Properties

Label 403.2.bs.a.4.2
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 4.2
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.525326 + 2.47147i) q^{2} +(0.803900 + 0.892821i) q^{3} +(-4.00509 - 1.78318i) q^{4} +0.793316i q^{5} +(-2.62889 + 1.51779i) q^{6} +(-0.479028 + 1.07591i) q^{7} +(3.54075 - 4.87343i) q^{8} +(0.162711 - 1.54809i) q^{9} +O(q^{10})\) \(q+(-0.525326 + 2.47147i) q^{2} +(0.803900 + 0.892821i) q^{3} +(-4.00509 - 1.78318i) q^{4} +0.793316i q^{5} +(-2.62889 + 1.51779i) q^{6} +(-0.479028 + 1.07591i) q^{7} +(3.54075 - 4.87343i) q^{8} +(0.162711 - 1.54809i) q^{9} +(-1.96065 - 0.416750i) q^{10} +(-5.94185 + 0.624514i) q^{11} +(-1.62763 - 5.00932i) q^{12} +(-3.60501 + 0.0625501i) q^{13} +(-2.40744 - 1.74911i) q^{14} +(-0.708289 + 0.637746i) q^{15} +(4.31737 + 4.79493i) q^{16} +(-0.207724 + 1.97636i) q^{17} +(3.74057 + 1.21539i) q^{18} +(2.08323 + 1.87575i) q^{19} +(1.41462 - 3.17730i) q^{20} +(-1.34569 + 0.437241i) q^{21} +(1.57795 - 15.0132i) q^{22} +(-7.98744 + 3.55624i) q^{23} +(7.19751 - 0.756489i) q^{24} +4.37065 q^{25} +(1.73922 - 8.94252i) q^{26} +(4.42885 - 3.21775i) q^{27} +(3.83710 - 3.45494i) q^{28} +(2.01532 + 0.428369i) q^{29} +(-1.20409 - 2.08554i) q^{30} +(-4.74109 + 2.91926i) q^{31} +(-3.68485 + 2.12745i) q^{32} +(-5.33423 - 4.80296i) q^{33} +(-4.77538 - 1.55162i) q^{34} +(-0.853541 - 0.380021i) q^{35} +(-3.41219 + 5.91009i) q^{36} +(8.59924 + 4.96477i) q^{37} +(-5.73023 + 4.16326i) q^{38} +(-2.95391 - 3.16834i) q^{39} +(3.86617 + 2.80894i) q^{40} +(-1.95924 + 9.21750i) q^{41} +(-0.373700 - 3.55552i) q^{42} +(4.00429 - 4.44722i) q^{43} +(24.9112 + 8.09415i) q^{44} +(1.22812 + 0.129081i) q^{45} +(-4.59311 - 21.6089i) q^{46} +(2.00966 + 0.652978i) q^{47} +(-0.810278 + 7.70928i) q^{48} +(3.75579 + 4.17123i) q^{49} +(-2.29602 + 10.8019i) q^{50} +(-1.93152 + 1.40333i) q^{51} +(14.5499 + 6.17786i) q^{52} +(-3.27090 - 2.37645i) q^{53} +(5.62596 + 12.6361i) q^{54} +(-0.495437 - 4.71377i) q^{55} +(3.54727 + 6.14406i) q^{56} +3.36787i q^{57} +(-2.11740 + 4.75576i) q^{58} +(2.09738 + 9.86738i) q^{59} +(3.97397 - 1.29122i) q^{60} +(0.117088 + 0.202803i) q^{61} +(-4.72423 - 13.2510i) q^{62} +(1.58767 + 0.916641i) q^{63} +(0.665515 + 2.04824i) q^{64} +(-0.0496220 - 2.85991i) q^{65} +(14.6726 - 10.6602i) q^{66} +(-6.39062 - 3.68963i) q^{67} +(4.35615 - 7.54508i) q^{68} +(-9.59618 - 4.27250i) q^{69} +(1.38760 - 1.90986i) q^{70} +(-1.39883 - 0.147022i) q^{71} +(-6.96838 - 6.27436i) q^{72} +(-6.87512 - 9.46278i) q^{73} +(-16.7877 + 18.6446i) q^{74} +(3.51356 + 3.90221i) q^{75} +(-4.99873 - 11.2273i) q^{76} +(2.17439 - 6.69209i) q^{77} +(9.38222 - 5.63608i) q^{78} +(-1.58757 - 1.15344i) q^{79} +(-3.80389 + 3.42504i) q^{80} +(1.86542 + 0.396508i) q^{81} +(-21.7515 - 9.68439i) q^{82} +(-5.89155 + 1.91428i) q^{83} +(6.16928 + 0.648418i) q^{84} +(-1.56788 - 0.164791i) q^{85} +(8.88758 + 12.2327i) q^{86} +(1.23766 + 2.14368i) q^{87} +(-17.9951 + 31.1684i) q^{88} +(11.6450 - 1.22394i) q^{89} +(-0.964185 + 2.96746i) q^{90} +(1.65960 - 3.90865i) q^{91} +38.3318 q^{92} +(-6.41774 - 1.88615i) q^{93} +(-2.66954 + 4.62378i) q^{94} +(-1.48806 + 1.65266i) q^{95} +(-4.86168 - 1.57966i) q^{96} +(-2.50664 + 5.63000i) q^{97} +(-12.2821 + 7.09105i) q^{98} +9.30013i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.525326 + 2.47147i −0.371462 + 1.74759i 0.253877 + 0.967237i \(0.418294\pi\)
−0.625338 + 0.780354i \(0.715039\pi\)
\(3\) 0.803900 + 0.892821i 0.464132 + 0.515470i 0.929086 0.369864i \(-0.120596\pi\)
−0.464954 + 0.885335i \(0.653929\pi\)
\(4\) −4.00509 1.78318i −2.00254 0.891589i
\(5\) 0.793316i 0.354782i 0.984140 + 0.177391i \(0.0567657\pi\)
−0.984140 + 0.177391i \(0.943234\pi\)
\(6\) −2.62889 + 1.51779i −1.07324 + 0.619634i
\(7\) −0.479028 + 1.07591i −0.181056 + 0.406658i −0.981158 0.193205i \(-0.938112\pi\)
0.800103 + 0.599863i \(0.204778\pi\)
\(8\) 3.54075 4.87343i 1.25184 1.72302i
\(9\) 0.162711 1.54809i 0.0542369 0.516030i
\(10\) −1.96065 0.416750i −0.620013 0.131788i
\(11\) −5.94185 + 0.624514i −1.79154 + 0.188298i −0.941179 0.337909i \(-0.890280\pi\)
−0.850357 + 0.526207i \(0.823614\pi\)
\(12\) −1.62763 5.00932i −0.469855 1.44607i
\(13\) −3.60501 + 0.0625501i −0.999850 + 0.0173483i
\(14\) −2.40744 1.74911i −0.643416 0.467469i
\(15\) −0.708289 + 0.637746i −0.182879 + 0.164665i
\(16\) 4.31737 + 4.79493i 1.07934 + 1.19873i
\(17\) −0.207724 + 1.97636i −0.0503804 + 0.479337i 0.940021 + 0.341117i \(0.110805\pi\)
−0.990401 + 0.138221i \(0.955862\pi\)
\(18\) 3.74057 + 1.21539i 0.881661 + 0.286469i
\(19\) 2.08323 + 1.87575i 0.477926 + 0.430327i 0.872556 0.488513i \(-0.162461\pi\)
−0.394630 + 0.918840i \(0.629127\pi\)
\(20\) 1.41462 3.17730i 0.316320 0.710466i
\(21\) −1.34569 + 0.437241i −0.293654 + 0.0954138i
\(22\) 1.57795 15.0132i 0.336419 3.20082i
\(23\) −7.98744 + 3.55624i −1.66550 + 0.741527i −0.999988 0.00486399i \(-0.998452\pi\)
−0.665508 + 0.746391i \(0.731785\pi\)
\(24\) 7.19751 0.756489i 1.46919 0.154418i
\(25\) 4.37065 0.874130
\(26\) 1.73922 8.94252i 0.341088 1.75377i
\(27\) 4.42885 3.21775i 0.852333 0.619256i
\(28\) 3.83710 3.45494i 0.725143 0.652922i
\(29\) 2.01532 + 0.428369i 0.374235 + 0.0795461i 0.391190 0.920310i \(-0.372064\pi\)
−0.0169545 + 0.999856i \(0.505397\pi\)
\(30\) −1.20409 2.08554i −0.219835 0.380765i
\(31\) −4.74109 + 2.91926i −0.851525 + 0.524315i
\(32\) −3.68485 + 2.12745i −0.651396 + 0.376084i
\(33\) −5.33423 4.80296i −0.928570 0.836089i
\(34\) −4.77538 1.55162i −0.818971 0.266100i
\(35\) −0.853541 0.380021i −0.144275 0.0642352i
\(36\) −3.41219 + 5.91009i −0.568698 + 0.985014i
\(37\) 8.59924 + 4.96477i 1.41371 + 0.816204i 0.995735 0.0922565i \(-0.0294080\pi\)
0.417971 + 0.908460i \(0.362741\pi\)
\(38\) −5.73023 + 4.16326i −0.929566 + 0.675370i
\(39\) −2.95391 3.16834i −0.473004 0.507341i
\(40\) 3.86617 + 2.80894i 0.611295 + 0.444132i
\(41\) −1.95924 + 9.21750i −0.305982 + 1.43953i 0.509361 + 0.860553i \(0.329882\pi\)
−0.815343 + 0.578979i \(0.803451\pi\)
\(42\) −0.373700 3.55552i −0.0576632 0.548629i
