Properties

Label 637.2.w.b.92.7
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.7
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12298 + 1.40817i) q^{2} +(-2.74049 - 1.31975i) q^{3} +(-0.276823 - 1.21284i) q^{4} +(-2.53396 - 1.22029i) q^{5} +(4.93595 - 2.37703i) q^{6} +(-1.05285 - 2.42724i) q^{7} +(-1.22675 - 0.590772i) q^{8} +(3.89808 + 4.88803i) q^{9} +O(q^{10})\) \(q+(-1.12298 + 1.40817i) q^{2} +(-2.74049 - 1.31975i) q^{3} +(-0.276823 - 1.21284i) q^{4} +(-2.53396 - 1.22029i) q^{5} +(4.93595 - 2.37703i) q^{6} +(-1.05285 - 2.42724i) q^{7} +(-1.22675 - 0.590772i) q^{8} +(3.89808 + 4.88803i) q^{9} +(4.56397 - 2.19789i) q^{10} +(3.17207 - 3.97765i) q^{11} +(-0.842016 + 3.68912i) q^{12} +(0.623490 - 0.781831i) q^{13} +(4.60030 + 1.24316i) q^{14} +(5.33382 + 6.68840i) q^{15} +(4.45119 - 2.14358i) q^{16} +(1.01853 - 4.46247i) q^{17} -11.2607 q^{18} -6.08955 q^{19} +(-0.778561 + 3.41110i) q^{20} +(-0.318042 + 8.04133i) q^{21} +(2.03904 + 8.93364i) q^{22} +(-1.71384 - 7.50884i) q^{23} +(2.58223 + 3.23801i) q^{24} +(1.81441 + 2.27520i) q^{25} +(0.400787 + 1.75596i) q^{26} +(-2.20112 - 9.64374i) q^{27} +(-2.65241 + 1.94885i) q^{28} +(-0.224524 + 0.983705i) q^{29} -15.4082 q^{30} -3.95981 q^{31} +(-1.37410 + 6.02033i) q^{32} +(-13.9425 + 6.71437i) q^{33} +(5.14014 + 6.44553i) q^{34} +(-0.294074 + 7.43533i) q^{35} +(4.84933 - 6.08087i) q^{36} +(-1.78303 + 7.81196i) q^{37} +(6.83844 - 8.57513i) q^{38} +(-2.74049 + 1.31975i) q^{39} +(2.38763 + 2.99399i) q^{40} +(-1.56938 - 0.755772i) q^{41} +(-10.9664 - 9.47811i) q^{42} +(1.64536 - 0.792362i) q^{43} +(-5.70236 - 2.74611i) q^{44} +(-3.91275 - 17.1429i) q^{45} +(12.4984 + 6.01889i) q^{46} +(5.86258 - 7.35144i) q^{47} -15.0274 q^{48} +(-4.78303 + 5.11103i) q^{49} -5.24141 q^{50} +(-8.68062 + 10.8852i) q^{51} +(-1.12083 - 0.539765i) q^{52} +(-1.60188 - 7.01827i) q^{53} +(16.0519 + 7.73017i) q^{54} +(-12.8918 + 6.20837i) q^{55} +(-0.142368 + 3.59962i) q^{56} +(16.6884 + 8.03669i) q^{57} +(-1.13309 - 1.42085i) q^{58} +(-4.78645 + 2.30503i) q^{59} +(6.63544 - 8.32058i) q^{60} +(0.909421 - 3.98443i) q^{61} +(4.44678 - 5.57609i) q^{62} +(7.76038 - 14.6079i) q^{63} +(-0.773936 - 0.970485i) q^{64} +(-2.53396 + 1.22029i) q^{65} +(6.20219 - 27.1736i) q^{66} -8.62043 q^{67} -5.69422 q^{68} +(-5.21303 + 22.8398i) q^{69} +(-10.1400 - 8.76383i) q^{70} +(1.07385 + 4.70483i) q^{71} +(-1.89425 - 8.29927i) q^{72} +(0.202349 + 0.253737i) q^{73} +(-8.99828 - 11.2835i) q^{74} +(-1.96968 - 8.62972i) q^{75} +(1.68573 + 7.38565i) q^{76} +(-12.9944 - 3.51153i) q^{77} +(1.21908 - 5.34113i) q^{78} +12.6847 q^{79} -13.8949 q^{80} +(-2.52156 + 11.0477i) q^{81} +(2.82663 - 1.36123i) q^{82} +(-4.50824 - 5.65316i) q^{83} +(9.84090 - 1.84029i) q^{84} +(-8.02644 + 10.0648i) q^{85} +(-0.731920 + 3.20675i) q^{86} +(1.91355 - 2.39952i) q^{87} +(-6.24122 + 3.00561i) q^{88} +(6.12777 + 7.68398i) q^{89} +(28.5341 + 13.7413i) q^{90} +(-2.55413 - 0.690214i) q^{91} +(-8.63260 + 4.15724i) q^{92} +(10.8518 + 5.22596i) q^{93} +(3.76854 + 16.5110i) q^{94} +(15.4307 + 7.43103i) q^{95} +(11.7111 - 14.6852i) q^{96} +4.58831 q^{97} +(-1.82597 - 12.4749i) q^{98} +31.8079 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12298 + 1.40817i −0.794066 + 0.995728i 0.205787 + 0.978597i \(0.434025\pi\)
−0.999853 + 0.0171310i \(0.994547\pi\)
\(3\) −2.74049 1.31975i −1.58222 0.761958i −0.583482 0.812126i \(-0.698310\pi\)
−0.998741 + 0.0501676i \(0.984024\pi\)
\(4\) −0.276823 1.21284i −0.138411 0.606420i
\(5\) −2.53396 1.22029i −1.13322 0.545731i −0.229270 0.973363i \(-0.573634\pi\)
−0.903953 + 0.427632i \(0.859348\pi\)
\(6\) 4.93595 2.37703i 2.01509 0.970418i
\(7\) −1.05285 2.42724i −0.397939 0.917412i
\(8\) −1.22675 0.590772i −0.433722 0.208869i
\(9\) 3.89808 + 4.88803i 1.29936 + 1.62934i
\(10\) 4.56397 2.19789i 1.44325 0.695035i
\(11\) 3.17207 3.97765i 0.956415 1.19931i −0.0234663 0.999725i \(-0.507470\pi\)
0.979881 0.199582i \(-0.0639583\pi\)
\(12\) −0.842016 + 3.68912i −0.243069 + 1.06496i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 4.60030 + 1.24316i 1.22948 + 0.332248i
\(15\) 5.33382 + 6.68840i 1.37719 + 1.72694i
\(16\) 4.45119 2.14358i 1.11280 0.535895i
\(17\) 1.01853 4.46247i 0.247030 1.08231i −0.687433 0.726248i \(-0.741263\pi\)
0.934463 0.356061i \(-0.115880\pi\)
\(18\) −11.2607 −2.65416
\(19\) −6.08955 −1.39704 −0.698519 0.715591i \(-0.746157\pi\)
−0.698519 + 0.715591i \(0.746157\pi\)
\(20\) −0.778561 + 3.41110i −0.174092 + 0.762745i
\(21\) −0.318042 + 8.04133i −0.0694024 + 1.75476i
\(22\) 2.03904 + 8.93364i 0.434726 + 1.90466i
\(23\) −1.71384 7.50884i −0.357361 1.56570i −0.759739 0.650228i \(-0.774673\pi\)
0.402378 0.915474i \(-0.368184\pi\)
\(24\) 2.58223 + 3.23801i 0.527095 + 0.660956i
\(25\) 1.81441 + 2.27520i 0.362882 + 0.455039i
\(26\) 0.400787 + 1.75596i 0.0786008 + 0.344372i
\(27\) −2.20112 9.64374i −0.423606 1.85594i
\(28\) −2.65241 + 1.94885i −0.501258 + 0.368298i
\(29\) −0.224524 + 0.983705i −0.0416931 + 0.182669i −0.991487 0.130208i \(-0.958436\pi\)
0.949794 + 0.312877i \(0.101293\pi\)
\(30\) −15.4082 −2.81314
\(31\) −3.95981 −0.711203 −0.355601 0.934638i \(-0.615724\pi\)
−0.355601 + 0.934638i \(0.615724\pi\)
\(32\) −1.37410 + 6.02033i −0.242909 + 1.06425i
\(33\) −13.9425 + 6.71437i −2.42708 + 1.16882i
\(34\) 5.14014 + 6.44553i 0.881526 + 1.10540i
\(35\) −0.294074 + 7.43533i −0.0497075 + 1.25680i
\(36\) 4.84933 6.08087i 0.808221 1.01348i
\(37\) −1.78303 + 7.81196i −0.293128 + 1.28428i 0.587017 + 0.809574i \(0.300302\pi\)
−0.880145 + 0.474704i \(0.842555\pi\)
\(38\) 6.83844 8.57513i 1.10934 1.39107i
\(39\) −2.74049 + 1.31975i −0.438830 + 0.211329i
\(40\) 2.38763 + 2.99399i 0.377517 + 0.473391i
\(41\) −1.56938 0.755772i −0.245095 0.118032i 0.307304 0.951611i \(-0.400573\pi\)
−0.552399 + 0.833580i \(0.686288\pi\)
\(42\) −10.9664 9.47811i −1.69216 1.46250i
\(43\) 1.64536 0.792362i 0.250915 0.120834i −0.304199 0.952608i \(-0.598389\pi\)
0.555114 + 0.831774i \(0.312675\pi\)
