Properties

Label 370.2.v.a.169.8
Level $370$
Weight $2$
Character 370.169
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [370,2,Mod(99,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.99");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
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 169.8
Character \(\chi\) \(=\) 370.169
Dual form 370.2.v.a.289.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(0.434686 + 1.19429i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.640316 - 2.14243i) q^{5} -1.27094i q^{6} +(-2.39627 - 0.422528i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.06076 - 0.890080i) q^{9} +O(q^{10})\) \(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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

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 0.999646 + 0.0265924i \(0.00846564\pi\)
−0.748680 + 0.662931i \(0.769312\pi\)
\(4\) 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 −0.298653 0.954362i \(-0.596537\pi\)
−0.607053 + 0.794661i \(0.707649\pi\)
\(8\) −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 0.773201 0.634161i \(-0.218654\pi\)
−0.935800 + 0.352532i \(0.885321\pi\)
\(12\) −0.434686 + 1.19429i −0.125483 + 0.344762i
\(13\) −4.50286 3.77835i −1.24887 1.04793i −0.996777 0.0802232i \(-0.974437\pi\)
−0.252093 0.967703i \(-0.581119\pi\)
\(14\) 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 −0.931458 0.363848i \(-0.881463\pi\)
0.196574 + 0.980489i \(0.437018\pi\)
\(18\) −1.30121 + 0.473602i −0.306698 + 0.111629i
\(19\) −0.238962 0.656543i −0.0548216 0.150621i 0.909259 0.416231i \(-0.136649\pi\)
−0.964081 + 0.265609i \(0.914427\pi\)
\(20\) 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 0.183764 0.982970i \(-0.441172\pi\)
0.759396 0.650629i \(-0.225495\pi\)
\(24\) 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 −0.138053 0.990425i \(-0.544084\pi\)
0.788707 + 0.614770i \(0.210751\pi\)
\(30\) −2.72289 + 0.813802i −0.497129 + 0.148579i
\(31\) 3.83883i 0.689475i −0.938699 0.344738i \(-0.887968\pi\)
0.938699 0.344738i \(-0.112032\pi\)
\(32\) 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 0.209691 0.977768i \(-0.432754\pi\)
−0.926501 + 0.376293i \(0.877199\pi\)
\(42\) −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 0.898186 0.439616i \(-0.144885\pi\)
0.0683744 + 0.997660i \(0.478219\pi\)
\(48\) −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 0.383506 0.923539i \(-0.374717\pi\)
0.676246 + 0.736676i \(0.263606\pi\)
\(54\) −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 −0.716059 0.698040i \(-0.754056\pi\)
−0.434132 + 0.900850i \(0.642945\pi\)
\(60\) 2.83702 + 0.166560i 0.366257 + 0.0215028i
\(61\) −7.74469 + 9.22977i −0.991606 + 1.18175i −0.00826793 + 0.999966i \(0.502632\pi\)
−0.983338 + 0.181785i \(0.941813\pi\)
\(62\) −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 −0.0781740 0.996940i \(-0.524909\pi\)
−0.414433 + 0.910080i \(0.636020\pi\)
\(68\) −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 0.335711 0.941965i \(-0.391023\pi\)
0.862653 + 0.505796i \(0.168801\pi\)
\(72\) −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 0.157132 0.987578i \(-0.449775\pi\)
−0.190115 + 0.981762i \(0.560886\pi\)
\(80\) 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 0.979606 + 0.200929i \(0.0643960\pi\)
0.0277696 + 0.999614i \(0.491160\pi\)
