Properties

Label 280.2.br.a.107.34
Level $280$
Weight $2$
Character 280.107
Analytic conductor $2.236$
Analytic rank $0$
Dimension $176$
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] = [280,2,Mod(67,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.br (of order \(12\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(44\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 107.34
Character \(\chi\) \(=\) 280.107
Dual form 280.2.br.a.123.34

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.949136 - 1.04840i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(-0.198283 - 1.99015i) q^{4} +(-2.11588 - 0.723237i) q^{5} +(0.439157 - 0.283504i) q^{6} +(1.60674 - 2.10200i) q^{7} +(-2.27467 - 1.68104i) q^{8} +(-2.47976 - 1.43169i) q^{9} +O(q^{10})\) \(q+(0.949136 - 1.04840i) q^{2} +(0.357022 + 0.0956638i) q^{3} +(-0.198283 - 1.99015i) q^{4} +(-2.11588 - 0.723237i) q^{5} +(0.439157 - 0.283504i) q^{6} +(1.60674 - 2.10200i) q^{7} +(-2.27467 - 1.68104i) q^{8} +(-2.47976 - 1.43169i) q^{9} +(-2.76649 + 1.53183i) q^{10} +(-0.466681 - 0.808315i) q^{11} +(0.119594 - 0.729495i) q^{12} +(4.27704 + 4.27704i) q^{13} +(-0.678723 - 3.67958i) q^{14} +(-0.686227 - 0.460624i) q^{15} +(-3.92137 + 0.789223i) q^{16} +(1.52523 - 5.69224i) q^{17} +(-3.85462 + 1.24091i) q^{18} +(4.55363 + 2.62904i) q^{19} +(-1.01981 + 4.35431i) q^{20} +(0.774726 - 0.596754i) q^{21} +(-1.29038 - 0.277933i) q^{22} +(-2.48608 + 0.666144i) q^{23} +(-0.651292 - 0.817772i) q^{24} +(3.95386 + 3.06056i) q^{25} +(8.54355 - 0.424555i) q^{26} +(-1.53244 - 1.53244i) q^{27} +(-4.50187 - 2.78085i) q^{28} +5.15709 q^{29} +(-1.13424 + 0.282245i) q^{30} +(-1.23225 + 0.711441i) q^{31} +(-2.89449 + 4.86024i) q^{32} +(-0.0892890 - 0.333231i) q^{33} +(-4.52009 - 7.00176i) q^{34} +(-4.91990 + 3.28552i) q^{35} +(-2.35758 + 5.21897i) q^{36} +(0.432338 + 1.61351i) q^{37} +(7.07830 - 2.27871i) q^{38} +(1.11784 + 1.93616i) q^{39} +(3.59712 + 5.20199i) q^{40} +6.12368 q^{41} +(0.109684 - 1.37862i) q^{42} +(-7.08536 + 7.08536i) q^{43} +(-1.51613 + 1.08904i) q^{44} +(4.21142 + 4.82274i) q^{45} +(-1.66124 + 3.23867i) q^{46} +(2.45559 + 9.16440i) q^{47} +(-1.47552 - 0.0933627i) q^{48} +(-1.83680 - 6.75472i) q^{49} +(6.96143 - 1.24033i) q^{50} +(1.08908 - 1.88635i) q^{51} +(7.66388 - 9.36001i) q^{52} +(2.06081 - 7.69103i) q^{53} +(-3.06111 + 0.152116i) q^{54} +(0.402835 + 2.04782i) q^{55} +(-7.18833 + 2.08036i) q^{56} +(1.37424 + 1.37424i) q^{57} +(4.89478 - 5.40669i) q^{58} +(0.873827 - 0.504505i) q^{59} +(-0.780643 + 1.45703i) q^{60} +(2.84724 + 1.64386i) q^{61} +(-0.423700 + 1.96715i) q^{62} +(-6.99374 + 2.91211i) q^{63} +(2.34821 + 7.64761i) q^{64} +(-5.95638 - 12.1430i) q^{65} +(-0.434107 - 0.222671i) q^{66} +(0.526202 - 1.96381i) q^{67} +(-11.6308 - 1.90676i) q^{68} -0.951312 q^{69} +(-1.22512 + 8.27642i) q^{70} -12.5416i q^{71} +(3.23390 + 7.42520i) q^{72} +(-3.20705 - 0.859326i) q^{73} +(2.10195 + 1.07818i) q^{74} +(1.11883 + 1.47093i) q^{75} +(4.32927 - 9.58369i) q^{76} +(-2.44891 - 0.317787i) q^{77} +(3.09085 + 0.665733i) q^{78} +(2.02447 - 3.50648i) q^{79} +(8.86792 + 1.16618i) q^{80} +(3.89456 + 6.74557i) q^{81} +(5.81220 - 6.42006i) q^{82} +(-9.21676 + 9.21676i) q^{83} +(-1.34124 - 1.42349i) q^{84} +(-7.34403 + 10.9410i) q^{85} +(0.703319 + 14.1532i) q^{86} +(1.84120 + 0.493347i) q^{87} +(-0.297267 + 2.62316i) q^{88} +(10.3405 + 5.97011i) q^{89} +(9.05336 + 0.162186i) q^{90} +(15.8624 - 2.11826i) q^{91} +(1.81867 + 4.81558i) q^{92} +(-0.508001 + 0.136118i) q^{93} +(11.9386 + 6.12382i) q^{94} +(-7.73350 - 8.85608i) q^{95} +(-1.49835 + 1.45832i) q^{96} +(-4.41264 - 4.41264i) q^{97} +(-8.82501 - 4.48545i) q^{98} +2.67257i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.949136 1.04840i 0.671140 0.741330i
\(3\) 0.357022 + 0.0956638i 0.206127 + 0.0552315i 0.360405 0.932796i \(-0.382638\pi\)
−0.154278 + 0.988027i \(0.549305\pi\)
\(4\) −0.198283 1.99015i −0.0991414 0.995073i
\(5\) −2.11588 0.723237i −0.946248 0.323441i
\(6\) 0.439157 0.283504i 0.179285 0.115740i
\(7\) 1.60674 2.10200i 0.607289 0.794481i
\(8\) −2.27467 1.68104i −0.804216 0.594337i
\(9\) −2.47976 1.43169i −0.826588 0.477231i
\(10\) −2.76649 + 1.53183i −0.874842 + 0.484408i
\(11\) −0.466681 0.808315i −0.140710 0.243716i 0.787054 0.616884i \(-0.211605\pi\)
−0.927764 + 0.373167i \(0.878272\pi\)
\(12\) 0.119594 0.729495i 0.0345237 0.210587i
\(13\) 4.27704 + 4.27704i 1.18624 + 1.18624i 0.978099 + 0.208140i \(0.0667408\pi\)
0.208140 + 0.978099i \(0.433259\pi\)
\(14\) −0.678723 3.67958i −0.181396 0.983410i
\(15\) −0.686227 0.460624i −0.177183 0.118933i
\(16\) −3.92137 + 0.789223i −0.980342 + 0.197306i
\(17\) 1.52523 5.69224i 0.369923 1.38057i −0.490701 0.871328i \(-0.663259\pi\)
0.860623 0.509242i \(-0.170074\pi\)
\(18\) −3.85462 + 1.24091i −0.908542 + 0.292486i
\(19\) 4.55363 + 2.62904i 1.04467 + 0.603143i 0.921154 0.389199i \(-0.127248\pi\)
0.123521 + 0.992342i \(0.460581\pi\)
\(20\) −1.01981 + 4.35431i −0.228036 + 0.973653i
\(21\) 0.774726 0.596754i 0.169059 0.130222i
\(22\) −1.29038 0.277933i −0.275110 0.0592555i
\(23\) −2.48608 + 0.666144i −0.518384 + 0.138901i −0.508519 0.861051i \(-0.669807\pi\)
−0.00986492 + 0.999951i \(0.503140\pi\)
\(24\) −0.651292 0.817772i −0.132944 0.166927i
\(25\) 3.95386 + 3.06056i 0.790771 + 0.612112i
\(26\) 8.54355 0.424555i 1.67553 0.0832621i
\(27\) −1.53244 1.53244i −0.294919 0.294919i
\(28\) −4.50187 2.78085i −0.850774 0.525532i
\(29\) 5.15709 0.957648 0.478824 0.877911i \(-0.341063\pi\)
0.478824 + 0.877911i \(0.341063\pi\)
\(30\) −1.13424 + 0.282245i −0.207083 + 0.0515306i
\(31\) −1.23225 + 0.711441i −0.221319 + 0.127779i −0.606561 0.795037i \(-0.707451\pi\)
0.385242 + 0.922816i \(0.374118\pi\)
\(32\) −2.89449 + 4.86024i −0.511678 + 0.859177i
\(33\) −0.0892890 0.333231i −0.0155432 0.0580081i
\(34\) −4.52009 7.00176i −0.775189 1.20079i
\(35\) −4.91990 + 3.28552i −0.831614 + 0.555353i
\(36\) −2.35758 + 5.21897i −0.392930 + 0.869829i
\(37\) 0.432338 + 1.61351i 0.0710760 + 0.265259i 0.992315 0.123738i \(-0.0394882\pi\)
−0.921239 + 0.388997i \(0.872822\pi\)
\(38\) 7.07830 2.27871i 1.14825 0.369655i
\(39\) 1.11784 + 1.93616i 0.178998 + 0.310033i
\(40\) 3.59712 + 5.20199i 0.568754 + 0.822507i
\(41\) 6.12368 0.956358 0.478179 0.878262i \(-0.341297\pi\)
0.478179 + 0.878262i \(0.341297\pi\)
\(42\) 0.109684 1.37862i 0.0169246 0.212726i
\(43\) −7.08536 + 7.08536i −1.08051 + 1.08051i −0.0840448 + 0.996462i \(0.526784\pi\)
−0.996462 + 0.0840448i \(0.973216\pi\)
\(44\) −1.51613 + 1.08904i −0.228565 + 0.164179i
\(45\) 4.21142 + 4.82274i 0.627801 + 0.718931i
\(46\) −1.66124 + 3.23867i −0.244937 + 0.477515i
\(47\) 2.45559 + 9.16440i 0.358185 + 1.33677i 0.876429 + 0.481532i \(0.159919\pi\)
−0.518243 + 0.855233i \(0.673414\pi\)
\(48\) −1.47552 0.0933627i −0.212972 0.0134758i
\(49\) −1.83680 6.75472i −0.262399 0.964959i
\(50\) 6.96143 1.24033i 0.984496 0.175410i
\(51\) 1.08908 1.88635i 0.152502 0.264141i
\(52\) 7.66388 9.36001i 1.06279 1.29800i
\(53\) 2.06081 7.69103i 0.283073 1.05644i −0.667162 0.744912i \(-0.732491\pi\)
0.950236 0.311532i \(-0.100842\pi\)
\(54\) −3.06111 + 0.152116i −0.416565 + 0.0207004i
\(55\) 0.402835 + 2.04782i 0.0543183 + 0.276127i
\(56\) −7.18833 + 2.08036i −0.960581 + 0.277999i
\(57\) 1.37424 + 1.37424i 0.182023 + 0.182023i
\(58\) 4.89478 5.40669i 0.642716 0.709933i
\(59\) 0.873827 0.504505i 0.113763 0.0656809i −0.442039 0.896996i \(-0.645745\pi\)
0.555802 + 0.831315i \(0.312411\pi\)
\(60\) −0.780643 + 1.45703i −0.100781 + 0.188101i
\(61\) 2.84724 + 1.64386i 0.364552 + 0.210474i 0.671076 0.741389i \(-0.265832\pi\)
−0.306524 + 0.951863i \(0.599166\pi\)
\(62\) −0.423700 + 1.96715i −0.0538100 + 0.249828i
\(63\) −6.99374 + 2.91211i −0.881128 + 0.366891i
\(64\) 2.34821 + 7.64761i 0.293526 + 0.955951i
\(65\) −5.95638 12.1430i −0.738797 1.50615i
\(66\) −0.434107 0.222671i −0.0534348 0.0274089i
\(67\) 0.526202 1.96381i 0.0642859 0.239918i −0.926305 0.376774i \(-0.877033\pi\)
