Properties

Label 349.2.k.a.3.1
Level $349$
Weight $2$
Character 349.3
Analytic conductor $2.787$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [349,2,Mod(3,349)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(349, base_ring=CyclotomicField(174))
 
chi = DirichletCharacter(H, H._module([13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("349.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 349.k (of order \(174\), degree \(56\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(29\) over \(\Q(\zeta_{174})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{174}]$

Embedding invariants

Embedding label 3.1
Character \(\chi\) \(=\) 349.3
Dual form 349.2.k.a.233.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.69504 - 0.644448i) q^{2} +(2.08866 - 0.381263i) q^{3} +(5.06425 + 2.56886i) q^{4} +(-0.186969 - 1.47146i) q^{5} +(-5.87473 - 0.318518i) q^{6} +(3.45075 + 0.0623105i) q^{7} +(-7.76892 - 6.59898i) q^{8} +(1.41063 - 0.532742i) q^{9} +O(q^{10})\) \(q+(-2.69504 - 0.644448i) q^{2} +(2.08866 - 0.381263i) q^{3} +(5.06425 + 2.56886i) q^{4} +(-0.186969 - 1.47146i) q^{5} +(-5.87473 - 0.318518i) q^{6} +(3.45075 + 0.0623105i) q^{7} +(-7.76892 - 6.59898i) q^{8} +(1.41063 - 0.532742i) q^{9} +(-0.444394 + 4.08614i) q^{10} +(0.700120 - 3.18068i) q^{11} +(11.5569 + 3.43467i) q^{12} +(-4.71300 - 4.62867i) q^{13} +(-9.25974 - 2.39176i) q^{14} +(-0.951529 - 3.00211i) q^{15} +(9.97618 + 13.6273i) q^{16} +(2.24251 + 2.64009i) q^{17} +(-4.14503 + 0.526680i) q^{18} +(2.81802 + 0.409893i) q^{19} +(2.83313 - 7.93216i) q^{20} +(7.23122 - 1.18550i) q^{21} +(-3.93663 + 8.12085i) q^{22} +(-3.67367 + 3.74060i) q^{23} +(-18.7426 - 10.8211i) q^{24} +(2.71087 - 0.700208i) q^{25} +(9.71878 + 15.5117i) q^{26} +(-2.71456 + 1.63329i) q^{27} +(17.3154 + 9.18005i) q^{28} +(1.90805 - 0.567064i) q^{29} +(0.629703 + 8.70400i) q^{30} +(-1.12494 + 2.12186i) q^{31} +(-10.2176 - 24.3558i) q^{32} +(0.249641 - 6.91029i) q^{33} +(-4.34225 - 8.56032i) q^{34} +(-0.553495 - 5.08931i) q^{35} +(8.51234 + 0.925772i) q^{36} +(0.140656 + 0.506596i) q^{37} +(-7.33052 - 2.92075i) q^{38} +(-11.6086 - 7.87084i) q^{39} +(-8.25762 + 12.6655i) q^{40} +(7.73382 - 9.10496i) q^{41} +(-20.2524 - 1.46519i) q^{42} +(-3.11769 - 2.84822i) q^{43} +(11.7163 - 14.3092i) q^{44} +(-1.04765 - 1.97609i) q^{45} +(12.3113 - 7.71357i) q^{46} +(-1.07751 + 3.19792i) q^{47} +(26.0325 + 24.6592i) q^{48} +(4.90837 + 0.177320i) q^{49} +(-7.75713 + 0.140071i) q^{50} +(5.69042 + 4.65927i) q^{51} +(-11.9774 - 35.5478i) q^{52} +(-0.0388689 + 0.0840138i) q^{53} +(8.36840 - 2.65240i) q^{54} +(-4.81115 - 0.435513i) q^{55} +(-26.3974 - 23.2555i) q^{56} +(6.04218 - 0.218280i) q^{57} +(-5.50771 + 0.298619i) q^{58} +(1.38229 + 7.57256i) q^{59} +(2.89321 - 17.6478i) q^{60} +(-2.81161 - 2.96818i) q^{61} +(4.39918 - 4.99353i) q^{62} +(4.90093 - 1.75046i) q^{63} +(6.37604 + 38.8921i) q^{64} +(-5.92973 + 7.80043i) q^{65} +(-5.12612 + 18.4626i) q^{66} +(3.43057 - 8.61009i) q^{67} +(4.57463 + 19.1308i) q^{68} +(-6.24691 + 9.21350i) q^{69} +(-1.78810 + 14.0726i) q^{70} +(-1.91944 + 10.5152i) q^{71} +(-14.4746 - 5.16990i) q^{72} +(-5.53545 + 3.06400i) q^{73} +(-0.0525972 - 1.45594i) q^{74} +(5.39513 - 2.49605i) q^{75} +(13.2182 + 9.31491i) q^{76} +(2.61413 - 10.9321i) q^{77} +(26.2133 + 28.6933i) q^{78} +(4.48003 + 9.68342i) q^{79} +(18.1868 - 17.2275i) q^{80} +(-8.44139 + 7.43667i) q^{81} +(-26.7106 + 19.5541i) q^{82} +(14.2993 + 5.99873i) q^{83} +(39.6661 + 12.5723i) q^{84} +(3.46551 - 3.79339i) q^{85} +(6.56675 + 9.68523i) q^{86} +(3.76908 - 1.91188i) q^{87} +(-26.4284 + 20.0904i) q^{88} +(0.614511 - 0.297888i) q^{89} +(1.54998 + 6.00078i) q^{90} +(-15.9750 - 16.2661i) q^{91} +(-28.2135 + 9.50623i) q^{92} +(-1.54063 + 4.86075i) q^{93} +(4.96481 - 7.92412i) q^{94} +(0.0762597 - 4.22326i) q^{95} +(-30.6270 - 46.9755i) q^{96} +(-1.41757 - 0.180120i) q^{97} +(-13.1140 - 3.64107i) q^{98} +(-0.706869 - 4.85975i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624 q - 55 q^{2} - 58 q^{3} - 85 q^{4} - 60 q^{5} - 58 q^{6} - 58 q^{7} - 145 q^{8} - 29 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1624 q - 55 q^{2} - 58 q^{3} - 85 q^{4} - 60 q^{5} - 58 q^{6} - 58 q^{7} - 145 q^{8} - 29 q^{9} - 58 q^{10} - 58 q^{11} - 57 q^{12} - 55 q^{13} - 48 q^{14} - 59 q^{15} - 29 q^{16} - 48 q^{17} + 43 q^{18} + 67 q^{19} - 58 q^{20} + 58 q^{21} - 55 q^{22} - 41 q^{23} - 39 q^{24} - 29 q^{25} - 112 q^{26} - 76 q^{27} - 58 q^{28} - 56 q^{29} - 67 q^{30} - 90 q^{31} - 67 q^{32} - 46 q^{33} + 5 q^{34} - 82 q^{36} + 45 q^{37} - 58 q^{38} - 58 q^{39} - 112 q^{40} + 10 q^{41} + 305 q^{42} - 13 q^{43} + 40 q^{44} - 56 q^{45} - 85 q^{46} - 58 q^{47} - 122 q^{48} - 93 q^{49} - 441 q^{50} - 160 q^{51} + 58 q^{52} - 58 q^{53} - 85 q^{54} + 34 q^{55} - 69 q^{56} - 29 q^{57} - 58 q^{58} - 40 q^{59} + 522 q^{60} + 87 q^{61} - 49 q^{62} - 37 q^{63} + 335 q^{64} - 58 q^{65} - 565 q^{66} - 116 q^{67} - 58 q^{68} + 16 q^{69} - 98 q^{70} - 34 q^{71} + 44 q^{72} - 52 q^{73} - 204 q^{74} - 95 q^{76} - 54 q^{77} + 439 q^{78} - 58 q^{79} - 192 q^{80} - 209 q^{81} - 79 q^{82} + 162 q^{83} + 330 q^{84} - 192 q^{85} + 126 q^{86} - 190 q^{87} - 8 q^{88} + 345 q^{89} - 46 q^{90} - 30 q^{91} + 62 q^{92} - 89 q^{93} - 87 q^{94} - 350 q^{95} + 990 q^{96} - 43 q^{97} - 464 q^{98} - 97 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{174}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.69504 0.644448i −1.90568 0.455694i −0.999459 0.0328850i \(-0.989531\pi\)
−0.906219 0.422809i \(-0.861044\pi\)
\(3\) 2.08866 0.381263i 1.20589 0.220122i 0.461056 0.887371i \(-0.347471\pi\)
0.744835 + 0.667249i \(0.232528\pi\)
\(4\) 5.06425 + 2.56886i 2.53213 + 1.28443i
\(5\) −0.186969 1.47146i −0.0836150 0.658058i −0.977677 0.210115i \(-0.932616\pi\)
0.894062 0.447944i \(-0.147844\pi\)
\(6\) −5.87473 0.318518i −2.39835 0.130035i
\(7\) 3.45075 + 0.0623105i 1.30426 + 0.0235512i 0.665816 0.746116i \(-0.268084\pi\)
0.638445 + 0.769667i \(0.279578\pi\)
\(8\) −7.76892 6.59898i −2.74673 2.33309i
\(9\) 1.41063 0.532742i 0.470210 0.177581i
\(10\) −0.444394 + 4.08614i −0.140530 + 1.29215i
\(11\) 0.700120 3.18068i 0.211094 0.959010i −0.745254 0.666781i \(-0.767672\pi\)
0.956348 0.292230i \(-0.0943971\pi\)
\(12\) 11.5569 + 3.43467i 3.33620 + 0.991504i
\(13\) −4.71300 4.62867i −1.30715 1.28376i −0.934578 0.355759i \(-0.884222\pi\)
−0.372574 0.928002i \(-0.621525\pi\)
\(14\) −9.25974 2.39176i −2.47477 0.639225i
\(15\) −0.951529 3.00211i −0.245684 0.775141i
\(16\) 9.97618 + 13.6273i 2.49404 + 3.40682i
\(17\) 2.24251 + 2.64009i 0.543889 + 0.640316i 0.963602 0.267341i \(-0.0861451\pi\)
−0.419713 + 0.907657i \(0.637869\pi\)
\(18\) −4.14503 + 0.526680i −0.976992 + 0.124140i
\(19\) 2.81802 + 0.409893i 0.646499 + 0.0940358i 0.459293 0.888285i \(-0.348103\pi\)
0.187206 + 0.982321i \(0.440057\pi\)
\(20\) 2.83313 7.93216i 0.633506 1.77369i
\(21\) 7.23122 1.18550i 1.57798 0.258697i
\(22\) −3.93663 + 8.12085i −0.839292 + 1.73137i
\(23\) −3.67367 + 3.74060i −0.766013 + 0.779970i −0.980450 0.196768i \(-0.936955\pi\)
0.214437 + 0.976738i \(0.431208\pi\)
\(24\) −18.7426 10.8211i −3.82582 2.20884i
\(25\) 2.71087 0.700208i 0.542173 0.140042i
\(26\) 9.71878 + 15.5117i 1.90601 + 3.04210i
\(27\) −2.71456 + 1.63329i −0.522417 + 0.314328i
\(28\) 17.3154 + 9.18005i 3.27231 + 1.73487i
\(29\) 1.90805 0.567064i 0.354316 0.105301i −0.102815 0.994700i \(-0.532785\pi\)
0.457131 + 0.889399i \(0.348877\pi\)
\(30\) 0.629703 + 8.70400i 0.114967 + 1.58913i
\(31\) −1.12494 + 2.12186i −0.202045 + 0.381098i −0.963742 0.266836i \(-0.914022\pi\)
0.761697 + 0.647934i \(0.224367\pi\)
\(32\) −10.2176 24.3558i −1.80623 4.30554i
\(33\) 0.249641 6.91029i 0.0434569 1.20293i
\(34\) −4.34225 8.56032i −0.744689 1.46808i
\(35\) −0.553495 5.08931i −0.0935578 0.860250i
\(36\) 8.51234 + 0.925772i 1.41872 + 0.154295i
\(37\) 0.140656 + 0.506596i 0.0231236 + 0.0832838i 0.974212 0.225636i \(-0.0724462\pi\)
−0.951088 + 0.308920i \(0.900032\pi\)
\(38\) −7.33052 2.92075i −1.18917 0.473808i
\(39\) −11.6086 7.87084i −1.85887 1.26034i
\(40\) −8.25762 + 12.6655i −1.30564 + 2.00259i
