Properties

Label 189.2.bd.a.185.7
Level $189$
Weight $2$
Character 189.185
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(47,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([7, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 185.7
Character \(\chi\) \(=\) 189.185
Dual form 189.2.bd.a.47.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.38665 + 0.244504i) q^{2} +(-0.458387 - 1.67029i) q^{3} +(-0.0163608 + 0.00595485i) q^{4} +(1.98299 - 0.721749i) q^{5} +(1.04402 + 2.20404i) q^{6} +(-2.18605 - 1.49037i) q^{7} +(2.46004 - 1.42030i) q^{8} +(-2.57976 + 1.53128i) q^{9} +(-2.57325 + 1.48566i) q^{10} +(-1.26664 + 3.48007i) q^{11} +(0.0174459 + 0.0245978i) q^{12} +(-2.27684 - 6.25557i) q^{13} +(3.39569 + 1.53213i) q^{14} +(-2.11451 - 2.98133i) q^{15} +(-3.03727 + 2.54857i) q^{16} +(-1.61887 - 2.80397i) q^{17} +(3.20283 - 2.75412i) q^{18} +(-4.61385 - 2.66381i) q^{19} +(-0.0281454 + 0.0236168i) q^{20} +(-1.48730 + 4.33451i) q^{21} +(0.905502 - 5.13536i) q^{22} +(0.689782 + 0.121627i) q^{23} +(-3.49997 - 3.45793i) q^{24} +(-0.418902 + 0.351501i) q^{25} +(4.68670 + 8.11761i) q^{26} +(3.74022 + 3.60704i) q^{27} +(0.0446405 + 0.0113661i) q^{28} +(1.50083 - 4.12351i) q^{29} +(3.66104 + 3.61707i) q^{30} +(-0.513951 - 1.41207i) q^{31} +(-0.0633067 + 0.0754460i) q^{32} +(6.39336 + 0.520445i) q^{33} +(2.93040 + 3.49232i) q^{34} +(-5.41058 - 1.37761i) q^{35} +(0.0330885 - 0.0404152i) q^{36} +6.49662 q^{37} +(7.04913 + 2.56567i) q^{38} +(-9.40496 + 6.67047i) q^{39} +(3.85312 - 4.59197i) q^{40} +(10.4849 - 3.81619i) q^{41} +(1.00256 - 6.37411i) q^{42} +(1.29121 + 7.32280i) q^{43} -0.0644796i q^{44} +(-4.01044 + 4.89845i) q^{45} -0.986227 q^{46} +(-5.63412 - 2.05065i) q^{47} +(5.64911 + 3.90490i) q^{48} +(2.55760 + 6.51603i) q^{49} +(0.494929 - 0.589833i) q^{50} +(-3.94139 + 3.98930i) q^{51} +(0.0745020 + 0.0887880i) q^{52} +(0.766350 + 0.442452i) q^{53} +(-6.06833 - 4.08721i) q^{54} +7.81514i q^{55} +(-7.49453 - 0.561517i) q^{56} +(-2.33441 + 8.92755i) q^{57} +(-1.07292 + 6.08484i) q^{58} +(4.77604 + 4.00757i) q^{59} +(0.0523485 + 0.0361855i) q^{60} +(2.54368 - 6.98869i) q^{61} +(1.05793 + 1.83239i) q^{62} +(7.92166 + 0.497345i) q^{63} +(4.03421 - 6.98746i) q^{64} +(-9.02990 - 10.7614i) q^{65} +(-8.99262 + 0.841528i) q^{66} +(1.82662 - 10.3593i) q^{67} +(0.0431834 + 0.0362352i) q^{68} +(-0.113034 - 1.20789i) q^{69} +(7.83942 + 0.587358i) q^{70} +(-3.83248 - 2.21268i) q^{71} +(-4.17142 + 7.43105i) q^{72} -3.06138i q^{73} +(-9.00855 + 1.58845i) q^{74} +(0.779129 + 0.538566i) q^{75} +(0.0913491 + 0.0161073i) q^{76} +(7.95554 - 5.71984i) q^{77} +(11.4105 - 11.5492i) q^{78} +(-1.65307 - 9.37505i) q^{79} +(-4.18344 + 7.24593i) q^{80} +(4.31035 - 7.90069i) q^{81} +(-13.6058 + 7.85533i) q^{82} +(11.4377 + 4.16299i) q^{83} +(-0.00147789 - 0.0797727i) q^{84} +(-5.23397 - 4.39182i) q^{85} +(-3.58091 - 9.83847i) q^{86} +(-7.57543 - 0.616671i) q^{87} +(1.82677 + 10.3601i) q^{88} +(-2.17916 + 3.77442i) q^{89} +(4.36339 - 7.77303i) q^{90} +(-4.34583 + 17.0683i) q^{91} +(-0.0120097 + 0.00211763i) q^{92} +(-2.12298 + 1.50572i) q^{93} +(8.31397 + 1.46598i) q^{94} +(-11.0718 - 1.95226i) q^{95} +(0.155036 + 0.0711573i) q^{96} +(-6.85869 + 1.20937i) q^{97} +(-5.13970 - 8.41014i) q^{98} +(-2.06134 - 10.9174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 18 q^{6} - 6 q^{7} - 18 q^{8} - 15 q^{9} - 9 q^{10} + 9 q^{11} - 9 q^{12} - 42 q^{14} - 24 q^{15} - 15 q^{16} - 9 q^{17} - 3 q^{18} - 9 q^{19} - 18 q^{20}+ \cdots + 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38665 + 0.244504i −0.980512 + 0.172891i −0.640858 0.767660i \(-0.721421\pi\)
−0.339654 + 0.940550i \(0.610310\pi\)
\(3\) −0.458387 1.67029i −0.264650 0.964345i
\(4\) −0.0163608 + 0.00595485i −0.00818041 + 0.00297743i
\(5\) 1.98299 0.721749i 0.886819 0.322776i 0.141861 0.989887i \(-0.454691\pi\)
0.744958 + 0.667111i \(0.232469\pi\)
\(6\) 1.04402 + 2.20404i 0.426219 + 0.899796i
\(7\) −2.18605 1.49037i −0.826248 0.563307i
\(8\) 2.46004 1.42030i 0.869754 0.502153i
\(9\) −2.57976 + 1.53128i −0.859921 + 0.510428i
\(10\) −2.57325 + 1.48566i −0.813732 + 0.469808i
\(11\) −1.26664 + 3.48007i −0.381907 + 1.04928i 0.588645 + 0.808392i \(0.299662\pi\)
−0.970552 + 0.240890i \(0.922561\pi\)
\(12\) 0.0174459 + 0.0245978i 0.00503621 + 0.00710076i
\(13\) −2.27684 6.25557i −0.631482 1.73498i −0.676963 0.736017i \(-0.736704\pi\)
0.0454806 0.998965i \(-0.485518\pi\)
\(14\) 3.39569 + 1.53213i 0.907536 + 0.409478i
\(15\) −2.11451 2.98133i −0.545964 0.769777i
\(16\) −3.03727 + 2.54857i −0.759318 + 0.637143i
\(17\) −1.61887 2.80397i −0.392635 0.680063i 0.600161 0.799879i \(-0.295103\pi\)
−0.992796 + 0.119816i \(0.961770\pi\)
\(18\) 3.20283 2.75412i 0.754914 0.649153i
\(19\) −4.61385 2.66381i −1.05849 0.611120i −0.133476 0.991052i \(-0.542614\pi\)
−0.925014 + 0.379932i \(0.875947\pi\)
\(20\) −0.0281454 + 0.0236168i −0.00629351 + 0.00528088i
\(21\) −1.48730 + 4.33451i −0.324555 + 0.945867i
\(22\) 0.905502 5.13536i 0.193054 1.09486i
\(23\) 0.689782 + 0.121627i 0.143829 + 0.0253610i 0.245099 0.969498i \(-0.421179\pi\)
−0.101270 + 0.994859i \(0.532291\pi\)
\(24\) −3.49997 3.45793i −0.714428 0.705848i
\(25\) −0.418902 + 0.351501i −0.0837805 + 0.0703002i
\(26\) 4.68670 + 8.11761i 0.919138 + 1.59199i
\(27\) 3.74022 + 3.60704i 0.719806 + 0.694175i
\(28\) 0.0446405 + 0.0113661i 0.00843625 + 0.00214799i
\(29\) 1.50083 4.12351i 0.278698 0.765716i −0.718813 0.695204i \(-0.755314\pi\)
0.997511 0.0705128i \(-0.0224636\pi\)
\(30\) 3.66104 + 3.61707i 0.668411 + 0.660383i
\(31\) −0.513951 1.41207i −0.0923084 0.253615i 0.884943 0.465699i \(-0.154197\pi\)
−0.977251 + 0.212084i \(0.931975\pi\)
\(32\) −0.0633067 + 0.0754460i −0.0111911 + 0.0133371i
\(33\) 6.39336 + 0.520445i 1.11294 + 0.0905978i
\(34\) 2.93040 + 3.49232i 0.502560 + 0.598927i
\(35\) −5.41058 1.37761i −0.914554 0.232859i
\(36\) 0.0330885 0.0404152i 0.00551475 0.00673586i
\(37\) 6.49662 1.06804 0.534019 0.845473i \(-0.320681\pi\)
0.534019 + 0.845473i \(0.320681\pi\)
\(38\) 7.04913 + 2.56567i 1.14352 + 0.416207i
\(39\) −9.40496 + 6.67047i −1.50600 + 1.06813i
\(40\) 3.85312 4.59197i 0.609232 0.726054i
\(41\) 10.4849 3.81619i 1.63746 0.595988i 0.650871 0.759188i \(-0.274404\pi\)
0.986593 + 0.163200i \(0.0521817\pi\)
\(42\) 1.00256 6.37411i 0.154699 0.983546i
\(43\) 1.29121 + 7.32280i 0.196907 + 1.11672i 0.909676 + 0.415318i \(0.136330\pi\)
−0.712769 + 0.701399i \(0.752559\pi\)
\(44\) 0.0644796i 0.00972066i
\(45\) −4.01044 + 4.89845i −0.597841 + 0.730219i
\(46\) −0.986227 −0.145411
\(47\) −5.63412 2.05065i −0.821821 0.299119i −0.103324 0.994648i \(-0.532948\pi\)
−0.718498 + 0.695529i \(0.755170\pi\)
\(48\) 5.64911 + 3.90490i 0.815379 + 0.563624i
\(49\) 2.55760 + 6.51603i 0.365371 + 0.930862i
\(50\) 0.494929 0.589833i 0.0699935 0.0834150i
\(51\) −3.94139 + 3.98930i −0.551905 + 0.558614i
\(52\) 0.0745020 + 0.0887880i 0.0103316 + 0.0123127i
\(53\) 0.766350 + 0.442452i 0.105266 + 0.0607755i 0.551709 0.834037i \(-0.313976\pi\)
−0.446443 + 0.894812i \(0.647309\pi\)
\(54\) −6.06833 4.08721i −0.825795 0.556199i
\(55\) 7.81514i 1.05379i
\(56\) −7.49453 0.561517i −1.00150 0.0750358i
\(57\) −2.33441 + 8.92755i −0.309201 + 1.18248i
\(58\) −1.07292 + 6.08484i −0.140881 + 0.798978i
\(59\) 4.77604 + 4.00757i 0.621787 + 0.521742i 0.898365 0.439250i \(-0.144756\pi\)
−0.276577 + 0.960992i \(0.589200\pi\)
\(60\) 0.0523485 + 0.0361855i 0.00675816 + 0.00467152i
\(61\) 2.54368 6.98869i 0.325684 0.894811i −0.663506 0.748171i \(-0.730932\pi\)
0.989190 0.146639i \(-0.0468456\pi\)
\(62\) 1.05793 + 1.83239i 0.134357 + 0.232713i
\(63\) 7.92166 + 0.497345i 0.998035 + 0.0626596i
\(64\) 4.03421 6.98746i 0.504277 0.873433i
\(65\) −9.02990 10.7614i −1.12002 1.33479i
\(66\) −8.99262 + 0.841528i −1.10692 + 0.103585i
\(67\) 1.82662 10.3593i 0.223157 1.26559i −0.643019 0.765850i \(-0.722319\pi\)
0.866177 0.499738i \(-0.166570\pi\)
\(68\) 0.0431834 + 0.0362352i 0.00523675 + 0.00439416i
