Properties

Label 273.2.cd.e.44.11
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.11
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25001 + 0.334940i) q^{2} +(-1.60871 - 0.641920i) q^{3} +(-0.281700 + 0.162639i) q^{4} +(-3.70264 + 0.992121i) q^{5} +(2.22591 + 0.263589i) q^{6} +(-1.90960 - 1.83124i) q^{7} +(2.12780 - 2.12780i) q^{8} +(2.17588 + 2.06532i) q^{9} +O(q^{10})\) \(q+(-1.25001 + 0.334940i) q^{2} +(-1.60871 - 0.641920i) q^{3} +(-0.281700 + 0.162639i) q^{4} +(-3.70264 + 0.992121i) q^{5} +(2.22591 + 0.263589i) q^{6} +(-1.90960 - 1.83124i) q^{7} +(2.12780 - 2.12780i) q^{8} +(2.17588 + 2.06532i) q^{9} +(4.29606 - 2.48033i) q^{10} +(-1.43154 - 0.383581i) q^{11} +(0.557574 - 0.0808103i) q^{12} +(2.76474 + 2.31435i) q^{13} +(3.00038 + 1.64947i) q^{14} +(6.59333 + 0.780772i) q^{15} +(-1.62182 + 2.80907i) q^{16} +(0.890309 + 1.54206i) q^{17} +(-3.41164 - 1.85290i) q^{18} +(0.252802 + 0.943471i) q^{19} +(0.881676 - 0.881676i) q^{20} +(1.89648 + 4.17173i) q^{21} +1.91793 q^{22} +(2.91637 - 5.05131i) q^{23} +(-4.78889 + 2.05713i) q^{24} +(8.39515 - 4.84694i) q^{25} +(-4.23114 - 1.96694i) q^{26} +(-2.17457 - 4.71924i) q^{27} +(0.835765 + 0.205282i) q^{28} +2.31669i q^{29} +(-8.50327 + 1.23240i) q^{30} +(-3.04057 - 0.814718i) q^{31} +(-0.471235 + 1.75867i) q^{32} +(2.05670 + 1.53600i) q^{33} +(-1.62940 - 1.62940i) q^{34} +(8.88738 + 4.88586i) q^{35} +(-0.948846 - 0.227918i) q^{36} +(8.74289 - 2.34265i) q^{37} +(-0.632013 - 1.09468i) q^{38} +(-2.96203 - 5.49785i) q^{39} +(-5.76746 + 9.98953i) q^{40} +(-4.21804 - 4.21804i) q^{41} +(-3.76791 - 4.57952i) q^{42} +6.76194i q^{43} +(0.465650 - 0.124771i) q^{44} +(-10.1055 - 5.48843i) q^{45} +(-1.95362 + 7.29102i) q^{46} +(-0.850526 - 3.17421i) q^{47} +(4.41223 - 3.47790i) q^{48} +(0.293149 + 6.99386i) q^{49} +(-8.87062 + 8.87062i) q^{50} +(-0.442366 - 3.05223i) q^{51} +(-1.15523 - 0.202295i) q^{52} +(7.67909 - 4.43352i) q^{53} +(4.29891 + 5.17077i) q^{54} +5.68105 q^{55} +(-7.95976 + 0.166744i) q^{56} +(0.198949 - 1.68005i) q^{57} +(-0.775954 - 2.89590i) q^{58} +(7.36954 + 1.97466i) q^{59} +(-1.98432 + 0.852392i) q^{60} +(-5.58459 + 9.67280i) q^{61} +4.07364 q^{62} +(-0.372960 - 7.92849i) q^{63} -8.84347i q^{64} +(-12.5330 - 5.82625i) q^{65} +(-3.08538 - 1.23116i) q^{66} +(-7.79328 - 2.08820i) q^{67} +(-0.501599 - 0.289599i) q^{68} +(-7.93413 + 6.25399i) q^{69} +(-12.7458 - 3.13066i) q^{70} +(3.24997 + 3.24997i) q^{71} +(9.02444 - 0.235235i) q^{72} +(1.49640 - 5.58464i) q^{73} +(-10.1441 + 5.85669i) q^{74} +(-16.6167 + 2.40829i) q^{75} +(-0.224660 - 0.224660i) q^{76} +(2.03125 + 3.35398i) q^{77} +(5.54404 + 5.88029i) q^{78} +(7.93757 - 13.7483i) q^{79} +(3.21808 - 12.0100i) q^{80} +(0.468877 + 8.98778i) q^{81} +(6.68540 + 3.85982i) q^{82} +(2.04147 + 2.04147i) q^{83} +(-1.21273 - 0.866733i) q^{84} +(-4.82641 - 4.82641i) q^{85} +(-2.26485 - 8.45252i) q^{86} +(1.48713 - 3.72688i) q^{87} +(-3.86222 + 2.22986i) q^{88} +(0.172387 + 0.643357i) q^{89} +(14.4704 + 3.47586i) q^{90} +(-1.04144 - 9.48237i) q^{91} +1.89727i q^{92} +(4.36840 + 3.26245i) q^{93} +(2.12634 + 3.68293i) q^{94} +(-1.87207 - 3.24253i) q^{95} +(1.88701 - 2.52669i) q^{96} +(3.72661 - 3.72661i) q^{97} +(-2.70897 - 8.64424i) q^{98} +(-2.32264 - 3.79122i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25001 + 0.334940i −0.883894 + 0.236839i −0.672086 0.740473i \(-0.734602\pi\)
−0.211807 + 0.977311i \(0.567935\pi\)
\(3\) −1.60871 0.641920i −0.928787 0.370613i
\(4\) −0.281700 + 0.162639i −0.140850 + 0.0813197i
\(5\) −3.70264 + 0.992121i −1.65587 + 0.443690i −0.961249 0.275683i \(-0.911096\pi\)
−0.694624 + 0.719373i \(0.744429\pi\)
\(6\) 2.22591 + 0.263589i 0.908725 + 0.107610i
\(7\) −1.90960 1.83124i −0.721761 0.692142i
\(8\) 2.12780 2.12780i 0.752292 0.752292i
\(9\) 2.17588 + 2.06532i 0.725292 + 0.688441i
\(10\) 4.29606 2.48033i 1.35853 0.784349i
\(11\) −1.43154 0.383581i −0.431626 0.115654i 0.0364632 0.999335i \(-0.488391\pi\)
−0.468089 + 0.883681i \(0.655057\pi\)
\(12\) 0.557574 0.0808103i 0.160958 0.0233279i
\(13\) 2.76474 + 2.31435i 0.766802 + 0.641884i
\(14\) 3.00038 + 1.64947i 0.801886 + 0.440839i
\(15\) 6.59333 + 0.780772i 1.70239 + 0.201594i
\(16\) −1.62182 + 2.80907i −0.405455 + 0.702268i
\(17\) 0.890309 + 1.54206i 0.215932 + 0.374005i 0.953560 0.301202i \(-0.0973878\pi\)
−0.737629 + 0.675207i \(0.764054\pi\)
\(18\) −3.41164 1.85290i −0.804131 0.436732i
\(19\) 0.252802 + 0.943471i 0.0579968 + 0.216447i 0.988842 0.148966i \(-0.0475944\pi\)
−0.930846 + 0.365413i \(0.880928\pi\)
\(20\) 0.881676 0.881676i 0.197149 0.197149i
\(21\) 1.89648 + 4.17173i 0.413846 + 0.910347i
\(22\) 1.91793 0.408903
\(23\) 2.91637 5.05131i 0.608106 1.05327i −0.383447 0.923563i \(-0.625263\pi\)
0.991552 0.129707i \(-0.0414037\pi\)
\(24\) −4.78889 + 2.05713i −0.977528 + 0.419910i
\(25\) 8.39515 4.84694i 1.67903 0.969388i
\(26\) −4.23114 1.96694i −0.829794 0.385749i
\(27\) −2.17457 4.71924i −0.418497 0.908218i
\(28\) 0.835765 + 0.205282i 0.157945 + 0.0387947i
\(29\) 2.31669i 0.430199i 0.976592 + 0.215099i \(0.0690076\pi\)
−0.976592 + 0.215099i \(0.930992\pi\)
\(30\) −8.50327 + 1.23240i −1.55248 + 0.225004i
\(31\) −3.04057 0.814718i −0.546102 0.146328i −0.0247884 0.999693i \(-0.507891\pi\)
−0.521314 + 0.853365i \(0.674558\pi\)
\(32\) −0.471235 + 1.75867i −0.0833033 + 0.310892i
\(33\) 2.05670 + 1.53600i 0.358026 + 0.267384i
\(34\) −1.62940 1.62940i −0.279439 0.279439i
\(35\) 8.88738 + 4.88586i 1.50224 + 0.825861i
\(36\) −0.948846 0.227918i −0.158141 0.0379863i
\(37\) 8.74289 2.34265i 1.43732 0.385129i 0.545727 0.837963i \(-0.316253\pi\)
0.891595 + 0.452833i \(0.149587\pi\)
\(38\) −0.632013 1.09468i −0.102526 0.177580i
\(39\) −2.96203 5.49785i −0.474305 0.880361i
\(40\) −5.76746 + 9.98953i −0.911915 + 1.57948i
\(41\) −4.21804 4.21804i −0.658747 0.658747i 0.296337 0.955083i \(-0.404235\pi\)
−0.955083 + 0.296337i \(0.904235\pi\)
\(42\) −3.76791 4.57952i −0.581401 0.706635i
\(43\) 6.76194i 1.03119i 0.856834 + 0.515593i \(0.172428\pi\)
−0.856834 + 0.515593i \(0.827572\pi\)
\(44\) 0.465650 0.124771i 0.0701994 0.0188099i
