Properties

Label 177.2.e.a.16.5
Level $177$
Weight $2$
Character 177.16
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 177.16
Dual form 177.2.e.a.166.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.98298 + 0.436487i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(1.92655 + 0.891316i) q^{4} +(-0.867769 - 3.12542i) q^{5} +(0.109927 - 2.02748i) q^{6} +(2.78359 + 2.63676i) q^{7} +(0.198401 + 0.150821i) q^{8} +(-0.947653 + 0.319302i) q^{9} +O(q^{10})\) \(q+(1.98298 + 0.436487i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(1.92655 + 0.891316i) q^{4} +(-0.867769 - 3.12542i) q^{5} +(0.109927 - 2.02748i) q^{6} +(2.78359 + 2.63676i) q^{7} +(0.198401 + 0.150821i) q^{8} +(-0.947653 + 0.319302i) q^{9} +(-0.356563 - 6.57642i) q^{10} +(-3.60006 + 4.23831i) q^{11} +(0.567893 - 2.04537i) q^{12} +(2.21163 + 0.745186i) q^{13} +(4.36890 + 6.44364i) q^{14} +(-2.94386 + 1.36197i) q^{15} +(-2.42087 - 2.85007i) q^{16} +(2.52133 - 2.38833i) q^{17} +(-2.01855 + 0.219531i) q^{18} +(-2.59009 + 6.50063i) q^{19} +(1.11394 - 6.79473i) q^{20} +(2.15169 - 3.17350i) q^{21} +(-8.98882 + 6.83312i) q^{22} +(3.27871 + 0.356581i) q^{23} +(0.116736 - 0.220188i) q^{24} +(-4.73094 + 2.84651i) q^{25} +(4.06037 + 2.44304i) q^{26} +(0.468408 + 0.883512i) q^{27} +(3.01253 + 7.56089i) q^{28} +(-8.40855 + 1.85086i) q^{29} +(-6.43210 + 1.41581i) q^{30} +(-2.83848 - 7.12406i) q^{31} +(-3.79000 - 7.14869i) q^{32} +(4.76490 + 2.86695i) q^{33} +(6.04222 - 3.63548i) q^{34} +(5.82546 - 10.9880i) q^{35} +(-2.11030 - 0.229509i) q^{36} +(5.49971 - 4.18077i) q^{37} +(-7.97355 + 11.7601i) q^{38} +(0.377567 - 2.30306i) q^{39} +(0.299212 - 0.750966i) q^{40} +(-0.825332 + 0.0897603i) q^{41} +(5.65195 - 5.35381i) q^{42} +(-0.211125 - 0.248556i) q^{43} +(-10.7134 + 4.95652i) q^{44} +(1.82030 + 2.68473i) q^{45} +(6.34598 + 2.13821i) q^{46} +(1.20289 - 4.33242i) q^{47} +(-2.42087 + 2.85007i) q^{48} +(0.416916 + 7.68956i) q^{49} +(-10.6238 + 3.57959i) q^{50} +(-2.76477 - 2.10172i) q^{51} +(3.59662 + 3.40690i) q^{52} +(0.181495 - 3.34749i) q^{53} +(0.543204 + 1.95644i) q^{54} +(16.3705 + 7.57381i) q^{55} +(0.154590 + 0.942960i) q^{56} +(6.83403 + 1.50428i) q^{57} -17.4819 q^{58} +(7.48102 + 1.74194i) q^{59} -6.88543 q^{60} +(0.100386 + 0.0220966i) q^{61} +(-2.51910 - 15.3658i) q^{62} +(-3.47980 - 1.60993i) q^{63} +(-2.39436 - 8.62372i) q^{64} +(0.409833 - 7.55893i) q^{65} +(8.19733 + 7.76493i) q^{66} +(-3.91095 - 2.97302i) q^{67} +(6.98621 - 2.35393i) q^{68} +(-0.178553 - 3.29321i) q^{69} +(16.3479 - 19.2462i) q^{70} +(0.473245 - 1.70447i) q^{71} +(-0.236173 - 0.0795760i) q^{72} +(2.08391 + 3.07354i) q^{73} +(12.7307 - 5.88984i) q^{74} +(3.57440 + 4.20811i) q^{75} +(-10.7840 + 10.2152i) q^{76} +(-21.1965 + 2.30526i) q^{77} +(1.75396 - 4.40212i) q^{78} +(-1.60121 + 9.76695i) q^{79} +(-6.80691 + 10.0394i) q^{80} +(0.796093 - 0.605174i) q^{81} +(-1.67580 - 0.182254i) q^{82} +(-2.53120 + 4.77436i) q^{83} +(6.97391 - 4.19607i) q^{84} +(-9.65245 - 5.80769i) q^{85} +(-0.310166 - 0.585036i) q^{86} +(3.18683 + 7.99834i) q^{87} +(-1.35348 + 0.297924i) q^{88} +(1.38489 - 0.304838i) q^{89} +(2.43776 + 6.11832i) q^{90} +(4.19141 + 7.90583i) q^{91} +(5.99877 + 3.60934i) q^{92} +(-6.57099 + 3.95363i) q^{93} +(4.27636 - 8.06607i) q^{94} +(22.5648 + 2.45407i) q^{95} +(-6.44137 + 4.89660i) q^{96} +(-3.35297 + 4.94526i) q^{97} +(-2.52966 + 15.4302i) q^{98} +(2.05830 - 5.16595i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{2}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.98298 + 0.436487i 1.40218 + 0.308643i 0.850747 0.525576i \(-0.176150\pi\)
0.551433 + 0.834219i \(0.314081\pi\)
\(3\) −0.161782 0.986827i −0.0934049 0.569745i
\(4\) 1.92655 + 0.891316i 0.963274 + 0.445658i
\(5\) −0.867769 3.12542i −0.388078 1.39773i −0.857376 0.514691i \(-0.827907\pi\)
0.469298 0.883040i \(-0.344507\pi\)
\(6\) 0.109927 2.02748i 0.0448773 0.827713i
\(7\) 2.78359 + 2.63676i 1.05210 + 0.996600i 0.999998 0.00204172i \(-0.000649902\pi\)
0.0521001 + 0.998642i \(0.483409\pi\)
\(8\) 0.198401 + 0.150821i 0.0701455 + 0.0533232i
\(9\) −0.947653 + 0.319302i −0.315884 + 0.106434i
\(10\) −0.356563 6.57642i −0.112755 2.07965i
\(11\) −3.60006 + 4.23831i −1.08546 + 1.27790i −0.127236 + 0.991872i \(0.540611\pi\)
−0.958222 + 0.286027i \(0.907665\pi\)
\(12\) 0.567893 2.04537i 0.163937 0.590446i
\(13\) 2.21163 + 0.745186i 0.613397 + 0.206677i 0.608815 0.793312i \(-0.291645\pi\)
0.00458157 + 0.999990i \(0.498542\pi\)
\(14\) 4.36890 + 6.44364i 1.16764 + 1.72214i
\(15\) −2.94386 + 1.36197i −0.760101 + 0.351660i
\(16\) −2.42087 2.85007i −0.605218 0.712517i
\(17\) 2.52133 2.38833i 0.611511 0.579254i −0.317980 0.948097i \(-0.603005\pi\)
0.929492 + 0.368843i \(0.120246\pi\)
\(18\) −2.01855 + 0.219531i −0.475777 + 0.0517439i
\(19\) −2.59009 + 6.50063i −0.594207 + 1.49135i 0.256944 + 0.966426i \(0.417285\pi\)
−0.851151 + 0.524921i \(0.824095\pi\)
\(20\) 1.11394 6.79473i 0.249084 1.51935i
\(21\) 2.15169 3.17350i 0.469536 0.692514i
\(22\) −8.98882 + 6.83312i −1.91642 + 1.45683i
\(23\) 3.27871 + 0.356581i 0.683659 + 0.0743524i 0.443356 0.896346i \(-0.353788\pi\)
0.240303 + 0.970698i \(0.422753\pi\)
\(24\) 0.116736 0.220188i 0.0238287 0.0449457i
\(25\) −4.73094 + 2.84651i −0.946189 + 0.569303i
\(26\) 4.06037 + 2.44304i 0.796303 + 0.479120i
\(27\) 0.468408 + 0.883512i 0.0901452 + 0.170032i
\(28\) 3.01253 + 7.56089i 0.569316 + 1.42887i
\(29\) −8.40855 + 1.85086i −1.56143 + 0.343696i −0.909867 0.414900i \(-0.863816\pi\)
−0.651561 + 0.758596i \(0.725885\pi\)
\(30\) −6.43210 + 1.41581i −1.17434 + 0.258491i
\(31\) −2.83848 7.12406i −0.509807 1.27952i −0.928480 0.371382i \(-0.878884\pi\)
0.418674 0.908137i \(-0.362495\pi\)
\(32\) −3.79000 7.14869i −0.669983 1.26372i
\(33\) 4.76490 + 2.86695i 0.829463 + 0.499072i
\(34\) 6.04222 3.63548i 1.03623 0.623480i
\(35\) 5.82546 10.9880i 0.984682 1.85731i
\(36\) −2.11030 0.229509i −0.351716 0.0382514i
\(37\) 5.49971 4.18077i 0.904146 0.687314i −0.0460591 0.998939i \(-0.514666\pi\)
0.950205 + 0.311625i \(0.100873\pi\)
\(38\) −7.97355 + 11.7601i −1.29348 + 1.90774i
\(39\) 0.377567 2.30306i 0.0604591 0.368784i
\(40\) 0.299212 0.750966i 0.0473096 0.118738i
\(41\) −0.825332 + 0.0897603i −0.128895 + 0.0140182i −0.172339 0.985038i \(-0.555133\pi\)
