Properties

Label 176.2.w.a.5.1
Level $176$
Weight $2$
Character 176.5
Analytic conductor $1.405$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [176,2,Mod(5,176)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(176, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("176.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 176 = 2^{4} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 176.w (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.40536707557\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 176.5
Dual form 176.2.w.a.141.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.39423 + 0.236897i) q^{2} +(3.10742 - 0.492167i) q^{3} +(1.88776 - 0.660577i) q^{4} +(-1.27797 + 0.651156i) q^{5} +(-4.21587 + 1.42233i) q^{6} +(2.30623 + 3.17425i) q^{7} +(-2.47549 + 1.36820i) q^{8} +(6.56066 - 2.13169i) q^{9} +O(q^{10})\) \(q+(-1.39423 + 0.236897i) q^{2} +(3.10742 - 0.492167i) q^{3} +(1.88776 - 0.660577i) q^{4} +(-1.27797 + 0.651156i) q^{5} +(-4.21587 + 1.42233i) q^{6} +(2.30623 + 3.17425i) q^{7} +(-2.47549 + 1.36820i) q^{8} +(6.56066 - 2.13169i) q^{9} +(1.62752 - 1.21061i) q^{10} +(-3.31657 + 0.0188185i) q^{11} +(5.54095 - 2.98178i) q^{12} +(-3.91551 - 1.99505i) q^{13} +(-3.96739 - 3.87930i) q^{14} +(-3.65070 + 2.65239i) q^{15} +(3.12728 - 2.49402i) q^{16} +(1.01613 - 3.12734i) q^{17} +(-8.64209 + 4.52626i) q^{18} +(2.05429 - 0.325368i) q^{19} +(-1.98235 + 2.07342i) q^{20} +(8.72869 + 8.72869i) q^{21} +(4.61961 - 0.811922i) q^{22} -4.42811i q^{23} +(-7.01899 + 5.46993i) q^{24} +(-1.72973 + 2.38077i) q^{25} +(5.93174 + 1.85399i) q^{26} +(10.9279 - 5.56802i) q^{27} +(6.45045 + 4.46879i) q^{28} +(-0.593629 + 3.74803i) q^{29} +(4.46158 - 4.56288i) q^{30} +(-0.916425 - 2.82047i) q^{31} +(-3.76932 + 4.21808i) q^{32} +(-10.2967 + 1.69078i) q^{33} +(-0.675870 + 4.60095i) q^{34} +(-5.01422 - 2.55487i) q^{35} +(10.9768 - 8.35794i) q^{36} +(-1.91047 - 0.302589i) q^{37} +(-2.78708 + 0.940292i) q^{38} +(-13.1490 - 4.27238i) q^{39} +(2.27267 - 3.36044i) q^{40} +(1.90498 - 2.62198i) q^{41} +(-14.2376 - 10.1020i) q^{42} +(-6.59714 - 6.59714i) q^{43} +(-6.24846 + 2.22638i) q^{44} +(-6.99624 + 6.99624i) q^{45} +(1.04900 + 6.17381i) q^{46} +(1.17074 + 0.850594i) q^{47} +(8.49028 - 9.28912i) q^{48} +(-2.59407 + 7.98372i) q^{49} +(1.84765 - 3.72912i) q^{50} +(1.61838 - 10.2181i) q^{51} +(-8.70943 - 1.17968i) q^{52} +(-3.05297 + 5.99178i) q^{53} +(-13.9169 + 10.3519i) q^{54} +(4.22621 - 2.18366i) q^{55} +(-10.0521 - 4.70243i) q^{56} +(6.22341 - 2.02211i) q^{57} +(-0.0602387 - 5.36625i) q^{58} +(-1.48595 - 0.235351i) q^{59} +(-5.13954 + 7.41864i) q^{60} +(2.34547 + 4.60325i) q^{61} +(1.94587 + 3.71528i) q^{62} +(21.8969 + 15.9090i) q^{63} +(4.25605 - 6.77392i) q^{64} +6.30298 q^{65} +(13.9555 - 4.79660i) q^{66} +(-3.36588 + 3.36588i) q^{67} +(-0.147631 - 6.57490i) q^{68} +(-2.17937 - 13.7600i) q^{69} +(7.59622 + 2.37423i) q^{70} +(0.657139 + 0.213517i) q^{71} +(-13.3242 + 14.2533i) q^{72} +(0.257767 + 0.354786i) q^{73} +(2.73532 - 0.0307053i) q^{74} +(-4.20327 + 8.24938i) q^{75} +(3.66308 - 1.97123i) q^{76} +(-7.70851 - 10.4842i) q^{77} +(19.3449 + 2.84172i) q^{78} +(-1.31485 - 4.04669i) q^{79} +(-2.37255 + 5.22362i) q^{80} +(14.4745 - 10.5164i) q^{81} +(-2.03484 + 4.10692i) q^{82} +(-0.234571 - 0.460372i) q^{83} +(22.2436 + 10.7117i) q^{84} +(0.737802 + 4.65830i) q^{85} +(10.7608 + 7.63510i) q^{86} +11.9389i q^{87} +(8.18438 - 4.58432i) q^{88} +10.9114i q^{89} +(8.09699 - 11.4118i) q^{90} +(-2.69727 - 17.0299i) q^{91} +(-2.92511 - 8.35921i) q^{92} +(-4.23586 - 8.31334i) q^{93} +(-1.83379 - 0.908580i) q^{94} +(-2.41345 + 1.75347i) q^{95} +(-9.63686 + 14.9625i) q^{96} +(5.45640 + 16.7931i) q^{97} +(1.72541 - 11.7457i) q^{98} +(-21.7188 + 7.19336i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24} - 68 q^{26} - 18 q^{27} - 46 q^{28} - 22 q^{29} + 26 q^{30} - 12 q^{31} - 16 q^{32} - 16 q^{33} + 12 q^{34} - 26 q^{35} - 22 q^{36} + 18 q^{37} - 34 q^{38} + 14 q^{40} - 10 q^{42} - 40 q^{43} + 2 q^{44} - 24 q^{45} + 38 q^{46} - 12 q^{47} - 26 q^{48} + 8 q^{49} - 62 q^{50} + 6 q^{51} + 74 q^{52} - 30 q^{53} - 52 q^{54} - 96 q^{56} - 26 q^{58} + 10 q^{59} + 118 q^{60} - 6 q^{61} - 42 q^{62} - 28 q^{63} - 106 q^{64} - 32 q^{65} + 6 q^{66} + 24 q^{67} + 116 q^{68} + 12 q^{69} + 52 q^{70} - 98 q^{72} + 96 q^{74} - 46 q^{75} + 112 q^{76} - 14 q^{77} + 44 q^{78} - 52 q^{79} - 28 q^{80} + 66 q^{82} + 54 q^{83} + 120 q^{84} + 14 q^{85} + 86 q^{86} + 142 q^{88} + 228 q^{90} - 122 q^{91} + 146 q^{92} + 6 q^{93} + 56 q^{94} + 52 q^{95} + 86 q^{96} - 12 q^{97} + 140 q^{98} + 92 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/176\mathbb{Z}\right)^\times\).

