Properties

Label 588.2.x.a.55.9
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.9
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.782021 + 1.17832i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.776887 - 1.84295i) q^{4} +(1.10901 - 2.30289i) q^{5} +(1.21583 - 0.722326i) q^{6} +(-0.953739 - 2.46787i) q^{7} +(2.77913 + 0.525799i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.84628 + 3.10769i) q^{10} +(-0.204416 - 0.163016i) q^{11} +(-0.0996732 + 1.99751i) q^{12} +(-1.20528 - 0.961175i) q^{13} +(3.65379 + 0.806114i) q^{14} +(-1.99837 + 1.59365i) q^{15} +(-2.79289 + 2.86352i) q^{16} +(0.522426 + 0.119240i) q^{17} +(-1.40883 + 0.123263i) q^{18} -2.45782 q^{19} +(-5.10568 - 0.254766i) q^{20} +(-0.211480 + 2.63729i) q^{21} +(0.351943 - 0.113386i) q^{22} +(-5.87248 + 1.34035i) q^{23} +(-2.27577 - 1.67955i) q^{24} +(-0.955949 - 1.19872i) q^{25} +(2.07513 - 0.668544i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.80720 + 3.67494i) q^{28} +(1.08398 - 4.74921i) q^{29} +(-0.315063 - 3.60100i) q^{30} -6.22313 q^{31} +(-1.19005 - 5.53026i) q^{32} +(0.113442 + 0.235565i) q^{33} +(-0.549051 + 0.522337i) q^{34} +(-6.74095 - 0.540546i) q^{35} +(0.956492 - 1.75645i) q^{36} +(-2.44275 + 10.7024i) q^{37} +(1.92207 - 2.89611i) q^{38} +(0.668878 + 1.38894i) q^{39} +(4.29295 - 5.81691i) q^{40} +(4.94412 - 10.2666i) q^{41} +(-2.94219 - 2.31160i) q^{42} +(-0.805706 - 1.67307i) q^{43} +(-0.141622 + 0.503372i) q^{44} +(2.49193 - 0.568767i) q^{45} +(3.01303 - 7.96786i) q^{46} +(-1.05510 + 1.32306i) q^{47} +(3.75875 - 1.36815i) q^{48} +(-5.18077 + 4.70741i) q^{49} +(2.16005 - 0.188990i) q^{50} +(-0.418953 - 0.334104i) q^{51} +(-0.835031 + 2.96798i) q^{52} +(-0.859989 - 3.76786i) q^{53} +(1.32280 + 0.500213i) q^{54} +(-0.602108 + 0.289960i) q^{55} +(-1.35296 - 7.35999i) q^{56} +(2.21442 + 1.06641i) q^{57} +(4.74841 + 4.99126i) q^{58} +(12.3868 - 5.96515i) q^{59} +(4.48952 + 2.44481i) q^{60} +(-6.62807 - 1.51281i) q^{61} +(4.86661 - 7.33285i) q^{62} +(1.33481 - 2.28435i) q^{63} +(7.44707 + 2.92252i) q^{64} +(-3.55015 + 1.70966i) q^{65} +(-0.366285 - 0.0505453i) q^{66} -10.7668i q^{67} +(-0.186112 - 1.05544i) q^{68} +(5.87248 + 1.34035i) q^{69} +(5.90850 - 7.52029i) q^{70} +(-5.94010 + 1.35579i) q^{71} +(1.32167 + 2.50064i) q^{72} +(-2.22335 + 1.77307i) q^{73} +(-10.7006 - 11.2479i) q^{74} +(0.341174 + 1.49478i) q^{75} +(1.90945 + 4.52963i) q^{76} +(-0.207343 + 0.659946i) q^{77} +(-2.15969 - 0.298026i) q^{78} +8.70534i q^{79} +(3.49702 + 9.60742i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(8.23093 + 13.8545i) q^{82} +(-1.71158 - 2.14625i) q^{83} +(5.02467 - 1.65913i) q^{84} +(0.853975 - 1.07085i) q^{85} +(2.60149 + 0.358991i) q^{86} +(-3.03724 + 3.80857i) q^{87} +(-0.482383 - 0.560523i) q^{88} +(-2.44668 + 1.95116i) q^{89} +(-1.27855 + 3.38109i) q^{90} +(-1.22254 + 3.89117i) q^{91} +(7.03245 + 9.78135i) q^{92} +(5.60684 + 2.70011i) q^{93} +(-0.733876 - 2.27791i) q^{94} +(-2.72576 + 5.66010i) q^{95} +(-1.32729 + 5.49894i) q^{96} -12.1029i q^{97} +(-1.49537 - 9.78590i) q^{98} -0.261457i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.782021 + 1.17832i −0.552972 + 0.833200i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −0.776887 1.84295i −0.388443 0.921473i
\(5\) 1.10901 2.30289i 0.495966 1.02988i −0.491327 0.870975i \(-0.663488\pi\)
0.987293 0.158909i \(-0.0507977\pi\)
\(6\) 1.21583 0.722326i 0.496361 0.294888i
\(7\) −0.953739 2.46787i −0.360479 0.932767i
\(8\) 2.77913 + 0.525799i 0.982569 + 0.185898i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 1.84628 + 3.10769i 0.583844 + 0.982736i
\(11\) −0.204416 0.163016i −0.0616336 0.0491512i 0.592188 0.805799i \(-0.298264\pi\)
−0.653822 + 0.756648i \(0.726836\pi\)
\(12\) −0.0996732 + 1.99751i −0.0287732 + 0.576633i
\(13\) −1.20528 0.961175i −0.334283 0.266582i 0.441934 0.897048i \(-0.354293\pi\)
−0.776217 + 0.630466i \(0.782864\pi\)
\(14\) 3.65379 + 0.806114i 0.976516 + 0.215443i
\(15\) −1.99837 + 1.59365i −0.515978 + 0.411479i
\(16\) −2.79289 + 2.86352i −0.698224 + 0.715880i
\(17\) 0.522426 + 0.119240i 0.126707 + 0.0289200i 0.285404 0.958407i \(-0.407872\pi\)
−0.158697 + 0.987327i \(0.550729\pi\)
\(18\) −1.40883 + 0.123263i −0.332065 + 0.0290535i
\(19\) −2.45782 −0.563863 −0.281932 0.959434i \(-0.590975\pi\)
−0.281932 + 0.959434i \(0.590975\pi\)
\(20\) −5.10568 0.254766i −1.14167 0.0569675i
\(21\) −0.211480 + 2.63729i −0.0461487 + 0.575503i
\(22\) 0.351943 0.113386i 0.0750344 0.0241739i
\(23\) −5.87248 + 1.34035i −1.22450 + 0.279483i −0.785418 0.618966i \(-0.787552\pi\)
−0.439078 + 0.898449i \(0.644695\pi\)
\(24\) −2.27577 1.67955i −0.464540 0.342836i
\(25\) −0.955949 1.19872i −0.191190 0.239744i
\(26\) 2.07513 0.668544i 0.406966 0.131112i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −3.80720 + 3.67494i −0.719494 + 0.694499i
\(29\) 1.08398 4.74921i 0.201289 0.881907i −0.768863 0.639413i \(-0.779177\pi\)
0.970153 0.242494i \(-0.0779654\pi\)
\(30\) −0.315063 3.60100i −0.0575224 0.657449i
\(31\) −6.22313 −1.11771 −0.558853 0.829267i \(-0.688758\pi\)
−0.558853 + 0.829267i \(0.688758\pi\)
\(32\) −1.19005 5.53026i −0.210373 0.977621i
\(33\) 0.113442 + 0.235565i 0.0197477 + 0.0410066i
\(34\) −0.549051 + 0.522337i −0.0941615 + 0.0895801i
\(35\) −6.74095 0.540546i −1.13943 0.0913690i
\(36\) 0.956492 1.75645i 0.159415 0.292742i
\(37\) −2.44275 + 10.7024i −0.401586 + 1.75946i 0.219392 + 0.975637i \(0.429593\pi\)
−0.620978 + 0.783828i \(0.713264\pi\)
\(38\) 1.92207 2.89611i 0.311801 0.469811i
\(39\) 0.668878 + 1.38894i 0.107106 + 0.222408i
\(40\) 4.29295 5.81691i 0.678774 0.919734i
\(41\) 4.94412 10.2666i 0.772142 1.60337i −0.0250805 0.999685i \(-0.507984\pi\)
0.797223 0.603685i \(-0.206302\pi\)
\(42\) −2.94219 2.31160i −0.453990 0.356688i
\(43\) −0.805706 1.67307i −0.122869 0.255140i 0.830457 0.557082i \(-0.188079\pi\)
−0.953326 + 0.301942i \(0.902365\pi\)
\(44\) −0.141622 + 0.503372i −0.0213503 + 0.0758861i
\(45\) 2.49193 0.568767i 0.371475 0.0847868i
\(46\) 3.01303 7.96786i 0.444247 1.17480i
\(47\) −1.05510 + 1.32306i −0.153903 + 0.192988i −0.852805 0.522229i \(-0.825101\pi\)
0.698903 + 0.715217i \(0.253672\pi\)
