Properties

Label 242.2.g.b.15.1
Level $242$
Weight $2$
Character 242.15
Analytic conductor $1.932$
Analytic rank $0$
Dimension $240$
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] = [242,2,Mod(5,242)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(242, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([74]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("242.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 242 = 2 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 242.g (of order \(55\), degree \(40\), 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: \(1.93237972891\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(6\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 242.15
Dual form 242.2.g.b.113.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0855750 + 0.996332i) q^{2} +(-1.04353 + 3.21167i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(-1.10788 + 0.0633506i) q^{5} +(-3.28919 - 0.764868i) q^{6} +(2.72097 + 3.97928i) q^{7} +(-0.254218 - 0.967147i) q^{8} +(-6.79881 - 4.93962i) q^{9} +O(q^{10})\) \(q+(0.0855750 + 0.996332i) q^{2} +(-1.04353 + 3.21167i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(-1.10788 + 0.0633506i) q^{5} +(-3.28919 - 0.764868i) q^{6} +(2.72097 + 3.97928i) q^{7} +(-0.254218 - 0.967147i) q^{8} +(-6.79881 - 4.93962i) q^{9} +(-0.157925 - 1.09839i) q^{10} +(1.97100 - 2.66743i) q^{11} +(0.480590 - 3.34258i) q^{12} +(0.408825 - 0.420671i) q^{13} +(-3.73184 + 3.05151i) q^{14} +(0.952646 - 3.62424i) q^{15} +(0.941844 - 0.336049i) q^{16} +(2.76027 + 1.55879i) q^{17} +(4.33970 - 7.19658i) q^{18} +(2.12593 + 1.95116i) q^{19} +(1.08085 - 0.251340i) q^{20} +(-15.6196 + 4.58632i) q^{21} +(2.82631 + 1.73550i) q^{22} +(-5.03440 - 1.47823i) q^{23} +(3.37144 + 0.192786i) q^{24} +(-3.74403 + 0.429588i) q^{25} +(0.454113 + 0.371326i) q^{26} +(14.7632 - 10.7261i) q^{27} +(-3.35967 - 3.45702i) q^{28} +(1.59521 + 0.183033i) q^{29} +(3.69247 + 0.639007i) q^{30} +(-2.68062 + 5.08035i) q^{31} +(0.415415 + 0.909632i) q^{32} +(6.51009 + 9.11375i) q^{33} +(-1.31687 + 2.88353i) q^{34} +(-3.26658 - 4.23618i) q^{35} +(7.54155 + 3.70793i) q^{36} +(3.95970 - 1.94685i) q^{37} +(-1.76208 + 2.28510i) q^{38} +(0.924433 + 1.75200i) q^{39} +(0.342912 + 1.05537i) q^{40} +(-0.834446 + 0.352640i) q^{41} +(-5.90614 - 15.1698i) q^{42} +(-3.64599 + 2.34313i) q^{43} +(-1.48727 + 2.96446i) q^{44} +(7.84517 + 5.04178i) q^{45} +(1.04199 - 5.14243i) q^{46} +(1.93111 + 3.20239i) q^{47} +(0.0964324 + 3.37557i) q^{48} +(-5.89140 + 15.1319i) q^{49} +(-0.748408 - 3.69354i) q^{50} +(-7.88676 + 7.23841i) q^{51} +(-0.331104 + 0.484224i) q^{52} +(6.18455 + 2.20664i) q^{53} +(11.9501 + 13.7912i) q^{54} +(-2.01464 + 3.08004i) q^{55} +(3.15683 - 3.64318i) q^{56} +(-8.48496 + 4.79168i) q^{57} +(-0.0458516 + 1.60502i) q^{58} +(6.30429 + 2.66421i) q^{59} +(-0.320680 + 3.73361i) q^{60} +(-0.181606 + 2.11440i) q^{61} +(-5.29110 - 2.23604i) q^{62} +(1.15685 - 40.4949i) q^{63} +(-0.870746 + 0.491733i) q^{64} +(-0.426278 + 0.491951i) q^{65} +(-8.52321 + 7.26612i) q^{66} +(3.73229 + 4.30729i) q^{67} +(-2.98565 - 1.06528i) q^{68} +(10.0012 - 14.6262i) q^{69} +(3.94110 - 3.61711i) q^{70} +(-2.27525 - 11.2288i) q^{71} +(-3.04896 + 7.83119i) q^{72} +(-0.137753 - 4.82198i) q^{73} +(2.27856 + 3.77857i) q^{74} +(2.52733 - 12.4729i) q^{75} +(-2.42751 - 1.56007i) q^{76} +(15.9775 + 0.585180i) q^{77} +(-1.66646 + 1.07097i) q^{78} +(2.23946 + 5.75200i) q^{79} +(-1.02216 + 0.431967i) q^{80} +(11.2520 + 34.6302i) q^{81} +(-0.422754 - 0.801208i) q^{82} +(9.09518 - 11.7948i) q^{83} +(14.6087 - 7.18263i) q^{84} +(-3.15678 - 1.55209i) q^{85} +(-2.64654 - 3.43210i) q^{86} +(-2.25249 + 4.93227i) q^{87} +(-3.08086 - 1.22813i) q^{88} +(-4.99877 - 10.9458i) q^{89} +(-4.35194 + 8.24784i) q^{90} +(2.78637 + 0.482200i) q^{91} +(5.21274 + 0.598106i) q^{92} +(-13.5191 - 13.9108i) q^{93} +(-3.02538 + 2.19807i) q^{94} +(-2.47887 - 2.02696i) q^{95} +(-3.35494 + 0.384943i) q^{96} +(-6.97536 - 0.398865i) q^{97} +(-15.5806 - 4.57488i) q^{98} +(-26.5765 + 8.39935i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9} - 22 q^{10} - 10 q^{11} - 13 q^{12} - 30 q^{13} - 13 q^{14} - 30 q^{15} + 6 q^{16} - 4 q^{17} + 12 q^{18} + 4 q^{19} + 5 q^{20} + 20 q^{21} - 11 q^{22} - 21 q^{23} - 2 q^{24} - 7 q^{25} - 7 q^{26} + 46 q^{27} - 2 q^{28} - 13 q^{29} - 19 q^{30} - 68 q^{31} - 24 q^{32} - 11 q^{33} + 6 q^{34} - 16 q^{35} + 12 q^{36} - 75 q^{37} - 44 q^{38} + 178 q^{39} - 16 q^{40} - 4 q^{41} - 44 q^{42} + 14 q^{43} - 15 q^{44} + 4 q^{45} + 13 q^{46} - 7 q^{47} + 3 q^{48} - 46 q^{49} + 13 q^{50} + 21 q^{51} - 7 q^{52} + 12 q^{53} + 16 q^{54} - 26 q^{55} - 3 q^{56} - 57 q^{57} + 97 q^{58} - 41 q^{59} - 31 q^{60} - 48 q^{61} - 2 q^{62} - 81 q^{63} + 6 q^{64} - 75 q^{65} - 82 q^{66} - 41 q^{67} - 4 q^{68} - 22 q^{69} + 26 q^{70} - 69 q^{71} - 3 q^{72} - 64 q^{73} + 13 q^{74} - 2 q^{75} - 30 q^{76} + 162 q^{77} + 32 q^{78} - 33 q^{79} - 5 q^{80} - 131 q^{81} - 21 q^{82} + 10 q^{83} + 166 q^{84} - 122 q^{85} - 26 q^{86} - 17 q^{87} - 21 q^{88} - 13 q^{89} - 160 q^{90} - 44 q^{91} - 52 q^{92} - 49 q^{93} - 170 q^{94} - 295 q^{95} + 3 q^{96} - 88 q^{97} - 36 q^{98} - 119 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{26}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0855750 + 0.996332i 0.0605107 + 0.704513i
\(3\) −1.04353 + 3.21167i −0.602485 + 1.85426i −0.0892528 + 0.996009i \(0.528448\pi\)
−0.513232 + 0.858250i \(0.671552\pi\)
\(4\) −0.985354 + 0.170522i −0.492677 + 0.0852611i
\(5\) −1.10788 + 0.0633506i −0.495457 + 0.0283313i −0.303032 0.952980i \(-0.597999\pi\)
−0.192425 + 0.981312i \(0.561635\pi\)
\(6\) −3.28919 0.764868i −1.34281 0.312256i
\(7\) 2.72097 + 3.97928i 1.02843 + 1.50403i 0.854623 + 0.519248i \(0.173788\pi\)
0.173805 + 0.984780i \(0.444394\pi\)
\(8\) −0.254218 0.967147i −0.0898798 0.341938i
\(9\) −6.79881 4.93962i −2.26627 1.64654i
\(10\) −0.157925 1.09839i −0.0499402 0.347342i
\(11\) 1.97100 2.66743i 0.594278 0.804260i
\(12\) 0.480590 3.34258i 0.138734 0.964919i
\(13\) 0.408825 0.420671i 0.113388 0.116673i −0.658061 0.752964i \(-0.728623\pi\)
0.771449 + 0.636291i \(0.219532\pi\)
\(14\) −3.73184 + 3.05151i −0.997377 + 0.815551i
\(15\) 0.952646 3.62424i 0.245972 0.935775i
\(16\) 0.941844 0.336049i 0.235461 0.0840123i
\(17\) 2.76027 + 1.55879i 0.669463 + 0.378063i 0.788679 0.614805i \(-0.210765\pi\)
−0.119216 + 0.992868i \(0.538038\pi\)
\(18\) 4.33970 7.19658i 1.02288 1.69625i
\(19\) 2.12593 + 1.95116i 0.487722 + 0.447627i 0.881920 0.471398i \(-0.156251\pi\)
−0.394199 + 0.919025i \(0.628978\pi\)
\(20\) 1.08085 0.251340i 0.241685 0.0562014i
\(21\) −15.6196 + 4.58632i −3.40847 + 1.00082i
\(22\) 2.82631 + 1.73550i 0.602572 + 0.370010i
\(23\) −5.03440 1.47823i −1.04974 0.308233i −0.289031 0.957320i \(-0.593333\pi\)
−0.760714 + 0.649087i \(0.775151\pi\)
\(24\) 3.37144 + 0.192786i 0.688193 + 0.0393523i
\(25\) −3.74403 + 0.429588i −0.748807 + 0.0859176i
\(26\) 0.454113 + 0.371326i 0.0890589 + 0.0728231i
\(27\) 14.7632 10.7261i 2.84118 2.06424i
\(28\) −3.35967 3.45702i −0.634918 0.653315i
\(29\) 1.59521 + 0.183033i 0.296222 + 0.0339883i 0.260829 0.965385i \(-0.416004\pi\)
0.0353936 + 0.999373i \(0.488732\pi\)
\(30\) 3.69247 + 0.639007i 0.674149 + 0.116666i
\(31\) −2.68062 + 5.08035i −0.481454 + 0.912457i 0.516952 + 0.856015i \(0.327067\pi\)
−0.998406 + 0.0564426i \(0.982024\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) 6.51009 + 9.11375i 1.13326 + 1.58650i
\(34\) −1.31687 + 2.88353i −0.225841 + 0.494522i
\(35\) −3.26658 4.23618i −0.552153 0.716045i
\(36\) 7.54155 + 3.70793i 1.25692 + 0.617988i
\(37\) 3.95970 1.94685i 0.650970 0.320061i −0.0856916 0.996322i \(-0.527310\pi\)
0.736662 + 0.676261i \(0.236401\pi\)
\(38\) −1.76208 + 2.28510i −0.285847 + 0.370692i
\(39\) 0.924433 + 1.75200i 0.148028 + 0.280544i
\(40\) 0.342912 + 1.05537i 0.0542191 + 0.166869i
\(41\) −0.834446 + 0.352640i −0.130319 + 0.0550731i −0.453454 0.891280i \(-0.649808\pi\)
0.323136 + 0.946353i \(0.395263\pi\)
\(42\) −5.90614 15.1698i −0.911337 2.34075i
\(43\) −3.64599 + 2.34313i −0.556008 + 0.357325i −0.788271 0.615328i \(-0.789023\pi\)
0.232263 + 0.972653i \(0.425387\pi\)
