Properties

Label 483.2.bb.a.26.7
Level $483$
Weight $2$
Character 483.26
Analytic conductor $3.857$
Analytic rank $0$
Dimension $1200$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(26,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([33, 55, 48]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.26");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bb (of order \(66\), degree \(20\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(1200\)
Relative dimension: \(60\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 26.7
Character \(\chi\) \(=\) 483.26
Dual form 483.2.bb.a.353.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.901659 + 2.25223i) q^{2} +(-1.16696 - 1.27992i) q^{3} +(-2.81210 - 2.68133i) q^{4} +(0.232309 + 0.671212i) q^{5} +(3.93489 - 1.47421i) q^{6} +(-2.47888 + 0.924746i) q^{7} +(4.16099 - 1.90026i) q^{8} +(-0.276410 + 2.98724i) q^{9} +O(q^{10})\) \(q+(-0.901659 + 2.25223i) q^{2} +(-1.16696 - 1.27992i) q^{3} +(-2.81210 - 2.68133i) q^{4} +(0.232309 + 0.671212i) q^{5} +(3.93489 - 1.47421i) q^{6} +(-2.47888 + 0.924746i) q^{7} +(4.16099 - 1.90026i) q^{8} +(-0.276410 + 2.98724i) q^{9} +(-1.72119 - 0.0819904i) q^{10} +(-1.11141 - 2.77616i) q^{11} +(-0.150293 + 6.72829i) q^{12} +(1.79409 - 2.79165i) q^{13} +(0.152358 - 6.41682i) q^{14} +(0.588005 - 1.08061i) q^{15} +(0.158276 + 3.32262i) q^{16} +(0.311556 + 1.28425i) q^{17} +(-6.47874 - 3.31601i) q^{18} +(2.07491 + 0.503368i) q^{19} +(1.14647 - 2.51041i) q^{20} +(4.07636 + 2.09364i) q^{21} +7.25466 q^{22} +(3.64870 - 3.11239i) q^{23} +(-7.28790 - 3.10822i) q^{24} +(3.53371 - 2.77894i) q^{25} +(4.66981 + 6.55782i) q^{26} +(4.14600 - 3.13220i) q^{27} +(9.45042 + 4.04622i) q^{28} +(-2.16566 + 7.37555i) q^{29} +(1.90362 + 2.29867i) q^{30} +(6.52586 + 4.64704i) q^{31} +(1.01954 + 0.352865i) q^{32} +(-2.25630 + 4.66218i) q^{33} +(-3.17335 - 0.456259i) q^{34} +(-1.19657 - 1.44903i) q^{35} +(8.78708 - 7.65928i) q^{36} +(-1.52829 + 0.294554i) q^{37} +(-3.00456 + 4.21932i) q^{38} +(-5.66673 + 0.961453i) q^{39} +(2.24211 + 2.35146i) q^{40} +(-1.99209 + 2.29899i) q^{41} +(-8.39084 + 7.29317i) q^{42} +(4.44619 - 9.73581i) q^{43} +(-4.31842 + 10.7869i) q^{44} +(-2.06928 + 0.508432i) q^{45} +(3.71994 + 11.0240i) q^{46} +(2.79526 - 4.84154i) q^{47} +(4.06799 - 4.07994i) q^{48} +(5.28969 - 4.58467i) q^{49} +(3.07262 + 10.4644i) q^{50} +(1.28017 - 1.89744i) q^{51} +(-12.5305 + 3.03987i) q^{52} +(3.66072 - 7.10081i) q^{53} +(3.31618 + 12.1619i) q^{54} +(1.60520 - 1.39091i) q^{55} +(-8.55733 + 8.55838i) q^{56} +(-1.77706 - 3.24314i) q^{57} +(-14.6588 - 11.5278i) q^{58} +(0.0665143 - 1.39631i) q^{59} +(-4.55102 + 1.46216i) q^{60} +(-0.497275 + 5.20770i) q^{61} +(-16.3503 + 10.5077i) q^{62} +(-2.07725 - 7.66062i) q^{63} +(-6.07065 + 7.00590i) q^{64} +(2.29057 + 0.555687i) q^{65} +(-8.46590 - 9.28542i) q^{66} +(7.36286 - 5.79021i) q^{67} +(2.56738 - 4.44684i) q^{68} +(-8.24151 - 1.03803i) q^{69} +(4.34244 - 1.38842i) q^{70} +(-0.417778 + 0.0600674i) q^{71} +(4.52639 + 12.9551i) q^{72} +(-4.46926 + 4.68722i) q^{73} +(0.714592 - 3.70766i) q^{74} +(-7.68052 - 1.27997i) q^{75} +(-4.48516 - 6.97905i) q^{76} +(5.32228 + 5.85399i) q^{77} +(2.94404 - 13.6297i) q^{78} +(3.81724 - 1.96793i) q^{79} +(-2.19341 + 0.878109i) q^{80} +(-8.84720 - 1.65140i) q^{81} +(-3.38168 - 6.55955i) q^{82} +(-11.3469 - 13.0950i) q^{83} +(-5.84940 - 16.8176i) q^{84} +(-0.789628 + 0.507463i) q^{85} +(17.9184 + 18.7922i) q^{86} +(11.9674 - 5.83509i) q^{87} +(-9.89997 - 9.43960i) q^{88} +(-0.521285 - 0.732043i) q^{89} +(0.720679 - 5.11894i) q^{90} +(-1.86575 + 8.57925i) q^{91} +(-18.6059 - 1.03104i) q^{92} +(-1.66755 - 13.7755i) q^{93} +(8.38391 + 10.6610i) q^{94} +(0.144153 + 1.50964i) q^{95} +(-0.738118 - 1.71671i) q^{96} +(10.5336 + 9.12743i) q^{97} +(5.55626 + 16.0474i) q^{98} +(8.60025 - 2.55268i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.901659 + 2.25223i −0.637569 + 1.59257i 0.158496 + 0.987360i \(0.449335\pi\)
−0.796065 + 0.605211i \(0.793089\pi\)
\(3\) −1.16696 1.27992i −0.673745 0.738964i
\(4\) −2.81210 2.68133i −1.40605 1.34067i
\(5\) 0.232309 + 0.671212i 0.103892 + 0.300175i 0.984952 0.172829i \(-0.0552908\pi\)
−0.881060 + 0.473004i \(0.843170\pi\)
\(6\) 3.93489 1.47421i 1.60641 0.601845i
\(7\) −2.47888 + 0.924746i −0.936928 + 0.349521i
\(8\) 4.16099 1.90026i 1.47113 0.671843i
\(9\) −0.276410 + 2.98724i −0.0921366 + 0.995746i
\(10\) −1.72119 0.0819904i −0.544288 0.0259276i
\(11\) −1.11141 2.77616i −0.335101 0.837043i −0.996228 0.0867688i \(-0.972346\pi\)
0.661127 0.750274i \(-0.270078\pi\)
\(12\) −0.150293 + 6.72829i −0.0433859 + 1.94229i
\(13\) 1.79409 2.79165i 0.497590 0.774266i −0.498089 0.867126i \(-0.665965\pi\)
0.995679 + 0.0928604i \(0.0296010\pi\)
\(14\) 0.152358 6.41682i 0.0407193 1.71497i
\(15\) 0.588005 1.08061i 0.151822 0.279014i
\(16\) 0.158276 + 3.32262i 0.0395689 + 0.830654i
\(17\) 0.311556 + 1.28425i 0.0755635 + 0.311477i 0.997033 0.0769734i \(-0.0245257\pi\)
−0.921470 + 0.388450i \(0.873011\pi\)
\(18\) −6.47874 3.31601i −1.52705 0.781591i
\(19\) 2.07491 + 0.503368i 0.476017 + 0.115480i 0.466587 0.884475i \(-0.345483\pi\)
0.00942943 + 0.999956i \(0.496998\pi\)
\(20\) 1.14647 2.51041i 0.256358 0.561346i
\(21\) 4.07636 + 2.09364i 0.889534 + 0.456869i
\(22\) 7.25466 1.54670
\(23\) 3.64870 3.11239i 0.760807 0.648978i
\(24\) −7.28790 3.10822i −1.48764 0.634463i
\(25\) 3.53371 2.77894i 0.706741 0.555788i
\(26\) 4.66981 + 6.55782i 0.915824 + 1.28610i
\(27\) 4.14600 3.13220i 0.797898 0.602793i
\(28\) 9.45042 + 4.04622i 1.78596 + 0.764664i
\(29\) −2.16566 + 7.37555i −0.402152 + 1.36961i 0.470989 + 0.882139i \(0.343897\pi\)
−0.873142 + 0.487466i \(0.837921\pi\)
\(30\) 1.90362 + 2.29867i 0.347551 + 0.419678i
\(31\) 6.52586 + 4.64704i 1.17208 + 0.834634i 0.988920 0.148450i \(-0.0474283\pi\)
0.183159 + 0.983083i \(0.441368\pi\)
\(32\) 1.01954 + 0.352865i 0.180230 + 0.0623784i
\(33\) −2.25630 + 4.66218i −0.392772 + 0.811581i
\(34\) −3.17335 0.456259i −0.544226 0.0782478i
\(35\) −1.19657 1.44903i −0.202257 0.244930i
\(36\) 8.78708 7.65928i 1.46451 1.27655i
\(37\) −1.52829 + 0.294554i −0.251250 + 0.0484244i −0.313321 0.949647i \(-0.601442\pi\)
0.0620713 + 0.998072i \(0.480229\pi\)
\(38\) −3.00456 + 4.21932i −0.487404 + 0.684463i
\(39\) −5.66673 + 0.961453i −0.907403 + 0.153956i
\(40\) 2.24211 + 2.35146i 0.354509 + 0.371798i
\(41\) −1.99209 + 2.29899i −0.311112 + 0.359042i −0.889674 0.456596i \(-0.849068\pi\)
0.578562 + 0.815638i \(0.303614\pi\)
\(42\) −8.39084 + 7.29317i −1.29473 + 1.12536i
\(43\) 4.44619 9.73581i 0.678038 1.48470i −0.186670 0.982423i \(-0.559770\pi\)
0.864708 0.502274i \(-0.167503\pi\)
\(44\) −4.31842 + 10.7869i −0.651026 + 1.62618i
\(45\) −2.06928 + 0.508432i −0.308471 + 0.0757926i
\(46\) 3.71994 + 11.0240i 0.548475 + 1.62541i
\(47\) 2.79526 4.84154i 0.407731 0.706211i −0.586904 0.809657i \(-0.699653\pi\)
0.994635 + 0.103446i \(0.0329867\pi\)
\(48\) 4.06799 4.07994i 0.587164 0.588889i
\(49\) 5.28969 4.58467i 0.755670 0.654953i
\(50\) 3.07262 + 10.4644i 0.434534 + 1.47989i
\(51\) 1.28017 1.89744i 0.179260 0.265695i
\(52\) −12.5305 + 3.03987i −1.73767 + 0.421554i
\(53\) 3.66072 7.10081i 0.502839 0.975371i −0.491677 0.870778i \(-0.663616\pi\)
0.994515 0.104593i \(-0.0333539\pi\)
\(54\) 3.31618 + 12.1619i 0.451275 + 1.65503i
\(55\) 1.60520 1.39091i 0.216445 0.187551i
\(56\) −8.55733 + 8.55838i −1.14352 + 1.14366i
\(57\) −1.77706 3.24314i −0.235378 0.429564i
\(58\) −14.6588 11.5278i −1.92479 1.51367i
\(59\) 0.0665143 1.39631i 0.00865942 0.181784i −0.990394 0.138276i \(-0.955844\pi\)
0.999053 0.0435073i \(-0.0138532\pi\)
\(60\) −4.55102 + 1.46216i −0.587534 + 0.188764i
\(61\) −0.497275 + 5.20770i −0.0636696 + 0.666778i 0.906150 + 0.422956i \(0.139007\pi\)
−0.969820 + 0.243822i \(0.921599\pi\)
\(62\) −16.3503 + 10.5077i −2.07649 + 1.33448i
\(63\) −2.07725 7.66062i −0.261709 0.965147i
\(64\) −6.07065 + 7.00590i −0.758831 + 0.875737i
\(65\) 2.29057 + 0.555687i 0.284111 + 0.0689245i
\(66\) −8.46590 9.28542i −1.04208 1.14296i