0.0434440 + 0.999056i \(0.486167\pi\)
\(42\) 5.65195 5.35381i 0.872115 0.826111i
\(43\) −0.211125 0.248556i −0.0321963 0.0379045i 0.745828 0.666138i \(-0.232054\pi\)
−0.778025 + 0.628234i \(0.783778\pi\)
\(44\) −10.7134 + 4.95652i −1.61510 + 0.747224i
\(45\) 1.82030 + 2.68473i 0.271354 + 0.400217i
\(46\) 6.34598 + 2.13821i 0.935664 + 0.315262i
\(47\) 1.20289 4.33242i 0.175460 0.631948i −0.822539 0.568709i \(-0.807443\pi\)
0.997998 0.0632394i \(-0.0201432\pi\)
\(48\) −2.42087 + 2.85007i −0.349423 + 0.411372i
\(49\) 0.416916 + 7.68956i 0.0595594 + 1.09851i
\(50\) −10.6238 + 3.57959i −1.50244 + 0.506231i
\(51\) −2.76477 2.10172i −0.387145 0.294300i
\(52\) 3.59662 + 3.40690i 0.498761 + 0.472452i
\(53\) 0.181495 3.34749i 0.0249303 0.459812i −0.959241 0.282591i \(-0.908806\pi\)
0.984171 0.177222i \(-0.0567110\pi\)
\(54\) 0.543204 + 1.95644i 0.0739207 + 0.266238i
\(55\) 16.3705 + 7.57381i 2.20740 + 1.02125i
\(56\) 0.154590 + 0.942960i 0.0206580 + 0.126008i
\(57\) 6.83403 + 1.50428i 0.905189 + 0.199247i
\(58\) −17.4819 −2.29548
\(59\) 7.48102 + 1.74194i 0.973946 + 0.226782i
\(60\) −6.88543 −0.888905
\(61\) 0.100386 + 0.0220966i 0.0128531 + 0.00282918i 0.221392 0.975185i \(-0.428940\pi\)
−0.208539 + 0.978014i \(0.566871\pi\)
\(62\) −2.51910 15.3658i −0.319926 1.95146i
\(63\) −3.47980 1.60993i −0.438413 0.202832i
\(64\) −2.39436 8.62372i −0.299295 1.07796i
\(65\) 0.409833 7.55893i 0.0508336 0.937570i
\(66\) 8.19733 + 7.76493i 1.00902 + 0.955797i
\(67\) −3.91095 2.97302i −0.477798 0.363213i 0.338383 0.941008i \(-0.390120\pi\)
−0.816182 + 0.577796i \(0.803913\pi\)
\(68\) 6.98621 2.35393i 0.847202 0.285456i
\(69\) −0.178553 3.29321i −0.0214952 0.396456i
\(70\) 16.3479 19.2462i 1.95395 2.30037i
\(71\) 0.473245 1.70447i 0.0561638 0.202284i −0.930145 0.367192i \(-0.880319\pi\)
0.986309 + 0.164909i \(0.0527329\pi\)
\(72\) −0.236173 0.0795760i −0.0278333 0.00937812i
\(73\) 2.08391 + 3.07354i 0.243903 + 0.359730i 0.929861 0.367911i \(-0.119927\pi\)
−0.685958 + 0.727641i \(0.740617\pi\)
\(74\) 12.7307 5.88984i 1.47991 0.684680i
\(75\) 3.57440 + 4.20811i 0.412736 + 0.485910i
\(76\) −10.7840 + 10.2152i −1.23701 + 1.17176i
\(77\) −21.1965 + 2.30526i −2.41556 + 0.262708i
\(78\) 1.75396 4.40212i 0.198597 0.498442i
\(79\) −1.60121 + 9.76695i −0.180150 + 1.09887i 0.729650 + 0.683821i \(0.239683\pi\)
−0.909800 + 0.415047i \(0.863765\pi\)
\(80\) −6.80691 + 10.0394i −0.761036 + 1.12244i
\(81\) 0.796093 0.605174i 0.0884548 0.0672416i
\(82\) −1.67580 0.182254i −0.185061 0.0201266i
\(83\) −2.53120 + 4.77436i −0.277836 + 0.524054i −0.982681 0.185308i \(-0.940672\pi\)
0.704845 + 0.709362i \(0.251017\pi\)
\(84\) 6.97391 4.19607i 0.760916 0.457828i
\(85\) −9.65245 5.80769i −1.04696 0.629932i
\(86\) −0.310166 0.585036i −0.0334461 0.0630861i
\(87\) 3.18683 + 7.99834i 0.341664 + 0.857512i
\(88\) −1.35348 + 0.297924i −0.144282 + 0.0317588i
\(89\) 1.38489 0.304838i 0.146798 0.0323127i −0.140963 0.990015i \(-0.545020\pi\)
0.287762 + 0.957702i \(0.407089\pi\)
\(90\) 2.43776 + 6.11832i 0.256963 + 0.644927i
\(91\) 4.19141 + 7.90583i 0.439379 + 0.828756i
\(92\) 5.99877 + 3.60934i 0.625415 + 0.376299i
\(93\) −6.57099 + 3.95363i −0.681380 + 0.409973i
\(94\) 4.27636 8.06607i 0.441073 0.831951i
\(95\) 22.5648 + 2.45407i 2.31510 + 0.251782i
\(96\) −6.44137 + 4.89660i −0.657419 + 0.499757i
\(97\) −3.35297 + 4.94526i −0.340442 + 0.502115i −0.958916 0.283691i \(-0.908441\pi\)
0.618474 + 0.785806i \(0.287751\pi\)
\(98\) −2.52966 + 15.4302i −0.255534 + 1.55869i
\(99\) 2.05830 5.16595i 0.206867 0.519198i
\(100\) −11.6515 + 1.26718i −1.16515 + 0.126718i
\(101\) 6.10348 5.78153i 0.607319 0.575283i −0.320995 0.947081i \(-0.604017\pi\)
0.928314 + 0.371798i \(0.121259\pi\)
\(102\) −4.56511 5.37447i −0.452014 0.532152i
\(103\) 5.14504 2.38035i 0.506956 0.234543i −0.149702 0.988731i \(-0.547832\pi\)
0.656658 + 0.754188i \(0.271970\pi\)
\(104\) 0.326402 + 0.481407i 0.0320063 + 0.0472058i
\(105\) −11.7857 3.97106i −1.15017 0.387536i
\(106\) 1.82104 6.55878i 0.176875 0.637045i
\(107\) −3.24835 + 3.82425i −0.314030 + 0.369705i −0.896421 0.443204i \(-0.853842\pi\)
0.582391 + 0.812909i \(0.302117\pi\)
\(108\) 0.114923 + 2.11963i 0.0110585 + 0.203961i
\(109\) −9.46716 + 3.18986i −0.906789 + 0.305533i −0.733780 0.679387i \(-0.762246\pi\)
−0.173010 + 0.984920i \(0.555349\pi\)
\(110\) 29.1566 + 22.1643i 2.77997 + 2.11328i
\(111\) −5.01545 4.75088i −0.476045 0.450934i
\(112\) 0.776227 14.3167i 0.0733466 1.35280i
\(113\) −1.71340 6.17110i −0.161183 0.580529i −0.999382 0.0351635i \(-0.988805\pi\)
0.838199 0.545365i \(-0.183609\pi\)
\(114\) 12.8952 + 5.96593i 1.20774 + 0.558761i
\(115\) −1.73070 10.5568i −0.161388 0.984425i
\(116\) −17.8492 3.92890i −1.65725 0.364789i
\(117\) −2.33380 −0.215760
\(118\) 14.0744 + 6.71961i 1.29565 + 0.618590i
\(119\) 13.3158 1.22065
\(120\) −0.789480 0.173778i −0.0720693 0.0158637i
\(121\) −3.22330 19.6612i −0.293027 1.78739i
\(122\) 0.189418 + 0.0876343i 0.0171491 + 0.00793404i
\(123\) 0.222102 + 0.799938i 0.0200262 + 0.0721280i
\(124\) 0.881310 16.2548i 0.0791440 1.45973i
\(125\) 1.22754 + 1.16278i 0.109794 + 0.104003i
\(126\) −6.19767 4.71134i −0.552132 0.419720i
\(127\) 18.3148 6.17099i 1.62518 0.547587i 0.648302 0.761384i \(-0.275480\pi\)
0.976878 + 0.213797i \(0.0685831\pi\)
\(128\) −0.107736 1.98708i −0.00952263 0.175635i
\(129\) −0.211125 + 0.248556i −0.0185886 + 0.0218841i
\(130\) 4.11207 14.8103i 0.360653 1.29895i
\(131\) 1.27997 + 0.431272i 0.111831 + 0.0376804i 0.374661 0.927162i \(-0.377759\pi\)
−0.262829 + 0.964842i \(0.584656\pi\)
\(132\) 6.62446 + 9.77034i 0.576585 + 0.850399i
\(133\) −24.3503 + 11.2657i −2.11144 + 0.976857i
\(134\) −6.45765 7.60254i −0.557856 0.656759i
\(135\) 2.35488 2.23066i 0.202675 0.191984i
\(136\) 0.860444 0.0935790i 0.0737825 0.00802433i
\(137\) 4.71166 11.8254i 0.402544 1.01031i −0.578353 0.815786i \(-0.696304\pi\)
0.980898 0.194524i \(-0.0623162\pi\)
\(138\) 1.08338 6.60831i 0.0922232 0.562537i
\(139\) 4.49953 6.63631i 0.381645 0.562884i −0.587547 0.809190i \(-0.699906\pi\)
0.969192 + 0.246306i \(0.0792167\pi\)
\(140\) 21.0168 15.9765i 1.77624 1.35026i
\(141\) −4.46995 0.486137i −0.376438 0.0409401i
\(142\) 1.68242 3.17338i 0.141185 0.266304i
