Properties

Label 300.2.n.a.131.47
Level $300$
Weight $2$
Character 300.131
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(11,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 131.47
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.47

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.16649 - 0.799563i) q^{2} +(1.51725 - 0.835438i) q^{3} +(0.721398 - 1.86536i) q^{4} +(0.0912679 + 2.23420i) q^{5} +(1.10187 - 2.18767i) q^{6} +1.22899i q^{7} +(-0.649972 - 2.75273i) q^{8} +(1.60409 - 2.53513i) q^{9} +O(q^{10})\) \(q+(1.16649 - 0.799563i) q^{2} +(1.51725 - 0.835438i) q^{3} +(0.721398 - 1.86536i) q^{4} +(0.0912679 + 2.23420i) q^{5} +(1.10187 - 2.18767i) q^{6} +1.22899i q^{7} +(-0.649972 - 2.75273i) q^{8} +(1.60409 - 2.53513i) q^{9} +(1.89285 + 2.53320i) q^{10} +(-1.19894 - 3.68995i) q^{11} +(-0.463856 - 3.43291i) q^{12} +(-1.75824 + 5.41130i) q^{13} +(0.982659 + 1.43361i) q^{14} +(2.00502 + 3.31359i) q^{15} +(-2.95917 - 2.69134i) q^{16} +(0.726020 - 0.999281i) q^{17} +(-0.155849 - 4.23978i) q^{18} +(-0.675846 + 0.930222i) q^{19} +(4.23345 + 1.44150i) q^{20} +(1.02675 + 1.86469i) q^{21} +(-4.34889 - 3.34566i) q^{22} +(1.01754 + 3.13167i) q^{23} +(-3.28591 - 3.63357i) q^{24} +(-4.98334 + 0.407823i) q^{25} +(2.27571 + 7.71805i) q^{26} +(0.315848 - 5.18654i) q^{27} +(2.29252 + 0.886595i) q^{28} +(-3.27247 - 4.50417i) q^{29} +(4.98826 + 2.26214i) q^{30} +(-6.00889 + 8.27053i) q^{31} +(-5.60374 - 0.773382i) q^{32} +(-4.90180 - 4.59693i) q^{33} +(0.0479073 - 1.74615i) q^{34} +(-2.74583 + 0.112168i) q^{35} +(-3.57177 - 4.82105i) q^{36} +(1.51707 - 4.66906i) q^{37} +(-0.0445965 + 1.62548i) q^{38} +(1.85312 + 9.67919i) q^{39} +(6.09085 - 1.70341i) q^{40} +(2.19123 + 0.711975i) q^{41} +(2.68863 + 1.35419i) q^{42} +8.85459i q^{43} +(-7.74800 - 0.425468i) q^{44} +(5.81041 + 3.35248i) q^{45} +(3.69092 + 2.83948i) q^{46} +(7.46449 - 5.42327i) q^{47} +(-6.73824 - 1.61123i) q^{48} +5.48957 q^{49} +(-5.48694 + 4.46021i) q^{50} +(0.266715 - 2.12270i) q^{51} +(8.82566 + 7.18346i) q^{52} +(-4.27163 - 5.87940i) q^{53} +(-3.77853 - 6.30259i) q^{54} +(8.13467 - 3.01544i) q^{55} +(3.38309 - 0.798812i) q^{56} +(-0.248283 + 1.97601i) q^{57} +(-7.41868 - 2.63752i) q^{58} +(-2.19729 + 6.76255i) q^{59} +(7.62748 - 1.34966i) q^{60} +(1.50308 + 4.62601i) q^{61} +(-0.396504 + 14.4520i) q^{62} +(3.11567 + 1.97141i) q^{63} +(-7.15507 + 3.57840i) q^{64} +(-12.2504 - 3.43439i) q^{65} +(-9.39344 - 1.44297i) q^{66} +(7.52646 - 10.3593i) q^{67} +(-1.34027 - 2.07517i) q^{68} +(4.16019 + 3.90143i) q^{69} +(-3.11329 + 2.32630i) q^{70} +(1.92669 - 1.39982i) q^{71} +(-8.02116 - 2.76785i) q^{72} +(0.789142 + 2.42873i) q^{73} +(-1.96356 - 6.65941i) q^{74} +(-7.22025 + 4.78204i) q^{75} +(1.24765 + 1.93176i) q^{76} +(4.53492 - 1.47349i) q^{77} +(9.90077 + 9.80899i) q^{78} +(-2.96668 - 4.08328i) q^{79} +(5.74293 - 6.85702i) q^{80} +(-3.85382 - 8.13315i) q^{81} +(3.12532 - 0.921517i) q^{82} +(5.96084 + 4.33081i) q^{83} +(4.21902 - 0.570077i) q^{84} +(2.29886 + 1.53088i) q^{85} +(7.07980 + 10.3288i) q^{86} +(-8.72811 - 4.10000i) q^{87} +(-9.37816 + 5.69871i) q^{88} +(-11.9886 + 3.89532i) q^{89} +(9.45831 - 0.735155i) q^{90} +(-6.65046 - 2.16087i) q^{91} +(6.57577 + 0.361097i) q^{92} +(-2.20746 + 17.5685i) q^{93} +(4.37101 - 12.2945i) q^{94} +(-2.13999 - 1.42508i) q^{95} +(-9.14838 + 3.50816i) q^{96} +(5.45379 - 3.96241i) q^{97} +(6.40353 - 4.38926i) q^{98} +(-11.2777 - 2.87952i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.16649 0.799563i 0.824833 0.565376i
\(3\) 1.51725 0.835438i 0.875984 0.482340i
\(4\) 0.721398 1.86536i 0.360699 0.932682i
\(5\) 0.0912679 + 2.23420i 0.0408163 + 0.999167i
\(6\) 1.10187 2.18767i 0.449837 0.893111i
\(7\) 1.22899i 0.464516i 0.972654 + 0.232258i \(0.0746114\pi\)
−0.972654 + 0.232258i \(0.925389\pi\)
\(8\) −0.649972 2.75273i −0.229800 0.973238i
\(9\) 1.60409 2.53513i 0.534695 0.845045i
\(10\) 1.89285 + 2.53320i 0.598572 + 0.801069i
\(11\) −1.19894 3.68995i −0.361493 1.11256i −0.952148 0.305636i \(-0.901131\pi\)
0.590656 0.806924i \(-0.298869\pi\)
\(12\) −0.463856 3.43291i −0.133904 0.990994i
\(13\) −1.75824 + 5.41130i −0.487647 + 1.50082i 0.340462 + 0.940258i \(0.389417\pi\)
−0.828110 + 0.560566i \(0.810583\pi\)
\(14\) 0.982659 + 1.43361i 0.262627 + 0.383148i
\(15\) 2.00502 + 3.31359i 0.517693 + 0.855566i
\(16\) −2.95917 2.69134i −0.739792 0.672835i
\(17\) 0.726020 0.999281i 0.176086 0.242361i −0.711847 0.702335i \(-0.752141\pi\)
0.887933 + 0.459973i \(0.152141\pi\)
\(18\) −0.155849 4.23978i −0.0367341 0.999325i
\(19\) −0.675846 + 0.930222i −0.155050 + 0.213408i −0.879474 0.475947i \(-0.842106\pi\)
0.724425 + 0.689354i \(0.242106\pi\)
\(20\) 4.23345 + 1.44150i 0.946627 + 0.322330i
\(21\) 1.02675 + 1.86469i 0.224055 + 0.406909i
\(22\) −4.34889 3.34566i −0.927186 0.713297i
\(23\) 1.01754 + 3.13167i 0.212172 + 0.652999i 0.999342 + 0.0362631i \(0.0115454\pi\)
−0.787170 + 0.616736i \(0.788455\pi\)
\(24\) −3.28591 3.63357i −0.670733 0.741699i
\(25\) −4.98334 + 0.407823i −0.996668 + 0.0815645i
\(26\) 2.27571 + 7.71805i 0.446303 + 1.51363i
\(27\) 0.315848 5.18654i 0.0607850 0.998151i
\(28\) 2.29252 + 0.886595i 0.433246 + 0.167551i
\(29\) −3.27247 4.50417i −0.607683 0.836404i 0.388701 0.921364i \(-0.372924\pi\)
−0.996384 + 0.0849600i \(0.972924\pi\)
\(30\) 4.98826 + 2.26214i 0.910727 + 0.413008i
\(31\) −6.00889 + 8.27053i −1.07923 + 1.48543i −0.218862 + 0.975756i \(0.570234\pi\)
−0.860367 + 0.509675i \(0.829766\pi\)
\(32\) −5.60374 0.773382i −0.990610 0.136716i
\(33\) −4.90180 4.59693i −0.853295 0.800222i
\(34\) 0.0479073 1.74615i 0.00821604 0.299462i
\(35\) −2.74583 + 0.112168i −0.464129 + 0.0189598i
\(36\) −3.57177 4.82105i −0.595294 0.803508i
\(37\) 1.51707 4.66906i 0.249405 0.767589i −0.745476 0.666533i \(-0.767778\pi\)
0.994881 0.101056i \(-0.0322222\pi\)
\(38\) −0.0445965 + 1.62548i −0.00723451 + 0.263687i
\(39\) 1.85312 + 9.67919i 0.296737 + 1.54991i
\(40\) 6.09085 1.70341i 0.963047 0.269332i
\(41\) 2.19123 + 0.711975i 0.342213 + 0.111192i 0.475081 0.879942i \(-0.342419\pi\)
−0.132868 + 0.991134i \(0.542419\pi\)
\(42\) 2.68863 + 1.35419i 0.414865 + 0.208956i
\(43\) 8.85459i 1.35031i 0.737675 + 0.675156i \(0.235924\pi\)
−0.737675 + 0.675156i \(0.764076\pi\)
\(44\) −7.74800 0.425468i −1.16806 0.0641417i
\(45\) 5.81041 + 3.35248i 0.866165 + 0.499758i
\(46\) 3.69092 + 2.83948i 0.544197 + 0.418658i
\(47\) 7.46449 5.42327i 1.08881 0.791065i 0.109610 0.993975i \(-0.465040\pi\)
0.979197 + 0.202910i \(0.0650398\pi\)
\(48\) −6.73824 1.61123i −0.972582 0.232561i
\(49\) 5.48957 0.784225
\(50\) −5.48694 + 4.46021i −0.775970 + 0.630770i
\(51\) 0.266715 2.12270i 0.0373476 0.297238i
\(52\) 8.82566 + 7.18346i 1.22390 + 0.996166i
\(53\) −4.27163 5.87940i −0.586754 0.807597i 0.407662 0.913133i \(-0.366344\pi\)
−0.994416 + 0.105536i \(0.966344\pi\)
\(54\) −3.77853 6.30259i −0.514193 0.857674i
\(55\) 8.13467 3.01544i 1.09688 0.406602i
\(56\) 3.38309 0.798812i 0.452085 0.106746i
\(57\) −0.248283 + 1.97601i −0.0328859 + 0.261728i
\(58\) −7.41868 2.63752i −0.974120 0.346324i
\(59\) −2.19729 + 6.76255i −0.286062 + 0.880409i 0.700016 + 0.714127i \(0.253176\pi\)
−0.986078 + 0.166282i \(0.946824\pi\)
\(60\) 7.62748 1.34966i 0.984703 0.174241i
\(61\) 1.50308 + 4.62601i 0.192450 + 0.592300i 0.999997 + 0.00249669i \(0.000794723\pi\)
−0.807547 + 0.589803i \(0.799205\pi\)
\(62\) −0.396504 + 14.4520i −0.0503561 + 1.83540i
\(63\) 3.11567 + 1.97141i 0.392537 + 0.248375i
\(64\) −7.15507 + 3.57840i −0.894384 + 0.447300i
\(65\) −12.2504 3.43439i −1.51948 0.425983i
\(66\) −9.39344 1.44297i −1.15625 0.177617i
\(67\) 7.52646 10.3593i 0.919503 1.26559i −0.0443124 0.999018i \(-0.514110\pi\)
0.963816 0.266570i \(-0.0858903\pi\)
\(68\) −1.34027 2.07517i −0.162532 0.251652i
\(69\) 4.16019 + 3.90143i 0.500827 + 0.469677i
\(70\) −3.11329 + 2.32630i −0.372110 + 0.278046i
