Properties

Label 370.2.r.f.23.3
Level $370$
Weight $2$
Character 370.23
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.r (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) \(=\) 370.23
Dual form 370.2.r.f.177.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.69391 - 0.453882i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.12773 - 1.93086i) q^{5} +(1.24003 + 1.24003i) q^{6} +(4.67400 + 1.25240i) q^{7} -1.00000i q^{8} +(0.0652541 + 0.0376745i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.69391 - 0.453882i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.12773 - 1.93086i) q^{5} +(1.24003 + 1.24003i) q^{6} +(4.67400 + 1.25240i) q^{7} -1.00000i q^{8} +(0.0652541 + 0.0376745i) q^{9} +(0.0112097 + 2.23604i) q^{10} +1.80443i q^{11} +(-0.453882 - 1.69391i) q^{12} +(2.26519 - 1.30781i) q^{13} +(-3.42161 - 3.42161i) q^{14} +(1.03389 + 3.78257i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.73957 - 3.01303i) q^{17} +(-0.0376745 - 0.0652541i) q^{18} +(-6.17174 - 1.65371i) q^{19} +(1.10831 - 1.94207i) q^{20} +(-7.34891 - 4.24290i) q^{21} +(0.902215 - 1.56268i) q^{22} -8.37956i q^{23} +(-0.453882 + 1.69391i) q^{24} +(-2.45646 + 4.35497i) q^{25} -2.61562 q^{26} +(3.62666 + 3.62666i) q^{27} +(1.25240 + 4.67400i) q^{28} +(-5.16438 - 5.16438i) q^{29} +(0.995911 - 3.79274i) q^{30} +(6.16219 - 6.16219i) q^{31} +(0.866025 - 0.500000i) q^{32} +(0.818999 - 3.05655i) q^{33} +(-3.01303 + 1.73957i) q^{34} +(-2.85280 - 10.4372i) q^{35} +0.0753490i q^{36} +(-5.65776 - 2.23377i) q^{37} +(4.51803 + 4.51803i) q^{38} +(-4.43063 + 1.18718i) q^{39} +(-1.93086 + 1.12773i) q^{40} +(-2.24339 + 1.29522i) q^{41} +(4.24290 + 7.34891i) q^{42} -1.35953i q^{43} +(-1.56268 + 0.902215i) q^{44} +(-0.000844640 - 0.168483i) q^{45} +(-4.18978 + 7.25691i) q^{46} +(-0.101997 + 0.101997i) q^{47} +(1.24003 - 1.24003i) q^{48} +(14.2156 + 8.20741i) q^{49} +(4.30484 - 2.54329i) q^{50} +(-4.31425 + 4.31425i) q^{51} +(2.26519 + 1.30781i) q^{52} +(2.60711 - 0.698572i) q^{53} +(-1.32745 - 4.95410i) q^{54} +(3.48411 - 2.03491i) q^{55} +(1.25240 - 4.67400i) q^{56} +(9.70379 + 5.60249i) q^{57} +(1.89029 + 7.05467i) q^{58} +(2.77785 + 10.3671i) q^{59} +(-2.75886 + 2.78666i) q^{60} +(-5.11419 - 1.37034i) q^{61} +(-8.41771 + 2.25552i) q^{62} +(0.257815 + 0.257815i) q^{63} -1.00000 q^{64} +(-5.07972 - 2.89892i) q^{65} +(-2.23755 + 2.23755i) q^{66} +(2.55168 - 9.52300i) q^{67} +3.47915 q^{68} +(-3.80333 + 14.1942i) q^{69} +(-2.74801 + 10.4653i) q^{70} +(-5.81858 - 10.0781i) q^{71} +(0.0376745 - 0.0652541i) q^{72} +(-3.21316 + 3.21316i) q^{73} +(3.78288 + 4.76338i) q^{74} +(6.13767 - 6.26200i) q^{75} +(-1.65371 - 6.17174i) q^{76} +(-2.25986 + 8.43391i) q^{77} +(4.43063 + 1.18718i) q^{78} +(13.7202 + 3.67632i) q^{79} +(2.23604 - 0.0112097i) q^{80} +(-4.61018 - 7.98507i) q^{81} +2.59045 q^{82} +(15.6267 - 4.18715i) q^{83} -8.48579i q^{84} +(-7.77951 + 0.0390002i) q^{85} +(-0.679767 + 1.17739i) q^{86} +(6.40399 + 11.0920i) q^{87} +1.80443 q^{88} +(-3.75933 + 1.00731i) q^{89} +(-0.0835102 + 0.146333i) q^{90} +(12.2254 - 3.27579i) q^{91} +(7.25691 - 4.18978i) q^{92} +(-13.2351 + 7.64130i) q^{93} +(0.139331 - 0.0373337i) q^{94} +(3.76695 + 13.7817i) q^{95} +(-1.69391 + 0.453882i) q^{96} +4.12874 q^{97} +(-8.20741 - 14.2156i) q^{98} +(-0.0679810 + 0.117746i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 10 q^{3} + 16 q^{4} + 6 q^{5} + 8 q^{6} + 2 q^{7} - 12 q^{9} + O(q^{10}) \) \( 32 q - 10 q^{3} + 16 q^{4} + 6 q^{5} + 8 q^{6} + 2 q^{7} - 12 q^{9} + 6 q^{10} - 2 q^{12} + 12 q^{13} + 8 q^{14} - 8 q^{15} - 16 q^{16} - 6 q^{17} - 24 q^{18} - 2 q^{19} + 6 q^{20} - 54 q^{21} + 12 q^{22} - 2 q^{24} - 14 q^{25} + 20 q^{26} - 40 q^{27} + 10 q^{28} - 6 q^{29} - 8 q^{30} - 4 q^{31} - 22 q^{33} + 12 q^{34} + 24 q^{37} - 26 q^{38} + 58 q^{39} + 18 q^{41} - 2 q^{42} - 6 q^{44} - 18 q^{45} + 6 q^{46} + 18 q^{47} + 8 q^{48} + 12 q^{49} + 24 q^{50} - 4 q^{51} + 12 q^{52} - 20 q^{54} + 42 q^{55} + 10 q^{56} + 36 q^{57} + 30 q^{58} - 42 q^{59} - 16 q^{60} - 46 q^{61} - 10 q^{62} - 32 q^{64} - 18 q^{65} + 4 q^{66} + 46 q^{67} - 12 q^{68} + 66 q^{69} + 12 q^{70} - 12 q^{71} + 24 q^{72} + 28 q^{73} - 16 q^{74} - 20 q^{75} - 28 q^{76} + 24 q^{77} - 58 q^{78} - 38 q^{79} + 56 q^{81} - 48 q^{82} + 12 q^{83} + 8 q^{85} - 16 q^{86} - 2 q^{87} + 24 q^{88} - 18 q^{89} + 52 q^{90} + 4 q^{91} - 12 q^{92} + 36 q^{93} - 30 q^{94} + 30 q^{95} - 10 q^{96} - 12 q^{97} - 16 q^{98} + 26 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.69391 0.453882i −0.977981 0.262049i −0.265787 0.964032i \(-0.585632\pi\)
−0.712194 + 0.701983i \(0.752298\pi\)
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.12773 1.93086i −0.504335 0.863508i
\(6\) 1.24003 + 1.24003i 0.506240 + 0.506240i
\(7\) 4.67400 + 1.25240i 1.76661 + 0.473361i 0.988040 0.154199i \(-0.0492798\pi\)
0.778568 + 0.627561i \(0.215946\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.0652541 + 0.0376745i 0.0217514 + 0.0125582i
\(10\) 0.0112097 + 2.23604i 0.00354482 + 0.707098i
\(11\) 1.80443i 0.544056i 0.962289 + 0.272028i \(0.0876943\pi\)
−0.962289 + 0.272028i \(0.912306\pi\)
\(12\) −0.453882 1.69391i −0.131025 0.488990i
\(13\) 2.26519 1.30781i 0.628251 0.362721i −0.151823 0.988408i \(-0.548514\pi\)
0.780074 + 0.625687i \(0.215181\pi\)
\(14\) −3.42161 3.42161i −0.914463 0.914463i
\(15\) 1.03389 + 3.78257i 0.266949 + 0.976655i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.73957 3.01303i 0.421909 0.730767i −0.574217 0.818703i \(-0.694694\pi\)
0.996126 + 0.0879355i \(0.0280269\pi\)
\(18\) −0.0376745 0.0652541i −0.00887996 0.0153805i
\(19\) −6.17174 1.65371i −1.41589 0.379388i −0.531869 0.846827i \(-0.678510\pi\)
−0.884025 + 0.467439i \(0.845177\pi\)
\(20\) 1.10831 1.94207i 0.247826 0.434261i
\(21\) −7.34891 4.24290i −1.60366 0.925876i
\(22\) 0.902215 1.56268i 0.192353 0.333165i
\(23\) 8.37956i 1.74726i −0.486592 0.873629i \(-0.661760\pi\)
0.486592 0.873629i \(-0.338240\pi\)
\(24\) −0.453882 + 1.69391i −0.0926484 + 0.345768i
\(25\) −2.45646 + 4.35497i −0.491292 + 0.870995i
\(26\) −2.61562 −0.512965
\(27\) 3.62666 + 3.62666i 0.697950 + 0.697950i
\(28\) 1.25240 + 4.67400i 0.236681 + 0.883304i
