Properties

Label 572.2.bn.a.95.17
Level $572$
Weight $2$
Character 572.95
Analytic conductor $4.567$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [572,2,Mod(95,572)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(572, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 21, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("572.95");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 572.bn (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.56744299562\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(80\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.17
Character \(\chi\) \(=\) 572.95
Dual form 572.2.bn.a.283.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.17222 - 0.791139i) q^{2} +(-1.67971 + 1.51242i) q^{3} +(0.748199 + 1.85478i) q^{4} +(-0.747543 - 1.02890i) q^{5} +(3.16552 - 0.444002i) q^{6} +(0.696450 + 0.627087i) q^{7} +(0.590331 - 2.76614i) q^{8} +(0.220432 - 2.09727i) q^{9} +O(q^{10})\) \(q+(-1.17222 - 0.791139i) q^{2} +(-1.67971 + 1.51242i) q^{3} +(0.748199 + 1.85478i) q^{4} +(-0.747543 - 1.02890i) q^{5} +(3.16552 - 0.444002i) q^{6} +(0.696450 + 0.627087i) q^{7} +(0.590331 - 2.76614i) q^{8} +(0.220432 - 2.09727i) q^{9} +(0.0622786 + 1.79751i) q^{10} +(-3.23295 + 0.740297i) q^{11} +(-4.06195 - 1.98389i) q^{12} +(-3.42643 + 1.12230i) q^{13} +(-0.320280 - 1.28607i) q^{14} +(2.81178 + 0.597663i) q^{15} +(-2.88040 + 2.77549i) q^{16} +(1.96269 - 4.40828i) q^{17} +(-1.91762 + 2.28407i) q^{18} +(1.19924 + 5.64197i) q^{19} +(1.34908 - 2.15635i) q^{20} -2.11825 q^{21} +(4.37541 + 1.68992i) q^{22} +(4.35390 + 2.51373i) q^{23} +(3.19196 + 5.53913i) q^{24} +(1.04526 - 3.21698i) q^{25} +(4.90443 + 1.39521i) q^{26} +(-1.18398 - 1.62961i) q^{27} +(-0.642022 + 1.76095i) q^{28} +(0.772565 - 3.63463i) q^{29} +(-2.82319 - 2.92510i) q^{30} +(-6.92979 - 5.03479i) q^{31} +(5.57225 - 0.974689i) q^{32} +(4.31077 - 6.13304i) q^{33} +(-5.78827 + 3.61471i) q^{34} +(0.124586 - 1.18535i) q^{35} +(4.05489 - 1.16032i) q^{36} +(0.547349 - 2.57507i) q^{37} +(3.05781 - 7.56240i) q^{38} +(4.05803 - 7.06732i) q^{39} +(-3.28739 + 1.46041i) q^{40} +(-5.27268 - 5.85591i) q^{41} +(2.48305 + 1.67583i) q^{42} +(0.975674 + 1.68992i) q^{43} +(-3.79198 - 5.44251i) q^{44} +(-2.32267 + 1.34099i) q^{45} +(-3.11503 - 6.39118i) q^{46} +(3.21620 - 9.89845i) q^{47} +(0.640533 - 9.01836i) q^{48} +(-0.639894 - 6.08818i) q^{49} +(-3.77036 + 2.94407i) q^{50} +(3.37040 + 10.3730i) q^{51} +(-4.64527 - 5.51557i) q^{52} +(8.09402 + 5.88065i) q^{53} +(0.0986389 + 2.84696i) q^{54} +(3.17846 + 2.77299i) q^{55} +(2.14574 - 1.55629i) q^{56} +(-10.5474 - 7.66312i) q^{57} +(-3.78111 + 3.64938i) q^{58} +(2.83256 - 3.14588i) q^{59} +(0.995243 + 5.66240i) q^{60} +(0.334477 - 0.751248i) q^{61} +(4.14003 + 11.3843i) q^{62} +(1.46869 - 1.32241i) q^{63} +(-7.30302 - 3.26587i) q^{64} +(3.71614 + 2.68651i) q^{65} +(-9.90526 + 3.77886i) q^{66} +(6.14277 - 10.6396i) q^{67} +(9.64486 + 0.342085i) q^{68} +(-11.1151 + 2.36259i) q^{69} +(-1.08382 + 1.29093i) q^{70} +(-9.97149 - 4.43959i) q^{71} +(-5.67120 - 1.84783i) q^{72} +(2.87323 + 8.84290i) q^{73} +(-2.67885 + 2.58552i) q^{74} +(3.10968 + 6.98446i) q^{75} +(-9.56733 + 6.44564i) q^{76} +(-2.71582 - 1.51176i) q^{77} +(-10.3481 + 5.07399i) q^{78} +(-2.68450 - 1.95040i) q^{79} +(5.00893 + 0.888856i) q^{80} +(10.6416 + 2.26194i) q^{81} +(1.54791 + 11.0358i) q^{82} +(-7.45896 - 10.2664i) q^{83} +(-1.58487 - 3.92888i) q^{84} +(-6.00290 + 1.27595i) q^{85} +(0.193254 - 2.75285i) q^{86} +(4.19939 + 7.27356i) q^{87} +(0.139251 + 9.37980i) q^{88} +(1.39647 + 0.806254i) q^{89} +(3.78359 + 0.265613i) q^{90} +(-3.09012 - 1.36705i) q^{91} +(-1.40482 + 9.95629i) q^{92} +(19.2547 - 2.02375i) q^{93} +(-11.6011 + 9.05870i) q^{94} +(4.90857 - 5.45152i) q^{95} +(-7.88562 + 10.0648i) q^{96} +(11.7420 + 1.23414i) q^{97} +(-4.06650 + 7.64294i) q^{98} +(0.839956 + 6.94354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(353\) \(365\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17222 0.791139i −0.828885 0.559419i
\(3\) −1.67971 + 1.51242i −0.969780 + 0.873194i −0.991959 0.126560i \(-0.959606\pi\)
0.0221792 + 0.999754i \(0.492940\pi\)
\(4\) 0.748199 + 1.85478i 0.374100 + 0.927388i
\(5\) −0.747543 1.02890i −0.334311 0.460140i 0.608458 0.793586i \(-0.291788\pi\)
−0.942769 + 0.333446i \(0.891788\pi\)
\(6\) 3.16552 0.444002i 1.29232 0.181263i
\(7\) 0.696450 + 0.627087i 0.263233 + 0.237016i 0.790169 0.612889i \(-0.209993\pi\)
−0.526936 + 0.849905i \(0.676659\pi\)
\(8\) 0.590331 2.76614i 0.208714 0.977977i
\(9\) 0.220432 2.09727i 0.0734772 0.699089i
\(10\) 0.0622786 + 1.79751i 0.0196942 + 0.568423i
\(11\) −3.23295 + 0.740297i −0.974771 + 0.223208i
\(12\) −4.06195 1.98389i −1.17258 0.572701i
\(13\) −3.42643 + 1.12230i −0.950322 + 0.311269i
\(14\) −0.320280 1.28607i −0.0855985 0.343717i
\(15\) 2.81178 + 0.597663i 0.725999 + 0.154316i
\(16\) −2.88040 + 2.77549i −0.720099 + 0.693872i
\(17\) 1.96269 4.40828i 0.476023 1.06917i −0.502790 0.864409i \(-0.667693\pi\)
0.978813 0.204757i \(-0.0656403\pi\)
\(18\) −1.91762 + 2.28407i −0.451988 + 0.538359i
\(19\) 1.19924 + 5.64197i 0.275124 + 1.29436i 0.871001 + 0.491282i \(0.163471\pi\)
−0.595877 + 0.803076i \(0.703195\pi\)
\(20\) 1.34908 2.15635i 0.301663 0.482175i
\(21\) −2.11825 −0.462240
\(22\) 4.37541 + 1.68992i 0.932840 + 0.360292i
\(23\) 4.35390 + 2.51373i 0.907852 + 0.524149i 0.879739 0.475456i \(-0.157717\pi\)
0.0281125 + 0.999605i \(0.491050\pi\)
\(24\) 3.19196 + 5.53913i 0.651557 + 1.13067i
\(25\) 1.04526 3.21698i 0.209052 0.643397i
\(26\) 4.90443 + 1.39521i 0.961837 + 0.273622i
\(27\) −1.18398 1.62961i −0.227857 0.313619i
\(28\) −0.642022 + 1.76095i −0.121331 + 0.332787i
\(29\) 0.772565 3.63463i 0.143462 0.674934i −0.846359 0.532613i \(-0.821210\pi\)
0.989821 0.142321i \(-0.0454566\pi\)
\(30\) −2.82319 2.92510i −0.515443 0.534048i
\(31\) −6.92979 5.03479i −1.24463 0.904275i −0.246730 0.969084i \(-0.579356\pi\)
−0.997898 + 0.0648096i \(0.979356\pi\)
\(32\) 5.57225 0.974689i 0.985044 0.172302i
\(33\) 4.31077 6.13304i 0.750409 1.06763i
\(34\) −5.78827 + 3.61471i −0.992680 + 0.619918i
\(35\) 0.124586 1.18535i 0.0210588 0.200361i
\(36\) 4.05489 1.16032i 0.675815 0.193387i
\(37\) 0.547349 2.57507i 0.0899836 0.423340i −0.909979 0.414655i \(-0.863902\pi\)
0.999962 0.00868452i \(-0.00276440\pi\)
\(38\) 3.05781 7.56240i 0.496043 1.22678i
\(39\) 4.05803 7.06732i 0.649805 1.13168i
\(40\) −3.28739 + 1.46041i −0.519782 + 0.230911i
\(41\) −5.27268 5.85591i −0.823455 0.914539i 0.174079 0.984732i \(-0.444305\pi\)
−0.997533 + 0.0701925i \(0.977639\pi\)
\(42\) 2.48305 + 1.67583i 0.383143 + 0.258586i
\(43\) 0.975674 + 1.68992i 0.148789 + 0.257710i 0.930780 0.365580i \(-0.119129\pi\)
−0.781991 + 0.623289i \(0.785796\pi\)
\(44\) −3.79198 5.44251i −0.571662 0.820489i
\(45\) −2.32267 + 1.34099i −0.346243 + 0.199903i
\(46\) −3.11503 6.39118i −0.459286 0.942329i
\(47\) 3.21620 9.89845i 0.469131 1.44384i −0.384581 0.923091i \(-0.625654\pi\)
0.853712 0.520746i \(-0.174346\pi\)
\(48\) 0.640533 9.01836i 0.0924530 1.30169i
\(49\) −0.639894 6.08818i −0.0914134 0.869741i
\(50\) −3.77036 + 2.94407i −0.533209 + 0.416354i
\(51\) 3.37040 + 10.3730i 0.471951 + 1.45251i
\(52\) −4.64527 5.51557i −0.644183 0.764872i
\(53\) 8.09402 + 5.88065i 1.11180 + 0.807770i 0.982946 0.183894i \(-0.0588703\pi\)
0.128853 + 0.991664i \(0.458870\pi\)
\(54\) 0.0986389 + 2.84696i 0.0134231 + 0.387422i
\(55\) 3.17846 + 2.77299i 0.428584 + 0.373910i
\(56\) 2.14574 1.55629i 0.286737 0.207968i
\(57\) −10.5474 7.66312i −1.39703 1.01500i
\(58\) −3.78111 + 3.64938i −0.496485 + 0.479188i
\(59\) 2.83256 3.14588i 0.368768 0.409558i −0.529990 0.848004i \(-0.677804\pi\)
0.898758 + 0.438446i \(0.144471\pi\)
\(60\) 0.995243 + 5.66240i 0.128485 + 0.731013i
\(61\) 0.334477 0.751248i 0.0428254 0.0961875i −0.890866 0.454266i \(-0.849901\pi\)
0.933691 + 0.358079i \(0.116568\pi\)
\(62\) 4.14003 + 11.3843i 0.525784 + 1.44581i
\(63\) 1.46869 1.32241i 0.185037 0.166608i
\(64\) −7.30302 3.26587i −0.912877 0.408234i
