Properties

Label 322.2.i.d.197.2
Level $322$
Weight $2$
Character 322.197
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 197.2
Character \(\chi\) \(=\) 322.197
Dual form 322.2.i.d.85.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.654861 - 0.755750i) q^{2} +(0.124065 + 0.0797318i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(1.52064 - 3.32974i) q^{5} +(-0.0209881 - 0.145975i) q^{6} +(0.959493 + 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-1.23721 - 2.70911i) q^{9} +O(q^{10})\) \(q+(-0.654861 - 0.755750i) q^{2} +(0.124065 + 0.0797318i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(1.52064 - 3.32974i) q^{5} +(-0.0209881 - 0.145975i) q^{6} +(0.959493 + 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-1.23721 - 2.70911i) q^{9} +(-3.51226 + 1.03129i) q^{10} +(-3.04210 + 3.51077i) q^{11} +(-0.0965766 + 0.111455i) q^{12} +(4.26794 - 1.25318i) q^{13} +(-0.415415 - 0.909632i) q^{14} +(0.454145 - 0.291862i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-0.656964 - 4.56929i) q^{17} +(-1.23721 + 2.70911i) q^{18} +(-0.587506 + 4.08619i) q^{19} +(3.07944 + 1.97904i) q^{20} +(0.0965766 + 0.111455i) q^{21} +4.64541 q^{22} +(-0.962626 - 4.69823i) q^{23} +0.147477 q^{24} +(-5.50054 - 6.34796i) q^{25} +(-3.74200 - 2.40484i) q^{26} +(0.125472 - 0.872678i) q^{27} +(-0.415415 + 0.909632i) q^{28} +(-0.882438 - 6.13749i) q^{29} +(-0.517976 - 0.152092i) q^{30} +(5.96897 - 3.83602i) q^{31} +(0.415415 + 0.909632i) q^{32} +(-0.657338 + 0.193012i) q^{33} +(-3.02302 + 3.48875i) q^{34} +(2.39714 - 2.76645i) q^{35} +(2.85761 - 0.839070i) q^{36} +(4.28921 + 9.39205i) q^{37} +(3.47287 - 2.23188i) q^{38} +(0.629422 + 0.184815i) q^{39} +(-0.520949 - 3.62328i) q^{40} +(-3.95555 + 8.66144i) q^{41} +(0.0209881 - 0.145975i) q^{42} +(-5.20080 - 3.34235i) q^{43} +(-3.04210 - 3.51077i) q^{44} -10.9020 q^{45} +(-2.92030 + 3.80419i) q^{46} -3.87470 q^{47} +(-0.0965766 - 0.111455i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-1.19538 + 8.31406i) q^{50} +(0.282811 - 0.619270i) q^{51} +(0.633034 + 4.40285i) q^{52} +(12.7011 + 3.72937i) q^{53} +(-0.741693 + 0.476657i) q^{54} +(7.06401 + 15.4680i) q^{55} +(0.959493 - 0.281733i) q^{56} +(-0.398688 + 0.460111i) q^{57} +(-4.06053 + 4.68611i) q^{58} +(0.348995 - 0.102474i) q^{59} +(0.224259 + 0.491059i) q^{60} +(3.22536 - 2.07281i) q^{61} +(-6.80792 - 1.99899i) q^{62} +(-0.423849 - 2.94794i) q^{63} +(0.415415 - 0.909632i) q^{64} +(2.31725 - 16.1168i) q^{65} +(0.576333 + 0.370387i) q^{66} +(6.52258 + 7.52746i) q^{67} +4.61628 q^{68} +(0.255170 - 0.659638i) q^{69} -3.66054 q^{70} +(6.69179 + 7.72274i) q^{71} +(-2.50546 - 1.61016i) q^{72} +(-0.945748 + 6.57782i) q^{73} +(4.28921 - 9.39205i) q^{74} +(-0.176291 - 1.22613i) q^{75} +(-3.96099 - 1.16305i) q^{76} +(-3.90797 + 2.51150i) q^{77} +(-0.272510 - 0.596713i) q^{78} +(1.40017 - 0.411127i) q^{79} +(-2.39714 + 2.76645i) q^{80} +(-5.76587 + 6.65417i) q^{81} +(9.13621 - 2.68263i) q^{82} +(-0.634981 - 1.39041i) q^{83} +(-0.124065 + 0.0797318i) q^{84} +(-16.2136 - 4.76073i) q^{85} +(0.879819 + 6.11928i) q^{86} +(0.379874 - 0.831807i) q^{87} +(-0.661111 + 4.59813i) q^{88} +(7.67089 + 4.92978i) q^{89} +(7.13930 + 8.23919i) q^{90} +4.44813 q^{91} +(4.78740 - 0.284200i) q^{92} +1.04639 q^{93} +(2.53739 + 2.92830i) q^{94} +(12.7126 + 8.16988i) q^{95} +(-0.0209881 + 0.145975i) q^{96} +(-6.69969 + 14.6703i) q^{97} +(-0.142315 - 0.989821i) q^{98} +(13.2748 + 3.89783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9} - 2 q^{10} + 6 q^{11} + 2 q^{13} + 4 q^{14} - 3 q^{15} - 4 q^{16} - 13 q^{17} - 8 q^{18} - 22 q^{19} - 2 q^{20} - 16 q^{22} - 9 q^{23} + 22 q^{24} - 15 q^{25} - 9 q^{26} + 21 q^{27} + 4 q^{28} - 10 q^{29} - 14 q^{30} - 2 q^{31} - 4 q^{32} + 8 q^{33} - 2 q^{34} + 13 q^{35} - 8 q^{36} - 45 q^{37} + 11 q^{38} - 22 q^{39} + 9 q^{40} + 21 q^{41} + 31 q^{43} + 6 q^{44} + 2 q^{45} - 9 q^{46} + 64 q^{47} - 4 q^{49} + 7 q^{50} + 65 q^{51} + 2 q^{52} + 69 q^{53} + 21 q^{54} - 74 q^{55} + 4 q^{56} - 68 q^{57} + 12 q^{58} + 48 q^{59} - 3 q^{60} + 6 q^{61} - 13 q^{62} + 8 q^{63} - 4 q^{64} - 64 q^{65} - 69 q^{66} + 31 q^{67} - 2 q^{68} - 62 q^{69} + 2 q^{70} - 57 q^{71} - 19 q^{72} + 70 q^{73} - 45 q^{74} - 11 q^{75} + 22 q^{76} - 6 q^{77} + 33 q^{78} + 34 q^{79} - 13 q^{80} + 30 q^{81} - 12 q^{82} - 56 q^{83} - 17 q^{85} + 42 q^{86} - 3 q^{87} + 6 q^{88} + 16 q^{89} + 46 q^{90} - 46 q^{91} + 24 q^{92} + 48 q^{93} + 9 q^{94} - 42 q^{95} - 36 q^{97} - 4 q^{98} + 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654861 0.755750i −0.463056 0.534396i
\(3\) 0.124065 + 0.0797318i 0.0716290 + 0.0460332i 0.575965 0.817474i \(-0.304626\pi\)
−0.504336 + 0.863507i \(0.668263\pi\)
\(4\) −0.142315 + 0.989821i −0.0711574 + 0.494911i
\(5\) 1.52064 3.32974i 0.680052 1.48911i −0.182535 0.983199i \(-0.558430\pi\)
0.862588 0.505908i \(-0.168842\pi\)
\(6\) −0.0209881 0.145975i −0.00856835 0.0595942i
\(7\) 0.959493 + 0.281733i 0.362654 + 0.106485i
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) −1.23721 2.70911i −0.412403 0.903037i
\(10\) −3.51226 + 1.03129i −1.11068 + 0.326124i
\(11\) −3.04210 + 3.51077i −0.917227 + 1.05854i 0.0808612 + 0.996725i \(0.474233\pi\)
−0.998088 + 0.0618107i \(0.980313\pi\)
\(12\) −0.0965766 + 0.111455i −0.0278793 + 0.0321744i
\(13\) 4.26794 1.25318i 1.18371 0.347570i 0.370110 0.928988i \(-0.379320\pi\)
0.813605 + 0.581418i \(0.197502\pi\)
\(14\) −0.415415 0.909632i −0.111024 0.243109i
\(15\) 0.454145 0.291862i 0.117260 0.0753583i
\(16\) −0.959493 0.281733i −0.239873 0.0704331i
\(17\) −0.656964 4.56929i −0.159337 1.10822i −0.899858 0.436182i \(-0.856330\pi\)
0.740521 0.672033i \(-0.234579\pi\)
\(18\) −1.23721 + 2.70911i −0.291613 + 0.638544i
\(19\) −0.587506 + 4.08619i −0.134783 + 0.937437i 0.804417 + 0.594065i \(0.202478\pi\)
−0.939200 + 0.343371i \(0.888431\pi\)
\(20\) 3.07944 + 1.97904i 0.688584 + 0.442526i
\(21\) 0.0965766 + 0.111455i 0.0210747 + 0.0243215i
\(22\) 4.64541 0.990405
\(23\) −0.962626 4.69823i −0.200721 0.979648i
\(24\) 0.147477 0.0301035
\(25\) −5.50054 6.34796i −1.10011 1.26959i
\(26\) −3.74200 2.40484i −0.733867 0.471628i
\(27\) 0.125472 0.872678i 0.0241471 0.167947i
\(28\) −0.415415 + 0.909632i −0.0785061 + 0.171904i
\(29\) −0.882438 6.13749i −0.163865 1.13970i −0.891262 0.453488i \(-0.850180\pi\)
0.727398 0.686216i \(-0.240730\pi\)
\(30\) −0.517976 0.152092i −0.0945691 0.0277680i
\(31\) 5.96897 3.83602i 1.07206 0.688970i 0.119349 0.992852i \(-0.461919\pi\)
0.952710 + 0.303882i \(0.0982829\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) −0.657338 + 0.193012i −0.114428 + 0.0335991i
\(34\) −3.02302 + 3.48875i −0.518443 + 0.598315i
\(35\) 2.39714 2.76645i 0.405191 0.467616i
\(36\) 2.85761 0.839070i 0.476268 0.139845i
\(37\) 4.28921 + 9.39205i 0.705141 + 1.54404i 0.833624 + 0.552332i \(0.186262\pi\)
−0.128483 + 0.991712i \(0.541011\pi\)
\(38\) 3.47287 2.23188i 0.563374 0.362059i
\(39\) 0.629422 + 0.184815i 0.100788 + 0.0295941i
\(40\) −0.520949 3.62328i −0.0823693 0.572891i
\(41\) −3.95555 + 8.66144i −0.617753 + 1.35269i 0.299390 + 0.954131i \(0.403217\pi\)
−0.917143 + 0.398559i \(0.869510\pi\)
\(42\) 0.0209881 0.145975i 0.00323853 0.0225245i
\(43\) −5.20080 3.34235i −0.793114 0.509704i 0.0802478 0.996775i \(-0.474429\pi\)
−0.873362 + 0.487071i \(0.838065\pi\)
\(44\) −3.04210 3.51077i −0.458613 0.529268i
\(45\) −10.9020 −1.62518
\(46\) −2.92030 + 3.80419i −0.430575 + 0.560897i
\(47\) −3.87470 −0.565183 −0.282592 0.959240i \(-0.591194\pi\)
−0.282592 + 0.959240i \(0.591194\pi\)
\(48\) −0.0965766 0.111455i −0.0139396 0.0160872i
\(49\) 0.841254 + 0.540641i 0.120179 + 0.0772344i
\(50\) −1.19538 + 8.31406i −0.169052 + 1.17579i
\(51\) 0.282811 0.619270i 0.0396015 0.0867152i
\(52\) 0.633034 + 4.40285i 0.0877861 + 0.610565i
\(53\) 12.7011 + 3.72937i 1.74463 + 0.512268i 0.989652 0.143488i \(-0.0458318\pi\)
0.754973 + 0.655756i \(0.227650\pi\)
\(54\) −0.741693 + 0.476657i −0.100932 + 0.0648648i
\(55\) 7.06401 + 15.4680i 0.952511 + 2.08571i