\(69\) −0.113034 1.20789i −0.0136077 0.145413i
\(70\) 7.83942 + 0.587358i 0.936990 + 0.0702027i
\(71\) −3.83248 2.21268i −0.454832 0.262597i 0.255037 0.966931i \(-0.417912\pi\)
−0.709869 + 0.704334i \(0.751246\pi\)
\(72\) −4.17142 + 7.43105i −0.491607 + 0.875758i
\(73\) 3.06138i 0.358307i −0.983821 0.179154i \(-0.942664\pi\)
0.983821 0.179154i \(-0.0573359\pi\)
\(74\) −9.00855 + 1.58845i −1.04722 + 0.184654i
\(75\) 0.779129 + 0.538566i 0.0899661 + 0.0621883i
\(76\) 0.0913491 + 0.0161073i 0.0104785 + 0.00184763i
\(77\) 7.95554 5.71984i 0.906618 0.651836i
\(78\) 11.4105 11.5492i 1.29198 1.30769i
\(79\) −1.65307 9.37505i −0.185985 1.05478i −0.924683 0.380739i \(-0.875670\pi\)
0.738697 0.674037i \(-0.235441\pi\)
\(80\) −4.18344 + 7.24593i −0.467723 + 0.810120i
\(81\) 4.31035 7.90069i 0.478927 0.877855i
\(82\) −13.6058 + 7.85533i −1.50251 + 0.867476i
\(83\) 11.4377 + 4.16299i 1.25545 + 0.456947i 0.882241 0.470799i \(-0.156034\pi\)
0.373212 + 0.927746i \(0.378256\pi\)
\(84\) −0.00147789 0.0797727i −0.000161251 0.00870392i
\(85\) −5.23397 4.39182i −0.567704 0.476360i
\(86\) −3.58091 9.83847i −0.386140 1.06091i
\(87\) −7.57543 0.616671i −0.812172 0.0661140i
\(88\) 1.82677 + 10.3601i 0.194734 + 1.10439i
\(89\) −2.17916 + 3.77442i −0.230991 + 0.400088i −0.958100 0.286434i \(-0.907530\pi\)
0.727109 + 0.686522i \(0.240863\pi\)
\(90\) 4.36339 7.77303i 0.459942 0.819349i
\(91\) −4.34583 + 17.0683i −0.455567 + 1.78924i
\(92\) −0.0120097 + 0.00211763i −0.00125210 + 0.000220778i
\(93\) −2.12298 + 1.50572i −0.220143 + 0.156136i
\(94\) 8.31397 + 1.46598i 0.857520 + 0.151204i
\(95\) −11.0718 1.95226i −1.13594 0.200298i
\(96\) 0.155036 + 0.0711573i 0.0158233 + 0.00726246i
\(97\) −6.85869 + 1.20937i −0.696394 + 0.122793i −0.510629 0.859801i \(-0.670587\pi\)
−0.185765 + 0.982594i \(0.559476\pi\)
\(98\) −5.13970 8.41014i −0.519188 0.849552i
\(99\) −2.06134 10.9174i −0.207172 1.09724i
\(100\) 0.00476045 0.00824535i 0.000476045 0.000824535i
\(101\) 0.645643 + 3.66163i 0.0642439 + 0.364345i 0.999934 + 0.0115214i \(0.00366744\pi\)
−0.935690 + 0.352824i \(0.885221\pi\)
\(102\) 4.48994 6.49546i 0.444570 0.643147i
\(103\) −2.12266 5.83195i −0.209152 0.574639i 0.790114 0.612960i \(-0.210021\pi\)
−0.999265 + 0.0383208i \(0.987799\pi\)
\(104\) −14.4859 12.1551i −1.42046 1.19191i
\(105\) 0.179126 + 9.66873i 0.0174809 + 0.943571i
\(106\) −1.17084 0.426152i −0.113722 0.0413915i
\(107\) 2.47461 1.42872i 0.239230 0.138119i −0.375593 0.926785i \(-0.622561\pi\)
0.614823 + 0.788665i \(0.289228\pi\)
\(108\) −0.0826725 0.0367417i −0.00795517 0.00353547i
\(109\) 2.81692 4.87905i 0.269812 0.467328i −0.699001 0.715121i \(-0.746372\pi\)
0.968813 + 0.247792i \(0.0797051\pi\)
\(110\) −1.91084 10.8369i −0.182191 1.03326i
\(111\) −2.97797 10.8513i −0.282656 1.02996i
\(112\) 10.4379 1.04464i 0.986292 0.0987093i
\(113\) 9.04367 + 1.59464i 0.850757 + 0.150011i 0.581992 0.813194i \(-0.302273\pi\)
0.268765 + 0.963206i \(0.413385\pi\)
\(114\) 1.05420 12.9502i 0.0987346 1.21290i
\(115\) 1.45561 0.256664i 0.135737 0.0239340i
\(116\) 0.0764013i 0.00709368i
\(117\) 15.4528 + 12.6514i 1.42861 + 1.16962i
\(118\) −7.60258 4.38935i −0.699874 0.404073i
\(119\) −0.640023 + 8.54234i −0.0586708 + 0.783075i
\(120\) −9.43616 4.33094i −0.861399 0.395359i
\(121\) −2.08004 1.74536i −0.189095 0.158669i
\(122\) −1.81843 + 10.3128i −0.164633 + 0.933680i
\(123\) −11.1803 15.7635i −1.00809 1.42135i
\(124\) 0.0168173 + 0.0200421i 0.00151024 + 0.00179984i
\(125\) −5.85261 + 10.1370i −0.523474 + 0.906683i
\(126\) −11.1062 + 1.24723i −0.989418 + 0.111112i
\(127\) −0.958294 1.65981i −0.0850349 0.147285i 0.820371 0.571831i \(-0.193767\pi\)
−0.905406 + 0.424547i \(0.860433\pi\)
\(128\) −3.81822 + 10.4905i −0.337486 + 0.927235i
\(129\) 11.6393 5.51337i 1.02479 0.485425i
\(130\) 15.1525 + 12.7145i 1.32897 + 1.11513i
\(131\) −1.51205 + 8.57526i −0.132108 + 0.749224i 0.844721 + 0.535206i \(0.179766\pi\)
−0.976830 + 0.214018i \(0.931345\pi\)
\(132\) −0.107700 + 0.0295566i −0.00937407 + 0.00257257i
\(133\) 6.11604 + 12.6996i 0.530328 + 1.10119i
\(134\) 14.8114i 1.27951i
\(135\) 10.0202 + 4.45322i 0.862401 + 0.383272i
\(136\) −7.96498 4.59858i −0.682991 0.394325i
\(137\) −4.48477 5.34474i −0.383160 0.456632i 0.539649 0.841890i \(-0.318557\pi\)
−0.922809 + 0.385258i \(0.874112\pi\)
\(138\) 0.452074 + 1.64729i 0.0384831 + 0.140226i
\(139\) −6.76177 + 8.05836i −0.573526 + 0.683501i −0.972351 0.233526i \(-0.924974\pi\)
0.398825 + 0.917027i \(0.369418\pi\)
\(140\) 0.0967249 0.00968035i 0.00817475 0.000818139i
\(141\) −0.842583 + 10.3506i −0.0709583 + 0.871681i
\(142\) 5.85533 + 2.13117i 0.491368 + 0.178843i
\(143\) 24.6538 2.06165
\(144\) 3.93285 11.2256i 0.327738 0.935469i
\(145\) 9.26009i 0.769009i
\(146\) 0.748521 + 4.24507i 0.0619480 + 0.351325i
\(147\) 9.71132 7.25880i 0.800976 0.598696i
\(148\) −0.106290 + 0.0386864i −0.00873699 + 0.00318000i
\(149\) −7.15261 + 8.52415i −0.585965 + 0.698326i −0.974825 0.222971i \(-0.928424\pi\)
0.388860 + 0.921297i \(0.372869\pi\)
\(150\) −1.21206 0.556304i −0.0989646 0.0454221i
\(151\) 18.9758 + 6.90663i 1.54423 + 0.562054i 0.967055 0.254567i \(-0.0819330\pi\)
0.577175 + 0.816621i \(0.304155\pi\)
\(152\) −15.1337 −1.22750
\(153\) 8.46999 + 4.75463i 0.684758 + 0.384389i
\(154\) −9.63305 + 9.87659i −0.776253 + 0.795878i
\(155\) −2.03832 2.42917i −0.163722 0.195116i
\(156\) 0.114151 0.165140i 0.00913942 0.0132217i
\(157\) −3.14481 + 3.74783i −0.250983 + 0.299110i −0.876795 0.480864i \(-0.840323\pi\)
0.625812 + 0.779974i \(0.284768\pi\)
\(158\) 4.58448 + 12.5958i 0.364722 + 1.00207i
\(159\) 0.387740 1.48284i 0.0307498 0.117597i
\(160\) −0.0710834 + 0.195300i −0.00561963 + 0.0154398i
\(161\) −1.32663 1.29391i −0.104553 0.101975i
\(162\) −4.04520 + 12.0094i −0.317821 + 0.943549i
\(163\) −4.68621 8.11676i −0.367053 0.635754i 0.622051 0.782977i \(-0.286300\pi\)
−0.989103 + 0.147223i \(0.952966\pi\)
\(164\) −0.148817 + 0.124872i −0.0116206 + 0.00975086i
\(165\) 13.0536 3.58236i 1.01622 0.278886i
\(166\) −16.8780 2.97605i −1.30999 0.230986i
\(167\) 1.49566 8.48231i 0.115738 0.656381i −0.870645 0.491912i \(-0.836298\pi\)
0.986382 0.164468i \(-0.0525908\pi\)
\(168\) 2.49750 + 12.7755i 0.192686 + 0.985648i
\(169\) −23.9896 + 20.1296i −1.84535 + 1.54843i
\(170\) 8.33152 + 4.81021i 0.638999 + 0.368926i
\(171\) 15.9817 0.193119i 1.22215 0.0147682i
\(172\) −0.0647314 0.112118i −0.00493572 0.00854892i
\(173\) 6.49113 5.44671i 0.493512 0.414106i −0.361771 0.932267i \(-0.617828\pi\)
0.855283 + 0.518161i \(0.173383\pi\)
\(174\) 10.6553 0.997119i 0.807775 0.0755914i
\(175\) 1.43961 0.144078i 0.108824 0.0108912i
\(176\) −5.02208 13.7981i −0.378554 1.04007i
\(177\) 4.50455 9.81441i 0.338583 0.737696i
\(178\) 2.09888 5.76663i 0.157318 0.432227i
\(179\) −4.18791 + 2.41789i −0.313019 + 0.180722i −0.648277 0.761405i \(-0.724510\pi\)
0.335258 + 0.942126i \(0.391177\pi\)
\(180\) 0.0364445 0.104024i 0.00271641 0.00775352i
\(181\) 3.95269 2.28209i 0.293801 0.169626i −0.345854 0.938288i \(-0.612411\pi\)
0.639655 + 0.768662i \(0.279077\pi\)
\(182\) 1.85289 24.7304i 0.137345 1.83314i
\(183\) −12.8392 1.04516i −0.949098 0.0772604i
\(184\) 1.86964 0.680492i 0.137831 0.0501665i
\(185\) 12.8827 4.68892i 0.947156 0.344737i
\(186\) 2.57568 2.60700i 0.188858 0.191154i
\(187\) 11.8086 2.08217i 0.863528 0.152263i
\(188\) 0.104390 0.00761344
\(189\) −2.80047 13.4595i −0.203704 0.979032i
\(190\) 15.8301 1.14844
\(191\) −10.1847 + 1.79584i −0.736940 + 0.129942i −0.529505 0.848307i \(-0.677622\pi\)
−0.207434 + 0.978249i \(0.566511\pi\)
\(192\) −13.5203 3.53536i −0.975747 0.255142i
\(193\) −9.77771 + 3.55879i −0.703815 + 0.256168i −0.669039 0.743228i \(-0.733294\pi\)
−0.0347759 + 0.999395i \(0.511072\pi\)
\(194\) 9.21492 3.35396i 0.661593 0.240800i
\(195\) −13.8355 + 20.0155i −0.990783 + 1.43334i
\(196\) −0.0806464 0.0913776i −0.00576046 0.00652697i
\(197\) 12.2795 7.08959i 0.874880 0.505112i 0.00591309 0.999983i \(-0.498118\pi\)
0.868967 + 0.494870i \(0.164784\pi\)
