Properties

Label 171.2.g.c.106.9
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.9
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0732670 - 0.126902i) q^{2} +(0.157437 - 1.72488i) q^{3} +(0.989264 - 1.71346i) q^{4} +2.57004 q^{5} +(-0.230426 + 0.106398i) q^{6} +(-1.73898 + 3.01201i) q^{7} -0.582990 q^{8} +(-2.95043 - 0.543121i) q^{9} +O(q^{10})\) \(q+(-0.0732670 - 0.126902i) q^{2} +(0.157437 - 1.72488i) q^{3} +(0.989264 - 1.71346i) q^{4} +2.57004 q^{5} +(-0.230426 + 0.106398i) q^{6} +(-1.73898 + 3.01201i) q^{7} -0.582990 q^{8} +(-2.95043 - 0.543121i) q^{9} +(-0.188299 - 0.326143i) q^{10} +(2.07935 - 3.60154i) q^{11} +(-2.79976 - 1.97612i) q^{12} +(-2.29925 + 3.98242i) q^{13} +0.509640 q^{14} +(0.404620 - 4.43301i) q^{15} +(-1.93581 - 3.35293i) q^{16} +(-1.50797 + 2.61188i) q^{17} +(0.147246 + 0.414209i) q^{18} +(3.65690 + 2.37215i) q^{19} +(2.54244 - 4.40364i) q^{20} +(4.92157 + 3.47374i) q^{21} -0.609391 q^{22} +(2.45941 - 4.25982i) q^{23} +(-0.0917844 + 1.00559i) q^{24} +1.60509 q^{25} +0.673837 q^{26} +(-1.40133 + 5.00363i) q^{27} +(3.44063 + 5.95934i) q^{28} -3.71403 q^{29} +(-0.592204 + 0.273446i) q^{30} +(3.31980 + 5.75007i) q^{31} +(-0.866652 + 1.50109i) q^{32} +(-5.88486 - 4.15365i) q^{33} +0.441938 q^{34} +(-4.46925 + 7.74097i) q^{35} +(-3.84937 + 4.51813i) q^{36} -5.28491 q^{37} +(0.0331004 - 0.637869i) q^{38} +(6.50721 + 4.59292i) q^{39} -1.49831 q^{40} +2.53193 q^{41} +(0.0802364 - 0.879069i) q^{42} +(-2.39036 - 4.14022i) q^{43} +(-4.11405 - 7.12574i) q^{44} +(-7.58271 - 1.39584i) q^{45} -0.720775 q^{46} +9.71255 q^{47} +(-6.08817 + 2.81117i) q^{48} +(-2.54812 - 4.41348i) q^{49} +(-0.117600 - 0.203689i) q^{50} +(4.26777 + 3.01228i) q^{51} +(4.54913 + 7.87933i) q^{52} +(5.35547 + 9.27595i) q^{53} +(0.737642 - 0.188769i) q^{54} +(5.34400 - 9.25609i) q^{55} +(1.01381 - 1.75597i) q^{56} +(4.66740 - 5.93425i) q^{57} +(0.272116 + 0.471318i) q^{58} -8.96213 q^{59} +(-7.19548 - 5.07871i) q^{60} +0.944170 q^{61} +(0.486464 - 0.842580i) q^{62} +(6.76663 - 7.94223i) q^{63} -7.48927 q^{64} +(-5.90916 + 10.2350i) q^{65} +(-0.0959409 + 1.05113i) q^{66} +(-0.688581 + 1.19266i) q^{67} +(2.98356 + 5.16768i) q^{68} +(-6.96048 - 4.91284i) q^{69} +1.30979 q^{70} +(4.45338 - 7.71347i) q^{71} +(1.72007 + 0.316634i) q^{72} +(-2.14771 + 3.71994i) q^{73} +(0.387210 + 0.670667i) q^{74} +(0.252701 - 2.76859i) q^{75} +(7.68221 - 3.91926i) q^{76} +(7.23190 + 12.5260i) q^{77} +(0.106087 - 1.16229i) q^{78} +(-1.69260 - 2.93168i) q^{79} +(-4.97511 - 8.61715i) q^{80} +(8.41004 + 3.20488i) q^{81} +(-0.185507 - 0.321308i) q^{82} +(4.52640 - 7.83996i) q^{83} +(10.8208 - 4.99645i) q^{84} +(-3.87554 + 6.71263i) q^{85} +(-0.350269 + 0.606683i) q^{86} +(-0.584727 + 6.40625i) q^{87} +(-1.21224 + 2.09966i) q^{88} +(-3.96515 - 6.86783i) q^{89} +(0.378427 + 1.06453i) q^{90} +(-7.99672 - 13.8507i) q^{91} +(-4.86601 - 8.42818i) q^{92} +(10.4408 - 4.82099i) q^{93} +(-0.711609 - 1.23254i) q^{94} +(9.39837 + 6.09650i) q^{95} +(2.45275 + 1.73120i) q^{96} +(-0.930336 - 1.61139i) q^{97} +(-0.373387 + 0.646725i) q^{98} +(-8.09104 + 9.49674i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0732670 0.126902i −0.0518076 0.0897334i 0.838959 0.544195i \(-0.183165\pi\)
−0.890766 + 0.454462i \(0.849832\pi\)
\(3\) 0.157437 1.72488i 0.0908965 0.995860i
\(4\) 0.989264 1.71346i 0.494632 0.856728i
\(5\) 2.57004 1.14936 0.574678 0.818380i \(-0.305127\pi\)
0.574678 + 0.818380i \(0.305127\pi\)
\(6\) −0.230426 + 0.106398i −0.0940711 + 0.0434367i
\(7\) −1.73898 + 3.01201i −0.657274 + 1.13843i 0.324045 + 0.946042i \(0.394957\pi\)
−0.981319 + 0.192390i \(0.938376\pi\)
\(8\) −0.582990 −0.206118
\(9\) −2.95043 0.543121i −0.983476 0.181040i
\(10\) −0.188299 0.326143i −0.0595454 0.103136i
\(11\) 2.07935 3.60154i 0.626947 1.08590i −0.361214 0.932483i \(-0.617637\pi\)
0.988161 0.153421i \(-0.0490292\pi\)
\(12\) −2.79976 1.97612i −0.808221 0.570458i
\(13\) −2.29925 + 3.98242i −0.637698 + 1.10452i 0.348239 + 0.937406i \(0.386780\pi\)
−0.985937 + 0.167119i \(0.946554\pi\)
\(14\) 0.509640 0.136207
\(15\) 0.404620 4.43301i 0.104472 1.14460i
\(16\) −1.93581 3.35293i −0.483953 0.838232i
\(17\) −1.50797 + 2.61188i −0.365736 + 0.633474i −0.988894 0.148622i \(-0.952516\pi\)
0.623158 + 0.782096i \(0.285850\pi\)
\(18\) 0.147246 + 0.414209i 0.0347061 + 0.0976299i
\(19\) 3.65690 + 2.37215i 0.838951 + 0.544208i
\(20\) 2.54244 4.40364i 0.568508 0.984685i
\(21\) 4.92157 + 3.47374i 1.07397 + 0.758032i
\(22\) −0.609391 −0.129923
\(23\) 2.45941 4.25982i 0.512822 0.888234i −0.487067 0.873365i \(-0.661933\pi\)
0.999889 0.0148698i \(-0.00473338\pi\)
\(24\) −0.0917844 + 1.00559i −0.0187354 + 0.205265i
\(25\) 1.60509 0.321018
\(26\) 0.673837 0.132150
\(27\) −1.40133 + 5.00363i −0.269686 + 0.962948i
\(28\) 3.44063 + 5.95934i 0.650217 + 1.12621i
\(29\) −3.71403 −0.689678 −0.344839 0.938662i \(-0.612066\pi\)
−0.344839 + 0.938662i \(0.612066\pi\)
\(30\) −0.592204 + 0.273446i −0.108121 + 0.0499242i
\(31\) 3.31980 + 5.75007i 0.596254 + 1.03274i 0.993369 + 0.114973i \(0.0366782\pi\)
−0.397115 + 0.917769i \(0.629988\pi\)
\(32\) −0.866652 + 1.50109i −0.153204 + 0.265357i
\(33\) −5.88486 4.15365i −1.02442 0.723057i
\(34\) 0.441938 0.0757917
\(35\) −4.46925 + 7.74097i −0.755441 + 1.30846i
\(36\) −3.84937 + 4.51813i −0.641561 + 0.753022i
\(37\) −5.28491 −0.868834 −0.434417 0.900712i \(-0.643046\pi\)
−0.434417 + 0.900712i \(0.643046\pi\)
\(38\) 0.0331004 0.637869i 0.00536959 0.103476i
\(39\) 6.50721 + 4.59292i 1.04199 + 0.735455i
\(40\) −1.49831 −0.236903
\(41\) 2.53193 0.395422 0.197711 0.980260i \(-0.436649\pi\)
0.197711 + 0.980260i \(0.436649\pi\)
\(42\) 0.0802364 0.879069i 0.0123808 0.135643i
\(43\) −2.39036 4.14022i −0.364526 0.631378i 0.624174 0.781285i \(-0.285436\pi\)
−0.988700 + 0.149908i \(0.952102\pi\)
\(44\) −4.11405 7.12574i −0.620216 1.07425i
\(45\) −7.58271 1.39584i −1.13036 0.208080i