\(44\) −5.70236 2.74611i −0.859662 0.413992i
\(45\) −3.91275 17.1429i −0.583279 2.55551i
\(46\) 12.4984 + 6.01889i 1.84278 + 0.887437i
\(47\) 5.86258 7.35144i 0.855145 1.07232i −0.141457 0.989944i \(-0.545179\pi\)
0.996602 0.0823733i \(-0.0262500\pi\)
\(48\) −15.0274 −2.16902
\(49\) −4.78303 + 5.11103i −0.683290 + 0.730147i
\(50\) −5.24141 −0.741247
\(51\) −8.68062 + 10.8852i −1.21553 + 1.52423i
\(52\) −1.12083 0.539765i −0.155432 0.0748519i
\(53\) −1.60188 7.01827i −0.220034 0.964034i −0.957451 0.288596i \(-0.906812\pi\)
0.737417 0.675438i \(-0.236045\pi\)
\(54\) 16.0519 + 7.73017i 2.18438 + 1.05194i
\(55\) −12.8918 + 6.20837i −1.73833 + 0.837136i
\(56\) −0.142368 + 3.59962i −0.0190247 + 0.481019i
\(57\) 16.6884 + 8.03669i 2.21043 + 1.06449i
\(58\) −1.13309 1.42085i −0.148782 0.186567i
\(59\) −4.78645 + 2.30503i −0.623142 + 0.300090i −0.718685 0.695336i \(-0.755256\pi\)
0.0955426 + 0.995425i \(0.469541\pi\)
\(60\) 6.63544 8.32058i 0.856631 1.07418i
\(61\) 0.909421 3.98443i 0.116439 0.510154i −0.882748 0.469847i \(-0.844309\pi\)
0.999187 0.0403074i \(-0.0128337\pi\)
\(62\) 4.44678 5.57609i 0.564742 0.708164i
\(63\) 7.76038 14.6079i 0.977715 1.84043i
\(64\) −0.773936 0.970485i −0.0967420 0.121311i
\(65\) −2.53396 + 1.22029i −0.314299 + 0.151359i
\(66\) 6.20219 27.1736i 0.763437 3.34484i
\(67\) −8.62043 −1.05315 −0.526577 0.850128i \(-0.676525\pi\)
−0.526577 + 0.850128i \(0.676525\pi\)
\(68\) −5.69422 −0.690525
\(69\) −5.21303 + 22.8398i −0.627574 + 2.74958i
\(70\) −10.1400 8.76383i −1.21196 1.04748i
\(71\) 1.07385 + 4.70483i 0.127442 + 0.558360i 0.997821 + 0.0659779i \(0.0210167\pi\)
−0.870379 + 0.492382i \(0.836126\pi\)
\(72\) −1.89425 8.29927i −0.223240 0.978079i
\(73\) 0.202349 + 0.253737i 0.0236831 + 0.0296977i 0.793532 0.608528i \(-0.208240\pi\)
−0.769849 + 0.638226i \(0.779668\pi\)
\(74\) −8.99828 11.2835i −1.04603 1.31168i
\(75\) −1.96968 8.62972i −0.227439 0.996474i
\(76\) 1.68573 + 7.38565i 0.193366 + 0.847192i
\(77\) −12.9944 3.51153i −1.48085 0.400176i
\(78\) 1.21908 5.34113i 0.138034 0.604764i
\(79\) 12.6847 1.42714 0.713568 0.700586i \(-0.247078\pi\)
0.713568 + 0.700586i \(0.247078\pi\)
\(80\) −13.8949 −1.55350
\(81\) −2.52156 + 11.0477i −0.280173 + 1.22752i
\(82\) 2.82663 1.36123i 0.312149 0.150323i
\(83\) −4.50824 5.65316i −0.494844 0.620515i 0.470213 0.882553i \(-0.344177\pi\)
−0.965058 + 0.262038i \(0.915605\pi\)
\(84\) 9.84090 1.84029i 1.07373 0.200792i
\(85\) −8.02644 + 10.0648i −0.870589 + 1.09168i
\(86\) −0.731920 + 3.20675i −0.0789250 + 0.345793i
\(87\) 1.91355 2.39952i 0.205154 0.257255i
\(88\) −6.24122 + 3.00561i −0.665316 + 0.320400i
\(89\) 6.12777 + 7.68398i 0.649542 + 0.814500i 0.992160 0.124975i \(-0.0398850\pi\)
−0.342618 + 0.939475i \(0.611314\pi\)
\(90\) 28.5341 + 13.7413i 3.00776 + 1.44846i
\(91\) −2.55413 0.690214i −0.267746 0.0723540i
\(92\) −8.63260 + 4.15724i −0.900010 + 0.433422i
\(93\) 10.8518 + 5.22596i 1.12528 + 0.541907i
\(94\) 3.76854 + 16.5110i 0.388695 + 1.70298i
\(95\) 15.4307 + 7.43103i 1.58316 + 0.762408i
\(96\) 11.7111 14.6852i 1.19525 1.49880i
\(97\) 4.58831 0.465873 0.232936 0.972492i \(-0.425167\pi\)
0.232936 + 0.972492i \(0.425167\pi\)
\(98\) −1.82597 12.4749i −0.184450 1.26016i
\(99\) 31.8079 3.19681
\(100\) 2.25718 2.83041i 0.225718 0.283041i
\(101\) −6.02431 2.90115i −0.599441 0.288676i 0.109451 0.993992i \(-0.465091\pi\)
−0.708892 + 0.705317i \(0.750805\pi\)
\(102\) −5.58001 24.4476i −0.552503 2.42067i
\(103\) 9.23015 + 4.44501i 0.909474 + 0.437979i 0.829301 0.558802i \(-0.188739\pi\)
0.0801722 + 0.996781i \(0.474453\pi\)
\(104\) −1.22675 + 0.590772i −0.120293 + 0.0579300i
\(105\) 10.6187 19.9883i 1.03628 1.95066i
\(106\) 11.6818 + 5.62566i 1.13464 + 0.546413i
\(107\) 3.80884 + 4.77614i 0.368215 + 0.461727i 0.931076 0.364824i \(-0.118871\pi\)
−0.562862 + 0.826551i \(0.690300\pi\)
\(108\) −11.0870 + 5.33922i −1.06685 + 0.513766i
\(109\) 3.40615 4.27118i 0.326250 0.409105i −0.591473 0.806324i \(-0.701454\pi\)
0.917723 + 0.397220i \(0.130025\pi\)
\(110\) 5.73479 25.1257i 0.546790 2.39565i
\(111\) 15.1962 19.0555i 1.44236 1.80866i
\(112\) −9.88941 8.54727i −0.934462 0.807641i
\(113\) 3.57343 + 4.48095i 0.336160 + 0.421532i 0.920967 0.389641i \(-0.127401\pi\)
−0.584806 + 0.811173i \(0.698830\pi\)
\(114\) −30.0577 + 14.4750i −2.81516 + 1.35571i
\(115\) −4.82016 + 21.1185i −0.449483 + 1.96931i
\(116\) 1.25523 0.116545
\(117\) 6.25203 0.578000
\(118\) 2.12920 9.32864i 0.196009 0.858771i
\(119\) −11.9039 + 2.22608i −1.09123 + 0.204064i
\(120\) −2.59195 11.3561i −0.236611 1.03666i
\(121\) −3.31194 14.5106i −0.301085 1.31914i
\(122\) 4.58950 + 5.75506i 0.415514 + 0.521038i
\(123\) 3.30343 + 4.14237i 0.297860 + 0.373505i
\(124\) 1.09617 + 4.80262i 0.0984386 + 0.431288i
\(125\) 1.30795 + 5.73049i 0.116986 + 0.512551i
\(126\) 11.8557 + 27.3324i 1.05619 + 2.43496i
\(127\) −3.51267 + 15.3900i −0.311699 + 1.36564i 0.540024 + 0.841649i \(0.318415\pi\)
−0.851723 + 0.523992i \(0.824442\pi\)
\(128\) −10.1146 −0.894012
\(129\) −5.55480 −0.489073
\(130\) 1.12721 4.93862i 0.0988627 0.433146i
\(131\) 17.2757 8.31953i 1.50938 0.726880i 0.517697 0.855564i \(-0.326790\pi\)
0.991686 + 0.128684i \(0.0410753\pi\)
\(132\) 12.0031 + 15.0514i 1.04473 + 1.31005i
\(133\) 6.41136 + 14.7808i 0.555935 + 1.28166i
\(134\) 9.68057 12.1390i 0.836273 1.04865i
\(135\) −6.19062 + 27.1229i −0.532804 + 2.33437i
\(136\) −3.88579 + 4.87262i −0.333203 + 0.417824i
\(137\) −7.61374 + 3.66659i −0.650486 + 0.313258i −0.729869 0.683587i \(-0.760419\pi\)
0.0793833 + 0.996844i \(0.474705\pi\)
\(138\) −26.3082 32.9894i −2.23950 2.80825i
\(139\) −10.2973 4.95890i −0.873403 0.420609i −0.0571921 0.998363i \(-0.518215\pi\)
−0.816210 + 0.577755i \(0.803929\pi\)
\(140\) 9.09927 1.70161i 0.769029 0.143812i
\(141\) −25.7684 + 12.4094i −2.17009 + 1.04506i
\(142\) −7.83111 3.77127i −0.657172 0.316478i
\(143\) −1.13210 4.96005i −0.0946708 0.414780i
\(144\) 27.8290 + 13.4017i 2.31908 + 1.11681i
\(145\) 1.76934 2.21869i 0.146936 0.184252i