\(43\) 4.00429 4.44722i 0.610649 0.678194i −0.355945 0.934507i \(-0.615841\pi\)
0.966594 + 0.256313i \(0.0825077\pi\)
\(44\) 24.9112 + 8.09415i 3.75551 + 1.22024i
\(45\) 1.22812 + 0.129081i 0.183078 + 0.0192423i
\(46\) −4.59311 21.6089i −0.677217 3.18605i
\(47\) 2.00966 + 0.652978i 0.293139 + 0.0952467i 0.451895 0.892071i \(-0.350748\pi\)
−0.158756 + 0.987318i \(0.550748\pi\)
\(48\) −0.810278 + 7.70928i −0.116954 + 1.11274i
\(49\) 3.75579 + 4.17123i 0.536541 + 0.595890i
\(50\) −2.29602 + 10.8019i −0.324706 + 1.52762i
\(51\) −1.93152 + 1.40333i −0.270467 + 0.196506i
\(52\) 14.5499 + 6.17786i 2.01771 + 0.856715i
\(53\) −3.27090 2.37645i −0.449293 0.326430i 0.340024 0.940417i \(-0.389565\pi\)
−0.789316 + 0.613987i \(0.789565\pi\)
\(54\) 5.62596 + 12.6361i 0.765597 + 1.71956i
\(55\) −0.495437 4.71377i −0.0668047 0.635604i
\(56\) 3.54727 + 6.14406i 0.474024 + 0.821034i
\(57\) 3.36787i 0.446085i
\(58\) −2.11740 + 4.75576i −0.278028 + 0.624461i
\(59\) 2.09738 + 9.86738i 0.273055 + 1.28462i 0.874233 + 0.485507i \(0.161365\pi\)
−0.601178 + 0.799116i \(0.705302\pi\)
\(60\) 3.97397 1.29122i 0.513038 0.166696i
\(61\) 0.117088 + 0.202803i 0.0149916 + 0.0259662i 0.873424 0.486961i \(-0.161895\pi\)
−0.858432 + 0.512927i \(0.828561\pi\)
\(62\) −4.72423 13.2510i −0.599978 1.68288i
\(63\) 1.58767 + 0.916641i 0.200027 + 0.115486i
\(64\) 0.665515 + 2.04824i 0.0831893 + 0.256030i
\(65\) −0.0496220 2.85991i −0.00615485 0.354728i
\(66\) 14.6726 10.6602i 1.80607 1.31219i
\(67\) −6.39062 3.68963i −0.780739 0.450760i 0.0559533 0.998433i \(-0.482180\pi\)
−0.836692 + 0.547674i \(0.815514\pi\)
\(68\) 4.35615 7.54508i 0.528261 0.914975i
\(69\) −9.59618 4.27250i −1.15524 0.514348i
\(70\) 1.38760 1.90986i 0.165849 0.228272i
\(71\) −1.39883 0.147022i −0.166010 0.0174484i 0.0211587 0.999776i \(-0.493264\pi\)
−0.187169 + 0.982328i \(0.559931\pi\)
\(72\) −6.96838 6.27436i −0.821232 0.739440i
\(73\) −6.87512 9.46278i −0.804671 1.10754i −0.992124 0.125261i \(-0.960023\pi\)
0.187452 0.982274i \(-0.439977\pi\)
\(74\) −16.7877 + 18.6446i −1.95153 + 2.16739i
\(75\) 3.51356 + 3.90221i 0.405711 + 0.450588i
\(76\) −4.99873 11.2273i −0.573393 1.28786i
\(77\) 2.17439 6.69209i 0.247795 0.762634i
\(78\) 9.38222 5.63608i 1.06233 0.638160i
\(79\) −1.58757 1.15344i −0.178615 0.129772i 0.494885 0.868958i \(-0.335210\pi\)
−0.673501 + 0.739187i \(0.735210\pi\)
\(80\) −3.80389 + 3.42504i −0.425288 + 0.382931i
\(81\) 1.86542 + 0.396508i 0.207269 + 0.0440564i
\(82\) −21.7515 9.68439i −2.40205 1.06946i
\(83\) −5.89155 + 1.91428i −0.646682 + 0.210120i −0.613950 0.789345i \(-0.710421\pi\)
−0.0327312 + 0.999464i \(0.510421\pi\)
\(84\) 6.16928 + 0.648418i 0.673124 + 0.0707482i
\(85\) −1.56788 0.164791i −0.170060 0.0178740i
\(86\) 8.88758 + 12.2327i 0.958373 + 1.31909i
\(87\) 1.23766 + 2.14368i 0.132691 + 0.229827i
\(88\) −17.9951 + 31.1684i −1.91828 + 3.32257i
\(89\) 11.6450 1.22394i 1.23437 0.129738i 0.535221 0.844712i \(-0.320228\pi\)
0.699151 + 0.714974i \(0.253562\pi\)
\(90\) −0.964185 + 2.96746i −0.101634 + 0.312797i
\(91\) 1.65960 3.90865i 0.173974 0.409737i
\(92\) 38.3318 3.99636
\(93\) −6.41774 1.88615i −0.665488 0.195585i
\(94\) −2.66954 + 4.62378i −0.275342 + 0.476907i
\(95\) −1.48806 + 1.65266i −0.152672 + 0.169560i
\(96\) −4.86168 1.57966i −0.496194 0.161223i
\(97\) −2.50664 + 5.63000i −0.254510 + 0.571639i −0.994937 0.100497i \(-0.967957\pi\)
0.740427 + 0.672137i \(0.234623\pi\)
\(98\) −12.2821 + 7.09105i −1.24068 + 0.716304i
\(99\) 9.30013i 0.934698i
\(100\) −17.5048 7.79365i −1.75048 0.779365i
\(101\) −11.0018 + 4.89833i −1.09472 + 0.487402i −0.873006 0.487709i \(-0.837833\pi\)
−0.221717 + 0.975111i \(0.571166\pi\)
\(102\) −2.45361 5.51090i −0.242944 0.545661i
\(103\) 0.489790 + 1.50742i 0.0482604 + 0.148530i 0.972283 0.233808i \(-0.0751188\pi\)
−0.924022 + 0.382339i \(0.875119\pi\)
\(104\) −12.4596 + 17.7902i −1.22177 + 1.74447i
\(105\) −0.346870 1.06756i −0.0338511 0.104183i
\(106\) 7.59160 6.83551i 0.737361 0.663923i
\(107\) 9.74072 4.33685i 0.941671 0.419259i 0.122281 0.992496i \(-0.460979\pi\)
0.819390 + 0.573237i \(0.194312\pi\)
\(108\) −23.4757 + 4.98992i −2.25895 + 0.480156i
\(109\) −0.767946 0.249521i −0.0735559 0.0238998i 0.272008 0.962295i \(-0.412312\pi\)
−0.345564 + 0.938395i \(0.612312\pi\)
\(110\) 11.9102 + 1.25181i 1.13559 + 0.119355i
\(111\) 2.48027 + 11.6688i 0.235417 + 1.10755i
\(112\) −7.22708 + 2.34822i −0.682895 + 0.221886i
\(113\) 2.30678 + 1.02705i 0.217004 + 0.0966163i 0.512360 0.858771i \(-0.328772\pi\)
−0.295356 + 0.955387i \(0.595438\pi\)
\(114\) −8.32358 1.76923i −0.779574 0.165704i
\(115\) −2.82122 6.33656i −0.263080 0.590888i
\(116\) −7.30766 5.30933i −0.678499 0.492959i
\(117\) −0.489740 + 5.59105i −0.0452765 + 0.516893i
\(118\) −25.4887 −2.34642
\(119\) −2.02689 1.17022i −0.185805 0.107274i
\(120\) 0.600134 + 5.70990i 0.0547845 + 0.521240i
\(121\) 24.1560 5.13451i 2.19600 0.466773i
\(122\) −0.562729 + 0.182842i −0.0509471 + 0.0165537i
\(123\) −9.80461 + 5.66069i −0.884052 + 0.510408i
\(124\) 24.1940 3.23767i 2.17269 0.290752i
\(125\) 7.43389i 0.664907i
\(126\) −3.09949 + 3.44233i −0.276125 + 0.306667i
\(127\) −14.5336 16.1412i −1.28965 1.43230i −0.843300 0.537443i \(-0.819390\pi\)
−0.446350 0.894858i \(-0.647276\pi\)
\(128\) −13.8750 + 1.45832i −1.22639 + 0.128898i
\(129\) 7.18962 0.633010
\(130\) 7.09424 + 1.37975i 0.622206 + 0.121012i
\(131\) 1.27052 0.923087i 0.111006 0.0806505i −0.530897 0.847436i \(-0.678145\pi\)
0.641903 + 0.766786i \(0.278145\pi\)
\(132\) 12.7995 + 28.7482i 1.11405 + 2.50221i
\(133\) −3.01608 + 1.34284i −0.261527 + 0.116439i
\(134\) 12.4760 13.8559i 1.07776 1.19697i
\(135\) 2.55269 + 3.51348i 0.219701 + 0.302392i
\(136\) 8.89614 + 8.01012i 0.762838 + 0.686862i
\(137\) 0.665660 + 3.13168i 0.0568712 + 0.267558i 0.997392 0.0721791i \(-0.0229953\pi\)
−0.940521 + 0.339737i \(0.889662\pi\)
\(138\) 15.6005 21.4722i 1.32800 1.82783i
\(139\) −22.4680 + 4.77571i −1.90571 + 0.405071i −0.999829 0.0184667i \(-0.994122\pi\)