\(n\) \(111\) \(133\) \(145\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39423 + 0.236897i −0.985870 + 0.167511i
\(3\) 3.10742 0.492167i 1.79407 0.284153i 0.831567 0.555424i \(-0.187444\pi\)
0.962503 + 0.271272i \(0.0874442\pi\)
\(4\) 1.88776 0.660577i 0.943880 0.330289i
\(5\) −1.27797 + 0.651156i −0.571524 + 0.291206i −0.715770 0.698336i \(-0.753924\pi\)
0.144246 + 0.989542i \(0.453924\pi\)
\(6\) −4.21587 + 1.42233i −1.72112 + 0.580664i
\(7\) 2.30623 + 3.17425i 0.871673 + 1.19976i 0.978658 + 0.205494i \(0.0658803\pi\)
−0.106985 + 0.994261i \(0.534120\pi\)
\(8\) −2.47549 + 1.36820i −0.875216 + 0.483732i
\(9\) 6.56066 2.13169i 2.18689 0.710563i
\(10\) 1.62752 1.21061i 0.514668 0.382828i
\(11\) −3.31657 + 0.0188185i −0.999984 + 0.00567398i
\(12\) 5.54095 2.98178i 1.59953 0.860767i
\(13\) −3.91551 1.99505i −1.08597 0.553328i −0.183033 0.983107i \(-0.558591\pi\)
−0.902934 + 0.429779i \(0.858591\pi\)
\(14\) −3.96739 3.87930i −1.06033 1.03679i
\(15\) −3.65070 + 2.65239i −0.942607 + 0.684844i
\(16\) 3.12728 2.49402i 0.781819 0.623506i
\(17\) 1.01613 3.12734i 0.246449 0.758491i −0.748946 0.662631i \(-0.769440\pi\)
0.995395 0.0958603i \(-0.0305602\pi\)
\(18\) −8.64209 + 4.52626i −2.03696 + 1.06685i
\(19\) 2.05429 0.325368i 0.471287 0.0746445i 0.0837263 0.996489i \(-0.473318\pi\)
0.387560 + 0.921844i \(0.373318\pi\)
\(20\) −1.98235 + 2.07342i −0.443268 + 0.463631i
\(21\) 8.72869 + 8.72869i 1.90476 + 1.90476i
\(22\) 4.61961 0.811922i 0.984904 0.173102i
\(23\) 4.42811i 0.923325i −0.887056 0.461663i \(-0.847253\pi\)
0.887056 0.461663i \(-0.152747\pi\)
\(24\) −7.01899 + 5.46993i −1.43275 + 1.11654i
\(25\) −1.72973 + 2.38077i −0.345947 + 0.476155i
\(26\) 5.93174 + 1.85399i 1.16331 + 0.363598i
\(27\) 10.9279 5.56802i 2.10307 1.07157i
\(28\) 6.45045 + 4.46879i 1.21902 + 0.844521i
\(29\) −0.593629 + 3.74803i −0.110234 + 0.695991i 0.869235 + 0.494399i \(0.164612\pi\)
−0.979469 + 0.201593i \(0.935388\pi\)
\(30\) 4.46158 4.56288i 0.814569 0.833064i
\(31\) −0.916425 2.82047i −0.164595 0.506570i 0.834411 0.551142i \(-0.185808\pi\)
−0.999006 + 0.0445715i \(0.985808\pi\)
\(32\) −3.76932 + 4.21808i −0.666328 + 0.745659i
\(33\) −10.2967 + 1.69078i −1.79243 + 0.294328i
\(34\) −0.675870 + 4.60095i −0.115911 + 0.789057i
\(35\) −5.01422 2.55487i −0.847558 0.431852i
\(36\) 10.9768 8.35794i 1.82947 1.39299i
\(37\) −1.91047 0.302589i −0.314080 0.0497454i −0.00259554 0.999997i \(-0.500826\pi\)
−0.311484 + 0.950251i \(0.600826\pi\)
\(38\) −2.78708 + 0.940292i −0.452124 + 0.152536i
\(39\) −13.1490 4.27238i −2.10553 0.684128i
\(40\) 2.27267 3.36044i 0.359341 0.531333i
\(41\) 1.90498 2.62198i 0.297508 0.409484i −0.633927 0.773393i \(-0.718558\pi\)
0.931435 + 0.363909i \(0.118558\pi\)
\(42\) −14.2376 10.1020i −2.19691 1.55877i
\(43\) −6.59714 6.59714i −1.00605 1.00605i −0.999982 0.00607326i \(-0.998067\pi\)
−0.00607326 0.999982i \(-0.501933\pi\)
\(44\) −6.24846 + 2.22638i −0.941991 + 0.335639i
\(45\) −6.99624 + 6.99624i −1.04294 + 1.04294i
\(46\) 1.04900 + 6.17381i 0.154667 + 0.910279i
\(47\) 1.17074 + 0.850594i 0.170770 + 0.124072i 0.669888 0.742463i \(-0.266342\pi\)
−0.499117 + 0.866534i \(0.666342\pi\)
\(48\) 8.49028 9.28912i 1.22547 1.34077i
\(49\) −2.59407 + 7.98372i −0.370581 + 1.14053i
\(50\) 1.84765 3.72912i 0.261297 0.527377i
\(51\) 1.61838 10.2181i 0.226619 1.43082i
\(52\) −8.70943 1.17968i −1.20778 0.163593i
\(53\) −3.05297 + 5.99178i −0.419357 + 0.823035i 0.580604 + 0.814186i \(0.302817\pi\)
−0.999961 + 0.00884830i \(0.997183\pi\)
\(54\) −13.9169 + 10.3519i −1.89385 + 1.40871i
\(55\) 4.22621 2.18366i 0.569862 0.294444i
\(56\) −10.0521 4.70243i −1.34326 0.628389i
\(57\) 6.22341 2.02211i 0.824311 0.267835i
\(58\) −0.0602387 5.36625i −0.00790972 0.704623i
\(59\) −1.48595 0.235351i −0.193454 0.0306401i 0.0589556 0.998261i \(-0.481223\pi\)
−0.252409 + 0.967621i \(0.581223\pi\)
\(60\) −5.13954 + 7.41864i −0.663512 + 0.957743i
\(61\) 2.34547 + 4.60325i 0.300307 + 0.589386i 0.991015 0.133748i \(-0.0427012\pi\)
−0.690708 + 0.723133i \(0.742701\pi\)
\(62\) 1.94587 + 3.71528i 0.247125 + 0.471841i
\(63\) 21.8969 + 15.9090i 2.75875 + 2.00435i
\(64\) 4.25605 6.77392i 0.532007 0.846740i
\(65\) 6.30298 0.781788
\(66\) 13.9555 4.79660i 1.71780 0.590421i
\(67\) −3.36588 + 3.36588i −0.411207 + 0.411207i −0.882159 0.470952i \(-0.843911\pi\)
0.470952 + 0.882159i \(0.343911\pi\)
\(68\) −0.147631 6.57490i −0.0179029 0.797324i
\(69\) −2.17937 13.7600i −0.262365 1.65651i
\(70\) 7.59622 + 2.37423i 0.907922 + 0.283775i
\(71\) 0.657139 + 0.213517i 0.0779881 + 0.0253399i 0.347751 0.937587i \(-0.386945\pi\)
−0.269763 + 0.962927i \(0.586945\pi\)
\(72\) −13.3242 + 14.2533i −1.57028 + 1.67976i
\(73\) 0.257767 + 0.354786i 0.0301693 + 0.0415245i 0.823835 0.566829i \(-0.191830\pi\)
−0.793666 + 0.608354i \(0.791830\pi\)
\(74\) 2.73532 0.0307053i 0.317975 0.00356942i
\(75\) −4.20327 + 8.24938i −0.485352 + 0.952556i
\(76\) 3.66308 1.97123i 0.420184 0.226116i
\(77\) −7.70851 10.4842i −0.878466 1.19479i
\(78\) 19.3449 + 2.84172i 2.19038 + 0.321762i
\(79\) −1.31485 4.04669i −0.147932 0.455288i 0.849444 0.527678i \(-0.176937\pi\)
−0.997376 + 0.0723903i \(0.976937\pi\)
\(80\) −2.37255 + 5.22362i −0.265260 + 0.584019i
\(81\) 14.4745 10.5164i 1.60828 1.16849i
\(82\) −2.03484 + 4.10692i −0.224711 + 0.453534i
\(83\) −0.234571 0.460372i −0.0257475 0.0505324i 0.877774 0.479074i \(-0.159027\pi\)
−0.903522 + 0.428542i \(0.859027\pi\)
\(84\) 22.2436 + 10.7117i 2.42698 + 1.16874i
\(85\) 0.737802 + 4.65830i 0.0800258 + 0.505263i
\(86\) 10.7608 + 7.63510i 1.16036 + 0.823314i
\(87\) 11.9389i 1.27998i
\(88\) 8.18438 4.58432i 0.872457 0.488690i
\(89\) 10.9114i 1.15661i 0.815821 + 0.578304i \(0.196285\pi\)
−0.815821 + 0.578304i \(0.803715\pi\)
\(90\) 8.09699 11.4118i 0.853498 1.20291i
\(91\) −2.69727 17.0299i −0.282750 1.78521i
\(92\) −2.92511 8.35921i −0.304964 0.871508i
\(93\) −4.23586 8.31334i −0.439238 0.862053i
\(94\) −1.83379 0.908580i −0.189141 0.0937128i
\(95\) −2.41345 + 1.75347i −0.247615 + 0.179903i
\(96\) −9.63686 + 14.9625i −0.983558 + 1.52710i
\(97\) 5.45640 + 16.7931i 0.554013 + 1.70508i 0.698536 + 0.715575i \(0.253835\pi\)
−0.144522 + 0.989502i \(0.546165\pi\)
\(98\) 1.72541 11.7457i 0.174293 1.18649i
\(99\) −21.7188 + 7.19336i −2.18282 + 0.722960i
\(100\) −1.69264 + 5.63695i −0.169264 + 0.563695i
\(101\) 1.67566 3.28867i 0.166734 0.327235i −0.792488 0.609888i \(-0.791215\pi\)
0.959222 + 0.282653i \(0.0912145\pi\)
\(102\) 0.164226 + 14.6297i 0.0162608 + 1.44856i