\(143\) −11.1203 + 6.69088i −0.929929 + 0.559520i
\(144\) 3.20418 + 1.92789i 0.267015 + 0.160657i
\(145\) 13.0814 + 24.6741i 1.08635 + 2.04907i
\(146\) 2.79080 + 7.00437i 0.230968 + 0.579686i
\(147\) 7.52081 1.65546i 0.620306 0.136540i
\(148\) 14.3218 3.15247i 1.17725 0.259132i
\(149\) 4.50293 + 11.3015i 0.368894 + 0.925855i 0.989864 + 0.142020i \(0.0453597\pi\)
−0.620970 + 0.783835i \(0.713261\pi\)
\(150\) 5.25118 + 9.90478i 0.428757 + 0.808722i
\(151\) −12.2687 7.38180i −0.998409 0.600723i −0.0801832 0.996780i \(-0.525551\pi\)
−0.918226 + 0.396057i \(0.870378\pi\)
\(152\) −1.49431 + 0.899096i −0.121204 + 0.0729263i
\(153\) −1.62675 + 3.06837i −0.131515 + 0.248063i
\(154\) −43.0385 4.68071i −3.46814 0.377183i
\(155\) −19.8025 + 15.0535i −1.59058 + 1.20913i
\(156\) 2.78015 4.10042i 0.222590 0.328296i
\(157\) −0.679943 + 4.14747i −0.0542654 + 0.331004i 0.945717 + 0.324993i \(0.105362\pi\)
−0.999982 + 0.00601153i \(0.998086\pi\)
\(158\) −7.43832 + 18.6688i −0.591761 + 1.48521i
\(159\) −3.33275 + 0.362458i −0.264304 + 0.0287448i
\(160\) −19.0538 + 18.0487i −1.50634 + 1.42688i
\(161\) 8.18637 + 9.63774i 0.645176 + 0.759560i
\(162\) 1.84279 0.852565i 0.144783 0.0669838i
\(163\) −5.65158 8.33545i −0.442666 0.652883i 0.539262 0.842138i \(-0.318703\pi\)
−0.981928 + 0.189255i \(0.939393\pi\)
\(164\) −1.67005 0.562704i −0.130409 0.0439398i
\(165\) 4.82558 17.3802i 0.375671 1.35304i
\(166\) −7.10328 + 8.36263i −0.551322 + 0.649066i
\(167\) 0.637838 + 11.7642i 0.0493574 + 0.910344i 0.913435 + 0.406985i \(0.133420\pi\)
−0.864077 + 0.503359i \(0.832097\pi\)
\(168\) 0.905528 0.305108i 0.0698630 0.0235396i
\(169\) −6.01319 4.57111i −0.462553 0.351624i
\(170\) −16.6057 15.7297i −1.27360 1.20641i
\(171\) 0.378844 6.98737i 0.0289709 0.534337i
\(172\) −0.185201 0.667035i −0.0141215 0.0508609i
\(173\) −0.662309 0.306417i −0.0503545 0.0232965i 0.394550 0.918874i \(-0.370900\pi\)
−0.444905 + 0.895578i \(0.646762\pi\)
\(174\) 2.82825 + 17.2516i 0.214409 + 1.30784i
\(175\) −20.6746 4.55082i −1.56285 0.344009i
\(176\) 20.7948 1.56746
\(177\) 0.508701 7.66428i 0.0382363 0.576083i
\(178\) 2.87927 0.215811
\(179\) −23.3073 5.13031i −1.74207 0.383458i −0.773810 0.633418i \(-0.781651\pi\)
−0.968256 + 0.249961i \(0.919582\pi\)
\(180\) 1.11394 + 6.79473i 0.0830281 + 0.506449i
\(181\) −4.91719 2.27493i −0.365492 0.169095i 0.228543 0.973534i \(-0.426604\pi\)
−0.594035 + 0.804439i \(0.702466\pi\)
\(182\) 4.86069 + 17.5066i 0.360298 + 1.29768i
\(183\) 0.00556488 0.102638i 0.000411368 0.00758724i
\(184\) 0.596721 + 0.565244i 0.0439909 + 0.0416704i
\(185\) −17.8391 13.5610i −1.31156 0.997021i
\(186\) −14.7559 + 4.97183i −1.08195 + 0.364552i
\(187\) 1.04556 + 19.2843i 0.0764592 + 1.41021i
\(188\) 6.17898 7.27446i 0.450648 0.530544i
\(189\) −1.02575 + 3.69441i −0.0746123 + 0.268729i
\(190\) 43.6745 + 14.7156i 3.16848 + 1.06758i
\(191\) 14.4242 + 21.2741i 1.04370 + 1.53934i 0.826281 + 0.563258i \(0.190452\pi\)
0.217416 + 0.976079i \(0.430237\pi\)
\(192\) −8.12275 + 3.75798i −0.586209 + 0.271209i
\(193\) 7.05826 + 8.30963i 0.508065 + 0.598140i 0.955066 0.296393i \(-0.0957838\pi\)
−0.447001 + 0.894533i \(0.647508\pi\)
\(194\) −8.80742 + 8.34283i −0.632336 + 0.598980i
\(195\) −7.52566 + 0.818465i −0.538924 + 0.0586115i
\(196\) −6.05062 + 15.1859i −0.432187 + 1.08471i
\(197\) −2.48891 + 15.1817i −0.177327 + 1.08165i 0.736767 + 0.676146i \(0.236351\pi\)
−0.914094 + 0.405501i \(0.867097\pi\)
\(198\) 6.33646 9.34557i 0.450312 0.664161i
\(199\) 14.3443 10.9042i 1.01684 0.772981i 0.0427362 0.999086i \(-0.486393\pi\)
0.974103 + 0.226105i \(0.0725994\pi\)
\(200\) −1.36794 0.148772i −0.0967280 0.0105198i
\(201\) −2.30114 + 4.34041i −0.162310 + 0.306149i
\(202\) 14.6267 8.80057i 1.02913 0.619206i
\(203\) −28.2862 17.0192i −1.98530 1.19452i
\(204\) −3.45316 6.51335i −0.241770 0.456026i
\(205\) 0.996736 + 2.50162i 0.0696151 + 0.174721i
\(206\) 11.2415 2.47444i 0.783233 0.172403i
\(207\) −3.22094 + 0.708982i −0.223871 + 0.0492777i
\(208\) −3.23025 8.10731i −0.223977 0.562141i
\(209\) −18.2273 34.3803i −1.26081 2.37813i
\(210\) −21.6375 13.0188i −1.49313 0.898386i
\(211\) −8.29769 + 4.99255i −0.571237 + 0.343702i −0.771687 0.636002i \(-0.780587\pi\)
0.200451 + 0.979704i \(0.435759\pi\)
\(212\) 3.33333 6.28732i 0.228934 0.431815i
\(213\) −1.75858 0.191257i −0.120496 0.0131047i
\(214\) −8.11066 + 6.16557i −0.554433 + 0.421469i
\(215\) −0.593634 + 0.875545i −0.0404855 + 0.0597117i
\(216\) −0.0403191 + 0.245936i −0.00274337 + 0.0167338i
\(217\) 10.8832 27.3148i 0.738802 1.85425i
\(218\) −20.1655 + 2.19314i −1.36578 + 0.148538i
\(219\) 2.69591 2.55370i 0.182173 0.172563i
\(220\) 24.7879 + 29.1826i 1.67120 + 1.96749i
\(221\) 7.35600 3.40325i 0.494818 0.228927i
\(222\) −7.87184 11.6101i −0.528323 0.779219i
\(223\) 10.6064 + 3.57371i 0.710257 + 0.239313i 0.651162 0.758939i \(-0.274282\pi\)
0.0590951 + 0.998252i \(0.481178\pi\)
\(224\) 8.29956 29.8923i 0.554538 1.99727i
\(225\) 3.57440 4.20811i 0.238293 0.280540i
\(226\) −0.704030 12.9851i −0.0468314 0.863754i
\(227\) −7.05062 + 2.37563i −0.467966 + 0.157676i −0.543399 0.839475i \(-0.682863\pi\)
0.0754325 + 0.997151i \(0.475966\pi\)
\(228\) 11.8253 + 8.98935i 0.783149 + 0.595334i
\(229\) 4.68634 + 4.43914i 0.309682 + 0.293347i 0.826717 0.562618i \(-0.190206\pi\)
−0.517035 + 0.855964i \(0.672964\pi\)
\(230\) 1.17596 21.6893i 0.0775406 1.43015i
\(231\) 5.70410 + 20.5443i 0.375302 + 1.35172i
\(232\) −1.94742 0.900971i −0.127854 0.0591516i
\(233\) 1.14326 + 6.97359i 0.0748976 + 0.456855i 0.997474 + 0.0710394i \(0.0226316\pi\)
−0.922576 + 0.385816i \(0.873920\pi\)
\(234\) −4.62789 1.01867i −0.302534 0.0665928i
\(235\) −14.5845 −0.951386
\(236\) 12.8599 + 10.0239i 0.837109 + 0.652499i
\(237\) 9.89733 0.642901
\(238\) 26.4049 + 5.81217i 1.71158 + 0.376747i
\(239\) 2.32505 + 14.1822i 0.150395 + 0.917370i 0.948945 + 0.315441i \(0.102153\pi\)
−0.798550 + 0.601929i \(0.794399\pi\)
\(240\) 11.0084 + 5.09304i 0.710591 + 0.328754i
\(241\) 1.97821 + 7.12486i 0.127428 + 0.458953i 0.999539 0.0303544i \(-0.00966358\pi\)
−0.872112 + 0.489307i \(0.837250\pi\)
\(242\) 2.19014 40.3948i 0.140788 2.59668i
\(243\) −0.725995 0.687699i −0.0465726 0.0441159i
\(244\) 0.173703 + 0.132046i 0.0111202 + 0.00845335i
