Properties

Label 225.2.q.a.121.14
Level $225$
Weight $2$
Character 225.121
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [225,2,Mod(16,225)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(225, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("225.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 121.14
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.160864 - 0.0341926i) q^{2} +(1.48677 - 0.888545i) q^{3} +(-1.80238 + 0.802473i) q^{4} +(0.278910 + 2.21861i) q^{5} +(0.208786 - 0.193771i) q^{6} +(2.06663 + 3.57951i) q^{7} +(-0.528597 + 0.384048i) q^{8} +(1.42098 - 2.64213i) q^{9} +O(q^{10})\) \(q+(0.160864 - 0.0341926i) q^{2} +(1.48677 - 0.888545i) q^{3} +(-1.80238 + 0.802473i) q^{4} +(0.278910 + 2.21861i) q^{5} +(0.208786 - 0.193771i) q^{6} +(2.06663 + 3.57951i) q^{7} +(-0.528597 + 0.384048i) q^{8} +(1.42098 - 2.64213i) q^{9} +(0.120726 + 0.347356i) q^{10} +(0.350384 - 0.0744764i) q^{11} +(-1.96670 + 2.79459i) q^{12} +(-1.80589 - 0.383854i) q^{13} +(0.454839 + 0.505150i) q^{14} +(2.38601 + 3.05073i) q^{15} +(2.56843 - 2.85253i) q^{16} +(3.22940 - 2.34629i) q^{17} +(0.138242 - 0.473609i) q^{18} +(-0.0599095 + 0.0435268i) q^{19} +(-2.28307 - 3.77496i) q^{20} +(6.25317 + 3.48562i) q^{21} +(0.0538175 - 0.0239611i) q^{22} +(-2.92946 - 3.25349i) q^{23} +(-0.444658 + 1.04067i) q^{24} +(-4.84442 + 1.23758i) q^{25} -0.303627 q^{26} +(-0.234983 - 5.19084i) q^{27} +(-6.59733 - 4.79324i) q^{28} +(0.679330 - 6.46339i) q^{29} +(0.488134 + 0.409168i) q^{30} +(0.566578 + 5.39063i) q^{31} +(0.969013 - 1.67838i) q^{32} +(0.454765 - 0.422061i) q^{33} +(0.439267 - 0.487855i) q^{34} +(-7.36512 + 5.58341i) q^{35} +(-0.440908 + 5.90242i) q^{36} +(2.37480 + 7.30889i) q^{37} +(-0.00814896 + 0.00905033i) q^{38} +(-3.02602 + 1.03391i) q^{39} +(-0.999482 - 1.06563i) q^{40} +(-4.60199 - 0.978183i) q^{41} +(1.12509 + 0.346897i) q^{42} +(1.55061 + 2.68574i) q^{43} +(-0.571760 + 0.415408i) q^{44} +(6.25816 + 2.41567i) q^{45} +(-0.582489 - 0.423203i) q^{46} +(1.35210 - 12.8643i) q^{47} +(1.28406 - 6.52322i) q^{48} +(-5.04195 + 8.73292i) q^{49} +(-0.736974 + 0.364726i) q^{50} +(2.71659 - 6.35787i) q^{51} +(3.56294 - 0.757326i) q^{52} +(1.53179 + 1.11291i) q^{53} +(-0.215288 - 0.826982i) q^{54} +(0.262959 + 0.756591i) q^{55} +(-2.46712 - 1.09843i) q^{56} +(-0.0503961 + 0.117947i) q^{57} +(-0.111721 - 1.06295i) q^{58} +(-4.84033 - 1.02884i) q^{59} +(-6.74863 - 3.58388i) q^{60} +(-8.90148 + 1.89207i) q^{61} +(0.275461 + 0.847783i) q^{62} +(12.3942 - 0.373904i) q^{63} +(-2.27380 + 6.99805i) q^{64} +(0.347939 - 4.11362i) q^{65} +(0.0587237 - 0.0834439i) q^{66} +(-1.50633 - 14.3317i) q^{67} +(-3.93777 + 6.82042i) q^{68} +(-7.24631 - 2.23424i) q^{69} +(-0.993869 + 1.15000i) q^{70} +(10.8652 + 7.89400i) q^{71} +(0.263580 + 1.94234i) q^{72} +(4.15877 - 12.7994i) q^{73} +(0.631930 + 1.09453i) q^{74} +(-6.10289 + 6.14449i) q^{75} +(0.0730507 - 0.126528i) q^{76} +(0.990704 + 1.10029i) q^{77} +(-0.451424 + 0.269786i) q^{78} +(0.626261 - 5.95848i) q^{79} +(7.04499 + 4.90273i) q^{80} +(-4.96166 - 7.50879i) q^{81} -0.773739 q^{82} +(-2.63648 - 1.17384i) q^{83} +(-14.0677 - 1.26443i) q^{84} +(6.10621 + 6.51035i) q^{85} +(0.341269 + 0.379018i) q^{86} +(-4.73301 - 10.2132i) q^{87} +(-0.156609 + 0.173932i) q^{88} +(2.21408 - 6.81425i) q^{89} +(1.08931 + 0.174610i) q^{90} +(-2.35810 - 7.25750i) q^{91} +(7.89085 + 3.51323i) q^{92} +(5.63219 + 7.51120i) q^{93} +(-0.222362 - 2.11564i) q^{94} +(-0.113278 - 0.120775i) q^{95} +(-0.0506157 - 3.35638i) q^{96} +(-1.10503 + 10.5137i) q^{97} +(-0.512465 + 1.57721i) q^{98} +(0.301111 - 1.03159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.160864 0.0341926i 0.113748 0.0241778i −0.150686 0.988582i \(-0.548148\pi\)
0.264434 + 0.964404i \(0.414815\pi\)
\(3\) 1.48677 0.888545i 0.858388 0.513002i
\(4\) −1.80238 + 0.802473i −0.901191 + 0.401236i
\(5\) 0.278910 + 2.21861i 0.124733 + 0.992190i
\(6\) 0.208786 0.193771i 0.0852364 0.0791067i
\(7\) 2.06663 + 3.57951i 0.781114 + 1.35293i 0.931293 + 0.364271i \(0.118682\pi\)
−0.150179 + 0.988659i \(0.547985\pi\)
\(8\) −0.528597 + 0.384048i −0.186887 + 0.135782i
\(9\) 1.42098 2.64213i 0.473658 0.880709i
\(10\) 0.120726 + 0.347356i 0.0381771 + 0.109844i
\(11\) 0.350384 0.0744764i 0.105645 0.0224555i −0.154786 0.987948i \(-0.549469\pi\)
0.260431 + 0.965493i \(0.416135\pi\)
\(12\) −1.96670 + 2.79459i −0.567737 + 0.806729i
\(13\) −1.80589 0.383854i −0.500864 0.106462i −0.0494500 0.998777i \(-0.515747\pi\)
−0.451414 + 0.892315i \(0.649080\pi\)
\(14\) 0.454839 + 0.505150i 0.121561 + 0.135007i
\(15\) 2.38601 + 3.05073i 0.616064 + 0.787696i
\(16\) 2.56843 2.85253i 0.642107 0.713132i
\(17\) 3.22940 2.34629i 0.783244 0.569060i −0.122707 0.992443i \(-0.539157\pi\)
0.905951 + 0.423383i \(0.139157\pi\)
\(18\) 0.138242 0.473609i 0.0325840 0.111631i
\(19\) −0.0599095 + 0.0435268i −0.0137442 + 0.00998573i −0.594636 0.803995i \(-0.702704\pi\)
0.580892 + 0.813981i \(0.302704\pi\)
\(20\) −2.28307 3.77496i −0.510511 0.844106i
\(21\) 6.25317 + 3.48562i 1.36455 + 0.760625i
\(22\) 0.0538175 0.0239611i 0.0114739 0.00510852i
\(23\) −2.92946 3.25349i −0.610834 0.678400i 0.355799 0.934562i \(-0.384209\pi\)
−0.966634 + 0.256162i \(0.917542\pi\)
\(24\) −0.444658 + 1.04067i −0.0907655 + 0.212427i
\(25\) −4.84442 + 1.23758i −0.968884 + 0.247517i
\(26\) −0.303627 −0.0595462
\(27\) −0.234983 5.19084i −0.0452225 0.998977i
\(28\) −6.59733 4.79324i −1.24678 0.905837i
\(29\) 0.679330 6.46339i 0.126148 1.20022i −0.729984 0.683465i \(-0.760472\pi\)
0.856132 0.516757i \(-0.172861\pi\)
\(30\) 0.488134 + 0.409168i 0.0891207 + 0.0747035i
\(31\) 0.566578 + 5.39063i 0.101760 + 0.968186i 0.919631 + 0.392783i \(0.128488\pi\)
−0.817871 + 0.575402i \(0.804846\pi\)
\(32\) 0.969013 1.67838i 0.171299 0.296698i
\(33\) 0.454765 0.422061i 0.0791644 0.0734714i
\(34\) 0.439267 0.487855i 0.0753336 0.0836664i
\(35\) −7.36512 + 5.58341i −1.24493 + 0.943768i
\(36\) −0.440908 + 5.90242i −0.0734847 + 0.983736i
\(37\) 2.37480 + 7.30889i 0.390415 + 1.20157i 0.932475 + 0.361235i \(0.117645\pi\)
−0.542060 + 0.840340i \(0.682355\pi\)
\(38\) −0.00814896 + 0.00905033i −0.00132194 + 0.00146816i
\(39\) −3.02602 + 1.03391i −0.484550 + 0.165558i
\(40\) −0.999482 1.06563i −0.158032 0.168491i
