Properties

Label 441.2.z.a.4.18
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.18
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0832951 + 1.11150i) q^{2} +(-0.959106 + 1.44226i) q^{3} +(0.749175 + 0.112920i) q^{4} +(0.757564 - 3.31911i) q^{5} +(-1.52318 - 1.18618i) q^{6} +(-1.18524 - 2.36542i) q^{7} +(-0.683962 + 2.99663i) q^{8} +(-1.16023 - 2.76656i) q^{9} +O(q^{10})\) \(q+(-0.0832951 + 1.11150i) q^{2} +(-0.959106 + 1.44226i) q^{3} +(0.749175 + 0.112920i) q^{4} +(0.757564 - 3.31911i) q^{5} +(-1.52318 - 1.18618i) q^{6} +(-1.18524 - 2.36542i) q^{7} +(-0.683962 + 2.99663i) q^{8} +(-1.16023 - 2.76656i) q^{9} +(3.62607 + 1.11850i) q^{10} +(3.12006 - 1.50254i) q^{11} +(-0.881398 + 0.972204i) q^{12} +(0.357646 - 4.77245i) q^{13} +(2.72788 - 1.12036i) q^{14} +(4.06043 + 4.27598i) q^{15} +(-1.82582 - 0.563192i) q^{16} +(3.97020 - 0.598412i) q^{17} +(3.17166 - 1.05915i) q^{18} +(-2.15962 - 3.74057i) q^{19} +(0.942342 - 2.40105i) q^{20} +(4.54832 + 0.559260i) q^{21} +(1.41018 + 3.59309i) q^{22} +(-4.61972 + 5.79294i) q^{23} +(-3.66594 - 3.86054i) q^{24} +(-5.93772 - 2.85945i) q^{25} +(5.27478 + 0.795045i) q^{26} +(5.10289 + 0.980066i) q^{27} +(-0.620850 - 1.90595i) q^{28} +(0.595483 - 1.51727i) q^{29} +(-5.09095 + 4.15699i) q^{30} +(2.25870 + 3.91218i) q^{31} +(-1.46783 + 3.73997i) q^{32} +(-0.825409 + 5.94103i) q^{33} +(0.334434 + 4.46271i) q^{34} +(-8.74897 + 2.14198i) q^{35} +(-0.556818 - 2.20365i) q^{36} +(2.43477 - 6.20370i) q^{37} +(4.33751 - 2.08884i) q^{38} +(6.54010 + 5.09311i) q^{39} +(9.42800 + 4.54029i) q^{40} +(-1.11546 - 1.03499i) q^{41} +(-1.00047 + 5.00886i) q^{42} +(-1.06162 + 0.985037i) q^{43} +(2.50714 - 0.773349i) q^{44} +(-10.0615 + 1.75509i) q^{45} +(-6.05404 - 5.61732i) q^{46} +(-0.818159 + 10.9176i) q^{47} +(2.56343 - 2.09315i) q^{48} +(-4.19041 + 5.60718i) q^{49} +(3.67286 - 6.36157i) q^{50} +(-2.94478 + 6.30001i) q^{51} +(0.806845 - 3.53502i) q^{52} +(4.47804 + 11.4099i) q^{53} +(-1.51439 + 5.59021i) q^{54} +(-2.62345 - 11.4941i) q^{55} +(7.89896 - 1.93388i) q^{56} +(7.46618 + 0.472868i) q^{57} +(1.63684 + 0.788259i) q^{58} +(6.02383 - 5.58930i) q^{59} +(2.55913 + 3.66196i) q^{60} +(8.57466 - 1.29242i) q^{61} +(-4.53651 + 2.18467i) q^{62} +(-5.16892 + 6.02348i) q^{63} +(-7.47768 - 3.60106i) q^{64} +(-15.5693 - 4.80251i) q^{65} +(-6.53468 - 1.41230i) q^{66} +(-2.29328 - 3.97207i) q^{67} +3.04195 q^{68} +(-3.92414 - 12.2189i) q^{69} +(-1.65206 - 9.90287i) q^{70} +(-1.29003 + 1.61765i) q^{71} +(9.08393 - 1.58457i) q^{72} +(-5.06267 + 3.45167i) q^{73} +(6.69259 + 3.22298i) q^{74} +(9.81898 - 5.82122i) q^{75} +(-1.19555 - 3.04621i) q^{76} +(-7.25215 - 5.59937i) q^{77} +(-6.20573 + 6.84507i) q^{78} +(4.60770 - 7.98078i) q^{79} +(-3.25247 + 5.63345i) q^{80} +(-6.30772 + 6.41971i) q^{81} +(1.24330 - 1.15362i) q^{82} +(-0.641104 - 8.55494i) q^{83} +(3.34434 + 0.932580i) q^{84} +(1.02149 - 13.6309i) q^{85} +(-1.00644 - 1.26203i) q^{86} +(1.61716 + 2.31406i) q^{87} +(2.36856 + 10.3774i) q^{88} +(-0.582823 - 7.77723i) q^{89} +(-1.11270 - 11.3295i) q^{90} +(-11.7127 + 4.81052i) q^{91} +(-4.11512 + 3.81827i) q^{92} +(-7.80871 - 0.494562i) q^{93} +(-12.0667 - 1.81876i) q^{94} +(-14.0514 + 4.33428i) q^{95} +(-3.98620 - 5.70402i) q^{96} +(-3.17895 - 5.50610i) q^{97} +(-5.88332 - 5.12468i) q^{98} +(-7.77686 - 6.88853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0832951 + 1.11150i −0.0588986 + 0.785947i 0.887059 + 0.461656i \(0.152745\pi\)
−0.945958 + 0.324291i \(0.894874\pi\)
\(3\) −0.959106 + 1.44226i −0.553740 + 0.832690i
\(4\) 0.749175 + 0.112920i 0.374588 + 0.0564600i
\(5\) 0.757564 3.31911i 0.338793 1.48435i −0.462791 0.886467i \(-0.653152\pi\)
0.801584 0.597882i \(-0.203991\pi\)
\(6\) −1.52318 1.18618i −0.621835 0.484254i
\(7\) −1.18524 2.36542i −0.447979 0.894044i
\(8\) −0.683962 + 2.99663i −0.241817 + 1.05947i
\(9\) −1.16023 2.76656i −0.386744 0.922187i
\(10\) 3.62607 + 1.11850i 1.14667 + 0.353699i
\(11\) 3.12006 1.50254i 0.940733 0.453033i 0.100305 0.994957i \(-0.468018\pi\)
0.840428 + 0.541924i \(0.182304\pi\)
\(12\) −0.881398 + 0.972204i −0.254438 + 0.280651i
\(13\) 0.357646 4.77245i 0.0991932 1.32364i −0.696332 0.717720i \(-0.745186\pi\)
0.795525 0.605921i \(-0.207195\pi\)
\(14\) 2.72788 1.12036i 0.729056 0.299430i
\(15\) 4.06043 + 4.27598i 1.04840 + 1.10405i
\(16\) −1.82582 0.563192i −0.456456 0.140798i
\(17\) 3.97020 0.598412i 0.962915 0.145136i 0.351275 0.936272i \(-0.385748\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(18\) 3.17166 1.05915i 0.747569 0.249645i
\(19\) −2.15962 3.74057i −0.495450 0.858145i 0.504536 0.863391i \(-0.331664\pi\)
−0.999986 + 0.00524540i \(0.998330\pi\)
\(20\) 0.942342 2.40105i 0.210714 0.536891i
\(21\) 4.54832 + 0.559260i 0.992525 + 0.122041i
\(22\) 1.41018 + 3.59309i 0.300652 + 0.766049i
\(23\) −4.61972 + 5.79294i −0.963278 + 1.20791i 0.0148462 + 0.999890i \(0.495274\pi\)
−0.978124 + 0.208022i \(0.933297\pi\)
\(24\) −3.66594 3.86054i −0.748306 0.788030i
\(25\) −5.93772 2.85945i −1.18754 0.571891i
\(26\) 5.27478 + 0.795045i 1.03447 + 0.155921i
\(27\) 5.10289 + 0.980066i 0.982051 + 0.188614i
\(28\) −0.620850 1.90595i −0.117330 0.360191i
\(29\) 0.595483 1.51727i 0.110578 0.281749i −0.864863 0.502008i \(-0.832595\pi\)
0.975442 + 0.220258i \(0.0706901\pi\)
\(30\) −5.09095 + 4.15699i −0.929476 + 0.758959i
\(31\) 2.25870 + 3.91218i 0.405674 + 0.702648i 0.994400 0.105685i \(-0.0337035\pi\)
−0.588726 + 0.808333i \(0.700370\pi\)
\(32\) −1.46783 + 3.73997i −0.259478 + 0.661139i
\(33\) −0.825409 + 5.94103i −0.143685 + 1.03420i
\(34\) 0.334434 + 4.46271i 0.0573549 + 0.765348i
\(35\) −8.74897 + 2.14198i −1.47885 + 0.362061i
\(36\) −0.556818 2.20365i −0.0928029 0.367275i
\(37\) 2.43477 6.20370i 0.400274 1.01988i −0.578635 0.815587i \(-0.696414\pi\)
0.978909 0.204296i \(-0.0654904\pi\)
\(38\) 4.33751 2.08884i 0.703638 0.338854i
\(39\) 6.54010 + 5.09311i 1.04725 + 0.815550i
\(40\) 9.42800 + 4.54029i 1.49070 + 0.717882i
\(41\) −1.11546 1.03499i −0.174205 0.161639i 0.588252 0.808678i \(-0.299817\pi\)
−0.762457 + 0.647039i \(0.776007\pi\)
\(42\) −1.00047 + 5.00886i −0.154376 + 0.772884i
\(43\) −1.06162 + 0.985037i −0.161895 + 0.150217i −0.756961 0.653460i \(-0.773317\pi\)