\(198\) 5.52770 + 14.6346i 0.392837 + 1.04003i
\(199\) 17.4224 10.0588i 1.23504 0.713050i 0.266963 0.963707i \(-0.413980\pi\)
0.968076 + 0.250657i \(0.0806466\pi\)
\(200\) −0.531277 + 1.45967i −0.0375670 + 0.103214i
\(201\) −18.1403 + 1.69757i −1.27952 + 0.119737i
\(202\) −1.79057 4.91954i −0.125984 0.346138i
\(203\) −9.42645 + 6.77738i −0.661607 + 0.475679i
\(204\) 0.0407286 0.0887387i 0.00285158 0.00621295i
\(205\) 18.0371 15.1349i 1.25976 1.05707i
\(206\) 4.36933 + 7.56790i 0.304425 + 0.527280i
\(207\) −1.96572 + 0.742482i −0.136627 + 0.0516061i
\(208\) 22.8582 + 13.1972i 1.58493 + 0.915058i
\(209\) 15.1144 12.6825i 1.04548 0.877264i
\(210\) −2.61243 13.3634i −0.180275 0.922161i
\(211\) 0.582787 3.30515i 0.0401207 0.227536i −0.958154 0.286254i \(-0.907590\pi\)
0.998275 + 0.0587176i \(0.0187011\pi\)
\(212\) −0.0151729 0.00267538i −0.00104208 0.000183746i
\(213\) −1.93907 + 7.41563i −0.132863 + 0.508111i
\(214\) −3.08210 + 2.58619i −0.210688 + 0.176788i
\(215\) 7.84567 + 13.5891i 0.535070 + 0.926768i
\(216\) 14.3242 + 3.56120i 0.974636 + 0.242309i
\(217\) −0.980985 + 3.85283i −0.0665936 + 0.261547i
\(218\) −2.71314 + 7.45430i −0.183757 + 0.504869i
\(219\) −5.11340 + 1.40330i −0.345532 + 0.0948260i
\(220\) −0.0465380 0.127862i −0.00313759 0.00862047i
\(221\) −13.8545 + 16.5112i −0.931956 + 1.11066i
\(222\) 6.78259 + 14.3188i 0.455217 + 0.961015i
\(223\) −6.45098 7.68798i −0.431990 0.514825i 0.505506 0.862823i \(-0.331306\pi\)
−0.937495 + 0.347998i \(0.886862\pi\)
\(224\) 0.250834 0.0705780i 0.0167595 0.00471569i
\(225\) 0.542421 1.54825i 0.0361614 0.103216i
\(226\) −12.9303 −0.860113
\(227\) −16.6785 6.07047i −1.10699 0.402911i −0.277102 0.960841i \(-0.589374\pi\)
−0.829889 + 0.557929i \(0.811596\pi\)
\(228\) −0.0149693 0.159963i −0.000991367 0.0105938i
\(229\) −8.39720 + 10.0074i −0.554903 + 0.661307i −0.968459 0.249171i \(-0.919842\pi\)
0.413557 + 0.910478i \(0.364286\pi\)
\(230\) −1.95568 + 0.711808i −0.128953 + 0.0469352i
\(231\) −13.2005 10.6662i −0.868531 0.701784i
\(232\) −2.16452 12.2756i −0.142108 0.805934i
\(233\) 18.9719i 1.24289i −0.783457 0.621446i \(-0.786545\pi\)
0.783457 0.621446i \(-0.213455\pi\)
\(234\) −24.5209 13.7648i −1.60298 0.899835i
\(235\) −12.6525 −0.825355
\(236\) −0.102004 0.0371266i −0.00663992 0.00241674i
\(237\) −14.9013 + 7.05853i −0.967946 + 0.458501i
\(238\) −1.20115 12.0017i −0.0778589 0.777958i
\(239\) −13.6545 + 16.2728i −0.883236 + 1.05260i 0.115008 + 0.993365i \(0.463311\pi\)
−0.998244 + 0.0592349i \(0.981134\pi\)
\(240\) 14.0205 + 3.66613i 0.905018 + 0.236648i
\(241\) −7.57437 9.02679i −0.487908 0.581466i 0.464776 0.885428i \(-0.346135\pi\)
−0.952684 + 0.303962i \(0.901690\pi\)
\(242\) 3.31104 + 1.91163i 0.212842 + 0.122884i
\(243\) −15.1723 3.57797i −0.973302 0.229527i
\(244\) 0.129488i 0.00828962i
\(245\) 9.77462 + 11.0753i 0.624477 + 0.707573i
\(246\) 19.3574 + 19.1249i 1.23419 + 1.21936i
\(247\) −6.15863 + 34.9274i −0.391865 + 2.22237i
\(248\) −3.26990 2.74377i −0.207639 0.174230i
\(249\) 1.71051 21.0126i 0.108399 1.33162i
\(250\) 5.63700 15.4875i 0.356515 0.979517i
\(251\) −13.6923 23.7157i −0.864248 1.49692i −0.867792 0.496927i \(-0.834462\pi\)
0.00354445 0.999994i \(-0.498872\pi\)
\(252\) −0.132566 + 0.0390353i −0.00835090 + 0.00245899i
\(253\) −1.29698 + 2.24643i −0.0815404 + 0.141232i
\(254\) 1.73465 + 2.06728i 0.108842 + 0.129713i
\(255\) −4.93645 + 10.7554i −0.309132 + 0.673531i
\(256\) −0.0725551 + 0.411480i −0.00453469 + 0.0257175i
\(257\) 12.2349 + 10.2663i 0.763190 + 0.640392i 0.938955 0.344040i \(-0.111796\pi\)
−0.175765 + 0.984432i \(0.556240\pi\)
\(258\) −14.7917 + 10.4910i −0.920891 + 0.653141i
\(259\) −14.2019 9.68236i −0.882463 0.601633i
\(260\) 0.211819 + 0.122294i 0.0131365 + 0.00758434i
\(261\) 2.44246 + 12.9359i 0.151185 + 0.800711i
\(262\) 12.2606i 0.757463i
\(263\) 28.4125 5.00989i 1.75199 0.308923i 0.796653 0.604437i \(-0.206602\pi\)
0.955338 + 0.295514i \(0.0954910\pi\)
\(264\) 16.4671 7.80019i 1.01348 0.480068i
\(265\) 1.83900 + 0.324266i 0.112969 + 0.0199195i
\(266\) −11.5859 16.1145i −0.710378 0.988043i
\(267\) 7.30329 + 1.90970i 0.446954 + 0.116871i
\(268\) 0.0318030 + 0.180364i 0.00194268 + 0.0110175i
\(269\) −4.08105 + 7.06859i −0.248826 + 0.430979i −0.963200 0.268784i \(-0.913378\pi\)
0.714374 + 0.699764i \(0.246711\pi\)
\(270\) −14.9834 3.72509i −0.911858 0.226702i
\(271\) 10.1461 5.85783i 0.616329 0.355838i −0.159109 0.987261i \(-0.550862\pi\)
0.775438 + 0.631423i \(0.217529\pi\)
\(272\) 12.0631 + 4.39061i 0.731432 + 0.266220i
\(273\) 30.5011 0.565073i 1.84601 0.0341998i
\(274\) 7.52564 + 6.31476i 0.454640 + 0.381488i
\(275\) −0.692649 1.90304i −0.0417683 0.114757i
\(276\) 0.00904214 + 0.0190890i 0.000544273 + 0.00114902i
\(277\) −1.65265 9.37262i −0.0992979 0.563146i −0.993345 0.115174i \(-0.963257\pi\)
0.894047 0.447972i \(-0.147854\pi\)
\(278\) 7.40592 12.8274i 0.444178 0.769339i
\(279\) 3.48815 + 2.85580i 0.208830 + 0.170972i
\(280\) −15.2668 + 4.29568i −0.912367 + 0.256716i
\(281\) 20.5328 3.62048i 1.22488 0.215980i 0.476457 0.879198i \(-0.341921\pi\)
0.748426 + 0.663218i \(0.230810\pi\)
\(282\) −1.36241 14.5588i −0.0811301 0.866961i
\(283\) 1.45014 + 0.255698i 0.0862017 + 0.0151997i 0.216583 0.976264i \(-0.430509\pi\)
−0.130381 + 0.991464i \(0.541620\pi\)
\(284\) 0.0758787 + 0.0133795i 0.00450258 + 0.000793925i
\(285\) 1.81433 + 19.3881i 0.107472 + 1.14845i
\(286\) −34.1863 + 6.02796i −2.02148 + 0.356441i
\(287\) −28.6080 7.28400i −1.68868 0.429961i
\(288\) 0.0477871 0.291573i 0.00281588 0.0171811i
\(289\) 3.25849 5.64387i 0.191676 0.331992i
\(290\) 2.26413 + 12.8405i 0.132954 + 0.754022i
\(291\) 5.16394 + 10.9017i 0.302716 + 0.639067i
\(292\) 0.0182301 + 0.0500867i 0.00106683 + 0.00293110i
\(293\) 4.11874 + 3.45603i 0.240619 + 0.201904i 0.755120 0.655586i \(-0.227578\pi\)
−0.514501 + 0.857490i \(0.672023\pi\)
\(294\) −11.6914 + 12.4399i −0.681858 + 0.725510i
\(295\) 12.3633 + 4.49987i 0.719818 + 0.261992i
\(296\) 15.9819 9.22716i 0.928930 0.536318i
\(297\) −17.2903 + 8.44742i −1.00328 + 0.490169i
\(298\) 7.83400 13.5689i 0.453811 0.786024i
\(299\) −0.809676 4.59190i −0.0468248 0.265557i
\(300\) −0.0159543 0.00417179i −0.000921121 0.000240859i
\(301\) 8.09104 17.9323i 0.466360 1.03360i
\(302\) −28.0016 4.93743i −1.61131 0.284117i
\(303\) 5.82003 2.75686i 0.334352 0.158377i
\(304\) 20.8024 3.66803i 1.19310 0.210376i
\(305\) 15.6944i 0.898658i
\(306\) −12.9075 4.52207i −0.737870 0.258510i
\(307\) −6.76941 3.90832i −0.386351 0.223060i 0.294227 0.955736i \(-0.404938\pi\)
−0.680578 + 0.732676i \(0.738271\pi\)
\(308\) −0.0960984 + 0.140955i −0.00547571 + 0.00803167i
\(309\) −8.76807 + 6.21875i −0.498798 + 0.353772i
\(310\) 3.42038 + 2.87004i 0.194265 + 0.163007i
\(311\) 2.15372 12.2144i 0.122126 0.692612i −0.860847 0.508864i \(-0.830066\pi\)
0.982973 0.183749i \(-0.0588232\pi\)
\(312\) −13.6625 + 29.7675i −0.773485 + 1.68525i
\(313\) −4.55606 5.42970i −0.257524 0.306905i 0.621756 0.783211i \(-0.286420\pi\)
−0.879279 + 0.476307i \(0.841975\pi\)
\(314\) 3.44439 5.96587i 0.194378 0.336673i
\(315\) 16.0675 4.73121i 0.905302 0.266574i
\(316\) 0.0828727 + 0.143540i 0.00466196 + 0.00807475i
\(317\) −5.78906 + 15.9053i −0.325146 + 0.893332i 0.664175 + 0.747578i \(0.268783\pi\)
−0.989321 + 0.145754i \(0.953439\pi\)
\(318\) −0.175100 + 2.15099i −0.00981909 + 0.120622i
\(319\) 12.4491 + 10.4460i 0.697015 + 0.584865i
\(320\) 2.95660 16.7677i 0.165279 0.937345i
\(321\) −3.52071 3.47842i −0.196507 0.194147i
\(322\) 2.15594 + 1.46984i 0.120146 + 0.0819111i
\(323\) 17.2495i 0.959788i
\(324\) −0.0234734 + 0.154929i −0.00130408 + 0.00860718i
\(325\) 3.15261 + 1.82016i 0.174875 + 0.100964i
\(326\) 8.48274 + 10.1093i 0.469815 + 0.559904i
\(327\) −9.44069 2.46859i −0.522071 0.136513i
\(328\) 20.3730 24.2797i 1.12491 1.34062i
\(329\) 9.26022 + 12.8798i 0.510533 + 0.710084i
\(330\) −17.2249 + 8.15915i −0.948199 + 0.449146i
\(331\) −13.5894 4.94613i −0.746940 0.271864i −0.0596225 0.998221i \(-0.518990\pi\)
