Properties

Label 280.2.br.a.67.11
Level $280$
Weight $2$
Character 280.67
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 67.11
Character \(\chi\) \(=\) 280.67
Dual form 280.2.br.a.163.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.04840 + 0.949136i) q^{2} +(-0.0956638 - 0.357022i) q^{3} +(0.198283 - 1.99015i) q^{4} +(-1.68428 + 1.47078i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-2.10200 + 1.60674i) q^{7} +(1.68104 + 2.27467i) q^{8} +(2.47976 - 1.43169i) q^{9} +O(q^{10})\) \(q+(-1.04840 + 0.949136i) q^{2} +(-0.0956638 - 0.357022i) q^{3} +(0.198283 - 1.99015i) q^{4} +(-1.68428 + 1.47078i) q^{5} +(0.439157 + 0.283504i) q^{6} +(-2.10200 + 1.60674i) q^{7} +(1.68104 + 2.27467i) q^{8} +(2.47976 - 1.43169i) q^{9} +(0.369825 - 3.14058i) q^{10} +(-0.466681 + 0.808315i) q^{11} +(-0.729495 + 0.119594i) 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} +(-5.69224 + 1.52523i) q^{17} +(-1.24091 + 3.85462i) q^{18} +(-4.55363 + 2.62904i) q^{19} +(2.59311 + 3.64359i) q^{20} +(0.774726 + 0.596754i) q^{21} +(-0.277933 - 1.29038i) q^{22} +(-0.666144 + 2.48608i) q^{23} +(0.651292 - 0.817772i) q^{24} +(0.673594 - 4.95442i) q^{25} +(8.54355 + 0.424555i) q^{26} +(-1.53244 - 1.53244i) q^{27} +(2.78085 + 4.50187i) q^{28} -5.15709 q^{29} +(-1.15664 + 0.168404i) q^{30} +(-1.23225 - 0.711441i) q^{31} +(4.86024 - 2.89449i) q^{32} +(0.333231 + 0.0892890i) q^{33} +(4.52009 - 7.00176i) q^{34} +(1.17719 - 5.79778i) q^{35} +(-2.35758 - 5.21897i) q^{36} +(1.61351 + 0.432338i) q^{37} +(2.27871 - 7.07830i) q^{38} +(-1.11784 + 1.93616i) q^{39} +(-6.17688 - 1.35873i) q^{40} +6.12368 q^{41} +(-1.37862 + 0.109684i) q^{42} +(-7.08536 + 7.08536i) q^{43} +(1.51613 + 1.08904i) q^{44} +(-2.07091 + 6.05856i) q^{45} +(-1.66124 - 3.23867i) q^{46} +(9.16440 + 2.45559i) q^{47} +(0.0933627 + 1.47552i) q^{48} +(1.83680 - 6.75472i) q^{49} +(3.99622 + 5.83354i) q^{50} +(1.08908 + 1.88635i) q^{51} +(-9.36001 + 7.66388i) q^{52} +(7.69103 - 2.06081i) 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} +(5.40669 - 4.89478i) q^{58} +(-0.873827 - 0.504505i) q^{59} +(1.05278 - 1.27436i) q^{60} +(2.84724 - 1.64386i) q^{61} +(1.96715 - 0.423700i) q^{62} +(-2.91211 + 6.99374i) q^{63} +(-2.34821 + 7.64761i) q^{64} +(13.4943 + 0.913133i) q^{65} +(-0.434107 + 0.222671i) q^{66} +(-1.96381 + 0.526202i) q^{67} +(1.90676 + 11.6308i) q^{68} +0.951312 q^{69} +(4.26871 + 7.19570i) q^{70} +12.5416i q^{71} +(7.42520 + 3.23390i) q^{72} +(0.859326 + 3.20705i) q^{73} +(-2.10195 + 1.07818i) q^{74} +(-1.83328 + 0.233471i) q^{75} +(4.32927 + 9.58369i) q^{76} +(-0.317787 - 2.44891i) q^{77} +(-0.665733 - 3.09085i) q^{78} +(-2.02447 - 3.50648i) q^{79} +(7.76546 - 4.43821i) q^{80} +(3.89456 - 6.74557i) q^{81} +(-6.42006 + 5.81220i) 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} +(0.493347 + 1.84120i) q^{87} +(-2.62316 + 0.297267i) q^{88} +(-10.3405 + 5.97011i) q^{89} +(-3.57926 - 8.31736i) q^{90} +(15.8624 + 2.11826i) q^{91} +(4.81558 + 1.81867i) q^{92} +(-0.136118 + 0.508001i) q^{93} +(-11.9386 + 6.12382i) q^{94} +(3.80284 - 11.1254i) q^{95} +(-1.49835 - 1.45832i) q^{96} +(-4.41264 - 4.41264i) q^{97} +(4.48545 + 8.82501i) 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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04840 + 0.949136i −0.741330 + 0.671140i
\(3\) −0.0956638 0.357022i −0.0552315 0.206127i 0.932796 0.360405i \(-0.117362\pi\)
−0.988027 + 0.154278i \(0.950695\pi\)
\(4\) 0.198283 1.99015i 0.0991414 0.995073i
\(5\) −1.68428 + 1.47078i −0.753233 + 0.657754i
\(6\) 0.439157 + 0.283504i 0.179285 + 0.115740i
\(7\) −2.10200 + 1.60674i −0.794481 + 0.607289i
\(8\) 1.68104 + 2.27467i 0.594337 + 0.804216i
\(9\) 2.47976 1.43169i 0.826588 0.477231i
\(10\) 0.369825 3.14058i 0.116949 0.993138i
\(11\) −0.466681 + 0.808315i −0.140710 + 0.243716i −0.927764 0.373167i \(-0.878272\pi\)
0.787054 + 0.616884i \(0.211605\pi\)
\(12\) −0.729495 + 0.119594i −0.210587 + 0.0345237i
\(13\) −4.27704 4.27704i −1.18624 1.18624i −0.978099 0.208140i \(-0.933259\pi\)
−0.208140 0.978099i \(-0.566741\pi\)
\(14\) 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
\(17\) −5.69224 + 1.52523i −1.38057 + 0.369923i −0.871328 0.490701i \(-0.836741\pi\)
−0.509242 + 0.860623i \(0.670074\pi\)
\(18\) −1.24091 + 3.85462i −0.292486 + 0.908542i
\(19\) −4.55363 + 2.62904i −1.04467 + 0.603143i −0.921154 0.389199i \(-0.872752\pi\)
−0.123521 + 0.992342i \(0.539419\pi\)
\(20\) 2.59311 + 3.64359i 0.579837 + 0.814732i
\(21\) 0.774726 + 0.596754i 0.169059 + 0.130222i
\(22\) −0.277933 1.29038i −0.0592555 0.275110i
\(23\) −0.666144 + 2.48608i −0.138901 + 0.518384i 0.861051 + 0.508519i \(0.169807\pi\)
−0.999951 + 0.00986492i \(0.996860\pi\)
\(24\) 0.651292 0.817772i 0.132944 0.166927i
\(25\) 0.673594 4.95442i 0.134719 0.990884i
\(26\) 8.54355 + 0.424555i 1.67553 + 0.0832621i
\(27\) −1.53244 1.53244i −0.294919 0.294919i
\(28\) 2.78085 + 4.50187i 0.525532 + 0.850774i
\(29\) −5.15709 −0.957648 −0.478824 0.877911i \(-0.658937\pi\)
−0.478824 + 0.877911i \(0.658937\pi\)
\(30\) −1.15664 + 0.168404i −0.211172 + 0.0307462i
\(31\) −1.23225 0.711441i −0.221319 0.127779i 0.385242 0.922816i \(-0.374118\pi\)
−0.606561 + 0.795037i \(0.707451\pi\)
\(32\) 4.86024 2.89449i 0.859177 0.511678i
\(33\) 0.333231 + 0.0892890i 0.0580081 + 0.0155432i
\(34\) 4.52009 7.00176i 0.775189 1.20079i
\(35\) 1.17719 5.79778i 0.198982 0.980003i
\(36\) −2.35758 5.21897i −0.392930 0.869829i
\(37\) 1.61351 + 0.432338i 0.265259 + 0.0710760i 0.388997 0.921239i \(-0.372822\pi\)
−0.123738 + 0.992315i \(0.539488\pi\)
\(38\) 2.27871 7.07830i 0.369655 1.14825i
\(39\) −1.11784 + 1.93616i −0.178998 + 0.310033i
\(40\) −6.17688 1.35873i −0.976651 0.214834i
\(41\) 6.12368 0.956358 0.478179 0.878262i \(-0.341297\pi\)
0.478179 + 0.878262i \(0.341297\pi\)
\(42\) −1.37862 + 0.109684i −0.212726 + 0.0169246i
\(43\) −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
\(45\) −2.07091 + 6.05856i −0.308712 + 0.903157i
\(46\) −1.66124 3.23867i −0.244937 0.477515i
\(47\) 9.16440 + 2.45559i 1.33677 + 0.358185i 0.855233 0.518243i \(-0.173414\pi\)
0.481532 + 0.876429i \(0.340081\pi\)
\(48\) 0.0933627 + 1.47552i 0.0134758 + 0.212972i
\(49\) 1.83680 6.75472i 0.262399 0.964959i
\(50\) 3.99622 + 5.83354i 0.565151 + 0.824987i
\(51\) 1.08908 + 1.88635i 0.152502 + 0.264141i
\(52\) −9.36001 + 7.66388i −1.29800 + 1.06279i
\(53\) 7.69103 2.06081i 1.05644 0.283073i 0.311532 0.950236i \(-0.399158\pi\)
0.744912 + 0.667162i \(0.232491\pi\)
\(54\) 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
\(58\) 5.40669 4.89478i 0.709933 0.642716i
\(59\) −0.873827 0.504505i −0.113763 0.0656809i 0.442039 0.896996i \(-0.354255\pi\)
−0.555802 + 0.831315i \(0.687589\pi\)
\(60\) 1.05278 1.27436i 0.135913 0.164519i
\(61\) 2.84724 1.64386i 0.364552 0.210474i −0.306524 0.951863i \(-0.599166\pi\)
0.671076 + 0.741389i \(0.265832\pi\)
\(62\) 1.96715 0.423700i 0.249828 0.0538100i
\(63\) −2.91211 + 6.99374i −0.366891 + 0.881128i
\(64\) −2.34821 + 7.64761i −0.293526 + 0.955951i
\(65\) 13.4943 + 0.913133i 1.67377 + 0.113260i
\(66\) −0.434107 + 0.222671i −0.0534348 + 0.0274089i
\(67\) −1.96381 + 0.526202i −0.239918 + 0.0642859i −0.376774 0.926305i \(-0.622967\pi\)
0.136856 + 0.990591i \(0.456300\pi\)
\(68\) 1.90676 + 11.6308i 0.231229 + 1.41044i