\(67\) 7.36286 5.79021i 0.899516 0.707387i −0.0572146 0.998362i \(-0.518222\pi\)
0.956731 + 0.290975i \(0.0939795\pi\)
\(68\) 2.56738 4.44684i 0.311341 0.539258i
\(69\) −8.24151 1.03803i −0.992161 0.124964i
\(70\) 4.34244 1.38842i 0.519021 0.165948i
\(71\) −0.417778 + 0.0600674i −0.0495811 + 0.00712869i −0.167061 0.985947i \(-0.553428\pi\)
0.117480 + 0.993075i \(0.462519\pi\)
\(72\) 4.52639 + 12.9551i 0.533441 + 1.52678i
\(73\) −4.46926 + 4.68722i −0.523087 + 0.548598i −0.931283 0.364296i \(-0.881310\pi\)
0.408196 + 0.912894i \(0.366158\pi\)
\(74\) 0.714592 3.70766i 0.0830697 0.431006i
\(75\) −7.68052 1.27997i −0.886870 0.147798i
\(76\) −4.48516 6.97905i −0.514483 0.800552i
\(77\) 5.32228 + 5.85399i 0.606530 + 0.667124i
\(78\) 2.94404 13.6297i 0.333347 1.54326i
\(79\) 3.81724 1.96793i 0.429474 0.221409i −0.229916 0.973210i \(-0.573845\pi\)
0.659389 + 0.751802i \(0.270815\pi\)
\(80\) −2.19341 + 0.878109i −0.245231 + 0.0981756i
\(81\) −8.84720 1.65140i −0.983022 0.183489i
\(82\) −3.38168 6.55955i −0.373445 0.724382i
\(83\) −11.3469 13.0950i −1.24549 1.43737i −0.856518 0.516117i \(-0.827377\pi\)
−0.388969 0.921251i \(-0.627169\pi\)
\(84\) −5.84940 16.8176i −0.638222 1.83495i
\(85\) −0.789628 + 0.507463i −0.0856472 + 0.0550421i
\(86\) 17.9184 + 18.7922i 1.93219 + 2.02642i
\(87\) 11.9674 5.83509i 1.28304 0.625588i
\(88\) −9.89997 9.43960i −1.05534 1.00626i
\(89\) −0.521285 0.732043i −0.0552561 0.0775964i 0.786023 0.618197i \(-0.212137\pi\)
−0.841280 + 0.540600i \(0.818197\pi\)
\(90\) 0.720679 5.11894i 0.0759662 0.539584i
\(91\) −1.86575 + 8.57925i −0.195584 + 0.899350i
\(92\) −18.6059 1.03104i −1.93980 0.107493i
\(93\) −1.66755 13.7755i −0.172917 1.42845i
\(94\) 8.38391 + 10.6610i 0.864734 + 1.09960i
\(95\) 0.144153 + 1.50964i 0.0147898 + 0.154886i
\(96\) −0.738118 1.71671i −0.0753339 0.175211i
\(97\) 10.5336 + 9.12743i 1.06953 + 0.926750i 0.997501 0.0706529i \(-0.0225083\pi\)
0.0720254 + 0.997403i \(0.477054\pi\)
\(98\) 5.55626 + 16.0474i 0.561267 + 1.62103i
\(99\) 8.60025 2.55268i 0.864357 0.256554i
\(100\) −17.3884 1.66039i −1.73884 0.166039i
\(101\) −2.19739 + 6.34893i −0.218648 + 0.631743i 0.781323 + 0.624127i \(0.214545\pi\)
−0.999971 + 0.00761537i \(0.997576\pi\)
\(102\) 3.11920 + 4.59409i 0.308847 + 0.454882i
\(103\) −3.33955 + 4.24658i −0.329055 + 0.418428i −0.922227 0.386648i \(-0.873633\pi\)
0.593172 + 0.805076i \(0.297875\pi\)
\(104\) 2.16031 15.0253i 0.211836 1.47335i
\(105\) −0.458300 + 3.22247i −0.0447255 + 0.314481i
\(106\) 12.6920 + 14.6473i 1.23275 + 1.42267i
\(107\) 0.276346 2.89402i 0.0267153 0.279776i −0.972236 0.234001i \(-0.924818\pi\)
0.998952 0.0457750i \(-0.0145757\pi\)
\(108\) −20.0575 2.30873i −1.93003 0.222157i
\(109\) −4.13125 17.0292i −0.395702 1.63111i −0.726331 0.687345i \(-0.758776\pi\)
0.330629 0.943761i \(-0.392739\pi\)
\(110\) 1.68532 + 4.86942i 0.160689 + 0.464281i
\(111\) 2.16046 + 1.61236i 0.205062 + 0.153039i
\(112\) −3.46492 8.09000i −0.327405 0.764433i
\(113\) 14.0853 2.02516i 1.32503 0.190511i 0.556782 0.830659i \(-0.312036\pi\)
0.768252 + 0.640148i \(0.221127\pi\)
\(114\) 8.90660 1.07816i 0.834180 0.100979i
\(115\) 2.93670 + 1.72602i 0.273849 + 0.160952i
\(116\) 25.8664 14.9340i 2.40163 1.38658i
\(117\) 7.84344 + 6.13101i 0.725126 + 0.566812i
\(118\) 3.08484 + 1.40880i 0.283982 + 0.129690i
\(119\) −1.95992 2.89540i −0.179665 0.265420i
\(120\) 0.393234 5.61379i 0.0358972 0.512467i
\(121\) 1.48925 1.42000i 0.135386 0.129091i
\(122\) −11.2806 5.81555i −1.02130 0.526515i
\(123\) 5.26722 0.133110i 0.474929 0.0120022i
\(124\) −5.89111 30.5660i −0.529037 2.74491i
\(125\) 5.67378 + 3.64632i 0.507478 + 0.326137i
\(126\) 19.1265 + 2.22880i 1.70392 + 0.198557i
\(127\) −0.279497 + 1.94394i −0.0248013 + 0.172497i −0.998457 0.0555250i \(-0.982317\pi\)
0.973656 + 0.228022i \(0.0732258\pi\)
\(128\) −9.31654 18.0716i −0.823474 1.59732i
\(129\) −17.6496 + 5.67051i −1.55396 + 0.499260i
\(130\) −3.31685 + 4.65787i −0.290907 + 0.408522i
\(131\) −0.245267 5.14879i −0.0214291 0.449852i −0.983928 0.178566i \(-0.942854\pi\)
0.962499 0.271286i \(-0.0874488\pi\)
\(132\) 18.8458 7.06062i 1.64032 0.614548i
\(133\) −5.60894 + 0.670977i −0.486357 + 0.0581811i
\(134\) 6.40214 + 21.8037i 0.553060 + 1.88355i
\(135\) 3.06552 + 2.05521i 0.263838 + 0.176884i
\(136\) 3.73680 + 4.75172i 0.320428 + 0.407457i
\(137\) 7.97650 4.60523i 0.681478 0.393452i −0.118934 0.992902i \(-0.537948\pi\)
0.800412 + 0.599451i \(0.204614\pi\)
\(138\) 9.76892 17.6259i 0.831586 1.50041i
\(139\) 16.9576i 1.43833i −0.694840 0.719164i \(-0.744525\pi\)
0.694840 0.719164i \(-0.255475\pi\)
\(140\) −0.520459 + 7.28321i −0.0439868 + 0.615543i
\(141\) −9.45876 + 2.07216i −0.796571 + 0.174507i
\(142\) 0.241407 0.995094i 0.0202584 0.0835064i
\(143\) −9.74403 1.87801i −0.814837 0.157047i
\(144\) −9.96920 0.445597i −0.830767 0.0371331i
\(145\) −5.45366 + 0.259790i −0.452902 + 0.0215744i
\(146\) −6.52698 14.2921i −0.540177 1.18282i
\(147\) −12.0409 1.42027i −0.993115 0.117142i
\(148\) 5.08751 + 3.26954i 0.418191 + 0.268755i
\(149\) 2.13124 2.71010i 0.174598 0.222020i −0.690876 0.722973i \(-0.742775\pi\)
0.865474 + 0.500954i \(0.167017\pi\)
\(150\) 9.80800 16.1442i 0.800819 1.31817i
\(151\) 0.114148 2.39625i 0.00928921 0.195004i −0.989453 0.144857i \(-0.953728\pi\)
0.998742 0.0501475i \(-0.0159692\pi\)
\(152\) 9.59020 1.84836i 0.777868 0.149922i
\(153\) −3.92248 + 0.575713i −0.317114 + 0.0465436i
\(154\) −17.9834 + 6.70872i −1.44915 + 0.540604i
\(155\) −1.60314 + 5.45978i −0.128767 + 0.438540i
\(156\) 18.5134 + 12.4907i 1.48226 + 1.00006i
\(157\) −1.44344 + 1.51384i −0.115199 + 0.120817i −0.778808 0.627262i \(-0.784175\pi\)
0.663609 + 0.748080i \(0.269024\pi\)
\(158\) 0.990380 + 10.3717i 0.0787904 + 0.825130i
\(159\) −13.3604 + 3.60091i −1.05955 + 0.285571i
\(160\) 0.766299i 0.0605813i
\(161\) −6.16653 + 11.0894i −0.485991 + 0.873964i
\(162\) 11.6965 18.4370i 0.918964 1.44854i
\(163\) −4.34498 1.73947i −0.340325 0.136246i 0.195203 0.980763i \(-0.437463\pi\)
−0.535529 + 0.844517i \(0.679888\pi\)
\(164\) 11.7663 1.12355i 0.918795 0.0877343i
\(165\) −3.65347 0.431394i −0.284422 0.0335839i
\(166\) 39.7242 13.7487i 3.08319 1.06710i
\(167\) −16.2560 4.77318i −1.25792 0.369360i −0.416203 0.909272i \(-0.636639\pi\)
−0.841721 + 0.539912i \(0.818457\pi\)
\(168\) 20.9401 + 0.965454i 1.61557 + 0.0744864i
\(169\) 0.825810 + 1.80827i 0.0635239 + 0.139098i
\(170\) −0.430951 2.23599i −0.0330524 0.171492i
\(171\) −2.07720 + 6.05911i −0.158848 + 0.463352i
\(172\) −38.6081 + 15.4564i −2.94384 + 1.17854i
\(173\) −16.1084 12.6678i −1.22470 0.963117i −0.224766 0.974413i \(-0.572162\pi\)
−0.999936 + 0.0112961i \(0.996404\pi\)
\(174\) 2.35151 + 32.2146i 0.178268 + 2.44218i
\(175\) −6.18982 + 10.1564i −0.467907 + 0.767754i
\(176\) 9.04820 4.13217i 0.682033 0.311474i
\(177\) −1.86479 + 1.54430i −0.140166 + 0.116077i
\(178\) 2.11875 0.514004i 0.158807 0.0385262i
\(179\) −4.16333 + 21.6014i −0.311182 + 1.61457i 0.403406 + 0.915021i \(0.367826\pi\)
−0.714588 + 0.699546i \(0.753386\pi\)
\(180\) 7.18231 + 4.11868i 0.535338 + 0.306988i
\(181\) 14.3827 + 6.56834i 1.06905 + 0.488221i 0.870652 0.491900i \(-0.163697\pi\)
0.198403 + 0.980121i \(0.436425\pi\)
\(182\) −17.6402 11.9377i −1.30758 0.884879i
\(183\) 7.24576 5.44071i 0.535622 0.402188i
\(184\) 9.26787 19.8841i 0.683237 1.46588i
\(185\) −0.552744 0.957380i −0.0406385 0.0703880i
\(186\) 32.5293 + 8.66509i 2.38516 + 0.635355i
\(187\) 3.21902 2.29225i 0.235398 0.167626i
\(188\) −20.8424 + 6.11987i −1.52008 + 0.446337i
\(189\) −7.38093 + 11.5984i −0.536884 + 0.843656i
\(190\) −3.53004 1.03651i −0.256096 0.0751966i
\(191\) −6.36451 + 0.303179i −0.460520 + 0.0219373i −0.276560 0.960997i \(-0.589195\pi\)
−0.183959 + 0.982934i \(0.558891\pi\)
\(192\) 16.0512 0.405638i 1.15840 0.0292744i
\(193\) −8.79752 + 25.4188i −0.633260 + 1.82968i −0.0797940 + 0.996811i \(0.525426\pi\)
−0.553466 + 0.832872i \(0.686695\pi\)
\(194\) −30.0548 + 15.4943i −2.15781 + 1.11243i
\(195\) −1.96177 3.58023i −0.140485 0.256385i