\(103\) −3.76586 5.18326i −0.371061 0.510721i 0.582128 0.813097i \(-0.302220\pi\)
−0.953189 + 0.302376i \(0.902220\pi\)
\(104\) 12.4224 0.418483i 1.21812 0.0410356i
\(105\) −16.8387 5.47123i −1.64329 0.533937i
\(106\) 2.83711 9.07716i 0.275564 0.881652i
\(107\) 2.26876 + 14.3244i 0.219329 + 1.38479i 0.814021 + 0.580835i \(0.197274\pi\)
−0.594692 + 0.803954i \(0.702726\pi\)
\(108\) 16.9511 17.7298i 1.63112 1.70605i
\(109\) 9.40103 9.40103i 0.900456 0.900456i −0.0950197 0.995475i \(-0.530291\pi\)
0.995475 + 0.0950197i \(0.0302914\pi\)
\(110\) −5.37502 + 4.04570i −0.512488 + 0.385742i
\(111\) −6.08557 −0.577617
\(112\) 15.1289 + 4.17498i 1.42954 + 0.394498i
\(113\) 9.43073 + 6.85182i 0.887168 + 0.644565i 0.935138 0.354283i \(-0.115275\pi\)
−0.0479700 + 0.998849i \(0.515275\pi\)
\(114\) −8.19784 + 4.29359i −0.767798 + 0.402132i
\(115\) 2.88339 + 5.65898i 0.268878 + 0.527703i
\(116\) 1.35523 + 7.46752i 0.125830 + 0.693341i
\(117\) −29.9412 4.74221i −2.76806 0.438418i
\(118\) 2.12751 0.0238823i 0.195853 0.00219854i
\(119\) 12.2704 3.98690i 1.12483 0.365478i
\(120\) 5.40825 11.5608i 0.493704 1.05536i
\(121\) 10.9993 0.124825i 0.999936 0.0113478i
\(122\) −4.36062 5.86236i −0.394792 0.530753i
\(123\) 4.62912 9.08515i 0.417393 0.819181i
\(124\) −3.59312 4.71899i −0.322672 0.423778i
\(125\) 1.78215 11.2521i 0.159400 1.00641i
\(126\) −34.2982 16.9936i −3.05552 1.51391i
\(127\) 1.21874 3.75089i 0.108146 0.332838i −0.882310 0.470668i \(-0.844013\pi\)
0.990456 + 0.137830i \(0.0440128\pi\)
\(128\) −4.32920 + 10.4527i −0.382651 + 0.923893i
\(129\) −23.7470 17.2532i −2.09081 1.51906i
\(130\) −8.78781 + 1.49315i −0.770742 + 0.130958i
\(131\) −2.54233 + 2.54233i −0.222125 + 0.222125i −0.809393 0.587268i \(-0.800204\pi\)
0.587268 + 0.809393i \(0.300204\pi\)
\(132\) −18.3208 + 9.99357i −1.59462 + 0.869829i
\(133\) 5.77047 + 5.77047i 0.500363 + 0.500363i
\(134\) 3.89544 5.49017i 0.336515 0.474279i
\(135\) −10.3398 + 14.2315i −0.889906 + 1.22485i
\(136\) 1.76340 + 9.13196i 0.151211 + 0.783059i
\(137\) −0.931620 0.302702i −0.0795936 0.0258615i 0.268950 0.963154i \(-0.413324\pi\)
−0.348543 + 0.937293i \(0.613324\pi\)
\(138\) 6.29825 + 18.6683i 0.536142 + 1.58915i
\(139\) 8.61515 + 1.36451i 0.730727 + 0.115736i 0.510701 0.859758i \(-0.329386\pi\)
0.220026 + 0.975494i \(0.429386\pi\)
\(140\) −11.1533 1.51071i −0.942629 0.127678i
\(141\) 4.05662 + 2.06695i 0.341629 + 0.174069i
\(142\) −0.966785 0.142019i −0.0811308 0.0119179i
\(143\) 13.0236 + 6.54305i 1.08909 + 0.547157i
\(144\) 15.2005 23.0288i 1.26671 1.91907i
\(145\) −1.68191 5.17640i −0.139675 0.429877i
\(146\) −0.443434 0.433589i −0.0366989 0.0358841i
\(147\) −4.13154 + 26.0855i −0.340763 + 2.15150i
\(148\) −3.80640 + 0.690799i −0.312884 + 0.0567834i
\(149\) −0.581568 + 0.296323i −0.0476439 + 0.0242758i −0.477650 0.878550i \(-0.658511\pi\)
0.430006 + 0.902826i \(0.358511\pi\)
\(150\) 3.90608 12.4973i 0.318930 1.02040i
\(151\) 9.66619 13.3044i 0.786623 1.08269i −0.207897 0.978151i \(-0.566662\pi\)
0.994520 0.104543i \(-0.0333380\pi\)
\(152\) −4.64020 + 3.61613i −0.376370 + 0.293307i
\(153\) 22.6835i 1.83385i
\(154\) 13.2311 + 12.7913i 1.06619 + 1.03075i
\(155\) 3.00772 + 3.00772i 0.241586 + 0.241586i
\(156\) −27.6444 + 0.620722i −2.21333 + 0.0496976i
\(157\) −16.1294 + 2.55464i −1.28726 + 0.203882i −0.762289 0.647236i \(-0.775925\pi\)
−0.524973 + 0.851119i \(0.675925\pi\)
\(158\) 2.79185 + 5.33053i 0.222108 + 0.424074i
\(159\) −6.53789 + 20.1216i −0.518488 + 1.59574i
\(160\) 2.07043 7.84498i 0.163682 0.620200i
\(161\) 14.0560 10.2122i 1.10776 0.804838i
\(162\) −17.6896 + 18.0912i −1.38982 + 1.42138i
\(163\) −15.2463 7.76838i −1.19418 0.608466i −0.260120 0.965576i \(-0.583762\pi\)
−0.934062 + 0.357110i \(0.883762\pi\)
\(164\) 1.86412 6.20805i 0.145564 0.484767i
\(165\) 12.0579 8.86554i 0.938706 0.690181i
\(166\) 0.436107 + 0.586295i 0.0338485 + 0.0455054i
\(167\) 5.73725 1.86415i 0.443962 0.144252i −0.0785008 0.996914i \(-0.525013\pi\)
0.522463 + 0.852662i \(0.325013\pi\)
\(168\) −33.5503 9.66514i −2.58846 0.745682i
\(169\) 3.70977 + 5.10606i 0.285367 + 0.392774i
\(170\) −2.13220 6.31996i −0.163532 0.484719i
\(171\) 12.7839 6.51374i 0.977611 0.498118i
\(172\) −16.8117 8.09590i −1.28188 0.617307i
\(173\) 3.31174 0.524528i 0.251787 0.0398791i −0.0292650 0.999572i \(-0.509317\pi\)
0.281052 + 0.959693i \(0.409317\pi\)
\(174\) −2.82828 16.6455i −0.214411 1.26189i
\(175\) −11.5463 −0.872821
\(176\) −10.3249 + 8.33045i −0.778269 + 0.627932i
\(177\) −4.73329 −0.355776
\(178\) −2.58488 15.2130i −0.193745 1.14027i
\(179\) 23.6413 3.74442i 1.76704 0.279871i 0.813591 0.581438i \(-0.197510\pi\)
0.953445 + 0.301567i \(0.0975097\pi\)
\(180\) −8.58567 + 17.8288i −0.639938 + 1.32888i
\(181\) 19.1421 9.75337i 1.42282 0.724962i 0.438069 0.898941i \(-0.355662\pi\)
0.984749 + 0.173979i \(0.0556624\pi\)
\(182\) 7.79493 + 23.1046i 0.577799 + 1.71263i
\(183\) 9.55393 + 13.1499i 0.706247 + 0.972066i
\(184\) 6.05855 + 10.9617i 0.446642 + 0.808109i
\(185\) 2.63855 0.857318i 0.193990 0.0630313i
\(186\) 7.87516 + 10.5873i 0.577435 + 0.776295i
\(187\) −3.31123 + 10.3912i −0.242141 + 0.759878i
\(188\) 2.77196 + 0.832352i 0.202166 + 0.0607055i
\(189\) 42.8764 + 21.8466i 3.11880 + 1.58911i
\(190\) 2.94951 3.01649i 0.213980 0.218839i
\(191\) 10.7872 7.83739i 0.780537 0.567094i −0.124603 0.992207i \(-0.539766\pi\)
0.905140 + 0.425113i \(0.139766\pi\)
\(192\) 9.89144 23.1441i 0.713853 1.67028i
\(193\) −5.43596 + 16.7302i −0.391289 + 1.20426i 0.540525 + 0.841328i \(0.318225\pi\)
−0.931814 + 0.362936i \(0.881775\pi\)
\(194\) −11.5857 22.1208i −0.831804 1.58818i
\(195\) 19.5860 3.10212i 1.40258 0.222147i
\(196\) 0.376885 + 16.7849i 0.0269204 + 1.19892i
\(197\) −5.72950 5.72950i −0.408210 0.408210i 0.472904 0.881114i \(-0.343206\pi\)
−0.881114 + 0.472904i \(0.843206\pi\)
\(198\) 28.5769 15.1743i 2.03087 1.07839i
\(199\) 26.4665i 1.87616i 0.346416 + 0.938081i \(0.387399\pi\)
−0.346416 + 0.938081i \(0.612601\pi\)
\(200\) 1.02455 8.26019i 0.0724468 0.584084i
\(201\) −8.80262 + 12.1158i −0.620889 + 0.854580i
\(202\) −1.55718 + 4.98212i −0.109563 + 0.350541i
\(203\) −13.2662 + 6.75949i −0.931107 + 0.474423i
\(204\) −3.69470 20.3583i −0.258681 1.42537i
\(205\) −0.727180 + 4.59124i −0.0507885 + 0.320666i
\(206\) 6.47837 + 6.33454i 0.451369 + 0.441348i
\(207\) −9.43936 29.0514i −0.656081 2.01921i
\(208\) −17.2206 + 3.52629i −1.19403 + 0.244504i
\(209\) −6.80708 + 1.11776i −0.470856 + 0.0773174i
\(210\) 24.7732 + 3.63912i 1.70951 + 0.251123i
\(211\) −2.93826 1.49712i −0.202278 0.103066i 0.349917 0.936781i \(-0.386210\pi\)
