Properties

Label 43.2.g.a.13.3
Level $43$
Weight $2$
Character 43.13
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 13.3
Character \(\chi\) \(=\) 43.13
Dual form 43.2.g.a.10.3

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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 −0.168324 0.985732i \(-0.553836\pi\)
0.579348 0.815080i \(-0.303307\pi\)
\(3\) −1.40948 + 1.30780i −0.813762 + 0.755061i −0.972660 0.232234i \(-0.925397\pi\)
0.158898 + 0.987295i \(0.449206\pi\)
\(4\) −4.34603 2.09294i −2.17301 1.04647i
\(5\) 2.95419 + 0.445272i 1.32115 + 0.199132i 0.771483 0.636250i \(-0.219515\pi\)
0.549670 + 0.835382i \(0.314754\pi\)
\(6\) 2.51133 + 4.34976i 1.02525 + 1.77578i
\(7\) −0.339884 + 0.588696i −0.128464 + 0.222506i −0.923082 0.384604i \(-0.874338\pi\)
0.794618 + 0.607110i \(0.207671\pi\)
\(8\) −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 −0.708278 0.705934i \(-0.750527\pi\)
0.110318 + 0.993896i \(0.464813\pi\)
\(12\) 8.86279 2.73381i 2.55847 0.789182i
\(13\) −0.884105 2.25266i −0.245207 0.624776i 0.754289 0.656543i \(-0.227982\pi\)
−0.999495 + 0.0317667i \(0.989887\pi\)
\(14\) 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 −0.444967 0.895547i \(-0.646785\pi\)
−0.161231 + 0.986917i \(0.551547\pi\)
\(18\) −1.73978 0.536652i −0.410071 0.126490i
\(19\) −0.122786 1.63846i −0.0281690 0.375890i −0.993417 0.114554i \(-0.963456\pi\)
0.965248 0.261336i \(-0.0841629\pi\)
\(20\) −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 0.566701 0.823924i \(-0.308220\pi\)
−0.559930 + 0.828540i \(0.689172\pi\)
\(24\) −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 0.999280 0.0379317i \(-0.0120769\pi\)
0.0368507 + 0.999321i \(0.488267\pi\)
\(30\) 5.48212 + 13.9682i 1.00089 + 2.55024i
\(31\) 8.56546 2.64209i 1.53840 0.474534i 0.594316 0.804232i \(-0.297423\pi\)
0.944087 + 0.329698i \(0.106947\pi\)
\(32\) 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 −0.804376 0.594121i \(-0.797500\pi\)
−0.112336 0.993670i \(-0.535833\pi\)
\(38\) −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 −0.912815 0.408373i \(-0.866096\pi\)
0.999604 + 0.0281239i \(0.00895331\pi\)
\(42\) −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 0.910640 0.413202i \(-0.135590\pi\)
0.244720 + 0.969594i \(0.421304\pi\)
\(48\) −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 0.690722 + 0.723120i \(0.257293\pi\)
−0.998182 + 0.0602746i \(0.980802\pi\)
\(54\) −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 0.936901 0.349596i \(-0.113681\pi\)
−0.549311 + 0.835618i \(0.685110\pi\)
\(60\) 27.3996 4.12983i 3.53727 0.533158i
\(61\) −4.87717 1.50441i −0.624458 0.192620i −0.0336523 0.999434i \(-0.510714\pi\)
−0.590806 + 0.806814i \(0.701190\pi\)
\(62\) −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 0.996435 + 0.0843595i \(0.0268844\pi\)
−0.972733 + 0.231928i \(0.925497\pi\)
\(68\) 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 −0.926615 0.376012i \(-0.877295\pi\)
0.0114889 + 0.999934i \(0.496343\pi\)
\(72\) 3.76868 + 3.49682i 0.444143 + 0.412105i
\(73\) −1.43804 3.66406i −0.168310 0.428846i 0.821687 0.569940i \(-0.193033\pi\)
−0.989996 + 0.141093i \(0.954938\pi\)
\(74\) −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 −0.637215 0.770686i \(-0.719914\pi\)
0.986041 + 0.166501i \(0.0532469\pi\)
\(80\) 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 −0.431490 0.902118i \(-0.642012\pi\)
0.867350 + 0.497699i \(0.165821\pi\)
\(84\) −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 −0.190320 0.981722i \(-0.560952\pi\)
0.964754 + 0.263152i \(0.0847620\pi\)
\(90\) −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 −0.476638 0.879100i \(-0.658145\pi\)
0.390129 + 0.920760i \(0.372430\pi\)
\(98\) 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 −0.986820 0.161824i \(-0.948262\pi\)
−0.209888 + 0.977725i \(0.567310\pi\)
