Properties

Label 300.2.r.a.59.10
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.10
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26137 + 0.639492i) q^{2} +(-0.689827 + 1.58875i) q^{3} +(1.18210 - 1.61327i) q^{4} +(1.00094 - 1.99953i) q^{5} +(-0.145871 - 2.44514i) q^{6} -0.923130 q^{7} +(-0.459388 + 2.79087i) q^{8} +(-2.04828 - 2.19193i) q^{9} +O(q^{10})\) \(q+(-1.26137 + 0.639492i) q^{2} +(-0.689827 + 1.58875i) q^{3} +(1.18210 - 1.61327i) q^{4} +(1.00094 - 1.99953i) q^{5} +(-0.145871 - 2.44514i) q^{6} -0.923130 q^{7} +(-0.459388 + 2.79087i) q^{8} +(-2.04828 - 2.19193i) q^{9} +(0.0161381 + 3.16224i) q^{10} +(-4.04349 - 2.93777i) q^{11} +(1.74765 + 2.99094i) q^{12} +(-3.14149 - 4.32389i) q^{13} +(1.16441 - 0.590335i) q^{14} +(2.48629 + 2.96957i) q^{15} +(-1.20528 - 3.81409i) q^{16} +(-1.70962 + 5.26167i) q^{17} +(3.98536 + 1.45497i) q^{18} +(-2.48437 - 0.807220i) q^{19} +(-2.04258 - 3.97842i) q^{20} +(0.636800 - 1.46663i) q^{21} +(6.97901 + 1.11982i) q^{22} +(2.68594 - 3.69688i) q^{23} +(-4.11711 - 2.65507i) q^{24} +(-2.99626 - 4.00280i) q^{25} +(6.72767 + 3.44506i) q^{26} +(4.89539 - 1.74216i) q^{27} +(-1.09123 + 1.48926i) q^{28} +(7.66061 - 2.48908i) q^{29} +(-5.03515 - 2.15576i) q^{30} +(-1.27703 - 0.414934i) q^{31} +(3.95939 + 4.04020i) q^{32} +(7.45670 - 4.39756i) q^{33} +(-1.20834 - 7.73019i) q^{34} +(-0.923993 + 1.84583i) q^{35} +(-5.95744 + 0.713350i) q^{36} +(-0.788144 - 1.08479i) q^{37} +(3.64992 - 0.570533i) q^{38} +(9.03668 - 2.00832i) q^{39} +(5.12062 + 3.71204i) q^{40} +(0.114333 + 0.157366i) q^{41} +(0.134658 + 2.25719i) q^{42} +3.44541 q^{43} +(-9.51922 + 3.05051i) q^{44} +(-6.43303 + 1.90162i) q^{45} +(-1.02383 + 6.38077i) q^{46} +(-11.3954 + 3.70260i) q^{47} +(6.89109 + 0.716161i) q^{48} -6.14783 q^{49} +(6.33915 + 3.13292i) q^{50} +(-7.18015 - 6.34580i) q^{51} +(-10.6892 - 0.0431923i) q^{52} +(-0.488366 - 1.50304i) q^{53} +(-5.06080 + 5.32807i) q^{54} +(-9.92143 + 5.14457i) q^{55} +(0.424075 - 2.57634i) q^{56} +(2.99626 - 3.39021i) q^{57} +(-8.07110 + 8.03855i) q^{58} +(2.68596 - 1.95146i) q^{59} +(7.72976 - 0.500738i) q^{60} +(9.01103 + 6.54690i) q^{61} +(1.87616 - 0.293270i) q^{62} +(1.89083 + 2.02344i) q^{63} +(-7.57793 - 2.56418i) q^{64} +(-11.7902 + 1.95358i) q^{65} +(-6.59343 + 10.3154i) q^{66} +(-1.91500 + 5.89375i) q^{67} +(6.46755 + 8.97789i) q^{68} +(4.02060 + 6.81751i) q^{69} +(-0.0148976 - 2.91916i) q^{70} +(-0.381033 - 1.17270i) q^{71} +(7.05835 - 4.70954i) q^{72} +(5.65120 - 7.77821i) q^{73} +(1.68785 + 0.864304i) q^{74} +(8.42637 - 1.99908i) q^{75} +(-4.23903 + 3.05375i) q^{76} +(3.73267 + 2.71194i) q^{77} +(-10.1143 + 8.31212i) q^{78} +(2.98954 - 0.971362i) q^{79} +(-8.83281 - 1.40765i) q^{80} +(-0.609109 + 8.97936i) q^{81} +(-0.244851 - 0.125382i) q^{82} +(-3.68693 - 1.19795i) q^{83} +(-1.61331 - 2.76103i) q^{84} +(8.80965 + 8.68503i) q^{85} +(-4.34593 + 2.20331i) q^{86} +(-1.32995 + 13.8879i) q^{87} +(10.0565 - 9.93529i) q^{88} +(2.53952 - 3.49535i) q^{89} +(6.89834 - 6.51252i) q^{90} +(2.90000 + 3.99151i) q^{91} +(-2.78902 - 8.70324i) q^{92} +(1.54016 - 1.74266i) q^{93} +(12.0060 - 11.9576i) q^{94} +(-4.10076 + 4.15960i) q^{95} +(-9.15018 + 3.50346i) q^{96} +(-10.7202 + 3.48321i) q^{97} +(7.75468 - 3.93149i) q^{98} +(1.84282 + 14.8804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26137 + 0.639492i −0.891922 + 0.452189i
\(3\) −0.689827 + 1.58875i −0.398272 + 0.917268i
\(4\) 1.18210 1.61327i 0.591049 0.806635i
\(5\) 1.00094 1.99953i 0.447632 0.894218i
\(6\) −0.145871 2.44514i −0.0595516 0.998225i
\(7\) −0.923130 −0.348910 −0.174455 0.984665i \(-0.555816\pi\)
−0.174455 + 0.984665i \(0.555816\pi\)
\(8\) −0.459388 + 2.79087i −0.162418 + 0.986722i
\(9\) −2.04828 2.19193i −0.682760 0.730643i
\(10\) 0.0161381 + 3.16224i 0.00510333 + 0.999987i
\(11\) −4.04349 2.93777i −1.21916 0.885770i −0.223128 0.974789i \(-0.571627\pi\)
−0.996030 + 0.0890189i \(0.971627\pi\)
\(12\) 1.74765 + 2.99094i 0.504502 + 0.863410i
\(13\) −3.14149 4.32389i −0.871292 1.19923i −0.978757 0.205022i \(-0.934273\pi\)
0.107465 0.994209i \(-0.465727\pi\)
\(14\) 1.16441 0.590335i 0.311201 0.157774i
\(15\) 2.48629 + 2.96957i 0.641958 + 0.766740i
\(16\) −1.20528 3.81409i −0.301321 0.953523i
\(17\) −1.70962 + 5.26167i −0.414644 + 1.27614i 0.497926 + 0.867220i \(0.334095\pi\)
−0.912569 + 0.408922i \(0.865905\pi\)
\(18\) 3.98536 + 1.45497i 0.939357 + 0.342940i
\(19\) −2.48437 0.807220i −0.569953 0.185189i 0.00984150 0.999952i \(-0.496867\pi\)
−0.579795 + 0.814763i \(0.696867\pi\)
\(20\) −2.04258 3.97842i −0.456735 0.889603i
\(21\) 0.636800 1.46663i 0.138961 0.320044i
\(22\) 6.97901 + 1.11982i 1.48793 + 0.238747i
\(23\) 2.68594 3.69688i 0.560058 0.770854i −0.431276 0.902220i \(-0.641936\pi\)
0.991334 + 0.131366i \(0.0419364\pi\)
\(24\) −4.11711 2.65507i −0.840402 0.541964i
\(25\) −2.99626 4.00280i −0.599252 0.800561i
\(26\) 6.72767 + 3.44506i 1.31940 + 0.675631i
\(27\) 4.89539 1.74216i 0.942119 0.335279i
\(28\) −1.09123 + 1.48926i −0.206223 + 0.281443i
\(29\) 7.66061 2.48908i 1.42254 0.462211i 0.506131 0.862456i \(-0.331075\pi\)
0.916408 + 0.400245i \(0.131075\pi\)
\(30\) −5.03515 2.15576i −0.919288 0.393585i
\(31\) −1.27703 0.414934i −0.229362 0.0745243i 0.192081 0.981379i \(-0.438476\pi\)
−0.421443 + 0.906855i \(0.638476\pi\)
\(32\) 3.95939 + 4.04020i 0.699928 + 0.714214i
\(33\) 7.45670 4.39756i 1.29804 0.765517i
\(34\) −1.20834 7.73019i −0.207228 1.32572i
\(35\) −0.923993 + 1.84583i −0.156183 + 0.312002i
\(36\) −5.95744 + 0.713350i −0.992907 + 0.118892i
\(37\) −0.788144 1.08479i −0.129570 0.178338i 0.739303 0.673373i \(-0.235155\pi\)
−0.868873 + 0.495035i \(0.835155\pi\)
\(38\) 3.64992 0.570533i 0.592094 0.0925527i
\(39\) 9.03668 2.00832i 1.44703 0.321589i
\(40\) 5.12062 + 3.71204i 0.809641 + 0.586925i
\(41\) 0.114333 + 0.157366i 0.0178559 + 0.0245765i 0.817852 0.575429i \(-0.195165\pi\)
−0.799996 + 0.600006i \(0.795165\pi\)
\(42\) 0.134658 + 2.25719i 0.0207782 + 0.348291i
\(43\) 3.44541 0.525420 0.262710 0.964875i \(-0.415384\pi\)
0.262710 + 0.964875i \(0.415384\pi\)
\(44\) −9.51922 + 3.05051i −1.43508 + 0.459882i
\(45\) −6.43303 + 1.90162i −0.958979 + 0.283477i
