Properties

Label 300.2.r.a.59.13
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 59.13
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +O(q^{10})\) \(q+(-1.06241 + 0.933425i) q^{2} +(0.154412 - 1.72515i) q^{3} +(0.257435 - 1.98336i) q^{4} +(-0.778418 + 2.09620i) q^{5} +(1.44625 + 1.97695i) q^{6} -3.14870 q^{7} +(1.57782 + 2.34744i) q^{8} +(-2.95231 - 0.532768i) q^{9} +(-1.12965 - 2.95362i) q^{10} +(-1.76255 - 1.28057i) q^{11} +(-3.38186 - 0.750369i) q^{12} +(2.63696 + 3.62946i) q^{13} +(3.34522 - 2.93908i) q^{14} +(3.49608 + 1.66657i) q^{15} +(-3.86745 - 1.02117i) q^{16} +(-1.48600 + 4.57343i) q^{17} +(3.63387 - 2.18975i) q^{18} +(-2.98189 - 0.968874i) q^{19} +(3.95714 + 2.08352i) q^{20} +(-0.486197 + 5.43200i) q^{21} +(3.06787 - 0.284720i) q^{22} +(-4.21422 + 5.80038i) q^{23} +(4.29333 - 2.35951i) q^{24} +(-3.78813 - 3.26345i) q^{25} +(-6.18937 - 1.39458i) q^{26} +(-1.37498 + 5.01093i) q^{27} +(-0.810586 + 6.24502i) q^{28} +(-1.17852 + 0.382923i) q^{29} +(-5.26989 + 1.49274i) q^{30} +(5.04721 + 1.63994i) q^{31} +(5.06202 - 2.52507i) q^{32} +(-2.48134 + 2.84294i) q^{33} +(-2.69022 - 6.24593i) q^{34} +(2.45101 - 6.60032i) q^{35} +(-1.81670 + 5.71836i) q^{36} +(-5.18020 - 7.12994i) q^{37} +(4.07236 - 1.75403i) q^{38} +(6.66856 - 3.98873i) q^{39} +(-6.14892 + 1.48014i) q^{40} +(-3.03863 - 4.18232i) q^{41} +(-4.55382 - 6.22484i) q^{42} -0.651734 q^{43} +(-2.99358 + 3.16612i) q^{44} +(3.41493 - 5.77393i) q^{45} +(-0.936984 - 10.0961i) q^{46} +(-0.972428 + 0.315961i) q^{47} +(-2.35886 + 6.51427i) q^{48} +2.91433 q^{49} +(7.07073 - 0.0688148i) q^{50} +(7.66042 + 3.26977i) q^{51} +(7.87739 - 4.29570i) q^{52} +(-0.802886 - 2.47103i) q^{53} +(-3.21654 - 6.60711i) q^{54} +(4.05634 - 2.69785i) q^{55} +(-4.96808 - 7.39140i) q^{56} +(-2.13190 + 4.99461i) q^{57} +(0.894639 - 1.50688i) q^{58} +(-2.99418 + 2.17540i) q^{59} +(4.20542 - 6.50495i) q^{60} +(10.3472 + 7.51767i) q^{61} +(-6.89298 + 2.96891i) q^{62} +(9.29596 + 1.67753i) q^{63} +(-3.02097 + 7.40768i) q^{64} +(-9.66075 + 2.70236i) q^{65} +(-0.0174700 - 5.33651i) q^{66} +(-3.32333 + 10.2281i) q^{67} +(8.68822 + 4.12463i) q^{68} +(9.35582 + 8.16583i) q^{69} +(3.55692 + 9.30008i) q^{70} +(-3.91937 - 12.0626i) q^{71} +(-3.40757 - 7.77100i) q^{72} +(6.85959 - 9.44142i) q^{73} +(12.1588 + 2.73959i) q^{74} +(-6.21488 + 6.03119i) q^{75} +(-2.68927 + 5.66474i) q^{76} +(5.54975 + 4.03213i) q^{77} +(-3.36157 + 10.4623i) q^{78} +(10.8901 - 3.53841i) q^{79} +(5.15108 - 7.31207i) q^{80} +(8.43232 + 3.14580i) q^{81} +(7.13216 + 1.60701i) q^{82} +(-4.25869 - 1.38373i) q^{83} +(10.6485 + 2.36269i) q^{84} +(-8.43011 - 6.67500i) q^{85} +(0.692409 - 0.608345i) q^{86} +(0.478625 + 2.09225i) q^{87} +(0.225074 - 6.15800i) q^{88} +(1.83218 - 2.52177i) q^{89} +(1.76148 + 9.32187i) q^{90} +(-8.30300 - 11.4281i) q^{91} +(10.4194 + 9.85155i) q^{92} +(3.60850 - 8.45400i) q^{93} +(0.738193 - 1.24337i) q^{94} +(4.35211 - 5.49645i) q^{95} +(-3.57451 - 9.12266i) q^{96} +(-3.13732 + 1.01938i) q^{97} +(-3.09621 + 2.72031i) q^{98} +(4.52136 + 4.71967i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.06241 + 0.933425i −0.751238 + 0.660031i
\(3\) 0.154412 1.72515i 0.0891497 0.996018i
\(4\) 0.257435 1.98336i 0.128717 0.991681i
\(5\) −0.778418 + 2.09620i −0.348119 + 0.937450i
\(6\) 1.44625 + 1.97695i 0.590431 + 0.807088i
\(7\) −3.14870 −1.19010 −0.595049 0.803690i \(-0.702867\pi\)
−0.595049 + 0.803690i \(0.702867\pi\)
\(8\) 1.57782 + 2.34744i 0.557843 + 0.829946i
\(9\) −2.95231 0.532768i −0.984105 0.177589i
\(10\) −1.12965 2.95362i −0.357226 0.934018i
\(11\) −1.76255 1.28057i −0.531429 0.386106i 0.289463 0.957189i \(-0.406523\pi\)
−0.820892 + 0.571083i \(0.806523\pi\)
\(12\) −3.38186 0.750369i −0.976258 0.216613i
\(13\) 2.63696 + 3.62946i 0.731361 + 1.00663i 0.999069 + 0.0431323i \(0.0137337\pi\)
−0.267708 + 0.963500i \(0.586266\pi\)
\(14\) 3.34522 2.93908i 0.894047 0.785502i
\(15\) 3.49608 + 1.66657i 0.902683 + 0.430307i
\(16\) −3.86745 1.02117i −0.966864 0.255293i
\(17\) −1.48600 + 4.57343i −0.360407 + 1.10922i 0.592400 + 0.805644i \(0.298181\pi\)
−0.952807 + 0.303576i \(0.901819\pi\)
\(18\) 3.63387 2.18975i 0.856512 0.516128i
\(19\) −2.98189 0.968874i −0.684092 0.222275i −0.0537059 0.998557i \(-0.517103\pi\)
−0.630386 + 0.776282i \(0.717103\pi\)
\(20\) 3.95714 + 2.08352i 0.884843 + 0.465890i
\(21\) −0.486197 + 5.43200i −0.106097 + 1.18536i
\(22\) 3.06787 0.284720i 0.654072 0.0607024i
\(23\) −4.21422 + 5.80038i −0.878726 + 1.20946i 0.0980458 + 0.995182i \(0.468741\pi\)
−0.976772 + 0.214281i \(0.931259\pi\)
\(24\) 4.29333 2.35951i 0.876373 0.481633i
\(25\) −3.78813 3.26345i −0.757626 0.652689i
\(26\) −6.18937 1.39458i −1.21384 0.273499i
\(27\) −1.37498 + 5.01093i −0.264615 + 0.964354i
\(28\) −0.810586 + 6.24502i −0.153186 + 1.18020i
\(29\) −1.17852 + 0.382923i −0.218845 + 0.0711070i −0.416387 0.909187i \(-0.636704\pi\)
0.197542 + 0.980294i \(0.436704\pi\)
\(30\) −5.26989 + 1.49274i −0.962146 + 0.272536i
\(31\) 5.04721 + 1.63994i 0.906506 + 0.294542i 0.724920 0.688833i \(-0.241877\pi\)
0.181587 + 0.983375i \(0.441877\pi\)
\(32\) 5.06202 2.52507i 0.894846 0.446374i
\(33\) −2.48134 + 2.84294i −0.431946 + 0.494892i
\(34\) −2.69022 6.24593i −0.461368 1.07117i
\(35\) 2.45101 6.60032i 0.414296 1.11566i
\(36\) −1.81670 + 5.71836i −0.302784 + 0.953059i
\(37\) −5.18020 7.12994i −0.851620 1.17215i −0.983503 0.180889i \(-0.942102\pi\)
0.131884 0.991265i \(-0.457898\pi\)
\(38\) 4.07236 1.75403i 0.660624 0.284541i
\(39\) 6.66856 3.98873i 1.06782 0.638708i
\(40\) −6.14892 + 1.48014i −0.972229 + 0.234030i
\(41\) −3.03863 4.18232i −0.474555 0.653169i 0.502892 0.864349i \(-0.332269\pi\)
−0.977447 + 0.211180i \(0.932269\pi\)
\(42\) −4.55382 6.22484i −0.702670 0.960514i
\(43\) −0.651734 −0.0993885 −0.0496942 0.998764i \(-0.515825\pi\)
−0.0496942 + 0.998764i \(0.515825\pi\)
\(44\) −2.99358 + 3.16612i −0.451298 + 0.477310i
\(45\) 3.41493 5.77393i 0.509067 0.860727i
\(46\) −0.936984 10.0961i −0.138151 1.48858i
\(47\) −0.972428 + 0.315961i −0.141843 + 0.0460877i −0.379078 0.925365i \(-0.623759\pi\)
0.237235 + 0.971452i \(0.423759\pi\)
