Properties

Label 441.2.bh.a.20.1
Level $441$
Weight $2$
Character 441.20
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(20,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([7, 39]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.20");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bh (of order \(42\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 20.1
Character \(\chi\) \(=\) 441.20
Dual form 441.2.bh.a.419.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.54230 - 2.26214i) q^{2} +(-1.06685 - 1.36449i) q^{3} +(-2.00790 + 5.11604i) q^{4} +(2.32352 - 2.15591i) q^{5} +(-1.44125 + 4.51782i) q^{6} +(2.26676 - 1.36447i) q^{7} +(9.33151 - 2.12986i) q^{8} +(-0.723646 + 2.91141i) q^{9} +O(q^{10})\) \(q+(-1.54230 - 2.26214i) q^{2} +(-1.06685 - 1.36449i) q^{3} +(-2.00790 + 5.11604i) q^{4} +(2.32352 - 2.15591i) q^{5} +(-1.44125 + 4.51782i) q^{6} +(2.26676 - 1.36447i) q^{7} +(9.33151 - 2.12986i) q^{8} +(-0.723646 + 2.91141i) q^{9} +(-8.46053 - 1.93106i) q^{10} +(-2.11931 - 3.10845i) q^{11} +(9.12290 - 2.71832i) q^{12} +(-4.09624 + 0.306971i) q^{13} +(-6.58265 - 3.02330i) q^{14} +(-5.42056 - 0.870368i) q^{15} +(-11.1524 - 10.3479i) q^{16} +(1.66722 - 2.09062i) q^{17} +(7.70210 - 2.85329i) q^{18} -3.18744i q^{19} +(6.36434 + 16.2161i) q^{20} +(-4.28011 - 1.63727i) q^{21} +(-3.76314 + 9.58834i) q^{22} +(-0.232955 - 0.0914282i) q^{23} +(-12.8615 - 10.4605i) q^{24} +(0.377139 - 5.03257i) q^{25} +(7.01204 + 8.79282i) q^{26} +(4.74461 - 2.11865i) q^{27} +(2.42928 + 14.3366i) q^{28} +(-5.07188 + 1.99057i) q^{29} +(6.39124 + 13.6044i) q^{30} +(-1.12367 + 0.648750i) q^{31} +(-3.35494 + 22.2586i) q^{32} +(-1.98045 + 6.20803i) q^{33} +(-7.30063 - 0.547107i) q^{34} +(2.32518 - 8.05731i) q^{35} +(-13.4419 - 9.54803i) q^{36} +(-0.661343 + 0.829298i) q^{37} +(-7.21043 + 4.91599i) q^{38} +(4.78894 + 5.26177i) q^{39} +(17.0902 - 25.0667i) q^{40} +(4.00020 - 3.71164i) q^{41} +(2.89748 + 12.2074i) q^{42} +(6.02565 + 5.59099i) q^{43} +(20.1583 - 4.60101i) q^{44} +(4.59534 + 8.32484i) q^{45} +(0.152464 + 0.667987i) q^{46} +(3.97416 - 2.70954i) q^{47} +(-2.22160 + 26.2570i) q^{48} +(3.27642 - 6.18588i) q^{49} +(-11.9660 + 6.90859i) q^{50} +(-4.63131 - 0.0445048i) q^{51} +(6.65436 - 21.5729i) q^{52} +(-9.63756 + 7.68570i) q^{53} +(-12.1103 - 7.46537i) q^{54} +(-11.6258 - 2.65351i) q^{55} +(18.2462 - 17.5605i) q^{56} +(-4.34922 + 3.40053i) q^{57} +(12.3253 + 8.40324i) q^{58} +(2.10667 - 0.649823i) q^{59} +(15.3368 - 25.9842i) q^{60} +(-6.61668 + 2.59686i) q^{61} +(3.20059 + 1.54133i) q^{62} +(2.33222 + 7.58688i) q^{63} +(28.1124 - 13.5382i) q^{64} +(-8.85588 + 9.54437i) q^{65} +(17.0979 - 5.09459i) q^{66} +(-5.13635 - 8.89641i) q^{67} +(7.34812 + 12.7273i) q^{68} +(0.123777 + 0.415405i) q^{69} +(-21.8129 + 7.16691i) q^{70} +(8.30887 - 6.62610i) q^{71} +(-0.551816 + 28.7092i) q^{72} +(4.44699 + 9.23428i) q^{73} +(2.89598 + 0.217023i) q^{74} +(-7.26923 + 4.85442i) q^{75} +(16.3071 + 6.40006i) q^{76} +(-9.04537 - 4.15439i) q^{77} +(4.51686 - 18.9485i) q^{78} +(-4.55087 + 7.88234i) q^{79} -48.2219 q^{80} +(-7.95267 - 4.21367i) q^{81} +(-14.5657 - 3.32454i) q^{82} +(0.279923 - 3.73531i) q^{83} +(16.9704 - 18.6097i) q^{84} +(-0.633388 - 8.45198i) q^{85} +(3.35422 - 22.2538i) q^{86} +(8.12705 + 4.79687i) q^{87} +(-26.3969 - 24.4928i) q^{88} +(-6.96227 + 3.35285i) q^{89} +(11.7445 - 23.2347i) q^{90} +(-8.86635 + 6.28504i) q^{91} +(0.935501 - 1.00823i) q^{92} +(2.08400 + 0.841108i) q^{93} +(-12.2587 - 4.81118i) q^{94} +(-6.87184 - 7.40608i) q^{95} +(33.9508 - 19.1689i) q^{96} +(6.69400 + 3.86478i) q^{97} +(-19.0465 + 2.12875i) q^{98} +(10.5836 - 3.92076i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} - 28 q^{10} - 15 q^{11} + 21 q^{12} - 7 q^{13} - 114 q^{14} - 10 q^{15} + 39 q^{16} - 18 q^{18} - 21 q^{20} + 10 q^{21} + 3 q^{22} + 30 q^{23} - 14 q^{24} + 41 q^{25} + 7 q^{27} - 20 q^{28} + 75 q^{29} - 70 q^{30} - 39 q^{32} - 14 q^{33} - 7 q^{34} - 128 q^{36} - 10 q^{37} + 21 q^{38} - 36 q^{39} - 7 q^{40} - 21 q^{41} + 104 q^{42} + 3 q^{43} - 35 q^{45} - 72 q^{46} - 147 q^{47} - 13 q^{49} - 18 q^{50} + 22 q^{51} - 35 q^{52} - 14 q^{54} - 112 q^{55} - 63 q^{56} - 16 q^{57} + 33 q^{58} - 21 q^{59} - 90 q^{60} - 56 q^{61} - 38 q^{63} + 52 q^{64} + 27 q^{65} - 42 q^{66} - 26 q^{67} - 182 q^{69} - 25 q^{70} + 24 q^{72} - 28 q^{73} + 33 q^{74} - 14 q^{75} + 21 q^{76} + 3 q^{77} + 90 q^{78} - 2 q^{79} + 56 q^{81} - 28 q^{82} - 21 q^{83} + 116 q^{84} + 5 q^{85} - 123 q^{86} - 70 q^{87} - 41 q^{88} - 224 q^{90} - 4 q^{91} - 225 q^{92} + 112 q^{93} - 7 q^{94} - 12 q^{95} - 371 q^{96} + 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{14}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.54230 2.26214i −1.09057 1.59957i −0.752678 0.658388i \(-0.771238\pi\)
−0.337892 0.941185i \(-0.609714\pi\)
\(3\) −1.06685 1.36449i −0.615948 0.787787i
\(4\) −2.00790 + 5.11604i −1.00395 + 2.55802i
\(5\) 2.32352 2.15591i 1.03911 0.964152i 0.0397235 0.999211i \(-0.487352\pi\)
0.999385 + 0.0350586i \(0.0111618\pi\)
\(6\) −1.44125 + 4.51782i −0.588387 + 1.84439i
\(7\) 2.26676 1.36447i 0.856756 0.515723i
\(8\) 9.33151 2.12986i 3.29919 0.753018i
\(9\) −0.723646 + 2.91141i −0.241215 + 0.970472i
\(10\) −8.46053 1.93106i −2.67545 0.610655i
\(11\) −2.11931 3.10845i −0.638995 0.937234i −0.999989 0.00466597i \(-0.998515\pi\)
0.360994 0.932568i \(-0.382438\pi\)
\(12\) 9.12290 2.71832i 2.63356 0.784711i
\(13\) −4.09624 + 0.306971i −1.13609 + 0.0851383i −0.629466 0.777028i \(-0.716726\pi\)
−0.506626 + 0.862166i \(0.669107\pi\)
\(14\) −6.58265 3.02330i −1.75929 0.808011i
\(15\) −5.42056 0.870368i −1.39958 0.224728i
\(16\) −11.1524 10.3479i −2.78809 2.58697i
\(17\) 1.66722 2.09062i 0.404360 0.507051i −0.537405 0.843324i \(-0.680595\pi\)
0.941764 + 0.336273i \(0.109167\pi\)
\(18\) 7.70210 2.85329i 1.81540 0.672526i
\(19\) 3.18744i 0.731249i −0.930762 0.365625i \(-0.880855\pi\)
0.930762 0.365625i \(-0.119145\pi\)
\(20\) 6.36434 + 16.2161i 1.42311 + 3.62602i
\(21\) −4.28011 1.63727i −0.933997 0.357282i
\(22\) −3.76314 + 9.58834i −0.802305 + 2.04424i
\(23\) −0.232955 0.0914282i −0.0485745 0.0190641i 0.340929 0.940089i \(-0.389258\pi\)
−0.389504 + 0.921025i \(0.627354\pi\)
\(24\) −12.8615 10.4605i −2.62535 2.13524i
\(25\) 0.377139 5.03257i 0.0754278 1.00651i
\(26\) 7.01204 + 8.79282i 1.37517 + 1.72441i
\(27\) 4.74461 2.11865i 0.913101 0.407734i
\(28\) 2.42928 + 14.3366i 0.459090 + 2.70936i
\(29\) −5.07188 + 1.99057i −0.941824 + 0.369639i −0.786056 0.618155i \(-0.787880\pi\)
−0.155768 + 0.987794i \(0.549785\pi\)
\(30\) 6.39124 + 13.6044i 1.16688 + 2.48382i
\(31\) −1.12367 + 0.648750i −0.201817 + 0.116519i −0.597503 0.801867i \(-0.703840\pi\)
0.395686 + 0.918386i \(0.370507\pi\)
\(32\) −3.35494 + 22.2586i −0.593076 + 3.93480i
\(33\) −1.98045 + 6.20803i −0.344752 + 1.08068i
\(34\) −7.30063 0.547107i −1.25205 0.0938280i
\(35\) 2.32518 8.05731i 0.393027 1.36193i
\(36\) −13.4419 9.54803i −2.24032 1.59134i
\(37\) −0.661343 + 0.829298i −0.108724 + 0.136336i −0.833216 0.552947i \(-0.813503\pi\)
0.724492 + 0.689283i \(0.242074\pi\)
\(38\) −7.21043 + 4.91599i −1.16969 + 0.797479i
\(39\) 4.78894 + 5.26177i 0.766845 + 0.842557i
\(40\) 17.0902 25.0667i 2.70219 3.96339i
\(41\) 4.00020 3.71164i 0.624726 0.579661i −0.302969 0.953000i \(-0.597978\pi\)
0.927695 + 0.373340i \(0.121787\pi\)
\(42\) 2.89748 + 12.2074i 0.447090 + 1.88364i
\(43\) 6.02565 + 5.59099i 0.918903 + 0.852617i 0.989448 0.144891i \(-0.0462832\pi\)
−0.0705446 + 0.997509i \(0.522474\pi\)
\(44\) 20.1583 4.60101i 3.03898 0.693628i
\(45\) 4.59534 + 8.32484i 0.685033 + 1.24099i
\(46\) 0.152464 + 0.667987i 0.0224795 + 0.0984893i
\(47\) 3.97416 2.70954i 0.579691 0.395227i −0.237676 0.971345i \(-0.576385\pi\)
0.817367 + 0.576118i \(0.195433\pi\)
\(48\) −2.22160 + 26.2570i −0.320661 + 3.78987i
\(49\) 3.27642 6.18588i 0.468060 0.883696i
\(50\) −11.9660 + 6.90859i −1.69225 + 0.977022i
\(51\) −4.63131 0.0445048i −0.648513 0.00623192i
\(52\) 6.65436 21.5729i 0.922793 2.99162i
