Properties

Label 966.2.l.d.47.11
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.11
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.45188 + 0.944479i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.52157 + 2.63544i) q^{5} +(-0.785127 - 1.54388i) q^{6} +(-0.624219 + 2.57106i) q^{7} -1.00000i q^{8} +(1.21592 + 2.74254i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.45188 + 0.944479i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.52157 + 2.63544i) q^{5} +(-0.785127 - 1.54388i) q^{6} +(-0.624219 + 2.57106i) q^{7} -1.00000i q^{8} +(1.21592 + 2.74254i) q^{9} +(2.63544 - 1.52157i) q^{10} +(-3.05420 + 1.76334i) q^{11} +(-0.0920021 + 1.72961i) q^{12} -5.68597i q^{13} +(1.82612 - 1.91449i) q^{14} +(-4.69825 + 2.38925i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.33683 + 4.04750i) q^{17} +(0.318255 - 2.98307i) q^{18} +(0.846810 + 0.488906i) q^{19} -3.04314 q^{20} +(-3.33460 + 3.14331i) q^{21} +3.52669 q^{22} +(-0.866025 - 0.500000i) q^{23} +(0.944479 - 1.45188i) q^{24} +(-2.13035 - 3.68988i) q^{25} +(-2.84299 + 4.92420i) q^{26} +(-0.824904 + 5.13026i) q^{27} +(-2.53871 + 0.744941i) q^{28} -4.24454i q^{29} +(5.26343 + 0.279975i) q^{30} +(-1.00386 + 0.579580i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-6.09977 - 0.324463i) q^{33} -4.67365i q^{34} +(-5.82607 - 5.55714i) q^{35} +(-1.76715 + 2.42429i) q^{36} +(1.58532 - 2.74586i) q^{37} +(-0.488906 - 0.846810i) q^{38} +(5.37028 - 8.25536i) q^{39} +(2.63544 + 1.52157i) q^{40} -7.78720 q^{41} +(4.45951 - 1.05489i) q^{42} -2.49959 q^{43} +(-3.05420 - 1.76334i) q^{44} +(-9.07790 - 0.968494i) q^{45} +(0.500000 + 0.866025i) q^{46} +(-5.27913 + 9.14372i) q^{47} +(-1.54388 + 0.785127i) q^{48} +(-6.22070 - 3.20981i) q^{49} +4.26070i q^{50} +(-0.429986 + 8.08357i) q^{51} +(4.92420 - 2.84299i) q^{52} +(3.96204 - 2.28749i) q^{53} +(3.27952 - 4.03048i) q^{54} -10.7322i q^{55} +(2.57106 + 0.624219i) q^{56} +(0.767706 + 1.50963i) q^{57} +(-2.12227 + 3.67588i) q^{58} +(1.94490 + 3.36867i) q^{59} +(-4.41828 - 2.87418i) q^{60} +(-1.90050 - 1.09725i) q^{61} +1.15916 q^{62} +(-7.81024 + 1.41425i) q^{63} -1.00000 q^{64} +(14.9850 + 8.65161i) q^{65} +(5.12033 + 3.33088i) q^{66} +(-0.227183 - 0.393493i) q^{67} +(-2.33683 + 4.04750i) q^{68} +(-0.785127 - 1.54388i) q^{69} +(2.26696 + 7.72566i) q^{70} -6.16353i q^{71} +(2.74254 - 1.21592i) q^{72} +(1.97992 - 1.14311i) q^{73} +(-2.74586 + 1.58532i) q^{74} +(0.391994 - 7.36933i) q^{75} +0.977812i q^{76} +(-2.62717 - 8.95324i) q^{77} +(-8.77848 + 4.46421i) q^{78} +(-0.618207 + 1.07077i) q^{79} +(-1.52157 - 2.63544i) q^{80} +(-6.04308 + 6.66942i) q^{81} +(6.74392 + 3.89360i) q^{82} -1.86911 q^{83} +(-4.38949 - 1.31620i) q^{84} -14.2226 q^{85} +(2.16471 + 1.24980i) q^{86} +(4.00888 - 6.16257i) q^{87} +(1.76334 + 3.05420i) q^{88} +(8.03294 - 13.9135i) q^{89} +(7.37745 + 5.37769i) q^{90} +(14.6190 + 3.54929i) q^{91} -1.00000i q^{92} +(-2.00489 - 0.106645i) q^{93} +(9.14372 - 5.27913i) q^{94} +(-2.57696 + 1.48781i) q^{95} +(1.72961 + 0.0920021i) q^{96} +16.5414i q^{97} +(3.78238 + 5.89013i) q^{98} +(-8.54970 - 6.23219i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.45188 + 0.944479i 0.838244 + 0.545295i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.52157 + 2.63544i −0.680467 + 1.17860i 0.294372 + 0.955691i \(0.404890\pi\)
−0.974839 + 0.222912i \(0.928444\pi\)
\(6\) −0.785127 1.54388i −0.320527 0.630288i
\(7\) −0.624219 + 2.57106i −0.235933 + 0.971769i
\(8\) 1.00000i 0.353553i
\(9\) 1.21592 + 2.74254i 0.405306 + 0.914181i
\(10\) 2.63544 1.52157i 0.833398 0.481163i
\(11\) −3.05420 + 1.76334i −0.920876 + 0.531668i −0.883914 0.467649i \(-0.845101\pi\)
−0.0369614 + 0.999317i \(0.511768\pi\)
\(12\) −0.0920021 + 1.72961i −0.0265587 + 0.499294i
\(13\) 5.68597i 1.57701i −0.615031 0.788503i \(-0.710857\pi\)
0.615031 0.788503i \(-0.289143\pi\)
\(14\) 1.82612 1.91449i 0.488051 0.511670i
\(15\) −4.69825 + 2.38925i −1.21308 + 0.616902i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.33683 + 4.04750i 0.566763 + 0.981663i 0.996883 + 0.0788912i \(0.0251380\pi\)
−0.430120 + 0.902772i \(0.641529\pi\)
\(18\) 0.318255 2.98307i 0.0750134 0.703117i
\(19\) 0.846810 + 0.488906i 0.194272 + 0.112163i 0.593981 0.804479i \(-0.297556\pi\)
−0.399709 + 0.916642i \(0.630889\pi\)
\(20\) −3.04314 −0.680467
\(21\) −3.33460 + 3.14331i −0.727670 + 0.685927i
\(22\) 3.52669 0.751892
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) 0.944479 1.45188i 0.192791 0.296364i
\(25\) −2.13035 3.68988i −0.426070 0.737975i
\(26\) −2.84299 + 4.92420i −0.557556 + 0.965715i
\(27\) −0.824904 + 5.13026i −0.158753 + 0.987318i
\(28\) −2.53871 + 0.744941i −0.479772 + 0.140781i
\(29\) 4.24454i 0.788191i −0.919070 0.394095i \(-0.871058\pi\)
0.919070 0.394095i \(-0.128942\pi\)
\(30\) 5.26343 + 0.279975i 0.960967 + 0.0511163i
\(31\) −1.00386 + 0.579580i −0.180299 + 0.104096i −0.587433 0.809273i \(-0.699862\pi\)
0.407134 + 0.913368i \(0.366528\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −6.09977 0.324463i −1.06183 0.0564817i
\(34\) 4.67365i 0.801525i
\(35\) −5.82607 5.55714i −0.984786 0.939328i
\(36\) −1.76715 + 2.42429i −0.294525 + 0.404048i
\(37\) 1.58532 2.74586i 0.260626 0.451417i −0.705783 0.708428i \(-0.749405\pi\)
0.966408 + 0.257012i \(0.0827379\pi\)
\(38\) −0.488906 0.846810i −0.0793110 0.137371i
\(39\) 5.37028 8.25536i 0.859933 1.32192i
\(40\) 2.63544 + 1.52157i 0.416699 + 0.240581i
\(41\) −7.78720 −1.21616 −0.608078 0.793877i \(-0.708059\pi\)
−0.608078 + 0.793877i \(0.708059\pi\)
\(42\) 4.45951 1.05489i 0.688117 0.162773i
\(43\) −2.49959 −0.381184 −0.190592 0.981669i \(-0.561041\pi\)
−0.190592 + 0.981669i \(0.561041\pi\)
\(44\) −3.05420 1.76334i −0.460438 0.265834i
\(45\) −9.07790 0.968494i −1.35325 0.144375i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −5.27913 + 9.14372i −0.770040 + 1.33375i 0.167500 + 0.985872i \(0.446431\pi\)