0.990591 + 0.136856i \(0.0436999\pi\)
\(68\) −11.6308 1.90676i −1.41044 0.231229i
\(69\) −0.951312 −0.114525
\(70\) −1.22512 + 8.27642i −0.146430 + 0.989221i
\(71\) 12.5416i 1.48841i −0.667950 0.744206i \(-0.732828\pi\)
0.667950 0.744206i \(-0.267172\pi\)
\(72\) 3.23390 + 7.42520i 0.381119 + 0.875068i
\(73\) −3.20705 0.859326i −0.375356 0.100576i 0.0662084 0.997806i \(-0.478910\pi\)
−0.441565 + 0.897229i \(0.645576\pi\)
\(74\) 2.10195 + 1.07818i 0.244347 + 0.125335i
\(75\) 1.11883 + 1.47093i 0.129191 + 0.169848i
\(76\) 4.32927 9.58369i 0.496601 1.09932i
\(77\) −2.44891 0.317787i −0.279079 0.0362152i
\(78\) 3.09085 + 0.665733i 0.349970 + 0.0753794i
\(79\) 2.02447 3.50648i 0.227770 0.394510i −0.729377 0.684112i \(-0.760190\pi\)
0.957147 + 0.289603i \(0.0935231\pi\)
\(80\) 8.86792 + 1.16618i 0.991464 + 0.130383i
\(81\) 3.89456 + 6.74557i 0.432729 + 0.749508i
\(82\) 5.81220 6.42006i 0.641851 0.708977i
\(83\) −9.21676 + 9.21676i −1.01167 + 1.01167i −0.0117394 + 0.999931i \(0.503737\pi\)
−0.999931 + 0.0117394i \(0.996263\pi\)
\(84\) −1.34124 1.42349i −0.146342 0.155316i
\(85\) −7.34403 + 10.9410i −0.796572 + 1.18671i
\(86\) 0.703319 + 14.1532i 0.0758408 + 1.52618i
\(87\) 1.84120 + 0.493347i 0.197397 + 0.0528924i
\(88\) −0.297267 + 2.62316i −0.0316888 + 0.279630i
\(89\) 10.3405 + 5.97011i 1.09609 + 0.632831i 0.935192 0.354140i \(-0.115226\pi\)
0.160902 + 0.986970i \(0.448560\pi\)
\(90\) 9.05336 + 0.162186i 0.954308 + 0.0170959i
\(91\) 15.8624 2.11826i 1.66283 0.222054i
\(92\) 1.81867 + 4.81558i 0.189610 + 0.502059i
\(93\) −0.508001 + 0.136118i −0.0526772 + 0.0141148i
\(94\) 11.9386 + 6.12382i 1.23138 + 0.631623i
\(95\) −7.73350 8.85608i −0.793440 0.908614i
\(96\) −1.49835 + 1.45832i −0.152924 + 0.148839i
\(97\) −4.41264 4.41264i −0.448035 0.448035i 0.446666 0.894701i \(-0.352611\pi\)
−0.894701 + 0.446666i \(0.852611\pi\)
\(98\) −8.82501 4.48545i −0.891460 0.453099i
\(99\) 2.67257i 0.268604i
\(100\) 5.30698 8.47561i 0.530698 0.847561i
\(101\) −1.30911 + 0.755818i −0.130262 + 0.0752067i −0.563715 0.825969i \(-0.690628\pi\)
0.433453 + 0.901176i \(0.357295\pi\)
\(102\) −0.943957 2.93219i −0.0934657 0.290330i
\(103\) 4.45140 1.19275i 0.438609 0.117525i −0.0327554 0.999463i \(-0.510428\pi\)
0.471365 + 0.881938i \(0.343762\pi\)
\(104\) −2.53896 16.9187i −0.248966 1.65902i
\(105\) −2.07082 + 0.702346i −0.202091 + 0.0685419i
\(106\) −6.10729 9.46038i −0.593192 0.918873i
\(107\) −12.1549 + 3.25690i −1.17506 + 0.314856i −0.792965 0.609267i \(-0.791464\pi\)
−0.382095 + 0.924123i \(0.624797\pi\)
\(108\) −2.74593 + 3.35365i −0.264227 + 0.322705i
\(109\) 2.15167 + 3.72680i 0.206092 + 0.356962i 0.950480 0.310785i \(-0.100592\pi\)
−0.744388 + 0.667747i \(0.767259\pi\)
\(110\) 2.52927 + 1.52132i 0.241157 + 0.145052i
\(111\) 0.617418i 0.0586027i
\(112\) −4.64166 + 9.51078i −0.438596 + 0.898685i
\(113\) −3.26855 + 3.26855i −0.307479 + 0.307479i −0.843931 0.536452i \(-0.819764\pi\)
0.536452 + 0.843931i \(0.319764\pi\)
\(114\) 2.74510 0.136413i 0.257102 0.0127762i
\(115\) 5.74202 + 0.388550i 0.535446 + 0.0362325i
\(116\) −1.02256 10.2634i −0.0949425 0.952930i
\(117\) −4.48265 16.7295i −0.414421 1.54664i
\(118\) 0.300459 1.39496i 0.0276595 0.128417i
\(119\) −9.51443 12.3520i −0.872186 1.13230i
\(120\) 0.786609 + 2.20134i 0.0718072 + 0.200954i
\(121\) 5.06442 8.77183i 0.460402 0.797439i
\(122\) 4.42584 1.42481i 0.400697 0.128996i
\(123\) 2.18629 + 0.585815i 0.197131 + 0.0528211i
\(124\) 1.66021 + 2.31130i 0.149091 + 0.207561i
\(125\) −6.15236 9.33534i −0.550283 0.834978i
\(126\) −3.58496 + 10.0962i −0.319373 + 0.899442i
\(127\) −5.01136 + 5.01136i −0.444686 + 0.444686i −0.893583 0.448897i \(-0.851817\pi\)
0.448897 + 0.893583i \(0.351817\pi\)
\(128\) 10.2465 + 4.79676i 0.905673 + 0.423977i
\(129\) −3.20744 + 1.85182i −0.282400 + 0.163043i
\(130\) −18.3841 5.28070i −1.61240 0.463148i
\(131\) −2.74939 + 4.76208i −0.240215 + 0.416065i −0.960775 0.277327i \(-0.910551\pi\)
0.720560 + 0.693392i \(0.243885\pi\)
\(132\) −0.645474 + 0.243772i −0.0561813 + 0.0212176i
\(133\) 12.8427 5.34755i 1.11361 0.463691i
\(134\) −1.55942 2.41560i −0.134714 0.208676i
\(135\) 2.13414 + 4.35078i 0.183678 + 0.374456i
\(136\) −13.0383 + 10.3840i −1.11802 + 0.890418i
\(137\) 0.307968 1.14935i 0.0263115 0.0981959i −0.951521 0.307582i \(-0.900480\pi\)
0.977833 + 0.209387i \(0.0671467\pi\)
\(138\) −0.902925 + 0.997355i −0.0768620 + 0.0849005i
\(139\) 7.23581i 0.613734i 0.951752 + 0.306867i \(0.0992806\pi\)
−0.951752 + 0.306867i \(0.900719\pi\)
\(140\) 7.51419 + 9.13986i 0.635065 + 0.772459i
\(141\) 3.50681i 0.295326i
\(142\) −13.1486 11.9037i −1.10340 0.998933i
\(143\) 1.46119 5.45322i 0.122190 0.456021i
\(144\) 10.8540 + 3.65710i 0.904499 + 0.304759i
\(145\) −10.9118 3.72980i −0.906172 0.309743i
\(146\) −3.94484 + 2.54665i −0.326477 + 0.210762i
\(147\) −0.00959489 2.58730i −0.000791373 0.213397i
\(148\) 3.12539 1.18035i 0.256906 0.0970240i
\(149\) −1.62968 + 2.82269i −0.133509 + 0.231244i −0.925027 0.379902i \(-0.875958\pi\)
0.791518 + 0.611146i \(0.209291\pi\)
\(150\) 2.60404 + 0.223130i 0.212619 + 0.0182185i
\(151\) −15.5929 + 9.00258i −1.26893 + 0.732620i −0.974786 0.223140i \(-0.928369\pi\)
−0.294148 + 0.955760i \(0.595036\pi\)
\(152\) −5.93847 13.6350i −0.481673 1.10595i
\(153\) −11.9317 + 11.9317i −0.964624 + 0.964624i
\(154\) −2.65752 + 2.26581i −0.214149 + 0.182585i
\(155\) 3.12183 0.614110i 0.250752 0.0493265i
\(156\) 3.63159 2.60858i 0.290760 0.208853i
\(157\) −16.5963 4.44696i −1.32453 0.354906i −0.473856 0.880603i \(-0.657138\pi\)
−0.850672 + 0.525696i \(0.823805\pi\)
\(158\) −1.75470 5.45058i −0.139596 0.433625i
\(159\) 1.47151 2.54872i 0.116698 0.202127i
\(160\) 9.63948 8.19026i 0.762068 0.647497i
\(161\) −2.59425 + 6.29606i −0.204455 + 0.496199i
\(162\) 10.7685 + 2.31941i 0.846055 + 0.182230i
\(163\) −6.27040 23.4014i −0.491135 1.83294i −0.550680 0.834717i \(-0.685631\pi\)
0.0595442 0.998226i \(-0.481035\pi\)
\(164\) −1.21422 12.1870i −0.0948147 0.951647i
\(165\) −0.0520807 + 0.769653i −0.00405448 + 0.0599174i
\(166\) 0.914889 + 18.4108i 0.0710092 + 1.42895i
\(167\) 0.324222 0.324222i 0.0250891 0.0250891i −0.694451 0.719540i \(-0.744353\pi\)
0.719540 + 0.694451i \(0.244353\pi\)
\(168\) −2.76541 + 0.0550701i −0.213356 + 0.00424875i
\(169\) 23.5862i 1.81432i
\(170\) 4.50001 + 18.0839i 0.345135 + 1.38697i
\(171\) −7.52795 13.0388i −0.575677 0.997101i
\(172\) 15.5058 + 12.6960i 1.18231 + 0.968061i
\(173\) −11.2669 + 3.01895i −0.856605 + 0.229526i −0.660287 0.751014i \(-0.729565\pi\)
−0.196318 + 0.980540i \(0.562898\pi\)
\(174\) 2.26477 1.46206i 0.171692 0.110838i
\(175\) 12.7861 3.39349i 0.966538 0.256524i
\(176\) 2.46797 + 2.80139i 0.186030 + 0.211162i
\(177\) 0.360239 0.0965257i 0.0270772 0.00725531i
\(178\) 16.0736 5.17457i 1.20477 0.387850i
\(179\) 8.91929 5.14955i 0.666659 0.384896i −0.128151 0.991755i \(-0.540904\pi\)
0.794810 + 0.606859i \(0.207571\pi\)
\(180\) 8.76290 9.33760i 0.653148 0.695984i
\(181\) 4.32971i 0.321825i −0.986969 0.160912i \(-0.948556\pi\)
0.986969 0.160912i \(-0.0514436\pi\)
\(182\) 12.8348 18.6407i 0.951380 1.38174i
\(183\) 0.859272 + 0.859272i 0.0635192 + 0.0635192i
\(184\) 6.77482 + 2.66395i 0.499446 + 0.196389i
\(185\) 0.252175 3.72667i 0.0185403 0.273990i
\(186\) −0.339455 + 0.661783i −0.0248901 + 0.0485243i
\(187\) −5.31292 + 1.42359i −0.388519 + 0.104103i
\(188\) 17.7516 6.70413i 1.29467 0.488949i
\(189\) −5.68343 + 0.758962i −0.413409 + 0.0552063i
\(190\) −16.6248 0.297825i −1.20609 0.0216065i
\(191\) −18.9512 10.9415i −1.37126 0.791696i −0.380171 0.924916i \(-0.624135\pi\)
−0.991086 + 0.133221i \(0.957468\pi\)
\(192\) 0.106764 + 2.95501i 0.00770501 + 0.213259i
\(193\) 21.2377 + 5.69064i 1.52873 + 0.409621i 0.922603 0.385750i \(-0.126057\pi\)
0.606123 + 0.795371i \(0.292724\pi\)
\(194\) −8.81440 + 0.438015i −0.632837 + 0.0314476i
\(195\) −0.964912 4.90513i −0.0690988 0.351264i
\(196\) −13.0787 + 4.99484i −0.934191 + 0.356774i
