Properties

Label 43.2.g.a.10.3
Level $43$
Weight $2$
Character 43.10
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 43.10
Dual form 43.2.g.a.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.581275 + 2.54673i) q^{2} +(-1.40948 - 1.30780i) q^{3} +(-4.34603 + 2.09294i) q^{4} +(2.95419 - 0.445272i) q^{5} +(2.51133 - 4.34976i) q^{6} +(-0.339884 - 0.588696i) q^{7} +(-4.59900 - 5.76696i) q^{8} +(0.0520854 + 0.695032i) q^{9} +O(q^{10})\) \(q+(0.581275 + 2.54673i) q^{2} +(-1.40948 - 1.30780i) q^{3} +(-4.34603 + 2.09294i) q^{4} +(2.95419 - 0.445272i) q^{5} +(2.51133 - 4.34976i) q^{6} +(-0.339884 - 0.588696i) q^{7} +(-4.59900 - 5.76696i) q^{8} +(0.0520854 + 0.695032i) q^{9} +(2.85118 + 7.26470i) q^{10} +(-1.98321 - 0.955063i) q^{11} +(8.86279 + 2.73381i) q^{12} +(-0.884105 + 2.25266i) q^{13} +(1.30168 - 1.20779i) q^{14} +(-4.74619 - 3.23590i) q^{15} +(5.99853 - 7.52192i) q^{16} +(-2.49942 - 0.376727i) q^{17} +(-1.73978 + 0.536652i) q^{18} +(-0.122786 + 1.63846i) q^{19} +(-11.9071 + 8.11809i) q^{20} +(-0.290840 + 1.27425i) q^{21} +(1.27950 - 5.60586i) q^{22} +(0.0324711 - 0.0221384i) q^{23} +(-1.05987 + 14.1430i) q^{24} +(3.75109 - 1.15706i) q^{25} +(-6.25084 - 0.942162i) q^{26} +(-2.76090 + 3.46206i) q^{27} +(2.70925 + 1.84713i) q^{28} +(5.57974 - 5.17724i) q^{29} +(5.48212 - 13.9682i) q^{30} +(8.56546 + 2.64209i) q^{31} +(9.35164 + 4.50351i) q^{32} +(1.54625 + 3.93979i) q^{33} +(-0.493428 - 6.58434i) q^{34} +(-1.26621 - 1.58778i) q^{35} +(-1.68102 - 2.91162i) q^{36} +(-5.57614 + 9.65816i) q^{37} +(-4.24410 + 0.639696i) q^{38} +(4.19217 - 2.01884i) q^{39} +(-16.1542 - 14.9889i) q^{40} +(0.555724 + 2.43478i) q^{41} -3.41424 q^{42} +(-6.51074 + 0.781227i) q^{43} +10.6180 q^{44} +(0.463348 + 2.03006i) q^{45} +(0.0752553 + 0.0698267i) q^{46} +(7.92075 - 3.81443i) q^{47} +(-18.2920 + 2.75708i) q^{48} +(3.26896 - 5.66200i) q^{49} +(5.12713 + 8.88045i) q^{50} +(3.03019 + 3.79974i) q^{51} +(-0.872336 - 11.6405i) q^{52} +(-2.23834 - 5.70320i) q^{53} +(-10.4218 - 5.01886i) q^{54} +(-6.28403 - 1.93837i) q^{55} +(-1.83186 + 4.66750i) q^{56} +(2.31586 - 2.14880i) q^{57} +(16.4284 + 11.2007i) q^{58} +(2.97714 - 3.73321i) q^{59} +(27.3996 + 4.12983i) q^{60} +(-4.87717 + 1.50441i) q^{61} +(-1.74982 + 23.3497i) q^{62} +(0.391459 - 0.266892i) q^{63} +(-1.75166 + 7.67453i) q^{64} +(-1.60876 + 7.04845i) q^{65} +(-9.13479 + 6.22799i) q^{66} +(0.194013 - 2.58893i) q^{67} +(11.6510 - 3.59386i) q^{68} +(-0.0747200 - 0.0112622i) q^{69} +(3.30762 - 4.14763i) q^{70} +(-7.71099 - 5.25726i) q^{71} +(3.76868 - 3.49682i) q^{72} +(-1.43804 + 3.66406i) q^{73} +(-27.8380 - 8.58689i) q^{74} +(-6.80028 - 3.27484i) q^{75} +(-2.89557 - 7.37780i) q^{76} +(0.111819 + 1.49212i) q^{77} +(7.57825 + 9.50283i) q^{78} +(3.10044 + 5.37012i) q^{79} +(14.3715 - 24.8921i) q^{80} +(10.4867 - 1.58062i) q^{81} +(-5.87772 + 2.83056i) q^{82} +(3.97087 + 3.68443i) q^{83} +(-1.40293 - 6.14666i) q^{84} -7.55150 q^{85} +(-5.77411 - 16.1270i) q^{86} -14.6353 q^{87} +(3.61296 + 15.8294i) q^{88} +(7.30600 + 6.77898i) q^{89} +(-4.90069 + 2.36005i) q^{90} +(1.62662 - 0.245174i) q^{91} +(-0.0947861 + 0.164174i) q^{92} +(-8.61749 - 14.9259i) q^{93} +(14.3185 + 17.9548i) q^{94} +(0.366830 + 4.89500i) q^{95} +(-7.29122 - 18.5777i) q^{96} +(-0.852010 - 0.410306i) q^{97} +(16.3198 + 5.03398i) q^{98} +(0.560503 - 1.42814i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.581275 + 2.54673i 0.411024 + 1.80081i 0.579348 + 0.815080i \(0.303307\pi\)
−0.168324 + 0.985732i \(0.553836\pi\)
\(3\) −1.40948 1.30780i −0.813762 0.755061i 0.158898 0.987295i \(-0.449206\pi\)
−0.972660 + 0.232234i \(0.925397\pi\)
\(4\) −4.34603 + 2.09294i −2.17301 + 1.04647i
\(5\) 2.95419 0.445272i 1.32115 0.199132i 0.549670 0.835382i \(-0.314754\pi\)
0.771483 + 0.636250i \(0.219515\pi\)
\(6\) 2.51133 4.34976i 1.02525 1.77578i
\(7\) −0.339884 0.588696i −0.128464 0.222506i 0.794618 0.607110i \(-0.207671\pi\)
−0.923082 + 0.384604i \(0.874338\pi\)
\(8\) −4.59900 5.76696i −1.62599 2.03893i
\(9\) 0.0520854 + 0.695032i 0.0173618 + 0.231677i
\(10\) 2.85118 + 7.26470i 0.901624 + 2.29730i
\(11\) −1.98321 0.955063i −0.597960 0.287962i 0.110318 0.993896i \(-0.464813\pi\)
−0.708278 + 0.705934i \(0.750527\pi\)
\(12\) 8.86279 + 2.73381i 2.55847 + 0.789182i
\(13\) −0.884105 + 2.25266i −0.245207 + 0.624776i −0.999495 0.0317667i \(-0.989887\pi\)
0.754289 + 0.656543i \(0.227982\pi\)
\(14\) 1.30168 1.20779i 0.347890 0.322795i
\(15\) −4.74619 3.23590i −1.22546 0.835505i
\(16\) 5.99853 7.52192i 1.49963 1.88048i
\(17\) −2.49942 0.376727i −0.606199 0.0913697i −0.161231 0.986917i \(-0.551547\pi\)
−0.444967 + 0.895547i \(0.646785\pi\)
\(18\) −1.73978 + 0.536652i −0.410071 + 0.126490i
\(19\) −0.122786 + 1.63846i −0.0281690 + 0.375890i 0.965248 + 0.261336i \(0.0841629\pi\)
−0.993417 + 0.114554i \(0.963456\pi\)
\(20\) −11.9071 + 8.11809i −2.66250 + 1.81526i
\(21\) −0.290840 + 1.27425i −0.0634666 + 0.278065i
\(22\) 1.27950 5.60586i 0.272790 1.19517i
\(23\) 0.0324711 0.0221384i 0.00677069 0.00461618i −0.559930 0.828540i \(-0.689172\pi\)
0.566701 + 0.823924i \(0.308220\pi\)
\(24\) −1.05987 + 14.1430i −0.216345 + 2.88693i
\(25\) 3.75109 1.15706i 0.750217 0.231411i
\(26\) −6.25084 0.942162i −1.22589 0.184773i
\(27\) −2.76090 + 3.46206i −0.531335 + 0.666273i
\(28\) 2.70925 + 1.84713i 0.511999 + 0.349075i
\(29\) 5.57974 5.17724i 1.03613 0.961389i 0.0368507 0.999321i \(-0.488267\pi\)
0.999280 + 0.0379317i \(0.0120769\pi\)
\(30\) 5.48212 13.9682i 1.00089 2.55024i
\(31\) 8.56546 + 2.64209i 1.53840 + 0.474534i 0.944087 0.329698i \(-0.106947\pi\)
0.594316 + 0.804232i \(0.297423\pi\)
\(32\) 9.35164 + 4.50351i 1.65315 + 0.796116i
\(33\) 1.54625 + 3.93979i 0.269168 + 0.685829i
\(34\) −0.493428 6.58434i −0.0846222 1.12920i
\(35\) −1.26621 1.58778i −0.214028 0.268383i
\(36\) −1.68102 2.91162i −0.280170 0.485269i
\(37\) −5.57614 + 9.65816i −0.916712 + 1.58779i −0.112336 + 0.993670i \(0.535833\pi\)
−0.804376 + 0.594121i \(0.797500\pi\)
\(38\) −4.24410 + 0.639696i −0.688485 + 0.103772i
\(39\) 4.19217 2.01884i 0.671284 0.323273i
\(40\) −16.1542 14.9889i −2.55420 2.36995i
\(41\) 0.555724 + 2.43478i 0.0867894 + 0.380249i 0.999604 0.0281239i \(-0.00895331\pi\)
