Properties

Label 138.2.f.a.11.3
Level $138$
Weight $2$
Character 138.11
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.29667 - 1.14833i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-1.43749 + 0.422085i) q^{5} +(-1.66706 - 0.469995i) q^{6} +(3.34037 - 2.89445i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.362698 - 2.97799i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(1.29667 - 1.14833i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-1.43749 + 0.422085i) q^{5} +(-1.66706 - 0.469995i) q^{6} +(3.34037 - 2.89445i) q^{7} +(0.989821 - 0.142315i) q^{8} +(0.362698 - 2.97799i) q^{9} +(1.13225 + 0.981098i) q^{10} +(-1.75207 - 1.12599i) q^{11} +(0.505898 + 1.65652i) q^{12} +(-2.50409 + 2.88987i) q^{13} +(-4.24090 - 1.24524i) q^{14} +(-1.37926 + 2.19801i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.53425 + 3.35954i) q^{17} +(-2.70134 + 1.30490i) q^{18} +(0.806590 + 0.368357i) q^{19} +(0.213213 - 1.48293i) q^{20} +(1.00759 - 7.58897i) q^{21} +2.08269i q^{22} +(4.39445 + 1.92063i) q^{23} +(1.12005 - 1.32117i) q^{24} +(-2.31804 + 1.48972i) q^{25} +(3.78493 + 0.544191i) q^{26} +(-2.94941 - 4.27797i) q^{27} +(1.24524 + 4.24090i) q^{28} +(4.85145 - 2.21558i) q^{29} +(2.59477 - 0.0280297i) q^{30} +(1.34101 + 9.32693i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-3.56486 + 0.551916i) q^{33} +(1.99675 - 3.10700i) q^{34} +(-3.58005 + 5.57066i) q^{35} +(2.55821 + 1.56702i) q^{36} +(-0.717497 + 2.44357i) q^{37} +(-0.126194 - 0.877696i) q^{38} +(0.0715413 + 6.62272i) q^{39} +(-1.36279 + 0.622366i) q^{40} +(-0.0613750 - 0.209024i) q^{41} +(-6.92899 + 3.25527i) q^{42} +(-3.01815 - 0.433944i) q^{43} +(1.75207 - 1.12599i) q^{44} +(0.735594 + 4.43393i) q^{45} +(-0.760086 - 4.73522i) q^{46} +9.62337i q^{47} +(-1.71698 - 0.227963i) q^{48} +(1.78404 - 12.4083i) q^{49} +(2.50646 + 1.14466i) q^{50} +(5.84727 + 2.59439i) q^{51} +(-1.58848 - 3.47830i) q^{52} +(-8.08324 - 9.32856i) q^{53} +(-2.00428 + 4.79404i) q^{54} +(2.99385 + 0.879075i) q^{55} +(2.89445 - 3.34037i) q^{56} +(1.46887 - 0.448591i) q^{57} +(-4.48676 - 2.88346i) q^{58} +(-6.92648 - 6.00183i) q^{59} +(-1.42642 - 2.16770i) q^{60} +(6.28652 - 0.903865i) q^{61} +(7.12131 - 6.17065i) q^{62} +(-7.40810 - 10.9974i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.37983 - 5.21111i) q^{65} +(2.39161 + 2.70056i) q^{66} +(-1.67331 - 2.60371i) q^{67} -3.69330 q^{68} +(7.90365 - 2.55584i) q^{69} +6.62186 q^{70} +(6.11097 + 9.50886i) q^{71} +(-0.0648069 - 2.99930i) q^{72} +(-1.78840 + 3.91604i) q^{73} +(2.44357 - 0.717497i) q^{74} +(-1.29505 + 4.59353i) q^{75} +(-0.670139 + 0.580679i) q^{76} +(-9.11169 + 1.31006i) q^{77} +(5.53271 - 3.64070i) q^{78} +(-9.86473 - 8.54784i) q^{79} +(1.26035 + 0.809976i) q^{80} +(-8.73690 - 2.16022i) q^{81} +(-0.142660 + 0.164639i) q^{82} +(-3.42714 - 1.00630i) q^{83} +(6.48460 + 4.06910i) q^{84} +(-3.62349 - 4.18173i) q^{85} +(1.26668 + 2.77364i) q^{86} +(3.74651 - 8.44392i) q^{87} +(-1.89449 - 0.865182i) q^{88} +(1.50592 - 10.4739i) q^{89} +(3.33237 - 3.01598i) q^{90} +16.9012i q^{91} +(-3.57258 + 3.19948i) q^{92} +(12.4492 + 10.5540i) q^{93} +(8.09570 - 5.20279i) q^{94} +(-1.31494 - 0.189061i) q^{95} +(0.736496 + 1.56766i) q^{96} +(-1.95376 - 6.65389i) q^{97} +(-11.4031 + 5.20760i) q^{98} +(-3.98866 + 4.80927i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) 1.29667 1.14833i 0.748632 0.662986i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −1.43749 + 0.422085i −0.642866 + 0.188762i −0.586886 0.809670i \(-0.699646\pi\)
−0.0559796 + 0.998432i \(0.517828\pi\)
\(6\) −1.66706 0.469995i −0.680576 0.191875i
\(7\) 3.34037 2.89445i 1.26254 1.09400i 0.271223 0.962517i \(-0.412572\pi\)
0.991319 0.131481i \(-0.0419734\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 0.362698 2.97799i 0.120899 0.992665i
\(10\) 1.13225 + 0.981098i 0.358048 + 0.310250i
\(11\) −1.75207 1.12599i −0.528270 0.339499i 0.249166 0.968461i \(-0.419844\pi\)
−0.777436 + 0.628962i \(0.783480\pi\)
\(12\) 0.505898 + 1.65652i 0.146040 + 0.478197i
\(13\) −2.50409 + 2.88987i −0.694510 + 0.801507i −0.988000 0.154455i \(-0.950638\pi\)
0.293490 + 0.955962i \(0.405183\pi\)
\(14\) −4.24090 1.24524i −1.13343 0.332805i
\(15\) −1.37926 + 2.19801i −0.356123 + 0.567524i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.53425 + 3.35954i 0.372111 + 0.814809i 0.999352 + 0.0359844i \(0.0114567\pi\)
−0.627241 + 0.778825i \(0.715816\pi\)
\(18\) −2.70134 + 1.30490i −0.636711 + 0.307569i
\(19\) 0.806590 + 0.368357i 0.185045 + 0.0845070i 0.505783 0.862661i \(-0.331204\pi\)
−0.320738 + 0.947168i \(0.603931\pi\)
\(20\) 0.213213 1.48293i 0.0476759 0.331593i
\(21\) 1.00759 7.58897i 0.219873 1.65605i
\(22\) 2.08269i 0.444032i
\(23\) 4.39445 + 1.92063i 0.916306 + 0.400478i
\(24\) 1.12005 1.32117i 0.228629 0.269683i
\(25\) −2.31804 + 1.48972i −0.463609 + 0.297943i
\(26\) 3.78493 + 0.544191i 0.742286 + 0.106725i
\(27\) −2.94941 4.27797i −0.567614 0.823295i
\(28\) 1.24524 + 4.24090i 0.235329 + 0.801456i
\(29\) 4.85145 2.21558i 0.900891 0.411423i 0.0895408 0.995983i \(-0.471460\pi\)
0.811351 + 0.584560i \(0.198733\pi\)
\(30\) 2.59477 0.0280297i 0.473738 0.00511751i
\(31\) 1.34101 + 9.32693i 0.240852 + 1.67517i 0.647874 + 0.761747i \(0.275658\pi\)
−0.407022 + 0.913418i \(0.633433\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) −3.56486 + 0.551916i −0.620563 + 0.0960762i
\(34\) 1.99675 3.10700i 0.342440 0.532847i
\(35\) −3.58005 + 5.57066i −0.605139 + 0.941614i
\(36\) 2.55821 + 1.56702i 0.426368 + 0.261171i
\(37\) −0.717497 + 2.44357i −0.117956 + 0.401720i −0.997211 0.0746301i \(-0.976222\pi\)
0.879256 + 0.476350i \(0.158041\pi\)
\(38\) −0.126194 0.877696i −0.0204713 0.142381i
\(39\) 0.0715413 + 6.62272i 0.0114558 + 1.06048i
\(40\) −1.36279 + 0.622366i −0.215476 + 0.0984046i
\(41\) −0.0613750 0.209024i −0.00958517 0.0326441i 0.954562 0.298014i \(-0.0963242\pi\)
−0.964147 + 0.265370i \(0.914506\pi\)
\(42\) −6.92899 + 3.25527i −1.06917 + 0.502299i
\(43\) −3.01815 0.433944i −0.460263 0.0661759i −0.0917167 0.995785i \(-0.529235\pi\)
−0.368547 + 0.929609i \(0.620144\pi\)
\(44\) 1.75207 1.12599i 0.264135 0.169749i
\(45\) 0.735594 + 4.43393i 0.109656 + 0.660971i