\(146\) −0.584540 −0.0483768
\(147\) 19.8531 7.69432i 1.63746 0.634617i
\(148\) 9.96825 0.819385
\(149\) −4.63005 + 5.80590i −0.379309 + 0.475638i −0.934438 0.356126i \(-0.884097\pi\)
0.555129 + 0.831764i \(0.312669\pi\)
\(150\) 14.3640 + 6.91735i 1.17282 + 0.564800i
\(151\) −1.00745 4.41393i −0.0819853 0.359201i 0.917250 0.398313i \(-0.130404\pi\)
−0.999235 + 0.0391121i \(0.987547\pi\)
\(152\) 7.47036 + 3.59754i 0.605926 + 0.291799i
\(153\) 25.7830 12.4164i 2.08443 1.00381i
\(154\) 19.5373 14.3550i 1.57436 1.15676i
\(155\) 10.0340 + 4.83213i 0.805951 + 0.388126i
\(156\) 2.35928 + 2.95844i 0.188893 + 0.236865i
\(157\) −6.53778 + 3.14843i −0.521771 + 0.251272i −0.676182 0.736735i \(-0.736367\pi\)
0.154410 + 0.988007i \(0.450652\pi\)
\(158\) −14.2446 + 17.8622i −1.13324 + 1.42104i
\(159\) −4.87245 + 21.3476i −0.386410 + 1.69297i
\(160\) 10.8285 13.5785i 0.856067 1.07347i
\(161\) −16.4214 + 12.0656i −1.29419 + 0.950901i
\(162\) −12.7254 15.9571i −0.999799 1.25371i
\(163\) −0.741385 + 0.357032i −0.0580698 + 0.0279649i −0.462693 0.886518i \(-0.653117\pi\)
0.404624 + 0.914483i \(0.367403\pi\)
\(164\) −0.482191 + 2.11262i −0.0376528 + 0.164968i
\(165\) 43.5234 3.38829
\(166\) 13.0233 1.01080
\(167\) −0.0328428 + 0.143894i −0.00254145 + 0.0111348i −0.976183 0.216950i \(-0.930389\pi\)
0.973641 + 0.228085i \(0.0732463\pi\)
\(168\) 5.14075 9.67682i 0.396618 0.746583i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −5.15949 22.6052i −0.395715 1.73374i
\(171\) −23.7375 29.7659i −1.81525 2.27626i
\(172\) −1.41648 1.77621i −0.108006 0.135435i
\(173\) 4.97135 + 21.7809i 0.377965 + 1.65597i 0.703690 + 0.710507i \(0.251534\pi\)
−0.325726 + 0.945464i \(0.605609\pi\)
\(174\) 1.23005 + 5.38922i 0.0932502 + 0.408556i
\(175\) 3.61216 6.79944i 0.273054 0.513990i
\(176\) 5.59307 24.5049i 0.421594 1.84712i
\(177\) 16.1593 1.21461
\(178\) −17.7017 −1.32680
\(179\) 4.42315 19.3791i 0.330602 1.44846i −0.487366 0.873198i \(-0.662042\pi\)
0.817968 0.575263i \(-0.195100\pi\)
\(180\) −19.7085 + 9.49109i −1.46898 + 0.707424i
\(181\) 8.88106 + 11.1365i 0.660124 + 0.827770i 0.993357 0.115075i \(-0.0367108\pi\)
−0.333233 + 0.942845i \(0.608139\pi\)
\(182\) 3.84018 2.82157i 0.284653 0.209148i
\(183\) −7.75072 + 9.71909i −0.572949 + 0.718456i
\(184\) −2.33355 + 10.2240i −0.172032 + 0.753721i
\(185\) 14.0510 17.6194i 1.03305 1.29540i
\(186\) −19.5454 + 9.41258i −1.43314 + 0.690164i
\(187\) −14.5193 18.2066i −1.06176 1.33140i
\(188\) −10.5390 5.07532i −0.768637 0.370156i
\(189\) −21.0903 + 15.4960i −1.53409 + 1.12717i
\(190\) −27.7925 + 13.3842i −2.01628 + 0.970990i
\(191\) −13.1500 6.33269i −0.951499 0.458218i −0.107287 0.994228i \(-0.534216\pi\)
−0.844211 + 0.536011i \(0.819931\pi\)
\(192\) 0.840166 + 3.68101i 0.0606338 + 0.265654i
\(193\) −6.27660 3.02265i −0.451800 0.217575i 0.194124 0.980977i \(-0.437813\pi\)
−0.645924 + 0.763402i \(0.723528\pi\)
\(194\) −5.15258 + 6.46113i −0.369934 + 0.463882i
\(195\) 8.55478 0.612621
\(196\) 7.52292 + 4.38620i 0.537351 + 0.313300i
\(197\) −17.8238 −1.26989 −0.634947 0.772556i \(-0.718978\pi\)
−0.634947 + 0.772556i \(0.718978\pi\)
\(198\) −35.7196 + 44.7909i −2.53848 + 3.18315i
\(199\) 20.6839 + 9.96086i 1.46624 + 0.706106i 0.985330 0.170661i \(-0.0545902\pi\)
0.480915 + 0.876767i \(0.340305\pi\)
\(200\) −0.881704 3.86300i −0.0623459 0.273155i
\(201\) 23.6242 + 11.3768i 1.66632 + 0.802459i
\(202\) 10.8505 5.22532i 0.763438 0.367653i
\(203\) 2.62408 0.490715i 0.184174 0.0344415i
\(204\) 15.6049 + 7.51495i 1.09257 + 0.526152i
\(205\) 3.05448 + 3.83020i 0.213334 + 0.267512i
\(206\) −16.6246 + 8.00598i −1.15829 + 0.557803i
\(207\) 30.0228 37.6474i 2.08673 2.61667i
\(208\) 1.09935 4.81658i 0.0762264 0.333970i
\(209\) −19.3165 + 24.2221i −1.33615 + 1.67548i
\(210\) 16.2225 + 37.3994i 1.11946 + 2.58081i
\(211\) −8.16076 10.2333i −0.561810 0.704487i 0.417082 0.908869i \(-0.363053\pi\)
−0.978891 + 0.204382i \(0.934481\pi\)
\(212\) −8.06861 + 3.88564i −0.554154 + 0.266867i
\(213\) 3.26633 14.3107i 0.223806 0.980556i
\(214\) −11.0029 −0.752141
\(215\) −5.13619 −0.350285
\(216\) −2.99703 + 13.1308i −0.203922 + 0.893440i
\(217\) 4.16907 + 9.61142i 0.283015 + 0.652466i
\(218\) 2.18951 + 9.59289i 0.148293 + 0.649712i
\(219\) −0.219665 0.962415i −0.0148436 0.0650340i
\(220\) 11.0985 + 13.9171i 0.748261 + 0.938290i
\(221\) −2.85386 3.57862i −0.191971 0.240724i
\(222\) 9.76831 + 42.7978i 0.655606 + 2.87240i
\(223\) −2.93151 12.8438i −0.196308 0.860083i −0.973111 0.230338i \(-0.926017\pi\)
0.776802 0.629745i \(-0.216840\pi\)
\(224\) 16.0595 3.00321i 1.07302 0.200660i
\(225\) −4.04853 + 17.7378i −0.269902 + 1.18252i
\(226\) −10.3228 −0.686665
\(227\) −9.59818 −0.637053 −0.318527 0.947914i \(-0.603188\pi\)
−0.318527 + 0.947914i \(0.603188\pi\)
\(228\) 5.12750 22.4651i 0.339577 1.48778i
\(229\) 14.3777 6.92392i 0.950103 0.457545i 0.106380 0.994325i \(-0.466074\pi\)
0.843722 + 0.536780i \(0.180360\pi\)
\(230\) −24.3256 30.5033i −1.60398 2.01133i
\(231\) 30.9768 + 26.7727i 2.03812 + 1.76152i
\(232\) 0.856581 1.07412i 0.0562373 0.0705193i
\(233\) 2.64718 11.5981i 0.173423 0.759815i −0.811150 0.584838i \(-0.801158\pi\)
0.984573 0.174976i \(-0.0559849\pi\)
\(234\) −7.02090 + 8.80393i −0.458971 + 0.575531i
\(235\) −23.8265 + 11.4742i −1.55427 + 0.748496i
\(236\) 4.12063 + 5.16711i 0.268230 + 0.336350i
\(237\) −34.7622 16.7406i −2.25805 1.08742i
\(238\) 10.2331 19.2625i 0.663313 1.24860i
\(239\) 25.7395 12.3955i 1.66495 0.801796i 0.666534 0.745475i \(-0.267777\pi\)
0.998413 0.0563216i \(-0.0179372\pi\)
\(240\) 38.0790 + 18.3379i 2.45799 + 1.18370i
\(241\) −1.07796 4.72287i −0.0694378 0.304227i 0.928269 0.371909i \(-0.121297\pi\)
−0.997707 + 0.0676824i \(0.978440\pi\)
\(242\) 24.1526 + 11.6313i 1.55259 + 0.747687i
\(243\) 2.98828 3.74718i 0.191698 0.240382i
\(244\) −5.08423 −0.325484
\(245\) 18.3570 7.11447i 1.17278 0.454527i
\(246\) −9.54285 −0.608430
\(247\) −3.79677 + 4.76100i −0.241583 + 0.302935i