\(29\) −5.16438 5.16438i −0.959001 0.959001i 0.0401907 0.999192i \(-0.487203\pi\)
−0.999192 + 0.0401907i \(0.987203\pi\)
\(30\) 0.995911 3.79274i 0.181828 0.692457i
\(31\) 6.16219 6.16219i 1.10676 1.10676i 0.113188 0.993574i \(-0.463894\pi\)
0.993574 0.113188i \(-0.0361064\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 0.818999 3.05655i 0.142569 0.532076i
\(34\) −3.01303 + 1.73957i −0.516731 + 0.298335i
\(35\) −2.85280 10.4372i −0.482211 1.76421i
\(36\) 0.0753490i 0.0125582i
\(37\) −5.65776 2.23377i −0.930130 0.367230i
\(38\) 4.51803 + 4.51803i 0.732921 + 0.732921i
\(39\) −4.43063 + 1.18718i −0.709468 + 0.190101i
\(40\) −1.93086 + 1.12773i −0.305296 + 0.178309i
\(41\) −2.24339 + 1.29522i −0.350359 + 0.202280i −0.664844 0.746983i \(-0.731502\pi\)
0.314484 + 0.949263i \(0.398168\pi\)
\(42\) 4.24290 + 7.34891i 0.654693 + 1.13396i
\(43\) 1.35953i 0.207327i −0.994612 0.103663i \(-0.966944\pi\)
0.994612 0.103663i \(-0.0330565\pi\)
\(44\) −1.56268 + 0.902215i −0.235583 + 0.136014i
\(45\) −0.000844640 0.168483i −0.000125911 0.0251160i
\(46\) −4.18978 + 7.25691i −0.617749 + 1.06997i
\(47\) −0.101997 + 0.101997i −0.0148779 + 0.0148779i −0.714507 0.699629i \(-0.753349\pi\)
0.699629 + 0.714507i \(0.253349\pi\)
\(48\) 1.24003 1.24003i 0.178983 0.178983i
\(49\) 14.2156 + 8.20741i 2.03081 + 1.17249i
\(50\) 4.30484 2.54329i 0.608797 0.359675i
\(51\) −4.31425 + 4.31425i −0.604116 + 0.604116i
\(52\) 2.26519 + 1.30781i 0.314126 + 0.181360i
\(53\) 2.60711 0.698572i 0.358114 0.0959563i −0.0752764 0.997163i \(-0.523984\pi\)
0.433390 + 0.901206i \(0.357317\pi\)
\(54\) −1.32745 4.95410i −0.180643 0.674168i
\(55\) 3.48411 2.03491i 0.469797 0.274387i
\(56\) 1.25240 4.67400i 0.167358 0.624590i
\(57\) 9.70379 + 5.60249i 1.28530 + 0.742068i
\(58\) 1.89029 + 7.05467i 0.248208 + 0.926324i
\(59\) 2.77785 + 10.3671i 0.361645 + 1.34968i 0.871912 + 0.489663i \(0.162880\pi\)
−0.510267 + 0.860016i \(0.670453\pi\)
\(60\) −2.75886 + 2.78666i −0.356167 + 0.359756i
\(61\) −5.11419 1.37034i −0.654805 0.175454i −0.0839046 0.996474i \(-0.526739\pi\)
−0.570900 + 0.821019i \(0.693406\pi\)
\(62\) −8.41771 + 2.25552i −1.06905 + 0.286451i
\(63\) 0.257815 + 0.257815i 0.0324816 + 0.0324816i
\(64\) −1.00000 −0.125000
\(65\) −5.07972 2.89892i −0.630062 0.359567i
\(66\) −2.23755 + 2.23755i −0.275423 + 0.275423i
\(67\) 2.55168 9.52300i 0.311737 1.16342i −0.615252 0.788331i \(-0.710946\pi\)
0.926989 0.375088i \(-0.122388\pi\)
\(68\) 3.47915 0.421909
\(69\) −3.80333 + 14.1942i −0.457868 + 1.70879i
\(70\) −2.74801 + 10.4653i −0.328450 + 1.25084i
\(71\) −5.81858 10.0781i −0.690538 1.19605i −0.971662 0.236375i \(-0.924041\pi\)
0.281124 0.959671i \(-0.409293\pi\)
\(72\) 0.0376745 0.0652541i 0.00443998 0.00769027i
\(73\) −3.21316 + 3.21316i −0.376072 + 0.376072i −0.869683 0.493611i \(-0.835677\pi\)
0.493611 + 0.869683i \(0.335677\pi\)
\(74\) 3.78288 + 4.76338i 0.439751 + 0.553732i
\(75\) 6.13767 6.26200i 0.708718 0.723074i
\(76\) −1.65371 6.17174i −0.189694 0.707947i
\(77\) −2.25986 + 8.43391i −0.257535 + 0.961134i
\(78\) 4.43063 + 1.18718i 0.501670 + 0.134422i
\(79\) 13.7202 + 3.67632i 1.54364 + 0.413618i 0.927441 0.373969i \(-0.122003\pi\)
0.616203 + 0.787587i \(0.288670\pi\)
\(80\) 2.23604 0.0112097i 0.249997 0.00125328i
\(81\) −4.61018 7.98507i −0.512243 0.887230i
\(82\) 2.59045 0.286067
\(83\) 15.6267 4.18715i 1.71525 0.459600i 0.738547 0.674201i \(-0.235512\pi\)
0.976702 + 0.214602i \(0.0688454\pi\)
\(84\) 8.48579i 0.925876i
\(85\) −7.77951 + 0.0390002i −0.843807 + 0.00423017i
\(86\) −0.679767 + 1.17739i −0.0733011 + 0.126961i
\(87\) 6.40399 + 11.0920i 0.686579 + 1.18919i
\(88\) 1.80443 0.192353
\(89\) −3.75933 + 1.00731i −0.398489 + 0.106775i −0.452497 0.891766i \(-0.649467\pi\)
0.0540087 + 0.998540i \(0.482800\pi\)
\(90\) −0.0835102 + 0.146333i −0.00880274 + 0.0154249i
\(91\) 12.2254 3.27579i 1.28157 0.343396i
\(92\) 7.25691 4.18978i 0.756585 0.436815i
\(93\) −13.2351 + 7.64130i −1.37242 + 0.792366i
\(94\) 0.139331 0.0373337i 0.0143709 0.00385067i
\(95\) 3.76695 + 13.7817i 0.386481 + 1.41397i
\(96\) −1.69391 + 0.453882i −0.172884 + 0.0463242i
\(97\) 4.12874 0.419210 0.209605 0.977786i \(-0.432782\pi\)
0.209605 + 0.977786i \(0.432782\pi\)
\(98\) −8.20741 14.2156i −0.829073 1.43600i
\(99\) −0.0679810 + 0.117746i −0.00683234 + 0.0118340i
\(100\) −4.99975 + 0.0501307i −0.499975 + 0.00501307i
\(101\) 8.73904i 0.869567i 0.900535 + 0.434783i \(0.143175\pi\)
−0.900535 + 0.434783i \(0.856825\pi\)
\(102\) 5.89337 1.57912i 0.583531 0.156357i
\(103\) −1.19613 −0.117858 −0.0589289 0.998262i \(-0.518769\pi\)
−0.0589289 + 0.998262i \(0.518769\pi\)
\(104\) −1.30781 2.26519i −0.128241 0.222120i
\(105\) 0.0951233 + 18.9746i 0.00928308 + 1.85173i
\(106\) −2.60711 0.698572i −0.253225 0.0678513i
\(107\) 1.33196 + 0.356896i 0.128765 + 0.0345025i 0.322626 0.946527i \(-0.395434\pi\)
−0.193861 + 0.981029i \(0.562101\pi\)
\(108\) −1.32745 + 4.95410i −0.127734 + 0.476709i
\(109\) −0.635304 2.37099i −0.0608511 0.227099i 0.928803 0.370574i \(-0.120839\pi\)
−0.989654 + 0.143475i \(0.954172\pi\)
\(110\) −4.03478 + 0.0202271i −0.384701 + 0.00192858i
\(111\) 8.56988 + 6.35177i 0.813417 + 0.602883i
\(112\) −3.42161 + 3.42161i −0.323312 + 0.323312i
\(113\) −4.20588 + 7.28479i −0.395656 + 0.685296i −0.993185 0.116552i \(-0.962816\pi\)
0.597529 + 0.801847i \(0.296149\pi\)
\(114\) −5.60249 9.70379i −0.524721 0.908844i
\(115\) −16.1798 + 9.44986i −1.50877 + 0.881204i
\(116\) 1.89029 7.05467i 0.175509 0.655010i
\(117\) 0.197084 0.0182204
\(118\) 2.77785 10.3671i 0.255722 0.954367i
\(119\) 11.9043 11.9043i 1.09126 1.09126i
\(120\) 3.78257 1.03389i 0.345300 0.0943806i
\(121\) 7.74403 0.704003
\(122\) 3.74385 + 3.74385i 0.338952 + 0.338952i
\(123\) 4.38799 1.17576i 0.395652 0.106015i
\(124\) 8.41771 + 2.25552i 0.755932 + 0.202551i
\(125\) 11.1791 0.168140i 0.999887 0.0150389i
\(126\) −0.0943667 0.352181i −0.00840685 0.0313748i
\(127\) −2.71856 10.1458i −0.241233 0.900294i −0.975239 0.221151i \(-0.929018\pi\)
0.734006 0.679142i \(-0.237648\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.617069 + 2.30293i −0.0543299 + 0.202762i
\(130\) 2.94971 + 5.05040i 0.258706 + 0.442949i