\(65\) 3.71614 + 2.68651i 0.460931 + 0.333220i
\(66\) −9.90526 + 3.77886i −1.21925 + 0.465145i
\(67\) 6.14277 10.6396i 0.750459 1.29983i −0.197142 0.980375i \(-0.563166\pi\)
0.947600 0.319458i \(-0.103501\pi\)
\(68\) 9.64486 + 0.342085i 1.16961 + 0.0414839i
\(69\) −11.1151 + 2.36259i −1.33810 + 0.284422i
\(70\) −1.08382 + 1.29093i −0.129541 + 0.154296i
\(71\) −9.97149 4.43959i −1.18340 0.526883i −0.281806 0.959471i \(-0.590934\pi\)
−0.901591 + 0.432589i \(0.857600\pi\)
\(72\) −5.67120 1.84783i −0.668357 0.217768i
\(73\) 2.87323 + 8.84290i 0.336286 + 1.03498i 0.966085 + 0.258224i \(0.0831374\pi\)
−0.629799 + 0.776758i \(0.716863\pi\)
\(74\) −2.67885 + 2.58552i −0.311410 + 0.300561i
\(75\) 3.10968 + 6.98446i 0.359075 + 0.806496i
\(76\) −9.56733 + 6.44564i −1.09745 + 0.739366i
\(77\) −2.71582 1.51176i −0.309496 0.172281i
\(78\) −10.3481 + 5.07399i −1.17170 + 0.574517i
\(79\) −2.68450 1.95040i −0.302030 0.219438i 0.426439 0.904516i \(-0.359768\pi\)
−0.728469 + 0.685079i \(0.759768\pi\)
\(80\) 5.00893 + 0.888856i 0.560015 + 0.0993772i
\(81\) 10.6416 + 2.26194i 1.18240 + 0.251327i
\(82\) 1.54791 + 11.0358i 0.170938 + 1.21870i
\(83\) −7.45896 10.2664i −0.818727 1.12688i −0.989918 0.141643i \(-0.954762\pi\)
0.171191 0.985238i \(-0.445238\pi\)
\(84\) −1.58487 3.92888i −0.172924 0.428676i
\(85\) −6.00290 + 1.27595i −0.651105 + 0.138397i
\(86\) 0.193254 2.75285i 0.0208391 0.296847i
\(87\) 4.19939 + 7.27356i 0.450222 + 0.779808i
\(88\) 0.139251 + 9.37980i 0.0148442 + 0.999890i
\(89\) 1.39647 + 0.806254i 0.148026 + 0.0854627i 0.572184 0.820126i \(-0.306096\pi\)
−0.424158 + 0.905588i \(0.639430\pi\)
\(90\) 3.78359 + 0.265613i 0.398825 + 0.0279981i
\(91\) −3.09012 1.36705i −0.323932 0.143305i
\(92\) −1.40482 + 9.95629i −0.146462 + 1.03802i
\(93\) 19.2547 2.02375i 1.99662 0.209853i
\(94\) −11.6011 + 9.05870i −1.19657 + 0.934334i
\(95\) 4.90857 5.45152i 0.503608 0.559314i
\(96\) −7.88562 + 10.0648i −0.804823 + 1.02723i
\(97\) 11.7420 + 1.23414i 1.19222 + 0.125307i 0.679781 0.733416i \(-0.262075\pi\)
0.512440 + 0.858723i \(0.328742\pi\)
\(98\) −4.06650 + 7.64294i −0.410779 + 0.772053i
\(99\) 0.839956 + 6.94354i 0.0844187 + 0.697852i
\(100\) 6.74885 0.468219i 0.674885 0.0468219i
\(101\) 1.04520 + 2.34757i 0.104002 + 0.233592i 0.958049 0.286603i \(-0.0925261\pi\)
−0.854048 + 0.520195i \(0.825859\pi\)
\(102\) 4.25565 14.8259i 0.421372 1.46799i
\(103\) −4.55836 + 1.48110i −0.449149 + 0.145937i −0.524853 0.851193i \(-0.675880\pi\)
0.0757040 + 0.997130i \(0.475880\pi\)
\(104\) 1.08169 + 10.1405i 0.106069 + 0.994359i
\(105\) 1.58348 + 2.17947i 0.154532 + 0.212695i
\(106\) −4.83556 13.2969i −0.469672 1.29151i
\(107\) −5.06692 5.62738i −0.489837 0.544019i 0.446656 0.894706i \(-0.352615\pi\)
−0.936493 + 0.350687i \(0.885948\pi\)
\(108\) 2.13671 3.41530i 0.205605 0.328637i
\(109\) −15.5413 −1.48859 −0.744294 0.667852i \(-0.767214\pi\)
−0.744294 + 0.667852i \(0.767214\pi\)
\(110\) −1.53204 5.76516i −0.146074 0.549686i
\(111\) 2.97520 + 5.15319i 0.282393 + 0.489119i
\(112\) −3.74652 + 0.126731i −0.354013 + 0.0119749i
\(113\) −2.87588 + 0.611287i −0.270540 + 0.0575050i −0.341184 0.939997i \(-0.610828\pi\)
0.0706440 + 0.997502i \(0.477495\pi\)
\(114\) 6.30126 + 17.3273i 0.590167 + 1.62285i
\(115\) −0.668344 6.35887i −0.0623234 0.592968i
\(116\) 7.31947 1.28649i 0.679595 0.119448i
\(117\) 1.59846 + 7.43353i 0.147778 + 0.687230i
\(118\) −5.80921 + 1.44671i −0.534781 + 0.133181i
\(119\) 4.13129 1.83937i 0.378715 0.168615i
\(120\) 3.31310 7.42496i 0.302443 0.677803i
\(121\) 9.90392 4.78668i 0.900356 0.435153i
\(122\) −0.986422 + 0.616010i −0.0893065 + 0.0557709i
\(123\) 17.7131 + 1.86173i 1.59714 + 0.167866i
\(124\) 4.15354 16.6202i 0.372999 1.49254i
\(125\) −10.1391 + 3.29439i −0.906868 + 0.294659i
\(126\) −2.76784 + 0.388222i −0.246578 + 0.0345856i
\(127\) 0.866859 + 8.24761i 0.0769213 + 0.731857i 0.963215 + 0.268733i \(0.0866049\pi\)
−0.886293 + 0.463124i \(0.846728\pi\)
\(128\) 5.97699 + 9.60602i 0.528296 + 0.849060i
\(129\) −4.19470 1.36294i −0.369323 0.120000i
\(130\) −2.23074 6.08916i −0.195648 0.534055i
\(131\) 9.70870 0.848253 0.424127 0.905603i \(-0.360581\pi\)
0.424127 + 0.905603i \(0.360581\pi\)
\(132\) 14.6007 + 3.40678i 1.27083 + 0.296522i
\(133\) −2.70280 + 4.68138i −0.234362 + 0.405927i
\(134\) −15.6181 + 7.61216i −1.34920 + 0.657590i
\(135\) −0.791637 + 2.43641i −0.0681333 + 0.209693i
\(136\) −11.0353 8.03142i −0.946266 0.688689i
\(137\) −6.59955 + 14.8228i −0.563838 + 1.26640i 0.376582 + 0.926383i \(0.377099\pi\)
−0.940419 + 0.340017i \(0.889567\pi\)
\(138\) 14.8985 + 6.02411i 1.26824 + 0.512806i
\(139\) −11.8691 + 13.1820i −1.00672 + 1.11808i −0.0137297 + 0.999906i \(0.504370\pi\)
−0.992993 + 0.118173i \(0.962296\pi\)
\(140\) 2.29178 0.655803i 0.193691 0.0554254i
\(141\) 9.56829 + 21.4907i 0.805795 + 1.80985i
\(142\) 8.17644 + 13.0930i 0.686152 + 1.09874i
\(143\) 10.2467 6.16491i 0.856868 0.515535i
\(144\) 5.18600 + 6.65276i 0.432167 + 0.554397i
\(145\) −4.31721 + 1.92215i −0.358525 + 0.159626i
\(146\) 3.62790 12.6389i 0.300247 1.04601i
\(147\) 10.2827 + 9.25858i 0.848103 + 0.763635i
\(148\) 5.18571 0.911459i 0.426263 0.0749215i
\(149\) −6.47003 2.88064i −0.530046 0.235992i 0.124222 0.992254i \(-0.460356\pi\)
−0.654268 + 0.756263i \(0.727023\pi\)
\(150\) 1.88044 10.6475i 0.153538 0.869366i
\(151\) −5.00064 1.62481i −0.406946 0.132225i 0.0983888 0.995148i \(-0.468631\pi\)
−0.505335 + 0.862923i \(0.668631\pi\)
\(152\) 16.3144 + 0.0133765i 1.32327 + 0.00108498i
\(153\) −8.81270 5.08801i −0.712464 0.411342i
\(154\) 1.98753 + 3.92070i 0.160159 + 0.315939i
\(155\) 10.8938i 0.875012i
\(156\) 16.1445 + 2.23897i 1.29260 + 0.179261i
\(157\) 7.23929 22.2802i 0.577758 1.77816i −0.0488318 0.998807i \(-0.515550\pi\)
0.626590 0.779349i \(-0.284450\pi\)
\(158\) 1.60379 + 4.41012i 0.127590 + 0.350850i
\(159\) −22.4896 + 2.36375i −1.78354 + 0.187458i
\(160\) −5.16836 5.00469i −0.408594 0.395656i
\(161\) 1.45595 + 4.48096i 0.114745 + 0.353149i
\(162\) −10.6848 11.0705i −0.839476 0.869779i
\(163\) −2.43315 + 23.1499i −0.190579 + 1.81324i 0.313504 + 0.949587i \(0.398497\pi\)
−0.504083 + 0.863655i \(0.668170\pi\)
\(164\) 6.91638 14.1610i 0.540079 1.10579i
\(165\) −9.53280 + 0.149340i −0.742128 + 0.0116261i
\(166\) 0.621414 + 17.9355i 0.0482311 + 1.39207i
\(167\) −5.66789 12.7303i −0.438594 0.985099i −0.988687 0.149995i \(-0.952074\pi\)
0.550092 0.835104i \(-0.314592\pi\)
\(168\) −1.25047 + 5.85936i −0.0964757 + 0.452060i
\(169\) 10.4809 7.69095i 0.806223 0.591612i
\(170\) 8.04617 + 3.25342i 0.617113 + 0.249526i
\(171\) 12.0971 1.27145i 0.925086 0.0972305i
\(172\) −2.40442 + 3.07405i −0.183335 + 0.234394i
\(173\) −1.18002 5.55155i −0.0897151 0.422076i −0.999968 0.00802328i \(-0.997446\pi\)
0.910253 0.414053i \(-0.135887\pi\)
\(174\) 0.831783 11.8485i 0.0630573 0.898234i
\(175\) 2.74530 1.58500i 0.207525 0.119815i
\(176\) 7.25749 11.1054i 0.547054 0.837098i
\(177\) 9.56817i 0.719187i
\(178\) −0.999114 2.04991i −0.0748868 0.153647i
\(179\) 9.44858 8.50754i 0.706220 0.635883i −0.235659 0.971836i \(-0.575725\pi\)
0.941879 + 0.335952i \(0.109058\pi\)
\(180\) −4.22506 3.30470i −0.314918 0.246318i
\(181\) −12.3909 + 9.00249i −0.921005 + 0.669150i −0.943774 0.330591i \(-0.892752\pi\)
0.0227687 + 0.999741i \(0.492752\pi\)
\(182\) 2.54077 + 4.04719i 0.188335 + 0.299998i
\(183\) 0.574375 + 1.76775i 0.0424590 + 0.130676i
\(184\) 9.52356 10.5596i 0.702086 0.778461i
\(185\) −3.05867 + 1.36181i −0.224878 + 0.100122i
\(186\) −24.1718 12.8609i −1.77236 0.943004i
\(187\) −3.08185 + 15.7047i −0.225367 + 1.14844i
\(188\) 20.7658 1.44068i 1.51450 0.105072i
\(189\) 0.197323 1.87740i 0.0143531 0.136561i
\(190\) −10.0668 + 2.50702i −0.730324 + 0.181878i
\(191\) 1.33708 + 1.20392i 0.0967480 + 0.0871123i 0.716085 0.698013i \(-0.245932\pi\)
−0.619338 + 0.785125i \(0.712599\pi\)
\(192\) 17.2063 5.55949i 1.24176 0.401221i
\(193\) −0.436753 4.15543i −0.0314382 0.299114i −0.998931 0.0462173i \(-0.985283\pi\)
0.967493 0.252897i \(-0.0813833\pi\)
