Properties

Label 370.2.v.b.289.3
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
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.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.3
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.434686 + 1.19429i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.33445 - 1.79422i) q^{5} +1.27094i q^{6} +(2.39627 - 0.422528i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.06076 + 0.890080i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.434686 + 1.19429i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.33445 - 1.79422i) q^{5} +1.27094i q^{6} +(2.39627 - 0.422528i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.06076 + 0.890080i) q^{9} +(-1.86764 - 1.22961i) q^{10} +(-0.539279 + 0.934058i) q^{11} +(0.434686 + 1.19429i) q^{12} +(4.50286 - 3.77835i) q^{13} +(2.10725 - 1.21662i) q^{14} +(2.72289 - 0.813802i) q^{15} +(0.173648 - 0.984808i) q^{16} +(3.03001 + 2.54248i) q^{17} +(1.30121 + 0.473602i) q^{18} +(-0.238962 + 0.656543i) q^{19} +(-2.17555 - 0.516683i) q^{20} +(-0.537006 + 3.04551i) q^{21} +(-0.187290 + 1.06217i) q^{22} +(-4.52323 - 7.83447i) q^{23} +(0.816943 + 0.973594i) q^{24} +(-1.43847 + 4.78861i) q^{25} +(2.93904 - 5.09056i) q^{26} +(-4.82610 + 2.78635i) q^{27} +(1.56406 - 1.86397i) q^{28} +(3.50388 + 2.02297i) q^{29} +(2.28034 - 1.69601i) q^{30} +3.83883i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-0.881119 - 1.05008i) q^{33} +(3.71685 + 1.35282i) q^{34} +(-3.95583 - 3.73560i) q^{35} +1.38472 q^{36} +(5.80362 - 1.82155i) q^{37} +0.698678i q^{38} +(2.55512 + 7.02012i) q^{39} +(-2.22107 + 0.258560i) q^{40} +(-4.58982 + 3.85131i) q^{41} +(0.537006 + 3.04551i) q^{42} -2.24316 q^{43} +(0.187290 + 1.06217i) q^{44} +(0.181471 - 3.09100i) q^{45} +(-6.92999 - 5.81496i) q^{46} +(-6.62640 + 3.82576i) q^{47} +(1.10066 + 0.635469i) q^{48} +(-1.01425 + 0.369155i) q^{49} +(0.286087 + 4.99181i) q^{50} +(-4.35356 + 2.51353i) q^{51} +(1.02072 - 5.78877i) q^{52} +(-7.71511 - 1.36038i) q^{53} +(-3.58206 + 4.26894i) q^{54} +(2.39555 - 0.278872i) q^{55} +(0.832217 - 2.28650i) q^{56} +(-0.680229 - 0.570780i) q^{57} +(3.98447 + 0.702569i) q^{58} +(-8.83478 - 1.55781i) q^{59} +(1.56275 - 2.37365i) q^{60} +(-7.74469 - 9.22977i) q^{61} +(1.31296 + 3.60732i) q^{62} +(2.91795 + 1.68468i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-12.7881 - 3.03710i) q^{65} +(-1.18713 - 0.685389i) q^{66} +(4.03216 - 0.710979i) q^{67} +3.95539 q^{68} +(11.3228 - 1.99652i) q^{69} +(-4.99491 - 2.15735i) q^{70} +(10.0976 + 3.67522i) q^{71} +(1.30121 - 0.473602i) q^{72} +0.0962140i q^{73} +(4.83061 - 3.69665i) q^{74} +(-5.09371 - 3.79949i) q^{75} +(0.238962 + 0.656543i) q^{76} +(-0.897594 + 2.46612i) q^{77} +(4.80205 + 5.72286i) q^{78} +(-0.293157 + 0.0516914i) q^{79} +(-1.99869 + 1.00262i) q^{80} +(-0.508511 - 2.88391i) q^{81} +(-2.99579 + 5.18886i) q^{82} +(-9.17763 + 10.9375i) q^{83} +(1.54625 + 2.67818i) q^{84} +(0.518365 - 8.82932i) q^{85} +(-2.10788 + 0.767204i) q^{86} +(-3.93910 + 3.30529i) q^{87} +(0.539279 + 0.934058i) q^{88} +(12.0788 + 2.12982i) q^{89} +(-0.886658 - 2.96666i) q^{90} +(9.19364 - 10.9566i) q^{91} +(-8.50090 - 3.09407i) q^{92} +(-4.58468 - 1.66869i) q^{93} +(-4.91830 + 5.86140i) q^{94} +(1.49687 - 0.447375i) q^{95} +(1.25163 + 0.220696i) q^{96} +(-2.60024 - 4.50374i) q^{97} +(-0.826821 + 0.693785i) q^{98} +(-1.40343 + 0.510807i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) −0.434686 + 1.19429i −0.250966 + 0.689524i 0.748680 + 0.662931i \(0.230688\pi\)
−0.999646 + 0.0265924i \(0.991534\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −1.33445 1.79422i −0.596786 0.802400i
\(6\) 1.27094i 0.518858i
\(7\) 2.39627 0.422528i 0.905707 0.159701i 0.298653 0.954362i \(-0.403463\pi\)
0.607053 + 0.794661i \(0.292351\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 1.06076 + 0.890080i 0.353585 + 0.296693i
\(10\) −1.86764 1.22961i −0.590599 0.388836i
\(11\) −0.539279 + 0.934058i −0.162599 + 0.281629i −0.935800 0.352532i \(-0.885321\pi\)
0.773201 + 0.634161i \(0.218654\pi\)
\(12\) 0.434686 + 1.19429i 0.125483 + 0.344762i
\(13\) 4.50286 3.77835i 1.24887 1.04793i 0.252093 0.967703i \(-0.418881\pi\)
0.996777 0.0802232i \(-0.0255633\pi\)
\(14\) 2.10725 1.21662i 0.563186 0.325156i
\(15\) 2.72289 0.813802i 0.703047 0.210123i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 3.03001 + 2.54248i 0.734884 + 0.616641i 0.931458 0.363848i \(-0.118537\pi\)
−0.196574 + 0.980489i \(0.562982\pi\)
\(18\) 1.30121 + 0.473602i 0.306698 + 0.111629i
\(19\) −0.238962 + 0.656543i −0.0548216 + 0.150621i −0.964081 0.265609i \(-0.914427\pi\)
0.909259 + 0.416231i \(0.136649\pi\)
\(20\) −2.17555 0.516683i −0.486469 0.115534i
\(21\) −0.537006 + 3.04551i −0.117184 + 0.664586i
\(22\) −0.187290 + 1.06217i −0.0399303 + 0.226456i
\(23\) −4.52323 7.83447i −0.943159 1.63360i −0.759396 0.650629i \(-0.774505\pi\)
−0.183764 0.982970i \(-0.558828\pi\)
\(24\) 0.816943 + 0.973594i 0.166758 + 0.198734i
\(25\) −1.43847 + 4.78861i −0.287693 + 0.957723i
\(26\) 2.93904 5.09056i 0.576392 0.998341i
\(27\) −4.82610 + 2.78635i −0.928784 + 0.536233i
\(28\) 1.56406 1.86397i 0.295579 0.352257i
\(29\) 3.50388 + 2.02297i 0.650654 + 0.375655i 0.788707 0.614770i \(-0.210751\pi\)
−0.138053 + 0.990425i \(0.544084\pi\)
\(30\) 2.28034 1.69601i 0.416332 0.309647i
\(31\) 3.83883i 0.689475i 0.938699 + 0.344738i \(0.112032\pi\)
−0.938699 + 0.344738i \(0.887968\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) −0.881119 1.05008i −0.153383 0.182795i
\(34\) 3.71685 + 1.35282i 0.637435 + 0.232007i
\(35\) −3.95583 3.73560i −0.668657 0.631432i
\(36\) 1.38472 0.230787
\(37\) 5.80362 1.82155i 0.954109 0.299460i
\(38\) 0.698678i 0.113341i
\(39\) 2.55512 + 7.02012i 0.409146 + 1.12412i
\(40\) −2.22107 + 0.258560i −0.351182 + 0.0408819i
\(41\) −4.58982 + 3.85131i −0.716809 + 0.601474i −0.926501 0.376293i \(-0.877199\pi\)
0.209691 + 0.977768i \(0.432754\pi\)
\(42\) 0.537006 + 3.04551i 0.0828619 + 0.469933i
\(43\) −2.24316 −0.342078 −0.171039 0.985264i \(-0.554712\pi\)
−0.171039 + 0.985264i \(0.554712\pi\)
\(44\) 0.187290 + 1.06217i 0.0282350 + 0.160128i