−0.687318 + 0.726357i \(0.741212\pi\)
\(332\) −0.211921 −0.0116306
\(333\) −16.7597 + 9.94816i −0.918427 + 0.545156i
\(334\) 12.1277i 0.663599i
\(335\) −3.85463 21.8607i −0.210601 1.19438i
\(336\) −6.52947 16.9556i −0.356212 0.925002i
\(337\) −14.9144 + 5.42839i −0.812438 + 0.295703i −0.714630 0.699502i \(-0.753405\pi\)
−0.0978073 + 0.995205i \(0.531183\pi\)
\(338\) 28.3434 33.7784i 1.54168 1.83730i
\(339\) −1.48198 15.8366i −0.0804902 0.860123i
\(340\) 0.111785 + 0.0406863i 0.00606238 + 0.00220653i
\(341\) 5.56510 0.301367
\(342\) −22.1138 + 4.17538i −1.19578 + 0.225779i
\(343\) 4.12028 18.0561i 0.222474 0.974939i
\(344\) 13.5770 + 16.1804i 0.732023 + 0.872391i
\(345\) −1.09594 2.31365i −0.0590034 0.124563i
\(346\) −7.66921 + 9.13981i −0.412299 + 0.491359i
\(347\) 1.75821 + 4.83065i 0.0943858 + 0.259323i 0.977897 0.209087i \(-0.0670492\pi\)
−0.883511 + 0.468410i \(0.844827\pi\)
\(348\) 0.127613 0.0350214i 0.00684075 0.00187734i
\(349\) −3.81124 + 10.4713i −0.204011 + 0.560516i −0.998932 0.0461967i \(-0.985290\pi\)
0.794921 + 0.606713i \(0.207512\pi\)
\(350\) −1.96101 + 0.551775i −0.104820 + 0.0294936i
\(351\) 14.0482 31.6099i 0.749837 1.68721i
\(352\) −0.182371 0.315875i −0.00972038 0.0168362i
\(353\) 2.35970 1.98003i 0.125594 0.105386i −0.577827 0.816159i \(-0.696099\pi\)
0.703421 + 0.710773i \(0.251655\pi\)
\(354\) −3.84658 + 14.7106i −0.204443 + 0.781858i
\(355\) −9.19676 1.62164i −0.488113 0.0860676i
\(356\) 0.0131768 0.0747292i 0.000698368 0.00396064i
\(357\) 14.5616 2.84667i 0.770681 0.150662i
\(358\) 5.21599 4.37674i 0.275674 0.231318i
\(359\) 18.9719 + 10.9534i 1.00130 + 0.578099i 0.908632 0.417598i \(-0.137128\pi\)
0.0926653 + 0.995697i \(0.470461\pi\)
\(360\) −2.90853 + 17.7464i −0.153293 + 0.935318i
\(361\) 4.69176 + 8.12637i 0.246935 + 0.427704i
\(362\) −4.92303 + 4.13091i −0.258749 + 0.217116i
\(363\) −1.96180 + 4.27433i −0.102968 + 0.224344i
\(364\) −0.0305378 0.305130i −0.00160062 0.0159932i
\(365\) −2.20955 6.07068i −0.115653 0.317754i
\(366\) 18.0590 1.68996i 0.943959 0.0883355i
\(367\) 2.26195 6.21467i 0.118073 0.324403i −0.866551 0.499088i \(-0.833668\pi\)
0.984624 + 0.174685i \(0.0558907\pi\)
\(368\) −2.40503 + 1.38854i −0.125371 + 0.0723829i
\(369\) −21.2048 + 25.9002i −1.10388 + 1.34831i
\(370\) −16.7174 + 9.65179i −0.869096 + 0.501773i
\(371\) −1.01586 2.10937i −0.0527408 0.109513i
\(372\) 0.0257674 0.0372769i 0.00133598 0.00193272i
\(373\) −23.1460 + 8.42445i −1.19845 + 0.436201i −0.862684 0.505743i \(-0.831218\pi\)
−0.335769 + 0.941944i \(0.608996\pi\)
\(374\) −15.8653 + 5.77449i −0.820375 + 0.298592i
\(375\) 19.6146 + 5.12890i 1.01289 + 0.264855i
\(376\) −16.7727 + 2.95748i −0.864986 + 0.152520i
\(377\) −29.2121 −1.50450
\(378\) 7.17418 + 17.9789i 0.369000 + 0.924734i
\(379\) 2.06704 0.106176 0.0530882 0.998590i \(-0.483094\pi\)
0.0530882 + 0.998590i \(0.483094\pi\)
\(380\) 0.192769 0.0339905i 0.00988887 0.00174367i
\(381\) −2.33311 + 2.36147i −0.119529 + 0.120982i
\(382\) 13.6836 4.98041i 0.700112 0.254820i
\(383\) 6.49822 2.36516i 0.332044 0.120854i −0.170618 0.985337i \(-0.554576\pi\)
0.502662 + 0.864483i \(0.332354\pi\)
\(384\) 19.2724 + 1.56885i 0.983490 + 0.0800600i
\(385\) 11.6475 17.0843i 0.593609 0.870695i
\(386\) 12.6881 7.32550i 0.645810 0.372858i
\(387\) −14.5443 16.9139i −0.739327 0.859781i
\(388\) 0.105012 0.0606288i 0.00533118 0.00307796i
\(389\) −4.62127 + 12.6968i −0.234308 + 0.643755i 0.765692 + 0.643207i \(0.222397\pi\)
−1.00000 0.000547677i \(0.999826\pi\)
\(390\) 14.2912 31.1374i 0.723663 1.57670i
\(391\) −0.775631 2.13103i −0.0392254 0.107771i
\(392\) 15.5465 + 12.3971i 0.785217 + 0.626149i
\(393\) 15.0163 1.40522i 0.757473 0.0708841i
\(394\) −15.2940 + 12.8332i −0.770501 + 0.646527i
\(395\) −10.0445 17.3975i −0.505392 0.875364i
\(396\) 0.0987364 + 0.166342i 0.00496169 + 0.00835900i
\(397\) 18.6484 + 10.7666i 0.935934 + 0.540362i 0.888683 0.458521i \(-0.151621\pi\)
0.0472507 + 0.998883i \(0.484954\pi\)
\(398\) −21.6994 + 18.2079i −1.08769 + 0.912681i
\(399\) 18.4085 16.0369i 0.921577 0.802849i
\(400\) 0.376494 2.13521i 0.0188247 0.106760i
\(401\) 26.0547 + 4.59414i 1.30111 + 0.229420i 0.780920 0.624631i \(-0.214751\pi\)
0.520188 + 0.854052i \(0.325862\pi\)
\(402\) 24.7393 6.78933i 1.23388 0.338621i
\(403\) −7.66311 + 6.43011i −0.381727 + 0.320307i
\(404\) −0.0323677 0.0560625i −0.00161035 0.00278921i
\(405\) 2.84505 18.7780i 0.141372 0.933084i
\(406\) 11.4141 11.7027i 0.566473 0.580794i
\(407\) −8.22890 + 22.6087i −0.407891 + 1.12067i
\(408\) −4.02994 + 15.4118i −0.199512 + 0.762997i
\(409\) −8.57817 23.5683i −0.424163 1.16538i −0.949303 0.314362i \(-0.898209\pi\)
0.525140 0.851016i \(-0.324013\pi\)
\(410\) −21.3106 + 25.3970i −1.05246 + 1.25427i
\(411\) −6.87153 + 9.94085i −0.338947 + 0.490346i
\(412\) 0.0694568 + 0.0827754i 0.00342189 + 0.00407805i
\(413\) −4.46788 15.8788i −0.219850 0.781345i
\(414\) 2.54423 1.51019i 0.125042 0.0742219i
\(415\) 25.6855 1.26085
\(416\) 0.616097 + 0.224241i 0.0302066 + 0.0109943i
\(417\) 16.5593 + 7.60029i 0.810914 + 0.372188i
\(418\) −17.8575 + 21.2817i −0.873437 + 1.04092i
\(419\) −22.3814 + 8.14616i −1.09340 + 0.397966i −0.824880 0.565307i \(-0.808758\pi\)
−0.268522 + 0.963273i \(0.586535\pi\)
\(420\) −0.0605065 0.157122i −0.00295242 0.00766676i
\(421\) −1.34235 7.61285i −0.0654222 0.371027i −0.999888 0.0149744i \(-0.995233\pi\)
0.934466 0.356053i \(-0.115878\pi\)
\(422\) 4.72559i 0.230038i
\(423\) 17.6748 3.33724i 0.859380 0.162262i
\(424\) 2.51366 0.122074
\(425\) 1.66375 + 0.605555i 0.0807037 + 0.0293737i
\(426\) 0.875664 10.7570i 0.0424261 0.521179i
\(427\) −15.9763 + 11.4866i −0.773149 + 0.555875i
\(428\) −0.0319789 + 0.0381110i −0.00154576 + 0.00184216i
\(429\) −11.3010 41.1791i −0.545617 1.98814i
\(430\) −14.2018 16.9251i −0.684872 0.816199i
\(431\) −4.73254 2.73233i −0.227959 0.131612i 0.381671 0.924298i \(-0.375349\pi\)
−0.609630 + 0.792686i \(0.708682\pi\)
\(432\) −20.5529 1.42333i −0.988850 0.0684800i
\(433\) 35.5423i 1.70805i 0.520229 + 0.854027i \(0.325846\pi\)
−0.520229 + 0.854027i \(0.674154\pi\)
\(434\) 0.418253 5.58239i 0.0200768 0.267963i
\(435\) −15.4671 + 4.24471i −0.741589 + 0.203518i
\(436\) −0.0170331 + 0.0965996i −0.000815738 + 0.00462628i
\(437\) −2.85856 2.39862i −0.136744 0.114741i
\(438\) 6.74740 3.19614i 0.322403 0.152717i
\(439\) −1.38811 + 3.81379i −0.0662506 + 0.182022i −0.968400 0.249401i \(-0.919766\pi\)
0.902150 + 0.431423i \(0.141988\pi\)
\(440\) 11.0999 + 19.2255i 0.529165 + 0.916541i
\(441\) −16.5759 12.8934i −0.789328 0.613972i
\(442\) 15.1744 26.2828i 0.721771 1.25014i
\(443\) 5.32766 + 6.34926i 0.253125 + 0.301662i 0.877611 0.479373i \(-0.159136\pi\)
−0.624486 + 0.781036i \(0.714692\pi\)
\(444\) 0.113340 + 0.159802i 0.00537886 + 0.00758388i
\(445\) −1.59707 + 9.05744i −0.0757084 + 0.429364i
\(446\) 10.8250 + 9.08327i 0.512579 + 0.430105i
\(447\) 17.5165 + 8.03960i 0.828502 + 0.380260i
\(448\) −19.2329 + 9.26244i −0.908668 + 0.437609i
\(449\) 25.1276 + 14.5074i 1.18585 + 0.684648i 0.957359 0.288899i \(-0.0932893\pi\)
0.228486 + 0.973547i \(0.426623\pi\)
\(450\) −0.373597 + 2.27951i −0.0176115 + 0.107457i
\(451\) 41.3219i 1.94577i
\(452\) −0.157458 + 0.0277641i −0.00740619 + 0.00130591i
\(453\) 2.83783 34.8611i 0.133333 1.63792i
\(454\) 24.6115 + 4.33968i 1.15508 + 0.203671i
\(455\) 3.70129 + 36.9828i 0.173519 + 1.73378i
\(456\) 6.93708 + 25.2777i 0.324858 + 1.18373i
\(457\) −1.13908 6.46004i −0.0532839 0.302188i 0.946506 0.322686i \(-0.104586\pi\)
−0.999790 + 0.0204982i \(0.993475\pi\)
\(458\) 9.19715 15.9299i 0.429755 0.744357i
\(459\) 4.05909 16.3268i 0.189462 0.762071i
\(460\) −0.0222866 + 0.0128672i −0.00103912 + 0.000599936i
\(461\) 20.7893 + 7.56669i 0.968255 + 0.352416i 0.777263 0.629176i \(-0.216607\pi\)
0.190992 + 0.981592i \(0.438830\pi\)
\(462\) 20.9125 + 11.5627i 0.972936 + 0.537946i
\(463\) 12.6417 + 10.6077i 0.587511 + 0.492980i 0.887404 0.460993i \(-0.152507\pi\)