\(41\) −4.60199 0.978183i −0.718710 0.152767i −0.165983 0.986129i \(-0.553080\pi\)
−0.552727 + 0.833362i \(0.686413\pi\)
\(42\) 1.12509 + 0.346897i 0.173605 + 0.0535274i
\(43\) 1.55061 + 2.68574i 0.236466 + 0.409571i 0.959698 0.281034i \(-0.0906775\pi\)
−0.723232 + 0.690605i \(0.757344\pi\)
\(44\) −0.571760 + 0.415408i −0.0861961 + 0.0626252i
\(45\) 6.25816 + 2.41567i 0.932911 + 0.360106i
\(46\) −0.582489 0.423203i −0.0858833 0.0623979i
\(47\) 1.35210 12.8643i 0.197224 1.87646i −0.231239 0.972897i \(-0.574278\pi\)
0.428463 0.903560i \(-0.359055\pi\)
\(48\) 1.28406 6.52322i 0.185339 0.941545i
\(49\) −5.04195 + 8.73292i −0.720279 + 1.24756i
\(50\) −0.736974 + 0.364726i −0.104224 + 0.0515800i
\(51\) 2.71659 6.35787i 0.380398 0.890280i
\(52\) 3.56294 0.757326i 0.494091 0.105022i
\(53\) 1.53179 + 1.11291i 0.210408 + 0.152870i 0.687998 0.725712i \(-0.258490\pi\)
−0.477590 + 0.878583i \(0.658490\pi\)
\(54\) −0.215288 0.826982i −0.0292971 0.112538i
\(55\) 0.262959 + 0.756591i 0.0354574 + 0.102019i
\(56\) −2.46712 1.09843i −0.329683 0.146784i
\(57\) −0.0503961 + 0.117947i −0.00667513 + 0.0156224i
\(58\) −0.111721 1.06295i −0.0146697 0.139573i
\(59\) −4.84033 1.02884i −0.630157 0.133944i −0.118249 0.992984i \(-0.537728\pi\)
−0.511909 + 0.859040i \(0.671061\pi\)
\(60\) −6.74863 3.58388i −0.871244 0.462678i
\(61\) −8.90148 + 1.89207i −1.13972 + 0.242255i −0.738843 0.673878i \(-0.764627\pi\)
−0.400876 + 0.916133i \(0.631294\pi\)
\(62\) 0.275461 + 0.847783i 0.0349836 + 0.107669i
\(63\) 12.3942 0.373904i 1.56152 0.0471075i
\(64\) −2.27380 + 6.99805i −0.284226 + 0.874756i
\(65\) 0.347939 4.11362i 0.0431565 0.510232i
\(66\) 0.0587237 0.0834439i 0.00722839 0.0102712i
\(67\) −1.50633 14.3317i −0.184027 1.75090i −0.563884 0.825854i \(-0.690693\pi\)
0.379857 0.925045i \(-0.375973\pi\)
\(68\) −3.93777 + 6.82042i −0.477525 + 0.827098i
\(69\) −7.24631 2.23424i −0.872353 0.268971i
\(70\) −0.993869 + 1.15000i −0.118790 + 0.137451i
\(71\) 10.8652 + 7.89400i 1.28946 + 0.936845i 0.999794 0.0202841i \(-0.00645707\pi\)
0.289662 + 0.957129i \(0.406457\pi\)
\(72\) 0.263580 + 1.94234i 0.0310632 + 0.228907i
\(73\) 4.15877 12.7994i 0.486747 1.49805i −0.342688 0.939449i \(-0.611337\pi\)
0.829435 0.558603i \(-0.188663\pi\)
\(74\) 0.631930 + 1.09453i 0.0734603 + 0.127237i
\(75\) −6.10289 + 6.14449i −0.704701 + 0.709504i
\(76\) 0.0730507 0.126528i 0.00837950 0.0145137i
\(77\) 0.990704 + 1.10029i 0.112901 + 0.125390i
\(78\) −0.451424 + 0.269786i −0.0511137 + 0.0305473i
\(79\) 0.626261 5.95848i 0.0704599 0.670381i −0.901104 0.433603i \(-0.857242\pi\)
0.971564 0.236778i \(-0.0760913\pi\)
\(80\) 7.04499 + 4.90273i 0.787654 + 0.548141i
\(81\) −4.96166 7.50879i −0.551295 0.834310i
\(82\) −0.773739 −0.0854452
\(83\) −2.63648 1.17384i −0.289391 0.128845i 0.256907 0.966436i \(-0.417297\pi\)
−0.546298 + 0.837591i \(0.683963\pi\)
\(84\) −14.0677 1.26443i −1.53491 0.137960i
\(85\) 6.10621 + 6.51035i 0.662312 + 0.706147i
\(86\) 0.341269 + 0.379018i 0.0368000 + 0.0408705i
\(87\) −4.73301 10.2132i −0.507432 1.09497i
\(88\) −0.156609 + 0.173932i −0.0166946 + 0.0185412i
\(89\) 2.21408 6.81425i 0.234692 0.722309i −0.762470 0.647024i \(-0.776013\pi\)
0.997162 0.0752851i \(-0.0239867\pi\)
\(90\) 1.08931 + 0.174610i 0.114823 + 0.0184055i
\(91\) −2.35810 7.25750i −0.247196 0.760792i
\(92\) 7.89085 + 3.51323i 0.822678 + 0.366280i
\(93\) 5.63219 + 7.51120i 0.584031 + 0.778875i
\(94\) −0.222362 2.11564i −0.0229349 0.218211i
\(95\) −0.113278 0.120775i −0.0116221 0.0123913i
\(96\) −0.0506157 3.35638i −0.00516594 0.342559i
\(97\) −1.10503 + 10.5137i −0.112199 + 1.06750i 0.783057 + 0.621950i \(0.213659\pi\)
−0.895256 + 0.445552i \(0.853008\pi\)
\(98\) −0.512465 + 1.57721i −0.0517668 + 0.159322i
\(99\) 0.301111 1.03159i 0.0302628 0.103678i
\(100\) 7.73837 6.11811i 0.773837 0.611811i
\(101\) 8.75862 + 15.1704i 0.871516 + 1.50951i 0.860429 + 0.509571i \(0.170196\pi\)
0.0110870 + 0.999939i \(0.496471\pi\)
\(102\) 0.219608 1.11564i 0.0217444 0.110465i
\(103\) 10.9302 4.86646i 1.07699 0.479506i 0.209932 0.977716i \(-0.432676\pi\)
0.867057 + 0.498210i \(0.166009\pi\)
\(104\) 1.10201 0.490645i 0.108061 0.0481117i
\(105\) −5.98914 + 14.8455i −0.584481 + 1.44877i
\(106\) 0.284463 + 0.126651i 0.0276295 + 0.0123014i
\(107\) −8.49063 −0.820820 −0.410410 0.911901i \(-0.634614\pi\)
−0.410410 + 0.911901i \(0.634614\pi\)
\(108\) 4.58903 + 9.16731i 0.441580 + 0.882125i
\(109\) 2.49526 + 7.67961i 0.239002 + 0.735573i 0.996565 + 0.0828110i \(0.0263898\pi\)
−0.757563 + 0.652762i \(0.773610\pi\)
\(110\) 0.0681704 + 0.112717i 0.00649979 + 0.0107471i
\(111\) 10.0251 + 8.75653i 0.951538 + 0.831133i
\(112\) 15.5187 + 3.29859i 1.46638 + 0.311688i
\(113\) −8.69849 1.84892i −0.818285 0.173932i −0.220293 0.975434i \(-0.570701\pi\)
−0.597992 + 0.801502i \(0.704035\pi\)
\(114\) −0.00407400 + 0.0206965i −0.000381565 + 0.00193840i
\(115\) 6.40116 7.40675i 0.596911 0.690683i
\(116\) 3.96228 + 12.1946i 0.367889 + 1.13224i
\(117\) −3.58032 + 4.22594i −0.331000 + 0.390689i
\(118\) −0.813812 −0.0749175
\(119\) 15.0726 + 6.71074i 1.38170 + 0.615173i
\(120\) −2.43286 0.696267i −0.222089 0.0635602i
\(121\) −9.93178 + 4.42191i −0.902889 + 0.401992i
\(122\) −1.36723 + 0.608730i −0.123783 + 0.0551118i
\(123\) −7.71126 + 2.63474i −0.695301 + 0.237567i
\(124\) −5.34702 9.26131i −0.480177 0.831691i
\(125\) −4.09687 10.4027i −0.366435 0.930444i
\(126\) 1.98099 0.483936i 0.176480 0.0431125i
\(127\) −1.00273 + 3.08608i −0.0889778 + 0.273845i −0.985637 0.168875i \(-0.945987\pi\)
0.896660 + 0.442720i \(0.145987\pi\)
\(128\) −0.531648 + 5.05830i −0.0469915 + 0.447094i
\(129\) 4.69180 + 2.61529i 0.413090 + 0.230263i
\(130\) −0.0846847 0.673628i −0.00742734 0.0590811i
\(131\) 0.899383 + 8.55705i 0.0785794 + 0.747633i 0.960883 + 0.276953i \(0.0893247\pi\)
−0.882304 + 0.470680i \(0.844009\pi\)
\(132\) −0.480968 + 1.12565i −0.0418629 + 0.0979754i
\(133\) −0.279616 0.124493i −0.0242458 0.0107949i
\(134\) −0.732352 2.25395i −0.0632656 0.194711i
\(135\) 11.4509 1.96911i 0.985535 0.169474i
\(136\) −0.805959 + 2.48049i −0.0691105 + 0.212700i
\(137\) −3.83481 + 4.25899i −0.327630 + 0.363870i −0.884345 0.466833i \(-0.845395\pi\)
0.556715 + 0.830703i \(0.312061\pi\)
\(138\) −1.24206 0.111638i −0.105731 0.00950328i
\(139\) 11.0972 + 12.3247i 0.941256 + 1.04537i 0.998893 + 0.0470333i \(0.0149767\pi\)