\(102\) −7.91555 9.92579i −0.783757 0.982800i
\(103\) −0.475530 + 0.0716747i −0.0468554 + 0.00706231i −0.172428 0.985022i \(-0.555161\pi\)
0.125573 + 0.992084i \(0.459923\pi\)
\(104\) 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 0.950855 0.309636i \(-0.100207\pi\)
−0.991037 + 0.133588i \(0.957350\pi\)
\(108\) 4.75308 + 20.8246i 0.457365 + 2.00385i
\(109\) 3.78562 + 2.58100i 0.362597 + 0.247214i 0.730890 0.682495i \(-0.239105\pi\)
−0.368293 + 0.929710i \(0.620058\pi\)
\(110\) 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 0.999939 + 0.0110047i \(0.00350297\pi\)
−0.211779 + 0.977318i \(0.567926\pi\)
\(114\) 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 −0.972812 0.231594i \(-0.925606\pi\)
0.976959 + 0.213428i \(0.0684630\pi\)
\(128\) 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 −0.794608 0.607122i \(-0.792324\pi\)
0.979338 0.202231i \(-0.0648191\pi\)
\(132\) −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 −0.598504 0.801120i \(-0.704238\pi\)
0.914214 + 0.405233i \(0.132809\pi\)
\(138\) −0.0147510 + 0.196838i −0.00125569 + 0.0167560i
\(139\) 3.99725 10.1848i 0.339043 0.863866i −0.655075 0.755563i \(-0.727363\pi\)
0.994118 0.108303i \(-0.0345416\pi\)
\(140\) 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 0.156275 0.987714i \(-0.450051\pi\)
−0.862343 + 0.506325i \(0.831004\pi\)
\(150\) 4.38731 + 19.2221i 0.358223 + 1.56948i
\(151\) −2.08440 9.13237i −0.169626 0.743181i −0.986148 0.165867i \(-0.946958\pi\)
0.816522 0.577315i \(-0.195899\pi\)
\(152\) 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 −0.777375 0.629038i \(-0.783449\pi\)
0.301548 + 0.953451i \(0.402497\pi\)
\(158\) −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 0.927176 + 0.374627i \(0.122229\pi\)
−0.972655 + 0.232254i \(0.925390\pi\)
\(164\) −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 0.579012 0.815319i \(-0.303438\pi\)
0.312969 + 0.949763i \(0.398676\pi\)
\(168\) 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 0.475078 + 0.879944i \(0.342420\pi\)
−0.999593 + 0.0285427i \(0.990913\pi\)
\(180\) −6.26252 + 7.85295i −0.466780 + 0.585324i
\(181\) −1.45930 + 19.4730i −0.108469 + 1.44742i 0.631814 + 0.775120i \(0.282311\pi\)
−0.740283 + 0.672296i \(0.765308\pi\)
\(182\) 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 0.969811 + 0.243857i \(0.0784127\pi\)
−0.922634 + 0.385676i \(0.873968\pi\)
\(192\) 12.5057 + 8.52626i 0.902523 + 0.615329i
\(193\) 4.33067 + 18.9739i 0.311729 + 1.36577i 0.851674 + 0.524072i \(0.175588\pi\)
−0.539945 + 0.841700i \(0.681555\pi\)
\(194\) 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 −0.629110 0.777317i \(-0.716580\pi\)
−0.957673 + 0.287859i \(0.907057\pi\)
\(198\) 3.96289 0.597310i 0.281630 0.0424489i
\(199\) −11.7392 14.7205i −0.832169 1.04351i −0.998351 0.0574120i \(-0.981715\pi\)
0.166181 0.986095i \(-0.446856\pi\)
\(200\) −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 −0.116582 0.993181i \(-0.537194\pi\)
−0.849188 + 0.528091i \(0.822908\pi\)
\(212\) 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 −0.999777 0.0211054i \(-0.993281\pi\)
0.243048 + 0.970014i \(0.421853\pi\)
\(224\) −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 0.625279 0.780402i \(-0.284985\pi\)
0.956245 + 0.292566i \(0.0945091\pi\)
\(228\) −5.56747 14.1857i −0.368715 0.939470i
\(229\) −0.350174 0.324914i −0.0231402 0.0214709i 0.668518 0.743696i \(-0.266929\pi\)
−0.691658 + 0.722225i \(0.743119\pi\)
\(230\) 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 −0.0522233 0.998635i \(-0.516631\pi\)
−0.605700 + 0.795693i \(0.707107\pi\)
\(234\) 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 0.939343 + 0.342978i \(0.111436\pi\)
−0.877733 + 0.479149i \(0.840945\pi\)
\(240\) −52.8103 16.2898i −3.40889 1.05150i
\(241\) 4.44144 0.669439i 0.286098 0.0431224i −0.00442537 0.999990i \(-0.501409\pi\)