\(196\) −27.1682 1.29086i −1.94058 0.0922043i
\(197\) 4.05080 6.30318i 0.288608 0.449083i −0.666429 0.745568i \(-0.732178\pi\)
0.955037 + 0.296485i \(0.0958146\pi\)
\(198\) −2.00526 + 21.6714i −0.142508 + 1.54012i
\(199\) 0.173000 + 0.123192i 0.0122636 + 0.00873288i 0.586172 0.810186i \(-0.300634\pi\)
−0.573909 + 0.818919i \(0.694574\pi\)
\(200\) 9.42301 18.2781i 0.666308 1.29246i
\(201\) −16.0032 2.66695i −1.12878 0.188112i
\(202\) −12.3180 10.6736i −0.866691 0.750992i
\(203\) −1.45211 20.2858i −0.101918 1.42378i
\(204\) −8.68764 + 1.90322i −0.608257 + 0.133252i
\(205\) −2.00589 0.803037i −0.140097 0.0560866i
\(206\) −6.55316 11.3504i −0.456580 0.790820i
\(207\) 8.28891 + 11.7598i 0.576119 + 0.817366i
\(208\) 9.55956 + 5.51921i 0.662836 + 0.382689i
\(209\) −0.908638 6.31972i −0.0628518 0.437144i
\(210\) −6.84453 3.93777i −0.472317 0.271732i
\(211\) 10.6026 3.11320i 0.729912 0.214322i 0.104399 0.994535i \(-0.466708\pi\)
0.625513 + 0.780214i \(0.284890\pi\)
\(212\) −29.3340 + 10.1526i −2.01466 + 0.697282i
\(213\) 0.564412 + 0.464628i 0.0386729 + 0.0318358i
\(214\) 6.26885 + 3.23181i 0.428529 + 0.220922i
\(215\) 7.56768 + 0.722626i 0.516112 + 0.0492827i
\(216\) 11.2995 20.9115i 0.768830 1.42285i
\(217\) −20.4742 5.48470i −1.38988 0.372325i
\(218\) 42.0788 + 6.05002i 2.84994 + 0.409759i
\(219\) 11.2147 + 0.250509i 0.757821 + 0.0169278i
\(220\) −8.24350 0.392686i −0.555776 0.0264749i
\(221\) 4.14415 + 1.43430i 0.278765 + 0.0964817i
\(222\) −5.57942 + 3.41206i −0.374466 + 0.229003i
\(223\) 10.0609 + 15.6551i 0.673731 + 1.04835i 0.994855 + 0.101309i \(0.0323030\pi\)
−0.321124 + 0.947037i \(0.604061\pi\)
\(224\) −2.85362 + 0.0681029i −0.190666 + 0.00455031i
\(225\) 7.32460 + 11.3242i 0.488307 + 0.754944i
\(226\) −8.13900 + 33.5494i −0.541398 + 2.23167i
\(227\) 1.78134 0.170097i 0.118232 0.0112897i −0.0357725 0.999360i \(-0.511389\pi\)
0.154004 + 0.988070i \(0.450783\pi\)
\(228\) −3.69865 + 13.8849i −0.244949 + 0.919552i
\(229\) −12.4675 7.19814i −0.823878 0.475666i 0.0278738 0.999611i \(-0.491126\pi\)
−0.851752 + 0.523945i \(0.824460\pi\)
\(230\) −6.53530 + 5.05785i −0.430925 + 0.333505i
\(231\) 1.28177 13.6435i 0.0843345 0.897675i
\(232\) 5.00419 + 34.8049i 0.328541 + 2.28505i
\(233\) 16.3468 11.6405i 1.07091 0.762594i 0.0983318 0.995154i \(-0.468649\pi\)
0.972582 + 0.232559i \(0.0747100\pi\)
\(234\) −20.8806 + 12.1372i −1.36501 + 0.793432i
\(235\) 3.89906 + 0.751483i 0.254347 + 0.0490213i
\(236\) −3.93101 + 3.74821i −0.255887 + 0.243988i
\(237\) −6.97337 2.58929i −0.452969 0.168193i
\(238\) 8.28829 1.80354i 0.537250 0.116906i
\(239\) 10.6103 9.19388i 0.686324 0.594703i −0.240297 0.970699i \(-0.577245\pi\)
0.926621 + 0.375996i \(0.122700\pi\)
\(240\) 3.68354 + 1.78268i 0.237771 + 0.115072i
\(241\) 8.26231 + 20.6382i 0.532222 + 1.32943i 0.914203 + 0.405256i \(0.132818\pi\)
−0.381981 + 0.924170i \(0.624758\pi\)
\(242\) 1.85537 + 4.63449i 0.119268 + 0.297916i
\(243\) 8.21065 + 13.2509i 0.526713 + 0.850043i
\(244\) 15.3620 13.3112i 0.983450 0.852165i
\(245\) 4.30613 + 2.48544i 0.275108 + 0.158789i
\(246\) −4.44944 + 11.9830i −0.283686 + 0.764010i
\(247\) 5.12780 4.88934i 0.326274 0.311102i
\(248\) 35.9846 + 6.93547i 2.28503 + 0.440403i
\(249\) −3.51926 + 29.8046i −0.223024 + 1.88879i
\(250\) −13.3282 + 9.49095i −0.842948 + 0.600260i
\(251\) 2.13103 + 14.8216i 0.134509 + 0.935534i 0.939574 + 0.342346i \(0.111222\pi\)
−0.805064 + 0.593187i \(0.797869\pi\)
\(252\) −14.6992 + 27.1122i −0.925964 + 1.70791i
\(253\) −12.6957 6.67025i −0.798170 0.419355i
\(254\) −4.12621 2.38227i −0.258901 0.149477i
\(255\) 1.57098 + 0.418475i 0.0983785 + 0.0262059i
\(256\) 30.6454 2.92628i 1.91534 0.182893i
\(257\) 1.04233 4.29653i 0.0650185 0.268010i −0.930019 0.367512i \(-0.880210\pi\)
0.995037 + 0.0995018i \(0.0317249\pi\)
\(258\) 3.14263 44.8639i 0.195651 2.79311i
\(259\) 3.51606 2.14345i 0.218477 0.133187i
\(260\) −4.95135 7.70445i −0.307069 0.477809i
\(261\) −21.4339 8.50801i −1.32673 0.526633i
\(262\) 11.8174 + 4.09005i 0.730083 + 0.252684i
\(263\) −2.93583 0.139851i −0.181031 0.00862358i −0.0431295 0.999069i \(-0.513733\pi\)
−0.137902 + 0.990446i \(0.544036\pi\)
\(264\) −0.529105 + 23.6868i −0.0325642 + 1.45782i
\(265\) 5.61656 + 0.807540i 0.345023 + 0.0496068i
\(266\) 3.54615 13.2376i 0.217428 0.811651i
\(267\) −0.328640 + 1.52147i −0.0201124 + 0.0931125i
\(268\) −36.2306 3.45960i −2.21314 0.211329i
\(269\) 17.1732 + 8.85340i 1.04707 + 0.539801i 0.893838 0.448390i \(-0.148002\pi\)
0.153230 + 0.988191i \(0.451033\pi\)
\(270\) −7.39286 + 5.05119i −0.449915 + 0.307405i
\(271\) −15.9338 + 5.51474i −0.967909 + 0.334997i −0.764878 0.644176i \(-0.777201\pi\)
−0.203031 + 0.979172i \(0.565079\pi\)
\(272\) −4.21777 + 1.23845i −0.255740 + 0.0750919i
\(273\) 13.1580 7.62362i 0.796361 0.461402i
\(274\) 3.17999 + 22.1173i 0.192110 + 1.33615i
\(275\) −11.6421 6.72160i −0.702048 0.405328i
\(276\) 20.3927 + 25.0173i 1.22749 + 1.50586i
\(277\) 10.6212 + 18.3964i 0.638164 + 1.10533i 0.985835 + 0.167715i \(0.0536390\pi\)
−0.347672 + 0.937616i \(0.613028\pi\)
\(278\) 38.1926 + 15.2900i 2.29064 + 0.917033i
\(279\) −15.6856 + 18.2098i −0.939075 + 1.09019i
\(280\) −7.73243 3.75560i −0.462101 0.224440i
\(281\) −17.8653 15.4804i −1.06576 0.923483i −0.0685100 0.997650i \(-0.521824\pi\)
−0.997246 + 0.0741678i \(0.976370\pi\)
\(282\) 3.86159 23.1717i 0.229954 1.37986i
\(283\) −0.887824 + 1.72214i −0.0527757 + 0.102370i −0.913748 0.406281i \(-0.866825\pi\)
0.860973 + 0.508651i \(0.169856\pi\)
\(284\) 1.33590 + 0.951287i 0.0792708 + 0.0564485i
\(285\) 1.76400 1.94619i 0.104491 0.115283i
\(286\) 13.0155 20.2525i 0.769623 1.19756i
\(287\) 2.81216 7.54110i 0.165997 0.445137i
\(288\) −1.33590 + 2.94807i −0.0787188 + 0.173716i
\(289\) 13.5580 6.98962i 0.797527 0.411154i
\(290\) 4.33223 12.5172i 0.254397 0.735033i
\(291\) −0.609890 24.1336i −0.0357524 1.41473i
\(292\) 25.1360 1.19738i 1.47097 0.0700712i
\(293\) 17.8864 + 5.25192i 1.04493 + 0.306820i 0.758769 0.651360i \(-0.225801\pi\)
0.286165 + 0.958180i \(0.407619\pi\)
\(294\) 14.0556 25.8383i 0.819736 1.50692i
\(295\) 0.952670 0.279729i 0.0554666 0.0162865i
\(296\) −5.79947 + 4.12979i −0.337088 + 0.240039i
\(297\) −13.3034 8.02879i −0.771940 0.465878i
\(298\) 4.18212 + 7.24364i 0.242264 + 0.419613i
\(299\) −2.14262 15.7698i −0.123911 0.911992i
\(300\) 18.1664 + 24.1935i 1.04884 + 1.39681i
\(301\) −2.01843 + 28.2455i −0.116340 + 1.62804i
\(302\) 5.29401 + 2.41769i 0.304636 + 0.139122i
\(303\) 10.6904 4.59646i 0.614148 0.264060i
\(304\) −1.34409 + 6.97380i −0.0770888 + 0.399975i
\(305\) −3.61099 + 0.876018i −0.206765 + 0.0501606i
\(306\) 2.24010 9.35345i 0.128058 0.534701i
\(307\) 8.15798 3.72563i 0.465601 0.212633i −0.168780 0.985654i \(-0.553983\pi\)
0.634380 + 0.773021i \(0.281255\pi\)
\(308\) 0.729704 30.7328i 0.0415787 1.75117i
\(309\) 9.33242 0.681222i 0.530903 0.0387533i
\(310\) −10.8512 8.53350i −0.616308 0.484670i
\(311\) 24.7306 9.90062i 1.40234 0.561413i 0.457579 0.889169i \(-0.348717\pi\)
0.944762 + 0.327756i \(0.106293\pi\)
\(312\) −21.7522 + 14.7689i −1.23148 + 0.836122i
\(313\) −0.699425 3.62896i −0.0395339 0.205121i 0.956791 0.290777i \(-0.0939137\pi\)
−0.996325 + 0.0856555i \(0.972702\pi\)
\(314\) −2.10802 4.61593i −0.118963 0.260492i
\(315\) 4.65933 3.17390i 0.262524 0.178829i
\(316\) −16.0112 4.70130i −0.900698 0.264469i
\(317\) −0.491093 + 0.169969i −0.0275825 + 0.00954640i −0.340824 0.940127i \(-0.610706\pi\)
0.313242 + 0.949673i \(0.398585\pi\)
\(318\) 3.93642 33.3376i 0.220744 1.86948i
\(319\) 22.8826 2.18502i 1.28118 0.122338i
\(320\) −6.11271 2.44716i −0.341711 0.136800i
\(321\) −4.02661 + 3.02351i −0.224744 + 0.168756i
\(322\) −19.4157 23.8873i −1.08200 1.33119i
\(323\) 2.82153i 0.156994i
\(324\) 20.4513 + 28.3662i 1.13618 + 1.57590i
\(325\) −1.41806 14.8505i −0.0786596 0.823760i
\(326\) 7.83538 8.21751i 0.433962 0.455126i
\(327\) −16.9751 + 25.1601i −0.938727 + 1.39136i
\(328\) −3.92037 + 13.3516i −0.216466 + 0.737217i
\(329\) −2.45193 + 14.5865i −0.135179 + 0.804180i