−0.552195 + 0.833715i \(0.686210\pi\)
\(212\) −1.80523 + 13.3278i −0.123984 + 0.915355i
\(213\) 2.14709 + 0.340066i 0.147116 + 0.0233010i
\(214\) −6.55656 19.4340i −0.448198 1.32848i
\(215\) 12.7267 + 4.13515i 0.867953 + 0.282015i
\(216\) −19.4336 + 28.7350i −1.32229 + 1.95517i
\(217\) 6.83939 9.41361i 0.464288 0.639037i
\(218\) −10.8801 + 15.3343i −0.736896 + 1.03857i
\(219\) 0.975604 + 0.975604i 0.0659252 + 0.0659252i
\(220\) 6.53560 6.91396i 0.440630 0.466139i
\(221\) −10.2179 + 10.2179i −0.687329 + 0.687329i
\(222\) 8.48469 1.44165i 0.569455 0.0967573i
\(223\) −18.6400 13.5428i −1.24823 0.906892i −0.250111 0.968217i \(-0.580467\pi\)
−0.998118 + 0.0613254i \(0.980467\pi\)
\(224\) −22.0822 2.23690i −1.47543 0.149459i
\(225\) −6.27313 + 19.3067i −0.418208 + 1.28711i
\(226\) −14.7718 7.31892i −0.982604 0.486847i
\(227\) 4.11716 25.9947i 0.273266 1.72533i −0.344342 0.938844i \(-0.611898\pi\)
0.617607 0.786487i \(-0.288102\pi\)
\(228\) 10.4125 7.92830i 0.689588 0.525064i
\(229\) −9.52956 + 18.7028i −0.629731 + 1.23592i 0.327023 + 0.945016i \(0.393955\pi\)
−0.956754 + 0.290900i \(0.906045\pi\)
\(230\) −5.36071 7.20686i −0.353475 0.475206i
\(231\) −29.1136 28.7851i −1.91553 1.89392i
\(232\) −3.65854 10.0904i −0.240195 0.662467i
\(233\) −1.27934 + 0.415681i −0.0838121 + 0.0272322i −0.350623 0.936517i \(-0.614030\pi\)
0.266811 + 0.963749i \(0.414030\pi\)
\(234\) 42.8683 0.481217i 2.80239 0.0314581i
\(235\) −2.05004 0.324694i −0.133730 0.0211807i
\(236\) −2.96058 + 0.537297i −0.192717 + 0.0349750i
\(237\) −6.07743 11.9276i −0.394772 0.774783i
\(238\) −16.1633 + 8.46548i −1.04771 + 0.548735i
\(239\) −23.1237 16.8004i −1.49575 1.08673i −0.972036 0.234832i \(-0.924546\pi\)
−0.523714 0.851894i \(-0.675454\pi\)
\(240\) −4.80163 + 17.3997i −0.309944 + 1.12314i
\(241\) −2.78013 −0.179084 −0.0895421 0.995983i \(-0.528540\pi\)
−0.0895421 + 0.995983i \(0.528540\pi\)
\(242\) −15.3060 + 2.77973i −0.983906 + 0.178688i
\(243\) 13.7855 13.7855i 0.884339 0.884339i
\(244\) 7.46849 + 7.14046i 0.478121 + 0.457121i
\(245\) −1.88352 11.8921i −0.120334 0.759757i
\(246\) −4.30182 + 13.7634i −0.274274 + 0.877524i
\(247\) −8.69272 2.82444i −0.553105 0.179715i
\(248\) 6.12756 + 5.72817i 0.389100 + 0.363739i
\(249\) −0.955491 1.31512i −0.0605518 0.0833424i
\(250\) 0.180844 + 16.1102i 0.0114376 + 1.01890i
\(251\) 9.26686 18.1872i 0.584919 1.14797i −0.389035 0.921223i \(-0.627191\pi\)
0.973954 0.226746i \(-0.0728086\pi\)
\(252\) 51.8453 + 15.5678i 3.26595 + 0.980682i
\(253\) 0.0833302 + 14.6862i 0.00523893 + 0.923311i
\(254\) −0.810630 + 5.51833i −0.0508635 + 0.346251i
\(255\) 4.58532 + 14.1122i 0.287144 + 0.883738i
\(256\) 3.55971 15.5990i 0.222482 0.974937i
\(257\) 14.4121 10.4710i 0.899001 0.653162i −0.0392082 0.999231i \(-0.512484\pi\)
0.938209 + 0.346069i \(0.112484\pi\)
\(258\) 37.1960 + 18.4294i 2.31572 + 1.14736i
\(259\) −3.44550 6.76217i −0.214093 0.420181i
\(260\) 11.8985 4.16360i 0.737914 0.258216i
\(261\) 4.09503 + 25.8550i 0.253476 + 1.60038i
\(262\) 2.94233 4.14687i 0.181778 0.256195i
\(263\) 26.5291i 1.63585i 0.575323 + 0.817926i \(0.304876\pi\)
−0.575323 + 0.817926i \(0.695124\pi\)
\(264\) 23.1760 18.2735i 1.42639 1.12466i
\(265\) 9.64525i 0.592503i
\(266\) −9.41237 6.67836i −0.577109 0.409477i
\(267\) 5.37024 + 33.9064i 0.328653 + 2.07504i
\(268\) −4.13054 + 8.57738i −0.252313 + 0.523947i
\(269\) 2.49975 + 4.90604i 0.152413 + 0.299126i 0.954570 0.297986i \(-0.0963148\pi\)
−0.802158 + 0.597112i \(0.796315\pi\)
\(270\) 11.0446 22.2914i 0.672156 1.35661i
\(271\) 9.27349 6.73758i 0.563324 0.409279i −0.269350 0.963042i \(-0.586809\pi\)
0.832674 + 0.553763i \(0.186809\pi\)
\(272\) −4.62192 12.3143i −0.280245 0.746665i
\(273\) −16.7631 51.5914i −1.01455 3.12246i
\(274\) 1.37060 + 0.201338i 0.0828011 + 0.0121633i
\(275\) 5.69198 7.92856i 0.343239 0.478110i
\(276\) −13.2037 24.5359i −0.794768 1.47689i
\(277\) −7.16028 + 14.0528i −0.430219 + 0.844353i 0.569530 + 0.821970i \(0.307125\pi\)
−0.999749 + 0.0223826i \(0.992875\pi\)
\(278\) −12.3348 + 0.138463i −0.739789 + 0.00830448i
\(279\) −12.0247 16.5506i −0.719900 0.990858i
\(280\) 15.9082 0.535912i 0.950697 0.0320268i
\(281\) 8.15551 + 2.64988i 0.486517 + 0.158079i 0.541996 0.840381i \(-0.317669\pi\)
−0.0554794 + 0.998460i \(0.517669\pi\)
\(282\) −6.14552 1.92081i −0.365961 0.114383i
\(283\) 3.04001 + 19.1938i 0.180710 + 1.14096i 0.896632 + 0.442776i \(0.146006\pi\)
−0.715923 + 0.698179i \(0.753994\pi\)
\(284\) 1.38157 0.0310214i 0.0819808 0.00184078i
\(285\) −6.63660 + 6.63660i −0.393118 + 0.393118i
\(286\) −19.7079 6.03727i −1.16536 0.356991i
\(287\) 12.7161 0.750610
\(288\) −15.7376 + 35.7084i −0.927346 + 2.10414i
\(289\) 5.00556 + 3.63675i 0.294445 + 0.213927i
\(290\) 3.57125 + 6.81866i 0.209711 + 0.400405i
\(291\) 25.2203 + 49.4976i 1.47844 + 2.90160i
\(292\) 0.720966 + 0.499475i 0.0421913 + 0.0292296i
\(293\) 24.8955 + 3.94306i 1.45441 + 0.230356i 0.833062 0.553179i \(-0.186586\pi\)
0.621347 + 0.783535i \(0.286586\pi\)
\(294\) −0.419249 37.3480i −0.0244511 2.17818i
\(295\) 2.05224 0.666813i 0.119486 0.0388234i
\(296\) 5.14335 1.86486i 0.298951 0.108393i
\(297\) −36.1382 + 18.6724i −2.09695 + 1.08348i
\(298\) 0.740641 0.550915i 0.0429042 0.0319136i
\(299\) −8.83431 + 17.3383i −0.510901 + 1.00270i
\(300\) −2.48541 + 18.3494i −0.143495 + 1.05941i
\(301\) 5.72647 36.1555i 0.330068 2.08397i
\(302\) −10.3251 + 20.8392i −0.594145 + 1.19916i
\(303\) 3.58841 11.0440i 0.206149 0.634460i
\(304\) 5.61286 6.14096i 0.321920 0.352208i
\(305\) −5.99487 4.35553i −0.343265 0.249397i
\(306\) 5.37364 + 31.6260i 0.307191 + 1.80794i
\(307\) −1.56886 + 1.56886i −0.0895394 + 0.0895394i −0.750458 0.660918i \(-0.770167\pi\)
0.660918 + 0.750458i \(0.270167\pi\)
\(308\) −21.4775 14.6997i −1.22379 0.837591i
\(309\) −14.2531 14.2531i −0.810832 0.810832i
\(310\) −4.90598 3.48094i −0.278641 0.197704i
\(311\) −0.849326 + 1.16900i −0.0481609 + 0.0662878i −0.832418 0.554148i \(-0.813044\pi\)
0.784257 + 0.620436i \(0.213044\pi\)
\(312\) 38.3957 7.41430i 2.17373 0.419752i
\(313\) −15.3691 4.99371i −0.868711 0.282261i −0.159449 0.987206i \(-0.550972\pi\)
−0.709262 + 0.704945i \(0.750972\pi\)
\(314\) 21.8829 7.38274i 1.23492 0.416632i
\(315\) −38.3428 6.07290i −2.16037 0.342169i
\(316\) −5.15527 6.77062i −0.290006 0.380877i
\(317\) 13.7591 + 7.01061i 0.772788 + 0.393755i 0.795474 0.605988i \(-0.207222\pi\)
−0.0226862 + 0.999743i \(0.507222\pi\)
\(318\) 4.34860 29.6029i 0.243857 1.66005i