−0.905879 + 0.423537i \(0.860788\pi\)
\(140\) 2.74086 + 3.04403i 0.231645 + 0.257268i
\(141\) 1.03257 + 2.31920i 0.0869583 + 0.195312i
\(142\) 1.09820 3.37991i 0.0921590 0.283636i
\(143\) 21.3814 2.62304i 1.78800 0.219350i
\(144\) 8.12546 5.90349i 0.677121 0.491958i
\(145\) −0.339832 + 1.59878i −0.0282215 + 0.132772i
\(146\) 26.9986 12.0206i 2.23442 0.994829i
\(147\) −0.704881 + 6.70650i −0.0581376 + 0.553142i
\(148\) −25.5876 35.2183i −2.10329 2.89493i
\(149\) −1.52506 + 0.880495i −0.124938 + 0.0721329i −0.561166 0.827703i \(-0.689647\pi\)
0.436229 + 0.899836i \(0.356314\pi\)
\(150\) −11.4899 + 6.63372i −0.938150 + 0.541641i
\(151\) 10.8032 + 14.8693i 0.879149 + 1.21004i 0.976656 + 0.214810i \(0.0689132\pi\)
−0.0975068 + 0.995235i \(0.531087\pi\)
\(152\) 16.5175 3.51091i 1.33975 0.284773i
\(153\) 3.02578 + 0.643149i 0.244620 + 0.0519956i
\(154\) 15.3970 + 8.88946i 1.24073 + 0.716333i
\(155\) −2.31590 3.76118i −0.186017 0.302105i
\(156\) 6.18094 + 17.9568i 0.494872 + 1.43770i
\(157\) −1.41696 4.36096i −0.113086 0.348042i 0.878457 0.477821i \(-0.158573\pi\)
−0.991543 + 0.129779i \(0.958573\pi\)
\(158\) 3.68467 3.31769i 0.293136 0.263941i
\(159\) −0.507733 4.83075i −0.0402658 0.383104i
\(160\) −1.68774 2.92325i −0.133428 0.231103i
\(161\) 10.2973i 0.811544i
\(162\) −1.95991 + 4.40203i −0.153985 + 0.345856i
\(163\) 10.3918 + 1.09223i 0.813952 + 0.0855498i 0.502352 0.864663i \(-0.332468\pi\)
0.311600 + 0.950213i \(0.399135\pi\)
\(164\) 24.2834 33.4232i 1.89621 2.60991i
\(165\) 3.81027 4.23173i 0.296629 0.329440i
\(166\) −1.63609 15.5664i −0.126985 1.20819i
\(167\) 2.65915 12.5103i 0.205772 0.968079i −0.747102 0.664710i \(-0.768555\pi\)
0.952873 0.303369i \(-0.0981115\pi\)
\(168\) −2.63389 + 8.10628i −0.203209 + 0.625413i
\(169\) 12.9922 0.450987i 0.999398 0.0346913i
\(170\) 1.23092 3.78839i 0.0944074 0.290556i
\(171\) 3.24279 2.91982i 0.247983 0.223285i
\(172\) −23.9677 + 10.6711i −1.82752 + 0.813665i
\(173\) −0.969601 + 0.206095i −0.0737174 + 0.0156691i −0.244623 0.969618i \(-0.578664\pi\)
0.170905 + 0.985287i \(0.445331\pi\)
\(174\) −5.94821 + 1.93269i −0.450933 + 0.146517i
\(175\) −2.09366 + 4.70245i −0.158266 + 0.355472i
\(176\) −28.6477 25.7945i −2.15940 1.94433i
\(177\) −7.12372 + 9.80496i −0.535452 + 0.736986i
\(178\) −3.09251 + 29.4233i −0.231794 + 2.20537i
\(179\) 1.38341 + 13.1623i 0.103401 + 0.983796i 0.916056 + 0.401051i \(0.131355\pi\)
−0.812655 + 0.582745i \(0.801978\pi\)
\(180\) −4.68857 2.70694i −0.349465 0.201764i
\(181\) 1.45503 0.108152 0.0540758 0.998537i \(-0.482779\pi\)
0.0540758 + 0.998537i \(0.482779\pi\)
\(182\) 8.78825 + 6.15496i 0.651429 + 0.456236i
\(183\) −0.0869393 + 0.267572i −0.00642674 + 0.0197795i
\(184\) −10.9505 + 51.5180i −0.807280 + 3.79795i
\(185\) −3.93863 + 6.82192i −0.289574 + 0.501557i
\(186\) 8.03297 14.8704i 0.589006 1.09035i
\(187\) 11.8730i 0.868237i
\(188\) −6.88449 6.19882i −0.502103 0.452095i
\(189\) 1.34048 + 6.30646i 0.0975055 + 0.458727i
\(190\) −3.30278 4.54589i −0.239609 0.329793i
\(191\) 2.65611 + 4.60052i 0.192189 + 0.332882i 0.945976 0.324238i \(-0.105108\pi\)
−0.753786 + 0.657120i \(0.771775\pi\)
\(192\) −1.29371 + 2.24077i −0.0933653 + 0.161714i
\(193\) 20.7438 2.18027i 1.49317 0.156939i 0.677531 0.735494i \(-0.263050\pi\)
0.815643 + 0.578555i \(0.196383\pi\)
\(194\) −12.5975 9.15265i −0.904451 0.657122i
\(195\) 2.51350 2.34338i 0.179995 0.167813i
\(196\) −7.60421 23.4034i −0.543158 1.67167i
\(197\) 10.5155 1.10522i 0.749195 0.0787436i 0.277767 0.960648i \(-0.410406\pi\)
0.471428 + 0.881905i \(0.343739\pi\)
\(198\) −22.9850 4.88560i −1.63347 0.347205i
\(199\) 21.5964 4.59045i 1.53092 0.325408i 0.636023 0.771670i \(-0.280579\pi\)
0.894902 + 0.446262i \(0.147245\pi\)
\(200\) 15.4754 21.3000i 1.09428 1.50614i
\(201\) −1.84324 8.67177i −0.130012 0.611660i
\(202\) −6.32651 29.7639i −0.445132 2.09418i
\(203\) −1.42628 + 1.96311i −0.100105 + 0.137783i
\(204\) 10.2383 2.17622i 0.716825 0.152366i
\(205\) −7.31239 1.55430i −0.510720 0.108557i
\(206\) −3.98283 + 0.418612i −0.277497 + 0.0291661i
\(207\) 4.20573 + 12.9439i 0.292318 + 0.899663i
\(208\) −15.8641 17.0157i −1.09998 1.17983i
\(209\) −13.5497 9.84443i −0.937252 0.680953i
\(210\) 2.82065 0.296462i 0.194643 0.0204579i
\(211\) −1.05735 + 1.83138i −0.0727909 + 0.126077i −0.900123 0.435635i \(-0.856524\pi\)
0.827333 + 0.561712i \(0.189857\pi\)
\(212\) 8.86260 + 15.3505i 0.608686 + 1.05428i
\(213\) −0.993250 1.36709i −0.0680564 0.0936716i
\(214\) 5.60131 + 26.3521i 0.382898 + 1.80139i
\(215\) 3.52805 + 3.17667i 0.240611 + 0.216647i
\(216\) 32.9769i 2.24380i
\(217\) −0.869760 6.49942i −0.0590431 0.441209i
\(218\) 1.02010 1.76687i 0.0690902 0.119668i
\(219\) 2.92167 13.7454i 0.197428 0.928826i
\(220\) −6.42122 + 19.7625i −0.432919 + 1.33239i
\(221\) 0.625224 7.13778i 0.0420571 0.480139i
\(222\) −30.1419 −2.02299
\(223\) 1.86926 + 1.07922i 0.125175 + 0.0722698i 0.561280 0.827626i \(-0.310309\pi\)
−0.436105 + 0.899896i \(0.643642\pi\)
\(224\) −0.523808 4.98370i −0.0349984 0.332987i
\(225\) 0.711151 6.76615i 0.0474101 0.451077i
\(226\) −3.75012 + 5.16160i −0.249454 + 0.343344i
\(227\) −3.14010 2.82736i −0.208416 0.187659i 0.558311 0.829632i \(-0.311449\pi\)
−0.766727 + 0.641973i \(0.778116\pi\)
\(228\) 6.00551 13.4886i 0.397725 0.893305i
\(229\) −12.1860 + 3.95948i −0.805276 + 0.261650i −0.682596 0.730796i \(-0.739149\pi\)
−0.122680 + 0.992446i \(0.539149\pi\)
\(230\) 17.1427 3.64379i 1.13035 0.240264i
\(231\) 7.72283 3.43842i 0.508125 0.226232i
\(232\) 9.22336 8.30475i 0.605544 0.545234i
\(233\) −1.69947 + 5.23043i −0.111336 + 0.342657i −0.991165 0.132633i \(-0.957657\pi\)
0.879829 + 0.475290i \(0.157657\pi\)
\(234\) −13.5608 4.14750i −0.886499 0.271131i
\(235\) −0.518018 + 1.59430i −0.0337918 + 0.104000i
\(236\) 9.19513 43.2597i 0.598552 2.81597i
\(237\) −0.246434 2.34466i −0.0160076 0.152302i
\(238\) 3.95695 4.39464i 0.256491 0.284862i
\(239\) 1.75142 2.41063i 0.113290 0.155931i −0.748606 0.663015i \(-0.769277\pi\)
