | 0.484792 | − | 0.839684i | −0.515056 | − | 0.857157i | \(-0.672229\pi\) |
0.999847 | + | 0.0174729i | \(0.00556209\pi\) | |||||||
\(564\) | 16.0540 | − | 5.84318i | 0.675996 | − | 0.246042i | ||||
\(565\) | −1.92400 | − | 10.9116i | −0.0809434 | − | 0.459053i | ||||
\(566\) | 1.71048 | − | 9.70062i | 0.0718969 | − | 0.407747i | ||||
\(567\) | 12.3022 | + | 4.47765i | 0.516645 | + | 0.188043i | ||||
\(568\) | −1.48428 | + | 1.24546i | −0.0622790 | + | 0.0522583i | ||||
\(569\) | −39.2546 | −1.64564 | −0.822819 | − | 0.568303i | \(-0.807600\pi\) | ||||
−0.822819 | + | 0.568303i | \(0.807600\pi\) | |||||||
\(570\) | −6.65538 | − | 4.11312i | −0.278763 | − | 0.172280i | ||||
\(571\) | −20.4203 | −0.854563 | −0.427282 | − | 0.904119i | \(-0.640529\pi\) | ||||
−0.427282 | + | 0.904119i | \(0.640529\pi\) | |||||||
\(572\) | 29.0796 | − | 24.4007i | 1.21588 | − | 1.02024i | ||||
\(573\) | −18.3026 | − | 6.66159i | −0.764601 | − | 0.278292i | ||||
\(574\) | 1.29671 | − | 7.35402i | 0.0541237 | − | 0.306951i | ||||
\(575\) | 1.46285 | + | 8.29626i | 0.0610052 | + | 0.345978i | ||||
\(576\) | −0.208307 | + | 0.0758175i | −0.00867946 | + | 0.00315906i | ||||
\(577\) | 11.0328 | − | 19.1093i | 0.459300 | − | 0.795531i | −0.539624 | − | 0.841906i | \(-0.681434\pi\) |
0.998924 | + | 0.0463754i | \(0.0147670\pi\) | |||||||
\(578\) | −5.22613 | − | 9.05191i | −0.217378 | − | 0.376510i | ||||
\(579\) | 2.66231 | + | 2.23394i | 0.110642 | + | 0.0928396i | ||||
\(580\) | 3.41558 | + | 2.86601i | 0.141824 | + | 0.119005i | ||||
\(581\) | 9.18953 | + | 15.9167i | 0.381246 | + | 0.660337i | ||||
\(582\) | −0.110801 | + | 0.191913i | −0.00459284 | + | 0.00795503i | ||||
\(583\) | −26.8622 | + | 9.77706i | −1.11252 | + | 0.404924i | ||||
\(584\) | 1.09111 | + | 6.18799i | 0.0451504 | + | 0.256061i | ||||
\(585\) | 0.226226 | − | 1.28299i | 0.00935330 | − | 0.0530452i | ||||
\(586\) | 7.68549 | + | 2.79729i | 0.317485 | + | 0.115555i | ||||
\(587\) | −2.17270 | + | 1.82311i | −0.0896768 | + | 0.0752478i | −0.686524 | − | 0.727107i | \(-0.740864\pi\) |
0.596847 | + | 0.802355i | \(0.296420\pi\) | |||||||
\(588\) | −9.23728 | −0.380939 | ||||||||
\(589\) | −0.183143 | + | 6.11073i | −0.00754629 | + | 0.251788i | ||||
\(590\) | 10.2825 | 0.423325 | ||||||||
\(591\) | 16.8489 | − | 14.1379i | 0.693070 | − | 0.581554i | ||||
\(592\) | 4.16248 | + | 1.51502i | 0.171077 | + | 0.0622669i | ||||
\(593\) | −7.28557 | + | 41.3185i | −0.299183 | + | 1.69675i | 0.350515 | + | 0.936557i | \(0.386006\pi\) |
−0.649698 | + | 0.760192i | \(0.725105\pi\) | |||||||
\(594\) | 5.59337 | + | 31.7216i | 0.229499 | + | 1.30155i | ||||
\(595\) | 3.27371 | − | 1.19153i | 0.134209 | − | 0.0488481i | ||||
\(596\) | 1.10957 | − | 1.92183i | 0.0454498 | − | 0.0787213i | ||||
\(597\) | 0.388574 | + | 0.673031i | 0.0159033 | + | 0.0275453i | ||||
\(598\) | −37.9262 | − | 31.8238i | −1.55092 | − | 1.30137i | ||||
\(599\) | −23.2333 | − | 19.4950i | −0.949286 | − | 0.796546i | 0.0298911 | − | 0.999553i | \(-0.490484\pi\) |
−0.979177 | + | 0.203008i | \(0.934928\pi\) | |||||||
\(600\) | 0.897451 | + | 1.55443i | 0.0366383 | + | 0.0634594i | ||||
\(601\) | −16.4125 | + | 28.4274i | −0.669482 | + | 1.15958i | 0.308568 | + | 0.951202i | \(0.400150\pi\) |
−0.978049 | + | 0.208374i | \(0.933183\pi\) | |||||||
\(602\) | 8.76875 | − | 3.19157i | 0.357388 | − | 0.130078i | ||||
\(603\) | −0.258662 | − | 1.46695i | −0.0105335 | − | 0.0597387i | ||||
\(604\) | −2.02770 | + | 11.4997i | −0.0825060 | + | 0.467915i | ||||
\(605\) | −28.8687 | − | 10.5073i | −1.17368 | − | 0.427184i | ||||
\(606\) | −18.7741 | + | 15.7533i | −0.762644 | + | 0.639934i | ||||
\(607\) | −7.07201 | −0.287044 | −0.143522 | − | 0.989647i | \(-0.545843\pi\) | ||||
−0.143522 | + | 0.989647i | \(0.545843\pi\) | |||||||
\(608\) | −2.90062 | + | 3.25368i | −0.117636 | + | 0.131954i | ||||
\(609\) | 10.8958 | 0.441521 | ||||||||
\(610\) | −4.95111 | + | 4.15448i | −0.200465 | + | 0.168210i | ||||
\(611\) | 52.5651 | + | 19.1321i | 2.12656 | + | 0.774003i | ||||
\(612\) | −0.0984995 | + | 0.558619i | −0.00398161 | + | 0.0225808i | ||||
\(613\) | −3.66501 | − | 20.7853i | −0.148028 | − | 0.839510i | −0.964886 | − | 0.262670i | \(-0.915397\pi\) |
0.816857 | − | 0.576840i | \(-0.195714\pi\) | |||||||
\(614\) | −5.68175 | + | 2.06799i | −0.229297 | + | 0.0834572i | ||||
\(615\) | 4.92238 | − | 8.52582i | 0.198490 | − | 0.343794i | ||||
\(616\) | 4.39702 | + | 7.61585i | 0.177161 | + | 0.306852i | ||||