\(41\) 7.73382 9.10496i 1.20782 1.42196i 0.329317 0.944219i \(-0.393181\pi\)
0.878503 0.477737i \(-0.158543\pi\)
\(42\) −20.2524 1.46519i −3.12501 0.226083i
\(43\) −3.11769 2.84822i −0.475443 0.434349i 0.400839 0.916149i \(-0.368719\pi\)
−0.876281 + 0.481800i \(0.839983\pi\)
\(44\) 11.7163 14.3092i 1.76630 2.15720i
\(45\) −1.04765 1.97609i −0.156175 0.294578i
\(46\) 12.3113 7.71357i 1.81520 1.13730i
\(47\) −1.07751 + 3.19792i −0.157170 + 0.466465i −0.997089 0.0762473i \(-0.975706\pi\)
0.839919 + 0.542713i \(0.182603\pi\)
\(48\) 26.0325 + 24.6592i 3.75746 + 3.55926i
\(49\) 4.90837 + 0.177320i 0.701195 + 0.0253314i
\(50\) −7.75713 + 0.140071i −1.09702 + 0.0198091i
\(51\) 5.69042 + 4.65927i 0.796818 + 0.652428i
\(52\) −11.9774 35.5478i −1.66097 4.92959i
\(53\) −0.0388689 + 0.0840138i −0.00533906 + 0.0115402i −0.910227 0.414111i \(-0.864093\pi\)
0.904888 + 0.425651i \(0.139955\pi\)
\(54\) 8.36840 2.65240i 1.13880 0.360945i
\(55\) −4.81115 0.435513i −0.648735 0.0587246i
\(56\) −26.3974 23.2555i −3.52751 3.10765i
\(57\) 6.04218 0.218280i 0.800306 0.0289118i
\(58\) −5.50771 + 0.298619i −0.723197 + 0.0392106i
\(59\) 1.38229 + 7.57256i 0.179959 + 0.985863i 0.941315 + 0.337530i \(0.109591\pi\)
−0.761356 + 0.648334i \(0.775466\pi\)
\(60\) 2.89321 17.6478i 0.373512 2.27832i
\(61\) −2.81161 2.96818i −0.359989 0.380036i 0.520693 0.853744i \(-0.325674\pi\)
−0.880682 + 0.473708i \(0.842915\pi\)
\(62\) 4.39918 4.99353i 0.558697 0.634179i
\(63\) 4.90093 1.75046i 0.617460 0.220538i
\(64\) 6.37604 + 38.8921i 0.797005 + 4.86152i
\(65\) −5.92973 + 7.80043i −0.735493 + 0.967524i
\(66\) −5.12612 + 18.4626i −0.630982 + 2.27259i
\(67\) 3.43057 8.61009i 0.419111 1.05189i −0.556199 0.831049i \(-0.687741\pi\)
0.975310 0.220841i \(-0.0708801\pi\)
\(68\) 4.57463 + 19.1308i 0.554756 + 2.31995i
\(69\) −6.24691 + 9.21350i −0.752039 + 1.10918i
\(70\) −1.78810 + 14.0726i −0.213719 + 1.68199i
\(71\) −1.91944 + 10.5152i −0.227795 + 1.24793i 0.646645 + 0.762791i \(0.276172\pi\)
−0.874440 + 0.485134i \(0.838771\pi\)
\(72\) −14.4746 5.16990i −1.70585 0.609279i
\(73\) −5.53545 + 3.06400i −0.647875 + 0.358614i −0.773803 0.633426i \(-0.781648\pi\)
0.125928 + 0.992039i \(0.459809\pi\)
\(74\) −0.0525972 1.45594i −0.00611430 0.169249i
\(75\) 5.39513 2.49605i 0.622976 0.288219i
\(76\) 13.2182 + 9.31491i 1.51624 + 1.06849i
\(77\) 2.61413 10.9321i 0.297908 1.24583i
\(78\) 26.2133 + 28.6933i 2.96807 + 3.24888i
\(79\) 4.48003 + 9.68342i 0.504043 + 1.08947i 0.977939 + 0.208890i \(0.0669850\pi\)
−0.473897 + 0.880580i \(0.657153\pi\)
\(80\) 18.1868 17.2275i 2.03335 1.92609i
\(81\) −8.44139 + 7.43667i −0.937932 + 0.826297i
\(82\) −26.7106 + 19.5541i −2.94969 + 2.15939i
\(83\) 14.2993 + 5.99873i 1.56955 + 0.658446i 0.987914 0.155002i \(-0.0495383\pi\)
0.581638 + 0.813447i \(0.302412\pi\)
\(84\) 39.6661 + 12.5723i 4.32793 + 1.37175i
\(85\) 3.46551 3.79339i 0.375888 0.411451i
\(86\) 6.56675 + 9.68523i 0.708111 + 1.04439i
\(87\) 3.76908 1.91188i 0.404087 0.204975i
\(88\) −26.4284 + 20.0904i −2.81728 + 2.14164i
\(89\) 0.614511 0.297888i 0.0651380 0.0315760i −0.403351 0.915045i \(-0.632155\pi\)
0.468489 + 0.883469i \(0.344798\pi\)
\(90\) 1.54998 + 6.00078i 0.163382 + 0.632538i
\(91\) −15.9750 16.2661i −1.67463 1.70515i
\(92\) −28.2135 + 9.50623i −2.94146 + 0.991093i
\(93\) −1.54063 + 4.86075i −0.159756 + 0.504037i
\(94\) 4.96481 7.92412i 0.512081 0.817311i
\(95\) 0.0762597 4.22326i 0.00782408 0.433297i
\(96\) −30.6270 46.9755i −3.12586 4.79442i
\(97\) −1.41757 0.180120i −0.143932 0.0182885i 0.0537516 0.998554i \(-0.482882\pi\)
−0.197684 + 0.980266i \(0.563342\pi\)
\(98\) −13.1140 3.64107i −1.32471 0.367804i
\(99\) −0.706869 4.85975i −0.0710431 0.488423i
\(100\) 15.5273 + 3.41781i 1.55273 + 0.341781i
\(101\) 12.3678 4.92778i 1.23064 0.490332i 0.338020 0.941139i \(-0.390243\pi\)
0.892622 + 0.450807i \(0.148864\pi\)
\(102\) −12.3332 16.2241i −1.22117 1.60642i
\(103\) 2.34758 2.47831i 0.231314 0.244195i −0.599998 0.800002i \(-0.704832\pi\)
0.831312 + 0.555807i \(0.187590\pi\)
\(104\) 6.07046 + 67.0608i 0.595257 + 6.57585i
\(105\) −3.09643 10.4188i −0.302181 1.01677i
\(106\) 0.158896 0.201371i 0.0154333 0.0195589i
\(107\) −5.41548 4.27319i −0.523535 0.413105i 0.322230 0.946662i \(-0.395568\pi\)
−0.845764 + 0.533557i \(0.820855\pi\)
\(108\) −17.9429 + 1.29810i −1.72656 + 0.124910i
\(109\) −3.65013 + 4.98602i −0.349619 + 0.477574i −0.945557 0.325457i \(-0.894482\pi\)
0.595937 + 0.803031i \(0.296781\pi\)
\(110\) 12.6856 + 4.27426i 1.20952 + 0.407535i
\(111\) 0.486928 + 1.00448i 0.0462172 + 0.0953411i
\(112\) 33.5762 + 47.6460i 3.17265 + 4.50212i
\(113\) −0.617967 + 2.07933i −0.0581335 + 0.195607i −0.982627 0.185591i \(-0.940580\pi\)
0.924494 + 0.381197i \(0.124488\pi\)
\(114\) −16.4246 3.30560i −1.53830 0.309598i
\(115\) 6.19103 + 4.70629i 0.577316 + 0.438864i
\(116\) 11.1196 + 2.02976i 1.03243 + 0.188458i
\(117\) −9.11420 4.01853i −0.842608 0.371513i
\(118\) 1.15481 21.2991i 0.106308 1.96074i
\(119\) 7.57384 + 9.25002i 0.694293 + 0.847948i
\(120\) −12.4185 + 29.6023i −1.13365 + 2.70231i
\(121\) 0.356792 + 0.165070i 0.0324357 + 0.0150063i
\(122\) 5.66454 + 9.81128i 0.512844 + 0.888271i
\(123\) 12.6820 21.9658i 1.14350 1.98059i
\(124\) −11.1478 + 7.85584i −1.00110 + 0.705475i
\(125\) −4.28230 10.7478i −0.383020 0.961308i
\(126\) −14.3363 + 1.55916i −1.27718 + 0.138901i
\(127\) −1.57836 7.17056i −0.140057 0.636284i −0.993377 0.114898i \(-0.963346\pi\)
0.853321 0.521387i \(-0.174585\pi\)
\(128\) 4.06862 56.2380i 0.359618 4.97079i
\(129\) −7.59772 4.76031i −0.668942 0.419122i
\(130\) 21.0078 17.2010i 1.84251 1.50863i
\(131\) −14.2177 + 12.0766i −1.24221 + 1.05514i −0.245898 + 0.969296i \(0.579083\pi\)
−0.996309 + 0.0858442i \(0.972641\pi\)
\(132\) 19.0158 34.3542i 1.65512 2.99015i
\(133\) 9.69876 + 1.59003i 0.840989 + 0.137873i
\(134\) −14.7943 + 20.9937i −1.27803 + 1.81358i
\(135\) 2.91087 + 3.68900i 0.250528 + 0.317498i
\(136\) 35.3089i 3.02772i
\(137\) −9.37401 + 7.39674i −0.800876 + 0.631946i −0.933239 0.359255i \(-0.883031\pi\)
0.132363 + 0.991201i \(0.457743\pi\)
\(138\) 22.7733 20.8049i 1.93859 1.77103i
\(139\) 0.458222 + 8.45142i 0.0388659 + 0.716840i 0.951422 + 0.307889i \(0.0996225\pi\)
−0.912556 + 0.408951i \(0.865895\pi\)
\(140\) 10.2707 27.1954i 0.868030 2.29843i
\(141\) −1.03130 + 7.09020i −0.0868510 + 0.597103i
\(142\) 11.9495 27.1019i 1.00278 2.27434i
\(143\) −18.0220 + 11.7499i −1.50707 + 0.982577i
\(144\) 21.3325 + 13.9083i 1.77771 + 1.15903i
\(145\) −1.19116 2.70160i −0.0989205 0.224356i
\(146\) 16.8928 4.69027i 1.39806 0.388169i
\(147\) 10.3195 1.50102i 0.851141 0.123802i
\(148\) −0.589057 + 2.92685i −0.0484202 + 0.240586i
\(149\) 4.03215 + 1.95461i 0.330327 + 0.160128i 0.593959 0.804495i \(-0.297564\pi\)
−0.263632 + 0.964623i \(0.584921\pi\)
\(150\) −16.1486 + 3.25007i −1.31853 + 0.265367i
\(151\) −0.758622 + 8.38055i −0.0617358 + 0.682000i 0.904863 + 0.425704i \(0.139973\pi\)
−0.966598 + 0.256296i \(0.917498\pi\)
\(152\) −19.1881 21.7805i −1.55636 1.76663i
\(153\) 4.56984 + 2.52951i 0.369450 + 0.204499i
\(154\) −14.0903 + 27.7777i −1.13543 + 2.23839i
\(155\) 3.33257 + 1.25859i 0.267679 + 0.101092i
\(156\) −38.5699 69.6808i −3.08807 5.57893i
\(157\) 4.97901 + 13.9402i 0.397368 + 1.11255i 0.958567 + 0.284867i \(0.0919495\pi\)
−0.561199 + 0.827681i \(0.689660\pi\)
\(158\) −5.83337 28.9843i −0.464078 2.30587i
\(159\) −0.0491528 + 0.190296i −0.00389807 + 0.0150914i
\(160\) −33.9283 + 19.5885i −2.68227 + 1.54861i
\(161\) −12.9100 + 12.6790i −1.01745 + 0.999244i
\(162\) 27.5424 14.6021i 2.16393 1.14725i
\(163\) 4.73003 7.86138i 0.370485 0.615751i −0.614393 0.789000i \(-0.710599\pi\)
0.984878 + 0.173250i \(0.0554267\pi\)
\(164\) 62.5554 26.2427i 4.88476 2.04921i
\(165\) −10.2149 + 0.924672i −0.795231 + 0.0719856i
\(166\) −34.6713 25.3819i −2.69101 1.97002i
\(167\) −3.77420 6.27277i −0.292056 0.485401i 0.675739 0.737141i \(-0.263825\pi\)
−0.967795 + 0.251740i \(0.918997\pi\)
\(168\) −64.0019 38.5086i −4.93785 2.97101i
\(169\) 0.553124 + 30.6320i 0.0425480 + 2.35631i
\(170\) −11.7843 + 7.98997i −0.903817 + 0.612803i
\(171\) 4.19356 0.923072i 0.320689 0.0705891i
\(172\) −8.47209 22.4330i −0.645991 1.71050i