−0.299893 + 0.953973i \(0.596951\pi\)
\(464\) 5.95062 + 16.3492i 0.276251 + 0.758992i
\(465\) −3.12309 + 4.51809i −0.144830 + 0.209521i
\(466\) 4.63872 + 26.3075i 0.214884 + 1.21867i
\(467\) 0.713130 1.23518i 0.0329997 0.0571572i −0.849054 0.528306i \(-0.822827\pi\)
0.882054 + 0.471149i \(0.156161\pi\)
\(468\) −0.328157 0.114968i −0.0151691 0.00531441i
\(469\) −19.4322 + 19.9235i −0.897298 + 0.919983i
\(470\) 17.5446 3.09358i 0.809271 0.142696i
\(471\) 7.70152 + 3.53479i 0.354867 + 0.162875i
\(472\) 17.4412 + 3.07535i 0.802796 + 0.141555i
\(473\) −27.1194 4.78188i −1.24695 0.219871i
\(474\) 18.9372 13.4312i 0.869812 0.616914i
\(475\) 2.86909 0.505897i 0.131643 0.0232122i
\(476\) −0.0403971 0.143571i −0.00185160 0.00658056i
\(477\) −2.65452 + 0.0320766i −0.121542 + 0.00146868i
\(478\) 14.9553 25.9033i 0.684038 1.18479i
\(479\) 4.17371 + 23.6703i 0.190702 + 1.08152i 0.918408 + 0.395635i \(0.129475\pi\)
−0.727706 + 0.685889i \(0.759414\pi\)
\(480\) 0.358792 + 0.0292071i 0.0163765 + 0.00133312i
\(481\) −14.7918 40.6400i −0.674446 1.85303i
\(482\) 12.7101 + 10.6651i 0.578930 + 0.485780i
\(483\) −1.55311 + 2.80897i −0.0706688 + 0.127812i
\(484\) 0.0444246 + 0.0161692i 0.00201930 + 0.000734965i
\(485\) −12.7278 + 7.34842i −0.577941 + 0.333674i
\(486\) 21.9135 + 1.25171i 0.994017 + 0.0567788i
\(487\) 17.7620 30.7647i 0.804874 1.39408i −0.111501 0.993764i \(-0.535566\pi\)
0.916376 0.400319i \(-0.131101\pi\)
\(488\) −3.66852 20.8052i −0.166066 0.941808i
\(489\) −11.4093 + 11.5480i −0.515945 + 0.522217i
\(490\) −16.2620 12.9676i −0.734640 0.585818i
\(491\) −30.5498 5.38675i −1.37869 0.243101i −0.565334 0.824862i \(-0.691253\pi\)
−0.813360 + 0.581761i \(0.802364\pi\)
\(492\) 0.276788 + 0.191328i 0.0124786 + 0.00862572i
\(493\) −13.9919 + 2.46714i −0.630162 + 0.111115i
\(494\) 49.9379i 2.24681i
\(495\) −11.9672 20.1612i −0.537885 0.906179i
\(496\) 5.15977 + 2.97899i 0.231681 + 0.133761i
\(497\) 5.08026 + 10.5488i 0.227881 + 0.473180i
\(498\) 2.76579 + 29.5554i 0.123938 + 1.32441i
\(499\) 27.8976 + 23.4088i 1.24887 + 1.04792i 0.996777 + 0.0802188i \(0.0255619\pi\)
0.252089 + 0.967704i \(0.418883\pi\)
\(500\) 0.0353891 0.200701i 0.00158265 0.00897564i
\(501\) −14.8535 + 1.38999i −0.663607 + 0.0621002i
\(502\) 24.7850 + 29.5376i 1.10621 + 1.31833i
\(503\) 9.30116 16.1101i 0.414718 0.718313i −0.580681 0.814131i \(-0.697213\pi\)
0.995399 + 0.0958185i \(0.0305468\pi\)
\(504\) 20.1939 10.0277i 0.899509 0.446667i
\(505\) 3.92308 + 6.79497i 0.174575 + 0.302372i
\(506\) 1.24920 3.43214i 0.0555336 0.152577i
\(507\) 44.6189 + 30.8424i 1.98159 + 1.36976i
\(508\) 0.0255624 + 0.0214494i 0.00113415 + 0.000951665i
\(509\) 0.776316 4.40271i 0.0344096 0.195147i −0.962757 0.270367i \(-0.912855\pi\)
0.997167 + 0.0752205i \(0.0239661\pi\)
\(510\) 4.21540 16.1210i 0.186661 0.713851i
\(511\) −4.56259 + 6.69232i −0.201837 + 0.296051i
\(512\) 22.9158i 1.01274i
\(513\) −7.64837 26.6056i −0.337684 1.17467i
\(514\) −19.4757 11.2443i −0.859034 0.495964i
\(515\) −8.41841 10.0327i −0.370959 0.442092i
\(516\) −0.157598 + 0.159514i −0.00693787 + 0.00702221i
\(517\) 14.2729 17.0097i 0.627719 0.748087i
\(518\) 22.0605 + 9.95365i 0.969283 + 0.437338i
\(519\) −12.0731 8.34540i −0.529948 0.366322i
\(520\) −37.4983 13.6483i −1.64441 0.598516i
\(521\) −34.6679 −1.51883 −0.759415 0.650607i \(-0.774515\pi\)
−0.759415 + 0.650607i \(0.774515\pi\)
\(522\) −6.54972 17.3404i −0.286674 0.758968i
\(523\) 25.7209i 1.12470i 0.826901 + 0.562348i \(0.190102\pi\)
−0.826901 + 0.562348i \(0.809898\pi\)
\(524\) −0.0263260 0.149302i −0.00115006 0.00652231i
\(525\) −0.900549 2.33852i −0.0393032 0.102061i
\(526\) −38.1734 + 13.8940i −1.66444 + 0.605806i
\(527\) −3.12738 + 3.72707i −0.136231 + 0.162354i
\(528\) −20.7448 + 14.7132i −0.902799 + 0.640310i
\(529\) −21.1519 7.69867i −0.919649 0.334725i
\(530\) −2.62934 −0.114211
\(531\) −18.4578 3.02512i −0.800999 0.131279i
\(532\) −0.175687 0.171355i −0.00761702 0.00742919i
\(533\) −47.7448 56.9001i −2.06806 2.46462i
\(534\) −10.5941 0.862399i −0.458450 0.0373196i
\(535\) 3.87595 4.61918i 0.167572 0.199704i
\(536\) −10.2198 28.0786i −0.441426 1.21281i
\(537\) 5.95827 + 5.88671i 0.257118 + 0.254030i
\(538\) 3.93070 10.7995i 0.169465 0.465600i
\(539\) −25.9158 + 0.647128i −1.11627 + 0.0278738i
\(540\) −0.190457 0.0131895i −0.00819596 0.000567587i
\(541\) 13.1658 + 22.8039i 0.566044 + 0.980416i 0.996952 + 0.0780204i \(0.0248599\pi\)
−0.430908 + 0.902396i \(0.641807\pi\)
\(542\) −12.6368 + 10.6035i −0.542797 + 0.455461i
\(543\) −5.62361 5.55607i −0.241332 0.238434i
\(544\) 0.314034 + 0.0553727i 0.0134641 + 0.00237408i
\(545\) 2.06447 11.7082i 0.0884323 0.501524i
\(546\) −42.1563 + 8.24122i −1.80412 + 0.352692i
\(547\) 13.7395 11.5288i 0.587459 0.492937i −0.299928 0.953962i \(-0.596963\pi\)
0.887387 + 0.461025i \(0.152518\pi\)
\(548\) 0.105202 + 0.0607383i 0.00449400 + 0.00259461i
\(549\) 4.13959 + 21.9243i 0.176673 + 0.935704i
\(550\) 1.42576 + 2.46950i 0.0607948 + 0.105300i
\(551\) −17.9089 + 15.0273i −0.762944 + 0.640186i
\(552\) −1.99364 2.81091i −0.0848549 0.119640i
\(553\) −10.3586 + 22.9580i −0.440492 + 0.976273i
\(554\) 4.58329 + 12.5925i 0.194725 + 0.535004i
\(555\) −13.7372 19.3686i −0.583110 0.822150i
\(556\) 0.0626418 0.172107i 0.00265660 0.00729896i
\(557\) 0.993267 0.573463i 0.0420861 0.0242984i −0.478809 0.877919i \(-0.658931\pi\)
0.520895 + 0.853621i \(0.325598\pi\)
\(558\) −5.53511 3.10713i −0.234320 0.131535i
\(559\) 42.8684 24.7501i 1.81314 1.04682i
\(560\) 19.9443 9.60507i 0.842801 0.405888i
\(561\) −8.89073 18.7693i −0.375367 0.792442i
\(562\) −27.5866 + 10.0407i −1.16367 + 0.423542i
\(563\) −8.48848 + 3.08955i −0.357747 + 0.130209i −0.514640 0.857406i \(-0.672074\pi\)
0.156893 + 0.987616i \(0.449852\pi\)
\(564\) −0.0478512 0.174362i −0.00201490 0.00734198i
\(565\) 19.0844 3.36510i 0.802888 0.141571i
\(566\) −2.07336 −0.0871497
\(567\) −21.1976 + 10.8473i −0.890214 + 0.455542i
\(568\) −12.5707 −0.527455
\(569\) −42.2332 + 7.44685i −1.77051 + 0.312188i −0.961334 0.275384i \(-0.911195\pi\)
−0.809172 + 0.587572i \(0.800084\pi\)
\(570\) −7.25632 26.4409i −0.303934 1.10749i
\(571\) 31.1144 11.3247i 1.30210 0.473925i 0.404419 0.914574i \(-0.367474\pi\)
0.897680 + 0.440648i \(0.145251\pi\)
\(572\) −0.403356 + 0.146810i −0.0168652 + 0.00613842i
\(573\) 7.66812 + 16.1883i 0.320340 + 0.676275i
\(574\) 41.4503 + 3.10561i 1.73010 + 0.129625i
\(575\) −0.331703 + 0.191509i −0.0138330 + 0.00798648i
\(576\) 0.292469 + 24.2035i 0.0121862 + 1.00848i
\(577\) 36.2292 20.9170i 1.50824 0.870784i 0.508289 0.861187i \(-0.330278\pi\)
0.999954 0.00959765i \(-0.00305507\pi\)
\(578\) −3.13844 + 8.62281i −0.130542 + 0.358661i
\(579\) 10.4262 + 14.7003i 0.433298 + 0.610925i
\(580\) 0.0551425 + 0.151503i 0.00228967 + 0.00629081i
\(581\) −18.7990 26.1469i −0.779913 1.08476i
\(582\) −9.82610 13.8542i −0.407305 0.574276i
\(583\) −2.51046 + 2.10653i −0.103973 + 0.0872434i
\(584\) −4.34808 7.53110i −0.179925 0.311639i
\(585\) 39.7737 + 13.9346i 1.64444 + 0.576123i
\(586\) −6.55628 3.78527i −0.270838 0.156368i
\(587\) −10.1800 + 8.54200i −0.420172 + 0.352566i −0.828228 0.560391i \(-0.810651\pi\)
0.408057 + 0.912957i \(0.366207\pi\)
\(588\) −0.115660 + 0.176590i −0.00476974 + 0.00728243i
\(589\) −1.39019 + 7.88415i −0.0572817 + 0.324861i
\(590\) −18.2438 3.21688i −0.751087 0.132437i
\(591\) −17.4705 17.2606i −0.718639 0.710008i
\(592\) −19.7320 + 16.5571i −0.810980 + 0.680493i
\(593\) −6.07625 10.5244i −0.249522 0.432184i 0.713872 0.700277i \(-0.246940\pi\)
−0.963393 + 0.268093i \(0.913607\pi\)
\(594\) 21.9102 15.9412i 0.898987 0.654075i
\(595\) 4.89626 + 17.4013i 0.200727 + 0.713383i
\(596\) 0.0662626 0.182055i 0.00271422 0.00745726i
\(597\) −24.7874 24.4896i −1.01448 1.00229i
\(598\) 2.24548 + 6.16941i 0.0918245 + 0.252286i
\(599\) 19.6946 23.4711i 0.804700 0.959004i −0.195062 0.980791i \(-0.562491\pi\)
0.999763 + 0.0217865i \(0.00693540\pi\)
\(600\) 2.68161 + 0.218294i 0.109476 + 0.00891181i