−0.912815 + 0.408373i \(0.866096\pi\)
\(42\) −3.41424 −0.526829
\(43\) −6.51074 + 0.781227i −0.992878 + 0.119136i
\(44\) 10.6180 1.60072
\(45\) 0.463348 + 2.03006i 0.0690719 + 0.302624i
\(46\) 0.0752553 + 0.0698267i 0.0110958 + 0.0102954i
\(47\) 7.92075 3.81443i 1.15536 0.556392i 0.244720 0.969594i \(-0.421304\pi\)
0.910640 + 0.413202i \(0.135590\pi\)
\(48\) −18.2920 + 2.75708i −2.64022 + 0.397950i
\(49\) 3.26896 5.66200i 0.466994 0.808857i
\(50\) 5.12713 + 8.88045i 0.725085 + 1.25588i
\(51\) 3.03019 + 3.79974i 0.424312 + 0.532070i
\(52\) −0.872336 11.6405i −0.120971 1.61425i
\(53\) −2.23834 5.70320i −0.307460 0.783395i −0.998182 0.0602746i \(-0.980802\pi\)
0.690722 0.723120i \(-0.257293\pi\)
\(54\) −10.4218 5.01886i −1.41822 0.682981i
\(55\) −6.28403 1.93837i −0.847338 0.261369i
\(56\) −1.83186 + 4.66750i −0.244793 + 0.623721i
\(57\) 2.31586 2.14880i 0.306743 0.284616i
\(58\) 16.4284 + 11.2007i 2.15716 + 1.47072i
\(59\) 2.97714 3.73321i 0.387590 0.486023i −0.549311 0.835618i \(-0.685110\pi\)
0.936901 + 0.349596i \(0.113681\pi\)
\(60\) 27.3996 + 4.12983i 3.53727 + 0.533158i
\(61\) −4.87717 + 1.50441i −0.624458 + 0.192620i −0.590806 0.806814i \(-0.701190\pi\)
−0.0336523 + 0.999434i \(0.510714\pi\)
\(62\) −1.74982 + 23.3497i −0.222227 + 2.96542i
\(63\) 0.391459 0.266892i 0.0493192 0.0336253i
\(64\) −1.75166 + 7.67453i −0.218958 + 0.959317i
\(65\) −1.60876 + 7.04845i −0.199543 + 0.874253i
\(66\) −9.13479 + 6.22799i −1.12441 + 0.766613i
\(67\) 0.194013 2.58893i 0.0237025 0.316288i −0.972733 0.231928i \(-0.925497\pi\)
0.996435 0.0843595i \(-0.0268844\pi\)
\(68\) 11.6510 3.59386i 1.41289 0.435820i
\(69\) −0.0747200 0.0112622i −0.00899524 0.00135581i
\(70\) 3.30762 4.14763i 0.395337 0.495737i
\(71\) −7.71099 5.25726i −0.915126 0.623922i 0.0114889 0.999934i \(-0.496343\pi\)
−0.926615 + 0.376012i \(0.877295\pi\)
\(72\) 3.76868 3.49682i 0.444143 0.412105i
\(73\) −1.43804 + 3.66406i −0.168310 + 0.428846i −0.989996 0.141093i \(-0.954938\pi\)
0.821687 + 0.569940i \(0.193033\pi\)
\(74\) −27.8380 8.58689i −3.23610 0.998206i
\(75\) −6.80028 3.27484i −0.785229 0.378146i
\(76\) −2.89557 7.37780i −0.332145 0.846292i
\(77\) 0.111819 + 1.49212i 0.0127429 + 0.170042i
\(78\) 7.57825 + 9.50283i 0.858068 + 1.07598i
\(79\) 3.10044 + 5.37012i 0.348827 + 0.604186i 0.986041 0.166501i \(-0.0532469\pi\)
−0.637215 + 0.770686i \(0.719914\pi\)
\(80\) 14.3715 24.8921i 1.60678 2.78303i
\(81\) 10.4867 1.58062i 1.16519 0.175624i
\(82\) −5.87772 + 2.83056i −0.649085 + 0.312583i
\(83\) 3.97087 + 3.68443i 0.435860 + 0.404419i 0.867350 0.497699i \(-0.165821\pi\)
−0.431490 + 0.902118i \(0.642012\pi\)
\(84\) −1.40293 6.14666i −0.153073 0.670655i
\(85\) −7.55150 −0.819075
\(86\) −5.77411 16.1270i −0.622638 1.73902i
\(87\) −14.6353 −1.56907
\(88\) 3.61296 + 15.8294i 0.385143 + 1.68742i
\(89\) 7.30600 + 6.77898i 0.774435 + 0.718570i 0.964754 0.263152i \(-0.0847620\pi\)
−0.190320 + 0.981722i \(0.560952\pi\)
\(90\) −4.90069 + 2.36005i −0.516578 + 0.248771i
\(91\) 1.62662 0.245174i 0.170517 0.0257012i
\(92\) −0.0947861 + 0.164174i −0.00988213 + 0.0171163i
\(93\) −8.61749 14.9259i −0.893592 1.54775i
\(94\) 14.3185 + 17.9548i 1.47684 + 1.85190i
\(95\) 0.366830 + 4.89500i 0.0376359 + 0.502217i
\(96\) −7.29122 18.5777i −0.744157 1.89608i
\(97\) −0.852010 0.410306i −0.0865085 0.0416603i 0.390129 0.920760i \(-0.372430\pi\)
−0.476638 + 0.879100i \(0.658145\pi\)
\(98\) 16.3198 + 5.03398i 1.64855 + 0.508509i
\(99\) 0.560503 1.42814i 0.0563326 0.143533i
\(100\) −13.8807 + 12.8794i −1.38807 + 1.28794i
\(101\) −12.0268 8.19971i −1.19671 0.815901i −0.209888 0.977725i \(-0.567310\pi\)
−0.986820 + 0.161824i \(0.948262\pi\)
\(102\) −7.91555 + 9.92579i −0.783757 + 0.982800i
\(103\) −0.475530 0.0716747i −0.0468554 0.00706231i 0.125573 0.992084i \(-0.459923\pi\)
−0.172428 + 0.985022i \(0.555161\pi\)
\(104\) 17.0570 5.26139i 1.67258 0.515922i
\(105\) −0.291807 + 3.89389i −0.0284774 + 0.380005i
\(106\) 13.2234 9.01559i 1.28437 0.875671i
\(107\) −0.415643 + 1.82105i −0.0401817 + 0.176047i −0.991037 0.133588i \(-0.957350\pi\)
0.950855 + 0.309636i \(0.100207\pi\)
\(108\) 4.75308 20.8246i 0.457365 2.00385i
\(109\) 3.78562 2.58100i 0.362597 0.247214i −0.368293 0.929710i \(-0.620058\pi\)
0.730890 + 0.682495i \(0.239105\pi\)
\(110\) 1.28375 17.1305i 0.122401 1.63333i
\(111\) 20.4904 6.32046i 1.94486 0.599911i
\(112\) −6.46693 0.974732i −0.611067 0.0921035i
\(113\) 8.37826 10.5060i 0.788161 0.988322i −0.211779 0.977318i \(-0.567926\pi\)
0.999939 0.0110047i \(-0.00350297\pi\)
\(114\) 6.81857 + 4.64882i 0.638618 + 0.435402i
\(115\) 0.0860681 0.0798595i 0.00802589 0.00744694i
\(116\) −13.4141 + 34.1785i −1.24546 + 3.17339i
\(117\) −1.61172 0.497150i −0.149004 0.0459615i
\(118\) 11.2380 + 5.41195i 1.03454 + 0.498210i
\(119\) 0.627734 + 1.59944i 0.0575443 + 0.146621i
\(120\) 3.16642 + 42.2530i 0.289054 + 3.85715i
\(121\) −3.83742 4.81197i −0.348856 0.437452i
\(122\) −6.66631 11.5464i −0.603539 1.04536i
\(123\) 2.40094 4.15855i 0.216486 0.374964i
\(124\) −42.7555 + 6.44435i −3.83956 + 0.578720i
\(125\) −2.89227 + 1.39284i −0.258692 + 0.124580i
\(126\) 0.907249 + 0.841804i 0.0808241 + 0.0749938i
\(127\) 0.0467262 + 0.204721i 0.00414628 + 0.0181660i 0.976959 0.213428i \(-0.0684630\pi\)
−0.972812 + 0.231594i \(0.925606\pi\)
\(128\) 0.195885 0.0173140
\(129\) 10.1984 + 7.41365i 0.897922 + 0.652735i
\(130\) −18.8857 −1.65638
\(131\) 2.11433 + 9.26347i 0.184730 + 0.809353i 0.979338 + 0.202231i \(0.0648191\pi\)
−0.794608 + 0.607122i \(0.792324\pi\)
\(132\) −14.9658 13.8862i −1.30261 1.20864i
\(133\) 1.00629 0.484604i 0.0872564 0.0420205i
\(134\) 6.70608 1.01078i 0.579317 0.0873180i
\(135\) −6.61465 + 11.4569i −0.569299 + 0.986054i
\(136\) 9.32226 + 16.1466i 0.799377 + 1.38456i
\(137\) 3.69528 + 4.63374i 0.315709 + 0.395887i 0.914214 0.405233i \(-0.132809\pi\)
−0.598504 + 0.801120i \(0.704238\pi\)
\(138\) −0.0147510 0.196838i −0.00125569 0.0167560i
\(139\) 3.99725 + 10.1848i 0.339043 + 0.863866i 0.994118 + 0.108303i \(0.0345416\pi\)
−0.655075 + 0.755563i \(0.727363\pi\)
\(140\) 8.82610 + 4.25042i 0.745941 + 0.359226i
\(141\) −16.1527 4.98243i −1.36030 0.419597i
\(142\) 8.90664 22.6937i 0.747429 1.90442i
