Properties

Label 135.2.q.a.32.3
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.3
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.174019 + 1.98905i) q^{2} +(-1.19471 + 1.25406i) q^{3} +(-1.95641 - 0.344968i) q^{4} +(-1.97598 - 1.04667i) q^{5} +(-2.28648 - 2.59457i) q^{6} +(-0.808730 + 1.15499i) q^{7} +(-0.00692938 + 0.0258608i) q^{8} +(-0.145327 - 2.99648i) q^{9} +O(q^{10})\) \(q+(-0.174019 + 1.98905i) q^{2} +(-1.19471 + 1.25406i) q^{3} +(-1.95641 - 0.344968i) q^{4} +(-1.97598 - 1.04667i) q^{5} +(-2.28648 - 2.59457i) q^{6} +(-0.808730 + 1.15499i) q^{7} +(-0.00692938 + 0.0258608i) q^{8} +(-0.145327 - 2.99648i) q^{9} +(2.42573 - 3.74817i) q^{10} +(-1.21986 + 3.35154i) q^{11} +(2.76996 - 2.04132i) q^{12} +(3.03799 - 0.265789i) q^{13} +(-2.15659 - 1.80959i) q^{14} +(3.67331 - 1.22753i) q^{15} +(-3.78380 - 1.37719i) q^{16} +(1.05009 + 3.91899i) q^{17} +(5.98543 + 0.232383i) q^{18} +(1.42357 - 0.821896i) q^{19} +(3.50476 + 2.72936i) q^{20} +(-0.482221 - 2.39407i) q^{21} +(-6.45408 - 3.00959i) q^{22} +(-5.24614 + 3.67339i) q^{23} +(-0.0241523 - 0.0395861i) q^{24} +(2.80898 + 4.13638i) q^{25} +6.08895i q^{26} +(3.93138 + 3.39768i) q^{27} +(1.98064 - 1.98064i) q^{28} +(2.12205 - 1.78061i) q^{29} +(1.80238 + 7.51999i) q^{30} +(-1.13538 + 6.43905i) q^{31} +(3.37512 - 7.23797i) q^{32} +(-2.74564 - 5.53389i) q^{33} +(-7.97779 + 1.40670i) q^{34} +(2.80692 - 1.43576i) q^{35} +(-0.749370 + 5.91247i) q^{36} +(-2.80529 + 0.751675i) q^{37} +(1.38706 + 2.97456i) q^{38} +(-3.29620 + 4.12736i) q^{39} +(0.0407599 - 0.0438476i) q^{40} +(5.92728 - 7.06386i) q^{41} +(4.84583 - 0.542546i) q^{42} +(5.17078 - 2.41117i) q^{43} +(3.54272 - 6.13617i) q^{44} +(-2.84915 + 6.07308i) q^{45} +(-6.39361 - 11.0741i) q^{46} +(6.52449 + 4.56850i) q^{47} +(6.24763 - 3.09976i) q^{48} +(1.71419 + 4.70971i) q^{49} +(-8.71627 + 4.86738i) q^{50} +(-6.16920 - 3.36519i) q^{51} +(-6.03524 - 0.528015i) q^{52} +(-8.37726 - 8.37726i) q^{53} +(-7.44228 + 7.22844i) q^{54} +(5.91836 - 5.34577i) q^{55} +(-0.0242649 - 0.0289177i) q^{56} +(-0.670045 + 2.76716i) q^{57} +(3.17244 + 4.53071i) q^{58} +(13.4607 - 4.89929i) q^{59} +(-7.60995 + 1.13437i) q^{60} +(1.11559 + 6.32681i) q^{61} +(-12.6100 - 3.37884i) q^{62} +(3.57842 + 2.25549i) q^{63} +(6.83499 + 3.94619i) q^{64} +(-6.28119 - 2.65457i) q^{65} +(11.4850 - 4.49821i) q^{66} +(-1.01692 - 11.6234i) q^{67} +(-0.702481 - 8.02940i) q^{68} +(1.66098 - 10.9676i) q^{69} +(2.36733 + 5.83294i) q^{70} +(0.966172 + 0.557819i) q^{71} +(0.0784983 + 0.0170055i) q^{72} +(-8.19480 - 2.19579i) q^{73} +(-1.00694 - 5.71065i) q^{74} +(-8.54318 - 1.41916i) q^{75} +(-3.06861 + 1.11688i) q^{76} +(-2.88444 - 4.11941i) q^{77} +(-7.63590 - 7.27454i) q^{78} +(3.51532 + 4.18939i) q^{79} +(6.03525 + 6.68168i) q^{80} +(-8.95776 + 0.870937i) q^{81} +(13.0189 + 13.0189i) q^{82} +(-6.05220 - 0.529499i) q^{83} +(0.117545 + 4.85013i) q^{84} +(2.02692 - 8.84293i) q^{85} +(3.89612 + 10.7045i) q^{86} +(-0.302247 + 4.78848i) q^{87} +(-0.0782205 - 0.0547706i) q^{88} +(0.0742532 + 0.128610i) q^{89} +(-11.5838 - 6.72393i) q^{90} +(-2.14993 + 3.72378i) q^{91} +(11.5308 - 5.37690i) q^{92} +(-6.71849 - 9.11664i) q^{93} +(-10.2223 + 12.1825i) q^{94} +(-3.67319 + 0.134049i) q^{95} +(5.04455 + 12.8799i) q^{96} +(5.45218 + 11.6922i) q^{97} +(-9.66613 + 2.59003i) q^{98} +(10.2201 + 3.16821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.174019 + 1.98905i −0.123050 + 1.40647i 0.644071 + 0.764966i \(0.277244\pi\)
−0.767121 + 0.641503i \(0.778311\pi\)
\(3\) −1.19471 + 1.25406i −0.689767 + 0.724031i
\(4\) −1.95641 0.344968i −0.978205 0.172484i
\(5\) −1.97598 1.04667i −0.883684 0.468084i
\(6\) −2.28648 2.59457i −0.933451 1.05923i
\(7\) −0.808730 + 1.15499i −0.305671 + 0.436543i −0.942372 0.334567i \(-0.891410\pi\)
0.636701 + 0.771111i \(0.280299\pi\)
\(8\) −0.00692938 + 0.0258608i −0.00244991 + 0.00914317i
\(9\) −0.145327 2.99648i −0.0484422 0.998826i
\(10\) 2.42573 3.74817i 0.767082 1.18528i
\(11\) −1.21986 + 3.35154i −0.367801 + 1.01053i 0.608394 + 0.793635i \(0.291814\pi\)
−0.976196 + 0.216891i \(0.930408\pi\)
\(12\) 2.76996 2.04132i 0.799618 0.589277i
\(13\) 3.03799 0.265789i 0.842586 0.0737167i 0.342315 0.939585i \(-0.388789\pi\)
0.500271 + 0.865869i \(0.333234\pi\)
\(14\) −2.15659 1.80959i −0.576372 0.483633i
\(15\) 3.67331 1.22753i 0.948444 0.316946i
\(16\) −3.78380 1.37719i −0.945951 0.344298i
\(17\) 1.05009 + 3.91899i 0.254684 + 0.950495i 0.968266 + 0.249922i \(0.0804051\pi\)
−0.713582 + 0.700572i \(0.752928\pi\)
\(18\) 5.98543 + 0.232383i 1.41078 + 0.0547731i
\(19\) 1.42357 0.821896i 0.326588 0.188556i −0.327737 0.944769i \(-0.606286\pi\)
0.654325 + 0.756213i \(0.272953\pi\)
\(20\) 3.50476 + 2.72936i 0.783687 + 0.610303i
\(21\) −0.482221 2.39407i −0.105229 0.522429i
\(22\) −6.45408 3.00959i −1.37602 0.641646i
\(23\) −5.24614 + 3.67339i −1.09390 + 0.765954i −0.973936 0.226824i \(-0.927166\pi\)
−0.119960 + 0.992779i \(0.538277\pi\)
\(24\) −0.0241523 0.0395861i −0.00493008 0.00808047i
\(25\) 2.80898 + 4.13638i 0.561795 + 0.827276i
\(26\) 6.08895i 1.19414i
\(27\) 3.93138 + 3.39768i 0.756595 + 0.653884i
\(28\) 1.98064 1.98064i 0.374306 0.374306i
\(29\) 2.12205 1.78061i 0.394054 0.330651i −0.424136 0.905599i \(-0.639422\pi\)
0.818190 + 0.574948i \(0.194978\pi\)
\(30\) 1.80238 + 7.51999i 0.329069 + 1.37296i
\(31\) −1.13538 + 6.43905i −0.203920 + 1.15649i 0.695211 + 0.718806i \(0.255311\pi\)
−0.899130 + 0.437681i \(0.855800\pi\)
\(32\) 3.37512 7.23797i 0.596643 1.27951i
\(33\) −2.74564 5.53389i −0.477955 0.963327i
\(34\) −7.97779 + 1.40670i −1.36818 + 0.241247i
\(35\) 2.80692 1.43576i 0.474456 0.242687i
\(36\) −0.749370 + 5.91247i −0.124895 + 0.985412i
\(37\) −2.80529 + 0.751675i −0.461186 + 0.123575i −0.481929 0.876210i \(-0.660064\pi\)
0.0207425 + 0.999785i \(0.493397\pi\)
\(38\) 1.38706 + 2.97456i 0.225011 + 0.482538i
\(39\) −3.29620 + 4.12736i −0.527815 + 0.660906i
\(40\) 0.0407599 0.0438476i 0.00644471 0.00693292i
\(41\) 5.92728 7.06386i 0.925686 1.10319i −0.0687280 0.997635i \(-0.521894\pi\)
0.994414 0.105554i \(-0.0336615\pi\)
\(42\) 4.84583 0.542546i 0.747728 0.0837167i
\(43\) 5.17078 2.41117i 0.788536 0.367701i 0.0137353 0.999906i \(-0.495628\pi\)
0.774801 + 0.632205i \(0.217850\pi\)