\(248\) 4.85770 + 2.33934i 0.308464 + 0.148549i
\(249\) 4.89404 + 21.4422i 0.310147 + 1.35884i
\(250\) −9.53831 4.59341i −0.603256 0.290513i
\(251\) −18.3833 + 8.85294i −1.16035 + 0.558793i −0.912126 0.409911i \(-0.865560\pi\)
−0.248220 + 0.968704i \(0.579845\pi\)
\(252\) −19.8653 5.36829i −1.25140 0.338170i
\(253\) −35.3040 17.0015i −2.21954 1.06887i
\(254\) −17.7271 22.2291i −1.11230 1.39478i
\(255\) 35.2794 16.9897i 2.20928 1.06394i
\(256\) 12.9063 16.1841i 0.806647 1.01150i
\(257\) 4.17791 18.3046i 0.260611 1.14181i −0.659981 0.751283i \(-0.729436\pi\)
0.920591 0.390527i \(-0.127707\pi\)
\(258\) 6.23793 7.82212i 0.388357 0.486984i
\(259\) 20.8388 3.89695i 1.29486 0.242145i
\(260\) 2.18148 + 2.73549i 0.135290 + 0.169648i
\(261\) −5.68360 + 2.73708i −0.351806 + 0.169421i
\(262\) −7.68491 + 33.6698i −0.474775 + 2.08013i
\(263\) 32.0072 1.97365 0.986824 0.161797i \(-0.0517289\pi\)
0.986824 + 0.161797i \(0.0517289\pi\)
\(264\) 21.0707 1.29681
\(265\) −4.50525 + 19.7388i −0.276755 + 1.21255i
\(266\) −28.0138 7.57027i −1.71763 0.464163i
\(267\) −6.65216 29.1450i −0.407105 1.78364i
\(268\) 2.38633 + 10.4552i 0.145768 + 0.638653i
\(269\) −5.70492 7.15374i −0.347835 0.436171i 0.576882 0.816828i \(-0.304269\pi\)
−0.924716 + 0.380657i \(0.875698\pi\)
\(270\) −31.2418 39.1759i −1.90131 2.38417i
\(271\) −1.65120 7.23436i −0.100303 0.439456i −0.999996 0.00293224i \(-0.999067\pi\)
0.899693 0.436524i \(-0.143791\pi\)
\(272\) −5.03199 22.0466i −0.305110 1.33677i
\(273\) 6.08867 + 5.26234i 0.368503 + 0.318492i
\(274\) 3.38690 14.8390i 0.204610 0.896454i
\(275\) 14.8054 0.892797
\(276\) 29.1441 1.75427
\(277\) −6.47512 + 28.3694i −0.389052 + 1.70455i 0.278878 + 0.960326i \(0.410037\pi\)
−0.667931 + 0.744223i \(0.732820\pi\)
\(278\) 18.5466 8.93157i 1.11235 0.535680i
\(279\) −15.4356 19.3557i −0.924108 1.15879i
\(280\) 4.75334 8.94756i 0.284066 0.534719i
\(281\) −5.95708 + 7.46995i −0.355370 + 0.445620i −0.927096 0.374825i \(-0.877703\pi\)
0.571726 + 0.820445i \(0.306274\pi\)
\(282\) 11.4628 50.2219i 0.682601 2.99067i
\(283\) −4.90424 + 6.14972i −0.291527 + 0.365563i −0.905929 0.423430i \(-0.860826\pi\)
0.614402 + 0.788993i \(0.289397\pi\)
\(284\) 5.40894 2.60481i 0.320962 0.154567i
\(285\) −32.4806 40.7293i −1.92398 2.41260i
\(286\) 8.25592 + 3.97584i 0.488183 + 0.235097i
\(287\) −0.182131 + 4.60497i −0.0107508 + 0.271823i
\(288\) −34.7839 + 16.7511i −2.04966 + 0.987066i
\(289\) −3.55977 1.71430i −0.209398 0.100841i
\(290\) 1.13736 + 4.98308i 0.0667878 + 0.292617i
\(291\) −12.5742 6.05543i −0.737114 0.354976i
\(292\) 0.251728 0.315657i 0.0147313 0.0184724i
\(293\) −29.4158 −1.71849 −0.859245 0.511565i \(-0.829066\pi\)
−0.859245 + 0.511565i \(0.829066\pi\)
\(294\) −11.4597 + 36.5972i −0.668345 + 2.13439i
\(295\) 14.9415 0.869928
\(296\) 6.80242 8.52997i 0.395383 0.495794i
\(297\) −45.3415 21.8353i −2.63098 1.26701i
\(298\) −2.97625 13.0398i −0.172410 0.755376i
\(299\) −6.93921 3.34175i −0.401305 0.193258i
\(300\) −9.92122 + 4.77781i −0.572802 + 0.275847i
\(301\) −3.65556 3.15945i −0.210703 0.182107i
\(302\) 7.34693 + 3.53809i 0.422768 + 0.203594i
\(303\) 12.6808 + 15.9012i 0.728491 + 0.913498i
\(304\) −27.1057 + 13.0534i −1.55462 + 0.748666i
\(305\) −7.16661 + 8.98665i −0.410359 + 0.514574i
\(306\) −11.4693 + 50.2503i −0.655657 + 2.87262i
\(307\) 6.43011 8.06310i 0.366986 0.460186i −0.563714 0.825970i \(-0.690628\pi\)
0.930700 + 0.365785i \(0.119199\pi\)
\(308\) −0.661775 + 16.7322i −0.0377081 + 0.953408i
\(309\) −19.4288 24.3630i −1.10527 1.38596i
\(310\) −18.0725 + 8.70323i −1.02645 + 0.494311i
\(311\) −3.26773 + 14.3168i −0.185296 + 0.811833i 0.793758 + 0.608233i \(0.208121\pi\)
−0.979054 + 0.203600i \(0.934736\pi\)
\(312\) 4.14157 0.234470
\(313\) −18.3587 −1.03770 −0.518848 0.854867i \(-0.673639\pi\)
−0.518848 + 0.854867i \(0.673639\pi\)
\(314\) 2.90826 12.7419i 0.164123 0.719069i
\(315\) −37.4905 + 27.5460i −2.11235 + 1.55204i
\(316\) −3.51140 15.3845i −0.197532 0.865444i
\(317\) −5.61189 24.5873i −0.315195 1.38096i −0.845872 0.533386i \(-0.820919\pi\)
0.530677 0.847574i \(-0.321938\pi\)
\(318\) −24.5894 30.8341i −1.37891 1.72909i
\(319\) 3.20063 + 4.01346i 0.179201 + 0.224711i
\(320\) 0.776850 + 3.40360i 0.0434272 + 0.190267i
\(321\) −4.13479 18.1157i −0.230781 1.01112i
\(322\) 1.45047 36.6735i 0.0808315 2.04374i
\(323\) −6.20239 + 27.1744i −0.345110 + 1.51203i
\(324\) 14.0971 0.783172
\(325\) 2.91008 0.161422
\(326\) 0.329797 1.44494i 0.0182658 0.0800277i
\(327\) −14.9714 + 7.20985i −0.827921 + 0.398706i
\(328\) 1.47874 + 1.85429i 0.0816500 + 0.102386i
\(329\) −24.0161 6.48997i −1.32405 0.357804i
\(330\) −48.8758 + 61.2884i −2.69053 + 3.37381i
\(331\) 2.96484 12.9898i 0.162962 0.713984i −0.825735 0.564058i \(-0.809239\pi\)
0.988697 0.149926i \(-0.0479036\pi\)
\(332\) −5.60840 + 7.03271i −0.307801 + 0.385970i
\(333\) −45.1355 + 21.7361i −2.47341 + 1.19113i
\(334\) −0.165745 0.207838i −0.00906918 0.0113724i
\(335\) 21.8439 + 10.5194i 1.19346 + 0.574739i
\(336\) 15.8216 + 36.4753i 0.863138 + 1.98989i
\(337\) 29.5100 14.2113i 1.60751 0.774136i 0.607711 0.794158i \(-0.292088\pi\)
0.999800 + 0.0200221i \(0.00637365\pi\)
\(338\) 1.62275 + 0.781476i 0.0882661 + 0.0425067i
\(339\) −3.87923 16.9960i −0.210691 0.923098i
\(340\) 14.4289 + 6.94861i 0.782519 + 0.376841i
\(341\) −12.5608 + 15.7507i −0.680205 + 0.852950i
\(342\) 68.5723 3.70797
\(343\) 17.4415 + 6.22845i 0.941753 + 0.336305i
\(344\) −2.48655 −0.134066
\(345\) 41.0808 51.5137i 2.21172 2.77340i
\(346\) −36.2540 17.4590i −1.94903 0.938601i
\(347\) −1.87342 8.20801i −0.100571 0.440629i −0.999994 0.00354973i \(-0.998870\pi\)
0.899423 0.437079i \(-0.143987\pi\)
\(348\) −3.43995 1.65659i −0.184401 0.0888026i
\(349\) 30.3911 14.6356i 1.62680 0.783425i 0.626808 0.779173i \(-0.284361\pi\)
0.999991 0.00425176i \(-0.00135338\pi\)
\(350\) 5.51840 + 12.7222i 0.294971 + 0.680029i
\(351\) −8.91216 4.29187i −0.475696 0.229083i
\(352\) 19.5880 + 24.5626i 1.04405 + 1.30919i