\(71\) 1.92669 1.39982i 0.228655 0.166128i −0.467559 0.883962i \(-0.654866\pi\)
0.696214 + 0.717834i \(0.254866\pi\)
\(72\) −8.02116 2.76785i −0.945303 0.326195i
\(73\) 0.789142 + 2.42873i 0.0923621 + 0.284261i 0.986557 0.163416i \(-0.0522513\pi\)
−0.894195 + 0.447677i \(0.852251\pi\)
\(74\) −1.96356 6.65941i −0.228259 0.774140i
\(75\) −7.22025 + 4.78204i −0.833723 + 0.552183i
\(76\) 1.24765 + 1.93176i 0.143115 + 0.221588i
\(77\) 4.53492 1.47349i 0.516802 0.167919i
\(78\) 9.90077 + 9.80899i 1.12104 + 1.11065i
\(79\) −2.96668 4.08328i −0.333777 0.459405i 0.608834 0.793298i \(-0.291638\pi\)
−0.942611 + 0.333893i \(0.891638\pi\)
\(80\) 5.74293 6.85702i 0.642079 0.766638i
\(81\) −3.85382 8.13315i −0.428202 0.903683i
\(82\) 3.12532 0.921517i 0.345134 0.101765i
\(83\) 5.96084 + 4.33081i 0.654287 + 0.475368i 0.864729 0.502239i \(-0.167490\pi\)
−0.210441 + 0.977606i \(0.567490\pi\)
\(84\) 4.21902 0.570077i 0.460333 0.0622005i
\(85\) 2.29886 + 1.53088i 0.249347 + 0.166047i
\(86\) 7.07980 + 10.3288i 0.763434 + 1.11378i
\(87\) −8.72811 4.10000i −0.935752 0.439566i
\(88\) −9.37816 + 5.69871i −0.999715 + 0.607485i
\(89\) −11.9886 + 3.89532i −1.27079 + 0.412903i −0.865326 0.501210i \(-0.832889\pi\)
−0.405460 + 0.914113i \(0.632889\pi\)
\(90\) 9.45831 0.735155i 0.996993 0.0774922i
\(91\) −6.65046 2.16087i −0.697158 0.226520i
\(92\) 6.57577 + 0.361097i 0.685571 + 0.0376469i
\(93\) −2.20746 + 17.5685i −0.228903 + 1.82177i
\(94\) 4.37101 12.2945i 0.450835 1.26808i
\(95\) −2.13999 1.42508i −0.219558 0.146210i
\(96\) −9.14838 + 3.50816i −0.933702 + 0.358051i
\(97\) 5.45379 3.96241i 0.553749 0.402322i −0.275417 0.961325i \(-0.588816\pi\)
0.829166 + 0.559003i \(0.188816\pi\)
\(98\) 6.40353 4.38926i 0.646854 0.443382i
\(99\) −11.2777 2.87952i −1.13345 0.289403i
\(100\) −2.83424 + 9.58995i −0.283424 + 0.958995i
\(101\) 3.79230i 0.377348i −0.982040 0.188674i \(-0.939581\pi\)
0.982040 0.188674i \(-0.0604190\pi\)
\(102\) −1.38611 2.68937i −0.137246 0.266287i
\(103\) −5.49558 7.56401i −0.541495 0.745304i 0.447332 0.894368i \(-0.352374\pi\)
−0.988828 + 0.149063i \(0.952374\pi\)
\(104\) 16.0387 + 1.32276i 1.57272 + 0.129708i
\(105\) −4.07239 + 2.46415i −0.397425 + 0.240477i
\(106\) −9.68377 3.44282i −0.940570 0.334396i
\(107\) −1.99209 −0.192583 −0.0962915 0.995353i \(-0.530698\pi\)
−0.0962915 + 0.995353i \(0.530698\pi\)
\(108\) −9.44694 4.33074i −0.909032 0.416725i
\(109\) 1.17339 3.61134i 0.112391 0.345903i −0.879003 0.476816i \(-0.841791\pi\)
0.991394 + 0.130913i \(0.0417908\pi\)
\(110\) 7.07797 10.0217i 0.674858 0.955528i
\(111\) −1.59894 8.35154i −0.151765 0.792693i
\(112\) 3.30764 3.63680i 0.312543 0.343646i
\(113\) 11.9770 + 3.89156i 1.12670 + 0.366087i 0.812321 0.583211i \(-0.198204\pi\)
0.314378 + 0.949298i \(0.398204\pi\)
\(114\) 1.29032 + 2.50351i 0.120850 + 0.234475i
\(115\) −6.90393 + 2.55922i −0.643795 + 0.238648i
\(116\) −10.7627 + 2.85505i −0.999290 + 0.265085i
\(117\) 10.8980 + 13.1376i 1.00752 + 1.21457i
\(118\) 2.84397 + 9.64532i 0.261809 + 0.887923i
\(119\) 1.22811 + 0.892275i 0.112581 + 0.0817947i
\(120\) 7.81824 7.67302i 0.713704 0.700447i
\(121\) −3.27906 + 2.38238i −0.298096 + 0.216580i
\(122\) 5.45212 + 4.19439i 0.493611 + 0.379742i
\(123\) 3.91946 0.750397i 0.353406 0.0676611i
\(124\) 11.0927 + 17.1751i 0.996158 + 1.54237i
\(125\) −1.36598 11.0966i −0.122177 0.992508i
\(126\) 5.21066 0.191538i 0.464203 0.0170636i
\(127\) 2.90427 0.943656i 0.257713 0.0837359i −0.177311 0.984155i \(-0.556740\pi\)
0.435024 + 0.900419i \(0.356740\pi\)
\(128\) −5.48517 + 9.89510i −0.484825 + 0.874611i
\(129\) 7.39746 + 13.4346i 0.651310 + 1.18285i
\(130\) −17.0360 + 5.78881i −1.49416 + 0.507712i
\(131\) −14.0632 10.2175i −1.22871 0.892707i −0.231913 0.972737i \(-0.574498\pi\)
−0.996792 + 0.0800299i \(0.974498\pi\)
\(132\) −12.1111 + 5.82744i −1.05414 + 0.507213i
\(133\) −1.14324 0.830611i −0.0991313 0.0720231i
\(134\) 0.496642 18.1019i 0.0429034 1.56376i
\(135\) 11.6166 + 0.232304i 0.999800 + 0.0199936i
\(136\) −3.22265 1.34904i −0.276340 0.115679i
\(137\) 0.0666100 + 0.0216429i 0.00569088 + 0.00184908i 0.311861 0.950128i \(-0.399048\pi\)
−0.306170 + 0.951977i \(0.599048\pi\)
\(138\) 7.97226 + 1.22465i 0.678644 + 0.104249i
\(139\) 9.42407 3.06207i 0.799340 0.259721i 0.119263 0.992863i \(-0.461947\pi\)
0.680076 + 0.733141i \(0.261947\pi\)
\(140\) −1.77160 + 5.20288i −0.149728 + 0.439724i
\(141\) 6.79468 14.4646i 0.572215 1.21814i
\(142\) 1.12822 3.17338i 0.0946778 0.266304i
\(143\) 22.0754 1.84604
\(144\) −11.5697 + 3.18475i −0.964140 + 0.265396i
\(145\) 9.76457 7.72246i 0.810903 0.641315i
\(146\) 2.86245 + 2.20212i 0.236898 + 0.182249i
\(147\) 8.32904 4.58620i 0.686968 0.378263i
\(148\) −7.61509 6.19814i −0.625956 0.509484i
\(149\) 13.5650i 1.11129i −0.831419 0.555645i \(-0.812471\pi\)
0.831419 0.555645i \(-0.187529\pi\)
\(150\) −4.59881 + 11.3513i −0.375492 + 0.926826i
\(151\) 5.76043i 0.468777i −0.972143 0.234389i \(-0.924691\pi\)
0.972143 0.234389i \(-0.0753088\pi\)
\(152\) 2.99993 + 1.25580i 0.243327 + 0.101859i
\(153\) −1.36871 3.44349i −0.110654 0.278390i
\(154\) 4.11180 5.34476i 0.331338 0.430693i
\(155\) −19.0265 12.6703i −1.52824 1.01770i
\(156\) 19.3920 + 3.52580i 1.55261 + 0.282290i
\(157\) −17.9696 −1.43413 −0.717063 0.697008i \(-0.754514\pi\)
−0.717063 + 0.697008i \(0.754514\pi\)
\(158\) −6.72544 2.39106i −0.535047 0.190223i
\(159\) −11.3930 5.35182i −0.903524 0.424427i
\(160\) 1.21645 12.5905i 0.0961690 0.995365i
\(161\) −3.84881 + 1.25055i −0.303329 + 0.0985575i
\(162\) −10.9984 6.40587i −0.864116 0.503292i
\(163\) −8.03734 2.61149i −0.629533 0.204548i −0.0231647 0.999732i \(-0.507374\pi\)
−0.606368 + 0.795184i \(0.707374\pi\)
\(164\) 2.90884 3.57383i 0.227143 0.279069i
\(165\) 9.82310 11.3712i 0.764727 0.885246i
\(166\) 10.4160 + 0.285773i 0.808440 + 0.0221803i
\(167\) 9.75638 + 7.08842i 0.754971 + 0.548519i 0.897364 0.441292i \(-0.145480\pi\)
−0.142393 + 0.989810i \(0.545480\pi\)
\(168\) 4.46564 4.03836i 0.344531 0.311566i
\(169\) −15.6735 11.3875i −1.20566 0.875961i
\(170\) 3.90563 0.0523328i 0.299548 0.00401374i
\(171\) 1.27412 + 3.20552i 0.0974347 + 0.245132i
\(172\) 16.5170 + 6.38768i 1.25941 + 0.487056i
\(173\) −13.8709 + 4.50692i −1.05458 + 0.342655i −0.784466 0.620172i \(-0.787063\pi\)
−0.270118 + 0.962827i \(0.587063\pi\)
\(174\) −13.4595 + 2.19607i −1.02036 + 0.166483i
\(175\) −0.501212 6.12450i −0.0378880 0.462969i
\(176\) −6.38305 + 14.1459i −0.481140 + 1.06629i
\(177\) 2.31586 + 12.0962i 0.174071 + 0.909204i
\(178\) −10.8700 + 14.1295i −0.814740 + 1.05905i
\(179\) 8.20322 5.95999i 0.613137 0.445470i −0.237380 0.971417i \(-0.576289\pi\)
0.850518 + 0.525946i \(0.176289\pi\)
\(180\) 10.4452 8.42006i 0.778541 0.627594i
\(181\) 2.56362 + 1.86258i 0.190553 + 0.138445i 0.678971 0.734165i \(-0.262426\pi\)
−0.488419 + 0.872609i \(0.662426\pi\)
\(182\) −9.48544 + 2.79683i −0.703108 + 0.207315i
\(183\) 6.14530 + 5.76308i 0.454273 + 0.426019i
\(184\) 7.95929 4.83652i 0.586766 0.356553i
\(185\) 10.5701 + 2.96331i 0.777129 + 0.217867i
\(186\) 11.4721 + 22.2585i 0.841178 + 1.63207i
\(187\) −4.55775 1.48090i −0.333295 0.108294i
\(188\) −4.73150 17.8363i −0.345080 1.30085i
\(189\) 6.37424 + 0.388176i 0.463657 + 0.0282356i
\(190\) −3.63572 + 0.0487162i −0.263763 + 0.00353424i
\(191\) −1.49733 + 4.60830i −0.108343 + 0.333445i −0.990500 0.137509i \(-0.956090\pi\)
0.882158 + 0.470954i \(0.156090\pi\)
\(192\) −7.86649 + 11.4069i −0.567715 + 0.823225i
\(193\) 19.3342 1.39171 0.695854 0.718183i \(-0.255026\pi\)
0.695854 + 0.718183i \(0.255026\pi\)
\(194\) 3.19360 8.98276i 0.229287 0.644925i
\(195\) −21.4562 + 5.02366i −1.53651 + 0.359751i
\(196\) 3.96017 10.2401i 0.282869 0.731432i
\(197\) 11.0615 + 15.2249i 0.788102 + 1.08473i 0.994342 + 0.106228i \(0.0338775\pi\)
−0.206239 + 0.978502i \(0.566123\pi\)
\(198\) −15.4577 + 5.65830i −1.09853 + 0.402118i
\(199\) 2.99905i 0.212597i −0.994334 0.106299i \(-0.966100\pi\)