\(197\) −0.857585 + 0.857585i −0.0611004 + 0.0611004i −0.736997 0.675896i \(-0.763757\pi\)
0.675896 + 0.736997i \(0.263757\pi\)
\(198\) 2.80193 + 2.53664i 0.199124 + 0.180271i
\(199\) 4.95165 + 8.57652i 0.351013 + 0.607973i 0.986427 0.164199i \(-0.0525038\pi\)
−0.635414 + 0.772172i \(0.719170\pi\)
\(200\) −3.84878 13.6083i −0.272150 0.962255i
\(201\) 0.375732 0.650787i 0.0265021 0.0459030i
\(202\) −0.450129 + 2.08985i −0.0316709 + 0.147041i
\(203\) 8.28609 10.8402i 0.581569 0.760833i
\(204\) −3.97005 1.79340i −0.277959 0.125563i
\(205\) −12.9569 4.42887i −0.904952 0.309326i
\(206\) 2.97450 5.79892i 0.207243 0.404030i
\(207\) 7.11861 + 1.90742i 0.494777 + 0.132575i
\(208\) −20.1474 13.3963i −1.39697 0.928868i
\(209\) 4.90769i 0.339472i
\(210\) −1.22915 + 2.83767i −0.0848193 + 0.195818i
\(211\) 18.4290 1.26871 0.634354 0.773043i \(-0.281266\pi\)
0.634354 + 0.773043i \(0.281266\pi\)
\(212\) −15.7149 2.57631i −1.07930 0.176941i
\(213\) 1.19978 4.47762i 0.0822073 0.306802i
\(214\) −8.12213 + 15.8344i −0.555217 + 1.08242i
\(215\) 20.1161 9.86734i 1.37191 0.672947i
\(216\) 0.909699 + 6.06190i 0.0618972 + 0.412460i
\(217\) −0.484457 + 3.73329i −0.0328871 + 0.253432i
\(218\) 5.94939 + 1.28143i 0.402944 + 0.0867893i
\(219\) −1.06278 0.613597i −0.0718161 0.0414630i
\(220\) 3.99558 1.20775i 0.269382 0.0814264i
\(221\) 30.8694 17.8225i 2.07650 1.19887i
\(222\) 0.647300 + 0.586013i 0.0434440 + 0.0393306i
\(223\) 15.5226 + 15.5226i 1.03947 + 1.03947i 0.999188 + 0.0402785i \(0.0128245\pi\)
0.0402785 + 0.999188i \(0.487175\pi\)
\(224\) 5.56554 + 13.8933i 0.371863 + 0.928288i
\(225\) −5.42285 13.2502i −0.361523 0.883344i
\(226\) 0.324448 + 6.52904i 0.0215820 + 0.434305i
\(227\) −5.45937 + 20.3746i −0.362351 + 1.35231i 0.508625 + 0.860988i \(0.330154\pi\)
−0.870977 + 0.491325i \(0.836513\pi\)
\(228\) 2.46246 3.00744i 0.163080 0.199172i
\(229\) −5.62790 + 9.74781i −0.371902 + 0.644153i −0.989858 0.142059i \(-0.954628\pi\)
0.617956 + 0.786213i \(0.287961\pi\)
\(230\) 5.85731 5.65114i 0.386220 0.372625i
\(231\) −0.843915 0.347729i −0.0555255 0.0228789i
\(232\) −11.7307 8.66928i −0.770155 0.569166i
\(233\) 4.07176 + 15.1960i 0.266750 + 0.995523i 0.961171 + 0.275954i \(0.0889938\pi\)
−0.694421 + 0.719569i \(0.744340\pi\)
\(234\) −21.7938 11.1789i −1.42471 0.730789i
\(235\) 1.43230 21.1667i 0.0934332 1.38076i
\(236\) −1.17730 1.63901i −0.0766359 0.106690i
\(237\) 1.05822 1.05822i 0.0687390 0.0687390i
\(238\) −21.9803 1.74876i −1.42477 0.113355i
\(239\) 13.7719 0.890831 0.445415 0.895324i \(-0.353056\pi\)
0.445415 + 0.895324i \(0.353056\pi\)
\(240\) 3.05448 + 1.26469i 0.197166 + 0.0816355i
\(241\) −0.456648 0.790937i −0.0294153 0.0509487i 0.850943 0.525258i \(-0.176031\pi\)
−0.880358 + 0.474309i \(0.842698\pi\)
\(242\) −4.38956 13.6352i −0.282172 0.876503i
\(243\) 2.42788 + 9.06096i 0.155748 + 0.581261i
\(244\) 2.70696 5.99238i 0.173295 0.383623i
\(245\) −0.998831 + 15.6206i −0.0638130 + 0.997962i
\(246\) 2.68925 1.73609i 0.171461 0.110689i
\(247\) 8.23156 + 30.7206i 0.523762 + 1.95471i
\(248\) 3.99892 + 0.453174i 0.253932 + 0.0287766i
\(249\) −4.17230 + 2.40888i −0.264409 + 0.152656i
\(250\) −15.6266 2.41037i −0.988312 0.152445i
\(251\) 0.192874 0.0121741 0.00608705 0.999981i \(-0.498062\pi\)
0.00608705 + 0.999981i \(0.498062\pi\)
\(252\) 7.18226 + 13.3411i 0.452440 + 0.840413i
\(253\) 1.69866 + 1.69866i 0.106794 + 0.106794i
\(254\) 0.497446 + 10.0104i 0.0312126 + 0.628106i
\(255\) −3.66864 + 3.20361i −0.229739 + 0.200618i
\(256\) 14.7543 6.18967i 0.922141 0.386854i
\(257\) 18.6795 5.00515i 1.16519 0.312213i 0.376156 0.926556i \(-0.377246\pi\)
0.789039 + 0.614343i \(0.210579\pi\)
\(258\) −1.10285 + 5.12031i −0.0686607 + 0.318776i
\(259\) 4.08625 + 1.68371i 0.253907 + 0.104621i
\(260\) −22.9853 + 14.2618i −1.42549 + 0.884480i
\(261\) −12.7884 7.38336i −0.791580 0.457019i
\(262\) 2.38302 + 7.40232i 0.147223 + 0.457317i
\(263\) −5.24206 + 19.5636i −0.323239 + 1.20635i 0.592831 + 0.805327i \(0.298010\pi\)
−0.916070 + 0.401018i \(0.868656\pi\)
\(264\) −0.357072 + 0.908088i −0.0219763 + 0.0558889i
\(265\) −9.92285 + 14.7828i −0.609556 + 0.908101i
\(266\) 6.58312 18.5399i 0.403637 1.13675i
\(267\) 3.12068 + 3.12068i 0.190982 + 0.190982i
\(268\) −4.01262 0.657830i −0.245110 0.0401833i
\(269\) 2.29596 + 3.97672i 0.139987 + 0.242465i 0.927491 0.373844i \(-0.121961\pi\)
−0.787504 + 0.616309i \(0.788627\pi\)
\(270\) 6.58695 + 1.89205i 0.400869 + 0.115147i
\(271\) 18.4195 + 10.6345i 1.11890 + 0.645999i 0.941121 0.338071i \(-0.109774\pi\)
0.177782 + 0.984070i \(0.443108\pi\)
\(272\) −1.48854 + 23.5251i −0.0902561 + 1.42642i
\(273\) 5.86588 + 0.761195i 0.355019 + 0.0460696i
\(274\) −0.912678 1.41377i −0.0551369 0.0854087i
\(275\) 0.628707 4.62427i 0.0379125 0.278854i
\(276\) 0.188629 + 1.89325i 0.0113541 + 0.113960i
\(277\) 15.4644 + 4.14367i 0.929164 + 0.248969i 0.691498 0.722378i \(-0.256951\pi\)
0.237666 + 0.971347i \(0.423618\pi\)
\(278\) 7.58602 + 6.86777i 0.454979 + 0.411901i
\(279\) 4.07426 0.243920
\(280\) 16.7142 + 0.797095i 0.998865 + 0.0476355i
\(281\) −18.0107 −1.07443 −0.537214 0.843446i \(-0.680523\pi\)
−0.537214 + 0.843446i \(0.680523\pi\)
\(282\) 3.67653 + 3.32844i 0.218934 + 0.198205i
\(283\) 3.61970 + 0.969897i 0.215169 + 0.0576544i 0.364793 0.931089i \(-0.381140\pi\)
−0.149624 + 0.988743i \(0.547806\pi\)
\(284\) −24.9596 + 2.48678i −1.48108 + 0.147563i
\(285\) −1.91382 3.90163i −0.113365 0.231113i
\(286\) −4.33029 6.70775i −0.256055 0.396638i
\(287\) 9.83914 12.8720i 0.580786 0.759808i
\(288\) 14.1360 7.90823i 0.832973 0.465997i
\(289\) −15.3528 8.86395i −0.903106 0.521409i
\(290\) −14.2671 + 7.89980i −0.837791 + 0.463892i
\(291\) −1.15328 1.99754i −0.0676065 0.117098i
\(292\) −1.07428 + 6.55288i −0.0628676 + 0.383478i
\(293\) 6.03311 + 6.03311i 0.352458 + 0.352458i 0.861023 0.508565i \(-0.169824\pi\)
−0.508565 + 0.861023i \(0.669824\pi\)
\(294\) −2.72163 2.44564i −0.158729 0.142633i
\(295\) −2.21379 + 0.435484i −0.128892 + 0.0253549i
\(296\) 1.72895 4.39697i 0.100493 0.255569i
\(297\) −0.523536 + 1.95386i −0.0303786 + 0.113375i
\(298\) 1.41252 + 4.38767i 0.0818250 + 0.254171i
\(299\) −13.4822 7.78396i −0.779696 0.450158i
\(300\) 2.70552 2.51830i 0.156203 0.145394i
\(301\) 3.50911 + 26.2777i 0.202262 + 1.51462i
\(302\) −5.36150 + 24.8923i −0.308520 + 1.43239i
\(303\) −0.539687 + 0.144609i −0.0310042 + 0.00830756i
\(304\) −19.9314 6.71560i −1.14314 0.385166i
\(305\) −4.83551 5.53743i −0.276881 0.317072i
\(306\) 1.18439 + 23.8341i 0.0677070 + 1.36250i
\(307\) −14.8970 14.8970i −0.850215 0.850215i 0.139944 0.990159i \(-0.455308\pi\)
−0.990159 + 0.139944i \(0.955308\pi\)
\(308\) −0.146866 + 4.93671i −0.00836845 + 0.281295i
\(309\) 1.70335 0.0969002
\(310\) 2.31921 3.85580i 0.131722 0.218995i
\(311\) 3.12920 1.80664i 0.177441 0.102445i −0.408649 0.912692i \(-0.634000\pi\)
0.586090 + 0.810246i \(0.300667\pi\)
\(312\) 0.712043 6.28325i 0.0403115 0.355719i
\(313\) 0.450144 + 1.67996i 0.0254437 + 0.0949570i 0.977480 0.211028i \(-0.0676810\pi\)
−0.952036 + 0.305985i \(0.901014\pi\)
\(314\) −20.4143 + 13.1788i −1.15205 + 0.743721i
\(315\) 16.9040 1.10352i 0.952434 0.0621764i
\(316\) −7.37983 3.33371i −0.415148 0.187536i
\(317\) 0.369498 + 1.37898i 0.0207531 + 0.0774515i 0.975526 0.219885i \(-0.0705683\pi\)
−0.954773 + 0.297337i \(0.903902\pi\)
\(318\) −1.27542 3.96181i −0.0715221 0.222167i
\(319\) −2.40672 4.16856i −0.134750 0.233394i
\(320\) 0.562515 17.8797i 0.0314455 0.999505i
\(321\) −4.65114 −0.259601
\(322\) 4.13849 + 8.69562i 0.230629 + 0.484588i
\(323\) 21.9105 21.9105i 1.21913 1.21913i
\(324\) 12.6525 9.08827i 0.702914 0.504904i
\(325\) 3.82067 + 30.0010i 0.211933 + 1.66415i
\(326\) −30.4855 15.6373i −1.68844 0.866068i
\(327\) 0.411673 + 1.53639i 0.0227656 + 0.0849623i
\(328\) −13.9293 10.2942i −0.769119 0.568399i
\(329\) 23.2090 + 9.56312i 1.27956 + 0.527232i
\(330\) 0.757472 + 0.785106i 0.0416974 + 0.0432187i