\(48\) 3.75875 1.36815i 0.542528 0.197476i
\(49\) −5.18077 + 4.70741i −0.740109 + 0.672487i
\(50\) 2.16005 0.188990i 0.305478 0.0267273i
\(51\) −0.418953 0.334104i −0.0586651 0.0467839i
\(52\) −0.835031 + 2.96798i −0.115798 + 0.411585i
\(53\) −0.859989 3.76786i −0.118129 0.517555i −0.999021 0.0442387i \(-0.985914\pi\)
0.880892 0.473317i \(-0.156943\pi\)
\(54\) 1.32280 + 0.500213i 0.180010 + 0.0680703i
\(55\) −0.602108 + 0.289960i −0.0811882 + 0.0390982i
\(56\) −1.35296 7.35999i −0.180796 0.983521i
\(57\) 2.21442 + 1.06641i 0.293307 + 0.141249i
\(58\) 4.74841 + 4.99126i 0.623497 + 0.655384i
\(59\) 12.3868 5.96515i 1.61262 0.776596i 0.612712 0.790306i \(-0.290078\pi\)
0.999906 + 0.0137099i \(0.00436414\pi\)
\(60\) 4.48952 + 2.44481i 0.579595 + 0.315623i
\(61\) −6.62807 1.51281i −0.848637 0.193696i −0.223979 0.974594i \(-0.571905\pi\)
−0.624658 + 0.780898i \(0.714762\pi\)
\(62\) 4.86661 7.33285i 0.618061 0.931273i
\(63\) 1.33481 2.28435i 0.168171 0.287802i
\(64\) 7.44707 + 2.92252i 0.930884 + 0.365315i
\(65\) −3.55015 + 1.70966i −0.440342 + 0.212058i
\(66\) −0.366285 0.0505453i −0.0450866 0.00622170i
\(67\) 10.7668i 1.31538i −0.753290 0.657688i \(-0.771534\pi\)
0.753290 0.657688i \(-0.228466\pi\)
\(68\) −0.186112 1.05544i −0.0225694 0.127991i
\(69\) 5.87248 + 1.34035i 0.706963 + 0.161360i
\(70\) 5.90850 7.52029i 0.706201 0.898847i
\(71\) −5.94010 + 1.35579i −0.704960 + 0.160903i −0.559949 0.828527i \(-0.689179\pi\)
−0.145012 + 0.989430i \(0.546322\pi\)
\(72\) 1.32167 + 2.50064i 0.155760 + 0.294703i
\(73\) −2.22335 + 1.77307i −0.260224 + 0.207522i −0.744907 0.667168i \(-0.767506\pi\)
0.484683 + 0.874690i \(0.338935\pi\)
\(74\) −10.7006 11.2479i −1.24392 1.30754i
\(75\) 0.341174 + 1.49478i 0.0393954 + 0.172603i
\(76\) 1.90945 + 4.52963i 0.219029 + 0.519585i
\(77\) −0.207343 + 0.659946i −0.0236290 + 0.0752078i
\(78\) −2.15969 0.298026i −0.244537 0.0337448i
\(79\) 8.70534i 0.979428i 0.871883 + 0.489714i \(0.162899\pi\)
−0.871883 + 0.489714i \(0.837101\pi\)
\(80\) 3.49702 + 9.60742i 0.390978 + 1.07414i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 8.23093 + 13.8545i 0.908954 + 1.52997i
\(83\) −1.71158 2.14625i −0.187870 0.235582i 0.678972 0.734164i \(-0.262426\pi\)
−0.866843 + 0.498582i \(0.833854\pi\)
\(84\) 5.02467 1.65913i 0.548236 0.181026i
\(85\) 0.853975 1.07085i 0.0926266 0.116150i
\(86\) 2.60149 + 0.358991i 0.280526 + 0.0387110i
\(87\) −3.03724 + 3.80857i −0.325626 + 0.408322i
\(88\) −0.482383 0.560523i −0.0514222 0.0597520i
\(89\) −2.44668 + 1.95116i −0.259347 + 0.206823i −0.744528 0.667591i \(-0.767325\pi\)
0.485181 + 0.874414i \(0.338754\pi\)
\(90\) −1.27855 + 3.38109i −0.134771 + 0.356398i
\(91\) −1.22254 + 3.89117i −0.128157 + 0.407906i
\(92\) 7.03245 + 9.78135i 0.733184 + 1.01978i
\(93\) 5.60684 + 2.70011i 0.581402 + 0.279989i
\(94\) −0.733876 2.27791i −0.0756936 0.234949i
\(95\) −2.72576 + 5.66010i −0.279657 + 0.580714i
\(96\) −1.32729 + 5.49894i −0.135466 + 0.561233i
\(97\) 12.1029i 1.22887i −0.788968 0.614434i \(-0.789384\pi\)
0.788968 0.614434i \(-0.210616\pi\)
\(98\) −1.49537 9.78590i −0.151056 0.988525i
\(99\) 0.261457i 0.0262774i
\(100\) −1.46651 + 2.69303i −0.146651 + 0.269303i
\(101\) −0.145307 + 0.301734i −0.0144586 + 0.0300236i −0.908073 0.418812i \(-0.862447\pi\)
0.893614 + 0.448835i \(0.148161\pi\)
\(102\) 0.721312 0.232385i 0.0714205 0.0230096i
\(103\) −3.15427 1.51902i −0.310799 0.149673i 0.271981 0.962302i \(-0.412321\pi\)
−0.582781 + 0.812629i \(0.698035\pi\)
\(104\) −2.84423 3.30496i −0.278899 0.324078i
\(105\) 5.83885 + 3.41180i 0.569813 + 0.332958i
\(106\) 5.11228 + 1.93320i 0.496549 + 0.187769i
\(107\) 0.115987 0.0924964i 0.0112129 0.00894196i −0.617867 0.786282i \(-0.712003\pi\)
0.629080 + 0.777340i \(0.283432\pi\)
\(108\) −1.62387 + 1.16750i −0.156256 + 0.112343i
\(109\) −7.10077 + 8.90409i −0.680131 + 0.852857i −0.995366 0.0961564i \(-0.969345\pi\)
0.315235 + 0.949014i \(0.397917\pi\)
\(110\) 0.129195 0.936232i 0.0123182 0.0892662i
\(111\) 6.84445 8.58266i 0.649646 0.814630i
\(112\) 9.73048 + 4.16145i 0.919444 + 0.393220i
\(113\) 0.527640 + 0.661639i 0.0496362 + 0.0622418i 0.806030 0.591875i \(-0.201612\pi\)
−0.756394 + 0.654117i \(0.773041\pi\)
\(114\) −2.98830 + 1.77535i −0.279880 + 0.166277i
\(115\) −3.42597 + 15.0102i −0.319473 + 1.39970i
\(116\) −9.59467 + 1.69189i −0.890843 + 0.157088i
\(117\) 1.54161i 0.142521i
\(118\) −2.65784 + 19.2605i −0.244674 + 1.77307i
\(119\) −0.203988 1.40300i −0.0186996 0.128613i
\(120\) −6.39167 + 3.37821i −0.583477 + 0.308387i
\(121\) −2.43252 10.6576i −0.221138 0.968869i
\(122\) 6.96587 6.62695i 0.630660 0.599976i
\(123\) −8.90900 + 7.10469i −0.803298 + 0.640609i
\(124\) 4.83466 + 11.4689i 0.434166 + 1.02994i
\(125\) 8.63897 1.97179i 0.772693 0.176362i
\(126\) 1.64785 + 3.35925i 0.146803 + 0.299266i
\(127\) −8.33695 1.90285i −0.739784 0.168851i −0.164009 0.986459i \(-0.552443\pi\)
−0.575775 + 0.817608i \(0.695300\pi\)
\(128\) −9.26744 + 6.48958i −0.819133 + 0.573603i
\(129\) 1.85696i 0.163496i
\(130\) 0.761759 5.52021i 0.0668106 0.484155i
\(131\) 19.2511 9.27086i 1.68198 0.809999i 0.685328 0.728235i \(-0.259659\pi\)
0.996652 0.0817637i \(-0.0260553\pi\)
\(132\) 0.346002 0.392075i 0.0301156 0.0341257i
\(133\) 2.34412 + 6.06559i 0.203261 + 0.525953i
\(134\) 12.6868 + 8.41988i 1.09597 + 0.727367i
\(135\) −2.49193 0.568767i −0.214471 0.0489517i
\(136\) 1.38919 + 0.606074i 0.119122 + 0.0519704i
\(137\) −12.4924 + 6.01602i −1.06730 + 0.513983i −0.883235 0.468931i \(-0.844639\pi\)
−0.184063 + 0.982915i \(0.558925\pi\)
\(138\) −6.17177 + 5.87149i −0.525376 + 0.499814i
\(139\) 6.26369 + 3.01644i 0.531280 + 0.255851i 0.680236 0.732993i \(-0.261877\pi\)
−0.148957 + 0.988844i \(0.547591\pi\)
\(140\) 4.24076 + 12.8431i 0.358409 + 1.08544i
\(141\) 1.52467 0.734242i 0.128400 0.0618344i
\(142\) 3.04773 8.05961i 0.255760 0.676347i
\(143\) 0.0896902 + 0.392958i 0.00750027 + 0.0328608i
\(144\) −3.98013 0.398197i −0.331678 0.0331831i
\(145\) −9.73478 7.76323i −0.808429 0.644701i
\(146\) −0.350533 4.00640i −0.0290104 0.331572i
\(147\) 6.71018 1.99338i 0.553446 0.164411i
\(148\) 21.6217 3.81270i 1.77729 0.313402i