\(53\) −9.63756 + 7.68570i −1.32382 + 1.05571i −0.330085 + 0.943951i \(0.607077\pi\)
−0.993735 + 0.111760i \(0.964351\pi\)
\(54\) −12.1103 7.46537i −1.64800 1.01591i
\(55\) −11.6258 2.65351i −1.56762 0.357800i
\(56\) 18.2462 17.5605i 2.43825 2.34662i
\(57\) −4.34922 + 3.40053i −0.576068 + 0.450412i
\(58\) 12.3253 + 8.40324i 1.61839 + 1.10340i
\(59\) 2.10667 0.649823i 0.274266 0.0845997i −0.154571 0.987982i \(-0.549400\pi\)
0.428837 + 0.903382i \(0.358923\pi\)
\(60\) 15.3368 25.9842i 1.97997 3.35455i
\(61\) −6.61668 + 2.59686i −0.847179 + 0.332493i −0.748914 0.662667i \(-0.769424\pi\)
−0.0982649 + 0.995160i \(0.531329\pi\)
\(62\) 3.20059 + 1.54133i 0.406476 + 0.195748i
\(63\) 2.33222 + 7.58688i 0.293832 + 0.955857i
\(64\) 28.1124 13.5382i 3.51404 1.69227i
\(65\) −8.85588 + 9.54437i −1.09844 + 1.18383i
\(66\) 17.0979 5.09459i 2.10460 0.627101i
\(67\) −5.13635 8.89641i −0.627504 1.08687i −0.988051 0.154128i \(-0.950743\pi\)
0.360546 0.932741i \(-0.382590\pi\)
\(68\) 7.34812 + 12.7273i 0.891091 + 1.54341i
\(69\) 0.123777 + 0.415405i 0.0149010 + 0.0500089i
\(70\) −21.8129 + 7.16691i −2.60714 + 0.856610i
\(71\) 8.30887 6.62610i 0.986081 0.786373i 0.00915638 0.999958i \(-0.497085\pi\)
0.976925 + 0.213585i \(0.0685140\pi\)
\(72\) −0.551816 + 28.7092i −0.0650321 + 3.38341i
\(73\) 4.44699 + 9.23428i 0.520481 + 1.08079i 0.981155 + 0.193221i \(0.0618935\pi\)
−0.460674 + 0.887569i \(0.652392\pi\)
\(74\) 2.89598 + 0.217023i 0.336650 + 0.0252285i
\(75\) −7.26923 + 4.85442i −0.839378 + 0.560540i
\(76\) 16.3071 + 6.40006i 1.87055 + 0.734137i
\(77\) −9.04537 4.15439i −1.03082 0.473436i
\(78\) 4.51686 18.9485i 0.511434 2.14549i
\(79\) −4.55087 + 7.88234i −0.512013 + 0.886832i 0.487890 + 0.872905i \(0.337767\pi\)
−0.999903 + 0.0139271i \(0.995567\pi\)
\(80\) −48.2219 −5.39137
\(81\) −7.95267 4.21367i −0.883630 0.468185i
\(82\) −14.5657 3.32454i −1.60852 0.367134i
\(83\) 0.279923 3.73531i 0.0307255 0.410004i −0.960542 0.278136i \(-0.910283\pi\)
0.991267 0.131868i \(-0.0420975\pi\)
\(84\) 16.9704 18.6097i 1.85162 2.03049i
\(85\) −0.633388 8.45198i −0.0687006 0.916745i
\(86\) 3.35422 22.2538i 0.361695 2.39969i
\(87\) 8.12705 + 4.79687i 0.871311 + 0.514278i
\(88\) −26.3969 24.4928i −2.81392 2.61094i
\(89\) −6.96227 + 3.35285i −0.737999 + 0.355402i −0.764825 0.644238i \(-0.777174\pi\)
0.0268254 + 0.999640i \(0.491460\pi\)
\(90\) 11.7445 23.2347i 1.23798 2.44915i
\(91\) −8.86635 + 6.28504i −0.929446 + 0.658851i
\(92\) 0.935501 1.00823i 0.0975328 0.105115i
\(93\) 2.08400 + 0.841108i 0.216101 + 0.0872189i
\(94\) −12.2587 4.81118i −1.26439 0.496236i
\(95\) −6.87184 7.40608i −0.705035 0.759848i
\(96\) 33.9508 19.1689i 3.46509 1.95642i
\(97\) 6.69400 + 3.86478i 0.679672 + 0.392409i 0.799732 0.600358i \(-0.204975\pi\)
−0.120059 + 0.992767i \(0.538308\pi\)
\(98\) −19.0465 + 2.12875i −1.92399 + 0.215036i
\(99\) 10.5836 3.92076i 1.06369 0.394052i
\(100\) 24.9896 + 12.0343i 2.49896 + 1.20343i
\(101\) −8.64739 2.66737i −0.860447 0.265413i −0.167032 0.985951i \(-0.553418\pi\)
−0.693415 + 0.720539i \(0.743895\pi\)
\(102\) 7.04219 + 10.5453i 0.697280 + 1.04414i
\(103\) 3.09527 + 3.33591i 0.304986 + 0.328697i 0.866884 0.498509i \(-0.166119\pi\)
−0.561898 + 0.827207i \(0.689929\pi\)
\(104\) −37.5703 + 11.5889i −3.68407 + 1.13639i
\(105\) −13.4747 + 5.42330i −1.31500 + 0.529260i
\(106\) 32.2501 + 9.94784i 3.13241 + 0.966220i
\(107\) −1.10874 2.30231i −0.107185 0.222573i 0.840477 0.541848i \(-0.182275\pi\)
−0.947662 + 0.319275i \(0.896561\pi\)
\(108\) 1.31240 + 28.5277i 0.126286 + 2.74508i
\(109\) 4.10020 + 1.97455i 0.392728 + 0.189128i 0.619817 0.784746i \(-0.287207\pi\)
−0.227089 + 0.973874i \(0.572921\pi\)
\(110\) 11.9279 + 30.3917i 1.13728 + 2.89773i
\(111\) 1.83712 + 0.0176539i 0.174372 + 0.00167564i
\(112\) −39.3992 8.23909i −3.72288 0.778521i
\(113\) 9.66280 14.1727i 0.908999 1.33326i −0.0336362 0.999434i \(-0.510709\pi\)
0.942636 0.333823i \(-0.108339\pi\)
\(114\) 14.4003 + 4.59390i 1.34871 + 0.430258i
\(115\) −0.738387 + 0.289795i −0.0688549 + 0.0270236i
\(116\) 29.9448i 2.78030i
\(117\) 2.07051 12.1480i 0.191419 1.12308i
\(118\) −4.71911 3.76337i −0.434429 0.346446i
\(119\) 0.926584 7.01382i 0.0849398 0.642956i
\(120\) −52.4358 + 3.42317i −4.78671 + 0.312491i
\(121\) −1.15227 + 2.93594i −0.104752 + 0.266903i
\(122\) 16.0793 + 10.9627i 1.45576 + 0.992518i
\(123\) −9.33211 1.49844i −0.841448 0.135110i
\(124\) −1.06282 7.05136i −0.0954441 0.633230i
\(125\) −0.0922539 0.115683i −0.00825144 0.0103470i
\(126\) 13.5656 16.9770i 1.20852 1.51243i
\(127\) 1.57589 1.97610i 0.139838 0.175351i −0.706981 0.707232i \(-0.749943\pi\)
0.846819 + 0.531882i \(0.178515\pi\)
\(128\) −34.9944 20.2041i −3.09310 1.78580i
\(129\) 1.20034 14.1867i 0.105684 1.24907i
\(130\) 35.2491 + 5.31295i 3.09155 + 0.465976i
\(131\) 12.8507 3.96391i 1.12277 0.346328i 0.322858 0.946447i \(-0.395356\pi\)
0.799911 + 0.600119i \(0.204880\pi\)
\(132\) −27.7840 22.5972i −2.41829 1.96683i
\(133\) −4.34918 7.22517i −0.377122 0.626502i
\(134\) −12.2031 + 25.3401i −1.05419 + 2.18905i
\(135\) 6.45657 15.1517i 0.555693 1.30405i
\(136\) 11.1049 23.0596i 0.952240 1.97735i
\(137\) 8.02735 8.65142i 0.685822 0.739141i −0.290163 0.956977i \(-0.593709\pi\)
0.975985 + 0.217837i \(0.0699000\pi\)
\(138\) 0.748803 0.920679i 0.0637423 0.0783734i
\(139\) −2.07153 2.23257i −0.175704 0.189364i 0.639059 0.769158i \(-0.279324\pi\)
−0.814764 + 0.579793i \(0.803133\pi\)
\(140\) 36.5528 + 28.0740i 3.08928 + 2.37269i
\(141\) −7.93698 2.53201i −0.668414 0.213234i
\(142\) −27.8039 8.57637i −2.33325 0.719713i
\(143\) 9.63540 + 12.0824i 0.805752 + 1.01038i
\(144\) 38.1974 24.9810i 3.18312 2.08175i
\(145\) −7.49312 + 15.5596i −0.622270 + 1.29216i
\(146\) 14.0306 24.3017i 1.16118 2.01123i
\(147\) −11.9360 + 2.12879i −0.984465 + 0.175580i
\(148\) −2.91481 5.04861i −0.239596 0.414993i
\(149\) 0.505616 0.0378907i 0.0414217 0.00310412i −0.0540031 0.998541i \(-0.517198\pi\)
0.0954248 + 0.995437i \(0.469579\pi\)
\(150\) 22.1927 + 8.95703i 1.81202 + 0.731338i
\(151\) −3.14541 + 0.474095i −0.255970 + 0.0385813i −0.275774 0.961223i \(-0.588934\pi\)
0.0198035 + 0.999804i \(0.493696\pi\)
\(152\) −6.78880 29.7437i −0.550644 2.41253i
\(153\) 4.88020 + 6.36684i 0.394541 + 0.514728i
\(154\) 4.55288 + 26.8692i 0.366881 + 2.16518i
\(155\) −1.21222 + 3.92991i −0.0973676 + 0.315658i
\(156\) −36.5351 + 13.9353i −2.92515 + 1.11572i
\(157\) −2.34742 7.61015i −0.187344 0.607356i −0.999707 0.0242032i \(-0.992295\pi\)
0.812363 0.583153i \(-0.198181\pi\)
\(158\) 24.8497 1.86223i 1.97694 0.148151i
\(159\) 20.7689 + 4.95080i 1.64708 + 0.392624i
\(160\) 40.1923 + 58.9512i 3.17748 + 4.66050i
\(161\) −0.652806 + 0.110615i −0.0514483 + 0.00871771i
\(162\) 2.73351 + 24.4888i 0.214765 + 1.92402i
\(163\) −0.945061 + 4.14058i −0.0740229 + 0.324315i −0.998359 0.0572636i \(-0.981762\pi\)
0.924336 + 0.381579i \(0.124620\pi\)
\(164\) 10.9569 + 27.9178i 0.855592 + 2.18001i
\(165\) 8.78234 + 18.6942i 0.683705 + 1.45534i
\(166\) −8.88151 + 5.12774i −0.689339 + 0.397990i
\(167\) 21.0215 + 3.16848i 1.62669 + 0.245184i 0.898108 0.439774i \(-0.144942\pi\)
0.728582 + 0.684959i \(0.240180\pi\)
\(168\) −43.4271 6.16221i −3.35047 0.475425i
\(169\) 3.83014 0.577301i 0.294626 0.0444077i
\(170\) −18.1427 + 14.4683i −1.39148 + 1.10967i
\(171\) 9.27996 + 2.30658i 0.709657 + 0.176389i
\(172\) −40.7026 + 19.6013i −3.10355 + 1.49459i
\(173\) 4.19150 0.631767i 0.318674 0.0480323i 0.0122423 0.999925i \(-0.496103\pi\)
0.306431 + 0.951893i \(0.400865\pi\)
\(174\) −1.68318 25.7827i −0.127601 1.95458i
\(175\) −6.01192 11.9222i −0.454459 0.901236i
\(176\) −8.53063 + 56.5970i −0.643021 + 4.26616i
\(177\) −3.13419 2.18126i −0.235580 0.163954i
\(178\) 18.3225 + 10.5785i 1.37333 + 0.792893i
\(179\) −16.0736 12.8182i −1.20140 0.958081i −0.201624 0.979463i \(-0.564622\pi\)
−0.999771 + 0.0213820i \(0.993193\pi\)
\(180\) −51.8172 + 6.79453i −3.86223 + 0.506434i
\(181\) −0.703971 1.46181i −0.0523258 0.108656i 0.873167 0.487422i \(-0.162063\pi\)
−0.925492 + 0.378766i \(0.876348\pi\)