\(319\) 1.89828 12.4418i 0.106283 0.696606i
\(320\) −1.02821 + 11.4282i −0.0574786 + 0.638856i
\(321\) 14.1000 + 43.3952i 0.786983 + 2.42208i
\(322\) −17.1780 + 17.5680i −0.957293 + 0.979029i
\(323\) 1.06990 6.75508i 0.0595308 0.375863i
\(324\) 20.3776 29.4139i 1.13209 1.63411i
\(325\) 11.5226 5.87103i 0.639156 0.325666i
\(326\) 23.0972 + 7.21912i 1.27923 + 0.399830i
\(327\) 24.5861 33.8398i 1.35961 1.87135i
\(328\) −1.12835 + 9.09706i −0.0623029 + 0.502301i
\(329\) 5.67790i 0.313033i
\(330\) −14.7113 + 15.2171i −0.809829 + 0.837673i
\(331\) −17.2646 17.2646i −0.948946 0.948946i 0.0498128 0.998759i \(-0.484138\pi\)
−0.998759 + 0.0498128i \(0.984138\pi\)
\(332\) −0.746925 0.714119i −0.0409928 0.0391924i
\(333\) −13.1790 + 2.08735i −0.722205 + 0.114386i
\(334\) −7.55745 + 3.95819i −0.413525 + 0.216582i
\(335\) 2.10976 6.49319i 0.115269 0.354761i
\(336\) 49.0666 + 5.52747i 2.67680 + 0.301548i
\(337\) −6.39303 + 4.64481i −0.348250 + 0.253019i −0.748135 0.663547i \(-0.769050\pi\)
0.399884 + 0.916566i \(0.369050\pi\)
\(338\) −6.38188 6.24019i −0.347129 0.339422i
\(339\) 32.6775 + 16.6500i 1.77480 + 0.904304i
\(340\) 4.46996 + 8.30637i 0.242417 + 0.450476i
\(341\) 3.09246 + 9.33703i 0.167466 + 0.505628i
\(342\) −16.2807 + 12.1101i −0.880358 + 0.654840i
\(343\) −5.20397 + 1.69087i −0.280988 + 0.0912986i
\(344\) 25.3573 + 7.30491i 1.36718 + 0.393854i
\(345\) 11.7451 + 16.1657i 0.632334 + 0.870333i
\(346\) −4.49307 + 1.51585i −0.241549 + 0.0814928i
\(347\) −31.0288 + 15.8100i −1.66571 + 0.848724i −0.671537 + 0.740971i \(0.734366\pi\)
−0.994178 + 0.107753i \(0.965634\pi\)
\(348\) 7.88654 + 22.5377i 0.422763 + 1.20815i
\(349\) 6.41367 1.01583i 0.343316 0.0543759i 0.0176042 0.999845i \(-0.494396\pi\)
0.325712 + 0.945469i \(0.394396\pi\)
\(350\) 16.0983 2.73529i 0.860489 0.146207i
\(351\) −53.8966 −2.87679
\(352\) 12.4218 14.0605i 0.662086 0.749428i
\(353\) −28.0791 −1.49450 −0.747250 0.664543i \(-0.768626\pi\)
−0.747250 + 0.664543i \(0.768626\pi\)
\(354\) 6.59930 1.12130i 0.350749 0.0595965i
\(355\) −0.978835 + 0.155032i −0.0519512 + 0.00822826i
\(356\) 7.20783 + 20.5981i 0.382014 + 1.09170i
\(357\) 36.1671 18.4281i 1.91417 0.975316i
\(358\) −32.0744 + 10.8211i −1.69519 + 0.571915i
\(359\) 11.3256 + 15.5883i 0.597740 + 0.822719i 0.995499 0.0947711i \(-0.0302119\pi\)
−0.397759 + 0.917490i \(0.630212\pi\)
\(360\) 7.74683 26.8914i 0.408294 1.41730i
\(361\) −13.9558 + 4.53452i −0.734517 + 0.238659i
\(362\) −24.3779 + 18.1331i −1.28128 + 0.953057i
\(363\) 34.1180 5.80137i 1.79073 0.304493i
\(364\) −16.3413 30.3665i −0.856518 1.59164i
\(365\) −0.560438 0.285558i −0.0293347 0.0149468i
\(366\) −16.4355 16.0706i −0.859100 0.840026i
\(367\) 4.62824 3.36261i 0.241592 0.175527i −0.460400 0.887712i \(-0.652294\pi\)
0.701992 + 0.712184i \(0.252294\pi\)
\(368\) −11.0438 13.8479i −0.575698 0.721873i
\(369\) 6.90868 21.2627i 0.359651 1.10689i
\(370\) −3.47566 + 1.82036i −0.180691 + 0.0946362i
\(371\) −26.0603 + 4.12754i −1.35298 + 0.214291i
\(372\) −13.4879 12.8955i −0.699314 0.668599i
\(373\) −6.60595 6.60595i −0.342043 0.342043i 0.515092 0.857135i \(-0.327758\pi\)
−0.857135 + 0.515092i \(0.827758\pi\)
\(374\) 2.15499 15.2721i 0.111432 0.789702i
\(375\) 35.8420i 1.85087i
\(376\) −4.06194 0.503822i −0.209478 0.0259826i
\(377\) 9.80187 13.4911i 0.504822 0.694828i
\(378\) −64.9551 20.3020i −3.34093 1.04422i
\(379\) 22.2662 11.3452i 1.14374 0.582763i 0.223724 0.974652i \(-0.428178\pi\)
0.920012 + 0.391890i \(0.128178\pi\)
\(380\) −3.39771 + 4.90441i −0.174299 + 0.251591i
\(381\) 1.94107 12.2554i 0.0994440 0.627865i
\(382\) −13.1833 + 13.4826i −0.674514 + 0.689829i
\(383\) 6.04421 + 18.6022i 0.308845 + 0.950526i 0.978214 + 0.207597i \(0.0665642\pi\)
−0.669370 + 0.742929i \(0.733436\pi\)
\(384\) −8.30819 + 34.6115i −0.423976 + 1.76626i
\(385\) 16.6781 + 8.37906i 0.849994 + 0.427036i
\(386\) 3.61566 24.6135i 0.184032 1.25279i
\(387\) −57.3447 29.2186i −2.91499 1.48526i
\(388\) 21.3935 + 28.0969i 1.08609 + 1.42640i
\(389\) −36.5304 5.78585i −1.85216 0.293354i −0.871698 0.490043i \(-0.836981\pi\)
−0.980466 + 0.196689i \(0.936981\pi\)
\(390\) −26.5725 + 8.96492i −1.34555 + 0.453957i
\(391\) −13.8482 4.49956i −0.700334 0.227552i
\(392\) −4.50176 23.3128i −0.227373 1.17747i
\(393\) −6.64885 + 9.15135i −0.335390 + 0.461625i
\(394\) 9.34555 + 6.63095i 0.470822 + 0.334063i
\(395\) 4.31536 + 4.31536i 0.217129 + 0.217129i
\(396\) −36.2481 + 27.9263i −1.82154 + 1.40335i
\(397\) −3.15483 + 3.15483i −0.158337 + 0.158337i −0.781829 0.623493i \(-0.785713\pi\)
0.623493 + 0.781829i \(0.285713\pi\)
\(398\) −6.26983 36.9004i −0.314278 1.84965i
\(399\) 20.7713 + 15.0912i 1.03987 + 0.755507i
\(400\) 0.528349 + 11.7593i 0.0264175 + 0.587966i
\(401\) 1.78082 5.48081i 0.0889300 0.273699i −0.896694 0.442650i \(-0.854038\pi\)
0.985624 + 0.168952i \(0.0540383\pi\)
\(402\) 9.40270 18.9775i 0.468964 0.946511i
\(403\) −2.03870 + 12.8719i −0.101555 + 0.641193i
\(404\) 0.990825 7.31512i 0.0492954 0.363941i
\(405\) −11.6502 + 22.8647i −0.578902 + 1.13616i
\(406\) 16.8949 12.5670i 0.838480 0.623690i
\(407\) 6.34192 + 0.967607i 0.314357 + 0.0479625i
\(408\) 9.97409 + 27.5089i 0.493791 + 1.36190i
\(409\) −33.1836 + 10.7820i −1.64082 + 0.533136i −0.976722 0.214507i \(-0.931185\pi\)
−0.664101 + 0.747643i \(0.731185\pi\)
\(410\) −0.0737908 6.57351i −0.00364427 0.324643i
\(411\) −3.04391 0.482109i −0.150145 0.0237807i
\(412\) −10.5330 7.29711i −0.518922 0.359503i
\(413\) −2.67987 5.25955i −0.131868 0.258805i
\(414\) 20.0428 + 38.2681i 0.985050 + 1.88078i
\(415\) 0.599548 + 0.435597i 0.0294306 + 0.0213826i
\(416\) 23.1741 8.99596i 1.13620 0.441063i
\(417\) 27.4424 1.34386
\(418\) 9.22585 3.17100i 0.451251 0.155098i
\(419\) 5.84806 5.84806i 0.285696 0.285696i −0.549679 0.835376i \(-0.685250\pi\)
0.835376 + 0.549679i \(0.185250\pi\)
\(420\) −35.4016 + 0.794900i −1.72742 + 0.0387871i
\(421\) −1.63239 10.3065i −0.0795578 0.502308i −0.995001 0.0998618i \(-0.968160\pi\)
0.915443 0.402447i \(-0.131840\pi\)
\(422\) 4.45127 + 1.39126i 0.216685 + 0.0677257i
\(423\) 9.49404 + 3.08480i 0.461616 + 0.149988i
\(424\) −0.640392 19.0096i −0.0311002 0.923190i
\(425\) 5.68785 + 7.82865i 0.275901 + 0.379745i
\(426\) −3.07411 + 0.0345083i −0.148941 + 0.00167193i
\(427\) −9.20268 + 18.0613i −0.445349 + 0.874046i
\(428\) 13.7452 + 25.5423i 0.664400 + 1.23463i
\(429\) 43.6901 + 13.9222i 2.10938 + 0.672170i
\(430\) −18.7236 2.75045i −0.902930 0.132638i
\(431\) 3.48623 + 10.7295i 0.167926 + 0.516822i 0.999240 0.0389807i \(-0.0124111\pi\)
