Properties

Label 273.2.bh.a.131.9
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.9
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15260 - 0.665454i) q^{2} +(-0.732991 + 1.56931i) q^{3} +(-0.114341 - 0.198044i) q^{4} +(-0.0955042 + 0.165418i) q^{5} +(1.88915 - 1.32101i) q^{6} +(2.46727 - 0.955290i) q^{7} +2.96617i q^{8} +(-1.92545 - 2.30058i) q^{9} +O(q^{10})\) \(q+(-1.15260 - 0.665454i) q^{2} +(-0.732991 + 1.56931i) q^{3} +(-0.114341 - 0.198044i) q^{4} +(-0.0955042 + 0.165418i) q^{5} +(1.88915 - 1.32101i) q^{6} +(2.46727 - 0.955290i) q^{7} +2.96617i q^{8} +(-1.92545 - 2.30058i) q^{9} +(0.220156 - 0.127107i) q^{10} +(-2.17942 + 1.25829i) q^{11} +(0.394602 - 0.0342713i) q^{12} +1.00000i q^{13} +(-3.47948 - 0.540787i) q^{14} +(-0.189588 - 0.271125i) q^{15} +(1.74517 - 3.02272i) q^{16} +(3.30158 + 5.71850i) q^{17} +(0.688346 + 3.93294i) q^{18} +(5.52593 + 3.19039i) q^{19} +0.0436801 q^{20} +(-0.309342 + 4.57212i) q^{21} +3.34934 q^{22} +(0.428618 + 0.247463i) q^{23} +(-4.65483 - 2.17418i) q^{24} +(2.48176 + 4.29853i) q^{25} +(0.665454 - 1.15260i) q^{26} +(5.02165 - 1.33532i) q^{27} +(-0.471299 - 0.379399i) q^{28} +3.66565i q^{29} +(0.0380979 + 0.438662i) q^{30} +(-7.59527 + 4.38513i) q^{31} +(1.11459 - 0.643508i) q^{32} +(-0.377147 - 4.34250i) q^{33} -8.78820i q^{34} +(-0.0776123 + 0.499365i) q^{35} +(-0.235458 + 0.644373i) q^{36} +(0.433184 - 0.750296i) q^{37} +(-4.24612 - 7.35450i) q^{38} +(-1.56931 - 0.732991i) q^{39} +(-0.490659 - 0.283282i) q^{40} +3.55741 q^{41} +(3.39909 - 5.06398i) q^{42} -2.13560 q^{43} +(0.498394 + 0.287748i) q^{44} +(0.564445 - 0.0987896i) q^{45} +(-0.329351 - 0.570452i) q^{46} +(4.61080 - 7.98614i) q^{47} +(3.46439 + 4.95434i) q^{48} +(5.17484 - 4.71392i) q^{49} -6.60599i q^{50} +(-11.3941 + 0.989581i) q^{51} +(0.198044 - 0.114341i) q^{52} +(-5.02935 + 2.90370i) q^{53} +(-6.67655 - 1.80258i) q^{54} -0.480688i q^{55} +(2.83356 + 7.31835i) q^{56} +(-9.05716 + 6.33334i) q^{57} +(2.43932 - 4.22503i) q^{58} +(-5.58681 - 9.67665i) q^{59} +(-0.0320171 + 0.0685475i) q^{60} +(1.06610 + 0.615513i) q^{61} +11.6724 q^{62} +(-6.94832 - 3.83678i) q^{63} -8.69359 q^{64} +(-0.165418 - 0.0955042i) q^{65} +(-2.45504 + 5.25614i) q^{66} +(2.38054 + 4.12321i) q^{67} +(0.755009 - 1.30771i) q^{68} +(-0.702519 + 0.491246i) q^{69} +(0.421761 - 0.523922i) q^{70} -5.29316i q^{71} +(6.82390 - 5.71121i) q^{72} +(6.07426 - 3.50698i) q^{73} +(-0.998576 + 0.576528i) q^{74} +(-8.56482 + 0.743857i) q^{75} -1.45917i q^{76} +(-4.17519 + 5.18653i) q^{77} +(1.32101 + 1.88915i) q^{78} +(-5.62114 + 9.73610i) q^{79} +(0.333342 + 0.577366i) q^{80} +(-1.58529 + 8.85928i) q^{81} +(-4.10028 - 2.36730i) q^{82} -10.2566 q^{83} +(0.940852 - 0.461517i) q^{84} -1.26126 q^{85} +(2.46150 + 1.42115i) q^{86} +(-5.75253 - 2.68689i) q^{87} +(-3.73231 - 6.46455i) q^{88} +(3.24190 - 5.61513i) q^{89} +(-0.716320 - 0.261748i) q^{90} +(0.955290 + 2.46727i) q^{91} -0.113180i q^{92} +(-1.31435 - 15.1336i) q^{93} +(-10.6288 + 6.13656i) q^{94} +(-1.05550 + 0.609392i) q^{95} +(0.192879 + 2.22082i) q^{96} -16.0239i q^{97} +(-9.10142 + 1.98965i) q^{98} +(7.09116 + 2.59115i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15260 0.665454i −0.815012 0.470547i 0.0336814 0.999433i \(-0.489277\pi\)
−0.848693 + 0.528885i \(0.822610\pi\)
\(3\) −0.732991 + 1.56931i −0.423192 + 0.906040i
\(4\) −0.114341 0.198044i −0.0571704 0.0990220i
\(5\) −0.0955042 + 0.165418i −0.0427108 + 0.0739772i −0.886591 0.462555i \(-0.846933\pi\)
0.843880 + 0.536532i \(0.180266\pi\)
\(6\) 1.88915 1.32101i 0.771242 0.539301i
\(7\) 2.46727 0.955290i 0.932540 0.361066i
\(8\) 2.96617i 1.04870i
\(9\) −1.92545 2.30058i −0.641816 0.766858i
\(10\) 0.220156 0.127107i 0.0696196 0.0401949i
\(11\) −2.17942 + 1.25829i −0.657121 + 0.379389i −0.791179 0.611584i \(-0.790532\pi\)
0.134058 + 0.990973i \(0.457199\pi\)
\(12\) 0.394602 0.0342713i 0.113912 0.00989328i
\(13\) 1.00000i 0.277350i
\(14\) −3.47948 0.540787i −0.929930 0.144531i
\(15\) −0.189588 0.271125i −0.0489515 0.0700043i
\(16\) 1.74517 3.02272i 0.436293 0.755681i
\(17\) 3.30158 + 5.71850i 0.800750 + 1.38694i 0.919123 + 0.393971i \(0.128899\pi\)
−0.118373 + 0.992969i \(0.537768\pi\)
\(18\) 0.688346 + 3.93294i 0.162245 + 0.927004i
\(19\) 5.52593 + 3.19039i 1.26773 + 0.731927i 0.974559 0.224132i \(-0.0719547\pi\)
0.293175 + 0.956059i \(0.405288\pi\)
\(20\) 0.0436801 0.00976716
\(21\) −0.309342 + 4.57212i −0.0675040 + 0.997719i
\(22\) 3.34934 0.714082
\(23\) 0.428618 + 0.247463i 0.0893731 + 0.0515996i 0.544020 0.839072i \(-0.316901\pi\)
−0.454647 + 0.890672i \(0.650235\pi\)
\(24\) −4.65483 2.17418i −0.950164 0.443802i
\(25\) 2.48176 + 4.29853i 0.496352 + 0.859706i
\(26\) 0.665454 1.15260i 0.130506 0.226044i
\(27\) 5.02165 1.33532i 0.966416 0.256983i
\(28\) −0.471299 0.379399i −0.0890671 0.0716997i
\(29\) 3.66565i 0.680694i 0.940300 + 0.340347i \(0.110545\pi\)
−0.940300 + 0.340347i \(0.889455\pi\)
\(30\) 0.0380979 + 0.438662i 0.00695569 + 0.0800883i
\(31\) −7.59527 + 4.38513i −1.36415 + 0.787593i −0.990173 0.139845i \(-0.955340\pi\)
−0.373978 + 0.927438i \(0.622006\pi\)
\(32\) 1.11459 0.643508i 0.197033 0.113757i
\(33\) −0.377147 4.34250i −0.0656529 0.755932i
\(34\) 8.78820i 1.50716i
\(35\) −0.0776123 + 0.499365i −0.0131189 + 0.0844082i
\(36\) −0.235458 + 0.644373i −0.0392430 + 0.107395i
\(37\) 0.433184 0.750296i 0.0712150 0.123348i −0.828219 0.560404i \(-0.810646\pi\)
0.899434 + 0.437057i \(0.143979\pi\)
\(38\) −4.24612 7.35450i −0.688812 1.19306i
\(39\) −1.56931 0.732991i −0.251290 0.117372i
\(40\) −0.490659 0.283282i −0.0775800 0.0447908i
\(41\) 3.55741 0.555575 0.277787 0.960643i \(-0.410399\pi\)
0.277787 + 0.960643i \(0.410399\pi\)
\(42\) 3.39909 5.06398i 0.524491 0.781389i
\(43\) −2.13560 −0.325676 −0.162838 0.986653i \(-0.552065\pi\)
−0.162838 + 0.986653i \(0.552065\pi\)
\(44\) 0.498394 + 0.287748i 0.0751357 + 0.0433796i
\(45\) 0.564445 0.0987896i 0.0841426 0.0147267i
\(46\) −0.329351 0.570452i −0.0485601 0.0841086i