\(194\) −12.7878 10.7362i −0.918114 0.770817i
\(195\) −10.3051 + 1.10780i −0.737967 + 0.0793314i
\(196\) 10.8135 5.74204i 0.772390 0.410145i
\(197\) 6.66397 11.5423i 0.474788 0.822357i −0.524795 0.851229i \(-0.675858\pi\)
0.999583 + 0.0288717i \(0.00919144\pi\)
\(198\) 4.50869 8.80388i 0.320419 0.625664i
\(199\) −3.38630 + 1.95508i −0.240048 + 0.138592i −0.615199 0.788372i \(-0.710924\pi\)
0.375151 + 0.926964i \(0.377591\pi\)
\(200\) −8.28156 4.79042i −0.585595 0.338734i
\(201\) 5.77342 + 27.1618i 0.407226 + 1.91585i
\(202\) 0.632042 3.57877i 0.0444703 0.251801i
\(203\) 2.81728 2.04688i 0.197734 0.143663i
\(204\) −16.7179 + 14.0124i −1.17049 + 0.981067i
\(205\) −2.08361 + 9.80263i −0.145526 + 0.684645i
\(206\) 6.51516 + 1.87012i 0.453933 + 0.130297i
\(207\) 6.23169 8.57719i 0.433133 0.596156i
\(208\) 6.75456 12.7427i 0.468345 0.883546i
\(209\) −8.05381 17.3524i −0.557094 1.20029i
\(210\) −0.131922 3.80758i −0.00910345 0.262748i
\(211\) 7.45608 3.31966i 0.513298 0.228535i −0.133707 0.991021i \(-0.542688\pi\)
0.647005 + 0.762486i \(0.276021\pi\)
\(212\) −4.85135 + 19.4125i −0.333192 + 1.33326i
\(213\) 23.4637 7.62381i 1.60771 0.522375i
\(214\) 1.48750 + 10.6052i 0.101684 + 0.724954i
\(215\) 1.00940 2.26716i 0.0688408 0.154619i
\(216\) −5.20667 + 2.31304i −0.354269 + 0.157383i
\(217\) −1.66901 7.85206i −0.113300 0.533032i
\(218\) 18.2178 + 12.2953i 1.23387 + 0.832745i
\(219\) −18.2003 10.5080i −1.22986 0.710062i
\(220\) −2.76516 + 7.97009i −0.186427 + 0.537343i
\(221\) −1.77764 + 17.3074i −0.119577 + 1.16422i
\(222\) 0.589304 8.39446i 0.0395515 0.563400i
\(223\) −5.50619 6.11524i −0.368722 0.409507i 0.530020 0.847985i \(-0.322184\pi\)
−0.898742 + 0.438478i \(0.855518\pi\)
\(224\) 4.49201 + 2.81546i 0.300135 + 0.188116i
\(225\) −6.51646 2.90132i −0.434431 0.193421i
\(226\) 3.85477 + 1.55866i 0.256416 + 0.103680i
\(227\) −5.88252 5.29664i −0.390436 0.351551i 0.450412 0.892821i \(-0.351277\pi\)
−0.840849 + 0.541270i \(0.817944\pi\)
\(228\) 6.32183 25.2966i 0.418674 1.67531i
\(229\) −2.37290 + 3.26602i −0.156806 + 0.215825i −0.880191 0.474621i \(-0.842585\pi\)
0.723385 + 0.690445i \(0.242585\pi\)
\(230\) −4.24730 + 7.98275i −0.280059 + 0.526367i
\(231\) 6.84819 1.56813i 0.450578 0.103176i
\(232\) −9.59782 4.28266i −0.630128 0.281170i
\(233\) −14.2911 + 19.6700i −0.936239 + 1.28862i 0.0211365 + 0.999777i \(0.493272\pi\)
−0.957376 + 0.288846i \(0.906728\pi\)
\(234\) 4.00721 9.97834i 0.261959 0.652305i
\(235\) −12.5888 + 4.09035i −0.821203 + 0.266825i
\(236\) 7.95422 + 2.90003i 0.517776 + 0.188776i
\(237\) 7.45900 0.783972i 0.484514 0.0509245i
\(238\) −6.29798 1.11228i −0.408237 0.0720983i
\(239\) −13.5743 4.41055i −0.878046 0.285295i −0.164901 0.986310i \(-0.552730\pi\)
−0.713146 + 0.701016i \(0.752730\pi\)
\(240\) −9.75785 + 6.08256i −0.629867 + 0.392628i
\(241\) −4.02059 6.96386i −0.258989 0.448582i 0.706982 0.707231i \(-0.250056\pi\)
−0.965971 + 0.258649i \(0.916723\pi\)
\(242\) −15.3965 2.22433i −0.989725 0.142985i
\(243\) −16.0624 + 9.27365i −1.03041 + 0.594905i
\(244\) 1.64365 + 0.0582972i 0.105224 + 0.00373209i
\(245\) −5.78581 + 5.20957i −0.369642 + 0.332827i
\(246\) −19.2908 16.1959i −1.22994 1.03261i
\(247\) −10.4411 17.9859i −0.664350 1.14442i
\(248\) −18.0178 + 16.1966i −1.14413 + 1.02848i
\(249\) 28.0559 + 5.96346i 1.77797 + 0.377919i
\(250\) 14.4916 + 4.15968i 0.916527 + 0.263081i
\(251\) −15.2312 1.60086i −0.961385 0.101046i −0.389185 0.921160i \(-0.627243\pi\)
−0.572200 + 0.820114i \(0.693910\pi\)
\(252\) 3.55165 + 1.73466i 0.223733 + 0.109273i
\(253\) −15.9369 4.90357i −1.00194 0.308285i
\(254\) 5.50885 10.3538i 0.345656 0.649656i
\(255\) 8.15334 11.2221i 0.510582 0.702755i
\(256\) 0.593352 15.9890i 0.0370845 0.999312i
\(257\) 4.69799 + 0.998589i 0.293053 + 0.0622903i 0.352092 0.935965i \(-0.385470\pi\)
−0.0590394 + 0.998256i \(0.518804\pi\)
\(258\) 3.83884 + 4.91626i 0.238996 + 0.306073i
\(259\) 1.99600 1.45018i 0.124025 0.0901095i
\(260\) −2.20246 + 8.90266i −0.136591 + 0.552119i
\(261\) −7.45250 2.42146i −0.461298 0.149885i
\(262\) −11.3807 7.68093i −0.703104 0.474529i
\(263\) −8.74455 + 15.1460i −0.539212 + 0.933943i 0.459735 + 0.888056i \(0.347945\pi\)
−0.998947 + 0.0458864i \(0.985389\pi\)
\(264\) −14.4201 15.5447i −0.887493 0.956711i
\(265\) 12.7240i 0.781630i
\(266\) 6.87189 3.34932i 0.421343 0.205360i
\(267\) −3.56506 + 0.757776i −0.218178 + 0.0463751i
\(268\) 24.3301 + 3.43293i 1.48620 + 0.209700i
\(269\) −9.77921 4.35398i −0.596249 0.265467i 0.0863447 0.996265i \(-0.472481\pi\)
−0.682594 + 0.730798i \(0.739148\pi\)
\(270\) 2.85551 2.22971i 0.173781 0.135696i
\(271\) −1.48525 + 6.98756i −0.0902226 + 0.424464i 0.909734 + 0.415191i \(0.136285\pi\)
−0.999957 + 0.00927315i \(0.997048\pi\)
\(272\) 6.58179 + 18.1450i 0.399080 + 1.10020i
\(273\) 7.25804 2.37730i 0.439276 0.143881i
\(274\) 19.4630 12.1545i 1.17581 0.734278i
\(275\) −0.997754 + 11.1741i −0.0601668 + 0.673826i
\(276\) −12.6984 18.8483i −0.764352 1.13454i
\(277\) −7.16806 0.753393i −0.430687 0.0452670i −0.113295 0.993561i \(-0.536140\pi\)
−0.317392 + 0.948294i \(0.602807\pi\)
\(278\) 24.3419 6.06206i 1.45993 0.363578i
\(279\) −12.0868 + 13.4238i −0.723620 + 0.803661i
\(280\) −3.20530 1.04437i −0.191554 0.0624132i
\(281\) 8.78893 6.38553i 0.524304 0.380929i −0.293919 0.955830i \(-0.594960\pi\)
0.818223 + 0.574901i \(0.194960\pi\)
\(282\) 5.78601 32.7617i 0.344552 1.95093i
\(283\) −8.47208 9.40920i −0.503613 0.559319i 0.436710 0.899602i \(-0.356144\pi\)
−0.940323 + 0.340283i \(0.889477\pi\)
\(284\) 0.773792 21.8166i 0.0459161 1.29458i
\(285\) 16.5808i 0.982159i
\(286\) −16.8886 0.879896i −0.998646 0.0520293i
\(287\) 7.38478i 0.435910i
\(288\) −0.815882 11.9013i −0.0480763 0.701294i
\(289\) −4.20556 4.67074i −0.247386 0.274750i
\(290\) 6.58141 + 1.16234i 0.386474 + 0.0682547i
\(291\) −21.5897 + 15.6858i −1.26561 + 0.919519i
\(292\) −14.2519 + 11.9455i −0.834027 + 0.699055i
\(293\) −11.1918 + 12.4298i −0.653834 + 0.726157i −0.975329 0.220755i \(-0.929148\pi\)
0.321495 + 0.946911i \(0.395815\pi\)
\(294\) −4.72876 18.9881i −0.275787 1.10741i
\(295\) −5.35427 0.562756i −0.311738 0.0327649i
\(296\) −6.79989 3.03419i −0.395235 0.176359i
\(297\) 5.03415 + 4.39195i 0.292111 + 0.254847i
\(298\) 5.30531 + 8.49544i 0.307329 + 0.492128i
\(299\) −17.7395 3.72675i −1.02590 0.215523i
\(300\) −10.6280 + 10.9935i −0.613605 + 0.634712i
\(301\) −0.380216 + 1.78877i −0.0219153 + 0.103103i
\(302\) 4.57640 + 5.86083i 0.263342 + 0.337253i
\(303\) −5.30613 2.36244i −0.304829 0.135719i
\(304\) −19.1135 12.9226i −1.09623 0.741164i
\(305\) −1.02300 + 0.217445i −0.0585767 + 0.0124509i
\(306\) 6.30510 + 12.9363i 0.360438 + 0.739521i
\(307\) 15.7278i 0.897633i −0.893624 0.448816i \(-0.851846\pi\)
0.893624 0.448816i \(-0.148154\pi\)
\(308\) 0.772002 6.16833i 0.0439889 0.351473i
\(309\) 5.41667 9.38195i 0.308144 0.533721i
\(310\) 8.61851 12.7699i 0.489499 0.725284i
\(311\) 17.9247 + 5.82407i 1.01641 + 0.330253i 0.769406 0.638761i \(-0.220553\pi\)
0.247008 + 0.969013i \(0.420553\pi\)
\(312\) −17.1536 15.3971i −0.971131 0.871690i
\(313\) 17.4239 12.6592i 0.984855 0.715539i 0.0260664 0.999660i \(-0.491702\pi\)
0.958788 + 0.284121i \(0.0917019\pi\)
\(314\) −26.1128 + 20.3901i −1.47363 + 1.15068i
\(315\) −2.45854 0.522579i −0.138523 0.0294440i
\(316\) 1.60902 6.43844i 0.0905146 0.362191i
\(317\) 10.6457 14.6526i 0.597923 0.822971i −0.397593 0.917562i \(-0.630154\pi\)
0.995516 + 0.0945912i \(0.0301544\pi\)
\(318\) 28.2328 + 15.0215i 1.58322 + 0.842366i
\(319\) 0.193044 + 12.3225i 0.0108084 + 0.689928i
\(320\) 2.09905 + 9.95549i 0.117340 + 0.556529i
\(321\) 17.0219 + 1.78907i 0.950068 + 0.0998562i
\(322\) 1.83836 6.40453i 0.102448 0.356911i
\(323\) 27.2251 + 5.78688i 1.51485 + 0.321991i
\(324\) 3.76664 + 21.4302i 0.209258 + 1.19057i
\(325\) 0.0288918 + 12.1959i 0.00160263 + 0.676505i
\(326\) 21.1670 25.2118i 1.17233 1.39635i
\(327\) 26.1049 23.5049i 1.44360 1.29982i
\(328\) −19.3109 + 11.1280i −1.06626 + 0.614443i