\(56\) 0.959493 0.281733i 0.128218 0.0376481i
\(57\) −0.398688 + 0.460111i −0.0528076 + 0.0609432i
\(58\) −4.06053 + 4.68611i −0.533174 + 0.615316i
\(59\) 0.348995 0.102474i 0.0454353 0.0133410i −0.258936 0.965895i \(-0.583372\pi\)
0.304371 + 0.952553i \(0.401554\pi\)
\(60\) 0.224259 + 0.491059i 0.0289517 + 0.0633955i
\(61\) 3.22536 2.07281i 0.412965 0.265396i −0.317621 0.948218i \(-0.602884\pi\)
0.730585 + 0.682822i \(0.239247\pi\)
\(62\) −6.80792 1.99899i −0.864606 0.253871i
\(63\) −0.423849 2.94794i −0.0534000 0.371405i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) 2.31725 16.1168i 0.287419 1.99904i
\(66\) 0.576333 + 0.370387i 0.0709417 + 0.0455915i
\(67\) 6.52258 + 7.52746i 0.796860 + 0.919625i 0.998205 0.0598953i \(-0.0190767\pi\)
−0.201345 + 0.979520i \(0.564531\pi\)
\(68\) 4.61628 0.559806
\(69\) 0.255170 0.659638i 0.0307189 0.0794111i
\(70\) −3.66054 −0.437518
\(71\) 6.69179 + 7.72274i 0.794170 + 0.916521i 0.998046 0.0624759i \(-0.0198997\pi\)
−0.203877 + 0.978997i \(0.565354\pi\)
\(72\) −2.50546 1.61016i −0.295272 0.189760i
\(73\) −0.945748 + 6.57782i −0.110691 + 0.769876i 0.856559 + 0.516050i \(0.172598\pi\)
−0.967250 + 0.253826i \(0.918311\pi\)
\(74\) 4.28921 9.39205i 0.498610 1.09180i
\(75\) −0.176291 1.22613i −0.0203563 0.141581i
\(76\) −3.96099 1.16305i −0.454357 0.133411i
\(77\) −3.90797 + 2.51150i −0.445354 + 0.286212i
\(78\) −0.272510 0.596713i −0.0308557 0.0675645i
\(79\) 1.40017 0.411127i 0.157532 0.0462555i −0.202016 0.979382i \(-0.564749\pi\)
0.359547 + 0.933127i \(0.382931\pi\)
\(80\) −2.39714 + 2.76645i −0.268009 + 0.309299i
\(81\) −5.76587 + 6.65417i −0.640652 + 0.739352i
\(82\) 9.13621 2.68263i 1.00893 0.296247i
\(83\) −0.634981 1.39041i −0.0696982 0.152618i 0.871576 0.490260i \(-0.163098\pi\)
−0.941275 + 0.337642i \(0.890371\pi\)
\(84\) −0.124065 + 0.0797318i −0.0135366 + 0.00869946i
\(85\) −16.2136 4.76073i −1.75861 0.516374i
\(86\) 0.879819 + 6.11928i 0.0948733 + 0.659859i
\(87\) 0.379874 0.831807i 0.0407267 0.0891791i
\(88\) −0.661111 + 4.59813i −0.0704747 + 0.490162i
\(89\) 7.67089 + 4.92978i 0.813113 + 0.522556i 0.879871 0.475213i \(-0.157629\pi\)
−0.0667578 + 0.997769i \(0.521265\pi\)
\(90\) 7.13930 + 8.23919i 0.752548 + 0.868487i
\(91\) 4.44813 0.466290
\(92\) 4.78740 0.284200i 0.499121 0.0296299i
\(93\) 1.04639 0.108506
\(94\) 2.53739 + 2.92830i 0.261712 + 0.302032i
\(95\) 12.7126 + 8.16988i 1.30428 + 0.838212i
\(96\) −0.0209881 + 0.145975i −0.00214209 + 0.0148986i
\(97\) −6.69969 + 14.6703i −0.680250 + 1.48954i 0.182127 + 0.983275i \(0.441702\pi\)
−0.862378 + 0.506265i \(0.831026\pi\)
\(98\) −0.142315 0.989821i −0.0143760 0.0999871i
\(99\) 13.2748 + 3.89783i 1.33416 + 0.391746i
\(100\) 7.06616 4.54114i 0.706616 0.454114i
\(101\) 1.77957 + 3.89672i 0.177074 + 0.387738i 0.977269 0.212002i \(-0.0679982\pi\)
−0.800195 + 0.599739i \(0.795271\pi\)
\(102\) −0.653215 + 0.191801i −0.0646780 + 0.0189912i
\(103\) −3.90003 + 4.50088i −0.384282 + 0.443485i −0.914628 0.404296i \(-0.867516\pi\)
0.530346 + 0.847781i \(0.322062\pi\)
\(104\) 2.91290 3.36167i 0.285634 0.329639i
\(105\) 0.517976 0.152092i 0.0505493 0.0148426i
\(106\) −5.49896 12.0410i −0.534106 1.16953i
\(107\) 5.79661 3.72526i 0.560379 0.360134i −0.229583 0.973289i \(-0.573736\pi\)
0.789963 + 0.613155i \(0.210100\pi\)
\(108\) 0.845939 + 0.248390i 0.0814005 + 0.0239013i
\(109\) −1.87867 13.0664i −0.179944 1.25153i −0.856889 0.515501i \(-0.827606\pi\)
0.676945 0.736033i \(-0.263303\pi\)
\(110\) 7.06401 15.4680i 0.673527 1.47482i
\(111\) −0.216704 + 1.50721i −0.0205687 + 0.143058i
\(112\) −0.841254 0.540641i −0.0794910 0.0510858i
\(113\) 1.42009 + 1.63887i 0.133591 + 0.154172i 0.818603 0.574359i \(-0.194749\pi\)
−0.685013 + 0.728531i \(0.740203\pi\)
\(114\) 0.608814 0.0570207
\(115\) −17.1077 3.93903i −1.59530 0.367317i
\(116\) 6.20061 0.575712
\(117\) −8.67535 10.0119i −0.802037 0.925600i
\(118\) −0.305988 0.196647i −0.0281685 0.0181028i
\(119\) 0.656964 4.56929i 0.0602238 0.418866i
\(120\) 0.224259 0.491059i 0.0204720 0.0448274i
\(121\) −1.50567 10.4721i −0.136879 0.952014i
\(122\) −3.67868 1.08016i −0.333052 0.0977930i
\(123\) −1.18134 + 0.759200i −0.106518 + 0.0684547i
\(124\) 2.94751 + 6.45414i 0.264694 + 0.579599i
\(125\) −11.9401 + 3.50594i −1.06796 + 0.313581i
\(126\) −1.95034 + 2.25081i −0.173750 + 0.200518i
\(127\) −5.07221 + 5.85364i −0.450086 + 0.519427i −0.934766 0.355265i \(-0.884391\pi\)
0.484680 + 0.874692i \(0.338936\pi\)
\(128\) −0.959493 + 0.281733i −0.0848080 + 0.0249019i
\(129\) −0.378746 0.829338i −0.0333467 0.0730192i
\(130\) −13.6977 + 8.80301i −1.20137 + 0.772075i
\(131\) −12.2209 3.58838i −1.06775 0.313518i −0.299779 0.954009i \(-0.596913\pi\)
−0.767966 + 0.640490i \(0.778731\pi\)
\(132\) −0.0974983 0.678116i −0.00848614 0.0590224i
\(133\) −1.71492 + 3.75515i −0.148702 + 0.325613i
\(134\) 1.41749 9.85887i 0.122453 0.851677i
\(135\) −2.71500 1.74482i −0.233670 0.150170i
\(136\) −3.02302 3.48875i −0.259222 0.299158i
\(137\) 12.8816 1.10055 0.550275 0.834983i \(-0.314523\pi\)
0.550275 + 0.834983i \(0.314523\pi\)
\(138\) −0.665622 + 0.239127i −0.0566615 + 0.0203558i
\(139\) 6.64280 0.563435 0.281717 0.959497i \(-0.409096\pi\)
0.281717 + 0.959497i \(0.409096\pi\)
\(140\) 2.39714 + 2.76645i 0.202596 + 0.233808i
\(141\) −0.480715 0.308937i −0.0404835 0.0260172i
\(142\) 1.45427 10.1146i 0.122039 0.848802i
\(143\) −8.58387 + 18.7961i −0.717820 + 1.57181i
\(144\) 0.423849 + 2.94794i 0.0353208 + 0.245661i
\(145\) −21.7782 6.39464i −1.80858 0.531046i
\(146\) 5.59052 3.59281i 0.462675 0.297343i
\(147\) 0.0612640 + 0.134149i 0.00505297 + 0.0110645i
\(148\) −9.90687 + 2.90892i −0.814340 + 0.239112i
\(149\) 5.27170 6.08387i 0.431875 0.498410i −0.497543 0.867439i \(-0.665764\pi\)
0.929418 + 0.369029i \(0.120310\pi\)
\(150\) −0.811200 + 0.936175i −0.0662342 + 0.0764384i
\(151\) −2.85556 + 0.838469i −0.232382 + 0.0682336i −0.395850 0.918315i \(-0.629550\pi\)
0.163468 + 0.986549i \(0.447732\pi\)
\(152\) 1.71492 + 3.75515i 0.139098 + 0.304583i
\(153\) −11.5659 + 7.43296i −0.935048 + 0.600919i
\(154\) 4.45724 + 1.30876i 0.359175 + 0.105463i
\(155\) −3.69631 25.7084i −0.296894 2.06495i
\(156\) −0.272510 + 0.596713i −0.0218182 + 0.0477753i
\(157\) 0.174089 1.21081i 0.0138938 0.0966335i −0.981695 0.190462i \(-0.939001\pi\)
0.995588 + 0.0938284i \(0.0299105\pi\)
\(158\) −1.22763 0.788948i −0.0976647 0.0627653i
\(159\) 1.27841 + 1.47536i 0.101384 + 0.117004i
\(160\) 3.66054 0.289391
\(161\) 0.400011 4.77912i 0.0315253 0.376647i
\(162\) 8.80473 0.691765
\(163\) −11.5514 13.3311i −0.904779 1.04417i −0.998818 0.0486017i \(-0.984524\pi\)
0.0940397 0.995568i \(-0.470022\pi\)
\(164\) −8.01035 5.14794i −0.625503 0.401986i
\(165\) −0.356897 + 2.48227i −0.0277844 + 0.193244i
\(166\) −0.634981 + 1.39041i −0.0492841 + 0.107917i
\(167\) 2.32900 + 16.1986i 0.180223 + 1.25348i 0.856233 + 0.516589i \(0.172799\pi\)
−0.676010 + 0.736893i \(0.736292\pi\)
\(168\) 0.141503 + 0.0415489i 0.0109172 + 0.00320557i
\(169\) 5.70859 3.66869i 0.439123 0.282207i
\(170\) 7.01971 + 15.3710i 0.538387 + 1.17890i
\(171\) 11.7968 3.46386i 0.902125 0.264888i
\(172\) 4.04848 4.67220i 0.308694 0.356252i
\(173\) −2.91888 + 3.36856i −0.221918 + 0.256107i −0.855781 0.517338i \(-0.826923\pi\)
0.633863 + 0.773445i \(0.281468\pi\)
\(174\) −0.877402 + 0.257629i −0.0665157 + 0.0195308i
\(175\) −3.48930 7.64051i −0.263766 0.577568i
\(176\) 3.90797 2.51150i 0.294574 0.189311i
\(177\) 0.0514686 + 0.0151126i 0.00386862 + 0.00113593i
\(178\) −1.29768 9.02559i −0.0972656 0.676497i
\(179\) 4.11695 9.01487i 0.307716 0.673803i −0.691085 0.722774i \(-0.742867\pi\)
0.998800 + 0.0489708i \(0.0155941\pi\)
\(180\) 1.55152 10.7910i 0.115643 0.804317i
\(181\) −13.2454 8.51233i −0.984526 0.632716i −0.0538454 0.998549i \(-0.517148\pi\)
−0.930681 + 0.365833i \(0.880784\pi\)
\(182\) −2.91290 3.36167i −0.215919 0.249183i
\(183\) 0.565423 0.0417973
\(184\) −3.34987 3.43197i −0.246955 0.253008i
\(185\) 37.7955 2.77878
