Properties

Label 322.2.i.d.71.1
Level $322$
Weight $2$
Character 322.71
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 71.1
Character \(\chi\) \(=\) 322.71
Dual form 322.2.i.d.127.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.473601 - 3.29397i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-2.68725 - 0.789049i) q^{5} +(1.38243 - 3.02711i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-7.74745 + 2.27486i) q^{9} +O(q^{10})\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.473601 - 3.29397i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-2.68725 - 0.789049i) q^{5} +(1.38243 - 3.02711i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-7.74745 + 2.27486i) q^{9} +(-1.83407 - 2.11663i) q^{10} +(2.03893 - 1.31034i) q^{11} +(2.79956 - 1.79917i) q^{12} +(-1.56505 - 1.80616i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-1.32642 + 9.22542i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-1.04126 + 2.28005i) q^{17} +(-7.74745 - 2.27486i) q^{18} +(-2.73211 - 5.98248i) q^{19} +(-0.398581 - 2.77219i) q^{20} +(-2.79956 - 1.79917i) q^{21} +2.42368 q^{22} +(4.38057 + 1.95208i) q^{23} +3.32784 q^{24} +(2.39246 + 1.53754i) q^{25} +(-0.340118 - 2.36557i) q^{26} +(7.01520 + 15.3611i) q^{27} +(0.959493 + 0.281733i) q^{28} +(2.32836 - 5.09840i) q^{29} +(-6.10349 + 7.04380i) q^{30} +(0.688945 - 4.79171i) q^{31} +(-0.959493 + 0.281733i) q^{32} +(-5.28186 - 6.09559i) q^{33} +(-2.10865 + 1.35515i) q^{34} +(-2.35610 + 1.51417i) q^{35} +(-5.28769 - 6.10232i) q^{36} +(-2.54083 + 0.746055i) q^{37} +(0.935979 - 6.50987i) q^{38} +(-5.20824 + 6.01062i) q^{39} +(1.16345 - 2.54761i) q^{40} +(10.2748 + 3.01695i) q^{41} +(-1.38243 - 3.02711i) q^{42} +(-0.540218 - 3.75730i) q^{43} +(2.03893 + 1.31034i) q^{44} +22.6143 q^{45} +(2.62979 + 4.01051i) q^{46} +4.68422 q^{47} +(2.79956 + 1.79917i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(1.18141 + 2.58693i) q^{50} +(8.00354 + 2.35005i) q^{51} +(0.992799 - 2.17393i) q^{52} +(9.27553 - 10.7045i) q^{53} +(-2.40330 + 16.7153i) q^{54} +(-6.51304 + 1.91240i) q^{55} +(0.654861 + 0.755750i) q^{56} +(-18.4122 + 11.8328i) q^{57} +(4.71515 - 3.03024i) q^{58} +(7.89747 + 9.11417i) q^{59} +(-8.94275 + 2.62583i) q^{60} +(0.362182 - 2.51903i) q^{61} +(3.17017 - 3.65858i) q^{62} +(-3.35428 + 7.34485i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(2.78053 + 6.08852i) q^{65} +(-1.14786 - 7.98352i) q^{66} +(-3.50857 - 2.25482i) q^{67} -2.50656 q^{68} +(4.35546 - 15.3540i) q^{69} -2.80070 q^{70} +(-6.22677 - 4.00170i) q^{71} +(-1.14912 - 7.99234i) q^{72} +(1.08217 + 2.36963i) q^{73} +(-2.54083 - 0.746055i) q^{74} +(3.93154 - 8.60888i) q^{75} +(4.30690 - 4.97043i) q^{76} +(0.344926 - 2.39901i) q^{77} +(-7.63104 + 2.24067i) q^{78} +(5.38873 + 6.21893i) q^{79} +(2.35610 - 1.51417i) q^{80} +(26.8985 - 17.2866i) q^{81} +(7.01262 + 8.09300i) q^{82} +(-16.2144 + 4.76098i) q^{83} +(0.473601 - 3.29397i) q^{84} +(4.59720 - 5.30545i) q^{85} +(1.57689 - 3.45290i) q^{86} +(-17.8967 - 5.25494i) q^{87} +(1.00683 + 2.20466i) q^{88} +(0.504383 + 3.50806i) q^{89} +(19.0244 + 12.2262i) q^{90} -2.38990 q^{91} +(0.0440769 + 4.79563i) q^{92} -16.1100 q^{93} +(3.94062 + 2.53248i) q^{94} +(2.62140 + 18.2322i) q^{95} +(1.38243 + 3.02711i) q^{96} +(-8.20917 - 2.41043i) q^{97} +(0.415415 - 0.909632i) q^{98} +(-12.8157 + 14.7901i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 + 0.540641i 0.594856 + 0.382291i
\(3\) −0.473601 3.29397i −0.273434 1.90177i −0.411601 0.911364i \(-0.635030\pi\)
0.138167 0.990409i \(-0.455879\pi\)
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) −2.68725 0.789049i −1.20178 0.352873i −0.381244 0.924474i \(-0.624504\pi\)
−0.820532 + 0.571601i \(0.806323\pi\)
\(6\) 1.38243 3.02711i 0.564377 1.23581i
\(7\) 0.654861 0.755750i 0.247514 0.285646i
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) −7.74745 + 2.27486i −2.58248 + 0.758285i
\(10\) −1.83407 2.11663i −0.579984 0.669337i
\(11\) 2.03893 1.31034i 0.614760 0.395082i −0.195879 0.980628i \(-0.562756\pi\)
0.810640 + 0.585546i \(0.199120\pi\)
\(12\) 2.79956 1.79917i 0.808163 0.519375i
\(13\) −1.56505 1.80616i −0.434067 0.500940i 0.496004 0.868320i \(-0.334800\pi\)
−0.930071 + 0.367381i \(0.880255\pi\)
\(14\) 0.959493 0.281733i 0.256435 0.0752962i
\(15\) −1.32642 + 9.22542i −0.342479 + 2.38199i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −1.04126 + 2.28005i −0.252543 + 0.552992i −0.992863 0.119263i \(-0.961947\pi\)
0.740320 + 0.672255i \(0.234674\pi\)
\(18\) −7.74745 2.27486i −1.82609 0.536189i
\(19\) −2.73211 5.98248i −0.626789 1.37248i −0.910477 0.413559i \(-0.864285\pi\)
0.283688 0.958917i \(-0.408442\pi\)
\(20\) −0.398581 2.77219i −0.0891255 0.619881i
\(21\) −2.79956 1.79917i −0.610914 0.392610i
\(22\) 2.42368 0.516730
\(23\) 4.38057 + 1.95208i 0.913412 + 0.407037i
\(24\) 3.32784 0.679293
\(25\) 2.39246 + 1.53754i 0.478492 + 0.307508i
\(26\) −0.340118 2.36557i −0.0667026 0.463927i
\(27\) 7.01520 + 15.3611i 1.35008 + 2.95625i
\(28\) 0.959493 + 0.281733i 0.181327 + 0.0532424i
\(29\) 2.32836 5.09840i 0.432366 0.946749i −0.560571 0.828106i \(-0.689418\pi\)
0.992937 0.118643i \(-0.0378544\pi\)
\(30\) −6.10349 + 7.04380i −1.11434 + 1.28602i
\(31\) 0.688945 4.79171i 0.123738 0.860617i −0.829524 0.558472i \(-0.811388\pi\)
0.953262 0.302146i \(-0.0977029\pi\)
\(32\) −0.959493 + 0.281733i −0.169616 + 0.0498038i
\(33\) −5.28186 6.09559i −0.919454 1.06111i
\(34\) −2.10865 + 1.35515i −0.361631 + 0.232406i
\(35\) −2.35610 + 1.51417i −0.398254 + 0.255942i
\(36\) −5.28769 6.10232i −0.881281 1.01705i
\(37\) −2.54083 + 0.746055i −0.417710 + 0.122651i −0.483832 0.875161i \(-0.660755\pi\)
0.0661223 + 0.997812i \(0.478937\pi\)
\(38\) 0.935979 6.50987i 0.151836 1.05604i
\(39\) −5.20824 + 6.01062i −0.833985 + 0.962470i
\(40\) 1.16345 2.54761i 0.183958 0.402812i
\(41\) 10.2748 + 3.01695i 1.60465 + 0.471169i 0.956836 0.290627i \(-0.0938639\pi\)
0.647817 + 0.761796i \(0.275682\pi\)
\(42\) −1.38243 3.02711i −0.213314 0.467093i
\(43\) −0.540218 3.75730i −0.0823824 0.572982i −0.988645 0.150268i \(-0.951986\pi\)
0.906263 0.422715i \(-0.138923\pi\)