\(353\) −2.75133 + 1.32497i −0.146439 + 0.0705212i −0.505668 0.862728i \(-0.668754\pi\)
0.359229 + 0.933249i \(0.383040\pi\)
\(354\) −18.1465 + 22.7550i −0.964478 + 1.20942i
\(355\) 3.02018 13.2323i 0.160294 0.702296i
\(356\) 7.62313 9.55911i 0.404025 0.506632i
\(357\) 35.5603 + 9.60959i 1.88205 + 0.508593i
\(358\) 22.3220 + 27.9909i 1.17975 + 1.47936i
\(359\) 6.19226 2.98204i 0.326815 0.157386i −0.263280 0.964719i \(-0.584804\pi\)
0.590095 + 0.807334i \(0.299090\pi\)
\(360\) −5.32757 + 23.3416i −0.280787 + 1.23021i
\(361\) 18.0826 0.951717
\(362\) −25.6554 −1.34842
\(363\) −10.0740 + 44.1370i −0.528746 + 2.31659i
\(364\) −0.130076 + 3.28883i −0.00681783 + 0.172381i
\(365\) −0.203111 0.889886i −0.0106313 0.0465788i
\(366\) −4.98225 21.8287i −0.260427 1.14100i
\(367\) 12.7495 + 15.9874i 0.665519 + 0.834534i 0.993932 0.110000i \(-0.0350851\pi\)
−0.328413 + 0.944534i \(0.606514\pi\)
\(368\) −23.7245 29.7495i −1.23672 1.55080i
\(369\) −2.42331 10.6172i −0.126153 0.552710i
\(370\) 9.03216 + 39.5725i 0.469560 + 2.05727i
\(371\) −15.3485 + 11.2773i −0.796856 + 0.585489i
\(372\) 3.33422 14.6082i 0.172871 0.757399i
\(373\) −7.04532 −0.364793 −0.182396 0.983225i \(-0.558385\pi\)
−0.182396 + 0.983225i \(0.558385\pi\)
\(374\) 41.9429 2.16882
\(375\) 3.97840 17.4305i 0.205444 0.900108i
\(376\) −11.5349 + 5.55494i −0.594869 + 0.286474i
\(377\) 0.629103 + 0.788870i 0.0324005 + 0.0406289i
\(378\) 1.86286 47.1005i 0.0958154 2.42259i
\(379\) 4.73848 5.94187i 0.243399 0.305213i −0.645093 0.764104i \(-0.723182\pi\)
0.888493 + 0.458891i \(0.151753\pi\)
\(380\) 4.74109 20.7721i 0.243213 1.06558i
\(381\) 29.9374 37.5403i 1.53374 1.92325i
\(382\) 23.6847 11.4059i 1.21181 0.583578i
\(383\) 0.845365 + 1.06005i 0.0431961 + 0.0541663i 0.802960 0.596032i \(-0.203257\pi\)
−0.759764 + 0.650199i \(0.774686\pi\)
\(384\) 27.7189 + 13.3487i 1.41453 + 0.681200i
\(385\) 28.6423 + 24.7551i 1.45975 + 1.26164i
\(386\) 11.3049 5.44416i 0.575405 0.277100i
\(387\) 10.2868 + 4.95387i 0.522908 + 0.251819i
\(388\) −1.27015 5.56489i −0.0644821 0.282515i
\(389\) −27.3983 13.1943i −1.38915 0.668978i −0.418219 0.908346i \(-0.637345\pi\)
−0.970929 + 0.239368i \(0.923060\pi\)
\(390\) −9.60685 + 12.0466i −0.486462 + 0.610004i
\(391\) −35.2536 −1.78285
\(392\) 8.88704 3.44428i 0.448863 0.173962i
\(393\) −58.3235 −2.94203
\(394\) 20.0158 25.0990i 1.00838 1.26447i
\(395\) −32.1424 15.4790i −1.61726 0.778832i
\(396\) −8.80514 38.5779i −0.442475 1.93861i
\(397\) 35.1826 + 16.9430i 1.76576 + 0.850346i 0.969385 + 0.245547i \(0.0789674\pi\)
0.796378 + 0.604800i \(0.206747\pi\)
\(398\) −37.2542 + 17.9407i −1.86739 + 0.899286i
\(399\) 1.93673 48.9681i 0.0969578 2.45147i
\(400\) 12.9533 + 6.23800i 0.647667 + 0.311900i
\(401\) 8.52935 + 10.6955i 0.425935 + 0.534106i 0.947776 0.318937i \(-0.103326\pi\)
−0.521841 + 0.853043i \(0.674754\pi\)
\(402\) −42.5500 + 20.4910i −2.12220 + 1.02200i
\(403\) −2.46890 + 3.09590i −0.122985 + 0.154218i
\(404\) −1.85097 + 8.10963i −0.0920892 + 0.403469i
\(405\) 19.8709 24.9174i 0.987395 1.23815i
\(406\) −2.25578 + 4.24622i −0.111952 + 0.210736i
\(407\) 25.4174 + 31.8724i 1.25989 + 1.57985i
\(408\) 17.0796 8.22510i 0.845566 0.407203i
\(409\) −2.18546 + 9.57512i −0.108064 + 0.473459i 0.891718 + 0.452591i \(0.149500\pi\)
−0.999782 + 0.0208682i \(0.993357\pi\)
\(410\) −8.82369 −0.435771
\(411\) 25.7044 1.26790
\(412\) 2.83597 12.4252i 0.139718 0.612145i
\(413\) 10.6343 + 9.19103i 0.523278 + 0.452261i
\(414\) 19.2990 + 84.5545i 0.948494 + 4.15562i
\(415\) 4.52522 + 19.8263i 0.222134 + 0.973234i
\(416\) 3.85015 + 4.82793i 0.188769 + 0.236709i
\(417\) 21.6750 + 27.1796i 1.06143 + 1.33099i
\(418\) −12.4169 54.4018i −0.607329 2.66088i
\(419\) 5.04081 + 22.0852i 0.246260 + 1.07893i 0.935201 + 0.354117i \(0.115218\pi\)
−0.688942 + 0.724817i \(0.741924\pi\)
\(420\) −27.1822 7.34554i −1.32635 0.358426i
\(421\) −3.82952 + 16.7782i −0.186640 + 0.817721i 0.791732 + 0.610868i \(0.209179\pi\)
−0.978372 + 0.206853i \(0.933678\pi\)
\(422\) 23.5746 1.14759
\(423\) 58.7869 2.85832
\(424\) −2.18110 + 9.55601i −0.105923 + 0.464081i
\(425\) 12.0010 5.77939i 0.582135 0.280342i
\(426\) 16.4840 + 20.6702i 0.798651 + 1.00148i
\(427\) −10.6287 + 1.98761i −0.514357 + 0.0961871i
\(428\) 4.73832 5.94166i 0.229035 0.287201i
\(429\) −3.44352 + 15.0870i −0.166255 + 0.728410i
\(430\) 5.76783 7.23263i 0.278150 0.348789i
\(431\) −29.5837 + 14.2468i −1.42500 + 0.686242i −0.978060 0.208323i \(-0.933199\pi\)
−0.446937 + 0.894565i \(0.647485\pi\)
\(432\) −30.4697 38.2078i −1.46598 1.83828i
\(433\) −17.3368 8.34896i −0.833153 0.401225i −0.0318563 0.999492i \(-0.510142\pi\)
−0.801297 + 0.598267i \(0.795856\pi\)
\(434\) −18.2163 4.92266i −0.874411 0.236295i
\(435\) −7.77699 + 3.74520i −0.372878 + 0.179569i
\(436\) −6.12316 2.94876i −0.293246 0.141220i
\(437\) 10.4365 + 45.7255i 0.499247 + 2.18735i
\(438\) 1.60193 + 0.771447i 0.0765430 + 0.0368611i
\(439\) −2.61341 + 3.27711i −0.124731 + 0.156408i −0.840276 0.542159i \(-0.817607\pi\)
0.715545 + 0.698567i \(0.246179\pi\)
\(440\) 19.4828 0.928804
\(441\) −43.6275 3.45642i −2.07750 0.164591i
\(442\) 8.24414 0.392134
\(443\) −6.09157 + 7.63859i −0.289419 + 0.362920i −0.905191 0.425004i \(-0.860273\pi\)
0.615772 + 0.787924i \(0.288844\pi\)
\(444\) −27.3179 13.1556i −1.29645 0.624337i
\(445\) −6.15084 26.9486i −0.291578 1.27749i
\(446\) 21.3783 + 10.2952i 1.01229 + 0.487493i
\(447\) 20.3510 9.80050i 0.962567 0.463548i
\(448\) −1.54077 + 2.90030i −0.0727945 + 0.137026i
\(449\) −1.48910 0.717112i −0.0702749 0.0338426i 0.398416 0.917205i \(-0.369560\pi\)
−0.468691 + 0.883362i \(0.655274\pi\)
\(450\) −20.4314 25.6202i −0.963146 1.20775i
\(451\) −7.98436 + 3.84507i −0.375969 + 0.181057i
\(452\) 4.44546 5.57443i 0.209097 0.262199i
\(453\) −3.06438 + 13.4259i −0.143977 + 0.630805i
\(454\) 10.7786 13.5159i 0.505863 0.634332i
\(455\) 5.62982 + 4.86577i 0.263930 + 0.228111i
\(456\) −15.7246 19.7180i −0.736372 0.923381i
\(457\) −12.4699 + 6.00516i −0.583315 + 0.280910i −0.702179 0.712001i \(-0.747789\pi\)
