Properties

Label 483.2.r.a.181.25
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.25
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.249170 + 1.73301i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-1.02227 + 0.300164i) q^{4} +(-0.949954 + 1.09631i) q^{5} +(0.493267 - 1.67991i) q^{6} +(2.24482 - 1.40028i) q^{7} +(0.679740 + 1.48842i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.249170 + 1.73301i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-1.02227 + 0.300164i) q^{4} +(-0.949954 + 1.09631i) q^{5} +(0.493267 - 1.67991i) q^{6} +(2.24482 - 1.40028i) q^{7} +(0.679740 + 1.48842i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-2.13661 - 1.37312i) q^{10} +(4.23455 + 0.608836i) q^{11} +(1.05458 + 0.151625i) q^{12} +(0.348161 - 0.541750i) q^{13} +(2.98605 + 3.54139i) q^{14} +(1.31953 - 0.602609i) q^{15} +(-4.20267 + 2.70089i) q^{16} +(3.23495 + 0.949868i) q^{17} +(-1.14655 + 1.32319i) q^{18} +(-5.44140 + 1.59774i) q^{19} +(0.642033 - 1.40586i) q^{20} +(-2.62366 + 0.341213i) q^{21} +7.49023i q^{22} +(-3.94316 + 2.72975i) q^{23} -1.63629i q^{24} +(0.412101 + 2.86623i) q^{25} +(1.02561 + 0.468381i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.87448 + 2.10528i) q^{28} +(0.971380 + 0.285223i) q^{29} +(1.37312 + 2.13661i) q^{30} +(-1.32538 + 0.605279i) q^{31} +(-3.58477 - 4.13705i) q^{32} +(-3.59896 - 2.31291i) q^{33} +(-0.840082 + 5.84290i) q^{34} +(-0.597334 + 3.79121i) q^{35} +(-0.896290 - 0.576011i) q^{36} +(4.12525 - 3.57455i) q^{37} +(-4.12473 - 9.03191i) q^{38} +(-0.541750 + 0.348161i) q^{39} +(-2.27749 - 0.668731i) q^{40} +(8.09702 + 7.01611i) q^{41} +(-1.24506 - 4.46181i) q^{42} +(0.221014 + 0.100934i) q^{43} +(-4.51158 + 0.648668i) q^{44} -1.45062 q^{45} +(-5.71320 - 6.15337i) q^{46} +9.53579i q^{47} +(4.94487 - 0.710965i) q^{48} +(3.07841 - 6.28676i) q^{49} +(-4.86453 + 1.42835i) q^{50} +(-2.54803 - 2.20788i) q^{51} +(-0.193299 + 0.658317i) q^{52} +(-3.23708 - 5.03700i) q^{53} +(1.59262 - 0.727323i) q^{54} +(-4.69010 + 4.06399i) q^{55} +(3.61011 + 2.38941i) q^{56} +(5.61339 + 0.807084i) q^{57} +(-0.252257 + 1.75448i) q^{58} +(2.73409 - 4.25433i) q^{59} +(-1.16803 + 1.01210i) q^{60} +(-3.29586 - 7.21692i) q^{61} +(-1.37920 - 2.14608i) q^{62} +(2.52831 + 0.779528i) q^{63} +(-0.266659 + 0.307740i) q^{64} +(0.263186 + 0.896329i) q^{65} +(3.11156 - 6.81336i) q^{66} +(3.82326 - 0.549702i) q^{67} -3.59210 q^{68} +(4.72080 - 0.845019i) q^{69} +(-6.71906 - 0.0905321i) q^{70} +(-2.33283 - 16.2252i) q^{71} +(-0.679740 + 1.48842i) q^{72} +(-1.52030 - 5.17765i) q^{73} +(7.22263 + 6.25845i) q^{74} +(0.815813 - 2.77841i) q^{75} +(5.08297 - 3.26662i) q^{76} +(10.3583 - 4.56285i) q^{77} +(-0.738356 - 0.852108i) q^{78} +(8.23381 - 12.8121i) q^{79} +(1.03134 - 7.17313i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-10.1415 + 15.7805i) q^{82} +(-0.871454 - 1.00571i) q^{83} +(2.57965 - 1.13634i) q^{84} +(-4.11440 + 2.64417i) q^{85} +(-0.119849 + 0.408170i) q^{86} +(-0.765112 - 0.662973i) q^{87} +(1.97219 + 6.71665i) q^{88} +(-2.86528 + 6.27410i) q^{89} +(-0.361451 - 2.51394i) q^{90} +(0.0229549 - 1.70365i) q^{91} +(3.21158 - 3.97412i) q^{92} +1.45705 q^{93} +(-16.5256 + 2.37603i) q^{94} +(3.41747 - 7.48321i) q^{95} +(1.54223 + 5.25236i) q^{96} +(4.37973 - 5.05447i) q^{97} +(11.6621 + 3.76845i) q^{98} +(2.31291 + 3.59896i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} + O(q^{10}) \) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} - 4q^{18} + 52q^{23} - 68q^{25} - 88q^{28} + 24q^{32} + 28q^{35} + 14q^{36} - 44q^{37} + 110q^{42} - 44q^{43} - 154q^{44} + 40q^{46} - 16q^{49} - 166q^{50} - 44q^{51} + 110q^{56} - 44q^{57} - 62q^{58} - 84q^{64} + 72q^{70} - 40q^{71} - 12q^{72} + 22q^{74} + 72q^{77} - 8q^{78} - 88q^{79} - 32q^{81} - 304q^{85} + 330q^{88} - 412q^{92} + 24q^{93} + 148q^{95} - 60q^{98} + 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.249170 + 1.73301i 0.176190 + 1.22543i 0.865481 + 0.500942i \(0.167013\pi\)
−0.689291 + 0.724484i \(0.742078\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −1.02227 + 0.300164i −0.511133 + 0.150082i
\(5\) −0.949954 + 1.09631i −0.424832 + 0.490283i −0.927303 0.374312i \(-0.877879\pi\)
0.502471 + 0.864594i \(0.332425\pi\)
\(6\) 0.493267 1.67991i 0.201375 0.685822i
\(7\) 2.24482 1.40028i 0.848461 0.529258i
\(8\) 0.679740 + 1.48842i 0.240324 + 0.526237i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −2.13661 1.37312i −0.675656 0.434218i
\(11\) 4.23455 + 0.608836i 1.27676 + 0.183571i 0.747143 0.664663i \(-0.231425\pi\)
0.529621 + 0.848234i \(0.322334\pi\)
\(12\) 1.05458 + 0.151625i 0.304430 + 0.0437705i
\(13\) 0.348161 0.541750i 0.0965626 0.150254i −0.789611 0.613608i \(-0.789718\pi\)
0.886174 + 0.463353i \(0.153354\pi\)
\(14\) 2.98605 + 3.54139i 0.798056 + 0.946476i
\(15\) 1.31953 0.602609i 0.340701 0.155593i
\(16\) −4.20267 + 2.70089i −1.05067 + 0.675223i
\(17\) 3.23495 + 0.949868i 0.784592 + 0.230377i 0.649404 0.760443i \(-0.275018\pi\)
0.135187 + 0.990820i \(0.456836\pi\)
\(18\) −1.14655 + 1.32319i −0.270245 + 0.311879i
\(19\) −5.44140 + 1.59774i −1.24834 + 0.366546i −0.838143 0.545450i \(-0.816359\pi\)
−0.410199 + 0.911996i \(0.634541\pi\)
\(20\) 0.642033 1.40586i 0.143563 0.314359i
\(21\) −2.62366 + 0.341213i −0.572529 + 0.0744588i
\(22\) 7.49023i 1.59692i
\(23\) −3.94316 + 2.72975i −0.822205 + 0.569192i
\(24\) 1.63629i 0.334007i
\(25\) 0.412101 + 2.86623i 0.0824203 + 0.573246i
\(26\) 1.02561 + 0.468381i 0.201139 + 0.0918570i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −1.87448 + 2.10528i −0.354244 + 0.397860i
\(29\) 0.971380 + 0.285223i 0.180381 + 0.0529645i 0.370675 0.928762i \(-0.379126\pi\)
−0.190295 + 0.981727i \(0.560944\pi\)
\(30\) 1.37312 + 2.13661i 0.250696 + 0.390090i
\(31\) −1.32538 + 0.605279i −0.238044 + 0.108711i −0.530866 0.847456i \(-0.678133\pi\)
0.292821 + 0.956167i \(0.405406\pi\)
\(32\) −3.58477 4.13705i −0.633704 0.731334i
\(33\) −3.59896 2.31291i −0.626499 0.402626i
\(34\) −0.840082 + 5.84290i −0.144073 + 1.00205i
\(35\) −0.597334 + 3.79121i −0.100968 + 0.640832i
\(36\) −0.896290 0.576011i −0.149382 0.0960018i
\(37\) 4.12525 3.57455i 0.678187 0.587653i −0.246149 0.969232i \(-0.579165\pi\)
0.924336 + 0.381580i \(0.124620\pi\)
