Properties

Label 41.2.g.a.20.2
Level 41
Weight 2
Character 41.20
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 20.2
Character \(\chi\) = 41.20
Dual form 41.2.g.a.39.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.290902 + 0.0945196i) q^{2} +(0.964912 - 0.964912i) q^{3} +(-1.54234 - 1.12058i) q^{4} +(-2.03721 + 2.80398i) q^{5} +(0.371897 - 0.189491i) q^{6} +(1.29765 + 0.661185i) q^{7} +(-0.702328 - 0.966671i) q^{8} +1.13789i q^{9} +O(q^{10})\) \(q+(0.290902 + 0.0945196i) q^{2} +(0.964912 - 0.964912i) q^{3} +(-1.54234 - 1.12058i) q^{4} +(-2.03721 + 2.80398i) q^{5} +(0.371897 - 0.189491i) q^{6} +(1.29765 + 0.661185i) q^{7} +(-0.702328 - 0.966671i) q^{8} +1.13789i q^{9} +(-0.857659 + 0.623126i) q^{10} +(0.285814 - 1.80456i) q^{11} +(-2.56949 + 0.406967i) q^{12} +(-2.91004 - 5.71127i) q^{13} +(0.314993 + 0.314993i) q^{14} +(0.739865 + 4.67132i) q^{15} +(1.06531 + 3.27868i) q^{16} +(3.14295 + 0.497794i) q^{17} +(-0.107553 + 0.331014i) q^{18} +(1.51872 - 2.98065i) q^{19} +(6.28416 - 2.04185i) q^{20} +(1.89010 - 0.614131i) q^{21} +(0.253710 - 0.497934i) q^{22} +(-1.67386 + 5.15161i) q^{23} +(-1.61044 - 0.255068i) q^{24} +(-2.16699 - 6.66932i) q^{25} +(-0.306707 - 1.93647i) q^{26} +(3.99270 + 3.99270i) q^{27} +(-1.26051 - 2.47389i) q^{28} +(-0.335113 + 0.0530767i) q^{29} +(-0.226304 + 1.42883i) q^{30} +(-3.04183 + 2.21002i) q^{31} +3.44421i q^{32} +(-1.46545 - 2.01702i) q^{33} +(0.867237 + 0.441879i) q^{34} +(-4.49754 + 2.29161i) q^{35} +(1.27510 - 1.75502i) q^{36} +(0.993200 + 0.721602i) q^{37} +(0.723527 - 0.723527i) q^{38} +(-8.31880 - 2.70294i) q^{39} +4.14132 q^{40} +(-6.22198 - 1.51227i) q^{41} +0.607881 q^{42} +(7.02832 + 2.28364i) q^{43} +(-2.46297 + 2.46297i) q^{44} +(-3.19062 - 2.31812i) q^{45} +(-0.973857 + 1.34040i) q^{46} +(-1.40824 + 0.717533i) q^{47} +(4.19156 + 2.13571i) q^{48} +(-2.86777 - 3.94715i) q^{49} -2.14494i q^{50} +(3.51299 - 2.55234i) q^{51} +(-1.91165 + 12.0697i) q^{52} +(1.12895 - 0.178807i) q^{53} +(0.784094 + 1.53887i) q^{54} +(4.47768 + 4.47768i) q^{55} +(-0.272226 - 1.71877i) q^{56} +(-1.41064 - 4.34149i) q^{57} +(-0.102502 - 0.0162347i) q^{58} +(4.16549 - 12.8200i) q^{59} +(4.09346 - 8.03387i) q^{60} +(-4.39785 + 1.42895i) q^{61} +(-1.09376 + 0.355385i) q^{62} +(-0.752356 + 1.47658i) q^{63} +(1.80507 - 5.55543i) q^{64} +(21.9426 + 3.47537i) q^{65} +(-0.235654 - 0.725270i) q^{66} +(1.04355 + 6.58873i) q^{67} +(-4.28969 - 4.28969i) q^{68} +(3.35573 + 6.58598i) q^{69} +(-1.52494 + 0.241527i) q^{70} +(-1.29298 + 8.16358i) q^{71} +(1.09997 - 0.799172i) q^{72} +8.99466i q^{73} +(0.220718 + 0.303792i) q^{74} +(-8.52627 - 4.34435i) q^{75} +(-5.68244 + 2.89535i) q^{76} +(1.56403 - 2.15271i) q^{77} +(-2.16447 - 1.57258i) q^{78} +(7.20521 - 7.20521i) q^{79} +(-11.3636 - 3.69226i) q^{80} +4.29154 q^{81} +(-1.66705 - 1.02802i) q^{82} -7.11449 q^{83} +(-3.60337 - 1.17081i) q^{84} +(-7.79865 + 7.79865i) q^{85} +(1.82870 + 1.32863i) q^{86} +(-0.272140 + 0.374569i) q^{87} +(-1.94515 + 0.991103i) q^{88} +(-12.9260 - 6.58613i) q^{89} +(-0.709049 - 0.975922i) q^{90} -9.33529i q^{91} +(8.35446 - 6.06987i) q^{92} +(-0.802625 + 5.06757i) q^{93} +(-0.477479 + 0.0756253i) q^{94} +(5.26374 + 10.3307i) q^{95} +(3.32336 + 3.32336i) q^{96} +(0.514313 + 3.24724i) q^{97} +(-0.461156 - 1.41929i) q^{98} +(2.05339 + 0.325225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{17}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.290902 + 0.0945196i 0.205698 + 0.0668355i 0.410054 0.912061i \(-0.365510\pi\)
−0.204356 + 0.978897i \(0.565510\pi\)
\(3\) 0.964912 0.964912i 0.557092 0.557092i −0.371386 0.928478i \(-0.621117\pi\)
0.928478 + 0.371386i \(0.121117\pi\)
\(4\) −1.54234 1.12058i −0.771172 0.560289i
\(5\) −2.03721 + 2.80398i −0.911069 + 1.25398i 0.0557316 + 0.998446i \(0.482251\pi\)
−0.966800 + 0.255533i \(0.917749\pi\)
\(6\) 0.371897 0.189491i 0.151826 0.0773595i
\(7\) 1.29765 + 0.661185i 0.490465 + 0.249905i 0.681689 0.731642i \(-0.261246\pi\)
−0.191224 + 0.981546i \(0.561246\pi\)
\(8\) −0.702328 0.966671i −0.248310 0.341770i
\(9\) 1.13789i 0.379297i
\(10\) −0.857659 + 0.623126i −0.271216 + 0.197050i
\(11\) 0.285814 1.80456i 0.0861761 0.544095i −0.906395 0.422431i \(-0.861177\pi\)
0.992571 0.121664i \(-0.0388230\pi\)
\(12\) −2.56949 + 0.406967i −0.741747 + 0.117481i
\(13\) −2.91004 5.71127i −0.807099 1.58402i −0.811731 0.584031i \(-0.801475\pi\)
0.00463289 0.999989i \(-0.498525\pi\)
\(14\) 0.314993 + 0.314993i 0.0841854 + 0.0841854i
\(15\) 0.739865 + 4.67132i 0.191032 + 1.20613i
\(16\) 1.06531 + 3.27868i 0.266327 + 0.819670i
\(17\) 3.14295 + 0.497794i 0.762277 + 0.120733i 0.525456 0.850821i \(-0.323895\pi\)
0.236821 + 0.971553i \(0.423895\pi\)
\(18\) −0.107553 + 0.331014i −0.0253505 + 0.0780207i
\(19\) 1.51872 2.98065i 0.348417 0.683808i −0.648588 0.761140i \(-0.724640\pi\)
0.997005 + 0.0773320i \(0.0246401\pi\)
\(20\) 6.28416 2.04185i 1.40518 0.456571i
\(21\) 1.89010 0.614131i 0.412454 0.134014i
\(22\) 0.253710 0.497934i 0.0540911 0.106160i
\(23\) −1.67386 + 5.15161i −0.349024 + 1.07419i 0.610370 + 0.792117i \(0.291021\pi\)
−0.959394 + 0.282069i \(0.908979\pi\)
\(24\) −1.61044 0.255068i −0.328729 0.0520656i
\(25\) −2.16699 6.66932i −0.433399 1.33386i
\(26\) −0.306707 1.93647i −0.0601502 0.379773i
\(27\) 3.99270 + 3.99270i 0.768395 + 0.768395i
\(28\) −1.26051 2.47389i −0.238214 0.467522i
\(29\) −0.335113 + 0.0530767i −0.0622289 + 0.00985609i −0.187471 0.982270i \(-0.560029\pi\)
0.125242 + 0.992126i \(0.460029\pi\)
\(30\) −0.226304 + 1.42883i −0.0413173 + 0.260867i
\(31\) −3.04183 + 2.21002i −0.546329 + 0.396931i −0.826430 0.563039i \(-0.809632\pi\)
0.280101 + 0.959971i \(0.409632\pi\)
\(32\) 3.44421i 0.608856i
\(33\) −1.46545 2.01702i −0.255103 0.351119i
\(34\) 0.867237 + 0.441879i 0.148730 + 0.0757817i
\(35\) −4.49754 + 2.29161i −0.760222 + 0.387353i
\(36\) 1.27510 1.75502i 0.212516 0.292503i
\(37\) 0.993200 + 0.721602i 0.163281 + 0.118631i 0.666425 0.745572i \(-0.267824\pi\)
−0.503144 + 0.864202i \(0.667824\pi\)
\(38\) 0.723527 0.723527i 0.117372 0.117372i
\(39\) −8.31880 2.70294i −1.33207 0.432817i