0.994334 0.106299i \(-0.0338999\pi\)
\(200\) 4.36166 + 13.4527i 0.308416 + 0.951252i
\(201\) 2.76497 22.0055i 0.195026 1.55215i
\(202\) −3.03218 4.42368i −0.213344 0.311249i
\(203\) 5.53560 4.02185i 0.388523 0.282279i
\(204\) −3.76721 2.02884i −0.263757 0.142047i
\(205\) −1.39071 + 4.96064i −0.0971313 + 0.346466i
\(206\) −12.4584 4.42929i −0.868021 0.308603i
\(207\) 9.57144 + 2.44387i 0.665261 + 0.169860i
\(208\) 19.7666 11.2809i 1.37057 0.782192i
\(209\) 4.24276 + 1.37856i 0.293478 + 0.0953568i
\(210\) −2.78016 + 6.13054i −0.191849 + 0.423048i
\(211\) 3.11980 1.01368i 0.214776 0.0697849i −0.199653 0.979867i \(-0.563981\pi\)
0.414429 + 0.910082i \(0.363981\pi\)
\(212\) −14.0488 + 3.72676i −0.964873 + 0.255955i
\(213\) 1.75380 3.73350i 0.120168 0.255815i
\(214\) −2.32376 + 1.59280i −0.158849 + 0.108882i
\(215\) −19.7830 + 0.808140i −1.34919 + 0.0551147i
\(216\) −14.4825 + 2.50166i −0.985407 + 0.170217i
\(217\) −10.1644 7.38490i −0.690007 0.501319i
\(218\) −1.51874 5.15079i −0.102862 0.348855i
\(219\) 3.22638 + 3.02571i 0.218018 + 0.204458i
\(220\) 0.243439 17.3495i 0.0164126 1.16970i
\(221\) 4.13089 + 5.68569i 0.277874 + 0.382461i
\(222\) −8.54273 8.46354i −0.573351 0.568036i
\(223\) 27.9800 9.09126i 1.87368 0.608796i 0.883610 0.468224i \(-0.155106\pi\)
0.990071 0.140571i \(-0.0448940\pi\)
\(224\) 0.950482 6.88696i 0.0635068 0.460155i
\(225\) −6.95982 + 13.2876i −0.463988 + 0.885841i
\(226\) 17.0826 5.03688i 1.13632 0.335049i
\(227\) −4.32650 13.3156i −0.287160 0.883788i −0.985743 0.168258i \(-0.946186\pi\)
0.698583 0.715529i \(-0.253814\pi\)
\(228\) 3.50686 + 1.88863i 0.232247 + 0.125077i
\(229\) −17.8709 + 12.9840i −1.18095 + 0.858007i −0.992278 0.124034i \(-0.960417\pi\)
−0.188667 + 0.982041i \(0.560417\pi\)
\(230\) −6.00711 + 8.50543i −0.396097 + 0.560832i
\(231\) 5.64960 6.02429i 0.371716 0.396369i
\(232\) −10.2718 + 11.9358i −0.674374 + 0.783625i
\(233\) 4.51930 6.22028i 0.296069 0.407504i −0.634905 0.772591i \(-0.718961\pi\)
0.930974 + 0.365087i \(0.118961\pi\)
\(234\) 23.2167 + 6.61119i 1.51772 + 0.432187i
\(235\) 12.7980 + 16.1822i 0.834847 + 1.05561i
\(236\) 11.0295 + 8.97723i 0.717959 + 0.584368i
\(237\) −7.91251 3.71688i −0.513973 0.241437i
\(238\) 2.14601 + 0.0588779i 0.139105 + 0.00381649i
\(239\) 9.12739 + 28.0912i 0.590402 + 1.81707i 0.576399 + 0.817169i \(0.304457\pi\)
0.0140032 + 0.999902i \(0.495543\pi\)
\(240\) 2.98483 15.2017i 0.192670 0.981264i
\(241\) −2.13388 + 6.56741i −0.137455 + 0.423044i −0.995964 0.0897551i \(-0.971392\pi\)
0.858508 + 0.512799i \(0.171392\pi\)
\(242\) −1.92013 + 5.40083i −0.123431 + 0.347179i
\(243\) −12.6419 9.12038i −0.810981 0.585073i
\(244\) 9.71352 + 0.533401i 0.621844 + 0.0341475i
\(245\) 0.501022 + 12.2648i 0.0320091 + 0.783571i
\(246\) 3.97202 4.00918i 0.253247 0.255616i
\(247\) −3.84541 5.29276i −0.244678 0.336770i
\(248\) 26.6722 + 11.1653i 1.69368 + 0.708995i
\(249\) 12.6622 + 1.59099i 0.802434 + 0.100825i
\(250\) −10.4658 11.8519i −0.661916 0.749578i
\(251\) −14.4985 −0.915135 −0.457568 0.889175i \(-0.651279\pi\)
−0.457568 + 0.889175i \(0.651279\pi\)
\(252\) 5.92504 4.38968i 0.373243 0.276524i
\(253\) 10.3357 7.50935i 0.649802 0.472109i
\(254\) 2.63329 3.42291i 0.165228 0.214773i
\(255\) 4.76690 + 0.402162i 0.298515 + 0.0251844i
\(256\) 1.51336 + 15.9283i 0.0945850 + 0.995517i
\(257\) 12.1666i 0.758930i −0.925206 0.379465i \(-0.876108\pi\)
0.925206 0.379465i \(-0.123892\pi\)
\(258\) 19.3709 + 9.75660i 1.20598 + 0.607419i
\(259\) 5.73825 + 1.86447i 0.356558 + 0.115853i
\(260\) −15.2438 + 20.3739i −0.945381 + 1.26354i
\(261\) −16.6680 + 1.07108i −1.03172 + 0.0662982i
\(262\) −24.5741 0.674214i −1.51819 0.0416531i
\(263\) −1.08321 + 3.33377i −0.0667935 + 0.205569i −0.978883 0.204422i \(-0.934468\pi\)
0.912089 + 0.409992i \(0.134468\pi\)
\(264\) −9.46807 + 16.4812i −0.582720 + 1.01435i
\(265\) 12.7459 10.0803i 0.782975 0.619228i
\(266\) −1.99770 0.0548089i −0.122487 0.00336055i
\(267\) −14.9353 + 15.9259i −0.914028 + 0.974648i
\(268\) −13.8943 21.5128i −0.848727 1.31410i
\(269\) 0.0420528 0.0578808i 0.00256401 0.00352905i −0.807733 0.589548i \(-0.799306\pi\)
0.810297 + 0.586019i \(0.199306\pi\)
\(270\) 13.7364 9.01724i 0.835972 0.548772i
\(271\) 8.54047 + 11.7550i 0.518797 + 0.714063i 0.985372 0.170419i \(-0.0545122\pi\)
−0.466575 + 0.884482i \(0.654512\pi\)
\(272\) −4.83782 + 1.00307i −0.293336 + 0.0608203i
\(273\) −11.8957 + 2.27748i −0.719959 + 0.137839i
\(274\) 0.0950048 0.0280127i 0.00573945 0.00169231i
\(275\) 7.47955 + 17.8993i 0.451034 + 1.07937i
\(276\) 10.2787 4.94577i 0.618708 0.297701i
\(277\) −0.715655 2.20256i −0.0429995 0.132339i 0.927252 0.374438i \(-0.122164\pi\)
−0.970252 + 0.242099i \(0.922164\pi\)
\(278\) 8.54477 11.1070i 0.512482 0.666154i
\(279\) 11.3281 + 28.5000i 0.678197 + 1.70625i
\(280\) 2.09348 + 7.48562i 0.125109 + 0.447351i
\(281\) −14.9440 + 20.5686i −0.891482 + 1.22702i 0.0816243 + 0.996663i \(0.473989\pi\)
−0.973106 + 0.230357i \(0.926011\pi\)
\(282\) −3.63940 22.3055i −0.216723 1.32828i
\(283\) −15.8760 + 21.8514i −0.943728 + 1.29893i 0.0105291 + 0.999945i \(0.496648\pi\)
−0.954257 + 0.298986i \(0.903352\pi\)
\(284\) −1.22126 4.60380i −0.0724687 0.273185i
\(285\) −4.43746 0.374369i −0.262853 0.0221757i
\(286\) 25.7508 17.6507i 1.52267 1.04371i
\(287\) −0.875013 + 2.69301i −0.0516504 + 0.158964i
\(288\) −10.9495 + 12.9657i −0.645206 + 0.764009i
\(289\) 4.78183 + 14.7170i 0.281284 + 0.865704i
\(290\) 5.21568 16.8156i 0.306275 0.987444i
\(291\) 4.96441 10.5683i 0.291019 0.619523i
\(292\) 5.09975 + 0.280044i 0.298440 + 0.0163883i
\(293\) 20.9443i 1.22358i −0.791020 0.611790i \(-0.790450\pi\)
0.791020 0.611790i \(-0.209550\pi\)
\(294\) 6.04879 12.0093i 0.352773 0.700399i
\(295\) −15.3095 4.29198i −0.891351 0.249889i
\(296\) −13.8387 1.14133i −0.804360 0.0663383i
\(297\) −19.5167 + 5.05287i −1.13248 + 0.293197i
\(298\) −10.8461 15.8235i −0.628297 0.916629i
\(299\) −18.7355 −1.08350
\(300\) 3.71157 + 16.9182i 0.214288 + 0.976771i
\(301\) −10.8822 −0.627242
\(302\) −4.60583 6.71948i −0.265036 0.386663i
\(303\) −3.16823 5.75387i −0.182010 0.330551i
\(304\) 4.50349 0.933752i 0.258293 0.0535544i
\(305\) −10.1983 + 3.78040i −0.583951 + 0.216465i
\(306\) −4.34988 2.92243i −0.248666 0.167064i
\(307\) 23.7948i 1.35804i 0.734119 + 0.679021i \(0.237595\pi\)
−0.734119 + 0.679021i \(0.762405\pi\)
\(308\) 0.522898 9.52226i 0.0297949 0.542581i
\(309\) −14.6574 6.88527i −0.833832 0.391689i
\(310\) −32.3249 + 0.433131i −1.83593 + 0.0246002i
\(311\) −1.28866 3.96610i −0.0730735 0.224897i 0.907849 0.419298i \(-0.137724\pi\)
−0.980922 + 0.194401i \(0.937724\pi\)
\(312\) 25.4397 11.3924i 1.44024 0.644965i
\(313\) 3.10751 9.56394i 0.175647 0.540586i −0.824015 0.566567i \(-0.808271\pi\)
0.999662 + 0.0259814i \(0.00827108\pi\)
\(314\) −20.9613 + 14.3678i −1.18292 + 0.810821i
\(315\) −4.12018 + 7.14097i −0.232146 + 0.402348i
\(316\) −9.75696 + 2.58826i −0.548872 + 0.145601i
\(317\) −11.3539 + 15.6272i −0.637696 + 0.877713i −0.998490 0.0549323i \(-0.982506\pi\)
0.360794 + 0.932645i \(0.382506\pi\)
\(318\) −17.5689 + 2.86657i −0.985217 + 0.160749i
\(319\) −12.6967 + 17.4755i −0.710877 + 0.978438i
\(320\) −8.64790 15.6593i −0.483433 0.875382i
\(321\) −3.02250 + 1.66427i −0.168700 + 0.0928906i
\(322\) −3.48970 + 4.53613i −0.194474 + 0.252788i
\(323\) 0.438876 + 1.35072i 0.0244197 + 0.0751561i
\(324\) −17.9514 + 1.32153i −0.997301 + 0.0734185i
\(325\) 6.55505 27.6834i 0.363609 1.53560i
\(326\) −11.4635 + 3.38008i −0.634906 + 0.187205i
\(327\) −1.23672 6.45959i −0.0683906 0.357216i
\(328\) 0.535636 6.49464i 0.0295755 0.358607i
\(329\) 6.66517 + 9.17382i 0.367463 + 0.505769i
\(330\) 2.36657 21.1186i 0.130275 1.16254i
\(331\) 10.4621 14.3998i 0.575049 0.791487i −0.418093 0.908404i \(-0.637301\pi\)
0.993142 + 0.116918i \(0.0373013\pi\)
\(332\) 12.3787 7.99491i 0.679368 0.438778i
