Properties

Label 91.2.ba.a.45.3
Level $91$
Weight $2$
Character 91.45
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 45.3
Character \(\chi\) \(=\) 91.45
Dual form 91.2.ba.a.89.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.270646 + 0.270646i) q^{2} +(0.792292 - 0.457430i) q^{3} +1.85350i q^{4} +(0.959617 - 3.58134i) q^{5} +(-0.0906291 + 0.338232i) q^{6} +(1.30385 + 2.30217i) q^{7} +(-1.04293 - 1.04293i) q^{8} +(-1.08152 + 1.87324i) q^{9} +O(q^{10})\) \(q+(-0.270646 + 0.270646i) q^{2} +(0.792292 - 0.457430i) q^{3} +1.85350i q^{4} +(0.959617 - 3.58134i) q^{5} +(-0.0906291 + 0.338232i) q^{6} +(1.30385 + 2.30217i) q^{7} +(-1.04293 - 1.04293i) q^{8} +(-1.08152 + 1.87324i) q^{9} +(0.709559 + 1.22899i) q^{10} +(0.0226729 - 0.0846164i) q^{11} +(0.847848 + 1.46852i) q^{12} +(1.63590 - 3.21307i) q^{13} +(-0.975954 - 0.270190i) q^{14} +(-0.877916 - 3.27643i) q^{15} -3.14247 q^{16} -5.89043 q^{17} +(-0.214277 - 0.799692i) q^{18} +(-3.58643 + 0.960980i) q^{19} +(6.63802 + 1.77865i) q^{20} +(2.08611 + 1.22757i) q^{21} +(0.0167648 + 0.0290374i) q^{22} -0.446373i q^{23} +(-1.30338 - 0.349239i) q^{24} +(-7.57501 - 4.37343i) q^{25} +(0.426856 + 1.31235i) q^{26} +4.72345i q^{27} +(-4.26707 + 2.41669i) q^{28} +(0.706429 - 1.22357i) q^{29} +(1.12436 + 0.649147i) q^{30} +(-1.94183 + 0.520311i) q^{31} +(2.93637 - 2.93637i) q^{32} +(-0.0207425 - 0.0774122i) q^{33} +(1.59422 - 1.59422i) q^{34} +(9.49604 - 2.46033i) q^{35} +(-3.47205 - 2.00459i) q^{36} +(1.87469 + 1.87469i) q^{37} +(0.710566 - 1.23074i) q^{38} +(-0.173647 - 3.29400i) q^{39} +(-4.73592 + 2.73428i) q^{40} +(3.00264 - 0.804556i) q^{41} +(-0.896834 + 0.232361i) q^{42} +(8.64788 - 4.99286i) q^{43} +(0.156837 + 0.0420243i) q^{44} +(5.67087 + 5.67087i) q^{45} +(0.120809 + 0.120809i) q^{46} +(8.84037 + 2.36877i) q^{47} +(-2.48976 + 1.43746i) q^{48} +(-3.59995 + 6.00336i) q^{49} +(3.23380 - 0.866493i) q^{50} +(-4.66694 + 2.69446i) q^{51} +(5.95544 + 3.03214i) q^{52} +(-6.28118 + 10.8793i) q^{53} +(-1.27838 - 1.27838i) q^{54} +(-0.281283 - 0.162399i) q^{55} +(1.04118 - 3.76084i) q^{56} +(-2.40192 + 2.40192i) q^{57} +(0.139962 + 0.522347i) q^{58} +(5.05813 - 5.05813i) q^{59} +(6.07286 - 1.62722i) q^{60} +(0.110587 + 0.0638473i) q^{61} +(0.384727 - 0.666367i) q^{62} +(-5.72264 - 0.0474052i) q^{63} -4.69551i q^{64} +(-9.93727 - 8.94203i) q^{65} +(0.0265652 + 0.0153374i) q^{66} +(9.61759 + 2.57703i) q^{67} -10.9179i q^{68} +(-0.204185 - 0.353658i) q^{69} +(-1.90419 + 3.23594i) q^{70} +(-9.83277 - 2.63468i) q^{71} +(3.08161 - 0.825716i) q^{72} +(-2.37094 - 8.84847i) q^{73} -1.01475 q^{74} -8.00216 q^{75} +(-1.78118 - 6.64744i) q^{76} +(0.224363 - 0.0581303i) q^{77} +(0.938505 + 0.844511i) q^{78} +(1.75744 + 3.04398i) q^{79} +(-3.01557 + 11.2543i) q^{80} +(-1.08390 - 1.87736i) q^{81} +(-0.594903 + 1.03040i) q^{82} +(-2.17980 - 2.17980i) q^{83} +(-2.27530 + 3.86661i) q^{84} +(-5.65256 + 21.0956i) q^{85} +(-0.989217 + 3.69181i) q^{86} -1.29257i q^{87} +(-0.111896 + 0.0646030i) q^{88} +(1.19449 - 1.19449i) q^{89} -3.06959 q^{90} +(9.53000 - 0.423256i) q^{91} +0.827354 q^{92} +(-1.30049 + 1.30049i) q^{93} +(-3.03371 + 1.75151i) q^{94} +13.7664i q^{95} +(0.983278 - 3.66964i) q^{96} +(-0.452103 + 1.68727i) q^{97} +(-0.650474 - 2.59910i) q^{98} +(0.133986 + 0.133986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.270646 + 0.270646i −0.191376 + 0.191376i −0.796290 0.604915i \(-0.793207\pi\)
0.604915 + 0.796290i \(0.293207\pi\)
\(3\) 0.792292 0.457430i 0.457430 0.264097i −0.253533 0.967327i \(-0.581593\pi\)
0.710963 + 0.703229i \(0.248259\pi\)
\(4\) 1.85350i 0.926751i
\(5\) 0.959617 3.58134i 0.429154 1.60162i −0.325528 0.945533i \(-0.605542\pi\)
0.754681 0.656091i \(-0.227791\pi\)
\(6\) −0.0906291 + 0.338232i −0.0369992 + 0.138083i
\(7\) 1.30385 + 2.30217i 0.492809 + 0.870137i
\(8\) −1.04293 1.04293i −0.368733 0.368733i
\(9\) −1.08152 + 1.87324i −0.360505 + 0.624413i
\(10\) 0.709559 + 1.22899i 0.224382 + 0.388641i
\(11\) 0.0226729 0.0846164i 0.00683614 0.0255128i −0.962424 0.271553i \(-0.912463\pi\)
0.969260 + 0.246040i \(0.0791295\pi\)
\(12\) 0.847848 + 1.46852i 0.244753 + 0.423924i
\(13\) 1.63590 3.21307i 0.453716 0.891146i
\(14\) −0.975954 0.270190i −0.260835 0.0722114i
\(15\) −0.877916 3.27643i −0.226677 0.845970i
\(16\) −3.14247 −0.785618
\(17\) −5.89043 −1.42864 −0.714319 0.699820i \(-0.753264\pi\)
−0.714319 + 0.699820i \(0.753264\pi\)
\(18\) −0.214277 0.799692i −0.0505055 0.188489i
\(19\) −3.58643 + 0.960980i −0.822782 + 0.220464i −0.645563 0.763707i \(-0.723377\pi\)
−0.177220 + 0.984171i \(0.556710\pi\)
\(20\) 6.63802 + 1.77865i 1.48431 + 0.397719i
\(21\) 2.08611 + 1.22757i 0.455227 + 0.267878i
\(22\) 0.0167648 + 0.0290374i 0.00357426 + 0.00619080i
\(23\) 0.446373i 0.0930753i −0.998917 0.0465377i \(-0.985181\pi\)
0.998917 0.0465377i \(-0.0148187\pi\)
\(24\) −1.30338 0.349239i −0.266051 0.0712882i
\(25\) −7.57501 4.37343i −1.51500 0.874686i
\(26\) 0.426856 + 1.31235i 0.0837133 + 0.257374i
\(27\) 4.72345i 0.909029i
\(28\) −4.26707 + 2.41669i −0.806401 + 0.456711i
\(29\) 0.706429 1.22357i 0.131181 0.227212i −0.792951 0.609285i \(-0.791457\pi\)
0.924132 + 0.382073i \(0.124790\pi\)
\(30\) 1.12436 + 0.649147i 0.205278 + 0.118518i
\(31\) −1.94183 + 0.520311i −0.348762 + 0.0934505i −0.428947 0.903329i \(-0.641115\pi\)
0.0801853 + 0.996780i \(0.474449\pi\)
\(32\) 2.93637 2.93637i 0.519081 0.519081i
\(33\) −0.0207425 0.0774122i −0.00361081 0.0134757i
\(34\) 1.59422 1.59422i 0.273406 0.273406i
\(35\) 9.49604 2.46033i 1.60512 0.415872i
\(36\) −3.47205 2.00459i −0.578675 0.334098i
\(37\) 1.87469 + 1.87469i 0.308197 + 0.308197i 0.844210 0.536013i \(-0.180070\pi\)
−0.536013 + 0.844210i \(0.680070\pi\)
\(38\) 0.710566 1.23074i 0.115269 0.199652i
\(39\) −0.173647 3.29400i −0.0278058 0.527463i
\(40\) −4.73592 + 2.73428i −0.748815 + 0.432328i
\(41\) 3.00264 0.804556i 0.468934 0.125651i −0.0166112 0.999862i \(-0.505288\pi\)
0.485545 + 0.874211i \(0.338621\pi\)
\(42\) −0.896834 + 0.232361i −0.138385 + 0.0358541i
\(43\) 8.64788 4.99286i 1.31879 0.761404i 0.335256 0.942127i \(-0.391177\pi\)