\(84\) 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 0.508223 0.861226i \(-0.330303\pi\)
0.772130 + 0.635465i \(0.219192\pi\)
\(90\) 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 −0.703291 0.710902i \(-0.748287\pi\)
0.967305 + 0.253616i \(0.0816201\pi\)
\(98\) 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 0.0241116 + 0.999709i \(0.492324\pi\)
−0.877829 + 0.478973i \(0.841009\pi\)
\(102\) 3.23133 + 3.85095i 0.319949 + 0.381300i
\(103\) 6.45081 + 11.1731i 0.635618 + 1.10092i 0.986384 + 0.164459i \(0.0525878\pi\)
−0.350766 + 0.936463i \(0.614079\pi\)
\(104\) −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 \(-0.796265\pi\)
0.727441 + 0.686171i \(0.240710\pi\)
\(108\) 1.90598 + 5.23663i 0.183403 + 0.503895i
\(109\) 4.13045 11.3483i 0.395625 1.08697i −0.568768 0.822498i \(-0.692580\pi\)
0.964393 0.264473i \(-0.0851979\pi\)
\(110\) 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 \(-0.413668\pi\)
−0.414063 + 0.910248i \(0.635891\pi\)
\(114\) −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 −0.359645 0.933089i \(-0.617102\pi\)
−0.0188202 + 0.999823i \(0.505991\pi\)
\(128\) 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 0.616354 0.787469i \(-0.288609\pi\)
−0.882535 + 0.470247i \(0.844165\pi\)
\(132\) 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 −0.551166 + 0.834395i \(0.685817\pi\)
−0.998191 + 0.0601265i \(0.980850\pi\)
\(138\) −9.95712 5.74874i −0.847606 0.489366i
\(139\) 5.79033 4.85866i 0.491129 0.412107i −0.363301 0.931672i \(-0.618350\pi\)
0.854431 + 0.519565i \(0.173906\pi\)
\(140\) −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 −0.527271 0.849697i \(-0.676785\pi\)
0.142262 + 0.989829i \(0.454563\pi\)
\(152\) −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 0.650882 0.759179i \(-0.274399\pi\)
−0.860670 + 0.509164i \(0.829955\pi\)
\(158\) 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 −0.749310 0.662219i \(-0.769615\pi\)
0.477629 0.878562i \(-0.341496\pi\)
\(164\) −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 0.00781383 0.999969i \(-0.497513\pi\)
0.648754 + 0.760998i \(0.275291\pi\)
\(168\) −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 −0.762521 0.646964i \(-0.776039\pi\)
0.999985 0.00546385i \(-0.00173921\pi\)
\(174\) −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 \(-0.847430\pi\)
0.887313 0.461168i \(-0.152570\pi\)
\(180\) −0.886658 2.96666i −0.0660876 0.221122i
\(181\) −2.90277 2.43572i −0.215761 0.181045i 0.528501 0.848933i \(-0.322754\pi\)
−0.744262 + 0.667887i \(0.767199\pi\)
\(182\) −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 \(-0.673156\pi\)
0.517550 0.855653i \(-0.326844\pi\)
\(192\) −1.25163 0.220696i −0.0903285 0.0159274i
\(193\) 6.57365 + 11.3859i 0.473182 + 0.819575i 0.999529 0.0306947i \(-0.00977196\pi\)
−0.526347 + 0.850270i \(0.676439\pi\)
\(194\) −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 0.0556470 0.998451i \(-0.482278\pi\)
0.599164 0.800627i \(-0.295500\pi\)
\(198\) 1.14409 + 0.960003i 0.0813067 + 0.0682244i
\(199\) 8.84155 + 5.10467i 0.626761 + 0.361860i 0.779496 0.626407i \(-0.215475\pi\)
−0.152736 + 0.988267i \(0.548808\pi\)
\(200\) 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 0.830762 + 0.556629i \(0.187905\pi\)
0.0666737 + 0.997775i \(0.478761\pi\)
\(212\) 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 \(0.0175608\pi\)