\(47\) 4.61080 7.98614i 0.672554 1.16490i −0.304623 0.952473i \(-0.598530\pi\)
0.977177 0.212425i \(-0.0681362\pi\)
\(48\) 3.46439 + 4.95434i 0.500041 + 0.715097i
\(49\) 5.17484 4.71392i 0.739263 0.673417i
\(50\) 6.60599i 0.934228i
\(51\) −11.3941 + 0.989581i −1.59549 + 0.138569i
\(52\) 0.198044 0.114341i 0.0274638 0.0158562i
\(53\) −5.02935 + 2.90370i −0.690835 + 0.398854i −0.803925 0.594731i \(-0.797258\pi\)
0.113090 + 0.993585i \(0.463925\pi\)
\(54\) −6.67655 1.80258i −0.908563 0.245301i
\(55\) 0.480688i 0.0648160i
\(56\) 2.83356 + 7.31835i 0.378650 + 0.977955i
\(57\) −9.05716 + 6.33334i −1.19965 + 0.838872i
\(58\) 2.43932 4.22503i 0.320299 0.554774i
\(59\) −5.58681 9.67665i −0.727341 1.25979i −0.958003 0.286758i \(-0.907422\pi\)
0.230662 0.973034i \(-0.425911\pi\)
\(60\) −0.0320171 + 0.0685475i −0.00413339 + 0.00884944i
\(61\) 1.06610 + 0.615513i 0.136500 + 0.0788084i 0.566695 0.823928i \(-0.308222\pi\)
−0.430195 + 0.902736i \(0.641555\pi\)
\(62\) 11.6724 1.48240
\(63\) −6.94832 3.83678i −0.875406 0.483388i
\(64\) −8.69359 −1.08670
\(65\) −0.165418 0.0955042i −0.0205176 0.0118458i
\(66\) −2.45504 + 5.25614i −0.302194 + 0.646987i
\(67\) 2.38054 + 4.12321i 0.290829 + 0.503730i 0.974006 0.226522i \(-0.0727356\pi\)
−0.683177 + 0.730253i \(0.739402\pi\)
\(68\) 0.755009 1.30771i 0.0915583 0.158584i
\(69\) −0.702519 + 0.491246i −0.0845733 + 0.0591390i
\(70\) 0.421761 0.523922i 0.0504101 0.0626206i
\(71\) 5.29316i 0.628182i −0.949393 0.314091i \(-0.898300\pi\)
0.949393 0.314091i \(-0.101700\pi\)
\(72\) 6.82390 5.71121i 0.804205 0.673073i
\(73\) 6.07426 3.50698i 0.710938 0.410460i −0.100470 0.994940i \(-0.532035\pi\)
0.811408 + 0.584480i \(0.198701\pi\)
\(74\) −0.998576 + 0.576528i −0.116082 + 0.0670201i
\(75\) −8.56482 + 0.743857i −0.988980 + 0.0858932i
\(76\) 1.45917i 0.167378i
\(77\) −4.17519 + 5.18653i −0.475807 + 0.591059i
\(78\) 1.32101 + 1.88915i 0.149575 + 0.213904i
\(79\) −5.62114 + 9.73610i −0.632428 + 1.09540i 0.354626 + 0.935008i \(0.384608\pi\)
−0.987054 + 0.160389i \(0.948725\pi\)
\(80\) 0.333342 + 0.577366i 0.0372688 + 0.0645515i
\(81\) −1.58529 + 8.85928i −0.176144 + 0.984364i
\(82\) −4.10028 2.36730i −0.452800 0.261424i
\(83\) −10.2566 −1.12581 −0.562904 0.826522i \(-0.690316\pi\)
−0.562904 + 0.826522i \(0.690316\pi\)
\(84\) 0.940852 0.461517i 0.102655 0.0503556i
\(85\) −1.26126 −0.136803
\(86\) 2.46150 + 1.42115i 0.265430 + 0.153246i
\(87\) −5.75253 2.68689i −0.616736 0.288065i
\(88\) −3.73231 6.46455i −0.397865 0.689123i
\(89\) 3.24190 5.61513i 0.343640 0.595203i −0.641465 0.767152i \(-0.721673\pi\)
0.985106 + 0.171949i \(0.0550065\pi\)
\(90\) −0.716320 0.261748i −0.0755068 0.0275906i
\(91\) 0.955290 + 2.46727i 0.100142 + 0.258640i
\(92\) 0.113180i 0.0117999i
\(93\) −1.31435 15.1336i −0.136292 1.56928i
\(94\) −10.6288 + 6.13656i −1.09628 + 0.632937i
\(95\) −1.05550 + 0.609392i −0.108292 + 0.0625223i
\(96\) 0.192879 + 2.22082i 0.0196856 + 0.226661i
\(97\) 16.0239i 1.62698i −0.581576 0.813492i \(-0.697564\pi\)
0.581576 0.813492i \(-0.302436\pi\)
\(98\) −9.10142 + 1.98965i −0.919383 + 0.200985i
\(99\) 7.09116 + 2.59115i 0.712689 + 0.260421i
\(100\) 0.567532 0.982994i 0.0567532 0.0982994i
\(101\) 8.89291 + 15.4030i 0.884878 + 1.53265i 0.845853 + 0.533415i \(0.179092\pi\)
0.0390245 + 0.999238i \(0.487575\pi\)
\(102\) 13.7914 + 6.44167i 1.36555 + 0.637820i
\(103\) 4.33872 + 2.50496i 0.427507 + 0.246821i 0.698284 0.715821i \(-0.253947\pi\)
−0.270777 + 0.962642i \(0.587281\pi\)
\(104\) −2.96617 −0.290857
\(105\) −0.726769 0.487828i −0.0709254 0.0476071i
\(106\) 7.72911 0.750718
\(107\) 5.04072 + 2.91026i 0.487305 + 0.281346i 0.723456 0.690371i \(-0.242553\pi\)
−0.236151 + 0.971716i \(0.575886\pi\)
\(108\) −0.838631 0.841825i −0.0806973 0.0810046i
\(109\) 7.73973 + 13.4056i 0.741331 + 1.28402i 0.951889 + 0.306442i \(0.0991387\pi\)
−0.210558 + 0.977581i \(0.567528\pi\)
\(110\) −0.319876 + 0.554042i −0.0304990 + 0.0528258i
\(111\) 0.859926 + 1.22976i 0.0816205 + 0.116724i
\(112\) 1.41823 9.12502i 0.134010 0.862234i
\(113\) 18.6070i 1.75040i −0.483760 0.875201i \(-0.660729\pi\)
0.483760 0.875201i \(-0.339271\pi\)
\(114\) 14.6538 1.27269i 1.37246 0.119198i
\(115\) −0.0818697 + 0.0472675i −0.00763439 + 0.00440772i
\(116\) 0.725960 0.419133i 0.0674037 0.0389155i
\(117\) 2.30058 1.92545i 0.212688 0.178008i
\(118\) 14.8711i 1.36899i
\(119\) 13.6087 + 10.9551i 1.24751 + 1.00425i
\(120\) 0.804205 0.562351i 0.0734135 0.0513354i
\(121\) −2.33341 + 4.04158i −0.212128 + 0.367417i
\(122\) −0.819192 1.41888i −0.0741662 0.128460i
\(123\) −2.60755 + 5.58267i −0.235115 + 0.503373i
\(124\) 1.73690 + 1.00280i 0.155978 + 0.0900540i
\(125\) −1.90312 −0.170220
\(126\) 5.45544 + 9.04606i 0.486009 + 0.805887i
\(127\) −12.0626 −1.07038 −0.535191 0.844731i \(-0.679760\pi\)
−0.535191 + 0.844731i \(0.679760\pi\)
\(128\) 7.79106 + 4.49817i 0.688639 + 0.397586i
\(129\) 1.56538 3.35142i 0.137824 0.295076i
\(130\) 0.127107 + 0.220156i 0.0111481 + 0.0193090i
\(131\) 3.07185 5.32061i 0.268389 0.464864i −0.700057 0.714087i \(-0.746842\pi\)
0.968446 + 0.249223i \(0.0801754\pi\)
\(132\) −0.816883 + 0.571216i −0.0711005 + 0.0497180i
\(133\) 16.6817 + 2.59270i 1.44649 + 0.224816i
\(134\) 6.33655i 0.547395i
\(135\) −0.258702 + 0.958200i −0.0222655 + 0.0824687i
\(136\) −16.9621 + 9.79305i −1.45448 + 0.839747i
\(137\) 11.6042 6.69968i 0.991413 0.572392i 0.0857165 0.996320i \(-0.472682\pi\)
0.905696 + 0.423927i \(0.139349\pi\)
\(138\) 1.13663 0.0987162i 0.0967560 0.00840328i
\(139\) 2.97193i 0.252076i −0.992025 0.126038i \(-0.959774\pi\)
0.992025 0.126038i \(-0.0402261\pi\)
\(140\) 0.107771 0.0417272i 0.00910827 0.00352659i
\(141\) 9.15303 + 13.0895i 0.770824 + 1.10234i
\(142\) −3.52235 + 6.10090i −0.295589 + 0.511976i
\(143\) −1.25829 2.17942i −0.105224 0.182253i
\(144\) −10.3142 + 1.80521i −0.859520 + 0.150434i
\(145\) −0.606365 0.350085i −0.0503559 0.0290730i
\(146\) −9.33493 −0.772564