\(45\) −10.1055 5.48843i −1.50645 0.818166i
\(46\) −1.95362 + 7.29102i −0.288046 + 1.07500i
\(47\) −0.850526 3.17421i −0.124062 0.463005i 0.875743 0.482778i \(-0.160372\pi\)
−0.999804 + 0.0197729i \(0.993706\pi\)
\(48\) 4.41223 3.47790i 0.636851 0.501991i
\(49\) 0.293149 + 6.99386i 0.0418785 + 0.999123i
\(50\) −8.87062 + 8.87062i −1.25450 + 1.25450i
\(51\) −0.442366 3.05223i −0.0619437 0.427398i
\(52\) −1.15523 0.202295i −0.160202 0.0280532i
\(53\) 7.67909 4.43352i 1.05480 0.608991i 0.130813 0.991407i \(-0.458241\pi\)
0.923990 + 0.382416i \(0.124908\pi\)
\(54\) 4.29891 + 5.17077i 0.585008 + 0.703652i
\(55\) 5.68105 0.766033
\(56\) −7.95976 + 0.166744i −1.06367 + 0.0222822i
\(57\) 0.198949 1.68005i 0.0263514 0.222528i
\(58\) −0.775954 2.89590i −0.101888 0.380250i
\(59\) 7.36954 + 1.97466i 0.959433 + 0.257079i 0.704360 0.709843i \(-0.251234\pi\)
0.255073 + 0.966922i \(0.417901\pi\)
\(60\) −1.98432 + 0.852392i −0.256175 + 0.110043i
\(61\) −5.58459 + 9.67280i −0.715034 + 1.23848i 0.247912 + 0.968782i \(0.420255\pi\)
−0.962946 + 0.269693i \(0.913078\pi\)
\(62\) 4.07364 0.517352
\(63\) −0.372960 7.92849i −0.0469886 0.998895i
\(64\) 8.84347i 1.10543i
\(65\) −12.5330 5.82625i −1.55452 0.722657i
\(66\) −3.08538 1.23116i −0.379784 0.151545i
\(67\) −7.79328 2.08820i −0.952100 0.255115i −0.250847 0.968027i \(-0.580709\pi\)
−0.701253 + 0.712912i \(0.747376\pi\)
\(68\) −0.501599 0.289599i −0.0608279 0.0351190i
\(69\) −7.93413 + 6.25399i −0.955156 + 0.752892i
\(70\) −12.7458 3.13066i −1.52342 0.374185i
\(71\) 3.24997 + 3.24997i 0.385701 + 0.385701i 0.873151 0.487450i \(-0.162073\pi\)
−0.487450 + 0.873151i \(0.662073\pi\)
\(72\) 9.02444 0.235235i 1.06354 0.0277227i
\(73\) 1.49640 5.58464i 0.175140 0.653633i −0.821387 0.570371i \(-0.806799\pi\)
0.996528 0.0832621i \(-0.0265339\pi\)
\(74\) −10.1441 + 5.85669i −1.17923 + 0.680827i
\(75\) −16.6167 + 2.40829i −1.91873 + 0.278086i
\(76\) −0.224660 0.224660i −0.0257703 0.0257703i
\(77\) 2.03125 + 3.35398i 0.231482 + 0.382221i
\(78\) 5.54404 + 5.88029i 0.627739 + 0.665811i
\(79\) 7.93757 13.7483i 0.893047 1.54680i 0.0568434 0.998383i \(-0.481896\pi\)
0.836203 0.548419i \(-0.184770\pi\)
\(80\) 3.21808 12.0100i 0.359792 1.34276i
\(81\) 0.468877 + 8.98778i 0.0520974 + 0.998642i
\(82\) 6.68540 + 3.85982i 0.738279 + 0.426245i
\(83\) 2.04147 + 2.04147i 0.224081 + 0.224081i 0.810214 0.586134i \(-0.199351\pi\)
−0.586134 + 0.810214i \(0.699351\pi\)
\(84\) −1.21273 0.866733i −0.132319 0.0945684i
\(85\) −4.82641 4.82641i −0.523498 0.523498i
\(86\) −2.26485 8.45252i −0.244225 0.911459i
\(87\) 1.48713 3.72688i 0.159437 0.399563i
\(88\) −3.86222 + 2.22986i −0.411714 + 0.237703i
\(89\) 0.172387 + 0.643357i 0.0182730 + 0.0681957i 0.974460 0.224560i \(-0.0720944\pi\)
−0.956187 + 0.292756i \(0.905428\pi\)
\(90\) 14.4704 + 3.47586i 1.52531 + 0.366388i
\(91\) −1.04144 9.48237i −0.109172 0.994023i
\(92\) 1.89727i 0.197804i
\(93\) 4.36840 + 3.26245i 0.452982 + 0.338300i
\(94\) 2.12634 + 3.68293i 0.219315 + 0.379865i
\(95\) −1.87207 3.24253i −0.192071 0.332676i
\(96\) 1.88701 2.52669i 0.192592 0.257879i
\(97\) 3.72661 3.72661i 0.378380 0.378380i −0.492138 0.870517i \(-0.663784\pi\)
0.870517 + 0.492138i \(0.163784\pi\)
\(98\) −2.70897 8.64424i −0.273647 0.873200i
\(99\) −2.32264 3.79122i −0.233434 0.381032i
\(100\) −1.57661 + 2.73076i −0.157661 + 0.273076i
\(101\) 4.91090 + 8.50593i 0.488653 + 0.846371i 0.999915 0.0130535i \(-0.00415518\pi\)
−0.511262 + 0.859425i \(0.670822\pi\)
\(102\) 1.57528 + 3.66717i 0.155976 + 0.363104i
\(103\) 9.68840 + 5.59360i 0.954627 + 0.551154i 0.894515 0.447038i \(-0.147521\pi\)
0.0601115 + 0.998192i \(0.480854\pi\)
\(104\) 10.8073 0.958352i 1.05974 0.0939742i
\(105\) −11.1609 13.5649i −1.08919 1.32380i
\(106\) −8.11400 + 8.11400i −0.788102 + 0.788102i
\(107\) 14.9833 + 8.65062i 1.44849 + 0.836287i 0.998392 0.0566907i \(-0.0180549\pi\)
0.450100 + 0.892978i \(0.351388\pi\)
\(108\) 1.38011 + 0.975737i 0.132801 + 0.0938903i
\(109\) 8.01976 + 2.14889i 0.768154 + 0.205826i 0.621556 0.783370i \(-0.286501\pi\)
0.146598 + 0.989196i \(0.453168\pi\)
\(110\) −7.10140 + 1.90281i −0.677092 + 0.181426i
\(111\) −15.5685 1.84360i −1.47770 0.174987i
\(112\) 8.24110 2.39427i 0.778711 0.226238i
\(113\) 8.40669i 0.790835i 0.918501 + 0.395418i \(0.129400\pi\)
−0.918501 + 0.395418i \(0.870600\pi\)
\(114\) 0.314027 + 2.16672i 0.0294114 + 0.202932i
\(115\) −5.78679 + 21.5966i −0.539621 + 2.01389i
\(116\) −0.376785 0.652611i −0.0349836 0.0605934i
\(117\) 1.23586 + 10.7458i 0.114256 + 0.993451i
\(118\) −9.87343 −0.908923
\(119\) 1.12374 4.57509i 0.103013 0.419398i
\(120\) 15.6906 12.3680i 1.43235 1.12904i
\(121\) −7.62410 4.40178i −0.693100 0.400161i
\(122\) 3.74101 13.9616i 0.338695 1.26403i
\(123\) 4.07794 + 9.49323i 0.367696 + 0.855976i
\(124\) 0.989032 0.265010i 0.0888177 0.0237986i
\(125\) −12.7229 + 12.7229i −1.13797 + 1.13797i
\(126\) 3.12178 + 9.78580i 0.278110 + 0.871789i
\(127\) 12.9225i 1.14669i −0.819314 0.573345i \(-0.805645\pi\)
0.819314 0.573345i \(-0.194355\pi\)
\(128\) 2.01957 + 7.53713i 0.178506 + 0.666194i
\(129\) 4.34063 10.8780i 0.382171 0.957752i
\(130\) 17.6178 + 3.08509i 1.54519 + 0.270581i
\(131\) −3.75893 2.17022i −0.328419 0.189613i 0.326720 0.945121i \(-0.394057\pi\)
−0.655139 + 0.755508i \(0.727390\pi\)
\(132\) −0.829187 0.0981910i −0.0721715 0.00854643i
\(133\) 1.24497 2.26459i 0.107952 0.196365i
\(134\) 10.4411 0.901977
\(135\) 12.7337 + 15.3162i 1.09595 + 1.31821i
\(136\) 5.17560 + 1.38680i 0.443804 + 0.118917i
\(137\) 18.7248 + 5.01729i 1.59977 + 0.428656i 0.944972 0.327152i \(-0.106089\pi\)
0.654794 + 0.755808i \(0.272755\pi\)
\(138\) 7.82306 10.4750i 0.665943 0.891695i
\(139\) 18.2780 1.55032 0.775160 0.631765i \(-0.217669\pi\)
0.775160 + 0.631765i \(0.217669\pi\)
\(140\) −3.29820 + 0.0690922i −0.278749 + 0.00583935i
\(141\) −0.669340 + 5.65234i −0.0563686 + 0.476013i
\(142\) −5.15106 2.97397i −0.432267 0.249570i
\(143\) −3.07011 4.37359i −0.256735 0.365738i
\(144\) −9.33052 + 2.76261i −0.777543 + 0.230218i
\(145\) −2.29844 8.57789i −0.190875 0.712355i
\(146\) 7.48209i 0.619222i