\(46\) −0.760086 4.73522i −0.112069 0.698169i
\(47\) 9.62337i 1.40371i 0.712318 + 0.701856i \(0.247645\pi\)
−0.712318 + 0.701856i \(0.752355\pi\)
\(48\) −1.71698 0.227963i −0.247825 0.0329037i
\(49\) 1.78404 12.4083i 0.254863 1.77261i
\(50\) 2.50646 + 1.14466i 0.354467 + 0.161879i
\(51\) 5.84727 + 2.59439i 0.818781 + 0.363288i
\(52\) −1.58848 3.47830i −0.220283 0.482353i
\(53\) −8.08324 9.32856i −1.11032 1.28138i −0.956004 0.293354i \(-0.905228\pi\)
−0.154315 0.988022i \(-0.549317\pi\)
\(54\) −2.00428 + 4.79404i −0.272748 + 0.652387i
\(55\) 2.99385 + 0.879075i 0.403691 + 0.118534i
\(56\) 2.89445 3.34037i 0.386787 0.446376i
\(57\) 1.46887 0.448591i 0.194557 0.0594173i
\(58\) −4.48676 2.88346i −0.589140 0.378617i
\(59\) −6.92648 6.00183i −0.901751 0.781372i 0.0746787 0.997208i \(-0.476207\pi\)
−0.976430 + 0.215836i \(0.930752\pi\)
\(60\) −1.42642 2.16770i −0.184150 0.279849i
\(61\) 6.28652 0.903865i 0.804906 0.115728i 0.272433 0.962175i \(-0.412172\pi\)
0.532473 + 0.846447i \(0.321263\pi\)
\(62\) 7.12131 6.17065i 0.904407 0.783673i
\(63\) −7.40810 10.9974i −0.933333 1.38554i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 2.37983 5.21111i 0.295182 0.646358i
\(66\) 2.39161 + 2.70056i 0.294387 + 0.332416i
\(67\) −1.67331 2.60371i −0.204427 0.318094i 0.723869 0.689938i \(-0.242362\pi\)
−0.928295 + 0.371843i \(0.878726\pi\)
\(68\) −3.69330 −0.447879
\(69\) 7.90365 2.55584i 0.951487 0.307687i
\(70\) 6.62186 0.791464
\(71\) 6.11097 + 9.50886i 0.725239 + 1.12849i 0.986585 + 0.163249i \(0.0521972\pi\)
−0.261346 + 0.965245i \(0.584166\pi\)
\(72\) −0.0648069 2.99930i −0.00763756 0.353471i
\(73\) −1.78840 + 3.91604i −0.209316 + 0.458338i −0.984949 0.172846i \(-0.944704\pi\)
0.775633 + 0.631184i \(0.217431\pi\)
\(74\) 2.44357 0.717497i 0.284059 0.0834073i
\(75\) −1.29505 + 4.59353i −0.149540 + 0.530416i
\(76\) −0.670139 + 0.580679i −0.0768703 + 0.0666085i
\(77\) −9.11169 + 1.31006i −1.03837 + 0.149296i
\(78\) 5.53271 3.64070i 0.626456 0.412228i
\(79\) −9.86473 8.54784i −1.10987 0.961707i −0.110387 0.993889i \(-0.535209\pi\)
−0.999482 + 0.0321821i \(0.989754\pi\)
\(80\) 1.26035 + 0.809976i 0.140911 + 0.0905581i
\(81\) −8.73690 2.16022i −0.970767 0.240025i
\(82\) −0.142660 + 0.164639i −0.0157542 + 0.0181813i
\(83\) −3.42714 1.00630i −0.376177 0.110456i 0.0881777 0.996105i \(-0.471896\pi\)
−0.464355 + 0.885649i \(0.653714\pi\)
\(84\) 6.48460 + 4.06910i 0.707528 + 0.443976i
\(85\) −3.62349 4.18173i −0.393023 0.453572i
\(86\) 1.26668 + 2.77364i 0.136589 + 0.299089i
\(87\) 3.74651 8.44392i 0.401668 0.905283i
\(88\) −1.89449 0.865182i −0.201953 0.0922287i
\(89\) 1.50592 10.4739i 0.159627 1.11023i −0.739694 0.672943i \(-0.765030\pi\)
0.899322 0.437288i \(-0.144061\pi\)
\(90\) 3.33237 3.01598i 0.351262 0.317913i
\(91\) 16.9012i 1.77173i
\(92\) −3.57258 + 3.19948i −0.372468 + 0.333568i
\(93\) 12.4492 + 10.5540i 1.29092 + 1.09440i
\(94\) 8.09570 5.20279i 0.835007 0.536627i
\(95\) −1.31494 0.189061i −0.134910 0.0193972i
\(96\) 0.736496 + 1.56766i 0.0751684 + 0.159999i
\(97\) −1.95376 6.65389i −0.198374 0.675600i −0.997250 0.0741047i \(-0.976390\pi\)
0.798876 0.601495i \(-0.205428\pi\)
\(98\) −11.4031 + 5.20760i −1.15188 + 0.526047i
\(99\) −3.98866 + 4.80927i −0.400876 + 0.483350i
\(100\) −0.392143 2.72742i −0.0392143 0.272742i
\(101\) −2.92436 + 9.95947i −0.290985 + 0.991004i 0.676155 + 0.736760i \(0.263645\pi\)
−0.967140 + 0.254245i \(0.918173\pi\)
\(102\) −0.978728 6.32167i −0.0969085 0.625939i
\(103\) 10.4440 16.2512i 1.02908 1.60127i 0.256299 0.966597i \(-0.417497\pi\)
0.772777 0.634677i \(-0.218867\pi\)
\(104\) −2.06733 + 3.21683i −0.202718 + 0.315436i
\(105\) 1.75480 + 11.3344i 0.171251 + 1.10612i
\(106\) −3.47755 + 11.8435i −0.337770 + 1.15034i
\(107\) 0.778146 + 5.41213i 0.0752262 + 0.523210i 0.992238 + 0.124351i \(0.0396847\pi\)
−0.917012 + 0.398859i \(0.869406\pi\)
\(108\) 5.11660 0.905744i 0.492345 0.0871553i
\(109\) −8.78378 + 4.01142i −0.841334 + 0.384224i −0.788991 0.614405i \(-0.789396\pi\)
−0.0523429 + 0.998629i \(0.516669\pi\)
\(110\) −0.879075 2.99385i −0.0838165 0.285453i
\(111\) 1.87566 + 3.99242i 0.178029 + 0.378944i
\(112\) −4.37495 0.629023i −0.413394 0.0594371i
\(113\) 5.05558 3.24902i 0.475589 0.305642i −0.280798 0.959767i \(-0.590599\pi\)
0.756387 + 0.654124i \(0.226963\pi\)
\(114\) −1.17151 0.993169i −0.109722 0.0930188i
\(115\) −7.12765 0.906049i −0.664657 0.0844895i
\(116\) 5.33342i 0.495196i
\(117\) 7.69780 + 8.50532i 0.711662 + 0.786317i
\(118\) −1.30432 + 9.07176i −0.120073 + 0.835123i
\(119\) 14.8490 + 6.78131i 1.36121 + 0.621642i
\(120\) −1.05241 + 2.37193i −0.0960714 + 0.216526i
\(121\) −2.76766 6.06032i −0.251605 0.550938i
\(122\) −4.15913 4.79989i −0.376550 0.434561i
\(123\) −0.319611 0.200556i −0.0288183 0.0180836i
\(124\) −9.04115 2.65472i −0.811919 0.238401i
\(125\) 7.60887 8.78110i 0.680558 0.785406i
\(126\) −5.24649 + 12.1777i −0.467394 + 1.08488i
\(127\) 11.1438 + 7.16167i 0.988850 + 0.635495i 0.931837 0.362878i \(-0.118206\pi\)
0.0570134 + 0.998373i \(0.481842\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) −4.41185 + 2.90313i −0.388441 + 0.255607i
\(130\) −5.67050 + 0.815294i −0.497336 + 0.0715061i
\(131\) 5.82456 5.04701i 0.508894 0.440959i −0.362182 0.932107i \(-0.617968\pi\)
0.871076 + 0.491148i \(0.163423\pi\)
\(132\) 0.978856 3.47199i 0.0851985 0.302198i
\(133\) 3.76050 1.10418i 0.326077 0.0957448i
\(134\) −1.28573 + 2.81535i −0.111070 + 0.243209i
\(135\) 6.04542 + 4.90464i 0.520306 + 0.422124i
\(136\) 1.99675 + 3.10700i 0.171220 + 0.266423i
\(137\) −16.0060 −1.36748 −0.683741 0.729725i \(-0.739648\pi\)
−0.683741 + 0.729725i \(0.739648\pi\)
\(138\) −6.42315 5.26718i −0.546775 0.448372i
\(139\) 0.415789 0.0352668 0.0176334 0.999845i \(-0.494387\pi\)
0.0176334 + 0.999845i \(0.494387\pi\)
\(140\) −3.58005 5.57066i −0.302569 0.470807i
\(141\) 11.0508 + 12.4783i 0.930642 + 1.05086i
\(142\) 4.69552 10.2818i 0.394039 0.862825i
\(143\) 7.64132 2.24369i 0.638999 0.187627i
\(144\) −2.48813 + 1.67606i −0.207345 + 0.139672i
\(145\) −6.03875 + 5.23261i −0.501491 + 0.434544i
\(146\) 4.26126 0.612677i 0.352665 0.0507055i
\(147\) −11.9354 18.1381i −0.984419 1.49601i