\(46\) −0.720775 −0.106272
\(47\) 9.71255 1.41672 0.708360 0.705851i \(-0.249435\pi\)
0.708360 + 0.705851i \(0.249435\pi\)
\(48\) −6.08817 + 2.81117i −0.878752 + 0.405758i
\(49\) −2.54812 4.41348i −0.364017 0.630497i
\(50\) −0.117600 0.203689i −0.0166312 0.0288060i
\(51\) 4.26777 + 3.01228i 0.597608 + 0.421803i
\(52\) 4.54913 + 7.87933i 0.630851 + 1.09267i
\(53\) 5.35547 + 9.27595i 0.735631 + 1.27415i 0.954446 + 0.298384i \(0.0964474\pi\)
−0.218815 + 0.975766i \(0.570219\pi\)
\(54\) 0.737642 0.188769i 0.100380 0.0256883i
\(55\) 5.34400 9.25609i 0.720585 1.24809i
\(56\) 1.01381 1.75597i 0.135476 0.234651i
\(57\) 4.66740 5.93425i 0.618213 0.786011i
\(58\) 0.272116 + 0.471318i 0.0357305 + 0.0618871i
\(59\) −8.96213 −1.16677 −0.583385 0.812196i \(-0.698272\pi\)
−0.583385 + 0.812196i \(0.698272\pi\)
\(60\) −7.19548 5.07871i −0.928933 0.655659i
\(61\) 0.944170 0.120889 0.0604443 0.998172i \(-0.480748\pi\)
0.0604443 + 0.998172i \(0.480748\pi\)
\(62\) 0.486464 0.842580i 0.0617810 0.107008i
\(63\) 6.76663 7.94223i 0.852515 1.00063i
\(64\) −7.48927 −0.936158
\(65\) −5.90916 + 10.2350i −0.732941 + 1.26949i
\(66\) −0.0959409 + 1.05113i −0.0118095 + 0.129385i
\(67\) −0.688581 + 1.19266i −0.0841236 + 0.145706i −0.905017 0.425375i \(-0.860142\pi\)
0.820894 + 0.571081i \(0.193476\pi\)
\(68\) 2.98356 + 5.16768i 0.361810 + 0.626673i
\(69\) −6.96048 4.91284i −0.837944 0.591437i
\(70\) 1.30979 0.156550
\(71\) 4.45338 7.71347i 0.528519 0.915421i −0.470929 0.882171i \(-0.656081\pi\)
0.999447 0.0332496i \(-0.0105856\pi\)
\(72\) 1.72007 + 0.316634i 0.202712 + 0.0373157i
\(73\) −2.14771 + 3.71994i −0.251370 + 0.435386i −0.963903 0.266253i \(-0.914214\pi\)
0.712533 + 0.701638i \(0.247548\pi\)
\(74\) 0.387210 + 0.670667i 0.0450122 + 0.0779635i
\(75\) 0.252701 2.76859i 0.0291794 0.319689i
\(76\) 7.68221 3.91926i 0.881210 0.449570i
\(77\) 7.23190 + 12.5260i 0.824152 + 1.42747i
\(78\) 0.106087 1.16229i 0.0120120 0.131603i
\(79\) −1.69260 2.93168i −0.190433 0.329840i 0.754961 0.655770i \(-0.227656\pi\)
−0.945394 + 0.325930i \(0.894323\pi\)
\(80\) −4.97511 8.61715i −0.556235 0.963427i
\(81\) 8.41004 + 3.20488i 0.934449 + 0.356098i
\(82\) −0.185507 0.321308i −0.0204858 0.0354825i
\(83\) 4.52640 7.83996i 0.496837 0.860547i −0.503156 0.864196i \(-0.667828\pi\)
0.999993 + 0.00364819i \(0.00116126\pi\)
\(84\) 10.8208 4.99645i 1.18065 0.545157i
\(85\) −3.87554 + 6.71263i −0.420361 + 0.728087i
\(86\) −0.350269 + 0.606683i −0.0377705 + 0.0654204i
\(87\) −0.584727 + 6.40625i −0.0626893 + 0.686823i
\(88\) −1.21224 + 2.09966i −0.129225 + 0.223824i
\(89\) −3.96515 6.86783i −0.420305 0.727989i 0.575665 0.817686i \(-0.304743\pi\)
−0.995969 + 0.0896971i \(0.971410\pi\)
\(90\) 0.378427 + 1.06453i 0.0398897 + 0.112211i
\(91\) −7.99672 13.8507i −0.838284 1.45195i
\(92\) −4.86601 8.42818i −0.507317 0.878698i
\(93\) 10.4408 4.82099i 1.08266 0.499913i
\(94\) −0.711609 1.23254i −0.0733969 0.127127i
\(95\) 9.39837 + 6.09650i 0.964252 + 0.625488i
\(96\) 2.45275 + 1.73120i 0.250333 + 0.176690i
\(97\) −0.930336 1.61139i −0.0944613 0.163612i 0.814922 0.579570i \(-0.196780\pi\)
−0.909384 + 0.415958i \(0.863446\pi\)
\(98\) −0.373387 + 0.646725i −0.0377177 + 0.0653291i
\(99\) −8.09104 + 9.49674i −0.813180 + 0.954458i
\(100\) 1.58786 2.75025i 0.158786 0.275025i
\(101\) −9.88304 −0.983400 −0.491700 0.870765i \(-0.663624\pi\)
−0.491700 + 0.870765i \(0.663624\pi\)
\(102\) 0.0695775 0.762290i 0.00688920 0.0754780i
\(103\) −9.35247 16.1990i −0.921527 1.59613i −0.797054 0.603908i \(-0.793609\pi\)
−0.124473 0.992223i \(-0.539724\pi\)
\(104\) 1.34044 2.32171i 0.131441 0.227662i
\(105\) 12.6486 + 8.92764i 1.23438 + 0.871249i
\(106\) 0.784759 1.35924i 0.0762225 0.132021i
\(107\) −15.3037 −1.47947 −0.739733 0.672901i \(-0.765048\pi\)
−0.739733 + 0.672901i \(0.765048\pi\)
\(108\) 7.18721 + 7.35102i 0.691590 + 0.707352i
\(109\) 1.64679 2.85232i 0.157734 0.273203i −0.776317 0.630342i \(-0.782915\pi\)
0.934051 + 0.357139i \(0.116248\pi\)
\(110\) −1.56616 −0.149327
\(111\) −0.832043 + 9.11584i −0.0789740 + 0.865238i
\(112\) 13.4654 1.27236
\(113\) −1.80784 3.13127i −0.170067 0.294565i 0.768376 0.639999i \(-0.221065\pi\)
−0.938443 + 0.345434i \(0.887732\pi\)
\(114\) −1.09504 0.157519i −0.102560 0.0147530i
\(115\) 6.32077 10.9479i 0.589415 1.02090i
\(116\) −3.67415 + 6.36382i −0.341137 + 0.590866i
\(117\) 8.94671 10.5011i 0.827124 0.970824i
\(118\) 0.656629 + 1.13731i 0.0604476 + 0.104698i
\(119\) −5.24467 9.08403i −0.480778 0.832732i
\(120\) −0.235889 + 2.58440i −0.0215336 + 0.235922i
\(121\) −3.14738 5.45143i −0.286126 0.495584i
\(122\) −0.0691765 0.119817i −0.00626295 0.0108477i
\(123\) 0.398621 4.36728i 0.0359424 0.393785i
\(124\) 13.1366 1.17971
\(125\) −8.72504 −0.780392
\(126\) −1.50366 0.276797i −0.133956 0.0246590i
\(127\) 9.12699 + 15.8084i 0.809890 + 1.40277i 0.912940 + 0.408094i \(0.133806\pi\)
−0.103050 + 0.994676i \(0.532860\pi\)
\(128\) 2.28202 + 3.95258i 0.201704 + 0.349362i
\(129\) −7.51772 + 3.47126i −0.661898 + 0.305627i
\(130\) 1.73179 0.151888
\(131\) −21.4998 −1.87844 −0.939222 0.343312i \(-0.888451\pi\)
−0.939222 + 0.343312i \(0.888451\pi\)
\(132\) −12.9388 + 5.97439i −1.12617 + 0.520004i
\(133\) −13.5042 + 6.88949i −1.17096 + 0.597394i
\(134\) 0.201801 0.0174330
\(135\) −3.60146 + 12.8595i −0.309965 + 1.10677i
\(136\) 0.879131 1.52270i 0.0753849 0.130570i
\(137\) −8.84164 −0.755392 −0.377696 0.925930i \(-0.623284\pi\)
−0.377696 + 0.925930i \(0.623284\pi\)
\(138\) −0.113477 + 1.24325i −0.00965979 + 0.105832i
\(139\) 6.64472 11.5090i 0.563598 0.976180i −0.433581 0.901115i \(-0.642750\pi\)
0.997179 0.0750651i \(-0.0239164\pi\)
\(140\) 8.84254 + 15.3157i 0.747331 + 1.29441i
\(141\) 1.52912 16.7530i 0.128775 1.41086i
\(142\) −1.30514 −0.109525
\(143\) 9.56189 + 16.5617i 0.799606 + 1.38496i
\(144\) 3.89043 + 10.9440i 0.324203 + 0.911996i