\(182\) 27.8922 + 10.3635i 2.06751 + 0.768193i
\(183\) 10.6024 + 6.25790i 0.783752 + 0.462598i
\(184\) −2.36856 0.357002i −0.174612 0.0263186i
\(185\) 0.251249 + 3.35269i 0.0184722 + 0.246494i
\(186\) −1.31145 6.01154i −0.0961601 0.440787i
\(187\) −10.0320 0.751792i −0.733610 0.0549764i
\(188\) 5.88239 + 25.7725i 0.429018 + 1.87965i
\(189\) 7.86406 11.2764i 0.572026 0.820235i
\(190\) −6.15514 + 26.9674i −0.446541 + 1.95642i
\(191\) 4.21387 13.6610i 0.304905 0.988478i −0.665378 0.746506i \(-0.731730\pi\)
0.970283 0.241972i \(-0.0777941\pi\)
\(192\) −48.4645 23.9157i −3.49762 1.72596i
\(193\) −2.70177 + 2.50688i −0.194478 + 0.180449i −0.771401 0.636349i \(-0.780444\pi\)
0.576923 + 0.816798i \(0.304253\pi\)
\(194\) −1.58148 21.1034i −0.113544 1.51514i
\(195\) 22.4711 + 1.90128i 1.60919 + 0.136154i
\(196\) 25.0685 + 29.1829i 1.79061 + 2.08449i
\(197\) 18.0105i 1.28319i −0.767042 0.641597i \(-0.778272\pi\)
0.767042 0.641597i \(-0.221728\pi\)
\(198\) −25.1924 17.8946i −1.79035 1.27172i
\(199\) 26.4801 6.04392i 1.87713 0.428442i 0.878357 0.478006i \(-0.158640\pi\)
0.998771 + 0.0495638i \(0.0157831\pi\)
\(200\) −7.19938 47.7647i −0.509073 3.37748i
\(201\) −6.65930 + 16.4996i −0.469711 + 1.16380i
\(202\) 7.30291 + 23.6755i 0.513831 + 1.66580i
\(203\) −8.78067 + 11.4326i −0.616282 + 0.802410i
\(204\) 9.52688 23.6046i 0.667015 1.65265i
\(205\) 1.29257 17.2481i 0.0902769 1.20466i
\(206\) 2.77245 12.1469i 0.193166 0.846315i
\(207\) 0.434763 0.612068i 0.0302181 0.0425417i
\(208\) 48.8593 + 38.9640i 3.38778 + 2.70167i
\(209\) −9.90802 + 6.75517i −0.685352 + 0.467265i
\(210\) 33.0503 + 22.1173i 2.28069 + 1.52624i
\(211\) 12.7950 + 8.72349i 0.880845 + 0.600550i 0.917040 0.398795i \(-0.130571\pi\)
−0.0361950 + 0.999345i \(0.511524\pi\)
\(212\) −19.9691 64.7382i −1.37148 4.44624i
\(213\) −17.9056 4.26825i −1.22687 0.292456i
\(214\) −3.49815 + 6.05897i −0.239128 + 0.414183i
\(215\) 26.0544 1.77689
\(216\) 39.7620 29.8755i 2.70546 2.03277i
\(217\) −1.66189 + 3.00378i −0.112816 + 0.203910i
\(218\) −1.85703 12.3206i −0.125774 0.834455i
\(219\) 7.85576 15.9195i 0.530843 1.07574i
\(220\) 36.9189 54.1501i 2.48907 3.65080i
\(221\) −6.18756 + 9.07549i −0.416220 + 0.610483i
\(222\) −2.79346 4.18305i −0.187485 0.280748i
\(223\) −2.91579 19.3450i −0.195256 1.29544i −0.844787 0.535103i \(-0.820273\pi\)
0.649531 0.760335i \(-0.274965\pi\)
\(224\) 22.7664 + 55.0327i 1.52115 + 3.67703i
\(225\) 14.3790 + 4.73981i 0.958599 + 0.315987i
\(226\) −46.9636 −3.12397
\(227\) −9.22901 + 15.9851i −0.612551 + 1.06097i 0.378258 + 0.925700i \(0.376523\pi\)
−0.990809 + 0.135269i \(0.956810\pi\)
\(228\) −8.66448 29.0787i −0.573819 1.92579i
\(229\) 5.00256 + 16.2179i 0.330579 + 1.07171i 0.956478 + 0.291805i \(0.0942560\pi\)
−0.625899 + 0.779904i \(0.715268\pi\)
\(230\) 1.79437 + 1.22338i 0.118317 + 0.0806674i
\(231\) 3.98149 + 16.7744i 0.261963 + 1.10368i
\(232\) −43.0887 + 29.3774i −2.82891 + 1.92872i
\(233\) 0.342293 + 0.272970i 0.0224244 + 0.0178828i 0.634638 0.772810i \(-0.281149\pi\)
−0.612213 + 0.790693i \(0.709721\pi\)
\(234\) −30.6738 + 14.0521i −2.00521 + 0.918612i
\(235\) 3.39252 14.8636i 0.221303 0.969594i
\(236\) −0.905466 + 12.0826i −0.0589408 + 0.786511i
\(237\) 15.6105 2.19970i 1.01401 0.142886i
\(238\) −17.2953 + 8.72136i −1.12109 + 0.565322i
\(239\) −6.32322 20.4994i −0.409015 1.32599i −0.892660 0.450730i \(-0.851164\pi\)
0.483645 0.875264i \(-0.339312\pi\)
\(240\) 51.4457 + 65.7981i 3.32081 + 4.24725i
\(241\) −1.50503 9.98525i −0.0969478 0.643207i −0.983545 0.180664i \(-0.942175\pi\)
0.886597 0.462543i \(-0.153063\pi\)
\(242\) 8.41864 1.92150i 0.541170 0.123519i
\(243\) 2.73485 + 15.3467i 0.175441 + 0.984490i
\(244\) 39.0654i 2.50091i
\(245\) −5.72336 21.4367i −0.365652 1.36954i
\(246\) 11.0032 + 23.4216i 0.701541 + 1.49330i
\(247\) 0.978451 + 13.0565i 0.0622573 + 0.830767i
\(248\) −9.10378 + 8.44707i −0.578090 + 0.536390i
\(249\) −5.39542 + 3.60308i −0.341921 + 0.228336i
\(250\) −0.119407 + 0.387109i −0.00755198 + 0.0244829i
\(251\) 1.55797 6.82593i 0.0983385 0.430849i −0.901660 0.432445i \(-0.857651\pi\)
0.999999 + 0.00159608i \(0.000508048\pi\)
\(252\) −43.4977 3.30198i −2.74009 0.208005i
\(253\) 0.209504 + 0.917896i 0.0131714 + 0.0577076i
\(254\) −6.90071 0.517137i −0.432989 0.0324481i
\(255\) −10.8569 + 9.88127i −0.679884 + 0.618789i
\(256\) 3.60405 + 48.0928i 0.225253 + 3.00580i
\(257\) −16.4643 2.48160i −1.02702 0.154798i −0.386139 0.922441i \(-0.626191\pi\)
−0.640878 + 0.767643i \(0.721430\pi\)
\(258\) −33.9435 + 19.1648i −2.11323 + 1.19315i
\(259\) −0.367552 + 2.78221i −0.0228386 + 0.172878i
\(260\) −31.0477 64.4712i −1.92550 3.99833i
\(261\) −2.12512 16.2068i −0.131541 1.00318i
\(262\) −28.7865 22.9565i −1.77844 1.41826i
\(263\) −0.781552 0.451229i −0.0481926 0.0278240i 0.475710 0.879602i \(-0.342191\pi\)
−0.523903 + 0.851778i \(0.675524\pi\)
\(264\) −5.25839 + 62.1484i −0.323631 + 3.82497i
\(265\) −5.82337 + 38.6356i −0.357727 + 2.37336i
\(266\) −9.63660 + 20.9818i −0.590858 + 1.28648i
\(267\) 12.0026 + 5.92292i 0.734550 + 0.362477i
\(268\) 55.8277 8.41467i 3.41022 0.514008i
\(269\) −18.7024 + 9.00662i −1.14031 + 0.549144i −0.906109 0.423045i \(-0.860961\pi\)
−0.234200 + 0.972189i \(0.575247\pi\)
\(270\) −44.2331 + 8.76276i −2.69194 + 0.533284i
\(271\) −8.86330 + 7.06824i −0.538407 + 0.429365i −0.854567 0.519341i \(-0.826178\pi\)
0.316160 + 0.948706i \(0.397606\pi\)
\(272\) −40.2270 + 6.06325i −2.43912 + 0.367638i
\(273\) 18.0349 + 5.39279i 1.09152 + 0.326387i
\(274\) −31.9513 4.81588i −1.93025 0.290938i
\(275\) −16.4428 + 9.49325i −0.991537 + 0.572464i
\(276\) −2.37376 0.200844i −0.142884 0.0120894i
\(277\) −9.50115 24.2085i −0.570868 1.45455i −0.866466 0.499237i \(-0.833614\pi\)
0.295597 0.955313i \(-0.404481\pi\)
\(278\) −1.85548 + 8.12937i −0.111284 + 0.487567i
\(279\) −1.07564 3.74093i −0.0643970 0.223964i
\(280\) 4.53653 80.1392i 0.271110 4.78924i
\(281\) 6.60958 + 9.69447i 0.394295 + 0.578324i 0.971134 0.238533i \(-0.0766667\pi\)
−0.576840 + 0.816857i \(0.695714\pi\)
\(282\) 6.51344 + 21.8597i 0.387870 + 1.30172i
\(283\) 21.2601 1.59323i 1.26378 0.0947075i 0.574080 0.818799i \(-0.305360\pi\)
0.689704 + 0.724091i \(0.257741\pi\)
\(284\) 17.2160 + 55.8130i 1.02158 + 3.31189i
\(285\) −2.77425 + 17.2777i −0.164332 + 1.02344i
\(286\) 12.4714 40.4313i 0.737449 2.39075i
\(287\) 4.00306 13.8716i 0.236293 0.818813i
\(288\) −62.3762 25.8750i −3.67556 1.52470i
\(289\) 2.19176 + 9.60272i 0.128927 + 0.564866i
\(290\) 46.7547 7.04713i 2.74553 0.413822i
\(291\) −1.86807 13.2570i −0.109508 0.777140i
\(292\) −56.1721 + 4.20952i −3.28722 + 0.246343i
\(293\) 13.0007 + 22.5178i 0.759507 + 1.31550i 0.943102 + 0.332502i \(0.107893\pi\)
−0.183596 + 0.983002i \(0.558774\pi\)
\(294\) 23.2245 + 23.7177i 1.35448 + 1.38324i
\(295\) 3.49393 6.05167i 0.203425 0.352342i
\(296\) −4.40505 + 9.14717i −0.256038 + 0.531669i
\(297\) −16.6410 10.2583i −0.965610 0.595249i
\(298\) −0.865525 1.08533i −0.0501385 0.0628717i
\(299\) 0.982306 + 0.303001i 0.0568082 + 0.0175230i
\(300\) −10.2395 46.9368i −0.591179 2.70990i
\(301\) 21.2875 + 4.45160i 1.22699 + 0.256586i
\(302\) 5.92364 + 6.38417i 0.340867 + 0.367367i
\(303\) 5.58591 + 14.6449i 0.320902 + 0.841329i
\(304\) −32.9833 + 35.5476i −1.89172 + 2.03879i
\(305\) −9.77539 + 20.2988i −0.559737 + 1.16231i
\(306\) 6.87593 20.8593i 0.393071 1.19244i
\(307\) −2.77639 + 5.76523i −0.158457 + 0.329039i −0.965049 0.262069i \(-0.915595\pi\)
0.806592 + 0.591108i \(0.201309\pi\)
\(308\) 39.4162 37.9349i 2.24595 2.16154i
\(309\) 1.24960 7.78239i 0.0710873 0.442725i
\(310\) 10.7596 3.31890i 0.611104 0.188501i
\(311\) −7.42387 1.11897i −0.420969 0.0634509i −0.0648580 0.997895i \(-0.520659\pi\)
−0.356111 + 0.934444i \(0.615898\pi\)
\(312\) 55.8949 + 38.9005i 3.16443 + 2.20231i
\(313\) 23.4475 + 13.5374i 1.32533 + 0.765180i 0.984573 0.174972i \(-0.0559834\pi\)
0.340757 + 0.940151i \(0.389317\pi\)
\(314\) −13.5948 + 17.0473i −0.767198 + 0.962036i
\(315\) 21.7756 + 12.6002i 1.22691 + 0.709941i