\(330\) 4.26578 7.83950i 0.234823 0.431550i
\(331\) −17.1802 + 3.31122i −0.944311 + 0.182001i −0.638092 0.769960i \(-0.720276\pi\)
−0.306219 + 0.951961i \(0.599064\pi\)
\(332\) −3.20349 + 67.2495i −0.175814 + 3.69080i
\(333\) −0.457468 4.64679i −0.0250691 0.254642i
\(334\) 25.4076 32.3085i 1.39024 1.76784i
\(335\) 5.59692 + 3.59692i 0.305792 + 0.196521i
\(336\) −6.31116 + 13.8755i −0.344302 + 0.756973i
\(337\) −12.2306 26.7812i −0.666241 1.45886i −0.876590 0.481238i \(-0.840187\pi\)
0.210349 0.977626i \(-0.432540\pi\)
\(338\) −4.81725 + 0.229474i −0.262024 + 0.0124817i
\(339\) −19.0290 15.6648i −1.03352 0.850797i
\(340\) 3.58119 + 0.690219i 0.194218 + 0.0374324i
\(341\) 5.64804 23.2816i 0.305859 1.26077i
\(342\) −11.7736 10.1416i −0.636644 0.548395i
\(343\) −8.87284 + 16.2565i −0.479088 + 0.877767i
\(344\) 48.9595i 2.63972i
\(345\) −1.21784 5.77294i −0.0655661 0.310805i
\(346\) 43.0552 24.8579i 2.31466 1.33637i
\(347\) −13.1206 16.6842i −0.704352 0.895657i 0.293834 0.955856i \(-0.405069\pi\)
−0.998186 + 0.0601995i \(0.980826\pi\)
\(348\) −49.2993 15.6797i −2.64272 0.840518i
\(349\) 9.51389 + 32.4013i 0.509267 + 1.73440i 0.665228 + 0.746640i \(0.268334\pi\)
−0.155961 + 0.987763i \(0.549847\pi\)
\(350\) −17.2936 23.0986i −0.924380 1.23467i
\(351\) −1.30575 17.1936i −0.0696958 0.917729i
\(352\) −0.153510 3.22257i −0.00818211 0.171764i
\(353\) −17.0634 + 23.9623i −0.908196 + 1.27538i 0.0527396 + 0.998608i \(0.483205\pi\)
−0.960935 + 0.276774i \(0.910735\pi\)
\(354\) −1.79673 5.59237i −0.0954949 0.297231i
\(355\) −0.137371 0.266463i −0.00729092 0.0141424i
\(356\) −0.496944 + 3.45632i −0.0263380 + 0.183185i
\(357\) −1.41874 + 5.88736i −0.0750877 + 0.311592i
\(358\) −44.8976 28.8539i −2.37291 1.52498i
\(359\) 0.983653 + 5.10368i 0.0519152 + 0.269362i 0.998606 0.0527817i \(-0.0168088\pi\)
−0.946691 + 0.322144i \(0.895597\pi\)
\(360\) −7.64411 + 6.04776i −0.402880 + 0.318745i
\(361\) −12.8360 6.61742i −0.675579 0.348285i
\(362\) −27.7617 + 26.4707i −1.45912 + 1.39127i
\(363\) −3.55538 0.249047i −0.186609 0.0130716i
\(364\) 28.2505 19.1230i 1.48073 1.00232i
\(365\) −4.18437 1.91094i −0.219020 0.100023i
\(366\) 5.72054 + 21.2248i 0.299017 + 1.10944i
\(367\) −6.46364 + 3.73178i −0.337399 + 0.194797i −0.659121 0.752037i \(-0.729072\pi\)
0.321722 + 0.946834i \(0.395738\pi\)
\(368\) 10.9188 + 11.6306i 0.569180 + 0.606288i
\(369\) −6.31701 6.58631i −0.328850 0.342869i
\(370\) 2.65463 0.381678i 0.138008 0.0198425i
\(371\) −2.50804 + 20.9873i −0.130211 + 1.08961i
\(372\) −32.2474 + 43.2094i −1.67195 + 2.24030i
\(373\) −10.9075 31.5151i −0.564768 1.63179i −0.759188 0.650871i \(-0.774404\pi\)
0.194420 0.980918i \(-0.437717\pi\)
\(374\) 2.26024 + 9.31682i 0.116874 + 0.481761i
\(375\) −1.95407 11.5171i −0.100908 0.594741i
\(376\) 2.43088 25.4573i 0.125363 1.31286i
\(377\) 16.7046 + 19.2781i 0.860331 + 0.992875i
\(378\) −19.4671 27.0813i −1.00128 1.39291i
\(379\) −1.85777 + 12.9210i −0.0954270 + 0.663709i 0.884820 + 0.465933i \(0.154281\pi\)
−0.980247 + 0.197777i \(0.936628\pi\)
\(380\) 3.64248 4.63179i 0.186855 0.237606i
\(381\) 2.81426 1.91077i 0.144179 0.0978917i
\(382\) 5.05578 14.6077i 0.258676 0.747396i
\(383\) 34.5229 + 3.29653i 1.76404 + 0.168445i 0.926089 0.377306i \(-0.123150\pi\)
0.837947 + 0.545751i \(0.183756\pi\)
\(384\) −12.2582 + 33.0132i −0.625549 + 1.68470i
\(385\) −2.69286 + 4.93231i −0.137241 + 0.251374i
\(386\) −49.3167 42.7331i −2.51015 2.17506i
\(387\) 27.8542 + 15.9729i 1.41591 + 0.811949i
\(388\) −5.14792 53.9114i −0.261346 2.73694i
\(389\) 24.3216 + 30.9274i 1.23315 + 1.56808i 0.672794 + 0.739830i \(0.265094\pi\)
0.560359 + 0.828250i \(0.310663\pi\)
\(390\) 9.83235 1.19023i 0.497881 0.0602694i
\(391\) 5.13387 + 3.71617i 0.259631 + 0.187935i
\(392\) 13.2983 29.1285i 0.671664 1.47121i
\(393\) −6.30384 + 6.32235i −0.317987 + 0.318920i
\(394\) 10.5438 + 14.8067i 0.531188 + 0.745949i
\(395\) 2.20767 + 2.10501i 0.111080 + 0.105915i
\(396\) −31.0294 15.8818i −1.55928 0.798088i
\(397\) 4.42514 + 4.64095i 0.222091 + 0.232923i 0.825348 0.564625i \(-0.190979\pi\)
−0.603257 + 0.797547i \(0.706131\pi\)
\(398\) −0.433445 + 0.278558i −0.0217266 + 0.0139629i
\(399\) 7.40420 + 6.39601i 0.370674 + 0.320201i
\(400\) 9.79265 + 11.3013i 0.489632 + 0.565066i
\(401\) 10.9060 + 21.1547i 0.544620 + 1.05641i 0.987170 + 0.159671i \(0.0510435\pi\)
−0.442550 + 0.896744i \(0.645926\pi\)
\(402\) 20.4360 33.6383i 1.01926 1.67772i
\(403\) 24.6809 9.88074i 1.22944 0.492195i
\(404\) 23.2029 11.9619i 1.15439 0.595128i
\(405\) −0.946838 6.32198i −0.0470488 0.314142i
\(406\) 46.9976 + 15.0204i 2.33245 + 0.745448i
\(407\) 2.51628 + 3.91541i 0.124727 + 0.194080i
\(408\) 1.72115 10.3279i 0.0852097 0.511306i
\(409\) 6.75242 35.0349i 0.333886 1.73236i −0.295564 0.955323i \(-0.595507\pi\)
0.629449 0.777041i \(-0.283280\pi\)
\(410\) 3.61726 3.79367i 0.178644 0.187356i
\(411\) −15.2026 4.83519i −0.749889 0.238502i
\(412\) 20.7777 2.98738i 1.02364 0.147177i
\(413\) 1.12635 + 3.52279i 0.0554240 + 0.173345i
\(414\) −33.9597 + 8.06520i −1.66903 + 0.396383i
\(415\) 6.15356 10.6583i 0.302067 0.523195i
\(416\) 2.81422 2.21312i 0.137978 0.108507i
\(417\) −21.7045 + 19.7889i −1.06287 + 0.969066i
\(418\) 15.0528 + 3.65176i 0.736255 + 0.178614i
\(419\) 8.67652 10.0132i 0.423876 0.489179i −0.503138 0.864206i \(-0.667821\pi\)
0.927014 + 0.375027i \(0.122367\pi\)
\(420\) 9.92931 7.83306i 0.484501 0.382214i
\(421\) 31.4605 20.2184i 1.53329 0.985385i 0.544053 0.839051i \(-0.316889\pi\)
0.989235 0.146334i \(-0.0467474\pi\)
\(422\) −2.54826 + 26.6866i −0.124047 + 1.29908i
\(423\) 13.6902 + 9.68837i 0.665640 + 0.471065i
\(424\) 1.73884 36.5027i 0.0844454 1.77273i
\(425\) 4.66980 + 3.67238i 0.226519 + 0.178136i
\(426\) −1.55536 + 0.852252i −0.0753573 + 0.0412917i
\(427\) −3.58312 13.3691i −0.173399 0.646977i
\(428\) −8.53695 + 7.39731i −0.412649 + 0.357563i
\(429\) 8.96718 + 14.6632i 0.432940 + 0.707945i
\(430\) −8.45099 + 16.3926i −0.407543 + 0.790523i
\(431\) −25.7022 + 6.23529i −1.23803 + 0.300343i −0.800760 0.598985i \(-0.795571\pi\)
−0.437273 + 0.899329i \(0.644056\pi\)
\(432\) 11.0633 + 13.2798i 0.532284 + 0.638925i
\(433\) −2.02755 6.90521i −0.0974380 0.331843i 0.896319 0.443410i \(-0.146231\pi\)
−0.993757 + 0.111566i \(0.964413\pi\)
\(434\) 30.8135 41.1673i 1.47910 1.97609i
\(435\) 6.69671 + 6.67710i 0.321083 + 0.320143i
\(436\) −34.0436 + 58.9652i −1.63039 + 2.82392i
\(437\) 9.13740 4.62128i 0.437101 0.221066i
\(438\) −10.6761 + 25.0323i −0.510122 + 1.19609i
\(439\) −13.6727 + 34.1527i −0.652562 + 1.63002i 0.118270 + 0.992981i \(0.462265\pi\)
−0.770832 + 0.637039i \(0.780159\pi\)
\(440\) 4.03612 8.83788i 0.192415 0.421329i
\(441\) 12.2334 + 17.0688i 0.582542 + 0.812801i
\(442\) −6.96699 + 8.04034i −0.331386 + 0.382440i
\(443\) −1.90897 2.00207i −0.0906980 0.0951213i 0.676821 0.736148i \(-0.263357\pi\)
−0.767519 + 0.641027i \(0.778509\pi\)
\(444\) −1.75215 10.3271i −0.0831535 0.490100i
\(445\) 0.370257 0.519953i 0.0175519 0.0246481i
\(446\) −44.3306 + 8.54402i −2.09911 + 0.404571i
\(447\) −5.95579 + 0.434744i −0.281699 + 0.0205627i
\(448\) 8.56972 22.9806i 0.404881 1.08573i
\(449\) −9.08750 1.30658i −0.428866 0.0616616i −0.0754976 0.997146i \(-0.524055\pi\)
−0.353368 + 0.935484i \(0.614964\pi\)
\(450\) −32.1089 + 6.28620i −1.51363 + 0.296334i
\(451\) 8.59638 + 2.97524i 0.404788 + 0.140098i
\(452\) −45.0395 32.0725i −2.11848 1.50856i
\(453\) −3.20023 + 2.65023i −0.150360 + 0.124519i
\(454\) −1.22306 + 4.16536i −0.0574010 + 0.195490i
\(455\) −6.19193 + 0.740718i −0.290282 + 0.0347254i
\(456\) −13.5571 10.1178i −0.634871 0.473808i
\(457\) −5.53190 7.76846i −0.258771 0.363393i 0.664667 0.747139i \(-0.268573\pi\)
−0.923439 + 0.383746i \(0.874634\pi\)
\(458\) 27.4534 21.5896i 1.28281 1.00881i
\(459\) 5.31425 + 4.34865i 0.248048 + 0.202978i
\(460\) −3.63026 12.7280i −0.169262 0.593447i
\(461\) −11.9694 −0.557472 −0.278736 0.960368i \(-0.589915\pi\)
−0.278736 + 0.960368i \(0.589915\pi\)
\(462\) 29.5726 + 15.1886i 1.37584 + 0.706639i