\(46\) −1.02383 + 6.38077i −0.150956 + 0.940794i
\(47\) −11.3954 + 3.70260i −1.66219 + 0.540079i −0.981330 0.192332i \(-0.938395\pi\)
−0.680863 + 0.732411i \(0.738395\pi\)
\(48\) 6.89109 + 0.716161i 0.994643 + 0.103369i
\(49\) −6.14783 −0.878261
\(50\) 6.33915 + 3.13292i 0.896491 + 0.443062i
\(51\) −7.18015 6.34580i −1.00542 0.888590i
\(52\) −10.6892 0.0431923i −1.48232 0.00598969i
\(53\) −0.488366 1.50304i −0.0670823 0.206458i 0.911896 0.410420i \(-0.134618\pi\)
−0.978979 + 0.203962i \(0.934618\pi\)
\(54\) −5.06080 + 5.32807i −0.688687 + 0.725059i
\(55\) −9.92143 + 5.14457i −1.33781 + 0.693694i
\(56\) 0.424075 2.57634i 0.0566694 0.344278i
\(57\) 2.99626 3.39021i 0.396864 0.449044i
\(58\) −8.07110 + 8.03855i −1.05979 + 1.05551i
\(59\) 2.68596 1.95146i 0.349682 0.254059i −0.399053 0.916928i \(-0.630661\pi\)
0.748736 + 0.662869i \(0.230661\pi\)
\(60\) 7.72976 0.500738i 0.997908 0.0646451i
\(61\) 9.01103 + 6.54690i 1.15374 + 0.838244i 0.988974 0.148088i \(-0.0473117\pi\)
0.164770 + 0.986332i \(0.447312\pi\)
\(62\) 1.87616 0.293270i 0.238272 0.0372453i
\(63\) 1.89083 + 2.02344i 0.238222 + 0.254929i
\(64\) −7.57793 2.56418i −0.947241 0.320523i
\(65\) −11.7902 + 1.95358i −1.46239 + 0.242311i
\(66\) −6.59343 + 10.3154i −0.811595 + 1.26974i
\(67\) −1.91500 + 5.89375i −0.233954 + 0.720036i 0.763304 + 0.646039i \(0.223576\pi\)
−0.997258 + 0.0739975i \(0.976424\pi\)
\(68\) 6.46755 + 8.97789i 0.784306 + 1.08873i
\(69\) 4.02060 + 6.81751i 0.484024 + 0.820732i
\(70\) −0.0148976 2.91916i −0.00178060 0.348906i
\(71\) −0.381033 1.17270i −0.0452203 0.139174i 0.925897 0.377776i \(-0.123311\pi\)
−0.971117 + 0.238602i \(0.923311\pi\)
\(72\) 7.05835 4.70954i 0.831834 0.555024i
\(73\) 5.65120 7.77821i 0.661423 0.910371i −0.338104 0.941109i \(-0.609786\pi\)
0.999527 + 0.0307379i \(0.00978572\pi\)
\(74\) 1.68785 + 0.864304i 0.196209 + 0.100473i
\(75\) 8.42637 1.99908i 0.972993 0.230834i
\(76\) −4.23903 + 3.05375i −0.486251 + 0.350289i
\(77\) 3.73267 + 2.71194i 0.425377 + 0.309054i
\(78\) −10.1143 + 8.31212i −1.14522 + 0.941162i
\(79\) 2.98954 0.971362i 0.336350 0.109287i −0.135972 0.990713i \(-0.543416\pi\)
0.472322 + 0.881426i \(0.343416\pi\)
\(80\) −8.83281 1.40765i −0.987538 0.157380i
\(81\) −0.609109 + 8.97936i −0.0676788 + 0.997707i
\(82\) −0.244851 0.125382i −0.0270393 0.0138461i
\(83\) −3.68693 1.19795i −0.404693 0.131493i 0.0995956 0.995028i \(-0.468245\pi\)
−0.504288 + 0.863535i \(0.668245\pi\)
\(84\) −1.61331 2.76103i −0.176026 0.301253i
\(85\) 8.80965 + 8.68503i 0.955541 + 0.942023i
\(86\) −4.34593 + 2.20331i −0.468634 + 0.237589i
\(87\) −1.32995 + 13.8879i −0.142586 + 1.48893i
\(88\) 10.0565 9.93529i 1.07202 1.05911i
\(89\) 2.53952 3.49535i 0.269188 0.370506i −0.652927 0.757421i \(-0.726459\pi\)
0.922115 + 0.386915i \(0.126459\pi\)
\(90\) 6.89834 6.51252i 0.727149 0.686479i
\(91\) 2.90000 + 3.99151i 0.304003 + 0.418424i
\(92\) −2.78902 8.70324i −0.290776 0.907375i
\(93\) 1.54016 1.74266i 0.159707 0.180706i
\(94\) 12.0060 11.9576i 1.23833 1.23333i
\(95\) −4.10076 + 4.15960i −0.420729 + 0.426766i
\(96\) −9.15018 + 3.50346i −0.933886 + 0.357570i
\(97\) −10.7202 + 3.48321i −1.08847 + 0.353666i −0.797656 0.603113i \(-0.793927\pi\)
−0.290816 + 0.956779i \(0.593927\pi\)
\(98\) 7.75468 3.93149i 0.783341 0.397141i
\(99\) 1.84282 + 14.8804i 0.185210 + 1.49554i
\(100\) −9.99948 + 0.102065i −0.999948 + 0.0102065i
\(101\) 2.34735i 0.233570i 0.993157 + 0.116785i \(0.0372589\pi\)
−0.993157 + 0.116785i \(0.962741\pi\)
\(102\) 13.1149 + 3.41274i 1.29857 + 0.337911i
\(103\) −3.92740 12.0873i −0.386978 1.19100i −0.935035 0.354556i \(-0.884632\pi\)
0.548057 0.836441i \(-0.315368\pi\)
\(104\) 13.5106 6.78115i 1.32482 0.664947i
\(105\) −2.29517 2.74130i −0.223986 0.267523i
\(106\) 1.57719 + 1.58358i 0.153190 + 0.153811i
\(107\) 14.2230i 1.37499i −0.726188 0.687496i \(-0.758710\pi\)
0.726188 0.687496i \(-0.241290\pi\)
\(108\) 2.97626 9.95700i 0.286391 0.958113i
\(109\) −0.603321 + 0.438338i −0.0577876 + 0.0419852i −0.616304 0.787508i \(-0.711371\pi\)
0.558516 + 0.829493i \(0.311371\pi\)
\(110\) 9.22466 12.8339i 0.879537 1.22366i
\(111\) 2.26714 0.503852i 0.215188 0.0478235i
\(112\) 1.11263 + 3.52090i 0.105134 + 0.332694i
\(113\) −5.64270 + 4.09966i −0.530820 + 0.385664i −0.820665 0.571410i \(-0.806397\pi\)
0.289844 + 0.957074i \(0.406397\pi\)
\(114\) −1.61137 + 6.19239i −0.150919 + 0.579970i
\(115\) −4.70358 9.07097i −0.438611 0.845873i
\(116\) 5.04003 15.3010i 0.467955 1.42066i
\(117\) −3.04301 + 15.7425i −0.281327 + 1.45539i
\(118\) −2.14004 + 4.17917i −0.197006 + 0.384723i
\(119\) 1.57820 4.85720i 0.144673 0.445259i
\(120\) −9.42986 + 5.57474i −0.860825 + 0.508902i
\(121\) 4.32015 + 13.2960i 0.392741 + 1.20873i
\(122\) −15.5529 2.49556i −1.40810 0.225938i
\(123\) −0.328887 + 0.0730921i −0.0296547 + 0.00659049i
\(124\) −2.17898 + 1.56971i −0.195678 + 0.140964i
\(125\) −11.0028 + 1.98457i −0.984120 + 0.177505i
\(126\) −3.67900 1.34313i −0.327752 0.119655i
\(127\) 10.1668 + 7.38658i 0.902154 + 0.655453i 0.939018 0.343867i \(-0.111737\pi\)
−0.0368642 + 0.999320i \(0.511737\pi\)
\(128\) 11.1983 1.61165i 0.989802 0.142451i
\(129\) −2.37673 + 5.47391i −0.209260 + 0.481951i
\(130\) 13.6225 10.0039i 1.19477 0.877401i
\(131\) 1.95457 6.01556i 0.170772 0.525582i −0.828643 0.559777i \(-0.810887\pi\)
0.999415 + 0.0341951i \(0.0108868\pi\)
\(132\) 1.72010 17.2280i 0.149715 1.49951i
\(133\) 2.29340 + 0.745170i 0.198863 + 0.0646144i
\(134\) −1.35349 8.65882i −0.116924 0.748008i
\(135\) 1.41647 11.5323i 0.121910 0.992541i
\(136\) −13.8993 7.18847i −1.19185 0.616406i
\(137\) −7.53310 + 5.47312i −0.643596 + 0.467600i −0.861084 0.508463i \(-0.830214\pi\)
0.217488 + 0.976063i \(0.430214\pi\)
\(138\) −9.43121 6.02825i −0.802838 0.513158i
\(139\) 6.65163 9.15518i 0.564184 0.776533i −0.427667 0.903936i \(-0.640664\pi\)
0.991851 + 0.127404i \(0.0406644\pi\)
\(140\) 1.88557 + 3.67260i 0.159360 + 0.310392i
\(141\) 1.97835 20.6587i 0.166607 1.73977i
\(142\) 1.23055 + 1.23554i 0.103266 + 0.103684i
\(143\) 26.7126i 2.23382i
\(144\) −5.89146 + 10.4542i −0.490955 + 0.871185i
\(145\) 2.69077 17.8090i 0.223456 1.47896i
\(146\) −2.15414 + 13.4251i −0.178278 + 1.11107i