0.983534 + 0.180724i \(0.0578439\pi\)
\(44\) 0.156837 + 0.0420243i 0.0236440 + 0.00633539i
\(45\) 5.67087 + 5.67087i 0.845363 + 0.845363i
\(46\) 0.120809 + 0.120809i 0.0178123 + 0.0178123i
\(47\) 8.84037 + 2.36877i 1.28950 + 0.345521i 0.837471 0.546482i \(-0.184033\pi\)
0.452030 + 0.892003i \(0.350700\pi\)
\(48\) −2.48976 + 1.43746i −0.359365 + 0.207480i
\(49\) −3.59995 + 6.00336i −0.514278 + 0.857623i
\(50\) 3.23380 0.866493i 0.457328 0.122541i
\(51\) −4.66694 + 2.69446i −0.653503 + 0.377300i
\(52\) 5.95544 + 3.03214i 0.825870 + 0.420482i
\(53\) −6.28118 + 10.8793i −0.862786 + 1.49439i 0.00644326 + 0.999979i \(0.497949\pi\)
−0.869229 + 0.494410i \(0.835384\pi\)
\(54\) −1.27838 1.27838i −0.173966 0.173966i
\(55\) −0.281283 0.162399i −0.0379282 0.0218978i
\(56\) 1.04118 3.76084i 0.139133 0.502563i
\(57\) −2.40192 + 2.40192i −0.318142 + 0.318142i
\(58\) 0.139962 + 0.522347i 0.0183780 + 0.0685875i
\(59\) 5.05813 5.05813i 0.658513 0.658513i −0.296515 0.955028i \(-0.595825\pi\)
0.955028 + 0.296515i \(0.0958246\pi\)
\(60\) 6.07286 1.62722i 0.784003 0.210073i
\(61\) 0.110587 + 0.0638473i 0.0141592 + 0.00817481i 0.507063 0.861909i \(-0.330731\pi\)
−0.492904 + 0.870084i \(0.664065\pi\)
\(62\) 0.384727 0.666367i 0.0488604 0.0846287i
\(63\) −5.72264 0.0474052i −0.720985 0.00597249i
\(64\) 4.69551i 0.586939i
\(65\) −9.93727 8.94203i −1.23257 1.10912i
\(66\) 0.0265652 + 0.0153374i 0.00326995 + 0.00188791i
\(67\) 9.61759 + 2.57703i 1.17498 + 0.314834i 0.792932 0.609310i \(-0.208554\pi\)
0.382044 + 0.924144i \(0.375220\pi\)
\(68\) 10.9179i 1.32399i
\(69\) −0.204185 0.353658i −0.0245810 0.0425755i
\(70\) −1.90419 + 3.23594i −0.227594 + 0.386769i
\(71\) −9.83277 2.63468i −1.16694 0.312679i −0.377203 0.926131i \(-0.623114\pi\)
−0.789732 + 0.613451i \(0.789781\pi\)
\(72\) 3.08161 0.825716i 0.363172 0.0973116i
\(73\) −2.37094 8.84847i −0.277498 1.03563i −0.954149 0.299332i \(-0.903236\pi\)
0.676652 0.736303i \(-0.263430\pi\)
\(74\) −1.01475 −0.117963
\(75\) −8.00216 −0.924010
\(76\) −1.78118 6.64744i −0.204315 0.762514i
\(77\) 0.224363 0.0581303i 0.0255686 0.00662457i
\(78\) 0.938505 + 0.844511i 0.106265 + 0.0956221i
\(79\) 1.75744 + 3.04398i 0.197728 + 0.342474i 0.947791 0.318891i \(-0.103311\pi\)
−0.750064 + 0.661366i \(0.769977\pi\)
\(80\) −3.01557 + 11.2543i −0.337151 + 1.25826i
\(81\) −1.08390 1.87736i −0.120433 0.208596i
\(82\) −0.594903 + 1.03040i −0.0656961 + 0.113789i
\(83\) −2.17980 2.17980i −0.239264 0.239264i 0.577281 0.816545i \(-0.304114\pi\)
−0.816545 + 0.577281i \(0.804114\pi\)
\(84\) −2.27530 + 3.86661i −0.248256 + 0.421882i
\(85\) −5.65256 + 21.0956i −0.613106 + 2.28814i
\(86\) −0.989217 + 3.69181i −0.106670 + 0.398098i
\(87\) 1.29257i 0.138578i
\(88\) −0.111896 + 0.0646030i −0.0119281 + 0.00688670i
\(89\) 1.19449 1.19449i 0.126616 0.126616i −0.640959 0.767575i \(-0.721463\pi\)
0.767575 + 0.640959i \(0.221463\pi\)
\(90\) −3.06959 −0.323564
\(91\) 9.53000 0.423256i 0.999015 0.0443693i
\(92\) 0.827354 0.0862576
\(93\) −1.30049 + 1.30049i −0.134854 + 0.134854i
\(94\) −3.03371 + 1.75151i −0.312903 + 0.180655i
\(95\) 13.7664i 1.41240i
\(96\) 0.983278 3.66964i 0.100355 0.374531i
\(97\) −0.452103 + 1.68727i −0.0459041 + 0.171317i −0.985072 0.172141i \(-0.944932\pi\)
0.939168 + 0.343458i \(0.111598\pi\)
\(98\) −0.650474 2.59910i −0.0657078 0.262548i
\(99\) 0.133986 + 0.133986i 0.0134661 + 0.0134661i
\(100\) 8.10616 14.0403i 0.810616 1.40403i
\(101\) −3.41120 5.90838i −0.339427 0.587905i 0.644898 0.764269i \(-0.276900\pi\)
−0.984325 + 0.176363i \(0.943567\pi\)
\(102\) 0.533844 1.99233i 0.0528584 0.197270i
\(103\) 5.00029 + 8.66076i 0.492693 + 0.853370i 0.999965 0.00841640i \(-0.00267906\pi\)
−0.507271 + 0.861787i \(0.669346\pi\)
\(104\) −5.05716 + 1.64489i −0.495895 + 0.161295i
\(105\) 6.39821 6.29308i 0.624402 0.614142i
\(106\) −1.24447 4.64442i −0.120873 0.451106i
\(107\) −0.0598871 −0.00578950 −0.00289475 0.999996i \(-0.500921\pi\)
−0.00289475 + 0.999996i \(0.500921\pi\)
\(108\) −8.75493 −0.842443
\(109\) −4.25671 15.8862i −0.407719 1.52163i −0.798986 0.601350i \(-0.794630\pi\)
0.391267 0.920277i \(-0.372037\pi\)
\(110\) 0.120081 0.0321755i 0.0114492 0.00306781i
\(111\) 2.34284 + 0.627762i 0.222372 + 0.0595845i
\(112\) −4.09731 7.23450i −0.387160 0.683596i
\(113\) 2.74673 + 4.75748i 0.258391 + 0.447546i 0.965811 0.259247i \(-0.0834744\pi\)
−0.707420 + 0.706793i \(0.750141\pi\)
\(114\) 1.30014i 0.121769i
\(115\) −1.59862 0.428348i −0.149072 0.0399436i
\(116\) 2.26789 + 1.30937i 0.210569 + 0.121572i
\(117\) 4.24961 + 6.53941i 0.392876 + 0.604569i
\(118\) 2.73793i 0.252047i
\(119\) −7.68024 13.5608i −0.704046 1.24311i
\(120\) −2.50149 + 4.33271i −0.228354 + 0.395520i
\(121\) 9.51963 + 5.49616i 0.865421 + 0.499651i
\(122\) −0.0472098 + 0.0126498i −0.00427418 + 0.00114526i
\(123\) 2.01094 2.01094i 0.181321 0.181321i
\(124\) −0.964397 3.59918i −0.0866054 0.323216i
\(125\) −9.82324 + 9.82324i −0.878617 + 0.878617i
\(126\) 1.56164 1.53598i 0.139122 0.136836i
\(127\) 14.7405 + 8.51045i 1.30801 + 0.755180i 0.981764 0.190104i \(-0.0608826\pi\)
0.326247 + 0.945285i \(0.394216\pi\)
\(128\) 7.14355 + 7.14355i 0.631407 + 0.631407i
\(129\) 4.56777 7.91161i 0.402170 0.696578i
\(130\) 5.10960 0.269359i 0.448142 0.0236243i
\(131\) 2.35567 1.36005i 0.205816 0.118828i −0.393549 0.919303i \(-0.628753\pi\)
0.599365 + 0.800475i \(0.295420\pi\)
\(132\) 0.143484 0.0384463i 0.0124886 0.00334632i
\(133\) −6.88850 7.00358i −0.597309 0.607287i
\(134\) −3.30042 + 1.90550i −0.285113 + 0.164610i
\(135\) 16.9163 + 4.53271i 1.45592 + 0.390113i
\(136\) 6.14333 + 6.14333i 0.526786 + 0.526786i
\(137\) −3.04603 3.04603i −0.260240 0.260240i 0.564911 0.825152i \(-0.308910\pi\)
−0.825152 + 0.564911i \(0.808910\pi\)
\(138\) 0.150978 + 0.0404544i 0.0128521 + 0.00344371i
\(139\) −12.1251 + 7.00040i −1.02843 + 0.593766i −0.916535 0.399953i \(-0.869026\pi\)
−0.111898 + 0.993720i \(0.535693\pi\)
\(140\) 4.56023 + 17.6009i 0.385410 + 1.48755i
\(141\) 8.08771 2.16709i 0.681108 0.182502i
\(142\) 3.37426 1.94813i 0.283162 0.163484i
\(143\) −0.234788 0.211273i −0.0196340 0.0176676i