−0.998479 + 0.0551408i \(0.982439\pi\)
\(224\) −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 −0.662714 0.748873i \(-0.730596\pi\)
0.878877 0.477048i \(-0.158293\pi\)
\(228\) 0.887976 0.0588076
\(229\) 1.58566 8.99274i 0.104784 0.594257i −0.886523 0.462684i \(-0.846886\pi\)
0.991307 0.131572i \(-0.0420026\pi\)
\(230\) 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 −0.263648 0.964619i \(-0.584926\pi\)
0.703561 + 0.710635i \(0.251592\pi\)
\(234\) 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 0.727117 0.686513i \(-0.240860\pi\)
−0.802346 + 0.596859i \(0.796415\pi\)
\(240\) 2.06622 + 1.95119i 0.133374 + 0.125949i
\(241\) −1.67662 4.60646i −0.108000 0.296728i 0.873906 0.486094i \(-0.161579\pi\)
−0.981907 + 0.189366i \(0.939357\pi\)
\(242\) −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 −0.154684 0.987964i \(-0.549436\pi\)
0.778260 + 0.627942i \(0.216103\pi\)
\(252\) −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 0.826378 0.563116i \(-0.190398\pi\)
0.271078 + 0.962557i \(0.412620\pi\)
\(258\) 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 −0.134603 0.990900i \(-0.542976\pi\)
0.999219 0.0395099i \(-0.0125797\pi\)
\(264\) −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 −0.990203 0.139634i \(-0.955407\pi\)
0.616028 + 0.787724i \(0.288741\pi\)
\(270\) −6.85223 + 10.4078i −0.417014 + 0.633397i
\(271\) −4.11051 1.49610i −0.249695 0.0908817i 0.214140 0.976803i \(-0.431305\pi\)
−0.463836 + 0.885921i \(0.653527\pi\)
\(272\) −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 −0.870217 0.492669i \(-0.836021\pi\)
−0.349943 + 0.936771i \(0.613799\pi\)
\(278\) −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 0.434440 0.900701i \(-0.356946\pi\)
0.716298 + 0.697794i \(0.245835\pi\)
\(282\) 4.86229 8.42174i 0.289545 0.501507i
\(283\) 2.71956 + 2.28199i 0.161661 + 0.135650i 0.720030 0.693943i \(-0.244128\pi\)
−0.558369 + 0.829593i \(0.688572\pi\)
\(284\) 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 −0.970979 0.239166i \(-0.923126\pi\)
0.590080 0.807345i \(-0.299096\pi\)
\(294\) −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 −0.446121 0.894973i \(-0.647195\pi\)
0.552009 + 0.833838i \(0.313862\pi\)
\(308\) −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 −0.157259 0.987557i \(-0.550266\pi\)
0.189989 + 0.981786i \(0.439155\pi\)
\(312\) −7.35716 + 1.29727i −0.416517 + 0.0734432i
\(313\) 16.0499 13.4675i 0.907193 0.761226i −0.0643896 0.997925i \(-0.520510\pi\)
0.971583 + 0.236699i \(0.0760656\pi\)
\(314\) 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 −0.464142 0.885761i \(-0.653637\pi\)
−0.133203 + 0.991089i \(0.542526\pi\)
\(318\) −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 0.505150 + 0.863031i \(0.331437\pi\)
−0.941713 + 0.336416i \(0.890785\pi\)
\(332\) 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 −0.640449 0.768001i \(-0.721252\pi\)
0.867546 + 0.497357i \(0.165696\pi\)
\(338\) 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 0.309210 + 0.950994i \(0.399935\pi\)
−0.978190 + 0.207713i \(0.933398\pi\)
\(348\) 0.892921 + 5.06400i 0.0478656 + 0.271459i
\(349\) −5.21759 29.5904i −0.279291 1.58394i −0.724992 0.688758i \(-0.758156\pi\)
0.445700 0.895182i \(-0.352955\pi\)
\(350\) −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 0.0555825 0.998454i \(-0.482298\pi\)