0.595066 + 0.803677i \(0.297126\pi\)
\(44\) 2.50714 0.773349i 0.377965 0.116587i
\(45\) −10.0615 + 1.75509i −1.49987 + 0.261633i
\(46\) −6.05404 5.61732i −0.892619 0.828229i
\(47\) −0.818159 + 10.9176i −0.119341 + 1.59249i 0.540670 + 0.841235i \(0.318171\pi\)
−0.660010 + 0.751257i \(0.729448\pi\)
\(48\) 2.56343 2.09315i 0.369999 0.302121i
\(49\) −4.19041 + 5.60718i −0.598630 + 0.801026i
\(50\) 3.67286 6.36157i 0.519420 0.899662i
\(51\) −2.94478 + 6.30001i −0.412351 + 0.882177i
\(52\) 0.806845 3.53502i 0.111889 0.490219i
\(53\) 4.47804 + 11.4099i 0.615106 + 1.56726i 0.809993 + 0.586439i \(0.199471\pi\)
−0.194887 + 0.980826i \(0.562434\pi\)
\(54\) −1.51439 + 5.59021i −0.206082 + 0.760731i
\(55\) −2.62345 11.4941i −0.353745 1.54986i
\(56\) 7.89896 1.93388i 1.05554 0.258425i
\(57\) 7.46618 + 0.472868i 0.988920 + 0.0626329i
\(58\) 1.63684 + 0.788259i 0.214927 + 0.103503i
\(59\) 6.02383 5.58930i 0.784236 0.727665i −0.182565 0.983194i \(-0.558440\pi\)
0.966801 + 0.255529i \(0.0822497\pi\)
\(60\) 2.55913 + 3.66196i 0.330383 + 0.472757i
\(61\) 8.57466 1.29242i 1.09787 0.165478i 0.424969 0.905208i \(-0.360285\pi\)
0.672903 + 0.739730i \(0.265047\pi\)
\(62\) −4.53651 + 2.18467i −0.576138 + 0.277453i
\(63\) −5.16892 + 6.02348i −0.651223 + 0.758887i
\(64\) −7.47768 3.60106i −0.934710 0.450133i
\(65\) −15.5693 4.80251i −1.93114 0.595678i
\(66\) −6.53468 1.41230i −0.804364 0.173842i
\(67\) −2.29328 3.97207i −0.280168 0.485266i 0.691258 0.722608i \(-0.257057\pi\)
−0.971426 + 0.237342i \(0.923724\pi\)
\(68\) 3.04195 0.368891
\(69\) −3.92414 12.2189i −0.472411 1.47098i
\(70\) −1.65206 9.90287i −0.197459 1.18362i
\(71\) −1.29003 + 1.61765i −0.153099 + 0.191980i −0.852466 0.522783i \(-0.824894\pi\)
0.699367 + 0.714763i \(0.253465\pi\)
\(72\) 9.08393 1.58457i 1.07055 0.186743i
\(73\) −5.06267 + 3.45167i −0.592541 + 0.403987i −0.822130 0.569300i \(-0.807214\pi\)
0.229589 + 0.973288i \(0.426262\pi\)
\(74\) 6.69259 + 3.22298i 0.777998 + 0.374664i
\(75\) 9.81898 5.82122i 1.13380 0.672176i
\(76\) −1.19555 3.04621i −0.137139 0.349424i
\(77\) −7.25215 5.59937i −0.826460 0.638107i
\(78\) −6.20573 + 6.84507i −0.702660 + 0.775052i
\(79\) 4.60770 7.98078i 0.518407 0.897907i −0.481364 0.876521i \(-0.659859\pi\)
0.999771 0.0213868i \(-0.00680814\pi\)
\(80\) −3.25247 + 5.63345i −0.363637 + 0.629838i
\(81\) −6.30772 + 6.41971i −0.700858 + 0.713301i
\(82\) 1.24330 1.15362i 0.137300 0.127396i
\(83\) −0.641104 8.55494i −0.0703703 0.939027i −0.914942 0.403585i \(-0.867764\pi\)
0.844572 0.535442i \(-0.179855\pi\)
\(84\) 3.34434 + 0.932580i 0.364897 + 0.101753i
\(85\) 1.02149 13.6309i 0.110796 1.47847i
\(86\) −1.00644 1.26203i −0.108527 0.136088i
\(87\) 1.61716 + 2.31406i 0.173378 + 0.248093i
\(88\) 2.36856 + 10.3774i 0.252490 + 1.10623i
\(89\) −0.582823 7.77723i −0.0617791 0.824385i −0.938916 0.344145i \(-0.888169\pi\)
0.877137 0.480240i \(-0.159450\pi\)
\(90\) −1.11270 11.3295i −0.117289 1.19423i
\(91\) −11.7127 + 4.81052i −1.22783 + 0.504280i
\(92\) −4.11512 + 3.81827i −0.429031 + 0.398082i
\(93\) −7.80871 0.494562i −0.809726 0.0512837i
\(94\) −12.0667 1.81876i −1.24458 0.187591i
\(95\) −14.0514 + 4.33428i −1.44164 + 0.444688i
\(96\) −3.98620 5.70402i −0.406840 0.582164i
\(97\) −3.17895 5.50610i −0.322773 0.559060i 0.658286 0.752768i \(-0.271282\pi\)
−0.981059 + 0.193708i \(0.937949\pi\)
\(98\) −5.88332 5.12468i −0.594305 0.517670i
\(99\) −7.77686 6.88853i −0.781604 0.692323i
\(100\) −4.12550 2.81272i −0.412550 0.281272i
\(101\) −0.688528 + 3.01664i −0.0685111 + 0.300167i −0.997562 0.0697852i \(-0.977769\pi\)
0.929051 + 0.369952i \(0.120626\pi\)
\(102\) −6.75715 3.79787i −0.669057 0.376045i
\(103\) 0.0385092 0.168720i 0.00379442 0.0166245i −0.972995 0.230825i \(-0.925857\pi\)
0.976790 + 0.214201i \(0.0687146\pi\)
\(104\) 14.0567 + 4.33591i 1.37837 + 0.425171i
\(105\) 5.30189 14.6727i 0.517411 1.43191i
\(106\) −13.0550 + 4.02694i −1.26802 + 0.391131i
\(107\) 1.12048 + 14.9518i 0.108321 + 1.44544i 0.741249 + 0.671231i \(0.234234\pi\)
−0.632928 + 0.774211i \(0.718147\pi\)
\(108\) 3.71229 + 1.31046i 0.357215 + 0.126099i
\(109\) −0.0115210 + 0.153737i −0.00110351 + 0.0147253i −0.997728 0.0673654i \(-0.978541\pi\)
0.996625 + 0.0820907i \(0.0261597\pi\)
\(110\) 12.9941 1.95855i 1.23894 0.186741i
\(111\) 6.61215 + 9.46159i 0.627598 + 0.898054i
\(112\) 0.831855 + 4.98635i 0.0786029 + 0.471166i
\(113\) 13.4328 9.15836i 1.26366 0.861546i 0.268834 0.963186i \(-0.413362\pi\)
0.994821 + 0.101641i \(0.0324092\pi\)
\(114\) −1.14749 + 8.25924i −0.107472 + 0.773549i
\(115\) 15.7277 + 19.7219i 1.46661 + 1.83907i
\(116\) 0.617451 1.06946i 0.0573289 0.0992966i
\(117\) −13.6182 + 4.54771i −1.25901 + 0.420436i
\(118\) 5.71073 + 7.16103i 0.525715 + 0.659226i
\(119\) −6.12114 8.68193i −0.561124 0.795871i
\(120\) −15.5907 + 9.24303i −1.42323 + 0.843769i
\(121\) 0.618740 0.775875i 0.0562491 0.0705341i
\(122\) 0.722295 + 9.63835i 0.0653935 + 0.872615i
\(123\) 2.56257 0.616113i 0.231059 0.0555530i
\(124\) 1.25040 + 3.18596i 0.112289 + 0.286108i
\(125\) −3.37580 + 4.23311i −0.301940 + 0.378621i
\(126\) −6.26453 6.24696i −0.558088 0.556524i
\(127\) 8.12462 + 10.1879i 0.720943 + 0.904034i 0.998391 0.0567067i \(-0.0180600\pi\)
−0.277448 + 0.960741i \(0.589489\pi\)
\(128\) 0.607725 1.05261i 0.0537158 0.0930384i
\(129\) −0.402477 2.47588i −0.0354361 0.217989i
\(130\) 6.63482 16.9052i 0.581912 1.48269i
\(131\) −1.64329 7.19973i −0.143575 0.629044i −0.994588 0.103899i \(-0.966868\pi\)
0.851013 0.525145i \(-0.175989\pi\)
\(132\) −1.28924 + 4.35767i −0.112214 + 0.379286i
\(133\) −6.28834 + 9.54188i −0.545269 + 0.827386i
\(134\) 4.60596 2.21812i 0.397895 0.191616i
\(135\) 7.11871 16.1946i 0.612681 1.39381i
\(136\) −0.922247 + 12.3065i −0.0790821 + 1.05528i
\(137\) 1.35853 + 5.95209i 0.116067 + 0.508522i 0.999222 + 0.0394407i \(0.0125576\pi\)
−0.883155 + 0.469081i \(0.844585\pi\)
\(138\) 13.9081 3.34389i 1.18394 0.284651i
\(139\) 16.8810 + 15.6633i 1.43183 + 1.32854i 0.862124 + 0.506697i \(0.169134\pi\)
0.569707 + 0.821848i \(0.307057\pi\)
\(140\) −6.79639 + 0.616787i −0.574399 + 0.0521280i
\(141\) −14.9613 11.6511i −1.25997 0.981200i
\(142\) −1.69056 1.56861i −0.141869 0.131635i
\(143\) −6.05493 15.4277i −0.506339 1.29013i
