Properties

Label 403.2.bs.a.4.7
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.364510 + 1.71488i) q^{2} +(-0.797644 - 0.885874i) q^{3} +(-0.980870 - 0.436711i) q^{4} +3.57659i q^{5} +(1.80992 - 1.04496i) q^{6} +(0.0329582 - 0.0740253i) q^{7} +(-0.954559 + 1.31384i) q^{8} +(0.165050 - 1.57034i) q^{9} +O(q^{10})\) \(q+(-0.364510 + 1.71488i) q^{2} +(-0.797644 - 0.885874i) q^{3} +(-0.980870 - 0.436711i) q^{4} +3.57659i q^{5} +(1.80992 - 1.04496i) q^{6} +(0.0329582 - 0.0740253i) q^{7} +(-0.954559 + 1.31384i) q^{8} +(0.165050 - 1.57034i) q^{9} +(-6.13344 - 1.30370i) q^{10} +(-0.0769876 + 0.00809172i) q^{11} +(0.395514 + 1.21727i) q^{12} +(-2.41736 + 2.67514i) q^{13} +(0.114931 + 0.0835025i) q^{14} +(3.16841 - 2.85285i) q^{15} +(-3.34202 - 3.71169i) q^{16} +(-0.393147 + 3.74054i) q^{17} +(2.63279 + 0.855446i) q^{18} +(1.72739 + 1.55535i) q^{19} +(1.56194 - 3.50817i) q^{20} +(-0.0918660 + 0.0298491i) q^{21} +(0.0141864 - 0.134974i) q^{22} +(1.36132 - 0.606098i) q^{23} +(1.92529 - 0.202356i) q^{24} -7.79200 q^{25} +(-3.70639 - 5.12061i) q^{26} +(-4.41597 + 3.20839i) q^{27} +(-0.0646554 + 0.0582160i) q^{28} +(-4.71782 - 1.00280i) q^{29} +(3.73739 + 6.47334i) q^{30} +(-0.935150 - 5.48867i) q^{31} +(4.77048 - 2.75424i) q^{32} +(0.0685769 + 0.0617470i) q^{33} +(-6.27129 - 2.03767i) q^{34} +(0.264758 + 0.117878i) q^{35} +(-0.847678 + 1.46822i) q^{36} +(-9.56193 - 5.52058i) q^{37} +(-3.29690 + 2.39534i) q^{38} +(4.29803 + 0.00767347i) q^{39} +(-4.69906 - 3.41407i) q^{40} +(0.179754 - 0.845678i) q^{41} +(-0.0177016 - 0.168420i) q^{42} +(-4.87542 + 5.41470i) q^{43} +(0.0790485 + 0.0256844i) q^{44} +(5.61647 + 0.590315i) q^{45} +(0.543174 + 2.55543i) q^{46} +(11.4478 + 3.71960i) q^{47} +(-0.622344 + 5.92121i) q^{48} +(4.67952 + 5.19713i) q^{49} +(2.84026 - 13.3624i) q^{50} +(3.62724 - 2.63534i) q^{51} +(3.53938 - 1.56827i) q^{52} +(5.44280 + 3.95443i) q^{53} +(-3.89235 - 8.74236i) q^{54} +(-0.0289408 - 0.275353i) q^{55} +(0.0657967 + 0.113963i) q^{56} -2.77087i q^{57} +(3.43938 - 7.72498i) q^{58} +(1.92245 + 9.04442i) q^{59} +(-4.35366 + 1.41459i) q^{60} +(0.787045 + 1.36320i) q^{61} +(9.75330 + 0.397000i) q^{62} +(-0.110805 - 0.0639735i) q^{63} +(-0.102503 - 0.315473i) q^{64} +(-9.56786 - 8.64592i) q^{65} +(-0.130886 + 0.0950941i) q^{66} +(10.3712 + 5.98779i) q^{67} +(2.01916 - 3.49729i) q^{68} +(-1.62277 - 0.722506i) q^{69} +(-0.298654 + 0.411062i) q^{70} +(4.26214 + 0.447969i) q^{71} +(1.90563 + 1.71583i) q^{72} +(4.60271 + 6.33509i) q^{73} +(12.9526 - 14.3853i) q^{74} +(6.21524 + 6.90272i) q^{75} +(-1.01511 - 2.27997i) q^{76} +(-0.00193838 + 0.00596572i) q^{77} +(-1.57983 + 7.36782i) q^{78} +(-0.437356 - 0.317758i) q^{79} +(13.2752 - 11.9530i) q^{80} +(1.73113 + 0.367964i) q^{81} +(1.38472 + 0.616516i) q^{82} +(-6.28282 + 2.04141i) q^{83} +(0.103144 + 0.0108409i) q^{84} +(-13.3784 - 1.40613i) q^{85} +(-7.50845 - 10.3345i) q^{86} +(2.87478 + 4.97927i) q^{87} +(0.0628580 - 0.108873i) q^{88} +(10.3155 - 1.08420i) q^{89} +(-3.05958 + 9.41642i) q^{90} +(0.118356 + 0.267114i) q^{91} -1.59997 q^{92} +(-4.11635 + 5.20643i) q^{93} +(-10.5515 + 18.2758i) q^{94} +(-5.56285 + 6.17817i) q^{95} +(-6.24505 - 2.02914i) q^{96} +(6.21335 - 13.9554i) q^{97} +(-10.6182 + 6.13043i) q^{98} +0.122232i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.364510 + 1.71488i −0.257747 + 1.21261i 0.638700 + 0.769456i \(0.279473\pi\)
−0.896447 + 0.443150i \(0.853861\pi\)
\(3\) −0.797644 0.885874i −0.460520 0.511459i 0.467498 0.883994i \(-0.345155\pi\)
−0.928018 + 0.372535i \(0.878489\pi\)
\(4\) −0.980870 0.436711i −0.490435 0.218356i
\(5\) 3.57659i 1.59950i 0.600333 + 0.799750i \(0.295035\pi\)
−0.600333 + 0.799750i \(0.704965\pi\)
\(6\) 1.80992 1.04496i 0.738897 0.426602i
\(7\) 0.0329582 0.0740253i 0.0124570 0.0279789i −0.907210 0.420678i \(-0.861792\pi\)
0.919667 + 0.392699i \(0.128459\pi\)
\(8\) −0.954559 + 1.31384i −0.337488 + 0.464512i
\(9\) 0.165050 1.57034i 0.0550165 0.523447i
\(10\) −6.13344 1.30370i −1.93956 0.412267i
\(11\) −0.0769876 + 0.00809172i −0.0232126 + 0.00243975i −0.116128 0.993234i \(-0.537048\pi\)
0.0929150 + 0.995674i \(0.470382\pi\)
\(12\) 0.395514 + 1.21727i 0.114175 + 0.351395i
\(13\) −2.41736 + 2.67514i −0.670456 + 0.741949i
\(14\) 0.114931 + 0.0835025i 0.0307167 + 0.0223170i
\(15\) 3.16841 2.85285i 0.818079 0.736602i
\(16\) −3.34202 3.71169i −0.835505 0.927922i
\(17\) −0.393147 + 3.74054i −0.0953521 + 0.907215i 0.837374 + 0.546630i \(0.184090\pi\)
−0.932726 + 0.360585i \(0.882577\pi\)
\(18\) 2.63279 + 0.855446i 0.620555 + 0.201631i
\(19\) 1.72739 + 1.55535i 0.396291 + 0.356822i 0.843053 0.537831i \(-0.180756\pi\)
−0.446762 + 0.894653i \(0.647423\pi\)
\(20\) 1.56194 3.50817i 0.349260 0.784450i
\(21\) −0.0918660 + 0.0298491i −0.0200468 + 0.00651360i
\(22\) 0.0141864 0.134974i 0.00302454 0.0287766i
\(23\) 1.36132 0.606098i 0.283855 0.126380i −0.259871 0.965643i \(-0.583680\pi\)
0.543725 + 0.839263i \(0.317013\pi\)
\(24\) 1.92529 0.202356i 0.392999 0.0413058i
\(25\) −7.79200 −1.55840
\(26\) −3.70639 5.12061i −0.726884 1.00424i
\(27\) −4.41597 + 3.20839i −0.849853 + 0.617454i
\(28\) −0.0646554 + 0.0582160i −0.0122187 + 0.0110018i
\(29\) −4.71782 1.00280i −0.876077 0.186216i −0.252140 0.967691i \(-0.581134\pi\)
−0.623937 + 0.781475i \(0.714468\pi\)
\(30\) 3.73739 + 6.47334i 0.682350 + 1.18186i
\(31\) −0.935150 5.48867i −0.167958 0.985794i
\(32\) 4.77048 2.75424i 0.843309 0.486885i
\(33\) 0.0685769 + 0.0617470i 0.0119377 + 0.0107488i
\(34\) −6.27129 2.03767i −1.07552 0.349457i
\(35\) 0.264758 + 0.117878i 0.0447523 + 0.0199250i
\(36\) −0.847678 + 1.46822i −0.141280 + 0.244704i
\(37\) −9.56193 5.52058i −1.57197 0.907578i −0.995927 0.0901597i \(-0.971262\pi\)
−0.576044 0.817418i \(-0.695404\pi\)
\(38\) −3.29690 + 2.39534i −0.534827 + 0.388575i
\(39\) 4.29803 + 0.00767347i 0.688235 + 0.00122874i
\(40\) −4.69906 3.41407i −0.742987 0.539811i
\(41\) 0.179754 0.845678i 0.0280729 0.132073i −0.961879 0.273474i \(-0.911827\pi\)
0.989952 + 0.141401i \(0.0451607\pi\)
\(42\) −0.0177016 0.168420i −0.00273142 0.0259877i
\(43\) −4.87542 + 5.41470i −0.743494 + 0.825734i −0.989651 0.143496i \(-0.954166\pi\)
