Properties

Label 576.2.bm.a.205.55
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.55
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.55

$q$-expansion

\(f(q)\) \(=\) \(q+(0.345686 - 1.37131i) q^{2} +(-0.245867 + 1.71451i) q^{3} +(-1.76100 - 0.948089i) q^{4} +(0.286709 + 0.326929i) q^{5} +(2.26614 + 0.929844i) q^{6} +(-0.859540 - 0.113161i) q^{7} +(-1.90888 + 2.08714i) q^{8} +(-2.87910 - 0.843083i) q^{9} +O(q^{10})\) \(q+(0.345686 - 1.37131i) q^{2} +(-0.245867 + 1.71451i) q^{3} +(-1.76100 - 0.948089i) q^{4} +(0.286709 + 0.326929i) q^{5} +(2.26614 + 0.929844i) q^{6} +(-0.859540 - 0.113161i) q^{7} +(-1.90888 + 2.08714i) q^{8} +(-2.87910 - 0.843083i) q^{9} +(0.547433 - 0.280153i) q^{10} +(-2.07234 - 4.20228i) q^{11} +(2.05848 - 2.78615i) q^{12} +(-1.47296 - 4.33920i) q^{13} +(-0.452310 + 1.13958i) q^{14} +(-0.631015 + 0.411185i) q^{15} +(2.20226 + 3.33917i) q^{16} +(2.54210 + 2.54210i) q^{17} +(-2.15140 + 3.65671i) q^{18} +(0.422578 - 2.12444i) q^{19} +(-0.194937 - 0.847548i) q^{20} +(0.405347 - 1.44587i) q^{21} +(-6.47903 + 1.38915i) q^{22} +(-1.19003 - 9.03919i) q^{23} +(-3.10910 - 3.78596i) q^{24} +(0.627950 - 4.76976i) q^{25} +(-6.45958 + 0.519887i) q^{26} +(2.15335 - 4.72896i) q^{27} +(1.40636 + 1.01420i) q^{28} +(3.70220 - 0.242655i) q^{29} +(0.345730 + 1.00746i) q^{30} +(-7.63171 + 4.40617i) q^{31} +(5.34034 - 1.86568i) q^{32} +(7.71438 - 2.51984i) q^{33} +(4.36478 - 2.60724i) q^{34} +(-0.209442 - 0.313452i) q^{35} +(4.27078 + 4.21431i) q^{36} +(1.03248 + 5.19062i) q^{37} +(-2.76720 - 1.31388i) q^{38} +(7.80175 - 1.45854i) q^{39} +(-1.22964 - 0.0256655i) q^{40} +(-0.367026 - 2.78784i) q^{41} +(-1.84262 - 1.05568i) q^{42} +(-3.66588 + 1.80781i) q^{43} +(-0.334749 + 9.36499i) q^{44} +(-0.549835 - 1.18298i) q^{45} +(-12.8069 - 1.49282i) q^{46} +(-11.0865 + 2.97061i) q^{47} +(-6.26651 + 2.95480i) q^{48} +(-6.03548 - 1.61720i) q^{49} +(-6.32376 - 2.50996i) q^{50} +(-4.98347 + 3.73344i) q^{51} +(-1.52006 + 9.03783i) q^{52} +(3.13171 - 4.68693i) q^{53} +(-5.74051 - 4.58766i) q^{54} +(0.779690 - 1.88234i) q^{55} +(1.87694 - 1.57797i) q^{56} +(3.53849 + 1.24685i) q^{57} +(0.947044 - 5.16076i) q^{58} +(9.74332 + 11.1101i) q^{59} +(1.50106 - 0.125838i) q^{60} +(0.568218 + 8.66932i) q^{61} +(3.40406 + 11.9886i) q^{62} +(2.37930 + 1.05046i) q^{63} +(-0.712343 - 7.96822i) q^{64} +(0.996298 - 1.72564i) q^{65} +(-0.788738 - 11.4499i) q^{66} +(-4.61472 - 2.27573i) q^{67} +(-2.06650 - 6.88677i) q^{68} +(15.7904 + 0.182114i) q^{69} +(-0.502243 + 0.178855i) q^{70} +(-2.19618 - 5.30204i) q^{71} +(7.25549 - 4.39975i) q^{72} +(-2.08906 + 5.04343i) q^{73} +(7.47488 + 0.378475i) q^{74} +(8.02341 + 2.24935i) q^{75} +(-2.75832 + 3.34051i) q^{76} +(1.30572 + 3.84654i) q^{77} +(0.696844 - 11.2028i) q^{78} +(-3.27866 - 12.2361i) q^{79} +(-0.460266 + 1.67735i) q^{80} +(7.57842 + 4.85464i) q^{81} +(-3.94988 - 0.460410i) q^{82} +(7.58932 + 6.65565i) q^{83} +(-2.08463 + 2.16187i) q^{84} +(-0.102243 + 1.55993i) q^{85} +(1.21183 + 5.65201i) q^{86} +(-0.494213 + 6.40712i) q^{87} +(12.7266 + 3.69639i) q^{88} +(11.7726 - 4.87636i) q^{89} +(-1.81231 + 0.345056i) q^{90} +(0.775040 + 3.89639i) q^{91} +(-6.47431 + 17.0463i) q^{92} +(-5.67805 - 14.1680i) q^{93} +(0.241197 + 16.2299i) q^{94} +(0.815699 - 0.470944i) q^{95} +(1.88571 + 9.61479i) q^{96} +(-10.7348 - 6.19776i) q^{97} +(-4.30407 + 7.71749i) q^{98} +(2.42359 + 13.8459i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.345686 1.37131i 0.244437 0.969665i
\(3\) −0.245867 + 1.71451i −0.141951 + 0.989874i
\(4\) −1.76100 0.948089i −0.880501 0.474044i
\(5\) 0.286709 + 0.326929i 0.128220 + 0.146207i 0.812387 0.583118i \(-0.198168\pi\)
−0.684167 + 0.729325i \(0.739834\pi\)
\(6\) 2.26614 + 0.929844i 0.925148 + 0.379607i
\(7\) −0.859540 0.113161i −0.324875 0.0427707i −0.0336753 0.999433i \(-0.510721\pi\)
−0.291200 + 0.956662i \(0.594055\pi\)
\(8\) −1.90888 + 2.08714i −0.674892 + 0.737917i
\(9\) −2.87910 0.843083i −0.959700 0.281028i
\(10\) 0.547433 0.280153i 0.173114 0.0885921i
\(11\) −2.07234 4.20228i −0.624833 1.26704i −0.947267 0.320444i \(-0.896168\pi\)
0.322434 0.946592i \(-0.395499\pi\)
\(12\) 2.05848 2.78615i 0.594232 0.804293i
\(13\) −1.47296 4.33920i −0.408525 1.20348i −0.935418 0.353544i \(-0.884976\pi\)
0.526893 0.849932i \(-0.323357\pi\)
\(14\) −0.452310 + 1.13958i −0.120885 + 0.304566i
\(15\) −0.631015 + 0.411185i −0.162927 + 0.106167i
\(16\) 2.20226 + 3.33917i 0.550564 + 0.834793i
\(17\) 2.54210 + 2.54210i 0.616549 + 0.616549i 0.944645 0.328095i \(-0.106407\pi\)
−0.328095 + 0.944645i \(0.606407\pi\)
\(18\) −2.15140 + 3.65671i −0.507089 + 0.861894i
\(19\) 0.422578 2.12444i 0.0969461 0.487381i −0.901556 0.432663i \(-0.857574\pi\)
0.998502 0.0547181i \(-0.0174260\pi\)
\(20\) −0.194937 0.847548i −0.0435893 0.189517i
\(21\) 0.405347 1.44587i 0.0884540 0.315514i
\(22\) −6.47903 + 1.38915i −1.38133 + 0.296168i
\(23\) −1.19003 9.03919i −0.248139 1.88480i −0.432036 0.901856i \(-0.642205\pi\)
0.183898 0.982945i \(-0.441129\pi\)
\(24\) −3.10910 3.78596i −0.634643 0.772806i
\(25\) 0.627950 4.76976i 0.125590 0.953951i
\(26\) −6.45958 + 0.519887i −1.26683 + 0.101958i
\(27\) 2.15335 4.72896i 0.414413 0.910089i
\(28\) 1.40636 + 1.01420i 0.265778 + 0.191665i
\(29\) 3.70220 0.242655i 0.687481 0.0450599i 0.282340 0.959314i \(-0.408889\pi\)
0.405141 + 0.914254i \(0.367223\pi\)
\(30\) 0.345730 + 1.00746i 0.0631213 + 0.183936i
\(31\) −7.63171 + 4.40617i −1.37070 + 0.791372i −0.991016 0.133746i \(-0.957299\pi\)
−0.379680 + 0.925118i \(0.623966\pi\)
\(32\) 5.34034 1.86568i 0.944048 0.329808i
\(33\) 7.71438 2.51984i 1.34290 0.438648i
\(34\) 4.36478 2.60724i 0.748554 0.447139i
\(35\) −0.209442 0.313452i −0.0354022 0.0529831i
\(36\) 4.27078 + 4.21431i 0.711797 + 0.702385i
\(37\) 1.03248 + 5.19062i 0.169738 + 0.853332i 0.967986 + 0.251003i \(0.0807605\pi\)
−0.798248 + 0.602329i \(0.794240\pi\)
\(38\) −2.76720 1.31388i −0.448899 0.213139i
\(39\) 7.80175 1.45854i 1.24928 0.233553i
\(40\) −1.22964 0.0256655i −0.194423 0.00405808i
\(41\) −0.367026 2.78784i −0.0573198 0.435387i −0.995910 0.0903528i \(-0.971201\pi\)
0.938590 0.345035i \(-0.112133\pi\)
\(42\) −1.84262 1.05568i −0.284322 0.162894i
\(43\) −3.66588 + 1.80781i −0.559041 + 0.275689i −0.699780 0.714358i \(-0.746719\pi\)