\(147\) 4.24094 9.76739i 0.349787 0.805601i
\(148\) −2.68172 0.0108362i −0.220436 0.000890729i
\(149\) 8.40410i 0.688491i 0.938880 + 0.344245i \(0.111865\pi\)
−0.938880 + 0.344245i \(0.888135\pi\)
\(150\) −9.35036 + 7.91017i −0.763454 + 0.645863i
\(151\) 13.3363i 1.08529i 0.839962 + 0.542645i \(0.182577\pi\)
−0.839962 + 0.542645i \(0.817423\pi\)
\(152\) 3.39414 6.56273i 0.275301 0.532307i
\(153\) 15.0350 7.03000i 1.21551 0.568341i
\(154\) −6.44253 1.03374i −0.519154 0.0833015i
\(155\) −2.10790 + 2.13815i −0.169311 + 0.171740i
\(156\) 7.44228 16.9526i 0.595860 1.35730i
\(157\) 4.59933i 0.367067i −0.983013 0.183533i \(-0.941246\pi\)
0.983013 0.183533i \(-0.0587536\pi\)
\(158\) −3.14974 + 3.13703i −0.250580 + 0.249569i
\(159\) 2.72484 + 0.260941i 0.216094 + 0.0206940i
\(160\) 12.0416 3.87295i 0.951973 0.306183i
\(161\) −2.47948 + 3.41271i −0.195410 + 0.268959i
\(162\) −4.97392 11.7158i −0.390788 0.920481i
\(163\) 8.56045 6.21953i 0.670506 0.487151i −0.199688 0.979859i \(-0.563993\pi\)
0.870195 + 0.492708i \(0.163993\pi\)
\(164\) 0.389028 + 0.00157197i 0.0303780 + 0.000122750i
\(165\) −1.32940 19.3116i −0.103493 1.50340i
\(166\) 5.41665 0.846699i 0.420414 0.0657166i
\(167\) 12.9615 + 4.21143i 1.00299 + 0.325891i 0.764059 0.645146i \(-0.223204\pi\)
0.238929 + 0.971037i \(0.423204\pi\)
\(168\) 3.80063 + 2.45098i 0.293225 + 0.189097i
\(169\) −4.80984 + 14.8032i −0.369988 + 1.13870i
\(170\) −16.6662 5.32131i −1.27824 0.408126i
\(171\) 3.31931 + 7.09897i 0.253834 + 0.542872i
\(172\) 4.07281 5.55838i 0.310549 0.423822i
\(173\) −7.53952 5.47778i −0.573219 0.416468i 0.263054 0.964781i \(-0.415270\pi\)
−0.836273 + 0.548313i \(0.815270\pi\)
\(174\) −7.20362 18.3682i −0.546105 1.39249i
\(175\) 2.76594 + 3.69511i 0.209085 + 0.279324i
\(176\) −6.33136 + 18.9631i −0.477244 + 1.42940i
\(177\) 1.24755 + 5.61350i 0.0937716 + 0.421937i
\(178\) −0.968019 + 6.03292i −0.0725561 + 0.452186i
\(179\) −5.31065 16.3445i −0.396936 1.22164i −0.927443 0.373964i \(-0.877998\pi\)
0.530507 0.847681i \(-0.322002\pi\)
\(180\) −4.53665 + 12.6261i −0.338142 + 0.941095i
\(181\) −0.203860 + 0.627418i −0.0151528 + 0.0466356i −0.958347 0.285606i \(-0.907805\pi\)
0.943194 + 0.332242i \(0.107805\pi\)
\(182\) −6.21051 3.18024i −0.460354 0.235735i
\(183\) −16.6175 + 9.80009i −1.22840 + 0.724444i
\(184\) 9.08364 + 9.19443i 0.669655 + 0.677822i
\(185\) −2.95795 + 0.490118i −0.217473 + 0.0360342i
\(186\) −0.828290 + 3.18306i −0.0607331 + 0.233393i
\(187\) 22.3704 16.2530i 1.63588 1.18854i
\(188\) −7.49722 + 22.7607i −0.546791 + 1.66000i
\(189\) −4.51909 + 1.60824i −0.328715 + 0.116982i
\(190\) 2.51253 7.86919i 0.182278 0.570891i
\(191\) 6.00964 4.36626i 0.434843 0.315932i −0.348740 0.937220i \(-0.613390\pi\)
0.783582 + 0.621288i \(0.213390\pi\)
\(192\) 9.30131 10.2706i 0.671264 0.741218i
\(193\) 1.26933i 0.0913686i 0.998956 + 0.0456843i \(0.0145468\pi\)
−0.998956 + 0.0456843i \(0.985453\pi\)
\(194\) 11.2946 11.2491i 0.810908 0.807638i
\(195\) 5.02943 20.0793i 0.360165 1.43791i
\(196\) −7.26734 + 9.91811i −0.519096 + 0.708437i
\(197\) −3.31567 10.2046i −0.236232 0.727047i −0.996956 0.0779712i \(-0.975156\pi\)
0.760724 0.649076i \(-0.224844\pi\)
\(198\) −11.8404 17.5912i −0.841459 1.25015i
\(199\) 7.30187i 0.517615i 0.965929 + 0.258808i \(0.0833296\pi\)
−0.965929 + 0.258808i \(0.916670\pi\)
\(200\) 12.5478 6.52333i 0.887260 0.461269i
\(201\) −8.04271 7.10812i −0.567289 0.501368i
\(202\) −1.50112 2.96088i −0.105618 0.208327i
\(203\) −7.07174 + 2.29775i −0.496339 + 0.161270i
\(204\) −18.7251 + 4.08217i −1.31102 + 0.285809i
\(205\) 0.429099 0.0710997i 0.0299696 0.00496582i
\(206\) 12.6836 + 12.7350i 0.883711 + 0.887289i
\(207\) −13.6049 + 1.68485i −0.945604 + 0.117105i
\(208\) −12.7053 + 17.1934i −0.880955 + 1.19215i
\(209\) 7.67410 + 10.5625i 0.530828 + 0.730622i
\(210\) 4.64810 + 1.99004i 0.320749 + 0.137326i
\(211\) 13.4987 18.5794i 0.929289 1.27906i −0.0308478 0.999524i \(-0.509821\pi\)
0.960136 0.279532i \(-0.0901793\pi\)
\(212\) −3.00210 0.988871i −0.206185 0.0679160i
\(213\) 2.12598 + 0.203591i 0.145669 + 0.0139498i
\(214\) 9.09552 + 17.9405i 0.621757 + 1.22639i
\(215\) 3.44863 6.88921i 0.235195 0.469840i
\(216\) 2.61326 + 14.4627i 0.177810 + 0.984065i
\(217\) 1.17887 + 0.383038i 0.0800269 + 0.0260023i
\(218\) 0.480696 0.938725i 0.0325568 0.0635785i
\(219\) 8.45931 + 14.3440i 0.571628 + 0.969277i
\(220\) −3.42852 + 22.0873i −0.231151 + 1.48913i
\(221\) 28.1216 9.13727i 1.89166 0.614639i
\(222\) −2.53749 + 2.08536i −0.170305 + 0.139960i
\(223\) −15.8830 11.5397i −1.06361 0.772755i −0.0888541 0.996045i \(-0.528320\pi\)
−0.974752 + 0.223289i \(0.928320\pi\)
\(224\) −3.65503 3.72963i −0.244212 0.249197i
\(225\) −2.63669 + 14.7664i −0.175779 + 0.984430i
\(226\) 4.49582 8.77964i 0.299057 0.584013i
\(227\) −8.97114 + 12.3477i −0.595436 + 0.819547i −0.995281 0.0970357i \(-0.969064\pi\)
0.399845 + 0.916583i \(0.369064\pi\)
\(228\) −1.92745 8.84134i −0.127649 0.585532i
\(229\) 2.34896 + 7.22935i 0.155224 + 0.477729i 0.998183 0.0602473i \(-0.0191889\pi\)
−0.842960 + 0.537976i \(0.819189\pi\)
\(230\) 11.7338 + 8.43393i 0.773702 + 0.556117i
\(231\) −6.88350 + 4.05952i −0.452901 + 0.267097i
\(232\) 3.42752 + 22.5232i 0.225028 + 1.47872i
\(233\) 2.87386 8.84484i 0.188273 0.579445i −0.811716 0.584052i \(-0.801466\pi\)
0.999989 + 0.00460692i \(0.00146643\pi\)
\(234\) −6.22882 21.8030i −0.407191 1.42531i
\(235\) −4.00261 + 26.4916i −0.261102 + 1.72812i
\(236\) 0.0268306 6.64000i 0.00174653 0.432227i
\(237\) −0.519012 + 5.41972i −0.0337134 + 0.352049i
\(238\) 1.11545 + 7.13597i 0.0723040 + 0.462556i
\(239\) −3.25779 2.36692i −0.210729 0.153103i 0.477415 0.878678i \(-0.341574\pi\)
−0.688143 + 0.725575i \(0.741574\pi\)
\(240\) 8.32952 13.0621i 0.537668 0.843157i
\(241\) 19.1620 13.9220i 1.23433 0.896796i 0.237127 0.971479i \(-0.423794\pi\)
0.997207 + 0.0746822i \(0.0237942\pi\)
\(242\) −13.9520 14.0085i −0.896869 0.900501i
\(243\) −13.8458 7.16193i −0.888210 0.459438i
\(244\) 21.2139 6.79815i 1.35808 0.435207i
\(245\) −6.15358 + 12.2928i −0.393138 + 0.785357i
\(246\) 0.368105 0.302516i 0.0234695 0.0192877i
\(247\) 4.31429 + 13.2780i 0.274511 + 0.844859i