\(245\) 23.6713 7.97580i 1.51231 0.509555i
\(246\) 0.0912609 + 1.68321i 0.00581858 + 0.107317i
\(247\) −10.5725 + 12.4469i −0.672713 + 0.791979i
\(248\) 0.511297 1.84153i 0.0324674 0.116937i
\(249\) 5.12097 + 1.72545i 0.324528 + 0.109346i
\(250\) 1.92664 + 2.84159i 0.121852 + 0.179718i
\(251\) 15.7875 7.30409i 0.996500 0.461030i 0.147294 0.989093i \(-0.452944\pi\)
0.849205 + 0.528063i \(0.177081\pi\)
\(252\) −5.26904 6.20320i −0.331918 0.390765i
\(253\) −13.3148 + 12.6125i −0.837097 + 0.792941i
\(254\) 39.0116 4.24276i 2.44780 0.266215i
\(255\) −4.16959 + 10.4649i −0.261110 + 0.655336i
\(256\) −2.24218 + 13.6767i −0.140137 + 0.854795i
\(257\) −4.32112 + 6.37317i −0.269544 + 0.397548i −0.938238 0.345990i \(-0.887543\pi\)
0.668694 + 0.743538i \(0.266854\pi\)
\(258\) −0.527150 + 0.400729i −0.0328189 + 0.0249483i
\(259\) 26.3326 + 2.86384i 1.63623 + 0.177950i
\(260\) 7.52696 14.1974i 0.466802 0.880482i
\(261\) 7.37740 4.43884i 0.456650 0.274757i
\(262\) 2.34991 + 1.41390i 0.145178 + 0.0873507i
\(263\) 3.78688 + 7.14281i 0.233509 + 0.440445i 0.972380 0.233402i \(-0.0749858\pi\)
−0.738871 + 0.673846i \(0.764641\pi\)
\(264\) 0.512968 + 1.28745i 0.0315710 + 0.0792373i
\(265\) −10.6198 + 2.33759i −0.652369 + 0.143597i
\(266\) −53.2036 + 11.7110i −3.26212 + 0.718047i
\(267\) −0.524872 1.31733i −0.0321217 0.0806193i
\(268\) −4.88472 9.21356i −0.298382 0.562808i
\(269\) −15.4892 9.31951i −0.944390 0.568221i −0.0419894 0.999118i \(-0.513370\pi\)
−0.902401 + 0.430897i \(0.858197\pi\)
\(270\) 5.64333 3.39548i 0.343442 0.206642i
\(271\) −1.74149 + 3.28479i −0.105788 + 0.199537i −0.930755 0.365644i \(-0.880849\pi\)
0.824967 + 0.565181i \(0.191194\pi\)
\(272\) −12.9107 1.40412i −0.782826 0.0851375i
\(273\) 7.12359 5.41521i 0.431139 0.327744i
\(274\) 14.5048 21.3929i 0.876265 1.29239i
\(275\) 4.96724 30.2988i 0.299536 1.82709i
\(276\) 2.59130 6.50367i 0.155978 0.391475i
\(277\) 15.6764 1.70492i 0.941906 0.102438i 0.375736 0.926727i \(-0.377390\pi\)
0.566170 + 0.824288i \(0.308424\pi\)
\(278\) 11.8191 11.1957i 0.708865 0.671473i
\(279\) 4.96462 + 5.84480i 0.297224 + 0.349919i
\(280\) 2.81300 1.30143i 0.168109 0.0777754i
\(281\) 14.1540 + 20.8756i 0.844356 + 1.24533i 0.967482 + 0.252941i \(0.0813979\pi\)
−0.123125 + 0.992391i \(0.539292\pi\)
\(282\) −8.65165 2.91508i −0.515198 0.173590i
\(283\) 3.66411 13.1969i 0.217809 0.784476i −0.771197 0.636597i \(-0.780342\pi\)
0.989005 0.147879i \(-0.0472447\pi\)
\(284\) 2.43095 2.86194i 0.144250 0.169825i
\(285\) −1.22884 22.6646i −0.0727901 1.34253i
\(286\) −24.9719 + 8.41402i −1.47662 + 0.497531i
\(287\) −2.53406 1.92634i −0.149581 0.113709i
\(288\) 5.87419 + 5.56433i 0.346140 + 0.327881i
\(289\) −0.267382 + 4.93157i −0.0157283 + 0.290092i
\(290\) 15.1702 + 54.6382i 0.890826 + 3.20847i
\(291\) 5.42256 + 2.50874i 0.317876 + 0.147065i
\(292\) 1.27526 + 7.77874i 0.0746289 + 0.455216i
\(293\) 20.2785 + 4.46364i 1.18468 + 0.260769i 0.763258 0.646094i \(-0.223599\pi\)
0.421426 + 0.906863i \(0.361530\pi\)
\(294\) 15.6362 0.911923
\(295\) −1.04749 24.8929i −0.0609874 1.44932i
\(296\) 1.72170 0.100072
\(297\) −5.43090 1.19543i −0.315133 0.0693659i
\(298\) 3.99626 + 24.3761i 0.231497 + 1.41207i
\(299\) 6.98559 + 3.23188i 0.403987 + 0.186904i
\(300\) 3.13549 + 11.2930i 0.181028 + 0.652003i
\(301\) 0.0676952 1.24856i 0.00390189 0.0719661i
\(302\) −21.1065 19.9931i −1.21454 1.15047i
\(303\) −6.69280 5.08773i −0.384491 0.292283i
\(304\) 24.7975 8.35526i 1.42224 0.479207i
\(305\) −0.0180505 0.332923i −0.00103357 0.0190631i
\(306\) −4.56511 + 5.37447i −0.260970 + 0.307238i
\(307\) 1.07114 3.85789i 0.0611331 0.220182i −0.926674 0.375867i \(-0.877345\pi\)
0.987807 + 0.155686i \(0.0497587\pi\)
\(308\) −42.8907 14.4516i −2.44393 0.823454i
\(309\) −3.18136 4.69216i −0.180981 0.266928i
\(310\) −45.8387 + 21.2072i −2.60346 + 1.20449i
\(311\) 3.50287 + 4.12390i 0.198630 + 0.233845i 0.852455 0.522801i \(-0.175113\pi\)
−0.653825 + 0.756645i \(0.726837\pi\)
\(312\) 0.422259 0.399985i 0.0239057 0.0226447i
\(313\) 14.8663 1.61681i 0.840294 0.0913875i 0.322158 0.946686i \(-0.395592\pi\)
0.518136 + 0.855298i \(0.326626\pi\)
\(314\) −3.15863 + 7.92757i −0.178252 + 0.447379i
\(315\) −2.01204 + 12.2729i −0.113365 + 0.691498i
\(316\) −11.7902 + 17.3893i −0.663253 + 0.978225i
\(317\) 0.403967 0.307088i 0.0226890 0.0172478i −0.593768 0.804636i \(-0.702360\pi\)
0.616457 + 0.787388i \(0.288567\pi\)
\(318\) −6.76699 0.735955i −0.379474 0.0412703i
\(319\) 22.4267 42.3013i 1.25565 2.36842i
\(320\) −24.8750 + 14.9668i −1.39055 + 0.836669i
\(321\) 4.29940 + 2.58686i 0.239969 + 0.144385i
\(322\) 12.0267 + 22.6847i 0.670220 + 1.26417i
\(323\) 8.99518 + 22.5762i 0.500505 + 1.25617i
\(324\) 2.07311 0.456326i 0.115173 0.0253515i
\(325\) −12.5843 + 2.77001i −0.698051 + 0.153653i
\(326\) −7.56866 18.9959i −0.419189 1.05209i
\(327\) 4.67945 + 8.82638i 0.258774 + 0.488100i
\(328\) −0.177285 0.106669i −0.00978892 0.00588980i
\(329\) 14.7719 8.88795i 0.814401 0.490009i
\(330\) 17.1553 32.3583i 0.944367 1.78126i
\(331\) 32.3170 + 3.51469i 1.77630 + 0.193185i 0.936728 0.350058i \(-0.113838\pi\)
0.839576 + 0.543243i \(0.182804\pi\)
\(332\) −9.13195 + 6.94192i −0.501181 + 0.380988i
\(333\) −3.87689 + 5.71798i −0.212452 + 0.313344i
\(334\) −3.87012 + 23.6067i −0.211763 + 1.29170i
\(335\) −5.89815 + 14.8033i −0.322251 + 0.808788i
\(336\) −14.2537 + 1.55018i −0.777600 + 0.0845691i
\(337\) 8.96987 8.49671i 0.488620 0.462846i −0.403281 0.915076i \(-0.632130\pi\)
0.891901 + 0.452231i \(0.149372\pi\)
\(338\) −9.92882 11.6891i −0.540056 0.635804i
\(339\) −5.81261 + 2.68920i −0.315698 + 0.146057i
\(340\) −13.4194 19.7922i −0.727770 1.07338i
\(341\) 40.4127 + 13.6166i 2.18847 + 0.737381i
\(342\) 3.80114 13.6905i 0.205542 0.740295i
\(343\) −1.73965 + 2.04808i −0.0939324 + 0.110586i
\(344\) −0.00440015 0.0811560i −0.000237240 0.00437564i
\(345\) −10.1377 + 3.41579i −0.545796 + 0.183900i
\(346\) −1.17960 0.896709i −0.0634157 0.0482074i
\(347\) −21.9314 20.7746i −1.17734 1.11524i −0.991153 0.132722i \(-0.957628\pi\)
−0.186188 0.982514i \(-0.559613\pi\)
\(348\) −0.989467 + 18.2496i −0.0530410 + 0.978284i
\(349\) −4.97800 17.9291i −0.266466 0.959724i −0.968793 0.247870i \(-0.920270\pi\)