−0.0576371 + 0.998338i \(0.518357\pi\)
\(140\) 8.79424 15.9738i 0.743249 1.35003i
\(141\) −9.42029 20.3277i −0.793331 1.71190i
\(142\) 2.01772 + 0.898349i 0.169324 + 0.0753877i
\(143\) −0.661343 −0.0553043
\(144\) −3.88706 10.8395i −0.323922 0.903290i
\(145\) 14.5292 0.295542i 1.20658 0.0245434i
\(146\) 0.231350 2.20115i 0.0191467 0.182169i
\(147\) 0.263363 + 17.4638i 0.0217218 + 1.44039i
\(148\) −10.1455 11.2677i −0.833954 0.926200i
\(149\) −3.50472 + 6.07035i −0.287118 + 0.497302i −0.973120 0.230297i \(-0.926030\pi\)
0.686003 + 0.727599i \(0.259364\pi\)
\(150\) −0.771637 + 1.19710i −0.0630039 + 0.0977427i
\(151\) 2.35416 + 4.07752i 0.191579 + 0.331824i 0.945774 0.324827i \(-0.105306\pi\)
−0.754195 + 0.656651i \(0.771973\pi\)
\(152\) 0.0149516 0.0460162i 0.00121273 0.00373241i
\(153\) −1.61031 11.8665i −0.130186 0.959350i
\(154\) 0.196990 + 0.143122i 0.0158739 + 0.0115331i
\(155\) −11.8017 + 2.76051i −0.947932 + 0.221730i
\(156\) 4.62435 4.29180i 0.370245 0.343619i
\(157\) 8.51816 14.7539i 0.679823 1.17749i −0.295210 0.955432i \(-0.595390\pi\)
0.975034 0.222057i \(-0.0712770\pi\)
\(158\) −0.102993 0.979915i −0.00819370 0.0779579i
\(159\) 3.26630 + 0.293579i 0.259034 + 0.0232823i
\(160\) 3.99393 + 1.68174i 0.315748 + 0.132953i
\(161\) 5.59181 17.2098i 0.440696 1.35632i
\(162\) −1.05490 1.03824i −0.0828804 0.0815718i
\(163\) 0.313473 + 0.964770i 0.0245531 + 0.0755666i 0.962582 0.270990i \(-0.0873509\pi\)
−0.938029 + 0.346556i \(0.887351\pi\)
\(164\) 9.07951 1.92991i 0.708991 0.150701i
\(165\) 1.06323 + 0.891226i 0.0827720 + 0.0693819i
\(166\) −0.464250 0.0986794i −0.0360328 0.00765901i
\(167\) −0.400647 3.81190i −0.0310030 0.294974i −0.999026 0.0441142i \(-0.985953\pi\)
0.968024 0.250860i \(-0.0807132\pi\)
\(168\) −4.64405 + 0.559030i −0.358296 + 0.0431301i
\(169\) −8.76220 3.90118i −0.674015 0.300091i
\(170\) 1.20487 + 0.838491i 0.0924096 + 0.0643094i
\(171\) 0.0298733 + 0.220139i 0.00228447 + 0.0168344i
\(172\) −4.95002 3.59640i −0.377436 0.274223i
\(173\) −21.6977 + 4.61198i −1.64964 + 0.350642i −0.936579 0.350456i \(-0.886026\pi\)
−0.713064 + 0.701099i \(0.752693\pi\)
\(174\) −1.11058 1.48110i −0.0841932 0.112282i
\(175\) −14.4416 14.7830i −1.09168 1.11749i
\(176\) 0.687489 1.19077i 0.0518215 0.0897574i
\(177\) −8.11064 + 2.77120i −0.609633 + 0.208296i
\(178\) 0.123169 1.17187i 0.00923187 0.0878354i
\(179\) 11.8426 + 8.60413i 0.885156 + 0.643103i 0.934610 0.355673i \(-0.115748\pi\)
−0.0494548 + 0.998776i \(0.515748\pi\)
\(180\) −13.2181 + 0.668044i −0.985219 + 0.0497930i
\(181\) −13.9341 + 10.1237i −1.03571 + 0.752489i −0.969444 0.245313i \(-0.921109\pi\)
−0.0662678 + 0.997802i \(0.521109\pi\)
\(182\) −0.627486 1.08684i −0.0465123 0.0805617i
\(183\) −11.5533 + 10.7224i −0.854043 + 0.792626i
\(184\) 2.79800 + 0.594733i 0.206271 + 0.0438443i
\(185\) −15.5532 + 7.30728i −1.14349 + 0.537242i
\(186\) 1.16284 + 1.01570i 0.0852637 + 0.0744747i
\(187\) 0.956785 1.06262i 0.0699671 0.0777063i
\(188\) 7.88628 + 24.2715i 0.575166 + 1.77018i
\(189\) 18.0951 11.5687i 1.31622 0.841498i
\(190\) −0.0223519 0.0155551i −0.00162158 0.00112848i
\(191\) 0.389712 0.432819i 0.0281986 0.0313177i −0.728881 0.684641i \(-0.759959\pi\)
0.757079 + 0.653323i \(0.226626\pi\)
\(192\) 2.83746 + 12.4249i 0.204776 + 0.896688i
\(193\) −4.64632 + 8.04765i −0.334449 + 0.579283i −0.983379 0.181565i \(-0.941884\pi\)
0.648930 + 0.760848i \(0.275217\pi\)
\(194\) 0.181731 + 1.72905i 0.0130475 + 0.124139i
\(195\) −3.13783 6.42517i −0.224705 0.460116i
\(196\) 2.07960 19.7861i 0.148543 1.41329i
\(197\) −3.47512 2.52482i −0.247592 0.179886i 0.457067 0.889432i \(-0.348900\pi\)
−0.704659 + 0.709546i \(0.748900\pi\)
\(198\) 0.0131651 0.176241i 0.000935603 0.0125249i
\(199\) −3.20175 −0.226966 −0.113483 0.993540i \(-0.536201\pi\)
−0.113483 + 0.993540i \(0.536201\pi\)
\(200\) 2.08545 2.51467i 0.147464 0.177814i
\(201\) −14.9739 19.9696i −1.05618 1.40854i
\(202\) 1.92766 + 2.14088i 0.135630 + 0.150632i
\(203\) 24.5397 10.9258i 1.72235 0.766840i
\(204\) 0.205687 + 13.6393i 0.0144009 + 0.954942i
\(205\) 0.886660 10.4828i 0.0619270 0.732152i
\(206\) 1.59188 1.15657i 0.110912 0.0805820i
\(207\) −12.7588 + 3.11686i −0.886800 + 0.216637i
\(208\) −5.73325 + 4.16545i −0.397529 + 0.288822i
\(209\) −0.0177496 + 0.0197129i −0.00122776 + 0.00136357i
\(210\) −0.455829 + 2.59288i −0.0314552 + 0.178926i
\(211\) −4.85666 5.39387i −0.334347 0.371329i 0.552405 0.833576i \(-0.313710\pi\)
−0.886751 + 0.462246i \(0.847044\pi\)
\(212\) −3.65396 0.776673i −0.250955 0.0533421i
\(213\) 23.1682 + 2.08239i 1.58746 + 0.142683i
\(214\) −1.36583 + 0.290317i −0.0933665 + 0.0198457i
\(215\) −5.52611 + 4.18927i −0.376877 + 0.285706i
\(216\) 2.11774 + 2.65362i 0.144094 + 0.180556i
\(217\) −18.1249 + 13.1685i −1.23040 + 0.893938i
\(218\) 0.663982 + 1.15005i 0.0449705 + 0.0778912i
\(219\) −5.18968 22.7250i −0.350686 1.53561i
\(220\) −1.08110 1.15265i −0.0728875 0.0777116i
\(221\) −6.73257 + 2.99753i −0.452882 + 0.201636i
\(222\) 1.91208 + 1.06582i 0.128330 + 0.0715334i
\(223\) 0.581978 0.123703i 0.0389721 0.00828378i −0.188384 0.982095i \(-0.560325\pi\)
0.227357 + 0.973812i \(0.426992\pi\)
\(224\) 8.01038 0.535216
\(225\) −3.61395 + 14.5581i −0.240930 + 0.970543i
\(226\) −1.46249 −0.0972834
\(227\) 9.03312 1.92005i 0.599549 0.127438i 0.101868 0.994798i \(-0.467518\pi\)
0.497682 + 0.867360i \(0.334185\pi\)
\(228\) −0.00381575 0.253026i −0.000252704 0.0167571i
\(229\) 2.38530 1.06200i 0.157625 0.0701793i −0.326408 0.945229i \(-0.605838\pi\)
0.484033 + 0.875050i \(0.339172\pi\)
\(230\) 0.776458 1.41035i 0.0511981 0.0929956i
\(231\) 2.45061 + 0.755592i 0.161238 + 0.0497143i
\(232\) 2.12316 + 3.67742i 0.139392 + 0.241435i
\(233\) 5.35177 3.88829i 0.350606 0.254730i −0.398517 0.917161i \(-0.630475\pi\)
0.749123 + 0.662431i \(0.230475\pi\)
\(234\) −0.431446 + 0.802221i −0.0282045 + 0.0524428i
\(235\) 28.9180 0.588229i 1.88640 0.0383718i
\(236\) 9.54975 2.02986i 0.621636 0.132133i
\(237\) −4.36327 9.41535i −0.283425 0.611593i
\(238\) 2.65409 + 0.564144i 0.172039 + 0.0365680i
\(239\) 11.0538 + 12.2765i 0.715013 + 0.794102i 0.985690 0.168568i \(-0.0539143\pi\)
−0.270677 + 0.962670i \(0.587248\pi\)
\(240\) 14.8306 + 1.02944i 0.957310 + 0.0664499i