\(44\) 3.54272 6.13617i 0.534085 0.925062i
\(45\) −2.84915 + 6.07308i −0.424726 + 0.905322i
\(46\) −6.39361 11.0741i −0.942687 1.63278i
\(47\) 6.52449 + 4.56850i 0.951695 + 0.666384i 0.942723 0.333576i \(-0.108255\pi\)
0.00897134 + 0.999960i \(0.497144\pi\)
\(48\) 6.24763 3.09976i 0.901768 0.447412i
\(49\) 1.71419 + 4.70971i 0.244885 + 0.672815i
\(50\) −8.71627 + 4.86738i −1.23267 + 0.688351i
\(51\) −6.16920 3.36519i −0.863861 0.471221i
\(52\) −6.03524 0.528015i −0.836937 0.0732225i
\(53\) −8.37726 8.37726i −1.15070 1.15070i −0.986412 0.164293i \(-0.947466\pi\)
−0.164293 0.986412i \(-0.552534\pi\)
\(54\) −7.44228 + 7.22844i −1.01277 + 0.983667i
\(55\) 5.91836 5.34577i 0.798031 0.720824i
\(56\) −0.0242649 0.0289177i −0.00324253 0.00386429i
\(57\) −0.670045 + 2.76716i −0.0887496 + 0.366520i
\(58\) 3.17244 + 4.53071i 0.416561 + 0.594911i
\(59\) 13.4607 4.89929i 1.75243 0.637833i 0.752643 0.658429i \(-0.228779\pi\)
0.999788 + 0.0205964i \(0.00655651\pi\)
\(60\) −7.60995 + 1.13437i −0.982440 + 0.146447i
\(61\) 1.11559 + 6.32681i 0.142836 + 0.810066i 0.969079 + 0.246751i \(0.0793630\pi\)
−0.826242 + 0.563315i \(0.809526\pi\)
\(62\) −12.6100 3.37884i −1.60147 0.429113i
\(63\) 3.57842 + 2.25549i 0.450838 + 0.284165i
\(64\) 6.83499 + 3.94619i 0.854374 + 0.493273i
\(65\) −6.28119 2.65457i −0.779085 0.329258i
\(66\) 11.4850 4.49821i 1.41370 0.553691i
\(67\) −1.01692 11.6234i −0.124236 1.42002i −0.760893 0.648877i \(-0.775239\pi\)
0.636658 0.771147i \(-0.280317\pi\)
\(68\) −0.702481 8.02940i −0.0851884 0.973708i
\(69\) 1.66098 10.9676i 0.199959 1.32034i
\(70\) 2.36733 + 5.83294i 0.282950 + 0.697169i
\(71\) 0.966172 + 0.557819i 0.114663 + 0.0662010i 0.556235 0.831025i \(-0.312245\pi\)
−0.441571 + 0.897226i \(0.645579\pi\)
\(72\) 0.0784983 + 0.0170055i 0.00925112 + 0.00200411i
\(73\) −8.19480 2.19579i −0.959129 0.256998i −0.254898 0.966968i \(-0.582042\pi\)
−0.704232 + 0.709970i \(0.748708\pi\)
\(74\) −1.00694 5.71065i −0.117055 0.663850i
\(75\) −8.54318 1.41916i −0.986482 0.163871i
\(76\) −3.06861 + 1.11688i −0.351993 + 0.128115i
\(77\) −2.88444 4.11941i −0.328712 0.469450i
\(78\) −7.63590 7.27454i −0.864596 0.823680i
\(79\) 3.51532 + 4.18939i 0.395504 + 0.471344i 0.926644 0.375941i \(-0.122680\pi\)
−0.531139 + 0.847284i \(0.678236\pi\)
\(80\) 6.03525 + 6.68168i 0.674761 + 0.747035i
\(81\) −8.95776 + 0.870937i −0.995307 + 0.0967707i
\(82\) 13.0189 + 13.0189i 1.43770 + 1.43770i
\(83\) −6.05220 0.529499i −0.664315 0.0581201i −0.249989 0.968249i \(-0.580427\pi\)
−0.414326 + 0.910129i \(0.635983\pi\)
\(84\) 0.117545 + 4.85013i 0.0128252 + 0.529193i
\(85\) 2.02692 8.84293i 0.219850 0.959151i
\(86\) 3.89612 + 10.7045i 0.420130 + 1.15430i
\(87\) −0.302247 + 4.78848i −0.0324042 + 0.513379i
\(88\) −0.0782205 0.0547706i −0.00833833 0.00583856i
\(89\) 0.0742532 + 0.128610i 0.00787082 + 0.0136327i 0.869934 0.493168i \(-0.164161\pi\)
−0.862063 + 0.506801i \(0.830828\pi\)
\(90\) −11.5838 6.72393i −1.22104 0.708764i
\(91\) −2.14993 + 3.72378i −0.225374 + 0.390358i
\(92\) 11.5308 5.37690i 1.20217 0.560581i
\(93\) −6.71849 9.11664i −0.696675 0.945351i
\(94\) −10.2223 + 12.1825i −1.05435 + 1.25653i
\(95\) −3.67319 + 0.134049i −0.376861 + 0.0137532i
\(96\) 5.04455 + 12.8799i 0.514857 + 1.31455i
\(97\) 5.45218 + 11.6922i 0.553585 + 1.18717i 0.961667 + 0.274222i \(0.0884202\pi\)
−0.408081 + 0.912946i \(0.633802\pi\)
\(98\) −9.66613 + 2.59003i −0.976427 + 0.261633i
\(99\) 10.2201 + 3.16821i 1.02716 + 0.318417i
\(100\) −4.06859 9.06146i −0.406859 0.906146i
\(101\) −5.20108 + 0.917090i −0.517526 + 0.0912539i −0.426310 0.904577i \(-0.640187\pi\)
−0.0912166 + 0.995831i \(0.529076\pi\)
\(102\) 7.76708 11.6852i 0.769055 1.15701i
\(103\) −1.36382 + 2.92471i −0.134381 + 0.288181i −0.961971 0.273153i \(-0.911934\pi\)
0.827590 + 0.561333i \(0.189711\pi\)
\(104\) −0.0141778 + 0.0804065i −0.00139025 + 0.00788451i
\(105\) −1.55294 + 5.23535i −0.151551 + 0.510918i
\(106\) 18.1206 15.2050i 1.76002 1.47684i
\(107\) −9.12902 + 9.12902i −0.882536 + 0.882536i −0.993792 0.111256i \(-0.964513\pi\)
0.111256 + 0.993792i \(0.464513\pi\)
\(108\) −6.51931 8.00346i −0.627321 0.770133i
\(109\) 7.32304i 0.701420i −0.936484 0.350710i \(-0.885940\pi\)
0.936484 0.350710i \(-0.114060\pi\)
\(110\) 9.60309 + 12.7022i 0.915619 + 1.21110i
\(111\) 2.40887 4.41603i 0.228639 0.419151i
\(112\) 4.65071 3.25646i 0.439451 0.307707i
\(113\) 13.7937 + 6.43209i 1.29760 + 0.605081i 0.943885 0.330273i \(-0.107141\pi\)
0.353714 + 0.935354i \(0.384919\pi\)
\(114\) −5.38742 1.81429i −0.504578 0.169924i
\(115\) 14.2111 1.76757i 1.32519 0.164827i
\(116\) −4.76585 + 2.75156i −0.442498 + 0.255476i
\(117\) −1.23793 9.06463i −0.114447 0.838026i
\(118\) 7.40249 + 27.6265i 0.681455 + 2.54322i
\(119\) −5.37561 1.95656i −0.492782 0.179358i
\(120\) 0.00629109 + 0.103501i 0.000574296 + 0.00944827i
\(121\) −1.31824 1.10614i −0.119840 0.100558i
\(122\) −12.7785 + 1.11797i −1.15691 + 0.101216i
\(123\) 1.77710 + 15.8724i 0.160236 + 1.43117i
\(124\) 4.44253 12.2057i 0.398951 1.09611i
\(125\) −1.22106 11.1135i −0.109215 0.994018i
\(126\) −5.10899 + 6.72514i −0.455145 + 0.599124i
\(127\) −1.72091 + 6.42251i −0.152706 + 0.569905i 0.846585 + 0.532253i \(0.178655\pi\)
−0.999291 + 0.0376522i \(0.988012\pi\)
\(128\) 0.122848 0.175446i 0.0108584 0.0155074i
\(129\) −3.15384 + 9.36512i −0.277680 + 0.824553i
\(130\) 6.37310 12.0316i 0.558958 1.05524i
\(131\) 11.6386 + 2.05219i 1.01687 + 0.179301i 0.657149 0.753761i \(-0.271762\pi\)
0.359717 + 0.933062i \(0.382873\pi\)
\(132\) 3.46259 + 11.7737i 0.301379 + 1.02477i
\(133\) −0.202002 + 2.30889i −0.0175158 + 0.200206i
\(134\) 23.2964 2.01251
\(135\) −4.21209 10.8286i −0.362519 0.931976i
\(136\) −0.108625 −0.00931449
\(137\) 1.05604 12.0706i 0.0902237 1.03126i −0.807255 0.590203i \(-0.799048\pi\)
0.897478 0.441059i \(-0.145397\pi\)
\(138\) 21.5260 + 5.21235i 1.83242 + 0.443704i
\(139\) −12.8272 2.26177i −1.08799 0.191841i −0.399242 0.916846i \(-0.630727\pi\)
−0.688744 + 0.725005i \(0.741838\pi\)
\(140\) −5.98677 + 1.84063i −0.505974 + 0.155562i
\(141\) −13.5240 + 2.72406i −1.13893 + 0.229407i
\(142\) −1.27766 + 1.82469i −0.107219 + 0.153125i
\(143\) −2.81511 + 10.5061i −0.235412 + 0.878568i