\(145\) −9.54519 −0.792685
\(146\) 0.629425 0.0520915
\(147\) −8.01389 + 3.70036i −0.660975 + 0.305201i
\(148\) −5.22817 + 9.05546i −0.429753 + 0.744354i
\(149\) 13.8148 1.13175 0.565875 0.824491i \(-0.308538\pi\)
0.565875 + 0.824491i \(0.308538\pi\)
\(150\) −0.369855 + 0.170778i −0.0301985 + 0.0139440i
\(151\) −1.82757 + 3.16545i −0.148726 + 0.257600i −0.930757 0.365639i \(-0.880850\pi\)
0.782031 + 0.623239i \(0.214184\pi\)
\(152\) −2.13194 1.38294i −0.172923 0.112171i
\(153\) 5.86772 6.88715i 0.474377 0.556793i
\(154\) 1.05972 1.83549i 0.0853947 0.147908i
\(155\) 8.53201 + 14.7779i 0.685308 + 1.18699i
\(156\) 14.3071 6.60621i 1.14549 0.528920i
\(157\) 4.54548 0.362768 0.181384 0.983412i \(-0.441942\pi\)
0.181384 + 0.983412i \(0.441942\pi\)
\(158\) −0.248024 + 0.429591i −0.0197318 + 0.0341764i
\(159\) 16.8431 7.77717i 1.33574 0.616770i
\(160\) −2.22733 + 3.85785i −0.176086 + 0.304990i
\(161\) 8.55374 + 14.8155i 0.674129 + 1.16763i
\(162\) −0.209472 1.30206i −0.0164577 0.102300i
\(163\) −2.30348 −0.180422 −0.0902111 0.995923i \(-0.528754\pi\)
−0.0902111 + 0.995923i \(0.528754\pi\)
\(164\) 2.50475 4.33835i 0.195588 0.338769i
\(165\) −15.1243 10.6750i −1.17742 0.831049i
\(166\) −1.32654 −0.102960
\(167\) 4.47102 7.74404i 0.345978 0.599251i −0.639553 0.768747i \(-0.720881\pi\)
0.985531 + 0.169496i \(0.0542139\pi\)
\(168\) −2.86923 2.02516i −0.221366 0.156244i
\(169\) −4.07311 7.05484i −0.313317 0.542680i
\(170\) 1.13580 0.0871116
\(171\) −9.50105 8.98499i −0.726564 0.687099i
\(172\) −9.45878 −0.721225
\(173\) 0.647453 + 1.12142i 0.0492249 + 0.0852600i 0.889588 0.456764i \(-0.150992\pi\)
−0.840363 + 0.542024i \(0.817658\pi\)
\(174\) 0.855809 0.395164i 0.0648787 0.0299573i
\(175\) −2.79122 + 4.83454i −0.210997 + 0.365457i
\(176\) −16.1009 −1.21365
\(177\) −1.41097 + 15.4586i −0.106055 + 1.16194i
\(178\) −0.581029 + 1.00637i −0.0435499 + 0.0754307i
\(179\) 7.43054 0.555385 0.277692 0.960670i \(-0.410430\pi\)
0.277692 + 0.960670i \(0.410430\pi\)
\(180\) −9.89301 + 11.6118i −0.737381 + 0.865490i
\(181\) −0.306836 0.531455i −0.0228069 0.0395027i 0.854397 0.519621i \(-0.173927\pi\)
−0.877204 + 0.480119i \(0.840594\pi\)
\(182\) −1.17179 + 2.02960i −0.0868590 + 0.150444i
\(183\) 0.148648 1.62858i 0.0109883 0.120388i
\(184\) −1.43381 + 2.48343i −0.105702 + 0.183081i
\(185\) −13.5824 −0.998599
\(186\) −1.37676 0.971746i −0.100949 0.0712519i
\(187\) 6.27119 + 10.8620i 0.458595 + 0.794310i
\(188\) 9.60827 16.6420i 0.700755 1.21374i
\(189\) −12.6341 12.9220i −0.918994 0.939939i
\(190\) 0.0850692 1.63935i 0.00617157 0.118931i
\(191\) −2.82733 + 4.89708i −0.204578 + 0.354340i −0.949998 0.312255i \(-0.898916\pi\)
0.745420 + 0.666595i \(0.232249\pi\)
\(192\) −1.17909 + 12.9181i −0.0850935 + 0.932283i
\(193\) 1.76494 0.127043 0.0635215 0.997980i \(-0.479767\pi\)
0.0635215 + 0.997980i \(0.479767\pi\)
\(194\) −0.136326 + 0.236123i −0.00978763 + 0.0169527i
\(195\) 16.7238 + 11.8040i 1.19761 + 0.845299i
\(196\) −10.0831 −0.720219
\(197\) −1.37197 −0.0977491 −0.0488745 0.998805i \(-0.515563\pi\)
−0.0488745 + 0.998805i \(0.515563\pi\)
\(198\) 1.79796 + 0.330973i 0.127776 + 0.0235212i
\(199\) 12.3083 + 21.3186i 0.872513 + 1.51124i 0.859389 + 0.511322i \(0.170844\pi\)
0.0131236 + 0.999914i \(0.495823\pi\)
\(200\) −0.935751 −0.0661676
\(201\) 1.94878 + 1.37549i 0.137457 + 0.0970195i
\(202\) 0.724101 + 1.25418i 0.0509476 + 0.0882438i
\(203\) 6.45863 11.1867i 0.453307 0.785151i
\(204\) 9.38335 4.33270i 0.656966 0.303350i
\(205\) 6.50716 0.454480
\(206\) −1.37046 + 2.37370i −0.0954842 + 0.165383i
\(207\) −9.56991 + 11.2325i −0.665155 + 0.780715i
\(208\) 17.8037 1.23446
\(209\) 16.1473 8.23795i 1.11694 0.569831i
\(210\) 0.206211 2.25924i 0.0142299 0.155902i
\(211\) −7.16527 −0.493278 −0.246639 0.969107i \(-0.579326\pi\)
−0.246639 + 0.969107i \(0.579326\pi\)
\(212\) 21.1919 1.45547
\(213\) −12.6037 8.89593i −0.863591 0.609539i
\(214\) 1.12126 + 1.94208i 0.0766476 + 0.132758i
\(215\) −6.14331 10.6405i −0.418970 0.725678i
\(216\) 0.816959 2.91706i 0.0555870 0.198481i
\(217\) −23.0923 −1.56761
\(218\) −0.482621 −0.0326872
\(219\) 6.07832 + 4.29020i 0.410735 + 0.289905i
\(220\) −10.5733 18.3134i −0.712849 1.23469i
\(221\) −6.93440 12.0107i −0.466459 0.807930i
\(222\) 1.21778 0.562303i 0.0817322 0.0377393i
\(223\) −0.607729 1.05262i −0.0406965 0.0704885i 0.844960 0.534830i \(-0.179624\pi\)
−0.885656 + 0.464342i \(0.846291\pi\)
\(224\) −3.01419 5.22073i −0.201394 0.348824i
\(225\) −4.73570 0.871759i −0.315713 0.0581172i
\(226\) −0.264910 + 0.458837i −0.0176215 + 0.0305214i
\(227\) −4.45999 + 7.72493i −0.296020 + 0.512722i −0.975222 0.221230i \(-0.928993\pi\)
0.679202 + 0.733952i \(0.262326\pi\)
\(228\) −5.55078 13.8679i −0.367610 0.918426i
\(229\) 6.50685 + 11.2702i 0.429985 + 0.744756i 0.996871 0.0790402i \(-0.0251856\pi\)
−0.566887 + 0.823796i \(0.691852\pi\)
\(230\) −1.85242 −0.122145
\(231\) 22.7445 10.5021i 1.49648 0.690988i
\(232\) 2.16524 0.142155
\(233\) 8.92397 15.4568i 0.584629 1.01261i −0.410293 0.911954i \(-0.634574\pi\)
0.994922 0.100653i \(-0.0320932\pi\)
\(234\) −1.98811 0.365975i −0.129967 0.0239246i
\(235\) 24.9616 1.62832
\(236\) −8.86592 + 15.3562i −0.577122 + 0.999605i
\(237\) −5.32327 + 2.45799i −0.345784 + 0.159663i
\(238\) −0.768522 + 1.33112i −0.0498159 + 0.0862837i
\(239\) −3.30689 5.72770i −0.213905 0.370494i 0.739028 0.673674i \(-0.235285\pi\)
−0.952933 + 0.303180i \(0.901952\pi\)
\(240\) −15.6468 + 7.22482i −1.01000 + 0.466360i
\(241\) −7.71904 −0.497227 −0.248613 0.968603i \(-0.579975\pi\)
−0.248613 + 0.968603i \(0.579975\pi\)
\(242\) −0.461199 + 0.798820i −0.0296470 + 0.0513501i
\(243\) 6.85209 14.0017i 0.439562 0.898212i
\(244\) 0.934033 1.61779i 0.0597953 0.103569i
\(245\) −6.54877 11.3428i −0.418385 0.724665i
\(246\) −0.583424 + 0.269392i −0.0371977 + 0.0171758i
\(247\) −17.8550 + 9.10915i −1.13609 + 0.579602i
