Properties

Label 192.2.r.a.181.16
Level $192$
Weight $2$
Character 192.181
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 181.16
Character \(\chi\) \(=\) 192.181
Dual form 192.2.r.a.157.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41364 + 0.0401896i) q^{2} +(0.980785 - 0.195090i) q^{3} +(1.99677 + 0.113627i) q^{4} +(-1.10999 - 1.66121i) q^{5} +(1.39432 - 0.236371i) q^{6} +(-1.97014 - 0.816058i) q^{7} +(2.81815 + 0.240878i) q^{8} +(0.923880 - 0.382683i) q^{9} +O(q^{10})\) \(q+(1.41364 + 0.0401896i) q^{2} +(0.980785 - 0.195090i) q^{3} +(1.99677 + 0.113627i) q^{4} +(-1.10999 - 1.66121i) q^{5} +(1.39432 - 0.236371i) q^{6} +(-1.97014 - 0.816058i) q^{7} +(2.81815 + 0.240878i) q^{8} +(0.923880 - 0.382683i) q^{9} +(-1.50236 - 2.39297i) q^{10} +(-0.842610 + 4.23609i) q^{11} +(1.98057 - 0.278106i) q^{12} +(0.0329800 - 0.0493581i) q^{13} +(-2.75228 - 1.23279i) q^{14} +(-1.41274 - 1.41274i) q^{15} +(3.97418 + 0.453775i) q^{16} +(-5.58211 + 5.58211i) q^{17} +(1.32142 - 0.503847i) q^{18} +(0.497860 + 0.332660i) q^{19} +(-2.02763 - 3.44318i) q^{20} +(-2.09149 - 0.416023i) q^{21} +(-1.36140 + 5.95445i) q^{22} +(0.591778 + 1.42868i) q^{23} +(2.81099 - 0.313545i) q^{24} +(0.385862 - 0.931552i) q^{25} +(0.0486057 - 0.0684493i) q^{26} +(0.831470 - 0.555570i) q^{27} +(-3.84119 - 1.85334i) q^{28} +(-1.85270 - 9.31417i) q^{29} +(-1.94034 - 2.05389i) q^{30} +2.71983i q^{31} +(5.59983 + 0.801196i) q^{32} +4.31907i q^{33} +(-8.11545 + 7.66677i) q^{34} +(0.831182 + 4.17863i) q^{35} +(1.88826 - 0.659153i) q^{36} +(7.23331 - 4.83314i) q^{37} +(0.690427 + 0.490270i) q^{38} +(0.0227170 - 0.0548438i) q^{39} +(-2.72796 - 4.94892i) q^{40} +(-3.74021 - 9.02966i) q^{41} +(-2.93990 - 0.672164i) q^{42} +(1.17912 + 0.234541i) q^{43} +(-2.16383 + 8.36274i) q^{44} +(-1.66121 - 1.10999i) q^{45} +(0.779145 + 2.04342i) q^{46} +(-6.16559 + 6.16559i) q^{47} +(3.98634 - 0.330268i) q^{48} +(-1.73425 - 1.73425i) q^{49} +(0.582909 - 1.30137i) q^{50} +(-4.38584 + 6.56387i) q^{51} +(0.0714620 - 0.0948093i) q^{52} +(-0.912311 + 4.58650i) q^{53} +(1.19773 - 0.751961i) q^{54} +(7.97232 - 3.30224i) q^{55} +(-5.35558 - 2.77434i) q^{56} +(0.553193 + 0.229140i) q^{57} +(-2.24473 - 13.2414i) q^{58} +(1.50493 + 2.25229i) q^{59} +(-2.66040 - 2.98145i) q^{60} +(-2.18682 + 0.434985i) q^{61} +(-0.109309 + 3.84486i) q^{62} -2.13246 q^{63} +(7.88396 + 1.35766i) q^{64} -0.118602 q^{65} +(-0.173582 + 6.10563i) q^{66} +(14.1219 - 2.80902i) q^{67} +(-11.7805 + 10.5119i) q^{68} +(0.859128 + 1.28578i) q^{69} +(1.00706 + 5.94050i) q^{70} +(-0.535260 - 0.221712i) q^{71} +(2.69581 - 0.855918i) q^{72} +(-2.44344 + 1.01210i) q^{73} +(10.4196 - 6.54163i) q^{74} +(0.196711 - 0.988931i) q^{75} +(0.956313 + 0.720815i) q^{76} +(5.11695 - 7.65806i) q^{77} +(0.0343179 - 0.0766165i) q^{78} +(-6.21967 - 6.21967i) q^{79} +(-3.65747 - 7.10564i) q^{80} +(0.707107 - 0.707107i) q^{81} +(-4.92442 - 12.9150i) q^{82} +(4.16682 + 2.78418i) q^{83} +(-4.12895 - 1.06835i) q^{84} +(15.4691 + 3.07700i) q^{85} +(1.65742 + 0.378945i) q^{86} +(-3.63421 - 8.77375i) q^{87} +(-3.39498 + 11.7350i) q^{88} +(-0.479081 + 1.15660i) q^{89} +(-2.30375 - 1.63589i) q^{90} +(-0.105254 + 0.0703287i) q^{91} +(1.01931 + 2.91998i) q^{92} +(0.530612 + 2.66756i) q^{93} +(-8.96373 + 8.46815i) q^{94} -1.19630i q^{95} +(5.64854 - 0.306671i) q^{96} +0.928685i q^{97} +(-2.38191 - 2.52131i) q^{98} +(0.842610 + 4.23609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{16}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41364 + 0.0401896i 0.999596 + 0.0284183i
\(3\) 0.980785 0.195090i 0.566257 0.112635i
\(4\) 1.99677 + 0.113627i 0.998385 + 0.0568137i
\(5\) −1.10999 1.66121i −0.496401 0.742917i 0.495682 0.868504i \(-0.334918\pi\)
−0.992083 + 0.125588i \(0.959918\pi\)
\(6\) 1.39432 0.236371i 0.569229 0.0964979i
\(7\) −1.97014 0.816058i −0.744643 0.308441i −0.0220891 0.999756i \(-0.507032\pi\)
−0.722554 + 0.691315i \(0.757032\pi\)
\(8\) 2.81815 + 0.240878i 0.996367 + 0.0851631i
\(9\) 0.923880 0.382683i 0.307960 0.127561i
\(10\) −1.50236 2.39297i −0.475088 0.756723i
\(11\) −0.842610 + 4.23609i −0.254056 + 1.27723i 0.617359 + 0.786682i \(0.288203\pi\)
−0.871415 + 0.490546i \(0.836797\pi\)
\(12\) 1.98057 0.278106i 0.571741 0.0802824i
\(13\) 0.0329800 0.0493581i 0.00914702 0.0136895i −0.826868 0.562396i \(-0.809880\pi\)
0.836015 + 0.548707i \(0.184880\pi\)
\(14\) −2.75228 1.23279i −0.735577 0.329478i
\(15\) −1.41274 1.41274i −0.364769 0.364769i
\(16\) 3.97418 + 0.453775i 0.993544 + 0.113444i
\(17\) −5.58211 + 5.58211i −1.35386 + 1.35386i −0.472565 + 0.881296i \(0.656672\pi\)
−0.881296 + 0.472565i \(0.843328\pi\)
\(18\) 1.32142 0.503847i 0.311461 0.118758i
\(19\) 0.497860 + 0.332660i 0.114217 + 0.0763173i 0.611367 0.791347i \(-0.290620\pi\)
−0.497150 + 0.867665i \(0.665620\pi\)
\(20\) −2.02763 3.44318i −0.453391 0.769919i
\(21\) −2.09149 0.416023i −0.456400 0.0907837i
\(22\) −1.36140 + 5.95445i −0.290250 + 1.26949i
\(23\) 0.591778 + 1.42868i 0.123394 + 0.297900i 0.973491 0.228727i \(-0.0734564\pi\)
−0.850096 + 0.526627i \(0.823456\pi\)
\(24\) 2.81099 0.313545i 0.573792 0.0640021i
\(25\) 0.385862 0.931552i 0.0771723 0.186310i
\(26\) 0.0486057 0.0684493i 0.00953235 0.0134240i
\(27\) 0.831470 0.555570i 0.160016 0.106920i
\(28\) −3.84119 1.85334i −0.725916 0.350249i
\(29\) −1.85270 9.31417i −0.344038 1.72960i −0.634689 0.772768i \(-0.718872\pi\)
0.290650 0.956829i \(-0.406128\pi\)
\(30\) −1.94034 2.05389i −0.354256 0.374988i
\(31\) 2.71983i 0.488495i 0.969713 + 0.244248i \(0.0785409\pi\)
−0.969713 + 0.244248i \(0.921459\pi\)
\(32\) 5.59983 + 0.801196i 0.989919 + 0.141633i
\(33\) 4.31907i 0.751854i
\(34\) −8.11545 + 7.66677i −1.39179 + 1.31484i
\(35\) 0.831182 + 4.17863i 0.140495 + 0.706318i
\(36\) 1.88826 0.659153i 0.314710 0.109859i
\(37\) 7.23331 4.83314i 1.18915 0.794564i 0.206212 0.978507i \(-0.433886\pi\)
0.982937 + 0.183943i \(0.0588863\pi\)
\(38\) 0.690427 + 0.490270i 0.112002 + 0.0795324i
\(39\) 0.0227170 0.0548438i 0.00363764 0.00878204i
\(40\) −2.72796 4.94892i −0.431328 0.782493i
\(41\) −3.74021 9.02966i −0.584122 1.41020i −0.889046 0.457819i \(-0.848631\pi\)
0.304924 0.952377i \(-0.401369\pi\)
\(42\) −2.93990 0.672164i −0.453636 0.103717i