0.861897 + 0.507084i \(0.169277\pi\)
\(240\) −6.11590 0.642807i −0.394779 0.0414930i
\(241\) 7.86558 17.6664i 0.506666 1.13799i −0.461376 0.887205i \(-0.652644\pi\)
0.968042 0.250786i \(-0.0806892\pi\)
\(242\) 62.3979i 4.01109i
\(243\) −7.06594 12.2386i −0.453280 0.785104i
\(244\) −0.107315 1.02103i −0.00687011 0.0653648i
\(245\) −3.30910 + 2.97953i −0.211411 + 0.190355i
\(246\) −8.83959 27.2055i −0.563592 1.73456i
\(247\) −7.62740 6.63179i −0.485320 0.421971i
\(248\) −2.56022 + 33.4417i −0.162574 + 2.12355i
\(249\) −6.44532 3.72121i −0.408456 0.235822i
\(250\) −18.3726 3.90522i −1.16199 0.246988i
\(251\) −15.1277 + 3.21550i −0.954854 + 0.202960i −0.658890 0.752239i \(-0.728974\pi\)
−0.295963 + 0.955199i \(0.595641\pi\)
\(252\) −4.72421 6.50232i −0.297598 0.409608i
\(253\) 45.2393 26.1189i 2.84417 1.64208i
\(254\) 47.5274 27.4399i 2.98213 1.72173i
\(255\) −1.11329 1.53231i −0.0697168 0.0959569i
\(256\) 3.23447 30.7739i 0.202154 1.92337i
\(257\) 9.93799 4.42468i 0.619915 0.276004i −0.0726524 0.997357i \(-0.523146\pi\)
0.692567 + 0.721354i \(0.256480\pi\)
\(258\) −3.77689 + 17.7689i −0.235139 + 1.10624i
\(259\) −9.46095 + 6.87378i −0.587875 + 0.427116i
\(260\) −4.90099 + 11.5427i −0.303947 + 0.715846i
\(261\) 0.991067 3.05019i 0.0613455 0.188802i
\(262\) 1.61394 + 3.62497i 0.0997096 + 0.223951i
\(263\) 15.6420 + 17.3723i 0.964530 + 1.07122i 0.997422 + 0.0717601i \(0.0228616\pi\)
−0.0328920 + 0.999459i \(0.510472\pi\)
\(264\) −42.2941 + 8.98988i −2.60302 + 0.553289i
\(265\) 1.88527 2.59486i 0.115811 0.159401i
\(266\) −1.73437 8.15956i −0.106341 0.500295i
\(267\) 10.4542 + 9.41301i 0.639787 + 0.576067i
\(268\) 19.0157 + 26.1729i 1.16157 + 1.59876i
\(269\) 6.60321 7.33361i 0.402605 0.447138i −0.507415 0.861702i \(-0.669399\pi\)
0.910020 + 0.414563i \(0.136066\pi\)
\(270\) −10.0244 + 4.46317i −0.610068 + 0.271620i
\(271\) 6.88140 + 15.4559i 0.418015 + 0.938878i 0.992712 + 0.120511i \(0.0384534\pi\)
−0.574697 + 0.818367i \(0.694880\pi\)
\(272\) −10.3733 + 7.53666i −0.628975 + 0.456977i
\(273\) 4.82387 1.66043i 0.291954 0.100494i
\(274\) −8.08954 −0.488707
\(275\) −25.9697 + 2.72953i −1.56603 + 0.164597i
\(276\) 30.8149 + 34.2234i 1.85484 + 2.06001i
\(277\) −10.5001 + 11.6615i −0.630888 + 0.700673i −0.970829 0.239774i \(-0.922927\pi\)
0.339940 + 0.940447i \(0.389593\pi\)
\(278\) 58.0376i 3.48087i
\(279\) 3.74785 + 7.81462i 0.224378 + 0.467849i
\(280\) −4.87418 + 2.81411i −0.291288 + 0.168175i
\(281\) −7.25560 + 2.35749i −0.432833 + 0.140636i −0.517326 0.855788i \(-0.673073\pi\)
0.0844937 + 0.996424i \(0.473073\pi\)
\(282\) −6.27425 + 1.33363i −0.373626 + 0.0794167i
\(283\) 1.26048 + 11.9926i 0.0749276 + 0.712889i 0.965915 + 0.258860i \(0.0833469\pi\)
−0.890987 + 0.454029i \(0.849986\pi\)
\(284\) 5.34025 + 3.08319i 0.316885 + 0.182954i
\(285\) −2.67178 −0.158263
\(286\) −4.74944 + 54.2213i −0.280840 + 3.20617i
\(287\) −8.97871 6.52342i −0.529997 0.385065i
\(288\) 2.69392 + 6.05064i 0.158741 + 0.356537i
\(289\) 12.7657 + 2.71343i 0.750921 + 0.159613i
\(290\) −3.77282 1.67977i −0.221547 0.0986393i
\(291\) −7.04166 + 2.28797i −0.412789 + 0.134123i
\(292\) 10.6616 + 50.1588i 0.623922 + 2.93532i
\(293\) −21.2030 2.22853i −1.23869 0.130192i −0.537563 0.843224i \(-0.680655\pi\)
−0.701132 + 0.713032i \(0.747322\pi\)
\(294\) −16.2046 5.26519i −0.945070 0.307072i
\(295\) −7.82795 + 1.66388i −0.455761 + 0.0968749i
\(296\) 54.6432 24.3287i 3.17607 1.41408i
\(297\) −24.3060 + 21.8853i −1.41038 + 1.26991i
\(298\) −1.37496 4.23168i −0.0796492 0.245135i
\(299\) 28.5723 13.3199i 1.65238 0.770309i
\(300\) −7.11379 21.8940i −0.410715 1.26405i
\(301\) 2.86666 + 6.43862i 0.165231 + 0.371116i
\(302\) −42.4241 + 18.8884i −2.44123 + 1.08691i
\(303\) −13.2177 5.88490i −0.759337 0.338079i
\(304\) 18.0873i 1.03738i
\(305\) −0.160886 + 0.0928879i −0.00921233 + 0.00531874i
\(306\) −3.17904 + 7.14025i −0.181734 + 0.408181i
\(307\) −16.8539 5.47618i −0.961905 0.312542i −0.214361 0.976754i \(-0.568767\pi\)
−0.747544 + 0.664212i \(0.768767\pi\)
\(308\) −20.6418 + 22.9250i −1.17618 + 1.30628i
\(309\) −0.952112 + 1.64911i −0.0541638 + 0.0938144i
\(310\) 10.5122 3.74781i 0.597055 0.212861i
\(311\) −10.2007 −0.578431 −0.289216 0.957264i \(-0.593394\pi\)
−0.289216 + 0.957264i \(0.593394\pi\)
\(312\) −25.8998 + 3.17735i −1.46629 + 0.179882i
\(313\) −5.93682 + 18.2717i −0.335569 + 1.03278i 0.630872 + 0.775887i \(0.282697\pi\)
−0.966441 + 0.256889i \(0.917303\pi\)
\(314\) 11.5223 1.21104i 0.650242 0.0683432i
\(315\) −0.727186 + 1.25952i −0.0409723 + 0.0709661i
\(316\) 4.30156 + 7.45053i 0.241982 + 0.419125i
\(317\) 11.1249 + 15.3121i 0.624838 + 0.860015i 0.997694 0.0678739i \(-0.0216216\pi\)
−0.372856 + 0.927889i \(0.621622\pi\)
\(318\) 12.2058 + 1.28288i 0.684465 + 0.0719402i
\(319\) −12.2422 1.28671i −0.685434 0.0720420i
\(320\) −1.62490 + 0.527964i −0.0908349 + 0.0295141i
\(321\) 11.7026 + 5.21033i 0.653175 + 0.290812i
\(322\) 25.4495 + 5.40946i 1.41825 + 0.301458i
\(323\) −4.13989 + 3.72758i −0.230350 + 0.207408i
\(324\) −6.76413 4.91443i −0.375785 0.273024i
\(325\) −15.7562 + 0.273384i −0.873998 + 0.0151646i
\(326\) −8.15851 + 25.1093i −0.451858 + 1.39068i
\(327\) −0.394574 0.886228i −0.0218200 0.0490085i
\(328\) 37.9836 + 42.1851i 2.09730 + 2.32928i
\(329\) −1.66523 + 1.84943i −0.0918073 + 0.101962i
\(330\) 8.45694 + 11.6400i 0.465539 + 0.640760i
\(331\) −18.6745 16.8146i −1.02644 0.924213i −0.0292856 0.999571i \(-0.509323\pi\)
−0.997157 + 0.0753584i \(0.975990\pi\)
\(332\) 27.0097 + 2.83883i 1.48235 + 0.155801i
\(333\) 9.08510 12.5046i 0.497860 0.685246i
\(334\) 29.5219 + 13.1440i 1.61537 + 0.719209i
\(335\) 2.92704 5.06978i 0.159921 0.276992i
\(336\) −7.90639 4.56475i −0.431329 0.249028i
\(337\) 19.8260 14.4044i 1.07999 0.784658i 0.102308 0.994753i \(-0.467377\pi\)
0.977681 + 0.210095i \(0.0673774\pi\)
\(338\) −5.71053 + 32.3466i −0.310612 + 1.75942i
\(339\) 0.937453 + 2.88518i 0.0509155 + 0.156702i
\(340\) 5.98563 + 3.45581i 0.324616 + 0.187417i
\(341\) 26.3477 20.3067i 1.42681 1.09967i