\(45\) 0.181471 3.09100i 0.0270521 0.460780i
\(46\) −6.92999 5.81496i −1.02177 0.857368i
\(47\) −6.62640 + 3.82576i −0.966560 + 0.558044i −0.898186 0.439616i \(-0.855115\pi\)
−0.0683744 + 0.997660i \(0.521781\pi\)
\(48\) 1.10066 + 0.635469i 0.158867 + 0.0917220i
\(49\) −1.01425 + 0.369155i −0.144892 + 0.0527365i
\(50\) 0.286087 + 4.99181i 0.0404588 + 0.705948i
\(51\) −4.35356 + 2.51353i −0.609620 + 0.351964i
\(52\) 1.02072 5.78877i 0.141548 0.802758i
\(53\) −7.71511 1.36038i −1.05975 0.186863i −0.383506 0.923539i \(-0.625283\pi\)
−0.676246 + 0.736676i \(0.736394\pi\)
\(54\) −3.58206 + 4.26894i −0.487457 + 0.580929i
\(55\) 2.39555 0.278872i 0.323016 0.0376031i
\(56\) 0.832217 2.28650i 0.111210 0.305546i
\(57\) −0.680229 0.570780i −0.0900985 0.0756016i
\(58\) 3.98447 + 0.702569i 0.523186 + 0.0922518i
\(59\) −8.83478 1.55781i −1.15019 0.202810i −0.434132 0.900850i \(-0.642945\pi\)
−0.716059 + 0.698040i \(0.754056\pi\)
\(60\) 1.56275 2.37365i 0.201751 0.306437i
\(61\) −7.74469 9.22977i −0.991606 1.18175i −0.983338 0.181785i \(-0.941813\pi\)
−0.00826793 0.999966i \(-0.502632\pi\)
\(62\) 1.31296 + 3.60732i 0.166746 + 0.458131i
\(63\) 2.91795 + 1.68468i 0.367627 + 0.212249i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −12.7881 3.03710i −1.58616 0.376706i
\(66\) −1.18713 0.685389i −0.146125 0.0843656i
\(67\) 4.03216 0.710979i 0.492607 0.0868599i 0.0781740 0.996940i \(-0.475091\pi\)
0.414433 + 0.910080i \(0.363980\pi\)
\(68\) 3.95539 0.479662
\(69\) 11.3228 1.99652i 1.36311 0.240352i
\(70\) −4.99491 2.15735i −0.597006 0.257852i
\(71\) 10.0976 + 3.67522i 1.19836 + 0.436169i 0.862653 0.505796i \(-0.168801\pi\)
0.335711 + 0.941965i \(0.391023\pi\)
\(72\) 1.30121 0.473602i 0.153349 0.0558145i
\(73\) 0.0962140i 0.0112610i 0.999984 + 0.00563050i \(0.00179225\pi\)
−0.999984 + 0.00563050i \(0.998208\pi\)
\(74\) 4.83061 3.69665i 0.561547 0.429726i
\(75\) −5.09371 3.79949i −0.588171 0.438727i
\(76\) 0.238962 + 0.656543i 0.0274108 + 0.0753106i
\(77\) −0.897594 + 2.46612i −0.102290 + 0.281040i
\(78\) 4.80205 + 5.72286i 0.543725 + 0.647986i
\(79\) −0.293157 + 0.0516914i −0.0329827 + 0.00581574i −0.190115 0.981762i \(-0.560886\pi\)
0.157132 + 0.987578i \(0.449775\pi\)
\(80\) −1.99869 + 1.00262i −0.223460 + 0.112096i
\(81\) −0.508511 2.88391i −0.0565012 0.320434i
\(82\) −2.99579 + 5.18886i −0.330830 + 0.573014i
\(83\) −9.17763 + 10.9375i −1.00738 + 1.20054i −0.0277696 + 0.999614i \(0.508840\pi\)
−0.979606 + 0.200929i \(0.935604\pi\)
\(84\) 1.54625 + 2.67818i 0.168709 + 0.292213i
\(85\) 0.518365 8.82932i 0.0562245 0.957674i
\(86\) −2.10788 + 0.767204i −0.227298 + 0.0827298i
\(87\) −3.93910 + 3.30529i −0.422315 + 0.354365i
\(88\) 0.539279 + 0.934058i 0.0574873 + 0.0995709i
\(89\) 12.0788 + 2.12982i 1.28035 + 0.225761i 0.772130 0.635465i \(-0.219192\pi\)
0.508223 + 0.861226i \(0.330303\pi\)
\(90\) −0.886658 2.96666i −0.0934620 0.312713i
\(91\) 9.19364 10.9566i 0.963755 1.14856i
\(92\) −8.50090 3.09407i −0.886280 0.322579i
\(93\) −4.58468 1.66869i −0.475409 0.173035i
\(94\) −4.91830 + 5.86140i −0.507284 + 0.604557i
\(95\) 1.49687 0.447375i 0.153575 0.0458997i
\(96\) 1.25163 + 0.220696i 0.127744 + 0.0225247i
\(97\) −2.60024 4.50374i −0.264014 0.457286i 0.703291 0.710902i \(-0.251713\pi\)
−0.967305 + 0.253616i \(0.918380\pi\)
\(98\) −0.826821 + 0.693785i −0.0835215 + 0.0700829i
\(99\) −1.40343 + 0.510807i −0.141050 + 0.0513380i
\(100\) 1.97613 + 4.59292i 0.197613 + 0.459292i
\(101\) −8.57976 14.8606i −0.853718 1.47868i −0.877829 0.478973i \(-0.841009\pi\)
0.0241116 0.999709i \(-0.492324\pi\)
\(102\) −3.23133 + 3.85095i −0.319949 + 0.381300i
\(103\) −6.45081 + 11.1731i −0.635618 + 1.10092i 0.350766 + 0.936463i \(0.385921\pi\)
−0.986384 + 0.164459i \(0.947412\pi\)
\(104\) −1.02072 5.78877i −0.100089 0.567636i
\(105\) 6.18094 3.10059i 0.603198 0.302587i
\(106\) −7.71511 + 1.36038i −0.749358 + 0.132132i
\(107\) 0.771918 + 0.919936i 0.0746241 + 0.0889336i 0.802065 0.597237i \(-0.203735\pi\)
−0.727441 + 0.686171i \(0.759290\pi\)
\(108\) −1.90598 + 5.23663i −0.183403 + 0.503895i
\(109\) 4.13045 + 11.3483i 0.395625 + 1.08697i 0.964393 + 0.264473i \(0.0851979\pi\)
−0.568768 + 0.822498i \(0.692580\pi\)
\(110\) 2.15570 1.08138i 0.205538 0.103106i
\(111\) −0.347298 + 7.72300i −0.0329641 + 0.733035i
\(112\) 2.43324i 0.229920i
\(113\) 1.55367 0.565491i 0.146157 0.0531970i −0.267906 0.963445i \(-0.586332\pi\)
0.414063 + 0.910248i \(0.364109\pi\)
\(114\) −0.834424 0.303706i −0.0781510 0.0284446i
\(115\) −8.02073 + 18.5704i −0.747937 + 1.73170i
\(116\) 3.98447 0.702569i 0.369948 0.0652319i
\(117\) 8.13948 0.752495
\(118\) −8.83478 + 1.55781i −0.813307 + 0.143408i
\(119\) 8.33499 + 4.81221i 0.764067 + 0.441135i
\(120\) 0.656672 2.76499i 0.0599457 0.252408i
\(121\) 4.91836 + 8.51884i 0.447123 + 0.774440i
\(122\) −10.4344 6.02430i −0.944686 0.545415i
\(123\) −2.60446 7.15569i −0.234836 0.645207i
\(124\) 2.46756 + 2.94072i 0.221593 + 0.264084i
\(125\) 10.5114 3.80926i 0.940168 0.340710i
\(126\) 3.31817 + 0.585082i 0.295606 + 0.0521233i
\(127\) 4.26508 + 0.752049i 0.378465 + 0.0667336i 0.359645 0.933089i \(-0.382898\pi\)
0.0188202 + 0.999823i \(0.494009\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 0.975068 2.67898i 0.0858500 0.235871i
\(130\) −13.0556 + 1.51983i −1.14505 + 0.133298i
\(131\) −3.04658 + 3.63077i −0.266181 + 0.317222i −0.882535 0.470247i \(-0.844165\pi\)
0.616354 + 0.787469i \(0.288609\pi\)
\(132\) −1.34995 0.238033i −0.117498 0.0207181i
\(133\) −0.295211 + 1.67422i −0.0255980 + 0.145174i
\(134\) 3.54582 2.04718i 0.306312 0.176850i
\(135\) 11.4395 + 4.94084i 0.984559 + 0.425240i
\(136\) 3.71685 1.35282i 0.318717 0.116004i
\(137\) 18.1348 + 10.4701i 1.54936 + 0.894522i 0.998191 + 0.0601265i \(0.0191504\pi\)
0.551166 + 0.834395i \(0.314183\pi\)
\(138\) 9.95712 5.74874i 0.847606 0.489366i
\(139\) 5.79033 + 4.85866i 0.491129 + 0.412107i 0.854431 0.519565i \(-0.173906\pi\)
−0.363301 + 0.931672i \(0.618350\pi\)
\(140\) −5.43154 0.318883i −0.459049 0.0269505i
\(141\) −1.68866 9.57685i −0.142211 0.806516i
\(142\) 10.7456 0.901754
\(143\) 1.10090 + 6.24352i 0.0920620 + 0.522110i