\(147\) 4.01791 11.4392i 0.331392 0.943493i
\(148\) −2.08186 + 2.08186i −0.171128 + 0.171128i
\(149\) −6.63217 + 1.77708i −0.543328 + 0.145584i −0.520036 0.854144i \(-0.674081\pi\)
−0.0232922 + 0.999729i \(0.507415\pi\)
\(150\) 19.9645 8.57600i 1.63009 0.700227i
\(151\) 0.928800 3.46633i 0.0755847 0.282086i −0.917781 0.397088i \(-0.870021\pi\)
0.993365 + 0.115002i \(0.0366875\pi\)
\(152\) 2.54543 + 1.46961i 0.206462 + 0.119201i
\(153\) −1.24765 + 5.19411i −0.100867 + 0.419919i
\(154\) −3.66247 3.51217i −0.295130 0.283019i
\(155\) 12.0664 0.969200
\(156\) 1.72857 + 1.06700i 0.138396 + 0.0854283i
\(157\) −7.33140 12.6984i −0.585110 1.01344i −0.994862 0.101243i \(-0.967718\pi\)
0.409752 0.912197i \(-0.365615\pi\)
\(158\) −5.31723 + 19.8442i −0.423016 + 1.57872i
\(159\) −15.1994 + 2.20288i −1.20539 + 0.174700i
\(160\) 6.97926i 0.551759i
\(161\) −14.8192 + 4.30541i −1.16792 + 0.339314i
\(162\) −3.59647 11.0778i −0.282566 0.870355i
\(163\) −17.5190 + 4.69421i −1.37219 + 0.367679i −0.868280 0.496075i \(-0.834774\pi\)
−0.503915 + 0.863753i \(0.668108\pi\)
\(164\) 1.87424 + 0.502200i 0.146353 + 0.0392153i
\(165\) −9.13915 3.64678i −0.711482 0.283902i
\(166\) −3.23564 1.86810i −0.251134 0.144993i
\(167\) 7.84652 7.84652i 0.607182 0.607182i −0.335027 0.942209i \(-0.608745\pi\)
0.942209 + 0.335027i \(0.108745\pi\)
\(168\) 12.9120 + 4.84129i 0.996179 + 0.373514i
\(169\) 2.28760 + 12.7971i 0.175969 + 0.984396i
\(170\) 7.64964 + 4.41652i 0.586701 + 0.338732i
\(171\) −1.39851 + 2.57500i −0.106946 + 0.196915i
\(172\) −1.09976 1.90483i −0.0838557 0.145242i
\(173\) 9.63489 16.6881i 0.732527 1.26877i −0.223272 0.974756i \(-0.571674\pi\)
0.955800 0.294019i \(-0.0949927\pi\)
\(174\) −0.610654 + 5.15675i −0.0462936 + 0.390932i
\(175\) −24.9073 6.11778i −1.88281 0.462460i
\(176\) 3.39921 3.39921i 0.256225 0.256225i
\(177\) −10.5879 7.90731i −0.795832 0.594350i
\(178\) −0.430972 0.746466i −0.0323027 0.0559500i
\(179\) 2.58824 + 4.48296i 0.193454 + 0.335072i 0.946393 0.323019i \(-0.104698\pi\)
−0.752939 + 0.658091i \(0.771364\pi\)
\(180\) 3.73936 0.0974718i 0.278716 0.00726512i
\(181\) 2.66916i 0.198397i −0.995068 0.0991987i \(-0.968372\pi\)
0.995068 0.0991987i \(-0.0316279\pi\)
\(182\) 4.47784 + 11.5043i 0.331920 + 0.852754i
\(183\) 15.1931 11.9758i 1.12311 0.885279i
\(184\) −4.54272 16.9536i −0.334893 1.24984i
\(185\) −30.0476 + 17.3480i −2.20915 + 1.27545i
\(186\) −6.55329 2.61495i −0.480510 0.191737i
\(187\) −0.683011 2.54903i −0.0499467 0.186404i
\(188\) 0.755843 + 0.755843i 0.0551255 + 0.0551255i
\(189\) −4.48947 + 12.9940i −0.326561 + 0.945176i
\(190\) 3.42617 + 3.42617i 0.248561 + 0.248561i
\(191\) 3.97121 + 2.29278i 0.287347 + 0.165900i 0.636745 0.771075i \(-0.280281\pi\)
−0.349398 + 0.936974i \(0.613614\pi\)
\(192\) −5.67681 + 14.2266i −0.409688 + 1.02671i
\(193\) −1.84201 + 6.87446i −0.132590 + 0.494834i −0.999996 0.00276724i \(-0.999119\pi\)
0.867406 + 0.497602i \(0.165786\pi\)
\(194\) −3.41012 + 5.90651i −0.244833 + 0.424063i
\(195\) 16.4219 + 17.4179i 1.17600 + 1.24732i
\(196\) −1.22006 1.92249i −0.0871469 0.137321i
\(197\) −11.0026 11.0026i −0.783905 0.783905i 0.196582 0.980487i \(-0.437016\pi\)
−0.980487 + 0.196582i \(0.937016\pi\)
\(198\) 4.17317 + 3.96114i 0.296574 + 0.281506i
\(199\) 7.74931 4.47407i 0.549334 0.317158i −0.199519 0.979894i \(-0.563938\pi\)
0.748853 + 0.662736i \(0.230605\pi\)
\(200\) 7.54988 28.1765i 0.533857 1.99238i
\(201\) 11.1966 + 8.36197i 0.789750 + 0.589808i
\(202\) −8.98767 8.98767i −0.632370 0.632370i
\(203\) 4.24241 4.42396i 0.297759 0.310501i
\(204\) 0.621027 + 0.787866i 0.0434806 + 0.0551617i
\(205\) 19.8027 + 11.4331i 1.38308 + 0.798522i
\(206\) −13.9842 3.74705i −0.974323 0.261069i
\(207\) 16.7782 4.96776i 1.16617 0.345283i
\(208\) −10.9851 + 4.01291i −0.761678 + 0.278245i
\(209\) 1.44759i 0.100132i
\(210\) 18.4947 + 13.2181i 1.27625 + 0.912137i
\(211\) 7.52078 0.517752 0.258876 0.965911i \(-0.416648\pi\)
0.258876 + 0.965911i \(0.416648\pi\)
\(212\) −1.44213 + 2.49784i −0.0990459 + 0.171553i
\(213\) −3.14203 7.31448i −0.215288 0.501180i
\(214\) −21.6268 5.79489i −1.47838 0.396130i
\(215\) −6.70866 25.0371i −0.457527 1.70751i
\(216\) −14.6687 5.41455i −0.998077 0.368413i
\(217\) 4.31433 + 7.12378i 0.292876 + 0.483594i
\(218\) −10.7446 −0.727714
\(219\) −5.99217 + 8.02349i −0.404913 + 0.542177i
\(220\) −1.60035 + 0.923962i −0.107896 + 0.0622935i
\(221\) −1.10739 + 6.32389i −0.0744910 + 0.425391i
\(222\) 20.0784 2.91001i 1.34757 0.195307i
\(223\) −1.48166 + 1.48166i −0.0992194 + 0.0992194i −0.754974 0.655755i \(-0.772351\pi\)
0.655755 + 0.754974i \(0.272351\pi\)
\(224\) 4.12041 2.49542i 0.275307 0.166732i
\(225\) 28.2773 + 6.79235i 1.88515 + 0.452823i
\(226\) −2.81574 10.5085i −0.187300 0.699014i
\(227\) 1.64074 6.12331i 0.108899 0.406418i −0.889859 0.456236i \(-0.849197\pi\)
0.998758 + 0.0498176i \(0.0158640\pi\)
\(228\) 0.217198 + 0.505626i 0.0143843 + 0.0334859i
\(229\) 0.221569 0.0593693i 0.0146417 0.00392324i −0.251491 0.967860i \(-0.580921\pi\)
0.266132 + 0.963936i \(0.414254\pi\)
\(230\) 28.9343i 1.90787i
\(231\) −1.11470 6.69947i −0.0733416 0.440793i
\(232\) 4.92946 + 4.92946i 0.323635 + 0.323635i
\(233\) −3.45351 + 5.98165i −0.226247 + 0.391871i −0.956693 0.291100i \(-0.905979\pi\)
0.730446 + 0.682970i \(0.239312\pi\)
\(234\) −5.14406 13.0185i −0.336277 0.851045i
\(235\) 6.29839 + 10.9091i 0.410862 + 0.711633i
\(236\) −2.39715 + 0.642316i −0.156041 + 0.0418112i
\(237\) −21.5945 + 17.0217i −1.40272 + 1.10568i
\(238\) 0.127687 + 6.09531i 0.00827673 + 0.395100i
\(239\) −11.9412 11.9412i −0.772411 0.772411i 0.206116 0.978527i \(-0.433917\pi\)
−0.978527 + 0.206116i \(0.933917\pi\)
\(240\) −12.8864 + 17.2549i −0.831816 + 1.11380i
\(241\) −4.68923 + 17.5004i −0.302060 + 1.12730i 0.633387 + 0.773835i \(0.281664\pi\)
−0.935447 + 0.353467i \(0.885003\pi\)
\(242\) 11.0046 + 2.94867i 0.707400 + 0.189547i
\(243\) 5.01515 14.7597i 0.321722 0.946834i
\(244\) 3.63310i 0.232585i
\(245\) −8.02418 25.6049i −0.512646 1.63584i
\(246\) −8.27715 10.5008i −0.527732 0.669507i