\(69\) 0.951312 0.114525
\(70\) 4.26871 + 7.19570i 0.510208 + 0.860051i
\(71\) 12.5416i 1.48841i 0.667950 + 0.744206i \(0.267172\pi\)
−0.667950 + 0.744206i \(0.732828\pi\)
\(72\) 7.42520 + 3.23390i 0.875068 + 0.381119i
\(73\) 0.859326 + 3.20705i 0.100576 + 0.375356i 0.997806 0.0662084i \(-0.0210902\pi\)
−0.897229 + 0.441565i \(0.854424\pi\)
\(74\) −2.10195 + 1.07818i −0.244347 + 0.125335i
\(75\) −1.83328 + 0.233471i −0.211689 + 0.0269589i
\(76\) 4.32927 + 9.58369i 0.496601 + 1.09932i
\(77\) −0.317787 2.44891i −0.0362152 0.279079i
\(78\) −0.665733 3.09085i −0.0753794 0.349970i
\(79\) −2.02447 3.50648i −0.227770 0.394510i 0.729377 0.684112i \(-0.239810\pi\)
−0.957147 + 0.289603i \(0.906477\pi\)
\(80\) 7.76546 4.43821i 0.868204 0.496207i
\(81\) 3.89456 6.74557i 0.432729 0.749508i
\(82\) −6.42006 + 5.81220i −0.708977 + 0.641851i
\(83\) −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
\(87\) 0.493347 + 1.84120i 0.0528924 + 0.197397i
\(88\) −2.62316 + 0.297267i −0.279630 + 0.0316888i
\(89\) −10.3405 + 5.97011i −1.09609 + 0.632831i −0.935192 0.354140i \(-0.884774\pi\)
−0.160902 + 0.986970i \(0.551440\pi\)
\(90\) −3.57926 8.31736i −0.377287 0.876727i
\(91\) 15.8624 + 2.11826i 1.66283 + 0.222054i
\(92\) 4.81558 + 1.81867i 0.502059 + 0.189610i
\(93\) −0.136118 + 0.508001i −0.0141148 + 0.0526772i
\(94\) −11.9386 + 6.12382i −1.23138 + 0.631623i
\(95\) 3.80284 11.1254i 0.390163 1.14145i
\(96\) −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 \(0.852611\pi\)
\(98\) 4.48545 + 8.82501i 0.453099 + 0.891460i
\(99\) 2.67257i 0.268604i
\(100\) −9.72646 2.32293i −0.972646 0.232293i
\(101\) −1.30911 0.755818i −0.130262 0.0752067i 0.433453 0.901176i \(-0.357295\pi\)
−0.563715 + 0.825969i \(0.690628\pi\)
\(102\) −2.93219 0.943957i −0.290330 0.0934657i
\(103\) 1.19275 4.45140i 0.117525 0.438609i −0.881938 0.471365i \(-0.843762\pi\)
0.999463 + 0.0327554i \(0.0104282\pi\)
\(104\) 2.53896 16.9187i 0.248966 1.65902i
\(105\) −2.18255 + 0.134354i −0.212995 + 0.0131116i
\(106\) −6.10729 + 9.46038i −0.593192 + 0.918873i
\(107\) 3.25690 12.1549i 0.314856 1.17506i −0.609267 0.792965i \(-0.708536\pi\)
0.924123 0.382095i \(-0.124797\pi\)
\(108\) −3.35365 + 2.74593i −0.322705 + 0.264227i
\(109\) −2.15167 + 3.72680i −0.206092 + 0.356962i −0.950480 0.310785i \(-0.899408\pi\)
0.744388 + 0.667747i \(0.232741\pi\)
\(110\) 2.36599 + 1.76458i 0.225588 + 0.168246i
\(111\) 0.617418i 0.0586027i
\(112\) 9.51078 4.64166i 0.898685 0.438596i
\(113\) −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
\(115\) −2.53452 5.16701i −0.236345 0.481826i
\(116\) −1.02256 + 10.2634i −0.0949425 + 0.952930i
\(117\) −16.7295 4.48265i −1.54664 0.414421i
\(118\) 1.39496 0.300459i 0.128417 0.0276595i
\(119\) 9.51443 12.3520i 0.872186 1.13230i
\(120\) 0.105808 + 2.33527i 0.00965891 + 0.213180i
\(121\) 5.06442 + 8.77183i 0.460402 + 0.797439i
\(122\) −1.42481 + 4.42584i −0.128996 + 0.400697i
\(123\) −0.585815 2.18629i −0.0528211 0.197131i
\(124\) −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 −0.448897 0.893583i \(-0.648183\pi\)
0.893583 + 0.448897i \(0.148183\pi\)
\(128\) −4.79676 10.2465i −0.423977 0.905673i
\(129\) 3.20744 + 1.85182i 0.282400 + 0.163043i
\(130\) −15.0141 + 11.8506i −1.31683 + 1.03937i
\(131\) −2.74939 4.76208i −0.240215 0.416065i 0.720560 0.693392i \(-0.243885\pi\)
−0.960775 + 0.277327i \(0.910551\pi\)
\(132\) 0.243772 0.645474i 0.0212176 0.0561813i
\(133\) 5.34755 12.8427i 0.463691 1.11361i
\(134\) 1.55942 2.41560i 0.134714 0.208676i
\(135\) 4.83496 + 0.327171i 0.416127 + 0.0281584i
\(136\) −13.0383 10.3840i −1.11802 0.890418i
\(137\) −1.14935 + 0.307968i −0.0981959 + 0.0263115i −0.307582 0.951521i \(-0.599520\pi\)
0.209387 + 0.977833i \(0.432853\pi\)
\(138\) −0.997355 + 0.902925i −0.0849005 + 0.0768620i
\(139\) 7.23581i 0.613734i 0.951752 + 0.306867i \(0.0992806\pi\)
−0.951752 + 0.306867i \(0.900719\pi\)
\(140\) −11.3050 3.49238i −0.955448 0.295160i
\(141\) 3.50681i 0.295326i
\(142\) −11.9037 13.1486i −0.998933 1.10340i
\(143\) 5.45322 1.46119i 0.456021 0.122190i
\(144\) −10.8540 + 3.65710i −0.904499 + 0.304759i
\(145\) 8.68598 7.58496i 0.721332 0.629897i
\(146\) −3.94484 2.54665i −0.326477 0.210762i
\(147\) −2.58730 0.00959489i −0.213397 0.000791373i
\(148\) 1.18035 3.12539i 0.0970240 0.256906i
\(149\) 1.62968 + 2.82269i 0.133509 + 0.231244i 0.925027 0.379902i \(-0.124042\pi\)
−0.791518 + 0.611146i \(0.790709\pi\)
\(150\) 1.70041 1.98480i 0.138838 0.162058i
\(151\) −15.5929 9.00258i −1.26893 0.732620i −0.294148 0.955760i \(-0.595036\pi\)
−0.974786 + 0.223140i \(0.928369\pi\)
\(152\) −13.6350 5.93847i −1.10595 0.481673i
\(153\) −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
\(157\) −4.44696 16.5963i −0.354906 1.32453i −0.880603 0.473856i \(-0.842862\pi\)
0.525696 0.850672i \(-0.323805\pi\)
\(158\) 5.45058 + 1.75470i 0.433625 + 0.139596i
\(159\) −1.47151 2.54872i −0.116698 0.202127i
\(160\) −3.92884 + 12.0235i −0.310602 + 0.950540i
\(161\) −2.59425 6.29606i −0.204455 0.496199i
\(162\) 2.31941 + 10.7685i 0.182230 + 0.846055i
\(163\) 23.4014 + 6.27040i 1.83294 + 0.491135i 0.998226 0.0595442i \(-0.0189647\pi\)
0.834717 + 0.550680i \(0.185631\pi\)
\(164\) 1.21422 12.1870i 0.0948147 0.951647i
\(165\) −0.692579 + 0.339723i −0.0539172 + 0.0264474i
\(166\) 0.914889 18.4108i 0.0710092 1.42895i
\(167\) −0.324222 + 0.324222i −0.0250891 + 0.0250891i −0.719540 0.694451i \(-0.755647\pi\)
0.694451 + 0.719540i \(0.255647\pi\)
\(168\) −0.0550701 + 2.76541i −0.00424875 + 0.213356i
\(169\) 23.5862i 1.81432i
\(170\) 2.68498 + 18.4410i 0.205928 + 1.41436i
\(171\) −7.52795 + 13.0388i −0.575677 + 0.997101i
\(172\) 12.6960 + 15.5058i 0.968061 + 1.18231i
\(173\) −3.01895 + 11.2669i −0.229526 + 0.856605i 0.751014 + 0.660287i \(0.229565\pi\)
−0.980540 + 0.196318i \(0.937102\pi\)
\(174\) −2.26477 1.46206i −0.171692 0.110838i
\(175\) 6.54455 + 11.4965i 0.494722 + 0.869051i
\(176\) 2.46797 2.80139i 0.186030 0.211162i
\(177\) −0.0965257 + 0.360239i −0.00725531 + 0.0270772i
\(178\) 5.17457 16.0736i 0.387850 1.20477i
\(179\) −8.91929 5.14955i −0.666659 0.384896i 0.128151 0.991755i \(-0.459096\pi\)
−0.794810 + 0.606859i \(0.792429\pi\)
\(180\) 11.6468 + 5.32271i 0.868101 + 0.396732i
\(181\) 4.32971i 0.321825i 0.986969 + 0.160912i \(0.0514436\pi\)
−0.986969 + 0.160912i \(0.948556\pi\)
\(182\) −18.6407 + 12.8348i −1.38174 + 0.951380i
\(183\) −0.859272 0.859272i −0.0635192 0.0635192i
\(184\) −6.77482 + 2.66395i −0.499446 + 0.196389i
\(185\) −3.35348 + 1.64494i −0.246552 + 0.120939i
\(186\) −0.339455 0.661783i −0.0248901 0.0485243i
\(187\) 1.42359 5.31292i 0.104103 0.388519i
\(188\) 6.70413 17.7516i 0.488949 1.29467i
\(189\) 5.68343 + 0.758962i 0.413409 + 0.0552063i
\(190\) 6.57266 + 15.2733i 0.476831 + 1.10804i
\(191\) −18.9512 + 10.9415i −1.37126 + 0.791696i −0.991086 0.133221i \(-0.957468\pi\)
−0.380171 + 0.924916i \(0.624135\pi\)
\(192\) 2.95501 + 0.106764i 0.213259 + 0.00770501i
\(193\) −5.69064 21.2377i −0.409621 1.52873i −0.795371 0.606123i \(-0.792724\pi\)
0.385750 0.922603i \(-0.373943\pi\)
\(194\) 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 −0.675896 0.736997i \(-0.736243\pi\)
0.736997 + 0.675896i \(0.236243\pi\)
\(198\) −2.53664 2.80193i −0.180271 0.199124i
\(199\) −4.95165 + 8.57652i −0.351013 + 0.607973i −0.986427 0.164199i \(-0.947496\pi\)