\(342\) 5.51272 + 9.54832i 0.298094 + 0.516314i
\(343\) −14.1277 + 4.59036i −0.762822 + 0.247856i
\(344\) −7.49498 35.2611i −0.404102 1.90115i
\(345\) 3.38944 7.61281i 0.182481 0.409860i
\(346\) 2.50460i 0.134648i
\(347\) 9.71315 + 16.8237i 0.521429 + 0.903142i 0.999689 + 0.0249235i \(0.00793421\pi\)
−0.478260 + 0.878218i \(0.658732\pi\)
\(348\) −1.13435 10.7926i −0.0608074 0.578544i
\(349\) 0.868480 + 1.95064i 0.0464887 + 0.104415i 0.935297 0.353864i \(-0.115133\pi\)
−0.888808 + 0.458280i \(0.848466\pi\)
\(350\) −10.5221 7.64474i −0.562429 0.408628i
\(351\) −15.7648 + 11.8770i −0.841461 + 0.633949i
\(352\) 20.5662 14.9422i 1.09618 0.796424i
\(353\) 4.89837 23.0450i 0.260714 1.22656i −0.631652 0.775252i \(-0.717623\pi\)
0.892366 0.451312i \(-0.149044\pi\)
\(354\) −20.4903 22.7568i −1.08905 1.20951i
\(355\) 0.116635 1.10971i 0.00619036 0.0588973i
\(356\) −48.8219 15.8632i −2.58755 0.840747i
\(357\) −0.584614 2.75039i −0.0309410 0.145566i
\(358\) −33.2569 3.49544i −1.75768 0.184740i
\(359\) −0.172539 0.0560614i −0.00910628 0.00295881i 0.304460 0.952525i \(-0.401524\pi\)
−0.313567 + 0.949566i \(0.601524\pi\)
\(360\) 4.97755 5.52813i 0.262340 0.291358i
\(361\) −1.16462 11.0807i −0.0612960 0.583193i
\(362\) −0.764366 + 3.59606i −0.0401742 + 0.189005i
\(363\) 24.0032 + 17.4393i 1.25984 + 0.915327i
\(364\) −13.6167 + 12.6951i −0.713707 + 0.665404i
\(365\) 7.50698 5.45414i 0.392933 0.285483i
\(366\) −0.615623 0.355430i −0.0321791 0.0185786i
\(367\) −4.92989 + 8.53881i −0.257338 + 0.445722i −0.965528 0.260300i \(-0.916179\pi\)
0.708190 + 0.706022i \(0.249512\pi\)
\(368\) −51.5367 22.9456i −2.68653 1.19612i
\(369\) 13.9507 + 4.53286i 0.726245 + 0.235971i
\(370\) −14.7911 13.3179i −0.768951 0.692366i
\(371\) 4.12371 2.38082i 0.214092 0.123606i
\(372\) 22.3402 + 18.9982i 1.15829 + 0.985009i
\(373\) −4.79681 8.30831i −0.248369 0.430188i 0.714704 0.699427i \(-0.246561\pi\)
−0.963073 + 0.269239i \(0.913228\pi\)
\(374\) 29.3436 + 6.23718i 1.51732 + 0.322517i
\(375\) −6.63713 + 5.97610i −0.342740 + 0.308604i
\(376\) 10.2980 7.48190i 0.531076 0.385850i
\(377\) −7.29203 1.41822i −0.375559 0.0730418i
\(378\) −16.2904 −0.837887
\(379\) 8.27040 0.869254i 0.424822 0.0446506i 0.110294 0.993899i \(-0.464821\pi\)
0.314527 + 0.949248i \(0.398154\pi\)
\(380\) 8.90681 3.96557i 0.456910 0.203429i
\(381\) 2.72765 25.9518i 0.139742 1.32955i
\(382\) −12.7654 + 4.14771i −0.653132 + 0.212216i
\(383\) −9.26708 + 20.8142i −0.473526 + 1.06356i 0.506054 + 0.862502i \(0.331103\pi\)
−0.979580 + 0.201054i \(0.935563\pi\)
\(384\) −12.4561 11.2155i −0.635647 0.572339i
\(385\) 5.30894 + 1.72498i 0.270569 + 0.0879131i
\(386\) −5.50884 + 52.4131i −0.280392 + 2.66775i
\(387\) −6.23314 6.92261i −0.316849 0.351896i
\(388\) 20.0786 18.0788i 1.01934 0.917814i
\(389\) −27.1531 19.7279i −1.37672 1.00025i −0.997178 0.0750702i \(-0.976082\pi\)
−0.379541 0.925175i \(-0.623918\pi\)
\(390\) 4.47119 + 7.44307i 0.226408 + 0.376894i
\(391\) −5.36922 16.5248i −0.271533 0.835693i
\(392\) 33.6265 3.53429i 1.69839 0.178508i
\(393\) 1.84552 + 0.392278i 0.0930943 + 0.0197878i
\(394\) −2.79253 + 26.5692i −0.140686 + 1.33854i
\(395\) 0.915039 1.25944i 0.0460406 0.0633695i
\(396\) 16.5838 37.2478i 0.833367 1.87177i
\(397\) 27.0950 15.6433i 1.35986 0.785116i 0.370256 0.928930i \(-0.379270\pi\)
0.989605 + 0.143814i \(0.0459367\pi\)
\(398\) 55.7861i 2.79631i
\(399\) −3.62354 1.61330i −0.181404 0.0807662i
\(400\) 18.8697 + 20.9570i 0.943486 + 1.04785i
\(401\) 4.29655 20.2137i 0.214559 1.00942i −0.730598 0.682808i \(-0.760759\pi\)
0.945157 0.326615i \(-0.105908\pi\)
\(402\) 22.4003 1.11722
\(403\) 16.9091 10.8205i 0.842301 0.539008i
\(404\) 52.7979 2.62679
\(405\) −0.314556 + 1.47987i −0.0156304 + 0.0735353i
\(406\) −4.10249 4.55628i −0.203603 0.226124i
\(407\) −54.1960 24.1296i −2.68639 1.19606i
\(408\) 14.3820i 0.712015i
\(409\) −7.52103 + 4.34227i −0.371891 + 0.214711i −0.674284 0.738472i \(-0.735548\pi\)
0.302393 + 0.953183i \(0.402214\pi\)
\(410\) 7.68278 17.2558i 0.379426 0.852204i
\(411\) −2.26091 + 3.11187i −0.111522 + 0.153497i
\(412\) 0.726346 6.91072i 0.0357845 0.340467i
\(413\) −11.6212 2.47015i −0.571840 0.121548i
\(414\) −34.1998 + 3.59454i −1.68083 + 0.176662i
\(415\) −1.51863 4.67386i −0.0745466 0.229431i
\(416\) 13.1509 7.89997i 0.644774 0.387328i
\(417\) −22.3258 16.2207i −1.09330 0.794330i
\(418\) 31.4482 28.3161i 1.53818 1.38498i
\(419\) 3.02601 + 3.36073i 0.147830 + 0.164182i 0.812512 0.582944i \(-0.198099\pi\)
−0.664682 + 0.747127i \(0.731433\pi\)
\(420\) −0.514400 + 4.89419i −0.0251002 + 0.238812i
\(421\) −5.61974 1.82597i −0.273890 0.0889921i 0.168852 0.985641i \(-0.445994\pi\)
−0.442741 + 0.896649i \(0.645994\pi\)
\(422\) −3.97074 3.57527i −0.193293 0.174042i
\(423\) 1.33786 3.00489i 0.0650491 0.146103i
\(424\) −23.1629 + 7.52608i −1.12489 + 0.365499i
\(425\) −0.907888 + 8.63797i −0.0440390 + 0.419003i
\(426\) 3.90050 1.73662i 0.188980 0.0841393i
\(427\) −0.274287 + 0.0288287i −0.0132737 + 0.00139512i
\(428\) −46.7458 −2.25954
\(429\) 19.5304 + 16.9811i 0.942935 + 0.819854i
\(430\) −9.70441 + 7.05066i −0.467988 + 0.340013i
\(431\) −17.5253 + 15.7799i −0.844166 + 0.760090i −0.972811 0.231601i \(-0.925604\pi\)
0.128645 + 0.991691i \(0.458937\pi\)
\(432\) 34.5499 + 7.34380i 1.66228 + 0.353329i
\(433\) 10.1766 + 17.6264i 0.489055 + 0.847069i 0.999921 0.0125919i \(-0.00400823\pi\)
−0.510865 + 0.859661i \(0.670675\pi\)
\(434\) 16.5200 + 1.26473i 0.792985 + 0.0607091i
\(435\) −1.70062 + 0.981852i −0.0815384 + 0.0470762i
\(436\) 2.63075 + 2.36874i 0.125990 + 0.113442i
\(437\) −23.3103 7.57398i −1.11508 0.362313i
\(438\) 32.4364 + 14.4416i 1.54987 + 0.690047i
\(439\) −11.4573 + 19.8446i −0.546827 + 0.947132i 0.451663 + 0.892189i \(0.350831\pi\)
−0.998489 + 0.0549429i \(0.982502\pi\)
\(440\) −24.7264 14.2758i −1.17879 0.680572i
\(441\) 7.06854 5.13559i 0.336597 0.244552i
\(442\) 17.3123 + 5.29489i 0.823464 + 0.251852i
\(443\) −5.84673 4.24789i −0.277786 0.201824i 0.440165 0.897917i \(-0.354920\pi\)