0.118863 + 0.992911i \(0.462075\pi\)
\(458\) −6.39576 + 28.0216i −0.298854 + 1.30936i
\(459\) −45.2768 −2.11334
\(460\) 26.9477 1.25644
\(461\) −5.72917 + 25.1012i −0.266834 + 1.16908i 0.646839 + 0.762627i \(0.276091\pi\)
−0.913673 + 0.406450i \(0.866766\pi\)
\(462\) −72.4869 + 13.5554i −3.37239 + 0.630653i
\(463\) −2.70562 11.8541i −0.125741 0.550907i −0.998076 0.0619989i \(-0.980252\pi\)
0.872335 0.488908i \(-0.162605\pi\)
\(464\) 1.10925 + 4.85995i 0.0514957 + 0.225617i
\(465\) −21.1209 26.4848i −0.979459 1.22820i
\(466\) 13.3593 + 16.7521i 0.618860 + 0.776025i
\(467\) 5.30712 + 23.2520i 0.245584 + 1.07597i 0.935844 + 0.352413i \(0.114639\pi\)
−0.690260 + 0.723561i \(0.742504\pi\)
\(468\) −1.73071 7.58271i −0.0800019 0.350511i
\(469\) 9.07599 + 20.9239i 0.419090 + 0.966175i
\(470\) 10.5990 46.4371i 0.488894 2.14198i
\(471\) 22.0719 1.01702
\(472\) 7.23353 0.332950
\(473\) 2.06745 9.05808i 0.0950613 0.416491i
\(474\) 62.6108 30.1518i 2.87581 1.38492i
\(475\) −11.0489 13.8549i −0.506960 0.635707i
\(476\) 5.99514 + 13.8213i 0.274787 + 0.633496i
\(477\) 28.0613 35.1878i 1.28484 1.61114i
\(478\) −11.4499 + 50.1654i −0.523708 + 2.29451i
\(479\) 20.4241 25.6110i 0.933202 1.17020i −0.0519737 0.998648i \(-0.516551\pi\)
0.985175 0.171550i \(-0.0548774\pi\)
\(480\) −47.5956 + 22.9208i −2.17243 + 1.04619i
\(481\) 4.99594 + 6.26471i 0.227795 + 0.285646i
\(482\) 7.86114 + 3.78573i 0.358065 + 0.172435i
\(483\) 60.9262 11.3935i 2.77224 0.518421i
\(484\) −16.6822 + 8.03371i −0.758280 + 0.365168i
\(485\) −11.6266 5.59908i −0.527938 0.254241i
\(486\) 1.92090 + 8.41601i 0.0871338 + 0.381758i
\(487\) 6.40155 + 3.08282i 0.290082 + 0.139696i 0.573266 0.819370i \(-0.305676\pi\)
−0.283184 + 0.959066i \(0.591391\pi\)
\(488\) −3.46952 + 4.35065i −0.157058 + 0.196944i
\(489\) 2.50295 0.113187
\(490\) −10.5961 + 33.8392i −0.478683 + 1.52870i
\(491\) 15.8484 0.715227 0.357613 0.933870i \(-0.383591\pi\)
0.357613 + 0.933870i \(0.383591\pi\)
\(492\) 4.10957 5.15324i 0.185274 0.232326i
\(493\) 4.16107 + 2.00387i 0.187405 + 0.0902496i
\(494\) −2.44061 10.6930i −0.109808 0.481102i
\(495\) −80.5999 38.8149i −3.62270 1.74460i
\(496\) −17.6259 + 8.48817i −0.791425 + 0.381130i
\(497\) 10.2892 7.55995i 0.461532 0.339110i
\(498\) −35.6902 17.1875i −1.59932 0.770190i
\(499\) 0.820116 + 1.02839i 0.0367134 + 0.0460372i 0.799849 0.600201i \(-0.204913\pi\)
−0.763136 + 0.646238i \(0.776341\pi\)
\(500\) 6.58810 3.17266i 0.294629 0.141886i
\(501\) 0.279909 0.350995i 0.0125054 0.0156813i
\(502\) 8.17763 35.8286i 0.364986 1.59911i
\(503\) −9.68547 + 12.1452i −0.431854 + 0.541528i −0.949376 0.314142i \(-0.898283\pi\)
0.517522 + 0.855670i \(0.326855\pi\)
\(504\) −18.1500 + 13.3357i −0.808465 + 0.594018i
\(505\) 11.7251 + 14.7028i 0.521761 + 0.654268i
\(506\) 63.5867 30.6217i 2.82677 1.36130i
\(507\) −0.676845 + 2.96545i −0.0300598 + 0.131700i
\(508\) 19.6380 0.871295
\(509\) 22.8711 1.01374 0.506872 0.862021i \(-0.330802\pi\)
0.506872 + 0.862021i \(0.330802\pi\)
\(510\) −15.6937 + 68.7586i −0.694929 + 3.04468i
\(511\) 0.402841 0.758297i 0.0178206 0.0335451i
\(512\) 3.79494 + 16.6267i 0.167714 + 0.734804i
\(513\) 13.4038 + 58.7260i 0.591794 + 2.59282i
\(514\) 21.0843 + 26.4389i 0.929990 + 1.16617i
\(515\) −17.9647 22.5270i −0.791617 0.992657i
\(516\) 1.53770 + 6.73709i 0.0676933 + 0.296584i
\(517\) −10.6449 46.6386i −0.468164 2.05116i
\(518\) −17.9140 + 33.7208i −0.787095 + 1.48161i
\(519\) 15.1214 66.2513i 0.663757 2.90811i
\(520\) 3.82946 0.167933
\(521\) 36.7196 1.60872 0.804358 0.594145i \(-0.202509\pi\)
0.804358 + 0.594145i \(0.202509\pi\)
\(522\) 2.52829 11.0772i 0.110660 0.484834i
\(523\) −6.56926 + 3.16359i −0.287254 + 0.138334i −0.571962 0.820280i \(-0.693818\pi\)
0.284708 + 0.958614i \(0.408103\pi\)
\(524\) −14.8726 18.6496i −0.649711 0.814712i
\(525\) −18.8727 + 13.8667i −0.823671 + 0.605190i
\(526\) −35.9434 + 45.0716i −1.56721 + 1.96522i
\(527\) −4.03318 + 17.6705i −0.175688 + 0.769741i
\(528\) −47.6681 + 59.7739i −2.07449 + 2.60132i
\(529\) −32.7232 + 15.7586i −1.42275 + 0.685158i
\(530\) −22.7363 28.5104i −0.987603 1.23841i
\(531\) −29.9250 14.4111i −1.29863 0.625390i
\(532\) 16.1520 11.8676i 0.700277 0.514527i
\(533\) −1.56938 + 0.755772i −0.0679772 + 0.0327361i
\(534\) 48.5114 + 23.3619i 2.09929 + 1.01097i
\(535\) −3.82318 16.7505i −0.165291 0.724186i
\(536\) 10.5751 + 5.09271i 0.456775 + 0.219971i
\(537\) −37.6972 + 47.2707i −1.62675 + 2.03988i
\(538\) 16.4802 0.710512
\(539\) 5.15779 + 35.2378i 0.222162 + 1.51780i
\(540\) 34.6095 1.48935
\(541\) 22.0375 27.6342i 0.947468 1.18809i −0.0345695 0.999402i \(-0.511006\pi\)
0.982038 0.188685i \(-0.0604226\pi\)
\(542\) 12.0415 + 5.79887i 0.517226 + 0.249083i
\(543\) −9.64107 42.2403i −0.413738 1.81270i
\(544\) 25.4660 + 12.2638i 1.09185 + 0.525805i
\(545\) −13.8431 + 6.66651i −0.592975 + 0.285562i
\(546\) −14.2477 + 2.66439i −0.609747 + 0.114025i
\(547\) −14.9863 7.21704i −0.640770 0.308579i 0.0851393 0.996369i \(-0.472866\pi\)
−0.725909 + 0.687791i \(0.758581\pi\)
\(548\) 6.55464 + 8.21926i 0.280000 + 0.351110i
\(549\) 23.0210 11.0863i 0.982514 0.473154i
\(550\) −16.6261 + 20.8485i −0.708940 + 0.888983i
\(551\) 1.36725 5.99032i 0.0582469 0.255196i
\(552\) 19.8882 24.9390i 0.846497 1.06147i
\(553\) −13.3550 30.7888i −0.567912 1.30927i
\(554\) −32.6775 40.9763i −1.38833 1.74092i
\(555\) −61.7599 + 29.7420i −2.62156 + 1.26248i
\(556\) −3.16384 + 13.8617i −0.134177 + 0.587866i
\(557\) −14.6642 −0.621343 −0.310671 0.950517i \(-0.600554\pi\)
−0.310671 + 0.950517i \(0.600554\pi\)
\(558\) 44.5900 1.88765
\(559\) 0.406370 1.78042i 0.0171876 0.0753038i
\(560\) 14.6292 + 33.7264i 0.618199 + 1.42520i
\(561\) 15.7618 + 69.0569i 0.665463 + 2.91559i
\(562\) −3.82929 16.7772i −0.161529 0.707703i
\(563\) −14.4180 18.0796i −0.607646 0.761964i 0.378902 0.925437i \(-0.376302\pi\)
−0.986548 + 0.163473i \(0.947730\pi\)
\(564\) 22.1839 + 27.8178i 0.934112 + 1.17134i