\(247\) −1.48459 + 3.19353i −0.0944620 + 0.203199i
\(248\) −8.20329 + 4.73617i −0.520909 + 0.300747i
\(249\) −1.97367 4.59459i −0.125076 0.291170i
\(250\) 11.6424 20.1652i 0.736329 1.27536i
\(251\) −27.0736 −1.70887 −0.854435 0.519558i \(-0.826096\pi\)
−0.854435 + 0.519558i \(0.826096\pi\)
\(252\) 1.39455 + 2.17279i 0.0878482 + 0.136873i
\(253\) −6.11249 + 6.11249i −0.384289 + 0.384289i
\(254\) 4.32828 + 16.1534i 0.271581 + 1.01355i
\(255\) 4.66611 + 10.8624i 0.292203 + 0.680233i
\(256\) 3.79450 + 6.57226i 0.237156 + 0.410766i
\(257\) −3.59554 + 6.22766i −0.224284 + 0.388471i −0.956104 0.293027i \(-0.905338\pi\)
0.731821 + 0.681497i \(0.238671\pi\)
\(258\) −1.78237 + 15.0515i −0.110966 + 0.937064i
\(259\) −20.9854 11.5368i −1.30397 0.716860i
\(260\) 4.47811 0.397103i 0.277721 0.0246273i
\(261\) −4.78472 + 5.04084i −0.296167 + 0.312020i
\(262\) 5.42561 + 1.45379i 0.335195 + 0.0898153i
\(263\) 9.20203 5.31279i 0.567421 0.327601i −0.188698 0.982035i \(-0.560427\pi\)
0.756119 + 0.654434i \(0.227093\pi\)
\(264\) 7.64457 1.10794i 0.470491 0.0681893i
\(265\) −24.0343 + 24.0343i −1.47642 + 1.47642i
\(266\) −0.797723 + 3.24777i −0.0489115 + 0.199133i
\(267\) 0.135664 1.14563i 0.00830249 0.0701115i
\(268\) 2.53499 0.679248i 0.154849 0.0414917i
\(269\) 2.77348 1.60127i 0.169102 0.0976313i −0.413060 0.910704i \(-0.635540\pi\)
0.582162 + 0.813072i \(0.302207\pi\)
\(270\) −21.0474 14.8805i −1.28090 0.905596i
\(271\) 6.41316 1.71840i 0.389572 0.104385i −0.0587161 0.998275i \(-0.518701\pi\)
0.448288 + 0.893889i \(0.352034\pi\)
\(272\) −5.77568 −0.350202
\(273\) −4.41156 + 15.9229i −0.267000 + 0.963697i
\(274\) −25.0867 −1.51555
\(275\) −13.8772 + 3.71838i −0.836827 + 0.224227i
\(276\) 1.21789 3.05215i 0.0733086 0.183718i
\(277\) −20.1422 + 11.6291i −1.21023 + 0.698724i −0.962808 0.270185i \(-0.912915\pi\)
−0.247417 + 0.968909i \(0.579582\pi\)
\(278\) −22.8478 + 6.12204i −1.37032 + 0.367176i
\(279\) −4.93325 8.05248i −0.295346 0.482090i
\(280\) 29.3067 8.51444i 1.75141 0.508835i
\(281\) −8.31033 + 8.31033i −0.495753 + 0.495753i −0.910113 0.414360i \(-0.864005\pi\)
0.414360 + 0.910113i \(0.364005\pi\)
\(282\) −1.05651 7.28969i −0.0629143 0.434095i
\(283\) 16.9426 9.78183i 1.00713 0.581469i 0.0967832 0.995305i \(-0.469145\pi\)
0.910351 + 0.413836i \(0.135811\pi\)
\(284\) −1.44409 0.386943i −0.0856909 0.0229608i
\(285\) 0.930175 + 6.41800i 0.0550988 + 0.380170i
\(286\) 5.30257 + 4.43874i 0.313547 + 0.262468i
\(287\) 0.330545 + 15.7790i 0.0195114 + 0.931404i
\(288\) −4.65757 + 2.85340i −0.274450 + 0.168138i
\(289\) 6.91470 11.9766i 0.406747 0.704506i
\(290\) 5.74616 + 9.95264i 0.337426 + 0.584439i
\(291\) −8.38721 + 3.60284i −0.491667 + 0.211202i
\(292\) 0.486747 + 1.81657i 0.0284847 + 0.106306i
\(293\) −3.10734 + 3.10734i −0.181533 + 0.181533i −0.792024 0.610491i \(-0.790972\pi\)
0.610491 + 0.792024i \(0.290972\pi\)
\(294\) −1.19098 + 15.6450i −0.0694593 + 0.912434i
\(295\) −29.2459 −1.70276
\(296\) 13.6184 23.5878i 0.791556 1.37102i
\(297\) 1.30279 + 7.58992i 0.0755953 + 0.440412i
\(298\) 7.69509 4.44276i 0.445764 0.257362i
\(299\) 19.7535 7.21606i 1.14237 0.417316i
\(300\) 4.28923 3.38094i 0.247639 0.195199i
\(301\) 12.3827 12.9126i 0.713727 0.744270i
\(302\) 4.64405i 0.267235i
\(303\) −2.44007 16.8359i −0.140178 0.967200i
\(304\) −3.06028 0.819999i −0.175519 0.0470302i
\(305\) 11.0812 41.3555i 0.634507 2.36801i
\(306\) −0.180135 6.91060i −0.0102976 0.395053i
\(307\) 12.7457 + 12.7457i 0.727435 + 0.727435i 0.970108 0.242673i \(-0.0780242\pi\)
−0.242673 + 0.970108i \(0.578024\pi\)
\(308\) −1.11769 0.614453i −0.0636863 0.0350117i
\(309\) −11.9952 15.2176i −0.682380 0.865702i
\(310\) −15.0832 + 4.04154i −0.856670 + 0.229544i
\(311\) 2.79666 + 4.84396i 0.158584 + 0.274676i 0.934358 0.356335i \(-0.115974\pi\)
−0.775774 + 0.631011i \(0.782640\pi\)
\(312\) −18.0010 5.39572i −1.01910 0.305472i
\(313\) −7.93436 + 13.7427i −0.448477 + 0.776785i −0.998287 0.0585049i \(-0.981367\pi\)
0.549810 + 0.835290i \(0.314700\pi\)
\(314\) 13.4176 + 13.4176i 0.757196 + 0.757196i
\(315\) 9.24695 + 28.9863i 0.521007 + 1.63320i
\(316\) 5.16385i 0.290489i
\(317\) 12.4356 3.33212i 0.698455 0.187151i 0.107917 0.994160i \(-0.465582\pi\)
0.590539 + 0.807009i \(0.298915\pi\)
\(318\) 18.2616 7.84451i 1.02406 0.439898i
\(319\) 0.888638 3.31644i 0.0497542 0.185685i
\(320\) 8.77379 + 32.7442i 0.490470 + 1.83046i
\(321\) −18.5508 23.5344i −1.03540 1.31356i
\(322\) 17.0822 10.3454i 0.951954 0.576526i
\(323\) −1.22982 + 1.22982i −0.0684289 + 0.0684289i
\(324\) −1.59385 2.45560i −0.0885471 0.136422i
\(325\) 34.4279 + 6.02874i 1.90972 + 0.334414i
\(326\) 20.3267 11.7356i 1.12579 0.649978i
\(327\) −11.5220 8.60498i −0.637170 0.475856i
\(328\) −17.9503 −0.991139
\(329\) −4.18856 + 7.61898i −0.230923 + 0.420048i
\(330\) 12.6455 + 1.49746i 0.696113 + 0.0824325i
\(331\) 6.27644 + 23.4240i 0.344985 + 1.28750i 0.892630 + 0.450790i \(0.148858\pi\)
−0.547646 + 0.836710i \(0.684476\pi\)
\(332\) −0.907105 0.243058i −0.0497839 0.0133395i
\(333\) 23.8618 + 12.9596i 1.30762 + 0.710181i
\(334\) −7.18015 + 12.4364i −0.392880 + 0.680488i
\(335\) 30.9275 1.68975
\(336\) −14.7944 1.43845i −0.807103 0.0784736i
\(337\) 2.85524i 0.155535i 0.996972 + 0.0777674i \(0.0247792\pi\)
−0.996972 + 0.0777674i \(0.975221\pi\)
\(338\) −7.14581 15.2304i −0.388681 0.828425i
\(339\) 5.39643 13.5239i 0.293094 0.734518i
\(340\) 2.14456 + 0.574634i 0.116305 + 0.0311639i
\(341\) 4.04019 + 2.33261i 0.218789 + 0.126318i
\(342\) 0.885684 3.68720i 0.0478923 0.199381i
\(343\) 12.2476 13.8923i 0.661309 0.750114i
\(344\) 14.3881 + 14.3881i 0.775753 + 0.775753i
\(345\) 23.1725 31.0279i 1.24757 1.67049i
\(346\) −6.45423 + 24.0875i −0.346982 + 1.29495i
\(347\) −24.9745 + 14.4190i −1.34070 + 0.774053i −0.986910 0.161272i \(-0.948441\pi\)
−0.353790 + 0.935325i \(0.615107\pi\)
\(348\) 0.187213 + 1.29173i 0.0100357 + 0.0692438i
\(349\) 3.66496 + 3.66496i 0.196181 + 0.196181i 0.798361 0.602180i \(-0.205701\pi\)
−0.602180 + 0.798361i \(0.705701\pi\)
\(350\) 33.1835 0.695143i 1.77373 0.0371569i
\(351\) 4.90982 18.0802i 0.262067 0.965050i