\(43\) 1.17912 + 0.234541i 0.179813 + 0.0357671i 0.284176 0.958772i \(-0.408280\pi\)
−0.104362 + 0.994539i \(0.533280\pi\)
\(44\) −2.16383 + 8.36274i −0.326210 + 1.26073i
\(45\) −1.66121 1.10999i −0.247639 0.165467i
\(46\) 0.779145 + 2.04342i 0.114879 + 0.301286i
\(47\) −6.16559 + 6.16559i −0.899344 + 0.899344i −0.995378 0.0960341i \(-0.969384\pi\)
0.0960341 + 0.995378i \(0.469384\pi\)
\(48\) 3.98634 0.330268i 0.575379 0.0476700i
\(49\) −1.73425 1.73425i −0.247750 0.247750i
\(50\) 0.582909 1.30137i 0.0824358 0.184042i
\(51\) −4.38584 + 6.56387i −0.614140 + 0.919126i
\(52\) 0.0714620 0.0948093i 0.00990999 0.0131477i
\(53\) −0.912311 + 4.58650i −0.125316 + 0.630004i 0.866166 + 0.499756i \(0.166577\pi\)
−0.991482 + 0.130247i \(0.958423\pi\)
\(54\) 1.19773 0.751961i 0.162990 0.102329i
\(55\) 7.97232 3.30224i 1.07499 0.445274i
\(56\) −5.35558 2.77434i −0.715670 0.370737i
\(57\) 0.553193 + 0.229140i 0.0732721 + 0.0303503i
\(58\) −2.24473 13.2414i −0.294747 1.73868i
\(59\) 1.50493 + 2.25229i 0.195925 + 0.293223i 0.916404 0.400254i \(-0.131078\pi\)
−0.720479 + 0.693477i \(0.756078\pi\)
\(60\) −2.66040 2.98145i −0.343456 0.384904i
\(61\) −2.18682 + 0.434985i −0.279993 + 0.0556941i −0.333089 0.942895i \(-0.608091\pi\)
0.0530962 + 0.998589i \(0.483091\pi\)
\(62\) −0.109309 + 3.84486i −0.0138822 + 0.488298i
\(63\) −2.13246 −0.268665
\(64\) 7.88396 + 1.35766i 0.985494 + 0.169707i
\(65\) −0.118602 −0.0147107
\(66\) −0.173582 + 6.10563i −0.0213664 + 0.751551i
\(67\) 14.1219 2.80902i 1.72526 0.343176i 0.769799 0.638287i \(-0.220357\pi\)
0.955463 + 0.295111i \(0.0953566\pi\)
\(68\) −11.7805 + 10.5119i −1.42859 + 1.27476i
\(69\) 0.859128 + 1.28578i 0.103427 + 0.154789i
\(70\) 1.00706 + 5.94050i 0.120366 + 0.710025i
\(71\) −0.535260 0.221712i −0.0635237 0.0263124i 0.350695 0.936490i \(-0.385945\pi\)
−0.414219 + 0.910177i \(0.635945\pi\)
\(72\) 2.69581 0.855918i 0.317705 0.100871i
\(73\) −2.44344 + 1.01210i −0.285983 + 0.118458i −0.521063 0.853518i \(-0.674465\pi\)
0.235081 + 0.971976i \(0.424465\pi\)
\(74\) 10.4196 6.54163i 1.21125 0.760449i
\(75\) 0.196711 0.988931i 0.0227142 0.114192i
\(76\) 0.956313 + 0.720815i 0.109697 + 0.0826831i
\(77\) 5.11695 7.65806i 0.583131 0.872717i
\(78\) 0.0343179 0.0766165i 0.00388574 0.00867511i
\(79\) −6.21967 6.21967i −0.699768 0.699768i 0.264592 0.964360i \(-0.414763\pi\)
−0.964360 + 0.264592i \(0.914763\pi\)
\(80\) −3.65747 7.10564i −0.408917 0.794434i
\(81\) 0.707107 0.707107i 0.0785674 0.0785674i
\(82\) −4.92442 12.9150i −0.543811 1.42623i
\(83\) 4.16682 + 2.78418i 0.457368 + 0.305604i 0.762828 0.646601i \(-0.223810\pi\)
−0.305460 + 0.952205i \(0.598810\pi\)
\(84\) −4.12895 1.06835i −0.450505 0.116567i
\(85\) 15.4691 + 3.07700i 1.67786 + 0.333748i
\(86\) 1.65742 + 0.378945i 0.178724 + 0.0408627i
\(87\) −3.63421 8.77375i −0.389628 0.940645i
\(88\) −3.39498 + 11.7350i −0.361906 + 1.25095i
\(89\) −0.479081 + 1.15660i −0.0507825 + 0.122600i −0.947235 0.320540i \(-0.896136\pi\)
0.896452 + 0.443140i \(0.146136\pi\)
\(90\) −2.30375 1.63589i −0.242837 0.172438i
\(91\) −0.105254 + 0.0703287i −0.0110337 + 0.00737245i
\(92\) 1.01931 + 2.91998i 0.106270 + 0.304429i
\(93\) 0.530612 + 2.66756i 0.0550219 + 0.276614i
\(94\) −8.96373 + 8.46815i −0.924539 + 0.873423i
\(95\) 1.19630i 0.122738i
\(96\) 5.64854 0.306671i 0.576501 0.0312995i
\(97\) 0.928685i 0.0942937i 0.998888 + 0.0471468i \(0.0150129\pi\)
−0.998888 + 0.0471468i \(0.984987\pi\)
\(98\) −2.38191 2.52131i −0.240609 0.254691i
\(99\) 0.842610 + 4.23609i 0.0846855 + 0.425743i
\(100\) 0.876326 1.81625i 0.0876326 0.181625i
\(101\) 9.04526 6.04385i 0.900037 0.601386i −0.0171452 0.999853i \(-0.505458\pi\)
0.917183 + 0.398467i \(0.130458\pi\)
\(102\) −6.46380 + 9.10270i −0.640012 + 0.901301i
\(103\) −1.98179 + 4.78448i −0.195272 + 0.471428i −0.990940 0.134304i \(-0.957120\pi\)
0.795668 + 0.605733i \(0.207120\pi\)
\(104\) 0.104832 0.131154i 0.0102796 0.0128608i
\(105\) 1.63042 + 3.93619i 0.159113 + 0.384132i
\(106\) −1.47401 + 6.44700i −0.143169 + 0.626188i
\(107\) −2.70692 0.538439i −0.261687 0.0520529i 0.0625027 0.998045i \(-0.480092\pi\)
−0.324190 + 0.945992i \(0.605092\pi\)
\(108\) 1.72338 1.01487i 0.165832 0.0976557i
\(109\) 6.38579 + 4.26685i 0.611648 + 0.408690i 0.822449 0.568839i \(-0.192607\pi\)
−0.210801 + 0.977529i \(0.567607\pi\)
\(110\) 11.4027 4.34779i 1.08721 0.414545i
\(111\) 6.15143 6.15143i 0.583867 0.583867i
\(112\) −7.45938 4.13716i −0.704845 0.390925i
\(113\) 11.9559 + 11.9559i 1.12471 + 1.12471i 0.991023 + 0.133691i \(0.0426829\pi\)
0.133691 + 0.991023i \(0.457317\pi\)
\(114\) 0.772807 + 0.346154i 0.0723801 + 0.0324203i
\(115\) 1.71647 2.56888i 0.160062 0.239550i
\(116\) −2.64108 18.8088i −0.245218 1.74635i
\(117\) 0.0115810 0.0582219i 0.00107067 0.00538261i
\(118\) 2.03691 + 3.24441i 0.187513 + 0.298672i
\(119\) 15.5529 6.44221i 1.42573 0.590556i
\(120\) −3.64103 4.32163i −0.332379 0.394509i
\(121\) −7.07175 2.92922i −0.642886 0.266292i
\(122\) −3.10886 + 0.527025i −0.281463 + 0.0477146i
\(123\) −5.42994 8.12648i −0.489601 0.732740i
\(124\) −0.309046 + 5.43086i −0.0277532 + 0.487706i
\(125\) −11.7735 + 2.34189i −1.05305 + 0.209465i
\(126\) −3.01454 0.0857027i −0.268557 0.00763501i
\(127\) −18.4252 −1.63497 −0.817486 0.575949i \(-0.804633\pi\)
−0.817486 + 0.575949i \(0.804633\pi\)
\(128\) 11.0905 + 2.23610i 0.980274 + 0.197645i
\(129\) 1.20222 0.105849
\(130\) −0.167660 0.00476655i −0.0147048 0.000418054i
\(131\) 12.9302 2.57199i 1.12972 0.224715i 0.405374 0.914151i \(-0.367141\pi\)
0.724347 + 0.689436i \(0.242141\pi\)
\(132\) −0.490765 + 8.62420i −0.0427156 + 0.750640i
\(133\) −0.709384 1.06167i −0.0615114 0.0920583i
\(134\) 20.0762 3.40339i 1.73432 0.294008i
\(135\) −1.84584 0.764572i −0.158865 0.0658039i
\(136\) −17.0758 + 14.3866i −1.46424 + 1.23364i
\(137\) 12.2391 5.06960i 1.04566 0.433125i 0.207317 0.978274i \(-0.433527\pi\)
0.838340 + 0.545148i \(0.183527\pi\)
\(138\) 1.16283 + 1.85216i 0.0989863 + 0.157666i
\(139\) 3.93565 19.7858i 0.333817 1.67821i −0.340870 0.940110i \(-0.610722\pi\)
0.674688 0.738103i \(-0.264278\pi\)
\(140\) 1.18487 + 8.43821i 0.100140 + 0.713159i
\(141\) −4.84427 + 7.24997i −0.407961 + 0.610558i
\(142\) −0.747756 0.334933i −0.0627503 0.0281070i