0.140739 + 0.990047i \(0.455052\pi\)
\(44\) −0.334749 + 9.36499i −0.0504653 + 1.41183i
\(45\) −0.549835 1.18298i −0.0819646 0.176348i
\(46\) −12.8069 1.49282i −1.88828 0.220104i
\(47\) −11.0865 + 2.97061i −1.61713 + 0.433309i −0.950157 0.311773i \(-0.899077\pi\)
−0.666973 + 0.745082i \(0.732410\pi\)
\(48\) −6.26651 + 2.95480i −0.904493 + 0.426489i
\(49\) −6.03548 1.61720i −0.862211 0.231029i
\(50\) −6.32376 2.50996i −0.894315 0.354962i
\(51\) −4.98347 + 3.73344i −0.697826 + 0.522786i
\(52\) −1.52006 + 9.03783i −0.210794 + 1.25332i
\(53\) 3.13171 4.68693i 0.430173 0.643799i −0.551544 0.834146i \(-0.685961\pi\)
0.981717 + 0.190346i \(0.0609611\pi\)
\(54\) −5.74051 4.58766i −0.781184 0.624301i
\(55\) 0.779690 1.88234i 0.105133 0.253814i
\(56\) 1.87694 1.57797i 0.250817 0.210866i
\(57\) 3.53849 + 1.24685i 0.468684 + 0.165149i
\(58\) 0.947044 5.16076i 0.124353 0.677641i
\(59\) 9.74332 + 11.1101i 1.26847 + 1.44642i 0.839744 + 0.542982i \(0.182705\pi\)
0.428728 + 0.903434i \(0.358962\pi\)
\(60\) 1.50106 0.125838i 0.193786 0.0162457i
\(61\) 0.568218 + 8.66932i 0.0727528 + 1.10999i 0.865654 + 0.500643i \(0.166903\pi\)
−0.792901 + 0.609350i \(0.791430\pi\)
\(62\) 3.40406 + 11.9886i 0.432317 + 1.52256i
\(63\) 2.37930 + 1.05046i 0.299763 + 0.132346i
\(64\) −0.712343 7.96822i −0.0890429 0.996028i
\(65\) 0.996298 1.72564i 0.123576 0.214039i
\(66\) −0.788738 11.4499i −0.0970870 1.40939i
\(67\) −4.61472 2.27573i −0.563778 0.278024i 0.137986 0.990434i \(-0.455937\pi\)
−0.701764 + 0.712410i \(0.747604\pi\)
\(68\) −2.06650 6.88677i −0.250600 0.835144i
\(69\) 15.7904 + 0.182114i 1.90094 + 0.0219239i
\(70\) −0.502243 + 0.178855i −0.0600295 + 0.0213772i
\(71\) −2.19618 5.30204i −0.260638 0.629236i 0.738340 0.674428i \(-0.235610\pi\)
−0.998978 + 0.0451925i \(0.985610\pi\)
\(72\) 7.25549 4.39975i 0.855068 0.518515i
\(73\) −2.08906 + 5.04343i −0.244505 + 0.590288i −0.997720 0.0674864i \(-0.978502\pi\)
0.753215 + 0.657775i \(0.228502\pi\)
\(74\) 7.47488 + 0.378475i 0.868937 + 0.0439968i
\(75\) 8.02341 + 2.24935i 0.926464 + 0.259733i
\(76\) −2.75832 + 3.34051i −0.316401 + 0.383183i
\(77\) 1.30572 + 3.84654i 0.148801 + 0.438353i
\(78\) 0.696844 11.2028i 0.0789021 1.26847i
\(79\) −3.27866 12.2361i −0.368878 1.37667i −0.862088 0.506759i \(-0.830843\pi\)
0.493210 0.869910i \(-0.335823\pi\)
\(80\) −0.460266 + 1.67735i −0.0514593 + 0.187534i
\(81\) 7.57842 + 4.85464i 0.842047 + 0.539404i
\(82\) −3.94988 0.460410i −0.436191 0.0508438i
\(83\) 7.58932 + 6.65565i 0.833036 + 0.730553i 0.965435 0.260644i \(-0.0839348\pi\)
−0.132399 + 0.991196i \(0.542268\pi\)
\(84\) −2.08463 + 2.16187i −0.227452 + 0.235879i
\(85\) −0.102243 + 1.55993i −0.0110898 + 0.169198i
\(86\) 1.21183 + 5.65201i 0.130675 + 0.609472i
\(87\) −0.494213 + 6.40712i −0.0529852 + 0.686916i
\(88\) 12.7266 + 3.69639i 1.35666 + 0.394037i
\(89\) 11.7726 4.87636i 1.24789 0.516893i 0.341718 0.939802i \(-0.388991\pi\)
0.906172 + 0.422910i \(0.138991\pi\)
\(90\) −1.81231 + 0.345056i −0.191034 + 0.0363721i
\(91\) 0.775040 + 3.89639i 0.0812463 + 0.408453i
\(92\) −6.47431 + 17.0463i −0.674993 + 1.77720i
\(93\) −5.67805 14.1680i −0.588786 1.46915i
\(94\) 0.241197 + 16.2299i 0.0248776 + 1.67399i
\(95\) 0.815699 0.470944i 0.0836890 0.0483179i
\(96\) 1.88571 + 9.61479i 0.192459 + 0.981305i
\(97\) −10.7348 6.19776i −1.08996 0.629287i −0.156392 0.987695i \(-0.549986\pi\)
−0.933565 + 0.358408i \(0.883320\pi\)
\(98\) −4.30407 + 7.71749i −0.434777 + 0.779584i
\(99\) 2.42359 + 13.8459i 0.243580 + 1.39157i
\(100\) −5.62798 + 7.80420i −0.562798 + 0.780420i
\(101\) 2.50647 + 0.850832i 0.249403 + 0.0846609i 0.443342 0.896353i \(-0.353793\pi\)
−0.193939 + 0.981014i \(0.562126\pi\)
\(102\) 3.39699 + 8.12450i 0.336353 + 0.804446i
\(103\) −5.76897 4.42668i −0.568433 0.436174i 0.284139 0.958783i \(-0.408292\pi\)
−0.852573 + 0.522609i \(0.824959\pi\)
\(104\) 11.8682 + 5.20873i 1.16378 + 0.510758i
\(105\) 0.588913 0.282024i 0.0574720 0.0275227i
\(106\) −5.34466 5.91476i −0.519120 0.574492i
\(107\) −5.43285 3.63011i −0.525213 0.350936i 0.264526 0.964378i \(-0.414784\pi\)
−0.789740 + 0.613442i \(0.789784\pi\)
\(108\) −8.27553 + 6.28614i −0.796313 + 0.604884i
\(109\) 0.631814 3.17634i 0.0605168 0.304238i −0.938658 0.344849i \(-0.887930\pi\)
0.999175 + 0.0406103i \(0.0129302\pi\)
\(110\) −2.31175 1.71990i −0.220417 0.163986i
\(111\) −9.15322 + 0.493995i −0.868786 + 0.0468879i
\(112\) −1.51506 3.11936i −0.143160 0.294752i
\(113\) 17.2309 + 4.61701i 1.62095 + 0.434332i 0.951280 0.308327i \(-0.0997691\pi\)
0.669670 + 0.742659i \(0.266436\pi\)
\(114\) 2.93302 4.42136i 0.274703 0.414098i
\(115\) 2.61398 2.98067i 0.243755 0.277949i
\(116\) −6.74964 3.08270i −0.626688 0.286221i
\(117\) 0.582491 + 13.7348i 0.0538513 + 1.26978i
\(118\) 18.6036 9.52053i 1.71260 0.876436i
\(119\) −1.89737 2.47270i −0.173931 0.226672i
\(120\) 0.346332 2.10192i 0.0316156 0.191878i
\(121\) −6.66823 + 8.69020i −0.606203 + 0.790019i
\(122\) 12.0848 + 2.21766i 1.09411 + 0.200778i
\(123\) 4.87002 + 0.0561670i 0.439115 + 0.00506441i
\(124\) 17.6169 0.523734i 1.58204 0.0470327i
\(125\) 3.54719 2.37015i 0.317270 0.211993i
\(126\) 2.26301 2.89963i 0.201605 0.258320i
\(127\) −3.43841 −0.305110 −0.152555 0.988295i \(-0.548750\pi\)
−0.152555 + 0.988295i \(0.548750\pi\)
\(128\) −11.1732 1.77766i −0.987579 0.157124i
\(129\) −2.19820 6.72967i −0.193540 0.592515i
\(130\) −2.02199 1.96277i −0.177340 0.172146i
\(131\) 10.5447 + 5.20008i 0.921296 + 0.454333i 0.840141 0.542368i \(-0.182472\pi\)
0.0811555 + 0.996701i \(0.474139\pi\)
\(132\) −15.9741 2.87647i −1.39036 0.250365i
\(133\) −0.603626 + 1.77823i −0.0523410 + 0.154192i
\(134\) −4.71598 + 5.54154i −0.407399 + 0.478716i
\(135\) 2.16342 0.651843i 0.186197 0.0561017i
\(136\) −10.1583 + 0.453162i −0.871066 + 0.0388583i
\(137\) 1.81067 + 2.35972i 0.154696 + 0.201604i 0.864272 0.503025i \(-0.167780\pi\)
−0.709575 + 0.704630i \(0.751113\pi\)
\(138\) 5.70826 21.5906i 0.485919 1.83792i
\(139\) 16.6083 + 1.08856i 1.40870 + 0.0923309i 0.750677 0.660670i \(-0.229728\pi\)
0.658020 + 0.753000i \(0.271394\pi\)
\(140\) 0.0716474 + 0.750560i 0.00605531 + 0.0634339i
\(141\) −2.36735 19.7383i −0.199367 1.66226i
\(142\) −8.02994 + 1.17880i −0.673858 + 0.0989230i
\(143\) −15.1821 + 15.1821i −1.26959 + 1.26959i