\(147\) 3.60447 + 11.5762i 0.297292 + 0.954787i
\(148\) −0.198122 −0.0162855
\(149\) 0.996078 + 0.575086i 0.0816019 + 0.0471129i 0.540246 0.841507i \(-0.318331\pi\)
−0.458644 + 0.888620i \(0.651665\pi\)
\(150\) 10.3668 + 4.84213i 0.846448 + 0.395358i
\(151\) −7.56130 13.0966i −0.615330 1.06578i −0.990326 0.138757i \(-0.955689\pi\)
0.374996 0.927026i \(-0.377644\pi\)
\(152\) −9.46326 + 16.3908i −0.767572 + 1.32947i
\(153\) 6.79882 18.6062i 0.549652 1.50422i
\(154\) 8.26373 3.19959i 0.665910 0.257831i
\(155\) 1.67519i 0.134555i
\(156\) 0.0342713 + 0.394602i 0.00274390 + 0.0315935i
\(157\) 8.08391 4.66725i 0.645166 0.372487i −0.141436 0.989947i \(-0.545172\pi\)
0.786602 + 0.617461i \(0.211839\pi\)
\(158\) 12.9579 7.48123i 1.03087 0.595175i
\(159\) −0.870325 10.0210i −0.0690212 0.794716i
\(160\) 0.245831i 0.0194347i
\(161\) 1.29392 + 0.201103i 0.101975 + 0.0158491i
\(162\) 7.72266 9.15628i 0.606749 0.719385i
\(163\) −0.357336 + 0.618924i −0.0279887 + 0.0484779i −0.879680 0.475565i \(-0.842244\pi\)
0.851692 + 0.524043i \(0.175577\pi\)
\(164\) −0.406757 0.704524i −0.0317624 0.0550141i
\(165\) 0.754348 + 0.352340i 0.0587259 + 0.0274296i
\(166\) 11.8218 + 6.82530i 0.917547 + 0.529746i
\(167\) −12.7431 −0.986090 −0.493045 0.870004i \(-0.664116\pi\)
−0.493045 + 0.870004i \(0.664116\pi\)
\(168\) −13.5617 0.917562i −1.04631 0.0707914i
\(169\) −1.00000 −0.0769231
\(170\) 1.45373 + 0.839310i 0.111496 + 0.0643721i
\(171\) −3.30015 18.8557i −0.252368 1.44194i
\(172\) 0.244186 + 0.422943i 0.0186190 + 0.0322491i
\(173\) −2.31696 + 4.01309i −0.176155 + 0.305109i −0.940560 0.339626i \(-0.889699\pi\)
0.764405 + 0.644736i \(0.223033\pi\)
\(174\) 4.84237 + 6.92496i 0.367099 + 0.524980i
\(175\) 10.2295 + 8.23484i 0.773278 + 0.622495i
\(176\) 8.78373i 0.662099i
\(177\) 19.2807 1.67453i 1.44923 0.125866i
\(178\) −7.47323 + 4.31467i −0.560142 + 0.323398i
\(179\) −12.9064 + 7.45154i −0.964673 + 0.556954i −0.897608 0.440794i \(-0.854697\pi\)
−0.0670648 + 0.997749i \(0.521363\pi\)
\(180\) −0.0841038 0.100489i −0.00626873 0.00749003i
\(181\) 14.2820i 1.06157i 0.847507 + 0.530785i \(0.178103\pi\)
−0.847507 + 0.530785i \(0.821897\pi\)
\(182\) 0.540787 3.47948i 0.0400858 0.257916i
\(183\) −1.74737 + 1.22187i −0.129169 + 0.0903235i
\(184\) −0.734018 + 1.27136i −0.0541125 + 0.0937256i
\(185\) 0.0827418 + 0.143313i 0.00608330 + 0.0105366i
\(186\) −8.55578 + 18.3176i −0.627340 + 1.34311i
\(187\) −14.3911 8.30869i −1.05238 0.607591i
\(188\) −2.10881 −0.153801
\(189\) 11.1141 8.09173i 0.808434 0.588586i
\(190\) 1.62209 0.117679
\(191\) −7.69788 4.44437i −0.556999 0.321583i 0.194941 0.980815i \(-0.437548\pi\)
−0.751940 + 0.659232i \(0.770882\pi\)
\(192\) 6.37232 13.6429i 0.459882 0.984592i
\(193\) −10.0910 17.4781i −0.726364 1.25810i −0.958410 0.285395i \(-0.907875\pi\)
0.232046 0.972705i \(-0.425458\pi\)
\(194\) −10.6632 + 18.4692i −0.765573 + 1.32601i
\(195\) 0.271125 0.189588i 0.0194157 0.0135767i
\(196\) −1.52526 0.485853i −0.108947 0.0347038i
\(197\) 15.8563i 1.12972i 0.825188 + 0.564858i \(0.191069\pi\)
−0.825188 + 0.564858i \(0.808931\pi\)
\(198\) −6.44899 7.70541i −0.458309 0.547600i
\(199\) 2.51039 1.44937i 0.177957 0.102743i −0.408376 0.912814i \(-0.633905\pi\)
0.586332 + 0.810071i \(0.300571\pi\)
\(200\) −12.7502 + 7.36132i −0.901574 + 0.520524i
\(201\) −8.21549 + 0.713518i −0.579476 + 0.0503277i
\(202\) 23.6713i 1.66551i
\(203\) 3.50176 + 9.04415i 0.245775 + 0.634775i
\(204\) 1.49879 + 2.14338i 0.104936 + 0.150067i
\(205\) −0.339748 + 0.588461i −0.0237290 + 0.0410999i
\(206\) −3.33388 5.77444i −0.232282 0.402324i
\(207\) −0.255976 1.46255i −0.0177915 0.101654i
\(208\) 3.02272 + 1.74517i 0.209588 + 0.121006i
\(209\) −16.0578 −1.11074
\(210\) 0.513047 + 1.04590i 0.0354036 + 0.0721741i
\(211\) −4.15357 −0.285943 −0.142972 0.989727i \(-0.545666\pi\)
−0.142972 + 0.989727i \(0.545666\pi\)
\(212\) 1.15012 + 0.664022i 0.0789905 + 0.0456052i
\(213\) 8.30659 + 3.87983i 0.569158 + 0.265842i
\(214\) −3.87329 6.70874i −0.264773 0.458600i
\(215\) 0.203959 0.353268i 0.0139099 0.0240926i
\(216\) 3.96079 + 14.8951i 0.269498 + 1.01348i
\(217\) −14.5505 + 18.0750i −0.987753 + 1.22701i
\(218\) 20.6017i 1.39533i
\(219\) 1.05115 + 12.1030i 0.0710298 + 0.817842i
\(220\) −0.0951974 + 0.0549623i −0.00641821 + 0.00370555i
\(221\) −5.71850 + 3.30158i −0.384668 + 0.222088i
\(222\) −0.172803 1.98966i −0.0115978 0.133537i
\(223\) 1.82370i 0.122124i 0.998134 + 0.0610620i \(0.0194487\pi\)
−0.998134 + 0.0610620i \(0.980551\pi\)
\(224\) 2.13526 2.65247i 0.142668 0.177225i
\(225\) 5.11059 13.9861i 0.340706 0.932405i
\(226\) −12.3821 + 21.4465i −0.823647 + 1.42660i
\(227\) 4.75273 + 8.23196i 0.315450 + 0.546375i 0.979533 0.201284i \(-0.0645114\pi\)
−0.664083 + 0.747658i \(0.731178\pi\)
\(228\) 2.28988 + 1.06956i 0.151651 + 0.0708331i
\(229\) −7.16847 4.13872i −0.473706 0.273494i 0.244084 0.969754i \(-0.421513\pi\)
−0.717790 + 0.696260i \(0.754846\pi\)
\(230\) 0.125817 0.00829616
\(231\) −5.07887 10.3538i −0.334165 0.681232i
\(232\) −10.8729 −0.713844
\(233\) 22.7537 + 13.1368i 1.49064 + 0.860623i 0.999943 0.0107054i \(-0.00340771\pi\)
0.490700 + 0.871328i \(0.336741\pi\)
\(234\) −3.93294 + 0.688346i −0.257105 + 0.0449986i
\(235\) 0.880702 + 1.52542i 0.0574507 + 0.0995074i
\(236\) −1.27760 + 2.21287i −0.0831647 + 0.144046i
\(237\) −11.1587 15.9578i −0.724835 1.03657i
\(238\) −8.39528 21.6829i −0.544185 1.40549i
\(239\) 19.4680i 1.25928i −0.776887 0.629640i \(-0.783203\pi\)
0.776887 0.629640i \(-0.216797\pi\)
\(240\) −1.15040 + 0.0999126i −0.0742581 + 0.00644933i
\(241\) 3.58162 2.06785i 0.230712 0.133202i −0.380188 0.924909i \(-0.624141\pi\)
0.610901 + 0.791707i \(0.290807\pi\)
\(242\) 5.37898 3.10555i 0.345774 0.199633i
\(243\) −12.7409 8.98158i −0.817331 0.576169i
\(244\) 0.281513i 0.0180220i
\(245\) 0.285549 + 1.30621i 0.0182430 + 0.0834508i
\(246\) 6.72048 4.69939i 0.428482 0.299622i
\(247\) −3.19039 + 5.52593i −0.203000 + 0.351606i