\(131\) 3.08960 + 11.5306i 0.269940 + 1.00743i 0.959157 + 0.282875i \(0.0912880\pi\)
−0.689217 + 0.724555i \(0.742045\pi\)
\(132\) 3.05655 0.818999i 0.266038 0.0712847i
\(133\) −26.7756 15.4589i −2.32174 1.34046i
\(134\) −6.97132 + 6.97132i −0.602230 + 0.602230i
\(135\) 2.91269 11.0925i 0.250685 0.954686i
\(136\) −3.01303 1.73957i −0.258365 0.149167i
\(137\) −3.06772 + 3.06772i −0.262093 + 0.262093i −0.825904 0.563811i \(-0.809335\pi\)
0.563811 + 0.825904i \(0.309335\pi\)
\(138\) 10.3909 10.3909i 0.884532 0.884532i
\(139\) −4.71138 + 8.16035i −0.399614 + 0.692152i −0.993678 0.112266i \(-0.964189\pi\)
0.594064 + 0.804418i \(0.297523\pi\)
\(140\) 7.61250 7.68921i 0.643374 0.649857i
\(141\) 0.219070 0.126480i 0.0184490 0.0106515i
\(142\) 11.6372i 0.976568i
\(143\) 2.35985 + 4.08738i 0.197341 + 0.341804i
\(144\) −0.0652541 + 0.0376745i −0.00543784 + 0.00313954i
\(145\) −4.14769 + 15.7957i −0.344447 + 1.31176i
\(146\) 4.38926 1.17610i 0.363258 0.0973346i
\(147\) −20.3549 20.3549i −1.67884 1.67884i
\(148\) −0.894379 6.01665i −0.0735175 0.494566i
\(149\) 13.1713i 1.07904i −0.841974 0.539518i \(-0.818606\pi\)
0.841974 0.539518i \(-0.181394\pi\)
\(150\) −8.44638 + 2.35422i −0.689644 + 0.192221i
\(151\) 9.11356 5.26172i 0.741651 0.428192i −0.0810182 0.996713i \(-0.525817\pi\)
0.822669 + 0.568520i \(0.192484\pi\)
\(152\) −1.65371 + 6.17174i −0.134134 + 0.500594i
\(153\) 0.227029 0.131075i 0.0183542 0.0105968i
\(154\) 6.17405 6.17405i 0.497519 0.497519i
\(155\) −18.8476 4.94907i −1.51388 0.397519i
\(156\) −3.24344 3.24344i −0.259683 0.259683i
\(157\) 0.798519 + 2.98011i 0.0637287 + 0.237839i 0.990442 0.137931i \(-0.0440451\pi\)
−0.926713 + 0.375770i \(0.877378\pi\)
\(158\) −10.0439 10.0439i −0.799049 0.799049i
\(159\) −4.73328 −0.375374
\(160\) −1.94207 1.10831i −0.153534 0.0876198i
\(161\) 10.4945 39.1661i 0.827084 3.08672i
\(162\) 9.22037i 0.724421i
\(163\) −4.61624 + 7.99556i −0.361572 + 0.626260i −0.988220 0.153042i \(-0.951093\pi\)
0.626648 + 0.779302i \(0.284426\pi\)
\(164\) −2.24339 1.29522i −0.175180 0.101140i
\(165\) −6.82538 + 1.86558i −0.531355 + 0.145235i
\(166\) −15.6267 4.18715i −1.21286 0.324986i
\(167\) −3.00485 5.20455i −0.232522 0.402740i 0.726028 0.687666i \(-0.241364\pi\)
−0.958550 + 0.284926i \(0.908031\pi\)
\(168\) −4.24290 + 7.34891i −0.327347 + 0.566981i
\(169\) −3.07927 + 5.33346i −0.236867 + 0.410266i
\(170\) 6.75676 + 3.85598i 0.518220 + 0.295740i
\(171\) −0.340429 0.340429i −0.0260332 0.0260332i
\(172\) 1.17739 0.679767i 0.0897752 0.0518317i
\(173\) −0.101856 0.380133i −0.00774399 0.0289010i 0.961946 0.273241i \(-0.0880955\pi\)
−0.969690 + 0.244340i \(0.921429\pi\)
\(174\) 12.8080i 0.970970i
\(175\) −16.9357 + 17.2787i −1.28022 + 1.30615i
\(176\) −1.56268 0.902215i −0.117792 0.0680070i
\(177\) 18.8217i 1.41473i
\(178\) 3.75933 + 1.00731i 0.281774 + 0.0755011i
\(179\) −6.13609 6.13609i −0.458633 0.458633i 0.439573 0.898207i \(-0.355130\pi\)
−0.898207 + 0.439573i \(0.855130\pi\)
\(180\) 0.145488 0.0849731i 0.0108441 0.00633352i
\(181\) −3.50429 6.06961i −0.260472 0.451151i 0.705896 0.708316i \(-0.250545\pi\)
−0.966367 + 0.257165i \(0.917211\pi\)
\(182\) −12.2254 3.27579i −0.906208 0.242818i
\(183\) 8.04102 + 4.64248i 0.594409 + 0.343182i
\(184\) −8.37956 −0.617749
\(185\) 2.06731 + 13.4434i 0.151992 + 0.988382i
\(186\) 15.2826 1.12057
\(187\) 5.43680 + 3.13894i 0.397578 + 0.229542i
\(188\) −0.139331 0.0373337i −0.0101618 0.00272284i
\(189\) 12.4090 + 21.4930i 0.902622 + 1.56339i
\(190\) 3.62858 13.8188i 0.263245 1.00252i
\(191\) 5.41763 + 5.41763i 0.392006 + 0.392006i 0.875402 0.483396i \(-0.160597\pi\)
−0.483396 + 0.875402i \(0.660597\pi\)
\(192\) 1.69391 + 0.453882i 0.122248 + 0.0327561i
\(193\) 9.91460i 0.713668i 0.934168 + 0.356834i \(0.116144\pi\)
−0.934168 + 0.356834i \(0.883856\pi\)
\(194\) −3.57559 2.06437i −0.256713 0.148213i
\(195\) 7.28883 + 7.21611i 0.521964 + 0.516757i
\(196\) 16.4148i 1.17249i
\(197\) 1.93074 + 7.20563i 0.137560 + 0.513380i 0.999974 + 0.00717713i \(0.00228457\pi\)
−0.862415 + 0.506203i \(0.831049\pi\)
\(198\) 0.117746 0.0679810i 0.00836788 0.00483120i
\(199\) −6.16248 6.16248i −0.436847 0.436847i 0.454103 0.890949i \(-0.349960\pi\)
−0.890949 + 0.454103i \(0.849960\pi\)
\(200\) 4.35497 + 2.45646i 0.307943 + 0.173698i
\(201\) −8.64464 + 14.9730i −0.609746 + 1.05611i
\(202\) 4.36952 7.56823i 0.307438 0.532499i
\(203\) −17.6705 30.6062i −1.24023 2.14813i
\(204\) −5.89337 1.57912i −0.412619 0.110561i
\(205\) 5.03084 + 2.87103i 0.351369 + 0.200521i
\(206\) 1.03587 + 0.598063i 0.0721728 + 0.0416690i
\(207\) 0.315695 0.546801i 0.0219424 0.0380053i
\(208\) 2.61562i 0.181360i
\(209\) 2.98401 11.1365i 0.206408 0.770326i
\(210\) 9.40491 16.4800i 0.649000 1.13723i
\(211\) 3.61934 0.249166 0.124583 0.992209i \(-0.460241\pi\)
0.124583 + 0.992209i \(0.460241\pi\)
\(212\) 1.90853 + 1.90853i 0.131079 + 0.131079i
\(213\) 5.28190 + 19.7123i 0.361910 + 1.35067i
\(214\) −0.975059 0.975059i −0.0666537 0.0666537i
\(215\) −2.62507 + 1.53318i −0.179028 + 0.104562i
\(216\) 3.62666 3.62666i 0.246763 0.246763i
\(217\) 36.5196 21.0846i 2.47911 1.43132i
\(218\) −0.635304 + 2.37099i −0.0430282 + 0.160583i
\(219\) 6.90121 3.98442i 0.466341 0.269242i
\(220\) 3.50433 + 1.99987i 0.236262 + 0.134831i
\(221\) 9.10012i 0.612140i
\(222\) −4.24585 9.78574i −0.284963 0.656776i
\(223\) 2.55180 + 2.55180i 0.170881 + 0.170881i 0.787366 0.616485i \(-0.211444\pi\)
−0.616485 + 0.787366i \(0.711444\pi\)
\(224\) 4.67400 1.25240i 0.312295 0.0836792i
\(225\) −0.324366 + 0.191634i −0.0216244 + 0.0127756i
\(226\) 7.28479 4.20588i 0.484577 0.279771i
\(227\) 6.22565 + 10.7831i 0.413211 + 0.715703i 0.995239 0.0974662i \(-0.0310738\pi\)
−0.582028 + 0.813169i \(0.697740\pi\)
\(228\) 11.2050i 0.742068i
\(229\) 15.5682 8.98833i 1.02878 0.593965i 0.112144 0.993692i \(-0.464228\pi\)
0.916634 + 0.399727i \(0.130895\pi\)
\(230\) 18.7370 0.0939324i 1.23548 0.00619372i
\(231\) 7.65601 13.2606i 0.503729 0.872483i
\(232\) −5.16438 + 5.16438i −0.339058 + 0.339058i
\(233\) 9.77692 9.77692i 0.640507 0.640507i −0.310173 0.950680i \(-0.600387\pi\)
0.950680 + 0.310173i \(0.100387\pi\)
\(234\) −0.170680 0.0985420i −0.0111577 0.00644189i