0.246157 + 0.969230i \(0.420832\pi\)
\(44\) 0.0790485 + 0.0256844i 0.0119170 + 0.00387207i
\(45\) 5.61647 + 0.590315i 0.837254 + 0.0879989i
\(46\) 0.543174 + 2.55543i 0.0800867 + 0.376778i
\(47\) 11.4478 + 3.71960i 1.66983 + 0.542560i 0.982896 0.184162i \(-0.0589572\pi\)
0.686932 + 0.726722i \(0.258957\pi\)
\(48\) −0.622344 + 5.92121i −0.0898277 + 0.854653i
\(49\) 4.67952 + 5.19713i 0.668503 + 0.742448i
\(50\) 2.84026 13.3624i 0.401673 1.88972i
\(51\) 3.62724 2.63534i 0.507915 0.369022i
\(52\) 3.53938 1.56827i 0.490824 0.217480i
\(53\) 5.44280 + 3.95443i 0.747626 + 0.543182i 0.895090 0.445885i \(-0.147111\pi\)
−0.147464 + 0.989067i \(0.547111\pi\)
\(54\) −3.89235 8.74236i −0.529682 1.18968i
\(55\) −0.0289408 0.275353i −0.00390237 0.0371286i
\(56\) 0.0657967 + 0.113963i 0.00879246 + 0.0152290i
\(57\) 2.77087i 0.367010i
\(58\) 3.43938 7.72498i 0.451613 1.01434i
\(59\) 1.92245 + 9.04442i 0.250282 + 1.17748i 0.906266 + 0.422709i \(0.138921\pi\)
−0.655984 + 0.754775i \(0.727746\pi\)
\(60\) −4.35366 + 1.41459i −0.562056 + 0.182623i
\(61\) 0.787045 + 1.36320i 0.100771 + 0.174540i 0.912002 0.410185i \(-0.134536\pi\)
−0.811232 + 0.584725i \(0.801202\pi\)
\(62\) 9.75330 + 0.397000i 1.23867 + 0.0504190i
\(63\) −0.110805 0.0639735i −0.0139602 0.00805990i
\(64\) −0.102503 0.315473i −0.0128129 0.0394342i
\(65\) −9.56786 8.64592i −1.18675 1.07239i
\(66\) −0.130886 + 0.0950941i −0.0161109 + 0.0117053i
\(67\) 10.3712 + 5.98779i 1.26704 + 0.731526i 0.974427 0.224705i \(-0.0721420\pi\)
0.292613 + 0.956231i \(0.405475\pi\)
\(68\) 2.01916 3.49729i 0.244860 0.424109i
\(69\) −1.62277 0.722506i −0.195359 0.0869795i
\(70\) −0.298654 + 0.411062i −0.0356960 + 0.0491313i
\(71\) 4.26214 + 0.447969i 0.505823 + 0.0531641i 0.354003 0.935244i \(-0.384820\pi\)
0.151819 + 0.988408i \(0.451487\pi\)
\(72\) 1.90563 + 1.71583i 0.224580 + 0.202213i
\(73\) 4.60271 + 6.33509i 0.538706 + 0.741466i 0.988426 0.151704i \(-0.0484761\pi\)
−0.449720 + 0.893170i \(0.648476\pi\)
\(74\) 12.9526 14.3853i 1.50571 1.67226i
\(75\) 6.21524 + 6.90272i 0.717674 + 0.797058i
\(76\) −1.01511 2.27997i −0.116441 0.261530i
\(77\) −0.00193838 + 0.00596572i −0.000220899 + 0.000679857i
\(78\) −1.57983 + 7.36782i −0.178881 + 0.834242i
\(79\) −0.437356 0.317758i −0.0492064 0.0357506i 0.562910 0.826518i \(-0.309682\pi\)
−0.612117 + 0.790768i \(0.709682\pi\)
\(80\) 13.2752 11.9530i 1.48421 1.33639i
\(81\) 1.73113 + 0.367964i 0.192348 + 0.0408849i
\(82\) 1.38472 + 0.616516i 0.152916 + 0.0680828i
\(83\) −6.28282 + 2.04141i −0.689629 + 0.224074i −0.632806 0.774310i \(-0.718097\pi\)
−0.0568228 + 0.998384i \(0.518097\pi\)
\(84\) 0.103144 + 0.0108409i 0.0112539 + 0.00118284i
\(85\) −13.3784 1.40613i −1.45109 0.152516i
\(86\) −7.50845 10.3345i −0.809656 1.11440i
\(87\) 2.87478 + 4.97927i 0.308209 + 0.533834i
\(88\) 0.0628580 0.108873i 0.00670068 0.0116059i
\(89\) 10.3155 1.08420i 1.09344 0.114925i 0.459404 0.888227i \(-0.348063\pi\)
0.634038 + 0.773302i \(0.281396\pi\)
\(90\) −3.05958 + 9.41642i −0.322508 + 0.992578i
\(91\) 0.118356 + 0.267114i 0.0124071 + 0.0280011i
\(92\) −1.59997 −0.166808
\(93\) −4.11635 + 5.20643i −0.426846 + 0.539882i
\(94\) −10.5515 + 18.2758i −1.08831 + 1.88500i
\(95\) −5.56285 + 6.17817i −0.570736 + 0.633867i
\(96\) −6.24505 2.02914i −0.637382 0.207098i
\(97\) 6.21335 13.9554i 0.630870 1.41696i −0.261300 0.965258i \(-0.584151\pi\)
0.892170 0.451700i \(-0.149182\pi\)
\(98\) −10.6182 + 6.13043i −1.07260 + 0.619267i
\(99\) 0.122232i 0.0122848i
\(100\) 7.64293 + 3.40285i 0.764293 + 0.340285i
\(101\) −11.9811 + 5.33433i −1.19216 + 0.530786i −0.904305 0.426887i \(-0.859610\pi\)
−0.287859 + 0.957673i \(0.592944\pi\)
\(102\) 3.19714 + 7.18090i 0.316565 + 0.711016i
\(103\) 0.852050 + 2.62234i 0.0839550 + 0.258387i 0.984218 0.176959i \(-0.0566260\pi\)
−0.900263 + 0.435346i \(0.856626\pi\)
\(104\) −1.20718 5.72960i −0.118373 0.561833i
\(105\) −0.106758 0.328567i −0.0104185 0.0320649i
\(106\) −8.76534 + 7.89235i −0.851365 + 0.766572i
\(107\) 14.3312 6.38065i 1.38545 0.616840i 0.427559 0.903987i \(-0.359373\pi\)
0.957887 + 0.287147i \(0.0927068\pi\)
\(108\) 5.73263 1.21851i 0.551622 0.117251i
\(109\) 13.1387 + 4.26902i 1.25846 + 0.408898i 0.860945 0.508698i \(-0.169873\pi\)
0.397514 + 0.917596i \(0.369873\pi\)
\(110\) 0.482748 + 0.0507388i 0.0460282 + 0.00483776i
\(111\) 2.73648 + 12.8741i 0.259735 + 1.22196i
\(112\) −0.384906 + 0.125064i −0.0363702 + 0.0118174i
\(113\) 2.66380 + 1.18600i 0.250589 + 0.111570i 0.528188 0.849128i \(-0.322872\pi\)
−0.277598 + 0.960697i \(0.589538\pi\)
\(114\) 4.75171 + 1.01001i 0.445039 + 0.0945959i
\(115\) 2.16777 + 4.86888i 0.202145 + 0.454026i
\(116\) 4.18963 + 3.04394i 0.388997 + 0.282623i
\(117\) 3.80189 + 4.23762i 0.351485 + 0.391768i
\(118\) −16.2109 −1.49233
\(119\) 0.263938 + 0.152384i 0.0241951 + 0.0139691i
\(120\) 0.723746 + 6.88598i 0.0660687 + 0.628601i
\(121\) −10.7538 + 2.28578i −0.977615 + 0.207798i
\(122\) −2.62462 + 0.852791i −0.237622 + 0.0772081i
\(123\) −0.892544 + 0.515310i −0.0804779 + 0.0464640i
\(124\) −1.47970 + 5.79206i −0.132881 + 0.520142i
\(125\) 9.98583i 0.893160i
\(126\) 0.150097 0.166699i 0.0133717 0.0148508i
\(127\) 2.01098 + 2.23342i 0.178445 + 0.198184i 0.825731 0.564064i \(-0.190763\pi\)
−0.647286 + 0.762247i \(0.724096\pi\)
\(128\) 11.5350 1.21237i 1.01956 0.107160i
\(129\) 8.68559 0.764723
\(130\) 18.3143 13.2563i 1.60627 1.16265i
\(131\) 0.750616 0.545354i 0.0655816 0.0476478i −0.554511 0.832176i \(-0.687095\pi\)
0.620093 + 0.784528i \(0.287095\pi\)
\(132\) −0.0402994 0.0905140i −0.00350762 0.00787824i
\(133\) 0.172067 0.0766092i 0.0149201 0.00664286i
\(134\) −14.0488 + 15.6027i −1.21363 + 1.34787i
\(135\) −11.4751 15.7941i −0.987618 1.35934i
\(136\) −4.53919 4.08710i −0.389232 0.350466i
\(137\) 2.58265 + 12.1504i 0.220651 + 1.03808i 0.939403 + 0.342815i \(0.111380\pi\)
−0.718752 + 0.695266i \(0.755286\pi\)
\(138\) 1.83053 2.51951i 0.155825 0.214475i
\(139\) 4.08675 0.868665i 0.346633 0.0736792i −0.0313052 0.999510i \(-0.509966\pi\)
0.377939 + 0.925831i \(0.376633\pi\)
\(140\) −0.208215 0.231246i −0.0175974 0.0195438i