\(248\) 1.74468 3.37342i 0.110787 0.214213i
\(249\) 4.44660 5.03124i 0.281792 0.318842i
\(250\) 12.6095 9.53947i 0.797492 0.603329i
\(251\) 17.7900 1.12290 0.561448 0.827512i \(-0.310245\pi\)
0.561448 + 0.827512i \(0.310245\pi\)
\(252\) 5.49950 0.658515i 0.346436 0.0414826i
\(253\) −21.7212 + 7.05764i −1.36560 + 0.443710i
\(254\) −17.5477 2.81564i −1.10104 0.176669i
\(255\) −19.8755 + 8.00521i −1.24465 + 0.501306i
\(256\) −13.0946 + 9.19413i −0.818411 + 0.574633i
\(257\) 29.9823 1.87025 0.935123 0.354324i \(-0.115289\pi\)
0.935123 + 0.354324i \(0.115289\pi\)
\(258\) −0.502585 8.42452i −0.0312896 0.524487i
\(259\) 0.727560 + 1.00140i 0.0452084 + 0.0622240i
\(260\) −10.7855 + 21.3301i −0.668889 + 1.32283i
\(261\) −21.1470 11.6932i −1.30896 0.723790i
\(262\) 1.38147 + 8.83777i 0.0853474 + 0.545999i
\(263\) −1.65049 2.27170i −0.101773 0.140079i 0.755093 0.655618i \(-0.227592\pi\)
−0.856866 + 0.515539i \(0.827592\pi\)
\(264\) 8.84751 + 22.8309i 0.544527 + 1.40514i
\(265\) −3.49419 0.527938i −0.214647 0.0324310i
\(266\) −3.36935 + 0.526676i −0.206588 + 0.0322926i
\(267\) 3.80142 + 6.44585i 0.232643 + 0.394480i
\(268\) 7.24450 + 10.0564i 0.442528 + 0.614293i
\(269\) −6.77105 2.20005i −0.412838 0.134139i 0.0952315 0.995455i \(-0.469641\pi\)
−0.508070 + 0.861316i \(0.669641\pi\)
\(270\) 5.58812 + 15.4523i 0.340082 + 0.940396i
\(271\) −23.3369 + 7.58261i −1.41761 + 0.460611i −0.914843 0.403809i \(-0.867686\pi\)
−0.502771 + 0.864420i \(0.667686\pi\)
\(272\) 22.1291 + 0.178839i 1.34177 + 0.0108437i
\(273\) −8.34203 + 1.85394i −0.504883 + 0.112206i
\(274\) 6.00200 11.7210i 0.362594 0.708090i
\(275\) 0.356033 + 24.9876i 0.0214696 + 1.50681i
\(276\) 15.7512 + 1.57265i 0.948114 + 0.0946625i
\(277\) −5.12274 + 7.05084i −0.307795 + 0.423644i −0.934692 0.355458i \(-0.884325\pi\)
0.626897 + 0.779102i \(0.284325\pi\)
\(278\) −2.53548 + 15.8017i −0.152068 + 0.947724i
\(279\) 1.70622 + 3.64907i 0.102149 + 0.218464i
\(280\) −4.72700 3.42670i −0.282492 0.204784i
\(281\) −3.00373 0.975970i −0.179187 0.0582215i 0.218049 0.975938i \(-0.430031\pi\)
−0.397236 + 0.917716i \(0.630031\pi\)
\(282\) 10.7156 + 27.3233i 0.638107 + 1.62708i
\(283\) −1.89969 + 5.84664i −0.112925 + 0.347547i −0.991509 0.130042i \(-0.958489\pi\)
0.878584 + 0.477588i \(0.158489\pi\)
\(284\) −2.34230 0.771537i −0.138990 0.0457823i
\(285\) −3.77977 9.38449i −0.223894 0.555889i
\(286\) −17.0825 33.6944i −1.01011 1.99239i
\(287\) −0.105545 0.145270i −0.00623010 0.00857500i
\(288\) 0.745906 16.9542i 0.0439529 0.999034i
\(289\) −11.0091 7.99854i −0.647591 0.470503i
\(290\) 7.99470 + 24.1845i 0.469465 + 1.42016i
\(291\) 1.86113 19.4346i 0.109101 1.13928i
\(292\) −5.86808 18.3115i −0.343403 1.07160i
\(293\) −4.90224 −0.286392 −0.143196 0.989694i \(-0.545738\pi\)
−0.143196 + 0.989694i \(0.545738\pi\)
\(294\) 0.896790 + 15.0323i 0.0523018 + 0.876703i
\(295\) −1.21354 7.32395i −0.0706553 0.426417i
\(296\) 3.38957 1.70127i 0.197015 0.0988844i
\(297\) −24.9125 7.33712i −1.44557 0.425743i
\(298\) −5.37436 10.6007i −0.311328 0.614080i
\(299\) −24.4228 −1.41241
\(300\) 6.73575 15.9571i 0.388889 0.921285i
\(301\) −3.18056 −0.183325
\(302\) −8.52844 16.8219i −0.490757 0.967994i
\(303\) −3.72937 1.61927i −0.214247 0.0930245i
\(304\) −0.0844414 + 10.4485i −0.00484305 + 0.599265i
\(305\) 22.1102 11.4648i 1.26603 0.656474i
\(306\) −14.4690 + 18.4822i −0.827138 + 1.05656i
\(307\) −19.7919 −1.12958 −0.564792 0.825233i \(-0.691044\pi\)
−0.564792 + 0.825233i \(0.691044\pi\)
\(308\) 8.78748 2.81602i 0.500713 0.160458i
\(309\) 21.9130 + 2.09846i 1.24659 + 0.119377i
\(310\) 1.29151 4.04498i 0.0733528 0.229739i
\(311\) −4.54758 3.30401i −0.257869 0.187353i 0.451338 0.892353i \(-0.350947\pi\)
−0.709207 + 0.705000i \(0.750947\pi\)
\(312\) 1.45363 + 26.1428i 0.0822953 + 1.48004i
\(313\) 3.59609 + 4.94959i 0.203263 + 0.279768i 0.898463 0.439048i \(-0.144684\pi\)
−0.695200 + 0.718816i \(0.744684\pi\)
\(314\) 2.94124 + 5.80145i 0.165984 + 0.327395i
\(315\) 5.93852 1.75544i 0.334598 0.0989080i
\(316\) 1.96687 5.97119i 0.110645 0.335906i
\(317\) 4.61467 14.2025i 0.259186 0.797692i −0.733790 0.679376i \(-0.762251\pi\)
0.992976 0.118316i \(-0.0377495\pi\)
\(318\) −3.60390 + 1.41337i −0.202097 + 0.0792581i
\(319\) −38.2879 12.4405i −2.14371 0.696535i
\(320\) −12.7122 + 12.5857i −0.710632 + 0.703563i
\(321\) 22.5969 + 9.81142i 1.26124 + 0.547620i
\(322\) 0.945132 5.89028i 0.0526702 0.328253i
\(323\) 8.49465 11.6919i 0.472655 0.650554i
\(324\) 13.7661 + 11.5972i 0.764784 + 0.644286i
\(325\) −7.89497 + 25.5302i −0.437934 + 1.41616i
\(326\) −6.82053 + 13.3195i −0.377754 + 0.737697i
\(327\) −0.280225 1.26091i −0.0154965 0.0697282i
\(328\) −0.491713 + 0.246798i −0.0271503 + 0.0136271i
\(329\) 10.5195 3.41798i 0.579956 0.188439i
\(330\) 14.0265 + 23.5089i 0.772131 + 1.29412i
\(331\) 26.4114 + 8.58159i 1.45170 + 0.471687i 0.925525 0.378687i \(-0.123624\pi\)
0.526179 + 0.850374i \(0.323624\pi\)
\(332\) −6.29094 + 4.53191i −0.345260 + 0.248721i
\(333\) −0.763439 + 3.94950i −0.0418362 + 0.216431i
\(334\) −19.0424 + 2.97659i −1.04195 + 0.162872i
\(335\) 9.86796 + 9.72836i 0.539144 + 0.531517i
\(336\) −6.36137 0.661110i −0.347041 0.0360665i
\(337\) −13.9377 19.1835i −0.759232 1.04499i −0.997278 0.0737395i \(-0.976507\pi\)
0.238045 0.971254i \(-0.423493\pi\)
\(338\) −3.39953 21.7481i −0.184910 1.18294i
\(339\) −2.62087 11.7929i −0.142346 0.640503i
\(340\) 24.4252 3.94580i 1.32464 0.213991i
\(341\) 3.94470 + 5.42941i 0.213617 + 0.294019i
\(342\) −8.72661 6.83175i −0.471881 0.369418i
\(343\) 12.1372 0.655345
\(344\) −1.58278 + 9.61569i −0.0853377 + 0.518443i
\(345\) 17.6562 1.21544i 0.950578 0.0654371i
\(346\) 13.0131 + 2.08803i 0.699589 + 0.112253i
\(347\) 16.8095 5.46175i 0.902383 0.293202i 0.179163 0.983819i \(-0.442661\pi\)
0.723220 + 0.690617i \(0.242661\pi\)
\(348\) 20.8327 + 18.5624i 1.11675 + 0.995049i
\(349\) 33.8546 1.81219 0.906096 0.423071i \(-0.139048\pi\)
0.906096 + 0.423071i \(0.139048\pi\)
\(350\) −5.85186 2.89210i −0.312795 0.154589i
\(351\) −22.9117 15.6942i −1.22294 0.837692i
\(352\) −4.14058 27.9683i −0.220693 1.49071i
\(353\) 8.01491 + 24.6673i 0.426590 + 1.31291i 0.901463 + 0.432856i \(0.142494\pi\)