\(148\) −1.92469 1.66775i −0.158209 0.137088i
\(149\) 2.64950 + 1.70273i 0.217055 + 0.139493i 0.644651 0.764477i \(-0.277003\pi\)
−0.427595 + 0.903970i \(0.640639\pi\)
\(150\) 4.56449 1.39398i 0.372689 0.113818i
\(151\) 3.12657 3.60826i 0.254437 0.293636i −0.614133 0.789203i \(-0.710494\pi\)
0.868570 + 0.495567i \(0.165040\pi\)
\(152\) 0.850803 + 0.249818i 0.0690092 + 0.0202629i
\(153\) 10.5612 3.35050i 0.853820 0.270872i
\(154\) 6.02825 + 6.95697i 0.485770 + 0.560608i
\(155\) −5.86445 12.8414i −0.471044 1.03144i
\(156\) −6.05395 2.68610i −0.484704 0.215060i
\(157\) −2.06181 0.941599i −0.164551 0.0751477i 0.331437 0.943477i \(-0.392467\pi\)
−0.495988 + 0.868330i \(0.665194\pi\)
\(158\) −1.85762 + 12.9200i −0.147784 + 1.02786i
\(159\) −21.1935 2.81385i −1.68075 0.223153i
\(160\) 1.49818i 0.118441i
\(161\) 20.2382 6.30390i 1.59500 0.496817i
\(162\) 2.90623 + 8.51785i 0.228335 + 0.669226i
\(163\) −10.2526 + 6.58893i −0.803043 + 0.516085i −0.876608 0.481206i \(-0.840199\pi\)
0.0735643 + 0.997290i \(0.476563\pi\)
\(164\) 0.215631 + 0.0310031i 0.0168380 + 0.00242093i
\(165\) 4.89150 2.29805i 0.380803 0.178903i
\(166\) 1.00630 + 3.42714i 0.0781039 + 0.265998i
\(167\) −8.04885 + 3.67579i −0.622839 + 0.284441i −0.701731 0.712442i \(-0.747589\pi\)
0.0788919 + 0.996883i \(0.474862\pi\)
\(168\) −0.0826937 7.65512i −0.00637996 0.590605i
\(169\) −0.230811 1.60533i −0.0177547 0.123487i
\(170\) −1.55889 + 5.30909i −0.119561 + 0.407188i
\(171\) 1.38951 2.26842i 0.106259 0.173470i
\(172\) 1.64851 2.56514i 0.125698 0.195590i
\(173\) −9.50005 + 14.7824i −0.722276 + 1.12388i 0.264905 + 0.964275i \(0.414659\pi\)
−0.987180 + 0.159608i \(0.948977\pi\)
\(174\) −9.12899 + 1.41336i −0.692067 + 0.107147i
\(175\) −3.43122 + 11.6857i −0.259376 + 0.883352i
\(176\) 0.296398 + 2.06150i 0.0223419 + 0.155391i
\(177\) −15.8734 + 0.171471i −1.19312 + 0.0128885i
\(178\) −9.62536 + 4.39576i −0.721452 + 0.329476i
\(179\) 3.55735 + 12.1152i 0.265889 + 0.905534i 0.978893 + 0.204374i \(0.0655159\pi\)
−0.713004 + 0.701160i \(0.752666\pi\)
\(180\) −4.33882 1.17280i −0.323397 0.0874155i
\(181\) 18.0950 + 2.60167i 1.34499 + 0.193380i 0.776920 0.629600i \(-0.216781\pi\)
0.568070 + 0.822980i \(0.307690\pi\)
\(182\) 14.2182 9.13748i 1.05392 0.677315i
\(183\) 7.11360 8.39098i 0.525852 0.620279i
\(184\) 4.62306 + 1.27568i 0.340816 + 0.0940445i
\(185\) 3.81545i 0.280518i
\(186\) 2.14806 16.1789i 0.157504 1.18629i
\(187\) 1.09469 7.61372i 0.0800515 0.556770i
\(188\) −8.75373 3.99769i −0.638431 0.291562i
\(189\) −22.2345 5.75308i −1.61732 0.418475i
\(190\) 0.551865 + 1.20842i 0.0400365 + 0.0876677i
\(191\) 9.55402 + 11.0259i 0.691305 + 0.797808i 0.987550 0.157304i \(-0.0502801\pi\)
−0.296246 + 0.955112i \(0.595735\pi\)
\(192\) 0.920624 1.46712i 0.0664403 0.105881i
\(193\) 0.392170 + 0.115152i 0.0282290 + 0.00828880i 0.295817 0.955245i \(-0.404408\pi\)
−0.267588 + 0.963534i \(0.586226\pi\)
\(194\) −4.54132 + 5.24097i −0.326048 + 0.376280i
\(195\) −2.89819 9.48990i −0.207544 0.679586i
\(196\) 10.5459 + 6.77742i 0.753276 + 0.484101i
\(197\) −13.2726 11.5008i −0.945637 0.819399i 0.0380522 0.999276i \(-0.487885\pi\)
−0.983689 + 0.179877i \(0.942430\pi\)
\(198\) 6.20225 + 0.755388i 0.440775 + 0.0536831i
\(199\) 8.87881 1.27658i 0.629403 0.0904944i 0.179771 0.983709i \(-0.442464\pi\)
0.449632 + 0.893214i \(0.351555\pi\)
\(200\) −2.08244 + 1.80444i −0.147251 + 0.127593i
\(201\) −5.15963 1.45466i −0.363933 0.102603i
\(202\) 9.95947 2.92436i 0.700746 0.205758i
\(203\) 9.79275 21.4431i 0.687316 1.50501i
\(204\) −4.78899 + 4.24111i −0.335296 + 0.296937i
\(205\) 0.176452 + 0.274565i 0.0123239 + 0.0191764i
\(206\) −19.3178 −1.34593
\(207\) 7.31347 12.3900i 0.508321 0.861167i
\(208\) 3.82385 0.265136
\(209\) −0.998439 1.55360i −0.0690635 0.107465i
\(210\) 8.58636 7.60405i 0.592515 0.524729i
\(211\) 5.24063 11.4754i 0.360780 0.789998i −0.639004 0.769204i \(-0.720653\pi\)
0.999784 0.0207943i \(-0.00661951\pi\)
\(212\) 11.8435 3.47755i 0.813412 0.238839i
\(213\) 18.8432 + 5.31245i 1.29111 + 0.364003i
\(214\) 4.13227 3.58063i 0.282476 0.244767i
\(215\) 4.52172 0.650126i 0.308379 0.0443382i
\(216\) −3.52821 3.81468i −0.240064 0.259556i
\(217\) 31.4758 + 27.2739i 2.13671 + 1.85147i
\(218\) 8.12349 + 5.22065i 0.550192 + 0.353587i
\(219\) 2.17793 + 7.13147i 0.147171 + 0.481900i
\(220\) −2.04333 + 2.35812i −0.137761 + 0.158985i
\(221\) −13.5506 3.97880i −0.911510 0.267643i
\(222\) 2.34458 3.73637i 0.157358 0.250769i
\(223\) −9.65557 11.1431i −0.646585 0.746198i 0.333940 0.942594i \(-0.391622\pi\)
−0.980525 + 0.196396i \(0.937076\pi\)
\(224\) 1.83611 + 4.02052i 0.122680 + 0.268632i
\(225\) 3.59562 + 7.44344i 0.239708 + 0.496229i
\(226\) −5.46651 2.49647i −0.363627 0.166063i
\(227\) 1.98541 13.8089i 0.131777 0.916526i −0.811461 0.584407i \(-0.801327\pi\)
0.943237 0.332119i \(-0.107764\pi\)
\(228\) −0.202140 + 1.52249i −0.0133871 + 0.100829i
\(229\) 4.45353i 0.294298i 0.989114 + 0.147149i \(0.0470096\pi\)
−0.989114 + 0.147149i \(0.952990\pi\)
\(230\) 3.09128 + 6.48601i 0.203833 + 0.427675i
\(231\) −10.3105 + 12.1619i −0.678379 + 0.800194i
\(232\) 4.48676 2.88346i 0.294570 0.189309i
\(233\) −8.57581 1.23301i −0.561820 0.0807775i −0.144446 0.989513i \(-0.546140\pi\)
−0.417373 + 0.908735i \(0.637049\pi\)
\(234\) 2.99338 11.0741i 0.195683 0.723938i
\(235\) −4.06189 13.8335i −0.264968 0.902399i
\(236\) 8.33682 3.80730i 0.542681 0.247834i
\(237\) −22.6070 + 0.244210i −1.46848 + 0.0158631i
\(238\) −2.32317 16.1580i −0.150589 1.04737i
\(239\) 6.42524 21.8824i 0.415614 1.41545i −0.440075 0.897961i \(-0.645048\pi\)
0.855689 0.517491i \(-0.173134\pi\)
\(240\) 2.56437 0.397019i 0.165529 0.0256274i
\(241\) −10.5755 + 16.4557i −0.681225 + 1.06001i 0.312689 + 0.949855i \(0.398770\pi\)
−0.993915 + 0.110152i \(0.964866\pi\)
\(242\) −3.60196 + 5.60476i −0.231543 + 0.360287i
\(243\) −13.8095 + 7.23171i −0.885880 + 0.463915i
\(244\) −1.78933 + 6.09390i −0.114550 + 0.390122i
\(245\) 2.67282 + 18.5898i 0.170760 + 1.18766i
\(246\) 0.00407578 + 0.377303i 0.000259862 + 0.0240559i
\(247\) −3.08428 + 1.40854i −0.196248 + 0.0896235i
\(248\) 2.65472 + 9.04115i 0.168575 + 0.574113i
