Properties

Label 162.2.g.b.97.1
Level $162$
Weight $2$
Character 162.97
Analytic conductor $1.294$
Analytic rank $0$
Dimension $90$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(90\)
Relative dimension: \(5\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 97.1
Character \(\chi\) \(=\) 162.97
Dual form 162.2.g.b.157.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.973045 + 0.230616i) q^{2} +(-1.71858 + 0.215573i) q^{3} +(0.893633 + 0.448799i) q^{4} +(-1.74099 + 2.33856i) q^{5} +(-1.72197 - 0.186570i) q^{6} +(3.14295 + 2.06715i) q^{7} +(0.766044 + 0.642788i) q^{8} +(2.90706 - 0.740960i) q^{9} +O(q^{10})\) \(q+(0.973045 + 0.230616i) q^{2} +(-1.71858 + 0.215573i) q^{3} +(0.893633 + 0.448799i) q^{4} +(-1.74099 + 2.33856i) q^{5} +(-1.72197 - 0.186570i) q^{6} +(3.14295 + 2.06715i) q^{7} +(0.766044 + 0.642788i) q^{8} +(2.90706 - 0.740960i) q^{9} +(-2.23337 + 1.87402i) q^{10} +(-2.28467 + 0.267040i) q^{11} +(-1.63253 - 0.578656i) q^{12} +(-1.19996 + 4.00816i) q^{13} +(2.58151 + 2.73625i) q^{14} +(2.48791 - 4.39432i) q^{15} +(0.597159 + 0.802123i) q^{16} +(-0.456248 - 2.58751i) q^{17} +(2.99957 - 0.0505743i) q^{18} +(1.50312 - 8.52463i) q^{19} +(-2.60535 + 1.30846i) q^{20} +(-5.84705 - 2.87504i) q^{21} +(-2.28467 - 0.267040i) q^{22} +(6.27720 - 4.12858i) q^{23} +(-1.45508 - 0.939545i) q^{24} +(-1.00379 - 3.35289i) q^{25} +(-2.09196 + 3.62338i) q^{26} +(-4.83629 + 1.90009i) q^{27} +(1.88091 + 3.25783i) q^{28} +(-1.68597 + 1.78703i) q^{29} +(3.43425 - 3.70212i) q^{30} +(0.165331 + 2.83863i) q^{31} +(0.396080 + 0.918216i) q^{32} +(3.86883 - 0.951444i) q^{33} +(0.152771 - 2.62298i) q^{34} +(-10.3060 + 3.75108i) q^{35} +(2.93038 + 0.642538i) q^{36} +(5.99816 + 2.18315i) q^{37} +(3.42852 - 7.94820i) q^{38} +(1.19819 - 7.14703i) q^{39} +(-2.83688 + 0.672352i) q^{40} +(-4.24317 + 1.00565i) q^{41} +(-5.02641 - 4.14596i) q^{42} +(4.40534 - 10.2127i) q^{43} +(-2.16150 - 0.786723i) q^{44} +(-3.32839 + 8.08833i) q^{45} +(7.06011 - 2.56967i) q^{46} +(-0.0956182 + 1.64170i) q^{47} +(-1.19918 - 1.24978i) q^{48} +(2.83247 + 6.56640i) q^{49} +(-0.203502 - 3.49400i) q^{50} +(1.34190 + 4.34850i) q^{51} +(-2.87118 + 3.04328i) q^{52} +(0.561391 + 0.972358i) q^{53} +(-5.14411 + 0.733543i) q^{54} +(3.35311 - 5.80776i) q^{55} +(1.07890 + 3.60378i) q^{56} +(-0.745560 + 14.9743i) q^{57} +(-2.05264 + 1.35004i) q^{58} +(9.21881 + 1.07752i) q^{59} +(4.19545 - 2.81034i) q^{60} +(-3.19981 + 1.60701i) q^{61} +(-0.493758 + 2.80024i) q^{62} +(10.6684 + 3.68052i) q^{63} +(0.173648 + 0.984808i) q^{64} +(-7.28419 - 9.78436i) q^{65} +(3.98396 - 0.0335834i) q^{66} +(-1.00647 - 1.06680i) q^{67} +(0.753555 - 2.51705i) q^{68} +(-9.89788 + 8.44850i) q^{69} +(-10.8933 + 1.27324i) q^{70} +(-1.46893 + 1.23258i) q^{71} +(2.70321 + 1.30101i) q^{72} +(-0.123017 - 0.103223i) q^{73} +(5.33301 + 3.50757i) q^{74} +(2.44789 + 5.54583i) q^{75} +(5.16909 - 6.94329i) q^{76} +(-7.73262 - 3.88347i) q^{77} +(2.81411 - 6.67806i) q^{78} +(-9.27560 - 2.19836i) q^{79} -2.91546 q^{80} +(7.90196 - 4.30803i) q^{81} -4.36071 q^{82} +(-2.15900 - 0.511693i) q^{83} +(-3.93480 - 5.19338i) q^{84} +(6.84538 + 3.43788i) q^{85} +(6.64181 - 8.92150i) q^{86} +(2.51225 - 3.43460i) q^{87} +(-1.92181 - 1.26399i) q^{88} +(-0.717829 - 0.602330i) q^{89} +(-5.10397 + 7.10273i) q^{90} +(-12.0569 + 10.1169i) q^{91} +(7.46241 - 0.872231i) q^{92} +(-0.896067 - 4.84278i) q^{93} +(-0.471643 + 1.57540i) q^{94} +(17.3184 + 18.3565i) q^{95} +(-0.878639 - 1.49265i) q^{96} +(-3.02994 - 4.06992i) q^{97} +(1.24180 + 7.04262i) q^{98} +(-6.44380 + 2.46915i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 90 q - 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 90 q - 9 q^{6} - 18 q^{13} - 9 q^{18} - 9 q^{20} - 54 q^{21} + 27 q^{23} - 18 q^{25} - 27 q^{26} - 27 q^{27} - 18 q^{28} - 27 q^{29} + 9 q^{30} + 54 q^{31} - 63 q^{33} - 27 q^{35} - 9 q^{36} - 18 q^{38} - 9 q^{41} - 9 q^{42} - 36 q^{43} + 63 q^{45} + 18 q^{46} - 27 q^{47} - 9 q^{48} - 36 q^{51} + 36 q^{52} - 27 q^{53} - 54 q^{55} - 81 q^{57} - 9 q^{58} - 45 q^{59} - 63 q^{63} + 9 q^{65} + 36 q^{66} + 81 q^{67} + 36 q^{68} + 18 q^{69} - 72 q^{70} + 72 q^{71} + 18 q^{72} - 36 q^{73} + 45 q^{74} + 216 q^{75} - 18 q^{76} + 144 q^{77} + 54 q^{78} - 99 q^{79} + 18 q^{80} + 144 q^{81} + 72 q^{82} + 45 q^{83} + 18 q^{84} - 117 q^{85} + 72 q^{86} + 81 q^{87} - 18 q^{88} + 45 q^{89} + 162 q^{90} - 63 q^{91} + 36 q^{92} + 45 q^{93} - 72 q^{94} + 45 q^{95} + 18 q^{96} + 117 q^{97} + 36 q^{98} - 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{2}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.973045 + 0.230616i 0.688047 + 0.163070i
\(3\) −1.71858 + 0.215573i −0.992224 + 0.124461i
\(4\) 0.893633 + 0.448799i 0.446816 + 0.224400i
\(5\) −1.74099 + 2.33856i −0.778596 + 1.04584i 0.218944 + 0.975737i \(0.429739\pi\)
−0.997540 + 0.0700985i \(0.977669\pi\)
\(6\) −1.72197 0.186570i −0.702993 0.0761670i
\(7\) 3.14295 + 2.06715i 1.18792 + 0.781310i 0.980419 0.196924i \(-0.0630952\pi\)
0.207505 + 0.978234i \(0.433466\pi\)
\(8\) 0.766044 + 0.642788i 0.270838 + 0.227260i
\(9\) 2.90706 0.740960i 0.969019 0.246987i
\(10\) −2.23337 + 1.87402i −0.706255 + 0.592618i
\(11\) −2.28467 + 0.267040i −0.688854 + 0.0805155i −0.453316 0.891350i \(-0.649759\pi\)
−0.235538 + 0.971865i \(0.575685\pi\)
\(12\) −1.63253 0.578656i −0.471271 0.167043i
\(13\) −1.19996 + 4.00816i −0.332810 + 1.11166i 0.613849 + 0.789424i \(0.289621\pi\)
−0.946658 + 0.322239i \(0.895565\pi\)
\(14\) 2.58151 + 2.73625i 0.689939 + 0.731292i
\(15\) 2.48791 4.39432i 0.642376 1.13461i
\(16\) 0.597159 + 0.802123i 0.149290 + 0.200531i
\(17\) −0.456248 2.58751i −0.110656 0.627564i −0.988809 0.149184i \(-0.952335\pi\)
0.878153 0.478380i \(-0.158776\pi\)
\(18\) 2.99957 0.0505743i 0.707006 0.0119205i
\(19\) 1.50312 8.52463i 0.344840 1.95568i 0.0554968 0.998459i \(-0.482326\pi\)
0.289343 0.957225i \(-0.406563\pi\)
\(20\) −2.60535 + 1.30846i −0.582575 + 0.292580i
\(21\) −5.84705 2.87504i −1.27593 0.627384i
\(22\) −2.28467 0.267040i −0.487094 0.0569331i
\(23\) 6.27720 4.12858i 1.30889 0.860868i 0.312849 0.949803i \(-0.398717\pi\)
0.996037 + 0.0889345i \(0.0283462\pi\)
\(24\) −1.45508 0.939545i −0.297017 0.191784i
\(25\) −1.00379 3.35289i −0.200758 0.670578i
\(26\) −2.09196 + 3.62338i −0.410268 + 0.710604i
\(27\) −4.83629 + 1.90009i −0.930744 + 0.365672i