\(144\) 0.560275 + 5.70468i 0.0466896 + 0.475390i
\(145\) −4.58485 3.12590i −0.380751 0.259592i
\(146\) −3.41482 5.91465i −0.282613 0.489500i
\(147\) −4.06797 11.4215i −0.335521 0.942033i
\(148\) 2.52459 4.37273i 0.207520 0.359436i
\(149\) 5.45427 2.62664i 0.446831 0.215183i −0.196917 0.980420i \(-0.563093\pi\)
0.643748 + 0.765238i \(0.277379\pi\)
\(150\) 5.65239 + 11.3986i 0.461516 + 0.930695i
\(151\) −0.00815105 + 0.0102211i −0.000663323 + 0.000831781i −0.782163 0.623074i \(-0.785884\pi\)
0.781500 + 0.623906i \(0.214455\pi\)
\(152\) 12.6862 3.91318i 1.02899 0.317401i
\(153\) −6.26190 10.2895i −0.506245 0.831857i
\(154\) 6.82775 7.59434i 0.550196 0.611970i
\(155\) 14.6960 4.53313i 1.18042 0.364110i
\(156\) 4.32457 + 4.55414i 0.346243 + 0.364623i
\(157\) −16.9836 + 15.7585i −1.35544 + 1.25767i −0.418482 + 0.908225i \(0.637438\pi\)
−0.936959 + 0.349440i \(0.886372\pi\)
\(158\) 8.48681 + 5.78621i 0.675174 + 0.460326i
\(159\) −20.7509 4.48476i −1.64565 0.355665i
\(160\) 11.3014 + 7.70515i 0.893452 + 0.609145i
\(161\) 19.1782 + 4.06153i 1.51145 + 0.320094i
\(162\) −6.61008 7.54574i −0.519337 0.592849i
\(163\) −2.03385 + 1.88714i −0.159303 + 0.147812i −0.755797 0.654806i \(-0.772750\pi\)
0.596494 + 0.802618i \(0.296560\pi\)
\(164\) −0.718802 0.901349i −0.0561290 0.0703835i
\(165\) 19.0936 + 7.24033i 1.48644 + 0.563659i
\(166\) 9.56219 0.742170
\(167\) 1.83769 0.276987i 0.142205 0.0214339i −0.0775541 0.996988i \(-0.524711\pi\)
0.219759 + 0.975554i \(0.429473\pi\)
\(168\) −4.78678 + 13.2471i −0.369308 + 1.02204i
\(169\) −9.79361 1.47615i −0.753355 0.113550i
\(170\) 15.0656 + 2.27077i 1.15548 + 0.174160i
\(171\) −7.84285 + 10.3146i −0.599758 + 0.788781i
\(172\) −0.906568 + 0.618088i −0.0691252 + 0.0471287i
\(173\) 1.34766 + 3.43377i 0.102460 + 0.261065i 0.972907 0.231199i \(-0.0742648\pi\)
−0.870446 + 0.492264i \(0.836170\pi\)
\(174\) −2.70677 + 1.60472i −0.205200 + 0.121654i
\(175\) 0.273819 + 17.4343i 0.0206988 + 1.31791i
\(176\) −6.54289 + 0.986182i −0.493189 + 0.0743363i
\(177\) 2.28374 + 14.0487i 0.171656 + 1.05596i
\(178\) 8.69291 0.651561
\(179\) −12.7605 + 1.92333i −0.953762 + 0.143757i −0.607446 0.794361i \(-0.707806\pi\)
−0.346316 + 0.938118i \(0.612568\pi\)
\(180\) −7.73598 + 0.178728i −0.576606 + 0.0133216i
\(181\) −17.5347 8.44427i −1.30335 0.627658i −0.352062 0.935977i \(-0.614519\pi\)
−0.951283 + 0.308319i \(0.900234\pi\)
\(182\) −4.37127 13.4194i −0.324020 0.994710i
\(183\) −6.35999 + 13.6065i −0.470144 + 1.00582i
\(184\) −14.1996 17.8058i −1.04681 1.31266i
\(185\) −18.7462 12.7810i −1.37825 0.939676i
\(186\) 1.20013 8.63816i 0.0879979 0.633381i
\(187\) 11.4881 7.83247i 0.840094 0.572767i
\(188\) −1.84576 + 8.08679i −0.134616 + 0.589790i
\(189\) −3.72988 13.2321i −0.271309 0.962492i
\(190\) −3.64713 15.9791i −0.264590 1.15925i
\(191\) 14.1370 + 13.1172i 1.02291 + 0.949125i 0.998720 0.0505820i \(-0.0161076\pi\)
0.0241939 + 0.999707i \(0.492298\pi\)
\(192\) 12.3656 7.33097i 0.892407 0.529067i
\(193\) −11.6817 + 3.60332i −0.840865 + 0.259372i −0.685125 0.728426i \(-0.740252\pi\)
−0.155740 + 0.987798i \(0.549776\pi\)
\(194\) 6.38481 3.07476i 0.458402 0.220755i
\(195\) 21.8591 17.8489i 1.56536 1.27819i
\(196\) −3.77251 + 3.72758i −0.269465 + 0.266256i
\(197\) 1.67709 0.119488 0.0597438 0.998214i \(-0.480972\pi\)
0.0597438 + 0.998214i \(0.480972\pi\)
\(198\) 8.30435 8.07017i 0.590165 0.573522i
\(199\) 16.9611 + 15.7376i 1.20234 + 1.11561i 0.990387 + 0.138326i \(0.0441720\pi\)
0.211950 + 0.977280i \(0.432018\pi\)
\(200\) 12.6299 15.8374i 0.893070 1.11987i
\(201\) 7.92826 + 0.502134i 0.559217 + 0.0354178i
\(202\) −3.29563 1.01657i −0.231880 0.0715254i
\(203\) −4.29476 + 0.389759i −0.301433 + 0.0273557i
\(204\) −2.91755 + 4.38728i −0.204269 + 0.307171i
\(205\) −4.28028 + 2.91825i −0.298948 + 0.203819i
\(206\) 0.184324 + 0.0568564i 0.0128424 + 0.00396137i
\(207\) 21.3865 + 6.05957i 1.48646 + 0.421169i
\(208\) −3.34081 + 8.51223i −0.231643 + 0.590217i
\(209\) −12.3585 8.42587i −0.854854 0.582830i
\(210\) 15.8670 + 7.11520i 1.09493 + 0.490995i
\(211\) 4.16312 2.83836i 0.286601 0.195401i −0.411483 0.911418i \(-0.634989\pi\)
0.698083 + 0.716017i \(0.254037\pi\)
\(212\) 2.06644 + 9.05364i 0.141923 + 0.621807i
\(213\) −1.09580 3.41206i −0.0750827 0.233791i
\(214\) −16.7122 −1.14242
\(215\) 2.46520 + 4.26985i 0.168125 + 0.291201i
\(216\) −6.42709 + 14.6212i −0.437308 + 0.994844i
\(217\) 6.57684 9.97964i 0.446465 0.677462i
\(218\) −0.169919 0.0256111i −0.0115083 0.00173460i
\(219\) −0.122573 10.6122i −0.00828270 0.717106i
\(220\) −0.667511 8.90731i −0.0450036 0.600531i
\(221\) −1.43597 19.1616i −0.0965935 1.28895i
\(222\) −11.0673 + 6.56128i −0.742787 + 0.440364i
\(223\) −1.18883 0.179188i −0.0796102 0.0119993i 0.109116 0.994029i \(-0.465198\pi\)
−0.188727 + 0.982030i \(0.560436\pi\)
\(224\) 10.5863 0.960732i 0.707328 0.0641916i
\(225\) −1.02172 + 19.7447i −0.0681147 + 1.31631i
\(226\) 9.06059 + 15.6934i 0.602701 + 1.04391i
\(227\) −3.85394 −0.255795 −0.127897 0.991787i \(-0.540823\pi\)
−0.127897 + 0.991787i \(0.540823\pi\)
\(228\) 5.54008 + 1.19734i 0.366901 + 0.0792959i
\(229\) −0.330416 1.44765i −0.0218345 0.0956633i 0.962837 0.270085i \(-0.0870517\pi\)
−0.984671 + 0.174421i \(0.944195\pi\)
\(230\) −23.2308 + 15.8385i −1.53179 + 1.04436i
\(231\) 15.0313 5.08911i 0.988989 0.334839i
\(232\) 4.13941 + 2.82220i 0.271765 + 0.185287i
\(233\) −7.22084 + 18.3984i −0.473053 + 1.20532i 0.472929 + 0.881100i \(0.343197\pi\)
−0.945982 + 0.324219i \(0.894899\pi\)
\(234\) −3.92043 15.5154i −0.256286 1.01428i
\(235\) 35.6168 + 10.9863i 2.32338 + 0.716668i
\(236\) 5.14405 3.50715i 0.334849 0.228296i
\(237\) 7.09109 + 14.2999i 0.460616 + 0.928879i
\(238\) 10.1598 6.08046i 0.658561 0.394138i
\(239\) −24.7713 7.64094i −1.60232 0.494251i −0.640508 0.767951i \(-0.721276\pi\)
−0.961815 + 0.273700i \(0.911752\pi\)
\(240\) −5.00543 10.0940i −0.323099 0.651564i
\(241\) 14.0515 17.6200i 0.905134 1.13500i −0.0852086 0.996363i \(-0.527156\pi\)
0.990343 0.138639i \(-0.0442729\pi\)
\(242\) 0.810844 + 0.752354i 0.0521230 + 0.0483631i
\(243\) −3.20912 15.2546i −0.205865 0.978580i
\(244\) 6.56986 0.420592
\(245\) 15.4363 + 18.1562i 0.986191 + 1.15996i
\(246\) 0.471357 + 2.89961i 0.0300526 + 0.184872i