\(44\) −1.48727 + 2.96446i −0.224215 + 0.446909i
\(45\) 7.84517 + 5.04178i 1.16949 + 0.751584i
\(46\) 1.04199 5.14243i 0.153633 0.758210i
\(47\) 1.93111 + 3.20239i 0.281681 + 0.467116i 0.964724 0.263262i \(-0.0847984\pi\)
−0.683043 + 0.730378i \(0.739344\pi\)
\(48\) 0.0964324 + 3.37557i 0.0139188 + 0.487222i
\(49\) −5.89140 + 15.1319i −0.841629 + 2.16171i
\(50\) −0.748408 3.69354i −0.105841 0.522345i
\(51\) −7.88676 + 7.23841i −1.10437 + 1.01358i
\(52\) −0.331104 + 0.484224i −0.0459158 + 0.0671497i
\(53\) 6.18455 + 2.20664i 0.849514 + 0.303106i 0.724692 0.689073i \(-0.241982\pi\)
0.124822 + 0.992179i \(0.460164\pi\)
\(54\) 11.9501 + 13.7912i 1.62620 + 1.87674i
\(55\) −2.01464 + 3.08004i −0.271654 + 0.415313i
\(56\) 3.15683 3.64318i 0.421850 0.486840i
\(57\) −8.48496 + 4.79168i −1.12386 + 0.634674i
\(58\) −0.0458516 + 1.60502i −0.00602061 + 0.210749i
\(59\) 6.30429 + 2.66421i 0.820748 + 0.346851i 0.758878 0.651233i \(-0.225748\pi\)
0.0618705 + 0.998084i \(0.480293\pi\)
\(60\) −0.320680 + 3.73361i −0.0413996 + 0.482007i
\(61\) −0.181606 + 2.11440i −0.0232523 + 0.270721i 0.975468 + 0.220142i \(0.0706522\pi\)
−0.998720 + 0.0505791i \(0.983893\pi\)
\(62\) −5.29110 2.23604i −0.671971 0.283977i
\(63\) 1.15685 40.4949i 0.145749 5.10188i
\(64\) −0.870746 + 0.491733i −0.108843 + 0.0614666i
\(65\) −0.426278 + 0.491951i −0.0528732 + 0.0610190i
\(66\) −8.52321 + 7.26612i −1.04914 + 0.894398i
\(67\) 3.73229 + 4.30729i 0.455972 + 0.526220i 0.936457 0.350784i \(-0.114085\pi\)
−0.480485 + 0.877003i \(0.659539\pi\)
\(68\) −2.98565 1.06528i −0.362063 0.129184i
\(69\) 10.0012 14.6262i 1.20400 1.76079i
\(70\) 3.94110 3.61711i 0.471052 0.432327i
\(71\) −2.27525 11.2288i −0.270022 1.33261i −0.853759 0.520669i \(-0.825683\pi\)
0.583736 0.811943i \(-0.301590\pi\)
\(72\) −3.04896 + 7.83119i −0.359323 + 0.922915i
\(73\) −0.137753 4.82198i −0.0161227 0.564370i −0.966996 0.254790i \(-0.917994\pi\)
0.950874 0.309579i \(-0.100188\pi\)
\(74\) 2.27856 + 3.77857i 0.264878 + 0.439250i
\(75\) 2.52733 12.4729i 0.291832 1.44025i
\(76\) −2.42751 1.56007i −0.278454 0.178952i
\(77\) 15.9775 + 0.585180i 1.82080 + 0.0666874i
\(78\) −1.66646 + 1.07097i −0.188690 + 0.121263i
\(79\) 2.23946 + 5.75200i 0.251959 + 0.647151i 0.999861 0.0166579i \(-0.00530261\pi\)
−0.747903 + 0.663809i \(0.768939\pi\)
\(80\) −1.02216 + 0.431967i −0.114281 + 0.0482954i
\(81\) 11.2520 + 34.6302i 1.25023 + 3.84780i
\(82\) −0.422754 0.801208i −0.0466853 0.0884786i
\(83\) 9.09518 11.7948i 0.998326 1.29465i 0.0430071 0.999075i \(-0.486306\pi\)
0.955319 0.295577i \(-0.0955120\pi\)
\(84\) 14.6087 7.18263i 1.59394 0.783689i
\(85\) −3.15678 1.55209i −0.342401 0.168347i
\(86\) −2.64654 3.43210i −0.285384 0.370093i
\(87\) −2.25249 + 4.93227i −0.241493 + 0.528795i
\(88\) −3.08086 1.22813i −0.328421 0.130920i
\(89\) −4.99877 10.9458i −0.529869 1.16025i −0.965566 0.260157i \(-0.916226\pi\)
0.435698 0.900093i \(-0.356502\pi\)
\(90\) −4.35194 + 8.24784i −0.458734 + 0.869398i
\(91\) 2.78637 + 0.482200i 0.292091 + 0.0505483i
\(92\) 5.21274 + 0.598106i 0.543465 + 0.0623568i
\(93\) −13.5191 13.9108i −1.40186 1.44248i
\(94\) −3.02538 + 2.19807i −0.312044 + 0.226714i
\(95\) −2.47887 2.02696i −0.254327 0.207962i
\(96\) −3.35494 + 0.384943i −0.342412 + 0.0392881i
\(97\) −6.97536 0.398865i −0.708240 0.0404987i −0.300743 0.953705i \(-0.597235\pi\)
−0.407497 + 0.913206i \(0.633598\pi\)
\(98\) −15.5806 4.57488i −1.57388 0.462132i
\(99\) −26.5765 + 8.39935i −2.67104 + 0.844166i
\(100\) 3.61594 1.06174i 0.361594 0.106174i
\(101\) −2.66046 + 0.618664i −0.264726 + 0.0615593i −0.356758 0.934197i \(-0.616118\pi\)
0.0920328 + 0.995756i \(0.470664\pi\)
\(102\) −7.88676 7.23841i −0.780906 0.716709i
\(103\) 0.658574 1.09212i 0.0648912 0.107610i −0.822211 0.569182i \(-0.807260\pi\)
0.887103 + 0.461572i \(0.152714\pi\)
\(104\) −0.510782 0.288452i −0.0500862 0.0282850i
\(105\) 17.0140 6.07058i 1.66040 0.592428i
\(106\) −1.66931 + 6.35070i −0.162137 + 0.616835i
\(107\) −2.68470 + 2.19527i −0.259539 + 0.212224i −0.753825 0.657075i \(-0.771793\pi\)
0.494286 + 0.869300i \(0.335430\pi\)
\(108\) −12.7179 + 13.0865i −1.22379 + 1.25925i
\(109\) 1.57347 10.9437i 0.150711 1.04822i −0.764321 0.644836i \(-0.776926\pi\)
0.915032 0.403381i \(-0.132165\pi\)
\(110\) −3.24115 1.74367i −0.309031 0.166253i
\(111\) 2.12057 + 14.7489i 0.201275 + 1.39990i
\(112\) 3.89996 + 2.83349i 0.368512 + 0.267739i
\(113\) 1.82364 + 6.93786i 0.171554 + 0.652659i 0.996207 + 0.0870197i \(0.0277343\pi\)
−0.824653 + 0.565640i \(0.808629\pi\)
\(114\) −5.50020 8.04379i −0.515141 0.753370i
\(115\) 5.67114 + 1.31877i 0.528836 + 0.122976i
\(116\) −1.60305 + 0.0916659i −0.148840 + 0.00851096i
\(117\) −4.85748 + 0.840620i −0.449074 + 0.0777154i
\(118\) −2.11495 + 6.50915i −0.194697 + 0.599216i
\(119\) 1.30770 + 15.2253i 0.119877 + 1.39570i
\(120\) −3.74735 −0.342085
\(121\) −3.23034 10.5150i −0.293667 0.955908i
\(122\) −2.12219 −0.192134
\(123\) −0.261789 3.04796i −0.0236047 0.274825i
\(124\) 1.77505 5.46304i 0.159404 0.490596i
\(125\) 9.58787 1.65925i 0.857566 0.148408i
\(126\) 40.4454 2.31275i 3.60316 0.206036i
\(127\) 16.5105 + 3.83934i 1.46507 + 0.340686i 0.881811 0.471603i \(-0.156324\pi\)
0.583255 + 0.812289i \(0.301779\pi\)
\(128\) −0.564443 0.825472i −0.0498902 0.0729621i
\(129\) −3.72066 14.1549i −0.327586 1.24627i
\(130\) −0.526625 0.382615i −0.0461880 0.0335576i
\(131\) 0.384111 + 2.67155i 0.0335599 + 0.233414i 0.999697 0.0246149i \(-0.00783596\pi\)
−0.966137 + 0.258029i \(0.916927\pi\)
\(132\) −7.96884 7.87015i −0.693599 0.685009i
\(133\) −1.97964 + 13.7687i −0.171657 + 1.19390i
\(134\) −3.97210 + 4.08720i −0.343137 + 0.353080i
\(135\) −15.6763 + 12.8184i −1.34920 + 1.10324i
\(136\) 0.805872 3.06586i 0.0691030 0.262895i
\(137\) −3.19220 + 1.13897i −0.272728 + 0.0973091i −0.468872 0.883266i \(-0.655340\pi\)
0.196145 + 0.980575i \(0.437158\pi\)
\(138\) 15.4284 + 8.71284i 1.31336 + 0.741686i
\(139\) 5.93627 9.84420i 0.503508 0.834974i −0.495934 0.868360i \(-0.665174\pi\)
0.999443 + 0.0333855i \(0.0106289\pi\)
\(140\) 3.94110 + 3.61711i 0.333084 + 0.305702i
\(141\) −12.3002 + 2.86029i −1.03586 + 0.240880i
\(142\) 10.9929 3.22781i 0.922503 0.270871i
\(143\) −0.316317 1.91965i −0.0264517 0.160529i
\(144\) −8.06338 2.36762i −0.671948 0.197302i
\(145\) −1.77888 0.101720i −0.147728 0.00844741i
\(146\) 4.79250 0.549888i 0.396630 0.0455091i
\(147\) −42.4509 34.7120i −3.50129 2.86299i
\(148\) −3.56972 + 2.59356i −0.293429 + 0.213189i
\(149\) −8.70017 8.95226i −0.712746 0.733398i 0.259914 0.965632i \(-0.416306\pi\)
−0.972660 + 0.232234i \(0.925397\pi\)
\(150\) 12.6434 + 1.45070i 1.03233 + 0.118449i
\(151\) 18.6669 + 3.23043i 1.51909 + 0.262889i 0.868174 0.496260i \(-0.165294\pi\)
0.650917 + 0.759149i \(0.274385\pi\)
\(152\) 1.34661 2.55211i 0.109224 0.207003i
\(153\) −11.0667 24.2326i −0.894687 1.95909i
\(154\) 0.784239 + 15.9689i 0.0631958 + 1.28681i
\(155\) 2.64795 5.79821i 0.212689 0.465724i
\(156\) −1.20965 1.56870i −0.0968494 0.125597i
\(157\) 18.3654 + 9.02964i 1.46572 + 0.720644i 0.987503 0.157600i \(-0.0503757\pi\)
0.478213 + 0.878244i \(0.341285\pi\)
\(158\) −5.53926 + 2.72347i −0.440680 + 0.216668i
\(159\) −13.5408 + 17.5600i −1.07386 + 1.39260i
\(160\) −0.517854 0.981443i −0.0409400 0.0775898i
\(161\) −7.81611 24.0555i −0.615996 1.89584i
\(162\) −33.5403 + 14.1742i −2.63517 + 1.11363i
\(163\) 0.500148 + 1.28462i 0.0391746 + 0.100619i 0.950092 0.311969i \(-0.100989\pi\)
−0.910918 + 0.412588i \(0.864625\pi\)
\(164\) 0.762091 0.489766i 0.0595093 0.0382443i
\(165\) −7.78974 9.68448i −0.606430 0.753936i
\(166\) 12.5299 + 8.05247i 0.972508 + 0.624993i
\(167\) −2.50660 + 12.3706i −0.193966 + 0.957262i 0.758279 + 0.651930i \(0.226040\pi\)
−0.952246 + 0.305332i \(0.901232\pi\)
\(168\) 8.40643 + 13.9405i 0.648570 + 1.07553i
\(169\) 0.361402 + 12.6507i 0.0278002 + 0.973134i
\(170\) 1.27625 3.27802i 0.0978839 0.251413i
\(171\) −4.81579 23.7669i −0.368273 1.81750i
\(172\) 3.19303 2.93054i 0.243466 0.223451i
\(173\) −7.94583 + 11.6204i −0.604111 + 0.883483i −0.999385 0.0350798i \(-0.988831\pi\)
0.395274 + 0.918563i \(0.370650\pi\)
\(174\) −5.10694 1.82215i −0.387156 0.138137i