0.290524 + 0.956868i \(0.406171\pi\)
\(242\) 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 −0.827089 0.562071i \(-0.810005\pi\)
0.900312 + 0.435245i \(0.143338\pi\)
\(252\) −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 −0.0883127 0.996093i \(-0.528147\pi\)
−0.377993 + 0.925809i \(0.623386\pi\)
\(264\) 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 0.299277 0.954166i \(-0.403255\pi\)
0.932593 + 0.360929i \(0.117540\pi\)
\(270\) −33.0226 + 10.1861i −2.00969 + 0.619908i
\(271\) −2.35324 5.99596i −0.142949 0.364229i 0.841411 0.540396i \(-0.181725\pi\)
−0.984360 + 0.176167i \(0.943630\pi\)
\(272\) −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 −0.937033 0.349242i \(-0.886439\pi\)
0.874515 0.484999i \(-0.161180\pi\)
\(278\) −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 0.401368 0.915917i \(-0.368535\pi\)
−0.705967 + 0.708245i \(0.749487\pi\)
\(282\) 3.29979 + 44.0327i 0.196500 + 2.62211i
\(283\) −1.04493 0.322319i −0.0621148 0.0191599i 0.263542 0.964648i \(-0.415109\pi\)
−0.325657 + 0.945488i \(0.605585\pi\)
\(284\) 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 −0.328824 0.944391i \(-0.606652\pi\)
0.993884 + 0.110433i \(0.0352238\pi\)
\(294\) −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 −0.999814 0.0192762i \(-0.993864\pi\)
0.483213 0.875503i \(-0.339470\pi\)
\(308\) −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 0.631790 + 0.775140i \(0.282321\pi\)
−0.990364 + 0.138491i \(0.955775\pi\)
\(312\) −30.9224 + 14.8914i −1.75063 + 0.843061i
\(313\) 6.21930 1.91840i 0.351535 0.108434i −0.113958 0.993486i \(-0.536353\pi\)
0.465494 + 0.885051i \(0.345877\pi\)
\(314\) 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 0.957532 0.288326i \(-0.0930985\pi\)
−0.494168 + 0.869367i \(0.664527\pi\)
\(318\) −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 0.783017 0.622001i \(-0.213680\pi\)
−0.997060 + 0.0766279i \(0.975585\pi\)
\(332\) −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 −0.00808906 0.999967i \(-0.502575\pi\)
0.870042 0.492978i \(-0.164092\pi\)
\(338\) −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 −0.388679 + 0.921373i \(0.627068\pi\)
−0.947843 + 0.318738i \(0.896741\pi\)
\(348\) 63.6056 + 30.6308i 3.40962 + 1.64199i
\(349\) 34.7537 + 5.23828i 1.86032 + 0.280399i 0.980736 0.195336i \(-0.0625799\pi\)
0.879589 + 0.475735i \(0.157818\pi\)
\(350\) 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 −0.931777 0.363030i \(-0.881742\pi\)
0.975477 0.220101i \(-0.0706388\pi\)
\(354\) −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 −0.828053 0.560650i \(-0.810551\pi\)
0.219372 + 0.975641i \(0.429599\pi\)
\(360\) 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 0.988085 0.153908i \(-0.0491859\pi\)
0.217719 + 0.976011i \(0.430138\pi\)
\(368\) 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 0.657147 0.753762i \(-0.271763\pi\)
−0.702546 + 0.711639i \(0.747953\pi\)
\(374\) −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 0.108817 0.994062i \(-0.465294\pi\)
0.944925 0.327288i \(-0.106135\pi\)
\(380\) −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 0.436482 0.899713i \(-0.356224\pi\)
−0.431282 + 0.902217i \(0.641939\pi\)
\(384\) −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 −0.771256 0.636525i \(-0.780371\pi\)
0.971056 0.238854i \(-0.0767717\pi\)
\(390\) 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 −0.803530 0.595264i \(-0.797047\pi\)
0.993912 + 0.110179i \(0.0351425\pi\)
\(398\) −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 −0.952610 0.304194i \(-0.901613\pi\)
−0.374532 0.927214i \(-0.622197\pi\)
\(402\) −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 0.959549 + 0.281542i \(0.0908458\pi\)
−0.742367 + 0.669993i \(0.766297\pi\)
\(410\) −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 −0.730193 0.683241i \(-0.760570\pi\)