\(143\) 0.181296 + 0.181296i 0.0151607 + 0.0151607i
\(144\) 3.84531 1.10162i 0.320443 0.0918015i
\(145\) −13.4163 + 13.4163i −1.11417 + 1.11417i
\(146\) −3.49482 + 1.33255i −0.289234 + 0.110283i
\(147\) −2.03926 1.36259i −0.168196 0.112385i
\(148\) 14.9924 8.82877i 1.23237 0.725721i
\(149\) −17.0212 3.38574i −1.39443 0.277370i −0.560007 0.828488i \(-0.689202\pi\)
−0.834428 + 0.551118i \(0.814202\pi\)
\(150\) 0.317823 1.39009i 0.0259501 0.113500i
\(151\) 4.42360 + 10.6795i 0.359988 + 0.869087i 0.995301 + 0.0968323i \(0.0308711\pi\)
−0.635313 + 0.772255i \(0.719129\pi\)
\(152\) 1.32292 + 1.05741i 0.107303 + 0.0857671i
\(153\) −3.02102 + 7.29338i −0.244235 + 0.589635i
\(154\) 7.54131 10.6201i 0.607696 0.855793i
\(155\) 4.51821 3.01897i 0.362911 0.242489i
\(156\) 0.0515925 0.106929i 0.00413070 0.00856118i
\(157\) −1.07547 5.40676i −0.0858320 0.431507i −0.999676 0.0254419i \(-0.991901\pi\)
0.913844 0.406065i \(-0.133099\pi\)
\(158\) −8.54243 9.04236i −0.679599 0.719371i
\(159\) 4.67635i 0.370859i
\(160\) −4.88478 10.1918i −0.386176 0.805734i
\(161\) 3.29762i 0.259889i
\(162\) 1.02801 0.971178i 0.0807684 0.0763029i
\(163\) 2.42050 + 12.1687i 0.189588 + 0.953125i 0.952015 + 0.306051i \(0.0990077\pi\)
−0.762427 + 0.647074i \(0.775992\pi\)
\(164\) −6.44231 18.4551i −0.503060 1.44110i
\(165\) 7.17490 4.79411i 0.558565 0.373221i
\(166\) 5.77850 + 4.10330i 0.448499 + 0.318478i
\(167\) 3.92933 9.48624i 0.304061 0.734067i −0.695814 0.718222i \(-0.744956\pi\)
0.999874 0.0158452i \(-0.00504390\pi\)
\(168\) −5.79392 1.67621i −0.447011 0.129322i
\(169\) 4.97354 + 12.0072i 0.382580 + 0.923629i
\(170\) 21.7442 + 4.97148i 1.66770 + 0.381295i
\(171\) 0.587266 + 0.116814i 0.0449094 + 0.00893303i
\(172\) 2.32777 + 0.602303i 0.177491 + 0.0459252i
\(173\) 0.915174 + 0.611500i 0.0695794 + 0.0464915i 0.589873 0.807496i \(-0.299178\pi\)
−0.520294 + 0.853987i \(0.674178\pi\)
\(174\) −4.78486 12.5490i −0.362739 0.951338i
\(175\) −1.52040 + 1.52040i −0.114932 + 0.114932i
\(176\) −5.27091 + 16.4526i −0.397310 + 1.24016i
\(177\) 1.91541 + 1.91541i 0.143971 + 0.143971i
\(178\) −0.723733 + 1.61577i −0.0542461 + 0.121107i
\(179\) −13.3510 + 19.9811i −0.997898 + 1.49346i −0.133250 + 0.991082i \(0.542541\pi\)
−0.864648 + 0.502378i \(0.832459\pi\)
\(180\) −3.19093 2.40515i −0.237838 0.179269i
\(181\) −3.54131 + 17.8034i −0.263224 + 1.32332i 0.592369 + 0.805667i \(0.298193\pi\)
−0.855593 + 0.517649i \(0.826807\pi\)
\(182\) −0.151619 + 0.0951895i −0.0112387 + 0.00705592i
\(183\) −2.05993 + 0.853253i −0.152275 + 0.0630743i
\(184\) 1.32358 + 4.16878i 0.0975759 + 0.307326i
\(185\) −16.0578 6.65134i −1.18059 0.489016i
\(186\) 0.642887 + 3.79231i 0.0471387 + 0.278065i
\(187\) −18.9428 28.3498i −1.38523 2.07315i
\(188\) −13.0118 + 11.6107i −0.948986 + 0.846796i
\(189\) −2.09149 + 0.416023i −0.152133 + 0.0302612i
\(190\) 0.0480787 1.69114i 0.00348800 0.122688i
\(191\) −22.1209 −1.60061 −0.800305 0.599593i \(-0.795329\pi\)
−0.800305 + 0.599593i \(0.795329\pi\)
\(192\) 7.99733 0.206511i 0.577158 0.0149036i
\(193\) −22.9272 −1.65033 −0.825167 0.564889i \(-0.808919\pi\)
−0.825167 + 0.564889i \(0.808919\pi\)
\(194\) −0.0373234 + 1.31283i −0.00267967 + 0.0942556i
\(195\) −0.116323 + 0.0231380i −0.00833005 + 0.00165695i
\(196\) −3.26584 3.65996i −0.233274 0.261425i
\(197\) 5.52472 + 8.26833i 0.393620 + 0.589094i 0.974360 0.224995i \(-0.0722367\pi\)
−0.580740 + 0.814089i \(0.697237\pi\)
\(198\) 1.02090 + 6.02217i 0.0725524 + 0.427977i
\(199\) −22.2207 9.20412i −1.57518 0.652462i −0.587542 0.809193i \(-0.699904\pi\)
−0.987641 + 0.156731i \(0.949904\pi\)
\(200\) 1.31181 2.53231i 0.0927587 0.179061i
\(201\) 13.3025 5.51008i 0.938287 0.388651i
\(202\) 13.0297 8.18032i 0.916764 0.575565i
\(203\) −3.95082 + 19.8621i −0.277293 + 1.39405i
\(204\) −9.50334 + 12.6082i −0.665367 + 0.882749i
\(205\) −10.8486 + 16.2361i −0.757699 + 1.13398i
\(206\) −2.99383 + 6.68389i −0.208590 + 0.465689i
\(207\) 1.09346 + 1.09346i 0.0760009 + 0.0760009i
\(208\) 0.153466 0.181192i 0.0106410 0.0125634i
\(209\) −1.82868 + 1.82868i −0.126492 + 0.126492i
\(210\) 2.14664 + 5.62989i 0.148132 + 0.388499i
\(211\) −11.4336 7.63969i −0.787122 0.525938i 0.0958322 0.995398i \(-0.469449\pi\)
−0.882954 + 0.469460i \(0.844449\pi\)
\(212\) −2.34283 + 9.05451i −0.160906 + 0.621867i
\(213\) −0.568229 0.113028i −0.0389344 0.00774454i
\(214\) −3.80497 0.869950i −0.260103 0.0594686i
\(215\) −0.919181 2.21910i −0.0626876 0.151341i
\(216\) 2.47703 1.36540i 0.168541 0.0929036i
\(217\) 2.21954 5.35843i 0.150672 0.363754i
\(218\) 8.85574 + 6.28844i 0.599787 + 0.425907i
\(219\) −2.19904 + 1.46935i −0.148597 + 0.0992894i
\(220\) 16.2941 5.68795i 1.09855 0.383481i
\(221\) 0.0914243 + 0.459621i 0.00614986 + 0.0309174i
\(222\) 8.94314 8.44869i 0.600224 0.567039i
\(223\) 21.1944i 1.41928i 0.704563 + 0.709642i \(0.251143\pi\)
−0.704563 + 0.709642i \(0.748857\pi\)
\(224\) −10.3786 6.14826i −0.693451 0.410798i
\(225\) 1.00830i 0.0672203i
\(226\) 16.4208 + 17.3818i 1.09230 + 1.15622i
\(227\) −4.19059 21.0675i −0.278139 1.39830i −0.826913 0.562330i \(-0.809905\pi\)
0.548774 0.835971i \(-0.315095\pi\)
\(228\) 1.07856 + 0.520397i 0.0714295 + 0.0344642i
\(229\) 11.7649 7.86103i 0.777444 0.519472i −0.102395 0.994744i \(-0.532650\pi\)
0.879839 + 0.475272i \(0.157650\pi\)
\(230\) 2.52972 3.56250i 0.166805 0.234904i
\(231\) 3.52462 8.50918i 0.231903 0.559863i
\(232\) −2.97762 26.6950i −0.195491 1.75261i
\(233\) −4.03616 9.74415i −0.264418 0.638360i 0.734785 0.678301i \(-0.237283\pi\)
−0.999202 + 0.0399401i \(0.987283\pi\)
\(234\) 0.0187114 0.0818395i 0.00122320 0.00535001i
\(235\) 17.0861 + 3.39863i 1.11457 + 0.221702i
\(236\) 2.74908 + 4.66830i 0.178950 + 0.303880i
\(237\) −7.31356 4.88677i −0.475067 0.317430i
\(238\) 22.2451 8.48192i 1.44194 0.549801i
\(239\) 14.7054 14.7054i 0.951215 0.951215i −0.0476488 0.998864i \(-0.515173\pi\)
0.998864 + 0.0476488i \(0.0151728\pi\)
\(240\) −4.97343 6.25557i −0.321034 0.403795i
\(241\) 10.5449 + 10.5449i 0.679256 + 0.679256i 0.959832 0.280576i \(-0.0905255\pi\)
−0.280576 + 0.959832i \(0.590526\pi\)
\(242\) −9.87920 4.42507i −0.635059 0.284454i
\(243\) 0.555570 0.831470i 0.0356398 0.0533388i
\(244\) −4.41599 + 0.620082i −0.282705 + 0.0396967i