0.702327 0.711854i \(-0.252144\pi\)
\(350\) −39.0109 18.0484i −2.08522 0.964726i
\(351\) 0.377567 + 2.30306i 0.0201530 + 0.122928i
\(352\) 43.9426 + 9.67250i 2.34215 + 0.515546i
\(353\) −17.5352 −0.933304 −0.466652 0.884441i \(-0.654540\pi\)
−0.466652 + 0.884441i \(0.654540\pi\)
\(354\) 4.35411 14.9761i 0.231418 0.795971i
\(355\) −5.73786 −0.304534
\(356\) 2.93976 + 0.647091i 0.155807 + 0.0342958i
\(357\) −2.15425 13.1404i −0.114015 0.695461i
\(358\) −43.9786 20.3466i −2.32434 1.07535i
\(359\) 5.85483 + 21.0872i 0.309006 + 1.11294i 0.941122 + 0.338066i \(0.109773\pi\)
−0.632116 + 0.774873i \(0.717814\pi\)
\(360\) −0.0437648 + 0.807194i −0.00230661 + 0.0425428i
\(361\) −21.7558 20.6082i −1.14504 1.08464i
\(362\) −8.75772 6.65745i −0.460296 0.349908i
\(363\) −18.8808 + 6.36167i −0.990983 + 0.333901i
\(364\) 1.02835 + 18.9668i 0.0539002 + 0.994132i
\(365\) 7.79775 9.18022i 0.408153 0.480515i
\(366\) 0.0558354 0.201101i 0.00291856 0.0105117i
\(367\) −30.4935 10.2745i −1.59175 0.536323i −0.622545 0.782584i \(-0.713901\pi\)
−0.969203 + 0.246261i \(0.920798\pi\)
\(368\) −6.92106 10.2078i −0.360785 0.532118i
\(369\) 0.753468 0.348592i 0.0392240 0.0181470i
\(370\) −29.4555 34.6777i −1.53132 1.80281i
\(371\) 9.33171 8.83947i 0.484478 0.458922i
\(372\) −16.1833 + 1.76004i −0.839063 + 0.0912536i
\(373\) −10.7008 + 26.8571i −0.554068 + 1.39061i 0.339044 + 0.940771i \(0.389896\pi\)
−0.893112 + 0.449835i \(0.851483\pi\)
\(374\) −6.34401 + 38.6968i −0.328041 + 2.00096i
\(375\) 0.948873 1.39948i 0.0489996 0.0722690i
\(376\) 0.892075 0.678137i 0.0460052 0.0349723i
\(377\) −19.9759 2.17251i −1.02881 0.111890i
\(378\) −3.64661 + 6.87823i −0.187561 + 0.353778i
\(379\) −14.2446 + 8.57071i −0.731697 + 0.440248i −0.832047 0.554705i \(-0.812831\pi\)
0.100350 + 0.994952i \(0.468004\pi\)
\(380\) 41.2848 + 24.8403i 2.11787 + 1.27428i
\(381\) −9.05271 17.0752i −0.463784 0.874790i
\(382\) 19.3170 + 48.4821i 0.988345 + 2.48056i
\(383\) −14.8515 + 3.26907i −0.758878 + 0.167042i −0.577521 0.816376i \(-0.695980\pi\)
−0.181357 + 0.983417i \(0.558049\pi\)
\(384\) −1.94347 + 0.427791i −0.0991774 + 0.0218306i
\(385\) 25.5985 + 64.2475i 1.30462 + 3.27435i
\(386\) 10.3694 + 19.5587i 0.527787 + 0.995511i
\(387\) 0.279438 + 0.168132i 0.0142046 + 0.00854665i
\(388\) −10.8674 + 6.53872i −0.551710 + 0.331953i
\(389\) 0.910726 1.71781i 0.0461757 0.0870965i −0.859350 0.511387i \(-0.829132\pi\)
0.905526 + 0.424291i \(0.139477\pi\)
\(390\) −15.2805 1.66185i −0.773758 0.0841513i
\(391\) 9.11833 6.93158i 0.461134 0.350545i
\(392\) −1.07703 + 1.58850i −0.0543982 + 0.0802313i
\(393\) 0.218515 1.33288i 0.0110226 0.0672349i
\(394\) −11.5621 + 29.0186i −0.582488 + 1.46193i
\(395\) 31.9153 3.47100i 1.60583 0.174645i
\(396\) 8.56992 8.11786i 0.430654 0.407938i
\(397\) 14.1921 + 16.7082i 0.712279 + 0.838559i 0.992611 0.121344i \(-0.0387203\pi\)
−0.280332 + 0.959903i \(0.590444\pi\)
\(398\) 33.2040 15.3618i 1.66437 0.770018i
\(399\) 15.0567 + 22.2070i 0.753778 + 1.11174i
\(400\) 19.5658 + 6.59248i 0.978288 + 0.329624i
\(401\) 0.674922 2.43085i 0.0337040 0.121391i −0.944784 0.327692i \(-0.893729\pi\)
0.978488 + 0.206302i \(0.0661428\pi\)
\(402\) −6.45765 + 7.60254i −0.322078 + 0.379180i
\(403\) −0.968938 17.8710i −0.0482662 0.890218i
\(404\) 16.9118 5.69825i 0.841394 0.283499i
\(405\) −2.58225 1.96297i −0.128313 0.0975410i
\(406\) −48.6624 46.0954i −2.41507 2.28768i
\(407\) −2.07984 + 38.3605i −0.103094 + 1.90146i
\(408\) −0.231551 0.833970i −0.0114635 0.0412877i
\(409\) −8.75943 4.05255i −0.433126 0.200385i 0.191197 0.981552i \(-0.438763\pi\)
−0.624323 + 0.781166i \(0.714625\pi\)
\(410\) 0.884585 + 5.39573i 0.0436865 + 0.266476i
\(411\) −12.4319 2.73646i −0.613218 0.134980i
\(412\) 12.0338 0.592863
\(413\) 16.2310 + 24.5745i 0.798676 + 1.20923i
\(414\) −6.69653 −0.329116
\(415\) 17.1184 + 3.76804i 0.840308 + 0.184966i
\(416\) −3.05498 18.6345i −0.149783 0.913634i
\(417\) −7.27682 3.36662i −0.356348 0.164864i
\(418\) −21.1378 76.1314i −1.03388 3.72371i
\(419\) 0.557979 10.2913i 0.0272591 0.502764i −0.952743 0.303777i \(-0.901752\pi\)
0.980002 0.198987i \(-0.0637650\pi\)
\(420\) −19.1662 18.1552i −0.935215 0.885883i
\(421\) 1.66487 + 1.26560i 0.0811409 + 0.0616817i 0.644958 0.764218i \(-0.276875\pi\)
−0.563817 + 0.825899i \(0.690668\pi\)
\(422\) −18.6334 + 6.27831i −0.907058 + 0.305623i
\(423\) 0.243425 + 4.48972i 0.0118357 + 0.218297i
\(424\) 0.540880 0.636773i 0.0262674 0.0309244i
\(425\) −5.12984 + 18.4760i −0.248834 + 0.896219i
\(426\) −3.40376 1.14686i −0.164912 0.0555655i
\(427\) 0.221170 + 0.326201i 0.0107032 + 0.0157860i
\(428\) −9.66672 + 4.47230i −0.467259 + 0.216177i
\(429\) 8.40181 + 9.89138i 0.405643 + 0.477560i
\(430\) −1.55933 + 1.47708i −0.0751976 + 0.0712310i
\(431\) −25.2354 + 2.74451i −1.21554 + 0.132198i −0.693333 0.720617i \(-0.743858\pi\)
−0.522212 + 0.852816i \(0.674893\pi\)
\(432\) 1.38411 3.47387i 0.0665932 0.167136i
\(433\) 5.80812 35.4280i 0.279120 1.70256i −0.359588 0.933111i \(-0.617083\pi\)
0.638709 0.769448i \(-0.279469\pi\)
\(434\) 33.5038 49.4145i 1.60824 2.37197i
\(435\) 22.2327 16.9009i 1.06598 0.810336i
\(436\) −21.0821 2.29282i −1.00965 0.109806i
\(437\) −10.8102 + 20.3901i −0.517120 + 0.975392i
\(438\) 6.46060 3.88721i 0.308699 0.185738i
\(439\) 25.1738 + 15.1466i 1.20148 + 0.722906i 0.968364 0.249543i \(-0.0802805\pi\)
0.233115 + 0.972449i \(0.425108\pi\)
\(440\) 2.10565 + 3.97167i 0.100383 + 0.189342i
\(441\) −2.85038 7.15391i −0.135732 0.340663i
\(442\) 16.0723 3.53778i 0.764481 0.168275i
\(443\) 32.1912 7.08582i 1.52945 0.336658i 0.631018 0.775768i \(-0.282637\pi\)
0.898433 + 0.439111i \(0.144706\pi\)
\(444\) −5.42796 13.6231i −0.257599 0.646526i
\(445\) −2.15451 4.06384i −0.102134 0.192644i
\(446\) 19.4724 + 11.7162i 0.922046 + 0.554776i
\(447\) 10.4241 6.27199i 0.493044 0.296655i
\(448\) 16.0737 30.3182i 0.759412 1.43240i
\(449\) −39.0920 4.25151i −1.84486 0.200641i −0.882115 0.471034i \(-0.843881\pi\)
−0.962750 + 0.270393i \(0.912846\pi\)
\(450\) 8.92475 6.78442i 0.420717 0.319821i
\(451\) 2.59081 3.82116i 0.121997 0.179931i
\(452\) 2.19946 13.4161i 0.103454 0.631040i
\(453\) −5.29971 + 13.3013i −0.249002 + 0.624948i
\(454\) −15.0182 + 1.63333i −0.704839 + 0.0766558i