\(248\) −13.0071 22.5289i −0.825949 1.43059i
\(249\) 7.51799 16.0957i 0.476433 1.02003i
\(250\) 2.19353 + 1.26644i 0.138731 + 0.0800965i
\(251\) −0.856009 −0.0540308 −0.0270154 0.999635i \(-0.508600\pi\)
−0.0270154 + 0.999635i \(0.508600\pi\)
\(252\) 0.0346256 + 1.81477i 0.00218121 + 0.114320i
\(253\) −1.24552 −0.0783053
\(254\) 13.9033 + 8.02710i 0.872373 + 0.503665i
\(255\) 0.924491 1.97930i 0.0578938 0.123949i
\(256\) 2.70693 + 4.68855i 0.169183 + 0.293034i
\(257\) 6.57009 11.3797i 0.409831 0.709848i −0.585040 0.811005i \(-0.698921\pi\)
0.994870 + 0.101157i \(0.0322544\pi\)
\(258\) −4.03447 + 2.82116i −0.251175 + 0.175638i
\(259\) 0.352030 2.26500i 0.0218741 0.140740i
\(260\) 0.0436801i 0.00270892i
\(261\) 8.43310 7.05802i 0.521996 0.436881i
\(262\) −7.08124 + 4.08836i −0.437481 + 0.252580i
\(263\) 12.3378 7.12324i 0.760782 0.439238i −0.0687945 0.997631i \(-0.521915\pi\)
0.829576 + 0.558393i \(0.188582\pi\)
\(264\) 12.8806 1.11868i 0.792746 0.0688502i
\(265\) 1.10926i 0.0681414i
\(266\) −17.5020 14.0893i −1.07312 0.863868i
\(267\) 6.43558 + 9.20337i 0.393851 + 0.563237i
\(268\) 0.544385 0.942902i 0.0332536 0.0575969i
\(269\) −4.21180 7.29505i −0.256798 0.444787i 0.708584 0.705626i \(-0.249334\pi\)
−0.965382 + 0.260839i \(0.916001\pi\)
\(270\) 0.935819 0.932268i 0.0569521 0.0567360i
\(271\) 2.77942 + 1.60470i 0.168838 + 0.0974785i 0.582038 0.813162i \(-0.302256\pi\)
−0.413200 + 0.910640i \(0.635589\pi\)
\(272\) 23.0473 1.39745
\(273\) −4.57212 0.309342i −0.276717 0.0187222i
\(274\) −17.8333 −1.07735
\(275\) −10.8176 6.24555i −0.652326 0.376621i
\(276\) 0.177615 + 0.0829602i 0.0106912 + 0.00499362i
\(277\) −10.2491 17.7520i −0.615811 1.06662i −0.990242 0.139361i \(-0.955495\pi\)
0.374431 0.927255i \(-0.377838\pi\)
\(278\) −1.97768 + 3.42545i −0.118614 + 0.205445i
\(279\) 24.7126 + 9.03014i 1.47951 + 0.540621i
\(280\) −1.48120 0.230211i −0.0885189 0.0137578i
\(281\) 1.09912i 0.0655680i −0.999462 0.0327840i \(-0.989563\pi\)
0.999462 0.0327840i \(-0.0104373\pi\)
\(282\) −1.83931 21.1779i −0.109529 1.26113i
\(283\) 17.5809 10.1504i 1.04508 0.603376i 0.123810 0.992306i \(-0.460489\pi\)
0.921267 + 0.388930i \(0.127155\pi\)
\(284\) −1.04828 + 0.605223i −0.0622038 + 0.0359134i
\(285\) −0.182653 2.10308i −0.0108194 0.124576i
\(286\) 3.34934i 0.198051i
\(287\) 8.77710 3.39836i 0.518096 0.200599i
\(288\) −3.62652 1.32515i −0.213695 0.0780854i
\(289\) −13.3008 + 23.0377i −0.782401 + 1.35516i
\(290\) 0.465931 + 0.807017i 0.0273604 + 0.0473897i
\(291\) 25.1465 + 11.7454i 1.47411 + 0.688527i
\(292\) −1.38907 0.801980i −0.0812892 0.0469323i
\(293\) 28.1912 1.64695 0.823474 0.567354i \(-0.192033\pi\)
0.823474 + 0.567354i \(0.192033\pi\)
\(294\) 3.54889 15.7413i 0.206976 0.918052i
\(295\) 2.13426 0.124261
\(296\) 2.22551 + 1.28490i 0.129355 + 0.0746832i
\(297\) −9.26407 + 9.22892i −0.537556 + 0.535516i
\(298\) −0.765387 1.32569i −0.0443377 0.0767951i
\(299\) −0.247463 + 0.428618i −0.0143112 + 0.0247876i
\(300\) 1.12662 + 1.61116i 0.0650457 + 0.0930202i
\(301\) −5.26911 + 2.04012i −0.303706 + 0.117591i
\(302\) 20.1268i 1.15817i
\(303\) −30.6904 + 2.66547i −1.76312 + 0.153127i
\(304\) 19.2874 11.1356i 1.10621 0.638669i
\(305\) −0.203634 + 0.117568i −0.0116601 + 0.00673194i
\(306\) −20.2179 + 16.9212i −1.15578 + 0.967322i
\(307\) 3.41432i 0.194865i 0.995242 + 0.0974327i \(0.0310631\pi\)
−0.995242 + 0.0974327i \(0.968937\pi\)
\(308\) 1.50455 + 0.233841i 0.0857300 + 0.0133243i
\(309\) −7.11130 + 4.97267i −0.404548 + 0.282885i
\(310\) −1.11477 + 1.93083i −0.0633144 + 0.109664i
\(311\) 3.39631 + 5.88258i 0.192587 + 0.333570i 0.946107 0.323855i \(-0.104979\pi\)
−0.753520 + 0.657425i \(0.771646\pi\)
\(312\) 2.17418 4.65483i 0.123089 0.263528i
\(313\) 23.9070 + 13.8027i 1.35130 + 0.780176i 0.988432 0.151663i \(-0.0484630\pi\)
0.362872 + 0.931839i \(0.381796\pi\)
\(314\) −12.4234 −0.701091
\(315\) 1.29827 0.782950i 0.0731490 0.0441142i
\(316\) 2.57090 0.144625
\(317\) −28.5140 16.4625i −1.60150 0.924629i −0.991187 0.132471i \(-0.957709\pi\)
−0.610317 0.792157i \(-0.708958\pi\)
\(318\) −5.66537 + 12.1294i −0.317698 + 0.680180i
\(319\) −4.61245 7.98900i −0.258248 0.447298i
\(320\) 0.830274 1.43808i 0.0464137 0.0803909i
\(321\) −8.26189 + 5.77724i −0.461134 + 0.322454i
\(322\) −1.35754 1.09283i −0.0756530 0.0609012i
\(323\) 42.1333i 2.34436i
\(324\) 1.93579 0.699019i 0.107544 0.0388344i
\(325\) −4.29853 + 2.48176i −0.238440 + 0.137663i
\(326\) 0.823732 0.475582i 0.0456223 0.0263400i
\(327\) −26.7107 + 2.31983i −1.47710 + 0.128287i
\(328\) 10.5519i 0.582631i
\(329\) 3.74701 24.1086i 0.206579 1.32915i
\(330\) −0.634995 0.908091i −0.0349553 0.0499888i
\(331\) 3.43459 5.94888i 0.188782 0.326980i −0.756062 0.654499i \(-0.772879\pi\)
0.944844 + 0.327520i \(0.106213\pi\)
\(332\) 1.17275 + 2.03126i 0.0643628 + 0.111480i
\(333\) −2.56019 + 0.448086i −0.140297 + 0.0245549i
\(334\) 14.6877 + 8.47995i 0.803675 + 0.464002i
\(335\) −0.909405 −0.0496861
\(336\) 13.2804 + 8.91419i 0.724506 + 0.486309i
\(337\) −1.58731 −0.0864664 −0.0432332 0.999065i \(-0.513766\pi\)
−0.0432332 + 0.999065i \(0.513766\pi\)
\(338\) 1.15260 + 0.665454i 0.0626932 + 0.0361960i
\(339\) 29.2001 + 13.6388i 1.58593 + 0.740757i
\(340\) 0.144213 + 0.249785i 0.00782106 + 0.0135465i
\(341\) 11.0355 19.1141i 0.597608 1.03509i
\(342\) −8.74389 + 23.9292i −0.472815 + 1.29395i
\(343\) 8.26457 16.5740i 0.446245 0.894911i
\(344\) 6.33457i 0.341537i
\(345\) −0.0141675 0.163125i −0.000762751 0.00878238i
\(346\) 5.34106 3.08366i 0.287137 0.165779i
\(347\) 24.7165 14.2701i 1.32685 0.766059i 0.342041 0.939685i \(-0.388882\pi\)
0.984812 + 0.173627i \(0.0555486\pi\)
\(348\) 0.125627 + 1.44647i 0.00673430 + 0.0775392i
\(349\) 15.9772i 0.855240i −0.903959 0.427620i \(-0.859352\pi\)
0.903959 0.427620i \(-0.140648\pi\)
\(350\) −6.31064 16.2988i −0.337318 0.871205i
\(351\) 1.33532 + 5.02165i 0.0712741 + 0.268036i
\(352\) −1.61944 + 2.80496i −0.0863165 + 0.149505i