\(333\) −9.40319 11.3356i −0.515292 0.621184i
\(334\) 17.0484 + 0.467738i 0.932845 + 0.0255935i
\(335\) 23.8317 + 15.8702i 1.30206 + 0.867080i
\(336\) 1.98019 8.28127i 0.108028 0.451780i
\(337\) 0.423817 1.30438i 0.0230868 0.0710539i −0.938849 0.344328i \(-0.888107\pi\)
0.961936 + 0.273274i \(0.0881067\pi\)
\(338\) −27.3881 0.751418i −1.48971 0.0408717i
\(339\) 21.4232 4.10157i 1.16355 0.222767i
\(340\) 4.51404 3.18384i 0.244808 0.172668i
\(341\) 37.7221 + 12.2566i 2.04277 + 0.663735i
\(342\) 4.04927 + 2.72046i 0.218959 + 0.147106i
\(343\) 15.3496i 0.828802i
\(344\) 24.3743 5.75523i 1.31417 0.310301i
\(345\) −8.33691 + 9.65078i −0.448844 + 0.519581i
\(346\) −12.5767 + 16.3479i −0.676126 + 0.878870i
\(347\) −1.93818 + 1.40817i −0.104047 + 0.0755947i −0.638592 0.769545i \(-0.720483\pi\)
0.534545 + 0.845140i \(0.320483\pi\)
\(348\) −13.9444 + 13.3234i −0.747500 + 0.714208i
\(349\) −36.4006 −1.94848 −0.974240 0.225515i \(-0.927593\pi\)
−0.974240 + 0.225515i \(0.927593\pi\)
\(350\) −5.48158 6.74342i −0.293003 0.360451i
\(351\) 27.5106 + 10.8283i 1.46841 + 0.577973i
\(352\) 3.86479 + 21.6047i 0.205994 + 1.15154i
\(353\) 9.09263 + 12.5149i 0.483952 + 0.666103i 0.979258 0.202616i \(-0.0649442\pi\)
−0.495306 + 0.868718i \(0.664944\pi\)
\(354\) 12.3731 + 12.2584i 0.657622 + 0.651525i
\(355\) 3.30333 + 4.17685i 0.175322 + 0.221684i
\(356\) −1.38234 + 25.1731i −0.0732638 + 1.33417i
\(357\) 2.60879 + 0.327792i 0.138072 + 0.0173486i
\(358\) 4.80359 13.5113i 0.253878 0.714092i
\(359\) 7.56131 23.2713i 0.399070 1.22821i −0.526675 0.850066i \(-0.676562\pi\)
0.925746 0.378146i \(-0.123438\pi\)
\(360\) 5.45187 18.1735i 0.287339 0.957829i
\(361\) 5.46278 + 16.8127i 0.287515 + 0.884879i
\(362\) 4.47969 + 0.122905i 0.235447 + 0.00645973i
\(363\) −2.98482 + 6.35411i −0.156662 + 0.333504i
\(364\) −8.82843 + 10.8467i −0.462736 + 0.568521i
\(365\) −5.35426 + 1.98477i −0.280255 + 0.103888i
\(366\) 11.7764 + 1.80902i 0.615561 + 0.0945590i
\(367\) −3.03964 + 4.18371i −0.158668 + 0.218388i −0.880948 0.473213i \(-0.843094\pi\)
0.722280 + 0.691601i \(0.243094\pi\)
\(368\) 5.41732 12.0057i 0.282398 0.625841i
\(369\) 5.31988 4.41300i 0.276942 0.229732i
\(370\) 14.6993 4.99479i 0.764178 0.259667i
\(371\) 7.22575 5.24981i 0.375142 0.272557i
\(372\) 31.1792 + 16.7916i 1.61657 + 0.870605i
\(373\) 7.14857 + 22.0010i 0.370139 + 1.13917i 0.946700 + 0.322116i \(0.104394\pi\)
−0.576561 + 0.817054i \(0.695606\pi\)
\(374\) −6.50064 + 1.91675i −0.336140 + 0.0991127i
\(375\) −11.3430 15.6951i −0.585752 0.810490i
\(376\) −19.7805 17.0228i −1.02010 0.877882i
\(377\) 30.1272 9.78892i 1.55163 0.504155i
\(378\) 7.74585 4.64380i 0.398404 0.238851i
\(379\) 6.71591 + 9.24366i 0.344973 + 0.474815i 0.945886 0.324500i \(-0.105196\pi\)
−0.600913 + 0.799315i \(0.705196\pi\)
\(380\) −4.20208 + 2.96381i −0.215562 + 0.152040i
\(381\) 3.61814 3.85810i 0.185363 0.197656i
\(382\) 1.93801 + 6.57275i 0.0991571 + 0.336291i
\(383\) −1.88563 1.36999i −0.0963511 0.0700031i 0.538567 0.842583i \(-0.318966\pi\)
−0.634918 + 0.772580i \(0.718966\pi\)
\(384\) −0.0556179 + 19.5958i −0.00283824 + 0.999996i
\(385\) 3.70596 + 9.99746i 0.188873 + 0.509518i
\(386\) 22.5532 15.4589i 1.14793 0.786839i
\(387\) 22.4476 + 14.2035i 1.14107 + 0.722005i
\(388\) −3.45699 13.0318i −0.175502 0.661589i
\(389\) −18.9031 + 6.14200i −0.958426 + 0.311412i −0.746135 0.665795i \(-0.768093\pi\)
−0.212291 + 0.977206i \(0.568093\pi\)
\(390\) −21.0117 + 23.0156i −1.06397 + 1.16544i
\(391\) 3.86818 + 1.25685i 0.195622 + 0.0635615i
\(392\) −3.56807 15.1113i −0.180215 0.763237i
\(393\) −29.8734 3.75356i −1.50691 0.189342i
\(394\) 25.0765 + 8.91531i 1.26333 + 0.449147i
\(395\) 8.85212 7.00083i 0.445398 0.352250i
\(396\) −13.5071 + 18.9597i −0.678756 + 0.952763i
\(397\) 14.0290 10.1927i 0.704098 0.511557i −0.177167 0.984181i \(-0.556693\pi\)
0.881264 + 0.472624i \(0.156693\pi\)
\(398\) −2.39793 3.49836i −0.120197 0.175357i
\(399\) −2.42850 0.305139i −0.121577 0.0152760i
\(400\) 15.8441 + 12.2051i 0.792207 + 0.610253i
\(401\) 10.2267i 0.510695i −0.966849 0.255348i \(-0.917810\pi\)
0.966849 0.255348i \(-0.0821899\pi\)
\(402\) −14.3695 27.8800i −0.716684 1.39053i
\(403\) −34.1893 47.0575i −1.70309 2.34410i
\(404\) −7.07403 2.73576i −0.351946 0.136109i
\(405\) 17.8194 9.35251i 0.885452 0.464730i
\(406\) 3.24150 9.11751i 0.160873 0.452495i
\(407\) −19.0474 −0.944147
\(408\) −6.01659 + 0.645502i −0.297866 + 0.0319571i
\(409\) −4.86517 + 14.9735i −0.240567 + 0.740390i 0.755767 + 0.654841i \(0.227264\pi\)
−0.996334 + 0.0855491i \(0.972736\pi\)
\(410\) 2.34410 + 6.89850i 0.115767 + 0.340693i
\(411\) 0.119145 0.0228109i 0.00587701 0.00112518i
\(412\) −18.0741 + 4.79459i −0.890449 + 0.236212i
\(413\) −8.31114 2.70045i −0.408964 0.132881i
\(414\) 13.1190 4.80222i 0.644764 0.236016i
\(415\) −9.13187 + 13.7130i −0.448266 + 0.673145i
\(416\) 14.0377 28.9637i 0.688255 1.42006i
\(417\) 11.7405 12.5191i 0.574934 0.613065i
\(418\) 6.05139 1.78428i 0.295983 0.0872721i
\(419\) −5.59286 4.06345i −0.273229 0.198513i 0.442730 0.896655i \(-0.354010\pi\)
−0.715959 + 0.698143i \(0.754010\pi\)
\(420\) 1.65873 + 9.37413i 0.0809377 + 0.457411i
\(421\) −0.0259883 + 0.0188816i −0.00126659 + 0.000920234i −0.588418 0.808557i \(-0.700249\pi\)
0.587152 + 0.809477i \(0.300249\pi\)
\(422\) 2.82871 3.67693i 0.137699 0.178990i
\(423\) −1.77504 27.6229i −0.0863052 1.34307i
\(424\) −13.4080 + 15.5801i −0.651148 + 0.756637i
\(425\) −3.21048 + 5.27585i −0.155731 + 0.255916i
\(426\) −0.939380 5.75736i −0.0455131 0.278945i
\(427\) −5.68534 + 1.84728i −0.275133 + 0.0893961i
\(428\) −1.43709 + 3.71598i −0.0694645 + 0.179619i
\(429\) 33.4939 18.4426i 1.61710 0.890419i
\(430\) −22.4305 + 16.7604i −1.08169 + 0.808258i
\(431\) 12.6570 + 9.19585i 0.609666 + 0.442948i 0.849297 0.527916i \(-0.177026\pi\)
−0.239631 + 0.970864i \(0.577026\pi\)
\(432\) −14.8934 + 14.4978i −0.716560 + 0.697526i
\(433\) 17.3778 + 12.6257i 0.835125 + 0.606754i 0.921005 0.389552i \(-0.127370\pi\)
−0.0858797 + 0.996306i \(0.527370\pi\)
\(434\) −17.7614 0.487301i −0.852575 0.0233912i
\(435\) 8.36364 19.8746i 0.401006 0.952913i
\(436\) −5.88997 4.79402i −0.282078 0.229592i
\(437\) −3.60085 1.16999i −0.172252 0.0559681i
\(438\) 6.18278 + 0.949765i 0.295425 + 0.0453815i
\(439\) 9.30974 3.02492i 0.444330 0.144371i −0.0783026 0.996930i \(-0.524950\pi\)
0.522632 + 0.852558i \(0.324950\pi\)
\(440\) −13.5880 20.4326i −0.647783 0.974087i
\(441\) 8.80574 13.9168i 0.419321 0.662705i
\(442\) 9.36471 + 3.32939i 0.445434 + 0.158363i
\(443\) −31.2816 −1.48623 −0.743117 0.669162i \(-0.766653\pi\)
−0.743117 + 0.669162i \(0.766653\pi\)
\(444\) −16.7321 3.04218i −0.794072 0.144376i
\(445\) −9.79712 26.4294i −0.464428 1.25287i
\(446\) 25.3694 32.9766i 1.20127 1.56149i
\(447\) −11.3327 20.5815i −0.536020 0.973473i
\(448\) −4.39783 8.79355i −0.207778 0.415456i
\(449\) 22.3573i 1.05511i −0.849522 0.527553i \(-0.823110\pi\)
0.849522 0.527553i \(-0.176890\pi\)
\(450\) 2.50573 + 21.0647i 0.118121 + 0.992999i
\(451\) 8.93914i 0.420928i
\(452\) 15.8993 19.5341i 0.747842 0.918805i
\(453\) −4.81248 8.74000i −0.226110 0.410641i
\(454\) −15.6935 12.0732i −0.736532 0.566624i
\(455\) 4.22084 15.0557i 0.197876 0.705822i
\(456\) 5.60079 0.600892i 0.262281 0.0281393i
\(457\) 8.89882 0.416269 0.208135 0.978100i \(-0.433261\pi\)
0.208135 + 0.978100i \(0.433261\pi\)
\(458\) −10.4648 + 29.4347i −0.488986 + 1.37539i
\(459\) −4.95350 4.08116i −0.231210 0.190492i
\(460\) −0.206607 + 14.7246i −0.00963312 + 0.686536i
\(461\) 9.82352 3.19186i 0.457527 0.148660i −0.0711808 0.997463i \(-0.522677\pi\)
0.528708 + 0.848804i \(0.322677\pi\)
\(462\) 1.77340 11.5445i 0.0825061 0.537098i
\(463\) 29.6245 + 9.62559i 1.37677 + 0.447339i 0.901606 0.432559i \(-0.142389\pi\)
0.475163 + 0.879898i \(0.342389\pi\)
\(464\) −2.43847 + 22.1359i −0.113203 + 1.02764i
\(465\) −39.4531 3.32849i −1.82959 0.154355i