\(149\) −1.89452 + 2.37565i −0.155205 + 0.194621i −0.853354 0.521331i \(-0.825436\pi\)
0.698149 + 0.715952i \(0.254007\pi\)
\(150\) −2.02814 0.766937i −0.165597 0.0626202i
\(151\) 17.4969 3.99355i 1.42387 0.324990i 0.559915 0.828550i \(-0.310834\pi\)
0.863960 + 0.503560i \(0.167977\pi\)
\(152\) −6.83060 1.29232i −0.554035 0.104821i
\(153\) 0.232501 + 0.482794i 0.0187966 + 0.0390316i
\(154\) −0.615482 0.760408i −0.0495969 0.0612755i
\(155\) −6.90153 + 14.3312i −0.554345 + 1.15111i
\(156\) 2.04010 2.31175i 0.163338 0.185088i
\(157\) 0.497740 + 1.03357i 0.0397240 + 0.0824877i 0.919886 0.392185i \(-0.128281\pi\)
−0.880162 + 0.474673i \(0.842566\pi\)
\(158\) −10.2577 6.80776i −0.816059 0.541596i
\(159\) −0.859989 + 3.76786i −0.0682016 + 0.298811i
\(160\) −14.0554 3.39259i −1.11117 0.268208i
\(161\) 8.90863 + 13.2142i 0.702098 + 1.04142i
\(162\) −0.974763 1.02462i −0.0765846 0.0805014i
\(163\) 2.73763 + 5.68474i 0.214428 + 0.445263i 0.980243 0.197797i \(-0.0633787\pi\)
−0.765815 + 0.643060i \(0.777664\pi\)
\(164\) −22.7618 1.13578i −1.77740 0.0886896i
\(165\) 0.668289 0.0520263
\(166\) 3.86747 0.338378i 0.300174 0.0262632i
\(167\) −3.85943 + 16.9093i −0.298652 + 1.30848i 0.573485 + 0.819216i \(0.305591\pi\)
−0.872137 + 0.489262i \(0.837266\pi\)
\(168\) −1.97441 + 7.21815i −0.152329 + 0.556892i
\(169\) −2.36394 10.3571i −0.181842 0.796700i
\(170\) 0.593981 + 1.84368i 0.0455562 + 0.141404i
\(171\) −1.53243 1.92160i −0.117188 0.146949i
\(172\) −2.45743 + 2.78465i −0.187377 + 0.212328i
\(173\) −10.7372 + 2.45069i −0.816331 + 0.186322i −0.610246 0.792212i \(-0.708929\pi\)
−0.206085 + 0.978534i \(0.566072\pi\)
\(174\) −2.11255 6.55723i −0.160152 0.497102i
\(175\) −2.04656 + 3.50243i −0.154706 + 0.264758i
\(176\) 1.03771 0.130062i 0.0782204 0.00980376i
\(177\) −13.7483 −1.03338
\(178\) −0.385743 4.40882i −0.0289126 0.330455i
\(179\) 10.0147 + 2.28579i 0.748533 + 0.170848i 0.579738 0.814803i \(-0.303155\pi\)
0.168796 + 0.985651i \(0.446012\pi\)
\(180\) −2.98416 4.15063i −0.222426 0.309369i
\(181\) 17.6317 14.0608i 1.31056 1.04513i 0.315184 0.949031i \(-0.397934\pi\)
0.995371 0.0961021i \(-0.0306375\pi\)
\(182\) −3.62901 4.48352i −0.269000 0.332341i
\(183\) 5.31530 + 4.23881i 0.392918 + 0.313342i
\(184\) −17.0251 + 0.637272i −1.25511 + 0.0469803i
\(185\) 21.9374 + 17.4945i 1.61287 + 1.28622i
\(186\) −7.56627 + 4.49512i −0.554786 + 0.329598i
\(187\) −0.0873538 0.109538i −0.00638795 0.00801023i
\(188\) 3.25802 + 0.916633i 0.237616 + 0.0668523i
\(189\) −2.19377 + 1.47898i −0.159573 + 0.107580i
\(190\) −4.53782 7.63814i −0.329208 0.554129i
\(191\) 9.92788 20.6155i 0.718356 1.49168i −0.146258 0.989246i \(-0.546723\pi\)
0.864614 0.502436i \(-0.167563\pi\)
\(192\) −5.44155 5.86426i −0.392710 0.423217i
\(193\) −12.1928 5.87173i −0.877655 0.422656i −0.0598874 0.998205i \(-0.519074\pi\)
−0.817767 + 0.575549i \(0.804788\pi\)
\(194\) 14.2612 + 9.46476i 1.02389 + 0.679530i
\(195\) 3.94037 0.282176
\(196\) 12.7004 + 5.89075i 0.907168 + 0.420768i
\(197\) −0.578845 −0.0412410 −0.0206205 0.999787i \(-0.506564\pi\)
−0.0206205 + 0.999787i \(0.506564\pi\)
\(198\) 0.308081 + 0.204465i 0.0218944 + 0.0145307i
\(199\) 3.01031 + 1.44969i 0.213395 + 0.102766i 0.537528 0.843246i \(-0.319358\pi\)
−0.324133 + 0.946012i \(0.605073\pi\)
\(200\) −2.02642 3.83403i −0.143289 0.271107i
\(201\) −4.67155 + 9.70057i −0.329506 + 0.684226i
\(202\) −0.241906 0.407181i −0.0170205 0.0286491i
\(203\) −12.7543 + 1.85439i −0.895175 + 0.130153i
\(204\) −0.290256 + 1.03167i −0.0203220 + 0.0722312i
\(205\) −18.1597 22.7716i −1.26833 1.59044i
\(206\) 4.25659 2.52884i 0.296571 0.176193i
\(207\) −4.70936 3.75559i −0.327323 0.261032i
\(208\) 6.11855 0.766870i 0.424245 0.0531728i
\(209\) 0.502417 + 0.400665i 0.0347529 + 0.0277145i
\(210\) −8.58631 + 4.21195i −0.592511 + 0.290652i
\(211\) 20.5381 16.3786i 1.41390 1.12755i 0.440688 0.897660i \(-0.354735\pi\)
0.973216 0.229891i \(-0.0738369\pi\)
\(212\) −6.27584 + 4.51211i −0.431027 + 0.309893i
\(213\) 5.94010 + 1.35579i 0.407009 + 0.0928972i
\(214\) 0.0182865 + 0.209004i 0.00125004 + 0.0142872i
\(215\) −4.74643 −0.323704
\(216\) −0.105798 2.82645i −0.00719862 0.192315i
\(217\) 5.93524 + 15.3579i 0.402910 + 1.04256i
\(218\) −4.93893 15.3302i −0.334507 1.03829i
\(219\) 2.77248 0.632800i 0.187347 0.0427606i
\(220\) 1.00215 + 0.884386i 0.0675649 + 0.0596253i
\(221\) −0.515056 0.645860i −0.0346464 0.0434452i
\(222\) 4.76064 + 14.7768i 0.319514 + 0.991753i
\(223\) −0.365626 1.60191i −0.0244841 0.107272i 0.961209 0.275820i \(-0.0889493\pi\)
−0.985693 + 0.168548i \(0.946092\pi\)
\(224\) −12.5130 + 8.21131i −0.836058 + 0.548641i
\(225\) 0.341174 1.49478i 0.0227449 0.0996521i
\(226\) −1.19225 + 0.104314i −0.0793073 + 0.00693886i
\(227\) 17.9948 1.19436 0.597180 0.802108i \(-0.296288\pi\)
0.597180 + 0.802108i \(0.296288\pi\)
\(228\) 0.244979 4.90954i 0.0162241 0.325142i
\(229\) 3.73440 + 7.75456i 0.246776 + 0.512436i 0.987157 0.159752i \(-0.0510693\pi\)
−0.740381 + 0.672187i \(0.765355\pi\)
\(230\) −15.0076 15.7751i −0.989573 1.04018i
\(231\) 0.473149 0.504628i 0.0311309 0.0332021i
\(232\) 5.50964 12.6287i 0.361725 0.829115i
\(233\) 4.84481 21.2265i 0.317394 1.39059i −0.524711 0.851280i \(-0.675827\pi\)
0.842105 0.539313i \(-0.181316\pi\)
\(234\) 1.81651 + 1.20557i 0.118749 + 0.0788104i
\(235\) 1.87674 + 3.89708i 0.122425 + 0.254218i
\(236\) −20.6165 18.1939i −1.34202 1.18432i
\(237\) 3.77711 7.84324i 0.245349 0.509473i
\(238\) 1.81271 + 0.856813i 0.117501 + 0.0555390i
\(239\) 10.2348 + 21.2528i 0.662034 + 1.37473i 0.913491 + 0.406859i \(0.133376\pi\)
−0.251458 + 0.967868i \(0.580910\pi\)
\(240\) 1.01780 10.1733i 0.0656987 0.656682i
\(241\) 20.7811 4.74314i 1.33863 0.305533i 0.507517 0.861642i \(-0.330563\pi\)
0.831109 + 0.556109i \(0.187706\pi\)
\(242\) 14.4603 + 5.46814i 0.929545 + 0.351506i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 2.36123 + 13.3904i 0.151162 + 0.857236i
\(245\) 5.09510 + 17.1513i 0.325514 + 1.09576i
\(246\) −1.40459 16.0537i −0.0895535 1.02355i
\(247\) 2.96236 + 2.36240i 0.188490 + 0.150316i
\(248\) −17.2948 3.27211i −1.09822 0.207779i
\(249\) 0.610856 + 2.67634i 0.0387114 + 0.169606i