\(241\) 5.03131 5.58784i 0.324095 0.359944i −0.558975 0.829184i \(-0.688805\pi\)
0.883071 + 0.469240i \(0.155472\pi\)
\(242\) −1.44646 + 1.05092i −0.0929823 + 0.0675556i
\(243\) −14.0487 6.75520i −0.901228 0.433346i
\(244\) 14.5256 10.5534i 0.929903 0.675614i
\(245\) −20.7811 8.75040i −1.32766 0.559042i
\(246\) −1.15037 + 0.687502i −0.0733451 + 0.0438335i
\(247\) 0.124898 0.0556081i 0.00794706 0.00353826i
\(248\) −2.36975 2.63188i −0.150479 0.167124i
\(249\) −4.96285 + 0.597405i −0.314508 + 0.0378590i
\(250\) −1.01473 1.53333i −0.0641773 0.0969763i
\(251\) −19.2136 −1.21275 −0.606377 0.795177i \(-0.707378\pi\)
−0.606377 + 0.795177i \(0.707378\pi\)
\(252\) −22.0390 + 10.6199i −1.38833 + 0.668991i
\(253\) −1.26874 0.921796i −0.0797652 0.0579528i
\(254\) −0.0557813 + 0.530724i −0.00350003 + 0.0333006i
\(255\) 14.8633 + 4.25376i 0.930775 + 0.266381i
\(256\) −1.45085 13.8039i −0.0906779 0.862742i
\(257\) −9.44838 + 16.3651i −0.589374 + 1.02083i 0.404941 + 0.914343i \(0.367292\pi\)
−0.994315 + 0.106483i \(0.966041\pi\)
\(258\) 0.844163 + 0.260280i 0.0525553 + 0.0162043i
\(259\) −21.2544 + 23.6055i −1.32069 + 1.46677i
\(260\) 2.67395 + 7.69353i 0.165831 + 0.477132i
\(261\) −16.1118 10.9792i −0.997294 0.679595i
\(262\) 0.437266 + 1.34577i 0.0270144 + 0.0831417i
\(263\) 10.8268 12.0244i 0.667611 0.741457i −0.310264 0.950651i \(-0.600417\pi\)
0.977874 + 0.209194i \(0.0670840\pi\)
\(264\) −0.0782955 + 0.397752i −0.00481875 + 0.0244799i
\(265\) −2.04188 + 3.70885i −0.125432 + 0.227833i
\(266\) −0.0492367 0.0104656i −0.00301890 0.000641686i
\(267\) −2.76293 12.0985i −0.169089 0.740419i
\(268\) 14.2158 + 24.6225i 0.868368 + 1.50406i
\(269\) −1.72574 + 1.25382i −0.105220 + 0.0764469i −0.639151 0.769081i \(-0.720714\pi\)
0.533931 + 0.845528i \(0.320714\pi\)
\(270\) 1.77470 0.708294i 0.108005 0.0431054i
\(271\) −13.1625 9.56310i −0.799563 0.580917i 0.111223 0.993796i \(-0.464523\pi\)
−0.910786 + 0.412879i \(0.864523\pi\)
\(272\) 1.60160 15.2382i 0.0971114 0.923954i
\(273\) −9.95457 8.69495i −0.602478 0.526242i
\(274\) −0.471256 + 0.816239i −0.0284696 + 0.0493108i
\(275\) −1.60523 + 0.794424i −0.0967993 + 0.0479056i
\(276\) 14.8535 1.78800i 0.894078 0.107625i
\(277\) 8.33504 1.77167i 0.500804 0.106449i 0.0494184 0.998778i \(-0.484263\pi\)
0.451386 + 0.892329i \(0.350930\pi\)
\(278\) 2.20656 + 1.60316i 0.132341 + 0.0961511i
\(279\) 15.0478 + 6.16298i 0.900889 + 0.368968i
\(280\) 1.74888 5.77993i 0.104516 0.345417i
\(281\) −7.58966 3.37913i −0.452761 0.201582i 0.167670 0.985843i \(-0.446376\pi\)
−0.620431 + 0.784261i \(0.713042\pi\)
\(282\) −2.21044 2.94789i −0.131630 0.175544i
\(283\) −0.547146 5.20574i −0.0325244 0.309449i −0.998675 0.0514690i \(-0.983610\pi\)
0.966150 0.257980i \(-0.0830570\pi\)
\(284\) −25.9179 5.50902i −1.53794 0.326900i
\(285\) −0.275733 0.0789126i −0.0163330 0.00467438i
\(286\) −0.106386 + 0.0226130i −0.00629073 + 0.00133714i
\(287\) −6.00921 18.4944i −0.354712 1.09169i
\(288\) −3.05755 4.94519i −0.180168 0.291398i
\(289\) −0.329378 + 1.01372i −0.0193752 + 0.0596307i
\(290\) 2.32711 0.544333i 0.136653 0.0319643i
\(291\) 7.69894 + 16.6133i 0.451320 + 0.973888i
\(292\) 2.77545 + 26.4067i 0.162421 + 1.54533i
\(293\) −10.1972 + 17.6621i −0.595728 + 1.03183i 0.397715 + 0.917509i \(0.369803\pi\)
−0.993444 + 0.114323i \(0.963530\pi\)
\(294\) 0.639500 + 2.80029i 0.0372964 + 0.163316i
\(295\) 0.932580 11.0257i 0.0542969 0.641943i
\(296\) −4.06228 2.95142i −0.236115 0.171548i
\(297\) −0.468929 1.80128i −0.0272100 0.104521i
\(298\) −0.356220 + 1.09633i −0.0206353 + 0.0635089i
\(299\) 4.04142 + 6.99994i 0.233721 + 0.404817i
\(300\) 6.06896 15.9721i 0.350392 0.922151i
\(301\) −6.40909 + 11.1009i −0.369414 + 0.639843i
\(302\) 0.518120 + 0.575430i 0.0298144 + 0.0331123i
\(303\) 26.5016 + 14.7725i 1.52248 + 0.848655i
\(304\) −0.0297118 + 0.282689i −0.00170409 + 0.0162133i
\(305\) −6.68047 19.2212i −0.382523 1.10060i
\(306\) −0.664787 1.85383i −0.0380034 0.105976i
\(307\) 8.63664 0.492919 0.246459 0.969153i \(-0.420733\pi\)
0.246459 + 0.969153i \(0.420733\pi\)
\(308\) −2.66858 1.18813i −0.152056 0.0676999i
\(309\) 11.9267 16.9473i 0.678486 0.964100i
\(310\) −1.80407 + 0.847596i −0.102464 + 0.0481402i
\(311\) −9.01162 10.0084i −0.511002 0.567525i 0.431334 0.902192i \(-0.358043\pi\)
−0.942337 + 0.334667i \(0.891376\pi\)
\(312\) 1.20247 1.70866i 0.0680765 0.0967337i
\(313\) −4.88783 + 5.42848i −0.276276 + 0.306836i −0.865274 0.501299i \(-0.832856\pi\)
0.588998 + 0.808134i \(0.299523\pi\)
\(314\) 0.865788 2.66462i 0.0488593 0.150373i
\(315\) 4.28641 + 27.3935i 0.241512 + 1.54345i
\(316\) 3.65275 + 11.2420i 0.205483 + 0.632413i
\(317\) −21.2233 9.44920i −1.19202 0.530720i −0.287757 0.957703i \(-0.592910\pi\)
−0.904259 + 0.426983i \(0.859576\pi\)
\(318\) 0.535467 0.0644571i 0.0300275 0.00361457i
\(319\) −0.243344 2.31526i −0.0136246 0.129630i
\(320\) −16.1601 3.09285i −0.903377 0.172895i
\(321\) −12.6236 + 7.54431i −0.704582 + 0.421082i
\(322\) 0.311070 2.95963i 0.0173353 0.164934i
\(323\) −0.0913448 + 0.281131i −0.00508256 + 0.0156425i
\(324\) 14.9684 + 9.55212i 0.831578 + 0.530674i
\(325\) 9.22354 0.375392i 0.511630 0.0208230i
\(326\) 0.0834143 + 0.144478i 0.00461989 + 0.00800189i
\(327\) 10.5336 + 9.20067i 0.582507 + 0.508798i
\(328\) 2.80827 1.25032i 0.155061 0.0690374i
\(329\) 48.8424 21.7460i 2.69277 1.19890i
\(330\) 0.201508 + 0.107011i 0.0110926 + 0.00589078i
\(331\) 24.5649 + 10.9370i 1.35021 + 0.601152i 0.949128 0.314890i \(-0.101968\pi\)
0.401082 + 0.916042i \(0.368634\pi\)
\(332\) 5.69392 0.312494
\(333\) 22.6856 + 4.11123i 1.24316 + 0.225294i
\(334\) −0.194788 0.599497i −0.0106583 0.0328030i
\(335\) 31.3763 7.33921i 1.71427 0.400984i
\(336\) 26.0036 8.88478i 1.41862 0.484704i
\(337\) −8.43475 1.79286i −0.459470 0.0976634i −0.0276393 0.999618i \(-0.508799\pi\)
−0.431831 + 0.901955i \(0.642132\pi\)
\(338\) −1.54291 0.327956i −0.0839232 0.0178384i
\(339\) −14.5755 + 4.98008i −0.791633 + 0.270481i
\(340\) −16.2301 6.83408i −0.880202 0.370630i
\(341\) 0.599994 + 1.84659i 0.0324915 + 0.0999986i
\(342\) 0.0123327 + 0.0343909i 0.000666874 + 0.00185965i
\(343\) −12.7466 −0.688251
\(344\) −1.85110 0.824163i −0.0998046 0.0444359i
\(345\) 2.93583 16.6999i 0.158060 0.899090i
\(346\) −3.33267 + 1.48380i −0.179165 + 0.0797696i