\(352\) 1.34918 2.33686i 0.0719118 0.124555i
\(353\) 6.76121 25.2332i 0.359863 1.34303i −0.514390 0.857557i \(-0.671981\pi\)
0.874253 0.485471i \(-0.161352\pi\)
\(354\) 15.8835 + 6.33796i 0.844196 + 0.336859i
\(355\) −15.2579 8.80913i −0.809803 0.467540i
\(356\) −0.153196 0.153196i −0.00811939 0.00811939i
\(357\) −4.74461 + 6.63862i −0.251112 + 0.351353i
\(358\) −4.73686 4.73686i −0.250351 0.250351i
\(359\) 5.98702 + 22.3439i 0.315983 + 1.17926i 0.923071 + 0.384630i \(0.125671\pi\)
−0.607088 + 0.794635i \(0.707662\pi\)
\(360\) −33.1809 + 9.82432i −1.74879 + 0.517787i
\(361\) 15.6283 9.02298i 0.822540 0.474893i
\(362\) 0.894011 + 3.33649i 0.0469882 + 0.175362i
\(363\) 9.43935 + 11.9752i 0.495438 + 0.628537i
\(364\) 1.83558 + 2.50180i 0.0962105 + 0.131130i
\(365\) 22.1626i 1.16004i
\(366\) −14.9805 + 20.0588i −0.783041 + 1.04849i
\(367\) −7.46154 12.9238i −0.389489 0.674616i 0.602891 0.797823i \(-0.294015\pi\)
−0.992381 + 0.123208i \(0.960682\pi\)
\(368\) 9.45965 + 16.3846i 0.493119 + 0.854106i
\(369\) −0.466316 17.8895i −0.0242755 0.931292i
\(370\) 31.7494 31.7494i 1.65057 1.65057i
\(371\) −22.7828 5.59596i −1.18282 0.290528i
\(372\) −1.76118 0.208556i −0.0913128 0.0108131i
\(373\) 15.1061 26.1645i 0.782164 1.35475i −0.148515 0.988910i \(-0.547449\pi\)
0.930679 0.365837i \(-0.119217\pi\)
\(374\) 1.70755 + 2.95756i 0.0882951 + 0.152932i
\(375\) 28.6345 12.3003i 1.47868 0.635185i
\(376\) −8.56383 4.94433i −0.441646 0.254984i
\(377\) −5.36163 + 6.40506i −0.276138 + 0.329877i
\(378\) 1.25968 17.7464i 0.0647912 0.912778i
\(379\) −15.3869 + 15.3869i −0.790374 + 0.790374i −0.981555 0.191181i \(-0.938768\pi\)
0.191181 + 0.981555i \(0.438768\pi\)
\(380\) 1.05473 + 0.608946i 0.0541063 + 0.0312383i
\(381\) −8.29525 + 20.7886i −0.424978 + 1.06503i
\(382\) −5.73202 1.53589i −0.293276 0.0785829i
\(383\) 17.6074 4.71790i 0.899698 0.241073i 0.220811 0.975317i \(-0.429130\pi\)
0.678886 + 0.734243i \(0.262463\pi\)
\(384\) 1.58934 13.4214i 0.0811059 0.684910i
\(385\) −10.8485 10.4033i −0.552893 0.530204i
\(386\) 9.21013i 0.468784i
\(387\) −13.9656 + 14.7131i −0.709911 + 0.747911i
\(388\) −0.443691 + 1.65588i −0.0225250 + 0.0840644i
\(389\) 4.78065 + 8.28033i 0.242389 + 0.419829i 0.961394 0.275175i \(-0.0887358\pi\)
−0.719006 + 0.695004i \(0.755402\pi\)
\(390\) −26.3616 16.2723i −1.33487 0.823978i
\(391\) 10.3859 0.525237
\(392\) 15.5053 + 14.2578i 0.783137 + 0.720127i
\(393\) 4.65391 + 5.90418i 0.234759 + 0.297826i
\(394\) 17.4387 + 10.0682i 0.878548 + 0.507230i
\(395\) −15.7501 + 58.7800i −0.792472 + 2.95754i
\(396\) 1.27089 + 0.690233i 0.0638646 + 0.0346855i
\(397\) 4.95510 1.32771i 0.248689 0.0666360i −0.132321 0.991207i \(-0.542243\pi\)
0.381010 + 0.924571i \(0.375576\pi\)
\(398\) −8.18821 + 8.18821i −0.410438 + 0.410438i
\(399\) −3.45648 + 2.84390i −0.173040 + 0.142373i
\(400\) 31.4434i 1.57217i
\(401\) −6.47542 24.1666i −0.323367 1.20682i −0.915943 0.401308i \(-0.868556\pi\)
0.592576 0.805515i \(-0.298111\pi\)
\(402\) −16.7967 6.70238i −0.837744 0.334284i
\(403\) −6.52085 9.28941i −0.324827 0.462739i
\(404\) −2.76680 1.59741i −0.137653 0.0794741i
\(405\) −10.6530 32.8134i −0.529354 1.63051i
\(406\) −3.82131 + 6.95096i −0.189649 + 0.344971i
\(407\) −13.4144 −0.664928
\(408\) −7.43581 5.55328i −0.368128 0.274928i
\(409\) 38.4401 + 10.3000i 1.90074 + 0.509301i 0.996633 + 0.0819915i \(0.0261280\pi\)
0.904105 + 0.427310i \(0.140539\pi\)
\(410\) −28.5831 7.65881i −1.41162 0.378242i
\(411\) −26.9020 20.0912i −1.32698 0.991024i
\(412\) −3.63896 −0.179279
\(413\) −10.4568 17.2662i −0.514546 0.849614i
\(414\) −19.3091 + 11.8295i −0.948993 + 0.581388i
\(415\) −9.58423 5.53346i −0.470471 0.271627i
\(416\) −5.37302 + 3.77167i −0.263434 + 0.184921i
\(417\) −29.4040 11.7330i −1.43992 0.574569i
\(418\) 0.484856 + 1.80951i 0.0237151 + 0.0885059i
\(419\) 35.0848i 1.71401i −0.515312 0.857003i \(-0.672324\pi\)
0.515312 0.857003i \(-0.327676\pi\)
\(420\) 5.35020 + 2.00604i 0.261063 + 0.0978845i
\(421\) 7.19039 7.19039i 0.350438 0.350438i −0.509834 0.860273i \(-0.670293\pi\)
0.860273 + 0.509834i \(0.170293\pi\)
\(422\) −9.40108 + 2.51901i −0.457637 + 0.122624i
\(423\) 4.70512 8.66329i 0.228771 0.421224i
\(424\) 6.90592 25.7732i 0.335381 1.25166i
\(425\) 14.9486 + 8.63055i 0.725111 + 0.418643i
\(426\) 6.37750 + 8.09081i 0.308991 + 0.392001i
\(427\) 28.3775 8.24448i 1.37328 0.398978i
\(428\) −5.62773 −0.272026
\(429\) 2.13141 + 9.00658i 0.102905 + 0.434842i
\(430\) 16.7718 + 29.0497i 0.808810 + 1.40090i
\(431\) −6.53304 + 24.3816i −0.314685 + 1.17442i 0.609597 + 0.792712i \(0.291331\pi\)
−0.924282 + 0.381710i \(0.875335\pi\)
\(432\) 16.7834 + 1.54521i 0.807494 + 0.0743441i
\(433\) 15.7187i 0.755394i −0.925929 0.377697i \(-0.876716\pi\)
0.925929 0.377697i \(-0.123284\pi\)
\(434\) −7.77902 7.45979i −0.373405 0.358081i
\(435\) −1.80881 + 15.2747i −0.0867257 + 0.732367i
\(436\) −2.60866 + 0.698987i −0.124932 + 0.0334754i
\(437\) 5.50303 + 1.47453i 0.263246 + 0.0705364i
\(438\) 4.80291 12.0365i 0.229492 0.575126i
\(439\) 9.47409 + 5.46987i 0.452174 + 0.261063i 0.708748 0.705462i \(-0.249260\pi\)
−0.256574 + 0.966525i \(0.582594\pi\)
\(440\) 12.0882 12.0882i 0.576280 0.576280i
\(441\) −13.8067 + 15.8232i −0.657463 + 0.753487i
\(442\) −0.733873 8.27586i −0.0349068 0.393642i
\(443\) −11.9352 6.89078i −0.567058 0.327391i 0.188916 0.981993i \(-0.439503\pi\)
−0.755973 + 0.654602i \(0.772836\pi\)
\(444\) 4.68549 2.01272i 0.222364 0.0955193i
\(445\) −1.27658 2.21109i −0.0605155 0.104816i
\(446\) 1.35583 2.34837i 0.0642004 0.111198i
\(447\) 11.8100 + 1.39852i 0.558592 + 0.0661475i
\(448\) −16.1945 + 16.8875i −0.765118 + 0.797859i
\(449\) 17.2469 17.2469i 0.813931 0.813931i −0.171289 0.985221i \(-0.554793\pi\)
0.985221 + 0.171289i \(0.0547933\pi\)
\(450\) −37.6221 + 0.980673i −1.77352 + 0.0462294i
\(451\) 4.42034 + 7.65626i 0.208146 + 0.360519i
\(452\) −1.36726 2.36816i −0.0643104 0.111389i
\(453\) −3.71927 + 4.98009i −0.174747 + 0.233985i
\(454\) 8.20377i 0.385022i
\(455\) 13.2637 + 34.0766i 0.621813 + 1.59754i
\(456\) −3.15149 3.99813i −0.147582 0.187230i