\(40\) 4.14132 0.654800
\(41\) −6.22198 1.51227i −0.971710 0.236176i
\(42\) 0.607881 0.0937981
\(43\) 7.02832 + 2.28364i 1.07181 + 0.348252i 0.791192 0.611568i \(-0.209461\pi\)
0.280617 + 0.959820i \(0.409461\pi\)
\(44\) −2.46297 + 2.46297i −0.371307 + 0.371307i
\(45\) −3.19062 2.31812i −0.475630 0.345565i
\(46\) −0.973857 + 1.34040i −0.143587 + 0.197631i
\(47\) −1.40824 + 0.717533i −0.205413 + 0.104663i −0.553671 0.832736i \(-0.686773\pi\)
0.348258 + 0.937399i \(0.386773\pi\)
\(48\) 4.19156 + 2.13571i 0.605000 + 0.308263i
\(49\) −2.86777 3.94715i −0.409681 0.563878i
\(50\) 2.14494i 0.303340i
\(51\) 3.51299 2.55234i 0.491918 0.357399i
\(52\) −1.91165 + 12.0697i −0.265098 + 1.67376i
\(53\) 1.12895 0.178807i 0.155073 0.0245611i −0.0784154 0.996921i \(-0.524986\pi\)
0.233488 + 0.972360i \(0.424986\pi\)
\(54\) 0.784094 + 1.53887i 0.106702 + 0.209414i
\(55\) 4.47768 + 4.47768i 0.603771 + 0.603771i
\(56\) −0.272226 1.71877i −0.0363778 0.229680i
\(57\) −1.41064 4.34149i −0.186843 0.575045i
\(58\) −0.102502 0.0162347i −0.0134591 0.00213172i
\(59\) 4.16549 12.8200i 0.542300 1.66903i −0.185024 0.982734i \(-0.559236\pi\)
0.727324 0.686294i \(-0.240764\pi\)
\(60\) 4.09346 8.03387i 0.528463 1.03717i
\(61\) −4.39785 + 1.42895i −0.563087 + 0.182958i −0.576710 0.816949i \(-0.695664\pi\)
0.0136225 + 0.999907i \(0.495664\pi\)
\(62\) −1.09376 + 0.355385i −0.138908 + 0.0451340i
\(63\) −0.752356 + 1.47658i −0.0947880 + 0.186032i
\(64\) 1.80507 5.55543i 0.225634 0.694429i
\(65\) 21.9426 + 3.47537i 2.72165 + 0.431067i
\(66\) −0.235654 0.725270i −0.0290071 0.0892745i
\(67\) 1.04355 + 6.58873i 0.127490 + 0.804941i 0.965713 + 0.259613i \(0.0835950\pi\)
−0.838223 + 0.545328i \(0.816405\pi\)
\(68\) −4.28969 4.28969i −0.520201 0.520201i
\(69\) 3.35573 + 6.58598i 0.403982 + 0.792859i
\(70\) −1.52494 + 0.241527i −0.182265 + 0.0288680i
\(71\) −1.29298 + 8.16358i −0.153449 + 0.968839i 0.784011 + 0.620746i \(0.213170\pi\)
−0.937460 + 0.348092i \(0.886830\pi\)
\(72\) 1.09997 0.799172i 0.129632 0.0941833i
\(73\) 8.99466i 1.05274i 0.850254 + 0.526372i \(0.176448\pi\)
−0.850254 + 0.526372i \(0.823552\pi\)
\(74\) 0.220718 + 0.303792i 0.0256579 + 0.0353151i
\(75\) −8.52627 4.34435i −0.984529 0.501642i
\(76\) −5.68244 + 2.89535i −0.651820 + 0.332119i
\(77\) 1.56403 2.15271i 0.178238 0.245324i
\(78\) −2.16447 1.57258i −0.245078 0.178060i
\(79\) 7.20521 7.20521i 0.810649 0.810649i −0.174082 0.984731i \(-0.555696\pi\)
0.984731 + 0.174082i \(0.0556958\pi\)
\(80\) −11.3636 3.69226i −1.27049 0.412807i
\(81\) 4.29154 0.476837
\(82\) −1.66705 1.02802i −0.184094 0.113526i
\(83\) −7.11449 −0.780916 −0.390458 0.920621i \(-0.627683\pi\)
−0.390458 + 0.920621i \(0.627683\pi\)
\(84\) −3.60337 1.17081i −0.393160 0.127745i
\(85\) −7.79865 + 7.79865i −0.845883 + 0.845883i
\(86\) 1.82870 + 1.32863i 0.197194 + 0.143270i
\(87\) −0.272140 + 0.374569i −0.0291765 + 0.0401580i
\(88\) −1.94515 + 0.991103i −0.207354 + 0.105652i
\(89\) −12.9260 6.58613i −1.37015 0.698128i −0.394798 0.918768i \(-0.629186\pi\)
−0.975355 + 0.220639i \(0.929186\pi\)
\(90\) −0.709049 0.975922i −0.0747403 0.102871i
\(91\) 9.33529i 0.978604i
\(92\) 8.35446 6.06987i 0.871013 0.632828i
\(93\) −0.802625 + 5.06757i −0.0832283 + 0.525483i
\(94\) −0.477479 + 0.0756253i −0.0492482 + 0.00780016i
\(95\) 5.26374 + 10.3307i 0.540048 + 1.05990i
\(96\) 3.32336 + 3.32336i 0.339189 + 0.339189i
\(97\) 0.514313 + 3.24724i 0.0522205 + 0.329707i 0.999944 + 0.0106137i \(0.00337850\pi\)
−0.947723 + 0.319094i \(0.896621\pi\)
\(98\) −0.461156 1.41929i −0.0465838 0.143370i
\(99\) 2.05339 + 0.325225i 0.206373 + 0.0326863i
\(100\) −4.13125 + 12.7147i −0.413125 + 1.27147i
\(101\) 2.96889 5.82677i 0.295415 0.579785i −0.694821 0.719183i \(-0.744516\pi\)
0.990237 + 0.139397i \(0.0445165\pi\)
\(102\) 1.26318 0.410433i 0.125074 0.0406389i
\(103\) 15.6950 5.09961i 1.54647 0.502479i 0.593319 0.804967i \(-0.297817\pi\)
0.953153 + 0.302488i \(0.0978173\pi\)
\(104\) −3.47712 + 6.82423i −0.340959 + 0.669171i
\(105\) −2.12853 + 6.55093i −0.207723 + 0.639305i
\(106\) 0.345313 + 0.0546922i 0.0335397 + 0.00531217i
\(107\) −2.13141 6.55981i −0.206051 0.634160i −0.999669 0.0257432i \(-0.991805\pi\)
0.793617 0.608417i \(-0.208195\pi\)
\(108\) −1.68398 10.6323i −0.162041 1.02309i
\(109\) 0.909585 + 0.909585i 0.0871225 + 0.0871225i 0.749325 0.662202i \(-0.230378\pi\)
−0.662202 + 0.749325i \(0.730378\pi\)
\(110\) 0.879336 + 1.72579i 0.0838414 + 0.164548i
\(111\) 1.65463 0.262068i 0.157051 0.0248744i
\(112\) −0.785419 + 4.95894i −0.0742151 + 0.468576i
\(113\) −5.72258 + 4.15770i −0.538335 + 0.391123i −0.823466 0.567365i \(-0.807963\pi\)
0.285131 + 0.958489i \(0.407963\pi\)
\(114\) 1.39628i 0.130774i
\(115\) −11.0350 15.1884i −1.02902 1.41633i
\(116\) 0.576336 + 0.293658i 0.0535115 + 0.0272655i
\(117\) 6.49879 3.31130i 0.600814 0.306130i
\(118\) 2.42349 3.33565i 0.223101 0.307072i
\(119\) 3.74931 + 2.72403i 0.343699 + 0.249712i
\(120\) 3.99601 3.99601i 0.364784 0.364784i
\(121\) 7.28688 + 2.36765i 0.662444 + 0.215241i
\(122\) −1.41441 −0.128054
\(123\) −7.46287 + 4.54446i −0.672904 + 0.409760i
\(124\) 7.16805 0.643710
\(125\) 6.63390 + 2.15548i 0.593354 + 0.192792i
\(126\) −0.358428 + 0.358428i −0.0319313 + 0.0319313i
\(127\) 4.45174 + 3.23438i 0.395028 + 0.287005i 0.767513 0.641034i \(-0.221494\pi\)
−0.372485 + 0.928038i \(0.621494\pi\)
\(128\) 5.09910 7.01831i 0.450701 0.620337i
\(129\) 8.98522 4.57820i 0.791105 0.403088i
\(130\) 6.05466 + 3.08500i 0.531029 + 0.270573i
\(131\) −4.78432 6.58506i −0.418008 0.575339i 0.547140 0.837041i \(-0.315716\pi\)
−0.965149 + 0.261702i \(0.915716\pi\)
\(132\) 4.75310i 0.413704i
\(133\) 3.94152 2.86368i 0.341773 0.248313i
\(134\) −0.319193 + 2.01531i −0.0275741 + 0.174096i
\(135\) −19.3294 + 3.06148i −1.66361 + 0.263490i
\(136\) −1.72618 3.38781i −0.148018 0.290502i
\(137\) 0.0757881 + 0.0757881i 0.00647501 + 0.00647501i 0.710337 0.703862i \(-0.248543\pi\)
−0.703862 + 0.710337i \(0.748543\pi\)
\(138\) 0.353681 + 2.23305i 0.0301073 + 0.190090i
\(139\) 4.01271 + 12.3499i 0.340354 + 1.04750i 0.964024 + 0.265814i \(0.0856408\pi\)