\(173\) −16.5354 + 7.29061i −1.25716 + 0.554295i −0.921753 0.387777i \(-0.873243\pi\)
−0.335411 + 0.942072i \(0.608875\pi\)
\(174\) −11.3899 + 2.72360i −0.863466 + 0.206476i
\(175\) 9.39816 2.24733i 0.710434 0.169882i
\(176\) 50.3285 22.1903i 3.79365 1.67265i
\(177\) 5.77427 + 15.2895i 0.434021 + 1.14923i
\(178\) −1.84810 + 0.406798i −0.138521 + 0.0304908i
\(179\) 10.7584 7.29439i 0.804123 0.545209i −0.0884668 0.996079i \(-0.528197\pi\)
0.892589 + 0.450870i \(0.148886\pi\)
\(180\) −0.229301 12.6987i −0.0170911 0.946504i
\(181\) −3.34229 2.01099i −0.248430 0.149476i 0.385893 0.922544i \(-0.373893\pi\)
−0.634323 + 0.773068i \(0.718721\pi\)
\(182\) 32.5705 + 54.1327i 2.41429 + 4.01258i
\(183\) −7.00415 5.12756i −0.517762 0.379040i
\(184\) 53.2247 4.81799i 3.92377 0.355187i
\(185\) 0.719139 0.301687i 0.0528721 0.0221805i
\(186\) 7.28457 12.1070i 0.534131 0.887732i
\(187\) 9.96730 5.28433i 0.728881 0.386428i
\(188\) −13.6718 + 13.4271i −0.997117 + 0.979275i
\(189\) −9.46903 + 5.46695i −0.688771 + 0.397662i
\(190\) −2.92719 + 11.3327i −0.212361 + 0.822159i
\(191\) 5.09599 + 25.3205i 0.368733 + 1.83213i 0.533508 + 0.845795i \(0.320874\pi\)
−0.164775 + 0.986331i \(0.552690\pi\)
\(192\) 28.1455 + 78.8017i 2.03123 + 5.68702i
\(193\) 3.82261 + 6.90597i 0.275157 + 0.497102i 0.976442 0.215779i \(-0.0692290\pi\)
−0.701285 + 0.712881i \(0.747390\pi\)
\(194\) 3.70431 + 1.39898i 0.265954 + 0.100441i
\(195\) −9.41120 + 18.5533i −0.673950 + 1.32863i
\(196\) 24.4017 + 13.5069i 1.74298 + 0.964779i
\(197\) 7.00176 + 7.94772i 0.498855 + 0.566251i 0.944312 0.329052i \(-0.106729\pi\)
−0.445457 + 0.895303i \(0.646959\pi\)
\(198\) −1.22682 + 13.5527i −0.0871860 + 0.963151i
\(199\) −9.84436 + 1.98127i −0.697848 + 0.140449i −0.533307 0.845922i \(-0.679051\pi\)
−0.164541 + 0.986370i \(0.552614\pi\)
\(200\) −25.6812 12.4491i −1.81593 0.880285i
\(201\) 3.88261 19.2915i 0.273858 1.36072i
\(202\) −36.5073 + 5.31014i −2.56865 + 0.373620i
\(203\) 6.61954 1.83791i 0.464601 0.128996i
\(204\) 16.8487 + 38.2136i 1.17965 + 2.67549i
\(205\) −14.8436 9.67770i −1.03672 0.675920i
\(206\) −7.92395 + 5.16624i −0.552088 + 0.359949i
\(207\) −3.18942 + 7.23373i −0.221680 + 0.502779i
\(208\) 16.0584 110.402i 1.11345 7.65499i
\(209\) 3.27669 8.67625i 0.226653 0.600149i
\(210\) 1.63060 + 30.0746i 0.112522 + 2.07534i
\(211\) 15.3721 14.0435i 1.05826 0.966793i 0.0587571 0.998272i \(-0.481286\pi\)
0.999504 + 0.0314794i \(0.0100219\pi\)
\(212\) −0.412662 + 0.325619i −0.0283417 + 0.0223636i
\(213\) 22.6945i 1.55500i
\(214\) 11.8411 + 15.0064i 0.809439 + 1.02582i
\(215\) −3.60813 + 5.12009i −0.246073 + 0.349187i
\(216\) 31.8673 + 5.22437i 2.16829 + 0.355474i
\(217\) −4.01410 + 7.25192i −0.272495 + 0.492293i
\(218\) 13.0505 11.0852i 0.883889 0.750782i
\(219\) −10.3935 + 8.51012i −0.702328 + 0.575060i
\(220\) −23.2461 14.5647i −1.56725 0.981953i
\(221\) 1.65113 22.8226i 0.111067 1.53521i
\(222\) −0.664953 3.02091i −0.0446287 0.202750i
\(223\) −5.39472 + 0.586711i −0.361257 + 0.0392891i −0.286948 0.957946i \(-0.592641\pi\)
−0.0743091 + 0.997235i \(0.523675\pi\)
\(224\) −33.7406 84.6825i −2.25439 5.65809i
\(225\) 3.45100 2.43193i 0.230067 0.162129i
\(226\) 3.00546 5.20562i 0.199920 0.346272i
\(227\) −6.73438 11.6643i −0.446976 0.774186i 0.551211 0.834366i \(-0.314166\pi\)
−0.998188 + 0.0601800i \(0.980833\pi\)
\(228\) 31.1599 + 14.4161i 2.06361 + 0.954729i
\(229\) −4.12492 + 9.83268i −0.272583 + 0.649761i −0.999309 0.0371654i \(-0.988167\pi\)
0.726727 + 0.686927i \(0.241041\pi\)
\(230\) −13.6521 16.6734i −0.900191 1.09941i
\(231\) 1.29203 23.8302i 0.0850096 1.56791i
\(232\) −18.5655 8.18571i −1.21889 0.537418i
\(233\) −10.9731 2.00302i −0.718870 0.131222i −0.192279 0.981340i \(-0.561588\pi\)
−0.526592 + 0.850118i \(0.676530\pi\)
\(234\) 21.9734 + 16.7037i 1.43644 + 1.09196i
\(235\) 4.90709 + 0.987599i 0.320103 + 0.0644238i
\(236\) −12.4526 + 41.9003i −0.810594 + 2.72748i
\(237\) 13.0492 + 18.5173i 0.847637 + 1.20283i
\(238\) −14.4506 29.8101i −0.936695 1.93230i
\(239\) −19.7864 6.66682i −1.27988 0.431241i −0.404437 0.914566i \(-0.632532\pi\)
−0.875441 + 0.483325i \(0.839429\pi\)
\(240\) 31.4179 42.9163i 2.02802 2.77024i
\(241\) −0.558028 + 0.0403713i −0.0359457 + 0.00260054i −0.0901189 0.995931i \(-0.528725\pi\)
0.0541732 + 0.998532i \(0.482748\pi\)
\(242\) −0.855189 0.674803i −0.0549736 0.0433780i
\(243\) −8.90859 + 11.2900i −0.571486 + 0.724254i
\(244\) −6.61386 22.2542i −0.423409 1.42468i
\(245\) −0.656793 7.25564i −0.0419609 0.463546i
\(246\) −48.3342 + 51.0258i −3.08168 + 3.25329i
\(247\) −11.3841 14.9755i −0.724353 0.952870i
\(248\) 22.7417 9.06112i 1.44410 0.575382i
\(249\) 32.1535 + 7.07753i 2.03765 + 0.448520i
\(250\) 4.61457 + 31.7253i 0.291851 + 2.00648i
\(251\) 21.7439 + 6.03716i 1.37246 + 0.381062i 0.874032 0.485868i \(-0.161497\pi\)
0.498429 + 0.866930i \(0.333910\pi\)
\(252\) 29.3163 + 3.72502i 1.84675 + 0.234654i
\(253\) 9.32565 + 14.3036i 0.586298 + 0.899261i
\(254\) −0.367319 + 20.3421i −0.0230476 + 1.27638i
\(255\) 5.79202 9.24438i 0.362710 0.578906i
\(256\) −23.3921 + 73.8028i −1.46200 + 4.61267i
\(257\) 2.79080 0.940331i 0.174085 0.0586562i −0.230909 0.972975i \(-0.574170\pi\)
0.404995 + 0.914319i \(0.367273\pi\)
\(258\) 17.4083 + 17.7255i 1.08380 + 1.10354i
\(259\) 0.453801 + 1.75690i 0.0281978 + 0.109168i
\(260\) −50.0679 + 24.2707i −3.10508 + 1.50521i
\(261\) 2.38946 1.81642i 0.147904 0.112433i
\(262\) 46.1000 23.3844i 2.84807 1.44469i
\(263\) −0.279064 0.411588i −0.0172078 0.0253796i 0.818988 0.573811i \(-0.194536\pi\)
−0.836196 + 0.548431i \(0.815225\pi\)
\(264\) −47.5404 + 52.0382i −2.92591 + 3.20273i
\(265\) 0.130891 + 0.0414863i 0.00804054 + 0.00254848i
\(266\) −25.1138 10.5355i −1.53983 0.645975i
\(267\) 1.16993 0.856477i 0.0715987 0.0524156i
\(268\) 39.4914 34.7910i 2.41232 2.12520i
\(269\) −11.4879 + 10.8819i −0.700432 + 0.663484i −0.952609 0.304197i \(-0.901612\pi\)
0.252178 + 0.967681i \(0.418853\pi\)
\(270\) −5.46753 11.8179i −0.332744 0.719213i
\(271\) −9.51001 10.4098i −0.577692 0.632348i 0.378320 0.925675i \(-0.376502\pi\)
−0.956012 + 0.293327i \(0.905237\pi\)
\(272\) −13.6055 + 56.8973i −0.824956 + 3.44991i
\(273\) −39.5680 27.8836i −2.39477 1.68760i
\(274\) 30.0301 13.8934i 1.81419 0.839332i
\(275\) −0.329202 9.11262i −0.0198516 0.549512i
\(276\) −55.3041 + 30.6121i −3.32892 + 1.84263i
\(277\) −17.2601 6.16478i −1.03706 0.370406i −0.237751 0.971326i \(-0.576410\pi\)
−0.799309 + 0.600920i \(0.794801\pi\)
\(278\) 4.21157 23.0722i 0.252593 1.38378i
\(279\) −0.456470 + 3.59247i −0.0273282 + 0.215075i
\(280\) −29.2842 + 43.1909i −1.75006 + 2.58115i
\(281\) −0.848861 3.54988i −0.0506388 0.211768i 0.941480 0.337069i \(-0.109436\pi\)
−0.992119 + 0.125301i \(0.960010\pi\)
\(282\) 7.34865 18.4437i 0.437606 1.09831i
\(283\) −8.26390 + 29.7639i −0.491238 + 1.76928i 0.136274 + 0.990671i \(0.456487\pi\)
−0.627511 + 0.778607i \(0.715926\pi\)
\(284\) −36.7326 + 48.3209i −2.17968 + 2.86732i
\(285\) −1.45089 8.85004i −0.0859433 0.524231i
\(286\) 56.1421 20.0522i 3.31975 1.18571i
\(287\) 27.2548 30.9371i 1.60880 1.82616i
\(288\) −27.3886 28.9138i −1.61389 1.70376i
\(289\) 0.809084 4.93519i 0.0475932 0.290306i
\(290\) 1.46918 + 8.04856i 0.0862730 + 0.472628i
\(291\) −3.02949 + 0.164254i −0.177592 + 0.00962876i
\(292\) −35.9039 + 1.29706i −2.10112 + 0.0759049i
\(293\) −2.06622 1.82029i −0.120710 0.106343i 0.598544 0.801090i \(-0.295746\pi\)
−0.719254 + 0.694747i \(0.755516\pi\)
\(294\) −28.7788 2.60511i −1.67842 0.151933i
\(295\) 10.8843 3.44982i 0.633708 0.200856i
\(296\) 2.25027 4.86389i 0.130794 0.282708i
\(297\) 3.29447 + 9.77763i 0.191164 + 0.567356i
\(298\) −9.60714 7.86625i −0.556527 0.455680i
\(299\) 34.6280 0.625282i 2.00259 0.0361610i
\(300\) 33.7343 + 1.21868i 1.94765 + 0.0703608i
\(301\) −10.5809 10.0227i −0.609872 0.577702i
\(302\) 7.44534 22.0970i 0.428431 1.27154i
\(303\) 23.9534 15.0079i 1.37609 0.862179i
\(304\) 22.5274 + 42.4911i 1.29203 + 2.43703i
\(305\) −3.84188 + 4.69213i −0.219985 + 0.268671i
\(306\) −10.6858 9.76215i −0.610864 0.558065i
\(307\) −2.69389 0.194893i −0.153748 0.0111231i −0.00493109 0.999988i \(-0.501570\pi\)