0.0789110 + 0.996882i \(0.474856\pi\)
\(420\) −6.88146 + 17.5337i −0.335781 + 0.855556i
\(421\) 1.94811 25.9957i 0.0949450 1.26695i −0.722672 0.691191i \(-0.757086\pi\)
0.817617 0.575762i \(-0.195295\pi\)
\(422\) −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 −0.444782 0.895639i \(-0.646719\pi\)
0.859896 + 0.510470i \(0.170529\pi\)
\(434\) 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 0.879955 + 0.475058i \(0.157573\pi\)
−0.940930 + 0.338601i \(0.890046\pi\)
\(440\) 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 0.652161 + 0.758081i \(0.273863\pi\)
0.0375580 + 0.999294i \(0.488042\pi\)
\(444\) −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 −0.908492 0.417901i \(-0.862766\pi\)
0.836060 0.548638i \(-0.184853\pi\)
\(450\) −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 0.991585 0.129458i \(-0.0413238\pi\)
−0.346861 + 0.937917i \(0.612752\pi\)
\(458\) −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 −0.182255 0.983251i \(-0.558340\pi\)
0.403299 + 0.915068i \(0.367863\pi\)
\(462\) 6.77116 3.26082i 0.315023 0.151707i
\(463\) −14.6914 + 37.4330i −0.682766 + 1.73966i −0.00983742 + 0.999952i \(0.503131\pi\)
−0.672928 + 0.739708i \(0.734964\pi\)
\(464\) −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 0.549586 0.835437i \(-0.314785\pi\)
−0.998303 + 0.0582371i \(0.981452\pi\)
\(468\) 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 0.835579 0.549371i \(-0.185133\pi\)
−0.893558 + 0.448947i \(0.851799\pi\)
\(480\) −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 0.668072 0.744097i \(-0.267120\pi\)
−0.692091 + 0.721810i \(0.743310\pi\)
\(488\) 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 0.180596 0.983557i \(-0.442197\pi\)
−0.404842 + 0.914386i \(0.632674\pi\)
\(492\) −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 −0.152487 0.988306i \(-0.548728\pi\)
0.145596 + 0.989344i \(0.453490\pi\)
\(500\) 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 −0.996225 0.0868067i \(-0.972334\pi\)
0.671241 0.741239i \(-0.265761\pi\)
\(504\) −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 −0.995263 0.0972228i \(-0.969004\pi\)
0.581829 + 0.813311i \(0.302337\pi\)
\(510\) −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 −0.161589 0.986858i \(-0.551662\pi\)
−0.445291 + 0.895386i \(0.646900\pi\)
\(522\) −6.92916 12.0017i −0.303281 0.525298i
\(523\) 16.1137 27.9097i 0.704602 1.22041i −0.262234 0.965004i \(-0.584459\pi\)
0.966835 0.255401i \(-0.0822076\pi\)
\(524\) −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 −0.275167 0.961396i \(-0.588733\pi\)
−0.768928 + 0.639336i \(0.779209\pi\)
\(542\) −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 −0.181699 0.983354i \(-0.558160\pi\)
0.403816 + 0.914840i \(0.367683\pi\)
\(548\) −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 0.253233 + 0.967405i \(0.418506\pi\)
−0.647896 + 0.761729i \(0.724351\pi\)
\(558\) −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 0.879211 0.476432i \(-0.158070\pi\)
0.175690 + 0.984446i \(0.443784\pi\)
\(564\) 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 0.585664 + 0.810554i \(0.300834\pi\)
−0.980639 + 0.195825i \(0.937261\pi\)
\(570\) 22.2133 10.6974i 0.930413 0.448063i
\(571\) 38.3172 11.8193i 1.60353 0.494622i 0.641395 0.767211i \(-0.278356\pi\)
0.962131 + 0.272588i \(0.0878797\pi\)
\(572\) −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 0.668805 0.743438i \(-0.266806\pi\)
0.133799 + 0.991009i \(0.457282\pi\)
\(578\) 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 −0.349266 0.937024i \(-0.613569\pi\)
0.744650 + 0.667455i \(0.232617\pi\)
\(588\) 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 −0.946564 0.322516i \(-0.895472\pi\)
0.984060 0.177835i \(-0.0569094\pi\)
\(594\) 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 −0.810163 0.586204i \(-0.800622\pi\)