\(186\) −0.685243 0.790812i −0.0502444 0.0579852i
\(187\) 18.0403 + 11.5938i 1.31923 + 0.847820i
\(188\) 0.551428 3.83526i 0.0402170 0.279715i
\(189\) 0.366251 0.801979i 0.0266409 0.0583354i
\(190\) −2.15059 14.9577i −0.156020 1.08514i
\(191\) −10.3118 3.02783i −0.746138 0.219086i −0.113505 0.993537i \(-0.536208\pi\)
−0.632633 + 0.774452i \(0.718026\pi\)
\(192\) 0.124065 0.0797318i 0.00895363 0.00575415i
\(193\) −3.54351 7.75920i −0.255067 0.558520i 0.738171 0.674614i \(-0.235690\pi\)
−0.993238 + 0.116094i \(0.962963\pi\)
\(194\) 15.4744 4.54370i 1.11100 0.326219i
\(195\) 1.57251 1.81478i 0.112610 0.129959i
\(196\) −0.654861 + 0.755750i −0.0467758 + 0.0539821i
\(197\) −4.46557 + 1.31121i −0.318159 + 0.0934199i −0.436913 0.899504i \(-0.643928\pi\)
0.118754 + 0.992924i \(0.462110\pi\)
\(198\) −5.74735 12.5849i −0.408446 0.894373i
\(199\) 23.4674 15.0816i 1.66356 1.06910i 0.750865 0.660455i \(-0.229637\pi\)
0.912692 0.408648i \(-0.134000\pi\)
\(200\) −8.05932 2.36643i −0.569880 0.167332i
\(201\) 0.209047 + 1.45395i 0.0147450 + 0.102554i
\(202\) 1.77957 3.89672i 0.125210 0.274172i
\(203\) 0.882438 6.13749i 0.0619350 0.430768i
\(204\) 0.572719 + 0.368064i 0.0400983 + 0.0257696i
\(205\) 22.8254 + 26.3419i 1.59420 + 1.83980i
\(206\) 5.95552 0.414940
\(207\) −11.5371 + 8.42056i −0.801881 + 0.585269i
\(208\) −4.44813 −0.308422
\(209\) −12.5584 14.4932i −0.868684 1.00251i
\(210\) −0.454145 0.291862i −0.0313390 0.0201404i
\(211\) −1.04690 + 7.28137i −0.0720718 + 0.501270i 0.921528 + 0.388312i \(0.126942\pi\)
−0.993600 + 0.112958i \(0.963967\pi\)
\(212\) −5.49896 + 12.0410i −0.377670 + 0.826982i
\(213\) 0.214470 + 1.49167i 0.0146952 + 0.102208i
\(214\) −6.61133 1.94126i −0.451941 0.132702i
\(215\) −19.0377 + 12.2348i −1.29836 + 0.834407i
\(216\) −0.366251 0.801979i −0.0249202 0.0545677i
\(217\) 6.80792 1.99899i 0.462152 0.135700i
\(218\) −8.64467 + 9.97648i −0.585491 + 0.675692i
\(219\) −0.641796 + 0.740672i −0.0433686 + 0.0500500i
\(220\) −16.3159 + 4.79078i −1.10002 + 0.322994i
\(221\) −8.53004 18.6782i −0.573792 1.25643i
\(222\) 1.28099 0.823240i 0.0859742 0.0552522i
\(223\) 17.8682 + 5.24658i 1.19654 + 0.351337i 0.818530 0.574463i \(-0.194789\pi\)
0.378013 + 0.925800i \(0.376607\pi\)
\(224\) 0.142315 + 0.989821i 0.00950881 + 0.0661352i
\(225\) −10.3920 + 22.7553i −0.692801 + 1.51702i
\(226\) 0.308615 2.14646i 0.0205288 0.142781i
\(227\) 15.4744 + 9.94478i 1.02707 + 0.660058i 0.941756 0.336296i \(-0.109174\pi\)
0.0853139 + 0.996354i \(0.472811\pi\)
\(228\) −0.398688 0.460111i −0.0264038 0.0304716i
\(229\) 4.26364 0.281750 0.140875 0.990027i \(-0.455009\pi\)
0.140875 + 0.990027i \(0.455009\pi\)
\(230\) 8.22625 + 15.5087i 0.542423 + 1.02261i
\(231\) −0.685089 −0.0450755
\(232\) −4.06053 4.68611i −0.266587 0.307658i
\(233\) −8.11454 5.21490i −0.531601 0.341639i 0.247145 0.968978i \(-0.420508\pi\)
−0.778746 + 0.627339i \(0.784144\pi\)
\(234\) −1.88533 + 13.1128i −0.123248 + 0.857210i
\(235\) −5.89204 + 12.9018i −0.384354 + 0.841619i
\(236\) 0.0517640 + 0.360027i 0.00336955 + 0.0234357i
\(237\) 0.206492 + 0.0606316i 0.0134131 + 0.00393845i
\(238\) −3.88346 + 2.49575i −0.251727 + 0.161775i
\(239\) −9.65876 21.1497i −0.624773 1.36806i −0.911996 0.410199i \(-0.865459\pi\)
0.287223 0.957864i \(-0.407268\pi\)
\(240\) −0.517976 + 0.152092i −0.0334352 + 0.00981747i
\(241\) −3.90826 + 4.51038i −0.251753 + 0.290539i −0.867533 0.497379i \(-0.834296\pi\)
0.615780 + 0.787918i \(0.288841\pi\)
\(242\) −6.92832 + 7.99571i −0.445369 + 0.513984i
\(243\) −3.78371 + 1.11100i −0.242725 + 0.0712705i
\(244\) 1.59270 + 3.48752i 0.101962 + 0.223265i
\(245\) 3.07944 1.97904i 0.196738 0.126436i
\(246\) 1.34738 + 0.395626i 0.0859056 + 0.0252242i
\(247\) 2.61330 + 18.1759i 0.166280 + 1.15650i
\(248\) 2.94751 6.45414i 0.187167 0.409838i
\(249\) 0.0320813 0.223130i 0.00203307 0.0141403i
\(250\) 10.4687 + 6.72785i 0.662101 + 0.425507i
\(251\) −5.48597 6.33114i −0.346271 0.399618i 0.555722 0.831368i \(-0.312442\pi\)
−0.901993 + 0.431750i \(0.857896\pi\)
\(252\) 2.97825 0.187612
\(253\) 19.4228 + 10.9129i 1.22110 + 0.686089i
\(254\) 7.74548 0.485994
\(255\) −1.63196 1.88338i −0.102197 0.117942i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 1.06085 7.37835i 0.0661738 0.460249i −0.929612 0.368540i \(-0.879858\pi\)
0.995786 0.0917092i \(-0.0292330\pi\)
\(258\) −0.378746 + 0.829338i −0.0235797 + 0.0516324i
\(259\) 1.46942 + 10.2200i 0.0913051 + 0.635041i
\(260\) 15.6230 + 4.58732i 0.968896 + 0.284494i
\(261\) −15.5354 + 9.98399i −0.961617 + 0.617994i
\(262\) 5.29107 + 11.5858i 0.326884 + 0.715775i
\(263\) −21.8595 + 6.41853i −1.34791 + 0.395783i −0.874487 0.485050i \(-0.838802\pi\)
−0.473427 + 0.880833i \(0.656983\pi\)
\(264\) −0.448638 + 0.517756i −0.0276118 + 0.0318657i
\(265\) 31.7316 36.6203i 1.94926 2.24956i
\(266\) 3.96099 1.16305i 0.242864 0.0713112i
\(267\) 0.558630 + 1.22323i 0.0341876 + 0.0748604i
\(268\) −8.37910 + 5.38492i −0.511835 + 0.328936i
\(269\) −8.89413 2.61155i −0.542285 0.159229i −0.000892957 1.00000i \(-0.500284\pi\)
−0.541392 + 0.840770i \(0.682102\pi\)
\(270\) 0.459296 + 3.19447i 0.0279518 + 0.194409i
\(271\) −3.70769 + 8.11870i −0.225226 + 0.493176i −0.988184 0.153272i \(-0.951019\pi\)
0.762958 + 0.646448i \(0.223746\pi\)
\(272\) −0.656964 + 4.56929i −0.0398343 + 0.277054i
\(273\) 0.551857 + 0.354657i 0.0333999 + 0.0214648i
\(274\) −8.43567 9.73528i −0.509617 0.588130i
\(275\) 39.0194 2.35296
\(276\) 0.616610 + 0.346449i 0.0371155 + 0.0208538i
\(277\) −2.38522 −0.143314 −0.0716571 0.997429i \(-0.522829\pi\)
−0.0716571 + 0.997429i \(0.522829\pi\)
\(278\) −4.35011 5.02029i −0.260902 0.301097i
\(279\) −17.7771 11.4246i −1.06429 0.683975i
\(280\) 0.520949 3.62328i 0.0311327 0.216532i
\(281\) −4.57680 + 10.0218i −0.273029 + 0.597850i −0.995627 0.0934183i \(-0.970221\pi\)
0.722598 + 0.691269i \(0.242948\pi\)
\(282\) 0.0813226 + 0.565611i 0.00484269 + 0.0336817i
\(283\) 24.7957 + 7.28068i 1.47395 + 0.432792i 0.917382 0.398008i \(-0.130298\pi\)
0.556571 + 0.830800i \(0.312117\pi\)
\(284\) −8.59648 + 5.52462i −0.510107 + 0.327826i
\(285\) 0.925789 + 2.02720i 0.0548390 + 0.120081i
\(286\) 19.8264 5.82154i 1.17236 0.344235i
\(287\) −6.23553 + 7.19619i −0.368072 + 0.424777i
\(288\) 1.95034 2.25081i 0.114925 0.132630i
\(289\) −4.13541 + 1.21427i −0.243259 + 0.0714274i
\(290\) 9.42891 + 20.6464i 0.553685 + 1.21240i
\(291\) −2.00089 + 1.28589i −0.117294 + 0.0753803i
\(292\) −6.37627 1.87224i −0.373143 0.109565i
\(293\) 1.30654 + 9.08717i 0.0763287 + 0.530878i 0.991731 + 0.128337i \(0.0409639\pi\)
−0.915402 + 0.402541i \(0.868127\pi\)
\(294\) 0.0612640 0.134149i 0.00357299 0.00782375i
\(295\) 0.189484 1.31789i 0.0110322 0.0767307i
\(296\) 8.68603 + 5.58218i 0.504865 + 0.324457i
\(297\) 2.68207 + 3.09527i 0.155629 + 0.179606i
\(298\) −8.05011 −0.466330
\(299\) −9.99617 18.8454i −0.578093 1.08986i
\(300\) 1.23874 0.0715185
\(301\) −4.04848 4.67220i −0.233351 0.269301i
\(302\) 2.50367 + 1.60901i 0.144070 + 0.0925881i
\(303\) −0.0899096 + 0.625335i −0.00516517 + 0.0359246i
\(304\) 1.71492 3.75515i 0.0983574 0.215373i
\(305\) −1.99731 13.8916i −0.114366 0.795432i
\(306\) 13.1915 + 3.87338i 0.754109 + 0.221426i
\(307\) −17.0448 + 10.9541i −0.972800 + 0.625181i −0.927512 0.373793i \(-0.878057\pi\)
−0.0452882 + 0.998974i \(0.514421\pi\)
\(308\) −1.92977 4.22561i −0.109959 0.240777i
\(309\) −0.842722 + 0.247445i −0.0479408 + 0.0140767i
\(310\) −17.0085 + 19.6289i −0.966019 + 1.11485i
\(311\) −9.16444 + 10.5763i −0.519668 + 0.599729i −0.953548 0.301242i \(-0.902599\pi\)
0.433880 + 0.900971i \(0.357144\pi\)
\(312\) 0.629422 0.184815i 0.0356340 0.0104631i
\(313\) 8.81053 + 19.2924i 0.498000 + 1.09047i 0.977114 + 0.212716i \(0.0682309\pi\)
−0.479114 + 0.877753i \(0.659042\pi\)
\(314\) −1.02908 + 0.661347i −0.0580742 + 0.0373220i
\(315\) −10.4604 3.07145i −0.589377 0.173057i
\(316\) 0.207678 + 1.44443i 0.0116828 + 0.0812555i
\(317\) 8.51103 18.6366i 0.478027 1.04673i −0.504974 0.863135i \(-0.668498\pi\)