\(245\) −0.955963 + 4.80595i −0.0610743 + 0.307041i
\(246\) −7.34939 11.7062i −0.468580 0.746357i
\(247\) 0.0328389 0.0136023i 0.00208949 0.000865495i
\(248\) −0.655145 + 7.66488i −0.0416018 + 0.486720i
\(249\) 4.62992 + 1.91778i 0.293409 + 0.121534i
\(250\) −16.7376 + 2.83742i −1.05858 + 0.179454i
\(251\) −4.15564 6.21936i −0.262302 0.392562i 0.676819 0.736149i \(-0.263358\pi\)
−0.939121 + 0.343587i \(0.888358\pi\)
\(252\) −4.25804 0.242306i −0.268231 0.0152638i
\(253\) −6.55064 + 1.30300i −0.411835 + 0.0819191i
\(254\) −26.0466 0.740500i −1.63431 0.0464631i
\(255\) 15.7722 0.987693
\(256\) 15.5882 + 3.60677i 0.974261 + 0.225423i
\(257\) 24.1168 1.50437 0.752184 0.658954i \(-0.229001\pi\)
0.752184 + 0.658954i \(0.229001\pi\)
\(258\) 1.69950 + 0.0483165i 0.105806 + 0.00300806i
\(259\) −18.1948 + 3.61916i −1.13057 + 0.224884i
\(260\) −0.236820 0.0134764i −0.0146870 0.000835770i
\(261\) −5.27605 7.89617i −0.326579 0.488761i
\(262\) 18.3821 3.11621i 1.13565 0.192520i
\(263\) 10.3721 + 4.29628i 0.639574 + 0.264920i 0.678815 0.734310i \(-0.262494\pi\)
−0.0392409 + 0.999230i \(0.512494\pi\)
\(264\) −1.04037 + 12.1718i −0.0640303 + 0.749123i
\(265\) 8.63180 3.57541i 0.530247 0.219636i
\(266\) −0.960148 1.52933i −0.0588704 0.0937692i
\(267\) −0.244234 + 1.22784i −0.0149468 + 0.0751429i
\(268\) 28.5173 4.00433i 1.74197 0.244603i
\(269\) 0.548849 0.821411i 0.0334639 0.0500823i −0.814360 0.580359i \(-0.802912\pi\)
0.847824 + 0.530277i \(0.177912\pi\)
\(270\) −2.57863 1.15501i −0.156930 0.0702920i
\(271\) 15.0109 + 15.0109i 0.911848 + 0.911848i 0.996418 0.0845699i \(-0.0269516\pi\)
−0.0845699 + 0.996418i \(0.526952\pi\)
\(272\) −24.7173 + 19.6513i −1.49871 + 1.19153i
\(273\) −0.0895115 + 0.0895115i −0.00541748 + 0.00541748i
\(274\) 17.5055 6.67472i 1.05754 0.403235i
\(275\) 3.62100 + 2.41948i 0.218355 + 0.145900i
\(276\) 1.56938 + 2.66502i 0.0944657 + 0.160415i
\(277\) 19.9079 + 3.95994i 1.19615 + 0.237930i 0.752697 0.658367i \(-0.228752\pi\)
0.443455 + 0.896296i \(0.353752\pi\)
\(278\) 6.35879 27.8119i 0.381375 1.66805i
\(279\) 1.04083 + 2.51279i 0.0623130 + 0.150437i
\(280\) 1.33586 + 11.9762i 0.0798327 + 0.715717i
\(281\) −0.479897 + 1.15857i −0.0286283 + 0.0691147i −0.937547 0.347858i \(-0.886909\pi\)
0.908919 + 0.416973i \(0.136909\pi\)
\(282\) −7.13944 + 10.0542i −0.425148 + 0.598717i
\(283\) −8.48093 + 5.66677i −0.504139 + 0.336855i −0.781494 0.623913i \(-0.785542\pi\)
0.277355 + 0.960767i \(0.410542\pi\)
\(284\) −1.04360 0.503528i −0.0619262 0.0298789i
\(285\) −0.233386 1.17331i −0.0138246 0.0695010i
\(286\) 0.249001 + 0.263574i 0.0147238 + 0.0155854i
\(287\) 20.8419i 1.23026i
\(288\) 5.48017 1.40275i 0.322922 0.0826580i
\(289\) 45.3199i 2.66588i
\(290\) −19.5051 + 18.4267i −1.14538 + 1.08205i
\(291\) 0.181177 + 0.910841i 0.0106208 + 0.0533944i
\(292\) −4.99398 + 1.74330i −0.292251 + 0.102019i
\(293\) −16.8634 + 11.2678i −0.985172 + 0.658271i −0.940166 0.340716i \(-0.889331\pi\)
−0.0450055 + 0.998987i \(0.514331\pi\)
\(294\) −2.82803 2.00817i −0.164934 0.117119i
\(295\) 2.07107 5.00001i 0.120583 0.291112i
\(296\) 21.5488 11.8782i 1.25250 0.690406i
\(297\) 1.65284 + 3.99030i 0.0959074 + 0.231541i
\(298\) −23.9259 5.47030i −1.38599 0.316886i
\(299\) 0.0900337 + 0.0179088i 0.00520679 + 0.00103569i
\(300\) 0.505155 1.95231i 0.0291651 0.112717i
\(301\) −2.13162 1.42430i −0.122865 0.0820956i
\(302\) 5.82419 + 15.2748i 0.335144 + 0.878966i
\(303\) 7.69236 7.69236i 0.441915 0.441915i
\(304\) 1.82763 + 1.54796i 0.104822 + 0.0887819i
\(305\) 3.14994 + 3.14994i 0.180365 + 0.180365i
\(306\) −4.56376 + 10.1888i −0.260893 + 0.582456i
\(307\) −2.09175 + 3.13053i −0.119383 + 0.178669i −0.886348 0.463020i \(-0.846766\pi\)
0.766965 + 0.641689i \(0.221766\pi\)
\(308\) 11.0875 14.7100i 0.631771 0.838177i
\(309\) −1.01031 + 5.07917i −0.0574745 + 0.288944i
\(310\) 6.50846 4.08616i 0.369656 0.232078i
\(311\) 22.9718 9.51523i 1.30261 0.539559i 0.379891 0.925031i \(-0.375961\pi\)
0.922720 + 0.385472i \(0.125961\pi\)
\(312\) 0.0772307 0.149086i 0.00437233 0.00844034i
\(313\) −2.62201 1.08607i −0.148205 0.0613885i 0.307348 0.951597i \(-0.400558\pi\)
−0.455553 + 0.890209i \(0.650558\pi\)
\(314\) −1.30304 7.68645i −0.0735347 0.433772i
\(315\) 2.36701 + 3.54247i 0.133366 + 0.199596i
\(316\) −11.7125 13.1260i −0.658881 0.738394i
\(317\) −2.91167 + 0.579168i −0.163536 + 0.0325293i −0.276179 0.961106i \(-0.589068\pi\)
0.112643 + 0.993636i \(0.464068\pi\)
\(318\) −0.187940 + 6.61069i −0.0105392 + 0.370709i
\(319\) 41.0167 2.29649
\(320\) −6.49572 14.6039i −0.363122 0.816383i
\(321\) −2.75995 −0.154045
\(322\) 0.132530 4.66166i 0.00738560 0.259784i
\(323\) −4.63605 + 0.922168i −0.257957 + 0.0513108i
\(324\) 1.49228 1.33158i 0.0829042 0.0739768i
\(325\) −0.0332539 0.0497680i −0.00184460 0.00276063i
\(326\) 2.93267 + 17.2995i 0.162426 + 0.958128i
\(327\) 7.09551 + 2.93906i 0.392383 + 0.162530i
\(328\) −8.36543 26.3479i −0.461903 1.45482i
\(329\) 17.1786 7.11559i 0.947084 0.392295i
\(330\) 10.3354 6.48881i 0.568946 0.357197i
\(331\) 0.532840 2.67877i 0.0292876 0.147238i −0.963375 0.268159i \(-0.913585\pi\)
0.992662 + 0.120921i \(0.0385847\pi\)
\(332\) 8.00382 + 6.03283i 0.439267 + 0.331095i
\(333\) 4.83314 7.23331i 0.264855 0.396383i
\(334\) 5.93592 13.2522i 0.324799 0.725130i
\(335\) −20.3415 20.3415i −1.11137 1.11137i
\(336\) −8.12317 2.60241i −0.443155 0.141973i
\(337\) 2.93868 2.93868i 0.160080 0.160080i −0.622522 0.782602i \(-0.713892\pi\)
0.782602 + 0.622522i \(0.213892\pi\)
\(338\) 6.54824 + 17.1737i 0.356177 + 0.934128i
\(339\) 14.0586 + 9.39367i 0.763559 + 0.510194i
\(340\) 30.5387 + 7.90178i 1.65619 + 0.428534i
\(341\) −11.5214 2.29175i −0.623919 0.124105i
\(342\) 0.825490 + 0.188736i 0.0446374 + 0.0102057i
\(343\) 7.71387 + 18.6229i 0.416510 + 1.00554i
\(344\) 3.26643 + 0.944994i 0.176114 + 0.0509507i
\(345\) 1.18233 2.85439i 0.0636543 0.153675i
\(346\) 1.26915 + 0.901223i 0.0682301 + 0.0484500i
\(347\) −10.2158 + 6.82600i −0.548414 + 0.366439i −0.798696 0.601734i \(-0.794477\pi\)
0.250282 + 0.968173i \(0.419477\pi\)
\(348\) −6.25974 17.9321i −0.335557 0.961262i
\(349\) −1.81035 9.10124i −0.0969057 0.487178i −0.998508 0.0546113i \(-0.982608\pi\)
0.901602 0.432567i \(-0.142392\pi\)
\(350\) −2.21041 + 2.08820i −0.118151 + 0.111619i
