Properties

Label 370.2.v.a.289.8
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 289.8
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.434686 - 1.19429i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.640316 + 2.14243i) q^{5} +1.27094i q^{6} +(-2.39627 + 0.422528i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06076 + 0.890080i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.434686 - 1.19429i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.640316 + 2.14243i) q^{5} +1.27094i q^{6} +(-2.39627 + 0.422528i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06076 + 0.890080i) q^{9} +(-0.131053 - 2.23222i) 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} +(2.28034 + 1.69601i) 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} +(0.886615 + 2.05278i) 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} +(-4.17999 - 2.74366i) 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} +(-2.72289 - 0.813802i) q^{30} +3.83883i q^{31} +(0.173648 + 0.984808i) q^{32} +(0.881119 + 1.05008i) q^{33} +(3.71685 + 1.35282i) q^{34} +(0.629139 - 5.40440i) q^{35} +1.38472 q^{36} +(-5.80362 + 1.82155i) q^{37} -0.698678i q^{38} +(2.55512 + 7.02012i) q^{39} +(-1.53524 - 1.62574i) q^{40} +(-4.58982 + 3.85131i) q^{41} +(-0.537006 - 3.04551i) q^{42} +2.24316 q^{43} +(0.187290 + 1.06217i) q^{44} +(-2.58615 + 1.70266i) 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} +(4.86629 + 1.14856i) 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} +(-1.65584 - 1.75346i) 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} +(2.83702 - 0.166560i) 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} +(-5.21159 - 12.0664i) q^{65} +(-1.18713 - 0.685389i) q^{66} +(-4.03216 + 0.710979i) q^{67} -3.95539 q^{68} +(11.3228 - 1.99652i) q^{69} +(1.25722 + 5.29365i) 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} +(7.38723 - 4.86358i) 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} +(1.84784 - 2.48449i) 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} +(-1.25358 - 0.932354i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 \(-0.769312\pi\)
0.999646 0.0265924i \(-0.00846564\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.640316 + 2.14243i −0.286358 + 0.958123i
\(6\) 1.27094i 0.518858i
\(7\) −2.39627 + 0.422528i −0.905707 + 0.159701i −0.607053 0.794661i \(-0.707649\pi\)
−0.298653 + 0.954362i \(0.596537\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.06076 + 0.890080i 0.353585 + 0.296693i
\(10\) −0.131053 2.23222i −0.0414425 0.705891i
\(11\) −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 \(0.581119\pi\)
−0.996777 + 0.0802232i \(0.974437\pi\)
\(14\) 2.10725 1.21662i 0.563186 0.325156i
\(15\) 2.28034 + 1.69601i 0.588782 + 0.437907i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −3.03001 2.54248i −0.734884 0.616641i 0.196574 0.980489i \(-0.437018\pi\)
−0.931458 + 0.363848i \(0.881463\pi\)
\(18\) −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 \(0.136649\pi\)
\(20\) 0.886615 + 2.05278i 0.198253 + 0.459016i
\(21\) −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 \(0.225495\pi\)
0.183764 + 0.982970i \(0.441172\pi\)
\(24\) 0.816943 + 0.973594i 0.166758 + 0.198734i
\(25\) −4.17999 2.74366i −0.835998 0.548733i
\(26\) 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 \(0.544084\pi\)
\(30\) −2.72289 0.813802i −0.497129 0.148579i
\(31\) 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
\(35\) 0.629139 5.40440i 0.106344 0.913510i
\(36\) 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