\(38\) −4.12473 9.03191i −0.669120 1.46517i
\(39\) −0.541750 + 0.348161i −0.0867494 + 0.0557504i
\(40\) −2.27749 0.668731i −0.360102 0.105736i
\(41\) 8.09702 + 7.01611i 1.26454 + 1.09573i 0.990999 + 0.133873i \(0.0427414\pi\)
0.273544 + 0.961860i \(0.411804\pi\)
\(42\) −1.24506 4.46181i −0.192117 0.688473i
\(43\) 0.221014 + 0.100934i 0.0337043 + 0.0153922i 0.432196 0.901780i \(-0.357739\pi\)
−0.398492 + 0.917172i \(0.630466\pi\)
\(44\) −4.51158 + 0.648668i −0.680147 + 0.0977903i
\(45\) −1.45062 −0.216246
\(46\) −5.71320 6.15337i −0.842366 0.907266i
\(47\) 9.53579i 1.39094i 0.718556 + 0.695469i \(0.244803\pi\)
−0.718556 + 0.695469i \(0.755197\pi\)
\(48\) 4.94487 0.710965i 0.713731 0.102619i
\(49\) 3.07841 6.28676i 0.439772 0.898109i
\(50\) −4.86453 + 1.42835i −0.687948 + 0.202000i
\(51\) −2.54803 2.20788i −0.356795 0.309165i
\(52\) −0.193299 + 0.658317i −0.0268058 + 0.0912922i
\(53\) −3.23708 5.03700i −0.444648 0.691885i 0.544508 0.838756i \(-0.316716\pi\)
−0.989156 + 0.146870i \(0.953080\pi\)
\(54\) 1.59262 0.727323i 0.216727 0.0989761i
\(55\) −4.69010 + 4.06399i −0.632412 + 0.547988i
\(56\) 3.61011 + 2.38941i 0.482421 + 0.319298i
\(57\) 5.61339 + 0.807084i 0.743512 + 0.106901i
\(58\) −0.252257 + 1.75448i −0.0331229 + 0.230375i
\(59\) 2.73409 4.25433i 0.355948 0.553866i −0.616391 0.787440i \(-0.711406\pi\)
0.972339 + 0.233574i \(0.0750422\pi\)
\(60\) −1.16803 + 1.01210i −0.150792 + 0.130662i
\(61\) −3.29586 7.21692i −0.421991 0.924032i −0.994559 0.104174i \(-0.966780\pi\)
0.572568 0.819857i \(-0.305947\pi\)
\(62\) −1.37920 2.14608i −0.175159 0.272552i
\(63\) 2.52831 + 0.779528i 0.318537 + 0.0982113i
\(64\) −0.266659 + 0.307740i −0.0333323 + 0.0384676i
\(65\) 0.263186 + 0.896329i 0.0326442 + 0.111176i
\(66\) 3.11156 6.81336i 0.383006 0.838666i
\(67\) 3.82326 0.549702i 0.467086 0.0671568i 0.0952461 0.995454i \(-0.469636\pi\)
0.371840 + 0.928297i \(0.378727\pi\)
\(68\) −3.59210 −0.435606
\(69\) 4.72080 0.845019i 0.568317 0.101728i
\(70\) −6.71906 0.0905321i −0.803081 0.0108207i
\(71\) −2.33283 16.2252i −0.276856 1.92558i −0.368173 0.929757i \(-0.620017\pi\)
0.0913169 0.995822i \(-0.470892\pi\)
\(72\) −0.679740 + 1.48842i −0.0801081 + 0.175412i
\(73\) −1.52030 5.17765i −0.177937 0.605998i −0.999363 0.0356831i \(-0.988639\pi\)
0.821426 0.570315i \(-0.193179\pi\)
\(74\) 7.22263 + 6.25845i 0.839614 + 0.727530i
\(75\) 0.815813 2.77841i 0.0942020 0.320823i
\(76\) 5.08297 3.26662i 0.583056 0.374708i
\(77\) 10.3583 4.56285i 1.18044 0.519985i
\(78\) −0.738356 0.852108i −0.0836024 0.0964823i
\(79\) 8.23381 12.8121i 0.926375 1.44147i 0.0293101 0.999570i \(-0.490669\pi\)
0.897065 0.441898i \(-0.145695\pi\)
\(80\) 1.03134 7.17313i 0.115307 0.801980i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −10.1415 + 15.7805i −1.11994 + 1.74266i
\(83\) −0.871454 1.00571i −0.0956545 0.110391i 0.705904 0.708307i \(-0.250541\pi\)
−0.801559 + 0.597916i \(0.795996\pi\)
\(84\) 2.57965 1.13634i 0.281463 0.123985i
\(85\) −4.11440 + 2.64417i −0.446270 + 0.286800i
\(86\) −0.119849 + 0.408170i −0.0129237 + 0.0440141i
\(87\) −0.765112 0.662973i −0.0820286 0.0710782i
\(88\) 1.97219 + 6.71665i 0.210236 + 0.715997i
\(89\) −2.86528 + 6.27410i −0.303720 + 0.665053i −0.998534 0.0541364i \(-0.982759\pi\)
0.694814 + 0.719190i \(0.255487\pi\)
\(90\) −0.361451 2.51394i −0.0381002 0.264993i
\(91\) 0.0229549 1.70365i 0.00240633 0.178591i
\(92\) 3.21158 3.97412i 0.334830 0.414331i
\(93\) 1.45705 0.151089
\(94\) −16.5256 + 2.37603i −1.70449 + 0.245069i
\(95\) 3.41747 7.48321i 0.350625 0.767761i
\(96\) 1.54223 + 5.25236i 0.157403 + 0.536067i
\(97\) 4.37973 5.05447i 0.444694 0.513204i −0.488507 0.872560i \(-0.662458\pi\)
0.933201 + 0.359356i \(0.117004\pi\)
\(98\) 11.6621 + 3.76845i 1.17805 + 0.380671i
\(99\) 2.31291 + 3.59896i 0.232456 + 0.361709i
\(100\) −1.28162 2.80635i −0.128162 0.280635i
\(101\) −1.08927 + 0.943854i −0.108386 + 0.0939170i −0.707368 0.706846i \(-0.750118\pi\)
0.598982 + 0.800763i \(0.295572\pi\)
\(102\) 3.19139 4.96590i 0.315995 0.491698i
\(103\) −1.95676 + 13.6096i −0.192805 + 1.34099i 0.631734 + 0.775185i \(0.282343\pi\)
−0.824539 + 0.565805i \(0.808566\pi\)
\(104\) 1.04301 + 0.149962i 0.102276 + 0.0147050i
\(105\) 2.11828 3.20047i 0.206723 0.312333i
\(106\) 7.92261 6.86498i 0.769512 0.666786i
\(107\) 1.11810 0.510620i 0.108091 0.0493635i −0.360636 0.932707i \(-0.617440\pi\)
0.468727 + 0.883343i \(0.344713\pi\)
\(108\) 0.576011 + 0.896290i 0.0554267 + 0.0862456i
\(109\) −1.00860 + 3.43499i −0.0966067 + 0.329012i −0.993589 0.113055i \(-0.963936\pi\)
0.896982 + 0.442067i \(0.145755\pi\)
\(110\) −8.21158 7.11538i −0.782944 0.678425i
\(111\) −5.23738 + 1.53783i −0.497110 + 0.145965i
\(112\) −5.65220 + 11.9479i −0.534083 + 1.12897i
\(113\) −3.65192 + 0.525067i −0.343544 + 0.0493941i −0.311927 0.950106i \(-0.600975\pi\)
−0.0316163 + 0.999500i \(0.510065\pi\)
\(114\) 9.92919i 0.929954i
\(115\) 0.753181 6.91604i 0.0702345 0.644924i
\(116\) −1.07862 −0.100147
\(117\) 0.637424 0.0916478i 0.0589299 0.00847284i
\(118\) 8.05406 + 3.67817i 0.741436 + 0.338603i
\(119\) 8.59196 2.39758i 0.787624 0.219785i
\(120\) 1.79387 + 1.55440i 0.163758 + 0.141897i
\(121\) 7.00629 + 2.05723i 0.636936 + 0.187021i
\(122\) 11.6858 7.51000i 1.05798 0.679924i
\(123\) −4.45071 9.74570i −0.401307 0.878740i
\(124\) 1.17320 1.01659i 0.105357 0.0912921i
\(125\) −9.63543 6.19232i −0.861819 0.553858i
\(126\) −0.720955 + 4.57583i −0.0642278 + 0.407647i
\(127\) −0.951892 + 6.62056i −0.0844668 + 0.587479i 0.902999 + 0.429644i \(0.141361\pi\)
−0.987465 + 0.157836i \(0.949548\pi\)
\(128\) −9.80997 6.30448i −0.867087 0.557243i
\(129\) −0.159112 0.183625i −0.0140090 0.0161673i
\(130\) −1.48777 + 0.679443i −0.130486 + 0.0595911i
\(131\) −4.88667 7.60380i −0.426950 0.664347i 0.559421 0.828884i \(-0.311024\pi\)
−0.986371 + 0.164537i \(0.947387\pi\)
\(132\) 4.37335 + 1.28413i 0.380651 + 0.111769i
\(133\) −9.97765 + 11.2061i −0.865172 + 0.971695i
\(134\) 1.90528 + 6.48880i 0.164591 + 0.560547i
\(135\) 1.31953 + 0.602609i 0.113567 + 0.0518644i
\(136\) 0.785122 + 5.46064i 0.0673236 + 0.468246i
\(137\) 11.5105i 0.983405i 0.870763 + 0.491703i \(0.163625\pi\)
−0.870763 + 0.491703i \(0.836375\pi\)
\(138\) 2.64071 + 7.97066i 0.224792 + 0.678507i