\(463\) −9.22125 + 20.1917i −0.428548 + 0.938389i 0.565012 + 0.825082i \(0.308871\pi\)
−0.993560 + 0.113306i \(0.963856\pi\)
\(464\) −24.8489 6.02828i −1.15358 0.279856i
\(465\) 8.85890 4.31945i 0.410822 0.200310i
\(466\) 11.4779 + 47.3126i 0.531704 + 2.19171i
\(467\) −0.686309 14.4074i −0.0317586 0.666695i −0.957482 0.288493i \(-0.906846\pi\)
0.925723 0.378201i \(-0.123457\pi\)
\(468\) −5.61726 38.2719i −0.259658 1.76912i
\(469\) −12.8972 + 21.1620i −0.595535 + 0.977171i
\(470\) −5.20814 + 8.10402i −0.240234 + 0.373811i
\(471\) 3.62203 + 0.0809072i 0.166894 + 0.00372801i
\(472\) −2.37658 5.93641i −0.109391 0.273246i
\(473\) −31.9697 1.52290i −1.46997 0.0700231i
\(474\) 12.1193 13.3710i 0.556657 0.614150i
\(475\) 8.73095 3.98729i 0.400603 0.182949i
\(476\) −2.25203 + 13.3973i −0.103222 + 0.614066i
\(477\) 20.1999 + 12.8982i 0.924892 + 0.590567i
\(478\) 11.1399 + 32.1866i 0.509527 + 1.47218i
\(479\) 13.2977 + 12.6793i 0.607588 + 0.579334i 0.930134 0.367220i \(-0.119690\pi\)
−0.322547 + 0.946554i \(0.604539\pi\)
\(480\) 0.980805 0.894240i 0.0447674 0.0408163i
\(481\) −1.91960 + 4.79492i −0.0875260 + 0.218629i
\(482\) −53.9319 −2.45653
\(483\) 21.3896 5.04815i 0.973262 0.229699i
\(484\) −7.99541 −0.363428
\(485\) −3.67939 + 9.19067i −0.167072 + 0.417327i
\(486\) −37.2472 + 6.54455i −1.68957 + 0.296867i
\(487\) −9.92875 9.46705i −0.449915 0.428993i 0.430939 0.902381i \(-0.358182\pi\)
−0.880854 + 0.473388i \(0.843031\pi\)
\(488\) 7.82683 + 22.6142i 0.354304 + 1.02369i
\(489\) 2.84403 + 7.59114i 0.128612 + 0.343283i
\(490\) −9.48046 + 7.45738i −0.428283 + 0.336890i
\(491\) 14.6840 6.70595i 0.662679 0.302635i −0.0555357 0.998457i \(-0.517687\pi\)
0.718215 + 0.695821i \(0.244959\pi\)
\(492\) −15.1689 13.7489i −0.683866 0.619847i
\(493\) −10.1468 0.483351i −0.456988 0.0217690i
\(494\) 6.38843 + 15.9575i 0.287429 + 0.717963i
\(495\) 3.71130 + 5.17958i 0.166811 + 0.232805i
\(496\) −14.4075 + 22.4184i −0.646914 + 1.00662i
\(497\) 0.980074 0.535238i 0.0439623 0.0240087i
\(498\) −63.9538 34.7998i −2.86584 1.55941i
\(499\) −0.223543 4.69274i −0.0100071 0.210076i −0.998333 0.0577197i \(-0.981617\pi\)
0.988326 0.152356i \(-0.0486860\pi\)
\(500\) −6.17826 25.4671i −0.276300 1.13892i
\(501\) 12.8607 + 26.3765i 0.574576 + 1.17842i
\(502\) −35.3033 8.56448i −1.57566 0.382252i
\(503\) 14.7761 32.3553i 0.658836 1.44265i −0.224767 0.974413i \(-0.572162\pi\)
0.883603 0.468237i \(-0.155111\pi\)
\(504\) −23.2006 27.9284i −1.03344 1.24403i
\(505\) −4.77195 −0.212349
\(506\) 26.4701 22.5793i 1.17674 1.00377i
\(507\) 1.35076 3.16715i 0.0599895 0.140658i
\(508\) 5.99834 4.71715i 0.266133 0.209289i
\(509\) −8.46430 11.8864i −0.375173 0.526857i 0.583218 0.812316i \(-0.301793\pi\)
−0.958391 + 0.285459i \(0.907854\pi\)
\(510\) −2.35899 + 3.16089i −0.104458 + 0.139967i
\(511\) 6.74426 15.7520i 0.298349 0.696827i
\(512\) −9.58481 + 32.6429i −0.423593 + 1.44262i
\(513\) 10.1792 4.41208i 0.449423 0.194798i
\(514\) 8.73696 + 6.22156i 0.385371 + 0.274421i
\(515\) −3.62616 1.25503i −0.159788 0.0553031i
\(516\) 64.8371 + 31.3785i 2.85429 + 1.38136i
\(517\) −16.5475 2.37918i −0.727760 0.104636i
\(518\) 1.65725 + 9.85165i 0.0728156 + 0.432857i
\(519\) 2.58406 + 35.4004i 0.113428 + 1.55391i
\(520\) 10.5870 2.04048i 0.464271 0.0894809i
\(521\) −11.9484 + 16.7792i −0.523470 + 0.735111i −0.988672 0.150094i \(-0.952042\pi\)
0.465202 + 0.885205i \(0.345982\pi\)
\(522\) 38.4881 40.6029i 1.68458 1.77714i
\(523\) 1.91267 + 2.00595i 0.0836352 + 0.0877140i 0.764222 0.644954i \(-0.223123\pi\)
−0.680586 + 0.732668i \(0.738275\pi\)
\(524\) −13.1159 + 15.1366i −0.572971 + 0.661244i
\(525\) 20.2227 3.92965i 0.882593 0.171504i
\(526\) 2.96210 6.48609i 0.129154 0.282807i
\(527\) −3.93480 + 9.82866i −0.171403 + 0.428143i
\(528\) −15.8477 6.75892i −0.689685 0.294144i
\(529\) 3.62608 22.7124i 0.157656 0.987494i
\(530\) −6.88299 + 11.9217i −0.298978 + 0.517845i
\(531\) 4.15272 + 0.584647i 0.180213 + 0.0253715i
\(532\) 17.5720 + 13.1526i 0.761844 + 0.570237i
\(533\) 2.84401 + 9.68581i 0.123188 + 0.419539i
\(534\) −3.13039 2.11202i −0.135465 0.0913961i
\(535\) 2.00670 0.486820i 0.0867572 0.0210471i
\(536\) 19.6339 38.0844i 0.848053 1.64499i
\(537\) 32.5066 19.8793i 1.40276 0.857853i
\(538\) −35.4243 + 30.6953i −1.52725 + 1.32337i
\(539\) −18.6068 9.58958i −0.801450 0.413052i
\(540\) −3.10988 13.9991i −0.133828 0.602427i
\(541\) 3.85826 + 3.03417i 0.165879 + 0.130449i 0.697648 0.716441i \(-0.254230\pi\)
−0.531769 + 0.846890i \(0.678472\pi\)
\(542\) 1.94636 40.8591i 0.0836032 1.75505i
\(543\) −8.37701 26.0737i −0.359492 1.11893i
\(544\) −0.135525 + 1.41928i −0.00581058 + 0.0608511i
\(545\) 10.4705 6.72899i 0.448507 0.288238i
\(546\) 5.30611 + 36.5089i 0.227080 + 1.56244i
\(547\) 13.1456 15.1708i 0.562065 0.648657i −0.401586 0.915821i \(-0.631541\pi\)
0.963651 + 0.267164i \(0.0860865\pi\)
\(548\) −34.7789 8.43727i −1.48568 0.360422i
\(549\) −15.4192 2.92494i −0.658076 0.124833i
\(550\) 25.6359 20.1603i 1.09312 0.859636i
\(551\) −8.20615 + 14.2135i −0.349594 + 0.605514i
\(552\) −36.2654 + 11.3418i −1.54356 + 0.482738i
\(553\) −7.64266 + 8.40823i −0.324999 + 0.357554i
\(554\) −51.0096 + 7.33408i −2.16719 + 0.311595i
\(555\) −0.580344 + 1.82469i −0.0246342 + 0.0774539i
\(556\) −45.4691 + 47.6866i −1.92832 + 2.02236i
\(557\) 5.03300 26.1137i 0.213255 1.10647i −0.704614 0.709591i \(-0.748880\pi\)
0.917869 0.396883i \(-0.129908\pi\)
\(558\) −26.8697 51.7468i −1.13748 2.19062i
\(559\) −19.2021 29.8791i −0.812164 1.26375i
\(560\) 4.62517 4.20508i 0.195449 0.177697i
\(561\) −6.69038 1.44513i −0.282468 0.0610135i
\(562\) 50.9739 26.2789i 2.15020 1.10851i
\(563\) −17.7362 + 7.10051i −0.747492 + 0.299251i −0.713960 0.700187i \(-0.753100\pi\)
−0.0335328 + 0.999438i \(0.510676\pi\)
\(564\) 32.1552 + 19.5350i 1.35398 + 0.822571i
\(565\) 4.63145 + 8.98376i 0.194847 + 0.377950i
\(566\) −3.07814 3.55237i −0.129384 0.149317i
\(567\) 23.4583 4.08778i 0.985154 0.171671i
\(568\) −1.62423 + 1.04383i −0.0681510 + 0.0437980i
\(569\) −14.2002 14.8928i −0.595305 0.624338i 0.355296 0.934754i \(-0.384380\pi\)
−0.950601 + 0.310416i \(0.899532\pi\)
\(570\) 2.79276 + 5.72775i 0.116976 + 0.239909i
\(571\) −2.46606 2.35139i −0.103202 0.0984025i 0.636722 0.771093i \(-0.280290\pi\)
−0.739924 + 0.672691i \(0.765138\pi\)
\(572\) 22.3656 + 31.4082i 0.935155 + 1.31324i
\(573\) 7.81517 + 7.79229i 0.326483 + 0.325527i
\(574\) 14.4487 + 13.1331i 0.603078 + 0.548167i
\(575\) 4.24432 21.1378i 0.177000 0.881507i
\(576\) −19.2503 20.0710i −0.802096 0.836291i
\(577\) −23.6407 30.0616i −0.984176 1.25148i −0.967827 0.251616i \(-0.919038\pi\)
−0.0163493 0.999866i \(-0.505204\pi\)
\(578\) 3.51760 + 36.8380i 0.146313 + 1.53226i
\(579\) 42.8005 18.4025i 1.77873 0.764783i
\(580\) 16.0328 + 13.8925i 0.665727 + 0.576856i
\(581\) 40.2373 + 21.9680i 1.66932 + 0.911387i
\(582\) 54.9044 + 20.3866i 2.27586 + 0.845053i
\(583\) −23.7815 2.27086i −0.984929 0.0940493i
\(584\) −9.68959 + 27.9962i −0.400958 + 1.15849i
\(585\) −2.29311 + 6.68890i −0.0948084 + 0.276552i
\(586\) −27.9560 + 35.5489i −1.15485 + 1.46851i
\(587\) −5.44313 + 37.8578i −0.224662 + 1.56256i 0.495410 + 0.868659i \(0.335018\pi\)
−0.720072 + 0.693899i \(0.755891\pi\)
\(588\) 30.0520 + 36.2796i 1.23932 + 1.49614i
\(589\) 11.2014 + 12.9271i 0.461545 + 0.532652i
\(590\) −0.228967 + 2.39786i −0.00942644 + 0.0987181i
\(591\) −12.7947 + 2.17083i −0.526304 + 0.0892960i
\(592\) −1.22058 5.03131i −0.0501656 0.206785i
\(593\) 10.4377 + 30.1577i 0.428624 + 1.23843i 0.928175 + 0.372143i \(0.121377\pi\)
−0.499551 + 0.866284i \(0.666502\pi\)
\(594\) 30.0778 22.7231i 1.23411 0.932340i
\(595\) 1.48812 1.98815i 0.0610069 0.0815060i
\(596\) −13.2600 + 1.90649i −0.543149 + 0.0780930i
\(597\) −0.0442066 0.365187i −0.00180926 0.0149461i
\(598\) 37.4492 + 9.39331i 1.53141 + 0.384121i
\(599\) −19.5328 + 11.2772i −0.798087 + 0.460776i −0.842802 0.538224i \(-0.819095\pi\)
0.0447149 + 0.999000i \(0.485762\pi\)
\(600\) −34.3908 + 9.26906i −1.40400 + 0.378408i