0.983001 0.183599i \(-0.0587749\pi\)
\(318\) 0.277825 1.93232i 0.0155797 0.108359i
\(319\) 24.2318 + 15.5728i 1.35672 + 0.871910i
\(320\) −2.39714 2.76645i −0.134004 0.154649i
\(321\) 1.01618 0.0567176
\(322\) −3.87377 + 2.82735i −0.215877 + 0.157562i
\(323\) 19.0570 1.06036
\(324\) −5.76587 6.65417i −0.320326 0.369676i
\(325\) −31.4311 20.1996i −1.74349 1.12047i
\(326\) −2.51037 + 17.4600i −0.139036 + 0.967019i
\(327\) 0.808732 1.77088i 0.0447230 0.0979296i
\(328\) 1.35511 + 9.42500i 0.0748234 + 0.520408i
\(329\) −3.71775 1.09163i −0.204966 0.0601835i
\(330\) 2.10969 1.35582i 0.116135 0.0746353i
\(331\) −2.86456 6.27251i −0.157450 0.344768i 0.814423 0.580271i \(-0.197054\pi\)
−0.971874 + 0.235503i \(0.924326\pi\)
\(332\) 1.46663 0.430641i 0.0804918 0.0236345i
\(333\) 20.1375 23.2399i 1.10353 1.27354i
\(334\) 10.7169 12.3679i 0.586402 0.676744i
\(335\) 34.9830 10.2719i 1.91133 0.561216i
\(336\) −0.0612640 0.134149i −0.00334222 0.00731845i
\(337\) −4.99791 + 3.21196i −0.272253 + 0.174967i −0.669643 0.742684i \(-0.733553\pi\)
0.397389 + 0.917650i \(0.369916\pi\)
\(338\) −6.51094 1.91179i −0.354149 0.103987i
\(339\) 0.0455135 + 0.316553i 0.00247195 + 0.0171928i
\(340\) 7.01971 15.3710i 0.380697 0.833610i
\(341\) −4.69080 + 32.6252i −0.254021 + 1.76675i
\(342\) −10.3431 6.64710i −0.559290 0.359434i
\(343\) 0.654861 + 0.755750i 0.0353592 + 0.0408066i
\(344\) −6.18220 −0.333322
\(345\) −1.80840 1.85273i −0.0973612 0.0997474i
\(346\) 4.45725 0.239623
\(347\) −6.36071 7.34065i −0.341461 0.394067i 0.558883 0.829247i \(-0.311230\pi\)
−0.900343 + 0.435180i \(0.856685\pi\)
\(348\) 0.769279 + 0.494386i 0.0412377 + 0.0265019i
\(349\) 1.50019 10.4340i 0.0803032 0.558521i −0.909459 0.415794i \(-0.863504\pi\)
0.989762 0.142727i \(-0.0455871\pi\)
\(350\) −3.48930 + 7.64051i −0.186511 + 0.408402i
\(351\) −0.558116 3.88178i −0.0297900 0.207194i
\(352\) −4.45724 1.30876i −0.237572 0.0697573i
\(353\) −11.1544 + 7.16852i −0.593690 + 0.381542i −0.802710 0.596370i \(-0.796609\pi\)
0.209019 + 0.977911i \(0.432973\pi\)
\(354\) −0.0222835 0.0487940i −0.00118435 0.00259337i
\(355\) 35.8906 10.5384i 1.90487 0.559322i
\(356\) −5.97129 + 6.89123i −0.316478 + 0.365235i
\(357\) 0.445824 0.514508i 0.0235955 0.0272307i
\(358\) −9.50902 + 2.79210i −0.502567 + 0.147567i
\(359\) −2.49638 5.46630i −0.131754 0.288500i 0.832245 0.554409i \(-0.187055\pi\)
−0.963998 + 0.265908i \(0.914328\pi\)
\(360\) −9.17135 + 5.89407i −0.483373 + 0.310645i
\(361\) 1.87857 + 0.551599i 0.0988722 + 0.0290315i
\(362\) 2.24073 + 15.5846i 0.117770 + 0.819110i
\(363\) 0.648163 1.41928i 0.0340197 0.0744928i
\(364\) −0.633034 + 4.40285i −0.0331800 + 0.230772i
\(365\) 20.4643 + 13.1516i 1.07115 + 0.688387i
\(366\) −0.370273 0.427318i −0.0193545 0.0223363i
\(367\) −25.2713 −1.31915 −0.659576 0.751638i \(-0.729264\pi\)
−0.659576 + 0.751638i \(0.729264\pi\)
\(368\) −0.400011 + 4.77912i −0.0208520 + 0.249129i
\(369\) 28.3587 1.47629
\(370\) −24.7508 28.5639i −1.28673 1.48497i
\(371\) 11.1359 + 7.15661i 0.578147 + 0.371552i
\(372\) −0.148917 + 1.03574i −0.00772101 + 0.0537008i
\(373\) −8.03394 + 17.5919i −0.415981 + 0.910872i 0.579415 + 0.815032i \(0.303281\pi\)
−0.995397 + 0.0958398i \(0.969446\pi\)
\(374\) −3.05187 21.2262i −0.157808 1.09758i
\(375\) −1.76089 0.517044i −0.0909320 0.0267000i
\(376\) −3.25961 + 2.09482i −0.168101 + 0.108032i
\(377\) −11.4576 25.0886i −0.590096 1.29213i
\(378\) −0.845939 + 0.248390i −0.0435104 + 0.0127758i
\(379\) 2.02143 2.33285i 0.103834 0.119831i −0.701454 0.712715i \(-0.747465\pi\)
0.805288 + 0.592884i \(0.202011\pi\)
\(380\) −9.89592 + 11.4205i −0.507650 + 0.585859i
\(381\) −1.09601 + 0.321816i −0.0561501 + 0.0164871i
\(382\) 4.46453 + 9.77597i 0.228425 + 0.500182i
\(383\) −23.5109 + 15.1095i −1.20135 + 0.772061i −0.979189 0.202949i \(-0.934948\pi\)
−0.222161 + 0.975010i \(0.571311\pi\)
\(384\) −0.141503 0.0415489i −0.00722103 0.00212029i
\(385\) 2.42002 + 16.8316i 0.123336 + 0.857819i
\(386\) −3.54351 + 7.75920i −0.180360 + 0.394933i
\(387\) −2.62032 + 18.2247i −0.133198 + 0.926415i
\(388\) −13.5675 8.71929i −0.688785 0.442655i
\(389\) 2.26979 + 2.61948i 0.115083 + 0.132813i 0.810368 0.585921i \(-0.199267\pi\)
−0.695285 + 0.718734i \(0.744722\pi\)
\(390\) −2.40129 −0.121594
\(391\) −20.8351 + 7.48508i −1.05368 + 0.378537i
\(392\) 1.00000 0.0505076
\(393\) −1.23008 1.41959i −0.0620493 0.0716088i
\(394\) 3.91528 + 2.51620i 0.197249 + 0.126764i
\(395\) 0.760212 5.28739i 0.0382504 0.266038i
\(396\) −5.74735 + 12.5849i −0.288815 + 0.632417i
\(397\) −3.72396 25.9007i −0.186900 1.29992i −0.839975 0.542625i \(-0.817431\pi\)
0.653075 0.757293i \(-0.273479\pi\)
\(398\) −26.7657 7.85913i −1.34165 0.393943i
\(399\) −0.512167 + 0.329150i −0.0256404 + 0.0164781i
\(400\) 3.48930 + 7.64051i 0.174465 + 0.382025i
\(401\) 14.5719 4.27870i 0.727687 0.213668i 0.103152 0.994666i \(-0.467107\pi\)
0.624534 + 0.780997i \(0.285289\pi\)
\(402\) 0.961927 1.11012i 0.0479766 0.0553679i
\(403\) 20.6680 23.8521i 1.02955 1.18816i
\(404\) −4.11031 + 1.20690i −0.204496 + 0.0600453i
\(405\) 13.3889 + 29.3175i 0.665297 + 1.45680i
\(406\) −5.21628 + 3.35230i −0.258880 + 0.166372i
\(407\) −46.0215 13.5131i −2.28120 0.669821i
\(408\) −0.0968868 0.673863i −0.00479661 0.0333612i
\(409\) 5.54904 12.1507i 0.274382 0.600813i −0.721404 0.692514i \(-0.756503\pi\)
0.995787 + 0.0917008i \(0.0292303\pi\)
\(410\) 4.96044 34.5006i 0.244978 1.70386i
\(411\) 1.59816 + 1.02707i 0.0788314 + 0.0506619i
\(412\) −3.90003 4.50088i −0.192141 0.221742i
\(413\) 0.363729 0.0178979
\(414\) 13.9190 + 3.20483i 0.684081 + 0.157509i
\(415\) −5.59531 −0.274663
\(416\) 2.91290 + 3.36167i 0.142817 + 0.164819i
\(417\) 0.824140 + 0.529642i 0.0403583 + 0.0259367i
\(418\) −2.72920 + 18.9820i −0.133490 + 0.928442i
\(419\) −6.96117 + 15.2428i −0.340075 + 0.744661i −0.999978 0.00669012i \(-0.997870\pi\)
0.659902 + 0.751352i \(0.270598\pi\)
\(420\) 0.0768278 + 0.534349i 0.00374881 + 0.0260736i
\(421\) 23.2386 + 6.82347i 1.13258 + 0.332556i 0.793722 0.608281i \(-0.208141\pi\)
0.338859 + 0.940837i \(0.389959\pi\)
\(422\) 6.18847 3.97709i 0.301250 0.193602i
\(423\) 4.79382 + 10.4970i 0.233083 + 0.510382i
\(424\) 12.7011 3.72937i 0.616818 0.181114i
\(425\) −25.3920 + 29.3039i −1.23169 + 1.42145i
\(426\) 0.986882 1.13892i 0.0478146 0.0551810i
\(427\) 3.67868 1.08016i 0.178024 0.0522726i
\(428\) 2.86239 + 6.26777i 0.138359 + 0.302964i
\(429\) −2.56360 + 1.64753i −0.123772 + 0.0795434i
\(430\) 21.7135 + 6.37566i 1.04712 + 0.307462i
\(431\) −1.45894 10.1471i −0.0702745 0.488770i −0.994315 0.106476i \(-0.966043\pi\)
0.924041 0.382294i \(-0.124866\pi\)
\(432\) −0.366251 + 0.801979i −0.0176213 + 0.0385852i
\(433\) 2.22012 15.4413i 0.106692 0.742059i −0.864305 0.502968i \(-0.832241\pi\)
0.970997 0.239091i \(-0.0768495\pi\)
\(434\) −5.96897 3.83602i −0.286520 0.184135i
\(435\) −2.19205 2.52976i −0.105101 0.121293i
\(436\) 13.2008 0.632202
\(437\) 19.7634 1.17324i 0.945412 0.0561235i
\(438\) 0.980050 0.0468286
\(439\) −23.1900 26.7627i −1.10680 1.27732i −0.957472 0.288528i \(-0.906834\pi\)
−0.149328 0.988788i \(-0.547711\pi\)
\(440\) 14.3053 + 9.19344i 0.681977 + 0.438280i
\(441\) 0.423849 2.94794i 0.0201833 0.140378i
\(442\) −8.53004 + 18.6782i −0.405732 + 0.888430i
\(443\) −2.52611 17.5695i −0.120019 0.834751i −0.957531 0.288331i \(-0.906899\pi\)
0.837512 0.546420i \(-0.184010\pi\)
\(444\) −1.46103 0.428997i −0.0693374 0.0203593i
\(445\) 28.0796 18.0457i 1.33110 0.855447i
\(446\) −7.73609 16.9397i −0.366314 0.802116i
\(447\) 1.13911 0.334474i 0.0538782 0.0158201i
\(448\) 0.654861 0.755750i 0.0309393 0.0357058i
\(449\) −25.5715 + 29.5110i −1.20679 + 1.39271i −0.309720 + 0.950828i \(0.600235\pi\)
−0.897072 + 0.441884i \(0.854310\pi\)
\(450\) 24.0027 7.04782i 1.13150 0.332237i
\(451\) −18.3751 40.2359i −0.865252 1.89464i
\(452\) −1.82429 + 1.17240i −0.0858074 + 0.0551451i
\(453\) −0.421128 0.123654i −0.0197863 0.00580979i
\(454\) −2.61780 18.2072i −0.122859 0.854506i