\(175\) −11.8968 13.7297i −0.899316 1.03787i
\(176\) 0.959985 3.17465i 0.0723616 0.239299i
\(177\) −15.1353 + 17.4671i −1.13764 + 1.31291i
\(178\) 10.4779 5.91712i 0.785349 0.443507i
\(179\) 0.167020 5.84645i 0.0124836 0.436985i −0.969179 0.246358i \(-0.920766\pi\)
0.981663 0.190627i \(-0.0610520\pi\)
\(180\) −8.59000 3.63016i −0.640261 0.270576i
\(181\) −0.639653 + 7.44734i −0.0475450 + 0.553557i 0.933343 + 0.358985i \(0.116877\pi\)
−0.980888 + 0.194572i \(0.937668\pi\)
\(182\) −0.241988 + 2.81741i −0.0179373 + 0.208840i
\(183\) −6.60125 2.78971i −0.487978 0.206221i
\(184\) −0.149832 + 5.24480i −0.0110457 + 0.386652i
\(185\) −4.26352 + 2.40772i −0.313460 + 0.177019i
\(186\) 12.7029 14.6599i 0.931420 1.07492i
\(187\) 9.59844 4.29043i 0.701908 0.313747i
\(188\) −2.44890 2.82619i −0.178605 0.206121i
\(189\) 82.8524 + 29.5617i 6.02663 + 2.15030i
\(190\) 1.80740 2.64324i 0.131123 0.191761i
\(191\) −3.95579 + 3.63059i −0.286231 + 0.262701i −0.806410 0.591357i \(-0.798593\pi\)
0.520179 + 0.854057i \(0.325865\pi\)
\(192\) −0.670630 3.30969i −0.0483986 0.238856i
\(193\) −3.01372 + 7.74069i −0.216933 + 0.557187i −0.997711 0.0676210i \(-0.978459\pi\)
0.780778 + 0.624808i \(0.214823\pi\)
\(194\) −0.199514 6.98391i −0.0143243 0.501415i
\(195\) −1.13515 1.88243i −0.0812896 0.134804i
\(196\) 3.22478 15.9149i 0.230342 1.13678i
\(197\) 7.66493 + 4.92595i 0.546104 + 0.350960i 0.784422 0.620227i \(-0.212960\pi\)
−0.238318 + 0.971187i \(0.576596\pi\)
\(198\) −10.6428 25.7603i −0.756353 1.83070i
\(199\) 12.2290 7.85912i 0.866893 0.557118i −0.0299080 0.999553i \(-0.509521\pi\)
0.896801 + 0.442434i \(0.145885\pi\)
\(200\) 1.36728 + 3.51182i 0.0966810 + 0.248323i
\(201\) −17.7284 + 7.49208i −1.25046 + 0.528450i
\(202\) −0.844063 2.59776i −0.0593881 0.182778i
\(203\) 3.61216 + 6.84580i 0.253524 + 0.480481i
\(204\) 6.53694 8.47726i 0.457678 0.593527i
\(205\) 0.902122 0.443544i 0.0630069 0.0309784i
\(206\) 1.14447 + 0.562700i 0.0797392 + 0.0392051i
\(207\) 26.9260 + 34.9183i 1.87149 + 2.42699i
\(208\) 0.243683 0.533592i 0.0168964 0.0369980i
\(209\) 9.39478 1.82503i 0.649850 0.126240i
\(210\) 7.50429 + 16.4321i 0.517845 + 1.13392i
\(211\) −1.14723 + 2.17424i −0.0789783 + 0.149681i −0.920750 0.390153i \(-0.872422\pi\)
0.841772 + 0.539834i \(0.181513\pi\)
\(212\) −6.47026 1.11972i −0.444379 0.0769028i
\(213\) 38.4375 + 4.41029i 2.63369 + 0.302188i
\(214\) −2.41696 2.48699i −0.165220 0.170007i
\(215\) 3.89086 2.82688i 0.265355 0.192791i
\(216\) −14.1268 11.5514i −0.961207 0.785975i
\(217\) −27.5100 + 3.15648i −1.86750 + 0.214276i
\(218\) 11.0382 + 0.631188i 0.747602 + 0.0427494i
\(219\) 15.6304 + 4.58949i 1.05620 + 0.310129i
\(220\) 1.45991 3.37847i 0.0984274 0.227777i
\(221\) 1.78421 0.523890i 0.120019 0.0352406i
\(222\) −14.5133 + 3.37492i −0.974068 + 0.226510i
\(223\) −4.41935 4.05604i −0.295941 0.271613i 0.514426 0.857535i \(-0.328005\pi\)
−0.810367 + 0.585922i \(0.800732\pi\)
\(224\) −2.48936 + 4.12813i −0.166327 + 0.275822i
\(225\) 27.5770 + 15.5734i 1.83846 + 1.03823i
\(226\) −6.75636 + 2.41066i −0.449426 + 0.160355i
\(227\) 7.63933 29.0630i 0.507040 1.92898i 0.181895 0.983318i \(-0.441777\pi\)
0.325145 0.945664i \(-0.394587\pi\)
\(228\) 7.54360 6.16837i 0.499587 0.408511i
\(229\) 18.3740 18.9064i 1.21419 1.24937i 0.254892 0.966969i \(-0.417960\pi\)
0.959296 0.282401i \(-0.0911310\pi\)
\(230\) −0.828621 + 5.76319i −0.0546377 + 0.380013i
\(231\) −18.5525 + 50.7037i −1.22066 + 3.33606i
\(232\) −0.228511 1.58933i −0.0150025 0.104344i
\(233\) −17.8841 12.9936i −1.17163 0.851237i −0.180425 0.983589i \(-0.557747\pi\)
−0.991203 + 0.132352i \(0.957747\pi\)
\(234\) −1.25322 4.76773i −0.0819253 0.311676i
\(235\) −2.34230 3.42551i −0.152795 0.223456i
\(236\) −6.66626 1.55017i −0.433937 0.100908i
\(237\) −20.8105 + 1.18999i −1.35179 + 0.0772979i
\(238\) −15.0575 + 2.60581i −0.976036 + 0.168910i
\(239\) −6.20514 + 19.0974i −0.401377 + 1.23531i 0.522506 + 0.852636i \(0.324997\pi\)
−0.923883 + 0.382675i \(0.875003\pi\)
\(240\) −0.320680 3.73361i −0.0206998 0.241003i
\(241\) 0.531960 0.0342666 0.0171333 0.999853i \(-0.494546\pi\)
0.0171333 + 0.999853i \(0.494546\pi\)
\(242\) 10.2000 4.11831i 0.655679 0.264735i
\(243\) −68.2176 −4.37616
\(244\) −0.181606 2.11440i −0.0116261 0.135361i
\(245\) 5.56832 17.1375i 0.355747 1.09488i
\(246\) 3.01437 0.521658i 0.192189 0.0332597i
\(247\) 1.68993 0.0966337i 0.107528 0.00614865i
\(248\) 5.59490 + 1.30104i 0.355277 + 0.0826161i
\(249\) 28.3900 + 41.5191i 1.79914 + 2.63116i
\(250\) 2.47364 + 9.41071i 0.156447 + 0.595186i
\(251\) 0.276847 + 0.201141i 0.0174744 + 0.0126959i 0.596488 0.802622i \(-0.296562\pi\)
−0.579014 + 0.815318i \(0.696562\pi\)
\(252\) 5.76538 + 40.0991i 0.363185 + 2.52601i
\(253\) −13.8659 + 10.5153i −0.871739 + 0.661091i
\(254\) −2.41238 + 16.7784i −0.151366 + 1.05277i
\(255\) 8.27900 8.51889i 0.518451 0.533473i
\(256\) 0.774142 0.633012i 0.0483839 0.0395633i
\(257\) 0.815189 3.10130i 0.0508501 0.193454i −0.936873 0.349671i \(-0.886293\pi\)
0.987723 + 0.156217i \(0.0499299\pi\)
\(258\) 13.7845 4.91831i 0.858188 0.306201i
\(259\) 18.5213 + 10.4595i 1.15086 + 0.649919i
\(260\) 0.336146 0.557435i 0.0208469 0.0345707i
\(261\) −9.94138 9.12412i −0.615356 0.564769i
\(262\) −2.62888 + 0.611320i −0.162413 + 0.0377675i
\(263\) 13.3010 3.90553i 0.820176 0.240825i 0.155384 0.987854i \(-0.450338\pi\)
0.664792 + 0.747029i \(0.268520\pi\)
\(264\) 7.15935 8.61310i 0.440627 0.530100i
\(265\) −6.99151 2.05289i −0.429485 0.126108i
\(266\) −13.8876 0.794123i −0.851505 0.0486908i
\(267\) 40.3706 4.63210i 2.47064 0.283480i
\(268\) −4.41212 3.60777i −0.269513 0.220380i
\(269\) 0.947152 0.688146i 0.0577489 0.0419570i −0.558536 0.829480i \(-0.688637\pi\)
0.616285 + 0.787523i \(0.288637\pi\)
\(270\) −14.1129 14.5219i −0.858885 0.883772i
\(271\) −10.8081 1.24012i −0.656548 0.0753318i −0.220685 0.975345i \(-0.570829\pi\)
−0.435862 + 0.900013i \(0.643557\pi\)
\(272\) 3.12357 + 0.540555i 0.189394 + 0.0327760i
\(273\) −4.45634 + 8.44571i −0.269710 + 0.511157i
\(274\) −1.40797 3.08302i −0.0850585 0.186252i
\(275\) −6.23358 + 10.8337i −0.375899 + 0.653294i
\(276\) −7.36059 + 16.1174i −0.443055 + 0.970156i
\(277\) −10.6758 13.8446i −0.641444 0.831839i 0.353163 0.935562i \(-0.385106\pi\)
−0.994606 + 0.103723i \(0.966924\pi\)
\(278\) 10.3161 + 5.07208i 0.618718 + 0.304203i
\(279\) 43.3201 21.2990i 2.59350 1.27514i
\(280\) −3.26658 + 4.23618i −0.195216 + 0.253160i
\(281\) −2.44004 4.62439i −0.145561 0.275868i 0.800830 0.598891i \(-0.204392\pi\)
−0.946391 + 0.323023i \(0.895301\pi\)
\(282\) −3.90238 12.0103i −0.232383 0.715203i
\(283\) 6.36035 2.68791i 0.378084 0.159780i −0.191942 0.981406i \(-0.561479\pi\)
0.570026 + 0.821627i \(0.306933\pi\)
\(284\) 4.15668 + 10.6764i 0.246654 + 0.633525i
\(285\) 9.09673 5.84611i 0.538844 0.346294i
\(286\) 1.88554 0.479431i 0.111494 0.0283493i
\(287\) −3.67375 2.36098i −0.216855 0.139364i
\(288\) 1.66891 8.23641i 0.0983416 0.485335i
\(289\) −3.58953 5.95257i −0.211149 0.350151i
\(290\) −0.0508809 1.78106i −0.00298783 0.104588i
\(291\) 8.56006 21.9863i 0.501799 1.28886i
\(292\) 0.957989 + 4.72786i 0.0560621 + 0.276677i
\(293\) −1.20345 + 1.10451i −0.0703061 + 0.0645264i −0.710558 0.703639i \(-0.751557\pi\)
0.640252 + 0.768165i \(0.278830\pi\)
\(294\) 30.9519 45.2657i 1.80515 2.63995i
\(295\) −7.15315 2.55224i −0.416472 0.148597i
\(296\) −2.88952 3.33468i −0.167950 0.193825i
\(297\) 0.487144 60.5209i 0.0282670 3.51178i
\(298\) 8.17491 9.43434i 0.473560 0.546517i
\(299\) −2.68004 + 1.51349i −0.154991 + 0.0875272i
\(300\) −0.363415 + 12.7212i −0.0209818 + 0.734457i
\(301\) −19.2446 8.13284i −1.10924 0.468769i
\(302\) −1.62116 + 18.8749i −0.0932875 + 1.08613i
\(303\) 0.789340 9.19012i 0.0453464 0.527959i
\(304\) 2.65798 + 1.12327i 0.152446 + 0.0644241i
\(305\) 0.0672483 2.35400i 0.00385063 0.134790i
\(306\) 23.1967 13.0998i 1.32607 0.748864i
\(307\) −7.81704 + 9.02134i −0.446142 + 0.514875i −0.933622 0.358259i \(-0.883371\pi\)
0.487480 + 0.873134i \(0.337916\pi\)
\(308\) −15.8432 + 2.14790i −0.902753 + 0.122388i
\(309\) 2.82029 + 3.25479i 0.160441 + 0.185159i
\(310\) 6.00354 + 2.14206i 0.340978 + 0.121661i