−0.623670 + 0.781688i \(0.714359\pi\)
\(140\) 9.50468 + 1.50539i 0.803292 + 0.127229i
\(141\) −0.666469 + 2.05118i −0.0561268 + 0.172741i
\(142\) −1.14775 + 2.25259i −0.0963170 + 0.189033i
\(143\) −11.1380 + 3.61897i −0.931409 + 0.302633i
\(144\) −3.73078 + 1.21220i −0.310898 + 0.101017i
\(145\) 0.533870 1.04778i 0.0443355 0.0870133i
\(146\) −0.850172 + 2.61656i −0.0703607 + 0.216548i
\(147\) −6.57579 1.04150i −0.542362 0.0859017i
\(148\) −0.723245 2.22592i −0.0594504 0.182969i
\(149\) 0.0276020 + 0.174272i 0.00226125 + 0.0142769i 0.988793 0.149292i \(-0.0476994\pi\)
−0.986532 + 0.163569i \(0.947699\pi\)
\(150\) −2.06968 2.06968i −0.168989 0.168989i
\(151\) −8.96384 17.5925i −0.729467 1.43166i −0.895281 0.445502i \(-0.853025\pi\)
0.165814 0.986157i \(-0.446975\pi\)
\(152\) −3.94794 + 0.625293i −0.320221 + 0.0507180i
\(153\) −0.566435 + 3.57633i −0.0457935 + 0.289129i
\(154\) 0.658453 0.478394i 0.0530596 0.0385501i
\(155\) 13.0315i 1.04672i
\(156\) 9.80159 + 13.4907i 0.784755 + 1.08012i
\(157\) −3.16869 1.61453i −0.252889 0.128853i 0.322951 0.946416i \(-0.395325\pi\)
−0.575840 + 0.817562i \(0.695325\pi\)
\(158\) 2.77704 1.41497i 0.220929 0.112569i
\(159\) 0.916800 1.26187i 0.0727069 0.100073i
\(160\) −9.65749 7.01658i −0.763492 0.554709i
\(161\) −5.57826 + 5.57826i −0.439628 + 0.439628i
\(162\) 1.24841 + 0.405634i 0.0980847 + 0.0318696i
\(163\) −4.06263 −0.318210 −0.159105 0.987262i \(-0.550861\pi\)
−0.159105 + 0.987262i \(0.550861\pi\)
\(164\) 7.90183 + 9.30465i 0.617029 + 0.726571i
\(165\) 8.64114 0.672712
\(166\) −2.06961 0.672459i −0.160633 0.0521929i
\(167\) 4.42614 4.42614i 0.342505 0.342505i −0.514803 0.857308i \(-0.672135\pi\)
0.857308 + 0.514803i \(0.172135\pi\)
\(168\) −1.92113 1.39579i −0.148219 0.107687i
\(169\) −16.5090 + 22.7227i −1.26993 + 1.74790i
\(170\) −3.00577 + 1.53151i −0.230532 + 0.117462i
\(171\) 3.39165 + 1.72813i 0.259366 + 0.132154i
\(172\) −8.28109 11.3979i −0.631428 0.869085i
\(173\) 5.09639i 0.387472i 0.981054 + 0.193736i \(0.0620605\pi\)
−0.981054 + 0.193736i \(0.937940\pi\)
\(174\) −0.114570 + 0.0832400i −0.00868554 + 0.00631041i
\(175\) 1.59766 10.0872i 0.120772 0.762523i
\(176\) 6.22105 0.985317i 0.468929 0.0742710i
\(177\) −8.35089 16.3895i −0.627691 1.23191i
\(178\) −3.13768 3.13768i −0.235179 0.235179i
\(179\) 1.40815 + 8.89068i 0.105250 + 0.664521i 0.982749 + 0.184943i \(0.0592101\pi\)
−0.877500 + 0.479578i \(0.840790\pi\)
\(180\) 2.32340 + 7.15069i 0.173176 + 0.532981i
\(181\) −11.7410 1.85960i −0.872704 0.138223i −0.296012 0.955184i \(-0.595657\pi\)
−0.576692 + 0.816961i \(0.695657\pi\)
\(182\) 0.882368 2.71565i 0.0654055 0.201297i
\(183\) −2.86473 + 5.62235i −0.211767 + 0.415616i
\(184\) 6.15552 2.00005i 0.453791 0.147446i
\(185\) −4.04672 + 1.31486i −0.297521 + 0.0966703i
\(186\) −0.712470 + 1.39830i −0.0522408 + 0.102528i
\(187\) 1.79660 5.52935i 0.131380 0.404346i
\(188\) 2.97604 + 0.471358i 0.217050 + 0.0343773i
\(189\) 2.54121 + 7.82104i 0.184846 + 0.568897i
\(190\) 0.554778 + 3.50273i 0.0402479 + 0.254115i
\(191\) 12.4651 + 12.4651i 0.901943 + 0.901943i 0.995604 0.0936612i \(-0.0298571\pi\)
−0.0936612 + 0.995604i \(0.529857\pi\)
\(192\) −3.61877 7.10224i −0.261162 0.512560i
\(193\) 13.5277 2.14258i 0.973749 0.154227i 0.350767 0.936463i \(-0.385921\pi\)
0.622982 + 0.782236i \(0.285921\pi\)
\(194\) −0.157314 + 0.993240i −0.0112945 + 0.0713105i
\(195\) 24.5261 17.8193i 1.75635 1.27607i
\(196\) 9.30142i 0.664387i
\(197\) 2.51439 + 3.46077i 0.179143 + 0.246569i 0.889140 0.457636i \(-0.151304\pi\)
−0.709997 + 0.704205i \(0.751304\pi\)
\(198\) 0.566594 + 0.288694i 0.0402661 + 0.0205166i
\(199\) 3.37859 1.72148i 0.239502 0.122032i −0.330120 0.943939i \(-0.607089\pi\)
0.569623 + 0.821906i \(0.307089\pi\)
\(200\) −4.92510 + 6.77882i −0.348257 + 0.479335i
\(201\) 7.36448 + 5.35061i 0.519450 + 0.377403i
\(202\) 1.41440 1.41440i 0.0995167 0.0995167i
\(203\) −0.469952 0.152697i −0.0329842 0.0107172i
\(204\) −8.27835 −0.579600
\(205\) 16.9159 14.3655i 1.18145 1.00333i
\(206\) 5.04771 0.351690
\(207\) −5.86197 1.90467i −0.407435 0.132384i
\(208\) 15.6253 15.6253i 1.08342 1.08342i
\(209\) −4.94468 3.59252i −0.342031 0.248500i
\(210\) −1.23838 + 1.70449i −0.0854565 + 0.117621i
\(211\) 1.22845 0.625927i 0.0845701 0.0430906i −0.411194 0.911548i \(-0.634888\pi\)
0.495764 + 0.868457i \(0.334888\pi\)
\(212\) −1.94159 0.989290i −0.133349 0.0679447i
\(213\) 6.62952 + 9.12475i 0.454247 + 0.625218i
\(214\) 2.10972i 0.144217i
\(215\) −20.7215 + 15.0550i −1.41319 + 1.02674i
\(216\) 1.05544 6.66381i 0.0718139 0.453415i
\(217\) −5.40846 + 0.856616i −0.367150 + 0.0581509i
\(218\) 0.178626 + 0.350573i 0.0120981 + 0.0237438i
\(219\) 8.67905 + 8.67905i 0.586476 + 0.586476i
\(220\) −1.88853 11.9237i −0.127325 0.803897i
\(221\) −6.30305 19.3988i −0.423989 1.30490i
\(222\) 0.506106 + 0.0801593i 0.0339676 + 0.00537994i
\(223\) −0.544037 + 1.67437i −0.0364314 + 0.112124i −0.967618 0.252417i \(-0.918774\pi\)
0.931187 + 0.364542i \(0.118774\pi\)
\(224\) −2.27726 + 4.46937i −0.152156 + 0.298623i
\(225\) 7.58896 2.46580i 0.505931 0.164387i
\(226\) −2.05769 + 0.668585i −0.136876 + 0.0444736i
\(227\) 0.0104794 0.0205670i 0.000695544 0.00136508i −0.890658 0.454673i \(-0.849756\pi\)
0.891354 + 0.453308i \(0.149756\pi\)
\(228\) −2.68930 + 8.27680i −0.178103 + 0.548145i
\(229\) −23.8647 3.77980i −1.57703 0.249776i −0.694308 0.719678i \(-0.744289\pi\)
−0.882719 + 0.469902i \(0.844289\pi\)
\(230\) −1.77450 5.46136i −0.117007 0.360111i
\(231\) −0.568018 3.58633i −0.0373729 0.235963i
\(232\) 0.286667 + 0.286667i 0.0188206 + 0.0188206i
\(233\) 8.63167 + 16.9406i 0.565480 + 1.10982i 0.979855 + 0.199710i \(0.0640001\pi\)
−0.414375 + 0.910106i \(0.636000\pi\)
\(234\) 2.20349 0.348999i 0.144047 0.0228148i
\(235\) 0.856929 5.41044i 0.0558999 0.352938i
\(236\) −20.7905 + 15.1052i −1.35335 + 0.983263i
\(237\) 13.9048i 0.903213i
\(238\) 0.833205 + 1.14681i 0.0540087 + 0.0743366i
\(239\) 15.9440 + 8.12387i 1.03133 + 0.525490i 0.885899 0.463878i \(-0.153543\pi\)
0.145433 + 0.989368i \(0.453543\pi\)