\(316\) −31.1887 39.1094i −1.75450 2.20007i
\(317\) 2.09273 + 13.8844i 0.117540 + 0.779824i 0.967480 + 0.252946i \(0.0813994\pi\)
−0.849941 + 0.526878i \(0.823362\pi\)
\(318\) −20.8325 54.6177i −1.16823 3.06281i
\(319\) 16.9365 + 11.5471i 0.948259 + 0.646512i
\(320\) 36.1324 92.0639i 2.01986 5.14653i
\(321\) −1.95862 + 3.96909i −0.109319 + 0.221533i
\(322\) 1.25705 + 1.30613i 0.0700526 + 0.0727880i
\(323\) −6.66375 5.31416i −0.370781 0.295688i
\(324\) 37.5255 32.2256i 2.08475 1.79031i
\(325\) 20.7304i 1.14991i
\(326\) 10.8241 4.24816i 0.599494 0.235284i
\(327\) −1.68006 7.70123i −0.0929078 0.425879i
\(328\) 29.4226 43.1551i 1.62459 2.38284i
\(329\) 5.31139 11.5645i 0.292826 0.637572i
\(330\) 28.7437 48.6989i 1.58229 2.68078i
\(331\) −10.8857 27.7362i −0.598331 1.52452i −0.833473 0.552560i \(-0.813651\pi\)
0.235142 0.971961i \(-0.424444\pi\)
\(332\) 18.5480 + 8.93222i 1.01795 + 0.490219i
\(333\) −1.93585 2.52556i −0.106084 0.138400i
\(334\) −25.2539 52.4402i −1.38183 2.86940i
\(335\) −31.1142 9.59747i −1.69995 0.524366i
\(336\) 30.7911 + 62.5496i 1.67979 + 3.41236i
\(337\) 21.9009 6.75553i 1.19302 0.367997i 0.366237 0.930522i \(-0.380646\pi\)
0.826781 + 0.562524i \(0.190170\pi\)
\(338\) −7.21316 7.77393i −0.392344 0.422846i
\(339\) −29.6473 + 1.93547i −1.61022 + 0.105120i
\(340\) 44.5124 + 13.7303i 2.41403 + 0.744628i
\(341\) 4.39801 + 2.11797i 0.238166 + 0.114694i
\(342\) −9.09469 24.5500i −0.491784 1.32751i
\(343\) −1.01359 18.4925i −0.0547288 0.998501i
\(344\) 68.1364 + 39.3386i 3.67367 + 2.12099i
\(345\) 1.18317 + 0.698349i 0.0636999 + 0.0375979i
\(346\) −7.89369 8.50737i −0.424367 0.457359i
\(347\) 1.57896 + 0.619696i 0.0847630 + 0.0332670i 0.407344 0.913275i \(-0.366455\pi\)
−0.322581 + 0.946542i \(0.604550\pi\)
\(348\) −40.8593 + 31.9467i −2.19029 + 1.71252i
\(349\) −4.46501 + 4.81214i −0.239007 + 0.257588i −0.841152 0.540798i \(-0.818122\pi\)
0.602146 + 0.798386i \(0.294313\pi\)
\(350\) −17.6976 + 31.9875i −0.945974 + 1.70980i
\(351\) −18.7847 + 10.1349i −1.00265 + 0.540963i
\(352\) 76.3000 36.7442i 4.06680 1.95847i
\(353\) −9.53274 8.84509i −0.507377 0.470777i 0.384455 0.923144i \(-0.374389\pi\)
−0.891832 + 0.452367i \(0.850580\pi\)
\(354\) −0.100459 + 10.4541i −0.00533936 + 0.555630i
\(355\) 5.02053 33.3090i 0.266462 1.76786i
\(356\) −3.17380 42.3515i −0.168211 2.24462i
\(357\) −10.5588 + 6.21841i −0.558831 + 0.329113i
\(358\) −4.20638 + 56.1302i −0.222314 + 2.96657i
\(359\) −23.1373 5.28094i −1.22114 0.278717i −0.437092 0.899417i \(-0.643991\pi\)
−0.784048 + 0.620700i \(0.786849\pi\)
\(360\) 60.6122 + 67.8959i 3.19454 + 3.57843i
\(361\) 8.84022 0.465275
\(362\) −2.22108 + 3.84703i −0.116738 + 0.202195i
\(363\) 5.23535 1.55996i 0.274784 0.0818765i
\(364\) −14.3518 57.9803i −0.752239 3.03899i
\(365\) 30.2409 + 11.8687i 1.58288 + 0.621236i
\(366\) −2.19584 33.6357i −0.114778 1.75816i
\(367\) 33.9441 + 2.54376i 1.77187 + 0.132783i 0.920239 0.391358i \(-0.127995\pi\)
0.851631 + 0.524141i \(0.175614\pi\)
\(368\) 1.65192 + 3.43024i 0.0861121 + 0.178814i
\(369\) 7.91140 + 14.3321i 0.411851 + 0.746102i
\(370\) 7.19674 5.73921i 0.374141 0.298367i
\(371\) −11.3591 + 30.5718i −0.589736 + 1.58721i
\(372\) −8.48761 + 8.97297i −0.440062 + 0.465227i
\(373\) −0.275531 0.477234i −0.0142665 0.0247102i 0.858804 0.512304i \(-0.171208\pi\)
−0.873070 + 0.487594i \(0.837875\pi\)
\(374\) 13.7716 + 23.8532i 0.712114 + 1.23342i
\(375\) −0.0594261 + 0.249296i −0.00306875 + 0.0128736i
\(376\) 31.3140 33.7485i 1.61490 1.74045i
\(377\) 20.1646 9.71075i 1.03853 0.500129i
\(378\) −37.6374 0.398058i −1.93586 0.0204739i
\(379\) 20.4994 + 9.87199i 1.05298 + 0.507090i 0.878585 0.477585i \(-0.158488\pi\)
0.174398 + 0.984675i \(0.444202\pi\)
\(380\) 51.6878 20.2859i 2.65153 1.04065i
\(381\) −4.37761 0.0420669i −0.224272 0.00215515i
\(382\) −37.4022 + 11.5371i −1.91366 + 0.590287i
\(383\) −15.8929 10.8356i −0.812088 0.553672i 0.0845589 0.996418i \(-0.473052\pi\)
−0.896647 + 0.442746i \(0.854004\pi\)
\(384\) 9.76580 + 69.3042i 0.498359 + 3.53667i
\(385\) −29.9736 + 9.84821i −1.52759 + 0.501911i
\(386\) 9.83784 + 2.24542i 0.500733 + 0.114289i
\(387\) −20.6381 + 13.4973i −1.04909 + 0.686105i
\(388\) −33.2132 + 26.4867i −1.68615 + 1.34466i
\(389\) 4.51086 14.6239i 0.228710 0.741459i −0.766372 0.642398i \(-0.777940\pi\)
0.995081 0.0990613i \(-0.0315840\pi\)
\(390\) −30.3562 53.7651i −1.53715 2.72250i
\(391\) −0.579529 + 0.334591i −0.0293081 + 0.0169210i
\(392\) 17.3990 64.7019i 0.878780 3.26794i
\(393\) −19.1185 13.3057i −0.964400 0.671182i
\(394\) −40.7422 + 27.7776i −2.05256 + 1.39941i
\(395\) 6.41958 + 28.1260i 0.323004 + 1.41517i
\(396\) −1.19206 + 62.0188i −0.0599031 + 3.11656i
\(397\) 12.7026 2.89930i 0.637528 0.145512i 0.108473 0.994099i \(-0.465404\pi\)
0.529054 + 0.848588i \(0.322547\pi\)
\(398\) −54.5125 50.5802i −2.73246 2.53536i
\(399\) −5.21871 + 13.6426i −0.261262 + 0.682984i
\(400\) −56.2825 + 52.2225i −2.81413 + 2.61113i
\(401\) −6.87623 + 10.0856i −0.343382 + 0.503649i −0.958619 0.284693i \(-0.908108\pi\)
0.615236 + 0.788343i \(0.289061\pi\)
\(402\) 47.5951 10.3831i 2.37383 0.517864i
\(403\) 4.40366 3.00237i 0.219362 0.149559i
\(404\) 31.0094 38.8846i 1.54278 1.93458i
\(405\) −27.5625 + 7.35471i −1.36959 + 0.365459i
\(406\) 39.4045 + 2.23061i 1.95561 + 0.110704i
\(407\) 3.97943 + 0.298217i 0.197253 + 0.0147821i
\(408\) −43.3119 + 9.44873i −2.14426 + 0.467782i
\(409\) −1.22278 + 8.11262i −0.0604626 + 0.401143i 0.938044 + 0.346516i \(0.112635\pi\)
−0.998507 + 0.0546277i \(0.982603\pi\)
\(410\) −41.0112 + 23.6778i −2.02540 + 1.16936i
\(411\) −20.3687 1.72340i −1.00472 0.0850092i
\(412\) −23.2817 + 9.13738i −1.14700 + 0.450166i
\(413\) 3.88866 4.34749i 0.191349 0.213926i
\(414\) −2.05512 0.0395011i −0.101003 0.00194138i
\(415\) −7.40259 9.28255i −0.363379 0.455662i
\(416\) 6.90992 92.2064i 0.338787 4.52079i
\(417\) −0.836301 + 5.20840i −0.0409539 + 0.255056i
\(418\) 30.5623 + 11.9948i 1.49485 + 0.586685i
\(419\) 12.5267 31.9174i 0.611967 1.55927i −0.202639 0.979253i \(-0.564952\pi\)
0.814606 0.580014i \(-0.196953\pi\)
\(420\) −0.689943 79.8267i −0.0336658 3.89514i
\(421\) −2.03395 5.18242i −0.0991287 0.252576i 0.872703 0.488251i \(-0.162365\pi\)
−0.971832 + 0.235675i \(0.924270\pi\)
\(422\) 42.3983i 2.06392i
\(423\) 5.01270 + 13.5312i 0.243726 + 0.657908i
\(424\) −73.5636 + 92.2458i −3.57256 + 4.47985i
\(425\) −9.89244 9.17885i −0.479854 0.445239i
\(426\) 17.9604 + 47.0878i 0.870183 + 2.28141i
\(427\) −11.4551 + 14.9147i −0.554351 + 0.721775i
\(428\) 14.0050 1.04953i 0.676955 0.0507308i
\(429\) 6.20672 26.0375i 0.299663 1.25710i
\(430\) −40.1836 58.9386i −1.93783 2.84227i
\(431\) 24.4738 + 5.58599i 1.17886 + 0.269067i 0.766677 0.642033i \(-0.221909\pi\)
0.412185 + 0.911100i \(0.364766\pi\)
\(432\) −74.8372 25.4688i −3.60061 1.22537i
\(433\) 17.8470 4.07347i 0.857674 0.195758i 0.228999 0.973427i \(-0.426455\pi\)
0.628675 + 0.777668i \(0.283598\pi\)
\(434\) 9.35808 0.873309i 0.449202 0.0419202i
\(435\) 29.2250 6.37558i 1.40123 0.305686i
\(436\) −18.3347 + 17.0121i −0.878072 + 0.814732i
\(437\) −0.291422 + 0.742532i −0.0139406 + 0.0355201i
\(438\) −48.1280 + 6.78182i −2.29965 + 0.324048i
\(439\) −4.37486 6.41674i −0.208801 0.306254i 0.707525 0.706688i \(-0.249812\pi\)
−0.916326 + 0.400434i \(0.868859\pi\)
\(440\) −114.138 −5.44131
\(441\) 15.6387 + 14.0154i 0.744699 + 0.667401i
\(442\) 30.0731 1.43043
\(443\) 18.5289 + 27.1769i 0.880335 + 1.29121i 0.955785 + 0.294065i \(0.0950083\pi\)
−0.0754500 + 0.997150i \(0.524039\pi\)
\(444\) −3.77907 + 9.36335i −0.179347 + 0.444365i
\(445\) −8.94851 + 22.8004i −0.424200 + 1.08084i
\(446\) −39.2641 + 36.4317i −1.85921 + 1.72509i
\(447\) −0.591119 0.649482i −0.0279590 0.0307194i
\(448\) 45.2515 69.0465i 2.13793 3.26214i
\(449\) −3.47216 + 0.792498i −0.163861 + 0.0374003i −0.303664 0.952779i \(-0.598210\pi\)
0.139803 + 0.990179i \(0.455353\pi\)
\(450\) −11.4546 39.8374i −0.539975 1.87796i
\(451\) −20.0151 4.56832i −0.942475 0.215114i
\(452\) 53.1063 + 77.8927i 2.49791 + 3.66376i