\(144\) −3.52531 11.4705i −0.293776 0.955874i
\(145\) 1.14078 + 1.14078i 0.0947370 + 0.0947370i
\(146\) 6.19396 + 4.60819i 0.512616 + 0.381377i
\(147\) 4.25663 9.95028i 0.351081 0.820685i
\(148\) 3.10297 10.1196i 0.255063 0.831823i
\(149\) 1.10195 16.8125i 0.0902751 1.37733i −0.676985 0.735996i \(-0.736714\pi\)
0.767261 0.641336i \(-0.221619\pi\)
\(150\) 5.85815 10.2250i 0.478316 0.834871i
\(151\) −4.45393 + 3.41762i −0.362456 + 0.278122i −0.773893 0.633316i \(-0.781693\pi\)
0.411438 + 0.911438i \(0.365027\pi\)
\(152\) 3.62737 + 4.93730i 0.294219 + 0.400468i
\(153\) −5.17575 9.46215i −0.418435 0.764969i
\(154\) 5.72618 0.460861i 0.461429 0.0371372i
\(155\) −3.62858 1.23174i −0.291455 0.0989356i
\(156\) −15.1217 4.82826i −1.21071 0.386570i
\(157\) 0.877132 1.77865i 0.0700028 0.141952i −0.859059 0.511877i \(-0.828950\pi\)
0.929061 + 0.369926i \(0.120617\pi\)
\(158\) −17.9129 + 0.266209i −1.42508 + 0.0211784i
\(159\) 7.26581 + 6.52171i 0.576216 + 0.517205i
\(160\) 2.14107 + 1.21101i 0.169266 + 0.0957384i
\(161\) 7.90421i 0.622939i
\(162\) 9.27699 8.71421i 0.728869 0.684653i
\(163\) 6.17477 + 9.24120i 0.483646 + 0.723827i 0.990395 0.138267i \(-0.0441531\pi\)
−0.506749 + 0.862093i \(0.669153\pi\)
\(164\) −1.99679 + 5.25736i −0.155923 + 0.410531i
\(165\) 3.03559 + 1.79959i 0.236320 + 0.140098i
\(166\) 11.7505 8.10656i 0.912016 0.629191i
\(167\) 1.24198 + 0.953001i 0.0961069 + 0.0737454i 0.655697 0.755024i \(-0.272375\pi\)
−0.559590 + 0.828769i \(0.689041\pi\)
\(168\) 2.24398 + 3.60601i 0.173126 + 0.278210i
\(169\) −6.34542 + 4.86901i −0.488109 + 0.374539i
\(170\) 2.10380 + 0.679453i 0.161354 + 0.0521116i
\(171\) −3.00773 + 5.76022i −0.230007 + 0.440495i
\(172\) 8.16959 + 0.292020i 0.622925 + 0.0222663i
\(173\) −10.8016 9.47274i −0.821230 0.720199i 0.141712 0.989908i \(-0.454739\pi\)
−0.962942 + 0.269709i \(0.913073\pi\)
\(174\) 8.61533 + 2.89258i 0.653127 + 0.219286i
\(175\) −1.07950 + 4.02874i −0.0816023 + 0.304544i
\(176\) 9.46833 16.1744i 0.713703 1.21919i
\(177\) −21.4440 + 13.9734i −1.61183 + 1.05031i
\(178\) −2.61740 17.8296i −0.196182 1.33638i
\(179\) −8.85480 1.76133i −0.661839 0.131648i −0.147269 0.989096i \(-0.547048\pi\)
−0.514570 + 0.857449i \(0.672048\pi\)
\(180\) −0.153309 + 2.60452i −0.0114270 + 0.194130i
\(181\) 7.97969 11.9424i 0.593125 0.887675i −0.406538 0.913634i \(-0.633264\pi\)
0.999663 + 0.0259591i \(0.00826398\pi\)
\(182\) 5.61110 + 0.284106i 0.415922 + 0.0210593i
\(183\) −15.0034 1.15728i −1.10908 0.0855489i
\(184\) 21.1377 + 14.7710i 1.55829 + 1.08893i
\(185\) −1.40094 + 1.82574i −0.102999 + 0.134231i
\(186\) −21.3916 + 2.88870i −1.56851 + 0.211810i
\(187\) 5.41453 15.9507i 0.395950 1.16643i
\(188\) 22.3397 + 5.27971i 1.62929 + 0.385063i
\(189\) −2.38602 + 3.82106i −0.173558 + 0.277941i
\(190\) −0.363836 1.28138i −0.0263954 0.0929610i
\(191\) 8.41668 14.5781i 0.609010 1.05484i −0.382394 0.923999i \(-0.624900\pi\)
0.991404 0.130837i \(-0.0417664\pi\)
\(192\) 13.8367 + 0.737801i 0.998581 + 0.0532462i
\(193\) −1.40672 2.43651i −0.101258 0.175384i 0.810945 0.585122i \(-0.198953\pi\)
−0.912203 + 0.409738i \(0.865620\pi\)
\(194\) −12.2100 + 12.5783i −0.876624 + 0.903072i
\(195\) 2.71367 + 2.13244i 0.194330 + 0.152707i
\(196\) 9.09524 + 8.57006i 0.649660 + 0.612147i
\(197\) 6.99874 1.39214i 0.498640 0.0991856i 0.0606381 0.998160i \(-0.480686\pi\)
0.438002 + 0.898974i \(0.355686\pi\)
\(198\) 19.8249 + 1.46285i 1.40890 + 0.103960i
\(199\) −0.298707 0.721143i −0.0211748 0.0511205i 0.912938 0.408097i \(-0.133808\pi\)
−0.934113 + 0.356977i \(0.883808\pi\)
\(200\) 8.75649 + 10.4155i 0.619177 + 0.736489i
\(201\) 5.03637 7.35247i 0.355238 0.518603i
\(202\) 2.03321 3.14303i 0.143056 0.221143i
\(203\) −3.20964 0.210371i −0.225273 0.0147652i
\(204\) 12.3155 1.84982i 0.862260 0.129513i
\(205\) 0.806195 0.919290i 0.0563071 0.0642060i
\(206\) −8.06463 + 6.38082i −0.561889 + 0.444573i
\(207\) −4.19457 + 27.0280i −0.291543 + 1.87858i
\(208\) 11.2455 14.4745i 0.779735 1.00362i
\(209\) −9.80324 + 2.62677i −0.678105 + 0.181698i
\(210\) −0.183164 0.905076i −0.0126395 0.0624562i
\(211\) −21.2257 + 7.20515i −1.46124 + 0.496023i −0.935102 0.354378i \(-0.884693\pi\)
−0.526135 + 0.850401i \(0.676359\pi\)
\(212\) −9.95857 + 5.28456i −0.683957 + 0.362945i
\(213\) 9.63037 2.46177i 0.659862 0.168678i
\(214\) −6.85609 + 6.19526i −0.468672 + 0.423499i
\(215\) −1.64207 0.680166i −0.111988 0.0463869i
\(216\) 5.75954 + 13.5214i 0.391887 + 0.920013i
\(217\) 7.05836 2.92367i 0.479153 0.198472i
\(218\) −4.13735 1.96443i −0.280217 0.133048i
\(219\) −8.13338 4.82172i −0.549603 0.325822i
\(220\) −3.15766 + 2.57559i −0.212889 + 0.173646i
\(221\) 7.28625 14.7751i 0.490126 0.993878i
\(222\) −2.48672 + 12.7227i −0.166898 + 0.853892i
\(223\) 8.63940 + 4.98796i 0.578537 + 0.334018i 0.760552 0.649277i \(-0.224929\pi\)
−0.182015 + 0.983296i \(0.558262\pi\)
\(224\) −4.80136 + 0.999306i −0.320804 + 0.0667690i
\(225\) −5.82923 + 13.2032i −0.388616 + 0.880213i
\(226\) 12.2879 22.0330i 0.817377 1.46561i
\(227\) 0.662717 0.0434368i 0.0439861 0.00288300i −0.0433942 0.999058i \(-0.513817\pi\)
0.0873803 + 0.996175i \(0.472150\pi\)
\(228\) −5.04916 5.55050i −0.334389 0.367591i
\(229\) 3.11847 2.73482i 0.206074 0.180722i −0.550088 0.835107i \(-0.685406\pi\)
0.756162 + 0.654385i \(0.227072\pi\)
\(230\) −3.18382 4.61496i −0.209935 0.304302i
\(231\) −6.91596 + 1.29294i −0.455037 + 0.0850693i
\(232\) −6.56060 + 8.19022i −0.430725 + 0.537714i
\(233\) 4.18764 + 1.73458i 0.274341 + 0.113636i 0.515613 0.856822i \(-0.327564\pi\)
−0.241271 + 0.970458i \(0.577564\pi\)
\(234\) 19.0361 + 3.94916i 1.24443 + 0.258164i
\(235\) −4.14977 2.77279i −0.270701 0.180877i
\(236\) −6.62462 28.8025i −0.431226 1.87488i
\(237\) 21.7851 2.61284i 1.41509 0.169722i
\(238\) −4.04674 + 1.74711i −0.262311 + 0.113248i
\(239\) 6.33220 23.6321i 0.409596 1.52863i −0.385823 0.922573i \(-0.626082\pi\)
0.795419 0.606060i \(-0.207251\pi\)
\(240\) −2.76267 1.20154i −0.178330 0.0775588i
\(241\) 3.90912 + 14.5890i 0.251808 + 0.939761i 0.969838 + 0.243749i \(0.0783774\pi\)
−0.718030 + 0.696012i \(0.754956\pi\)
\(242\) 9.61188 + 12.1483i 0.617875 + 0.780923i
\(243\) −10.1866 + 11.7997i −0.653472 + 0.756951i
\(244\) 7.21866 15.8054i 0.462127 1.01184i