\(48\) −2.35886 + 6.51427i −0.340472 + 0.940255i
\(49\) 2.91433 0.416332
\(50\) 7.07073 0.0688148i 0.999953 0.00973188i
\(51\) 7.66042 + 3.26977i 1.07267 + 0.457859i
\(52\) 7.87739 4.29570i 1.09240 0.595706i
\(53\) −0.802886 2.47103i −0.110285 0.339422i 0.880650 0.473768i \(-0.157107\pi\)
−0.990934 + 0.134346i \(0.957107\pi\)
\(54\) −3.21654 6.60711i −0.437715 0.899114i
\(55\) 4.05634 2.69785i 0.546956 0.363778i
\(56\) −4.96808 7.39140i −0.663888 0.987717i
\(57\) −2.13190 + 4.99461i −0.282376 + 0.661552i
\(58\) 0.894639 1.50688i 0.117472 0.197863i
\(59\) −2.99418 + 2.17540i −0.389809 + 0.283213i −0.765377 0.643582i \(-0.777448\pi\)
0.375568 + 0.926795i \(0.377448\pi\)
\(60\) 4.20542 6.50495i 0.542918 0.839786i
\(61\) 10.3472 + 7.51767i 1.32482 + 0.962538i 0.999859 + 0.0168114i \(0.00535148\pi\)
0.324962 + 0.945727i \(0.394649\pi\)
\(62\) −6.89298 + 2.96891i −0.875409 + 0.377052i
\(63\) 9.29596 + 1.67753i 1.17118 + 0.211349i
\(64\) −3.02097 + 7.40768i −0.377622 + 0.925960i
\(65\) −9.66075 + 2.70236i −1.19827 + 0.335187i
\(66\) −0.0174700 5.33651i −0.00215041 0.656879i
\(67\) −3.32333 + 10.2281i −0.406009 + 1.24957i 0.514041 + 0.857766i \(0.328148\pi\)
−0.920050 + 0.391802i \(0.871852\pi\)
\(68\) 8.68822 + 4.12463i 1.05360 + 0.500185i
\(69\) 9.35582 + 8.16583i 1.12631 + 0.983051i
\(70\) 3.55692 + 9.30008i 0.425134 + 1.11157i
\(71\) −3.91937 12.0626i −0.465144 1.43157i −0.858802 0.512308i \(-0.828790\pi\)
0.393658 0.919257i \(-0.371210\pi\)
\(72\) −3.40757 7.77100i −0.401586 0.915821i
\(73\) 6.85959 9.44142i 0.802855 1.10503i −0.189532 0.981875i \(-0.560697\pi\)
0.992387 0.123160i \(-0.0393029\pi\)
\(74\) 12.1588 + 2.73959i 1.41343 + 0.318471i
\(75\) −6.21488 + 6.03119i −0.717632 + 0.696422i
\(76\) −2.68927 + 5.66474i −0.308480 + 0.649790i
\(77\) 5.54975 + 4.03213i 0.632453 + 0.459504i
\(78\) −3.36157 + 10.4623i −0.380623 + 1.18462i
\(79\) 10.8901 3.53841i 1.22523 0.398103i 0.376249 0.926519i \(-0.377214\pi\)
0.848986 + 0.528416i \(0.177214\pi\)
\(80\) 5.15108 7.31207i 0.575909 0.817514i
\(81\) 8.43232 + 3.14580i 0.936924 + 0.349533i
\(82\) 7.13216 + 1.60701i 0.787616 + 0.177464i
\(83\) −4.25869 1.38373i −0.467451 0.151884i 0.0658144 0.997832i \(-0.479035\pi\)
−0.533266 + 0.845948i \(0.679035\pi\)
\(84\) 10.6485 + 2.36269i 1.16184 + 0.257791i
\(85\) −8.43011 6.67500i −0.914374 0.724005i
\(86\) 0.692409 0.608345i 0.0746644 0.0655995i
\(87\) 0.478625 + 2.09225i 0.0513139 + 0.224313i
\(88\) 0.225074 6.15800i 0.0239930 0.656445i
\(89\) 1.83218 2.52177i 0.194210 0.267308i −0.700795 0.713362i \(-0.747171\pi\)
0.895006 + 0.446055i \(0.147171\pi\)
\(90\) 1.76148 + 9.32187i 0.185676 + 0.982611i
\(91\) −8.30300 11.4281i −0.870391 1.19799i
\(92\) 10.4194 + 9.85155i 1.08629 + 1.02710i
\(93\) 3.60850 8.45400i 0.374184 0.876639i
\(94\) 0.738193 1.24337i 0.0761387 0.128244i
\(95\) 4.35211 5.49645i 0.446517 0.563924i
\(96\) −3.57451 9.12266i −0.364822 0.931077i
\(97\) −3.13732 + 1.01938i −0.318546 + 0.103502i −0.463926 0.885874i \(-0.653560\pi\)
0.145380 + 0.989376i \(0.453560\pi\)
\(98\) −3.09621 + 2.72031i −0.312765 + 0.274792i
\(99\) 4.52136 + 4.71967i 0.454414 + 0.474345i
\(100\) −7.44779 + 6.67311i −0.744779 + 0.667311i
\(101\) 0.736578i 0.0732922i 0.999328 + 0.0366461i \(0.0116674\pi\)
−0.999328 + 0.0366461i \(0.988333\pi\)
\(102\) −11.1906 + 3.67659i −1.10803 + 0.364037i
\(103\) 2.07137 + 6.37502i 0.204098 + 0.628150i 0.999749 + 0.0223945i \(0.00712898\pi\)
−0.795651 + 0.605755i \(0.792871\pi\)
\(104\) −4.35931 + 11.9168i −0.427466 + 1.16853i
\(105\) −11.0081 5.24753i −1.07428 0.512107i
\(106\) 3.15951 + 1.87581i 0.306879 + 0.182195i
\(107\) 2.15398i 0.208233i 0.994565 + 0.104116i \(0.0332014\pi\)
−0.994565 + 0.104116i \(0.966799\pi\)
\(108\) 9.58453 + 4.01707i 0.922271 + 0.386543i
\(109\) −13.4159 + 9.74722i −1.28501 + 0.933614i −0.999692 0.0248185i \(-0.992099\pi\)
−0.285318 + 0.958433i \(0.592099\pi\)
\(110\) −1.79126 + 6.65251i −0.170790 + 0.634292i
\(111\) −13.1001 + 7.83570i −1.24341 + 0.743732i
\(112\) 12.1775 + 3.21537i 1.15066 + 0.303824i
\(113\) 12.7227 9.24356i 1.19685 0.869561i 0.202877 0.979204i \(-0.434971\pi\)
0.993971 + 0.109643i \(0.0349709\pi\)
\(114\) −2.39714 7.29629i −0.224513 0.683360i
\(115\) −8.87834 13.3490i −0.827910 1.24480i
\(116\) 0.456084 + 2.43600i 0.0423464 + 0.226177i
\(117\) −5.85147 12.1202i −0.540969 1.12051i
\(118\) 1.15048 5.10601i 0.105910 0.470047i
\(119\) 4.67896 14.4004i 0.428920 1.32008i
\(120\) 1.60400 + 10.8364i 0.146424 + 0.989222i
\(121\) −1.93245 5.94748i −0.175678 0.540680i
\(122\) −18.0101 + 1.67147i −1.63056 + 0.151327i
\(123\) −7.68435 + 4.59631i −0.692875 + 0.414436i
\(124\) 4.55192 9.58828i 0.408775 0.861053i
\(125\) 9.78959 5.40036i 0.875608 0.483023i
\(126\) −11.4420 + 6.89486i −1.01933 + 0.614243i
\(127\) 3.49604 + 2.54002i 0.310223 + 0.225390i 0.731992 0.681313i \(-0.238591\pi\)
−0.421769 + 0.906703i \(0.638591\pi\)
\(128\) −3.70500 10.6899i −0.327479 0.944859i
\(129\) −0.100635 + 1.12434i −0.00886045 + 0.0989927i
\(130\) 7.74124 11.8886i 0.678951 1.04270i
\(131\) −1.63335 + 5.02693i −0.142706 + 0.439205i −0.996709 0.0810640i \(-0.974168\pi\)
0.854003 + 0.520269i \(0.174168\pi\)
\(132\) 4.99980 + 5.65326i 0.435176 + 0.492054i
\(133\) 9.38907 + 3.05070i 0.814136 + 0.264529i
\(134\) −6.01647 13.9686i −0.519744 1.20670i
\(135\) −9.43362 6.78284i −0.811916 0.583774i
\(136\) −13.0805 + 3.72775i −1.12164 + 0.319652i
\(137\) −8.06374 + 5.85865i −0.688932 + 0.500538i −0.876309 0.481750i \(-0.840001\pi\)
0.187377 + 0.982288i \(0.440001\pi\)
\(138\) −17.5619 + 0.0574922i −1.49497 + 0.00489406i
\(139\) −3.77253 + 5.19245i −0.319982 + 0.440417i −0.938462 0.345383i \(-0.887749\pi\)
0.618480 + 0.785801i \(0.287749\pi\)
\(140\) −12.4598 6.56039i −1.05305 0.554454i
\(141\) 0.394927 + 1.72638i 0.0332589 + 0.145387i
\(142\) 15.4235 + 9.15698i 1.29431 + 0.768437i
\(143\) 9.77393i 0.817337i
\(144\) 10.8739 + 5.07528i 0.906158 + 0.422940i
\(145\) 0.114694 2.76848i 0.00952485 0.229910i
\(146\) 1.52515 + 16.4336i 0.126222 + 1.36005i
\(147\) 0.450006 5.02766i 0.0371159 0.414675i
\(148\) −15.4748 + 8.43872i −1.27202 + 0.693659i