\(240\) −14.5276 + 7.40218i −0.937752 + 0.477808i
\(241\) −3.38611 + 4.66058i −0.218118 + 0.300214i −0.904029 0.427472i \(-0.859404\pi\)
0.685910 + 0.727686i \(0.259404\pi\)
\(242\) 1.89598 + 1.37751i 0.121878 + 0.0885495i
\(243\) −7.83714 + 7.83714i −0.502753 + 0.502753i
\(244\) 8.38425 + 2.72421i 0.536747 + 0.174400i
\(245\) 16.9100 1.08034
\(246\) −2.60050 + 0.616603i −0.165802 + 0.0393132i
\(247\) −21.4428 −1.36437
\(248\) 4.27273 + 1.38829i 0.271318 + 0.0881567i
\(249\) −6.86485 + 6.86485i −0.435042 + 0.435042i
\(250\) 1.72608 + 1.25407i 0.109167 + 0.0793142i
\(251\) 14.5918 20.0839i 0.921025 1.26768i −0.0422335 0.999108i \(-0.513447\pi\)
0.963259 0.268575i \(-0.0865527\pi\)
\(252\) 2.81502 1.43432i 0.177330 0.0903539i
\(253\) 8.81797 + 4.49298i 0.554381 + 0.282471i
\(254\) 0.989306 + 1.36166i 0.0620746 + 0.0854383i
\(255\) 15.0500i 0.942469i
\(256\) −7.30476 + 5.30722i −0.456548 + 0.331701i
\(257\) 1.77211 11.1887i 0.110541 0.697931i −0.868716 0.495311i \(-0.835054\pi\)
0.979257 0.202620i \(-0.0649457\pi\)
\(258\) 3.04655 0.482525i 0.189670 0.0300407i
\(259\) 0.811713 + 1.59308i 0.0504374 + 0.0989889i
\(260\) −29.9487 29.9487i −1.85734 1.85734i
\(261\) −0.0603954 0.381322i −0.00373838 0.0236032i
\(262\) −0.769350 2.36782i −0.0475306 0.146284i
\(263\) −5.50072 0.871229i −0.339189 0.0537223i −0.0154834 0.999880i \(-0.504929\pi\)
−0.323706 + 0.946158i \(0.604929\pi\)
\(264\) −0.920570 + 2.83322i −0.0566572 + 0.174373i
\(265\) −1.79853 + 3.52981i −0.110483 + 0.216835i
\(266\) 1.41727 0.460499i 0.0868983 0.0282350i
\(267\) −18.8275 + 6.11742i −1.15222 + 0.374380i
\(268\) 5.77367 11.3315i 0.352683 0.692180i
\(269\) 2.20004 6.77102i 0.134139 0.412836i −0.861316 0.508069i \(-0.830360\pi\)
0.995455 + 0.0952327i \(0.0303595\pi\)
\(270\) −5.91233 0.936421i −0.359813 0.0569888i
\(271\) 4.59561 + 14.1438i 0.279164 + 0.859177i 0.988088 + 0.153892i \(0.0491809\pi\)
−0.708924 + 0.705285i \(0.750819\pi\)
\(272\) 1.71610 + 10.8350i 0.104054 + 0.656970i
\(273\) −9.00773 9.00773i −0.545173 0.545173i
\(274\) 0.0148834 + 0.0292103i 0.000899140 + 0.00176466i
\(275\) −12.6545 + 2.00428i −0.763097 + 0.120863i
\(276\) 2.20443 13.9182i 0.132691 0.837778i
\(277\) −6.93372 + 5.03764i −0.416607 + 0.302683i −0.776271 0.630399i \(-0.782891\pi\)
0.359664 + 0.933082i \(0.382891\pi\)
\(278\) 3.97188i 0.238217i
\(279\) −2.51476 3.46127i −0.150555 0.207221i
\(280\) 5.37398 + 2.73818i 0.321157 + 0.163637i
\(281\) 10.9370 5.57269i 0.652448 0.332439i −0.0962434 0.995358i \(-0.530683\pi\)
0.748691 + 0.662919i \(0.230683\pi\)
\(282\) −0.387754 + 0.533697i −0.0230904 + 0.0317812i
\(283\) 17.0898 + 12.4165i 1.01588 + 0.738083i 0.965435 0.260644i \(-0.0839347\pi\)
0.0504491 + 0.998727i \(0.483935\pi\)
\(284\) 11.1422 11.1422i 0.661166 0.661166i
\(285\) 15.0472 + 4.88914i 0.891321 + 0.289608i
\(286\) −3.58214 −0.211816
\(287\) −7.07406 6.07627i −0.417569 0.358671i
\(288\) −3.91913 −0.230937
\(289\) −6.53764 2.12421i −0.384567 0.124953i
\(290\) 0.254339 0.254339i 0.0149353 0.0149353i
\(291\) 3.62957 + 2.63704i 0.212769 + 0.154586i
\(292\) 10.0792 13.8729i 0.589842 0.811848i
\(293\) −23.6770 + 12.0640i −1.38323 + 0.704789i −0.977839 0.209356i \(-0.932863\pi\)
−0.405387 + 0.914145i \(0.632863\pi\)
\(294\) −1.81447 0.924516i −0.105822 0.0539189i
\(295\) 27.4612 + 37.7971i 1.59885 + 2.20063i
\(296\) 1.46690i 0.0852618i
\(297\) 8.34623 6.06389i 0.484297 0.351862i
\(298\) −0.00844269 + 0.0533050i −0.000489072 + 0.00308788i
\(299\) 34.2932 5.43151i 1.98323 0.314113i
\(300\) 8.28226 + 16.2548i 0.478176 + 0.938474i
\(301\) 7.61039 + 7.61039i 0.438655 + 0.438655i
\(302\) −0.944756 5.96495i −0.0543646 0.343244i
\(303\) −2.75760 8.48703i −0.158420 0.487567i
\(304\) 11.3905 + 1.80408i 0.653289 + 0.103471i
\(305\) 4.95261 15.2426i 0.283586 0.872787i
\(306\) −0.502810 + 0.986820i −0.0287437 + 0.0564128i
\(307\) 6.65182 2.16131i 0.379639 0.123352i −0.112980 0.993597i \(-0.536040\pi\)
0.492619 + 0.870245i \(0.336040\pi\)
\(308\) −4.82455 + 1.56759i −0.274905 + 0.0893219i
\(309\) 10.2236 20.0649i 0.581600 1.14145i
\(310\) 1.23173 3.79089i 0.0699578 0.215308i
\(311\) −3.25192 0.515053i −0.184399 0.0292060i 0.0635517 0.997979i \(-0.479757\pi\)
−0.247951 + 0.968773i \(0.579757\pi\)
\(312\) 3.22967 + 9.93989i 0.182844 + 0.562735i
\(313\) −1.77802 11.2260i −0.100499 0.634528i −0.985595 0.169120i \(-0.945907\pi\)
0.885096 0.465408i \(-0.154093\pi\)
\(314\) −0.769173 0.769173i −0.0434069 0.0434069i
\(315\) −2.60760 5.11770i −0.146922 0.288350i
\(316\) −19.1869 + 3.03891i −1.07935 + 0.170952i
\(317\) 4.29092 27.0918i 0.241002 1.52163i −0.509334 0.860569i \(-0.670108\pi\)
0.750336 0.661057i \(-0.229892\pi\)
\(318\) 0.385970 0.280423i 0.0216441 0.0157254i
\(319\) 0.619901i 0.0347078i
\(320\) 11.9000 + 16.3790i 0.665231 + 0.915612i
\(321\) −8.38626 4.27301i −0.468075 0.238496i
\(322\) −2.14998 + 1.09547i −0.119814 + 0.0610481i
\(323\) 6.25700 8.61202i 0.348149 0.479185i
\(324\) −6.61902 4.80900i −0.367724 0.267167i
\(325\) −31.7843 + 31.7843i −1.76307 + 1.76307i
\(326\) −1.18183 0.383998i −0.0654552 0.0212677i
\(327\) 1.75534 0.0970705
\(328\) 2.90801 + 7.07672i 0.160568 + 0.390746i
\(329\) −2.30182 −0.126903
\(330\) 2.51372 + 0.816757i 0.138376 + 0.0449610i
\(331\) −10.6130 + 10.6130i −0.583344 + 0.583344i −0.935821 0.352477i \(-0.885340\pi\)
0.352477 + 0.935821i \(0.385340\pi\)
\(332\) 10.9730 + 7.97234i 0.602221 + 0.437539i
\(333\) −0.821104 + 1.13015i −0.0449962 + 0.0619320i
\(334\) 1.70593 0.869213i 0.0933442 0.0475612i
\(335\) −20.6006 10.4965i −1.12553 0.573487i
\(336\) 4.02708 + 5.54280i 0.219695 + 0.302385i
\(337\) 11.4038i 0.621207i −0.950540 0.310603i \(-0.899469\pi\)
0.950540 0.310603i \(-0.100531\pi\)
\(338\) −6.95025 + 5.04965i −0.378044 + 0.274665i
\(339\) −1.50997 + 9.53360i −0.0820105 + 0.517794i
\(340\) 20.7672 3.28920i 1.12626 0.178382i
\(341\) 3.11871 + 6.12082i 0.168888 + 0.331461i
\(342\) 0.823294 + 0.823294i 0.0445186 + 0.0445186i
\(343\) −2.70637 17.0873i −0.146130 0.922629i
\(344\) −2.72866 8.39794i −0.147119 0.452787i
\(345\) −25.3033 4.00765i −1.36228 0.215765i