\(455\) 21.0719 19.9603i 0.987865 0.935755i
\(456\) 1.12900 + 1.32917i 0.0528704 + 0.0622439i
\(457\) 5.98621 2.76951i 0.280023 0.129552i −0.274851 0.961487i \(-0.588629\pi\)
0.554874 + 0.831934i \(0.312766\pi\)
\(458\) 7.35531 + 10.8483i 0.343691 + 0.506906i
\(459\) 3.29113 + 1.10891i 0.153617 + 0.0517595i
\(460\) 6.07516 21.8807i 0.283256 1.02019i
\(461\) 16.0078 18.8458i 0.745556 0.877737i −0.250348 0.968156i \(-0.580545\pi\)
0.995904 + 0.0904195i \(0.0288208\pi\)
\(462\) 2.34379 + 43.2287i 0.109043 + 2.01118i
\(463\) −31.3011 + 10.5466i −1.45468 + 0.490140i −0.932023 0.362400i \(-0.881958\pi\)
−0.522662 + 0.852540i \(0.675061\pi\)
\(464\) 25.6311 + 19.4842i 1.18989 + 0.904533i
\(465\) 18.0589 + 17.1063i 0.837460 + 0.793284i
\(466\) −0.776816 + 14.3275i −0.0359853 + 0.663710i
\(467\) 1.31536 + 4.73748i 0.0608674 + 0.219225i 0.987729 0.156179i \(-0.0499178\pi\)
−0.926861 + 0.375404i \(0.877504\pi\)
\(468\) −4.49618 2.08015i −0.207836 0.0961551i
\(469\) −3.04733 18.5879i −0.140713 0.858309i
\(470\) −28.9207 6.36594i −1.33401 0.293639i
\(471\) 4.20284 0.193656
\(472\) 1.22152 + 1.47390i 0.0562252 + 0.0678416i
\(473\) 1.81352 0.0833858
\(474\) 19.6262 + 4.32006i 0.901463 + 0.198427i
\(475\) −6.25058 38.1269i −0.286796 1.74938i
\(476\) 25.6535 + 11.8686i 1.17582 + 0.543994i
\(477\) 0.896863 + 3.23021i 0.0410645 + 0.147901i
\(478\) −1.57981 + 29.1379i −0.0722589 + 1.33274i
\(479\) −7.61662 7.21485i −0.348012 0.329655i 0.493648 0.869662i \(-0.335663\pi\)
−0.841661 + 0.540007i \(0.818422\pi\)
\(480\) 20.8935 + 15.8829i 0.953656 + 0.724950i
\(481\) 15.2788 5.14802i 0.696653 0.234730i
\(482\) 0.812839 + 14.9919i 0.0370238 + 0.682864i
\(483\) 8.18637 9.63774i 0.372493 0.438532i
\(484\) 11.3145 40.7513i 0.514297 1.85233i
\(485\) 18.3656 + 6.18809i 0.833939 + 0.280987i
\(486\) −1.13946 1.68058i −0.0516871 0.0762328i
\(487\) −32.9621 + 15.2499i −1.49365 + 0.691038i −0.985413 0.170178i \(-0.945566\pi\)
−0.508240 + 0.861215i \(0.669704\pi\)
\(488\) 0.0165841 + 0.0195243i 0.000750726 + 0.000883822i
\(489\) −7.31132 + 6.92565i −0.330629 + 0.313189i
\(490\) 50.4211 5.48363i 2.27780 0.247725i
\(491\) −3.83080 + 9.61458i −0.172881 + 0.433900i −0.989729 0.142953i \(-0.954340\pi\)
0.816848 + 0.576853i \(0.195719\pi\)
\(492\) −0.285108 + 1.73908i −0.0128537 + 0.0784039i
\(493\) −16.7802 + 24.7490i −0.755743 + 1.11464i
\(494\) −26.3980 + 20.0673i −1.18770 + 0.902869i
\(495\) −17.9319 1.95021i −0.805979 0.0876555i
\(496\) −13.4325 + 25.3363i −0.603135 + 1.13763i
\(497\) 5.81160 3.49672i 0.260686 0.156849i
\(498\) 9.40165 + 5.65678i 0.421298 + 0.253487i
\(499\) −11.6642 22.0009i −0.522160 0.984897i −0.994624 0.103548i \(-0.966980\pi\)
0.472465 0.881349i \(-0.343364\pi\)
\(500\) 1.32850 + 3.33428i 0.0594123 + 0.149114i
\(501\) 11.5061 2.53268i 0.514053 0.113152i
\(502\) 34.4945 7.59282i 1.53957 0.338884i
\(503\) −14.4044 36.1523i −0.642260 1.61195i −0.783084 0.621916i \(-0.786354\pi\)
0.140824 0.990035i \(-0.455025\pi\)
\(504\) −0.447587 0.844238i −0.0199371 0.0376053i
\(505\) −23.3661 14.0589i −1.03978 0.625614i
\(506\) −31.9083 + 19.1986i −1.41850 + 0.853481i
\(507\) −3.53806 + 6.67350i −0.157131 + 0.296380i
\(508\) 40.7847 + 4.43560i 1.80953 + 0.196798i
\(509\) 12.3158 9.36224i 0.545889 0.414974i −0.295549 0.955328i \(-0.595503\pi\)
0.841438 + 0.540354i \(0.181710\pi\)
\(510\) −12.8360 + 18.9317i −0.568388 + 0.838309i
\(511\) −2.30342 + 14.0502i −0.101897 + 0.621546i
\(512\) −11.8891 + 29.8393i −0.525428 + 1.31872i
\(513\) −6.95661 + 0.756577i −0.307142 + 0.0334037i
\(514\) −11.3505 + 10.7518i −0.500650 + 0.474241i
\(515\) −11.9043 14.0148i −0.524566 0.617566i
\(516\) −0.628285 + 0.290676i −0.0276587 + 0.0127963i
\(517\) 14.0317 + 20.6952i 0.617113 + 0.910173i
\(518\) 50.9670 + 17.1728i 2.23936 + 0.754529i
\(519\) −0.195231 + 0.703157i −0.00856967 + 0.0308652i
\(520\) 1.22136 1.43789i 0.0535600 0.0630557i
\(521\) −0.986834 18.2011i −0.0432340 0.797404i −0.937098 0.349066i \(-0.886499\pi\)
0.893864 0.448338i \(-0.147984\pi\)
\(522\) 16.5668 5.58199i 0.725107 0.244317i
\(523\) −1.94644 1.47965i −0.0851119 0.0647004i 0.561753 0.827305i \(-0.310127\pi\)
−0.646865 + 0.762605i \(0.723920\pi\)
\(524\) 2.08152 + 1.97172i 0.0909317 + 0.0861351i
\(525\) −1.14609 + 21.1385i −0.0500196 + 0.922558i
\(526\) 4.39157 + 15.8170i 0.191481 + 0.689654i
\(527\) −24.1713 11.1828i −1.05292 0.487132i
\(528\) −3.36422 20.5208i −0.146409 0.893054i
\(529\) −11.8395 2.60606i −0.514760 0.113307i
\(530\) −22.0792 −0.959059
\(531\) −7.64562 + 0.737944i −0.331791 + 0.0320240i
\(532\) −56.9533 −2.46924
\(533\) −1.89222 0.416509i −0.0819612 0.0180410i
\(534\) −0.465814 2.84134i −0.0201578 0.122957i
\(535\) 14.7712 + 6.83389i 0.638616 + 0.295455i
\(536\) −0.327543 1.17970i −0.0141477 0.0509555i
\(537\) −1.29204 + 23.8302i −0.0557555 + 1.02835i
\(538\) −26.6469 25.2413i −1.14883 1.08823i
\(539\) −34.0917 25.9158i −1.46843 1.11627i
\(540\) 6.52500 2.19853i 0.280791 0.0946096i
\(541\) −1.13281 20.8935i −0.0487034 0.898281i −0.916171 0.400787i \(-0.868737\pi\)
0.867468 0.497493i \(-0.165746\pi\)
\(542\) −4.88710 + 5.75354i −0.209919 + 0.247136i
\(543\) −1.44945 + 5.22046i −0.0622020 + 0.224031i
\(544\) −26.6292 8.97243i −1.14172 0.384690i
\(545\) 18.1850 + 26.8208i 0.778958 + 1.14888i
\(546\) 16.4896 7.62891i 0.705691 0.326487i
\(547\) −10.1945 12.0019i −0.435887 0.513166i 0.499731 0.866181i \(-0.333432\pi\)
−0.935618 + 0.353015i \(0.885156\pi\)
\(548\) 19.6174 18.5826i 0.838013 0.793808i
\(549\) −0.102186 + 0.0111134i −0.00436121 + 0.000474310i
\(550\) 23.0750 57.9139i 0.983922 2.46946i
\(551\) 9.74711 59.4548i 0.415241 2.53286i
\(552\) 0.461259 0.680307i 0.0196325 0.0289558i
\(553\) −30.2102 + 22.9652i −1.28467 + 0.976579i
\(554\) 31.8303 + 3.46175i 1.35234 + 0.147076i
\(555\) −10.4963 + 19.7980i −0.445541 + 0.840380i
\(556\) 14.5836 8.77466i 0.618482 0.372128i
\(557\) 1.42756 + 0.858937i 0.0604878 + 0.0363943i 0.545477 0.838126i \(-0.316349\pi\)
−0.484989 + 0.874520i \(0.661176\pi\)
\(558\) 7.29357 + 13.7571i 0.308762 + 0.582386i
\(559\) −0.281712 0.707043i −0.0119151 0.0299047i
\(560\) −45.4192 + 9.99752i −1.91931 + 0.422472i
\(561\) 18.8611 4.15164i 0.796316 0.175282i
\(562\) 18.9552 + 47.5739i 0.799576 + 2.00679i