\(457\) −1.05340 3.93136i −0.0492761 0.183901i 0.936901 0.349594i \(-0.113681\pi\)
−0.986177 + 0.165693i \(0.947014\pi\)
\(458\) −0.257080 + 0.148425i −0.0120125 + 0.00693545i
\(459\) 5.34131 7.55491i 0.249311 0.352633i
\(460\) −1.88232 7.02491i −0.0877635 0.327538i
\(461\) 6.28561 + 6.28561i 0.292750 + 0.292750i 0.838166 0.545416i \(-0.183628\pi\)
−0.545416 + 0.838166i \(0.683628\pi\)
\(462\) 3.63731 + 8.00107i 0.169223 + 0.372244i
\(463\) −20.3623 20.3623i −0.946318 0.946318i 0.0523129 0.998631i \(-0.483341\pi\)
−0.998631 + 0.0523129i \(0.983341\pi\)
\(464\) −6.50775 3.75725i −0.302115 0.174426i
\(465\) −19.4114 7.74570i −0.900181 0.359198i
\(466\) 2.31344 8.63387i 0.107168 0.399956i
\(467\) −7.33823 + 12.7102i −0.339573 + 0.588158i −0.984352 0.176211i \(-0.943616\pi\)
0.644779 + 0.764369i \(0.276949\pi\)
\(468\) −2.09583 2.82609i −0.0968800 0.130636i
\(469\) 11.0581 + 18.2590i 0.510614 + 0.843121i
\(470\) −11.5270 11.5270i −0.531700 0.531700i
\(471\) 3.64274 + 25.1341i 0.167849 + 1.15812i
\(472\) 19.8826 11.4792i 0.915172 0.528375i
\(473\) 2.59375 9.68000i 0.119261 0.445087i
\(474\) 21.2922 28.5102i 0.977985 1.30952i
\(475\) 6.69526 + 6.69526i 0.307200 + 0.307200i
\(476\) 0.427531 + 1.47156i 0.0195959 + 0.0674491i
\(477\) 25.8654 + 6.21300i 1.18430 + 0.284474i
\(478\) 18.9262 + 10.9271i 0.865666 + 0.499793i
\(479\) 20.6864 + 5.54291i 0.945187 + 0.253262i 0.698319 0.715787i \(-0.253932\pi\)
0.246868 + 0.969049i \(0.420598\pi\)
\(480\) −4.48013 + 11.2276i −0.204489 + 0.512467i
\(481\) 29.5935 + 13.7573i 1.34935 + 0.627277i
\(482\) 23.4464i 1.06796i
\(483\) 26.6035 + 2.58663i 1.21050 + 0.117696i
\(484\) 2.86361 0.130164
\(485\) −10.1011 + 17.4956i −0.458666 + 0.794432i
\(486\) −1.32540 + 20.1296i −0.0601213 + 0.913097i
\(487\) −2.67104 0.715703i −0.121036 0.0324316i 0.197792 0.980244i \(-0.436623\pi\)
−0.318829 + 0.947812i \(0.603289\pi\)
\(488\) 8.69890 + 32.4647i 0.393780 + 1.46961i
\(489\) 31.1963 + 3.69421i 1.41074 + 0.167058i
\(490\) 18.6065 + 29.3189i 0.840555 + 1.32449i
\(491\) −3.45508 −0.155925 −0.0779627 0.996956i \(-0.524842\pi\)
−0.0779627 + 0.996956i \(0.524842\pi\)
\(492\) −2.69273 2.01100i −0.121397 0.0906631i
\(493\) −3.57248 + 2.06257i −0.160896 + 0.0928936i
\(494\) 0.786113 4.48920i 0.0353689 0.201979i
\(495\) 12.3613 + 11.7332i 0.555598 + 0.527368i
\(496\) 7.21985 7.21985i 0.324181 0.324181i
\(497\) −0.254683 12.1576i −0.0114241 0.545344i
\(498\) 4.00603 + 5.08225i 0.179514 + 0.227741i
\(499\) 5.87182 + 21.9139i 0.262859 + 0.981003i 0.963548 + 0.267536i \(0.0862094\pi\)
−0.700689 + 0.713467i \(0.747124\pi\)
\(500\) 1.51479 5.65327i 0.0677434 0.252822i
\(501\) −17.6596 + 7.58591i −0.788972 + 0.338913i
\(502\) 33.8424 9.06804i 1.51046 0.404726i
\(503\) 21.8711i 0.975184i 0.873072 + 0.487592i \(0.162125\pi\)
−0.873072 + 0.487592i \(0.837875\pi\)
\(504\) −17.6638 16.0767i −0.786810 0.716112i
\(505\) −26.6222 26.6222i −1.18467 1.18467i
\(506\) 5.59339 9.68803i 0.248656 0.430685i
\(507\) 4.53467 22.0553i 0.201392 0.979511i
\(508\) 2.10171 + 3.64028i 0.0932485 + 0.161511i
\(509\) 34.7228 9.30395i 1.53906 0.412390i 0.613099 0.790006i \(-0.289922\pi\)
0.925963 + 0.377615i \(0.123256\pi\)
\(510\) −9.47098 12.0154i −0.419382 0.532049i
\(511\) −13.0843 + 7.92418i −0.578817 + 0.350545i
\(512\) −17.9796 17.9796i −0.794594 0.794594i
\(513\) 3.90273 3.24468i 0.172310 0.143256i
\(514\) 2.40858 8.98895i 0.106238 0.396486i
\(515\) −41.4222 11.0991i −1.82528 0.489083i
\(516\) 0.546434 + 3.77028i 0.0240554 + 0.165977i
\(517\) 4.87025i 0.214194i
\(518\) 30.0962 + 7.39228i 1.32235 + 0.324798i
\(519\) −26.2122 + 20.6615i −1.15059 + 0.906938i
\(520\) −39.0648 + 14.2706i −1.71310 + 0.625806i
\(521\) 15.3735 8.87590i 0.673525 0.388860i −0.123886 0.992296i \(-0.539536\pi\)
0.797411 + 0.603436i \(0.206202\pi\)
\(522\) 4.29259 7.90371i 0.187882 0.345936i
\(523\) −1.56142 + 2.70445i −0.0682759 + 0.118257i −0.898142 0.439705i \(-0.855083\pi\)
0.829867 + 0.557962i \(0.188416\pi\)
\(524\) 1.41185 0.0616770
\(525\) 36.1414 + 25.8302i 1.57734 + 1.12732i
\(526\) −9.72320 + 9.72320i −0.423952 + 0.423952i
\(527\) −1.45070 5.41409i −0.0631936 0.235842i
\(528\) −7.65035 + 3.28631i −0.332939 + 0.143018i
\(529\) −5.51046 9.54440i −0.239585 0.414974i
\(530\) 21.9932 38.0933i 0.955324 1.65467i
\(531\) 11.9569 + 19.5171i 0.518885 + 0.846971i
\(532\) 0.0176054 + 0.840416i 0.000763290 + 0.0364366i
\(533\) −1.89978 21.4238i −0.0822888 0.927967i
\(534\) 0.214136 + 1.47749i 0.00926659 + 0.0639375i
\(535\) −64.0604 17.1649i −2.76957 0.742104i
\(536\) −21.0258 + 12.1393i −0.908178 + 0.524337i
\(537\) −1.28601 8.87321i −0.0554956 0.382907i
\(538\) −2.93056 + 2.93056i −0.126346 + 0.126346i
\(539\) 2.26305 10.1245i 0.0974766 0.436091i
\(540\) −6.07811 2.24357i −0.261560 0.0965479i
\(541\) −5.65703 + 1.51580i −0.243215 + 0.0651691i −0.378367 0.925656i \(-0.623514\pi\)
0.135152 + 0.990825i \(0.456848\pi\)
\(542\) −7.44098 + 4.29605i −0.319617 + 0.184531i
\(543\) −1.71339 + 4.29390i −0.0735286 + 0.184269i
\(544\) −3.13152 + 0.839089i −0.134263 + 0.0359756i
\(545\) −31.8263 −1.36329
\(546\) 0.181298 21.3814i 0.00775883 0.915041i
\(547\) 1.31098 0.0560535 0.0280268 0.999607i \(-0.491078\pi\)
0.0280268 + 0.999607i \(0.491078\pi\)
\(548\) −6.09077 + 1.63202i −0.260185 + 0.0697163i
\(549\) −32.1288 + 9.51283i −1.37123 + 0.405997i
\(550\) 16.1013 9.29607i 0.686560 0.396386i
\(551\) −2.18573 + 0.585665i −0.0931153 + 0.0249502i
\(552\) −3.57499 + 30.1895i −0.152162 + 1.28495i
\(553\) −40.3339 + 11.7182i −1.71517 + 0.498307i
\(554\) 21.2829 21.2829i 0.904226 0.904226i
\(555\) 59.4739 8.61968i 2.52453 0.365885i
\(556\) −5.14891 + 2.97272i −0.218362 + 0.126072i
\(557\) −4.16840 1.11692i −0.176621 0.0473254i 0.169425 0.985543i \(-0.445809\pi\)
−0.346045 + 0.938218i \(0.612476\pi\)
\(558\) 8.86373 + 8.41338i 0.375232 + 0.356167i
\(559\) −15.6495 + 18.6950i −0.661902 + 0.790715i
\(560\) −28.1385 + 17.0413i −1.18907 + 0.720127i
\(561\) −0.537511 + 4.53908i −0.0226937 + 0.191640i
\(562\) 7.60457 13.1715i 0.320779 0.555606i
\(563\) −17.4211 30.1742i −0.734211 1.27169i −0.955069 0.296384i \(-0.904219\pi\)