\(311\) −5.84794 + 8.55234i −0.331606 + 0.484959i −0.954858 0.297062i \(-0.903993\pi\)
0.623252 + 0.782021i \(0.285811\pi\)
\(312\) 1.45943 1.33945i 0.0826239 0.0758316i
\(313\) 6.15792 + 30.3905i 0.348066 + 1.71777i 0.646129 + 0.763228i \(0.276387\pi\)
−0.298063 + 0.954546i \(0.596341\pi\)
\(314\) −7.42490 + 19.0707i −0.419012 + 1.07622i
\(315\) 1.28374 + 44.9367i 0.0723304 + 2.53189i
\(316\) −3.18750 5.28588i −0.179311 0.297354i
\(317\) 0.231270 1.14136i 0.0129894 0.0641052i −0.973064 0.230537i \(-0.925952\pi\)
0.986053 + 0.166432i \(0.0532245\pi\)
\(318\) −18.6544 11.9884i −1.04609 0.672278i
\(319\) 3.63237 3.89434i 0.203374 0.218041i
\(320\) 0.933527 0.599941i 0.0521857 0.0335377i
\(321\) −4.24890 10.9132i −0.237150 0.609115i
\(322\) 23.2984 9.84599i 1.29837 0.548696i
\(323\) 2.82667 + 8.69961i 0.157280 + 0.484059i
\(324\) −16.9924 32.2043i −0.944025 1.78913i
\(325\) −1.34994 + 1.75063i −0.0748812 + 0.0971076i
\(326\) −1.23711 + 0.608244i −0.0685170 + 0.0336875i
\(327\) 33.5056 + 16.4736i 1.85286 + 0.910992i
\(328\) 0.553186 + 0.717384i 0.0305446 + 0.0396109i
\(329\) −7.48872 + 16.3980i −0.412867 + 0.904052i
\(330\) 8.98235 8.58991i 0.494462 0.472859i
\(331\) −9.80972 21.4803i −0.539191 1.18066i −0.961650 0.274281i \(-0.911560\pi\)
0.422459 0.906382i \(-0.361167\pi\)
\(332\) −6.95069 + 13.1730i −0.381469 + 0.722964i
\(333\) −36.5380 6.32314i −2.00227 0.346506i
\(334\) −12.5397 1.43879i −0.686140 0.0787273i
\(335\) −4.40778 4.53550i −0.240823 0.247801i
\(336\) −13.1700 + 9.56855i −0.718481 + 0.522007i
\(337\) −26.0764 21.3226i −1.42047 1.16151i −0.962081 0.272762i \(-0.912063\pi\)
−0.458390 0.888751i \(-0.651574\pi\)
\(338\) −12.5734 + 1.44266i −0.683903 + 0.0784706i
\(339\) −24.1852 1.38296i −1.31356 0.0751120i
\(340\) 3.37521 + 0.991052i 0.183047 + 0.0537473i
\(341\) 8.26796 + 17.1637i 0.447735 + 0.929467i
\(342\) 23.2676 6.83197i 1.25817 0.369431i
\(343\) −43.3772 + 10.0869i −2.34215 + 0.544644i
\(344\) 3.19303 + 2.93054i 0.172157 + 0.158004i
\(345\) −10.1535 + 16.8376i −0.546644 + 0.906508i
\(346\) −12.2577 6.92227i −0.658981 0.372143i
\(347\) −11.8738 + 4.23657i −0.637420 + 0.227431i −0.634934 0.772566i \(-0.718973\pi\)
−0.00248523 + 0.999997i \(0.500791\pi\)
\(348\) 1.37844 5.24413i 0.0738922 0.281115i
\(349\) −4.70873 + 3.85031i −0.252053 + 0.206102i −0.750594 0.660763i \(-0.770233\pi\)
0.498542 + 0.866866i \(0.333869\pi\)
\(350\) 12.6612 13.0281i 0.676772 0.696382i
\(351\) 1.52341 10.5956i 0.0813137 0.565549i
\(352\) 3.24516 + 0.684792i 0.172968 + 0.0364996i
\(353\) −4.37122 30.4025i −0.232656 1.61816i −0.686535 0.727097i \(-0.740869\pi\)
0.453879 0.891064i \(-0.350040\pi\)
\(354\) −18.6982 13.5851i −0.993799 0.722038i
\(355\) 3.23204 + 12.2960i 0.171539 + 0.652602i
\(356\) 6.79206 + 9.93306i 0.359978 + 0.526451i
\(357\) −50.2633 11.6882i −2.66022 0.618607i
\(358\) 5.83930 0.333903i 0.308617 0.0176473i
\(359\) 1.79496 0.310630i 0.0947343 0.0163944i −0.122958 0.992412i \(-0.539238\pi\)
0.217692 + 0.976017i \(0.430147\pi\)
\(360\) 2.88176 8.86914i 0.151882 0.467445i
\(361\) −0.913376 10.6342i −0.0480724 0.559697i
\(362\) −7.47476 −0.392865
\(363\) 37.1416 + 0.597959i 1.94943 + 0.0313847i
\(364\) −2.82779 −0.148216
\(365\) 0.458088 + 5.33343i 0.0239774 + 0.279164i
\(366\) 2.21458 6.81576i 0.115758 0.356266i
\(367\) 15.7149 2.71957i 0.820310 0.141960i 0.255108 0.966913i \(-0.417889\pi\)
0.565202 + 0.824952i \(0.308798\pi\)
\(368\) −5.23838 + 0.299541i −0.273069 + 0.0156147i
\(369\) 7.41514 + 1.72432i 0.386017 + 0.0897644i
\(370\) −2.76374 4.04184i −0.143680 0.210125i
\(371\) 8.04709 + 30.6143i 0.417784 + 1.58942i
\(372\) 15.6932 + 11.4018i 0.813653 + 0.591154i
\(373\) −2.81259 19.5620i −0.145630 1.01288i −0.923265 0.384164i \(-0.874490\pi\)
0.777634 0.628717i \(-0.216420\pi\)
\(374\) 5.09608 + 9.19608i 0.263512 + 0.475518i
\(375\) −4.67633 + 32.5246i −0.241485 + 1.67956i
\(376\) 2.60625 2.68177i 0.134407 0.138302i
\(377\) 0.729156 0.596228i 0.0375535 0.0307073i
\(378\) −22.3631 + 85.0782i −1.15024 + 4.37595i
\(379\) −6.19980 + 2.21208i −0.318462 + 0.113627i −0.490443 0.871473i \(-0.663165\pi\)
0.171981 + 0.985100i \(0.444983\pi\)
\(380\) 2.78821 + 1.57457i 0.143032 + 0.0807740i
\(381\) −29.5599 + 49.0196i −1.51440 + 2.51135i
\(382\) −3.95579 3.63059i −0.202396 0.185757i
\(383\) 26.0150 6.04952i 1.32930 0.309116i 0.499084 0.866554i \(-0.333670\pi\)
0.830219 + 0.557437i \(0.188215\pi\)
\(384\) 3.24016 0.951397i 0.165349 0.0485508i
\(385\) −17.7381 + 0.363876i −0.904019 + 0.0185448i
\(386\) −7.97019 2.34026i −0.405672 0.119116i
\(387\) 36.3626 + 2.07929i 1.84841 + 0.105696i
\(388\) 6.94121 0.796430i 0.352387 0.0404326i
\(389\) 0.811761 + 0.663774i 0.0411579 + 0.0336547i 0.653368 0.757041i \(-0.273356\pi\)
−0.612210 + 0.790695i \(0.709719\pi\)
\(390\) 1.77839 1.29207i 0.0900520 0.0654266i
\(391\) −11.5920 11.9279i −0.586233 0.603220i
\(392\) 16.1325 + 1.85103i 0.814815 + 0.0934913i
\(393\) −8.98097 1.55422i −0.453030 0.0783999i
\(394\) −4.25196 + 8.05836i −0.214211 + 0.405974i
\(395\) −2.84543 6.23063i −0.143169 0.313497i
\(396\) 24.7550 12.8082i 1.24399 0.643637i
\(397\) 7.42389 16.2561i 0.372594 0.815868i −0.626734 0.779233i \(-0.715609\pi\)
0.999329 0.0366350i \(-0.0116639\pi\)
\(398\) 8.87679 + 11.5116i 0.444953 + 0.577026i
\(399\) −42.1548 20.7261i −2.11038 1.03760i
\(400\) −3.38193 + 1.66278i −0.169097 + 0.0831392i
\(401\) 11.3083 14.6648i 0.564708 0.732326i −0.419810 0.907612i \(-0.637903\pi\)
0.984518 + 0.175286i \(0.0560850\pi\)
\(402\) −8.98170 17.0222i −0.447966 0.848991i
\(403\) 1.04125 + 3.20463i 0.0518683 + 0.159634i
\(404\) 2.51600 1.06327i 0.125176 0.0528997i
\(405\) −14.6597 37.6531i −0.728446 1.87100i
\(406\) −6.51158 + 4.18474i −0.323164 + 0.207685i
\(407\) 2.61146 14.3995i 0.129446 0.713754i
\(408\) 9.00556 + 5.78752i 0.445842 + 0.286525i
\(409\) −3.03059 + 14.9565i −0.149853 + 0.739553i 0.832723 + 0.553690i \(0.186781\pi\)
−0.982576 + 0.185863i \(0.940492\pi\)
\(410\) 0.519116 + 0.860857i 0.0256373 + 0.0425147i
\(411\) −0.326839 11.4408i −0.0161218 0.564335i
\(412\) −0.462697 + 1.18843i −0.0227955 + 0.0585497i
\(413\) 6.55208 + 32.3358i 0.322407 + 1.59114i
\(414\) −32.4860 + 29.8154i −1.59660 + 1.46535i
\(415\) −9.32912 + 13.6434i −0.457949 + 0.669728i
\(416\) 0.552488 + 0.197127i 0.0270879 + 0.00966496i
\(417\) 25.4216 + 29.3381i 1.24490 + 1.43669i
\(418\) 2.62230 + 9.20414i 0.128261 + 0.450189i
\(419\) −1.38489 + 1.59825i −0.0676564 + 0.0780796i −0.788569 0.614947i \(-0.789178\pi\)
0.720912 + 0.693026i \(0.243723\pi\)
\(420\) −15.7296 + 8.88294i −0.767528 + 0.433443i
\(421\) −0.148070 + 5.18313i −0.00721650 + 0.252610i 0.987972 + 0.154632i \(0.0494193\pi\)
−0.995189 + 0.0979780i \(0.968763\pi\)
\(422\) −2.26443 0.956958i −0.110231 0.0465840i
\(423\) 2.68934 31.3114i 0.130760 1.52241i
\(424\) 0.561922 6.54234i 0.0272894 0.317724i
\(425\) −11.0042 4.65040i −0.533780 0.225577i
\(426\) −1.10482 + 38.6739i −0.0535289 + 1.87376i
\(427\) −8.90795 + 5.03055i −0.431086 + 0.243445i
\(428\) 2.27103 2.62091i 0.109775 0.126687i
\(429\) 6.49538 + 0.987320i 0.313600 + 0.0476682i
\(430\) 3.14947 + 3.63468i 0.151881 + 0.175280i
\(431\) 2.29660 + 0.819424i 0.110623 + 0.0394703i 0.390781 0.920484i \(-0.372205\pi\)
−0.280158 + 0.959954i \(0.590387\pi\)
\(432\) 10.3001 15.0635i 0.495566 0.724742i
\(433\) 21.2385 19.4926i 1.02066 0.936753i 0.0226452 0.999744i \(-0.492791\pi\)
0.998014 + 0.0629909i \(0.0200639\pi\)
\(434\) −5.49907 27.1390i −0.263964 1.30271i
\(435\) 2.18302 5.60704i 0.104668 0.268837i
\(436\) 0.315723 + 11.0517i 0.0151204 + 0.529282i
\(437\) −7.81851 12.9655i −0.374010 0.620226i
\(438\) −3.23508 + 15.9658i −0.154578 + 0.762873i
\(439\) −20.4951 13.1714i −0.978179 0.628637i −0.0492075 0.998789i \(-0.515670\pi\)
−0.928972 + 0.370151i \(0.879306\pi\)
\(440\) 3.49101 + 1.16545i 0.166427 + 0.0555605i
\(441\) 114.801 73.7779i 5.46670 3.51323i
\(442\) 0.674651 + 1.73283i 0.0320899 + 0.0824222i
\(443\) −36.6824 + 15.5021i −1.74283 + 0.736527i −0.745267 + 0.666766i \(0.767678\pi\)
−0.997564 + 0.0697609i \(0.977776\pi\)
\(444\) −4.60451 14.1712i −0.218521 0.672537i
\(445\) 6.23144 + 11.8099i 0.295399 + 0.559842i