\(44\) 2.03893 + 1.31034i 0.307380 + 0.197541i
\(45\) 22.6143 3.37114
\(46\) 2.62979 + 4.01051i 0.387742 + 0.591317i
\(47\) 4.68422 0.683264 0.341632 0.939834i \(-0.389020\pi\)
0.341632 + 0.939834i \(0.389020\pi\)
\(48\) 2.79956 + 1.79917i 0.404081 + 0.259687i
\(49\) −0.142315 0.989821i −0.0203307 0.141403i
\(50\) 1.18141 + 2.58693i 0.167076 + 0.365846i
\(51\) 8.00354 + 2.35005i 1.12072 + 0.329073i
\(52\) 0.992799 2.17393i 0.137676 0.301469i
\(53\) 9.27553 10.7045i 1.27409 1.47038i 0.461968 0.886897i \(-0.347144\pi\)
0.812125 0.583484i \(-0.198311\pi\)
\(54\) −2.40330 + 16.7153i −0.327048 + 2.27467i
\(55\) −6.51304 + 1.91240i −0.878218 + 0.257868i
\(56\) 0.654861 + 0.755750i 0.0875094 + 0.100991i
\(57\) −18.4122 + 11.8328i −2.43875 + 1.56729i
\(58\) 4.71515 3.03024i 0.619129 0.397890i
\(59\) 7.89747 + 9.11417i 1.02816 + 1.18656i 0.982242 + 0.187618i \(0.0600768\pi\)
0.0459210 + 0.998945i \(0.485378\pi\)
\(60\) −8.94275 + 2.62583i −1.15450 + 0.338993i
\(61\) 0.362182 2.51903i 0.0463727 0.322529i −0.953410 0.301678i \(-0.902453\pi\)
0.999783 0.0208513i \(-0.00663765\pi\)
\(62\) 3.17017 3.65858i 0.402612 0.464640i
\(63\) −3.35428 + 7.34485i −0.422599 + 0.925363i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 2.78053 + 6.08852i 0.344883 + 0.755188i
\(66\) −1.14786 7.98352i −0.141291 0.982704i
\(67\) −3.50857 2.25482i −0.428641 0.275471i 0.308481 0.951230i \(-0.400179\pi\)
−0.737122 + 0.675760i \(0.763816\pi\)
\(68\) −2.50656 −0.303965
\(69\) 4.35546 15.3540i 0.524335 1.84840i
\(70\) −2.80070 −0.334748
\(71\) −6.22677 4.00170i −0.738981 0.474914i 0.116211 0.993224i \(-0.462925\pi\)
−0.855193 + 0.518310i \(0.826561\pi\)
\(72\) −1.14912 7.99234i −0.135426 0.941906i
\(73\) 1.08217 + 2.36963i 0.126659 + 0.277345i 0.962329 0.271887i \(-0.0876477\pi\)
−0.835670 + 0.549232i \(0.814920\pi\)
\(74\) −2.54083 0.746055i −0.295365 0.0867271i
\(75\) 3.93154 8.60888i 0.453975 0.994067i
\(76\) 4.30690 4.97043i 0.494035 0.570147i
\(77\) 0.344926 2.39901i 0.0393079 0.273393i
\(78\) −7.63104 + 2.24067i −0.864045 + 0.253706i
\(79\) 5.38873 + 6.21893i 0.606280 + 0.699684i 0.973041 0.230631i \(-0.0740789\pi\)
−0.366761 + 0.930315i \(0.619533\pi\)
\(80\) 2.35610 1.51417i 0.263420 0.169290i
\(81\) 26.8985 17.2866i 2.98873 1.92074i
\(82\) 7.01262 + 8.09300i 0.774414 + 0.893722i
\(83\) −16.2144 + 4.76098i −1.77976 + 0.522586i −0.995235 0.0975066i \(-0.968913\pi\)
−0.784529 + 0.620092i \(0.787095\pi\)
\(84\) 0.473601 3.29397i 0.0516741 0.359401i
\(85\) 4.59720 5.30545i 0.498637 0.575457i
\(86\) 1.57689 3.45290i 0.170040 0.372336i
\(87\) −17.8967 5.25494i −1.91873 0.563389i
\(88\) 1.00683 + 2.20466i 0.107329 + 0.235017i
\(89\) 0.504383 + 3.50806i 0.0534645 + 0.371854i 0.998935 + 0.0461452i \(0.0146937\pi\)
−0.945470 + 0.325708i \(0.894397\pi\)
\(90\) 19.0244 + 12.2262i 2.00535 + 1.28876i
\(91\) −2.38990 −0.250529
\(92\) 0.0440769 + 4.79563i 0.00459534 + 0.499979i
\(93\) −16.1100 −1.67053
\(94\) 3.94062 + 2.53248i 0.406444 + 0.261206i
\(95\) 2.62140 + 18.2322i 0.268950 + 1.87059i
\(96\) 1.38243 + 3.02711i 0.141094 + 0.308953i
\(97\) −8.20917 2.41043i −0.833515 0.244742i −0.162989 0.986628i \(-0.552113\pi\)
−0.670526 + 0.741886i \(0.733932\pi\)
\(98\) 0.415415 0.909632i 0.0419633 0.0918867i
\(99\) −12.8157 + 14.7901i −1.28802 + 1.48646i
\(100\) −0.404733 + 2.81498i −0.0404733 + 0.281498i
\(101\) −4.91130 + 1.44209i −0.488692 + 0.143493i −0.516790 0.856112i \(-0.672873\pi\)
0.0280977 + 0.999605i \(0.491055\pi\)
\(102\) 5.46247 + 6.30403i 0.540866 + 0.624192i
\(103\) −8.08945 + 5.19878i −0.797078 + 0.512251i −0.874661 0.484735i \(-0.838916\pi\)
0.0775834 + 0.996986i \(0.475280\pi\)
\(104\) 2.01051 1.29208i 0.197147 0.126698i
\(105\) 6.10349 + 7.04380i 0.595640 + 0.687405i
\(106\) 13.5904 3.99050i 1.32001 0.387591i
\(107\) −0.492919 + 3.42833i −0.0476523 + 0.331429i 0.952025 + 0.306021i \(0.0989977\pi\)
−0.999677 + 0.0254083i \(0.991911\pi\)
\(108\) −11.0588 + 12.7625i −1.06413 + 1.22807i
\(109\) −2.38747 + 5.22783i −0.228678 + 0.500735i −0.988837 0.149002i \(-0.952394\pi\)
0.760159 + 0.649737i \(0.225121\pi\)
\(110\) −6.51304 1.91240i −0.620994 0.182340i
\(111\) 3.66082 + 8.01608i 0.347470 + 0.760852i
\(112\) 0.142315 + 0.989821i 0.0134475 + 0.0935293i
\(113\) −3.58932 2.30671i −0.337655 0.216997i 0.360815 0.932638i \(-0.382499\pi\)
−0.698469 + 0.715640i \(0.746135\pi\)
\(114\) −21.8866 −2.04987
\(115\) −10.2314 8.70222i −0.954083 0.811486i
\(116\) 5.60490 0.520402
\(117\) 16.2339 + 10.4329i 1.50082 + 0.964522i
\(118\) 1.71628 + 11.9370i 0.157997 + 1.09889i
\(119\) 1.04126 + 2.28005i 0.0954524 + 0.209012i
\(120\) −8.94275 2.62583i −0.816358 0.239704i
\(121\) −2.12932 + 4.66257i −0.193575 + 0.423870i
\(122\) 1.66658 1.92334i 0.150885 0.174131i
\(123\) 5.07159 35.2737i 0.457290 3.18052i
\(124\) 4.64490 1.36386i 0.417124 0.122479i
\(125\) 3.95439 + 4.56361i 0.353691 + 0.408182i
\(126\) −6.79272 + 4.36542i −0.605144 + 0.388902i
\(127\) 15.0594 9.67811i 1.33631 0.858793i 0.339656 0.940550i \(-0.389689\pi\)
0.996652 + 0.0817561i \(0.0260529\pi\)
\(128\) −0.654861 0.755750i −0.0578821 0.0667995i
\(129\) −12.1206 + 3.55892i −1.06716 + 0.313345i
\(130\) −0.952568 + 6.62526i −0.0835458 + 0.581074i
\(131\) −6.95672 + 8.02848i −0.607811 + 0.701451i −0.973345 0.229347i \(-0.926341\pi\)
0.365534 + 0.930798i \(0.380887\pi\)
\(132\) 3.35058 7.33675i 0.291631 0.638582i
\(133\) −6.31041 1.85290i −0.547182 0.160667i
\(134\) −1.73255 3.79376i −0.149670 0.327731i
\(135\) −6.73092 46.8146i −0.579306 4.02916i
\(136\) −2.10865 1.35515i −0.180815 0.116203i
\(137\) −6.85681 −0.585817 −0.292908 0.956140i \(-0.594623\pi\)
−0.292908 + 0.956140i \(0.594623\pi\)
\(138\) 11.9650 10.5618i 1.01853 0.899083i
\(139\) 16.3847 1.38973 0.694867 0.719139i \(-0.255463\pi\)
0.694867 + 0.719139i \(0.255463\pi\)
\(140\) −2.35610 1.51417i −0.199127 0.127971i
\(141\) −2.21845 15.4297i −0.186827 1.29941i
\(142\) −3.07481 6.73289i −0.258032 0.565011i
\(143\) −5.55771 1.63189i −0.464759 0.136466i
\(144\) 3.35428 7.34485i 0.279523 0.612070i
\(145\) −10.2798 + 11.8635i −0.853689 + 0.985210i