\(250\) −4.43245 + 11.7215i −0.280333 + 0.741331i
\(251\) 3.33640 1.60672i 0.210592 0.101416i −0.325615 0.945503i \(-0.605571\pi\)
0.536206 + 0.844087i \(0.319857\pi\)
\(252\) −5.24694 0.685301i −0.330526 0.0431699i
\(253\) 1.41892 + 0.683318i 0.0892070 + 0.0429598i
\(254\) 8.76184 8.33554i 0.549767 0.523018i
\(255\) −1.23403 + 0.594277i −0.0772779 + 0.0372151i
\(256\) −0.399486 15.9950i −0.0249679 0.999688i
\(257\) 10.4509 + 2.38534i 0.651907 + 0.148793i 0.535669 0.844428i \(-0.320059\pi\)
0.116238 + 0.993221i \(0.462917\pi\)
\(258\) −2.18810 1.45218i −0.136225 0.0904090i
\(259\) 28.7419 4.17890i 1.78593 0.259664i
\(260\) 5.90888 + 5.21452i 0.366453 + 0.323391i
\(261\) 4.38893 2.11360i 0.271668 0.130828i
\(262\) −4.13073 + 29.9340i −0.255197 + 1.84933i
\(263\) 19.1872i 1.18313i −0.806256 0.591567i \(-0.798510\pi\)
0.806256 0.591567i \(-0.201490\pi\)
\(264\) 0.191410 + 0.714312i 0.0117805 + 0.0439629i
\(265\) −9.63071 2.19815i −0.591610 0.135031i
\(266\) −8.98037 1.98129i −0.550622 0.121481i
\(267\) 3.05096 0.696361i 0.186715 0.0426166i
\(268\) −19.8427 + 8.36460i −1.21208 + 0.510949i
\(269\) 18.4371 14.7031i 1.12413 0.896465i 0.128675 0.991687i \(-0.458927\pi\)
0.995456 + 0.0952217i \(0.0303560\pi\)
\(270\) 2.61893 2.49151i 0.159383 0.151629i
\(271\) −3.08705 13.5252i −0.187525 0.821600i −0.977916 0.208998i \(-0.932980\pi\)
0.790391 0.612602i \(-0.209877\pi\)
\(272\) −1.80053 + 1.16295i −0.109173 + 0.0705142i
\(273\) 2.78979 2.97539i 0.168846 0.180079i
\(274\) 2.68050 19.4247i 0.161935 1.17349i
\(275\) 0.400872i 0.0241735i
\(276\) −2.09205 11.8640i −0.125927 0.714126i
\(277\) −1.61545 + 7.07774i −0.0970628 + 0.425260i −0.999990 0.00453410i \(-0.998557\pi\)
0.902927 + 0.429794i \(0.141414\pi\)
\(278\) −8.45267 + 5.02173i −0.506958 + 0.301184i
\(279\) −3.88006 4.86544i −0.232293 0.291286i
\(280\) −18.4497 5.04663i −1.10258 0.301594i
\(281\) −11.7601 + 14.7467i −0.701551 + 0.879717i −0.997138 0.0755985i \(-0.975913\pi\)
0.295587 + 0.955316i \(0.404485\pi\)
\(282\) −0.327150 + 2.37075i −0.0194815 + 0.141176i
\(283\) −17.6031 + 22.0736i −1.04639 + 1.31214i −0.0979501 + 0.995191i \(0.531229\pi\)
−0.948444 + 0.316945i \(0.897343\pi\)
\(284\) 7.11343 + 9.89399i 0.422105 + 0.587100i
\(285\) 4.91165 3.91691i 0.290941 0.232018i
\(286\) −0.533171 0.201618i −0.0315271 0.0119219i
\(287\) −30.0520 2.40982i −1.77391 0.142247i
\(288\) 3.58175 4.37848i 0.211057 0.258004i
\(289\) −15.0578 7.25144i −0.885751 0.426555i
\(290\) 16.7604 5.39970i 0.984204 0.317081i
\(291\) −5.25127 + 10.9044i −0.307835 + 0.639226i
\(292\) 4.99496 + 2.72005i 0.292308 + 0.159179i
\(293\) 21.2536i 1.24165i −0.783950 0.620824i \(-0.786798\pi\)
0.783950 0.620824i \(-0.213202\pi\)
\(294\) −2.89866 + 9.46561i −0.169053 + 0.552046i
\(295\) 35.1408i 2.04598i
\(296\) −12.4160 + 28.4589i −0.721667 + 1.65414i
\(297\) −0.113442 + 0.235565i −0.00658258 + 0.0136689i
\(298\) −1.31773 4.09016i −0.0763340 0.236937i
\(299\) 8.36627 + 4.02898i 0.483834 + 0.233002i
\(300\) 2.48975 1.79004i 0.143746 0.103348i
\(301\) −3.36047 + 3.58404i −0.193695 + 0.206581i
\(302\) −8.97723 + 23.7400i −0.516582 + 1.36608i
\(303\) 0.261835 0.208806i 0.0150420 0.0119956i
\(304\) 6.86444 7.03803i 0.393703 0.403659i
\(305\) −10.8345 + 13.5860i −0.620380 + 0.777932i
\(306\) −0.750707 0.103593i −0.0429151 0.00592204i
\(307\) 17.5823 22.0475i 1.00347 1.25831i 0.0376009 0.999293i \(-0.488028\pi\)
0.965871 0.259022i \(-0.0834001\pi\)
\(308\) 1.37733 0.130581i 0.0784804 0.00744053i
\(309\) 2.18282 + 2.73717i 0.124176 + 0.155712i
\(310\) −11.4896 19.3395i −0.652566 1.09841i
\(311\) 4.30391 18.8567i 0.244052 1.06926i −0.693237 0.720710i \(-0.743816\pi\)
0.937289 0.348553i \(-0.113327\pi\)
\(312\) 1.12859 + 4.21173i 0.0638940 + 0.238442i
\(313\) 10.3107i 0.582796i −0.956602 0.291398i \(-0.905880\pi\)
0.956602 0.291398i \(-0.0941205\pi\)
\(314\) −1.60712 0.221773i −0.0906949 0.0125154i
\(315\) −3.78030 5.60731i −0.212996 0.315936i
\(316\) 16.0435 6.76307i 0.902516 0.380452i
\(317\) −0.852821 3.73645i −0.0478992 0.209860i 0.945315 0.326158i \(-0.105754\pi\)
−0.993214 + 0.116298i \(0.962897\pi\)
\(318\) −3.76722 3.95989i −0.211255 0.222060i
\(319\) −0.995779 + 0.794108i −0.0557529 + 0.0444615i
\(320\) 14.9892 13.9087i 0.837919 0.777519i
\(321\) −0.144633 + 0.0330116i −0.00807264 + 0.00184253i
\(322\) −22.5373 + 0.163485i −1.25595 + 0.00911067i
\(323\) −1.28403 0.293071i −0.0714453 0.0163069i
\(324\) 1.96961 0.347315i 0.109423 0.0192953i
\(325\) 2.36363i 0.131110i
\(326\) −8.83934 1.21978i −0.489566 0.0675574i
\(327\) 10.2609 4.94140i 0.567430 0.273260i
\(328\) 19.1385 25.9325i 1.05675 1.43188i
\(329\) 4.27143 + 1.34201i 0.235492 + 0.0739873i
\(330\) −0.522616 + 0.787460i −0.0287691 + 0.0433483i
\(331\) −16.3929 3.74157i −0.901036 0.205656i −0.253181 0.967419i \(-0.581477\pi\)
−0.647855 + 0.761764i \(0.724334\pi\)
\(332\) −2.62573 + 4.82175i −0.144105 + 0.264628i
\(333\) −9.89051 + 4.76302i −0.541997 + 0.261012i
\(334\) −16.9064 17.7710i −0.925077 0.972388i
\(335\) −24.7948 11.9406i −1.35469 0.652382i
\(336\) −6.96128 7.97124i −0.379769 0.434867i
\(337\) −26.5673 + 12.7941i −1.44721 + 0.696941i −0.982109 0.188314i \(-0.939698\pi\)
−0.465105 + 0.885256i \(0.653983\pi\)
\(338\) 14.0527 + 5.31398i 0.764364 + 0.289043i
\(339\) −0.188312 0.825051i −0.0102277 0.0448106i
\(340\) −2.63696 0.741899i −0.143009 0.0402351i
\(341\) 1.27210 + 1.01447i 0.0688883 + 0.0549366i
\(342\) 3.46266 0.302960i 0.187239 0.0163822i
\(343\) 16.5584 + 8.29582i 0.894068 + 0.447932i
\(344\) −1.35946 5.07330i −0.0732973 0.273534i
\(345\) 9.59935 12.0372i 0.516812 0.648061i
\(346\) 5.50898 14.5683i 0.296165 0.783197i
\(347\) 18.5276 4.22879i 0.994611 0.227014i 0.305911 0.952060i \(-0.401039\pi\)
0.688700 + 0.725046i \(0.258182\pi\)
\(348\) 9.37858 + 2.63863i 0.502745 + 0.141445i
\(349\) 2.75723 + 5.72544i 0.147591 + 0.306476i 0.961637 0.274324i \(-0.0884541\pi\)
−0.814046 + 0.580800i \(0.802740\pi\)
\(350\) −2.52653 5.15048i −0.135049 0.275305i
\(351\) −0.668878 + 1.38894i −0.0357020 + 0.0741361i
\(352\) −0.658257 + 1.32447i −0.0350852 + 0.0705944i