−0.148817 + 0.988865i \(0.547547\pi\)
\(308\) 41.3217 48.6476i 2.35452 2.77196i
\(309\) 3.95842 6.07140i 0.225186 0.345390i
\(310\) −8.17031 5.53960i −0.464042 0.314628i
\(311\) −9.56136 3.80959i −0.542175 0.216022i 0.0829407 0.996554i \(-0.473569\pi\)
−0.625115 + 0.780532i \(0.714948\pi\)
\(312\) 38.2469 + 137.753i 2.16531 + 7.79873i
\(313\) 19.9881 + 2.17384i 1.12979 + 0.122873i 0.653865 0.756611i \(-0.273146\pi\)
0.475929 + 0.879483i \(0.342112\pi\)
\(314\) −4.43488 40.7780i −0.250275 2.30124i
\(315\) −3.49207 6.88426i −0.196756 0.387884i
\(316\) −2.18735 + 60.5479i −0.123048 + 3.40608i
\(317\) −7.26344 17.3140i −0.407955 0.972453i −0.987515 0.157523i \(-0.949649\pi\)
0.579560 0.814930i \(-0.303224\pi\)
\(318\) 0.255104 0.481178i 0.0143055 0.0269831i
\(319\) −0.467785 6.46590i −0.0261909 0.362021i
\(320\) 56.0362 16.6537i 3.13252 0.930972i
\(321\) −12.9403 6.86053i −0.722259 0.382918i
\(322\) 42.9639 25.8505i 2.39428 1.44059i
\(323\) 5.23730 + 8.35902i 0.291411 + 0.465108i
\(324\) −61.8531 + 15.9764i −3.43628 + 0.887580i
\(325\) −16.0174 9.24762i −0.888483 0.512966i
\(326\) −17.8139 + 18.1384i −0.986618 + 1.00459i
\(327\) −5.72292 + 11.8058i −0.316478 + 0.652861i
\(328\) −120.167 + 19.7004i −6.63511 + 1.08777i
\(329\) −3.91747 + 10.9681i −0.215977 + 0.604691i
\(330\) 28.1255 + 4.09096i 1.54826 + 0.225200i
\(331\) 14.9902 1.90470i 0.823936 0.104692i 0.297301 0.954784i \(-0.403913\pi\)
0.526635 + 0.850092i \(0.323454\pi\)
\(332\) 57.0054 + 67.1120i 3.12858 + 3.68325i
\(333\) 0.468298 + 0.639686i 0.0256626 + 0.0350546i
\(334\) 6.12913 + 19.3376i 0.335371 + 1.05811i
\(335\) −13.3108 3.43815i −0.727249 0.187846i
\(336\) 88.2950 + 86.7150i 4.81689 + 4.73069i
\(337\) −13.5250 4.01958i −0.736756 0.218961i −0.105374 0.994433i \(-0.533604\pi\)
−0.631382 + 0.775472i \(0.717512\pi\)
\(338\) 18.2500 82.9107i 0.992671 4.50975i
\(339\) −0.497956 + 4.57863i −0.0270452 + 0.248677i
\(340\) 27.2949 10.3083i 1.48028 0.559044i
\(341\) 5.96136 + 5.06363i 0.322826 + 0.274211i
\(342\) −11.8967 0.214819i −0.643298 0.0116161i
\(343\) −7.19726 0.390224i −0.388615 0.0210701i
\(344\) 5.42574 + 42.7011i 0.292536 + 2.30229i
\(345\) 14.7253 + 7.46946i 0.792784 + 0.402142i
\(346\) 49.2620 8.99223i 2.64834 0.483426i
\(347\) −6.69172 1.60015i −0.359230 0.0859006i 0.0489519 0.998801i \(-0.484412\pi\)
−0.408182 + 0.912900i \(0.633837\pi\)
\(348\) 23.9989 1.28648
\(349\) 11.8365 14.4533i 0.633593 0.773667i
\(350\) −26.7767 −1.43127
\(351\) 20.3537 + 4.86706i 1.08640 + 0.259784i
\(352\) −84.6215 + 15.4467i −4.51034 + 0.823314i
\(353\) 14.2010 + 7.20351i 0.755844 + 0.383404i 0.787677 0.616089i \(-0.211284\pi\)
−0.0318328 + 0.999493i \(0.510134\pi\)
\(354\) −5.70857 44.9270i −0.303407 2.38784i
\(355\) 15.8316 + 0.858365i 0.840255 + 0.0455573i
\(356\) 3.87727 + 0.0700122i 0.205495 + 0.00371064i
\(357\) 19.3459 + 16.4326i 1.02389 + 0.869703i
\(358\) −33.6952 + 12.7254i −1.78085 + 0.672559i
\(359\) −0.853826 + 7.85080i −0.0450632 + 0.414350i 0.949780 + 0.312920i \(0.101307\pi\)
−0.994843 + 0.101430i \(0.967658\pi\)
\(360\) −4.90101 + 22.2655i −0.258306 + 1.17350i
\(361\) −10.4395 3.10256i −0.549445 0.163293i
\(362\) 7.71161 + 7.57362i 0.405313 + 0.398060i
\(363\) 0.808154 + 0.208743i 0.0424171 + 0.0109562i
\(364\) −39.1162 123.413i −2.05025 6.46860i
\(365\) 5.54351 + 7.57234i 0.290161 + 0.396354i
\(366\) 15.5720 + 18.3328i 0.813961 + 0.958270i
\(367\) 35.4773 4.50786i 1.85190 0.235308i 0.880717 0.473642i \(-0.157061\pi\)
0.971183 + 0.238334i \(0.0766012\pi\)
\(368\) −87.6234 12.7452i −4.56769 0.664388i
\(369\) 6.05898 16.9639i 0.315418 0.883104i
\(370\) −2.13253 + 0.349610i −0.110865 + 0.0181754i
\(371\) −0.139362 + 0.287489i −0.00723531 + 0.0149257i
\(372\) −20.2888 + 20.6584i −1.05192 + 1.07109i
\(373\) −22.7889 13.1572i −1.17996 0.681252i −0.223957 0.974599i \(-0.571898\pi\)
−0.956006 + 0.293347i \(0.905231\pi\)
\(374\) −30.2677 + 7.81804i −1.56511 + 0.404261i
\(375\) −13.0420 20.8158i −0.673486 1.07492i
\(376\) 29.4741 17.7340i 1.52001 0.914560i
\(377\) −11.6174 6.15916i −0.598327 0.317213i
\(378\) 29.0425 8.63132i 1.49379 0.443947i
\(379\) −0.117589 1.62536i −0.00604012 0.0834890i 0.993499 0.113839i \(-0.0363148\pi\)
−0.999539 + 0.0303500i \(0.990338\pi\)
\(380\) 11.2352 21.1917i 0.576351 1.08711i
\(381\) −6.03053 14.3751i −0.308953 0.736460i
\(382\) 2.58386 71.5237i 0.132202 3.65947i
\(383\) 10.5285 + 20.7558i 0.537980 + 1.06057i 0.986030 + 0.166566i \(0.0532679\pi\)
−0.448050 + 0.894008i \(0.647882\pi\)
\(384\) −12.9435 119.014i −0.660521 6.07339i
\(385\) −16.5749 1.80263i −0.844738 0.0918708i
\(386\) −5.85153 21.0753i −0.297835 1.07270i
\(387\) −5.91527 2.35686i −0.300690 0.119806i
\(388\) −6.71621 4.55370i −0.340964 0.231179i
\(389\) −5.13710 + 7.87926i −0.260461 + 0.399494i −0.943753 0.330651i \(-0.892732\pi\)
0.683292 + 0.730146i \(0.260548\pi\)
\(390\) 37.3201 43.9367i 1.88978 2.22482i
\(391\) −18.1138 1.31047i −0.916053 0.0662731i
\(392\) −36.9626 33.7678i −1.86689 1.70553i
\(393\) −25.0916 + 30.6447i −1.26571 + 1.54582i
\(394\) −13.7481 25.9317i −0.692619 1.30642i
\(395\) 13.4112 8.40270i 0.674790 0.422786i
\(396\) 8.90424 26.4268i 0.447455 1.32800i
\(397\) −26.8973 25.4785i −1.34994 1.27873i −0.928234 0.371997i \(-0.878673\pi\)
−0.421705 0.906733i \(-0.638568\pi\)
\(398\) 27.8077 + 1.00458i 1.39388 + 0.0503551i
\(399\) 20.8637 0.376737i 1.04449 0.0188604i
\(400\) 36.5860 + 29.9563i 1.82930 + 1.49782i
\(401\) −3.63806 10.7974i −0.181676 0.539195i 0.817657 0.575705i \(-0.195272\pi\)
−0.999333 + 0.0365102i \(0.988376\pi\)
\(402\) −22.8962 + 49.4892i −1.14196 + 2.46830i
\(403\) 15.1232 4.79337i 0.753342 0.238775i
\(404\) 75.2924 + 6.81560i 3.74594 + 0.339089i
\(405\) 12.5211 + 11.0308i 0.622177 + 0.548123i
\(406\) −19.0243 + 0.687273i −0.944162 + 0.0341088i
\(407\) 1.70979 0.0927023i 0.0847513 0.00459508i
\(408\) −13.4620 73.7485i −0.666468 3.65110i
\(409\) −2.24642 + 13.7026i −0.111078 + 0.677548i 0.871315 + 0.490724i \(0.163268\pi\)
−0.982393 + 0.186824i \(0.940181\pi\)
\(410\) 33.7673 + 35.6477i 1.66765 + 1.76051i
\(411\) −16.7591 + 19.0233i −0.826663 + 0.938348i
\(412\) 18.2552 6.52019i 0.899368 0.321227i
\(413\) 4.29808 + 26.2172i 0.211495 + 1.29006i
\(414\) 13.2574 17.4398i 0.651564 0.857117i
\(415\) 6.15338 22.1625i 0.302058 1.08791i
\(416\) −64.5797 + 162.083i −3.16628 + 7.94676i
\(417\) 4.17928 + 17.4775i 0.204660 + 0.855875i
\(418\) −14.4222 + 21.2711i −0.705412 + 1.04041i
\(419\) 1.52566 12.0071i 0.0745334 0.586585i −0.910410 0.413707i \(-0.864234\pi\)
0.984943 0.172878i \(-0.0553066\pi\)
\(420\) 11.0834 60.7179i 0.540814 2.96273i
\(421\) −19.1920 6.85479i −0.935360 0.334082i −0.175731 0.984438i \(-0.556229\pi\)
−0.759629 + 0.650356i \(0.774620\pi\)
\(422\) −50.4788 + 27.9411i −2.45727 + 1.36015i
\(423\) 0.183705 + 5.08513i 0.00893205 + 0.247247i
\(424\) 0.856376 0.396202i 0.0415893 0.0192413i
\(425\) 7.92776 + 5.58671i 0.384553 + 0.270995i
\(426\) 14.6255 61.1626i 0.708605 2.96334i
\(427\) −9.51721 10.4176i −0.460570 0.504145i
\(428\) −16.4482 35.5521i −0.795052 1.71848i
\(429\) −33.1620 + 31.4127i −1.60108 + 1.51662i
\(430\) 13.0237 11.4736i 0.628058 0.553305i
\(431\) 22.7174 16.6308i 1.09426 0.801080i 0.112967 0.993599i \(-0.463965\pi\)
0.981293 + 0.192519i \(0.0616658\pi\)
\(432\) −49.3382 20.6980i −2.37379 0.995832i
\(433\) 18.6991 + 5.92675i 0.898621 + 0.284821i 0.715784 0.698322i \(-0.246070\pi\)
0.182837 + 0.983143i \(0.441472\pi\)
\(434\) 15.4916 16.9573i 0.743623 0.813977i
\(435\) −3.51796 5.18860i −0.168673 0.248774i
\(436\) −31.2936 + 15.8738i −1.49869 + 0.760216i
\(437\) −11.8857 + 9.03530i −0.568572 + 0.432217i
\(438\) 33.4952 16.2370i 1.60046 0.775834i
\(439\) −3.32969 12.8910i −0.158917 0.615252i −0.997512 0.0704957i \(-0.977542\pi\)
0.838595 0.544756i \(-0.183378\pi\)
\(440\) 34.5035 + 35.1322i 1.64489 + 1.67486i
\(441\) 7.01836 2.36476i 0.334208 0.112608i
\(442\) −19.1578 + 60.4436i −0.911245 + 2.87501i
\(443\) −9.43201 + 15.0540i −0.448128 + 0.715238i −0.992317 0.123725i \(-0.960516\pi\)
0.544188 + 0.838963i \(0.316838\pi\)
\(444\) −0.114442 + 6.33780i −0.00543119 + 0.300779i