\(139\) 18.7004i 1.58614i −0.609128 0.793072i \(-0.708480\pi\)
0.609128 0.793072i \(-0.291520\pi\)
\(140\) −0.527352 4.05492i −0.0445694 0.342703i
\(141\) 3.96131 8.67406i 0.333602 0.730487i
\(142\) 27.5373 8.08567i 2.31087 0.678534i
\(143\) 1.80414 2.08209i 0.150870 0.174113i
\(144\) −4.79336 1.40746i −0.399447 0.117288i
\(145\) −1.23546 + 0.793980i −0.102599 + 0.0659365i
\(146\) 8.59413 3.92481i 0.711255 0.324819i
\(147\) −5.41183 + 4.43983i −0.446361 + 0.366191i
\(148\) −3.14415 + 4.89239i −0.258447 + 0.402152i
\(149\) 20.5609 + 2.95622i 1.68442 + 0.242183i 0.916978 0.398938i \(-0.130621\pi\)
0.767440 + 0.641121i \(0.221530\pi\)
\(150\) 5.01829 + 0.721521i 0.409742 + 0.0589120i
\(151\) −18.9904 12.2044i −1.54542 0.993178i −0.986464 0.163977i \(-0.947568\pi\)
−0.558951 0.829201i \(-0.688796\pi\)
\(152\) −6.07684 7.01305i −0.492897 0.568834i
\(153\) 1.40058 + 3.06685i 0.113230 + 0.247940i
\(154\) 10.4885 + 16.8142i 0.845184 + 1.35493i
\(155\) 0.595475 2.02800i 0.0478297 0.162893i
\(156\) 0.449306 0.518527i 0.0359733 0.0415154i
\(157\) 17.6017 5.16833i 1.40477 0.412478i 0.510451 0.859907i \(-0.329478\pi\)
0.894320 + 0.447429i \(0.147660\pi\)
\(158\) 24.2551 + 11.0769i 1.92963 + 0.881233i
\(159\) 0.852109 + 5.92655i 0.0675767 + 0.470006i
\(160\) 7.94084 0.627778
\(161\) −5.02924 + 11.6493i −0.396360 + 0.918095i
\(162\) −1.75083 −0.137559
\(163\) −1.96677 13.6792i −0.154050 1.07144i −0.909342 0.416050i \(-0.863414\pi\)
0.755292 0.655389i \(-0.227495\pi\)
\(164\) −10.3833 4.74189i −0.810799 0.370279i
\(165\) 5.95450 1.74840i 0.463558 0.136113i
\(166\) 1.52577 1.76083i 0.118423 0.136667i
\(167\) 0.775195 2.64007i 0.0599864 0.204295i −0.924047 0.382279i \(-0.875139\pi\)
0.984033 + 0.177984i \(0.0569575\pi\)
\(168\) −2.29127 3.67317i −0.176776 0.283392i
\(169\) 5.22812 + 11.4480i 0.402163 + 0.880614i
\(170\) −5.60756 6.47147i −0.430080 0.496339i
\(171\) −4.77085 3.06604i −0.364836 0.234466i
\(172\) −0.256232 0.0368405i −0.0195375 0.00280906i
\(173\) 0.976571 + 0.140410i 0.0742474 + 0.0106752i 0.179338 0.983787i \(-0.442604\pi\)
−0.105091 + 0.994463i \(0.533513\pi\)
\(174\) 0.958299 1.49114i 0.0726485 0.113043i
\(175\) 4.93863 + 5.85710i 0.373325 + 0.442755i
\(176\) −19.4408 + 8.87831i −1.46540 + 0.669228i
\(177\) −4.25433 + 2.73409i −0.319775 + 0.205507i
\(178\) −11.5870 3.40226i −0.868486 0.255010i
\(179\) 0.839105 0.968379i 0.0627177 0.0723801i −0.723524 0.690300i \(-0.757479\pi\)
0.786241 + 0.617919i \(0.212024\pi\)
\(180\) 1.48292 0.435424i 0.110530 0.0324546i
\(181\) −4.35709 + 9.54069i −0.323860 + 0.709154i −0.999609 0.0279780i \(-0.991093\pi\)
0.675749 + 0.737132i \(0.263820\pi\)
\(182\) 2.95818 0.384718i 0.219275 0.0285172i
\(183\) 7.93389i 0.586490i
\(184\) −6.74334 4.01357i −0.497125 0.295884i
\(185\) 7.91819i 0.582157i
\(186\) 0.363052 + 2.52508i 0.0266202 + 0.185148i
\(187\) 13.1203 + 5.99182i 0.959448 + 0.438165i
\(188\) −2.86230 9.74810i −0.208755 0.710953i
\(189\) −1.97600 1.75938i −0.143733 0.127976i
\(190\) 13.8200 + 4.05793i 1.00261 + 0.294393i
\(191\) −7.12396 11.0851i −0.515472 0.802090i 0.481771 0.876297i \(-0.339994\pi\)
−0.997243 + 0.0742075i \(0.976357\pi\)
\(192\) 0.370401 0.169157i 0.0267314 0.0122078i
\(193\) −2.56259 2.95739i −0.184459 0.212877i 0.655987 0.754772i \(-0.272253\pi\)
−0.840446 + 0.541895i \(0.817707\pi\)
\(194\) 9.85077 + 6.33070i 0.707244 + 0.454518i
\(195\) 0.132946 0.924660i 0.00952047 0.0662163i
\(196\) −1.25989 + 7.35077i −0.0899919 + 0.525055i
\(197\) −18.9842 12.2004i −1.35257 0.869244i −0.354732 0.934968i \(-0.615428\pi\)
−0.997838 + 0.0657247i \(0.979064\pi\)
\(198\) −5.66074 + 4.90506i −0.402291 + 0.348587i
\(199\) −2.24844 4.92341i −0.159388 0.349011i 0.813042 0.582205i \(-0.197810\pi\)
−0.972430 + 0.233193i \(0.925082\pi\)
\(200\) −3.98604 + 2.56167i −0.281855 + 0.181137i
\(201\) −3.70612 1.08821i −0.261409 0.0767567i
\(202\) −1.90712 1.65253i −0.134185 0.116272i
\(203\) 2.57996 0.719935i 0.181078 0.0505295i
\(204\) 3.26749 + 1.49221i 0.228770 + 0.104476i
\(205\) −15.3836 + 2.21183i −1.07444 + 0.154481i
\(206\) −24.0731 −1.67725
\(207\) −4.64522 1.19243i −0.322865 0.0828800i
\(208\) 3.21714i 0.223068i
\(209\) −24.0146 + 3.45278i −1.66113 + 0.238834i
\(210\) 6.07426 + 2.87355i 0.419164 + 0.198294i
\(211\) 12.1292 3.56145i 0.835008 0.245180i 0.163841 0.986487i \(-0.447612\pi\)
0.671167 + 0.741306i \(0.265793\pi\)
\(212\) 4.82109 + 4.17749i 0.331114 + 0.286912i
\(213\) −4.61818 + 15.7281i −0.316432 + 1.07767i
\(214\) 1.16351 + 1.81045i 0.0795357 + 0.123760i
\(215\) −0.320607 + 0.146416i −0.0218652 + 0.00998552i
\(216\) 1.23663 1.07154i 0.0841418 0.0729093i
\(217\) −2.12766 + 3.21464i −0.144435 + 0.218224i
\(218\) −6.20419 0.892028i −0.420201 0.0604158i
\(219\) −0.767965 + 5.34131i −0.0518942 + 0.360932i
\(220\) 3.57466 5.56228i 0.241003 0.375009i
\(221\) 1.64088 1.42183i 0.110377 0.0956425i
\(222\) −3.97009 8.69327i −0.266455 0.583454i
\(223\) −11.3708 17.6933i −0.761443 1.18483i −0.978009 0.208560i \(-0.933122\pi\)
0.216567 0.976268i \(-0.430514\pi\)
\(224\) −13.8402 4.26721i −0.924737 0.285115i
\(225\) −1.89628 + 2.18843i −0.126419 + 0.145895i
\(226\) −1.81990 6.19800i −0.121058 0.412285i
\(227\) 4.14413 9.07438i 0.275056 0.602288i −0.720809 0.693133i \(-0.756230\pi\)
0.995865 + 0.0908455i \(0.0289570\pi\)
\(228\) −5.98063 + 0.859885i −0.396077 + 0.0569473i
\(229\) 7.24148 0.478531 0.239265 0.970954i \(-0.423093\pi\)
0.239265 + 0.970954i \(0.423093\pi\)
\(230\) 12.1733 0.417994i 0.802681 0.0275617i
\(231\) −11.3177 0.152494i −0.744653 0.0100334i
\(232\) 0.235753 + 1.63970i 0.0154780 + 0.107652i
\(233\) −11.2999 + 24.7434i −0.740283 + 1.62099i 0.0428051 + 0.999083i \(0.486371\pi\)
−0.783088 + 0.621911i \(0.786357\pi\)
\(234\) 0.317654 + 1.08183i 0.0207657 + 0.0707214i
\(235\) −10.4541 9.05856i −0.681952 0.590915i
\(236\) −1.51797 + 5.16973i −0.0988113 + 0.336521i
\(237\) −12.8121 + 8.23381i −0.832232 + 0.534843i
\(238\) 6.29589 + 14.2926i 0.408102 + 0.926451i
\(239\) −16.3445 18.8626i −1.05724 1.22012i −0.974697 0.223532i \(-0.928241\pi\)
−0.0825432 0.996587i \(-0.526304\pi\)
\(240\) −3.91797 + 6.09647i −0.252904 + 0.393526i
\(241\) 2.65362 18.4564i 0.170935 1.18888i −0.705980 0.708232i \(-0.749493\pi\)