\(143\) 3.90480 3.62312i 0.326536 0.302981i
\(144\) 5.54041 + 3.77739i 0.461701 + 0.314782i
\(145\) 14.1783 17.7790i 1.17744 1.47647i
\(146\) −10.1673 1.53247i −0.841451 0.126828i
\(147\) −12.0123 + 3.70531i −0.990759 + 0.305609i
\(148\) 4.02015 53.6451i 0.330454 4.40960i
\(149\) −8.61865 + 5.87610i −0.706068 + 0.481389i −0.862343 0.506325i \(-0.831004\pi\)
0.156275 + 0.987714i \(0.450051\pi\)
\(150\) 4.38731 19.2221i 0.358223 1.56948i
\(151\) −2.08440 + 9.13237i −0.169626 + 0.743181i 0.816522 + 0.577315i \(0.195899\pi\)
−0.986148 + 0.165867i \(0.946958\pi\)
\(152\) 10.0137 6.82719i 0.812215 0.553759i
\(153\) 0.131654 1.75680i 0.0106436 0.142029i
\(154\) −3.73502 + 1.15210i −0.300977 + 0.0928390i
\(155\) 26.4804 + 3.99128i 2.12696 + 0.320587i
\(156\) −13.9940 + 17.5479i −1.12041 + 1.40496i
\(157\) −5.96209 4.06488i −0.475827 0.324413i 0.301548 0.953451i \(-0.402497\pi\)
−0.777375 + 0.629038i \(0.783449\pi\)
\(158\) −11.8740 + 11.0175i −0.944649 + 0.876506i
\(159\) −4.30378 + 10.9659i −0.341312 + 0.869648i
\(160\) 29.6318 + 9.14019i 2.34260 + 0.722596i
\(161\) −0.0240692 0.0115911i −0.00189692 0.000913507i
\(162\) 10.1211 + 25.7881i 0.795187 + 2.02610i
\(163\) −0.580643 7.74814i −0.0454795 0.606881i −0.972655 0.232254i \(-0.925390\pi\)
0.927176 0.374627i \(-0.122229\pi\)
\(164\) −7.51104 9.41855i −0.586514 0.735465i
\(165\) 6.32220 + 10.9504i 0.492182 + 0.852485i
\(166\) −7.07510 + 12.2544i −0.549134 + 0.951128i
\(167\) 11.5269 1.73741i 0.891981 0.134445i 0.312969 0.949763i \(-0.398676\pi\)
0.579012 + 0.815319i \(0.303438\pi\)
\(168\) 8.68615 4.18303i 0.670151 0.322728i
\(169\) 5.23683 + 4.85907i 0.402833 + 0.373774i
\(170\) −4.38950 19.2317i −0.336659 1.47500i
\(171\) −1.14518 −0.0875741
\(172\) 26.6608 17.0218i 2.03287 1.29790i
\(173\) −5.35127 −0.406849 −0.203425 0.979091i \(-0.565207\pi\)
−0.203425 + 0.979091i \(0.565207\pi\)
\(174\) −8.50715 37.2723i −0.644926 2.82560i
\(175\) −1.95609 1.81498i −0.147866 0.137200i
\(176\) −19.0803 + 9.18856i −1.43823 + 0.692614i
\(177\) −9.07852 + 1.36837i −0.682383 + 0.102853i
\(178\) −13.0175 + 22.5469i −0.975699 + 1.68996i
\(179\) −7.01753 12.1547i −0.524515 0.908487i −0.999593 0.0285427i \(-0.990913\pi\)
0.475078 0.879944i \(-0.342420\pi\)
\(180\) −6.26252 7.85295i −0.466780 0.585324i
\(181\) −1.45930 19.4730i −0.108469 1.44742i −0.740283 0.672296i \(-0.765308\pi\)
0.631814 0.775120i \(-0.282311\pi\)
\(182\) 1.56991 + 4.00007i 0.116369 + 0.296505i
\(183\) 8.84174 + 4.25796i 0.653600 + 0.314757i
\(184\) −0.277006 0.0854450i −0.0204212 0.00629909i
\(185\) −12.1724 + 31.0149i −0.894936 + 2.28026i
\(186\) 33.0032 30.6225i 2.41991 2.24535i
\(187\) 4.59707 + 3.13423i 0.336171 + 0.229198i
\(188\) −26.4404 + 33.1553i −1.92837 + 2.41810i
\(189\) 2.97648 + 0.448632i 0.216507 + 0.0326332i
\(190\) −12.2530 + 3.77956i −0.888929 + 0.274198i
\(191\) 0.651998 8.70031i 0.0471769 0.629533i −0.922634 0.385676i \(-0.873968\pi\)
0.969811 0.243857i \(-0.0784127\pi\)
\(192\) 12.5057 8.52626i 0.902523 0.615329i
\(193\) 4.33067 18.9739i 0.311729 1.36577i −0.539945 0.841700i \(-0.681555\pi\)
0.851674 0.524072i \(-0.175588\pi\)
\(194\) 0.549688 2.40834i 0.0394653 0.172909i
\(195\) 11.4855 7.83069i 0.822495 0.560767i
\(196\) −2.35677 + 31.4490i −0.168341 + 2.24635i
\(197\) −22.2716 + 6.86986i −1.58678 + 0.489458i −0.957673 0.287859i \(-0.907057\pi\)
−0.629110 + 0.777317i \(0.716580\pi\)
\(198\) 3.96289 + 0.597310i 0.281630 + 0.0424489i
\(199\) −11.7392 + 14.7205i −0.832169 + 1.04351i 0.166181 + 0.986095i \(0.446856\pi\)
−0.998351 + 0.0574120i \(0.981715\pi\)
\(200\) −23.9239 16.3111i −1.69168 1.15337i
\(201\) −3.65927 + 3.39530i −0.258105 + 0.239486i
\(202\) 13.8916 35.3952i 0.977410 2.49040i
\(203\) −4.94428 1.52511i −0.347020 0.107042i
\(204\) −21.1219 10.1718i −1.47883 0.712168i
\(205\) 2.72585 + 6.94536i 0.190382 + 0.485085i
\(206\) −0.0938777 1.25271i −0.00654077 0.0872805i
\(207\) 0.0170782 + 0.0214154i 0.00118702 + 0.00148847i
\(208\) 11.6410 + 20.1628i 0.807160 + 1.39804i
\(209\) 1.80835 3.13215i 0.125086 0.216655i
\(210\) −10.0863 + 1.52027i −0.696022 + 0.104908i
\(211\) −14.0286 + 6.75583i −0.965770 + 0.465090i −0.849188 0.528091i \(-0.822908\pi\)
−0.116582 + 0.993181i \(0.537194\pi\)
\(212\) 21.6643 + 20.1016i 1.48791 + 1.38058i
\(213\) 3.99300 + 17.4945i 0.273596 + 1.19870i
\(214\) −4.87933 −0.333544
\(215\) −18.8861 + 5.20694i −1.28802 + 0.355110i
\(216\) 32.6629 2.22243
\(217\) −1.35587 5.94045i −0.0920424 0.403264i
\(218\) 8.77359 + 8.14071i 0.594223 + 0.551358i
\(219\) 6.81876 3.28374i 0.460769 0.221895i
\(220\) 31.3675 4.72788i 2.11479 0.318754i
\(221\) 3.05839 5.29729i 0.205730 0.356334i
\(222\) 28.0071 + 48.5097i 1.87971 + 3.25576i
\(223\) −11.3004 14.1702i −0.756730 0.948909i 0.243048 0.970014i \(-0.421853\pi\)
−0.999777 + 0.0211054i \(0.993281\pi\)
\(224\) −0.527271 7.03594i −0.0352297 0.470108i
\(225\) 0.999568 + 2.54686i 0.0666379 + 0.169791i
\(226\) 31.6261 + 15.2303i 2.10374 + 1.01311i
\(227\) 23.8281 + 7.34998i 1.58152 + 0.487836i 0.956245 0.292566i \(-0.0945091\pi\)
0.625279 + 0.780402i \(0.284985\pi\)
\(228\) −5.56747 + 14.1857i −0.368715 + 0.939470i
\(229\) −0.350174 + 0.324914i −0.0231402 + 0.0214709i −0.691658 0.722225i \(-0.743119\pi\)
0.668518 + 0.743696i \(0.266929\pi\)
\(230\) 0.253410 + 0.172772i 0.0167094 + 0.0113923i
\(231\) 1.79379 2.24934i 0.118023 0.147996i
\(232\) −55.5181 8.36801i −3.64494 0.549387i
\(233\) −10.0428 + 3.09778i −0.657924 + 0.202943i −0.605700 0.795693i \(-0.707107\pi\)
−0.0522233 + 0.998635i \(0.516631\pi\)
\(234\) 0.329255 4.39360i 0.0215241 0.287219i
\(235\) 21.7009 14.7954i 1.41561 0.965147i
\(236\) −5.12535 + 22.4556i −0.333632 + 1.46174i
\(237\) 2.65306 11.6238i 0.172335 0.755049i
\(238\) −3.70846 + 2.52839i −0.240384 + 0.163891i
\(239\) 0.952467 12.7098i 0.0616099 0.822127i −0.877733 0.479149i \(-0.840945\pi\)
0.939343 0.342978i \(-0.111436\pi\)
\(240\) −52.8103 + 16.2898i −3.40889 + 1.05150i
\(241\) 4.44144 + 0.669439i 0.286098 + 0.0431224i 0.290524 0.956868i \(-0.406171\pi\)
−0.00442537 + 0.999990i \(0.501409\pi\)
\(242\) 10.0242 12.5700i 0.644380 0.808027i
\(243\) −5.87182 4.00334i −0.376678 0.256815i
\(244\) 18.0477 16.7458i 1.15539 1.07204i