−0.937540 + 0.347877i \(0.886903\pi\)
\(48\) −1.54388 + 0.785127i −0.222840 + 0.113323i
\(49\) −6.22070 3.20981i −0.888672 0.458544i
\(50\) 4.26070i 0.602554i
\(51\) −0.429986 + 8.08357i −0.0602101 + 1.13193i
\(52\) 4.92420 2.84299i 0.682863 0.394251i
\(53\) 3.96204 2.28749i 0.544229 0.314210i −0.202562 0.979269i \(-0.564927\pi\)
0.746791 + 0.665059i \(0.231594\pi\)
\(54\) 3.27952 4.03048i 0.446286 0.548479i
\(55\) 10.7322i 1.44713i
\(56\) 2.57106 + 0.624219i 0.343572 + 0.0834148i
\(57\) 0.767706 + 1.50963i 0.101685 + 0.199955i
\(58\) −2.12227 + 3.67588i −0.278668 + 0.482666i
\(59\) 1.94490 + 3.36867i 0.253205 + 0.438564i 0.964406 0.264424i \(-0.0851820\pi\)
−0.711202 + 0.702988i \(0.751849\pi\)
\(60\) −4.41828 2.87418i −0.570397 0.371055i
\(61\) −1.90050 1.09725i −0.243334 0.140489i 0.373374 0.927681i \(-0.378201\pi\)
−0.616708 + 0.787192i \(0.711534\pi\)
\(62\) 1.15916 0.147214
\(63\) −7.81024 + 1.41425i −0.983998 + 0.178179i
\(64\) −1.00000 −0.125000
\(65\) 14.9850 + 8.65161i 1.85866 + 1.07310i
\(66\) 5.12033 + 3.33088i 0.630269 + 0.410003i
\(67\) −0.227183 0.393493i −0.0277549 0.0480728i 0.851814 0.523844i \(-0.175502\pi\)
−0.879569 + 0.475771i \(0.842169\pi\)
\(68\) −2.33683 + 4.04750i −0.283382 + 0.490832i
\(69\) −0.785127 1.54388i −0.0945181 0.185862i
\(70\) 2.26696 + 7.72566i 0.270953 + 0.923393i
\(71\) 6.16353i 0.731476i −0.930718 0.365738i \(-0.880817\pi\)
0.930718 0.365738i \(-0.119183\pi\)
\(72\) 2.74254 1.21592i 0.323212 0.143297i
\(73\) 1.97992 1.14311i 0.231733 0.133791i −0.379638 0.925135i \(-0.623952\pi\)
0.611371 + 0.791344i \(0.290618\pi\)
\(74\) −2.74586 + 1.58532i −0.319200 + 0.184290i
\(75\) 0.391994 7.36933i 0.0452635 0.850937i
\(76\) 0.977812i 0.112163i
\(77\) −2.62717 8.95324i −0.299394 1.02032i
\(78\) −8.77848 + 4.46421i −0.993967 + 0.505472i
\(79\) −0.618207 + 1.07077i −0.0695537 + 0.120471i −0.898705 0.438554i \(-0.855491\pi\)
0.829151 + 0.559024i \(0.188824\pi\)
\(80\) −1.52157 2.63544i −0.170117 0.294651i
\(81\) −6.04308 + 6.66942i −0.671454 + 0.741047i
\(82\) 6.74392 + 3.89360i 0.744741 + 0.429976i
\(83\) −1.86911 −0.205161 −0.102581 0.994725i \(-0.532710\pi\)
−0.102581 + 0.994725i \(0.532710\pi\)
\(84\) −4.38949 1.31620i −0.478933 0.143609i
\(85\) −14.2226 −1.54265
\(86\) 2.16471 + 1.24980i 0.233427 + 0.134769i
\(87\) 4.00888 6.16257i 0.429797 0.660696i
\(88\) 1.76334 + 3.05420i 0.187973 + 0.325579i
\(89\) 8.03294 13.9135i 0.851489 1.47482i −0.0283745 0.999597i \(-0.509033\pi\)
0.879864 0.475226i \(-0.157634\pi\)
\(90\) 7.37745 + 5.37769i 0.777651 + 0.566859i
\(91\) 14.6190 + 3.54929i 1.53249 + 0.372067i
\(92\) 1.00000i 0.104257i
\(93\) −2.00489 0.106645i −0.207898 0.0110586i
\(94\) 9.14372 5.27913i 0.943103 0.544501i
\(95\) −2.57696 + 1.48781i −0.264391 + 0.152646i
\(96\) 1.72961 + 0.0920021i 0.176527 + 0.00938993i
\(97\) 16.5414i 1.67952i 0.542957 + 0.839760i \(0.317305\pi\)
−0.542957 + 0.839760i \(0.682695\pi\)
\(98\) 3.78238 + 5.89013i 0.382078 + 0.594993i
\(99\) −8.54970 6.23219i −0.859277 0.626359i
\(100\) 2.13035 3.68988i 0.213035 0.368988i
\(101\) 4.86693 + 8.42978i 0.484278 + 0.838794i 0.999837 0.0180600i \(-0.00574900\pi\)
−0.515559 + 0.856854i \(0.672416\pi\)
\(102\) 4.41417 6.78559i 0.437067 0.671873i
\(103\) 10.4696 + 6.04463i 1.03160 + 0.595595i 0.917443 0.397867i \(-0.130250\pi\)
0.114158 + 0.993463i \(0.463583\pi\)
\(104\) −5.68597 −0.557556
\(105\) −3.21017 13.5709i −0.313280 1.32439i
\(106\) −4.57497 −0.444361
\(107\) −12.8003 7.39027i −1.23745 0.714445i −0.268881 0.963173i \(-0.586654\pi\)
−0.968573 + 0.248729i \(0.919987\pi\)
\(108\) −4.85538 + 1.85074i −0.467210 + 0.178088i
\(109\) 8.40077 + 14.5506i 0.804647 + 1.39369i 0.916529 + 0.399969i \(0.130979\pi\)
−0.111881 + 0.993722i \(0.535688\pi\)
\(110\) −5.36610 + 9.29436i −0.511637 + 0.886182i
\(111\) 4.89511 2.48936i 0.464623 0.236280i
\(112\) −1.91449 1.82612i −0.180903 0.172552i
\(113\) 17.2044i 1.61845i 0.587495 + 0.809227i \(0.300114\pi\)
−0.587495 + 0.809227i \(0.699886\pi\)
\(114\) 0.0899608 1.69123i 0.00842560 0.158398i
\(115\) 2.63544 1.52157i 0.245756 0.141887i
\(116\) 3.67588 2.12227i 0.341297 0.197048i
\(117\) 15.5940 6.91368i 1.44167 0.639170i
\(118\) 3.88981i 0.358086i
\(119\) −11.8651 + 3.48159i −1.08767 + 0.319157i
\(120\) 2.38925 + 4.69825i 0.218108 + 0.428890i
\(121\) 0.718755 1.24492i 0.0653413 0.113175i
\(122\) 1.09725 + 1.90050i 0.0993406 + 0.172063i
\(123\) −11.3061 7.35485i −1.01944 0.663164i
\(124\) −1.00386 0.579580i −0.0901495 0.0520479i
\(125\) −2.24979 −0.201227
\(126\) 7.47100 + 2.68034i 0.665569 + 0.238784i
\(127\) 9.55693 0.848040 0.424020 0.905653i \(-0.360619\pi\)
0.424020 + 0.905653i \(0.360619\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −3.62911 2.36081i −0.319526 0.207858i
\(130\) −8.65161 14.9850i −0.758796 1.31427i
\(131\) 4.93615 8.54967i 0.431274 0.746988i −0.565709 0.824605i \(-0.691398\pi\)
0.996983 + 0.0776164i \(0.0247310\pi\)
\(132\) −2.76889 5.44479i −0.241001 0.473908i
\(133\) −1.78560 + 1.87202i −0.154831 + 0.162324i
\(134\) 0.454367i 0.0392513i
\(135\) −12.2653 9.98003i −1.05563 0.858944i
\(136\) 4.04750 2.33683i 0.347070 0.200381i
\(137\) −16.4275 + 9.48443i −1.40350 + 0.810310i −0.994750 0.102338i \(-0.967368\pi\)
−0.408748 + 0.912647i \(0.634034\pi\)
\(138\) −0.0920021 + 1.72961i −0.00783174 + 0.147234i
\(139\) 16.5933i 1.40742i 0.710486 + 0.703711i \(0.248475\pi\)
−0.710486 + 0.703711i \(0.751525\pi\)
\(140\) 1.89959 7.82410i 0.160544 0.661257i
\(141\) −16.3007 + 8.28957i −1.37277 + 0.698108i
\(142\) −3.08176 + 5.33777i −0.258616 + 0.447936i
\(143\) 10.0263 + 17.3661i 0.838443 + 1.45223i
\(144\) −2.98307 0.318255i −0.248589 0.0265212i
\(145\) 11.1862 + 6.45836i 0.928964 + 0.536338i
\(146\) −2.28622 −0.189209
\(147\) −6.00012 10.5356i −0.494882 0.868960i