\(331\) 4.50741 7.80706i 0.247750 0.429115i −0.715152 0.698969i \(-0.753642\pi\)
0.962901 + 0.269855i \(0.0869757\pi\)
\(332\) 20.1702 + 16.5152i 1.10698 + 0.906388i
\(333\) 1.23795 4.62010i 0.0678393 0.253180i
\(334\) −0.0321835 0.647645i −0.00176100 0.0354376i
\(335\) −2.53368 + 3.77462i −0.138430 + 0.206229i
\(336\) −2.56701 + 2.95152i −0.140042 + 0.161019i
\(337\) −14.5042 14.5042i −0.790093 0.790093i 0.191416 0.981509i \(-0.438692\pi\)
−0.981509 + 0.191416i \(0.938692\pi\)
\(338\) 24.7278 + 22.3865i 1.34501 + 1.21767i
\(339\) −1.47963 + 0.854263i −0.0803623 + 0.0463972i
\(340\) 23.2303 + 12.4463i 1.25984 + 0.674996i
\(341\) 1.15014 + 0.664033i 0.0622835 + 0.0359594i
\(342\) −20.8149 4.48328i −1.12554 0.242428i
\(343\) −17.1496 6.99211i −0.925994 0.377538i
\(344\) 28.0276 4.20605i 1.51115 0.226775i
\(345\) 2.01286 + 0.688024i 0.108369 + 0.0370420i
\(346\) −7.52873 + 14.6776i −0.404747 + 0.789071i
\(347\) −4.33964 + 16.1957i −0.232964 + 0.869433i 0.746092 + 0.665842i \(0.231928\pi\)
−0.979056 + 0.203590i \(0.934739\pi\)
\(348\) 0.616756 3.76207i 0.0330616 0.201668i
\(349\) 2.69468 0.144243 0.0721214 0.997396i \(-0.477023\pi\)
0.0721214 + 0.997396i \(0.477023\pi\)
\(350\) 8.57801 16.6258i 0.458514 0.888687i
\(351\) 13.1087i 0.699689i
\(352\) 5.27941 + 0.0714778i 0.281394 + 0.00380978i
\(353\) −8.71218 2.33442i −0.463703 0.124249i 0.0194013 0.999812i \(-0.493824\pi\)
−0.483104 + 0.875563i \(0.660491\pi\)
\(354\) 0.240718 0.469290i 0.0127940 0.0249425i
\(355\) −9.07054 + 26.5364i −0.481414 + 1.40841i
\(356\) 9.83105 21.7630i 0.521045 1.15343i
\(357\) −2.21523 5.32011i −0.117242 0.281570i
\(358\) 3.06683 14.2386i 0.162087 0.752534i
\(359\) 7.69847 13.3341i 0.406310 0.703749i −0.588163 0.808742i \(-0.700149\pi\)
0.994473 + 0.104993i \(0.0334821\pi\)
\(360\) −1.47235 18.0497i −0.0775997 0.951301i
\(361\) 4.32370 + 7.48887i 0.227563 + 0.394151i
\(362\) −4.53926 4.10948i −0.238578 0.215989i
\(363\) 2.64726 2.64726i 0.138945 0.138945i
\(364\) −7.36089 31.1485i −0.385815 1.63263i
\(365\) 6.16421 + 4.13768i 0.322650 + 0.216576i
\(366\) 1.71643 0.0852945i 0.0897190 0.00445841i
\(367\) 6.35657 + 1.70324i 0.331810 + 0.0889083i 0.420878 0.907117i \(-0.361722\pi\)
−0.0890677 + 0.996026i \(0.528389\pi\)
\(368\) 9.22310 4.57427i 0.480788 0.238450i
\(369\) −15.1853 8.76722i −0.790514 0.456403i
\(370\) −3.66769 3.80149i −0.190674 0.197630i
\(371\) −12.8554 16.6893i −0.667417 0.866464i
\(372\) 0.371623 + 0.984006i 0.0192678 + 0.0510183i
\(373\) 1.83269 0.491068i 0.0948931 0.0254265i −0.211060 0.977473i \(-0.567692\pi\)
0.305953 + 0.952047i \(0.401025\pi\)
\(374\) −3.55019 + 6.92124i −0.183576 + 0.357889i
\(375\) −1.30347 3.92148i −0.0673111 0.202504i
\(376\) 9.82007 24.9739i 0.506431 1.28793i
\(377\) 22.0571 + 22.0571i 1.13600 + 1.13600i
\(378\) −4.59865 + 6.67886i −0.236529 + 0.343524i
\(379\) 8.18575i 0.420473i −0.977651 0.210237i \(-0.932577\pi\)
0.977651 0.210237i \(-0.0674235\pi\)
\(380\) −16.0915 + 17.1468i −0.825475 + 0.879612i
\(381\) −2.26857 + 1.30976i −0.116223 + 0.0671011i
\(382\) −29.4582 + 9.48345i −1.50721 + 0.485216i
\(383\) −34.8240 + 9.33107i −1.77943 + 0.476796i −0.990479 0.137666i \(-0.956040\pi\)
−0.788947 + 0.614462i \(0.789373\pi\)
\(384\) 3.19936 + 2.69277i 0.163267 + 0.137415i
\(385\) 4.95176 + 2.44354i 0.252365 + 0.124534i
\(386\) 26.1236 16.8645i 1.32965 0.858378i
\(387\) 27.7141 7.42596i 1.40878 0.377483i
\(388\) −7.90685 + 9.65674i −0.401409 + 0.490247i
\(389\) −4.99176 8.64599i −0.253092 0.438369i 0.711283 0.702906i \(-0.248114\pi\)
−0.964376 + 0.264537i \(0.914781\pi\)
\(390\) −6.05837 3.64403i −0.306778 0.184522i
\(391\) 15.1674i 0.767048i
\(392\) −7.17685 + 18.4524i −0.362486 + 0.931989i
\(393\) −1.43715 + 1.43715i −0.0724947 + 0.0724947i
\(394\) 0.0851271 + 1.71306i 0.00428864 + 0.0863025i
\(395\) −6.81954 + 5.95510i −0.343128 + 0.299634i
\(396\) 5.31881 0.529925i 0.267281 0.0266297i
\(397\) −6.36274 23.7461i −0.319337 1.19178i −0.919884 0.392191i \(-0.871717\pi\)
0.600547 0.799589i \(-0.294949\pi\)
\(398\) 13.6914 + 2.94897i 0.686288 + 0.147818i
\(399\) 5.09671 0.680611i 0.255154 0.0340731i
\(400\) −17.9200 8.88110i −0.895999 0.444055i
\(401\) −0.336778 + 0.583317i −0.0168179 + 0.0291295i −0.874312 0.485365i \(-0.838687\pi\)
0.857494 + 0.514494i \(0.172020\pi\)
\(402\) −0.325664 1.01160i −0.0162426 0.0504541i
\(403\) −8.31327 2.22753i −0.414113 0.110961i
\(404\) 1.76376 + 2.45546i 0.0877505 + 0.122164i
\(405\) −3.36175 17.0895i −0.167047 0.849183i
\(406\) −3.50024 18.9759i −0.173714 0.941760i
\(407\) 1.10246 1.10246i 0.0546469 0.0546469i
\(408\) −5.64832 + 2.46002i −0.279634 + 0.121789i
\(409\) −16.9971 + 9.81326i −0.840450 + 0.485234i −0.857417 0.514622i \(-0.827932\pi\)
0.0169669 + 0.999856i \(0.494599\pi\)
\(410\) −16.9411 + 9.38045i −0.836663 + 0.463268i
\(411\) 0.219903 0.380883i 0.0108470 0.0187876i
\(412\) −3.25638 8.62243i −0.160430 0.424797i
\(413\) 0.343543 2.64739i 0.0169046 0.130270i
\(414\) 8.75627 5.65274i 0.430347 0.277817i
\(415\) 26.1674 12.8356i 1.28451 0.630075i
\(416\) −33.1673 + 8.40760i −1.62616 + 0.412217i
\(417\) −0.692206 + 2.58335i −0.0338975 + 0.126507i
\(418\) −5.14522 4.65807i −0.251661 0.227834i
\(419\) 18.0799i 0.883263i 0.897197 + 0.441631i \(0.145600\pi\)
−0.897197 + 0.441631i \(0.854400\pi\)
\(420\) 1.80838 + 3.98197i 0.0882398 + 0.194300i
\(421\) 16.5073i 0.804518i −0.915526 0.402259i \(-0.868225\pi\)
0.915526 0.402259i \(-0.131775\pi\)
\(422\) 17.4917 19.3210i 0.851481 0.940531i
\(423\) 7.03131 26.2412i 0.341874 1.27589i
\(424\) −17.6166 + 14.0302i −0.855537 + 0.681368i
\(425\) 23.4520 17.8382i 1.13759 0.865281i
\(426\) −3.55559 5.50772i −0.172269 0.266850i
\(427\) 8.03016 3.34366i 0.388606 0.161811i
\(428\) 8.89182 + 23.5443i 0.429802 + 1.13806i
\(429\) 1.04335 1.80714i 0.0503735 0.0872494i
\(430\) 8.74802 30.4552i 0.421867 1.46868i
\(431\) −14.3957 + 8.31135i −0.693416 + 0.400344i −0.804890 0.593423i \(-0.797776\pi\)
0.111475 + 0.993767i \(0.464443\pi\)
\(432\) 7.21872 + 4.79984i 0.347311 + 0.230932i
\(433\) 18.2234 18.2234i 0.875760 0.875760i −0.117332 0.993093i \(-0.537434\pi\)
0.993093 + 0.117332i \(0.0374343\pi\)
\(434\) 3.45417 + 4.05130i 0.165805 + 0.194469i
\(435\) −3.53893 2.37548i −0.169679 0.113896i
\(436\) 6.99023 5.02109i 0.334771 0.240467i
\(437\) −13.0720 3.50264i −0.625319 0.167554i
\(438\) −1.65202 + 0.531832i −0.0789365 + 0.0254119i
\(439\) −0.223132 + 0.386476i −0.0106495 + 0.0184455i −0.871301 0.490749i \(-0.836723\pi\)
0.860652 + 0.509194i \(0.170057\pi\)
\(440\) 2.52614 5.33528i 0.120429 0.254349i
\(441\) −5.11585 + 19.3798i −0.243612 + 0.922848i
\(442\) 10.6142 49.2794i 0.504866 2.34398i
\(443\) 10.0048 + 37.3383i 0.475341 + 1.77400i 0.620094 + 0.784528i \(0.287095\pi\)
−0.144753 + 0.989468i \(0.546239\pi\)
\(444\) 1.22875 0.122423i 0.0583140 0.00580995i
\(445\) −17.5615 20.1107i −0.832494 0.953337i
\(446\) 31.0068 1.54083i 1.46822 0.0729602i
\(447\) −0.851862 + 0.851862i −0.0402917 + 0.0402917i
\(448\) 19.8482 + 7.35176i 0.937740 + 0.347338i
\(449\) 31.7000i 1.49602i −0.663689 0.748008i \(-0.731010\pi\)
0.663689 0.748008i \(-0.268990\pi\)
\(450\) −19.0385 6.89089i −0.897483 0.324840i
\(451\) −2.85781 4.94987i −0.134569 0.233080i
\(452\) 7.15299 + 5.85680i 0.336448 + 0.275480i
\(453\) −6.42824 + 1.72244i −0.302025 + 0.0809274i
\(454\) 16.1791 + 25.0619i 0.759322 + 1.17621i
\(455\) −35.0949 6.99033i −1.64527 0.327712i
\(456\) −0.815787 5.43610i −0.0382027 0.254569i
\(457\) 27.1592 7.27728i 1.27045 0.340417i 0.440249 0.897876i \(-0.354890\pi\)
0.830205 + 0.557459i \(0.188224\pi\)
\(458\) 4.87796 + 15.1523i 0.227932 + 0.708019i
\(459\) −11.0604 + 6.38571i −0.516254 + 0.298059i
\(460\) −0.365272 11.5045i −0.0170309 0.536400i
\(461\) 3.03886i 0.141534i 0.997493 + 0.0707669i \(0.0225447\pi\)
−0.997493 + 0.0707669i \(0.977455\pi\)
\(462\) −1.16555 + 0.554718i −0.0542263 + 0.0258078i
\(463\) −4.72295 4.72295i −0.219494 0.219494i 0.588791 0.808285i \(-0.299604\pi\)
