Properties

Label 378.2.z.a.41.13
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.13
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.64560 - 0.540384i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.881233 + 0.739442i) q^{5} +(-1.71443 - 0.246420i) q^{6} +(-0.336437 + 2.62427i) q^{7} +(0.866025 - 0.500000i) q^{8} +(2.41597 + 1.77851i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.64560 - 0.540384i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.881233 + 0.739442i) q^{5} +(-1.71443 - 0.246420i) q^{6} +(-0.336437 + 2.62427i) q^{7} +(0.866025 - 0.500000i) q^{8} +(2.41597 + 1.77851i) q^{9} +(0.996248 + 0.575184i) q^{10} +(0.595719 + 0.709951i) q^{11} +(-1.73118 + 0.0550316i) q^{12} +(4.25218 + 0.749775i) q^{13} +(0.124375 + 2.64283i) q^{14} +(-1.05057 - 1.69303i) q^{15} +(0.766044 - 0.642788i) q^{16} +(2.28111 - 3.95100i) q^{17} +(2.68810 + 1.33196i) q^{18} +(-0.687760 + 0.397079i) q^{19} +(1.08099 + 0.393449i) q^{20} +(1.97176 - 4.13669i) q^{21} +(0.709951 + 0.595719i) q^{22} +(1.46197 + 4.01673i) q^{23} +(-1.69532 + 0.354811i) q^{24} +(-0.638444 - 3.62080i) q^{25} +4.31778 q^{26} +(-3.01463 - 4.23226i) q^{27} +(0.581407 + 2.58108i) q^{28} +(1.10897 - 0.195541i) q^{29} +(-1.32860 - 1.48488i) q^{30} +(1.11895 + 3.07428i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-0.596667 - 1.49021i) q^{33} +(1.56037 - 4.28708i) q^{34} +(-2.23698 + 2.06382i) q^{35} +(2.87855 + 0.844941i) q^{36} +(-5.27314 + 9.13334i) q^{37} +(-0.608360 + 0.510474i) q^{38} +(-6.59221 - 3.53164i) q^{39} +(1.13289 + 0.199759i) q^{40} +(1.15671 - 6.56003i) q^{41} +(1.22347 - 4.41623i) q^{42} +(-2.26242 + 1.89840i) q^{43} +(0.802610 + 0.463387i) q^{44} +(0.813928 + 3.35375i) q^{45} +(2.13726 + 3.70184i) q^{46} +(1.43434 + 0.522056i) q^{47} +(-1.60795 + 0.643810i) q^{48} +(-6.77362 - 1.76580i) q^{49} +(-1.25749 - 3.45492i) q^{50} +(-5.88884 + 5.26906i) q^{51} +(4.25218 - 0.749775i) q^{52} -6.12939i q^{53} +(-3.70376 - 3.64447i) q^{54} +1.06613i q^{55} +(1.02077 + 2.44091i) q^{56} +(1.34635 - 0.281776i) q^{57} +(1.05816 - 0.385140i) q^{58} +(0.539986 + 0.453102i) q^{59} +(-1.56626 - 1.23161i) q^{60} +(-2.12248 + 5.83147i) q^{61} +(1.63579 + 2.83327i) q^{62} +(-5.48011 + 5.74181i) q^{63} +(0.500000 - 0.866025i) q^{64} +(3.19275 + 3.80497i) q^{65} +(-0.846374 - 1.36396i) q^{66} +(0.0261392 - 0.148242i) q^{67} +(0.792221 - 4.49291i) q^{68} +(-0.235233 - 7.39994i) q^{69} +(-1.84461 + 2.42091i) q^{70} +(-13.9539 - 8.05630i) q^{71} +(2.98155 + 0.332249i) q^{72} +(-5.65711 + 3.26614i) q^{73} +(-3.60704 + 9.91026i) q^{74} +(-0.906001 + 6.30337i) q^{75} +(-0.510474 + 0.608360i) q^{76} +(-2.06353 + 1.32448i) q^{77} +(-7.10532 - 2.33326i) q^{78} +(-2.17885 - 12.3569i) q^{79} +1.15037 q^{80} +(2.67382 + 8.59364i) q^{81} -6.66123i q^{82} +(-2.26883 - 12.8672i) q^{83} +(0.438013 - 4.56159i) q^{84} +(4.93172 - 1.79500i) q^{85} +(-1.89840 + 2.26242i) q^{86} +(-1.93058 - 0.277487i) q^{87} +(0.870883 + 0.316976i) q^{88} +(-6.04165 - 10.4644i) q^{89} +(1.38394 + 3.16146i) q^{90} +(-3.39821 + 10.9066i) q^{91} +(2.74761 + 3.27447i) q^{92} +(-0.180040 - 5.66368i) q^{93} +(1.50320 + 0.265055i) q^{94} +(-0.899694 - 0.158640i) q^{95} +(-1.47173 + 0.913247i) q^{96} +(3.91366 + 4.66412i) q^{97} +(-6.97734 - 0.562750i) q^{98} +(0.176587 + 2.77471i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) −1.64560 0.540384i −0.950085 0.311991i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.881233 + 0.739442i 0.394099 + 0.330689i 0.818208 0.574923i \(-0.194968\pi\)
−0.424108 + 0.905612i \(0.639412\pi\)
\(6\) −1.71443 0.246420i −0.699914 0.100601i
\(7\) −0.336437 + 2.62427i −0.127161 + 0.991882i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 2.41597 + 1.77851i 0.805323 + 0.592836i
\(10\) 0.996248 + 0.575184i 0.315041 + 0.181889i
\(11\) 0.595719 + 0.709951i 0.179616 + 0.214058i 0.848339 0.529454i \(-0.177603\pi\)
−0.668723 + 0.743512i \(0.733159\pi\)
\(12\) −1.73118 + 0.0550316i −0.499748 + 0.0158863i
\(13\) 4.25218 + 0.749775i 1.17934 + 0.207950i 0.728751 0.684779i \(-0.240101\pi\)
0.450593 + 0.892729i \(0.351212\pi\)
\(14\) 0.124375 + 2.64283i 0.0332406 + 0.706325i
\(15\) −1.05057 1.69303i −0.271256 0.437138i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 2.28111 3.95100i 0.553250 0.958257i −0.444787 0.895636i \(-0.646721\pi\)
0.998037 0.0626209i \(-0.0199459\pi\)
\(18\) 2.68810 + 1.33196i 0.633591 + 0.313946i
\(19\) −0.687760 + 0.397079i −0.157783 + 0.0910961i −0.576813 0.816877i \(-0.695704\pi\)
0.419030 + 0.907973i \(0.362370\pi\)
\(20\) 1.08099 + 0.393449i 0.241717 + 0.0879779i
\(21\) 1.97176 4.13669i 0.430272 0.902699i
\(22\) 0.709951 + 0.595719i 0.151362 + 0.127008i
\(23\) 1.46197 + 4.01673i 0.304842 + 0.837546i 0.993641 + 0.112594i \(0.0359160\pi\)
−0.688799 + 0.724952i \(0.741862\pi\)
\(24\) −1.69532 + 0.354811i −0.346056 + 0.0724255i
\(25\) −0.638444 3.62080i −0.127689 0.724159i
\(26\) 4.31778 0.846787
\(27\) −3.01463 4.23226i −0.580166 0.814498i
\(28\) 0.581407 + 2.58108i 0.109876 + 0.487778i
\(29\) 1.10897 0.195541i 0.205930 0.0363110i −0.0697315 0.997566i \(-0.522214\pi\)
0.275661 + 0.961255i \(0.411103\pi\)
\(30\) −1.32860 1.48488i −0.242568 0.271100i
\(31\) 1.11895 + 3.07428i 0.200969 + 0.552157i 0.998706 0.0508475i \(-0.0161923\pi\)
−0.797738 + 0.603005i \(0.793970\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −0.596667 1.49021i −0.103866 0.259412i
\(34\) 1.56037 4.28708i 0.267601 0.735228i
\(35\) −2.23698 + 2.06382i −0.378118 + 0.348849i
\(36\) 2.87855 + 0.844941i 0.479759 + 0.140823i
\(37\) −5.27314 + 9.13334i −0.866899 + 1.50151i −0.00174896 + 0.999998i \(0.500557\pi\)
−0.865150 + 0.501514i \(0.832777\pi\)
\(38\) −0.608360 + 0.510474i −0.0986890 + 0.0828099i
\(39\) −6.59221 3.53164i −1.05560 0.565515i
\(40\) 1.13289 + 0.199759i 0.179126 + 0.0315847i
\(41\) 1.15671 6.56003i 0.180648 1.02450i −0.750773 0.660560i \(-0.770319\pi\)
0.931421 0.363944i \(-0.118570\pi\)
\(42\) 1.22347 4.41623i 0.188786 0.681440i
\(43\) −2.26242 + 1.89840i −0.345016 + 0.289503i −0.798785 0.601616i \(-0.794524\pi\)
0.453769 + 0.891119i \(0.350079\pi\)
\(44\) 0.802610 + 0.463387i 0.120998 + 0.0698583i