\(617\) | −22.4149 | − | 18.8083i | −0.902390 | − | 0.757195i | 0.0682659 | − | 0.997667i | \(-0.478253\pi\) |
−0.970656 | + | 0.240472i | \(0.922698\pi\) | |||||||
\(618\) | 9.45197 | + | 7.93114i | 0.380214 | + | 0.319037i | ||||
\(619\) | 8.81402 | + | 15.2663i | 0.354265 | + | 0.613606i | 0.986992 | − | 0.160770i | \(-0.0513976\pi\) |
−0.632727 | + | 0.774375i | \(0.718064\pi\) | |||||||
\(620\) | 0.701264 | − | 1.21462i | 0.0281634 | − | 0.0487805i | ||||
\(621\) | 39.4767 | − | 14.3683i | 1.58414 | − | 0.576581i | ||||
\(622\) | −5.75062 | − | 32.6134i | −0.230579 | − | 1.30768i | ||||
\(623\) | −0.448246 | + | 2.54213i | −0.0179586 | + | 0.101848i | ||||
\(624\) | −9.91246 | − | 3.60784i | −0.396816 | − | 0.144429i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | 6.17199 | 0.246682 | ||||||||
\(627\) | −31.3093 | − | 39.6682i | −1.25037 | − | 1.58420i | ||||
\(628\) | −4.16329 | −0.166133 | ||||||||
\(629\) | 8.68293 | − | 7.28584i | 0.346211 | − | 0.290505i | ||||
\(630\) | 0.283604 | + | 0.103223i | 0.0112991 | + | 0.00411252i | ||||
\(631\) | 5.98586 | − | 33.9475i | 0.238293 | − | 1.35143i | −0.597273 | − | 0.802038i | \(-0.703749\pi\) |
0.835566 | − | 0.549390i | \(-0.185140\pi\) | |||||||
\(632\) | 0.623407 | + | 3.53552i | 0.0247978 | + | 0.140635i | ||||
\(633\) | 23.1831 | − | 8.43797i | 0.921447 | − | 0.335379i | ||||
\(634\) | −8.20325 | + | 14.2084i | −0.325793 | + | 0.564289i | ||||
\(635\) | −4.59614 | − | 7.96075i | −0.182392 | − | 0.315913i | ||||
\(636\) | 6.08516 | + | 5.10605i | 0.241292 | + | 0.202468i | ||||
\(637\) | −23.1692 | − | 19.4413i | −0.917998 | − | 0.770292i | ||||
\(638\) | 14.3999 | + | 24.9414i | 0.570097 | + | 0.987438i | ||||
\(639\) | −0.214758 | + | 0.371972i | −0.00849570 | + | 0.0147150i | ||||
\(640\) | 0.939693 | − | 0.342020i | 0.0371446 | − | 0.0135195i | ||||
\(641\) | 8.27820 | + | 46.9480i | 0.326969 | + | 1.85434i | 0.495458 | + | 0.868632i | \(0.335000\pi\) |
−0.168489 | + | 0.985704i | \(0.553889\pi\) | |||||||
\(642\) | −2.75531 | + | 15.6262i | −0.108744 | + | 0.616715i | ||||
\(643\) | 8.90463 | + | 3.24102i | 0.351164 | + | 0.127813i | 0.511579 | − | 0.859236i | \(-0.329061\pi\) |
−0.160414 | + | 0.987050i | \(0.551283\pi\) | |||||||
\(644\) | 8.78604 | − | 7.37236i | 0.346219 | − | 0.290512i | ||||
\(645\) | 12.3022 | 0.484400 | ||||||||
\(646\) | 3.49912 | + | 10.5907i | 0.137671 | + | 0.416686i | ||||
\(647\) | 16.8594 | 0.662810 | 0.331405 | − | 0.943489i | \(-0.392477\pi\) | ||||
0.331405 | + | 0.943489i | \(0.392477\pi\) | |||||||
\(648\) | 7.36620 | − | 6.18097i | 0.289372 | − | 0.242812i | ||||
\(649\) | 62.4116 | + | 22.7160i | 2.44987 | + | 0.891679i | ||||
\(650\) | −1.02053 | + | 5.78770i | −0.0400284 | + | 0.227012i | ||||
\(651\) | −0.595156 | − | 3.37530i | −0.0233260 | − | 0.132288i | ||||
\(652\) | −4.51272 | + | 1.64249i | −0.176732 | + | 0.0643250i | ||||
\(653\) | −5.39386 | + | 9.34245i | −0.211078 | + | 0.365598i | −0.952052 | − | 0.305936i | \(-0.901031\pi\) |
0.740974 | + | 0.671534i | \(0.234364\pi\) | |||||||
\(654\) | −8.54023 | − | 14.7921i | −0.333949 | − | 0.578417i | ||||
\(655\) | 0.0847217 | + | 0.0710900i | 0.00331035 | + | 0.00277772i | ||||
\(656\) | −4.20164 | − | 3.52559i | −0.164046 | − | 0.137651i | ||||
\(657\) | 0.696444 | + | 1.20628i | 0.0271709 | + | 0.0470613i | ||||
\(658\) | −6.47941 | + | 11.2227i | −0.252594 | + | 0.437505i | ||||
\(659\) | 18.6209 | − | 6.77745i | 0.725367 | − | 0.264012i | 0.0471644 | − | 0.998887i | \(-0.484982\pi\) |
0.678202 | + | 0.734875i | \(0.262759\pi\) | |||||||
\(660\) | 2.01322 | + | 11.4175i | 0.0783643 | + | 0.444426i | ||||
\(661\) | −4.06094 | + | 23.0307i | −0.157952 | + | 0.895792i | 0.798084 | + | 0.602546i | \(0.205847\pi\) |
−0.956037 | + | 0.293247i | \(0.905264\pi\) | |||||||
\(662\) | 16.0385 | + | 5.83754i | 0.623355 | + | 0.226883i | ||||
\(663\) | −20.6774 | + | 17.3504i | −0.803043 | + | 0.673833i | ||||
\(664\) | 13.4994 | 0.523878 | ||||||||
\(665\) | 5.87261 | − | 0.854974i | 0.227730 | − | 0.0331545i | ||||
\(666\) | 0.981938 | 0.0380493 | ||||||||
\(667\) | 28.7736 | − | 24.1439i | 1.11412 | − | 0.934857i | ||||
\(668\) | 3.63394 | + | 1.32265i | 0.140601 | + | 0.0511747i | ||||
\(669\) | −7.01750 | + | 39.7982i | −0.271312 | + | 1.53869i | ||||
\(670\) | 1.16685 | + | 6.61753i | 0.0450793 | + | 0.255658i | ||||
\(671\) | −39.2296 | + | 14.2784i | −1.51444 | + | 0.551212i | ||||
\(672\) | 1.22185 | − | 2.11631i | 0.0471341 | − | 0.0816386i | ||||