\(28\) 1.88091 + 3.25783i 0.355458 + 0.615672i
\(29\) −1.68597 + 1.78703i −0.313077 + 0.331842i −0.864735 0.502228i \(-0.832514\pi\)
0.551658 + 0.834070i \(0.313995\pi\)
\(30\) 3.43425 3.70212i 0.627005 0.675912i
\(31\) 0.165331 + 2.83863i 0.0296944 + 0.509832i 0.980061 + 0.198699i \(0.0636716\pi\)
−0.950366 + 0.311133i \(0.899291\pi\)
\(32\) 0.396080 + 0.918216i 0.0700177 + 0.162319i
\(33\) 3.86883 0.951444i 0.673477 0.165625i
\(34\) 0.152771 2.62298i 0.0262001 0.449838i
\(35\) −10.3060 + 3.75108i −1.74203 + 0.634049i
\(36\) 2.93038 + 0.642538i 0.488397 + 0.107090i
\(37\) 5.99816 + 2.18315i 0.986091 + 0.358908i 0.784205 0.620501i \(-0.213071\pi\)
0.201886 + 0.979409i \(0.435293\pi\)
\(38\) 3.42852 7.94820i 0.556179 1.28937i
\(39\) 1.19819 7.14703i 0.191863 1.14444i
\(40\) −2.83688 + 0.672352i −0.448549 + 0.106308i
\(41\) −4.24317 + 1.00565i −0.662672 + 0.157056i −0.548170 0.836367i \(-0.684675\pi\)
−0.114502 + 0.993423i \(0.536527\pi\)
\(42\) −5.02641 4.14596i −0.775592 0.639736i
\(43\) 4.40534 10.2127i 0.671808 1.55743i −0.150641 0.988588i \(-0.548134\pi\)
0.822450 0.568838i \(-0.192607\pi\)
\(44\) −2.16150 0.786723i −0.325859 0.118603i
\(45\) −3.32839 + 8.08833i −0.496167 + 1.20574i
\(46\) 7.06011 2.56967i 1.04096 0.378877i
\(47\) −0.0956182 + 1.64170i −0.0139473 + 0.239467i 0.984128 + 0.177458i \(0.0567875\pi\)
−0.998076 + 0.0620082i \(0.980249\pi\)
\(48\) −1.19918 1.24978i −0.173087 0.180391i
\(49\) 2.83247 + 6.56640i 0.404639 + 0.938058i
\(50\) −0.203502 3.49400i −0.0287796 0.494126i
\(51\) 1.34190 + 4.34850i 0.187903 + 0.608912i
\(52\) −2.87118 + 3.04328i −0.398161 + 0.422026i
\(53\) 0.561391 + 0.972358i 0.0771130 + 0.133564i 0.902003 0.431729i \(-0.142096\pi\)
−0.824890 + 0.565293i \(0.808763\pi\)
\(54\) −5.14411 + 0.733543i −0.700025 + 0.0998226i
\(55\) 3.35311 5.80776i 0.452133 0.783118i
\(56\) 1.07890 + 3.60378i 0.144174 + 0.481575i
\(57\) −0.745560 + 14.9743i −0.0987519 + 1.98340i
\(58\) −2.05264 + 1.35004i −0.269525 + 0.177270i
\(59\) 9.21881 + 1.07752i 1.20019 + 0.140282i 0.692602 0.721320i \(-0.256464\pi\)
0.507585 + 0.861602i \(0.330538\pi\)
\(60\) 4.19545 2.81034i 0.541630 0.362813i
\(61\) −3.19981 + 1.60701i −0.409694 + 0.205756i −0.641696 0.766959i \(-0.721769\pi\)
0.232002 + 0.972715i \(0.425473\pi\)
\(62\) −0.493758 + 2.80024i −0.0627073 + 0.355631i
\(63\) 10.6684 + 3.68052i 1.34409 + 0.463702i
\(64\) 0.173648 + 0.984808i 0.0217060 + 0.123101i
\(65\) −7.28419 9.78436i −0.903492 1.21360i
\(66\) 3.98396 0.0335834i 0.490392 0.00413384i
\(67\) −1.00647 1.06680i −0.122960 0.130330i 0.662969 0.748647i \(-0.269296\pi\)
−0.785929 + 0.618317i \(0.787815\pi\)
\(68\) 0.753555 2.51705i 0.0913820 0.305237i
\(69\) −9.89788 + 8.44850i −1.19156 + 1.01708i
\(70\) −10.8933 + 1.27324i −1.30200 + 0.152181i
\(71\) −1.46893 + 1.23258i −0.174330 + 0.146280i −0.725778 0.687929i \(-0.758520\pi\)
0.551448 + 0.834209i \(0.314076\pi\)
\(72\) 2.70321 + 1.30101i 0.318577 + 0.153326i
\(73\) −0.123017 0.103223i −0.0143980 0.0120814i 0.635560 0.772051i \(-0.280769\pi\)
−0.649958 + 0.759970i \(0.725214\pi\)
\(74\) 5.33301 + 3.50757i 0.619950 + 0.407747i
\(75\) 2.44789 + 5.54583i 0.282658 + 0.640377i
\(76\) 5.16909 6.94329i 0.592935 0.796450i
\(77\) −7.73262 3.88347i −0.881214 0.442562i
\(78\) 2.81411 6.67806i 0.318635 0.756141i
\(79\) −9.27560 2.19836i −1.04359 0.247334i −0.327139 0.944976i \(-0.606085\pi\)
−0.716447 + 0.697642i \(0.754233\pi\)
\(80\) −2.91546 −0.325959
\(81\) 7.90196 4.30803i 0.877995 0.478670i
\(82\) −4.36071 −0.481560
\(83\) −2.15900 0.511693i −0.236981 0.0561656i 0.110409 0.993886i \(-0.464784\pi\)
−0.347390 + 0.937721i \(0.612932\pi\)
\(84\) −3.93480 5.19338i −0.429322 0.566644i
\(85\) 6.84538 + 3.43788i 0.742486 + 0.372890i
\(86\) 6.64181 8.92150i 0.716205 0.962030i
\(87\) 2.51225 3.43460i 0.269341 0.368228i
\(88\) −1.92181 1.26399i −0.204866 0.134742i
\(89\) −0.717829 0.602330i −0.0760897 0.0638469i 0.603950 0.797023i \(-0.293593\pi\)
−0.680039 + 0.733176i \(0.738037\pi\)
\(90\) −5.10397 + 7.10273i −0.538005 + 0.748694i
\(91\) −12.0569 + 10.1169i −1.26391 + 1.06054i
\(92\) 7.46241 0.872231i 0.778010 0.0909364i
\(93\) −0.896067 4.84278i −0.0929178 0.502172i
\(94\) −0.471643 + 1.57540i −0.0486463 + 0.162490i
\(95\) 17.3184 + 18.3565i 1.77683 + 1.88333i
\(96\) −0.878639 1.49265i −0.0896757 0.152343i
\(97\) −3.02994 4.06992i −0.307644 0.413237i 0.621233 0.783626i \(-0.286632\pi\)
−0.928877 + 0.370388i \(0.879225\pi\)
\(98\) 1.24180 + 7.04262i 0.125441 + 0.711412i
\(99\) −6.44380 + 2.46915i −0.647627 + 0.248159i
\(100\) 0.607755 3.44675i 0.0607755 0.344675i
\(101\) 4.62840 2.32447i 0.460543 0.231293i −0.203372 0.979102i \(-0.565190\pi\)
0.663915 + 0.747808i \(0.268894\pi\)
\(102\) 0.302894 + 4.54075i 0.0299910 + 0.449601i
\(103\) −3.03292 0.354498i −0.298843 0.0349297i −0.0346496 0.999400i \(-0.511032\pi\)
−0.264193 + 0.964470i \(0.585106\pi\)
\(104\) −3.49562 + 2.29910i −0.342774 + 0.225446i
\(105\) 16.9031 8.66825i 1.64958 0.845934i
\(106\) 0.322018 + 1.07561i 0.0312771 + 0.104473i
\(107\) 5.80874 10.0610i 0.561552 0.972637i −0.435809 0.900039i \(-0.643538\pi\)
0.997361 0.0725980i \(-0.0231290\pi\)
\(108\) −5.17462 0.472544i −0.497928 0.0454706i
\(109\) −1.27249 2.20401i −0.121882 0.211106i 0.798628 0.601825i \(-0.205560\pi\)
−0.920510 + 0.390719i \(0.872226\pi\)
\(110\) 4.60209 4.87793i 0.438792 0.465092i
\(111\) −10.7790 2.45889i −1.02309 0.233387i
\(112\) 0.218730 + 3.75545i 0.0206681 + 0.354857i
\(113\) 5.35665 + 12.4181i 0.503911 + 1.16820i 0.960440 + 0.278489i \(0.0898335\pi\)
−0.456528 + 0.889709i \(0.650907\pi\)
\(114\) −4.17878 + 14.3987i −0.391379 + 1.34857i
\(115\) −1.27363 + 21.8674i −0.118767 + 2.03915i
\(116\) −2.30866 + 0.840282i −0.214353 + 0.0780182i
\(117\) −0.518476 + 12.5411i −0.0479331 + 1.15942i
\(118\) 8.72183 + 3.17448i 0.802909 + 0.292235i
\(119\) 3.91481 9.07556i 0.358870 0.831955i
\(120\) 4.73047 1.76705i 0.431831 0.161309i
\(121\) −5.55508 + 1.31658i −0.505007 + 0.119689i
\(122\) −3.48416 + 0.825762i −0.315441 + 0.0747610i
\(123\) 7.07545 2.64301i 0.637972 0.238312i
\(124\) −1.12623 + 2.61089i −0.101138 + 0.234465i
\(125\) −4.10967 1.49580i −0.367580 0.133788i
\(126\) 9.53206 + 6.04162i 0.849183 + 0.538230i
\(127\) −9.84592 + 3.58362i −0.873684 + 0.317995i −0.739658 0.672983i \(-0.765013\pi\)
−0.134026 + 0.990978i \(0.542790\pi\)