\(245\) 7.13598 18.1822i 0.455901 1.16162i
\(246\) 11.9863 + 3.69729i 0.764220 + 0.235731i
\(247\) −3.58235 1.72517i −0.227940 0.109770i
\(248\) −24.1557 61.5477i −1.53389 3.90828i
\(249\) −0.778342 10.3863i −0.0493254 0.658202i
\(250\) −5.22840 6.55620i −0.330673 0.414651i
\(251\) 1.16008 + 2.00931i 0.0732233 + 0.126827i 0.900312 0.435245i \(-0.143338\pi\)
−0.827089 + 0.562071i \(0.810005\pi\)
\(252\) −1.14270 + 1.97922i −0.0719836 + 0.124679i
\(253\) −0.0855406 + 0.0128932i −0.00537789 + 0.000810586i
\(254\) −0.494208 + 0.237998i −0.0310094 + 0.0149333i
\(255\) 10.6437 + 9.87589i 0.666533 + 0.618452i
\(256\) 3.61719 + 15.8479i 0.226074 + 0.990496i
\(257\) 0.450674 0.0281123 0.0140561 0.999901i \(-0.495526\pi\)
0.0140561 + 0.999901i \(0.495526\pi\)
\(258\) −12.9525 + 30.2820i −0.806386 + 1.88528i
\(259\) 7.58095 0.471057
\(260\) −7.76024 33.9998i −0.481269 2.10858i
\(261\) 3.88897 + 3.60843i 0.240721 + 0.223357i
\(262\) −22.3626 + 10.7692i −1.38156 + 0.665326i
\(263\) −7.56220 + 1.13982i −0.466305 + 0.0702842i −0.377993 0.925809i \(-0.623386\pi\)
−0.0883127 + 0.996093i \(0.528147\pi\)
\(264\) 15.6094 27.0363i 0.960692 1.66397i
\(265\) −9.15195 15.8517i −0.562200 0.973759i
\(266\) 1.81909 + 2.28106i 0.111535 + 0.139861i
\(267\) −1.43207 19.1096i −0.0876413 1.16949i
\(268\) 4.57527 + 11.6576i 0.279479 + 0.712102i
\(269\) 20.2042 + 9.72982i 1.23187 + 0.593238i 0.932593 0.360929i \(-0.117540\pi\)
0.299277 + 0.954166i \(0.403255\pi\)
\(270\) −33.0226 10.1861i −2.00969 0.619908i
\(271\) −2.35324 + 5.99596i −0.142949 + 0.364229i −0.984360 0.176167i \(-0.943630\pi\)
0.841411 + 0.540396i \(0.181725\pi\)
\(272\) −17.8266 + 16.5406i −1.08089 + 1.00292i
\(273\) −2.61333 1.78174i −0.158166 0.107836i
\(274\) −9.65292 + 12.1044i −0.583154 + 0.731252i
\(275\) −8.54425 1.28784i −0.515238 0.0776596i
\(276\) 0.348307 0.107438i 0.0209656 0.00646703i
\(277\) −1.04050 + 13.8845i −0.0625177 + 0.834240i 0.874515 + 0.484999i \(0.161180\pi\)
−0.937033 + 0.349242i \(0.886439\pi\)
\(278\) −23.6145 + 16.1001i −1.41631 + 0.965621i
\(279\) −1.39020 + 6.09088i −0.0832293 + 0.364652i
\(280\) −3.33335 + 14.6044i −0.199206 + 0.872777i
\(281\) −5.10601 + 3.48122i −0.304599 + 0.207672i −0.705967 0.708245i \(-0.749487\pi\)
0.401368 + 0.915917i \(0.368535\pi\)
\(282\) 3.29979 44.0327i 0.196500 2.62211i
\(283\) −1.04493 + 0.322319i −0.0621148 + 0.0191599i −0.325657 0.945488i \(-0.605585\pi\)
0.263542 + 0.964648i \(0.415109\pi\)
\(284\) 44.5153 + 6.70960i 2.64150 + 0.398142i
\(285\) 5.88467 7.37914i 0.348578 0.437103i
\(286\) 11.4969 + 7.83845i 0.679825 + 0.463497i
\(287\) 1.24447 1.15469i 0.0734585 0.0681595i
\(288\) −2.64300 + 6.73425i −0.155740 + 0.396820i
\(289\) −10.1396 3.12764i −0.596444 0.183979i
\(290\) 53.5199 + 25.7738i 3.14280 + 1.51349i
\(291\) 0.664289 + 1.69258i 0.0389413 + 0.0992208i
\(292\) −1.41890 18.9339i −0.0830346 1.10802i
\(293\) 11.3840 + 14.2751i 0.665059 + 0.833958i 0.993884 0.110433i \(-0.0352238\pi\)
−0.328824 + 0.944391i \(0.606652\pi\)
\(294\) −16.4189 28.4384i −0.957569 1.65856i
\(295\) 7.13272 12.3542i 0.415283 0.719292i
\(296\) 81.3429 12.2605i 4.72796 0.712625i
\(297\) 8.78192 4.22915i 0.509579 0.245400i
\(298\) −19.9747 18.5338i −1.15710 1.07363i
\(299\) 0.0211625 + 0.0927191i 0.00122386 + 0.00536209i
\(300\) 36.4082 2.10203
\(301\) 2.67280 + 3.56731i 0.154057 + 0.205617i
\(302\) −24.4693 −1.40805
\(303\) 6.22784 + 27.2860i 0.357780 + 1.56754i
\(304\) 11.5879 + 10.7520i 0.664610 + 0.616668i
\(305\) −13.7382 + 6.61597i −0.786648 + 0.378830i
\(306\) 4.55062 0.685896i 0.260142 0.0392101i
\(307\) −9.05158 + 15.6778i −0.516601 + 0.894779i 0.483213 + 0.875503i \(0.339470\pi\)
−0.999814 + 0.0192762i \(0.993864\pi\)
\(308\) −3.60887 6.25075i −0.205635 0.356170i
\(309\) 0.576513 + 0.722925i 0.0327967 + 0.0411257i
\(310\) 5.22768 + 69.7586i 0.296912 + 3.96202i
\(311\) −6.32352 16.1121i −0.358574 0.913631i −0.990364 0.138491i \(-0.955775\pi\)
0.631790 0.775140i \(-0.282321\pi\)
\(312\) −30.9224 14.8914i −1.75063 0.843061i
\(313\) 6.21930 + 1.91840i 0.351535 + 0.108434i 0.465494 0.885051i \(-0.345877\pi\)
−0.113958 + 0.993486i \(0.536353\pi\)
\(314\) 6.88656 17.5467i 0.388631 0.990216i
\(315\) 1.03760 0.962755i 0.0584623 0.0542451i
\(316\) −24.7139 16.8497i −1.39027 0.947868i
\(317\) 8.24997 10.3451i 0.463365 0.581041i −0.494168 0.869367i \(-0.664527\pi\)
0.957532 + 0.288326i \(0.0930985\pi\)
\(318\) −30.4288 4.58640i −1.70636 0.257192i
\(319\) −16.0104 + 4.93854i −0.896409 + 0.276505i
\(320\) −1.75748 + 23.4520i −0.0982463 + 1.31101i
\(321\) 2.96741 2.02315i 0.165625 0.112921i
\(322\) 0.0155286 0.0680354i 0.000865377 0.00379147i
\(323\) 0.924148 4.04896i 0.0514210 0.225290i
\(324\) −42.2674 + 28.8174i −2.34819 + 1.60097i
\(325\) −0.709895 + 9.47289i −0.0393779 + 0.525462i
\(326\) 19.3949 5.98254i 1.07419 0.331342i
\(327\) −8.71119 1.31300i −0.481730 0.0726091i
\(328\) 11.4855 14.4024i 0.634182 0.795240i
\(329\) −4.93767 3.36645i −0.272223 0.185598i
\(330\) −24.2127 + 22.4661i −1.33287 + 1.23672i
\(331\) −3.89417 + 9.92219i −0.214043 + 0.545373i −0.997060 0.0766279i \(-0.975585\pi\)
0.783017 + 0.622001i \(0.213680\pi\)
\(332\) −24.9688 7.70186i −1.37034 0.422695i
\(333\) −7.00316 3.37254i −0.383771 0.184814i
\(334\) 11.1250 + 28.3461i 0.608735 + 1.55103i
\(335\) −0.579625 7.73456i −0.0316683 0.422584i
\(336\) 7.84023 + 9.83134i 0.427720 + 0.536343i
\(337\) 15.8233 + 27.4068i 0.861953 + 1.49295i 0.870042 + 0.492978i \(0.164092\pi\)
−0.00808906 + 0.999967i \(0.502575\pi\)
\(338\) −9.33070 + 16.1613i −0.507523 + 0.879056i
\(339\) −25.5488 + 3.85086i −1.38762 + 0.209150i
\(340\) 32.8191 15.8048i 1.77986 0.857137i
\(341\) −14.4637 13.4204i −0.783255 0.726754i
\(342\) −0.665665 2.91647i −0.0359950 0.157705i
\(343\) −9.20263 −0.496895
\(344\) 34.4482 + 33.9543i 1.85732 + 1.83069i
\(345\) −0.225752 −0.0121541
\(346\) −3.11056 13.6283i −0.167225 0.732659i
\(347\) −24.8966 23.1007i −1.33652 1.24011i −0.947843 0.318738i \(-0.896741\pi\)
−0.388679 0.921373i \(-0.627068\pi\)
\(348\) 63.6056 30.6308i 3.40962 1.64199i
\(349\) 34.7537 5.23828i 1.86032 0.280399i 0.879589 0.475735i \(-0.157818\pi\)
0.980736 + 0.195336i \(0.0625799\pi\)