\(673\) | 10.9881 | + | 19.0320i | 0.423560 | + | 0.733628i | 0.996285 | − | 0.0861200i | \(-0.0274468\pi\) |
−0.572724 | + | 0.819748i | \(0.694113\pi\) | |||||||
\(674\) | −14.4450 | − | 12.1208i | −0.556399 | − | 0.466874i | ||||
\(675\) | −3.82013 | − | 3.20547i | −0.147037 | − | 0.123378i | ||||
\(676\) | −10.7695 | − | 18.6533i | −0.414210 | − | 0.717434i | ||||
\(677\) | 23.2278 | − | 40.2317i | 0.892716 | − | 1.54623i | 0.0561091 | − | 0.998425i | \(-0.482131\pi\) |
0.836607 | − | 0.547804i | \(-0.184536\pi\) | |||||||
\(678\) | −18.6880 | + | 6.80187i | −0.717707 | + | 0.261224i | ||||
\(679\) | −0.0291884 | − | 0.165536i | −0.00112015 | − | 0.00635268i | ||||
\(680\) | 0.444341 | − | 2.51998i | 0.0170397 | − | 0.0966369i | ||||
\(681\) | 31.7772 | + | 11.5660i | 1.21770 | + | 0.443208i | ||||
\(682\) | 6.93976 | − | 5.82315i | 0.265737 | − | 0.222980i | ||||
\(683\) | −13.4198 | −0.513496 | −0.256748 | − | 0.966478i | \(-0.582651\pi\) | ||||
−0.256748 | + | 0.966478i | \(0.582651\pi\) | |||||||
\(684\) | −0.357534 | + | 0.897681i | −0.0136706 | + | 0.0343237i | ||||
\(685\) | 13.6508 | 0.521569 | ||||||||
\(686\) | 12.6681 | − | 10.6298i | 0.483669 | − | 0.405846i | ||||
\(687\) | 7.62081 | + | 2.77375i | 0.290752 | + | 0.105825i | ||||
\(688\) | 1.19018 | − | 6.74986i | 0.0453753 | − | 0.257336i | ||||
\(689\) | 4.51650 | + | 25.6143i | 0.172065 | + | 0.975828i | ||||
\(690\) | 14.2088 | − | 5.17158i | 0.540920 | − | 0.196879i | ||||
\(691\) | 20.9252 | − | 36.2436i | 0.796033 | − | 1.37877i | −0.126148 | − | 0.992011i | \(-0.540261\pi\) |
0.922181 | − | 0.386759i | \(-0.126405\pi\) | |||||||
\(692\) | −5.76944 | − | 9.99296i | −0.219321 | − | 0.379875i | ||||
\(693\) | 1.49334 | + | 1.25306i | 0.0567275 | + | 0.0476000i | ||||
\(694\) | −4.14258 | − | 3.47604i | −0.157250 | − | 0.131949i | ||||
\(695\) | −1.20851 | − | 2.09320i | −0.0458414 | − | 0.0793997i | ||||
\(696\) | 4.00148 | − | 6.93077i | 0.151676 | − | 0.262710i | ||||
\(697\) | −13.1885 | + | 4.80023i | −0.499551 | + | 0.181822i | ||||
\(698\) | 6.30481 | + | 35.7564i | 0.238641 | + | 1.35340i | ||||
\(699\) | −3.35468 | + | 19.0253i | −0.126886 | + | 0.719605i | ||||
\(700\) | −1.27936 | − | 0.465651i | −0.0483555 | − | 0.0175999i | ||||
\(701\) | 20.5106 | − | 17.2104i | 0.774674 | − | 0.650028i | −0.167228 | − | 0.985918i | \(-0.553481\pi\) |
0.941901 | + | 0.335890i | \(0.109037\pi\) | |||||||
\(702\) | 29.3075 | 1.10614 | ||||||||
\(703\) | 17.0031 | − | 9.14886i | 0.641286 | − | 0.345056i | ||||
\(704\) | 6.45921 | 0.243441 | ||||||||
\(705\) | −13.0874 | + | 10.9816i | −0.492898 | + | 0.413591i | ||||
\(706\) | −1.15574 | − | 0.420656i | −0.0434970 | − | 0.0158316i | ||||
\(707\) | 3.22806 | − | 18.3073i | 0.121404 | − | 0.688515i | ||||
\(708\) | −3.20488 | − | 18.1757i | −0.120447 | − | 0.683086i | ||||
\(709\) | 17.7455 | − | 6.45882i | 0.666445 | − | 0.242566i | 0.0134283 | − | 0.999910i | \(-0.495726\pi\) |
0.653016 | + | 0.757344i | \(0.273503\pi\) | |||||||
\(710\) | 0.968795 | − | 1.67800i | 0.0363582 | − | 0.0629743i | ||||
\(711\) | 0.397914 | + | 0.689208i | 0.0149230 | + | 0.0258473i | ||||
\(712\) | 1.45242 | + | 1.21872i | 0.0544317 | + | 0.0456736i | ||||
\(713\) | −9.05099 | − | 7.59468i | −0.338962 | − | 0.284423i | ||||
\(714\) | −3.12655 | − | 5.41535i | −0.117008 | − | 0.202664i | ||||
\(715\) | −18.9803 | + | 32.8749i | −0.709824 | + | 1.22945i | ||||
\(716\) | −7.87426 | + | 2.86600i | −0.294275 | + | 0.107107i | ||||
\(717\) | 7.29398 | + | 41.3662i | 0.272399 | + | 1.54485i | ||||
\(718\) | 2.62718 | − | 14.8995i | 0.0980455 | − | 0.556044i | ||||
\(719\) | −30.3154 | − | 11.0339i | −1.13057 | − | 0.411496i | −0.292074 | − | 0.956396i | \(-0.594345\pi\) |
−0.838501 | + | 0.544900i | \(0.816568\pi\) | |||||||
\(720\) | 0.169813 | − | 0.142490i | 0.00632857 | − | 0.00531030i | ||||
\(721\) | −9.35914 | −0.348553 | ||||||||
\(722\) | 2.17281 | + | 18.8754i | 0.0808637 | + | 0.702468i | ||||
\(723\) | −37.5052 | −1.39483 | ||||||||
\(724\) | −8.13969 | + | 6.83001i | −0.302509 | + | 0.253835i | ||||
\(725\) | −4.18982 | − | 1.52497i | −0.155606 | − | 0.0566360i | ||||
\(726\) | −9.57529 | + | 54.3042i | −0.355372 | + | 2.01542i | ||||
\(727\) | −3.11002 | − | 17.6378i | −0.115344 | − | 0.654150i | −0.986579 | − | 0.163284i | \(-0.947791\pi\) |
0.871235 | − | 0.490866i | \(-0.163320\pi\) | |||||||
\(728\) | 7.51881 | − | 2.73662i | 0.278666 | − | 0.101426i | ||||
\(729\) | −12.3605 | + | 21.4090i | −0.457796 | + | 0.792926i | ||||
\(730\) | −3.14173 | − | 5.44163i | −0.116280 | − | 0.201404i | ||||