\(445\) −0.553225 0.848534i −0.0262254 0.0402244i
\(446\) 14.9171 + 1.89541i 0.706343 + 0.0897502i
\(447\) 9.16702 + 2.54521i 0.433585 + 0.120384i
\(448\) 19.5788 + 134.604i 0.925009 + 6.35946i
\(449\) 8.91961 + 1.96335i 0.420942 + 0.0926564i 0.420390 0.907343i \(-0.361893\pi\)
0.000552101 1.00000i \(0.499824\pi\)
\(450\) −10.8678 + 4.33014i −0.512315 + 0.204125i
\(451\) −23.5453 30.9734i −1.10871 1.45848i
\(452\) −8.47105 + 8.94278i −0.398445 + 0.420633i
\(453\) 1.61069 + 17.7934i 0.0756767 + 0.836006i
\(454\) 10.6324 + 35.7756i 0.499001 + 1.67903i
\(455\) −20.9481 + 26.5479i −0.982061 + 1.24458i
\(456\) −48.3817 38.1764i −2.26568 1.78778i
\(457\) 31.3885 2.27084i 1.46829 0.106225i 0.685301 0.728260i \(-0.259671\pi\)
0.782990 + 0.622035i \(0.213694\pi\)
\(458\) 17.4535 23.8411i 0.815547 1.11402i
\(459\) −10.3995 3.50399i −0.485406 0.163552i
\(460\) 19.2631 + 39.7378i 0.898147 + 1.85278i
\(461\) −4.19420 5.95174i −0.195343 0.277200i 0.707915 0.706298i \(-0.249636\pi\)
−0.903258 + 0.429098i \(0.858832\pi\)
\(462\) −18.8394 + 63.3905i −0.876487 + 2.94919i
\(463\) 21.9641 + 4.42049i 1.02076 + 0.205437i 0.678835 0.734290i \(-0.262485\pi\)
0.341923 + 0.939728i \(0.388922\pi\)
\(464\) 26.7626 + 20.3444i 1.24242 + 0.944465i
\(465\) 7.44047 + 1.35818i 0.345044 + 0.0629840i
\(466\) 28.2820 + 12.4698i 1.31014 + 0.577652i
\(467\) 0.514146 9.48287i 0.0237919 0.438815i −0.962234 0.272223i \(-0.912241\pi\)
0.986026 0.166592i \(-0.0532762\pi\)
\(468\) −35.8336 43.7640i −1.65641 2.02299i
\(469\) 12.3746 29.4975i 0.571404 1.36207i
\(470\) −12.5883 5.82398i −0.580656 0.268640i
\(471\) 15.7144 + 27.2181i 0.724079 + 1.25414i
\(472\) 39.2323 67.9523i 1.80581 3.12776i
\(473\) −11.2420 + 7.92226i −0.516908 + 0.364266i
\(474\) −23.2346 58.3144i −1.06720 2.67847i
\(475\) 7.92630 0.862037i 0.363683 0.0395530i
\(476\) 14.5939 + 66.3006i 0.668909 + 3.03888i
\(477\) −0.0100720 + 0.139220i −0.000461167 + 0.00637443i
\(478\) 49.0287 + 30.7187i 2.24252 + 1.40504i
\(479\) 15.2972 12.5252i 0.698947 0.572292i −0.215742 0.976450i \(-0.569217\pi\)
0.914689 + 0.404158i \(0.132436\pi\)
\(480\) −63.3965 + 53.8495i −2.89364 + 2.45788i
\(481\) 1.68195 3.03863i 0.0766904 0.138550i
\(482\) 1.52992 + 0.250818i 0.0696861 + 0.0114244i
\(483\) −22.1306 + 31.4043i −1.00698 + 1.42894i
\(484\) 1.38285 + 1.75250i 0.0628567 + 0.0796593i
\(485\) 2.11957i 0.0962449i
\(486\) 31.2848 24.6858i 1.41911 1.11977i
\(487\) 3.93625 3.59603i 0.178368 0.162952i −0.580357 0.814362i \(-0.697087\pi\)
0.758725 + 0.651411i \(0.225823\pi\)
\(488\) 2.25621 + 41.6133i 0.102134 + 1.88374i
\(489\) 6.88220 18.2232i 0.311224 0.824080i
\(490\) −2.90580 + 19.9775i −0.131271 + 0.902490i
\(491\) 15.2958 34.6915i 0.690289 1.56560i −0.128628 0.991693i \(-0.541057\pi\)
0.818917 0.573912i \(-0.194575\pi\)
\(492\) 120.652 78.6623i 5.43941 3.54637i
\(493\) 5.77593 + 3.76577i 0.260135 + 0.169602i
\(494\) 21.0296 + 47.6960i 0.946166 + 2.14595i
\(495\) −7.01878 + 1.94875i −0.315471 + 0.0875900i
\(496\) −40.1378 + 5.83820i −1.80224 + 0.262143i
\(497\) −7.27871 + 36.1658i −0.326495 + 1.62226i
\(498\) −82.0938 39.7955i −3.67871 1.78328i
\(499\) −34.1711 + 6.87726i −1.52971 + 0.307869i −0.888276 0.459311i \(-0.848097\pi\)
−0.641433 + 0.767179i \(0.721660\pi\)
\(500\) 5.92283 65.4300i 0.264877 2.92612i
\(501\) −10.2746 11.6627i −0.459035 0.521053i
\(502\) −54.7099 30.2832i −2.44182 1.35160i
\(503\) −0.481459 + 0.949149i −0.0214672 + 0.0423204i −0.902307 0.431093i \(-0.858128\pi\)
0.880840 + 0.473414i \(0.156978\pi\)
\(504\) −49.6263 18.7420i −2.21053 0.834833i
\(505\) −9.56344 17.2774i −0.425568 0.768835i
\(506\) −15.9150 44.5587i −0.707508 1.98088i
\(507\) 12.8341 + 63.7690i 0.569984 + 2.83208i
\(508\) 10.4269 40.3681i 0.462621 1.79105i
\(509\) −4.81926 + 2.78240i −0.213610 + 0.123328i −0.602988 0.797750i \(-0.706023\pi\)
0.389378 + 0.921078i \(0.372690\pi\)
\(510\) −21.5672 + 21.1813i −0.955012 + 0.937923i
\(511\) −19.2924 + 10.2282i −0.853445 + 0.452468i
\(512\) 52.4655 87.1983i 2.31867 3.85366i
\(513\) −8.31916 + 3.48999i −0.367300 + 0.154087i
\(514\) −8.12731 + 0.735698i −0.358480 + 0.0324502i
\(515\) −4.08567 2.99101i −0.180036 0.131800i
\(516\) −26.2482 43.6249i −1.15551 1.92048i
\(517\) 9.41718 + 5.66613i 0.414167 + 0.249196i
\(518\) −0.0907795 5.02736i −0.00398862 0.220889i
\(519\) −31.7573 + 21.5320i −1.39399 + 0.945149i
\(520\) 97.5425 21.4707i 4.27752 0.941554i
\(521\) −4.60021 12.1808i −0.201539 0.533649i 0.795880 0.605455i \(-0.207009\pi\)
−0.997419 + 0.0718060i \(0.977124\pi\)
\(522\) −7.61026 + 3.35543i −0.333092 + 0.146863i
\(523\) 34.5263 8.25606i 1.50973 0.361012i 0.608217 0.793770i \(-0.291885\pi\)
0.901510 + 0.432758i \(0.142460\pi\)
\(524\) −103.025 + 24.6358i −4.50068 + 1.07622i
\(525\) 18.7728 8.27708i 0.819311 0.361241i
\(526\) 0.486839 + 1.28909i 0.0212272 + 0.0562069i
\(527\) −8.12460 + 1.78836i −0.353913 + 0.0779021i
\(528\) 96.6589 65.5364i 4.20654 2.85211i
\(529\) −0.0810266 4.48724i −0.00352289 0.195098i
\(530\) −0.326019 0.196159i −0.0141614 0.00852061i
\(531\) 5.98412 + 9.94569i 0.259689 + 0.431606i
\(532\) 45.0324 + 32.9671i 1.95240 + 1.42930i
\(533\) −78.5934 + 7.11441i −3.40426 + 0.308159i
\(534\) −3.70497 + 1.55428i −0.160330 + 0.0672601i
\(535\) −5.27531 + 8.76764i −0.228072 + 0.379058i
\(536\) −83.4697 + 44.2528i −3.60534 + 1.91143i
\(537\) 19.6897 19.3373i 0.849671 0.834467i
\(538\) 37.9732 21.9239i 1.63714 0.945205i
\(539\) 4.00044 15.4878i 0.172311 0.667106i
\(540\) 5.26488 + 26.1596i 0.226564 + 1.12573i
\(541\) −11.0701 30.9938i −0.475939 1.33253i −0.903517 0.428551i \(-0.859024\pi\)
0.427579 0.903978i \(-0.359367\pi\)
\(542\) 18.9213 + 34.1834i 0.812738 + 1.46830i
\(543\) −7.74763 2.92599i −0.332483 0.125566i
\(544\) 41.3885 81.5934i 1.77452 3.49829i
\(545\) 8.01920 + 4.43881i 0.343505 + 0.190138i
\(546\) 88.6677 + 100.647i 3.79463 + 4.30729i
\(547\) −2.61082 + 28.8419i −0.111631 + 1.23319i 0.726285 + 0.687393i \(0.241245\pi\)
−0.837916 + 0.545799i \(0.816226\pi\)
\(548\) −66.4736 + 13.3784i −2.83961 + 0.571499i
\(549\) −5.54741 2.68914i −0.236758 0.114770i
\(550\) −4.98540 + 24.7710i −0.212578 + 1.05624i
\(551\) 5.60937 0.815905i 0.238967 0.0347587i
\(552\) 109.331 30.3557i 4.65346 1.29203i
\(553\) 14.8561 + 33.6942i 0.631745 + 1.43282i
\(554\) 42.5437 + 27.7376i 1.80751 + 1.17846i
\(555\) 1.38702 0.904304i 0.0588756 0.0383856i
\(556\) −19.3899 + 43.9772i −0.822317 + 1.86505i
\(557\) 3.14668 21.6335i 0.133329 0.916641i −0.810389 0.585892i \(-0.800744\pi\)
0.943719 0.330750i \(-0.107302\pi\)
\(558\) 3.54536 9.38766i 0.150087 0.397411i
\(559\) 1.51022 + 27.8544i 0.0638755 + 1.17811i
\(560\) 63.8316 58.3144i 2.69738 2.46423i
\(561\) 18.8036 14.8373i 0.793889 0.626433i
\(562\) 10.1141i 0.426637i
\(563\) −16.5279 20.9460i −0.696567 0.882771i 0.300918 0.953650i \(-0.402707\pi\)
−0.997485 + 0.0708792i \(0.977420\pi\)
\(564\) −23.4365 + 33.2573i −0.986854 + 1.40039i
\(565\) 3.17520 + 0.520547i 0.133582 + 0.0218996i
\(566\) 41.4528 74.8891i 1.74239 3.14782i
\(567\) −29.5925 + 25.1361i −1.24277 + 1.05562i
\(568\) 84.3016 69.0255i 3.53722 2.89625i
\(569\) −12.8002 8.01989i −0.536612 0.336211i 0.235318 0.971918i \(-0.424387\pi\)
−0.771930 + 0.635707i \(0.780709\pi\)
\(570\) −1.79319 + 24.7862i −0.0751085 + 1.03818i
\(571\) 2.52440 + 11.4685i 0.105643 + 0.479940i 0.999501 + 0.0315902i \(0.0100571\pi\)
−0.893858 + 0.448350i \(0.852012\pi\)
\(572\) −121.452 + 13.2087i −5.07815 + 0.552282i
\(573\) 20.2976 + 50.9431i 0.847943 + 2.12818i
\(574\) −93.3901 + 65.8122i −3.89803 + 2.74695i
\(575\) −7.33963 + 12.7126i −0.306084 + 0.530153i
\(576\) 29.7137 + 51.4657i 1.23807 + 2.14440i
\(577\) −22.3386 10.3350i −0.929970 0.430250i −0.104391 0.994536i \(-0.533289\pi\)
−0.825579 + 0.564287i \(0.809151\pi\)
\(578\) −5.36099 + 12.7791i −0.222988 + 0.531541i
\(579\) 10.6171 + 12.9668i 0.441233 + 0.538883i
\(580\) 0.907699 16.7415i 0.0376902 0.695154i
\(581\) 48.9696 + 21.5911i 2.03160 + 0.895750i
\(582\) 8.27044 + 1.50968i 0.342821 + 0.0625782i
\(583\) 0.240008 + 0.182449i 0.00994011 + 0.00755628i
\(584\) 63.2237 + 12.7244i 2.61622 + 0.526539i
\(585\) −4.20905 + 14.1625i −0.174023 + 0.585549i