\(347\) 32.0841 14.2848i 1.72236 0.766846i 0.725456 0.688269i \(-0.241629\pi\)
0.996908 0.0785773i \(-0.0250377\pi\)
\(348\) 16.7265 + 14.6100i 0.896635 + 0.783177i
\(349\) 10.5156 + 18.2135i 0.562886 + 0.974946i 0.997243 + 0.0742057i \(0.0236421\pi\)
−0.434357 + 0.900741i \(0.643025\pi\)
\(350\) −2.82860 1.88426i −0.151195 0.100718i
\(351\) −1.56817 + 9.46428i −0.0837027 + 0.505166i
\(352\) 0.214527 0.660245i 0.0114343 0.0351912i
\(353\) −2.05945 + 19.5943i −0.109613 + 1.04290i 0.792048 + 0.610459i \(0.209015\pi\)
−0.901662 + 0.432443i \(0.857652\pi\)
\(354\) −1.20995 + 0.723108i −0.0643082 + 0.0384328i
\(355\) −14.4833 + 26.3072i −0.768691 + 1.39624i
\(356\) 1.47762 + 14.0586i 0.0783138 + 0.745106i
\(357\) 28.3723 3.41533i 1.50162 0.180758i
\(358\) 2.19924 + 0.979164i 0.116233 + 0.0517504i
\(359\) −0.938606 2.88873i −0.0495377 0.152461i 0.923228 0.384253i \(-0.125541\pi\)
−0.972765 + 0.231792i \(0.925541\pi\)
\(360\) −4.23578 + 1.12652i −0.223245 + 0.0593728i
\(361\) −5.86963 + 18.0649i −0.308928 + 0.950782i
\(362\) −1.89533 + 2.10498i −0.0996163 + 0.110635i
\(363\) −10.8372 + 15.3992i −0.568806 + 0.808249i
\(364\) 10.0741 + 11.1885i 0.528029 + 0.586435i
\(365\) 29.5567 + 5.65678i 1.54707 + 0.296090i
\(366\) −1.49187 + 2.11989i −0.0779815 + 0.110808i
\(367\) −6.63569 2.95440i −0.346380 0.154218i 0.226170 0.974088i \(-0.427379\pi\)
−0.572551 + 0.819869i \(0.694046\pi\)
\(368\) −16.8048 −0.876010
\(369\) −9.12380 + 10.7691i −0.474966 + 0.560615i
\(370\) −2.25209 + 1.70728i −0.117080 + 0.0887572i
\(371\) −0.818032 + 7.78306i −0.0424701 + 0.404076i
\(372\) −16.1789 9.01838i −0.838836 0.467581i
\(373\) 7.06598 + 7.84757i 0.365863 + 0.406332i 0.897765 0.440474i \(-0.145190\pi\)
−0.531903 + 0.846805i \(0.678523\pi\)
\(374\) 0.117578 0.203651i 0.00607983 0.0105306i
\(375\) −15.3344 11.8261i −0.791862 0.610699i
\(376\) 4.22581 + 7.31932i 0.217930 + 0.377465i
\(377\) −3.70779 + 11.4114i −0.190961 + 0.587718i
\(378\) 2.51527 2.47970i 0.129372 0.127542i
\(379\) −28.5159 20.7180i −1.46476 1.06421i −0.982090 0.188412i \(-0.939666\pi\)
−0.482673 0.875801i \(-0.660334\pi\)
\(380\) 0.301089 + 0.126781i 0.0154456 + 0.00650372i
\(381\) 1.25129 + 5.47927i 0.0641058 + 0.280711i
\(382\) 0.0478913 0.0829501i 0.00245033 0.00424410i
\(383\) 0.652307 + 6.20628i 0.0333313 + 0.317126i 0.998466 + 0.0553718i \(0.0176344\pi\)
−0.965134 + 0.261754i \(0.915699\pi\)
\(384\) 3.70408 + 7.99292i 0.189023 + 0.407887i
\(385\) −2.16479 + 2.50486i −0.110328 + 0.127660i
\(386\) −0.472253 + 1.45344i −0.0240370 + 0.0739784i
\(387\) 9.29943 0.280543i 0.472717 0.0142608i
\(388\) −6.44524 19.8364i −0.327208 1.00704i
\(389\) −27.8772 + 5.92548i −1.41343 + 0.300434i −0.850459 0.526042i \(-0.823676\pi\)
−0.562972 + 0.826476i \(0.690342\pi\)
\(390\) −0.724456 0.926285i −0.0366843 0.0469043i
\(391\) −17.0940 3.63345i −0.864483 0.183752i
\(392\) −0.688700 6.55254i −0.0347846 0.330953i
\(393\) 8.94050 + 11.9232i 0.450989 + 0.601448i
\(394\) −0.645351 0.287329i −0.0325123 0.0144754i
\(395\) 13.3942 0.272455i 0.673934 0.0137087i
\(396\) 0.285103 + 2.10095i 0.0143270 + 0.105577i
\(397\) −4.87063 3.53872i −0.244450 0.177603i 0.458814 0.888533i \(-0.348275\pi\)
−0.703263 + 0.710929i \(0.748275\pi\)
\(398\) −0.515045 + 0.109476i −0.0258169 + 0.00548755i
\(399\) −0.526342 + 0.0633587i −0.0263501 + 0.00317190i
\(400\) −8.91229 + 16.9975i −0.445615 + 0.849874i
\(401\) 13.2682 22.9812i 0.662583 1.14763i −0.317351 0.948308i \(-0.602793\pi\)
0.979934 0.199320i \(-0.0638733\pi\)
\(402\) −3.09157 2.70038i −0.154194 0.134683i
\(403\) 1.04604 9.95237i 0.0521068 0.495763i
\(404\) −27.9602 20.3143i −1.39107 1.01067i
\(405\) 15.2752 13.1022i 0.759030 0.651056i
\(406\) 3.57397 2.59664i 0.177373 0.128869i
\(407\) 1.37643 + 2.38405i 0.0682272 + 0.118173i
\(408\) 1.00575 + 4.40405i 0.0497920 + 0.218033i
\(409\) 26.7098 + 5.67735i 1.32072 + 0.280727i 0.813738 0.581232i \(-0.197429\pi\)
0.506978 + 0.861959i \(0.330762\pi\)
\(410\) −0.215804 1.71662i −0.0106578 0.0847779i
\(411\) −1.91718 + 9.73954i −0.0945676 + 0.480416i
\(412\) −15.7953 + 17.5424i −0.778178 + 0.864254i
\(413\) −6.32043 19.4523i −0.311008 0.957184i
\(414\) −1.94586 + 0.937648i −0.0956337 + 0.0460829i
\(415\) 1.86894 6.17670i 0.0917425 0.303202i
\(416\) −2.39418 + 2.65901i −0.117384 + 0.130369i
\(417\) 27.4502 + 8.46366i 1.34424 + 0.414467i
\(418\) −0.00218123 + 0.00377800i −0.000106687 + 0.000184788i
\(419\) 1.23627 + 11.7624i 0.0603960 + 0.574629i 0.982314 + 0.187243i \(0.0599553\pi\)
−0.921918 + 0.387386i \(0.873378\pi\)
\(420\) −1.11837 31.5634i −0.0545710 1.54014i
\(421\) −0.191178 + 1.81894i −0.00931746 + 0.0886497i −0.998192 0.0600998i \(-0.980858\pi\)
0.988875 + 0.148749i \(0.0475248\pi\)
\(422\) −0.965691 0.701616i −0.0470091 0.0341541i
\(423\) −32.0679 21.8523i −1.55919 1.06250i
\(424\) −1.23711 −0.0600795
\(425\) −12.7408 + 15.3631i −0.618020 + 0.745219i
\(426\) 3.79812 0.457200i 0.184019 0.0221514i
\(427\) −25.1688 27.9528i −1.21800 1.35273i
\(428\) 15.3034 6.81350i 0.739716 0.329343i
\(429\) −0.983265 + 0.587633i −0.0474725 + 0.0283712i
\(430\) −0.745707 + 0.862853i −0.0359612 + 0.0416105i
\(431\) 28.5016 20.7076i 1.37288 0.997452i 0.375369 0.926876i \(-0.377516\pi\)
0.997506 0.0705766i \(-0.0224839\pi\)
\(432\) −15.4105 12.6620i −0.741440 0.609200i
\(433\) 3.17805 2.30899i 0.152727 0.110963i −0.508797 0.860886i \(-0.669910\pi\)
0.661525 + 0.749923i \(0.269910\pi\)
\(434\) −2.46537 + 2.73808i −0.118342 + 0.131432i
\(435\) 21.3390 13.3492i 1.02313 0.640047i
\(436\) −10.6601 11.8392i −0.510525 0.566996i
\(437\) 0.317116 + 0.0674052i 0.0151697 + 0.00322443i
\(438\) −1.61186 3.47817i −0.0770175 0.166194i
\(439\) −18.8943 + 4.01611i −0.901777 + 0.191679i −0.635394 0.772188i \(-0.719162\pi\)
−0.266384 + 0.963867i \(0.585829\pi\)
\(440\) −0.429567 0.298943i −0.0204788 0.0142515i
\(441\) 15.9090 + 25.7307i 0.757570 + 1.22527i
\(442\) −0.980532 + 0.712398i −0.0466392 + 0.0338853i
\(443\) −2.24077 3.88113i −0.106462 0.184398i 0.807872 0.589357i \(-0.200619\pi\)
−0.914335 + 0.404959i \(0.867286\pi\)
\(444\) −25.0959 7.73778i −1.19100 0.367219i
\(445\) 15.7357 + 3.01161i 0.745942 + 0.142764i
\(446\) 0.0893894 0.0397987i 0.00423271 0.00188452i
\(447\) 0.183066 + 12.1393i 0.00865874 + 0.574170i
\(448\) −29.7487 + 6.32329i −1.40550 + 0.298747i