\(249\) −5.59942 + 2.63063i −0.354849 + 0.166710i
\(250\) −11.5008 1.65357i −0.727374 0.104581i
\(251\) 11.8661 7.62590i 0.748983 0.481342i −0.109626 0.993973i \(-0.534965\pi\)
0.858609 + 0.512631i \(0.171329\pi\)
\(252\) 13.0810 2.17016i 0.824028 0.136707i
\(253\) −5.53680 8.31318i −0.348095 0.522645i
\(254\) 13.2466i 0.831167i
\(255\) −9.50045 1.26137i −0.594941 0.0789902i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −7.29558 3.33178i −0.455086 0.207831i 0.174665 0.984628i \(-0.444116\pi\)
−0.629751 + 0.776797i \(0.716843\pi\)
\(258\) 4.82750 + 2.14193i 0.300547 + 0.133351i
\(259\) 4.67608 + 10.2392i 0.290557 + 0.636232i
\(260\) 3.75157 + 4.32954i 0.232663 + 0.268507i
\(261\) −4.83838 15.2512i −0.299488 0.944024i
\(262\) −7.39481 2.17131i −0.456853 0.134144i
\(263\) −12.4722 + 14.3937i −0.769069 + 0.887553i −0.996270 0.0862953i \(-0.972497\pi\)
0.227201 + 0.973848i \(0.427043\pi\)
\(264\) −3.45003 + 1.05363i −0.212335 + 0.0648465i
\(265\) 15.5570 + 9.99790i 0.955661 + 0.614166i
\(266\) −2.96198 2.56657i −0.181611 0.157366i
\(267\) −10.0748 15.3105i −0.616566 0.936985i
\(268\) 3.06354 0.440470i 0.187135 0.0269060i
\(269\) −1.95976 + 1.69814i −0.119489 + 0.103537i −0.712556 0.701616i \(-0.752462\pi\)
0.593067 + 0.805153i \(0.297917\pi\)
\(270\) 0.857644 7.73737i 0.0521946 0.470882i
\(271\) −1.61521 + 0.474268i −0.0981170 + 0.0288098i −0.330423 0.943833i \(-0.607191\pi\)
0.232306 + 0.972643i \(0.425373\pi\)
\(272\) 1.53425 3.35954i 0.0930277 0.203702i
\(273\) 19.4081 + 21.9153i 1.17463 + 1.32637i
\(274\) 8.65347 + 13.4651i 0.522775 + 0.813454i
\(275\) 5.73879 0.346062
\(276\) −0.958416 + 8.25115i −0.0576899 + 0.496661i
\(277\) −12.1413 −0.729498 −0.364749 0.931106i \(-0.618845\pi\)
−0.364749 + 0.931106i \(0.618845\pi\)
\(278\) −0.224793 0.349784i −0.0134822 0.0209787i
\(279\) 28.2619 0.610665i 1.69200 0.0365595i
\(280\) −2.75082 + 6.02346i −0.164393 + 0.359970i
\(281\) −14.4675 + 4.24804i −0.863059 + 0.253417i −0.683161 0.730268i \(-0.739395\pi\)
−0.179899 + 0.983685i \(0.557577\pi\)
\(282\) 4.52294 16.0428i 0.269337 0.955334i
\(283\) −18.9926 + 16.4572i −1.12899 + 0.978278i −0.999911 0.0133560i \(-0.995749\pi\)
−0.129082 + 0.991634i \(0.541203\pi\)
\(284\) −11.1881 + 1.60861i −0.663895 + 0.0954536i
\(285\) −1.92215 + 1.26484i −0.113858 + 0.0749224i
\(286\) −6.01872 5.21525i −0.355894 0.308384i
\(287\) −0.810025 0.520571i −0.0478142 0.0307283i
\(288\) 2.75518 + 1.18700i 0.162351 + 0.0699449i
\(289\) 2.20002 2.53896i 0.129413 0.149351i
\(290\) 7.66674 + 2.25116i 0.450207 + 0.132193i
\(291\) −10.1742 6.38433i −0.596422 0.374256i
\(292\) −2.81923 3.25357i −0.164983 0.190401i
\(293\) 10.0554 + 22.0182i 0.587443 + 1.28632i 0.936975 + 0.349396i \(0.113613\pi\)
−0.349533 + 0.936924i \(0.613660\pi\)
\(294\) −8.80596 + 19.8469i −0.513574 + 1.15750i
\(295\) 12.4900 + 5.70401i 0.727198 + 0.332100i
\(296\) −0.362437 + 2.52081i −0.0210662 + 0.146519i
\(297\) 0.350636 + 10.8163i 0.0203459 + 0.627626i
\(298\) 3.14946i 0.182443i
\(299\) −16.5545 + 7.88999i −0.957369 + 0.456290i
\(300\) −3.64044 3.08625i −0.210181 0.178185i
\(301\) −11.3378 + 7.28634i −0.653498 + 0.419977i
\(302\) −4.72581 0.679469i −0.271940 0.0390990i
\(303\) 7.64478 + 16.2723i 0.439181 + 0.934816i
\(304\) −0.249818 0.850803i −0.0143281 0.0487969i
\(305\) −8.65530 + 3.95274i −0.495601 + 0.226334i
\(306\) −8.52842 7.07321i −0.487537 0.404349i
\(307\) 1.99118 + 13.8489i 0.113642 + 0.790401i 0.964325 + 0.264721i \(0.0852799\pi\)
−0.850683 + 0.525680i \(0.823811\pi\)
\(308\) 2.59346 8.83251i 0.147776 0.503279i
\(309\) −5.11923 33.0655i −0.291223 1.88103i
\(310\) −7.63227 + 11.8761i −0.433484 + 0.674514i
\(311\) 4.32275 6.72633i 0.245121 0.381415i −0.696792 0.717273i \(-0.745390\pi\)
0.941913 + 0.335858i \(0.109026\pi\)
\(312\) 1.01332 + 6.54513i 0.0573682 + 0.370545i
\(313\) 2.64169 8.99677i 0.149317 0.508527i −0.850532 0.525924i \(-0.823720\pi\)
0.999849 + 0.0173966i \(0.00553780\pi\)
\(314\) 0.322577 + 2.24357i 0.0182041 + 0.126612i
\(315\) 15.2909 + 12.6818i 0.861546 + 0.714540i
\(316\) 11.8733 5.42237i 0.667928 0.305032i
\(317\) −5.80350 19.7649i −0.325957 1.11011i −0.945629 0.325246i \(-0.894553\pi\)
0.619673 0.784860i \(-0.287265\pi\)
\(318\) 9.09091 + 19.3504i 0.509793 + 1.08512i
\(319\) −10.9948 1.58082i −0.615592 0.0885087i
\(320\) −1.26035 + 0.809976i −0.0704556 + 0.0452790i
\(321\) 7.22388 + 6.12417i 0.403198 + 0.341818i
\(322\) −16.2448 13.6173i −0.905287 0.758865i
\(323\) 3.27493i 0.182222i
\(324\) 5.59445 7.04998i 0.310803 0.391665i
\(325\) 1.49950 10.4292i 0.0831771 0.578510i
\(326\) 11.0859 + 5.06277i 0.613992 + 0.280401i
\(327\) −6.78324 + 15.2881i −0.375114 + 0.845435i
\(328\) −0.0904975 0.198162i −0.00499689 0.0109417i
\(329\) 27.8543 + 32.1456i 1.53566 + 1.77225i
\(330\) −4.57779 2.87257i −0.251999 0.158130i
\(331\) 12.4601 + 3.65863i 0.684871 + 0.201096i 0.605615 0.795758i \(-0.292927\pi\)
0.0792563 + 0.996854i \(0.474745\pi\)
\(332\) 2.33905 2.69940i 0.128372 0.148149i
\(333\) 7.01670 + 3.02298i 0.384513 + 0.165658i
\(334\) 7.44381 + 4.78384i 0.407307 + 0.261760i
\(335\) 3.50435 + 3.03654i 0.191463 + 0.165904i
\(336\) −6.39519 + 4.20824i −0.348886 + 0.229578i
\(337\) 3.56137 0.512047i 0.194000 0.0278930i −0.0446298 0.999004i \(-0.514211\pi\)
0.238630 + 0.971111i \(0.423302\pi\)
\(338\) −1.22570 + 1.06208i −0.0666693 + 0.0577693i
\(339\) 2.82447 10.0184i 0.153404 0.544122i
\(340\) 5.30909 1.55889i 0.287926 0.0845426i
\(341\) 8.15247 17.8514i 0.441481 0.966709i
\(342\) −2.65954 + 0.0574656i −0.143812 + 0.00310739i
\(343\) −13.2286 20.5841i −0.714276 1.11144i
\(344\) −3.04918 −0.164401
\(345\) −10.2826 + 7.01002i −0.553599 + 0.377407i
\(346\) 17.5718 0.944668
\(347\) 10.3610 + 16.1220i 0.556207 + 0.865475i 0.999523 0.0308903i \(-0.00983425\pi\)
−0.443316 + 0.896366i \(0.646198\pi\)
\(348\) 6.12450 + 6.91568i 0.328308 + 0.370719i
\(349\) 3.67410 8.04515i 0.196670 0.430647i −0.785444 0.618932i \(-0.787566\pi\)
0.982114 + 0.188285i \(0.0602929\pi\)
\(350\) 11.6857 3.43122i 0.624624 0.183406i
\(351\) 19.7484 + 2.18899i 1.05409 + 0.116840i
\(352\) 1.57400 1.36387i 0.0838942 0.0726948i