\(144\) 3.39863 5.88660i 0.283219 0.490550i
\(145\) −3.70412 3.70412i −0.307611 0.307611i
\(146\) 3.03649 + 1.75312i 0.251301 + 0.145089i
\(147\) −0.106092 + 6.40314i −0.00875031 + 0.528122i
\(148\) −3.47473 + 3.47473i −0.285621 + 0.285621i
\(149\) −2.37346 8.85786i −0.194441 0.725664i −0.992411 0.122967i \(-0.960759\pi\)
0.797970 0.602698i \(-0.205908\pi\)
\(150\) 2.16575 2.16575i 0.176833 0.176833i
\(151\) −7.33161 + 1.96450i −0.596638 + 0.159869i −0.544485 0.838770i \(-0.683275\pi\)
−0.0521530 + 0.998639i \(0.516608\pi\)
\(152\) 4.74264 + 2.73817i 0.384679 + 0.222095i
\(153\) 6.37059 11.0342i 0.515031 0.892061i
\(154\) −0.0449902 + 0.0764557i −0.00362542 + 0.00616098i
\(155\) 7.45364i 0.598691i
\(156\) 6.10544 0.321856i 0.488826 0.0257691i
\(157\) −0.438021 0.252891i −0.0349578 0.0201829i 0.482419 0.875940i \(-0.339758\pi\)
−0.517377 + 0.855758i \(0.673092\pi\)
\(158\) −1.29948 0.348196i −0.103381 0.0277010i
\(159\) 11.4928i 0.911438i
\(160\) −7.69834 13.3339i −0.608607 1.05414i
\(161\) 1.02763 0.582004i 0.0809883 0.0458684i
\(162\) 0.801452 + 0.214748i 0.0629680 + 0.0168722i
\(163\) −4.28976 + 1.14944i −0.336000 + 0.0900308i −0.422874 0.906188i \(-0.638979\pi\)
0.0868745 + 0.996219i \(0.472312\pi\)
\(164\) 1.49125 + 5.56541i 0.116447 + 0.434585i
\(165\) −0.297144 −0.0231327
\(166\) 1.17991 0.0915785
\(167\) −2.07730 7.75258i −0.160746 0.599913i −0.998545 0.0539330i \(-0.982824\pi\)
0.837798 0.545980i \(-0.183842\pi\)
\(168\) −0.895404 3.45595i −0.0690819 0.266632i
\(169\) −7.64768 10.5125i −0.588283 0.808655i
\(170\) −4.17960 7.23929i −0.320561 0.555228i
\(171\) 2.07863 7.75755i 0.158957 0.593234i
\(172\) 9.25427 + 16.0289i 0.705631 + 1.22219i
\(173\) 0.631547 1.09387i 0.0480157 0.0831656i −0.841019 0.541006i \(-0.818044\pi\)
0.889034 + 0.457841i \(0.151377\pi\)
\(174\) 0.349828 + 0.349828i 0.0265204 + 0.0265204i
\(175\) 0.191697 23.1412i 0.0144909 1.74931i
\(176\) −0.0712489 + 0.265905i −0.00537059 + 0.0200433i
\(177\) 1.69378 6.32126i 0.127312 0.475135i
\(178\) 0.646569i 0.0484624i
\(179\) 1.46377 0.845110i 0.109408 0.0631665i −0.444298 0.895879i \(-0.646547\pi\)
0.553705 + 0.832713i \(0.313213\pi\)
\(180\) −10.5110 + 10.5110i −0.783441 + 0.783441i
\(181\) −8.30825 −0.617547 −0.308774 0.951136i \(-0.599919\pi\)
−0.308774 + 0.951136i \(0.599919\pi\)
\(182\) −2.46470 + 2.69381i −0.182696 + 0.199678i
\(183\) 0.116823 0.00863578
\(184\) −0.465538 + 0.465538i −0.0343199 + 0.0343199i
\(185\) 8.51287 4.91491i 0.625879 0.361351i
\(186\) 0.703943i 0.0516156i
\(187\) −0.133553 + 0.498427i −0.00976637 + 0.0364486i
\(188\) −4.39052 + 16.3856i −0.320211 + 1.19505i
\(189\) −10.8742 + 6.15868i −0.790980 + 0.447978i
\(190\) −3.72581 3.72581i −0.270299 0.270299i
\(191\) −10.3140 + 17.8644i −0.746296 + 1.29262i 0.203290 + 0.979119i \(0.434836\pi\)
−0.949587 + 0.313505i \(0.898497\pi\)
\(192\) −2.14787 3.72022i −0.155009 0.268484i
\(193\) −3.47003 + 12.9503i −0.249779 + 0.932186i 0.721143 + 0.692787i \(0.243617\pi\)
−0.970921 + 0.239400i \(0.923049\pi\)
\(194\) −0.334293 0.579013i −0.0240009 0.0415707i
\(195\) −11.9636 2.53909i −0.856730 0.181828i
\(196\) −11.1272 6.67251i −0.794803 0.476608i
\(197\) 4.28034 + 15.9744i 0.304961 + 1.13813i 0.932979 + 0.359932i \(0.117200\pi\)
−0.628017 + 0.778199i \(0.716133\pi\)
\(198\) −0.0725253 −0.00515415
\(199\) 12.9622 0.918863 0.459432 0.888213i \(-0.348053\pi\)
0.459432 + 0.888213i \(0.348053\pi\)
\(200\) 3.33903 + 12.4614i 0.236105 + 0.881157i
\(201\) 8.79875 2.35762i 0.620616 0.166294i
\(202\) 2.52231 + 0.675850i 0.177469 + 0.0475526i
\(203\) 3.73795 + 0.0309644i 0.262352 + 0.00217327i
\(204\) −4.99419 8.65018i −0.349663 0.605634i
\(205\) 11.5256i 0.804980i
\(206\) −3.69731 0.990691i −0.257604 0.0690247i
\(207\) 0.836164 + 0.482760i 0.0581174 + 0.0335541i
\(208\) −5.14076 + 10.0970i −0.356448 + 0.700100i
\(209\) 0.325259i 0.0224986i
\(210\) −0.0284535 + 3.43485i −0.00196348 + 0.237027i
\(211\) −3.19052 + 5.52614i −0.219644 + 0.380435i −0.954699 0.297572i \(-0.903823\pi\)
0.735055 + 0.678008i \(0.237156\pi\)
\(212\) −20.1648 11.6422i −1.38493 0.799587i
\(213\) −8.99561 + 2.41037i −0.616369 + 0.165156i
\(214\) 0.0162082 0.0162082i 0.00110797 0.00110797i
\(215\) −9.58246 35.7622i −0.653519 2.43896i
\(216\) 4.92625 4.92625i 0.335189 0.335189i
\(217\) −3.72969 3.79200i −0.253188 0.257418i
\(218\) 5.45161 + 3.14749i 0.369229 + 0.213175i
\(219\) −5.92604 5.92604i −0.400444 0.400444i
\(220\) 0.301006 0.521358i 0.0202938 0.0351500i
\(221\) −9.63614 + 18.9264i −0.648197 + 1.27313i
\(222\) −0.803981 + 0.464178i −0.0539596 + 0.0311536i
\(223\) 12.3622 3.31244i 0.827834 0.221817i 0.180065 0.983655i \(-0.442369\pi\)
0.647769 + 0.761837i \(0.275702\pi\)
\(224\) 10.5886 + 2.93142i 0.707480 + 0.195864i
\(225\) 16.3850 9.45986i 1.09233 0.630658i
\(226\) −2.03098 0.544201i −0.135099 0.0361997i
\(227\) −8.38467 8.38467i −0.556510 0.556510i 0.371802 0.928312i \(-0.378740\pi\)
−0.928312 + 0.371802i \(0.878740\pi\)
\(228\) −4.45196 4.45196i −0.294838 0.294838i
\(229\) 15.2594 + 4.08875i 1.00837 + 0.270192i 0.724949 0.688803i \(-0.241863\pi\)
0.283423 + 0.958995i \(0.408530\pi\)
\(230\) 0.548589 0.316728i 0.0361729 0.0208844i
\(231\) 0.151171 0.148687i 0.00994630 0.00978287i
\(232\) −2.01286 + 0.539345i −0.132151 + 0.0354098i
\(233\) 11.6063 6.70088i 0.760352 0.438989i −0.0690703 0.997612i \(-0.522003\pi\)
0.829422 + 0.558623i \(0.188670\pi\)
\(234\) −2.92000 0.619727i −0.190887 0.0405128i
\(235\) 16.9667 29.3873i 1.10679 1.91701i
\(236\) 9.37526 + 9.37526i 0.610277 + 0.610277i
\(237\) 2.78482 + 1.60781i 0.180893 + 0.104439i
\(238\) 5.74879 + 1.59154i 0.372638 + 0.103164i
\(239\) −14.4526 + 14.4526i −0.934861 + 0.934861i −0.998004 0.0631438i \(-0.979887\pi\)
0.0631438 + 0.998004i \(0.479887\pi\)
\(240\) 2.75883 + 10.2961i 0.178081 + 0.664609i
\(241\) 0.721809 0.721809i 0.0464958 0.0464958i −0.683477 0.729972i \(-0.739533\pi\)
0.729972 + 0.683477i \(0.239533\pi\)
\(242\) −4.06396 + 1.08894i −0.261241 + 0.0699994i
\(243\) −13.9894 8.07679i −0.897421 0.518126i
\(244\) −0.118341 + 0.204973i −0.00757601 + 0.0131220i