\(149\) 7.76880i 0.636445i 0.948016 + 0.318222i \(0.103086\pi\)
−0.948016 + 0.318222i \(0.896914\pi\)
\(150\) 0.973088 12.2087i 0.0794523 0.996839i
\(151\) 5.58897i 0.454824i −0.973799 0.227412i \(-0.926974\pi\)
0.973799 0.227412i \(-0.0730265\pi\)
\(152\) −2.43050 8.52852i −0.197140 0.691754i
\(153\) 6.82371 12.7105i 0.551664 1.02758i
\(154\) −9.65981 + 0.896498i −0.778410 + 0.0722418i
\(155\) −7.36649 + 9.30342i −0.591691 + 0.747269i
\(156\) −6.19438 14.2530i −0.495947 1.14115i
\(157\) 11.7964i 0.941452i 0.882279 + 0.470726i \(0.156008\pi\)
−0.882279 + 0.470726i \(0.843992\pi\)
\(158\) −8.26694 + 13.9244i −0.657682 + 1.10776i
\(159\) −4.38688 + 1.00355i −0.347902 + 0.0795864i
\(160\) 1.35270 + 12.5766i 0.106940 + 0.994265i
\(161\) 13.2693 18.2637i 1.04577 1.43938i
\(162\) −11.8950 + 4.52881i −0.934556 + 0.355817i
\(163\) −16.2585 + 11.8125i −1.27347 + 0.925228i −0.999335 0.0364641i \(-0.988391\pi\)
−0.274132 + 0.961692i \(0.588391\pi\)
\(164\) −9.07731 + 4.95004i −0.708819 + 0.386533i
\(165\) −4.02786 7.41438i −0.313568 0.577209i
\(166\) 5.81608 2.50507i 0.451416 0.194431i
\(167\) −10.8653 3.53036i −0.840784 0.273187i −0.143203 0.989693i \(-0.545740\pi\)
−0.697581 + 0.716506i \(0.745740\pi\)
\(168\) −13.5184 + 7.42939i −1.04297 + 0.573190i
\(169\) −2.20223 + 6.77777i −0.169402 + 0.521367i
\(170\) 15.1869 0.777287i 1.16478 0.0596152i
\(171\) 8.28728 + 4.44907i 0.633744 + 0.340229i
\(172\) −0.167779 + 1.29262i −0.0127930 + 0.0985617i
\(173\) −8.36246 6.07568i −0.635786 0.461926i 0.222614 0.974907i \(-0.428541\pi\)
−0.858400 + 0.512981i \(0.828541\pi\)
\(174\) −2.46145 1.77607i −0.186602 0.134643i
\(175\) 11.9277 + 10.2756i 0.901649 + 0.776764i
\(176\) 5.50891 + 6.75241i 0.415250 + 0.508982i
\(177\) 3.29056 + 5.50133i 0.247334 + 0.413505i
\(178\) 0.407363 + 4.38936i 0.0305332 + 0.328997i
\(179\) 5.35967 + 16.4954i 0.400600 + 1.23292i 0.924514 + 0.381149i \(0.124472\pi\)
−0.523913 + 0.851772i \(0.675528\pi\)
\(180\) −10.5727 8.25945i −0.788041 0.615623i
\(181\) −1.65808 + 5.10304i −0.123244 + 0.379306i −0.993577 0.113158i \(-0.963904\pi\)
0.870333 + 0.492464i \(0.163904\pi\)
\(182\) 19.4885 + 4.39111i 1.44458 + 0.325491i
\(183\) 14.5669 16.6897i 1.07681 1.23374i
\(184\) −20.2653 0.740697i −1.49398 0.0546049i
\(185\) 18.9782 5.30868i 1.39530 0.390302i
\(186\) 4.05747 + 12.3499i 0.297508 + 0.905537i
\(187\) 8.47574 6.15799i 0.619808 0.450317i
\(188\) 0.376328 + 2.01002i 0.0274466 + 0.146596i
\(189\) 4.32940 15.7779i 0.314918 1.14768i
\(190\) 0.506793 + 9.90186i 0.0367666 + 0.718356i
\(191\) −17.5836 + 12.7752i −1.27230 + 0.924382i −0.999292 0.0376288i \(-0.988020\pi\)
−0.273011 + 0.962011i \(0.588020\pi\)
\(192\) 12.3129 + 6.35548i 0.888608 + 0.458667i
\(193\) 4.54215i 0.326951i −0.986547 0.163476i \(-0.947730\pi\)
0.986547 0.163476i \(-0.0522705\pi\)
\(194\) 2.38161 4.01145i 0.170990 0.288005i
\(195\) 3.17025 + 17.0836i 0.227027 + 1.22338i
\(196\) 0.750249 5.78017i 0.0535892 0.412869i
\(197\) 6.54918 + 20.1563i 0.466610 + 1.43608i 0.856947 + 0.515405i \(0.172359\pi\)
−0.390337 + 0.920672i \(0.627641\pi\)
\(198\) −9.20901 0.793882i −0.654456 0.0564187i
\(199\) 13.2061i 0.936152i 0.883688 + 0.468076i \(0.155053\pi\)
−0.883688 + 0.468076i \(0.844947\pi\)
\(200\) 1.68377 14.0415i 0.119060 0.992887i
\(201\) 17.1320 + 7.31260i 1.20840 + 0.515791i
\(202\) −0.687540 0.782548i −0.0483752 0.0550599i
\(203\) 3.71080 1.20571i 0.260447 0.0846243i
\(204\) 8.45719 14.3516i 0.592122 1.00482i
\(205\) 11.1323 3.11400i 0.777515 0.217491i
\(206\) −8.15126 4.83943i −0.567925 0.337179i
\(207\) 15.5320 14.8793i 1.07955 1.03419i
\(208\) −6.49201 16.7296i −0.450140 1.15999i
\(209\) 4.01502 + 5.52620i 0.277725 + 0.382255i
\(210\) 16.5933 4.70020i 1.14505 0.324345i
\(211\) 4.11230 5.66009i 0.283102 0.389657i −0.643656 0.765315i \(-0.722583\pi\)
0.926758 + 0.375658i \(0.122583\pi\)
\(212\) −5.10764 + 0.956285i −0.350794 + 0.0656779i
\(213\) −21.4150 + 4.89891i −1.46733 + 0.335668i
\(214\) −2.01058 2.28841i −0.137440 0.156432i
\(215\) 0.507322 1.36617i 0.0345990 0.0931717i
\(216\) −13.9323 + 4.67866i −0.947976 + 0.318342i
\(217\) −15.8922 5.16368i −1.07883 0.350533i
\(218\) 5.15490 22.8783i 0.349134 1.54951i
\(219\) −15.2287 13.2917i −1.02906 0.898171i
\(220\) −4.30657 8.73970i −0.290349 0.589231i
\(221\) −20.5176 + 6.66658i −1.38016 + 0.448443i
\(222\) 6.60368 20.5527i 0.443210 1.37941i
\(223\) −3.65405 2.65482i −0.244693 0.177780i 0.458678 0.888602i \(-0.348323\pi\)
−0.703372 + 0.710822i \(0.748323\pi\)
\(224\) −15.9388 + 7.95070i −1.06495 + 0.531229i
\(225\) 9.44509 + 11.6529i 0.629673 + 0.776861i
\(226\) −4.88853 + 21.6961i −0.325180 + 1.44320i
\(227\) 9.30073 12.8014i 0.617311 0.849656i −0.379842 0.925051i \(-0.624022\pi\)
0.997154 + 0.0753949i \(0.0240217\pi\)
\(228\) 9.35730 + 5.51411i 0.619702 + 0.365181i
\(229\) 5.40156 + 16.6243i 0.356945 + 1.09856i 0.954873 + 0.297014i \(0.0959909\pi\)
−0.597928 + 0.801550i \(0.704009\pi\)
\(230\) 21.8927 + 5.89484i 1.44356 + 0.388695i
\(231\) 7.81300 8.95157i 0.514057 0.588970i
\(232\) −2.75837 2.16232i −0.181096 0.141963i
\(233\) −0.673758 + 2.07361i −0.0441393 + 0.135847i −0.970698 0.240304i \(-0.922753\pi\)
0.926558 + 0.376151i \(0.122753\pi\)
\(234\) 17.5300 + 7.41473i 1.14597 + 0.484716i
\(235\) 0.0946377 2.28436i 0.00617348 0.149015i
\(236\) 3.54380 + 6.49857i 0.230682 + 0.423021i
\(237\) −4.42275 19.3335i −0.287288 1.25585i
\(238\) 8.47069 + 19.6666i 0.549073 + 1.27480i
\(239\) 15.5633 + 11.3074i 1.00671 + 0.731416i 0.963516 0.267651i \(-0.0862473\pi\)
0.0431918 + 0.999067i \(0.486247\pi\)
\(240\) −11.8191 10.0155i −0.762917 0.646497i
\(241\) −13.6390 + 9.90929i −0.878563 + 0.638313i −0.932871 0.360211i \(-0.882705\pi\)
0.0543080 + 0.998524i \(0.482705\pi\)
\(242\) 7.60459 + 4.51487i 0.488842 + 0.290227i
\(243\) 6.72904 14.0613i 0.431668 0.902033i
\(244\) 17.5740 18.5869i 1.12506 1.18990i
\(245\) −2.26857 + 6.10902i −0.144933 + 0.390291i
\(246\) 3.87363 12.0559i 0.246973 0.768659i
\(247\) −4.34662 13.3775i −0.276569 0.851192i
\(248\) 4.11393 + 14.4356i 0.261235 + 0.916660i
\(249\) −3.04474 + 7.13323i −0.192953 + 0.452050i