\(466\) 0.298211 10.8694i 0.0138144 0.503513i
\(467\) 16.3829 + 11.9028i 0.758108 + 0.550798i 0.898329 0.439322i \(-0.144781\pi\)
−0.140221 + 0.990120i \(0.544781\pi\)
\(468\) 32.3681 10.8513i 1.49622 0.501604i
\(469\) 12.7315 + 9.24998i 0.587886 + 0.427124i
\(470\) 27.8674 + 8.64363i 1.28543 + 0.398701i
\(471\) −27.2643 + 15.0125i −1.25627 + 0.691737i
\(472\) 20.0437 + 1.65307i 0.922585 + 0.0760888i
\(473\) 32.6729 10.6161i 1.50230 0.488128i
\(474\) −12.2017 + 1.99085i −0.560445 + 0.0914430i
\(475\) 2.98860 4.91124i 0.137127 0.225343i
\(476\) 2.55038 1.64719i 0.116896 0.0754988i
\(477\) −21.7571 + 1.39811i −0.996191 + 0.0640149i
\(478\) 33.1077 + 25.4702i 1.51431 + 1.16498i
\(479\) 27.2744 19.8160i 1.24620 0.905415i 0.248202 0.968708i \(-0.420160\pi\)
0.997995 + 0.0632933i \(0.0201604\pi\)
\(480\) −8.67291 20.1192i −0.395862 0.918310i
\(481\) 22.5983 + 16.4186i 1.03039 + 0.748626i
\(482\) 2.76191 + 9.36700i 0.125801 + 0.426655i
\(483\) −4.79484 + 5.11285i −0.218173 + 0.232643i
\(484\) 2.07849 + 7.83529i 0.0944769 + 0.356149i
\(485\) 9.35059 + 11.8232i 0.424589 + 0.536866i
\(486\) −22.0390 0.530806i −0.999710 0.0240779i
\(487\) −3.32947 1.08181i −0.150873 0.0490214i 0.232607 0.972571i \(-0.425274\pi\)
−0.383480 + 0.923549i \(0.625274\pi\)
\(488\) 11.7572 7.14436i 0.532224 0.323410i
\(489\) −14.3764 + 2.75242i −0.650122 + 0.124469i
\(490\) 10.3909 + 13.9062i 0.469415 + 0.628218i
\(491\) −2.62548 + 8.08041i −0.118486 + 0.364664i −0.992658 0.120953i \(-0.961405\pi\)
0.874172 + 0.485617i \(0.161405\pi\)
\(492\) 1.42773 7.85255i 0.0643668 0.354020i
\(493\) −6.87682 −0.309716
\(494\) −8.71753 3.09930i −0.392220 0.139444i
\(495\) 5.40415 25.4595i 0.242899 1.14432i
\(496\) 40.0401 8.30191i 1.79786 0.372767i
\(497\) 1.72037 + 2.36789i 0.0771691 + 0.106214i
\(498\) 16.0424 8.26835i 0.718878 0.370514i
\(499\) 32.5279i 1.45615i −0.685498 0.728074i \(-0.740416\pi\)
0.685498 0.728074i \(-0.259584\pi\)
\(500\) −21.6846 5.45701i −0.969764 0.244045i
\(501\) 20.7248 + 2.60405i 0.925915 + 0.116340i
\(502\) −16.9123 + 11.5924i −0.754834 + 0.517396i
\(503\) −30.5719 + 22.2118i −1.36313 + 0.990375i −0.364896 + 0.931048i \(0.618895\pi\)
−0.998239 + 0.0593269i \(0.981105\pi\)
\(504\) 3.40168 9.85796i 0.151523 0.439109i
\(505\) 8.47278 0.346116i 0.377034 0.0154019i
\(506\) 6.05234 17.0237i 0.269059 0.756794i
\(507\) −33.2942 4.18338i −1.47865 0.185791i
\(508\) 0.334876 6.09828i 0.0148577 0.270567i
\(509\) 31.4258 + 10.2108i 1.39292 + 0.452588i 0.906895 0.421356i \(-0.138446\pi\)
0.486027 + 0.873944i \(0.338446\pi\)
\(510\) 5.88209 3.34232i 0.260463 0.148000i
\(511\) −2.98490 + 0.969852i −0.132044 + 0.0429037i
\(512\) 14.5010 + 17.3701i 0.640858 + 0.767659i
\(513\) 4.61117 + 3.79911i 0.203588 + 0.167735i
\(514\) −9.72794 14.1922i −0.429081 0.625990i
\(515\) 16.3980 12.9686i 0.722581 0.571465i
\(516\) 30.3970 4.10725i 1.33815 0.180812i
\(517\) −28.9610 21.0414i −1.27370 0.925400i
\(518\) 8.18438 2.41321i 0.359601 0.106030i
\(519\) −17.2803 + 18.4264i −0.758522 + 0.808829i
\(520\) −1.49151 + 35.9544i −0.0654071 + 1.57670i
\(521\) −13.6016 18.7210i −0.595897 0.820182i 0.399428 0.916765i \(-0.369209\pi\)
−0.995325 + 0.0965823i \(0.969209\pi\)
\(522\) −18.5867 + 14.5765i −0.813517 + 0.637997i
\(523\) 18.4875 6.00696i 0.808403 0.262666i 0.124482 0.992222i \(-0.460273\pi\)
0.683921 + 0.729556i \(0.260273\pi\)
\(524\) −29.2045 + 18.8621i −1.27580 + 0.823993i
\(525\) −5.87710 8.87366i −0.256498 0.387278i
\(526\) 1.40201 + 4.75491i 0.0611305 + 0.207324i
\(527\) 3.90201 + 12.0091i 0.169974 + 0.523127i
\(528\) 2.13337 + 26.7955i 0.0928429 + 1.16613i
\(529\) 9.83540 7.14584i 0.427626 0.310689i
\(530\) 6.80815 21.9497i 0.295727 0.953435i
\(531\) 13.6193 + 16.4181i 0.591029 + 0.712486i
\(532\) −2.37412 + 1.53335i −0.102931 + 0.0664793i
\(533\) −7.70542 + 10.6056i −0.333759 + 0.459380i
\(534\) −4.68818 + 30.5191i −0.202877 + 1.32069i
\(535\) −0.181814 4.45074i −0.00786052 0.192422i
\(536\) −33.4083 13.9851i −1.44302 0.604064i
\(537\) 7.46712 15.8961i 0.322230 0.685966i
\(538\) 0.00277491 0.101141i 0.000119635 0.00436051i
\(539\) −6.58164 20.2562i −0.283491 0.872497i
\(540\) 8.81355 21.5017i 0.379275 0.925284i
\(541\) −11.0215 + 33.9206i −0.473850 + 1.45836i 0.373653 + 0.927569i \(0.378105\pi\)
−0.847503 + 0.530791i \(0.821895\pi\)
\(542\) 19.3612 + 6.88339i 0.831635 + 0.295667i
\(543\) 5.44572 + 0.684250i 0.233698 + 0.0293640i
\(544\) −4.84125 + 5.03822i −0.207567 + 0.216012i
\(545\) 8.17555 + 2.29200i 0.350202 + 0.0981786i
\(546\) −12.0552 + 12.1680i −0.515915 + 0.520742i
\(547\) 18.3132 + 25.2059i 0.783015 + 1.07773i 0.994943 + 0.100442i \(0.0320258\pi\)
−0.211928 + 0.977285i \(0.567974\pi\)
\(548\) 0.0884243 0.108639i 0.00377730 0.00464082i
\(549\) 14.1386 + 3.61000i 0.603422 + 0.154071i
\(550\) 23.0364 + 14.8990i 0.982277 + 0.635295i
\(551\) 6.40157 0.272716
\(552\) 8.03560 13.9877i 0.342018 0.595356i
\(553\) 5.01833 3.64603i 0.213401 0.155045i
\(554\) −2.59589 1.99705i −0.110289 0.0848466i
\(555\) 18.5131 4.33459i 0.785838 0.183993i
\(556\) 1.08664 19.7883i 0.0460838 0.839211i
\(557\) 9.62827i 0.407963i −0.978975 0.203981i \(-0.934612\pi\)
0.978975 0.203981i \(-0.0653882\pi\)
\(558\) 36.0017 + 24.1874i 1.52407 + 1.02393i
\(559\) −47.9148 15.5685i −2.02658 0.658476i
\(560\) 8.42724 + 7.05803i 0.356116 + 0.298256i
\(561\) −8.15243 + 1.56082i −0.344196 + 0.0658979i
\(562\) −0.986095 + 35.9417i −0.0415959 + 1.51611i
\(563\) 4.47722 13.7795i 0.188692 0.580735i −0.811300 0.584630i \(-0.801240\pi\)
0.999992 + 0.00389491i \(0.00123979\pi\)
\(564\) −22.0800 23.1093i −0.929736 0.973075i
\(565\) −7.60142 + 27.1142i −0.319794 + 1.14070i
\(566\) −1.04759 + 38.1833i −0.0440337 + 1.60496i
\(567\) 9.99560 4.73632i 0.419776 0.198907i
\(568\) −5.10562 4.39381i −0.214227 0.184360i
\(569\) −17.5865 + 24.2058i −0.737266 + 1.01476i 0.261506 + 0.965202i \(0.415781\pi\)
−0.998771 + 0.0495571i \(0.984219\pi\)
\(570\) −5.47559 + 3.11133i −0.229347 + 0.130319i
\(571\) −27.4754 37.8167i −1.14981 1.58258i −0.743340 0.668914i \(-0.766760\pi\)
−0.406470 0.913664i \(-0.633240\pi\)
\(572\) 15.9252 41.1787i 0.665865 1.72177i
\(573\) 1.57813 + 8.24286i 0.0659274 + 0.344351i
\(574\) 1.13254 + 3.84100i 0.0472713 + 0.160320i
\(575\) −6.34793 15.1912i −0.264727 0.633518i
\(576\) −2.40563 + 23.8791i −0.100234 + 0.994964i
\(577\) −5.76476 17.7421i −0.239990 0.738613i −0.996420 0.0845388i \(-0.973058\pi\)
0.756430 0.654074i \(-0.226942\pi\)
\(578\) 17.3451 + 13.3438i 0.721461 + 0.555030i
\(579\) 29.3348 16.1526i 1.21911 0.671277i
\(580\) −7.36106 23.7855i −0.305651 0.987637i
\(581\) −5.32254 + 7.32584i −0.220816 + 0.303927i
\(582\) −2.65906 16.2971i −0.110222 0.675538i
\(583\) −16.5732 + 22.8111i −0.686394 + 0.944740i
\(584\) 6.17272 3.75090i 0.255429 0.155213i
\(585\) −28.3574 + 25.5474i −1.17243 + 1.05626i
\(586\) −16.7463 24.4314i −0.691784 1.00925i
\(587\) −6.80985 + 20.9586i −0.281073 + 0.865053i 0.706476 + 0.707737i \(0.250284\pi\)
−0.987548 + 0.157316i \(0.949716\pi\)
\(588\) −2.54637 18.8452i −0.105011 0.777162i
\(589\) −3.63235 11.1792i −0.149668 0.460631i
\(590\) −21.2900 + 7.23432i −0.876497 + 0.297832i
\(591\) 29.5026 + 13.8587i 1.21357 + 0.570072i
\(592\) −17.0553 + 9.73359i −0.700969 + 0.400048i
\(593\) 35.4019i 1.45378i 0.686753 + 0.726891i \(0.259036\pi\)
−0.686753 + 0.726891i \(0.740964\pi\)
\(594\) −18.7260 + 21.4990i −0.768337 + 0.882114i
\(595\) −1.88144 + 2.82529i −0.0771315 + 0.115826i
\(596\) −25.3037 9.78579i −1.03648 0.400842i
\(597\) −2.50552 4.55030i −0.102544 0.186232i
\(598\) −21.8548 + 14.9802i −0.893709 + 0.612587i
\(599\) −25.3046 −1.03392 −0.516958 0.856010i \(-0.672936\pi\)
−0.516958 + 0.856010i \(0.672936\pi\)
\(600\) 17.8566 + 16.7672i 0.728994 + 0.684520i
\(601\) −16.9777 −0.692535 −0.346267 0.938136i \(-0.612551\pi\)
−0.346267 + 0.938136i \(0.612551\pi\)
\(602\) −12.6940 + 8.70103i −0.517370 + 0.354628i