0.524022 + 0.851705i \(0.324431\pi\)
\(600\) 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 0.187764 0.982214i \(-0.439876\pi\)
−0.110091 + 0.993922i \(0.535114\pi\)
\(608\) −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 −0.695142 0.718872i \(-0.744659\pi\)
0.128623 + 0.991694i \(0.458944\pi\)
\(614\) −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 −0.162367 0.986730i \(-0.551913\pi\)
0.859202 + 0.511636i \(0.170961\pi\)
\(618\) −1.50598 1.88844i −0.0605795 0.0759643i
\(619\) −45.0405 + 6.78876i −1.81033 + 0.272863i −0.965165 0.261643i \(-0.915736\pi\)
−0.845165 + 0.534506i \(0.820498\pi\)
\(620\) −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 0.821822 0.569745i \(-0.192958\pi\)
−0.506737 + 0.862101i \(0.669148\pi\)
\(632\) 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 0.547866 0.836566i \(-0.315440\pi\)
−0.312465 + 0.949929i \(0.601155\pi\)
\(642\) 6.87730 6.38121i 0.271426 0.251846i
\(643\) −8.62182 + 37.7747i −0.340012 + 1.48969i 0.459035 + 0.888418i \(0.348195\pi\)
−0.799046 + 0.601270i \(0.794662\pi\)
\(644\) 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 0.769720 + 0.638382i \(0.220396\pi\)
−0.970477 + 0.241193i \(0.922461\pi\)
\(648\) −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 −0.300159 0.953889i \(-0.597040\pi\)
0.996765 + 0.0803731i \(0.0256112\pi\)
\(654\) −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 0.401611 0.915810i \(-0.368450\pi\)
−0.883237 + 0.468926i \(0.844641\pi\)
\(660\) −50.3949 + 34.3587i −1.96162 + 1.33741i
\(661\) 5.61134 + 7.03640i 0.218256 + 0.273684i 0.878891 0.477023i \(-0.158284\pi\)
−0.660635 + 0.750707i \(0.729713\pi\)
\(662\) −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 −0.738603 0.674141i \(-0.764514\pi\)
0.357698 + 0.933837i \(0.383562\pi\)
\(674\) −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 0.512944 0.858422i \(-0.328555\pi\)
0.990957 + 0.134182i \(0.0428407\pi\)
\(678\) −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 0.286633 0.958040i \(-0.407464\pi\)
−0.00848853 + 0.999964i \(0.502702\pi\)
\(684\) 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 −0.679093 0.734052i \(-0.737627\pi\)
0.681251 + 0.732050i \(0.261436\pi\)
\(692\) 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 0.872099 0.489329i \(-0.162758\pi\)
−0.972122 + 0.234475i \(0.924663\pi\)
\(702\) 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 0.992115 + 0.125333i \(0.0400000\pi\)
−0.839484 + 0.543384i \(0.817143\pi\)
\(710\) 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 0.176724 0.984260i \(-0.443450\pi\)
0.700470 + 0.713682i \(0.252974\pi\)
\(720\) 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 −0.241596 0.970377i \(-0.577671\pi\)
−0.909304 + 0.416133i \(0.863385\pi\)
\(728\) −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 0.727478 + 0.686131i \(0.240692\pi\)
−0.953136 + 0.302542i \(0.902165\pi\)
\(734\) 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 −0.0175538 + 0.999846i \(0.505588\pi\)
−0.970872 + 0.239600i \(0.922984\pi\)
\(740\) −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 −0.706800 0.707414i \(-0.749862\pi\)
−0.185485 + 0.982647i \(0.559386\pi\)
\(744\) −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 0.954522 0.298140i \(-0.0963664\pi\)
0.0711949 + 0.997462i \(0.477319\pi\)
\(752\) 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 −0.156010 0.987755i \(-0.549863\pi\)
0.142067 + 0.989857i \(0.454625\pi\)
\(758\) −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 0.867748 0.497004i \(-0.165566\pi\)
−0.974153 + 0.225889i \(0.927471\pi\)
\(762\) 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 −0.227978 0.973666i \(-0.573212\pi\)
−0.504843 + 0.863211i \(0.668450\pi\)
\(770\) −10.5210 5.06663i −0.379149 0.182589i
\(771\) −0.635215 + 0.589394i −0.0228767 + 0.0212265i
\(772\)