\(141\) −5.83614 13.1082i −0.491492 1.10391i
\(142\) −2.32181 + 7.14578i −0.194842 + 0.599661i
\(143\) 0.164461 0.225513i 0.0137529 0.0188583i
\(144\) −6.38022 + 4.63550i −0.531685 + 0.386292i
\(145\) 3.58662 16.8737i 0.297852 1.40128i
\(146\) −12.5417 + 5.58391i −1.03796 + 0.462128i
\(147\) 0.871412 8.29093i 0.0718728 0.683824i
\(148\) 6.96811 + 9.59078i 0.572775 + 0.788357i
\(149\) −7.21825 + 4.16746i −0.591342 + 0.341412i −0.765628 0.643283i \(-0.777572\pi\)
0.174286 + 0.984695i \(0.444238\pi\)
\(150\) −14.1029 + 8.14231i −1.15150 + 0.664817i
\(151\) 7.57038 + 10.4197i 0.616069 + 0.847946i 0.997059 0.0766330i \(-0.0244170\pi\)
−0.380991 + 0.924579i \(0.624417\pi\)
\(152\) −3.69237 + 0.784839i −0.299491 + 0.0636588i
\(153\) 5.80904 + 1.23475i 0.469633 + 0.0998237i
\(154\) −0.00952396 0.00549866i −0.000767463 0.000443095i
\(155\) 19.6307 3.34465i 1.57678 0.268649i
\(156\) −4.21245 1.88452i −0.337266 0.150883i
\(157\) −1.99901 6.15233i −0.159539 0.491010i 0.839054 0.544049i \(-0.183109\pi\)
−0.998592 + 0.0530389i \(0.983109\pi\)
\(158\) 0.704339 0.634190i 0.0560342 0.0504534i
\(159\) −0.838296 7.97586i −0.0664812 0.632527i
\(160\) 9.85077 + 17.0620i 0.778772 + 1.34887i
\(161\) 0.120748i 0.00951628i
\(162\) −1.26203 + 2.83457i −0.0991545 + 0.222705i
\(163\) −14.3810 1.51151i −1.12641 0.118390i −0.477052 0.878875i \(-0.658295\pi\)
−0.649356 + 0.760485i \(0.724961\pi\)
\(164\) −0.545633 + 0.750999i −0.0426068 + 0.0586432i
\(165\) −0.220844 + 0.245272i −0.0171926 + 0.0190944i
\(166\) −1.21063 11.5184i −0.0939635 0.894003i
\(167\) 0.173434 0.815940i 0.0134207 0.0631394i −0.970928 0.239373i \(-0.923058\pi\)
0.984348 + 0.176234i \(0.0563914\pi\)
\(168\) 0.0484747 0.149190i 0.00373990 0.0115102i
\(169\) −1.31270 12.9336i −0.100977 0.994889i
\(170\) 7.28790 22.4298i 0.558956 1.72029i
\(171\) 2.72754 2.45589i 0.208580 0.187806i
\(172\) 7.14681 3.18197i 0.544939 0.242623i
\(173\) −10.7312 + 2.28099i −0.815878 + 0.173420i −0.596906 0.802311i \(-0.703604\pi\)
−0.218972 + 0.975731i \(0.570270\pi\)
\(174\) −9.58676 + 3.11493i −0.726770 + 0.236142i
\(175\) −0.256810 + 0.576805i −0.0194130 + 0.0436024i
\(176\) 0.287328 + 0.258711i 0.0216582 + 0.0195011i
\(177\) 6.47878 8.91728i 0.486975 0.670264i
\(178\) −1.90082 + 18.0851i −0.142473 + 1.35554i
\(179\) −2.20457 20.9751i −0.164777 1.56775i −0.694445 0.719546i \(-0.744350\pi\)
0.529668 0.848205i \(-0.322317\pi\)
\(180\) −5.25123 3.03180i −0.391403 0.225977i
\(181\) −19.8268 −1.47371 −0.736856 0.676050i \(-0.763690\pi\)
−0.736856 + 0.676050i \(0.763690\pi\)
\(182\) −0.501211 + 0.105601i −0.0371522 + 0.00782765i
\(183\) 0.579843 1.78457i 0.0428632 0.131919i
\(184\) −0.503145 + 2.36711i −0.0370923 + 0.174506i
\(185\) 19.7449 34.1991i 1.45167 2.51437i
\(186\) −7.42797 8.95686i −0.544646 0.656749i
\(187\) 0.291157i 0.0212915i
\(188\) −9.60437 8.64781i −0.700471 0.630707i
\(189\) 0.0919596 + 0.432636i 0.00668908 + 0.0314696i
\(190\) −8.56713 11.7916i −0.621525 0.855456i
\(191\) −1.99636 3.45780i −0.144452 0.250197i 0.784717 0.619855i \(-0.212808\pi\)
−0.929168 + 0.369657i \(0.879475\pi\)
\(192\) −0.197708 + 0.342441i −0.0142684 + 0.0247135i
\(193\) −0.912747 + 0.0959336i −0.0657010 + 0.00690545i −0.137322 0.990526i \(-0.543849\pi\)
0.0716209 + 0.997432i \(0.477183\pi\)
\(194\) 21.6671 + 15.7421i 1.55561 + 1.13021i
\(195\) −0.0274448 + 15.3723i −0.00196537 + 1.10083i
\(196\) −2.32035 7.14131i −0.165739 0.510094i
\(197\) −9.56120 + 1.00492i −0.681207 + 0.0715978i −0.438811 0.898579i \(-0.644600\pi\)
−0.242397 + 0.970177i \(0.577934\pi\)
\(198\) −0.209614 0.0445549i −0.0148966 0.00316638i
\(199\) 12.4118 2.63821i 0.879850 0.187018i 0.254228 0.967144i \(-0.418179\pi\)
0.625622 + 0.780127i \(0.284845\pi\)
\(200\) 7.43792 10.2374i 0.525940 0.723895i
\(201\) −2.96807 13.9637i −0.209351 0.984921i
\(202\) −4.78053 22.4906i −0.336357 1.58243i
\(203\) −0.229724 + 0.316188i −0.0161234 + 0.0221920i
\(204\) −4.70873 + 1.00087i −0.329677 + 0.0700751i
\(205\) 3.02464 + 0.642908i 0.211250 + 0.0449026i
\(206\) −4.80759 + 0.505298i −0.334961 + 0.0352058i
\(207\) −0.727097 2.23777i −0.0505367 0.155536i
\(208\) 18.0081 + 0.0321508i 1.24864 + 0.00222925i
\(209\) −0.145573 0.105765i −0.0100695 0.00731592i
\(210\) 0.602369 0.0633115i 0.0415674 0.00436891i
\(211\) 7.49459 12.9810i 0.515949 0.893650i −0.483879 0.875135i \(-0.660773\pi\)
0.999829 0.0185155i \(-0.00589401\pi\)
\(212\) −3.61174 6.25571i −0.248055 0.429644i
\(213\) −3.00282 4.13303i −0.205750 0.283191i
\(214\) 5.71822 + 26.9021i 0.390889 + 1.83899i
\(215\) −19.3662 17.4374i −1.32076 1.18922i
\(216\) 8.86446i 0.603150i
\(217\) −0.437121 0.111672i −0.0296737 0.00758078i
\(218\) −12.1101 + 20.9753i −0.820197 + 1.42062i
\(219\) 1.94076 9.13056i 0.131144 0.616986i
\(220\) −0.0918627 + 0.282724i −0.00619338 + 0.0190613i
\(221\) −9.05608 10.0940i −0.609178 0.678994i
\(222\) −23.0751 −1.54870
\(223\) 14.5832 + 8.41960i 0.976562 + 0.563818i 0.901230 0.433340i \(-0.142665\pi\)
0.0753317 + 0.997159i \(0.475998\pi\)
\(224\) −0.0466569 0.443911i −0.00311740 0.0296600i
\(225\) −1.28607 + 12.2361i −0.0857377 + 0.815740i
\(226\) −3.00484 + 4.13580i −0.199879 + 0.275109i
\(227\) 0.135620 + 0.122113i 0.00900139 + 0.00810489i 0.673619 0.739079i \(-0.264739\pi\)
−0.664618 + 0.747184i \(0.731406\pi\)
\(228\) −1.21007 + 2.71786i −0.0801388 + 0.179995i
\(229\) 3.61666 1.17512i 0.238995 0.0776543i −0.187070 0.982347i \(-0.559899\pi\)
0.426066 + 0.904692i \(0.359899\pi\)
\(230\) −9.13974 + 1.94271i −0.602657 + 0.128099i
\(231\) 0.00683101 0.00304136i 0.000449448 0.000200107i
\(232\) 5.82096 5.24121i 0.382165 0.344103i
\(233\) −4.80972 + 14.8028i −0.315095 + 0.969763i 0.660620 + 0.750720i \(0.270293\pi\)
−0.975715 + 0.219043i \(0.929707\pi\)
\(234\) −8.65285 + 4.97515i −0.565655 + 0.325236i
\(235\) −13.3035 + 40.9439i −0.867824 + 2.67089i
\(236\) 2.06413 9.71096i 0.134363 0.632129i
\(237\) 0.0673613 + 0.640900i 0.00437559 + 0.0416309i
\(238\) −0.357529 + 0.397077i −0.0231752 + 0.0257387i
\(239\) −17.6239 + 24.2572i −1.14000 + 1.56907i −0.372482 + 0.928039i \(0.621493\pi\)