−0.474873 + 0.880055i \(0.657506\pi\)
\(354\) −5.16341 6.28289i −0.274432 0.333932i
\(355\) −2.72624 0.411908i −0.144694 0.0218618i
\(356\) −2.63698 8.22877i −0.139760 0.436124i
\(357\) 6.62822 + 5.85800i 0.350802 + 0.310038i
\(358\) 17.1509 + 17.2203i 0.906451 + 0.910121i
\(359\) 11.7524 8.53862i 0.620268 0.450651i −0.232747 0.972537i \(-0.574772\pi\)
0.853015 + 0.521886i \(0.174772\pi\)
\(360\) −2.35192 18.8273i −0.123957 0.992288i
\(361\) −9.85084 7.15705i −0.518465 0.376687i
\(362\) −0.144086 0.921772i −0.00757298 0.0484472i
\(363\) −24.1043 2.30831i −1.26515 0.121155i
\(364\) 9.86748 + 0.0398721i 0.517197 + 0.00208987i
\(365\) −9.89630 19.0852i −0.517996 0.998967i
\(366\) 14.6937 22.9883i 0.768049 1.20162i
\(367\) 3.26231 10.0404i 0.170291 0.524102i −0.829096 0.559106i \(-0.811144\pi\)
0.999387 + 0.0350041i \(0.0111444\pi\)
\(368\) −17.3376 5.78864i −0.903784 0.301754i
\(369\) 0.110749 0.572941i 0.00576538 0.0298261i
\(370\) 3.41764 2.50981i 0.177674 0.130479i
\(371\) 0.450826 + 1.38750i 0.0234057 + 0.0720354i
\(372\) −0.990763 4.54469i −0.0513687 0.235631i
\(373\) 16.2173 22.3212i 0.839699 1.15575i −0.146340 0.989234i \(-0.546750\pi\)
0.986039 0.166512i \(-0.0532505\pi\)
\(374\) −17.8236 + 34.8067i −0.921636 + 1.79981i
\(375\) 4.43703 18.8497i 0.229127 0.973396i
\(376\) −5.09856 33.5041i −0.262938 1.72784i
\(377\) −34.8282 25.3042i −1.79375 1.30323i
\(378\) 4.67177 4.91850i 0.240290 0.252981i
\(379\) −5.89230 + 1.91452i −0.302667 + 0.0983425i −0.456413 0.889768i \(-0.650866\pi\)
0.153746 + 0.988110i \(0.450866\pi\)
\(380\) 1.86306 + 11.5327i 0.0955731 + 0.591614i
\(381\) −18.7488 + 11.0570i −0.960528 + 0.566468i
\(382\) −4.78818 + 9.35058i −0.244985 + 0.478418i
\(383\) 27.4308 + 8.91280i 1.40165 + 0.455423i 0.909723 0.415216i \(-0.136294\pi\)
0.491924 + 0.870638i \(0.336294\pi\)
\(384\) −5.16439 + 18.9031i −0.263544 + 0.964647i
\(385\) 9.15877 4.74911i 0.466774 0.242037i
\(386\) −0.811728 1.60110i −0.0413159 0.0814936i
\(387\) −7.05716 7.55209i −0.358735 0.383894i
\(388\) −7.05299 + 21.4121i −0.358061 + 1.08703i
\(389\) 3.59303 4.94539i 0.182174 0.250741i −0.708157 0.706055i \(-0.750473\pi\)
0.890331 + 0.455314i \(0.150473\pi\)
\(390\) 6.49662 + 28.5437i 0.328969 + 1.44537i
\(391\) 14.8598 + 20.4528i 0.751494 + 1.03434i
\(392\) 2.82424 17.1578i 0.142646 0.866600i
\(393\) 8.20893 + 7.25503i 0.414086 + 0.365968i
\(394\) 10.7080 + 10.7514i 0.539463 + 0.541648i
\(395\) 1.05007 6.94996i 0.0528348 0.349690i
\(396\) 26.1845 + 14.6172i 1.31582 + 0.734540i
\(397\) −4.07817 + 1.32508i −0.204677 + 0.0665037i −0.409561 0.912283i \(-0.634318\pi\)
0.204884 + 0.978786i \(0.434318\pi\)
\(398\) −4.66949 9.21034i −0.234060 0.461673i
\(399\) −2.76594 + 3.12960i −0.138470 + 0.156676i
\(400\) −11.6557 + 16.2525i −0.582786 + 0.812626i
\(401\) 30.8854i 1.54234i −0.636629 0.771170i \(-0.719672\pi\)
0.636629 0.771170i \(-0.280328\pi\)
\(402\) 14.6904 + 3.82271i 0.732691 + 0.190660i
\(403\) 2.21766 + 6.82526i 0.110470 + 0.339991i
\(404\) 3.78692 + 2.77480i 0.188406 + 0.138052i
\(405\) 17.3449 + 10.2057i 0.861873 + 0.507125i
\(406\) 7.45068 7.42063i 0.369771 0.368280i
\(407\) 6.70171i 0.332192i
\(408\) 21.0088 17.1237i 1.04009 0.847750i
\(409\) −20.0028 + 14.5329i −0.989076 + 0.718606i −0.959718 0.280963i \(-0.909346\pi\)
−0.0293572 + 0.999569i \(0.509346\pi\)
\(410\) −0.495784 + 0.364089i −0.0244850 + 0.0179811i
\(411\) −3.49891 15.7437i −0.172588 0.776582i
\(412\) −24.1427 7.95242i −1.18942 0.391788i
\(413\) −2.47949 + 1.80146i −0.122008 + 0.0886438i
\(414\) 16.0833 10.8254i 0.790451 0.532041i
\(415\) −6.08572 + 6.17305i −0.298736 + 0.303023i
\(416\) 5.03101 29.8122i 0.246665 1.46166i
\(417\) 9.95686 + 16.8833i 0.487590 + 0.826778i
\(418\) −16.4345 8.41566i −0.803837 0.411623i
\(419\) 0.137486 0.423138i 0.00671662 0.0206716i −0.947642 0.319335i \(-0.896541\pi\)
0.954359 + 0.298663i \(0.0965406\pi\)
\(420\) −7.13558 + 0.462247i −0.348181 + 0.0225553i
\(421\) −10.6644 32.8217i −0.519752 1.59963i −0.774465 0.632617i \(-0.781981\pi\)
0.254713 0.967017i \(-0.418019\pi\)
\(422\) −5.14546 + 32.0677i −0.250477 + 1.56103i
\(423\) 31.4568 + 17.3940i 1.52948 + 0.845725i
\(424\) 4.41913 0.672491i 0.214612 0.0326591i
\(425\) 26.1839 8.92204i 1.27010 0.432783i
\(426\) −2.81183 + 1.10274i −0.136234 + 0.0534280i
\(427\) −8.31836 6.04364i −0.402554 0.292472i
\(428\) −22.9456 16.8130i −1.10912 0.812688i
\(429\) −42.4397 18.4270i −2.04901 0.889666i
\(430\) 0.0556025 + 10.8952i 0.00268139 + 0.525413i
\(431\) −9.02357 + 27.7717i −0.434650 + 1.33772i 0.458795 + 0.888542i \(0.348281\pi\)
−0.893445 + 0.449173i \(0.851719\pi\)
\(432\) −12.5451 16.5717i −0.603576 0.797305i
\(433\) −6.58623 2.14000i −0.316514 0.102842i 0.146452 0.989218i \(-0.453215\pi\)
−0.462966 + 0.886376i \(0.653215\pi\)
\(434\) −1.73194 + 0.270726i −0.0831357 + 0.0129953i
\(435\) 26.4380 + 16.5601i 1.26761 + 0.793997i
\(436\) −0.00602670 + 1.49148i −0.000288627 + 0.0714289i
\(437\) −9.65708 + 7.01628i −0.461961 + 0.335634i
\(438\) −19.8432 12.6834i −0.948144 0.606035i
\(439\) −4.07118 + 5.60350i −0.194307 + 0.267440i −0.895043 0.445980i \(-0.852855\pi\)
0.700736 + 0.713421i \(0.252855\pi\)
\(440\) −9.80006 30.0528i −0.467200 1.43271i
\(441\) 12.5925 + 13.4756i 0.599641 + 0.641696i
\(442\) −29.6285 + 29.5090i −1.40928 + 1.40360i
\(443\) 26.2813i 1.24866i −0.781159 0.624332i \(-0.785371\pi\)
0.781159 0.624332i \(-0.214629\pi\)
\(444\) 1.86714 4.25312i 0.0886104 0.201844i
\(445\) −4.44716 8.57646i −0.210816 0.406563i
\(446\) 27.4139 + 4.39873i 1.29809 + 0.208286i
\(447\) −13.3520 5.79737i −0.631530 0.274206i
\(448\) 6.99541 + 2.36708i 0.330502 + 0.111834i
\(449\) 7.06911i 0.333612i 0.985990 + 0.166806i \(0.0533453\pi\)
−0.985990 + 0.166806i \(0.946655\pi\)
\(450\) −6.11719 20.3121i −0.288367 0.957520i
\(451\) 0.972194i 0.0457788i
\(452\) −0.0563661 + 13.9494i −0.00265124 + 0.656125i
\(453\) −21.1880 9.19971i −0.995501 0.432240i
\(454\) 3.41964 21.3120i 0.160492 1.00022i
\(455\) 10.8839 1.80341i 0.510244 0.0845450i
\(456\) 8.08519 + 9.91959i 0.378624 + 0.464527i
\(457\) 39.0800i 1.82809i −0.405616 0.914044i \(-0.632943\pi\)
0.405616 0.914044i \(-0.367057\pi\)