\(247\) −18.6241 + 8.96888i −1.18502 + 0.570676i
\(248\) −13.2682 + 4.09271i −0.842534 + 0.259887i
\(249\) 12.9533 + 7.28045i 0.820885 + 0.461380i
\(250\) −4.42390 4.10478i −0.279792 0.259609i
\(251\) 1.86483 + 8.17037i 0.117707 + 0.515709i 0.999064 + 0.0432577i \(0.0137737\pi\)
−0.881357 + 0.472451i \(0.843369\pi\)
\(252\) −4.55260 + 3.92897i −0.286787 + 0.247502i
\(253\) −5.70965 + 25.0156i −0.358963 + 1.57272i
\(254\) −12.0006 + 8.18188i −0.752985 + 0.513377i
\(255\) 18.6795 + 14.5467i 1.16976 + 0.910949i
\(256\) −12.5955 8.58750i −0.787222 0.536719i
\(257\) −6.49611 8.14586i −0.405216 0.508125i 0.536792 0.843714i \(-0.319636\pi\)
−0.942008 + 0.335590i \(0.891064\pi\)
\(258\) 2.78546 0.241123i 0.173415 0.0150116i
\(259\) −17.5601 + 1.59362i −1.09113 + 0.0990228i
\(260\) −11.1219 5.35601i −0.689749 0.332166i
\(261\) −4.88851 + 0.112941i −0.302591 + 0.00699089i
\(262\) 8.13936 1.22681i 0.502851 0.0757926i
\(263\) −13.2879 −0.819369 −0.409685 0.912227i \(-0.634361\pi\)
−0.409685 + 0.912227i \(0.634361\pi\)
\(264\) −17.2386 6.53689i −1.06096 0.402318i
\(265\) 41.2629 6.21939i 2.53476 0.382054i
\(266\) −10.0820 7.78426i −0.618165 0.477284i
\(267\) 11.7758 + 6.61860i 0.720666 + 0.405052i
\(268\) −1.26954 3.23474i −0.0775495 0.197593i
\(269\) −17.3775 + 11.8478i −1.05953 + 0.722374i −0.962053 0.272864i \(-0.912029\pi\)
−0.0974751 + 0.995238i \(0.531077\pi\)
\(270\) 17.4072 + 9.26135i 1.05937 + 0.563628i
\(271\) 1.89241 + 0.285235i 0.114956 + 0.0173268i 0.206268 0.978496i \(-0.433868\pi\)
−0.0913124 + 0.995822i \(0.529106\pi\)
\(272\) −7.58591 1.14339i −0.459963 0.0693283i
\(273\) 4.29573 21.5066i 0.259990 1.30164i
\(274\) −6.72889 + 1.01422i −0.406507 + 0.0612711i
\(275\) −22.8225 −1.37625
\(276\) −1.56011 9.59720i −0.0939076 0.577684i
\(277\) 17.9570 + 22.5174i 1.07893 + 1.35294i 0.931448 + 0.363875i \(0.118546\pi\)
0.147485 + 0.989064i \(0.452882\pi\)
\(278\) −18.8158 + 17.4585i −1.12850 + 1.04709i
\(279\) 8.20267 10.7879i 0.491081 0.645853i
\(280\) −0.434774 27.6825i −0.0259827 1.65435i
\(281\) 17.7090 + 12.0738i 1.05643 + 0.720261i 0.961384 0.275212i \(-0.0887480\pi\)
0.0950455 + 0.995473i \(0.469700\pi\)
\(282\) 14.1964 15.6589i 0.845381 0.932476i
\(283\) −14.0121 9.55331i −0.832935 0.567885i 0.0700569 0.997543i \(-0.477682\pi\)
−0.902992 + 0.429658i \(0.858634\pi\)
\(284\) −1.14913 + 1.06623i −0.0681881 + 0.0632693i
\(285\) 7.22561 24.4228i 0.428008 1.44668i
\(286\) 17.6522 5.44498i 1.04380 0.321968i
\(287\) −1.12611 + 3.86524i −0.0664720 + 0.228158i
\(288\) 12.0499 0.278393i 0.710045 0.0164045i
\(289\) −0.840334 + 0.259209i −0.0494314 + 0.0152476i
\(290\) 3.85632 4.83568i 0.226451 0.283961i
\(291\) 10.9902 + 0.696060i 0.644256 + 0.0408037i
\(292\) −4.18259 + 2.01423i −0.244768 + 0.117874i
\(293\) −5.47513 + 9.48320i −0.319860 + 0.554014i −0.980459 0.196725i \(-0.936969\pi\)
0.660598 + 0.750739i \(0.270303\pi\)
\(294\) 13.0338 3.57018i 0.760149 0.208217i
\(295\) −13.9880 24.2280i −0.814415 1.41061i
\(296\) 16.9249 + 11.5392i 0.983742 + 0.670704i
\(297\) 17.3939 4.60943i 1.00930 0.267466i
\(298\) 2.46518 + 6.28119i 0.142804 + 0.363859i
\(299\) 25.9943 + 24.1192i 1.50329 + 1.39485i
\(300\) 8.01347 3.25235i 0.462658 0.187775i
\(301\) 3.58830 + 1.34366i 0.206826 + 0.0774475i
\(302\) −0.0106818 0.00991123i −0.000614667 0.000570327i
\(303\) −3.69041 3.88631i −0.212008 0.223263i
\(304\) 1.83642 + 8.04590i 0.105326 + 0.461464i
\(305\) 2.20617 29.4393i 0.126325 1.68569i
\(306\) 11.9583 6.10301i 0.683613 0.348886i
\(307\) 5.58024 2.68730i 0.318481 0.153372i −0.267812 0.963471i \(-0.586301\pi\)
0.586294 + 0.810099i \(0.300586\pi\)
\(308\) −4.80085 5.01382i −0.273554 0.285689i
\(309\) 0.206404 + 0.217360i 0.0117419 + 0.0123652i
\(310\) 3.81445 + 16.7122i 0.216646 + 0.949189i
\(311\) 0.730798 1.86204i 0.0414397 0.105587i −0.908656 0.417546i \(-0.862890\pi\)
0.950095 + 0.311960i \(0.100985\pi\)
\(312\) −19.7354 + 16.1148i −1.11730 + 0.912321i
\(313\) 1.62563 2.81567i 0.0918860 0.159151i −0.816419 0.577460i \(-0.804044\pi\)
0.908305 + 0.418309i \(0.137377\pi\)
\(314\) −16.1009 20.1898i −0.908624 1.13938i
\(315\) 16.0768 + 21.7194i 0.905823 + 1.22375i
\(316\) 4.35317 5.45870i 0.244885 0.307076i
\(317\) 1.40337 + 3.57573i 0.0788212 + 0.200833i 0.964852 0.262793i \(-0.0846435\pi\)
−0.886031 + 0.463626i \(0.846548\pi\)
\(318\) 6.71324 22.6910i 0.376460 1.27245i
\(319\) −0.421813 5.62870i −0.0236170 0.315147i
\(320\) −17.6171 + 22.0912i −0.984827 + 1.23493i
\(321\) −22.6390 12.7243i −1.26359 0.710201i
\(322\) −6.11183 + 20.9782i −0.340599 + 1.16907i
\(323\) −10.8125 13.5585i −0.601625 0.754414i
\(324\) −5.45050 + 4.09722i −0.302806 + 0.227623i
\(325\) −15.7702 + 27.3148i −0.874774 + 1.51515i
\(326\) −1.92814 2.41781i −0.106790 0.133910i
\(327\) −0.210679 0.164066i −0.0116506 0.00907289i
\(328\) 3.86443 2.63472i 0.213377 0.145478i
\(329\) 26.7943 11.0047i 1.47722 0.606707i
\(330\) −9.63801 + 20.6194i −0.530555 + 1.13506i
\(331\) 17.4330 2.62760i 0.958204 0.144426i 0.348722 0.937226i \(-0.386616\pi\)
0.609482 + 0.792800i \(0.291378\pi\)
\(332\) 0.485725 6.48155i 0.0266576 0.355721i
\(333\) −19.9878 + 0.461787i −1.09533 + 0.0253058i
\(334\) 0.154800 + 2.06566i 0.00847026 + 0.113028i
\(335\) −14.9210 + 4.60253i −0.815224 + 0.251463i
\(336\) −7.98946 3.58269i −0.435861 0.195452i
\(337\) 22.5101 + 6.94345i 1.22620 + 0.378234i 0.839189 0.543840i \(-0.183030\pi\)
0.387015 + 0.922073i \(0.373506\pi\)
\(338\) 2.45649 10.7626i 0.133616 0.585409i
\(339\) 0.325224 + 28.1575i 0.0176637 + 1.52931i
\(340\) 2.30447 10.0966i 0.124978 0.547563i
\(341\) 12.9255 + 8.81244i 0.699954 + 0.477220i
\(342\) −10.8114 9.57646i −0.584615 0.517836i
\(343\) 18.2300 + 3.26621i 0.984326 + 0.176359i
\(344\) −2.22569 3.85501i −0.120001 0.207848i
\(345\) −43.5286 + 3.76804i −2.34350 + 0.202864i
\(346\) −3.92888 + 1.21190i −0.211218 + 0.0651521i
\(347\) 0.980005 + 0.147712i 0.0526094 + 0.00792960i 0.175294 0.984516i \(-0.443912\pi\)
−0.122685 + 0.992446i \(0.539150\pi\)
\(348\) 0.950235 + 1.91625i 0.0509379 + 0.102722i
\(349\) −17.8719 + 16.5827i −0.956660 + 0.887651i −0.993746 0.111661i \(-0.964383\pi\)
0.0370864 + 0.999312i \(0.488192\pi\)
\(350\) −19.4010 1.14785i −1.03703 0.0613549i