\(446\) 3.66298 4.75023i 0.173447 0.224930i
\(447\) 37.8306 18.6001i 1.78933 0.879753i
\(448\) −4.32602 2.12696i −0.204385 0.100489i
\(449\) −17.0546 22.1169i −0.804858 1.04376i −0.998039 0.0625958i \(-0.980062\pi\)
0.193180 0.981163i \(-0.438120\pi\)
\(450\) −13.1564 + 28.8085i −0.620199 + 1.35805i
\(451\) −0.704049 + 2.92088i −0.0331524 + 0.137539i
\(452\) −2.97999 6.52528i −0.140167 0.306923i
\(453\) −29.8547 + 56.5809i −1.40269 + 2.65840i
\(454\) 29.6102 + 5.12424i 1.38967 + 0.240493i
\(455\) −3.11750 0.357700i −0.146151 0.0167692i
\(456\) 6.79129 + 6.98807i 0.318031 + 0.327247i
\(457\) 24.0254 17.4554i 1.12386 0.816531i 0.139070 0.990283i \(-0.455589\pi\)
0.984790 + 0.173751i \(0.0555888\pi\)
\(458\) 20.4094 + 16.6887i 0.953669 + 0.779811i
\(459\) 57.4702 6.59409i 2.68248 0.307786i
\(460\) −5.81295 0.332397i −0.271030 0.0154981i
\(461\) −38.4232 11.2821i −1.78954 0.525458i −0.793053 0.609152i \(-0.791510\pi\)
−0.996491 + 0.0836948i \(0.973328\pi\)
\(462\) −52.1053 14.1454i −2.42416 0.658105i
\(463\) 25.2790 7.42259i 1.17482 0.344957i 0.364642 0.931148i \(-0.381191\pi\)
0.810173 + 0.586191i \(0.199373\pi\)
\(464\) 1.56394 0.363679i 0.0726042 0.0168834i
\(465\) 15.8587 + 14.5550i 0.735430 + 0.674972i
\(466\) 11.4155 18.9304i 0.528812 0.876936i
\(467\) −7.01220 3.95997i −0.324486 0.183246i 0.320879 0.947120i \(-0.396022\pi\)
−0.645365 + 0.763875i \(0.723295\pi\)
\(468\) 4.64299 1.65662i 0.214622 0.0765771i
\(469\) −6.98451 + 26.5718i −0.322515 + 1.22697i
\(470\) 3.21250 2.62685i 0.148182 0.121167i
\(471\) −48.1651 + 49.5608i −2.21933 + 2.28364i
\(472\) 0.974021 6.77446i 0.0448329 0.311820i
\(473\) −0.936090 + 14.3437i −0.0430415 + 0.659525i
\(474\) −2.96648 20.6323i −0.136255 0.947674i
\(475\) −8.79774 6.39194i −0.403668 0.293282i
\(476\) −3.88480 14.7793i −0.178060 0.677409i
\(477\) −31.1476 45.5519i −1.42615 2.08568i
\(478\) −19.5584 4.54811i −0.894580 0.208026i
\(479\) −7.13959 + 0.408257i −0.326216 + 0.0186537i −0.219430 0.975628i \(-0.570420\pi\)
−0.106786 + 0.994282i \(0.534056\pi\)
\(480\) 3.69247 0.639007i 0.168537 0.0291665i
\(481\) 0.799840 2.46165i 0.0364695 0.112242i
\(482\) 0.0455225 + 0.530009i 0.00207349 + 0.0241412i
\(483\) 85.4148 3.88651
\(484\) 4.97607 + 9.81013i 0.226185 + 0.445915i
\(485\) 7.75310 0.352050
\(486\) −5.83772 67.9674i −0.264805 3.08306i
\(487\) −4.22989 + 13.0183i −0.191675 + 0.589914i 0.808325 + 0.588737i \(0.200375\pi\)
−0.999999 + 0.00117680i \(0.999625\pi\)
\(488\) 2.09110 0.361880i 0.0946598 0.0163815i
\(489\) −4.64769 + 0.265765i −0.210176 + 0.0120183i
\(490\) 17.5512 + 4.08135i 0.792882 + 0.184377i
\(491\) 21.6936 + 31.7259i 0.979019 + 1.43177i 0.900500 + 0.434857i \(0.143201\pi\)
0.0785192 + 0.996913i \(0.474981\pi\)
\(492\) 0.777699 + 2.95867i 0.0350614 + 0.133387i
\(493\) 4.11788 + 2.99181i 0.185460 + 0.134745i
\(494\) 0.240895 + 1.67546i 0.0108384 + 0.0753826i
\(495\) 28.9114 10.9891i 1.29947 0.493922i
\(496\) −0.817483 + 5.68572i −0.0367061 + 0.255296i
\(497\) 38.4917 39.6070i 1.72659 1.77662i
\(498\) −38.9373 + 31.8389i −1.74482 + 1.42673i
\(499\) −5.27202 + 20.0568i −0.236008 + 0.897868i 0.738636 + 0.674105i \(0.235470\pi\)
−0.974644 + 0.223763i \(0.928166\pi\)
\(500\) −9.16451 + 3.26989i −0.409849 + 0.146234i
\(501\) −37.1144 20.9595i −1.65815 0.936400i
\(502\) −0.176712 + 0.293044i −0.00788703 + 0.0130792i
\(503\) 19.4357 + 17.8379i 0.866595 + 0.795354i 0.980166 0.198176i \(-0.0635018\pi\)
−0.113571 + 0.993530i \(0.536229\pi\)
\(504\) −39.4587 + 9.17572i −1.75763 + 0.408719i
\(505\) 2.90827 0.853944i 0.129416 0.0380000i
\(506\) −11.6633 12.9152i −0.518497 0.574149i
\(507\) −41.0071 12.0408i −1.82119 0.534750i
\(508\) −16.9233 0.967711i −0.750851 0.0429352i
\(509\) 6.26424 0.718755i 0.277658 0.0318582i 0.0259559 0.999663i \(-0.491737\pi\)
0.251702 + 0.967805i \(0.419010\pi\)
\(510\) 9.19611 + 7.51963i 0.407211 + 0.332975i
\(511\) 18.8132 13.6686i 0.832247 0.604663i
\(512\) 0.696938 + 0.717132i 0.0308006 + 0.0316930i
\(513\) 52.3139 + 6.00246i 2.30971 + 0.265015i
\(514\) 3.15968 + 0.546805i 0.139368 + 0.0241185i
\(515\) −0.660432 + 1.25166i −0.0291021 + 0.0551546i
\(516\) 6.07988 + 13.3131i 0.267652 + 0.586076i
\(517\) 12.3483 + 1.16080i 0.543079 + 0.0510518i
\(518\) −8.83612 + 19.3484i −0.388237 + 0.850120i
\(519\) −29.0292 37.6457i −1.27424 1.65246i
\(520\) 0.584156 + 0.287210i 0.0256169 + 0.0125950i
\(521\) 24.5292 12.0602i 1.07464 0.528366i 0.183933 0.982939i \(-0.441117\pi\)
0.890710 + 0.454573i \(0.150208\pi\)
\(522\) 8.23992 10.6857i 0.360651 0.467701i
\(523\) −16.0266 30.3738i −0.700795 1.32815i −0.934541 0.355856i \(-0.884189\pi\)
0.233746 0.972298i \(-0.424902\pi\)
\(524\) −0.834044 2.56692i −0.0364354 0.112137i
\(525\) 56.5100 23.8813i 2.46630 1.04227i
\(526\) 5.02944 + 12.9180i 0.219294 + 0.563252i
\(527\) −15.3184 + 9.84457i −0.667282 + 0.428836i
\(528\) 9.19416 + 6.39602i 0.400125 + 0.278351i
\(529\) 3.81117 + 2.44929i 0.165703 + 0.106491i
\(530\) 1.44706 7.14154i 0.0628564 0.310209i
\(531\) −29.7014 49.2543i −1.28893 2.13745i
\(532\) −0.397223 13.9046i −0.0172218 0.602842i
\(533\) −0.192797 + 0.495195i −0.00835096 + 0.0214493i
\(534\) 8.06982 + 39.8261i 0.349215 + 1.72345i
\(535\) 2.83524 2.60216i 0.122578 0.112501i
\(536\) 3.21697 4.70467i 0.138952 0.203211i
\(537\) 18.6026 + 6.63739i 0.802761 + 0.286425i
\(538\) 0.766675 + 0.884790i 0.0330537 + 0.0381460i
\(539\) 28.7514 + 45.5399i 1.23841 + 1.96154i
\(540\) 13.2609 15.3039i 0.570657 0.658573i
\(541\) 19.7335 11.1440i 0.848410 0.479119i −0.00522756 0.999986i \(-0.501664\pi\)
0.853638 + 0.520867i \(0.174391\pi\)
\(542\) 0.310663 10.8746i 0.0133441 0.467105i
\(543\) −23.2509 9.82592i −0.997792 0.421670i
\(544\) −0.271273 + 3.15837i −0.0116307 + 0.135414i
\(545\) −1.04992 + 12.2239i −0.0449735 + 0.523616i
\(546\) −8.79608 3.71725i −0.376437 0.159084i
\(547\) 0.0899621 3.14909i 0.00384650 0.134645i −0.995399 0.0958138i \(-0.969455\pi\)
0.999246 0.0388314i \(-0.0123635\pi\)
\(548\) 2.95122 1.66663i 0.126070 0.0711950i
\(549\) 11.6791 13.4783i 0.498450 0.575242i
\(550\) −11.3274 5.28363i −0.483000 0.225295i
\(551\) 3.03417 + 3.50162i 0.129260 + 0.149174i
\(552\) −16.6882 5.95434i −0.710297 0.253433i
\(553\) −16.7954 + 24.5624i −0.714212 + 1.04450i
\(554\) 12.8802 11.8213i 0.547227 0.502240i
\(555\) −3.28367 16.2056i −0.139384 0.687888i
\(556\) −4.17067 + 10.7123i −0.176876 + 0.454302i
\(557\) −0.394819 13.8205i −0.0167290 0.585592i −0.964113 0.265493i \(-0.914465\pi\)
0.947384 0.320100i \(-0.103716\pi\)
\(558\) 24.9280 + 41.3385i 1.05529 + 1.75000i
\(559\) −0.504883 + 2.49169i −0.0213543 + 0.105387i
\(560\) −4.50018 2.89209i −0.190167 0.122213i
\(561\) 3.76314 + 35.3043i 0.158880 + 1.49055i
\(562\) 4.39862 2.82682i 0.185545 0.119242i
\(563\) 9.28936 + 23.8595i 0.391500 + 1.00556i 0.980341 + 0.197311i \(0.0632207\pi\)
−0.588841 + 0.808249i \(0.700416\pi\)
\(564\) 11.6323 4.91585i 0.489808 0.206995i
\(565\) −2.45989 7.57076i −0.103488 0.318504i
\(566\) 3.22233 + 6.10700i 0.135445 + 0.256696i
\(567\) −107.187 + 139.003i −4.50143 + 5.83756i
\(568\) −10.2815 + 5.05506i −0.431401 + 0.212106i
\(569\) −30.2484 14.8721i −1.26808 0.623472i −0.321794 0.946810i \(-0.604286\pi\)
−0.946284 + 0.323338i \(0.895195\pi\)
\(570\) 6.60312 + 8.56308i 0.276574 + 0.358668i
\(571\) 8.95013 19.5981i 0.374551 0.820153i −0.624677 0.780883i \(-0.714769\pi\)
0.999229 0.0392701i \(-0.0125033\pi\)
\(572\) 0.639027 + 1.83760i 0.0267191 + 0.0768338i
\(573\) −7.53226 16.4934i −0.314665 0.689020i
\(574\) 2.03793 3.86232i 0.0850617 0.161210i
\(575\) 19.4840 + 3.37184i 0.812538 + 0.140615i
\(576\) 8.34901 + 0.957960i 0.347876 + 0.0399150i
\(577\) 26.5776 + 27.3477i 1.10644 + 1.13850i 0.989377 + 0.145375i \(0.0464390\pi\)
0.117063 + 0.993124i \(0.462652\pi\)
\(578\) 5.62356 4.08575i 0.233909 0.169945i
\(579\) −21.7156 17.7568i −0.902470 0.737946i
\(580\) 1.77018 0.203109i 0.0735026 0.00843363i
\(581\) 71.6827 + 4.09897i 2.97390 + 0.170054i
\(582\) 22.6382 + 6.64718i 0.938384 + 0.275534i
\(583\) 18.0758 12.1476i 0.748623 0.503101i
\(584\) −4.62854 + 1.35906i −0.191530 + 0.0562384i
\(585\) 5.32823 1.23903i 0.220295 0.0512275i
\(586\) −1.20345 1.10451i −0.0497140 0.0456271i