\(453\) 4.00259 + 3.78609i 0.188058 + 0.177886i
\(454\) 50.3944 3.77654i 2.36513 0.177242i
\(455\) −7.05114 + 33.7184i −0.330562 + 1.58074i
\(456\) −33.3422 + 40.9954i −1.56139 + 1.91978i
\(457\) 17.0236 + 15.7956i 0.796329 + 0.738885i 0.969257 0.246049i \(-0.0791325\pi\)
−0.172929 + 0.984934i \(0.555323\pi\)
\(458\) 28.9717 36.3294i 1.35376 1.69756i
\(459\) 3.48100 13.4514i 0.162479 0.627860i
\(460\) 4.35950i 0.203263i
\(461\) −4.62951 11.7958i −0.215618 0.549385i 0.781612 0.623765i \(-0.214398\pi\)
−0.997230 + 0.0743796i \(0.976302\pi\)
\(462\) 31.8054 34.8778i 1.47972 1.62266i
\(463\) 10.9476 27.8940i 0.508777 1.29634i −0.413742 0.910394i \(-0.635779\pi\)
0.922520 0.385950i \(-0.126126\pi\)
\(464\) 77.1617 + 30.2837i 3.58214 + 1.40589i
\(465\) 6.65556 2.53859i 0.308644 0.117724i
\(466\) 0.0895765 1.19532i 0.00414955 0.0553719i
\(467\) 6.66699 + 8.36014i 0.308512 + 0.386861i 0.911781 0.410676i \(-0.134707\pi\)
−0.603270 + 0.797537i \(0.706136\pi\)
\(468\) 57.9922 + 34.9847i 2.68069 + 1.61717i
\(469\) −23.7818 13.1576i −1.09814 0.607563i
\(470\) −38.8558 + 15.2498i −1.79228 + 0.703419i
\(471\) −7.87959 + 11.3219i −0.363072 + 0.521687i
\(472\) 18.2744 10.5507i 0.841149 0.485637i
\(473\) 4.60912 30.5795i 0.211927 1.40605i
\(474\) −29.0520 31.9204i −1.33440 1.46615i
\(475\) −16.0410 1.20211i −0.736013 0.0551565i
\(476\) 34.0225 + 18.8235i 1.55942 + 0.862773i
\(477\) −15.4021 33.6207i −0.705212 1.53938i
\(478\) −36.6201 + 45.9202i −1.67496 + 2.10034i
\(479\) −10.4325 + 7.11276i −0.476673 + 0.324990i −0.777711 0.628622i \(-0.783619\pi\)
0.301038 + 0.953612i \(0.402667\pi\)
\(480\) 37.5589 117.734i 1.71432 5.37380i
\(481\) 2.45445 3.60002i 0.111913 0.164147i
\(482\) −20.2668 + 18.8048i −0.923128 + 0.856537i
\(483\) 0.847381 + 0.772734i 0.0385572 + 0.0351606i
\(484\) −12.7067 11.7901i −0.577579 0.535915i
\(485\) 23.8857 5.45176i 1.08460 0.247552i
\(486\) 30.4984 29.8558i 1.38343 1.35429i
\(487\) 2.49659 + 10.9383i 0.113131 + 0.495661i 0.999468 + 0.0326192i \(0.0103849\pi\)
−0.886336 + 0.463042i \(0.846758\pi\)
\(488\) −56.2127 + 38.3252i −2.54463 + 1.73490i
\(489\) 6.65801 3.12787i 0.301086 0.141447i
\(490\) −39.6656 + 46.0088i −1.79191 + 2.07847i
\(491\) −35.5273 + 20.5117i −1.60333 + 0.925681i −0.612511 + 0.790462i \(0.709840\pi\)
−0.990816 + 0.135218i \(0.956826\pi\)
\(492\) 26.4040 44.7348i 1.19038 2.01680i
\(493\) −4.29440 + 13.9221i −0.193410 + 0.627020i
\(494\) 28.0266 22.3505i 1.26098 1.00559i
\(495\) 16.1384 31.9273i 0.725369 1.43503i
\(496\) 19.2448 + 4.39249i 0.864116 + 0.197229i
\(497\) 9.79309 26.3570i 0.439280 1.18227i
\(498\) 16.4720 + 6.64815i 0.738129 + 0.297911i
\(499\) −24.0422 16.3917i −1.07628 0.733794i −0.110686 0.993855i \(-0.535305\pi\)
−0.965592 + 0.260062i \(0.916257\pi\)
\(500\) 0.777075 0.239696i 0.0347518 0.0107195i
\(501\) −18.1035 32.0638i −0.808804 1.43251i
\(502\) −17.8441 + 7.00328i −0.796420 + 0.312572i
\(503\) 10.4247 + 5.02029i 0.464817 + 0.223844i 0.651608 0.758556i \(-0.274095\pi\)
−0.186792 + 0.982400i \(0.559809\pi\)
\(504\) 37.9221 + 65.8298i 1.68918 + 2.93229i
\(505\) −25.8430 + 12.4453i −1.15000 + 0.553809i
\(506\) 1.75329 1.88960i 0.0779432 0.0840028i
\(507\) −4.87392 4.61028i −0.216458 0.204750i
\(508\) 6.94560 + 12.0301i 0.308161 + 0.533751i
\(509\) 10.2552 + 17.7625i 0.454553 + 0.787309i 0.998662 0.0517054i \(-0.0164657\pi\)
−0.544109 + 0.839014i \(0.683132\pi\)
\(510\) 39.0974 + 9.31986i 1.73126 + 0.412691i
\(511\) 22.6802 + 14.8641i 1.00331 + 0.657549i
\(512\) 40.0493 31.9382i 1.76994 1.41148i
\(513\) −6.75307 15.1232i −0.298155 0.667704i
\(514\) 19.7792 + 41.0720i 0.872424 + 1.81161i
\(515\) 14.3838 + 1.07792i 0.633828 + 0.0474988i
\(516\) 70.1695 + 34.6264i 3.08904 + 1.52434i
\(517\) −16.8449 6.61115i −0.740840 0.290758i
\(518\) 6.86061 3.45954i 0.301438 0.152004i
\(519\) −5.33375 5.04524i −0.234126 0.221461i
\(520\) −62.3106 + 107.925i −2.73250 + 4.73283i
\(521\) 13.3949 0.586840 0.293420 0.955984i \(-0.405207\pi\)
0.293420 + 0.955984i \(0.405207\pi\)
\(522\) −33.3845 + 29.8031i −1.46120 + 1.30444i
\(523\) 1.29063 + 0.294577i 0.0564352 + 0.0128810i 0.250645 0.968079i \(-0.419357\pi\)
−0.194210 + 0.980960i \(0.562214\pi\)
\(524\) −5.52333 + 73.7037i −0.241288 + 3.21976i
\(525\) −9.85388 + 20.9225i −0.430059 + 0.913132i
\(526\) 0.184644 + 2.46391i 0.00805088 + 0.107432i
\(527\) −0.517106 + 3.43078i −0.0225255 + 0.149447i
\(528\) 86.3268 48.7408i 3.75689 2.12117i
\(529\) −16.8143 15.6014i −0.731056 0.678321i
\(530\) 96.3803 46.4143i 4.18649 2.01611i
\(531\) 0.367418 + 6.60364i 0.0159446 + 0.286574i
\(532\) 45.6970 7.74318i 1.98122 0.335709i
\(533\) −15.2464 + 16.4317i −0.660395 + 0.711736i
\(534\) −5.11322 36.2866i −0.221271 1.57027i
\(535\) −7.53974 2.95913i −0.325972 0.127934i
\(536\) −66.8780 72.0773i −2.88869 3.11327i
\(537\) −0.342171 + 35.6074i −0.0147658 + 1.53657i
\(538\) 49.2190 + 28.4166i 2.12198 + 1.22513i
\(539\) −26.1723 + 2.92517i −1.12732 + 0.125996i
\(540\) 64.5524 + 63.4551i 2.77789 + 2.73067i
\(541\) 21.9729 + 10.5816i 0.944691 + 0.454939i 0.841822 0.539756i \(-0.181483\pi\)
0.102869 + 0.994695i \(0.467198\pi\)
\(542\) 29.6592 + 9.14865i 1.27397 + 0.392968i
\(543\) −1.24359 + 2.52010i −0.0533674 + 0.108148i
\(544\) 40.9410 + 44.1239i 1.75533 + 1.89180i
\(545\) 13.7838 4.25175i 0.590435 0.182125i
\(546\) −15.6161 49.1148i −0.668305 2.10192i
\(547\) −22.1460 6.83114i −0.946895 0.292078i −0.217414 0.976079i \(-0.569762\pi\)
−0.729481 + 0.684001i \(0.760238\pi\)
\(548\) 28.1429 + 58.4394i 1.20221 + 2.49641i
\(549\) −2.77239 21.1431i −0.118323 0.902366i
\(550\) 46.8347 + 22.5544i 1.99704 + 0.961724i
\(551\) 6.34481 + 16.1663i 0.270298 + 0.688708i
\(552\) 2.03978 + 3.61273i 0.0868187 + 0.153768i
\(553\) 0.439502 + 24.0769i 0.0186895 + 1.02385i
\(554\) −40.1094 + 58.8297i −1.70409 + 2.49943i
\(555\) 4.30665 3.91965i 0.182807 0.166380i
\(556\) 15.5814 6.11523i 0.660797 0.259344i
\(557\) 40.2596i 1.70586i 0.522029 + 0.852928i \(0.325175\pi\)
−0.522029 + 0.852928i \(0.674825\pi\)
\(558\) −6.80353 + 8.20288i −0.288017 + 0.347256i
\(559\) −26.3988 21.0523i −1.11655 0.890418i
\(560\) −109.308 + 65.7975i −4.61909 + 2.78045i
\(561\) 9.67683 + 14.4905i 0.408556 + 0.611790i
\(562\) 11.7363 29.9036i 0.495065 1.26141i
\(563\) −15.5115 10.5756i −0.653732 0.445707i 0.190498 0.981688i \(-0.438990\pi\)
−0.844230 + 0.535981i \(0.819942\pi\)
\(564\) 28.8905 35.5219i 1.21651 1.49574i
\(565\) −8.10342 53.7627i −0.340913 2.26181i
\(566\) −36.3936 45.6361i −1.52974 1.91823i
\(567\) −23.7763 + 1.29983i −0.998509 + 0.0545877i
\(568\) 63.4217 79.5282i 2.66111 3.33693i
\(569\) −18.2327 10.5266i −0.764353 0.441299i 0.0665036 0.997786i \(-0.478816\pi\)
−0.830856 + 0.556487i \(0.812149\pi\)
\(570\) 43.3633 20.3717i 1.81629 0.853277i
\(571\) 25.3122 + 3.81520i 1.05928 + 0.159661i 0.655501 0.755194i \(-0.272458\pi\)
0.403781 + 0.914856i \(0.367696\pi\)
\(572\) −81.1610 + 25.0349i −3.39351 + 1.04676i
\(573\) −23.1359 + 8.82456i −0.966516 + 0.368651i
\(574\) −37.5533 + 12.3386i −1.56745 + 0.515005i
\(575\) −0.547975 + 1.13788i −0.0228522 + 0.0474530i
\(576\) 19.0719 + 91.6436i 0.794663 + 3.81848i
\(577\) −10.2196 + 21.2213i −0.425448 + 0.883452i 0.572529 + 0.819884i \(0.305962\pi\)
−0.997978 + 0.0635681i \(0.979752\pi\)
\(578\) 18.3423 19.7683i 0.762940 0.822254i
\(579\) 6.30300 + 1.01206i 0.261944 + 0.0420597i
\(580\) −64.5583 69.5773i −2.68064 2.88904i
\(581\) −4.46221 8.84901i −0.185124 0.367119i
\(582\) −27.1081 + 24.6721i −1.12367 + 1.02269i
\(583\) 44.3156 + 13.6695i 1.83536 + 0.566135i
\(584\) 61.1649 + 76.6983i 2.53102 + 3.17380i
\(585\) −21.3791 32.6899i −0.883917 1.35156i
\(586\) 30.8875 64.1385i 1.27595 2.64954i
\(587\) 13.1442 22.7664i 0.542518 0.939669i −0.456241 0.889856i \(-0.650804\pi\)
0.998759 0.0498123i \(-0.0158623\pi\)
\(588\) 13.0753 65.3395i 0.539217 2.69456i
\(589\) 2.06785 + 3.58163i 0.0852044 + 0.147578i
\(590\) −19.0784 + 1.42973i −0.785446 + 0.0588610i
\(591\) −24.5751 + 19.2146i −1.01088 + 0.790382i