\(458\) −7.58602 7.61673i −0.354471 0.355907i
\(459\) 0.797406 + 28.7364i 0.0372197 + 1.34130i
\(460\) −20.1940 3.13463i −0.941552 0.146153i
\(461\) −20.1596 + 27.7474i −0.938928 + 1.29232i 0.0173453 + 0.999850i \(0.494479\pi\)
−0.956273 + 0.292474i \(0.905521\pi\)
\(462\) 6.08660 9.52250i 0.283174 0.443027i
\(463\) 33.6165 24.4238i 1.56229 1.13507i 0.628191 0.778059i \(-0.283795\pi\)
0.934100 0.357012i \(-0.116205\pi\)
\(464\) −18.7268 26.2182i −0.869370 1.21715i
\(465\) −1.94291 4.82389i −0.0901002 0.223703i
\(466\) 2.03121 + 12.9944i 0.0940940 + 0.601955i
\(467\) −6.92581 2.25033i −0.320488 0.104133i 0.144355 0.989526i \(-0.453889\pi\)
−0.464843 + 0.885393i \(0.653889\pi\)
\(468\) 21.7997 + 23.5183i 1.00769 + 1.08714i
\(469\) 1.76779 5.44070i 0.0816290 0.251228i
\(470\) −11.8924 35.9753i −0.548555 1.65941i
\(471\) 7.30721 + 3.17274i 0.336699 + 0.146192i
\(472\) 4.21239 + 8.39265i 0.193891 + 0.386303i
\(473\) −13.9315 10.1218i −0.640570 0.465401i
\(474\) −2.81121 7.16817i −0.129123 0.329245i
\(475\) 4.21267 + 12.3631i 0.193290 + 0.567257i
\(476\) −5.97039 8.28776i −0.273653 0.379869i
\(477\) −2.29424 + 4.14910i −0.105046 + 0.189974i
\(478\) 5.62289 + 0.902228i 0.257185 + 0.0412669i
\(479\) 8.70449 + 26.7897i 0.397718 + 1.22405i 0.926824 + 0.375495i \(0.122527\pi\)
−0.529106 + 0.848556i \(0.677473\pi\)
\(480\) −2.15346 + 21.8028i −0.0982916 + 0.995158i
\(481\) −2.21455 + 6.81570i −0.100975 + 0.310769i
\(482\) −15.2673 + 29.8148i −0.695408 + 1.35803i
\(483\) −3.71154 6.29345i −0.168881 0.286362i
\(484\) 26.5570 + 8.74767i 1.20713 + 0.397622i
\(485\) −3.76545 + 24.9219i −0.170980 + 1.13164i
\(486\) 22.0447 + 0.179529i 0.999967 + 0.00814362i
\(487\) 4.28512 3.11332i 0.194177 0.141078i −0.486449 0.873709i \(-0.661708\pi\)
0.680626 + 0.732631i \(0.261708\pi\)
\(488\) −22.4111 + 22.1411i −1.01450 + 1.00228i
\(489\) 3.97608 + 17.8908i 0.179804 + 0.809052i
\(490\) −0.0992145 19.4409i −0.00448205 0.878250i
\(491\) 3.44005 2.49935i 0.155247 0.112794i −0.507450 0.861681i \(-0.669412\pi\)
0.662697 + 0.748888i \(0.269412\pi\)
\(492\) −0.270859 + 0.616985i −0.0122113 + 0.0278158i
\(493\) 44.5630i 2.00701i
\(494\) −13.9331 13.9895i −0.626879 0.629418i
\(495\) 31.5984 + 11.2096i 1.42024 + 0.503832i
\(496\) −0.0434052 + 5.37084i −0.00194895 + 0.241158i
\(497\) 0.351743 + 1.08255i 0.0157778 + 0.0485592i
\(498\) −2.39136 + 9.18981i −0.107159 + 0.411805i
\(499\) 10.6074i 0.474853i −0.971405 0.237427i \(-0.923696\pi\)
0.971405 0.237427i \(-0.0763040\pi\)
\(500\) −9.80475 + 20.0964i −0.438482 + 0.898740i
\(501\) −15.6321 + 17.6874i −0.698391 + 0.790216i
\(502\) −22.4397 + 11.3766i −1.00153 + 0.507761i
\(503\) 13.4727 4.37753i 0.600716 0.195185i 0.00715644 0.999974i \(-0.497722\pi\)
0.593560 + 0.804790i \(0.297722\pi\)
\(504\) −6.51577 + 4.34752i −0.290236 + 0.193654i
\(505\) 4.69361 + 2.34955i 0.208863 + 0.104554i
\(506\) 22.8851 22.7928i 1.01737 1.01326i
\(507\) −20.2006 17.8533i −0.897141 0.792891i
\(508\) 23.9347 7.67006i 1.06193 0.340304i
\(509\) −16.2531 22.3704i −0.720404 0.991552i −0.999510 0.0312914i \(-0.990038\pi\)
0.279106 0.960260i \(-0.409962\pi\)
\(510\) 19.9511 22.8078i 0.883447 1.00994i
\(511\) −5.21679 + 7.18030i −0.230777 + 0.317638i
\(512\) 10.6375 19.9711i 0.470116 0.882605i
\(513\) −13.5683 + 0.376507i −0.599054 + 0.0166232i
\(514\) −37.8187 + 19.1735i −1.66811 + 0.845705i
\(515\) −28.1000 4.24564i −1.23823 0.187085i
\(516\) 6.02136 + 10.3050i 0.265076 + 0.453653i
\(517\) 56.9546 + 18.5057i 2.50486 + 0.813879i
\(518\) −1.55811 0.797865i −0.0684594 0.0350562i
\(519\) 13.9038 8.19972i 0.610309 0.359928i
\(520\) −0.0359188 33.8023i −0.00157514 1.48233i
\(521\) −15.3766 + 4.99617i −0.673662 + 0.218886i −0.625819 0.779969i \(-0.715235\pi\)
−0.0478438 + 0.998855i \(0.515235\pi\)
\(522\) 34.1518 + 1.22609i 1.49478 + 0.0536643i
\(523\) −11.0818 8.05138i −0.484572 0.352062i 0.318521 0.947916i \(-0.396814\pi\)
−0.803093 + 0.595854i \(0.796814\pi\)
\(524\) −7.39423 10.2642i −0.323018 0.448396i
\(525\) −7.77864 + 1.84541i −0.339488 + 0.0805402i
\(526\) 3.53461 + 1.80998i 0.154116 + 0.0789187i
\(527\) 4.36649 6.00995i 0.190207 0.261798i
\(528\) −25.7601 23.1402i −1.12107 1.00705i
\(529\) 0.654730 + 2.01505i 0.0284665 + 0.0876110i
\(530\) 4.74508 1.56859i 0.206113 0.0681350i
\(531\) −9.77907 1.89029i −0.424375 0.0820317i
\(532\) 3.91318 2.81900i 0.169658 0.122219i
\(533\) 0.321258 0.988729i 0.0139152 0.0428266i
\(534\) −8.91706 5.69961i −0.385879 0.246646i
\(535\) −28.4394 14.2363i −1.22954 0.615490i
\(536\) −15.5690 8.05203i −0.672478 0.347795i
\(537\) 29.6308 + 2.83755i 1.27866 + 0.122449i
\(538\) 9.94770 1.55497i 0.428876 0.0670393i
\(539\) 24.8587 + 18.0609i 1.07074 + 0.777938i
\(540\) −16.9303 15.9174i −0.728564 0.684978i
\(541\) 10.4137 7.56601i 0.447721 0.325288i −0.340975 0.940073i \(-0.610757\pi\)
0.788695 + 0.614784i \(0.210757\pi\)
\(542\) 24.5874 24.4882i 1.05612 1.05186i
\(543\) −0.856184 0.756693i −0.0367424 0.0324728i
\(544\) −28.0272 + 13.9258i −1.20166 + 0.597063i
\(545\) 0.272586 + 1.64511i 0.0116763 + 0.0704687i
\(546\) 9.33679 7.67317i 0.399578 0.328381i
\(547\) 4.18948 + 12.8939i 0.179129 + 0.551304i 0.999798 0.0201009i \(-0.00639873\pi\)
−0.820669 + 0.571405i \(0.806399\pi\)
\(548\) −0.0752498 + 18.6227i −0.00321451 + 0.795522i
\(549\) −4.10677 33.1614i −0.175273 1.41529i
\(550\) −16.4285 31.2909i −0.700512 1.33425i
\(551\) −21.0410 −0.896378
\(552\) −20.8738 + 8.08911i −0.888449 + 0.344295i
\(553\) −2.75974 + 0.896693i −0.117356 + 0.0381313i
\(554\) 1.95270 12.1697i 0.0829622 0.517039i
\(555\) 1.26179 5.03755i 0.0535602 0.213832i
\(556\) −6.90690 21.5532i −0.292918 0.914060i
\(557\) 11.1872 0.474018 0.237009 0.971508i \(-0.423833\pi\)
0.237009 + 0.971508i \(0.423833\pi\)
\(558\) −4.48572 3.51171i −0.189896 0.148662i
\(559\) −10.8237 14.8976i −0.457794 0.630100i
\(560\) 8.15383 + 1.29945i 0.344562 + 0.0549117i
\(561\) 10.3904 + 46.7528i 0.438683 + 1.97391i
\(562\) 4.41293 0.689803i 0.186148 0.0290976i
\(563\) −2.77681 3.82195i −0.117029 0.161076i 0.746484 0.665404i \(-0.231741\pi\)
−0.863513 + 0.504327i \(0.831741\pi\)
\(564\) −30.9894 27.6122i −1.30489 1.16268i