\(144\) −3.57684 + 11.5382i −0.298070 + 0.961519i
\(145\) −6.05682 + 1.29737i −0.502992 + 0.107740i
\(146\) 5.79358 15.9177i 0.479480 1.31736i
\(147\) −7.95422 3.47704i −0.656053 0.286782i
\(148\) 5.74760 0.502850i 0.472450 0.0413340i
\(149\) −2.75179 2.30902i −0.225435 0.189162i 0.523074 0.852288i \(-0.324785\pi\)
−0.748509 + 0.663125i \(0.769230\pi\)
\(150\) 4.30946 16.7458i 0.351866 1.36729i
\(151\) 0.415850 + 0.151357i 0.0338414 + 0.0123173i 0.358885 0.933382i \(-0.383157\pi\)
−0.325044 + 0.945699i \(0.605379\pi\)
\(152\) 0.0113905 + 0.0425098i 0.000923888 + 0.00344800i
\(153\) 11.5906 3.71611i 0.937041 0.300429i
\(154\) 8.69564 5.02043i 0.700715 0.404558i
\(155\) 8.98302 11.5351i 0.721533 0.926518i
\(156\) 7.87253 6.93772i 0.630307 0.555462i
\(157\) −1.15550 0.538818i −0.0922189 0.0430024i 0.375961 0.926635i \(-0.377312\pi\)
−0.468180 + 0.883633i \(0.655090\pi\)
\(158\) −8.94463 + 6.26310i −0.711597 + 0.498265i
\(159\) 20.5140 0.497163i 1.62686 0.0394276i
\(160\) −14.2449 + 10.7694i −1.12616 + 0.851400i
\(161\) 9.02999i 0.711663i
\(162\) −0.173513 17.9690i −0.0136325 1.41178i
\(163\) −2.53097 + 2.53097i −0.198241 + 0.198241i −0.799245 0.601005i \(-0.794767\pi\)
0.601005 + 0.799245i \(0.294767\pi\)
\(164\) −14.0330 + 11.7751i −1.09579 + 0.919479i
\(165\) −0.366816 + 13.8086i −0.0285566 + 1.07500i
\(166\) 2.10640 11.9460i 0.163488 0.927187i
\(167\) 5.09841 10.9336i 0.394527 0.846066i −0.604258 0.796789i \(-0.706530\pi\)
0.998785 0.0492772i \(-0.0156918\pi\)
\(168\) 0.0652540 + 0.00411880i 0.00503446 + 0.000317772i
\(169\) −3.64378 + 0.642497i −0.280291 + 0.0494228i
\(170\) 17.2363 + 5.57048i 1.32196 + 0.427236i
\(171\) −2.66968 4.14624i −0.204155 0.317071i
\(172\) −10.9479 + 2.93349i −0.834773 + 0.223677i
\(173\) 2.45576 + 5.26639i 0.186708 + 0.400397i 0.977274 0.211980i \(-0.0679913\pi\)
−0.790566 + 0.612377i \(0.790214\pi\)
\(174\) −9.47192 1.43447i −0.718065 0.108747i
\(175\) −7.04916 0.100886i −0.532867 0.00762623i
\(176\) 9.23141 11.0016i 0.695844 0.829274i
\(177\) −9.93764 + 22.7337i −0.746959 + 1.70877i
\(178\) −0.268733 + 0.125312i −0.0201424 + 0.00939256i
\(179\) −9.76891 + 16.9203i −0.730163 + 1.26468i 0.226651 + 0.973976i \(0.427222\pi\)
−0.956813 + 0.290703i \(0.906111\pi\)
\(180\) 7.66913 10.8986i 0.571623 0.812332i
\(181\) 5.30360 + 9.18610i 0.394213 + 0.682797i 0.993000 0.118111i \(-0.0376838\pi\)
−0.598787 + 0.800908i \(0.704350\pi\)
\(182\) −7.03265 4.92432i −0.521295 0.365015i
\(183\) −9.26700 6.15971i −0.685037 0.455339i
\(184\) −0.0586442 0.161124i −0.00432331 0.0118782i
\(185\) 6.32994 + 1.45091i 0.465386 + 0.106673i
\(186\) 19.3026 11.7769i 1.41533 0.863527i
\(187\) −14.4156 1.26120i −1.05417 0.0922282i
\(188\) −11.1886 11.1886i −0.816012 0.816012i
\(189\) −7.10370 + 1.79289i −0.516718 + 0.130413i
\(190\) 0.372574 7.32947i 0.0270293 0.531735i
\(191\) −3.07377 3.66318i −0.222410 0.265058i 0.643288 0.765624i \(-0.277570\pi\)
−0.865698 + 0.500566i \(0.833125\pi\)
\(192\) −13.1146 + 3.85693i −0.946464 + 0.278350i
\(193\) 3.12066 + 4.45676i 0.224630 + 0.320804i 0.915609 0.402070i \(-0.131709\pi\)
−0.690979 + 0.722875i \(0.742820\pi\)
\(194\) −24.2052 + 8.80997i −1.73783 + 0.632519i
\(195\) 10.8332 4.70554i 0.775781 0.336970i
\(196\) −1.72897 9.80546i −0.123498 0.700390i
\(197\) −7.75934 2.07911i −0.552830 0.148130i −0.0284197 0.999596i \(-0.509048\pi\)
−0.524410 + 0.851466i \(0.675714\pi\)
\(198\) −8.08021 + 19.7769i −0.574236 + 1.40548i
\(199\) −10.5312 6.08020i −0.746539 0.431014i 0.0779033 0.996961i \(-0.475177\pi\)
−0.824442 + 0.565947i \(0.808511\pi\)
\(200\) −0.126435 + 0.0439798i −0.00894027 + 0.00310984i
\(201\) 15.7913 + 12.6113i 1.11384 + 0.889535i
\(202\) −0.919049 10.5048i −0.0646641 0.739114i
\(203\) 0.340415 + 3.89096i 0.0238925 + 0.273092i
\(204\) 10.9086 + 8.71187i 0.763755 + 0.609953i
\(205\) −19.1057 + 7.75414i −1.33440 + 0.541573i
\(206\) −5.58006 3.22165i −0.388781 0.224463i
\(207\) 11.7696 + 15.1861i 0.818046 + 1.05551i
\(208\) −11.8612 3.17819i −0.822425 0.220368i
\(209\) 1.01806 + 5.77373i 0.0704210 + 0.399377i
\(210\) −10.1431 3.99991i −0.699942 0.276020i
\(211\) 2.80282 1.02014i 0.192954 0.0702295i −0.243736 0.969842i \(-0.578373\pi\)
0.436690 + 0.899612i \(0.356151\pi\)
\(212\) 13.4995 + 19.2792i 0.927147 + 1.32410i
\(213\) −1.85384 + 0.545202i −0.127023 + 0.0373567i
\(214\) −16.5694 19.7467i −1.13266 1.34985i
\(215\) −12.7410 0.647657i −0.868932 0.0441698i
\(216\) −0.115109 + 0.0781249i −0.00783216 + 0.00531573i
\(217\) −6.51879 6.51879i −0.442524 0.442524i
\(218\) 14.5659 + 1.27435i 0.986525 + 0.0863097i
\(219\) 12.5441 7.65343i 0.847650 0.517171i
\(220\) −13.4229 + 8.41688i −0.904968 + 0.567466i
\(221\) 4.23179 + 11.6267i 0.284661 + 0.782099i
\(222\) 8.36450 + 5.55982i 0.561389 + 0.373151i
\(223\) −6.63181 4.64364i −0.444099 0.310961i 0.330052 0.943963i \(-0.392934\pi\)
−0.774151 + 0.633002i \(0.781823\pi\)
\(224\) 5.63019 + 9.75178i 0.376183 + 0.651568i
\(225\) 11.9864 9.01816i 0.799090 0.601211i
\(226\) −15.1941 + 26.3170i −1.01070 + 1.75058i
\(227\) 6.98639 3.25781i 0.463703 0.216228i −0.176704 0.984264i \(-0.556544\pi\)
0.640407 + 0.768036i \(0.278766\pi\)
\(228\) 2.26547 5.18256i 0.150034 0.343224i
\(229\) −2.93595 + 3.49893i −0.194013 + 0.231216i −0.854277 0.519818i \(-0.826000\pi\)
0.660264 + 0.751033i \(0.270444\pi\)
\(230\) 1.04278 + 28.5741i 0.0687591 + 1.88412i
\(231\) 8.61205 + 1.30425i 0.566631 + 0.0858132i
\(232\) 0.0313435 + 0.0672163i 0.00205780 + 0.00441297i
\(233\) 19.3377 5.18153i 1.26686 0.339454i 0.438032 0.898960i \(-0.355676\pi\)
0.828826 + 0.559506i \(0.189009\pi\)
\(234\) 18.2454 0.884887i 1.19274 0.0578469i
\(235\) −8.11055 15.8562i −0.529074 1.03435i
\(236\) −28.0247 + 4.94151i −1.82425 + 0.321665i
\(237\) −9.45354 0.596702i −0.614073 0.0387600i
\(238\) 4.82716 10.3519i 0.312898 0.671012i
\(239\) 2.31345 13.1202i 0.149645 0.848678i −0.813875 0.581040i \(-0.802646\pi\)
0.963520 0.267638i \(-0.0862431\pi\)
\(240\) −15.5896 0.414126i −1.00630 0.0267317i
\(241\) 19.5457 16.4008i 1.25905 1.05647i 0.263267 0.964723i \(-0.415200\pi\)
0.995783 0.0917454i \(-0.0292446\pi\)
\(242\) 2.42956 2.42956i 0.156178 0.156178i
\(243\) 9.60974 12.2741i 0.616465 0.787382i
\(244\) 12.7627i 0.817047i