\(592\) 15.9570 2.40514i 0.655830 0.0988505i
\(593\) −0.0962597 0.421741i −0.00395291 0.0173188i 0.972913 0.231172i \(-0.0742559\pi\)
−0.976866 + 0.213853i \(0.931399\pi\)
\(594\) 2.45966 + 53.4657i 0.100921 + 2.19372i
\(595\) −12.9682 18.2944i −0.531646 0.749996i
\(596\) −0.821375 + 2.66283i −0.0336448 + 0.109074i
\(597\) −36.4973 29.6838i −1.49373 1.21488i
\(598\) −0.829580 2.68943i −0.0339240 0.109979i
\(599\) 8.17744 0.612815i 0.334121 0.0250389i 0.0933867 0.995630i \(-0.470231\pi\)
0.240735 + 0.970591i \(0.422612\pi\)
\(600\) −57.4937 + 60.7815i −2.34717 + 2.48139i
\(601\) 4.85318 + 7.11831i 0.197966 + 0.290362i 0.912366 0.409375i \(-0.134253\pi\)
−0.714401 + 0.699737i \(0.753301\pi\)
\(602\) −22.7615 55.0209i −0.927691 2.24248i
\(603\) 29.6180 8.51618i 1.20614 0.346806i
\(604\) 3.89018 17.0440i 0.158289 0.693511i
\(605\) 3.65229 + 9.30589i 0.148487 + 0.378338i
\(606\) 24.5137 35.2230i 0.995801 1.43084i
\(607\) −23.1948 + 13.3915i −0.941447 + 0.543545i −0.890414 0.455152i \(-0.849585\pi\)
−0.0510334 + 0.998697i \(0.516252\pi\)
\(608\) 70.9480 + 10.6937i 2.87732 + 0.433686i
\(609\) 24.9673 0.215793i 1.01173 0.00874436i
\(610\) 60.9953 9.19356i 2.46963 0.372236i
\(611\) −15.4474 + 12.3189i −0.624933 + 0.498368i
\(612\) −42.3719 + 12.1834i −1.71278 + 0.492483i
\(613\) 29.2800 14.1005i 1.18261 0.569515i 0.263939 0.964539i \(-0.414978\pi\)
0.918670 + 0.395025i \(0.129264\pi\)
\(614\) 17.3238 2.61114i 0.699130 0.105377i
\(615\) −24.9138 + 16.6375i −1.00462 + 0.670890i
\(616\) −93.2553 19.5014i −3.75736 0.785733i
\(617\) 2.34233 15.5403i 0.0942986 0.625631i −0.890898 0.454203i \(-0.849924\pi\)
0.985197 0.171427i \(-0.0548379\pi\)
\(618\) −19.5321 + 9.17600i −0.785696 + 0.369113i
\(619\) 21.7201 + 12.5401i 0.873003 + 0.504029i 0.868345 0.495960i \(-0.165184\pi\)
0.00465819 + 0.999989i \(0.498517\pi\)
\(620\) −17.6716 14.0926i −0.709707 0.565973i
\(621\) −1.29899 + 0.0597592i −0.0521265 + 0.00239805i
\(622\) 8.91857 + 18.5196i 0.357602 + 0.742569i
\(623\) −11.2069 + 17.1000i −0.448996 + 0.685095i
\(624\) 1.04011 108.237i 0.0416376 4.33294i
\(625\) 24.4878 + 3.69094i 0.979513 + 0.147638i
\(626\) −5.53955 73.9202i −0.221405 2.95445i
\(627\) 19.7877 + 6.31257i 0.790246 + 0.252100i
\(628\) 43.6472 + 3.27091i 1.74171 + 0.130523i
\(629\) 0.631148 + 2.76524i 0.0251655 + 0.110257i
\(630\) −5.08105 68.6927i −0.202434 2.73678i
\(631\) −4.71943 + 20.6772i −0.187878 + 0.823146i 0.789855 + 0.613293i \(0.210156\pi\)
−0.977733 + 0.209853i \(0.932702\pi\)
\(632\) −25.6782 + 83.2468i −1.02143 + 3.31138i
\(633\) −1.74732 26.7653i −0.0694498 1.06383i
\(634\) 28.1807 26.1479i 1.11920 1.03847i
\(635\) −0.598692 7.98899i −0.0237584 0.317033i
\(636\) −67.0303 + 96.3138i −2.65793 + 3.81909i
\(637\) −11.5221 + 26.3446i −0.456523 + 1.04381i
\(638\) 56.1217i 2.22188i
\(639\) 13.2786 + 28.9855i 0.525295 + 1.14665i
\(640\) −124.868 + 28.5004i −4.93585 + 1.12658i
\(641\) −1.13622 7.53833i −0.0448780 0.297746i −0.999999 0.00152973i \(-0.999513\pi\)
0.955121 0.296217i \(-0.0957250\pi\)
\(642\) 11.9994 1.69086i 0.473578 0.0667329i
\(643\) −4.52796 14.6793i −0.178565 0.578894i −0.999964 0.00853939i \(-0.997282\pi\)
0.821398 0.570355i \(-0.193194\pi\)
\(644\) 0.744855 3.56189i 0.0293514 0.140358i
\(645\) −27.7962 35.5508i −1.09447 1.39981i
\(646\) −1.74387 + 23.2703i −0.0686117 + 0.915559i
\(647\) −6.25547 + 27.4070i −0.245928 + 1.07748i 0.689589 + 0.724201i \(0.257791\pi\)
−0.935517 + 0.353281i \(0.885066\pi\)
\(648\) −83.1850 22.3818i −3.26782 0.879242i
\(649\) −6.48464 5.17132i −0.254544 0.202992i
\(650\) 46.8950 31.9725i 1.83937 1.25406i
\(651\) 5.87160 0.936971i 0.230126 0.0367228i
\(652\) −19.2858 13.1488i −0.755291 0.514948i
\(653\) 10.3433 + 33.5321i 0.404764 + 1.31221i 0.897108 + 0.441811i \(0.145664\pi\)
−0.492344 + 0.870401i \(0.663860\pi\)
\(654\) −14.8301 + 15.6781i −0.579902 + 0.613064i
\(655\) 21.3129 36.9151i 0.832766 1.44239i
\(656\) −83.0194 −3.24136
\(657\) −30.1029 + 6.26470i −1.17442 + 0.244409i
\(658\) −34.3523 + 5.82086i −1.33919 + 0.226921i
\(659\) 0.376665 + 2.49901i 0.0146728 + 0.0973475i 0.994969 0.100188i \(-0.0319444\pi\)
−0.980296 + 0.197535i \(0.936706\pi\)
\(660\) −113.274 + 7.39488i −4.40919 + 0.287845i
\(661\) −16.7729 + 24.6014i −0.652391 + 0.956882i 0.347425 + 0.937708i \(0.387056\pi\)
−0.999816 + 0.0191743i \(0.993896\pi\)
\(662\) −45.9542 + 67.4025i −1.78606 + 2.61967i
\(663\) 18.9846 1.23937i 0.737301 0.0481333i
\(664\) −5.34357 35.4523i −0.207371 1.37582i
\(665\) −25.6822 7.41138i −0.995914 0.287401i
\(666\) −2.72751 + 8.27434i −0.105689 + 0.320624i
\(667\) 1.36351 0.0527955
\(668\) −58.4190 + 101.185i −2.26030 + 3.91496i
\(669\) −23.2853 + 24.6169i −0.900261 + 0.951743i
\(670\) 26.2767 + 85.1869i 1.01516 + 3.29106i
\(671\) 22.0950 + 15.0641i 0.852968 + 0.581544i
\(672\) 50.8029 89.7763i 1.95977 3.46320i
\(673\) −40.0160 + 27.2824i −1.54250 + 1.05166i −0.569182 + 0.822212i \(0.692740\pi\)
−0.973321 + 0.229449i \(0.926308\pi\)
\(674\) −49.0597 39.1238i −1.88971 1.50699i
\(675\) −8.87287 24.6766i −0.341517 0.949803i
\(676\) −4.73704 + 20.7543i −0.182194 + 0.798243i
\(677\) 0.462875 6.17663i 0.0177897 0.237387i −0.981220 0.192892i \(-0.938213\pi\)
0.999010 0.0444948i \(-0.0141678\pi\)
\(678\) 50.1033 + 64.0812i 1.92420 + 2.46102i
\(679\) 20.4471 0.373243i 0.784687 0.0143237i
\(680\) −23.9120 77.5207i −0.916982 2.97278i
\(681\) 31.6575 4.46092i 1.21312 0.170943i
\(682\) −1.99191 13.2154i −0.0762741 0.506046i
\(683\) 18.5616 4.23656i 0.710239 0.162107i 0.147885 0.989004i \(-0.452753\pi\)
0.562353 + 0.826897i \(0.309896\pi\)
\(684\) −30.4338 + 42.8453i −1.16366 + 1.63823i
\(685\) 37.4080i 1.42928i
\(686\) −40.2693 + 30.8139i −1.53749 + 1.17648i
\(687\) 16.7921 24.1281i 0.640659 0.920543i
\(688\) −9.34539 124.706i −0.356290 4.75436i
\(689\) 37.1185 34.4409i 1.41410 1.31209i
\(690\) −0.245044 3.75356i −0.00932867 0.142896i
\(691\) 12.9940 42.1255i 0.494315 1.60253i −0.273508 0.961870i \(-0.588184\pi\)
0.767823 0.640662i \(-0.221340\pi\)
\(692\) −5.18396 + 22.7124i −0.197065 + 0.863396i
\(693\) 18.6408 23.3285i 0.708105 0.886177i
\(694\) −1.03339 4.52758i −0.0392270 0.171865i
\(695\) −9.62645 0.721403i −0.365152 0.0273644i
\(696\) 86.0543 + 27.4526i 3.26188 + 1.04059i
\(697\) −1.09045 14.5510i −0.0413037 0.551159i
\(698\) 17.7721 + 2.67871i 0.672684 + 0.101391i
\(699\) 0.00728667 0.758273i 0.000275607 0.0286805i
\(700\) 73.0660 6.81862i 2.76164 0.257720i
\(701\) 18.7370 + 38.9077i 0.707685 + 1.46952i 0.875254 + 0.483663i \(0.160694\pi\)
−0.167569 + 0.985860i \(0.553592\pi\)
\(702\) 51.8983 + 26.8624i 1.95877 + 1.01386i
\(703\) 2.64334 + 2.10799i 0.0996954 + 0.0795045i
\(704\) −101.662 58.6944i −3.83152 2.21213i
\(705\) −23.9005 + 11.2282i −0.900144 + 0.422880i
\(706\) −5.30648 + 35.2062i −0.199712 + 1.32500i
\(707\) −23.2411 + 5.75285i −0.874072 + 0.216358i
\(708\) 17.4526 11.6549i 0.655907 0.438017i
\(709\) 0.938680 0.141483i 0.0352529 0.00531352i −0.131392 0.991330i \(-0.541945\pi\)
0.166645 + 0.986017i \(0.446707\pi\)
\(710\) −83.0928 + 40.0154i −3.11842 + 1.50175i
\(711\) −19.6555 18.9535i −0.737140 0.710811i
\(712\) −57.8274 + 46.1158i −2.16717 + 1.72826i
\(713\) 0.321078 0.0483948i 0.0120245 0.00181240i
\(714\) 30.3517 + 14.2948i 1.13589 + 0.534969i
\(715\) 48.4366 + 7.30064i 1.81143 + 0.273029i
\(716\) 97.8528 56.4953i 3.65693 2.11133i
\(717\) −21.2252 + 30.4978i −0.792668 + 1.13896i
\(718\) 23.7384 + 60.4846i 0.885911 + 2.25726i
\(719\) −4.20477 + 18.4223i −0.156811 + 0.687036i 0.833998 + 0.551768i \(0.186047\pi\)
−0.990809 + 0.135268i \(0.956811\pi\)
\(720\) 34.8956 140.394i 1.30048 5.23217i
\(721\) 11.5680 + 3.33830i 0.430815 + 0.124325i
\(722\) −13.6343 19.9978i −0.507415 0.744241i
\(723\) −12.0191 + 12.7064i −0.446995 + 0.472556i
\(724\) 8.89219 0.666378i 0.330476 0.0247657i
\(725\) 8.10486 + 26.2753i 0.301007 + 0.975840i
\(726\) −11.6033 9.43716i −0.430639 0.350246i
\(727\) −8.79188 + 28.5026i −0.326073 + 1.05710i 0.633050 + 0.774111i \(0.281803\pi\)
−0.959123 + 0.282991i \(0.908673\pi\)