−0.717951 + 0.696093i \(0.754920\pi\)
\(444\) 10.8738 51.1572i 0.516047 2.42781i
\(445\) 0.970974 + 9.23820i 0.0460286 + 0.437932i
\(446\) −3.64923 + 4.05288i −0.172796 + 0.191909i
\(447\) −2.01212 0.653778i −0.0951700 0.0309226i
\(448\) −2.52254 0.265129i −0.119179 0.0125262i
\(449\) 4.03617 + 18.9887i 0.190479 + 0.896131i 0.964728 + 0.263250i \(0.0847944\pi\)
−0.774249 + 0.632881i \(0.781872\pi\)
\(450\) 16.3487 + 5.31203i 0.770687 + 0.250411i
\(451\) 5.88506 55.9926i 0.277117 2.63659i
\(452\) −7.40745 8.22681i −0.348417 0.386956i
\(453\) −4.59095 + 21.5987i −0.215701 + 1.01480i
\(454\) 8.63731 6.27537i 0.405369 0.294518i
\(455\) 3.10079 + 1.31659i 0.145367 + 0.0617226i
\(456\) 16.4131 + 11.9248i 0.768612 + 0.558430i
\(457\) −13.9396 31.3089i −0.652068 1.46457i −0.872225 0.489105i \(-0.837323\pi\)
0.220156 0.975465i \(-0.429343\pi\)
\(458\) −3.38408 32.1974i −0.158128 1.50449i
\(459\) 5.43945 + 9.42140i 0.253892 + 0.439753i
\(460\) 30.4092i 1.41784i
\(461\) 4.24345 9.53095i 0.197637 0.443901i −0.787355 0.616500i \(-0.788550\pi\)
0.984992 + 0.172599i \(0.0552166\pi\)
\(462\) 4.44094 + 20.8930i 0.206611 + 0.972030i
\(463\) −13.2975 + 4.32063i −0.617988 + 0.200797i −0.601247 0.799063i \(-0.705329\pi\)
−0.0167413 + 0.999860i \(0.505329\pi\)
\(464\) 6.64688 + 11.5127i 0.308574 + 0.534465i
\(465\) 1.49631 5.09129i 0.0693899 0.236103i
\(466\) −12.0340 6.94786i −0.557466 0.321853i
\(467\) 10.9870 + 33.8146i 0.508418 + 1.56475i 0.794947 + 0.606679i \(0.207499\pi\)
−0.286528 + 0.958072i \(0.592501\pi\)
\(468\) 11.9313 21.5193i 0.551524 0.994732i
\(469\) 7.03101 5.10833i 0.324662 0.235881i
\(470\) −3.66812 2.11779i −0.169198 0.0976864i
\(471\) 2.75446 4.77086i 0.126919 0.219830i
\(472\) 55.5142 + 24.7165i 2.55525 + 1.13767i
\(473\) −21.0156 + 28.9254i −0.966296 + 1.32999i
\(474\) 5.92421 + 0.622659i 0.272108 + 0.0285997i
\(475\) 9.10508 + 8.19825i 0.417770 + 0.376162i
\(476\) 6.03114 + 8.30115i 0.276437 + 0.380483i
\(477\) −4.21116 + 4.67697i −0.192816 + 0.214144i
\(478\) 5.03771 + 5.59495i 0.230420 + 0.255907i
\(479\) 12.5109 + 28.1000i 0.571638 + 1.28392i 0.935783 + 0.352577i \(0.114695\pi\)
−0.364145 + 0.931342i \(0.618639\pi\)
\(480\) 1.25317 3.85685i 0.0571990 0.176040i
\(481\) −31.3109 17.3602i −1.42765 0.791556i
\(482\) 39.5298 + 28.7201i 1.80054 + 1.30817i
\(483\) 9.19368 8.27803i 0.418327 0.376663i
\(484\) −105.902 22.5103i −4.81375 1.02319i
\(485\) −4.46637 1.98855i −0.202807 0.0902956i
\(486\) 33.9591 11.0340i 1.54042 0.500512i
\(487\) 21.2098 + 2.22924i 0.961107 + 0.101016i 0.572069 0.820205i \(-0.306141\pi\)
0.389038 + 0.921222i \(0.372808\pi\)
\(488\) 1.40292 + 0.147453i 0.0635073 + 0.00667489i
\(489\) 7.37884 + 10.1561i 0.333683 + 0.459275i
\(490\) −5.62544 9.74356i −0.254132 0.440169i
\(491\) −2.20806 + 3.82448i −0.0996484 + 0.172596i −0.911539 0.411213i \(-0.865105\pi\)
0.811891 + 0.583809i \(0.198438\pi\)
\(492\) 49.3623 5.18819i 2.22543 0.233902i
\(493\) −1.26524 + 3.89401i −0.0569835 + 0.175377i
\(494\) 20.3971 15.3670i 0.917710 0.691394i
\(495\) −7.37794 −0.331614
\(496\) −34.4667 10.1296i −1.54760 0.454835i
\(497\) 0.828260 1.43459i 0.0371526 0.0643501i
\(498\) 12.5827 13.9746i 0.563846 0.626215i
\(499\) 5.52736 + 1.79595i 0.247439 + 0.0803977i 0.430111 0.902776i \(-0.358475\pi\)
−0.182672 + 0.983174i \(0.558475\pi\)
\(500\) 13.2559 29.7734i 0.592824 1.33150i
\(501\) 13.3072 7.68291i 0.594521 0.343247i
\(502\) 39.0769i 1.74409i
\(503\) −10.9583 4.87894i −0.488606 0.217541i 0.147620 0.989044i \(-0.452839\pi\)
−0.636226 + 0.771503i \(0.719505\pi\)
\(504\) 10.0887 4.49179i 0.449388 0.200080i
\(505\) −3.88593 8.72793i −0.172921 0.388388i
\(506\) 40.7866 + 125.528i 1.81319 + 5.58041i
\(507\) 10.8471 + 11.2371i 0.481735 + 0.499059i
\(508\) 29.4257 + 90.5630i 1.30555 + 4.01808i
\(509\) −16.7190 + 15.0538i −0.741055 + 0.667249i −0.950554 0.310560i \(-0.899484\pi\)
0.209499 + 0.977809i \(0.432817\pi\)
\(510\) 4.37189 1.94649i 0.193590 0.0861920i
\(511\) 13.4745 2.86410i 0.596078 0.126700i
\(512\) 47.8203 + 15.5378i 2.11338 + 0.686679i
\(513\) 15.2620 + 1.60410i 0.673835 + 0.0708229i
\(514\) 5.71475 + 26.8858i 0.252067 + 1.18588i
\(515\) −1.19586 + 0.388558i −0.0526958 + 0.0171219i
\(516\) −28.7950 12.8204i −1.26763 0.564385i
\(517\) −12.3489 2.62484i −0.543104 0.115440i
\(518\) −12.0182 26.9934i −0.528051 1.18602i
\(519\) −0.963468 0.700000i −0.0422915 0.0307266i
\(520\) −14.1133 9.88441i −0.618908 0.433460i
\(521\) 25.6585 1.12412 0.562061 0.827096i \(-0.310009\pi\)
0.562061 + 0.827096i \(0.310009\pi\)
\(522\) 7.01781 + 4.05173i 0.307161 + 0.177340i
\(523\) −1.44168 13.7166i −0.0630401 0.599787i −0.979749 0.200231i \(-0.935831\pi\)
0.916709 0.399556i \(-0.130836\pi\)
\(524\) −6.73457 + 1.43148i −0.294201 + 0.0625344i
\(525\) −5.88154 + 1.91103i −0.256691 + 0.0834041i
\(526\) −51.1521 + 29.5327i −2.23034 + 1.28769i
\(527\) −4.78467 9.97649i −0.208423 0.434583i
\(528\) 46.3134i 2.01553i
\(529\) 35.7624 39.7181i 1.55489 1.72687i
\(530\) 5.42272 + 6.02254i 0.235548 + 0.261602i
\(531\) 15.6168 1.64140i 0.677713 0.0712305i
\(532\) 14.4742 0.627535
\(533\) 6.48652 33.3517i 0.280962 1.44462i
\(534\) −28.7558 + 20.8923i −1.24439 + 0.904099i
\(535\) 3.44049 + 7.72747i 0.148745 + 0.334088i
\(536\) −40.6087 + 18.0802i −1.75403 + 0.780945i
\(537\) −10.6394 + 11.8163i −0.459126 + 0.509911i
\(538\) 14.6559 + 20.1722i 0.631862 + 0.869684i
\(539\) −24.9213 22.4393i −1.07344 0.966528i
\(540\) −3.95859 18.6237i −0.170350 0.801436i
\(541\) −1.52769 + 2.10269i −0.0656807 + 0.0904017i −0.840594 0.541666i \(-0.817794\pi\)
0.774913 + 0.632068i \(0.217794\pi\)
\(542\) −41.8137 + 8.88777i −1.79605 + 0.381762i
\(543\) 1.16970 + 1.29908i 0.0501966 + 0.0557490i
\(544\) −3.43917 7.72451i −0.147453 0.331186i
\(545\) 0.197949 0.609224i 0.00847920 0.0260963i
\(546\) 1.56959 + 12.7943i 0.0671723 + 0.547546i
\(547\) 3.76134 2.73277i 0.160823 0.116845i −0.504463 0.863433i \(-0.668309\pi\)
0.665286 + 0.746588i \(0.268309\pi\)
\(548\) 2.91833 13.7297i 0.124665 0.586502i