\(235\) 0.311968 + 0.0819177i 0.0203506 + 0.00534372i
\(236\) −7.58923 + 7.58923i −0.494017 + 0.494017i
\(237\) −21.5722 12.4547i −1.40127 0.809021i
\(238\) −16.2616 + 4.35727i −1.05408 + 0.282440i
\(239\) 7.64800 + 28.5427i 0.494708 + 1.84627i 0.531661 + 0.846957i \(0.321568\pi\)
−0.0369533 + 0.999317i \(0.511765\pi\)
\(240\) −3.79274 0.995911i −0.244821 0.0642858i
\(241\) −2.75650 + 10.2874i −0.177562 + 0.662669i 0.818539 + 0.574450i \(0.194784\pi\)
−0.996101 + 0.0882189i \(0.971883\pi\)
\(242\) −6.70653 3.87202i −0.431112 0.248903i
\(243\) 0.202621 + 0.756190i 0.0129981 + 0.0485096i
\(244\) −1.37034 5.11419i −0.0877272 0.327403i
\(245\) −0.184005 36.7042i −0.0117557 2.34494i
\(246\) −4.38799 1.17576i −0.279768 0.0749637i
\(247\) −16.1429 + 4.32548i −1.02715 + 0.275224i
\(248\) −6.16219 6.16219i −0.391299 0.391299i
\(249\) −28.3707 −1.79792
\(250\) −9.76543 5.44392i −0.617620 0.344304i
\(251\) −18.6677 + 18.6677i −1.17829 + 1.17829i −0.198116 + 0.980179i \(0.563482\pi\)
−0.980179 + 0.198116i \(0.936518\pi\)
\(252\) −0.0943667 + 0.352181i −0.00594454 + 0.0221853i
\(253\) 15.1203 0.950607
\(254\) −2.71856 + 10.1458i −0.170578 + 0.636604i
\(255\) 13.1955 + 3.46492i 0.826335 + 0.216982i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −7.11154 + 12.3176i −0.443606 + 0.768348i −0.997954 0.0639371i \(-0.979634\pi\)
0.554348 + 0.832285i \(0.312968\pi\)
\(258\) 1.68586 1.68586i 0.104957 0.104957i
\(259\) −23.6468 17.5264i −1.46934 1.08904i
\(260\) −0.0293203 5.84863i −0.00181837 0.362716i
\(261\) −0.142432 0.531562i −0.00881630 0.0329029i
\(262\) 3.08960 11.5306i 0.190876 0.712360i
\(263\) 19.1098 + 5.12046i 1.17836 + 0.315741i 0.794276 0.607557i \(-0.207850\pi\)
0.384085 + 0.923298i \(0.374517\pi\)
\(264\) −3.05655 0.818999i −0.188117 0.0504059i
\(265\) −4.28895 4.24617i −0.263468 0.260840i
\(266\) 15.4589 + 26.7756i 0.947847 + 1.64172i
\(267\) 6.82518 0.417694
\(268\) 9.52300 2.55168i 0.581710 0.155869i
\(269\) 3.15145i 0.192147i 0.995374 + 0.0960736i \(0.0306284\pi\)
−0.995374 + 0.0960736i \(0.969372\pi\)
\(270\) −8.06869 + 8.15000i −0.491045 + 0.495993i
\(271\) −6.30478 + 10.9202i −0.382988 + 0.663355i −0.991488 0.130199i \(-0.958438\pi\)
0.608500 + 0.793554i \(0.291772\pi\)
\(272\) 1.73957 + 3.01303i 0.105477 + 0.182692i
\(273\) −22.1956 −1.34334
\(274\) 4.19059 1.12287i 0.253163 0.0678348i
\(275\) −7.85825 4.43251i −0.473870 0.267290i
\(276\) −14.1942 + 3.80333i −0.854393 + 0.228934i
\(277\) 2.84940 1.64510i 0.171204 0.0988448i −0.411949 0.911207i \(-0.635152\pi\)
0.583154 + 0.812362i \(0.301819\pi\)
\(278\) 8.16035 4.71138i 0.489425 0.282570i
\(279\) 0.634265 0.169951i 0.0379725 0.0101747i
\(280\) −10.4372 + 2.85280i −0.623743 + 0.170487i
\(281\) 0.778302 0.208545i 0.0464296 0.0124408i −0.235529 0.971867i \(-0.575682\pi\)
0.281959 + 0.959426i \(0.409016\pi\)
\(282\) −0.252960 −0.0150635
\(283\) 6.15205 + 10.6557i 0.365701 + 0.633413i 0.988888 0.148660i \(-0.0474959\pi\)
−0.623187 + 0.782073i \(0.714163\pi\)
\(284\) 5.81858 10.0781i 0.345269 0.598023i
\(285\) −0.125604 25.0548i −0.00744017 1.48412i
\(286\) 4.71970i 0.279082i
\(287\) −12.1078 + 3.24427i −0.714699 + 0.191503i
\(288\) 0.0753490 0.00443998
\(289\) 2.44776 + 4.23965i 0.143986 + 0.249391i
\(290\) 11.4899 11.6057i 0.674708 0.681507i
\(291\) −6.99372 1.87396i −0.409979 0.109854i
\(292\) −4.38926 1.17610i −0.256862 0.0688260i
\(293\) 3.10467 11.5868i 0.181377 0.676907i −0.814000 0.580864i \(-0.802715\pi\)
0.995377 0.0960429i \(-0.0306186\pi\)
\(294\) 7.45039 + 27.8053i 0.434516 + 1.62164i
\(295\) 16.8847 17.0549i 0.983068 0.992974i
\(296\) −2.23377 + 5.65776i −0.129835 + 0.328851i
\(297\) −6.54404 + 6.54404i −0.379724 + 0.379724i
\(298\) −6.58566 + 11.4067i −0.381497 + 0.660772i
\(299\) −10.9589 18.9813i −0.633767 1.09772i
\(300\) 8.49189 + 2.18438i 0.490280 + 0.126115i
\(301\) 1.70267 6.35447i 0.0981405 0.366265i
\(302\) −10.5234 −0.605556
\(303\) 3.96650 14.8032i 0.227869 0.850420i
\(304\) 4.51803 4.51803i 0.259127 0.259127i
\(305\) 3.12147 + 11.4202i 0.178735 + 0.653917i
\(306\) −0.262150 −0.0149861
\(307\) 19.1278 + 19.1278i 1.09168 + 1.09168i 0.995349 + 0.0963307i \(0.0307106\pi\)
0.0963307 + 0.995349i \(0.469289\pi\)
\(308\) −8.43391 + 2.25986i −0.480567 + 0.128767i
\(309\) 2.02613 + 0.542900i 0.115263 + 0.0308845i
\(310\) 13.8480 + 13.7098i 0.786512 + 0.778666i
\(311\) 3.57605 + 13.3460i 0.202779 + 0.756782i 0.990115 + 0.140258i \(0.0447931\pi\)
−0.787336 + 0.616524i \(0.788540\pi\)
\(312\) 1.18718 + 4.43063i 0.0672110 + 0.250835i
\(313\) −3.31696 1.91505i −0.187486 0.108245i 0.403319 0.915059i \(-0.367856\pi\)
−0.590805 + 0.806814i \(0.701190\pi\)
\(314\) 0.798519 2.98011i 0.0450630 0.168178i
\(315\) 0.207060 0.788549i 0.0116665 0.0444297i
\(316\) 3.67632 + 13.7202i 0.206809 + 0.771822i
\(317\) 7.49692 2.00879i 0.421069 0.112825i −0.0420620 0.999115i \(-0.513393\pi\)
0.463131 + 0.886290i \(0.346726\pi\)
\(318\) 4.09914 + 2.36664i 0.229868 + 0.132715i
\(319\) 9.31876 9.31876i 0.521750 0.521750i
\(320\) 1.12773 + 1.93086i 0.0630419 + 0.107938i
\(321\) −2.09423 1.20910i −0.116888 0.0674855i
\(322\) −28.6716 + 28.6716i −1.59780 + 1.59780i
\(323\) −15.7189 + 15.7189i −0.874622 + 0.874622i
\(324\) 4.61018 7.98507i 0.256121 0.443615i
\(325\) 0.131123 + 13.0774i 0.00727338 + 0.725405i
\(326\) 7.99556 4.61624i 0.442833 0.255670i
\(327\) 4.30460i 0.238045i
\(328\) 1.29522 + 2.24339i 0.0715168 + 0.123871i
\(329\) −0.604478 + 0.348995i −0.0333259 + 0.0192407i
\(330\) 6.84374 + 1.79705i 0.376735 + 0.0989244i
\(331\) 3.24978 0.870777i 0.178624 0.0478622i −0.168398 0.985719i \(-0.553859\pi\)
0.347022 + 0.937857i \(0.387193\pi\)
\(332\) 11.4395 + 11.4395i 0.627825 + 0.627825i
\(333\) −0.285036 0.358916i −0.0156199 0.0196685i
\(334\) 6.00969i 0.328836i
\(335\) −21.2652 + 5.81241i −1.16184 + 0.317566i
\(336\) 7.34891 4.24290i 0.400916 0.231469i
\(337\) 0.742087 2.76951i 0.0404240 0.150865i −0.942764 0.333461i \(-0.891783\pi\)
0.983188 + 0.182596i \(0.0584501\pi\)
\(338\) 5.33346 3.07927i 0.290102 0.167490i
\(339\) 10.4308 10.4308i 0.566525 0.566525i
\(340\) −3.92353 6.71776i −0.212783 0.364322i