\(565\) −3.58689 15.7152i −0.150902 0.661143i
\(566\) −3.15250 13.8120i −0.132510 0.580563i
\(567\) 29.4702 5.51106i 1.23763 0.231443i
\(568\) 1.46214 6.40605i 0.0613500 0.268792i
\(569\) −29.8282 −1.25046 −0.625231 0.780440i \(-0.714995\pi\)
−0.625231 + 0.780440i \(0.714995\pi\)
\(570\) 93.8289 3.93006
\(571\) 4.75355 20.8266i 0.198930 0.871568i −0.772646 0.634837i \(-0.781067\pi\)
0.971575 0.236730i \(-0.0760758\pi\)
\(572\) −5.70236 + 2.74611i −0.238427 + 0.114821i
\(573\) 27.6798 + 34.7094i 1.15634 + 1.45000i
\(574\) −6.28006 5.42776i −0.262125 0.226550i
\(575\) 13.9745 17.5234i 0.582776 0.730778i
\(576\) 1.72690 7.56605i 0.0719542 0.315252i
\(577\) −3.43078 + 4.30206i −0.142825 + 0.179097i −0.848099 0.529838i \(-0.822253\pi\)
0.705274 + 0.708935i \(0.250824\pi\)
\(578\) 6.41158 3.08765i 0.266686 0.128429i
\(579\) 13.2118 + 16.5671i 0.549064 + 0.688505i
\(580\) −3.18071 1.53175i −0.132072 0.0636024i
\(581\) −8.97511 + 16.8945i −0.372350 + 0.700903i
\(582\) 22.6477 10.9066i 0.938777 0.452091i
\(583\) −32.9975 15.8908i −1.36662 0.658128i
\(584\) −0.0983306 0.430815i −0.00406895 0.0178272i
\(585\) −15.8424 7.62930i −0.655003 0.315433i
\(586\) 33.0333 41.4225i 1.36459 1.71115i
\(587\) 14.2785 0.589335 0.294668 0.955600i \(-0.404791\pi\)
0.294668 + 0.955600i \(0.404791\pi\)
\(588\) −14.8278 21.9487i −0.611488 0.905150i
\(589\) 24.1135 0.993578
\(590\) −16.7790 + 21.0402i −0.690780 + 0.866211i
\(591\) 48.8460 + 23.5230i 2.00926 + 0.967606i
\(592\) 8.80897 + 38.5946i 0.362046 + 1.58623i
\(593\) 27.1902 + 13.0941i 1.11657 + 0.537711i 0.898830 0.438296i \(-0.144418\pi\)
0.217738 + 0.976007i \(0.430132\pi\)
\(594\) 81.6655 39.3280i 3.35078 1.61365i
\(595\) 32.8804 + 8.88540i 1.34797 + 0.364266i
\(596\) 8.32334 + 4.00831i 0.340937 + 0.164187i
\(597\) −43.5383 54.5953i −1.78190 2.23444i
\(598\) 12.4984 6.01889i 0.511096 0.246131i
\(599\) −5.89176 + 7.38803i −0.240731 + 0.301867i −0.887490 0.460828i \(-0.847553\pi\)
0.646759 + 0.762695i \(0.276124\pi\)
\(600\) −2.68189 + 11.7501i −0.109488 + 0.479698i
\(601\) −1.28443 + 1.61063i −0.0523931 + 0.0656989i −0.807338 0.590090i \(-0.799092\pi\)
0.754945 + 0.655789i \(0.227664\pi\)
\(602\) 8.55417 1.59967i 0.348642 0.0651976i
\(603\) −33.6031 42.1369i −1.36842 1.71595i
\(604\) −5.07451 + 2.44376i −0.206479 + 0.0994350i
\(605\) −9.31478 + 40.8107i −0.378700 + 1.65919i
\(606\) −36.6318 −1.48807
\(607\) 18.7711 0.761896 0.380948 0.924596i \(-0.375598\pi\)
0.380948 + 0.924596i \(0.375598\pi\)
\(608\) 8.36766 36.6611i 0.339353 1.48680i
\(609\) −7.83889 2.11833i −0.317648 0.0858392i
\(610\) −4.60678 20.1836i −0.186523 0.817212i
\(611\) −2.09233 9.16710i −0.0846466 0.370861i
\(612\) −22.1965 27.8335i −0.897240 1.12510i
\(613\) 5.94705 + 7.45736i 0.240199 + 0.301200i 0.887289 0.461213i \(-0.152586\pi\)
−0.647090 + 0.762413i \(0.724014\pi\)
\(614\) 4.13335 + 18.1094i 0.166809 + 0.730836i
\(615\) −3.31587 14.5278i −0.133709 0.585816i
\(616\) 13.8664 + 11.9845i 0.558693 + 0.482870i
\(617\) 3.62786 15.8947i 0.146052 0.639897i −0.847907 0.530145i \(-0.822137\pi\)
0.993959 0.109752i \(-0.0350055\pi\)
\(618\) 56.1255 2.25770
\(619\) −40.3940 −1.62357 −0.811786 0.583955i \(-0.801504\pi\)
−0.811786 + 0.583955i \(0.801504\pi\)
\(620\) 3.08295 13.5073i 0.123814 0.542466i
\(621\) −68.6409 + 33.0557i −2.75447 + 1.32648i
\(622\) −16.4910 20.6790i −0.661228 0.829154i
\(623\) 12.1993 22.9636i 0.488754 0.920019i
\(624\) −9.36945 + 11.7489i −0.375078 + 0.470333i
\(625\) 6.91636 30.3025i 0.276654 1.21210i
\(626\) 20.6165 25.8522i 0.824000 1.03326i
\(627\) 84.9037 40.8875i 3.39073 1.63289i
\(628\) 5.62835 + 7.05772i 0.224595 + 0.281634i
\(629\) 33.0446 + 15.9134i 1.31757 + 0.634510i
\(630\) 3.31146 83.7266i 0.131932 3.33575i
\(631\) −14.7928 + 7.12383i −0.588891 + 0.283595i −0.704505 0.709699i \(-0.748831\pi\)
0.115613 + 0.993294i \(0.463117\pi\)
\(632\) −15.5609 7.49374i −0.618980 0.298085i
\(633\) 8.85912 + 38.8143i 0.352118 + 1.54273i
\(634\) 40.9252 + 19.7085i 1.62535 + 0.782725i
\(635\) 27.6813 34.7112i 1.09850 1.37747i
\(636\) 27.2400 1.08014
\(637\) 1.01379 + 6.92620i 0.0401680 + 0.274426i
\(638\) −9.24588 −0.366048
\(639\) −18.8114 + 23.5888i −0.744168 + 0.933158i
\(640\) 25.6300 + 12.3428i 1.01311 + 0.487890i
\(641\) −6.66563 29.2040i −0.263276 1.15349i −0.917673 0.397338i \(-0.869934\pi\)
0.654396 0.756152i \(-0.272923\pi\)
\(642\) 30.1533 + 14.5211i 1.19005 + 0.573100i
\(643\) 20.4337 9.84034i 0.805826 0.388065i 0.0148324 0.999890i \(-0.495279\pi\)
0.790993 + 0.611825i \(0.209564\pi\)
\(644\) 19.1794 + 16.5765i 0.755775 + 0.653205i
\(645\) 14.0757 + 6.77849i 0.554229 + 0.266903i
\(646\) −31.3011 39.2504i −1.23153 1.54429i
\(647\) −17.9746 + 8.65610i −0.706654 + 0.340306i −0.752455 0.658644i \(-0.771130\pi\)
0.0458009 + 0.998951i \(0.485416\pi\)
\(648\) 9.61998 12.0631i 0.377909 0.473882i
\(649\) −6.01434 + 26.3505i −0.236083 + 1.03435i
\(650\) −3.26797 + 4.09790i −0.128180 + 0.160733i
\(651\) 1.25938 31.8421i 0.0493592 1.24799i
\(652\) 0.638255 + 0.800347i 0.0249960 + 0.0313440i
\(653\) 28.0379 13.5023i 1.09721 0.528387i 0.204428 0.978882i \(-0.434466\pi\)
0.892779 + 0.450494i \(0.148752\pi\)
\(654\) 6.65988 29.1788i 0.260422 1.14098i
\(655\) −53.9282 −2.10715
\(656\) −8.60565 −0.335994
\(657\) −0.451506 + 1.97818i −0.0176149 + 0.0771760i
\(658\) 36.1086 26.5307i 1.40766 1.03428i
\(659\) −7.23000 31.6767i −0.281641 1.23395i −0.895689 0.444681i \(-0.853317\pi\)
0.614048 0.789268i \(-0.289540\pi\)
\(660\) −12.0483 52.7869i −0.468978 2.05473i
\(661\) 5.25670 + 6.59169i 0.204462 + 0.256387i 0.873481 0.486858i \(-0.161857\pi\)
−0.669019 + 0.743245i \(0.733286\pi\)
\(662\) 14.9624 + 18.7623i 0.581531 + 0.729217i
\(663\) 3.09808 + 13.5736i 0.120319 + 0.527154i
\(664\) 2.19076 + 9.59836i 0.0850181 + 0.372489i
\(665\) 1.79078 45.2778i 0.0694433 1.75580i
\(666\) 20.0781 87.9678i 0.778010 3.40868i
\(667\) 7.77129 0.300905
\(668\) 0.183612 0.00710416
\(669\) −8.91681 + 39.0671i −0.344744 + 1.51042i