\(565\) 2.54943 + 15.3862i 0.107255 + 0.647304i
\(566\) −1.34267 8.58960i −0.0564368 0.361048i
\(567\) 0.562287 8.28912i 0.0236138 0.348110i
\(568\) 3.44789 0.524690i 0.144670 0.0220155i
\(569\) −19.6288 6.37780i −0.822884 0.267371i −0.132839 0.991138i \(-0.542409\pi\)
−0.690045 + 0.723767i \(0.742409\pi\)
\(570\) 10.7690 + 9.42017i 0.451064 + 0.394567i
\(571\) −16.0774 + 5.22386i −0.672818 + 0.218612i −0.625448 0.780266i \(-0.715084\pi\)
−0.0473695 + 0.998877i \(0.515084\pi\)
\(572\) 43.0946 + 31.5769i 1.80188 + 1.32030i
\(573\) 2.79130 + 12.5598i 0.116608 + 0.524694i
\(574\) 0.226029 + 0.115744i 0.00943428 + 0.00483104i
\(575\) −22.8457 + 0.325514i −0.952731 + 0.0135749i
\(576\) 9.90120 + 21.8624i 0.412550 + 0.910935i
\(577\) 11.8737 16.3428i 0.494309 0.680358i −0.486867 0.873476i \(-0.661860\pi\)
0.981175 + 0.193119i \(0.0618602\pi\)
\(578\) 19.0015 + 3.04890i 0.790357 + 0.126818i
\(579\) −2.01666 0.875619i −0.0838094 0.0363895i
\(580\) −25.5501 25.3930i −1.06091 1.05439i
\(581\) 3.40351 + 1.10587i 0.141202 + 0.0458792i
\(582\) 10.0807 + 25.7043i 0.417859 + 1.06548i
\(583\) −2.44087 + 7.51222i −0.101090 + 0.311124i
\(584\) 19.1119 + 19.3450i 0.790856 + 0.800501i
\(585\) 28.4317 + 21.8418i 1.17551 + 0.903046i
\(586\) 6.18352 3.13494i 0.255439 0.129503i
\(587\) −4.51243 6.21083i −0.186248 0.256348i 0.705675 0.708536i \(-0.250644\pi\)
−0.891923 + 0.452187i \(0.850644\pi\)
\(588\) −10.7442 18.3878i −0.443085 0.758300i
\(589\) 2.83768 + 2.06170i 0.116925 + 0.0849507i
\(590\) 6.21434 + 8.46215i 0.255840 + 0.348381i
\(591\) 18.4998 + 1.77161i 0.760981 + 0.0728743i
\(592\) −3.18754 + 4.31353i −0.131007 + 0.177285i
\(593\) 20.3288 0.834805 0.417403 0.908722i \(-0.362940\pi\)
0.417403 + 0.908722i \(0.362940\pi\)
\(594\) 36.1159 6.67657i 1.48185 0.273943i
\(595\) −8.13246 8.01741i −0.333398 0.328682i
\(596\) 13.5581 + 9.93448i 0.555361 + 0.406932i
\(597\) −11.6009 5.03702i −0.474792 0.206152i
\(598\) 30.8061 15.6182i 1.25976 0.638675i
\(599\) 38.9972 1.59338 0.796691 0.604387i \(-0.206582\pi\)
0.796691 + 0.604387i \(0.206582\pi\)
\(600\) 1.70820 + 24.4353i 0.0697369 + 0.997565i
\(601\) −38.8308 −1.58394 −0.791970 0.610559i \(-0.790945\pi\)
−0.791970 + 0.610559i \(0.790945\pi\)
\(602\) 4.01186 2.03394i 0.163511 0.0828974i
\(603\) 16.8411 7.87451i 0.685824 0.320675i
\(604\) 21.5150 + 15.7648i 0.875433 + 0.641460i
\(605\) 30.9101 + 4.67020i 1.25667 + 0.189871i
\(606\) 5.73962 0.342411i 0.233156 0.0139095i
\(607\) 44.2930 1.79780 0.898899 0.438156i \(-0.144368\pi\)
0.898899 + 0.438156i \(0.144368\pi\)
\(608\) −6.57525 13.2335i −0.266662 0.536687i
\(609\) 1.22772 12.8203i 0.0497497 0.519505i
\(610\) −20.5574 + 28.6007i −0.832346 + 1.15801i
\(611\) 51.8082 + 37.6409i 2.09594 + 1.52279i
\(612\) 6.43155 32.5656i 0.259980 1.31639i
\(613\) −9.40630 12.9467i −0.379917 0.522911i 0.575646 0.817699i \(-0.304751\pi\)
−0.955562 + 0.294789i \(0.904751\pi\)
\(614\) 24.9649 12.6568i 1.00750 0.510786i
\(615\) −0.183044 + 0.730780i −0.00738105 + 0.0294679i
\(616\) −9.28342 + 9.17156i −0.374040 + 0.369533i
\(617\) −12.5200 + 38.5326i −0.504036 + 1.55126i 0.298349 + 0.954457i \(0.403564\pi\)
−0.802385 + 0.596806i \(0.796436\pi\)
\(618\) −28.9823 + 11.3662i −1.16584 + 0.457217i
\(619\) −5.37420 1.74618i −0.216007 0.0701851i 0.199014 0.979997i \(-0.436226\pi\)
−0.415022 + 0.909812i \(0.636226\pi\)
\(620\) 0.957666 + 5.92812i 0.0384608 + 0.238079i
\(621\) 6.70819 22.7770i 0.269190 0.914011i
\(622\) 7.84906 + 1.25943i 0.314719 + 0.0504985i
\(623\) −2.34431 + 3.22666i −0.0939226 + 0.129273i
\(624\) −18.5517 32.0461i −0.742662 1.28287i
\(625\) −7.04487 + 23.9869i −0.281795 + 0.959475i
\(626\) −7.70122 3.94359i −0.307803 0.157617i
\(627\) −22.0750 + 4.90597i −0.881590 + 0.195925i
\(628\) −7.41997 5.43687i −0.296089 0.216955i
\(629\) 7.05522 2.29238i 0.281310 0.0914031i
\(630\) −6.36807 + 6.01190i −0.253710 + 0.239520i
\(631\) −16.7740 5.45019i −0.667761 0.216969i −0.0445317 0.999008i \(-0.514180\pi\)
−0.623229 + 0.782039i \(0.714180\pi\)
\(632\) 1.33759 + 8.78966i 0.0532063 + 0.349634i
\(633\) 20.2063 + 34.2626i 0.803127 + 1.36182i
\(634\) 3.26159 + 20.8656i 0.129534 + 0.828680i
\(635\) 24.9460 12.9353i 0.989951 0.513321i
\(636\) 3.64200 4.08745i 0.144415 0.162078i
\(637\) 19.3133 + 26.5825i 0.765222 + 1.05324i
\(638\) 56.2508 8.79279i 2.22699 0.348110i
\(639\) −1.79001 + 3.23721i −0.0708117 + 0.128062i
\(640\) 7.98626 24.0046i 0.315685 0.948864i
\(641\) 10.3972 + 14.3106i 0.410666 + 0.565233i 0.963381 0.268137i \(-0.0864081\pi\)
−0.552715 + 0.833370i \(0.686408\pi\)
\(642\) −34.7773 + 2.07473i −1.37255 + 0.0818829i
\(643\) −26.2783 −1.03631 −0.518157 0.855286i \(-0.673382\pi\)
−0.518157 + 0.855286i \(0.673382\pi\)
\(644\) 2.57463 + 8.03422i 0.101455 + 0.316593i
\(645\) 8.56630 + 10.2314i 0.337298 + 0.402860i
\(646\) −3.23801 + 20.1800i −0.127398 + 0.793973i
\(647\) −38.8411 + 12.6202i −1.52700 + 0.496153i −0.947755 0.318999i \(-0.896653\pi\)
−0.579247 + 0.815152i \(0.696653\pi\)
\(648\) −24.7804 5.82495i −0.973467 0.228826i
\(649\) −16.5936 −0.651356
\(650\) −6.36794 37.2518i −0.249771 1.46114i
\(651\) −1.42177 + 1.60870i −0.0557235 + 0.0630501i
\(652\) 0.0855122 21.1624i 0.00334892 0.828784i
\(653\) 4.87211 + 14.9948i 0.190661 + 0.586793i 1.00000 0.000548626i \(-0.000174633\pi\)
−0.809339 + 0.587341i \(0.800175\pi\)
\(654\) 1.15981 + 1.41126i 0.0453520 + 0.0551848i
\(655\) −10.0719 9.92942i −0.393542 0.387975i
\(656\) 0.462405 0.625749i 0.0180539 0.0244314i
\(657\) −28.6245 + 3.54491i −1.11675 + 0.138300i
\(658\) −11.0831 + 11.0384i −0.432066 + 0.430323i
\(659\) −31.4418 + 22.8438i −1.22480 + 0.889868i −0.996489 0.0837207i \(-0.973320\pi\)
−0.228309 + 0.973589i \(0.573320\pi\)
\(660\) −32.7263 20.6835i −1.27387 0.805105i
\(661\) 5.35251 + 3.88883i 0.208189 + 0.151258i 0.686994 0.726663i \(-0.258930\pi\)
−0.478805 + 0.877921i \(0.658930\pi\)
\(662\) −38.8024 + 6.06536i −1.50810 + 0.235737i
\(663\) −4.88217 + 50.9815i −0.189608 + 1.97996i
\(664\) 5.03707 9.73941i 0.195476 0.377962i
\(665\) 3.78553 3.83985i 0.146797 0.148903i
\(666\) −1.56270 5.46999i −0.0605534 0.211958i
\(667\) 11.3741 35.0059i 0.440407 1.35543i