0.992937 + 0.118642i \(0.0378540\pi\)
\(354\) 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 0.716813 0.697265i \(-0.245600\pi\)
−0.962256 + 0.272146i \(0.912267\pi\)
\(360\) −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 0.945110 + 0.326751i \(0.105954\pi\)
−0.513965 + 0.857811i \(0.671824\pi\)
\(368\) 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 0.999736 + 0.0229766i \(0.00731432\pi\)
−0.751073 + 0.660219i \(0.770463\pi\)
\(374\) −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 −0.809210 0.587519i \(-0.800105\pi\)
0.438075 + 0.898938i \(0.355660\pi\)
\(380\) −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 0.436016 0.899939i \(-0.356389\pi\)
−0.810553 + 0.585665i \(0.800834\pi\)
\(384\) 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 0.992347 0.123481i \(-0.0394060\pi\)
−0.839554 + 0.543276i \(0.817184\pi\)
\(390\) 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 0.140070 0.990142i \(-0.455267\pi\)
−0.787453 + 0.616375i \(0.788600\pi\)
\(398\) −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 \(0.0606846\pi\)
−0.981882 + 0.189494i \(0.939315\pi\)
\(402\) −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 −0.999330 0.0366107i \(-0.988344\pi\)
0.789064 + 0.614311i \(0.210566\pi\)
\(410\) 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 0.329971 0.943991i \(-0.392961\pi\)
−0.354014 + 0.935240i \(0.615183\pi\)
\(420\) −6.72789 1.59784i −0.328288 0.0779667i
\(421\) −13.6218 7.86458i −0.663888 0.383296i 0.129869 0.991531i \(-0.458544\pi\)
−0.793757 + 0.608235i \(0.791878\pi\)
\(422\) −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 −0.722225 0.691658i \(-0.756881\pi\)
0.806563 + 0.591148i \(0.201325\pi\)
\(432\) −1.90598 + 5.23663i −0.0917013 + 0.251947i
\(433\) −17.1961 + 9.92816i −0.826391 + 0.477117i −0.852615 0.522539i \(-0.824985\pi\)
0.0262243 + 0.999656i \(0.491652\pi\)
\(434\) 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 0.786270 0.617883i \(-0.212010\pi\)
0.527524 + 0.849540i \(0.323121\pi\)
\(440\) 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 \(-0.817402\pi\)
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 0.459933 0.887953i \(-0.347873\pi\)
0.128498 + 0.991710i \(0.458984\pi\)
\(450\) 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 0.213486 0.976946i \(-0.431518\pi\)
−0.925033 + 0.379888i \(0.875963\pi\)
\(458\) −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 0.578485 0.815693i \(-0.303644\pi\)
−0.903754 + 0.428053i \(0.859200\pi\)
\(462\) 3.13428 1.14079i 0.145820 0.0530742i
\(463\) −5.62872 + 2.04869i −0.261589 + 0.0952105i −0.469485 0.882940i \(-0.655560\pi\)
0.207897 + 0.978151i \(0.433338\pi\)
\(464\) 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 0.0625080 + 0.998044i \(0.480090\pi\)
−0.895586 + 0.444889i \(0.853243\pi\)
\(468\) −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 0.125734 + 0.992064i \(0.459871\pi\)
−0.734004 + 0.679145i \(0.762351\pi\)
\(480\) −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 −0.189896 0.981804i \(-0.560815\pi\)
0.945215 0.326448i \(-0.105852\pi\)
\(492\) 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 0.974691 0.223558i \(-0.0717673\pi\)
−0.890357 + 0.455263i \(0.849545\pi\)
\(500\) 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 −0.897750 0.440505i \(-0.854799\pi\)