\(731\) | −13.4352 | − | 11.2735i | −0.496918 | − | 0.416964i | ||||
\(732\) | 8.88676 | + | 7.45688i | 0.328464 | + | 0.275614i | ||||
\(733\) | 23.9071 | + | 41.4082i | 0.883027 | + | 1.52945i | 0.847958 | + | 0.530063i | \(0.177832\pi\) |
0.0350693 | + | 0.999385i | \(0.488835\pi\) | |||||||
\(734\) | −1.05724 | + | 1.83120i | −0.0390235 | + | 0.0675907i | ||||
\(735\) | 8.68020 | − | 3.15933i | 0.320174 | − | 0.116534i | ||||
\(736\) | −1.46285 | − | 8.29626i | −0.0539215 | − | 0.305804i | ||||
\(737\) | −7.53693 | + | 42.7440i | −0.277626 | + | 1.57450i | ||||
\(738\) | −1.14253 | − | 0.415848i | −0.0420572 | − | 0.0153076i | ||||
\(739\) | −2.75913 | + | 2.31519i | −0.101496 | + | 0.0851656i | −0.692124 | − | 0.721779i | \(-0.743325\pi\) |
0.590627 | + | 0.806944i | \(0.298880\pi\) | |||||||
\(740\) | −4.42962 | −0.162836 | ||||||||
\(741\) | −40.4910 | + | 21.7870i | −1.48747 | + | 0.800364i | ||||
\(742\) | −6.02540 | −0.221199 | ||||||||
\(743\) | −2.38245 | + | 1.99911i | −0.0874036 | + | 0.0733403i | −0.685443 | − | 0.728127i | \(-0.740391\pi\) |
0.598039 | + | 0.801467i | \(0.295947\pi\) | |||||||
\(744\) | −2.36558 | − | 0.861001i | −0.0867264 | − | 0.0315658i | ||||
\(745\) | −0.385350 | + | 2.18543i | −0.0141181 | + | 0.0800678i | ||||
\(746\) | −0.874756 | − | 4.96099i | −0.0320271 | − | 0.181635i | ||||
\(747\) | 2.81202 | − | 1.02349i | 0.102886 | − | 0.0374476i | ||||
\(748\) | 8.26410 | − | 14.3138i | 0.302165 | − | 0.523366i | ||||
\(749\) | −6.01781 | − | 10.4231i | −0.219886 | − | 0.380854i | ||||
\(750\) | −1.37498 | − | 1.15374i | −0.0502070 | − | 0.0421287i | ||||
\(751\) | 15.5562 | + | 13.0532i | 0.567654 | + | 0.476318i | 0.880866 | − | 0.473365i | \(-0.156961\pi\) |
−0.313213 | + | 0.949683i | \(0.601405\pi\) | |||||||
\(752\) | 4.75912 | + | 8.24304i | 0.173547 | + | 0.300593i | ||||
\(753\) | 16.0689 | − | 27.8321i | 0.585582 | − | 1.01426i | ||||
\(754\) | 24.6235 | − | 8.96223i | 0.896736 | − | 0.326385i | ||||
\(755\) | −2.02770 | − | 11.4997i | −0.0737956 | − | 0.418516i | ||||
\(756\) | −1.17897 | + | 6.68627i | −0.0428787 | + | 0.243177i | ||||
\(757\) | 36.7396 | + | 13.3721i | 1.33532 | + | 0.486018i | 0.908337 | − | 0.418239i | \(-0.137353\pi\) |
0.426987 | + | 0.904258i | \(0.359575\pi\) | |||||||
\(758\) | −28.5591 | + | 23.9639i | −1.03731 | + | 0.870408i | ||||
\(759\) | 97.6677 | 3.54511 | ||||||||
\(760\) | 1.61287 | − | 4.04953i | 0.0585049 | − | 0.146892i | ||||
\(761\) | 4.22431 | 0.153131 | 0.0765656 | − | 0.997065i | \(-0.475605\pi\) | ||||
0.0765656 | + | 0.997065i | \(0.475605\pi\) | |||||||
\(762\) | −12.6392 | + | 10.6055i | −0.457868 | + | 0.384197i | ||||
\(763\) | 12.1746 | + | 4.43118i | 0.440748 | + | 0.160419i | ||||
\(764\) | 1.88432 | − | 10.6865i | 0.0681724 | − | 0.386625i | ||||
\(765\) | −0.0984995 | − | 0.558619i | −0.00356126 | − | 0.0201969i | ||||
\(766\) | 13.9869 | − | 5.09082i | 0.505368 | − | 0.183939i | ||||
\(767\) | 30.2151 | − | 52.3341i | 1.09101 | − | 1.88968i | ||||
\(768\) | −0.897451 | − | 1.55443i | −0.0323840 | − | 0.0560907i | ||||
\(769\) | 28.9268 | + | 24.2725i | 1.04313 | + | 0.875288i | 0.992354 | − | 0.123422i | \(-0.0393869\pi\) |
0.0507735 | + | 0.998710i | \(0.483831\pi\) | |||||||
\(770\) | −6.73662 | − | 5.65269i | −0.242771 | − | 0.203709i | ||||
\(771\) | 0.436958 | + | 0.756833i | 0.0157367 | + | 0.0272567i | ||||
\(772\) | −0.968131 | + | 1.67685i | −0.0348438 | + | 0.0603512i | ||||
\(773\) | −3.64243 | + | 1.32574i | −0.131009 | + | 0.0476834i | −0.406693 | − | 0.913565i | \(-0.633318\pi\) |
0.275684 | + | 0.961248i | \(0.411096\pi\) | |||||||
\(774\) | −0.263834 | − | 1.49628i | −0.00948333 | − | 0.0537827i | ||||
\(775\) | −0.243546 | + | 1.38122i | −0.00874844 | + | 0.0496149i | ||||
\(776\) | −0.116016 | − | 0.0422263i | −0.00416473 | − | 0.00151584i | ||||
\(777\) | −8.29220 | + | 6.95798i | −0.297481 | + | 0.249616i | ||||
\(778\) | −30.8414 | −1.10572 | ||||||||
\(779\) | −23.6585 | + | 3.44436i | −0.847653 | + | 0.123407i | ||||
\(780\) | 10.5486 | 0.377701 | ||||||||
\(781\) | 9.58727 | − | 8.04468i | 0.343060 | − | 0.287861i | ||||
\(782\) | −20.2564 | − | 7.37273i | −0.724368 | − | 0.263648i | ||||
\(783\) | −3.86104 | + | 21.8970i | −0.137982 | + | 0.782536i | ||||
\(784\) | −0.893662 | − | 5.06821i | −0.0319165 | − | 0.181007i | ||||
\(785\) | 3.91221 | − | 1.42393i | 0.139633 | − | 0.0508222i | ||||
\(786\) | 0.0992549 | − | 0.171914i | 0.00354030 | − | 0.00613199i | ||||