−0.808285 + 0.588791i \(0.799604\pi\)
\(464\) −20.2229 + 4.07010i −0.938822 + 0.188950i
\(465\) 1.17331 + 0.0793955i 0.0544111 + 0.00368188i
\(466\) 19.7961 + 10.1542i 0.917038 + 0.470386i
\(467\) −10.6525 + 2.85433i −0.492939 + 0.132082i −0.496721 0.867910i \(-0.665463\pi\)
0.00378232 + 0.999993i \(0.498796\pi\)
\(468\) −32.4053 + 12.2383i −1.49793 + 0.565715i
\(469\) −3.28247 4.26141i −0.151570 0.196774i
\(470\) −20.8317 21.5917i −0.960895 0.995951i
\(471\) −5.49983 3.17533i −0.253419 0.146311i
\(472\) −2.83576 0.321360i −0.130526 0.0147918i
\(473\) 9.03381 + 2.42060i 0.415375 + 0.111299i
\(474\) −0.105043 2.11384i −0.00482479 0.0970918i
\(475\) 9.95807 + 24.3315i 0.456908 + 1.11641i
\(476\) −22.6957 + 21.3843i −1.04025 + 0.980147i
\(477\) −16.1215 + 16.1215i −0.738153 + 0.738153i
\(478\) 13.0714 14.4385i 0.597872 0.660400i
\(479\) −4.81272 8.33587i −0.219899 0.380876i 0.734878 0.678199i \(-0.237239\pi\)
−0.954777 + 0.297323i \(0.903906\pi\)
\(480\) 4.22502 2.00196i 0.192845 0.0913763i
\(481\) −5.05192 + 8.75018i −0.230348 + 0.398974i
\(482\) −1.26264 0.271957i −0.0575116 0.0123873i
\(483\) −1.52851 + 1.99966i −0.0695495 + 0.0909876i
\(484\) −18.4614 8.33963i −0.839155 0.379074i
\(485\) 6.14521 + 12.5280i 0.279039 + 0.568866i
\(486\) 11.8039 + 6.05470i 0.535436 + 0.274647i
\(487\) −31.8333 8.52972i −1.44251 0.386518i −0.549096 0.835760i \(-0.685028\pi\)
−0.893410 + 0.449241i \(0.851694\pi\)
\(488\) −3.71314 8.52556i −0.168086 0.385934i
\(489\) 8.95469i 0.404945i
\(490\) 15.4286 + 15.8732i 0.696992 + 0.717079i
\(491\) −29.0829 −1.31250 −0.656248 0.754546i \(-0.727857\pi\)
−0.656248 + 0.754546i \(0.727857\pi\)
\(492\) 0.732354 4.46720i 0.0330171 0.201397i
\(493\) 7.86575 29.3554i 0.354256 1.32210i
\(494\) 40.0203 + 20.5281i 1.80060 + 0.923601i
\(495\) 1.93290 5.65483i 0.0868776 0.254166i
\(496\) 4.27063 3.76235i 0.191757 0.168934i
\(497\) −26.3624 20.1510i −1.18251 0.903897i
\(498\) −1.43461 + 6.66059i −0.0642865 + 0.298468i
\(499\) −2.03353 1.17406i −0.0910334 0.0525581i 0.453792 0.891108i \(-0.350071\pi\)
−0.544826 + 0.838549i \(0.683404\pi\)
\(500\) −17.3588 + 14.0951i −0.776308 + 0.630353i
\(501\) 0.146771 0.0847382i 0.00655724 0.00378583i
\(502\) 0.183064 0.202209i 0.00817052 0.00902502i
\(503\) 3.87893 + 3.87893i 0.172953 + 0.172953i 0.788276 0.615322i \(-0.210974\pi\)
−0.615322 + 0.788276i \(0.710974\pi\)
\(504\) 20.8038 + 5.13269i 0.926674 + 0.228628i
\(505\) 3.31656 0.652416i 0.147585 0.0290321i
\(506\) 3.39314 0.168615i 0.150843 0.00749587i
\(507\) −2.25635 + 8.42080i −0.100208 + 0.373981i
\(508\) 10.9670 + 8.97968i 0.486582 + 0.398409i
\(509\) −6.06913 + 10.5120i −0.269009 + 0.465938i −0.968606 0.248600i \(-0.920030\pi\)
0.699597 + 0.714538i \(0.253363\pi\)
\(510\) −0.123374 + 6.88686i −0.00546311 + 0.304955i
\(511\) −6.95918 + 5.36050i −0.307856 + 0.237134i
\(512\) 7.51454 21.3432i 0.332099 0.943245i
\(513\) −2.94933 11.0070i −0.130216 0.485973i
\(514\) 12.4820 24.3341i 0.550556 1.07333i
\(515\) −10.2812 0.695709i −0.453046 0.0306566i
\(516\) 4.32137 + 6.01610i 0.190238 + 0.264844i
\(517\) 6.26175 6.26175i 0.275391 0.275391i
\(518\) 5.64360 2.68595i 0.247966 0.118014i
\(519\) −4.31133 −0.189246
\(520\) −6.86412 + 37.6342i −0.301012 + 1.65037i
\(521\) −2.07706 3.59757i −0.0909976 0.157612i 0.816934 0.576732i \(-0.195672\pi\)
−0.907931 + 0.419119i \(0.862339\pi\)
\(522\) −19.8786 + 6.39950i −0.870063 + 0.280098i
\(523\) −1.35236 5.04706i −0.0591344 0.220693i 0.930035 0.367471i \(-0.119776\pi\)
−0.989169 + 0.146778i \(0.953110\pi\)
\(524\) 10.0224 + 4.52745i 0.437830 + 0.197782i
\(525\) 4.88956 + 0.0116162i 0.213398 + 0.000506973i
\(526\) 15.5351 + 24.0643i 0.677362 + 1.04925i
\(527\) 2.17022 + 8.09939i 0.0945364 + 0.352815i
\(528\) 0.613129 + 1.23625i 0.0266830 + 0.0538010i
\(529\) −14.1817 + 8.18783i −0.616597 + 0.355992i
\(530\) 6.08016 + 24.4340i 0.264105 + 1.06135i
\(531\) −2.88918 −0.125380
\(532\) −13.1889 24.4986i −0.571811 1.06215i
\(533\) 26.1913 + 26.1913i 1.13447 + 1.13447i
\(534\) 6.23366 0.309770i 0.269757 0.0134051i
\(535\) 28.0738 + 1.89969i 1.21374 + 0.0821309i
\(536\) −4.49819 + 3.58245i −0.194292 + 0.154738i
\(537\) 3.67701 0.985252i 0.158675 0.0425168i
\(538\) 6.34836 + 1.36736i 0.273697 + 0.0589512i
\(539\) −4.60274 + 4.63701i −0.198254 + 0.199730i
\(540\) 8.23553 5.10994i 0.354401 0.219897i
\(541\) 17.3067 + 9.99202i 0.744073 + 0.429591i 0.823548 0.567246i \(-0.191991\pi\)
−0.0794756 + 0.996837i \(0.525325\pi\)
\(542\) 28.6318 9.21739i 1.22984 0.395921i
\(543\) 0.414196 1.54580i 0.0177749 0.0663367i
\(544\) 23.2509 + 23.8891i 0.996873 + 1.02424i
\(545\) −1.85730 9.44160i −0.0795580 0.404434i
\(546\) 6.36555 5.42731i 0.272420 0.232267i
\(547\) 11.1516 + 11.1516i 0.476807 + 0.476807i 0.904109 0.427302i \(-0.140536\pi\)
−0.427302 + 0.904109i \(0.640536\pi\)
\(548\) −2.34845 0.385005i −0.100321 0.0164466i
\(549\) −4.70699 8.15275i −0.200890 0.347951i
\(550\) −4.25135 5.04819i −0.181278 0.215256i
\(551\) 23.4835 + 13.5582i 1.00043 + 0.577599i
\(552\) 2.16392 + 1.59919i 0.0921025 + 0.0680662i
\(553\) −4.11783 9.88942i −0.175108 0.420541i
\(554\) 19.0220 12.2799i 0.808168 0.521725i
\(555\) 0.446539 1.30638i 0.0189545 0.0554527i
\(556\) 14.4003 1.43474i 0.610710 0.0608464i
\(557\) 8.94229 + 2.39608i 0.378897 + 0.101525i 0.443241 0.896403i \(-0.353829\pi\)
−0.0643436 + 0.997928i \(0.520495\pi\)
\(558\) 3.86702 4.27145i 0.163704 0.180825i
\(559\) −60.6088 −2.56348
\(560\) 16.6997 16.7666i 0.705692 0.708519i
\(561\) −2.03302 −0.0858340
\(562\) −17.0946 + 18.8824i −0.721093 + 0.796507i
\(563\) −26.2394 7.03083i −1.10586 0.296314i −0.340711 0.940168i \(-0.610668\pi\)
−0.765149 + 0.643854i \(0.777334\pi\)
\(564\) 6.97906 0.695339i 0.293871 0.0292791i
\(565\) 9.27978 4.55191i 0.390403 0.191500i
\(566\) 4.45243 2.87433i 0.187150 0.120817i
\(567\) 20.4367 + 2.65200i 0.858261 + 0.111374i
\(568\) −21.0829 + 28.5279i −0.884619 + 1.19700i
\(569\) 3.24556 + 1.87383i 0.136061 + 0.0785549i 0.566485 0.824072i \(-0.308303\pi\)
−0.430424 + 0.902627i \(0.641636\pi\)
\(570\) −5.90695 1.69673i −0.247415 0.0710680i
\(571\) 0.0783914 + 0.135778i 0.00328058 + 0.00568213i 0.867661 0.497156i \(-0.165622\pi\)
−0.864380 + 0.502838i \(0.832289\pi\)
\(572\) −11.1424 1.82669i −0.465888 0.0763779i
\(573\) −5.71928 5.71928i −0.238926 0.238926i
\(574\) −4.15628 22.5326i −0.173480 0.940492i
\(575\) −11.8684 4.97496i −0.494946 0.207470i
\(576\) 5.12601 22.3262i 0.213584 0.930257i
\(577\) −6.79286 + 25.3513i −0.282791 + 1.05539i 0.667648 + 0.744477i \(0.267301\pi\)
−0.950439 + 0.310912i \(0.899366\pi\)
\(578\) −23.8649 + 7.68278i −0.992647 + 0.319562i
\(579\) 7.03796 + 4.06337i 0.292488 + 0.168868i
\(580\) −5.25923 + 22.4556i −0.218378 + 0.932416i
\(581\) 4.56471 + 34.1825i 0.189376 + 1.41813i
\(582\) −3.18884 0.686838i −0.132182 0.0284704i
\(583\) −7.17852 + 1.92348i −0.297304 + 0.0796623i
\(584\) 5.85040 + 7.34585i 0.242091 + 0.303974i
\(585\) −2.61465 + 38.6395i −0.108102 + 1.59755i
\(586\) 12.0514 0.598869i 0.497837 0.0247390i
\(587\) −16.2301 16.2301i −0.669886 0.669886i 0.287803 0.957689i \(-0.407075\pi\)
−0.957689 + 0.287803i \(0.907075\pi\)
\(588\) −5.14720 + 0.532112i −0.212267 + 0.0219439i
\(589\) −7.48163 −0.308275
\(590\) −1.64462 + 2.73427i −0.0677080 + 0.112568i
\(591\) −0.388217 + 0.224137i −0.0159691 + 0.00921977i
\(592\) −2.96878 5.98595i −0.122016 0.246021i
\(593\) −11.9395 44.5589i −0.490297 1.82981i −0.554919 0.831904i \(-0.687251\pi\)
0.0646222 0.997910i \(-0.479416\pi\)
\(594\) 1.55152 + 2.40335i 0.0636597 + 0.0986108i
\(595\) 11.1980 + 33.0164i 0.459071 + 1.35354i
\(596\) 5.94071 + 2.68361i 0.243341 + 0.109925i
\(597\) 0.947388 + 3.53570i 0.0387740 + 0.144707i
\(598\) −20.9571 + 6.74671i −0.857001 + 0.275893i
\(599\) 12.3081 + 21.3182i 0.502894 + 0.871038i 0.999994 + 0.00334470i \(0.00106465\pi\)
−0.497101 + 0.867693i \(0.665602\pi\)
\(600\) −0.0722743 5.22667i −0.00295059 0.213378i