\(148\) 3.17065 0.260626
\(149\) 12.7824 + 7.37990i 1.04717 + 0.604585i 0.921856 0.387532i \(-0.126672\pi\)
0.125316 + 0.992117i \(0.460006\pi\)
\(150\) −4.02414 + 6.18603i −0.328570 + 0.505088i
\(151\) 4.00264 + 6.93278i 0.325730 + 0.564181i 0.981660 0.190641i \(-0.0610565\pi\)
−0.655930 + 0.754822i \(0.727723\pi\)
\(152\) 0.488906 0.846810i 0.0396555 0.0686854i
\(153\) −8.25905 + 11.3303i −0.667705 + 0.915999i
\(154\) −2.20142 + 9.06732i −0.177396 + 0.730665i
\(155\) 3.52749i 0.283335i
\(156\) 9.83449 + 0.523122i 0.787390 + 0.0418832i
\(157\) 3.25253 1.87785i 0.259580 0.149868i −0.364563 0.931179i \(-0.618782\pi\)
0.624143 + 0.781310i \(0.285448\pi\)
\(158\) 1.07077 0.618207i 0.0851855 0.0491819i
\(159\) 7.91290 + 0.420907i 0.627534 + 0.0333801i
\(160\) 3.04314i 0.240581i
\(161\) 1.82612 1.91449i 0.143918 0.150883i
\(162\) 8.56817 2.75435i 0.673179 0.216402i
\(163\) −9.10902 + 15.7773i −0.713473 + 1.23577i 0.250072 + 0.968227i \(0.419546\pi\)
−0.963545 + 0.267545i \(0.913788\pi\)
\(164\) −3.89360 6.74392i −0.304039 0.526611i
\(165\) 10.1363 15.5819i 0.789113 1.21305i
\(166\) 1.61869 + 0.934553i 0.125635 + 0.0725354i
\(167\) 0.0210684 0.00163032 0.000815161 1.00000i \(-0.499741\pi\)
0.000815161 1.00000i \(0.499741\pi\)
\(168\) 3.14331 + 3.33460i 0.242512 + 0.257270i
\(169\) −19.3303 −1.48695
\(170\) 12.3171 + 7.11129i 0.944679 + 0.545411i
\(171\) −0.311193 + 2.91688i −0.0237976 + 0.223060i
\(172\) −1.24980 2.16471i −0.0952961 0.165058i
\(173\) 12.4404 21.5474i 0.945827 1.63822i 0.191740 0.981446i \(-0.438587\pi\)
0.754087 0.656775i \(-0.228080\pi\)
\(174\) −6.55307 + 3.33250i −0.496787 + 0.252636i
\(175\) 10.8167 3.17397i 0.817666 0.239930i
\(176\) 3.52669i 0.265834i
\(177\) −0.357870 + 6.72783i −0.0268992 + 0.505695i
\(178\) −13.9135 + 8.03294i −1.04286 + 0.602094i
\(179\) −6.35355 + 3.66823i −0.474887 + 0.274176i −0.718283 0.695751i \(-0.755072\pi\)
0.243396 + 0.969927i \(0.421738\pi\)
\(180\) −3.70021 8.34594i −0.275797 0.622070i
\(181\) 21.2103i 1.57655i 0.615321 + 0.788276i \(0.289026\pi\)
−0.615321 + 0.788276i \(0.710974\pi\)
\(182\) −10.8858 10.3833i −0.806906 0.769659i
\(183\) −1.72296 3.38806i −0.127365 0.250453i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) 4.82436 + 8.35604i 0.354694 + 0.614348i
\(186\) 1.68296 + 1.09480i 0.123401 + 0.0802749i
\(187\) −14.2743 8.24125i −1.04384 0.602660i
\(188\) −10.5583 −0.770040
\(189\) −12.6753 5.32328i −0.921991 0.387212i
\(190\) 2.97562 0.215874
\(191\) −4.57819 2.64322i −0.331266 0.191257i 0.325137 0.945667i \(-0.394590\pi\)
−0.656403 + 0.754410i \(0.727923\pi\)
\(192\) −1.45188 0.944479i −0.104781 0.0681619i
\(193\) −1.16570 2.01905i −0.0839089 0.145334i 0.821017 0.570904i \(-0.193407\pi\)
−0.904926 + 0.425570i \(0.860074\pi\)
\(194\) 8.27068 14.3252i 0.593800 1.02849i
\(195\) 13.5852 + 26.7141i 0.972857 + 1.91304i
\(196\) −0.330574 6.99219i −0.0236124 0.499442i
\(197\) 25.8937i 1.84485i −0.386176 0.922425i \(-0.626204\pi\)
0.386176 0.922425i \(-0.373796\pi\)
\(198\) 4.28816 + 9.67209i 0.304747 + 0.687365i
\(199\) 23.8465 13.7678i 1.69043 0.975971i 0.736266 0.676692i \(-0.236587\pi\)
0.954165 0.299279i \(-0.0967463\pi\)
\(200\) −3.68988 + 2.13035i −0.260914 + 0.150639i
\(201\) 0.0418027 0.785875i 0.00294854 0.0554314i
\(202\) 9.73387i 0.684873i
\(203\) 10.9130 + 2.64952i 0.765940 + 0.185960i
\(204\) −7.21557 + 3.66941i −0.505191 + 0.256910i
\(205\) 11.8488 20.5227i 0.827554 1.43337i
\(206\) −6.04463 10.4696i −0.421150 0.729452i
\(207\) 0.318255 2.98307i 0.0221202 0.207338i
\(208\) 4.92420 + 2.84299i 0.341432 + 0.197126i
\(209\) −3.44844 −0.238533
\(210\) −4.00537 + 13.3578i −0.276397 + 0.921778i
\(211\) 17.5665 1.20932 0.604662 0.796482i \(-0.293308\pi\)
0.604662 + 0.796482i \(0.293308\pi\)
\(212\) 3.96204 + 2.28749i 0.272114 + 0.157105i
\(213\) 5.82132 8.94871i 0.398870 0.613155i
\(214\) 7.39027 + 12.8003i 0.505189 + 0.875013i
\(215\) 3.80331 6.58752i 0.259383 0.449265i
\(216\) 5.13026 + 0.824904i 0.349070 + 0.0561276i
\(217\) −0.863506 2.94278i −0.0586186 0.199769i
\(218\) 16.8015i 1.13794i
\(219\) 3.95426 + 0.210337i 0.267204 + 0.0142133i
\(220\) 9.29436 5.36610i 0.626625 0.361782i
\(221\) 23.0140 13.2871i 1.54809 0.893789i
\(222\) −5.48397 0.291706i −0.368060 0.0195780i
\(223\) 5.99709i 0.401595i −0.979633 0.200798i \(-0.935647\pi\)
0.979633 0.200798i \(-0.0643533\pi\)
\(224\) 0.744941 + 2.53871i 0.0497734 + 0.169625i
\(225\) 7.52931 10.3292i 0.501954 0.688611i
\(226\) 8.60221 14.8995i 0.572210 0.991097i
\(227\) 12.5340 + 21.7096i 0.831912 + 1.44091i 0.896520 + 0.443004i \(0.146087\pi\)
−0.0646074 + 0.997911i \(0.520580\pi\)
\(228\) −0.923523 + 1.41967i −0.0611618 + 0.0940198i
\(229\) −18.0080 10.3969i −1.19000 0.687047i −0.231694 0.972789i \(-0.574427\pi\)
−0.958307 + 0.285742i \(0.907760\pi\)
\(230\) −3.04314 −0.200659
\(231\) 4.64181 15.4804i 0.305409 1.01853i
\(232\) −4.24454 −0.278668
\(233\) 4.28541 + 2.47418i 0.280747 + 0.162089i 0.633761 0.773529i \(-0.281510\pi\)
−0.353015 + 0.935618i \(0.614843\pi\)
\(234\) −16.9617 1.80959i −1.10882 0.118296i
\(235\) −16.0651 27.8256i −1.04797 1.81514i
\(236\) −1.94490 + 3.36867i −0.126602 + 0.219282i
\(237\) −1.90888 + 0.970741i −0.123995 + 0.0630564i
\(238\) 12.0162 + 2.91738i 0.778897 + 0.189106i
\(239\) 15.3365i 0.992034i 0.868313 + 0.496017i \(0.165205\pi\)
−0.868313 + 0.496017i \(0.834795\pi\)
\(240\) 0.279975 5.26343i 0.0180723 0.339753i
\(241\) 6.78601 3.91790i 0.437125 0.252374i −0.265252 0.964179i \(-0.585455\pi\)
0.702377 + 0.711805i \(0.252122\pi\)
\(242\) −1.24492 + 0.718755i −0.0800265 + 0.0462033i
\(243\) −15.0730 + 3.97564i −0.966931 + 0.255038i
\(244\) 2.19450i 0.140489i
\(245\) 17.9245 11.5103i 1.14515 0.735367i
\(246\) 6.11394 + 12.0225i 0.389811 + 0.766529i
\(247\) 2.77991 4.81494i 0.176881 0.306367i