\(250\) −5.35974 + 14.8753i −0.338980 + 0.940794i
\(251\) 11.6721 0.736734 0.368367 0.929680i \(-0.379917\pi\)
0.368367 + 0.929680i \(0.379917\pi\)
\(252\) 5.72025 18.0054i 0.360342 1.13423i
\(253\) 14.8556 4.82687i 0.933962 0.303463i
\(254\) −6.08514 + 0.564744i −0.381816 + 0.0354352i
\(255\) −12.8171 + 13.5125i −0.802638 + 0.846188i
\(256\) 13.9144 + 7.89868i 0.869651 + 0.493668i
\(257\) −20.2519 −1.26328 −0.631639 0.775262i \(-0.717618\pi\)
−0.631639 + 0.775262i \(0.717618\pi\)
\(258\) −0.942572 1.28845i −0.0586820 0.0802153i
\(259\) 16.3109 + 22.4500i 1.01351 + 1.39498i
\(260\) 2.87275 + 19.8565i 0.178160 + 1.23144i
\(261\) 3.68336 0.502633i 0.227994 0.0311122i
\(262\) −2.95697 6.86527i −0.182682 0.424138i
\(263\) −5.07241 6.98157i −0.312778 0.430502i 0.623467 0.781850i \(-0.285724\pi\)
−0.936245 + 0.351348i \(0.885724\pi\)
\(264\) −10.5887 1.33916i −0.651692 0.0824193i
\(265\) 5.80476 + 0.240483i 0.356583 + 0.0147727i
\(266\) −12.8227 + 5.52291i −0.786207 + 0.338631i
\(267\) −4.06754 3.55018i −0.248929 0.217267i
\(268\) 19.4306 + 9.22444i 1.18691 + 0.563473i
\(269\) −23.6312 7.67824i −1.44082 0.468150i −0.518666 0.854977i \(-0.673571\pi\)
−0.922153 + 0.386826i \(0.873571\pi\)
\(270\) 16.3537 1.59941i 0.995251 0.0973373i
\(271\) 23.5753 7.66008i 1.43210 0.465316i 0.512673 0.858584i \(-0.328655\pi\)
0.919424 + 0.393268i \(0.128655\pi\)
\(272\) 10.4173 16.1701i 0.631641 0.980455i
\(273\) −20.9973 + 12.5593i −1.27082 + 0.760125i
\(274\) 3.09840 13.7512i 0.187181 0.830740i
\(275\) 2.49771 + 10.6030i 0.150617 + 0.639382i
\(276\) 18.6043 16.4538i 1.11985 0.990404i
\(277\) 2.68838 3.70024i 0.161529 0.222326i −0.720579 0.693373i \(-0.756124\pi\)
0.882108 + 0.471047i \(0.156124\pi\)
\(278\) −0.838779 9.03789i −0.0503066 0.542057i
\(279\) −14.0273 7.53061i −0.839790 0.450846i
\(280\) 19.3611 4.66051i 1.15705 0.278518i
\(281\) 9.45731 + 3.07287i 0.564176 + 0.183312i 0.577199 0.816603i \(-0.304146\pi\)
−0.0130233 + 0.999915i \(0.504146\pi\)
\(282\) −2.03102 1.46549i −0.120945 0.0872685i
\(283\) −0.948172 + 2.91817i −0.0563630 + 0.173467i −0.975275 0.220996i \(-0.929069\pi\)
0.918912 + 0.394463i \(0.129069\pi\)
\(284\) −24.9335 + 4.66820i −1.47953 + 0.277007i
\(285\) −8.81021 8.35678i −0.521872 0.495013i
\(286\) 9.12323 + 10.3839i 0.539468 + 0.614015i
\(287\) 9.56776 + 13.1689i 0.564767 + 0.777335i
\(288\) −16.2899 + 4.75793i −0.959894 + 0.280364i
\(289\) −4.95479 3.59987i −0.291458 0.211757i
\(290\) 2.46232 + 3.04833i 0.144592 + 0.179004i
\(291\) 1.27414 + 5.56976i 0.0746915 + 0.326505i
\(292\) −16.9599 16.0356i −0.992501 0.938413i
\(293\) −2.31737 −0.135382 −0.0676912 0.997706i \(-0.521563\pi\)
−0.0676912 + 0.997706i \(0.521563\pi\)
\(294\) 4.21486 + 5.76149i 0.245815 + 0.336017i
\(295\) −2.22935 7.96978i −0.129798 0.464019i
\(296\) 8.56370 23.4100i 0.497755 1.36068i
\(297\) 8.84032 7.07127i 0.512967 0.410317i
\(298\) −7.25159 8.25366i −0.420073 0.478121i
\(299\) −32.1650 −1.86015
\(300\) 10.3621 + 13.8790i 0.598257 + 0.801304i
\(301\) 2.05212 0.118282
\(302\) 5.21689 + 5.93779i 0.300198 + 0.341681i
\(303\) 1.27071 + 0.113736i 0.0730004 + 0.00653398i
\(304\) 10.5429 + 6.79210i 0.604678 + 0.389554i
\(305\) −23.8130 + 15.8379i −1.36353 + 0.906875i
\(306\) 4.61473 + 19.8732i 0.263806 + 1.13608i
\(307\) −28.8797 −1.64825 −0.824126 0.566407i \(-0.808333\pi\)
−0.824126 + 0.566407i \(0.808333\pi\)
\(308\) 9.42588 9.96916i 0.537089 0.568046i
\(309\) 11.3177 2.58906i 0.643844 0.147286i
\(310\) −0.857810 16.7601i −0.0487203 0.951911i
\(311\) 18.7272 + 13.6061i 1.06192 + 0.771533i 0.974443 0.224633i \(-0.0721183\pi\)
0.0874808 + 0.996166i \(0.472118\pi\)
\(312\) 19.8851 + 9.36058i 1.12577 + 0.529938i
\(313\) 3.63733 + 5.00635i 0.205594 + 0.282976i 0.899346 0.437239i \(-0.144043\pi\)
−0.693752 + 0.720214i \(0.744043\pi\)
\(314\) −11.0110 12.5326i −0.621388 0.707255i
\(315\) −10.7526 + 18.1804i −0.605840 + 1.02435i
\(316\) −4.21446 22.5100i −0.237082 1.26628i
\(317\) 9.58331 29.4944i 0.538252 1.65657i −0.198263 0.980149i \(-0.563530\pi\)
0.736515 0.676421i \(-0.236470\pi\)
\(318\) 3.72393 5.16100i 0.208828 0.289415i
\(319\) 2.56756 + 0.834249i 0.143756 + 0.0467090i
\(320\) −13.1764 12.0988i −0.736584 0.676346i
\(321\) 3.71594 + 0.332599i 0.207404 + 0.0185639i
\(322\) 2.95028 + 31.7895i 0.164413 + 1.77156i
\(323\) 8.86216 12.1977i 0.493104 0.678699i
\(324\) 8.41003 15.9145i 0.467224 0.884139i
\(325\) 1.85541 22.3545i 0.102920 1.24000i
\(326\) 6.24715 27.7259i 0.345998 1.53559i
\(327\) 14.7439 + 24.6496i 0.815339 + 1.36312i
\(328\) 5.02335 13.7320i 0.277368 0.758221i
\(329\) 3.06189 0.994867i 0.168807 0.0548488i
\(330\) 11.2000 + 4.11742i 0.616540 + 0.226657i
\(331\) −12.3747 4.02077i −0.680173 0.221002i −0.0515019 0.998673i \(-0.516401\pi\)
−0.628671 + 0.777671i \(0.716401\pi\)
\(332\) −3.84077 + 8.09030i −0.210790 + 0.444013i
\(333\) 11.4950 + 23.8097i 0.629921 + 1.30476i
\(334\) 14.8388 6.39128i 0.811941 0.349715i
\(335\) −18.8533 14.9281i −1.03007 0.815612i
\(336\) 7.42735 20.5115i 0.405195 1.11899i
\(337\) 13.4721 + 18.5428i 0.733872 + 1.01009i 0.998948 + 0.0458606i \(0.0146030\pi\)
−0.265076 + 0.964228i \(0.585397\pi\)
\(338\) −3.98687 9.25640i −0.216857 0.503482i
\(339\) −13.9820 23.3759i −0.759400 1.26960i
\(340\) −15.4091 + 15.0016i −0.835678 + 0.813575i
\(341\) −6.79592 9.35379i −0.368020 0.506536i
\(342\) −12.9574 + 3.00881i −0.700655 + 0.162698i
\(343\) 12.8646 0.694621
\(344\) −1.02832 1.52991i −0.0554432 0.0824871i
\(345\) −24.4000 + 13.2553i −1.31365 + 0.713640i
\(346\) 14.5556 1.35086i 0.782512 0.0726226i
\(347\) 27.6581 8.98666i 1.48477 0.482429i 0.549232 0.835670i \(-0.314920\pi\)
0.935533 + 0.353240i \(0.114920\pi\)
\(348\) 4.27290 0.410668i 0.229052 0.0220141i
\(349\) 5.92600 0.317212 0.158606 0.987342i \(-0.449300\pi\)
0.158606 + 0.987342i \(0.449300\pi\)
\(350\) −22.2636 + 0.216677i −1.19004 + 0.0115819i
\(351\) −21.8128 + 8.22319i −1.16428 + 0.438921i
\(352\) −12.1556 2.03169i −0.647896 0.108289i
\(353\) 2.48576 + 7.65037i 0.132303 + 0.407188i 0.995161 0.0982593i \(-0.0313274\pi\)
−0.862857 + 0.505447i \(0.831327\pi\)
\(354\) −8.63101 2.77318i −0.458733 0.147393i