\(248\) −1.93541 3.35223i −0.122899 0.212867i
\(249\) −12.8104 9.04181i −0.811824 0.573001i
\(250\) 0.639258 + 1.10723i 0.0404302 + 0.0700272i
\(251\) 9.90854 + 17.1621i 0.625422 + 1.08326i 0.988459 + 0.151487i \(0.0484063\pi\)
−0.363038 + 0.931775i \(0.618260\pi\)
\(252\) −6.91467 19.4513i −0.435583 1.22531i
\(253\) −10.2279 17.7153i −0.643025 1.11375i
\(254\) 1.33742 2.31647i 0.0839169 0.145348i
\(255\) 10.9683 + 7.74166i 0.686863 + 0.484802i
\(256\) −7.15487 + 12.3926i −0.447180 + 0.774538i
\(257\) 9.54829 16.5381i 0.595606 1.03162i −0.397855 0.917448i \(-0.630245\pi\)
0.993461 0.114171i \(-0.0364213\pi\)
\(258\) 0.991311 + 0.699687i 0.0617163 + 0.0435606i
\(259\) 9.19037 15.9182i 0.571062 0.989108i
\(260\) 11.6914 + 20.2502i 0.725072 + 1.25586i
\(261\) 10.9580 + 2.01717i 0.678281 + 0.124860i
\(262\) 1.57522 + 2.72837i 0.0973177 + 0.168559i
\(263\) −9.42257 16.3204i −0.581020 1.00636i −0.995359 0.0962340i \(-0.969320\pi\)
0.414338 0.910123i \(-0.364013\pi\)
\(264\) 3.43081 + 2.42153i 0.211152 + 0.149035i
\(265\) 13.7638 + 23.8395i 0.845501 + 1.46445i
\(266\) 1.86370 + 1.20894i 0.114271 + 0.0741250i
\(267\) −12.4705 + 5.75815i −0.763179 + 0.352393i
\(268\) 1.36238 + 2.35971i 0.0832204 + 0.144142i
\(269\) 8.42218 14.5876i 0.513509 0.889424i −0.486368 0.873754i \(-0.661678\pi\)
0.999877 0.0156702i \(-0.00498818\pi\)
\(270\) 1.89577 0.485144i 0.115373 0.0295249i
\(271\) 10.1398 17.5626i 0.615946 1.06685i −0.374271 0.927319i \(-0.622107\pi\)
0.990218 0.139531i \(-0.0445596\pi\)
\(272\) 11.6766 0.707998
\(273\) −25.1498 + 11.6128i −1.52214 + 0.702836i
\(274\) 0.647801 + 1.12202i 0.0391351 + 0.0677839i
\(275\) 3.33754 5.78079i 0.201261 0.348595i
\(276\) −15.3037 + 7.06638i −0.921174 + 0.425346i
\(277\) −4.15551 + 7.19756i −0.249681 + 0.432460i −0.963437 0.267934i \(-0.913659\pi\)
0.713756 + 0.700394i \(0.246992\pi\)
\(278\) −1.94735 −0.116795
\(279\) −6.67185 18.7682i −0.399433 1.12362i
\(280\) 2.60553 4.51291i 0.155710 0.269698i
\(281\) 12.4313 0.741592 0.370796 0.928714i \(-0.379085\pi\)
0.370796 + 0.928714i \(0.379085\pi\)
\(282\) −2.23802 + 1.03339i −0.133272 + 0.0615377i
\(283\) 29.3251 1.74320 0.871598 0.490221i \(-0.163084\pi\)
0.871598 + 0.490221i \(0.163084\pi\)
\(284\) −8.81113 15.2613i −0.522844 0.905593i
\(285\) 11.9954 15.2512i 0.710546 0.903406i
\(286\) 1.40114 2.42685i 0.0828513 0.143503i
\(287\) −4.40299 + 7.62620i −0.259900 + 0.450160i
\(288\) 3.37227 3.95815i 0.198713 0.233236i
\(289\) 3.95205 + 6.84516i 0.232474 + 0.402656i
\(290\) 0.699348 + 1.21131i 0.0410671 + 0.0711303i
\(291\) −2.92592 + 1.35103i −0.171521 + 0.0791985i
\(292\) 4.24930 + 7.36000i 0.248671 + 0.430712i
\(293\) 1.02728 + 1.77930i 0.0600143 + 0.103948i 0.894472 0.447125i \(-0.147552\pi\)
−0.834457 + 0.551073i \(0.814219\pi\)
\(294\) 1.05674 + 0.745866i 0.0616302 + 0.0434998i
\(295\) −23.0330 −1.34103
\(296\) 3.08105 0.179082
\(297\) 15.1069 + 15.4512i 0.876592 + 0.896571i
\(298\) −1.01217 1.75313i −0.0586333 0.101556i
\(299\) 11.3096 + 19.5888i 0.654051 + 1.13285i
\(300\) −4.49386 3.17186i −0.259453 0.183127i
\(301\) 16.6272 0.958374
\(302\) 0.535603 0.0308205
\(303\) −1.55596 + 17.0471i −0.0893876 + 0.979329i
\(304\) 0.874557 16.8534i 0.0501593 0.966606i
\(305\) 2.42655 0.138944
\(306\) −1.30391 0.240026i −0.0745393 0.0137214i
\(307\) −5.53654 + 9.58957i −0.315987 + 0.547306i −0.979647 0.200729i \(-0.935669\pi\)
0.663660 + 0.748035i \(0.269002\pi\)
\(308\) 28.6170 1.63061
\(309\) −29.4137 + 13.5816i −1.67329 + 0.772629i
\(310\) 1.25023 2.16546i 0.0710083 0.122990i
\(311\) −9.02794 15.6369i −0.511928 0.886685i −0.999904 0.0138280i \(-0.995598\pi\)
0.487977 0.872857i \(-0.337735\pi\)
\(312\) −3.79364 2.67762i −0.214772 0.151591i
\(313\) 11.7762 0.665631 0.332815 0.942992i \(-0.392001\pi\)
0.332815 + 0.942992i \(0.392001\pi\)
\(314\) −0.333033 0.576831i −0.0187942 0.0325525i
\(315\) 17.3905 20.4118i 0.979843 1.15008i
\(316\) −6.69773 −0.376777
\(317\) 5.91702 0.332333 0.166166 0.986098i \(-0.446861\pi\)
0.166166 + 0.986098i \(0.446861\pi\)
\(318\) −2.22098 1.56761i −0.124546 0.0879073i
\(319\) −7.72276 + 13.3762i −0.432391 + 0.748924i
\(320\) −19.2477 −1.07598
\(321\) −2.40938 + 26.3971i −0.134478 + 1.47334i
\(322\) 1.25341 2.17098i 0.0698501 0.120984i
\(323\) −11.7103 + 5.97426i −0.651576 + 0.332417i
\(324\) 13.8112 11.2398i 0.767287 0.624431i
\(325\) −3.69051 + 6.39214i −0.204712 + 0.354572i
\(326\) 0.168769 + 0.292316i 0.00934724 + 0.0161899i
\(327\) −4.66065 3.28958i −0.257734 0.181914i
\(328\) −1.47609 −0.0815035
\(329\) −16.8900 + 29.2543i −0.931173 + 1.61284i
\(330\) −0.246572 + 2.70143i −0.0135733 + 0.148709i
\(331\) 5.39815 9.34987i 0.296709 0.513916i −0.678672 0.734442i \(-0.737444\pi\)
0.975381 + 0.220526i \(0.0707774\pi\)
\(332\) −8.95561 15.5116i −0.491503 0.851308i
\(333\) 15.5927 + 2.87035i 0.854477 + 0.157294i
\(334\) −1.31031 −0.0716972
\(335\) −1.76968 + 3.06517i −0.0966879 + 0.167468i
\(336\) 2.11996 23.2262i 0.115653 1.26709i
\(337\) −29.0477 −1.58233 −0.791164 0.611604i \(-0.790525\pi\)
−0.791164 + 0.611604i \(0.790525\pi\)
\(338\) −0.596850 + 1.03377i −0.0324644 + 0.0562299i
\(339\) −5.68568 + 2.62533i −0.308804 + 0.142588i
\(340\) 7.66786 + 13.2811i 0.415848 + 0.720270i
\(341\) 27.6121 1.49528
\(342\) −0.444100 + 1.86401i −0.0240142 + 0.100794i
\(343\) −6.62120 −0.357511
\(344\) 1.39355 + 2.41371i 0.0751354 + 0.130138i
\(345\) −17.8887 12.6262i −0.963095 0.679771i
\(346\) 0.0948739 0.164326i 0.00510045 0.00883424i
\(347\) 12.2521 0.657729 0.328865 0.944377i \(-0.393334\pi\)
0.328865 + 0.944377i \(0.393334\pi\)
\(348\) 10.3984 + 7.33938i 0.557412 + 0.393432i
\(349\) −3.55181 + 6.15191i −0.190124 + 0.329304i −0.945291 0.326228i \(-0.894222\pi\)
0.755167 + 0.655532i \(0.227556\pi\)
\(350\) 0.818019 0.0437249
\(351\) −16.7045 17.0853i −0.891623 0.911944i
\(352\) 3.60415 + 6.24256i 0.192102 + 0.332730i