\(245\) −1.20172 2.43684i −0.0767748 0.155684i
\(246\) 1.76052 6.65891i 0.112247 0.424557i
\(247\) −9.84082 + 1.29557i −0.626157 + 0.0824351i
\(248\) 5.37172 24.3393i 0.341105 1.54555i
\(249\) −13.2772 + 11.3756i −0.841405 + 0.720897i
\(250\) −2.02401 5.68363i −0.128010 0.359465i
\(251\) −9.43241 + 1.87622i −0.595369 + 0.118426i −0.483571 0.875305i \(-0.660661\pi\)
−0.111797 + 0.993731i \(0.535661\pi\)
\(252\) −3.19401 4.10565i −0.201204 0.258632i
\(253\) −35.5191 + 23.7331i −2.23307 + 1.49209i
\(254\) −1.18861 + 4.71514i −0.0745802 + 0.295854i
\(255\) −2.64937 0.558831i −0.165910 0.0349954i
\(256\) −6.30015 + 14.7074i −0.393759 + 0.919214i
\(257\) 0.595395 + 1.03125i 0.0371397 + 0.0643278i 0.883998 0.467491i \(-0.154842\pi\)
−0.846858 + 0.531819i \(0.821509\pi\)
\(258\) −9.98838 + 0.688059i −0.621849 + 0.0428367i
\(259\) −0.300083 4.57838i −0.0186462 0.284486i
\(260\) −3.39054 + 2.09427i −0.210272 + 0.129881i
\(261\) −10.8636 2.42263i −0.672438 0.149957i
\(262\) 10.7761 12.6625i 0.665750 0.782293i
\(263\) −5.83410 0.768074i −0.359746 0.0473615i −0.0515130 0.998672i \(-0.516404\pi\)
−0.308233 + 0.951311i \(0.599738\pi\)
\(264\) −9.46656 + 20.9111i −0.582627 + 1.28699i
\(265\) 2.43018 0.319939i 0.149285 0.0196537i
\(266\) 2.22984 + 1.44247i 0.136720 + 0.0884435i
\(267\) 5.46609 + 21.3831i 0.334519 + 1.30863i
\(268\) 5.96894 + 8.38273i 0.364611 + 0.512057i
\(269\) −6.38295 1.26965i −0.389176 0.0774118i −0.00337563 0.999994i \(-0.501075\pi\)
−0.385800 + 0.922582i \(0.626075\pi\)
\(270\) −0.146017 3.19206i −0.00888630 0.194263i
\(271\) −8.73943 + 8.73943i −0.530883 + 0.530883i −0.920835 0.389952i \(-0.872491\pi\)
0.389952 + 0.920835i \(0.372491\pi\)
\(272\) −2.89015 + 14.0868i −0.175241 + 0.854141i
\(273\) −6.87096 + 0.370822i −0.415850 + 0.0224432i
\(274\) 3.86184 1.66728i 0.233302 0.100724i
\(275\) −21.3452 + 7.24572i −1.28716 + 0.436933i
\(276\) −27.6342 15.2914i −1.66339 0.920434i
\(277\) 1.66467 0.820925i 0.100020 0.0493246i −0.391590 0.920140i \(-0.628075\pi\)
0.491611 + 0.870815i \(0.336408\pi\)
\(278\) 7.23402 22.3989i 0.433868 1.34340i
\(279\) 25.6872 6.25164i 1.53785 0.374276i
\(280\) 1.05402 + 0.161207i 0.0629898 + 0.00963398i
\(281\) −0.342804 + 2.60385i −0.0204499 + 0.155333i −0.998623 0.0524587i \(-0.983294\pi\)
0.978173 + 0.207791i \(0.0666275\pi\)
\(282\) −27.8857 3.57687i −1.66057 0.212999i
\(283\) 15.4990 13.5922i 0.921318 0.807974i −0.0604281 0.998173i \(-0.519247\pi\)
0.981746 + 0.190199i \(0.0609132\pi\)
\(284\) −1.15933 + 11.4191i −0.0687937 + 0.677597i
\(285\) 0.606886 + 1.51432i 0.0359488 + 0.0897003i
\(286\) 15.5711 + 26.0676i 0.920741 + 1.54141i
\(287\) 2.43779i 0.143898i
\(288\) −16.9483 + 0.869114i −0.998688 + 0.0512130i
\(289\) 4.07548i 0.239734i
\(290\) 1.95873 1.17002i 0.115020 0.0687059i
\(291\) 13.2655 16.8812i 0.777636 0.989592i
\(292\) 8.46045 6.90087i 0.495110 0.403843i
\(293\) −23.3192 + 20.4504i −1.36232 + 1.19472i −0.402063 + 0.915612i \(0.631707\pi\)
−0.960259 + 0.279112i \(0.909960\pi\)
\(294\) −12.1735 9.27686i −0.709973 0.541037i
\(295\) −0.838725 + 6.37075i −0.0488324 + 0.370919i
\(296\) −12.8044 7.75334i −0.744243 0.450654i
\(297\) −24.3349 + 0.751013i −1.41205 + 0.0435782i
\(298\) −22.6743 7.32296i −1.31348 0.424208i
\(299\) −37.4700 + 18.4781i −2.16694 + 1.06862i
\(300\) −11.9967 11.5680i −0.692627 0.667880i
\(301\) 3.35554 1.13905i 0.193410 0.0656539i
\(302\) 3.14697 + 7.28916i 0.181088 + 0.419444i
\(303\) −2.07502 + 4.08818i −0.119207 + 0.234860i
\(304\) 8.02451 3.26751i 0.460237 0.187404i
\(305\) −2.67134 + 2.67134i −0.152960 + 0.152960i
\(306\) −14.7648 + 3.82664i −0.844045 + 0.218755i
\(307\) 32.3893 + 6.44264i 1.84856 + 0.367701i 0.989541 0.144249i \(-0.0460767\pi\)
0.859015 + 0.511950i \(0.171077\pi\)
\(308\) 1.34748 8.01170i 0.0767796 0.456509i
\(309\) 9.00800 8.80259i 0.512447 0.500762i
\(310\) −2.94345 + 4.55013i −0.167177 + 0.258430i
\(311\) 17.9527 2.36352i 1.01801 0.134023i 0.396992 0.917822i \(-0.370054\pi\)
0.621015 + 0.783799i \(0.286721\pi\)
\(312\) −11.8484 + 19.0676i −0.670786 + 1.07949i
\(313\) −22.9182 3.01724i −1.29541 0.170545i −0.548885 0.835898i \(-0.684948\pi\)
−0.746529 + 0.665353i \(0.768281\pi\)
\(314\) −2.13587 1.81768i −0.120534 0.102577i
\(315\) 0.338738 + 1.07904i 0.0190858 + 0.0607969i
\(316\) −5.82720 + 24.6563i −0.327806 + 1.38702i
\(317\) 0.806095 + 12.2986i 0.0452748 + 0.690760i 0.958819 + 0.284019i \(0.0916680\pi\)
−0.913544 + 0.406740i \(0.866665\pi\)
\(318\) 11.4550 7.70924i 0.642364 0.432313i
\(319\) −8.69191 15.0548i −0.486653 0.842908i
\(320\) 2.40081 2.51745i 0.134209 0.140730i
\(321\) 7.55963 8.42216i 0.421937 0.470079i
\(322\) 10.8391 + 2.73238i 0.604042 + 0.152269i
\(323\) 6.47478 4.32631i 0.360266 0.240722i
\(324\) −8.74299 15.7340i −0.485721 0.874114i
\(325\) −21.6219 + 4.30085i −1.19936 + 0.238568i
\(326\) 14.8071 5.27299i 0.820091 0.292044i
\(327\) 5.29053 + 1.86421i 0.292567 + 0.103091i
\(328\) 6.51923 + 4.55562i 0.359964 + 0.251542i
\(329\) 9.86543 1.29881i 0.543899 0.0716056i
\(330\) 3.51717 3.54065i 0.193614 0.194907i
\(331\) −9.19952 18.6548i −0.505651 1.02536i −0.988720 0.149777i \(-0.952144\pi\)
0.483068 0.875583i \(-0.339522\pi\)
\(332\) −7.05465 18.9160i −0.387174 1.03815i
\(333\) 1.40352 15.8148i 0.0769121 0.866644i
\(334\) 1.73620 1.37370i 0.0950005 0.0751654i
\(335\) −0.579080 2.16116i −0.0316385 0.118077i
\(336\) 5.72068 1.83065i 0.312089 0.0998699i
\(337\) 0.372509 1.39022i 0.0202918 0.0757302i −0.955037 0.296485i \(-0.904185\pi\)
0.975329 + 0.220755i \(0.0708521\pi\)
\(338\) 4.48342 + 10.3847i 0.243866 + 0.564854i
\(339\) −12.1524 + 28.4075i −0.660030 + 1.54288i
\(340\) 1.65900 2.65010i 0.0899719 0.143722i
\(341\) 34.3315 + 22.9395i 1.85915 + 1.24225i
\(342\) 6.85934 + 6.11577i 0.370910 + 0.330703i
\(343\) 10.6115 + 4.39542i 0.572966 + 0.237330i
\(344\) 3.22457 11.1021i 0.173857 0.598586i
\(345\) 4.46771 + 5.21455i 0.240533 + 0.280742i
\(346\) −16.7241 + 11.5378i −0.899091 + 0.620275i
\(347\) 3.81532 3.34594i 0.204817 0.179620i −0.550792 0.834642i \(-0.685674\pi\)
0.755609 + 0.655023i \(0.227341\pi\)
\(348\) 6.94483 10.8144i 0.372282 0.579712i
\(349\) −12.0351 + 0.788824i −0.644226 + 0.0422248i −0.384015 0.923327i \(-0.625459\pi\)
−0.260211 + 0.965552i \(0.583792\pi\)