0.220858 0.975306i \(-0.429114\pi\)
\(564\) −0.730739 1.70112i −0.0307697 0.0716302i
\(565\) −8.34045 31.1270i −0.350886 1.30952i
\(566\) −17.9022 + 17.9022i −0.752486 + 0.752486i
\(567\) 15.5634 18.0217i 0.653600 0.756840i
\(568\) 13.8306 0.580319
\(569\) −23.0336 + 39.8954i −0.965620 + 1.67250i −0.257678 + 0.966231i \(0.582957\pi\)
−0.707941 + 0.706271i \(0.750376\pi\)
\(570\) −3.31238 7.71104i −0.138740 0.322980i
\(571\) −12.9813 + 7.49477i −0.543252 + 0.313647i −0.746396 0.665502i \(-0.768217\pi\)
0.203144 + 0.979149i \(0.434884\pi\)
\(572\) 1.57616 + 0.732717i 0.0659028 + 0.0306365i
\(573\) −4.91673 6.23761i −0.205400 0.260580i
\(574\) −5.69821 19.6132i −0.237839 0.818641i
\(575\) 56.5419i 2.35796i
\(576\) 18.2646 19.2423i 0.761026 0.801763i
\(577\) 18.6297 + 4.99180i 0.775563 + 0.207812i 0.624828 0.780763i \(-0.285169\pi\)
0.150735 + 0.988574i \(0.451836\pi\)
\(578\) −4.63202 + 17.2869i −0.192667 + 0.719042i
\(579\) 7.37610 9.87657i 0.306540 0.410456i
\(580\) 2.04257 + 2.04257i 0.0848131 + 0.0848131i
\(581\) −0.159979 7.63681i −0.00663705 0.316828i
\(582\) 9.27740 7.31281i 0.384560 0.303126i
\(583\) −12.6936 + 3.40123i −0.525713 + 0.140864i
\(584\) −8.69897 15.0671i −0.359966 0.623480i
\(585\) −15.2371 38.5618i −0.629977 1.59434i
\(586\) 2.84345 4.92500i 0.117462 0.203450i
\(587\) 27.9851 + 27.9851i 1.15507 + 1.15507i 0.985522 + 0.169548i \(0.0542306\pi\)
0.169548 + 0.985522i \(0.445769\pi\)
\(588\) 0.728628 + 3.87590i 0.0300481 + 0.159839i
\(589\) 3.07465i 0.126689i
\(590\) 36.5578 9.79563i 1.50506 0.403280i
\(591\) 10.6372 + 24.7628i 0.437556 + 1.01861i
\(592\) −7.59871 + 28.3588i −0.312305 + 1.16554i
\(593\) 1.21118 + 4.52020i 0.0497374 + 0.185622i 0.986325 0.164810i \(-0.0527012\pi\)
−0.936588 + 0.350433i \(0.886035\pi\)
\(594\) −4.17067 9.05115i −0.171125 0.371373i
\(595\) 0.378220 + 18.0548i 0.0155055 + 0.740175i
\(596\) 1.57925 1.57925i 0.0646888 0.0646888i
\(597\) −15.3384 + 2.22302i −0.627758 + 0.0909823i
\(598\) −22.2752 + 15.6364i −0.910901 + 0.639421i
\(599\) −1.70959 + 0.987035i −0.0698521 + 0.0403291i −0.534519 0.845156i \(-0.679507\pi\)
0.464667 + 0.885485i \(0.346174\pi\)
\(600\) −30.2326 + 40.4814i −1.23424 + 1.65265i
\(601\) 22.1442 0.903281 0.451641 0.892200i \(-0.350839\pi\)
0.451641 + 0.892200i \(0.350839\pi\)
\(602\) −11.1536 + 20.2884i −0.454587 + 0.826894i
\(603\) −12.6444 20.6393i −0.514920 0.840498i
\(604\) 0.302119 + 1.12752i 0.0122930 + 0.0458783i
\(605\) 32.5964 + 8.73419i 1.32523 + 0.355095i
\(606\) 8.68916 + 20.2279i 0.352973 + 0.821702i
\(607\) 3.46982 6.00991i 0.140836 0.243935i −0.786976 0.616984i \(-0.788354\pi\)
0.927812 + 0.373049i \(0.121688\pi\)
\(608\) −1.77839 −0.0721230
\(609\) −9.66462 + 4.39356i −0.391630 + 0.178036i
\(610\) 55.4066i 2.24335i
\(611\) 4.99473 10.7443i 0.202065 0.434667i
\(612\) −0.493304 1.66610i −0.0199406 0.0673479i
\(613\) 14.1349 + 3.78743i 0.570903 + 0.152973i 0.532711 0.846298i \(-0.321173\pi\)
0.0381921 + 0.999270i \(0.487840\pi\)
\(614\) −20.2013 11.6633i −0.815260 0.470691i
\(615\) −24.5176 31.1042i −0.988645 1.25424i
\(616\) 11.4587 + 2.81451i 0.461684 + 0.113400i
\(617\) 24.6732 + 24.6732i 0.993306 + 0.993306i 0.999978 0.00667207i \(-0.00212380\pi\)
−0.00667207 + 0.999978i \(0.502124\pi\)
\(618\) 20.0911 + 15.0046i 0.808183 + 0.603574i
\(619\) 3.26864 12.1987i 0.131378 0.490309i −0.868609 0.495499i \(-0.834985\pi\)
0.999987 + 0.00519004i \(0.00165205\pi\)
\(620\) −3.39911 + 1.96248i −0.136512 + 0.0788150i
\(621\) −30.1802 2.77862i −1.21109 0.111502i
\(622\) −5.11831 5.11831i −0.205225 0.205225i
\(623\) 0.848948 1.54424i 0.0340124 0.0618685i
\(624\) 20.2477 + 0.595949i 0.810558 + 0.0238570i
\(625\) 10.2510 17.7552i 0.410039 0.710208i
\(626\) 5.31508 19.8361i 0.212433 0.792812i
\(627\) −0.929237 + 2.32875i −0.0371102 + 0.0930012i
\(628\) 4.13051 + 2.38475i 0.164825 + 0.0951618i
\(629\) 11.3964 + 11.3964i 0.454404 + 0.454404i
\(630\) −21.2675 33.1362i −0.847319 1.32018i
\(631\) 4.81881 + 4.81881i 0.191834 + 0.191834i 0.796488 0.604654i \(-0.206689\pi\)
−0.604654 + 0.796488i \(0.706689\pi\)
\(632\) −12.3640 46.1432i −0.491815 1.83548i
\(633\) −12.0987 4.82774i −0.480881 0.191885i
\(634\) −14.4287 + 8.33040i −0.573036 + 0.330842i
\(635\) 12.8207 + 47.8476i 0.508775 + 1.89877i
\(636\) 3.92338 3.09256i 0.155572 0.122628i
\(637\) −15.3757 + 20.0147i −0.609209 + 0.793010i
\(638\) 4.44324i 0.175910i
\(639\) 0.359294 + 13.7838i 0.0142134 + 0.545278i
\(640\) −14.9555 25.9037i −0.591167 1.02393i
\(641\) −4.86631 8.42869i −0.192208 0.332913i 0.753774 0.657134i \(-0.228231\pi\)
−0.945982 + 0.324220i \(0.894898\pi\)
\(642\) 31.0713 + 23.2050i 1.22629 + 0.915827i
\(643\) 9.13194 9.13194i 0.360129 0.360129i −0.503732 0.863860i \(-0.668040\pi\)
0.863860 + 0.503732i \(0.168040\pi\)
\(644\) 3.47434 3.62302i 0.136908 0.142767i
\(645\) −5.27953 + 44.5837i −0.207881 + 1.75548i
\(646\) 1.12537 1.94921i 0.0442773 0.0766905i
\(647\) −12.3473 21.3862i −0.485423 0.840777i 0.514437 0.857528i \(-0.328001\pi\)
−0.999860 + 0.0167510i \(0.994668\pi\)
\(648\) 20.1219 + 18.1265i 0.790463 + 0.712078i
\(649\) −9.79237 5.65363i −0.384384 0.221924i
\(650\) −45.0547 + 3.99529i −1.76719 + 0.156708i
\(651\) −2.36759 14.2295i −0.0927932 0.557700i
\(652\) 4.17164 4.17164i 0.163374 0.163374i
\(653\) 21.5537 + 12.4440i 0.843460 + 0.486972i 0.858439 0.512916i \(-0.171435\pi\)
−0.0149789 + 0.999888i \(0.504768\pi\)
\(654\) 17.2849 + 6.89715i 0.675891 + 0.269700i
\(655\) 16.0711 + 4.30624i 0.627950 + 0.168259i
\(656\) 18.6897 5.00788i 0.729709 0.195525i
\(657\) 14.7901 9.06094i 0.577016 0.353501i
\(658\) 2.68385 10.9268i 0.104627 0.425969i
\(659\) 24.4285i 0.951600i −0.879554 0.475800i \(-0.842159\pi\)
0.879554 0.475800i \(-0.157841\pi\)
\(660\) 3.16760 0.459088i 0.123299 0.0178700i
\(661\) 3.26929 12.2012i 0.127161 0.474570i −0.872747 0.488173i \(-0.837663\pi\)
0.999907 + 0.0136029i \(0.00433007\pi\)
\(662\) −15.6913 27.1781i −0.609859 1.05631i
\(663\) 5.84089 9.46242i 0.226842 0.367490i
\(664\) 8.68770 0.337148
\(665\) −2.36292 + 9.62015i −0.0916301 + 0.373053i