\(601\) −39.0243 17.8218i −1.59183 0.726966i −0.594796 0.803877i \(-0.702767\pi\)
−0.997038 + 0.0769109i \(0.975494\pi\)
\(602\) −61.7955 30.0138i −2.51860 1.22327i
\(603\) 15.2616 + 23.5951i 0.621500 + 0.960866i
\(604\) −6.74616 + 6.43245i −0.274497 + 0.261733i
\(605\) 1.29908 + 0.669725i 0.0528153 + 0.0272282i
\(606\) 0.713205 + 28.2218i 0.0289720 + 1.14643i
\(607\) 2.13891 + 11.0977i 0.0868156 + 0.450442i 0.999159 + 0.0410153i \(0.0130592\pi\)
−0.912343 + 0.409427i \(0.865729\pi\)
\(608\) 1.93783 + 1.24537i 0.0785892 + 0.0505062i
\(609\) −24.2697 + 25.5313i −0.983458 + 1.03458i
\(610\) 1.28289 8.92267i 0.0519426 0.361268i
\(611\) −8.50096 16.4896i −0.343912 0.667096i
\(612\) 12.5741 + 8.89853i 0.508278 + 0.359702i
\(613\) −27.2528 + 38.2712i −1.10073 + 1.54576i −0.293089 + 0.956085i \(0.594683\pi\)
−0.807641 + 0.589674i \(0.799256\pi\)
\(614\) 1.03527 + 21.7329i 0.0417800 + 0.877070i
\(615\) 1.31297 + 3.50450i 0.0529439 + 0.141315i
\(616\) 33.2701 + 14.2447i 1.34049 + 0.573934i
\(617\) 1.01130 + 3.44418i 0.0407135 + 0.138657i 0.977342 0.211668i \(-0.0678894\pi\)
−0.936628 + 0.350325i \(0.886071\pi\)
\(618\) −6.88038 + 21.6330i −0.276770 + 0.870208i
\(619\) 20.0166 + 25.4532i 0.804536 + 1.02305i 0.999111 + 0.0421626i \(0.0134248\pi\)
−0.194575 + 0.980888i \(0.562333\pi\)
\(620\) 19.1477 11.0549i 0.768990 0.443977i
\(621\) 5.37888 24.3324i 0.215847 0.976427i
\(622\) 64.6260i 2.59127i
\(623\) 1.96916 + 1.33259i 0.0788926 + 0.0533891i
\(624\) −4.09145 18.6762i −0.163789 0.747647i
\(625\) 4.16990 17.1885i 0.166796 0.687542i
\(626\) 8.80392 + 1.69682i 0.351875 + 0.0678184i
\(627\) −7.02841 + 8.53784i −0.280688 + 0.340969i
\(628\) 8.11820 0.386718i 0.323952 0.0154317i
\(629\) −0.854430 1.87094i −0.0340684 0.0745993i
\(630\) 2.94725 + 13.3557i 0.117421 + 0.532103i
\(631\) −18.9390 12.1714i −0.753950 0.484534i 0.106346 0.994329i \(-0.466085\pi\)
−0.860296 + 0.509795i \(0.829721\pi\)
\(632\) 12.1439 15.4423i 0.483060 0.614261i
\(633\) −16.3575 9.93753i −0.650150 0.394981i
\(634\) 0.0599883 1.25931i 0.00238244 0.0500136i
\(635\) −1.36973 + 0.263993i −0.0543560 + 0.0104763i
\(636\) 47.2261 + 25.6976i 1.87264 + 1.01898i
\(637\) −3.30865 22.9923i −0.131094 0.910987i
\(638\) −15.7111 + 53.5071i −0.622009 + 2.11837i
\(639\) −0.0639577 1.26461i −0.00253013 0.0500270i
\(640\) 9.96554 10.4516i 0.393922 0.413134i
\(641\) −2.47122 25.8798i −0.0976074 1.02219i −0.903055 0.429524i \(-0.858681\pi\)
0.805448 0.592667i \(-0.201925\pi\)
\(642\) −3.17901 11.7950i −0.125466 0.465513i
\(643\) 38.9786i 1.53717i −0.639750 0.768583i \(-0.720962\pi\)
0.639750 0.768583i \(-0.279038\pi\)
\(644\) 47.0752 14.6499i 1.85502 0.577287i
\(645\) −7.90627 10.5293i −0.311309 0.414592i
\(646\) −6.35475 2.54406i −0.250024 0.100095i
\(647\) 4.40542 0.420666i 0.173195 0.0165381i −0.00809831 0.999967i \(-0.502578\pi\)
0.181293 + 0.983429i \(0.441972\pi\)
\(648\) −39.9512 + 9.94050i −1.56943 + 0.390500i
\(649\) −3.95029 + 1.36721i −0.155062 + 0.0536676i
\(650\) 34.7255 + 10.1963i 1.36205 + 0.399933i
\(651\) 16.8725 + 32.6058i 0.661286 + 1.27792i
\(652\) 7.55444 + 16.5419i 0.295855 + 0.647832i
\(653\) 0.722184 + 3.74705i 0.0282612 + 0.146633i 0.993318 0.115406i \(-0.0368170\pi\)
−0.965057 + 0.262040i \(0.915605\pi\)
\(654\) −41.3607 60.9178i −1.61733 2.38208i
\(655\) 3.39895 1.36073i 0.132808 0.0531683i
\(656\) −7.95397 6.25507i −0.310550 0.244219i
\(657\) −12.7665 14.6463i −0.498069 0.571408i
\(658\) −30.6414 18.6744i −1.19453 0.728002i
\(659\) 26.5285 12.1151i 1.03340 0.471939i 0.174812 0.984602i \(-0.444068\pi\)
0.858590 + 0.512663i \(0.171341\pi\)
\(660\) 9.11722 + 11.0093i 0.354887 + 0.428536i
\(661\) −30.9027 + 7.49691i −1.20197 + 0.291596i −0.786258 0.617898i \(-0.787984\pi\)
−0.415717 + 0.909494i \(0.636469\pi\)
\(662\) 8.03307 41.6795i 0.312214 1.61992i
\(663\) −3.00025 6.97797i −0.116520 0.271002i
\(664\) −72.0984 32.9263i −2.79796 1.27779i
\(665\) −1.75337 3.60891i −0.0679929 0.139948i
\(666\) 10.8781 + 3.15949i 0.421519 + 0.122428i
\(667\) 15.0537 + 33.6516i 0.582883 + 1.30299i
\(668\) 32.9149 + 57.0103i 1.27352 + 2.20580i
\(669\) 8.29667 31.1462i 0.320768 1.20418i
\(670\) −13.1476 + 9.36238i −0.507937 + 0.361700i
\(671\) 15.0101 4.40736i 0.579457 0.170144i
\(672\) 3.41723 + 3.57294i 0.131822 + 0.137829i
\(673\) −0.853372 0.250573i −0.0328951 0.00965887i 0.265244 0.964181i \(-0.414548\pi\)
−0.298139 + 0.954523i \(0.596366\pi\)
\(674\) 71.3453 3.39859i 2.74812 0.130909i
\(675\) 5.94654 22.5898i 0.228882 0.869480i
\(676\) 2.52632 7.29932i 0.0971661 0.280743i
\(677\) 11.1815 5.76448i 0.429741 0.221547i −0.229765 0.973246i \(-0.573796\pi\)
0.659506 + 0.751699i \(0.270766\pi\)
\(678\) 52.4386 28.7335i 2.01389 1.10350i
\(679\) −34.5521 12.8849i −1.32599 0.494476i
\(680\) −2.32132 + 3.61205i −0.0890186 + 0.138516i
\(681\) −2.29646 2.08148i −0.0880005 0.0797625i
\(682\) 47.3429 + 33.7127i 1.81285 + 1.29093i
\(683\) −5.40950 + 10.4930i −0.206989 + 0.401502i −0.969362 0.245635i \(-0.921004\pi\)
0.762374 + 0.647137i \(0.224034\pi\)
\(684\) 22.0878 11.4692i 0.844549 0.438535i
\(685\) 4.94410 + 4.28409i 0.188904 + 0.163686i
\(686\) −28.6131 34.6415i −1.09245 1.32262i
\(687\) 5.33605 + 24.3574i 0.203583 + 0.929294i
\(688\) 33.0521 + 13.2321i 1.26010 + 0.504467i
\(689\) −13.2553 22.9589i −0.504988 0.874666i
\(690\) 14.1001 + 2.46237i 0.536781 + 0.0937410i
\(691\) −23.3195 13.4635i −0.887115 0.512176i −0.0141175 0.999900i \(-0.504494\pi\)
−0.872998 + 0.487724i \(0.837827\pi\)
\(692\) 11.3319 + 78.8154i 0.430776 + 2.99611i
\(693\) −18.9584 + 14.2808i −0.720170 + 0.542484i
\(694\) 49.4071 14.5072i 1.87547 0.550688i
\(695\) 11.3822 3.93941i 0.431750 0.149430i
\(696\) 38.7079 47.0209i 1.46722 1.78232i
\(697\) −3.57313 1.84208i −0.135342 0.0697737i
\(698\) −81.5537 7.78743i −3.08685 0.294759i
\(699\) −33.9750 7.33866i −1.28505 0.277573i
\(700\) 44.6392 11.9640i 1.68720 0.452195i
\(701\) 40.6763 + 5.84837i 1.53632 + 0.220890i 0.857914 0.513794i \(-0.171760\pi\)
0.678410 + 0.734684i \(0.262669\pi\)
\(702\) 39.9014 + 12.5619i 1.50598 + 0.474120i
\(703\) −3.31933 0.158119i −0.125191 0.00596359i
\(704\) 26.1964 + 9.06667i 0.987315 + 0.341713i
\(705\) −3.58821 5.86745i −0.135140 0.220981i
\(706\) −38.5832 60.0366i −1.45210 2.25951i
\(707\) −0.424095 17.7703i −0.0159497 0.668320i
\(708\) 9.38476 + 0.657383i 0.352701 + 0.0247060i
\(709\) −0.179826 + 0.741253i −0.00675351 + 0.0278384i −0.975089 0.221816i \(-0.928802\pi\)
0.968335 + 0.249654i \(0.0803169\pi\)
\(710\) 0.724000 0.0691336i 0.0271712 0.00259454i
\(711\) 4.82354 + 11.9470i 0.180897 + 0.448047i
\(712\) −3.56014 2.05545i −0.133422 0.0770311i
\(713\) 38.2743 3.35532i 1.43338 0.125658i
\(714\) −11.9805 8.50372i −0.448358 0.318244i
\(715\) −1.00308 6.97659i −0.0375131 0.260910i
\(716\) 69.6284 49.5822i 2.60214 1.85297i
\(717\) −24.1493 2.85149i −0.901871 0.106491i
\(718\) −12.3816 2.38636i −0.462077 0.0890581i
\(719\) −0.442680 + 0.422095i −0.0165092 + 0.0157415i −0.698289 0.715816i \(-0.746055\pi\)
0.681780 + 0.731558i \(0.261206\pi\)
\(720\) −2.01684 6.79496i −0.0751633 0.253233i
\(721\) 4.35133 13.6150i 0.162052 0.507049i
\(722\) 26.4777 22.9430i 0.985397 0.853851i
\(723\) 16.7736 34.6591i 0.623817 1.28899i
\(724\) −22.8336 57.0356i −0.848604 2.11971i
\(725\) 12.8434 + 32.0813i 0.476992 + 1.19147i
\(726\) 3.76665 7.78300i 0.139794 0.288854i
\(727\) 18.0565 15.6461i 0.669680 0.580281i −0.252239 0.967665i \(-0.581167\pi\)
0.921918 + 0.387384i \(0.126621\pi\)
\(728\) 8.53943 + 39.2436i 0.316492 + 1.45446i
\(729\) 7.37859 25.9722i 0.273281 0.961934i
\(730\) 8.07675 7.70116i 0.298934 0.285033i
\(731\) 13.8885 + 2.67678i 0.513684 + 0.0990044i
\(732\) −34.9642 4.12849i −1.29231 0.152594i
\(733\) −15.7114 + 11.1880i −0.580314 + 0.413240i −0.832167 0.554526i \(-0.812900\pi\)
0.251852 + 0.967766i \(0.418960\pi\)
\(734\) −2.57685 17.9224i −0.0951134 0.661528i
\(735\) −1.84390 8.41193i −0.0680132 0.310279i
\(736\) 4.81824 1.88569i 0.177603 0.0695076i
\(737\) −24.2577 14.0052i −0.893543 0.515887i