\(128\) −0.0581448 + 0.998308i −0.00513933 + 0.0882388i
\(129\) −5.36936 + 18.5011i −0.472745 + 1.62893i
\(130\) −4.83141 11.2005i −0.423743 0.982346i
\(131\) −0.00963024 0.165345i −0.000841398 0.0144462i 0.997861 0.0653664i \(-0.0208216\pi\)
−0.998703 + 0.0509202i \(0.983785\pi\)
\(132\) 3.88432 + 0.886087i 0.338087 + 0.0771240i
\(133\) 22.3459 23.6853i 1.93764 2.05378i
\(134\) −0.733321 1.27015i −0.0633493 0.109724i
\(135\) 3.97648 14.6180i 0.342241 1.25812i
\(136\) 1.31371 2.27542i 0.112650 0.195116i
\(137\) −5.71490 19.0891i −0.488257 1.63089i −0.746912 0.664922i \(-0.768465\pi\)
0.258655 0.965970i \(-0.416721\pi\)
\(138\) −11.5794 + 5.93816i −0.985707 + 0.505490i
\(139\) −18.1963 + 11.9679i −1.54339 + 1.01510i −0.561095 + 0.827751i \(0.689620\pi\)
−0.982293 + 0.187351i \(0.940010\pi\)
\(140\) −10.8933 1.27324i −0.920650 0.107609i
\(141\) −0.189579 2.84201i −0.0159654 0.239341i
\(142\) −1.71359 + 0.860596i −0.143801 + 0.0722196i
\(143\) 1.67118 9.47776i 0.139751 0.792570i
\(144\) 2.33032 + 1.88935i 0.194193 + 0.157446i
\(145\) −1.24380 7.05395i −0.103292 0.585799i
\(146\) −0.0958960 0.128811i −0.00793641 0.0106604i
\(147\) −6.28337 10.6743i −0.518244 0.880402i
\(148\) 4.38035 + 4.64290i 0.360063 + 0.381644i
\(149\) 2.52073 8.41984i 0.206507 0.689780i −0.790500 0.612462i \(-0.790179\pi\)
0.997006 0.0773178i \(-0.0246356\pi\)
\(150\) 1.10295 + 5.96086i 0.0900553 + 0.486702i
\(151\) −12.7453 + 1.48971i −1.03719 + 0.121231i −0.617609 0.786485i \(-0.711899\pi\)
−0.419585 + 0.907716i \(0.637824\pi\)
\(152\) 6.63099 5.56406i 0.537844 0.451305i
\(153\) −3.24358 7.18398i −0.262228 0.580791i
\(154\) −6.62860 5.56206i −0.534148 0.448203i
\(155\) −6.92614 4.55539i −0.556321 0.365898i
\(156\) 4.27832 5.84907i 0.342540 0.468301i
\(157\) 2.79034 3.74808i 0.222693 0.299129i −0.676709 0.736250i \(-0.736595\pi\)
0.899403 + 0.437121i \(0.144002\pi\)
\(158\) −8.51860 4.27820i −0.677703 0.340355i
\(159\) −1.17441 1.55006i −0.0931369 0.122928i
\(160\) −2.83688 0.672352i −0.224275 0.0531541i
\(161\) 28.2633 2.22746
\(162\) 8.68246 2.36959i 0.682158 0.186172i
\(163\) 14.0056 1.09700 0.548502 0.836149i \(-0.315198\pi\)
0.548502 + 0.836149i \(0.315198\pi\)
\(164\) −4.24317 1.00565i −0.331336 0.0785281i
\(165\) −4.51060 + 10.7040i −0.351150 + 0.833302i
\(166\) −1.98280 0.995800i −0.153895 0.0772891i
\(167\) 6.24495 8.38842i 0.483248 0.649115i −0.491904 0.870649i \(-0.663699\pi\)
0.975153 + 0.221534i \(0.0711064\pi\)
\(168\) −2.63106 5.96081i −0.202991 0.459887i
\(169\) −3.76406 2.47566i −0.289543 0.190435i
\(170\) 5.86803 + 4.92386i 0.450057 + 0.377643i
\(171\) −1.94675 25.8953i −0.148872 1.98027i
\(172\) 8.52022 7.14931i 0.649661 0.545130i
\(173\) 13.4690 1.57431i 1.02403 0.119692i 0.412538 0.910941i \(-0.364643\pi\)
0.611495 + 0.791248i \(0.290568\pi\)
\(174\) 3.23661 2.76266i 0.245366 0.209437i
\(175\) 3.77607 12.6130i 0.285444 0.953449i
\(176\) −1.57851 1.67312i −0.118985 0.126116i
\(177\) −16.0756 + 0.135512i −1.20831 + 0.0101857i
\(178\) −0.559573 0.751637i −0.0419418 0.0563376i
\(179\) 0.755656 + 4.28554i 0.0564804 + 0.320316i 0.999938 0.0111784i \(-0.00355826\pi\)
−0.943457 + 0.331495i \(0.892447\pi\)
\(180\) −6.60439 + 5.73422i −0.492262 + 0.427404i
\(181\) 0.311609 1.76722i 0.0231617 0.131357i −0.971034 0.238940i \(-0.923200\pi\)
0.994196 + 0.107583i \(0.0343112\pi\)
\(182\) −14.0650 + 7.06372i −1.04257 + 0.523598i
\(183\) 5.15272 3.45157i 0.380900 0.255147i
\(184\) 7.46241 + 0.872231i 0.550136 + 0.0643017i
\(185\) −15.5482 + 10.2262i −1.14313 + 0.751845i
\(186\) 0.244908 4.91888i 0.0179575 0.360670i
\(187\) 1.73335 + 5.78978i 0.126755 + 0.423391i
\(188\) −0.822242 + 1.42416i −0.0599681 + 0.103868i
\(189\) −19.1280 4.02546i −1.39136 0.292809i
\(190\) 12.6183 + 21.8556i 0.915429 + 1.58557i
\(191\) −17.2650 + 18.2998i −1.24925 + 1.32413i −0.323388 + 0.946266i \(0.604822\pi\)
−0.925862 + 0.377862i \(0.876659\pi\)
\(192\) −0.510727 1.65504i −0.0368585 0.119442i
\(193\) 0.764997 + 13.1345i 0.0550657 + 0.945441i 0.906825 + 0.421507i \(0.138499\pi\)
−0.851759 + 0.523933i \(0.824464\pi\)
\(194\) −2.00968 4.65896i −0.144287 0.334494i
\(195\) 14.6277 + 15.2450i 1.04751 + 1.09171i
\(196\) −0.415809 + 7.13916i −0.0297006 + 0.509940i
\(197\) −19.0986 + 6.95133i −1.36072 + 0.495262i −0.916277 0.400545i \(-0.868821\pi\)
−0.444443 + 0.895807i \(0.646598\pi\)
\(198\) −6.83954 + 0.916551i −0.486065 + 0.0651365i
\(199\) −2.74737 0.999961i −0.194756 0.0708853i 0.242801 0.970076i \(-0.421934\pi\)
−0.437557 + 0.899191i \(0.644156\pi\)
\(200\) 1.38625 3.21368i 0.0980226 0.227242i
\(201\) 1.95968 + 1.61641i 0.138225 + 0.114013i
\(202\) 5.03970 1.19443i 0.354592 0.0840399i
\(203\) −8.99298 + 2.13138i −0.631184 + 0.149593i
\(204\) −0.752439 + 4.48820i −0.0526813 + 0.314237i
\(205\) 5.03556 11.6737i 0.351699 0.815329i
\(206\) −2.86942 1.04438i −0.199922 0.0727656i
\(207\) 15.1891 16.6532i 1.05571 1.15748i
\(208\) −3.93160 + 1.43099i −0.272608 + 0.0992211i
\(209\) −1.15773 + 19.8774i −0.0800815 + 1.37495i
\(210\) 18.4465 4.53647i 1.27293 0.313046i
\(211\) −10.2424 23.7444i −0.705113 1.63463i −0.771021 0.636809i \(-0.780254\pi\)
0.0659088 0.997826i \(-0.479005\pi\)
\(212\) 0.0652840 + 1.12088i 0.00448372 + 0.0769826i
\(213\) 2.25877 2.43495i 0.154768 0.166840i
\(214\) 7.97240 8.45025i 0.544982 0.577647i
\(215\) 16.2134 + 28.0824i 1.10575 + 1.91521i
\(216\) −4.92616 1.65316i −0.335183 0.112483i
\(217\) −5.34824 + 9.26343i −0.363062 + 0.628843i
\(218\) −0.729908 2.43806i −0.0494356 0.165126i
\(219\) 0.233667 + 0.150879i 0.0157897 + 0.0101954i
\(220\) 5.60296 3.68513i 0.377752 0.248451i
\(221\) 10.9186 + 1.27621i 0.734467 + 0.0858469i
\(222\) −9.92136 4.87841i −0.665878 0.327417i
\(223\) 5.44386 2.73401i 0.364548 0.183083i −0.257090 0.966387i \(-0.582764\pi\)
0.621638 + 0.783305i \(0.286467\pi\)
\(224\) −0.653233 + 3.70467i −0.0436459 + 0.247528i
\(225\) −5.40243 9.00327i −0.360162 0.600218i
\(226\) 2.34845 + 13.3187i 0.156216 + 0.885947i
\(227\) 15.7094 + 21.1014i 1.04267 + 1.40055i 0.912508 + 0.409059i \(0.134143\pi\)
0.130165 + 0.991492i \(0.458449\pi\)
\(228\) −7.38672 + 13.0469i −0.489197 + 0.864054i
\(229\) 0.107641 + 0.114093i 0.00711310 + 0.00753945i 0.730920 0.682463i \(-0.239091\pi\)
−0.723807 + 0.690002i \(0.757610\pi\)
\(230\) −6.28228 + 20.9843i −0.414241 + 1.38366i
\(231\) 14.1263 + 5.00712i 0.929444 + 0.329444i