0.692948 0.720988i \(-0.256312\pi\)
\(504\) 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 −0.489156 0.872197i \(-0.662695\pi\)
0.774005 + 0.633179i \(0.218251\pi\)
\(510\) 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 0.442778 0.896631i \(-0.353993\pi\)
0.915531 + 0.402247i \(0.131771\pi\)
\(522\) −3.60120 + 4.29175i −0.157620 + 0.187845i
\(523\) −6.17373 + 35.0130i −0.269958 + 1.53101i 0.484576 + 0.874749i \(0.338974\pi\)
−0.754534 + 0.656260i \(0.772137\pi\)
\(524\) 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 0.461274 0.887258i \(-0.347393\pi\)
−0.537751 + 0.843104i \(0.680726\pi\)
\(542\) 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 0.777915 0.628369i \(-0.216277\pi\)
−0.933141 + 0.359510i \(0.882944\pi\)
\(548\) −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 0.303108 0.952956i \(-0.401976\pi\)
−0.380355 + 0.924841i \(0.624198\pi\)
\(558\) 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 −0.992561 0.121747i \(-0.961150\pi\)
0.390845 0.920457i \(-0.372183\pi\)
\(564\) −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 0.996465 0.0840054i \(-0.0267713\pi\)
0.425482 + 0.904967i \(0.360105\pi\)
\(570\) 1.18496 + 1.59323i 0.0496326 + 0.0667329i
\(571\) 3.28921 + 18.6540i 0.137649 + 0.780648i 0.972978 + 0.230897i \(0.0741661\pi\)
−0.835329 + 0.549750i \(0.814723\pi\)
\(572\) −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 −0.885154 0.465298i \(-0.845947\pi\)
0.672631 0.739978i \(-0.265164\pi\)
\(578\) 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 −0.838145 0.545447i \(-0.816360\pi\)
0.974153 0.225890i \(-0.0725290\pi\)
\(588\) 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 \(0.0781992\pi\)
−0.969975 + 0.243206i \(0.921801\pi\)
\(594\) −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 0.927962 + 0.372674i \(0.121559\pi\)
−0.999461 + 0.0328177i \(0.989552\pi\)
\(600\) −0.743597 + 6.31103i −0.0303572 + 0.257647i
\(601\) −8.15176 + 6.84014i −0.332517 + 0.279015i −0.793725 0.608277i \(-0.791861\pi\)
0.461207 + 0.887292i \(0.347416\pi\)
\(602\) 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 0.986836 + 0.161724i \(0.0517054\pi\)
−0.872010 + 0.489489i \(0.837183\pi\)
\(608\) −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 0.334265 0.942479i \(-0.391512\pi\)
0.636453 + 0.771315i \(0.280401\pi\)
\(614\) −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 −0.960289 0.279006i \(-0.909995\pi\)
0.914966 + 0.403531i \(0.132217\pi\)
\(618\) 14.2004 8.19858i 0.571222 0.329795i
\(619\) −11.1508 + 19.3137i −0.448188 + 0.776285i −0.998268 0.0588271i \(-0.981264\pi\)
0.550080 + 0.835112i \(0.314597\pi\)
\(620\) −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 −0.992100 0.125450i \(-0.959963\pi\)
0.840630 + 0.541609i \(0.182185\pi\)
\(632\) 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 −0.630290 0.776360i \(-0.717064\pi\)
−0.981865 + 0.189583i \(0.939286\pi\)
\(642\) 1.16918 + 0.981059i 0.0461439 + 0.0387193i
\(643\) −1.59851 + 2.76871i −0.0630393 + 0.109187i −0.895823 0.444412i \(-0.853413\pi\)
0.832783 + 0.553599i \(0.186746\pi\)
\(644\) −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 −0.418211 0.908350i \(-0.637343\pi\)
0.263508 + 0.964657i \(0.415121\pi\)
\(648\) 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 −0.116070 0.993241i \(-0.537030\pi\)