\(601\) 12.8434 0.523893 0.261947 0.965082i \(-0.415636\pi\)
0.261947 + 0.965082i \(0.415636\pi\)
\(602\) 30.8802 + 21.2622i 1.25858 + 0.866581i
\(603\) −4.11643 + 4.11643i −0.167634 + 0.167634i
\(604\) 21.0083 + 29.2472i 0.854814 + 1.19005i
\(605\) −17.0598 + 14.8973i −0.693579 + 0.605662i
\(606\) −0.360629 + 0.703061i −0.0146495 + 0.0285599i
\(607\) 1.58993 + 5.93369i 0.0645332 + 0.240841i 0.990657 0.136379i \(-0.0435466\pi\)
−0.926124 + 0.377220i \(0.876880\pi\)
\(608\) −25.9582 + 14.5220i −1.05274 + 0.588945i
\(609\) 3.99533 3.07751i 0.161899 0.124707i
\(610\) −10.3950 0.186221i −0.420881 0.00753987i
\(611\) −28.6939 + 49.6992i −1.16083 + 2.01062i
\(612\) 26.1118 + 21.3801i 1.05551 + 0.864237i
\(613\) 0.885426 3.30445i 0.0357620 0.133466i −0.945737 0.324933i \(-0.894658\pi\)
0.981499 + 0.191468i \(0.0613248\pi\)
\(614\) −29.7572 + 1.47873i −1.20090 + 0.0596766i
\(615\) −4.20224 2.82072i −0.169450 0.113742i
\(616\) 5.03624 + 4.83958i 0.202916 + 0.194992i
\(617\) 14.8719 + 14.8719i 0.598718 + 0.598718i 0.939971 0.341253i \(-0.110851\pi\)
−0.341253 + 0.939971i \(0.610851\pi\)
\(618\) 1.61671 1.78579i 0.0650337 0.0718351i
\(619\) 35.1024 20.2664i 1.41088 0.814574i 0.415412 0.909633i \(-0.363637\pi\)
0.995472 + 0.0950590i \(0.0303040\pi\)
\(620\) −1.84118 6.09114i −0.0739434 0.244626i
\(621\) 4.83061 + 2.78895i 0.193846 + 0.111917i
\(622\) 1.07595 4.99540i 0.0431417 0.200297i
\(623\) 29.1637 12.1434i 1.16842 0.486515i
\(624\) −5.91153 6.71016i −0.236651 0.268622i
\(625\) 6.26596 + 24.2020i 0.250638 + 0.968081i
\(626\) 2.18852 + 1.12258i 0.0874708 + 0.0448673i
\(627\) 0.469489 1.75216i 0.0187496 0.0699744i
\(628\) −5.55935 + 33.9108i −0.221842 + 1.35319i
\(629\) 9.84389 0.392502
\(630\) 14.8873 18.7696i 0.593123 0.747797i
\(631\) 40.4404i 1.60991i −0.593339 0.804953i \(-0.702191\pi\)
0.593339 0.804953i \(-0.297809\pi\)
\(632\) −10.4995 + 4.57286i −0.417648 + 0.181899i
\(633\) 6.57958 + 1.76299i 0.261515 + 0.0700727i
\(634\) 1.79643 + 0.921462i 0.0713453 + 0.0365959i
\(635\) 14.2278 6.97901i 0.564614 0.276954i
\(636\) −5.36411 2.42315i −0.212701 0.0960840i
\(637\) 21.0342 36.7463i 0.833404 1.45594i
\(638\) −6.65461 1.43332i −0.263459 0.0567459i
\(639\) −17.9557 + 31.1002i −0.710316 + 1.23030i
\(640\) −18.2112 17.5600i −0.719859 0.694120i
\(641\) −7.27169 12.5949i −0.287214 0.497470i 0.685929 0.727668i \(-0.259396\pi\)
−0.973144 + 0.230198i \(0.926063\pi\)
\(642\) −4.41457 + 4.87626i −0.174229 + 0.192450i
\(643\) 8.71355 8.71355i 0.343629 0.343629i −0.514101 0.857730i \(-0.671874\pi\)
0.857730 + 0.514101i \(0.171874\pi\)
\(644\) 13.0445 + 3.91453i 0.514024 + 0.154254i
\(645\) 8.12585 1.59847i 0.319955 0.0629399i
\(646\) −2.17491 43.7669i −0.0855708 1.72199i
\(647\) −30.9101 8.28233i −1.21520 0.325612i −0.406400 0.913695i \(-0.633216\pi\)
−0.808800 + 0.588083i \(0.799883\pi\)
\(648\) 2.48076 21.8908i 0.0974534 0.859953i
\(649\) −0.815598 0.470886i −0.0320150 0.0184839i
\(650\) 35.0793 + 24.4694i 1.37592 + 0.959769i
\(651\) −0.530103 + 1.28652i −0.0207764 + 0.0504228i
\(652\) −45.3290 + 17.1191i −1.77522 + 0.670436i
\(653\) −28.5721 + 7.65587i −1.11811 + 0.299597i −0.770119 0.637900i \(-0.779803\pi\)
−0.347993 + 0.937497i \(0.613137\pi\)
\(654\) 2.00148 + 1.02664i 0.0782640 + 0.0401448i
\(655\) 9.26147 8.08751i 0.361876 0.316005i
\(656\) −24.0132 + 4.83295i −0.937558 + 0.188695i
\(657\) 6.72243 + 6.72243i 0.262267 + 0.262267i
\(658\) 32.0545 15.2557i 1.24961 0.594727i
\(659\) 19.7431i 0.769080i −0.923108 0.384540i \(-0.874360\pi\)
0.923108 0.384540i \(-0.125640\pi\)
\(660\) 1.54205 0.0489606i 0.0600242 0.00190579i
\(661\) −7.75340 + 4.47643i −0.301572 + 0.174113i −0.643149 0.765741i \(-0.722372\pi\)
0.341577 + 0.939854i \(0.389039\pi\)
\(662\) −3.90678 12.1355i −0.151841 0.471661i
\(663\) 12.7260 3.40993i 0.494238 0.132431i
\(664\) 36.4588 5.47131i 1.41487 0.212328i
\(665\) −31.0411 + 2.02642i −1.20372 + 0.0785810i
\(666\) −3.66872 5.68296i −0.142160 0.220210i
\(667\) −12.8209 + 3.43536i −0.496429 + 0.133018i
\(668\) −0.709538 0.580962i −0.0274528 0.0224781i
\(669\) 4.05695 + 7.02684i 0.156851 + 0.271673i
\(670\) 1.55250 + 6.23894i 0.0599782 + 0.241031i
\(671\) 3.06863i 0.118463i
\(672\) 0.657930 + 5.49265i 0.0253802 + 0.211884i
\(673\) 4.21226 4.21226i 0.162371 0.162371i −0.621245 0.783616i \(-0.713373\pi\)
0.783616 + 0.621245i \(0.213373\pi\)
\(674\) −28.9726 + 1.43974i −1.11598 + 0.0554566i
\(675\) −1.36893 10.7492i −0.0526901 0.413737i
\(676\) 46.9400 4.67674i 1.80539 0.179875i
\(677\) 5.40838 + 20.1844i 0.207861 + 0.775748i 0.988558 + 0.150839i \(0.0481974\pi\)
−0.780697 + 0.624909i \(0.785136\pi\)
\(678\) −0.508758 + 2.36205i −0.0195387 + 0.0907140i
\(679\) −16.3653 + 2.18541i −0.628043 + 0.0838684i
\(680\) 35.0974 12.5414i 1.34592 0.480941i
\(681\) −3.89823 + 6.75194i −0.149381 + 0.258735i
\(682\) 1.78781 0.575547i 0.0684587 0.0220388i
\(683\) −43.0488 11.5349i −1.64722 0.441370i −0.688384 0.725347i \(-0.741680\pi\)
−0.958831 + 0.283977i \(0.908346\pi\)
\(684\) −24.4564 + 17.5671i −0.935116 + 0.671695i
\(685\) −1.48288 + 2.20915i −0.0566578 + 0.0844074i
\(686\) −23.6079 + 11.3432i −0.901352 + 0.433086i
\(687\) −2.94180 + 2.94180i −0.112237 + 0.112237i
\(688\) 22.1924 33.3762i 0.846076 1.27246i
\(689\) 41.7090 24.0807i 1.58899 0.917403i
\(690\) 2.63180 1.45725i 0.100191 0.0554766i
\(691\) −0.909913 + 1.57602i −0.0346147 + 0.0599544i −0.882814 0.469723i \(-0.844354\pi\)
0.848199 + 0.529678i \(0.177687\pi\)
\(692\) 8.24218 + 21.8241i 0.313321 + 0.829629i
\(693\) 5.61775 + 4.29412i 0.213401 + 0.163120i
\(694\) 12.8607 + 19.9216i 0.488186 + 0.756215i
\(695\) 5.23321 15.3101i 0.198507 0.580744i
\(696\) −3.35877 4.21732i −0.127314 0.159857i
\(697\) 9.34002 34.8574i 0.353779 1.32032i
\(698\) 2.55762 2.82510i 0.0968072 0.106932i
\(699\) 5.81483i 0.219937i
\(700\) −9.28880 24.7733i −0.351084 0.936344i
\(701\) 5.61667i 0.212139i −0.994359 0.106069i \(-0.966173\pi\)
0.994359 0.106069i \(-0.0338266\pi\)
\(702\) −13.7431 12.4419i −0.518701 0.469589i
\(703\) −2.27327 + 8.48396i −0.0857380 + 0.319979i
\(704\) 5.08581 5.46709i 0.191679 0.206049i
\(705\) 2.53625 7.41996i 0.0955208 0.279452i
\(706\) −10.7164 + 6.91816i −0.403319 + 0.260368i
\(707\) −0.514675 + 3.96616i −0.0193563 + 0.149163i
\(708\) −0.263529 0.697788i −0.00990404 0.0262245i
\(709\) 23.2036 40.1899i 0.871431 1.50936i 0.0109136 0.999940i \(-0.496526\pi\)
0.860517 0.509422i \(-0.170141\pi\)
\(710\) 19.2116 + 34.6962i 0.720999 + 1.30213i
\(711\) −10.0404 + 5.79683i −0.376544 + 0.217398i
\(712\) −13.4853 30.9629i −0.505382 1.16038i
\(713\) 2.58956 2.58956i 0.0969797 0.0969797i
\(714\) −7.68015 2.72706i −0.287423 0.102058i
\(715\) −7.03565 + 10.4815i −0.263119 + 0.391988i
\(716\) −12.0169 16.7296i −0.449093 0.625215i
\(717\) 4.91688 + 1.31747i 0.183624 + 0.0492019i
\(718\) −6.67261 20.7270i −0.249020 0.773524i
\(719\) 4.65550 8.06357i 0.173621 0.300720i −0.766062 0.642766i \(-0.777787\pi\)
0.939683 + 0.342046i \(0.111120\pi\)
\(720\) −20.3207 15.5880i −0.757309 0.580930i
\(721\) 4.64507 11.2733i 0.172991 0.419838i
\(722\) 11.9551 + 2.57499i 0.444923 + 0.0958312i
\(723\) −0.0873694 0.326067i −0.00324930 0.0121266i
\(724\) −8.61675 + 0.858506i −0.320239 + 0.0319061i
\(725\) 20.3904 + 15.7836i 0.757280 + 0.586187i
\(726\) −0.262776 5.28799i −0.00975255 0.196256i
\(727\) 25.4562 25.4562i 0.944119 0.944119i −0.0543998 0.998519i \(-0.517325\pi\)
0.998519 + 0.0543998i \(0.0173245\pi\)
\(728\) −39.6426 21.8470i −1.46925 0.809705i
\(729\) 19.9001i 0.737042i
\(730\) 10.1886 2.53534i 0.377098 0.0938371i
\(731\) 29.5247 + 51.1383i 1.09201 + 1.89142i
\(732\) 1.53970 1.88046i 0.0569089 0.0695036i
\(733\) −21.3118 + 5.71047i −0.787168 + 0.210921i −0.629943 0.776642i \(-0.716922\pi\)
−0.157225 + 0.987563i \(0.550255\pi\)
\(734\) 7.81892 5.04762i 0.288602 0.186311i
\(735\) −1.85093 + 5.48134i −0.0682725 + 0.202182i
\(736\) 3.95832 14.0111i 0.145906 0.516456i
\(737\) −1.83295 + 0.491138i −0.0675176 + 0.0180913i