\(603\) −14.1891 35.6978i −0.577824 1.45373i
\(604\) −10.7453 4.15556i −0.437220 0.169088i
\(605\) −5.62199 7.10866i −0.228566 0.289008i
\(606\) −8.29629 4.17862i −0.337014 0.169745i
\(607\) 44.7939i 1.81813i −0.416657 0.909064i \(-0.636798\pi\)
0.416657 0.909064i \(-0.363202\pi\)
\(608\) 4.50668 4.69003i 0.182770 0.190206i
\(609\) 5.03888 10.7268i 0.204186 0.434672i
\(610\) −8.87352 + 12.5640i −0.359278 + 0.508700i
\(611\) 16.2226 + 49.9280i 0.656295 + 2.01987i
\(612\) −7.41076 + 0.0690202i −0.299562 + 0.00278998i
\(613\) −3.17062 + 9.75817i −0.128060 + 0.394129i −0.994446 0.105246i \(-0.966437\pi\)
0.866386 + 0.499375i \(0.166437\pi\)
\(614\) 19.0254 + 27.7564i 0.767804 + 1.12016i
\(615\) 2.03426 + 8.68838i 0.0820294 + 0.350349i
\(616\) −7.00369 11.5257i −0.282187 0.464384i
\(617\) −8.96812 + 12.3436i −0.361043 + 0.496933i −0.950439 0.310911i \(-0.899366\pi\)
0.589396 + 0.807844i \(0.299366\pi\)
\(618\) −22.6029 + 3.68793i −0.909224 + 0.148350i
\(619\) 3.06471 4.21821i 0.123181 0.169544i −0.742973 0.669322i \(-0.766585\pi\)
0.866154 + 0.499777i \(0.166585\pi\)
\(620\) −37.3603 + 26.3510i −1.50043 + 1.05828i
\(621\) 16.5640 4.28840i 0.664689 0.172087i
\(622\) −4.67436 3.59605i −0.187425 0.144188i
\(623\) −4.78733 14.7339i −0.191800 0.590301i
\(624\) 20.5663 33.6297i 0.823311 1.34627i
\(625\) 24.6674 4.06464i 0.986694 0.162585i
\(626\) −4.02209 13.6409i −0.160755 0.545200i
\(627\) 7.58903 1.45295i 0.303077 0.0580254i
\(628\) −12.9632 + 33.5198i −0.517288 + 1.33758i
\(629\) −3.56428 4.90581i −0.142117 0.195608i
\(630\) 0.903502 + 11.6242i 0.0359964 + 0.463120i
\(631\) −16.4434 + 22.6324i −0.654601 + 0.900981i −0.999288 0.0377370i \(-0.987985\pi\)
0.344687 + 0.938718i \(0.387985\pi\)
\(632\) −9.31192 + 10.8205i −0.370408 + 0.430416i
\(633\) 3.88664 4.14441i 0.154480 0.164726i
\(634\) −0.749198 + 27.3071i −0.0297544 + 1.08451i
\(635\) 2.37339 + 6.40261i 0.0941850 + 0.254080i
\(636\) −18.2020 + 17.3913i −0.721756 + 0.689610i
\(637\) −9.65197 + 29.7057i −0.382425 + 1.17698i
\(638\) −0.837805 + 30.5367i −0.0331690 + 1.20896i
\(639\) −0.458161 7.12984i −0.0181246 0.282052i
\(640\) −22.6083 11.3519i −0.893671 0.448722i
\(641\) −39.4188 12.8080i −1.55695 0.505884i −0.600959 0.799280i \(-0.705215\pi\)
−0.955991 + 0.293396i \(0.905215\pi\)
\(642\) −2.19503 + 4.35804i −0.0866308 + 0.171998i
\(643\) 19.4002i 0.765068i 0.923941 + 0.382534i \(0.124949\pi\)
−0.923941 + 0.382534i \(0.875051\pi\)
\(644\) −0.443786 + 8.08158i −0.0174876 + 0.318459i
\(645\) −29.3405 + 17.7536i −1.15528 + 0.699047i
\(646\) 1.59193 + 1.22469i 0.0626337 + 0.0481849i
\(647\) −25.7208 + 18.6872i −1.01119 + 0.734672i −0.964458 0.264236i \(-0.914880\pi\)
−0.0467306 + 0.998908i \(0.514880\pi\)
\(648\) −19.8835 + 15.8948i −0.781098 + 0.624409i
\(649\) 27.5878 1.08292
\(650\) −14.4882 37.5336i −0.568275 1.47219i
\(651\) −21.5916 2.71296i −0.846242 0.106329i
\(652\) −10.6695 + 13.1086i −0.417850 + 0.513374i
\(653\) −6.47169 8.90751i −0.253257 0.348578i 0.663392 0.748272i \(-0.269116\pi\)
−0.916648 + 0.399694i \(0.869116\pi\)
\(654\) −6.60747 6.54622i −0.258372 0.255977i
\(655\) 21.5445 32.3525i 0.841812 1.26412i
\(656\) −4.56806 8.00421i −0.178353 0.312512i
\(657\) 7.42301 + 1.89531i 0.289599 + 0.0739431i
\(658\) 15.1099 + 5.37195i 0.589045 + 0.209420i
\(659\) −2.86099 + 8.80524i −0.111449 + 0.343003i −0.991190 0.132449i \(-0.957716\pi\)
0.879741 + 0.475453i \(0.157716\pi\)
\(660\) −14.1250 26.5268i −0.549816 1.03255i
\(661\) −5.27672 16.2401i −0.205240 0.631665i −0.999703 0.0243526i \(-0.992248\pi\)
0.794463 0.607313i \(-0.207752\pi\)
\(662\) 0.690354 25.1624i 0.0268314 0.977963i
\(663\) 11.0176 + 5.17550i 0.427890 + 0.201000i
\(664\) 8.04717 19.2235i 0.312291 0.746017i
\(665\) 1.75141 2.63004i 0.0679169 0.101988i
\(666\) −20.0322 5.70437i −0.776232 0.221040i
\(667\) 10.7757 14.8315i 0.417237 0.574278i
\(668\) 20.2607 13.0856i 0.783911 0.506298i
\(669\) 34.8574 37.1693i 1.34767 1.43705i
\(670\) 40.4886 0.542520i 1.56421 0.0209594i
\(671\) 15.2676 11.0926i 0.589400 0.428224i
\(672\) −4.31152 11.2433i −0.166320 0.433720i
\(673\) −0.743148 2.28717i −0.0286462 0.0881641i 0.935711 0.352767i \(-0.114759\pi\)
−0.964357 + 0.264603i \(0.914759\pi\)
\(674\) −0.548552 1.86041i −0.0211294 0.0716603i
\(675\) 0.541210 + 25.9751i 0.0208312 + 0.999783i
\(676\) −32.5487 + 21.0220i −1.25187 + 0.808537i
\(677\) −14.7796 + 4.80217i −0.568025 + 0.184562i −0.578929 0.815378i \(-0.696529\pi\)
0.0109039 + 0.999941i \(0.496529\pi\)
\(678\) 21.7105 21.9136i 0.833786 0.841588i
\(679\) 4.86978 + 6.70268i 0.186885 + 0.257225i
\(680\) 2.71990 7.32318i 0.104303 0.280831i
\(681\) −17.6887 16.5886i −0.677834 0.635675i
\(682\) 53.8024 15.8639i 2.06020 0.607461i
\(683\) −17.7854 12.9218i −0.680539 0.494440i 0.192998 0.981199i \(-0.438179\pi\)
−0.873536 + 0.486759i \(0.838179\pi\)
\(684\) 6.89861 0.0642503i 0.263775 0.00245667i
\(685\) −0.0422753 + 0.150796i −0.00161526 + 0.00576161i
\(686\) 12.2730 + 17.9052i 0.468585 + 0.683623i
\(687\) −16.2673 + 34.6300i −0.620637 + 1.32122i
\(688\) 23.8307 26.2022i 0.908537 0.998950i
\(689\) 39.3257 12.7777i 1.49819 0.486792i
\(690\) −2.00852 + 17.9234i −0.0764629 + 0.682333i
\(691\) −10.1931 3.31195i −0.387766 0.125993i 0.108645 0.994081i \(-0.465349\pi\)
−0.496410 + 0.868088i \(0.665349\pi\)
\(692\) −1.59938 + 29.1255i −0.0607992 + 1.10719i
\(693\) 3.53892 13.8602i 0.134432 0.526507i
\(694\) −1.13495 + 3.19232i −0.0430821 + 0.121179i
\(695\) 7.70140 + 20.7758i 0.292131 + 0.788073i
\(696\) −5.61317 + 26.6910i −0.212767 + 1.01172i
\(697\) 2.30234 1.67275i 0.0872075 0.0633599i
\(698\) −42.4609 + 29.1046i −1.60717 + 1.10162i
\(699\) 1.66024 13.2133i 0.0627960 0.499773i
\(700\) −11.7860 3.48326i −0.445469 0.131655i
\(701\) 19.3564i 0.731081i 0.930796 + 0.365540i \(0.119116\pi\)
−0.930796 + 0.365540i \(0.880884\pi\)
\(702\) 40.7488 9.36533i 1.53796 0.353471i
\(703\) 3.31796 + 4.56678i 0.125139 + 0.172239i
\(704\) 21.7826 + 22.1116i 0.820961 + 0.833361i
\(705\) 32.9369 + 13.8605i 1.24048 + 0.522018i
\(706\) 20.6129 + 7.32842i 0.775778 + 0.275809i
\(707\) 4.66072 0.175284
\(708\) 24.2344 + 4.40622i 0.910785 + 0.165596i
\(709\) 4.73586 14.5755i 0.177859 0.547393i −0.821894 0.569641i \(-0.807082\pi\)
0.999752 + 0.0222477i \(0.00708225\pi\)
\(710\) 7.19295 + 2.23104i 0.269947 + 0.0837294i
\(711\) −15.1105 + 0.970993i −0.566687 + 0.0364151i
\(712\) 18.5150 + 30.4695i 0.693879 + 1.14189i
\(713\) −32.0149 10.4023i −1.19897 0.389568i
\(714\) 3.30522 1.70353i 0.123695 0.0637529i
\(715\) 2.01478 + 49.3210i 0.0753484 + 1.84450i
\(716\) −5.19976 19.6015i −0.194324 0.732543i
\(717\) 37.3170 + 34.9960i 1.39363 + 1.30695i
\(718\) −9.78668 33.1915i −0.365236 1.23870i
\(719\) −16.8458 12.2392i −0.628244 0.456446i 0.227547 0.973767i \(-0.426929\pi\)
−0.855791 + 0.517321i \(0.826929\pi\)
\(720\) −8.17132 25.5584i −0.304527 0.952504i
\(721\) 9.29613 6.75404i 0.346206 0.251533i
\(722\) 19.8151 + 15.2440i 0.737441 + 0.567323i
\(723\) 2.24904 + 11.7471i 0.0836427 + 0.436880i
\(724\) 5.32379 3.43843i 0.197857 0.127788i
\(725\) 18.1447 + 21.1112i 0.673879 + 0.784052i
\(726\) 1.59875 + 9.79856i 0.0593351 + 0.363659i
\(727\) −17.4446 + 5.66809i −0.646984 + 0.210218i −0.614084 0.789241i \(-0.710474\pi\)
−0.0329001 + 0.999459i \(0.510474\pi\)
\(728\) −1.62567 + 19.7114i −0.0602514 + 0.730555i
\(729\) −26.8005 3.27632i −0.992610 0.121345i
\(730\) −4.65874 + 6.59628i −0.172428 + 0.244139i
\(731\) 8.84822 + 6.42861i 0.327263 + 0.237771i
\(732\) 15.1834 7.30574i 0.561196 0.270028i
\(733\) −18.0256 13.0963i −0.665790 0.483724i 0.202824 0.979215i \(-0.434988\pi\)
−0.868613 + 0.495491i \(0.834988\pi\)
\(734\) −0.200574 + 7.31064i −0.00740334 + 0.269841i
\(735\) 11.0067 + 18.1902i 0.405988 + 0.670956i
\(736\) −3.28006 18.3360i −0.120905 0.675875i
\(737\) −47.2489 15.3521i −1.74044 0.565502i
\(738\) 2.67711 9.40130i 0.0985459 0.346067i