\(728\) −69.3502 + 77.5330i −2.57029 + 2.87356i
\(729\) 18.0227 20.1043i 0.667506 0.744605i
\(730\) −19.7920 86.7143i −0.732534 3.20944i
\(731\) 21.7347 3.27598i 0.803888 0.121167i
\(732\) −53.3043 + 41.6771i −1.97018 + 1.54043i
\(733\) 43.2885 3.24403i 1.59890 0.119821i 0.754780 0.655978i \(-0.227744\pi\)
0.844118 + 0.536157i \(0.180125\pi\)
\(734\) −46.5977 80.7096i −1.71995 2.97905i
\(735\) −23.1440 + 30.6792i −0.853681 + 1.13162i
\(736\) 2.81662 4.87852i 0.103822 0.179825i
\(737\) −16.7686 + 34.8203i −0.617679 + 1.28262i
\(738\) 20.2196 40.0011i 0.744292 1.47246i
\(739\) 2.14213 + 2.68615i 0.0787997 + 0.0988117i 0.819669 0.572838i \(-0.194158\pi\)
−0.740869 + 0.671650i \(0.765586\pi\)
\(740\) −17.6570 5.44645i −0.649083 0.200216i
\(741\) 16.7716 15.2645i 0.616119 0.560755i
\(742\) 86.6769 21.4550i 3.18201 0.787639i
\(743\) 2.38928 + 2.57503i 0.0876543 + 0.0944689i 0.775356 0.631525i \(-0.217571\pi\)
−0.687701 + 0.725994i \(0.741380\pi\)
\(744\) 21.2383 + 3.41019i 0.778634 + 0.125024i
\(745\) 1.09312 1.17810i 0.0400488 0.0431623i
\(746\) −0.654618 + 1.35933i −0.0239673 + 0.0497685i
\(747\) 10.6725 + 3.51801i 0.390485 + 0.128717i
\(748\) 23.9894 49.8144i 0.877138 1.82140i
\(749\) −5.65468 3.70596i −0.206618 0.135413i
\(750\) 0.655595 0.250059i 0.0239389 0.00913086i
\(751\) 13.1782 4.06495i 0.480881 0.148332i −0.0448314 0.998995i \(-0.514275\pi\)
0.525712 + 0.850662i \(0.323799\pi\)
\(752\) −72.3594 10.9064i −2.63867 0.397716i
\(753\) −10.9760 + 5.15644i −0.399989 + 0.187911i
\(754\) −53.0669 30.6382i −1.93258 1.11578i
\(755\) −6.28632 + 7.88280i −0.228783 + 0.286884i
\(756\) 41.9001 + 62.8747i 1.52389 + 2.28673i
\(757\) −6.77372 8.49398i −0.246195 0.308719i 0.643345 0.765577i \(-0.277546\pi\)
−0.889540 + 0.456858i \(0.848975\pi\)
\(758\) −9.28441 61.5980i −0.337225 2.23734i
\(759\) 1.02895 1.26513i 0.0373484 0.0459211i
\(760\) −79.8985 54.4739i −2.89822 1.97598i
\(761\) 0.678850 1.72968i 0.0246083 0.0627009i −0.918042 0.396484i \(-0.870230\pi\)
0.942650 + 0.333783i \(0.108325\pi\)
\(762\) 6.65643 + 9.96764i 0.241137 + 0.361090i
\(763\) 11.9884 1.11877i 0.434009 0.0405024i
\(764\) 61.4294 + 48.9883i 2.22244 + 1.77234i
\(765\) 25.0656 + 4.27218i 0.906247 + 0.154461i
\(766\) 52.6636i 1.90281i
\(767\) −8.42996 + 3.30852i −0.304388 + 0.119464i
\(768\) 61.7769 56.2256i 2.22918 2.02887i
\(769\) 7.20986 10.5749i 0.259994 0.381341i −0.673940 0.738786i \(-0.735400\pi\)
0.933934 + 0.357445i \(0.116352\pi\)
\(770\) 68.5062 + 52.6155i 2.46879 + 1.89613i
\(771\) 14.1789 + 25.1129i 0.510642 + 0.904417i
\(772\) −7.40041 18.8559i −0.266347 0.678640i
\(773\) 9.91769 + 4.77611i 0.356714 + 0.171785i 0.603654 0.797246i \(-0.293711\pi\)
−0.246940 + 0.969031i \(0.579425\pi\)
\(774\) 62.3629 + 25.8694i 2.24159 + 0.929858i
\(775\) 2.84110 + 5.89961i 0.102055 + 0.211920i
\(776\) 70.6966 + 21.8070i 2.53786 + 0.782826i
\(777\) 4.18841 2.46669i 0.150258 0.0884919i
\(778\) −40.0383 + 12.3502i −1.43544 + 0.442775i
\(779\) −11.8306 12.7504i −0.423877 0.456830i
\(780\) −54.8467 + 111.145i −1.96383 + 3.97965i
\(781\) −38.2060 11.7850i −1.36712 0.421700i
\(782\) 1.65070 + 0.794935i 0.0590289 + 0.0284268i
\(783\) −19.8468 + 20.1900i −0.709266 + 0.721531i
\(784\) −100.551 + 35.0831i −3.59110 + 1.25297i
\(785\) −21.8611 12.6215i −0.780255 0.450480i
\(786\) −0.612801 + 63.7700i −0.0218579 + 2.27460i
\(787\) 24.1173 + 25.9923i 0.859690 + 0.926525i 0.997958 0.0638694i \(-0.0203441\pi\)
−0.138268 + 0.990395i \(0.544154\pi\)
\(788\) 92.1424 + 36.1632i 3.28244 + 1.28826i
\(789\) 0.218106 + 1.54781i 0.00776476 + 0.0551036i
\(790\) 53.7240 57.9007i 1.91141 2.06001i
\(791\) 2.56496 45.3108i 0.0911995 1.61107i
\(792\) 90.4106 59.1283i 3.21260 2.10103i
\(793\) 26.3063 12.6685i 0.934166 0.449870i
\(794\) −26.1499 24.2636i −0.928025 0.861081i
\(795\) 58.9304 33.2726i 2.09005 1.18006i
\(796\) −22.2485 + 147.609i −0.788577 + 5.23187i
\(797\) −1.48952 19.8762i −0.0527615 0.704053i −0.959383 0.282108i \(-0.908967\pi\)
0.906621 0.421945i \(-0.138653\pi\)
\(798\) 38.9103 9.23553i 1.37741 0.326934i
\(799\) 0.961166 12.8259i 0.0340036 0.453747i
\(800\) 110.753 + 25.2786i 3.91570 + 0.893733i
\(801\) −4.72333 22.6963i −0.166891 0.801936i
\(802\) 33.4202 1.18011
\(803\) 19.2798 33.3936i 0.680369 1.17843i
\(804\) −71.0417 67.1989i −2.50545 2.36992i
\(805\) −1.27833 + 1.66441i −0.0450552 + 0.0586626i
\(806\) −13.5835 5.33115i −0.478460 0.187782i
\(807\) 32.2422 + 15.9105i 1.13498 + 0.560076i
\(808\) −86.3743 6.47286i −3.03864 0.227714i
\(809\) −20.8332 43.2606i −0.732457 1.52096i −0.849357 0.527818i \(-0.823010\pi\)
0.116901 0.993144i \(-0.462704\pi\)
\(810\) 59.1469 + 51.0069i 2.07821 + 1.79220i
\(811\) −11.6714 + 9.30762i −0.409838 + 0.326835i −0.806612 0.591082i \(-0.798701\pi\)
0.396774 + 0.917916i \(0.370130\pi\)
\(812\) −40.8589 67.8777i −1.43387 2.38204i
\(813\) 19.1004 + 4.55307i 0.669879 + 0.159683i
\(814\) −5.46286 9.46195i −0.191473 0.331641i
\(815\) 6.73086 + 11.6582i 0.235772 + 0.408368i
\(816\) 51.1896 + 48.4206i 1.79199 + 1.69506i
\(817\) 17.8209 19.2064i 0.623476 0.671947i
\(818\) 20.2378 9.74600i 0.707597 0.340761i
\(819\) −11.8823 30.3618i −0.415200 1.06093i
\(820\) 85.6468 + 41.2453i 2.99092 + 1.44035i
\(821\) −20.3524 + 7.98771i −0.710302 + 0.278773i −0.692857 0.721075i \(-0.743648\pi\)
−0.0174449 + 0.999848i \(0.505553\pi\)
\(822\) 27.5161 + 48.7349i 0.959736 + 1.69983i
\(823\) −38.0535 + 11.7379i −1.32646 + 0.409159i −0.875428 0.483349i \(-0.839420\pi\)
−0.451032 + 0.892508i \(0.648944\pi\)
\(824\) 35.9886 + 24.5366i 1.25372 + 0.854773i
\(825\) 30.4955 + 12.3081i 1.06172 + 0.428511i
\(826\) −15.8321 2.09155i −0.550870 0.0727744i
\(827\) −9.40234 2.14602i −0.326951 0.0746245i 0.0558946 0.998437i \(-0.482199\pi\)
−0.382846 + 0.923812i \(0.625056\pi\)
\(828\) 2.25841 + 3.45323i 0.0784850 + 0.120008i
\(829\) 26.3246 20.9932i 0.914290 0.729122i −0.0486559 0.998816i \(-0.515494\pi\)
0.962946 + 0.269693i \(0.0869223\pi\)
\(830\) −9.58140 + 31.0621i −0.332575 + 1.07818i
\(831\) −22.8959 + 38.7911i −0.794249 + 1.34565i
\(832\) −110.999 + 64.0854i −3.84820 + 2.22176i
\(833\) −7.46983 17.1630i −0.258814 0.594662i
\(834\) 13.0719 6.14108i 0.452644 0.212648i
\(835\) 55.6747 37.9584i 1.92670 1.31360i
\(836\) −14.6654 64.2535i −0.507215 2.22225i
\(837\) −3.95689 + 5.45872i −0.136770 + 0.188681i
\(838\) −91.5215 + 20.8892i −3.16156 + 0.721605i
\(839\) 2.54994 + 2.36600i 0.0880338 + 0.0816834i 0.722962 0.690887i \(-0.242780\pi\)
−0.634929 + 0.772571i \(0.718970\pi\)
\(840\) −114.189 + 79.3068i −3.93989 + 2.73635i
\(841\) 0.503089 0.466798i 0.0173479 0.0160965i
\(842\) −8.58640 + 12.5939i −0.295907 + 0.434016i
\(843\) 6.17652 19.3613i 0.212731 0.666838i
\(844\) −70.3209 + 47.9439i −2.42054 + 1.65030i
\(845\) 7.65479 9.59880i 0.263333 0.330209i
\(846\) 22.8783 32.2086i 0.786572 1.10735i
\(847\) 1.39408 + 8.22731i 0.0479013 + 0.282694i
\(848\) 187.012 + 14.0146i 6.42203 + 0.481265i
\(849\) −24.8554 27.3094i −0.853035 0.937257i
\(850\) −5.50671 + 36.5346i −0.188878 + 1.25313i
\(851\) 0.229885 0.132724i 0.00788035 0.00454972i
\(852\) 57.7891 83.0354i 1.97982 2.84475i
\(853\) −31.3093 + 12.2880i −1.07201 + 0.420734i −0.834703 0.550701i \(-0.814361\pi\)
−0.237309 + 0.971434i \(0.576265\pi\)
\(854\) 51.4064 + 2.91002i 1.75909 + 0.0995788i
\(855\) 26.5349 14.6474i 0.907476 0.500930i
\(856\) −15.2498 19.1226i −0.521227 0.653598i
\(857\) 2.96890 39.6172i 0.101416 1.35330i −0.681796 0.731542i \(-0.738801\pi\)
0.783212 0.621755i \(-0.213580\pi\)
\(858\) −68.4731 + 26.1172i −2.33763 + 0.891627i
\(859\) 36.7067 + 14.4063i 1.25241 + 0.491537i 0.896526 0.442992i \(-0.146083\pi\)
0.355889 + 0.934528i \(0.384178\pi\)
\(860\) −52.3145 + 133.295i −1.78391 + 4.54533i
\(861\) −23.1983 + 9.33682i −0.790594 + 0.318198i
\(862\) −25.1097 63.9784i −0.855239 2.17911i
\(863\) 30.8901i 1.05151i 0.850635 + 0.525756i \(0.176218\pi\)
−0.850635 + 0.525756i \(0.823782\pi\)
\(864\) 31.2403 + 112.716i 1.06282 + 3.83469i
\(865\) 8.37699 10.5044i 0.284826 0.357161i