\(353\) 7.67267 + 13.2894i 0.408375 + 0.707326i 0.994708 0.102744i \(-0.0327623\pi\)
−0.586333 + 0.810070i \(0.699429\pi\)
\(354\) −23.3373 10.9004i −1.24036 0.579348i
\(355\) 0.875584 + 0.505519i 0.0464712 + 0.0268301i
\(356\) −1.48272 −0.0785842
\(357\) −27.1670 + 13.3262i −1.43783 + 0.705300i
\(358\) 19.8346 1.04829
\(359\) −18.3741 10.6083i −0.969750 0.559885i −0.0705898 0.997505i \(-0.522488\pi\)
−0.899160 + 0.437620i \(0.855821\pi\)
\(360\) 0.293027 + 1.67424i 0.0154439 + 0.0882403i
\(361\) 10.8572 + 18.8053i 0.571433 + 0.989752i
\(362\) 9.50399 16.4614i 0.499519 0.865192i
\(363\) −4.63212 6.62428i −0.243123 0.347684i
\(364\) 0.379399 0.471299i 0.0198859 0.0247028i
\(365\) 1.33972i 0.0701243i
\(366\) 2.82712 0.245536i 0.147776 0.0128344i
\(367\) 3.92926 2.26856i 0.205105 0.118418i −0.393929 0.919141i \(-0.628884\pi\)
0.599035 + 0.800723i \(0.295551\pi\)
\(368\) 1.49602 0.863730i 0.0779857 0.0450251i
\(369\) −6.84962 8.18410i −0.356577 0.426047i
\(370\) 0.220244i 0.0114499i
\(371\) −9.63489 + 11.9687i −0.500219 + 0.621384i
\(372\) −2.84683 + 1.99068i −0.147601 + 0.103212i
\(373\) −3.90407 + 6.76204i −0.202145 + 0.350125i −0.949219 0.314615i \(-0.898125\pi\)
0.747074 + 0.664740i \(0.231458\pi\)
\(374\) 11.0581 + 19.1532i 0.571801 + 0.990389i
\(375\) 1.39497 2.98657i 0.0720357 0.154226i
\(376\) 23.6883 + 13.6764i 1.22163 + 0.705308i
\(377\) −3.66565 −0.188791
\(378\) −18.1948 + 1.93058i −0.935841 + 0.0992983i
\(379\) 8.74327 0.449112 0.224556 0.974461i \(-0.427907\pi\)
0.224556 + 0.974461i \(0.427907\pi\)
\(380\) 0.241373 + 0.139357i 0.0123822 + 0.00714885i
\(381\) 8.84176 18.9299i 0.452977 0.969808i
\(382\) 5.91505 + 10.2452i 0.302640 + 0.524189i
\(383\) −10.9192 + 18.9126i −0.557944 + 0.966388i 0.439724 + 0.898133i \(0.355076\pi\)
−0.997668 + 0.0682545i \(0.978257\pi\)
\(384\) −12.7698 + 8.92944i −0.651655 + 0.455679i
\(385\) −0.459197 1.18599i −0.0234028 0.0604435i
\(386\) 26.8603i 1.36715i
\(387\) 4.11199 + 4.91312i 0.209024 + 0.249748i
\(388\) −3.17344 + 1.83219i −0.161107 + 0.0930153i
\(389\) −27.0401 + 15.6116i −1.37099 + 0.791539i −0.991052 0.133474i \(-0.957387\pi\)
−0.379934 + 0.925014i \(0.624053\pi\)
\(390\) −0.438662 + 0.0380979i −0.0222125 + 0.00192916i
\(391\) 3.26807i 0.165273i
\(392\) 13.9823 + 15.3495i 0.706212 + 0.775265i
\(393\) 6.09803 + 8.72064i 0.307605 + 0.439898i
\(394\) 10.5517 18.2760i 0.531585 0.920732i
\(395\) −1.07369 1.85968i −0.0540230 0.0935705i
\(396\) −0.297646 1.70064i −0.0149573 0.0854602i
\(397\) −7.40812 4.27708i −0.371803 0.214661i 0.302443 0.953168i \(-0.402198\pi\)
−0.674246 + 0.738507i \(0.735531\pi\)
\(398\) −3.85796 −0.193382
\(399\) −16.2963 + 24.2783i −0.815834 + 1.21543i
\(400\) 17.3244 0.866218
\(401\) 3.50384 + 2.02294i 0.174973 + 0.101021i 0.584929 0.811085i \(-0.301122\pi\)
−0.409955 + 0.912106i \(0.634456\pi\)
\(402\) 9.94400 + 4.64464i 0.495962 + 0.231653i
\(403\) −4.38513 7.59527i −0.218439 0.378347i
\(404\) 2.03364 3.52238i 0.101178 0.175245i
\(405\) −1.31408 1.10833i −0.0652973 0.0550736i
\(406\) 1.98234 12.7546i 0.0983817 0.632998i
\(407\) 2.18029i 0.108073i
\(408\) −2.93527 33.7969i −0.145317 1.67319i
\(409\) 20.4845 11.8267i 1.01289 0.584794i 0.100855 0.994901i \(-0.467842\pi\)
0.912037 + 0.410107i \(0.134509\pi\)
\(410\) 0.783188 0.452174i 0.0386789 0.0223313i
\(411\) 2.00809 + 23.1213i 0.0990520 + 1.14049i
\(412\) 1.14568i 0.0564434i
\(413\) −23.0282 18.5379i −1.13314 0.912189i
\(414\) −0.678220 + 1.85607i −0.0333327 + 0.0912210i
\(415\) 0.979548 1.69663i 0.0480841 0.0832841i
\(416\) 0.643508 + 1.11459i 0.0315506 + 0.0546472i
\(417\) 4.66387 + 2.17840i 0.228391 + 0.106677i
\(418\) 18.5082 + 10.6857i 0.905266 + 0.522656i
\(419\) −18.1178 −0.885113 −0.442556 0.896741i \(-0.645928\pi\)
−0.442556 + 0.896741i \(0.645928\pi\)
\(420\) −0.0135121 + 0.199711i −0.000659322 + 0.00974489i
\(421\) 3.25502 0.158640 0.0793199 0.996849i \(-0.474725\pi\)
0.0793199 + 0.996849i \(0.474725\pi\)
\(422\) 4.78740 + 2.76401i 0.233047 + 0.134550i
\(423\) −27.2506 + 4.76941i −1.32497 + 0.231897i
\(424\) −8.61287 14.9179i −0.418278 0.724478i
\(425\) −16.3874 + 28.3839i −0.794907 + 1.37682i
\(426\) −6.99233 9.99956i −0.338779 0.484480i
\(427\) 3.21835 + 0.500202i 0.155747 + 0.0242065i
\(428\) 1.33105i 0.0643385i
\(429\) 4.34250 0.377147i 0.209658 0.0182088i
\(430\) −0.470167 + 0.271451i −0.0226735 + 0.0130905i
\(431\) 5.59093 3.22793i 0.269306 0.155484i −0.359266 0.933235i \(-0.616973\pi\)
0.628572 + 0.777751i \(0.283640\pi\)
\(432\) 4.72732 17.5094i 0.227443 0.842422i
\(433\) 7.21337i 0.346652i −0.984864 0.173326i \(-0.944549\pi\)
0.984864 0.173326i \(-0.0554515\pi\)
\(434\) 28.7990 11.1506i 1.38240 0.535244i
\(435\) 0.993851 0.694964i 0.0476515 0.0333210i
\(436\) 1.76993 3.06561i 0.0847644 0.146816i
\(437\) 1.57901 + 2.73492i 0.0755342 + 0.130829i
\(438\) 6.84242 14.6494i 0.326943 0.699974i
\(439\) −1.86794 1.07846i −0.0891521 0.0514720i 0.454761 0.890613i \(-0.349725\pi\)
−0.543913 + 0.839141i \(0.683058\pi\)
\(440\) 1.42580 0.0679726
\(441\) −20.8086 2.82870i −0.990886 0.134700i
\(442\) 8.78820 0.418012
\(443\) −7.56329 4.36667i −0.359343 0.207467i 0.309450 0.950916i \(-0.399855\pi\)
−0.668793 + 0.743449i \(0.733189\pi\)
\(444\) 0.145222 0.310915i 0.00689192 0.0147554i
\(445\) 0.619230 + 1.07254i 0.0293543 + 0.0508431i
\(446\) 1.21359 2.10200i 0.0574651 0.0995325i
\(447\) −1.63260 + 1.14162i −0.0772194 + 0.0539967i
\(448\) −21.4494 + 8.30490i −1.01339 + 0.392370i
\(449\) 12.1932i 0.575434i −0.957715 0.287717i \(-0.907104\pi\)
0.957715 0.287717i \(-0.0928962\pi\)
\(450\) −15.1976 + 12.7195i −0.716420 + 0.599603i
\(451\) −7.75311 + 4.47626i −0.365080 + 0.210779i
\(452\) −3.68501 + 2.12754i −0.173328 + 0.100071i
\(453\) 26.0949 2.26635i 1.22605 0.106482i
\(454\) 12.6509i 0.593736i
\(455\) −0.499365 0.0776123i −0.0234106 0.00363852i
\(456\) −18.7858 26.8651i −0.879725 1.25807i
\(457\) 5.23946 9.07502i 0.245092 0.424511i −0.717066 0.697006i \(-0.754515\pi\)
0.962157 + 0.272494i \(0.0878486\pi\)