\(350\) 3.48525 6.03664i 0.186295 0.322672i
\(351\) −5.35792 9.28020i −0.285985 0.495340i
\(352\) −14.2451 17.8628i −0.759267 0.952091i
\(353\) 0.821043 + 10.9561i 0.0436997 + 0.583132i 0.975477 + 0.220101i \(0.0706388\pi\)
−0.931777 + 0.363030i \(0.881742\pi\)
\(354\) −8.76198 22.3252i −0.465694 1.18657i
\(355\) −25.1206 12.0974i −1.33326 0.642066i
\(356\) −45.9401 14.1706i −2.43482 0.751042i
\(357\) 1.20698 3.07533i 0.0638801 0.162764i
\(358\) 26.8757 24.9370i 1.42043 1.31796i
\(359\) −11.5329 7.86296i −0.608681 0.414991i 0.219372 0.975641i \(-0.429599\pi\)
−0.828053 + 0.560650i \(0.810551\pi\)
\(360\) 9.57634 12.0084i 0.504718 0.632896i
\(361\) 16.1183 + 2.42944i 0.848331 + 0.127865i
\(362\) 48.7442 15.0356i 2.56194 0.790254i
\(363\) −0.884359 + 11.8010i −0.0464168 + 0.619390i
\(364\) −6.55623 + 4.46996i −0.343640 + 0.234289i
\(365\) −2.61673 + 11.4646i −0.136966 + 0.600087i
\(366\) −5.70440 + 24.9926i −0.298174 + 1.30638i
\(367\) 23.0999 15.7492i 1.20580 0.822104i 0.217719 0.976011i \(-0.430138\pi\)
0.988085 + 0.153908i \(0.0491859\pi\)
\(368\) 0.0282555 0.377043i 0.00147292 0.0196547i
\(369\) −1.66331 + 0.513062i −0.0865883 + 0.0267090i
\(370\) −86.0622 12.9718i −4.47416 0.674371i
\(371\) −2.59667 + 3.25613i −0.134813 + 0.169050i
\(372\) 68.6909 + 46.8326i 3.56146 + 2.42816i
\(373\) −0.876784 + 0.813537i −0.0453982 + 0.0421234i −0.702546 0.711639i \(-0.747953\pi\)
0.657147 + 0.753762i \(0.271763\pi\)
\(374\) −5.30989 + 13.5294i −0.274568 + 0.699587i
\(375\) 5.89815 + 1.81934i 0.304579 + 0.0939502i
\(376\) −58.4252 28.1361i −3.01305 1.45101i
\(377\) 6.72950 + 17.1465i 0.346587 + 0.883089i
\(378\) 0.587608 + 7.84108i 0.0302233 + 0.403302i
\(379\) 20.5142 + 25.7239i 1.05374 + 1.32135i 0.944925 + 0.327288i \(0.106135\pi\)
0.108817 + 0.994062i \(0.465294\pi\)
\(380\) −11.8392 20.5061i −0.607338 1.05194i
\(381\) 0.201875 0.349658i 0.0103424 0.0179135i
\(382\) 22.5364 3.39681i 1.15306 0.173796i
\(383\) 0.101772 0.0490107i 0.00520029 0.00250433i −0.431282 0.902217i \(-0.641939\pi\)
0.436482 + 0.899713i \(0.356224\pi\)
\(384\) −0.276096 0.256180i −0.0140895 0.0130731i
\(385\) 0.994730 + 4.35820i 0.0506962 + 0.222114i
\(386\) 50.8388 2.58763
\(387\) −0.882092 4.48448i −0.0448393 0.227959i
\(388\) 4.56161 0.231580
\(389\) 3.94066 + 17.2652i 0.199800 + 0.875379i 0.971056 + 0.238854i \(0.0767717\pi\)
−0.771256 + 0.636525i \(0.780371\pi\)
\(390\) 26.6189 + 24.6987i 1.34790 + 1.25067i
\(391\) −0.0894991 + 0.0431005i −0.00452617 + 0.00217969i
\(392\) −47.6865 + 7.18758i −2.40853 + 0.363028i
\(393\) 9.13471 15.8218i 0.460785 0.798103i
\(394\) −30.4416 52.7264i −1.53363 2.65632i
\(395\) 11.5504 + 14.4838i 0.581166 + 0.728759i
\(396\) 0.553041 + 7.37982i 0.0277914 + 0.370850i
\(397\) 3.79333 + 9.66525i 0.190382 + 0.485085i 0.993912 0.110179i \(-0.0351425\pi\)
−0.803530 + 0.595264i \(0.797047\pi\)
\(398\) −44.3128 21.3399i −2.22120 1.06967i
\(399\) −2.05211 0.632992i −0.102734 0.0316892i
\(400\) 13.7977 35.1560i 0.689886 1.75780i
\(401\) −26.5760 + 24.6589i −1.32714 + 1.23141i −0.374532 + 0.927214i \(0.622197\pi\)
−0.952610 + 0.304194i \(0.901613\pi\)
\(402\) −10.7740 7.34557i −0.537357 0.366364i
\(403\) −13.5245 + 16.9592i −0.673704 + 0.844798i
\(404\) 69.4301 + 10.4649i 3.45428 + 0.520649i
\(405\) 30.2759 9.33888i 1.50442 0.464052i
\(406\) 1.01006 13.4783i 0.0501282 0.668915i
\(407\) 20.2828 13.8286i 1.00538 0.685457i
\(408\) 7.97711 34.9500i 0.394926 1.73028i
\(409\) 4.39223 19.2436i 0.217182 0.951535i −0.742367 0.669993i \(-0.766297\pi\)
0.959549 0.281542i \(-0.0908458\pi\)
\(410\) −16.1035 + 10.9792i −0.795295 + 0.542223i
\(411\) 0.851604 11.3639i 0.0420065 0.560538i
\(412\) 2.21668 0.683755i 0.109208 0.0336862i
\(413\) −3.20960 0.483770i −0.157934 0.0238048i
\(414\) −0.0446121 + 0.0559418i −0.00219256 + 0.00274939i
\(415\) 13.3713 + 9.11638i 0.656370 + 0.447506i
\(416\) −18.4127 + 17.0845i −0.902758 + 0.837637i
\(417\) 7.68573 19.5829i 0.376372 0.958980i
\(418\) 9.02789 + 2.78474i 0.441569 + 0.136206i
\(419\) −13.3314 6.42007i −0.651282 0.313641i 0.0789110 0.996882i \(-0.474856\pi\)
−0.730193 + 0.683241i \(0.760570\pi\)
\(420\) −6.88146 17.5337i −0.335781 0.855556i
\(421\) 1.94811 + 25.9957i 0.0949450 + 1.26695i 0.817617 + 0.575762i \(0.195295\pi\)
−0.722672 + 0.691191i \(0.757086\pi\)
\(422\) −25.3598 31.8001i −1.23449 1.54801i
\(423\) 3.06371 + 5.30650i 0.148963 + 0.258011i
\(424\) −22.5960 + 39.1374i −1.09736 + 1.90068i
\(425\) −9.81144 + 1.47884i −0.475925 + 0.0717341i
\(426\) −42.2327 + 20.3382i −2.04618 + 0.985389i
\(427\) 2.54331 + 2.35985i 0.123079 + 0.114201i
\(428\) −2.00495 8.78425i −0.0969128 0.424603i
\(429\) −10.2421 −0.494491
\(430\) −24.2387 45.0711i −1.16889 2.17352i
\(431\) 22.7264 1.09469 0.547345 0.836907i \(-0.315638\pi\)
0.547345 + 0.836907i \(0.315638\pi\)
\(432\) 9.47999 + 41.5345i 0.456106 + 1.99833i
\(433\) 8.63794 + 8.01484i 0.415113 + 0.385169i 0.859896 0.510470i \(-0.170529\pi\)
−0.444782 + 0.895639i \(0.646719\pi\)
\(434\) 14.3406 6.90608i 0.688371 0.331502i
\(435\) −43.2355 + 6.51670i −2.07298 + 0.312452i
\(436\) −11.0506 + 19.1402i −0.529227 + 0.916647i
\(437\) 0.0322860 + 0.0559211i 0.00154445 + 0.00267507i
\(438\) 12.3264 + 15.4568i 0.588978 + 0.738555i
\(439\) −1.27757 17.0480i −0.0609753 0.813659i −0.940930 0.338601i \(-0.890046\pi\)
0.879955 0.475058i \(-0.157573\pi\)
\(440\) 17.7218 + 45.1543i 0.844852 + 2.15265i
\(441\) 4.10554 + 1.97712i 0.195502 + 0.0941487i
\(442\) 15.2685 + 4.70972i 0.726250 + 0.224019i
\(443\) 14.5169 36.9885i 0.689719 1.75738i 0.0375580 0.999294i \(-0.488042\pi\)
0.652161 0.758081i \(-0.273863\pi\)
\(444\) −75.8237 + 70.3541i −3.59843 + 3.33886i
\(445\) 24.6018 + 16.7732i 1.16624 + 0.795127i
\(446\) 29.5192 37.0159i 1.39777 1.75275i
\(447\) 19.8326 + 2.98928i 0.938049 + 0.141388i
\(448\) 5.11333 1.57725i 0.241582 0.0745181i
\(449\) −1.53481 + 20.4806i −0.0724321 + 0.966539i 0.836060 + 0.548638i \(0.184853\pi\)
−0.908492 + 0.417901i \(0.862766\pi\)
\(450\) −5.90514 + 4.02606i −0.278371 + 0.189790i
\(451\) 1.22326 5.35943i 0.0576009 0.252366i
\(452\) −14.4238 + 63.1946i −0.678436 + 2.97242i
\(453\) 14.8813 10.1459i 0.699183 0.476695i
\(454\) −4.86778 + 64.9561i −0.228456 + 3.04854i