0.876915 0.480646i \(-0.159598\pi\)
\(242\) −1.81946 + 12.6546i −0.116959 + 0.813468i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 5.53550 + 6.38831i 0.354374 + 0.408969i
\(245\) 3.96787 + 9.34701i 0.253498 + 0.597159i
\(246\) 15.7805 10.1415i 1.00613 0.646597i
\(247\) −1.02891 + 3.50415i −0.0654680 + 0.222963i
\(248\) −1.80182 1.56129i −0.114416 0.0991418i
\(249\) 0.374915 + 1.27684i 0.0237593 + 0.0809166i
\(250\) 8.33051 18.2413i 0.526868 1.15368i
\(251\) −2.08156 14.4776i −0.131387 0.913818i −0.943749 0.330664i \(-0.892727\pi\)
0.812362 0.583154i \(-0.198182\pi\)
\(252\) −2.81859 0.0379774i −0.177554 0.00239235i
\(253\) −18.3595 + 9.15851i −1.15425 + 0.575790i
\(254\) −11.7107 −0.734795
\(255\) 4.84102 0.696033i 0.303156 0.0435873i
\(256\) 8.14310 17.8309i 0.508944 1.11443i
\(257\) 8.13365 + 27.7007i 0.507363 + 1.72792i 0.671055 + 0.741408i \(0.265842\pi\)
−0.163692 + 0.986512i \(0.552340\pi\)
\(258\) 0.278579 0.321497i 0.0173436 0.0200155i
\(259\) 4.25505 13.8007i 0.264396 0.857536i
\(260\) −0.538091 0.837287i −0.0333710 0.0519263i
\(261\) 0.420561 + 0.920901i 0.0260321 + 0.0570023i
\(262\) 11.9599 10.3633i 0.738884 0.640247i
\(263\) −11.3145 + 17.6058i −0.697685 + 1.08562i 0.293860 + 0.955849i \(0.405060\pi\)
−0.991544 + 0.129770i \(0.958576\pi\)
\(264\) 0.996233 6.92895i 0.0613139 0.426448i
\(265\) 8.59717 + 1.23609i 0.528120 + 0.0759322i
\(266\) −21.9065 14.4992i −1.34317 0.889002i
\(267\) 5.21271 4.51684i 0.319013 0.276426i
\(268\) −3.74339 + 1.70955i −0.228664 + 0.104427i
\(269\) −4.10146 6.38200i −0.250070 0.389117i 0.693411 0.720542i \(-0.256107\pi\)
−0.943482 + 0.331425i \(0.892471\pi\)
\(270\) −0.715543 + 2.43692i −0.0435466 + 0.148306i
\(271\) 8.25140 + 7.14987i 0.501237 + 0.434324i 0.868423 0.495823i \(-0.165134\pi\)
−0.367187 + 0.930147i \(0.619679\pi\)
\(272\) −16.1609 + 4.74528i −0.979900 + 0.287725i
\(273\) −0.728604 + 1.54016i −0.0440971 + 0.0932149i
\(274\) −19.9478 + 2.86806i −1.20509 + 0.173266i
\(275\) 12.3881i 0.747029i
\(276\) −4.57226 + 2.28085i −0.275218 + 0.137291i
\(277\) 7.36924 0.442774 0.221387 0.975186i \(-0.428942\pi\)
0.221387 + 0.975186i \(0.428942\pi\)
\(278\) 32.4080 4.65956i 1.94370 0.279462i
\(279\) −1.32538 0.605279i −0.0793481 0.0362371i
\(280\) −6.04896 + 1.68795i −0.361494 + 0.100874i
\(281\) −2.23160 1.93369i −0.133126 0.115354i 0.585753 0.810490i \(-0.300799\pi\)
−0.718879 + 0.695135i \(0.755344\pi\)
\(282\) 16.0193 + 4.70369i 0.953935 + 0.280101i
\(283\) −11.9621 + 7.68757i −0.711073 + 0.456979i −0.845521 0.533942i \(-0.820710\pi\)
0.134448 + 0.990921i \(0.457074\pi\)
\(284\) 7.25500 + 15.8862i 0.430505 + 0.942675i
\(285\) −6.21728 + 5.38730i −0.368280 + 0.319116i
\(286\) 4.05783 + 2.60781i 0.239945 + 0.154203i
\(287\) 28.0009 + 4.41175i 1.65284 + 0.260417i
\(288\) 0.779045 5.41838i 0.0459057 0.319281i
\(289\) −4.73863 3.04534i −0.278743 0.179137i
\(290\) −1.68382 1.94323i −0.0988772 0.114110i
\(291\) −6.08364 + 2.77831i −0.356629 + 0.162867i
\(292\) 3.10829 + 4.83659i 0.181899 + 0.283040i
\(293\) 8.38257 + 2.46134i 0.489715 + 0.143793i 0.517262 0.855827i \(-0.326951\pi\)
−0.0275468 + 0.999621i \(0.508770\pi\)
\(294\) −9.04275 8.27251i −0.527384 0.482463i
\(295\) 2.06678 + 7.03881i 0.120333 + 0.409816i
\(296\) 8.12454 + 3.71035i 0.472229 + 0.215660i
\(297\) −0.608836 4.23455i −0.0353283 0.245713i
\(298\) 36.3690i 2.10680i
\(299\) 0.105985 + 3.08660i 0.00612925 + 0.178502i
\(300\) 3.08515i 0.178121i
\(301\) 0.637472 0.0829047i 0.0367433 0.00477855i
\(302\) 16.4185 35.9515i 0.944780 2.06878i
\(303\) 1.38292 0.406063i 0.0794468 0.0233277i
\(304\) 18.5531 21.4114i 1.06409 1.22803i
\(305\) 11.0429 + 3.24248i 0.632312 + 0.185664i
\(306\) −4.96590 + 3.19139i −0.283882 + 0.182440i
\(307\) −14.0136 + 6.39978i −0.799796 + 0.365254i −0.773016 0.634387i \(-0.781253\pi\)
−0.0267800 + 0.999641i \(0.508525\pi\)
\(308\) −9.21936 + 7.77364i −0.525322 + 0.442944i
\(309\) 7.43355 11.5668i 0.422880 0.658014i
\(310\) 3.66293 + 0.526650i 0.208041 + 0.0299117i
\(311\) 25.9383 + 3.72936i 1.47082 + 0.211473i 0.830666 0.556770i \(-0.187960\pi\)
0.640158 + 0.768243i \(0.278869\pi\)
\(312\) −0.886460 0.569693i −0.0501859 0.0322525i
\(313\) 3.80853 + 4.39528i 0.215271 + 0.248436i 0.853107 0.521737i \(-0.174716\pi\)
−0.637836 + 0.770172i \(0.720170\pi\)
\(314\) 13.3426 + 29.2162i 0.752967 + 1.64877i
\(315\) −3.25638 + 2.03128i −0.183476 + 0.114450i
\(316\) −4.57141 + 15.5688i −0.257162 + 0.875814i
\(317\) −7.73726 + 8.92928i −0.434568 + 0.501518i −0.930220 0.367003i \(-0.880384\pi\)
0.495652 + 0.868521i \(0.334929\pi\)
\(318\) −10.0585 + 2.95343i −0.564051 + 0.165620i
\(319\) 3.93970 + 1.79920i 0.220581 + 0.100736i
\(320\) −0.0840641 0.584679i −0.00469933 0.0326845i
\(321\) −1.22918 −0.0686061
\(322\) −21.4416 5.81309i −1.19489 0.323951i
\(323\) −19.1203 −1.06388
\(324\) −0.151625 1.05458i −0.00842363 0.0585877i
\(325\) 1.69626 + 0.774654i 0.0940913 + 0.0429701i
\(326\) 23.2162 6.81689i 1.28583 0.377553i
\(327\) 2.34440 2.70559i 0.129646 0.149619i
\(328\) −4.93907 + 16.8209i −0.272714 + 0.928780i
\(329\) 13.3528 + 21.4061i 0.736164 + 1.18016i
\(330\) 4.51368 + 9.88359i 0.248470 + 0.544074i
\(331\) −8.30520 9.58472i −0.456495 0.526824i 0.480111 0.877208i \(-0.340596\pi\)
−0.936606 + 0.350384i \(0.886051\pi\)
\(332\) 1.19274 + 0.766524i 0.0654599 + 0.0420685i
\(333\) 5.40293 + 0.776824i 0.296079 + 0.0425697i
\(334\) 4.76844 + 0.685598i 0.260917 + 0.0375142i
\(335\) −3.02928 + 4.71365i −0.165507 + 0.257534i
\(336\) 10.1048 8.52021i 0.551261 0.464816i
\(337\) −0.976839 + 0.446108i −0.0532118 + 0.0243010i −0.441843 0.897092i \(-0.645675\pi\)
0.388631 + 0.921393i \(0.372948\pi\)
\(338\) −18.5368 + 11.9129i −1.00827 + 0.647976i
\(339\) 3.54002 + 1.03944i 0.192268 + 0.0564549i
\(340\) 3.41233 3.93804i 0.185059 0.213570i
\(341\) −5.98088 + 1.75614i −0.323883 + 0.0951006i
\(342\) 4.12473 9.03191i 0.223040 0.488390i
\(343\) −1.89280 18.4233i −0.102202 0.994764i
\(344\) 0.397571i 0.0214356i
\(345\) −3.55814 + 5.97817i −0.191564 + 0.321854i
\(346\) 1.72740i 0.0928655i
\(347\) 0.764596 + 5.31788i 0.0410456 + 0.285479i 0.999998 + 0.00191205i \(0.000608626\pi\)
−0.958953 + 0.283567i \(0.908482\pi\)
\(348\) 0.981148 + 0.448075i 0.0525951 + 0.0240194i