\(587\) −13.9050 + 23.0588i −0.573920 + 0.951739i 0.424997 + 0.905195i \(0.360275\pi\)
−0.998916 + 0.0465440i \(0.985179\pi\)
\(588\) 47.7483 + 26.9647i 1.96911 + 1.11201i
\(589\) −15.6114 + 5.57013i −0.643256 + 0.229513i
\(590\) 1.93075 7.34532i 0.0794875 0.302402i
\(591\) −23.8192 + 19.4768i −0.979790 + 0.801170i
\(592\) 3.07518 3.16429i 0.126389 0.130051i
\(593\) −3.48677 + 24.2510i −0.143185 + 0.995871i 0.783865 + 0.620932i \(0.213246\pi\)
−0.927049 + 0.374939i \(0.877664\pi\)
\(594\) 60.3406 4.69372i 2.47580 0.192586i
\(595\) −2.41331 16.7849i −0.0989359 0.688114i
\(596\) 10.0993 + 7.33757i 0.413684 + 0.300559i
\(597\) 12.4795 + 47.4769i 0.510751 + 1.94310i
\(598\) −1.73728 2.54069i −0.0710426 0.103897i
\(599\) −10.8021 2.51193i −0.441364 0.102635i −7.50892e−5 1.00000i \(-0.500024\pi\)
−0.441288 + 0.897365i \(0.645478\pi\)
\(600\) −12.7056 + 0.726533i −0.518704 + 0.0296606i
\(601\) −42.2323 + 7.30859i −1.72269 + 0.298124i −0.944161 0.329483i \(-0.893126\pi\)
−0.778531 + 0.627607i \(0.784035\pi\)
\(602\) 6.45615 19.8700i 0.263133 0.809840i
\(603\) −4.09872 47.7206i −0.166913 1.94333i
\(604\) −18.9444 −0.770835
\(605\) 4.24495 + 11.4447i 0.172582 + 0.465291i
\(606\) 9.22395 0.374698
\(607\) −0.280912 3.27060i −0.0114019 0.132750i 0.988417 0.151760i \(-0.0484940\pi\)
−0.999819 + 0.0190101i \(0.993949\pi\)
\(608\) −0.891695 + 2.74435i −0.0361630 + 0.111298i
\(609\) −25.7559 + 4.45723i −1.04368 + 0.180616i
\(610\) 2.35112 0.134442i 0.0951940 0.00544339i
\(611\) 2.13664 + 0.496854i 0.0864391 + 0.0201005i
\(612\) 15.0368 + 21.9906i 0.607826 + 0.888917i
\(613\) −9.60239 36.5313i −0.387837 1.47548i −0.819306 0.573356i \(-0.805641\pi\)
0.431469 0.902128i \(-0.357995\pi\)
\(614\) −9.65719 7.01636i −0.389733 0.283157i
\(615\) 0.483120 + 3.36017i 0.0194813 + 0.135495i
\(616\) −3.49581 15.6013i −0.140850 0.628595i
\(617\) 1.87408 13.0345i 0.0754476 0.524750i −0.916690 0.399599i \(-0.869149\pi\)
0.992138 0.125151i \(-0.0399415\pi\)
\(618\) −3.00150 + 3.08847i −0.120738 + 0.124237i
\(619\) −6.27322 + 5.12959i −0.252142 + 0.206175i −0.750633 0.660719i \(-0.770251\pi\)
0.498491 + 0.866895i \(0.333888\pi\)
\(620\) −1.62045 + 6.16483i −0.0650788 + 0.247585i
\(621\) −90.1796 + 32.1760i −3.61878 + 1.29118i
\(622\) −9.02141 5.09462i −0.361725 0.204276i
\(623\) 29.9549 49.6746i 1.20012 1.99017i
\(624\) 1.45943 + 1.33945i 0.0584239 + 0.0536210i
\(625\) 7.83624 1.82224i 0.313449 0.0728895i
\(626\) −29.7521 + 8.73600i −1.18913 + 0.349161i
\(627\) −3.94238 + 32.0774i −0.157443 + 1.28105i
\(628\) −19.6361 5.76569i −0.783567 0.230076i
\(629\) 13.9646 + 0.798523i 0.556804 + 0.0318392i
\(630\) −44.6620 + 5.12448i −1.77938 + 0.204164i
\(631\) 13.8364 + 11.3139i 0.550817 + 0.450401i 0.867008 0.498295i \(-0.166040\pi\)
−0.316191 + 0.948696i \(0.602404\pi\)
\(632\) 4.99372 3.62815i 0.198639 0.144320i
\(633\) −5.78576 5.95340i −0.229963 0.236627i
\(634\) 1.15697 + 0.132749i 0.0459490 + 0.00527215i
\(635\) −18.5348 3.20757i −0.735529 0.127288i
\(636\) 10.3481 19.6119i 0.410329 0.777661i
\(637\) 3.95702 + 8.66466i 0.156783 + 0.343306i
\(638\) 4.19089 + 3.28579i 0.165919 + 0.130086i
\(639\) −39.9970 + 87.5813i −1.58226 + 3.46466i
\(640\) 0.677627 + 0.878763i 0.0267856 + 0.0347361i
\(641\) −8.51667 4.18737i −0.336388 0.165391i 0.265208 0.964191i \(-0.414559\pi\)
−0.601596 + 0.798800i \(0.705468\pi\)
\(642\) 10.5096 5.16721i 0.414780 0.203933i
\(643\) −23.7382 + 30.7842i −0.936142 + 1.21401i 0.0405098 + 0.999179i \(0.487102\pi\)
−0.976651 + 0.214831i \(0.931080\pi\)
\(644\) 11.8036 + 22.3704i 0.465129 + 0.881517i
\(645\) 5.01875 + 15.4461i 0.197613 + 0.608190i
\(646\) −8.42580 + 3.56077i −0.331509 + 0.140097i
\(647\) 6.51616 + 16.7366i 0.256177 + 0.657984i 0.999945 0.0104527i \(-0.00332727\pi\)
−0.743769 + 0.668437i \(0.766964\pi\)
\(648\) 30.6320 19.6860i 1.20334 0.773339i
\(649\) 19.5323 11.5651i 0.766711 0.453969i
\(650\) −1.85973 1.19518i −0.0729447 0.0468787i
\(651\) 18.5701 91.6470i 0.727820 3.59193i
\(652\) −0.711878 1.18052i −0.0278793 0.0462326i
\(653\) 0.618154 + 21.6382i 0.0241902 + 0.846769i 0.917595 + 0.397516i \(0.130128\pi\)
−0.893405 + 0.449252i \(0.851690\pi\)
\(654\) −13.5459 + 34.7924i −0.529688 + 1.36049i
\(655\) −0.594792 2.93541i −0.0232404 0.114696i
\(656\) −0.667414 + 0.612547i −0.0260581 + 0.0239159i
\(657\) −22.8822 + 33.4642i −0.892720 + 1.30556i
\(658\) −16.9787 6.05799i −0.661899 0.236165i
\(659\) −9.27612 10.7052i −0.361346 0.417016i 0.545744 0.837952i \(-0.316247\pi\)
−0.907090 + 0.420936i \(0.861702\pi\)
\(660\) 9.32707 + 8.21432i 0.363056 + 0.319742i
\(661\) 13.7054 15.8169i 0.533078 0.615205i −0.423778 0.905766i \(-0.639296\pi\)
0.956856 + 0.290561i \(0.0938419\pi\)
\(662\) 20.5620 11.6119i 0.799166 0.451310i
\(663\) −0.179319 + 6.27698i −0.00696416 + 0.243778i
\(664\) −13.7195 5.79791i −0.532420 0.225003i
\(665\) 1.32094 15.3794i 0.0512239 0.596389i
\(666\) 3.17321 36.9450i 0.122959 1.43159i
\(667\) −7.76033 3.27954i −0.300481 0.126984i
\(668\) 0.360433 12.6168i 0.0139456 0.488159i
\(669\) 17.6384 9.96087i 0.681940 0.385109i
\(670\) 4.14167 4.77974i 0.160007 0.184657i
\(671\) 5.28207 + 4.65190i 0.203912 + 0.179585i
\(672\) −10.6605 12.3028i −0.411237 0.474592i
\(673\) −41.0371 14.6420i −1.58187 0.564408i −0.608477 0.793572i \(-0.708219\pi\)
−0.973388 + 0.229163i \(0.926401\pi\)
\(674\) 19.0128 27.8054i 0.732348 1.07102i
\(675\) −50.6661 + 46.5010i −1.95014 + 1.78982i
\(676\) −2.51334 12.4038i −0.0966669 0.477070i
\(677\) 10.5653 27.1368i 0.406058 1.04295i −0.569262 0.822156i \(-0.692771\pi\)
0.975320 0.220795i \(-0.0708653\pi\)
\(678\) −0.691761 24.2148i −0.0265669 0.929964i
\(679\) −17.3925 28.8422i −0.667463 1.10686i
\(680\) −0.698582 + 3.44764i −0.0267894 + 0.132211i
\(681\) 85.3690 + 54.8633i 3.27135 + 2.10237i
\(682\) −16.3932 + 9.70641i −0.627729 + 0.371678i
\(683\) −26.9905 + 17.3458i −1.03276 + 0.663717i −0.943187 0.332263i \(-0.892188\pi\)
−0.0895767 + 0.995980i \(0.528551\pi\)
\(684\) 8.79803 + 22.5976i 0.336401 + 0.864040i
\(685\) 3.46440 1.46407i 0.132368 0.0559392i
\(686\) −13.7620 42.3549i −0.525434 1.61712i
\(687\) 41.5472 + 78.7408i 1.58513 + 3.00415i
\(688\) −2.64654 + 3.43210i −0.100899 + 0.130848i
\(689\) 3.45667 1.69953i 0.131689 0.0647470i
\(690\) −17.6448 8.67534i −0.671724 0.330265i
\(691\) −3.59046 4.65619i −0.136588 0.177130i 0.718640 0.695382i \(-0.244765\pi\)
−0.855228 + 0.518252i \(0.826583\pi\)
\(692\) 5.84792 12.8052i 0.222305 0.486779i
\(693\) −105.737 82.9012i −4.01662 3.14916i
\(694\) −5.23713 11.4677i −0.198799 0.435308i
\(695\) −5.95302 + 11.2822i −0.225811 + 0.427959i
\(696\) 5.34286 + 0.924618i 0.202520 + 0.0350475i
\(697\) −2.85298 0.327349i −0.108064 0.0123992i
\(698\) −4.23914 4.36197i −0.160454 0.165103i
\(699\) 60.3938 43.8786i 2.28430 1.65964i
\(700\) 14.0638 + 11.4999i 0.531562 + 0.434656i
\(701\) 21.9995 2.52420i 0.830908 0.0953378i 0.311908 0.950112i \(-0.399032\pi\)
0.519000 + 0.854774i \(0.326305\pi\)
\(702\) 10.6871 + 0.611108i 0.403357 + 0.0230648i
\(703\) 12.2167 + 3.58714i 0.460760 + 0.135291i
\(704\) −0.404576 + 3.29186i −0.0152480 + 0.124067i
\(705\) 13.4459 3.94807i 0.506401 0.148693i
\(706\) 29.9169 6.95687i 1.12594 0.261825i
\(707\) −9.70086 8.90337i −0.364838 0.334846i
\(708\) 11.9351 19.7922i 0.448549 0.743836i
\(709\) 13.1814 + 7.44387i 0.495038 + 0.279561i 0.718966 0.695045i \(-0.244616\pi\)
−0.223929 + 0.974606i \(0.571888\pi\)
\(710\) −11.9743 + 4.27241i −0.449387 + 0.160341i
\(711\) 13.1871 50.1688i 0.494554 1.88148i
\(712\) −9.31540 + 7.61716i −0.349109 + 0.285465i
\(713\) 21.0053 21.6139i 0.786653 0.809447i
\(714\) 7.34407 51.0791i 0.274845 1.91159i
\(715\) 0.472051 + 2.10670i 0.0176537 + 0.0787860i
\(716\) 0.832377 + 5.78931i 0.0311074 + 0.216357i
\(717\) −54.8594 39.8577i −2.04876 1.48851i
\(718\) 0.463094 + 1.76179i 0.0172825 + 0.0657495i
\(719\) −29.8375 43.6360i −1.11275 1.62735i −0.695440 0.718584i \(-0.744791\pi\)
−0.417311 0.908764i \(-0.637027\pi\)
\(720\) 9.08321 + 2.11221i 0.338511 + 0.0787174i
\(721\) 6.13782 0.350973i 0.228584 0.0130709i
\(722\) 10.5171 1.82005i 0.391405 0.0677353i
\(723\) −0.555119 + 1.70848i −0.0206451 + 0.0635391i