\(329\) 8.44711 4.87694i 0.465704 0.268874i
\(330\) 11.2927 + 7.36671i 0.621642 + 0.405524i
\(331\) 2.60738 + 4.51611i 0.143314 + 0.248228i 0.928743 0.370725i \(-0.120891\pi\)
−0.785428 + 0.618953i \(0.787557\pi\)
\(332\) 13.4610 21.5160i 0.738771 1.18084i
\(333\) −5.27996 1.71556i −0.289340 0.0940123i
\(334\) −3.42741 + 19.4068i −0.187539 + 1.06189i
\(335\) −15.5391 + 1.63323i −0.848992 + 0.0892326i
\(336\) 6.10139 5.87917i 0.332858 0.320735i
\(337\) 16.0385 5.21122i 0.873671 0.283873i 0.162344 0.986734i \(-0.448094\pi\)
0.711327 + 0.702861i \(0.248094\pi\)
\(338\) −18.3705 + 0.723644i −0.999225 + 0.0393611i
\(339\) 3.90612 5.37631i 0.212151 0.292001i
\(340\) −6.85797 10.1794i −0.371926 0.552054i
\(341\) 26.1309 + 11.1471i 1.41507 + 0.603650i
\(342\) −15.1863 8.08004i −0.821182 0.436918i
\(343\) 7.22813 9.94867i 0.390282 0.537178i
\(344\) 5.25051 1.70124i 0.283089 0.0917245i
\(345\) 10.7399 + 9.67023i 0.578216 + 0.520628i
\(346\) −3.00880 + 7.44119i −0.161754 + 0.400041i
\(347\) 4.83435 + 2.15239i 0.259522 + 0.115546i 0.532373 0.846510i \(-0.321300\pi\)
−0.272852 + 0.962056i \(0.587967\pi\)
\(348\) −10.3488 + 13.2310i −0.554757 + 0.709257i
\(349\) 7.58617 + 8.42530i 0.406079 + 0.450996i 0.911146 0.412084i \(-0.135199\pi\)
−0.505067 + 0.863080i \(0.668532\pi\)
\(350\) −4.47205 0.313944i −0.239041 0.0167810i
\(351\) 5.88574 + 4.25498i 0.314158 + 0.227114i
\(352\) −17.2932 + 7.27624i −0.921733 + 0.387825i
\(353\) −2.66997 1.54151i −0.142108 0.0820462i 0.427260 0.904129i \(-0.359479\pi\)
−0.569368 + 0.822083i \(0.692812\pi\)
\(354\) 7.56975 11.2160i 0.402327 0.596123i
\(355\) 2.88620 + 13.5785i 0.153183 + 0.720671i
\(356\) −0.450581 + 3.19338i −0.0238807 + 0.169249i
\(357\) −4.15747 + 9.33783i −0.220037 + 0.494211i
\(358\) −17.8065 + 2.49757i −0.941101 + 0.132001i
\(359\) 4.79962 1.55949i 0.253314 0.0823069i −0.179607 0.983738i \(-0.557483\pi\)
0.432922 + 0.901432i \(0.357483\pi\)
\(360\) 2.33823 + 7.21645i 0.123235 + 0.380340i
\(361\) −13.0363 + 5.80415i −0.686123 + 0.305481i
\(362\) 21.6470 0.750007i 1.13774 0.0394195i
\(363\) −9.39624 + 23.0191i −0.493174 + 1.20819i
\(364\) 0.223542 6.75430i 0.0117168 0.354022i
\(365\) 6.95063 9.56672i 0.363813 0.500745i
\(366\) 0.725237 2.52660i 0.0379088 0.132067i
\(367\) 5.68263 26.7347i 0.296631 1.39554i −0.537170 0.843474i \(-0.680507\pi\)
0.833801 0.552065i \(-0.186160\pi\)
\(368\) −19.5178 + 4.84367i −1.01743 + 0.252494i
\(369\) −13.4437 + 9.76739i −0.699849 + 0.508470i
\(370\) 4.66281 + 0.823494i 0.242408 + 0.0428114i
\(371\) 1.94941 + 9.17123i 0.101208 + 0.476147i
\(372\) 18.1600 + 34.1990i 0.941551 + 1.77314i
\(373\) 16.7865 9.69172i 0.869174 0.501818i 0.00210060 0.999998i \(-0.499331\pi\)
0.867074 + 0.498180i \(0.165998\pi\)
\(374\) 16.0372 15.9712i 0.829265 0.825852i
\(375\) 12.0482 20.8681i 0.622168 1.07763i
\(376\) −25.4818 14.7398i −1.31413 0.760148i
\(377\) 1.43199 + 13.3209i 0.0737515 + 0.686060i
\(378\) −1.71659 + 2.04462i −0.0882919 + 0.105164i
\(379\) 2.88728 + 27.4706i 0.148310 + 1.41107i 0.775078 + 0.631866i \(0.217711\pi\)
−0.626768 + 0.779206i \(0.715623\pi\)
\(380\) 13.7839 + 5.02548i 0.707101 + 0.257802i
\(381\) −13.9299 12.5425i −0.713649 0.642573i
\(382\) −0.614892 2.46907i −0.0314606 0.126329i
\(383\) 3.20393 30.4833i 0.163713 1.55763i −0.536629 0.843818i \(-0.680302\pi\)
0.700342 0.713808i \(-0.253031\pi\)
\(384\) −24.5679 7.09562i −1.25372 0.362097i
\(385\) 0.474735 + 3.92442i 0.0241947 + 0.200007i
\(386\) −2.77555 + 5.21661i −0.141272 + 0.265518i
\(387\) 3.75927 1.67374i 0.191095 0.0850808i
\(388\) 6.49632 + 22.7022i 0.329801 + 1.15253i
\(389\) 2.66196 + 8.19268i 0.134967 + 0.415386i 0.995585 0.0938656i \(-0.0299224\pi\)
−0.860618 + 0.509251i \(0.829922\pi\)
\(390\) 12.9563 + 6.85421i 0.656069 + 0.347076i
\(391\) 19.6266 14.2596i 0.992560 0.721137i
\(392\) −17.2185 1.82401i −0.869665 0.0921265i
\(393\) −16.3078 + 14.6836i −0.822619 + 0.740689i
\(394\) −16.9432 + 8.25803i −0.853587 + 0.416033i
\(395\) 4.22011i 0.212337i
\(396\) −12.2503 + 6.75308i −0.615599 + 0.339355i
\(397\) 31.9910 18.4700i 1.60558 0.926984i 0.615241 0.788339i \(-0.289059\pi\)
0.990342 0.138644i \(-0.0442745\pi\)
\(398\) 5.51623 + 0.387247i 0.276503 + 0.0194109i
\(399\) −2.54028 11.9511i −0.127173 0.598303i
\(400\) 5.91793 + 12.1673i 0.295896 + 0.608365i
\(401\) −1.40018 + 0.147165i −0.0699218 + 0.00734908i −0.139425 0.990233i \(-0.544525\pi\)
0.0695029 + 0.997582i \(0.477859\pi\)
\(402\) 14.7210 36.4072i 0.734219 1.81583i
\(403\) 29.3950 + 9.47409i 1.46427 + 0.471938i
\(404\) −3.57219 + 3.69507i −0.177723 + 0.183837i
\(405\) −5.62773 12.6401i −0.279644 0.628091i
\(406\) −4.92184 + 0.170528i −0.244267 + 0.00846314i
\(407\) 0.136768 + 8.73028i 0.00677934 + 0.432744i
\(408\) 30.6829 3.19947i 1.51903 0.158397i
\(409\) −2.90315 + 27.6216i −0.143552 + 1.36580i 0.651218 + 0.758891i \(0.274258\pi\)
−0.794770 + 0.606911i \(0.792408\pi\)
\(410\) 10.1977 9.84241i 0.503628 0.486082i
\(411\) −11.3330 34.8793i −0.559014 1.72047i
\(412\) −6.15768 7.34658i −0.303367 0.361940i
\(413\) 3.94548 0.414686i 0.194144 0.0204054i
\(414\) −14.0907 + 5.12422i −0.692518 + 0.251842i
\(415\) −4.98723 + 15.3491i −0.244813 + 0.753458i
\(416\) −17.9991 + 9.59343i −0.882477 + 0.470356i
\(417\) 40.0928i 1.96335i
\(418\) −4.28733 + 26.7125i −0.209700 + 1.30655i
\(419\) −20.9890 12.1180i −1.02538 0.592002i −0.109721 0.993962i \(-0.534996\pi\)
−0.915657 + 0.401960i \(0.868329\pi\)
\(420\) −2.85768 + 4.56769i −0.139440 + 0.222880i
\(421\) −22.4797 7.30409i −1.09559 0.355980i −0.295188 0.955439i \(-0.595382\pi\)
−0.800405 + 0.599459i \(0.795382\pi\)
\(422\) −11.3665 2.00742i −0.553312 0.0977197i
\(423\) −20.0507 8.92716i −0.974900 0.434053i
\(424\) 21.0448 18.9176i 1.02203 0.918722i
\(425\) −12.1298 10.9218i −0.588384 0.529783i
\(426\) −33.5361 9.62624i −1.62483 0.466393i
\(427\) 0.704044 0.313461i 0.0340711 0.0151694i
\(428\) 6.64647 13.6084i 0.321269 0.657787i
\(429\) −7.88748 + 25.8524i −0.380811 + 1.24817i
\(430\) −2.97688 + 1.85903i −0.143558 + 0.0896504i
\(431\) −3.96554 8.90674i −0.191013 0.429023i 0.792497 0.609876i \(-0.208781\pi\)
−0.983510 + 0.180853i \(0.942114\pi\)
\(432\) 7.93330 + 1.40780i 0.381691 + 0.0677328i
\(433\) −21.6881 + 24.0871i −1.04227 + 1.15755i −0.0549978 + 0.998486i \(0.517515\pi\)
−0.987268 + 0.159067i \(0.949151\pi\)
\(434\) −4.25562 + 10.5248i −0.204276 + 0.505204i
\(435\) 4.34457 9.75807i 0.208306 0.467864i
\(436\) −11.6280 28.8257i −0.556880 1.38050i
\(437\) −8.96102 + 27.5792i −0.428664 + 1.31929i
\(438\) 13.0215 + 26.7166i 0.622193 + 1.27657i
\(439\) −7.95836 + 13.7843i −0.379832 + 0.657888i −0.991038 0.133584i \(-0.957352\pi\)
0.611206 + 0.791472i \(0.290685\pi\)
\(440\) 9.54682 7.15507i 0.455127 0.341105i
\(441\) −12.9096 −0.614743
\(442\) 15.7763 18.8817i 0.750404 0.898112i
\(443\) 14.7162 + 4.78158i 0.699187 + 0.227180i 0.636976 0.770883i \(-0.280185\pi\)
0.0622108 + 0.998063i \(0.480185\pi\)
\(444\) −7.33198 + 9.37394i −0.347960 + 0.444867i
\(445\) −0.214365 2.03955i −0.0101619 0.0966837i
\(446\) 1.61646 + 11.5246i 0.0765416 + 0.545704i
\(447\) 15.2245 4.94674i 0.720094 0.233973i
\(448\) −3.03820 6.85414i −0.143542 0.323828i
\(449\) 4.05612 + 0.426316i 0.191420 + 0.0201191i 0.199753 0.979846i \(-0.435986\pi\)
−0.00833319 + 0.999965i \(0.502653\pi\)
\(450\) 5.34338 + 8.55640i 0.251890 + 0.403353i
\(451\) 21.3814 + 15.0285i 1.00681 + 0.707665i
\(452\) −3.28553 4.87675i −0.154538 0.229383i
\(453\) 10.8570 4.83385i 0.510106 0.227114i
\(454\) 2.70523 + 10.8627i 0.126963 + 0.509813i
\(455\) 0.903435 + 4.20136i 0.0423537 + 0.196963i
\(456\) −27.4237 + 24.6517i −1.28423 + 1.15442i
\(457\) 0.478080 + 4.54863i 0.0223636 + 0.212776i 0.999997 + 0.00245927i \(0.000782811\pi\)
−0.977633 + 0.210317i \(0.932551\pi\)
\(458\) 5.36543 1.95120i 0.250710 0.0911735i
\(459\) −9.50758 + 2.02090i −0.443776 + 0.0943274i
\(460\) 11.2942 5.99733i 0.526596 0.279627i
\(461\) −18.2308 31.5766i −0.849091 1.47067i −0.882021 0.471211i \(-0.843817\pi\)
0.0329299 0.999458i \(-0.489516\pi\)