−0.831314 + 0.555803i \(0.812411\pi\)
\(432\) 20.2876 44.6670i 0.976090 2.14904i
\(433\) −11.7663 + 8.54875i −0.565454 + 0.410827i −0.833451 0.552593i \(-0.813638\pi\)
0.267997 + 0.963420i \(0.413638\pi\)
\(434\) −7.30563 + 14.7450i −0.350682 + 0.707781i
\(435\) −7.77407 15.2575i −0.372738 0.731539i
\(436\) 11.5368 23.9570i 0.552512 1.14733i
\(437\) −1.44077 9.09663i −0.0689212 0.435151i
\(438\) −1.59133 1.12910i −0.0760369 0.0539505i
\(439\) 14.9946i 0.715655i −0.933788 0.357827i \(-0.883518\pi\)
0.933788 0.357827i \(-0.116482\pi\)
\(440\) −7.47425 + 11.1879i −0.356321 + 0.533363i
\(441\) 57.9083i 2.75754i
\(442\) 11.8255 16.6667i 0.562482 0.792753i
\(443\) −1.88479 11.9001i −0.0895490 0.565390i −0.991142 0.132805i \(-0.957602\pi\)
0.901593 0.432585i \(-0.142398\pi\)
\(444\) −11.4881 + 4.01999i −0.545201 + 0.190780i
\(445\) −7.10504 13.9444i −0.336811 0.661029i
\(446\) 29.1968 + 14.4660i 1.38251 + 0.684985i
\(447\) −1.66133 + 1.20703i −0.0785784 + 0.0570906i
\(448\) 31.3176 2.11243i 1.47962 0.0998032i
\(449\) −10.1879 31.3552i −0.480798 1.47975i −0.837975 0.545708i \(-0.816261\pi\)
0.357177 0.934037i \(-0.383739\pi\)
\(450\) 4.17250 28.4041i 0.196693 1.33898i
\(451\) −6.26865 + 8.73182i −0.295179 + 0.411166i
\(452\) 22.3291 + 6.70488i 1.05027 + 0.315371i
\(453\) 23.4889 46.0996i 1.10361 2.16595i
\(454\) 0.417790 + 37.2180i 0.0196078 + 1.74673i
\(455\) 14.5361 + 20.0073i 0.681464 + 0.937954i
\(456\) −12.6393 + 13.5206i −0.591890 + 0.633159i
\(457\) 18.2643 + 5.93443i 0.854368 + 0.277601i 0.703274 0.710919i \(-0.251721\pi\)
0.151093 + 0.988520i \(0.451721\pi\)
\(458\) 8.85577 28.3335i 0.413803 1.32394i
\(459\) −6.30892 39.8330i −0.294475 1.85924i
\(460\) 9.18135 + 8.77809i 0.428083 + 0.409281i
\(461\) −22.0424 + 22.0424i −1.02662 + 1.02662i −0.0269799 + 0.999636i \(0.508589\pi\)
−0.999636 + 0.0269799i \(0.991411\pi\)
\(462\) 47.4101 + 33.2361i 2.20572 + 1.54628i
\(463\) 14.6062 0.678809 0.339404 0.940641i \(-0.389775\pi\)
0.339404 + 0.940641i \(0.389775\pi\)
\(464\) 7.49122 + 13.2016i 0.347771 + 0.612871i
\(465\) 10.8266 + 7.86596i 0.502070 + 0.364775i
\(466\) 1.68522 0.882626i 0.0780661 0.0408869i
\(467\) −7.07454 13.8846i −0.327371 0.642501i 0.667393 0.744706i \(-0.267410\pi\)
−0.994763 + 0.102205i \(0.967410\pi\)
\(468\) −59.6543 + 10.8263i −2.75752 + 0.500445i
\(469\) −18.4466 2.92166i −0.851786 0.134910i
\(470\) 2.93515 0.0329484i 0.135388 0.00151980i
\(471\) −48.8634 + 15.8767i −2.25151 + 0.731558i
\(472\) 4.00045 1.45047i 0.184135 0.0667631i
\(473\) 22.0040 + 21.7557i 1.01175 + 1.00033i
\(474\) 11.2990 + 15.1902i 0.518978 + 0.697707i
\(475\) −2.77875 + 5.45360i −0.127498 + 0.250228i
\(476\) 20.5299 15.6319i 0.940988 0.716485i
\(477\) −7.25686 + 45.8180i −0.332269 + 2.09786i
\(478\) 36.2198 + 17.9457i 1.65665 + 0.820816i
\(479\) −8.46061 + 26.0391i −0.386575 + 1.18976i 0.548756 + 0.835982i \(0.315102\pi\)
−0.935331 + 0.353773i \(0.884898\pi\)
\(480\) 2.57266 25.3967i 0.117425 1.15919i
\(481\) 6.87680 + 4.99628i 0.313555 + 0.227811i
\(482\) 3.87615 0.658604i 0.176554 0.0299986i
\(483\) 38.6516 38.6516i 1.75871 1.75871i
\(484\) 20.6816 7.50152i 0.940071 0.340978i
\(485\) −17.9080 17.9080i −0.813160 0.813160i
\(486\) −15.9544 + 22.4859i −0.723707 + 1.01998i
\(487\) 14.9366 20.5585i 0.676842 0.931594i −0.323048 0.946383i \(-0.604708\pi\)
0.999891 + 0.0147888i \(0.00470761\pi\)
\(488\) −12.1043 8.18619i −0.547938 0.370572i
\(489\) −51.2000 16.6359i −2.31534 0.752301i
\(490\) 5.44325 + 16.1341i 0.245901 + 0.728864i
\(491\) −7.02032 1.11191i −0.316822 0.0501797i −0.00400188 0.999992i \(-0.501274\pi\)
−0.312821 + 0.949812i \(0.601274\pi\)
\(492\) 2.73722 20.2085i 0.123403 0.911068i
\(493\) 11.1182 + 5.66498i 0.500736 + 0.255138i
\(494\) 12.7888 + 1.87864i 0.575393 + 0.0845240i
\(495\) 23.0719 23.3352i 1.03700 1.04884i
\(496\) −9.90022 6.53479i −0.444533 0.293421i
\(497\) 0.837756 + 2.57835i 0.0375785 + 0.115655i
\(498\) 1.64372 + 1.60723i 0.0736570 + 0.0720216i
\(499\) −3.73657 + 23.5918i −0.167272 + 1.05611i 0.751040 + 0.660256i \(0.229552\pi\)
−0.918312 + 0.395857i \(0.870448\pi\)
\(500\) −4.06858 22.4184i −0.181952 1.00258i
\(501\) 16.9106 8.61638i 0.755509 0.384951i
\(502\) −8.61165 + 27.5525i −0.384357 + 1.22973i
\(503\) −10.1852 + 14.0188i −0.454138 + 0.625067i −0.973280 0.229621i \(-0.926251\pi\)
0.519143 + 0.854688i \(0.326251\pi\)
\(504\) −75.9723 9.42321i −3.38407 0.419743i
\(505\) 5.29392i 0.235576i
\(506\) −3.59528 20.4561i −0.159830 0.909387i
\(507\) 14.0408 + 14.0408i 0.623576 + 0.623576i
\(508\) −0.177067 7.88586i −0.00785609 0.349878i
\(509\) 4.38139 0.693944i 0.194202 0.0307585i −0.0585758 0.998283i \(-0.518656\pi\)
0.252777 + 0.967524i \(0.418656\pi\)
\(510\) −9.73612 18.5894i −0.431123 0.823151i
\(511\) −0.531710 + 1.63644i −0.0235215 + 0.0723916i
\(512\) −1.26771 + 22.5919i −0.0560253 + 0.998429i
\(513\) 20.6373 14.9939i 0.911161 0.661997i
\(514\) −17.6132 + 18.0132i −0.776886 + 0.794526i
\(515\) 8.18775 + 4.17187i 0.360795 + 0.183834i
\(516\) −56.2257 16.8832i −2.47520 0.743241i
\(517\) −3.89886 2.79902i −0.171472 0.123101i
\(518\) 6.40575 + 8.61180i 0.281453 + 0.378381i
\(519\) 10.0328 3.25986i 0.440391 0.143092i
\(520\) −15.6029 + 8.62374i −0.684234 + 0.378176i
\(521\) −15.4966 21.3292i −0.678919 0.934451i 0.321002 0.947079i \(-0.395980\pi\)
−0.999920 + 0.0126273i \(0.995980\pi\)
\(522\) −11.8344 35.0777i −0.517976 1.53531i
\(523\) 21.5361 10.9732i 0.941708 0.479824i 0.0854331 0.996344i \(-0.472773\pi\)
0.856275 + 0.516519i \(0.172773\pi\)
\(524\) −3.11991 + 6.47872i −0.136294 + 0.283024i
\(525\) −35.8793 + 5.68273i −1.56590 + 0.248015i
\(526\) −6.28464 36.9876i −0.274024 1.61274i
\(527\) −9.75176 −0.424794
\(528\) −27.9838 + 30.9678i −1.21784 + 1.34770i
\(529\) 3.39181 0.147470
\(530\) 2.28493 + 13.4477i 0.0992509 + 0.584131i
\(531\) −10.2505 + 1.62352i −0.444833 + 0.0704547i
\(532\) 14.7051 + 7.08142i 0.637547 + 0.307019i
\(533\) −12.6899 + 6.46585i −0.549662 + 0.280067i
\(534\) −15.5197 46.0011i −0.671601 1.99066i
\(535\) −12.2268 16.8287i −0.528611 0.727570i
\(536\) 3.72698 12.9374i 0.160981 0.558809i
\(537\) 71.6207 23.2710i 3.09066 1.00422i
\(538\) −4.64745 6.24797i −0.200366 0.269369i
\(539\) 8.45317 26.5274i 0.364104 1.14262i
\(540\) −10.1180 + 33.6958i −0.435410 + 1.45004i
\(541\) 26.6230 + 13.5651i 1.14461 + 0.583208i 0.920263 0.391301i \(-0.127975\pi\)
0.224348 + 0.974509i \(0.427975\pi\)
\(542\) −11.3333 + 11.5906i −0.486806 + 0.497859i
\(543\) 54.6822 39.7289i 2.34664 1.70493i
\(544\) 9.36125 + 16.0741i 0.401360 + 0.689171i