\(146\) −0.370737 + 2.57853i −0.0306824 + 0.213401i
\(147\) −3.19304 + 0.937561i −0.263357 + 0.0773287i
\(148\) −1.73413 2.00130i −0.142545 0.164506i
\(149\) 3.84794 2.47292i 0.315236 0.202590i −0.373449 0.927651i \(-0.621825\pi\)
0.688685 + 0.725061i \(0.258188\pi\)
\(150\) 7.96173 5.11670i 0.650073 0.417776i
\(151\) 8.47637 + 9.78225i 0.689797 + 0.796068i 0.987336 0.158642i \(-0.0507114\pi\)
−0.297539 + 0.954710i \(0.596166\pi\)
\(152\) 6.31041 1.85290i 0.511842 0.150290i
\(153\) 2.88035 20.0333i 0.232862 1.61959i
\(154\) 1.58717 1.83170i 0.127898 0.147602i
\(155\) −5.63226 + 12.3329i −0.452394 + 0.990605i
\(156\) −7.63104 2.24067i −0.610972 0.179398i
\(157\) −2.32368 5.08814i −0.185450 0.406078i 0.793958 0.607973i \(-0.208017\pi\)
−0.979407 + 0.201895i \(0.935290\pi\)
\(158\) 1.17108 + 8.14507i 0.0931664 + 0.647987i
\(159\) −39.6533 25.4836i −3.14471 2.02098i
\(160\) 2.80070 0.221415
\(161\) 4.34395 2.03227i 0.342351 0.160165i
\(162\) 31.9744 2.51214
\(163\) 5.00243 + 3.21487i 0.391820 + 0.251808i 0.721687 0.692220i \(-0.243367\pi\)
−0.329866 + 0.944028i \(0.607004\pi\)
\(164\) 1.52399 + 10.5996i 0.119003 + 0.827687i
\(165\) 9.38397 + 20.5480i 0.730541 + 1.59966i
\(166\) −16.2144 4.76098i −1.25848 0.369524i
\(167\) 9.69635 21.2321i 0.750326 1.64299i −0.0154518 0.999881i \(-0.504919\pi\)
0.765778 0.643105i \(-0.222354\pi\)
\(168\) 2.17927 2.51501i 0.168134 0.194038i
\(169\) 1.03725 7.21421i 0.0797882 0.554939i
\(170\) 6.73576 1.97780i 0.516609 0.151690i
\(171\) 34.7762 + 40.1338i 2.65940 + 3.06911i
\(172\) 3.19334 2.05224i 0.243490 0.156482i
\(173\) −1.98537 + 1.27592i −0.150945 + 0.0970065i −0.613933 0.789358i \(-0.710414\pi\)
0.462988 + 0.886364i \(0.346777\pi\)
\(174\) −12.2146 14.0964i −0.925987 1.06865i
\(175\) 2.72873 0.801226i 0.206272 0.0605670i
\(176\) −0.344926 + 2.39901i −0.0259997 + 0.180832i
\(177\) 26.2815 30.3305i 1.97544 2.27978i
\(178\) −1.47229 + 3.22386i −0.110353 + 0.241638i
\(179\) 13.3295 + 3.91388i 0.996291 + 0.292537i 0.738933 0.673779i \(-0.235330\pi\)
0.257358 + 0.966316i \(0.417148\pi\)
\(180\) 9.39433 + 20.5707i 0.700212 + 1.53325i
\(181\) −0.666970 4.63888i −0.0495755 0.344805i −0.999479 0.0322632i \(-0.989729\pi\)
0.949904 0.312542i \(-0.101181\pi\)
\(182\) −2.01051 1.29208i −0.149029 0.0957750i
\(183\) −8.46915 −0.626057
\(184\) −2.55563 + 4.05817i −0.188404 + 0.299172i
\(185\) 7.41652 0.545274
\(186\) −13.5526 8.70975i −0.993727 0.638630i
\(187\) 0.864576 + 6.01326i 0.0632241 + 0.439733i
\(188\) 1.94590 + 4.26092i 0.141919 + 0.310759i
\(189\) 16.2032 + 4.75768i 1.17861 + 0.346070i
\(190\) −7.65182 + 16.7551i −0.555121 + 1.21555i
\(191\) −5.33339 + 6.15506i −0.385911 + 0.445365i −0.915153 0.403106i \(-0.867931\pi\)
0.529243 + 0.848471i \(0.322476\pi\)
\(192\) −0.473601 + 3.29397i −0.0341792 + 0.237722i
\(193\) −1.63080 + 0.478847i −0.117388 + 0.0344681i −0.339899 0.940462i \(-0.610393\pi\)
0.222511 + 0.974930i \(0.428575\pi\)
\(194\) −5.60282 6.46600i −0.402259 0.464232i
\(195\) 18.7385 12.0425i 1.34189 0.862383i
\(196\) 0.841254 0.540641i 0.0600895 0.0386172i
\(197\) 2.48513 + 2.86799i 0.177058 + 0.204336i 0.837341 0.546681i \(-0.184109\pi\)
−0.660283 + 0.751017i \(0.729564\pi\)
\(198\) −18.7773 + 5.51352i −1.33445 + 0.391829i
\(199\) 3.12374 21.7261i 0.221436 1.54012i −0.511177 0.859475i \(-0.670790\pi\)
0.732613 0.680645i \(-0.238301\pi\)
\(200\) −1.86237 + 2.14930i −0.131690 + 0.151978i
\(201\) −5.76565 + 12.6250i −0.406678 + 0.890500i
\(202\) −4.91130 1.44209i −0.345558 0.101465i
\(203\) −2.32836 5.09840i −0.163419 0.357838i
\(204\) 1.18711 + 8.25653i 0.0831143 + 0.578072i
\(205\) −25.2305 16.2146i −1.76217 1.13248i
\(206\) −9.61595 −0.669975
\(207\) −38.3789 5.15850i −2.66752 0.358540i
\(208\) 2.38990 0.165710
\(209\) −13.4097 8.61787i −0.927566 0.596110i
\(210\) 1.32642 + 9.22542i 0.0915313 + 0.636614i
\(211\) −1.67468 3.66703i −0.115290 0.252449i 0.843187 0.537621i \(-0.180677\pi\)
−0.958477 + 0.285172i \(0.907949\pi\)
\(212\) 13.5904 + 3.99050i 0.933391 + 0.274068i
\(213\) −10.2325 + 22.4060i −0.701117 + 1.53523i
\(214\) −2.26816 + 2.61760i −0.155049 + 0.178936i
\(215\) −1.51299 + 10.5231i −0.103185 + 0.717667i
\(216\) −16.2032 + 4.75768i −1.10249 + 0.323719i
\(217\) −3.17017 3.65858i −0.215205 0.248360i
\(218\) −4.83484 + 3.10716i −0.327457 + 0.210444i
\(219\) 7.29297 4.68691i 0.492814 0.316712i
\(220\) −4.44520 5.13003i −0.299695 0.345867i
\(221\) 5.74776 1.68770i 0.386636 0.113527i
\(222\) −1.25414 + 8.72274i −0.0841724 + 0.585432i
\(223\) −3.89712 + 4.49752i −0.260971 + 0.301176i −0.871080 0.491141i \(-0.836580\pi\)
0.610109 + 0.792317i \(0.291125\pi\)
\(224\) −0.415415 + 0.909632i −0.0277561 + 0.0607773i
\(225\) −22.0332 6.46952i −1.46888 0.431301i
\(226\) −1.77242 3.88106i −0.117900 0.258165i
\(227\) 1.83817 + 12.7847i 0.122003 + 0.848552i 0.955281 + 0.295698i \(0.0955523\pi\)
−0.833278 + 0.552854i \(0.813539\pi\)
\(228\) −18.4122 11.8328i −1.21938 0.783646i
\(229\) 12.5774 0.831139 0.415569 0.909562i \(-0.363582\pi\)
0.415569 + 0.909562i \(0.363582\pi\)
\(230\) −3.90243 12.8523i −0.257319 0.847455i
\(231\) −8.06562 −0.530679
\(232\) 4.71515 + 3.03024i 0.309564 + 0.198945i
\(233\) 1.77601 + 12.3524i 0.116350 + 0.809232i 0.961520 + 0.274735i \(0.0885900\pi\)
−0.845170 + 0.534498i \(0.820501\pi\)
\(234\) 8.01638 + 17.5534i 0.524047 + 1.14750i
\(235\) −12.5877 3.69608i −0.821130 0.241106i
\(236\) −5.00981 + 10.9700i −0.326111 + 0.714083i
\(237\) 17.9328 20.6956i 1.16486 1.34432i
\(238\) −0.356721 + 2.48105i −0.0231228 + 0.160822i
\(239\) 0.770307 0.226183i 0.0498270 0.0146305i −0.256724 0.966485i \(-0.582643\pi\)
0.306551 + 0.951854i \(0.400825\pi\)
\(240\) −6.10349 7.04380i −0.393979 0.454675i
\(241\) 11.9454 7.67683i 0.769470 0.494508i −0.0960539 0.995376i \(-0.530622\pi\)
0.865524 + 0.500868i \(0.166986\pi\)
\(242\) −4.31208 + 2.77120i −0.277191 + 0.178140i
\(243\) −36.5045 42.1285i −2.34177 2.70254i
\(244\) 2.44185 0.716992i 0.156323 0.0459007i
\(245\) −0.398581 + 2.77219i −0.0254644 + 0.177109i
\(246\) 23.3369 26.9322i 1.48791 1.71713i
\(247\) −6.52946 + 14.2975i −0.415459 + 0.909729i