\(724\) −0.639653 7.44734i −0.0237725 0.276778i
\(725\) −6.05113 −0.224733
\(726\) 2.58263 + 37.0566i 0.0958504 + 1.37530i
\(727\) 42.2212 1.56590 0.782949 0.622086i \(-0.213714\pi\)
0.782949 + 0.622086i \(0.213714\pi\)
\(728\) −0.241988 2.81741i −0.00896866 0.104420i
\(729\) 37.4314 115.202i 1.38635 4.26674i
\(730\) −5.27466 + 0.912816i −0.195224 + 0.0337848i
\(731\) −13.7164 + 0.784330i −0.507318 + 0.0290095i
\(732\) 6.98027 + 1.62319i 0.257998 + 0.0599949i
\(733\) −8.82376 12.9043i −0.325913 0.476632i 0.627366 0.778725i \(-0.284133\pi\)
−0.953279 + 0.302092i \(0.902315\pi\)
\(734\) 4.05439 + 15.4245i 0.149650 + 0.569329i
\(735\) 49.2294 + 35.7672i 1.81585 + 1.31929i
\(736\) −0.746717 5.19353i −0.0275244 0.191436i
\(737\) 18.8457 1.46595i 0.694191 0.0539991i
\(738\) −1.08344 + 7.53550i −0.0398820 + 0.277386i
\(739\) 8.45408 8.69904i 0.310988 0.320000i −0.543561 0.839370i \(-0.682924\pi\)
0.854549 + 0.519370i \(0.173833\pi\)
\(740\) 3.79051 3.09948i 0.139342 0.113939i
\(741\) −1.45315 + 5.52834i −0.0533826 + 0.203089i
\(742\) −29.8134 + 10.6374i −1.09448 + 0.390511i
\(743\) 27.7014 + 15.6437i 1.01626 + 0.573911i 0.907454 0.420151i \(-0.138023\pi\)
0.108811 + 0.994062i \(0.465296\pi\)
\(744\) −10.0170 + 16.6113i −0.367241 + 0.609000i
\(745\) 10.2058 + 9.36683i 0.373913 + 0.343174i
\(746\) 19.2495 4.47629i 0.704776 0.163889i
\(747\) −120.099 + 35.2641i −4.39417 + 1.29025i
\(748\) −8.72625 + 5.86434i −0.319063 + 0.214422i
\(749\) −16.0406 4.70993i −0.586109 0.172097i
\(750\) −32.8054 1.87588i −1.19789 0.0684976i
\(751\) 9.29215 1.06617i 0.339075 0.0389053i 0.0572183 0.998362i \(-0.481777\pi\)
0.281857 + 0.959456i \(0.409050\pi\)
\(752\) 2.89496 + 2.36720i 0.105568 + 0.0863229i
\(753\) −0.934897 + 0.679242i −0.0340695 + 0.0247530i
\(754\) 0.656439 + 0.675459i 0.0239061 + 0.0245988i
\(755\) −20.8853 2.39636i −0.760093 0.0872125i
\(756\) −86.6799 15.0005i −3.15252 0.545564i
\(757\) −13.8959 + 26.3356i −0.505053 + 0.957183i 0.491229 + 0.871031i \(0.336548\pi\)
−0.996282 + 0.0861520i \(0.972543\pi\)
\(758\) −2.73452 5.98775i −0.0993221 0.217485i
\(759\) −19.3022 55.5057i −0.700624 2.01473i
\(760\) −1.33020 + 2.91273i −0.0482513 + 0.105656i
\(761\) 16.1036 + 20.8835i 0.583754 + 0.757026i 0.987461 0.157862i \(-0.0504603\pi\)
−0.403707 + 0.914888i \(0.632278\pi\)
\(762\) −51.3694 25.2566i −1.86092 0.914952i
\(763\) 47.8295 23.5162i 1.73154 0.851343i
\(764\) 3.27876 4.25197i 0.118621 0.153831i
\(765\) 13.7956 + 26.1457i 0.498783 + 0.945298i
\(766\) 8.25356 + 25.4019i 0.298213 + 0.917806i
\(767\) 3.69811 1.56283i 0.133531 0.0564307i
\(768\) 1.22518 + 3.14686i 0.0442100 + 0.113552i
\(769\) 4.28664 2.75486i 0.154580 0.0993426i −0.461064 0.887367i \(-0.652532\pi\)
0.615644 + 0.788024i \(0.288896\pi\)
\(770\) −1.88048 17.6419i −0.0677679 0.635771i
\(771\) 9.10968 + 5.85443i 0.328077 + 0.210842i
\(772\) 1.64963 8.14123i 0.0593713 0.293009i
\(773\) 1.06889 + 1.77256i 0.0384453 + 0.0637544i 0.874978 0.484162i \(-0.160876\pi\)
−0.836533 + 0.547917i \(0.815421\pi\)
\(774\) 1.04007 + 36.4071i 0.0373845 + 1.30863i
\(775\) 7.85389 20.1725i 0.282120 0.724619i
\(776\) 1.38750 + 6.84760i 0.0498084 + 0.245814i
\(777\) −52.9199 + 48.5695i −1.89849 + 1.74242i
\(778\) −0.591872 + 0.865586i −0.0212197 + 0.0310328i
\(779\) −2.46203 0.878450i −0.0882113 0.0314737i
\(780\) 1.43952 + 1.66129i 0.0515430 + 0.0594838i
\(781\) −34.4365 16.0629i −1.23223 0.574774i
\(782\) 10.8922 12.5702i 0.389503 0.449510i
\(783\) 25.5136 14.4082i 0.911781 0.514906i
\(784\) −0.463703 + 16.2317i −0.0165608 + 0.579705i
\(785\) −20.9186 8.84027i −0.746616 0.315523i
\(786\) 0.779970 9.08103i 0.0278206 0.323910i
\(787\) −0.171999 + 2.00254i −0.00613109 + 0.0713830i −0.998758 0.0498286i \(-0.984132\pi\)
0.992627 + 0.121212i \(0.0386779\pi\)
\(788\) −8.39266 3.54677i −0.298976 0.126348i
\(789\) −1.33680 + 46.7941i −0.0475913 + 1.66591i
\(790\) 5.96428 3.36818i 0.212200 0.119835i
\(791\) −22.6457 + 26.1345i −0.805187 + 0.929235i
\(792\) 14.8796 + 23.5681i 0.528725 + 0.837457i
\(793\) 0.815222 + 0.940817i 0.0289494 + 0.0334094i
\(794\) 16.8317 + 6.00555i 0.597336 + 0.213129i
\(795\) 13.8891 20.3122i 0.492596 0.720398i
\(796\) −10.7098 + 9.82933i −0.379598 + 0.348392i
\(797\) 2.18874 + 10.8019i 0.0775292 + 0.382622i 0.999994 0.00345952i \(-0.00110120\pi\)
−0.922465 + 0.386081i \(0.873828\pi\)
\(798\) 17.0427 43.7738i 0.603304 1.54957i
\(799\) 0.338517 + 11.8496i 0.0119759 + 0.419210i
\(800\) −1.94609 3.22724i −0.0688048 0.114100i
\(801\) −20.0824 + 99.1103i −0.709575 + 3.50189i
\(802\) 15.5787 + 10.0118i 0.550104 + 0.353531i
\(803\) −13.1338 9.13666i −0.463481 0.322426i
\(804\) 16.1912 10.4054i 0.571018 0.366971i
\(805\) 10.1832 + 26.1554i 0.358911 + 0.921856i
\(806\) −3.10377 + 1.31167i −0.109326 + 0.0462014i
\(807\) 1.22171 + 3.76005i 0.0430063 + 0.132360i
\(808\) 1.27468 + 2.41578i 0.0448430 + 0.0849869i
\(809\) 5.70045 7.39247i 0.200417 0.259905i −0.680958 0.732322i \(-0.738436\pi\)
0.881375 + 0.472417i \(0.156618\pi\)
\(810\) 36.2605 17.8281i 1.27406 0.626415i
\(811\) 10.6202 + 5.22160i 0.372925 + 0.183355i 0.618054 0.786135i \(-0.287921\pi\)
−0.245129 + 0.969491i \(0.578830\pi\)
\(812\) −4.72662 6.12958i −0.165872 0.215106i
\(813\) 15.2615 33.4181i 0.535245 1.17202i
\(814\) 14.5701 + 1.36965i 0.510682 + 0.0480063i
\(815\) −0.635483 1.39151i −0.0222600 0.0487426i
\(816\) −4.99564 + 9.46780i −0.174882 + 0.331439i
\(817\) −12.3229 2.13257i −0.431125 0.0746091i
\(818\) −15.1610 1.73956i −0.530092 0.0608224i
\(819\) −16.5621 17.0420i −0.578727 0.595496i
\(820\) −0.813276 + 0.590879i −0.0284008 + 0.0206344i
\(821\) 27.3176 + 22.3375i 0.953392 + 0.779585i 0.975461 0.220171i \(-0.0706617\pi\)
−0.0220688 + 0.999756i \(0.507025\pi\)
\(822\) 11.3709 1.30469i 0.396606 0.0455063i
\(823\) −37.0485 2.11851i −1.29143 0.0738466i −0.602174 0.798365i \(-0.705699\pi\)
−0.689256 + 0.724518i \(0.742062\pi\)
\(824\) −1.22366 0.359300i −0.0426284 0.0125168i
\(825\) −28.2892 31.3255i −0.984902 1.09061i
\(826\) −31.6565 + 9.29518i −1.10147 + 0.323421i
\(827\) 5.12113 1.19087i 0.178079 0.0414105i −0.136509 0.990639i \(-0.543588\pi\)
0.314588 + 0.949228i \(0.398134\pi\)
\(828\) −32.4860 29.8154i −1.12897 1.03616i
\(829\) −28.1246 + 46.6393i −0.976806 + 1.61985i −0.210277 + 0.977642i \(0.567436\pi\)
−0.766529 + 0.642209i \(0.778018\pi\)
\(830\) −14.3917 8.12737i −0.499543 0.282105i
\(831\) 55.6047 19.8397i 1.92890 0.688232i
\(832\) −0.149125 + 0.567330i −0.00516998 + 0.0196686i
\(833\) −39.8494 + 32.5847i −1.38070 + 1.12899i
\(834\) −27.0550 + 27.8390i −0.936840 + 0.963985i
\(835\) 1.99332 13.8638i 0.0689816 0.479778i
\(836\) −8.94597 + 3.40032i −0.309403 + 0.117603i
\(837\) 14.9177 + 103.755i 0.515631 + 3.58629i
\(838\) −1.71090 1.24304i −0.0591020 0.0429401i
\(839\) −8.60744 32.7461i −0.297162 1.13052i −0.933344 0.358982i \(-0.883124\pi\)
0.636183 0.771539i \(-0.280512\pi\)
\(840\) −10.1964 14.9118i −0.351810 0.514505i
\(841\) −25.7352 5.98446i −0.887420 0.206361i
\(842\) −5.17679 + 0.296020i −0.178404 + 0.0102015i
\(843\) 17.3983 3.01089i 0.599229 0.103701i
\(844\) 0.759668 2.33802i 0.0261489 0.0804779i
\(845\) −1.20182 13.9926i −0.0413439 0.481358i
\(846\) 31.4266 1.08047
\(847\) 33.0525 41.4654i 1.13570 1.42477i
\(848\) 6.56643 0.225492
\(849\) 1.99542 + 23.2323i 0.0684827 + 0.797330i
\(850\) 3.69166 11.3618i 0.126623 0.389705i
\(851\) −22.8126 + 3.94788i −0.782006 + 0.135331i
\(852\) −38.6266 + 2.20875i −1.32332 + 0.0756704i
\(853\) 51.6876 + 12.0194i 1.76975 + 0.411538i 0.979532 0.201288i \(-0.0645129\pi\)
0.790218 + 0.612826i \(0.209967\pi\)
\(854\) −5.77440 8.44478i −0.197596 0.288975i
\(855\) 6.84094 + 26.0256i 0.233955 + 0.890058i
\(856\) 2.80564 + 2.03842i 0.0958949 + 0.0696717i
\(857\) −1.04961 7.30019i −0.0358540 0.249370i 0.964010 0.265866i \(-0.0856579\pi\)
−0.999864 + 0.0164963i \(0.994749\pi\)
\(858\) −0.427856 + 6.55604i −0.0146068 + 0.223820i
\(859\) 2.22089 15.4466i 0.0757758 0.527032i −0.916211 0.400695i \(-0.868769\pi\)
0.991987 0.126337i \(-0.0403222\pi\)
\(860\) −3.35183 + 3.44895i −0.114296 + 0.117608i
\(861\) 11.4164 9.33512i 0.389069 0.318140i
\(862\) −0.619887 + 2.35829i −0.0211134 + 0.0803238i