\(144\) 1.06076 0.890080i 0.0883964 0.0741734i
\(145\) −1.04612 8.98629i −0.0868752 0.746271i
\(146\) 0.0329071 + 0.0904115i 0.00272341 + 0.00748251i
\(147\) 1.37177i 0.113142i
\(148\) 3.27496 5.12588i 0.269200 0.421345i
\(149\) −6.24076 −0.511263 −0.255632 0.966774i \(-0.582283\pi\)
−0.255632 + 0.966774i \(0.582283\pi\)
\(150\) −6.08603 1.82820i −0.496922 0.149272i
\(151\) −4.73108 1.72197i −0.385010 0.140132i 0.142262 0.989829i \(-0.454563\pi\)
−0.527271 + 0.849697i \(0.676785\pi\)
\(152\) 0.449102 + 0.535218i 0.0364270 + 0.0434120i
\(153\) 0.951089 + 5.39390i 0.0768910 + 0.436071i
\(154\) 2.62439i 0.211479i
\(155\) 6.88772 5.12275i 0.553235 0.411469i
\(156\) 6.46978 + 3.73533i 0.517997 + 0.299066i
\(157\) 2.62863 3.13268i 0.209787 0.250015i −0.650882 0.759179i \(-0.725601\pi\)
0.860670 + 0.509164i \(0.170045\pi\)
\(158\) −0.257798 + 0.148840i −0.0205093 + 0.0118410i
\(159\) 4.97834 8.62274i 0.394808 0.683828i
\(160\) −1.53524 + 1.62574i −0.121371 + 0.128526i
\(161\) −14.1492 16.8623i −1.11511 1.32894i
\(162\) −1.46420 2.53607i −0.115038 0.199252i
\(163\) 3.46859 19.6714i 0.271681 1.54078i −0.477629 0.878562i \(-0.658504\pi\)
0.749310 0.662219i \(-0.230385\pi\)
\(164\) −1.04043 + 5.90056i −0.0812437 + 0.460756i
\(165\) −0.708258 + 2.98220i −0.0551378 + 0.232164i
\(166\) −4.88331 + 13.4168i −0.379019 + 1.04135i
\(167\) −8.48472 3.08819i −0.656568 0.238971i −0.00781383 0.999969i \(-0.502487\pi\)
−0.648754 + 0.760998i \(0.724709\pi\)
\(168\) 2.36899 + 1.98782i 0.182772 + 0.153364i
\(169\) 3.74242 21.2243i 0.287878 1.63264i
\(170\) −2.53270 8.47414i −0.194249 0.649937i
\(171\) −0.837856 + 0.483736i −0.0640725 + 0.0369923i
\(172\) −1.71836 + 1.44187i −0.131023 + 0.109942i
\(173\) −3.12335 8.58134i −0.237464 0.652427i −0.999985 0.00546385i \(-0.998261\pi\)
0.762521 0.646964i \(-0.223961\pi\)
\(174\) −2.57106 + 4.45321i −0.194912 + 0.337597i
\(175\) −1.42364 + 12.0826i −0.107617 + 0.913361i
\(176\) 0.826223 + 0.693283i 0.0622789 + 0.0522582i
\(177\) 5.70083 9.87413i 0.428501 0.742185i
\(178\) 12.0788 2.12982i 0.905346 0.159637i
\(179\) 12.3400i 0.922337i 0.887313 + 0.461168i \(0.152570\pi\)
−0.887313 + 0.461168i \(0.847430\pi\)
\(180\) −1.84784 2.48449i −0.137730 0.185183i
\(181\) −2.90277 + 2.43572i −0.215761 + 0.181045i −0.744262 0.667887i \(-0.767199\pi\)
0.528501 + 0.848933i \(0.322754\pi\)
\(182\) 4.89183 13.4402i 0.362607 0.996254i
\(183\) 14.3895 5.23736i 1.06370 0.387157i
\(184\) −9.04647 −0.666914
\(185\) −11.0129 7.98221i −0.809686 0.586864i
\(186\) −4.87892 −0.357740
\(187\) −4.00884 + 1.45910i −0.293155 + 0.106700i
\(188\) −2.61697 + 7.19007i −0.190862 + 0.524390i
\(189\) −10.3874 + 8.71602i −0.755569 + 0.633997i
\(190\) 1.25358 0.932354i 0.0909445 0.0676401i
\(191\) 23.6507i 1.71131i 0.517550 + 0.855653i \(0.326844\pi\)
−0.517550 + 0.855653i \(0.673156\pi\)
\(192\) 1.25163 0.220696i 0.0903285 0.0159274i
\(193\) −6.57365 + 11.3859i −0.473182 + 0.819575i −0.999529 0.0306947i \(-0.990228\pi\)
0.526347 + 0.850270i \(0.323561\pi\)
\(194\) −3.98379 3.34280i −0.286020 0.239999i
\(195\) 9.18598 13.9525i 0.657821 0.999158i
\(196\) −0.539669 + 0.934734i −0.0385478 + 0.0667667i
\(197\) −9.19070 25.2513i −0.654811 1.79908i −0.599164 0.800627i \(-0.704500\pi\)
−0.0556470 0.998451i \(-0.517722\pi\)
\(198\) −1.14409 + 0.960003i −0.0813067 + 0.0682244i
\(199\) 8.84155 5.10467i 0.626761 0.361860i −0.152736 0.988267i \(-0.548808\pi\)
0.779496 + 0.626407i \(0.215475\pi\)
\(200\) 3.42783 + 3.64005i 0.242384 + 0.257391i
\(201\) −0.903609 + 5.12462i −0.0637357 + 0.361463i
\(202\) −13.1450 11.0299i −0.924876 0.776063i
\(203\) 9.25102 + 3.36710i 0.649294 + 0.236324i
\(204\) −1.71935 + 4.72388i −0.120379 + 0.330738i
\(205\) 13.0350 + 3.09575i 0.910405 + 0.216217i
\(206\) −2.24034 + 12.7056i −0.156092 + 0.885243i
\(207\) 2.17526 12.3365i 0.151191 0.857446i
\(208\) −2.93904 5.09056i −0.203785 0.352967i
\(209\) −0.484382 0.577264i −0.0335054 0.0399302i
\(210\) 4.74772 5.02761i 0.327624 0.346938i
\(211\) 13.0360 22.5790i 0.897435 1.55440i 0.0666737 0.997775i \(-0.478761\pi\)
0.830762 0.556629i \(-0.187905\pi\)
\(212\) −6.78455 + 3.91706i −0.465965 + 0.269025i
\(213\) −8.77857 + 10.4619i −0.601497 + 0.716837i
\(214\) 1.04000 + 0.600446i 0.0710931 + 0.0410456i
\(215\) 2.99339 + 4.02472i 0.204147 + 0.274484i
\(216\) 5.57270i 0.379174i
\(217\) 1.62201 + 9.19890i 0.110110 + 0.624462i
\(218\) 7.76270 + 9.25122i 0.525756 + 0.626572i
\(219\) −0.114907 0.0418229i −0.00776472 0.00282613i
\(220\) 1.65584 1.75346i 0.111637 0.118218i
\(221\) 23.2501 1.56397
\(222\) 2.31507 + 7.37603i 0.155377 + 0.495047i
\(223\) 1.64685i 0.110282i 0.998479 + 0.0551408i \(0.0175608\pi\)
−0.998479 + 0.0551408i \(0.982439\pi\)
\(224\) −0.832217 2.28650i −0.0556049 0.152773i
\(225\) −5.78811 + 3.79920i −0.385874 + 0.253280i
\(226\) 1.26657 1.06278i 0.0842508 0.0706948i
\(227\) −3.25682 18.4704i −0.216163 1.22592i −0.878877 0.477048i \(-0.841707\pi\)
0.662714 0.748873i \(-0.269404\pi\)
\(228\) −0.887976 −0.0588076
\(229\) 1.58566 + 8.99274i 0.104784 + 0.594257i 0.991307 + 0.131572i \(0.0420026\pi\)
−0.886523 + 0.462684i \(0.846886\pi\)
\(230\) −1.18556 + 20.1937i −0.0781737 + 1.33154i
\(231\) −2.55509 2.14398i −0.168113 0.141063i
\(232\) 3.50388 2.02297i 0.230041 0.132814i
\(233\) −6.71498 3.87690i −0.439913 0.253984i 0.263648 0.964619i \(-0.415074\pi\)
−0.703561 + 0.710635i \(0.748408\pi\)
\(234\) 7.64861 2.78387i 0.500005 0.181987i
\(235\) 15.7069 + 6.78394i 1.02460 + 0.442536i
\(236\) −7.76917 + 4.48554i −0.505730 + 0.291983i
\(237\) 0.0656965 0.372584i 0.00426745 0.0242019i
\(238\) 9.47820 + 1.67126i 0.614381 + 0.108332i
\(239\) −1.16301 + 1.38602i −0.0752288 + 0.0896542i −0.802346 0.596859i \(-0.796415\pi\)
0.727117 + 0.686513i \(0.240860\pi\)
\(240\) −0.328613 2.82284i −0.0212119 0.182213i
\(241\) −1.67662 + 4.60646i −0.108000 + 0.296728i −0.981907 0.189366i \(-0.939357\pi\)
0.873906 + 0.486094i \(0.161579\pi\)
\(242\) 7.53536 + 6.32292i 0.484391 + 0.406453i
\(243\) −12.7989 2.25678i −0.821047 0.144773i
\(244\) −11.8656 2.09222i −0.759615 0.133941i
\(245\) 2.01581 + 1.32716i 0.128785 + 0.0847892i