\(248\) 0.579580 + 1.00386i 0.0368034 + 0.0637454i
\(249\) −2.71372 1.76533i −0.171975 0.111873i
\(250\) 1.94837 + 1.12489i 0.123226 + 0.0711445i
\(251\) −0.640271 −0.0404136 −0.0202068 0.999796i \(-0.506432\pi\)
−0.0202068 + 0.999796i \(0.506432\pi\)
\(252\) −5.12990 6.05674i −0.323153 0.381539i
\(253\) 3.52669 0.221721
\(254\) −8.27654 4.77846i −0.519316 0.299827i
\(255\) −20.6495 13.4329i −1.29312 0.841202i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 7.68269 13.3068i 0.479233 0.830056i −0.520483 0.853872i \(-0.674248\pi\)
0.999716 + 0.0238158i \(0.00758151\pi\)
\(258\) 1.96250 + 3.85908i 0.122180 + 0.240256i
\(259\) 6.07018 + 5.78998i 0.377183 + 0.359772i
\(260\) 17.3032i 1.07310i
\(261\) 11.6408 5.16101i 0.720549 0.319459i
\(262\) −8.54967 + 4.93615i −0.528200 + 0.304957i
\(263\) −8.73105 + 5.04087i −0.538379 + 0.310834i −0.744422 0.667710i \(-0.767275\pi\)
0.206042 + 0.978543i \(0.433942\pi\)
\(264\) −0.324463 + 6.09977i −0.0199693 + 0.375415i
\(265\) 13.9223i 0.855239i
\(266\) 2.48238 0.728412i 0.152205 0.0446618i
\(267\) 24.8038 12.6137i 1.51797 0.771949i
\(268\) 0.227183 0.393493i 0.0138774 0.0240364i
\(269\) 2.04027 + 3.53385i 0.124398 + 0.215463i 0.921497 0.388385i \(-0.126967\pi\)
−0.797100 + 0.603848i \(0.793634\pi\)
\(270\) 5.63206 + 14.7756i 0.342756 + 0.899215i
\(271\) 13.1812 + 7.61019i 0.800703 + 0.462286i 0.843717 0.536788i \(-0.180363\pi\)
−0.0430140 + 0.999074i \(0.513696\pi\)
\(272\) −4.67365 −0.283382
\(273\) 17.8728 + 18.9605i 1.08171 + 1.14754i
\(274\) 18.9689 1.14595
\(275\) 13.0130 + 7.51308i 0.784715 + 0.453056i
\(276\) 0.944479 1.45188i 0.0568510 0.0873930i
\(277\) −2.80266 4.85435i −0.168396 0.291670i 0.769460 0.638695i \(-0.220525\pi\)
−0.937856 + 0.347025i \(0.887192\pi\)
\(278\) 8.29663 14.3702i 0.497599 0.861867i
\(279\) −2.81014 2.04841i −0.168239 0.122635i
\(280\) −5.55714 + 5.82607i −0.332103 + 0.348174i
\(281\) 0.569158i 0.0339531i 0.999856 + 0.0169766i \(0.00540407\pi\)
−0.999856 + 0.0169766i \(0.994596\pi\)
\(282\) 18.2616 + 0.971382i 1.08746 + 0.0578450i
\(283\) 19.6549 11.3477i 1.16836 0.674553i 0.215067 0.976599i \(-0.431003\pi\)
0.953293 + 0.302046i \(0.0976697\pi\)
\(284\) 5.33777 3.08176i 0.316738 0.182869i
\(285\) −5.14665 0.273763i −0.304861 0.0162163i
\(286\) 20.0526i 1.18574i
\(287\) 4.86092 20.0214i 0.286931 1.18182i
\(288\) 2.42429 + 1.76715i 0.142853 + 0.104130i
\(289\) −2.42151 + 4.19417i −0.142442 + 0.246716i
\(290\) −6.45836 11.1862i −0.379248 0.656877i
\(291\) −15.6230 + 24.0161i −0.915834 + 1.40785i
\(292\) 1.97992 + 1.14311i 0.115866 + 0.0668954i
\(293\) 7.07105 0.413095 0.206548 0.978437i \(-0.433777\pi\)
0.206548 + 0.978437i \(0.433777\pi\)
\(294\) −0.0715338 + 12.1241i −0.00417193 + 0.707094i
\(295\) −11.8372 −0.689190
\(296\) −2.74586 1.58532i −0.159600 0.0921450i
\(297\) −6.52698 17.1234i −0.378734 0.993601i
\(298\) −7.37990 12.7824i −0.427506 0.740462i
\(299\) −2.84299 + 4.92420i −0.164414 + 0.284774i
\(300\) 6.57803 3.34519i 0.379783 0.193135i
\(301\) 1.56029 6.42660i 0.0899338 0.370423i
\(302\) 8.00528i 0.460652i
\(303\) −0.895536 + 16.8358i −0.0514472 + 0.967189i
\(304\) −0.846810 + 0.488906i −0.0485679 + 0.0280407i
\(305\) 5.78348 3.33909i 0.331161 0.191196i
\(306\) 12.8177 5.68278i 0.732738 0.324863i
\(307\) 5.74460i 0.327862i 0.986472 + 0.163931i \(0.0524174\pi\)
−0.986472 + 0.163931i \(0.947583\pi\)
\(308\) 6.44015 6.75182i 0.366962 0.384721i
\(309\) 9.49160 + 18.6644i 0.539959 + 1.06178i
\(310\) −1.76374 + 3.05490i −0.100174 + 0.173506i
\(311\) 14.5349 + 25.1752i 0.824199 + 1.42755i 0.902530 + 0.430627i \(0.141707\pi\)
−0.0783316 + 0.996927i \(0.524959\pi\)
\(312\) −8.25536 5.37028i −0.467368 0.304032i
\(313\) −3.05084 1.76140i −0.172444 0.0995604i 0.411294 0.911503i \(-0.365077\pi\)
−0.583738 + 0.811942i \(0.698410\pi\)
\(314\) −3.75569 −0.211946
\(315\) 8.15666 22.7353i 0.459576 1.28099i
\(316\) −1.23641 −0.0695537
\(317\) −6.58767 3.80339i −0.370000 0.213620i 0.303458 0.952845i \(-0.401859\pi\)
−0.673459 + 0.739225i \(0.735192\pi\)
\(318\) −6.64232 4.32097i −0.372483 0.242308i
\(319\) 7.48457 + 12.9637i 0.419056 + 0.725826i
\(320\) 1.52157 2.63544i 0.0850584 0.147325i
\(321\) −11.6046 22.8194i −0.647706 1.27366i
\(322\) −2.53871 + 0.744941i −0.141477 + 0.0415139i
\(323\) 4.56995i 0.254279i
\(324\) −8.79743 1.89875i −0.488746 0.105486i
\(325\) −20.9805 + 12.1131i −1.16379 + 0.671915i
\(326\) 15.7773 9.10902i 0.873823 0.504502i
\(327\) −1.54578 + 29.0600i −0.0854816 + 1.60702i
\(328\) 7.78720i 0.429976i
\(329\) −20.2137 19.2807i −1.11442 1.06298i
\(330\) −16.5693 + 8.42613i −0.912108 + 0.463843i
\(331\) −17.2879 + 29.9436i −0.950230 + 1.64585i −0.205305 + 0.978698i \(0.565819\pi\)
−0.744925 + 0.667149i \(0.767515\pi\)
\(332\) −0.934553 1.61869i −0.0512903 0.0888373i
\(333\) 9.45826 + 1.00907i 0.518310 + 0.0552969i
\(334\) −0.0182458 0.0105342i −0.000998364 0.000576406i
\(335\) 1.38270 0.0755451
\(336\) −1.05489 4.45951i −0.0575488 0.243286i
\(337\) −20.3499 −1.10853 −0.554266 0.832340i \(-0.687001\pi\)
−0.554266 + 0.832340i \(0.687001\pi\)
\(338\) 16.7405 + 9.66515i 0.910565 + 0.525715i
\(339\) −16.2492 + 24.9788i −0.882536 + 1.35666i
\(340\) −7.11129 12.3171i −0.385664 0.667989i
\(341\) 2.04400 3.54031i 0.110689 0.191718i
\(342\) 1.72794 2.37050i 0.0934365 0.128182i
\(343\) 12.1357 13.9902i 0.655266 0.755398i
\(344\) 2.49959i 0.134769i
\(345\) 5.26343 + 0.279975i 0.283374 + 0.0150734i
\(346\) −21.5474 + 12.4404i −1.15840 + 0.668801i
\(347\) −6.65135 + 3.84016i −0.357063 + 0.206151i −0.667792 0.744348i \(-0.732760\pi\)
0.310728 + 0.950499i \(0.399427\pi\)
\(348\) 7.34138 + 0.390506i 0.393539 + 0.0209333i
\(349\) 15.7671i 0.843991i −0.906598 0.421996i \(-0.861330\pi\)
0.906598 0.421996i \(-0.138670\pi\)
\(350\) −10.9545 2.65961i −0.585544 0.142162i
\(351\) 29.1705 + 4.69038i 1.55701 + 0.250354i