\(350\) 5.15149 + 2.87301i 0.275359 + 0.153569i
\(351\) −23.6917 2.37824i −1.26457 0.126941i
\(352\) −18.9071 18.5753i −1.00775 0.990068i
\(353\) −4.99844 2.88585i −0.266040 0.153598i 0.361047 0.932548i \(-0.382420\pi\)
−0.627087 + 0.778949i \(0.715753\pi\)
\(354\) 11.7490 + 34.2369i 0.624455 + 1.81967i
\(355\) 1.10373 2.23813i 0.0585797 0.118788i
\(356\) −25.3547 2.57417i −1.34380 0.136431i
\(357\) 4.70597 2.64511i 0.249066 0.139994i
\(358\) −5.47632 + 11.5338i −0.289432 + 0.609582i
\(359\) 1.06335 0.440455i 0.0561216 0.0232463i −0.354446 0.935076i \(-0.615331\pi\)
0.410568 + 0.911830i \(0.365331\pi\)
\(360\) 3.51862 + 1.11058i 0.185448 + 0.0585329i
\(361\) 13.2190 + 5.47550i 0.695738 + 0.288184i
\(362\) −13.6184 15.0710i −0.715766 0.792114i
\(363\) −13.2600 13.5694i −0.695967 0.712208i
\(364\) 2.32928 7.59636i 0.122087 0.398157i
\(365\) −2.24779 + 0.763023i −0.117655 + 0.0399384i
\(366\) −6.77346 + 20.1743i −0.354054 + 1.05453i
\(367\) −21.5004 + 5.76102i −1.12231 + 0.300723i −0.771819 0.635843i \(-0.780653\pi\)
−0.350493 + 0.936565i \(0.613986\pi\)
\(368\) 27.5627 23.8803i 1.43680 1.24485i
\(369\) −1.29368 + 8.33590i −0.0673461 + 0.433950i
\(370\) 2.01938 + 2.55226i 0.104983 + 0.132686i
\(371\) −3.22220 + 3.67422i −0.167288 + 0.190756i
\(372\) −3.43346 + 30.3331i −0.178017 + 1.57270i
\(373\) 21.2113 + 1.39026i 1.09828 + 0.0719851i 0.603749 0.797175i \(-0.293673\pi\)
0.494531 + 0.869160i \(0.335340\pi\)
\(374\) −20.0017 12.9390i −1.03426 0.669058i
\(375\) 3.19152 + 6.66443i 0.164809 + 0.344150i
\(376\) 14.9627 28.8096i 0.771641 1.48574i
\(377\) −6.50611 15.7071i −0.335082 0.808959i
\(378\) 4.41505 + 4.59287i 0.227086 + 0.236232i
\(379\) 22.7022 4.51575i 1.16613 0.231958i 0.426194 0.904632i \(-0.359854\pi\)
0.739939 + 0.672673i \(0.234854\pi\)
\(380\) −1.88295 + 0.0559782i −0.0965930 + 0.00287162i
\(381\) 0.845392 5.89520i 0.0433107 0.302020i
\(382\) −17.0816 16.5814i −0.873973 0.848377i
\(383\) −12.6485 21.9079i −0.646309 1.11944i −0.983998 0.178182i \(-0.942979\pi\)
0.337689 0.941258i \(-0.390355\pi\)
\(384\) 5.79493 18.7195i 0.295721 0.955274i
\(385\) −0.883181 + 1.52971i −0.0450111 + 0.0779615i
\(386\) −3.82751 + 1.08679i −0.194815 + 0.0553160i
\(387\) 12.0786 2.11423i 0.613988 0.107472i
\(388\) 13.0280 + 21.0918i 0.661398 + 1.07078i
\(389\) 4.49457 13.2406i 0.227884 0.671324i −0.771500 0.636229i \(-0.780493\pi\)
0.999384 0.0350951i \(-0.0111734\pi\)
\(390\) 3.86233 2.98414i 0.195576 0.151108i
\(391\) 19.9533 26.0037i 1.00908 1.31506i
\(392\) 14.8963 9.50987i 0.752379 0.480321i
\(393\) −11.5082 + 16.8005i −0.580512 + 0.847474i
\(394\) 0.510314 10.0787i 0.0257093 0.507758i
\(395\) 3.06032 4.58009i 0.153981 0.230449i
\(396\) 8.85924 26.6805i 0.445193 1.34075i
\(397\) 2.48471 + 0.494240i 0.124704 + 0.0248052i 0.257048 0.966399i \(-0.417250\pi\)
−0.132344 + 0.991204i \(0.542250\pi\)
\(398\) −1.09217 + 0.160332i −0.0547456 + 0.00803671i
\(399\) −2.90038 1.47213i −0.145200 0.0736987i
\(400\) 17.3099 8.40739i 0.865497 0.420369i
\(401\) −5.49923 + 20.5234i −0.274618 + 1.02489i 0.681478 + 0.731838i \(0.261337\pi\)
−0.956097 + 0.293051i \(0.905329\pi\)
\(402\) −8.34153 9.44809i −0.416038 0.471228i
\(403\) 30.3604 + 26.6254i 1.51236 + 1.32631i
\(404\) −3.60723 3.87467i −0.179467 0.192772i
\(405\) 0.585679 + 3.86947i 0.0291026 + 0.192276i
\(406\) −1.39802 + 4.32871i −0.0693823 + 0.214830i
\(407\) 19.6728 15.0955i 0.975144 0.748255i
\(408\) 1.72064 17.5279i 0.0851841 0.867761i
\(409\) 0.939262 + 0.720721i 0.0464435 + 0.0356374i 0.631722 0.775195i \(-0.282348\pi\)
−0.585279 + 0.810832i \(0.699015\pi\)
\(410\) −0.981944 1.42333i −0.0484947 0.0702934i
\(411\) −4.49095 + 2.52425i −0.221522 + 0.124512i
\(412\) 5.96227 + 13.2649i 0.293740 + 0.653514i
\(413\) −7.11754 10.6522i −0.350231 0.524158i
\(414\) 35.6139 + 15.0953i 1.75033 + 0.741893i
\(415\) 4.38940i 0.215467i
\(416\) −15.9616 20.4247i −0.782584 1.00140i
\(417\) −5.94979 + 28.2075i −0.291362 + 1.38133i
\(418\) 0.213279 + 14.3514i 0.0104318 + 0.701948i
\(419\) 9.59243 19.4515i 0.468621 0.950269i −0.526365 0.850258i \(-0.676446\pi\)
0.994986 0.100011i \(-0.0318877\pi\)
\(420\) −1.30446 0.0616976i −0.0636511 0.00301053i
\(421\) 4.31632 + 1.46519i 0.210365 + 0.0714092i 0.424633 0.905366i \(-0.360403\pi\)
−0.214268 + 0.976775i \(0.568737\pi\)
\(422\) 2.54309 + 31.5978i 0.123796 + 1.53816i
\(423\) 34.4236 + 0.794134i 1.67373 + 0.0386121i
\(424\) 3.80424 + 15.4831i 0.184750 + 0.751927i
\(425\) 13.7215 10.5289i 0.665590 0.510726i
\(426\) −0.0467752 14.0573i −0.00226627 0.681076i
\(427\) 0.492620 7.51593i 0.0238395 0.363721i
\(428\) 6.12559 + 11.5435i 0.296091 + 0.557974i
\(429\) −22.2971 29.7626i −1.07651 1.43695i
\(430\) −1.50036 + 2.01666i −0.0723538 + 0.0972522i
\(431\) −14.1204 14.1204i −0.680155 0.680155i 0.279880 0.960035i \(-0.409705\pi\)
−0.960035 + 0.279880i \(0.909705\pi\)
\(432\) 20.5330 3.22397i 0.987897 0.155113i
\(433\) −24.8821 + 24.8821i −1.19576 + 1.19576i −0.220334 + 0.975424i \(0.570715\pi\)
−0.975424 + 0.220334i \(0.929285\pi\)
\(434\) −1.56929 10.6899i −0.0753282 0.513132i
\(435\) −2.23637 + 1.67541i −0.107226 + 0.0803296i
\(436\) −4.12408 + 4.99453i −0.197508 + 0.239195i
\(437\) −19.7061 1.29161i −0.942673 0.0617860i
\(438\) −9.42369 + 9.48661i −0.450281 + 0.453288i
\(439\) −19.9562 26.0074i −0.952457 1.24127i −0.970419 0.241428i \(-0.922384\pi\)
0.0179616 0.999839i \(-0.494282\pi\)
\(440\) 2.44038 + 5.22049i 0.116340 + 0.248877i
\(441\) 16.0133 + 9.74449i 0.762538 + 0.464023i
\(442\) −17.7425 15.0993i −0.843924 0.718199i
\(443\) 11.3518 33.4414i 0.539341 1.58885i −0.245661 0.969356i \(-0.579005\pi\)
0.785003 0.619492i \(-0.212662\pi\)
\(444\) 16.5872 + 7.80814i 0.787193 + 0.370558i
\(445\) 4.96952 + 2.45070i 0.235578 + 0.116174i
\(446\) 9.82657 10.1231i 0.465302 0.479340i
\(447\) 28.5543 + 6.02293i 1.35057 + 0.284875i
\(448\) −0.289401 + 6.92961i −0.0136729 + 0.327393i
\(449\) 37.8922 1.78824 0.894121 0.447826i \(-0.147801\pi\)
0.894121 + 0.447826i \(0.147801\pi\)
\(450\) 16.0906 + 12.5579i 0.758519 + 0.591984i
\(451\) −10.9547 + 7.31969i −0.515836 + 0.344671i
\(452\) −25.9664 24.4670i −1.22136 1.15083i
\(453\) −4.76447 8.47659i −0.223855 0.398265i
\(454\) 0.169527 0.923808i 0.00795629 0.0433565i