0.635414 + 0.772172i \(0.280830\pi\)
\(200\) 12.4020 6.79638i 0.876953 0.480576i
\(201\) 0.375732 + 0.650787i 0.0265021 + 0.0459030i
\(202\) 2.08985 0.450129i 0.147041 0.0316709i
\(203\) 10.8402 8.28609i 0.760833 0.581569i
\(204\) 3.97005 1.79340i 0.277959 0.125563i
\(205\) −10.3140 + 9.00661i −0.720360 + 0.629049i
\(206\) 2.97450 + 5.79892i 0.207243 + 0.404030i
\(207\) 1.90742 + 7.11861i 0.132575 + 0.494777i
\(208\) 13.3963 + 20.1474i 0.928868 + 1.39697i
\(209\) 4.90769i 0.339472i
\(210\) 2.16066 2.21239i 0.149100 0.152670i
\(211\) 18.4290 1.26871 0.634354 0.773043i \(-0.281266\pi\)
0.634354 + 0.773043i \(0.281266\pi\)
\(212\) −2.57631 15.7149i −0.176941 1.07930i
\(213\) 4.47762 1.19978i 0.306802 0.0822073i
\(214\) 8.12213 + 15.8344i 0.555217 + 1.08242i
\(215\) 1.51270 22.3547i 0.103165 1.52458i
\(216\) 0.909699 6.06190i 0.0618972 0.412460i
\(217\) 3.73329 0.484457i 0.253432 0.0328871i
\(218\) −1.28143 5.94939i −0.0867893 0.402944i
\(219\) 1.06278 0.613597i 0.0718161 0.0414630i
\(220\) −4.15533 + 0.395655i −0.280152 + 0.0266751i
\(221\) 30.8694 + 17.8225i 2.07650 + 1.19887i
\(222\) 0.586013 + 0.647300i 0.0393306 + 0.0434440i
\(223\) −15.5226 15.5226i −1.03947 1.03947i −0.999188 0.0402785i \(-0.987175\pi\)
−0.0402785 0.999188i \(-0.512825\pi\)
\(224\) −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
\(227\) 20.3746 5.45937i 1.35231 0.362351i 0.491325 0.870977i \(-0.336513\pi\)
0.860988 + 0.508625i \(0.169846\pi\)
\(228\) 3.00744 2.46246i 0.199172 0.163080i
\(229\) 5.62790 + 9.74781i 0.371902 + 0.644153i 0.989858 0.142059i \(-0.0453724\pi\)
−0.617956 + 0.786213i \(0.712039\pi\)
\(230\) 7.56138 + 3.01149i 0.498582 + 0.198572i
\(231\) −0.843915 + 0.347729i −0.0555255 + 0.0228789i
\(232\) −8.66928 11.7307i −0.569166 0.770155i
\(233\) −15.1960 4.07176i −0.995523 0.266750i −0.275954 0.961171i \(-0.588994\pi\)
−0.719569 + 0.694421i \(0.755660\pi\)
\(234\) 21.7938 11.1789i 1.42471 0.730789i
\(235\) −19.0471 + 9.34294i −1.24249 + 0.609466i
\(236\) −1.17730 + 1.63901i −0.0766359 + 0.106690i
\(237\) −1.05822 + 1.05822i −0.0687390 + 0.0687390i
\(238\) 1.74876 + 21.9803i 0.113355 + 1.42477i
\(239\) −13.7719 −0.890831 −0.445415 0.895324i \(-0.646944\pi\)
−0.445415 + 0.895324i \(0.646944\pi\)
\(240\) −2.32741 2.34786i −0.150234 0.151554i
\(241\) −0.456648 + 0.790937i −0.0294153 + 0.0509487i −0.880358 0.474309i \(-0.842698\pi\)
0.850943 + 0.525258i \(0.176031\pi\)
\(242\) −13.6352 4.38956i −0.876503 0.282172i
\(243\) −9.06096 2.42788i −0.581261 0.155748i
\(244\) −2.70696 5.99238i −0.173295 0.383623i
\(245\) 6.84105 + 14.0784i 0.437058 + 0.899433i
\(246\) 2.68925 + 1.73609i 0.171461 + 0.110689i
\(247\) 30.7206 + 8.23156i 1.95471 + 0.523762i
\(248\) −0.453174 3.99892i −0.0287766 0.253932i
\(249\) 4.17230 + 2.40888i 0.264409 + 0.152656i
\(250\) −15.3106 3.94774i −0.968329 0.249677i
\(251\) 0.192874 0.0121741 0.00608705 0.999981i \(-0.498062\pi\)
0.00608705 + 0.999981i \(0.498062\pi\)
\(252\) 13.3411 + 7.18226i 0.840413 + 0.452440i
\(253\) −1.69866 1.69866i −0.106794 0.106794i
\(254\) −0.497446 + 10.0104i −0.0312126 + 0.628106i
\(255\) −4.60873 1.57533i −0.288610 0.0986510i
\(256\) 14.7543 + 6.18967i 0.922141 + 0.386854i
\(257\) −5.00515 + 18.6795i −0.312213 + 1.16519i 0.614343 + 0.789039i \(0.289421\pi\)
−0.926556 + 0.376156i \(0.877246\pi\)
\(258\) −5.12031 + 1.10285i −0.318776 + 0.0686607i
\(259\) −4.08625 + 1.68371i −0.253907 + 0.104621i
\(260\) 4.49296 26.6747i 0.278642 1.65429i
\(261\) −12.7884 + 7.38336i −0.791580 + 0.457019i
\(262\) 7.40232 + 2.38302i 0.457317 + 0.147223i
\(263\) −19.5636 + 5.24206i −1.20635 + 0.323239i −0.805327 0.592831i \(-0.798010\pi\)
−0.401018 + 0.916070i \(0.631344\pi\)
\(264\) 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
\(268\) 0.657830 + 4.01262i 0.0401833 + 0.245110i
\(269\) −2.29596 + 3.97672i −0.139987 + 0.242465i −0.927491 0.373844i \(-0.878039\pi\)
0.787504 + 0.616309i \(0.211373\pi\)
\(270\) −5.37950 + 4.24603i −0.327386 + 0.258405i
\(271\) 18.4195 10.6345i 1.11890 0.645999i 0.177782 0.984070i \(-0.443108\pi\)
0.941121 + 0.338071i \(0.109774\pi\)
\(272\) 23.5251 1.48854i 1.42642 0.0902561i
\(273\) −0.761195 5.86588i −0.0460696 0.355019i
\(274\) 0.912678 1.41377i 0.0551369 0.0854087i
\(275\) 3.69038 + 2.85661i 0.222538 + 0.172260i
\(276\) 0.188629 1.89325i 0.0113541 0.113960i
\(277\) 4.14367 + 15.4644i 0.248969 + 0.929164i 0.971347 + 0.237666i \(0.0763824\pi\)
−0.722378 + 0.691498i \(0.756951\pi\)
\(278\) −6.86777 7.58602i −0.411901 0.454979i
\(279\) −4.07426 −0.243920
\(280\) 15.1669 7.06858i 0.906396 0.422428i
\(281\) −18.0107 −1.07443 −0.537214 0.843446i \(-0.680523\pi\)
−0.537214 + 0.843446i \(0.680523\pi\)
\(282\) 3.32844 + 3.67653i 0.198205 + 0.218934i
\(283\) −0.969897 3.61970i −0.0576544 0.215169i 0.931089 0.364793i \(-0.118860\pi\)
−0.988743 + 0.149624i \(0.952194\pi\)
\(284\) 24.9596 + 2.48678i 1.48108 + 0.147563i
\(285\) −4.33582 0.293396i −0.256832 0.0173793i
\(286\) −4.33029 + 6.70775i −0.256055 + 0.396638i
\(287\) −12.8720 + 9.83914i −0.759808 + 0.580786i
\(288\) 7.90823 14.1360i 0.465997 0.832973i
\(289\) 15.3528 8.86395i 0.903106 0.521409i
\(290\) −1.90722 + 16.1962i −0.111996 + 0.951076i
\(291\) −1.15328 + 1.99754i −0.0676065 + 0.117098i
\(292\) 6.55288 1.07428i 0.383478 0.0628676i
\(293\) −6.03311 6.03311i −0.352458 0.352458i 0.508565 0.861023i \(-0.330176\pi\)
−0.861023 + 0.508565i \(0.830176\pi\)
\(294\) 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
\(297\) 1.95386 0.523536i 0.113375 0.0303786i
\(298\) −4.38767 1.41252i −0.254171 0.0818250i
\(299\) 13.4822 7.78396i 0.779696 0.450158i
\(300\) 0.101134 + 3.69478i 0.00583897 + 0.213318i
\(301\) 3.50911 26.2777i 0.202262 1.51462i
\(302\) 24.8923 5.36150i 1.43239 0.308520i
\(303\) −0.144609 + 0.539687i −0.00830756 + 0.0310042i
\(304\) 19.9314 6.71560i 1.14314 0.385166i
\(305\) −2.37780 + 6.95639i −0.136152 + 0.398322i
\(306\) 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 \(0.955308\pi\)
\(308\) −4.93671 + 0.146866i −0.281295 + 0.00836845i
\(309\) −1.70335 −0.0969002
\(310\) −2.69005 + 3.60688i −0.152785 + 0.204857i
\(311\) 3.12920 + 1.80664i 0.177441 + 0.102445i 0.586090 0.810246i \(-0.300667\pi\)
−0.408649 + 0.912692i \(0.634000\pi\)
\(312\) −6.28325 + 0.712043i −0.355719 + 0.0403115i
\(313\) −1.67996 0.450144i −0.0949570 0.0254437i 0.211028 0.977480i \(-0.432319\pi\)
−0.305985 + 0.952036i \(0.598986\pi\)
\(314\) 20.4143 + 13.1788i 1.15205 + 0.743721i
\(315\) −5.38147 16.0625i −0.303212 0.905019i
\(316\) −7.37983 + 3.33371i −0.415148 + 0.187536i
\(317\) 1.37898 + 0.369498i 0.0774515 + 0.0207531i 0.297337 0.954773i \(-0.403902\pi\)
−0.219885 + 0.975526i \(0.570568\pi\)
\(318\) 3.96181 + 1.27542i 0.222167 + 0.0715221i
\(319\) 2.40672 4.16856i 0.134750 0.233394i
\(320\) −7.29293 16.3344i −0.407687 0.913122i
\(321\) −4.65114 −0.259601
\(322\) 8.69562 + 4.13849i 0.484588 + 0.230629i
\(323\) 21.9105 21.9105i 1.21913 1.21913i
\(324\) −12.6525 9.08827i −0.702914 0.504904i
\(325\) −24.0713 + 18.3093i −1.33523 + 1.01562i
\(326\) −30.4855 + 15.6373i −1.68844 + 0.866068i
\(327\) 1.53639 + 0.411673i 0.0849623 + 0.0227656i
\(328\) 10.2942 + 13.9293i 0.568399 + 0.769119i
\(329\) −23.2090 + 9.56312i −1.27956 + 0.527232i
\(330\) 0.403656 1.01352i 0.0222205 0.0557923i