\(245\) 18.0455 + 18.6536i 1.15289 + 1.19173i
\(246\) 1.08851i 0.0694007i
\(247\) −2.77933 + 13.0955i −0.176844 + 0.833247i
\(248\) 2.56785 + 1.48255i 0.163058 + 0.0941418i
\(249\) −2.72414 0.729932i −0.172635 0.0462575i
\(250\) 5.31724i 0.336292i
\(251\) −5.59470 9.69030i −0.353134 0.611646i 0.633663 0.773609i \(-0.281551\pi\)
−0.986797 + 0.161963i \(0.948217\pi\)
\(252\) 0.0878656 10.6069i 0.00553501 0.668174i
\(253\) −0.0377705 0.0101206i −0.00237461 0.000636275i
\(254\) −6.29278 + 1.68615i −0.394844 + 0.105798i
\(255\) 5.17130 + 19.2996i 0.323839 + 1.20859i
\(256\) 5.52428 0.345267
\(257\) −9.42673 −0.588023 −0.294012 0.955802i \(-0.594990\pi\)
−0.294012 + 0.955802i \(0.594990\pi\)
\(258\) 0.904996 + 3.37749i 0.0563426 + 0.210273i
\(259\) −1.87153 + 6.76015i −0.116291 + 0.420055i
\(260\) 16.5741 18.4187i 1.02788 1.14228i
\(261\) 1.52803 + 2.64662i 0.0945826 + 0.163822i
\(262\) −0.269462 + 1.00564i −0.0166474 + 0.0621289i
\(263\) −6.87360 11.9054i −0.423844 0.734120i 0.572467 0.819928i \(-0.305986\pi\)
−0.996312 + 0.0858074i \(0.972653\pi\)
\(264\) −0.0591027 + 0.102369i −0.00363752 + 0.00630037i
\(265\) 32.9350 + 32.9350i 2.02318 + 2.02318i
\(266\) 3.75983 + 0.0311457i 0.230530 + 0.00190966i
\(267\) 0.399991 1.49279i 0.0244790 0.0913570i
\(268\) −4.77652 + 17.8262i −0.291772 + 1.08891i
\(269\) 23.5848i 1.43799i 0.695015 + 0.718995i \(0.255398\pi\)
−0.695015 + 0.718995i \(0.744602\pi\)
\(270\) −5.80508 + 3.35157i −0.353286 + 0.203970i
\(271\) −6.42801 + 6.42801i −0.390474 + 0.390474i −0.874856 0.484382i \(-0.839044\pi\)
0.484382 + 0.874856i \(0.339044\pi\)
\(272\) 18.5105 1.12236
\(273\) 7.35694 4.69465i 0.445262 0.284133i
\(274\) 1.64879 0.0996072
\(275\) −0.541811 + 0.541811i −0.0326725 + 0.0326725i
\(276\) 0.655506 0.378457i 0.0394568 0.0227804i
\(277\) 12.6627i 0.760828i −0.924816 0.380414i \(-0.875781\pi\)
0.924816 0.380414i \(-0.124219\pi\)
\(278\) 1.38697 5.17622i 0.0831846 0.310449i
\(279\) 1.12545 4.20023i 0.0673788 0.251461i
\(280\) −12.4697 7.33778i −0.745208 0.438516i
\(281\) −23.5896 23.5896i −1.40724 1.40724i −0.773769 0.633468i \(-0.781631\pi\)
−0.633468 0.773769i \(-0.718369\pi\)
\(282\) −1.60239 + 2.77542i −0.0954209 + 0.165274i
\(283\) −11.4194 19.7790i −0.678813 1.17574i −0.975339 0.220713i \(-0.929162\pi\)
0.296526 0.955025i \(-0.404172\pi\)
\(284\) 4.88339 18.2251i 0.289776 1.08146i
\(285\) 6.29716 + 10.9070i 0.373012 + 0.646075i
\(286\) 0.120725 0.00636415i 0.00713860 0.000376320i
\(287\) 5.76722 + 5.86357i 0.340428 + 0.346115i
\(288\) 2.32479 + 8.67624i 0.136990 + 0.511252i
\(289\) 17.6971 1.04101
\(290\) 2.00501 0.117738
\(291\) 0.413611 + 1.54362i 0.0242463 + 0.0904885i
\(292\) 16.4007 4.39454i 0.959776 0.257171i
\(293\) 11.5762 + 3.10184i 0.676290 + 0.181211i 0.580587 0.814198i \(-0.302823\pi\)
0.0957036 + 0.995410i \(0.469490\pi\)
\(294\) −1.70427 1.76170i −0.0993951 0.102744i
\(295\) −13.2610 22.9688i −0.772087 1.33729i
\(296\) 3.91035i 0.227284i
\(297\) 0.399682 + 0.107094i 0.0231919 + 0.00621424i
\(298\) 3.03971 + 1.75498i 0.176086 + 0.101663i
\(299\) −1.43423 0.730221i −0.0829437 0.0422298i
\(300\) 14.8320i 0.856327i
\(301\) 22.7699 + 13.3989i 1.31244 + 0.772302i
\(302\) 1.45259 2.51596i 0.0835870 0.144777i
\(303\) −5.40534 3.12078i −0.310529 0.179284i
\(304\) 11.2702 3.01985i 0.646393 0.173200i
\(305\) 0.334780 0.334780i 0.0191694 0.0191694i
\(306\) 1.26218 + 4.71053i 0.0721542 + 0.269283i
\(307\) −18.9842 + 18.9842i −1.08348 + 1.08348i −0.0873012 + 0.996182i \(0.527824\pi\)
−0.996182 + 0.0873012i \(0.972176\pi\)
\(308\) 0.107745 + 0.415858i 0.00613932 + 0.0236957i
\(309\) 7.92339 + 4.57457i 0.450746 + 0.260238i
\(310\) −2.01730 2.01730i −0.114575 0.114575i
\(311\) −14.8991 + 25.8060i −0.844851 + 1.46333i 0.0408993 + 0.999163i \(0.486978\pi\)
−0.885750 + 0.464162i \(0.846356\pi\)
\(312\) −3.25433 + 3.61653i −0.184240 + 0.204746i
\(313\) 14.1617 8.17629i 0.800469 0.462151i −0.0431661 0.999068i \(-0.513744\pi\)
0.843635 + 0.536917i \(0.180411\pi\)
\(314\) 0.186992 0.0501045i 0.0105526 0.00282756i
\(315\) −5.66132 + 20.4492i −0.318979 + 1.15218i
\(316\) −5.64202 + 3.25742i −0.317388 + 0.183244i
\(317\) −16.4961 4.42013i −0.926516 0.248259i −0.236147 0.971717i \(-0.575885\pi\)
−0.690368 + 0.723458i \(0.742551\pi\)
\(318\) −3.11048 3.11048i −0.174427 0.174427i
\(319\) −0.0875174 0.0875174i −0.00490004 0.00490004i
\(320\) −16.8162 4.50589i −0.940056 0.251887i
\(321\) −0.0474481 + 0.0273942i −0.00264829 + 0.00152899i
\(322\) −0.120606 + 0.435640i −0.00672110 + 0.0242773i
\(323\) 21.1256 5.66058i 1.17546 0.314963i
\(324\) 3.47969 2.00900i 0.193316 0.111611i
\(325\) −26.4441 + 17.1846i −1.46685 + 0.953228i
\(326\) 0.849915 1.47210i 0.0470724 0.0815318i
\(327\) −10.6394 10.6394i −0.588361 0.588361i
\(328\) −3.97066 2.29246i −0.219243 0.126580i
\(329\) 6.07321 + 23.4405i 0.334827 + 1.29232i
\(330\) 0.0804209 0.0804209i 0.00442702 0.00442702i
\(331\) 5.63617 + 21.0345i 0.309792 + 1.15616i 0.928742 + 0.370728i \(0.120892\pi\)
−0.618950 + 0.785430i \(0.712442\pi\)
\(332\) 4.04026 4.04026i 0.221738 0.221738i
\(333\) −5.53924 + 1.48423i −0.303548 + 0.0813355i
\(334\) 2.66042 + 1.53599i 0.145571 + 0.0840457i
\(335\) 18.4584 31.9709i 1.00849 1.74676i
\(336\) −6.55555 3.85760i −0.357634 0.210449i
\(337\) 22.6556i 1.23413i −0.786912 0.617066i \(-0.788321\pi\)
0.786912 0.617066i \(-0.211679\pi\)
\(338\) 4.91498 + 0.775358i 0.267340 + 0.0421739i
\(339\) 4.35243 + 2.51288i 0.236392 + 0.136481i
\(340\) −39.1008 10.4770i −2.12054 0.568196i
\(341\) 0.176107i 0.00953674i
\(342\) 1.53698 + 2.66212i 0.0831101 + 0.143951i
\(343\) −18.5145 0.460196i −0.999691 0.0248483i
\(344\) −14.2264 3.81195i −0.767036 0.205527i
\(345\) −1.46251 + 0.391878i −0.0787389 + 0.0210980i
\(346\) 0.125126 + 0.466978i 0.00672683 + 0.0251049i
\(347\) 11.8708 0.637259 0.318630 0.947879i \(-0.396777\pi\)
0.318630 + 0.947879i \(0.396777\pi\)
\(348\) 2.39578 0.128427
\(349\) −5.38273 20.0886i −0.288131 1.07532i −0.946521 0.322642i \(-0.895429\pi\)
0.658390 0.752677i \(-0.271238\pi\)
\(350\) 6.21120 + 6.31496i 0.332002 + 0.337549i