\(670\) −39.3434 + 18.9468i −1.51997 + 0.731978i
\(671\) −12.9639 16.2563i −0.500467 0.627566i
\(672\) −47.9745 12.9643i −1.85066 0.500110i
\(673\) 19.4865 24.4353i 0.751149 0.941911i −0.248494 0.968633i \(-0.579936\pi\)
0.999643 + 0.0267227i \(0.00850712\pi\)
\(674\) −13.1272 + 57.5141i −0.505641 + 2.21536i
\(675\) 17.9477 22.5057i 0.690806 0.866243i
\(676\) −1.12083 + 0.539765i −0.0431090 + 0.0207602i
\(677\) 9.94285 + 12.4679i 0.382135 + 0.479182i 0.935283 0.353901i \(-0.115145\pi\)
−0.553148 + 0.833083i \(0.686574\pi\)
\(678\) 28.2896 + 13.6236i 1.08646 + 0.523210i
\(679\) −4.83079 11.1370i −0.185389 0.427397i
\(680\) 15.7925 7.60525i 0.605613 0.291648i
\(681\) 26.3037 + 12.6672i 1.00796 + 0.485408i
\(682\) −8.07423 35.3755i −0.309178 1.35460i
\(683\) 6.69983 + 3.22647i 0.256362 + 0.123457i 0.557651 0.830075i \(-0.311703\pi\)
−0.301289 + 0.953533i \(0.597417\pi\)
\(684\) −29.5302 + 37.0297i −1.12912 + 1.41587i
\(685\) 23.7673 0.908100
\(686\) −28.3572 + 17.5662i −1.08268 + 0.670682i
\(687\) −48.5397 −1.85190
\(688\) 5.62530 7.05391i 0.214463 0.268928i
\(689\) −6.48586 3.12343i −0.247092 0.118993i
\(690\) 26.4072 + 115.698i 1.00531 + 4.40453i
\(691\) −15.1270 7.28476i −0.575457 0.277125i 0.123435 0.992353i \(-0.460609\pi\)
−0.698892 + 0.715227i \(0.746323\pi\)
\(692\) 25.0406 12.0589i 0.951900 0.458411i
\(693\) −33.4888 77.2054i −1.27213 2.93279i
\(694\) 13.6621 + 6.57932i 0.518606 + 0.249748i
\(695\) 20.0416 + 25.1314i 0.760221 + 0.953286i
\(696\) −3.76502 + 1.81314i −0.142713 + 0.0687268i
\(697\) −4.97107 + 6.23352i −0.188293 + 0.236111i
\(698\) −13.5192 + 59.2314i −0.511708 + 2.24194i
\(699\) −22.5611 + 28.2908i −0.853341 + 1.07006i
\(700\) −9.24657 2.49874i −0.349487 0.0944433i
\(701\) 9.81838 + 12.3119i 0.370835 + 0.465013i 0.931877 0.362775i \(-0.118171\pi\)
−0.561042 + 0.827788i \(0.689599\pi\)
\(702\) 16.0519 7.73017i 0.605838 0.291756i
\(703\) 10.8578 47.5713i 0.409511 1.79419i
\(704\) −6.31523 −0.238014
\(705\) 80.4393 3.02952
\(706\) 1.22390 5.36227i 0.0460622 0.201812i
\(707\) −0.699138 + 17.6769i −0.0262938 + 0.664810i
\(708\) −4.47326 19.5986i −0.168115 0.736562i
\(709\) 0.0358311 + 0.156987i 0.00134567 + 0.00589575i 0.975596 0.219572i \(-0.0704661\pi\)
−0.974251 + 0.225468i \(0.927609\pi\)
\(710\) 15.2417 + 19.1125i 0.572011 + 0.717279i
\(711\) 49.4458 + 62.0030i 1.85436 + 2.32529i
\(712\) −2.97776 13.0464i −0.111596 0.488936i
\(713\) 6.78650 + 29.7336i 0.254156 + 1.11353i
\(714\) −53.4654 + 39.2836i −2.00089 + 1.47015i
\(715\) −3.18401 + 13.9501i −0.119075 + 0.521703i
\(716\) −24.7282 −0.924135
\(717\) −86.8977 −3.24525
\(718\) −2.75456 + 12.0685i −0.102799 + 0.450394i
\(719\) −21.9173 + 10.5548i −0.817377 + 0.393628i −0.795366 0.606129i \(-0.792721\pi\)
−0.0220115 + 0.999758i \(0.507007\pi\)
\(720\) −54.1636 67.9190i −2.01856 2.53119i
\(721\) 1.07118 27.0837i 0.0398930 1.00865i
\(722\) −20.3064 + 25.4634i −0.755726 + 0.947651i
\(723\) −3.27886 + 14.3656i −0.121942 + 0.534263i
\(724\) 11.0483 13.8542i 0.410608 0.514886i
\(725\) −2.64550 + 1.27401i −0.0982514 + 0.0473154i
\(726\) −50.8396 63.7508i −1.88683 2.36601i
\(727\) −23.2419 11.1927i −0.861994 0.415115i −0.0499788 0.998750i \(-0.515915\pi\)
−0.812016 + 0.583636i \(0.801630\pi\)
\(728\) 2.72553 + 2.35563i 0.101015 + 0.0873055i
\(729\) 17.4941 8.42470i 0.647929 0.312026i
\(730\) 1.48120 + 0.713309i 0.0548217 + 0.0264008i
\(731\) −1.86005 8.14940i −0.0687963 0.301416i
\(732\) 13.9333 + 6.70992i 0.514989 + 0.248006i
\(733\) 0.679102 0.851567i 0.0250832 0.0314533i −0.769132 0.639090i \(-0.779311\pi\)
0.794215 + 0.607637i \(0.207882\pi\)
\(734\) −36.8304 −1.35944
\(735\) −59.6964 4.72949i −2.20194 0.174450i
\(736\) 47.5607 1.75311
\(737\) −27.3446 + 34.2890i −1.00725 + 1.26305i
\(738\) 17.6722 + 8.51048i 0.650523 + 0.313275i
\(739\) 10.6268 + 46.5589i 0.390912 + 1.71270i 0.661451 + 0.749988i \(0.269941\pi\)
−0.270540 + 0.962709i \(0.587202\pi\)
\(740\) −25.2592 12.1642i −0.928546 0.447164i
\(741\) 16.6884 8.03669i 0.613062 0.295235i
\(742\) 1.35571 34.2776i 0.0497696 1.25837i
\(743\) −24.9982 12.0385i −0.917096 0.441650i −0.0850623 0.996376i \(-0.527109\pi\)
−0.832033 + 0.554726i \(0.812823\pi\)
\(744\) −10.2251 12.8219i −0.374871 0.470074i
\(745\) 18.8173 9.06193i 0.689412 0.332003i
\(746\) 7.91175 9.92102i 0.289670 0.363234i
\(747\) 10.0594 44.0729i 0.368052 1.61254i
\(748\) −18.0625 + 22.6496i −0.660429 + 0.828151i
\(749\) 7.58273 14.2735i 0.277067 0.521544i
\(750\) 20.0775 + 25.1764i 0.733127 + 0.919312i
\(751\) −25.8562 + 12.4517i −0.943506 + 0.454368i −0.841405 0.540406i \(-0.818271\pi\)
−0.102101 + 0.994774i \(0.532557\pi\)
\(752\) 10.3370 45.2896i 0.376953 1.65154i
\(753\) 62.0630 2.26170
\(754\) −1.81733 −0.0661834
\(755\) −2.83345 + 12.4141i −0.103120 + 0.451797i
\(756\) 24.6325 + 21.2895i 0.895875 + 0.774291i
\(757\) 10.5427 + 46.1904i 0.383179 + 1.67882i 0.687449 + 0.726232i \(0.258730\pi\)
−0.304270 + 0.952586i \(0.598413\pi\)
\(758\) 3.04595 + 13.3452i 0.110634 + 0.484719i
\(759\) 74.3125 + 93.1849i 2.69737 + 3.38240i
\(760\) −14.5396 18.2320i −0.527406 0.661346i
\(761\) 0.495321 + 2.17014i 0.0179554 + 0.0786677i 0.983112 0.183006i \(-0.0585827\pi\)
−0.965156 + 0.261674i \(0.915726\pi\)
\(762\) 19.2441 + 84.3140i 0.697141 + 3.05437i
\(763\) −13.9533 3.77066i −0.505145 0.136507i
\(764\) −4.04033 + 17.7019i −0.146174 + 0.640431i
\(765\) −80.4849 −2.90994
\(766\) −2.44207 −0.0882355
\(767\) −1.18215 + 5.17936i −0.0426851 + 0.187016i
\(768\) −56.7286 + 27.3191i −2.04702 + 0.985792i
\(769\) −12.0915 15.1622i −0.436030 0.546764i 0.514462 0.857513i \(-0.327992\pi\)
−0.950492 + 0.310749i \(0.899420\pi\)
\(770\) −67.0242 + 12.5338i −2.41538 + 0.451687i
\(771\) −35.6070 + 44.6498i −1.28236 + 1.60802i
\(772\) −1.92849 + 8.44925i −0.0694078 + 0.304095i
\(773\) 26.5064 33.2380i 0.953369 1.19549i −0.0272627 0.999628i \(-0.508679\pi\)
0.980632 0.195859i \(-0.0627495\pi\)
\(774\) −18.5278 + 8.92251i −0.665968 + 0.320713i
\(775\) −7.18471 9.00934i