\(346\) −0.481709 + 1.48255i −0.0258968 + 0.0797023i
\(347\) −15.1544 + 29.7422i −0.813531 + 1.59665i −0.0110717 + 0.999939i \(0.503524\pi\)
−0.802460 + 0.596706i \(0.796476\pi\)
\(348\) 0.839467 0.272760i 0.0450002 0.0146214i
\(349\) −4.88104 + 1.58595i −0.261276 + 0.0848938i −0.436726 0.899595i \(-0.643862\pi\)
0.175450 + 0.984488i \(0.443862\pi\)
\(350\) 1.41820 2.78338i 0.0758061 0.148778i
\(351\) 11.1845 34.4223i 0.596983 1.83732i
\(352\) 6.21527 + 0.984402i 0.331275 + 0.0524688i
\(353\) 7.91928 + 24.3730i 0.421501 + 1.29725i 0.906305 + 0.422624i \(0.138891\pi\)
−0.484804 + 0.874623i \(0.661109\pi\)
\(354\) −0.880153 5.55707i −0.0467796 0.295355i
\(355\) −20.2564 20.2564i −1.07510 1.07510i
\(356\) 12.5561 + 24.6427i 0.665471 + 1.30606i
\(357\) 6.24620 0.989301i 0.330584 0.0523594i
\(358\) −0.430712 + 2.71941i −0.0227638 + 0.143725i
\(359\) −1.10482 + 0.802698i −0.0583101 + 0.0423648i −0.616559 0.787309i \(-0.711474\pi\)
0.558248 + 0.829674i \(0.311474\pi\)
\(360\) 4.71237i 0.248363i
\(361\) 4.59015 + 6.31780i 0.241587 + 0.332516i
\(362\) −3.23972 1.65072i −0.170276 0.0867598i
\(363\) 9.31577 4.74662i 0.488951 0.249133i
\(364\) −10.4609 + 14.3982i −0.548302 + 0.754672i
\(365\) −25.2208 18.3240i −1.32012 0.959123i
\(366\) −1.36478 + 1.36478i −0.0713380 + 0.0713380i
\(367\) 8.38455 + 2.72431i 0.437670 + 0.142208i 0.519560 0.854434i \(-0.326096\pi\)
−0.0818904 + 0.996641i \(0.526096\pi\)
\(368\) −18.6737 −0.973432
\(369\) 1.72079 7.07993i 0.0895808 0.368567i
\(370\) −1.30148 −0.0676606
\(371\) 1.58320 + 0.514413i 0.0821956 + 0.0267070i
\(372\) 6.91654 6.91654i 0.358606 0.358606i
\(373\) −13.1261 9.53664i −0.679641 0.493788i 0.193597 0.981081i \(-0.437984\pi\)
−0.873239 + 0.487293i \(0.837984\pi\)
\(374\) 1.04527 1.43868i 0.0540494 0.0743926i
\(375\) 8.48098 4.32128i 0.437956 0.223150i
\(376\) 1.68266 + 0.857359i 0.0867767 + 0.0442149i
\(377\) 1.27833 + 1.75946i 0.0658371 + 0.0906170i
\(378\) 2.51535i 0.129375i
\(379\) −9.20110 + 6.68499i −0.472629 + 0.343385i −0.798465 0.602041i \(-0.794354\pi\)
0.325836 + 0.945426i \(0.394354\pi\)
\(380\) 3.45783 21.8319i 0.177383 1.11995i
\(381\) 7.41643 1.17465i 0.379955 0.0601790i
\(382\) 2.44792 + 4.80431i 0.125246 + 0.245810i
\(383\) 3.21049 + 3.21049i 0.164048 + 0.164048i 0.784357 0.620309i \(-0.212993\pi\)
−0.620309 + 0.784357i \(0.712993\pi\)
\(384\) −1.85187 11.6922i −0.0945028 0.596667i
\(385\) 2.84988 + 8.77104i 0.145243 + 0.447014i
\(386\) 4.13776 + 0.655357i 0.210606 + 0.0333568i
\(387\) −2.59853 + 7.99746i −0.132091 + 0.406534i
\(388\) 2.84554 5.58469i 0.144461 0.283520i
\(389\) −24.2065 + 7.86516i −1.22732 + 0.398780i −0.849742 0.527199i \(-0.823242\pi\)
−0.377576 + 0.925979i \(0.623242\pi\)
\(390\) 8.81896 2.86546i 0.446566 0.145098i
\(391\) −7.82530 + 15.3580i −0.395742 + 0.776688i
\(392\) −1.80148 + 5.54438i −0.0909884 + 0.280033i
\(393\) −10.9705 1.73755i −0.553386 0.0876478i
\(394\) 0.404331 + 1.24440i 0.0203699 + 0.0626920i
\(395\) 5.52473 + 34.8818i 0.277980 + 1.75509i
\(396\) −2.80259 2.80259i −0.140836 0.140836i
\(397\) 10.4510 + 20.5112i 0.524519 + 1.02943i 0.989558 + 0.144136i \(0.0460402\pi\)
−0.465039 + 0.885290i \(0.653960\pi\)
\(398\) 1.14555 0.181438i 0.0574213 0.00909464i
\(399\) 1.04002 6.56642i 0.0520661 0.328732i
\(400\) 19.5581 14.2098i 0.977903 0.710488i
\(401\) 21.8245i 1.08986i −0.838481 0.544931i \(-0.816556\pi\)
0.838481 0.544931i \(-0.183444\pi\)
\(402\) 1.63660 + 2.25259i 0.0816262 + 0.112349i
\(403\) 21.4739 + 10.9415i 1.06969 + 0.545034i
\(404\) −11.1084 + 5.66001i −0.552664 + 0.281596i
\(405\) −8.74277 + 12.0334i −0.434432 + 0.597944i
\(406\) −0.122277 0.0888395i −0.00606851 0.00440903i
\(407\) 1.58604 1.58604i 0.0786173 0.0786173i
\(408\) −4.93455 1.60333i −0.244296 0.0793767i
\(409\) −3.45570 −0.170874 −0.0854368 0.996344i \(-0.527229\pi\)
−0.0854368 + 0.996344i \(0.527229\pi\)
\(410\) 6.27867 2.58007i 0.310082 0.127421i
\(411\) 0.146258 0.00721436
\(412\) −29.9216 9.72211i −1.47413 0.478974i
\(413\) 13.8818 13.8818i 0.683077 0.683077i
\(414\) −1.52523 1.10814i −0.0749609 0.0544622i
\(415\) 14.4937 19.9489i 0.711468 0.979252i
\(416\) 19.6708 10.0228i 0.964440 0.491407i
\(417\) 15.7884 + 8.04462i 0.773164 + 0.393947i
\(418\) −1.09885 1.51244i −0.0537466 0.0739759i
\(419\) 18.7536i 0.916172i −0.888908 0.458086i \(-0.848535\pi\)
0.888908 0.458086i \(-0.151465\pi\)
\(420\) 10.6237 7.71861i 0.518386 0.376629i
\(421\) −0.976054 + 6.16256i −0.0475699 + 0.300345i −0.999990 0.00444331i \(-0.998586\pi\)
0.952420 + 0.304788i \(0.0985856\pi\)
\(422\) 0.416521 0.0659704i 0.0202759 0.00321139i
\(423\) −0.816474 1.60242i −0.0396983 0.0779123i
\(424\) −0.965738 0.965738i −0.0469004 0.0469004i
\(425\) −3.49080 22.0401i −0.169329 1.06910i
\(426\) 1.06607 + 3.28102i 0.0516512 + 0.158966i
\(427\) −6.65167 1.05352i −0.321897 0.0509834i
\(428\) −4.06341 + 12.5059i −0.196412 + 0.604495i
\(429\) −7.25524 + 14.2392i −0.350286 + 0.687476i
\(430\) −7.45090 + 2.42094i −0.359314 + 0.116748i
\(431\) 6.05658 1.96790i 0.291735 0.0947906i −0.159493 0.987199i \(-0.550986\pi\)
0.451228 + 0.892408i \(0.350986\pi\)
\(432\) −8.83733 + 17.3442i −0.425186 + 0.834475i
\(433\) −0.625179 + 1.92410i −0.0300442 + 0.0924664i −0.964954 0.262418i \(-0.915480\pi\)
0.934910 + 0.354885i \(0.115480\pi\)
\(434\) −1.65430 0.262015i −0.0794088 0.0125771i
\(435\) −0.495877 1.52615i −0.0237755 0.0731734i
\(436\) −0.383632 2.42216i −0.0183726 0.116000i
\(437\) 12.8130 + 12.8130i 0.612931 + 0.612931i
\(438\) 1.70441 + 3.34509i 0.0814398 + 0.159835i
\(439\) 21.7512 3.44505i 1.03813 0.164423i 0.385974 0.922510i \(-0.373865\pi\)
0.652154 + 0.758086i \(0.273865\pi\)
\(440\) 1.18365 7.47325i 0.0564281 0.356273i
\(441\) 4.49142 3.26321i 0.213877 0.155391i
\(442\) 6.23891i 0.296754i
\(443\) −9.35155 12.8713i −0.444305 0.611534i 0.526857 0.849954i \(-0.323370\pi\)
−0.971162 + 0.238420i \(0.923370\pi\)
\(444\) −2.84568 1.44995i −0.135050 0.0688115i
\(445\) 44.8004 22.8269i 2.12374 1.08210i
\(446\) −0.316523 + 0.435656i −0.0149878 + 0.0206289i
\(447\) 0.194791 + 0.141524i 0.00921330 + 0.00669385i