\(455\) −1.05163 + 1.37051i −0.0493013 + 0.0642507i
\(456\) −9.35690 + 5.00525i −0.438177 + 0.234392i
\(457\) 1.60749 + 2.09492i 0.0751950 + 0.0979961i 0.829436 0.558601i \(-0.188662\pi\)
−0.754241 + 0.656597i \(0.771995\pi\)
\(458\) −2.67229 5.22179i −0.124868 0.243998i
\(459\) 17.4955 6.54745i 0.816620 0.305609i
\(460\) −7.42916 + 2.77068i −0.346387 + 0.129184i
\(461\) 6.19764 7.06706i 0.288653 0.329146i −0.589280 0.807929i \(-0.700589\pi\)
0.877933 + 0.478783i \(0.158922\pi\)
\(462\) −0.617726 + 9.93091i −0.0287392 + 0.462028i
\(463\) 32.1899 + 8.62527i 1.49599 + 0.400850i 0.911756 0.410733i \(-0.134727\pi\)
0.584237 + 0.811583i \(0.301394\pi\)
\(464\) 8.96345 + 11.8279i 0.416118 + 0.549096i
\(465\) 3.00398 5.91841i 0.139306 0.274460i
\(466\) 3.82626 5.14295i 0.177248 0.238242i
\(467\) 1.91248 9.61468i 0.0884990 0.444914i −0.910974 0.412463i \(-0.864669\pi\)
0.999473 0.0324513i \(-0.0103314\pi\)
\(468\) 11.9960 24.7393i 0.554517 1.14357i
\(469\) 3.70901 + 2.47828i 0.171266 + 0.114436i
\(470\) −5.23688 + 4.73212i −0.241559 + 0.218277i
\(471\) 2.83385 + 1.94116i 0.130577 + 0.0894441i
\(472\) −41.7873 0.872200i −1.92342 0.0401463i
\(473\) 15.1939 + 11.6587i 0.698615 + 0.536066i
\(474\) 3.94778 30.7774i 0.181327 1.41365i
\(475\) −9.86773 3.34964i −0.452762 0.153692i
\(476\) 0.996931 + 6.15330i 0.0456943 + 0.282036i
\(477\) −12.9680 + 10.8538i −0.593762 + 0.496964i
\(478\) −30.2181 16.8527i −1.38214 0.770826i
\(479\) 5.46641 + 3.15603i 0.249767 + 0.144203i 0.619657 0.784872i \(-0.287272\pi\)
−0.369891 + 0.929075i \(0.620605\pi\)
\(480\) −2.60270 + 3.37314i −0.118797 + 0.153962i
\(481\) 21.0023 12.1257i 0.957623 0.552884i
\(482\) 21.3574 0.317399i 0.972805 0.0144571i
\(483\) −13.5519 1.94338i −0.616631 0.0884270i
\(484\) 19.9818 8.98139i 0.908266 0.408245i
\(485\) −1.05155 5.28648i −0.0477483 0.240047i
\(486\) 12.6597 + 18.0480i 0.574256 + 0.818676i
\(487\) −9.68115 + 4.01006i −0.438695 + 0.181713i −0.591089 0.806607i \(-0.701302\pi\)
0.152394 + 0.988320i \(0.451302\pi\)
\(488\) −19.1788 15.3628i −0.868183 0.695439i
\(489\) −17.3623 + 8.31461i −0.785151 + 0.376000i
\(490\) −3.75709 + 0.805547i −0.169728 + 0.0363909i
\(491\) −0.875656 + 13.3599i −0.0395178 + 0.602925i 0.931473 + 0.363810i \(0.118524\pi\)
−0.970991 + 0.239116i \(0.923142\pi\)
\(492\) −8.52287 4.71612i −0.384240 0.212619i
\(493\) 10.0282 + 8.79450i 0.451647 + 0.396084i
\(494\) −1.62521 + 13.9427i −0.0731215 + 0.627312i
\(495\) −3.83177 + 4.76210i −0.172225 + 0.214040i
\(496\) −31.5199 15.7801i −1.41529 0.708547i
\(497\) 1.28772 + 4.80583i 0.0577621 + 0.215571i
\(498\) 11.0097 + 22.1395i 0.493358 + 0.992095i
\(499\) −1.86213 5.48566i −0.0833604 0.245572i 0.897256 0.441512i \(-0.145558\pi\)
−0.980616 + 0.195940i \(0.937224\pi\)
\(500\) −8.49372 + 0.810798i −0.379851 + 0.0362600i
\(501\) −1.93929 + 1.89507i −0.0866412 + 0.0846654i
\(502\) −0.687766 + 13.5834i −0.0306965 + 0.606256i
\(503\) −4.54941 + 10.9832i −0.202848 + 0.489719i −0.992265 0.124139i \(-0.960383\pi\)
0.789417 + 0.613858i \(0.210383\pi\)
\(504\) −6.73426 + 2.96072i −0.299968 + 0.131881i
\(505\) 0.440466 + 1.06338i 0.0196005 + 0.0473197i
\(506\) 20.2671 + 56.9120i 0.900980 + 2.53005i
\(507\) −6.78785 12.0764i −0.301459 0.536333i
\(508\) 6.05505 + 3.25992i 0.268650 + 0.144636i
\(509\) 1.79930 + 0.887317i 0.0797526 + 0.0393296i 0.481728 0.876321i \(-0.340009\pi\)
−0.401975 + 0.915651i \(0.631676\pi\)
\(510\) −1.68219 + 3.43994i −0.0744884 + 0.152323i
\(511\) 2.36634 4.09863i 0.104681 0.181313i
\(512\) 17.9906 + 13.7236i 0.795080 + 0.606504i
\(513\) −9.13646 6.57303i −0.403385 0.290206i
\(514\) 1.61999 0.459982i 0.0714548 0.0202890i
\(515\) −0.206804 3.15521i −0.00911285 0.139035i
\(516\) −2.50930 + 13.9351i −0.110466 + 0.613457i
\(517\) 35.4583 + 40.4324i 1.55945 + 1.77822i
\(518\) −6.38212 1.17118i −0.280414 0.0514585i
\(519\) 18.8969 16.1904i 0.829481 0.710681i
\(520\) 1.69984 + 5.37346i 0.0745430 + 0.235642i
\(521\) 11.3884 27.4940i 0.498934 1.20453i −0.451125 0.892461i \(-0.648977\pi\)
0.950059 0.312072i \(-0.101023\pi\)
\(522\) −7.07758 + 14.0599i −0.309777 + 0.615385i
\(523\) 1.39686 2.09054i 0.0610803 0.0914131i −0.799672 0.600437i \(-0.794993\pi\)
0.860753 + 0.509024i \(0.169993\pi\)
\(524\) −13.6391 19.1547i −0.595828 0.836776i
\(525\) −6.64190 2.84134i −0.289876 0.124006i
\(526\) −3.07004 + 7.73487i −0.133860 + 0.337256i
\(527\) −30.6015 8.19964i −1.33302 0.357182i
\(528\) 25.4032 + 20.2103i 1.10553 + 0.879541i
\(529\) −58.0745 + 15.5610i −2.52498 + 0.676566i
\(530\) 0.401343 3.44314i 0.0174332 0.149560i
\(531\) −18.6852 40.2016i −0.810870 1.74460i
\(532\) 2.74890 2.55917i 0.119180 0.110954i
\(533\) −11.5564 + 5.69897i −0.500562 + 0.246850i
\(534\) 31.2125 0.103859i 1.35070 0.00449442i
\(535\) −0.370857 2.81694i −0.0160336 0.121787i
\(536\) 13.5587 5.28749i 0.585648 0.228385i
\(537\) 5.19692 14.7486i 0.224264 0.636449i
\(538\) −3.94759 + 8.31413i −0.170193 + 0.358448i
\(539\) 5.71160 + 28.7142i 0.246016 + 1.23681i
\(540\) −4.42779 0.903216i −0.190542 0.0388682i
\(541\) −4.65824 6.97155i −0.200273 0.299730i 0.717716 0.696336i \(-0.245188\pi\)
−0.917989 + 0.396606i \(0.870188\pi\)
\(542\) 8.96340 + 15.0056i 0.385011 + 0.644546i
\(543\) 18.5135 + 16.6175i 0.794491 + 0.713126i
\(544\) 18.3184 + 8.83294i 0.785395 + 0.378709i
\(545\) 1.21958 0.704128i 0.0522413 0.0301615i
\(546\) −1.86669 + 9.55044i −0.0798868 + 0.408721i
\(547\) 39.5051 2.58930i 1.68912 0.110711i 0.809725 0.586809i \(-0.199616\pi\)
0.879392 + 0.476099i \(0.157949\pi\)
\(548\) −0.951380 5.87215i −0.0406409 0.250846i
\(549\) 5.67301 25.4389i 0.242118 1.08571i
\(550\) 2.55741 + 31.7757i 0.109048 + 1.35492i
\(551\) 1.04896 7.96766i 0.0446873 0.339434i
\(552\) −30.5221 + 32.6092i −1.29911 + 1.38794i
\(553\) 1.43349 + 10.8884i 0.0609582 + 0.463023i
\(554\) −0.550291 2.56657i −0.0233796 0.109043i
\(555\) −2.78581 2.85082i −0.118251 0.121011i
\(556\) −28.2152 17.6631i −1.19659 0.749082i
\(557\) 1.51751 7.62905i 0.0642991 0.323253i −0.935227 0.354050i \(-0.884804\pi\)
0.999526 + 0.0307964i \(0.00980436\pi\)
\(558\) 0.306770 37.3863i 0.0129866 1.58269i
\(559\) 13.2441 + 13.2441i 0.560167 + 0.560167i
\(560\) 0.585427 1.38967i 0.0247388 0.0587241i
\(561\) 26.0164 + 13.2050i 1.09841 + 0.557516i