\(351\) 15.1768 + 7.72709i 0.810078 + 0.412441i
\(352\) −0.181889 0.315041i −0.00969470 0.0167917i
\(353\) 7.23488 27.0009i 0.385074 1.43712i −0.452977 0.891522i \(-0.649638\pi\)
0.838050 0.545593i \(-0.183695\pi\)
\(354\) 1.25241 + 2.16924i 0.0665649 + 0.115294i
\(355\) −18.8714 + 32.6862i −1.00159 + 1.73480i
\(356\) 2.21400 + 2.21400i 0.117342 + 0.117342i
\(357\) −12.2881 7.23091i −0.650355 0.382700i
\(358\) −0.167439 + 0.624890i −0.00884941 + 0.0330265i
\(359\) 4.06106 15.1561i 0.214334 0.799907i −0.772065 0.635543i \(-0.780776\pi\)
0.986400 0.164364i \(-0.0525571\pi\)
\(360\) 11.8287i 0.623426i
\(361\) −4.51552 + 2.60704i −0.237659 + 0.137212i
\(362\) 2.24859 2.24859i 0.118183 0.118183i
\(363\) 10.0564 0.527826
\(364\) 0.784506 + 17.6639i 0.0411193 + 0.925838i
\(365\) −33.9646 −1.77779
\(366\) −0.0316176 + 0.0316176i −0.00165268 + 0.00165268i
\(367\) 4.15012 2.39607i 0.216635 0.125074i −0.387756 0.921762i \(-0.626750\pi\)
0.604391 + 0.796688i \(0.293416\pi\)
\(368\) 1.40272i 0.0731216i
\(369\) −1.74028 + 6.49481i −0.0905953 + 0.338106i
\(370\) −0.973774 + 3.63417i −0.0506241 + 0.188932i
\(371\) −33.2357 0.275318i −1.72551 0.0142938i
\(372\) −2.41046 2.41046i −0.124976 0.124976i
\(373\) −0.941886 + 1.63140i −0.0487690 + 0.0844704i −0.889379 0.457170i \(-0.848863\pi\)
0.840610 + 0.541640i \(0.182196\pi\)
\(374\) −0.0987516 0.171043i −0.00510632 0.00884441i
\(375\) −3.28943 + 12.2763i −0.169865 + 0.633947i
\(376\) −6.74945 11.6904i −0.348076 0.602886i
\(377\) −2.77578 4.27145i −0.142960 0.219991i
\(378\) 1.27623 4.60987i 0.0656423 0.237106i
\(379\) −0.368612 1.37568i −0.0189343 0.0706638i 0.955812 0.293978i \(-0.0949792\pi\)
−0.974747 + 0.223314i \(0.928312\pi\)
\(380\) −25.5160 −1.30894
\(381\) 15.5718 0.797765
\(382\) −2.04348 7.62638i −0.104554 0.390199i
\(383\) 10.5704 2.83233i 0.540122 0.144725i 0.0215638 0.999767i \(-0.493135\pi\)
0.518559 + 0.855042i \(0.326469\pi\)
\(384\) 8.92746 + 2.39211i 0.455578 + 0.122072i
\(385\) 0.00711829 0.859304i 0.000362782 0.0437942i
\(386\) −2.56581 4.44411i −0.130596 0.226199i
\(387\) 21.5994i 1.09796i
\(388\) −3.12736 0.837974i −0.158768 0.0425417i
\(389\) 23.9984 + 13.8555i 1.21677 + 0.702502i 0.964225 0.265084i \(-0.0853995\pi\)
0.252544 + 0.967586i \(0.418733\pi\)
\(390\) 3.92509 2.55070i 0.198755 0.129160i
\(391\) 2.62933i 0.132971i
\(392\) 10.0156 2.50660i 0.505865 0.126603i
\(393\) 1.24425 2.15511i 0.0627643 0.108711i
\(394\) −5.48187 3.16496i −0.276173 0.159448i
\(395\) 12.5880 3.37294i 0.633371 0.169711i
\(396\) −0.248343 + 0.248343i −0.0124797 + 0.0124797i
\(397\) −3.25335 12.1417i −0.163281 0.609373i −0.998253 0.0590806i \(-0.981183\pi\)
0.834972 0.550292i \(-0.185484\pi\)
\(398\) −3.50816 + 3.50816i −0.175848 + 0.175848i
\(399\) −8.66135 2.39787i −0.433610 0.120044i
\(400\) 23.8042 + 13.7434i 1.19021 + 0.687169i
\(401\) −17.4913 17.4913i −0.873475 0.873475i 0.119374 0.992849i \(-0.461911\pi\)
−0.992849 + 0.119374i \(0.961911\pi\)
\(402\) −1.74327 + 3.01943i −0.0869462 + 0.150595i
\(403\) −1.50483 + 7.09040i −0.0749610 + 0.353198i
\(404\) 10.9512 6.32267i 0.544842 0.314565i
\(405\) −7.76359 + 2.08025i −0.385776 + 0.103368i
\(406\) −1.02004 + 1.00328i −0.0506237 + 0.0497919i
\(407\) 0.201134 0.116125i 0.00996983 0.00575609i
\(408\) 7.67746 + 2.05717i 0.380091 + 0.101845i
\(409\) 8.05291 + 8.05291i 0.398191 + 0.398191i 0.877594 0.479404i \(-0.159147\pi\)
−0.479404 + 0.877594i \(0.659147\pi\)
\(410\) 3.11934 + 3.11934i 0.154053 + 0.154053i
\(411\) −3.80670 1.02000i −0.187771 0.0503130i
\(412\) −16.0527 + 9.26805i −0.790861 + 0.456604i
\(413\) 18.2397 + 5.04962i 0.897518 + 0.248476i
\(414\) −0.356961 + 0.0956475i −0.0175437 + 0.00470082i
\(415\) −9.89837 + 5.71482i −0.485892 + 0.280530i
\(416\) −4.63116 14.2384i −0.227061 0.698093i
\(417\) −6.40439 + 11.0927i −0.313624 + 0.543213i
\(418\) −0.0880299 0.0880299i −0.00430568 0.00430568i
\(419\) 25.2233 + 14.5627i 1.23224 + 0.711435i 0.967497 0.252884i \(-0.0813791\pi\)
0.264744 + 0.964319i \(0.414712\pi\)
\(420\) 11.6642 + 11.8591i 0.569156 + 0.578665i
\(421\) 24.9431 24.9431i 1.21565 1.21565i 0.246512 0.969140i \(-0.420715\pi\)
0.969140 0.246512i \(-0.0792845\pi\)
\(422\) −0.632127 2.35913i −0.0307714 0.114841i
\(423\) −13.9983 + 13.9983i −0.680619 + 0.680619i
\(424\) 17.8973 4.79556i 0.869168 0.232893i
\(425\) 44.6200 + 25.7614i 2.16439 + 1.24961i
\(426\) 1.78227 3.08698i 0.0863513 0.149565i
\(427\) −0.00279857 + 0.337836i −0.000135432 + 0.0163491i
\(428\) 0.111001i 0.00536543i
\(429\) −0.282664 0.0599912i −0.0136471 0.00289640i
\(430\) 12.2724 + 7.08545i 0.591826 + 0.341691i
\(431\) 3.15664 + 0.845820i 0.152050 + 0.0407417i 0.334041 0.942558i \(-0.391588\pi\)
−0.181991 + 0.983300i \(0.558254\pi\)
\(432\) 14.8433i 0.714149i
\(433\) −9.82888 17.0241i −0.472346 0.818127i 0.527153 0.849770i \(-0.323259\pi\)
−0.999499 + 0.0316430i \(0.989926\pi\)
\(434\) 2.03572 + 0.0168634i 0.0977174 + 0.000809471i
\(435\) −4.62913 1.24037i −0.221950 0.0594713i
\(436\) 29.4452 7.88981i 1.41017 0.377854i
\(437\) 0.428956 + 1.60089i 0.0205197 + 0.0765807i
\(438\) 3.20771 0.153271
\(439\) −37.8075 −1.80445 −0.902226 0.431263i \(-0.858068\pi\)
−0.902226 + 0.431263i \(0.858068\pi\)
\(440\) 0.123988 + 0.462731i 0.00591091 + 0.0220598i
\(441\) −7.35234 13.2363i −0.350111 0.630300i
\(442\) −2.51436 7.73033i −0.119596 0.367694i
\(443\) 2.31623 + 4.01183i 0.110047 + 0.190608i 0.915789 0.401659i \(-0.131566\pi\)
−0.805742 + 0.592267i \(0.798233\pi\)
\(444\) −1.16356 + 4.34245i −0.0552200 + 0.206084i
\(445\) −3.13163 5.42414i −0.148454 0.257129i
\(446\) −2.44928 + 4.24228i −0.115977 + 0.200878i
\(447\) −5.93233 5.93233i −0.280589 0.280589i
\(448\) 10.8099 6.12225i 0.510718 0.289249i
\(449\) −3.43957 + 12.8367i −0.162324 + 0.605800i 0.836043 + 0.548664i \(0.184863\pi\)
−0.998366 + 0.0571356i \(0.981803\pi\)
\(450\) −1.87425 + 6.99480i −0.0883530 + 0.329738i
\(451\) 0.272315i 0.0128228i
\(452\) −8.81800 + 5.09107i −0.414764 + 0.239464i
\(453\) −4.91016 + 4.91016i −0.230700 + 0.230700i
\(454\) 4.53855 0.213005