\(232\) −2.44021 + 0.285219i −0.160208 + 0.0187256i
\(233\) 8.65323 7.26092i 0.566892 0.475679i −0.313721 0.949515i \(-0.601576\pi\)
0.880613 + 0.473836i \(0.157131\pi\)
\(234\) −3.39667 + 12.0834i −0.222047 + 0.789920i
\(235\) −3.67275 3.08180i −0.239584 0.201034i
\(236\) 7.75464 + 5.10031i 0.504784 + 0.332002i
\(237\) 16.4148 + 1.77849i 1.06626 + 0.115525i
\(238\) 5.90226 7.92811i 0.382587 0.513903i
\(239\) −21.6463 10.8712i −1.40019 0.703200i −0.421169 0.906982i \(-0.638380\pi\)
−0.979016 + 0.203782i \(0.934676\pi\)
\(240\) 5.01047 0.628495i 0.323424 0.0405692i
\(241\) 17.5713 + 4.16447i 1.13186 + 0.268257i 0.753531 0.657413i \(-0.228349\pi\)
0.378334 + 0.925669i \(0.376497\pi\)
\(242\) −5.70897 −0.366986
\(243\) −12.6515 + 9.10715i −0.811592 + 0.584224i
\(244\) −3.58068 −0.229230
\(245\) −20.2872 4.80816i −1.29610 0.307182i
\(246\) 7.49425 0.940052i 0.477816 0.0599355i
\(247\) 32.3644 + 16.2540i 2.05929 + 1.03422i
\(248\) −1.69798 + 2.28079i −0.107822 + 0.144830i
\(249\) 3.82073 + 0.413964i 0.242129 + 0.0262339i
\(250\) −3.65394 2.40323i −0.231095 0.151994i
\(251\) −3.12459 2.62184i −0.197222 0.165489i 0.538828 0.842416i \(-0.318867\pi\)
−0.736051 + 0.676926i \(0.763312\pi\)
\(252\) 7.88183 + 8.07701i 0.496508 + 0.508804i
\(253\) −13.2388 + 11.1087i −0.832319 + 0.698399i
\(254\) −10.4070 + 1.21640i −0.652991 + 0.0763237i
\(255\) −12.5055 4.43260i −0.783123 0.277580i
\(256\) −0.286803 + 0.957990i −0.0179252 + 0.0598743i
\(257\) −13.2735 14.0691i −0.827980 0.877607i 0.166117 0.986106i \(-0.446877\pi\)
−0.994097 + 0.108499i \(0.965396\pi\)
\(258\) −9.49127 + 16.7641i −0.590901 + 1.04369i
\(259\) 14.3390 + 19.2606i 0.890983 + 1.19680i
\(260\) −2.11817 12.0128i −0.131364 0.745000i
\(261\) −3.57710 + 6.44423i −0.221417 + 0.398888i
\(262\) 0.0287605 0.163109i 0.00177683 0.0100769i
\(263\) 13.6259 6.84318i 0.840209 0.421969i 0.0239904 0.999712i \(-0.492363\pi\)
0.816218 + 0.577743i \(0.196067\pi\)
\(264\) 3.57527 + 1.75799i 0.220043 + 0.108197i
\(265\) −3.25130 0.380022i −0.199726 0.0233446i
\(266\) 27.2058 17.8935i 1.66810 1.09712i
\(267\) 1.36350 + 0.880410i 0.0834446 + 0.0538802i
\(268\) −0.420637 1.40503i −0.0256945 0.0858257i
\(269\) 9.42374 16.3224i 0.574576 0.995194i −0.421512 0.906823i \(-0.638500\pi\)
0.996088 0.0883713i \(-0.0281662\pi\)
\(270\) 7.24043 13.3069i 0.440639 0.809833i
\(271\) −5.56282 9.63509i −0.337917 0.585290i 0.646123 0.763233i \(-0.276389\pi\)
−0.984041 + 0.177943i \(0.943056\pi\)
\(272\) 1.80305 1.91112i 0.109326 0.115879i
\(273\) 18.5398 19.9859i 1.12208 1.20960i
\(274\) −1.15861 19.8925i −0.0699940 1.20175i
\(275\) 3.18868 + 7.39220i 0.192285 + 0.445766i
\(276\) −12.6368 + 3.10770i −0.760643 + 0.187061i
\(277\) −1.51610 + 26.0305i −0.0910938 + 1.56402i 0.575001 + 0.818153i \(0.305002\pi\)
−0.666095 + 0.745867i \(0.732035\pi\)
\(278\) −20.4658 + 7.44893i −1.22746 + 0.446757i
\(279\) 2.58394 + 8.12954i 0.154696 + 0.486703i
\(280\) −10.3060 3.75108i −0.615902 0.224170i
\(281\) −6.70946 + 15.5543i −0.400253 + 0.927890i 0.592260 + 0.805747i \(0.298236\pi\)
−0.992512 + 0.122143i \(0.961023\pi\)
\(282\) 0.470945 2.80913i 0.0280443 0.167281i
\(283\) −16.6679 + 3.95036i −0.990802 + 0.234824i −0.693890 0.720081i \(-0.744105\pi\)
−0.296912 + 0.954905i \(0.595957\pi\)
\(284\) −1.86587 + 0.442218i −0.110719 + 0.0262408i
\(285\) −33.7203 27.8137i −1.99742 1.64754i
\(286\) 3.81186 8.83688i 0.225400 0.522536i
\(287\) −15.4149 5.61057i −0.909913 0.331181i
\(288\) 1.83179 + 2.37583i 0.107939 + 0.139997i
\(289\) 9.48772 3.45325i 0.558101 0.203132i
\(290\) 0.416478 7.15065i 0.0244564 0.419901i
\(291\) 6.08457 + 6.34132i 0.356684 + 0.371735i
\(292\) −0.0636053 0.147454i −0.00372222 0.00862907i
\(293\) 0.166826 + 2.86429i 0.00974608 + 0.167334i 0.999669 + 0.0257266i \(0.00818993\pi\)
−0.989923 + 0.141607i \(0.954773\pi\)
\(294\) −3.65234 11.8356i −0.213009 0.690268i
\(295\) −18.5698 + 19.6828i −1.08117 + 1.14598i
\(296\) 3.19155 + 5.52793i 0.185505 + 0.321305i
\(297\) 10.5419 5.63255i 0.611705 0.326834i
\(298\) 4.39454 7.61156i 0.254569 0.440926i
\(299\) 9.01558 + 30.1141i 0.521385 + 1.74155i
\(300\) −0.301451 + 6.05454i −0.0174043 + 0.349559i
\(301\) 34.9570 22.9916i 2.01489 1.32521i
\(302\) −12.7453 1.48971i −0.733407 0.0857230i
\(303\) −7.45320 + 4.99255i −0.428175 + 0.286815i
\(304\) 7.73541 3.88487i 0.443656 0.222812i
\(305\) 1.81277 10.2807i 0.103799 0.588674i
\(306\) −1.49941 7.73836i −0.0857157 0.442373i
\(307\) 3.45879 + 19.6157i 0.197403 + 1.11953i 0.908954 + 0.416896i \(0.136882\pi\)
−0.711551 + 0.702634i \(0.752007\pi\)
\(308\) −5.16723 6.94079i −0.294430 0.395488i
\(309\) 5.28875 0.0445823i 0.300866 0.00253620i
\(310\) −5.68890 6.02988i −0.323108 0.342474i
\(311\) 2.62713 8.77522i 0.148971 0.497597i −0.850633 0.525761i \(-0.823781\pi\)
0.999603 + 0.0281637i \(0.00896596\pi\)
\(312\) 5.51189 4.70476i 0.312049 0.266355i
\(313\) −9.36704 + 1.09485i −0.529456 + 0.0618846i −0.376622 0.926367i \(-0.622914\pi\)
−0.152835 + 0.988252i \(0.548840\pi\)
\(314\) 3.57949 3.00355i 0.202002 0.169500i
\(315\) −27.1808 + 18.5410i −1.53146 + 1.04466i
\(316\) −7.30236 6.12740i −0.410790 0.344693i
\(317\) 14.1723 + 9.32125i 0.795994 + 0.523534i 0.881152 0.472834i \(-0.156769\pi\)
−0.0851574 + 0.996368i \(0.527139\pi\)
\(318\) −0.785288 1.77911i −0.0440367 0.0997678i
\(319\) 3.37469 4.53299i 0.188946 0.253799i
\(320\) −2.60535 1.30846i −0.145644 0.0731450i
\(321\) −7.81392 + 18.5429i −0.436130 + 1.03497i
\(322\) 27.5015 + 6.51797i 1.53260 + 0.363232i
\(323\) −22.7434 −1.26548
\(324\) 8.99488 0.303403i 0.499716 0.0168557i
\(325\) 14.6434 0.812270
\(326\) 13.6281 + 3.22992i 0.754790 + 0.178889i
\(327\) 2.66200 + 3.51347i 0.147209 + 0.194295i
\(328\) −3.89688 1.95708i −0.215169 0.108062i
\(329\) −3.69417 + 4.96213i −0.203666 + 0.273571i
\(330\) −6.85752 + 9.37521i −0.377494 + 0.516088i
\(331\) −8.12667 5.34499i −0.446682 0.293787i 0.306170 0.951977i \(-0.400952\pi\)
−0.752852 + 0.658189i \(0.771323\pi\)
\(332\) −1.69971 1.42622i −0.0932835 0.0782742i
\(333\) 19.0546 + 1.90215i 1.04419 + 0.104237i
\(334\) 8.01111 6.72212i 0.438349 0.367818i
\(335\) 4.24703 0.496406i 0.232040 0.0271216i
\(336\) −1.18548 6.40690i −0.0646732 0.349525i
\(337\) −4.97107 + 16.6045i −0.270792 + 0.904507i 0.709122 + 0.705086i \(0.249091\pi\)
−0.979914 + 0.199421i \(0.936094\pi\)