\(549\) 0.333008 0.148265i 0.0142124 0.00632778i
\(550\) 6.89665 65.6172i 0.294074 2.79793i
\(551\) 3.39486 + 4.67263i 0.144626 + 0.199061i
\(552\) −54.7994 + 31.6384i −2.33242 + 1.34662i
\(553\) 2.00149 1.15556i 0.0851119 0.0491394i
\(554\) −23.3051 32.0767i −0.990138 1.36281i
\(555\) −9.25702 + 1.96764i −0.392938 + 0.0835216i
\(556\) 98.5021 + 20.9373i 4.17742 + 0.887938i
\(557\) −16.4053 9.47160i −0.695115 0.401325i 0.110411 0.993886i \(-0.464783\pi\)
−0.805525 + 0.592561i \(0.798117\pi\)
\(558\) −21.2824 + 5.15745i −0.900956 + 0.218332i
\(559\) −14.1573 + 16.2827i −0.598791 + 0.688686i
\(560\) −1.86288 5.73336i −0.0787211 0.242279i
\(561\) 10.6004 9.54467i 0.447550 0.402976i
\(562\) −2.01489 19.1704i −0.0849931 0.808655i
\(563\) −4.00209 6.93182i −0.168668 0.292141i 0.769284 0.638907i \(-0.220613\pi\)
−0.937952 + 0.346766i \(0.887280\pi\)
\(564\) 11.1298i 0.468651i
\(565\) −0.814771 + 1.83001i −0.0342777 + 0.0769890i
\(566\) −30.3016 3.18482i −1.27367 0.133868i
\(567\) −1.32020 + 1.81710i −0.0554431 + 0.0763109i
\(568\) −5.66940 + 6.29650i −0.237883 + 0.264195i
\(569\) 1.11201 + 10.5801i 0.0466179 + 0.443540i 0.992789 + 0.119874i \(0.0382489\pi\)
−0.946171 + 0.323667i \(0.895084\pi\)
\(570\) 1.40356 6.60323i 0.0587886 0.276579i
\(571\) −4.37605 + 13.4681i −0.183132 + 0.563622i −0.999911 0.0133283i \(-0.995757\pi\)
0.816779 + 0.576950i \(0.195757\pi\)
\(572\) −90.3115 27.6213i −3.77611 1.15490i
\(573\) −1.97219 + 6.06979i −0.0823896 + 0.253569i
\(574\) 20.8392 18.7637i 0.869810 0.783180i
\(575\) −34.9103 + 15.5431i −1.45586 + 0.648191i
\(576\) 3.27915 0.697005i 0.136631 0.0290419i
\(577\) −36.9353 + 12.0010i −1.53764 + 0.499608i −0.950723 0.310042i \(-0.899657\pi\)
−0.586913 + 0.809650i \(0.699657\pi\)
\(578\) −13.4123 + 30.1245i −0.557877 + 1.25301i
\(579\) 18.6226 + 16.7678i 0.773927 + 0.696847i
\(580\) 4.21197 5.79728i 0.174893 0.240719i
\(581\) 0.762615 7.25580i 0.0316386 0.301021i
\(582\) −1.95548 18.6052i −0.0810573 0.771209i
\(583\) 20.9193 + 12.0778i 0.866390 + 0.500210i
\(584\) −70.4593 −2.91563
\(585\) −4.43547 0.388519i −0.183384 0.0160633i
\(586\) 16.6463 51.2319i 0.687650 2.11637i
\(587\) 6.29769 29.6283i 0.259934 1.22289i −0.633517 0.773729i \(-0.718389\pi\)
0.893450 0.449162i \(-0.148277\pi\)
\(588\) 14.7820 25.6032i 0.609599 1.05586i
\(589\) −15.3526 2.81161i −0.632593 0.115850i
\(590\) 20.2206i 0.832468i
\(591\) 9.44013 + 8.49993i 0.388315 + 0.349640i
\(592\) 13.3204 + 62.6675i 0.547465 + 2.57562i
\(593\) 14.0344 + 19.3167i 0.576325 + 0.793243i 0.993286 0.115681i \(-0.0369051\pi\)
−0.416962 + 0.908924i \(0.636905\pi\)
\(594\) −41.3201 71.5685i −1.69538 2.93649i
\(595\) 0.928358 1.60796i 0.0380590 0.0659201i
\(596\) 7.67808 0.806999i 0.314506 0.0330560i
\(597\) 21.4597 + 15.5914i 0.878289 + 0.638114i
\(598\) 17.9098 + 77.6129i 0.732387 + 3.17383i
\(599\) −14.8106 45.5824i −0.605145 1.86245i −0.495788 0.868443i \(-0.665121\pi\)
−0.109357 0.994003i \(-0.534879\pi\)
\(600\) 31.4578 3.30635i 1.28426 0.134981i
\(601\) 26.8561 + 5.70844i 1.09548 + 0.232852i 0.719998 0.693976i \(-0.244143\pi\)
0.375485 + 0.926828i \(0.377476\pi\)
\(602\) −17.4188 + 3.70247i −0.709936 + 0.150901i
\(603\) −6.75169 + 9.29291i −0.274950 + 0.378437i
\(604\) −16.7530 78.8167i −0.681670 3.20701i
\(605\) 4.07329 + 19.1633i 0.165603 + 0.779099i
\(606\) 21.4879 29.5756i 0.872888 1.20143i
\(607\) 33.5638 7.13420i 1.36231 0.289568i 0.531942 0.846781i \(-0.321462\pi\)
0.830370 + 0.557213i \(0.188129\pi\)
\(608\) −11.6670 2.47989i −0.473158 0.100573i
\(609\) −2.89929 + 0.304728i −0.117485 + 0.0123482i
\(610\) −0.145051 0.446422i −0.00587295 0.0180751i
\(611\) −7.28569 2.22829i −0.294747 0.0901469i
\(612\) −10.9717 7.97138i −0.443503 0.322224i
\(613\) −44.8663 + 4.71564i −1.81213 + 0.190463i −0.949161 0.314791i \(-0.898066\pi\)
−0.862971 + 0.505254i \(0.831399\pi\)
\(614\) 22.3880 38.7772i 0.903506 1.56492i
\(615\) −4.49072 7.77815i −0.181083 0.313645i
\(616\) −24.9144 34.2918i −1.00383 1.38165i
\(617\) 3.87008 + 18.2073i 0.155804 + 0.732998i 0.984793 + 0.173733i \(0.0555831\pi\)
−0.828989 + 0.559265i \(0.811084\pi\)
\(618\) −3.57554 3.21943i −0.143829 0.129505i
\(619\) 13.5151i 0.543218i 0.962408 + 0.271609i \(0.0875557\pi\)
−0.962408 + 0.271609i \(0.912444\pi\)
\(620\) 2.56850 + 19.1935i 0.103153 + 0.770830i
\(621\) −23.9321 + 41.4516i −0.960362 + 1.66340i
\(622\) 5.35872 25.2108i 0.214865 1.01086i
\(623\) −4.26144 + 13.1154i −0.170731 + 0.525456i
\(624\) 2.43884 27.8427i 0.0976319 1.11460i
\(625\) 15.9558 0.638233
\(626\) −42.0390 24.2712i −1.68022 0.970074i
\(627\) −2.10328 20.0114i −0.0839969 0.799178i
\(628\) −2.10132 + 19.9927i −0.0838517 + 0.797795i
\(629\) −11.5984 + 15.9639i −0.462460 + 0.636522i
\(630\) −2.73086 2.45888i −0.108800 0.0979640i
\(631\) −13.0239 + 29.2523i −0.518475 + 1.16451i 0.444710 + 0.895675i \(0.353307\pi\)
−0.963185 + 0.268840i \(0.913360\pi\)
\(632\) −11.2424 + 3.65287i −0.447197 + 0.145303i
\(633\) −2.48510 + 0.528224i −0.0987738 + 0.0209950i
\(634\) −43.6876 + 19.4510i −1.73506 + 0.772497i
\(635\) 12.8051 11.5298i 0.508154 0.457544i
\(636\) −6.58058 + 20.2530i −0.260937 + 0.803082i
\(637\) −13.8006 14.8024i −0.546798 0.586492i
\(638\) 9.61123 29.5803i 0.380512 1.17110i
\(639\) −0.455208 + 2.14158i −0.0180077 + 0.0847198i
\(640\) −1.15691 11.0072i −0.0457307 0.435099i
\(641\) 14.4792 16.0808i 0.571896 0.635155i −0.385922 0.922531i \(-0.626117\pi\)
0.957818 + 0.287377i \(0.0927832\pi\)
\(642\) −19.0248 + 26.1854i −0.750850 + 1.03346i
\(643\) 40.5159 + 4.25839i 1.59779 + 0.167935i 0.861150 0.508351i \(-0.169745\pi\)
0.736640 + 0.676285i \(0.236411\pi\)
\(644\) −18.3620 + 41.2417i −0.723564 + 1.62515i
\(645\) 5.70364i 0.224581i
\(646\) −7.03779 12.1898i −0.276898 0.479601i
\(647\) −1.92468 18.3121i −0.0756669 0.719923i −0.964927 0.262520i \(-0.915446\pi\)
0.889260 0.457403i \(-0.151220\pi\)
\(648\) 8.53735 7.68707i 0.335379 0.301977i
\(649\) −18.6246 57.3206i −0.731080 2.25003i
\(650\) 7.60150 39.0846i 0.298155 1.53302i