\(738\) −23.6044 + 7.59895i −0.868891 + 0.279721i
\(739\) 18.0851 10.4414i 0.665270 0.384094i −0.129012 0.991643i \(-0.541181\pi\)
0.794282 + 0.607549i \(0.207847\pi\)
\(740\) −7.46662 + 0.237068i −0.274478 + 0.00871478i
\(741\) 11.7554i 0.431845i
\(742\) −29.6985 2.36283i −1.09027 0.0867421i
\(743\) −19.7220 19.7220i −0.723531 0.723531i 0.245792 0.969323i \(-0.420952\pi\)
−0.969323 + 0.245792i \(0.920952\pi\)
\(744\) 1.38435 + 0.544346i 0.0507528 + 0.0199567i
\(745\) 5.48968 4.79382i 0.201126 0.175632i
\(746\) 1.22464 2.38748i 0.0448371 0.0874119i
\(747\) 36.0509 9.65982i 1.31903 0.353434i
\(748\) 3.88662 + 10.2912i 0.142109 + 0.376284i
\(749\) −12.6837 + 30.7826i −0.463454 + 1.12477i
\(750\) −5.34845 2.35546i −0.195298 0.0860091i
\(751\) −11.7027 6.75653i −0.427036 0.246549i 0.271047 0.962566i \(-0.412630\pi\)
−0.698083 + 0.716017i \(0.745963\pi\)
\(752\) −16.8620 33.9990i −0.614896 1.23981i
\(753\) 0.0688603 + 0.0184511i 0.00250941 + 0.000672394i
\(754\) 44.0598 2.18947i 1.60456 0.0797358i
\(755\) 39.5037 7.77095i 1.43769 0.282814i
\(756\) 2.63737 + 11.1604i 0.0959203 + 0.405899i
\(757\) −17.4013 + 17.4013i −0.632459 + 0.632459i −0.948684 0.316225i \(-0.897585\pi\)
0.316225 + 0.948684i \(0.397585\pi\)
\(758\) −8.58193 7.76938i −0.311710 0.282197i
\(759\) 0.443960 + 0.768961i 0.0161147 + 0.0279115i
\(760\) 2.70370 + 33.1449i 0.0980736 + 1.20229i
\(761\) −8.67408 + 15.0240i −0.314435 + 0.544618i −0.979317 0.202330i \(-0.935148\pi\)
0.664882 + 0.746948i \(0.268482\pi\)
\(762\) −0.780031 + 3.62151i −0.0282575 + 0.131194i
\(763\) 11.2909 + 1.46518i 0.408757 + 0.0530430i
\(764\) −18.0174 + 39.8851i −0.651847 + 1.44299i
\(765\) 33.8755 16.6166i 1.22477 0.600774i
\(766\) −23.2701 + 45.3660i −0.840781 + 1.63914i
\(767\) 5.89519 + 1.57961i 0.212863 + 0.0570364i
\(768\) 5.85972 0.798402i 0.211445 0.0288099i
\(769\) 33.6019i 1.21171i −0.795573 0.605857i \(-0.792830\pi\)
0.795573 0.605857i \(-0.207170\pi\)
\(770\) 7.26170 2.87217i 0.261693 0.103506i
\(771\) 7.14781 0.257422
\(772\) 7.11413 43.3946i 0.256043 1.56181i
\(773\) 5.43743 20.2928i 0.195571 0.729880i −0.796548 0.604576i \(-0.793343\pi\)
0.992118 0.125304i \(-0.0399907\pi\)
\(774\) 18.5190 36.1036i 0.665653 1.29772i
\(775\) −7.04956 0.958445i −0.253228 0.0344284i
\(776\) 2.61946 + 17.4551i 0.0940330 + 0.626601i
\(777\) 1.29781 + 0.992028i 0.0465587 + 0.0355888i
\(778\) −13.8023 2.97285i −0.494837 0.106582i
\(779\) 27.8850 + 16.0994i 0.999083 + 0.576821i
\(780\) −9.57061 + 2.89292i −0.342683 + 0.103583i
\(781\) −10.1376 + 5.85292i −0.362750 + 0.209434i
\(782\) 15.9015 + 14.3959i 0.568636 + 0.514797i
\(783\) −7.90296 7.90296i −0.282429 0.282429i
\(784\) 12.5337 + 25.0381i 0.447633 + 0.894217i
\(785\) 31.8995 + 21.4123i 1.13854 + 0.764236i
\(786\) 0.142657 + 2.87076i 0.00508841 + 0.102397i
\(787\) 4.00750 14.9562i 0.142852 0.533130i −0.856990 0.515333i \(-0.827668\pi\)
0.999842 0.0177970i \(-0.00566526\pi\)
\(788\) 1.87676 + 1.53668i 0.0668570 + 0.0547418i
\(789\) −3.74306 + 6.48318i −0.133257 + 0.230807i
\(790\) −0.229338 + 12.8018i −0.00815947 + 0.455468i
\(791\) 1.61879 + 12.1222i 0.0575575 + 0.431015i
\(792\) 4.49270 6.07921i 0.159641 0.216015i
\(793\) 5.14694 + 19.2086i 0.182773 + 0.682119i
\(794\) −30.9345 15.8675i −1.09782 0.563118i
\(795\) −4.95686 + 4.32854i −0.175802 + 0.153517i
\(796\) 16.0867 11.5551i 0.570178 0.409559i
\(797\) 2.17089 2.17089i 0.0768969 0.0768969i −0.667612 0.744509i \(-0.732684\pi\)
0.744509 + 0.667612i \(0.232684\pi\)
\(798\) 4.12391 5.98937i 0.145985 0.212022i
\(799\) 55.9113 1.97800
\(800\) −26.3194 + 10.3579i −0.930533 + 0.366208i
\(801\) −17.0947 29.6089i −0.604012 1.04618i
\(802\) 0.291901 + 0.906725i 0.0103074 + 0.0320176i
\(803\) 0.802062 + 2.99334i 0.0283042 + 0.105633i
\(804\) −1.36966 0.618722i −0.0483043 0.0218206i
\(805\) 10.0426 11.4454i 0.353957 0.403398i
\(806\) −10.2258 + 6.60139i −0.360187 + 0.232524i
\(807\) 0.439280 + 1.63942i 0.0154634 + 0.0577102i
\(808\) 4.24836 + 0.481441i 0.149457 + 0.0169370i
\(809\) −18.0260 + 10.4073i −0.633762 + 0.365902i −0.782207 0.623018i \(-0.785906\pi\)
0.148446 + 0.988921i \(0.452573\pi\)
\(810\) −21.1074 12.6958i −0.741637 0.446084i
\(811\) −55.0469 −1.93296 −0.966480 0.256743i \(-0.917351\pi\)
−0.966480 + 0.256743i \(0.917351\pi\)
\(812\) −23.2166 14.3411i −0.814742 0.503274i
\(813\) 5.55882 + 5.55882i 0.194956 + 0.194956i
\(814\) −0.109434 2.20220i −0.00383567 0.0771872i
\(815\) −3.65741 + 54.0495i −0.128114 + 1.89327i
\(816\) −2.78194 + 8.25659i −0.0973875 + 0.289038i
\(817\) −50.8918 + 13.6364i −1.78048 + 0.477078i
\(818\) −5.84430 + 27.1338i −0.204341 + 0.948712i
\(819\) −42.3677 17.4573i −1.48045 0.610008i
\(820\) −6.24497 + 26.6644i −0.218084 + 0.931161i
\(821\) −29.5682 17.0712i −1.03194 0.595790i −0.114399 0.993435i \(-0.536494\pi\)
−0.917539 + 0.397645i \(0.869827\pi\)
\(822\) −0.190600 0.592056i −0.00664794 0.0206503i
\(823\) −8.20422 + 30.6186i −0.285981 + 1.06730i 0.662138 + 0.749382i \(0.269649\pi\)
−0.948119 + 0.317914i \(0.897018\pi\)
\(824\) −12.1305 4.76987i −0.422586 0.166166i
\(825\) 0.666838 1.59082i 0.0232163 0.0553853i
\(826\) −2.44945 2.87290i −0.0852274 0.0999611i
\(827\) 13.8807 + 13.8807i 0.482680 + 0.482680i 0.905987 0.423306i \(-0.139131\pi\)
−0.423306 + 0.905987i \(0.639131\pi\)
\(828\) 2.38456 14.5453i 0.0828691 0.505483i
\(829\) 18.0996 + 31.3494i 0.628625 + 1.08881i 0.987828 + 0.155551i \(0.0497153\pi\)
−0.359203 + 0.933260i \(0.616951\pi\)
\(830\) 11.3796 39.6166i 0.394991 1.37511i
\(831\) 5.12473 + 2.95876i 0.177775 + 0.102638i
\(832\) −22.6658 + 42.7526i −0.785794 + 1.48218i
\(833\) −41.2510 + 0.152977i −1.42926 + 0.00530036i
\(834\) 2.05138 + 3.17765i 0.0710335 + 0.110033i
\(835\) −0.920503 + 0.451524i −0.0318553 + 0.0156256i
\(836\) −9.76703 + 0.973111i −0.337800 + 0.0336557i
\(837\) 2.97860 + 0.798114i 0.102956 + 0.0275869i
\(838\) 18.9550 + 17.1603i 0.654789 + 0.592793i
\(839\) 36.3979 1.25660 0.628298 0.777973i \(-0.283752\pi\)
0.628298 + 0.777973i \(0.283752\pi\)
\(840\) 5.89109 + 1.88353i 0.203262 + 0.0649878i
\(841\) −2.40441 −0.0829108
\(842\) −17.3063 15.6677i −0.596413 0.539944i
\(843\) −6.43022 1.72297i −0.221469 0.0593424i
\(844\) −3.65416 36.6765i −0.125781 1.26246i
\(845\) 17.0584 49.9055i 0.586828 1.71680i
\(846\) −20.8376 32.2781i −0.716411 1.10974i
\(847\) −10.3012 24.7394i −0.353953 0.850056i
\(848\) −2.01124 + 31.7858i −0.0690661 + 1.09153i
\(849\) 1.19953 + 0.692550i 0.0411678 + 0.0237682i
\(850\) 3.55751 41.5179i 0.122022 1.42405i
\(851\) −2.14966 3.72332i −0.0736893 0.127634i
\(852\) −9.14902 1.49989i −0.313440 0.0513855i
\(853\) −26.4581 26.4581i −0.905908 0.905908i 0.0900314 0.995939i \(-0.471303\pi\)
−0.995939 + 0.0900314i \(0.971303\pi\)
\(854\) 4.11622 11.5924i 0.140854 0.396684i
\(855\) 6.49806 + 33.0329i 0.222229 + 1.12970i
\(856\) 33.1233 + 13.0245i 1.13213 + 0.445170i
\(857\) 1.36367 5.08927i 0.0465820 0.173846i −0.938716 0.344692i \(-0.887983\pi\)
0.985298 + 0.170846i \(0.0546500\pi\)
\(858\) −0.904320 2.80907i −0.0308730 0.0959000i
\(859\) −44.5451 25.7181i −1.51986 0.877492i −0.999726 0.0234068i \(-0.992549\pi\)
−0.520134 0.854085i \(-0.674118\pi\)
\(860\) −23.6261 38.0775i −0.805644 1.29843i
\(861\) 4.74417 3.65433i 0.161681 0.124539i
\(862\) −4.94984 + 22.9810i −0.168592 + 0.782737i
\(863\) 21.7264 5.82157i 0.739575 0.198169i 0.130686 0.991424i \(-0.458282\pi\)
0.608889 + 0.793255i \(0.291615\pi\)
\(864\) 11.8837 3.01240i 0.404291 0.102484i
\(865\) 26.0227 + 1.76090i 0.884799 + 0.0598724i
\(866\) −1.80892 36.4019i −0.0614696 1.23699i
\(867\) −4.63333 4.63333i −0.157356 0.157356i
\(868\) 7.52586 + 0.223892i 0.255444 + 0.00759940i
\(869\) −3.77912 −0.128198
\(870\) −5.84938 + 1.45556i −0.198313 + 0.0493482i
\(871\) 10.6499 6.14873i 0.360859 0.208342i
\(872\) 1.37057 12.0943i 0.0464133 0.409563i
\(873\) 4.62476 + 17.2598i 0.156524 + 0.584157i
\(874\) −16.0793 + 10.3802i −0.543890 + 0.351116i
\(875\) −29.5081 2.06718i −0.997555 0.0698835i