\(338\) −3.09167 3.27698i −0.168165 0.178244i
\(339\) −11.8829 20.1868i −0.645388 1.09640i
\(340\) 4.57434 + 6.14440i 0.248078 + 0.333227i
\(341\) −1.13575 6.44118i −0.0615045 0.348809i
\(342\) 4.07760 25.6463i 0.220491 1.38679i
\(343\) −0.0988085 + 0.560371i −0.00533516 + 0.0302572i
\(344\) 9.93930 4.99171i 0.535891 0.269135i
\(345\) −2.52519 37.8556i −0.135951 2.03808i
\(346\) 13.4690 + 1.57431i 0.724100 + 0.0846352i
\(347\) −19.8165 + 13.0335i −1.06381 + 0.699676i −0.955664 0.294459i \(-0.904860\pi\)
−0.108142 + 0.994135i \(0.534490\pi\)
\(348\) 3.78648 1.94178i 0.202976 0.104090i
\(349\) −0.643481 2.14938i −0.0344448 0.115054i 0.939038 0.343812i \(-0.111718\pi\)
−0.973483 + 0.228759i \(0.926533\pi\)
\(350\) 6.58303 11.4021i 0.351878 0.609470i
\(351\) −1.81247 21.6646i −0.0967425 1.15637i
\(352\) −1.15011 1.99205i −0.0613012 0.106177i
\(353\) 9.54050 10.1123i 0.507790 0.538225i −0.421865 0.906659i \(-0.638624\pi\)
0.929654 + 0.368433i \(0.120106\pi\)
\(354\) −15.6735 3.57543i −0.833038 0.190032i
\(355\) −0.325062 5.58110i −0.0172525 0.296214i
\(356\) −0.371150 0.860423i −0.0196709 0.0456023i
\(357\) −4.77149 + 16.4410i −0.252534 + 0.870152i
\(358\) −0.253026 + 4.34429i −0.0133728 + 0.229603i
\(359\) 19.2529 7.00747i 1.01613 0.369840i 0.220344 0.975422i \(-0.429282\pi\)
0.795783 + 0.605582i \(0.207060\pi\)
\(360\) −7.74877 + 4.05658i −0.408396 + 0.213800i
\(361\) −52.5558 19.1287i −2.76609 1.00678i
\(362\) 0.710760 1.64773i 0.0373567 0.0866026i
\(363\) 9.26305 3.46017i 0.486184 0.181612i
\(364\) −15.3149 + 3.62970i −0.802719 + 0.190248i
\(365\) 0.455566 0.107971i 0.0238454 0.00565146i
\(366\) 5.80981 2.17023i 0.303684 0.113440i
\(367\) 9.04356 20.9653i 0.472070 1.09438i −0.501327 0.865258i \(-0.667155\pi\)
0.973397 0.229124i \(-0.0735860\pi\)
\(368\) 7.06011 + 2.56967i 0.368034 + 0.133953i
\(369\) −11.5900 + 6.06750i −0.603351 + 0.315862i
\(370\) −17.4874 + 6.36490i −0.909127 + 0.330895i
\(371\) −0.245586 + 4.21656i −0.0127502 + 0.218913i
\(372\) 1.37268 4.72982i 0.0711701 0.245230i
\(373\) 1.55098 + 3.59558i 0.0803068 + 0.186172i 0.953639 0.300953i \(-0.0973048\pi\)
−0.873332 + 0.487125i \(0.838046\pi\)
\(374\) 0.351409 + 6.03345i 0.0181709 + 0.311982i
\(375\) 7.38527 + 1.68472i 0.381374 + 0.0869985i
\(376\) −1.12851 + 1.19615i −0.0581986 + 0.0616869i
\(377\) −5.13958 8.90201i −0.264702 0.458477i
\(378\) −17.6840 8.32817i −0.909569 0.428355i
\(379\) −2.67609 + 4.63513i −0.137462 + 0.238091i −0.926535 0.376208i \(-0.877228\pi\)
0.789073 + 0.614299i \(0.210561\pi\)
\(380\) 7.23795 + 24.1764i 0.371299 + 1.24023i
\(381\) 16.1485 8.28126i 0.827312 0.424262i
\(382\) −21.0198 + 13.8250i −1.07547 + 0.707347i
\(383\) 22.1513 + 2.58911i 1.13188 + 0.132297i 0.661342 0.750084i \(-0.269987\pi\)
0.470534 + 0.882382i \(0.344061\pi\)
\(384\) −0.115282 1.72821i −0.00588294 0.0881924i
\(385\) 22.5442 11.3221i 1.14896 0.577028i
\(386\) −2.28464 + 12.9569i −0.116285 + 0.659487i
\(387\) 5.23935 32.9532i 0.266331 1.67510i
\(388\) −0.881079 4.99685i −0.0447300 0.253676i
\(389\) −10.1548 13.6403i −0.514871 0.691592i 0.466323 0.884614i \(-0.345578\pi\)
−0.981194 + 0.193023i \(0.938171\pi\)
\(390\) 10.7177 + 18.2074i 0.542712 + 0.921968i
\(391\) −13.5467 14.3587i −0.685087 0.726149i
\(392\) −2.05100 + 6.85083i −0.103591 + 0.346019i
\(393\) 0.0521943 + 0.282083i 0.00263285 + 0.0142292i
\(394\) −20.1869 + 2.35951i −1.01700 + 0.118870i
\(395\) 21.2897 17.8642i 1.07120 0.898846i
\(396\) −6.86655 0.685460i −0.345057 0.0344457i
\(397\) 0.818172 + 0.686528i 0.0410629 + 0.0344559i 0.663088 0.748541i \(-0.269245\pi\)
−0.622025 + 0.782997i \(0.713690\pi\)
\(398\) −2.44271 1.60659i −0.122442 0.0805312i
\(399\) −33.2975 + 45.5224i −1.66696 + 2.27897i
\(400\) 2.09001 2.80737i 0.104500 0.140368i
\(401\) 29.6738 + 14.9027i 1.48184 + 0.744207i 0.991837 0.127515i \(-0.0407003\pi\)
0.490001 + 0.871722i \(0.336997\pi\)
\(402\) 1.53408 + 2.02477i 0.0765131 + 0.100986i
\(403\) −11.5760 2.74357i −0.576644 0.136667i
\(404\) 5.17931 0.257680
\(405\) −3.68267 + 25.9794i −0.182993 + 1.29093i
\(406\) −9.24211 −0.458678
\(407\) −14.2868 3.38604i −0.708171 0.167840i
\(408\) −1.76721 + 4.19370i −0.0874899 + 0.207619i
\(409\) −9.34646 4.69397i −0.462153 0.232102i 0.202459 0.979291i \(-0.435107\pi\)
−0.664612 + 0.747189i \(0.731403\pi\)
\(410\) 7.59197 10.1978i 0.374941 0.503633i
\(411\) 13.9366 + 31.5742i 0.687443 + 1.55744i
\(412\) −2.55122 1.67796i −0.125690 0.0826673i
\(413\) 26.7469 + 22.4433i 1.31613 + 1.10436i
\(414\) 18.6201 12.7014i 0.915129 0.624242i
\(415\) 4.95543 4.15810i 0.243253 0.204113i
\(416\) −4.15563 + 0.485724i −0.203747 + 0.0238146i
\(417\) 28.6919 24.4904i 1.40505 1.19930i
\(418\) −5.71056 + 19.0746i −0.279312 + 0.932969i
\(419\) −0.0335250 0.0355345i −0.00163781 0.00173597i 0.726554 0.687109i \(-0.241121\pi\)
−0.728192 + 0.685373i \(0.759639\pi\)
\(420\) 18.9955 0.160125i 0.926884 0.00781331i
\(421\) 23.4041 + 31.4372i 1.14065 + 1.53216i 0.808076 + 0.589079i \(0.200509\pi\)
0.332573 + 0.943078i \(0.392083\pi\)
\(422\) −4.49042 25.4665i −0.218590 1.23969i
\(423\) 0.938468 + 4.84337i 0.0456299 + 0.235493i
\(424\) −0.194969 + 1.10573i −0.00946854 + 0.0536988i
\(425\) −8.21766 + 4.12707i −0.398615 + 0.200192i
\(426\) 2.75942 1.84841i 0.133694 0.0895557i
\(427\) −13.3788 1.56376i −0.647445 0.0756755i
\(428\) 9.70627 6.38391i 0.469170 0.308578i
\(429\) −0.828921 + 16.6486i −0.0400207 + 0.803801i
\(430\) 9.30012 + 31.0646i 0.448491 + 1.49807i
\(431\) −11.4768 + 19.8784i −0.552819 + 0.957510i 0.445251 + 0.895406i \(0.353115\pi\)
−0.998070 + 0.0621044i \(0.980219\pi\)
\(432\) −4.41213 2.74465i −0.212279 0.132052i
\(433\) −13.6316 23.6107i −0.655095 1.13466i −0.981870 0.189555i \(-0.939295\pi\)
0.326775 0.945102i \(-0.394038\pi\)
\(434\) −7.34038 + 7.78034i −0.352349 + 0.373468i
\(435\) 3.65822 + 11.8547i 0.175398 + 0.568388i
\(436\) −0.147977 2.54067i −0.00708683 0.121676i
\(437\) −25.7592 59.7166i −1.23223 2.85663i
\(438\) 0.192573 + 0.200699i 0.00920151 + 0.00958978i
\(439\) 0.537077 9.22126i 0.0256333 0.440107i −0.960937 0.276768i \(-0.910737\pi\)
0.986570 0.163339i \(-0.0522263\pi\)
\(440\) 6.30179 2.29366i 0.300426 0.109346i
\(441\) 13.0996 + 16.9902i 0.623790 + 0.809055i
\(442\) 10.3300 + 3.75982i 0.491348 + 0.178836i
\(443\) −2.84067 + 6.58542i −0.134964 + 0.312883i −0.972273 0.233848i \(-0.924868\pi\)