\(462\) −9.26819 3.57967i −0.431195 0.166541i
\(463\) 26.2983 1.22219 0.611093 0.791559i \(-0.290730\pi\)
0.611093 + 0.791559i \(0.290730\pi\)
\(464\) 7.86258 + 12.6134i 0.365011 + 0.585564i
\(465\) −16.4760 18.2984i −0.764055 0.848569i
\(466\) 32.3140 11.7513i 1.49691 0.544369i
\(467\) −22.7938 31.3729i −1.05477 1.45177i −0.884599 0.466352i \(-0.845568\pi\)
−0.170171 0.985415i \(-0.554432\pi\)
\(468\) −12.5916 + 8.52655i −0.582046 + 0.394140i
\(469\) 10.9501 3.55790i 0.505628 0.164288i
\(470\) 17.9929 + 5.16470i 0.829950 + 0.238230i
\(471\) 21.5371 + 48.3731i 0.992377 + 2.22891i
\(472\) −7.02978 9.69236i −0.323572 0.446127i
\(473\) −4.40534 4.74113i −0.202558 0.217997i
\(474\) −9.36382 4.98211i −0.430094 0.228836i
\(475\) 19.4037 + 2.03941i 0.890301 + 0.0935744i
\(476\) 6.50265 + 6.28641i 0.298048 + 0.288137i
\(477\) 14.1175 15.6790i 0.646395 0.717894i
\(478\) 12.4227 + 15.9093i 0.568200 + 0.727673i
\(479\) 5.09748 0.535767i 0.232910 0.0244798i 0.0126456 0.999920i \(-0.495975\pi\)
0.220264 + 0.975440i \(0.429308\pi\)
\(480\) 16.2505 + 0.589715i 0.741730 + 0.0269167i
\(481\) 1.01454 + 9.43761i 0.0462592 + 0.430318i
\(482\) −0.796367 + 11.3440i −0.0362735 + 0.516706i
\(483\) −9.22265 5.32470i −0.419645 0.242282i
\(484\) 16.2883 + 14.7882i 0.740379 + 0.672190i
\(485\) −7.50785 13.0040i −0.340914 0.590480i
\(486\) 26.1655 + 1.83685i 1.18689 + 0.0833214i
\(487\) −5.59762 + 1.18981i −0.253652 + 0.0539154i −0.332983 0.942933i \(-0.608055\pi\)
0.0793305 + 0.996848i \(0.474722\pi\)
\(488\) −1.88060 1.36869i −0.0851309 0.0619579i
\(489\) −30.9253 42.5650i −1.39849 1.92486i
\(490\) 10.9037 1.52938i 0.492580 0.0690904i
\(491\) 14.8097 + 3.14789i 0.668351 + 0.142062i 0.529577 0.848262i \(-0.322351\pi\)
0.138774 + 0.990324i \(0.455684\pi\)
\(492\) 9.79987 + 34.2469i 0.441812 + 1.54397i
\(493\) −14.5062 10.5394i −0.653325 0.474669i
\(494\) −1.99013 + 29.3438i −0.0895403 + 1.32024i
\(495\) 6.51633 6.05483i 0.292887 0.272144i
\(496\) 33.9345 4.73136i 1.52371 0.212444i
\(497\) −4.16063 9.34494i −0.186630 0.419178i
\(498\) −28.1697 29.1866i −1.26232 1.30788i
\(499\) 8.66833 + 26.6784i 0.388048 + 1.19429i 0.934245 + 0.356632i \(0.116075\pi\)
−0.546197 + 0.837657i \(0.683925\pi\)
\(500\) −13.6964 16.3409i −0.612523 0.730787i
\(501\) 28.7739 + 12.8110i 1.28552 + 0.572351i
\(502\) 16.5878 + 13.9266i 0.740350 + 0.621573i
\(503\) 9.99566 2.12464i 0.445685 0.0947332i 0.0203980 0.999792i \(-0.493507\pi\)
0.425287 + 0.905059i \(0.360173\pi\)
\(504\) −2.79096 4.84325i −0.124319 0.215735i
\(505\) 1.63409 2.83032i 0.0727159 0.125948i
\(506\) 14.8021 + 18.3563i 0.658034 + 0.816038i
\(507\) −5.97293 + 28.7700i −0.265267 + 1.27772i
\(508\) −14.6489 + 7.77869i −0.649940 + 0.345123i
\(509\) 6.66586 6.00197i 0.295459 0.266033i −0.508047 0.861330i \(-0.669632\pi\)
0.803506 + 0.595297i \(0.202966\pi\)
\(510\) −18.4357 + 6.70436i −0.816348 + 0.296874i
\(511\) −3.54420 + 7.96040i −0.156786 + 0.352147i
\(512\) −13.3450 + 18.2732i −0.589773 + 0.807569i
\(513\) 7.77435 8.63429i 0.343246 0.381213i
\(514\) −4.71706 4.88733i −0.208060 0.215571i
\(515\) 4.93148 + 3.58293i 0.217307 + 0.157883i
\(516\) −0.610522 8.79999i −0.0268767 0.387398i
\(517\) −3.07002 + 34.3821i −0.135019 + 1.51212i
\(518\) −3.48704 + 0.120816i −0.153212 + 0.00530834i
\(519\) 10.3783 + 7.54030i 0.455558 + 0.330983i
\(520\) 9.62500 8.69342i 0.422084 0.381232i
\(521\) 2.08577 + 6.41934i 0.0913792 + 0.281236i 0.986293 0.165003i \(-0.0527632\pi\)
−0.894914 + 0.446239i \(0.852763\pi\)
\(522\) 6.82025 + 8.73444i 0.298514 + 0.382296i
\(523\) −4.00531 38.1079i −0.175140 1.66634i −0.630615 0.776095i \(-0.717197\pi\)
0.455476 0.890248i \(-0.349469\pi\)
\(524\) 7.26404 + 18.0075i 0.317331 + 0.786660i
\(525\) −2.21412 + 6.81437i −0.0966322 + 0.297403i
\(526\) 22.2331 10.8363i 0.969411 0.472485i
\(527\) −35.7958 + 20.6667i −1.55929 + 0.900257i
\(528\) 4.60545 + 29.6301i 0.200427 + 1.28948i
\(529\) 1.13766 + 1.97048i 0.0494634 + 0.0856731i
\(530\) −10.0665 + 14.9153i −0.437259 + 0.647881i
\(531\) −5.97336 6.63409i −0.259222 0.287895i
\(532\) −10.7051 1.51048i −0.464127 0.0654875i
\(533\) 24.6386 + 14.1474i 1.06721 + 0.612790i
\(534\) 4.77854 + 1.93217i 0.206787 + 0.0836133i
\(535\) −2.00230 + 9.42008i −0.0865670 + 0.407265i
\(536\) −25.8043 23.2726i −1.11458 1.00522i
\(537\) −3.00392 + 28.5804i −0.129629 + 1.23333i
\(538\) 8.01878 + 12.8405i 0.345714 + 0.553595i
\(539\) 6.57581 + 19.2091i 0.283240 + 0.827394i
\(540\) −5.11130 + 0.354609i −0.219955 + 0.0152599i
\(541\) −16.8131 12.2154i −0.722850 0.525181i 0.164444 0.986387i \(-0.447417\pi\)
−0.887293 + 0.461205i \(0.847417\pi\)
\(542\) 7.26917 7.01591i 0.312237 0.301359i
\(543\) 7.19752 33.8617i 0.308875 1.45314i
\(544\) 6.63992 26.4771i 0.284684 1.13519i
\(545\) 11.6178 + 15.9905i 0.497651 + 0.684959i
\(546\) −10.3888 2.95539i −0.444599 0.126479i
\(547\) −4.00959 + 12.3402i −0.171438 + 0.527630i −0.999453 0.0330750i \(-0.989470\pi\)
0.828015 + 0.560705i \(0.189470\pi\)
\(548\) −32.4308 1.15026i −1.38538 0.0491366i
\(549\) −1.50184 0.867086i −0.0640969 0.0370063i
\(550\) 10.0099 12.3092i 0.426823 0.524866i
\(551\) 21.4330 0.913076
\(552\) −0.0263527 + 32.1406i −0.00112164 + 1.36799i
\(553\) −0.646549 3.04177i −0.0274941 0.129349i
\(554\) 7.80650 + 6.55407i 0.331667 + 0.278456i
\(555\) 3.07805 6.91342i 0.130656 0.293458i
\(556\) −33.3300 12.1518i −1.41351 0.515350i
\(557\) −11.0638 2.35168i −0.468787 0.0996438i −0.0325396 0.999470i \(-0.510360\pi\)
−0.436248 + 0.899827i \(0.643693\pi\)
\(558\) 24.7885 6.17327i 1.04938 0.261336i
\(559\) −5.23967 4.69539i −0.221614 0.198594i
\(560\) 2.93108 + 3.76008i 0.123861 + 0.158892i
\(561\) −18.5755 31.0404i −0.784257 1.31053i
\(562\) −15.3544 + 0.531986i −0.647686 + 0.0224405i
\(563\) −2.24480 + 21.3578i −0.0946069 + 0.900125i 0.839555 + 0.543275i \(0.182816\pi\)
−0.934162 + 0.356850i \(0.883851\pi\)
\(564\) −32.7015 + 33.8264i −1.37698 + 1.42435i
\(565\) 2.77880 + 2.50204i 0.116905 + 0.105262i
\(566\) 2.48716 + 17.7322i 0.104543 + 0.745342i
\(567\) 5.99291 + 8.24853i 0.251679 + 0.346406i
\(568\) −18.1670 + 24.9617i −0.762270 + 1.04737i
\(569\) −4.09955 + 3.69125i −0.171862 + 0.154745i −0.750573 0.660787i \(-0.770223\pi\)
0.578711 + 0.815533i \(0.303556\pi\)
\(570\) 13.1177 19.4363i 0.549439 0.814096i
\(571\) −39.1349 −1.63775 −0.818873 0.573974i \(-0.805401\pi\)
−0.818873 + 0.573974i \(0.805401\pi\)
\(572\) 19.1011 + 14.3927i 0.798656 + 0.601788i
\(573\) −4.06673 −0.169890
\(574\) −5.84238 + 8.65658i −0.243856 + 0.361319i
\(575\) 12.6376 11.3789i 0.527024 0.474534i
\(576\) −8.45922 + 14.5965i −0.352468 + 0.608186i
\(577\) 11.1123 + 15.2948i 0.462612 + 0.636731i 0.975048 0.221995i \(-0.0712568\pi\)
−0.512436 + 0.858725i \(0.671257\pi\)
\(578\) 1.23463 + 8.80232i 0.0513539 + 0.366128i
\(579\) 7.01835 + 6.31935i 0.291673 + 0.262623i
\(580\) −6.79529 6.56932i −0.282159 0.272776i
\(581\) 1.24311 11.8274i 0.0515730 0.490684i
\(582\) 37.7175 1.30680i 1.56344 0.0541687i
\(583\) −30.5210 13.0199i −1.26405 0.539228i
\(584\) 26.1568 2.72751i 1.08238 0.112865i
\(585\) 6.45348 7.20155i 0.266818 0.297747i
\(586\) 22.9530 5.71616i 0.948179 0.236132i
\(587\) −18.3125 3.89245i −0.755839 0.160658i −0.186152 0.982521i \(-0.559602\pi\)
−0.569686 + 0.821862i \(0.692935\pi\)
\(588\) −9.47910 + 25.9994i −0.390911 + 1.07220i
\(589\) 20.0957 45.1356i 0.828028 1.85978i
\(590\) 5.83116 + 4.89564i 0.240065 + 0.201550i
\(591\) 6.26328 + 29.4664i 0.257637 + 1.21209i
\(592\) 5.57050 + 8.93639i 0.228946 + 0.367283i
\(593\) −38.6362 −1.58660 −0.793298 0.608833i \(-0.791638\pi\)
−0.793298 + 0.608833i \(0.791638\pi\)
\(594\) −2.42649 9.13104i −0.0995600 0.374651i
\(595\) −4.98085 2.87570i −0.204195 0.117892i
\(596\) 0.502077 14.1558i 0.0205659 0.579843i
\(597\) 2.73110 8.40545i 0.111776 0.344012i
\(598\) 17.8462 + 18.4030i 0.729787 + 0.752554i
\(599\) −12.0128 16.5341i −0.490828 0.675567i 0.489713 0.871884i \(-0.337102\pi\)
−0.980540 + 0.196317i \(0.937102\pi\)
\(600\) 21.1557 4.47866i 0.863678 0.182840i