\(562\) 3.45219 + 1.37021i 0.145622 + 0.0577987i
\(563\) 10.1020 + 29.7595i 0.425748 + 1.25421i 0.922391 + 0.386258i \(0.126233\pi\)
−0.496643 + 0.867955i \(0.665434\pi\)
\(564\) −14.5447 + 37.0036i −0.612443 + 1.55813i
\(565\) 3.43083 + 6.95703i 0.144336 + 0.292684i
\(566\) −13.2814 25.9526i −0.558260 1.09087i
\(567\) −5.96460 5.03033i −0.250490 0.211254i
\(568\) 15.2584 + 5.53722i 0.640226 + 0.232337i
\(569\) −16.9801 2.23548i −0.711845 0.0937161i −0.234097 0.972213i \(-0.575213\pi\)
−0.477748 + 0.878497i \(0.658547\pi\)
\(570\) 2.28639 0.308753i 0.0957665 0.0129322i
\(571\) −17.4788 19.9307i −0.731465 0.834076i 0.259841 0.965651i \(-0.416330\pi\)
−0.991306 + 0.131575i \(0.957996\pi\)
\(572\) 41.1296 12.3417i 1.71971 0.516032i
\(573\) 22.9250 + 18.0148i 0.957705 + 0.752578i
\(574\) 3.34298 + 0.842711i 0.139533 + 0.0351741i
\(575\) −43.8620 −1.82917
\(576\) −4.66697 + 23.5419i −0.194457 + 0.980911i
\(577\) 3.83106 0.159489 0.0797445 0.996815i \(-0.474590\pi\)
0.0797445 + 0.996815i \(0.474590\pi\)
\(578\) −5.58877 1.40884i −0.232462 0.0586000i
\(579\) 4.52329 1.81278i 0.187982 0.0753366i
\(580\) −0.927358 3.09049i −0.0385065 0.128326i
\(581\) −5.77016 6.57961i −0.239387 0.272968i
\(582\) −18.5637 24.0267i −0.769490 0.995939i
\(583\) −26.1858 3.44742i −1.08450 0.142778i
\(584\) −6.53860 13.9875i −0.270569 0.578805i
\(585\) −4.32330 + 4.12832i −0.178746 + 0.170685i
\(586\) 19.9828 + 39.0473i 0.825480 + 1.61303i
\(587\) 2.07635 + 4.21042i 0.0857000 + 0.173782i 0.935504 0.353317i \(-0.114946\pi\)
−0.849804 + 0.527099i \(0.823280\pi\)
\(588\) −16.9297 + 13.4868i −0.698169 + 0.556186i
\(589\) 6.13567 + 18.0751i 0.252816 + 0.744772i
\(590\) 8.44635 + 3.35243i 0.347731 + 0.138018i
\(591\) 0.666075 + 12.3417i 0.0273987 + 0.507670i
\(592\) −15.0586 + 14.8787i −0.618904 + 0.611510i
\(593\) −3.49751 3.49751i −0.143626 0.143626i 0.631638 0.775264i \(-0.282383\pi\)
−0.775264 + 0.631638i \(0.782383\pi\)
\(594\) −7.38237 + 33.6304i −0.302902 + 1.37987i
\(595\) 0.264404 1.32925i 0.0108395 0.0544939i
\(596\) −17.8803 + 28.5621i −0.732404 + 1.16995i
\(597\) 1.30985 0.334832i 0.0536086 0.0137038i
\(598\) 12.3865 + 57.7707i 0.506520 + 2.36242i
\(599\) 3.23878 + 24.6010i 0.132333 + 1.00517i 0.920785 + 0.390071i \(0.127550\pi\)
−0.788452 + 0.615097i \(0.789117\pi\)
\(600\) −20.0105 + 12.4523i −0.816924 + 0.508362i
\(601\) 4.51920 34.3268i 0.184342 1.40022i −0.609833 0.792530i \(-0.708764\pi\)
0.794176 0.607688i \(-0.207903\pi\)
\(602\) −0.402034 4.99526i −0.0163857 0.203591i
\(603\) 11.3676 + 10.4426i 0.462925 + 0.425257i
\(604\) 11.0836 1.79571i 0.450985 0.0730666i
\(605\) −4.75292 + 0.311523i −0.193234 + 0.0126652i
\(606\) 4.88887 + 4.25873i 0.198597 + 0.172999i
\(607\) 38.0196 21.9506i 1.54317 0.890948i 0.544531 0.838741i \(-0.316708\pi\)
0.998636 0.0522072i \(-0.0166256\pi\)
\(608\) −1.70681 12.1337i −0.0692204 0.492085i
\(609\) 1.14983 5.45125i 0.0465934 0.220896i
\(610\) 2.73980 + 4.58669i 0.110931 + 0.185710i
\(611\) 29.2200 + 43.7308i 1.18211 + 1.76916i
\(612\) 0.143549 + 21.5699i 0.00580261 + 0.871913i
\(613\) 4.25621 + 21.3974i 0.171907 + 0.864232i 0.966416 + 0.256981i \(0.0827279\pi\)
−0.794510 + 0.607251i \(0.792272\pi\)
\(614\) 20.0314 42.1888i 0.808403 1.70260i
\(615\) 1.37792 + 1.60825i 0.0555629 + 0.0648511i
\(616\) −10.5207 4.61735i −0.423893 0.186038i
\(617\) −3.08522 23.4346i −0.124206 0.943441i −0.934137 0.356915i \(-0.883829\pi\)
0.809931 0.586526i \(-0.199505\pi\)
\(618\) −8.95716 15.3957i −0.360310 0.619307i
\(619\) 21.3470 10.5272i 0.858009 0.423123i 0.0405960 0.999176i \(-0.487074\pi\)
0.817413 + 0.576053i \(0.195408\pi\)
\(620\) 5.22215 + 5.60931i 0.209726 + 0.225275i
\(621\) −45.3085 13.8369i −1.81817 0.555257i
\(622\) 2.96489 25.4359i 0.118881 1.01989i
\(623\) −10.6708 + 2.85923i −0.427517 + 0.114553i
\(624\) 22.0518 + 22.8393i 0.882777 + 0.914305i
\(625\) −21.4431 5.74565i −0.857722 0.229826i
\(626\) −12.0601 + 30.3850i −0.482018 + 1.21443i
\(627\) −2.09334 17.4536i −0.0835998 0.697030i
\(628\) −3.23095 + 2.30060i −0.128929 + 0.0918041i
\(629\) −10.5704 + 15.8197i −0.421469 + 0.630773i
\(630\) 1.59680 0.0915080i 0.0636179 0.00364577i
\(631\) 1.19806 2.89237i 0.0476940 0.115144i −0.898237 0.439511i \(-0.855152\pi\)
0.945931 + 0.324368i \(0.105152\pi\)
\(632\) 31.7971 + 16.5143i 1.26482 + 0.656902i
\(633\) −7.13462 38.1632i −0.283576 1.51685i
\(634\) 17.1439 + 3.14606i 0.680872 + 0.124946i
\(635\) −0.985824 1.12412i −0.0391212 0.0446092i
\(636\) −6.61195 18.3734i −0.262181 0.728552i
\(637\) 1.87265 + 28.5712i 0.0741973 + 1.13203i
\(638\) −23.6496 + 6.71508i −0.936295 + 0.265853i
\(639\) 1.85295 + 17.1166i 0.0733015 + 0.677124i
\(640\) −2.62228 4.16251i −0.103655 0.164537i
\(641\) −19.2143 + 33.2801i −0.758918 + 1.31449i 0.184484 + 0.982835i \(0.440939\pi\)
−0.943403 + 0.331650i \(0.892395\pi\)
\(642\) −8.93616 13.2780i −0.352682 0.524043i
\(643\) 17.8006 + 8.77831i 0.701989 + 0.346183i 0.758006 0.652247i \(-0.226174\pi\)
−0.0560175 + 0.998430i \(0.517840\pi\)
\(644\) 7.49389 13.9193i 0.295301 0.548498i
\(645\) 1.56988 2.64811i 0.0618141 0.104269i
\(646\) −3.69448 10.3745i −0.145358 0.408179i
\(647\) 4.97290 + 12.0057i 0.195505 + 0.471991i 0.990982 0.133992i \(-0.0427798\pi\)
−0.795477 + 0.605983i \(0.792780\pi\)
\(648\) −24.5986 + 6.55033i −0.966326 + 0.257321i
\(649\) 26.4965 63.9681i 1.04008 2.51097i
\(650\) −1.57656 + 31.1371i −0.0618378 + 1.22130i
\(651\) 3.27725 + 12.8205i 0.128445 + 0.502474i
\(652\) −2.11231 22.1280i −0.0827243 0.866600i
\(653\) 1.46540 + 4.31692i 0.0573454 + 0.168934i 0.971828 0.235691i \(-0.0757353\pi\)
−0.914483 + 0.404625i \(0.867402\pi\)
\(654\) 4.38528 6.61055i 0.171478 0.258493i
\(655\) 1.32321 + 4.93828i 0.0517020 + 0.192955i
\(656\) 8.50079 7.36510i 0.331900 0.287559i
\(657\) 10.2666 12.7593i 0.400539 0.497787i
\(658\) 1.62927 13.9776i 0.0635156 0.544903i
\(659\) 1.63238 + 1.43156i 0.0635886 + 0.0557657i 0.690550 0.723284i \(-0.257368\pi\)
−0.626962 + 0.779050i \(0.715702\pi\)
\(660\) −3.63951 6.04710i −0.141668 0.235383i
\(661\) 1.88511 28.7612i 0.0733223 1.11868i −0.789692 0.613503i \(-0.789760\pi\)
0.863015 0.505179i \(-0.168573\pi\)
\(662\) −28.7617 + 6.16672i −1.11786 + 0.239676i
\(663\) 23.5406 + 16.1251i 0.914240 + 0.626246i
\(664\) −28.3784 + 3.13515i −1.10130 + 0.121667i