\(353\) −17.7023 + 30.6613i −0.942200 + 1.63194i −0.180936 + 0.983495i \(0.557913\pi\)
−0.761264 + 0.648443i \(0.775421\pi\)
\(354\) 2.06511 0.953551i 0.109759 0.0506807i
\(355\) 11.4453 19.8239i 0.607456 1.05214i
\(356\) −15.6903 −0.831584
\(357\) −16.4946 + 7.61626i −0.872985 + 0.403095i
\(358\) −0.544414 0.942952i −0.0287732 0.0498366i
\(359\) 7.86541 13.6233i 0.415121 0.719010i −0.580320 0.814388i \(-0.697073\pi\)
0.995441 + 0.0953781i \(0.0304060\pi\)
\(360\) 4.42064 + 0.813762i 0.232988 + 0.0428890i
\(361\) 7.74584 + 17.3494i 0.407676 + 0.913127i
\(362\) −0.0449619 + 0.0778762i −0.00236314 + 0.00409308i
\(363\) −9.89858 + 4.57060i −0.519541 + 0.239894i
\(364\) −31.6435 −1.65857
\(365\) −5.51969 + 9.56038i −0.288914 + 0.500413i
\(366\) −0.217561 + 0.100458i −0.0113721 + 0.00525100i
\(367\) 29.9482 1.56328 0.781641 0.623729i \(-0.214383\pi\)
0.781641 + 0.623729i \(0.214383\pi\)
\(368\) −19.0438 −0.992729
\(369\) −7.47028 1.37515i −0.388887 0.0715873i
\(370\) 0.995143 + 1.72364i 0.0517350 + 0.0896077i
\(371\) −37.2523 −1.93404
\(372\) 2.06820 22.6591i 0.107231 1.17482i
\(373\) −5.46086 9.45848i −0.282753 0.489742i 0.689309 0.724467i \(-0.257914\pi\)
−0.972062 + 0.234726i \(0.924581\pi\)
\(374\) 0.918943 1.59166i 0.0475174 0.0823026i
\(375\) −1.37365 + 15.0497i −0.0709349 + 0.777161i
\(376\) −5.66232 −0.292012
\(377\) 8.53948 14.7908i 0.439806 0.761766i
\(378\) −0.714173 + 2.55005i −0.0367331 + 0.131160i
\(379\) −17.0217 −0.874348 −0.437174 0.899377i \(-0.644021\pi\)
−0.437174 + 0.899377i \(0.644021\pi\)
\(380\) 19.7436 10.0726i 1.01282 0.516715i
\(381\) 28.7046 13.2541i 1.47058 0.679030i
\(382\) 0.828600 0.0423949
\(383\) −9.55115 −0.488041 −0.244021 0.969770i \(-0.578466\pi\)
−0.244021 + 0.969770i \(0.578466\pi\)
\(384\) 7.17700 3.31393i 0.366250 0.169113i
\(385\) 18.5863 + 32.1923i 0.947244 + 1.64067i
\(386\) −0.129312 0.223974i −0.00658179 0.0114000i
\(387\) 4.80393 + 13.5137i 0.244198 + 0.686939i
\(388\) −3.68139 −0.186894
\(389\) 17.7691 0.900927 0.450463 0.892795i \(-0.351259\pi\)
0.450463 + 0.892795i \(0.351259\pi\)
\(390\) 0.272648 2.98713i 0.0138061 0.151259i
\(391\) 7.41743 + 12.8474i 0.375116 + 0.649719i
\(392\) 1.48553 + 2.57301i 0.0750306 + 0.129957i
\(393\) −3.38487 + 37.0845i −0.170744 + 1.87067i
\(394\) 0.100520 + 0.174106i 0.00506414 + 0.00877136i
\(395\) −4.35006 7.53452i −0.218875 0.379103i
\(396\) 8.26806 + 23.2584i 0.415486 + 1.16878i
\(397\) −4.95146 + 8.57619i −0.248507 + 0.430426i −0.963112 0.269102i \(-0.913273\pi\)
0.714605 + 0.699528i \(0.246607\pi\)
\(398\) 1.80359 3.12390i 0.0904056 0.156587i
\(399\) 9.75748 + 24.3778i 0.488485 + 1.22042i
\(400\) −3.10716 5.38175i −0.155358 0.269088i
\(401\) 16.4249 0.820220 0.410110 0.912036i \(-0.365490\pi\)
0.410110 + 0.912036i \(0.365490\pi\)
\(402\) 0.0317710 0.348083i 0.00158460 0.0173608i
\(403\) −30.5322 −1.52092
\(404\) −9.77694 + 16.9342i −0.486421 + 0.842506i
\(405\) 21.6141 + 8.23666i 1.07401 + 0.409283i
\(406\) −1.89282 −0.0939390
\(407\) −10.9892 + 19.0338i −0.544713 + 0.943471i
\(408\) −2.48807 1.75613i −0.123178 0.0869412i
\(409\) 14.0437 24.3245i 0.694418 1.20277i −0.275958 0.961170i \(-0.588995\pi\)
0.970376 0.241598i \(-0.0776716\pi\)
\(410\) −0.476760 0.825773i −0.0235455 0.0407820i
\(411\) −1.39200 + 15.2508i −0.0686625 + 0.752265i
\(412\) −37.0083 −1.82327
\(413\) 15.5850 26.9940i 0.766888 1.32829i
\(414\) 2.12659 + 0.391468i 0.104516 + 0.0192396i
\(415\) 11.6330 20.1490i 0.571043 0.989075i
\(416\) −3.98530 6.90275i −0.195396 0.338435i
\(417\) −18.8055 13.2733i −0.920910 0.649996i
\(418\) −2.22848 1.44556i −0.108999 0.0707049i
\(419\) 2.35560 + 4.08002i 0.115079 + 0.199322i 0.917811 0.397017i \(-0.129955\pi\)
−0.802733 + 0.596339i \(0.796621\pi\)
\(420\) 27.8099 12.8411i 1.35699 0.626579i
\(421\) −8.34511 14.4542i −0.406716 0.704452i 0.587804 0.809004i \(-0.299993\pi\)
−0.994520 + 0.104551i \(0.966659\pi\)
\(422\) 0.524978 + 0.909289i 0.0255555 + 0.0442635i
\(423\) −28.6562 5.27509i −1.39331 0.256484i
\(424\) −3.12219 5.40778i −0.151627 0.262625i
\(425\) −2.42043 + 4.19230i −0.117408 + 0.203357i
\(426\) −0.205478 + 2.25122i −0.00995545 + 0.109072i
\(427\) −1.64190 + 2.84385i −0.0794569 + 0.137623i
\(428\) −15.1394 + 26.2222i −0.731791 + 1.26750i
\(429\) 30.0723 13.8857i 1.45191 0.670408i
\(430\) −0.900204 + 1.55920i −0.0434117 + 0.0751912i
\(431\) 13.7404 + 23.7990i 0.661850 + 1.14636i 0.980129 + 0.198360i \(0.0635617\pi\)
−0.318279 + 0.947997i \(0.603105\pi\)
\(432\) 19.4895 4.98754i 0.937689 0.239963i
\(433\) 16.6749 + 28.8817i 0.801343 + 1.38797i 0.918732 + 0.394881i \(0.129214\pi\)
−0.117389 + 0.993086i \(0.537452\pi\)
\(434\) 1.69191 + 2.93047i 0.0812140 + 0.140667i
\(435\) −1.50277 + 16.4643i −0.0720523 + 0.789403i
\(436\) −3.25822 5.64340i −0.156040 0.270270i
\(437\) 19.0987 9.74367i 0.913617 0.466103i
\(438\) 0.0990949 1.08568i 0.00473494 0.0518759i
\(439\) 13.1597 + 22.7932i 0.628078 + 1.08786i 0.987937 + 0.154856i \(0.0494913\pi\)
−0.359860 + 0.933006i \(0.617175\pi\)
\(440\) −3.11550 + 5.39620i −0.148526 + 0.257254i
\(441\) 5.12099 + 14.4056i 0.243857 + 0.685980i
\(442\) −1.01613 + 1.75998i −0.0483322 + 0.0837138i
\(443\) −28.5529 −1.35659 −0.678293 0.734791i \(-0.737280\pi\)
−0.678293 + 0.734791i \(0.737280\pi\)
\(444\) 14.7965 + 10.4436i 0.702210 + 0.495633i
\(445\) −10.1906 17.6506i −0.483079 0.836718i
\(446\) −0.0890530 + 0.154244i −0.00421678 + 0.00730368i
\(447\) 2.17496 23.8288i 0.102872 1.12707i
\(448\) 13.0237 22.5577i 0.615312 1.06575i
\(449\) 29.8391 1.40819 0.704097 0.710104i \(-0.251352\pi\)
0.704097 + 0.710104i \(0.251352\pi\)
\(450\) 0.236343 + 0.664842i 0.0111413 + 0.0313410i
\(451\) 5.26477 9.11885i 0.247908 0.429390i
\(452\) −7.15371 −0.336482
\(453\) 5.17229 + 3.65070i 0.243015 + 0.171525i
\(454\) 1.30708 0.0613444
\(455\) −20.5519 35.5969i −0.963486 1.66881i
\(456\) −2.72105 + 3.45961i −0.127425 + 0.162011i