\(738\) 20.5297 8.28878i 0.755708 0.305114i
\(739\) −26.6231 + 2.54220i −0.979348 + 0.0935164i −0.572435 0.819950i \(-0.694001\pi\)
−0.406913 + 0.913467i \(0.633395\pi\)
\(740\) −1.01268 + 4.17434i −0.0372270 + 0.153452i
\(741\) −12.2419 0.857521i −0.449718 0.0315018i
\(742\) −45.0069 24.5721i −1.65225 0.902069i
\(743\) −10.9546 17.0457i −0.401886 0.625347i 0.580045 0.814584i \(-0.303035\pi\)
−0.981931 + 0.189237i \(0.939398\pi\)
\(744\) −33.1157 54.1510i −1.21408 1.98527i
\(745\) 2.31416 + 0.800937i 0.0847841 + 0.0293441i
\(746\) 80.8142 + 3.84965i 2.95882 + 0.140946i
\(747\) 42.2544 30.2764i 1.54601 1.10775i
\(748\) −15.1985 2.18522i −0.555713 0.0798994i
\(749\) 1.99121 + 7.42948i 0.0727572 + 0.271467i
\(750\) 27.7011 + 5.98349i 1.01150 + 0.218486i
\(751\) 5.73447 + 0.547576i 0.209254 + 0.0199813i 0.199157 0.979968i \(-0.436180\pi\)
0.0100974 + 0.999949i \(0.496786\pi\)
\(752\) 16.5290 + 8.52129i 0.602751 + 0.310740i
\(753\) 16.4837 20.0238i 0.600701 0.729708i
\(754\) −58.4808 + 20.2404i −2.12974 + 0.737111i
\(755\) 1.63491 0.480054i 0.0595006 0.0174709i
\(756\) 51.8550 12.8250i 1.88595 0.466441i
\(757\) 0.504598 + 3.50956i 0.0183399 + 0.127557i 0.996935 0.0782406i \(-0.0249302\pi\)
−0.978595 + 0.205798i \(0.934021\pi\)
\(758\) −27.4261 15.8345i −0.996163 0.575135i
\(759\) 6.27792 + 24.0334i 0.227874 + 0.872357i
\(760\) 3.46853 + 6.00767i 0.125817 + 0.217921i
\(761\) −44.7770 17.9260i −1.62317 0.649817i −0.631119 0.775686i \(-0.717404\pi\)
−0.992047 + 0.125869i \(0.959828\pi\)
\(762\) 1.76600 + 8.06124i 0.0639753 + 0.292028i
\(763\) 25.9886 + 38.3931i 0.940851 + 1.38992i
\(764\) 18.7106 + 16.2128i 0.676925 + 0.586559i
\(765\) −1.29765 2.49908i −0.0469167 0.0903543i
\(766\) −38.5524 + 74.7812i −1.39295 + 2.70196i
\(767\) −3.77867 2.69078i −0.136440 0.0971585i
\(768\) −39.5074 35.8089i −1.42560 1.29214i
\(769\) 9.49971 14.7818i 0.342568 0.533047i −0.626634 0.779314i \(-0.715568\pi\)
0.969202 + 0.246267i \(0.0792041\pi\)
\(770\) −8.68069 10.5122i −0.312830 0.378834i
\(771\) −6.71558 + 3.67977i −0.241856 + 0.132524i
\(772\) 92.8958 47.8911i 3.34339 1.72364i
\(773\) 2.73343 7.89773i 0.0983147 0.284062i −0.885109 0.465384i \(-0.845916\pi\)
0.983424 + 0.181322i \(0.0580376\pi\)
\(774\) −61.0897 + 48.3321i −2.19583 + 1.73726i
\(775\) 35.9743 1.71367i 1.29224 0.0615568i
\(776\) 61.1747 + 17.9625i 2.19605 + 0.644817i
\(777\) −6.84655 1.99898i −0.245619 0.0717129i
\(778\) −91.5855 + 26.8919i −3.28350 + 0.964122i
\(779\) −5.29064 + 3.76745i −0.189557 + 0.134983i
\(780\) −4.08308 + 15.3281i −0.146198 + 0.548835i
\(781\) 0.631077 + 1.09306i 0.0225817 + 0.0391127i
\(782\) −12.9987 + 8.21195i −0.464832 + 0.293659i
\(783\) 14.1229 + 37.3623i 0.504712 + 1.33522i
\(784\) 16.0703 + 16.8500i 0.573940 + 0.601784i
\(785\) −1.35143 0.617177i −0.0482346 0.0220280i
\(786\) −8.55551 19.8983i −0.305165 0.709750i
\(787\) −7.70656 + 39.9855i −0.274709 + 1.42533i 0.538141 + 0.842855i \(0.319127\pi\)
−0.812850 + 0.582473i \(0.802085\pi\)
\(788\) −28.2922 + 6.86361i −1.00787 + 0.244506i
\(789\) 3.24700 + 3.92084i 0.115596 + 0.139586i
\(790\) −6.73155 + 3.07420i −0.239498 + 0.109375i
\(791\) −33.0430 + 18.0455i −1.17487 + 0.641623i
\(792\) 30.9348 26.9644i 1.09922 0.958137i
\(793\) 13.6460 + 10.7313i 0.484582 + 0.381079i
\(794\) −14.4425 + 5.78189i −0.512544 + 0.205192i
\(795\) −5.52071 8.13114i −0.195800 0.288382i
\(796\) −0.156172 0.810300i −0.00553539 0.0287203i
\(797\) −13.3237 29.1749i −0.471951 1.03343i −0.984599 0.174829i \(-0.944063\pi\)
0.512648 0.858599i \(-0.328665\pi\)
\(798\) −21.0814 + 10.9090i −0.746273 + 0.386174i
\(799\) 7.08864 + 2.08141i 0.250778 + 0.0736351i
\(800\) 4.58334 1.58631i 0.162045 0.0560845i
\(801\) 2.33088 1.35486i 0.0823574 0.0478716i
\(802\) −57.4788 + 5.48856i −2.02965 + 0.193808i
\(803\) 17.9796 + 7.19796i 0.634487 + 0.254010i
\(804\) 37.8516 + 50.4096i 1.33492 + 1.77781i
\(805\) −8.87585 1.56289i −0.312833 0.0550847i
\(806\) 64.4962i 2.27178i
\(807\) −8.70875 32.3119i −0.306563 1.13743i
\(808\) 2.92132 + 30.5935i 0.102772 + 1.07627i
\(809\) 5.03998 5.28578i 0.177196 0.185838i −0.629146 0.777287i \(-0.716595\pi\)
0.806343 + 0.591449i \(0.201444\pi\)
\(810\) 15.0923 + 3.56777i 0.530289 + 0.125359i
\(811\) −11.6019 + 39.5123i −0.407397 + 1.38747i 0.459145 + 0.888361i \(0.348156\pi\)
−0.866542 + 0.499105i \(0.833662\pi\)
\(812\) −50.3095 + 60.9393i −1.76552 + 2.13855i
\(813\) 25.6525 + 13.9586i 0.899674 + 0.489548i
\(814\) −11.0872 + 2.13689i −0.388608 + 0.0748980i
\(815\) 0.158175 3.32050i 0.00554062 0.116312i
\(816\) 6.50708 + 3.95320i 0.227793 + 0.138390i
\(817\) 14.1261 17.9628i 0.494211 0.628440i
\(818\) 72.8184 + 46.7976i 2.54604 + 1.63624i
\(819\) −25.1126 7.94484i −0.877504 0.277615i
\(820\) 3.48756 + 7.63669i 0.121791 + 0.266685i
\(821\) 1.86176 0.0886864i 0.0649758 0.00309518i −0.0150689 0.999886i \(-0.504797\pi\)
0.0800446 + 0.996791i \(0.474494\pi\)
\(822\) 24.5975 29.8801i 0.857937 1.04219i
\(823\) −12.3924 2.38845i −0.431973 0.0832560i −0.0313703 0.999508i \(-0.509987\pi\)
−0.400603 + 0.916252i \(0.631199\pi\)
\(824\) −5.82621 + 24.0160i −0.202966 + 0.836636i
\(825\) 4.98279 + 22.7449i 0.173478 + 0.791876i
\(826\) −8.94972 0.639548i −0.311401 0.0222527i
\(827\) 2.33813i 0.0813049i −0.999173 0.0406524i \(-0.987056\pi\)
0.999173 0.0406524i \(-0.0129436\pi\)
\(828\) 8.22282 55.2952i 0.285763 1.92164i
\(829\) 30.4452 17.5775i 1.05740 0.610493i 0.132691 0.991157i \(-0.457638\pi\)
0.924713 + 0.380665i \(0.124305\pi\)
\(830\) 18.4565 + 23.4694i 0.640636 + 0.814635i
\(831\) 11.1515 35.0621i 0.386842 1.21629i
\(832\) 8.66678 + 29.5163i 0.300467 + 1.02330i
\(833\) 7.53591 + 5.36491i 0.261104 + 0.185883i
\(834\) −24.9992 66.7264i −0.865650 2.31055i
\(835\) −0.572585 12.0200i −0.0198151 0.415971i
\(836\) −14.3901 + 20.2081i −0.497692 + 0.698910i
\(837\) 41.6117 1.17369i 1.43831 0.0405688i
\(838\) 14.7289 + 28.5701i 0.508801 + 0.986937i
\(839\) −3.27815 + 22.8000i −0.113174 + 0.787144i 0.851624 + 0.524153i \(0.175618\pi\)
−0.964798 + 0.262991i \(0.915291\pi\)
\(840\) 4.21655 + 14.2796i 0.145485 + 0.492691i
\(841\) −25.3123 16.2672i −0.872839 0.560939i
\(842\) 17.1700 + 89.0864i 0.591717 + 3.07012i
\(843\) 1.03439 + 40.9312i 0.0356264 + 1.40975i
\(844\) −38.1631 19.6744i −1.31363 0.677222i
\(845\) −1.02189 + 0.974371i −0.0351541 + 0.0335194i
\(846\) −34.1644 + 22.0979i −1.17459 + 0.759742i
\(847\) −2.37853 + 4.89718i −0.0817274 + 0.168269i
\(848\) 24.1727 + 11.0393i 0.830093 + 0.379091i
\(849\) 3.24026 0.873319i 0.111205 0.0299722i
\(850\) −12.4816 + 7.20627i −0.428116 + 0.247173i
\(851\) −4.65952 + 5.83138i −0.159726 + 0.199897i
\(852\) −0.341362 2.81996i −0.0116949 0.0966102i
\(853\) 39.8603 5.73105i 1.36479 0.196227i 0.579307 0.815110i \(-0.303323\pi\)
0.785484 + 0.618882i \(0.212414\pi\)
\(854\) 33.3411 + 3.98436i 1.14091 + 0.136342i
\(855\) −4.54950 + 0.0133405i −0.155590 + 0.000456234i
\(856\) −4.34952 12.5671i −0.148664 0.429535i
\(857\) 11.4499 + 47.1973i 0.391123 + 1.61223i 0.738329 + 0.674441i \(0.235615\pi\)
−0.347206 + 0.937789i \(0.612870\pi\)
\(858\) −41.1102 + 6.97502i −1.40348 + 0.238123i
\(859\) −2.68110 + 28.0778i −0.0914780 + 0.958001i 0.826914 + 0.562329i \(0.190095\pi\)
−0.918392 + 0.395673i \(0.870512\pi\)
\(860\) −19.3435 22.3236i −0.659608 0.761228i
\(861\) −12.9337 + 5.20081i −0.440780 + 0.177243i
\(862\) 9.13129 63.5095i 0.311013 2.16314i
\(863\) −3.61753 + 4.60007i −0.123142 + 0.156588i −0.843715 0.536791i \(-0.819636\pi\)
0.720573 + 0.693379i \(0.243879\pi\)
\(864\) 5.33224 1.73042i 0.181407 0.0588701i
\(865\) 4.76066 13.7550i 0.161867 0.467685i
\(866\) 17.3803 + 1.65962i 0.590607 + 0.0563962i
\(867\) −24.7678 9.19656i −0.841158 0.312332i
\(868\) 42.8691 + 70.3216i 1.45507 + 2.38687i
\(869\) −9.70578 8.41010i −0.329246 0.285293i
\(870\) −21.0765 + 9.06210i −0.714562 + 0.307234i
\(871\) −2.95467 30.9427i −0.100115 1.04845i
\(872\) −49.5501 63.0081i −1.67798 2.13372i
\(873\) −30.1774 + 28.9435i −1.02135 + 0.979589i
\(874\) 2.16939 + 24.7464i 0.0733808 + 0.837059i