\(545\) −5.89266 + 18.1357i −0.252414 + 0.776850i
\(546\) 35.5934 + 67.9593i 1.52326 + 2.90839i
\(547\) 23.1913 3.67314i 0.991587 0.157052i 0.360496 0.932761i \(-0.382607\pi\)
0.631091 + 0.775709i \(0.282607\pi\)
\(548\) −1.95863 + 0.0439787i −0.0836686 + 0.00187868i
\(549\) 25.2005 + 25.2005i 1.07553 + 1.07553i
\(550\) −6.05769 + 12.4026i −0.258301 + 0.528851i
\(551\) 7.89269i 0.336240i
\(552\) 24.2215 + 31.0809i 1.03093 + 1.32289i
\(553\) 9.81287 13.5063i 0.417286 0.574344i
\(554\) 6.65401 21.2891i 0.282702 0.904489i
\(555\) 7.77715 3.96266i 0.330122 0.168205i
\(556\) 17.1647 3.11511i 0.727945 0.132110i
\(557\) 0.930422 5.87445i 0.0394232 0.248909i −0.960104 0.279642i \(-0.909784\pi\)
0.999528 + 0.0307333i \(0.00978426\pi\)
\(558\) 20.6860 + 20.2267i 0.875708 + 0.856266i
\(559\) 12.6695 + 38.9928i 0.535864 + 1.64922i
\(560\) −22.0528 + 4.51578i −0.931899 + 0.190827i
\(561\) −5.17519 + 33.9194i −0.218497 + 1.43208i
\(562\) −11.9984 1.76254i −0.506122 0.0743483i
\(563\) −11.1191 5.66546i −0.468613 0.238770i 0.203705 0.979032i \(-0.434702\pi\)
−0.672319 + 0.740262i \(0.734702\pi\)
\(564\) 9.02331 + 1.22220i 0.379950 + 0.0514638i
\(565\) −16.5138 2.61552i −0.694739 0.110036i
\(566\) −8.78542 26.0405i −0.369279 1.09456i
\(567\) 66.7632 + 21.6927i 2.80379 + 0.911007i
\(568\) −1.91887 + 0.370539i −0.0805141 + 0.0155475i
\(569\) 9.56785 13.1690i 0.401105 0.552074i −0.559916 0.828550i \(-0.689166\pi\)
0.961021 + 0.276476i \(0.0891665\pi\)
\(570\) 7.68077 10.8251i 0.321712 0.453415i
\(571\) 28.0009 + 28.0009i 1.17180 + 1.17180i 0.981780 + 0.190022i \(0.0608559\pi\)
0.190022 + 0.981780i \(0.439144\pi\)
\(572\) 28.9076 + 3.74860i 1.20869 + 0.156737i
\(573\) 29.6632 29.6632i 1.23920 1.23920i
\(574\) −17.7292 + 3.01241i −0.740004 + 0.125736i
\(575\) 10.5423 + 7.65945i 0.439646 + 0.319421i
\(576\) 13.4826 53.5140i 0.561776 2.22975i
\(577\) −5.44793 + 16.7670i −0.226800 + 0.698019i 0.771304 + 0.636467i \(0.219605\pi\)
−0.998104 + 0.0615521i \(0.980395\pi\)
\(578\) −7.84044 3.88467i −0.326119 0.161581i
\(579\) −8.65777 + 54.6630i −0.359805 + 2.27172i
\(580\) −6.59446 8.66077i −0.273820 0.359619i
\(581\) 0.920362 1.80631i 0.0381830 0.0749384i
\(582\) −46.8887 63.0365i −1.94360 2.61295i
\(583\) 10.0126 19.9296i 0.414680 0.825401i
\(584\) −1.12352 0.525590i −0.0464914 0.0217491i
\(585\) 41.3517 13.4360i 1.70968 0.555510i
\(586\) −35.6441 + 0.400122i −1.47245 + 0.0165289i
\(587\) −27.8062 4.40407i −1.14769 0.181775i −0.446520 0.894774i \(-0.647337\pi\)
−0.701166 + 0.712998i \(0.747337\pi\)
\(588\) 9.43213 + 51.9724i 0.388975 + 2.14330i
\(589\) −2.80029 5.49588i −0.115384 0.226454i
\(590\) −2.70333 + 1.41586i −0.111294 + 0.0582900i
\(591\) −20.6239 14.9841i −0.848352 0.616364i
\(592\) −6.72924 + 3.81848i −0.276570 + 0.156939i
\(593\) 4.79396 0.196864 0.0984321 0.995144i \(-0.468617\pi\)
0.0984321 + 0.995144i \(0.468617\pi\)
\(594\) 45.9616 34.5946i 1.88583 1.41943i
\(595\) −13.0851 + 13.0851i −0.536436 + 0.536436i
\(596\) −0.902115 + 0.943558i −0.0369521 + 0.0386496i
\(597\) 13.0259 + 82.2426i 0.533117 + 3.36597i
\(598\) 8.20968 26.2664i 0.335719 1.07411i
\(599\) −1.22058 0.396590i −0.0498714 0.0162042i 0.283975 0.958832i \(-0.408347\pi\)
−0.333846 + 0.942627i \(0.608347\pi\)
\(600\) −0.881680 26.1721i −0.0359944 1.06847i
\(601\) 6.85762 + 9.43871i 0.279728 + 0.385013i 0.925644 0.378396i \(-0.123524\pi\)
−0.645916 + 0.763409i \(0.723524\pi\)
\(602\) 0.581095 + 51.7657i 0.0236837 + 2.10981i
\(603\) −14.9074 + 29.2574i −0.607075 + 1.19145i
\(604\) 9.45888 31.5007i 0.384876 1.28175i
\(605\) −13.9754 + 7.32178i −0.568183 + 0.297673i
\(606\) −2.38679 + 16.2479i −0.0969566 + 0.660027i
\(607\) −11.4844 35.3453i −0.466137 1.43462i −0.857547 0.514405i \(-0.828013\pi\)
0.391411 0.920216i \(-0.371987\pi\)
\(608\) −6.37085 + 9.89159i −0.258372 + 0.401157i
\(609\) −37.8970 + 27.5338i −1.53566 + 1.11572i
\(610\) 9.39004 + 4.65245i 0.380192 + 0.188372i
\(611\) −2.88707 5.66620i −0.116798 0.229230i
\(612\) −14.9842 42.8210i −0.605700 1.73094i
\(613\) −1.61248 10.1808i −0.0651276 0.411200i −0.998616 0.0525921i \(-0.983252\pi\)
0.933488 0.358607i \(-0.116748\pi\)
\(614\) 1.81569 2.55901i 0.0732754 0.103273i
\(615\) 14.6248i 0.589729i
\(616\) 33.4269 + 15.4068i 1.34681 + 0.620757i
\(617\) 34.0742i 1.37178i −0.727706 0.685889i \(-0.759414\pi\)
0.727706 0.685889i \(-0.240586\pi\)
\(618\) 23.2487 + 16.4956i 0.935198 + 0.663552i
\(619\) −2.48340 15.6796i −0.0998164 0.630216i −0.985983 0.166848i \(-0.946641\pi\)
0.886166 0.463367i \(-0.153359\pi\)
\(620\) 7.66469 + 3.69103i 0.307821 + 0.148235i
\(621\) −24.6558 48.3898i −0.989404 1.94181i
\(622\) 0.907226 1.83105i 0.0363764 0.0734186i
\(623\) −34.6356 + 25.1642i −1.38765 + 1.00818i
\(624\) −51.7760 + 19.4331i −2.07270 + 0.777945i
\(625\) 0.502447 + 1.54637i 0.0200979 + 0.0618549i
\(626\) 22.6110 + 3.32151i 0.903719 + 0.132754i
\(627\) −20.6023 + 6.82358i −0.822778 + 0.272508i
\(628\) −28.7608 + 15.4772i −1.14768 + 0.617609i
\(629\) −2.88760 + 5.66723i −0.115136 + 0.225967i
\(630\) 54.8974 0.616249i 2.18716 0.0245519i
\(631\) −14.6339 20.1418i −0.582565 0.801832i 0.411409 0.911451i \(-0.365037\pi\)
−0.993974 + 0.109619i \(0.965037\pi\)
\(632\) 8.79157 + 8.21854i 0.349710 + 0.326916i
\(633\) −9.86723 3.20606i −0.392187 0.127429i
\(634\) −20.8442 6.51493i −0.827827 0.258741i
\(635\) 0.884911 + 5.58711i 0.0351166 + 0.221718i
\(636\) 0.949872 + 42.3034i 0.0376649 + 1.67744i
\(637\) 26.0850 26.0850i 1.03353 1.03353i
\(638\) 0.300770 + 17.7964i 0.0119076 + 0.704566i
\(639\) 4.76642 0.188557
\(640\) −1.27374 16.1771i −0.0503490 0.639457i
\(641\) −26.4142 19.1910i −1.04330 0.757999i −0.0723700 0.997378i \(-0.523056\pi\)
−0.970926 + 0.239379i \(0.923056\pi\)
\(642\) −29.9388 57.1627i −1.18159 2.25603i
\(643\) −1.59440 3.12918i −0.0628770 0.123403i 0.857429 0.514602i \(-0.172060\pi\)
−0.920306 + 0.391199i \(0.872060\pi\)
\(644\) 19.7883 28.5633i 0.779768 1.12555i
\(645\) 41.5824 + 6.58600i 1.63730 + 0.259324i
\(646\) 0.108568 + 9.67160i 0.00427156 + 0.380524i
\(647\) 12.3485 4.01226i 0.485469 0.157738i −0.0560483 0.998428i \(-0.517850\pi\)
0.541517 + 0.840690i \(0.317850\pi\)
\(648\) −21.4430 + 45.8372i −0.842360 + 1.80065i
\(649\) 4.93268 + 0.752595i 0.193625 + 0.0295419i
\(650\) −14.6743 + 10.9152i −0.575572 + 0.428130i
\(651\) 16.6198 32.6181i 0.651380 1.27841i
\(652\) −33.9130 4.59348i −1.32813 0.179894i
\(653\) 1.44769 9.14036i 0.0566525 0.357690i −0.943035 0.332693i \(-0.892043\pi\)
0.999688 0.0249964i \(-0.00795744\pi\)