\(353\) 17.0199 2.44709i 0.905878 0.130246i 0.326399 0.945232i \(-0.394165\pi\)
0.579480 + 0.814987i \(0.303256\pi\)
\(354\) 8.72606 + 13.2609i 0.463785 + 0.704806i
\(355\) −12.7980 11.0895i −0.679248 0.588572i
\(356\) 8.90181 + 5.72085i 0.471795 + 0.303204i
\(357\) 27.0414 8.25837i 1.43118 0.437079i
\(358\) 8.26872 9.54262i 0.437016 0.504343i
\(359\) −25.0701 7.36126i −1.32315 0.388512i −0.457522 0.889198i \(-0.651263\pi\)
−0.865629 + 0.500686i \(0.833081\pi\)
\(360\) 1.35912 + 4.28411i 0.0716319 + 0.225793i
\(361\) −11.9275 13.7650i −0.627761 0.724474i
\(362\) −7.59423 16.6290i −0.399144 0.874003i
\(363\) −10.5479 4.68006i −0.553624 0.245639i
\(364\) −15.3739 7.02101i −0.805810 0.368001i
\(365\) 0.917900 6.38413i 0.0480451 0.334161i
\(366\) −10.9048 1.44783i −0.570005 0.0756794i
\(367\) 10.8935i 0.568637i −0.958730 0.284318i \(-0.908233\pi\)
0.958730 0.284318i \(-0.0917673\pi\)
\(368\) −1.42624 4.57885i −0.0743479 0.238689i
\(369\) −0.644733 + 0.106962i −0.0335635 + 0.00556821i
\(370\) −3.20976 + 2.06279i −0.166868 + 0.107239i
\(371\) −54.0020 7.76432i −2.80365 0.403103i
\(372\) −14.7719 + 6.93989i −0.765885 + 0.359816i
\(373\) −4.61692 15.7238i −0.239055 0.814147i −0.988388 0.151953i \(-0.951444\pi\)
0.749333 0.662194i \(-0.230374\pi\)
\(374\) −6.99690 + 3.19538i −0.361801 + 0.165229i
\(375\) −0.217384 20.1236i −0.0112256 1.03918i
\(376\) 1.36955 + 9.52542i 0.0706291 + 0.491236i
\(377\) −5.74571 + 19.5681i −0.295919 + 1.00781i
\(378\) 7.18105 + 21.8152i 0.369354 + 1.12205i
\(379\) −4.54460 + 7.07153i −0.233440 + 0.363240i −0.938135 0.346271i \(-0.887448\pi\)
0.704694 + 0.709511i \(0.251084\pi\)
\(380\) 0.718223 1.11758i 0.0368441 0.0573305i
\(381\) 22.6737 3.51037i 1.16161 0.179842i
\(382\) 4.11031 13.9984i 0.210302 0.716222i
\(383\) 2.07801 + 14.4529i 0.106181 + 0.738506i 0.971458 + 0.237212i \(0.0762336\pi\)
−0.865277 + 0.501294i \(0.832857\pi\)
\(384\) −1.73195 + 0.0187092i −0.0883832 + 0.000954751i
\(385\) 12.5450 5.72912i 0.639353 0.291983i
\(386\) −0.115152 0.392170i −0.00586106 0.0199610i
\(387\) −2.38696 + 8.83064i −0.121336 + 0.448887i
\(388\) 6.86421 + 0.986924i 0.348477 + 0.0501035i
\(389\) 1.39589 0.897083i 0.0707743 0.0454839i −0.504775 0.863251i \(-0.668425\pi\)
0.575549 + 0.817767i \(0.304788\pi\)
\(390\) −6.41653 + 7.56874i −0.324914 + 0.383258i
\(391\) 0.289769 + 17.7101i 0.0146542 + 0.895637i
\(392\) 12.5359i 0.633158i
\(393\) 1.75691 13.2328i 0.0886246 0.667506i
\(394\) −2.49937 + 17.3835i −0.125916 + 0.875767i
\(395\) 17.7884 + 8.12368i 0.895030 + 0.408747i
\(396\) −2.71772 5.62606i −0.136570 0.282720i
\(397\) −0.289503 0.633922i −0.0145297 0.0318156i 0.902228 0.431259i \(-0.141931\pi\)
−0.916758 + 0.399444i \(0.869203\pi\)
\(398\) −5.87418 6.77916i −0.294446 0.339809i
\(399\) 3.60816 5.75004i 0.180634 0.287862i
\(400\) 2.64385 + 0.776304i 0.132192 + 0.0388152i
\(401\) 6.66635 7.69338i 0.332902 0.384189i −0.564478 0.825448i \(-0.690923\pi\)
0.897380 + 0.441259i \(0.145468\pi\)
\(402\) 1.56578 + 5.12701i 0.0780938 + 0.255712i
\(403\) −30.3116 19.4801i −1.50993 0.970374i
\(404\) −7.84463 6.79741i −0.390285 0.338184i
\(405\) 13.4710 0.582417i 0.669380 0.0289405i
\(406\) −23.3335 + 3.35485i −1.15802 + 0.166498i
\(407\) 4.00854 3.47342i 0.198696 0.172171i
\(408\) 6.15697 + 1.73583i 0.304816 + 0.0859366i
\(409\) 6.83524 2.00701i 0.337981 0.0992402i −0.108338 0.994114i \(-0.534553\pi\)
0.446319 + 0.894874i \(0.352735\pi\)
\(410\) 0.135581 0.296882i 0.00669589 0.0146620i
\(411\) −20.7544 + 18.3800i −1.02374 + 0.906621i
\(412\) 10.4440 + 16.2512i 0.514538 + 0.800637i
\(413\) −40.5090 −1.99332
\(414\) −14.3771 + 0.546080i −0.706597 + 0.0268384i
\(415\) 5.35123 0.262681
\(416\) −2.06733 3.21683i −0.101359 0.157718i
\(417\) 0.539141 0.477461i 0.0264018 0.0233814i
\(418\) −0.767176 + 1.67988i −0.0375238 + 0.0821657i
\(419\) 28.9174 8.49091i 1.41271 0.414808i 0.515678 0.856782i \(-0.327540\pi\)
0.897028 + 0.441974i \(0.145722\pi\)
\(420\) −11.0391 3.11224i −0.538651 0.151862i
\(421\) 1.45761 1.26303i 0.0710398 0.0615563i −0.618617 0.785693i \(-0.712307\pi\)
0.689657 + 0.724136i \(0.257761\pi\)
\(422\) −12.4870 + 1.79536i −0.607858 + 0.0873968i
\(423\) 28.6583 + 3.49037i 1.39342 + 0.169708i
\(424\) −9.32856 8.08324i −0.453035 0.392557i
\(425\) −8.56123 5.50197i −0.415281 0.266885i
\(426\) −5.71827 18.7240i −0.277051 0.907181i
\(427\) 18.3831 21.2152i 0.889621 1.02668i
\(428\) −5.24630 1.54045i −0.253589 0.0744605i
\(429\) 7.33176 11.6840i 0.353981 0.564111i
\(430\) −2.99155 3.45243i −0.144265 0.166491i
\(431\) 7.36638 + 16.1301i 0.354826 + 0.776960i 0.999917 + 0.0128549i \(0.00409195\pi\)
−0.645092 + 0.764105i \(0.723181\pi\)
\(432\) −1.30162 + 5.03049i −0.0626242 + 0.242029i
\(433\) 11.7875 + 5.38317i 0.566471 + 0.258699i 0.677999 0.735063i \(-0.262847\pi\)
−0.111528 + 0.993761i \(0.535575\pi\)
\(434\) 5.92719 41.2245i 0.284514 1.97884i
\(435\) −1.82152 + 13.7194i −0.0873352 + 0.657795i
\(436\) 9.65641i 0.462458i
\(437\) 2.83704 + 3.16789i 0.135714 + 0.151541i
\(438\) 4.82189 5.68776i 0.230399 0.271772i
\(439\) 30.1165 19.3547i 1.43738 0.923748i 0.437683 0.899129i \(-0.355799\pi\)
0.999697 0.0246192i \(-0.00783731\pi\)
\(440\) 3.08849 + 0.444057i 0.147238 + 0.0211696i
\(441\) −36.3048 9.81333i −1.72880 0.467302i
\(442\) 3.97880 + 13.5506i 0.189252 + 0.644535i
\(443\) 27.0628 12.3591i 1.28579 0.587201i 0.349010 0.937119i \(-0.386518\pi\)
0.936780 + 0.349918i \(0.113791\pi\)
\(444\) −4.41081 + 0.0476473i −0.209328 + 0.00226124i
\(445\) 2.25613 + 15.6918i 0.106951 + 0.743861i
\(446\) −4.15399 + 14.1472i −0.196697 + 0.669890i
\(447\) 5.39080 0.834611i 0.254976 0.0394757i
\(448\) 2.38960 3.71829i 0.112898 0.175673i
\(449\) 19.2115 29.8936i 0.906645 1.41077i −0.00509021 0.999987i \(-0.501620\pi\)
0.911735 0.410779i \(-0.134743\pi\)
\(450\) 4.31788 7.04905i 0.203547 0.332295i
\(451\) −0.127825 + 0.435333i −0.00601906 + 0.0204990i
\(452\) 0.855252 + 5.94841i 0.0402277 + 0.279790i
\(453\) −0.0893254 8.26903i −0.00419687 0.388513i
\(454\) −12.6902 + 5.79540i −0.595578 + 0.271991i
\(455\) −7.13375 24.2953i −0.334435 1.13898i
\(456\) 1.39008 0.653067i 0.0650966 0.0305827i