\(40\) −1.53524 1.62574i −0.242742 0.257053i
\(41\) −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 \(-0.445288\pi\)
0.171039 + 0.985264i \(0.445288\pi\)
\(44\) 0.187290 + 1.06217i 0.0282350 + 0.160128i
\(45\) −2.58615 + 1.70266i −0.385521 + 0.253818i
\(46\) −6.92999 5.81496i −1.02177 0.857368i
\(47\) 6.62640 3.82576i 0.966560 0.558044i 0.0683744 0.997660i \(-0.478219\pi\)
0.898186 + 0.439616i \(0.144885\pi\)
\(48\) −1.10066 0.635469i −0.158867 0.0917220i
\(49\) −1.01425 + 0.369155i −0.144892 + 0.0527365i
\(50\) 4.86629 + 1.14856i 0.688198 + 0.162431i
\(51\) −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 0.676246 0.736676i \(-0.263606\pi\)
0.383506 + 0.923539i \(0.374717\pi\)
\(54\) −3.58206 + 4.26894i −0.487457 + 0.580929i
\(55\) −1.65584 1.75346i −0.223274 0.236436i
\(56\) 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 \(0.754056\pi\)
\(60\) 2.83702 0.166560i 0.366257 0.0215028i
\(61\) −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
\(65\) −5.21159 12.0664i −0.646418 1.49665i
\(66\) −1.18713 0.685389i −0.146125 0.0843656i
\(67\) −4.03216 + 0.710979i −0.492607 + 0.0868599i −0.414433 0.910080i \(-0.636020\pi\)
−0.0781740 + 0.996940i \(0.524909\pi\)
\(68\) −3.95539 −0.479662
\(69\) 11.3228 1.99652i 1.36311 0.240352i
\(70\) 1.25722 + 5.29365i 0.150266 + 0.632712i
\(71\) 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 \(-0.998208\pi\)
0.999984 0.00563050i \(-0.00179225\pi\)
\(74\) 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 \(-0.491160\pi\)
0.979606 0.200929i \(-0.0643960\pi\)
\(84\) 1.54625 + 2.67818i 0.168709 + 0.292213i
\(85\) 7.38723 4.86358i 0.801258 0.527529i
\(86\) −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 \(0.330303\pi\)
\(90\) 1.84784 2.48449i 0.194780 0.261889i
\(91\) 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
\(95\) −1.25358 0.932354i −0.128615 0.0956575i
\(96\) 1.25163 + 0.220696i 0.127744 + 0.0225247i
\(97\) 2.60024 + 4.50374i 0.264014 + 0.457286i 0.967305 0.253616i \(-0.0816201\pi\)
−0.703291 + 0.710902i \(0.748287\pi\)
\(98\) 0.826821 0.693785i 0.0835215 0.0700829i
\(99\) −1.40343 + 0.510807i −0.141050 + 0.0513380i
\(100\) −4.96565 + 0.585078i −0.496565 + 0.0585078i
\(101\) −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 \(-0.614079\pi\)
0.986384 0.164459i \(-0.0525878\pi\)
\(104\) −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 0.727441 0.686171i \(-0.240710\pi\)
−0.802065 + 0.597237i \(0.796265\pi\)
\(108\) 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 −0.414063 0.910248i \(-0.635891\pi\)
0.267906 + 0.963445i \(0.413668\pi\)
\(114\) −0.834424 0.303706i −0.0781510 0.0284446i
\(115\) −19.6811 + 4.67416i −1.83527 + 0.435867i
\(116\) 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
\(120\) −2.60896 + 1.12683i −0.238164 + 0.102865i
\(121\) 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
\(125\) 8.55461 7.19851i 0.765148 0.643854i
\(126\) 3.31817 + 0.585082i 0.295606 + 0.0521233i
\(127\) −4.26508 0.752049i −0.378465 0.0667336i −0.0188202 0.999823i \(-0.505991\pi\)
−0.359645 + 0.933089i \(0.617102\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 0.975068 2.67898i 0.0858500 0.235871i
\(130\) 9.02424 + 9.55624i 0.791478 + 0.838138i
\(131\) −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
\(135\) 2.87932 + 12.1237i 0.247813 + 1.04344i
\(136\) 3.71685 1.35282i 0.318717 0.116004i
\(137\) −18.1348 10.4701i −1.54936 0.894522i −0.998191 0.0601265i \(-0.980850\pi\)
−0.551166 0.834395i \(-0.685817\pi\)