\(455\) 7.62933 34.5363i 0.357668 1.61909i
\(456\) 5.01008 0.234619
\(457\) −0.254661 + 0.254661i −0.0119125 + 0.0119125i −0.713038 0.701125i \(-0.752681\pi\)
0.701125 + 0.713038i \(0.252681\pi\)
\(458\) −5.23651 + 3.02330i −0.244686 + 0.141270i
\(459\) 27.8232i 1.29867i
\(460\) 0.793943 2.96304i 0.0370178 0.138152i
\(461\) −6.55396 + 24.4597i −0.305249 + 1.13920i 0.627483 + 0.778631i \(0.284085\pi\)
−0.932731 + 0.360573i \(0.882581\pi\)
\(462\) −0.000672273 0.0811552i −3.12770e−5 0.00377568i
\(463\) 18.4801 + 18.4801i 0.858844 + 0.858844i 0.991202 0.132358i \(-0.0422548\pi\)
−0.132358 + 0.991202i \(0.542255\pi\)
\(464\) −2.21993 + 3.84504i −0.103058 + 0.178501i
\(465\) 3.40952 + 5.90546i 0.158113 + 0.273859i
\(466\) −1.32762 + 4.95475i −0.0615009 + 0.229525i
\(467\) −15.6223 27.0587i −0.722916 1.25213i −0.959826 0.280595i \(-0.909468\pi\)
0.236911 0.971531i \(-0.423865\pi\)
\(468\) −12.1208 + 7.87665i −0.560285 + 0.364098i
\(469\) 6.60715 + 25.5014i 0.305090 + 1.17754i
\(470\) 3.36156 + 12.5455i 0.155057 + 0.578682i
\(471\) −0.462721 −0.0213210
\(472\) −10.5506 −0.485631
\(473\) −0.226405 0.844955i −0.0104101 0.0388511i
\(474\) −1.18885 + 0.318551i −0.0546056 + 0.0146315i
\(475\) 31.3700 + 8.40556i 1.43935 + 0.385673i
\(476\) 25.1349 14.2353i 1.15206 0.652475i
\(477\) −13.5864 23.5323i −0.622077 1.07747i
\(478\) 7.82307i 0.357819i
\(479\) 28.7805 + 7.71172i 1.31502 + 0.352357i 0.847108 0.531420i \(-0.178341\pi\)
0.467907 + 0.883778i \(0.345008\pi\)
\(480\) −12.1987 7.04290i −0.556791 0.321463i
\(481\) 9.09030 2.95671i 0.414482 0.134814i
\(482\) 0.390709i 0.0177963i
\(483\) 0.547954 0.931185i 0.0249328 0.0423704i
\(484\) −10.1871 + 17.6447i −0.463052 + 0.802030i
\(485\) 5.60885 + 3.23827i 0.254685 + 0.147042i
\(486\) 5.97213 1.60023i 0.270901 0.0725878i
\(487\) −10.1388 + 10.1388i −0.459433 + 0.459433i −0.898469 0.439037i \(-0.855320\pi\)
0.439037 + 0.898469i \(0.355320\pi\)
\(488\) −0.0487462 0.181923i −0.00220664 0.00823528i
\(489\) −2.87295 + 2.87295i −0.129920 + 0.129920i
\(490\) −9.93246 0.164568i −0.448703 0.00743443i
\(491\) 16.5417 + 9.55034i 0.746515 + 0.431001i 0.824433 0.565959i \(-0.191494\pi\)
−0.0779183 + 0.996960i \(0.524827\pi\)
\(492\) 3.72729 + 3.72729i 0.168039 + 0.168039i
\(493\) −4.16117 + 7.20736i −0.187410 + 0.324603i
\(494\) −2.79203 4.29646i −0.125619 0.193307i
\(495\) 0.608423 0.351273i 0.0273466 0.0157886i
\(496\) 6.10213 1.63506i 0.273994 0.0734164i
\(497\) −6.75498 26.0719i −0.303002 1.16949i
\(498\) 0.934831 0.539725i 0.0418908 0.0241856i
\(499\) −22.3030 5.97607i −0.998420 0.267526i −0.277636 0.960686i \(-0.589551\pi\)
−0.720783 + 0.693160i \(0.756218\pi\)
\(500\) −18.2074 18.2074i −0.814259 0.814259i
\(501\) −5.19209 5.19209i −0.231966 0.231966i
\(502\) 4.13682 + 1.10846i 0.184635 + 0.0494729i
\(503\) 10.9978 6.34957i 0.490367 0.283113i −0.234360 0.972150i \(-0.575299\pi\)
0.724727 + 0.689036i \(0.241966\pi\)
\(504\) 5.91890 + 6.01778i 0.263649 + 0.268053i
\(505\) −24.4334 + 6.54690i −1.08727 + 0.291333i
\(506\) 0.0129615 0.00748334i 0.000576210 0.000332675i
\(507\) −10.8679 4.83071i −0.482662 0.214539i
\(508\) −15.7741 + 27.3216i −0.699864 + 1.21220i
\(509\) 7.68399 + 7.68399i 0.340587 + 0.340587i 0.856588 0.516001i \(-0.172580\pi\)
−0.516001 + 0.856588i \(0.672580\pi\)
\(510\) −6.62294 3.82375i −0.293269 0.169319i
\(511\) 17.2793 16.9954i 0.764391 0.751831i
\(512\) −15.7822 + 15.7822i −0.697483 + 0.697483i
\(513\) −4.53914 16.9403i −0.200408 0.747933i
\(514\) 2.55130 2.55130i 0.112533 0.112533i
\(515\) 35.8155 9.59673i 1.57822 0.422883i
\(516\) 14.6642 + 8.46637i 0.645554 + 0.372711i
\(517\) 0.400874 0.694333i 0.0176304 0.0305367i
\(518\) −1.32309 2.33613i −0.0581330 0.102644i
\(519\) 1.15556i 0.0507233i
\(520\) 1.03798 + 19.6899i 0.0455182 + 0.863458i
\(521\) −28.6041 16.5146i −1.25317 0.723518i −0.281432 0.959581i \(-0.590809\pi\)
−0.971738 + 0.236064i \(0.924143\pi\)
\(522\) −1.12985 0.302743i −0.0494523 0.0132507i
\(523\) 15.6359i 0.683712i 0.939752 + 0.341856i \(0.111055\pi\)
−0.939752 + 0.341856i \(0.888945\pi\)
\(524\) 2.52085 + 4.36624i 0.110124 + 0.190740i
\(525\) −10.4336 18.4223i −0.455360 0.804016i
\(526\) 5.08247 + 1.36184i 0.221606 + 0.0593792i
\(527\) 11.4382 3.06485i 0.498255 0.133507i
\(528\) 0.0651828 + 0.243266i 0.00283672 + 0.0105868i
\(529\) 22.8008 0.991337
\(530\) −17.8274 −0.774375
\(531\) 4.00465 + 14.9455i 0.173787 + 0.648581i
\(532\) 12.9811 12.7678i 0.562804 0.553556i
\(533\) 2.32692 10.9639i 0.100790 0.474899i
\(534\) 0.295760 + 0.512272i 0.0127988 + 0.0221682i
\(535\) −0.0574687 + 0.214476i −0.00248459 + 0.00927261i
\(536\) −7.34285 12.7182i −0.317163 0.549342i
\(537\) 0.773158 1.33915i 0.0333642 0.0577885i
\(538\) −6.38313 6.38313i −0.275196 0.275196i
\(539\) 0.426362 + 0.440728i 0.0183647 + 0.0189835i
\(540\) −8.40138 + 31.3544i −0.361538 + 1.34928i
\(541\) 3.18712 11.8945i 0.137025 0.511384i −0.862956 0.505278i \(-0.831390\pi\)
0.999981 0.00610564i \(-0.00194350\pi\)
\(542\) 3.47943i 0.149454i
\(543\) −6.58256 + 3.80044i −0.282485 + 0.163093i
\(544\) −17.2965 + 17.2965i −0.741579 + 0.741579i
\(545\) −60.9789 −2.61205
\(546\) −0.720536 + 3.26171i −0.0308361 + 0.139588i
\(547\) 3.99754 0.170922 0.0854611 0.996342i \(-0.472764\pi\)
0.0854611 + 0.996342i \(0.472764\pi\)
\(548\) 5.64583 5.64583i 0.241178 0.241178i
\(549\) −0.239202 + 0.138104i −0.0102089 + 0.00589412i
\(550\) 0.293278i 0.0125054i
\(551\) −1.35773 + 5.06711i −0.0578412 + 0.215866i
\(552\) −0.155891 + 0.581794i −0.00663517 + 0.0247628i
\(553\) −4.71631 + 8.01482i −0.200558 + 0.340825i
\(554\) 3.42711 + 3.42711i 0.145604 + 0.145604i
\(555\) 4.49646 7.78809i 0.190864 0.330586i
\(556\) −12.9753 22.4738i −0.550273 0.953101i
\(557\) −3.31424 + 12.3689i −0.140429 + 0.524088i 0.859488 + 0.511157i \(0.170783\pi\)
−0.999916 + 0.0129309i \(0.995884\pi\)
\(558\) 0.832177 + 1.44137i 0.0352288 + 0.0610181i
\(559\) −1.89536 35.9541i −0.0801653 1.52070i
\(560\) −29.8410 + 7.73152i −1.26101 + 0.326717i
\(561\) 0.122182 + 0.455991i 0.00515855 + 0.0192520i
\(562\) 12.7689 0.538621
\(563\) −10.0474 −0.423447 −0.211723 0.977330i \(-0.567908\pi\)