\(331\) 4.50741 + 7.80706i 0.247750 + 0.429115i 0.962901 0.269855i \(-0.0869757\pi\)
−0.715152 + 0.698969i \(0.753642\pi\)
\(332\) 16.5152 + 20.1702i 0.906388 + 1.10698i
\(333\) 4.62010 1.23795i 0.253180 0.0678393i
\(334\) 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 \(0.938692\pi\)
\(338\) −22.3865 24.7278i −1.21767 1.34501i
\(339\) 1.47963 + 0.854263i 0.0803623 + 0.0463972i
\(340\) −20.3179 16.7851i −1.10189 0.910300i
\(341\) 1.15014 0.664033i 0.0622835 0.0359594i
\(342\) −4.48328 20.8149i −0.242428 1.12554i
\(343\) 6.99211 + 17.1496i 0.377538 + 0.925994i
\(344\) −28.0276 4.20605i −1.51115 0.226775i
\(345\) −1.60228 + 1.39917i −0.0862636 + 0.0753290i
\(346\) −7.52873 14.6776i −0.404747 0.789071i
\(347\) 16.1957 4.33964i 0.869433 0.232964i 0.203590 0.979056i \(-0.434739\pi\)
0.665842 + 0.746092i \(0.268072\pi\)
\(348\) 3.76207 0.616756i 0.201668 0.0330616i
\(349\) −2.69468 −0.144243 −0.0721214 0.997396i \(-0.522977\pi\)
−0.0721214 + 0.997396i \(0.522977\pi\)
\(350\) −17.7730 5.84122i −0.950008 0.312226i
\(351\) 13.1087i 0.699689i
\(352\) 0.0714778 + 5.27941i 0.00380978 + 0.281394i
\(353\) 2.33442 + 8.71218i 0.124249 + 0.463703i 0.999812 0.0194013i \(-0.00617601\pi\)
−0.875563 + 0.483104i \(0.839509\pi\)
\(354\) −0.240718 0.469290i −0.0127940 0.0249425i
\(355\) −18.4459 21.1235i −0.979009 1.12112i
\(356\) 9.83105 + 21.7630i 0.521045 + 1.15343i
\(357\) −5.32011 2.21523i −0.281570 0.117242i
\(358\) 14.2386 3.06683i 0.752534 0.162087i
\(359\) −7.69847 13.3341i −0.406310 0.703749i 0.588163 0.808742i \(-0.299851\pi\)
−0.994473 + 0.104993i \(0.966518\pi\)
\(360\) −17.2625 + 5.47407i −0.909813 + 0.288509i
\(361\) 4.32370 7.48887i 0.227563 0.394151i
\(362\) −4.10948 4.53926i −0.215989 0.238578i
\(363\) 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
\(367\) 1.70324 + 6.35657i 0.0889083 + 0.331810i 0.996026 0.0890677i \(-0.0283888\pi\)
−0.907117 + 0.420878i \(0.861722\pi\)
\(368\) 4.57427 9.22310i 0.238450 0.480788i
\(369\) 15.1853 8.76722i 0.790514 0.456403i
\(370\) 1.95451 4.90746i 0.101610 0.255127i
\(371\) −12.8554 + 16.6893i −0.667417 + 0.866464i
\(372\) 0.984006 + 0.371623i 0.0510183 + 0.0192678i
\(373\) 0.491068 1.83269i 0.0254265 0.0948931i −0.952047 0.305953i \(-0.901025\pi\)
0.977473 + 0.211060i \(0.0676916\pi\)
\(374\) 3.55019 + 6.92124i 0.183576 + 0.357889i
\(375\) 2.74437 3.08958i 0.141718 0.159545i
\(376\) 9.82007 + 24.9739i 0.506431 + 1.28793i
\(377\) 22.0571 + 22.0571i 1.13600 + 1.13600i
\(378\) −6.67886 + 4.59865i −0.343524 + 0.236529i
\(379\) 8.18575i 0.420473i −0.977651 0.210237i \(-0.932577\pi\)
0.977651 0.210237i \(-0.0674235\pi\)
\(380\) −21.3872 9.77419i −1.09714 0.501405i
\(381\) −2.26857 1.30976i −0.116223 0.0671011i
\(382\) 9.48345 29.4582i 0.485216 1.50721i
\(383\) −9.33107 + 34.8240i −0.476796 + 1.77943i 0.137666 + 0.990479i \(0.456040\pi\)
−0.614462 + 0.788947i \(0.710627\pi\)
\(384\) −3.19936 + 2.69277i −0.163267 + 0.137415i
\(385\) 4.13706 + 3.65726i 0.210844 + 0.186391i
\(386\) 26.1236 + 16.8645i 1.32965 + 0.858378i
\(387\) −7.42596 + 27.7141i −0.377483 + 1.40878i
\(388\) −9.65674 + 7.90685i −0.490247 + 0.401409i
\(389\) 4.99176 8.64599i 0.253092 0.438369i −0.711283 0.702906i \(-0.751886\pi\)
0.964376 + 0.264537i \(0.0852190\pi\)
\(390\) 5.66725 + 4.22671i 0.286972 + 0.214028i
\(391\) 15.1674i 0.767048i
\(392\) 18.4524 7.17685i 0.931989 0.362486i
\(393\) −1.43715 + 1.43715i −0.0724947 + 0.0724947i
\(394\) −0.0851271 + 1.71306i −0.00428864 + 0.0863025i
\(395\) 8.56704 + 2.92834i 0.431055 + 0.147341i
\(396\) 5.31881 + 0.529925i 0.267281 + 0.0266297i
\(397\) −23.7461 6.36274i −1.19178 0.319337i −0.392191 0.919884i \(-0.628283\pi\)
−0.799589 + 0.600547i \(0.794949\pi\)
\(398\) −2.94897 13.6914i −0.147818 0.686288i
\(399\) −5.09671 0.680611i −0.255154 0.0340731i
\(400\) −6.55155 + 18.8965i −0.327578 + 0.944824i
\(401\) −0.336778 0.583317i −0.0168179 0.0291295i 0.857494 0.514494i \(-0.172020\pi\)
−0.874312 + 0.485365i \(0.838687\pi\)
\(402\) −1.01160 0.325664i −0.0504541 0.0162426i
\(403\) 2.22753 + 8.31327i 0.110961 + 0.414113i
\(404\) −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
\(408\) −2.46002 + 5.64832i −0.121789 + 0.279634i
\(409\) 16.9971 + 9.81326i 0.840450 + 0.485234i 0.857417 0.514622i \(-0.172068\pi\)
−0.0169669 + 0.999856i \(0.505401\pi\)
\(410\) 2.26469 19.2319i 0.111845 0.949796i
\(411\) 0.219903 + 0.380883i 0.0108470 + 0.0187876i
\(412\) −8.62243 3.25638i −0.424797 0.160430i
\(413\) 2.64739 0.343543i 0.130270 0.0169046i
\(414\) −8.75627 5.65274i −0.430347 0.277817i
\(415\) 1.96774 29.0794i 0.0965927 1.42745i
\(416\) −33.1673 8.40760i −1.62616 0.412217i
\(417\) 2.58335 0.692206i 0.126507 0.0338975i
\(418\) 4.65807 + 5.14522i 0.227834 + 0.251661i
\(419\) 18.0799i 0.883263i 0.897197 + 0.441631i \(0.145600\pi\)
−0.897197 + 0.441631i \(0.854400\pi\)
\(420\) −0.165378 + 4.37024i −0.00806962 + 0.213246i
\(421\) 16.5073i 0.804518i 0.915526 + 0.402259i \(0.131775\pi\)
−0.915526 + 0.402259i \(0.868225\pi\)
\(422\) −19.3210 + 17.4917i −0.940531 + 0.851481i
\(423\) 26.2412 7.03131i 1.27589 0.341874i
\(424\) 17.6166 + 14.0302i 0.855537 + 0.681368i
\(425\) 3.72238 + 29.2291i 0.180562 + 1.41782i
\(426\) −3.55559 + 5.50772i −0.172269 + 0.266850i
\(427\) −3.34366 + 8.03016i −0.161811 + 0.388606i
\(428\) −23.5443 8.89182i −1.13806 0.429802i
\(429\) −1.04335 1.80714i −0.0503735 0.0872494i
\(430\) 19.6318 + 24.8725i 0.946728 + 1.19946i
\(431\) −14.3957 8.31135i −0.693416 0.400344i 0.111475 0.993767i \(-0.464443\pi\)
−0.804890 + 0.593423i \(0.797776\pi\)
\(432\) 4.79984 + 7.21872i 0.230932 + 0.347311i
\(433\) 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
\(437\) −3.50264 13.0720i −0.167554 0.625319i
\(438\) −0.531832 + 1.65202i −0.0254119 + 0.0789365i
\(439\) 0.223132 + 0.386476i 0.0106495 + 0.0184455i 0.871301 0.490749i \(-0.163277\pi\)
−0.860652 + 0.509194i \(0.829943\pi\)
\(440\) 3.98091 4.35878i 0.189783 0.207796i
\(441\) −5.11585 19.3798i −0.243612 0.922848i
\(442\) −49.2794 + 10.6142i −2.34398 + 0.504866i
\(443\) −37.3383 10.0048i −1.77400 0.475341i −0.784528 0.620094i \(-0.787095\pi\)
−0.989468 + 0.144753i \(0.953761\pi\)
\(444\) −1.22875 0.122423i −0.0583140 0.00580995i
\(445\) 8.63561 25.2640i 0.409367 1.19763i
\(446\) 31.0068 + 1.54083i 1.46822 + 0.0729602i
\(447\) 0.851862 0.851862i 0.0402917 0.0402917i
\(448\) −7.35176 19.8482i −0.347338 0.937740i
\(449\) 31.7000i 1.49602i −0.663689 0.748008i \(-0.731010\pi\)
0.663689 0.748008i \(-0.268990\pi\)
\(450\) 18.2615 + 8.74444i 0.860856 + 0.412217i
\(451\) −2.85781 + 4.94987i −0.134569 + 0.233080i
\(452\) 5.85680 + 7.15299i 0.275480 + 0.336448i
\(453\) −1.72244 + 6.42824i −0.0809274 + 0.302025i
\(454\) −16.1791 + 25.0619i −0.759322 + 1.17621i
\(455\) −29.8323 + 19.7624i −1.39856 + 0.926478i
\(456\) −0.815787 + 5.43610i −0.0382027 + 0.254569i
\(457\) −7.27728 + 27.1592i −0.340417 + 1.27045i 0.557459 + 0.830205i \(0.311776\pi\)
−0.897876 + 0.440249i \(0.854890\pi\)
\(458\) −15.1523 4.87796i −0.708019 0.227932i
\(459\) 11.0604 + 6.38571i 0.516254 + 0.298059i
\(460\) −10.7857 + 4.01953i −0.502884 + 0.187411i
\(461\) 3.03886i 0.141534i −0.997493 0.0707669i \(-0.977455\pi\)
0.997493 0.0707669i \(-0.0225447\pi\)
\(462\) 0.554718 1.16555i 0.0258078 0.0542263i