\(457\) −2.02990 + 3.51588i −0.0949546 + 0.164466i −0.909590 0.415508i \(-0.863604\pi\)
0.814635 + 0.579974i \(0.196937\pi\)
\(458\) 0.953475 1.65147i 0.0445530 0.0771680i
\(459\) −10.9557 11.2054i −0.511369 0.523024i
\(460\) −12.5058 21.6607i −0.583087 1.00994i
\(461\) 8.39068 + 14.5331i 0.390793 + 0.676873i 0.992554 0.121803i \(-0.0388675\pi\)
−0.601761 + 0.798676i \(0.705534\pi\)
\(462\) −2.99916 2.11687i −0.139534 0.0984855i
\(463\) −0.887050 1.53642i −0.0412247 0.0714033i 0.844677 0.535277i \(-0.179793\pi\)
−0.885902 + 0.463873i \(0.846459\pi\)
\(464\) 7.18967 + 12.4529i 0.333772 + 0.578110i
\(465\) 26.8333 12.3901i 1.24437 0.574578i
\(466\) −2.61533 −0.121153
\(467\) 13.4739 0.623496 0.311748 0.950165i \(-0.399086\pi\)
0.311748 + 0.950165i \(0.399086\pi\)
\(468\) −9.14245 25.7181i −0.422610 1.18882i
\(469\) −2.39486 4.14802i −0.110584 0.191538i
\(470\) −1.82886 3.16768i −0.0843591 0.146114i
\(471\) 0.715628 7.84040i 0.0329744 0.361267i
\(472\) 5.22483 0.240492
\(473\) −19.8816 −0.914155
\(474\) 0.701944 + 0.495446i 0.0322414 + 0.0227566i
\(475\) 5.86965 + 3.80751i 0.269318 + 0.174700i
\(476\) −20.7534 −0.951232
\(477\) −10.7630 30.2767i −0.492802 1.38627i
\(478\) −0.484572 + 0.839303i −0.0221638 + 0.0383888i
\(479\) −20.4128 −0.932685 −0.466343 0.884604i \(-0.654429\pi\)
−0.466343 + 0.884604i \(0.654429\pi\)
\(480\) 6.30366 + 4.44925i 0.287721 + 0.203079i
\(481\) 12.1513 21.0467i 0.554054 0.959649i
\(482\) 0.565551 + 0.979563i 0.0257601 + 0.0446179i
\(483\) 26.9017 12.4217i 1.22407 0.565205i
\(484\) −12.4544 −0.566108
\(485\) −2.39100 4.14133i −0.108570 0.188048i
\(486\) −2.27888 + 0.156321i −0.103372 + 0.00709086i
\(487\) 23.6649 1.07236 0.536180 0.844104i \(-0.319867\pi\)
0.536180 + 0.844104i \(0.319867\pi\)
\(488\) −0.550441 −0.0249173
\(489\) −0.362653 + 3.97322i −0.0163997 + 0.179675i
\(490\) −0.959617 + 1.66211i −0.0433511 + 0.0750863i
\(491\) 4.06836 0.183603 0.0918013 0.995777i \(-0.470738\pi\)
0.0918013 + 0.995777i \(0.470738\pi\)
\(492\) −7.08880 5.00341i −0.319588 0.225571i
\(493\) 5.60064 9.70060i 0.252240 0.436893i
\(494\) 2.46416 + 1.59844i 0.110868 + 0.0719172i
\(495\) −20.7943 + 24.4070i −0.934633 + 1.09701i
\(496\) 12.8530 22.2621i 0.577118 0.999598i
\(497\) 15.4887 + 26.8272i 0.694763 + 1.20336i
\(498\) −0.208848 + 2.28813i −0.00935869 + 0.102534i
\(499\) 27.3100 1.22257 0.611283 0.791412i \(-0.290654\pi\)
0.611283 + 0.791412i \(0.290654\pi\)
\(500\) −8.63137 + 14.9500i −0.386007 + 0.668583i
\(501\) −12.6536 8.93118i −0.565323 0.399016i
\(502\) 1.45194 2.51483i 0.0648032 0.112242i
\(503\) −10.8699 18.8272i −0.484665 0.839465i 0.515179 0.857082i \(-0.327725\pi\)
−0.999845 + 0.0176172i \(0.994392\pi\)
\(504\) −3.94487 + 4.63024i −0.175719 + 0.206247i
\(505\) −25.3998 −1.13028
\(506\) −1.49874 + 2.59590i −0.0666272 + 0.115402i
\(507\) −12.8100 + 5.91494i −0.568913 + 0.262692i
\(508\) 36.1160 1.60239
\(509\) 13.0857 22.6651i 0.580012 1.00461i −0.415465 0.909609i \(-0.636381\pi\)
0.995477 0.0950015i \(-0.0302856\pi\)
\(510\) 0.178817 1.95911i 0.00791814 0.0867510i
\(511\) −7.46965 12.9378i −0.330438 0.572335i
\(512\) 11.2250 0.496077
\(513\) −16.9938 + 14.9736i −0.750297 + 0.661101i
\(514\) −2.79830 −0.123428
\(515\) −24.0362 41.6319i −1.05916 1.83452i
\(516\) −1.48917 + 16.3153i −0.0655568 + 0.718239i
\(517\) 20.1958 34.9801i 0.888209 1.53842i
\(518\) −2.69340 −0.118341
\(519\) 2.03625 0.940225i 0.0893815 0.0412713i
\(520\) 3.44498 5.96688i 0.151072 0.261665i
\(521\) −30.4889 −1.33574 −0.667872 0.744276i \(-0.732795\pi\)
−0.667872 + 0.744276i \(0.732795\pi\)
\(522\) −0.546875 1.53838i −0.0239361 0.0673332i
\(523\) −10.8103 18.7241i −0.472703 0.818746i 0.526809 0.849984i \(-0.323388\pi\)
−0.999512 + 0.0312380i \(0.990055\pi\)
\(524\) −21.2689 + 36.8389i −0.929138 + 1.60931i
\(525\) 7.89956 + 5.57567i 0.344765 + 0.243342i
\(526\) −1.38073 + 2.39149i −0.0602026 + 0.104274i
\(527\) −20.0246 −0.872287
\(528\) −2.53489 + 27.7722i −0.110317 + 1.20863i
\(529\) −0.597391 1.03471i −0.0259735 0.0449875i
\(530\) 2.01686 3.49330i 0.0876068 0.151739i
\(531\) 26.4421 + 4.86753i 1.14749 + 0.211233i
\(532\) −1.55440 + 29.9544i −0.0673916 + 1.29869i
\(533\) −5.82155 + 10.0832i −0.252159 + 0.436753i
\(534\) 1.64439 + 1.16065i 0.0711599 + 0.0502261i
\(535\) −39.3311 −1.70043
\(536\) 0.401436 0.695307i 0.0173394 0.0300327i
\(537\) 1.16984 12.8168i 0.0504825 0.553086i
\(538\) −2.46827 −0.106415
\(539\) −21.1937 −0.912879
\(540\) 18.4714 + 18.8924i 0.794882 + 0.812999i
\(541\) −18.3616 31.8032i −0.789427 1.36733i −0.926318 0.376742i \(-0.877044\pi\)
0.136891 0.990586i \(-0.456289\pi\)
\(542\) −2.97164 −0.127643
\(543\) −0.965003 + 0.445584i −0.0414123 + 0.0191218i
\(544\) −2.61377 4.52719i −0.112065 0.194101i
\(545\) 4.23231 7.33057i 0.181292 0.314007i
\(546\) 3.31634 + 2.34074i 0.141926 + 0.100174i
\(547\) 17.2131 0.735980 0.367990 0.929830i \(-0.380046\pi\)
0.367990 + 0.929830i \(0.380046\pi\)
\(548\) −8.74672 + 15.1498i −0.373641 + 0.647166i
\(549\) −2.78570 0.512799i −0.118891 0.0218857i
\(550\) −0.978127 −0.0417075
\(551\) −13.5818 8.81022i −0.578605 0.375328i
\(552\) 4.05789 + 2.86414i 0.172715 + 0.121906i
\(553\) 11.7736 0.500666
\(554\) 1.21785 0.0517414
\(555\) −2.13838 + 23.4281i −0.0907692 + 0.994465i
\(556\) −13.1468 22.7709i −0.557547 0.965699i
\(557\) 8.67769 + 15.0302i 0.367686 + 0.636850i 0.989203 0.146550i \(-0.0468169\pi\)
−0.621518 + 0.783400i \(0.713484\pi\)
\(558\) −1.89290 + 2.22176i −0.0801328 + 0.0940547i
\(559\) 21.9841 0.929830
\(560\) 34.6065 1.46239
\(561\) 19.7230 9.10697i 0.832706 0.384497i
\(562\) −0.910808 1.57757i −0.0384201 0.0665456i
\(563\) 8.34041 + 14.4460i 0.351506 + 0.608827i 0.986514 0.163679i \(-0.0523362\pi\)
−0.635007 + 0.772506i \(0.719003\pi\)
\(564\) −27.1928 19.1932i −1.14502 0.808179i
\(565\) −4.64621 8.04747i −0.195468 0.338560i