\(601\) −4.49663 + 21.1550i −0.183421 + 0.862929i 0.786134 + 0.618056i \(0.212080\pi\)
−0.969555 + 0.244873i \(0.921254\pi\)
\(602\) 1.86087 1.79603i 0.0758432 0.0732009i
\(603\) −20.9600 15.2283i −0.853557 0.620145i
\(604\) −0.727823 10.4908i −0.0296147 0.426863i
\(605\) −12.3286 6.61194i −0.501231 0.268813i
\(606\) 4.35094 + 6.96719i 0.176745 + 0.283023i
\(607\) −1.05011 + 9.99112i −0.0426226 + 0.405527i 0.952321 + 0.305097i \(0.0986887\pi\)
−0.994944 + 0.100431i \(0.967978\pi\)
\(608\) 12.1816 + 30.2696i 0.494030 + 1.22759i
\(609\) −1.63648 + 7.69905i −0.0663137 + 0.311981i
\(610\) 1.37121 + 0.554440i 0.0555186 + 0.0224486i
\(611\) 0.0888982 + 37.5259i 0.00359644 + 1.51814i
\(612\) 2.84347 20.1524i 0.114941 0.814614i
\(613\) 26.9474 + 29.9281i 1.08839 + 1.20878i 0.976603 + 0.215051i \(0.0689919\pi\)
0.111791 + 0.993732i \(0.464341\pi\)
\(614\) −12.4429 + 18.4364i −0.502153 + 0.744034i
\(615\) −11.3258 19.6168i −0.456700 0.791027i
\(616\) −5.78496 + 6.61988i −0.233083 + 0.266723i
\(617\) 11.0854 6.40013i 0.446280 0.257660i −0.259978 0.965615i \(-0.583715\pi\)
0.706258 + 0.707955i \(0.250382\pi\)
\(618\) −13.7720 + 6.71237i −0.553989 + 0.270011i
\(619\) −2.50992 + 7.72474i −0.100882 + 0.310484i −0.988742 0.149631i \(-0.952192\pi\)
0.887860 + 0.460114i \(0.152192\pi\)
\(620\) −20.2056 + 8.15074i −0.811476 + 0.327342i
\(621\) −1.05854 10.0714i −0.0424779 0.404151i
\(622\) −16.4040 21.0080i −0.657740 0.842343i
\(623\) 0.466983 + 1.43722i 0.0187093 + 0.0575812i
\(624\) 7.92653 + 31.6197i 0.317315 + 1.26580i
\(625\) −2.71363 1.97157i −0.108545 0.0788627i
\(626\) −30.4398 + 1.05465i −1.21662 + 0.0421523i
\(627\) 39.7721 + 16.9663i 1.58835 + 0.677568i
\(628\) 46.7413 3.24280i 1.86518 0.129402i
\(629\) −10.2774 7.46695i −0.409786 0.297727i
\(630\) 2.46852 + 2.55762i 0.0983481 + 0.101898i
\(631\) 17.2567 19.1655i 0.686979 0.762968i −0.294268 0.955723i \(-0.595076\pi\)
0.981247 + 0.192755i \(0.0617424\pi\)
\(632\) −6.97983 + 6.27431i −0.277643 + 0.249579i
\(633\) −7.50333 + 16.8528i −0.298231 + 0.669837i
\(634\) −24.0713 + 8.75380i −0.955995 + 0.347658i
\(635\) 7.83799 7.05735i 0.311041 0.280063i
\(636\) −21.2109 39.9446i −0.841068 1.58391i
\(637\) 9.02530 + 20.1426i 0.357596 + 0.798079i
\(638\) 9.52253 14.5974i 0.377000 0.577917i
\(639\) −11.5090 + 19.9342i −0.455290 + 0.788586i
\(640\) 5.41562 13.3307i 0.214071 0.526940i
\(641\) 27.5784 5.86196i 1.08928 0.231534i 0.371940 0.928257i \(-0.378693\pi\)
0.717340 + 0.696723i \(0.245359\pi\)
\(642\) −18.5380 15.5638i −0.731636 0.614256i
\(643\) 14.9634 + 6.66214i 0.590099 + 0.262729i 0.679989 0.733223i \(-0.261985\pi\)
−0.0898894 + 0.995952i \(0.528651\pi\)
\(644\) −7.22184 + 6.05312i −0.284580 + 0.238526i
\(645\) 1.73338 + 5.33480i 0.0682519 + 0.210058i
\(646\) −27.3356 28.3224i −1.07551 1.11433i
\(647\) −2.32706 5.22666i −0.0914861 0.205481i 0.862007 0.506897i \(-0.169207\pi\)
−0.953493 + 0.301416i \(0.902541\pi\)
\(648\) 12.5389 28.1008i 0.492575 1.10390i
\(649\) −6.82864 + 12.2674i −0.268048 + 0.481538i
\(650\) 9.61476 14.3191i 0.377122 0.561641i
\(651\) 14.6790 + 10.6649i 0.575316 + 0.417992i
\(652\) −44.7584 + 12.8078i −1.75288 + 0.501592i
\(653\) −48.0978 10.2235i −1.88221 0.400077i −0.884432 0.466668i \(-0.845454\pi\)
−0.997780 + 0.0665916i \(0.978788\pi\)
\(654\) −49.1963 + 6.90038i −1.92373 + 0.269826i
\(655\) −7.25767 9.98932i −0.283581 0.390315i
\(656\) 31.4404 + 2.23307i 1.22754 + 0.0871867i
\(657\) 19.1793 4.07668i 0.748254 0.159046i
\(658\) −13.7602 0.965986i −0.536429 0.0376581i
\(659\) 9.12703 + 15.8085i 0.355539 + 0.615811i 0.987210 0.159425i \(-0.0509641\pi\)
−0.631671 + 0.775236i \(0.717631\pi\)
\(660\) −7.40943 17.5695i −0.288412 0.683891i
\(661\) −10.0177 5.78371i −0.389643 0.224960i 0.292363 0.956308i \(-0.405559\pi\)
−0.682005 + 0.731347i \(0.738892\pi\)
\(662\) 0.516449 7.35667i 0.0200724 0.285925i
\(663\) −23.1901 31.7599i −0.900628 1.23345i
\(664\) −32.8014 + 14.5719i −1.27294 + 0.565500i
\(665\) 6.83715 0.718613i 0.265133 0.0278666i
\(666\) 4.83203 + 6.18820i 0.187237 + 0.239788i
\(667\) 12.5002 13.8828i 0.484008 0.537545i
\(668\) 19.3711 20.0375i 0.749491 0.775273i
\(669\) 18.4976 + 1.94417i 0.715157 + 0.0751661i
\(670\) 19.5074 + 10.3791i 0.753635 + 0.400979i
\(671\) −0.525201 + 2.67636i −0.0202752 + 0.103320i
\(672\) −11.8034 + 2.06463i −0.455326 + 0.0796449i
\(673\) −4.15665 9.33599i −0.160227 0.359876i 0.815536 0.578707i \(-0.196442\pi\)
−0.975763 + 0.218831i \(0.929776\pi\)
\(674\) −22.9234 6.57996i −0.882977 0.253451i
\(675\) −6.48000 + 2.10548i −0.249415 + 0.0810400i
\(676\) 22.1068 + 13.6854i 0.850262 + 0.526360i
\(677\) −3.67295 5.05539i −0.141163 0.194294i 0.732582 0.680679i \(-0.238315\pi\)
−0.873745 + 0.486385i \(0.838315\pi\)
\(678\) −8.83223 + 3.21194i −0.339200 + 0.123354i
\(679\) 7.40382 + 8.22277i 0.284132 + 0.315561i
\(680\) −0.0142322 + 17.3581i −0.000545780 + 0.665651i
\(681\) 17.8916 0.685609
\(682\) −21.8123 33.7400i −0.835234 1.29197i
\(683\) −17.2817 29.9327i −0.661264 1.14534i −0.980284 0.197595i \(-0.936687\pi\)
0.319020 0.947748i \(-0.396646\pi\)
\(684\) 11.4093 + 21.4861i 0.436245 + 0.821540i
\(685\) 20.1847 4.29040i 0.771219 0.163928i
\(686\) −16.3437 + 5.94358i −0.624007 + 0.226927i
\(687\) −0.953796 9.07477i −0.0363896 0.346224i
\(688\) −7.50067 2.15966i −0.285960 0.0823362i
\(689\) −34.3335 11.0658i −1.30800 0.421572i
\(690\) −4.93901 19.8324i −0.188025 0.755005i
\(691\) −4.69041 + 2.08831i −0.178432 + 0.0794429i −0.494008 0.869457i \(-0.664469\pi\)
0.315577 + 0.948900i \(0.397802\pi\)
\(692\) 9.41400 6.34234i 0.357866 0.241099i
\(693\) −3.76921 + 5.36255i −0.143181 + 0.203707i
\(694\) −3.96408 6.34772i −0.150475 0.240956i
\(695\) 22.4356 + 2.35808i 0.851031 + 0.0894470i
\(696\) 22.5987 7.32228i 0.856601 0.277550i
\(697\) −36.1631 + 11.7501i −1.36978 + 0.445067i
\(698\) −2.22708 15.8780i −0.0842964 0.600992i
\(699\) −5.74435 54.6538i −0.217271 2.06720i
\(700\) 4.99385 + 3.90602i 0.188750 + 0.147634i
\(701\) −21.3217 6.92783i −0.805308 0.261660i −0.122699 0.992444i \(-0.539155\pi\)
−0.682609 + 0.730783i \(0.739155\pi\)
\(702\) −3.53311 9.64421i −0.133349 0.363997i
\(703\) 15.1849 0.572709
\(704\) 26.0280 + 5.15200i 0.980967 + 0.194173i
\(705\) 14.9592 25.9101i 0.563396 0.975831i
\(706\) 1.91025 + 3.91930i 0.0718931 + 0.147505i
\(707\) −0.744195 + 2.29040i −0.0279883 + 0.0861392i
\(708\) −17.7468 + 7.15890i −0.666966 + 0.269048i
\(709\) 12.8626 28.8898i 0.483063 1.08498i −0.493500 0.869746i \(-0.664283\pi\)
0.976563 0.215232i \(-0.0690508\pi\)
\(710\) 7.35921 18.2004i 0.276186 0.683047i
\(711\) −4.68227 + 5.20018i −0.175599 + 0.195022i
\(712\) 3.05459 3.38688i 0.114476 0.126929i
\(713\) −17.5156 39.3406i −0.655963 1.47332i
\(714\) 12.2610 7.65686i 0.458856 0.286551i
\(715\) −14.0029 5.93429i −0.523679 0.221930i
\(716\) 22.8490 + 11.1597i 0.853908 + 0.417057i
\(717\) 29.4714 13.1215i 1.10063 0.490032i
\(718\) −6.85999 1.96910i −0.256013 0.0734861i
\(719\) 24.4944 + 22.0548i 0.913486 + 0.822506i 0.984575 0.174964i \(-0.0559808\pi\)
−0.0710890 + 0.997470i \(0.522647\pi\)
\(720\) 2.96829 10.3091i 0.110622 0.384198i
\(721\) −4.10345 1.82697i −0.152820 0.0680401i
\(722\) 19.8733 + 3.50981i 0.739609 + 0.130621i
\(723\) 17.2857 + 5.61645i 0.642861 + 0.208878i
\(724\) −25.9684 16.2466i −0.965109 0.603801i
\(725\) −10.8850 6.28447i −0.404260 0.233399i
\(726\) 29.2257 19.5497i 1.08467 0.725557i
\(727\) 6.95450i 0.257928i 0.991649 + 0.128964i \(0.0411652\pi\)
−0.991649 + 0.128964i \(0.958835\pi\)
\(728\) −5.60563 + 7.74068i −0.207758 + 0.286889i
\(729\) 2.86888 8.82951i 0.106255 0.327019i
\(730\) −15.7163 + 5.71539i −0.581685 + 0.211536i
\(731\) 9.36458 0.984257i 0.346361 0.0364040i
\(732\) −2.84903 + 2.38796i −0.105303 + 0.0882617i
\(733\) −15.5174 47.7575i −0.573147 1.76396i −0.642406 0.766365i \(-0.722064\pi\)
0.0692591 0.997599i \(-0.477936\pi\)
\(734\) −27.8121 + 26.8432i −1.02656 + 0.990800i
\(735\) 1.83944 17.5011i 0.0678488 0.645538i
\(736\) 26.7112 + 9.76342i 0.984586 + 0.359885i