\(245\) 1.54229 11.1005i 0.0985330 0.709183i
\(246\) −31.8803 + 0.772629i −2.03261 + 0.0492610i
\(247\) 4.10632 2.87528i 0.261279 0.182950i
\(248\) −0.158651 0.0739804i −0.0100744 0.00469776i
\(249\) 7.89466 6.95722i 0.500304 0.440896i
\(250\) 22.3177 0.494800i 1.41149 0.0312939i
\(251\) 17.4693 10.0859i 1.10265 0.636617i 0.165736 0.986170i \(-0.447000\pi\)
0.936917 + 0.349553i \(0.113667\pi\)
\(252\) −6.22278 5.64710i −0.391998 0.355734i
\(253\) −5.91193 22.0636i −0.371680 1.38713i
\(254\) −12.4752 4.54060i −0.782764 0.284903i
\(255\) 8.66797 + 13.1066i 0.542809 + 0.820769i
\(256\) 12.4194 + 10.4211i 0.776213 + 0.651320i
\(257\) 8.53743 0.746929i 0.532550 0.0465921i 0.182291 0.983245i \(-0.441649\pi\)
0.350260 + 0.936653i \(0.386093\pi\)
\(258\) −18.0788 7.90284i −1.12554 0.492009i
\(259\) 1.40055 3.84797i 0.0870257 0.239101i
\(260\) 11.3728 + 7.36023i 0.705314 + 0.456462i
\(261\) −5.64394 6.09989i −0.349351 0.377574i
\(262\) −6.10724 + 22.7925i −0.377307 + 1.40813i
\(263\) −11.5873 + 16.5483i −0.714501 + 1.02041i 0.283607 + 0.958941i \(0.408469\pi\)
−0.998109 + 0.0614734i \(0.980420\pi\)
\(264\) 0.162137 0.0326580i 0.00997881 0.00200996i
\(265\) 7.78508 + 25.3215i 0.478233 + 1.55549i
\(266\) −4.55734 0.803581i −0.279428 0.0492707i
\(267\) −0.249996 0.0605344i −0.0152995 0.00370464i
\(268\) −2.02019 + 23.0909i −0.123403 + 1.41050i
\(269\) 11.8522 0.722639 0.361320 0.932442i \(-0.382326\pi\)
0.361320 + 0.932442i \(0.382326\pi\)
\(270\) 22.2716 6.49366i 1.35540 0.395191i
\(271\) 24.7671 1.50450 0.752249 0.658879i \(-0.228969\pi\)
0.752249 + 0.658879i \(0.228969\pi\)
\(272\) 1.42387 16.2749i 0.0863345 0.986808i
\(273\) −2.10130 7.14498i −0.127176 0.432434i
\(274\) 23.8252 + 4.20103i 1.43934 + 0.253794i
\(275\) −17.2898 + 4.36858i −1.04261 + 0.263436i
\(276\) −7.03304 + 20.8842i −0.423339 + 1.25708i
\(277\) 16.7314 23.8949i 1.00529 1.43571i 0.108064 0.994144i \(-0.465535\pi\)
0.897230 0.441564i \(-0.145576\pi\)
\(278\) 6.73095 25.1202i 0.403695 1.50661i
\(279\) 19.4595 + 2.46637i 1.16501 + 0.147658i
\(280\) 0.0176796 + 0.0825380i 0.00105656 + 0.00493259i
\(281\) −10.0345 + 27.5694i −0.598605 + 1.64465i 0.155450 + 0.987844i \(0.450317\pi\)
−0.754055 + 0.656811i \(0.771905\pi\)
\(282\) −3.06483 27.3740i −0.182508 1.63010i
\(283\) 13.5237 1.18317i 0.803902 0.0703324i 0.322205 0.946670i \(-0.395576\pi\)
0.481697 + 0.876338i \(0.340020\pi\)
\(284\) −1.69780 1.42462i −0.100746 0.0845357i
\(285\) 4.22029 4.76654i 0.249989 0.282345i
\(286\) −20.4073 7.42766i −1.20671 0.439207i
\(287\) 3.36509 + 12.5587i 0.198635 + 0.741315i
\(288\) −22.1789 9.06161i −1.30691 0.533960i
\(289\) 0.466643 0.269416i 0.0274496 0.0158480i
\(290\) −1.52652 12.2731i −0.0896405 0.720699i
\(291\) −21.1765 7.13150i −1.24139 0.418056i
\(292\) 15.2749 + 7.12281i 0.893897 + 0.416831i
\(293\) 6.76405 4.73624i 0.395160 0.276694i −0.359062 0.933314i \(-0.616903\pi\)
0.754222 + 0.656620i \(0.228014\pi\)
\(294\) 8.30019 15.2162i 0.484077 0.887429i
\(295\) −31.7259 4.40796i −1.84715 0.256642i
\(296\) 0.0777556i 0.00451945i
\(297\) −16.1832 + 9.03148i −0.939043 + 0.524060i
\(298\) 5.07162 5.07162i 0.293791 0.293791i
\(299\) −14.9614 + 12.5541i −0.865238 + 0.726021i
\(300\) 16.2244 + 5.72359i 0.936717 + 0.330451i
\(301\) −1.39689 + 7.92216i −0.0805155 + 0.456626i
\(302\) −0.373422 + 0.800806i −0.0214880 + 0.0460812i
\(303\) 5.06370 7.61811i 0.290902 0.437649i
\(304\) −6.51840 + 1.14937i −0.373856 + 0.0659209i
\(305\) 4.41769 13.6693i 0.252956 0.782702i
\(306\) 5.37453 + 23.7008i 0.307241 + 1.35489i
\(307\) 10.0251 2.68621i 0.572161 0.153310i 0.0388737 0.999244i \(-0.487623\pi\)
0.533288 + 0.845934i \(0.320956\pi\)
\(308\) 4.22208 + 9.05429i 0.240575 + 0.515916i
\(309\) −2.03840 5.20450i −0.115960 0.296073i
\(310\) 21.3805 + 19.8750i 1.21433 + 1.12882i
\(311\) −12.2675 + 14.6199i −0.695627 + 0.829016i −0.992024 0.126049i \(-0.959770\pi\)
0.296397 + 0.955065i \(0.404215\pi\)
\(312\) −0.0838961 0.113842i −0.00474968 0.00644506i
\(313\) 14.9199 6.95728i 0.843325 0.393249i 0.0475700 0.998868i \(-0.484852\pi\)
0.795755 + 0.605619i \(0.207075\pi\)
\(314\) 1.27281 2.20458i 0.0718291 0.124412i
\(315\) −4.71013 8.20221i −0.265386 0.462142i
\(316\) −5.43220 9.40884i −0.305585 0.529289i
\(317\) 6.12095 + 4.28594i 0.343787 + 0.240722i 0.732699 0.680553i \(-0.238260\pi\)
−0.388912 + 0.921275i \(0.627149\pi\)
\(318\) −2.58094 + 40.8898i −0.144732 + 2.29299i
\(319\) 3.37917 + 9.28420i 0.189197 + 0.519816i
\(320\) −9.37545 14.9515i −0.524104 0.835816i
\(321\) −0.541778 22.3549i −0.0302391 1.24773i
\(322\) 17.9611 + 1.57139i 1.00093 + 0.0875702i
\(323\) 4.71587 + 4.71587i 0.262398 + 0.262398i
\(324\) 17.8255 + 1.38623i 0.990305 + 0.0770128i
\(325\) 9.63304 + 11.8197i 0.534345 + 0.655638i
\(326\) −4.59378 5.47465i −0.254426 0.303213i
\(327\) 9.18352 + 8.74892i 0.507850 + 0.483816i
\(328\) 0.141605 + 0.202232i 0.00781881 + 0.0111664i
\(329\) −10.5531 + 3.84101i −0.581811 + 0.211762i
\(330\) −27.4022 3.13258i −1.50844 0.172443i
\(331\) 1.44127 + 8.17383i 0.0792192 + 0.449274i 0.998455 + 0.0555668i \(0.0176966\pi\)
−0.919236 + 0.393707i \(0.871192\pi\)
\(332\) 11.6579 + 3.12373i 0.639812 + 0.171437i
\(333\) 2.66006 + 8.29674i 0.145770 + 0.454659i
\(334\) 20.8602 + 12.0436i 1.14142 + 0.658998i
\(335\) −10.1564 + 24.0319i −0.554904 + 1.31301i
\(336\) −1.47246 + 9.72280i −0.0803295 + 0.530422i
\(337\) 1.36820 + 15.6386i 0.0745305 + 0.851888i 0.937807 + 0.347157i \(0.112853\pi\)
−0.863277 + 0.504731i \(0.831592\pi\)
\(338\) −0.643869 7.35946i −0.0350219 0.400302i
\(339\) −24.5457 + 9.61357i −1.33314 + 0.522138i
\(340\) −7.01602 + 16.6012i −0.380497 + 0.900325i
\(341\) −20.1957 11.6600i −1.09366 0.631424i
\(342\) 8.71164 4.58858i 0.471072 0.248122i
\(343\) −16.3595 4.38351i −0.883330 0.236687i
\(344\) 0.0265246 + 0.150428i 0.00143011 + 0.00811056i
\(345\) −14.7615 + 19.9333i −0.794732 + 1.07317i
\(346\) −10.9025 + 3.96817i −0.586120 + 0.213330i
\(347\) 0.526226 + 0.751529i 0.0282493 + 0.0403442i 0.833028 0.553230i \(-0.186605\pi\)
−0.804779 + 0.593575i \(0.797716\pi\)
\(348\) 2.24319 9.26397i 0.120248 0.496601i
\(349\) 23.1000 + 27.5295i 1.23652 + 1.47362i 0.827861 + 0.560934i \(0.189558\pi\)
0.408655 + 0.912689i \(0.365998\pi\)