\(138\) −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 \(0.618350\pi\)
\(140\) −2.99193 4.54441i −0.252864 0.384073i
\(141\) −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
\(145\) −6.57765 + 6.21147i −0.546244 + 0.515835i
\(146\) 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 \(0.582283\pi\)
\(150\) 3.48702 5.31250i 0.284714 0.433764i
\(151\) −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
\(155\) −8.22442 2.45807i −0.660602 0.197437i
\(156\) 6.46978 + 3.73533i 0.517997 + 0.299066i
\(157\) −2.62863 + 3.13268i −0.209787 + 0.250015i −0.860670 0.509164i \(-0.829955\pi\)
0.650882 + 0.759179i \(0.274399\pi\)
\(158\) 0.257798 0.148840i 0.0205093 0.0118410i
\(159\) 4.97834 8.62274i 0.394808 0.683828i
\(160\) −2.22107 0.258560i −0.175591 0.0204410i
\(161\) −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 \(0.341496\pi\)
−0.749310 + 0.662219i \(0.769615\pi\)
\(164\) −1.04043 + 5.90056i −0.0812437 + 0.460756i
\(165\) −2.81391 + 1.21535i −0.219063 + 0.0946151i
\(166\) −4.88331 + 13.4168i −0.379019 + 1.04135i
\(167\) 8.48472 + 3.08819i 0.656568 + 0.238971i 0.648754 0.760998i \(-0.275291\pi\)
0.00781383 + 0.999969i \(0.497513\pi\)
\(168\) −2.36899 1.98782i −0.182772 0.153364i
\(169\) 3.74242 21.2243i 0.287878 1.63264i
\(170\) −5.27829 + 7.09685i −0.404826 + 0.544304i
\(171\) −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 \(0.00173921\pi\)
−0.762521 + 0.646964i \(0.776039\pi\)
\(174\) −2.57106 + 4.45321i −0.194912 + 0.337597i
\(175\) 11.1757 + 4.80841i 0.844802 + 0.363481i
\(176\) 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 \(0.847430\pi\)
\(180\) −0.886658 + 2.96666i −0.0660876 + 0.221122i
\(181\) −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
\(185\) −0.186377 13.6002i −0.0137027 0.999906i
\(186\) −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
\(190\) 1.49687 + 0.447375i 0.108594 + 0.0324560i
\(191\) 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 −0.526347 0.850270i \(-0.676439\pi\)
0.999529 + 0.0306947i \(0.00977196\pi\)
\(194\) −3.98379 3.34280i −0.286020 0.239999i
\(195\) −16.6762 + 0.979050i −1.19421 + 0.0701112i
\(196\) −0.539669 + 0.934734i −0.0385478 + 0.0667667i
\(197\) 9.19070 + 25.2513i 0.654811 + 1.79908i 0.599164 + 0.800627i \(0.295500\pi\)
0.0556470 + 0.998451i \(0.482278\pi\)
\(198\) 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 \(0.215475\pi\)
\(200\) 4.46608 2.24815i 0.315799 0.158968i
\(201\) −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
\(205\) −5.31223 12.2994i −0.371022 0.859028i
\(206\) −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
\(210\) 6.86865 + 0.799596i 0.473982 + 0.0551773i
\(211\) 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
\(215\) −1.43633 + 4.80580i −0.0979569 + 0.327753i
\(216\) 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
\(220\) −2.39555 0.278872i −0.161508 0.0188015i
\(221\) 23.2501 1.56397
\(222\) −2.31507 7.37603i −0.155377 0.495047i
\(223\) 1.64685i 0.110282i −0.998479 0.0551408i \(-0.982439\pi\)
0.998479 0.0551408i \(-0.0175608\pi\)
\(224\) −0.832217 2.28650i −0.0556049 0.152773i
\(225\) −1.99187 6.63088i −0.132791 0.442059i
\(226\) 1.26657 1.06278i 0.0842508 0.0706948i
\(227\) 3.25682 + 18.4704i 0.216163 + 1.22592i 0.878877 + 0.477048i \(0.158293\pi\)
−0.662714 + 0.748873i \(0.730596\pi\)
\(228\) 0.887976 0.0588076
\(229\) 1.58566 + 8.99274i 0.104784 + 0.594257i 0.991307 + 0.131572i \(0.0420026\pi\)
−0.886523 + 0.462684i \(0.846886\pi\)
\(230\) 16.8955 11.1236i 1.11406 0.733468i