\(355\) 28.3365 + 1.17394i 1.50395 + 0.0623064i
\(356\) −4.52993 4.28306i −0.240086 0.227002i
\(357\) −24.1204 10.2955i −1.27659 0.544897i
\(358\) −21.0913 12.5220i −1.11471 0.661808i
\(359\) 1.50430 1.09294i 0.0793940 0.0576831i −0.547380 0.836884i \(-0.684375\pi\)
0.626774 + 0.779201i \(0.284375\pi\)
\(360\) 18.9421 1.09388i 0.998337 0.0576523i
\(361\) −7.41839 5.38978i −0.390442 0.283672i
\(362\) −3.00175 6.96922i −0.157768 0.366294i
\(363\) −10.5587 + 2.41542i −0.554189 + 0.126777i
\(364\) −24.8036 + 13.5259i −1.30006 + 0.708948i
\(365\) 14.4515 + 21.7285i 0.756426 + 1.13732i
\(366\) 0.102559 + 31.3284i 0.00536085 + 1.63756i
\(367\) −0.121948 + 0.375316i −0.00636561 + 0.0195913i −0.954189 0.299205i \(-0.903279\pi\)
0.947823 + 0.318796i \(0.103279\pi\)
\(368\) 22.2215 18.1293i 1.15838 0.945053i
\(369\) 6.74280 + 13.9664i 0.351016 + 0.727063i
\(370\) −15.2073 + 23.3547i −0.790592 + 1.21415i
\(371\) 2.52805 + 7.78053i 0.131250 + 0.403945i
\(372\) −15.8384 9.33331i −0.821182 0.483910i
\(373\) −11.2377 + 15.4674i −0.581868 + 0.800872i −0.993899 0.110297i \(-0.964820\pi\)
0.412031 + 0.911170i \(0.364820\pi\)
\(374\) −3.25670 + 14.4538i −0.168400 + 0.747388i
\(375\) −7.80483 17.7224i −0.403039 0.915183i
\(376\) −2.27602 1.78419i −0.117377 0.0920126i
\(377\) −4.49751 3.26763i −0.231633 0.168291i
\(378\) 10.1279 + 20.8038i 0.520924 + 1.07003i
\(379\) −3.28955 + 1.06884i −0.168973 + 0.0549027i −0.392282 0.919845i \(-0.628314\pi\)
0.223309 + 0.974748i \(0.428314\pi\)
\(380\) −9.78107 10.0468i −0.501758 0.515390i
\(381\) 4.92175 5.63899i 0.252149 0.288894i
\(382\) 6.75628 29.9855i 0.345681 1.53419i
\(383\) 18.3405 + 5.95919i 0.937156 + 0.304500i 0.737486 0.675363i \(-0.236013\pi\)
0.199670 + 0.979863i \(0.436013\pi\)
\(384\) −19.0137 + 4.74105i −0.970291 + 0.241941i
\(385\) −12.7722 + 8.49472i −0.650931 + 0.432931i
\(386\) 4.23976 + 4.82563i 0.215798 + 0.245618i
\(387\) 1.92412 + 0.347223i 0.0978087 + 0.0176503i
\(388\) 1.21414 + 6.48486i 0.0616385 + 0.329219i
\(389\) −9.43895 + 12.9916i −0.478574 + 0.658700i −0.978230 0.207524i \(-0.933460\pi\)
0.499656 + 0.866224i \(0.333460\pi\)
\(390\) −19.3143 15.1906i −0.978020 0.769204i
\(391\) −20.2653 27.8928i −1.02486 1.41060i
\(392\) 4.59828 + 6.84121i 0.232248 + 0.345534i
\(393\) 8.42002 + 3.59399i 0.424734 + 0.181293i
\(394\) −25.7723 15.3011i −1.29839 0.770859i
\(395\) −1.05984 + 25.5823i −0.0533262 + 1.28718i
\(396\) 10.5248 7.75249i 0.528890 0.389577i
\(397\) −0.716276 + 0.232732i −0.0359489 + 0.0116805i −0.326936 0.945046i \(-0.606016\pi\)
0.290987 + 0.956727i \(0.406016\pi\)
\(398\) −12.3269 14.0303i −0.617890 0.703273i
\(399\) 6.71270 15.7265i 0.336056 0.787312i
\(400\) 11.3179 + 16.4896i 0.565894 + 0.824478i
\(401\) 8.21552i 0.410264i 0.978734 + 0.205132i \(0.0657623\pi\)
−0.978734 + 0.205132i \(0.934238\pi\)
\(402\) −25.0270 + 8.22243i −1.24823 + 0.410098i
\(403\) 7.35720 + 22.6431i 0.366488 + 1.12794i
\(404\) 1.46090 + 0.189621i 0.0726825 + 0.00943399i
\(405\) −13.1581 + 15.2271i −0.653831 + 0.756640i
\(406\) −2.81695 + 4.74471i −0.139803 + 0.235476i
\(407\) 19.2005i 0.951733i
\(408\) 4.41116 + 23.1415i 0.218385 + 1.14567i
\(409\) 26.4187 19.1943i 1.30632 0.949096i 0.306323 0.951928i \(-0.400901\pi\)
0.999996 + 0.00283185i \(0.000901408\pi\)
\(410\) −8.92042 + 13.6995i −0.440548 + 0.676572i
\(411\) 8.86194 + 14.8158i 0.437127 + 0.730812i
\(412\) 13.1772 2.46713i 0.649195 0.121547i
\(413\) 9.42778 6.84969i 0.463911 0.337051i
\(414\) −2.61259 + 30.3059i −0.128402 + 1.48945i
\(415\) 6.21562 7.84995i 0.305113 0.385339i
\(416\) 22.5130 + 11.7139i 1.10379 + 0.574321i
\(417\) 8.37525 + 7.30997i 0.410138 + 0.357971i
\(418\) −9.42390 2.12338i −0.460938 0.103858i
\(419\) 0.230406 0.709116i 0.0112561 0.0346426i −0.945271 0.326287i \(-0.894202\pi\)
0.956527 + 0.291644i \(0.0942024\pi\)
\(420\) −13.2416 + 20.4822i −0.646125 + 0.999427i
\(421\) 4.36803 + 13.4434i 0.212885 + 0.655192i 0.999297 + 0.0374897i \(0.0119362\pi\)
−0.786412 + 0.617702i \(0.788064\pi\)
\(422\) 0.914321 + 9.85186i 0.0445085 + 0.479581i
\(423\) 3.03925 0.414737i 0.147773 0.0201652i
\(424\) 4.53379 5.78356i 0.220180 0.280875i
\(425\) 20.5543 12.4753i 0.997030 0.605140i
\(426\) 18.1788 25.1940i 0.880765 1.22065i
\(427\) −32.5802 23.6709i −1.57667 1.14551i
\(428\) 4.27212 + 0.554509i 0.206501 + 0.0268032i
\(429\) −16.8615 1.50921i −0.814083 0.0728653i
\(430\) 0.736230 + 1.92498i 0.0355041 + 0.0928306i
\(431\) 2.59889 7.99856i 0.125184 0.385277i −0.868750 0.495250i \(-0.835076\pi\)
0.993935 + 0.109973i \(0.0350765\pi\)
\(432\) 10.4347 17.9755i 0.502040 0.864845i
\(433\) −37.6095 12.2201i −1.80739 0.587258i −0.807399 0.590006i \(-0.799125\pi\)
−0.999996 + 0.00274802i \(0.999125\pi\)
\(434\) 21.7039 9.34820i 1.04182 0.448728i
\(435\) −4.75835 0.625352i −0.228145 0.0299833i
\(436\) 15.8786 + 29.1179i 0.760445 + 1.39449i
\(437\) 18.1862 13.2130i 0.869963 0.632065i
\(438\) 28.5860 0.0935814i 1.36589 0.00447149i
\(439\) 12.6738 17.4441i 0.604890 0.832559i −0.391255 0.920282i \(-0.627959\pi\)
0.996145 + 0.0877231i \(0.0279591\pi\)
\(440\) 12.7332 + 5.26530i 0.607032 + 0.251013i
\(441\) −8.60401 1.55266i −0.409715 0.0739362i
\(442\) 15.5754 26.2343i 0.740846 1.24784i
\(443\) 17.3000i 0.821948i 0.911647 + 0.410974i \(0.134811\pi\)
−0.911647 + 0.410974i \(0.865189\pi\)
\(444\) 12.1686 + 27.9995i 0.577497 + 1.32880i
\(445\) 3.85995 + 5.80361i 0.182979 + 0.275117i
\(446\) 6.36018 0.590269i 0.301163 0.0279500i
\(447\) 13.4024 + 1.19959i 0.633910 + 0.0567388i
\(448\) 9.51215 23.3246i 0.449407 1.10198i
\(449\) 5.83429i 0.275337i 0.990478 + 0.137669i \(0.0439609\pi\)
−0.990478 + 0.137669i \(0.956039\pi\)
\(450\) −20.9117 3.56390i −0.985786 0.168004i
\(451\) 11.2627i 0.530342i
\(452\) −15.0581 27.6133i −0.708272 1.29882i
\(453\) −9.64184 0.863003i −0.453013 0.0405474i
\(454\) 2.06791 + 22.2819i 0.0970519 + 1.04574i
\(455\) 30.4188 8.50893i 1.42606 0.398905i
\(456\) −15.0883 + 2.87609i −0.706575 + 0.134685i
\(457\) 2.37590i 0.111140i 0.998455 + 0.0555699i \(0.0176976\pi\)
−0.998455 + 0.0555699i \(0.982302\pi\)
\(458\) −21.2562 12.6199i −0.993237 0.589688i