\(458\) 5.50825 + 9.54058i 0.257384 + 0.445802i
\(459\) 24.2154 + 24.3076i 1.13028 + 1.13458i
\(460\) 0.0187221 + 0.0108092i 0.000872922 + 0.000503982i
\(461\) 22.7828 1.06110 0.530550 0.847654i \(-0.321986\pi\)
0.530550 + 0.847654i \(0.321986\pi\)
\(462\) −1.03609 + 15.3136i −0.0482034 + 0.712453i
\(463\) 7.71541 0.358565 0.179283 0.983798i \(-0.442622\pi\)
0.179283 + 0.983798i \(0.442622\pi\)
\(464\) 11.0803 + 6.39719i 0.514388 + 0.296982i
\(465\) 2.62889 + 1.22790i 0.121912 + 0.0569426i
\(466\) −17.4839 30.2831i −0.809928 1.40284i
\(467\) 15.1559 26.2509i 0.701334 1.21475i −0.266665 0.963789i \(-0.585922\pi\)
0.967998 0.250956i \(-0.0807450\pi\)
\(468\) −0.644373 0.235458i −0.0297862 0.0108840i
\(469\) 9.81229 + 7.89897i 0.453089 + 0.364740i
\(470\) 2.34427i 0.108133i
\(471\) 1.39891 + 16.1072i 0.0644585 + 0.742180i
\(472\) 28.7026 16.5715i 1.32114 0.762763i
\(473\) 4.65438 2.68721i 0.214009 0.123558i
\(474\) 2.24235 + 25.8185i 0.102994 + 1.18588i
\(475\) 31.6711i 1.45317i
\(476\) 0.613565 3.94774i 0.0281227 0.180944i
\(477\) 16.3639 + 5.97948i 0.749253 + 0.273782i
\(478\) −12.9551 + 22.4388i −0.592551 + 1.02633i
\(479\) 1.17005 + 2.02658i 0.0534609 + 0.0925970i 0.891517 0.452986i \(-0.149641\pi\)
−0.838056 + 0.545583i \(0.816308\pi\)
\(480\) −0.385784 0.180192i −0.0176086 0.00822460i
\(481\) 0.750296 + 0.433184i 0.0342106 + 0.0197515i
\(482\) −5.50424 −0.250711
\(483\) −1.26402 + 1.88315i −0.0575149 + 0.0856861i
\(484\) 1.06721 0.0485097
\(485\) 2.65065 + 1.53035i 0.120360 + 0.0694898i
\(486\) 8.70837 + 18.8307i 0.395020 + 0.854177i
\(487\) −13.7176 23.7595i −0.621602 1.07665i −0.989187 0.146657i \(-0.953149\pi\)
0.367585 0.929990i \(-0.380185\pi\)
\(488\) −1.82572 + 3.16224i −0.0826464 + 0.143148i
\(489\) −0.709358 1.01444i −0.0320783 0.0458744i
\(490\) 0.540101 1.69556i 0.0243993 0.0765976i
\(491\) 17.1609i 0.774461i −0.921983 0.387230i \(-0.873432\pi\)
0.921983 0.387230i \(-0.126568\pi\)
\(492\) 1.40376 0.121917i 0.0632866 0.00549645i
\(493\) −20.9620 + 12.1024i −0.944082 + 0.545066i
\(494\) 7.35450 4.24612i 0.330895 0.191042i
\(495\) −1.10586 + 0.925541i −0.0497047 + 0.0416000i
\(496\) 30.6112i 1.37448i
\(497\) −5.05650 13.0596i −0.226815 0.585805i
\(498\) −19.3762 + 13.5491i −0.868270 + 0.607149i
\(499\) 8.79195 15.2281i 0.393582 0.681704i −0.599337 0.800497i \(-0.704569\pi\)
0.992919 + 0.118793i \(0.0379025\pi\)
\(500\) 0.217604 + 0.376901i 0.00973153 + 0.0168555i
\(501\) 9.34057 19.9978i 0.417306 0.893437i
\(502\) 0.986636 + 0.569635i 0.0440357 + 0.0254240i
\(503\) 28.8300 1.28547 0.642734 0.766090i \(-0.277800\pi\)
0.642734 + 0.766090i \(0.277800\pi\)
\(504\) 11.3805 20.6099i 0.506929 0.918038i
\(505\) −3.39724 −0.151175
\(506\) 1.43559 + 0.828838i 0.0638197 + 0.0368463i
\(507\) 0.732991 1.56931i 0.0325533 0.0696954i
\(508\) 1.37924 + 2.38892i 0.0611941 + 0.105991i
\(509\) 6.42549 11.1293i 0.284805 0.493296i −0.687757 0.725941i \(-0.741405\pi\)
0.972562 + 0.232645i \(0.0747379\pi\)
\(510\) −2.38270 + 1.66614i −0.105508 + 0.0737778i
\(511\) 11.6367 14.4553i 0.514775 0.639466i
\(512\) 25.1980i 1.11361i
\(513\) 32.0094 + 8.64215i 1.41325 + 0.381560i
\(514\) −15.1454 + 8.74419i −0.668034 + 0.385690i
\(515\) −0.828732 + 0.478469i −0.0365183 + 0.0210839i
\(516\) −0.842714 + 0.0731899i −0.0370984 + 0.00322201i
\(517\) 23.2069i 1.02064i
\(518\) −1.91301 + 2.37638i −0.0840526 + 0.104412i
\(519\) −4.59946 6.57757i −0.201894 0.288723i
\(520\) 0.283282 0.490659i 0.0124227 0.0215168i
\(521\) 8.47267 + 14.6751i 0.371195 + 0.642928i 0.989750 0.142814i \(-0.0456150\pi\)
−0.618555 + 0.785741i \(0.712282\pi\)
\(522\) −14.4168 + 2.52324i −0.631006 + 0.110439i
\(523\) 31.2120 + 18.0203i 1.36481 + 0.787972i 0.990259 0.139235i \(-0.0444645\pi\)
0.374548 + 0.927207i \(0.377798\pi\)
\(524\) −1.40495 −0.0613756
\(525\) −20.4211 + 10.0172i −0.891251 + 0.437186i
\(526\) −18.9608 −0.826728
\(527\) −50.1527 28.9557i −2.18469 1.26133i
\(528\) −13.7844 6.43839i −0.599888 0.280195i
\(529\) −11.3775 19.7064i −0.494675 0.856802i
\(530\) −0.738163 + 1.27854i −0.0320638 + 0.0555360i
\(531\) −11.5047 + 31.4848i −0.499262 + 1.36632i
\(532\) −1.39393 3.60016i −0.0604345 0.156087i
\(533\) 3.55741i 0.154089i
\(534\) −1.29324 14.8904i −0.0559638 0.644371i
\(535\) −0.962820 + 0.555884i −0.0416263 + 0.0240330i
\(536\) −12.2302 + 7.06108i −0.528262 + 0.304992i
\(537\) −2.23345 25.7161i −0.0963804 1.10973i
\(538\) 11.2110i 0.483342i
\(539\) −5.34669 + 16.7851i −0.230298 + 0.722985i
\(540\) 0.219346 0.0583269i 0.00943914 0.00250999i
\(541\) 0.408827 0.708110i 0.0175769 0.0304440i −0.857103 0.515145i \(-0.827738\pi\)
0.874680 + 0.484701i \(0.161071\pi\)
\(542\) −2.13571 3.69915i −0.0917365 0.158892i
\(543\) −22.4128 10.4685i −0.961824 0.449248i
\(544\) 7.35981 + 4.24919i 0.315549 + 0.182182i
\(545\) −2.95671 −0.126651
\(546\) 5.06398 + 3.39909i 0.216718 + 0.145468i
\(547\) 30.8867 1.32062 0.660310 0.750993i \(-0.270425\pi\)
0.660310 + 0.750993i \(0.270425\pi\)
\(548\) −2.65366 1.53209i −0.113359 0.0654478i
\(549\) −0.636687 3.63778i −0.0271732 0.155257i
\(550\) 8.31225 + 14.3972i 0.354436 + 0.613901i
\(551\) −11.6949 + 20.2561i −0.498218 + 0.862939i
\(552\) −1.45712 2.08379i −0.0620191 0.0886920i
\(553\) −4.56807 + 29.3914i −0.194254 + 1.24985i
\(554\) 27.2813i 1.15907i
\(555\) −0.285551 + 0.0248002i −0.0121210 + 0.00105271i
\(556\) −0.588573 + 0.339813i −0.0249610 + 0.0144113i
\(557\) −3.22545 + 1.86222i −0.136667 + 0.0789047i −0.566775 0.823873i \(-0.691809\pi\)
0.430108 + 0.902778i \(0.358476\pi\)
\(558\) −22.4747 26.8533i −0.951428 1.13679i
\(559\) 2.13560i 0.0903264i
\(560\) 1.37400 + 1.10608i 0.0580620 + 0.0467404i
\(561\) 23.5874 16.4938i 0.995861 0.696369i
\(562\) −0.731414 + 1.26685i −0.0308528 + 0.0534387i
\(563\) 12.8328 + 22.2271i 0.540839 + 0.936760i 0.998856 + 0.0478168i \(0.0152264\pi\)
−0.458017 + 0.888943i \(0.651440\pi\)
\(564\) 1.54574 3.30937i 0.0650873 0.139350i