\(455\) 6.76401 14.8111i 0.317102 0.694356i
\(456\) −0.0866433 + 0.602617i −0.00405744 + 0.0282201i
\(457\) −12.0672 7.75512i −0.564480 0.362769i 0.227066 0.973879i \(-0.427087\pi\)
−0.791545 + 0.611110i \(0.790723\pi\)
\(458\) −2.79209 3.22225i −0.130466 0.150566i
\(459\) −4.06995 −0.189969
\(460\) 6.33362 16.3730i 0.295307 0.763395i
\(461\) −16.2594 −0.757275 −0.378637 0.925545i \(-0.623607\pi\)
−0.378637 + 0.925545i \(0.623607\pi\)
\(462\) 0.448638 + 0.517756i 0.0208725 + 0.0240882i
\(463\) −14.5966 9.38069i −0.678363 0.435958i 0.155568 0.987825i \(-0.450279\pi\)
−0.833932 + 0.551867i \(0.813915\pi\)
\(464\) −0.882438 + 6.13749i −0.0409662 + 0.284926i
\(465\) 1.59119 3.48423i 0.0737898 0.161577i
\(466\) 1.37274 + 9.54759i 0.0635908 + 0.442284i
\(467\) −16.2498 4.77138i −0.751952 0.220793i −0.116774 0.993159i \(-0.537255\pi\)
−0.635178 + 0.772366i \(0.719073\pi\)
\(468\) 11.1446 7.16221i 0.515160 0.331073i
\(469\) 4.13764 + 9.06016i 0.191058 + 0.418360i
\(470\) 13.6090 3.99595i 0.627735 0.184320i
\(471\) 0.118139 0.136339i 0.00544355 0.00628219i
\(472\) 0.238192 0.274888i 0.0109637 0.0126527i
\(473\) 27.5555 8.09104i 1.26701 0.372026i
\(474\) −0.0894014 0.195762i −0.00410634 0.00899164i
\(475\) 29.1706 18.7468i 1.33844 0.860162i
\(476\) 4.42928 + 1.30055i 0.203016 + 0.0596108i
\(477\) −5.61060 39.0226i −0.256892 1.78672i
\(478\) −9.65876 + 21.1497i −0.441782 + 0.967367i
\(479\) 0.416767 2.89868i 0.0190426 0.132444i −0.978082 0.208218i \(-0.933234\pi\)
0.997125 + 0.0757740i \(0.0241428\pi\)
\(480\) 0.454145 + 0.291862i 0.0207288 + 0.0133216i
\(481\) 30.0760 + 34.7096i 1.37135 + 1.58262i
\(482\) 5.96808 0.271839
\(483\) 0.430675 0.561029i 0.0195964 0.0255277i
\(484\) 10.5798 0.480902
\(485\) 38.6604 + 44.6165i 1.75548 + 2.02593i
\(486\) 3.31744 + 2.13199i 0.150482 + 0.0967089i
\(487\) 3.07387 21.3793i 0.139291 0.968787i −0.793552 0.608502i \(-0.791771\pi\)
0.932843 0.360284i \(-0.117320\pi\)
\(488\) 1.59270 3.48752i 0.0720980 0.157873i
\(489\) −0.370220 2.57494i −0.0167419 0.116443i
\(490\) −3.51226 1.03129i −0.158668 0.0465891i
\(491\) −26.5112 + 17.0377i −1.19643 + 0.768901i −0.978335 0.207026i \(-0.933622\pi\)
−0.218098 + 0.975927i \(0.569985\pi\)
\(492\) −0.583350 1.27736i −0.0262995 0.0575878i
\(493\) −27.4642 + 8.06423i −1.23693 + 0.363195i
\(494\) 12.0251 13.8777i 0.541034 0.624386i
\(495\) 33.1650 38.2744i 1.49065 1.72031i
\(496\) −6.80792 + 1.99899i −0.305685 + 0.0897571i
\(497\) 4.24498 + 9.29521i 0.190413 + 0.416947i
\(498\) −0.189639 + 0.121874i −0.00849794 + 0.00546130i
\(499\) 8.75091 + 2.56950i 0.391744 + 0.115027i 0.471672 0.881774i \(-0.343651\pi\)
−0.0799274 + 0.996801i \(0.525469\pi\)
\(500\) −1.77100 12.3175i −0.0792014 0.550858i
\(501\) −1.00259 + 2.19537i −0.0447925 + 0.0980820i
\(502\) −1.19221 + 8.29203i −0.0532111 + 0.370092i
\(503\) 13.6545 + 8.77519i 0.608823 + 0.391266i 0.808415 0.588612i \(-0.200326\pi\)
−0.199593 + 0.979879i \(0.563962\pi\)
\(504\) −1.95034 2.25081i −0.0868750 0.100259i
\(505\) 15.6812 0.697803
\(506\) −4.47179 21.8252i −0.198795 0.970248i
\(507\) 1.00075 0.0444448
\(508\) −5.07221 5.85364i −0.225043 0.259713i
\(509\) −21.9436 14.1023i −0.972634 0.625074i −0.0451675 0.998979i \(-0.514382\pi\)
−0.927467 + 0.373905i \(0.878019\pi\)
\(510\) −0.354658 + 2.46670i −0.0157045 + 0.109227i
\(511\) −2.76062 + 6.04493i −0.122123 + 0.267412i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) 3.49221 + 1.02541i 0.154185 + 0.0452728i
\(514\) −6.27089 + 4.03006i −0.276597 + 0.177758i
\(515\) 9.05622 + 19.8303i 0.399065 + 0.873830i
\(516\) 0.874798 0.256864i 0.0385108 0.0113078i
\(517\) 11.7872 13.6032i 0.518401 0.598267i
\(518\) 6.76151 7.80320i 0.297084 0.342853i
\(519\) −0.630712 + 0.185194i −0.0276852 + 0.00812911i
\(520\) −6.76401 14.8111i −0.296622 0.649511i
\(521\) 1.99957 1.28505i 0.0876029 0.0562990i −0.496106 0.868262i \(-0.665237\pi\)
0.583709 + 0.811963i \(0.301601\pi\)
\(522\) 17.7189 + 5.20274i 0.775536 + 0.227718i
\(523\) 1.61380 + 11.2242i 0.0705665 + 0.490801i 0.994202 + 0.107529i \(0.0342938\pi\)
−0.923635 + 0.383272i \(0.874797\pi\)
\(524\) 5.29107 11.5858i 0.231142 0.506130i
\(525\) 0.176291 1.22613i 0.00769396 0.0535126i
\(526\) 19.1657 + 12.3171i 0.835665 + 0.537049i
\(527\) −21.4493 24.7538i −0.934346 1.07829i
\(528\) 0.685089 0.0298147
\(529\) −21.1467 + 9.04527i −0.919422 + 0.393273i
\(530\) −48.4555 −2.10477
\(531\) −0.709395 0.818686i −0.0307851 0.0355279i
\(532\) −3.47287 2.23188i −0.150568 0.0967642i
\(533\) −6.02770 + 41.9236i −0.261089 + 1.81591i
\(534\) 0.558630 1.22323i 0.0241743 0.0529343i
\(535\) −3.58957 24.9660i −0.155191 1.07938i
\(536\) 9.55679 + 2.80613i 0.412791 + 0.121206i
\(537\) 1.22954 0.790179i 0.0530587 0.0340987i
\(538\) 3.85074 + 8.43194i 0.166017 + 0.363527i
\(539\) −4.45724 + 1.30876i −0.191987 + 0.0563724i
\(540\) 2.11345 2.43905i 0.0909482 0.104960i
\(541\) 2.38150 2.74840i 0.102389 0.118163i −0.702242 0.711938i \(-0.747818\pi\)
0.804631 + 0.593775i \(0.202363\pi\)
\(542\) 8.56372 2.51454i 0.367843 0.108009i
\(543\) −0.964594 2.11217i −0.0413947 0.0906417i
\(544\) 3.88346 2.49575i 0.166502 0.107004i
\(545\) −46.3646 13.6139i −1.98604 0.583154i
\(546\) −0.0933577 0.649317i −0.00399534 0.0277882i
\(547\) −0.801703 + 1.75549i −0.0342784 + 0.0750591i −0.925997 0.377532i \(-0.876773\pi\)
0.891718 + 0.452591i \(0.149500\pi\)
\(548\) −1.83325 + 12.7505i −0.0783124 + 0.544674i
\(549\) −9.60592 6.17335i −0.409971 0.263472i
\(550\) −25.5523 29.4889i −1.08955 1.25741i
\(551\) 25.5974 1.09049
\(552\) −0.141965 0.692878i −0.00604242 0.0294909i
\(553\) 1.45928 0.0620550
\(554\) 1.56199 + 1.80263i 0.0663626 + 0.0765865i
\(555\) 4.68910 + 3.01350i 0.199041 + 0.127916i
\(556\) −0.945369 + 6.57518i −0.0400926 + 0.278850i
\(557\) −15.2165 + 33.3196i −0.644745 + 1.41180i 0.251334 + 0.967900i \(0.419131\pi\)
−0.896079 + 0.443895i \(0.853596\pi\)
\(558\) 3.00735 + 20.9166i 0.127311 + 0.885469i
\(559\) −26.3853 7.74742i −1.11598 0.327681i
\(560\) −3.07944 + 1.97904i −0.130130 + 0.0836296i
\(561\) 1.31377 + 2.87676i 0.0554676 + 0.121457i
\(562\) 10.5711 3.10397i 0.445917 0.130933i
\(563\) 15.1085 17.4362i 0.636748 0.734847i −0.342048 0.939683i \(-0.611121\pi\)
0.978796 + 0.204836i \(0.0656660\pi\)
\(564\) 0.374205 0.431856i 0.0157569 0.0181844i
\(565\) 7.61647 2.23640i 0.320427 0.0940860i
\(566\) −10.7354 23.5072i −0.451241 0.988081i
\(567\) −7.40701 + 4.76020i −0.311065 + 0.199909i
\(568\) 9.80472 + 2.87893i 0.411397 + 0.120797i
\(569\) 5.06454 + 35.2247i 0.212317 + 1.47670i 0.765392 + 0.643564i \(0.222545\pi\)
−0.553075 + 0.833131i \(0.686546\pi\)
\(570\) 0.925789 2.02720i 0.0387770 0.0849099i
\(571\) 2.94114 20.4561i 0.123083 0.856061i −0.830947 0.556351i \(-0.812201\pi\)
0.954030 0.299710i \(-0.0968900\pi\)
\(572\) −17.3831 11.1715i −0.726825 0.467102i
\(573\) −1.03792 1.19783i −0.0433599 0.0500400i
\(574\) 9.52192 0.397437
\(575\) −24.5292 + 31.9535i −1.02294 + 1.33255i
\(576\) −2.97825 −0.124094
\(577\) 7.48897 + 8.64274i 0.311770 + 0.359802i 0.889910 0.456136i \(-0.150767\pi\)
−0.578140 + 0.815937i \(0.696221\pi\)
\(578\) 3.62580 + 2.33016i 0.150813 + 0.0969219i
\(579\) 0.179029 1.24518i 0.00744021 0.0517478i
\(580\) 9.42891 20.6464i 0.391514 0.857297i
\(581\) −0.217535 1.51299i −0.00902487 0.0627693i
\(582\) 2.28211 + 0.670089i 0.0945966 + 0.0277761i
\(583\) −51.7308 + 33.2454i −2.14247 + 1.37688i
\(584\) 2.76062 + 6.04493i 0.114235 + 0.250141i
\(585\) −46.5292 + 13.6622i −1.92374 + 0.564862i
\(586\) 6.01202 6.93825i 0.248354 0.286616i
\(587\) 15.6794 18.0950i 0.647157 0.746859i −0.333466 0.942762i \(-0.608218\pi\)
0.980623 + 0.195903i \(0.0627638\pi\)
\(588\) −0.141503 + 0.0415489i −0.00583547 + 0.00171345i
\(589\) 12.1679 + 26.6440i 0.501371 + 1.09785i
\(590\) −1.12008 + 0.719833i −0.0461131 + 0.0296351i
\(591\) −0.658567 0.193373i −0.0270898 0.00795429i
\(592\) −1.46942 10.2200i −0.0603926 0.420040i
\(593\) −11.3969 + 24.9558i −0.468015 + 1.02481i 0.517571 + 0.855640i \(0.326836\pi\)