\(459\) −20.8739 13.7346i −0.974312 0.641077i
\(460\) −28.7615 + 14.1725i −1.34101 + 0.660795i
\(461\) 8.59164 11.8254i 0.400152 0.550762i −0.560630 0.828067i \(-0.689441\pi\)
0.960782 + 0.277304i \(0.0894409\pi\)
\(462\) 0.0550080 + 16.8031i 0.00255920 + 0.781751i
\(463\) −5.25785 + 3.82005i −0.244353 + 0.177533i −0.703220 0.710972i \(-0.748255\pi\)
0.458867 + 0.888505i \(0.348255\pi\)
\(464\) 4.94889 0.277468i 0.229746 0.0128811i
\(465\) 14.9124 + 14.1449i 0.691544 + 0.655953i
\(466\) −1.21975 2.83193i −0.0565040 0.131187i
\(467\) 21.8778 + 7.10854i 1.01239 + 0.328944i 0.767804 0.640685i \(-0.221349\pi\)
0.244581 + 0.969629i \(0.421349\pi\)
\(468\) −25.5451 + 8.48543i −1.18082 + 0.392239i
\(469\) 10.4642 32.2054i 0.483190 1.48711i
\(470\) 2.03173 + 2.51526i 0.0937168 + 0.116020i
\(471\) 20.3505 + 1.82150i 0.937704 + 0.0839302i
\(472\) −9.83090 3.59628i −0.452504 0.165532i
\(473\) 1.14871 + 0.834590i 0.0528180 + 0.0383745i
\(474\) 22.7452 + 16.4118i 1.04472 + 0.753820i
\(475\) 8.13391 + 13.4014i 0.373209 + 0.614900i
\(476\) −27.3566 12.9872i −1.25389 0.595269i
\(477\) 1.05389 + 7.72300i 0.0482541 + 0.353612i
\(478\) −27.0893 + 2.51407i −1.23903 + 0.114991i
\(479\) −2.55938 7.87696i −0.116941 0.359908i 0.875406 0.483389i \(-0.160594\pi\)
−0.992347 + 0.123481i \(0.960594\pi\)
\(480\) 21.9054 0.391643i 0.999840 0.0178760i
\(481\) 12.2179 37.6027i 0.557087 1.71454i
\(482\) 5.24061 23.2587i 0.238703 1.05940i
\(483\) −29.4587 25.7118i −1.34042 1.16993i
\(484\) −12.2935 + 2.30167i −0.558795 + 0.104621i
\(485\) 0.305327 7.36995i 0.0138642 0.334652i
\(486\) 5.97617 + 21.2199i 0.271084 + 0.962556i
\(487\) −22.1343 + 16.0815i −1.00300 + 0.728722i −0.962729 0.270467i \(-0.912822\pi\)
−0.0402704 + 0.999189i \(0.512822\pi\)
\(488\) −1.32131 + 36.1509i −0.0598131 + 1.63648i
\(489\) 17.8679 + 29.8725i 0.808015 + 1.35088i
\(490\) −3.29216 8.60783i −0.148725 0.388862i
\(491\) 1.14907 0.834847i 0.0518567 0.0376761i −0.561555 0.827439i \(-0.689797\pi\)
0.613412 + 0.789763i \(0.289797\pi\)
\(492\) 7.13794 + 16.4241i 0.321803 + 0.740456i
\(493\) 5.95888i 0.268375i
\(494\) 17.1048 + 10.1552i 0.769583 + 0.456904i
\(495\) −13.4129 + 5.80381i −0.602865 + 0.260862i
\(496\) −17.8452 11.4965i −0.801274 0.516207i
\(497\) 12.3409 + 37.9815i 0.553567 + 1.70370i
\(498\) −3.42357 10.4205i −0.153414 0.466952i
\(499\) 3.74440i 0.167622i 0.996482 + 0.0838111i \(0.0267092\pi\)
−0.996482 + 0.0838111i \(0.973291\pi\)
\(500\) −8.19069 20.8066i −0.366299 0.930497i
\(501\) −7.76815 + 18.1992i −0.347055 + 0.813082i
\(502\) −12.4005 + 10.8950i −0.553463 + 0.486268i
\(503\) −13.7647 + 4.47241i −0.613736 + 0.199415i −0.599357 0.800482i \(-0.704577\pi\)
−0.0143790 + 0.999897i \(0.504577\pi\)
\(504\) 10.7294 + 24.4686i 0.477927 + 1.08992i
\(505\) −1.54402 0.573366i −0.0687078 0.0255144i
\(506\) −11.2772 + 18.9947i −0.501333 + 0.844417i
\(507\) 11.3527 + 4.84576i 0.504189 + 0.215208i
\(508\) 5.93778 6.28002i 0.263446 0.278631i
\(509\) −14.0390 19.3230i −0.622266 0.856475i 0.375250 0.926924i \(-0.377557\pi\)
−0.997515 + 0.0704484i \(0.977557\pi\)
\(510\) 1.00409 26.3197i 0.0444618 1.16546i
\(511\) −21.5988 + 29.7282i −0.955475 + 1.31510i
\(512\) −22.1557 + 4.59641i −0.979151 + 0.203135i
\(513\) 8.95499 13.6098i 0.395373 0.600890i
\(514\) 21.5158 18.9036i 0.949023 0.833803i
\(515\) −14.9757 0.620424i −0.659910 0.0273391i
\(516\) 2.20407 + 0.489041i 0.0970287 + 0.0215288i
\(517\) 2.11857 + 0.688364i 0.0931744 + 0.0302742i
\(518\) −38.2843 8.62616i −1.68212 0.379012i
\(519\) −11.7728 + 13.4884i −0.516767 + 0.592074i
\(520\) −21.5866 18.4142i −0.946633 0.807517i
\(521\) 1.04897 0.340832i 0.0459563 0.0149321i −0.285949 0.958245i \(-0.592309\pi\)
0.331905 + 0.943313i \(0.392309\pi\)
\(522\) −3.44407 + 3.97214i −0.150743 + 0.173856i
\(523\) −31.1401 22.6246i −1.36166 0.989304i −0.998337 0.0576413i \(-0.981642\pi\)
−0.363323 0.931663i \(-0.618358\pi\)
\(524\) 9.54974 + 4.53363i 0.417182 + 0.198052i
\(525\) 19.5688 18.9904i 0.854053 0.828810i
\(526\) 11.9058 + 2.68258i 0.519116 + 0.116966i
\(527\) −15.0003 + 20.6461i −0.653423 + 0.899360i
\(528\) 12.4996 8.46106i 0.543975 0.368220i
\(529\) −8.77735 27.0139i −0.381624 1.17452i
\(530\) −6.39151 + 5.16281i −0.277629 + 0.224258i
\(531\) 9.99874 4.82726i 0.433909 0.209485i
\(532\) 8.46771 17.8366i 0.367122 0.773314i
\(533\) 7.16683 22.0572i 0.310430 0.955405i
\(534\) 7.63523 0.0249953i 0.330409 0.00108165i
\(535\) −4.51517 1.67669i −0.195208 0.0724898i
\(536\) −29.2536 + 8.33685i −1.26356 + 0.360097i
\(537\) 29.2846 6.69917i 1.26372 0.289091i
\(538\) 32.2731 13.9005i 1.39139 0.599293i
\(539\) −5.13665 3.73200i −0.221251 0.160748i
\(540\) −15.8814 + 16.9641i −0.683425 + 0.730021i
\(541\) −10.0337 + 7.28994i −0.431384 + 0.313419i −0.782202 0.623025i \(-0.785904\pi\)
0.350818 + 0.936444i \(0.385904\pi\)
\(542\) −17.8965 + 30.1439i −0.768722 + 1.29479i
\(543\) 8.54750 + 3.64841i 0.366808 + 0.156568i
\(544\) 4.02611 + 26.9030i 0.172618 + 1.15346i
\(545\) −9.98897 35.7099i −0.427880 1.52964i
\(546\) 10.5846 32.9426i 0.452979 1.40981i
\(547\) 1.95152 + 6.00616i 0.0834410 + 0.256805i 0.984069 0.177785i \(-0.0568932\pi\)
−0.900628 + 0.434590i \(0.856893\pi\)
\(548\) 9.54394 + 17.5015i 0.407697 + 0.747629i
\(549\) −26.5429 27.7072i −1.13283 1.18251i
\(550\) −12.5507 8.93327i −0.535162 0.380916i
\(551\) 3.88521 0.165515
\(552\) −4.40702 + 34.8465i −0.187575 + 1.48316i
\(553\) −34.2897 + 11.1414i −1.45815 + 0.473781i
\(554\) 0.597731 + 6.44058i 0.0253952 + 0.273634i
\(555\) −6.22784 33.5600i −0.264357 1.42454i
\(556\) 9.32732 + 8.81902i 0.395567 + 0.374010i
\(557\) −43.8286 −1.85708 −0.928539 0.371236i \(-0.878934\pi\)
−0.928539 + 0.371236i \(0.878934\pi\)
\(558\) 21.9320 5.09279i 0.928454 0.215595i
\(559\) −1.71860 2.36544i −0.0726889 0.100048i
\(560\) −16.2192 + 23.0235i −0.685388 + 0.972921i
\(561\) −9.31472 15.5728i −0.393268 0.657485i
\(562\) −12.9158 + 5.56305i −0.544822 + 0.234663i
\(563\) −11.8810 16.3529i −0.500726 0.689191i 0.481595 0.876394i \(-0.340058\pi\)
−0.982321 + 0.187203i \(0.940058\pi\)
\(564\) 3.52570 0.338854i 0.148459 0.0142683i