\(350\) 1.42736 14.0036i 0.0762953 0.748522i
\(351\) 12.8466 + 9.27719i 0.685698 + 0.495180i
\(352\) 20.1412 + 20.1412i 1.07353 + 1.07353i
\(353\) 4.80917 + 0.420748i 0.255966 + 0.0223942i 0.214417 0.976742i \(-0.431215\pi\)
0.0415497 + 0.999136i \(0.486771\pi\)
\(354\) −43.4891 23.7225i −2.31142 1.26084i
\(355\) −1.32528 2.11350i −0.0703387 0.112173i
\(356\) −0.100903 0.277229i −0.00534786 0.0146931i
\(357\) 8.87596 4.40381i 0.469765 0.233074i
\(358\) −31.9552 22.3753i −1.68889 1.18257i
\(359\) −1.88801 3.27013i −0.0996454 0.172591i 0.811892 0.583807i \(-0.198438\pi\)
−0.911538 + 0.411216i \(0.865104\pi\)
\(360\) −0.137312 0.115764i −0.00723697 0.00610130i
\(361\) −8.14897 + 14.1144i −0.428893 + 0.742865i
\(362\) −19.1945 + 8.95055i −1.00884 + 0.470430i
\(363\) 2.96208 0.331639i 0.155469 0.0174065i
\(364\) 5.49072 6.54359i 0.287792 0.342977i
\(365\) 13.8945 + 12.9161i 0.727271 + 0.676058i
\(366\) 13.8646 17.3606i 0.724713 0.907453i
\(367\) −10.6549 22.8495i −0.556181 1.19273i −0.960542 0.278135i \(-0.910284\pi\)
0.404361 0.914600i \(-0.367494\pi\)
\(368\) 24.9093 6.67443i 1.29849 0.347929i
\(369\) −22.0281 16.7344i −1.14674 0.871158i
\(370\) −3.98746 + 12.3381i −0.207298 + 0.641425i
\(371\) 16.4505 2.90067i 0.854070 0.150596i
\(372\) 9.99918 + 20.1535i 0.518433 + 1.04491i
\(373\) 4.65880 9.99084i 0.241224 0.517306i −0.748003 0.663695i \(-0.768987\pi\)
0.989227 + 0.146389i \(0.0467651\pi\)
\(374\) 5.01718 28.4538i 0.259432 1.47131i
\(375\) 15.3958 + 11.7461i 0.795033 + 0.606566i
\(376\) −0.163356 + 0.137072i −0.00842442 + 0.00706893i
\(377\) 5.97348 5.97348i 0.307650 0.307650i
\(378\) −2.32996 14.4416i −0.119840 0.742795i
\(379\) 6.15292i 0.316054i −0.987435 0.158027i \(-0.949487\pi\)
0.987435 0.158027i \(-0.0505134\pi\)
\(380\) 7.23250 + 1.00488i 0.371019 + 0.0515490i
\(381\) −5.99822 9.83116i −0.307298 0.503666i
\(382\) 7.82113 5.47641i 0.400164 0.280198i
\(383\) −15.9793 7.45128i −0.816506 0.380743i −0.0309400 0.999521i \(-0.509850\pi\)
−0.785566 + 0.618778i \(0.787628\pi\)
\(384\) 0.0732508 + 0.363666i 0.00373806 + 0.0185583i
\(385\) 1.38794 + 11.1589i 0.0707361 + 0.568710i
\(386\) −9.40775 + 5.43157i −0.478842 + 0.276460i
\(387\) −7.97648 15.1437i −0.405467 0.769798i
\(388\) −6.63326 24.7556i −0.336753 1.25678i
\(389\) 13.1982 + 4.80373i 0.669173 + 0.243559i 0.654192 0.756329i \(-0.273009\pi\)
0.0149811 + 0.999888i \(0.495231\pi\)
\(390\) 7.47435 + 22.3666i 0.378479 + 1.13258i
\(391\) −19.9049 16.7022i −1.00663 0.844666i
\(392\) −0.133675 + 0.0116951i −0.00675161 + 0.000590689i
\(393\) −16.4783 + 12.1437i −0.831220 + 0.612567i
\(394\) 5.48572 15.0719i 0.276366 0.759311i
\(395\) −2.56129 11.9575i −0.128873 0.601648i
\(396\) −18.9017 9.72392i −0.949848 0.488646i
\(397\) 7.83331 29.2343i 0.393143 1.46723i −0.431778 0.901980i \(-0.642114\pi\)
0.824921 0.565248i \(-0.191220\pi\)
\(398\) 13.9264 19.8890i 0.698070 0.996947i
\(399\) −2.65415 3.01178i −0.132874 0.150778i
\(400\) −4.93203 19.5197i −0.246601 0.975987i
\(401\) −16.0405 2.82837i −0.801024 0.141242i −0.241873 0.970308i \(-0.577762\pi\)
−0.559151 + 0.829066i \(0.688873\pi\)
\(402\) −27.8325 + 29.2151i −1.38816 + 1.45712i
\(403\) −1.73783 + 19.8635i −0.0865676 + 0.989472i
\(404\) 10.4918 0.521987
\(405\) 18.6119 + 7.65484i 0.924834 + 0.380372i
\(406\) −7.79855 −0.387035
\(407\) 0.902792 10.3190i 0.0447497 0.511492i
\(408\) 0.129775 0.136222i 0.00642483 0.00674398i
\(409\) −19.2731 3.39837i −0.952995 0.168039i −0.324529 0.945876i \(-0.605206\pi\)
−0.628466 + 0.777837i \(0.716317\pi\)
\(410\) −12.0986 39.3515i −0.597507 1.94343i
\(411\) 13.8756 + 15.7452i 0.684432 + 0.776656i
\(412\) 3.67712 5.25147i 0.181159 0.258721i
\(413\) −5.22744 + 19.5091i −0.257226 + 0.959979i
\(414\) −32.2540 + 20.7677i −1.58520 + 1.02068i
\(415\) 11.4048 + 7.38092i 0.559840 + 0.362315i
\(416\) 8.32980 22.8859i 0.408402 1.12208i
\(417\) 18.1612 13.3838i 0.889356 0.655410i
\(418\) −11.6614 + 1.02024i −0.570377 + 0.0499015i
\(419\) 0.141106 + 0.118402i 0.00689349 + 0.00578432i 0.646228 0.763145i \(-0.276346\pi\)
−0.639334 + 0.768929i \(0.720790\pi\)
\(420\) 4.84421 9.70678i 0.236373 0.473643i
\(421\) −17.1952 6.25854i −0.838043 0.305023i −0.112887 0.993608i \(-0.536010\pi\)
−0.725155 + 0.688585i \(0.758232\pi\)
\(422\) 1.54137 + 5.75246i 0.0750325 + 0.280025i
\(423\) 12.7412 20.2144i 0.619499 0.982858i
\(424\) 0.274692 0.158593i 0.0133402 0.00770197i
\(425\) −13.2608 + 15.3519i −0.643241 + 0.744678i
\(426\) −0.761831 3.78224i −0.0369108 0.183250i
\(427\) −8.20959 3.82819i −0.397290 0.185259i
\(428\) 21.0093 14.7109i 1.01552 0.711078i
\(429\) −9.81207 16.0821i −0.473731 0.776453i
\(430\) 3.50540 25.2298i 0.169046 1.21669i
\(431\) 20.4312i 0.984138i 0.870556 + 0.492069i \(0.163759\pi\)
−0.870556 + 0.492069i \(0.836241\pi\)
\(432\) −10.1963 18.2704i −0.490571 0.879036i
\(433\) −1.40075 + 1.40075i −0.0673156 + 0.0673156i −0.739963 0.672647i \(-0.765157\pi\)
0.672647 + 0.739963i \(0.265157\pi\)
\(434\) 14.1006 11.8318i 0.676849 0.567944i
\(435\) 5.60918 9.14559i 0.268940 0.438497i
\(436\) −2.52621 + 14.3269i −0.120984 + 0.686132i
\(437\) −4.44908 + 9.54109i −0.212829 + 0.456412i
\(438\) 13.0401 + 26.2826i 0.623081 + 1.25583i
\(439\) −13.9335 + 2.45686i −0.665012 + 0.117259i −0.495957 0.868347i \(-0.665183\pi\)
−0.169055 + 0.985607i \(0.554071\pi\)
\(440\) 0.0972354 + 0.190096i 0.00463552 + 0.00906248i
\(441\) 13.8634 5.82099i 0.660163 0.277190i
\(442\) −23.8625 + 6.39395i −1.13503 + 0.304129i
\(443\) −6.78197 14.5440i −0.322221 0.691005i 0.676757 0.736207i \(-0.263385\pi\)
−0.998978 + 0.0452014i \(0.985607\pi\)
\(444\) −6.23612 + 7.80858i −0.295953 + 0.370579i
\(445\) −0.0121105 0.331849i −0.000574094 0.0157312i
\(446\) 10.3905 12.3829i 0.492004 0.586347i
\(447\) 6.18324 0.692284i 0.292457 0.0327439i
\(448\) −10.0854 + 4.70292i −0.476493 + 0.222192i
\(449\) 2.86184 4.95685i 0.135059 0.233928i −0.790561 0.612383i \(-0.790211\pi\)
0.925620 + 0.378455i \(0.123544\pi\)
\(450\) 15.8517 + 25.4108i 0.747256 + 1.19787i
\(451\) 16.4443 + 28.4824i 0.774333 + 1.34118i
\(452\) −24.7672 17.3422i −1.16495 0.815708i
\(453\) −0.686631 + 0.340672i −0.0322608 + 0.0160062i
\(454\) 5.26417 + 14.4632i 0.247060 + 0.678791i