\(45\) 0.813928 + 3.35375i 0.121333 + 0.499948i
\(46\) 2.13726 + 3.70184i 0.315122 + 0.545807i
\(47\) 1.43434 + 0.522056i 0.209220 + 0.0761497i 0.444504 0.895777i \(-0.353380\pi\)
−0.235284 + 0.971927i \(0.575602\pi\)
\(48\) −1.60795 + 0.643810i −0.232088 + 0.0929260i
\(49\) −6.77362 1.76580i −0.967660 0.252258i
\(50\) −1.25749 3.45492i −0.177836 0.488600i
\(51\) −5.88884 + 5.26906i −0.824602 + 0.737817i
\(52\) 4.25218 0.749775i 0.589672 0.103975i
\(53\) 6.12939i 0.841936i −0.907075 0.420968i \(-0.861690\pi\)
0.907075 0.420968i \(-0.138310\pi\)
\(54\) −3.70376 3.64447i −0.504017 0.495950i
\(55\) 1.06613i 0.143757i
\(56\) 1.02077 + 2.44091i 0.136407 + 0.326180i
\(57\) 1.34635 0.281776i 0.178328 0.0373221i
\(58\) 1.05816 0.385140i 0.138944 0.0505714i
\(59\) 0.539986 + 0.453102i 0.0703002 + 0.0589889i 0.677261 0.735743i \(-0.263167\pi\)
−0.606960 + 0.794732i \(0.707611\pi\)
\(60\) −1.56626 1.23161i −0.202204 0.159000i
\(61\) −2.12248 + 5.83147i −0.271756 + 0.746644i 0.726475 + 0.687193i \(0.241157\pi\)
−0.998231 + 0.0594509i \(0.981065\pi\)
\(62\) 1.63579 + 2.83327i 0.207746 + 0.359826i
\(63\) −5.48011 + 5.74181i −0.690429 + 0.723400i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 3.19275 + 3.80497i 0.396012 + 0.471949i
\(66\) −0.846374 1.36396i −0.104181 0.167892i
\(67\) 0.0261392 0.148242i 0.00319341 0.0181107i −0.983169 0.182696i \(-0.941518\pi\)
0.986363 + 0.164585i \(0.0526286\pi\)
\(68\) 0.792221 4.49291i 0.0960709 0.544845i
\(69\) −0.235233 7.39994i −0.0283188 0.890848i
\(70\) −1.84461 + 2.42091i −0.220474 + 0.289355i
\(71\) −13.9539 8.05630i −1.65603 0.956107i −0.974522 0.224292i \(-0.927993\pi\)
−0.681504 0.731815i \(-0.738674\pi\)
\(72\) 2.98155 + 0.332249i 0.351378 + 0.0391559i
\(73\) −5.65711 + 3.26614i −0.662115 + 0.382272i −0.793082 0.609114i \(-0.791525\pi\)
0.130967 + 0.991387i \(0.458192\pi\)
\(74\) −3.60704 + 9.91026i −0.419310 + 1.15204i
\(75\) −0.906001 + 6.30337i −0.104616 + 0.727851i
\(76\) −0.510474 + 0.608360i −0.0585554 + 0.0697837i
\(77\) −2.06353 + 1.32448i −0.235161 + 0.150938i
\(78\) −7.10532 2.33326i −0.804519 0.264190i
\(79\) −2.17885 12.3569i −0.245140 1.39026i −0.820168 0.572122i \(-0.806120\pi\)
0.575029 0.818133i \(-0.304991\pi\)
\(80\) 1.15037 0.128615
\(81\) 2.67382 + 8.59364i 0.297091 + 0.954849i
\(82\) 6.66123i 0.735609i
\(83\) −2.26883 12.8672i −0.249036 1.41236i −0.810928 0.585145i \(-0.801037\pi\)
0.561892 0.827211i \(-0.310074\pi\)
\(84\) 0.438013 4.56159i 0.0477912 0.497711i
\(85\) 4.93172 1.79500i 0.534920 0.194695i
\(86\) −1.89840 + 2.26242i −0.204710 + 0.243963i
\(87\) −1.93058 0.277487i −0.206980 0.0297498i
\(88\) 0.870883 + 0.316976i 0.0928365 + 0.0337897i
\(89\) −6.04165 10.4644i −0.640413 1.10923i −0.985341 0.170599i \(-0.945430\pi\)
0.344927 0.938629i \(-0.387904\pi\)
\(90\) 1.38394 + 3.16146i 0.145880 + 0.333247i
\(91\) −3.39821 + 10.9066i −0.356229 + 1.14333i
\(92\) 2.74761 + 3.27447i 0.286458 + 0.341387i
\(93\) −0.180040 5.66368i −0.0186693 0.587297i
\(94\) 1.50320 + 0.265055i 0.155043 + 0.0273383i
\(95\) −0.899694 0.158640i −0.0923067 0.0162762i
\(96\) −1.47173 + 0.913247i −0.150207 + 0.0932079i
\(97\) 3.91366 + 4.66412i 0.397372 + 0.473570i 0.927217 0.374525i \(-0.122194\pi\)
−0.529844 + 0.848095i \(0.677750\pi\)
\(98\) −6.97734 0.562750i −0.704818 0.0568464i
\(99\) 0.176587 + 2.77471i 0.0177476 + 0.278869i
\(100\) −1.83833 3.18408i −0.183833 0.318408i
\(101\) 5.99302 + 2.18128i 0.596327 + 0.217045i 0.622510 0.782612i \(-0.286113\pi\)
−0.0261827 + 0.999657i \(0.508335\pi\)
\(102\) −4.88441 + 6.21160i −0.483629 + 0.615040i
\(103\) −5.43804 + 6.48081i −0.535826 + 0.638573i −0.964247 0.265007i \(-0.914626\pi\)
0.428420 + 0.903580i \(0.359070\pi\)
\(104\) 4.05739 1.47677i 0.397860 0.144809i
\(105\) 4.79642 2.18739i 0.468082 0.213467i
\(106\) −1.06436 6.03627i −0.103380 0.586294i
\(107\) 3.96659i 0.383465i 0.981447 + 0.191733i \(0.0614106\pi\)
−0.981447 + 0.191733i \(0.938589\pi\)
\(108\) −4.28034 2.94596i −0.411876 0.283475i
\(109\) −3.76598 −0.360715 −0.180358 0.983601i \(-0.557725\pi\)
−0.180358 + 0.983601i \(0.557725\pi\)
\(110\) 0.185132 + 1.04993i 0.0176516 + 0.100107i
\(111\) 13.6130 12.1803i 1.29209 1.15610i
\(112\) 1.42912 + 2.22657i 0.135040 + 0.210391i
\(113\) 7.44407 8.87149i 0.700279 0.834560i −0.292279 0.956333i \(-0.594414\pi\)
0.992558 + 0.121773i \(0.0388580\pi\)
\(114\) 1.27697 0.511286i 0.119599 0.0478864i
\(115\) −1.68180 + 4.62072i −0.156829 + 0.430884i
\(116\) 0.975209 0.563037i 0.0905459 0.0522767i
\(117\) 8.93967 + 9.37398i 0.826473 + 0.866625i
\(118\) 0.610463 + 0.352451i 0.0561977 + 0.0324457i
\(119\) 9.60104 + 7.31551i 0.880126 + 0.670612i
\(120\) −1.75633 0.940920i −0.160331 0.0858938i
\(121\) 1.76098 9.98702i 0.160089 0.907911i
\(122\) −1.07761 + 6.11145i −0.0975625 + 0.553304i
\(123\) −5.44841 + 10.1701i −0.491267 + 0.917006i
\(124\) 2.10293 + 2.50618i 0.188849 + 0.225061i
\(125\) 4.99067 8.64410i 0.446379 0.773152i
\(126\) −4.39980 + 6.60619i −0.391966 + 0.588526i
\(127\) 9.65635 + 16.7253i 0.856862 + 1.48413i 0.874906 + 0.484292i \(0.160923\pi\)
−0.0180439 + 0.999837i \(0.505744\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 4.74890 1.90142i 0.418117 0.167411i
\(130\) 3.80497 + 3.19275i 0.333718 + 0.280023i
\(131\) 9.91874 3.61013i 0.866605 0.315418i 0.129813 0.991538i \(-0.458562\pi\)
0.736791 + 0.676120i \(0.236340\pi\)
\(132\) −1.07036 1.19627i −0.0931633 0.104122i
\(133\) −0.810655 1.93846i −0.0702927 0.168086i
\(134\) 0.150529i 0.0130038i
\(135\) 0.472918 5.95875i 0.0407023 0.512848i
\(136\) 4.56222i 0.391207i
\(137\) 10.4376 1.84042i 0.891740 0.157238i 0.291039 0.956711i \(-0.405999\pi\)
0.600702 + 0.799473i \(0.294888\pi\)
\(138\) −1.51665 7.24667i −0.129105 0.616878i
\(139\) −7.04355 19.3520i −0.597426 1.64141i −0.756383 0.654129i \(-0.773036\pi\)
0.158958 0.987285i \(-0.449187\pi\)
\(140\) −1.39620 + 2.70445i −0.118001 + 0.228568i
\(141\) −2.07823 1.63419i −0.175018 0.137623i
\(142\) −15.1409 5.51083i −1.27060 0.462459i
\(143\) 2.00081 + 3.46550i 0.167316 + 0.289799i
\(144\) 2.99394 0.190539i 0.249495 0.0158782i
\(145\) 1.12185 + 0.647700i 0.0931645 + 0.0537885i