\(463\) 4.72295 + 4.72295i 0.219494 + 0.219494i 0.808285 0.588791i \(-0.200396\pi\)
−0.588791 + 0.808285i \(0.700396\pi\)
\(464\) 20.2229 + 4.07010i 0.938822 + 0.188950i
\(465\) −0.517898 1.05582i −0.0240169 0.0489623i
\(466\) 19.7961 10.1542i 0.917038 0.470386i
\(467\) 2.85433 10.6525i 0.132082 0.492939i −0.867910 0.496721i \(-0.834537\pi\)
0.999993 + 0.00378232i \(0.00120395\pi\)
\(468\) −12.2383 + 32.4053i −0.565715 + 1.49793i
\(469\) 3.28247 4.26141i 0.151570 0.196774i
\(470\) 11.1012 27.8734i 0.512060 1.28570i
\(471\) −5.49983 + 3.17533i −0.253419 + 0.146311i
\(472\) −0.321360 2.83576i −0.0147918 0.130526i
\(473\) −2.42060 9.03381i −0.111299 0.415375i
\(474\) 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
\(478\) 14.4385 13.0714i 0.660400 0.597872i
\(479\) 4.81272 8.33587i 0.219899 0.380876i −0.734878 0.678199i \(-0.762761\pi\)
0.954777 + 0.297323i \(0.0960940\pi\)
\(480\) 4.66850 + 0.252469i 0.213087 + 0.0115236i
\(481\) −5.05192 8.75018i −0.230348 0.398974i
\(482\) −0.271957 1.26264i −0.0123873 0.0575116i
\(483\) −1.99966 + 1.52851i −0.0909876 + 0.0695495i
\(484\) 18.4614 8.33963i 0.839155 0.379074i
\(485\) 13.9221 + 0.942081i 0.632172 + 0.0427777i
\(486\) 11.8039 6.05470i 0.535436 0.274647i
\(487\) −8.52972 31.8333i −0.386518 1.44251i −0.835760 0.549096i \(-0.814972\pi\)
0.449241 0.893410i \(-0.351694\pi\)
\(488\) 8.52556 + 3.71314i 0.385934 + 0.168086i
\(489\) 8.95469i 0.404945i
\(490\) −20.5344 8.26666i −0.927650 0.373450i
\(491\) −29.0829 −1.31250 −0.656248 0.754546i \(-0.727857\pi\)
−0.656248 + 0.754546i \(0.727857\pi\)
\(492\) −4.46720 + 0.732354i −0.201397 + 0.0330171i
\(493\) 29.3554 7.86575i 1.32210 0.354256i
\(494\) −40.0203 + 20.5281i −1.80060 + 0.923601i
\(495\) −3.93078 4.50136i −0.176675 0.202321i
\(496\) 4.27063 + 3.76235i 0.191757 + 0.168934i
\(497\) −20.1510 26.3624i −0.903897 1.18251i
\(498\) −6.66059 + 1.43461i −0.298468 + 0.0642865i
\(499\) 2.03353 1.17406i 0.0910334 0.0525581i −0.453792 0.891108i \(-0.649929\pi\)
0.544826 + 0.838549i \(0.316596\pi\)
\(500\) 19.7986 10.3931i 0.885420 0.464792i
\(501\) 0.146771 + 0.0847382i 0.00655724 + 0.00378583i
\(502\) −0.202209 + 0.183064i −0.00902502 + 0.00817052i
\(503\) −3.87893 3.87893i −0.172953 0.172953i 0.615322 0.788276i \(-0.289026\pi\)
−0.788276 + 0.615322i \(0.789026\pi\)
\(504\) −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
\(507\) 8.42080 2.25635i 0.373981 0.100208i
\(508\) −8.97968 10.9670i −0.398409 0.486582i
\(509\) 6.06913 + 10.5120i 0.269009 + 0.465938i 0.968606 0.248600i \(-0.0799704\pi\)
−0.699597 + 0.714538i \(0.746637\pi\)
\(510\) 6.32699 2.72273i 0.280164 0.120565i
\(511\) −6.95918 5.36050i −0.307856 0.237134i
\(512\) −21.3432 + 7.51454i −0.943245 + 0.332099i
\(513\) 11.0070 + 2.94933i 0.485973 + 0.130216i
\(514\) −12.4820 24.3341i −0.550556 1.07333i
\(515\) 4.53812 + 9.25167i 0.199973 + 0.407677i
\(516\) 4.32137 6.01610i 0.190238 0.264844i
\(517\) −6.26175 + 6.26175i −0.275391 + 0.275391i
\(518\) 2.68595 5.64360i 0.118014 0.247966i
\(519\) 4.31133 0.189246
\(520\) 20.6075 + 32.2301i 0.903697 + 1.41338i
\(521\) −2.07706 + 3.59757i −0.0909976 + 0.157612i −0.907931 0.419119i \(-0.862339\pi\)
0.816934 + 0.576732i \(0.195672\pi\)
\(522\) 6.39950 19.8786i 0.280098 0.870063i
\(523\) 5.04706 + 1.35236i 0.220693 + 0.0591344i 0.367471 0.930035i \(-0.380224\pi\)
−0.146778 + 0.989169i \(0.546890\pi\)
\(524\) −10.0224 + 4.52745i −0.437830 + 0.197782i
\(525\) 3.47842 3.43635i 0.151811 0.149975i
\(526\) 15.5351 24.0643i 0.677362 1.04925i
\(527\) 8.09939 + 2.17022i 0.352815 + 0.0945364i
\(528\) −1.23625 0.613129i −0.0538010 0.0266830i
\(529\) 14.1817 + 8.18783i 0.616597 + 0.355992i
\(530\) −3.62779 24.9164i −0.157581 1.08230i
\(531\) −2.88918 −0.125380
\(532\) −24.4986 13.1889i −1.06215 0.571811i
\(533\) −26.1913 26.1913i −1.13447 1.13447i
\(534\) −6.23366 0.309770i −0.269757 0.0134051i
\(535\) 12.3917 + 25.2625i 0.535741 + 1.09219i
\(536\) −4.49819 3.58245i −0.194292 0.154738i
\(537\) −0.985252 + 3.67701i −0.0425168 + 0.158675i
\(538\) −1.36736 6.34836i −0.0589512 0.273697i
\(539\) 4.60274 + 4.63701i 0.198254 + 0.199730i
\(540\) 1.60981 9.55741i 0.0692751 0.411285i
\(541\) 17.3067 9.99202i 0.744073 0.429591i −0.0794756 0.996837i \(-0.525325\pi\)
0.823548 + 0.567246i \(0.191991\pi\)
\(542\) −9.21739 + 28.6318i −0.395921 + 1.22984i
\(543\) 1.54580 0.414196i 0.0663367 0.0177749i
\(544\) −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 \(0.640536\pi\)
\(548\) 0.385005 + 2.34845i 0.0164466 + 0.100321i
\(549\) 4.70699 8.15275i 0.200890 0.347951i
\(550\) −6.58030 + 0.507803i −0.280585 + 0.0216528i
\(551\) 23.4835 13.5582i 1.00043 0.577599i
\(552\) 1.59919 + 2.16392i 0.0680662 + 0.0921025i
\(553\) 9.88942 + 4.11783i 0.420541 + 0.175108i
\(554\) −19.0220 12.2799i −0.808168 0.521725i
\(555\) 0.908088 + 1.03990i 0.0385462 + 0.0441415i
\(556\) 14.4003 + 1.43474i 0.610710 + 0.0608464i
\(557\) 2.39608 + 8.94229i 0.101525 + 0.378897i 0.997928 0.0643436i \(-0.0204954\pi\)
−0.896403 + 0.443241i \(0.853829\pi\)
\(558\) 4.27145 3.86702i 0.180825 0.163704i
\(559\) 60.6088 2.56348
\(560\) −9.19194 + 21.8062i −0.388430 + 0.921478i
\(561\) −2.03302 −0.0858340
\(562\) 18.8824 17.0946i 0.796507 0.721093i
\(563\) 7.03083 + 26.2394i 0.296314 + 1.10586i 0.940168 + 0.340711i \(0.110668\pi\)
−0.643854 + 0.765149i \(0.722666\pi\)
\(564\) −6.97906 0.695339i −0.293871 0.0292791i
\(565\) 0.697823 10.3125i 0.0293576 0.433849i
\(566\) 4.45243 + 2.87433i 0.187150 + 0.120817i
\(567\) 2.65200 + 20.4367i 0.111374 + 0.858261i
\(568\) −28.5279 + 21.0829i −1.19700 + 0.884619i
\(569\) −3.24556 + 1.87383i −0.136061 + 0.0785549i −0.566485 0.824072i \(-0.691697\pi\)
0.430424 + 0.902627i \(0.358364\pi\)
\(570\) 4.82415 3.80769i 0.202061 0.159487i
\(571\) 0.0783914 0.135778i 0.00328058 0.00568213i −0.864380 0.502838i \(-0.832289\pi\)
0.867661 + 0.497156i \(0.165622\pi\)
\(572\) −1.82669 11.1424i −0.0763779 0.465888i
\(573\) 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
\(577\) 25.3513 6.79286i 1.05539 0.282791i 0.310912 0.950439i \(-0.399366\pi\)
0.744477 + 0.667648i \(0.232699\pi\)
\(578\) −7.68278 + 23.8649i −0.319562 + 0.992647i
\(579\) −7.03796 + 4.06337i −0.292488 + 0.168868i
\(580\) −13.3729 18.7903i −0.555280 0.780227i
\(581\) 4.56471 34.1825i 0.189376 1.41813i
\(582\) −0.686838 3.18884i −0.0284704 0.132182i
\(583\) −1.92348 + 7.17852i −0.0796623 + 0.297304i
\(584\) −5.85040 + 7.34585i −0.242091 + 0.303974i
\(585\) 34.7701 17.0554i 1.43757 0.705153i
\(586\) 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 \(0.907075\pi\)
\(588\) −0.532112 + 5.14720i −0.0219439 + 0.212267i
\(589\) 7.48163 0.308275
\(590\) −1.90760 + 2.55775i −0.0785346 + 0.105301i
\(591\) −0.388217 0.224137i −0.0159691 0.00921977i
\(592\) −5.98595 2.96878i −0.246021 0.122016i
\(593\) 44.5589 + 11.9395i 1.82981 + 0.490297i 0.997910 0.0646222i \(-0.0205842\pi\)
0.831904 + 0.554919i \(0.187251\pi\)
\(594\) −1.55152 + 2.40335i −0.0636597 + 0.0986108i
\(595\) 2.14209 + 34.7978i 0.0878172 + 1.42657i
\(596\) 5.94071 2.68361i 0.243341 0.109925i
\(597\) 3.53570 + 0.947388i 0.144707 + 0.0387740i
\(598\) −6.74671 + 20.9571i −0.275893 + 0.857001i
\(599\) −12.3081 + 21.3182i −0.502894 + 0.871038i 0.497101 + 0.867693i \(0.334398\pi\)