\(739\) 22.6043 7.34458i 0.831512 0.270175i 0.137830 0.990456i \(-0.455987\pi\)
0.693682 + 0.720281i \(0.255987\pi\)
\(740\) 13.1529 17.5794i 0.483510 0.646230i
\(741\) −10.2562 4.81782i −0.376772 0.176987i
\(742\) 4.23121 11.9013i 0.155333 0.436910i
\(743\) 3.10386 0.113869 0.0569347 0.998378i \(-0.481867\pi\)
0.0569347 + 0.998378i \(0.481867\pi\)
\(744\) 49.7962 5.34248i 1.82562 0.195865i
\(745\) 30.3071 1.23805i 1.11036 0.0453587i
\(746\) 25.9299 + 19.9483i 0.949363 + 0.730357i
\(747\) 20.5409 8.16456i 0.751551 0.298725i
\(748\) −6.05037 + 7.43354i −0.221223 + 0.271797i
\(749\) 2.44827i 0.0894579i
\(750\) −25.7807 9.23868i −0.941380 0.337349i
\(751\) 16.8390i 0.614463i 0.951635 + 0.307231i \(0.0994026\pi\)
−0.951635 + 0.307231i \(0.900597\pi\)
\(752\) −36.6845 4.04112i −1.33775 0.147365i
\(753\) −21.9978 + 12.1126i −0.801644 + 0.441407i
\(754\) 27.3162 35.5073i 0.994799 1.29310i
\(755\) 12.8700 0.525743i 0.468387 0.0191337i
\(756\) 5.32245 11.6102i 0.193576 0.422260i
\(757\) 35.8891 1.30441 0.652206 0.758041i \(-0.273844\pi\)
0.652206 + 0.758041i \(0.273844\pi\)
\(758\) 15.2249 + 5.41284i 0.552994 + 0.196603i
\(759\) 9.40828 20.0284i 0.341499 0.726986i
\(760\) −2.53193 + 6.81708i −0.0918426 + 0.247282i
\(761\) 2.76654 0.898904i 0.100287 0.0325852i −0.258444 0.966026i \(-0.583210\pi\)
0.358731 + 0.933441i \(0.383210\pi\)
\(762\) 1.13573 7.39337i 0.0411431 0.267833i
\(763\) 4.43831 + 1.44209i 0.160678 + 0.0522073i
\(764\) 7.51599 + 6.11748i 0.271919 + 0.221323i
\(765\) 7.56855 3.37227i 0.273641 0.121925i
\(766\) −3.29496 0.0904003i −0.119052 0.00326630i
\(767\) −32.7308 23.7803i −1.18184 0.858659i
\(768\) 15.6032 + 22.9028i 0.563033 + 0.826434i
\(769\) −34.2245 24.8656i −1.23417 0.896675i −0.236972 0.971517i \(-0.576155\pi\)
−0.997195 + 0.0748416i \(0.976155\pi\)
\(770\) 12.3166 + 8.69879i 0.443858 + 0.313483i
\(771\) −10.1644 18.4597i −0.366062 0.664810i
\(772\) 13.9477 36.0654i 0.501988 1.29802i
\(773\) 19.9734 6.48976i 0.718395 0.233421i 0.0730675 0.997327i \(-0.476721\pi\)
0.645327 + 0.763906i \(0.276721\pi\)
\(774\) 37.5415 1.37998i 1.34940 0.0496024i
\(775\) 26.5714 43.6654i 0.954475 1.56851i
\(776\) −14.4523 12.4374i −0.518806 0.446476i
\(777\) 10.2640 1.96509i 0.368219 0.0704972i
\(778\) −17.1394 + 22.2788i −0.614477 + 0.798734i
\(779\) −2.14323 + 1.55715i −0.0767892 + 0.0557906i
\(780\) −6.10748 + 43.6476i −0.218683 + 1.56283i
\(781\) −7.47523 5.43107i −0.267485 0.194339i
\(782\) 5.51712 1.62675i 0.197292 0.0581726i
\(783\) −24.3947 + 15.5502i −0.871795 + 0.555718i
\(784\) −16.2446 14.7743i −0.580163 0.527654i
\(785\) −1.64004 40.1477i −0.0585357 1.43293i
\(786\) −37.8483 + 19.5072i −1.35000 + 0.695798i
\(787\) 21.3540 + 6.93832i 0.761186 + 0.247324i 0.663788 0.747921i \(-0.268948\pi\)
0.0973986 + 0.995245i \(0.468948\pi\)
\(788\) 36.3798 9.65059i 1.29598 0.343788i
\(789\) 1.14167 + 5.96312i 0.0406444 + 0.212293i
\(790\) 4.72830 15.2442i 0.168225 0.542365i
\(791\) −4.78270 + 14.7196i −0.170053 + 0.523370i
\(792\) −0.596368 + 32.9161i −0.0211910 + 1.16962i
\(793\) −27.6755 −0.982786
\(794\) 8.21504 23.1068i 0.291541 0.820029i
\(795\) 10.9173 25.9427i 0.387195 0.920094i
\(796\) −5.59432 2.16351i −0.198285 0.0766836i
\(797\) −12.4099 17.0808i −0.439582 0.605033i 0.530537 0.847662i \(-0.321990\pi\)
−0.970119 + 0.242629i \(0.921990\pi\)
\(798\) −3.07680 + 1.58580i −0.108918 + 0.0561366i
\(799\) 11.3965i 0.403180i
\(800\) 28.2407 + 1.56869i 0.998461 + 0.0554617i
\(801\) −9.35552 + 36.6411i −0.330561 + 1.29465i
\(802\) −8.17686 11.9293i −0.288735 0.421238i
\(803\) 8.01575 5.82378i 0.282870 0.205517i
\(804\) −39.0536 21.0324i −1.37732 0.741756i
\(805\) −3.14527 8.48490i −0.110856 0.299053i
\(806\) −77.5068 27.5556i −2.73006 0.970605i
\(807\) 0.0154488 0.122952i 0.000543823 0.00432812i
\(808\) −10.4392 + 2.46489i −0.367250 + 0.0867146i
\(809\) 27.2832 + 8.86483i 0.959225 + 0.311671i 0.746458 0.665432i \(-0.231753\pi\)
0.212766 + 0.977103i \(0.431753\pi\)
\(810\) 13.3082 25.1573i 0.467603 0.883939i
\(811\) 10.1971 3.31323i 0.358067 0.116343i −0.124459 0.992225i \(-0.539719\pi\)
0.482526 + 0.875882i \(0.339719\pi\)
\(812\) −3.50884 13.2273i −0.123136 0.464186i
\(813\) 22.7786 + 10.7001i 0.798879 + 0.375271i
\(814\) −22.2187 + 15.2296i −0.778764 + 0.533798i
\(815\) 5.10105 18.1954i 0.178682 0.637357i
\(816\) −6.50218 + 5.56362i −0.227622 + 0.194765i
\(817\) −8.23673 5.98434i −0.288167 0.209365i
\(818\) 6.29705 + 21.3564i 0.220171 + 0.746709i
\(819\) −16.1460 + 13.3936i −0.564187 + 0.468010i
\(820\) 8.25015 + 6.17278i 0.288108 + 0.215563i
\(821\) −7.98107 10.9850i −0.278541 0.383379i 0.646709 0.762737i \(-0.276145\pi\)
−0.925250 + 0.379358i \(0.876145\pi\)
\(822\) 0.120743 0.121873i 0.00421140 0.00425080i
\(823\) 34.4610 11.1971i 1.20123 0.390305i 0.361020 0.932558i \(-0.382429\pi\)
0.840215 + 0.542253i \(0.182429\pi\)
\(824\) −17.2497 + 20.0443i −0.600923 + 0.698275i
\(825\) 26.3021 + 20.9090i 0.915721 + 0.727957i
\(826\) −11.8540 + 3.49523i −0.412455 + 0.121615i
\(827\) 3.84642 + 11.8381i 0.133753 + 0.411650i 0.995394 0.0958685i \(-0.0305628\pi\)
−0.861641 + 0.507519i \(0.830563\pi\)
\(828\) 11.4635 16.0912i 0.398385 0.559209i
\(829\) −20.5223 + 14.9104i −0.712771 + 0.517858i −0.884066 0.467362i \(-0.845205\pi\)
0.171296 + 0.985220i \(0.445205\pi\)
\(830\) 0.312172 + 23.2976i 0.0108356 + 0.808671i
\(831\) −2.92593 2.74394i −0.101499 0.0951863i
\(832\) −6.78347 45.0099i −0.235174 1.56044i
\(833\) 3.98554 5.48563i 0.138091 0.190066i
\(834\) 3.68532 23.9907i 0.127612 0.830731i
\(835\) −14.9465 + 22.4447i −0.517246 + 0.776731i
\(836\) 5.63224 6.91981i 0.194795 0.239327i
\(837\) 40.9976 + 33.7776i 1.41708 + 1.16753i
\(838\) −9.77300 0.268132i −0.337603 0.00926246i
\(839\) −1.20761 3.71664i −0.0416913 0.128313i 0.928044 0.372469i \(-0.121489\pi\)
−0.969736 + 0.244157i \(0.921489\pi\)
\(840\) 9.43010 + 9.60857i 0.325369 + 0.331527i
\(841\) −0.616996 + 1.89892i −0.0212757 + 0.0654800i
\(842\) −0.0152181 + 0.0428045i −0.000524450 + 0.00147514i
\(843\) −5.48991 + 43.6924i −0.189083 + 1.50485i
\(844\) 0.359728 6.55083i 0.0123823 0.225489i
\(845\) 24.0115 36.0572i 0.826021 1.24041i
\(846\) −24.1568 30.8026i −0.830527 1.05901i
\(847\) −2.92793 4.02995i −0.100605 0.138471i
\(848\) −3.18299 + 28.8946i −0.109304 + 0.992243i
\(849\) −5.83230 + 46.4174i −0.200164 + 1.59304i
\(850\) 0.473381 + 8.72120i 0.0162368 + 0.299135i
\(851\) 16.1657 0.554152
\(852\) −5.69915 5.96481i −0.195250 0.204351i
\(853\) 15.8012 11.4803i 0.541024 0.393077i −0.283441 0.958990i \(-0.591476\pi\)
0.824465 + 0.565913i \(0.191476\pi\)
\(854\) −5.15488 + 6.70062i −0.176396 + 0.229291i
\(855\) −7.04549 + 3.13921i −0.240951 + 0.107359i
\(856\) 1.29481 + 5.48370i 0.0442555 + 0.187429i
\(857\) 5.43507i 0.185659i −0.995682 0.0928293i \(-0.970409\pi\)
0.995682 0.0928293i \(-0.0295911\pi\)
\(858\) 24.3242 48.2936i 0.830416 1.64872i
\(859\) −32.7111 10.6285i −1.11609 0.362639i −0.307814 0.951447i \(-0.599597\pi\)
−0.808273 + 0.588808i \(0.799597\pi\)
\(860\) −12.7639 + 37.4854i −0.435246 + 1.27824i
\(861\) 0.922235 + 4.81699i 0.0314297 + 0.164163i
\(862\) 22.1169 + 0.606799i 0.753305 + 0.0206677i
\(863\) 10.1831 31.3405i 0.346638 1.06684i −0.614063 0.789257i \(-0.710466\pi\)
0.960701 0.277585i \(-0.0895339\pi\)
\(864\) −5.78111 + 28.8198i −0.196677 + 0.980468i
\(865\) −11.3354 30.5790i −0.385414 1.03972i
\(866\) 30.3661 + 0.833124i 1.03188 + 0.0283107i
\(867\) 19.5503 + 18.3344i 0.663964 + 0.622668i
\(868\) −21.1081 + 13.6329i −0.716457 + 0.462732i
\(869\) −11.5102 + 15.8425i −0.390458 + 0.537419i
\(870\) −6.13488 29.8708i −0.207992 1.01271i
\(871\) 42.8239 + 58.9420i 1.45103 + 1.99717i
\(872\) −10.7037 0.882772i −0.362473 0.0298944i
\(873\) −1.29690 20.1821i −0.0438933 0.683062i
\(874\) −5.13584 + 1.51433i −0.173722 + 0.0512230i
\(875\) 13.6376 1.67878i 0.461036 0.0567531i
\(876\) 7.97155 3.83563i 0.269334 0.129594i