\(341\) 11.1192 + 11.1192i 0.602141 + 0.602141i
\(342\) 0.124606 + 0.465034i 0.00673789 + 0.0251462i
\(343\) 32.2138 + 32.2138i 1.73938 + 1.73938i
\(344\) −1.35953 −0.0733011
\(345\) 31.6962 8.66352i 1.70647 0.466428i
\(346\) −0.101856 + 0.380133i −0.00547583 + 0.0204361i
\(347\) 13.5539i 0.727613i −0.931474 0.363807i \(-0.881477\pi\)
0.931474 0.363807i \(-0.118523\pi\)
\(348\) −6.40399 + 11.0920i −0.343290 + 0.594595i
\(349\) 0.794285 + 0.458581i 0.0425171 + 0.0245473i 0.521108 0.853491i \(-0.325519\pi\)
−0.478591 + 0.878038i \(0.658852\pi\)
\(350\) 23.3061 6.49597i 1.24576 0.347224i
\(351\) 12.9580 + 3.47210i 0.691649 + 0.185327i
\(352\) 0.902215 + 1.56268i 0.0480882 + 0.0832912i
\(353\) 6.70307 11.6101i 0.356768 0.617941i −0.630651 0.776067i \(-0.717212\pi\)
0.987419 + 0.158126i \(0.0505452\pi\)
\(354\) −9.41087 + 16.3001i −0.500182 + 0.866341i
\(355\) −12.8976 + 22.6002i −0.684533 + 1.19949i
\(356\) −2.75202 2.75202i −0.145857 0.145857i
\(357\) −25.5680 + 14.7617i −1.35320 + 0.781270i
\(358\) 2.24597 + 8.38206i 0.118703 + 0.443006i
\(359\) 16.4314i 0.867219i 0.901101 + 0.433609i \(0.142760\pi\)
−0.901101 + 0.433609i \(0.857240\pi\)
\(360\) −0.168483 0.000844640i −0.00887985 4.45164e-5i
\(361\) 18.9011 + 10.9126i 0.994795 + 0.574345i
\(362\) 7.00858i 0.368363i
\(363\) −13.1177 3.51488i −0.688501 0.184483i
\(364\) 8.94962 + 8.94962i 0.469088 + 0.469088i
\(365\) 9.82774 + 2.58060i 0.514408 + 0.135075i
\(366\) −4.64248 8.04102i −0.242666 0.420311i
\(367\) 21.7636 + 5.83154i 1.13605 + 0.304404i 0.777362 0.629054i \(-0.216557\pi\)
0.358688 + 0.933457i \(0.383224\pi\)
\(368\) 7.25691 + 4.18978i 0.378293 + 0.218407i
\(369\) −0.195188 −0.0101611
\(370\) 4.93138 12.6760i 0.256370 0.658995i
\(371\) 13.0605 0.678068
\(372\) −13.2351 7.64130i −0.686209 0.396183i
\(373\) 1.52720 + 0.409211i 0.0790752 + 0.0211881i 0.298140 0.954522i \(-0.403634\pi\)
−0.219065 + 0.975710i \(0.570301\pi\)
\(374\) −3.13894 5.43680i −0.162311 0.281130i
\(375\) −19.0127 4.78917i −0.981811 0.247312i
\(376\) 0.101997 + 0.101997i 0.00526012 + 0.00526012i
\(377\) −18.4523 4.94429i −0.950343 0.254644i
\(378\) 24.8180i 1.27650i
\(379\) 2.59270 + 1.49690i 0.133178 + 0.0768904i 0.565109 0.825016i \(-0.308834\pi\)
−0.431931 + 0.901907i \(0.642167\pi\)
\(380\) −10.0518 + 10.1531i −0.515649 + 0.520845i
\(381\) 18.4200i 0.943685i
\(382\) −1.98299 7.40061i −0.101459 0.378648i
\(383\) 1.85538 1.07120i 0.0948053 0.0547358i −0.451848 0.892095i \(-0.649235\pi\)
0.546653 + 0.837359i \(0.315902\pi\)
\(384\) −1.24003 1.24003i −0.0632800 0.0632800i
\(385\) 18.8332 5.14768i 0.959830 0.262350i
\(386\) 4.95730 8.58629i 0.252320 0.437031i
\(387\) 0.0512197 0.0887152i 0.00260364 0.00450965i
\(388\) 2.06437 + 3.57559i 0.104802 + 0.181523i
\(389\) 11.7125 + 3.13836i 0.593848 + 0.159121i 0.543211 0.839596i \(-0.317208\pi\)
0.0506365 + 0.998717i \(0.483875\pi\)
\(390\) −2.70425 9.89375i −0.136935 0.500990i
\(391\) −25.2479 14.5769i −1.27684 0.737184i
\(392\) 8.20741 14.2156i 0.414537 0.717998i
\(393\) 20.9341i 1.05598i
\(394\) 1.93074 7.20563i 0.0972694 0.363014i
\(395\) −8.37420 30.6377i −0.421351 1.54155i
\(396\) −0.135962 −0.00683234
\(397\) −15.5183 15.5183i −0.778843 0.778843i 0.200791 0.979634i \(-0.435649\pi\)
−0.979634 + 0.200791i \(0.935649\pi\)
\(398\) 2.25562 + 8.41810i 0.113064 + 0.421961i
\(399\) 38.3390 + 38.3390i 1.91935 + 1.91935i
\(400\) −2.54329 4.30484i −0.127164 0.215242i
\(401\) −13.6332 + 13.6332i −0.680808 + 0.680808i −0.960182 0.279375i \(-0.909873\pi\)
0.279375 + 0.960182i \(0.409873\pi\)
\(402\) 14.9730 8.64464i 0.746783 0.431156i
\(403\) 5.89957 22.0175i 0.293879 1.09677i
\(404\) −7.56823 + 4.36952i −0.376534 + 0.217392i
\(405\) −10.2190 + 17.9066i −0.507789 + 0.889787i
\(406\) 35.3410i 1.75394i
\(407\) 4.03068 10.2090i 0.199793 0.506043i
\(408\) 4.31425 + 4.31425i 0.213587 + 0.213587i
\(409\) −24.9978 + 6.69813i −1.23606 + 0.331201i −0.816936 0.576728i \(-0.804329\pi\)
−0.419124 + 0.907929i \(0.637663\pi\)
\(410\) −2.92132 5.00180i −0.144274 0.247021i
\(411\) 6.58884 3.80407i 0.325004 0.187641i
\(412\) −0.598063 1.03587i −0.0294644 0.0510339i
\(413\) 51.9347i 2.55554i
\(414\) −0.546801 + 0.315695i −0.0268738 + 0.0155156i
\(415\) −25.7074 25.4510i −1.26193 1.24934i
\(416\) 1.30781 2.26519i 0.0641206 0.111060i
\(417\) 11.6845 11.6845i 0.572193 0.572193i
\(418\) −8.15246 + 8.15246i −0.398750 + 0.398750i
\(419\) 12.8156 + 7.39907i 0.626081 + 0.361468i 0.779233 0.626735i \(-0.215609\pi\)
−0.153152 + 0.988203i \(0.548942\pi\)
\(420\) −16.3849 + 9.56967i −0.799501 + 0.466952i
\(421\) 8.16156 8.16156i 0.397770 0.397770i −0.479676 0.877446i \(-0.659246\pi\)
0.877446 + 0.479676i \(0.159246\pi\)
\(422\) −3.13444 1.80967i −0.152582 0.0880935i
\(423\) −0.0104985 + 0.00281305i −0.000510452 + 0.000136775i
\(424\) −0.698572 2.60711i −0.0339257 0.126612i
\(425\) 8.84848 + 14.9772i 0.429214 + 0.726500i
\(426\) 5.28190 19.7123i 0.255909 0.955065i
\(427\) −22.1875 12.8100i −1.07373 0.619918i
\(428\) 0.356896 + 1.33196i 0.0172512 + 0.0643825i
\(429\) −2.14219 7.99476i −0.103426 0.385991i
\(430\) 3.03997 0.0152400i 0.146600 0.000734937i
\(431\) −3.05539 0.818691i −0.147173 0.0394349i 0.184480 0.982836i \(-0.440940\pi\)
−0.331653 + 0.943401i \(0.607606\pi\)
\(432\) −4.95410 + 1.32745i −0.238354 + 0.0638669i
\(433\) −18.4572 18.4572i −0.886996 0.886996i 0.107237 0.994233i \(-0.465800\pi\)
−0.994233 + 0.107237i \(0.965800\pi\)
\(434\) −42.1692 −2.02419
\(435\) 14.1952 24.8740i 0.680609 1.19262i
\(436\) 1.73568 1.73568i 0.0831241 0.0831241i
\(437\) −13.8574 + 51.7164i −0.662888 + 2.47393i
\(438\) −7.96883 −0.380766
\(439\) 6.74905 25.1878i 0.322115 1.20215i −0.595066 0.803677i \(-0.702874\pi\)
0.917181 0.398472i \(-0.130459\pi\)
\(440\) −2.03491 3.48411i −0.0970103 0.166098i
\(441\) 0.618419 + 1.07113i 0.0294485 + 0.0510064i
\(442\) −4.55006 + 7.88094i −0.216424 + 0.374858i
\(443\) 6.81050 6.81050i 0.323577 0.323577i −0.526561 0.850137i \(-0.676519\pi\)
0.850137 + 0.526561i \(0.176519\pi\)
\(444\) −1.21585 + 10.5976i −0.0577018 + 0.502941i
\(445\) 6.18448 + 6.12279i 0.293173 + 0.290248i
\(446\) −0.934023 3.48582i −0.0442272 0.165058i
\(447\) −5.97823 + 22.3111i −0.282761 + 1.05528i