−0.999994 + 0.00334470i \(0.998935\pi\)
\(600\) −3.61288 3.77762i −0.147495 0.154221i
\(601\) 12.8434 0.523893 0.261947 0.965082i \(-0.415636\pi\)
0.261947 + 0.965082i \(0.415636\pi\)
\(602\) 21.2622 + 30.8802i 0.866581 + 1.25858i
\(603\) −4.11643 + 4.11643i −0.167634 + 0.167634i
\(604\) −21.0083 + 29.2472i −0.854814 + 1.19005i
\(605\) −21.4314 7.32555i −0.871308 0.297826i
\(606\) −0.360629 0.703061i −0.0146495 0.0285599i
\(607\) 5.93369 + 1.58993i 0.240841 + 0.0645332i 0.377220 0.926124i \(-0.376880\pi\)
−0.136379 + 0.990657i \(0.543547\pi\)
\(608\) −14.5220 + 25.9582i −0.588945 + 1.05274i
\(609\) −3.99533 3.07751i −0.161899 0.124707i
\(610\) −4.10968 9.54993i −0.166396 0.386665i
\(611\) −28.6939 49.6992i −1.16083 2.01062i
\(612\) 21.3801 + 26.1118i 0.864237 + 1.05551i
\(613\) 3.30445 0.885426i 0.133466 0.0357620i −0.191468 0.981499i \(-0.561325\pi\)
0.324933 + 0.945737i \(0.394658\pi\)
\(614\) 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 \(0.610851\pi\)
\(618\) 1.78579 1.61671i 0.0718351 0.0650337i
\(619\) −35.1024 20.2664i −1.41088 0.814574i −0.415412 0.909633i \(-0.636363\pi\)
−0.995472 + 0.0950590i \(0.969696\pi\)
\(620\) −0.603164 6.33467i −0.0242237 0.254407i
\(621\) 4.83061 2.78895i 0.193846 0.111917i
\(622\) −4.99540 + 1.07595i −0.200297 + 0.0431417i
\(623\) 12.1434 29.1637i 0.486515 1.16842i
\(624\) 5.91153 6.71016i 0.236651 0.268622i
\(625\) −24.0925 6.67453i −0.963702 0.266981i
\(626\) 2.18852 1.12258i 0.0874708 0.0448673i
\(627\) −1.75216 + 0.469489i −0.0699744 + 0.0187496i
\(628\) −33.9108 + 5.55935i −1.35319 + 0.221842i
\(629\) −9.84389 −0.392502
\(630\) 20.8874 + 11.7322i 0.832175 + 0.467420i
\(631\) 40.4404i 1.60991i 0.593339 + 0.804953i \(0.297809\pi\)
−0.593339 + 0.804953i \(0.702191\pi\)
\(632\) 4.57286 10.4995i 0.181899 0.417648i
\(633\) −1.76299 6.57958i −0.0700727 0.261515i
\(634\) −1.79643 + 0.921462i −0.0713453 + 0.0365959i
\(635\) −1.06991 + 15.8112i −0.0424579 + 0.627447i
\(636\) −5.36411 + 2.42315i −0.212701 + 0.0960840i
\(637\) −36.7463 + 21.0342i −1.45594 + 0.833404i
\(638\) 1.43332 + 6.65461i 0.0567459 + 0.263459i
\(639\) 17.9557 + 31.1002i 0.710316 + 1.23030i
\(640\) 23.1495 + 10.2030i 0.915064 + 0.403309i
\(641\) −7.27169 + 12.5949i −0.287214 + 0.497470i −0.973144 0.230198i \(-0.926063\pi\)
0.685929 + 0.727668i \(0.259396\pi\)
\(642\) 4.87626 4.41457i 0.192450 0.174229i
\(643\) 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
\(647\) −8.28233 30.9101i −0.325612 1.21520i −0.913695 0.406400i \(-0.866784\pi\)
0.588083 0.808800i \(-0.299883\pi\)
\(648\) 21.8908 2.48076i 0.859953 0.0974534i
\(649\) 0.815598 0.470886i 0.0320150 0.0184839i
\(650\) 7.85830 42.0423i 0.308228 1.64904i
\(651\) −0.530103 1.28652i −0.0207764 0.0504228i
\(652\) 17.1191 45.3290i 0.670436 1.77522i
\(653\) −7.65587 + 28.5721i −0.299597 + 1.11811i 0.637900 + 0.770119i \(0.279803\pi\)
−0.937497 + 0.347993i \(0.886863\pi\)
\(654\) −2.00148 + 1.02664i −0.0782640 + 0.0401448i
\(655\) 11.6347 + 3.97692i 0.454606 + 0.155391i
\(656\) −24.0132 4.83295i −0.937558 0.188695i
\(657\) 6.72243 + 6.72243i 0.262267 + 0.262267i
\(658\) 15.2557 32.0545i 0.594727 1.24961i
\(659\) 19.7431i 0.769080i −0.923108 0.384540i \(-0.874360\pi\)
0.923108 0.384540i \(-0.125640\pi\)
\(660\) 0.538772 + 1.44570i 0.0209717 + 0.0562736i
\(661\) −7.75340 4.47643i −0.301572 0.174113i 0.341577 0.939854i \(-0.389039\pi\)
−0.643149 + 0.765741i \(0.722372\pi\)
\(662\) −12.1355 3.90678i −0.471661 0.151841i
\(663\) 3.40993 12.7260i 0.132431 0.494238i
\(664\) −36.4588 5.47131i −1.41487 0.212328i
\(665\) 9.88209 + 29.4958i 0.383211 + 1.14380i
\(666\) −3.66872 + 5.68296i −0.142160 + 0.220210i
\(667\) 3.43536 12.8209i 0.133018 0.496429i
\(668\) 0.580962 + 0.709538i 0.0224781 + 0.0274528i
\(669\) −4.05695 + 7.02684i −0.156851 + 0.271673i
\(670\) 0.926313 + 6.36211i 0.0357866 + 0.245790i
\(671\) 3.06863i 0.118463i
\(672\) 5.49265 + 0.657930i 0.211884 + 0.0253802i
\(673\) 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
\(675\) −8.62462 + 6.56013i −0.331962 + 0.252499i
\(676\) 46.9400 + 4.67674i 1.80539 + 0.179875i
\(677\) 20.1844 + 5.40838i 0.775748 + 0.207861i 0.624909 0.780697i \(-0.285136\pi\)
0.150839 + 0.988558i \(0.451803\pi\)
\(678\) −2.36205 + 0.508758i −0.0907140 + 0.0195387i
\(679\) 16.3653 + 2.18541i 0.628043 + 0.0838684i
\(680\) 37.2326 1.68697i 1.42781 0.0646922i
\(681\) −3.89823 6.75194i −0.149381 0.258735i
\(682\) −0.575547 + 1.78781i −0.0220388 + 0.0684587i
\(683\) 11.5349 + 43.0488i 0.441370 + 1.64722i 0.725347 + 0.688384i \(0.241680\pi\)
−0.283977 + 0.958831i \(0.591654\pi\)
\(684\) 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
\(688\) 33.3762 22.1924i 1.27246 0.846076i
\(689\) −41.7090 24.0807i −1.58899 0.917403i
\(690\) 0.351819 2.98767i 0.0133935 0.113739i
\(691\) −0.909913 1.57602i −0.0346147 0.0599544i 0.848199 0.529678i \(-0.177687\pi\)
−0.882814 + 0.469723i \(0.844354\pi\)
\(692\) 21.8241 + 8.24218i 0.829629 + 0.313321i
\(693\) −4.29412 5.61775i −0.163120 0.213401i
\(694\) −12.8607 + 19.9216i −0.488186 + 0.756215i
\(695\) −10.6423 12.1871i −0.403686 0.462284i
\(696\) −3.35877 + 4.21732i −0.127314 + 0.159857i
\(697\) −34.8574 + 9.34002i −1.32032 + 0.353779i
\(698\) 2.82510 2.55762i 0.106932 0.0968072i
\(699\) 5.81483i 0.219937i
\(700\) 24.1773 10.7451i 0.913817 0.406125i
\(701\) 5.61667i 0.212139i 0.994359 + 0.106069i \(0.0338266\pi\)
−0.994359 + 0.106069i \(0.966173\pi\)
\(702\) −12.4419 13.7431i −0.469589 0.518701i
\(703\) −8.48396 + 2.27327i −0.319979 + 0.0857380i
\(704\) −5.08581 5.46709i −0.191679 0.206049i
\(705\) 5.15775 + 5.90644i 0.194252 + 0.222449i
\(706\) −10.7164 6.91816i −0.403319 0.260368i
\(707\) 3.96616 0.514675i 0.149163 0.0193563i
\(708\) 0.697788 + 0.263529i 0.0262245 + 0.00990404i
\(709\) −23.2036 40.1899i −0.871431 1.50936i −0.860517 0.509422i \(-0.829859\pi\)
−0.0109136 0.999940i \(-0.503474\pi\)
\(710\) 39.3878 + 4.63819i 1.47820 + 0.174068i
\(711\) −10.0404 5.79683i −0.376544 0.217398i
\(712\) −30.9629 13.4853i −1.16038 0.505382i
\(713\) 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
\(717\) 1.31747 + 4.91688i 0.0492019 + 0.183624i
\(718\) 20.7270 + 6.67261i 0.773524 + 0.249020i
\(719\) −4.65550 8.06357i −0.173621 0.300720i 0.766062 0.642766i \(-0.222213\pi\)
−0.939683 + 0.342046i \(0.888880\pi\)
\(720\) 12.9023 22.1234i 0.480842 0.824492i
\(721\) 4.64507 + 11.2733i 0.172991 + 0.419838i
\(722\) 2.57499 + 11.9551i 0.0958312 + 0.444923i
\(723\) 0.326067 + 0.0873694i 0.0121266 + 0.00324930i
\(724\) 8.61675 + 0.858506i 0.320239 + 0.0319061i
\(725\) −3.47378 + 25.5504i −0.129013 + 0.948918i
\(726\) −0.262776 + 5.28799i −0.00975255 + 0.196256i
\(727\) −25.4562 + 25.4562i −0.944119 + 0.944119i −0.998519 0.0543998i \(-0.982675\pi\)
0.0543998 + 0.998519i \(0.482675\pi\)
\(728\) 21.8470 + 39.6426i 0.809705 + 1.46925i
\(729\) 19.9001i 0.737042i
\(730\) 10.3898 1.51273i 0.384543 0.0559888i
\(731\) 29.5247 51.1383i 1.09201 1.89142i
\(732\) −1.88046 + 1.53970i −0.0695036 + 0.0569089i
\(733\) −5.71047 + 21.3118i −0.210921 + 0.787168i 0.776642 + 0.629943i \(0.216922\pi\)
−0.987563 + 0.157225i \(0.949745\pi\)
\(734\) −7.81892 5.04762i −0.288602 0.186311i
\(735\) 4.37185 3.78920i 0.161258 0.139767i
\(736\) 3.95832 + 14.0111i 0.145906 + 0.516456i
\(737\) 0.491138 1.83295i 0.0180913 0.0675176i