\(231\) −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 0.703561 0.710635i \(-0.251592\pi\)
−0.263648 + 0.964619i \(0.584926\pi\)
\(234\) 7.64861 2.78387i 0.500005 0.181987i
\(235\) 3.95341 + 16.6463i 0.257892 + 1.08588i
\(236\) −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 \(0.240860\pi\)
\(240\) 2.06622 1.95119i 0.133374 0.125949i
\(241\) −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
\(245\) −0.141450 2.40932i −0.00903692 0.153926i
\(246\) −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
\(250\) −5.57667 + 9.69024i −0.352700 + 0.612865i
\(251\) 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
\(255\) −2.59739 10.9366i −0.162655 0.684878i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 17.5936 6.40353i 1.09746 0.399441i 0.271078 0.962557i \(-0.412620\pi\)
0.826378 + 0.563116i \(0.190398\pi\)
\(258\) 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 \(0.0125797\pi\)
−0.134603 + 0.990900i \(0.542976\pi\)
\(264\) −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 \(0.955407\pi\)
\(270\) −6.85223 10.4078i −0.417014 0.633397i
\(271\) −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
\(275\) 4.81692 2.42475i 0.290471 0.146218i
\(276\) 7.39044 8.80759i 0.444852 0.530154i
\(277\) −20.3075 7.39133i −1.22016 0.444102i −0.349943 0.936771i \(-0.613799\pi\)
−0.870217 + 0.492669i \(0.836021\pi\)
\(278\) −7.10289 2.58524i −0.426003 0.155052i
\(279\) −3.41687 + 4.07207i −0.204563 + 0.243788i
\(280\) 4.36577 + 3.24705i 0.260905 + 0.194048i
\(281\) 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 −0.558369 0.829593i \(-0.688572\pi\)
0.720030 + 0.693943i \(0.244128\pi\)
\(284\) 10.0976 3.67522i 0.599182 0.218084i
\(285\) −1.65842 + 1.09186i −0.0982361 + 0.0646763i
\(286\) 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 \(0.299096\pi\)
−0.970979 + 0.239166i \(0.923126\pi\)
\(294\) −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
\(300\) −1.45975 + 6.18475i −0.0842785 + 0.357077i
\(301\) −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
\(305\) 24.7332 10.6825i 1.41622 0.611677i
\(306\) 2.73855 + 4.74331i 0.156553 + 0.271157i
\(307\) 1.85530 + 1.07116i 0.105888 + 0.0611342i 0.552009 0.833838i \(-0.313862\pi\)
−0.446121 + 0.894973i \(0.647195\pi\)
\(308\) −0.897594 2.46612i −0.0511452 0.140520i
\(309\) −10.5399 12.5610i −0.599593 0.714568i
\(310\) 8.56914 0.503090i 0.486694 0.0285736i
\(311\) 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 0.971583 0.236699i \(-0.0760656\pi\)
−0.0643896 + 0.997925i \(0.520510\pi\)
\(314\) 1.39866 3.84280i 0.0789312 0.216862i
\(315\) 5.47771 5.17276i 0.308634 0.291452i
\(316\) −0.191344 + 0.228035i −0.0107640 + 0.0128280i
\(317\) −10.6354 1.87531i −0.597345 0.105328i −0.133203 0.991089i \(-0.542526\pi\)
−0.464142 + 0.885761i \(0.653637\pi\)
\(318\) −1.72896 + 9.80542i −0.0969552 + 0.549860i
\(319\) −3.77914 + 2.18189i −0.211591 + 0.122162i
\(320\) 2.17555 0.516683i 0.121617 0.0288835i
\(321\) −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
\(325\) 29.1884 3.43913i 1.61908 0.190769i
\(326\) −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
\(330\) 2.22854 2.10447i 0.122677 0.115847i
\(331\) −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
\(335\) 1.05864 9.09386i 0.0578396 0.496851i
\(336\) 2.90600 + 1.05770i 0.158535 + 0.0577020i
\(337\) 4.16895 + 4.96836i 0.227097 + 0.270644i 0.867546 0.497357i \(-0.165696\pi\)
−0.640449 + 0.768001i \(0.721252\pi\)
\(338\) 3.74242 + 21.2243i 0.203561 + 1.15445i
\(339\) 2.10135i 0.114130i
\(340\) 2.53270 8.47414i 0.137355 0.459575i