\(448\) −4.67400 1.25240i −0.220826 0.0591701i
\(449\) −13.6000 3.64411i −0.641823 0.171976i −0.0767941 0.997047i \(-0.524468\pi\)
−0.565029 + 0.825071i \(0.691135\pi\)
\(450\) 0.376726 0.00377730i 0.0177590 0.000178063i
\(451\) −2.33714 4.04805i −0.110052 0.190615i
\(452\) −8.41175 −0.395656
\(453\) −17.8258 + 4.77640i −0.837528 + 0.224415i
\(454\) 12.4513i 0.584369i
\(455\) −20.1120 19.9114i −0.942867 0.933460i
\(456\) 5.60249 9.70379i 0.262361 0.454422i
\(457\) −9.48058 16.4208i −0.443483 0.768135i 0.554462 0.832209i \(-0.312924\pi\)
−0.997945 + 0.0640742i \(0.979591\pi\)
\(458\) −17.9767 −0.839994
\(459\) 17.2361 4.61839i 0.804510 0.215568i
\(460\) −16.2737 9.28716i −0.758765 0.433016i
\(461\) 3.92362 1.05133i 0.182741 0.0489654i −0.166288 0.986077i \(-0.553178\pi\)
0.349029 + 0.937112i \(0.386511\pi\)
\(462\) −13.2606 + 7.65601i −0.616939 + 0.356190i
\(463\) −1.04021 + 0.600566i −0.0483427 + 0.0279107i −0.523977 0.851733i \(-0.675552\pi\)
0.475634 + 0.879643i \(0.342219\pi\)
\(464\) 7.05467 1.89029i 0.327505 0.0877547i
\(465\) 29.6799 + 16.9379i 1.37637 + 0.785476i
\(466\) −13.3555 + 3.57860i −0.618682 + 0.165775i
\(467\) 35.6633 1.65030 0.825150 0.564914i \(-0.191091\pi\)
0.825150 + 0.564914i \(0.191091\pi\)
\(468\) 0.0985420 + 0.170680i 0.00455511 + 0.00788968i
\(469\) 23.8531 41.3148i 1.10143 1.90774i
\(470\) −0.229214 0.226927i −0.0105728 0.0104674i
\(471\) 5.41048i 0.249302i
\(472\) 10.3671 2.77785i 0.477184 0.127861i
\(473\) 2.45318 0.112797
\(474\) 12.4547 + 21.5722i 0.572064 + 0.990845i
\(475\) 22.3625 22.8155i 1.02606 1.04685i
\(476\) 16.2616 + 4.35727i 0.745347 + 0.199715i
\(477\) 0.196443 + 0.0526367i 0.00899450 + 0.00241007i
\(478\) 7.64800 28.5427i 0.349811 1.30551i
\(479\) 9.09174 + 33.9308i 0.415412 + 1.55034i 0.784009 + 0.620750i \(0.213172\pi\)
−0.368597 + 0.929589i \(0.620162\pi\)
\(480\) 2.78666 + 2.75886i 0.127193 + 0.125924i
\(481\) −15.7373 + 2.33935i −0.717557 + 0.106665i
\(482\) 7.53089 7.53089i 0.343023 0.343023i
\(483\) −35.5536 + 61.5806i −1.61774 + 2.80202i
\(484\) 3.87202 + 6.70653i 0.176001 + 0.304842i
\(485\) −4.65609 7.97203i −0.211422 0.361991i
\(486\) 0.202621 0.756190i 0.00919105 0.0343015i
\(487\) −34.6270 −1.56910 −0.784551 0.620065i \(-0.787106\pi\)
−0.784551 + 0.620065i \(0.787106\pi\)
\(488\) −1.37034 + 5.11419i −0.0620325 + 0.231509i
\(489\) 11.4485 11.4485i 0.517721 0.517721i
\(490\) −18.1927 + 31.8787i −0.821864 + 1.44013i
\(491\) −38.1904 −1.72351 −0.861754 0.507327i \(-0.830634\pi\)
−0.861754 + 0.507327i \(0.830634\pi\)
\(492\) 3.21223 + 3.21223i 0.144819 + 0.144819i
\(493\) −24.5443 + 6.57661i −1.10542 + 0.296196i
\(494\) 16.1429 + 4.32548i 0.726304 + 0.194613i
\(495\) 0.304016 0.00152409i 0.0136645 6.85029e-5i
\(496\) 2.25552 + 8.41771i 0.101276 + 0.377966i
\(497\) −14.5743 54.3921i −0.653748 2.43982i
\(498\) 24.5697 + 14.1853i 1.10100 + 0.635660i
\(499\) 9.53373 35.5804i 0.426788 1.59280i −0.333198 0.942857i \(-0.608128\pi\)
0.759986 0.649939i \(-0.225206\pi\)
\(500\) 5.73515 + 9.59729i 0.256484 + 0.429204i
\(501\) 2.72770 + 10.1799i 0.121864 + 0.454804i
\(502\) 25.5005 6.83285i 1.13815 0.304965i
\(503\) −23.0758 13.3228i −1.02890 0.594034i −0.112229 0.993682i \(-0.535799\pi\)
−0.916669 + 0.399648i \(0.869132\pi\)
\(504\) 0.257815 0.257815i 0.0114840 0.0114840i
\(505\) 16.8739 9.85526i 0.750878 0.438553i
\(506\) −13.0946 7.56016i −0.582125 0.336090i
\(507\) 7.63678 7.63678i 0.339161 0.339161i
\(508\) 7.42724 7.42724i 0.329530 0.329530i
\(509\) 12.6773 21.9577i 0.561910 0.973257i −0.435420 0.900228i \(-0.643400\pi\)
0.997330 0.0730294i \(-0.0232667\pi\)
\(510\) −9.69519 9.59847i −0.429310 0.425027i
\(511\) −19.0425 + 10.9942i −0.842390 + 0.486354i
\(512\) 1.00000i 0.0441942i
\(513\) −16.3853 28.3802i −0.723430 1.25302i
\(514\) 12.3176 7.11154i 0.543304 0.313677i
\(515\) 1.34890 + 2.30955i 0.0594398 + 0.101771i
\(516\) −2.30293 + 0.617069i −0.101381 + 0.0271649i
\(517\) −0.184047 0.184047i −0.00809439 0.00809439i
\(518\) 11.7156 + 27.0017i 0.514752 + 1.18639i
\(519\) 0.690143i 0.0302939i
\(520\) −2.89892 + 5.07972i −0.127126 + 0.222760i
\(521\) −20.7644 + 11.9884i −0.909707 + 0.525220i −0.880337 0.474349i \(-0.842683\pi\)
−0.0293701 + 0.999569i \(0.509350\pi\)
\(522\) −0.142432 + 0.531562i −0.00623407 + 0.0232659i
\(523\) 34.1892 19.7392i 1.49499 0.863133i 0.495007 0.868889i \(-0.335165\pi\)
0.999983 + 0.00575557i \(0.00183207\pi\)
\(524\) −8.44095 + 8.44095i −0.368745 + 0.368745i
\(525\) 36.5300 21.5818i 1.59430 0.941908i
\(526\) −13.9894 13.9894i −0.609965 0.609965i
\(527\) −7.84728 29.2865i −0.341833 1.27574i
\(528\) 2.23755 + 2.23755i 0.0973767 + 0.0973767i
\(529\) −47.2170 −2.05291
\(530\) 1.59126 + 5.82176i 0.0691199 + 0.252881i
\(531\) −0.209308 + 0.781149i −0.00908320 + 0.0338990i
\(532\) 30.9178i 1.34046i
\(533\) −3.38781 + 5.86786i −0.146742 + 0.254165i
\(534\) −5.91078 3.41259i −0.255785 0.147677i
\(535\) −0.812965 2.97430i −0.0351476 0.128590i
\(536\) −9.52300 2.55168i −0.411331 0.110216i
\(537\) 7.60894 + 13.1791i 0.328350 + 0.568719i
\(538\) 1.57572 2.72923i 0.0679343 0.117666i
\(539\) −14.8097 + 25.6511i −0.637898 + 1.10487i
\(540\) 11.0627 3.02376i 0.476062 0.130122i
\(541\) −24.9396 24.9396i −1.07224 1.07224i −0.997179 0.0750574i \(-0.976086\pi\)
−0.0750574 0.997179i \(-0.523914\pi\)
\(542\) 10.9202 6.30478i 0.469063 0.270813i
\(543\) 3.18107 + 11.8719i 0.136513 + 0.509473i
\(544\) 3.47915i 0.149167i
\(545\) −3.86160 + 3.90051i −0.165413 + 0.167080i
\(546\) 19.2219 + 11.0978i 0.822624 + 0.474942i
\(547\) 27.6892i 1.18391i −0.805973 0.591953i \(-0.798357\pi\)
0.805973 0.591953i \(-0.201643\pi\)
\(548\) −4.19059 1.12287i −0.179013 0.0479664i
\(549\) −0.282095 0.282095i −0.0120395 0.0120395i
\(550\) 4.58919 + 7.76779i 0.195684 + 0.331220i
\(551\) 23.3328 + 40.4136i 0.994011 + 1.72168i
\(552\) 14.1942 + 3.80333i 0.604147 + 0.161881i
\(553\) 59.5241 + 34.3663i 2.53122 + 1.46140i
\(554\) −3.29021 −0.139788
\(555\) 2.59990 23.7103i 0.110360 1.00645i
\(556\) −9.42276 −0.399614
\(557\) 13.4690 + 7.77630i 0.570698 + 0.329492i 0.757428 0.652919i \(-0.226456\pi\)
−0.186730 + 0.982411i \(0.559789\pi\)