\(352\) −1.76334 + 3.05420i −0.0939865 + 0.162789i
\(353\) −10.9738 19.0072i −0.584077 1.01165i −0.994990 0.0999762i \(-0.968123\pi\)
0.410913 0.911675i \(-0.365210\pi\)
\(354\) 3.67384 5.64754i 0.195262 0.300163i
\(355\) 16.2436 + 9.37824i 0.862120 + 0.497745i
\(356\) 16.0659 0.851489
\(357\) −20.5149 6.15144i −1.08577 0.325569i
\(358\) 7.33645 0.387744
\(359\) 5.62294 + 3.24641i 0.296767 + 0.171339i 0.640990 0.767549i \(-0.278524\pi\)
−0.344222 + 0.938888i \(0.611857\pi\)
\(360\) −0.968494 + 9.07790i −0.0510441 + 0.478448i
\(361\) −9.02194 15.6265i −0.474839 0.822445i
\(362\) 10.6052 18.3687i 0.557395 0.965437i
\(363\) 2.21935 1.12863i 0.116486 0.0592376i
\(364\) 4.23571 + 14.4351i 0.222012 + 0.756602i
\(365\) 6.95729i 0.364161i
\(366\) −0.201899 + 3.79563i −0.0105534 + 0.198401i
\(367\) −30.9762 + 17.8841i −1.61694 + 0.933543i −0.629239 + 0.777212i \(0.716633\pi\)
−0.987705 + 0.156331i \(0.950033\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) −9.46861 21.3567i −0.492916 1.11179i
\(370\) 9.64872i 0.501613i
\(371\) 3.40808 + 11.6145i 0.176939 + 0.602997i
\(372\) −0.910088 1.78961i −0.0471859 0.0927869i
\(373\) 17.4543 30.2317i 0.903749 1.56534i 0.0811610 0.996701i \(-0.474137\pi\)
0.822588 0.568638i \(-0.192529\pi\)
\(374\) 8.24125 + 14.2743i 0.426145 + 0.738104i
\(375\) −3.26642 2.12488i −0.168677 0.109728i
\(376\) 9.14372 + 5.27913i 0.471552 + 0.272250i
\(377\) −24.1343 −1.24298
\(378\) 8.31547 + 10.9477i 0.427702 + 0.563091i
\(379\) −18.3104 −0.940540 −0.470270 0.882523i \(-0.655843\pi\)
−0.470270 + 0.882523i \(0.655843\pi\)
\(380\) −2.57696 1.48781i −0.132195 0.0763230i
\(381\) 13.8755 + 9.02632i 0.710865 + 0.462432i
\(382\) 2.64322 + 4.57819i 0.135239 + 0.234240i
\(383\) 1.43642 2.48795i 0.0733976 0.127128i −0.826991 0.562216i \(-0.809949\pi\)
0.900388 + 0.435087i \(0.143282\pi\)
\(384\) 0.785127 + 1.54388i 0.0400658 + 0.0787860i
\(385\) 27.5931 + 6.69924i 1.40628 + 0.341425i
\(386\) 2.33140i 0.118665i
\(387\) −3.03930 6.85524i −0.154496 0.348471i
\(388\) −14.3252 + 8.27068i −0.727254 + 0.419880i
\(389\) −14.1331 + 8.15973i −0.716575 + 0.413715i −0.813491 0.581578i \(-0.802436\pi\)
0.0969155 + 0.995293i \(0.469102\pi\)
\(390\) 1.59193 29.9277i 0.0806106 1.51545i
\(391\) 4.67365i 0.236357i
\(392\) −3.20981 + 6.22070i −0.162120 + 0.314193i
\(393\) 15.2417 7.75101i 0.768842 0.390987i
\(394\) −12.9469 + 22.4246i −0.652253 + 1.12974i
\(395\) −1.88129 3.25849i −0.0946580 0.163952i
\(396\) 1.12238 10.5204i 0.0564019 0.528668i
\(397\) 21.3496 + 12.3262i 1.07150 + 0.618633i 0.928592 0.371103i \(-0.121020\pi\)
0.142912 + 0.989735i \(0.454354\pi\)
\(398\) −27.5355 −1.38023
\(399\) −4.36056 + 1.03148i −0.218301 + 0.0516386i
\(400\) 4.26070 0.213035
\(401\) 10.7698 + 6.21795i 0.537818 + 0.310509i 0.744194 0.667963i \(-0.232834\pi\)
−0.206376 + 0.978473i \(0.566167\pi\)
\(402\) −0.429140 + 0.659687i −0.0214035 + 0.0329022i
\(403\) 3.29548 + 5.70794i 0.164160 + 0.284333i
\(404\) −4.86693 + 8.42978i −0.242139 + 0.419397i
\(405\) −8.38186 26.0742i −0.416498 1.29563i
\(406\) −8.12614 7.75103i −0.403294 0.384677i
\(407\) 11.1819i 0.554265i
\(408\) 8.08357 + 0.429986i 0.400196 + 0.0212875i
\(409\) −17.1469 + 9.89977i −0.847860 + 0.489512i −0.859928 0.510415i \(-0.829492\pi\)
0.0120681 + 0.999927i \(0.496159\pi\)
\(410\) −20.5227 + 11.8488i −1.01354 + 0.585169i
\(411\) −32.8087 1.74518i −1.61833 0.0860832i
\(412\) 12.0893i 0.595595i
\(413\) −9.87510 + 2.89767i −0.485922 + 0.142585i
\(414\) −1.76715 + 2.42429i −0.0868508 + 0.119147i
\(415\) 2.84398 4.92591i 0.139605 0.241803i
\(416\) −2.84299 4.92420i −0.139389 0.241429i
\(417\) −15.6720 + 24.0915i −0.767461 + 1.17976i
\(418\) 2.98643 + 1.72422i 0.146071 + 0.0843343i
\(419\) 27.5888 1.34780 0.673902 0.738821i \(-0.264617\pi\)
0.673902 + 0.738821i \(0.264617\pi\)
\(420\) 10.1477 9.56554i 0.495156 0.466751i
\(421\) −4.84341 −0.236054 −0.118027 0.993010i \(-0.537657\pi\)
−0.118027 + 0.993010i \(0.537657\pi\)
\(422\) −15.2130 8.78323i −0.740557 0.427561i
\(423\) −31.4960 3.36022i −1.53139 0.163379i
\(424\) −2.28749 3.96204i −0.111090 0.192414i
\(425\) 9.95652 17.2452i 0.482962 0.836515i
\(426\) −9.51576 + 4.83915i −0.461040 + 0.234457i
\(427\) 4.00743 4.20137i 0.193933 0.203318i
\(428\) 14.7805i 0.714445i
\(429\) −1.84489 + 34.6832i −0.0890719 + 1.67452i
\(430\) −6.58752 + 3.80331i −0.317678 + 0.183412i
\(431\) −26.5405 + 15.3232i −1.27841 + 0.738090i −0.976556 0.215264i \(-0.930939\pi\)
−0.301854 + 0.953354i \(0.597606\pi\)
\(432\) −4.03048 3.27952i −0.193917 0.157786i
\(433\) 33.9937i 1.63363i −0.576899 0.816815i \(-0.695737\pi\)
0.576899 0.816815i \(-0.304263\pi\)
\(434\) −0.723570 + 2.98027i −0.0347325 + 0.143058i
\(435\) 10.1413 + 19.9419i 0.486236 + 0.956142i
\(436\) −8.40077 + 14.5506i −0.402324 + 0.696845i
\(437\) −0.488906 0.846810i −0.0233875 0.0405084i
\(438\) −3.31932 2.15929i −0.158603 0.103175i
\(439\) 9.44907 + 5.45542i 0.450979 + 0.260373i 0.708244 0.705968i \(-0.249488\pi\)
−0.257264 + 0.966341i \(0.582821\pi\)
\(440\) −10.7322 −0.511637
\(441\) 1.23917 20.9634i 0.0590082 0.998257i
\(442\) −26.5743 −1.26401
\(443\) 14.8072 + 8.54892i 0.703510 + 0.406172i 0.808653 0.588285i \(-0.200197\pi\)
−0.105143 + 0.994457i \(0.533530\pi\)
\(444\) 4.60340 + 2.99461i 0.218468 + 0.142118i
\(445\) 24.4453 + 42.3406i 1.15882 + 2.00714i
\(446\) −2.99855 + 5.19364i −0.141985 + 0.245926i
\(447\) 11.5883 + 22.7874i 0.548108 + 1.07781i
\(448\) 0.624219 2.57106i 0.0294916 0.121471i
\(449\) 15.1529i 0.715109i −0.933892 0.357555i \(-0.883611\pi\)
0.933892 0.357555i \(-0.116389\pi\)
\(450\) −11.6852 + 5.18067i −0.550844 + 0.244219i
\(451\) 23.7837 13.7315i 1.11993 0.646591i
\(452\) −14.8995 + 8.60221i −0.700812 + 0.404614i
\(453\) −0.736503 + 13.8460i −0.0346039 + 0.650541i
\(454\) 25.0680i 1.17650i
\(455\) −31.5977 + 33.1269i −1.48132 + 1.55301i