\(341\) −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
\(345\) −2.97279 + 25.5367i −0.160050 + 1.37485i
\(346\) −5.86998 6.99557i −0.315572 0.376084i
\(347\) −12.4617 21.5843i −0.668979 1.15871i −0.978190 0.207713i \(-0.933398\pi\)
0.309210 0.950994i \(-0.399935\pi\)
\(348\) 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 \(0.758156\pi\)
\(350\) −12.1463 0.696118i −0.649246 0.0372091i
\(351\) −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 0.992937 0.118642i \(-0.0378540\pi\)
0.0555825 + 0.998454i \(0.482298\pi\)
\(354\) 1.97988 11.2284i 0.105229 0.596785i
\(355\) −14.3396 + 19.2801i −0.761065 + 1.02328i
\(356\) 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 \(0.245600\pi\)
\(360\) −0.181471 3.09100i −0.00956437 0.162910i
\(361\) 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
\(365\) 0.206131 + 0.0616074i 0.0107894 + 0.00322468i
\(366\) 11.7305 9.84302i 0.613160 0.514503i
\(367\) 8.25956 22.6929i 0.431145 1.18456i −0.513965 0.857811i \(-0.671824\pi\)
0.945110 0.326751i \(-0.105954\pi\)
\(368\) 8.50090 3.09407i 0.443140 0.161290i
\(369\) −8.29666 −0.431907
\(370\) 4.82668 + 12.7163i 0.250927 + 0.661087i
\(371\) −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 \(-0.770463\pi\)
0.999736 0.0229766i \(-0.00731432\pi\)
\(374\) −3.26803 + 2.74221i −0.168986 + 0.141796i
\(375\) −4.87854 13.3458i −0.251927 0.689173i
\(376\) 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 \(0.800105\pi\)
\(380\) −1.55961 + 0.0915636i −0.0800061 + 0.00469712i
\(381\) −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 −0.810553 0.585665i \(-0.800834\pi\)
0.436016 + 0.899939i \(0.356389\pi\)
\(384\) 1.10066 0.635469i 0.0561680 0.0324286i
\(385\) 4.70874 + 3.50213i 0.239980 + 0.178485i
\(386\) −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 \(0.0394060\pi\)
\(390\) 15.3356 6.62360i 0.776550 0.335399i
\(391\) 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
\(395\) 0.0769679 0.661166i 0.00387267 0.0332669i
\(396\) −0.746750 + 1.29341i −0.0375256 + 0.0649962i
\(397\) −12.8990 + 7.44724i −0.647382 + 0.373766i −0.787453 0.616375i \(-0.788600\pi\)
0.140070 + 0.990142i \(0.455267\pi\)
\(398\) −6.56244 + 7.82081i −0.328945 + 0.392022i
\(399\) −1.87119 1.08033i −0.0936765 0.0540841i
\(400\) −3.42783 + 3.64005i −0.171391 + 0.182003i
\(401\) 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
\(405\) 6.50417 + 0.757166i 0.323195 + 0.0376239i
\(406\) 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 \(0.988344\pi\)
\(410\) 9.19851 + 9.74078i 0.454282 + 0.481063i
\(411\) −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
\(415\) 17.5561 + 26.6658i 0.861797 + 1.30897i
\(416\) −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 \(0.392961\pi\)
\(420\) −6.72789 + 1.59784i −0.328288 + 0.0779667i
\(421\) −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
\(425\) 5.68969 + 18.9408i 0.275991 + 0.918766i
\(426\) −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
\(430\) −0.293972 5.00723i −0.0141766 0.241470i
\(431\) 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 0.0262243 0.999656i \(-0.491652\pi\)
−0.852615 + 0.522539i \(0.824985\pi\)
\(434\) 4.67041 + 8.08938i 0.224187 + 0.388303i
\(435\) 4.55908 + 10.5557i 0.218591 + 0.506105i
\(436\) 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 \(0.212010\pi\)
\(440\) 2.34646 0.557273i 0.111863 0.0265669i
\(441\) −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 \(0.182598\pi\)
−0.839927 + 0.542699i \(0.817402\pi\)
\(444\) 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