\(353\) 9.20804 + 19.1207i 0.490094 + 1.01769i 0.988566 + 0.150786i \(0.0481804\pi\)
−0.498472 + 0.866906i \(0.666105\pi\)
\(354\) 10.7514 16.1999i 0.571432 0.861014i
\(355\) −3.46542 + 15.1830i −0.183925 + 0.805830i
\(356\) 5.49667 + 2.99326i 0.291323 + 0.158643i
\(357\) −0.424953 + 1.35257i −0.0224909 + 0.0715855i
\(358\) −10.5251 + 10.0130i −0.556268 + 0.529203i
\(359\) −1.66270 3.45264i −0.0877541 0.182223i 0.852473 0.522771i \(-0.175102\pi\)
−0.940227 + 0.340548i \(0.889387\pi\)
\(360\) 7.22445 0.270421i 0.380762 0.0142524i
\(361\) −12.9591 −0.682058
\(362\) 2.77981 + 31.7717i 0.146104 + 1.66988i
\(363\) −2.43252 + 10.6576i −0.127674 + 0.559377i
\(364\) 8.12099 0.769931i 0.425656 0.0403554i
\(365\) 1.61745 + 7.08650i 0.0846610 + 0.370924i
\(366\) −9.15136 + 2.94830i −0.478349 + 0.154110i
\(367\) −16.7011 20.9425i −0.871791 1.09319i −0.994907 0.100799i \(-0.967860\pi\)
0.123116 0.992392i \(-0.460711\pi\)
\(368\) 12.5631 20.5594i 0.654896 1.07173i
\(369\) 11.1093 2.53564i 0.578329 0.132000i
\(370\) −37.7697 + 12.1683i −1.96355 + 0.632599i
\(371\) −8.47838 + 5.71590i −0.440176 + 0.296754i
\(372\) 0.620279 12.4308i 0.0321600 0.644506i
\(373\) 7.19997 0.372800 0.186400 0.982474i \(-0.440318\pi\)
0.186400 + 0.982474i \(0.440318\pi\)
\(374\) 0.197384 0.0172698i 0.0102065 0.000892999i
\(375\) −8.63897 1.97179i −0.446115 0.101823i
\(376\) −3.62793 + 3.12217i −0.187096 + 0.161014i
\(377\) −5.87132 + 4.68222i −0.302388 + 0.241147i
\(378\) −0.0271412 3.74156i −0.00139599 0.192445i
\(379\) −16.2358 12.9476i −0.833978 0.665075i 0.110418 0.993885i \(-0.464781\pi\)
−0.944396 + 0.328810i \(0.893352\pi\)
\(380\) 12.5489 + 0.626171i 0.643743 + 0.0321219i
\(381\) 6.68571 + 5.33168i 0.342519 + 0.273150i
\(382\) 16.5278 + 27.8200i 0.845638 + 1.42339i
\(383\) −13.3514 16.7421i −0.682224 0.855482i 0.313333 0.949643i \(-0.398554\pi\)
−0.995557 + 0.0941615i \(0.969983\pi\)
\(384\) 11.1654 1.82592i 0.569782 0.0931785i
\(385\) 1.28984 + 1.20938i 0.0657362 + 0.0616356i
\(386\) 16.4538 9.77520i 0.837476 0.497544i
\(387\) 0.805706 1.67307i 0.0409563 0.0850467i
\(388\) −22.3051 + 9.40262i −1.13237 + 0.477346i
\(389\) 11.4226 + 5.50084i 0.579149 + 0.278903i 0.700437 0.713714i \(-0.252988\pi\)
−0.121288 + 0.992617i \(0.538703\pi\)
\(390\) −3.08145 + 4.64303i −0.156035 + 0.235109i
\(391\) −3.22776 −0.163235
\(392\) −16.8731 + 10.3584i −0.852222 + 0.523180i
\(393\) −21.3671 −1.07783
\(394\) 0.452669 0.682066i 0.0228051 0.0343620i
\(395\) 20.0475 + 9.65435i 1.00870 + 0.485763i
\(396\) −0.481851 + 0.203123i −0.0242139 + 0.0102073i
\(397\) −4.92258 + 10.2218i −0.247057 + 0.513020i −0.987211 0.159418i \(-0.949038\pi\)
0.740154 + 0.672437i \(0.234753\pi\)
\(398\) −4.06232 + 2.41343i −0.203626 + 0.120974i
\(399\) 0.519780 6.48198i 0.0260216 0.324505i
\(400\) 6.10243 + 0.610525i 0.305121 + 0.0305263i
\(401\) 2.43463 + 3.05293i 0.121579 + 0.152456i 0.838896 0.544291i \(-0.183201\pi\)
−0.717317 + 0.696747i \(0.754630\pi\)
\(402\) −7.77715 13.0906i −0.387889 0.652902i
\(403\) 7.50058 + 5.98152i 0.373631 + 0.297960i
\(404\) 0.668966 + 0.0333805i 0.0332823 + 0.00166074i
\(405\) 1.99837 + 1.59365i 0.0993000 + 0.0791891i
\(406\) 7.78903 16.4788i 0.386563 0.817830i
\(407\) 2.24400 1.78953i 0.111231 0.0887037i
\(408\) −0.988651 1.14880i −0.0489455 0.0568741i
\(409\) 16.9833 + 3.87633i 0.839771 + 0.191672i 0.620711 0.784039i \(-0.286844\pi\)
0.219060 + 0.975711i \(0.429701\pi\)
\(410\) 41.0335 3.59016i 2.02650 0.177305i
\(411\) 13.8655 0.683935
\(412\) −0.348953 + 6.99325i −0.0171917 + 0.344533i
\(413\) −26.5349 24.8797i −1.30570 1.22425i
\(414\) 8.10811 2.61220i 0.398492 0.128382i
\(415\) −6.84076 + 1.56136i −0.335800 + 0.0766441i
\(416\) −3.88122 + 7.80933i −0.190292 + 0.382884i
\(417\) −4.33461 5.43543i −0.212267 0.266174i
\(418\) −0.865013 + 0.278682i −0.0423092 + 0.0136308i
\(419\) 5.40913 + 23.6990i 0.264253 + 1.15777i 0.916586 + 0.399837i \(0.130933\pi\)
−0.652333 + 0.757933i \(0.726210\pi\)
\(420\) 1.75164 13.4113i 0.0854713 0.654403i
\(421\) −0.517855 + 2.26887i −0.0252387 + 0.110578i −0.985978 0.166874i \(-0.946633\pi\)
0.960740 + 0.277452i \(0.0894899\pi\)
\(422\) 3.23804 + 37.0090i 0.157625 + 1.80157i
\(423\) −1.69226 −0.0822803
\(424\) −0.408882 10.9235i −0.0198571 0.530494i
\(425\) −0.356476 0.740230i −0.0172916 0.0359065i
\(426\) −6.24284 + 5.93910i −0.302467 + 0.287750i
\(427\) 2.58802 + 17.8000i 0.125243 + 0.861404i
\(428\) −0.260574 0.141898i −0.0125953 0.00685890i
\(429\) 0.0896902 0.392958i 0.00433028 0.0189722i
\(430\) 3.71181 5.59282i 0.178999 0.269710i
\(431\) −2.55613 5.30786i −0.123124 0.255671i 0.830291 0.557329i \(-0.188174\pi\)
−0.953416 + 0.301659i \(0.902460\pi\)
\(432\) 3.41320 + 2.08568i 0.164218 + 0.100347i
\(433\) −5.71318 + 11.8635i −0.274558 + 0.570125i −0.991963 0.126532i \(-0.959616\pi\)
0.717405 + 0.696656i \(0.245330\pi\)
\(434\) −22.7380 5.01655i −1.09146 0.240802i
\(435\) 5.40240 + 11.2182i 0.259025 + 0.537871i
\(436\) 21.9262 + 6.16887i 1.05008 + 0.295435i
\(437\) 14.4335 3.29436i 0.690449 0.157590i
\(438\) −1.42249 + 3.76173i −0.0679693 + 0.179743i
\(439\) −25.8982 + 32.4753i −1.23605 + 1.54996i −0.514751 + 0.857340i \(0.672116\pi\)
−0.721301 + 0.692621i \(0.756456\pi\)
\(440\) −1.82579 + 0.489247i −0.0870413 + 0.0233239i
\(441\) −6.91055 1.11547i −0.329074 0.0531174i
\(442\) 1.16382 0.101826i 0.0553571 0.00484338i
\(443\) 32.1707 + 25.6553i 1.52848 + 1.21892i 0.895763 + 0.444533i \(0.146630\pi\)
0.632713 + 0.774386i \(0.281941\pi\)
\(444\) −21.1347 5.94618i −1.00301 0.282193i
\(445\) 1.77991 + 7.79830i 0.0843758 + 0.369675i
\(446\) 2.17349 + 0.821903i 0.102918 + 0.0389182i
\(447\) 2.73766 1.31839i 0.129487 0.0623576i
\(448\) 0.109841 21.1657i 0.00518950 0.999987i
\(449\) −29.1298 14.0282i −1.37472 0.662030i −0.406853 0.913494i \(-0.633374\pi\)
−0.967867 + 0.251464i \(0.919088\pi\)
\(450\) 1.49453 + 1.57096i 0.0704528 + 0.0740559i
\(451\) −2.68427 + 1.29268i −0.126397 + 0.0608698i
\(452\) 0.809449 1.48643i 0.0380733 0.0699158i
\(453\) −17.4969 3.99355i −0.822075 0.187633i
\(454\) −14.0723 + 21.2037i −0.660447 + 0.995140i
\(455\) 7.60514 + 7.13074i 0.356535 + 0.334294i
\(456\) 5.59344 + 4.12803i 0.261937 + 0.193313i