\(449\) −11.2399 −0.530445 −0.265222 0.964187i \(-0.585445\pi\)
−0.265222 + 0.964187i \(0.585445\pi\)
\(450\) −0.0835716 + 2.46545i −0.00393961 + 0.116222i
\(451\) −1.68531 −0.0793583
\(452\) 17.1617 3.64784i 0.807219 0.171580i
\(453\) 7.12316 + 3.97057i 0.334675 + 0.186554i
\(454\) 1.38745 0.617732i 0.0651162 0.0289916i
\(455\) 15.4438 7.25589i 0.724017 0.340161i
\(456\) −0.0186579 0.0817007i −0.000873737 0.00382599i
\(457\) 7.48417 + 12.9630i 0.350095 + 0.606381i 0.986266 0.165166i \(-0.0528161\pi\)
−0.636171 + 0.771548i \(0.719483\pi\)
\(458\) 0.347396 0.252398i 0.0162327 0.0117938i
\(459\) −12.9381 16.2119i −0.603898 0.756708i
\(460\) −5.59363 + 18.4866i −0.260805 + 0.861940i
\(461\) −29.4933 + 6.26900i −1.37364 + 0.291976i −0.834856 0.550468i \(-0.814449\pi\)
−0.538784 + 0.842444i \(0.681116\pi\)
\(462\) 0.420049 + 0.0377546i 0.0195424 + 0.00175650i
\(463\) 27.0421 + 5.74797i 1.25675 + 0.267131i 0.787711 0.616045i \(-0.211266\pi\)
0.469041 + 0.883176i \(0.344599\pi\)
\(464\) −16.6922 18.5386i −0.774915 0.860631i
\(465\) −15.0935 + 14.5906i −0.699945 + 0.676621i
\(466\) 0.727954 0.808474i 0.0337218 0.0374519i
\(467\) −23.9054 + 17.3683i −1.10621 + 0.803709i −0.982063 0.188555i \(-0.939620\pi\)
−0.124147 + 0.992264i \(0.539620\pi\)
\(468\) 3.06190 10.4899i 0.141536 0.484894i
\(469\) 48.1876 35.0103i 2.22510 1.61663i
\(470\) 4.63174 1.08341i 0.213646 0.0499738i
\(471\) −0.444940 29.5044i −0.0205018 1.35949i
\(472\) 2.95371 1.31508i 0.135955 0.0605313i
\(473\) 0.743333 + 0.825554i 0.0341785 + 0.0379590i
\(474\) −1.02383 1.36540i −0.0470259 0.0627147i
\(475\) 0.236358 0.285005i 0.0108449 0.0130769i
\(476\) −32.5517 −1.49201
\(477\) 5.11709 2.46577i 0.234296 0.112900i
\(478\) 2.19793 + 1.59689i 0.100531 + 0.0730399i
\(479\) 1.40083 13.3280i 0.0640056 0.608973i −0.914761 0.403995i \(-0.867621\pi\)
0.978767 0.204977i \(-0.0657121\pi\)
\(480\) 7.43236 1.04842i 0.339239 0.0478538i
\(481\) −1.48309 14.1106i −0.0676230 0.643390i
\(482\) 0.618292 1.07091i 0.0281624 0.0487788i
\(483\) −6.97796 30.5556i −0.317508 1.39033i
\(484\) 14.3524 15.9400i 0.652382 0.724544i
\(485\) −23.6339 + 0.480743i −1.07316 + 0.0218294i
\(486\) −2.49091 0.606302i −0.112990 0.0275024i
\(487\) 0.825534 + 2.54073i 0.0374085 + 0.115132i 0.968017 0.250885i \(-0.0807215\pi\)
−0.930608 + 0.366016i \(0.880721\pi\)
\(488\) 3.97865 4.41874i 0.180105 0.200027i
\(489\) 1.32330 + 1.15586i 0.0598418 + 0.0522697i
\(490\) −3.64213 0.697059i −0.164535 0.0314899i
\(491\) 17.5164 + 3.72322i 0.790503 + 0.168027i 0.585433 0.810721i \(-0.300925\pi\)
0.205070 + 0.978747i \(0.434258\pi\)
\(492\) 11.7843 10.9369i 0.531279 0.493073i
\(493\) −12.9712 22.4668i −0.584193 1.01185i
\(494\) 0.0181901 0.0132159i 0.000818413 0.000594612i
\(495\) 2.37267 + 0.380326i 0.106643 + 0.0170944i
\(496\) 16.8321 + 12.2293i 0.755785 + 0.549110i
\(497\) −5.80238 + 55.2060i −0.260272 + 2.47633i
\(498\) −0.777914 + 0.265793i −0.0348592 + 0.0119105i
\(499\) −10.2734 + 17.7940i −0.459899 + 0.796568i −0.998955 0.0457019i \(-0.985448\pi\)
0.539057 + 0.842270i \(0.318781\pi\)
\(500\) 15.7320 + 15.4620i 0.703556 + 0.691481i
\(501\) −3.98272 5.31143i −0.177935 0.237297i
\(502\) −3.09077 + 0.656964i −0.137948 + 0.0293218i
\(503\) −32.2593 23.4377i −1.43837 1.04504i −0.988380 0.152003i \(-0.951428\pi\)
−0.449990 0.893034i \(-0.648572\pi\)
\(504\) −6.40792 + 4.95760i −0.285431 + 0.220829i
\(505\) −31.2142 + 23.6631i −1.38901 + 1.05299i
\(506\) −0.235613 0.104902i −0.0104743 0.00466345i
\(507\) −16.4938 + 1.98544i −0.732513 + 0.0881766i
\(508\) −0.669195 6.36696i −0.0296907 0.282488i
\(509\) −19.4228 4.12845i −0.860902 0.182990i −0.243754 0.969837i \(-0.578379\pi\)
−0.617148 + 0.786847i \(0.711712\pi\)
\(510\) 2.53641 + 0.176060i 0.112314 + 0.00779607i
\(511\) 54.4102 11.5652i 2.40696 0.511616i
\(512\) −3.84880 11.8454i −0.170094 0.523497i
\(513\) 0.240018 + 0.300752i 0.0105971 + 0.0132785i
\(514\) −0.960336 + 2.95561i −0.0423586 + 0.130366i
\(515\) 13.8453 + 22.8926i 0.610097 + 1.00877i
\(516\) −10.5551 0.948708i −0.464663 0.0417645i
\(517\) −0.484337 4.60815i −0.0213011 0.202666i
\(518\) −2.61193 + 4.52400i −0.114762 + 0.198773i
\(519\) −28.1615 + 26.1363i −1.23615 + 1.14726i
\(520\) 1.39591 + 2.30807i 0.0612146 + 0.101216i
\(521\) 8.76012 + 6.36460i 0.383788 + 0.278838i 0.762905 0.646510i \(-0.223772\pi\)
−0.379117 + 0.925349i \(0.623772\pi\)
\(522\) −2.96721 1.21525i −0.129871 0.0531900i
\(523\) 4.62026 14.2197i 0.202030 0.621785i −0.797792 0.602932i \(-0.793999\pi\)
0.999822 0.0188521i \(-0.00600116\pi\)
\(524\) −8.48783 14.7014i −0.370793 0.642232i
\(525\) −34.6067 9.14698i −1.51036 0.399207i
\(526\) 1.33050 2.30449i 0.0580124 0.100480i
\(527\) 14.4777 + 16.0791i 0.630659 + 0.700418i
\(528\) −0.0359105 2.38126i −0.00156280 0.103631i
\(529\) 0.400662 3.81205i 0.0174201 0.165741i
\(530\) −0.201649 + 0.666436i −0.00875908 + 0.0289481i
\(531\) −9.59632 + 11.3268i −0.416445 + 0.491541i
\(532\) 0.603877 0.0261814
\(533\) 7.93521 + 3.53298i 0.343712 + 0.153030i
\(534\) −0.858136 1.85174i −0.0371352 0.0801328i
\(535\) −2.36813 18.8374i −0.102383 0.814410i
\(536\) 6.30031 + 6.99721i 0.272132 + 0.302233i
\(537\) 25.2524 + 2.26972i 1.08972 + 0.0979454i
\(538\) −0.234737 + 0.260702i −0.0101202 + 0.0112397i
\(539\) −1.11622 + 3.43538i −0.0480791 + 0.147972i
\(540\) −19.0587 + 12.7381i −0.820156 + 0.548161i
\(541\) 11.4490 + 35.2363i 0.492230 + 1.51493i 0.821230 + 0.570597i \(0.193288\pi\)
−0.329000 + 0.944330i \(0.606712\pi\)
\(542\) −2.44435 1.08829i −0.104994 0.0467463i
\(543\) −11.7214 + 27.4327i −0.503014 + 1.17725i
\(544\) −0.808645 7.69374i −0.0346704 0.329867i
\(545\) −16.3421 + 7.67791i −0.700017 + 0.328885i
\(546\) −1.89863 1.05833i −0.0812539 0.0452923i
\(547\) 2.23082 21.2248i 0.0953828 0.907507i −0.837284 0.546768i \(-0.815858\pi\)
0.932667 0.360739i \(-0.117475\pi\)
\(548\) 3.49408 10.7537i 0.149260 0.459374i
\(549\) −7.64971 + 26.2074i −0.326482 + 1.11851i
\(550\) −0.231060 + 0.182681i −0.00985245 + 0.00778955i
\(551\) 0.240632 + 0.416787i 0.0102513 + 0.0177557i
\(552\) 4.68843 1.60192i 0.199553 0.0681821i
\(553\) 22.6227 10.0723i 0.962015 0.428317i
\(554\) 1.28023 0.569994i 0.0543916 0.0242167i
\(555\) −16.6312 + 24.6840i −0.705955 + 1.04778i
\(556\) −29.8918 13.3087i −1.26769 0.564413i