−0.985587 + 0.169171i \(0.945891\pi\)
\(594\) 0.582869 4.05395i 0.0239154 0.166335i
\(595\) −14.2156 9.13578i −0.582781 0.374531i
\(596\) 5.27170 + 6.08387i 0.215937 + 0.249205i
\(597\) 4.11396 0.168373
\(598\) −7.69633 + 19.8957i −0.314726 + 0.813597i
\(599\) 0.0286516 0.00117067 0.000585336 1.00000i \(-0.499814\pi\)
0.000585336 1.00000i \(0.499814\pi\)
\(600\) −0.811200 0.936175i −0.0331171 0.0382192i
\(601\) 11.5688 + 7.43483i 0.471902 + 0.303273i 0.754891 0.655850i \(-0.227690\pi\)
−0.282989 + 0.959123i \(0.591326\pi\)
\(602\) −0.879819 + 6.11928i −0.0358587 + 0.249403i
\(603\) 12.3229 26.9834i 0.501828 1.09885i
\(604\) −0.423545 2.94582i −0.0172338 0.119864i
\(605\) −37.1592 10.9109i −1.51074 0.443592i
\(606\) 0.531475 0.341558i 0.0215897 0.0138749i
\(607\) 1.40570 + 3.07804i 0.0570554 + 0.124934i 0.936012 0.351967i \(-0.114487\pi\)
−0.878957 + 0.476901i \(0.841760\pi\)
\(608\) −3.96099 + 1.16305i −0.160639 + 0.0471680i
\(609\) 0.598833 0.691091i 0.0242660 0.0280044i
\(610\) −9.19062 + 10.6065i −0.372117 + 0.429446i
\(611\) −16.5370 + 4.85571i −0.669016 + 0.196441i
\(612\) −5.71130 12.5060i −0.230866 0.505525i
\(613\) −1.92336 + 1.23607i −0.0776837 + 0.0499243i −0.578906 0.815394i \(-0.696520\pi\)
0.501222 + 0.865318i \(0.332884\pi\)
\(614\) 19.4405 + 5.70825i 0.784555 + 0.230366i
\(615\) 0.731548 + 5.08803i 0.0294989 + 0.205169i
\(616\) −1.92977 + 4.22561i −0.0777528 + 0.170255i
\(617\) 4.15988 28.9326i 0.167470 1.16478i −0.716619 0.697465i \(-0.754311\pi\)
0.884090 0.467318i \(-0.154780\pi\)
\(618\) 0.738872 + 0.474844i 0.0297218 + 0.0191010i
\(619\) 21.7909 + 25.1480i 0.875850 + 1.01078i 0.999829 + 0.0185000i \(0.00588907\pi\)
−0.123979 + 0.992285i \(0.539565\pi\)
\(620\) 25.9727 1.04309
\(621\) −4.22082 + 0.250565i −0.169376 + 0.0100548i
\(622\) 13.9945 0.561128
\(623\) 5.97129 + 6.89123i 0.239235 + 0.276091i
\(624\) −0.551857 0.354657i −0.0220920 0.0141976i
\(625\) −0.505896 + 3.51858i −0.0202358 + 0.140743i
\(626\) 8.81053 19.2924i 0.352139 0.771078i
\(627\) −0.402494 2.79940i −0.0160740 0.111797i
\(628\) 1.17371 + 0.344634i 0.0468363 + 0.0137524i
\(629\) 40.0971 25.7689i 1.59878 1.02747i
\(630\) 4.52886 + 9.91681i 0.180434 + 0.395095i
\(631\) −12.2919 + 3.60923i −0.489333 + 0.143681i −0.517086 0.855934i \(-0.672983\pi\)
0.0277524 + 0.999615i \(0.491165\pi\)
\(632\) 0.955627 1.10285i 0.0380128 0.0438691i
\(633\) −0.710441 + 0.819893i −0.0282375 + 0.0325878i
\(634\) −19.6581 + 5.77214i −0.780724 + 0.229241i
\(635\) 11.7781 + 25.7905i 0.467400 + 1.02346i
\(636\) −1.64228 + 1.05543i −0.0651208 + 0.0418506i
\(637\) 4.26794 + 1.25318i 0.169102 + 0.0496529i
\(638\) −4.09929 28.5112i −0.162292 1.12877i
\(639\) 12.6426 27.6835i 0.500134 1.09514i
\(640\) −0.520949 + 3.62328i −0.0205923 + 0.143223i
\(641\) −23.7986 15.2944i −0.939987 0.604093i −0.0215959 0.999767i \(-0.506875\pi\)
−0.918391 + 0.395674i \(0.870511\pi\)
\(642\) −0.665456 0.767977i −0.0262634 0.0303096i
\(643\) −2.27027 −0.0895305 −0.0447653 0.998998i \(-0.514254\pi\)
−0.0447653 + 0.998998i \(0.514254\pi\)
\(644\) 4.67355 + 1.07608i 0.184164 + 0.0424035i
\(645\) −3.33742 −0.131411
\(646\) −12.4797 14.4023i −0.491005 0.566650i
\(647\) 29.2940 + 18.8261i 1.15167 + 0.740132i 0.969971 0.243222i \(-0.0782045\pi\)
0.181697 + 0.983354i \(0.441841\pi\)
\(648\) −1.25304 + 8.71511i −0.0492242 + 0.342362i
\(649\) −0.701915 + 1.53698i −0.0275526 + 0.0603317i
\(650\) 5.31721 + 36.9820i 0.208558 + 1.45055i
\(651\) 1.00401 + 0.294803i 0.0393502 + 0.0115543i
\(652\) 14.8393 9.53665i 0.581153 0.373484i
\(653\) 9.89272 + 21.6620i 0.387132 + 0.847701i 0.998415 + 0.0562883i \(0.0179266\pi\)
−0.611283 + 0.791412i \(0.709346\pi\)
\(654\) −1.86794 + 0.548478i −0.0730424 + 0.0214472i
\(655\) −30.5320 + 35.2358i −1.19299 + 1.37678i
\(656\) 6.23553 7.19619i 0.243457 0.280964i
\(657\) 18.9901 5.57601i 0.740876 0.217541i
\(658\) 1.60961 + 3.52455i 0.0627491 + 0.137401i
\(659\) 30.6147 19.6749i 1.19258 0.766424i 0.214922 0.976631i \(-0.431050\pi\)
0.977657 + 0.210207i \(0.0674138\pi\)
\(660\) −2.40621 0.706528i −0.0936617 0.0275016i
\(661\) −0.461222 3.20787i −0.0179395 0.124772i 0.978884 0.204418i \(-0.0655301\pi\)
−0.996823 + 0.0796460i \(0.974621\pi\)
\(662\) −2.86456 + 6.27251i −0.111334 + 0.243788i
\(663\) 0.430965 2.99743i 0.0167373 0.116410i
\(664\) −1.28590 0.826395i −0.0499024 0.0320703i
\(665\) 9.89592 + 11.4205i 0.383747 + 0.442868i
\(666\) −30.7508 −1.19157
\(667\) −27.9859 + 10.0540i −1.08362 + 0.389293i
\(668\) −16.3651 −0.633186
\(669\) 1.79850 + 2.07558i 0.0695341 + 0.0802466i
\(670\) −30.6720 19.7117i −1.18496 0.761530i
\(671\) −2.53469 + 17.6292i −0.0978507 + 0.680566i
\(672\) −0.0612640 + 0.134149i −0.00236331 + 0.00517492i
\(673\) −2.76058 19.2003i −0.106413 0.740116i −0.971250 0.238063i \(-0.923487\pi\)
0.864837 0.502053i \(-0.167422\pi\)
\(674\) 5.70037 + 1.67378i 0.219570 + 0.0644716i
\(675\) −6.22989 + 4.00371i −0.239789 + 0.154103i
\(676\) 2.81893 + 6.17260i 0.108420 + 0.237408i
\(677\) −14.9160 + 4.37972i −0.573267 + 0.168326i −0.555501 0.831516i \(-0.687474\pi\)
−0.0177661 + 0.999842i \(0.505655\pi\)
\(678\) 0.209430 0.241695i 0.00804311 0.00928224i
\(679\) −10.5614 + 12.1885i −0.405309 + 0.467752i
\(680\) −16.2136 + 4.76073i −0.621762 + 0.182566i
\(681\) 1.12692 + 2.46760i 0.0431835 + 0.0945586i
\(682\) 27.7283 17.8199i 1.06177 0.682360i
\(683\) 16.4365 + 4.82618i 0.628924 + 0.184669i 0.580634 0.814165i \(-0.302805\pi\)
0.0482899 + 0.998833i \(0.484623\pi\)
\(684\) 1.74974 + 12.1697i 0.0669029 + 0.465320i
\(685\) 19.5883 42.8925i 0.748432 1.63884i
\(686\) 0.142315 0.989821i 0.00543361 0.0377916i
\(687\) 0.528970 + 0.339948i 0.0201814 + 0.0129698i
\(688\) 4.04848 + 4.67220i 0.154347 + 0.178126i
\(689\) 58.8810 2.24319
\(690\) −0.215944 + 2.57998i −0.00822083 + 0.0982181i
\(691\) −19.8891 −0.756615 −0.378308 0.925680i \(-0.623494\pi\)
−0.378308 + 0.925680i \(0.623494\pi\)
\(692\) −2.91888 3.36856i −0.110959 0.128054i
\(693\) 11.6389 + 7.47987i 0.442126 + 0.284137i
\(694\) −1.38231 + 9.61421i −0.0524719 + 0.364950i
\(695\) 10.1013 22.1188i 0.383165 0.839015i
\(696\) −0.130139 0.905136i −0.00493290 0.0343091i
\(697\) 42.1753 + 12.3838i 1.59750 + 0.469069i
\(698\) −8.86793 + 5.69907i −0.335656 + 0.215713i
\(699\) −0.590938 1.29397i −0.0223513 0.0489426i
\(700\) 8.05932 2.36643i 0.304613 0.0894426i
\(701\) 21.4338 24.7359i 0.809543 0.934263i −0.189321 0.981915i \(-0.560629\pi\)
0.998864 + 0.0476525i \(0.0151740\pi\)
\(702\) −2.56817 + 2.96382i −0.0969291 + 0.111862i
\(703\) −40.8976 + 12.0086i −1.54248 + 0.452914i
\(704\) 1.92977 + 4.22561i 0.0727311 + 0.159259i
\(705\) −1.75968 + 1.13088i −0.0662733 + 0.0425913i
\(706\) 12.7222 + 3.73558i 0.478806 + 0.140590i
\(707\) 0.609654 + 4.24023i 0.0229284 + 0.159470i
\(708\) −0.0222835 + 0.0487940i −0.000837464 + 0.00183379i
\(709\) 2.89234 20.1167i 0.108624 0.755497i −0.860594 0.509292i \(-0.829907\pi\)
0.969218 0.246205i \(-0.0791836\pi\)
\(710\) −31.4677 20.2231i −1.18096 0.758959i
\(711\) −2.84610 3.28457i −0.106737 0.123181i
\(712\) 9.11841 0.341727
\(713\) −23.7684 24.3509i −0.890134 0.911950i
\(714\) −0.680792 −0.0254780
\(715\) 49.5331 + 57.1642i 1.85243 + 2.13782i
\(716\) 8.33721 + 5.35800i 0.311576 + 0.200238i
\(717\) 0.487992 3.39406i 0.0182244 0.126753i
\(718\) −2.49638 + 5.46630i −0.0931640 + 0.204001i
\(719\) −0.651565 4.53173i −0.0242993 0.169005i 0.974058 0.226298i \(-0.0726623\pi\)
−0.998357 + 0.0572927i \(0.981753\pi\)
\(720\) 10.4604 + 3.07145i 0.389836 + 0.114466i
\(721\) −5.01010 + 3.21980i −0.186586 + 0.119911i
\(722\) −0.813333 1.78095i −0.0302691 0.0662801i
\(723\) −0.844500 + 0.247968i −0.0314073 + 0.00922201i
\(724\) 10.3107 11.8992i 0.383194 0.442230i
\(725\) −34.1067 + 39.3612i −1.26669 + 1.46184i
\(726\) −1.49708 + 0.439581i −0.0555617 + 0.0163144i
\(727\) 18.1189 + 39.6748i 0.671991 + 1.47146i 0.870912 + 0.491440i \(0.163529\pi\)
−0.198921 + 0.980016i \(0.563744\pi\)