\(146\) −5.00401 + 4.19886i −0.414135 + 0.347500i
\(147\) 10.1924 + 6.56616i 0.840657 + 0.541568i
\(148\) −1.83134 + 10.3861i −0.150535 + 0.853728i
\(149\) 18.9694 + 3.34481i 1.55403 + 0.274018i 0.883703 0.468048i \(-0.155042\pi\)
0.670328 + 0.742065i \(0.266154\pi\)
\(150\) 0.202332 + 6.36494i 0.0165203 + 0.519695i
\(151\) 9.84852 8.26389i 0.801461 0.672506i −0.147092 0.989123i \(-0.546991\pi\)
0.948553 + 0.316617i \(0.102547\pi\)
\(152\) −0.397079 + 0.687760i −0.0322073 + 0.0557847i
\(153\) 12.5380 5.48851i 1.01363 0.443720i
\(154\) −1.80218 + 1.66268i −0.145224 + 0.133983i
\(155\) −1.28720 + 3.53655i −0.103390 + 0.284063i
\(156\) −7.40254 1.06399i −0.592678 0.0851872i
\(157\) −11.9587 + 14.2518i −0.954406 + 1.13742i 0.0360175 + 0.999351i \(0.488533\pi\)
−0.990423 + 0.138065i \(0.955912\pi\)
\(158\) −4.29149 11.7908i −0.341413 0.938024i
\(159\) −3.31223 + 10.0865i −0.262677 + 0.799911i
\(160\) 1.13289 0.199759i 0.0895629 0.0157924i
\(161\) −11.0329 + 2.48523i −0.869511 + 0.195864i
\(162\) 4.12547 + 7.99878i 0.324127 + 0.628444i
\(163\) −12.3894 −0.970410 −0.485205 0.874401i \(-0.661255\pi\)
−0.485205 + 0.874401i \(0.661255\pi\)
\(164\) −1.15671 6.56003i −0.0903239 0.512252i
\(165\) 0.576121 1.75442i 0.0448510 0.136582i
\(166\) −4.46872 12.2777i −0.346840 0.952935i
\(167\) −2.95227 2.47725i −0.228454 0.191695i 0.521375 0.853328i \(-0.325419\pi\)
−0.749828 + 0.661633i \(0.769864\pi\)
\(168\) −0.360754 4.56835i −0.0278327 0.352456i
\(169\) 5.30291 + 1.93010i 0.407916 + 0.148469i
\(170\) 4.54510 2.62411i 0.348593 0.201260i
\(171\) −2.36782 0.263858i −0.181071 0.0201777i
\(172\) −1.47669 + 2.55771i −0.112597 + 0.195023i
\(173\) −14.1145 + 11.8435i −1.07311 + 0.900443i −0.995330 0.0965278i \(-0.969226\pi\)
−0.0777759 + 0.996971i \(0.524782\pi\)
\(174\) −1.94943 + 0.0619697i −0.147786 + 0.00469791i
\(175\) 9.71676 0.457283i 0.734518 0.0345673i
\(176\) 0.912695 + 0.160933i 0.0687970 + 0.0121308i
\(177\) −0.643749 1.03742i −0.0483872 0.0779775i
\(178\) −7.76699 9.25634i −0.582161 0.693792i
\(179\) −18.3066 10.5693i −1.36830 0.789989i −0.377590 0.925973i \(-0.623247\pi\)
−0.990711 + 0.135984i \(0.956580\pi\)
\(180\) 1.91189 + 2.87311i 0.142504 + 0.214149i
\(181\) −10.6192 + 6.13100i −0.789319 + 0.455713i −0.839723 0.543016i \(-0.817282\pi\)
0.0504039 + 0.998729i \(0.483949\pi\)
\(182\) −1.45266 + 11.3310i −0.107678 + 0.839913i
\(183\) 6.64399 8.44929i 0.491138 0.624589i
\(184\) 3.27447 + 2.74761i 0.241397 + 0.202556i
\(185\) −11.4004 + 4.14942i −0.838177 + 0.305072i
\(186\) −1.16079 5.54638i −0.0851135 0.406680i
\(187\) 4.16391 0.734210i 0.304495 0.0536907i
\(188\) 1.52639 0.111323
\(189\) 12.1208 6.48733i 0.881661 0.471884i
\(190\) −0.913573 −0.0662776
\(191\) 6.03024 1.06329i 0.436333 0.0769372i 0.0488327 0.998807i \(-0.484450\pi\)
0.387500 + 0.921870i \(0.373339\pi\)
\(192\) −1.29078 + 1.15494i −0.0931543 + 0.0833503i
\(193\) 22.4646 8.17645i 1.61704 0.588554i 0.634224 0.773149i \(-0.281320\pi\)
0.982815 + 0.184595i \(0.0590974\pi\)
\(194\) 4.66412 + 3.91366i 0.334865 + 0.280985i
\(195\) −3.19783 7.98676i −0.229001 0.571944i
\(196\) −6.96906 + 0.657402i −0.497790 + 0.0469573i
\(197\) −18.6694 + 10.7788i −1.33014 + 0.767956i −0.985321 0.170713i \(-0.945393\pi\)
−0.344818 + 0.938669i \(0.612059\pi\)
\(198\) 0.655727 + 2.70189i 0.0466005 + 0.192015i
\(199\) −4.91316 2.83662i −0.348285 0.201082i 0.315645 0.948877i \(-0.397779\pi\)
−0.663930 + 0.747795i \(0.731113\pi\)
\(200\) −2.36331 2.81648i −0.167111 0.199155i
\(201\) −0.123122 + 0.229822i −0.00868438 + 0.0162104i
\(202\) 6.28074 + 1.10746i 0.441912 + 0.0779210i
\(203\) 0.140055 + 2.97602i 0.00982995 + 0.208876i
\(204\) −3.73157 + 6.96540i −0.261262 + 0.487676i
\(205\) 5.87009 4.92559i 0.409985 0.344018i
\(206\) −4.23005 + 7.32666i −0.294721 + 0.510472i
\(207\) −3.61171 + 12.3044i −0.251031 + 0.855217i
\(208\) 3.73931 2.15889i 0.259274 0.149692i
\(209\) −0.691618 0.251728i −0.0478402 0.0174124i
\(210\) 4.34371 2.98704i 0.299745 0.206126i
\(211\) 8.52289 + 7.15155i 0.586740 + 0.492333i 0.887153 0.461476i \(-0.152680\pi\)
−0.300413 + 0.953809i \(0.597124\pi\)
\(212\) −2.09637 5.75974i −0.143980 0.395581i
\(213\) 18.6090 + 20.7979i 1.27507 + 1.42505i
\(214\) 0.688792 + 3.90633i 0.0470848 + 0.267031i
\(215\) −3.39748 −0.231706
\(216\) −4.72688 2.15793i −0.321623 0.146828i
\(217\) −8.44421 + 1.90212i −0.573230 + 0.129124i
\(218\) −3.70876 + 0.653955i −0.251189 + 0.0442914i
\(219\) 11.0743 2.31772i 0.748331 0.156617i
\(220\) 0.364639 + 1.00184i 0.0245839 + 0.0675438i
\(221\) 12.6621 15.0900i 0.851742 1.01507i
\(222\) 11.2911 14.3591i 0.757807 0.963719i
\(223\) 10.0557 27.6279i 0.673381 1.85010i 0.171444 0.985194i \(-0.445157\pi\)
0.501937 0.864904i \(-0.332621\pi\)
\(224\) 1.79405 + 1.94458i 0.119870 + 0.129927i
\(225\) 4.89716 9.88321i 0.326477 0.658881i
\(226\) 5.79046 10.0294i 0.385175 0.667143i
\(227\) −13.3769 + 11.2245i −0.887854 + 0.744998i −0.967778 0.251803i \(-0.918976\pi\)
0.0799249 + 0.996801i \(0.474532\pi\)
\(228\) 1.16878 0.725262i 0.0774045 0.0480316i
\(229\) 0.315348 + 0.0556043i 0.0208388 + 0.00367444i 0.184058 0.982915i \(-0.441077\pi\)
−0.163219 + 0.986590i \(0.552188\pi\)
\(230\) −0.853874 + 4.84256i −0.0563028 + 0.319309i
\(231\) 4.11146 1.06446i 0.270514 0.0700360i
\(232\) 0.862623 0.723827i 0.0566340 0.0475215i
\(233\) 1.42597 + 0.823285i 0.0934185 + 0.0539352i 0.545981 0.837797i \(-0.316157\pi\)
−0.452563 + 0.891732i \(0.649490\pi\)
\(234\) 10.4316 + 7.67921i 0.681937 + 0.502006i
\(235\) 0.877955 + 1.52066i 0.0572715 + 0.0991971i
\(236\) 0.662391 + 0.241091i 0.0431180 + 0.0156937i
\(237\) −3.09195 + 21.5118i −0.200844 + 1.39734i
\(238\) 10.7255 + 5.53717i 0.695231 + 0.358921i
\(239\) 1.13449 + 3.11699i 0.0733842 + 0.201621i 0.970962 0.239236i \(-0.0768968\pi\)
−0.897577 + 0.440857i \(0.854675\pi\)
\(240\) −1.89304 0.621641i −0.122195 0.0401268i
\(241\) 2.28746 0.403341i 0.147348 0.0259814i −0.0994875 0.995039i \(-0.531720\pi\)
0.246836 + 0.969057i \(0.420609\pi\)
\(242\) 10.1411i 0.651894i
\(243\) 0.243850 15.5865i 0.0156430 0.999878i
\(244\) 6.20572i 0.397281i
\(245\) −4.66343 6.56479i −0.297936 0.419409i