−0.998307 + 0.0581681i \(0.981474\pi\)
\(654\) −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 0.550767 + 0.834659i \(0.314335\pi\)
−0.803022 + 0.595949i \(0.796776\pi\)
\(660\) −1.37437 2.73976i −0.0534971 0.106645i
\(661\) 8.09644 + 1.42762i 0.314915 + 0.0555280i 0.328872 0.944375i \(-0.393332\pi\)
−0.0139567 + 0.999903i \(0.504443\pi\)
\(662\) 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 −0.434704 0.900573i \(-0.643147\pi\)
−0.716502 + 0.697585i \(0.754258\pi\)
\(674\) −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 −0.896068 0.443917i \(-0.853589\pi\)
−0.0635907 + 0.997976i \(0.520255\pi\)
\(678\) −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 −0.995581 0.0939060i \(-0.970065\pi\)
−0.0804015 + 0.996763i \(0.525620\pi\)
\(684\) −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 0.425147 0.905124i \(-0.360222\pi\)
−0.256121 + 0.966645i \(0.582445\pi\)
\(692\) 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 0.697929 + 0.716167i \(0.254105\pi\)
−0.994988 + 0.0999960i \(0.968117\pi\)
\(702\) 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 \(-0.796464\pi\)
0.802437 0.596737i \(-0.203536\pi\)
\(710\) 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 −0.921491 0.388399i \(-0.873028\pi\)
0.733078 0.680144i \(-0.238083\pi\)
\(720\) 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 0.364063 0.931374i \(-0.381389\pi\)
−0.854006 + 0.520264i \(0.825834\pi\)
\(728\) 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 0.414081 0.910240i \(-0.364103\pi\)
0.0777881 + 0.996970i \(0.475214\pi\)
\(734\) 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 0.995130 + 0.0985716i \(0.0314273\pi\)
−0.698953 + 0.715167i \(0.746350\pi\)
\(744\) −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 0.898426 + 0.439125i \(0.144711\pi\)
−0.0689201 + 0.997622i \(0.521955\pi\)
\(752\) −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 −0.981524 0.191338i \(-0.938717\pi\)
0.0179911 + 0.999838i \(0.494273\pi\)
\(758\) 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 0.992214 + 0.124546i \(0.0397474\pi\)
−0.889779 + 0.456392i \(0.849141\pi\)
\(762\) 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 −0.497532 0.867446i \(-0.665760\pi\)
0.502464 + 0.864598i \(0.332427\pi\)
\(770\) −5.62257 + 1.68044i −0.202623 + 0.0605589i
\(771\) 23.7953i 0.856968i
\(772\) −2.28301 + 12.9476i −0.0821672 + 0.465993i
\(773\) −21.2518 + 25.3269i −0.764373 + 0.910944i −0.998116 0.0613543i \(-0.980458\pi\)
0.233743 + 0.972298i \(0.424902\pi\)
\(774\) −2.91882 + 1.06236i −0.104915 + 0.0381858i
\(775\) 10.5325 + 16.0463i 0.378337 + 0.576400i
\(776\) −5.20047 −0.186686
\(777\) −2.43096 + 18.6532i −0.0872103 + 0.669179i
\(778\) 8.81101i 0.315890i
\(779\) −1.43176 + 3.93373i −0.0512981 + 0.140940i
\(780\) −12.1454 11.4692i −0.434874 0.410665i
\(781\) −8.87829 7.44977i −0.317690 0.266574i
\(782\) 6.21353 35.2387i 0.222195 1.26013i
\(783\) 22.5468 0.805756
\(784\) 0.187425 1.06294i 0.00669375 0.0379622i
\(785\) −5.02838 + 7.63755i −0.179471 + 0.272596i
\(786\) −4.61448 + 3.87201i −0.164593 + 0.138110i
\(787\) 24.3543 + 14.0609i 0.868135 + 0.501218i 0.866728 0.498781i \(-0.166219\pi\)
0.00140721 + 0.999999i \(0.499552\pi\)
\(788\) 23.2717 13.4359i 0.829019 0.478634i
\(789\) 26.0522 + 9.48221i 0.927481 + 0.337576i
\(790\) 0.153806 0.647617i 0.00547217 0.0230412i