\(566\) −2.14856 3.72142i −0.0903108 0.156423i
\(567\) −24.2780 + 19.7579i −1.01958 + 0.829752i
\(568\) −2.59627 + 4.49688i −0.108937 + 0.188685i
\(569\) 5.41399 9.37731i 0.226966 0.393117i −0.729941 0.683510i \(-0.760453\pi\)
0.956908 + 0.290393i \(0.0937859\pi\)
\(570\) −2.81428 0.404829i −0.117877 0.0169564i
\(571\) −11.5342 19.9778i −0.482691 0.836045i 0.517111 0.855918i \(-0.327007\pi\)
−0.999803 + 0.0198726i \(0.993674\pi\)
\(572\) 37.8369 1.58204
\(573\) 8.00175 + 5.64779i 0.334278 + 0.235940i
\(574\) 1.29038 0.0538592
\(575\) 3.94757 6.83740i 0.164625 0.285139i
\(576\) 22.0965 + 4.06758i 0.920689 + 0.169483i
\(577\) 2.29118 0.0953830 0.0476915 0.998862i \(-0.484814\pi\)
0.0476915 + 0.998862i \(0.484814\pi\)
\(578\) 0.579110 1.00305i 0.0240878 0.0417213i
\(579\) 0.277867 3.04431i 0.0115478 0.126517i
\(580\) −9.44271 + 16.3553i −0.392087 + 0.679115i
\(581\) 15.7427 + 27.2671i 0.653116 + 1.13123i
\(582\) 0.385822 + 0.272321i 0.0159928 + 0.0112880i
\(583\) 44.5436 1.84481
\(584\) 1.25209 2.16869i 0.0518119 0.0897409i
\(585\) 22.9934 26.9881i 0.950659 1.11582i
\(586\) 0.150531 0.260728i 0.00621840 0.0107706i
\(587\) −18.0322 31.2326i −0.744267 1.28911i −0.950536 0.310614i \(-0.899465\pi\)
0.206269 0.978495i \(-0.433868\pi\)
\(588\) −1.58745 + 17.3921i −0.0654654 + 0.717237i
\(589\) −1.49981 + 28.9025i −0.0617987 + 1.19091i
\(590\) 1.68756 + 2.92294i 0.0694758 + 0.120336i
\(591\) −0.216000 + 2.36649i −0.00888505 + 0.0973444i
\(592\) 10.2306 + 17.7199i 0.420475 + 0.728285i
\(593\) −3.95398 6.84849i −0.162370 0.281234i 0.773348 0.633982i \(-0.218581\pi\)
−0.935718 + 0.352748i \(0.885247\pi\)
\(594\) 0.853956 3.04916i 0.0350382 0.125109i
\(595\) −13.4790 23.3463i −0.552585 0.957105i
\(596\) 13.6665 23.6710i 0.559800 0.969602i
\(597\) 38.7098 17.8740i 1.58429 0.731535i
\(598\) 1.65724 2.87043i 0.0677697 0.117380i
\(599\) 16.0109 27.7317i 0.654187 1.13309i −0.327910 0.944709i \(-0.606344\pi\)
0.982097 0.188376i \(-0.0603225\pi\)
\(600\) −0.147322 + 1.61406i −0.00601440 + 0.0658937i
\(601\) −16.6013 + 28.7542i −0.677180 + 1.17291i 0.298646 + 0.954364i \(0.403465\pi\)
−0.975827 + 0.218546i \(0.929868\pi\)
\(602\) −1.21822 2.11002i −0.0496511 0.0859982i
\(603\) 2.67937 3.14487i 0.109112 0.128069i
\(604\) 3.61590 + 6.26293i 0.147129 + 0.254835i
\(605\) −8.08889 14.0104i −0.328860 0.569603i
\(606\) 2.27731 1.05153i 0.0925095 0.0427156i
\(607\) 19.9393 + 34.5360i 0.809313 + 1.40177i 0.913340 + 0.407197i \(0.133494\pi\)
−0.104027 + 0.994574i \(0.533173\pi\)
\(608\) −6.73006 + 3.43350i −0.272940 + 0.139247i
\(609\) −18.2788 12.9016i −0.740696 0.522798i
\(610\) −0.177786 0.307935i −0.00719835 0.0124679i
\(611\) −22.3316 + 38.6794i −0.903439 + 1.56480i
\(612\) −5.99610 16.8673i −0.242378 0.681820i
\(613\) −4.68793 + 8.11973i −0.189344 + 0.327953i −0.945032 0.326979i \(-0.893969\pi\)
0.755688 + 0.654932i \(0.227303\pi\)
\(614\) 1.62258 0.0654822
\(615\) 1.02447 11.2241i 0.0413106 0.452599i
\(616\) −4.21613 7.30254i −0.169873 0.294228i
\(617\) −15.2062 + 26.3379i −0.612179 + 1.06033i 0.378693 + 0.925522i \(0.376374\pi\)
−0.990872 + 0.134803i \(0.956960\pi\)
\(618\) 3.87859 + 2.73758i 0.156020 + 0.110122i
\(619\) −11.8294 + 20.4890i −0.475462 + 0.823524i −0.999605 0.0281061i \(-0.991052\pi\)
0.524143 + 0.851630i \(0.324386\pi\)
\(620\) 33.7617 1.35590
\(621\) 17.8681 + 18.2754i 0.717023 + 0.733365i
\(622\) −1.32290 + 2.29133i −0.0530435 + 0.0918740i
\(623\) 27.5813 1.10502
\(624\) 2.80297 30.7092i 0.112208 1.22935i
\(625\) −30.4491 −1.21797
\(626\) −0.862808 1.49443i −0.0344847 0.0597293i
\(627\) −11.6673 29.1492i −0.465946 1.16411i
\(628\) 4.49667 7.78847i 0.179437 0.310794i
\(629\) 7.96949 13.8036i 0.317764 0.550384i
\(630\) −3.86445 0.711377i −0.153964 0.0283420i
\(631\) 9.85638 + 17.0717i 0.392376 + 0.679615i 0.992762 0.120095i \(-0.0383198\pi\)
−0.600386 + 0.799710i \(0.704986\pi\)
\(632\) 0.986771 + 1.70914i 0.0392517 + 0.0679859i
\(633\) −1.12808 + 12.3592i −0.0448372 + 0.491236i
\(634\) −0.433522 0.750883i −0.0172174 0.0298214i
\(635\) 23.4567 + 40.6282i 0.930851 + 1.61228i
\(636\) 3.33640 36.5535i 0.132297 1.44944i
\(637\) 23.4351 0.928532
\(638\) 2.26329 0.0896047
\(639\) −17.3287 + 20.3393i −0.685513 + 0.804611i
\(640\) 5.86488 + 10.1583i 0.231830 + 0.401541i
\(641\) 0.592690 + 1.02657i 0.0234098 + 0.0405470i 0.877493 0.479589i \(-0.159214\pi\)
−0.854083 + 0.520136i \(0.825881\pi\)
\(642\) 3.52638 1.62828i 0.139175 0.0642631i
\(643\) −27.8563 −1.09854 −0.549272 0.835644i \(-0.685095\pi\)
−0.549272 + 0.835644i \(0.685095\pi\)
\(644\) 33.8476 1.33378
\(645\) −19.3208 + 8.92126i −0.760756 + 0.351274i
\(646\) 1.61612 + 1.04834i 0.0635855 + 0.0412464i
\(647\) −3.69287 −0.145182 −0.0725909 0.997362i \(-0.523127\pi\)
−0.0725909 + 0.997362i \(0.523127\pi\)
\(648\) −4.90297 1.86841i −0.192607 0.0733982i
\(649\) −18.6354 + 32.2775i −0.731504 + 1.26700i
\(650\) 1.08157 0.0424226
\(651\) −3.63559 + 39.8315i −0.142490 + 1.56112i
\(652\) −2.27875 + 3.94690i −0.0892426 + 0.154573i
\(653\) 0.659445 + 1.14219i 0.0258061 + 0.0446974i 0.878640 0.477485i \(-0.158451\pi\)
−0.852834 + 0.522182i \(0.825118\pi\)
\(654\) −0.0759826 + 0.832464i −0.00297115 + 0.0325519i
\(655\) −55.2552 −2.15900
\(656\) −4.90135 8.48939i −0.191366 0.331455i
\(657\) 8.35703 9.80894i 0.326039 0.382683i
\(658\) 4.94991 0.192967
\(659\) −4.85745 −0.189219 −0.0946097 0.995514i \(-0.530160\pi\)
−0.0946097 + 0.995514i \(0.530160\pi\)
\(660\) −33.2531 + 15.3544i −1.29437 + 0.597669i
\(661\) −15.1068 + 26.1657i −0.587586 + 1.01773i 0.406962 + 0.913445i \(0.366588\pi\)
−0.994548 + 0.104283i \(0.966745\pi\)
\(662\) −1.58203 −0.0614872
\(663\) −21.8088 + 10.0701i −0.846985 + 0.391090i
\(664\) −2.63885 + 4.57062i −0.102407 + 0.177374i
\(665\) −34.7063 + 17.7062i −1.34585 + 0.686618i
\(666\) −0.778181 2.18906i −0.0301539 0.0848242i
\(667\) −9.13431 + 15.8211i −0.353682 + 0.612595i