\(246\) −4.89478 5.83337i −0.312080 0.371922i
\(247\) 1.40464 + 3.85920i 0.0893748 + 0.245555i
\(248\) 3.32453 + 1.91942i 0.211108 + 0.121883i
\(249\) −9.07313 15.7151i −0.574986 0.995905i
\(250\) 8.57464 7.17464i 0.542308 0.453764i
\(251\) 9.87930 + 5.70382i 0.623576 + 0.360022i 0.778260 0.627942i \(-0.216103\pi\)
−0.154684 + 0.987964i \(0.549436\pi\)
\(252\) 3.31817 0.585082i 0.209025 0.0368567i
\(253\) 9.75713 0.613426
\(254\) 4.26508 0.752049i 0.267615 0.0471878i
\(255\) 10.3194 + 4.45706i 0.646229 + 0.279112i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −17.5936 + 6.40353i −1.09746 + 0.399441i −0.826378 0.563116i \(-0.809602\pi\)
−0.271078 + 0.962557i \(0.587380\pi\)
\(258\) 2.85091i 0.177490i
\(259\) 13.1374 6.81711i 0.816319 0.423595i
\(260\) −11.7484 + 5.89346i −0.728607 + 0.365497i
\(261\) 1.91616 + 5.26461i 0.118607 + 0.325871i
\(262\) −1.62105 + 4.45380i −0.100149 + 0.275157i
\(263\) −14.0217 16.7104i −0.864616 1.03041i −0.999219 0.0395099i \(-0.987420\pi\)
0.134603 0.990900i \(-0.457024\pi\)
\(264\) −1.34995 + 0.238033i −0.0830839 + 0.0146499i
\(265\) 7.85463 + 15.6580i 0.482506 + 0.961862i
\(266\) 0.295211 + 1.67422i 0.0181005 + 0.102653i
\(267\) −7.79412 + 13.4998i −0.476992 + 0.826175i
\(268\) 2.63181 3.13646i 0.160763 0.191590i
\(269\) −6.13693 10.6295i −0.374175 0.648090i 0.616028 0.787724i \(-0.288741\pi\)
−0.990203 + 0.139634i \(0.955407\pi\)
\(270\) 12.4395 + 0.730317i 0.757045 + 0.0444457i
\(271\) −4.11051 + 1.49610i −0.249695 + 0.0908817i −0.463836 0.885921i \(-0.653527\pi\)
0.214140 + 0.976803i \(0.431305\pi\)
\(272\) 3.03001 2.54248i 0.183721 0.154160i
\(273\) 9.08896 + 15.7425i 0.550089 + 0.952782i
\(274\) 20.6221 + 3.63623i 1.24583 + 0.219673i
\(275\) −3.69711 3.92601i −0.222944 0.236747i
\(276\) 7.39044 8.80759i 0.444852 0.530154i
\(277\) 20.3075 + 7.39133i 1.22016 + 0.444102i 0.870217 0.492669i \(-0.163979\pi\)
0.349943 + 0.936771i \(0.386201\pi\)
\(278\) 7.10289 + 2.58524i 0.426003 + 0.155052i
\(279\) −3.41687 + 4.07207i −0.204563 + 0.243788i
\(280\) −5.21304 + 1.55804i −0.311539 + 0.0931110i
\(281\) 19.2899 + 3.40133i 1.15074 + 0.202906i 0.716298 0.697794i \(-0.245835\pi\)
0.434440 + 0.900701i \(0.356946\pi\)
\(282\) −4.86229 8.42174i −0.289545 0.501507i
\(283\) −2.71956 + 2.28199i −0.161661 + 0.135650i −0.720030 0.693943i \(-0.755872\pi\)
0.558369 + 0.829593i \(0.311428\pi\)
\(284\) 10.0976 3.67522i 0.599182 0.218084i
\(285\) −0.116372 + 1.98216i −0.00689326 + 0.117413i
\(286\) 3.16992 + 5.49046i 0.187441 + 0.324658i
\(287\) −9.37118 + 11.1681i −0.553163 + 0.659234i
\(288\) 0.692360 1.19920i 0.0407977 0.0706637i
\(289\) −0.235273 1.33430i −0.0138396 0.0784882i
\(290\) −4.05652 8.08656i −0.238207 0.474859i
\(291\) 6.50906 1.14772i 0.381568 0.0672807i
\(292\) 0.0618451 + 0.0737042i 0.00361921 + 0.00431321i
\(293\) 6.51994 17.9134i 0.380899 1.04651i −0.590080 0.807345i \(-0.700904\pi\)
0.970979 0.239166i \(-0.0768741\pi\)
\(294\) −0.469173 1.28904i −0.0273627 0.0751785i
\(295\) 8.99455 + 17.9304i 0.523683 + 1.04395i
\(296\) 1.32430 5.93685i 0.0769736 0.345073i
\(297\) 6.01048i 0.348763i
\(298\) −5.86440 + 2.13447i −0.339715 + 0.123646i
\(299\) −49.9689 18.1872i −2.88977 1.05179i
\(300\) −6.34427 + 0.363598i −0.366287 + 0.0209924i
\(301\) −5.37522 + 0.947796i −0.309822 + 0.0546300i
\(302\) −5.03471 −0.289715
\(303\) 21.4773 3.78703i 1.23384 0.217559i
\(304\) 0.605073 + 0.349339i 0.0347033 + 0.0200360i
\(305\) −6.22531 + 26.2124i −0.356460 + 1.50092i
\(306\) 2.73855 + 4.74331i 0.156553 + 0.271157i
\(307\) −1.85530 1.07116i −0.105888 0.0611342i 0.446121 0.894973i \(-0.352805\pi\)
−0.552009 + 0.833838i \(0.686138\pi\)
\(308\) 0.897594 + 2.46612i 0.0511452 + 0.140520i
\(309\) −10.5399 12.5610i −0.599593 0.714568i
\(310\) 4.72026 7.16955i 0.268093 0.407203i
\(311\) 0.577196 + 0.101775i 0.0327298 + 0.00577114i 0.189989 0.981786i \(-0.439155\pi\)
−0.157259 + 0.987557i \(0.550266\pi\)
\(312\) 7.35716 + 1.29727i 0.416517 + 0.0734432i
\(313\) −16.0499 13.4675i −0.907193 0.761226i 0.0643896 0.997925i \(-0.479490\pi\)
−0.971583 + 0.236699i \(0.923934\pi\)
\(314\) 1.39866 3.84280i 0.0789312 0.216862i
\(315\) −0.871180 7.48357i −0.0490855 0.421651i
\(316\) −0.191344 + 0.228035i −0.0107640 + 0.0128280i
\(317\) 10.6354 + 1.87531i 0.597345 + 0.105328i 0.464142 0.885761i \(-0.346363\pi\)
0.133203 + 0.991089i \(0.457474\pi\)
\(318\) 1.72896 9.80542i 0.0969552 0.549860i
\(319\) −3.77914 + 2.18189i −0.211591 + 0.122162i
\(320\) −0.886615 + 2.05278i −0.0495633 + 0.114754i
\(321\) −1.43421 + 0.522011i −0.0800499 + 0.0291358i
\(322\) −19.0632 11.0061i −1.06235 0.613347i
\(323\) −2.39330 + 1.38177i −0.133167 + 0.0768839i
\(324\) −2.24328 1.88234i −0.124627 0.104574i
\(325\) 11.6159 + 26.9975i 0.644331 + 1.49755i
\(326\) −3.46859 19.6714i −0.192108 1.08950i
\(327\) −15.3486 −0.848781
\(328\) 1.04043 + 5.90056i 0.0574480 + 0.325804i
\(329\) −14.2622 + 11.9674i −0.786300 + 0.659784i
\(330\) 0.354428 + 3.04459i 0.0195106 + 0.167599i
\(331\) −7.94257 21.8220i −0.436563 1.19945i −0.941713 0.336416i \(-0.890785\pi\)
0.505150 0.863031i \(-0.331437\pi\)
\(332\) 14.2779i 0.783599i
\(333\) 7.77755 + 3.23347i 0.426207 + 0.177193i
\(334\) −9.02925 −0.494059
\(335\) −6.65639 6.28582i −0.363677 0.343431i
\(336\) 2.90600 + 1.05770i 0.158535 + 0.0577020i
\(337\) −4.16895 4.96836i −0.227097 0.270644i 0.640449 0.768001i \(-0.278748\pi\)
−0.867546 + 0.497357i \(0.834304\pi\)
\(338\) −3.74242 21.2243i −0.203561 1.15445i
\(339\) 2.10135i 0.114130i
\(340\) −5.27829 7.09685i −0.286255 0.384881i
\(341\) −3.58569 2.07020i −0.194176 0.112108i
\(342\) −0.621880 + 0.741127i −0.0336274 + 0.0400756i
\(343\) −17.0252 + 9.82949i −0.919273 + 0.530742i
\(344\) −1.12158 + 1.94263i −0.0604714 + 0.104740i
\(345\) −18.6920 17.6514i −1.00634 0.950319i
\(346\) −5.86998 6.99557i −0.315572 0.376084i
\(347\) 12.4617 + 21.5843i 0.668979 + 1.15871i 0.978190 + 0.207713i \(0.0666019\pi\)
−0.309210 + 0.950994i \(0.600065\pi\)
\(348\) −0.892921 + 5.06400i −0.0478656 + 0.271459i
\(349\) −5.21759 + 29.5904i −0.279291 + 1.58394i 0.445700 + 0.895182i \(0.352955\pi\)
−0.724992 + 0.688758i \(0.758156\pi\)