\(246\) −3.59962 + 10.9617i −0.229504 + 0.698892i
\(247\) −3.22220 + 1.17279i −0.205024 + 0.0746226i
\(248\) 2.50618 + 2.10293i 0.159142 + 0.133536i
\(249\) −3.21964 + 22.4002i −0.204037 + 1.41956i
\(250\) 3.41382 9.37940i 0.215909 0.593205i
\(251\) 13.5744 + 23.5116i 0.856811 + 1.48404i 0.874954 + 0.484205i \(0.160891\pi\)
−0.0181430 + 0.999835i \(0.505775\pi\)
\(252\) −3.18581 + 7.26984i −0.200687 + 0.457957i
\(253\) −1.98076 + 3.43077i −0.124529 + 0.215691i
\(254\) 12.4140 + 14.7944i 0.778921 + 0.928282i
\(255\) −9.08561 + 0.288818i −0.568963 + 0.0180865i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −1.33671 + 7.58084i −0.0833814 + 0.472880i 0.914313 + 0.405009i \(0.132732\pi\)
−0.997694 + 0.0678706i \(0.978380\pi\)
\(258\) 4.34658 2.69717i 0.270606 0.167918i
\(259\) −22.1943 16.9109i −1.37909 1.05080i
\(260\) 4.30158 + 2.48352i 0.266773 + 0.154021i
\(261\) 3.02700 + 1.49989i 0.187367 + 0.0928406i
\(262\) 9.14116 5.27765i 0.564743 0.326055i
\(263\) 4.38593 12.0503i 0.270448 0.743051i −0.727905 0.685678i \(-0.759506\pi\)
0.998353 0.0573722i \(-0.0182722\pi\)
\(264\) −1.26183 0.992225i −0.0776605 0.0610672i
\(265\) 4.53233 5.40142i 0.278419 0.331807i
\(266\) −1.13495 1.76824i −0.0695882 0.108418i
\(267\) 4.28729 + 20.4850i 0.262378 + 1.25366i
\(268\) −0.0261392 0.148242i −0.00159670 0.00905535i
\(269\) −4.85008 −0.295715 −0.147857 0.989009i \(-0.547238\pi\)
−0.147857 + 0.989009i \(0.547238\pi\)
\(270\) −0.568992 5.95035i −0.0346278 0.362126i
\(271\) 19.5627i 1.18835i −0.804335 0.594176i \(-0.797478\pi\)
0.804335 0.594176i \(-0.202522\pi\)
\(272\) −0.792221 4.49291i −0.0480354 0.272422i
\(273\) 11.4859 16.1116i 0.695155 0.975118i
\(274\) 9.95940 3.62492i 0.601669 0.218990i
\(275\) 2.19025 2.61024i 0.132077 0.157404i
\(276\) −2.75198 6.87322i −0.165650 0.413719i
\(277\) 12.0567 + 4.38828i 0.724417 + 0.263666i 0.677800 0.735246i \(-0.262934\pi\)
0.0466176 + 0.998913i \(0.485156\pi\)
\(278\) −10.2970 17.8349i −0.617572 1.06967i
\(279\) −2.76429 + 9.41742i −0.165494 + 0.563806i
\(280\) −0.905369 + 2.90581i −0.0541062 + 0.173655i
\(281\) −17.3811 20.7140i −1.03687 1.23569i −0.971303 0.237843i \(-0.923559\pi\)
−0.0655650 0.997848i \(-0.520885\pi\)
\(282\) −2.33043 1.24848i −0.138775 0.0743458i
\(283\) 25.3283 + 4.46607i 1.50561 + 0.265480i 0.864760 0.502185i \(-0.167470\pi\)
0.640852 + 0.767665i \(0.278581\pi\)
\(284\) −15.8678 2.79792i −0.941581 0.166026i
\(285\) 1.39481 + 0.747238i 0.0826212 + 0.0442626i
\(286\) 2.57219 + 3.06541i 0.152097 + 0.181262i
\(287\) 16.8261 + 5.24256i 0.993216 + 0.309458i
\(288\) 2.91537 0.707537i 0.171790 0.0416920i
\(289\) −1.90691 3.30286i −0.112171 0.194286i
\(290\) 1.21728 + 0.443053i 0.0714810 + 0.0260170i
\(291\) −3.91989 9.79014i −0.229788 0.573908i
\(292\) −4.19886 + 5.00401i −0.245720 + 0.292838i
\(293\) −11.7001 + 4.25851i −0.683530 + 0.248785i −0.660362 0.750947i \(-0.729597\pi\)
−0.0231675 + 0.999732i \(0.507375\pi\)
\(294\) 11.1778 + 4.69651i 0.651902 + 0.273906i
\(295\) 0.140811 + 0.798577i 0.00819832 + 0.0464950i
\(296\) 10.5463i 0.612990i
\(297\) 1.20882 4.66148i 0.0701429 0.270486i
\(298\) 19.2620 1.11582
\(299\) 3.20493 + 18.1760i 0.185346 + 1.05115i
\(300\) 1.30452 + 6.23310i 0.0753164 + 0.359868i
\(301\) −4.22076 6.57591i −0.243280 0.379029i
\(302\) 8.26389 9.84852i 0.475533 0.566719i
\(303\) −8.68335 6.82804i −0.498846 0.392260i
\(304\) −0.271618 + 0.746264i −0.0155783 + 0.0428012i
\(305\) −6.18244 + 3.56943i −0.354005 + 0.204385i
\(306\) 11.3944 7.58233i 0.651375 0.433453i
\(307\) −11.6597 6.73172i −0.665453 0.384200i 0.128898 0.991658i \(-0.458856\pi\)
−0.794352 + 0.607458i \(0.792189\pi\)
\(308\) −1.48608 + 1.95037i −0.0846774 + 0.111133i
\(309\) 12.4510 7.72616i 0.708310 0.439526i
\(310\) −0.653529 + 3.70635i −0.0371179 + 0.210506i
\(311\) −3.88220 + 22.0171i −0.220140 + 1.24847i 0.651622 + 0.758543i \(0.274089\pi\)
−0.871762 + 0.489930i \(0.837022\pi\)
\(312\) −7.47484 + 0.237614i −0.423180 + 0.0134523i
\(313\) 13.4246 + 15.9988i 0.758803 + 0.904306i 0.997772 0.0667214i \(-0.0212539\pi\)
−0.238969 + 0.971027i \(0.576809\pi\)
\(314\) −9.30219 + 16.1119i −0.524953 + 0.909245i
\(315\) −9.07499 + 1.00764i −0.511318 + 0.0567743i
\(316\) −6.27374 10.8664i −0.352926 0.611285i
\(317\) −8.35787 + 22.9631i −0.469425 + 1.28973i 0.448785 + 0.893640i \(0.351857\pi\)
−0.918210 + 0.396094i \(0.870365\pi\)
\(318\) −1.51040 + 10.5084i −0.0846993 + 0.589283i
\(319\) 0.799457 + 0.670824i 0.0447610 + 0.0375589i
\(320\) 1.08099 0.393449i 0.0604293 0.0219945i
\(321\) 2.14348 6.52741i 0.119638 0.364324i
\(322\) −10.4337 + 4.36331i −0.581447 + 0.243158i
\(323\) 3.62312i 0.201596i
\(324\) 5.45176 + 7.16088i 0.302876 + 0.397827i
\(325\) 15.8750i 0.880586i
\(326\) −12.2011 + 2.15139i −0.675759 + 0.119154i
\(327\) 6.19728 + 2.03508i 0.342710 + 0.112540i
\(328\) −2.27827 6.25951i −0.125797 0.345623i
\(329\) −1.85258 + 3.58845i −0.102136 + 0.197838i
\(330\) 0.262716 1.82781i 0.0144621 0.100618i
\(331\) −24.0446 8.75152i −1.32161 0.481027i −0.417636 0.908614i \(-0.637141\pi\)
−0.903974 + 0.427587i \(0.859364\pi\)
\(332\) −6.53284 11.3152i −0.358536 0.621002i
\(333\) −28.9835 + 12.6876i −1.58828 + 0.695274i
\(334\) −3.33759 1.92696i −0.182625 0.105438i
\(335\) 0.132651 0.111308i 0.00724752 0.00608139i
\(336\) −1.14856 4.43631i −0.0626590 0.242020i
\(337\) −1.10784 + 6.28289i −0.0603480 + 0.342251i 0.939652 + 0.342132i \(0.111149\pi\)
−1.00000 0.000118853i \(0.999962\pi\)
\(338\) 5.55751 + 0.979938i 0.302288 + 0.0533016i
\(339\) −17.0439 + 10.5762i −0.925700 + 0.574422i
\(340\) 4.02038 3.37350i 0.218035 0.182953i
\(341\) −1.51601 + 2.62580i −0.0820965 + 0.142195i
\(342\) −2.37766 + 0.151318i −0.128569 + 0.00818233i
\(343\) 6.91285 17.1818i 0.373259 0.927727i
\(344\) −1.01012 + 2.77527i −0.0544619 + 0.149633i
\(345\) 5.26453 6.69501i 0.283433 0.360447i
\(346\) −11.8435 + 14.1145i −0.636709 + 0.758801i
\(347\) 2.07632 + 5.70464i 0.111463 + 0.306241i 0.982865 0.184328i \(-0.0590110\pi\)
−0.871402 + 0.490570i \(0.836789\pi\)
\(348\) −1.90906 + 0.399544i −0.102336 + 0.0214178i
\(349\) −10.4569 + 1.84383i −0.559743 + 0.0986978i −0.446360 0.894854i \(-0.647280\pi\)