\(601\) −0.739101 0.880827i −0.0301486 0.0359297i 0.750759 0.660576i \(-0.229688\pi\)
−0.780908 + 0.624646i \(0.785243\pi\)
\(602\) −6.83493 + 26.8442i −0.278571 + 1.09409i
\(603\) 11.1507 + 29.5216i 0.454093 + 1.20221i
\(604\) −0.351588 −0.0143059
\(605\) −5.38441 1.95976i −0.218907 0.0796758i
\(606\) −7.39631 + 5.24583i −0.300454 + 0.213097i
\(607\) 1.93858 2.31031i 0.0786845 0.0937725i −0.725266 0.688469i \(-0.758283\pi\)
0.803950 + 0.594696i \(0.202728\pi\)
\(608\) 0.493061 0.179460i 0.0199963 0.00727805i
\(609\) 15.6412 + 12.6383i 0.633813 + 0.512129i
\(610\) 3.83735 + 21.7627i 0.155370 + 0.881145i
\(611\) 39.9137i 1.61473i
\(612\) −0.166889 0.0273521i −0.00674609 0.00110564i
\(613\) −40.0911 −1.61927 −0.809633 0.586937i \(-0.800334\pi\)
−0.809633 + 0.586937i \(0.800334\pi\)
\(614\) 10.3424 + 3.76433i 0.417386 + 0.151916i
\(615\) −33.5477 23.1896i −1.35277 0.935093i
\(616\) 11.4470 25.3703i 0.461213 1.02220i
\(617\) 6.57249 7.83278i 0.264598 0.315336i −0.617344 0.786693i \(-0.711791\pi\)
0.881942 + 0.471357i \(0.156236\pi\)
\(618\) 10.6378 10.7671i 0.427914 0.433116i
\(619\) 25.0122 + 29.8084i 1.00533 + 1.19810i 0.980117 + 0.198419i \(0.0635805\pi\)
0.0252085 + 0.999682i \(0.491975\pi\)
\(620\) 0.0478139 + 0.0276054i 0.00192025 + 0.00110866i
\(621\) 2.14122 + 2.94298i 0.0859243 + 0.118098i
\(622\) 17.4637i 0.700229i
\(623\) 10.3890 5.00330i 0.416228 0.200453i
\(624\) 11.5652 44.2292i 0.462980 1.77059i
\(625\) −3.81449 + 21.6331i −0.152580 + 0.865322i
\(626\) 7.64526 + 6.41513i 0.305566 + 0.256400i
\(627\) −28.1117 19.4319i −1.12267 0.776037i
\(628\) 0.0291338 0.0800445i 0.00116257 0.00319412i
\(629\) −10.5172 18.2163i −0.419349 0.726333i
\(630\) −21.1233 + 10.4891i −0.841571 + 0.417897i
\(631\) 5.94429 10.2958i 0.236639 0.409870i −0.723109 0.690734i \(-0.757288\pi\)
0.959748 + 0.280864i \(0.0906210\pi\)
\(632\) −17.3820 20.7151i −0.691420 0.824002i
\(633\) −5.78771 + 0.541613i −0.230041 + 0.0215272i
\(634\) 4.13850 23.4706i 0.164361 0.932137i
\(635\) −3.09825 2.59974i −0.122950 0.103168i
\(636\) 0.00248637 + 0.0265695i 9.85909e−5 + 0.00105355i
\(637\) 34.9383 30.8352i 1.38430 1.22173i
\(638\) −19.8167 11.4412i −0.784550 0.452960i
\(639\) 13.2751 0.160413i 0.525156 0.00634585i
\(640\) 23.5583i 0.931222i
\(641\) 49.2008 8.67542i 1.94331 0.342659i 0.943373 0.331734i \(-0.107634\pi\)
0.999940 0.0109243i \(-0.00347739\pi\)
\(642\) 5.73249 + 3.96254i 0.226243 + 0.156389i
\(643\) 7.32572 + 1.29172i 0.288898 + 0.0509406i 0.316219 0.948686i \(-0.397586\pi\)
−0.0273209 + 0.999627i \(0.508698\pi\)
\(644\) 0.0294098 + 0.0132696i 0.00115891 + 0.000522896i
\(645\) 19.1014 19.3336i 0.752118 0.761261i
\(646\) −4.21758 23.9191i −0.165938 0.941083i
\(647\) 9.06934 15.7086i 0.356553 0.617567i −0.630830 0.775921i \(-0.717285\pi\)
0.987382 + 0.158354i \(0.0506187\pi\)
\(648\) −0.617762 25.5580i −0.0242680 1.00401i
\(649\) −19.9962 + 11.5448i −0.784919 + 0.453173i
\(650\) −4.81662 1.75310i −0.188923 0.0687624i
\(651\) 6.88502 0.127554i 0.269845 0.00499923i
\(652\) 0.125004 + 0.104891i 0.00489555 + 0.00410786i
\(653\) −7.59970 20.8800i −0.297399 0.817097i −0.994933 0.100545i \(-0.967941\pi\)
0.697533 0.716552i \(-0.254281\pi\)
\(654\) 13.6945 + 1.11479i 0.535499 + 0.0435917i
\(655\) 3.19081 + 18.0960i 0.124675 + 0.707068i
\(656\) −22.1196 + 38.3123i −0.863625 + 1.49584i
\(657\) 4.68784 + 7.89763i 0.182890 + 0.308116i
\(658\) −15.9899 15.5956i −0.623350 0.607979i
\(659\) 21.2896 3.75393i 0.829324 0.146232i 0.257157 0.966370i \(-0.417214\pi\)
0.572167 + 0.820137i \(0.306103\pi\)
\(660\) −0.192235 + 0.136343i −0.00748274 + 0.00530713i
\(661\) 4.72263 + 0.832727i 0.183689 + 0.0323893i 0.264736 0.964321i \(-0.414715\pi\)
−0.0810468 + 0.996710i \(0.525826\pi\)
\(662\) 20.0531 + 3.53590i 0.779386 + 0.137427i
\(663\) 33.9293 + 15.5726i 1.31770 + 0.604790i
\(664\) 34.0499 6.00391i 1.32139 0.232997i
\(665\) 21.2939 + 20.7688i 0.825743 + 0.805381i
\(666\) 20.8076 17.8925i 0.806277 0.693319i
\(667\) 1.53678 2.66178i 0.0595043 0.103065i
\(668\) 0.0260407 + 0.147684i 0.00100754 + 0.00571407i
\(669\) −9.88414 + 14.2991i −0.382143 + 0.552835i
\(670\) 10.6901 + 29.3707i 0.412993 + 1.13469i
\(671\) 21.0992 + 17.7044i 0.814527 + 0.683469i
\(672\) −0.232865 0.386614i −0.00898296 0.0149140i
\(673\) −41.8330 15.2260i −1.61255 0.586918i −0.630604 0.776105i \(-0.717193\pi\)
−0.981941 + 0.189186i \(0.939415\pi\)
\(674\) 19.3538 11.1739i 0.745480 0.430403i
\(675\) −2.83467 0.196307i −0.109106 0.00755584i
\(676\) 0.272620 0.472192i 0.0104854 0.0181612i
\(677\) −6.96679 39.5107i −0.267756 1.51852i −0.761072 0.648668i \(-0.775327\pi\)
0.493316 0.869850i \(-0.335785\pi\)
\(678\) 5.92710 + 21.5975i 0.227629 + 0.829445i
\(679\) 16.7958 + 7.57824i 0.644564 + 0.290826i
\(680\) −19.1135 3.37022i −0.732968 0.129242i
\(681\) −2.49427 + 30.6406i −0.0955805 + 1.17415i
\(682\) −7.71686 + 1.36069i −0.295494 + 0.0521035i
\(683\) 33.0102i 1.26310i 0.775335 + 0.631550i \(0.217581\pi\)
−0.775335 + 0.631550i \(0.782419\pi\)
\(684\) −0.260324 + 0.0983282i −0.00995373 + 0.00375967i
\(685\) −12.7508 7.36168i −0.487183 0.281275i
\(686\) −1.29860 + 26.0450i −0.0495808 + 0.994402i
\(687\) 20.5645 + 9.43853i 0.784583 + 0.360102i
\(688\) −22.5844 18.9506i −0.861023 0.722484i
\(689\) 1.02293 5.80135i 0.0389707 0.221014i
\(690\) 2.08538 + 2.94027i 0.0793892 + 0.111934i
\(691\) −1.88171 2.24253i −0.0715836 0.0853100i 0.729064 0.684445i \(-0.239956\pi\)
−0.800648 + 0.599135i \(0.795511\pi\)
\(692\) −0.0737660 + 0.127766i −0.00280416 + 0.00485695i
\(693\) −11.7647 + 26.9380i −0.446904 + 1.02329i
\(694\) −3.61915 6.26854i −0.137381 0.237951i
\(695\) −7.59239 + 20.8599i −0.287996 + 0.791262i
\(696\) −19.5117 + 9.24237i −0.739589 + 0.350331i
\(697\) −27.6742 23.2214i −1.04823 0.879574i
\(698\) 2.72459 15.4519i 0.103127 0.584864i
\(699\) −31.6887 + 8.69649i −1.19858 + 0.328931i
\(700\) −0.0226952 + 0.0109299i −0.000857797 + 0.000413110i
\(701\) 6.39386i 0.241493i 0.992683 + 0.120746i \(0.0385288\pi\)
−0.992683 + 0.120746i \(0.961471\pi\)
\(702\) −11.7512 + 47.2668i −0.443521 + 1.78397i
\(703\) −29.9744 17.3058i −1.13051 0.652699i
\(704\) 19.2070 + 22.8900i 0.723890 + 0.862699i
\(705\) 5.79972 + 21.1333i 0.218430 + 0.795927i
\(706\) −2.78796 + 3.32257i −0.104926 + 0.125046i
\(707\) 4.04577 8.96673i 0.152157 0.337229i
\(708\) −0.0152548 + 0.187396i −0.000573309 + 0.00704276i
\(709\) 33.6905 + 12.2623i 1.26527 + 0.460521i 0.885535 0.464573i \(-0.153792\pi\)
0.379737 + 0.925094i \(0.376014\pi\)
\(710\) 13.1492 0.493481
\(711\) 18.6204 + 21.6541i 0.698319 + 0.812092i
\(712\) 12.3803i 0.463970i
\(713\) −0.182768 1.03653i −0.00684472 0.0388184i
\(714\) −19.4958 + 7.50772i −0.729614 + 0.280969i
\(715\) 48.8882 17.7938i 1.82831 0.665452i
\(716\) 0.0541195 0.0644971i 0.00202254 0.00241037i
\(717\) 33.4394 + 15.3478i 1.24882 + 0.573173i
\(718\) −28.9856 10.5499i −1.08173 0.393718i
\(719\) −35.6795 −1.33062 −0.665311 0.746566i \(-0.731701\pi\)
−0.665311 + 0.746566i \(0.731701\pi\)
\(720\) −0.303288 25.0988i −0.0113029 0.935378i
\(721\) −4.05154 + 15.9125i −0.150887 + 0.592611i
\(722\) −8.49278 10.1213i −0.316069 0.376676i
\(723\) −11.6054 + 16.7892i −0.431609 + 0.624397i
\(724\) −0.0510798 + 0.0608745i −0.00189836 + 0.00226238i
\(725\) 0.820714 + 2.25489i 0.0304805 + 0.0837446i
\(726\) 1.67525 6.40668i 0.0621742 0.237774i
\(727\) 0.773622 2.12551i 0.0286921 0.0788308i −0.924520 0.381135i \(-0.875533\pi\)
0.953212 + 0.302304i \(0.0977557\pi\)
\(728\) 13.5512 + 48.1610i 0.502242 + 1.78497i
\(729\) 0.978522 + 26.9823i 0.0362415 + 0.999343i
\(730\) 4.54818 + 7.87768i 0.168336 + 0.291566i
\(731\) 18.4426 15.4752i 0.682125 0.572371i
\(732\) 0.216283 0.0593557i 0.00799405 0.00219385i
\(733\) 15.8797 + 2.80002i 0.586530 + 0.103421i 0.459035 0.888418i \(-0.348195\pi\)
0.127495 + 0.991839i \(0.459306\pi\)
\(734\) −1.61703 + 9.17065i −0.0596858 + 0.338495i
\(735\) 14.0184 21.4032i 0.517077 0.789471i