\(350\) 2.79472 + 11.8409i 0.149384 + 0.632921i
\(351\) −11.2035 + 30.7813i −0.597997 + 1.64298i
\(352\) 1.01351 + 0.368888i 0.0540204 + 0.0196618i
\(353\) −19.6999 16.5302i −1.04852 0.879812i −0.0555825 0.998454i \(-0.517702\pi\)
−0.992937 + 0.118642i \(0.962146\pi\)
\(354\) 1.97988 11.2284i 0.105229 0.596785i
\(355\) −6.88061 23.0217i −0.365185 1.22187i
\(356\) 10.6219 6.13258i 0.562962 0.325026i
\(357\) −9.37028 + 7.86260i −0.495928 + 0.416133i
\(358\) 4.22054 + 11.5958i 0.223062 + 0.612859i
\(359\) −4.65048 + 8.05487i −0.245443 + 0.425120i −0.962256 0.272146i \(-0.912267\pi\)
0.716813 + 0.697265i \(0.245600\pi\)
\(360\) −2.58615 1.70266i −0.136302 0.0897381i
\(361\) 14.1809 + 11.8992i 0.746363 + 0.626273i
\(362\) −1.89465 + 3.28163i −0.0995806 + 0.172479i
\(363\) −12.3119 + 2.17092i −0.646208 + 0.113944i
\(364\) 14.3028i 0.749669i
\(365\) 0.172629 0.128393i 0.00903583 0.00672040i
\(366\) 11.7305 9.84302i 0.613160 0.514503i
\(367\) −8.25956 + 22.6929i −0.431145 + 1.18456i 0.513965 + 0.857811i \(0.328176\pi\)
−0.945110 + 0.326751i \(0.894046\pi\)
\(368\) −8.50090 + 3.09407i −0.443140 + 0.161290i
\(369\) −8.29666 −0.431907
\(370\) −13.0788 3.73418i −0.679936 0.194131i
\(371\) −19.0623 −0.989666
\(372\) −4.58468 + 1.66869i −0.237705 + 0.0865174i
\(373\) −4.80248 + 13.1947i −0.248663 + 0.683196i 0.751073 + 0.660219i \(0.229537\pi\)
−0.999736 + 0.0229766i \(0.992686\pi\)
\(374\) −3.26803 + 2.74221i −0.168986 + 0.141796i
\(375\) −0.0198010 + 14.2095i −0.00102252 + 0.733775i
\(376\) 7.65151i 0.394597i
\(377\) 23.4210 4.12975i 1.20624 0.212693i
\(378\) −6.77986 + 11.7431i −0.348719 + 0.603998i
\(379\) −7.22523 6.06268i −0.371135 0.311419i 0.438075 0.898938i \(-0.355660\pi\)
−0.809210 + 0.587519i \(0.800105\pi\)
\(380\) 0.859100 1.30488i 0.0440709 0.0669388i
\(381\) −2.75214 + 4.76684i −0.140996 + 0.244213i
\(382\) 8.08902 + 22.2244i 0.413870 + 1.13710i
\(383\) 7.32984 6.15047i 0.374538 0.314274i −0.436016 0.899939i \(-0.643611\pi\)
0.810553 + 0.585665i \(0.199166\pi\)
\(384\) 1.10066 0.635469i 0.0561680 0.0324286i
\(385\) 5.62257 1.68044i 0.286552 0.0856432i
\(386\) −2.28301 + 12.9476i −0.116202 + 0.659014i
\(387\) −2.37944 1.99659i −0.120954 0.101492i
\(388\) −4.88685 1.77867i −0.248092 0.0902981i
\(389\) 3.01354 8.27964i 0.152793 0.419794i −0.839554 0.543276i \(-0.817184\pi\)
0.992347 + 0.123481i \(0.0394060\pi\)
\(390\) 3.85997 16.2528i 0.195457 0.822994i
\(391\) 6.21353 35.2387i 0.314232 1.78210i
\(392\) −0.187425 + 1.06294i −0.00946640 + 0.0536866i
\(393\) −3.01189 5.21675i −0.151930 0.263150i
\(394\) −17.2729 20.5850i −0.870195 1.03706i
\(395\) 0.483950 + 0.457008i 0.0243502 + 0.0229946i
\(396\) −0.746750 + 1.29341i −0.0375256 + 0.0649962i
\(397\) 12.8990 7.44724i 0.647382 0.373766i −0.140070 0.990142i \(-0.544733\pi\)
0.787453 + 0.616375i \(0.211400\pi\)
\(398\) 6.56244 7.82081i 0.328945 0.392022i
\(399\) −1.87119 1.08033i −0.0936765 0.0540841i
\(400\) 4.46608 + 2.24815i 0.223304 + 0.112407i
\(401\) 7.58921i 0.378987i −0.981882 0.189494i \(-0.939315\pi\)
0.981882 0.189494i \(-0.0606846\pi\)
\(402\) 0.903609 + 5.12462i 0.0450679 + 0.255593i
\(403\) 14.5045 + 17.2858i 0.722519 + 0.861065i
\(404\) −16.1247 5.86890i −0.802232 0.291989i
\(405\) −4.49579 + 4.76082i −0.223397 + 0.236567i
\(406\) 9.84473 0.488586
\(407\) −1.42834 + 6.40324i −0.0708001 + 0.317397i
\(408\) 5.02705i 0.248876i
\(409\) −4.25236 11.6833i −0.210266 0.577701i 0.789064 0.614311i \(-0.210566\pi\)
−0.999330 + 0.0366107i \(0.988344\pi\)
\(410\) 13.3077 1.54918i 0.657221 0.0765087i
\(411\) −20.3873 + 17.1070i −1.00563 + 0.843824i
\(412\) 2.24034 + 12.7056i 0.110374 + 0.625961i
\(413\) −21.8288 −1.07412
\(414\) −2.17526 12.3365i −0.106908 0.606306i
\(415\) 31.8714 + 1.87115i 1.56450 + 0.0918512i
\(416\) −4.50286 3.77835i −0.220771 0.185249i
\(417\) −8.31963 + 4.80334i −0.407414 + 0.235221i
\(418\) −0.652606 0.376782i −0.0319200 0.0184290i
\(419\) −0.492147 + 0.179127i −0.0240430 + 0.00875092i −0.354014 0.935240i \(-0.615183\pi\)
0.329971 + 0.943991i \(0.392961\pi\)
\(420\) 2.74185 6.34822i 0.133789 0.309761i
\(421\) −13.6218 + 7.86458i −0.663888 + 0.383296i −0.793757 0.608235i \(-0.791878\pi\)
0.129869 + 0.991531i \(0.458544\pi\)
\(422\) 4.52736 25.6759i 0.220388 1.24988i
\(423\) −10.4342 1.83984i −0.507330 0.0894559i
\(424\) −5.03568 + 6.00129i −0.244554 + 0.291448i
\(425\) −16.5335 + 10.8523i −0.801992 + 0.526412i
\(426\) −4.67098 + 12.8334i −0.226310 + 0.621781i
\(427\) −22.4582 18.8447i −1.08683 0.911959i
\(428\) 1.18265 + 0.208533i 0.0571654 + 0.0100798i
\(429\) −7.93512 1.39918i −0.383111 0.0675529i
\(430\) 4.18940 + 2.75820i 0.202031 + 0.133012i
\(431\) 1.75090 + 2.08664i 0.0843380 + 0.100510i 0.806563 0.591148i \(-0.201325\pi\)
−0.722225 + 0.691658i \(0.756881\pi\)
\(432\) 1.90598 + 5.23663i 0.0917013 + 0.251947i
\(433\) 17.1961 + 9.92816i 0.826391 + 0.477117i 0.852615 0.522539i \(-0.175015\pi\)
−0.0262243 + 0.999656i \(0.508348\pi\)
\(434\) 4.67041 + 8.08938i 0.224187 + 0.388303i
\(435\) 11.1870 + 2.65685i 0.536374 + 0.127386i
\(436\) 10.4587 + 6.03831i 0.500879 + 0.289183i
\(437\) 6.22454 1.09755i 0.297760 0.0525032i
\(438\) −0.122282 −0.00584285
\(439\) 27.5270 4.85376i 1.31379 0.231657i 0.527524 0.849540i \(-0.323121\pi\)
0.786270 + 0.617883i \(0.212010\pi\)
\(440\) 0.956265 2.21404i 0.0455882 0.105550i
\(441\) −1.40445 0.511176i −0.0668784 0.0243417i
\(442\) 21.8479 7.95199i 1.03920 0.378238i
\(443\) 22.8450i 1.08540i −0.839927 0.542699i \(-0.817402\pi\)
0.839927 0.542699i \(-0.182598\pi\)
\(444\) 4.69821 + 6.13940i 0.222967 + 0.291363i
\(445\) −12.2973 24.5142i −0.582946 1.16209i
\(446\) 0.563257 + 1.54754i 0.0266710 + 0.0732780i
\(447\) 2.71277 7.45328i 0.128310 0.352528i
\(448\) −1.56406 1.86397i −0.0738948 0.0880643i
\(449\) 12.4686 2.19856i 0.588431 0.103756i 0.128498 0.991710i \(-0.458984\pi\)
0.459933 + 0.887953i \(0.347873\pi\)
\(450\) −4.13964 + 5.54973i −0.195145 + 0.261617i
\(451\) −1.12216 6.36409i −0.0528405 0.299673i
\(452\) 0.826693 1.43187i 0.0388844 0.0673497i
\(453\) 4.11307 4.90176i 0.193249 0.230305i
\(454\) −9.37765 16.2426i −0.440115 0.762301i