\(351\) 6.50235 24.0028i 0.347070 1.28117i
\(352\) 1.03974 + 13.8744i 0.0554184 + 0.739507i
\(353\) −2.21630 9.71023i −0.117962 0.516823i −0.999038 0.0438497i \(-0.986038\pi\)
0.881077 0.472974i \(-0.156819\pi\)
\(354\) −15.8053 + 1.36818i −0.840040 + 0.0727179i
\(355\) 4.39187 + 5.50723i 0.233096 + 0.292294i
\(356\) 0.441569 5.89232i 0.0234031 0.312292i
\(357\) 18.3924 0.501393i 0.973430 0.0265365i
\(358\) −1.07489 14.3434i −0.0568097 0.758073i
\(359\) −8.32585 + 7.72526i −0.439422 + 0.407724i −0.868614 0.495490i \(-0.834989\pi\)
0.429192 + 0.903213i \(0.358798\pi\)
\(360\) 1.62231 31.3509i 0.0855030 1.65234i
\(361\) 0.172096 0.298078i 0.00905767 0.0156883i
\(362\) 10.8463 18.7864i 0.570071 0.987392i
\(363\) 0.525577 + 1.63653i 0.0275857 + 0.0858955i
\(364\) −9.31811 + 2.28132i −0.488401 + 0.119574i
\(365\) 7.62116 + 19.4184i 0.398910 + 1.01641i
\(366\) −14.5938 8.20246i −0.762829 0.428750i
\(367\) −6.66457 3.20949i −0.347888 0.167534i 0.251777 0.967785i \(-0.418985\pi\)
−0.599665 + 0.800251i \(0.704699\pi\)
\(368\) 11.6973 7.97510i 0.609765 0.415731i
\(369\) −1.56918 + 4.28681i −0.0816884 + 0.223163i
\(370\) 15.7675 19.7718i 0.819712 1.02789i
\(371\) 21.6815 24.1159i 1.12565 1.25203i
\(372\) −5.79425 1.25227i −0.300418 0.0649274i
\(373\) 34.2170 1.77169 0.885846 0.463980i \(-0.153579\pi\)
0.885846 + 0.463980i \(0.153579\pi\)
\(374\) 7.74885 + 13.4214i 0.400684 + 0.694004i
\(375\) −2.86751 8.92878i −0.148078 0.461080i
\(376\) −32.1564 9.91893i −1.65834 0.511530i
\(377\) −7.02812 3.38456i −0.361966 0.174314i
\(378\) 15.0181 3.04358i 0.772447 0.156545i
\(379\) −7.99816 + 3.85171i −0.410838 + 0.197849i −0.627875 0.778314i \(-0.716075\pi\)
0.217037 + 0.976163i \(0.430361\pi\)
\(380\) −11.0164 + 1.66045i −0.565129 + 0.0851794i
\(381\) −22.4860 + 1.94650i −1.15199 + 0.0997221i
\(382\) −15.7572 + 14.6206i −0.806210 + 0.748054i
\(383\) −1.29317 0.622756i −0.0660777 0.0318214i 0.400553 0.916274i \(-0.368818\pi\)
−0.466631 + 0.884452i \(0.654532\pi\)
\(384\) 0.935266 + 1.88606i 0.0477276 + 0.0962477i
\(385\) −24.0789 + 19.8288i −1.22717 + 1.01057i
\(386\) −3.03205 13.2843i −0.154327 0.676152i
\(387\) 3.95689 + 1.79416i 0.201140 + 0.0912021i
\(388\) −1.75984 4.48400i −0.0893424 0.227641i
\(389\) 0.435437 1.90777i 0.0220775 0.0967279i −0.962689 0.270611i \(-0.912774\pi\)
0.984766 + 0.173883i \(0.0556315\pi\)
\(390\) 18.0183 + 25.7831i 0.912391 + 1.30558i
\(391\) −14.8746 + 25.7636i −0.752243 + 1.30292i
\(392\) −13.9366 16.3922i −0.703904 0.827932i
\(393\) 11.9600 + 4.53525i 0.603301 + 0.228773i
\(394\) −0.139693 + 1.86408i −0.00703765 + 0.0939109i
\(395\) −22.9984 21.3394i −1.15718 1.07370i
\(396\) −5.04838 6.03888i −0.253691 0.303465i
\(397\) −27.6050 + 8.51501i −1.38546 + 0.427356i −0.895760 0.444538i \(-0.853368\pi\)
−0.489695 + 0.871894i \(0.662892\pi\)
\(398\) −18.9050 + 17.5413i −0.947623 + 0.879265i
\(399\) −7.73069 18.2211i −0.387019 0.912196i
\(400\) 9.23080 + 8.56493i 0.461540 + 0.428247i
\(401\) −4.79676 2.31000i −0.239539 0.115356i 0.310264 0.950651i \(-0.399583\pi\)
−0.549802 + 0.835295i \(0.685297\pi\)
\(402\) −1.21851 + 8.77041i −0.0607735 + 0.437428i
\(403\) 19.4785 9.38036i 0.970294 0.467269i
\(404\) −0.856467 + 2.18224i −0.0426108 + 0.108571i
\(405\) 16.5292 + 25.7993i 0.821342 + 1.28198i
\(406\) −0.0754830 4.80608i −0.00374616 0.238522i
\(407\) −1.72468 23.0142i −0.0854892 1.14077i
\(408\) −16.8647 13.1334i −0.834927 0.650200i
\(409\) 10.6210 27.0618i 0.525174 1.33812i −0.384626 0.923072i \(-0.625670\pi\)
0.909800 0.415048i \(-0.136235\pi\)
\(410\) −2.88710 5.00060i −0.142583 0.246962i
\(411\) −9.88744 3.74934i −0.487712 0.184941i
\(412\) 0.0479020 0.122052i 0.00235996 0.00601308i
\(413\) −20.3607 7.62422i −1.00189 0.375163i
\(414\) −8.51658 + 23.2663i −0.418567 + 1.14347i
\(415\) −28.8804 4.35303i −1.41768 0.213682i
\(416\) 17.3239 + 8.34273i 0.849372 + 0.409036i
\(417\) −38.7813 + 9.32409i −1.89913 + 0.456602i
\(418\) 10.3947 13.0346i 0.508423 0.637542i
\(419\) −2.02268 5.15371i −0.0988145 0.251775i 0.872915 0.487872i \(-0.162227\pi\)
−0.971729 + 0.236097i \(0.924132\pi\)
\(420\) 5.62888 10.3937i 0.274661 0.507162i
\(421\) 1.33345 3.39757i 0.0649882 0.165587i −0.894690 0.446687i \(-0.852604\pi\)
0.959679 + 0.281099i \(0.0906991\pi\)
\(422\) 2.80806 + 4.86371i 0.136694 + 0.236762i
\(423\) 31.1534 10.4034i 1.51473 0.505832i
\(424\) −37.2540 + 5.61514i −1.80921 + 0.272695i
\(425\) −25.2851 7.79941i −1.22651 0.378327i
\(426\) 3.88377 0.933765i 0.188169 0.0452411i
\(427\) −13.2201 18.7508i −0.639768 0.907416i
\(428\) −0.848918 + 11.3280i −0.0410340 + 0.547560i
\(429\) 28.0581 + 6.06401i 1.35466 + 0.292773i
\(430\) −4.95126 + 2.38440i −0.238771 + 0.114986i
\(431\) 20.0064 + 6.17115i 0.963673 + 0.297254i 0.736376 0.676572i \(-0.236535\pi\)
0.227296 + 0.973826i \(0.427011\pi\)
\(432\) −8.76500 4.66333i −0.421706 0.224365i
\(433\) 1.65942 7.27037i 0.0797464 0.349392i −0.919275 0.393615i \(-0.871224\pi\)
0.999022 + 0.0442234i \(0.0140813\pi\)
\(434\) 10.5445 + 8.14139i 0.506153 + 0.390799i
\(435\) 8.90572 3.61449i 0.426997 0.173301i
\(436\) −0.0259912 + 0.113875i −0.00124475 + 0.00545363i
\(437\) 31.6457 + 4.76983i 1.51382 + 0.228172i
\(438\) 11.8056 + 0.747706i 0.564095 + 0.0357268i
\(439\) 0.511932 6.83125i 0.0244332 0.326038i −0.971572 0.236744i \(-0.923920\pi\)
0.996005 0.0892942i \(-0.0284611\pi\)
\(440\) 36.2379 1.72757
\(441\) 20.3745 + 5.08739i 0.970212 + 0.242257i
\(442\) 21.4177 1.01874
\(443\) 1.82716 24.3817i 0.0868109 1.15841i −0.768344 0.640038i \(-0.778919\pi\)
0.855154 0.518373i \(-0.173462\pi\)
\(444\) 3.88526 + 7.83503i 0.184386 + 0.371834i
\(445\) −26.2550 3.95730i −1.24461 0.187594i
\(446\) 0.298191 1.30646i 0.0141198 0.0618627i
\(447\) −1.44292 + 10.3857i −0.0682480 + 0.491227i
\(448\) 0.344835 + 21.9560i 0.0162919 + 1.03732i
\(449\) 1.67247 7.32757i 0.0789287 0.345809i −0.920009 0.391898i \(-0.871819\pi\)
0.998937 + 0.0460889i \(0.0146757\pi\)
\(450\) −21.8611 2.78028i −1.03054 0.131063i
\(451\) −5.03541 1.55322i −0.237108 0.0731382i
\(452\) 11.0977 5.34438i 0.521993 0.251378i
\(453\) −0.00692377 0.0215591i −0.000325307 0.00101293i
\(454\) 0.321014 4.28364i 0.0150660 0.201041i
\(455\) 7.09348 + 42.5201i 0.332548 + 1.99337i