−0.211723 + 0.977330i \(0.567908\pi\)
\(564\) 4.01671 + 14.9906i 0.169134 + 0.631217i
\(565\) 19.6740 5.27162i 0.827690 0.221779i
\(566\) 8.44371 + 2.26249i 0.354916 + 0.0950993i
\(567\) 2.90876 4.94311i 0.122157 0.207591i
\(568\) 7.50713 + 13.0027i 0.314992 + 0.545583i
\(569\) 5.89515i 0.247138i 0.992336 + 0.123569i \(0.0394340\pi\)
−0.992336 + 0.123569i \(0.960566\pi\)
\(570\) −4.65623 1.24763i −0.195028 0.0522577i
\(571\) 0.761139 + 0.439444i 0.0318527 + 0.0183901i 0.515842 0.856684i \(-0.327479\pi\)
−0.483989 + 0.875074i \(0.660813\pi\)
\(572\) 0.391596 0.435180i 0.0163734 0.0181958i
\(573\) 18.8718i 0.788380i
\(574\) −3.14782 0.0260759i −0.131388 0.00108839i
\(575\) −1.95218 + 3.38128i −0.0814117 + 0.141009i
\(576\) 8.79582 + 5.07827i 0.366492 + 0.211594i
\(577\) −0.150636 + 0.0403629i −0.00627107 + 0.00168033i −0.261953 0.965081i \(-0.584367\pi\)
0.255682 + 0.966761i \(0.417700\pi\)
\(578\) −4.78966 + 4.78966i −0.199224 + 0.199224i
\(579\) 3.17460 + 11.8478i 0.131932 + 0.492376i
\(580\) 6.86560 6.86560i 0.285079 0.285079i
\(581\) 2.17613 7.86039i 0.0902810 0.326104i
\(582\) −0.529716 0.305832i −0.0219574 0.0126771i
\(583\) 0.778156 + 0.778156i 0.0322279 + 0.0322279i
\(584\) −6.75564 + 11.7011i −0.279550 + 0.484195i
\(585\) 27.4979 8.94395i 1.13690 0.369787i
\(586\) −3.97256 + 2.29356i −0.164105 + 0.0947460i
\(587\) −38.7558 + 10.3846i −1.59962 + 0.428617i −0.944928 0.327278i \(-0.893869\pi\)
−0.654693 + 0.755895i \(0.727202\pi\)
\(588\) −11.8682 0.196642i −0.489438 0.00810936i
\(589\) 6.46420 3.73211i 0.266353 0.153779i
\(590\) 9.80544 + 2.62736i 0.403684 + 0.108167i
\(591\) 10.6985 + 10.6985i 0.440076 + 0.440076i
\(592\) −5.89115 5.89115i −0.242125 0.242125i
\(593\) −2.34322 0.627863i −0.0962244 0.0257833i 0.210386 0.977618i \(-0.432528\pi\)
−0.306610 + 0.951835i \(0.599195\pi\)
\(594\) −0.137157 + 0.0791875i −0.00562761 + 0.00324910i
\(595\) −55.9357 + 14.4924i −2.29314 + 0.594131i
\(596\) 16.4181 4.39921i 0.672510 0.180199i
\(597\) 10.2698 5.92928i 0.420316 0.242669i
\(598\) 0.585800 0.190537i 0.0239551 0.00779164i
\(599\) 5.34796 9.26293i 0.218512 0.378473i −0.735842 0.677154i \(-0.763213\pi\)
0.954353 + 0.298681i \(0.0965465\pi\)
\(600\) 8.34573 + 8.34573i 0.340713 + 0.340713i
\(601\) −30.2246 17.4502i −1.23289 0.711807i −0.265255 0.964178i \(-0.585456\pi\)
−0.967630 + 0.252371i \(0.918790\pi\)
\(602\) −9.78896 + 2.53622i −0.398968 + 0.103369i
\(603\) −15.2290 + 15.2290i −0.620171 + 0.620171i
\(604\) −3.64120 13.5892i −0.148159 0.552935i
\(605\) 28.8188 28.8188i 1.17165 1.17165i
\(606\) 2.30756 0.618308i 0.0937381 0.0251171i
\(607\) −12.7887 7.38356i −0.519078 0.299690i 0.217480 0.976065i \(-0.430216\pi\)
−0.736557 + 0.676375i \(0.763550\pi\)
\(608\) −7.70927 + 13.3528i −0.312652 + 0.541529i
\(609\) 2.97571 1.68532i 0.120582 0.0682925i
\(610\) 0.181214i 0.00733712i
\(611\) 22.0730 24.5297i 0.892977 0.992365i
\(612\) 20.4519 + 11.8079i 0.826718 + 0.477306i
\(613\) 13.1947 + 3.53552i 0.532930 + 0.142798i 0.515241 0.857045i \(-0.327702\pi\)
0.0176892 + 0.999844i \(0.494369\pi\)
\(614\) 10.2760i 0.414704i
\(615\) −5.27214 9.13161i −0.212593 0.368222i
\(616\) −0.294622 0.173370i −0.0118707 0.00698527i
\(617\) −14.8331 3.97453i −0.597160 0.160008i −0.0524363 0.998624i \(-0.516699\pi\)
−0.544723 + 0.838616i \(0.683365\pi\)
\(618\) −3.38252 + 0.906344i −0.136065 + 0.0364585i
\(619\) 1.22023 + 4.55397i 0.0490453 + 0.183039i 0.986103 0.166135i \(-0.0531287\pi\)
−0.937058 + 0.349174i \(0.886462\pi\)
\(620\) −13.8153 −0.554837
\(621\) 2.10842 0.0846081
\(622\) −2.95191 11.0167i −0.118361 0.441728i
\(623\) 4.30736 + 1.19248i 0.172571 + 0.0477758i
\(624\) 0.545682 + 10.3513i 0.0218448 + 0.414384i
\(625\) 3.88665 + 6.73187i 0.155466 + 0.269275i
\(626\) −1.61994 + 6.04570i −0.0647458 + 0.241635i
\(627\) 0.148783 + 0.257700i 0.00594183 + 0.0102915i
\(628\) 0.468734 0.811872i 0.0187045 0.0323972i
\(629\) −11.0427 11.0427i −0.440302 0.440302i
\(630\) −4.00229 7.06672i −0.159455 0.281545i
\(631\) −4.57205 + 17.0631i −0.182011 + 0.679273i 0.813240 + 0.581928i \(0.197702\pi\)
−0.995251 + 0.0973445i \(0.968965\pi\)
\(632\) 1.34177 5.00757i 0.0533729 0.199190i
\(633\) 5.83776i 0.232030i
\(634\) 5.66090 3.26832i 0.224823 0.129802i
\(635\) 44.6241 44.6241i 1.77085 1.77085i
\(636\) −21.3019 −0.844676
\(637\) 13.4001 + 21.3878i 0.530931 + 0.847415i
\(638\) 0.0473725 0.00187549
\(639\) 15.5697 15.5697i 0.615927 0.615927i
\(640\) 32.4386 18.7284i 1.28225 0.740306i
\(641\) 37.2148i 1.46990i 0.678124 + 0.734948i \(0.262793\pi\)
−0.678124 + 0.734948i \(0.737207\pi\)
\(642\) 0.00542751 0.0202557i 0.000214207 0.000799431i
\(643\) 2.17224 8.10691i 0.0856648 0.319705i −0.909774 0.415103i \(-0.863746\pi\)
0.995439 + 0.0953976i \(0.0304122\pi\)
\(644\) 1.07875 + 1.90471i 0.0425085 + 0.0750560i
\(645\) −23.9508 23.9508i −0.943064 0.943064i
\(646\) −4.18554 + 7.24956i −0.164678 + 0.285230i
\(647\) 12.9222 + 22.3819i 0.508024 + 0.879923i 0.999957 + 0.00928983i \(0.00295709\pi\)
−0.491933 + 0.870633i \(0.663710\pi\)
\(648\) −0.827533 + 3.08840i −0.0325086 + 0.121324i
\(649\) −0.313319 0.542684i −0.0122988 0.0213022i
\(650\) 2.50605 11.8079i 0.0982955 0.463144i
\(651\) −4.68958 1.29830i −0.183799 0.0508844i
\(652\) −2.13048 7.95107i −0.0834362 0.311388i
\(653\) 32.0109 1.25268 0.626341 0.779549i \(-0.284552\pi\)
0.626341 + 0.779549i \(0.284552\pi\)
\(654\) 5.75902 0.225196
\(655\) −2.61025 9.74159i −0.101991 0.380636i
\(656\) −9.43572 + 2.52829i −0.368403 + 0.0987133i
\(657\) 19.1395 + 5.12842i 0.746703 + 0.200079i
\(658\) −7.98777 4.70039i −0.311396 0.183240i
\(659\) 1.93932 + 3.35900i 0.0755452 + 0.130848i 0.901323 0.433147i \(-0.142597\pi\)
−0.825778 + 0.563995i \(0.809264\pi\)
\(660\) 0.550758i 0.0214382i
\(661\) −8.97619 2.40516i −0.349133 0.0935500i 0.0799905 0.996796i \(-0.474511\pi\)
−0.429124 + 0.903246i \(0.641178\pi\)
\(662\) −7.21829 4.16748i −0.280547 0.161974i
\(663\) 1.02286 + 19.4031i 0.0397245 + 0.753553i
\(664\) 4.54677i 0.176449i
\(665\) −31.6925 + 17.9493i −1.22898 + 0.696044i