\(455\) 17.5868 + 26.7124i 0.824481 + 1.25230i
\(456\) −0.834424 + 0.303706i −0.0390755 + 0.0142223i
\(457\) −15.2111 + 12.7636i −0.711546 + 0.597058i −0.925033 0.379888i \(-0.875963\pi\)
0.213486 + 0.976946i \(0.431518\pi\)
\(458\) −4.56573 7.90808i −0.213343 0.369520i
\(459\) −21.7073 3.82759i −1.01321 0.178657i
\(460\) −12.0721 + 16.2314i −0.562864 + 0.756791i
\(461\) −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 0.207897 0.978151i \(-0.433338\pi\)
−0.469485 + 0.882940i \(0.655560\pi\)
\(464\) 2.60068 3.09936i 0.120733 0.143884i
\(465\) −6.51069 + 8.75386i −0.301926 + 0.405951i
\(466\) −7.63600 1.34643i −0.353731 0.0623723i
\(467\) −18.0030 31.1820i −0.833078 1.44293i −0.895586 0.444889i \(-0.853243\pi\)
0.0625080 0.998044i \(-0.480090\pi\)
\(468\) −6.23520 + 5.23196i −0.288222 + 0.241847i
\(469\) 9.36176 3.40740i 0.432286 0.157339i
\(470\) −9.40835 14.2902i −0.433975 0.659160i
\(471\) 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
\(485\) −11.3139 + 2.68700i −0.513739 + 0.122010i
\(486\) −12.7989 + 2.25678i −0.580568 + 0.102370i
\(487\) 26.1658 1.18569 0.592843 0.805318i \(-0.298005\pi\)
0.592843 + 0.805318i \(0.298005\pi\)
\(488\) 11.8656 2.09222i 0.537129 0.0947103i
\(489\) 21.9856 + 12.6934i 0.994222 + 0.574014i
\(490\) 0.956957 + 2.21565i 0.0432309 + 0.100093i
\(491\) 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
\(495\) −0.195727 3.33382i −0.00879728 0.149844i
\(496\) 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 \(0.0717673\pi\)
\(500\) 1.92610 11.0132i 0.0861378 0.492524i
\(501\) 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 \(0.256312\pi\)
−0.897750 + 0.440505i \(0.854799\pi\)
\(504\) 2.91795 1.68468i 0.129976 0.0750415i
\(505\) 37.3315 8.86604i 1.66123 0.394533i
\(506\) 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 \(0.662695\pi\)
\(510\) 6.18130 + 9.38871i 0.273713 + 0.415739i
\(511\) 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
\(515\) 19.8071 + 20.9747i 0.872804 + 0.924258i
\(516\) −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
\(520\) 13.0556 + 1.51983i 0.572526 + 0.0666491i
\(521\) 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 \(-0.772137\pi\)
0.484576 0.874749i \(-0.338974\pi\)
\(524\) 4.73964i 0.207052i
\(525\) 10.6005 11.2569i 0.462646 0.491289i
\(526\) −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
\(530\) 2.02559 17.4001i 0.0879861 0.755813i
\(531\) −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
\(535\) 2.46517 1.06473i 0.106579 0.0460322i
\(536\) 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
\(540\) 9.99866 + 7.43651i 0.430274 + 0.320017i
\(541\) −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
\(545\) −26.9577 + 1.58267i −1.15474 + 0.0677943i
\(546\) 13.9251 + 11.6845i 0.595939 + 0.500052i
\(547\) −3.63042 + 6.28808i −0.155226 + 0.268859i −0.933141 0.359510i \(-0.882944\pi\)
0.777915 + 0.628369i \(0.216277\pi\)
\(548\) −20.6221 + 3.63623i −0.880932 + 0.155332i
\(549\) 16.6839i 0.712053i
\(550\) −3.69711 + 3.92601i −0.157645 + 0.167406i
\(551\) −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
\(555\) −16.3236 5.68923i −0.692898 0.241494i
\(556\) 7.55874 0.320562
\(557\) −1.82309 + 0.663551i −0.0772469 + 0.0281156i −0.380355 0.924841i \(-0.624198\pi\)
0.303108 + 0.952956i \(0.401976\pi\)
\(558\) 1.81808 4.99513i 0.0769654 0.211461i
\(559\) −10.1006 + 8.47543i −0.427211 + 0.358473i
\(560\) −5.21304 1.55804i −0.220291 0.0658394i
\(561\) 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 \(0.372183\pi\)