\(737\) −11.9828 + 38.9447i −0.441392 + 1.43455i
\(738\) 23.4863 0.813733i 0.864542 0.0299539i
\(739\) 14.7302 + 33.0846i 0.541860 + 1.21704i 0.952304 + 0.305151i \(0.0987070\pi\)
−0.410444 + 0.911886i \(0.634626\pi\)
\(740\) −4.81435 4.65425i −0.176979 0.171094i
\(741\) 44.7402 + 14.4199i 1.64357 + 0.529728i
\(742\) 4.97058 12.2930i 0.182476 0.451288i
\(743\) −19.2016 + 2.01817i −0.704439 + 0.0740395i −0.449973 0.893042i \(-0.648566\pi\)
−0.254466 + 0.967082i \(0.581900\pi\)
\(744\) 5.76869 54.4559i 0.211490 1.99645i
\(745\) 1.87272 + 8.81045i 0.0686111 + 0.322790i
\(746\) −27.3450 1.91966i −1.00117 0.0702837i
\(747\) −23.1755 + 13.3804i −0.847947 + 0.489563i
\(748\) −31.4346 + 6.03412i −1.14936 + 0.220629i
\(749\) 7.09658i 0.259304i
\(750\) −30.6328 + 14.9302i −1.11855 + 0.545175i
\(751\) 19.7115 17.7483i 0.719283 0.647645i −0.225914 0.974147i \(-0.572537\pi\)
0.945196 + 0.326502i \(0.105870\pi\)
\(752\) 18.2091 + 37.4380i 0.664017 + 1.36522i
\(753\) 28.0051 20.3469i 1.02056 0.741483i
\(754\) 8.86005 16.7479i 0.322664 0.609923i
\(755\) 2.06642 + 6.35979i 0.0752048 + 0.231457i
\(756\) 3.62980 1.03868i 0.132015 0.0377765i
\(757\) 37.7200 16.7940i 1.37096 0.610390i 0.416609 0.909086i \(-0.363218\pi\)
0.954348 + 0.298696i \(0.0965517\pi\)
\(758\) 18.3486 34.4859i 0.666449 1.25258i
\(759\) 34.1855 15.8666i 1.24086 0.575920i
\(760\) −12.1820 16.7960i −0.441886 0.609254i
\(761\) −1.13295 + 10.7793i −0.0410694 + 0.390749i 0.954608 + 0.297866i \(0.0962749\pi\)
−0.995677 + 0.0928829i \(0.970392\pi\)
\(762\) 6.40601 + 25.7231i 0.232065 + 0.931848i
\(763\) −10.8237 9.74575i −0.391846 0.352820i
\(764\) −1.23259 + 3.38076i −0.0445935 + 0.122312i
\(765\) 1.35279 + 12.8709i 0.0489102 + 0.465349i
\(766\) −27.8723 + 33.1984i −1.00707 + 1.19951i
\(767\) −6.17498 + 13.9581i −0.222965 + 0.503998i
\(768\) 23.1853 + 27.7542i 0.836629 + 1.00149i
\(769\) −15.5613 + 26.9529i −0.561154 + 0.971947i 0.436243 + 0.899829i \(0.356309\pi\)
−0.997396 + 0.0721174i \(0.977024\pi\)
\(770\) 2.54827 4.97587i 0.0918332 0.179318i
\(771\) −9.40153 + 5.42798i −0.338588 + 0.195484i
\(772\) 7.38061 3.91917i 0.265634 0.141054i
\(773\) 9.42507 + 44.3415i 0.338996 + 1.59485i 0.735965 + 0.677020i \(0.236729\pi\)
−0.396968 + 0.917832i \(0.629938\pi\)
\(774\) −5.73085 1.01212i −0.205991 0.0363799i
\(775\) −23.4403 + 17.0304i −0.841999 + 0.611748i
\(776\) 10.3455 31.7515i 0.371380 1.13981i
\(777\) −1.15942 + 5.45465i −0.0415940 + 0.195684i
\(778\) 3.36114 11.7096i 0.120503 0.419810i
\(779\) 26.7157 36.7710i 0.957188 1.31746i
\(780\) −9.76503 18.2849i −0.349644 0.654704i
\(781\) 35.5239 + 6.97111i 1.27115 + 0.249446i
\(782\) −34.2880 + 1.18798i −1.22614 + 0.0424821i
\(783\) −6.83774 + 3.04436i −0.244361 + 0.108797i
\(784\) 18.7408 + 15.7604i 0.669315 + 0.562870i
\(785\) −28.3359 + 9.20689i −1.01135 + 0.328608i
\(786\) 30.7331 4.31068i 1.09621 0.153757i
\(787\) 11.0005 24.7076i 0.392127 0.880731i −0.604339 0.796728i \(-0.706563\pi\)
0.996465 0.0840037i \(-0.0267707\pi\)
\(788\) 26.3944 + 3.72421i 0.940262 + 0.132669i
\(789\) −8.21877 38.6663i −0.292596 1.37656i
\(790\) 3.33869 4.94689i 0.118785 0.176003i
\(791\) −2.38624 1.37769i −0.0848448 0.0489852i
\(792\) 19.7026 + 1.77556i 0.700102 + 0.0630917i
\(793\) −0.302941 + 2.94948i −0.0107577 + 0.104739i
\(794\) −52.1128 3.65840i −1.84942 0.129832i
\(795\) 19.2440 + 21.3726i 0.682514 + 0.758009i
\(796\) −6.15986 4.81804i −0.218331 0.170771i
\(797\) −30.5903 13.6197i −1.08356 0.482434i −0.214293 0.976769i \(-0.568745\pi\)
−0.869271 + 0.494336i \(0.835411\pi\)
\(798\) −6.47720 + 16.0190i −0.229291 + 0.567068i
\(799\) −37.3227 33.6055i −1.32038 1.18888i
\(800\) 2.68890 18.9446i 0.0950670 0.669794i
\(801\) 1.99876 2.75105i 0.0706225 0.0972036i
\(802\) 1.75775 + 0.935229i 0.0620684 + 0.0330241i
\(803\) −15.8354 26.4616i −0.558818 0.933809i
\(804\) −46.0595 + 31.0309i −1.62439 + 1.09437i
\(805\) 3.52209 4.84775i 0.124137 0.170861i
\(806\) −26.9621 34.3612i −0.949699 1.21032i
\(807\) 23.0112 7.47681i 0.810034 0.263196i
\(808\) 7.11071 1.50533i 0.250154 0.0529575i
\(809\) 19.0336 2.00051i 0.669186 0.0703343i 0.236158 0.971715i \(-0.424112\pi\)
0.433028 + 0.901380i \(0.357445\pi\)
\(810\) −3.40312 + 19.2693i −0.119574 + 0.677053i
\(811\) 27.1263 + 8.81388i 0.952534 + 0.309497i 0.743745 0.668464i \(-0.233048\pi\)
0.208789 + 0.977961i \(0.433048\pi\)
\(812\) 5.90439 + 3.69396i 0.207203 + 0.129633i
\(813\) −8.07330 13.9834i −0.283143 0.490418i
\(814\) 6.74654 10.3420i 0.236466 0.362487i
\(815\) 25.6379 14.8021i 0.898058 0.518494i
\(816\) −38.4983 20.5239i −1.34771 0.718481i
\(817\) −8.36440 + 7.53134i −0.292633 + 0.263488i
\(818\) 25.2557 30.0818i 0.883044 1.05179i
\(819\) −3.54822 + 6.17946i −0.123985 + 0.215928i
\(820\) −19.7406 + 3.46968i −0.689373 + 0.121167i
\(821\) −50.5182 10.7380i −1.76310 0.374758i −0.791457 0.611224i \(-0.790677\pi\)
−0.971640 + 0.236466i \(0.924011\pi\)
\(822\) −14.3096 + 49.8522i −0.499105 + 1.73879i
\(823\) 30.0121 + 3.15440i 1.04616 + 0.109955i 0.611980 0.790873i \(-0.290373\pi\)
0.434175 + 0.900828i \(0.357040\pi\)
\(824\) 1.40598 + 13.4834i 0.0489798 + 0.469716i
\(825\) −15.2240 20.2783i −0.530032 0.706000i
\(826\) −4.95304 2.63531i −0.172338 0.0916943i
\(827\) 1.55259 2.13695i 0.0539887 0.0743091i −0.781169 0.624320i \(-0.785376\pi\)
0.835158 + 0.550011i \(0.185376\pi\)
\(828\) 20.5713 + 5.14095i 0.714903 + 0.178660i
\(829\) 15.6322 + 3.32272i 0.542928 + 0.115403i 0.471209 0.882022i \(-0.343818\pi\)
0.0717198 + 0.997425i \(0.477151\pi\)
\(830\) 17.9894 14.0469i 0.624421 0.487576i
\(831\) 13.1797 9.57560i 0.457198 0.332174i
\(832\) 28.6886 + 2.99414i 0.994598 + 0.103803i
\(833\) −28.0943 9.12841i −0.973411 0.316280i
\(834\) −31.7190 + 46.9976i −1.09834 + 1.62739i
\(835\) −8.86125 + 15.3481i −0.306656 + 0.531144i
\(836\) 26.1590 27.9211i 0.904728 0.965671i
\(837\) 17.2540i 0.596384i
\(838\) 15.0167 + 30.8101i 0.518743 + 1.06432i
\(839\) −25.6387 + 5.44967i −0.885145 + 0.188143i −0.627985 0.778226i \(-0.716120\pi\)
−0.257160 + 0.966369i \(0.582787\pi\)
\(840\) 6.96350 3.09351i 0.240264 0.106736i
\(841\) 13.8791 + 6.17938i 0.478590 + 0.213082i
\(842\) 20.5726 + 26.3466i 0.708978 + 0.907962i
\(843\) −5.10526 + 24.0183i −0.175834 + 0.827236i
\(844\) 11.7359 + 11.3456i 0.403965 + 0.390532i
\(845\) −15.7482 5.03453i −0.541754 0.173193i
\(846\) 16.4412 + 26.3275i 0.565262 + 0.905158i
\(847\) 9.89925 + 2.87693i 0.340142 + 0.0988524i
\(848\) −39.6356 + 5.52625i −1.36109 + 0.189772i
\(849\) 28.4613 + 2.99140i 0.976788 + 0.102665i
\(850\) 5.57822 + 22.3991i 0.191331 + 0.768282i
\(851\) 8.85614 9.83574i 0.303585 0.337165i
\(852\) 31.6960 + 37.8158i 1.08589 + 1.29555i
\(853\) −21.5927 + 15.6880i −0.739319 + 0.537147i −0.892498 0.451052i \(-0.851049\pi\)
0.153179 + 0.988198i \(0.451049\pi\)
\(854\) −1.07329 0.189552i −0.0367271 0.00648632i
\(855\) −10.3513 11.4963i −0.354006 0.393164i
\(856\) −18.5573 + 10.6938i −0.634274 + 0.365505i
\(857\) 54.0029i 1.84470i 0.386350 + 0.922352i \(0.373736\pi\)
−0.386350 + 0.922352i \(0.626264\pi\)
\(858\) 29.6987 24.0647i 1.01390 0.821554i
\(859\) 20.1260i 0.686689i −0.939210 0.343344i \(-0.888440\pi\)
0.939210 0.343344i \(-0.111560\pi\)
\(860\) 4.96031 + 0.175933i 0.169145 + 0.00599925i
\(861\) 11.1689 + 12.4043i 0.380633 + 0.422736i
\(862\) −2.39798 + 13.5779i −0.0816757 + 0.462467i
\(863\) −7.77071 + 5.64575i −0.264518 + 0.192184i −0.712137 0.702041i \(-0.752272\pi\)
0.447618 + 0.894225i \(0.352272\pi\)
\(864\) −8.18581 7.92659i −0.278487 0.269668i
\(865\) −4.82990 + 5.36415i −0.164221 + 0.182386i
\(866\) 44.4795 11.0771i 1.51148 0.376415i
\(867\) 14.1282 + 1.48493i 0.479819 + 0.0504310i
\(868\) 13.3151 8.97054i 0.451943 0.304480i
\(869\) 10.1227 + 4.31823i 0.343390 + 0.146486i
\(870\) −12.8128 + 8.00145i −0.434394 + 0.271274i
\(871\) −9.10702 + 43.3499i −0.308580 + 1.46885i
\(872\) −9.17452 + 42.9894i −0.310688 + 1.45580i
\(873\) 5.17662 24.3541i 0.175202 0.824261i
\(874\) 32.3232 25.2395i 1.09335 0.853737i
\(875\) −9.12724 4.06371i −0.308557 0.137378i