\(457\) 30.8677 14.8651i 1.44393 0.695361i 0.462402 0.886671i \(-0.346988\pi\)
0.981530 + 0.191310i \(0.0612736\pi\)
\(458\) −12.0577 1.66390i −0.563421 0.0777490i
\(459\) 0.535861i 0.0250118i
\(460\) 30.3245 5.34731i 1.41389 0.249320i
\(461\) −2.96360 0.676423i −0.138029 0.0315042i 0.152948 0.988234i \(-0.451123\pi\)
−0.290977 + 0.956730i \(0.593980\pi\)
\(462\) 0.224601 + 0.952152i 0.0104494 + 0.0442981i
\(463\) 5.19634 1.18603i 0.241494 0.0551195i −0.100060 0.994981i \(-0.531904\pi\)
0.341555 + 0.939862i \(0.389046\pi\)
\(464\) 10.5720 + 16.3680i 0.490794 + 0.759867i
\(465\) 12.4361 9.91749i 0.576712 0.459912i
\(466\) 21.2229 + 22.3083i 0.983132 + 1.03341i
\(467\) −3.54164 15.5169i −0.163887 0.718038i −0.988360 0.152135i \(-0.951385\pi\)
0.824472 0.565902i \(-0.191472\pi\)
\(468\) −2.84109 + 1.19765i −0.131330 + 0.0553615i
\(469\) −26.5711 + 10.2687i −1.22694 + 0.474166i
\(470\) −6.05967 0.836200i −0.279512 0.0385710i
\(471\) 1.14717i 0.0528589i
\(472\) 37.5608 10.0650i 1.72888 0.463277i
\(473\) −0.108038 + 0.473343i −0.00496757 + 0.0217644i
\(474\) 6.28809 + 10.5842i 0.288822 + 0.486150i
\(475\) 2.34955 + 2.94625i 0.107805 + 0.135183i
\(476\) −2.42718 + 1.46591i −0.111250 + 0.0671900i
\(477\) 2.40964 3.02159i 0.110330 0.138349i
\(478\) −33.0464 4.56022i −1.51151 0.208580i
\(479\) −11.8404 + 14.8474i −0.541002 + 0.678394i −0.974919 0.222558i \(-0.928559\pi\)
0.433918 + 0.900952i \(0.357131\pi\)
\(480\) 11.1915 + 9.15501i 0.510818 + 0.417867i
\(481\) 13.2311 10.5514i 0.603285 0.481104i
\(482\) −10.6623 + 28.1960i −0.485653 + 1.28429i
\(483\) −2.29299 15.7709i −0.104335 0.717599i
\(484\) −17.7515 + 12.7627i −0.806887 + 0.580123i
\(485\) −27.8718 13.4223i −1.26559 0.609477i
\(486\) 0.433667 + 1.34608i 0.0196716 + 0.0610594i
\(487\) −16.2267 + 33.6951i −0.735302 + 1.52687i 0.110796 + 0.993843i \(0.464660\pi\)
−0.846098 + 0.533028i \(0.821054\pi\)
\(488\) −17.6248 7.68933i −0.797837 0.348079i
\(489\) 6.30959i 0.285329i
\(490\) −24.1943 7.40902i −1.09299 0.334705i
\(491\) 1.08731i 0.0490697i −0.999699 0.0245349i \(-0.992190\pi\)
0.999699 0.0245349i \(-0.00781047\pi\)
\(492\) 20.0148 + 10.8993i 0.902339 + 0.491377i
\(493\) 1.13259 2.35186i 0.0510095 0.105922i
\(494\) −5.10029 + 1.64316i −0.229473 + 0.0739294i
\(495\) −0.602108 0.289960i −0.0270627 0.0130327i
\(496\) 17.3805 17.8200i 0.780409 0.800143i
\(497\) 9.01122 + 13.3663i 0.404208 + 0.599562i
\(498\) −3.63129 1.37317i −0.162722 0.0615330i
\(499\) 15.3032 12.2039i 0.685067 0.546323i −0.217933 0.975964i \(-0.569931\pi\)
0.903000 + 0.429641i \(0.141360\pi\)
\(500\) −10.3454 14.3893i −0.462661 0.643509i
\(501\) 10.8139 13.5602i 0.483128 0.605824i
\(502\) −0.715893 + 5.18784i −0.0319519 + 0.231545i
\(503\) −2.56071 + 3.21103i −0.114176 + 0.143173i −0.835635 0.549284i \(-0.814900\pi\)
0.721459 + 0.692457i \(0.243472\pi\)
\(504\) 4.91072 5.64666i 0.218741 0.251522i
\(505\) 0.533712 + 0.669254i 0.0237499 + 0.0297814i
\(506\) −1.91480 + 1.13758i −0.0851231 + 0.0505717i
\(507\) −2.36394 + 10.3571i −0.104986 + 0.459975i
\(508\) 2.97001 + 16.8428i 0.131773 + 0.747280i
\(509\) 4.73908i 0.210056i −0.994469 0.105028i \(-0.966507\pi\)
0.994469 0.105028i \(-0.0334932\pi\)
\(510\) 0.264787 1.91882i 0.0117249 0.0849668i
\(511\) 6.49619 + 3.79591i 0.287375 + 0.167921i
\(512\) 19.1597 + 12.0377i 0.846746 + 0.531997i
\(513\) 0.546917 + 2.39620i 0.0241470 + 0.105795i
\(514\) −10.9835 + 10.4491i −0.484461 + 0.460890i
\(515\) −6.99626 + 5.57933i −0.308292 + 0.245855i
\(516\) 3.42228 1.44265i 0.150657 0.0635091i
\(517\) 0.431360 0.0984550i 0.0189712 0.00433005i
\(518\) −17.5527 + 37.1352i −0.771220 + 1.63163i
\(519\) 10.7372 + 2.45069i 0.471309 + 0.107573i
\(520\) −10.7653 + 2.88470i −0.472088 + 0.126503i
\(521\) 12.7441i 0.558328i 0.960243 + 0.279164i \(0.0900573\pi\)
−0.960243 + 0.279164i \(0.909943\pi\)
\(522\) −0.941737 + 6.82446i −0.0412187 + 0.298698i
\(523\) 0.694455 0.334432i 0.0303664 0.0146237i −0.418639 0.908153i \(-0.637493\pi\)
0.449005 + 0.893529i \(0.351778\pi\)
\(524\) −32.0416 28.2764i −1.39975 1.23526i
\(525\) 3.36354 2.26760i 0.146797 0.0989664i
\(526\) 22.6087 + 15.0048i 0.985787 + 0.654240i
\(527\) −3.25112 0.742047i −0.141621 0.0323241i
\(528\) −0.991376 0.333064i −0.0431441 0.0144948i
\(529\) 11.9672 5.76308i 0.520311 0.250569i
\(530\) 10.1215 9.62909i 0.439652 0.418261i
\(531\) 12.3868 + 5.96515i 0.537539 + 0.258865i
\(532\) 9.35743 9.03236i 0.405696 0.391603i
\(533\) −15.8270 + 7.62189i −0.685544 + 0.330141i
\(534\) −1.56537 + 4.13958i −0.0677403 + 0.179137i
\(535\) −0.0843781 0.369685i −0.00364799 0.0159829i
\(536\) 5.66118 29.9223i 0.244526 1.29245i
\(537\) −8.03116 6.40463i −0.346570 0.276380i
\(538\) 2.90679 + 33.2230i 0.125321 + 1.43235i
\(539\) 1.82641 0.117720i 0.0786691 0.00507054i
\(540\) 0.887742 + 5.03436i 0.0382023 + 0.216644i
\(541\) −0.0945868 + 0.118608i −0.00406661 + 0.00509936i −0.783861 0.620937i \(-0.786752\pi\)
0.779794 + 0.626036i \(0.215324\pi\)
\(542\) 18.3512 + 6.93948i 0.788253 + 0.298076i
\(543\) −21.9864 + 5.01825i −0.943526 + 0.215354i
\(544\) 0.0377185 3.03105i 0.00161717 0.129955i
\(545\) 12.6303 + 26.2271i 0.541022 + 1.12344i
\(546\) 1.32429 + 5.61408i 0.0566746 + 0.240261i
\(547\) −15.5231 + 32.2341i −0.663721 + 1.37823i 0.248540 + 0.968622i \(0.420049\pi\)
−0.912261 + 0.409609i \(0.865665\pi\)
\(548\) 20.7924 + 18.3490i 0.888206 + 0.783832i
\(549\) −2.94977 6.12526i −0.125893 0.261420i
\(550\) −0.472357 0.313491i −0.0201414 0.0133673i
\(551\) −2.66422 + 11.6727i −0.113500 + 0.497275i
\(552\) 15.6156 + 6.81275i 0.664644 + 0.289970i
\(553\) 21.4837 8.30262i 0.913578 0.353063i
\(554\) −7.07654 7.43846i −0.300654 0.316030i
\(555\) −12.1744 25.2803i −0.516773 1.07309i
\(556\) 0.692945 13.8871i 0.0293874 0.588943i
\(557\) 19.6376 0.832073 0.416037 0.909348i \(-0.363419\pi\)
0.416037 + 0.909348i \(0.363419\pi\)
\(558\) 8.76734 0.767084i 0.371151 0.0324732i
\(559\) −0.637011 + 2.79093i −0.0269427 + 0.118044i
\(560\) 20.3746 17.7931i 0.860985 0.751898i
\(561\) 0.0311762 + 0.136592i 0.00131626 + 0.00576692i
\(562\) −8.17975 25.3895i −0.345042 1.07099i