\(455\) −31.9270 1.87442i −1.49676 0.0878740i
\(456\) −0.834424 + 0.303706i −0.0390755 + 0.0142223i
\(457\) 15.2111 12.7636i 0.711546 0.597058i −0.213486 0.976946i \(-0.568482\pi\)
0.925033 + 0.379888i \(0.124037\pi\)
\(458\) 4.56573 + 7.90808i 0.213343 + 0.369520i
\(459\) −21.7073 3.82759i −1.01321 0.178657i
\(460\) 5.79260 + 19.3814i 0.270081 + 0.903662i
\(461\) −6.98381 + 8.32299i −0.325269 + 0.387640i −0.903754 0.428053i \(-0.859200\pi\)
0.578485 + 0.815693i \(0.303644\pi\)
\(462\) −3.13428 1.14079i −0.145820 0.0530742i
\(463\) 5.62872 + 2.04869i 0.261589 + 0.0952105i 0.469485 0.882940i \(-0.344440\pi\)
−0.207897 + 0.978151i \(0.566662\pi\)
\(464\) 2.60068 3.09936i 0.120733 0.143884i
\(465\) 3.12405 + 10.4527i 0.144874 + 0.484734i
\(466\) −7.63600 1.34643i −0.353731 0.0623723i
\(467\) 18.0030 + 31.1820i 0.833078 + 1.44293i 0.895586 + 0.444889i \(0.146757\pi\)
−0.0625080 + 0.998044i \(0.519910\pi\)
\(468\) 6.23520 5.23196i 0.288222 0.241847i
\(469\) 9.36176 3.40740i 0.432286 0.157339i
\(470\) 17.0799 + 1.00275i 0.787837 + 0.0462535i
\(471\) 2.59870 + 4.50108i 0.119742 + 0.207399i
\(472\) −5.76649 + 6.87224i −0.265424 + 0.316320i
\(473\) 1.20969 2.09524i 0.0556214 0.0963391i
\(474\) −0.0656965 0.372584i −0.00301754 0.0171133i
\(475\) −2.80019 2.08871i −0.128482 0.0958366i
\(476\) 9.47820 1.67126i 0.434433 0.0766022i
\(477\) −6.97300 8.31010i −0.319272 0.380493i
\(478\) −0.618825 + 1.70021i −0.0283044 + 0.0777656i
\(479\) −13.3126 36.5762i −0.608270 1.67121i −0.734004 0.679145i \(-0.762351\pi\)
0.125734 0.992064i \(-0.459871\pi\)
\(480\) −1.27426 2.54021i −0.0581619 0.115944i
\(481\) 19.2505 30.1303i 0.877745 1.37382i
\(482\) 4.90209i 0.223284i
\(483\) 26.2890 9.56841i 1.19619 0.435378i
\(484\) 9.24349 + 3.36435i 0.420159 + 0.152925i
\(485\) −4.61082 + 10.6754i −0.209366 + 0.484747i
\(486\) −12.7989 + 2.25678i −0.580568 + 0.102370i
\(487\) −26.1658 −1.18569 −0.592843 0.805318i \(-0.701995\pi\)
−0.592843 + 0.805318i \(0.701995\pi\)
\(488\) −11.8656 + 2.09222i −0.537129 + 0.0947103i
\(489\) 21.9856 + 12.6934i 0.994222 + 0.574014i
\(490\) 2.34816 + 0.557676i 0.106079 + 0.0251932i
\(491\) 16.7368 + 28.9889i 0.755320 + 1.30825i 0.945215 + 0.326448i \(0.105852\pi\)
−0.189896 + 0.981804i \(0.560815\pi\)
\(492\) −6.59472 3.80746i −0.297313 0.171654i
\(493\) 5.47343 + 15.0381i 0.246511 + 0.677283i
\(494\) 2.63985 + 3.14605i 0.118773 + 0.141548i
\(495\) 2.78931 + 1.83642i 0.125370 + 0.0825408i
\(496\) 3.78051 + 0.666607i 0.169750 + 0.0299315i
\(497\) 25.7495 + 4.54033i 1.15502 + 0.203662i
\(498\) −13.9008 11.6642i −0.622911 0.522685i
\(499\) 1.88387 5.17590i 0.0843337 0.231705i −0.890357 0.455263i \(-0.849545\pi\)
0.974691 + 0.223558i \(0.0717673\pi\)
\(500\) 5.60366 9.67466i 0.250603 0.432664i
\(501\) 7.37638 8.79083i 0.329552 0.392745i
\(502\) 11.2343 + 1.98091i 0.501413 + 0.0884126i
\(503\) 4.59324 26.0496i 0.204803 1.16149i −0.692948 0.720988i \(-0.743688\pi\)
0.897750 0.440505i \(-0.145201\pi\)
\(504\) 2.91795 1.68468i 0.129976 0.0750415i
\(505\) −15.2139 + 35.2247i −0.677009 + 1.56748i
\(506\) 9.16871 3.33714i 0.407599 0.148354i
\(507\) 23.7212 + 13.6954i 1.05350 + 0.608236i
\(508\) 3.75065 2.16544i 0.166408 0.0960759i
\(509\) 6.42650 + 5.39247i 0.284849 + 0.239017i 0.774005 0.633179i \(-0.218251\pi\)
−0.489156 + 0.872197i \(0.662695\pi\)
\(510\) 11.2215 + 0.658809i 0.496897 + 0.0291725i
\(511\) 0.0406531 + 0.230555i 0.00179839 + 0.0101992i
\(512\) −1.00000 −0.0441942
\(513\) −0.676103 3.83437i −0.0298507 0.169292i
\(514\) −14.3424 + 12.0347i −0.632616 + 0.530828i
\(515\) 28.6554 3.33584i 1.26271 0.146995i
\(516\) −0.975068 2.67898i −0.0429250 0.117935i
\(517\) 8.25260i 0.362949i
\(518\) 10.0135 10.8992i 0.439969 0.478885i
\(519\) 11.6063 0.509460
\(520\) −9.02424 + 9.55624i −0.395739 + 0.419069i
\(521\) 31.0040 + 11.2845i 1.35831 + 0.494384i 0.915531 0.402247i \(-0.131771\pi\)
0.442778 + 0.896631i \(0.353993\pi\)
\(522\) 3.60120 + 4.29175i 0.157620 + 0.187845i
\(523\) 6.17373 + 35.0130i 0.269958 + 1.53101i 0.754534 + 0.656260i \(0.227863\pi\)
−0.484576 + 0.874749i \(0.661026\pi\)
\(524\) 4.73964i 0.207052i
\(525\) −13.8113 6.95238i −0.602776 0.303427i
\(526\) −18.8914 10.9070i −0.823705 0.475566i
\(527\) −9.76015 + 11.6317i −0.425159 + 0.506684i
\(528\) −1.18713 + 0.685389i −0.0516632 + 0.0298277i
\(529\) −29.4193 + 50.9557i −1.27910 + 2.21546i
\(530\) 12.7363 + 12.0273i 0.553229 + 0.522430i
\(531\) −7.98497 9.51612i −0.346518 0.412964i
\(532\) 0.850026 + 1.47229i 0.0368533 + 0.0638318i
\(533\) −6.11571 + 34.6839i −0.264901 + 1.50233i
\(534\) −2.70687 + 15.3514i −0.117138 + 0.664321i
\(535\) 0.620481 2.61260i 0.0268257 0.112953i
\(536\) 1.40035 3.84744i 0.0604861 0.166184i
\(537\) −14.7376 5.36404i −0.635973 0.231475i
\(538\) −9.40232 7.88948i −0.405363 0.340140i
\(539\) 0.202149 1.14644i 0.00870716 0.0493808i
\(540\) 11.9391 3.56829i 0.513777 0.153555i
\(541\) −1.77881 + 1.02700i −0.0764771 + 0.0441541i −0.537751 0.843104i \(-0.680726\pi\)
0.461274 + 0.887258i \(0.347393\pi\)
\(542\) −3.35091 + 2.81175i −0.143934 + 0.120775i
\(543\) −1.64716 4.52553i −0.0706863 0.194209i
\(544\) 1.97770 3.42547i 0.0847930 0.146866i
\(545\) 14.8495 22.5547i 0.636082 0.966139i
\(546\) 13.9251 + 11.6845i 0.595939 + 0.500052i
\(547\) 3.63042 6.28808i 0.155226 0.268859i −0.777915 0.628369i \(-0.783723\pi\)
0.933141 + 0.359510i \(0.117056\pi\)
\(548\) 20.6221 3.63623i 0.880932 0.155332i
\(549\) 16.6839i 0.712053i
\(550\) −4.81692 2.42475i −0.205394 0.103392i
\(551\) −2.16546 + 1.81703i −0.0922516 + 0.0774083i
\(552\) 3.93237 10.8041i 0.167373 0.459853i
\(553\) −0.680643 + 0.247734i −0.0289439 + 0.0105347i
\(554\) 21.6108 0.918155
\(555\) 14.3202 9.68286i 0.607860 0.411015i
\(556\) 7.55874 0.320562
\(557\) 1.82309 0.663551i 0.0772469 0.0281156i −0.303108 0.952956i \(-0.598024\pi\)
0.380355 + 0.924841i \(0.375802\pi\)
\(558\) −1.81808 + 4.99513i −0.0769654 + 0.211461i
\(559\) −10.1006 + 8.47543i −0.427211 + 0.358473i
\(560\) −4.36577 + 3.24705i −0.184488 + 0.137213i
\(561\) 5.42197i 0.228916i
\(562\) 19.2899 3.40133i 0.813695 0.143476i