\(738\) −7.59895 + 23.6044i −0.279721 + 0.868891i
\(739\) −18.0851 10.4414i −0.665270 0.384094i 0.129012 0.991643i \(-0.458819\pi\)
−0.794282 + 0.607549i \(0.792153\pi\)
\(740\) 2.60874 + 7.00007i 0.0958993 + 0.257328i
\(741\) 11.7554i 0.431845i
\(742\) −2.36283 29.6985i −0.0867421 1.09027i
\(743\) 19.7220 + 19.7220i 0.723531 + 0.723531i 0.969323 0.245792i \(-0.0790480\pi\)
−0.245792 + 0.969323i \(0.579048\pi\)
\(744\) −1.38435 + 0.544346i −0.0507528 + 0.0199567i
\(745\) −6.89640 2.35729i −0.252665 0.0863645i
\(746\) 1.22464 + 2.38748i 0.0448371 + 0.0874119i
\(747\) −9.65982 + 36.0509i −0.353434 + 1.31903i
\(748\) −10.2912 3.88662i −0.376284 0.142109i
\(749\) 12.6837 + 30.7826i 0.463454 + 1.12477i
\(750\) 0.0552422 + 5.84389i 0.00201716 + 0.213389i
\(751\) −11.7027 + 6.75653i −0.427036 + 0.246549i −0.698083 0.716017i \(-0.745963\pi\)
0.271047 + 0.962566i \(0.412630\pi\)
\(752\) −33.9990 16.8620i −1.23981 0.614896i
\(753\) −0.0184511 0.0688603i −0.000672394 0.00250941i
\(754\) −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 −0.316225 0.948684i \(-0.602415\pi\)
0.948684 + 0.316225i \(0.102415\pi\)
\(758\) 7.76938 + 8.58193i 0.282197 + 0.311710i
\(759\) −0.443960 + 0.768961i −0.0161147 + 0.0279115i
\(760\) 31.6994 10.0521i 1.14986 0.364629i
\(761\) −8.67408 15.0240i −0.314435 0.544618i 0.664882 0.746948i \(-0.268482\pi\)
−0.979317 + 0.202330i \(0.935148\pi\)
\(762\) 3.62151 0.780031i 0.131194 0.0282575i
\(763\) −1.46518 11.2909i −0.0530430 0.408757i
\(764\) 18.0174 + 39.8851i 0.651847 + 1.44299i
\(765\) 2.54738 37.6454i 0.0921007 1.36107i
\(766\) −23.2701 45.3660i −0.840781 1.63914i
\(767\) 1.57961 + 5.89519i 0.0570364 + 0.212863i
\(768\) 0.798402 5.85972i 0.0288099 0.211445i
\(769\) 33.6019i 1.21171i −0.795573 0.605857i \(-0.792830\pi\)
0.795573 0.605857i \(-0.207170\pi\)
\(770\) −7.80852 + 0.0923667i −0.281400 + 0.00332867i
\(771\) 7.14781 0.257422
\(772\) −43.3946 + 7.11413i −1.56181 + 0.256043i
\(773\) 20.2928 5.43743i 0.729880 0.195571i 0.125304 0.992118i \(-0.460009\pi\)
0.604576 + 0.796548i \(0.293343\pi\)
\(774\) −18.5190 36.1036i −0.665653 1.29772i
\(775\) −4.35482 + 5.62587i −0.156430 + 0.202087i
\(776\) 2.61946 17.4551i 0.0940330 0.626601i
\(777\) 0.992028 + 1.29781i 0.0355888 + 0.0465587i
\(778\) 2.97285 + 13.8023i 0.106582 + 0.494837i
\(779\) −27.8850 + 16.0994i −0.999083 + 0.576821i
\(780\) −9.95326 + 0.947713i −0.356384 + 0.0339336i
\(781\) −10.1376 5.85292i −0.362750 0.209434i
\(782\) 14.3959 + 15.9015i 0.514797 + 0.568636i
\(783\) 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
\(787\) −14.9562 + 4.00750i −0.533130 + 0.142852i −0.515333 0.856990i \(-0.672332\pi\)
−0.0177970 + 0.999842i \(0.505665\pi\)
\(788\) −1.53668 1.87676i −0.0547418 0.0668570i
\(789\) 3.74306 + 6.48318i 0.133257 + 0.230807i
\(790\) −11.7611 + 5.06121i −0.418440 + 0.180070i
\(791\) 1.61879 12.1222i 0.0575575 0.431015i
\(792\) −6.07921 + 4.49270i −0.216015 + 0.159641i
\(793\) −19.2086 5.14694i −0.682119 0.182773i
\(794\) 30.9345 15.8675i 1.09782 0.563118i
\(795\) 6.22705 + 2.12850i 0.220851 + 0.0754900i
\(796\) 16.0867 + 11.5551i 0.570178 + 0.409559i
\(797\) −2.17089 + 2.17089i −0.0768969 + 0.0768969i −0.744509 0.667612i \(-0.767316\pi\)
0.667612 + 0.744509i \(0.267316\pi\)
\(798\) 5.98937 4.12391i 0.212022 0.145985i
\(799\) −55.9113 −1.97800
\(800\) −11.0667 26.0294i −0.391266 0.920277i
\(801\) −17.0947 + 29.6089i −0.604012 + 1.04618i
\(802\) 0.906725 + 0.291901i 0.0320176 + 0.0103074i
\(803\) −2.99334 0.802062i −0.105633 0.0283042i
\(804\) 1.36966 0.618722i 0.0483043 0.0218206i
\(805\) 13.6296 + 6.78875i 0.480379 + 0.239272i
\(806\) −10.2258 6.60139i −0.360187 0.232524i
\(807\) 1.63942 + 0.439280i 0.0577102 + 0.0154634i
\(808\) −0.481441 4.24836i −0.0169370 0.149457i
\(809\) 18.0260 + 10.4073i 0.633762 + 0.365902i 0.782207 0.623018i \(-0.214094\pi\)
−0.148446 + 0.988921i \(0.547427\pi\)
\(810\) −19.7447 14.7258i −0.693758 0.517413i
\(811\) −55.0469 −1.93296 −0.966480 0.256743i \(-0.917351\pi\)
−0.966480 + 0.256743i \(0.917351\pi\)
\(812\) −14.3411 23.2166i −0.503274 0.814742i
\(813\) −5.55882 5.55882i −0.194956 0.194956i
\(814\) 0.109434 2.20220i 0.00383567 0.0771872i
\(815\) −48.6370 + 23.8573i −1.70368 + 0.835686i
\(816\) −2.78194 8.25659i −0.0973875 0.289038i
\(817\) 13.6364 50.8918i 0.477078 1.78048i
\(818\) −27.1338 + 5.84430i −0.948712 + 0.204341i
\(819\) 42.3677 17.4573i 1.48045 0.610008i
\(820\) 15.8794 + 22.3122i 0.554532 + 0.779176i
\(821\) −29.5682 + 17.0712i −1.03194 + 0.595790i −0.917539 0.397645i \(-0.869827\pi\)
−0.114399 + 0.993435i \(0.536494\pi\)
\(822\) −0.592056 0.190600i −0.0206503 0.00664794i
\(823\) −30.6186 + 8.20422i −1.06730 + 0.285981i −0.749382 0.662138i \(-0.769649\pi\)
−0.317914 + 0.948119i \(0.602982\pi\)
\(824\) 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 \(0.639131\pi\)
\(828\) 14.5453 2.38456i 0.505483 0.0828691i
\(829\) −18.0996 + 31.3494i −0.628625 + 1.08881i 0.359203 + 0.933260i \(0.383049\pi\)
−0.987828 + 0.155551i \(0.950285\pi\)
\(830\) 25.5374 + 32.3545i 0.886415 + 1.12304i
\(831\) 5.12473 2.95876i 0.177775 0.102638i
\(832\) 42.7526 22.6658i 1.48218 0.785794i
\(833\) −0.152977 + 41.2510i −0.00530036 + 1.42926i
\(834\) −2.05138 + 3.17765i −0.0710335 + 0.110033i
\(835\) 0.0692202 1.02294i 0.00239546 0.0354004i
\(836\) −9.76703 0.973111i −0.337800 0.0336557i
\(837\) 0.798114 + 2.97860i 0.0275869 + 0.102956i
\(838\) −17.1603 18.9550i −0.592793 0.654789i
\(839\) −36.3979 −1.25660 −0.628298 0.777973i \(-0.716248\pi\)
−0.628298 + 0.777973i \(0.716248\pi\)
\(840\) −3.97456 4.73872i −0.137135 0.163501i
\(841\) −2.40441 −0.0829108
\(842\) −15.6677 17.3063i −0.539944 0.596413i
\(843\) 1.72297 + 6.43022i 0.0593424 + 0.221469i
\(844\) 3.65416 36.6765i 0.125781 1.26246i
\(845\) −34.6902 39.7258i −1.19338 1.36661i
\(846\) −20.8376 + 32.2781i −0.716411 + 1.10974i
\(847\) −24.7394 10.3012i −0.850056 0.353953i
\(848\) −31.7858 + 2.01124i −1.09153 + 0.0690661i
\(849\) −1.19953 + 0.692550i −0.0411678 + 0.0237682i
\(850\) −31.6449 27.1107i −1.08541 0.929891i
\(851\) −2.14966 + 3.72332i −0.0736893 + 0.127634i
\(852\) −1.49989 9.14902i −0.0513855 0.313440i
\(853\) 26.4581 + 26.4581i 0.905908 + 0.905908i 0.995939 0.0900314i \(-0.0286967\pi\)
−0.0900314 + 0.995939i \(0.528697\pi\)
\(854\) −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
\(857\) −5.08927 + 1.36367i −0.173846 + 0.0465820i −0.344692 0.938716i \(-0.612017\pi\)
0.170846 + 0.985298i \(0.445350\pi\)
\(858\) 2.80907 + 0.904320i 0.0959000 + 0.0308730i
\(859\) 44.5451 25.7181i 1.51986 0.877492i 0.520134 0.854085i \(-0.325882\pi\)
0.999726 0.0234068i \(-0.00745130\pi\)
\(860\) −44.1893 7.44305i −1.50684 0.253806i
\(861\) 4.74417 + 3.65433i 0.161681 + 0.124539i
\(862\) 22.9810 4.94984i 0.782737 0.168592i
\(863\) 5.82157 21.7264i 0.198169 0.739575i −0.793255 0.608889i \(-0.791615\pi\)
0.991424 0.130686i \(-0.0417180\pi\)
\(864\) −11.8837 3.01240i −0.404291 0.102484i
\(865\) −11.4864 23.4168i −0.390548 0.796194i
\(866\) −1.80892 + 36.4019i −0.0614696 + 1.23699i
\(867\) −4.63333 4.63333i −0.157356 0.157356i
\(868\) −0.223892 7.52586i −0.00759940 0.255444i
\(869\) 3.77912 0.128198
\(870\) 5.96487 0.868475i 0.202228 0.0294441i
\(871\) 10.6499 + 6.14873i 0.360859 + 0.208342i