−0.113383 + 0.993551i \(0.536169\pi\)
\(350\) 9.48973 2.13763i 0.507247 0.114261i
\(351\) −9.64553 20.2566i −0.514840 1.08122i
\(352\) 0.926775 0.0493973
\(353\) −2.36199 13.3955i −0.125716 0.712972i −0.980880 0.194614i \(-0.937655\pi\)
0.855164 0.518358i \(-0.173457\pi\)
\(354\) −0.814116 0.909876i −0.0432698 0.0483594i
\(355\) −6.33949 17.4176i −0.336465 0.924430i
\(356\) −9.25634 7.76699i −0.490585 0.411650i
\(357\) −11.8462 17.2266i −0.626970 0.911730i
\(358\) −19.8638 7.22985i −1.04984 0.382109i
\(359\) −15.8836 + 9.17041i −0.838305 + 0.483996i −0.856688 0.515835i \(-0.827482\pi\)
0.0183825 + 0.999831i \(0.494148\pi\)
\(360\) 2.38176 + 2.49747i 0.125530 + 0.131628i
\(361\) −9.18466 + 15.9083i −0.483403 + 0.837279i
\(362\) −9.39323 + 7.88186i −0.493697 + 0.414261i
\(363\) −8.29469 + 15.4830i −0.435359 + 0.812646i
\(364\) 0.537023 + 11.4111i 0.0281477 + 0.598107i
\(365\) −7.40035 1.30488i −0.387352 0.0683006i
\(366\) 5.07584 9.47464i 0.265319 0.495247i
\(367\) 2.37679 + 2.83255i 0.124067 + 0.147858i 0.824502 0.565858i \(-0.191455\pi\)
−0.700435 + 0.713716i \(0.747011\pi\)
\(368\) 3.70184 + 2.13726i 0.192972 + 0.111412i
\(369\) 14.4616 13.7916i 0.752843 0.717962i
\(370\) −10.5067 + 6.06605i −0.546218 + 0.315359i
\(371\) 16.0852 + 2.06215i 0.835102 + 0.107062i
\(372\) −2.10628 5.26054i −0.109205 0.272747i
\(373\) −14.6959 12.3313i −0.760922 0.638490i 0.177444 0.984131i \(-0.443217\pi\)
−0.938367 + 0.345641i \(0.887661\pi\)
\(374\) 3.97316 1.44611i 0.205447 0.0747766i
\(375\) −12.8838 + 11.5278i −0.665315 + 0.595293i
\(376\) 1.50320 0.265055i 0.0775216 0.0136692i
\(377\) 4.86214 0.250413
\(378\) 10.8102 8.49353i 0.556016 0.436860i
\(379\) −3.29187 −0.169092 −0.0845461 0.996420i \(-0.526944\pi\)
−0.0845461 + 0.996420i \(0.526944\pi\)
\(380\) −0.899694 + 0.158640i −0.0461533 + 0.00813808i
\(381\) −6.85236 32.7412i −0.351057 1.67738i
\(382\) 5.75398 2.09428i 0.294399 0.107153i
\(383\) 9.42456 + 7.90814i 0.481572 + 0.404087i 0.850995 0.525174i \(-0.176000\pi\)
−0.369422 + 0.929262i \(0.620444\pi\)
\(384\) −1.07062 + 1.36153i −0.0546350 + 0.0694804i
\(385\) −2.79782 0.358686i −0.142590 0.0182803i
\(386\) 20.7035 11.9532i 1.05378 0.608401i
\(387\) −8.84227 + 0.562734i −0.449478 + 0.0286054i
\(388\) 5.27287 + 3.04429i 0.267689 + 0.154550i
\(389\) −13.0307 15.5293i −0.660681 0.787369i 0.326802 0.945093i \(-0.394029\pi\)
−0.987483 + 0.157724i \(0.949584\pi\)
\(390\) −4.53613 7.31012i −0.229696 0.370163i
\(391\) 19.2050 + 3.38636i 0.971239 + 0.171256i
\(392\) −6.74903 + 1.85758i −0.340877 + 0.0938219i
\(393\) −18.2731 + 0.580875i −0.921756 + 0.0293013i
\(394\) −16.5140 + 13.8569i −0.831966 + 0.698102i
\(395\) 7.21711 12.5004i 0.363132 0.628964i
\(396\) 1.11494 + 2.54698i 0.0560280 + 0.127990i
\(397\) 17.5042 10.1061i 0.878510 0.507208i 0.00834342 0.999965i \(-0.497344\pi\)
0.870167 + 0.492757i \(0.164011\pi\)
\(398\) −5.33109 1.94036i −0.267224 0.0972614i
\(399\) 0.286495 + 3.62799i 0.0143427 + 0.181627i
\(400\) −2.81648 2.36331i −0.140824 0.118165i
\(401\) −0.374606 1.02922i −0.0187069 0.0513969i 0.929988 0.367591i \(-0.119817\pi\)
−0.948695 + 0.316194i \(0.897595\pi\)
\(402\) −0.0813437 + 0.247710i −0.00405706 + 0.0123547i
\(403\) 2.45295 + 13.9114i 0.122190 + 0.692975i
\(404\) 6.37764 0.317299
\(405\) −3.99825 + 9.55014i −0.198675 + 0.474550i
\(406\) 0.654708 + 2.90649i 0.0324926 + 0.144246i
\(407\) −9.62553 + 1.69724i −0.477120 + 0.0841291i
\(408\) −2.46535 + 7.50756i −0.122053 + 0.371680i
\(409\) −5.67973 15.6049i −0.280845 0.771614i −0.997262 0.0739429i \(-0.976442\pi\)
0.716418 0.697672i \(-0.245780\pi\)
\(410\) 4.92559 5.87009i 0.243258 0.289903i
\(411\) −18.1705 2.61170i −0.896286 0.128826i
\(412\) −2.89352 + 7.94989i −0.142554 + 0.391663i
\(413\) −1.37074 + 1.26463i −0.0674495 + 0.0622284i
\(414\) −1.42020 + 12.7447i −0.0697991 + 0.626366i
\(415\) 7.51517 13.0166i 0.368905 0.638962i
\(416\) 3.30761 2.77542i 0.162169 0.136076i
\(417\) 1.13332 + 35.6518i 0.0554988 + 1.74587i
\(418\) −0.724823 0.127806i −0.0354523 0.00625119i
\(419\) 3.12027 17.6960i 0.152435 0.864504i −0.808658 0.588279i \(-0.799806\pi\)
0.961093 0.276225i \(-0.0890833\pi\)
\(420\) 3.75903 3.69594i 0.183422 0.180344i
\(421\) −4.60854 + 3.86703i −0.224607 + 0.188467i −0.748146 0.663534i \(-0.769056\pi\)
0.523539 + 0.852001i \(0.324611\pi\)
\(422\) 9.63526 + 5.56292i 0.469037 + 0.270799i
\(423\) 2.53683 + 3.81225i 0.123345 + 0.185358i
\(424\) −3.06469 5.30821i −0.148835 0.257789i
\(425\) −15.7621 5.73694i −0.764575 0.278282i
\(426\) 21.9378 + 17.2505i 1.06289 + 0.835790i
\(427\) −14.5893 7.53190i −0.706026 0.364494i
\(428\) 1.35665 + 3.72738i 0.0655764 + 0.180170i
\(429\) −1.41982 6.78401i −0.0685494 0.327535i
\(430\) −3.34586 + 0.589966i −0.161352 + 0.0284507i
\(431\) 15.0976i 0.727225i −0.931550 0.363613i \(-0.881543\pi\)
0.931550 0.363613i \(-0.118457\pi\)
\(432\) −5.02978 1.30433i −0.241996 0.0627546i
\(433\) 33.6460i 1.61692i 0.588550 + 0.808461i \(0.299699\pi\)
−0.588550 + 0.808461i \(0.700301\pi\)
\(434\) −7.98562 + 3.33954i −0.383322 + 0.160303i
\(435\) −1.49610 1.67208i −0.0717326 0.0801702i
\(436\) −3.53886 + 1.28804i −0.169481 + 0.0616859i
\(437\) −2.60044 2.18203i −0.124396 0.104381i
\(438\) 10.5036 4.20554i 0.501880 0.200949i
\(439\) −4.30033 + 11.8150i −0.205243 + 0.563902i −0.999018 0.0443108i \(-0.985891\pi\)
0.793774 + 0.608212i \(0.208113\pi\)
\(440\) 0.533066 + 0.923297i 0.0254129 + 0.0440165i
\(441\) −13.2244 16.3131i −0.629732 0.776813i
\(442\) 9.84933 17.0595i 0.468485 0.811439i
\(443\) 0.885913 + 1.05579i 0.0420910 + 0.0501621i 0.786679 0.617362i \(-0.211799\pi\)
−0.744588 + 0.667524i \(0.767354\pi\)
\(444\) 8.62611 16.1016i 0.409377 0.764149i
\(445\) 2.41375 13.6891i 0.114423 0.648924i
\(446\) 5.10542 28.9543i 0.241749 1.37103i
\(447\) −29.4084 15.7550i −1.39097 0.745184i
\(448\) 2.10447 + 1.60350i 0.0994268 + 0.0757582i
\(449\) 5.55245 + 3.20571i 0.262036 + 0.151287i 0.625263 0.780414i \(-0.284992\pi\)
−0.363227 + 0.931701i \(0.618325\pi\)
\(450\) 3.10655 10.5834i 0.146444 0.498908i
\(451\) 5.34637 3.08673i 0.251751 0.145348i
\(452\) 3.96091 10.8825i 0.186305 0.511870i