\(448\) 6.01552 6.01552i 0.284206 0.284206i
\(449\) 21.4180 + 6.95914i 1.01078 + 0.328422i 0.767165 0.641450i \(-0.221667\pi\)
0.243615 + 0.969872i \(0.421667\pi\)
\(450\) 2.44071 0.115056
\(451\) −4.50730 + 10.7957i −0.212240 + 0.508350i
\(452\) 13.4852 0.634291
\(453\) −25.6246 8.32592i −1.20395 0.391186i
\(454\) 0.00499247 0.00499247i 0.000234308 0.000234308i
\(455\) 26.1760 + 19.0180i 1.22715 + 0.891576i
\(456\) −3.20607 + 4.41277i −0.150138 + 0.206647i
\(457\) 3.27733 1.66988i 0.153307 0.0781138i −0.375654 0.926760i \(-0.622582\pi\)
0.528961 + 0.848646i \(0.322582\pi\)
\(458\) −6.58502 3.35524i −0.307698 0.156780i
\(459\) 10.5613 + 14.5364i 0.492959 + 0.678500i
\(460\) 35.7914i 1.66878i
\(461\) −3.11530 + 2.26340i −0.145094 + 0.105417i −0.657964 0.753049i \(-0.728582\pi\)
0.512870 + 0.858466i \(0.328582\pi\)
\(462\) 0.173741 1.09696i 0.00808316 0.0510350i
\(463\) −31.3684 + 4.96826i −1.45781 + 0.230895i −0.834469 0.551054i \(-0.814226\pi\)
−0.623342 + 0.781949i \(0.714226\pi\)
\(464\) −0.531020 1.04218i −0.0246520 0.0483822i
\(465\) −12.5743 12.5743i −0.583118 0.583118i
\(466\) 0.909746 + 5.74391i 0.0421432 + 0.266082i
\(467\) 9.68505 + 29.8075i 0.448171 + 1.37933i 0.878969 + 0.476879i \(0.158232\pi\)
−0.430798 + 0.902448i \(0.641768\pi\)
\(468\) −13.7339 2.17524i −0.634852 0.100551i
\(469\) −3.00221 + 9.23984i −0.138629 + 0.426656i
\(470\) 0.760675 1.49291i 0.0350873 0.0688627i
\(471\) −4.61539 + 1.49963i −0.212666 + 0.0690993i
\(472\) −15.3183 + 4.97722i −0.705082 + 0.229095i
\(473\) 6.12975 12.0303i 0.281846 0.553155i
\(474\) 1.31427 4.04492i 0.0603666 0.185789i
\(475\) −23.1700 3.66976i −1.06311 0.168380i
\(476\) −2.73023 8.40279i −0.125140 0.385141i
\(477\) 0.203463 + 1.28462i 0.00931594 + 0.0588185i
\(478\) 3.87027 + 3.87027i 0.177022 + 0.177022i
\(479\) −18.7953 36.8879i −0.858780 1.68545i −0.718711 0.695309i \(-0.755268\pi\)
−0.140069 0.990142i \(-0.544732\pi\)
\(480\) −16.0890 + 2.54825i −0.734360 + 0.116311i
\(481\) 1.23101 7.77232i 0.0561294 0.354387i
\(482\) −1.42554 + 1.03572i −0.0649316 + 0.0471756i
\(483\) 10.7650i 0.489827i
\(484\) −8.58574 11.8173i −0.390261 0.537148i
\(485\) −10.1530 5.17320i −0.461023 0.234903i
\(486\) −3.02060 + 1.53907i −0.137017 + 0.0698138i
\(487\) 19.1905 26.4134i 0.869602 1.19691i −0.109591 0.993977i \(-0.534954\pi\)
0.979194 0.202928i \(-0.0650458\pi\)
\(488\) 4.47006 + 3.24769i 0.202350 + 0.147016i
\(489\) −3.92008 + 3.92008i −0.177272 + 0.177272i
\(490\) 4.91914 + 1.59833i 0.222224 + 0.0722050i
\(491\) −40.3633 −1.82157 −0.910786 0.412880i \(-0.864523\pi\)
−0.910786 + 0.412880i \(0.864523\pi\)
\(492\) 16.6027 + 1.35361i 0.748509 + 0.0610252i
\(493\) −1.07966 −0.0486256
\(494\) −6.23774 2.02677i −0.280649 0.0911885i
\(495\) −5.09511 + 5.09511i −0.229008 + 0.229008i
\(496\) −10.4864 7.61884i −0.470855 0.342096i
\(497\) −7.07548 + 9.73856i −0.317379 + 0.436834i
\(498\) −2.64586 + 1.34813i −0.118564 + 0.0604113i
\(499\) −9.86612 5.02704i −0.441668 0.225041i 0.218992 0.975727i \(-0.429723\pi\)
−0.660660 + 0.750686i \(0.729723\pi\)
\(500\) −7.81637 10.7583i −0.349559 0.481126i
\(501\) 8.54167i 0.381613i
\(502\) 6.14309 4.46322i 0.274180 0.199203i
\(503\) 5.39469 34.0608i 0.240538 1.51869i −0.511333 0.859383i \(-0.670848\pi\)
0.751870 0.659311i \(-0.229152\pi\)
\(504\) 1.95577 0.309764i 0.0871169 0.0137980i
\(505\) 10.2899 + 20.1951i 0.457895 + 0.898669i
\(506\) 2.14049 + 2.14049i 0.0951562 + 0.0951562i
\(507\) 5.99568 + 37.8552i 0.266277 + 1.68121i
\(508\) −3.24174 9.97706i −0.143829 0.442660i
\(509\) 20.1967 + 3.19884i 0.895202 + 0.141786i 0.587050 0.809551i \(-0.300289\pi\)
0.308152 + 0.951337i \(0.400289\pi\)
\(510\) −1.42252 + 4.37808i −0.0629904 + 0.193864i
\(511\) −5.94713 + 11.6719i −0.263086 + 0.516335i
\(512\) −19.1276 + 6.21495i −0.845331 + 0.274665i
\(513\) 17.9646 5.83706i 0.793157 0.257712i
\(514\) 1.57306 3.08731i 0.0693847 0.136175i
\(515\) −17.6748 + 54.3974i −0.778844 + 2.39704i
\(516\) −18.9885 3.00749i −0.835924 0.132397i
\(517\) 0.892336 + 2.74633i 0.0392449 + 0.120783i
\(518\) 0.0855515 + 0.540151i 0.00375892 + 0.0237329i
\(519\) 4.91757 + 4.91757i 0.215857 + 0.215857i
\(520\) −12.0514 23.6522i −0.528488 1.03722i
\(521\) 27.5874 4.36942i 1.20863 0.191428i 0.480577 0.876952i \(-0.340427\pi\)
0.728050 + 0.685525i \(0.240427\pi\)
\(522\) 0.0184733 0.116636i 0.000808553 0.00510500i
\(523\) 29.2671 21.2638i 1.27976 0.929800i 0.280214 0.959937i \(-0.409594\pi\)
0.999546 + 0.0301373i \(0.00959445\pi\)
\(524\) 15.5176i 0.677891i
\(525\) −8.19168 11.2749i −0.357514 0.492076i
\(526\) −1.51782 0.773368i −0.0661801 0.0337204i
\(527\) −10.6605 + 5.43177i −0.464377 + 0.236612i
\(528\) 5.05202 6.95350i 0.219861 0.302612i
\(529\) −5.12993 3.72711i −0.223040 0.162048i
\(530\) −0.856831 + 0.856831i −0.0372184 + 0.0372184i
\(531\) 14.5878 + 4.73987i 0.633057 + 0.205693i
\(532\) −9.28817 −0.402693
\(533\) 9.46924 + 39.9361i 0.410158 + 1.72983i
\(534\) −6.05516 −0.262033
\(535\) 22.7357 + 7.38728i 0.982950 + 0.319380i
\(536\) 5.63622 5.63622i 0.243448 0.243448i
\(537\) 9.93746 + 7.21999i 0.428833 + 0.311565i
\(538\) 1.27999 1.76175i 0.0551842 0.0759546i
\(539\) −7.94250 + 4.04691i −0.342108 + 0.174313i
\(540\) 33.2433 + 16.9383i 1.43056 + 0.728908i
\(541\) −20.5933 28.3442i −0.885374 1.21861i −0.974903 0.222628i \(-0.928536\pi\)
0.0895294 0.995984i \(-0.471464\pi\)
\(542\) 4.54884i 0.195389i
\(543\) −13.1234 + 9.53472i −0.563180 + 0.409174i
\(544\) −1.71451 + 10.8250i −0.0735088 + 0.464116i
\(545\) −4.40348 + 0.697442i −0.188624 + 0.0298751i
\(546\) −1.76896 3.47177i −0.0757043 0.148578i
\(547\) −9.29596 9.29596i −0.397467 0.397467i 0.479872 0.877339i \(-0.340683\pi\)
−0.877339 + 0.479872i \(0.840683\pi\)
\(548\) −0.0319648 0.201818i −0.00136547 0.00862123i
\(549\) −1.62599 5.00427i −0.0693954 0.213577i
\(550\) −3.87067 0.613054i −0.165046 0.0261407i
\(551\) −0.350739 + 1.07946i −0.0149420 + 0.0459866i
\(552\) 4.00966 7.86940i 0.170662 0.334944i
\(553\) 14.1138 4.58585i 0.600180 0.195010i
\(554\) −2.49319 + 0.810085i −0.105925 + 0.0344172i
\(555\) −2.63600 + 5.17345i −0.111892 + 0.219601i