\(586\) 4.39545 + 6.23733i 0.181575 + 0.257662i
\(587\) 1.65635 + 3.41688i 0.0683651 + 0.141030i 0.931262 0.364350i \(-0.118709\pi\)
−0.862897 + 0.505380i \(0.831352\pi\)
\(588\) 56.1167 + 18.9079i 2.31421 + 0.779749i
\(589\) −4.03984 + 5.51835i −0.166459 + 0.227380i
\(590\) −31.5568 + 2.28302i −1.29917 + 0.0939904i
\(591\) 17.6545 + 13.9306i 0.726209 + 0.573028i
\(592\) −5.50031 + 6.97064i −0.226061 + 0.286491i
\(593\) −4.13011 13.8969i −0.169603 0.570679i −0.999911 0.0133732i \(-0.995743\pi\)
0.830307 0.557306i \(-0.188165\pi\)
\(594\) −2.57753 28.4742i −0.105757 1.16831i
\(595\) 12.1950 12.8741i 0.499946 0.527787i
\(596\) 15.3987 + 20.2567i 0.630756 + 0.829745i
\(597\) −19.8062 + 7.89150i −0.810613 + 0.322978i
\(598\) −93.7268 20.6308i −3.83277 0.843657i
\(599\) −5.39449 37.0873i −0.220413 1.51534i −0.746771 0.665081i \(-0.768397\pi\)
0.526358 0.850263i \(-0.323557\pi\)
\(600\) −58.3857 16.2107i −2.38359 0.661800i
\(601\) 2.73265 + 0.347219i 0.111467 + 0.0141633i 0.181584 0.983375i \(-0.441878\pi\)
−0.0701171 + 0.997539i \(0.522337\pi\)
\(602\) 22.0567 + 33.8305i 0.898965 + 1.37883i
\(603\) 0.252317 13.9733i 0.0102751 0.569036i
\(604\) −25.3703 + 40.4925i −1.03230 + 1.64761i
\(605\) 0.176185 0.555870i 0.00716294 0.0225993i
\(606\) −74.2270 + 25.0100i −3.01527 + 1.01596i
\(607\) −7.55713 7.69482i −0.306734 0.312323i 0.542794 0.839866i \(-0.317366\pi\)
−0.849529 + 0.527543i \(0.823114\pi\)
\(608\) −18.8100 72.8234i −0.762847 2.95338i
\(609\) 13.1253 6.36256i 0.531863 0.257824i
\(610\) 13.3778 10.1696i 0.541653 0.411754i
\(611\) 19.8804 10.0844i 0.804276 0.407972i
\(612\) 16.6449 + 24.5494i 0.672830 + 0.992350i
\(613\) −10.7745 + 11.7939i −0.435178 + 0.476350i −0.916409 0.400244i \(-0.868925\pi\)
0.481231 + 0.876594i \(0.340190\pi\)
\(614\) 7.13453 + 2.26132i 0.287926 + 0.0912593i
\(615\) −34.6930 14.5541i −1.39896 0.586879i
\(616\) −92.4497 + 67.6801i −3.72491 + 2.72691i
\(617\) 15.6912 13.8235i 0.631702 0.556515i −0.283772 0.958892i \(-0.591586\pi\)
0.915474 + 0.402377i \(0.131816\pi\)
\(618\) −14.5808 + 13.8116i −0.586525 + 0.555586i
\(619\) −12.6559 27.3553i −0.508684 1.09950i −0.976469 0.215660i \(-0.930810\pi\)
0.467785 0.883843i \(-0.345052\pi\)
\(620\) 13.6439 + 14.9347i 0.547951 + 0.599792i
\(621\) 3.86288 16.1543i 0.155012 0.648248i
\(622\) 23.3131 + 16.4288i 0.934771 + 0.658734i
\(623\) 2.13909 0.989646i 0.0857006 0.0396493i
\(624\) −8.55155 236.715i −0.342336 9.47617i
\(625\) −2.76622 + 1.53117i −0.110649 + 0.0612467i
\(626\) −52.4677 18.7399i −2.09703 0.748996i
\(627\) 3.53597 19.3710i 0.141213 0.773605i
\(628\) −10.5954 + 83.3871i −0.422803 + 3.32751i
\(629\) −1.02204 + 1.50739i −0.0407512 + 0.0601035i
\(630\) 4.97469 + 20.8038i 0.198196 + 0.828843i
\(631\) 3.22617 8.09707i 0.128432 0.322339i −0.850673 0.525695i \(-0.823805\pi\)
0.979105 + 0.203355i \(0.0651847\pi\)
\(632\) 29.0957 104.793i 1.15737 4.16846i
\(633\) 26.7530 35.1929i 1.06334 1.39879i
\(634\) 8.41723 + 51.3428i 0.334291 + 2.03908i
\(635\) −10.2561 + 3.66317i −0.407001 + 0.145368i
\(636\) −0.737766 + 0.837441i −0.0292543 + 0.0332067i
\(637\) −22.3124 23.5549i −0.884050 0.933280i
\(638\) −2.90624 + 17.7273i −0.115059 + 0.701831i
\(639\) 2.89428 + 15.8556i 0.114496 + 0.627239i
\(640\) −83.5129 + 4.52794i −3.30114 + 0.178983i
\(641\) 19.2948 0.697044i 0.762100 0.0275316i 0.347675 0.937615i \(-0.386971\pi\)
0.414425 + 0.910083i \(0.363983\pi\)
\(642\) 30.4534 + 26.8288i 1.20190 + 1.05885i
\(643\) 45.9037 + 4.15528i 1.81027 + 0.163868i 0.942741 0.333525i \(-0.108238\pi\)
0.867525 + 0.497393i \(0.165709\pi\)
\(644\) −97.9501 + 31.0456i −3.85977 + 1.22337i
\(645\) −5.58408 + 12.0698i −0.219873 + 0.475248i
\(646\) −8.72775 25.9030i −0.343389 1.01914i
\(647\) −5.57806 4.56727i −0.219296 0.179558i 0.517479 0.855696i \(-0.326871\pi\)
−0.736775 + 0.676138i \(0.763652\pi\)
\(648\) 114.655 2.07034i 4.50407 0.0813305i
\(649\) 25.0536 + 0.905087i 0.983441 + 0.0355278i
\(650\) 37.2077 + 35.2450i 1.45941 + 1.38242i
\(651\) −5.61922 + 16.6773i −0.220235 + 0.653633i
\(652\) 44.1489 27.6612i 1.72900 1.08330i
\(653\) 15.1941 + 28.6591i 0.594591 + 1.12152i 0.980042 + 0.198790i \(0.0637010\pi\)
−0.385451 + 0.922728i \(0.625954\pi\)
\(654\) 23.0317 28.1289i 0.900610 1.09993i
\(655\) 20.4286 + 18.6629i 0.798211 + 0.729219i
\(656\) 201.230 + 14.5582i 7.85670 + 0.568404i
\(657\) −6.17616 + 7.27114i −0.240955 + 0.283674i
\(658\) 17.6261 27.0348i 0.687137 1.05393i
\(659\) 32.8826 + 22.2950i 1.28092 + 0.868489i 0.995938 0.0900428i \(-0.0287004\pi\)
0.284987 + 0.958531i \(0.408011\pi\)
\(660\) −54.1063 21.5579i −2.10609 0.839141i
\(661\) −10.3544 37.2932i −0.402740 1.45054i −0.835731 0.549140i \(-0.814956\pi\)
0.432991 0.901398i \(-0.357458\pi\)
\(662\) −41.6266 4.52717i −1.61786 0.175953i
\(663\) −5.25275 48.2982i −0.204000 1.87575i
\(664\) −71.5047 140.965i −2.77492 5.47048i
\(665\) 0.526307 14.5687i 0.0204093 0.564948i
\(666\) −0.849835 2.02577i −0.0329304 0.0784971i
\(667\) −4.88838 + 9.22047i −0.189279 + 0.357018i
\(668\) −2.99964 41.4623i −0.116060 1.60422i
\(669\) −11.0441 + 3.28225i −0.426988 + 0.126899i
\(670\) 33.6575 + 17.8441i 1.30030 + 0.689377i
\(671\) −11.4093 + 6.86473i −0.440450 + 0.265010i
\(672\) −102.759 164.009i −3.96402 6.32680i
\(673\) −29.3181 + 7.57276i −1.13013 + 0.291909i −0.768145 0.640276i \(-0.778820\pi\)
−0.361984 + 0.932184i \(0.617901\pi\)
\(674\) 33.8601 + 19.5491i 1.30424 + 0.753004i
\(675\) −6.21516 + 6.32840i −0.239222 + 0.243580i
\(676\) −75.8881 + 156.549i −2.91877 + 6.02112i
\(677\) 5.88490 0.964781i 0.226175 0.0370796i −0.0476286 0.998865i \(-0.515166\pi\)
0.273804 + 0.961786i \(0.411718\pi\)
\(678\) 4.29269 12.0187i 0.164860 0.461574i
\(679\) −4.88045 0.709880i −0.187294 0.0272427i
\(680\) −51.9558 + 6.60167i −1.99241 + 0.253163i
\(681\) −18.5130 21.7952i −0.709420 0.835194i
\(682\) −12.8028 17.4885i −0.490246 0.669667i
\(683\) −13.9332 43.9598i −0.533140 1.68208i −0.715308 0.698809i \(-0.753714\pi\)
0.182168 0.983267i \(-0.441689\pi\)
\(684\) 23.6085 + 6.09799i 0.902693 + 0.233163i
\(685\) 12.6367 + 12.4106i 0.482823 + 0.474183i
\(686\) 19.1454 + 5.68993i 0.730974 + 0.217242i
\(687\) −4.86674 + 22.1098i −0.185678 + 0.843543i
\(688\) 7.71082 70.8999i 0.293972 2.70303i
\(689\) 0.572062 0.216046i 0.0217938 0.00823070i
\(690\) −34.8715 29.6202i −1.32754 1.12762i
\(691\) 14.8896 + 0.268863i 0.566427 + 0.0102280i 0.300528 0.953773i \(-0.402837\pi\)
0.265899 + 0.964001i \(0.414331\pi\)
\(692\) −102.468 5.55566i −3.89525 0.211194i
\(693\) −2.13642 16.8138i −0.0811558 0.638704i
\(694\) 17.0032 + 8.62493i 0.645433 + 0.327398i
\(695\) 12.3503 2.25441i 0.468473 0.0855146i
\(696\) −41.8981 10.0188i −1.58814 0.379763i
\(697\) 41.3811 1.56742
\(698\) −41.2142 + 31.3241i −1.55998 + 1.18564i
\(699\) −23.6828 −0.895764
\(700\) 53.3677 + 12.7615i 2.01711 + 0.482340i
\(701\) 34.3316 6.26686i 1.29669 0.236696i 0.513288 0.858216i \(-0.328427\pi\)
0.783398 + 0.621521i \(0.213485\pi\)
\(702\) −51.7174 26.2338i −1.95195 0.990131i
\(703\) 0.188721 + 1.48525i 0.00711774 + 0.0560173i
\(704\) 128.167 + 6.94903i 4.83049 + 0.261901i
\(705\) 10.6258 + 0.191871i 0.400191 + 0.00722628i
\(706\) −33.6300 28.5655i −1.26568 1.07508i
\(707\) 42.9852 16.2339i 1.61663 0.610539i
\(708\) −10.0342 + 92.2633i −0.377110 + 3.46747i
\(709\) −0.524269 + 2.38178i −0.0196893 + 0.0894496i −0.985441 0.170020i \(-0.945617\pi\)
0.965751 + 0.259470i \(0.0835478\pi\)
\(710\) −42.1136 12.5160i −1.58049 0.469716i
\(711\) 11.4784 + 11.2730i 0.430475 + 0.422772i
\(712\) −6.73984 1.74088i −0.252586 0.0652422i
\(713\) −3.80439 12.0030i −0.142475 0.449515i
\(714\) −41.5480 56.7538i −1.55489 2.12396i
\(715\) 20.6591 + 24.3218i 0.772607 + 0.909584i
\(716\) 73.2217 9.30378i 2.73642 0.347699i
\(717\) −43.8690 6.38092i −1.63832 0.238300i
\(718\) 7.36053 20.6079i 0.274692 0.769082i
\(719\) −33.0861 + 5.42418i −1.23390 + 0.202288i −0.743218 0.669050i \(-0.766701\pi\)
−0.490684 + 0.871338i \(0.663253\pi\)
\(720\) 16.4771 33.9905i 0.614065 1.26675i
\(721\) 8.25534 8.40575i 0.307445 0.313047i
\(722\) 26.1353 + 15.0892i 0.972654 + 0.561562i
\(723\) −1.15014 + 0.297077i −0.0427742 + 0.0110484i