\(791\) 3.48410 + 2.01154i 0.123880 + 0.0715223i
\(792\) 0.259343 + 1.47081i 0.00921537 + 0.0522629i
\(793\) 69.7466 12.2982i 2.47677 0.436722i
\(794\) 9.57399 + 11.4098i 0.339768 + 0.404920i
\(795\) 15.2859 16.1870i 0.542134 0.574094i
\(796\) 3.49180 + 9.59364i 0.123764 + 0.340038i
\(797\) −25.8553 + 21.6952i −0.915843 + 0.768484i −0.973222 0.229869i \(-0.926170\pi\)
0.0573784 + 0.998353i \(0.481726\pi\)
\(798\) 2.12783 0.375195i 0.0753245 0.0132817i
\(799\) −29.8049 + 5.25541i −1.05442 + 0.185923i
\(800\) 1.97613 + 4.59292i 0.0698668 + 0.162384i
\(801\) 10.9170 13.0103i 0.385732 0.459698i
\(802\) 2.59566 7.13153i 0.0916561 0.251823i
\(803\) 0.0898694 0.0518861i 0.00317142 0.00183102i
\(804\) 2.60184 4.50652i 0.0917598 0.158933i
\(805\) 45.1863 + 19.5164i 1.59261 + 0.687862i
\(806\) 19.5418 11.2825i 0.688331 0.397408i
\(807\) −15.3623 2.70879i −0.540779 0.0953539i
\(808\) 17.1595 0.603670
\(809\) 11.4101 + 2.01191i 0.401158 + 0.0707350i 0.370587 0.928798i \(-0.379156\pi\)
0.0305707 + 0.999533i \(0.490268\pi\)
\(810\) −6.37088 1.51305i −0.223850 0.0531633i
\(811\) −41.4889 + 15.1007i −1.45687 + 0.530259i −0.944502 0.328505i \(-0.893455\pi\)
−0.512371 + 0.858764i \(0.671233\pi\)
\(812\) −9.25102 3.36710i −0.324647 0.118162i
\(813\) 5.55947i 0.194979i
\(814\) 0.847837 6.50559i 0.0297167 0.228021i
\(815\) −39.9235 + 20.0271i −1.39846 + 0.701519i
\(816\) 1.71935 4.72388i 0.0601894 0.165369i
\(817\) −0.536029 1.47273i −0.0187533 0.0515242i
\(818\) 7.99183 9.52429i 0.279428 0.333009i
\(819\) 19.5044 + 3.43916i 0.681540 + 0.120174i
\(820\) −11.9753 + 6.00726i −0.418196 + 0.209783i
\(821\) 2.50778 14.2223i 0.0875221 0.496363i −0.909262 0.416225i \(-0.863353\pi\)
0.996784 0.0801377i \(-0.0255360\pi\)
\(822\) 13.3068 + 23.0481i 0.464130 + 0.803896i
\(823\) −22.5648 26.8917i −0.786560 0.937385i 0.212650 0.977128i \(-0.431791\pi\)
−0.999210 + 0.0397429i \(0.987346\pi\)
\(824\) 6.45081 11.1731i 0.224725 0.389235i
\(825\) −0.802012 + 6.80681i −0.0279225 + 0.236983i
\(826\) −20.5123 7.46588i −0.713716 0.259771i
\(827\) −16.1147 13.5218i −0.560363 0.470200i 0.318069 0.948067i \(-0.396966\pi\)
−0.878432 + 0.477867i \(0.841410\pi\)
\(828\) 6.26341 10.8485i 0.217668 0.377013i
\(829\) −29.8827 + 5.26912i −1.03787 + 0.183004i −0.666518 0.745489i \(-0.732216\pi\)
−0.371350 + 0.928493i \(0.621105\pi\)
\(830\) −25.6176 + 19.0531i −0.889201 + 0.661344i
\(831\) −17.6548 21.0401i −0.612438 0.729875i
\(832\) 5.52358 2.01042i 0.191496 0.0696987i
\(833\) 4.01174 1.46015i 0.138999 0.0505913i
\(834\) −6.17506 7.35915i −0.213825 0.254826i
\(835\) −12.0491 16.2005i −0.416977 0.560641i
\(836\) −0.742116 + 0.130855i −0.0256666 + 0.00452572i
\(837\) 10.6963 18.5266i 0.369720 0.640373i
\(838\) 0.401202 + 0.336648i 0.0138593 + 0.0116293i
\(839\) 33.6716 + 12.2554i 1.16247 + 0.423105i 0.849980 0.526815i \(-0.176614\pi\)
0.312492 + 0.949920i \(0.398836\pi\)
\(840\) 5.77566 + 3.80256i 0.199279 + 0.131201i
\(841\) −6.31522 + 10.9383i −0.217766 + 0.377182i
\(842\) 10.1105 + 12.0492i 0.348431 + 0.415244i
\(843\) 12.4472 + 21.5592i 0.428705 + 0.742539i
\(844\) −4.52736 + 25.6759i −0.155838 + 0.883801i
\(845\) 43.0752 21.6081i 1.48183 0.743342i
\(846\) −10.4342 1.83984i −0.358736 0.0632549i
\(847\) −15.3852 + 18.3353i −0.528641 + 0.630010i
\(848\) 2.67943 + 7.36167i 0.0920120 + 0.252801i