\(565\) 3.07794 + 1.77705i 0.129490 + 0.0747610i
\(566\) −27.0184 −1.13567
\(567\) 4.55184 + 23.3726i 0.191159 + 0.981559i
\(568\) 15.7004 0.658775
\(569\) −9.95423 5.74708i −0.417303 0.240930i 0.276620 0.960979i \(-0.410786\pi\)
−0.693923 + 0.720049i \(0.744119\pi\)
\(570\) −1.18898 + 2.54556i −0.0498008 + 0.106622i
\(571\) −19.7883 34.2743i −0.828113 1.43433i −0.899517 0.436886i \(-0.856081\pi\)
0.0714042 0.997447i \(-0.477252\pi\)
\(572\) −0.287748 + 0.498394i −0.0120313 + 0.0208389i
\(573\) 12.6171 8.82265i 0.527085 0.368571i
\(574\) −12.3779 1.92380i −0.516646 0.0802980i
\(575\) 2.45657i 0.102446i
\(576\) 16.7391 + 20.0002i 0.697461 + 0.833344i
\(577\) 39.3970 22.7459i 1.64012 0.946923i 0.659329 0.751854i \(-0.270840\pi\)
0.980790 0.195069i \(-0.0624930\pi\)
\(578\) 30.6611 17.7022i 1.27533 0.736314i
\(579\) 34.8251 3.02456i 1.44728 0.125697i
\(580\) 0.160116i 0.00664845i
\(581\) −25.3058 + 9.79803i −1.04986 + 0.406491i
\(582\) −21.1678 30.2716i −0.877434 1.25480i
\(583\) 7.30739 12.6568i 0.302641 0.524190i
\(584\) 10.4023 + 18.0173i 0.430450 + 0.745561i
\(585\) 0.0987896 + 0.564445i 0.00408445 + 0.0233369i
\(586\) −32.4932 18.7600i −1.34228 0.774967i
\(587\) −13.0663 −0.539305 −0.269652 0.962958i \(-0.586909\pi\)
−0.269652 + 0.962958i \(0.586909\pi\)
\(588\) 1.88045 2.03747i 0.0775486 0.0840239i
\(589\) −55.9612 −2.30584
\(590\) −2.45995 1.42025i −0.101274 0.0584708i
\(591\) −24.8834 11.6225i −1.02357 0.478087i
\(592\) −1.51196 2.61879i −0.0621412 0.107632i
\(593\) 12.1219 20.9958i 0.497787 0.862193i −0.502209 0.864746i \(-0.667479\pi\)
0.999997 + 0.00255311i \(0.000812680\pi\)
\(594\) 16.8192 4.47244i 0.690100 0.183507i
\(595\) −3.11186 + 1.20487i −0.127574 + 0.0493948i
\(596\) 0.263023i 0.0107738i
\(597\) 0.434420 + 5.00194i 0.0177796 + 0.204716i
\(598\) 0.570452 0.329351i 0.0233275 0.0134681i
\(599\) 22.2708 12.8580i 0.909959 0.525365i 0.0295412 0.999564i \(-0.490595\pi\)
0.880418 + 0.474198i \(0.157262\pi\)
\(600\) −2.20641 25.4047i −0.0900762 1.03714i
\(601\) 7.67311i 0.312993i 0.987679 + 0.156496i \(0.0500199\pi\)
−0.987679 + 0.156496i \(0.949980\pi\)
\(602\) 7.43079 + 1.15491i 0.302856 + 0.0470705i
\(603\) 4.90215 13.4156i 0.199631 0.546327i
\(604\) −1.72913 + 2.99494i −0.0703573 + 0.121862i
\(605\) −0.445701 0.771976i −0.0181203 0.0313853i
\(606\) 37.1476 + 17.3509i 1.50902 + 0.704830i
\(607\) −35.1786 20.3104i −1.42786 0.824372i −0.430904 0.902398i \(-0.641805\pi\)
−0.996951 + 0.0780255i \(0.975138\pi\)
\(608\) 8.21218 0.333048
\(609\) −16.7598 1.13394i −0.679141 0.0459496i
\(610\) 0.312945 0.0126708
\(611\) 7.98614 + 4.61080i 0.323085 + 0.186533i
\(612\) −4.46223 + 0.780982i −0.180375 + 0.0315693i
\(613\) 13.0128 + 22.5389i 0.525584 + 0.910338i 0.999556 + 0.0297981i \(0.00948642\pi\)
−0.473972 + 0.880540i \(0.657180\pi\)
\(614\) 2.27207 3.93535i 0.0916934 0.158818i
\(615\) −0.674443 0.964505i −0.0271962 0.0388926i
\(616\) −15.3841 12.3843i −0.619844 0.498979i
\(617\) 45.8721i 1.84674i 0.383912 + 0.923370i \(0.374577\pi\)
−0.383912 + 0.923370i \(0.625423\pi\)
\(618\) 11.5056 0.999262i 0.462822 0.0401962i
\(619\) −12.2518 + 7.07361i −0.492443 + 0.284312i −0.725587 0.688130i \(-0.758432\pi\)
0.233144 + 0.972442i \(0.425099\pi\)
\(620\) −0.331762 + 0.191543i −0.0133239 + 0.00769255i
\(621\) 2.48281 + 0.670328i 0.0996318 + 0.0268993i
\(622\) 9.04035i 0.362485i
\(623\) 2.63455 16.9510i 0.105551 0.679127i
\(624\) −4.95434 + 3.46439i −0.198332 + 0.138687i
\(625\) −12.2270 + 21.1778i −0.489081 + 0.847114i
\(626\) −18.3702 31.8180i −0.734219 1.27170i
\(627\) 11.7702 25.1996i 0.470057 1.00637i
\(628\) −1.84864 1.06731i −0.0737688 0.0425904i
\(629\) 5.72076 0.228102
\(630\) −2.01740 + 0.0384917i −0.0803752 + 0.00153355i
\(631\) −17.4425 −0.694376 −0.347188 0.937796i \(-0.612863\pi\)
−0.347188 + 0.937796i \(0.612863\pi\)
\(632\) −28.8790 16.6733i −1.14874 0.663227i
\(633\) 3.04453 6.51822i 0.121009 0.259076i
\(634\) 21.9101 + 37.9495i 0.870163 + 1.50717i
\(635\) 1.15203 1.99537i 0.0457168 0.0791839i
\(636\) −1.88508 + 1.31817i −0.0747483 + 0.0522688i
\(637\) 4.71392 + 5.17484i 0.186772 + 0.205035i
\(638\) 12.2775i 0.486071i
\(639\) −12.1773 + 10.1917i −0.481727 + 0.403178i
\(640\) −1.48816 + 0.859188i −0.0588246 + 0.0339624i
\(641\) −25.1041 + 14.4939i −0.991552 + 0.572473i −0.905738 0.423838i \(-0.860682\pi\)
−0.0858140 + 0.996311i \(0.527349\pi\)
\(642\) 13.3672 1.16094i 0.527560 0.0458187i
\(643\) 10.2617i 0.404682i −0.979315 0.202341i \(-0.935145\pi\)
0.979315 0.202341i \(-0.0648549\pi\)
\(644\) −0.108120 0.279247i −0.00426053 0.0110039i
\(645\) 0.404885 + 0.579016i 0.0159423 + 0.0227987i
\(646\) 28.0378 48.5629i 1.10313 1.91068i
\(647\) 0.260149 + 0.450591i 0.0102275 + 0.0177146i 0.871094 0.491117i \(-0.163411\pi\)
−0.860866 + 0.508831i \(0.830078\pi\)
\(648\) −26.2781 4.70225i −1.03230 0.184722i
\(649\) 24.3521 + 14.0597i 0.955902 + 0.551890i
\(650\) 6.60599 0.259108
\(651\) −17.6998 36.0830i −0.693711 1.41421i
\(652\) 0.163432 0.00640050
\(653\) 34.4007 + 19.8613i 1.34620 + 0.777231i 0.987710 0.156300i \(-0.0499568\pi\)
0.358495 + 0.933532i \(0.383290\pi\)
\(654\) 32.3305 + 15.1009i 1.26422 + 0.590491i
\(655\) 0.586750 + 1.01628i 0.0229262 + 0.0397094i
\(656\) 6.20829 10.7531i 0.242393 0.419837i
\(657\) −19.7637 7.22179i −0.771057 0.281749i
\(658\) −20.3620 + 25.2942i −0.793793 + 0.986069i
\(659\) 39.4682i 1.53746i −0.639572 0.768731i \(-0.720888\pi\)
0.639572 0.768731i \(-0.279112\pi\)
\(660\) −0.0164738 0.189681i −0.000641243 0.00738332i
\(661\) −18.7374 + 10.8181i −0.728802 + 0.420774i −0.817984 0.575241i \(-0.804908\pi\)
0.0891818 + 0.996015i \(0.471575\pi\)
\(662\) −7.91741 + 4.57112i −0.307719 + 0.177662i
\(663\) −0.989581 11.3941i −0.0384321 0.442510i
\(664\) 30.4228i 1.18063i
\(665\) −2.02205 + 2.51184i −0.0784118 + 0.0974051i
\(666\) 3.24905 + 1.18722i 0.125898 + 0.0460040i
\(667\) −0.907113 + 1.57116i −0.0351235 + 0.0608358i
\(668\) 1.45705 + 2.52369i 0.0563751 + 0.0976446i