\(453\) −20.6724 + 8.27703i −0.971272 + 0.388889i
\(454\) −11.2245 + 13.3769i −0.526793 + 0.627807i
\(455\) −11.0594 + 7.09852i −0.518475 + 0.332784i
\(456\) 1.02509 0.917200i 0.0480040 0.0429518i
\(457\) 6.87694 + 39.0011i 0.321690 + 1.82439i 0.531984 + 0.846754i \(0.321447\pi\)
−0.210294 + 0.977638i \(0.567442\pi\)
\(458\) 0.320213 0.0149626
\(459\) −23.5983 + 2.25655i −1.10148 + 0.105327i
\(460\) 4.91727i 0.229269i
\(461\) −0.422916 2.39847i −0.0196971 0.111708i 0.973374 0.229223i \(-0.0736184\pi\)
−0.993071 + 0.117515i \(0.962507\pi\)
\(462\) 3.86415 1.76223i 0.179777 0.0819864i
\(463\) 2.04849 0.745590i 0.0952015 0.0346505i −0.293980 0.955811i \(-0.594980\pi\)
0.389182 + 0.921161i \(0.372758\pi\)
\(464\) 0.723827 0.862623i 0.0336028 0.0400463i
\(465\) 4.02931 5.12415i 0.186855 0.237627i
\(466\) 1.54727 + 0.563160i 0.0716759 + 0.0260879i
\(467\) 2.83421 + 4.90900i 0.131152 + 0.227162i 0.924121 0.382100i \(-0.124799\pi\)
−0.792969 + 0.609262i \(0.791466\pi\)
\(468\) 11.6066 + 5.75111i 0.536517 + 0.265845i
\(469\) 0.380235 + 0.118470i 0.0175576 + 0.00547046i
\(470\) 1.12868 + 1.34510i 0.0520620 + 0.0620451i
\(471\) 27.3806 16.9904i 1.26163 0.782876i
\(472\) 0.694193 + 0.122405i 0.0319528 + 0.00563414i
\(473\) −2.69554 0.475296i −0.123941 0.0218541i
\(474\) 0.690508 + 21.7219i 0.0317161 + 0.997720i
\(475\) 1.87684 + 2.23673i 0.0861152 + 0.102628i
\(476\) 11.5241 + 3.59058i 0.528205 + 0.164574i
\(477\) 10.9012 14.8084i 0.499130 0.678031i
\(478\) 1.65852 + 2.87264i 0.0758588 + 0.131391i
\(479\) 39.1469 + 14.2483i 1.78867 + 0.651021i 0.999312 + 0.0370820i \(0.0118063\pi\)
0.789353 + 0.613939i \(0.210416\pi\)
\(480\) −1.97223 0.283474i −0.0900195 0.0129387i
\(481\) −29.2703 + 34.8830i −1.33461 + 1.59053i
\(482\) 2.18267 0.794426i 0.0994178 0.0361851i
\(483\) 19.4986 + 1.87230i 0.887218 + 0.0851924i
\(484\) −1.76098 9.98702i −0.0800446 0.453956i
\(485\) 7.00411i 0.318040i
\(486\) −2.46643 15.3921i −0.111880 0.698200i
\(487\) 42.5292 1.92718 0.963591 0.267379i \(-0.0861577\pi\)
0.963591 + 0.267379i \(0.0861577\pi\)
\(488\) 1.07761 + 6.11145i 0.0487812 + 0.276652i
\(489\) 20.3879 + 6.69502i 0.921972 + 0.302759i
\(490\) −5.73254 5.65526i −0.258970 0.255478i
\(491\) −22.6956 + 27.0475i −1.02424 + 1.22064i −0.0491542 + 0.998791i \(0.515653\pi\)
−0.975082 + 0.221846i \(0.928792\pi\)
\(492\) −1.64146 + 11.4202i −0.0740027 + 0.514863i
\(493\) 1.75709 4.82757i 0.0791355 0.217423i
\(494\) −2.96960 + 1.71450i −0.133609 + 0.0771390i
\(495\) −1.89612 + 2.57574i −0.0852245 + 0.115771i
\(496\) 2.83327 + 1.63579i 0.127218 + 0.0734492i
\(497\) 25.8365 33.9085i 1.15893 1.52100i
\(498\) 0.719025 + 22.6190i 0.0322203 + 1.01358i
\(499\) −4.32518 + 24.5293i −0.193622 + 1.09808i 0.720747 + 0.693199i \(0.243799\pi\)
−0.914368 + 0.404884i \(0.867312\pi\)
\(500\) 1.73324 9.82971i 0.0775130 0.439598i
\(501\) 3.51958 + 5.67191i 0.157243 + 0.253402i
\(502\) 17.4510 + 20.7973i 0.778875 + 0.928227i
\(503\) −6.72929 + 11.6555i −0.300044 + 0.519692i −0.976146 0.217117i \(-0.930335\pi\)
0.676101 + 0.736809i \(0.263668\pi\)
\(504\) −1.87501 + 7.71261i −0.0835197 + 0.343547i
\(505\) 3.66831 + 6.35371i 0.163238 + 0.282736i
\(506\) −1.35492 + 3.72260i −0.0602334 + 0.165490i
\(507\) −7.68345 6.04178i −0.341234 0.268325i
\(508\) 14.7944 + 12.4140i 0.656395 + 0.550781i
\(509\) 38.0354 13.8437i 1.68589 0.613613i 0.691791 0.722098i \(-0.256822\pi\)
0.994098 + 0.108485i \(0.0345999\pi\)
\(510\) −8.89742 + 1.86213i −0.393985 + 0.0824565i
\(511\) −6.66797 15.9447i −0.294974 0.705350i
\(512\) 1.00000i 0.0441942i
\(513\) 3.75388 + 1.71373i 0.165738 + 0.0756632i
\(514\) 7.69778i 0.339535i
\(515\) −9.58437 + 1.68998i −0.422338 + 0.0744695i
\(516\) 3.81218 3.41097i 0.167822 0.150160i
\(517\) 0.483828 + 1.32931i 0.0212787 + 0.0584628i
\(518\) −24.7937 12.8000i −1.08937 0.562401i
\(519\) 29.6268 11.8623i 1.30047 0.520698i
\(520\) 4.66749 + 1.69883i 0.204683 + 0.0744985i
\(521\) −9.92445 17.1896i −0.434798 0.753092i 0.562481 0.826810i \(-0.309847\pi\)
−0.997279 + 0.0737180i \(0.976514\pi\)
\(522\) 3.24147 + 0.951466i 0.141875 + 0.0416445i
\(523\) 14.7980 + 8.54363i 0.647071 + 0.373587i 0.787333 0.616528i \(-0.211461\pi\)
−0.140262 + 0.990114i \(0.544795\pi\)
\(524\) 8.08583 6.78482i 0.353231 0.296396i
\(525\) −16.2370 4.49828i −0.708639 0.196321i
\(526\) 2.22680 12.6288i 0.0970930 0.550642i
\(527\) 14.6989 + 2.59181i 0.640294 + 0.112901i
\(528\) −1.41496 0.758036i −0.0615783 0.0329893i
\(529\) 3.62225 3.03943i 0.157489 0.132149i
\(530\) 3.52553 6.10639i 0.153139 0.265245i
\(531\) 0.498744 + 2.05505i 0.0216436 + 0.0891816i
\(532\) −1.42476 1.54430i −0.0617712 0.0669539i
\(533\) 9.83709 27.0272i 0.426092 1.17068i
\(534\) 7.77935 + 19.4294i 0.336645 + 0.840790i
\(535\) −2.93307 + 3.49549i −0.126808 + 0.151123i
\(536\) −0.0514841 0.141451i −0.00222377 0.00610977i
\(537\) 24.4138 + 27.2855i 1.05353 + 1.17745i
\(538\) −4.77640 + 0.842208i −0.205925 + 0.0363102i
\(539\) −2.78154 5.86086i −0.119810 0.252445i
\(540\) −1.59361 5.76114i −0.0685783 0.247920i
\(541\) −16.3856 −0.704471 −0.352236 0.935911i \(-0.614578\pi\)
−0.352236 + 0.935911i \(0.614578\pi\)
\(542\) −3.39703 19.2655i −0.145915 0.827526i
\(543\) 20.7880 4.35069i 0.892098 0.186706i
\(544\) −1.56037 4.28708i −0.0669003 0.183807i
\(545\) −3.31870 2.78472i −0.142158 0.119284i
\(546\) 8.51361 17.8613i 0.364349 0.764394i
\(547\) 28.2884 + 10.2961i 1.20952 + 0.440231i 0.866539 0.499110i \(-0.166340\pi\)
0.342985 + 0.939341i \(0.388562\pi\)
\(548\) 9.17863 5.29928i 0.392092 0.226374i
\(549\) −15.4992 + 10.3138i −0.661489 + 0.440183i
\(550\) 1.70371 2.95092i 0.0726466 0.125828i
\(551\) −0.685058 + 0.574832i −0.0291845 + 0.0244887i
\(552\) −3.90369 6.29092i −0.166152 0.267759i
\(553\) 33.1608 1.56059i 1.41014 0.0663631i
\(554\) 12.6356 + 2.22799i 0.536833 + 0.0946582i
\(555\) 21.0028 0.667649i 0.891519 0.0283401i
\(556\) −13.2375 15.7759i −0.561397 0.669046i
\(557\) 30.5051 + 17.6121i 1.29254 + 0.746250i 0.979104 0.203358i \(-0.0651857\pi\)
0.313439 + 0.949608i \(0.398519\pi\)
\(558\) −1.08698 + 9.75437i −0.0460155 + 0.412935i
\(559\) −11.0436 + 6.37604i −0.467095 + 0.269678i