\(877\) 5.87644 + 18.0858i 0.198433 + 0.610715i 0.999919 + 0.0127012i \(0.00404303\pi\)
−0.801486 + 0.598013i \(0.795957\pi\)
\(878\) 8.44111 10.9723i 0.284874 0.370296i
\(879\) −17.4977 31.7777i −0.590182 1.07184i
\(880\) −32.1874 12.9700i −1.08504 0.437218i
\(881\) 24.3407 33.5020i 0.820057 1.12871i −0.169636 0.985507i \(-0.554259\pi\)
0.989693 0.143205i \(-0.0457409\pi\)
\(882\) −0.855547 23.2746i −0.0288078 0.783695i
\(883\) −23.4758 + 32.3117i −0.790025 + 1.08738i 0.204080 + 0.978954i \(0.434580\pi\)
−0.994105 + 0.108422i \(0.965420\pi\)
\(884\) 13.5859 3.60398i 0.456943 0.121215i
\(885\) −26.8139 + 6.27811i −0.901341 + 0.211036i
\(886\) −36.4897 + 25.0116i −1.22589 + 0.840281i
\(887\) 8.93131 27.4878i 0.299884 0.922949i −0.681653 0.731676i \(-0.738739\pi\)
0.981537 0.191273i \(-0.0612615\pi\)
\(888\) −21.9503 + 9.82972i −0.736604 + 0.329864i
\(889\) 1.15975 + 3.56934i 0.0388967 + 0.119712i
\(890\) −32.5602 22.9962i −1.09142 0.770835i
\(891\) −25.3904 + 23.9715i −0.850610 + 0.803075i
\(892\) 3.22623 58.7513i 0.108022 1.96714i
\(893\) 10.6089i 0.355014i
\(894\) −29.6758 14.9469i −0.992506 0.499899i
\(895\) 14.0645 + 17.7837i 0.470125 + 0.594444i
\(896\) −12.1610 6.74124i −0.406271 0.225209i
\(897\) −28.4264 + 15.6524i −0.949131 + 0.522617i
\(898\) −17.8761 26.0796i −0.596532 0.870286i
\(899\) 56.9158 1.89825
\(900\) 19.7655 + 22.5683i 0.658848 + 0.752276i
\(901\) −8.97647 −0.299049
\(902\) −7.14741 10.4274i −0.237983 0.347195i
\(903\) −16.5111 + 9.09144i −0.549454 + 0.302544i
\(904\) 2.92771 35.4988i 0.0973742 1.18067i
\(905\) −3.92741 + 5.89765i −0.130552 + 0.196045i
\(906\) −12.6019 6.34724i −0.418670 0.210873i
\(907\) 3.37449i 0.112048i 0.998429 + 0.0560241i \(0.0178424\pi\)
−0.998429 + 0.0560241i \(0.982158\pi\)
\(908\) −27.9596 1.53535i −0.927871 0.0509524i
\(909\) −9.61400 6.08318i −0.318876 0.201766i
\(910\) −7.11441 20.9372i −0.235841 0.694060i
\(911\) 0.913071 + 2.81014i 0.0302514 + 0.0931042i 0.965042 0.262094i \(-0.0844132\pi\)
−0.934791 + 0.355199i \(0.884413\pi\)
\(912\) 6.05282 5.17912i 0.200429 0.171498i
\(913\) 8.83377 27.1875i 0.292355 0.899776i
\(914\) 10.3804 7.11516i 0.343352 0.235349i
\(915\) −12.3150 + 14.2558i −0.407122 + 0.471283i
\(916\) 11.3278 + 42.7025i 0.374282 + 1.41093i
\(917\) 12.5572 17.2836i 0.414677 0.570754i
\(918\) −9.04136 0.799992i −0.298409 0.0264037i
\(919\) −12.0770 + 16.6226i −0.398385 + 0.548330i −0.960338 0.278840i \(-0.910050\pi\)
0.561953 + 0.827169i \(0.310050\pi\)
\(920\) 11.5322 + 17.3413i 0.380206 + 0.571724i
\(921\) 19.8791 + 36.1026i 0.655038 + 1.18962i
\(922\) 8.90695 11.5778i 0.293335 0.381294i
\(923\) 4.18727 + 12.8871i 0.137826 + 0.424184i
\(924\) −7.16189 14.8845i −0.235609 0.489663i
\(925\) −5.65593 + 23.8862i −0.185966 + 0.785374i
\(926\) 42.2530 12.4585i 1.38852 0.409412i
\(927\) −27.9912 + 1.79870i −0.919351 + 0.0590771i
\(928\) 14.8546 + 27.7711i 0.487627 + 0.911630i
\(929\) 0.0337401 + 0.0464393i 0.00110698 + 0.00152362i 0.809570 0.587023i \(-0.199700\pi\)
−0.808463 + 0.588547i \(0.799700\pi\)
\(930\) −48.6830 + 27.6626i −1.59638 + 0.907092i
\(931\) −3.71011 + 5.10652i −0.121594 + 0.167359i
\(932\) −8.34287 12.9174i −0.273280 0.423125i
\(933\) −5.26866 4.94096i −0.172488 0.161760i
\(934\) 28.6275 + 0.785423i 0.936721 + 0.0256998i
\(935\) 2.89266 10.3181i 0.0946001 0.337438i
\(936\) 29.0808 38.5384i 0.950535 1.25967i
\(937\) −3.68522 + 11.3419i −0.120391 + 0.370525i −0.993033 0.117835i \(-0.962405\pi\)
0.872642 + 0.488360i \(0.162405\pi\)
\(938\) 22.2471 + 0.610371i 0.726394 + 0.0199293i
\(939\) −3.27521 17.1070i −0.106883 0.558266i
\(940\) 39.4182 12.1990i 1.28568 0.397888i
\(941\) −51.7368 16.8103i −1.68657 0.548001i −0.700404 0.713746i \(-0.746997\pi\)
−0.986169 + 0.165746i \(0.946997\pi\)
\(942\) −19.8001 + 39.3114i −0.645123 + 1.28083i
\(943\) 7.58669i 0.247057i
\(944\) 24.7025 14.0979i 0.803997 0.458847i
\(945\) −0.285501 + 14.2768i −0.00928734 + 0.464424i
\(946\) 29.6244 38.5076i 0.963173 1.25199i
\(947\) 4.82467 3.50533i 0.156781 0.113908i −0.506629 0.862164i \(-0.669109\pi\)
0.663410 + 0.748256i \(0.269109\pi\)
\(948\) −12.6414 + 12.0784i −0.410574 + 0.392287i
\(949\) −14.5301 −0.471666
\(950\) −0.440666 8.11849i −0.0142971 0.263399i
\(951\) −4.17102 + 33.1958i −0.135255 + 1.07645i
\(952\) 1.65796 3.96062i 0.0537347 0.128364i
\(953\) 2.16180 + 2.97547i 0.0700277 + 0.0963849i 0.842594 0.538549i \(-0.181027\pi\)
−0.772566 + 0.634934i \(0.781027\pi\)
\(954\) −24.2616 + 19.0271i −0.785499 + 0.616024i
\(955\) −10.4325 2.92475i −0.337589 0.0946426i
\(956\) 58.9849 + 3.23905i 1.90771 + 0.104758i
\(957\) −4.66433 + 37.1219i −0.150776 + 1.19998i
\(958\) 15.9711 44.9227i 0.516004 1.45139i
\(959\) −0.0265990 + 0.0818634i −0.000858928 + 0.00264351i
\(960\) −26.2034 16.5343i −0.845711 0.533641i
\(961\) −22.7154 69.9107i −0.732754 2.25518i
\(962\) 39.4884 + 1.08340i 1.27316 + 0.0349303i
\(963\) −3.19549 + 5.05023i −0.102973 + 0.162741i
\(964\) 10.7112 + 8.71819i 0.344986 + 0.280794i
\(965\) 1.76460 + 43.1966i 0.0568043 + 1.39055i
\(966\) −1.50509 + 9.79786i −0.0484256 + 0.315241i
\(967\) 9.09172 12.5137i 0.292370 0.402413i −0.637412 0.770523i \(-0.719995\pi\)
0.929782 + 0.368110i \(0.119995\pi\)
\(968\) 8.68935 + 7.47790i 0.279286 + 0.240349i
\(969\) 1.79433 + 1.68273i 0.0576421 + 0.0540569i
\(970\) 20.3608 + 6.31531i 0.653746 + 0.202772i
\(971\) 7.80593 5.67134i 0.250504 0.182002i −0.455446 0.890263i \(-0.650520\pi\)
0.705950 + 0.708261i \(0.250520\pi\)
\(972\) −26.1327 + 17.0024i −0.838207 + 0.545352i
\(973\) 3.76326 + 11.5821i 0.120645 + 0.371306i
\(974\) −4.74876 + 1.40020i −0.152160 + 0.0448652i
\(975\) −13.1821 47.4789i −0.422166 1.52054i
\(976\) 8.00230 17.7345i 0.256147 0.567666i
\(977\) −25.7563 + 8.36873i −0.824018 + 0.267740i −0.690523 0.723310i \(-0.742620\pi\)
−0.133494 + 0.991050i \(0.542620\pi\)
\(978\) −14.5692 + 14.7055i −0.465871 + 0.470230i
\(979\) 28.7470 + 39.5669i 0.918759 + 1.26456i
\(980\) 23.2398 + 7.91324i 0.742368 + 0.252779i
\(981\) −7.27300 8.76760i −0.232209 0.279928i
\(982\) 3.39819 + 11.5250i 0.108441 + 0.367776i
\(983\) −26.0248 18.9081i −0.830063 0.603076i 0.0895142 0.995986i \(-0.471469\pi\)
−0.919577 + 0.392910i \(0.871469\pi\)
\(984\) −4.61318 10.3015i −0.147063 0.328399i
\(985\) −33.0060 + 26.1033i −1.05166 + 0.831720i
\(986\) −8.02174 + 5.49845i −0.255464 + 0.175106i
\(987\) 17.7769 + 8.35062i 0.565844 + 0.265803i
\(988\) −12.6470 + 3.35491i −0.402355 + 0.106734i
\(989\) −27.7297 + 9.00992i −0.881752 + 0.286499i
\(990\) −14.0526 34.0192i −0.446620 1.08120i
\(991\) −27.7345 9.01148i −0.881015 0.286259i −0.166636 0.986018i \(-0.553291\pi\)
−0.714379 + 0.699759i \(0.753291\pi\)
\(992\) 40.0685 41.6987i 1.27218 1.32394i
\(993\) 3.84342 30.5886i 0.121967 0.970699i
\(994\) 3.90007 + 1.38657i 0.123703 + 0.0439794i
\(995\) 6.70049 0.273717i 0.212420 0.00867742i
\(996\) 12.1023 22.4719i 0.383475 0.712049i
\(997\) −3.83590 + 2.78694i −0.121484 + 0.0882634i −0.646868 0.762602i \(-0.723922\pi\)
0.525384 + 0.850865i \(0.323922\pi\)
\(998\) −26.0081 37.9435i −0.823272 1.20108i
\(999\) −23.7371 9.34306i −0.751009 0.295601i
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 300.2.n.a.131.47 yes 224
3.2 odd 2 inner 300.2.n.a.131.10 yes 224
4.3 odd 2 inner 300.2.n.a.131.56 yes 224
12.11 even 2 inner 300.2.n.a.131.1 yes 224
25.21 even 5 inner 300.2.n.a.71.1 224
75.71 odd 10 inner 300.2.n.a.71.56 yes 224
100.71 odd 10 inner 300.2.n.a.71.10 yes 224
300.71 even 10 inner 300.2.n.a.71.47 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.n.a.71.1 224 25.21 even 5 inner
300.2.n.a.71.10 yes 224 100.71 odd 10 inner
300.2.n.a.71.47 yes 224 300.71 even 10 inner
300.2.n.a.71.56 yes 224 75.71 odd 10 inner
300.2.n.a.131.1 yes 224 12.11 even 2 inner
300.2.n.a.131.10 yes 224 3.2 odd 2 inner
300.2.n.a.131.47 yes 224 1.1 even 1 trivial
300.2.n.a.131.56 yes 224 4.3 odd 2 inner