\(876\) 5.87245 41.6196i 0.198412 1.40620i
\(877\) 19.5986 4.16581i 0.661798 0.140670i 0.135246 0.990812i \(-0.456818\pi\)
0.526553 + 0.850143i \(0.323484\pi\)
\(878\) 20.2342 9.86205i 0.682872 0.332828i
\(879\) 37.8051i 1.27514i
\(880\) −16.8516 + 0.834466i −0.568068 + 0.0281298i
\(881\) 1.33494 2.31218i 0.0449752 0.0778993i −0.842661 0.538444i \(-0.819012\pi\)
0.887637 + 0.460544i \(0.152346\pi\)
\(882\) 15.1329 + 10.2133i 0.509551 + 0.343899i
\(883\) −26.3799 8.57134i −0.887753 0.288448i −0.170580 0.985344i \(-0.554564\pi\)
−0.717173 + 0.696895i \(0.754564\pi\)
\(884\) −33.4314 + 9.65227i −1.12442 + 0.324641i
\(885\) 9.84473 7.15261i 0.330927 0.240432i
\(886\) −13.4677 17.2476i −0.452457 0.579445i
\(887\) −31.5830 6.71317i −1.06045 0.225406i −0.355511 0.934672i \(-0.615693\pi\)
−0.704941 + 0.709266i \(0.749027\pi\)
\(888\) 16.0108 5.18771i 0.537286 0.174088i
\(889\) −4.56824 + 6.28764i −0.153214 + 0.210881i
\(890\) −1.36228 + 2.56039i −0.0456637 + 0.0858244i
\(891\) −36.0783 + 0.565200i −1.20867 + 0.0189349i
\(892\) 7.22268 14.7882i 0.241833 0.495144i
\(893\) 59.7038 + 6.27512i 1.99791 + 0.209989i
\(894\) −21.7600 6.24602i −0.727764 0.208898i
\(895\) −15.8167 3.36194i −0.528693 0.112377i
\(896\) −1.86113 + 10.4382i −0.0621761 + 0.348716i
\(897\) 35.4336 20.5697i 1.18309 0.686801i
\(898\) −4.41739 3.70869i −0.147410 0.123761i
\(899\) −23.6533 + 21.2975i −0.788883 + 0.710313i
\(900\) 0.505680 14.2573i 0.0168560 0.475245i
\(901\) 41.8096 24.1388i 1.39288 0.804180i
\(902\) −13.1741 34.5324i −0.438650 1.14980i
\(903\) −2.06672 3.57966i −0.0687761 0.119124i
\(904\) −0.00681839 + 8.31593i −0.000226776 + 0.276584i
\(905\) 18.5254 + 6.01927i 0.615805 + 0.200087i
\(906\) −16.5510 2.92306i −0.549871 0.0971121i
\(907\) 21.5707 2.26717i 0.716244 0.0752802i 0.260606 0.965445i \(-0.416078\pi\)
0.455638 + 0.890165i \(0.349411\pi\)
\(908\) 5.42280 14.8737i 0.179962 0.493601i
\(909\) 5.15387 1.67459i 0.170943 0.0555428i
\(910\) 2.26483 5.63966i 0.0750785 0.186953i
\(911\) 2.08514 2.86995i 0.0690838 0.0950856i −0.773077 0.634312i \(-0.781283\pi\)
0.842161 + 0.539227i \(0.181283\pi\)
\(912\) 51.6495 7.20129i 1.71029 0.238459i
\(913\) 31.7146 + 27.6688i 1.04960 + 0.915704i
\(914\) 3.03818 5.71022i 0.100494 0.188877i
\(915\) 1.38947 1.91244i 0.0459345 0.0632234i
\(916\) −7.83314 1.95757i −0.258814 0.0646799i
\(917\) 6.76163 + 6.08819i 0.223289 + 0.201050i
\(918\) 12.7438 + 5.15287i 0.420608 + 0.170070i
\(919\) 20.0884 + 8.94392i 0.662654 + 0.295033i 0.710370 0.703828i \(-0.248528\pi\)
−0.0477161 + 0.998861i \(0.515194\pi\)
\(920\) −17.9840 1.90511i −0.592916 0.0628096i
\(921\) 23.7870 + 26.4181i 0.783807 + 0.870506i
\(922\) −3.61101 + 51.4378i −0.118922 + 1.69401i
\(923\) 39.1492 + 4.02100i 1.28861 + 0.132353i
\(924\) 8.03235 + 11.5286i 0.264245 + 0.379263i
\(925\) −7.71185 4.45244i −0.253564 0.146395i
\(926\) −30.8274 20.8056i −1.01305 0.683714i
\(927\) 2.10146 + 9.88658i 0.0690209 + 0.324718i
\(928\) 0.762291 21.0061i 0.0250234 0.689559i
\(929\) 18.6877 41.9732i 0.613123 1.37710i −0.293828 0.955858i \(-0.594929\pi\)
0.906950 0.421238i \(-0.138404\pi\)
\(930\) 4.83688 + 34.4845i 0.158607 + 1.13079i
\(931\) 33.5820 10.9114i 1.10061 0.357608i
\(932\) −47.1760 11.7897i −1.54530 0.386184i
\(933\) −38.9166 + 17.3268i −1.27407 + 0.567253i
\(934\) 1.89898 + 54.8090i 0.0621364 + 1.79341i
\(935\) 18.4625 8.56902i 0.603787 0.280237i
\(936\) 21.5058 0.0333138i 0.702939 0.00108889i
\(937\) −20.6976 + 28.4878i −0.676161 + 0.930656i −0.999880 0.0154975i \(-0.995067\pi\)
0.323719 + 0.946153i \(0.395067\pi\)
\(938\) −15.6507 4.49239i −0.511013 0.146682i
\(939\) −10.1211 + 47.6158i −0.330288 + 1.55388i
\(940\) −17.0056 20.2890i −0.554662 0.661755i
\(941\) 7.06742 5.13478i 0.230391 0.167389i −0.466600 0.884468i \(-0.654521\pi\)
0.696992 + 0.717079i \(0.254521\pi\)
\(942\) 13.0236 73.7427i 0.424332 2.40267i
\(943\) −8.23660 38.7502i −0.268221 1.26188i
\(944\) 0.572445 + 16.9231i 0.0186315 + 0.550800i
\(945\) −2.07917 + 1.20041i −0.0676355 + 0.0390494i
\(946\) 1.41314 + 9.04288i 0.0459453 + 0.294009i
\(947\) −17.6977 + 30.6533i −0.575098 + 0.996099i 0.420933 + 0.907092i \(0.361703\pi\)
−0.996031 + 0.0890071i \(0.971631\pi\)
\(948\) 7.03491 + 13.2482i 0.228483 + 0.430282i
\(949\) −19.7693 27.0750i −0.641738 0.878891i
\(950\) −21.1319 17.7416i −0.685609 0.575614i
\(951\) 4.27909 + 40.7128i 0.138759 + 1.32020i
\(952\) −2.64912 12.5136i −0.0858583 0.405567i
\(953\) 30.2429 + 27.2308i 0.979664 + 0.882093i 0.993035 0.117818i \(-0.0375898\pi\)
−0.0133717 + 0.999911i \(0.504256\pi\)
\(954\) −28.9531 + 7.21041i −0.937390 + 0.233446i
\(955\) 0.239187 2.27571i 0.00773990 0.0736402i
\(956\) −1.97568 28.4772i −0.0638980 0.921019i
\(957\) −18.9610 20.4063i −0.612923 0.659641i
\(958\) −6.39924 3.40478i −0.206750 0.110003i
\(959\) −13.8915 + 6.18488i −0.448579 + 0.199720i
\(960\) −18.5826 13.5477i −0.599751 0.437249i
\(961\) 13.0934 + 40.2973i 0.422368 + 1.29991i
\(962\) 6.27719 11.8656i 0.202385 0.382562i
\(963\) −12.9190 + 9.38622i −0.416310 + 0.302467i
\(964\) 9.90821 12.6677i 0.319122 0.407998i
\(965\) −3.94904 + 3.55573i −0.127124 + 0.114463i
\(966\) 6.59840 + 13.5381i 0.212300 + 0.435582i
\(967\) 5.95650i 0.191548i 0.995403 + 0.0957740i \(0.0305326\pi\)
−0.995403 + 0.0957740i \(0.969467\pi\)
\(968\) −7.39403 30.2213i −0.237653 0.971350i
\(969\) −54.4824 + 31.4555i −1.75023 + 1.01049i
\(970\) −1.48710 + 21.1833i −0.0477478 + 0.680154i
\(971\) −0.0384695 0.180985i −0.00123454 0.00580808i 0.977526 0.210815i \(-0.0676117\pi\)
−0.978761 + 0.205007i \(0.934278\pi\)
\(972\) −29.2185 22.8537i −0.937183 0.733033i
\(973\) −16.5325 + 1.73763i −0.530006 + 0.0557059i
\(974\) 7.50294 + 3.03377i 0.240410 + 0.0972083i
\(975\) −18.4938 20.4418i −0.592274 0.654662i
\(976\) 1.12165 + 3.09223i 0.0359032 + 0.0989798i
\(977\) −20.8150 46.7514i −0.665932 1.49571i −0.857637 0.514256i \(-0.828068\pi\)
0.191705 0.981453i \(-0.438598\pi\)
\(978\) 2.57642 + 74.3618i 0.0823849 + 2.37783i
\(979\) −5.11159 1.57277i −0.163367 0.0502660i
\(980\) −13.9915 6.83359i −0.446943 0.218291i
\(981\) −3.42579 + 32.5943i −0.109377 + 1.04065i
\(982\) −14.8698 15.4065i −0.474513 0.491642i
\(983\) −10.9497 33.6998i −0.349242 1.07486i −0.959274 0.282479i \(-0.908843\pi\)
0.610032 0.792377i \(-0.291157\pi\)
\(984\) 15.6064 47.8979i 0.497514 1.52693i
\(985\) −16.8575 + 1.77180i −0.537126 + 0.0564542i
\(986\) 8.66634 + 23.8308i 0.275992 + 0.758928i
\(987\) −6.81271 + 20.9674i −0.216851 + 0.667399i
\(988\) 25.5479 32.8230i 0.812787 1.04424i
\(989\) 9.81031i 0.311950i
\(990\) −12.4288 + 1.94226i −0.395013 + 0.0617292i
\(991\) 3.70177 + 2.13722i 0.117591 + 0.0678909i 0.557642 0.830082i \(-0.311706\pi\)
−0.440051 + 0.897973i \(0.645040\pi\)
\(992\) −43.5219 21.3007i −1.38182 0.676298i
\(993\) −11.2099 3.64231i −0.355734 0.115585i
\(994\) −2.51596 + 14.2460i −0.0798015 + 0.451854i
\(995\) 4.54299 + 2.02267i 0.144023 + 0.0641230i
\(996\) 9.93051 + 56.4993i 0.314660 + 1.79025i
\(997\) −8.37341 7.53945i −0.265189 0.238777i 0.525799 0.850609i \(-0.323766\pi\)
−0.790988 + 0.611832i \(0.790433\pi\)
\(998\) 10.9451 38.1308i 0.346461 1.20701i
\(999\) −4.84442 + 2.15688i −0.153271 + 0.0682405i
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 572.2.bn.a.95.17 640
4.3 odd 2 inner 572.2.bn.a.95.38 yes 640
11.8 odd 10 inner 572.2.bn.a.459.63 yes 640
13.10 even 6 inner 572.2.bn.a.491.11 yes 640
44.19 even 10 inner 572.2.bn.a.459.11 yes 640
52.23 odd 6 inner 572.2.bn.a.491.63 yes 640
143.140 odd 30 inner 572.2.bn.a.283.38 yes 640
572.283 even 30 inner 572.2.bn.a.283.17 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
572.2.bn.a.95.17 640 1.1 even 1 trivial
572.2.bn.a.95.38 yes 640 4.3 odd 2 inner
572.2.bn.a.283.17 yes 640 572.283 even 30 inner
572.2.bn.a.283.38 yes 640 143.140 odd 30 inner
572.2.bn.a.459.11 yes 640 44.19 even 10 inner
572.2.bn.a.459.63 yes 640 11.8 odd 10 inner
572.2.bn.a.491.11 yes 640 13.10 even 6 inner
572.2.bn.a.491.63 yes 640 52.23 odd 6 inner