\(556\) 7.65001 23.5443i 0.324433 0.998501i
\(557\) 28.1382 + 4.45665i 1.19225 + 0.188834i 0.720855 0.693086i \(-0.243749\pi\)
0.471399 + 0.881920i \(0.343749\pi\)
\(558\) −0.404390 1.24458i −0.0171192 0.0526874i
\(559\) −7.41019 46.7861i −0.313418 1.97884i
\(560\) −12.3047 12.3047i −0.519969 0.519969i
\(561\) −3.60178 7.06890i −0.152067 0.298449i
\(562\) 3.70832 0.587341i 0.156426 0.0247755i
\(563\) 2.11661 13.3638i 0.0892046 0.563216i −0.902089 0.431549i \(-0.857967\pi\)
0.991294 0.131667i \(-0.0420328\pi\)
\(564\) 3.32643 2.41680i 0.140068 0.101765i
\(565\) 24.5161i 1.03140i
\(566\) 3.79785 + 5.22730i 0.159636 + 0.219720i
\(567\) 5.56891 + 2.83750i 0.233872 + 0.119164i
\(568\) 8.79959 4.48362i 0.369223 0.188128i
\(569\) −26.6643 + 36.7002i −1.11782 + 1.53855i −0.308467 + 0.951235i \(0.599816\pi\)
−0.809357 + 0.587317i \(0.800184\pi\)
\(570\) 3.91514 + 2.84452i 0.163987 + 0.119144i
\(571\) −1.62367 + 1.62367i −0.0679486 + 0.0679486i −0.740264 0.672316i \(-0.765300\pi\)
0.672316 + 0.740264i \(0.265300\pi\)
\(572\) 21.2340 + 6.89935i 0.887839 + 0.288476i
\(573\) 24.0554 1.00493
\(574\) −1.48353 2.43623i −0.0619213 0.101686i
\(575\) 37.9850 1.58409
\(576\) 6.32147 + 2.05397i 0.263395 + 0.0855821i
\(577\) −4.24210 + 4.24210i −0.176601 + 0.176601i −0.789872 0.613271i \(-0.789853\pi\)
0.613271 + 0.789872i \(0.289853\pi\)
\(578\) −1.70103 1.23587i −0.0707535 0.0514054i
\(579\) 10.9857 15.1205i 0.456549 0.628386i
\(580\) −1.99753 + 1.01779i −0.0829429 + 0.0422615i
\(581\) −9.23210 4.70399i −0.383012 0.195154i
\(582\) 0.806595 + 1.11018i 0.0334345 + 0.0460186i
\(583\) 2.08835i 0.0864908i
\(584\) 8.69487 6.31720i 0.359796 0.261407i
\(585\) −3.95459 + 24.9683i −0.163502 + 1.03231i
\(586\) −8.02797 + 1.27151i −0.331632 + 0.0525254i
\(587\) −16.5667 32.5140i −0.683780 1.34199i −0.928111 0.372303i \(-0.878568\pi\)
0.244331 0.969692i \(-0.421432\pi\)
\(588\) 8.97505 + 8.97505i 0.370125 + 0.370125i
\(589\) 1.96761 + 12.4230i 0.0810741 + 0.511882i
\(590\) 4.41594 + 13.5909i 0.181801 + 0.559527i
\(591\) 5.76550 + 0.913166i 0.237161 + 0.0375626i
\(592\) −1.30784 + 4.02511i −0.0537518 + 0.165431i
\(593\) −0.226552 + 0.444634i −0.00930339 + 0.0182589i −0.895611 0.444837i \(-0.853262\pi\)
0.886308 + 0.463096i \(0.153262\pi\)
\(594\) 3.00109 0.975112i 0.123136 0.0400093i
\(595\) −15.2763 + 4.96356i −0.626266 + 0.203486i
\(596\) 0.152714 0.299718i 0.00625541 0.0122769i
\(597\) 1.59897 4.92112i 0.0654414 0.201408i
\(598\) 10.4893 + 1.66135i 0.428941 + 0.0679376i
\(599\) −7.58173 23.3342i −0.309781 0.953409i −0.977850 0.209309i \(-0.932879\pi\)
0.668068 0.744100i \(-0.267121\pi\)
\(600\) 1.78868 + 11.2933i 0.0730224 + 0.461045i
\(601\) 5.35213 + 5.35213i 0.218318 + 0.218318i 0.807789 0.589471i \(-0.200664\pi\)
−0.589471 + 0.807789i \(0.700664\pi\)
\(602\) 1.49454 + 2.93320i 0.0609130 + 0.119548i
\(603\) −7.49725 + 1.18745i −0.305312 + 0.0483566i
\(604\) −5.88848 + 37.1784i −0.239599 + 1.51277i
\(605\) −21.4838 + 15.6089i −0.873440 + 0.634591i
\(606\) 2.72954i 0.110880i
\(607\) 21.2236 + 29.2118i 0.861440 + 1.18567i 0.981224 + 0.192870i \(0.0617796\pi\)
−0.119785 + 0.992800i \(0.538220\pi\)
\(608\) 10.2660 + 5.23077i 0.416340 + 0.212136i
\(609\) −0.600802 + 0.306124i −0.0243457 + 0.0124048i
\(610\) 2.88144 3.96597i 0.116666 0.160577i
\(611\) 8.19604 + 5.95477i 0.331576 + 0.240904i
\(612\) 4.88120 4.88120i 0.197311 0.197311i
\(613\) −30.2951 9.84349i −1.22361 0.397575i −0.375214 0.926938i \(-0.622431\pi\)
−0.848395 + 0.529364i \(0.822431\pi\)
\(614\) 2.13931 0.0863355
\(615\) 2.46085 30.1838i 0.0992312 1.21713i
\(616\) −3.17942 −0.128103
\(617\) 18.2794 + 5.93935i 0.735903 + 0.239109i 0.652904 0.757440i \(-0.273550\pi\)
0.0829983 + 0.996550i \(0.473550\pi\)
\(618\) 4.87059 4.87059i 0.195924 0.195924i
\(619\) −31.0258 22.5415i −1.24703 0.906021i −0.248985 0.968507i \(-0.580097\pi\)
−0.998046 + 0.0624862i \(0.980097\pi\)
\(620\) −14.6028 + 20.0991i −0.586464 + 0.807199i
\(621\) −27.2521 + 13.8856i −1.09359 + 0.557211i
\(622\) −0.897305 0.457200i −0.0359787 0.0183320i
\(623\) −12.4188 17.0930i −0.497547 0.684815i
\(624\) 30.1541i 1.20713i
\(625\) 8.80773 6.39919i 0.352309 0.255968i
\(626\) 0.543845 3.43370i 0.0217364 0.137238i
\(627\) −8.23765 + 1.30472i −0.328980 + 0.0521053i
\(628\) 3.07801 + 6.04093i 0.122826 + 0.241059i
\(629\) 2.76237 + 2.76237i 0.110143 + 0.110143i
\(630\) −0.274831 1.73522i −0.0109495 0.0691327i
\(631\) −11.7225 36.0782i −0.466666 1.43625i −0.856875 0.515525i \(-0.827597\pi\)
0.390208 0.920727i \(-0.372403\pi\)
\(632\) −12.0255 1.90465i −0.478348 0.0757629i
\(633\) 0.581383 1.78931i 0.0231079 0.0711188i
\(634\) 3.80894 7.47546i 0.151272 0.296889i
\(635\) −18.1383 + 5.89349i −0.719796 + 0.233876i
\(636\) −2.82804 + 0.918886i −0.112139 + 0.0364362i
\(637\) −14.1979 + 27.8649i −0.562541 + 1.10405i
\(638\) −0.0585928 + 0.180330i −0.00231971 + 0.00713934i
\(639\) −9.28926 1.47127i −0.367477 0.0582027i
\(640\) 9.29127 + 28.5956i 0.367270 + 1.13034i
\(641\) 4.45397 + 28.1213i 0.175921 + 1.11072i 0.904723 + 0.426000i \(0.140077\pi\)
−0.728802 + 0.684725i \(0.759923\pi\)
\(642\) −2.03569 2.03569i −0.0803423 0.0803423i
\(643\) 14.8198 + 29.0856i 0.584437 + 1.14702i 0.974111 + 0.226070i \(0.0725878\pi\)
−0.389674 + 0.920953i \(0.627412\pi\)
\(644\) 14.8545 2.35272i 0.585348 0.0927100i
\(645\) −5.46762 + 34.5212i −0.215287 + 1.35927i
\(646\) 2.63417 1.91384i 0.103640 0.0752990i
\(647\) 35.7053i 1.40372i −0.712315 0.701860i \(-0.752353\pi\)
0.712315 0.701860i \(-0.247647\pi\)
\(648\) −3.01406 4.14850i −0.118404 0.162969i
\(649\) −21.9440 11.1810i −0.861376 0.438893i
\(650\) −12.2503 + 6.24185i −0.480497 + 0.244826i
\(651\) −4.39213 + 6.04525i −0.172141 + 0.236932i
\(652\) 6.26597 + 4.55250i 0.245394 + 0.178290i
\(653\) 13.7761 13.7761i 0.539102 0.539102i −0.384163 0.923265i \(-0.625510\pi\)
0.923265 + 0.384163i \(0.125510\pi\)
\(654\) 0.510631 + 0.165914i 0.0199672 + 0.00648775i
\(655\) 28.2111 1.10230
\(656\) −1.67009 22.0109i −0.0652061 0.859382i
\(657\) −10.2349 −0.399303
\(658\) −0.669603 0.217567i −0.0261038 0.00848165i