\(728\) 3.74200 2.40484i 0.138688 0.0891292i
\(729\) 24.7862 + 7.27789i 0.918008 + 0.269552i
\(730\) −3.46195 24.0784i −0.128132 0.891181i
\(731\) −11.8554 + 25.9598i −0.438489 + 0.960156i
\(732\) −0.0804681 + 0.559668i −0.00297419 + 0.0206859i
\(733\) 5.52081 + 3.54801i 0.203916 + 0.131049i 0.638613 0.769528i \(-0.279508\pi\)
−0.434698 + 0.900577i \(0.643145\pi\)
\(734\) 16.5492 + 19.0988i 0.610841 + 0.704949i
\(735\) 0.539844 0.0199124
\(736\) 3.87377 2.82735i 0.142789 0.104217i
\(737\) −46.2695 −1.70436
\(738\) −18.5710 21.4320i −0.683607 0.788924i
\(739\) −4.31130 2.77071i −0.158594 0.101922i 0.458937 0.888469i \(-0.348230\pi\)
−0.617531 + 0.786547i \(0.711867\pi\)
\(740\) −5.37886 + 37.4108i −0.197731 + 1.37525i
\(741\) −1.12498 + 2.46336i −0.0413271 + 0.0904937i
\(742\) −1.88386 13.1025i −0.0691586 0.481009i
\(743\) 18.0401 + 5.29705i 0.661827 + 0.194330i 0.595361 0.803459i \(-0.297009\pi\)
0.0664668 + 0.997789i \(0.478827\pi\)
\(744\) 0.880283 0.565724i 0.0322727 0.0207404i
\(745\) −12.2413 26.8048i −0.448488 0.982052i
\(746\) 18.5562 5.44858i 0.679389 0.199487i
\(747\) −2.98118 + 3.44047i −0.109076 + 0.125880i
\(748\) −14.0432 + 16.2067i −0.513469 + 0.592574i
\(749\) 6.61133 1.94126i 0.241573 0.0709322i
\(750\) 0.762382 + 1.66938i 0.0278382 + 0.0609573i
\(751\) 0.494476 0.317780i 0.0180437 0.0115960i −0.531588 0.847003i \(-0.678404\pi\)
0.549632 + 0.835407i \(0.314768\pi\)
\(752\) 3.71775 + 1.09163i 0.135572 + 0.0398076i
\(753\) −0.175824 1.22288i −0.00640737 0.0445642i
\(754\) −11.4576 + 25.0886i −0.417261 + 0.913674i
\(755\) −1.55040 + 10.7833i −0.0564250 + 0.392445i
\(756\) 0.741693 + 0.476657i 0.0269751 + 0.0173358i
\(757\) 25.8711 + 29.8568i 0.940301 + 1.08517i 0.996232 + 0.0867308i \(0.0276420\pi\)
−0.0559306 + 0.998435i \(0.517813\pi\)
\(758\) −3.08680 −0.112118
\(759\) 1.53958 + 2.90253i 0.0558834 + 0.105355i
\(760\) 15.1115 0.548151
\(761\) 21.8582 + 25.2257i 0.792358 + 0.914430i 0.997936 0.0642103i \(-0.0204529\pi\)
−0.205578 + 0.978641i \(0.565907\pi\)
\(762\) 0.960944 + 0.617561i 0.0348113 + 0.0223719i
\(763\) 1.87867 13.0664i 0.0680123 0.473036i
\(764\) 4.46453 9.77597i 0.161521 0.353682i
\(765\) 7.16223 + 49.8144i 0.258951 + 1.80104i
\(766\) 26.8154 + 7.87371i 0.968879 + 0.284489i
\(767\) 1.36107 0.874709i 0.0491455 0.0315839i
\(768\) 0.0612640 + 0.134149i 0.00221067 + 0.00484070i
\(769\) 7.71960 2.26668i 0.278376 0.0817385i −0.139565 0.990213i \(-0.544570\pi\)
0.417940 + 0.908474i \(0.362752\pi\)
\(770\) 11.1357 12.8513i 0.401303 0.463129i
\(771\) 0.719903 0.830813i 0.0259267 0.0299210i
\(772\) 8.18452 2.40319i 0.294567 0.0864928i
\(773\) −4.89521 10.7190i −0.176068 0.385536i 0.800938 0.598748i \(-0.204335\pi\)
−0.977006 + 0.213212i \(0.931608\pi\)
\(774\) 15.4893 9.95436i 0.556751 0.357802i
\(775\) −57.1835 16.7906i −2.05409 0.603136i
\(776\) 2.29521 + 15.9635i 0.0823933 + 0.573058i
\(777\) −0.632557 + 1.38511i −0.0226929 + 0.0496904i
\(778\) 0.493272 3.43078i 0.0176847 0.123000i
\(779\) −33.0684 21.2518i −1.18480 0.761424i
\(780\) 1.57251 + 1.81478i 0.0563050 + 0.0649794i
\(781\) −47.4698 −1.69860
\(782\) 19.3010 + 10.8445i 0.690201 + 0.387797i
\(783\) −5.46677 −0.195367
\(784\) −0.654861 0.755750i −0.0233879 0.0269911i
\(785\) −3.76698 2.42089i −0.134449 0.0864052i
\(786\) −0.267322 + 1.85927i −0.00953506 + 0.0663178i
\(787\) −2.27957 + 4.99155i −0.0812578 + 0.177930i −0.945900 0.324459i \(-0.894818\pi\)
0.864642 + 0.502388i \(0.167545\pi\)
\(788\) −0.662347 4.60673i −0.0235951 0.164108i
\(789\) −3.22376 0.946582i −0.114769 0.0336992i
\(790\) −4.49378 + 2.88798i −0.159881 + 0.102750i
\(791\) 0.900843 + 1.97257i 0.0320303 + 0.0701366i
\(792\) 13.2748 3.89783i 0.471699 0.138503i
\(793\) 11.1680 12.8886i 0.396588 0.457688i
\(794\) −17.1358 + 19.7757i −0.608125 + 0.701814i
\(795\) 6.85659 2.01328i 0.243178 0.0714035i
\(796\) 11.5883 + 25.3748i 0.410736 + 0.899387i
\(797\) −8.42940 + 5.41725i −0.298585 + 0.191889i −0.681352 0.731956i \(-0.738608\pi\)
0.382767 + 0.923845i \(0.374971\pi\)
\(798\) 0.584153 + 0.171523i 0.0206788 + 0.00607184i
\(799\) 2.54554 + 17.7046i 0.0900548 + 0.626345i
\(800\) 3.48930 7.64051i 0.123365 0.270133i
\(801\) 3.86483 26.8805i 0.136557 0.949775i
\(802\) −12.7762 8.21077i −0.451143 0.289932i
\(803\) −20.2161 23.3307i −0.713412 0.823321i
\(804\) −1.46890 −0.0518042
\(805\) −15.3050 8.59927i −0.539430 0.303085i
\(806\) −31.5609 −1.11169
\(807\) −0.895228 1.03315i −0.0315135 0.0363685i
\(808\) 3.60379 + 2.31602i 0.126781 + 0.0814772i
\(809\) −1.20275 + 8.36528i −0.0422863 + 0.294108i 0.957694 + 0.287789i \(0.0929203\pi\)
−0.999980 + 0.00631835i \(0.997989\pi\)
\(810\) 13.3889 29.3175i 0.470436 1.03011i
\(811\) 3.01111 + 20.9427i 0.105734 + 0.735399i 0.971858 + 0.235569i \(0.0756952\pi\)
−0.866123 + 0.499830i \(0.833396\pi\)
\(812\) 5.94944 + 1.74691i 0.208784 + 0.0613046i
\(813\) −1.10731 + 0.711627i −0.0388352 + 0.0249579i
\(814\) 19.9251 + 43.6299i 0.698375 + 1.52923i
\(815\) −61.9547 + 18.1915i −2.17018 + 0.637222i
\(816\) −0.445824 + 0.514508i −0.0156070 + 0.0180114i
\(817\) 16.7130 19.2878i 0.584713 0.674795i
\(818\) −12.8167 + 3.76333i −0.448126 + 0.131582i
\(819\) −5.50327 12.0505i −0.192300 0.421077i
\(820\) −29.3222 + 18.8442i −1.02398 + 0.658069i
\(821\) 26.4524 + 7.76713i 0.923196 + 0.271075i 0.708585 0.705625i \(-0.249334\pi\)
0.214610 + 0.976700i \(0.431152\pi\)
\(822\) −0.270361 1.88040i −0.00942991 0.0655865i
\(823\) 1.45251 3.18055i 0.0506313 0.110867i −0.882626 0.470076i \(-0.844226\pi\)
0.933257 + 0.359209i \(0.116954\pi\)
\(824\) −0.847558 + 5.89490i −0.0295261 + 0.205358i
\(825\) 4.84095 + 3.11109i 0.168540 + 0.108314i
\(826\) −0.238192 0.274888i −0.00828775 0.00956458i
\(827\) −49.4602 −1.71990 −0.859950 0.510378i \(-0.829505\pi\)
−0.859950 + 0.510378i \(0.829505\pi\)
\(828\) −6.69295 12.6180i −0.232596 0.438506i
\(829\) 23.5529 0.818024 0.409012 0.912529i \(-0.365873\pi\)
0.409012 + 0.912529i \(0.365873\pi\)
\(830\) 3.66415 + 4.22865i 0.127184 + 0.146779i
\(831\) −0.295923 0.190178i −0.0102655 0.00659721i
\(832\) 0.633034 4.40285i 0.0219465 0.152641i
\(833\) 1.91767 4.19911i 0.0664433 0.145491i
\(834\) −0.139420 0.969685i −0.00482771 0.0335774i
\(835\) 57.4786 + 16.8772i 1.98913 + 0.584061i
\(836\) 16.1329 10.3680i 0.557968 0.358585i
\(837\) −2.59867 5.69030i −0.0898233 0.196686i
\(838\) 16.0784 4.72103i 0.555418 0.163085i
\(839\) −9.74350 + 11.2446i −0.336383 + 0.388207i −0.898590 0.438790i \(-0.855407\pi\)
0.562206 + 0.826997i \(0.309953\pi\)
\(840\) 0.353522 0.407987i 0.0121977 0.0140769i
\(841\) −9.06483 + 2.66167i −0.312580 + 0.0917819i
\(842\) −10.0612 22.0310i −0.346733 0.759238i
\(843\) −1.36688 + 0.878439i −0.0470778 + 0.0302550i
\(844\) −7.05827 2.07249i −0.242956 0.0713382i
\(845\) −3.53507 24.5869i −0.121610 0.845816i
\(846\) 4.79382 10.4970i 0.164815 0.360894i
\(847\) 1.50567 10.4721i 0.0517354 0.359827i
\(848\) −11.1359 7.15661i −0.382408 0.245759i
\(849\) 2.49578 + 2.88029i 0.0856551 + 0.0988512i
\(850\) 38.7747 1.32996
\(851\) 39.9971 29.1927i 1.37108 1.00071i
\(852\) −1.50701 −0.0516293
\(853\) 6.60573 + 7.62342i 0.226176 + 0.261021i 0.857483 0.514512i \(-0.172027\pi\)
−0.631307 + 0.775533i \(0.717481\pi\)
\(854\) −3.22536 2.07281i −0.110369 0.0709301i
\(855\) 6.40499 44.5477i 0.219046 1.52350i
\(856\) 2.86239 6.26777i 0.0978346 0.214228i
\(857\) 4.99584 + 34.7468i 0.170655 + 1.18693i 0.877506 + 0.479566i \(0.159206\pi\)
−0.706851 + 0.707363i \(0.749885\pi\)
\(858\) 2.92392 + 0.858541i 0.0998210 + 0.0293101i
\(859\) 35.6121 22.8865i 1.21507 0.780878i 0.233570 0.972340i \(-0.424959\pi\)
0.981500 + 0.191462i \(0.0613230\pi\)
\(860\) −9.40092 20.5852i −0.320569 0.701948i
\(861\) −1.34738 + 0.395626i −0.0459185 + 0.0134829i
\(862\) −6.71329 + 7.74755i −0.228656 + 0.263883i
\(863\) 24.7093 28.5161i 0.841116 0.970699i −0.158746 0.987319i \(-0.550745\pi\)
0.999862 + 0.0166201i \(0.00529058\pi\)
\(864\) 0.845939 0.248390i 0.0287794 0.00845040i
\(865\) 6.77788 + 14.8415i 0.230455 + 0.504626i