−0.767515 + 0.641031i \(0.778507\pi\)
\(240\) −21.1777 2.22587i −1.36702 0.143679i
\(241\) 3.23784 7.27230i 0.208567 0.468450i −0.778725 0.627366i \(-0.784133\pi\)
0.987292 + 0.158916i \(0.0507998\pi\)
\(242\) 19.2746i 1.23902i
\(243\) 7.13279 + 12.3544i 0.457569 + 0.792533i
\(244\) −0.176663 1.68084i −0.0113097 0.107604i
\(245\) −18.5880 + 16.7367i −1.18754 + 1.06927i
\(246\) −0.558357 1.71844i −0.0355995 0.109564i
\(247\) −8.33651 + 0.861157i −0.530439 + 0.0547941i
\(248\) 8.10388 + 4.01062i 0.514597 + 0.254675i
\(249\) 6.81989 + 3.93746i 0.432193 + 0.249527i
\(250\) 17.1245 + 3.63993i 1.08305 + 0.230210i
\(251\) 12.0468 2.56062i 0.760386 0.161625i 0.188629 0.982048i \(-0.439596\pi\)
0.571756 + 0.820423i \(0.306262\pi\)
\(252\) 0.0807477 + 0.111140i 0.00508663 + 0.00700114i
\(253\) −0.0999003 + 0.0576775i −0.00628068 + 0.00362615i
\(254\) −4.56307 + 2.63449i −0.286313 + 0.165303i
\(255\) 9.42554 + 12.9731i 0.590250 + 0.812410i
\(256\) −2.05618 + 19.5633i −0.128511 + 1.22270i
\(257\) 10.9642 4.88156i 0.683925 0.304503i −0.0352033 0.999380i \(-0.511208\pi\)
0.719129 + 0.694877i \(0.244541\pi\)
\(258\) −3.16598 + 14.8948i −0.197105 + 0.927308i
\(259\) −0.723807 + 0.525877i −0.0449752 + 0.0326764i
\(260\) 5.60905 + 12.6589i 0.347859 + 0.785073i
\(261\) −2.35342 + 7.24308i −0.145673 + 0.448335i
\(262\) 0.661613 + 1.48601i 0.0408746 + 0.0918058i
\(263\) −19.1918 21.3146i −1.18342 1.31432i −0.938705 0.344721i \(-0.887973\pi\)
−0.244711 0.969596i \(-0.578693\pi\)
\(264\) −0.146586 + 0.0311579i −0.00902176 + 0.00191763i
\(265\) −14.1434 + 19.4667i −0.868820 + 1.19583i
\(266\) 0.0686557 + 0.323000i 0.00420955 + 0.0198044i
\(267\) −9.18858 8.27343i −0.562332 0.506326i
\(268\) −7.55782 10.4025i −0.461668 0.635431i
\(269\) 10.7963 11.9905i 0.658263 0.731075i −0.317897 0.948125i \(-0.602977\pi\)
0.976161 + 0.217050i \(0.0696434\pi\)
\(270\) 31.2678 13.9213i 1.90290 0.847226i
\(271\) 0.832979 + 1.87090i 0.0505999 + 0.113649i 0.937076 0.349124i \(-0.113521\pi\)
−0.886476 + 0.462774i \(0.846854\pi\)
\(272\) 15.1976 11.0417i 0.921492 0.669503i
\(273\) 0.142223 0.317910i 0.00860775 0.0192408i
\(274\) −21.7780 −1.31566
\(275\) 0.599887 0.0630507i 0.0361745 0.00380210i
\(276\) 1.27620 + 1.41737i 0.0768185 + 0.0853156i
\(277\) 2.39747 2.66266i 0.144050 0.159984i −0.666802 0.745235i \(-0.732337\pi\)
0.810852 + 0.585251i \(0.199004\pi\)
\(278\) 7.32494i 0.439320i
\(279\) −8.77344 + 0.562603i −0.525252 + 0.0336822i
\(280\) −0.407600 + 0.235328i −0.0243588 + 0.0140635i
\(281\) 8.30828 2.69952i 0.495630 0.161040i −0.0505270 0.998723i \(-0.516090\pi\)
0.546157 + 0.837683i \(0.316090\pi\)
\(282\) 24.6064 5.23024i 1.46529 0.311456i
\(283\) 0.623499 + 5.93220i 0.0370632 + 0.352633i 0.997299 + 0.0734437i \(0.0233989\pi\)
−0.960236 + 0.279189i \(0.909934\pi\)
\(284\) −3.98497 2.30072i −0.236464 0.136523i
\(285\) 9.91025 0.587033
\(286\) 0.326781 + 0.364233i 0.0193230 + 0.0215375i
\(287\) −0.0566772 0.0411784i −0.00334555 0.00243068i
\(288\) −3.53773 7.94587i −0.208463 0.468215i
\(289\) 2.79141 + 0.593333i 0.164201 + 0.0349019i
\(290\) 27.6291 + 12.3013i 1.62244 + 0.722355i
\(291\) −17.3188 + 5.62721i −1.01524 + 0.329873i
\(292\) −1.74805 8.22395i −0.102297 0.481270i
\(293\) −8.40749 0.883663i −0.491171 0.0516242i −0.144294 0.989535i \(-0.546091\pi\)
−0.346877 + 0.937911i \(0.612758\pi\)
\(294\) 13.9003 + 4.51649i 0.810684 + 0.263407i
\(295\) −32.3482 + 6.87582i −1.88338 + 0.400326i
\(296\) 16.3806 7.29310i 0.952102 0.423903i
\(297\) 0.314013 0.282739i 0.0182209 0.0164062i
\(298\) −4.51559 13.8976i −0.261581 0.805063i
\(299\) −1.66941 + 5.10687i −0.0965445 + 0.295338i
\(300\) −3.08184 9.48494i −0.177930 0.547613i
\(301\) 0.240140 + 0.539363i 0.0138414 + 0.0310884i
\(302\) −20.6281 + 9.18423i −1.18701 + 0.528493i
\(303\) 14.2822 + 6.35885i 0.820491 + 0.365306i
\(304\) 11.6095i 0.665853i
\(305\) −4.87562 + 2.81494i −0.279177 + 0.161183i
\(306\) −4.23491 + 9.51176i −0.242094 + 0.543751i
\(307\) 7.70396 + 2.50317i 0.439688 + 0.142863i 0.520492 0.853867i \(-0.325749\pi\)
−0.0808037 + 0.996730i \(0.525749\pi\)
\(308\) 0.00450660 0.00500508i 0.000256787 0.000285191i
\(309\) 1.64343 2.84650i 0.0934914 0.161932i
\(310\) −1.41991 + 34.8836i −0.0806452 + 1.98125i
\(311\) 18.8701 1.07003 0.535013 0.844844i \(-0.320307\pi\)
0.535013 + 0.844844i \(0.320307\pi\)
\(312\) −4.11280 + 5.63959i −0.232842 + 0.319279i
\(313\) 2.99199 9.20838i 0.169117 0.520489i −0.830199 0.557467i \(-0.811773\pi\)
0.999316 + 0.0369784i \(0.0117733\pi\)
\(314\) 11.2792 1.18549i 0.636522 0.0669012i
\(315\) 0.228807 0.396305i 0.0128918 0.0223293i
\(316\) 0.290221 + 0.502678i 0.0163262 + 0.0282778i
\(317\) 19.4870 + 26.8216i 1.09450 + 1.50645i 0.842478 + 0.538731i \(0.181096\pi\)
0.252023 + 0.967721i \(0.418904\pi\)
\(318\) 13.9832 + 1.46970i 0.784141 + 0.0824166i
\(319\) 0.371328 + 0.0390281i 0.0207904 + 0.00218516i
\(320\) 1.12832 0.366613i 0.0630749 0.0204943i
\(321\) −17.0836 7.60611i −0.953514 0.424532i
\(322\) 0.207069 + 0.0440139i 0.0115395 + 0.00245280i
\(323\) −6.49697 + 5.84990i −0.361501 + 0.325497i
\(324\) −1.53732 1.11693i −0.0854068 0.0620517i
\(325\) 18.8361 20.8446i 1.04484 1.15625i
\(326\) 7.83408 24.1108i 0.433889 1.33537i
\(327\) −6.69819 15.0444i −0.370411 0.831957i
\(328\) 0.939497 + 1.04342i 0.0518751 + 0.0576131i
\(329\) 0.652642 0.724833i 0.0359813 0.0399613i
\(330\) −0.340113 0.468125i −0.0187226 0.0257694i
\(331\) −3.32920 2.99763i −0.182989 0.164764i 0.572545 0.819873i \(-0.305956\pi\)
−0.755535 + 0.655109i \(0.772623\pi\)
\(332\) 7.05414 + 0.741419i 0.387146 + 0.0406907i
\(333\) −10.2474 + 14.1043i −0.561554 + 0.772913i
\(334\) 1.33603 + 0.594837i 0.0731041 + 0.0325480i
\(335\) −21.4159 + 37.0934i −1.17007 + 2.02663i
\(336\) 0.417808 + 0.241222i 0.0227933 + 0.0131597i
\(337\) −15.8619 + 11.5244i −0.864055 + 0.627773i −0.928985 0.370117i \(-0.879318\pi\)
0.0649303 + 0.997890i \(0.479318\pi\)
\(338\) 22.6580 + 2.46329i 1.23243 + 0.133985i
\(339\) −1.07412 3.30580i −0.0583381 0.179546i
\(340\) 12.5084 + 7.22172i 0.678363 + 0.391653i
\(341\) 0.116408 + 0.414992i 0.00630383 + 0.0224731i