\(248\) 4.64490 + 1.36386i 0.294951 + 0.0866055i
\(249\) 23.3617 + 51.1550i 1.48049 + 3.24181i
\(250\) 0.859371 + 5.97706i 0.0543514 + 0.378022i
\(251\) 21.2732 + 13.6715i 1.34275 + 0.862935i 0.997150 0.0754464i \(-0.0240382\pi\)
0.345603 + 0.938381i \(0.387675\pi\)
\(252\) −8.07452 −0.508647
\(253\) 11.4896 1.75988i 0.722343 0.110642i
\(254\) 17.9012 1.12322
\(255\) −19.6532 12.6304i −1.23073 0.790944i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 6.46479 + 14.1559i 0.403263 + 0.883022i 0.996929 + 0.0783109i \(0.0249527\pi\)
−0.593666 + 0.804711i \(0.702320\pi\)
\(258\) −12.1206 3.55892i −0.754594 0.221569i
\(259\) −1.10006 + 2.40879i −0.0683543 + 0.149675i
\(260\) −4.38324 + 5.05852i −0.271837 + 0.313716i
\(261\) −6.44073 + 44.7963i −0.398671 + 2.77282i
\(262\) −10.1929 + 2.99290i −0.629719 + 0.184902i
\(263\) −4.23623 4.88887i −0.261217 0.301461i 0.609957 0.792434i \(-0.291187\pi\)
−0.871174 + 0.490974i \(0.836641\pi\)
\(264\) 6.78523 4.36060i 0.417602 0.268377i
\(265\) −33.3721 + 21.4469i −2.05003 + 1.31748i
\(266\) −4.30690 4.97043i −0.264073 0.304756i
\(267\) 11.3166 3.32284i 0.692562 0.203355i
\(268\) 0.593545 4.12820i 0.0362566 0.252170i
\(269\) 10.0263 11.5710i 0.611316 0.705496i −0.362718 0.931899i \(-0.618151\pi\)
0.974034 + 0.226403i \(0.0726966\pi\)
\(270\) 19.6475 43.0220i 1.19571 2.61823i
\(271\) −2.29255 0.673153i −0.139262 0.0408911i 0.211359 0.977409i \(-0.432211\pi\)
−0.350621 + 0.936517i \(0.614029\pi\)
\(272\) −1.04126 2.28005i −0.0631358 0.138248i
\(273\) 1.13186 + 7.87224i 0.0685032 + 0.476450i
\(274\) −5.76832 3.70707i −0.348477 0.223952i
\(275\) 6.89276 0.415649
\(276\) 15.7758 2.41640i 0.949590 0.145450i
\(277\) −31.0003 −1.86263 −0.931315 0.364215i \(-0.881337\pi\)
−0.931315 + 0.364215i \(0.881337\pi\)
\(278\) 13.7837 + 8.85825i 0.826691 + 0.531282i
\(279\) 5.56290 + 38.6908i 0.333042 + 2.31636i
\(280\) −1.16345 2.54761i −0.0695296 0.152249i
\(281\) −13.0781 3.84008i −0.780175 0.229080i −0.132689 0.991158i \(-0.542361\pi\)
−0.647486 + 0.762078i \(0.724179\pi\)
\(282\) 6.47563 14.1797i 0.385618 0.844386i
\(283\) −14.3580 + 16.5700i −0.853492 + 0.984982i −0.999991 0.00422863i \(-0.998654\pi\)
0.146499 + 0.989211i \(0.453199\pi\)
\(284\) 1.05338 7.32643i 0.0625067 0.434744i
\(285\) 58.8148 17.2696i 3.48389 1.02296i
\(286\) −3.79318 4.37756i −0.224295 0.258851i
\(287\) 9.00862 5.78949i 0.531762 0.341743i
\(288\) 6.79272 4.36542i 0.400265 0.257235i
\(289\) 7.01825 + 8.09949i 0.412838 + 0.476441i
\(290\) −15.0618 + 4.42254i −0.884459 + 0.259701i
\(291\) −4.05201 + 28.1823i −0.237533 + 1.65208i
\(292\) −1.70594 + 1.96876i −0.0998327 + 0.115213i
\(293\) 9.47619 20.7500i 0.553605 1.21223i −0.401473 0.915871i \(-0.631502\pi\)
0.955078 0.296355i \(-0.0957711\pi\)
\(294\) −3.19304 0.937561i −0.186222 0.0546797i
\(295\) −14.0310 30.7236i −0.816915 1.78879i
\(296\) −0.376863 2.62114i −0.0219047 0.152351i
\(297\) 34.4318 + 22.1280i 1.99794 + 1.28400i
\(298\) 4.57406 0.264968
\(299\) −3.33003 10.9671i −0.192580 0.634245i
\(300\) 9.46413 0.546412
\(301\) −3.19334 2.05224i −0.184061 0.118289i
\(302\) 1.84209 + 12.8120i 0.106000 + 0.737249i
\(303\) 7.07618 + 15.4947i 0.406516 + 0.890146i
\(304\) 6.31041 + 1.85290i 0.361927 + 0.106271i
\(305\) −2.96092 + 6.48350i −0.169542 + 0.371244i
\(306\) 13.2539 15.2958i 0.757675 0.874404i
\(307\) −0.980452 + 6.81919i −0.0559574 + 0.389192i 0.942526 + 0.334133i \(0.108444\pi\)
−0.998483 + 0.0550585i \(0.982465\pi\)
\(308\) 2.32550 0.682830i 0.132508 0.0389078i
\(309\) 20.9558 + 24.1843i 1.19213 + 1.37579i
\(310\) −11.4059 + 7.33010i −0.647809 + 0.416321i
\(311\) −0.299362 + 0.192388i −0.0169753 + 0.0109093i −0.549101 0.835756i \(-0.685030\pi\)
0.532126 + 0.846665i \(0.321393\pi\)
\(312\) −5.20824 6.01062i −0.294858 0.340285i
\(313\) −3.67851 + 1.08011i −0.207922 + 0.0610513i −0.384035 0.923319i \(-0.625466\pi\)
0.176113 + 0.984370i \(0.443648\pi\)
\(314\) 0.796056 5.53669i 0.0449241 0.312454i
\(315\) 14.8092 17.0908i 0.834406 0.962956i
\(316\) −3.41838 + 7.48520i −0.192299 + 0.421076i
\(317\) −22.2916 6.54540i −1.25202 0.367626i −0.412501 0.910957i \(-0.635345\pi\)
−0.839518 + 0.543331i \(0.817163\pi\)
\(318\) −19.5810 42.8764i −1.09805 2.40439i
\(319\) −1.93328 13.4462i −0.108243 0.752844i
\(320\) 2.35610 + 1.51417i 0.131710 + 0.0846449i
\(321\) 11.5263 0.643333
\(322\) 4.75309 + 0.638861i 0.264879 + 0.0356023i
\(323\) 16.4852 0.917260
\(324\) 26.8985 + 17.2866i 1.49436 + 0.960369i
\(325\) −0.967270 6.72751i −0.0536545 0.373175i
\(326\) 2.47022 + 5.40903i 0.136813 + 0.299579i
\(327\) 18.3510 + 5.38834i 1.01481 + 0.297976i
\(328\) −4.44850 + 9.74086i −0.245627 + 0.537849i
\(329\) 3.06751 3.54010i 0.169117 0.195172i
\(330\) −3.21481 + 22.3595i −0.176969 + 1.23085i
\(331\) 21.9911 6.45717i 1.20874 0.354918i 0.385552 0.922686i \(-0.374011\pi\)
0.823189 + 0.567768i \(0.192193\pi\)
\(332\) −11.0665 12.7714i −0.607351 0.700920i
\(333\) 17.9878 11.5600i 0.985724 0.633486i
\(334\) 19.6360 12.6193i 1.07443 0.690497i
\(335\) 7.64926 + 8.82772i 0.417924 + 0.482310i
\(336\) 3.19304 0.937561i 0.174195 0.0511481i
\(337\) −0.206330 + 1.43505i −0.0112395 + 0.0781724i −0.994669 0.103118i \(-0.967118\pi\)
0.983430 + 0.181290i \(0.0580273\pi\)
\(338\) 4.77288 5.50820i 0.259611 0.299607i
\(339\) −5.89834 + 12.9156i −0.320354 + 0.701477i
\(340\) 6.73576 + 1.97780i 0.365298 + 0.107261i
\(341\) −4.87407 10.6727i −0.263946 0.577960i
\(342\) 7.55758 + 52.5641i 0.408667 + 2.84234i
\(343\) −0.841254 0.540641i −0.0454234 0.0291919i
\(344\) 3.79593 0.204663
\(345\) −23.8192 + 37.8233i −1.28238 + 2.03634i
\(346\) −2.36002 −0.126875
\(347\) 27.8088 + 17.8717i 1.49286 + 0.959401i 0.995788 + 0.0916905i \(0.0292270\pi\)
0.497070 + 0.867711i \(0.334409\pi\)
\(348\) −2.65449 18.4624i −0.142296 0.989687i
\(349\) −1.48259 3.24642i −0.0793612 0.173777i 0.865792 0.500404i \(-0.166815\pi\)
−0.945153 + 0.326627i \(0.894088\pi\)
\(350\) 2.72873 + 0.801226i 0.145857 + 0.0428273i
\(351\) 16.7656 36.7115i 0.894882 1.95952i
\(352\) −1.58717 + 1.83170i −0.0845966 + 0.0976297i