\(669\) −2.86194 1.33675i −0.110649 0.0516819i
\(670\) 1.04818 + 0.605168i 0.0404948 + 0.0233797i
\(671\) −3.09798 −0.119596
\(672\) 2.59741 + 5.29510i 0.100197 + 0.204263i
\(673\) −46.0377 −1.77462 −0.887312 0.461170i \(-0.847430\pi\)
−0.887312 + 0.461170i \(0.847430\pi\)
\(674\) 1.82954 + 1.05628i 0.0704712 + 0.0406866i
\(675\) 18.2024 + 18.2718i 0.700612 + 0.703280i
\(676\) 0.114341 + 0.198044i 0.00439772 + 0.00761708i
\(677\) −10.4937 + 18.1756i −0.403306 + 0.698546i −0.994123 0.108260i \(-0.965472\pi\)
0.590817 + 0.806806i \(0.298806\pi\)
\(678\) −24.5801 35.1514i −0.943994 1.34998i
\(679\) −15.3075 39.5354i −0.587448 1.51723i
\(680\) 3.74111i 0.143465i
\(681\) −16.4022 + 1.42453i −0.628533 + 0.0545882i
\(682\) −25.4392 + 14.6873i −0.974116 + 0.562406i
\(683\) −13.6338 + 7.87149i −0.521684 + 0.301194i −0.737623 0.675212i \(-0.764052\pi\)
0.215939 + 0.976407i \(0.430719\pi\)
\(684\) −3.35693 + 2.80955i −0.128355 + 0.107426i
\(685\) 2.55939i 0.0977893i
\(686\) −20.5550 + 13.6035i −0.784793 + 0.519384i
\(687\) 11.7493 8.21588i 0.448265 0.313456i
\(688\) −3.72699 + 6.45534i −0.142090 + 0.246108i
\(689\) −2.90370 5.02935i −0.110622 0.191603i
\(690\) −0.0922231 + 0.197446i −0.00351087 + 0.00751665i
\(691\) −7.04135 4.06532i −0.267865 0.154652i 0.360052 0.932932i \(-0.382759\pi\)
−0.627917 + 0.778280i \(0.716092\pi\)
\(692\) 1.05969 0.0402834
\(693\) 19.9711 0.381046i 0.758640 0.0144747i
\(694\) −37.9844 −1.44187
\(695\) 0.491611 + 0.283832i 0.0186479 + 0.0107664i
\(696\) 7.96977 17.0630i 0.302093 0.646771i
\(697\) 11.7451 + 20.3431i 0.444876 + 0.770549i
\(698\) −10.6321 + 18.4153i −0.402431 + 0.697031i
\(699\) −37.2940 + 26.0783i −1.41059 + 0.986373i
\(700\) 0.461210 2.96747i 0.0174321 0.112160i
\(701\) 25.4148i 0.959904i −0.877295 0.479952i \(-0.840654\pi\)
0.877295 0.479952i \(-0.159346\pi\)
\(702\) 1.80258 6.67655i 0.0680342 0.251990i
\(703\) 4.78748 2.76405i 0.180563 0.104248i
\(704\) 18.9470 10.9391i 0.714092 0.412281i
\(705\) −3.03940 + 0.263973i −0.114470 + 0.00994178i
\(706\) 20.4232i 0.768639i
\(707\) 36.6555 + 29.5080i 1.37857 + 1.10976i
\(708\) −2.53620 3.62696i −0.0953163 0.136310i
\(709\) 3.63519 6.29633i 0.136522 0.236464i −0.789656 0.613550i \(-0.789741\pi\)
0.926178 + 0.377087i \(0.123074\pi\)
\(710\) −0.672799 1.16532i −0.0252497 0.0437338i
\(711\) 33.2219 5.81451i 1.24592 0.218061i
\(712\) 16.6554 + 9.61602i 0.624189 + 0.360376i
\(713\) −4.34063 −0.162558
\(714\) 40.1807 + 2.71856i 1.50373 + 0.101739i
\(715\) 0.480688 0.0179767
\(716\) 2.95146 + 1.70403i 0.110301 + 0.0636825i
\(717\) 30.5512 + 14.2699i 1.14096 + 0.532917i
\(718\) 14.1187 + 24.4543i 0.526905 + 0.912626i
\(719\) 1.38474 2.39844i 0.0516420 0.0894466i −0.839049 0.544056i \(-0.816888\pi\)
0.890691 + 0.454610i \(0.150221\pi\)
\(720\) 0.686440 1.87857i 0.0255821 0.0700101i
\(721\) 13.0978 + 2.03568i 0.487786 + 0.0758126i
\(722\) 28.9000i 1.07555i
\(723\) 0.619796 + 7.13638i 0.0230505 + 0.265405i
\(724\) 2.82846 1.63301i 0.105119 0.0606903i
\(725\) −15.7569 + 9.09726i −0.585197 + 0.337864i
\(726\) 0.930827 + 10.7176i 0.0345462 + 0.397768i
\(727\) 31.4996i 1.16826i −0.811661 0.584128i \(-0.801436\pi\)
0.811661 0.584128i \(-0.198564\pi\)
\(728\) −7.31835 + 2.83356i −0.271236 + 0.105019i
\(729\) 23.4338 13.4110i 0.867920 0.496704i
\(730\) 0.891525 1.54417i 0.0329968 0.0571522i
\(731\) −7.05086 12.2124i −0.260785 0.451694i
\(732\) 0.441780 + 0.206346i 0.0163287 + 0.00762678i
\(733\) −25.3224 14.6199i −0.935305 0.539999i −0.0468197 0.998903i \(-0.514909\pi\)
−0.888486 + 0.458905i \(0.848242\pi\)
\(734\) −6.03849 −0.222885
\(735\) −2.25915 0.509328i −0.0833301 0.0187868i
\(736\) 0.636978 0.0234793
\(737\) −10.3764 5.99082i −0.382219 0.220675i
\(738\) 2.44873 + 13.9911i 0.0901391 + 0.515020i
\(739\) −7.27050 12.5929i −0.267450 0.463237i 0.700753 0.713404i \(-0.252848\pi\)
−0.968203 + 0.250168i \(0.919514\pi\)
\(740\) 0.0189215 0.0327730i 0.000695569 0.00120476i
\(741\) −6.33334 9.05716i −0.232661 0.332723i
\(742\) 19.0698 7.38355i 0.700075 0.271059i
\(743\) 49.4264i 1.81328i 0.421908 + 0.906639i \(0.361361\pi\)
−0.421908 + 0.906639i \(0.638639\pi\)
\(744\) 44.8888 3.89860i 1.64570 0.142930i
\(745\) −0.190259 + 0.109846i −0.00697056 + 0.00402445i
\(746\) 8.99966 5.19596i 0.329501 0.190237i
\(747\) 19.7486 + 23.5961i 0.722562 + 0.863335i
\(748\) 3.80009i 0.138945i
\(749\) 15.2170 + 2.36505i 0.556016 + 0.0864170i
\(750\) −3.59527 + 2.51404i −0.131281 + 0.0917998i
\(751\) −23.8423 + 41.2960i −0.870016 + 1.50691i −0.00803813 + 0.999968i \(0.502559\pi\)
−0.861978 + 0.506945i \(0.830775\pi\)
\(752\) −16.0933 27.8744i −0.586861 1.01647i
\(753\) 0.627446 1.34334i 0.0228654 0.0489540i
\(754\) 4.22503 + 2.43932i 0.153867 + 0.0888349i
\(755\) 2.88855 0.105125
\(756\) −2.87332 1.27587i −0.104501 0.0464031i
\(757\) −10.2924 −0.374085 −0.187043 0.982352i \(-0.559890\pi\)
−0.187043 + 0.982352i \(0.559890\pi\)
\(758\) −10.0775 5.81825i −0.366031 0.211328i
\(759\) 0.912956 1.95461i 0.0331382 0.0709477i
\(760\) −1.80756 3.13079i −0.0655672 0.113566i
\(761\) −23.4579 + 40.6302i −0.850346 + 1.47284i 0.0305495 + 0.999533i \(0.490274\pi\)
−0.880896 + 0.473310i \(0.843059\pi\)
\(762\) −22.7880 + 15.9348i −0.825522 + 0.577258i
\(763\) 31.9022 + 25.6815i 1.15494 + 0.929734i
\(764\) 2.03269i 0.0735402i
\(765\) 2.42849 + 2.90162i 0.0878022 + 0.104908i
\(766\) 25.1709 14.5324i 0.909462 0.525078i
\(767\) 9.67665 5.58681i 0.349403 0.201728i
\(768\) −9.34193 + 0.811349i −0.337098 + 0.0292770i
\(769\) 44.9218i 1.61992i 0.586485 + 0.809960i \(0.300511\pi\)
−0.586485 + 0.809960i \(0.699489\pi\)
\(770\) −0.259950 + 1.67255i −0.00936795 + 0.0602743i
\(771\) 13.0425 + 18.6517i 0.469713 + 0.671725i
\(772\) −2.30762 + 3.99691i −0.0830530 + 0.143852i
\(773\) −25.9463 44.9404i −0.933225 1.61639i −0.777769 0.628550i \(-0.783649\pi\)
−0.155456 0.987843i \(-0.549685\pi\)
\(774\) −1.47003 8.39921i −0.0528393 0.301903i
\(775\) −37.6992 21.7657i −1.35420 0.781846i