\(866\) −13.1236 + 8.43402i −0.445958 + 0.286600i
\(867\) −0.609876 0.179076i −0.0207125 0.00608173i
\(868\) 1.00977 + 7.02311i 0.0342738 + 0.238380i
\(869\) −2.81608 + 6.16637i −0.0955291 + 0.209180i
\(870\) −0.476379 + 3.31329i −0.0161508 + 0.112331i
\(871\) 37.2713 + 23.9528i 1.26289 + 0.811609i
\(872\) −8.64467 9.97648i −0.292745 0.337846i
\(873\) 48.0323 1.62565
\(874\) −13.8290 14.1679i −0.467771 0.479236i
\(875\) −12.4442 −0.420691
\(876\) −0.641796 0.740672i −0.0216843 0.0250250i
\(877\) −27.1236 17.4313i −0.915899 0.588612i −0.00443377 0.999990i \(-0.501411\pi\)
−0.911465 + 0.411378i \(0.865048\pi\)
\(878\) −5.03968 + 35.0517i −0.170081 + 1.18294i
\(879\) −0.562441 + 1.23157i −0.0189707 + 0.0415399i
\(880\) −2.42002 16.8316i −0.0815790 0.567394i
\(881\) −33.4648 9.82614i −1.12746 0.331051i −0.335749 0.941951i \(-0.608989\pi\)
−0.791708 + 0.610900i \(0.790808\pi\)
\(882\) −2.50546 + 1.61016i −0.0843634 + 0.0542170i
\(883\) 10.7717 + 23.5866i 0.362495 + 0.793753i 0.999733 + 0.0230865i \(0.00734932\pi\)
−0.637239 + 0.770667i \(0.719923\pi\)
\(884\) 19.7020 5.78503i 0.662650 0.194572i
\(885\) 0.128586 0.148397i 0.00432238 0.00498830i
\(886\) −11.6239 + 13.4147i −0.390512 + 0.450675i
\(887\) 20.0772 5.89518i 0.674125 0.197941i 0.0732858 0.997311i \(-0.476651\pi\)
0.600839 + 0.799370i \(0.294833\pi\)
\(888\) 0.632557 + 1.38511i 0.0212272 + 0.0464811i
\(889\) −6.51591 + 4.18752i −0.218537 + 0.140445i
\(890\) −32.0262 9.40375i −1.07352 0.315214i
\(891\) −5.82090 40.4853i −0.195008 1.35631i
\(892\) −7.73609 + 16.9397i −0.259023 + 0.567182i
\(893\) 2.27641 15.8328i 0.0761771 0.529823i
\(894\) −0.998738 0.641850i −0.0334028 0.0214667i
\(895\) −23.7568 27.4168i −0.794102 0.916443i
\(896\) −1.00000 −0.0334077
\(897\) 0.262405 3.13507i 0.00876145 0.104677i
\(898\) 39.0487 1.30307
\(899\) −28.8108 33.2495i −0.960895 1.10893i
\(900\) −21.0448 13.5247i −0.701493 0.450822i
\(901\) 8.69641 60.4849i 0.289719 2.01504i
\(902\) −18.3751 + 40.2359i −0.611825 + 1.33971i
\(903\) −0.129753 0.902450i −0.00431790 0.0300316i
\(904\) 2.08070 + 0.610948i 0.0692029 + 0.0203198i
\(905\) −48.4855 + 31.1597i −1.61171 + 1.03578i
\(906\) 0.182329 + 0.399244i 0.00605746 + 0.0132640i
\(907\) −6.61389 + 1.94201i −0.219611 + 0.0644835i −0.389687 0.920947i \(-0.627417\pi\)
0.170076 + 0.985431i \(0.445599\pi\)
\(908\) −12.0458 + 13.9016i −0.399753 + 0.461340i
\(909\) 8.35494 9.64211i 0.277116 0.319809i
\(910\) −15.6230 + 4.58732i −0.517897 + 0.152068i
\(911\) 10.1382 + 22.1996i 0.335894 + 0.735506i 0.999926 0.0121987i \(-0.00388306\pi\)
−0.664031 + 0.747705i \(0.731156\pi\)
\(912\) 0.512167 0.329150i 0.0169595 0.0108992i
\(913\) 6.81310 + 2.00051i 0.225481 + 0.0662071i
\(914\) 2.04141 + 14.1983i 0.0675238 + 0.469638i
\(915\) 0.859807 1.88271i 0.0284243 0.0622406i
\(916\) −0.606780 + 4.22025i −0.0200486 + 0.139441i
\(917\) −10.7149 6.88605i −0.353837 0.227398i
\(918\) 2.66525 + 3.07586i 0.0879663 + 0.101519i
\(919\) −20.7020 −0.682896 −0.341448 0.939901i \(-0.610917\pi\)
−0.341448 + 0.939901i \(0.610917\pi\)
\(920\) −16.5215 + 5.93540i −0.544699 + 0.195684i
\(921\) −2.98806 −0.0984598
\(922\) 10.6476 + 12.2880i 0.350661 + 0.404684i
\(923\) 38.2382 + 24.5742i 1.25863 + 0.808870i
\(924\) 0.0974983 0.678116i 0.00320746 0.0223084i
\(925\) 36.0274 78.8890i 1.18457 2.59386i
\(926\) 2.46931 + 17.1745i 0.0811467 + 0.564388i
\(927\) 17.0185 + 4.99710i 0.558962 + 0.164126i
\(928\) 5.21628 3.35230i 0.171233 0.110045i
\(929\) −3.84322 8.41548i −0.126092 0.276103i 0.836049 0.548655i \(-0.184860\pi\)
−0.962141 + 0.272551i \(0.912132\pi\)
\(930\) −3.67521 + 1.07914i −0.120515 + 0.0353864i
\(931\) −2.70340 + 3.11989i −0.0886004 + 0.102250i
\(932\) 6.31664 7.28979i 0.206908 0.238785i
\(933\) −1.98026 + 0.581456i −0.0648307 + 0.0190360i
\(934\) 7.03540 + 15.4054i 0.230205 + 0.504079i
\(935\) 66.0371 42.4395i 2.15964 1.38792i
\(936\) −12.7110 3.73229i −0.415472 0.121994i
\(937\) −4.20353 29.2362i −0.137323 0.955104i −0.935662 0.352896i \(-0.885197\pi\)
0.798339 0.602208i \(-0.205712\pi\)
\(938\) 4.13764 9.06016i 0.135099 0.295825i
\(939\) −0.445136 + 3.09599i −0.0145265 + 0.101034i
\(940\) −11.9319 7.66818i −0.389176 0.250108i
\(941\) −15.3667 17.7342i −0.500941 0.578117i 0.447815 0.894126i \(-0.352202\pi\)
−0.948756 + 0.316009i \(0.897657\pi\)
\(942\) −0.180403 −0.00587785
\(943\) 44.5011 + 10.2463i 1.44916 + 0.333667i
\(944\) −0.363729 −0.0118384
\(945\) −2.11345 2.43905i −0.0687504 0.0793422i
\(946\) −24.1598 15.5266i −0.785504 0.504813i
\(947\) 3.68225 25.6106i 0.119657 0.832233i −0.838277 0.545244i \(-0.816437\pi\)
0.957934 0.286988i \(-0.0926541\pi\)
\(948\) −0.0894014 + 0.195762i −0.00290362 + 0.00635805i
\(949\) 4.20681 + 29.2590i 0.136559 + 0.949786i
\(950\) −33.2705 9.76911i −1.07944 0.316952i
\(951\) 2.54185 1.63355i 0.0824251 0.0529714i
\(952\) −1.91767 4.19911i −0.0621520 0.136094i
\(953\) 22.5871 6.63218i 0.731669 0.214837i 0.105384 0.994432i \(-0.466393\pi\)
0.626285 + 0.779594i \(0.284575\pi\)
\(954\) −25.8172 + 29.7946i −0.835861 + 0.964635i
\(955\) −25.7625 + 29.7315i −0.833655 + 0.962089i
\(956\) 22.3091 6.55053i 0.721526 0.211859i
\(957\) 1.76467 + 3.86409i 0.0570437 + 0.124908i
\(958\) −2.46360 + 1.58326i −0.0795953 + 0.0511528i
\(959\) 12.3598 + 3.62917i 0.399119 + 0.117192i
\(960\) −0.0768278 0.534349i −0.00247961 0.0172460i
\(961\) 8.03566 17.5956i 0.259215 0.567601i
\(962\) 6.53615 45.4599i 0.210734 1.46569i
\(963\) −17.2638 11.0947i −0.556317 0.357523i
\(964\) −3.90826 4.51038i −0.125877 0.145269i
\(965\) −31.2246 −1.00515
\(966\) −0.706030 + 0.0419128i −0.0227161 + 0.00134852i
\(967\) 26.6022 0.855469 0.427735 0.903904i \(-0.359312\pi\)
0.427735 + 0.903904i \(0.359312\pi\)
\(968\) −6.92832 7.99571i −0.222685 0.256992i
\(969\) 2.36430 + 1.51945i 0.0759524 + 0.0488116i
\(970\) 8.40171 58.4352i 0.269763 1.87624i
\(971\) 18.8779 41.3369i 0.605821 1.32656i −0.319575 0.947561i \(-0.603540\pi\)
0.925396 0.379002i \(-0.123733\pi\)
\(972\) −0.561211 3.90331i −0.0180008 0.125199i
\(973\) 6.37372 + 1.87149i 0.204332 + 0.0599973i
\(974\) −18.1703 + 11.6774i −0.582215 + 0.374167i
\(975\) −2.28896 5.01213i −0.0733054 0.160516i
\(976\) −3.67868 + 1.08016i −0.117752 + 0.0345751i
\(977\) −2.72569 + 3.14561i −0.0872025 + 0.100637i −0.797674 0.603089i \(-0.793936\pi\)
0.710471 + 0.703726i \(0.248482\pi\)
\(978\) −1.70357 + 1.96602i −0.0544740 + 0.0628664i
\(979\) −40.6429 + 11.9338i −1.29895 + 0.381407i
\(980\) 1.52064 + 3.32974i 0.0485752 + 0.106365i
\(981\) −33.0741 + 21.2554i −1.05597 + 0.678633i
\(982\) 30.2374 + 8.87850i 0.964914 + 0.283324i
\(983\) −0.809863 5.63272i −0.0258306 0.179656i 0.972822 0.231556i \(-0.0743815\pi\)
−0.998652 + 0.0518996i \(0.983472\pi\)
\(984\) −0.583350 + 1.27736i −0.0185965 + 0.0407207i
\(985\) −2.42455 + 16.8631i −0.0772525 + 0.537303i
\(986\) 24.0798 + 15.4751i 0.766857 + 0.492829i
\(987\) −0.374205 0.431856i −0.0119111 0.0137461i
\(988\) −18.3628 −0.584198
\(989\) −10.6967 + 27.6520i −0.340135 + 0.879282i
\(990\) −50.6443 −1.60958
\(991\) 26.5366 + 30.6249i 0.842964 + 0.972833i 0.999891 0.0147777i \(-0.00470405\pi\)
−0.156927 + 0.987610i \(0.550159\pi\)
\(992\) 5.96897 + 3.83602i 0.189515 + 0.121794i
\(993\) 0.144727 1.00660i 0.00459276 0.0319434i
\(994\) 4.24498 9.29521i 0.134643 0.294826i
\(995\) −14.5322 101.074i −0.460703 3.20426i
\(996\) 0.216293 + 0.0635095i 0.00685352 + 0.00201238i
\(997\) 19.9269 12.8062i 0.631091 0.405578i −0.185622 0.982621i \(-0.559430\pi\)
0.816713 + 0.577043i \(0.195794\pi\)
\(998\) −3.78873 8.29616i −0.119930 0.262610i
\(999\) 8.73441 2.56465i 0.276344 0.0811420i
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 322.2.i.d.197.2 yes 40
23.4 even 11 7406.2.a.bu.1.8 20
23.16 even 11 inner 322.2.i.d.85.2 40
23.19 odd 22 7406.2.a.bv.1.8 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.d.85.2 40 23.16 even 11 inner
322.2.i.d.197.2 yes 40 1.1 even 1 trivial
7406.2.a.bu.1.8 20 23.4 even 11
7406.2.a.bv.1.8 20 23.19 odd 22