\(353\) 5.16924 35.9529i 0.275131 1.91358i −0.116012 0.993248i \(-0.537011\pi\)
0.391143 0.920330i \(-0.372080\pi\)
\(354\) 38.5073 11.3068i 2.04664 0.600948i
\(355\) 13.5754 + 15.6668i 0.720505 + 0.831508i
\(356\) −2.98152 + 1.91610i −0.158020 + 0.101553i
\(357\) 7.01726 4.50972i 0.371393 0.238680i
\(358\) 9.09745 + 10.4990i 0.480815 + 0.554890i
\(359\) 4.70224 1.38070i 0.248175 0.0728707i −0.155279 0.987871i \(-0.549628\pi\)
0.403454 + 0.915000i \(0.367810\pi\)
\(360\) −3.21835 + 22.3841i −0.169622 + 1.17975i
\(361\) −15.8833 + 18.3303i −0.835965 + 0.964755i
\(362\) 1.94688 4.26307i 0.102326 0.224062i
\(363\) 16.3668 + 4.80573i 0.859034 + 0.252235i
\(364\) −0.992799 2.17393i −0.0520368 0.113945i
\(365\) −1.03832 7.22169i −0.0543483 0.378001i
\(366\) −7.12470 4.57877i −0.372414 0.239336i
\(367\) −6.33730 −0.330804 −0.165402 0.986226i \(-0.552892\pi\)
−0.165402 + 0.986226i \(0.552892\pi\)
\(368\) −4.34395 + 2.03227i −0.226444 + 0.105939i
\(369\) −86.4666 −4.50127
\(370\) 6.23918 + 4.00967i 0.324359 + 0.208453i
\(371\) −2.01577 14.0200i −0.104653 0.727880i
\(372\) −6.69235 14.6542i −0.346982 0.759785i
\(373\) −4.96384 1.45752i −0.257018 0.0754673i 0.150685 0.988582i \(-0.451852\pi\)
−0.407703 + 0.913114i \(0.633670\pi\)
\(374\) −2.52369 + 5.52610i −0.130497 + 0.285748i
\(375\) 13.1596 15.1870i 0.679558 0.784251i
\(376\) −0.666634 + 4.63654i −0.0343790 + 0.239111i
\(377\) −12.8525 + 3.77385i −0.661940 + 0.194363i
\(378\) 11.0588 + 12.7625i 0.568802 + 0.656432i
\(379\) −7.78275 + 5.00167i −0.399773 + 0.256918i −0.725044 0.688702i \(-0.758181\pi\)
0.325271 + 0.945621i \(0.394544\pi\)
\(380\) −15.4956 + 9.95844i −0.794909 + 0.510857i
\(381\) −39.0116 45.0217i −1.99862 2.30653i
\(382\) −7.81441 + 2.29452i −0.399820 + 0.117398i
\(383\) −4.39565 + 30.5724i −0.224607 + 1.56218i 0.495681 + 0.868505i \(0.334918\pi\)
−0.720289 + 0.693675i \(0.755991\pi\)
\(384\) −2.17927 + 2.51501i −0.111211 + 0.128344i
\(385\) −2.81984 + 6.17458i −0.143712 + 0.314686i
\(386\) −1.63080 0.478847i −0.0830057 0.0243727i
\(387\) 12.7326 + 27.8806i 0.647235 + 1.41725i
\(388\) −1.21761 8.46866i −0.0618147 0.429931i
\(389\) 13.4057 + 8.61531i 0.679695 + 0.436813i 0.834409 0.551146i \(-0.185809\pi\)
−0.154714 + 0.987959i \(0.549446\pi\)
\(390\) 22.2745 1.12791
\(391\) −9.01216 + 7.95527i −0.455764 + 0.402315i
\(392\) 1.00000 0.0505076
\(393\) 29.7403 + 19.1129i 1.50020 + 0.964119i
\(394\) 0.540069 + 3.75626i 0.0272083 + 0.189238i
\(395\) −9.57385 20.9638i −0.481713 1.05480i
\(396\) −18.7773 5.51352i −0.943597 0.277065i
\(397\) 6.83155 14.9590i 0.342866 0.750772i −0.657130 0.753778i \(-0.728230\pi\)
0.999995 + 0.00300606i \(0.000956860\pi\)
\(398\) 14.3739 16.5883i 0.720496 0.831497i
\(399\) −3.11479 + 21.6638i −0.155934 + 1.08455i
\(400\) −2.72873 + 0.801226i −0.136436 + 0.0400613i
\(401\) −4.61191 5.32242i −0.230308 0.265789i 0.628820 0.777551i \(-0.283538\pi\)
−0.859127 + 0.511762i \(0.828993\pi\)
\(402\) −11.6760 + 7.50369i −0.582345 + 0.374250i
\(403\) −9.73285 + 6.25493i −0.484828 + 0.311580i
\(404\) −3.35200 3.86841i −0.166768 0.192461i
\(405\) −85.9232 + 25.2293i −4.26956 + 1.25366i
\(406\) 0.797661 5.54785i 0.0395873 0.275335i
\(407\) −4.20298 + 4.85050i −0.208334 + 0.240431i
\(408\) −3.46516 + 7.58763i −0.171551 + 0.375644i
\(409\) 0.191659 + 0.0562763i 0.00947694 + 0.00278268i 0.286468 0.958090i \(-0.407519\pi\)
−0.276991 + 0.960873i \(0.589337\pi\)
\(410\) −12.4589 27.2812i −0.615302 1.34732i
\(411\) 3.24739 + 22.5861i 0.160182 + 1.11409i
\(412\) −8.08945 5.19878i −0.398539 0.256125i
\(413\) 12.0598 0.593423
\(414\) −29.4975 25.0888i −1.44972 1.23305i
\(415\) 47.3289 2.32328
\(416\) 2.01051 + 1.29208i 0.0985733 + 0.0633492i
\(417\) −7.75982 53.9707i −0.380000 2.64296i
\(418\) −6.62176 14.4996i −0.323881 0.709200i
\(419\) −17.8542 5.24248i −0.872237 0.256112i −0.185170 0.982706i \(-0.559284\pi\)
−0.687066 + 0.726595i \(0.741102\pi\)
\(420\) −3.87179 + 8.47803i −0.188924 + 0.413686i
\(421\) 21.2509 24.5249i 1.03571 1.19527i 0.0552626 0.998472i \(-0.482400\pi\)
0.980444 0.196797i \(-0.0630541\pi\)
\(422\) 0.573719 3.99031i 0.0279282 0.194245i
\(423\) −36.2908 + 10.6559i −1.76452 + 0.518109i
\(424\) 9.27553 + 10.7045i 0.450460 + 0.519858i
\(425\) −5.99685 + 3.85394i −0.290890 + 0.186944i
\(426\) −20.7217 + 13.3170i −1.00397 + 0.645212i
\(427\) −1.66658 1.92334i −0.0806515 0.0930767i
\(428\) −3.32328 + 0.975804i −0.160637 + 0.0471673i
\(429\) −2.74326 + 19.0798i −0.132446 + 0.921181i
\(430\) −6.96201 + 8.03458i −0.335738 + 0.387462i
\(431\) 12.6292 27.6541i 0.608328 1.33205i −0.315384 0.948964i \(-0.602133\pi\)
0.923712 0.383088i \(-0.125139\pi\)
\(432\) −16.2032 4.75768i −0.779575 0.228904i
\(433\) −5.28841 11.5800i −0.254145 0.556499i 0.738957 0.673752i \(-0.235318\pi\)
−0.993102 + 0.117253i \(0.962591\pi\)
\(434\) −0.688945 4.79171i −0.0330704 0.230010i
\(435\) 43.9465 + 28.2427i 2.10707 + 1.35413i
\(436\) −5.74719 −0.275240
\(437\) −0.289886 31.5400i −0.0138671 1.50876i
\(438\) 8.66918 0.414229
\(439\) 4.79394 + 3.08088i 0.228802 + 0.147042i 0.650020 0.759917i \(-0.274761\pi\)
−0.421217 + 0.906960i \(0.638397\pi\)
\(440\) −0.966034 6.71891i −0.0460538 0.320311i
\(441\) 3.35428 + 7.34485i 0.159728 + 0.349755i
\(442\) 5.74776 + 1.68770i 0.273393 + 0.0802755i
\(443\) −12.7805 + 27.9853i −0.607218 + 1.32962i 0.317242 + 0.948344i \(0.397243\pi\)
−0.924461 + 0.381278i \(0.875484\pi\)
\(444\) −5.77092 + 6.66000i −0.273876 + 0.316069i
\(445\) 1.41263 9.82503i 0.0669649 0.465751i
\(446\) −5.71001 + 1.67661i −0.270377 + 0.0793898i
\(447\) −9.96812 11.5038i −0.471476 0.544112i
\(448\) −0.841254 + 0.540641i −0.0397455 + 0.0255429i
\(449\) −21.3574 + 13.7256i −1.00792 + 0.647750i −0.936854 0.349722i \(-0.886276\pi\)
−0.0710651 + 0.997472i \(0.522640\pi\)
\(450\) −15.0378 17.3545i −0.708888 0.818101i
\(451\) 24.9028 7.31213i 1.17263 0.344315i
\(452\) 0.607205 4.22320i 0.0285605 0.198643i
\(453\) 28.2080 32.5538i 1.32533 1.52951i
\(454\) −5.36558 + 11.7490i −0.251819 + 0.551407i
\(455\) 6.42226 + 1.88574i 0.301080 + 0.0884051i
\(456\) −9.09202 19.9088i −0.425773 0.932313i