0.837309 + 0.546730i \(0.184128\pi\)
\(444\) −8.52889 7.03493i −0.404763 0.333863i
\(445\) 2.65832 0.630034i 0.126017 0.0298665i
\(446\) 5.92763 1.40487i 0.280681 0.0665227i
\(447\) −2.51700 + 15.0136i −0.119050 + 0.710119i
\(448\) −1.48998 + 3.45416i −0.0703949 + 0.163194i
\(449\) −8.22352 2.99312i −0.388092 0.141254i 0.140603 0.990066i \(-0.455096\pi\)
−0.528694 + 0.848812i \(0.677318\pi\)
\(450\) −3.18051 10.0065i −0.149931 0.471710i
\(451\) 9.42570 3.43068i 0.443839 0.161544i
\(452\) −0.786361 + 13.5013i −0.0369873 + 0.635047i
\(453\) 21.5826 5.30772i 1.01404 0.249378i
\(454\) 10.4197 + 24.1555i 0.489019 + 1.13367i
\(455\) −2.66809 45.8093i −0.125082 2.14757i
\(456\) −10.1964 + 10.9918i −0.477492 + 0.514736i
\(457\) 5.31162 5.62999i 0.248467 0.263360i −0.591121 0.806583i \(-0.701315\pi\)
0.839589 + 0.543223i \(0.182796\pi\)
\(458\) 0.0784277 + 0.135841i 0.00366469 + 0.00634742i
\(459\) 7.12304 + 11.6470i 0.332475 + 0.543637i
\(460\) −10.9522 + 18.9699i −0.510651 + 0.884474i
\(461\) −12.0571 40.2734i −0.561554 1.87572i −0.476130 0.879375i \(-0.657961\pi\)
−0.0854238 0.996345i \(-0.527224\pi\)
\(462\) 12.5908 + 8.12991i 0.585778 + 0.378238i
\(463\) 5.23312 3.44188i 0.243204 0.159958i −0.422056 0.906570i \(-0.638691\pi\)
0.665259 + 0.746612i \(0.268321\pi\)
\(464\) −2.44021 0.285219i −0.113284 0.0132410i
\(465\) 12.8852 + 6.33573i 0.597535 + 0.293813i
\(466\) 10.0945 5.06963i 0.467617 0.234846i
\(467\) 2.63963 14.9701i 0.122148 0.692734i −0.860814 0.508921i \(-0.830045\pi\)
0.982961 0.183813i \(-0.0588442\pi\)
\(468\) −6.09174 + 10.9744i −0.281591 + 0.507292i
\(469\) −0.958058 5.43342i −0.0442390 0.250892i
\(470\) −2.86303 3.84572i −0.132062 0.177390i
\(471\) −3.98745 + 7.04290i −0.183732 + 0.324520i
\(472\) 6.36940 + 6.75117i 0.293175 + 0.310748i
\(473\) −7.33755 + 24.5091i −0.337381 + 1.12693i
\(474\) 15.5622 + 5.51606i 0.714795 + 0.253361i
\(475\) −30.0910 + 3.51713i −1.38067 + 0.161377i
\(476\) 7.57151 6.35325i 0.347040 0.291201i
\(477\) 2.35248 + 2.41073i 0.107712 + 0.110380i
\(478\) −18.5558 15.5702i −0.848722 0.712162i
\(479\) 17.0761 + 11.2311i 0.780228 + 0.513164i 0.876042 0.482235i \(-0.160175\pi\)
−0.0958134 + 0.995399i \(0.530545\pi\)
\(480\) 5.02035 + 0.543939i 0.229146 + 0.0248273i
\(481\) −15.9480 + 21.4219i −0.727165 + 0.976752i
\(482\) 16.1372 + 8.10442i 0.735031 + 0.369146i
\(483\) −48.5729 + 6.09281i −2.21014 + 0.277233i
\(484\) −5.55508 1.31658i −0.252504 0.0598445i
\(485\) 14.7929 0.671709
\(486\) −14.4107 + 5.94404i −0.653683 + 0.269627i
\(487\) 24.1765 1.09554 0.547771 0.836628i \(-0.315476\pi\)
0.547771 + 0.836628i \(0.315476\pi\)
\(488\) −3.48416 0.825762i −0.157721 0.0373805i
\(489\) −24.0698 + 3.01923i −1.08847 + 0.136534i
\(490\) −18.6316 9.35712i −0.841688 0.422712i
\(491\) −8.59198 + 11.5410i −0.387751 + 0.520840i −0.952547 0.304391i \(-0.901547\pi\)
0.564797 + 0.825230i \(0.308955\pi\)
\(492\) 7.50903 + 0.813580i 0.338533 + 0.0366790i
\(493\) 5.39317 + 3.54715i 0.242896 + 0.159755i
\(494\) 27.7435 + 23.2796i 1.24824 + 1.04740i
\(495\) 5.44436 19.3680i 0.244706 0.870527i
\(496\) −2.17820 + 1.82773i −0.0978040 + 0.0820673i
\(497\) −7.16471 + 0.837434i −0.321381 + 0.0375641i
\(498\) 3.62228 + 1.28393i 0.162318 + 0.0575341i
\(499\) 10.3103 34.4387i 0.461551 1.54169i −0.338034 0.941134i \(-0.609762\pi\)
0.799585 0.600553i \(-0.205053\pi\)
\(500\) −3.00122 3.18111i −0.134219 0.142264i
\(501\) −8.92414 + 15.7624i −0.398701 + 0.704214i
\(502\) −2.43573 3.27175i −0.108712 0.146025i
\(503\) 0.139377 + 0.790444i 0.00621449 + 0.0352441i 0.987757 0.155998i \(-0.0498594\pi\)
−0.981543 + 0.191242i \(0.938748\pi\)
\(504\) 5.80668 + 9.67697i 0.258650 + 0.431047i
\(505\) −2.62210 + 14.8707i −0.116682 + 0.661737i
\(506\) −15.4438 + 7.75619i −0.686562 + 0.344805i
\(507\) 7.00253 + 3.44320i 0.310993 + 0.152918i
\(508\) −10.4070 1.21640i −0.461734 0.0539690i
\(509\) −10.7873 + 7.09492i −0.478139 + 0.314477i −0.765602 0.643315i \(-0.777559\pi\)
0.287463 + 0.957792i \(0.407188\pi\)
\(510\) −11.1462 7.19708i −0.493560 0.318692i
\(511\) −0.173258 0.578721i −0.00766446 0.0256011i
\(512\) −0.500000 + 0.866025i −0.0220971 + 0.0382733i
\(513\) 8.92799 + 44.0836i 0.394180 + 1.94634i
\(514\) −9.67117 16.7510i −0.426577 0.738853i
\(515\) 6.10931 6.47549i 0.269208 0.285344i
\(516\) −13.1015 + 14.1234i −0.576762 + 0.621749i
\(517\) −0.219943 3.77628i −0.00967310 0.166081i
\(518\) 9.51070 + 22.0483i 0.417876 + 0.968746i
\(519\) −22.8083 + 5.60914i −1.00117 + 0.246214i
\(520\) 0.709255 12.1774i 0.0311029 0.534016i
\(521\) −13.9069 + 5.06170i −0.609273 + 0.221757i −0.628185 0.778064i \(-0.716202\pi\)
0.0189124 + 0.999821i \(0.493980\pi\)
\(522\) −4.96682 + 5.44558i −0.217392 + 0.238347i
\(523\) 3.67429 + 1.33733i 0.160666 + 0.0584775i 0.421101 0.907014i \(-0.361644\pi\)
−0.260435 + 0.965491i \(0.583866\pi\)
\(524\) 0.0656007 0.152080i 0.00286578 0.00664363i
\(525\) −3.77048 + 22.4904i −0.164557 + 0.981563i
\(526\) 14.8368 3.51638i 0.646913 0.153321i
\(527\) 7.26955 1.72291i 0.316667 0.0750514i
\(528\) 3.07348 + 2.53512i 0.133756 + 0.110327i
\(529\) 13.2482 30.7129i 0.576010 1.33534i
\(530\) −3.07602 1.11958i −0.133614 0.0486314i
\(531\) 27.5980 3.69835i 1.19765 0.160495i
\(532\) 30.5990 11.1371i 1.32664 0.482856i
\(533\) 1.06085 18.2140i 0.0459504 0.788937i
\(534\) 1.12371 + 1.17112i 0.0486275 + 0.0506794i
\(535\) 13.4154 + 31.1003i 0.579997 + 1.34458i
\(536\) −0.0852776 1.46416i −0.00368343 0.0632421i
\(537\) −2.22250 7.20215i −0.0959081 0.310796i
\(538\) 12.9339 13.7092i 0.557621 0.591044i
\(539\) −8.22475 14.2457i −0.354265 0.613605i
\(540\) 10.1141 11.2785i 0.435240 0.485348i
\(541\) 0.299580 0.518888i 0.0128800 0.0223087i −0.859514 0.511113i \(-0.829233\pi\)
0.872394 + 0.488804i \(0.162567\pi\)
\(542\) −3.19087 10.6583i −0.137060 0.457811i
\(543\) −0.154561 + 3.10430i −0.00663283 + 0.133218i
\(544\) 2.19518 1.44380i 0.0941178 0.0619022i
\(545\) 7.36962 + 0.861385i 0.315680 + 0.0368977i
\(546\) 22.6492 15.1716i 0.969295 0.649286i
\(547\) 9.85913 4.95144i 0.421546 0.211708i −0.225364 0.974275i \(-0.572357\pi\)
0.646910 + 0.762566i \(0.276061\pi\)
\(548\) 3.46015 19.6235i 0.147810 0.838274i
\(549\) −8.11131 + 7.04260i −0.346182 + 0.300571i
\(550\) 1.39797 + 7.92830i 0.0596098 + 0.338064i
\(551\) 12.6995 + 17.0584i 0.541018 + 0.726713i
\(552\) −13.0128 + 0.109693i −0.553862 + 0.00466886i