\(456\) 1.50963 0.767706i 0.0706948 0.0359511i
\(457\) −7.07697 + 12.2577i −0.331047 + 0.573389i −0.982717 0.185112i \(-0.940735\pi\)
0.651671 + 0.758502i \(0.274068\pi\)
\(458\) 10.3969 + 18.0080i 0.485816 + 0.841457i
\(459\) −22.6924 + 8.64971i −1.05919 + 0.403734i
\(460\) 2.63544 + 1.52157i 0.122878 + 0.0709436i
\(461\) 40.8123 1.90082 0.950410 0.310999i \(-0.100664\pi\)
0.950410 + 0.310999i \(0.100664\pi\)
\(462\) −11.7601 + 11.0855i −0.547129 + 0.515743i
\(463\) −33.3378 −1.54934 −0.774669 0.632367i \(-0.782083\pi\)
−0.774669 + 0.632367i \(0.782083\pi\)
\(464\) 3.67588 + 2.12227i 0.170648 + 0.0985239i
\(465\) 3.33164 5.12150i 0.154501 0.237504i
\(466\) −2.47418 4.28541i −0.114614 0.198518i
\(467\) 5.45274 9.44443i 0.252323 0.437036i −0.711842 0.702340i \(-0.752139\pi\)
0.964165 + 0.265303i \(0.0854721\pi\)
\(468\) 13.7844 + 10.0480i 0.637186 + 0.464468i
\(469\) 1.15351 0.338476i 0.0532640 0.0156294i
\(470\) 32.1303i 1.48206i
\(471\) 6.49587 + 0.345532i 0.299314 + 0.0159213i
\(472\) 3.36867 1.94490i 0.155056 0.0895214i
\(473\) 7.63425 4.40764i 0.351023 0.202663i
\(474\) 2.13851 + 0.113753i 0.0982249 + 0.00522483i
\(475\) 4.16617i 0.191157i
\(476\) −8.94768 8.53465i −0.410116 0.391185i
\(477\) 11.0911 + 8.08468i 0.507824 + 0.370172i
\(478\) 7.66824 13.2818i 0.350737 0.607494i
\(479\) 11.0475 + 19.1349i 0.504774 + 0.874294i 0.999985 + 0.00552108i \(0.00175742\pi\)
−0.495211 + 0.868773i \(0.664909\pi\)
\(480\) −2.87418 + 4.41828i −0.131188 + 0.201666i
\(481\) −15.6129 9.01411i −0.711887 0.411008i
\(482\) −7.83581 −0.356911
\(483\) 4.45951 1.05489i 0.202915 0.0479990i
\(484\) 1.43751 0.0653413
\(485\) −43.5937 25.1688i −1.97949 1.14286i
\(486\) 15.0414 + 4.09348i 0.682291 + 0.185684i
\(487\) −19.1558 33.1788i −0.868032 1.50347i −0.864005 0.503483i \(-0.832052\pi\)
−0.00402648 0.999992i \(-0.501282\pi\)
\(488\) −1.09725 + 1.90050i −0.0496703 + 0.0860315i
\(489\) −28.1265 + 14.3035i −1.27193 + 0.646825i
\(490\) −21.2782 + 1.00598i −0.961252 + 0.0454457i
\(491\) 24.7789i 1.11826i −0.829081 0.559129i \(-0.811136\pi\)
0.829081 0.559129i \(-0.188864\pi\)
\(492\) 0.716439 13.4688i 0.0322996 0.607220i
\(493\) 17.1798 9.91874i 0.773738 0.446718i
\(494\) −4.81494 + 2.77991i −0.216634 + 0.125074i
\(495\) 29.4335 13.0495i 1.32294 0.586531i
\(496\) 1.15916i 0.0520479i
\(497\) 15.8468 + 3.84739i 0.710826 + 0.172579i
\(498\) 1.46748 + 2.88568i 0.0657596 + 0.129310i
\(499\) −11.2185 + 19.4311i −0.502211 + 0.869855i 0.497786 + 0.867300i \(0.334147\pi\)
−0.999997 + 0.00255484i \(0.999187\pi\)
\(500\) −1.12489 1.94837i −0.0503068 0.0871339i
\(501\) 0.0305888 + 0.0198987i 0.00136661 + 0.000889007i
\(502\) 0.554491 + 0.320136i 0.0247482 + 0.0142884i
\(503\) −14.3124 −0.638157 −0.319079 0.947728i \(-0.603373\pi\)
−0.319079 + 0.947728i \(0.603373\pi\)
\(504\) 1.41425 + 7.81024i 0.0629958 + 0.347896i
\(505\) −29.6215 −1.31814
\(506\) −3.05420 1.76334i −0.135776 0.0783901i
\(507\) −28.0653 18.2571i −1.24642 0.810824i
\(508\) 4.77846 + 8.27654i 0.212010 + 0.367212i
\(509\) −4.59903 + 7.96576i −0.203849 + 0.353076i −0.949765 0.312963i \(-0.898678\pi\)
0.745917 + 0.666039i \(0.232012\pi\)
\(510\) 11.1665 + 21.9580i 0.494462 + 0.972316i
\(511\) 1.70310 + 5.80406i 0.0753406 + 0.256756i
\(512\) 1.00000i 0.0441942i
\(513\) −3.20675 + 3.94105i −0.141582 + 0.174002i
\(514\) −13.3068 + 7.68269i −0.586938 + 0.338869i
\(515\) −31.8605 + 18.3947i −1.40394 + 0.810566i
\(516\) 0.229968 4.32331i 0.0101238 0.190323i
\(517\) 37.2357i 1.63762i
\(518\) −2.36194 8.04936i −0.103778 0.353669i
\(519\) 38.4131 19.5346i 1.68615 0.857474i
\(520\) 8.65161 14.9850i 0.379398 0.657137i
\(521\) 13.1054 + 22.6993i 0.574160 + 0.994474i 0.996132 + 0.0878652i \(0.0280045\pi\)
−0.421973 + 0.906609i \(0.638662\pi\)
\(522\) −12.6618 1.35084i −0.554190 0.0591249i
\(523\) 26.9092 + 15.5360i 1.17666 + 0.679343i 0.955239 0.295836i \(-0.0955981\pi\)
0.221418 + 0.975179i \(0.428931\pi\)
\(524\) 9.87231 0.431274
\(525\) 18.7023 + 5.60792i 0.816236 + 0.244750i
\(526\) 10.0817 0.439585
\(527\) −4.69170 2.70876i −0.204374 0.117995i
\(528\) 3.33088 5.12033i 0.144958 0.222834i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) 6.96114 12.0571i 0.302373 0.523725i
\(531\) −6.87388 + 9.43001i −0.298301 + 0.409228i
\(532\) −2.51401 0.610369i −0.108996 0.0264629i
\(533\) 44.2778i 1.91789i
\(534\) −27.7876 1.47809i −1.20249 0.0639634i
\(535\) 38.9532 22.4896i 1.68409 0.972312i
\(536\) −0.393493 + 0.227183i −0.0169963 + 0.00981283i
\(537\) −12.6892 0.674969i −0.547578 0.0291271i
\(538\) 4.08054i 0.175925i
\(539\) 24.6593 1.16583i 1.06215 0.0502159i
\(540\) 2.51030 15.6121i 0.108026 0.671837i
\(541\) −17.4839 + 30.2831i −0.751693 + 1.30197i 0.195309 + 0.980742i \(0.437429\pi\)
−0.947002 + 0.321228i \(0.895904\pi\)
\(542\) −7.61019 13.1812i −0.326886 0.566182i
\(543\) −20.0327 + 30.7949i −0.859687 + 1.32154i
\(544\) 4.04750 + 2.33683i 0.173535 + 0.100191i
\(545\) −51.1294 −2.19014
\(546\) −5.99806 25.3566i −0.256693 1.08516i
\(547\) 7.12654 0.304709 0.152354 0.988326i \(-0.451314\pi\)
0.152354 + 0.988326i \(0.451314\pi\)
\(548\) −16.4275 9.48443i −0.701749 0.405155i
\(549\) 0.698412 6.54636i 0.0298075 0.279392i
\(550\) −7.51308 13.0130i −0.320359 0.554878i
\(551\) 2.07518 3.59432i 0.0884057 0.153123i
\(552\) −1.54388 + 0.785127i −0.0657120 + 0.0334172i
\(553\) −2.36711 2.25784i −0.100660 0.0960131i
\(554\) 5.60532i 0.238147i
\(555\) −0.887703 + 16.6885i −0.0376809 + 0.708387i
\(556\) −14.3702 + 8.29663i −0.609432 + 0.351856i
\(557\) −5.99987 + 3.46403i −0.254223 + 0.146776i −0.621696 0.783258i \(-0.713556\pi\)
0.367474 + 0.930034i \(0.380223\pi\)
\(558\) 1.40945 + 3.17905i 0.0596666 + 0.134580i
\(559\) 14.2126i 0.601130i
\(560\) 7.72566 2.26696i 0.326469 0.0957965i
\(561\) −12.9408 25.4471i −0.546363 1.07438i