\(457\) 0.563105 + 3.91648i 0.0263409 + 0.183205i 0.998744 0.0501015i \(-0.0159545\pi\)
−0.972403 + 0.233307i \(0.925045\pi\)
\(458\) 10.5808 + 6.79986i 0.494408 + 0.317737i
\(459\) −42.3288 −1.97574
\(460\) 3.66554 12.9218i 0.170907 0.602484i
\(461\) −25.0839 −1.16827 −0.584137 0.811655i \(-0.698567\pi\)
−0.584137 + 0.811655i \(0.698567\pi\)
\(462\) −6.78523 4.36060i −0.315678 0.202874i
\(463\) −3.51988 24.4813i −0.163583 1.13774i −0.891811 0.452408i \(-0.850565\pi\)
0.728228 0.685335i \(-0.240344\pi\)
\(464\) 2.32836 + 5.09840i 0.108091 + 0.236687i
\(465\) 43.2918 + 12.7116i 2.00761 + 0.589487i
\(466\) −5.18414 + 11.3517i −0.240150 + 0.525856i
\(467\) −6.82419 + 7.87553i −0.315786 + 0.364436i −0.891346 0.453323i \(-0.850238\pi\)
0.575561 + 0.817759i \(0.304784\pi\)
\(468\) −2.74629 + 19.1009i −0.126947 + 0.882938i
\(469\) −4.00171 + 1.17501i −0.184782 + 0.0542568i
\(470\) −8.59119 9.91476i −0.396282 0.457334i
\(471\) −15.6597 + 10.0639i −0.721560 + 0.463719i
\(472\) −10.1453 + 6.52000i −0.466976 + 0.300108i
\(473\) −6.02480 6.95299i −0.277021 0.319699i
\(474\) 26.2750 7.71503i 1.20685 0.354363i
\(475\) 2.66185 18.5136i 0.122134 0.849462i
\(476\) −1.64145 + 1.89433i −0.0752356 + 0.0868265i
\(477\) −47.5104 + 104.033i −2.17535 + 4.76336i
\(478\) 0.770307 + 0.226183i 0.0352330 + 0.0103454i
\(479\) 13.1442 + 28.7819i 0.600575 + 1.31508i 0.928837 + 0.370490i \(0.120810\pi\)
−0.328261 + 0.944587i \(0.606463\pi\)
\(480\) −1.32642 9.22542i −0.0605423 0.421081i
\(481\) 5.32402 + 3.42154i 0.242754 + 0.156009i
\(482\) 14.1995 0.646770
\(483\) −8.75153 13.3463i −0.398208 0.607279i
\(484\) −5.12578 −0.232990
\(485\) 20.1582 + 12.9549i 0.915336 + 0.588250i
\(486\) −7.93319 55.1766i −0.359857 2.50286i
\(487\) 12.7768 + 27.9772i 0.578970 + 1.26777i 0.941882 + 0.335944i \(0.109055\pi\)
−0.362912 + 0.931823i \(0.618217\pi\)
\(488\) 2.44185 + 0.716992i 0.110537 + 0.0324567i
\(489\) 8.22051 18.0004i 0.371744 0.814006i
\(490\) −1.83407 + 2.11663i −0.0828548 + 0.0956195i
\(491\) 1.67747 11.6670i 0.0757030 0.526526i −0.916318 0.400452i \(-0.868853\pi\)
0.992021 0.126074i \(-0.0402377\pi\)
\(492\) 34.1929 10.0399i 1.54153 0.452635i
\(493\) 9.20015 + 10.6175i 0.414354 + 0.478190i
\(494\) −13.2228 + 8.49775i −0.594920 + 0.382332i
\(495\) 46.1090 29.6325i 2.07245 1.33188i
\(496\) 3.17017 + 3.65858i 0.142345 + 0.164275i
\(497\) −7.10195 + 2.08532i −0.318566 + 0.0935394i
\(498\) −8.00336 + 55.6646i −0.358639 + 2.49439i
\(499\) 27.3368 31.5484i 1.22376 1.41230i 0.342604 0.939480i \(-0.388691\pi\)
0.881160 0.472819i \(-0.156763\pi\)
\(500\) −2.50849 + 5.49283i −0.112183 + 0.245647i
\(501\) −74.5299 21.8840i −3.32975 0.977703i
\(502\) 10.5048 + 23.0023i 0.468852 + 1.02664i
\(503\) 0.853005 + 5.93278i 0.0380336 + 0.264530i 0.999962 0.00877377i \(-0.00279281\pi\)
−0.961928 + 0.273303i \(0.911884\pi\)
\(504\) −6.79272 4.36542i −0.302572 0.194451i
\(505\) 14.3358 0.637934
\(506\) 10.6171 + 4.73122i 0.471987 + 0.210329i
\(507\) −24.2546 −1.07719
\(508\) 15.0594 + 9.67811i 0.668154 + 0.429397i
\(509\) 3.26117 + 22.6820i 0.144549 + 1.00536i 0.924952 + 0.380083i \(0.124105\pi\)
−0.780403 + 0.625277i \(0.784986\pi\)
\(510\) −9.70486 21.2507i −0.429739 0.940996i
\(511\) 2.49952 + 0.733926i 0.110572 + 0.0324670i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) 72.7315 83.9366i 3.21117 3.70589i
\(514\) −2.21474 + 15.4039i −0.0976880 + 0.679435i
\(515\) 25.8405 7.58745i 1.13867 0.334343i
\(516\) −8.27237 9.54683i −0.364171 0.420276i
\(517\) 9.55080 6.13793i 0.420044 0.269946i
\(518\) −2.22772 + 1.43167i −0.0978804 + 0.0629039i
\(519\) 5.14312 + 5.93547i 0.225758 + 0.260538i
\(520\) −6.42226 + 1.88574i −0.281635 + 0.0826954i
\(521\) 2.14759 14.9368i 0.0940878 0.654395i −0.887134 0.461512i \(-0.847307\pi\)
0.981222 0.192883i \(-0.0617838\pi\)
\(522\) −29.6370 + 34.2029i −1.29718 + 1.49702i
\(523\) 13.1533 28.8018i 0.575155 1.25941i −0.368853 0.929488i \(-0.620249\pi\)
0.944007 0.329925i \(-0.107023\pi\)
\(524\) −10.1929 2.99290i −0.445278 0.130745i
\(525\) −3.93154 8.60888i −0.171587 0.375722i
\(526\) −0.920621 6.40306i −0.0401410 0.279187i
\(527\) 10.2080 + 6.56026i 0.444666 + 0.285769i
\(528\) 8.06562 0.351011
\(529\) 15.3787 + 17.1025i 0.668641 + 0.743585i
\(530\) −39.6695 −1.72313
\(531\) −81.9187 52.6459i −3.55497 2.28464i
\(532\) −0.935979 6.50987i −0.0405798 0.282239i
\(533\) −10.6315 23.2796i −0.460499 1.00835i
\(534\) 11.3166 + 3.32284i 0.489716 + 0.143793i
\(535\) 4.02972 8.82385i 0.174220 0.381488i
\(536\) 2.73120 3.15197i 0.117970 0.136144i
\(537\) 6.57936 45.7604i 0.283920 1.97471i
\(538\) 14.6904 4.31350i 0.633350 0.185968i
\(539\) −1.58717 1.83170i −0.0683644 0.0788967i
\(540\) 39.7879 25.5702i 1.71220 1.10036i
\(541\) −28.3278 + 18.2052i −1.21791 + 0.782702i −0.981965 0.189064i \(-0.939455\pi\)
−0.235944 + 0.971767i \(0.575818\pi\)
\(542\) −1.56468 1.80574i −0.0672088 0.0775631i
\(543\) −14.9644 + 4.39396i −0.642186 + 0.188563i
\(544\) 0.356721 2.48105i 0.0152943 0.106374i
\(545\) 10.5407 12.1647i 0.451516 0.521077i
\(546\) −3.30388 + 7.23448i −0.141393 + 0.309607i
\(547\) −3.31116 0.972246i −0.141575 0.0415702i 0.210177 0.977663i \(-0.432596\pi\)
−0.351752 + 0.936093i \(0.614414\pi\)
\(548\) −2.84842 6.23717i −0.121679 0.266439i
\(549\) 2.92445 + 20.3400i 0.124813 + 0.868090i
\(550\) 5.79856 + 3.72651i 0.247252 + 0.158899i
\(551\) −36.8624 −1.57039
\(552\) 14.5778 + 6.49622i 0.620474 + 0.276497i
\(553\) 8.22883 0.349925
\(554\) −26.0791 16.7601i −1.10800 0.712066i
\(555\) −3.51247 24.4298i −0.149096 1.03699i
\(556\) 6.80646 + 14.9041i 0.288658 + 0.632073i
\(557\) −0.907330 0.266416i −0.0384448 0.0112884i 0.262454 0.964945i \(-0.415468\pi\)
−0.300898 + 0.953656i \(0.597287\pi\)
\(558\) −16.2380 + 35.5563i −0.687410 + 1.50522i
\(559\) −5.94083 + 6.85608i −0.251270 + 0.289981i
\(560\) 0.398581 2.77219i 0.0168431 0.117147i
\(561\) 19.3980 5.69577i 0.818985 0.240476i
\(562\) −8.92591 10.3010i −0.376517 0.434523i
\(563\) 27.1638 17.4571i 1.14482 0.735729i 0.176216 0.984352i \(-0.443614\pi\)
0.968600 + 0.248623i \(0.0799780\pi\)
\(564\) 13.1138 8.42770i 0.552189 0.354870i