\(736\) −0.0528441 + 0.0443414i −0.00194786 + 0.00163445i
\(737\) 33.7374 + 19.4783i 1.24273 + 0.717492i
\(738\) 23.0711 41.0992i 0.849258 1.51288i
\(739\) −12.2994 21.3033i −0.452442 0.783653i 0.546095 0.837723i \(-0.316114\pi\)
−0.998537 + 0.0540705i \(0.982780\pi\)
\(740\) −0.182850 + 0.153429i −0.00672170 + 0.00564018i
\(741\) 61.1620 5.72352i 2.24684 0.210259i
\(742\) 1.92439 + 2.67658i 0.0706467 + 0.0982602i
\(743\) 8.41237 + 23.1128i 0.308620 + 0.847926i 0.992926 + 0.118732i \(0.0378828\pi\)
−0.684307 + 0.729194i \(0.739895\pi\)
\(744\) −3.08403 + 6.71941i −0.113066 + 0.246346i
\(745\) −8.03125 + 22.0657i −0.294242 + 0.808424i
\(746\) 30.0356 17.3411i 1.09968 0.634902i
\(747\) −35.8813 + 6.77486i −1.31283 + 0.247879i
\(748\) −0.180799 + 0.104384i −0.00661066 + 0.00381667i
\(749\) −7.53893 0.564844i −0.275467 0.0206389i
\(750\) −28.4526 2.31616i −1.03894 0.0845741i
\(751\) 34.3971 12.5195i 1.25517 0.456843i 0.373022 0.927822i \(-0.378322\pi\)
0.882144 + 0.470979i \(0.156099\pi\)
\(752\) 22.3386 8.13059i 0.814605 0.296492i
\(753\) −33.3358 + 33.7411i −1.21482 + 1.22959i
\(754\) 40.5070 7.14247i 1.47518 0.260114i
\(755\) 42.6137 1.55087
\(756\) 0.125967 + 0.203532i 0.00458138 + 0.00740237i
\(757\) −38.6682 −1.40542 −0.702709 0.711477i \(-0.748027\pi\)
−0.702709 + 0.711477i \(0.748027\pi\)
\(758\) −2.86626 + 0.505399i −0.104107 + 0.0183569i
\(759\) 4.34672 + 1.13660i 0.157776 + 0.0412559i
\(760\) −30.0099 + 10.9227i −1.08857 + 0.396208i
\(761\) 45.3555 16.5080i 1.64413 0.598416i 0.656380 0.754431i \(-0.272087\pi\)
0.987755 + 0.156015i \(0.0498647\pi\)
\(762\) 2.65782 3.84499i 0.0962827 0.139289i
\(763\) −13.4295 + 6.46757i −0.486181 + 0.234142i
\(764\) 0.155936 0.0900299i 0.00564158 0.00325717i
\(765\) 20.2275 + 3.31517i 0.731328 + 0.119860i
\(766\) −8.43249 + 4.86850i −0.304678 + 0.175906i
\(767\) 14.1954 39.0014i 0.512565 1.40826i
\(768\) 0.720551 0.0674290i 0.0260007 0.00243314i
\(769\) 16.2750 + 44.7151i 0.586891 + 1.61247i 0.776155 + 0.630543i \(0.217168\pi\)
−0.189264 + 0.981926i \(0.560610\pi\)
\(770\) −11.9738 + 26.5378i −0.431506 + 0.956356i
\(771\) 11.5394 25.1417i 0.415580 0.905457i
\(772\) 0.138779 0.116450i 0.00499477 0.00419111i
\(773\) 1.79467 + 3.10845i 0.0645496 + 0.111803i 0.896494 0.443056i \(-0.146106\pi\)
−0.831944 + 0.554859i \(0.812772\pi\)
\(774\) 24.3034 + 19.8975i 0.873567 + 0.715202i
\(775\) 0.711639 + 0.410865i 0.0255628 + 0.0147587i
\(776\) −15.1549 + 12.7165i −0.544031 + 0.456496i
\(777\) −9.66242 + 28.1596i −0.346637 + 1.01022i
\(778\) 3.30367 18.7360i 0.118442 0.671719i
\(779\) −58.5413 10.3224i −2.09746 0.369839i
\(780\) 0.107171 0.409858i 0.00383735 0.0146753i
\(781\) 12.5547 10.5346i 0.449242 0.376959i
\(782\) 1.59658 + 2.76535i 0.0570935 + 0.0988888i
\(783\) 20.4871 10.0093i 0.732150 0.357702i
\(784\) −24.3747 13.2727i −0.870525 0.474027i
\(785\) −3.53112 + 9.70167i −0.126031 + 0.346267i
\(786\) −20.4788 + 5.62011i −0.730456 + 0.200463i
\(787\) 10.6009 + 29.1257i 0.377881 + 1.03822i 0.972233 + 0.234014i \(0.0751863\pi\)
−0.594352 + 0.804205i \(0.702591\pi\)
\(788\) −0.158686 + 0.189114i −0.00565294 + 0.00673692i
\(789\) −21.3919 45.1608i −0.761573 1.60777i
\(790\) 18.1819 + 21.6684i 0.646885 + 0.770927i
\(791\) −17.3933 16.9644i −0.618434 0.603184i
\(792\) −20.5769 23.9294i −0.731168 0.850292i
\(793\) −49.5098 −1.75814
\(794\) −28.4913 10.3700i −1.01112 0.368017i
\(795\) −0.301356 3.22031i −0.0106880 0.114213i
\(796\) −0.225146 + 0.268318i −0.00798007 + 0.00951028i
\(797\) −18.1049 + 6.58966i −0.641310 + 0.233418i −0.642147 0.766582i \(-0.721956\pi\)
0.000836476 1.00000i \(0.499734\pi\)
\(798\) −21.6051 + 26.7386i −0.764812 + 0.946535i
\(799\) 3.37096 + 19.1177i 0.119256 + 0.676335i
\(800\) 0.0538568i 0.00190413i
\(801\) −0.157983 13.0740i −0.00558206 0.461948i
\(802\) −37.2521 −1.31542
\(803\) 10.6538 + 3.87768i 0.375965 + 0.136840i
\(804\) 0.286682 0.135797i 0.0101105 0.00478918i
\(805\) −3.56456 1.60832i −0.125634 0.0566859i
\(806\) 9.05389 10.7900i 0.318910 0.380062i
\(807\) 13.6773 + 3.57640i 0.481464 + 0.125895i
\(808\) 6.78892 + 8.09072i 0.238833 + 0.284630i
\(809\) 10.9220 + 6.30585i 0.383999 + 0.221702i 0.679557 0.733623i \(-0.262172\pi\)
−0.295558 + 0.955325i \(0.595506\pi\)
\(810\) 0.646192 + 26.7341i 0.0227049 + 0.939342i
\(811\) 43.6085i 1.53130i −0.643256 0.765652i \(-0.722417\pi\)
0.643256 0.765652i \(-0.277583\pi\)
\(812\) 0.113866 0.167017i 0.00399592 0.00586114i
\(813\) −14.4351 14.2617i −0.506262 0.500181i
\(814\) 5.88270 33.3624i 0.206188 1.16935i
\(815\) −15.1510 12.7132i −0.530715 0.445323i
\(816\) 1.80403 22.1615i 0.0631538 0.775808i
\(817\) 13.5491 37.2258i 0.474023 1.30237i
\(818\) 17.6575 + 30.5837i 0.617380 + 1.06933i
\(819\) −14.9252 50.6868i −0.521528 1.77114i
\(820\) −0.204975 + 0.355028i −0.00715805 + 0.0123981i
\(821\) 17.6656 + 21.0530i 0.616532 + 0.734755i 0.980470 0.196669i \(-0.0630123\pi\)
−0.363938 + 0.931423i \(0.618568\pi\)
\(822\) 7.09785 15.4646i 0.247566 0.539391i
\(823\) −0.890725 + 5.05155i −0.0310487 + 0.176086i −0.996389 0.0849098i \(-0.972940\pi\)
0.965340 + 0.260996i \(0.0840509\pi\)
\(824\) −13.5049 11.3320i −0.470467 0.394769i
\(825\) −2.86113 + 2.02926i −0.0996118 + 0.0706496i
\(826\) 10.0778 + 20.9260i 0.350653 + 0.728108i
\(827\) 22.7209 + 13.1179i 0.790082 + 0.456154i 0.839991 0.542600i \(-0.182560\pi\)
−0.0499094 + 0.998754i \(0.515893\pi\)
\(828\) 0.0277394 0.0238532i 0.000964011 0.000828956i
\(829\) 15.8622i 0.550916i 0.961313 + 0.275458i \(0.0888295\pi\)
−0.961313 + 0.275458i \(0.911171\pi\)
\(830\) −35.6169 + 6.28021i −1.23628 + 0.217989i
\(831\) −14.8975 + 7.05669i −0.516788 + 0.244794i
\(832\) −52.8958 9.32696i −1.83383 0.323354i
\(833\) 14.1304 17.7201i 0.489588 0.613964i
\(834\) −24.8204 6.49013i −0.859459 0.224735i
\(835\) −3.15622 17.8998i −0.109225 0.619448i
\(836\) −0.171761 + 0.297499i −0.00594049 + 0.0102892i
\(837\) 3.17110 7.13530i 0.109609 0.246632i
\(838\) 29.0435 16.7682i 1.00329 0.579249i
\(839\) 43.7933 + 15.9395i 1.51191 + 0.550291i 0.959113 0.283023i \(-0.0913373\pi\)
0.552800 + 0.833314i \(0.313560\pi\)
\(840\) 14.1732 + 23.5310i 0.489021 + 0.811897i
\(841\) 7.46447 + 6.26343i 0.257395 + 0.215980i
\(842\) 3.72275 + 10.2282i 0.128294 + 0.352486i
\(843\) −15.4592 32.6362i −0.532445 1.12405i
\(844\) 0.0101468 + 0.0575454i 0.000349268 + 0.00198079i
\(845\) −33.0425 + 57.2312i −1.13670 + 1.96881i
\(846\) −23.6929 + 8.94917i −0.814578 + 0.307679i
\(847\) 1.94583 + 6.91547i 0.0668596 + 0.237618i
\(848\) −3.45523 + 0.609251i −0.118653 + 0.0209218i
\(849\) −0.237633 2.53937i −0.00815555 0.0871508i
\(850\) −2.45510 0.432901i −0.0842094 0.0148484i
\(851\) 4.48125 + 0.790165i 0.153615 + 0.0270865i
\(852\) −0.0124342 0.132873i −0.000425989 0.00455215i
\(853\) 33.3113 5.87368i 1.14056 0.201111i 0.428708 0.903443i \(-0.358969\pi\)
0.711850 + 0.702332i \(0.247858\pi\)
\(854\) 19.3451 19.8342i 0.661976 0.678712i
\(855\) 31.5521 11.9177i 1.07906 0.407577i
\(856\) 4.05842 7.02939i 0.138714 0.240260i
\(857\) −7.64328 43.3472i −0.261089 1.48071i −0.779944 0.625849i \(-0.784753\pi\)
0.518855 0.854862i \(-0.326359\pi\)
\(858\) 25.7390 + 54.3379i 0.878715 + 1.85507i
\(859\) −15.9018 43.6898i −0.542562 1.49068i −0.843551 0.537048i \(-0.819539\pi\)
0.300990 0.953627i \(-0.402683\pi\)
\(860\) −0.209283 0.175609i −0.00713648 0.00598822i
\(861\) 0.947112 + 51.1226i 0.0322775 + 1.74225i
\(862\) 7.23046 + 2.63167i 0.246271 + 0.0896351i
\(863\) 6.24515 3.60564i 0.212587 0.122737i −0.389926 0.920846i \(-0.627499\pi\)
0.602513 + 0.798109i \(0.294166\pi\)
\(864\) −0.508918 + 0.0538349i −0.0173137 + 0.00183150i
\(865\) 8.94069 15.4857i 0.303992 0.526530i
\(866\) −8.69024 49.2848i −0.295306 1.67477i
\(867\) −10.9206 2.85556i −0.370882 0.0969798i
\(868\) −0.00689330 0.0688770i −0.000233974 0.00233784i
\(869\) 34.7197 + 6.12203i 1.17779 + 0.207676i
\(870\) 20.4096 9.66771i 0.691951 0.327766i
\(871\) −68.9621 + 12.1599i −2.33669 + 0.412022i
\(872\) 16.0035i 0.541947i