\(654\) −26.2621 + 53.0049i −1.02693 + 2.07266i
\(655\) 1.59356 4.90447i 0.0622656 0.191634i
\(656\) −0.581878 12.9507i −0.0227185 0.505640i
\(657\) 2.44741 + 1.77815i 0.0954827 + 0.0693723i
\(658\) −1.34507 7.91630i −0.0524365 0.308610i
\(659\) 9.57189 9.57189i 0.372868 0.372868i −0.495653 0.868521i \(-0.665071\pi\)
0.868521 + 0.495653i \(0.165071\pi\)
\(660\) 16.9060 24.7012i 0.658067 0.961492i
\(661\) 35.7182 + 35.7182i 1.38928 + 1.38928i 0.826839 + 0.562439i \(0.190137\pi\)
0.562439 + 0.826839i \(0.309863\pi\)
\(662\) 28.1607 + 19.9809i 1.09450 + 0.776578i
\(663\) −26.7224 + 36.7802i −1.03781 + 1.42842i
\(664\) 1.21056 + 0.818703i 0.0469788 + 0.0317718i
\(665\) −11.1319 3.61699i −0.431678 0.140261i
\(666\) 17.8801 6.03231i 0.692839 0.233747i
\(667\) 16.5967 + 2.62866i 0.642627 + 0.101782i
\(668\) 9.59915 7.30896i 0.371402 0.282792i
\(669\) −64.5877 32.9091i −2.49711 1.27234i
\(670\) −1.40328 + 9.55280i −0.0542136 + 0.369057i
\(671\) −7.86555 15.2229i −0.303646 0.587672i
\(672\) −69.7196 + 3.91713i −2.68949 + 0.151106i
\(673\) −9.56982 29.4529i −0.368889 1.13533i −0.947509 0.319728i \(-0.896409\pi\)
0.578620 0.815597i \(-0.303591\pi\)
\(674\) 7.81302 7.99042i 0.300946 0.307779i
\(675\) −5.64608 + 35.6479i −0.217318 + 1.37209i
\(676\) 10.3761 + 7.18843i 0.399081 + 0.276478i
\(677\) −26.7565 + 13.6331i −1.02833 + 0.523962i −0.884941 0.465704i \(-0.845801\pi\)
−0.143393 + 0.989666i \(0.545801\pi\)
\(678\) −49.5043 15.4728i −1.90120 0.594228i
\(679\) −40.7217 + 56.0486i −1.56276 + 2.15095i
\(680\) −8.19990 10.5221i −0.314452 0.403503i
\(681\) 82.8029i 3.17301i
\(682\) −6.52352 12.2854i −0.249798 0.470432i
\(683\) 8.65052 + 8.65052i 0.331003 + 0.331003i 0.852967 0.521964i \(-0.174801\pi\)
−0.521964 + 0.852967i \(0.674801\pi\)
\(684\) 19.8302 20.7411i 0.758225 0.793057i
\(685\) 1.38768 0.219788i 0.0530207 0.00839765i
\(686\) 6.85498 3.59027i 0.261724 0.137077i
\(687\) −20.4074 + 62.8076i −0.778592 + 2.39626i
\(688\) −37.0845 4.17766i −1.41383 0.159272i
\(689\) 23.9078 17.3701i 0.910816 0.661746i
\(690\) −20.2050 19.7564i −0.769189 0.752112i
\(691\) 16.0471 + 8.17639i 0.610459 + 0.311045i 0.731751 0.681572i \(-0.238704\pi\)
−0.121291 + 0.992617i \(0.538704\pi\)
\(692\) 5.90528 3.17784i 0.224485 0.120803i
\(693\) −72.9221 52.3514i −2.77008 1.98867i
\(694\) 39.5160 29.3934i 1.50001 1.11576i
\(695\) −11.8984 + 3.86602i −0.451331 + 0.146646i
\(696\) −16.3348 29.5545i −0.619168 1.12026i
\(697\) −6.26410 8.62180i −0.237270 0.326574i
\(698\) −8.70149 + 2.93567i −0.329356 + 0.111117i
\(699\) −3.77085 + 1.92134i −0.142627 + 0.0726719i
\(700\) −21.7967 + 7.62725i −0.823839 + 0.288283i
\(701\) 39.2124 6.21064i 1.48103 0.234573i 0.637000 0.770863i \(-0.280175\pi\)
0.844033 + 0.536291i \(0.180175\pi\)
\(702\) 75.1443 12.7679i 2.83614 0.481894i
\(703\) −4.02312 −0.151735
\(704\) −13.9880 + 22.5463i −0.527194 + 0.849745i
\(705\) −6.53014 −0.245939
\(706\) 39.1488 6.65185i 1.47338 0.250346i
\(707\) 14.3035 2.26546i 0.537939 0.0852012i
\(708\) −8.93532 + 3.12671i −0.335810 + 0.117509i
\(709\) 23.5796 12.0144i 0.885551 0.451211i 0.0488092 0.998808i \(-0.484457\pi\)
0.836742 + 0.547597i \(0.184457\pi\)
\(710\) 1.32800 0.448033i 0.0498388 0.0168144i
\(711\) −17.2525 23.7461i −0.647021 0.890548i
\(712\) −14.9290 27.0110i −0.559488 1.01228i
\(713\) −12.4893 + 4.05803i −0.467729 + 0.151974i
\(714\) −46.0597 + 34.2608i −1.72374 + 1.28218i
\(715\) −20.9043 + 0.118612i −0.781776 + 0.00443585i
\(716\) 42.1557 22.6855i 1.57543 0.847796i
\(717\) −80.1237 40.8251i −2.99228 1.52464i
\(718\) −19.4833 19.0507i −0.727109 0.710966i
\(719\) −39.8075 + 28.9218i −1.48457 + 1.07860i −0.508520 + 0.861050i \(0.669807\pi\)
−0.976049 + 0.217552i \(0.930193\pi\)
\(720\) −4.43040 + 39.3280i −0.165111 + 1.46567i
\(721\) 7.76804 23.9076i 0.289297 0.890364i
\(722\) 18.3834 9.62826i 0.684160 0.358327i
\(723\) −8.63904 + 1.36829i −0.321290 + 0.0508873i
\(724\) 29.6928 31.0568i 1.10352 1.15422i
\(725\) −7.89639 7.89639i −0.293264 0.293264i
\(726\) −46.1940 + 16.1709i −1.71442 + 0.600158i
\(727\) 20.3755i 0.755685i 0.925870 + 0.377842i \(0.123334\pi\)
−0.925870 + 0.377842i \(0.876666\pi\)
\(728\) 29.9773 + 38.4668i 1.11103 + 1.42567i
\(729\) 4.50342 6.19843i 0.166793 0.229571i
\(730\) 0.849028 + 0.265367i 0.0314239 + 0.00982169i
\(731\) −27.3351 + 13.9279i −1.01102 + 0.515143i
\(732\) 26.7220 + 18.5127i 0.987675 + 0.684248i
\(733\) −3.42068 + 21.5973i −0.126346 + 0.797716i 0.840398 + 0.541970i \(0.182321\pi\)
−0.966744 + 0.255746i \(0.917679\pi\)
\(734\) −5.65625 + 5.78468i −0.208776 + 0.213516i
\(735\) −11.7058 36.0267i −0.431774 1.32886i
\(736\) 18.6782 + 16.6910i 0.688486 + 0.615237i
\(737\) 11.0998 11.2265i 0.408867 0.413534i
\(738\) −4.59523 + 31.2818i −0.169153 + 1.15150i
\(739\) −4.29273 2.18726i −0.157911 0.0804595i 0.373249 0.927731i \(-0.378244\pi\)
−0.531160 + 0.847272i \(0.678244\pi\)
\(740\) 4.41463 3.36138i 0.162285 0.123567i
\(741\) −28.4020 4.49844i −1.04337 0.165254i
\(742\) 35.3562 11.9283i 1.29797 0.437903i
\(743\) −14.9471 4.85662i −0.548357 0.178172i 0.0217186 0.999764i \(-0.493086\pi\)
−0.570076 + 0.821592i \(0.693086\pi\)
\(744\) 21.8601 + 14.7840i 0.801431 + 0.542009i
\(745\) 0.550271 0.757383i 0.0201604 0.0277484i
\(746\) 10.7752 + 7.64530i 0.394506 + 0.279914i
\(747\) −2.52031 2.52031i −0.0922133 0.0922133i
\(748\) 0.613360 + 21.8034i 0.0224266 + 0.797210i
\(749\) −40.2369 + 40.2369i −1.47022 + 1.47022i
\(750\) 8.49084 + 49.9720i 0.310042 + 1.82472i
\(751\) 1.15570 + 0.839668i 0.0421722 + 0.0306399i 0.608672 0.793422i \(-0.291703\pi\)
−0.566499 + 0.824062i \(0.691703\pi\)
\(752\) 5.78263 0.259815i 0.210871 0.00947448i
\(753\) 19.8449 61.0762i 0.723187 2.22574i
\(754\) −10.4701 + 21.1318i −0.381297 + 0.769573i
\(755\) −3.68984 + 23.2967i −0.134287 + 0.847855i
\(756\) 95.3718 + 12.9180i 3.46864 + 0.469824i
\(757\) 5.65800 11.1044i 0.205643 0.403598i −0.765032 0.643992i \(-0.777277\pi\)
0.970675 + 0.240395i \(0.0772768\pi\)
\(758\) −28.3566 + 21.0926i −1.02996 + 0.766117i
\(759\) 7.48698 + 45.5950i 0.271760 + 1.65499i
\(760\) 3.57535 7.64278i 0.129692 0.277233i
\(761\) −15.2518 + 4.95561i −0.552878 + 0.179641i −0.572114 0.820174i \(-0.693876\pi\)
0.0192364 + 0.999815i \(0.493876\pi\)
\(762\) 0.196970 + 17.5467i 0.00713548 + 0.635651i
\(763\) 51.5222 + 8.16032i 1.86523 + 0.295423i
\(764\) 15.1865 21.9209i 0.549429 0.793071i
\(765\) 14.7705 + 28.9887i 0.534029 + 1.04809i
\(766\) −12.8338 24.5039i −0.463705 0.885361i
\(767\) 5.34870 + 3.88606i 0.193130 + 0.140317i