\(456\) −6.52360 + 22.0500i −0.305495 + 1.03259i
\(457\) 13.4739 + 4.15615i 0.630282 + 0.194416i 0.593406 0.804904i \(-0.297783\pi\)
0.0368764 + 0.999320i \(0.488259\pi\)
\(458\) 1.63658 0.246674i 0.0764723 0.0115263i
\(459\) 20.8460 + 0.837434i 0.973007 + 0.0390881i
\(460\) 9.55578 + 16.5511i 0.445541 + 0.771699i
\(461\) 0.731280 1.86327i 0.0340591 0.0867812i −0.912832 0.408335i \(-0.866110\pi\)
0.946891 + 0.321553i \(0.104205\pi\)
\(462\) 4.40449 + 17.1312i 0.204916 + 0.797014i
\(463\) −11.1177 28.3275i −0.516684 1.31649i −0.916552 0.399916i \(-0.869039\pi\)
0.399868 0.916573i \(-0.369056\pi\)
\(464\) −1.94176 + 2.43489i −0.0901439 + 0.113037i
\(465\) −7.55711 + 25.5433i −0.350452 + 1.18454i
\(466\) −19.8483 9.55843i −0.919454 0.442786i
\(467\) 5.79740 + 0.873818i 0.268272 + 0.0404355i 0.281801 0.959473i \(-0.409068\pi\)
−0.0135287 + 0.999908i \(0.504306\pi\)
\(468\) −10.7160 + 1.86926i −0.495346 + 0.0864065i
\(469\) −6.67753 + 10.1324i −0.308340 + 0.467872i
\(470\) −15.1780 + 38.6728i −0.700107 + 1.78384i
\(471\) −6.43878 39.6089i −0.296683 1.82508i
\(472\) 12.6290 + 21.8741i 0.581297 + 1.00684i
\(473\) −1.83225 + 4.66849i −0.0842469 + 0.214658i
\(474\) −16.4850 + 6.69060i −0.757179 + 0.307310i
\(475\) 2.12722 + 28.3858i 0.0976035 + 1.30243i
\(476\) −3.60544 7.19548i −0.165255 0.329804i
\(477\) 26.3705 25.6269i 1.20742 1.17337i
\(478\) 10.5562 26.8968i 0.482830 1.23023i
\(479\) −19.7422 + 9.50736i −0.902046 + 0.434402i −0.826628 0.562749i \(-0.809744\pi\)
−0.0754186 + 0.997152i \(0.524029\pi\)
\(480\) −21.9520 + 8.90948i −1.00197 + 0.406660i
\(481\) −28.7361 13.8386i −1.31025 0.630985i
\(482\) 18.4141 + 17.0858i 0.838740 + 0.778237i
\(483\) −24.2517 + 23.7645i −1.10349 + 1.08132i
\(484\) 0.551156 0.511398i 0.0250526 0.0232454i
\(485\) −20.6836 + 6.38005i −0.939194 + 0.289703i
\(486\) 17.2227 2.29630i 0.781237 0.104162i
\(487\) 3.09404 + 2.87085i 0.140205 + 0.130091i 0.747158 0.664647i \(-0.231418\pi\)
−0.606953 + 0.794738i \(0.707608\pi\)
\(488\) −1.99183 + 26.5791i −0.0901658 + 1.20318i
\(489\) −0.771067 4.74331i −0.0348688 0.214500i
\(490\) −21.4663 + 15.6451i −0.969750 + 0.706773i
\(491\) 13.3890 23.1903i 0.604235 1.04657i −0.387937 0.921686i \(-0.626812\pi\)
0.992172 0.124880i \(-0.0398545\pi\)
\(492\) 1.98939 0.172211i 0.0896885 0.00776386i
\(493\) 1.45624 6.38020i 0.0655857 0.287350i
\(494\) −8.41758 21.4477i −0.378725 0.964976i
\(495\) −28.7552 + 20.5937i −1.29245 + 0.925619i
\(496\) −1.92068 8.41503i −0.0862409 0.377846i
\(497\) 5.35542 + 1.13416i 0.240223 + 0.0508742i
\(498\) −9.17115 + 13.7912i −0.410969 + 0.617997i
\(499\) 7.78376 + 3.74846i 0.348449 + 0.167804i 0.599919 0.800061i \(-0.295200\pi\)
−0.251470 + 0.967865i \(0.580914\pi\)
\(500\) −3.00707 + 2.79015i −0.134480 + 0.124779i
\(501\) −1.36305 + 2.91609i −0.0608967 + 0.130281i
\(502\) −9.23667 + 1.39220i −0.412253 + 0.0621371i
\(503\) −35.3323 + 17.0152i −1.57539 + 0.758668i −0.998315 0.0580230i \(-0.981520\pi\)
−0.577075 + 0.816691i \(0.695806\pi\)
\(504\) −14.5148 19.6092i −0.646541 0.873463i
\(505\) 9.49093 + 4.57059i 0.422341 + 0.203389i
\(506\) −27.3292 8.42994i −1.21493 0.374757i
\(507\) 11.5221 12.7092i 0.511714 0.564433i
\(508\) 4.93634 + 8.54999i 0.219015 + 0.379344i
\(509\) 3.86472 0.171301 0.0856504 0.996325i \(-0.472703\pi\)
0.0856504 + 0.996325i \(0.472703\pi\)
\(510\) −17.7245 + 19.5506i −0.784854 + 0.865714i
\(511\) 14.1651 + 7.88427i 0.626628 + 0.348780i
\(512\) 12.1098 15.1852i 0.535181 0.671096i
\(513\) −7.35429 21.2043i −0.324700 0.936192i
\(514\) 9.59519 6.54189i 0.423226 0.288550i
\(515\) −0.530826 0.255632i −0.0233910 0.0112645i
\(516\) −0.0219490 1.90032i −0.000966251 0.0836569i
\(517\) 13.8514 + 35.2928i 0.609183 + 1.55217i
\(518\) −0.308630 19.6508i −0.0135604 0.863406i
\(519\) −6.24494 1.34968i −0.274122 0.0592443i
\(520\) 25.0402 43.3709i 1.09809 1.90194i
\(521\) −17.6619 + 30.5913i −0.773781 + 1.34023i 0.161695 + 0.986841i \(0.448304\pi\)
−0.935477 + 0.353388i \(0.885030\pi\)
\(522\) 0.281655 5.44297i 0.0123277 0.238232i
\(523\) 16.4920 15.3024i 0.721145 0.669125i −0.231629 0.972804i \(-0.574406\pi\)
0.952774 + 0.303679i \(0.0982151\pi\)
\(524\) −0.418120 5.57942i −0.0182657 0.243738i
\(525\) −25.4075 16.3264i −1.10887 0.712545i
\(526\) 1.10682 14.7695i 0.0482597 0.643981i
\(527\) 11.3086 + 14.1805i 0.492609 + 0.617713i
\(528\) 4.85299 10.3824i 0.211199 0.451836i
\(529\) −7.09842 31.1002i −0.308627 1.35218i
\(530\) 3.47582 + 46.3817i 0.150980 + 2.01469i
\(531\) −22.4522 10.1804i −0.974342 0.441792i
\(532\) −5.78854 + 6.43846i −0.250965 + 0.279143i
\(533\) −5.33840 + 4.95331i −0.231232 + 0.214552i
\(534\) −8.33742 + 12.5374i −0.360796 + 0.542548i
\(535\) 50.4753 + 7.60793i 2.18224 + 0.328920i
\(536\) 13.4714 4.15537i 0.581875 0.179485i
\(537\) 9.46469 20.2486i 0.408432 0.873792i
\(538\) −11.7213 20.3019i −0.505343 0.875279i
\(539\) −4.64930 + 23.7910i −0.200260 + 1.02475i
\(540\) 7.16185 11.3287i 0.308197 0.487511i
\(541\) 29.4616 + 20.0866i 1.26665 + 0.863590i 0.995104 0.0988348i \(-0.0315115\pi\)
0.271550 + 0.962424i \(0.412464\pi\)
\(542\) −0.474666 + 2.07965i −0.0203887 + 0.0893286i
\(543\) 28.9965 17.1907i 1.24436 0.737723i
\(544\) −3.58954 + 15.7268i −0.153900 + 0.674281i
\(545\) 0.501542 + 0.154705i 0.0214837 + 0.00662684i
\(546\) 23.5467 + 6.56609i 1.00771 + 0.281003i
\(547\) 15.1315 4.66744i 0.646975 0.199565i 0.0461358 0.998935i \(-0.485309\pi\)
0.600839 + 0.799370i \(0.294833\pi\)
\(548\) 0.345664 + 4.61257i 0.0147660 + 0.197039i
\(549\) −13.5242 22.2228i −0.577197 0.948446i
\(550\) 1.90100 25.3671i 0.0810589 1.08166i
\(551\) −6.96146 + 1.04927i −0.296568 + 0.0447005i
\(552\) 39.2995 3.40195i 1.67270 0.144797i
\(553\) −24.3391 1.44001i −1.03500 0.0612353i
\(554\) −26.5237 + 18.0836i −1.12689 + 0.768298i
\(555\) 36.4131 14.7787i 1.54565 0.627320i
\(556\) 10.8782 + 13.6408i 0.461337 + 0.578498i
\(557\) 17.6030 30.4892i 0.745861 1.29187i −0.203930 0.978985i \(-0.565372\pi\)
0.949791 0.312884i \(-0.101295\pi\)
\(558\) 11.3074 + 10.0158i 0.478682 + 0.424003i
\(559\) 4.32136 + 5.41881i 0.182774 + 0.229191i
\(560\) 17.1804 + 1.01647i 0.726005 + 0.0429536i
\(561\) 0.278140 + 24.0810i 0.0117431 + 1.01670i
\(562\) −14.8950 + 18.6778i −0.628309 + 0.787875i