\(455\) 8.14577 5.10785i 0.381879 0.239460i
\(456\) −0.0669181 0.0365026i −0.00313373 0.00170939i
\(457\) 19.6843 + 1.72215i 0.920793 + 0.0805589i 0.537686 0.843145i \(-0.319299\pi\)
0.383107 + 0.923704i \(0.374854\pi\)
\(458\) −6.44862 6.44862i −0.301324 0.301324i
\(459\) −9.18716 + 18.9749i −0.428820 + 0.885673i
\(460\) −28.4124 1.44427i −1.32474 0.0673394i
\(461\) −11.6371 13.8685i −0.541993 0.645922i 0.423640 0.905830i \(-0.360752\pi\)
−0.965633 + 0.259909i \(0.916308\pi\)
\(462\) −4.09287 + 16.9028i −0.190418 + 0.786390i
\(463\) −7.50444 10.7175i −0.348761 0.498082i 0.605997 0.795467i \(-0.292774\pi\)
−0.954758 + 0.297385i \(0.903886\pi\)
\(464\) −10.4816 + 3.81501i −0.486598 + 0.177107i
\(465\) 3.73351 + 25.0463i 0.173138 + 1.16149i
\(466\) 6.94118 + 39.3654i 0.321544 + 1.82357i
\(467\) −7.87106 2.10904i −0.364229 0.0975949i 0.0720628 0.997400i \(-0.477042\pi\)
−0.436292 + 0.899805i \(0.643708\pi\)
\(468\) −0.705104 + 18.1612i −0.0325934 + 0.839501i
\(469\) 14.2473 + 8.22566i 0.657877 + 0.379826i
\(470\) 32.9501 13.3730i 1.51988 0.616850i
\(471\) 2.05620 0.805332i 0.0947447 0.0371077i
\(472\) 0.0334253 + 0.382053i 0.00153852 + 0.0175854i
\(473\) 1.77351 + 20.2713i 0.0815462 + 0.932077i
\(474\) 2.83197 18.6997i 0.130076 0.858905i
\(475\) 7.39844 + 3.57972i 0.339464 + 0.164249i
\(476\) 9.84196 + 5.68226i 0.451105 + 0.260446i
\(477\) −23.8848 + 26.3197i −1.09361 + 1.20510i
\(478\) 25.6942 + 6.88474i 1.17523 + 0.314901i
\(479\) 4.41454 + 25.0361i 0.201706 + 1.14393i 0.902540 + 0.430606i \(0.141700\pi\)
−0.700835 + 0.713324i \(0.747189\pi\)
\(480\) 3.51305 30.7303i 0.160348 1.40264i
\(481\) −8.32264 + 3.02919i −0.379480 + 0.138119i
\(482\) 29.2206 + 41.7314i 1.33096 + 1.90081i
\(483\) 11.3241 + 10.7882i 0.515266 + 0.490882i
\(484\) 2.19744 + 2.61881i 0.0998838 + 0.119037i
\(485\) 1.46449 28.8102i 0.0664991 1.30821i
\(486\) 22.7414 + 21.2501i 1.03157 + 0.963926i
\(487\) −20.8770 20.8770i −0.946027 0.946027i 0.0525891 0.998616i \(-0.483253\pi\)
−0.998616 + 0.0525891i \(0.983253\pi\)
\(488\) −0.171347 0.0149909i −0.00775651 0.000678606i
\(489\) −0.150205 6.19776i −0.00679250 0.280273i
\(490\) 21.8110 + 4.99937i 0.985319 + 0.225849i
\(491\) −4.08765 11.2307i −0.184473 0.506835i 0.812640 0.582766i \(-0.198029\pi\)
−0.997113 + 0.0759306i \(0.975807\pi\)
\(492\) 1.99874 31.6660i 0.0901103 1.42761i
\(493\) 9.20652 + 6.44648i 0.414641 + 0.290335i
\(494\) 5.00448 + 8.66802i 0.225162 + 0.389993i
\(495\) −16.8786 16.9573i −0.758636 0.762176i
\(496\) 13.1638 22.8004i 0.591074 1.02377i
\(497\) −1.42564 + 0.664789i −0.0639489 + 0.0298199i
\(498\) 12.4644 + 16.9135i 0.558544 + 0.757914i
\(499\) −3.31792 + 3.95415i −0.148531 + 0.177012i −0.835180 0.549977i \(-0.814636\pi\)
0.686649 + 0.726989i \(0.259081\pi\)
\(500\) −1.44488 + 22.1637i −0.0646172 + 0.991191i
\(501\) 7.62022 + 19.4562i 0.340446 + 0.869238i
\(502\) 17.0214 + 36.5024i 0.759700 + 1.62918i
\(503\) −9.73055 + 2.60729i −0.433864 + 0.116253i −0.469139 0.883124i \(-0.655436\pi\)
0.0352755 + 0.999378i \(0.488769\pi\)
\(504\) −0.0831250 + 0.0769116i −0.00370268 + 0.00342592i
\(505\) 11.2371 + 3.63164i 0.500044 + 0.161606i
\(506\) 44.9144 7.91962i 1.99669 0.352070i
\(507\) 3.54754 5.33711i 0.157552 0.237030i
\(508\) 5.58236 11.9714i 0.247677 0.531145i
\(509\) 5.57060 31.5924i 0.246912 1.40031i −0.569097 0.822270i \(-0.692707\pi\)
0.816009 0.578039i \(-0.196182\pi\)
\(510\) −27.5781 + 14.9602i −1.22118 + 0.662448i
\(511\) 9.16349 7.68908i 0.405369 0.340145i
\(512\) −22.5864 + 22.5864i −0.998188 + 0.998188i
\(513\) 8.38912 + 1.60563i 0.370389 + 0.0708904i
\(514\) 17.1113i 0.754749i
\(515\) 5.75607 4.35171i 0.253643 0.191759i
\(516\) 9.40087 17.2340i 0.413850 0.758686i
\(517\) −23.2704 + 16.2941i −1.02343 + 0.716615i
\(518\) 7.41007 + 3.45537i 0.325580 + 0.151820i
\(519\) −9.53829 3.21216i −0.418685 0.140998i
\(520\) 0.112174 0.144042i 0.00491915 0.00631666i
\(521\) −5.58144 + 3.22245i −0.244528 + 0.141178i −0.617256 0.786762i \(-0.711756\pi\)
0.372728 + 0.927941i \(0.378422\pi\)
\(522\) 13.1151 10.1646i 0.574034 0.444891i
\(523\) 1.81234 + 6.76374i 0.0792481 + 0.295758i 0.994163 0.107889i \(-0.0344091\pi\)
−0.914915 + 0.403647i \(0.867742\pi\)
\(524\) −22.0619 8.02986i −0.963777 0.350786i
\(525\) 8.54824 8.71954i 0.373076 0.380552i
\(526\) −30.8990 25.9273i −1.34726 1.13049i
\(527\) −26.4268 + 2.31205i −1.15117 + 0.100714i
\(528\) 2.76773 + 24.7204i 0.120450 + 1.07582i
\(529\) 6.16176 16.9293i 0.267902 0.736056i
\(530\) −51.7203 + 11.0785i −2.24659 + 0.481218i
\(531\) −16.6368 39.6226i −0.721975 1.71948i
\(532\) 1.19169 4.44745i 0.0516663 0.192821i
\(533\) 16.1295 23.0353i 0.698646 0.997770i
\(534\) 0.163910 0.486720i 0.00709307 0.0210624i
\(535\) 27.5938 8.48370i 1.19298 0.366782i
\(536\) 0.307637 + 0.0542447i 0.0132879 + 0.00234301i
\(537\) −9.54796 32.4656i −0.412025 1.40099i
\(538\) −2.06250 + 23.5745i −0.0889208 + 1.01637i
\(539\) −17.8758 −0.769966
\(540\) 4.50505 + 22.6382i 0.193867 + 0.974193i
\(541\) −34.0530 −1.46405 −0.732026 0.681276i \(-0.761425\pi\)
−0.732026 + 0.681276i \(0.761425\pi\)
\(542\) −4.30996 + 49.2630i −0.185128 + 2.11603i
\(543\) −17.8562 4.32372i −0.766282 0.185549i
\(544\) 31.9097 + 5.62655i 1.36812 + 0.241236i
\(545\) −7.66478 + 14.4702i −0.328323 + 0.619833i
\(546\) 14.5774 2.93622i 0.623854 0.125659i
\(547\) −14.1563 + 20.2173i −0.605281 + 0.864431i −0.998485 0.0550200i \(-0.982478\pi\)
0.393204 + 0.919451i \(0.371367\pi\)
\(548\) −6.23002 + 23.2508i −0.266133 + 0.993224i
\(549\) 18.7960 4.26229i 0.802195 0.181910i
\(550\) −5.68057 35.1504i −0.242220 1.49882i
\(551\) 1.55740 4.27891i 0.0663474 0.182288i
\(552\) 0.272122 + 0.118953i 0.0115823 + 0.00506298i
\(553\) −7.68163 + 0.672056i −0.326656 + 0.0285787i
\(554\) 44.6166 + 37.4378i 1.89558 + 1.59058i
\(555\) −9.38198 + 6.20470i −0.398243 + 0.263375i
\(556\) 24.3149 + 8.84992i 1.03118 + 0.375320i
\(557\) −2.28192 8.51625i −0.0966881 0.360845i 0.900582 0.434686i \(-0.143141\pi\)
−0.997270 + 0.0738415i \(0.976474\pi\)
\(558\) −8.29204 + 38.2766i −0.351030 + 1.62038i
\(559\) 15.0679 8.69945i 0.637304 0.367948i
\(560\) −12.5981 + 1.56695i −0.532368 + 0.0662159i
\(561\) 18.8041 16.5712i 0.793910 0.699638i
\(562\) −53.0907 24.7566i −2.23950 1.04429i