\(349\) −8.55513 29.1361i −0.457946 1.55962i −0.788011 0.615661i \(-0.788889\pi\)
0.330065 0.943958i \(-0.392929\pi\)
\(350\) −8.91987 + 10.0181i −0.476787 + 0.535491i
\(351\) −0.617893 0.181430i −0.0329807 0.00968401i
\(352\) −12.6611 19.7011i −0.674839 1.05007i
\(353\) −0.709932 + 0.324215i −0.0377859 + 0.0172562i −0.434218 0.900808i \(-0.642975\pi\)
0.396432 + 0.918064i \(0.370248\pi\)
\(354\) −5.79827 6.69156i −0.308174 0.355652i
\(355\) 20.0039 + 12.8557i 1.06170 + 0.682310i
\(356\) 1.04582 7.27385i 0.0554284 0.385513i
\(357\) −8.81151 1.38832i −0.466355 0.0734777i
\(358\) 1.88729 + 1.21289i 0.0997466 + 0.0641033i
\(359\) 16.3227 14.1437i 0.861479 0.746476i −0.107346 0.994222i \(-0.534235\pi\)
0.968825 + 0.247746i \(0.0796898\pi\)
\(360\) −0.986044 2.15914i −0.0519691 0.113796i
\(361\) 11.0722 7.11568i 0.582748 0.374509i
\(362\) −17.6198 5.17364i −0.926076 0.271921i
\(363\) −5.51854 4.78184i −0.289648 0.250982i
\(364\) 0.487910 + 1.74848i 0.0255734 + 0.0916451i
\(365\) 7.12050 + 3.25182i 0.372704 + 0.170208i
\(366\) −13.7495 + 1.97689i −0.718700 + 0.103333i
\(367\) 22.8047 1.19040 0.595198 0.803579i \(-0.297074\pi\)
0.595198 + 0.803579i \(0.297074\pi\)
\(368\) 9.19903 22.1222i 0.479532 1.15320i
\(369\) 10.7139i 0.557743i
\(370\) −13.7223 + 1.97297i −0.713390 + 0.102570i
\(371\) −14.3199 6.77431i −0.743452 0.351705i
\(372\) −1.48949 + 0.437353i −0.0772263 + 0.0226757i
\(373\) 21.0360 + 18.2278i 1.08920 + 0.943799i 0.998642 0.0520916i \(-0.0165888\pi\)
0.0905602 + 0.995891i \(0.471134\pi\)
\(374\) −7.11473 + 24.2306i −0.367894 + 1.25293i
\(375\) 6.19232 + 9.63543i 0.319770 + 0.497572i
\(376\) −14.1933 + 6.48185i −0.731963 + 0.334276i
\(377\) 0.492716 0.426941i 0.0253762 0.0219886i
\(378\) 2.55667 3.86282i 0.131501 0.198682i
\(379\) 33.8906 + 4.87273i 1.74084 + 0.250295i 0.938182 0.346143i \(-0.112509\pi\)
0.802659 + 0.596438i \(0.203418\pi\)
\(380\) −1.24737 + 8.67563i −0.0639886 + 0.445050i
\(381\) 3.61615 5.62684i 0.185261 0.288272i
\(382\) 17.4356 15.1080i 0.892081 0.772992i
\(383\) 10.5026 + 22.9974i 0.536656 + 1.17511i 0.962740 + 0.270430i \(0.0871657\pi\)
−0.426083 + 0.904684i \(0.640107\pi\)
\(384\) 6.30448 + 9.80997i 0.321724 + 0.500613i
\(385\) −4.83766 + 15.6904i −0.246550 + 0.799656i
\(386\) 4.48667 5.17789i 0.228365 0.263548i
\(387\) 0.0684528 + 0.233129i 0.00347965 + 0.0118506i
\(388\) −2.96007 + 6.48165i −0.150275 + 0.329056i
\(389\) −16.7978 + 2.41516i −0.851682 + 0.122453i −0.554312 0.832309i \(-0.687019\pi\)
−0.297370 + 0.954762i \(0.596110\pi\)
\(390\) 1.63558 0.0828206
\(391\) −15.3488 + 5.08513i −0.776224 + 0.257166i
\(392\) 11.4499 + 0.308606i 0.578306 + 0.0155869i
\(393\) 1.28633 + 8.94665i 0.0648870 + 0.451299i
\(394\) 16.4132 35.9399i 0.826885 1.81063i
\(395\) 6.22418 + 21.1976i 0.313173 + 1.06657i
\(396\) −3.44469 2.98484i −0.173102 0.149994i
\(397\) 6.24256 21.2602i 0.313305 1.06702i −0.640840 0.767674i \(-0.721414\pi\)
0.954145 0.299345i \(-0.0967680\pi\)
\(398\) 7.97209 5.12335i 0.399605 0.256810i
\(399\) 13.7312 6.04859i 0.687419 0.302808i
\(400\) −9.47329 10.9328i −0.473665 0.546638i
\(401\) 8.62873 13.4266i 0.430898 0.670491i −0.556120 0.831102i \(-0.687710\pi\)
0.987018 + 0.160612i \(0.0513467\pi\)
\(402\) 0.962437 6.69390i 0.0480020 0.333861i
\(403\) −0.133535 + 0.928756i −0.00665185 + 0.0462646i
\(404\) 0.830207 1.29183i 0.0413044 0.0642708i
\(405\) −0.949954 1.09631i −0.0472036 0.0544759i
\(406\) 1.89051 + 4.29172i 0.0938242 + 0.212995i
\(407\) 19.6449 12.6250i 0.973761 0.625798i
\(408\) 1.55426 5.29333i 0.0769474 0.262059i
\(409\) −13.8812 12.0282i −0.686383 0.594754i 0.240255 0.970710i \(-0.422769\pi\)
−0.926638 + 0.375956i \(0.877314\pi\)
\(410\) −7.66626 26.1089i −0.378609 1.28943i
\(411\) 4.78162 10.4703i 0.235860 0.516461i
\(412\) −2.08478 14.4999i −0.102709 0.714360i
\(413\) 0.180264 13.3787i 0.00887019 0.658322i
\(414\) 0.909057 8.34735i 0.0446777 0.410250i
\(415\) 1.93041 0.0947600
\(416\) −3.48932 + 0.501689i −0.171078 + 0.0245973i
\(417\) −7.76841 + 17.0104i −0.380421 + 0.833005i
\(418\) −11.9674 40.7573i −0.585346 1.99351i
\(419\) −25.2639 + 29.1561i −1.23422 + 1.42437i −0.364223 + 0.931312i \(0.618665\pi\)
−0.869998 + 0.493055i \(0.835880\pi\)
\(420\) −1.20478 + 3.90756i −0.0587872 + 0.190669i
\(421\) 8.11211 + 12.6227i 0.395360 + 0.615193i 0.980682 0.195608i \(-0.0626682\pi\)
−0.585322 + 0.810801i \(0.699032\pi\)
\(422\) 9.19427 + 20.1326i 0.447570 + 0.980042i
\(423\) −7.20667 + 6.24461i −0.350400 + 0.303623i
\(424\) 5.29681 8.24200i 0.257236 0.400267i
\(425\) −1.38941 + 9.66356i −0.0673963 + 0.468751i
\(426\) −28.4077 4.08441i −1.37636 0.197890i
\(427\) −17.5043 11.5855i −0.847094 0.560663i
\(428\) −0.989726 + 0.857602i −0.0478402 + 0.0414538i
\(429\) −2.50604 + 1.14447i −0.120993 + 0.0552555i
\(430\) −0.333627 0.519134i −0.0160889 0.0250349i
\(431\) −4.87681 + 16.6089i −0.234908 + 0.800022i 0.754680 + 0.656093i \(0.227792\pi\)
−0.989588 + 0.143929i \(0.954026\pi\)
\(432\) 3.77551 + 3.27150i 0.181649 + 0.157400i
\(433\) 6.84574 2.01009i 0.328985 0.0965988i −0.113069 0.993587i \(-0.536068\pi\)
0.442054 + 0.896988i \(0.354250\pi\)
\(434\) −6.10117 2.88628i −0.292865 0.138546i
\(435\) 1.45364 0.209002i 0.0696968 0.0100209i
\(436\) 3.81421i 0.182668i
\(437\) 17.0949 21.1538i 0.817758 1.01192i
\(438\) −9.44792 −0.451439
\(439\) 31.8093 4.57348i 1.51817 0.218280i 0.667753 0.744383i \(-0.267256\pi\)
0.850421 + 0.526103i \(0.176347\pi\)
\(440\) −9.23698 4.21839i −0.440356 0.201104i
\(441\) 6.76715 1.79045i 0.322245 0.0852596i
\(442\) 2.87290 + 2.48939i 0.136650 + 0.118408i
\(443\) −0.357814 0.105064i −0.0170003 0.00499173i 0.273221 0.961951i \(-0.411911\pi\)
−0.290222 + 0.956959i \(0.593729\pi\)
\(444\) 4.89239 3.14415i 0.232183 0.149215i
\(445\) −4.15644 9.10133i −0.197034 0.431445i
\(446\) 27.8294 24.1143i 1.31776 1.14185i
\(447\) −17.4748 11.2304i −0.826531 0.531179i
\(448\) −0.167676 + 1.06422i −0.00792193 + 0.0502796i
\(449\) −3.68759 + 25.6478i −0.174028 + 1.21039i 0.696238 + 0.717811i \(0.254856\pi\)
−0.870266 + 0.492582i \(0.836053\pi\)
\(450\) −4.26507 2.74099i −0.201057 0.129212i
\(451\) 30.0156 + 34.6398i 1.41338 + 1.63113i
\(452\) 3.57562 1.63293i 0.168183 0.0768067i
\(453\) 12.2044 + 18.9904i 0.573412 + 0.892246i