\(351\) 0.0593625i 0.00316854i
\(352\) −8.11241 + 23.0463i −0.432393 + 1.22837i
\(353\) 15.0241i 0.799654i 0.916591 + 0.399827i \(0.130930\pi\)
−0.916591 + 0.399827i \(0.869070\pi\)
\(354\) 2.63073 + 2.78469i 0.139822 + 0.148004i
\(355\) 0.225821 + 1.13528i 0.0119853 + 0.0602543i
\(356\) −1.08804 + 2.25504i −0.0576658 + 0.119517i
\(357\) 13.9972 9.35264i 0.740811 0.494994i
\(358\) −19.6765 + 27.7096i −1.03994 + 1.46450i
\(359\) −2.75806 + 6.65854i −0.145565 + 0.351424i −0.979799 0.199986i \(-0.935910\pi\)
0.834234 + 0.551411i \(0.185910\pi\)
\(360\) −4.41418 3.52826i −0.232648 0.185956i
\(361\) −7.13378 17.2225i −0.375462 0.906446i
\(362\) −5.72166 + 25.0253i −0.300724 + 1.31530i
\(363\) −7.50733 1.49330i −0.394033 0.0783780i
\(364\) −0.218160 + 0.128470i −0.0114347 + 0.00673368i
\(365\) 4.39350 + 2.93564i 0.229966 + 0.153659i
\(366\) −2.94630 + 1.12341i −0.154006 + 0.0587214i
\(367\) −5.72499 + 5.72499i −0.298842 + 0.298842i −0.840560 0.541718i \(-0.817774\pi\)
0.541718 + 0.840560i \(0.317774\pi\)
\(368\) 1.70353 + 5.94636i 0.0888028 + 0.309975i
\(369\) −6.91100 6.91100i −0.359772 0.359772i
\(370\) −22.4326 10.0480i −1.16622 0.522369i
\(371\) 5.54023 8.29154i 0.287634 0.430475i
\(372\) 0.756401 + 5.38680i 0.0392176 + 0.279293i
\(373\) 0.694560 3.49179i 0.0359630 0.180798i −0.958629 0.284659i \(-0.908120\pi\)
0.994592 + 0.103861i \(0.0331197\pi\)
\(374\) −25.6389 40.8378i −1.32576 2.11167i
\(375\) −11.0904 + 4.59378i −0.572704 + 0.237222i
\(376\) −18.8607 + 15.8904i −0.972668 + 0.819486i
\(377\) −0.520832 0.215736i −0.0268242 0.0111110i
\(378\) −2.97334 + 0.504052i −0.152932 + 0.0259256i
\(379\) −0.218377 0.326825i −0.0112173 0.0167879i 0.825819 0.563936i \(-0.190713\pi\)
−0.837036 + 0.547148i \(0.815713\pi\)
\(380\) 0.135932 2.38873i 0.00697318 0.122539i
\(381\) −18.0712 + 3.59458i −0.925813 + 0.184156i
\(382\) −31.2710 0.889028i −1.59996 0.0454866i
\(383\) −3.27001 −0.167090 −0.0835448 0.996504i \(-0.526624\pi\)
−0.0835448 + 0.996504i \(0.526624\pi\)
\(384\) 11.3137 + 0.0294766i 0.577348 + 0.00150422i
\(385\) −18.4014 −0.937822
\(386\) −32.4108 0.921432i −1.64967 0.0468997i
\(387\) 1.17912 0.234541i 0.0599378 0.0119224i
\(388\) −0.105524 + 1.85437i −0.00535717 + 0.0941414i
\(389\) 6.16101 + 9.22061i 0.312376 + 0.467503i 0.954124 0.299412i \(-0.0967906\pi\)
−0.641748 + 0.766915i \(0.721791\pi\)
\(390\) −0.165369 + 0.0280340i −0.00837377 + 0.00141955i
\(391\) −11.2784 4.67167i −0.570374 0.236257i
\(392\) −4.46964 5.30512i −0.225751 0.267949i
\(393\) 12.1800 5.04513i 0.614401 0.254493i
\(394\) 7.47768 + 11.9105i 0.376720 + 0.600042i
\(395\) −3.42844 + 17.2359i −0.172504 + 0.867235i
\(396\) 1.20116 + 8.55423i 0.0603607 + 0.429866i
\(397\) −7.55104 + 11.3009i −0.378976 + 0.567178i −0.971101 0.238668i \(-0.923289\pi\)
0.592125 + 0.805846i \(0.298289\pi\)
\(398\) −31.0422 13.9044i −1.55601 0.696963i
\(399\) −0.902875 0.902875i −0.0452003 0.0452003i
\(400\) 1.95620 3.52706i 0.0978099 0.176353i
\(401\) 3.35262 3.35262i 0.167422 0.167422i −0.618423 0.785845i \(-0.712228\pi\)
0.785845 + 0.618423i \(0.212228\pi\)
\(402\) 19.0264 7.25466i 0.948953 0.361830i
\(403\) 0.134245 + 0.0896999i 0.00668724 + 0.00446827i
\(404\) 18.7481 11.0404i 0.932750 0.549280i
\(405\) −1.95953 0.389775i −0.0973700 0.0193681i
\(406\) −6.38330 + 27.9192i −0.316798 + 1.38560i
\(407\) 14.3788 + 34.7134i 0.712728 + 1.72068i
\(408\) −13.9410 + 17.4415i −0.690184 + 0.863484i
\(409\) 6.15441 14.8581i 0.304316 0.734684i −0.695552 0.718475i \(-0.744840\pi\)
0.999869 0.0162089i \(-0.00515966\pi\)
\(410\) −15.9886 + 22.5160i −0.789619 + 1.11199i
\(411\) 11.0149 7.35992i 0.543325 0.363038i
\(412\) −4.50083 + 9.32831i −0.221740 + 0.459573i
\(413\) −1.12692 5.66543i −0.0554523 0.278777i
\(414\) 1.50182 + 1.58971i 0.0738104 + 0.0781301i
\(415\) 10.0124i 0.491488i
\(416\) 0.224228 0.249974i 0.0109937 0.0122560i
\(417\) 20.1735i 0.987899i
\(418\) −2.65859 + 2.51160i −0.130036 + 0.122846i
\(419\) −7.72896 38.8561i −0.377584 1.89824i −0.435991 0.899951i \(-0.643602\pi\)
0.0584067 0.998293i \(-0.481398\pi\)
\(420\) 2.80832 + 8.04492i 0.137032 + 0.392552i
\(421\) −23.9759 + 16.0202i −1.16851 + 0.780776i −0.979549 0.201207i \(-0.935514\pi\)
−0.188966 + 0.981984i \(0.560514\pi\)
\(422\) −15.8560 11.2593i −0.771858 0.548094i
\(423\) −3.33679 + 8.05573i −0.162240 + 0.391683i
\(424\) −3.67582 + 12.7057i −0.178513 + 0.617043i
\(425\) 3.04611 + 7.35395i 0.147758 + 0.356719i
\(426\) −0.798730 0.182618i −0.0386986 0.00884786i
\(427\) 4.66330 + 0.927589i 0.225673 + 0.0448892i
\(428\) −5.34391 1.38272i −0.258307 0.0668362i
\(429\) 0.213181 + 0.142443i 0.0102925 + 0.00687722i
\(430\) −1.21021 3.17395i −0.0583614 0.153062i
\(431\) 1.96172 1.96172i 0.0944925 0.0944925i −0.658280 0.752773i \(-0.728716\pi\)
0.752773 + 0.658280i \(0.228716\pi\)
\(432\) 3.55651 1.83063i 0.171113 0.0880764i
\(433\) 6.32579 + 6.32579i 0.303998 + 0.303998i 0.842576 0.538578i \(-0.181038\pi\)
−0.538578 + 0.842576i \(0.681038\pi\)
\(434\) 3.35298 7.48571i 0.160948 0.359325i
\(435\) −10.5411 + 15.7759i −0.505409 + 0.756398i
\(436\) 12.2661 + 9.24552i 0.587441 + 0.442780i
\(437\) −0.180641 + 0.908143i −0.00864122 + 0.0434424i
\(438\) −3.16770 + 1.98875i −0.151359 + 0.0950264i
\(439\) −18.1301 + 7.50972i −0.865301 + 0.358419i −0.770778 0.637103i \(-0.780132\pi\)
−0.0945226 + 0.995523i \(0.530132\pi\)
\(440\) 23.2626 7.38587i 1.10900 0.352107i
\(441\) −2.26591 0.938570i −0.107900 0.0446938i
\(442\) 0.110769 + 0.653414i 0.00526876 + 0.0310797i
\(443\) −8.10192 12.1254i −0.384934 0.576094i 0.587514 0.809214i \(-0.300107\pi\)
−0.972448 + 0.233120i \(0.925107\pi\)
\(444\) 12.9819 11.5840i 0.616096 0.549753i
\(445\) 2.45314 0.487960i 0.116290 0.0231315i
\(446\) −0.851794 + 29.9613i −0.0403336 + 1.41871i
\(447\) −17.3547 −0.820849
\(448\) −14.4246 9.10855i −0.681496 0.430338i
\(449\) 13.4540 0.634933 0.317466 0.948270i \(-0.397168\pi\)
0.317466 + 0.948270i \(0.397168\pi\)
\(450\) 0.0405233 1.42538i 0.00191029 0.0671932i
\(451\) 41.4019 8.23536i 1.94954 0.387788i
\(452\) 22.5146 + 25.2316i 1.05900 + 1.18680i
\(453\) 6.42207 + 9.61131i 0.301735 + 0.451579i
\(454\) −5.07730 29.9504i −0.238290 1.40564i
\(455\) 0.233662 + 0.0967859i 0.0109542 + 0.00453739i