\(563\) −19.1342 + 13.3979i −0.806411 + 0.564655i −0.902486 0.430719i \(-0.858260\pi\)
0.0960749 + 0.995374i \(0.469371\pi\)
\(564\) 27.3983 0.664007i 1.15368 0.0279597i
\(565\) −20.5237 27.1471i −0.863440 1.14209i
\(566\) 27.1052i 1.13932i
\(567\) 6.23849 11.0504i 0.261992 0.464075i
\(568\) −0.0211206 + 0.0211206i −0.000886202 + 0.000886202i
\(569\) −1.82798 + 1.53386i −0.0766330 + 0.0643027i −0.680300 0.732934i \(-0.738150\pi\)
0.603667 + 0.797237i \(0.293706\pi\)
\(570\) 8.74646 + 9.22383i 0.366349 + 0.386344i
\(571\) 6.32573 35.8750i 0.264724 1.50132i −0.505097 0.863063i \(-0.668543\pi\)
0.769821 0.638260i \(-0.220346\pi\)
\(572\) 9.13180 19.5832i 0.381820 0.818815i
\(573\) 8.26611 + 0.521753i 0.345322 + 0.0217965i
\(574\) −25.5654 + 4.50787i −1.06708 + 0.188155i
\(575\) −29.9308 11.3816i −1.24820 0.474645i
\(576\) 10.8314 21.0544i 0.451306 0.877266i
\(577\) 24.2875 6.50782i 1.01110 0.270924i 0.285012 0.958524i \(-0.408002\pi\)
0.726090 + 0.687600i \(0.241336\pi\)
\(578\) 0.454677 + 0.975058i 0.0189121 + 0.0405571i
\(579\) −9.31732 1.41106i −0.387215 0.0586415i
\(580\) 12.2972 0.448774i 0.510612 0.0186343i
\(581\) 5.50616 6.56198i 0.228434 0.272237i
\(582\) 17.8700 40.8801i 0.740736 1.69454i
\(583\) 38.2957 17.8576i 1.58605 0.739586i
\(584\) 0.113570 0.196709i 0.00469955 0.00813986i
\(585\) −7.04152 + 19.2072i −0.291131 + 0.794121i
\(586\) 8.24353 + 14.2782i 0.340537 + 0.589828i
\(587\) 24.9444 + 17.4662i 1.02956 + 0.720909i 0.960947 0.276734i \(-0.0892521\pi\)
0.0686181 + 0.997643i \(0.478141\pi\)
\(588\) 14.3622 + 9.54647i 0.592289 + 0.393690i
\(589\) 3.67594 + 10.0996i 0.151465 + 0.416145i
\(590\) 14.2886 62.3373i 0.588251 2.56638i
\(591\) 11.8775 7.24673i 0.488575 0.298091i
\(592\) 11.6499 + 1.01923i 0.478806 + 0.0418901i
\(593\) 26.7405 + 26.7405i 1.09810 + 1.09810i 0.994633 + 0.103470i \(0.0329946\pi\)
0.103470 + 0.994633i \(0.467005\pi\)
\(594\) −15.1479 33.7608i −0.621524 1.38522i
\(595\) 8.57423 + 9.49260i 0.351509 + 0.389159i
\(596\) 4.58708 + 5.46667i 0.187894 + 0.223924i
\(597\) 20.2067 5.94268i 0.827006 0.243218i
\(598\) −22.3671 31.9435i −0.914658 1.30627i
\(599\) 1.09294 0.397799i 0.0446564 0.0162536i −0.319595 0.947554i \(-0.603547\pi\)
0.364252 + 0.931301i \(0.381325\pi\)
\(600\) 0.0958996 0.211100i 0.00391509 0.00861811i
\(601\) 2.53128 + 14.3556i 0.103253 + 0.585578i 0.991904 + 0.126993i \(0.0405325\pi\)
−0.888650 + 0.458585i \(0.848356\pi\)
\(602\) −15.5145 4.15709i −0.632323 0.169430i
\(603\) −34.6815 + 4.73635i −1.41234 + 0.192879i
\(604\) −0.761360 0.439571i −0.0309793 0.0178859i
\(605\) 1.44706 + 3.56547i 0.0588315 + 0.144957i
\(606\) 14.2716 + 11.3976i 0.579744 + 0.462998i
\(607\) −2.89333 33.0709i −0.117437 1.34231i −0.794896 0.606746i \(-0.792475\pi\)
0.677459 0.735560i \(-0.263081\pi\)
\(608\) −1.14415 13.0777i −0.0464015 0.530372i
\(609\) −5.28619 4.22168i −0.214207 0.171071i
\(610\) 26.4201 + 11.1657i 1.06972 + 0.452086i
\(611\) 21.0356 + 12.1449i 0.851008 + 0.491330i
\(612\) −23.9578 + 3.27186i −0.968438 + 0.132257i
\(613\) −11.4101 3.05733i −0.460849 0.123484i 0.0209221 0.999781i \(-0.493340\pi\)
−0.481772 + 0.876297i \(0.660006\pi\)
\(614\) 3.59845 + 20.4078i 0.145221 + 0.823592i
\(615\) 13.1016 33.2236i 0.528309 1.33971i
\(616\) 0.126518 0.0460490i 0.00509757 0.00185537i
\(617\) 26.4363 + 37.7549i 1.06428 + 1.51996i 0.837827 + 0.545935i \(0.183826\pi\)
0.226458 + 0.974021i \(0.427285\pi\)
\(618\) 10.7067 3.14878i 0.430687 0.126663i
\(619\) −8.15117 9.71419i −0.327623 0.390446i 0.576939 0.816787i \(-0.304247\pi\)
−0.904563 + 0.426341i \(0.859802\pi\)
\(620\) −21.5537 + 19.4684i −0.865617 + 0.781871i
\(621\) −33.1056 3.38321i −1.32848 0.135764i
\(622\) −26.9448 26.9448i −1.08039 1.08039i
\(623\) −0.208594 0.0182496i −0.00835713 0.000731154i
\(624\) 18.1563 11.0776i 0.726835 0.443459i
\(625\) −9.21929 + 23.2380i −0.368772 + 0.929520i
\(626\) 11.2420 + 30.8872i 0.449321 + 1.23450i
\(627\) −8.45689 5.62123i −0.337736 0.224490i
\(628\) 2.07476 + 1.45276i 0.0827918 + 0.0579714i
\(629\) −5.89161 10.2046i −0.234914 0.406883i
\(630\) 17.1342 7.94133i 0.682644 0.316390i
\(631\) 16.7330 28.9824i 0.666131 1.15377i −0.312847 0.949804i \(-0.601283\pi\)
0.978977 0.203969i \(-0.0653841\pi\)
\(632\) −0.132700 + 0.0618790i −0.00527852 + 0.00246142i
\(633\) −2.06924 + 4.73367i −0.0822449 + 0.188147i
\(634\) −9.59010 + 11.4290i −0.380871 + 0.453905i
\(635\) 10.1227 10.8895i 0.401707 0.432137i
\(636\) −40.3053 6.10401i −1.59821 0.242040i
\(637\) 6.45949 + 13.8524i 0.255934 + 0.548853i
\(638\) −19.0548 + 5.10571i −0.754385 + 0.202137i
\(639\) 1.53108 2.97618i 0.0605687 0.117736i
\(640\) −0.426379 + 0.218096i −0.0168541 + 0.00862098i
\(641\) −2.02936 + 0.357831i −0.0801548 + 0.0141335i −0.213582 0.976925i \(-0.568513\pi\)
0.133427 + 0.991059i \(0.457402\pi\)
\(642\) 44.5592 + 2.81255i 1.75861 + 0.111003i
\(643\) −13.7938 + 29.5810i −0.543976 + 1.16656i 0.421682 + 0.906744i \(0.361440\pi\)
−0.965658 + 0.259816i \(0.916338\pi\)
\(644\) −3.11506 + 17.6664i −0.122750 + 0.696153i
\(645\) 16.0341 15.2043i 0.631341 0.598667i
\(646\) −10.2007 + 8.55944i −0.401343 + 0.336767i
\(647\) 10.7867 10.7867i 0.424069 0.424069i −0.462533 0.886602i \(-0.653059\pi\)
0.886602 + 0.462533i \(0.153059\pi\)
\(648\) 0.0395486 0.237690i 0.00155362 0.00933734i
\(649\) 51.0904i 2.00547i
\(650\) −25.1862 + 17.1037i −0.987885 + 0.670863i
\(651\) 15.9630 0.386870i 0.625640 0.0151626i
\(652\) 5.82472 4.07851i 0.228114 0.159727i
\(653\) 16.4977 + 7.69299i 0.645604 + 0.301050i 0.717705 0.696347i \(-0.245193\pi\)
−0.0721010 + 0.997397i \(0.522970\pi\)
\(654\) −19.0001 + 16.7440i −0.742963 + 0.654741i
\(655\) −20.8496 16.2368i −0.814661 0.634424i
\(656\) −32.1559 + 18.5652i −1.25548 + 0.724851i
\(657\) −5.38872 + 24.8747i −0.210234 + 0.970453i
\(658\) −5.80351 21.6590i −0.226245 0.844356i
\(659\) 1.94388 + 0.707516i 0.0757229 + 0.0275609i 0.379604 0.925149i \(-0.376060\pi\)
−0.303881 + 0.952710i \(0.598283\pi\)
\(660\) 5.48117 26.8888i 0.213354 1.04664i
\(661\) 10.2051 + 8.56308i 0.396932 + 0.333065i 0.819306 0.573356i \(-0.194359\pi\)
−0.422374 + 0.906421i \(0.638803\pi\)
\(662\) −16.5089 + 1.44434i −0.641638 + 0.0561360i