\(666\) 1.09747 1.90087i 0.0425261 0.0736574i
\(667\) −0.546170 0.315331i −0.0211478 0.0122097i
\(668\) 14.3694 3.85027i 0.555969 0.148972i
\(669\) 8.27927 8.27927i 0.320095 0.320095i
\(670\) 3.65710 + 13.6485i 0.141286 + 0.527287i
\(671\) 0.00790985 0.00790985i 0.000305356 0.000305356i
\(672\) 9.73018 2.52100i 0.375350 0.0972495i
\(673\) 24.3896 + 14.0814i 0.940151 + 0.542797i 0.890008 0.455945i \(-0.150699\pi\)
0.0501436 + 0.998742i \(0.484032\pi\)
\(674\) 6.13166 + 6.13166i 0.236183 + 0.236183i
\(675\) 20.6577 35.7802i 0.795115 1.37718i
\(676\) 19.4850 14.1750i 0.749422 0.545192i
\(677\) −24.5782 + 14.1902i −0.944617 + 0.545375i −0.891405 0.453209i \(-0.850279\pi\)
−0.0532122 + 0.998583i \(0.516946\pi\)
\(678\) −1.85807 + 0.497868i −0.0713586 + 0.0191205i
\(679\) −4.47386 + 1.15913i −0.171691 + 0.0444835i
\(680\) 27.8966 16.1061i 1.06979 0.617641i
\(681\) −10.4785 2.80771i −0.401537 0.107592i
\(682\) −0.0476627 0.0476627i −0.00182510 0.00182510i
\(683\) 17.2778 + 17.2778i 0.661118 + 0.661118i 0.955644 0.294526i \(-0.0951616\pi\)
−0.294526 + 0.955644i \(0.595162\pi\)
\(684\) 14.3786 + 3.85274i 0.549780 + 0.147313i
\(685\) −13.8319 + 7.98586i −0.528490 + 0.305124i
\(686\) 5.13543 4.88633i 0.196072 0.186561i
\(687\) 13.9603 3.74064i 0.532617 0.142714i
\(688\) −27.1757 + 15.6899i −1.03606 + 0.598172i
\(689\) 24.6807 + 37.9793i 0.940259 + 1.44690i
\(690\) 0.289762 0.501883i 0.0110311 0.0191063i
\(691\) −22.9402 22.9402i −0.872688 0.872688i 0.120077 0.992765i \(-0.461686\pi\)
−0.992765 + 0.120077i \(0.961686\pi\)
\(692\) 2.02749 + 1.17057i 0.0770738 + 0.0444986i
\(693\) −0.133760 + 0.483155i −0.00508113 + 0.0183535i
\(694\) −3.21279 + 3.21279i −0.121956 + 0.121956i
\(695\) 13.4354 + 50.1416i 0.509634 + 1.90198i
\(696\) −1.34806 + 1.34806i −0.0510983 + 0.0510983i
\(697\) −17.6869 + 4.73918i −0.669937 + 0.179509i
\(698\) 6.89372 + 3.98009i 0.260931 + 0.150649i
\(699\) 6.13037 10.6181i 0.231872 0.401614i
\(700\) 42.8923 + 0.355311i 1.62118 + 0.0134295i
\(701\) 49.4461i 1.86755i 0.357856 + 0.933777i \(0.383508\pi\)
−0.357856 + 0.933777i \(0.616492\pi\)
\(702\) −6.19884 + 2.01623i −0.233960 + 0.0760978i
\(703\) −8.52496 4.92189i −0.321525 0.185632i
\(704\) −0.397317 0.106461i −0.0149745 0.00401240i
\(705\) 31.0444i 1.16920i
\(706\) 5.34960 + 9.26578i 0.201335 + 0.348722i
\(707\) 9.15437 15.5568i 0.344286 0.585074i
\(708\) 11.7165 + 3.13942i 0.440332 + 0.117987i
\(709\) 17.2101 4.61145i 0.646341 0.173186i 0.0792669 0.996853i \(-0.474742\pi\)
0.567074 + 0.823667i \(0.308075\pi\)
\(710\) −3.73892 13.9539i −0.140319 0.523679i
\(711\) −7.60280 −0.285127
\(712\) −2.49156 −0.0933750
\(713\) 0.232253 + 0.866779i 0.00869794 + 0.0324611i
\(714\) 5.28274 1.36871i 0.197701 0.0512225i
\(715\) −0.981949 + 0.638115i −0.0367228 + 0.0238641i
\(716\) 1.56641 + 2.71311i 0.0585396 + 0.101394i
\(717\) −4.83963 + 18.0617i −0.180739 + 0.674528i
\(718\) 3.00282 + 5.20104i 0.112064 + 0.194101i
\(719\) −13.9168 + 24.1047i −0.519011 + 0.898953i 0.480745 + 0.876860i \(0.340366\pi\)
−0.999756 + 0.0220927i \(0.992967\pi\)
\(720\) −17.8205 17.8205i −0.664132 0.664132i
\(721\) −13.4189 + 22.8038i −0.499745 + 0.849260i
\(722\) 0.516523 1.92769i 0.0192230 0.0717412i
\(723\) 0.241707 0.902062i 0.00898917 0.0335480i
\(724\) 15.3994i 0.572312i
\(725\) −10.7024 + 6.17904i −0.397478 + 0.229484i
\(726\) −2.72174 + 2.72174i −0.101013 + 0.101013i
\(727\) 47.3797 1.75722 0.878608 0.477544i \(-0.158473\pi\)
0.878608 + 0.477544i \(0.158473\pi\)
\(728\) −10.3806 9.49773i −0.384730 0.352009i
\(729\) −8.27491 −0.306478
\(730\) 9.19237 9.19237i 0.340225 0.340225i
\(731\) −50.9397 + 29.4101i −1.88407 + 1.08777i
\(732\) 0.216531i 0.00800322i
\(733\) 7.74821 28.9167i 0.286187 1.06806i −0.661781 0.749697i \(-0.730199\pi\)
0.947968 0.318366i \(-0.103134\pi\)
\(734\) −0.474726 + 1.77170i −0.0175225 + 0.0653947i
\(735\) 22.8300 + 6.52452i 0.842098 + 0.240661i
\(736\) −1.31072 1.31072i −0.0483136 0.0483136i
\(737\) 0.436117 0.755377i 0.0160646 0.0278247i
\(738\) −1.28679 2.22879i −0.0473675 0.0820430i
\(739\) 3.28151 12.2468i 0.120712 0.450505i −0.878938 0.476936i \(-0.841748\pi\)
0.999651 + 0.0264308i \(0.00841417\pi\)
\(740\) 9.10979 + 15.7786i 0.334883 + 0.580034i
\(741\) 3.78824 + 11.6468i 0.139165 + 0.427857i
\(742\) 9.06962 8.92060i 0.332956 0.327485i
\(743\) −5.17566 19.3158i −0.189877 0.708629i −0.993534 0.113537i \(-0.963782\pi\)
0.803657 0.595093i \(-0.202885\pi\)
\(744\) 2.71265 0.0994505
\(745\) −34.0006 −1.24569
\(746\) −0.186613 0.696448i −0.00683238 0.0254988i
\(747\) 6.44076 1.72580i 0.235655 0.0631436i
\(748\) −0.923835 0.247541i −0.0337788 0.00905099i
\(749\) −0.0780838 0.137870i −0.00285312 0.00503766i
\(750\) −2.43227 4.21281i −0.0888138 0.153830i
\(751\) 31.9306i 1.16516i −0.812772 0.582582i \(-0.802042\pi\)
0.812772 0.582582i \(-0.197958\pi\)
\(752\) −27.7806 7.44379i −1.01305 0.271447i
\(753\) −8.86527 5.11837i −0.323068 0.186524i
\(754\) 1.90730 + 0.404797i 0.0694599 + 0.0147418i
\(755\) 28.1422i 1.02420i
\(756\) −11.4151 20.1553i −0.415164 0.733041i
\(757\) 0.983838 1.70406i 0.0357582 0.0619350i −0.847592 0.530648i \(-0.821949\pi\)
0.883351 + 0.468713i \(0.155282\pi\)
\(758\) 0.472085 + 0.272558i 0.0171469 + 0.00989976i
\(759\) −0.0345548 + 0.00925892i −0.00125426 + 0.000336077i
\(760\) 14.3574 14.3574i 0.520799 0.520799i
\(761\) 1.79980 + 6.71695i 0.0652427 + 0.243489i 0.990844 0.135010i \(-0.0431068\pi\)
−0.925601 + 0.378500i \(0.876440\pi\)
\(762\) −4.21443 + 4.21443i −0.152673 + 0.152673i
\(763\) 31.0227 30.5129i 1.12310 1.10464i
\(764\) −33.1117 19.1171i −1.19794 0.691631i
\(765\) −33.4038 33.4038i −1.20772 1.20772i
\(766\) −2.09428 + 3.62739i −0.0756693 + 0.131063i
\(767\) −7.97756 24.5267i −0.288053 0.885609i
\(768\) 4.37684 2.52697i 0.157936 0.0911843i
\(769\) 2.45316 0.657322i 0.0884631 0.0237036i −0.214316 0.976764i \(-0.568752\pi\)
0.302779 + 0.953061i \(0.402086\pi\)
\(770\) 0.230640 + 0.234494i 0.00831171 + 0.00845056i
\(771\) −7.46873 + 4.31207i −0.268980 + 0.155295i
\(772\) −24.0035 6.43171i −0.863904 0.231482i
\(773\) −6.08636 6.08636i −0.218911 0.218911i