\(455\) 4.69618 1.44858i 0.220161 0.0679105i
\(456\) −23.0427 3.47312i −1.07907 0.162644i
\(457\) 13.7826 17.2829i 0.644724 0.808458i −0.346861 0.937917i \(-0.612752\pi\)
0.991585 + 0.129458i \(0.0413238\pi\)
\(458\) −1.03102 0.702936i −0.0481763 0.0328460i
\(459\) 8.20490 7.61304i 0.382972 0.355346i
\(460\) −0.206913 + 0.527207i −0.00964739 + 0.0245812i
\(461\) 4.74602 + 1.46395i 0.221044 + 0.0681831i 0.403299 0.915068i \(-0.367863\pi\)
−0.182255 + 0.983251i \(0.558340\pi\)
\(462\) 6.77116 + 3.26082i 0.315023 + 0.151707i
\(463\) −14.6914 37.4330i −0.682766 1.73966i −0.672928 0.739708i \(-0.734964\pi\)
−0.00983742 0.999952i \(-0.503131\pi\)
\(464\) −5.47256 73.0262i −0.254057 3.39016i
\(465\) −32.1038 40.2568i −1.48878 1.86687i
\(466\) −13.7268 23.7756i −0.635884 1.10138i
\(467\) −9.69685 + 16.7954i −0.448717 + 0.777200i −0.998303 0.0582371i \(-0.981452\pi\)
0.549586 + 0.835437i \(0.314785\pi\)
\(468\) 8.04509 1.21260i 0.371884 0.0560526i
\(469\) −1.59003 + 0.765719i −0.0734208 + 0.0353576i
\(470\) 50.2942 + 46.6662i 2.31990 + 2.15255i
\(471\) 3.08736 + 13.5266i 0.142258 + 0.623273i
\(472\) −35.2211 −1.62118
\(473\) 13.6583 + 4.66882i 0.628008 + 0.214673i
\(474\) 31.1450 1.43054
\(475\) 1.43522 + 6.28809i 0.0658523 + 0.288518i
\(476\) −6.07568 5.63741i −0.278478 0.258390i
\(477\) 3.84732 1.85277i 0.176157 0.0848326i
\(478\) 32.9221 4.96220i 1.50582 0.226966i
\(479\) −1.26895 + 2.19788i −0.0579796 + 0.100424i −0.893558 0.448947i \(-0.851799\pi\)
0.835579 + 0.549371i \(0.185133\pi\)
\(480\) −29.8117 51.6355i −1.36071 2.35683i
\(481\) −16.8267 21.1000i −0.767230 0.962076i
\(482\) 0.876815 + 11.7003i 0.0399378 + 0.532933i
\(483\) 0.0187661 + 0.0478152i 0.000853886 + 0.00217567i
\(484\) 26.7487 + 12.8815i 1.21585 + 0.585522i
\(485\) −2.69969 0.832745i −0.122587 0.0378130i
\(486\) 6.78230 17.2810i 0.307651 0.783883i
\(487\) −0.530064 + 0.491827i −0.0240195 + 0.0222868i −0.692091 0.721810i \(-0.743310\pi\)
0.668072 + 0.744097i \(0.267120\pi\)
\(488\) 31.1060 + 21.2077i 1.40810 + 0.960027i
\(489\) −9.31465 + 11.6802i −0.421223 + 0.528197i
\(490\) 50.4531 + 7.60459i 2.27924 + 0.343540i
\(491\) −4.96897 + 1.53273i −0.224247 + 0.0691709i −0.404842 0.914386i \(-0.632674\pi\)
0.180596 + 0.983557i \(0.442197\pi\)
\(492\) −1.73097 + 23.0982i −0.0780382 + 1.04135i
\(493\) −15.8965 + 10.8381i −0.715943 + 0.488122i
\(494\) 2.31121 10.1261i 0.103986 0.455595i
\(495\) 1.01992 4.46856i 0.0458420 0.200847i
\(496\) 71.2538 48.5800i 3.19939 2.18131i
\(497\) −0.474089 + 6.32628i −0.0212658 + 0.283773i
\(498\) 25.9986 8.01950i 1.16502 0.359362i
\(499\) −0.153922 0.0232000i −0.00689050 0.00103858i 0.145596 0.989344i \(-0.453490\pi\)
−0.152487 + 0.988306i \(0.548728\pi\)
\(500\) 9.65474 12.1067i 0.431773 0.541426i
\(501\) −18.5192 12.6261i −0.827375 0.564095i
\(502\) −4.44285 + 4.12237i −0.198294 + 0.183990i
\(503\) −7.28863 + 18.5711i −0.324984 + 0.828046i 0.671241 + 0.741239i \(0.265761\pi\)
−0.996225 + 0.0868067i \(0.972334\pi\)
\(504\) −3.33948 1.03009i −0.148752 0.0458839i
\(505\) −39.1804 18.8683i −1.74350 0.839628i
\(506\) −0.0825580 0.210354i −0.00367015 0.00935140i
\(507\) −1.02649 13.6975i −0.0455878 0.608327i
\(508\) −0.631541 0.791927i −0.0280201 0.0351361i
\(509\) −9.32749 16.1557i −0.413434 0.716089i 0.581829 0.813311i \(-0.302337\pi\)
−0.995263 + 0.0972228i \(0.969004\pi\)
\(510\) −18.9643 + 32.8472i −0.839755 + 1.45450i
\(511\) 2.64578 0.398788i 0.117043 0.0176413i
\(512\) −37.9049 + 18.2540i −1.67518 + 0.806722i
\(513\) −5.33346 4.94873i −0.235478 0.218492i
\(514\) 0.261966 + 1.14775i 0.0115548 + 0.0506249i
\(515\) −1.43672 −0.0633094
\(516\) −59.8390 10.8752i −2.63426 0.478756i
\(517\) −19.3515 −0.851079
\(518\) 4.40662 + 19.3067i 0.193616 + 0.848286i
\(519\) 7.54250 + 6.99841i 0.331079 + 0.307196i
\(520\) 48.0468 23.1381i 2.10699 1.01467i
\(521\) −13.8523 + 2.08790i −0.606880 + 0.0914724i −0.445291 0.895386i \(-0.646900\pi\)
−0.161589 + 0.986858i \(0.551662\pi\)
\(522\) −6.92916 + 12.0017i −0.303281 + 0.525298i
\(523\) 16.1137 + 27.9097i 0.704602 + 1.22041i 0.966835 + 0.255401i \(0.0822076\pi\)
−0.262234 + 0.965004i \(0.584459\pi\)
\(524\) −28.5768 35.8342i −1.24838 1.56542i
\(525\) 0.383418 + 5.11636i 0.0167337 + 0.223296i
\(526\) −7.29854 18.5964i −0.318231 0.810840i
\(527\) −20.4133 9.83055i −0.889219 0.428225i
\(528\) 38.9100 + 12.0022i 1.69334 + 0.522327i
\(529\) −8.40228 + 21.4087i −0.365316 + 0.930811i
\(530\) 35.0501 32.5218i 1.52248 1.41265i
\(531\) 2.74977 + 1.87476i 0.119330 + 0.0813576i
\(532\) −3.35912 + 4.21220i −0.145636 + 0.182622i
\(533\) −5.97606 0.900747i −0.258852 0.0390157i
\(534\) 47.8347 14.7551i 2.07001 0.638514i
\(535\) −0.417024 + 5.56479i −0.0180295 + 0.240587i
\(536\) −15.8225 + 10.7876i −0.683428 + 0.465953i
\(537\) −6.00494 + 26.3094i −0.259132 + 1.13533i
\(538\) −13.0351 + 57.1103i −0.561981 + 2.46220i
\(539\) −11.8906 + 8.10687i −0.512164 + 0.349188i
\(540\) 4.76887 63.6361i 0.205219 2.73846i
\(541\) −24.2850 + 7.49094i −1.04409 + 0.322061i −0.768928 0.639336i \(-0.779209\pi\)
−0.275167 + 0.961396i \(0.588733\pi\)
\(542\) −16.6380 2.50777i −0.714663 0.107718i
\(543\) −23.4100 + 29.3552i −1.00462 + 1.25975i
\(544\) −21.6771 14.7792i −0.929398 0.633652i
\(545\) 10.0342 9.31037i 0.429818 0.398813i
\(546\) 3.01855 7.69114i 0.129182 0.329150i
\(547\) 5.19488 + 1.60241i 0.222117 + 0.0685141i 0.403816 0.914840i \(-0.367683\pi\)
−0.181699 + 0.983354i \(0.558160\pi\)
\(548\) −25.7579 12.4044i −1.10032 0.529889i
\(549\) −1.29964 3.31143i −0.0554673 0.141328i
\(550\) −1.68678 22.5085i −0.0719245 0.959766i
\(551\) 7.79761 + 9.77790i 0.332189 + 0.416552i
\(552\) 0.278688 + 0.482703i 0.0118618 + 0.0205452i
\(553\) 2.10758 3.65043i 0.0896233 0.155232i
\(554\) −35.9650 + 5.42085i −1.52801 + 0.230310i
\(555\) 57.7182 27.7956i 2.45000 1.17986i
\(556\) −38.6884 35.8976i −1.64075 1.52240i
\(557\) −9.31439 40.8090i −0.394664 1.72913i −0.647896 0.761729i \(-0.724351\pi\)
0.253233 0.967405i \(-0.418506\pi\)
\(558\) −16.3199 −0.690878
\(559\) 3.99633 15.3572i 0.169027 0.649539i
\(560\) −19.5385 −0.825653
\(561\) −2.38051 10.4297i −0.100505 0.440343i
\(562\) −11.8337 10.9801i −0.499176 0.463168i