\(563\) −1.98707 26.5156i −0.0837451 1.11750i −0.867835 0.496853i \(-0.834489\pi\)
0.784090 0.620648i \(-0.213130\pi\)
\(564\) −9.89298 10.4181i −0.416570 0.438683i
\(565\) −20.2213 51.5231i −0.850717 2.16759i
\(566\) 11.7856 14.7787i 0.495386 0.621195i
\(567\) 22.6615 + 7.31150i 0.951692 + 0.307054i
\(568\) −3.96517 4.97217i −0.166375 0.208628i
\(569\) −3.11016 + 5.38696i −0.130385 + 0.225833i −0.923825 0.382815i \(-0.874955\pi\)
0.793440 + 0.608648i \(0.208288\pi\)
\(570\) 26.5440 + 10.0655i 1.11181 + 0.421599i
\(571\) 4.28281 10.9124i 0.179230 0.456671i −0.812820 0.582515i \(-0.802069\pi\)
0.992050 + 0.125844i \(0.0401640\pi\)
\(572\) −2.79411 12.2418i −0.116827 0.511855i
\(573\) −32.4772 + 7.80841i −1.35676 + 0.326201i
\(574\) −4.20240 1.57362i −0.175405 0.0656816i
\(575\) 43.9952 21.1870i 1.83473 0.883559i
\(576\) −1.28671 + 24.8655i −0.0536128 + 1.03606i
\(577\) 1.33136 17.7658i 0.0554254 0.739600i −0.898388 0.439202i \(-0.855261\pi\)
0.953814 0.300398i \(-0.0971196\pi\)
\(578\) −0.218114 0.955619i −0.00907234 0.0397485i
\(579\) 6.00703 20.3040i 0.249644 0.843804i
\(580\) −3.08188 2.85957i −0.127968 0.118737i
\(581\) −19.4762 + 11.6561i −0.808007 + 0.483578i
\(582\) −1.68910 + 12.1576i −0.0700153 + 0.503948i
\(583\) 31.1155 + 28.8710i 1.28867 + 1.19571i
\(584\) −6.88072 17.5318i −0.284726 0.725470i
\(585\) 4.77763 + 48.6456i 0.197531 + 2.01125i
\(586\) −10.0845 6.87549i −0.416586 0.284024i
\(587\) 15.7270 + 27.2399i 0.649122 + 1.12431i 0.983333 + 0.181813i \(0.0581967\pi\)
−0.334212 + 0.942498i \(0.608470\pi\)
\(588\) −1.75790 9.01609i −0.0724947 0.371817i
\(589\) 9.75585 16.8976i 0.401983 0.696255i
\(590\) 28.0945 13.5296i 1.15663 0.557004i
\(591\) −1.60851 + 2.41880i −0.0661651 + 0.0994962i
\(592\) −7.93934 + 9.95562i −0.326305 + 0.409173i
\(593\) 30.8285 9.50934i 1.26598 0.390502i 0.412177 0.911104i \(-0.364769\pi\)
0.853799 + 0.520602i \(0.174292\pi\)
\(594\) 3.67454 + 19.7172i 0.150768 + 0.809006i
\(595\) −33.4534 + 13.7396i −1.37146 + 0.563268i
\(596\) 4.38280 1.35192i 0.179527 0.0553766i
\(597\) −38.9651 + 9.36828i −1.59474 + 0.383418i
\(598\) −28.9736 + 26.8836i −1.18482 + 1.09935i
\(599\) −15.6572 10.6749i −0.639735 0.436164i 0.199526 0.979892i \(-0.436060\pi\)
−0.839261 + 0.543729i \(0.817012\pi\)
\(600\) 10.7283 + 33.4054i 0.437979 + 1.36377i
\(601\) −10.7483 7.32808i −0.438433 0.298918i 0.323915 0.946086i \(-0.395001\pi\)
−0.762348 + 0.647168i \(0.775953\pi\)
\(602\) −1.79236 + 3.87646i −0.0730513 + 0.157993i
\(603\) −8.32825 + 10.9530i −0.339153 + 0.446042i
\(604\) −0.00726073 + 0.00673698i −0.000295435 + 0.000274124i
\(605\) −2.10648 2.64144i −0.0856404 0.107390i
\(606\) 4.62701 3.77816i 0.187960 0.153477i
\(607\) 1.85780 0.0754056 0.0377028 0.999289i \(-0.487996\pi\)
0.0377028 + 0.999289i \(0.487996\pi\)
\(608\) 17.1596 2.58639i 0.695912 0.104892i
\(609\) 3.55700 6.56799i 0.144137 0.266148i
\(610\) 32.5379 + 4.90430i 1.31742 + 0.198569i
\(611\) 51.8110 + 7.80925i 2.09605 + 0.315929i
\(612\) −3.52937 8.41574i −0.142666 0.340186i
\(613\) −21.2286 + 14.4734i −0.857414 + 0.584575i −0.910264 0.414028i \(-0.864122\pi\)
0.0528504 + 0.998602i \(0.483169\pi\)
\(614\) 2.52212 + 6.42626i 0.101784 + 0.259343i
\(615\) −0.103630 8.97219i −0.00417878 0.361794i
\(616\) 21.7395 17.9023i 0.875908 0.721304i
\(617\) −3.80513 + 0.573530i −0.153189 + 0.0230895i −0.225189 0.974315i \(-0.572300\pi\)
0.0720002 + 0.997405i \(0.477062\pi\)
\(618\) −0.258788 + 0.211312i −0.0104100 + 0.00850021i
\(619\) 19.7387 0.793365 0.396682 0.917956i \(-0.370161\pi\)
0.396682 + 0.917956i \(0.370161\pi\)
\(620\) 11.5218 1.73663i 0.462727 0.0697448i
\(621\) −29.2514 + 25.0331i −1.17382 + 1.00454i
\(622\) 2.00878 + 0.967378i 0.0805448 + 0.0387883i
\(623\) −17.7056 + 10.5965i −0.709361 + 0.424540i
\(624\) −9.07267 12.9824i −0.363198 0.519714i
\(625\) −9.05237 11.3513i −0.362095 0.454053i
\(626\) 2.99420 + 2.04141i 0.119672 + 0.0815913i
\(627\) 24.0054 9.74286i 0.958683 0.389092i
\(628\) −14.5032 + 9.88809i −0.578739 + 0.394578i
\(629\) 5.95418 26.0869i 0.237409 1.04015i
\(630\) −25.4801 + 16.0602i −1.01515 + 0.639852i
\(631\) −7.42858 32.5467i −0.295727 1.29566i −0.876422 0.481544i \(-0.840076\pi\)
0.580695 0.814121i \(-0.302781\pi\)
\(632\) 20.7640 + 19.2662i 0.825947 + 0.766367i
\(633\) 0.100794 + 8.72659i 0.00400619 + 0.346851i
\(634\) −4.09131 + 1.26200i −0.162487 + 0.0501205i
\(635\) 39.9698 19.2484i 1.58615 0.763851i
\(636\) −15.0396 5.70306i −0.596361 0.226141i
\(637\) 25.2613 + 22.0039i 1.00089 + 0.871827i
\(638\) 6.29141 0.249079
\(639\) 5.97207 + 1.69210i 0.236251 + 0.0669386i
\(640\) −3.03333 2.81452i −0.119903 0.111254i
\(641\) −6.66581 + 8.35867i −0.263284 + 0.330147i −0.895848 0.444360i \(-0.853431\pi\)
0.632564 + 0.774508i \(0.282002\pi\)
\(642\) 16.0287 24.1033i 0.632604 0.951281i
\(643\) −40.2376 12.4117i −1.58682 0.489468i −0.629135 0.777296i \(-0.716591\pi\)
−0.957682 + 0.287828i \(0.907067\pi\)
\(644\) 13.9092 + 5.20841i 0.548100 + 0.205240i
\(645\) −8.52262 0.539777i −0.335578 0.0212537i
\(646\) 15.9708 10.8887i 0.628364 0.428411i
\(647\) −33.7512 10.4109i −1.32690 0.409294i −0.451317 0.892364i \(-0.649045\pi\)
−0.875582 + 0.483070i \(0.839522\pi\)
\(648\) −14.9233 23.2928i −0.586242 0.915027i
\(649\) 10.3965 26.4900i 0.408100 1.03982i
\(650\) −29.0467 19.8037i −1.13931 0.776766i
\(651\) 8.08536 + 19.0571i 0.316890 + 0.746905i
\(652\) −1.73681 + 1.18413i −0.0680186 + 0.0463743i
\(653\) −5.56565 24.3847i −0.217801 0.954248i −0.959099 0.283072i \(-0.908647\pi\)
0.741298 0.671176i \(-0.234211\pi\)
\(654\) 0.199908 0.220503i 0.00781701 0.00862236i
\(655\) −25.1416 −0.982363
\(656\) 1.45373 + 2.51793i 0.0567586 + 0.0983087i
\(657\) 15.4231 + 10.0014i 0.601714 + 0.390194i
\(658\) 9.99981 + 30.6985i 0.389833 + 1.19675i
\(659\) −25.1258 3.78711i −0.978762 0.147525i −0.359872 0.933002i \(-0.617180\pi\)
−0.618891 + 0.785477i \(0.712418\pi\)
\(660\) 13.4869 + 7.58033i 0.524976 + 0.295064i
\(661\) 1.05831 + 14.1221i 0.0411633 + 0.549286i 0.979220 + 0.202803i \(0.0650052\pi\)
−0.938056 + 0.346483i \(0.887376\pi\)
\(662\) 1.46849 + 19.5956i 0.0570743 + 0.761604i
\(663\) 29.0133 + 16.3070i 1.12678 + 0.633311i
\(664\) 26.0745 + 3.93010i 1.01189 + 0.152518i