\(558\) −0.634265 0.169951i −0.0268506 0.00719460i
\(559\) −1.77801 3.07960i −0.0752018 0.130253i
\(560\) 10.4653 + 2.74801i 0.442240 + 0.116125i
\(561\) −7.78476 7.78476i −0.328673 0.328673i
\(562\) −0.778302 0.208545i −0.0328307 0.00879696i
\(563\) 6.39301i 0.269433i −0.990884 0.134717i \(-0.956988\pi\)
0.990884 0.134717i \(-0.0430124\pi\)
\(564\) 0.219070 + 0.126480i 0.00922449 + 0.00532576i
\(565\) 18.8090 0.0942933i 0.791301 0.00396695i
\(566\) 12.3041i 0.517180i
\(567\) −11.5476 43.0960i −0.484952 1.80986i
\(568\) −10.0781 + 5.81858i −0.422866 + 0.244142i
\(569\) −0.679587 0.679587i −0.0284897 0.0284897i 0.692718 0.721208i \(-0.256413\pi\)
−0.721208 + 0.692718i \(0.756413\pi\)
\(570\) −12.4186 + 21.7609i −0.520158 + 0.911463i
\(571\) −15.2224 + 26.3660i −0.637038 + 1.10338i 0.349042 + 0.937107i \(0.386507\pi\)
−0.986079 + 0.166275i \(0.946826\pi\)
\(572\) −2.35985 + 4.08738i −0.0986703 + 0.170902i
\(573\) −6.71802 11.6359i −0.280649 0.486099i
\(574\) 12.1078 + 3.24427i 0.505369 + 0.135413i
\(575\) 36.4928 + 20.5840i 1.52185 + 0.858414i
\(576\) −0.0652541 0.0376745i −0.00271892 0.00156977i
\(577\) 3.55763 6.16200i 0.148106 0.256527i −0.782421 0.622749i \(-0.786016\pi\)
0.930527 + 0.366222i \(0.119349\pi\)
\(578\) 4.89553i 0.203627i
\(579\) 4.50006 16.7945i 0.187016 0.697954i
\(580\) −15.7533 + 4.30585i −0.654122 + 0.178791i
\(581\) 78.2831 3.24773
\(582\) 5.11976 + 5.11976i 0.212221 + 0.212221i
\(583\) 1.26052 + 4.70434i 0.0522056 + 0.194834i
\(584\) 3.21316 + 3.21316i 0.132962 + 0.132962i
\(585\) −0.222257 0.380542i −0.00918920 0.0157335i
\(586\) −8.48211 + 8.48211i −0.350393 + 0.350393i
\(587\) −15.6999 + 9.06433i −0.648003 + 0.374125i −0.787691 0.616071i \(-0.788724\pi\)
0.139687 + 0.990196i \(0.455390\pi\)
\(588\) 7.45039 27.8053i 0.307249 1.14667i
\(589\) −48.2219 + 27.8409i −1.98695 + 1.14717i
\(590\) −23.1501 + 6.32760i −0.953073 + 0.260503i
\(591\) 13.0820i 0.538123i
\(592\) 4.76338 3.78288i 0.195774 0.155475i
\(593\) 8.04997 + 8.04997i 0.330573 + 0.330573i 0.852804 0.522231i \(-0.174900\pi\)
−0.522231 + 0.852804i \(0.674900\pi\)
\(594\) 8.93933 2.39529i 0.366785 0.0982798i
\(595\) −36.4103 9.56074i −1.49268 0.391952i
\(596\) 11.4067 6.58566i 0.467237 0.269759i
\(597\) 7.64166 + 13.2357i 0.312752 + 0.541703i
\(598\) 21.9177i 0.896282i
\(599\) 0.467718 0.270037i 0.0191104 0.0110334i −0.490414 0.871489i \(-0.663155\pi\)
0.509525 + 0.860456i \(0.329821\pi\)
\(600\) −6.26200 6.13767i −0.255645 0.250570i
\(601\) 19.1979 33.2517i 0.783097 1.35636i −0.147032 0.989132i \(-0.546972\pi\)
0.930129 0.367232i \(-0.119695\pi\)
\(602\) −4.65179 + 4.65179i −0.189593 + 0.189593i
\(603\) 0.525281 0.525281i 0.0213911 0.0213911i
\(604\) 9.11356 + 5.26172i 0.370826 + 0.214096i
\(605\) −8.73316 14.9527i −0.355054 0.607912i
\(606\) −10.8367 + 10.8367i −0.440210 + 0.440210i
\(607\) 11.6274 + 6.71310i 0.471943 + 0.272476i 0.717053 0.697019i \(-0.245491\pi\)
−0.245110 + 0.969495i \(0.578824\pi\)
\(608\) −6.17174 + 1.65371i −0.250297 + 0.0670669i
\(609\) 16.0407 + 59.8645i 0.650000 + 2.42583i
\(610\) 3.00681 11.4509i 0.121742 0.463633i
\(611\) −0.0976506 + 0.364437i −0.00395052 + 0.0147435i
\(612\) 0.227029 + 0.131075i 0.00917709 + 0.00529840i
\(613\) 2.92001 + 10.8976i 0.117938 + 0.440151i 0.999490 0.0319365i \(-0.0101674\pi\)
−0.881552 + 0.472087i \(0.843501\pi\)
\(614\) −7.00125 26.1290i −0.282548 1.05448i
\(615\) −7.21869 7.14668i −0.291086 0.288182i
\(616\) 8.43391 + 2.25986i 0.339812 + 0.0910524i
\(617\) −5.62193 + 1.50639i −0.226330 + 0.0606450i −0.370202 0.928951i \(-0.620711\pi\)
0.143872 + 0.989596i \(0.454045\pi\)
\(618\) −1.48323 1.48323i −0.0596643 0.0596643i
\(619\) 31.6242 1.27108 0.635542 0.772066i \(-0.280777\pi\)
0.635542 + 0.772066i \(0.280777\pi\)
\(620\) −5.13779 18.7970i −0.206339 0.754908i
\(621\) 30.3898 30.3898i 1.21950 1.21950i
\(622\) 3.57605 13.3460i 0.143387 0.535126i
\(623\) −18.8327 −0.754516
\(624\) 1.18718 4.43063i 0.0475254 0.177367i
\(625\) −12.9316 21.3956i −0.517264 0.855826i
\(626\) 1.91505 + 3.31696i 0.0765407 + 0.132572i
\(627\) −10.1093 + 17.5098i −0.403726 + 0.699275i
\(628\) −2.18159 + 2.18159i −0.0870551 + 0.0870551i
\(629\) −16.5725 + 13.1612i −0.660789 + 0.524772i
\(630\) −0.573594 + 0.579374i −0.0228525 + 0.0230828i
\(631\) 0.368325 + 1.37461i 0.0146628 + 0.0547222i 0.972870 0.231354i \(-0.0743156\pi\)
−0.958207 + 0.286076i \(0.907649\pi\)
\(632\) 3.67632 13.7202i 0.146236 0.545761i
\(633\) −6.13085 1.64276i −0.243680 0.0652937i
\(634\) −7.49692 2.00879i −0.297741 0.0797793i
\(635\) −16.5243 + 16.6909i −0.655749 + 0.662357i
\(636\) −2.36664 4.09914i −0.0938434 0.162542i
\(637\) 42.9349 1.70114
\(638\) −12.7297 + 3.41090i −0.503972 + 0.135039i
\(639\) 0.876847i 0.0346875i
\(640\) −0.0112097 2.23604i −0.000443102 0.0883872i
\(641\) −10.9917 + 19.0382i −0.434147 + 0.751964i −0.997226 0.0744390i \(-0.976283\pi\)
0.563079 + 0.826403i \(0.309617\pi\)
\(642\) 1.20910 + 2.09423i 0.0477195 + 0.0826525i
\(643\) 44.3917 1.75064 0.875319 0.483546i \(-0.160651\pi\)
0.875319 + 0.483546i \(0.160651\pi\)
\(644\) 39.1661 10.4945i 1.54336 0.413542i
\(645\) 5.14253 1.40561i 0.202487 0.0553456i
\(646\) 21.4724 5.75351i 0.844820 0.226369i
\(647\) −31.5064 + 18.1902i −1.23865 + 0.715132i −0.968817 0.247776i \(-0.920300\pi\)
−0.269828 + 0.962908i \(0.586967\pi\)
\(648\) −7.98507 + 4.61018i −0.313683 + 0.181105i
\(649\) −18.7067 + 5.01244i −0.734301 + 0.196755i
\(650\) 6.42516 11.3909i 0.252016 0.446790i
\(651\) −71.4309 + 19.1399i −2.79960 + 0.750150i
\(652\) −9.23247 −0.361572
\(653\) 12.4658 + 21.5913i 0.487823 + 0.844934i 0.999902 0.0140044i \(-0.00445788\pi\)
−0.512079 + 0.858938i \(0.671125\pi\)
\(654\) 2.15230 3.72789i 0.0841615 0.145772i
\(655\) 18.7797 18.9689i 0.733783 0.741177i
\(656\) 2.59045i 0.101140i
\(657\) −0.330726 + 0.0886178i −0.0129029 + 0.00345731i
\(658\) 0.697991 0.0272105
\(659\) −9.94693 17.2286i −0.387477 0.671131i 0.604632 0.796505i \(-0.293320\pi\)
−0.992110 + 0.125374i \(0.959987\pi\)
\(660\) −5.02833 4.97816i −0.195727 0.193775i
\(661\) −36.1647 9.69031i −1.40665 0.376909i −0.525919 0.850535i \(-0.676278\pi\)
−0.880726 + 0.473625i \(0.842945\pi\)
\(662\) −3.24978 0.870777i −0.126306 0.0338437i