\(563\) 25.0303 12.0540i 1.05490 0.508013i 0.175690 0.984446i \(-0.443784\pi\)
0.879211 + 0.476432i \(0.158070\pi\)
\(564\) 80.6278 12.1527i 3.39504 0.511721i
\(565\) 20.0729 34.7673i 0.844474 1.46267i
\(566\) −1.42825 2.47381i −0.0600339 0.103982i
\(567\) −4.49476 5.63625i −0.188762 0.236700i
\(568\) 5.14439 + 68.6471i 0.215854 + 2.88037i
\(569\) −9.42162 24.0059i −0.394975 1.00638i −0.980639 0.195825i \(-0.937261\pi\)
0.585664 0.810554i \(-0.300834\pi\)
\(570\) 22.2133 + 10.6974i 0.930413 + 0.448063i
\(571\) 38.3172 + 11.8193i 1.60353 + 0.494622i 0.962131 0.272588i \(-0.0878797\pi\)
0.641395 + 0.767211i \(0.278356\pi\)
\(572\) −9.38740 + 23.9187i −0.392507 + 1.00009i
\(573\) −12.2973 + 11.4102i −0.513727 + 0.476669i
\(574\) 3.66408 + 2.49812i 0.152936 + 0.104270i
\(575\) 0.0961865 0.120614i 0.00401126 0.00502996i
\(576\) −5.42528 0.817729i −0.226053 0.0340721i
\(577\) 19.2792 5.94684i 0.802603 0.247570i 0.133799 0.991009i \(-0.457282\pi\)
0.668805 + 0.743438i \(0.266806\pi\)
\(578\) 2.07139 27.6408i 0.0861584 1.14970i
\(579\) −30.9182 + 21.0796i −1.28491 + 0.876040i
\(580\) −24.4089 + 106.942i −1.01353 + 4.44054i
\(581\) 0.819374 3.58991i 0.0339934 0.148935i
\(582\) −3.92441 + 2.67562i −0.162672 + 0.110908i
\(583\) −1.00782 + 13.4484i −0.0417395 + 0.556976i
\(584\) 27.7441 8.55791i 1.14806 0.354129i
\(585\) −4.98269 0.751020i −0.206009 0.0310508i
\(586\) −29.7375 + 37.2897i −1.22845 + 1.54042i
\(587\) 9.57940 + 6.53112i 0.395384 + 0.269568i 0.744650 0.667455i \(-0.232617\pi\)
−0.349266 + 0.937024i \(0.613569\pi\)
\(588\) 44.4509 41.2444i 1.83312 1.70089i
\(589\) −5.38070 + 13.7098i −0.221708 + 0.564902i
\(590\) 35.6090 + 10.9839i 1.46600 + 0.452201i
\(591\) 40.3757 + 19.4439i 1.66083 + 0.799816i
\(592\) 39.1992 + 99.8781i 1.61108 + 4.10496i
\(593\) 0.913090 + 12.1843i 0.0374961 + 0.500351i 0.984060 + 0.177835i \(0.0569094\pi\)
−0.946564 + 0.322516i \(0.895472\pi\)
\(594\) 15.8752 + 19.9069i 0.651368 + 0.816790i
\(595\) 2.56663 + 4.44554i 0.105222 + 0.182249i
\(596\) 25.1586 43.5760i 1.03054 1.78494i
\(597\) 35.7976 5.39563i 1.46510 0.220828i
\(598\) −0.223830 + 0.107791i −0.00915307 + 0.00440789i
\(599\) −7.00317 6.49799i −0.286142 0.265501i 0.524022 0.851705i \(-0.324431\pi\)
−0.810163 + 0.586204i \(0.800622\pi\)
\(600\) 12.3886 + 54.2779i 0.505762 + 2.21589i
\(601\) −9.69294 −0.395383 −0.197692 0.980264i \(-0.563344\pi\)
−0.197692 + 0.980264i \(0.563344\pi\)
\(602\) −7.53137 + 8.88049i −0.306956 + 0.361942i
\(603\) 1.80949 0.0736882
\(604\) −10.0546 44.0521i −0.409116 1.79245i
\(605\) −13.4791 12.5068i −0.548003 0.508472i
\(606\) −65.8699 + 31.7213i −2.67578 + 1.28859i
\(607\) 1.91366 0.288437i 0.0776729 0.0117073i −0.110091 0.993922i \(-0.535114\pi\)
0.187764 + 0.982214i \(0.439876\pi\)
\(608\) −8.52710 + 14.7694i −0.345819 + 0.598977i
\(609\) 4.97431 + 8.61575i 0.201569 + 0.349128i
\(610\) −24.8348 31.1418i −1.00553 1.26090i
\(611\) 1.58985 + 21.2151i 0.0643186 + 0.858272i
\(612\) 3.10470 + 7.91064i 0.125500 + 0.319769i
\(613\) −14.0264 6.75474i −0.566519 0.272821i 0.128623 0.991694i \(-0.458944\pi\)
−0.695142 + 0.718872i \(0.744659\pi\)
\(614\) −45.1886 13.9388i −1.82366 0.562526i
\(615\) 5.24114 13.3542i 0.211343 0.538494i
\(616\) 8.09072 7.50709i 0.325984 0.302469i
\(617\) 17.3090 + 11.8011i 0.696835 + 0.475094i 0.859202 0.511636i \(-0.170961\pi\)
−0.162367 + 0.986730i \(0.551913\pi\)
\(618\) −1.50598 + 1.88844i −0.0605795 + 0.0759643i
\(619\) −45.0405 6.78876i −1.81033 0.272863i −0.845165 0.534506i \(-0.820498\pi\)
−0.965165 + 0.261643i \(0.915736\pi\)
\(620\) −123.438 + 38.0756i −4.95740 + 1.52915i
\(621\) −0.0130049 + 0.173539i −0.000521870 + 0.00696387i
\(622\) 37.3574 25.4699i 1.49790 1.02125i
\(623\) 1.50757 6.60507i 0.0603993 0.264627i
\(624\) 9.96129 43.6433i 0.398771 1.74713i
\(625\) −24.1410 + 16.4591i −0.965642 + 0.658363i
\(626\) −1.27053 + 16.9540i −0.0507805 + 0.677618i
\(627\) −6.64506 + 2.04973i −0.265378 + 0.0818584i
\(628\) 34.4190 + 5.18782i 1.37347 + 0.207017i
\(629\) 17.5756 22.0391i 0.700785 0.878757i
\(630\) 3.05501 + 2.08287i 0.121715 + 0.0829836i
\(631\) 7.91485 7.34390i 0.315085 0.292356i −0.506737 0.862101i \(-0.669148\pi\)
0.821822 + 0.569745i \(0.192958\pi\)
\(632\) 16.7103 42.5773i 0.664702 1.69363i
\(633\) 28.6083 + 8.82450i 1.13708 + 0.350742i
\(634\) 31.1418 + 14.9971i 1.23680 + 0.595611i
\(635\) 0.229194 + 0.583977i 0.00909530 + 0.0231744i
\(636\) −4.24649 56.6654i −0.168384 2.24693i
\(637\) 9.86448 + 12.3697i 0.390845 + 0.490104i
\(638\) −21.8836 37.9035i −0.866379 1.50061i
\(639\) 3.25233 5.63321i 0.128660 0.222846i
\(640\) 0.578682 0.0872223i 0.0228744 0.00344776i
\(641\) 5.95986 2.87012i 0.235400 0.113363i −0.312465 0.949929i \(-0.601155\pi\)
0.547866 + 0.836566i \(0.315440\pi\)
\(642\) 6.87730 + 6.38121i 0.271426 + 0.251846i
\(643\) −8.62182 37.7747i −0.340012 1.48969i −0.799046 0.601270i \(-0.794662\pi\)
0.459035 0.888418i \(-0.348195\pi\)
\(644\) 0.128865 0.00507799
\(645\) 33.4292 + 17.3602i 1.31627 + 0.683558i
\(646\) 10.8488 0.426840
\(647\) −5.10650 22.3730i −0.200757 0.879575i −0.970477 0.241193i \(-0.922461\pi\)
0.769720 0.638382i \(-0.220396\pi\)
\(648\) −57.3437 53.2072i −2.25267 2.09018i
\(649\) −9.46973 + 4.56038i −0.371720 + 0.179011i
\(650\) −24.5376 + 3.69844i −0.962443 + 0.145065i
\(651\) −5.85788 + 10.1461i −0.229589 + 0.397659i
\(652\) 18.7399 + 32.4584i 0.733910 + 1.27117i
\(653\) 17.8010 + 22.3217i 0.696606 + 0.873516i 0.996765 0.0803731i \(-0.0256112\pi\)
−0.300159 + 0.953889i \(0.597040\pi\)
\(654\) −1.71974 22.9483i −0.0672470 0.897349i
\(655\) 10.3709 + 26.4246i 0.405224 + 1.03249i
\(656\) 21.6478 + 10.4250i 0.845204 + 0.407029i
\(657\) −2.62154 0.808639i −0.102276 0.0315480i
\(658\) 5.70330 14.5318i 0.222338 0.566507i
\(659\) −12.3638 + 11.4720i −0.481627 + 0.446884i −0.883237 0.468926i \(-0.844641\pi\)
0.401611 + 0.915810i \(0.368450\pi\)
\(660\) −50.3949 34.3587i −1.96162 1.33741i
\(661\) 5.61134 7.03640i 0.218256 0.273684i −0.660635 0.750707i \(-0.729713\pi\)
0.878891 + 0.477023i \(0.158284\pi\)
\(662\) −27.5327 4.14989i −1.07009 0.161290i
\(663\) −11.2385 + 3.46663i −0.436469 + 0.134633i
\(664\) 2.98594 39.8446i 0.115877 1.54627i