\(342\) 3.21735 + 5.57261i 0.173974 + 0.301332i
\(343\) 1.07840 0.350394i 0.0582283 0.0189195i
\(344\) −2.46016 11.5742i −0.132643 0.624037i
\(345\) 2.58411 5.80400i 0.139124 0.312477i
\(346\) 19.2342i 1.03404i
\(347\) 7.95448 + 13.7776i 0.427019 + 0.739618i 0.996607 0.0823122i \(-0.0262305\pi\)
−0.569588 + 0.821931i \(0.692897\pi\)
\(348\) −0.645284 6.13947i −0.0345909 0.329110i
\(349\) −8.07968 18.1473i −0.432495 0.971401i −0.989979 0.141213i \(-0.954900\pi\)
0.557484 0.830188i \(-0.311767\pi\)
\(350\) −0.895544 0.650651i −0.0478689 0.0347788i
\(351\) 2.09213 19.5692i 0.111670 1.04452i
\(352\) −0.344981 + 0.250643i −0.0183875 + 0.0133593i
\(353\) 6.11992 28.7920i 0.325731 1.53244i −0.445146 0.895458i \(-0.646848\pi\)
0.770877 0.636984i \(-0.219818\pi\)
\(354\) 12.9305 + 14.3608i 0.687249 + 0.763268i
\(355\) −1.60220 + 15.2439i −0.0850359 + 0.809063i
\(356\) −10.5917 3.44144i −0.561357 0.182396i
\(357\) −0.0755349 0.355364i −0.00399773 0.0188078i
\(358\) 36.7734 + 3.86504i 1.94354 + 0.204274i
\(359\) −20.8978 6.79010i −1.10294 0.358368i −0.299708 0.954031i \(-0.596889\pi\)
−0.803234 + 0.595663i \(0.796889\pi\)
\(360\) −6.13683 + 6.81564i −0.323439 + 0.359216i
\(361\) −1.42127 13.5225i −0.0748039 0.711712i
\(362\) 7.22705 34.0006i 0.379845 1.78703i
\(363\) 10.6026 + 7.70323i 0.556492 + 0.404315i
\(364\) 0.000560047 0.313691i 2.93545e−5 0.0164419i
\(365\) −22.6580 + 16.4620i −1.18597 + 0.861661i
\(366\) 2.84898 + 1.64486i 0.148918 + 0.0859781i
\(367\) −5.67969 + 9.83751i −0.296477 + 0.513514i −0.975327 0.220763i \(-0.929145\pi\)
0.678850 + 0.734277i \(0.262479\pi\)
\(368\) −6.79920 3.02720i −0.354433 0.157804i
\(369\) −1.29834 0.421855i −0.0675886 0.0219609i
\(370\) 51.4503 + 46.3261i 2.67477 + 2.40838i
\(371\) 0.472113 0.272574i 0.0245109 0.0141514i
\(372\) 6.31131 3.30917i 0.327226 0.171573i
\(373\) −11.7455 20.3439i −0.608161 1.05337i −0.991543 0.129776i \(-0.958574\pi\)
0.383382 0.923590i \(-0.374759\pi\)
\(374\) 0.499300 + 0.106129i 0.0258182 + 0.00548782i
\(375\) −8.84618 + 7.96514i −0.456815 + 0.411318i
\(376\) −15.8145 + 11.4899i −0.815572 + 0.592547i
\(377\) 14.0873 10.1967i 0.725534 0.525155i
\(378\) −0.775441 −0.0398844
\(379\) −19.5846 + 2.05842i −1.00599 + 0.105734i −0.593169 0.805078i \(-0.702123\pi\)
−0.412822 + 0.910812i \(0.635457\pi\)
\(380\) 8.15451 3.63062i 0.418317 0.186247i
\(381\) 0.374480 3.56294i 0.0191852 0.182535i
\(382\) 6.65741 2.16313i 0.340623 0.110675i
\(383\) −3.65674 + 8.21317i −0.186851 + 0.419673i −0.982545 0.186025i \(-0.940439\pi\)
0.795694 + 0.605698i \(0.207106\pi\)
\(384\) −10.2748 9.25147i −0.524334 0.472112i
\(385\) −0.0213369 0.00693279i −0.00108743 0.000353328i
\(386\) 0.168190 1.60022i 0.00856066 0.0814493i
\(387\) 7.69825 + 8.54977i 0.391324 + 0.434609i
\(388\) −12.1890 + 10.9750i −0.618801 + 0.557171i
\(389\) 0.294793 + 0.214180i 0.0149466 + 0.0108593i 0.595233 0.803553i \(-0.297060\pi\)
−0.580287 + 0.814412i \(0.697060\pi\)
\(390\) −26.3517 5.65041i −1.33437 0.286120i
\(391\) 1.73194 + 5.33036i 0.0875879 + 0.269568i
\(392\) −11.2951 + 1.18716i −0.570487 + 0.0599606i
\(393\) −1.08184 0.229952i −0.0545716 0.0115995i
\(394\) 1.76183 16.7627i 0.0887595 0.844491i
\(395\) 1.13649 1.56424i 0.0571830 0.0787057i
\(396\) 0.0533803 0.119894i 0.00268246 0.00602490i
\(397\) −14.1718 + 8.18210i −0.711263 + 0.410648i −0.811529 0.584313i \(-0.801364\pi\)
0.100265 + 0.994961i \(0.468031\pi\)
\(398\) 22.2465i 1.11511i
\(399\) −0.205114 0.0913228i −0.0102686 0.00457186i
\(400\) 26.0410 + 28.9215i 1.30205 + 1.44607i
\(401\) 0.509157 2.39540i 0.0254261 0.119620i −0.963604 0.267333i \(-0.913858\pi\)
0.989030 + 0.147712i \(0.0471910\pi\)
\(402\) 25.0280 1.24828
\(403\) 16.9435 + 10.7665i 0.844017 + 0.536316i
\(404\) 14.0815 0.700579
\(405\) −1.31606 + 6.19155i −0.0653953 + 0.307661i
\(406\) −0.458488 0.509203i −0.0227544 0.0252713i
\(407\) 0.780821 + 0.347644i 0.0387039 + 0.0172321i
\(408\) 7.28120i 0.360473i
\(409\) 29.0404 16.7665i 1.43596 0.829051i 0.438392 0.898784i \(-0.355548\pi\)
0.997566 + 0.0697333i \(0.0222148\pi\)
\(410\) −2.20502 + 4.95257i −0.108898 + 0.244590i
\(411\) 8.70370 11.9796i 0.429322 0.590911i
\(412\) 0.309456 2.94428i 0.0152458 0.145054i
\(413\) 0.732877 + 0.155778i 0.0360625 + 0.00766532i
\(414\) 4.10256 0.431196i 0.201630 0.0211921i
\(415\) −7.30129 22.4711i −0.358406 1.10306i
\(416\) −4.16403 + 19.4197i −0.204158 + 0.952127i
\(417\) −4.02930 2.92746i −0.197316 0.143358i
\(418\) 0.234438 0.211089i 0.0114667 0.0103247i
\(419\) 8.51752 + 9.45966i 0.416108 + 0.462135i 0.914363 0.404896i \(-0.132692\pi\)
−0.498255 + 0.867031i \(0.666026\pi\)
\(420\) −0.0387734 + 0.368904i −0.00189195 + 0.0180007i
\(421\) 20.6428 + 6.70726i 1.00607 + 0.326892i 0.765289 0.643687i \(-0.222596\pi\)
0.240782 + 0.970579i \(0.422596\pi\)
\(422\) 19.5291 + 17.5841i 0.950661 + 0.855979i
\(423\) 7.73050 17.3630i 0.375870 0.844217i
\(424\) −10.3909 + 3.37622i −0.504629 + 0.163964i
\(425\) 3.06340 29.1463i 0.148597 1.41380i
\(426\) 8.18223 3.64296i 0.396430 0.176502i
\(427\) 0.126851 0.0133326i 0.00613876 0.000645209i
\(428\) −16.8435 −0.814162
\(429\) −0.330957 + 0.0341877i −0.0159787 + 0.00165060i
\(430\) 36.9622 26.8546i 1.78248 1.29505i
\(431\) −17.1512 + 15.4430i −0.826143 + 0.743863i −0.969312 0.245836i \(-0.920938\pi\)
0.143168 + 0.989698i \(0.454271\pi\)
\(432\) 26.6668 + 5.66820i 1.28301 + 0.272711i
\(433\) 1.73396 + 3.00331i 0.0833290 + 0.144330i 0.904678 0.426096i \(-0.140111\pi\)
−0.821349 + 0.570426i \(0.806778\pi\)
\(434\) 0.350839 0.708907i 0.0168408 0.0340286i
\(435\) −17.8088 + 10.2819i −0.853867 + 0.492980i
\(436\) −11.0230 9.92518i −0.527907 0.475330i
\(437\) 3.29423 + 1.07036i 0.157584 + 0.0512022i
\(438\) 14.9504 + 6.65636i 0.714359 + 0.318053i
\(439\) 19.3969 33.5964i 0.925764 1.60347i 0.135435 0.990786i \(-0.456757\pi\)
0.790328 0.612683i \(-0.209910\pi\)
\(440\) 0.389395 + 0.224817i 0.0185637 + 0.0107177i
\(441\) 8.93363 6.49066i 0.425411 0.309079i
\(442\) 20.6110 11.8508i 0.980367 0.563684i
\(443\) 12.5609 + 9.12606i 0.596788 + 0.433592i 0.844737 0.535181i \(-0.179757\pi\)
−0.247949 + 0.968773i \(0.579757\pi\)