−0.992561 + 0.121747i \(0.961150\pi\)
\(564\) −7.44947 6.25085i −0.313679 0.263208i
\(565\) −0.216681 3.69073i −0.00911583 0.155270i
\(566\) −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 \(0.0267713\pi\)
\(570\) 1.18496 1.59323i 0.0496326 0.0667329i
\(571\) 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
\(575\) 2.58807 45.1582i 0.107930 1.88323i
\(576\) 0.240454 1.36368i 0.0100189 0.0568201i
\(577\) −5.10497 + 28.9517i −0.212523 + 1.20528i 0.672631 + 0.739978i \(0.265164\pi\)
−0.885154 + 0.465298i \(0.845947\pi\)
\(578\) 0.677441 + 1.17336i 0.0281778 + 0.0488055i
\(579\) −10.7406 12.8001i −0.446364 0.531956i
\(580\) −1.04612 + 8.98629i −0.0434376 + 0.373136i
\(581\) −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
\(585\) 5.21184 17.4382i 0.215483 0.720983i
\(586\) 19.0630i 0.787487i
\(587\) 3.29520 + 18.6880i 0.136008 + 0.771337i 0.974153 + 0.225890i \(0.0725290\pi\)
−0.838145 + 0.545447i \(0.816360\pi\)
\(588\) 0.881757 + 1.05084i 0.0363631 + 0.0433358i
\(589\) −2.52036 0.917336i −0.103850 0.0377982i
\(590\) −2.31956 + 19.9254i −0.0954948 + 0.820314i
\(591\) 34.1524 1.40484
\(592\) 0.786084 + 6.03176i 0.0323079 + 0.247904i
\(593\) 11.8449i 0.486413i −0.969975 0.243206i \(-0.921801\pi\)
0.969975 0.243206i \(-0.0781992\pi\)
\(594\) −2.05570 5.64800i −0.0843466 0.231740i
\(595\) −15.6468 + 14.7758i −0.641458 + 0.605748i
\(596\) −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 \(-0.121559\pi\)
\(600\) −0.743597 6.31103i −0.0303572 0.257647i
\(601\) −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
\(605\) −21.4003 + 5.08247i −0.870046 + 0.206632i
\(606\) 18.8869 10.9043i 0.767226 0.442958i
\(607\) 2.82902 16.0442i 0.114826 0.651213i −0.872010 0.489489i \(-0.837183\pi\)
0.986836 0.161724i \(-0.0517054\pi\)
\(608\) −0.688064 0.121324i −0.0279047 0.00492035i
\(609\) −8.04258 + 9.58477i −0.325902 + 0.388395i
\(610\) −19.5879 + 18.4975i −0.793093 + 0.748941i
\(611\) −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 0.636453 0.771315i \(-0.280401\pi\)
0.334265 + 0.942479i \(0.391512\pi\)
\(614\) −2.10977 0.372009i −0.0851433 0.0150131i
\(615\) −16.9982 + 0.997956i −0.685434 + 0.0402415i
\(616\) 1.68693 + 2.01040i 0.0679682 + 0.0810013i
\(617\) −1.12580 3.09312i −0.0453232 0.124524i 0.914966 0.403531i \(-0.132217\pi\)
−0.960289 + 0.279006i \(0.909995\pi\)
\(618\) 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 \(0.981264\pi\)
\(620\) −7.88029 + 3.40357i −0.316480 + 0.136691i
\(621\) 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
\(625\) 9.94463 + 22.9370i 0.397785 + 0.917479i
\(626\) −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
\(640\) −1.86764 + 1.22961i −0.0738248 + 0.0486045i
\(641\) −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 0.832783 0.553599i \(-0.186746\pi\)
−0.895823 + 0.444412i \(0.853413\pi\)
\(644\) −21.6778 3.82238i −0.854226 0.150623i
\(645\) 5.11516 + 3.80441i 0.201409 + 0.149798i
\(646\) −1.77637 + 2.11700i −0.0698904 + 0.0832922i
\(647\) −3.93506 1.43225i −0.154703 0.0563074i 0.263508 0.964657i \(-0.415121\pi\)
−0.418211 + 0.908350i \(0.637343\pi\)
\(648\) 2.75179 + 1.00157i 0.108101 + 0.0393454i
\(649\) 6.21949 7.41210i 0.244136 0.290951i
\(650\) −26.2519 + 13.2148i −1.02968 + 0.518326i
\(651\) −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 −0.998307 0.0581681i \(-0.981474\pi\)
−0.116070 + 0.993241i \(0.537030\pi\)
\(654\) −14.4230 + 5.24954i −0.563983 + 0.205273i
\(655\) −5.82789 8.85192i −0.227714 0.345873i