\(456\) 1.50379 + 0.779003i 0.0704212 + 0.0364801i
\(457\) −6.01939 + 2.49331i −0.281575 + 0.116632i −0.519002 0.854773i \(-0.673696\pi\)
0.237426 + 0.971406i \(0.423696\pi\)
\(458\) 16.9472 10.6399i 0.791893 0.497168i
\(459\) −1.54010 + 7.74261i −0.0718858 + 0.361394i
\(460\) 3.71930 4.93443i 0.173413 0.230069i
\(461\) 13.9820 20.9256i 0.651208 0.974602i −0.348102 0.937457i \(-0.613174\pi\)
0.999310 0.0371449i \(-0.0118263\pi\)
\(462\) 5.32453 11.8873i 0.247719 0.553046i
\(463\) 12.9201 + 12.9201i 0.600446 + 0.600446i 0.940431 0.339985i \(-0.110422\pi\)
−0.339985 + 0.940431i \(0.610422\pi\)
\(464\) −3.13643 37.8569i −0.145605 1.75746i
\(465\) 3.84242 3.84242i 0.178188 0.178188i
\(466\) −5.31407 13.9370i −0.246170 0.645617i
\(467\) −22.3190 14.9131i −1.03280 0.690094i −0.0809678 0.996717i \(-0.525801\pi\)
−0.951831 + 0.306623i \(0.900801\pi\)
\(468\) 0.0297403 0.114940i 0.00137474 0.00531309i
\(469\) −30.1144 5.99012i −1.39055 0.276598i
\(470\) 24.0170 + 5.49113i 1.10782 + 0.253287i
\(471\) −2.10961 5.09306i −0.0972059 0.234676i
\(472\) 3.69859 + 6.70979i 0.170242 + 0.308843i
\(473\) −1.98707 + 4.79721i −0.0913655 + 0.220576i
\(474\) −10.1424 7.20207i −0.465854 0.330802i
\(475\) 0.501995 0.335422i 0.0230331 0.0153902i
\(476\) 31.7875 11.0964i 1.45698 0.508602i
\(477\) 0.912311 + 4.58650i 0.0417718 + 0.210001i
\(478\) 21.3792 20.1972i 0.977863 0.923799i
\(479\) 10.7417i 0.490803i 0.969422 + 0.245401i \(0.0789197\pi\)
−0.969422 + 0.245401i \(0.921080\pi\)
\(480\) −6.77924 9.04301i −0.309429 0.412755i
\(481\) 0.516420i 0.0235467i
\(482\) 14.4829 + 15.3305i 0.659678 + 0.698285i
\(483\) −0.643334 3.23426i −0.0292727 0.147164i
\(484\) −13.7878 6.65251i −0.626719 0.302387i
\(485\) 1.54274 1.03083i 0.0700523 0.0468075i
\(486\) 0.818794 1.15307i 0.0371413 0.0523044i
\(487\) −7.01036 + 16.9245i −0.317670 + 0.766923i 0.681707 + 0.731625i \(0.261238\pi\)
−0.999377 + 0.0352976i \(0.988762\pi\)
\(488\) −6.26755 + 0.699097i −0.283719 + 0.0316467i
\(489\) 4.74799 + 11.4627i 0.214711 + 0.518359i
\(490\) −1.54454 + 6.75548i −0.0697752 + 0.305181i
\(491\) 9.73259 + 1.93593i 0.439225 + 0.0873674i 0.409749 0.912198i \(-0.365616\pi\)
0.0294760 + 0.999565i \(0.490616\pi\)
\(492\) −9.91895 16.8437i −0.447181 0.759372i
\(493\) 62.3347 + 41.6507i 2.80741 + 1.87585i
\(494\) 0.0469691 0.0179090i 0.00211324 0.000805765i
\(495\) 6.10175 6.10175i 0.274253 0.274253i
\(496\) −1.23419 + 10.8091i −0.0554167 + 0.485342i
\(497\) 0.873607 + 0.873607i 0.0391866 + 0.0391866i
\(498\) 6.46798 + 2.89713i 0.289837 + 0.129823i
\(499\) −5.49104 + 8.21793i −0.245813 + 0.367885i −0.933774 0.357862i \(-0.883506\pi\)
0.687962 + 0.725747i \(0.258506\pi\)
\(500\) −23.7750 + 3.33843i −1.06325 + 0.149299i
\(501\) 2.00316 10.0705i 0.0894944 0.449919i
\(502\) −5.62464 8.95896i −0.251040 0.399858i
\(503\) −1.79810 + 0.744797i −0.0801733 + 0.0332089i −0.422410 0.906405i \(-0.638816\pi\)
0.342236 + 0.939614i \(0.388816\pi\)
\(504\) −6.00960 0.513663i −0.267689 0.0228804i
\(505\) −20.0802 8.31751i −0.893559 0.370124i
\(506\) −9.31263 + 1.57871i −0.413997 + 0.0701824i
\(507\) 7.22046 + 10.8062i 0.320672 + 0.479919i
\(508\) −36.7909 2.09360i −1.63233 0.0928887i
\(509\) 16.9975 3.38102i 0.753403 0.149861i 0.196575 0.980489i \(-0.437018\pi\)
0.556828 + 0.830628i \(0.312018\pi\)
\(510\) 22.2962 + 0.633878i 0.987294 + 0.0280686i
\(511\) 5.63985 0.249492
\(512\) 21.8912 + 5.72516i 0.967461 + 0.253019i
\(513\) 0.598771 0.0264364
\(514\) 34.0926 + 0.969245i 1.50376 + 0.0427516i
\(515\) 10.1478 2.01852i 0.447165 0.0889467i
\(516\) 2.40055 + 0.136605i 0.105678 + 0.00601368i
\(517\) −20.9228 31.3132i −0.920183 1.37715i
\(518\) −25.8663 + 4.38496i −1.13650 + 0.192664i
\(519\) 1.01689 + 0.421208i 0.0446364 + 0.0184890i
\(520\) −0.334238 0.0285685i −0.0146573 0.00125281i
\(521\) −28.7153 + 11.8943i −1.25804 + 0.521097i −0.909307 0.416126i \(-0.863387\pi\)
−0.348732 + 0.937223i \(0.613387\pi\)
\(522\) −7.14111 11.3744i −0.312558 0.497844i
\(523\) −4.23821 + 21.3069i −0.185324 + 0.931687i 0.770431 + 0.637523i \(0.220041\pi\)
−0.955755 + 0.294164i \(0.904959\pi\)
\(524\) 26.1110 3.66643i 1.14066 0.160169i
\(525\) −1.19457 + 1.78780i −0.0521354 + 0.0780261i
\(526\) 14.4898 + 6.49026i 0.631787 + 0.282989i
\(527\) −15.1824 15.1824i −0.661354 0.661354i
\(528\) −1.95989 + 17.1648i −0.0852932 + 0.747001i
\(529\) 14.5725 14.5725i 0.633588 0.633588i
\(530\) 12.3460 4.70744i 0.536275 0.204478i
\(531\) 2.25229 + 1.50493i 0.0977409 + 0.0653084i
\(532\) −1.29584 2.20051i −0.0561819 0.0954043i
\(533\) −0.569039 0.113189i −0.0246478 0.00490275i
\(534\) −0.394605 + 1.72592i −0.0170762 + 0.0746878i
\(535\) 2.11018 + 5.09442i 0.0912310 + 0.220251i
\(536\) 40.4742 4.51459i 1.74822 0.195000i
\(537\) −9.19631 + 22.2019i −0.396850 + 0.958081i
\(538\) 0.808889 1.13912i 0.0348737 0.0491111i
\(539\) 8.80773 5.88514i 0.379376 0.253491i
\(540\) −3.59884 1.73641i −0.154869 0.0747233i
\(541\) −7.80278 39.2272i −0.335468 1.68651i −0.668594 0.743628i \(-0.733103\pi\)
0.333126 0.942882i \(-0.391897\pi\)
\(542\) 20.6168 + 21.8233i 0.885566 + 0.937393i
\(543\) 18.1522i 0.778984i
\(544\) −35.7312 + 26.7865i −1.53196 + 1.14846i
\(545\) 15.3443i 0.657278i
\(546\) −0.130135 + 0.122940i −0.00556925 + 0.00526134i
\(547\) 2.73797 + 13.7647i 0.117067 + 0.588537i 0.994133 + 0.108166i \(0.0344979\pi\)
−0.877065 + 0.480371i \(0.840502\pi\)
\(548\) 25.0147 8.73213i 1.06858 0.373018i
\(549\) −1.85389 + 1.23873i −0.0791222 + 0.0528678i
\(550\) 5.02157 + 3.56580i 0.214120 + 0.152046i
\(551\) 2.17606 5.25347i 0.0927032 0.223805i
\(552\) 2.11144 + 3.83046i 0.0898688 + 0.163035i
\(553\) 7.17801 + 17.3292i 0.305240 + 0.736914i
\(554\) 27.9836 + 6.39803i 1.18891 + 0.271826i
\(555\) −17.0468 3.39082i −0.723597 0.143932i
\(556\) 10.1068 39.0606i 0.428624 1.65654i
\(557\) 20.8301 + 13.9182i 0.882600 + 0.589735i 0.912163 0.409828i \(-0.134411\pi\)
−0.0295624 + 0.999563i \(0.509411\pi\)
\(558\) 1.37038 + 3.59402i 0.0580127 + 0.152147i
\(559\) 0.0504638 0.0504638i 0.00213439 0.00213439i
\(560\) 1.40710 + 16.9838i 0.0594610 + 0.717696i
\(561\) −24.1096 24.1096i −1.01791 1.01791i
\(562\) −0.724965 + 1.61852i −0.0305808 + 0.0682733i
\(563\) 11.2966 16.9065i 0.476093 0.712524i −0.513232 0.858250i \(-0.671552\pi\)