\(457\) −31.1612 4.48030i −1.45766 0.209580i −0.632535 0.774532i \(-0.717986\pi\)
−0.825124 + 0.564952i \(0.808895\pi\)
\(458\) 3.74655 2.40776i 0.175065 0.112507i
\(459\) 9.84688 16.4721i 0.459613 0.768854i
\(460\) 3.78510 6.10715i 0.176481 0.284748i
\(461\) 12.6427i 0.588831i 0.955678 + 0.294415i \(0.0951249\pi\)
−0.955678 + 0.294415i \(0.904875\pi\)
\(462\) 15.8055 + 2.09849i 0.735338 + 0.0976306i
\(463\) 0.769592 5.35263i 0.0357660 0.248758i −0.964093 0.265566i \(-0.914441\pi\)
0.999859 + 0.0168079i \(0.00535039\pi\)
\(464\) −4.85145 2.21558i −0.225223 0.102856i
\(465\) −22.3503 9.91668i −1.03647 0.459875i
\(466\) 3.59915 + 7.88105i 0.166728 + 0.365082i
\(467\) 8.57841 + 9.90001i 0.396961 + 0.458118i 0.918682 0.394999i \(-0.129255\pi\)
−0.521720 + 0.853117i \(0.674710\pi\)
\(468\) −10.9345 + 3.46893i −0.505447 + 0.160351i
\(469\) −13.1258 3.85408i −0.606092 0.177965i
\(470\) −9.44147 + 10.8960i −0.435503 + 0.502597i
\(471\) −3.75475 + 1.14669i −0.173010 + 0.0528368i
\(472\) −7.71013 4.95500i −0.354887 0.228072i
\(473\) 4.79940 + 4.15870i 0.220677 + 0.191217i
\(474\) 12.4277 + 18.8862i 0.570823 + 0.867470i
\(475\) −2.41846 + 0.347722i −0.110967 + 0.0159546i
\(476\) −12.3370 + 10.6901i −0.565465 + 0.489978i
\(477\) −30.7122 + 20.6884i −1.40621 + 0.947257i
\(478\) −21.8824 + 6.42524i −1.00088 + 0.293884i
\(479\) −8.56405 + 18.7527i −0.391302 + 0.856831i 0.606777 + 0.794872i \(0.292462\pi\)
−0.998079 + 0.0619589i \(0.980265\pi\)
\(480\) −1.72040 1.94264i −0.0785250 0.0886690i
\(481\) −5.26493 8.19239i −0.240060 0.373541i
\(482\) 19.5610 0.890978
\(483\) 19.0034 31.4142i 0.864683 1.42939i
\(484\) 6.66239 0.302836
\(485\) 5.61702 + 8.74025i 0.255056 + 0.396874i
\(486\) 13.5497 + 7.70753i 0.614626 + 0.349621i
\(487\) −14.7470 + 32.2913i −0.668249 + 1.46326i 0.206382 + 0.978471i \(0.433831\pi\)
−0.874631 + 0.484789i \(0.838896\pi\)
\(488\) 6.09390 1.78933i 0.275858 0.0809991i
\(489\) −5.72795 + 20.3169i −0.259027 + 0.918764i
\(490\) 14.1937 12.2989i 0.641208 0.555609i
\(491\) −4.90904 + 0.705814i −0.221542 + 0.0318529i −0.252192 0.967677i \(-0.581151\pi\)
0.0306499 + 0.999530i \(0.490242\pi\)
\(492\) 0.315204 0.207414i 0.0142105 0.00935095i
\(493\) 14.8867 + 12.8994i 0.670463 + 0.580960i
\(494\) 2.85243 + 1.83315i 0.128337 + 0.0824771i
\(495\) 3.70374 8.59684i 0.166471 0.386399i
\(496\) 6.17065 7.12131i 0.277070 0.319756i
\(497\) 47.9358 + 14.0752i 2.15021 + 0.631360i
\(498\) 5.24031 + 3.28830i 0.234824 + 0.147352i
\(499\) 15.2358 + 17.5831i 0.682050 + 0.787128i 0.986211 0.165493i \(-0.0529215\pi\)
−0.304161 + 0.952621i \(0.598376\pi\)
\(500\) 4.82673 + 10.5691i 0.215858 + 0.472663i
\(501\) −6.21569 + 14.0090i −0.277697 + 0.625875i
\(502\) −12.8306 5.85955i −0.572659 0.261525i
\(503\) −1.77720 + 12.3607i −0.0792414 + 0.551136i 0.911068 + 0.412256i \(0.135259\pi\)
−0.990309 + 0.138880i \(0.955650\pi\)
\(504\) −8.89779 9.83119i −0.396339 0.437916i
\(505\) 15.5510i 0.692010i
\(506\) −4.00008 + 9.15230i −0.177825 + 0.406869i
\(507\) −2.14272 1.81653i −0.0951616 0.0806749i
\(508\) −11.1438 + 7.16167i −0.494425 + 0.317748i
\(509\) −6.78322 0.975280i −0.300661 0.0432285i −0.00966659 0.999953i \(-0.503077\pi\)
−0.290994 + 0.956725i \(0.593986\pi\)
\(510\) 4.07520 + 8.67424i 0.180453 + 0.384102i
\(511\) 5.36087 + 18.2574i 0.237151 + 0.807662i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) −0.803143 4.53700i −0.0354596 0.200314i
\(514\) 1.14142 + 7.93872i 0.0503457 + 0.350162i
\(515\) −8.15376 + 27.7692i −0.359298 + 1.22366i
\(516\) −0.808037 5.21916i −0.0355718 0.229761i
\(517\) 10.8358 16.8609i 0.476559 0.741540i
\(518\) 6.08567 9.46949i 0.267389 0.416065i
\(519\) 4.65655 + 30.0770i 0.204400 + 1.32023i
\(520\) 1.61399 5.49675i 0.0707782 0.241049i
\(521\) −6.08273 42.3063i −0.266489 1.85347i −0.480961 0.876742i \(-0.659712\pi\)
0.214472 0.976730i \(-0.431197\pi\)
\(522\) −10.2143 + 12.3157i −0.447067 + 0.539044i
\(523\) 23.6188 10.7863i 1.03278 0.471654i 0.174402 0.984675i \(-0.444201\pi\)
0.858376 + 0.513021i \(0.171474\pi\)
\(524\) 2.17131 + 7.39481i 0.0948542 + 0.323044i
\(525\) 8.96978 + 19.0926i 0.391473 + 0.833268i
\(526\) 18.8517 + 2.71047i 0.821974 + 0.118182i
\(527\) −29.2768 + 18.8150i −1.27532 + 0.819596i
\(528\) 2.75160 + 2.33271i 0.119748 + 0.101518i
\(529\) 15.6224 + 16.8802i 0.679234 + 0.733921i
\(530\) 18.4927i 0.803271i
\(531\) −20.3856 + 18.4502i −0.884661 + 0.800669i
\(532\) −0.557769 + 3.87937i −0.0241823 + 0.168192i
\(533\) 0.757742 + 0.346049i 0.0328214 + 0.0149891i
\(534\) −7.43315 + 16.7529i −0.321664 + 0.724968i
\(535\) −3.40296 7.45144i −0.147123 0.322154i
\(536\) −2.02682 2.33908i −0.0875453 0.101033i
\(537\) 18.5249 + 11.6244i 0.799409 + 0.501631i
\(538\) 2.48809 + 0.730570i 0.107269 + 0.0314971i
\(539\) −17.0974 + 19.7314i −0.736437 + 0.849893i
\(540\) −6.97277 + 3.46164i −0.300060 + 0.148965i
\(541\) −9.67306 6.21650i −0.415877 0.267268i 0.315926 0.948784i \(-0.397685\pi\)
−0.731803 + 0.681516i \(0.761321\pi\)
\(542\) 1.27223 + 1.10239i 0.0546469 + 0.0473518i
\(543\) 26.4508 17.4054i 1.13511 0.746939i
\(544\) −3.65571 + 0.525612i −0.156737 + 0.0225354i
\(545\) 10.9334 9.47389i 0.468337 0.405817i
\(546\) 7.94348 28.1754i 0.339950 1.20580i
\(547\) −13.8188 + 4.05757i −0.590849 + 0.173489i −0.563471 0.826136i \(-0.690534\pi\)
−0.0273786 + 0.999625i \(0.508716\pi\)
\(548\) 6.64911 14.5595i 0.284036 0.621952i
\(549\) −0.411599 19.0490i −0.0175666 0.812993i
\(550\) −3.10262 4.82777i −0.132296 0.205857i
\(551\) 4.72926 0.201473
\(552\) 7.45947 3.65464i 0.317496 0.155552i
\(553\) −57.6931 −2.45336
\(554\) 6.56406 + 10.2139i 0.278880 + 0.433946i
\(555\) −4.38138 4.94738i −0.185979 0.210005i
\(556\) −0.172725 + 0.378215i −0.00732518 + 0.0160399i
\(557\) −10.8451 + 3.18441i −0.459522 + 0.134928i −0.503297 0.864114i \(-0.667880\pi\)
0.0437750 + 0.999041i \(0.486062\pi\)
\(558\) −15.7933 23.4453i −0.668582 0.992518i
\(559\) 8.81176 7.63543i 0.372698 0.322944i
\(560\) 6.55446 0.942389i 0.276976 0.0398232i
\(561\) −7.32358 11.1295i −0.309202 0.469889i
\(562\) 11.3954 + 9.87418i 0.480686 + 0.416517i
\(563\) 7.28347 + 4.68080i 0.306962 + 0.197272i 0.685048 0.728498i \(-0.259781\pi\)
−0.378086 + 0.925770i \(0.623418\pi\)