\(787\) | −3.41520 | − | 5.91530i | −0.121739 | − | 0.210858i | 0.798715 | − | 0.601710i | \(-0.205514\pi\) |
−0.920453 | + | 0.390852i | \(0.872180\pi\) | |||||||
\(788\) | 9.38706 | + | 7.87668i | 0.334400 | + | 0.280595i | ||||
\(789\) | −30.3436 | − | 25.4613i | −1.08026 | − | 0.906445i | ||||
\(790\) | −1.79503 | − | 3.10908i | −0.0638643 | − | 0.110616i | ||||
\(791\) | 7.54248 | − | 13.0640i | 0.268180 | − | 0.464501i | ||||
\(792\) | 1.34550 | − | 0.489721i | 0.0478102 | − | 0.0174015i | ||||
\(793\) | 6.59589 | + | 37.4072i | 0.234227 | + | 1.32837i | ||||
\(794\) | 3.84704 | − | 21.8176i | 0.136526 | − | 0.774279i | ||||
\(795\) | −7.46455 | − | 2.71687i | −0.264740 | − | 0.0963576i | ||||
\(796\) | −0.331678 | + | 0.278311i | −0.0117560 | + | 0.00986448i | ||||
\(797\) | −26.0356 | −0.922229 | −0.461114 | − | 0.887341i | \(-0.652550\pi\) | ||||
−0.461114 | + | 0.887341i | \(0.652550\pi\) | |||||||
\(798\) | −3.34167 | − | 10.1141i | −0.118294 | − | 0.358037i | ||||
\(799\) | 24.3558 | 0.861647 | ||||||||
\(800\) | −0.766044 | + | 0.642788i | −0.0270838 | + | 0.0227260i | ||||
\(801\) | 0.394949 | + | 0.143750i | 0.0139548 | + | 0.00507915i | ||||
\(802\) | −5.39528 | + | 30.5981i | −0.190514 | + | 1.08046i | ||||
\(803\) | −7.04771 | − | 39.9695i | −0.248708 | − | 1.41049i | ||||
\(804\) | 11.3337 | − | 4.12513i | 0.399709 | − | 0.145482i | ||||
\(805\) | −5.73468 | + | 9.93276i | −0.202121 | + | 0.350084i | ||||
\(806\) | −4.12131 | − | 7.13833i | −0.145167 | − | 0.251437i | ||||
\(807\) | 24.4048 | + | 20.4781i | 0.859089 | + | 0.720862i | ||||
\(808\) | −10.4596 | − | 8.77669i | −0.367969 | − | 0.308763i | ||||
\(809\) | −1.43475 | − | 2.48505i | −0.0504430 | − | 0.0873698i | 0.839701 | − | 0.543048i | \(-0.182730\pi\) |
−0.890144 | + | 0.455679i | \(0.849397\pi\) | |||||||
\(810\) | −4.80794 | + | 8.32760i | −0.168934 | + | 0.292602i | ||||
\(811\) | −14.8021 | + | 5.38752i | −0.519772 | + | 0.189181i | −0.588566 | − | 0.808449i | \(-0.700307\pi\) |
0.0687939 | + | 0.997631i | \(0.478085\pi\) | |||||||
\(812\) | 1.05412 | + | 5.97820i | 0.0369923 | + | 0.209794i | ||||
\(813\) | 3.40416 | − | 19.3060i | 0.119389 | − | 0.677089i | ||||
\(814\) | −26.8863 | − | 9.78582i | −0.942365 | − | 0.342993i | ||||
\(815\) | 3.67880 | − | 3.08688i | 0.128863 | − | 0.108129i | ||||
\(816\) | −4.59290 | −0.160784 | ||||||||
\(817\) | −18.5096 | − | 23.4512i | −0.647569 | − | 0.820455i | ||||
\(818\) | −2.03692 | −0.0712193 | ||||||||
\(819\) | 1.35874 | − | 1.14011i | 0.0474781 | − | 0.0398388i | ||||
\(820\) | 5.15407 | + | 1.87593i | 0.179988 | + | 0.0655103i | ||||
\(821\) | −2.78936 | + | 15.8192i | −0.0973493 | + | 0.552095i | 0.896653 | + | 0.442734i | \(0.145992\pi\) |
−0.994002 | + | 0.109361i | \(0.965120\pi\) | |||||||
\(822\) | −4.25469 | − | 24.1296i | −0.148399 | − | 0.841615i | ||||
\(823\) | 38.3389 | − | 13.9542i | 1.33641 | − | 0.486413i | 0.427729 | − | 0.903907i | \(-0.359314\pi\) |
0.908680 | + | 0.417494i | \(0.137092\pi\) | |||||||
\(824\) | −3.43714 | + | 5.95330i | −0.119738 | + | 0.207393i | ||||
\(825\) | −5.79683 | − | 10.0404i | −0.201820 | − | 0.349562i | ||||
\(826\) | 10.7241 | + | 8.99862i | 0.373141 | + | 0.313102i | ||||
\(827\) | −18.6581 | − | 15.6560i | −0.648806 | − | 0.544413i | 0.257903 | − | 0.966171i | \(-0.416969\pi\) |
−0.906708 | + | 0.421758i | \(0.861413\pi\) | |||||||
\(828\) | −0.933724 | − | 1.61726i | −0.0324492 | − | 0.0562036i | ||||
\(829\) | −7.31291 | + | 12.6663i | −0.253988 | + | 0.439920i | −0.964620 | − | 0.263644i | \(-0.915076\pi\) |
0.710632 | + | 0.703564i | \(0.248409\pi\) | |||||||
\(830\) | −12.6853 | + | 4.61707i | −0.440313 | + | 0.160261i | ||||
\(831\) | 2.82373 | + | 16.0142i | 0.0979541 | + | 0.555525i | ||||
\(832\) | 1.02053 | − | 5.78770i | 0.0353804 | − | 0.200652i | ||||
\(833\) | −12.3747 | − | 4.50402i | −0.428758 | − | 0.156055i | ||||
\(834\) | −3.32334 | + | 2.78862i | −0.115078 | + | 0.0965619i | ||||
\(835\) | −3.86716 | −0.133828 | ||||||||
\(836\) | 18.7357 | − | 21.0162i | 0.647988 | − | 0.726860i | ||||
\(837\) | 6.99415 | 0.241753 | ||||||||
\(838\) | 8.59776 | − | 7.21438i | 0.297005 | − | 0.249217i | ||||
\(839\) | −49.0332 | − | 17.8466i | −1.69282 | − | 0.616134i | −0.697840 | − | 0.716254i | \(-0.745855\pi\) |
−0.994975 | + | 0.100119i | \(0.968078\pi\) | |||||||
\(840\) | −0.424346 | + | 2.40658i | −0.0146413 | + | 0.0830350i | ||||
\(841\) | −1.58364 | − | 8.98128i | −0.0546083 | − | 0.309699i | ||||
\(842\) | −9.19144 | + | 3.34541i | −0.316758 | + | 0.115291i | ||||