\(562\) 0.284579 0.492905i 0.0120042 0.0207920i
\(563\) −9.32151 16.1453i −0.392855 0.680445i 0.599970 0.800023i \(-0.295179\pi\)
−0.992825 + 0.119578i \(0.961846\pi\)
\(564\) −15.3293 9.97206i −0.645482 0.419899i
\(565\) −45.3411 26.1777i −1.90752 1.10130i
\(566\) −22.6955 −0.953962
\(567\) −13.3753 19.7003i −0.561709 0.827335i
\(568\) −6.16353 −0.258616
\(569\) −7.01975 4.05285i −0.294283 0.169904i 0.345589 0.938386i \(-0.387679\pi\)
−0.639872 + 0.768482i \(0.721013\pi\)
\(570\) 4.32025 + 2.81041i 0.180955 + 0.117715i
\(571\) 18.6326 + 32.2726i 0.779751 + 1.35057i 0.932085 + 0.362239i \(0.117988\pi\)
−0.152335 + 0.988329i \(0.548679\pi\)
\(572\) −10.0263 + 17.3661i −0.419222 + 0.726113i
\(573\) −4.15052 8.16164i −0.173391 0.340957i
\(574\) −14.2204 + 14.9086i −0.593547 + 0.622271i
\(575\) 4.26070i 0.177684i
\(576\) −1.21592 2.74254i −0.0506633 0.114273i
\(577\) −28.5191 + 16.4655i −1.18727 + 0.685469i −0.957684 0.287821i \(-0.907069\pi\)
−0.229582 + 0.973289i \(0.573736\pi\)
\(578\) 4.19417 2.42151i 0.174455 0.100721i
\(579\) 0.214494 4.03240i 0.00891405 0.167581i
\(580\) 12.9167i 0.536338i
\(581\) 1.16673 4.80558i 0.0484042 0.199369i
\(582\) 25.5379 12.9871i 1.05858 0.538331i
\(583\) −8.06725 + 13.9729i −0.334111 + 0.578698i
\(584\) −1.14311 1.97992i −0.0473022 0.0819299i
\(585\) −5.50683 + 51.6167i −0.227679 + 2.13409i
\(586\) −6.12371 3.53552i −0.252968 0.146051i
\(587\) 22.2473 0.918243 0.459121 0.888374i \(-0.348164\pi\)
0.459121 + 0.888374i \(0.348164\pi\)
\(588\) 6.12402 10.4641i 0.252550 0.431530i
\(589\) −1.13344 −0.0467027
\(590\) 10.2513 + 5.91861i 0.422041 + 0.243665i
\(591\) 24.4561 37.5946i 1.00599 1.54643i
\(592\) 1.58532 + 2.74586i 0.0651564 + 0.112854i
\(593\) −17.5830 + 30.4547i −0.722047 + 1.25062i 0.238131 + 0.971233i \(0.423465\pi\)
−0.960178 + 0.279389i \(0.909868\pi\)
\(594\) −2.90918 + 18.0928i −0.119365 + 0.742357i
\(595\) 8.87800 36.5671i 0.363963 1.49910i
\(596\) 14.7598i 0.604585i
\(597\) 47.6256 + 2.53333i 1.94919 + 0.103682i
\(598\) 4.92420 2.84299i 0.201365 0.116258i
\(599\) 17.7942 10.2735i 0.727051 0.419763i −0.0902913 0.995915i \(-0.528780\pi\)
0.817342 + 0.576152i \(0.195446\pi\)
\(600\) −7.36933 0.391994i −0.300852 0.0160031i
\(601\) 24.7569i 1.00986i −0.863161 0.504928i \(-0.831519\pi\)
0.863161 0.504928i \(-0.168481\pi\)
\(602\) −4.56456 + 4.78546i −0.186037 + 0.195041i
\(603\) 0.802935 1.10152i 0.0326980 0.0448572i
\(604\) −4.00264 + 6.93278i −0.162865 + 0.282091i
\(605\) 2.18727 + 3.78847i 0.0889252 + 0.154023i
\(606\) 9.19343 14.1324i 0.373458 0.574090i
\(607\) −8.18046 4.72299i −0.332035 0.191700i 0.324709 0.945814i \(-0.394733\pi\)
−0.656744 + 0.754114i \(0.728067\pi\)
\(608\) 0.977812 0.0396555
\(609\) 13.3419 + 14.1539i 0.540641 + 0.573543i
\(610\) −6.67819 −0.270392
\(611\) 51.9910 + 30.0170i 2.10333 + 1.21436i
\(612\) −13.9418 1.48741i −0.563565 0.0601251i
\(613\) −6.92878 12.0010i −0.279851 0.484716i 0.691497 0.722380i \(-0.256952\pi\)
−0.971347 + 0.237664i \(0.923618\pi\)
\(614\) 2.87230 4.97497i 0.115917 0.200773i
\(615\) 36.5863 18.6056i 1.47530 0.750249i
\(616\) −8.95324 + 2.62717i −0.360736 + 0.105852i
\(617\) 44.3914i 1.78713i 0.448933 + 0.893565i \(0.351804\pi\)
−0.448933 + 0.893565i \(0.648196\pi\)
\(618\) 1.11224 20.9097i 0.0447408 0.841110i
\(619\) 22.8194 13.1748i 0.917191 0.529541i 0.0344533 0.999406i \(-0.489031\pi\)
0.882738 + 0.469866i \(0.155698\pi\)
\(620\) 3.05490 1.76374i 0.122688 0.0708337i
\(621\) 3.27952 4.03048i 0.131602 0.161738i
\(622\) 29.0698i 1.16559i
\(623\) 30.7580 + 29.3382i 1.23229 + 1.17541i
\(624\) 4.46421 + 8.77848i 0.178711 + 0.351420i
\(625\) 14.0750 24.3786i 0.562999 0.975142i
\(626\) 1.76140 + 3.05084i 0.0703998 + 0.121936i
\(627\) −5.00672 3.25698i −0.199949 0.130071i
\(628\) 3.25253 + 1.87785i 0.129790 + 0.0749342i
\(629\) 14.8185 0.590852
\(630\) −18.4315 + 15.6110i −0.734329 + 0.621957i
\(631\) 0.674815 0.0268640 0.0134320 0.999910i \(-0.495724\pi\)
0.0134320 + 0.999910i \(0.495724\pi\)
\(632\) 1.07077 + 0.618207i 0.0425928 + 0.0245909i
\(633\) 25.5044 + 16.5911i 1.01371 + 0.659439i
\(634\) 3.80339 + 6.58767i 0.151052 + 0.261630i
\(635\) −14.5415 + 25.1867i −0.577063 + 0.999503i
\(636\) 3.59193 + 7.06323i 0.142429 + 0.280075i
\(637\) −18.2509 + 35.3707i −0.723127 + 1.40144i
\(638\) 14.9691i 0.592634i
\(639\) 16.9037 7.49435i 0.668701 0.296472i
\(640\) −2.63544 + 1.52157i −0.104175 + 0.0601453i
\(641\) 10.5081 6.06688i 0.415047 0.239627i −0.277909 0.960607i \(-0.589641\pi\)
0.692956 + 0.720980i \(0.256308\pi\)
\(642\) −1.35984 + 25.5645i −0.0536687 + 1.00895i
\(643\) 14.1206i 0.556863i 0.960456 + 0.278431i \(0.0898145\pi\)
−0.960456 + 0.278431i \(0.910186\pi\)
\(644\) 2.57106 + 0.624219i 0.101314 + 0.0245977i
\(645\) 11.7437 5.97215i 0.462409 0.235153i
\(646\) 2.28498 3.95770i 0.0899012 0.155713i
\(647\) −5.02349 8.70094i −0.197494 0.342069i 0.750221 0.661187i \(-0.229947\pi\)
−0.947715 + 0.319117i \(0.896614\pi\)
\(648\) 6.66942 + 6.04308i 0.262000 + 0.237395i
\(649\) −11.8802 6.85906i −0.466340 0.269242i
\(650\) 24.2262 0.950231
\(651\) 1.52568 5.08813i 0.0597962 0.199419i
\(652\) −18.2180 −0.713473
\(653\) 1.96845 + 1.13648i 0.0770313 + 0.0444741i 0.538021 0.842931i \(-0.319172\pi\)
−0.460990 + 0.887406i \(0.652505\pi\)
\(654\) 15.8687 24.3938i 0.620515 0.953874i
\(655\) 15.0214 + 26.0178i 0.586935 + 1.01660i
\(656\) 3.89360 6.74392i 0.152020 0.263306i
\(657\) 5.54246 + 4.04010i 0.216232 + 0.157619i
\(658\) 7.86528 + 26.8044i 0.306620 + 1.04494i
\(659\) 11.8370i 0.461102i 0.973060 + 0.230551i \(0.0740529\pi\)
−0.973060 + 0.230551i \(0.925947\pi\)
\(660\) 18.5625 + 0.987385i 0.722543 + 0.0384339i
\(661\) 35.8305 20.6867i 1.39364 0.804621i 0.399928 0.916547i \(-0.369035\pi\)
0.993717 + 0.111926i \(0.0357018\pi\)
\(662\) 29.9436 17.2879i 1.16379 0.671914i
\(663\) 45.9630 + 2.44489i 1.78505 + 0.0949516i