\(656\) 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
\(670\) 2.11549 + 8.90751i 0.0817285 + 0.344127i
\(671\) 12.7977 2.25658i 0.494049 0.0871142i
\(672\) −3.09250 −0.119296
\(673\) −29.8649 + 5.26598i −1.15121 + 0.202989i −0.716502 0.697585i \(-0.754258\pi\)
−0.434704 + 0.900573i \(0.643147\pi\)
\(674\) −5.61681 3.24287i −0.216351 0.124911i
\(675\) −27.8179 1.59428i −1.07071 0.0613637i
\(676\) −10.7759 18.6643i −0.414456 0.717859i
\(677\) −24.9696 14.4162i −0.959659 0.554059i −0.0635907 0.997976i \(-0.520255\pi\)
−0.896068 + 0.443917i \(0.853589\pi\)
\(678\) −0.718704 1.97462i −0.0276017 0.0758349i
\(679\) −8.13384 9.69353i −0.312148 0.372004i
\(680\) 0.518365 + 8.82932i 0.0198784 + 0.338589i
\(681\) 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 −0.0804015 0.996763i \(-0.525620\pi\)
−0.995581 + 0.0939060i \(0.970065\pi\)
\(684\) −0.330895 + 0.909127i −0.0126521 + 0.0347613i
\(685\) 34.0434 32.1482i 1.30073 1.22832i
\(686\) −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
\(690\) −5.94056 25.0134i −0.226153 0.952244i
\(691\) 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
\(695\) −14.1170 + 9.29428i −0.535488 + 0.352552i
\(696\) 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
\(700\) 11.6519 3.50013i 0.440399 0.132293i
\(701\) −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
\(705\) 21.5990 + 2.51439i 0.813465 + 0.0946974i
\(706\) −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 \(0.796464\pi\)
\(710\) 6.88061 23.0217i 0.258225 0.863991i
\(711\) −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
\(715\) 14.0812 + 1.63923i 0.526608 + 0.0613037i
\(716\) 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 \(0.873028\pi\)
\(720\) 1.22771 + 2.84253i 0.0457541 + 0.105935i
\(721\) −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
\(725\) −9.09585 18.0694i −0.337811 0.671082i
\(726\) −10.8269 + 6.25092i −0.401824 + 0.231993i
\(727\) −13.2103 + 11.0847i −0.489942 + 0.411110i −0.854006 0.520264i \(-0.825834\pi\)
0.364063 + 0.931374i \(0.381389\pi\)
\(728\) 4.89183 + 13.4402i 0.181303 + 0.498127i
\(729\) 12.6513 21.9128i 0.468568 0.811583i
\(730\) −0.214771 + 0.0126091i −0.00794904 + 0.000466684i
\(731\) −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 0.0777881 0.996970i \(-0.475214\pi\)
0.414081 + 0.910240i \(0.364103\pi\)
\(734\) 24.1493i 0.891368i
\(735\) −2.93892 0.878367i −0.108404 0.0323991i
\(736\) −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 \(0.276525\pi\)
\(740\) −8.88481 10.2986i −0.326612 0.378582i
\(741\) −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 \(-0.746350\pi\)
0.995130 0.0985716i \(-0.0314273\pi\)
\(744\) −3.73747 + 3.13611i −0.137022 + 0.114975i
\(745\) 3.99606 13.3704i 0.146404 0.489853i
\(746\) 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
\(750\) 9.14886 + 10.8724i 0.334069 + 0.397003i
\(751\) 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
\(755\) 6.71859 9.03338i 0.244514 0.328759i
\(756\) −2.35462 + 13.3537i −0.0856368 + 0.485670i
\(757\) −26.5103 22.2448i −0.963533 0.808500i 0.0179911 0.999838i \(-0.494273\pi\)
−0.981524 + 0.191338i \(0.938717\pi\)
\(758\) 8.86305 + 3.22589i 0.321921 + 0.117169i
\(759\) −4.24129 + 11.6528i −0.153949 + 0.422972i
\(760\) 1.43423 0.619458i 0.0520251 0.0224701i
\(761\) 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
\(765\) 12.1650 + 1.41616i 0.439828 + 0.0512014i
\(766\) 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 \(0.665760\pi\)
\(770\) −5.62257 1.68044i −0.202623 0.0605589i
\(771\) 23.7953i 0.856968i
\(772\)