\(843\) | −13.7313 | + | 23.7834i | −0.472932 | + | 0.819142i | ||||
\(844\) | 6.87251 | + | 11.9035i | 0.236562 | + | 0.409737i | ||||
\(845\) | 16.4998 | + | 13.8450i | 0.567610 | + | 0.476281i | ||||
\(846\) | 1.61633 | + | 1.35626i | 0.0555704 | + | 0.0466291i | ||||
\(847\) | −20.9132 | − | 36.2226i | −0.718584 | − | 1.24462i | ||||
\(848\) | −2.21282 | + | 3.83272i | −0.0759887 | + | 0.131616i | ||||
\(849\) | 16.6140 | − | 6.04701i | 0.570192 | − | 0.207533i | ||||
\(850\) | 0.444341 | + | 2.51998i | 0.0152408 | + | 0.0864347i | ||||
\(851\) | −6.47988 | + | 36.7492i | −0.222127 | + | 1.25975i | ||||
\(852\) | −3.26805 | − | 1.18947i | −0.111962 | − | 0.0407507i | ||||
\(853\) | −8.57401 | + | 7.19445i | −0.293569 | + | 0.246333i | −0.777661 | − | 0.628683i | \(-0.783594\pi\) |
0.484093 | + | 0.875017i | \(0.339150\pi\) | |||||||
\(854\) | −8.79949 | −0.301112 | ||||||||
\(855\) | 0.0289466 | − | 0.965828i | 0.000989953 | − | 0.0330306i | ||||
\(856\) | −8.84015 | −0.302150 | ||||||||
\(857\) | 25.3642 | − | 21.2831i | 0.866424 | − | 0.727016i | −0.0969180 | − | 0.995292i | \(-0.530898\pi\) |
0.963342 | + | 0.268276i | \(0.0864540\pi\) | |||||||
\(858\) | 64.0266 | + | 23.3038i | 2.18583 | + | 0.795578i | ||||
\(859\) | 1.64149 | − | 9.30936i | 0.0560070 | − | 0.317631i | −0.943914 | − | 0.330191i | \(-0.892887\pi\) |
0.999921 | + | 0.0125596i | \(0.00399795\pi\) | |||||||
\(860\) | 1.19018 | + | 6.74986i | 0.0405849 | + | 0.230168i | ||||
\(861\) | 12.5951 | − | 4.58422i | 0.429238 | − | 0.156230i | ||||
\(862\) | −2.43721 | + | 4.22137i | −0.0830117 | + | 0.143780i | ||||
\(863\) | −27.5359 | − | 47.6935i | −0.937332 | − | 1.62351i | −0.770422 | − | 0.637535i | \(-0.779954\pi\) |
−0.166910 | − | 0.985972i | \(-0.553379\pi\) | |||||||
\(864\) | 3.82013 | + | 3.20547i | 0.129963 | + | 0.109052i | ||||
\(865\) | 8.83929 | + | 7.41704i | 0.300545 | + | 0.252187i | ||||
\(866\) | −9.95802 | − | 17.2478i | −0.338387 | − | 0.586104i | ||||
\(867\) | 9.38039 | − | 16.2473i | 0.318575 | − | 0.551787i | ||||
\(868\) | 1.79434 | − | 0.653088i | 0.0609040 | − | 0.0221672i | ||||
\(869\) | −4.02672 | − | 22.8367i | −0.136597 | − | 0.774680i | ||||
\(870\) | −1.38970 | + | 7.88138i | −0.0471153 | + | 0.267204i | ||||
\(871\) | 37.1095 | + | 13.5068i | 1.25741 | + | 0.457659i | ||||
\(872\) | 7.28975 | − | 6.11683i | 0.246862 | − | 0.207142i | ||||
\(873\) | −0.0273684 | −0.000926281 | ||||||||
\(874\) | −31.2365 | − | 19.3046i | −1.05659 | − | 0.652989i | ||||
\(875\) | 1.36147 | 0.0460261 | ||||||||
\(876\) | −8.63959 | + | 7.24948i | −0.291905 | + | 0.244937i | ||||
\(877\) | 16.6833 | + | 6.07221i | 0.563354 | + | 0.205044i | 0.607970 | − | 0.793960i | \(-0.291984\pi\) |
−0.0446161 | + | 0.999004i | \(0.514206\pi\) | |||||||
\(878\) | 3.70055 | − | 20.9869i | 0.124888 | − | 0.708273i | ||||
\(879\) | 2.54916 | + | 14.4570i | 0.0859810 | + | 0.487622i | ||||
\(880\) | −6.06967 | + | 2.20918i | −0.204609 | + | 0.0744714i | ||||
\(881\) | −9.17773 | + | 15.8963i | −0.309206 | + | 0.535560i | −0.978189 | − | 0.207718i | \(-0.933396\pi\) |
0.668983 | + | 0.743278i | \(0.266730\pi\) | |||||||
\(882\) | −0.570415 | − | 0.987988i | −0.0192069 | − | 0.0332673i | ||||
\(883\) | 18.0924 | + | 15.1814i | 0.608859 | + | 0.510893i | 0.894279 | − | 0.447509i | \(-0.147689\pi\) |
−0.285421 | + | 0.958402i | \(0.592133\pi\) | |||||||
\(884\) | −11.5201 | − | 9.66647i | −0.387461 | − | 0.325119i | ||||
\(885\) | 9.22807 | + | 15.9835i | 0.310198 | + | 0.537279i | ||||
\(886\) | −3.09253 | + | 5.35641i | −0.103895 | + | 0.179952i | ||||
\(887\) | −3.42345 | + | 1.24604i | −0.114948 | + | 0.0418378i | −0.398854 | − | 0.917014i | \(-0.630592\pi\) |
0.283906 | + | 0.958852i | \(0.408370\pi\) | |||||||
\(888\) | 1.38063 | + | 7.82994i | 0.0463309 | + | 0.262756i | ||||
\(889\) | 2.17321 | − | 12.3249i | 0.0728872 | − | 0.413364i | ||||
\(890\) | −1.78165 | − | 0.648469i | −0.0597212 | − | 0.0217367i | ||||
\(891\) | −47.5798 | + | 39.9242i | −1.59398 | + | 1.33751i | ||||
\(892\) | −22.5150 | −0.753856 | ||||||||
\(893\) | 40.6246 | + | 8.42529i | 1.35945 | + | 0.281942i | ||||
\(894\) | 3.98314 | 0.133216 | ||||||||
\(895\) | 6.41916 | − | 5.38631i | 0.214569 | − | 0.180045i | ||||
\(896\) | 1.27936 | + | 0.465651i | 0.0427406 | + | 0.0155563i | ||||
\(897\) | 15.4311 | − | 87.5140i | 0.515229 | − | 2.92201i | ||||
\(898\) | −7.07398 | − | 40.1186i | −0.236062 | − | 1.33877i | ||||
\(899\) | 5.87634 | − | 2.13881i | 0.195987 | − | 0.0713334i | ||||