\(563\) 14.2773 24.7290i 0.601717 1.04220i −0.390845 0.920457i \(-0.627817\pi\)
0.992561 0.121747i \(-0.0388496\pi\)
\(564\) −7.44947 6.25085i −0.313679 0.263208i
\(565\) −3.08792 2.03302i −0.129910 0.0855296i
\(566\) −1.77507 + 3.07451i −0.0746118 + 0.129231i
\(567\) −2.43706 6.69577i −0.102347 0.281196i
\(568\) 8.23163 6.90716i 0.345392 0.289818i
\(569\) 33.9187 19.5830i 1.42195 0.820962i 0.425482 0.904967i \(-0.360105\pi\)
0.996465 + 0.0840054i \(0.0267713\pi\)
\(570\) 0.568586 + 1.90242i 0.0238154 + 0.0796838i
\(571\) 3.28921 18.6540i 0.137649 0.780648i −0.835329 0.549750i \(-0.814723\pi\)
0.972978 0.230897i \(-0.0741661\pi\)
\(572\) 4.85660 + 4.07517i 0.203065 + 0.170391i
\(573\) −28.2458 10.2806i −1.17999 0.429480i
\(574\) −4.98630 + 13.6997i −0.208124 + 0.571816i
\(575\) 44.0228 10.3904i 1.83588 0.433310i
\(576\) 0.240454 1.36368i 0.0100189 0.0568201i
\(577\) 5.10497 28.9517i 0.212523 1.20528i −0.672631 0.739978i \(-0.734836\pi\)
0.885154 0.465298i \(-0.154053\pi\)
\(578\) −0.677441 1.17336i −0.0281778 0.0488055i
\(579\) −10.7406 12.8001i −0.446364 0.531956i
\(580\) −6.57765 6.21147i −0.273122 0.257917i
\(581\) −17.3707 + 30.0870i −0.720659 + 1.24822i
\(582\) 5.72397 3.30474i 0.237266 0.136986i
\(583\) 5.43127 6.47273i 0.224940 0.268073i
\(584\) 0.0833237 + 0.0481070i 0.00344796 + 0.00199068i
\(585\) −10.8618 14.6040i −0.449078 0.603802i
\(586\) 19.0630i 0.787487i
\(587\) −3.29520 18.6880i −0.136008 0.771337i −0.974153 0.225890i \(-0.927471\pi\)
0.838145 0.545447i \(-0.183640\pi\)
\(588\) −0.881757 1.05084i −0.0363631 0.0433358i
\(589\) −2.52036 0.917336i −0.103850 0.0377982i
\(590\) 14.5847 + 13.7727i 0.600441 + 0.567014i
\(591\) 34.1524 1.40484
\(592\) −0.786084 6.03176i −0.0323079 0.247904i
\(593\) 11.8449i 0.486413i 0.969975 + 0.243206i \(0.0781992\pi\)
−0.969975 + 0.243206i \(0.921801\pi\)
\(594\) −2.05570 5.64800i −0.0843466 0.231740i
\(595\) −2.48849 21.3765i −0.102018 0.876351i
\(596\) −4.78070 + 4.01148i −0.195825 + 0.164317i
\(597\) 2.25316 + 12.7783i 0.0922157 + 0.522981i
\(598\) −53.1758 −2.17452
\(599\) −1.74991 9.92421i −0.0714992 0.405492i −0.999461 0.0328177i \(-0.989552\pi\)
0.927962 0.372674i \(-0.121559\pi\)
\(600\) −5.83731 + 2.51154i −0.238307 + 0.102533i
\(601\) −8.15176 6.84014i −0.332517 0.279015i 0.461207 0.887292i \(-0.347416\pi\)
−0.793725 + 0.608277i \(0.791861\pi\)
\(602\) −4.72689 + 2.72907i −0.192654 + 0.111229i
\(603\) 4.90997 + 2.83477i 0.199949 + 0.115441i
\(604\) −4.73108 + 1.72197i −0.192505 + 0.0700660i
\(605\) 8.72138 20.1926i 0.354574 0.820947i
\(606\) 18.8869 10.9043i 0.767226 0.442958i
\(607\) −2.82902 + 16.0442i −0.114826 + 0.651213i 0.872010 + 0.489489i \(0.162817\pi\)
−0.986836 + 0.161724i \(0.948295\pi\)
\(608\) 0.688064 + 0.121324i 0.0279047 + 0.00492035i
\(609\) −8.04258 + 9.58477i −0.325902 + 0.388395i
\(610\) 3.11529 + 26.7608i 0.126134 + 1.08351i
\(611\) −15.3827 + 42.2637i −0.622319 + 1.70981i
\(612\) 4.19571 + 3.52062i 0.169601 + 0.142312i
\(613\) −24.0338 4.23782i −0.970718 0.171164i −0.334265 0.942479i \(-0.608488\pi\)
−0.636453 + 0.771315i \(0.719599\pi\)
\(614\) −2.10977 0.372009i −0.0851433 0.0150131i
\(615\) −9.36336 + 14.2219i −0.377567 + 0.573483i
\(616\) 1.68693 + 2.01040i 0.0679682 + 0.0810013i
\(617\) 1.12580 + 3.09312i 0.0453232 + 0.124524i 0.960289 0.279006i \(-0.0900051\pi\)
−0.914966 + 0.403531i \(0.867783\pi\)
\(618\) −14.2004 8.19858i −0.571222 0.329795i
\(619\) −11.1508 19.3137i −0.448188 0.776285i 0.550080 0.835112i \(-0.314597\pi\)
−0.998268 + 0.0588271i \(0.981264\pi\)
\(620\) 1.98346 8.35160i 0.0796578 0.335408i
\(621\) 43.6592 + 25.2066i 1.75198 + 1.01151i
\(622\) 0.577196 0.101775i 0.0231434 0.00408081i
\(623\) 29.8441 1.19568
\(624\) 7.35716 1.29727i 0.294522 0.0519322i
\(625\) −20.8616 13.7765i −0.834465 0.551060i
\(626\) −19.6881 7.16588i −0.786895 0.286406i
\(627\) 0.899975 0.327564i 0.0359415 0.0130816i
\(628\) 4.08942i 0.163186i
\(629\) 22.2162 + 9.23627i 0.885819 + 0.368274i
\(630\) −3.37817 6.73429i −0.134590 0.268301i
\(631\) −3.80487 10.4538i −0.151470 0.416159i 0.840630 0.541609i \(-0.182185\pi\)
−0.992100 + 0.125450i \(0.959963\pi\)
\(632\) −0.101812 + 0.279727i −0.00404987 + 0.0111269i
\(633\) 21.2993 + 25.3835i 0.846572 + 1.00891i
\(634\) 10.6354 1.87531i 0.422387 0.0744782i
\(635\) −4.34221 8.65608i −0.172316 0.343506i
\(636\) −1.72896 9.80542i −0.0685577 0.388810i
\(637\) −3.17221 + 5.49443i −0.125688 + 0.217697i
\(638\) −2.80498 + 3.34284i −0.111050 + 0.132344i
\(639\) 7.43984 + 12.8862i 0.294316 + 0.509770i
\(640\) −0.131053 + 2.23222i −0.00518031 + 0.0882364i
\(641\) −40.8165 + 14.8560i −1.61215 + 0.586776i −0.981865 0.189583i \(-0.939286\pi\)
−0.630290 + 0.776360i \(0.717064\pi\)
\(642\) −1.16918 + 0.981059i −0.0461439 + 0.0387193i
\(643\) 1.59851 + 2.76871i 0.0630393 + 0.109187i 0.895823 0.444412i \(-0.146587\pi\)
−0.832783 + 0.553599i \(0.813254\pi\)
\(644\) −21.6778 3.82238i −0.854226 0.150623i
\(645\) −6.10787 + 1.82548i −0.240497 + 0.0718784i
\(646\) −1.77637 + 2.11700i −0.0698904 + 0.0832922i
\(647\) 3.93506 + 1.43225i 0.154703 + 0.0563074i 0.418211 0.908350i \(-0.362657\pi\)
−0.263508 + 0.964657i \(0.584879\pi\)
\(648\) −2.75179 1.00157i −0.108101 0.0393454i
\(649\) 6.21949 7.41210i 0.244136 0.290951i
\(650\) 20.1490 + 21.3965i 0.790310 + 0.839240i
\(651\) −11.6912 2.06148i −0.458215 0.0807957i
\(652\) −9.98742 17.2987i −0.391137 0.677470i
\(653\) 28.4766 23.8947i 1.11438 0.935073i 0.116070 0.993241i \(-0.462970\pi\)
0.998307 + 0.0581681i \(0.0185259\pi\)
\(654\) −14.4230 + 5.24954i −0.563983 + 0.205273i
\(655\) 10.5799 + 0.621142i 0.413392 + 0.0242700i
\(656\) 2.99579 + 5.18886i 0.116966 + 0.202591i
\(657\) −0.0856381 + 0.102060i −0.00334106 + 0.00398172i
\(658\) −9.30899 + 16.1236i −0.362902 + 0.628565i
\(659\) −6.47563 36.7251i −0.252255 1.43061i −0.803022 0.595949i \(-0.796776\pi\)
0.550767 0.834659i \(-0.314335\pi\)
\(660\) 1.37437 + 2.73976i 0.0534971 + 0.106645i
\(661\) 8.09644 1.42762i 0.314915 0.0555280i −0.0139567 0.999903i \(-0.504443\pi\)
0.328872 + 0.944375i \(0.393332\pi\)
\(662\) −14.9272 17.7895i −0.580160 0.691408i
\(663\) −10.1065 + 27.7673i −0.392503 + 1.07839i