\(873\) 15.8419 13.6225i 0.536167 0.461051i
\(874\) 4.55031 + 2.62712i 0.153916 + 0.0888637i
\(875\) 27.9020 13.4374i 0.943259 0.454268i
\(876\) 0.0753031 0.0534087i 0.00254425 0.00180451i
\(877\) −34.5295 28.9737i −1.16598 0.978372i −0.166008 0.986124i \(-0.553088\pi\)
−0.999970 + 0.00775269i \(0.997532\pi\)
\(878\) 0.992333 5.62780i 0.0334896 0.189929i
\(879\) 3.88461 8.46371i 0.131025 0.285474i
\(880\) −19.9175 23.7367i −0.671417 0.800164i
\(881\) −17.2527 + 29.8826i −0.581259 + 1.00677i 0.414071 + 0.910245i \(0.364106\pi\)
−0.995330 + 0.0965261i \(0.969227\pi\)
\(882\) 26.1375 + 13.8258i 0.880095 + 0.465540i
\(883\) −19.2076 33.2686i −0.646388 1.11958i −0.983979 0.178284i \(-0.942945\pi\)
0.337591 0.941293i \(-0.390388\pi\)
\(884\) 0.128350 0.352638i 0.00431687 0.0118605i
\(885\) 1.84893 22.7130i 0.0621511 0.763489i
\(886\) −8.94004 7.50158i −0.300346 0.252021i
\(887\) −4.68652 + 26.5786i −0.157358 + 0.892422i 0.799240 + 0.601012i \(0.205236\pi\)
−0.956598 + 0.291410i \(0.905876\pi\)
\(888\) −22.7380 22.4649i −0.763036 0.753872i
\(889\) −0.378862 + 5.05664i −0.0127066 + 0.169594i
\(890\) 12.9500i 0.434085i
\(891\) 22.0353 + 25.0077i 0.738211 + 0.837789i
\(892\) 0.151324 + 0.0873671i 0.00506671 + 0.00292527i
\(893\) 20.5325 + 24.4697i 0.687093 + 0.818846i
\(894\) −26.2550 6.86527i −0.878099 0.229609i
\(895\) −6.55946 + 7.81726i −0.219259 + 0.261302i
\(896\) 23.9815 17.2421i 0.801165 0.576018i
\(897\) −7.29868 + 3.45727i −0.243696 + 0.115435i
\(898\) −38.3904 13.9730i −1.28110 0.466284i
\(899\) −6.59404 −0.219923
\(900\) 0.000345119 0.0285606i 1.15040e−5 0.000952021i
\(901\) 2.86510i 0.0954503i
\(902\) −10.1034 57.2992i −0.336406 1.90785i
\(903\) −33.6611 5.29445i −1.12017 0.176188i
\(904\) 24.5126 8.92187i 0.815278 0.296737i
\(905\) 6.19104 7.37819i 0.205797 0.245259i
\(906\) 4.58860 + 49.0341i 0.152446 + 1.62905i
\(907\) 34.2090 + 12.4511i 1.13589 + 0.413431i 0.840428 0.541923i \(-0.182304\pi\)
0.295464 + 0.955354i \(0.404526\pi\)
\(908\) 0.309023 0.0102553
\(909\) −7.27259 8.45746i −0.241217 0.280516i
\(910\) −14.1749 50.3774i −0.469892 1.66999i
\(911\) 17.9098 + 21.3441i 0.593378 + 0.707160i 0.976251 0.216640i \(-0.0695099\pi\)
−0.382873 + 0.923801i \(0.625065\pi\)
\(912\) −15.6623 33.0648i −0.518629 1.09488i
\(913\) −28.9750 + 34.5311i −0.958933 + 1.14281i
\(914\) 3.15902 + 8.67933i 0.104491 + 0.287087i
\(915\) −26.2142 + 7.19411i −0.866616 + 0.237830i
\(916\) 0.0777926 0.213733i 0.00257034 0.00706195i
\(917\) 16.0857 16.4924i 0.531197 0.544627i
\(918\) −1.63657 + 23.6321i −0.0540150 + 0.779976i
\(919\) 24.7371 + 42.8459i 0.816001 + 1.41336i 0.908607 + 0.417653i \(0.137147\pi\)
−0.0926055 + 0.995703i \(0.529520\pi\)
\(920\) 3.21632 2.69881i 0.106039 0.0889772i
\(921\) −3.42503 + 13.0984i −0.112859 + 0.431608i
\(922\) −30.6776 5.40930i −1.01031 0.178146i
\(923\) −5.11565 + 29.0123i −0.168384 + 0.954950i
\(924\) 0.279487 + 0.0959004i 0.00919445 + 0.00315489i
\(925\) −2.72145 + 2.28357i −0.0894807 + 0.0750832i
\(926\) −20.1233 11.6182i −0.661293 0.381798i
\(927\) 14.4063 + 11.7947i 0.473166 + 0.387388i
\(928\) 0.216089 + 0.374278i 0.00709348 + 0.0122863i
\(929\) −23.8911 + 20.0470i −0.783840 + 0.657720i −0.944213 0.329337i \(-0.893175\pi\)
0.160372 + 0.987057i \(0.448730\pi\)
\(930\) 3.22595 7.02864i 0.105783 0.230478i
\(931\) 5.55711 36.8770i 0.182127 1.20859i
\(932\) 0.112975 + 0.310396i 0.00370062 + 0.0101674i
\(933\) −21.3888 + 2.00156i −0.700238 + 0.0655281i
\(934\) −0.686858 + 1.88713i −0.0224747 + 0.0617486i
\(935\) 21.9134 12.6517i 0.716646 0.413756i
\(936\) 55.9831 + 9.17530i 1.82987 + 0.299904i
\(937\) −15.9634 + 9.21646i −0.521501 + 0.301089i −0.737548 0.675294i \(-0.764017\pi\)
0.216048 + 0.976383i \(0.430683\pi\)
\(938\) 22.0744 32.3783i 0.720754 1.05719i
\(939\) −6.98076 + 10.0989i −0.227808 + 0.329564i
\(940\) 0.207005 0.0753435i 0.00675175 0.00245743i
\(941\) −21.6113 + 7.86586i −0.704507 + 0.256420i −0.669334 0.742961i \(-0.733421\pi\)
−0.0351733 + 0.999381i \(0.511198\pi\)
\(942\) −11.5436 3.01847i −0.376111 0.0983472i
\(943\) 7.69644 1.35709i 0.250630 0.0441929i
\(944\) −24.7197 −0.804558
\(945\) −15.2677 24.6687i −0.496657 0.802474i
\(946\) 38.7744 1.26066
\(947\) 17.9325 3.16199i 0.582728 0.102751i 0.125490 0.992095i \(-0.459950\pi\)
0.457238 + 0.889344i \(0.348839\pi\)
\(948\) 0.201766 0.204219i 0.00655305 0.00663271i
\(949\) −19.1507 + 6.97027i −0.621657 + 0.226265i
\(950\) −3.85473 + 1.40301i −0.125064 + 0.0455196i
\(951\) 29.2202 + 2.37864i 0.947530 + 0.0771327i
\(952\) 10.5582 + 21.9235i 0.342194 + 0.710544i
\(953\) −20.4233 + 11.7914i −0.661576 + 0.381961i −0.792877 0.609381i \(-0.791418\pi\)
0.131301 + 0.991343i \(0.458085\pi\)
\(954\) 3.67306 0.693521i 0.118920 0.0224536i
\(955\) −18.9000 + 10.9119i −0.611590 + 0.353102i
\(956\) 0.126497 0.347547i 0.00409120 0.0112405i
\(957\) 11.7414 25.5820i 0.379547 0.826948i
\(958\) −11.5750 31.8020i −0.373971 1.02748i
\(959\) 1.83827 + 18.3678i 0.0593610 + 0.593128i
\(960\) −29.3623 + 2.74772i −0.947665 + 0.0886823i
\(961\) 22.0176 18.4749i 0.710245 0.595966i
\(962\) 30.4477 + 52.7370i 0.981674 + 1.70031i
\(963\) −4.19614 + 7.47508i −0.135219 + 0.240881i
\(964\) 0.177676 + 0.102581i 0.00572256 + 0.00330392i
\(965\) −16.8205 + 14.1141i −0.541472 + 0.454349i
\(966\) 1.46681 4.27480i 0.0471940 0.137540i
\(967\) −6.40078 + 36.3006i −0.205835 + 1.16735i 0.690285 + 0.723537i \(0.257485\pi\)
−0.896120 + 0.443811i \(0.853626\pi\)
\(968\) −7.59592 1.33936i −0.244142 0.0430488i
\(969\) 28.8117 7.90695i 0.925566 0.254008i
\(970\) 15.8524 13.3017i 0.508989 0.427092i
\(971\) 6.28287 + 10.8822i 0.201627 + 0.349228i 0.949053 0.315117i \(-0.102044\pi\)
−0.747426 + 0.664345i \(0.768711\pi\)
\(972\) 0.269537 0.0318102i 0.00864541 0.00102031i
\(973\) 26.7915 7.53842i 0.858895 0.241671i
\(974\) −17.1077 + 47.0029i −0.548165 + 1.50607i
\(975\) 1.59509 6.10013i 0.0510837 0.195360i
\(976\) 10.0854 + 27.7093i 0.322825 + 0.886953i
\(977\) 10.4107 12.4070i 0.333069 0.396936i −0.573354 0.819308i \(-0.694358\pi\)
0.906423 + 0.422372i \(0.138802\pi\)
\(978\) 12.9972 18.8026i 0.415604 0.601242i
\(979\) −10.3750 12.3645i −0.331588 0.395171i
\(980\) −0.225872 0.122994i −0.00721523 0.00392891i
\(981\) 0.204219 + 16.9003i 0.00652020 + 0.539585i
\(982\) 43.6791 1.39385
\(983\) −1.13238 0.412151i −0.0361172 0.0131456i 0.323898 0.946092i \(-0.395006\pi\)
−0.360016 + 0.932946i \(0.617229\pi\)
\(984\) −49.8929 22.8995i −1.59053 0.730009i
\(985\) 19.2332 22.9213i 0.612822 0.730333i
\(986\) 18.7986 6.84215i 0.598671 0.217898i
\(987\) 17.2682 21.3712i 0.549653 0.680253i
\(988\) −0.107227 0.608114i −0.00341134 0.0193467i
\(989\) 5.20818i 0.165610i
\(990\) 21.5238 + 25.0306i 0.684073 + 0.795524i
\(991\) −53.5562 −1.70127 −0.850635 0.525757i \(-0.823782\pi\)
−0.850635 + 0.525757i \(0.823782\pi\)
\(992\) 0.139071 + 0.0506179i 0.00441552 + 0.00160712i
\(993\) −2.03229 + 24.9655i −0.0644928 + 0.792256i
\(994\) −9.62380 13.3854i −0.305248 0.424560i
\(995\) 27.2884 32.5211i 0.865101 1.03099i
\(996\) 0.0971417 + 0.353970i 0.00307805 + 0.0112160i
\(997\) −1.75036 2.08600i −0.0554344 0.0660641i 0.737615 0.675222i \(-0.235952\pi\)
−0.793049 + 0.609158i \(0.791508\pi\)
\(998\) −44.4078 25.6388i −1.40570 0.811584i
\(999\) 24.2988 + 23.4336i 0.768780 + 0.741405i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 189.2.bd.a.185.7 yes 132
3.2 odd 2 567.2.bd.a.17.16 132
7.5 odd 6 189.2.ba.a.131.16 yes 132
21.5 even 6 567.2.ba.a.341.7 132
27.7 even 9 567.2.ba.a.143.7 132
27.20 odd 18 189.2.ba.a.101.16 132
189.47 even 18 inner 189.2.bd.a.47.7 yes 132
189.61 odd 18 567.2.bd.a.467.16 132
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.ba.a.101.16 132 27.20 odd 18
189.2.ba.a.131.16 yes 132 7.5 odd 6
189.2.bd.a.47.7 yes 132 189.47 even 18 inner
189.2.bd.a.185.7 yes 132 1.1 even 1 trivial
567.2.ba.a.143.7 132 27.7 even 9
567.2.ba.a.341.7 132 21.5 even 6
567.2.bd.a.17.16 132 3.2 odd 2
567.2.bd.a.467.16 132 189.61 odd 18