\(900\) | −0.110838 | + | 0.191977i | −0.00369459 | + | 0.00639922i | ||||
\(901\) | 5.66230 | + | 9.80740i | 0.188639 | + | 0.326732i | ||||
\(902\) | 27.1393 | + | 22.7725i | 0.903638 | + | 0.758243i | ||||
\(903\) | 12.8306 | + | 10.7662i | 0.426976 | + | 0.358275i | ||||
\(904\) | −5.53995 | − | 9.59547i | −0.184256 | − | 0.319141i | ||||
\(905\) | 5.31280 | − | 9.20205i | 0.176604 | − | 0.305886i | ||||
\(906\) | −19.6952 | + | 7.16847i | −0.654330 | + | 0.238156i | ||||
\(907\) | −0.179915 | − | 1.02035i | −0.00597397 | − | 0.0338801i | 0.981675 | − | 0.190563i | \(-0.0610312\pi\) |
−0.987649 | + | 0.156682i | \(0.949920\pi\) | |||||||
\(908\) | −3.27159 | + | 18.5541i | −0.108572 | + | 0.615740i | ||||
\(909\) | −2.84424 | − | 1.03522i | −0.0943376 | − | 0.0343361i | ||||
\(910\) | −6.12939 | + | 5.14317i | −0.203187 | + | 0.170494i | ||||
\(911\) | −20.4703 | −0.678210 | −0.339105 | − | 0.940749i | \(-0.610124\pi\) | ||||
−0.339105 | + | 0.940749i | \(0.610124\pi\) | |||||||
\(912\) | −7.66078 | − | 1.58880i | −0.253674 | − | 0.0526104i | ||||
\(913\) | −87.1955 | −2.88575 | ||||||||
\(914\) | −11.2664 | + | 9.45366i | −0.372660 | + | 0.312699i | ||||
\(915\) | −10.9012 | − | 3.96772i | −0.360384 | − | 0.131169i | ||||
\(916\) | −0.784593 | + | 4.44965i | −0.0259237 | + | 0.147021i | ||||
\(917\) | 0.0261469 | + | 0.148286i | 0.000863446 | + | 0.00489684i | ||||
\(918\) | 11.9910 | − | 4.36437i | 0.395762 | − | 0.144046i | ||||
\(919\) | 21.9810 | − | 38.0723i | 0.725088 | − | 1.25589i | −0.233850 | − | 0.972273i | \(-0.575132\pi\) |
0.958938 | − | 0.283616i | \(-0.0915342\pi\) | |||||||
\(920\) | 4.21212 | + | 7.29560i | 0.138869 | + | 0.240529i | ||||
\(921\) | −8.31364 | − | 6.97597i | −0.273944 | − | 0.229866i | ||||
\(922\) | 10.7264 | + | 9.00052i | 0.353255 | + | 0.296416i | ||||
\(923\) | −5.69359 | − | 9.86159i | −0.187407 | − | 0.324598i | ||||
\(924\) | −7.89222 | + | 13.6697i | −0.259635 | + | 0.449701i | ||||
\(925\) | 4.16248 | − | 1.51502i | 0.136861 | − | 0.0498135i | ||||
\(926\) | −0.394865 | − | 2.23939i | −0.0129761 | − | 0.0735910i | ||||
\(927\) | −0.264616 | + | 1.50071i | −0.00869112 | + | 0.0492898i | ||||
\(928\) | 4.18982 | + | 1.52497i | 0.137538 | + | 0.0500596i | ||||
\(929\) | 5.62577 | − | 4.72058i | 0.184576 | − | 0.154877i | −0.545818 | − | 0.837904i | \(-0.683781\pi\) |
0.730394 | + | 0.683026i | \(0.239337\pi\) | |||||||
\(930\) | 2.51740 | 0.0825488 | ||||||||
\(931\) | −19.0825 | − | 11.7933i | −0.625403 | − | 0.386508i | ||||
\(932\) | −10.7632 | −0.352559 | ||||||||
\(933\) | 45.5343 | − | 38.2078i | 1.49073 | − | 1.25087i | ||||
\(934\) | −27.6884 | − | 10.0778i | −0.905994 | − | 0.329755i | ||||
\(935\) | −2.87009 | + | 16.2771i | −0.0938620 | + | 0.532318i | ||||
\(936\) | −0.226226 | − | 1.28299i | −0.00739443 | − | 0.0419359i | ||||
\(937\) | −0.437322 | + | 0.159172i | −0.0142867 | + | 0.00519993i | −0.349154 | − | 0.937066i | \(-0.613531\pi\) |
0.334867 | + | 0.942265i | \(0.391309\pi\) | |||||||
\(938\) | −4.57429 | + | 7.92290i | −0.149356 | + | 0.258692i | ||||
\(939\) | 5.53906 | + | 9.59394i | 0.180761 | + | 0.313086i | ||||
\(940\) | −7.29140 | − | 6.11821i | −0.237819 | − | 0.199554i | ||||
\(941\) | 31.9901 | + | 26.8429i | 1.04285 | + | 0.875054i | 0.992324 | − | 0.123669i | \(-0.0394661\pi\) |
0.0505251 | + | 0.998723i | \(0.483911\pi\) | |||||||
\(942\) | −3.73635 | − | 6.47155i | −0.121737 | − | 0.210854i | ||||
\(943\) | 23.1028 | − | 40.0153i | 0.752332 | − | 1.30308i | ||||
\(944\) | 9.66242 | − | 3.51683i | 0.314485 | − | 0.114463i | ||||
\(945\) | −1.17897 | − | 6.68627i | −0.0383519 | − | 0.217504i | ||||
\(946\) | −7.68764 | + | 43.5988i | −0.249947 | + | 1.41752i | ||||
\(947\) | 33.0668 | + | 12.0353i | 1.07453 | + | 0.391096i | 0.817868 | − | 0.575406i | \(-0.195156\pi\) |
0.256659 | + | 0.966502i | \(0.417378\pi\) | |||||||
\(948\) | −4.93624 | + | 4.14200i | −0.160322 | + | 0.134526i | ||||
\(949\) | −36.9277 | −1.19873 | ||||||||
\(950\) | −0.130581 | + | 4.35694i | −0.00423660 | + | 0.141358i | ||||
\(951\) | −29.4481 | −0.954919 | ||||||||
\(952\) | 2.66875 | − | 2.23935i | 0.0864948 | − | 0.0725778i | ||||
\(953\) | −8.92435 | − | 3.24820i | −0.289088 | − | 0.105219i | 0.193406 | − | 0.981119i | \(-0.438047\pi\) |
−0.482494 | + | 0.875899i | \(0.660269\pi\) | |||||||
\(954\) | −0.170359 | + | 0.966154i | −0.00551558 | + | 0.0312804i | ||||
\(955\) | 1.88432 | + | 10.6865i | 0.0609753 | + | 0.345808i | ||||