0.989325 + 0.145726i \(0.0465518\pi\)
\(564\) −10.4967 + 13.9261i −0.441991 + 0.586394i
\(565\) 6.59038 33.1321i 0.277260 1.39388i
\(566\) −12.2167 + 7.66995i −0.513508 + 0.322392i
\(567\) −1.97014 + 0.816058i −0.0827381 + 0.0342712i
\(568\) −1.45504 0.753750i −0.0610521 0.0316267i
\(569\) −26.1705 10.8402i −1.09712 0.454443i −0.240638 0.970615i \(-0.577357\pi\)
−0.856485 + 0.516172i \(0.827357\pi\)
\(570\) −0.282770 1.66802i −0.0118439 0.0698658i
\(571\) 4.48111 + 6.70645i 0.187529 + 0.280656i 0.913307 0.407273i \(-0.133520\pi\)
−0.725778 + 0.687929i \(0.758520\pi\)
\(572\) 0.341406 + 0.382606i 0.0142749 + 0.0159976i
\(573\) −21.6958 + 4.31557i −0.906356 + 0.180285i
\(574\) −0.837627 + 29.4630i −0.0349619 + 1.22976i
\(575\) 1.55923 0.0650245
\(576\) 7.80338 1.76275i 0.325141 0.0734477i
\(577\) 17.2302 0.717304 0.358652 0.933471i \(-0.383237\pi\)
0.358652 + 0.933471i \(0.383237\pi\)
\(578\) 1.82139 64.0662i 0.0757598 2.66480i
\(579\) −22.4866 + 4.47287i −0.934512 + 0.185886i
\(580\) −28.3138 + 25.2649i −1.17567 + 1.04907i
\(581\) −5.93716 8.88559i −0.246315 0.368636i
\(582\) 0.219514 + 1.29488i 0.00909914 + 0.0536747i
\(583\) −18.6601 7.72925i −0.772821 0.320113i
\(584\) −7.12977 + 2.26369i −0.295032 + 0.0936724i
\(585\) −0.109574 + 0.0453869i −0.00453031 + 0.00187652i
\(586\) −24.2917 + 15.2509i −1.00348 + 0.630008i
\(587\) −3.02984 + 15.2320i −0.125055 + 0.628693i 0.866518 + 0.499145i \(0.166353\pi\)
−0.991573 + 0.129548i \(0.958647\pi\)
\(588\) −3.91711 2.95250i −0.161539 0.121759i
\(589\) −0.904776 + 1.35409i −0.0372806 + 0.0557944i
\(590\) 3.12870 6.98499i 0.128807 0.287568i
\(591\) 7.03163 + 7.03163i 0.289243 + 0.289243i
\(592\) 30.9396 15.9255i 1.27161 0.654533i
\(593\) 2.08919 2.08919i 0.0857928 0.0857928i −0.662908 0.748701i \(-0.730678\pi\)
0.748701 + 0.662908i \(0.230678\pi\)
\(594\) 2.17615 + 5.70729i 0.0892887 + 0.234173i
\(595\) −27.9653 18.6858i −1.14647 0.766045i
\(596\) −33.6028 8.69461i −1.37642 0.356145i
\(597\) −23.5894 4.69222i −0.965449 0.192040i
\(598\) 0.126556 + 0.0289351i 0.00517525 + 0.00118324i
\(599\) −11.0960 26.7881i −0.453370 1.09453i −0.971032 0.238948i \(-0.923198\pi\)
0.517662 0.855585i \(-0.326802\pi\)
\(600\) 0.792571 2.73957i 0.0323566 0.111843i
\(601\) −6.21454 + 15.0032i −0.253496 + 0.611994i −0.998482 0.0550866i \(-0.982457\pi\)
0.744985 + 0.667081i \(0.232457\pi\)
\(602\) −2.95611 2.09913i −0.120482 0.0855540i
\(603\) 11.9719 7.99940i 0.487535 0.325761i
\(604\) 7.61943 + 21.8272i 0.310030 + 0.888135i
\(605\) 2.98350 + 14.9991i 0.121297 + 0.609799i
\(606\) 11.1834 10.5651i 0.454295 0.429178i
\(607\) 29.3341i 1.19063i −0.803491 0.595317i \(-0.797027\pi\)
0.803491 0.595317i \(-0.202973\pi\)
\(608\) 2.52141 + 2.26172i 0.102257 + 0.0917249i
\(609\) 20.2512i 0.820622i
\(610\) 4.32629 + 4.57948i 0.175166 + 0.185418i
\(611\) 0.100981 + 0.507663i 0.00408524 + 0.0205379i
\(612\) −6.86100 + 14.2199i −0.277340 + 0.574807i
\(613\) −0.400066 + 0.267316i −0.0161585 + 0.0107968i −0.563623 0.826032i \(-0.690593\pi\)
0.547465 + 0.836829i \(0.315593\pi\)
\(614\) −3.08281 + 4.34139i −0.124412 + 0.175204i
\(615\) −7.47264 + 18.0406i −0.301326 + 0.727465i
\(616\) 16.2650 20.3490i 0.655335 0.819885i
\(617\) 7.84632 + 18.9427i 0.315881 + 0.762604i 0.999464 + 0.0327314i \(0.0104206\pi\)
−0.683583 + 0.729873i \(0.739579\pi\)
\(618\) −1.63235 + 7.13953i −0.0656626 + 0.287194i
\(619\) 25.5670 + 5.08560i 1.02763 + 0.204407i 0.679989 0.733222i \(-0.261984\pi\)
0.347636 + 0.937630i \(0.386984\pi\)
\(620\) 9.36485 5.51479i 0.376102 0.221479i
\(621\) 1.28578 + 0.859128i 0.0515964 + 0.0344756i
\(622\) 32.8563 12.5279i 1.31742 0.502323i
\(623\) 1.88771 1.88771i 0.0756296 0.0756296i
\(624\) 0.115168 0.207651i 0.00461042 0.00831268i
\(625\) 13.3939 + 13.3939i 0.535755 + 0.535755i
\(626\) −3.66294 1.64070i −0.146401 0.0655754i
\(627\) −1.43678 + 2.15030i −0.0573795 + 0.0858745i
\(628\) −1.53311 10.9183i −0.0611779 0.435686i
\(629\) −13.3980 + 67.3563i −0.534213 + 2.68567i
\(630\) 3.20373 + 5.10292i 0.127640 + 0.203305i
\(631\) 41.8450 17.3328i 1.66582 0.690006i 0.667323 0.744768i \(-0.267440\pi\)
0.998499 + 0.0547622i \(0.0174401\pi\)
\(632\) −16.0298 19.0262i −0.637631 0.756820i
\(633\) −12.7043 5.26231i −0.504952 0.209158i
\(634\) −4.13934 + 0.701718i −0.164394 + 0.0278688i
\(635\) 20.4517 + 30.6081i 0.811601 + 1.21465i
\(636\) −0.531361 + 9.33760i −0.0210698 + 0.370260i
\(637\) −0.142795 + 0.0284037i −0.00565774 + 0.00112539i
\(638\) 57.9830 + 1.64844i 2.29557 + 0.0652625i
\(639\) −0.579361 −0.0229192
\(640\) −8.59571 20.9058i −0.339775 0.826373i
\(641\) −22.6441 −0.894389 −0.447194 0.894437i \(-0.647577\pi\)
−0.447194 + 0.894437i \(0.647577\pi\)
\(642\) −3.90158 0.110921i −0.153983 0.00437771i
\(643\) −17.8754 + 3.55563i −0.704935 + 0.140220i −0.534525 0.845153i \(-0.679509\pi\)
−0.170410 + 0.985373i \(0.554509\pi\)
\(644\) 0.374700 6.58459i 0.0147652 0.259469i
\(645\) −1.33444 1.99714i −0.0525437 0.0786371i
\(646\) −6.59078 + 1.11730i −0.259311 + 0.0439594i
\(647\) −2.76591 1.14568i −0.108739 0.0450412i 0.327651 0.944799i \(-0.393743\pi\)
−0.436390 + 0.899758i \(0.643743\pi\)
\(648\) 2.16306 1.82241i 0.0849730 0.0715909i
\(649\) −10.8089 + 4.47721i −0.424288 + 0.175746i
\(650\) −0.0450090 0.0716906i −0.00176540 0.00281194i
\(651\) 1.13151 5.68848i 0.0443474 0.222949i
\(652\) 3.45049 + 24.5731i 0.135132 + 0.962357i
\(653\) −2.94153 + 4.40230i −0.115111 + 0.172275i −0.884551 0.466443i \(-0.845535\pi\)
0.769440 + 0.638719i \(0.220535\pi\)
\(654\) 9.91240 + 4.43994i 0.387605 + 0.173615i
\(655\) −18.6250 18.6250i −0.727739 0.727739i
\(656\) −10.7668 37.5827i −0.420373 1.46736i
\(657\) −1.87013 + 1.87013i −0.0729605 + 0.0729605i
\(658\) 24.5703 9.36850i 0.957850 0.365222i
\(659\) −13.9441 9.31712i −0.543183 0.362943i 0.253505 0.967334i \(-0.418417\pi\)
−0.796688 + 0.604391i \(0.793417\pi\)
\(660\) 14.8714 8.75748i 0.578867 0.340884i
\(661\) 9.70864 + 1.93117i 0.377622 + 0.0751138i 0.380252 0.924883i \(-0.375837\pi\)
−0.00262998 + 0.999997i \(0.500837\pi\)
\(662\) 0.860904 3.76541i 0.0334600 0.146347i
\(663\) 0.179335 + 0.432953i 0.00696480 + 0.0168145i
\(664\) 11.0721 + 8.84994i 0.429680 + 0.343444i