\(875\) −17.4365 3.79197i −0.589463 0.128192i
\(876\) −30.8653 30.7749i −1.04284 1.03979i
\(877\) 14.6893 + 20.6282i 0.496021 + 0.696564i 0.984376 0.176081i \(-0.0563422\pi\)
−0.488355 + 0.872645i \(0.662403\pi\)
\(878\) −64.5918 61.5882i −2.17987 2.07850i
\(879\) −14.1506 29.0220i −0.477290 0.978888i
\(880\) 4.87554 + 5.11332i 0.164354 + 0.172370i
\(881\) −41.9020 + 26.9287i −1.41171 + 0.907253i −0.999992 0.00405742i \(-0.998708\pi\)
−0.411721 + 0.911310i \(0.635072\pi\)
\(882\) −49.4733 + 12.1622i −1.66585 + 0.409523i
\(883\) 4.35290 + 5.02351i 0.146487 + 0.169055i 0.824251 0.566225i \(-0.191597\pi\)
−0.677764 + 0.735279i \(0.737051\pi\)
\(884\) −7.80792 15.1453i −0.262609 0.509390i
\(885\) −1.46976 0.892912i −0.0494054 0.0300149i
\(886\) 6.23037 2.49427i 0.209314 0.0837965i
\(887\) −10.1708 + 5.24340i −0.341502 + 0.176056i −0.620442 0.784252i \(-0.713047\pi\)
0.278941 + 0.960308i \(0.410017\pi\)
\(888\) 12.0536 + 2.60359i 0.404491 + 0.0873708i
\(889\) −1.10482 5.07727i −0.0370543 0.170286i
\(890\) 0.837211 + 1.30273i 0.0280634 + 0.0436674i
\(891\) 5.24826 + 26.3966i 0.175823 + 0.884319i
\(892\) 13.6843 71.0006i 0.458183 2.37728i
\(893\) 8.23699 8.63871i 0.275640 0.289083i
\(894\) 4.39095 13.8058i 0.146855 0.461736i
\(895\) −15.4663 + 2.22372i −0.516982 + 0.0743308i
\(896\) 39.8062 + 36.1818i 1.32983 + 1.20875i
\(897\) −17.6838 + 21.1451i −0.590445 + 0.706015i
\(898\) 11.1366 19.2891i 0.371632 0.643685i
\(899\) −48.4073 + 38.0679i −1.61447 + 1.26964i
\(900\) 9.76632 51.4844i 0.325544 1.71615i
\(901\) 10.2597 + 2.48899i 0.341802 + 0.0829202i
\(902\) −14.4519 + 16.6784i −0.481196 + 0.555330i
\(903\) 38.5075 30.3779i 1.28145 1.01091i
\(904\) 54.7605 35.1924i 1.82131 1.17048i
\(905\) −1.06753 + 11.1797i −0.0354860 + 0.371626i
\(906\) −3.08343 9.59727i −0.102440 0.318848i
\(907\) −0.381404 + 8.00666i −0.0126643 + 0.265857i 0.983651 + 0.180087i \(0.0576380\pi\)
−0.996315 + 0.0857697i \(0.972665\pi\)
\(908\) −5.46539 4.29803i −0.181375 0.142635i
\(909\) −18.3584 8.31903i −0.608910 0.275925i
\(910\) 3.91473 14.6135i 0.129772 0.484434i
\(911\) 7.13641 6.18374i 0.236440 0.204876i −0.528579 0.848884i \(-0.677275\pi\)
0.765019 + 0.644008i \(0.222730\pi\)
\(912\) 10.4944 6.41781i 0.347505 0.212515i
\(913\) −23.7429 + 46.0547i −0.785774 + 1.52419i
\(914\) 22.4843 5.45463i 0.743714 0.180423i
\(915\) 5.33512 + 3.59952i 0.176374 + 0.118996i
\(916\) 15.7594 + 53.6715i 0.520705 + 1.77336i
\(917\) 5.36931 + 12.5364i 0.177310 + 0.413989i
\(918\) −14.5858 + 8.04794i −0.481404 + 0.265622i
\(919\) −3.11219 + 5.39048i −0.102662 + 0.177815i −0.912781 0.408450i \(-0.866069\pi\)
0.810119 + 0.586266i \(0.199403\pi\)
\(920\) 15.4995 + 1.60146i 0.511002 + 0.0527985i
\(921\) −14.2886 6.09394i −0.470824 0.200802i
\(922\) 10.7923 26.9580i 0.355427 0.887813i
\(923\) −0.581843 + 1.27406i −0.0191516 + 0.0419361i
\(924\) −40.1872 + 34.9300i −1.32206 + 1.14911i
\(925\) −4.58199 + 5.28789i −0.150655 + 0.173865i
\(926\) −37.1621 38.9744i −1.22122 1.28078i
\(927\) −11.7625 11.1498i −0.386330 0.366208i
\(928\) −4.81054 + 6.75546i −0.157914 + 0.221759i
\(929\) −2.63865 + 0.508558i −0.0865713 + 0.0166853i −0.232353 0.972632i \(-0.574642\pi\)
0.145782 + 0.989317i \(0.453430\pi\)
\(930\) 1.74072 + 23.8470i 0.0570804 + 0.781974i
\(931\) 13.2834 6.85012i 0.435346 0.224503i
\(932\) −77.1809 11.0969i −2.52815 0.363492i
\(933\) −41.5316 20.0996i −1.35968 0.658031i
\(934\) 33.0676 + 11.4448i 1.08201 + 0.374486i
\(935\) 2.28639 + 1.62813i 0.0747731 + 0.0532457i
\(936\) 44.2870 + 10.6065i 1.44756 + 0.346684i
\(937\) −4.75792 + 16.2040i −0.155434 + 0.529361i −0.999981 0.00612070i \(-0.998052\pi\)
0.844547 + 0.535482i \(0.179870\pi\)
\(938\) −36.0330 48.1283i −1.17652 1.57145i
\(939\) −3.82859 + 5.13006i −0.124941 + 0.167413i
\(940\) −8.94959 12.5679i −0.291903 0.409921i
\(941\) 34.7032 27.2909i 1.13129 0.889658i 0.136405 0.990653i \(-0.456445\pi\)
0.994887 + 0.100996i \(0.0322028\pi\)
\(942\) −3.44806 + 8.08471i −0.112344 + 0.263414i
\(943\) −0.113184 + 14.5885i −0.00368578 + 0.475067i
\(944\) 4.64992 0.151342
\(945\) −9.49961 2.25977i −0.309022 0.0735104i
\(946\) 32.2556 70.6300i 1.04872 2.29638i
\(947\) 13.6302 + 3.30665i 0.442921 + 0.107452i 0.451016 0.892516i \(-0.351062\pi\)
−0.00809506 + 0.999967i \(0.502577\pi\)
\(948\) 12.6671 + 25.9793i 0.411407 + 0.843768i
\(949\) 5.06687 + 20.8859i 0.164477 + 0.677985i
\(950\) 1.10798 + 23.2593i 0.0359475 + 0.754632i
\(951\) 0.790632 + 0.430214i 0.0256380 + 0.0139507i
\(952\) −13.6572 8.32336i −0.442632 0.269762i
\(953\) −10.7709 + 16.7599i −0.348904 + 0.542906i −0.970706 0.240269i \(-0.922764\pi\)
0.621802 + 0.783174i \(0.286401\pi\)
\(954\) −47.2632 + 33.8653i −1.53020 + 1.09643i
\(955\) −1.68203 4.20150i −0.0544292 0.135957i
\(956\) −54.4892 2.59564i −1.76231 0.0839489i
\(957\) −29.4997 26.7382i −0.953591 0.864322i
\(958\) −40.5468 + 18.5171i −1.31001 + 0.598261i
\(959\) −15.5141 + 18.7921i −0.500977 + 0.606827i
\(960\) 4.00111 + 10.6795i 0.129135 + 0.344681i
\(961\) 10.8527 + 31.3569i 0.350088 + 1.01151i
\(962\) −9.06846 8.64676i −0.292379 0.278783i
\(963\) 8.56875 + 1.62545i 0.276124 + 0.0523793i
\(964\) 32.1036 80.1909i 1.03399 2.58277i
\(965\) −19.1051 −0.615016
\(966\) −7.91652 + 52.7262i −0.254710 + 1.69644i
\(967\) −32.4547 −1.04367 −0.521837 0.853045i \(-0.674753\pi\)
−0.521837 + 0.853045i \(0.674753\pi\)
\(968\) 3.49839 8.73856i 0.112443 0.280868i
\(969\) 3.61135 3.29262i 0.116013 0.105774i
\(970\) −17.3820 16.5737i −0.558102 0.532149i
\(971\) −11.8043 34.1064i −0.378819 1.09453i −0.959818 0.280622i \(-0.909459\pi\)
0.580999 0.813904i \(-0.302662\pi\)
\(972\) 12.4408 59.2783i 0.399039 1.90135i
\(973\) 15.6815 + 42.0359i 0.502726 + 1.34761i
\(974\) 30.2744 13.8258i 0.970053 0.443008i
\(975\) −17.3528 + 19.1450i −0.555733 + 0.613131i
\(976\) −17.3819 0.828002i −0.556381 0.0265037i
\(977\) −19.8105 49.4842i −0.633793 1.58314i −0.801958 0.597380i \(-0.796208\pi\)
0.168165 0.985759i \(-0.446216\pi\)
\(978\) −19.6614 0.439186i −0.628701 0.0140436i
\(979\) −1.45291 + 2.26077i −0.0464351 + 0.0722544i
\(980\) −5.44496 18.5355i −0.173933 0.592094i
\(981\) 52.0123 7.63398i 1.66063 0.243734i
\(982\) 1.86343 + 39.1183i 0.0594645 + 1.24831i
\(983\) −4.67832 19.2843i −0.149215 0.615074i −0.996475 0.0838943i \(-0.973264\pi\)
0.847259 0.531179i \(-0.178251\pi\)
\(984\) 21.6639 10.5630i 0.690620 0.336735i
\(985\) 5.17180 + 1.25467i 0.164787 + 0.0399770i
\(986\) 10.2376 22.4171i 0.326030 0.713907i
\(987\) 21.5309 13.8836i 0.685336 0.441919i
\(988\) −27.5299 −0.875842
\(989\) −14.0788 49.3614i −0.447679 1.56960i
\(990\) −15.0120 + 3.68850i −0.477111 + 0.117228i
\(991\) 16.2915 12.8118i 0.517517 0.406980i −0.324947 0.945732i \(-0.605347\pi\)
0.842464 + 0.538752i \(0.181104\pi\)
\(992\) 5.01358 + 7.04058i 0.159181 + 0.223539i
\(993\) 24.2868 + 18.1253i 0.770717 + 0.575190i
\(994\) 0.321790 + 2.68996i 0.0102066 + 0.0853203i
\(995\) −0.0424989 + 0.144738i −0.00134731 + 0.00458850i
\(996\) 89.8126 74.3773i 2.84582 2.35673i
\(997\) −28.0663 19.9860i −0.888870 0.632962i 0.0416780 0.999131i \(-0.486730\pi\)
−0.930548 + 0.366170i \(0.880669\pi\)
\(998\) 10.7707 + 3.72777i 0.340940 + 0.118001i
\(999\) −5.41369 + 6.00814i −0.171282 + 0.190089i
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 483.2.bb.a.26.7 1200
3.2 odd 2 inner 483.2.bb.a.26.54 yes 1200
7.3 odd 6 inner 483.2.bb.a.164.7 yes 1200
21.17 even 6 inner 483.2.bb.a.164.54 yes 1200
23.8 even 11 inner 483.2.bb.a.215.54 yes 1200
69.8 odd 22 inner 483.2.bb.a.215.7 yes 1200
161.31 odd 66 inner 483.2.bb.a.353.54 yes 1200
483.353 even 66 inner 483.2.bb.a.353.7 yes 1200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bb.a.26.7 1200 1.1 even 1 trivial
483.2.bb.a.26.54 yes 1200 3.2 odd 2 inner
483.2.bb.a.164.7 yes 1200 7.3 odd 6 inner
483.2.bb.a.164.54 yes 1200 21.17 even 6 inner
483.2.bb.a.215.7 yes 1200 69.8 odd 22 inner
483.2.bb.a.215.54 yes 1200 23.8 even 11 inner
483.2.bb.a.353.7 yes 1200 483.353 even 66 inner
483.2.bb.a.353.54 yes 1200 161.31 odd 66 inner