\(664\) 4.88331 + 13.4168i 0.189509 + 0.520673i
\(665\) 3.39788 1.70450i 0.131764 0.0660977i
\(666\) 8.41441 + 0.378390i 0.326052 + 0.0146623i
\(667\) 36.6014i 1.41721i
\(668\) −8.48472 + 3.08819i −0.328284 + 0.119486i
\(669\) −1.96682 0.715865i −0.0760417 0.0276769i
\(670\) −8.40484 3.63012i −0.324707 0.140244i
\(671\) 12.7977 2.25658i 0.494049 0.0871142i
\(672\) 3.09250 0.119296
\(673\) 29.8649 5.26598i 1.15121 0.202989i 0.434704 0.900573i \(-0.356853\pi\)
0.716502 + 0.697585i \(0.245742\pi\)
\(674\) −5.61681 3.24287i −0.216351 0.124911i
\(675\) −6.40058 27.1184i −0.246358 1.04379i
\(676\) −10.7759 18.6643i −0.414456 0.717859i
\(677\) 24.9696 + 14.4162i 0.959659 + 0.554059i 0.896068 0.443917i \(-0.146411\pi\)
0.0635907 + 0.997976i \(0.479745\pi\)
\(678\) 0.718704 + 1.97462i 0.0276017 + 0.0758349i
\(679\) −8.13384 9.69353i −0.312148 0.372004i
\(680\) −7.38723 4.86358i −0.283287 0.186510i
\(681\) 23.4747 + 4.13922i 0.899551 + 0.158615i
\(682\) −4.07750 0.718974i −0.156136 0.0275309i
\(683\) 28.1200 + 23.5955i 1.07598 + 0.902857i 0.995581 0.0939060i \(-0.0299353\pi\)
0.0804015 + 0.996763i \(0.474380\pi\)
\(684\) −0.330895 + 0.909127i −0.0126521 + 0.0347613i
\(685\) −5.41430 46.5097i −0.206870 1.77704i
\(686\) −12.6365 + 15.0596i −0.482466 + 0.574980i
\(687\) −11.4292 2.01528i −0.436051 0.0768876i
\(688\) −0.389520 + 2.20908i −0.0148503 + 0.0842203i
\(689\) −39.8801 + 23.0248i −1.51931 + 0.877174i
\(690\) −23.6018 10.1938i −0.898507 0.388073i
\(691\) 4.44315 1.61717i 0.169025 0.0615202i −0.256121 0.966645i \(-0.582445\pi\)
0.425147 + 0.905124i \(0.360222\pi\)
\(692\) −7.90861 4.56604i −0.300640 0.173575i
\(693\) −3.14717 + 1.81702i −0.119551 + 0.0690229i
\(694\) 19.0924 + 16.0205i 0.724739 + 0.608128i
\(695\) 0.990593 16.8728i 0.0375753 0.640022i
\(696\) 0.892921 + 5.06400i 0.0338461 + 0.191951i
\(697\) −23.6991 −0.897666
\(698\) 5.21759 + 29.5904i 0.197489 + 1.12001i
\(699\) 7.54905 6.33440i 0.285531 0.239589i
\(700\) 6.67599 + 10.1709i 0.252329 + 0.384425i
\(701\) −7.86506 21.6091i −0.297059 0.816163i −0.994988 0.0999960i \(-0.968117\pi\)
0.697929 0.716167i \(-0.254105\pi\)
\(702\) 32.7567i 1.23632i
\(703\) −0.190922 + 4.24560i −0.00720075 + 0.160126i
\(704\) 1.07856 0.0406497
\(705\) −14.9296 + 15.8097i −0.562280 + 0.595427i
\(706\) −24.1655 8.79552i −0.909481 0.331024i
\(707\) −26.8385 31.9848i −1.00936 1.20291i
\(708\) −1.97988 11.2284i −0.0744084 0.421991i
\(709\) 31.7787i 1.19347i 0.802437 + 0.596737i \(0.203536\pi\)
−0.802437 + 0.596737i \(0.796464\pi\)
\(710\) −14.3396 19.2801i −0.538154 0.723568i
\(711\) −0.356977 0.206101i −0.0133877 0.00772939i
\(712\) 7.88389 9.39566i 0.295461 0.352117i
\(713\) 30.0752 17.3639i 1.12633 0.650285i
\(714\) −6.11602 + 10.5932i −0.228886 + 0.396442i
\(715\) 9.73316 10.3070i 0.364000 0.385458i
\(716\) 7.93202 + 9.45301i 0.296433 + 0.353276i
\(717\) −1.14977 1.99146i −0.0429388 0.0743723i
\(718\) −1.61509 + 9.15966i −0.0602748 + 0.341835i
\(719\) −5.05214 + 28.6521i −0.188413 + 1.06854i 0.733078 + 0.680144i \(0.238083\pi\)
−0.921491 + 0.388399i \(0.873028\pi\)
\(720\) −3.01253 0.715461i −0.112270 0.0266637i
\(721\) −10.7370 + 29.4996i −0.399865 + 1.09862i
\(722\) 17.3954 + 6.33143i 0.647392 + 0.235631i
\(723\) −4.77265 4.00473i −0.177497 0.148938i
\(724\) −0.658005 + 3.73173i −0.0244546 + 0.138689i
\(725\) −14.7274 + 13.8688i −0.546962 + 0.515073i
\(726\) −10.8269 + 6.25092i −0.401824 + 0.231993i
\(727\) 13.2103 11.0847i 0.489942 0.411110i −0.364063 0.931374i \(-0.618611\pi\)
0.854006 + 0.520264i \(0.174166\pi\)
\(728\) −4.89183 13.4402i −0.181303 0.498127i
\(729\) 12.6513 21.9128i 0.468568 0.811583i
\(730\) 0.118305 0.179693i 0.00437868 0.00665073i
\(731\) −6.79677 5.70317i −0.251388 0.210939i
\(732\) 7.65651 13.2615i 0.282993 0.490158i
\(733\) −13.3168 + 2.34812i −0.491869 + 0.0867298i −0.414081 0.910240i \(-0.635897\pi\)
−0.0777881 + 0.996970i \(0.524786\pi\)
\(734\) 24.1493i 0.891368i
\(735\) −2.46126 + 1.83056i −0.0907850 + 0.0675214i
\(736\) −6.92999 + 5.81496i −0.255443 + 0.214342i
\(737\) −1.51036 + 4.14969i −0.0556349 + 0.152856i
\(738\) −7.79631 + 2.83762i −0.286986 + 0.104454i
\(739\) 35.1115 1.29160 0.645798 0.763508i \(-0.276525\pi\)
0.645798 + 0.763508i \(0.276525\pi\)
\(740\) −13.5672 + 0.964239i −0.498742 + 0.0354461i
\(741\) −5.21959 −0.191746
\(742\) −17.9127 + 6.51970i −0.657597 + 0.239346i
\(743\) −8.07319 + 22.1809i −0.296177 + 0.813739i 0.698953 + 0.715167i \(0.253650\pi\)
−0.995130 + 0.0985716i \(0.968573\pi\)
\(744\) −3.73747 + 3.13611i −0.137022 + 0.114975i
\(745\) 8.32801 + 11.1973i 0.305115 + 0.410238i
\(746\) 14.0415i 0.514096i
\(747\) −19.4705 + 3.43317i −0.712387 + 0.125613i
\(748\) −2.13306 + 3.69457i −0.0779923 + 0.135087i
\(749\) 2.23843 + 1.87826i 0.0817903 + 0.0686302i
\(750\) 4.84133 + 13.3593i 0.176780 + 0.487814i
\(751\) 22.7321 39.3732i 0.829506 1.43675i −0.0689201 0.997622i \(-0.521955\pi\)
0.898426 0.439125i \(-0.144711\pi\)
\(752\) 2.61697 + 7.19007i 0.0954311 + 0.262195i
\(753\) −11.1064 + 9.31938i −0.404740 + 0.339617i
\(754\) 20.5961 11.8911i 0.750064 0.433050i
\(755\) 3.22381 + 10.7865i 0.117326 + 0.392561i
\(756\) −2.35462 + 13.3537i −0.0856368 + 0.485670i
\(757\) 26.5103 + 22.2448i 0.963533 + 0.808500i 0.981524 0.191338i \(-0.0612826\pi\)
−0.0179911 + 0.999838i \(0.505727\pi\)
\(758\) −8.86305 3.22589i −0.321921 0.117169i
\(759\) −4.24129 + 11.6528i −0.153949 + 0.422972i
\(760\) 0.360995 1.52001i 0.0130947 0.0551366i
\(761\) 2.82580 16.0259i 0.102435 0.580938i −0.889779 0.456392i \(-0.849141\pi\)
0.992214 0.124546i \(-0.0397474\pi\)
\(762\) −0.955807 + 5.42065i −0.0346252 + 0.196370i
\(763\) 14.6927 + 25.4484i 0.531910 + 0.921295i
\(764\) 15.2024 + 18.1175i 0.550003 + 0.655468i
\(765\) 8.40866 8.90437i 0.304016 0.321938i
\(766\) 4.78422 8.28650i 0.172861 0.299404i
\(767\) −45.6678 + 26.3663i −1.64897 + 0.952032i
\(768\) 0.816943 0.973594i 0.0294789 0.0351316i
\(769\) 0.136772 + 0.0789652i 0.00493212 + 0.00284756i 0.502464 0.864598i \(-0.332427\pi\)
−0.497532 + 0.867446i \(0.665760\pi\)
\(770\) 4.70874 3.50213i 0.169691 0.126208i
\(771\) 23.7953i 0.856968i
\(772\)