\(565\) 9.47281 + 33.8646i 0.398524 + 1.42470i
\(566\) −1.71655 3.98535i −0.0721519 0.167517i
\(567\) −26.5509 9.90518i −1.11503 0.415979i
\(568\) 22.1322 28.2331i 0.928645 1.18463i
\(569\) 6.83824 + 2.22188i 0.286674 + 0.0931460i 0.448824 0.893620i \(-0.351843\pi\)
−0.162150 + 0.986766i \(0.551843\pi\)
\(570\) 17.1605 + 0.654668i 0.718774 + 0.0274210i
\(571\) 8.99158 2.92154i 0.376286 0.122263i −0.114767 0.993392i \(-0.536612\pi\)
0.491053 + 0.871130i \(0.336612\pi\)
\(572\) −19.3852 2.51615i −0.810538 0.105206i
\(573\) 19.3241 + 32.3070i 0.807276 + 1.34965i
\(574\) −22.4571 5.05999i −0.937340 0.211200i
\(575\) 34.8932 8.21971i 1.45515 0.342785i
\(576\) 12.8654 20.2603i 0.536060 0.844180i
\(577\) 13.2052 18.1754i 0.549740 0.756653i −0.440237 0.897882i \(-0.645105\pi\)
0.989977 + 0.141229i \(0.0451054\pi\)
\(578\) 8.62424 0.800389i 0.358721 0.0332918i
\(579\) −7.83591 0.701361i −0.325649 0.0291476i
\(580\) −5.46138 0.940184i −0.226771 0.0390390i
\(581\) 13.4093 + 4.35696i 0.556313 + 0.180757i
\(582\) −6.55262 4.72806i −0.271615 0.195984i
\(583\) −1.74919 + 5.38347i −0.0724442 + 0.222960i
\(584\) 32.9864 + 1.20565i 1.36499 + 0.0498902i
\(585\) 29.9613 2.83128i 1.23875 0.117059i
\(586\) 2.46200 2.16310i 0.101704 0.0893566i
\(587\) −23.2299 31.9733i −0.958802 1.31968i −0.947505 0.319741i \(-0.896404\pi\)
−0.0112970 0.999936i \(-0.503596\pi\)
\(588\) −9.85583 2.18682i −0.406448 0.0901830i
\(589\) −13.4613 9.78023i −0.554664 0.402987i
\(590\) 9.80768 + 6.38625i 0.403776 + 0.262918i
\(591\) 35.7840 8.18598i 1.47196 0.336726i
\(592\) 12.7533 + 32.8646i 0.524157 + 1.35073i
\(593\) −13.3435 −0.547953 −0.273977 0.961736i \(-0.588339\pi\)
−0.273977 + 0.961736i \(0.588339\pi\)
\(594\) −2.79155 + 15.7644i −0.114539 + 0.646820i
\(595\) 26.5439 + 21.0176i 1.08819 + 0.861637i
\(596\) 15.4083 + 1.99996i 0.631150 + 0.0819215i
\(597\) 22.7825 + 2.03917i 0.932425 + 0.0834577i
\(598\) 34.1725 30.0236i 1.39742 1.22776i
\(599\) 10.8222 0.442182 0.221091 0.975253i \(-0.429038\pi\)
0.221091 + 0.975253i \(0.429038\pi\)
\(600\) −23.9638 5.07294i −0.978319 0.207102i
\(601\) 7.06828 0.288321 0.144160 0.989554i \(-0.453952\pi\)
0.144160 + 0.989554i \(0.453952\pi\)
\(602\) −2.18019 + 1.91550i −0.0888579 + 0.0780698i
\(603\) 15.2607 28.4261i 0.621465 1.15760i
\(604\) −11.0850 1.43880i −0.451041 0.0585438i
\(605\) 13.9714 + 0.578815i 0.568018 + 0.0235322i
\(606\) −1.45618 + 1.06528i −0.0591533 + 0.0432740i
\(607\) 20.7689 0.842983 0.421492 0.906832i \(-0.361507\pi\)
0.421492 + 0.906832i \(0.361507\pi\)
\(608\) −17.5408 + 2.62503i −0.711375 + 0.106459i
\(609\) −1.50705 6.58787i −0.0610686 0.266954i
\(610\) 10.5157 39.0540i 0.425768 1.58125i
\(611\) −3.71102 2.69622i −0.150132 0.109077i
\(612\) −23.4529 16.8060i −0.948027 0.679343i
\(613\) 20.8906 + 28.7535i 0.843764 + 1.16134i 0.985202 + 0.171395i \(0.0548274\pi\)
−0.141438 + 0.989947i \(0.545173\pi\)
\(614\) 30.6821 26.9570i 1.23823 1.08790i
\(615\) −3.65316 19.6858i −0.147310 0.793809i
\(616\) −0.708692 + 19.3897i −0.0285540 + 0.781233i
\(617\) 14.8717 45.7703i 0.598711 1.84264i 0.0633979 0.997988i \(-0.479806\pi\)
0.535313 0.844654i \(-0.320194\pi\)
\(618\) −9.60741 + 13.3149i −0.386467 + 0.535604i
\(619\) 21.0541 + 6.84090i 0.846236 + 0.274959i 0.699869 0.714271i \(-0.253242\pi\)
0.146368 + 0.989230i \(0.453242\pi\)
\(620\) 16.5557 + 17.0054i 0.664892 + 0.682955i
\(621\) −23.2708 29.0926i −0.933827 1.16745i
\(622\) −32.5963 + 3.02517i −1.30699 + 0.121298i
\(623\) −5.76898 + 7.94032i −0.231129 + 0.318122i
\(624\) −29.8636 + 8.61648i −1.19550 + 0.344935i
\(625\) 3.69985 + 24.7247i 0.147994 + 0.988988i
\(626\) −8.53739 1.92363i −0.341223 0.0768837i
\(627\) 10.1535 6.07322i 0.405493 0.242541i
\(628\) 23.3965 + 3.03680i 0.933621 + 0.121181i
\(629\) 40.3060 13.0962i 1.60711 0.522181i
\(630\) −5.54637 29.3518i −0.220973 1.16940i
\(631\) 2.11030 + 0.685677i 0.0840095 + 0.0272964i 0.350720 0.936480i \(-0.385937\pi\)
−0.266711 + 0.963777i \(0.585937\pi\)
\(632\) 25.4889 + 19.9810i 1.01389 + 0.794800i
\(633\) −9.12954 7.96833i −0.362867 0.316713i
\(634\) 17.3494 + 40.2805i 0.689032 + 1.59974i
\(635\) −8.04577 + 5.35120i −0.319287 + 0.212356i
\(636\) 0.861059 + 8.95912i 0.0341432 + 0.355252i
\(637\) 7.68496 + 10.5774i 0.304489 + 0.419094i
\(638\) −3.50651 + 1.51031i −0.138824 + 0.0597936i
\(639\) 5.14465 + 37.7007i 0.203519 + 1.49141i
\(640\) 25.2921 + 0.554756i 0.999760 + 0.0219287i
\(641\) 0.775928 + 1.06797i 0.0306473 + 0.0421824i 0.824066 0.566494i \(-0.191701\pi\)
−0.793418 + 0.608677i \(0.791701\pi\)
\(642\) −4.25831 + 3.11520i −0.168062 + 0.122947i
\(643\) −16.1293 −0.636078 −0.318039 0.948078i \(-0.603024\pi\)
−0.318039 + 0.948078i \(0.603024\pi\)
\(644\) −32.8075 31.0196i −1.29280 1.22234i
\(645\) −2.27851 1.08616i −0.0897163 0.0427675i
\(646\) 1.97040 + 21.2311i 0.0775243 + 0.835328i
\(647\) −31.3201 + 10.1765i −1.23132 + 0.400081i −0.851193 0.524853i \(-0.824120\pi\)
−0.380129 + 0.924934i \(0.624120\pi\)
\(648\) 5.92009 + 24.7579i 0.232563 + 0.972581i
\(649\) 8.06315 0.316506
\(650\) 18.8950 + 25.4815i 0.741123 + 0.999467i
\(651\) −11.3621 + 26.6191i −0.445315 + 1.04329i
\(652\) 19.2430 + 35.2875i 0.753614 + 1.38197i
\(653\) 12.3997 + 38.1622i 0.485236 + 1.49340i 0.831638 + 0.555317i \(0.187403\pi\)
−0.346402 + 0.938086i \(0.612597\pi\)
\(654\) −38.6726 12.4257i −1.51222 0.485882i
\(655\) −9.26603 7.33688i −0.362054 0.286676i
\(656\) 7.48091 + 19.2779i 0.292080 + 0.752676i
\(657\) −25.2818 + 24.2195i −0.986336 + 0.944891i
\(658\) −2.32435 + 3.91500i −0.0906125 + 0.152623i
\(659\) 5.18431 3.76662i 0.201952 0.146727i −0.482213 0.876054i \(-0.660167\pi\)
0.684165 + 0.729327i \(0.260167\pi\)
\(660\) −15.7423 + 6.07998i −0.612769 + 0.236663i
\(661\) −27.1923 19.7564i −1.05766 0.768434i −0.0840046 0.996465i \(-0.526771\pi\)
−0.973654 + 0.228032i \(0.926771\pi\)
\(662\) 16.9001 7.27911i 0.656840 0.282911i
\(663\) 8.33272 + 36.4255i 0.323616 + 1.41465i
\(664\) −3.47121 12.1803i −0.134709 0.472687i
\(665\) −13.7035 + 17.3067i −0.531399 + 0.671124i
\(666\) −34.4369 14.5659i −1.33440 0.564419i
\(667\) 2.74543 8.44956i 0.106303 0.327168i