\(668\) 22.1159 15.9320i 0.855690 0.616428i
\(669\) 29.2903 17.2738i 1.13243 0.667845i
\(670\) −18.6683 5.96056i −0.721221 0.230276i
\(671\) −17.2028 52.9446i −0.664105 2.04391i
\(672\) 8.44681 3.23415i 0.325843 0.124760i
\(673\) −17.8348 + 24.5475i −0.687482 + 0.946237i −0.999993 0.00367657i \(-0.998830\pi\)
0.312512 + 0.949914i \(0.398830\pi\)
\(674\) 29.8482 + 15.2845i 1.14971 + 0.588736i
\(675\) −21.6414 14.3753i −0.832977 0.553307i
\(676\) 18.1958 + 25.2584i 0.699838 + 0.971476i
\(677\) 4.64218 + 3.37274i 0.178414 + 0.129625i 0.673408 0.739271i \(-0.264830\pi\)
−0.494994 + 0.868896i \(0.664830\pi\)
\(678\) 10.8474 + 13.1992i 0.416590 + 0.506911i
\(679\) 9.89615 3.21545i 0.379779 0.123398i
\(680\) −28.2858 + 20.5968i −1.08471 + 0.789852i
\(681\) −13.4290 22.7707i −0.514599 0.872576i
\(682\) −8.44778 4.32588i −0.323482 0.165647i
\(683\) 1.67068 + 0.542836i 0.0639267 + 0.0207711i 0.340806 0.940134i \(-0.389300\pi\)
−0.276879 + 0.960905i \(0.589300\pi\)
\(684\) 15.3763 + 3.03674i 0.587928 + 0.116113i
\(685\) 3.40353 + 20.5409i 0.130042 + 0.784828i
\(686\) −15.3094 + 7.76162i −0.584517 + 0.296340i
\(687\) −13.1060 1.25508i −0.500027 0.0478843i
\(688\) −4.15270 13.1411i −0.158320 0.501000i
\(689\) −4.96477 + 6.83342i −0.189143 + 0.260332i
\(690\) −21.4937 + 12.8241i −0.818251 + 0.488206i
\(691\) −8.59860 11.8350i −0.327106 0.450223i 0.613514 0.789684i \(-0.289755\pi\)
−0.940620 + 0.339461i \(0.889755\pi\)
\(692\) −17.7496 + 5.68800i −0.674738 + 0.216225i
\(693\) −1.70116 13.7366i −0.0646217 0.521809i
\(694\) −17.7103 + 17.6389i −0.672273 + 0.669562i
\(695\) −11.6482 22.4639i −0.441843 0.852104i
\(696\) −38.1483 10.0916i −1.44601 0.382522i
\(697\) −1.02348 + 0.332547i −0.0387669 + 0.0125961i
\(698\) −42.7031 + 21.6497i −1.61633 + 0.819454i
\(699\) 12.0698 + 10.6673i 0.456522 + 0.403473i
\(700\) 9.23082 0.0942195i 0.348892 0.00356116i
\(701\) 8.24525i 0.311419i 0.987803 + 0.155709i \(0.0497664\pi\)
−0.987803 + 0.155709i \(0.950234\pi\)
\(702\) 38.9364 + 5.14424i 1.46956 + 0.194157i
\(703\) 1.08238 + 3.33122i 0.0408227 + 0.125639i
\(704\) 23.1083 + 32.6304i 0.870927 + 1.22981i
\(705\) −39.3275 24.6338i −1.48116 0.927761i
\(706\) −25.8843 25.9891i −0.974170 0.978114i
\(707\) 2.16691i 0.0814952i
\(708\) 10.5308 + 4.62308i 0.395773 + 0.173746i
\(709\) 1.25716 0.913382i 0.0472137 0.0343028i −0.563928 0.825824i \(-0.690710\pi\)
0.611142 + 0.791521i \(0.290710\pi\)
\(710\) 3.70220 1.22384i 0.138941 0.0459299i
\(711\) −8.25257 4.56325i −0.309496 0.171135i
\(712\) 8.58844 + 8.69319i 0.321865 + 0.325791i
\(713\) −4.96400 + 3.60656i −0.185903 + 0.135067i
\(714\) −12.1068 3.15040i −0.453084 0.117901i
\(715\) 53.4126 + 26.7375i 1.99752 + 0.999927i
\(716\) −32.6458 10.7533i −1.22003 0.401869i
\(717\) 6.00776 3.54306i 0.224364 0.132318i
\(718\) −9.36372 + 18.2859i −0.349451 + 0.682424i
\(719\) −3.04338 + 9.36657i −0.113499 + 0.349314i −0.991631 0.129104i \(-0.958790\pi\)
0.878132 + 0.478418i \(0.158790\pi\)
\(720\) 15.0066 + 22.2442i 0.559262 + 0.828991i
\(721\) 3.62550 + 11.1582i 0.135021 + 0.415551i
\(722\) 17.0024 + 2.72814i 0.632764 + 0.101531i
\(723\) 8.90020 + 40.0475i 0.331002 + 1.48938i
\(724\) 0.771211 + 1.07055i 0.0286618 + 0.0397867i
\(725\) −32.9165 23.2060i −1.22249 0.861848i
\(726\) 31.8805 12.5029i 1.18320 0.464025i
\(727\) 34.9308 + 25.3787i 1.29551 + 0.941245i 0.999901 0.0140629i \(-0.00447650\pi\)
0.295612 + 0.955308i \(0.404477\pi\)
\(728\) −12.4720 + 6.25989i −0.462244 + 0.232007i
\(729\) 20.9298 17.0571i 0.775176 0.631745i
\(730\) 24.6877 + 17.7449i 0.913734 + 0.656768i
\(731\) −5.89034 + 18.1286i −0.217862 + 0.670510i
\(732\) −3.83329 + 38.3931i −0.141682 + 1.41905i
\(733\) −17.0322 5.53411i −0.629100 0.204407i −0.0229235 0.999737i \(-0.507297\pi\)
−0.606176 + 0.795330i \(0.707297\pi\)
\(734\) 2.30576 + 14.7508i 0.0851070 + 0.544462i
\(735\) −15.2853 18.2564i −0.563807 0.673398i
\(736\) 25.5709 3.78565i 0.942554 0.139541i
\(737\) 25.0577 18.2055i 0.923014 0.670609i
\(738\) 0.226696 + 0.793513i 0.00834478 + 0.0292096i
\(739\) −13.9636 + 19.2192i −0.513659 + 0.706991i −0.984531 0.175210i \(-0.943939\pi\)
0.470872 + 0.882202i \(0.343939\pi\)
\(740\) −2.70590 + 5.35134i −0.0994707 + 0.196719i
\(741\) −24.0716 2.30518i −0.884292 0.0846830i
\(742\) −1.45595 1.46185i −0.0534497 0.0536661i
\(743\) 17.2663i 0.633439i 0.948519 + 0.316719i \(0.102581\pi\)
−0.948519 + 0.316719i \(0.897419\pi\)
\(744\) 4.15601 + 5.09894i 0.152367 + 0.186936i
\(745\) 16.8043 + 8.41196i 0.615661 + 0.308190i
\(746\) −6.18174 + 38.5260i −0.226330 + 1.41054i
\(747\) 4.92602 + 10.5352i 0.180234 + 0.385464i
\(748\) 0.223463 55.3022i 0.00817060 2.02205i
\(749\) 13.1297i 0.479749i
\(750\) 6.45754 + 26.6139i 0.235796 + 0.971803i
\(751\) 37.0839i 1.35321i 0.736346 + 0.676605i \(0.236550\pi\)
−0.736346 + 0.676605i \(0.763450\pi\)
\(752\) 27.8568 + 39.0005i 1.01583 + 1.42220i
\(753\) −12.2720 + 28.2639i −0.447217 + 1.03000i
\(754\) 60.1131 + 9.64551i 2.18919 + 0.351269i
\(755\) 26.6663 + 13.3487i 0.970486 + 0.485810i
\(756\) −2.74748 + 9.19161i −0.0999249 + 0.334296i
\(757\) 18.1624i 0.660122i −0.943960 0.330061i \(-0.892931\pi\)
0.943960 0.330061i \(-0.107069\pi\)
\(758\) 6.20804 6.18300i 0.225486 0.224577i
\(759\) 3.77099 39.3781i 0.136878 1.42934i
\(760\) −9.72507 13.3555i −0.352766 0.484457i
\(761\) −19.2246 + 26.4604i −0.696890 + 0.959187i 0.303090 + 0.952962i \(0.401982\pi\)
−0.999981 + 0.00622543i \(0.998018\pi\)
\(762\) 16.5782 25.9367i 0.600565 0.939586i
\(763\) 0.556944 0.404643i 0.0201627 0.0146491i
\(764\) 0.0600317 14.8565i 0.00217187 0.537491i
\(765\) 0.992334 37.0995i 0.0358779 1.34133i
\(766\) −40.3000 + 6.29945i −1.45610 + 0.227608i
\(767\) −16.8758 5.48329i −0.609351 0.197990i
\(768\) −5.57422 27.1464i −0.201142 0.979562i
\(769\) 12.1780 37.4800i 0.439149 1.35156i −0.449625 0.893217i \(-0.648442\pi\)
0.888774 0.458345i \(-0.151558\pi\)
\(770\) −8.51556 + 11.8473i −0.306880 + 0.426949i
\(771\) −20.6826 + 47.6345i −0.744865 + 1.71552i
\(772\) 2.04778 + 1.50048i 0.0737011 + 0.0540033i
\(773\) 31.0914 + 22.5892i 1.11828 + 0.812479i 0.983948 0.178457i \(-0.0571107\pi\)
0.134333 + 0.990936i \(0.457111\pi\)
\(774\) 13.7312 + <