\(563\) −14.0897 17.6680i −0.593812 0.744617i 0.390587 0.920566i \(-0.372272\pi\)
−0.984399 + 0.175949i \(0.943701\pi\)
\(564\) −2.53766 2.23946i −0.106855 0.0942983i
\(565\) 2.10884 0.481330i 0.0887197 0.0202497i
\(566\) −12.2438 38.0041i −0.514645 1.59743i
\(567\) 2.61822 0.380674i 0.109955 0.0159868i
\(568\) −17.2212 + 0.644611i −0.722584 + 0.0270473i
\(569\) 21.9573 0.920500 0.460250 0.887789i \(-0.347760\pi\)
0.460250 + 0.887789i \(0.347760\pi\)
\(570\) 0.774370 + 8.85062i 0.0324348 + 0.370712i
\(571\) 25.3210 + 5.77935i 1.05965 + 0.241858i 0.716618 0.697466i \(-0.245689\pi\)
0.343032 + 0.939324i \(0.388546\pi\)
\(572\) 0.654522 0.470578i 0.0273669 0.0196759i
\(573\) −17.8894 + 14.2663i −0.747342 + 0.595985i
\(574\) 26.3408 33.5264i 1.09944 1.39936i
\(575\) 7.22050 + 5.75816i 0.301116 + 0.240132i
\(576\) 2.35825 + 7.64452i 0.0982606 + 0.318522i
\(577\) 0.231131 + 0.184321i 0.00962210 + 0.00767337i 0.628289 0.777980i \(-0.283756\pi\)
−0.618667 + 0.785653i \(0.712327\pi\)
\(578\) 20.3200 12.0721i 0.845201 0.502134i
\(579\) 8.43766 + 10.5805i 0.350657 + 0.439710i
\(580\) −6.74438 + 23.9718i −0.280045 + 0.995375i
\(581\) −3.66428 + 6.27093i −0.152020 + 0.260162i
\(582\) −8.74227 14.7151i −0.362379 0.609962i
\(583\) −0.438426 + 0.910401i −0.0181578 + 0.0377050i
\(584\) −7.11125 + 3.75853i −0.294266 + 0.155529i
\(585\) −3.55015 1.70966i −0.146781 0.0706858i
\(586\) 25.0436 + 16.6208i 1.03454 + 0.686597i
\(587\) −45.1111 −1.86193 −0.930966 0.365105i \(-0.881033\pi\)
−0.930966 + 0.365105i \(0.881033\pi\)
\(588\) −8.88673 10.8179i −0.366483 0.446121i
\(589\) 15.2953 0.630234
\(590\) 41.4072 + 27.4808i 1.70471 + 1.13137i
\(591\) 0.521521 + 0.251151i 0.0214525 + 0.0103310i
\(592\) −23.8242 36.8856i −0.979168 1.51599i
\(593\) 13.4852 28.0024i 0.553772 1.14992i −0.416776 0.909009i \(-0.636840\pi\)
0.970548 0.240910i \(-0.0774457\pi\)
\(594\) −0.188857 0.317888i −0.00774891 0.0130431i
\(595\) −3.45719 1.08619i −0.141731 0.0445293i
\(596\) 5.85002 + 1.64588i 0.239626 + 0.0674180i
\(597\) −2.08320 2.61225i −0.0852596 0.106912i
\(598\) −11.2900 + 6.70741i −0.461684 + 0.274287i
\(599\) −33.5796 26.7788i −1.37202 1.09415i −0.985089 0.172047i \(-0.944962\pi\)
−0.386936 0.922106i \(-0.626467\pi\)
\(600\) 0.162211 + 4.33357i 0.00662226 + 0.176917i
\(601\) −8.21906 6.55448i −0.335262 0.267363i 0.441359 0.897331i \(-0.354497\pi\)
−0.776621 + 0.629968i \(0.783068\pi\)
\(602\) −1.59520 6.76252i −0.0650154 0.275620i
\(603\) 8.41784 6.71300i 0.342801 0.273375i
\(604\) −20.9530 29.1432i −0.852564 1.18582i
\(605\) −27.2409 6.21756i −1.10750 0.252780i
\(606\) 0.0412808 + 0.471816i 0.00167692 + 0.0191662i
\(607\) −18.6021 −0.755035 −0.377518 0.926002i \(-0.623222\pi\)
−0.377518 + 0.926002i \(0.623222\pi\)
\(608\) 2.92493 + 13.5924i 0.118621 + 0.551245i
\(609\) 12.2958 + 3.86312i 0.498251 + 0.156542i
\(610\) −7.53590 23.3910i −0.305120 0.947075i
\(611\) 2.54338 0.580511i 0.102894 0.0234850i
\(612\) 0.709135 0.803563i 0.0286651 0.0324821i
\(613\) 23.9542 + 30.0376i 0.967501 + 1.21321i 0.976997 + 0.213253i \(0.0684059\pi\)
−0.00949587 + 0.999955i \(0.503023\pi\)
\(614\) 12.2293 + 37.9591i 0.493535 + 1.53191i
\(615\) 6.48113 + 28.3957i 0.261344 + 1.14502i
\(616\) −0.923231 + 1.72505i −0.0371980 + 0.0695043i
\(617\) 3.84706 16.8551i 0.154877 0.678560i −0.836549 0.547892i \(-0.815431\pi\)
0.991426 0.130668i \(-0.0417124\pi\)
\(618\) −4.93228 + 0.431542i −0.198405 + 0.0173592i
\(619\) 6.73659 0.270767 0.135383 0.990793i \(-0.456773\pi\)
0.135383 + 0.990793i \(0.456773\pi\)
\(620\) 31.7733 + 1.58544i 1.27605 + 0.0636729i
\(621\) 2.61350 + 5.42699i 0.104876 + 0.217777i
\(622\) 18.8535 + 19.8177i 0.755955 + 0.794617i
\(623\) 7.14870 + 4.17718i 0.286407 + 0.167355i
\(624\) −5.84536 1.96381i −0.234002 0.0786155i
\(625\) 6.74580 29.5553i 0.269832 1.18221i
\(626\) 12.1494 + 8.06320i 0.485586 + 0.322270i
\(627\) −0.278821 0.578977i −0.0111350 0.0231221i
\(628\) 1.51812 1.72027i 0.0605796 0.0686463i
\(629\) −2.55231 + 5.29994i −0.101767 + 0.211322i
\(630\) 9.56349 0.0693734i 0.381018 0.00276390i
\(631\) −13.8621 28.7850i −0.551842 1.14591i −0.971239 0.238108i \(-0.923473\pi\)
0.419397 0.907803i \(-0.362241\pi\)
\(632\) −4.57726 + 24.1932i −0.182074 + 0.962355i
\(633\) −25.6107 + 5.84546i −1.01793 + 0.232336i
\(634\) 5.06967 + 1.91709i 0.201342 + 0.0761372i
\(635\) −13.6279 + 17.0888i −0.540805 + 0.678148i
\(636\) 7.61207 1.34229i 0.301838 0.0532251i
\(637\) 10.7689 0.694098i 0.426679 0.0275012i
\(638\) −0.156994 1.79436i −0.00621547 0.0710393i
\(639\) −4.76359 3.79884i −0.188445 0.150280i
\(640\) 4.66708 + 28.5389i 0.184482 + 1.12810i
\(641\) 6.65832 + 29.1720i 0.262988 + 1.15223i 0.917992 + 0.396600i \(0.129810\pi\)
−0.655004 + 0.755626i \(0.727333\pi\)
\(642\) 0.0742079 0.196240i 0.00292875 0.00774498i
\(643\) 22.1651 10.6742i 0.874108 0.420948i 0.0576388 0.998337i \(-0.481643\pi\)
0.816469 + 0.577389i \(0.195929\pi\)
\(644\) 17.4320 26.6840i 0.686916 1.05150i
\(645\) 4.27638 + 2.05940i 0.168382 + 0.0810887i
\(646\) 1.34947 1.28381i 0.0530942 0.0505109i
\(647\) 15.5237 7.47580i 0.610298 0.293904i −0.103091 0.994672i \(-0.532873\pi\)
0.713389 + 0.700768i \(0.247159\pi\)
\(648\) −1.13103 + 2.59245i −0.0444310 + 0.101841i
\(649\) −3.50446 0.799870i −0.137562 0.0313976i
\(650\) −2.78511 1.84840i −0.109241 0.0725004i
\(651\) 1.31607 16.4122i 0.0515807 0.643243i
\(652\) 8.34984 9.46170i 0.327005 0.370549i
\(653\) 6.24790 3.00883i 0.244499 0.117745i −0.307622 0.951509i \(-0.599533\pi\)
0.552121 + 0.833764i \(0.313819\pi\)
\(654\) −2.20169 + 15.9549i −0.0860930 + 0.623888i
\(655\) 54.6148i 2.13398i
\(656\) 15.5901 + 42.8311i 0.608693 + 1.67227i
\(657\) −2.77248 0.632800i −0.108165 0.0246879i
\(658\) −4.92167 + 3.98365i −0.191867 + 0.155299i
\(659\) 6.25132 1.42682i 0.243517 0.0555811i −0.0990204 0.995085i \(-0.531571\pi\)
0.342537 + 0.939504i \(0.388714\pi\)
\(660\) −0.519185 1.23162i −0.0202093 0.0479408i
\(661\) 4.33590 3.45777i 0.168647 0.134492i −0.535529 0.844517i \(-0.679888\pi\)
0.704176 + 0.710025i \(0.251316\pi\)
\(662\) 17.2284 16.3901i 0.669600 0.637021i
\(663\) 0.183821 + 0.805374i 0.00713903 + 0.0312781i
\(664\) −3.62820 6.86466i −0.140801 0.266400i