\(553\) −24.6084 26.0834i −1.04646 1.10918i
\(554\) −7.47828 + 24.9792i −0.317722 + 1.06126i
\(555\) 24.5164 20.9264i 1.04066 0.888274i
\(556\) −21.6320 + 2.52841i −0.917400 + 0.107229i
\(557\) −30.1952 + 25.3368i −1.27941 + 1.07355i −0.286086 + 0.958204i \(0.592354\pi\)
−0.993325 + 0.115349i \(0.963201\pi\)
\(558\) 0.639485 + 8.50631i 0.0270715 + 0.360101i
\(559\) 35.6480 + 29.9122i 1.50775 + 1.26515i
\(560\) −9.16316 6.02670i −0.387214 0.254675i
\(561\) −4.22702 9.57656i −0.178465 0.404322i
\(562\) −10.1157 + 13.5877i −0.426704 + 0.573162i
\(563\) 4.18633 + 2.10245i 0.176433 + 0.0886078i 0.534823 0.844964i \(-0.320378\pi\)
−0.358391 + 0.933572i \(0.616674\pi\)
\(564\) 1.10608 2.62480i 0.0465743 0.110524i
\(565\) −38.3664 9.09300i −1.61409 0.382545i
\(566\) −17.1296 −0.720011
\(567\) 33.7408 + 2.79462i 1.41698 + 0.117363i
\(568\) −1.91755 −0.0804587
\(569\) 24.2228 + 5.74091i 1.01547 + 0.240672i 0.704467 0.709737i \(-0.251186\pi\)
0.311006 + 0.950408i \(0.399334\pi\)
\(570\) −26.3971 34.8405i −1.10565 1.45931i
\(571\) −32.5654 16.3550i −1.36282 0.684434i −0.391051 0.920369i \(-0.627888\pi\)
−0.971769 + 0.235935i \(0.924185\pi\)
\(572\) 5.74703 7.71961i 0.240296 0.322773i
\(573\) 25.7264 35.1716i 1.07473 1.46932i
\(574\) −13.7055 9.01426i −0.572057 0.376248i
\(575\) −20.1437 16.9025i −0.840048 0.704884i
\(576\) 1.23451 + 2.73423i 0.0514379 + 0.113926i
\(577\) 6.24646 5.24140i 0.260043 0.218202i −0.503439 0.864031i \(-0.667932\pi\)
0.763483 + 0.645828i \(0.223488\pi\)
\(578\) 10.0283 1.17215i 0.417124 0.0487548i
\(579\) −4.14615 22.4078i −0.172308 0.931236i
\(580\) 2.05430 6.86186i 0.0853004 0.284923i
\(581\) −5.72789 6.07121i −0.237633 0.251876i
\(582\) 4.45815 + 7.57359i 0.184796 + 0.313935i
\(583\) −1.54225 2.07161i −0.0638736 0.0857971i
\(584\) −0.0278857 0.158147i −0.00115392 0.00654419i
\(585\) −28.4254 23.0464i −1.17524 0.952851i
\(586\) −0.498222 + 2.82556i −0.0205814 + 0.116723i
\(587\) 1.96062 0.984662i 0.0809236 0.0406413i −0.407877 0.913037i \(-0.633731\pi\)
0.488801 + 0.872395i \(0.337435\pi\)
\(588\) −0.824409 12.3589i −0.0339980 0.509672i
\(589\) 24.4468 + 2.85742i 1.00731 + 0.117738i
\(590\) −22.6084 + 14.8698i −0.930772 + 0.612178i
\(591\) 31.3240 16.0636i 1.28850 0.660767i
\(592\) 1.83070 + 6.11495i 0.0752411 + 0.251323i
\(593\) −18.7384 + 32.4558i −0.769493 + 1.33280i 0.168346 + 0.985728i \(0.446157\pi\)
−0.937838 + 0.347072i \(0.887176\pi\)
\(594\) 11.5567 3.04959i 0.474178 0.125126i
\(595\) 14.4081 + 24.9555i 0.590674 + 1.02308i
\(596\) 6.03143 6.39294i 0.247057 0.261865i
\(597\) 4.93715 + 1.12626i 0.202064 + 0.0460946i
\(598\) 1.82777 + 31.3815i 0.0747429 + 1.28329i
\(599\) −4.76448 11.0453i −0.194671 0.451299i 0.792722 0.609583i \(-0.208663\pi\)
−0.987394 + 0.158284i \(0.949404\pi\)
\(600\) −1.68960 + 5.82182i −0.0689776 + 0.237675i
\(601\) −1.05142 + 18.0522i −0.0428884 + 0.736366i 0.906489 + 0.422229i \(0.138752\pi\)
−0.949378 + 0.314137i \(0.898285\pi\)
\(602\) 39.3170 14.3102i 1.60244 0.583241i
\(603\) −3.71632 2.35548i −0.151340 0.0959227i
\(604\) −12.0582 4.38881i −0.490639 0.178578i
\(605\) 6.59246 15.2830i 0.268022 0.621344i
\(606\) −8.40366 + 3.13915i −0.341375 + 0.127519i
\(607\) 4.57034 1.08319i 0.185504 0.0439653i −0.136814 0.990597i \(-0.543686\pi\)
0.322318 + 0.946631i \(0.395538\pi\)
\(608\) 8.42281 1.99624i 0.341590 0.0809583i
\(609\) 14.9957 5.60159i 0.607657 0.226988i
\(610\) 4.13481 9.58558i 0.167414 0.388109i
\(611\) −6.46546 2.35323i −0.261564 0.0952016i
\(612\) 0.325593 7.87556i 0.0131613 0.318351i
\(613\) −17.4302 + 6.34408i −0.704000 + 0.256235i −0.669118 0.743156i \(-0.733328\pi\)
−0.0348821 + 0.999391i \(0.511106\pi\)
\(614\) −1.15815 + 19.8847i −0.0467391 + 0.802479i
\(615\) −6.13748 + 21.1478i −0.247487 + 0.852763i
\(616\) −3.42729 7.94535i −0.138089 0.320127i
\(617\) 0.919178 + 15.7817i 0.0370047 + 0.635347i 0.964918 + 0.262551i \(0.0845638\pi\)
−0.927913 + 0.372796i \(0.878399\pi\)
\(618\) 5.15647 + 1.17629i 0.207424 + 0.0473173i
\(619\) 11.1428 11.8107i 0.447866 0.474711i −0.463624 0.886032i \(-0.653451\pi\)
0.911490 + 0.411321i \(0.134933\pi\)
\(620\) −4.14497 7.17929i −0.166466 0.288327i
\(621\) −22.5137 + 31.8942i −0.903443 + 1.27987i
\(622\) 4.58002 7.93282i 0.183642 0.318077i
\(623\) −1.01099 3.37696i −0.0405046 0.135295i
\(624\) 6.44830 3.30682i 0.258139 0.132379i
\(625\) 25.2736 16.6227i 1.01095 0.664909i
\(626\) −9.36704 1.09485i −0.374382 0.0437590i
\(627\) −2.29538 34.4105i −0.0916686 1.37422i
\(628\) 4.17567 2.09710i 0.166627 0.0836834i
\(629\) 2.91228 16.5164i 0.116120 0.658551i
\(630\) −30.7239 + 11.7729i −1.22407 + 0.469042i
\(631\) 1.49267 + 8.46536i 0.0594223 + 0.337001i 0.999997 0.00258717i \(-0.000823521\pi\)
−0.940574 + 0.339588i \(0.889712\pi\)
\(632\) −5.69244 7.64628i −0.226433 0.304153i
\(633\) 22.7210 + 38.5988i 0.903079 + 1.53417i
\(634\) 11.6406 + 12.3383i 0.462308 + 0.490018i
\(635\) 8.76116 29.2643i 0.347676 1.16132i
\(636\) −0.353828 1.91226i −0.0140302 0.0758259i
\(637\) −29.7180 + 3.47354i −1.17747 + 0.137627i
\(638\) 4.32910 3.63255i 0.171391 0.143814i
\(639\) −3.35697 + 4.67160i −0.132800 + 0.184806i
\(640\) −2.23337 1.87402i −0.0882819 0.0740773i
\(641\) −6.21351 4.08669i −0.245419 0.161415i 0.420840 0.907135i \(-0.361735\pi\)
−0.666259 + 0.745720i \(0.732106\pi\)
\(642\) −11.8796 + 16.2411i −0.468850 + 0.640985i
\(643\) 23.5984 31.6982i 0.930631 1.25005i −0.0374199 0.999300i \(-0.511914\pi\)
0.968051 0.250755i \(-0.0806787\pi\)
\(644\) 25.2570 + 12.6846i 0.995267 + 0.499842i
\(645\) −33.9179 44.7669i −1.33552 1.76269i
\(646\) −22.1303 5.24499i −0.870706 0.206361i
\(647\) −36.6479 −1.44078 −0.720388 0.693571i \(-0.756036\pi\)
−0.720388 + 0.693571i \(0.756036\pi\)
\(648\) 8.82240 + 1.77914i 0.346576 + 0.0698912i
\(649\) −21.3497 −0.838049
\(650\) 14.2487 + 3.37700i 0.558880 + 0.132457i
\(651\) 7.19446 17.0729i 0.281973 0.669140i
\(652\) 12.5159 + 6.28571i 0.490159 + 0.246167i
\(653\) −14.8810 + 19.9887i −0.582340 + 0.782218i −0.991481 0.130253i \(-0.958421\pi\)
0.409141 + 0.912471i \(0.365828\pi\)
\(654\) 1.77999 + 4.03266i 0.0696030 + 0.157690i
\(655\) 0.403435 + 0.265343i 0.0157635 + 0.0103678i
\(656\) −3.34050 2.80301i −0.130425 0.109439i
\(657\) −0.434101 0.208926i −0.0169359 0.00815096i
\(658\) −4.73894 + 3.97644i −0.184743 + 0.155018i