\(563\) 10.6888 + 20.1613i 0.450481 + 0.849697i 0.999900 + 0.0141500i \(0.00450422\pi\)
−0.549419 + 0.835547i \(0.685151\pi\)
\(564\) −8.17827 4.92070i −0.344367 0.207199i
\(565\) −17.8005 + 10.7102i −0.748871 + 0.450581i
\(566\) 13.0262 24.5699i 0.547530 1.03275i
\(567\) 3.81169 + 0.414547i 0.160076 + 0.0174093i
\(568\) 0.350963 0.266795i 0.0147261 0.0111945i
\(569\) 0.419001 0.617980i 0.0175654 0.0259071i −0.818805 0.574072i \(-0.805363\pi\)
0.836370 + 0.548165i \(0.184673\pi\)
\(570\) 7.45604 45.4798i 0.312299 1.90494i
\(571\) 12.7253 31.9380i 0.532536 1.33656i −0.379020 0.925388i \(-0.623739\pi\)
0.911556 0.411176i \(-0.134882\pi\)
\(572\) −27.3875 + 2.97857i −1.14513 + 0.124540i
\(573\) 18.6602 17.6759i 0.779543 0.738422i
\(574\) −4.18418 4.92599i −0.174644 0.205607i
\(575\) −16.5264 + 7.64593i −0.689199 + 0.318857i
\(576\) 5.02259 + 7.40777i 0.209275 + 0.308657i
\(577\) 38.7984 + 13.0727i 1.61520 + 0.544224i 0.974658 0.223700i \(-0.0718137\pi\)
0.640541 + 0.767924i \(0.278710\pi\)
\(578\) −2.68278 + 9.66250i −0.111589 + 0.401907i
\(579\) 7.05826 8.30963i 0.293331 0.345337i
\(580\) 3.20949 + 59.1955i 0.133267 + 2.45796i
\(581\) −19.6347 + 6.61569i −0.814583 + 0.274465i
\(582\) 9.65780 + 7.34167i 0.400329 + 0.304322i
\(583\) 13.5343 + 12.8204i 0.560533 + 0.530965i
\(584\) −0.0501028 + 0.924092i −0.00207327 + 0.0382392i
\(585\) 2.02520 + 7.29411i 0.0837317 + 0.301574i
\(586\) 38.2636 + 17.7026i 1.58066 + 0.731289i
\(587\) 3.97207 + 24.2286i 0.163945 + 1.00002i 0.932746 + 0.360533i \(0.117405\pi\)
−0.768801 + 0.639488i \(0.779147\pi\)
\(588\) 15.9647 + 3.51410i 0.658375 + 0.144919i
\(589\) 53.6628 2.21114
\(590\) 8.78829 49.8195i 0.361808 2.05103i
\(591\) 15.3843 0.632826
\(592\) −25.2296 5.55345i −1.03693 0.228245i
\(593\) 1.58769 + 9.68445i 0.0651984 + 0.397693i 0.999184 + 0.0403828i \(0.0128577\pi\)
−0.933986 + 0.357310i \(0.883694\pi\)
\(594\) −10.2476 4.74104i −0.420463 0.194527i
\(595\) −11.5550 41.6174i −0.473709 1.70615i
\(596\) −1.39810 + 25.7864i −0.0572683 + 1.05625i
\(597\) −13.0812 12.3912i −0.535379 0.507138i
\(598\) 12.4416 + 9.45788i 0.508776 + 0.386761i
\(599\) −30.0177 + 10.1141i −1.22649 + 0.413253i −0.856677 0.515854i \(-0.827475\pi\)
−0.369813 + 0.929106i \(0.620578\pi\)
\(600\) 0.0744955 + 1.37399i 0.00304126 + 0.0560928i
\(601\) 9.26653 10.9094i 0.377990 0.445004i −0.539966 0.841687i \(-0.681563\pi\)
0.917956 + 0.396683i \(0.129839\pi\)
\(602\) 0.679221 2.44633i 0.0276830 0.0997051i
\(603\) 4.65551 + 1.56862i 0.189587 + 0.0638793i
\(604\) −17.0566 25.1566i −0.694024 1.02361i
\(605\) −58.6526 + 27.1356i −2.38457 + 1.10322i
\(606\) −11.0510 13.0102i −0.448915 0.528503i
\(607\) −19.7758 + 18.7326i −0.802675 + 0.760334i −0.974403 0.224810i \(-0.927824\pi\)
0.171727 + 0.985144i \(0.445065\pi\)
\(608\) 56.2875 6.12163i 2.28276 0.248265i
\(609\) −12.2188 + 30.6670i −0.495133 + 1.24269i
\(610\) 0.109523 0.668059i 0.00443444 0.0270489i
\(611\) 5.88881 8.68535i 0.238236 0.351372i
\(612\) −5.86889 + 4.46141i −0.237236 + 0.180342i
\(613\) −18.6925 2.03293i −0.754981 0.0821092i −0.277469 0.960734i \(-0.589496\pi\)
−0.477512 + 0.878625i \(0.658461\pi\)
\(614\) 3.80797 7.18260i 0.153677 0.289866i
\(615\) 2.30741 1.38832i 0.0930438 0.0559826i
\(616\) −4.55309 2.73950i −0.183449 0.110378i
\(617\) −19.9049 37.5447i −0.801343 1.51149i −0.858318 0.513117i \(-0.828491\pi\)
0.0569755 0.998376i \(-0.481854\pi\)
\(618\) −4.26052 10.6931i −0.171383 0.430140i
\(619\) 39.4590 8.68559i 1.58599 0.349103i 0.667521 0.744591i \(-0.267355\pi\)
0.918471 + 0.395488i \(0.129424\pi\)
\(620\) −51.5679 + 11.3510i −2.07102 + 0.455865i
\(621\) 1.22073 + 3.06381i 0.0489863 + 0.122946i
\(622\) 5.14610 + 9.70658i 0.206340 + 0.389198i
\(623\) 4.65875 + 2.80308i 0.186649 + 0.112303i
\(624\) −7.47791 + 4.49931i −0.299356 + 0.180117i
\(625\) −10.3621 + 19.5450i −0.414483 + 0.781799i
\(626\) 30.1854 + 3.28286i 1.20645 + 0.131209i
\(627\) −30.9785 + 23.5492i −1.23716 + 0.940466i
\(628\) −5.00665 + 7.38425i −0.199787 + 0.294664i
\(629\) 3.88151 23.6762i 0.154766 0.944031i
\(630\) −9.34679 + 23.4587i −0.372385 + 0.934616i
\(631\) 45.8093 4.98206i 1.82364 0.198333i 0.868742 0.495266i \(-0.164929\pi\)
0.954898 + 0.296933i \(0.0959637\pi\)
\(632\) −1.79074 + 1.69628i −0.0712319 + 0.0674745i
\(633\) 6.26920 + 7.38068i 0.249178 + 0.293356i
\(634\) 0.935099 0.432623i 0.0371375 0.0171817i
\(635\) −35.1800 51.8866i −1.39608 2.05906i
\(636\) −6.74377 2.27224i −0.267408 0.0901001i
\(637\) −4.80809 + 17.3172i −0.190503 + 0.686131i
\(638\) 62.9357 74.0937i 2.49165 2.93340i
\(639\) 0.0957691 + 1.76636i 0.00378857 + 0.0698760i
\(640\) −6.11696 + 2.06105i −0.241794 + 0.0814700i
\(641\) 1.28711 + 0.978439i 0.0508380 + 0.0386460i 0.630285 0.776364i \(-0.282938\pi\)
−0.579447 + 0.815010i \(0.696731\pi\)
\(642\) 7.39650 + 7.00634i 0.291917 + 0.276518i
\(643\) 0.416528 7.68240i 0.0164263 0.302964i −0.978763 0.204994i \(-0.934282\pi\)
0.995189 0.0979699i \(-0.0312349\pi\)
\(644\) 7.18116 + 25.8642i 0.282977 + 1.01919i
\(645\) 0.960050 + 0.444167i 0.0378020 + 0.0174890i
\(646\) 7.98306 + 48.6945i 0.314089 + 1.91586i
\(647\) 1.56162 + 0.343739i 0.0613937 + 0.0135138i 0.245561 0.969381i \(-0.421028\pi\)
−0.184167 + 0.982895i \(0.558959\pi\)
\(648\) 0.249219 0.00979024
\(649\) −34.3150 + 25.4358i −1.34698 + 0.998443i
\(650\) −26.1635 −1.02622
\(651\) −28.7157 6.32081i −1.12546 0.247732i
\(652\) −3.45851 21.0960i −0.135446 0.826182i
\(653\) 15.5345 + 7.18705i 0.607914 + 0.281251i 0.699597 0.714537i \(-0.253363\pi\)
−0.0916836 + 0.995788i \(0.529225\pi\)
\(654\) 5.42667 + 19.5451i 0.212199 + 0.764273i
\(655\) 0.237189 4.37469i 0.00926773 0.170933i
\(656\) 2.25385 + 2.13496i 0.0879979 + 0.0833561i
\(657\) −2.95621 2.24725i −0.115333 0.0876737i
\(658\) 33.1719 11.1769i 1.29317 0.435721i
\(659\) 0.900197 + 16.6031i 0.0350667 + 0.646767i 0.962251 + 0.272162i \(0.0877388\pi\)
−0.927185 + 0.374605i \(0.877778\pi\)
\(660\) 24.7879 29.1826i 0.964869 1.13593i
\(661\) 12.2851 44.2468i 0.477834 1.72100i −0.194635 0.980876i \(-0.562352\pi\)
0.672469 0.740126i \(-0.265234\pi\)
\(662\) 62.5499 + 21.0755i 2.43107 + 0.819124i
\(663\) −4.54848 6.70851i −0.176648 0.260537i
\(664\) −1.22227 + 0.565481i −0.0474332 + 0.0219449i