\(663\) −4.13039 + 15.4148i −0.160411 + 0.598662i
\(664\) −4.18715 15.6267i −0.162493 0.606432i
\(665\) 0.346580 + 69.1335i 0.0134398 + 2.68088i
\(666\) 0.0673905 + 0.453348i 0.00261133 + 0.0175669i
\(667\) −43.2752 + 43.2752i −1.67562 + 1.67562i
\(668\) 3.00485 5.20455i 0.116261 0.201370i
\(669\) −3.16430 5.48074i −0.122339 0.211898i
\(670\) 21.3224 + 5.59891i 0.823756 + 0.216305i
\(671\) 2.47269 9.22820i 0.0954571 0.356251i
\(672\) −8.48579 −0.327347
\(673\) −6.44979 + 24.0710i −0.248621 + 0.927867i 0.722907 + 0.690945i \(0.242805\pi\)
−0.971529 + 0.236922i \(0.923861\pi\)
\(674\) −2.02742 + 2.02742i −0.0780933 + 0.0780933i
\(675\) −24.7027 + 6.88526i −0.950808 + 0.265014i
\(676\) −6.15854 −0.236867
\(677\) 7.00253 + 7.00253i 0.269129 + 0.269129i 0.828749 0.559620i \(-0.189053\pi\)
−0.559620 + 0.828749i \(0.689053\pi\)
\(678\) −14.2488 + 3.81795i −0.547221 + 0.146627i
\(679\) 19.2977 + 5.17081i 0.740579 + 0.198438i
\(680\) 0.0390002 + 7.77951i 0.00149559 + 0.298331i
\(681\) −5.65143 21.0914i −0.216563 0.808225i
\(682\) −4.06992 15.1892i −0.155845 0.581623i
\(683\) −37.6536 21.7393i −1.44078 0.831832i −0.442874 0.896584i \(-0.646041\pi\)
−0.997901 + 0.0647514i \(0.979375\pi\)
\(684\) 0.124606 0.465034i 0.00476441 0.0177810i
\(685\) 9.38291 + 2.46380i 0.358503 + 0.0941368i
\(686\) −11.7911 44.0049i −0.450185 1.68011i
\(687\) −30.4509 + 8.15929i −1.16177 + 0.311296i
\(688\) 1.17739 + 0.679767i 0.0448876 + 0.0259159i
\(689\) 4.99200 4.99200i 0.190180 0.190180i
\(690\) −31.7815 8.34529i −1.20990 0.317700i
\(691\) 33.4252 + 19.2981i 1.27156 + 0.734133i 0.975281 0.220969i \(-0.0709220\pi\)
0.296276 + 0.955102i \(0.404255\pi\)
\(692\) 0.278277 0.278277i 0.0105785 0.0105785i
\(693\) −0.465208 + 0.465208i −0.0176718 + 0.0176718i
\(694\) −6.77697 + 11.7381i −0.257250 + 0.445570i
\(695\) 21.0697 0.105626i 0.799218 0.00400664i
\(696\) 11.0920 6.40399i 0.420442 0.242742i
\(697\) 9.01256i 0.341375i
\(698\) −0.458581 0.794285i −0.0173575 0.0300641i
\(699\) −20.9988 + 12.1237i −0.794248 + 0.458559i
\(700\) −23.4316 6.02735i −0.885632 0.227813i
\(701\) 48.7459 13.0614i 1.84111 0.493323i 0.842161 0.539226i \(-0.181283\pi\)
0.998946 + 0.0459030i \(0.0146165\pi\)
\(702\) −9.48594 9.48594i −0.358024 0.358024i
\(703\) 31.2242 + 23.1426i 1.17764 + 0.872838i
\(704\) 1.80443i 0.0680070i
\(705\) −0.491266 0.280358i −0.0185022 0.0105589i
\(706\) −11.6101 + 6.70307i −0.436950 + 0.252273i
\(707\) −10.9447 + 40.8463i −0.411619 + 1.53618i
\(708\) 16.3001 9.41087i 0.612596 0.353682i
\(709\) 25.9991 25.9991i 0.976416 0.976416i −0.0233124 0.999728i \(-0.507421\pi\)
0.999728 + 0.0233124i \(0.00742123\pi\)
\(710\) 22.4697 13.1235i 0.843274 0.492518i
\(711\) 0.756797 + 0.756797i 0.0283821 + 0.0283821i
\(712\) 1.00731 + 3.75933i 0.0377506 + 0.140887i
\(713\) −51.6364 51.6364i −1.93380 1.93380i
\(714\) 29.5233 1.10488
\(715\) 5.23090 9.16600i 0.195625 0.342789i
\(716\) 2.24597 8.38206i 0.0839357 0.313252i
\(717\) 51.8201i 1.93526i
\(718\) 8.21572 14.2301i 0.306608 0.531061i
\(719\) −16.5495 9.55486i −0.617192 0.356336i 0.158583 0.987346i \(-0.449308\pi\)
−0.775775 + 0.631010i \(0.782641\pi\)
\(720\) 0.146333 + 0.0835102i 0.00545351 + 0.00311224i
\(721\) −5.59069 1.49802i −0.208208 0.0557893i
\(722\) −10.9126 18.9011i −0.406123 0.703426i
\(723\) 9.33853 16.1748i 0.347304 0.601548i
\(724\) 3.50429 6.06961i 0.130236 0.225575i
\(725\) 35.1768 9.80465i 1.30643 0.364136i
\(726\) 9.60283 + 9.60283i 0.356395 + 0.356395i
\(727\) 13.1377 7.58505i 0.487250 0.281314i −0.236183 0.971709i \(-0.575897\pi\)
0.723433 + 0.690395i \(0.242563\pi\)
\(728\) −3.27579 12.2254i −0.121409 0.453104i
\(729\) 26.2882i 0.973638i
\(730\) −7.22078 7.14874i −0.267253 0.264587i
\(731\) −4.09632 2.36501i −0.151508 0.0874730i
\(732\) 9.28497i 0.343182i
\(733\) −31.2438 8.37175i −1.15402 0.309218i −0.369443 0.929253i \(-0.620451\pi\)
−0.784574 + 0.620036i \(0.787118\pi\)
\(734\) −15.9321 15.9321i −0.588063 0.588063i
\(735\) −16.3477 + 62.2572i −0.602994 + 2.29639i
\(736\) −4.18978 7.25691i −0.154437 0.267493i
\(737\) 17.1836 + 4.60433i 0.632965 + 0.169603i
\(738\) 0.169037 + 0.0975938i 0.00622235 + 0.00359248i
\(739\) −1.49398 −0.0549568 −0.0274784 0.999622i \(-0.508748\pi\)
−0.0274784 + 0.999622i \(0.508748\pi\)
\(740\) −10.6087 + 8.51207i −0.389984 + 0.312910i
\(741\) 29.3079 1.07665
\(742\) −11.3107 6.53026i −0.415230 0.239733i
\(743\) 6.76786 + 1.81344i 0.248289 + 0.0665288i 0.380817 0.924650i \(-0.375643\pi\)
−0.132528 + 0.991179i \(0.542309\pi\)
\(744\) 7.64130 + 13.2351i 0.280144 + 0.485223i
\(745\) −25.4320 + 14.8537i −0.931757 + 0.544196i
\(746\) −1.11799 1.11799i −0.0409323 0.0409323i
\(747\) 1.17745 + 0.315498i 0.0430807 + 0.0115435i
\(748\) 6.27788i 0.229542i
\(749\) 5.77859 + 3.33627i 0.211145 + 0.121905i
\(750\) 14.0709 + 13.6539i 0.513796 + 0.498570i
\(751\) 3.01004i 0.109838i −0.998491 0.0549190i \(-0.982510\pi\)
0.998491 0.0549190i \(-0.0174901\pi\)
\(752\) −0.0373337 0.139331i −0.00136142 0.00508088i
\(753\) 40.0944 23.1485i 1.46112 0.843578i
\(754\) 13.5080 + 13.5080i 0.491934 + 0.491934i
\(755\) −20.4373 11.6632i −0.743788 0.424469i
\(756\) −12.4090 + 21.4930i −0.451311 + 0.781693i
\(757\) −21.2107 + 36.7380i −0.770916 + 1.33527i 0.166145 + 0.986101i \(0.446868\pi\)
−0.937061 + 0.349165i \(0.886465\pi\)
\(758\) −1.49690 2.59270i −0.0543698 0.0941712i
\(759\) −25.6125 6.86285i −0.929675 0.249106i
\(760\) 13.7817 3.76695i 0.499915 0.136642i
\(761\) 17.0535 + 9.84585i 0.618189 + 0.356912i 0.776164 0.630532i \(-0.217163\pi\)
−0.157975 + 0.987443i \(0.550496\pi\)
\(762\) 9.21000 15.9522i 0.333643 0.577887i
\(763\) 11.8776i 0.430000i
\(764\) −1.98299 + 7.40061i −0.0717420 + 0.267745i
\(765\) −0.509115 0.290544i −0.0184071 0.0105046i
\(766\) −2.14240 −0.0774082
\(767\) 19.8505 + 19.8505i 0.716761 + 0.716761i
\(768\) 0.453882 + 1.69391i 0.0163781 + 0.0611238i
\(769\) −12.9133 12.9133i −0.465667 0.465667i 0.434841 0.900507i \(-0.356805\pi\)
−0.900507 + 0.434841i \(0.856805\pi\)
\(770\) −18.8839 4.95860i −0.680528 0.178695i
\(771\) 17.6371 17.6371i 0.635183 0.635183i
\(772\) −8.58629 + 4.95730i −0.309028 + 0.178417i
\(773\) 0.348784