\(724\) −11.7603 18.7700i −0.437066 0.697582i
\(725\) 4.77541 2.87327i 0.177354 0.106710i
\(726\) −2.04348 1.08338i −0.0758407 0.0402082i
\(727\) 22.1516 6.58337i 0.821559 0.244164i 0.153383 0.988167i \(-0.450983\pi\)
0.668176 + 0.744003i \(0.267075\pi\)
\(728\) 16.7690 + 231.788i 0.621502 + 8.59065i
\(729\) 1.50611 2.84083i 0.0557820 0.105216i
\(730\) −10.0600 23.9802i −0.372337 0.887548i
\(731\) 0.528094 14.6181i 0.0195323 0.540671i
\(732\) −22.2988 43.9600i −0.824189 1.62481i
\(733\) 5.41329 + 49.7744i 0.199945 + 1.83846i 0.478557 + 0.878056i \(0.341160\pi\)
−0.278613 + 0.960403i \(0.589875\pi\)
\(734\) −98.5177 10.7144i −3.63636 0.395477i
\(735\) −4.13812 14.9042i −0.152637 0.549749i
\(736\) 128.641 + 51.2554i 4.74179 + 1.88930i
\(737\) −24.9841 16.9396i −0.920301 0.623980i
\(738\) −27.2615 + 41.8136i −1.00351 + 1.53918i
\(739\) 16.4905 19.4141i 0.606613 0.714160i −0.370032 0.929019i \(-0.620653\pi\)
0.976645 + 0.214859i \(0.0689292\pi\)
\(740\) 4.41689 + 0.319546i 0.162368 + 0.0117467i
\(741\) −29.4872 26.9385i −1.08324 0.989610i
\(742\) 0.560857 0.684981i 0.0205897 0.0251465i
\(743\) −16.9851 32.0372i −0.623122 1.17533i −0.971290 0.237900i \(-0.923541\pi\)
0.348168 0.937432i \(-0.386804\pi\)
\(744\) 44.0451 27.5962i 1.61477 1.01173i
\(745\) 2.12225 6.29861i 0.0777532 0.230763i
\(746\) 52.9377 + 50.1453i 1.93819 + 1.83595i
\(747\) 23.3668 + 0.844149i 0.854947 + 0.0308858i
\(748\) 64.0516 1.15659i 2.34196 0.0422890i
\(749\) −18.4212 15.0832i −0.673097 0.551127i
\(750\) 21.7340 + 64.5041i 0.793612 + 2.35536i
\(751\) −17.3034 + 37.4007i −0.631410 + 1.36477i 0.282662 + 0.959220i \(0.408783\pi\)
−0.914072 + 0.405551i \(0.867080\pi\)
\(752\) −54.3284 + 17.2196i −1.98115 + 0.627934i
\(753\) 47.7174 + 4.31946i 1.73892 + 0.157410i
\(754\) 27.3401 + 24.0860i 0.995666 + 0.877159i
\(755\) 12.4735 0.450618i 0.453958 0.0163997i
\(756\) −61.9974 + 3.36140i −2.25482 + 0.122253i
\(757\) −4.26225 23.3498i −0.154914 0.848663i −0.964980 0.262324i \(-0.915511\pi\)
0.810066 0.586339i \(-0.199431\pi\)
\(758\) −0.730553 + 4.45617i −0.0265349 + 0.161856i
\(759\) 24.9316 + 26.3199i 0.904959 + 0.955354i
\(760\) −28.4617 + 32.3069i −1.03241 + 1.17189i
\(761\) 12.5730 4.49068i 0.455770 0.162787i −0.0984770 0.995139i \(-0.531397\pi\)
0.554247 + 0.832352i \(0.313006\pi\)
\(762\) 6.98848 + 42.6278i 0.253166 + 1.54424i
\(763\) −12.9064 + 16.9781i −0.467243 + 0.614647i
\(764\) −39.2374 + 141.320i −1.41956 + 5.11279i
\(765\) 2.86767 7.19730i 0.103681 0.260219i
\(766\) −14.9985 62.7228i −0.541919 2.26627i
\(767\) 28.5361 42.0876i 1.03038 1.51970i
\(768\) −20.7199 + 163.068i −0.747665 + 5.88420i
\(769\) −0.261468 + 1.43240i −0.00942879 + 0.0516535i −0.988120 0.153683i \(-0.950886\pi\)
0.978691 + 0.205337i \(0.0658290\pi\)
\(770\) 43.5084 + 15.5399i 1.56793 + 0.560018i
\(771\) 5.47054 3.02806i 0.197017 0.109053i
\(772\) 1.61820 + 44.7933i 0.0582404 + 1.61215i
\(773\) −4.75008 + 2.19762i −0.170849 + 0.0790430i −0.503449 0.864025i \(-0.667936\pi\)
0.332601 + 0.943068i \(0.392074\pi\)
\(774\) 14.4230 + 10.1639i 0.518424 + 0.365334i
\(775\) −1.56382 + 6.53978i −0.0561740 + 0.234916i
\(776\) 9.82435 + 10.7538i 0.352674 + 0.386040i
\(777\) 1.61768 + 3.49656i 0.0580339 + 0.125438i
\(778\) 18.9225 17.9243i 0.678403 0.642617i
\(779\) 25.5262 22.4880i 0.914569 0.805715i
\(780\) −95.3215 + 69.7824i −3.41306 + 2.49861i
\(781\) 32.1016 + 13.4670i 1.14869 + 0.481887i
\(782\) 47.9727 + 15.2051i 1.71550 + 0.543735i
\(783\) −4.25333 + 4.65574i −0.152002 + 0.166382i
\(784\) 46.5504 + 68.6566i 1.66251 + 2.45202i
\(785\) 19.5816 9.93281i 0.698896 0.354517i
\(786\) 87.3718 66.4183i 3.11645 2.36906i
\(787\) −20.7100 + 10.0393i −0.738230 + 0.357862i −0.766934 0.641726i \(-0.778219\pi\)
0.0287034 + 0.999588i \(0.490862\pi\)
\(788\) 15.0421 + 58.2358i 0.535853 + 2.07456i
\(789\) −0.739794 0.753273i −0.0263373 0.0268172i
\(790\) −41.5587 + 14.0028i −1.47859 + 0.498196i
\(791\) −2.26202 + 7.13674i −0.0804280 + 0.253753i
\(792\) −26.5778 + 42.4196i −0.944400 + 1.50732i
\(793\) −0.487596 + 27.0030i −0.0173150 + 0.958905i
\(794\) 56.0697 + 85.9995i 1.98984 + 3.05201i
\(795\) 0.289204 + 0.0367471i 0.0102570 + 0.00130329i
\(796\) −54.9440 15.2551i −1.94744 0.540703i
\(797\) 5.14042 + 35.3405i 0.182083 + 1.25183i 0.857537 + 0.514423i \(0.171994\pi\)
−0.675453 + 0.737403i \(0.736052\pi\)
\(798\) −56.4711 12.4302i −1.99906 0.440025i
\(799\) −10.8591 + 4.32667i −0.384168 + 0.153067i
\(800\) −44.7526 58.8710i −1.58224 2.08140i
\(801\) 0.708151 0.747586i 0.0250213 0.0264146i
\(802\) 2.84635 + 31.4438i 0.100508 + 1.11032i
\(803\) 5.87010 + 19.7516i 0.207151 + 0.697020i
\(804\) 69.2198 87.7234i 2.44119 3.09377i
\(805\) 21.0704 + 16.6260i 0.742635 + 0.585990i
\(806\) −43.8468 + 3.17215i −1.54444 + 0.111734i
\(807\) −19.8455 + 27.1087i −0.698596 + 0.954270i
\(808\) −128.603 43.3313i −4.52423 1.52439i
\(809\) −2.59703 5.35739i −0.0913066 0.188356i 0.849252 0.527988i \(-0.177054\pi\)
−0.940558 + 0.339633i \(0.889697\pi\)
\(810\) −26.6360 37.7975i −0.935892 1.32807i
\(811\) −10.5693 + 35.5633i −0.371137 + 1.24880i 0.541735 + 0.840549i \(0.317768\pi\)
−0.912872 + 0.408246i \(0.866140\pi\)
\(812\) 38.2444 + 7.69705i 1.34211 + 0.270113i
\(813\) −23.8321 18.1167i −0.835827 0.635379i
\(814\) −4.66769 0.852037i −0.163603 0.0298639i
\(815\) −12.4521 5.49024i −0.436178 0.192315i
\(816\) −6.72453 + 124.027i −0.235406 + 4.34180i
\(817\) −7.61825 9.30425i −0.266529 0.325515i
\(818\) 14.8848 35.4812i 0.520434 1.24057i
\(819\) −31.2004 14.4349i −1.09023 0.504395i
\(820\) −50.3111 87.1414i −1.75694 3.04311i
\(821\) −14.5943 + 25.2781i −0.509345 + 0.882212i 0.490596 + 0.871387i \(0.336779\pi\)
−0.999941 + 0.0108249i \(0.996554\pi\)
\(822\) 57.4258 40.4680i 2.00295 1.41148i
\(823\) −10.7565 26.9968i −0.374948 0.941049i −0.988476 0.151376i \(-0.951630\pi\)
0.613528 0.789673i \(-0.289750\pi\)
\(824\) −34.5925 + 3.76216i −1.20509 + 0.131061i
\(825\) −4.16190 18.9077i −0.144899 0.658281i
\(826\) 5.31211 73.4261i 0.184832 2.55482i
\(827\) 7.17031 + 4.49251i 0.249336 + 0.156220i 0.649831 0.760079i \(-0.274840\pi\)
−0.400495 + 0.916299i \(0.631162\pi\)
\(828\) −34.7345 + 28.4403i −1.20711 + 0.988369i
\(829\) −14.8938 + 12.6509i −0.517283 + 0.439384i −0.867612 0.497243i \(-0.834346\pi\)
0.350328 + 0.936627i \(0.386070\pi\)
\(830\) −30.8662 + 55.7631i −1.07138 + 1.93557i
\(831\) −38.4010 6.29552i −1.33211 0.218389i
\(832\) 149.969 212.811i 5.19922 7.37791i
\(833\) 10.5389 + 13.3562i 0.365152 + 0.462764i
\(834\) 49.7957i 1.72428i
\(835\) −8.52449 + 6.72641i −0.295002 + 0.232777i
\(836\) 38.8821 35.5214i 1.34476 1.22853i
\(837\) −0.411912 7.59727i −0.0142378 0.262600i
\(838\) −11.8497 + 31.3764i −0.409340 + 1.08388i
\(839\) 2.65214 18.2335i 0.0915619 0.629491i −0.892418 0.451210i \(-0.850993\pi\)
0.983980 0.178281i \(-0.0570535\pi\)
\(840\) −44.6977 + 101.376i −1.54222 + 3.49781i
\(841\) −20.9738 + 13.6744i −0.723234 + 0.471533i
\(842\) 47.3055 + 30.8422i 1.63026 + 1.06289i
\(843\) −3.12642 7.09086i −0.107680 0.244222i
\(844\) 113.924 31.6309i 3.92143 1.08878i
\(845\) 44.9704 6.54113i 1.54703 0.225022i
\(846\) 2.78201 13.8230i 0.0956474 0.475244i
\(847\) 1.22092 + 0.591846i 0.0419512 + 0.0203361i
\(848\) −1.53264 + 0.308459i −0.0526312 + 0.0105925i
\(849\) −5.91265 + 65.3174i −0.202921 + 2.24169i
\(850\) −17.7653 20.1654i −0.609343 0.691668i
\(851\) −2.41170 1.33493i −0.0826719 0.0457607i
\(852\) −58.2991 + 114.931i −1.99729 + 3.93747i
\(853\) −30.4481 11.4991i −1.04252 0.393721i −0.227882 0.973689i \(-0.573180\pi\)
−0.814640 + 0.579968i \(0.803065\pi\)
\(854\) 18.9356 + 34.2092i 0.647962 + 1.17062i
\(855\) −2.14233 5.99808i −0.0732662 0.205130i
\(856\) 13.8738 + 68.9348i 0.474196 + 2.35614i
\(857\) −7.82290 + 30.2865i −0.267225 + 1.03457i 0.684845 + 0.728689i \(0.259870\pi\)
−0.952070 + 0.305879i \(0.901050\pi\)
\(858\) 109.617 63.2872i 3.74225 2.16059i
\(859\) 3.81805 3.74973i 0.130270 0.127939i −0.632633 0.774451i \(-0.718026\pi\)
0.762904 + 0.646512i \(0.223773\pi\)
\(860\) −31.4253 + 16.6606i −1.07159 + 0.568123i
\(861\) 45.1310 75.0084i 1.53806 2.55628i
\(862\) −71.9420 + 30.1805i −2.45035 + 1.02795i