\(663\) −19.6364 8.58369i −0.762614 0.333363i
\(664\) 0.0556313 0.152846i 0.00215891 0.00593156i
\(665\) 2.81579 4.35089i 0.109192 0.168720i
\(666\) −16.9655 + 3.84719i −0.657400 + 0.149076i
\(667\) −4.59169 + 17.1364i −0.177791 + 0.663525i
\(668\) −13.7463 + 19.6318i −0.531861 + 0.759576i
\(669\) 13.7465 2.76886i 0.531470 0.107050i
\(670\) −46.0332 24.3836i −1.77842 0.942021i
\(671\) −22.5654 3.97889i −0.871128 0.153603i
\(672\) −18.9558 4.58998i −0.731235 0.177062i
\(673\) 3.35297 38.3246i 0.129247 1.47730i −0.603805 0.797132i \(-0.706349\pi\)
0.733052 0.680172i \(-0.238095\pi\)
\(674\) −31.3440 −1.20732
\(675\) −3.01093 + 25.8057i −0.115891 + 0.993262i
\(676\) 7.35037 0.282707
\(677\) −1.13659 + 12.9913i −0.0436829 + 0.499297i 0.942565 + 0.334023i \(0.108406\pi\)
−0.986248 + 0.165274i \(0.947149\pi\)
\(678\) −14.8504 50.4955i −0.570327 1.93927i
\(679\) −17.9137 3.15867i −0.687465 0.121219i
\(680\) 0.214640 + 0.113694i 0.00823107 + 0.00435996i
\(681\) −4.26124 + 12.6535i −0.163291 + 0.484883i
\(682\) 26.7067 38.1411i 1.02265 1.46050i
\(683\) 5.95787 22.2351i 0.227972 0.850801i −0.753221 0.657768i \(-0.771501\pi\)
0.981192 0.193033i \(-0.0618326\pi\)
\(684\) 3.79266 + 9.03270i 0.145016 + 0.345374i
\(685\) −14.7206 + 22.7459i −0.562446 + 0.869078i
\(686\) 11.5659 31.7770i 0.441587 1.21325i
\(687\) −0.880248 7.86207i −0.0335836 0.299957i
\(688\) −22.8859 + 2.00225i −0.872515 + 0.0763352i
\(689\) −27.6766 23.2234i −1.05439 0.884741i
\(690\) −37.0794 32.8301i −1.41159 1.24982i
\(691\) −20.2420 7.36747i −0.770040 0.280272i −0.0730269 0.997330i \(-0.523266\pi\)
−0.697013 + 0.717058i \(0.745488\pi\)
\(692\) −2.98774 11.1504i −0.113577 0.423874i
\(693\) −11.9245 + 9.24182i −0.452975 + 0.351068i
\(694\) −1.58640 + 0.915908i −0.0602189 + 0.0347674i
\(695\) 22.9789 + 17.8950i 0.871638 + 0.678795i
\(696\) −0.121740 0.0409976i −0.00461453 0.00155401i
\(697\) 33.9074 + 15.8113i 1.28433 + 0.598894i
\(698\) −58.7774 + 41.1564i −2.22476 + 1.55779i
\(699\) −16.6051 + 30.4411i −0.628062 + 1.15139i
\(700\) 13.7563 + 2.62911i 0.519937 + 0.0993710i
\(701\) 10.6311i 0.401531i −0.979639 0.200766i \(-0.935657\pi\)
0.979639 0.200766i \(-0.0643430\pi\)
\(702\) −20.6883 + 23.9380i −0.780830 + 0.903482i
\(703\) −3.37571 + 3.37571i −0.127317 + 0.127317i
\(704\) −21.5635 + 18.0939i −0.812705 + 0.681941i
\(705\) 29.5744 + 8.77250i 1.11384 + 0.330391i
\(706\) −1.67378 + 9.49245i −0.0629934 + 0.357253i
\(707\) 3.14704 6.74885i 0.118357 0.253816i
\(708\) 27.2845 41.0483i 1.02541 1.54269i
\(709\) 6.87515 1.21227i 0.258202 0.0455279i −0.0430488 0.999073i \(-0.513707\pi\)
0.301250 + 0.953545i \(0.402596\pi\)
\(710\) 4.43447 2.26826i 0.166423 0.0851263i
\(711\) 12.0426 11.1424i 0.451631 0.417873i
\(712\) −0.00384049 + 0.00102906i −0.000143929 + 3.85655e-5i
\(713\) −17.6968 37.9508i −0.662749 1.42127i
\(714\) 7.21479 + 18.4210i 0.270007 + 0.689390i
\(715\) 16.5590 17.8134i 0.619273 0.666184i
\(716\) 24.9489 29.7330i 0.932386 1.11117i
\(717\) 13.6897 + 18.5761i 0.511249 + 0.693738i
\(718\) 6.83299 3.18628i 0.255005 0.118911i
\(719\) −2.82089 + 4.88592i −0.105201 + 0.182214i −0.913820 0.406118i \(-0.866882\pi\)
0.808619 + 0.588333i \(0.200215\pi\)
\(720\) 19.1444 19.0555i 0.713471 0.710157i
\(721\) −2.27504 3.94049i −0.0847271 0.146752i
\(722\) −26.6562 18.6649i −0.992041 0.694635i
\(723\) −2.78393 + 44.1057i −0.103535 + 1.64031i
\(724\) −7.20710 19.8013i −0.267850 0.735911i
\(725\) 13.3261 + 3.77590i 0.494917 + 0.140234i
\(726\) 0.144187 + 5.94944i 0.00535127 + 0.220804i
\(727\) −12.0758 1.05650i −0.447867 0.0391832i −0.139008 0.990291i \(-0.544391\pi\)
−0.308858 + 0.951108i \(0.599947\pi\)
\(728\) −0.0814023 0.0814023i −0.00301697 0.00301697i
\(729\) 3.91154 + 26.7152i 0.144872 + 0.989450i
\(730\) −28.1086 + 25.3892i −1.04034 + 0.939695i
\(731\) 14.8791 + 17.7323i 0.550325 + 0.655852i
\(732\) 16.0052 + 15.2477i 0.591568 + 0.563572i
\(733\) 0.808383 + 1.15449i 0.0298583 + 0.0426421i 0.833804 0.552061i \(-0.186158\pi\)
−0.803945 + 0.594703i \(0.797270\pi\)
\(734\) 47.3029 17.2169i 1.74598 0.635486i
\(735\) 12.0780 + 15.1960i 0.445505 + 0.560512i
\(736\) 8.88151 + 50.3696i 0.327377 + 1.85665i
\(737\) 40.1967 + 10.7707i 1.48066 + 0.396743i
\(738\) 37.1188 40.9028i 1.36636 1.50565i
\(739\) −7.65920 4.42204i −0.281748 0.162667i 0.352466 0.935824i \(-0.385343\pi\)
−0.634215 + 0.773157i \(0.718676\pi\)
\(740\) −11.8834 5.02220i −0.436844 0.184620i
\(741\) −1.30010 + 8.58470i −0.0477605 + 0.315367i
\(742\) 2.90687 + 33.2257i 0.106715 + 1.21975i
\(743\) −1.77243 20.2590i −0.0650242 0.743230i −0.956799 0.290751i \(-0.906095\pi\)
0.891775 0.452480i \(-0.149461\pi\)
\(744\) 0.282318 0.110573i 0.0103503 0.00405380i
\(745\) 3.02069 + 7.44278i 0.110670 + 0.272682i
\(746\) 19.0615 + 11.0052i 0.697892 + 0.402928i
\(747\) −0.707086 + 18.2122i −0.0258709 + 0.666351i
\(748\) 27.7677 + 7.44034i 1.01529 + 0.272046i
\(749\) −3.16098 17.9268i −0.115500 0.655031i
\(750\) −26.0427 + 28.5788i −0.950945 + 1.04355i
\(751\) −8.99657 + 3.27448i −0.328290 + 0.119488i −0.500906 0.865501i \(-0.667000\pi\)
0.172617 + 0.984989i \(0.444778\pi\)
\(752\) −18.3957 26.2718i −0.670822 0.958032i
\(753\) −8.22247 + 33.9573i −0.299643 + 1.23747i
\(754\) 10.8420 + 12.9210i 0.394844 + 0.470556i
\(755\) −0.663290 0.734334i −0.0241396 0.0267252i
\(756\) 14.5162 1.05707i 0.527950 0.0384454i
\(757\) −20.8479 20.8479i −0.757730 0.757730i 0.218179 0.975909i \(-0.429988\pi\)
−0.975909 + 0.218179i \(0.929988\pi\)
\(758\) 12.2385 + 1.07073i 0.444521 + 0.0388905i
\(759\) 34.7322 + 18.9458i 1.26070 + 0.687688i
\(760\) 0.0219863 0.0959204i 0.000797526 0.00347940i
\(761\) −9.01441 24.7669i −0.326772 0.897799i −0.988923 0.148428i \(-0.952579\pi\)
0.662151 0.749370i \(-0.269644\pi\)
\(762\) 20.5985 10.2199i 0.746203 0.370229i
\(763\) 8.45800 + 5.92236i 0.306200 + 0.214404i
\(764\) 4.74988 + 8.22703i 0.171845 + 0.297644i
\(765\) −26.7922 4.78851i −0.968675 0.173129i
\(766\) 17.6017 30.4870i 0.635974 1.10154i
\(767\) 39.5912 18.4617i 1.42955 0.666612i
\(768\) −27.9063 + 3.12443i −1.00698 + 0.112743i
\(769\) 28.0565 33.4364i 1.01174 1.20575i 0.0332544 0.999447i \(-0.489413\pi\)
0.978489 0.206301i \(-0.0661427\pi\)
\(770\) −22.4371 + 0.818821i −0.808577 + 0.0295083i