\(863\) −9.30848 + 3.32126i −0.316864 + 0.113057i −0.489693 0.871895i \(-0.662891\pi\)
0.172829 + 0.984952i \(0.444709\pi\)
\(864\) 15.8897 + 8.97331i 0.540577 + 0.305278i
\(865\) 8.06684 13.3773i 0.274281 0.454843i
\(866\) 21.2385 + 19.4926i 0.721715 + 0.662384i
\(867\) 22.8635 5.31667i 0.776484 0.180564i
\(868\) 26.5689 7.80132i 0.901806 0.264794i
\(869\) 19.7570 + 5.36358i 0.670211 + 0.181947i
\(870\) 5.77329 + 1.69519i 0.195733 + 0.0574723i
\(871\) 3.33781 + 0.190863i 0.113097 + 0.00646714i
\(872\) −10.9842 + 1.26032i −0.371971 + 0.0426797i
\(873\) 45.4539 + 37.1675i 1.53838 + 1.25793i
\(874\) 12.2489 8.89935i 0.414325 0.301025i
\(875\) 32.6909 + 33.6381i 1.10515 + 1.13718i
\(876\) −16.1840 1.85695i −0.546808 0.0627404i
\(877\) −9.22154 1.59585i −0.311389 0.0538880i 0.0126854 0.999920i \(-0.495962\pi\)
−0.324075 + 0.946031i \(0.605053\pi\)
\(878\) 11.3692 21.5471i 0.383693 0.727179i
\(879\) −2.29150 5.01768i −0.0772902 0.169242i
\(880\) −0.862428 + 3.57794i −0.0290724 + 0.120612i
\(881\) −7.14121 + 15.6371i −0.240594 + 0.526826i −0.990954 0.134203i \(-0.957153\pi\)
0.750360 + 0.661029i \(0.229880\pi\)
\(882\) 83.3313 + 108.066i 2.80591 + 3.63877i
\(883\) 49.2514 + 24.2153i 1.65744 + 0.814909i 0.998004 + 0.0631506i \(0.0201149\pi\)
0.659438 + 0.751759i \(0.270794\pi\)
\(884\) −1.66874 + 0.820463i −0.0561257 + 0.0275952i
\(885\) 15.6615 20.3102i 0.526456 0.682720i
\(886\) −18.5843 35.2212i −0.624352 1.18328i
\(887\) −11.5122 35.4310i −0.386543 1.18966i −0.935355 0.353711i \(-0.884920\pi\)
0.548812 0.835946i \(-0.315080\pi\)
\(888\) 13.7252 5.80033i 0.460588 0.194646i
\(889\) 29.6465 + 76.1465i 0.994313 + 2.55387i
\(890\) −11.2333 + 7.21921i −0.376541 + 0.241989i
\(891\) 114.551 + 38.2420i 3.83761 + 1.28116i
\(892\) 5.04627 + 3.24304i 0.168961 + 0.108585i
\(893\) −2.14296 + 10.5759i −0.0717116 + 0.353911i
\(894\) 21.7692 + 36.1002i 0.728071 + 1.20737i
\(895\) 0.185339 + 6.48773i 0.00619521 + 0.216861i
\(896\) 1.74896 4.49216i 0.0584286 0.150073i
\(897\) −2.06411 10.1868i −0.0689186 0.340127i
\(898\) 20.5763 18.8847i 0.686639 0.630192i
\(899\) −5.20601 + 7.61355i −0.173630 + 0.253926i
\(900\) −29.8287 10.6429i −0.994290 0.354762i
\(901\) 13.6313 + 15.7314i 0.454125 + 0.524088i
\(902\) −2.97041 0.451512i −0.0989038 0.0150337i
\(903\) 46.2024 53.3204i 1.53752 1.77439i
\(904\) 6.24633 3.52746i 0.207750 0.117322i
\(905\) 0.236862 8.29125i 0.00787356 0.275611i
\(906\) −58.9281 24.9032i −1.95776 0.827355i
\(907\) 4.13808 48.1788i 0.137403 1.59975i −0.525332 0.850897i \(-0.676059\pi\)
0.662735 0.748854i \(-0.269396\pi\)
\(908\) −2.57155 + 29.9401i −0.0853400 + 0.993596i
\(909\) 21.1439 + 8.93550i 0.701300 + 0.296372i
\(910\) 0.0896075 3.13667i 0.00297046 0.103980i
\(911\) −19.3003 + 10.8994i −0.639447 + 0.361113i −0.777108 0.629367i \(-0.783314\pi\)
0.137661 + 0.990479i \(0.456042\pi\)
\(912\) −6.38128 + 7.36438i −0.211305 + 0.243859i
\(913\) −13.5353 47.5083i −0.447953 1.57230i
\(914\) 19.4474 + 22.4435i 0.643262 + 0.742364i
\(915\) 7.49009 + 2.67246i 0.247615 + 0.0883488i
\(916\) −14.8809 + 21.7627i −0.491680 + 0.719059i
\(917\) −9.58571 + 8.79768i −0.316548 + 0.290525i
\(918\) 11.4879 + 56.6951i 0.379157 + 1.87122i
\(919\) −13.0925 + 33.6279i −0.431883 + 1.10928i 0.532887 + 0.846187i \(0.321107\pi\)
−0.964770 + 0.263096i \(0.915256\pi\)
\(920\) −0.166266 5.82008i −0.00548163 0.191882i
\(921\) −20.8162 34.5198i −0.685918 1.13747i
\(922\) 7.95261 39.2477i 0.261905 1.29255i
\(923\) −5.65381 3.63348i −0.186097 0.119597i
\(924\) 9.63462 53.1247i 0.316956 1.74767i
\(925\) −13.9889 + 8.99012i −0.459952 + 0.295593i
\(926\) 9.55861 + 24.5511i 0.314115 + 0.806799i
\(927\) −9.87219 + 4.17202i −0.324245 + 0.137027i
\(928\) 0.496180 + 1.52708i 0.0162879 + 0.0501290i
\(929\) −17.7370 33.6154i −0.581933 1.10289i −0.982438 0.186591i \(-0.940256\pi\)
0.400505 0.916295i \(-0.368835\pi\)
\(930\) −13.1445 + 17.0461i −0.431025 + 0.558963i
\(931\) −42.0496 + 20.6744i −1.37812 + 0.677575i
\(932\) 19.8379 + 9.75363i 0.649811 + 0.319491i
\(933\) −21.3648 27.7063i −0.699451 0.907064i
\(934\) 3.34538 7.32535i 0.109464 0.239693i
\(935\) −10.3621 + 5.36133i −0.338876 + 0.175334i
\(936\) 2.04786 + 4.48420i 0.0669365 + 0.146571i
\(937\) 23.1133 43.8045i 0.755078 1.43103i −0.142325 0.989820i \(-0.545458\pi\)
0.897403 0.441212i \(-0.145451\pi\)
\(938\) −27.0721 4.68501i −0.883934 0.152971i
\(939\) −104.030 11.9364i −3.39490 0.389529i
\(940\) 2.89212 + 2.97592i 0.0943306 + 0.0970639i
\(941\) −35.7710 + 25.9892i −1.16610 + 0.847222i −0.990537 0.137246i \(-0.956175\pi\)
−0.175564 + 0.984468i \(0.556175\pi\)
\(942\) −53.5007 43.7473i −1.74315 1.42536i
\(943\) 4.72222 0.541824i 0.153776 0.0176442i
\(944\) 6.83297 + 0.390723i 0.222394 + 0.0127170i
\(945\) −93.6629 27.5019i −3.04686 0.894637i
\(946\) −14.3712 + 0.294808i −0.467248 + 0.00958503i
\(947\) 11.3271 3.32595i 0.368083 0.108079i −0.0924599 0.995716i \(-0.529473\pi\)
0.460543 + 0.887638i \(0.347655\pi\)
\(948\) 20.3028 4.72121i 0.659403 0.153338i
\(949\) −2.08478 1.91340i −0.0676749 0.0621115i
\(950\) 5.61562 9.31246i 0.182195 0.302136i
\(951\) 3.42434 + 1.93381i 0.111042 + 0.0627082i
\(952\) 14.3927 5.13529i 0.466469 0.166436i
\(953\) −8.15404 + 31.0212i −0.264135 + 1.00488i 0.694328 + 0.719659i \(0.255702\pi\)
−0.958463 + 0.285216i \(0.907935\pi\)
\(954\) 42.7194 34.9315i 1.38309 1.13095i
\(955\) 4.15253 4.27285i 0.134373 0.138266i
\(956\) 2.85772 19.8759i 0.0924252 0.642831i
\(957\) 8.71682 + 15.7299i 0.281775 + 0.508474i
\(958\) −1.01773 7.07847i −0.0328814 0.228695i
\(959\) −13.2182 9.60356i −0.426837 0.310115i
\(960\) 0.952646 + 3.62424i 0.0307465 + 0.116972i
\(961\) −1.12644 1.64736i −0.0363367 0.0531408i
\(962\) 2.52107 + 0.586250i 0.0812825 + 0.0189014i
\(963\) 29.0965 1.66380i 0.937623 0.0536152i
\(964\) −0.524169 + 0.0907110i −0.0168823 + 0.00292160i
\(965\) 2.84846 8.76664i 0.0916950 0.282208i
\(966\) 7.30937 + 85.1015i 0.235175 + 2.73810i
\(967\) 34.2710 1.10208 0.551040 0.834479i \(-0.314231\pi\)
0.551040 + 0.834479i \(0.314231\pi\)
\(968\) −9.34832 + 5.79732i −0.300466 + 0.186333i
\(969\) −30.8900 −0.992330
\(970\) 0.663472 + 7.72466i 0.0213028 + 0.248024i
\(971\) 4.87935 15.0171i 0.156586 0.481921i −0.841732 0.539895i \(-0.818464\pi\)
0.998318 + 0.0579738i \(0.0184640\pi\)
\(972\) 67.2185 11.6326i 2.15603 0.373116i
\(973\) 55.3253 3.16361i 1.77365 0.101421i
\(974\) −13.3325 3.10034i −0.427200 0.0993411i
\(975\) −4.21375 6.16241i −0.134948 0.197355i
\(976\) 0.539499 + 2.05247i 0.0172689 + 0.0656978i
\(977\) −45.6603 33.1742i −1.46080 1.06134i −0.983153 0.182786i \(-0.941489\pi\)
−0.477651 0.878550i \(-0.658511\pi\)
\(978\) −0.662516 4.60790i −0.0211849 0.147344i
\(979\) −39.0496 8.24024i −1.24803 0.263359i
\(980\) −2.56444 + 17.8361i −0.0819180 + 0.569752i
\(981\) −64.7555 + 66.6318i −2.06748 + 2.12739i
\(982\) −29.7531 + 24.3290i −0.949459 + 0.776369i
\(983\) −14.8133 + 56.3558i −0.472472 + 1.79747i 0.121042 + 0.992647i \(0.461377\pi\)
−0.593514 + 0.804824i \(0.702260\pi\)
\(984\) −2.88127 + 1.02803i −0.0918515 + 0.0327726i
\(985\) −8.80386 4.97177i −0.280514 0.158414i
\(986\) −2.62845 + 4.35880i −0.0837070 + 0.138812i
\(987\) −44.8503 41.1632i −1.42760 1.31024i
\(988\) −1.64870 + 0.383389i −0.0524522 + 0.0121972i
\(989\) 21.8191 6.40665i 0.693806 0.203720i
\(990\) 13.4229 + 27.8649i 0.426606 + 0.885606i
\(991\) 6.72595 + 1.97492i 0.213657 + 0.0627353i 0.386809 0.922160i \(-0.373577\pi\)
−0.173152 + 0.984895i \(0.555395\pi\)
\(992\) −5.73482 0.327929i −0.182081 0.0104117i
\(993\) 79.2244 9.09015i 2.51411 0.288467i
\(994\) 42.7556 + 34.9611i 1.35613 + 1.10890i
\(995\) −13.0504 + 9.48165i −0.413724 + 0.300588i
\(996\) −35.0541 36.0698i −1.11073 1.14292i
\(997\) 50.8576 + 5.83537i 1.61068 + 0.184808i 0.872089 0.489348i \(-0.162765\pi\)
0.738589 + 0.674156i \(0.235492\pi\)
\(998\) −20.4344 3.53632i −0.646840 0.111940i
\(999\) 37.5757 71.2139i 1.18884 2.25311i
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 242.2.g.b.15.1 240
121.113 even 55 inner 242.2.g.b.113.1 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.b.15.1 240 1.1 even 1 trivial
242.2.g.b.113.1 yes 240 121.113 even 55 inner