\(565\) 7.82529 + 9.03087i 0.329213 + 0.379932i
\(566\) −21.0371 + 6.17704i −0.884254 + 0.259641i
\(567\) 4.55043 31.6489i 0.191100 1.32913i
\(568\) 4.84713 5.59389i 0.203381 0.234714i
\(569\) 8.01056 17.5407i 0.335820 0.735344i −0.664104 0.747640i \(-0.731187\pi\)
0.999924 + 0.0122962i \(0.00391410\pi\)
\(570\) 58.8148 + 17.2696i 2.46348 + 0.723344i
\(571\) 7.29393 + 15.9715i 0.305242 + 0.668386i 0.998638 0.0521703i \(-0.0166139\pi\)
−0.693397 + 0.720556i \(0.743887\pi\)
\(572\) −0.824337 5.73339i −0.0344672 0.239725i
\(573\) 22.8005 + 14.6530i 0.952504 + 0.612137i
\(574\) 10.7086 0.446967
\(575\) 7.47893 + 11.4056i 0.311893 + 0.475646i
\(576\) 8.07452 0.336438
\(577\) 11.0001 + 7.06933i 0.457940 + 0.294300i 0.749200 0.662344i \(-0.230438\pi\)
−0.291260 + 0.956644i \(0.594075\pi\)
\(578\) 1.52521 + 10.6081i 0.0634404 + 0.441238i
\(579\) 2.34966 + 5.14503i 0.0976484 + 0.213820i
\(580\) −15.0618 4.42254i −0.625407 0.183636i
\(581\) −7.02008 + 15.3718i −0.291242 + 0.637731i
\(582\) −18.6453 + 21.5178i −0.772872 + 0.891942i
\(583\) 4.88557 33.9799i 0.202340 1.40730i
\(584\) −2.49952 + 0.733926i −0.103431 + 0.0303701i
\(585\) −35.3925 40.8452i −1.46330 1.68874i
\(586\) 19.1902 12.3328i 0.792738 0.509462i
\(587\) −20.5676 + 13.2180i −0.848915 + 0.545565i −0.891236 0.453539i \(-0.850161\pi\)
0.0423210 + 0.999104i \(0.486525\pi\)
\(588\) −2.17927 2.51501i −0.0898717 0.103717i
\(589\) −30.5486 + 8.96989i −1.25873 + 0.369598i
\(590\) 4.80680 33.4320i 0.197893 1.37637i
\(591\) 8.27010 9.54420i 0.340186 0.392596i
\(592\) 1.10006 2.40879i 0.0452121 0.0990007i
\(593\) 9.89773 + 2.90624i 0.406451 + 0.119345i 0.478566 0.878052i \(-0.341157\pi\)
−0.0721151 + 0.997396i \(0.522975\pi\)
\(594\) 17.0026 + 37.2305i 0.697625 + 1.52759i
\(595\) −0.999068 6.94867i −0.0409578 0.284868i
\(596\) 3.84794 + 2.47292i 0.157618 + 0.101295i
\(597\) −73.0444 −2.98951
\(598\) 3.12788 11.0265i 0.127909 0.450906i
\(599\) 17.6636 0.721714 0.360857 0.932621i \(-0.382484\pi\)
0.360857 + 0.932621i \(0.382484\pi\)
\(600\) 7.96173 + 5.11670i 0.325036 + 0.208888i
\(601\) 0.164226 + 1.14222i 0.00669891 + 0.0465920i 0.992897 0.118979i \(-0.0379623\pi\)
−0.986198 + 0.165571i \(0.947053\pi\)
\(602\) −1.57689 3.45290i −0.0642692 0.140730i
\(603\) 32.3119 + 9.48763i 1.31584 + 0.386366i
\(604\) −5.37704 + 11.7741i −0.218788 + 0.479080i
\(605\) 9.40103 10.8494i 0.382206 0.441089i
\(606\) −2.42419 + 16.8606i −0.0984761 + 0.684916i
\(607\) 12.6775 3.72246i 0.514565 0.151090i −0.0141324 0.999900i \(-0.504499\pi\)
0.528698 + 0.848810i \(0.322680\pi\)
\(608\) 4.30690 + 4.97043i 0.174668 + 0.201577i
\(609\) −15.6913 + 10.0842i −0.635842 + 0.408631i
\(610\) −5.99613 + 3.85348i −0.242776 + 0.156023i
\(611\) −7.33104 8.46047i −0.296582 0.342274i
\(612\) 19.4194 5.70206i 0.784984 0.230492i
\(613\) −2.59518 + 18.0499i −0.104818 + 0.729028i 0.867850 + 0.496827i \(0.165502\pi\)
−0.972668 + 0.232201i \(0.925407\pi\)
\(614\) −4.51154 + 5.20660i −0.182071 + 0.210121i
\(615\) −41.4613 + 90.7876i −1.67188 + 3.66091i
\(616\) 2.32550 + 0.682830i 0.0936972 + 0.0275120i
\(617\) −15.0109 32.8692i −0.604315 1.32326i −0.926395 0.376553i \(-0.877109\pi\)
0.322080 0.946712i \(-0.395618\pi\)
\(618\) 4.55413 + 31.6746i 0.183194 + 1.27414i
\(619\) −15.8562 10.1901i −0.637312 0.409576i 0.181698 0.983354i \(-0.441841\pi\)
−0.819011 + 0.573779i \(0.805477\pi\)
\(620\) −13.5582 −0.544509
\(621\) 0.744336 + 80.9848i 0.0298692 + 3.24981i
\(622\) −0.355853 −0.0142684
\(623\) 2.98152 + 1.91610i 0.119452 + 0.0767671i
\(624\) −1.13186 7.87224i −0.0453106 0.315142i
\(625\) −12.9326 28.3184i −0.517303 1.13274i
\(626\) −3.67851 1.08011i −0.147023 0.0431698i
\(627\) −22.0362 + 48.2524i −0.880039 + 1.92702i
\(628\) 3.66305 4.22738i 0.146171 0.168691i
\(629\) 0.944630 6.57005i 0.0376649 0.261965i
\(630\) 21.6983 6.37119i 0.864480 0.253834i
\(631\) 4.45135 + 5.13713i 0.177205 + 0.204506i 0.837403 0.546586i \(-0.184073\pi\)
−0.660198 + 0.751092i \(0.729527\pi\)
\(632\) −6.92253 + 4.44884i −0.275363 + 0.176965i
\(633\) −11.2860 + 7.25305i −0.448577 + 0.288283i
\(634\) −15.2142 17.5581i −0.604231 0.697320i
\(635\) −48.1050 + 14.1249i −1.90899 + 0.560530i
\(636\) 6.70815 46.6562i 0.265995 1.85004i
\(637\) −1.56505 + 1.80616i −0.0620095 + 0.0715628i
\(638\) 5.64320 12.3569i 0.223417 0.489214i
\(639\) 57.3449 + 16.8380i 2.26853 + 0.666100i
\(640\) 1.16345 + 2.54761i 0.0459895 + 0.100703i
\(641\) 3.81176 + 26.5114i 0.150555 + 1.04714i 0.915291 + 0.402792i \(0.131960\pi\)
−0.764736 + 0.644344i \(0.777131\pi\)
\(642\) 9.69650 + 6.23156i 0.382690 + 0.245940i
\(643\) 15.6295 0.616367 0.308184 0.951327i \(-0.400279\pi\)
0.308184 + 0.951327i \(0.400279\pi\)
\(644\) 3.65316 + 3.10716i 0.143955 + 0.122439i
\(645\) 35.3792 1.39305
\(646\) 13.8682 + 8.91256i 0.545638 + 0.350660i
\(647\) 1.76065 + 12.2456i 0.0692184 + 0.481425i 0.994715 + 0.102670i \(0.0327386\pi\)
−0.925497 + 0.378755i \(0.876352\pi\)
\(648\) 13.2826 + 29.0849i 0.521791 + 1.14256i
\(649\) 28.0450 + 8.23477i 1.10086 + 0.323243i
\(650\) 2.82345 6.18249i 0.110745 0.242497i
\(651\) −10.5498 + 12.1752i −0.413481 + 0.477182i
\(652\) −0.846261 + 5.88587i −0.0331421 + 0.230509i
\(653\) −3.50121 + 1.02805i −0.137013 + 0.0402307i −0.349520 0.936929i \(-0.613655\pi\)
0.212507 + 0.977160i \(0.431837\pi\)
\(654\) 12.5247 + 14.4543i 0.489754 + 0.565206i
\(655\) 25.0293 16.0854i 0.977976 0.628507i
\(656\) −9.00862 + 5.78949i −0.351728 + 0.226042i
\(657\) −13.7747 15.8968i −0.537401 0.620194i
\(658\) 4.49448 1.31970i 0.175213 0.0514472i
\(659\) 1.66938 11.6108i 0.0650296 0.452291i −0.931127 0.364696i \(-0.881173\pi\)
0.996156 0.0875948i \(-0.0279181\pi\)
\(660\) −14.7929 + 17.0719i −0.575813 + 0.664524i
\(661\) −14.6495 + 32.0778i −0.569798 + 1.24768i 0.377107 + 0.926170i \(0.376919\pi\)
−0.946905 + 0.321513i \(0.895809\pi\)
\(662\) 21.9911 + 6.45717i 0.854709 + 0.250965i
\(663\) −8.28136 18.1337i −0.321622 0.704253i
\(664\) −2.40497 16.7269i −0.0933310 0.649131i
\(665\) 15.4956 + 9.95844i 0.600895 + 0.386172i
\(666\) 21.3821 0.828540
\(667\) 20.1520 17.7887i 0.780290 0.688783i