\(872\) −12.0943 + 1.37057i −0.409563 + 0.0464133i
\(873\) −17.2598 4.62476i −0.584157 0.156524i
\(874\) 16.0793 + 10.3802i 0.543890 + 0.351116i
\(875\) −27.9317 9.73765i −0.944263 0.329193i
\(876\) −1.01042 2.23676i −0.0341388 0.0755730i
\(877\) 25.1919 + 6.75014i 0.850668 + 0.227936i 0.657710 0.753271i \(-0.271525\pi\)
0.192958 + 0.981207i \(0.438192\pi\)
\(878\) −0.600750 0.193399i −0.0202743 0.00652689i
\(879\) −1.57680 + 2.73111i −0.0531843 + 0.0921179i
\(880\) −0.0365186 + 8.34817i −0.00123104 + 0.281417i
\(881\) 42.2555 1.42362 0.711812 0.702370i \(-0.247875\pi\)
0.711812 + 0.702370i \(0.247875\pi\)
\(882\) 23.7575 + 15.4622i 0.799958 + 0.520638i
\(883\) −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
\(885\) −0.367257 0.748711i −0.0123452 0.0251676i
\(886\) 48.6413 24.9501i 1.63414 0.838215i
\(887\) 5.08138 + 1.36155i 0.170616 + 0.0457164i 0.343116 0.939293i \(-0.388518\pi\)
−0.172500 + 0.985010i \(0.555184\pi\)
\(888\) 1.40442 1.03790i 0.0471292 0.0348298i
\(889\) −2.48194 + 18.5858i −0.0832415 + 0.623348i
\(890\) 14.9254 + 34.6832i 0.500301 + 1.16258i
\(891\) 3.63503 + 6.29606i 0.121778 + 0.210926i
\(892\) −33.9700 + 27.8143i −1.13740 + 0.931292i
\(893\) −48.1871 + 12.9117i −1.61252 + 0.432074i
\(894\) −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
\(898\) 30.0876 + 33.2343i 1.00404 + 1.10904i
\(899\) 6.35484 + 3.66897i 0.211946 + 0.122367i
\(900\) −27.4450 + 8.16499i −0.914834 + 0.272166i
\(901\) −40.6360 + 23.4612i −1.35378 + 0.781606i
\(902\) −1.70197 7.90188i −0.0566695 0.263104i
\(903\) −9.71742 + 1.26100i −0.323376 + 0.0419633i
\(904\) −12.9294 1.94030i −0.430026 0.0645333i
\(905\) −6.36806 7.29244i −0.211681 0.242409i
\(906\) −4.29547 8.37420i −0.142707 0.278214i
\(907\) −40.0638 + 10.7351i −1.33030 + 0.356452i −0.852825 0.522196i \(-0.825113\pi\)
−0.477470 + 0.878648i \(0.658446\pi\)
\(908\) −6.82501 41.6310i −0.226496 1.38157i
\(909\) −4.32839 −0.143564
\(910\) 12.5189 49.0338i 0.414996 1.62545i
\(911\) 56.2856i 1.86483i −0.361394 0.932413i \(-0.617699\pi\)
0.361394 0.932413i \(-0.382301\pi\)
\(912\) −4.30433 6.47350i −0.142531 0.214359i
\(913\) −3.14876 11.7513i −0.104209 0.388912i
\(914\) −18.1483 35.3808i −0.600291 1.17029i
\(915\) 2.71106 + 0.183451i 0.0896248 + 0.00606471i
\(916\) 20.5155 9.26752i 0.677851 0.306208i
\(917\) 13.4306 + 5.59234i 0.443518 + 0.184675i
\(918\) −17.6566 + 3.80302i −0.582754 + 0.125518i
\(919\) −10.6286 18.4093i −0.350606 0.607267i 0.635750 0.771895i \(-0.280691\pi\)
−0.986356 + 0.164628i \(0.947358\pi\)
\(920\) 7.49260 14.4511i 0.247024 0.476439i
\(921\) −3.89345 + 6.74365i −0.128294 + 0.222211i
\(922\) 2.88429 + 3.18594i 0.0949891 + 0.104923i
\(923\) 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
\(927\) −3.41530 12.7461i −0.112173 0.418635i
\(928\) −25.0647 + 14.9271i −0.822789 + 0.490007i
\(929\) −44.9633 + 25.9596i −1.47520 + 0.851706i −0.999609 0.0279615i \(-0.991098\pi\)
−0.475589 + 0.879668i \(0.657765\pi\)
\(930\) 1.54508 + 0.615362i 0.0506650 + 0.0201785i
\(931\) 9.39433 + 35.5875i 0.307887 + 1.16633i
\(932\) −11.1165 + 29.4349i −0.364133 + 0.964172i
\(933\) 0.345661 1.29002i 0.0113164 0.0422335i
\(934\) 7.11819 + 13.8772i 0.232914 + 0.454076i
\(935\) 5.41643 + 11.0422i 0.177136 + 0.361120i
\(936\) −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 \(0.892061\pi\)
\(938\) 0.603320 + 7.58317i 0.0196991 + 0.247599i
\(939\) 0.642846i 0.0209785i
\(940\) 14.8171 + 39.7590i 0.483281 + 1.29679i
\(941\) 47.6790 + 27.5275i 1.55429 + 0.897370i 0.997785 + 0.0665261i \(0.0211916\pi\)
0.556506 + 0.830844i \(0.312142\pi\)
\(942\) 2.75220 8.54910i 0.0896716 0.278545i
\(943\) −4.07925 + 15.2240i −0.132839 + 0.495761i
\(944\) 3.02843 + 2.66799i 0.0985671 + 0.0868358i
\(945\) −10.6888 + 7.08079i −0.347705 + 0.230338i
\(946\) 11.1121 + 7.17356i 0.361284 + 0.233232i
\(947\) 0.931210 3.47532i 0.0302603 0.112933i −0.949144 0.314843i \(-0.898048\pi\)
0.979404 + 0.201910i \(0.0647149\pi\)
\(948\) 1.89619 + 2.31585i 0.0615855 + 0.0752152i
\(949\) 10.0413 17.3921i 0.325955 0.564570i
\(950\) −33.5339 16.0576i −1.08798 0.520976i
\(951\) 0.527676i 0.0171111i
\(952\) 44.0907 + 0.878018i 1.42899 + 0.0284567i
\(953\) −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
\(955\) 15.8265 46.3015i 0.512134 1.49828i
\(956\) −2.73073 + 27.4081i −0.0883181 + 0.886442i
\(957\) −1.71850 0.460472i −0.0555513 0.0148849i
\(958\) 2.86622 + 13.3072i 0.0926035 + 0.429938i
\(959\) 1.92112 2.49406i 0.0620360 0.0805373i
\(960\) −5.13408 + 4.16635i −0.165702 + 0.134468i
\(961\) −14.4877 25.0934i −0.467345 0.809466i
\(962\) 13.6015 + 4.37873i 0.438531 + 0.141176i
\(963\) −9.32575 34.8042i −0.300518 1.12155i
\(964\) 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 −0.773866 0.633350i \(-0.781679\pi\)
0.633350 + 0.773866i \(0.281679\pi\)
\(968\) −11.4395 + 26.2657i −0.367679 + 0.844210i
\(969\) −9.91856 5.72648i −0.318630 0.183961i
\(970\) −15.4901 + 12.2263i −0.497358 + 0.392564i
\(971\) 9.24578 + 16.0142i 0.296711 + 0.513919i 0.975382 0.220524i \(-0.0707768\pi\)
−0.678670 + 0.734443i \(0.737443\pi\)
\(972\) −6.62847 + 17.5512i −0.212608 + 0.562956i
\(973\) −11.6260 15.2097i −0.372714 0.487600i
\(974\) 39.1567 + 25.2782i 1.25466 + 0.809965i
\(975\) 8.83957 + 6.84244i 0.283093 + 0.219133i
\(976\) −12.4625 + 4.19906i −0.398914 + 0.134409i
\(977\) −5.86472 + 1.57145i −0.187629 + 0.0502750i −0.351410 0.936222i \(-0.614298\pi\)
0.163781 + 0.986497i \(0.447631\pi\)
\(978\) 8.49921 + 9.38809i 0.271775 + 0.300198i
\(979\) 11.1446i 0.356182i
\(980\) 29.3745 10.8232i 0.938333 0.345734i
\(981\) 12.3221i 0.393414i
\(982\) 30.4905 27.6037i 0.972992 0.880868i
\(983\) 28.6738 7.68312i 0.914552 0.245054i 0.229297 0.973357i \(-0.426357\pi\)
0.685255 + 0.728303i \(0.259691\pi\)
\(984\) 3.98830 5.00777i 0.127142 0.159642i
\(985\) −0.183091 + 2.70573i −0.00583377 + 0.0862119i
\(986\) −23.3105 + 36.1087i −0.742358 + 1.14994i
\(987\) 5.63451 + 7.37130i 0.179349 + 0.234631i
\(988\) 22.4734 59.5063i 0.714973 1.89315i
\(989\) −12.8949 22.3346i −0.410034 0.710200i
\(990\) 8.39343 + 0.988384i 0.266761 + 0.0314129i
\(991\) 44.4018 + 25.6354i 1.41047 + 0.814336i 0.995432 0.0954681i \(-0.0304348\pi\)
0.415038 + 0.909804i \(0.363768\pi\)
\(992\) −8.04830 + 0.108966i −0.255534 + 0.00345967i
\(993\) 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
\(997\) 1.08071 + 4.03325i 0.0342263 + 0.127734i 0.980925 0.194385i \(-0.0622713\pi\)
−0.946699 + 0.322120i \(0.895605\pi\)
\(998\) −1.01761 + 3.16098i −0.0322119 + 0.100059i
\(999\) −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.67.11 176
5.3 odd 4 inner 280.2.br.a.123.34 yes 176
7.2 even 3 inner 280.2.br.a.107.40 yes 176
8.3 odd 2 inner 280.2.br.a.67.26 yes 176
35.23 odd 12 inner 280.2.br.a.163.26 yes 176
40.3 even 4 inner 280.2.br.a.123.40 yes 176
56.51 odd 6 inner 280.2.br.a.107.34 yes 176
280.163 even 12 inner 280.2.br.a.163.11 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.11 176 1.1 even 1 trivial
280.2.br.a.67.26 yes 176 8.3 odd 2 inner
280.2.br.a.107.34 yes 176 56.51 odd 6 inner
280.2.br.a.107.40 yes 176 7.2 even 3 inner
280.2.br.a.123.34 yes 176 5.3 odd 4 inner
280.2.br.a.123.40 yes 176 40.3 even 4 inner
280.2.br.a.163.11 yes 176 280.163 even 12 inner
280.2.br.a.163.26 yes 176 35.23 odd 12 inner