\(564\) −15.9413 + 4.86844i −0.671251 + 0.204998i
\(565\) −5.89599 + 6.80433i −0.248046 + 0.286260i
\(566\) 24.1128 + 7.08017i 1.01354 + 0.297602i
\(567\) −35.4371 + 18.0726i −1.48822 + 0.758976i
\(568\) 7.40202 + 8.54239i 0.310582 + 0.358431i
\(569\) 4.99059 + 10.9279i 0.209216 + 0.458120i 0.984927 0.172968i \(-0.0553359\pi\)
−0.775711 + 0.631088i \(0.782609\pi\)
\(570\) 2.10324 + 0.933194i 0.0880950 + 0.0390872i
\(571\) 25.9567 + 11.8540i 1.08626 + 0.496076i 0.876364 0.481649i \(-0.159962\pi\)
0.209891 + 0.977725i \(0.432689\pi\)
\(572\) −1.13338 + 7.88285i −0.0473891 + 0.329598i
\(573\) 25.0498 + 3.32585i 1.04647 + 0.138939i
\(574\) 0.962878i 0.0401898i
\(575\) −13.0477 + 2.09439i −0.544127 + 0.0873421i
\(576\) −0.490992 2.95955i −0.0204580 0.123315i
\(577\) −11.5536 + 7.42507i −0.480984 + 0.309110i −0.758570 0.651591i \(-0.774102\pi\)
0.277587 + 0.960701i \(0.410465\pi\)
\(578\) −3.32533 0.478111i −0.138316 0.0198868i
\(579\) 0.640747 0.301026i 0.0266285 0.0125102i
\(580\) −2.25116 7.66674i −0.0934743 0.318344i
\(581\) −14.3606 + 6.55826i −0.595778 + 0.272083i
\(582\) 0.129745 + 12.0107i 0.00537809 + 0.497860i
\(583\) 3.65858 + 25.4460i 0.151523 + 1.05386i
\(584\) −1.21288 + 4.13070i −0.0501894 + 0.170930i
\(585\) −14.6555 8.97719i −0.605930 0.371161i
\(586\) 13.0866 20.3631i 0.540601 0.841192i
\(587\) −19.5497 + 30.4200i −0.806904 + 1.25557i 0.156544 + 0.987671i \(0.449965\pi\)
−0.963448 + 0.267896i \(0.913672\pi\)
\(588\) 21.4572 3.32202i 0.884879 0.136998i
\(589\) −2.35400 + 8.01698i −0.0969948 + 0.330334i
\(590\) −1.95411 13.5911i −0.0804493 0.559537i
\(591\) −30.4169 + 0.328576i −1.25118 + 0.0135158i
\(592\) 2.31659 1.05795i 0.0952111 0.0434815i
\(593\) 4.24596 + 14.4604i 0.174361 + 0.593818i 0.999579 + 0.0290042i \(0.00923363\pi\)
−0.825219 + 0.564813i \(0.808948\pi\)
\(594\) 8.90969 6.14271i 0.365569 0.252039i
\(595\) −24.2076 3.48053i −0.992415 0.142688i
\(596\) −2.64950 + 1.70273i −0.108528 + 0.0697465i
\(597\) 10.0469 11.8511i 0.411194 0.485032i
\(598\) 15.5875 + 9.66085i 0.637420 + 0.395062i
\(599\) 42.6957i 1.74450i −0.489062 0.872249i \(-0.662661\pi\)
0.489062 0.872249i \(-0.337339\pi\)
\(600\) −0.628145 + 4.73108i −0.0256439 + 0.193146i
\(601\) −4.00534 + 27.8577i −0.163381 + 1.13634i 0.728821 + 0.684704i \(0.240069\pi\)
−0.892202 + 0.451636i \(0.850840\pi\)
\(602\) 12.2593 + 5.59864i 0.499652 + 0.228184i
\(603\) −8.36075 + 4.03873i −0.340476 + 0.164470i
\(604\) 1.98336 + 4.34295i 0.0807018 + 0.176712i
\(605\) 6.53645 + 7.54347i 0.265745 + 0.306686i
\(606\) 9.55601 15.2286i 0.388186 0.618621i
\(607\) 20.6007 + 6.04891i 0.836156 + 0.245518i 0.671660 0.740860i \(-0.265582\pi\)
0.164497 + 0.986378i \(0.447400\pi\)
\(608\) −0.580679 + 0.670139i −0.0235496 + 0.0271777i
\(609\) −11.9257 39.0499i −0.483255 1.58238i
\(610\) 8.00467 + 5.14429i 0.324100 + 0.208286i
\(611\) −27.8103 24.0978i −1.12509 0.974892i
\(612\) −1.33955 + 10.9986i −0.0541482 + 0.444593i
\(613\) −28.8038 + 4.14136i −1.16337 + 0.167268i −0.696834 0.717232i \(-0.745409\pi\)
−0.466540 + 0.884500i \(0.654500\pi\)
\(614\) 10.5740 9.16239i 0.426730 0.369764i
\(615\) 0.544090 + 0.153395i 0.0219398 + 0.00618549i
\(616\) −8.83251 + 2.59346i −0.355872 + 0.104493i
\(617\) 9.61666 21.0575i 0.387152 0.847745i −0.611261 0.791429i \(-0.709337\pi\)
0.998413 0.0563157i \(-0.0179353\pi\)
\(618\) −25.0488 + 22.1831i −1.00761 + 0.892336i
\(619\) −0.784765 1.22112i −0.0315424 0.0490809i 0.825124 0.564951i \(-0.191105\pi\)
−0.856667 + 0.515870i \(0.827469\pi\)
\(620\) 14.1171 0.566956
\(621\) −4.74466 24.4640i −0.190396 0.981707i
\(622\) −7.99561 −0.320595
\(623\) −25.2858 39.3455i −1.01305 1.57634i
\(624\) 4.95827 4.39102i 0.198490 0.175782i
\(625\) −1.50800 + 3.30206i −0.0603201 + 0.132083i
\(626\) −8.99677 + 2.64169i −0.359583 + 0.105583i
\(627\) −3.07868 0.867973i −0.122951 0.0346635i
\(628\) 1.71302 1.48434i 0.0683568 0.0592315i
\(629\) −9.31010 + 1.33859i −0.371218 + 0.0533731i
\(630\) 2.40173 19.7199i 0.0956874 0.785658i
\(631\) 8.63569 + 7.48287i 0.343781 + 0.297888i 0.809588 0.586998i \(-0.199690\pi\)
−0.465807 + 0.884886i \(0.654236\pi\)
\(632\) −10.9808 7.05693i −0.436793 0.280710i
\(633\) −6.38211 20.8977i −0.253666 0.830610i
\(634\) −13.4897 + 15.5679i −0.535744 + 0.618281i
\(635\) −19.0419 5.59121i −0.755655 0.221880i
\(636\) 11.3637 18.1094i 0.450599 0.718083i
\(637\) 31.3910 + 36.2272i 1.24376 + 1.43537i
\(638\) 4.61438 + 10.1041i 0.182685 + 0.400024i
\(639\) 30.5338 14.7496i 1.20790 0.583485i
\(640\) 1.36279 + 0.622366i 0.0538690 + 0.0246012i
\(641\) 3.86823 26.9041i 0.152786 1.06265i −0.758736 0.651398i \(-0.774183\pi\)
0.911522 0.411251i \(-0.134908\pi\)
\(642\) 1.24645 9.38809i 0.0491936 0.370518i
\(643\) 26.1567i 1.03152i 0.856733 + 0.515760i \(0.172490\pi\)
−0.856733 + 0.515760i \(0.827510\pi\)
\(644\) −2.67304 + 21.0281i −0.105332 + 0.828623i
\(645\) 5.11662 6.03541i 0.201467 0.237644i
\(646\) 2.75505 1.77056i 0.108396 0.0696618i
\(647\) 3.72851 + 0.536079i 0.146583 + 0.0210755i 0.215216 0.976567i \(-0.430955\pi\)
−0.0686327 + 0.997642i \(0.521864\pi\)
\(648\) −8.95540 0.894845i −0.351801 0.0351528i
\(649\) 5.37771 + 18.3148i 0.211093 + 0.718918i
\(650\) −9.58432 + 4.37701i −0.375928 + 0.171681i
\(651\) 72.1330 0.779209i 2.82711 0.0305396i
\(652\) −1.73443 12.0632i −0.0679254 0.472432i
\(653\) −2.06178 + 7.02179i −0.0806839 + 0.274784i −0.989947 0.141437i \(-0.954828\pi\)
0.909263 + 0.416221i \(0.136646\pi\)
\(654\) 16.5285 2.55896i 0.646315 0.100063i
\(655\) −6.24248 + 9.71350i −0.243914 + 0.379538i
\(656\) −0.117778 + 0.183266i −0.00459845 + 0.00715533i
\(657\) 11.0133 + 6.74617i 0.429670 + 0.263193i
\(658\) 11.9834 40.8118i 0.467163 1.59101i
\(659\) −5.49519 38.2199i −0.214062 1.48884i −0.759403 0.650621i \(-0.774509\pi\)
0.545340 0.838215i \(-0.316400\pi\)
\(660\) 0.0583774 + 5.40411i 0.00227234 + 0.210355i
\(661\) 44.4075 20.2802i 1.72725 0.788810i 0.733187 0.680027i \(-0.238032\pi\)
0.994066 0.108782i \(-0.0346951\pi\)
\(662\) −3.65863 12.4601i −0.142197 0.484277i
\(663\) −22.1396 + 10.4013i −0.859829 + 0.403952i
\(664\) −3.53547 0.508323i −0.137203 0.0197268i
\(665\) −4.93963 + 3.17451i −0.191551 + 0.123102i