\(560\) −0.387026 + 3.01888i −0.0163548 + 0.127571i
\(561\) −7.24887 1.04190i −0.306047 0.0439891i
\(562\) −20.7140 17.3811i −0.873766 0.733177i
\(563\) 8.65753 3.15108i 0.364871 0.132802i −0.153077 0.988214i \(-0.548918\pi\)
0.517948 + 0.855412i \(0.326696\pi\)
\(564\) −2.51182 0.824837i −0.105767 0.0347319i
\(565\) 13.1199 2.31340i 0.551959 0.0973253i
\(566\) 25.7190 1.08105
\(567\) −23.4516 + 4.12561i −0.984876 + 0.173259i
\(568\) −16.1126 −0.676070
\(569\) −2.13966 + 0.377280i −0.0896992 + 0.0158164i −0.218318 0.975878i \(-0.570057\pi\)
0.128618 + 0.991694i \(0.458946\pi\)
\(570\) 1.50337 + 0.493681i 0.0629693 + 0.0206780i
\(571\) −4.32364 + 1.57368i −0.180939 + 0.0658564i −0.430901 0.902399i \(-0.641804\pi\)
0.249962 + 0.968256i \(0.419582\pi\)
\(572\) 3.06541 + 2.57219i 0.128171 + 0.107548i
\(573\) −10.4979 1.50889i −0.438557 0.0630350i
\(574\) 17.4809 + 2.24108i 0.729638 + 0.0935409i
\(575\) 13.6104 7.85796i 0.567592 0.327699i
\(576\) 2.74822 1.20304i 0.114509 0.0501265i
\(577\) −14.5135 8.37937i −0.604204 0.348838i 0.166489 0.986043i \(-0.446757\pi\)
−0.770694 + 0.637206i \(0.780090\pi\)
\(578\) −2.45147 2.92155i −0.101968 0.121521i
\(579\) −41.3861 + 1.31560i −1.71995 + 0.0546747i
\(580\) 1.27572 + 0.224944i 0.0529714 + 0.00934028i
\(581\) 34.5303 1.62504i 1.43256 0.0674180i
\(582\) −5.56038 8.96073i −0.230485 0.371434i
\(583\) 4.35156 3.65140i 0.180223 0.151225i
\(584\) −3.26614 + 5.65711i −0.135154 + 0.234093i
\(585\) 0.946414 + 14.8710i 0.0391294 + 0.614841i
\(586\) −10.7829 + 6.22552i −0.445438 + 0.257174i
\(587\) −8.89249 3.23660i −0.367032 0.133589i 0.151918 0.988393i \(-0.451455\pi\)
−0.518951 + 0.854804i \(0.673677\pi\)
\(588\) 11.8235 + 2.68415i 0.487593 + 0.110693i
\(589\) −1.99030 1.67006i −0.0820088 0.0688136i
\(590\) 0.277343 + 0.761993i 0.0114180 + 0.0313708i
\(591\) 36.5470 7.64886i 1.50334 0.314632i
\(592\) 1.83134 + 10.3861i 0.0752677 + 0.426864i
\(593\) −47.5778 −1.95379 −0.976893 0.213727i \(-0.931440\pi\)
−0.976893 + 0.213727i \(0.931440\pi\)
\(594\) 0.380999 4.80057i 0.0156326 0.196970i
\(595\) 3.05136 + 13.5461i 0.125093 + 0.555335i
\(596\) 18.9694 3.34481i 0.777016 0.137009i
\(597\) 6.55222 + 7.32292i 0.268164 + 0.299707i
\(598\) 6.31247 + 17.3434i 0.258136 + 0.709223i
\(599\) 2.64821 3.15602i 0.108203 0.128951i −0.709225 0.704982i \(-0.750955\pi\)
0.817428 + 0.576031i \(0.195399\pi\)
\(600\) 2.36707 + 5.91188i 0.0966351 + 0.241352i
\(601\) −12.0190 + 33.0219i −0.490265 + 1.34699i 0.410174 + 0.912008i \(0.365468\pi\)
−0.900438 + 0.434984i \(0.856754\pi\)
\(602\) −5.29853 5.74308i −0.215952 0.234071i
\(603\) 0.326802 0.311661i 0.0133084 0.0126918i
\(604\) 6.42816 11.1339i 0.261558 0.453032i
\(605\) 8.93666 7.49875i 0.363327 0.304868i
\(606\) −9.73711 5.21646i −0.395543 0.211904i
\(607\) −22.8117 4.02232i −0.925899 0.163261i −0.309685 0.950839i \(-0.600223\pi\)
−0.616215 + 0.787578i \(0.711335\pi\)
\(608\) −0.137904 + 0.782092i −0.00559274 + 0.0317180i
\(609\) 1.37772 4.97301i 0.0558280 0.201516i
\(610\) −5.46869 + 4.58878i −0.221421 + 0.185794i
\(611\) 5.70764 + 3.29531i 0.230906 + 0.133314i
\(612\) 9.90465 9.44575i 0.400372 0.381822i
\(613\) −9.08034 15.7276i −0.366752 0.635232i 0.622304 0.782776i \(-0.286197\pi\)
−0.989056 + 0.147543i \(0.952863\pi\)
\(614\) −12.6515 4.60477i −0.510573 0.185833i
\(615\) −12.3215 + 4.93343i −0.496851 + 0.198935i
\(616\) −1.12483 + 2.17879i −0.0453206 + 0.0877861i
\(617\) 0.206906 + 0.568468i 0.00832971 + 0.0228857i 0.943788 0.330552i \(-0.107235\pi\)
−0.935458 + 0.353438i \(0.885013\pi\)
\(618\) 10.9202 9.77086i 0.439273 0.393042i
\(619\) 2.71439 0.478620i 0.109100 0.0192373i −0.118831 0.992914i \(-0.537915\pi\)
0.227932 + 0.973677i \(0.426804\pi\)
\(620\) 3.76352i 0.151147i
\(621\) 12.5925 18.2964i 0.505321 0.734209i
\(622\) 22.3567i 0.896423i
\(623\) 29.4942 12.3343i 1.18166 0.494164i
\(624\) −7.32002 + 1.53200i −0.293035 + 0.0613290i
\(625\) −6.48486 + 2.36030i −0.259394 + 0.0944119i
\(626\) 15.9988 + 13.4246i 0.639441 + 0.536555i
\(627\) 1.00209 + 0.787983i 0.0400198 + 0.0314690i
\(628\) −6.36307 + 17.4824i −0.253914 + 0.697624i
\(629\) 24.0572 + 41.6683i 0.959223 + 1.66142i
\(630\) −8.76215 + 2.56819i −0.349092 + 0.102319i
\(631\) 15.0925 26.1410i 0.600824 1.04066i −0.391872 0.920020i \(-0.628172\pi\)
0.992696 0.120639i \(-0.0384942\pi\)
\(632\) −8.06537 9.61193i −0.320823 0.382342i
\(633\) −10.1606 16.3742i −0.403849 0.650816i
\(634\) −4.24340 + 24.0655i −0.168527 + 0.955764i
\(635\) −3.85789 + 21.8792i −0.153096 + 0.868249i
\(636\) 0.337310 + 10.6111i 0.0133752 + 0.420756i
\(637\) −27.4787 12.5872i −1.08875 0.498724i
\(638\) 0.903799 + 0.521808i 0.0357817 + 0.0206586i
\(639\) −19.3840 44.2809i −0.766821 1.75173i
\(640\) 0.996248 0.575184i 0.0393802 0.0227361i
\(641\) 6.85418 18.8317i 0.270724 0.743807i −0.727604 0.685997i \(-0.759366\pi\)
0.998328 0.0578097i \(-0.0184117\pi\)
\(642\) 0.977448 6.80045i 0.0385768 0.268393i
\(643\) 13.3245 15.8795i 0.525466 0.626226i −0.436398 0.899754i \(-0.643746\pi\)
0.961864 + 0.273528i \(0.0881905\pi\)
\(644\) −9.51750 + 6.10882i −0.375042 + 0.240721i
\(645\) 5.59088 + 1.83595i 0.220141 + 0.0722903i
\(646\) 0.629148 + 3.56807i 0.0247535 + 0.140384i
\(647\) 5.97287 0.234818 0.117409 0.993084i \(-0.462541\pi\)
0.117409 + 0.993084i \(0.462541\pi\)
\(648\) 6.61241 + 6.10541i 0.259760 + 0.239843i
\(649\) 0.653285i 0.0256437i
\(650\) −2.75666 15.6338i −0.108125 0.613208i
\(651\) 14.9236 + 1.43300i 0.584903 + 0.0561635i
\(652\) −11.6422 + 4.23741i −0.455943 + 0.165950i
\(653\) −31.6331 + 37.6988i −1.23790 + 1.47527i −0.412264 + 0.911065i \(0.635262\pi\)
−0.825635 + 0.564205i \(0.809183\pi\)
\(654\) 6.45651 + 0.928012i 0.252470 + 0.0362882i
\(655\) 11.4102 + 4.15298i 0.445834 + 0.162270i
\(656\) −3.33061 5.76879i −0.130039 0.225233i
\(657\) −19.4763 2.17034i −0.759841 0.0846730i
\(658\) −1.20131 + 3.85563i −0.0468318 + 0.150308i
\(659\) 13.3461 + 15.9053i 0.519892 + 0.619583i 0.960555 0.278089i \(-0.0897011\pi\)
−0.440663 + 0.897673i \(0.645257\pi\)
\(660\) −0.0586709 1.84566i −0.00228376 0.0718423i
\(661\) 18.2615 + 3.21999i 0.710289 + 0.125243i 0.517108 0.855920i \(-0.327008\pi\)