\(665\) 56.3404 + 66.3290i 2.18479 + 2.57213i
\(666\) −10.1836 + 9.64645i −0.394608 + 0.373792i
\(667\) −28.2292 + 3.07011i −1.09304 + 0.118875i
\(668\) −9.25682 + 23.2329i −0.358157 + 0.898907i
\(669\) 1.81071 11.0448i 0.0700060 0.427018i
\(670\) −18.1574 + 26.7801i −0.701480 + 1.03461i
\(671\) −0.455047 + 0.345918i −0.0175669 + 0.0133540i
\(672\) −30.8413 3.35419i −1.18973 0.129391i
\(673\) 12.0015 22.6372i 0.462624 0.872601i −0.536956 0.843610i \(-0.680426\pi\)
0.999580 0.0289909i \(-0.00922938\pi\)
\(674\) 21.4958 12.9336i 0.827988 0.498184i
\(675\) −4.73094 2.84651i −0.182094 0.109562i
\(676\) −7.51039 14.1661i −0.288861 0.544850i
\(677\) −8.37490 21.0194i −0.321874 0.807842i −0.997505 0.0706020i \(-0.977508\pi\)
0.675631 0.737240i \(-0.263871\pi\)
\(678\) −12.7001 + 2.79551i −0.487745 + 0.107361i
\(679\) −22.3727 + 4.92461i −0.858586 + 0.188989i
\(680\) −1.03914 2.60805i −0.0398492 0.100014i
\(681\) 3.48500 + 6.57341i 0.133545 + 0.251893i
\(682\) 74.1942 + 44.6411i 2.84104 + 1.70940i
\(683\) −27.9328 + 16.8066i −1.06882 + 0.643087i −0.937405 0.348241i \(-0.886779\pi\)
−0.131413 + 0.991328i \(0.541952\pi\)
\(684\) 6.95781 13.1238i 0.266038 0.501802i
\(685\) −41.0479 4.46423i −1.56836 0.170569i
\(686\) −4.34366 + 3.30196i −0.165842 + 0.126070i
\(687\) 3.62250 5.34278i 0.138207 0.203840i
\(688\) −0.197295 + 1.20344i −0.00752179 + 0.0458809i
\(689\) 2.89590 7.26816i 0.110325 0.276895i
\(690\) −21.5939 + 2.34847i −0.822064 + 0.0894049i
\(691\) −23.9721 + 22.7076i −0.911942 + 0.863837i −0.991113 0.133024i \(-0.957531\pi\)
0.0791713 + 0.996861i \(0.474773\pi\)
\(692\) −1.00286 1.18065i −0.0381229 0.0448817i
\(693\) 19.3508 8.95265i 0.735077 0.340083i
\(694\) −34.4218 50.7684i −1.30663 1.92714i
\(695\) −24.6458 8.30413i −0.934868 0.314994i
\(696\) −0.574045 + 2.06752i −0.0217591 + 0.0783692i
\(697\) −1.86656 + 2.19748i −0.0707008 + 0.0832354i
\(698\) −2.04544 37.7260i −0.0774211 1.42795i
\(699\) 6.69676 2.25640i 0.253295 0.0853449i
\(700\) −35.7743 27.1949i −1.35214 1.02787i
\(701\) 5.16549 + 4.89301i 0.195098 + 0.184807i 0.779012 0.627009i \(-0.215721\pi\)
−0.583914 + 0.811815i \(0.698480\pi\)
\(702\) −0.256547 + 4.73172i −0.00968273 + 0.178587i
\(703\) 12.9329 + 46.5801i 0.487774 + 1.75680i
\(704\) 45.1699 + 20.8978i 1.70240 + 0.787616i
\(705\) 2.35950 + 14.3923i 0.0888641 + 0.542047i
\(706\) −34.7720 7.65389i −1.30866 0.288058i
\(707\) 32.2341 1.21229
\(708\) 7.81133 14.3122i 0.293568 0.537885i
\(709\) −18.9968 −0.713439 −0.356719 0.934212i \(-0.616105\pi\)
−0.356719 + 0.934212i \(0.616105\pi\)
\(710\) −11.3781 2.50450i −0.427012 0.0939924i
\(711\) −1.60121 9.76695i −0.0600501 0.366289i
\(712\) 0.320740 + 0.148390i 0.0120202 + 0.00556116i
\(713\) −6.76626 24.3699i −0.253399 0.912659i
\(714\) 1.46376 26.9974i 0.0547797 1.01035i
\(715\) 30.5617 + 28.9496i 1.14294 + 1.08265i
\(716\) −40.3298 30.6579i −1.50719 1.14574i
\(717\) 13.6192 4.58885i 0.508619 0.171374i
\(718\) 2.40573 + 44.3711i 0.0897810 + 1.65591i
\(719\) −23.1493 + 27.2534i −0.863323 + 1.01638i 0.136347 + 0.990661i \(0.456464\pi\)
−0.999669 + 0.0257207i \(0.991812\pi\)
\(720\) 3.24498 11.6874i 0.120933 0.435562i
\(721\) 20.5981 + 6.94030i 0.767112 + 0.258470i
\(722\) −34.1461 50.3617i −1.27079 1.87427i
\(723\) 6.71096 3.10482i 0.249583 0.115470i
\(724\) −7.44552 8.76554i −0.276710 0.325769i
\(725\) 34.5119 32.6914i 1.28174 1.21413i
\(726\) −40.2170 + 4.37386i −1.49259 + 0.162329i
\(727\) 1.75982 4.41682i 0.0652683 0.163811i −0.892725 0.450602i \(-0.851209\pi\)
0.957993 + 0.286791i \(0.0925886\pi\)
\(728\) −0.360783 + 2.20068i −0.0133715 + 0.0815626i
\(729\) −0.561187 + 0.827689i −0.0207847 + 0.0306551i
\(730\) 19.4698 14.8006i 0.720611 0.547794i
\(731\) −1.12595 0.122454i −0.0416447 0.00452914i
\(732\) 0.102204 0.192777i 0.00377757 0.00712526i
\(733\) −22.0505 + 13.2673i −0.814452 + 0.490040i −0.860835 0.508884i \(-0.830058\pi\)
0.0463829 + 0.998924i \(0.485231\pi\)
\(734\) −55.9834 33.6841i −2.06639 1.24330i
\(735\) −11.7003 22.0691i −0.431573 0.814033i
\(736\) −9.87722 24.7899i −0.364079 0.913770i
\(737\) 26.6802 5.87276i 0.982779 0.216326i
\(738\) 1.64627 0.362371i 0.0606000 0.0133391i
\(739\) 9.75617 + 24.4861i 0.358887 + 0.900737i 0.991949 + 0.126637i \(0.0404183\pi\)
−0.633063 + 0.774101i \(0.718202\pi\)
\(740\) −22.2808 42.0261i −0.819060 1.54491i
\(741\) 13.9934 + 8.41955i 0.514060 + 0.309300i
\(742\) 22.3629 13.4553i 0.820969 0.493961i
\(743\) −12.5296 + 23.6334i −0.459667 + 0.867024i 0.540011 + 0.841658i \(0.318420\pi\)
−0.999678 + 0.0253663i \(0.991925\pi\)
\(744\) −1.89999 0.206636i −0.0696568 0.00757564i
\(745\) 31.4144 23.8806i 1.15094 0.874918i
\(746\) −32.9423 + 48.5863i −1.20610 + 1.77887i
\(747\) 0.874244 5.33265i 0.0319869 0.195112i
\(748\) −15.1741 + 38.0840i −0.554818 + 1.39249i
\(749\) −19.1257 + 2.08005i −0.698838 + 0.0760032i
\(750\) 2.49246 2.36098i 0.0910116 0.0862108i
\(751\) −6.11065 7.19401i −0.222981 0.262513i 0.639284 0.768970i \(-0.279231\pi\)
−0.862265 + 0.506457i \(0.830955\pi\)
\(752\) −15.2597 + 7.05991i −0.556466 + 0.257448i
\(753\) −9.76200 14.3979i −0.355747 0.524688i
\(754\) −38.6635 13.0273i −1.40804 0.474424i
\(755\) −12.4249 + 44.7504i −0.452188 + 1.62863i
\(756\) −5.26904 + 6.20320i −0.191633 + 0.225608i
\(757\) −0.0479360 0.884127i −0.00174226 0.0321341i 0.997533 0.0701990i \(-0.0223634\pi\)
−0.999275 + 0.0380648i \(0.987881\pi\)
\(758\) −31.9878 + 10.7780i −1.16185 + 0.391473i
\(759\) 14.6004 + 11.0990i 0.529963 + 0.402867i
\(760\) 4.10677 + 3.89014i 0.148968 + 0.141110i
\(761\) −1.61581 + 29.8018i −0.0585729 + 1.08031i 0.810535 + 0.585691i \(0.199177\pi\)
−0.869108 + 0.494623i \(0.835306\pi\)
\(762\) −10.4982 37.8113i −0.380311 1.36976i
\(763\) −34.7636 16.0833i −1.25853 0.582256i
\(764\) 8.82694 + 53.8420i 0.319348 + 1.94793i
\(765\) 11.0016 + 2.42163i 0.397763 + 0.0875543i
\(766\) −30.8772 −1.11564
\(767\) 15.2472 + 9.42729i 0.550545 + 0.340400i
\(768\) 13.8593 0.500104
\(769\) −17.0043 3.74293i −0.613190 0.134973i −0.102493 0.994734i \(-0.532682\pi\)
−0.510698 + 0.859760i \(0.670613\pi\)
\(770\) 22.7182 + 138.575i 0.818708 + 4.99390i
\(771\) 6.98830 + 3.23313i 0.251677 + 0.116438i
\(772\) 6.19158 + 22.3000i 0.222840 + 0.802596i
\(773\) 2.81495 51.9186i 0.101247