\(956\) | −21.9907 | + | 8.00397i | −0.711231 | + | 0.258867i | ||||
\(957\) | −25.8464 | + | 44.7673i | −0.835496 | + | 1.44712i | ||||
\(958\) | 10.2272 | + | 17.7140i | 0.330426 | + | 0.572314i | ||||
\(959\) | 14.2370 | + | 11.9463i | 0.459738 | + | 0.385766i | ||||
\(960\) | 1.37498 | + | 1.15374i | 0.0443771 | + | 0.0372368i | ||||
\(961\) | 14.5165 | + | 25.1432i | 0.468273 | + | 0.811072i | ||||
\(962\) | −13.0164 | + | 22.5451i | −0.419665 | + | 0.726882i | ||||
\(963\) | −1.84146 | + | 0.670238i | −0.0593404 | + | 0.0215981i | ||||
\(964\) | −3.62845 | − | 20.5780i | −0.116864 | − | 0.662771i | ||||
\(965\) | 0.336228 | − | 1.90685i | 0.0108236 | − | 0.0613835i | ||||
\(966\) | 19.3449 | + | 7.04096i | 0.622411 | + | 0.226539i | ||||
\(967\) | −16.5011 | + | 13.8461i | −0.530641 | + | 0.445260i | −0.868323 | − | 0.496000i | \(-0.834802\pi\) |
0.337682 | + | 0.941260i | \(0.390357\pi\) | |||||||
\(968\) | −30.7214 | −0.987423 | ||||||||
\(969\) | −13.3223 | + | 14.9438i | −0.427972 | + | 0.480064i | ||||
\(970\) | 0.123462 | 0.00396411 | ||||||||
\(971\) | −16.6642 | + | 13.9829i | −0.534779 | + | 0.448733i | −0.869748 | − | 0.493496i | \(-0.835719\pi\) |
0.334969 | + | 0.942229i | \(0.391274\pi\) | |||||||
\(972\) | 2.16046 | + | 0.786344i | 0.0692968 | + | 0.0252220i | ||||
\(973\) | 0.571425 | − | 3.24071i | 0.0183190 | − | 0.103892i | ||||
\(974\) | −5.05654 | − | 28.6771i | −0.162022 | − | 0.918873i | ||||
\(975\) | −9.91246 | + | 3.60784i | −0.317453 | + | 0.115543i | ||||
\(976\) | −3.23161 | + | 5.59731i | −0.103441 | + | 0.179166i | ||||
\(977\) | −21.1566 | − | 36.6442i | −0.676859 | − | 1.17235i | −0.975922 | − | 0.218120i | \(-0.930008\pi\) |
0.299063 | − | 0.954233i | \(-0.403326\pi\) | |||||||
\(978\) | −6.60309 | − | 5.54065i | −0.211143 | − | 0.177170i | ||||
\(979\) | −9.38147 | − | 7.87199i | −0.299833 | − | 0.251590i | ||||
\(980\) | 2.57320 | + | 4.45691i | 0.0821978 | + | 0.142371i | ||||
\(981\) | 1.05474 | − | 1.82687i | 0.0336753 | − | 0.0583274i | ||||
\(982\) | 15.6448 | − | 5.69426i | 0.499247 | − | 0.181711i | ||||
\(983\) | −2.16108 | − | 12.2561i | −0.0689276 | − | 0.390908i | −0.999681 | − | 0.0252602i | \(-0.991959\pi\) |
0.930753 | − | 0.365648i | \(-0.119153\pi\) | |||||||
\(984\) | 1.70953 | − | 9.69520i | 0.0544977 | − | 0.309072i | ||||
\(985\) | −11.5149 | − | 4.19109i | −0.366896 | − | 0.133539i | ||||
\(986\) | 8.73997 | − | 7.33371i | 0.278337 | − | 0.233553i | ||||
\(987\) | −23.2598 | −0.740369 | ||||||||
\(988\) | −15.8711 | − | 20.1084i | −0.504928 | − | 0.639733i | ||||
\(989\) | 57.7396 | 1.83601 | ||||||||
\(990\) | −1.09686 | + | 0.920375i | −0.0348605 | + | 0.0292514i | ||||
\(991\) | 11.7729 | + | 4.28498i | 0.373978 | + | 0.136117i | 0.522169 | − | 0.852842i | \(-0.325123\pi\) |
−0.148191 | + | 0.988959i | \(0.547345\pi\) | |||||||
\(992\) | 0.243546 | − | 1.38122i | 0.00773260 | − | 0.0438538i | ||||
\(993\) | 5.31973 | + | 30.1697i | 0.168817 | + | 0.957406i | ||||
\(994\) | 2.47888 | − | 0.902240i | 0.0786254 | − | 0.0286173i | ||||
\(995\) | 0.216488 | − | 0.374968i | 0.00686312 | − | 0.0118873i | ||||
\(996\) | 12.1151 | + | 20.9839i | 0.383880 | + | 0.664900i | ||||
\(997\) | −16.9956 | − | 14.2610i | −0.538257 | − | 0.451651i | 0.332684 | − | 0.943038i | \(-0.392046\pi\) |
−0.870941 | + | 0.491387i | \(0.836490\pi\) | |||||||
\(998\) | −22.4546 | − | 18.8417i | −0.710788 | − | 0.596422i | ||||
\(999\) | −11.0449 | − | 19.1303i | −0.349444 | − | 0.605254i |
(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 | 190.2.k.d.101.1 | ✓ | 18 | |
5.2 | odd | 4 | 950.2.u.g.899.1 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.899.6 | 36 | |||
5.4 | even | 2 | 950.2.l.i.101.3 | 18 | |||
19.4 | even | 9 | 3610.2.a.bi.1.7 | 9 | |||
19.15 | odd | 18 | 3610.2.a.bj.1.3 | 9 | |||
19.16 | even | 9 | inner | 190.2.k.d.111.1 | yes | 18 | |
95.54 | even | 18 | 950.2.l.i.301.3 | 18 | |||
95.73 | odd | 36 | 950.2.u.g.149.1 | 36 | |||
95.92 | odd | 36 | 950.2.u.g.149.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.101.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
190.2.k.d.111.1 | yes | 18 | 19.16 | even | 9 | inner | |
950.2.l.i.101.3 | 18 | 5.4 | even | 2 | |||
950.2.l.i.301.3 | 18 | 95.54 | even | 18 | |||
950.2.u.g.149.1 | 36 | 95.73 | odd | 36 | |||
950.2.u.g.149.6 | 36 | 95.92 | odd | 36 | |||
950.2.u.g.899.1 | 36 | 5.2 | odd | 4 | |||
950.2.u.g.899.6 | 36 | 5.3 | odd | 4 | |||
3610.2.a.bi.1.7 | 9 | 19.4 | even | 9 | |||
3610.2.a.bj.1.3 | 9 | 19.15 | odd | 18 |