0.193181 + 0.981163i \(0.438120\pi\)
\(662\) −25.1990 4.44326i −0.979386 0.172692i
\(663\) −28.9910 + 17.9897i −1.12592 + 0.698663i
\(664\) −8.39845 10.0089i −0.325923 0.388420i
\(665\) 0.719006 2.30767i 0.0278818 0.0894876i
\(666\) −26.3400 + 17.5277i −1.02065 + 0.679186i
\(667\) 2.40671 + 4.16855i 0.0931882 + 0.161407i
\(668\) −3.62150 1.31812i −0.140120 0.0509995i
\(669\) −31.4773 + 40.0303i −1.21698 + 1.54766i
\(670\) 0.111308 0.132651i 0.00430020 0.00512477i
\(671\) −5.40446 + 1.96706i −0.208637 + 0.0759376i
\(672\) −1.90147 4.16946i −0.0733507 0.160841i
\(673\) 2.06397 + 11.7053i 0.0795601 + 0.451208i 0.998398 + 0.0565737i \(0.0180176\pi\)
−0.918838 + 0.394634i \(0.870871\pi\)
\(674\) 6.37981i 0.245741i
\(675\) −13.3995 + 13.6174i −0.515746 + 0.524135i
\(676\) 5.64324 0.217048
\(677\) 2.23220 + 12.6594i 0.0857904 + 0.486541i 0.997183 + 0.0750039i \(0.0238969\pi\)
−0.911393 + 0.411537i \(0.864992\pi\)
\(678\) −14.9485 + 13.3752i −0.574092 + 0.513672i
\(679\) −13.5566 + 8.70134i −0.520256 + 0.333927i
\(680\) 3.37350 4.02038i 0.129368 0.154174i
\(681\) 28.0785 11.2424i 1.07597 0.430809i
\(682\) −1.03701 + 2.84917i −0.0397092 + 0.109100i
\(683\) 18.6286 10.7552i 0.712804 0.411538i −0.0992942 0.995058i \(-0.531659\pi\)
0.812098 + 0.583520i \(0.198325\pi\)
\(684\) −2.31526 + 0.561896i −0.0885263 + 0.0214846i
\(685\) 10.5588 + 6.09613i 0.403431 + 0.232921i
\(686\) 3.82425 18.1211i 0.146010 0.691868i
\(687\) −0.488887 0.261911i −0.0186522 0.00999254i
\(688\) −0.512850 + 2.90852i −0.0195522 + 0.110886i
\(689\) 4.59566 26.0633i 0.175081 0.992933i
\(690\) 4.02198 7.50748i 0.153114 0.285805i
\(691\) 13.6930 + 16.3187i 0.520908 + 0.620794i 0.960795 0.277259i \(-0.0894260\pi\)
−0.439887 + 0.898053i \(0.644982\pi\)
\(692\) −9.21259 + 15.9567i −0.350210 + 0.606582i
\(693\) −7.34101 0.470103i −0.278862 0.0178577i
\(694\) 3.03538 + 5.25743i 0.115221 + 0.199569i
\(695\) 8.10267 22.2619i 0.307352 0.844442i
\(696\) −1.81067 + 0.724978i −0.0686334 + 0.0274802i
\(697\) −23.2801 19.5343i −0.881795 0.739914i
\(698\) −9.97782 + 3.63163i −0.377666 + 0.137459i
\(699\) −1.90168 2.12537i −0.0719282 0.0803888i
\(700\) 8.97436 3.75303i 0.339199 0.141851i
\(701\) 27.0367i 1.02116i 0.859829 + 0.510582i \(0.170570\pi\)
−0.859829 + 0.510582i \(0.829430\pi\)
\(702\) −13.0165 18.2740i −0.491277 0.689706i
\(703\) 8.37540i 0.315884i
\(704\) 0.912695 0.160933i 0.0343985 0.00606538i
\(705\) −0.623016 2.97683i −0.0234642 0.112114i
\(706\) −4.65222 12.7819i −0.175089 0.481052i
\(707\) −7.74055 + 14.9935i −0.291113 + 0.563887i
\(708\) −0.959746 0.754683i −0.0360695 0.0283627i
\(709\) 31.8767 + 11.6022i 1.19715 + 0.435728i 0.862230 0.506517i \(-0.169067\pi\)
0.334924 + 0.942245i \(0.391289\pi\)
\(710\) −9.26771 16.0521i −0.347811 0.602426i
\(711\) 16.7127 33.7289i 0.626777 1.26493i
\(712\) −10.4644 6.04165i −0.392171 0.226420i
\(713\) −10.7127 + 8.98902i −0.401194 + 0.336641i
\(714\) −14.6576 14.9078i −0.548549 0.557912i
\(715\) −0.799359 + 4.53339i −0.0298943 + 0.169539i
\(716\) −20.8175 3.67069i −0.777987 0.137180i
\(717\) −0.182542 5.74237i −0.00681714 0.214453i
\(718\) −14.0499 + 11.7893i −0.524337 + 0.439971i
\(719\) 25.2093 43.6637i 0.940147 1.62838i 0.174959 0.984576i \(-0.444021\pi\)
0.765188 0.643807i \(-0.222646\pi\)
\(720\) 2.77925 + 2.04594i 0.103577 + 0.0762476i
\(721\) −15.1779 16.4513i −0.565253 0.612678i
\(722\) −6.28268 + 17.2615i −0.233817 + 0.642407i
\(723\) −3.98219 0.572371i −0.148099 0.0212867i
\(724\) −7.88186 + 9.39323i −0.292927 + 0.349097i
\(725\) −1.41603 3.89050i −0.0525899 0.144490i
\(726\) −5.48009 + 16.6881i −0.203385 + 0.619355i
\(727\) 11.6409 2.05260i 0.431736 0.0761267i 0.0464430 0.998921i \(-0.485211\pi\)
0.385293 + 0.922794i \(0.374100\pi\)
\(728\) 2.51039 + 11.1445i 0.0930412 + 0.413044i
\(729\) −8.82401 + 25.5174i −0.326815 + 0.945088i
\(730\) −7.51452 −0.278125
\(731\) 2.33973 + 13.2693i 0.0865381 + 0.490782i
\(732\) 3.35348 10.2121i 0.123948 0.377451i
\(733\) −5.59468 15.3712i −0.206644 0.567750i 0.792467 0.609915i \(-0.208797\pi\)
−0.999111 + 0.0421654i \(0.986574\pi\)
\(734\) 2.83255 + 2.37679i 0.104551 + 0.0877288i
\(735\) 4.12661 + 13.3230i 0.152212 + 0.491427i
\(736\) 4.01673 + 1.46197i 0.148059 + 0.0538890i
\(737\) 0.120816 0.0697534i 0.00445033 0.00256940i
\(738\) 11.8470 16.0933i 0.436096 0.592403i
\(739\) 14.3118 24.7888i 0.526469 0.911872i −0.473055 0.881033i \(-0.656849\pi\)
0.999524 0.0308387i \(-0.00981783\pi\)
\(740\) −9.29373 + 7.79836i −0.341644 + 0.286674i
\(741\) 5.93620 0.188703i 0.218072 0.00693219i
\(742\) 16.1989 0.762342i 0.594681 0.0279864i
\(743\) −35.8446 6.32038i −1.31501 0.231872i −0.528229 0.849102i \(-0.677144\pi\)
−0.786783 + 0.617230i \(0.788255\pi\)
\(744\) −2.98776 4.81487i −0.109537 0.176522i
\(745\) 14.2431 + 16.9743i 0.521828 + 0.621891i
\(746\) −16.6139 9.59204i −0.608278 0.351189i
\(747\) 17.4030 35.1218i 0.636741 1.28504i
\(748\) 3.66168 2.11407i 0.133884 0.0772982i
\(749\) −10.4094 1.33451i −0.380352 0.0487618i
\(750\) −10.6862 + 13.5899i −0.390207 + 0.496234i
\(751\) 0.933392 + 0.783209i 0.0340600 + 0.0285797i 0.659659 0.751565i \(-0.270701\pi\)
−0.625599 + 0.780145i \(0.715145\pi\)
\(752\) 1.43434 0.522056i 0.0523049 0.0190374i
\(753\) −9.63273 46.0260i −0.351036 1.67728i
\(754\) 4.78828 0.844302i 0.174379 0.0307477i
\(755\) 14.7895 0.538245
\(756\) 9.17106 10.2417i 0.333548 0.372486i
\(757\) −21.1015 −0.766946 −0.383473 0.923552i \(-0.625272\pi\)
−0.383473 + 0.923552i \(0.625272\pi\)
\(758\) −3.24186 + 0.571628i −0.117750 + 0.0207625i
\(759\) 5.11346 4.57529i 0.185607 0.166073i
\(760\) −0.858478 + 0.312460i −0.0311403 + 0.0113341i
\(761\) 26.9443 + 22.6090i 0.976730 + 0.819574i 0.983593 0.180402i \(-0.0577400\pi\)
−0.00686247 + 0.999976i \(0.502184\pi\)
\(762\) −12.4337 31.0539i −0.450426 1.12496i
\(763\) 1.26701 9.88295i 0.0458689 0.357787i
\(764\) 5.30290 3.06163i 0.191852 0.110766i
\(765\) 15.1073 + 4.43444i 0.546206 + 0.160328i
\(766\) 10.6546 + 6.15144i 0.384967 + 0.222261i
\(767\) 1.95640 + 2.33154i 0.0706414 + 0.0841871i
\(768\) −0.817929 + 1.52676i −0.0295145 + 0.0550922i
\(769\) 26.3550 +