\(665\) −0.976250 + 2.35688i −0.0378573 + 0.0913957i
\(666\) 7.12304 10.0311i 0.276012 0.388696i
\(667\) 12.2106 8.15884i 0.472795 0.315911i
\(668\) 8.92386 18.4954i 0.345275 0.715607i
\(669\) 4.13483 + 20.7872i 0.159862 + 0.803679i
\(670\) −27.9380 29.5731i −1.07934 1.14251i
\(671\) 9.63006i 0.371764i
\(672\) −11.3787 4.00535i −0.438941 0.154510i
\(673\) 14.7891i 0.570077i −0.958516 0.285038i \(-0.907994\pi\)
0.958516 0.285038i \(-0.0920063\pi\)
\(674\) 4.27234 4.03614i 0.164565 0.155466i
\(675\) −0.196711 0.988931i −0.00757139 0.0380640i
\(676\) 8.56666 + 24.5407i 0.329487 + 0.943873i
\(677\) −4.42592 + 2.95731i −0.170102 + 0.113659i −0.637707 0.770279i \(-0.720117\pi\)
0.467605 + 0.883938i \(0.345117\pi\)
\(678\) 19.4963 + 13.8443i 0.748752 + 0.531687i
\(679\) 0.757861 1.82964i 0.0290840 0.0702151i
\(680\) 42.8532 + 12.3976i 1.64335 + 0.475427i
\(681\) −8.22014 19.8452i −0.314996 0.760469i
\(682\) −16.1951 3.70276i −0.620141 0.141786i
\(683\) −20.8250 4.14235i −0.796847 0.158503i −0.220155 0.975465i \(-0.570656\pi\)
−0.576691 + 0.816962i \(0.695656\pi\)
\(684\) 1.15936 + 0.299981i 0.0443293 + 0.0114701i
\(685\) −22.0069 14.7046i −0.840841 0.561832i
\(686\) 10.1562 + 26.6362i 0.387766 + 1.01697i
\(687\) 10.0052 10.0052i 0.381722 0.381722i
\(688\) 4.57959 + 1.46716i 0.174595 + 0.0559349i
\(689\) 0.196293 + 0.196293i 0.00747816 + 0.00747816i
\(690\) 1.78610 3.98757i 0.0679958 0.151804i
\(691\) 8.18634 12.2517i 0.311423 0.466078i −0.642433 0.766342i \(-0.722075\pi\)
0.953856 + 0.300264i \(0.0970748\pi\)
\(692\) 1.75791 + 1.32501i 0.0668257 + 0.0503694i
\(693\) 1.79683 9.03330i 0.0682561 0.343147i
\(694\) −14.7159 + 9.23895i −0.558607 + 0.350706i
\(695\) −37.2370 + 15.4241i −1.41248 + 0.585068i
\(696\) −8.12835 25.6012i −0.308104 0.970410i
\(697\) 71.2828 + 29.5263i 2.70003 + 1.11839i
\(698\) −2.19341 12.9387i −0.0830218 0.489735i
\(699\) −5.85959 8.76950i −0.221630 0.331693i
\(700\) −3.20865 + 2.86313i −0.121276 + 0.108216i
\(701\) 37.5774 7.47461i 1.41928 0.282312i 0.574973 0.818173i \(-0.305013\pi\)
0.844307 + 0.535860i \(0.180013\pi\)
\(702\) 0.00238575 0.0839173i 9.00444e−5 0.00316726i
\(703\) 5.20897 0.196460
\(704\) −12.3943 + 32.2531i −0.467126 + 1.21559i
\(705\) 17.4208 0.656106
\(706\) −0.603813 + 21.2387i −0.0227248 + 0.799331i
\(707\) −22.7526 + 4.52577i −0.855698 + 0.170209i
\(708\) 3.60699 + 4.04228i 0.135559 + 0.151918i
\(709\) 10.4955 + 15.7077i 0.394168 + 0.589914i 0.974478 0.224481i \(-0.0720687\pi\)
−0.580310 + 0.814395i \(0.697069\pi\)
\(710\) 0.273604 + 1.61395i 0.0102682 + 0.0605706i
\(711\) −8.12639 3.36606i −0.304764 0.126237i
\(712\) −1.62872 + 3.14409i −0.0610390 + 0.117830i
\(713\) −3.88576 + 1.60953i −0.145523 + 0.0602775i
\(714\) 20.1629 12.6587i 0.754579 0.473742i
\(715\) 0.0999349 0.502407i 0.00373735 0.0187890i
\(716\) −28.9292 + 38.3807i −1.08114 + 1.43435i
\(717\) 11.5540 17.2918i 0.431491 0.645773i
\(718\) −4.16651 + 9.30195i −0.155493 + 0.347146i
\(719\) −9.69241 9.69241i −0.361466 0.361466i 0.502887 0.864352i \(-0.332271\pi\)
−0.864352 + 0.502887i \(0.832271\pi\)
\(720\) −6.09827 5.16510i −0.227269 0.192492i
\(721\) 7.80882 7.80882i 0.290816 0.290816i
\(722\) −9.39245 24.6331i −0.349551 0.916750i
\(723\) 12.3995 + 8.28506i 0.461141 + 0.308125i
\(724\) −9.09414 + 35.1469i −0.337981 + 1.30622i
\(725\) −9.39152 1.86809i −0.348792 0.0693791i
\(726\) −10.5527 2.41271i −0.391646 0.0895441i
\(727\) −12.6502 30.5402i −0.469169 1.13267i −0.964527 0.263985i \(-0.914963\pi\)
0.495358 0.868689i \(-0.335037\pi\)
\(728\) −0.313563 + 0.172844i −0.0116214 + 0.00640601i
\(729\) 0.382683 0.923880i 0.0141735 0.0342178i
\(730\) 6.09286 + 4.32652i 0.225507 + 0.160132i
\(731\) −7.89119 + 5.27272i −0.291866 + 0.195019i
\(732\) −4.21017 + 1.46968i −0.155612 + 0.0543211i
\(733\) 2.64172 + 13.2808i 0.0975742 + 0.490538i 0.998410 + 0.0563776i \(0.0179551\pi\)
−0.900835 + 0.434161i \(0.857045\pi\)
\(734\) −8.32318 + 7.86301i −0.307214 + 0.290229i
\(735\) 4.90011i 0.180743i
\(736\) 2.16920 + 8.47449i 0.0799579 + 0.312374i
\(737\) 62.1884i 2.29074i
\(738\) −9.49193 10.0474i −0.349403 0.369851i
\(739\) 6.17640 + 31.0509i 0.227203 + 1.14222i 0.910953 + 0.412509i \(0.135348\pi\)
−0.683751 + 0.729716i \(0.739652\pi\)
\(740\) −31.3079 15.1058i −1.15090 0.555300i
\(741\) 0.0295542 0.0197475i 0.00108570 0.000725443i
\(742\) 8.16514 11.4986i 0.299752 0.422127i
\(743\) 9.26915 22.3777i 0.340052 0.820958i −0.657658 0.753317i \(-0.728453\pi\)
0.997710 0.0676413i \(-0.0215473\pi\)
\(744\) 0.852787 + 7.64541i 0.0312647 + 0.280294i
\(745\) 13.2689 + 32.0340i 0.486136 + 1.17364i
\(746\) 1.12219 4.90823i 0.0410864 0.179703i
\(747\) 4.91510 + 0.977674i 0.179834 + 0.0357712i
\(748\) −34.6030 58.7605i −1.26521 2.14850i
\(749\) 4.89360 + 3.26980i 0.178808 + 0.119476i
\(750\) −15.8624 + 6.04825i −0.579214 + 0.220851i
\(751\) −11.6558 + 11.6558i −0.425328 + 0.425328i −0.887033 0.461706i \(-0.847238\pi\)
0.461706 + 0.887033i \(0.347238\pi\)
\(752\) −27.3009 + 21.7054i −0.995563 + 0.791513i
\(753\) −5.28913 5.28913i −0.192747 0.192747i
\(754\) −0.727600 0.325905i −0.0264976 0.0118688i
\(755\) 12.8308 19.2027i 0.466961 0.698856i
\(756\) −4.22349 + 0.593052i −0.153607 + 0.0215691i
\(757\) 1.17630 5.91368i 0.0427535 0.214936i −0.953503 0.301384i \(-0.902551\pi\)
0.996256 + 0.0864475i \(0.0275515\pi\)
\(758\) −0.295572 0.470790i −0.0107357 0.0170999i
\(759\) −6.17057 + 2.55593i −0.223977 + 0.0927745i
\(760\) 0.288162 3.37135i 0.0104527 0.122292i
\(761\) 17.3693 + 7.19458i 0.629635 + 0.260803i 0.674598 0.738185i \(-0.264317\pi\)
−0.0449630 + 0.998989i \(0.514317\pi\)
\(762\) −25.6906 + 4.35517i −0.930673 + 0.157771i
\(763\) −9.09890 13.6175i −0.329402 0.492985i
\(764\) −44.1703 2.51354i −1.59803 0.0909365i
\(765\) 15.4691 3.07700i 0.559288 0.111249i
\(766\) −4.62262 0.131420i −0.167022 0.00474840i
\(767\) 0.160801 0.00580619
\(768\) 15.9923 + 0.496361i 0.577072 + 0.0179109i
\(769\) −37.3656 −1.34744 −0.673719 0.738988i \(-0.735304\pi\)
−0.673719 + 0.738988i \(0.735304\pi\)
\(770\) −26.0130 0.739544i −0.937444 0.0266513i
\(771\) 23.6534 4.70496i 0.851858 0.169445i
\(772\) −45.7803 2.60515i −1.64767 0.0937615i
\(773\) −21.4342 32.0786i −0.770935 1.15379i −0.984247 0.176802i \(-0.943425\pi\)