\(876\) −1.01042 + 2.23676i −0.0341388 + 0.0755730i
\(877\) 6.75014 + 25.1919i 0.227936 + 0.850668i 0.981207 + 0.192958i \(0.0618082\pi\)
−0.753271 + 0.657710i \(0.771525\pi\)
\(878\) 0.193399 + 0.600750i 0.00652689 + 0.0202743i
\(879\) 1.57680 + 2.73111i 0.0531843 + 0.0921179i
\(880\) −3.19585 7.71231i −0.107732 0.259982i
\(881\) 42.2555 1.42362 0.711812 0.702370i \(-0.247875\pi\)
0.711812 + 0.702370i \(0.247875\pi\)
\(882\) 15.4622 + 23.7575i 0.520638 + 0.799958i
\(883\) −23.2185 + 23.2185i −0.781366 + 0.781366i −0.980061 0.198695i \(-0.936330\pi\)
0.198695 + 0.980061i \(0.436330\pi\)
\(884\) −41.5902 57.9008i −1.39883 1.94741i
\(885\) −0.832031 0.0563017i −0.0279684 0.00189256i
\(886\) 48.6413 + 24.9501i 1.63414 + 0.838215i
\(887\) 1.36155 + 5.08138i 0.0457164 + 0.170616i 0.985010 0.172500i \(-0.0551844\pi\)
−0.939293 + 0.343116i \(0.888518\pi\)
\(888\) 1.03790 1.40442i 0.0348298 0.0471292i
\(889\) 2.48194 + 18.5858i 0.0832415 + 0.623348i
\(890\) −37.7522 0.676312i −1.26546 0.0226700i
\(891\) 3.63503 6.29606i 0.121778 0.210926i
\(892\) 27.8143 33.9700i 0.931292 1.13740i
\(893\) −12.9117 + 48.1871i −0.432074 + 1.61252i
\(894\) 0.0845590 + 1.70162i 0.00282807 + 0.0569108i
\(895\) −22.5965 + 4.44505i −0.755316 + 0.148582i
\(896\) 26.5462 13.8310i 0.886847 0.462063i
\(897\) −4.06881 4.06881i −0.135853 0.135853i
\(898\) −33.2343 30.0876i −1.10904 1.00404i
\(899\) −6.35484 + 3.66897i −0.211946 + 0.122367i
\(900\) −25.2945 + 13.4195i −0.843150 + 0.447318i
\(901\) −40.6360 23.4612i −1.35378 0.781606i
\(902\) −7.90188 1.70197i −0.263104 0.0566695i
\(903\) −1.26100 + 9.71742i −0.0419633 + 0.323376i
\(904\) 12.9294 1.94030i 0.430026 0.0645333i
\(905\) −3.13141 + 9.16112i −0.104091 + 0.304526i
\(906\) −4.29547 + 8.37420i −0.142707 + 0.278214i
\(907\) 10.7351 40.0638i 0.356452 1.33030i −0.522196 0.852825i \(-0.674887\pi\)
0.878648 0.477470i \(-0.158446\pi\)
\(908\) 41.6310 + 6.82501i 1.38157 + 0.226496i
\(909\) 4.32839 0.143564
\(910\) −40.6385 + 30.1587i −1.34715 + 0.999752i
\(911\) 56.2856i 1.86483i 0.361394 + 0.932413i \(0.382301\pi\)
−0.361394 + 0.932413i \(0.617699\pi\)
\(912\) −6.47350 4.30433i −0.214359 0.142531i
\(913\) 11.7513 + 3.14876i 0.388912 + 0.104209i
\(914\) 18.1483 35.3808i 0.600291 1.17029i
\(915\) −1.19665 2.43957i −0.0395602 0.0806497i
\(916\) 20.5155 + 9.26752i 0.677851 + 0.306208i
\(917\) 5.59234 + 13.4306i 0.184675 + 0.443518i
\(918\) −3.80302 + 17.6566i −0.125518 + 0.582754i
\(919\) 10.6286 18.4093i 0.350606 0.607267i −0.635750 0.771895i \(-0.719309\pi\)
0.986356 + 0.164628i \(0.0526424\pi\)
\(920\) −12.4080 10.5364i −0.409080 0.347374i
\(921\) −3.89345 6.74365i −0.128294 0.222211i
\(922\) 3.18594 + 2.88429i 0.104923 + 0.0949891i
\(923\) 53.6409 53.6409i 1.76561 1.76561i
\(924\) −0.524698 + 1.74846i −0.0172613 + 0.0575202i
\(925\) −3.22884 + 7.70278i −0.106163 + 0.253266i
\(926\) −9.43426 + 0.468817i −0.310029 + 0.0154063i
\(927\) −12.7461 3.41530i −0.418635 0.112173i
\(928\) −14.9271 + 25.0647i −0.490007 + 0.822789i
\(929\) 44.9633 + 25.9596i 1.47520 + 0.851706i 0.999609 0.0279615i \(-0.00890157\pi\)
0.475589 + 0.879668i \(0.342235\pi\)
\(930\) 1.19687 1.15474i 0.0392469 0.0378655i
\(931\) 9.39433 35.5875i 0.307887 1.16633i
\(932\) 29.4349 11.1165i 0.964172 0.364133i
\(933\) 1.29002 0.345661i 0.0422335 0.0113164i
\(934\) −7.11819 + 13.8772i −0.232914 + 0.454076i
\(935\) 12.2711 + 0.830356i 0.401307 + 0.0271556i
\(936\) −17.9264 + 45.5895i −0.585942 + 1.49014i
\(937\) −18.6851 18.6851i −0.610416 0.610416i 0.332638 0.943055i \(-0.392061\pi\)
−0.943055 + 0.332638i \(0.892061\pi\)
\(938\) −7.58317 0.603320i −0.247599 0.0196991i
\(939\) 0.642846i 0.0209785i
\(940\) −42.4088 + 1.34650i −1.38322 + 0.0439178i
\(941\) 47.6790 27.5275i 1.55429 0.897370i 0.556506 0.830844i \(-0.312142\pi\)
0.997785 0.0665261i \(-0.0211916\pi\)
\(942\) −8.54910 + 2.75220i −0.278545 + 0.0896716i
\(943\) −15.2240 + 4.07925i −0.495761 + 0.132839i
\(944\) −3.02843 + 2.66799i −0.0985671 + 0.0868358i
\(945\) 12.5743 + 2.50460i 0.409043 + 0.0814747i
\(946\) 11.1121 7.17356i 0.361284 0.233232i
\(947\) −3.47532 + 0.931210i −0.112933 + 0.0302603i −0.314843 0.949144i \(-0.601952\pi\)
0.201910 + 0.979404i \(0.435285\pi\)
\(948\) −2.31585 1.89619i −0.0752152 0.0615855i
\(949\) −10.0413 17.3921i −0.325955 0.564570i
\(950\) 34.9607 + 12.6539i 1.13427 + 0.410546i
\(951\) 0.527676i 0.0171111i
\(952\) 0.878018 + 44.0907i 0.0284567 + 1.42899i
\(953\) −9.00314 + 9.00314i −0.291640 + 0.291640i −0.837728 0.546088i \(-0.816117\pi\)
0.546088 + 0.837728i \(0.316117\pi\)
\(954\) 1.60028 + 32.2033i 0.0518110 + 1.04262i
\(955\) 32.1850 + 36.8569i 1.04148 + 1.19266i
\(956\) −2.73073 27.4081i −0.0883181 0.886442i
\(957\) −0.460472 1.71850i −0.0148849 0.0555513i
\(958\) −13.3072 2.86622i −0.429938 0.0926035i
\(959\) −1.92112 2.49406i −0.0620360 0.0805373i
\(960\) 1.91127 6.32964i 0.0616860 0.204288i
\(961\) −14.4877 + 25.0934i −0.467345 + 0.809466i
\(962\) 4.37873 + 13.6015i 0.141176 + 0.438531i
\(963\) 34.8042 + 9.32575i 1.12155 + 0.300518i
\(964\) −1.48354 + 1.06563i −0.0477815 + 0.0343215i
\(965\) −40.8207 27.4006i −1.31407 0.882057i
\(966\) 0.645678 + 3.50043i 0.0207743 + 0.112625i
\(967\) 4.36956 4.36956i 0.140516 0.140516i −0.633350 0.773866i \(-0.718321\pi\)
0.773866 + 0.633350i \(0.218321\pi\)
\(968\) −26.2657 + 11.4395i −0.844210 + 0.367679i
\(969\) 9.91856 5.72648i 0.318630 0.183961i
\(970\) 18.9670 + 5.44812i 0.608992 + 0.174928i
\(971\) 9.24578 16.0142i 0.296711 0.513919i −0.678670 0.734443i \(-0.737443\pi\)
0.975382 + 0.220524i \(0.0707768\pi\)
\(972\) 17.5512 6.62847i 0.562956 0.212608i
\(973\) 15.2097 + 11.6260i 0.487600 + 0.372714i
\(974\) −39.1567 + 25.2782i −1.25466 + 0.809965i
\(975\) −1.50594 + 11.0765i −0.0482288 + 0.354732i
\(976\) −12.4625 4.19906i −0.398914 0.134409i
\(977\) 1.57145 5.86472i 0.0502750 0.187629i −0.936222 0.351410i \(-0.885702\pi\)
0.986497 + 0.163781i \(0.0523690\pi\)
\(978\) −9.38809 8.49921i −0.300198 0.271775i
\(979\) 11.1446i 0.356182i
\(980\) 31.2853 1.10947i 0.999372 0.0354407i
\(981\) 12.3221i 0.393414i
\(982\) −27.6037 + 30.4905i −0.880868 + 0.972992i
\(983\) 7.68312 28.6738i 0.245054 0.914552i −0.728303 0.685255i \(-0.759691\pi\)
0.973357 0.229297i \(-0.0736427\pi\)
\(984\) −3.98830 5.00777i −0.127142 0.159642i
\(985\) 2.43478 1.19431i 0.0775785 0.0380537i
\(986\) −23.3105 36.1087i −0.742358 1.14994i
\(987\) 7.37130 + 5.63451i 0.234631 + 0.179349i
\(988\) 59.5063 22.4734i 1.89315 0.714973i
\(989\) 12.8949 22.3346i 0.410034 0.710200i
\(990\) −4.09394 7.39366i −0.130114 0.234986i
\(991\) 44.4018 25.6354i 1.41047 0.814336i 0.415038 0.909804i \(-0.363768\pi\)
0.995432 + 0.0954681i \(0.0304348\pi\)
\(992\) 0.108966 8.04830i 0.00345967 0.255534i
\(993\) 2.35610 2.35610i 0.0747685 0.0747685i
\(994\) −46.1478 + 8.51226i −1.46372 + 0.269992i
\(995\) −4.27423 21.7281i −0.135502 0.688826i
\(996\) 5.62131 + 7.82585i 0.178118 + 0.247971i
\(997\) 4.03325 + 1.08071i 0.127734 + 0.0342263i 0.322120 0.946699i \(-0.395605\pi\)
−0.194385 + 0.980925i \(0.562271\pi\)
\(998\) −3.16098 + 1.01761i −0.100059 + 0.0322119i
\(999\) 1.81008 3.13515i 0.0572684 0.0991917i
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 280.2.br.a.107.34 yes 176
5.3 odd 4 inner 280.2.br.a.163.11 yes 176
7.4 even 3 inner 280.2.br.a.67.26 yes 176
8.3 odd 2 inner 280.2.br.a.107.40 yes 176
35.18 odd 12 inner 280.2.br.a.123.40 yes 176
40.3 even 4 inner 280.2.br.a.163.26 yes 176
56.11 odd 6 inner 280.2.br.a.67.11 176
280.123 even 12 inner 280.2.br.a.123.34 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.11 176 56.11 odd 6 inner
280.2.br.a.67.26 yes 176 7.4 even 3 inner
280.2.br.a.107.34 yes 176 1.1 even 1 trivial
280.2.br.a.107.40 yes 176 8.3 odd 2 inner
280.2.br.a.123.34 yes 176 280.123 even 12 inner
280.2.br.a.123.40 yes 176 35.18 odd 12 inner
280.2.br.a.163.11 yes 176 5.3 odd 4 inner
280.2.br.a.163.26 yes 176 40.3 even 4 inner