\(666\) −34.1683 8.20739i −1.32399 0.318030i
\(667\) 11.7023 + 6.75634i 0.453116 + 0.261606i
\(668\) −0.934209 + 3.48651i −0.0361456 + 0.134897i
\(669\) 3.33467 1.43245i 0.128926 0.0553817i
\(670\) −38.6598 + 10.3589i −1.49356 + 0.400198i
\(671\) 11.7049 11.7049i 0.451862 0.451862i
\(672\) −8.23040 + 1.36942i −0.317494 + 0.0528265i
\(673\) 32.5521i 1.25479i −0.778700 0.627396i \(-0.784121\pi\)
0.778700 0.627396i \(-0.215879\pi\)
\(674\) −0.956335 3.56909i −0.0368367 0.137476i
\(675\) −41.1298 29.0787i −1.58308 1.11924i
\(676\) −2.72573 3.23290i −0.104836 0.124342i
\(677\) −27.7679 16.0318i −1.06721 0.616152i −0.139789 0.990181i \(-0.544642\pi\)
−0.927417 + 0.374030i \(0.877976\pi\)
\(678\) −2.21591 + 18.7126i −0.0851015 + 0.718652i
\(679\) −13.9406 + 0.292034i −0.534993 + 0.0112072i
\(680\) −20.5393 −0.787646
\(681\) −6.57014 + 8.79739i −0.251768 + 0.337117i
\(682\) −5.83158 1.56257i −0.223303 0.0598338i
\(683\) −25.3970 6.80511i −0.971790 0.260390i −0.262207 0.965012i \(-0.584450\pi\)
−0.709583 + 0.704621i \(0.751117\pi\)
\(684\) −0.0248368 0.952827i −0.000949659 0.0364323i
\(685\) −74.3089 −2.83920
\(686\) −10.6566 + 21.4678i −0.406871 + 0.819644i
\(687\) −0.394551 0.0467220i −0.0150530 0.00178256i
\(688\) −18.9948 10.9666i −0.724169 0.418099i
\(689\) 31.4914 + 5.51452i 1.19973 + 0.210087i
\(690\) −18.5735 + 46.5468i −0.707081 + 1.77201i
\(691\) 1.39650 + 5.21180i 0.0531252 + 0.198266i 0.987388 0.158319i \(-0.0506075\pi\)
−0.934263 + 0.356585i \(0.883941\pi\)
\(692\) 6.26805i 0.238276i
\(693\) −2.50731 + 11.4930i −0.0952447 + 0.436584i
\(694\) 26.3889 26.3889i 1.00171 1.00171i
\(695\) −67.6770 + 18.1340i −2.56713 + 0.687862i
\(696\) −4.76574 11.0944i −0.180645 0.420532i
\(697\) 2.74911 10.2598i 0.104130 0.388619i
\(698\) −5.80880 3.35371i −0.219866 0.126940i
\(699\) 9.39542 7.40584i 0.355367 0.280115i
\(700\) 8.01136 2.32753i 0.302801 0.0879723i
\(701\) 34.6806 1.30987 0.654935 0.755685i \(-0.272696\pi\)
0.654935 + 0.755685i \(0.272696\pi\)
\(702\) −0.0815567 + 24.2450i −0.00307816 + 0.915069i
\(703\) 4.42045 + 7.65644i 0.166720 + 0.288768i
\(704\) −3.39218 + 12.6598i −0.127848 + 0.477134i
\(705\) −3.12947 21.5927i −0.117863 0.813227i
\(706\) 33.8065i 1.27232i
\(707\) 6.19850 25.2359i 0.233119 0.949095i
\(708\) 4.26864 + 0.505485i 0.160425 + 0.0189973i
\(709\) 14.4578 3.87395i 0.542974 0.145489i 0.0231010 0.999733i \(-0.492646\pi\)
0.519873 + 0.854244i \(0.325979\pi\)
\(710\) 22.0231 + 5.90107i 0.826512 + 0.221463i
\(711\) 45.6658 13.5209i 1.71260 0.507073i
\(712\) 1.73574 + 1.00213i 0.0650497 + 0.0375564i
\(713\) −12.9828 + 12.9828i −0.486210 + 0.486210i
\(714\) 3.70729 9.88754i 0.138742 0.370032i
\(715\) 15.7066 + 13.1479i 0.587395 + 0.491704i
\(716\) −1.45821 0.841899i −0.0544959 0.0314632i
\(717\) 11.5446 + 26.8752i 0.431140 + 1.00367i
\(718\) −14.9677 25.9249i −0.558591 0.967507i
\(719\) −13.5897 + 23.5381i −0.506812 + 0.877824i 0.493157 + 0.869940i \(0.335843\pi\)
−0.999969 + 0.00788373i \(0.997491\pi\)
\(720\) 31.8067 19.4860i 1.18537 0.726199i
\(721\) −8.25777 28.4233i −0.307536 1.05854i
\(722\) −16.5134 + 16.5134i −0.614565 + 0.614565i
\(723\) 18.7775 25.1430i 0.698342 0.935077i
\(724\) 0.434111 + 0.751902i 0.0161336 + 0.0279442i
\(725\) 11.2289 + 19.4490i 0.417030 + 0.722317i
\(726\) −15.8103 11.8076i −0.586776 0.438221i
\(727\) 19.6171i 0.727559i 0.931485 + 0.363780i \(0.118514\pi\)
−0.931485 + 0.363780i \(0.881486\pi\)
\(728\) −22.3926 17.9606i −0.829925 0.665666i
\(729\) −17.5425 + 20.5247i −0.649720 + 0.760173i
\(730\) −7.42314 27.7035i −0.274743 1.02535i
\(731\) −10.4273 + 6.02022i −0.385668 + 0.222666i
\(732\) −2.33216 + 5.84459i −0.0861991 + 0.216022i
\(733\) −9.35544 34.9150i −0.345551 1.28961i −0.891967 0.452100i \(-0.850675\pi\)
0.546416 0.837514i \(-0.315992\pi\)
\(734\) 13.6557 + 13.6557i 0.504042 + 0.504042i
\(735\) −3.52778 + 46.3417i −0.130124 + 1.70934i
\(736\) 7.50929 + 7.50929i 0.276796 + 0.276796i
\(737\) 10.3554 + 5.97870i 0.381447 + 0.220228i
\(738\) 6.57483 + 22.2060i 0.242023 + 0.817414i
\(739\) −1.84955 + 6.90263i −0.0680369 + 0.253917i −0.991564 0.129615i \(-0.958626\pi\)
0.923527 + 0.383532i \(0.125293\pi\)
\(740\) 5.64294 9.77385i 0.207438 0.359294i
\(741\) 4.43825 4.18446i 0.163043 0.153720i
\(742\) 30.3532 0.635851i 1.11430 0.0233428i
\(743\) −4.27421 4.27421i −0.156806 0.156806i 0.624344 0.781150i \(-0.285366\pi\)
−0.781150 + 0.624344i \(0.785366\pi\)
\(744\) 16.2369 2.35325i 0.595275 0.0862744i
\(745\) 22.7935 13.1598i 0.835088 0.482138i
\(746\) −10.1193 + 37.7657i −0.370493 + 1.38270i
\(747\) 0.225691 + 8.65829i 0.00825759 + 0.316790i
\(748\) 0.606976 + 0.606976i 0.0221933 + 0.0221933i
\(749\) −12.7708 43.9572i −0.466636 1.60616i
\(750\) −31.6736 + 24.9664i −1.15656 + 0.911644i
\(751\) 16.4809 + 9.51527i 0.601398 + 0.347217i 0.769591 0.638537i \(-0.220460\pi\)
−0.168193 + 0.985754i \(0.553793\pi\)
\(752\) 10.2960 + 2.75880i 0.375455 + 0.100603i
\(753\) 43.5535 + 17.3791i 1.58718 + 0.633329i
\(754\) 4.55680 9.80224i 0.165949 0.356977i
\(755\) 13.7561i 0.500635i
\(756\) −0.848656 4.39058i −0.0308653 0.159684i
\(757\) −0.926509 −0.0336745 −0.0168373 0.999858i \(-0.505360\pi\)
−0.0168373 + 0.999858i \(0.505360\pi\)
\(758\) 14.0802 24.3876i 0.511416 0.885798i
\(759\) 13.7569 5.90948i 0.499346 0.214500i
\(760\) −10.8829 2.91606i −0.394763 0.105776i
\(761\) −0.157093 0.586277i −0.00569460 0.0212525i 0.963020 0.269430i \(-0.0868352\pi\)
−0.968715 + 0.248177i \(0.920169\pi\)
\(762\) 3.40624 28.7645i 0.123395 1.04203i
\(763\) −11.3794 18.7896i −0.411962 0.680229i
\(764\) −1.49158 −0.0539636
\(765\) −0.533574 20.4698i −0.0192914 0.740086i
\(766\) −20.4293 + 11.7949i −0.738142 + 0.426166i
\(767\) 15.8048 + 22.5151i 0.570679 + 0.812974i
\(768\) −1.88537 13.0086i −0.0680323 0.469408i
\(769\) −10.9430 + 10.9430i −0.394614 + 0.394614i −0.876328 0.481714i \(-0.840014\pi\)
0.481714 + 0.876328i \(0.340014\pi\)
\(770\) 17.0453 + 9.37072i 0.614271 + 0.337697i
\(771\) 9.78183 7.71043i 0.352284 0.277684i
\(772\) −0.599165 2.23611i −0.0215644 0.0804795i
\(773\) −6.7