\(665\) 2.75699 1.87968i 0.106911 0.0728910i
\(666\) 4.51821 19.7956i 0.175077 0.767062i
\(667\) 0.0665643 0.291637i 0.00257738 0.0112922i
\(668\) −46.4601 + 31.6760i −1.79760 + 1.22558i
\(669\) −2.60425 + 34.7513i −0.100686 + 1.34356i
\(670\) 19.3609 5.97206i 0.747978 0.230721i
\(671\) 11.1093 + 1.67445i 0.428868 + 0.0646415i
\(672\) −8.45845 + 10.6066i −0.326292 + 0.409157i
\(673\) −9.88152 6.73710i −0.380904 0.259696i 0.357698 0.933837i \(-0.383562\pi\)
−0.738603 + 0.674141i \(0.764514\pi\)
\(674\) −60.6002 + 56.2287i −2.33423 + 2.16585i
\(675\) −6.35057 + 16.1810i −0.244434 + 0.622807i
\(676\) −32.9291 10.1573i −1.26650 0.390665i
\(677\) 39.1303 + 18.8442i 1.50390 + 0.724240i 0.990957 0.134182i \(-0.0428407\pi\)
0.512944 + 0.858422i \(0.328555\pi\)
\(678\) −24.6580 62.8275i −0.946984 2.41288i
\(679\) 0.0480386 + 0.641031i 0.00184355 + 0.0246005i
\(680\) 34.7293 + 43.5492i 1.33181 + 1.67004i
\(681\) −23.9728 41.5221i −0.918639 1.59113i
\(682\) 25.7707 44.6362i 0.986812 1.70921i
\(683\) 7.26911 1.09564i 0.278145 0.0419236i −0.00848853 0.999964i \(-0.502702\pi\)
0.286633 + 0.958040i \(0.407464\pi\)
\(684\) 4.97699 2.39679i 0.190300 0.0916436i
\(685\) 12.9798 + 12.0435i 0.495934 + 0.460159i
\(686\) −5.34926 23.4366i −0.204236 0.894815i
\(687\) 0.918487 0.0350425
\(688\) −33.1785 + 53.6595i −1.26492 + 2.04575i
\(689\) 14.8263 0.564838
\(690\) −0.131224 0.574929i −0.00499561 0.0218872i
\(691\) 0.0567156 + 0.0526244i 0.00215756 + 0.00200193i 0.681251 0.732050i \(-0.261436\pi\)
−0.679093 + 0.734052i \(0.737627\pi\)
\(692\) 23.2568 11.1999i 0.884090 0.425755i
\(693\) −1.03124 + 0.155435i −0.0391737 + 0.00590449i
\(694\) 44.3595 76.8330i 1.68386 2.91654i
\(695\) 16.3436 + 28.3080i 0.619950 + 1.07378i
\(696\) 67.3079 + 84.4014i 2.55130 + 3.19923i
\(697\) −0.471738 6.29491i −0.0178684 0.238437i
\(698\) 33.5420 + 85.4636i 1.26958 + 3.23484i
\(699\) 18.2064 + 8.76772i 0.688628 + 0.331626i
\(700\) 12.2999 + 3.79400i 0.464891 + 0.143400i
\(701\) −2.64824 + 6.74761i −0.100023 + 0.254854i −0.972122 0.234475i \(-0.924663\pi\)
0.872099 + 0.489329i \(0.162758\pi\)
\(702\) 20.5198 19.0395i 0.774468 0.718601i
\(703\) −15.1399 10.3222i −0.571011 0.389309i
\(704\) 10.8036 13.5473i 0.407175 0.510581i
\(705\) −49.9365 7.52671i −1.88072 0.283472i
\(706\) −27.4249 + 8.45946i −1.03215 + 0.318376i
\(707\) −0.739433 + 9.86704i −0.0278092 + 0.371088i
\(708\) 36.5916 24.9477i 1.37520 0.937593i
\(709\) 4.06410 17.8060i 0.152630 0.668717i −0.839484 0.543384i \(-0.817143\pi\)
0.992115 0.125333i \(-0.0400000\pi\)
\(710\) 16.2070 71.0074i 0.608237 2.66486i
\(711\) −3.57091 + 2.43461i −0.133920 + 0.0913049i
\(712\) 5.49382 73.3099i 0.205890 2.74741i
\(713\) 0.336622 0.103834i 0.0126066 0.00388862i
\(714\) 8.53363 + 1.28624i 0.319363 + 0.0481363i
\(715\) 9.92223 12.4421i 0.371070 0.465307i
\(716\) 55.9375 + 38.1375i 2.09048 + 1.42527i
\(717\) −17.9644 + 16.6685i −0.670892 + 0.622497i
\(718\) 13.3211 33.9416i 0.497139 1.26669i
\(719\) 23.5212 + 7.25534i 0.877194 + 0.270578i 0.700470 0.713682i \(-0.252974\pi\)
0.176724 + 0.984260i \(0.443450\pi\)
\(720\) 18.0494 + 8.69212i 0.672660 + 0.323936i
\(721\) 0.119430 + 0.304304i 0.00444782 + 0.0113329i
\(722\) 3.18202 + 42.4612i 0.118423 + 1.58024i
\(723\) −5.38461 6.75209i −0.200256 0.251113i
\(724\) 47.0979 + 81.5760i 1.75038 + 3.03175i
\(725\) 14.9397 25.8763i 0.554847 0.961023i
\(726\) −30.5679 + 4.60738i −1.13448 + 0.170996i
\(727\) −31.0316 + 14.9441i −1.15090 + 0.554244i −0.909304 0.416133i \(-0.863385\pi\)
−0.241596 + 0.970377i \(0.577671\pi\)
\(728\) −8.89475 8.25313i −0.329662 0.305881i
\(729\) −4.03899 17.6960i −0.149592 0.655407i
\(730\) −30.7184 −1.13694
\(731\) 16.5674 + 0.500154i 0.612767 + 0.0184989i
\(732\) −47.3381 −1.74967
\(733\) −6.10947 26.7673i −0.225658 0.988674i −0.953136 0.302542i \(-0.902165\pi\)
0.727478 0.686131i \(-0.240692\pi\)
\(734\) 53.5365 + 49.6746i 1.97607 + 1.83352i
\(735\) −33.8368 + 16.2949i −1.24809 + 0.601047i
\(736\) 0.403359 0.0607965i 0.0148680 0.00224099i
\(737\) −2.85736 + 4.94909i −0.105252 + 0.182302i
\(738\) −2.27347 3.93777i −0.0836876 0.144951i
\(739\) −26.8699 33.6938i −0.988425 1.23945i −0.970872 0.239600i \(-0.922984\pi\)
−0.0175538 0.999846i \(-0.505588\pi\)
\(740\) −12.0104 160.268i −0.441511 5.89156i
\(741\) 2.79306 + 7.11661i 0.102606 + 0.261435i
\(742\) −9.80186 4.72033i −0.359838 0.173289i
\(743\) −24.3219 7.50232i −0.892284 0.275233i −0.185485 0.982647i \(-0.559386\pi\)
−0.706800 + 0.707414i \(0.749862\pi\)
\(744\) −46.4454 + 118.341i −1.70277 + 4.33859i
\(745\) −22.8446 + 21.1967i −0.836963 + 0.776588i
\(746\) −2.58151 1.76005i −0.0945160 0.0644399i
\(747\) −2.35397 + 2.95179i −0.0861274 + 0.108000i
\(748\) −26.5388 4.00008i −0.970354 0.146257i
\(749\) 1.21331 0.374258i 0.0443335 0.0136751i
\(750\) −1.20492 + 16.0785i −0.0439975 + 0.587105i
\(751\) 28.1091 19.1645i 1.02572 0.699322i 0.0711949 0.997462i \(-0.477319\pi\)
0.954522 + 0.298140i \(0.0963664\pi\)
\(752\) 18.8210 82.4603i 0.686332 3.00702i
\(753\) 0.992684 4.34923i 0.0361754 0.158495i
\(754\) −39.7558 + 27.1051i −1.44782 + 0.987108i
\(755\) −2.09133 + 27.9068i −0.0761112 + 1.01563i
\(756\) −13.8748 + 4.27982i −0.504623 + 0.155656i
\(757\) −0.383633 0.0578234i −0.0139434 0.00210163i 0.142067 0.989857i \(-0.454625\pi\)
−0.156010 + 0.987755i \(0.549863\pi\)
\(758\) −53.5876 + 67.1968i −1.94639 + 2.44070i
\(759\) 0.137429 + 0.0936977i 0.00498837 + 0.00340101i
\(760\) 26.5422 24.6276i 0.962789 0.893337i
\(761\) −2.93530 + 7.47902i −0.106405 + 0.271114i −0.974153 0.225889i \(-0.927471\pi\)
0.867748 + 0.497004i \(0.165566\pi\)
\(762\) 1.00783 + 0.310875i 0.0365099 + 0.0112618i
\(763\) −2.80609 1.35134i −0.101587 0.0489219i
\(764\) 15.3756 + 39.1764i 0.556270 + 1.41735i
\(765\) −0.393323 5.24853i −0.0142206 0.189761i
\(766\) 0.183974 + 0.230697i 0.00664727 + 0.00833541i
\(767\) 5.77756 + 10.0070i 0.208616 + 0.361333i
\(768\) 15.6277 27.0679i 0.563914 0.976728i
\(769\) −20.3218 + 3.06301i −0.732821 + 0.110455i −0.504843 0.863211i \(-0.668450\pi\)
−0.227978 + 0.973666i \(0.573212\pi\)
\(770\) −10.5210 + 5.06663i −0.379149 + 0.182589i
\(771\) −0.635215 0.589394i −0.0228767 0.0212265i
\(772\) 20.8900 +