\(866\) −36.7402 34.0899i −1.24848 1.15842i
\(867\) 10.7645 13.2353i 0.365581 0.449495i
\(868\) −12.0306 14.5336i −0.408344 0.493301i
\(869\) 34.1466 2.55893i 1.15834 0.0868058i
\(870\) −59.4961 56.2778i −2.01711 1.90800i
\(871\) 23.7706 + 34.8651i 0.805437 + 1.18136i
\(872\) 42.4666 + 9.69272i 1.43810 + 0.328237i
\(873\) −16.0961 + 16.6923i −0.544769 + 0.564948i
\(874\) 2.12917 0.485969i 0.0720202 0.0164381i
\(875\) −0.366964 0.136347i −0.0124056 0.00460938i
\(876\) 65.6712 + 72.1551i 2.21882 + 2.43789i
\(877\) 0.401403 0.372448i 0.0135544 0.0125767i −0.673366 0.739309i \(-0.735152\pi\)
0.686921 + 0.726732i \(0.258962\pi\)
\(878\) −7.76821 + 19.7931i −0.262164 + 0.667984i
\(879\) 16.8554 41.7624i 0.568520 1.40861i
\(880\) 102.197 + 149.896i 3.44506 + 5.05298i
\(881\) 46.2033 1.55663 0.778314 0.627876i \(-0.216075\pi\)
0.778314 + 0.627876i \(0.216075\pi\)
\(882\) 7.58527 56.9928i 0.255409 1.91905i
\(883\) 2.37824 0.0800343 0.0400171 0.999199i \(-0.487259\pi\)
0.0400171 + 0.999199i \(0.487259\pi\)
\(884\) −34.0066 49.8785i −1.14376 1.67759i
\(885\) −11.9849 + 1.68882i −0.402869 + 0.0567692i
\(886\) 32.9008 83.8299i 1.10532 2.81632i
\(887\) −19.7725 + 18.3462i −0.663896 + 0.616006i −0.938388 0.345584i \(-0.887681\pi\)
0.274492 + 0.961589i \(0.411490\pi\)
\(888\) 17.1807 3.74807i 0.576548 0.125777i
\(889\) 0.875827 6.62962i 0.0293743 0.222350i
\(890\) 65.3790 14.9223i 2.19151 0.500198i
\(891\) 3.75617 + 33.6506i 0.125836 + 1.12734i
\(892\) 104.825 + 23.9255i 3.50978 + 0.801085i
\(893\) −8.63649 12.6674i −0.289009 0.423899i
\(894\) −0.557535 + 2.33889i −0.0186468 + 0.0782242i
\(895\) −64.9822 + 4.86974i −2.17212 + 0.162778i
\(896\) −106.892 + 1.95122i −3.57101 + 0.0651855i
\(897\) −0.634536 1.66360i −0.0211865 0.0555460i
\(898\) 7.14785 + 6.63224i 0.238527 + 0.221321i
\(899\) 4.40773 5.52711i 0.147006 0.184340i
\(900\) −53.1206 + 64.0464i −1.77069 + 2.13488i
\(901\) 32.9622i 1.09813i
\(902\) 20.5351 + 52.3227i 0.683745 + 1.74215i
\(903\) −16.6365 33.7957i −0.553627 1.12465i
\(904\) 59.9827 152.833i 1.99499 5.08316i
\(905\) −4.78722 1.87885i −0.159133 0.0624550i
\(906\) 2.39145 14.8937i 0.0794506 0.494810i
\(907\) 0.884233 11.7993i 0.0293605 0.391788i −0.963093 0.269168i \(-0.913251\pi\)
0.992454 0.122620i \(-0.0391297\pi\)
\(908\) −63.2496 79.3125i −2.09901 2.63208i
\(909\) 14.0235 23.2459i 0.465129 0.771018i
\(910\) 87.1507 36.0533i 2.88902 1.19516i
\(911\) −49.5082 + 19.4305i −1.64028 + 0.643762i −0.992959 0.118457i \(-0.962205\pi\)
−0.647319 + 0.762219i \(0.724110\pi\)
\(912\) 83.6925 + 7.08124i 2.77134 + 0.234483i
\(913\) −12.2043 + 7.04615i −0.403903 + 0.233193i
\(914\) 9.47630 62.8711i 0.313448 2.07959i
\(915\) 38.1264 8.31747i 1.26042 0.274967i
\(916\) −93.0161 6.97059i −3.07334 0.230315i
\(917\) 23.7208 26.5196i 0.783329 0.875756i
\(918\) −35.7978 + 12.8717i −1.18150 + 0.424828i
\(919\) −19.6946 + 24.6963i −0.649666 + 0.814656i −0.992174 0.124859i \(-0.960152\pi\)
0.342508 + 0.939515i \(0.388724\pi\)
\(920\) −6.27304 + 4.27689i −0.206816 + 0.141005i
\(921\) 10.8286 2.36231i 0.356814 0.0778409i
\(922\) −19.5436 + 28.6652i −0.643635 + 0.944039i
\(923\) −32.0011 + 29.6927i −1.05333 + 0.977346i
\(924\) −93.8130 13.3119i −3.08622 0.437928i
\(925\) 3.92408 + 3.64102i 0.129023 + 0.119716i
\(926\) −79.9845 + 18.2559i −2.62845 + 0.599928i
\(927\) −11.9521 + 6.59761i −0.392559 + 0.216694i
\(928\) −27.2913 119.571i −0.895882 3.92512i
\(929\) 7.40816 5.05080i 0.243054 0.165711i −0.435666 0.900108i \(-0.643487\pi\)
0.678720 + 0.734397i \(0.262535\pi\)
\(930\) −16.0075 11.1405i −0.524907 0.365313i
\(931\) −19.7171 10.4434i −0.646202 0.342269i
\(932\) −2.08382 + 1.20309i −0.0682576 + 0.0394086i
\(933\) 6.39337 + 11.3235i 0.209309 + 0.370716i
\(934\) 8.62930 27.9755i 0.282359 0.915386i
\(935\) −24.9302 + 19.8812i −0.815306 + 0.650185i
\(936\) −6.55251 117.769i −0.214175 3.84940i
\(937\) 18.3532 + 4.18899i 0.599572 + 0.136848i 0.511526 0.859268i \(-0.329080\pi\)
0.0880465 + 0.996116i \(0.471938\pi\)
\(938\) 6.91425 + 74.0907i 0.225758 + 2.41915i
\(939\) −6.54342 46.4362i −0.213537 1.51539i
\(940\) 69.2309 + 47.2008i 2.25806 + 1.53952i
\(941\) −5.73706 + 1.76965i −0.187023 + 0.0576889i −0.386852 0.922142i \(-0.626438\pi\)
0.199829 + 0.979831i \(0.435961\pi\)
\(942\) 37.7645 + 0.362900i 1.23043 + 0.0118239i
\(943\) −1.27122 + 0.498916i −0.0413965 + 0.0162469i
\(944\) −30.2187 14.5526i −0.983536 0.473646i
\(945\) −6.03854 43.1551i −0.196434 1.40383i
\(946\) −76.2836 + 36.7363i −2.48020 + 1.19440i
\(947\) −4.85236 + 5.22960i −0.157680 + 0.169939i −0.806951 0.590618i \(-0.798884\pi\)
0.649270 + 0.760558i \(0.275074\pi\)
\(948\) −20.0904 + 84.2805i −0.652507 + 2.73730i
\(949\) −21.0506 36.4607i −0.683332 1.18356i
\(950\) 22.0207 + 38.1410i 0.714447 + 1.23746i
\(951\) 16.7124 17.6681i 0.541936 0.572927i
\(952\) −6.29202 67.4231i −0.203925 2.18520i
\(953\) −20.1991 + 16.1083i −0.654313 + 0.521797i −0.893435 0.449192i \(-0.851712\pi\)
0.239122 + 0.970990i \(0.423140\pi\)
\(954\) −52.3000 + 86.6947i −1.69327 + 2.80685i
\(955\) −19.6610 40.8264i −0.636214 1.32111i
\(956\) 117.572 + 8.81081i 3.80255 + 0.284962i
\(957\) −2.31289 35.4286i −0.0747651 1.14524i
\(958\) 32.1801 + 12.6298i 1.03969 + 0.408049i
\(959\) 6.39145 30.5638i 0.206391 0.986957i
\(960\) −164.168 + 48.9166i −5.29850 + 1.57877i
\(961\) −14.6582 + 25.3888i −0.472847 + 0.818994i
\(962\) −11.9292 −0.384614
\(963\) 7.50532 1.56193i 0.241856 0.0503325i
\(964\) 54.1069 + 12.3496i 1.74267 + 0.397752i
\(965\) −0.873013 + 11.6496i −0.0281033 + 0.375012i
\(966\) 0.441115 3.10868i 0.0141927 0.100020i
\(967\) 2.48170 + 33.1160i 0.0798061 + 1.06494i 0.883047 + 0.469284i \(0.155488\pi\)
−0.803241 + 0.595654i \(0.796893\pi\)
\(968\) −4.49930 + 29.8509i −0.144613 + 0.959444i
\(969\) −0.141856 + 14.7620i −0.00455708 + 0.474224i
\(970\) −49.1716 45.6246i −1.57881 1.46492i
\(971\) −0.597729 + 0.287851i −0.0191820 + 0.00923758i −0.443450 0.896299i \(-0.646246\pi\)
0.424268 + 0.905537i \(0.360531\pi\)
\(972\) −84.0056 16.8230i −2.69448 0.539598i
\(973\) −7.74194 2.23417i −0.248195 0.0716242i
\(974\) 20.8934 22.5177i 0.669468 0.721515i
\(975\) 28.2863 22.1163i 0.905887 0.708288i
\(976\) 100.664 + 39.5076i 3.22217 + 1.26461i
\(977\) 34.4845 + 37.1655i 1.10326 + 1.18903i 0.980485 + 0.196594i \(0.0629881\pi\)
0.122773 + 0.992435i \(0.460821\pi\)
\(978\) −17.3443 10.2372i −0.554611 0.327350i
\(979\) 25.1774 + 14.5362i 0.804673 + 0.464578i
\(980\) 121.163 + 13.7617i 3.87040 + 0.439601i
\(981\) −8.71584 + 10.5085i −0.278275 + 0.335511i
\(982\) 101.194 + 48.7325i 3.22923 + 1.55512i
\(983\) 5.98602 + 1.84644i 0.190924 + 0.0588924i 0.388743 0.921346i \(-0.372909\pi\)
−0.197818 + 0.980239i \(0.563386\pi\)
\(984\) −90.2742 + 5.89338i −2.87784 + 0.187874i
\(985\) −38.8290 41.8477i −1.23719 1.33338i
\(986\) 38.1170 11.7575i 1.21389 0.374436i
\(987\) −21.4461 + 5.09033i −0.682637 + 0.162027i
\(988\) −68.7623 21.2104i −2.18762 0.674792i
\(989\) −0.892533 1.85336i −0.0283809 0.0589336i
\(990\) −97.1143 + 12.7341i −3.08650 + 0.404717i
\(991\) −39.2482 18.9009i −1.24676 0.600408i −0.310119 0.950698i \(-0.600369\pi\)
−0.936642 + 0.350289i \(0.886083\pi\)
\(992\) −10.6704 27.1878i −0.338786 0.863214i
\(993\) −26.2323 + 44.4439i −0.832457 + 1.41038i
\(994\) −74.7271 + 18.4971i −2.37020 + 0.586693i
\(995\) 48.4969 71.1319i 1.53746 2.25503i
\(996\) −7.60006 34.8378i −0.240817 1.10388i
\(997\) −0.680145 + 0.266937i −0.0215404 + 0.00845398i −0.376087 0.926584i \(-0.622731\pi\)
0.354546 + 0.935038i \(0.384635\pi\)
\(998\) 79.6678i 2.52184i
\(999\) −1.38082 + 5.33585i −0.0436874 + 0.168819i
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 441.2.bh.a.20.1 648
9.5 odd 6 inner 441.2.bh.a.167.1 yes 648
49.27 odd 14 inner 441.2.bh.a.272.1 yes 648
441.419 even 42 inner 441.2.bh.a.419.1 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.bh.a.20.1 648 1.1 even 1 trivial
441.2.bh.a.167.1 yes 648 9.5 odd 6 inner
441.2.bh.a.272.1 yes 648 49.27 odd 14 inner
441.2.bh.a.419.1 yes 648 441.419 even 42 inner