\(454\) 16.7586 + 4.92077i 0.786521 + 0.230943i
\(455\) 1.84592 + 1.64356i 0.0865380 + 0.0770512i
\(456\) 2.61436 + 8.90371i 0.122429 + 0.416954i
\(457\) 14.4616 + 6.60440i 0.676486 + 0.308941i 0.723870 0.689936i \(-0.242361\pi\)
−0.0473846 + 0.998877i \(0.515089\pi\)
\(458\) 1.80436 + 12.5496i 0.0843121 + 0.586404i
\(459\) 3.37152i 0.157369i
\(460\) 1.30600 + 7.29610i 0.0608924 + 0.340183i
\(461\) 10.9991i 0.512277i −0.966640 0.256139i \(-0.917550\pi\)
0.966640 0.256139i \(-0.0824504\pi\)
\(462\) −2.55576 19.6518i −0.118905 0.914284i
\(463\) −10.3529 + 22.6696i −0.481139 + 1.05355i 0.501010 + 0.865442i \(0.332962\pi\)
−0.982149 + 0.188106i \(0.939765\pi\)
\(464\) −4.85274 + 1.42489i −0.225283 + 0.0661490i
\(465\) −1.38413 + 1.59737i −0.0641873 + 0.0740761i
\(466\) −45.6963 13.4176i −2.11684 0.621560i
\(467\) 20.8776 13.4172i 0.966098 0.620874i 0.0404191 0.999183i \(-0.487131\pi\)
0.925679 + 0.378309i \(0.123494\pi\)
\(468\) −0.624107 + 0.285020i −0.0288494 + 0.0131751i
\(469\) 7.81278 6.58763i 0.360761 0.304189i
\(470\) 13.0938 20.3743i 0.603970 0.939795i
\(471\) −18.1581 2.61074i −0.836681 0.120297i
\(472\) 8.19071 + 1.17765i 0.377008 + 0.0542055i
\(473\) 0.874442 + 0.561970i 0.0402069 + 0.0258394i
\(474\) −17.4617 20.1518i −0.802041 0.925605i
\(475\) −6.82189 14.9379i −0.313010 0.685396i
\(476\) −8.06360 + 5.02996i −0.369595 + 0.230548i
\(477\) 1.68687 5.74496i 0.0772366 0.263044i
\(478\) 28.6166 33.0253i 1.30889 1.51054i
\(479\) −31.7749 + 9.32994i −1.45183 + 0.426296i −0.910146 0.414287i \(-0.864031\pi\)
−0.541684 + 0.840582i \(0.682213\pi\)
\(480\) −7.22324 3.29874i −0.329694 0.150566i
\(481\) −0.500259 3.47937i −0.0228098 0.158646i
\(482\) 32.6463 1.48700
\(483\) 9.41406 8.50737i 0.428355 0.387099i
\(484\) −7.77979 −0.353627
\(485\) 1.38071 + 9.60304i 0.0626947 + 0.436051i
\(486\) 1.59262 + 0.727323i 0.0722425 + 0.0329920i
\(487\) 23.8293 6.99693i 1.07981 0.317061i 0.307008 0.951707i \(-0.400672\pi\)
0.772803 + 0.634646i \(0.218854\pi\)
\(488\) 8.50150 9.81125i 0.384845 0.444135i
\(489\) −3.89351 + 13.2601i −0.176071 + 0.599642i
\(490\) −15.2098 + 9.20537i −0.687110 + 0.415856i
\(491\) −6.82832 14.9519i −0.308158 0.674771i 0.690670 0.723170i \(-0.257316\pi\)
−0.998828 + 0.0483984i \(0.984588\pi\)
\(492\) 7.47512 + 8.62675i 0.337004 + 0.388924i
\(493\) 2.87144 + 1.84537i 0.129323 + 0.0831111i
\(494\) −6.32911 0.909988i −0.284760 0.0409423i
\(495\) −6.14272 0.883190i −0.276095 0.0396964i
\(496\) 3.93532 6.12348i 0.176701 0.274952i
\(497\) −27.9567 33.1560i −1.25403 1.48725i
\(498\) −2.11937 + 0.967883i −0.0949711 + 0.0433719i
\(499\) −9.42766 + 6.05879i −0.422040 + 0.271229i −0.734376 0.678743i \(-0.762525\pi\)
0.312336 + 0.949972i \(0.398889\pi\)
\(500\) 11.7087 + 3.43798i 0.523628 + 0.153751i
\(501\) −1.80187 + 2.07947i −0.0805015 + 0.0929037i
\(502\) 24.5712 7.21476i 1.09667 0.322010i
\(503\) −3.44939 + 7.55311i −0.153801 + 0.336777i −0.970811 0.239847i \(-0.922903\pi\)
0.817010 + 0.576624i \(0.195630\pi\)
\(504\) 0.558324 + 4.29307i 0.0248697 + 0.191228i
\(505\) 2.09079i 0.0930388i
\(506\) −20.4464 29.5352i −0.908955 1.31300i
\(507\) 12.5853i 0.558932i
\(508\) −1.01417 7.05369i −0.0449964 0.312957i
\(509\) −20.9577 9.57105i −0.928933 0.424229i −0.107287 0.994228i \(-0.534216\pi\)
−0.821646 + 0.569999i \(0.806944\pi\)
\(510\) 2.41247 + 8.21612i 0.106826 + 0.363816i
\(511\) −10.6630 9.49403i −0.471702 0.419991i
\(512\) 10.5527 + 3.09854i 0.466366 + 0.136937i
\(513\) 3.06604 + 4.77085i 0.135369 + 0.210638i
\(514\) −45.9790 + 20.9979i −2.02804 + 0.926177i
\(515\) −13.0614 15.0737i −0.575554 0.664225i
\(516\) 0.217772 + 0.139954i 0.00958689 + 0.00616112i
\(517\) −5.80573 + 40.3797i −0.255336 + 1.77590i
\(518\) 24.9771 + 3.93533i 1.09743 + 0.172908i
\(519\) −0.829992 0.533404i −0.0364326 0.0234138i
\(520\) −1.15522 + 1.00100i −0.0506597 + 0.0438968i
\(521\) 3.02606 + 6.62614i 0.132574 + 0.290297i 0.964264 0.264944i \(-0.0853535\pi\)
−0.831690 + 0.555241i \(0.812626\pi\)
\(522\) −1.49114 + 0.958299i −0.0652655 + 0.0419436i
\(523\) −34.5271 10.1381i −1.50977 0.443307i −0.580978 0.813919i \(-0.697330\pi\)
−0.928788 + 0.370612i \(0.879148\pi\)
\(524\) 7.27786 + 6.30630i 0.317935 + 0.275492i
\(525\) −2.05921 7.37938i −0.0898711 0.322063i
\(526\) −33.3303 15.2214i −1.45327 0.663686i
\(527\) −4.86246 + 0.699117i −0.211812 + 0.0304540i
\(528\) 21.3722 0.930104
\(529\) 8.09697 21.5276i 0.352042 0.935984i
\(530\) 15.2070i 0.660551i
\(531\) 5.00565 0.719704i 0.217227 0.0312325i
\(532\) 6.83613 14.4506i 0.296384 0.626512i
\(533\) 6.62005 1.94382i 0.286746 0.0841962i
\(534\) 9.12659 + 7.90824i 0.394946 + 0.342223i
\(535\) −0.502349 + 1.71085i −0.0217185 + 0.0739663i
\(536\) 3.41701 + 5.31697i 0.147592 + 0.229658i
\(537\) −1.16556 + 0.532292i −0.0502975 + 0.0229701i
\(538\) 10.0381 8.69809i 0.432774 0.375001i
\(539\) 16.8633 24.7474i 0.726352 1.06594i
\(540\) −1.52979 0.219951i −0.0658318 0.00946518i
\(541\) −2.70557 + 18.8177i −0.116322 + 0.809034i 0.845229 + 0.534405i \(0.179464\pi\)
−0.961550 + 0.274629i \(0.911445\pi\)
\(542\) −10.3348 + 16.0813i −0.443919 + 0.690752i
\(543\) 7.92669 6.86852i 0.340167 0.294756i
\(544\) −7.66692 16.7882i −0.328717 0.719789i
\(545\) −2.80767 4.36882i −0.120267 0.187140i
\(546\) −2.85067 0.878919i −0.121997 0.0376143i
\(547\) −0.516558 + 0.596140i −0.0220864 + 0.0254891i −0.766685 0.642023i \(-0.778095\pi\)
0.744599 + 0.667512i \(0.232641\pi\)
\(548\) −3.45503 11.7667i −0.147592 0.502651i
\(549\) 3.29586 7.21692i 0.140664 0.308011i
\(550\) −21.4687 + 3.08674i −0.915429 + 0.131619i
\(551\) −5.74137 −0.244591
\(552\) 4.46666 + 6.45215i 0.190114 + 0.274622i
\(553\) 0.542870 40.2904i 0.0230852 1.71332i
\(554\) 1.83619 + 12.7710i 0.0780123 + 0.542587i
\(555\) 3.28934 7.20264i 0.139625 0.305735i
\(556\) 5.61318 + 19.1167i 0.238052 + 0.810730i
\(557\) −1.34739 1.16752i −0.0570906 0.0494693i 0.625848 0.779945i \(-0.284753\pi\)
−0.682939 + 0.730476i \(0.739298\pi\)
\(558\) 0.718713 2.44771i 0.0304255 0.103620i
\(559\) 0.131629 0.0845930i 0.00556733 0.00357790i
\(560\) −7.72925 17.5465i −0.326620 0.741476i
\(561\) −9.44551 10.9007i −0.398790 0.460228i
\(562\) 2.79507 4.34921i 0.117903 0.183460i
\(563\) 4.32521 30.0825i 0.182286 1.26783i −0.669055 0.743213i \(-0.733301\pi\)