\(659\) 10.7415 10.7415i 0.418431 0.418431i −0.466231 0.884663i \(-0.654389\pi\)
0.884663 + 0.466231i \(0.154389\pi\)
\(660\) −13.3276 9.68308i −0.518777 0.376913i
\(661\) −6.05918 + 8.33975i −0.235675 + 0.324379i −0.910430 0.413663i \(-0.864249\pi\)
0.674755 + 0.738042i \(0.264249\pi\)
\(662\) −4.09048 + 2.08420i −0.158981 + 0.0810048i
\(663\) −24.8000 12.6362i −0.963153 0.490751i
\(664\) 4.99670 + 6.87737i 0.193910 + 0.266894i
\(665\) 16.8859i 0.654806i
\(666\) −0.345682 + 0.251153i −0.0133949 + 0.00973197i
\(667\) 0.287502 1.81522i 0.0111321 0.0702854i
\(668\) −11.7865 + 1.86679i −0.456032 + 0.0722284i
\(669\) 1.09068 + 2.14057i 0.0421680 + 0.0827593i
\(670\) −5.00062 5.00062i −0.193191 0.193191i
\(671\) 1.32165 + 8.34459i 0.0510219 + 0.322139i
\(672\) 2.11520 + 6.50990i 0.0815955 + 0.251125i
\(673\) −22.8825 3.62423i −0.882055 0.139704i −0.301054 0.953607i \(-0.597339\pi\)
−0.581001 + 0.813903i \(0.697339\pi\)
\(674\) 1.07789 3.31739i 0.0415186 0.127781i
\(675\) 17.9764 35.2808i 0.691914 1.35796i
\(676\) 50.9253 16.5466i 1.95866 0.636408i
\(677\) 10.7253 3.48486i 0.412206 0.133934i −0.0955705 0.995423i \(-0.530468\pi\)
0.507777 + 0.861489i \(0.330468\pi\)
\(678\) −1.34037 + 2.63062i −0.0514764 + 0.101028i
\(679\) −1.47963 + 4.55384i −0.0567830 + 0.174760i
\(680\) 13.0159 + 2.06152i 0.499139 + 0.0790558i
\(681\) −0.00973365 0.0299571i −0.000372994 0.00114796i
\(682\) 0.328701 + 2.07533i 0.0125866 + 0.0794687i
\(683\) −6.92268 6.92268i −0.264889 0.264889i 0.562148 0.827037i \(-0.309975\pi\)
−0.827037 + 0.562148i \(0.809975\pi\)
\(684\) −3.29459 6.46599i −0.125972 0.247233i
\(685\) −0.366905 + 0.0581120i −0.0140187 + 0.00222035i
\(686\) 0.827801 5.22653i 0.0316056 0.199550i
\(687\) −26.6745 + 19.3802i −1.01770 + 0.739401i
\(688\) 25.4764i 0.971278i
\(689\) −4.30649 5.92737i −0.164064 0.225815i
\(690\) −6.98197 3.55749i −0.265799 0.135431i
\(691\) −32.0987 + 16.3551i −1.22109 + 0.622178i −0.941199 0.337852i \(-0.890300\pi\)
−0.279895 + 0.960031i \(0.590300\pi\)
\(692\) 5.71091 7.86039i 0.217096 0.298807i
\(693\) 2.44954 + 1.77970i 0.0930505 + 0.0676051i
\(694\) −7.21966 + 7.21966i −0.274055 + 0.274055i
\(695\) −42.8035 13.9077i −1.62363 0.527550i
\(696\) 0.553216 0.0209696
\(697\) −18.8026 7.85023i −0.712198 0.297349i
\(698\) −1.56981 −0.0594180
\(699\) 24.6750 + 8.01739i 0.933294 + 0.303246i
\(700\) −13.7677 + 13.7677i −0.520369 + 0.520369i
\(701\) 41.7632 + 30.3427i 1.57737 + 1.14603i 0.919630 + 0.392787i \(0.128489\pi\)
0.657744 + 0.753242i \(0.271511\pi\)
\(702\) 6.50716 8.95634i 0.245597 0.338035i
\(703\) 3.65923 1.86447i 0.138011 0.0703199i
\(704\) −9.50919 4.84517i −0.358391 0.182609i
\(705\) −4.39374 6.04746i −0.165478 0.227760i
\(706\) 7.83868i 0.295013i
\(707\) 7.70515 5.59812i 0.289782 0.210539i
\(708\) −5.48583 + 34.6361i −0.206170 + 1.30171i
\(709\) 48.3157 7.65246i 1.81453 0.287394i 0.845438 0.534074i \(-0.179340\pi\)
0.969097 + 0.246680i \(0.0793395\pi\)
\(710\) −3.97800 7.80726i −0.149292 0.293001i
\(711\) 8.19874 + 8.19874i 0.307477 + 0.307477i
\(712\) 2.71167 + 17.1208i 0.101624 + 0.641630i
\(713\) −6.29357 19.3696i −0.235696 0.725398i
\(714\) 1.91054 + 0.302600i 0.0715001 + 0.0113245i
\(715\) 12.5430 38.6035i 0.469082 1.44369i
\(716\) 7.79086 15.2904i 0.291158 0.571430i
\(717\) 23.2234 7.54573i 0.867293 0.281801i
\(718\) −0.397264 + 0.129079i −0.0148258 + 0.00481718i
\(719\) 9.42790 18.5033i 0.351601 0.690056i −0.645691 0.763599i \(-0.723430\pi\)
0.997292 + 0.0735426i \(0.0234305\pi\)
\(720\) 4.20139 12.9305i 0.156576 0.481893i
\(721\) 23.7384 + 3.75979i 0.884063 + 0.140022i
\(722\) 0.738126 + 2.27172i 0.0274702 + 0.0845446i
\(723\) 1.22975 + 7.76435i 0.0457350 + 0.288759i
\(724\) 16.0249 + 16.0249i 0.595561 + 0.595561i
\(725\) 1.08017 + 2.11996i 0.0401166 + 0.0787333i
\(726\) 3.15862 0.500277i 0.117227 0.0185670i
\(727\) −2.24680 + 14.1858i −0.0833293 + 0.526121i 0.910348 + 0.413844i \(0.135814\pi\)
−0.993677 + 0.112276i \(0.964186\pi\)
\(728\) −9.02416 + 6.55643i −0.334457 + 0.242998i
\(729\) 27.9989i 1.03700i
\(730\) −5.60480 7.71435i −0.207443 0.285521i
\(731\) 20.9529 + 10.6760i 0.774970 + 0.394867i
\(732\) 10.7187 5.46144i 0.396174 0.201861i
\(733\) 14.2196 19.5717i 0.525214 0.722895i −0.461177 0.887308i \(-0.652573\pi\)
0.986392 + 0.164413i \(0.0525728\pi\)
\(734\) 2.18158 + 1.58501i 0.0805235 + 0.0585038i
\(735\) 16.3166 16.3166i 0.601848 0.601848i
\(736\) −17.7432 5.76512i −0.654024 0.212505i
\(737\) 12.1880 0.448951
\(738\) 1.16977 1.89691i 0.0430600 0.0698264i
\(739\) 0.683852 0.0251559 0.0125780 0.999921i \(-0.495996\pi\)
0.0125780 + 0.999921i \(0.495996\pi\)
\(740\) 7.71484 + 2.50670i 0.283603 + 0.0921482i
\(741\) −20.6904 + 20.6904i −0.760081 + 0.760081i
\(742\) 0.411933 + 0.299287i 0.0151225 + 0.0109872i
\(743\) −17.7873 + 24.4821i −0.652553 + 0.898162i −0.999206 0.0398315i \(-0.987318\pi\)
0.346654 + 0.937993i \(0.387318\pi\)
\(744\) 5.46238 2.78322i 0.200261 0.102038i
\(745\) −0.544888 0.277634i −0.0199631 0.0101717i
\(746\) −2.91699 4.01489i −0.106799 0.146996i
\(747\) 8.09550i 0.296199i
\(748\) −8.96705 + 6.51494i −0.327868 + 0.238210i
\(749\) 1.57142 9.92158i 0.0574186 0.362527i
\(750\) 2.87558 0.455447i 0.105001 0.0166306i
\(751\) 8.69372 + 17.0624i 0.317238 + 0.622615i 0.993473 0.114072i \(-0.0363893\pi\)
−0.676234 + 0.736687i \(0.736389\pi\)
\(752\) −3.85277 3.85277i −0.140496 0.140496i
\(753\) −5.29938 33.4590i −0.193120 1.21931i
\(754\) 0.205563 + 0.632658i 0.00748616 + 0.0230400i
\(755\) 67.5904 + 10.7053i 2.45986 + 0.389604i
\(756\) 4.84467 14.9104i 0.176199 0.542284i
\(757\) 16.5655 32.5117i 0.602085 1.18166i −0.365901 0.930654i \(-0.619239\pi\)
0.967986 0.251005i \(-0.0807609\pi\)
\(758\) −3.30848 + 1.07499i −0.120169 + 0.0390454i
\(759\) 12.8439 4.17324i 0.466204 0.151479i
\(760\) 6.28949 12.3438i 0.228144 0.447757i
\(761\) −5.94946 + 18.3106i −0.215668 + 0.663758i 0.783438 + 0.621470i \(0.213464\pi\)
−0.999106 + 0.0422871i \(0.986536\pi\)
\(762\) 2.26848 + 0.359292i 0.0821783 + 0.0130158i
\(763\) 0.578918 + 1.78173i 0.0209582 + 0.0645028i
\(764\) −5.25735