\(659\) 6.20553 0.725323i 0.241733 0.0282546i 0.00563648 0.999984i \(-0.498206\pi\)
0.236097 + 0.971730i \(0.424132\pi\)
\(660\) −8.83475 + 7.54105i −0.343892 + 0.293535i
\(661\) −2.30731 + 7.70696i −0.0897440 + 0.299766i −0.991064 0.133388i \(-0.957414\pi\)
0.901320 + 0.433154i \(0.142599\pi\)
\(662\) −6.67497 7.07506i −0.259430 0.274980i
\(663\) −19.0397 + 0.160498i −0.739440 + 0.00623323i
\(664\) −1.32498 1.77976i −0.0514193 0.0690680i
\(665\) 16.4854 + 93.4933i 0.639276 + 3.62552i
\(666\) 18.1023 + 6.24517i 0.701451 + 0.241995i
\(667\) −3.20531 + 18.1782i −0.124110 + 0.703862i
\(668\) 9.34540 4.69344i 0.361584 0.181595i
\(669\) −8.76635 + 5.87217i −0.338927 + 0.227031i
\(670\) 4.24703 + 0.496406i 0.164077 + 0.0191778i
\(671\) 6.88139 4.52596i 0.265653 0.174723i
\(672\) 0.324008 6.50760i 0.0124989 0.251036i
\(673\) 2.73069 + 9.12116i 0.105261 + 0.351595i 0.994352 0.106136i \(-0.0338477\pi\)
−0.889091 + 0.457730i \(0.848663\pi\)
\(674\) −8.66635 + 15.0106i −0.333815 + 0.578185i
\(675\) 11.2254 + 14.3082i 0.432065 + 0.550725i
\(676\) −2.25261 3.90164i −0.0866389 0.150063i
\(677\) −4.14696 + 4.39552i −0.159380 + 0.168933i −0.802143 0.597132i \(-0.796307\pi\)
0.642762 + 0.766066i \(0.277788\pi\)
\(678\) −6.90716 22.3830i −0.265268 0.859616i
\(679\) −1.10982 19.0549i −0.0425910 0.731260i
\(680\) 3.03404 + 7.03369i 0.116350 + 0.269730i
\(681\) −31.5469 32.8781i −1.20888 1.25989i
\(682\) 0.380299 6.52948i 0.0145624 0.250027i
\(683\) −9.85302 + 3.58621i −0.377015 + 0.137222i −0.523575 0.851979i \(-0.675402\pi\)
0.146560 + 0.989202i \(0.453180\pi\)
\(684\) 9.88212 24.0146i 0.377852 0.918222i
\(685\) 54.5906 + 19.8694i 2.08580 + 0.759169i
\(686\) −0.225376 + 0.522479i −0.00860488 + 0.0199484i
\(687\) −0.209585 0.172873i −0.00799616 0.00659552i
\(688\) 10.8226 2.56499i 0.412606 0.0977894i
\(689\) −4.57101 + 1.08335i −0.174142 + 0.0412723i
\(690\) 6.27298 37.4175i 0.238808 1.42446i
\(691\) −8.09693 + 18.7708i −0.308022 + 0.714074i −0.999969 0.00787360i \(-0.997494\pi\)
0.691947 + 0.721948i \(0.256753\pi\)
\(692\) 12.7429 + 4.63805i 0.484413 + 0.176312i
\(693\) −25.3567 5.55990i −0.963220 0.211203i
\(694\) −22.2881 + 8.11220i −0.846044 + 0.307935i
\(695\) 3.69199 63.3891i 0.140045 2.40449i
\(696\) 4.13222 1.01622i 0.156631 0.0385196i
\(697\) 4.53807 + 10.5204i 0.171892 + 0.398490i
\(698\) −0.130456 2.23984i −0.00493782 0.0847791i
\(699\) −13.3060 + 14.3439i −0.503281 + 0.542536i
\(700\) 9.03510 9.57665i 0.341495 0.361963i
\(701\) −1.14992 1.99172i −0.0434320 0.0752264i 0.843492 0.537141i \(-0.180496\pi\)
−0.886924 + 0.461915i \(0.847163\pi\)
\(702\) 3.23259 21.4986i 0.122006 0.811414i
\(703\) 27.6265 47.8505i 1.04195 1.80472i
\(704\) −0.659712 2.20359i −0.0248638 0.0830510i
\(705\) 6.97627 + 4.50458i 0.262742 + 0.169652i
\(706\) 11.6154 7.63957i 0.437151 0.287519i
\(707\) 19.3519 + 2.26191i 0.727802 + 0.0850679i
\(708\) −14.4265 7.09361i −0.542180 0.266594i
\(709\) −33.4321 + 16.7902i −1.25557 + 0.630570i −0.947184 0.320692i \(-0.896085\pi\)
−0.308385 + 0.951262i \(0.599788\pi\)
\(710\) 0.970789 5.50562i 0.0364331 0.206622i
\(711\) −28.5936 + 0.482102i −1.07234 + 0.0180802i
\(712\) −0.162719 0.922824i −0.00609814 0.0345843i
\(713\) 12.7573 + 17.1360i 0.477765 + 0.641750i
\(714\) −8.43444 + 14.8975i −0.315651 + 0.557524i
\(715\) 19.2548 + 20.4089i 0.720088 + 0.763249i
\(716\) −1.24807 + 4.16883i −0.0466425 + 0.155797i
\(717\) 39.5446 + 14.0167i 1.47682 + 0.523463i
\(718\) 20.3499 2.37856i 0.759452 0.0887672i
\(719\) −23.5264 + 19.7410i −0.877385 + 0.736214i −0.965640 0.259884i \(-0.916316\pi\)
0.0882543 + 0.996098i \(0.471871\pi\)
\(720\) −8.47541 + 2.16024i −0.315860 + 0.0805075i
\(721\) −8.79953 7.38368i −0.327711 0.274983i
\(722\) −46.7277 30.7333i −1.73903 1.14378i
\(723\) −31.0954 3.36909i −1.15645 0.125298i
\(724\) 1.07159 1.43940i 0.0398255 0.0534949i
\(725\) 7.68406 + 3.85908i 0.285379 + 0.143323i
\(726\) 9.81133 1.23070i 0.364133 0.0456755i
\(727\) −16.9543 4.01825i −0.628801 0.149029i −0.0961545 0.995366i \(-0.530654\pi\)
−0.532646 + 0.846338i \(0.678802\pi\)
\(728\) −15.7392 −0.583332
\(729\) 19.7794 18.3787i 0.732569 0.680693i
\(730\) 0.468186 0.0173283
\(731\) −28.4355 6.73933i −1.05172 0.249263i
\(732\) 6.15370 0.771899i 0.227447 0.0285302i
\(733\) 14.0133 + 7.03774i 0.517593 + 0.259945i 0.688364 0.725366i \(-0.258329\pi\)
−0.170771 + 0.985311i \(0.554626\pi\)
\(734\) 13.6347 18.3146i 0.503267 0.676005i
\(735\) 35.9018 + 3.88985i 1.32426 + 0.143479i
\(736\) 6.27720 + 4.12858i 0.231381 + 0.152181i
\(737\) 2.58433 + 2.16851i 0.0951951 + 0.0798781i
\(738\) −12.6768 + 3.23112i −0.466641 + 0.118939i
\(739\) 35.8862 30.1121i 1.32009 1.10769i 0.333809 0.942641i \(-0.391666\pi\)
0.986285 0.165050i \(-0.0527785\pi\)
\(740\) −18.4839 + 2.16046i −0.679481 + 0.0794199i
\(741\) −59.1248 20.9570i −2.17200 0.769873i
\(742\) −1.21137 + 4.04626i −0.0444708 + 0.148543i
\(743\) −24.3469 25.8062i −0.893200 0.946737i 0.105663 0.994402i \(-0.466303\pi\)
−0.998863 + 0.0476653i \(0.984822\pi\)
\(744\) 2.42645 4.28576i 0.0889579 0.157124i
\(745\) 15.3017 + 20.5538i 0.560611 + 0.753032i
\(746\) 0.679977 + 3.85634i 0.0248957 + 0.141191i
\(747\) −6.65548 + 0.112215i −0.243511 + 0.00410572i
\(748\) −1.04947 + 5.95186i −0.0383726 + 0.217622i
\(749\) 39.0543 19.6138i 1.42701 0.716673i
\(750\) 6.79767 + 3.34247i 0.248216 + 0.122050i
\(751\) −3.16188 0.369570i −0.115378 0.0134858i 0.0582077 0.998304i \(-0.481461\pi\)
−0.173586 + 0.984819i \(0.555536\pi\)
\(752\) −1.37395 + 0.903658i −0.0501026 + 0.0329530i
\(753\) 5.93507 + 3.83228i 0.216286 + 0.139656i
\(754\) −2.94809 9.84732i −0.107363 0.358618i
\(755\) 18.7056 32.3991i 0.680768 1.17912i
\(756\) −15.2868 12.1819i −0.555974 0.443052i
\(757\) 19.7532 + 34.2135i 0.717942 + 1.24351i 0.961814 + 0.273704i \(0.0882489\pi\)
−0.243872 + 0.969807i \(0.578418\pi\)
\(758\) −3.67290 + 3.89304i −0.133406 + 0.141402i
\(759\) 20.3573 21.9452i 0.738924 0.796560i
\(760\) 1.46738 + 25.1939i 0.0532275 + 0.913880i
\(761\) 10.0606 + 23.3230i 0.364695 + 0.845458i 0.997468 + 0.0711204i \(0.0226575\pi\)
−0.632773 + 0.774338i \(0.718083\pi\)
\(762\) 17.6230 4.33394i 0.638414 0.157002i
\(763\) 0.556663 9.55754i 0.0201526 0.346006i
\(764\) −23.6415 + 8.60480i −0.855319 + 0.311311i
\(765\) 22.4472 + 4.92195i 0.811581 + 0.177954i
\(766\) 20.9571 + 7.62775i 0.757210 + 0.275602i
\(767\) −15.3811 + 35.6575i