\(444\) 2.93815 13.8229i 0.139438 0.656005i
\(445\) 3.87776 + 36.8944i 0.183823 + 1.74896i
\(446\) −19.7544 + 21.9394i −0.935396 + 1.03886i
\(447\) 9.44944 + 3.07031i 0.446943 + 0.145221i
\(448\) −0.0267313 0.00280958i −0.00126294 0.000132740i
\(449\) −2.54883 11.9913i −0.120287 0.565905i −0.996472 0.0839299i \(-0.973253\pi\)
0.876185 0.481975i \(-0.160081\pi\)
\(450\) −20.5147 6.66563i −0.967073 0.314221i
\(451\) −0.00699587 + 0.0665612i −0.000329422 + 0.00313425i
\(452\) −2.09490 2.32662i −0.0985359 0.109435i
\(453\) 3.19210 15.0176i 0.149978 0.705590i
\(454\) −0.258844 + 0.188061i −0.0121481 + 0.00882613i
\(455\) −0.955357 + 0.423310i −0.0447878 + 0.0198451i
\(456\) 3.64047 + 2.64496i 0.170481 + 0.123861i
\(457\) −0.694206 1.55921i −0.0324736 0.0729368i 0.896580 0.442881i \(-0.146044\pi\)
−0.929054 + 0.369944i \(0.879377\pi\)
\(458\) 0.696893 + 6.63049i 0.0325636 + 0.309822i
\(459\) −10.2650 17.7795i −0.479129 0.829875i
\(460\) 5.72243i 0.266810i
\(461\) 5.64532 12.6796i 0.262929 0.590548i −0.733046 0.680179i \(-0.761902\pi\)
0.995975 + 0.0896312i \(0.0285688\pi\)
\(462\) 0.00272561 + 0.0128230i 0.000126807 + 0.000596580i
\(463\) −3.13677 + 1.01920i −0.145778 + 0.0473662i −0.380997 0.924576i \(-0.624419\pi\)
0.235219 + 0.971942i \(0.424419\pi\)
\(464\) 12.0449 + 20.8625i 0.559173 + 0.968515i
\(465\) −18.6213 14.7225i −0.863540 0.682739i
\(466\) −23.6319 13.6439i −1.09473 0.632040i
\(467\) −10.9776 33.7854i −0.507981 1.56340i −0.795701 0.605689i \(-0.792898\pi\)
0.287721 0.957714i \(-0.407102\pi\)
\(468\) −1.87854 5.81688i −0.0868358 0.268885i
\(469\) 0.785063 0.570382i 0.0362509 0.0263378i
\(470\) −65.3649 37.7384i −3.01506 1.74074i
\(471\) −3.85569 + 6.67824i −0.177661 + 0.307717i
\(472\) −13.7180 6.10765i −0.631422 0.281127i
\(473\) 0.331532 0.456315i 0.0152439 0.0209814i
\(474\) −1.12362 0.118098i −0.0516097 0.00542440i
\(475\) −13.4598 12.1193i −0.617579 0.556071i
\(476\) −0.192340 0.264734i −0.00881591 0.0121341i
\(477\) 7.10813 7.89438i 0.325459 0.361459i
\(478\) −35.1743 39.0650i −1.60883 1.78679i
\(479\) 0.832846 + 1.87060i 0.0380537 + 0.0854701i 0.931572 0.363556i \(-0.118438\pi\)
−0.893518 + 0.449026i \(0.851771\pi\)
\(480\) 7.25740 22.3360i 0.331253 1.01949i
\(481\) 37.8830 12.2342i 1.72732 0.557831i
\(482\) 11.2909 + 8.20334i 0.514288 + 0.373652i
\(483\) −0.106967 + 0.0963140i −0.00486719 + 0.00438244i
\(484\) 11.5463 + 2.45423i 0.524830 + 0.111556i
\(485\) 49.9128 + 22.2226i 2.26642 + 1.00908i
\(486\) −23.7863 + 7.72863i −1.07897 + 0.350578i
\(487\) −24.6800 2.59397i −1.11836 0.117544i −0.472738 0.881203i \(-0.656734\pi\)
−0.645620 + 0.763659i \(0.723401\pi\)
\(488\) −2.54231 0.267207i −0.115085 0.0120959i
\(489\) 10.1319 + 13.9454i 0.458182 + 0.630633i
\(490\) −21.9260 37.9770i −0.990517 1.71563i
\(491\) −10.4275 + 18.0609i −0.470586 + 0.815078i −0.999434 0.0336382i \(-0.989291\pi\)
0.528849 + 0.848716i \(0.322624\pi\)
\(492\) 1.10051 0.115668i 0.0496149 0.00521473i
\(493\) 5.60583 17.2530i 0.252474 0.777034i
\(494\) 1.56195 14.6100i 0.0702757 0.657337i
\(495\) −0.437175 −0.0196496
\(496\) −17.2469 + 21.8142i −0.774410 + 0.979488i
\(497\) 0.173633 0.300742i 0.00778852 0.0134901i
\(498\) −9.23821 + 10.2601i −0.413974 + 0.459765i
\(499\) 29.5244 + 9.59305i 1.32169 + 0.429444i 0.883076 0.469231i \(-0.155469\pi\)
0.438616 + 0.898674i \(0.355469\pi\)
\(500\) −4.36092 + 9.79480i −0.195026 + 0.438037i
\(501\) −0.861158 + 0.497190i −0.0384737 + 0.0222128i
\(502\) 21.5922i 0.963707i
\(503\) 7.60562 + 3.38624i 0.339118 + 0.150985i 0.569228 0.822180i \(-0.307242\pi\)
−0.230110 + 0.973165i \(0.573909\pi\)
\(504\) 0.189821 0.0845138i 0.00845530 0.00376454i
\(505\) −19.0787 42.8515i −0.848992 1.90687i
\(506\) −0.0624955 0.192341i −0.00277827 0.00855062i
\(507\) −10.4104 + 11.4793i −0.462343 + 0.509812i
\(508\) −0.997148 3.06891i −0.0442413 0.136161i
\(509\) −30.4887 + 27.4521i −1.35139 + 1.21679i −0.397145 + 0.917756i \(0.629999\pi\)
−0.954241 + 0.299038i \(0.903334\pi\)
\(510\) −25.6832 + 11.4349i −1.13727 + 0.506345i
\(511\) 0.620654 0.131924i 0.0274561 0.00583598i
\(512\) −10.7376 3.48885i −0.474538 0.154187i
\(513\) −12.6183 1.32623i −0.557110 0.0585546i
\(514\) 4.37476 + 20.5816i 0.192962 + 0.907817i
\(515\) −9.37904 + 3.04743i −0.413290 + 0.134286i
\(516\) −8.51943 3.79309i −0.375047 0.166982i
\(517\) −0.911433 0.193731i −0.0400848 0.00852029i
\(518\) −0.637983 1.43293i −0.0280313 0.0629594i
\(519\) 10.5803 + 7.68707i 0.464426 + 0.337425i
\(520\) 20.4924 4.31758i 0.898652 0.189338i
\(521\) −4.31189 −0.188907 −0.0944536 0.995529i \(-0.530110\pi\)
−0.0944536 + 0.995529i \(0.530110\pi\)
\(522\) −11.5632 6.67601i −0.506107 0.292201i
\(523\) −2.10679 20.0447i −0.0921234 0.876495i −0.938817 0.344415i \(-0.888077\pi\)
0.846694 0.532080i \(-0.178589\pi\)
\(524\) −0.974419 + 0.207119i −0.0425677 + 0.00904804i
\(525\) 0.715820 0.232584i 0.0312409 0.0101508i
\(526\) 43.5477 25.1423i 1.89877 1.09626i
\(527\) 20.8983 1.34012i 0.910342 0.0583764i
\(528\) 0.460896i 0.0200579i
\(529\) −13.9042 + 15.4421i −0.604529 + 0.671398i
\(530\) −28.2277 31.3500i −1.22613 1.36176i
\(531\) 14.5201 1.52613i 0.630120 0.0662283i
\(532\) −0.202231 −0.00876784
\(533\) 1.82777 + 2.52518i 0.0791695 + 0.109378i
\(534\) 17.5373 12.7416i 0.758914 0.551383i
\(535\) 22.8210 + 51.2567i 0.986636 + 2.21602i
\(536\) −17.7669 + 7.91033i −0.767412 + 0.341674i
\(537\) −16.8228 + 18.6836i −0.725958 + 0.806258i
\(538\) 16.6270 + 22.8851i 0.716841 + 0.986647i
\(539\) −0.402319 0.362249i −0.0173291 0.0156032i
\(540\) 4.35810 + 20.5033i 0.187543 + 0.882320i
\(541\) 6.85191 9.43085i 0.294587 0.405464i −0.635911 0.771763i \(-0.719375\pi\)
0.930497 + 0.366299i \(0.119375\pi\)
\(542\) −3.51201 + 0.746501i −0.150854 + 0.0320650i
\(543\) 15.8147 + 17.5640i 0.678674 + 0.753744i
\(544\) 8.42684 + 18.9270i 0.361298 + 0.811488i
\(545\) −15.2685 + 46.9918i −0.654033 + 2.01291i
\(546\) 0.493337 + 0.359778i 0.0211129 + 0.0153971i
\(547\) 32.4808 23.5987i 1.38878 1.00901i 0.392779 0.919633i \(-0.371514\pi\)
0.995998 0.0893727i \(-0.0284862\pi\)
\(548\) 2.77298 13.0459i 0.118456 0.557292i