\(664\) 1.86911i 0.0725354i
\(665\) −2.21666 7.55424i −0.0859584 0.292941i
\(666\) −7.68656 5.60302i −0.297848 0.217112i
\(667\) −2.12227 + 3.67588i −0.0821746 + 0.142331i
\(668\) 0.0105342 + 0.0182458i 0.000407581 + 0.000705950i
\(669\) 5.66413 8.70707i 0.218988 0.336635i
\(670\) −1.19745 0.691351i −0.0462617 0.0267092i
\(671\) 7.73933 0.298773
\(672\) −1.31620 + 4.38949i −0.0507734 + 0.169328i
\(673\) −9.57325 −0.369022 −0.184511 0.982830i \(-0.559070\pi\)
−0.184511 + 0.982830i \(0.559070\pi\)
\(674\) 17.6236 + 10.1750i 0.678834 + 0.391925i
\(675\) 20.6873 7.88545i 0.796256 0.303511i
\(676\) −9.66515 16.7405i −0.371736 0.643866i
\(677\) −21.6457 + 37.4915i −0.831912 + 1.44091i 0.0646072 + 0.997911i \(0.479421\pi\)
−0.896520 + 0.443004i \(0.853913\pi\)
\(678\) 26.5616 13.5076i 1.02009 0.518758i
\(679\) −42.5288 10.3254i −1.63211 0.396254i
\(680\) 14.2226i 0.545411i
\(681\) −2.30631 + 43.3578i −0.0883781 + 1.66148i
\(682\) −3.54031 + 2.04400i −0.135565 + 0.0782687i
\(683\) 20.2102 11.6684i 0.773324 0.446479i −0.0607353 0.998154i \(-0.519345\pi\)
0.834059 + 0.551675i \(0.186011\pi\)
\(684\) −2.68169 + 1.18894i −0.102537 + 0.0454603i
\(685\) 57.7249i 2.20556i
\(686\) −17.5049 + 6.04800i −0.668340 + 0.230914i
\(687\) −16.3258 32.1032i −0.622867 1.22481i
\(688\) 1.24980 2.16471i 0.0476480 0.0825288i
\(689\) −13.0066 22.5281i −0.495512 0.858251i
\(690\) −4.41828 2.87418i −0.168201 0.109418i
\(691\) 13.4781 + 7.78158i 0.512731 + 0.296025i 0.733955 0.679198i \(-0.237672\pi\)
−0.221225 + 0.975223i \(0.571005\pi\)
\(692\) 24.8808 0.945827
\(693\) 21.3602 18.0915i 0.811408 0.687241i
\(694\) 7.68032 0.291541
\(695\) −43.7305 25.2478i −1.65879 0.957704i
\(696\) −6.16257 4.00888i −0.233591 0.151956i
\(697\) −18.1973 31.5187i −0.689273 1.19386i
\(698\) −7.88353 + 13.6547i −0.298396 + 0.516837i
\(699\) 3.88510 + 7.63970i 0.146948 + 0.288960i
\(700\) 8.15709 + 7.78055i 0.308309 + 0.294077i
\(701\) 24.7791i 0.935894i −0.883757 0.467947i \(-0.844994\pi\)
0.883757 0.467947i \(-0.155006\pi\)
\(702\) −22.9172 18.6472i −0.864954 0.703795i
\(703\) 2.68494 1.55015i 0.101264 0.0584650i
\(704\) 3.05420 1.76334i 0.115109 0.0664585i
\(705\) 2.95605 55.5727i 0.111331 2.09299i
\(706\) 21.9476i 0.826009i
\(707\) −24.7115 + 7.25115i −0.929371 + 0.272708i
\(708\) −6.00541 + 3.05399i −0.225697 + 0.114776i
\(709\) 12.3205 21.3398i 0.462708 0.801433i −0.536387 0.843972i \(-0.680211\pi\)
0.999095 + 0.0425387i \(0.0135446\pi\)
\(710\) −9.37824 16.2436i −0.351959 0.609611i
\(711\) −3.68831 0.393494i −0.138322 0.0147572i
\(712\) −13.9135 8.03294i −0.521429 0.301047i
\(713\) 1.15916 0.0434109
\(714\) 14.6907 + 15.5848i 0.549787 + 0.583246i
\(715\) −61.0230 −2.28213
\(716\) −6.35355 3.66823i −0.237443 0.137088i
\(717\) −14.4850 + 22.2667i −0.540952 + 0.831567i
\(718\) −3.24641 5.62294i −0.121155 0.209846i
\(719\) 7.09273 12.2850i 0.264514 0.458152i −0.702922 0.711267i \(-0.748122\pi\)
0.967436 + 0.253115i \(0.0814551\pi\)
\(720\) 5.37769 7.37745i 0.200415 0.274941i
\(721\) −22.0764 + 23.1448i −0.822170 + 0.861958i
\(722\) 18.0439i 0.671524i
\(723\) 13.5529 + 0.720911i 0.504036 + 0.0268110i
\(724\) −18.3687 + 10.6052i −0.682667 + 0.394138i
\(725\) −15.6618 + 9.04236i −0.581665 + 0.335825i
\(726\) −2.48632 0.132254i −0.0922762 0.00490840i
\(727\) 37.6549i 1.39654i −0.715833 0.698271i \(-0.753953\pi\)
0.715833 0.698271i \(-0.246047\pi\)
\(728\) 3.54929 14.6190i 0.131546 0.541815i
\(729\) −25.6391 8.46394i −0.949595 0.313479i
\(730\) 3.47864 6.02519i 0.128750 0.223002i
\(731\) −5.84111 10.1171i −0.216041 0.374195i
\(732\) 2.07266 3.18616i 0.0766079 0.117764i
\(733\) 4.65799 + 2.68929i 0.172047 + 0.0993313i 0.583551 0.812077i \(-0.301663\pi\)
−0.411504 + 0.911408i \(0.634996\pi\)
\(734\) 35.7682 1.32023
\(735\) 36.8955 + 0.217687i 1.36091 + 0.00802952i
\(736\) −1.00000 −0.0368605
\(737\) 1.38773 + 0.801204i 0.0511176 + 0.0295127i
\(738\) −2.47831 + 23.2298i −0.0912280 + 0.855100i
\(739\) 5.74650 + 9.95323i 0.211388 + 0.366135i 0.952149 0.305633i \(-0.0988682\pi\)
−0.740761 + 0.671769i \(0.765535\pi\)
\(740\) −4.82436 + 8.35604i −0.177347 + 0.307174i
\(741\) 8.58371 4.36516i 0.315330 0.160358i
\(742\) 2.85579 11.7625i 0.104839 0.431816i
\(743\) 48.1050i 1.76480i −0.470499 0.882400i \(-0.655926\pi\)
0.470499 0.882400i \(-0.344074\pi\)
\(744\) −0.106645 + 2.00489i −0.00390980 + 0.0735029i
\(745\) −38.8985 + 22.4581i −1.42513 + 0.822800i
\(746\) −30.2317 + 17.4543i −1.10686 + 0.639047i
\(747\) −2.27268 5.12610i −0.0831530 0.187554i
\(748\) 16.4825i 0.602660i
\(749\) 26.9910 28.2973i 0.986231 1.03396i
\(750\) 1.76637 + 3.47341i 0.0644986 + 0.126831i
\(751\) −9.05517 + 15.6840i −0.330428 + 0.572318i −0.982596 0.185757i \(-0.940526\pi\)
0.652168 + 0.758075i \(0.273860\pi\)
\(752\) −5.27913 9.14372i −0.192510 0.333437i
\(753\) −0.929598 0.604723i −0.0338764 0.0220373i
\(754\) 20.9009 + 12.0672i 0.761167 + 0.439460i
\(755\) −24.3612 −0.886594
\(756\) −1.72754 13.6388i −0.0628301 0.496037i
\(757\) 8.15678 0.296463 0.148232 0.988953i \(-0.452642\pi\)
0.148232 + 0.988953i \(0.452642\pi\)
\(758\) 15.8572 + 9.15518i 0.575961 + 0.332531i
\(759\) 5.12033 + 3.33088i 0.185856 + 0.120903i
\(760\) 1.48781 + 2.57696i 0.0539685 + 0.0934762i
\(761\) −0.321462 + 0.556789i −0.0116530 + 0.0201836i −0.871793 0.489874i \(-0.837043\pi\)
0.860140 + 0.510058i \(0.170376\pi\)
\(762\) −7.50340 14.7548i −0.271819 0.534509i
\(763\) −42.6543 + 12.5161i −1.54419 + 0.453115i
\(764\) 5.28644i 0.191257i
\(765\) −17.2935 39.0060i −0.625248 1.41027i
\(766\) −2.48795 + 1.43642i −0.0898934 + 0.0519000i
\(767\) 19.1542 11.0587i 0.691617 0.399305i
\(768\) 0.0920021 1.72961i 0.00331984 0.0624118i
\(769\) 54.5680i 1.96777i −0.178794 0.983887i \(-0.557220\pi\)
0.178794 0.983887i \(-0.442780\pi\)
\(770\) −20.5467 19.5983i −0.740453 0.706273i