\(863\) −17.5974 + 1.59295i −0.599022 + 0.0542245i −0.385491 0.922712i \(-0.625968\pi\)
−0.213531 + 0.976936i \(0.568497\pi\)
\(864\) 67.5164 + 49.4270i 2.29695 + 1.68154i
\(865\) 13.8195 + 22.9681i 0.469876 + 0.780940i
\(866\) −46.5753 28.0234i −1.58269 0.952274i
\(867\) −0.191702 10.6164i −0.00651054 0.360553i
\(868\) −38.9576 + 26.4139i −1.32231 + 0.896547i
\(869\) 33.9364 7.46997i 1.15121 0.253401i
\(870\) 6.13723 + 16.2506i 0.208072 + 0.550947i
\(871\) −56.0216 + 24.7004i −1.89822 + 0.836941i
\(872\) 61.2603 14.6488i 2.07453 0.496071i
\(873\) −2.09562 + 0.501114i −0.0709260 + 0.0169601i
\(874\) 37.8553 16.6907i 1.28047 0.564572i
\(875\) −14.1074 37.3547i −0.476919 1.26282i
\(876\) −74.4967 + 16.3980i −2.51701 + 0.554035i
\(877\) −33.2929 + 22.5731i −1.12422 + 0.762241i −0.974031 0.226416i \(-0.927299\pi\)
−0.150190 + 0.988657i \(0.547989\pi\)
\(878\) 0.666079 + 36.8874i 0.0224791 + 1.24489i
\(879\) −5.00965 3.01421i −0.168971 0.101667i
\(880\) −42.0620 69.9076i −1.41791 2.35659i
\(881\) −5.78275 4.23340i −0.194826 0.142627i 0.488969 0.872301i \(-0.337373\pi\)
−0.683795 + 0.729674i \(0.739672\pi\)
\(882\) −20.4387 + 1.85015i −0.688207 + 0.0622977i
\(883\) −47.4746 + 19.9161i −1.59765 + 0.670232i −0.992085 0.125567i \(-0.959925\pi\)
−0.605562 + 0.795798i \(0.707051\pi\)
\(884\) 66.9898 111.338i 2.25311 3.74470i
\(885\) 21.4184 11.3553i 0.719970 0.381704i
\(886\) 35.1211 34.4927i 1.17992 1.15880i
\(887\) 4.18670 2.41719i 0.140576 0.0811614i −0.428063 0.903749i \(-0.640804\pi\)
0.568638 + 0.822588i \(0.307470\pi\)
\(888\) 2.84564 11.0170i 0.0954936 0.369705i
\(889\) −4.99972 24.8422i −0.167685 0.833180i
\(890\) 0.944126 + 2.64336i 0.0316472 + 0.0886055i
\(891\) 17.7437 + 32.0559i 0.594435 + 1.07391i
\(892\) −28.8274 10.8870i −0.965213 0.364524i
\(893\) −4.34724 + 8.57016i −0.145475 + 0.286790i
\(894\) −23.0652 12.7671i −0.771416 0.426996i
\(895\) −12.7449 14.4668i −0.426016 0.483572i
\(896\) 17.5440 193.810i 0.586104 6.47474i
\(897\) 72.0879 14.5084i 2.40695 0.484421i
\(898\) −22.7734 11.0395i −0.759957 0.368394i
\(899\) −0.943210 + 4.68653i −0.0314578 + 0.156305i
\(900\) 23.7240 3.45076i 0.790802 0.115025i
\(901\) −0.308968 + 0.0857845i −0.0102932 + 0.00285790i
\(902\) 43.4948 + 98.6481i 1.44822 + 3.28462i
\(903\) −25.9212 16.9001i −0.862604 0.562399i
\(904\) 18.5224 12.0762i 0.616046 0.401648i
\(905\) −2.33419 + 5.29405i −0.0775912 + 0.175980i
\(906\) 7.12606 48.9918i 0.236747 1.62764i
\(907\) −2.81186 + 7.44545i −0.0933664 + 0.247222i −0.973989 0.226597i \(-0.927240\pi\)
0.880622 + 0.473819i \(0.157125\pi\)
\(908\) −4.14069 76.3706i −0.137414 2.53445i
\(909\) 14.8212 13.5401i 0.491587 0.449098i
\(910\) 73.5645 58.0475i 2.43864 1.92426i
\(911\) 15.8341i 0.524607i −0.964985 0.262304i \(-0.915518\pi\)
0.964985 0.262304i \(-0.0844822\pi\)
\(912\) 63.2524 + 80.1608i 2.09450 + 2.65439i
\(913\) 29.0912 41.2816i 0.962779 1.36622i
\(914\) −86.0565 14.1082i −2.84650 0.466659i
\(915\) −6.23546 + 11.2651i −0.206138 + 0.372411i
\(916\) −46.1484 + 39.1988i −1.52479 + 1.29517i
\(917\) −49.8143 + 40.7875i −1.64501 + 1.34692i
\(918\) 25.7688 + 16.1453i 0.850497 + 0.532874i
\(919\) −2.59911 + 35.9260i −0.0857368 + 1.18509i 0.759431 + 0.650588i \(0.225477\pi\)
−0.845168 + 0.534501i \(0.820500\pi\)
\(920\) −17.0408 77.4173i −0.561820 2.55237i
\(921\) −5.70094 + 0.620014i −0.187852 + 0.0204302i
\(922\) 7.46793 + 18.7431i 0.245943 + 0.617271i
\(923\) 57.7177 40.6738i 1.89980 1.33879i
\(924\) 67.7595 117.363i 2.22912 3.86096i
\(925\) 0.736021 + 1.27483i 0.0242002 + 0.0419160i
\(926\) −56.3453 26.0681i −1.85162 0.856651i
\(927\) 1.99127 4.74664i 0.0654019 0.155900i
\(928\) −33.3069 40.6781i −1.09335 1.33532i
\(929\) 0.825465 15.2248i 0.0270826 0.499510i −0.953253 0.302173i \(-0.902288\pi\)
0.980336 0.197337i \(-0.0632293\pi\)
\(930\) −19.1771 8.45534i −0.628841 0.277261i
\(931\) 13.7592 + 2.51160i 0.450940 + 0.0823142i
\(932\) −50.4250 38.3321i −1.65173 1.25561i
\(933\) −21.4229 4.31157i −0.701355 0.141154i
\(934\) −7.49686 + 25.2253i −0.245305 + 0.825398i
\(935\) −9.63927 13.6785i −0.315238 0.447335i
\(936\) 44.2893 + 91.3641i 1.44764 + 2.98633i
\(937\) −0.655484 0.220858i −0.0214137 0.00721512i 0.308574 0.951200i \(-0.400148\pi\)
−0.329988 + 0.943985i \(0.607045\pi\)
\(938\) −52.3595 + 71.5221i −1.70960 + 2.33528i
\(939\) 42.5772 3.08031i 1.38946 0.100522i
\(940\) 22.3137 + 17.6071i 0.727794 + 0.574280i
\(941\) 21.5348 27.2914i 0.702015 0.889675i −0.295834 0.955239i \(-0.595597\pi\)
0.997848 + 0.0655643i \(0.0208848\pi\)
\(942\) −24.8101 83.4807i −0.808357 2.71995i
\(943\) 5.64654 + 62.3778i 0.183877 + 2.03130i
\(944\) −89.4034 + 94.3820i −2.90983 + 3.07187i
\(945\) 9.81483 + 12.9112i 0.319276 + 0.420001i
\(946\) 35.4031 14.1059i 1.15105 0.458622i
\(947\) 29.2072 + 6.42899i 0.949107 + 0.208914i 0.662439 0.749116i \(-0.269521\pi\)
0.286668 + 0.958030i \(0.407452\pi\)
\(948\) 18.5160 + 127.298i 0.601372 + 4.13445i
\(949\) 40.2708 + 11.1811i 1.30725 + 0.362955i
\(950\) −21.9172 2.78487i −0.711088 0.0903530i
\(951\) −21.7721 33.3939i −0.706008 1.08287i
\(952\) 2.20012 121.842i 0.0713063 3.94893i
\(953\) −24.1148 + 38.4885i −0.781154 + 1.24677i 0.183442 + 0.983031i \(0.441276\pi\)
−0.964595 + 0.263735i \(0.915046\pi\)
\(954\) 0.116864 0.368711i 0.00378362 0.0119375i
\(955\) 36.3054 12.2327i 1.17481 0.395841i
\(956\) −83.0774 84.5910i −2.68691 2.73587i
\(957\) −3.44225 13.3268i −0.111272 0.430793i
\(958\) −49.2984 + 23.8977i −1.59276 + 0.772099i
\(959\) −32.8083 + 24.9402i −1.05943 + 0.805361i
\(960\) 110.691 56.1486i 3.57255 1.81219i
\(961\) 14.1600 + 20.8844i 0.456774 + 0.673691i
\(962\) −6.49116 + 7.10530i −0.209284 + 0.229084i
\(963\) −9.91576 3.14284i −0.319531 0.101277i
\(964\) −2.92970 1.22905i −0.0943594 0.0395849i
\(965\) 9.44717 6.91603i 0.304115 0.222635i
\(966\) 79.8812 70.3735i 2.57014 2.26423i
\(967\) −18.9639 + 17.9636i −0.609838 + 0.577669i −0.929022 0.370024i \(-0.879350\pi\)
0.319185 + 0.947693i \(0.396591\pi\)
\(968\) −1.68260 3.63688i −0.0540808 0.116894i
\(969\) 14.1259 + 15.4624i 0.453790 + 0.496724i
\(970\) 1.36596 5.71233i 0.0438582 0.183412i
\(971\) 7.04846 + 4.96706i 0.226196 + 0.159401i 0.683596 0.729860i \(-0.260415\pi\)
−0.457401 + 0.889261i \(0.651219\pi\)
\(972\) −74.1178 + 34.2905i −2.37733 + 1.09987i
\(973\) 1.05460 + 29.1923i 0.0338089 + 0.935862i
\(974\) −12.9258 + 7.15471i −0.414169 + 0.229252i
\(975\) −36.9806 13.2084i −1.18433 0.423006i
\(976\) 12.3991 67.9256i 0.396885 2.17424i
\(977\) 5.02741 39.5663i 0.160841 1.26584i −0.683468 0.729980i \(-0.739529\pi\)
0.844309 0.535856i \(-0.180011\pi\)
\(978\) −30.2917 + 44.6768i −0.968620 + 1.42861i
\(979\) −0.517254 2.16312i −0.0165315 0.0691335i
\(980\) 15.3126 38.4316i 0.489142 1.22765i
\(981\) −2.49273 + 8.97801i −0.0795868 + 0.286646i
\(982\) −63.5795 + 83.6374i −2.02890 + 2.66898i
\(983\) −0.949829 5.79370i −0.0302949 0.184790i 0.967344 0.253467i \(-0.0815708\pi\)
−0.997639 + 0.0686761i \(0.978122\pi\)
\(984\) −243.477 + 86.9627i −7.76178 + 2.77227i
\(985\) 10.3857 11.7888i 0.330915 0.375623i
\(986\) −13.1395 13.8712i −0.418446 0.441748i
\(987\) −4.00055 + 24.4023i −0.127339 + 0.776733i
\(988\) −19.1819 105.084i −0.610259 3.34317i
\(989\) 22.1074 1.19863i 0.702974 0.0381142i
\(990\) 20.1717 0.728723i 0.641099 0.0231603i
\(991\) −2.90372 2.55811i −0.0922396 0.0812610i 0.613671 0.789562i \(-0.289692\pi\)
−0.705911 + 0.708301i \(0.749462\pi\)
\(992\) 63.1738 + 5.71860i 2.00577 + 0.181566i
\(993\) 30.5833 9.69349i 0.970532 0.307614i
\(994\) 42.9233 92.7773i 1.36145 2.94272i
\(995\) 4.75596 + 14.1152i 0.150774 + 0.447481i
\(996\) 144.653 + 118.440i 4.58349 + 3.75293i
\(997\) 13.0443 0.235542i 0.413117 0.00745969i 0.188894 0.981998i \(-0.439510\pi\)
0.224223 + 0.974538i \(0.428016\pi\)
\(998\) 96.5244 + 3.48704i 3.05543 + 0.110380i
\(999\) −1.20924 1.14545i −0.0382586 0.0362404i
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 349.2.k.a.3.1 1624
349.233 even 174 inner 349.2.k.a.233.1 yes 1624
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
349.2.k.a.3.1 1624 1.1 even 1 trivial
349.2.k.a.233.1 yes 1624 349.233 even 174 inner