\(549\) 2.27060 1.01093i 0.0969067 0.0431456i
\(550\) −0.110540 + 1.05172i −0.00471345 + 0.0448455i
\(551\) −6.58981 9.07009i −0.280735 0.386399i
\(552\) 2.49829 1.44239i 0.106334 0.0613921i
\(553\) −0.0379366 + 0.0219027i −0.00161323 + 0.000931398i
\(554\) 3.69225 + 5.08195i 0.156869 + 0.215911i
\(555\) −46.0455 + 9.78726i −1.95452 + 0.415446i
\(556\) −4.38792 0.932682i −0.186089 0.0395545i
\(557\) 32.7196 + 18.8907i 1.38637 + 0.800423i 0.992904 0.118915i \(-0.0379417\pi\)
0.393469 + 0.919338i \(0.371275\pi\)
\(558\) 2.23320 15.2505i 0.0945391 0.645605i
\(559\) −2.69939 26.1317i −0.114172 1.10525i
\(560\) −0.447301 1.37665i −0.0189019 0.0581741i
\(561\) −0.257928 + 0.232239i −0.0108897 + 0.00980515i
\(562\) 1.60092 + 15.2317i 0.0675307 + 0.642512i
\(563\) 2.51944 + 4.36380i 0.106182 + 0.183912i 0.914220 0.405217i \(-0.132804\pi\)
−0.808039 + 0.589129i \(0.799471\pi\)
\(564\) 15.4061i 0.648715i
\(565\) −4.24184 + 9.52732i −0.178455 + 0.400818i
\(566\) −10.4003 1.09312i −0.437158 0.0459471i
\(567\) 0.0842937 0.116020i 0.00354000 0.00487239i
\(568\) −4.65702 + 5.17214i −0.195404 + 0.217018i
\(569\) 0.446526 + 4.24841i 0.0187194 + 0.178103i 0.999887 0.0150572i \(-0.00479304\pi\)
−0.981167 + 0.193160i \(0.938126\pi\)
\(570\) −3.61238 + 16.9949i −0.151306 + 0.711839i
\(571\) 4.18260 12.8727i 0.175036 0.538707i −0.824599 0.565718i \(-0.808599\pi\)
0.999635 + 0.0270113i \(0.00859901\pi\)
\(572\) −0.259798 + 0.149377i −0.0108627 + 0.00624576i
\(573\) −1.47079 + 4.52661i −0.0614430 + 0.189102i
\(574\) 0.0912756 0.0821849i 0.00380977 0.00343033i
\(575\) −10.6074 + 4.72272i −0.442359 + 0.196951i
\(576\) −0.512319 + 0.108897i −0.0213466 + 0.00453737i
\(577\) −38.6811 + 12.5683i −1.61032 + 0.523224i −0.969630 0.244578i \(-0.921351\pi\)
−0.640688 + 0.767802i \(0.721351\pi\)
\(578\) −2.03499 + 4.57067i −0.0846446 + 0.190115i
\(579\) 0.813032 + 0.732058i 0.0337885 + 0.0304233i
\(580\) −10.8869 + 14.9846i −0.452056 + 0.622201i
\(581\) −0.0559542 + 0.532369i −0.00232137 + 0.0220864i
\(582\) −3.33715 31.7509i −0.138329 1.31612i
\(583\) −0.451026 0.260400i −0.0186796 0.0107847i
\(584\) −12.7168 −0.526226
\(585\) −15.1562 + 13.5978i −0.626633 + 0.562200i
\(586\) 4.58000 14.0958i 0.189198 0.582291i
\(587\) −6.54326 + 30.7836i −0.270069 + 1.27058i 0.608728 + 0.793379i \(0.291680\pi\)
−0.878797 + 0.477196i \(0.841653\pi\)
\(588\) −4.47548 + 7.75176i −0.184566 + 0.319677i
\(589\) 6.92143 10.9356i 0.285193 0.450592i
\(590\) 57.9797i 2.38699i
\(591\) 8.51667 + 7.66844i 0.350329 + 0.315438i
\(592\) 11.4655 + 53.9408i 0.471228 + 2.21695i
\(593\) 12.1057 + 16.6620i 0.497121 + 0.684228i 0.981681 0.190530i \(-0.0610205\pi\)
−0.484561 + 0.874758i \(0.661020\pi\)
\(594\) 0.370403 + 0.641557i 0.0151978 + 0.0263234i
\(595\) −0.545017 + 0.943996i −0.0223435 + 0.0387001i
\(596\) 8.90014 0.935443i 0.364564 0.0383172i
\(597\) −12.2373 8.89094i −0.500840 0.363882i
\(598\) −8.14918 4.72435i −0.333245 0.193193i
\(599\) 8.02164 + 24.6881i 0.327755 + 1.00873i 0.970181 + 0.242380i \(0.0779280\pi\)
−0.642426 + 0.766348i \(0.722072\pi\)
\(600\) −15.0019 + 1.57676i −0.612449 + 0.0643710i
\(601\) −30.8354 6.55426i −1.25780 0.267354i −0.469659 0.882848i \(-0.655623\pi\)
−0.788142 + 0.615494i \(0.788957\pi\)
\(602\) −1.01248 + 0.215209i −0.0412656 + 0.00877126i
\(603\) 11.1146 15.2980i 0.452623 0.622982i
\(604\) −2.87514 13.5265i −0.116988 0.550384i
\(605\) −8.17531 38.4618i −0.332374 1.56369i
\(606\) −16.1107 + 22.1745i −0.654452 + 0.900776i
\(607\) 32.3490 6.87600i 1.31301 0.279088i 0.502378 0.864648i \(-0.332459\pi\)
0.810629 + 0.585560i \(0.199125\pi\)
\(608\) 12.5243 + 2.66212i 0.507927 + 0.107963i
\(609\) 0.463340 0.0486990i 0.0187755 0.00197338i
\(610\) −3.05008 9.38719i −0.123494 0.380076i
\(611\) −37.6239 + 21.6327i −1.52210 + 0.875164i
\(612\) −5.15869 3.74800i −0.208528 0.151504i
\(613\) −36.8404 + 3.87208i −1.48797 + 0.156392i −0.813350 0.581774i \(-0.802359\pi\)
−0.674619 + 0.738166i \(0.735692\pi\)
\(614\) −7.10081 + 12.2990i −0.286565 + 0.496346i
\(615\) −1.84305 3.19226i −0.0743191 0.128724i
\(616\) −0.00598769 0.00824135i −0.000241251 0.000332053i
\(617\) 9.67713 + 45.5273i 0.389586 + 1.83286i 0.536742 + 0.843747i \(0.319655\pi\)
−0.147155 + 0.989113i \(0.547012\pi\)
\(618\) 4.28238 + 3.85587i 0.172263 + 0.155106i
\(619\) 29.9297i 1.20297i −0.798882 0.601487i \(-0.794575\pi\)
0.798882 0.601487i \(-0.205425\pi\)
\(620\) −20.7158 5.29229i −0.831968 0.212544i
\(621\) −4.06694 + 7.04415i −0.163201 + 0.282672i
\(622\) −6.87834 + 32.3600i −0.275796 + 1.29752i
\(623\) 0.259722 0.799343i 0.0104056 0.0320250i
\(624\) −14.3356 15.9786i −0.573884 0.639655i
\(625\) −3.24477 −0.129791
\(626\) 14.7007 + 8.48746i 0.587558 + 0.339227i
\(627\) 0.0224211 + 0.213322i 0.000895412 + 0.00851927i
\(628\) −0.726021 + 6.90763i −0.0289714 + 0.275644i
\(629\) 24.4092 33.5964i 0.973259 1.33958i
\(630\) 0.596215 + 0.536835i 0.0237538 + 0.0213880i
\(631\) 14.5890 32.7675i 0.580780 1.30445i −0.349271 0.937022i \(-0.613571\pi\)
0.930051 0.367431i \(-0.119762\pi\)
\(632\) 0.834965 0.271297i 0.0332131 0.0107916i
\(633\) −17.4776 + 3.71497i −0.694671 + 0.147657i
\(634\) −53.0992 + 23.6413i −2.10884 + 0.938915i
\(635\) −7.98802 + 7.19244i −0.316995 + 0.285423i
\(636\) −2.66089 + 8.18937i −0.105511 + 0.324730i
\(637\) −25.2151 0.0450178i −0.999060 0.00178367i
\(638\) −0.202281 + 0.622558i −0.00800840 + 0.0246473i
\(639\) 1.40693 6.61908i 0.0556572 0.261847i
\(640\) 4.33616 + 41.2558i 0.171402 + 1.63078i
\(641\) −25.3085 + 28.1080i −0.999627 + 1.11020i −0.00571941 + 0.999984i \(0.501821\pi\)
−0.993908 + 0.110215i \(0.964846\pi\)
\(642\) 19.2708 26.5239i 0.760556 1.04682i
\(643\) 37.3318 + 3.92373i 1.47222 + 0.154737i 0.806399 0.591372i \(-0.201414\pi\)
0.665824 + 0.746109i \(0.268080\pi\)
\(644\) −0.0527320 + 0.118438i −0.00207793 + 0.00466712i
\(645\) 31.0648i 1.22317i
\(646\) −7.66369 13.2739i −0.301524 0.522255i
\(647\) −3.74115 35.5946i −0.147080 1.39937i −0.780304 0.625401i \(-0.784936\pi\)
0.633224 0.773969i \(-0.281731\pi\)
\(648\) −2.13591 + 1.92319i −0.0839066 + 0.0755499i
\(649\) −0.221190 0.680752i −0.00868246 0.0267219i