\(668\) 23.3414 0.903104
\(669\) 16.6604 + 10.7070i 0.644127 + 0.413955i
\(670\) 1.66234 + 11.5619i 0.0642219 + 0.446673i
\(671\) −2.56233 5.61071i −0.0989176 0.216599i
\(672\) 3.19304 + 0.937561i 0.123174 + 0.0361672i
\(673\) 7.64239 16.7345i 0.294593 0.645068i −0.703234 0.710958i \(-0.748262\pi\)
0.997827 + 0.0658904i \(0.0209888\pi\)
\(674\) −0.949424 + 1.09569i −0.0365705 + 0.0422046i
\(675\) −6.83481 + 47.5371i −0.263072 + 1.82970i
\(676\) 6.99316 2.05338i 0.268968 0.0789761i
\(677\) −13.5695 15.6601i −0.521519 0.601865i 0.432492 0.901638i \(-0.357635\pi\)
−0.954011 + 0.299773i \(0.903089\pi\)
\(678\) −11.9447 + 7.67638i −0.458733 + 0.294810i
\(679\) −7.19755 + 4.62558i −0.276217 + 0.177514i
\(680\) 4.59720 + 5.30545i 0.176295 + 0.203455i
\(681\) 41.2419 12.1097i 1.58039 0.464046i
\(682\) 1.66978 11.6136i 0.0639392 0.444707i
\(683\) −25.7905 + 29.7639i −0.986848 + 1.13888i 0.00346034 + 0.999994i \(0.498899\pi\)
−0.990308 + 0.138889i \(0.955647\pi\)
\(684\) −22.0605 + 48.3057i −0.843503 + 1.84701i
\(685\) 18.4260 + 5.41036i 0.704021 + 0.206719i
\(686\) −0.415415 0.909632i −0.0158606 0.0347299i
\(687\) −5.95667 41.4296i −0.227261 1.58064i
\(688\) 3.19334 + 2.05224i 0.121745 + 0.0782408i
\(689\) −33.8508 −1.28961
\(690\) −40.4868 + 18.9413i −1.54131 + 0.721084i
\(691\) 9.46095 0.359912 0.179956 0.983675i \(-0.442405\pi\)
0.179956 + 0.983675i \(0.442405\pi\)
\(692\) −1.98537 1.27592i −0.0754725 0.0485032i
\(693\) 2.78511 + 19.3709i 0.105798 + 0.735838i
\(694\) 13.7321 + 30.0692i 0.521265 + 1.14141i
\(695\) −44.0299 12.9283i −1.67015 0.490400i
\(696\) 7.74842 16.9667i 0.293703 0.643120i
\(697\) −17.5775 + 20.2856i −0.665797 + 0.768371i
\(698\) 0.507913 3.53261i 0.0192248 0.133711i
\(699\) 39.8473 11.7002i 1.50716 0.442543i
\(700\) 1.86237 + 2.14930i 0.0703912 + 0.0812357i
\(701\) 8.39684 5.39632i 0.317144 0.203816i −0.372377 0.928081i \(-0.621457\pi\)
0.689522 + 0.724265i \(0.257821\pi\)
\(702\) 33.9519 21.8196i 1.28143 0.823526i
\(703\) 11.4051 + 13.1622i 0.430151 + 0.496420i
\(704\) −2.32550 + 0.682830i −0.0876457 + 0.0257351i
\(705\) −6.21322 + 43.2139i −0.234004 + 1.62753i
\(706\) 23.7862 27.4508i 0.895206 1.03312i
\(707\) −2.12636 + 4.65608i −0.0799700 + 0.175110i
\(708\) 38.5073 + 11.3068i 1.44719 + 0.424934i
\(709\) −2.66252 5.83011i −0.0999931 0.218954i 0.853023 0.521873i \(-0.174766\pi\)
−0.953017 + 0.302918i \(0.902039\pi\)
\(710\) 2.95021 + 20.5191i 0.110719 + 0.770070i
\(711\) −55.8961 35.9223i −2.09627 1.34719i
\(712\) −3.54413 −0.132822
\(713\) 12.3718 19.6456i 0.463327 0.735732i
\(714\) 8.34143 0.312170
\(715\) 13.6473 + 8.77061i 0.510382 + 0.328002i
\(716\) 1.97706 + 13.7508i 0.0738864 + 0.513891i
\(717\) −1.10986 2.43025i −0.0414484 0.0907593i
\(718\) 4.70224 + 1.38070i 0.175486 + 0.0515274i
\(719\) −6.11427 + 13.3884i −0.228024 + 0.499302i −0.988714 0.149812i \(-0.952133\pi\)
0.760691 + 0.649114i \(0.224860\pi\)
\(720\) −14.8092 + 17.0908i −0.551908 + 0.636935i
\(721\) −1.36849 + 9.51808i −0.0509653 + 0.354472i
\(722\) −23.2720 + 6.83329i −0.866096 + 0.254309i
\(723\) −30.9446 35.7120i −1.15084 1.32814i
\(724\) 3.94261 2.53376i 0.146526 0.0941664i
\(725\) 13.4095 8.61778i 0.498017 0.320056i
\(726\) 11.1705 + 12.8914i 0.414575 + 0.478445i
\(727\) −5.09809 + 1.49693i −0.189078 + 0.0555182i −0.374901 0.927065i \(-0.622323\pi\)
0.185823 + 0.982583i \(0.440505\pi\)
\(728\) 0.340118 2.36557i 0.0126056 0.0876739i
\(729\) −58.6650 + 67.7030i −2.17278 + 2.50752i
\(730\) 3.03085 6.63663i 0.112177 0.245633i
\(731\) 9.12932 + 2.68061i 0.337660 + 0.0991460i
\(732\) −3.51821 7.70381i −0.130037 0.284741i
\(733\) −6.22433 43.2912i −0.229901 1.59900i −0.698516 0.715594i \(-0.746156\pi\)
0.468615 0.883402i \(-0.344753\pi\)
\(734\) −5.33127 3.42620i −0.196781 0.126463i
\(735\) 9.32029 0.343784
\(736\) −4.75309 0.638861i −0.175201 0.0235487i
\(737\) −10.1083 −0.372345
\(738\) −72.7403 46.7474i −2.67761 1.72079i
\(739\) −4.33325 30.1384i −0.159401 1.10866i −0.899740 0.436425i \(-0.856244\pi\)
0.740339 0.672233i \(-0.234665\pi\)
\(740\) 3.08093 + 6.74631i 0.113257 + 0.247999i
\(741\) 50.1879 + 14.7365i 1.84370 + 0.541359i
\(742\) 5.88399 12.8841i 0.216008 0.472992i
\(743\) 8.93234 10.3085i 0.327696 0.378181i −0.567864 0.823123i \(-0.692230\pi\)
0.895560 + 0.444941i \(0.146775\pi\)
\(744\) 2.29270 15.9461i 0.0840544 0.584611i
\(745\) −12.2917 + 3.60916i −0.450331 + 0.132229i
\(746\) −3.38786 3.90980i −0.124038 0.143148i
\(747\) 114.790 73.7709i 4.19994 2.69914i
\(748\) −5.11070 + 3.28445i −0.186866 + 0.120091i
\(749\) 2.26816 + 2.61760i 0.0828769 + 0.0956451i
\(750\) 19.2812 5.66148i 0.704051 0.206728i
\(751\) −3.54246 + 24.6384i −0.129266 + 0.899067i 0.817221 + 0.576325i \(0.195514\pi\)
−0.946487 + 0.322742i \(0.895395\pi\)
\(752\) −3.06751 + 3.54010i −0.111861 + 0.129094i
\(753\) 34.9583 76.5481i 1.27395 2.78957i
\(754\) −12.8525 3.77385i −0.468062 0.137435i
\(755\) −15.0595 32.9756i −0.548070 1.20011i
\(756\) 2.40330 + 16.7153i 0.0874072 + 0.607930i
\(757\) 15.6588 + 10.0633i 0.569130 + 0.365758i 0.793336 0.608784i \(-0.208342\pi\)
−0.224206 + 0.974542i \(0.571979\pi\)
\(758\) −9.25137 −0.336025
\(759\) −11.2384 37.0128i −0.407930 1.34348i
\(760\) −18.4197 −0.668153
\(761\) −13.9980 8.99597i −0.507427 0.326104i 0.261754 0.965135i \(-0.415699\pi\)
−0.769181 + 0.639031i \(0.779336\pi\)
\(762\) −8.47802 58.9659i −0.307126 2.13611i
\(763\) 2.38747 + 5.22783i 0.0864322 + 0.189260i
\(764\) −7.81441 2.29452i −0.282716 0.0830128i
\(765\) −23.5474 + 51.5617i −0.851360 + 1.86422i
\(766\) −20.2266 + 23.3427i −0.730816 + 0.843406i
\(767\) 4.10174 28.5282i 0.148105 1.03010i
\(768\) −3.19304 + 0.937561i −0.115219 + 0.0338313i
\(769\) 18.2848 + 21.1018i 0.659367 + 0.760950i 0.982674 0.185344i \(-0.0593400\pi\)
−0.323307 + 0.946294i \(0.604795\pi\)
\(770\) −5.71043 + 3.66987i −0.205790 + 0.132253i
\(771\) 43.5674 27.9991i 1.56904 1.00836i
\(772\) −1.11303 1.28451i −0.0400590 0.0462305i
\(773\) 7.34432 2.15649i 0.264157 0.0775634i −0.146972 0.989141i \(-0.546953\pi\)
0.411129 + 0.911577i \(0.365135\pi\)
\(774\) −4.36200 + 3