\(651\) 5.10361 6.00142i 0.200026 0.235214i
\(652\) −39.6726 22.9050i −1.55370 0.897028i
\(653\) 7.89618 + 1.67839i 0.309002 + 0.0656803i 0.359803 0.933028i \(-0.382844\pi\)
−0.0508009 + 0.998709i \(0.516177\pi\)
\(654\) 2.39756 0.509618i 0.0937521 0.0199276i
\(655\) 0.732300 + 1.00792i 0.0286133 + 0.0393829i
\(656\) −52.6560 + 30.4010i −2.05587 + 1.18696i
\(657\) −15.7679 + 9.10359i −0.615164 + 0.355165i
\(658\) −3.69601 5.08712i −0.144085 0.198317i
\(659\) 3.94572 37.5410i 0.153703 1.46239i −0.597262 0.802047i \(-0.703745\pi\)
0.750965 0.660342i \(-0.229589\pi\)
\(660\) −22.8064 + 10.1541i −0.887737 + 0.395246i
\(661\) −7.53442 + 35.4467i −0.293055 + 1.37872i 0.547417 + 0.836860i \(0.315611\pi\)
−0.840472 + 0.541855i \(0.817722\pi\)
\(662\) 51.3668 37.3202i 1.99643 1.45049i
\(663\) 6.87538 5.17985i 0.267018 0.201169i
\(664\) −11.5314 + 35.4900i −0.447506 + 1.37728i
\(665\) −1.06530 2.39270i −0.0413105 0.0927850i
\(666\) 26.1320 + 29.0225i 1.01259 + 1.12460i
\(667\) −17.6206 + 3.74538i −0.682273 + 0.145022i
\(668\) −32.9583 + 45.3632i −1.27520 + 1.75516i
\(669\) 0.539150 + 2.53650i 0.0208447 + 0.0980667i
\(670\) 10.9921 + 9.89737i 0.424664 + 0.382369i
\(671\) −0.822373 1.13190i −0.0317474 0.0436965i
\(672\) 4.02846 4.47406i 0.155401 0.172591i
\(673\) 31.5080 14.0283i 1.21454 0.540750i 0.303410 0.952860i \(-0.401875\pi\)
0.911134 + 0.412110i \(0.135208\pi\)
\(674\) 25.1849 + 56.5662i 0.970086 + 2.17885i
\(675\) 19.3570 14.0636i 0.745049 0.541310i
\(676\) −52.8390 21.3611i −2.03227 0.821582i
\(677\) −6.24729 −0.240103 −0.120051 0.992768i \(-0.538306\pi\)
−0.120051 + 0.992768i \(0.538306\pi\)
\(678\) −7.62310 + 0.801220i −0.292763 + 0.0307707i
\(679\) −4.85665 5.39385i −0.186381 0.206997i
\(680\) −6.35456 + 7.05745i −0.243686 + 0.270641i
\(681\) 5.07646i 0.194531i
\(682\) 36.3461 + 75.7851i 1.39176 + 2.90196i
\(683\) 20.3668 11.7588i 0.779313 0.449936i −0.0568740 0.998381i \(-0.518113\pi\)
0.836187 + 0.548445i \(0.184780\pi\)
\(684\) −18.1942 + 5.91167i −0.695674 + 0.226038i
\(685\) −2.48441 + 0.528079i −0.0949246 + 0.0201768i
\(686\) −3.92328 37.3275i −0.149791 1.42517i
\(687\) −13.3315 7.69692i −0.508627 0.293656i
\(688\) 38.6121 1.47207
\(689\) 11.9403 + 8.36252i 0.454888 + 0.318587i
\(690\) 17.0342 + 12.3761i 0.648482 + 0.471150i
\(691\) 4.46677 + 10.0325i 0.169924 + 0.381655i 0.978354 0.206936i \(-0.0663493\pi\)
−0.808430 + 0.588592i \(0.799683\pi\)
\(692\) 4.25084 + 0.903544i 0.161593 + 0.0343476i
\(693\) −10.0061 4.45502i −0.380102 0.169232i
\(694\) −46.6817 + 15.1678i −1.77201 + 0.575762i
\(695\) −3.78865 17.8242i −0.143712 0.676110i
\(696\) 14.8293 + 1.55862i 0.562104 + 0.0590795i
\(697\) −17.8101 5.78686i −0.674606 0.219193i
\(698\) −5.27717 + 1.12170i −0.199744 + 0.0424569i
\(699\) −6.03604 + 2.68742i −0.228304 + 0.101647i
\(700\) 16.7706 15.1003i 0.633869 0.570739i
\(701\) −1.12476 3.46166i −0.0424816 0.130745i 0.927566 0.373659i \(-0.121897\pi\)
−0.970048 + 0.242914i \(0.921897\pi\)
\(702\) −21.0720 45.2014i −0.795313 1.70602i
\(703\) 8.60154 + 26.4728i 0.324413 + 0.998441i
\(704\) −5.23355 11.7547i −0.197247 0.443023i
\(705\) −1.83986 + 0.819157i −0.0692930 + 0.0308512i
\(706\) 54.3818 + 24.2123i 2.04669 + 0.911243i
\(707\) 14.1835i 0.533425i
\(708\) 46.0151 26.5668i 1.72935 0.998443i
\(709\) −6.73075 + 15.1175i −0.252779 + 0.567750i −0.994710 0.102726i \(-0.967243\pi\)
0.741931 + 0.670476i \(0.233910\pi\)
\(710\) 2.68134 + 0.871220i 0.100629 + 0.0326963i
\(711\) −2.04394 + 2.27002i −0.0766536 + 0.0851324i
\(712\) 35.2674 61.0849i 1.32170 2.28925i
\(713\) 27.4876 40.1778i 1.02942 1.50467i
\(714\) 7.10461 0.265883
\(715\) 2.08090 + 16.9622i 0.0778213 + 0.634349i
\(716\) 17.9300 55.1830i 0.670077 2.06229i
\(717\) 3.56023 0.374195i 0.132959 0.0139746i
\(718\) 0.229193 0.396975i 0.00855342 0.0148150i
\(719\) 23.3193 + 40.3902i 0.869662 + 1.50630i 0.862342 + 0.506326i \(0.168997\pi\)
0.00731982 + 0.999973i \(0.497670\pi\)
\(720\) 4.68333 + 6.44606i 0.174538 + 0.240230i
\(721\) −1.85648 0.195123i −0.0691388 0.00726678i
\(722\) 27.9973 + 2.94263i 1.04195 + 0.109513i
\(723\) 22.0960 7.17944i 0.821761 0.267006i
\(724\) −5.82752 2.59458i −0.216578 0.0964269i
\(725\) 8.80825 + 1.87225i 0.327130 + 0.0695336i
\(726\) −55.7102 + 50.1617i −2.06760 + 1.86167i
\(727\) 40.5671 + 29.4737i 1.50455 + 1.09312i 0.968525 + 0.248917i \(0.0800748\pi\)
0.536025 + 0.844202i \(0.319925\pi\)
\(728\) −13.1723 21.9275i −0.488196 0.812687i
\(729\) 7.01452 21.5885i 0.259797 0.799573i
\(730\) 9.53611 + 21.4184i 0.352947 + 0.792732i
\(731\) 7.95751 + 8.83771i 0.294319 + 0.326875i
\(732\) 0.825327 0.916619i 0.0305050 0.0338792i
\(733\) 10.6056 + 14.5973i 0.391727 + 0.539165i 0.958644 0.284610i \(-0.0918640\pi\)
−0.566917 + 0.823775i \(0.691864\pi\)
\(734\) −18.5136 16.6697i −0.683349 0.615290i
\(735\) −5.32037 0.559193i −0.196245 0.0206262i
\(736\) 21.8668 30.0971i 0.806022 1.10939i
\(737\) 40.2763 + 17.9322i 1.48360 + 0.660541i
\(738\) −18.5315 + 32.0975i −0.682154 + 1.18153i
\(739\) 10.1059 + 5.83464i 0.371751 + 0.214631i 0.674223 0.738528i \(-0.264479\pi\)
−0.302472 + 0.953158i \(0.597812\pi\)
\(740\) 27.9393 20.2991i 1.02707 0.746208i
\(741\) −0.210660 12.1412i −0.00773881 0.446018i
\(742\) 3.71783 + 11.4423i 0.136486 + 0.420061i
\(743\) −6.62460 3.82471i −0.243033 0.140315i 0.373537 0.927615i \(-0.378145\pi\)
−0.616570 + 0.787300i \(0.711478\pi\)
\(744\) −31.9156 + 24.5980i −1.17008 + 0.901805i
\(745\) −0.698511 1.20986i −0.0255914 0.0443257i
\(746\) 23.0536 7.49057i 0.844052 0.274249i
\(747\) 2.00486 + 9.43212i 0.0733539 + 0.345103i
\(748\) −21.1716 + 47.5522i −0.774111 + 1.73868i
\(749\) 12.5577i 0.458847i
\(750\) −11.2831 19.5428i −0.411999 0.713604i
\(751\) 4.71709 + 44.8801i 0.172129 + 1.63770i 0.650475 + 0.759528i \(0.274570\pi\)
−0.478346 + 0.878172i \(0.658763\pi\)
\(752\) 5.54547 + 12.4553i 0.202223 + 0.454199i
\(753\) −15.0320 10.9214i −0.547798 0.397999i
\(754\) 7.33577 17.2770i 0.267153 0.629191i
\(755\) −11.7960 + 8.57032i