\(668\) −9.79909 + 20.6410i −0.379138 + 0.798626i
\(669\) −5.14421 + 5.89386i −0.198886 + 0.227870i
\(670\) 33.9643 1.73835i 1.31216 0.0671582i
\(671\) −8.61055 26.5006i −0.332407 1.02304i
\(672\) 11.2551 + 28.7245i 0.434173 + 1.10807i
\(673\) 22.2887 30.6778i 0.859167 1.18254i −0.122600 0.992456i \(-0.539123\pi\)
0.981767 0.190086i \(-0.0608766\pi\)
\(674\) −31.6212 7.12483i −1.21800 0.274438i
\(675\) 21.5615 14.4949i 0.829903 0.557908i
\(676\) 12.8758 + 6.11266i 0.495225 + 0.235102i
\(677\) 29.2698 + 21.2657i 1.12493 + 0.817309i 0.984949 0.172845i \(-0.0552961\pi\)
0.139980 + 0.990154i \(0.455296\pi\)
\(678\) 36.6743 + 11.7836i 1.40847 + 0.452547i
\(679\) 9.87848 3.20971i 0.379101 0.123177i
\(680\) 2.36798 30.3211i 0.0908080 1.16276i
\(681\) −20.6482 18.0219i −0.791240 0.690600i
\(682\) 15.9511 + 3.59408i 0.610800 + 0.137624i
\(683\) 6.27951 + 2.04034i 0.240279 + 0.0780713i 0.426681 0.904402i \(-0.359683\pi\)
−0.186402 + 0.982474i \(0.559683\pi\)
\(684\) 10.9576 15.2913i 0.418973 0.584679i
\(685\) −6.00396 21.4637i −0.229399 0.820087i
\(686\) −13.6675 + 12.0081i −0.521826 + 0.458472i
\(687\) 29.5135 6.75154i 1.12601 0.257587i
\(688\) 2.52055 + 0.665533i 0.0960951 + 0.0253732i
\(689\) 6.85133 9.43005i 0.261015 0.359256i
\(690\) 13.5500 36.8581i 0.515840 1.40316i
\(691\) −6.82283 9.39083i −0.259553 0.357244i 0.659275 0.751902i \(-0.270863\pi\)
−0.918828 + 0.394658i \(0.870863\pi\)
\(692\) −14.2031 + 15.0217i −0.539920 + 0.571039i
\(693\) −14.2364 14.8608i −0.540797 0.564517i
\(694\) −20.9959 + 35.3643i −0.796994 + 1.34241i
\(695\) −7.94781 11.9499i −0.301478 0.453285i
\(696\) −4.15625 + 4.42474i −0.157542 + 0.167719i
\(697\) 23.6430 7.68207i 0.895541 0.290979i
\(698\) −6.29585 + 5.53148i −0.238302 + 0.209370i
\(699\) 3.47327 + 1.48253i 0.131371 + 0.0560743i
\(700\) 23.4509 21.0116i 0.886360 0.794165i
\(701\) 7.71123i 0.291249i 0.989340 + 0.145625i \(0.0465192\pi\)
−0.989340 + 0.145625i \(0.953481\pi\)
\(702\) 15.4984 29.0970i 0.584949 1.09820i
\(703\) 8.53877 + 26.2796i 0.322046 + 0.991155i
\(704\) 14.8107 9.18785i 0.558198 0.346280i
\(705\) −3.92625 0.515996i −0.147871 0.0194335i
\(706\) −9.78195 5.80757i −0.368148 0.218571i
\(707\) 2.31926i 0.0872249i
\(708\) 11.7582 5.11015i 0.441902 0.192051i
\(709\) −7.86571 + 5.71477i −0.295403 + 0.214623i −0.725608 0.688108i \(-0.758441\pi\)
0.430205 + 0.902731i \(0.358441\pi\)
\(710\) −31.2008 + 25.2028i −1.17095 + 0.945845i
\(711\) −34.0362 + 4.64460i −1.27646 + 0.174186i
\(712\) 8.81057 + 0.322026i 0.330190 + 0.0120684i
\(713\) −30.7824 + 22.3647i −1.15281 + 0.837564i
\(714\) 35.2359 11.5765i 1.31867 0.433239i
\(715\) 20.4881 + 7.60821i 0.766213 + 0.284531i
\(716\) 34.0960 6.38368i 1.27423 0.238569i
\(717\) 21.9102 25.1031i 0.818251 0.937494i
\(718\) −0.578010 + 2.56530i −0.0215711 + 0.0957362i
\(719\) 5.91073 18.1913i 0.220433 0.678423i −0.778290 0.627905i \(-0.783913\pi\)
0.998723 0.0505180i \(-0.0160872\pi\)
\(720\) −19.1033 + 18.8432i −0.711936 + 0.702244i
\(721\) −6.52213 20.0731i −0.242897 0.747560i
\(722\) 12.9123 1.19835i 0.480547 0.0445981i
\(723\) 14.9890 + 25.0594i 0.557448 + 0.931970i
\(724\) 9.69433 + 4.60227i 0.360287 + 0.171042i
\(725\) 5.71402 + 2.39546i 0.212213 + 0.0889652i
\(726\) 8.96308 12.4219i 0.332651 0.461021i
\(727\) −10.2976 7.48165i −0.381917 0.277479i 0.380218 0.924897i \(-0.375849\pi\)
−0.762135 + 0.647418i \(0.775849\pi\)
\(728\) 13.7262 37.5223i 0.508726 1.39067i
\(729\) −23.2189 13.7799i −0.859958 0.510365i
\(730\) −35.6353 9.59518i −1.31892 0.355134i
\(731\) 0.968475 2.98066i 0.0358203 0.110244i
\(732\) −29.3516 33.1879i −1.08487 1.22666i
\(733\) −17.8317 5.79386i −0.658628 0.214001i −0.0394131 0.999223i \(-0.512549\pi\)
−0.619214 + 0.785222i \(0.712549\pi\)
\(734\) −0.220771 0.512569i −0.00814881 0.0189193i
\(735\) 10.1887 + 4.85693i 0.375816 + 0.179151i
\(736\) −6.68608 + 40.0028i −0.246452 + 1.47452i
\(737\) 18.9554 13.7719i 0.698231 0.507294i
\(738\) −20.2002 8.54418i −0.743581 0.314516i
\(739\) −4.09366 + 5.63444i −0.150588 + 0.207266i −0.877646 0.479310i \(-0.840887\pi\)
0.727058 + 0.686576i \(0.240887\pi\)
\(740\) −5.64340 39.0072i −0.207455 1.43393i
\(741\) −23.7495 + 5.43295i −0.872459 + 0.199584i
\(742\) −9.94837 5.90638i −0.365216 0.216830i
\(743\) 38.3548i 1.40710i 0.710645 + 0.703551i \(0.248403\pi\)
−0.710645 + 0.703551i \(0.751597\pi\)
\(744\) 25.5388 4.86814i 0.936299 0.178474i
\(745\) −16.2850 6.04737i −0.596635 0.221559i
\(746\) −2.49858 26.9223i −0.0914795 0.985697i
\(747\) 11.8358 + 6.35410i 0.433048 + 0.232484i
\(748\) −10.0316 18.3958i −0.366791 0.672615i
\(749\) 6.78223i 0.247817i
\(750\) 24.8345 + 11.5433i 0.906828 + 0.421501i
\(751\) 16.5627i 0.604381i −0.953248 0.302191i \(-0.902282\pi\)
0.953248 0.302191i \(-0.0977179\pi\)
\(752\) 4.08347 0.228947i 0.148909 0.00834885i
\(753\) 1.80230 20.1361i 0.0656796 0.733801i
\(754\) 7.82829 0.726519i 0.285089 0.0264583i
\(755\) 11.7156 + 4.35056i 0.426375 + 0.158333i
\(756\) −30.1788 12.6486i −1.09759 0.460024i
\(757\) 19.9055i 0.723479i 0.932279 + 0.361739i \(0.117817\pi\)
−0.932279 + 0.361739i \(0.882183\pi\)
\(758\) 2.49718 4.20610i 0.0907015 0.152773i
\(759\) −6.03322 26.3735i −0.218992 0.957297i
\(760\) 19.7694 + 1.54393i 0.717113 + 0.0560042i
\(761\) −29.7135 + 40.8972i −1.07712 + 1.48252i −0.214458 + 0.976733i \(0.568798\pi\)
−0.862657 + 0.505789i \(0.831202\pi\)
\(762\) 0.0346520 + 10.5850i 0.00125531 + 0.383455i
\(763\) 42.2427 30.6911i 1.52929 1.11109i
\(764\) 20.8113 + 38.1634i 0.752925 + 1.38070i
\(765\) 21.3321 + 24.1980i 0.771264 + 0.874880i
\(766\) −25.0476 + 10.7884i −0.905007 + 0.389800i
\(767\) −15.7911 5.13083i −0.570183 0.185264i
\(768\) 15.7750 22.7849i 0.569231 0.822178i
\(769\) 8.29531 25.5303i 0.299136 0.920647i −0.682664 0.730732i \(-0.739179\pi\)
0.981801 0.189915i \(-0.0608213\pi\)
\(770\) 5.64013 20.9468i 0.203256 0.754869i
\(771\) −3.12713 + 34.9376i −0.112621 + 1.25825i
\(772\) −9.00873 1.16931i −0.324231 0.0420843i
\(773\) 20.6276 + 14.9869i 0.741925 + 0.539040i 0.893313 0.449434i \(-0.148374\pi\)
−0.151388 + 0.988474i \(0.548374\pi\)
\(774\) −2.36832 + 1.42713i −0.0851274 + 0.0512972i