\(665\) 16.5681 + 1.32857i 0.642482 + 0.0515196i
\(666\) 2.12221 15.3790i 0.0822341 0.595924i
\(667\) 29.3426i 1.13615i
\(668\) 34.1612 6.02387i 1.32174 0.233070i
\(669\) −0.365626 + 1.60191i −0.0141359 + 0.0619335i
\(670\) 33.4599 19.8785i 1.29267 0.767975i
\(671\) 1.10827 + 1.38972i 0.0427842 + 0.0536497i
\(672\) 14.8365 1.96896i 0.572332 0.0759541i
\(673\) −11.5428 + 14.4742i −0.444940 + 0.557938i −0.952838 0.303480i \(-0.901851\pi\)
0.507897 + 0.861418i \(0.330423\pi\)
\(674\) 5.70057 41.3101i 0.219578 1.59121i
\(675\) −0.955949 + 1.19872i −0.0367945 + 0.0461388i
\(676\) −17.2511 + 12.4029i −0.663502 + 0.477035i
\(677\) −12.3395 + 9.84041i −0.474245 + 0.378198i −0.831245 0.555907i \(-0.812371\pi\)
0.357000 + 0.934104i \(0.383800\pi\)
\(678\) 1.11944 + 0.423314i 0.0429918 + 0.0162573i
\(679\) −29.8685 + 11.5430i −1.14625 + 0.442981i
\(680\) 2.93635 2.52701i 0.112604 0.0969063i
\(681\) −16.2128 7.80767i −0.621275 0.299190i
\(682\) −2.19018 + 0.705612i −0.0838664 + 0.0270193i
\(683\) −12.8997 + 26.7866i −0.493594 + 1.02496i 0.494222 + 0.869336i \(0.335453\pi\)
−0.987816 + 0.155624i \(0.950261\pi\)
\(684\) −2.35089 + 4.31705i −0.0898885 + 0.165067i
\(685\) 35.4405i 1.35411i
\(686\) −22.7241 + 13.0236i −0.867612 + 0.497243i
\(687\) 8.60691i 0.328374i
\(688\) 7.04111 + 2.36554i 0.268440 + 0.0901854i
\(689\) −2.58505 + 5.36791i −0.0984825 + 0.204501i
\(690\) 6.67682 + 20.7245i 0.254182 + 0.788967i
\(691\) −22.3823 10.7787i −0.851462 0.410043i −0.0433421 0.999060i \(-0.513801\pi\)
−0.808120 + 0.589018i \(0.799515\pi\)
\(692\) 12.8580 + 17.8841i 0.488789 + 0.679851i
\(693\) −0.645243 + 0.249362i −0.0245107 + 0.00947248i
\(694\) −9.50605 + 25.1384i −0.360845 + 0.954242i
\(695\) 13.8930 11.0793i 0.526993 0.420263i
\(696\) −10.4434 + 8.98753i −0.395856 + 0.340671i
\(697\) 3.80713 4.77398i 0.144205 0.180828i
\(698\) −8.90262 1.22851i −0.336969 0.0464999i
\(699\) −13.5748 + 17.0223i −0.513448 + 0.643843i
\(700\) 8.04473 + 1.05072i 0.304062 + 0.0397135i
\(701\) −7.59081 9.51858i −0.286701 0.359512i 0.617536 0.786543i \(-0.288131\pi\)
−0.904237 + 0.427031i \(0.859560\pi\)
\(702\) −1.11354 1.87433i −0.0420279 0.0707421i
\(703\) 6.00386 26.3046i 0.226440 0.992098i
\(704\) −1.04588 1.81140i −0.0394181 0.0682697i
\(705\) 4.32544i 0.162905i
\(706\) −29.7312 4.10274i −1.11895 0.154409i
\(707\) 0.883224 + 0.0708244i 0.0332171 + 0.00266363i
\(708\) 10.6808 + 25.3373i 0.401411 + 0.952234i
\(709\) 7.52757 + 32.9804i 0.282704 + 1.23861i 0.894311 + 0.447445i \(0.147666\pi\)
−0.611608 + 0.791161i \(0.709477\pi\)
\(710\) −15.1804 15.9568i −0.569712 0.598848i
\(711\) −6.80611 + 5.42769i −0.255249 + 0.203554i
\(712\) −7.82554 + 4.13606i −0.293274 + 0.155005i
\(713\) 36.5452 8.34120i 1.36863 0.312380i
\(714\) −1.26144 1.55847i −0.0472082 0.0583242i
\(715\) 1.00441 + 0.229250i 0.0375627 + 0.00857345i
\(716\) −3.56770 20.2323i −0.133331 0.756117i
\(717\) 23.5888i 0.880939i
\(718\) 5.36859 + 0.740835i 0.200354 + 0.0276477i
\(719\) 37.1952 17.9123i 1.38715 0.668015i 0.416637 0.909073i \(-0.363208\pi\)
0.970511 + 0.241057i \(0.0774942\pi\)
\(720\) −5.33103 + 8.72420i −0.198676 + 0.325132i
\(721\) −0.740386 + 9.23307i −0.0275734 + 0.343857i
\(722\) 10.1343 15.2700i 0.377159 0.568290i
\(723\) −20.7811 4.74314i −0.772856 0.176399i
\(724\) −39.6112 21.5706i −1.47214 0.801666i
\(725\) −6.72921 + 3.24062i −0.249917 + 0.120354i
\(726\) −10.6558 11.2007i −0.395472 0.415698i
\(727\) −15.4130 7.42252i −0.571638 0.275286i 0.125654 0.992074i \(-0.459897\pi\)
−0.697291 + 0.716788i \(0.745612\pi\)
\(728\) −5.44356 + 10.1713i −0.201752 + 0.376972i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −9.61505 3.63591i −0.355869 0.134571i
\(731\) −0.221425 0.970124i −0.00818968 0.0358813i
\(732\) 3.68251 13.0889i 0.136109 0.483779i
\(733\) −35.6874 28.4598i −1.31814 1.05119i −0.994471 0.105016i \(-0.966511\pi\)
−0.323674 0.946169i \(-0.604918\pi\)
\(734\) 37.7377 3.30180i 1.39292 0.121872i
\(735\) 2.85115 17.6635i 0.105166 0.651528i
\(736\) 14.4010 + 30.8812i 0.530829 + 1.13830i
\(737\) −1.75516 + 2.20091i −0.0646523 + 0.0810714i
\(738\) −5.69994 + 15.0733i −0.209818 + 0.554856i
\(739\) −2.89534 + 0.660842i −0.106507 + 0.0243095i −0.275442 0.961318i \(-0.588824\pi\)
0.168935 + 0.985627i \(0.445967\pi\)
\(740\) 15.1985 54.0207i 0.558709 1.98584i
\(741\) −1.64398 3.41377i −0.0603932 0.125408i
\(742\) −0.104894 14.4602i −0.00385079 0.530851i
\(743\) −17.6616 + 36.6747i −0.647942 + 1.34546i 0.275342 + 0.961346i \(0.411209\pi\)
−0.923284 + 0.384119i \(0.874505\pi\)
\(744\) 14.1624 + 10.4520i 0.519219 + 0.383190i
\(745\) 3.36982 + 6.99750i 0.123461 + 0.256369i
\(746\) −5.63053 + 8.48389i −0.206148 + 0.310617i
\(747\) 0.610856 2.67634i 0.0223501 0.0979220i
\(748\) −0.134009 + 0.246087i −0.00489985 + 0.00899784i
\(749\) −0.338890 0.198023i −0.0123828 0.00723560i
\(750\) 9.07926 8.63751i 0.331528 0.315397i
\(751\) −17.8751 37.1181i −0.652273 1.35446i −0.920363 0.391065i \(-0.872107\pi\)
0.268090 0.963394i \(-0.413608\pi\)
\(752\) −0.841811 6.71648i −0.0306977 0.244925i
\(753\) −3.70312 −0.134949
\(754\) −0.925671 10.5799i −0.0337109 0.385297i
\(755\) 10.2076 44.7223i 0.371492 1.62761i
\(756\) 4.42999 + 2.89400i 0.161117 + 0.105254i
\(757\) −8.36983 36.6706i −0.304207 1.33282i −0.863711 0.503988i \(-0.831865\pi\)
0.559504 0.828828i \(-0.310992\pi\)
\(758\) 27.9532 9.00571i 1.01531 0.327102i
\(759\) −0.981926 1.23130i −0.0356417 0.0446932i
\(760\) −10.5513 + 14.2969i −0.382736 + 0.518604i
\(761\) −36.7334 + 8.38415i −1.33158 + 0.303925i −0.828343 0.560221i \(-0.810716\pi\)
−0.503240 + 0.864146i \(0.667859\pi\)
\(762\) −11.5108 + 3.70844i −0.416992 + 0.134343i
\(763\) 28.7464 + 9.03162i 1.04069 + 0.326966i
\(764\) −45.7060 2.28067i −1.65359 0.0825116i
\(765\) 1.36967 0.0495205
\(766\) 30.1687 2.63956i 1.09004 0.0953711i
\(767\) −20.6630 4.71620i −0.746098 0.170292i
\(768\) −6.58005 + 14.5843i −0.237437 + 0.526267i
\(769\) 37.1242 29.6056i 1.33873 1.06760i 0.347194 0.937793i \(-0.387135\pi\)
0.991539 0.129810i \(-0.0414368\pi\)
\(770\) −2.43372 + 0.574085i −0.0877050 + 0.0206886i
\(771\) −8.38094 6.68357i −0.301832