\(666\) −1.25042 7.53717i −0.0484529 0.292059i
\(667\) 25.5748 0.418449i 0.990258 0.0162024i
\(668\) 8.84847i 0.342358i
\(669\) −25.3160 3.36120i −0.978773 0.129951i
\(670\) 0.659903 4.58973i 0.0254943 0.177317i
\(671\) −12.0322 5.49491i −0.464497 0.212129i
\(672\) 6.99769 + 3.10483i 0.269942 + 0.119771i
\(673\) −13.5600 29.6923i −0.522701 1.14455i −0.968407 0.249376i \(-0.919775\pi\)
0.445706 0.895179i \(-0.352953\pi\)
\(674\) −2.35618 2.71918i −0.0907567 0.104739i
\(675\) 13.2098 + 5.52273i 0.508446 + 0.212570i
\(676\) 1.55614 + 0.456923i 0.0598515 + 0.0175740i
\(677\) −4.82277 + 5.56578i −0.185354 + 0.213910i −0.840820 0.541315i \(-0.817927\pi\)
0.655466 + 0.755225i \(0.272472\pi\)
\(678\) −9.95500 + 3.04023i −0.382320 + 0.116759i
\(679\) −25.7856 16.5714i −0.989560 0.635952i
\(680\) −4.18173 3.62349i −0.160362 0.138954i
\(681\) −13.2826 20.1854i −0.508992 0.773507i
\(682\) −19.4251 + 2.79291i −0.743827 + 0.106946i
\(683\) 25.0432 21.7001i 0.958252 0.830330i −0.0273133 0.999627i \(-0.508695\pi\)
0.985565 + 0.169297i \(0.0541497\pi\)
\(684\) 1.48620 + 2.20628i 0.0568263 + 0.0843593i
\(685\) 23.0084 6.75588i 0.879106 0.258129i
\(686\) −10.1645 + 22.2572i −0.388083 + 0.849783i
\(687\) 5.11410 + 5.77475i 0.195115 + 0.220321i
\(688\) 1.64851 + 2.56514i 0.0628490 + 0.0977949i
\(689\) 47.1995 1.79816
\(690\) 11.4564 + 4.86040i 0.436138 + 0.185032i
\(691\) 51.7368 1.96816 0.984080 0.177724i \(-0.0568734\pi\)
0.984080 + 0.177724i \(0.0568734\pi\)
\(692\) −9.50005 14.7824i −0.361138 0.561941i
\(693\) 0.596572 + 27.6097i 0.0226619 + 1.04881i
\(694\) 7.96113 17.4324i 0.302200 0.661726i
\(695\) −0.597693 + 0.175499i −0.0226718 + 0.00665704i
\(696\) 2.50668 8.89115i 0.0950155 0.337018i
\(697\) 0.608061 0.526888i 0.0230320 0.0199573i
\(698\) −8.75438 + 1.25869i −0.331358 + 0.0476421i
\(699\) −12.5359 + 8.24901i −0.474151 + 0.312006i
\(700\) −9.20427 7.97554i −0.347889 0.301447i
\(701\) 7.67794 + 4.93431i 0.289992 + 0.186366i 0.677546 0.735481i \(-0.263044\pi\)
−0.387554 + 0.921847i \(0.626680\pi\)
\(702\) −8.83527 17.7968i −0.333466 0.671698i
\(703\) −1.47883 + 1.70666i −0.0557752 + 0.0643680i
\(704\) −1.99833 0.586763i −0.0753149 0.0221145i
\(705\) −21.1523 13.2731i −0.796641 0.499894i
\(706\) −11.2603 12.9951i −0.423786 0.489076i
\(707\) 19.0587 + 41.7327i 0.716776 + 1.56952i
\(708\) 6.43807 14.5102i 0.241958 0.545326i
\(709\) −11.9108 5.43948i −0.447320 0.204284i 0.179002 0.983849i \(-0.442713\pi\)
−0.626322 + 0.779565i \(0.715440\pi\)
\(710\) −2.40999 + 16.7618i −0.0904453 + 0.629061i
\(711\) −29.0333 + 26.2768i −1.08883 + 0.985458i
\(712\) 10.5816i 0.396562i
\(713\) −12.0205 + 43.5623i −0.450173 + 1.63142i
\(714\) −21.5671 18.2838i −0.807127 0.684255i
\(715\) −10.0373 + 6.45058i −0.375374 + 0.241238i
\(716\) −12.4982 1.79697i −0.467079 0.0671558i
\(717\) −16.7967 35.7524i −0.627283 1.33520i
\(718\) 7.36126 + 25.0701i 0.274720 + 0.935609i
\(719\) 10.3331 4.71899i 0.385361 0.175988i −0.213308 0.976985i \(-0.568424\pi\)
0.598669 + 0.800997i \(0.295696\pi\)
\(720\) 2.86923 3.45953i 0.106930 0.128929i
\(721\) −12.1513 84.5145i −0.452540 3.14748i
\(722\) −5.13140 + 17.4759i −0.190971 + 0.650387i
\(723\) 5.18368 + 33.4817i 0.192783 + 1.24520i
\(724\) −9.88349 + 15.3790i −0.367317 + 0.571557i
\(725\) −7.94528 + 12.3631i −0.295080 + 0.459154i
\(726\) 1.76554 + 11.4037i 0.0655253 + 0.423232i
\(727\) −0.576048 + 1.96184i −0.0213644 + 0.0727606i −0.969485 0.245150i \(-0.921163\pi\)
0.948121 + 0.317910i \(0.102981\pi\)
\(728\) 2.40529 + 16.7292i 0.0891460 + 0.620024i
\(729\) −9.60199 + 25.2349i −0.355629 + 0.934627i
\(730\) −5.86693 + 2.67934i −0.217145 + 0.0991667i
\(731\) −3.17275 10.8054i −0.117348 0.399652i
\(732\) 4.67761 + 9.95649i 0.172889 + 0.368003i
\(733\) 45.4669 + 6.53715i 1.67936 + 0.241455i 0.915033 0.403378i \(-0.132164\pi\)
0.764323 + 0.644833i \(0.223073\pi\)
\(734\) −9.16421 + 5.88948i −0.338257 + 0.217385i
\(735\) 24.8129 + 21.0356i 0.915239 + 0.775910i
\(736\) −3.08089 + 3.67534i −0.113563 + 0.135475i
\(737\) 6.44602i 0.237442i
\(738\) 0.438551 + 0.484556i 0.0161433 + 0.0178368i
\(739\) 5.99347 41.6855i 0.220473 1.53343i −0.515781 0.856720i \(-0.672498\pi\)
0.736254 0.676705i \(-0.236593\pi\)
\(740\) 3.47066 + 1.58500i 0.127584 + 0.0582656i
\(741\) −2.38182 + 5.36817i −0.0874984 + 0.197205i
\(742\) 22.6639 + 49.6271i 0.832020 + 1.82187i
\(743\) −23.1670 26.7362i −0.849915 0.980854i 0.150054 0.988678i \(-0.452055\pi\)
−0.999969 + 0.00782329i \(0.997510\pi\)
\(744\) 13.8245 + 8.67489i 0.506830 + 0.318037i
\(745\) −4.52733 1.32934i −0.165868 0.0487033i
\(746\) −10.7316 + 12.3849i −0.392912 + 0.453444i
\(747\) −4.23977 + 9.84102i −0.155125 + 0.360064i
\(748\) 6.47094 + 4.15862i 0.236601 + 0.152054i
\(749\) 18.2644 + 15.8262i 0.667367 + 0.578277i
\(750\) −16.8116 + 11.0625i −0.613871 + 0.403947i
\(751\) −1.69293 + 0.243406i −0.0617758 + 0.00888202i −0.173133 0.984898i \(-0.555389\pi\)
0.111358 + 0.993780i \(0.464480\pi\)
\(752\) 7.27286 6.30197i 0.265214 0.229809i
\(753\) 6.62942 23.5144i 0.241590 0.856914i
\(754\) 19.5681 5.74571i 0.712628 0.209246i
\(755\) −2.97143 + 6.50652i −0.108141 + 0.236796i
\(756\) 14.4697 17.8353i 0.526259 0.648662i
\(757\) 7.66632 + 11.9290i 0.278637 + 0.433568i 0.952161 0.305598i \(-0.0988563\pi\)
−0.673523 + 0.739166i \(0.735220\pi\)
\(758\) 8.40595 0.305318
\(759\) −16.7256 4.42140i −0.607102 0.160487i
\(760\) −1.32847 −0.0481886
\(761\) −5.36055 8.34118i −0.194320 0.302367i 0.730397 0.683022i \(-0.239335\pi\)
−0.924717 + 0.380655i \(0.875699\pi\)
\(762\) −15.2114 17.1765i −0.551052 0.622238i
\(763\) −17.7302 + 38.8238i −0.641878 + 1.40552i
\(764\) −13.9984 + 4.11031i −0.506445 + 0.148706i
\(765\) −13.7674 + 9.27403i −0.497761 + 0.335303i
\(766\) 11.0351 9.56193i 0.398713 0.345487i
\(767\) 34.6891 4.98753i 1.25255 0.180089i
\(768\) 0.952102 + 1.44689i 0.0343560 + 0.0522103i
\(769\) 6.27029 + 5.43323i 0.226112 + 0.195927i 0.760548 0.649282i \(-0.224930\pi\)
−0.534436 + 0.845209i \(0.679476\pi\)
\(770\) −11.6020 7.45614i −0.418107 0.268701i
\(771\) −13.2859 + 4.05748i −0.478480 + 0.146127i
\(772\) −0.267659 + 0.308895i −0.00963326 + 0.0111174i