\(650\) 28.8802 + 39.8998i 1.13278 + 1.56500i
\(651\) 0.249740 + 0.476309i 0.00978809 + 0.0186680i
\(652\) 13.4458 + 7.76294i 0.526579 + 0.304020i
\(653\) −25.1213 5.33969i −0.983071 0.208958i −0.311782 0.950154i \(-0.600926\pi\)
−0.671289 + 0.741195i \(0.734259\pi\)
\(654\) 28.2409 6.00280i 1.10431 0.234728i
\(655\) 1.95051 + 2.68464i 0.0762127 + 0.104898i
\(656\) −3.73963 + 2.15908i −0.146008 + 0.0842979i
\(657\) 10.7079 6.18222i 0.417756 0.241192i
\(658\) 1.00511 + 1.38342i 0.0391833 + 0.0539311i
\(659\) 1.40452 13.3631i 0.0547123 0.520552i −0.932503 0.361161i \(-0.882380\pi\)
0.987216 0.159391i \(-0.0509530\pi\)
\(660\) 0.323732 0.144135i 0.0126012 0.00561043i
\(661\) −0.310572 + 1.46113i −0.0120799 + 0.0568313i −0.983775 0.179408i \(-0.942582\pi\)
0.971695 + 0.236240i \(0.0759150\pi\)
\(662\) 6.35411 4.61653i 0.246959 0.179426i
\(663\) −1.71846 + 16.0739i −0.0667394 + 0.624260i
\(664\) 3.31524 10.2033i 0.128656 0.395963i
\(665\) 0.274000 + 0.615413i 0.0106252 + 0.0238647i
\(666\) −20.4520 22.7143i −0.792500 0.880160i
\(667\) −7.03026 + 1.49433i −0.272213 + 0.0578606i
\(668\) −0.526446 + 0.724591i −0.0203688 + 0.0280353i
\(669\) −4.17348 19.6347i −0.161356 0.759121i
\(670\) −55.8046 50.2467i −2.15592 1.94120i
\(671\) −0.0716234 0.0985811i −0.00276499 0.00380568i
\(672\) −0.356033 + 0.395415i −0.0137343 + 0.0152535i
\(673\) 15.1169 6.73048i 0.582714 0.259441i −0.0941393 0.995559i \(-0.530010\pi\)
0.676853 + 0.736118i \(0.263343\pi\)
\(674\) −13.9811 31.4021i −0.538533 1.20957i
\(675\) 34.4092 24.9997i 1.32441 0.962241i
\(676\) −4.36065 + 13.2594i −0.167717 + 0.509977i
\(677\) −19.0895 −0.733667 −0.366834 0.930287i \(-0.619558\pi\)
−0.366834 + 0.930287i \(0.619558\pi\)
\(678\) 6.06059 0.636993i 0.232755 0.0244636i
\(679\) −0.828273 0.919890i −0.0317862 0.0353022i
\(680\) 14.6179 16.2348i 0.560570 0.622576i
\(681\) 0.217544i 0.00833631i
\(682\) −0.754096 + 0.0483570i −0.0288758 + 0.00185168i
\(683\) 40.8382 23.5779i 1.56263 0.902184i 0.565638 0.824653i \(-0.308630\pi\)
0.996990 0.0775305i \(-0.0247035\pi\)
\(684\) −3.74787 + 1.21776i −0.143303 + 0.0465621i
\(685\) −43.4571 + 9.23709i −1.66041 + 0.352931i
\(686\) 0.207797 + 1.97706i 0.00793373 + 0.0754844i
\(687\) −3.92581 2.26657i −0.149779 0.0864750i
\(688\) 36.3914 1.38741
\(689\) −23.7359 + 5.00094i −0.904264 + 0.190521i
\(690\) 9.01126 + 6.54706i 0.343053 + 0.249242i
\(691\) −4.27102 9.59287i −0.162477 0.364930i 0.813899 0.581006i \(-0.197341\pi\)
−0.976377 + 0.216076i \(0.930674\pi\)
\(692\) 11.5220 + 2.44909i 0.438002 + 0.0931003i
\(693\) 0.00904829 + 0.00402856i 0.000343716 + 0.000153032i
\(694\) −26.5264 + 8.61895i −1.00693 + 0.327171i
\(695\) 3.10686 + 14.6166i 0.117850 + 0.554440i
\(696\) −9.28610 0.976009i −0.351989 0.0369955i
\(697\) 3.09262 + 1.00485i 0.117142 + 0.0380616i
\(698\) 34.0656 7.24086i 1.28940 0.274071i
\(699\) 16.9498 7.54656i 0.641102 0.285437i
\(700\) 0.503795 0.453619i 0.0190417 0.0171452i
\(701\) 10.6060 + 32.6418i 0.400582 + 1.23287i 0.924528 + 0.381114i \(0.124459\pi\)
−0.523946 + 0.851752i \(0.675541\pi\)
\(702\) 32.7962 + 10.7209i 1.23781 + 0.404635i
\(703\) −7.93076 24.4084i −0.299114 0.920579i
\(704\) 0.0104442 + 0.0234581i 0.000393631 + 0.000884110i
\(705\) 46.8826 20.8735i 1.76570 0.786141i
\(706\) 47.1441 + 20.9899i 1.77429 + 0.789966i
\(707\) 1.06272i 0.0399675i
\(708\) −10.2491 + 5.91733i −0.385185 + 0.222387i
\(709\) 9.14917 20.5494i 0.343604 0.771748i −0.656248 0.754546i \(-0.727857\pi\)
0.999852 0.0172025i \(-0.00547601\pi\)
\(710\) −25.5575 8.30415i −0.959157 0.311649i
\(711\) −0.571174 + 0.634353i −0.0214207 + 0.0237901i
\(712\) −8.42230 + 14.5879i −0.315639 + 0.546703i
\(713\) −4.59971 6.90504i −0.172261 0.258596i
\(714\) 0.636941 0.0238369
\(715\) 0.806567 + 0.588208i 0.0301639 + 0.0219977i
\(716\) −6.99766 + 21.5366i −0.261515 + 0.804860i
\(717\) 35.5465 3.73608i 1.32751 0.139527i
\(718\) 19.2617 33.3622i 0.718840 1.24507i
\(719\) 16.9759 + 29.4031i 0.633094 + 1.09655i 0.986916 + 0.161238i \(0.0515487\pi\)
−0.353822 + 0.935313i \(0.615118\pi\)
\(720\) −16.5793 22.8194i −0.617873 0.850430i
\(721\) 0.222202 + 0.0233543i 0.00827522 + 0.000869761i
\(722\) 23.7076 + 2.49177i 0.882306 + 0.0927341i
\(723\) −9.02498 + 2.93239i −0.335642 + 0.109057i
\(724\) 19.4475 + 8.65857i 0.722760 + 0.321793i
\(725\) 36.7612 + 7.81384i 1.36528 + 0.290199i
\(726\) −17.0749 + 15.3743i −0.633709 + 0.570594i
\(727\) −31.8278 23.1243i −1.18043 0.857632i −0.188209 0.982129i \(-0.560268\pi\)
−0.992220 + 0.124497i \(0.960268\pi\)
\(728\) −0.463922 0.0994757i −0.0171941 0.00368681i
\(729\) 6.89567 21.2227i 0.255395 0.786026i
\(730\) −19.9714 44.8564i −0.739173 1.66021i
\(731\) −18.3372 20.3655i −0.678224 0.753245i
\(732\) −1.34809 + 1.49721i −0.0498270 + 0.0553385i
\(733\) 26.0574 + 35.8649i 0.962452 + 1.32470i 0.945769 + 0.324841i \(0.105311\pi\)
0.0166835 + 0.999861i \(0.494689\pi\)
\(734\) −14.7999 13.3259i −0.546274 0.491867i
\(735\) 29.6532 + 3.11668i 1.09378 + 0.114961i
\(736\) 4.82480 6.64077i 0.177845 0.244782i
\(737\) −0.846903 0.377065i −0.0311961 0.0138894i
\(738\) 1.19669 2.07272i 0.0440507 0.0762980i
\(739\) 20.3564 + 11.7528i 0.748821 + 0.432332i 0.825268 0.564742i \(-0.191024\pi\)
−0.0764468 + 0.997074i \(0.524358\pi\)
\(740\) −34.3023 + 24.9221i −1.26098 + 0.916153i
\(741\) 7.41244 + 6.69819i 0.272303 + 0.246064i
\(742\) 0.295344 + 0.908975i 0.0108424 + 0.0333695i
\(743\) −34.3845 19.8519i −1.26145 0.728296i −0.288092 0.957603i \(-0.593021\pi\)
−0.973354 + 0.229306i \(0.926354\pi\)
\(744\) −2.91111 10.3781i −0.106726 0.380478i
\(745\) −14.9053 25.8167i −0.546088 0.945852i
\(746\) 39.1688 12.7267i 1.43407 0.465958i
\(747\) 2.16874 + 10.2031i 0.0793500 + 0.373312i
\(748\) −0.127151 + 0.285587i −0.00464912 + 0.0104421i
\(749\) 1.27116i 0.0464473i
\(750\) −10.4348 18.0735i −0.381024 0.659953i
\(751\) −2.59496 24.6894i −0.0946915 0.900930i −0.934000 0.357274i \(-0.883706\pi\)
0.839308 0.543656i \(-0.182960\pi\)
\(752\) −24.4526 54.9215i −0.891696 2.00278i
\(753\) −11.8774 8.62945i −0.432837 0.314475i
\(754\) 12.3511 + 27.8749i 0.449801 +