0.851341 0.524613i \(-0.175790\pi\)
\(564\) −1.44587 + 10.0562i −0.0608820 + 0.423444i
\(565\) 2.89352 4.50241i 0.121731 0.189418i
\(566\) −16.3033 18.8150i −0.685277 0.790852i
\(567\) 1.06656 + 2.42125i 0.0447913 + 0.101683i
\(568\) 22.5643 14.5012i 0.946775 0.608456i
\(569\) −4.78037 + 16.2805i −0.200404 + 0.682512i 0.796554 + 0.604567i \(0.206654\pi\)
−0.996958 + 0.0779449i \(0.975164\pi\)
\(570\) −10.8854 9.43227i −0.455940 0.395074i
\(571\) 2.57295 + 8.76265i 0.107674 + 0.366705i 0.995649 0.0931881i \(-0.0297058\pi\)
−0.887974 + 0.459893i \(0.847888\pi\)
\(572\) −1.21934 + 2.66999i −0.0509833 + 0.111638i
\(573\) 1.87527 + 13.0428i 0.0783404 + 0.544869i
\(574\) −0.668646 + 49.6252i −0.0279088 + 2.07132i
\(575\) −9.44906 10.1771i −0.394053 0.424412i
\(576\) −0.407199 −0.0169666
\(577\) −8.28649 + 1.19142i −0.344971 + 0.0495994i −0.312623 0.949877i \(-0.601208\pi\)
−0.0323481 + 0.999477i \(0.510299\pi\)
\(578\) 4.09688 8.97092i 0.170408 0.373141i
\(579\) 1.10247 + 3.75467i 0.0458171 + 0.156039i
\(580\) 1.02464 1.18250i 0.0425459 0.0491006i
\(581\) −3.36454 1.03735i −0.139584 0.0430367i
\(582\) −6.33070 9.85077i −0.262416 0.408327i
\(583\) −10.6409 23.3003i −0.440700 0.964999i
\(584\) 6.67313 5.78230i 0.276136 0.239273i
\(585\) −0.505050 + 0.785873i −0.0208812 + 0.0324918i
\(586\) −2.17686 + 15.1404i −0.0899253 + 0.625444i
\(587\) −28.6078 4.11318i −1.18077 0.169769i −0.476157 0.879360i \(-0.657971\pi\)
−0.704613 + 0.709591i \(0.748880\pi\)
\(588\) 4.19965 6.16312i 0.173191 0.254163i
\(589\) 6.24482 5.41116i 0.257313 0.222963i
\(590\) −11.6834 + 5.33562i −0.480997 + 0.219664i
\(591\) 12.2004 + 18.9842i 0.501858 + 0.780906i
\(592\) −7.68259 + 26.1645i −0.315752 + 1.07535i
\(593\) 17.2049 + 14.9081i 0.706519 + 0.612202i 0.932176 0.362005i \(-0.117908\pi\)
−0.225658 + 0.974207i \(0.572453\pi\)
\(594\) 7.18683 2.11024i 0.294879 0.0865843i
\(595\) −5.53350 + 11.6970i −0.226851 + 0.479530i
\(596\) −21.9061 + 3.14962i −0.897308 + 0.129013i
\(597\) 5.41253i 0.221520i
\(598\) −5.32271 + 0.952759i −0.217662 + 0.0389612i
\(599\) −1.67618 −0.0684869 −0.0342434 0.999414i \(-0.510902\pi\)
−0.0342434 + 0.999414i \(0.510902\pi\)
\(600\) 4.68998 0.674318i 0.191468 0.0275289i
\(601\) −1.18356 0.540514i −0.0482784 0.0220480i 0.391129 0.920336i \(-0.372084\pi\)
−0.439408 + 0.898288i \(0.644812\pi\)
\(602\) 0.302514 + 1.08409i 0.0123295 + 0.0441842i
\(603\) 2.91914 + 2.52945i 0.118877 + 0.103007i
\(604\) 23.0765 + 6.77588i 0.938970 + 0.275707i
\(605\) −8.91101 + 5.72676i −0.362284 + 0.232826i
\(606\) 1.04829 + 2.29545i 0.0425841 + 0.0932461i
\(607\) −19.5103 + 16.9058i −0.791900 + 0.686185i −0.953740 0.300632i \(-0.902802\pi\)
0.161840 + 0.986817i \(0.448257\pi\)
\(608\) 26.1161 + 16.7838i 1.05915 + 0.680672i
\(609\) −2.64589 0.416879i −0.107217 0.0168928i
\(610\) −2.86771 + 19.9454i −0.116110 + 0.807564i
\(611\) 5.16601 + 3.31999i 0.208994 + 0.134313i
\(612\) −2.35232 2.71473i −0.0950870 0.109736i
\(613\) −6.60590 + 3.01681i −0.266810 + 0.121848i −0.544328 0.838872i \(-0.683215\pi\)
0.277518 + 0.960720i \(0.410488\pi\)
\(614\) −14.5827 22.6911i −0.588508 0.915736i
\(615\) 14.9122 + 4.37863i 0.601320 + 0.176563i
\(616\) 13.8324 + 12.3160i 0.557324 + 0.496227i
\(617\) 13.5051 + 45.9940i 0.543693 + 1.85165i 0.523792 + 0.851846i \(0.324517\pi\)
0.0199010 + 0.999802i \(0.493665\pi\)
\(618\) 21.8977 + 10.0003i 0.880854 + 0.402273i
\(619\) 3.61778 + 25.1622i 0.145411 + 1.01136i 0.923609 + 0.383337i \(0.125225\pi\)
−0.778198 + 0.628019i \(0.783866\pi\)
\(620\) 2.25190i 0.0904384i
\(621\) 3.73009 + 3.01437i 0.149683 + 0.120963i
\(622\) 45.8806i 1.83965i
\(623\) 2.35348 + 18.0964i 0.0942903 + 0.725018i
\(624\) 1.33645 2.92641i 0.0535007 0.117150i
\(625\) 2.04986 0.601894i 0.0819945 0.0240758i
\(626\) −6.66811 + 7.69541i −0.266511 + 0.307570i
\(627\) 23.2788 + 6.83527i 0.929666 + 0.272974i
\(628\) −16.4423 + 10.5668i −0.656119 + 0.421662i
\(629\) 16.7403 7.64506i 0.667481 0.304829i
\(630\) −4.33163 5.13721i −0.172576 0.204671i
\(631\) −16.5871 + 25.8100i −0.660320 + 1.02748i 0.336008 + 0.941859i \(0.390923\pi\)
−0.996328 + 0.0856191i \(0.972713\pi\)
\(632\) 24.6666 + 3.54652i 0.981184 + 0.141073i
\(633\) −12.5126 1.79904i −0.497330 0.0715053i
\(634\) −17.4025 11.1839i −0.691140 0.444169i
\(635\) −6.35390 7.33279i −0.252147 0.290993i
\(636\) −2.65002 5.80273i −0.105080 0.230093i
\(637\) −2.33407 3.85653i −0.0924792 0.152801i
\(638\) −2.13639 + 7.27586i −0.0845803 + 0.288054i
\(639\) 10.7345 12.3883i 0.424651 0.490073i
\(640\) 16.2307 4.76575i 0.641573 0.188383i
\(641\) −24.0599 10.9878i −0.950308 0.433991i −0.120919 0.992662i \(-0.538584\pi\)
−0.829389 + 0.558671i \(0.811311\pi\)
\(642\) −0.306274 2.13018i −0.0120877 0.0840717i
\(643\) −7.35411 −0.290018 −0.145009 0.989430i \(-0.546321\pi\)
−0.145009 + 0.989430i \(0.546321\pi\)
\(644\) 1.64451 13.4183i 0.0648028 0.528755i
\(645\) 0.352458 0.0138780
\(646\) −4.76420 33.1358i −0.187445 1.30371i
\(647\) 0.612007 + 0.279494i 0.0240605 + 0.0109880i 0.427409 0.904058i \(-0.359426\pi\)
−0.403348 + 0.915046i \(0.632154\pi\)
\(648\) −1.57001 + 0.460996i −0.0616758 + 0.0181097i
\(649\) 14.1678 16.3505i 0.556136 0.641815i
\(650\) −0.919831 + 3.13266i −0.0360787 + 0.122873i
\(651\) 3.27080 2.04028i 0.128193 0.0799648i
\(652\) 6.11658 + 13.3934i 0.239544 + 0.524527i
\(653\) 3.35217 + 3.86861i 0.131181 + 0.151391i 0.817540 0.575872i \(-0.195338\pi\)
−0.686359 + 0.727263i \(0.740792\pi\)
\(654\) 5.27297 + 3.38873i 0.206189 + 0.132510i
\(655\) 12.9782 + 1.86598i 0.507100 + 0.0729100i
\(656\) −52.9788 7.61721i −2.06848 0.297402i
\(657\) 2.91743 4.53960i 0.113820 0.177107i
\(658\) −33.7699 + 28.4744i −1.31649 + 1.11005i
\(659\) 12.0470 5.50166i 0.469283 0.214314i −0.166715 0.986005i \(-0.553316\pi\)
0.635998 + 0.771691i \(0.280589\pi\)
\(660\) −5.56228 + 3.57466i −0.216511 + 0.139143i
\(661\) 40.0187 + 11.7506i 1.55655 + 0.457044i 0.943050 0.332652i \(-0.107943\pi\)
0.613499 + 0.789696i \(0.289762\pi\)
\(662\) 14.5410 16.7813i 0.565154 0.652222i
\(663\) −2.08324 + 0.611695i −0.0809064 + 0.0237563i
\(664\) 0.904562 1.98071i 0.0351038 0.0768666i
\(665\) −2.80703 21.5839i −0.108852 0.836986i
\(666\) 9.55691i 0.370323i