\(557\) 38.6947 1.63955 0.819773 0.572689i \(-0.194100\pi\)
0.819773 + 0.572689i \(0.194100\pi\)
\(558\) 2.63137 + 0.476875i 0.111395 + 0.0201877i
\(559\) −1.76930 5.44535i −0.0748335 0.230314i
\(560\) −2.98996 + 35.3498i −0.126349 + 1.49380i
\(561\) 0.478337 2.43002i 0.0201954 0.102595i
\(562\) −1.33644 0.284069i −0.0563744 0.0119827i
\(563\) −13.3515 2.83794i −0.562697 0.119605i −0.0822233 0.996614i \(-0.526202\pi\)
−0.480474 + 0.877009i \(0.659535\pi\)
\(564\) 33.2914 + 29.0788i 1.40182 + 1.22444i
\(565\) 1.67593 19.8142i 0.0705068 0.833590i
\(566\) −0.266014 0.818707i −0.0111814 0.0344128i
\(567\) 16.6239 33.2783i 0.698138 1.39756i
\(568\) −8.77496 −0.368189
\(569\) 21.2151 + 9.44557i 0.889383 + 0.395979i 0.799987 0.600017i \(-0.204840\pi\)
0.0893962 + 0.995996i \(0.471506\pi\)
\(570\) −0.0470536 0.00326614i −0.00197086 0.000136804i
\(571\) 23.2475 10.3505i 0.972879 0.433154i 0.142159 0.989844i \(-0.454596\pi\)
0.830720 + 0.556690i \(0.187929\pi\)
\(572\) 1.19199 0.530709i 0.0498397 0.0221901i
\(573\) 0.194833 0.989780i 0.00813928 0.0413486i
\(574\) −1.59904 2.76961i −0.0667425 0.115601i
\(575\) 18.2180 + 12.1358i 0.759743 + 0.506099i
\(576\) 15.2587 + 15.9517i 0.635780 + 0.664656i
\(577\) 9.47834 29.1713i 0.394588 1.21442i −0.534693 0.845046i \(-0.679573\pi\)
0.929282 0.369372i \(-0.120427\pi\)
\(578\) −0.0183232 + 0.174333i −0.000762143 + 0.00725131i
\(579\) 0.242697 + 16.0935i 0.0100861 + 0.668822i
\(580\) −25.9500 + 12.1920i −1.07751 + 0.506243i
\(581\) −1.24687 11.8632i −0.0517290 0.492169i
\(582\) 1.80653 + 2.40923i 0.0748831 + 0.0998656i
\(583\) 0.619601 + 0.275864i 0.0256612 + 0.0114251i
\(584\) 2.71726 + 8.36287i 0.112441 + 0.346058i
\(585\) −10.3743 6.76465i −0.428924 0.279684i
\(586\) −1.03645 + 3.18986i −0.0428153 + 0.131772i
\(587\) −9.90751 + 11.0034i −0.408927 + 0.454159i −0.912064 0.410047i \(-0.865512\pi\)
0.503138 + 0.864206i \(0.332179\pi\)
\(588\) −14.4889 31.2652i −0.597514 1.28935i
\(589\) −0.268580 0.298288i −0.0110666 0.0122908i
\(590\) −0.226981 1.80553i −0.00934464 0.0743324i
\(591\) −7.41013 0.666032i −0.304812 0.0273969i
\(592\) 26.9483 + 11.9982i 1.10757 + 0.493122i
\(593\) 29.3262 1.20428 0.602140 0.798390i \(-0.294315\pi\)
0.602140 + 0.798390i \(0.294315\pi\)
\(594\) −0.137024 0.273727i −0.00562217 0.0112312i
\(595\) −10.6846 + 35.3118i −0.438026 + 1.44764i
\(596\) 1.44555 13.7535i 0.0592122 0.563366i
\(597\) −4.76027 + 2.84490i −0.194825 + 0.116434i
\(598\) 0.889463 + 0.987849i 0.0363728 + 0.0403961i
\(599\) 2.03948 3.53249i 0.0833310 0.144334i −0.821348 0.570428i \(-0.806777\pi\)
0.904679 + 0.426094i \(0.140111\pi\)
\(600\) 0.866190 5.59176i 0.0353621 0.228283i
\(601\) −8.15219 14.1200i −0.332535 0.575967i 0.650474 0.759529i \(-0.274570\pi\)
−0.983008 + 0.183562i \(0.941237\pi\)
\(602\) −0.651421 + 2.00487i −0.0265500 + 0.0817124i
\(603\) −40.0067 16.3851i −1.62920 0.667254i
\(604\) −7.51520 5.46011i −0.305789 0.222169i
\(605\) −12.5806 20.8014i −0.511472 0.845696i
\(606\) 4.76826 + 1.47019i 0.193697 + 0.0597224i
\(607\) 9.93751 17.2123i 0.403351 0.698625i −0.590777 0.806835i \(-0.701179\pi\)
0.994128 + 0.108210i \(0.0345120\pi\)
\(608\) 0.0150014 + 0.142729i 0.000608387 + 0.00578842i
\(609\) 26.7769 38.0488i 1.08505 1.54182i
\(610\) −1.73187 2.86356i −0.0701212 0.115942i
\(611\) −7.37976 + 22.7126i −0.298553 + 0.918852i
\(612\) 12.4249 + 20.0958i 0.502248 + 0.812323i
\(613\) 1.01670 + 3.12907i 0.0410639 + 0.126382i 0.969487 0.245143i \(-0.0788350\pi\)
−0.928423 + 0.371525i \(0.878835\pi\)
\(614\) 1.38932 0.295309i 0.0560684 0.0119177i
\(615\) −7.99620 16.3734i −0.322438 0.660239i
\(616\) −0.946247 0.201131i −0.0381254 0.00810380i
\(617\) −4.59814 43.7484i −0.185114 1.76124i −0.554703 0.832048i \(-0.687168\pi\)
0.369589 0.929195i \(-0.379499\pi\)
\(618\) 1.33910 3.13401i 0.0538665 0.126068i
\(619\) −10.3474 4.60696i −0.415897 0.185169i 0.188110 0.982148i \(-0.439764\pi\)
−0.604008 + 0.796978i \(0.706430\pi\)
\(620\) 19.0559 14.4460i 0.765302 0.580166i
\(621\) −16.2000 + 15.9709i −0.650083 + 0.640888i
\(622\) −1.79186 1.30186i −0.0718469 0.0521998i
\(623\) 28.9674 6.15721i 1.16055 0.246684i
\(624\) −4.82284 + 11.2873i −0.193068 + 0.451855i
\(625\) 21.9368 11.9907i 0.877471 0.479630i
\(626\) −0.600659 + 1.04037i −0.0240072 + 0.0415817i
\(627\) −0.00887376 + 0.0450799i −0.000354384 + 0.00180032i
\(628\) −3.51340 + 33.4278i −0.140200 + 1.33391i
\(629\) 24.8180 + 18.0313i 0.989559 + 0.718956i
\(630\) 1.62618 + 4.26005i 0.0647886 + 0.169724i
\(631\) 19.7944 14.3815i 0.788005 0.572519i −0.119366 0.992850i \(-0.538086\pi\)
0.907371 + 0.420331i \(0.138086\pi\)
\(632\) 1.95730 + 3.39015i 0.0778573 + 0.134853i
\(633\) −12.0134 3.70409i −0.477492 0.147224i
\(634\) −3.73714 0.794354i −0.148421 0.0315478i
\(635\) −7.12647 1.36392i −0.282805 0.0541255i
\(636\) −6.12271 + 2.09197i −0.242781 + 0.0829521i
\(637\) 12.4574 13.8353i 0.493579 0.548175i
\(638\) −0.118310 0.364121i −0.00468394 0.0144157i
\(639\) 36.2960 17.4899i 1.43585 0.691891i
\(640\) −11.3706 + 0.231293i −0.449464 + 0.00914267i
\(641\) 19.5816 21.7476i 0.773426 0.858977i −0.219755 0.975555i \(-0.570526\pi\)
0.993182 + 0.116578i \(0.0371925\pi\)
\(642\) −1.77272 + 1.64524i −0.0699638 + 0.0649324i
\(643\) −3.57430 + 6.19087i −0.140957 + 0.244144i −0.927857 0.372936i \(-0.878351\pi\)
0.786900 + 0.617080i \(0.211685\pi\)
\(644\) 3.73183 + 35.5060i 0.147055 + 1.39913i
\(645\) −4.49370 + 11.1387i −0.176939 + 0.438585i
\(646\) −0.00508147 + 0.0483470i −0.000199928 + 0.00190219i
\(647\) 25.5288 + 18.5478i 1.00364 + 0.729188i 0.962866 0.269980i \(-0.0870171\pi\)
0.0407758 + 0.999168i \(0.487017\pi\)
\(648\) 5.50645 + 2.06361i 0.216314 + 0.0810662i
\(649\) −1.77260 −0.0695805
\(650\) 1.47090 0.375764i 0.0576933 0.0147387i
\(651\) −15.2468 + 35.6834i −0.597568 + 1.39854i
\(652\) −1.33920 1.48733i −0.0524471 0.0582484i
\(653\) −2.13507 + 0.950593i −0.0835516 + 0.0371996i −0.448087 0.893990i \(-0.647895\pi\)
0.364535 + 0.931190i \(0.381228\pi\)
\(654\) 2.00906 + 1.11988i 0.0785605 + 0.0437909i
\(655\) −18.7339 + 4.38203i −0.731993 + 0.171220i
\(656\) −14.6102 + 10.6149i −0.570431 + 0.414443i
\(657\) −27.9080 29.1756i −1.08880 1.13825i
\(658\) 7.11341 5.16819i 0.277309 0.201477i