\(668\) −8.84604 15.3218i −0.342264 0.592818i
\(669\) −1.91132 + 0.882538i −0.0738958 + 0.0341209i
\(670\) 0.518636 0.0200367
\(671\) 1.96326 3.40046i 0.0757908 0.131273i
\(672\) −9.47967 + 4.37718i −0.365686 + 0.168853i
\(673\) 3.03772 5.26149i 0.117096 0.202815i −0.801520 0.597968i \(-0.795975\pi\)
0.918615 + 0.395153i \(0.129308\pi\)
\(674\) 2.12824 + 3.68622i 0.0819767 + 0.141988i
\(675\) −2.24926 + 8.03127i −0.0865739 + 0.309124i
\(676\) −16.1175 −0.619905
\(677\) 5.96003 10.3231i 0.229062 0.396748i −0.728468 0.685080i \(-0.759767\pi\)
0.957531 + 0.288332i \(0.0931007\pi\)
\(678\) 0.749733 + 0.529176i 0.0287933 + 0.0203229i
\(679\) 6.47135 0.248348
\(680\) 2.25940 3.91339i 0.0866440 0.150072i
\(681\) 12.6224 + 8.90914i 0.483692 + 0.341399i
\(682\) −2.02306 3.50404i −0.0774669 0.134177i
\(683\) −0.0898958 −0.00343977 −0.00171988 0.999999i \(-0.500547\pi\)
−0.00171988 + 0.999999i \(0.500547\pi\)
\(684\) −24.7944 + 7.39111i −0.948038 + 0.282606i
\(685\) −22.7233 −0.868214
\(686\) 0.485115 + 0.840245i 0.0185218 + 0.0320807i
\(687\) 20.4642 9.44919i 0.780757 0.360509i
\(688\) −9.25458 + 16.0294i −0.352827 + 0.611115i
\(689\) −49.2543 −1.87644
\(690\) −0.291640 + 3.19520i −0.0111025 + 0.121639i
\(691\) 3.96889 6.87432i 0.150984 0.261512i −0.780606 0.625024i \(-0.785089\pi\)
0.931589 + 0.363512i \(0.118423\pi\)
\(692\) 2.56201 0.0973929
\(693\) −14.5341 40.8849i −0.552103 1.55309i
\(694\) −0.897678 1.55482i −0.0340754 0.0590203i
\(695\) 17.0772 29.5785i 0.647774 1.12198i
\(696\) 0.340890 3.73478i 0.0129214 0.141567i
\(697\) −3.81808 + 6.61311i −0.144620 + 0.250489i
\(698\) 1.04092 0.0393995
\(699\) −25.2561 17.8263i −0.955274 0.674251i
\(700\) 5.52251 + 9.56527i 0.208731 + 0.361533i
\(701\) −24.0605 + 41.6741i −0.908753 + 1.57401i −0.0929554 + 0.995670i \(0.529631\pi\)
−0.815798 + 0.578337i \(0.803702\pi\)
\(702\) −0.944266 + 3.37163i −0.0356390 + 0.127254i
\(703\) −19.3264 12.5366i −0.728909 0.472826i
\(704\) −15.5728 + 26.9729i −0.586922 + 1.01658i
\(705\) 3.92989 43.0558i 0.148008 1.62157i
\(706\) 5.18799 0.195252
\(707\) 17.1864 29.7678i 0.646363 1.11953i
\(708\) 25.0918 + 17.7103i 0.943008 + 0.665593i
\(709\) 22.6589 0.850974 0.425487 0.904964i \(-0.360103\pi\)
0.425487 + 0.904964i \(0.360103\pi\)
\(710\) −3.35426 −0.125883
\(711\) 3.40165 + 9.56899i 0.127572 + 0.358865i
\(712\) 2.31164 + 4.00388i 0.0866323 + 0.150052i
\(713\) 32.6590 1.22309
\(714\) 2.17503 + 1.53518i 0.0813984 + 0.0574526i
\(715\) 24.5744 + 42.5641i 0.919031 + 1.59181i
\(716\) 7.35077 12.7319i 0.274711 0.475813i
\(717\) −10.4002 + 4.80224i −0.388404 + 0.179343i
\(718\) −2.30510 −0.0860256
\(719\) −7.93724 + 13.7477i −0.296009 + 0.512703i −0.975219 0.221241i \(-0.928989\pi\)
0.679210 + 0.733944i \(0.262323\pi\)
\(720\) 9.99855 + 28.1264i 0.372624 + 1.04821i
\(721\) 65.0552 2.42278
\(722\) 1.63416 2.25410i 0.0608173 0.0838891i
\(723\) −1.21527 + 13.3144i −0.0451962 + 0.495169i
\(724\) −1.21417 −0.0451241
\(725\) −5.96135 −0.221399
\(726\) 1.30526 + 0.921277i 0.0484427 + 0.0341918i
\(727\) −9.86736 17.0908i −0.365960 0.633862i 0.622969 0.782246i \(-0.285926\pi\)
−0.988930 + 0.148384i \(0.952593\pi\)
\(728\) 4.66200 + 8.07483i 0.172785 + 0.299273i
\(729\) −23.0726 14.0234i −0.854539 0.519386i
\(730\) 1.61764 0.0598717
\(731\) 14.4184 0.533282
\(732\) −2.64345 1.86580i −0.0977046 0.0689618i
\(733\) −8.80378 15.2486i −0.325175 0.563220i 0.656373 0.754437i \(-0.272090\pi\)
−0.981548 + 0.191217i \(0.938757\pi\)
\(734\) −2.19421 3.80049i −0.0809899 0.140279i
\(735\) −20.5960 + 9.51006i −0.759695 + 0.350784i
\(736\) 4.26291 + 7.38357i 0.157133 + 0.272162i
\(737\) 2.86360 + 4.95990i 0.105482 + 0.182700i
\(738\) 0.372816 + 1.04875i 0.0137236 + 0.0386050i
\(739\) 9.37525 16.2384i 0.344874 0.597339i −0.640457 0.767994i \(-0.721255\pi\)
0.985331 + 0.170655i \(0.0545883\pi\)
\(740\) −13.4366 + 23.2729i −0.493939 + 0.855528i
\(741\) 12.9012 + 32.2319i 0.473936 + 1.18407i
\(742\) 2.72937 + 4.72740i 0.100198 + 0.173548i
\(743\) 21.4141 0.785609 0.392804 0.919622i \(-0.371505\pi\)
0.392804 + 0.919622i \(0.371505\pi\)
\(744\) −6.08690 + 2.81059i −0.223157 + 0.103041i
\(745\) 35.5045 1.30078
\(746\) −0.800202 + 1.38599i −0.0292975 + 0.0507447i
\(747\) −17.6129 + 20.6728i −0.644421 + 0.756380i
\(748\) 24.8155 0.907343
\(749\) 26.6129 46.0949i 0.972414 1.68427i
\(750\) 2.01048 0.928325i 0.0734123 0.0338976i
\(751\) 16.1013 27.8883i 0.587546 1.01766i −0.407007 0.913425i \(-0.633428\pi\)
0.994553 0.104234i \(-0.0332391\pi\)
\(752\) −18.8017 32.5655i −0.685627 1.18754i
\(753\) 31.1625 14.3891i 1.13563 0.524368i
\(754\) −2.50265 −0.0911411
\(755\) −4.69693 + 8.13532i −0.170939 + 0.296075i
\(756\) −34.6397 + 8.86463i −1.25984 + 0.322403i
\(757\) 13.3362 23.0990i 0.484713 0.839548i −0.515133 0.857111i \(-0.672257\pi\)
0.999846 + 0.0175627i \(0.00559065\pi\)
\(758\) 1.24713 + 2.16010i 0.0452979 + 0.0784582i
\(759\) −32.1671 + 14.8529i −1.16759 + 0.539127i
\(760\) −5.47915 3.55420i −0.198750 0.128924i
\(761\) 2.75558 + 4.77281i 0.0998898 + 0.173014i 0.911639 0.410992i \(-0.134818\pi\)
−0.811749 + 0.584006i \(0.801484\pi\)
\(762\) −3.78508 2.67158i −0.137119 0.0967812i
\(763\) 5.72747 + 9.92027i 0.207348 + 0.359138i
\(764\) 5.59395 + 9.68901i 0.202382 + 0.350536i
\(765\) 15.0803 17.7002i 0.545228 0.639953i
\(766\) 0.699784 + 1.21206i 0.0252842 + 0.0437936i
\(767\) 20.6062 35.6910i 0.744047 1.28873i
\(768\) 20.2493 + 14.2924i 0.730684 + 0.515731i
\(769\) −8.53835 + 14.7889i −0.307901 + 0.533300i −0.977903 0.209059i \(-0.932960\pi\)
0.670002 + 0.742359i \(0.266293\pi\)
\(770\) 2.72352 4.71728i 0.0981488 0.169999i
\(771\) −27.0230 19.0734i −0.973211 0.686911i
\(772\) 1.74599 3.02414i 0.0628395 0.108841i
\(773\) −24.4260 42.3071i −0.878542 1.52168i −0.852941 0.522008i \(-0.825183\pi\)
−0.0256018 0.999672i \(-0.508150\pi\)
\(774\) 1.36295 1.59974i 0.0489901 &min