\(665\) −0.754418 + 0.312490i −0.0292551 + 0.0121179i
\(666\) −21.2018 7.39161i −0.821554 0.286419i
\(667\) −6.59914 33.1761i −0.255520 1.28458i
\(668\) −1.28359 2.85574i −0.0496636 0.110492i
\(669\) −10.6761 + 13.5860i −0.412760 + 0.525264i
\(670\) −3.16380 + 0.0470181i −0.122228 + 0.00181647i
\(671\) 35.2534 20.3536i 1.36094 0.785741i
\(672\) −0.532828 8.47768i −0.0205543 0.327033i
\(673\) −7.67358 4.43034i −0.295795 0.170777i 0.344757 0.938692i \(-0.387961\pi\)
−0.640552 + 0.767915i \(0.721294\pi\)
\(674\) −1.77766 0.991407i −0.0684728 0.0381876i
\(675\) −21.2038 13.2405i −0.816135 0.509628i
\(676\) 15.7906 2.55832i 0.607329 0.0983968i
\(677\) −30.0323 10.1946i −1.15424 0.391811i −0.322276 0.946646i \(-0.604448\pi\)
−0.831960 + 0.554835i \(0.812781\pi\)
\(678\) 34.7546 + 26.4849i 1.33474 + 1.01715i
\(679\) 8.52567 + 6.54198i 0.327185 + 0.251058i
\(680\) −3.06062 3.19111i −0.117370 0.122374i
\(681\) −0.0884673 + 1.14692i −0.00339007 + 0.0439499i
\(682\) 43.3252 39.1493i 1.65901 1.49910i
\(683\) −5.07279 3.38953i −0.194105 0.129697i 0.454720 0.890634i \(-0.349739\pi\)
−0.648825 + 0.760938i \(0.724739\pi\)
\(684\) 10.7578 7.29216i 0.411335 0.278823i
\(685\) −0.252323 + 1.26851i −0.00964077 + 0.0484674i
\(686\) 9.69574 13.0322i 0.370185 0.497573i
\(687\) 3.92216 + 6.01905i 0.149640 + 0.229641i
\(688\) −14.1098 8.25974i −0.537931 0.314900i
\(689\) −24.9504 6.68543i −0.950534 0.254695i
\(690\) 8.69520 4.32403i 0.331021 0.164613i
\(691\) 11.9350 13.6093i 0.454030 0.517721i −0.478856 0.877893i \(-0.658949\pi\)
0.932886 + 0.360172i \(0.117282\pi\)
\(692\) 10.0406 + 26.9224i 0.381687 + 1.02344i
\(693\) −0.516356 12.1754i −0.0196148 0.462505i
\(694\) −3.26944 6.38864i −0.124106 0.242510i
\(695\) 4.40586 + 5.74183i 0.167124 + 0.217800i
\(696\) −12.4292 13.2619i −0.471127 0.502692i
\(697\) 6.15394 8.01997i 0.233097 0.303778i
\(698\) −3.07866 + 16.7766i −0.116529 + 0.635005i
\(699\) −4.00355 + 6.75328i −0.151428 + 0.255432i
\(700\) 5.72060 6.07115i 0.216218 0.229468i
\(701\) −6.93188 + 4.63173i −0.261813 + 0.174938i −0.679548 0.733631i \(-0.737824\pi\)
0.417735 + 0.908569i \(0.362824\pi\)
\(702\) −11.4512 + 31.6666i −0.432198 + 1.19518i
\(703\) 11.4635 0.432353
\(704\) −32.0085 + 19.5063i −1.20637 + 0.735172i
\(705\) 5.77427 6.43310i 0.217472 0.242284i
\(706\) −5.68530 + 5.85683i −0.213969 + 0.220425i
\(707\) −2.05813 1.01496i −0.0774039 0.0381714i
\(708\) 51.0110 4.27641i 1.91711 0.160717i
\(709\) 6.25301 18.4208i 0.234837 0.691806i −0.764074 0.645129i \(-0.776804\pi\)
0.998910 0.0466769i \(-0.0148631\pi\)
\(710\) −2.68764 2.28725i −0.100865 0.0858388i
\(711\) −0.876482 + 37.9931i −0.0328707 + 1.42485i
\(712\) −12.2948 + 33.8794i −0.460766 + 1.26969i
\(713\) 48.9102 + 63.7410i 1.83170 + 2.38712i
\(714\) −2.00048 7.36774i −0.0748660 0.275731i
\(715\) −9.31629 0.610622i −0.348409 0.0228360i
\(716\) 13.9234 + 11.4968i 0.520343 + 0.429657i
\(717\) 38.9606 + 16.6670i 1.45501 + 0.622440i
\(718\) −0.236416 1.61045i −0.00882295 0.0601014i
\(719\) 2.04834 2.04834i 0.0763903 0.0763903i −0.667879 0.744270i \(-0.732798\pi\)
0.744270 + 0.667879i \(0.232798\pi\)
\(720\) 2.73930 4.44122i 0.102088 0.165514i
\(721\) 4.45773 + 4.45773i 0.166015 + 0.166015i
\(722\) 12.0783 16.2346i 0.449506 0.604190i
\(723\) −25.9742 + 3.11527i −0.965990 + 0.115858i
\(724\) −25.3747 + 13.4652i −0.943045 + 0.500431i
\(725\) 1.16739 17.8110i 0.0433559 0.661483i
\(726\) −23.1917 + 13.4928i −0.860724 + 0.500765i
\(727\) 2.70386 2.07474i 0.100281 0.0769480i −0.557404 0.830241i \(-0.688203\pi\)
0.657685 + 0.753293i \(0.271536\pi\)
\(728\) −9.61179 5.82013i −0.356237 0.215708i
\(729\) −17.7262 20.3662i −0.656525 0.754305i
\(730\) 0.269312 + 3.34619i 0.00996769 + 0.123848i
\(731\) −13.9147 4.72339i −0.514652 0.174701i
\(732\) 25.3237 + 16.2625i 0.935992 + 0.601079i
\(733\) 9.60582 19.4787i 0.354799 0.719461i −0.644169 0.764883i \(-0.722797\pi\)
0.998968 + 0.0454222i \(0.0144633\pi\)
\(734\) 0.467763 + 31.4753i 0.0172654 + 1.16177i
\(735\) 4.47345 1.46122i 0.165006 0.0538978i
\(736\) −23.2194 46.0522i −0.855878 1.69751i
\(737\) 24.1084i 0.888046i
\(738\) 10.9839 + 4.65564i 0.404324 + 0.171377i
\(739\) 21.6030 + 32.3311i 0.794677 + 1.18932i 0.978477 + 0.206355i \(0.0661602\pi\)
−0.183800 + 0.982964i \(0.558840\pi\)
\(740\) 4.19803 1.88692i 0.154323 0.0693645i
\(741\) 0.198264 17.1907i 0.00728342 0.631518i
\(742\) 3.92463 + 5.68878i 0.144078 + 0.208842i
\(743\) 28.0095 + 21.4925i 1.02757 + 0.788482i 0.977643 0.210271i \(-0.0674347\pi\)
0.0499264 + 0.998753i \(0.484101\pi\)
\(744\) 40.4094 + 15.1941i 1.48148 + 0.557043i
\(745\) 5.81242 4.46003i 0.212951 0.163403i
\(746\) 9.23894 28.6068i 0.338262 1.04737i
\(747\) −16.2391 25.5607i −0.594158 0.935217i
\(748\) −24.6577 + 22.9557i −0.901574 + 0.839345i
\(749\) 4.25896 + 3.73501i 0.155619 + 0.136474i
\(750\) 10.2423 2.07277i 0.373996 0.0756869i
\(751\) −5.78959 + 21.6070i −0.211265 + 0.788452i 0.776183 + 0.630508i \(0.217153\pi\)
−0.987448 + 0.157944i \(0.949513\pi\)
\(752\) −34.3347 30.4776i −1.25206 1.11140i
\(753\) −0.897689 16.6333i −0.0327136 0.606150i
\(754\) −23.7885 + 3.49217i −0.866326 + 0.127177i
\(755\) −2.39430 0.476256i −0.0871375 0.0173327i
\(756\) 7.82449 4.46673i 0.284574 0.162453i
\(757\) −8.29565 + 12.4153i −0.301510 + 0.451242i −0.951028 0.309104i \(-0.899971\pi\)
0.649518 + 0.760346i \(0.274971\pi\)
\(758\) 1.65533 32.6929i 0.0601244 1.18746i
\(759\) −31.9577 66.7331i −1.15999 2.42226i
\(760\) −0.574145 + 2.60146i −0.0208264 + 0.0943648i
\(761\) 10.9142 14.2236i 0.395639 0.515606i −0.552479 0.833527i \(-0.686318\pi\)
0.948117 + 0.317921i \(0.102985\pi\)
\(762\) −7.79193 3.19719i −0.282272 0.115822i
\(763\) −0.902506 + 2.65870i −0.0326729 + 0.0962513i
\(764\) −28.6432 + 17.6923i −1.03627 + 0.640086i
\(765\) 1.60952 4.40498i 0.0581922 0.159263i
\(766\) −34.4150 + 9.77182i −1.24346 + 0.353070i
\(767\) 33.8575 58.6429i 1.22252 2.11747i
\(768\) −23.6670 14.4177i −0.854011 0.520255i
\(769\) −13.6247 23.5987i −0.491319 0.850990i 0.508631 0.860985i \(-0.330152\pi\)
−0.999950 + 0.00999508i \(0.996818\pi\)
\(770\) 1.79241 + 1.73992i 0.0645941 + 0.0627024i
\(771\) −1.91448 + 0.767260i −0.0689485 + 0.0276322i
\(772\) 0.167208 + 5.62440i 0.00601796 + 0.202427i