\(659\) −28.6007 + 31.7643i −1.11413 + 1.23736i −0.145362 + 0.989379i \(0.546435\pi\)
−0.968764 + 0.247984i \(0.920232\pi\)
\(660\) −2.63152 0.753122i −0.102432 0.0293152i
\(661\) 3.82599 + 4.24920i 0.148814 + 0.165275i 0.812943 0.582343i \(-0.197864\pi\)
−0.664129 + 0.747618i \(0.731197\pi\)
\(662\) 4.32557 + 0.919428i 0.168118 + 0.0357346i
\(663\) −7.34635 + 10.4388i −0.285309 + 0.405411i
\(664\) 1.84444 0.392049i 0.0715783 0.0152144i
\(665\) 0.198213 0.655079i 0.00768637 0.0254029i
\(666\) 3.78985 0.114331i 0.146854 0.00443025i
\(667\) −23.0187 + 16.7240i −0.891287 + 0.647558i
\(668\) 3.78106 + 6.54900i 0.146294 + 0.253388i
\(669\) 0.755352 0.701032i 0.0292036 0.0271035i
\(670\) 4.79636 2.25345i 0.185300 0.0870584i
\(671\) −2.97802 + 1.32590i −0.114965 + 0.0511858i
\(672\) 11.9096 7.11758i 0.459423 0.274567i
\(673\) 1.93341 0.410959i 0.0745275 0.0158413i −0.170497 0.985358i \(-0.554537\pi\)
0.245025 + 0.969517i \(0.421204\pi\)
\(674\) −1.41815 −0.0546250
\(675\) 7.56245 + 24.8558i 0.291079 + 0.956699i
\(676\) 18.9234 0.727824
\(677\) 10.1510 2.15766i 0.390134 0.0829254i −0.00866862 0.999962i \(-0.502759\pi\)
0.398802 + 0.917037i \(0.369426\pi\)
\(678\) −2.17439 + 1.29949i −0.0835068 + 0.0499065i
\(679\) −39.9175 + 17.7724i −1.53189 + 0.682043i
\(680\) −5.72801 1.09627i −0.219659 0.0420401i
\(681\) 11.7241 10.8810i 0.449270 0.416961i
\(682\) 0.159657 + 0.276534i 0.00611358 + 0.0105890i
\(683\) 19.2932 14.0174i 0.738235 0.536359i −0.153923 0.988083i \(-0.549191\pi\)
0.892158 + 0.451724i \(0.149191\pi\)
\(684\) −0.230499 0.372802i −0.00881333 0.0142544i
\(685\) −10.5186 7.32006i −0.401894 0.279685i
\(686\) −2.05046 + 0.435839i −0.0782870 + 0.0166404i
\(687\) 2.60276 3.69841i 0.0993014 0.141103i
\(688\) 11.6438 + 2.47496i 0.443914 + 0.0943569i
\(689\) −2.33905 2.59778i −0.0891108 0.0989676i
\(690\) −0.0987429 2.78678i −0.00375908 0.106091i
\(691\) −0.688270 + 0.764401i −0.0261830 + 0.0290792i −0.756094 0.654463i \(-0.772895\pi\)
0.729911 + 0.683542i \(0.239561\pi\)
\(692\) 35.4065 25.7243i 1.34595 0.977893i
\(693\) 4.31487 1.05408i 0.163908 0.0400413i
\(694\) 4.67273 3.39494i 0.177374 0.128870i
\(695\) −24.2486 + 28.0579i −0.919802 + 1.06430i
\(696\) 6.42421 + 3.58096i 0.243509 + 0.135736i
\(697\) −17.1568 + 7.63868i −0.649859 + 0.289336i
\(698\) 2.31434 + 2.57033i 0.0875990 + 0.0972886i
\(699\) 4.50193 10.5363i 0.170279 0.398518i
\(700\) 37.8923 + 15.0557i 1.43219 + 0.569052i
\(701\) 14.7743 0.558019 0.279009 0.960288i \(-0.409994\pi\)
0.279009 + 0.960288i \(0.409994\pi\)
\(702\) 0.0713471 + 1.57608i 0.00269282 + 0.0594852i
\(703\) −0.460406 0.334504i −0.0173645 0.0126161i
\(704\) −0.275515 + 2.62135i −0.0103839 + 0.0987958i
\(705\) 42.4718 26.5695i 1.59958 1.00067i
\(706\) 0.338691 + 3.22243i 0.0127468 + 0.121278i
\(707\) −36.2017 + 62.7032i −1.36151 + 2.35820i
\(708\) 12.3947 11.5033i 0.465820 0.432321i
\(709\) −7.87589 + 8.74706i −0.295785 + 0.328503i −0.872659 0.488331i \(-0.837606\pi\)
0.576873 + 0.816834i \(0.304273\pi\)
\(710\) −1.43032 + 4.72709i −0.0536788 + 0.177405i
\(711\) −14.8531 10.1215i −0.557036 0.379586i
\(712\) 1.44664 + 4.45231i 0.0542152 + 0.166857i
\(713\) 15.8786 17.6350i 0.594659 0.660435i
\(714\) 4.44729 1.51952i 0.166436 0.0568668i
\(715\) −0.184455 1.46726i −0.00689824 0.0548723i
\(716\) −28.2494 6.00460i −1.05573 0.224403i
\(717\) 27.3428 + 8.43055i 1.02113 + 0.314845i
\(718\) −0.249761 0.432599i −0.00932099 0.0161444i
\(719\) −37.9326 + 27.5596i −1.41465 + 1.02780i −0.422019 + 0.906587i \(0.638679\pi\)
−0.992626 + 0.121213i \(0.961321\pi\)
\(720\) 22.9644 11.6471i 0.855832 0.434062i
\(721\) 40.0084 + 29.0678i 1.48999 + 1.08254i
\(722\) −0.326525 + 3.10668i −0.0121520 + 0.115619i
\(723\) 2.51536 12.7784i 0.0935473 0.475233i
\(724\) 16.9905 29.4285i 0.631449 1.09370i
\(725\) 4.70803 + 32.1521i 0.174852 + 1.19410i
\(726\) −1.21677 + 2.84772i −0.0451587 + 0.105689i
\(727\) 30.7754 6.54152i 1.14140 0.242611i 0.401843 0.915709i \(-0.368370\pi\)
0.739554 + 0.673097i \(0.235036\pi\)
\(728\) 4.03371 + 2.93066i 0.149499 + 0.108618i
\(729\) −26.8896 + 2.43952i −0.995910 + 0.0903524i
\(730\) 4.94801 0.100649i 0.183134 0.00372518i
\(731\) 11.3091 + 5.03512i 0.418281 + 0.186231i
\(732\) 12.2190 28.5971i 0.451626 1.05698i
\(733\) 4.73859 + 45.0847i 0.175024 + 1.66524i 0.631402 + 0.775455i \(0.282480\pi\)
−0.456378 + 0.889786i \(0.650854\pi\)
\(734\) −1.16846 0.248364i −0.0431286 0.00916727i
\(735\) −38.6719 + 5.45514i −1.42644 + 0.201216i
\(736\) −8.29928 + 1.76407i −0.305916 + 0.0650244i
\(737\) −1.59517 4.90942i −0.0587587 0.180841i
\(738\) −1.09946 + 2.04432i −0.0404719 + 0.0752523i
\(739\) 12.0961 37.2280i 0.444963 1.36945i −0.437562 0.899188i \(-0.644158\pi\)
0.882524 0.470267i \(-0.155842\pi\)
\(740\) 22.1689 25.6515i 0.814946 0.942969i
\(741\) 0.136284 0.193654i 0.00500652 0.00711405i
\(742\) 0.134531 + 1.27998i 0.00493881 + 0.0469896i
\(743\) 24.2958 42.0815i 0.891325 1.54382i 0.0530375 0.998593i \(-0.483110\pi\)
0.838288 0.545228i \(-0.183557\pi\)
\(744\) −5.86182 1.80737i −0.214905 0.0662612i
\(745\) −14.4452 6.08250i −0.529231 0.222846i
\(746\) 1.40499 + 1.02078i 0.0514403 + 0.0373735i
\(747\) −6.84779 + 5.29792i −0.250548 + 0.193841i
\(748\) −0.871772 + 2.68304i −0.0318751 + 0.0981016i
\(749\) −17.5470 30.3923i −0.641154 1.11051i
\(750\) −2.87111 1.37807i −0.104838 0.0503202i
\(751\) 9.62073 16.6636i 0.351066 0.608063i −0.635371 0.772207i \(-0.719153\pi\)
0.986436 + 0.164144i \(0.0524861\pi\)
\(752\) −33.2231 36.8980i −1.21152 1.34553i
\(753\) −28.5663 + 17.0722i −1.04101 + 0.622145i
\(754\) −0.206263 + 1.96246i −0.00751165 + 0.0714686i
\(755\) −8.38982 + 6.36021i −0.305337 + 0.231472i
\(756\) −23.3307 + 35.3720i −0.848528 + 1.28647i
\(757\) −21.2374 −0.771886 −0.385943 0.922523i \(-0.626124\pi\)
−0.385943 + 0.922523i \(0.626124\pi\)
\(758\) −5.29557 2.35774i −0.192344 0.0856370i
\(759\) −2.70539 0.243164i −0.0981994 0.00882629i
\(760\) 0.106262 + 0.0203372i 0.00385453 + 0.000737710i
\(761\) 22.6915 + 25.2015i 0.822566 + 0.913552i 0.997474 0.0710326i \(-0.0226294\pi\)
−0.174908 + 0.984585i \(0.555963\pi\)
\(762\) 0.388638 + 0.838629i 0.0140789 + 0.0303803i
\(763\) −22.3325 + 24.8027i −0.808490 + 0.897919i
\(764\) −0.355085 + 1.09284i −0.0128465 + 0.0395375i
\(765\) 25.8780 6.88234i 0.935619 0.248831i
\(766\)