\(667\) −4.60889 + 1.52694i −0.178457 + 0.0591234i
\(668\) 2.93154i 0.113425i
\(669\) 2.99317 + 20.8179i 0.115723 + 0.804868i
\(670\) −8.92363 4.07529i −0.344750 0.157442i
\(671\) −9.56254 32.5670i −0.369158 1.25724i
\(672\) 10.8168 + 9.63102i 0.417268 + 0.371525i
\(673\) 32.0631 + 9.41457i 1.23594 + 0.362905i 0.833489 0.552536i \(-0.186340\pi\)
0.402452 + 0.915441i \(0.368158\pi\)
\(674\) −1.01651 1.58172i −0.0391545 0.0609256i
\(675\) 2.63402 1.20292i 0.101384 0.0463003i
\(676\) −8.78080 10.1336i −0.337723 0.389753i
\(677\) −22.9860 14.7722i −0.883423 0.567741i 0.0184079 0.999831i \(-0.494140\pi\)
−0.901831 + 0.432089i \(0.857777\pi\)
\(678\) −0.919305 + 6.39391i −0.0353057 + 0.245557i
\(679\) 2.75398 17.4792i 0.105688 0.670791i
\(680\) −6.73236 4.32663i −0.258174 0.165919i
\(681\) −7.53927 + 6.53281i −0.288905 + 0.250338i
\(682\) −4.53368 9.92737i −0.173603 0.380139i
\(683\) −9.37917 + 6.02763i −0.358884 + 0.230641i −0.707641 0.706573i \(-0.750240\pi\)
0.348756 + 0.937213i \(0.386604\pi\)
\(684\) 5.79739 + 1.70227i 0.221669 + 0.0650878i
\(685\) −12.6190 10.9344i −0.482147 0.417782i
\(686\) 31.4562 7.87077i 1.20100 0.300507i
\(687\) −6.58708 3.00822i −0.251313 0.114771i
\(688\) −1.20146 + 0.172744i −0.0458052 + 0.00658579i
\(689\) −3.85582 −0.146895
\(690\) −11.2468 4.67673i −0.428159 0.178040i
\(691\) 30.1286i 1.14615i 0.819505 + 0.573073i \(0.194249\pi\)
−0.819505 + 0.573073i \(0.805751\pi\)
\(692\) −1.04046 + 0.149596i −0.0395524 + 0.00568678i
\(693\) 10.2316 + 4.84027i 0.388668 + 0.183867i
\(694\) −9.02544 + 2.65011i −0.342601 + 0.100597i
\(695\) 20.5013 + 17.7645i 0.777659 + 0.673845i
\(696\) 0.466708 1.58946i 0.0176905 0.0602483i
\(697\) 19.5291 + 30.3879i 0.739718 + 1.15102i
\(698\) 48.3616 22.0860i 1.83051 0.835967i
\(699\) 20.5576 17.8132i 0.777558 0.673758i
\(700\) −6.80668 4.50511i −0.257268 0.170277i
\(701\) −26.7322 3.84352i −1.00966 0.145168i −0.382418 0.923990i \(-0.624908\pi\)
−0.627245 + 0.778822i \(0.715818\pi\)
\(702\) 0.160460 1.11602i 0.00605618 0.0421216i
\(703\) −16.7359 + 26.0416i −0.631208 + 0.982178i
\(704\) −1.31654 + 1.14079i −0.0496191 + 0.0429952i
\(705\) 5.74635 + 12.5828i 0.216420 + 0.473894i
\(706\) −0.738763 1.14954i −0.0278037 0.0432634i
\(707\) −1.12354 + 3.64406i −0.0422550 + 0.137049i
\(708\) 3.52838 4.07196i 0.132604 0.153034i
\(709\) −8.90032 30.3117i −0.334259 1.13838i −0.939560 0.342384i \(-0.888766\pi\)
0.605302 0.795996i \(-0.293053\pi\)
\(710\) −17.2948 + 37.8703i −0.649061 + 1.42125i
\(711\) 15.0747 2.16741i 0.565345 0.0812844i
\(712\) −11.2862 −0.422967
\(713\) 3.57390 6.00465i 0.133844 0.224876i
\(714\) 0.210414 15.6164i 0.00787456 0.584429i
\(715\) 0.568756 + 3.95578i 0.0212703 + 0.147938i
\(716\) −0.567116 + 1.24181i −0.0211941 + 0.0464086i
\(717\) 7.03170 + 23.9478i 0.262604 + 0.894346i
\(718\) 28.5784 + 24.7633i 1.06653 + 0.924157i
\(719\) 7.98611 27.1982i 0.297832 1.01432i −0.665587 0.746320i \(-0.731819\pi\)
0.963419 0.268001i \(-0.0863632\pi\)
\(720\) 6.09647 3.91797i 0.227202 0.146014i
\(721\) 14.6647 + 33.2910i 0.546142 + 1.23982i
\(722\) 15.0904 + 17.4153i 0.561608 + 0.648130i
\(723\) −10.0809 + 15.6861i −0.374911 + 0.583374i
\(724\) 1.59033 11.0610i 0.0591040 0.411077i
\(725\) −0.417207 + 2.90174i −0.0154947 + 0.107768i
\(726\) 6.91195 10.7552i 0.256526 0.399163i
\(727\) 30.0121 + 34.6358i 1.11309 + 1.28457i 0.954823 + 0.297174i \(0.0960441\pi\)
0.158263 + 0.987397i \(0.449410\pi\)
\(728\) 2.55136 1.12387i 0.0945597 0.0416536i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −3.86124 + 13.1502i −0.142911 + 0.486710i
\(731\) 0.619096 + 0.536450i 0.0228981 + 0.0198413i
\(732\) −2.38147 8.11054i −0.0880216 0.299774i
\(733\) −5.13364 + 11.2411i −0.189615 + 0.415199i −0.980433 0.196852i \(-0.936928\pi\)
0.790818 + 0.612051i \(0.209655\pi\)
\(734\) 5.68224 + 39.5209i 0.209735 + 1.45874i
\(735\) 0.273588 10.1507i 0.0100914 0.374412i
\(736\) 25.4284 + 6.52751i 0.937304 + 0.240607i
\(737\) 16.5245 0.608686
\(738\) −18.5673 + 2.66958i −0.683473 + 0.0982686i
\(739\) −7.30753 + 16.0013i −0.268812 + 0.588616i −0.995111 0.0987629i \(-0.968511\pi\)
0.726299 + 0.687379i \(0.241239\pi\)
\(740\) −2.37676 8.09449i −0.0873714 0.297560i
\(741\) 2.39160 2.76006i 0.0878578 0.101393i
\(742\) 8.17188 26.5045i 0.299999 0.973012i
\(743\) 11.3653 + 17.6848i 0.416954 + 0.648793i 0.984669 0.174432i \(-0.0558089\pi\)
−0.567715 + 0.823225i \(0.692173\pi\)
\(744\) 0.990412 + 2.16870i 0.0363103 + 0.0795084i
\(745\) −22.7729 + 19.7328i −0.834333 + 0.722954i
\(746\) −26.3475 + 40.9975i −0.964650 + 1.50102i
\(747\) 0.189385 1.31720i 0.00692923 0.0481939i
\(748\) −15.2109 2.18700i −0.556166 0.0799646i
\(749\) 1.79492 2.71191i 0.0655849 0.0990909i
\(750\) −15.1554 + 13.1322i −0.553397 + 0.479521i
\(751\) −19.0553 + 8.70224i −0.695336 + 0.317549i −0.731543 0.681795i \(-0.761200\pi\)
0.0362072 + 0.999344i \(0.488472\pi\)
\(752\) −25.7551 40.0757i −0.939192 1.46141i
\(753\) −4.12075 + 14.0340i −0.150169 + 0.511427i
\(754\) 0.862665 + 0.747503i 0.0314164 + 0.0272225i
\(755\) 31.4197 9.22566i 1.14348 0.335756i
\(756\) 2.54810 + 1.20543i 0.0926735 + 0.0438410i
\(757\) −24.6354 + 3.54203i −0.895388 + 0.128737i −0.574620 0.818420i \(-0.694850\pi\)
−0.320768 + 0.947158i \(0.603941\pi\)
\(758\) 59.9469i 2.17737i
\(759\) 20.5049 0.704079i 0.744282 0.0255564i
\(760\) 13.4612 0.488288
\(761\) 5.17784 0.744461i 0.187697 0.0269867i −0.0478254 0.998856i \(-0.515229\pi\)
0.235522 + 0.971869i \(0.424320\pi\)
\(762\) 10.6524 + 4.86480i 0.385897 + 0.176233i
\(763\) 2.54583 + 9.12325i 0.0921652 + 0.330284i
\(764\) 10.6099 + 9.19355i 0.383854 + 0.332611i
\(765\) −4.69269 1.37790i −0.169665 0.0498180i
\(766\) −37.2379 + 23.9314i −1.34546 + 0.864675i
\(767\) −1.35288 2.96239i −0.0488495 0.106966i
\(768\) −14.8144 + 12.8368i −0.534570 + 0.463208i
\(769\) 20.5975 + 13.2372i 0.742764 + 0.477346i 0.856488 0.516167i \(-0.172642\pi\)
−0.113724 + 0.993512i \(0.536278\pi\)
\(770\) −28.3971 4.47417i −1.02336 0.161238i
\(771\) 4.10864 28.5762i 0.147969 1.02915i
\(772\) 3.50735 + 2.25403i 0.126232 + 0.0811245i
\(773\) −4.49022 5.18199i −0.161502 0.186383i 0.669231 0.743055i \(-0.266624\pi\)
−0.830733 + 0.556671i \(0.812078\pi\)
\(774\) −0.386959 + 0.176718i −0.0139090