\(665\) 26.9067 + 28.1003i 1.04340 + 1.08968i
\(666\) 1.15161 22.2549i 0.0446241 0.862358i
\(667\) 6.03848 + 10.4589i 0.233811 + 0.404972i
\(668\) 1.40803 0.0544783
\(669\) 1.39865 1.54275i 0.0540751 0.0596461i
\(670\) −3.87285 16.9681i −0.149621 0.655533i
\(671\) 24.8115 16.9162i 0.957837 0.653042i
\(672\) −8.76777 + 16.1897i −0.338224 + 0.624530i
\(673\) −5.94899 4.05595i −0.229317 0.156345i 0.443211 0.896417i \(-0.353839\pi\)
−0.672528 + 0.740072i \(0.734792\pi\)
\(674\) −9.59260 + 24.4416i −0.369493 + 0.941454i
\(675\) −27.4971 20.4108i −1.05836 0.785613i
\(676\) −7.17044 2.21179i −0.275786 0.0850688i
\(677\) 18.2279 12.4276i 0.700556 0.477631i −0.159915 0.987131i \(-0.551122\pi\)
0.860471 + 0.509500i \(0.170169\pi\)
\(678\) −31.3240 1.98390i −1.20299 0.0761911i
\(679\) −9.25642 + 14.0456i −0.355229 + 0.539021i
\(680\) 40.1480 + 12.3840i 1.53961 + 0.474906i
\(681\) 3.69633 5.55839i 0.141644 0.212998i
\(682\) −10.8716 + 13.6326i −0.416296 + 0.522019i
\(683\) 5.61714 + 5.21194i 0.214934 + 0.199429i 0.780291 0.625417i \(-0.215071\pi\)
−0.565357 + 0.824846i \(0.691262\pi\)
\(684\) −7.04040 + 6.84186i −0.269196 + 0.261605i
\(685\) 20.7848 0.794146
\(686\) −5.14885 + 19.9905i −0.196584 + 0.763240i
\(687\) 2.40479 + 0.911901i 0.0917485 + 0.0347912i
\(688\) 2.49309 1.20061i 0.0950482 0.0457728i
\(689\) 56.0546 17.2905i 2.13551 0.658717i
\(690\) −0.562444 48.6957i −0.0214119 1.85381i
\(691\) 22.1640 + 20.5651i 0.843157 + 0.782335i 0.978016 0.208530i \(-0.0668678\pi\)
−0.134859 + 0.990865i \(0.543058\pi\)
\(692\) 0.621889 + 2.72468i 0.0236407 + 0.103577i
\(693\) −7.07681 + 26.5601i −0.268826 + 1.00893i
\(694\) −0.245811 + 1.07697i −0.00933086 + 0.0408812i
\(695\) 64.7767 44.1640i 2.45712 1.67524i
\(696\) −8.04048 + 3.26332i −0.304774 + 0.123696i
\(697\) −5.04794 3.44163i −0.191204 0.130361i
\(698\) −16.9430 21.2458i −0.641300 0.804165i
\(699\) −19.6097 28.0603i −0.741708 1.06134i
\(700\) −1.76355 + 13.0923i −0.0666558 + 0.494842i
\(701\) 41.2861 + 19.8823i 1.55935 + 0.750946i 0.997106 0.0760228i \(-0.0242222\pi\)
0.562248 + 0.826968i \(0.309936\pi\)
\(702\) 26.1374 + 9.22665i 0.986492 + 0.348238i
\(703\) −28.4636 + 4.29019i −1.07352 + 0.161808i
\(704\) −28.7415 −1.08324
\(705\) −50.0054 + 40.8316i −1.88331 + 1.53781i
\(706\) 10.9775 1.65459i 0.413143 0.0622713i
\(707\) 7.95168 1.94678i 0.299054 0.0732164i
\(708\) 0.124543 + 10.7828i 0.00468062 + 0.405242i
\(709\) −7.76960 19.7966i −0.291794 0.743478i −0.999323 0.0367939i \(-0.988285\pi\)
0.707529 0.706684i \(-0.249810\pi\)
\(710\) −6.48709 + 4.42282i −0.243456 + 0.165986i
\(711\) −27.4253 3.48794i −1.02853 0.130808i
\(712\) 23.7042 + 3.57283i 0.888351 + 0.133897i
\(713\) −33.0976 4.98866i −1.23951 0.186827i
\(714\) −0.974703 + 20.4849i −0.0364773 + 0.766627i
\(715\) −55.7932 + 8.40947i −2.08655 + 0.314496i
\(716\) −9.77701 −0.365384
\(717\) 34.7785 28.3982i 1.29883 1.06055i
\(718\) −7.89310 9.89763i −0.294568 0.369376i
\(719\) −16.3471 + 15.1678i −0.609642 + 0.565665i −0.923401 0.383838i \(-0.874602\pi\)
0.313759 + 0.949503i \(0.398412\pi\)
\(720\) 19.3589 + 2.46205i 0.721463 + 0.0917553i
\(721\) −0.444736 + 0.108883i −0.0165628 + 0.00405502i
\(722\) 0.316978 + 0.216112i 0.0117967 + 0.00804286i
\(723\) 11.9358 + 37.1653i 0.443896 + 1.38219i
\(724\) −12.1830 8.30626i −0.452779 0.308700i
\(725\) −7.87437 + 7.30635i −0.292447 + 0.271351i
\(726\) −1.86278 + 0.447862i −0.0691341 + 0.0166217i
\(727\) 7.86115 2.42484i 0.291554 0.0899325i −0.145528 0.989354i \(-0.546488\pi\)
0.437082 + 0.899422i \(0.356012\pi\)
\(728\) −6.40431 38.3890i −0.237359 1.42279i
\(729\) 25.0789 + 10.0023i 0.928850 + 0.370457i
\(730\) −22.2183 + 6.85343i −0.822336 + 0.253657i
\(731\) −3.62538 + 4.54608i −0.134089 + 0.168143i
\(732\) −6.30119 + 9.47545i −0.232899 + 0.350223i
\(733\) 43.1645 20.7869i 1.59432 0.767782i 0.594963 0.803753i \(-0.297167\pi\)
0.999353 + 0.0359709i \(0.0114523\pi\)
\(734\) 4.12246 7.14031i 0.152163 0.263554i
\(735\) −40.9911 + 4.84948i −1.51198 + 0.178876i
\(736\) −14.8845 25.7806i −0.548649 0.950287i
\(737\) −13.1234 8.94735i −0.483405 0.329580i
\(738\) −4.63407 2.10121i −0.170583 0.0773467i
\(739\) 18.1923 + 46.3531i 0.669213 + 1.70513i 0.708319 + 0.705892i \(0.249454\pi\)
−0.0391062 + 0.999235i \(0.512451\pi\)
\(740\) −12.6010 11.6920i −0.463222 0.429807i
\(741\) 4.92699 35.4629i 0.180997 1.30276i
\(742\) 24.9987 + 26.1077i 0.917732 + 0.958443i
\(743\) 28.4187 + 26.3687i 1.04258 + 0.967375i 0.999498 0.0316968i \(-0.0100911\pi\)
0.0430844 + 0.999071i \(0.486282\pi\)
\(744\) 6.82289 23.0616i 0.250139 0.845479i
\(745\) −4.58613 20.0931i −0.168023 0.736156i
\(746\) −2.85011 + 38.0321i −0.104350 + 1.39246i
\(747\) −22.9239 + 11.6994i −0.838743 + 0.428058i
\(748\) 9.49106 4.57065i 0.347027 0.167120i
\(749\) 34.0391 20.3718i 1.24376 0.744371i
\(750\) 10.1632 2.44350i 0.371106 0.0892241i
\(751\) −3.40980 14.9393i −0.124425 0.545143i −0.998262 0.0589244i \(-0.981233\pi\)
0.873837 0.486219i \(-0.161624\pi\)
\(752\) 7.64250 19.4728i 0.278693 0.710099i
\(753\) −13.5724 5.14667i −0.494605 0.187555i
\(754\) 4.34734 7.52981i 0.158321 0.274219i
\(755\) 0.0277500 + 0.0347973i 0.00100992 + 0.00126640i
\(756\) −1.30017 10.3343i −0.0472867 0.375856i
\(757\) −3.57264 + 4.47995i −0.129850 + 0.162826i −0.842506 0.538687i \(-0.818921\pi\)
0.712656 + 0.701513i \(0.247492\pi\)
\(758\) −3.61495 9.21075i −0.131301 0.334550i
\(759\) −30.6029 32.2274i −1.11081 1.16978i
\(760\) −3.37763 45.0714i −0.122520 1.63491i
\(761\) 6.21730 7.79624i 0.225377 0.282614i −0.656267 0.754529i \(-0.727866\pi\)
0.881644 + 0.471915i \(0.156437\pi\)
\(762\) −0.290548 25.1553i −0.0105254 0.911280i
\(763\) 0.377308 0.154963i 0.0136595 0.00561005i
\(764\) 9.10986 + 11.4234i 0.329583 + 0.413284i
\(765\) −38.8958 + 12.9889i −1.40628 + 0.469616i
\(766\) 0.799906 1.38548i 0.0289018 0.0500593i
\(767\) −24.5203 30.7474i −0.885376 1.11023i
\(768\) 24.4659 9.92974i 0.882836 0.358309i
\(769\) −2.89891 + 1.97644i −0.104537 + 0.0712723i −0.614460 0.788948i \(-0.710626\pi\)
0.509923 + 0.860220i \(0.329674\pi\)
\(770\) −20.0340 28.4152i −0.721974 1.02401i
\(771\) 17.9789 1.55634i 0.647494 0.0560502i
\(772\) −9.15850 + 1.38042i −0.329622 + 0.0496825i