\(849\) −1.54320 + 4.23990i −0.0529624 + 0.145513i
\(850\) −11.8247 + 15.8526i −0.405584 + 0.543739i
\(851\) −40.5220 + 37.2290i −1.38907 + 1.27619i
\(852\) 13.6570i 0.467882i
\(853\) −23.0861 8.40265i −0.790453 0.287701i −0.0849286 0.996387i \(-0.527066\pi\)
−0.705524 + 0.708686i \(0.749288\pi\)
\(854\) −27.5491 + 10.0271i −0.942711 + 0.343119i
\(855\) −0.499877 + 2.10479i −0.0170954 + 0.0719823i
\(856\) 1.18265 + 0.208533i 0.0404220 + 0.00712750i
\(857\) −3.10084 −0.105923 −0.0529613 0.998597i \(-0.516866\pi\)
−0.0529613 + 0.998597i \(0.516866\pi\)
\(858\) 7.93512 + 1.39918i 0.270901 + 0.0477671i
\(859\) 14.4811 8.36065i 0.494088 0.285262i −0.232181 0.972673i \(-0.574586\pi\)
0.726269 + 0.687411i \(0.241253\pi\)
\(860\) 1.98882 4.60471i 0.0678180 0.157019i
\(861\) −9.26447 + 16.0465i −0.315732 + 0.546865i
\(862\) −2.35898 + 1.36196i −0.0803473 + 0.0463885i
\(863\) 6.31398 17.3475i 0.214930 0.590516i −0.784636 0.619956i \(-0.787150\pi\)
0.999567 + 0.0294402i \(0.00937246\pi\)
\(864\) 3.58206 4.26894i 0.121864 0.145232i
\(865\) −20.3848 1.19678i −0.693105 0.0406918i
\(866\) 19.5547 3.44802i 0.664495 0.117168i
\(867\) −1.69581 + 0.299017i −0.0575927 + 0.0101552i
\(868\) −7.15548 + 6.00416i −0.242873 + 0.203794i
\(869\) 0.109810 + 0.301701i 0.00372506 + 0.0102345i
\(870\) −7.89439 + 8.35978i −0.267645 + 0.283423i
\(871\) 15.4699 + 18.4364i 0.524179 + 0.624692i
\(872\) −11.8931 + 2.09708i −0.402753 + 0.0710162i
\(873\) −1.25047 7.09179i −0.0423222 0.240021i
\(874\) 5.47377 + 3.16028i 0.185153 + 0.106898i
\(875\) −17.4576 20.8642i −0.590176 0.705338i
\(876\) −0.114907 0.0418229i −0.00388236 0.00141306i
\(877\) 50.3114 29.0473i 1.69890 0.980858i 0.752086 0.659065i \(-0.229048\pi\)
0.946810 0.321794i \(-0.104286\pi\)
\(878\) −24.2069 13.9758i −0.816942 0.471662i
\(879\) 18.5597 15.5734i 0.626002 0.525278i
\(880\) −2.01435 1.32620i −0.0679038 0.0447063i
\(881\) 1.10109 6.24462i 0.0370968 0.210386i −0.960625 0.277848i \(-0.910379\pi\)
0.997722 + 0.0674615i \(0.0214900\pi\)
\(882\) 1.49458 0.0503251
\(883\) 2.03111 11.5190i 0.0683524 0.387646i −0.931370 0.364075i \(-0.881385\pi\)
0.999722 0.0235710i \(-0.00750359\pi\)
\(884\) 17.8106 + 14.9449i 0.599035 + 0.502650i
\(885\) −17.5043 + 18.5362i −0.588400 + 0.623087i
\(886\) −7.81344 + 21.4673i −0.262498 + 0.721207i
\(887\) 27.9053i 0.936968i 0.883472 + 0.468484i \(0.155200\pi\)
−0.883472 + 0.468484i \(0.844800\pi\)
\(888\) −6.51467 + 4.16227i −0.218618 + 0.139677i
\(889\) 10.5381 0.353436
\(890\) 3.17128 + 27.2418i 0.106302 + 0.913146i
\(891\) 2.96797 1.08025i 0.0994306 0.0361898i
\(892\) −1.05858 + 1.26156i −0.0354438 + 0.0422403i
\(893\) 0.928313 5.26473i 0.0310648 0.176177i
\(894\) 7.93161i 0.265273i
\(895\) −26.4376 + 7.90152i −0.883712 + 0.264119i
\(896\) −2.10725 + 1.21662i −0.0703982 + 0.0406444i
\(897\) −43.4416 51.7716i −1.45047 1.72860i
\(898\) −10.9647 6.33049i −0.365898 0.211251i
\(899\) −7.76583 13.4508i −0.259005 0.448610i
\(900\) −5.78811 + 3.79920i −0.192937 + 0.126640i
\(901\) −19.9181 + 23.7374i −0.663567 + 0.790809i
\(902\) 3.23113 5.59649i 0.107585 0.186343i
\(903\) −1.20459 6.83156i −0.0400862 0.227340i
\(904\) 0.287108 + 1.62827i 0.00954905 + 0.0541554i
\(905\) −3.35965 + 7.77861i −0.111679 + 0.258570i
\(906\) 2.18852 + 6.01290i 0.0727086 + 0.199765i
\(907\) 22.7578 8.28317i 0.755661 0.275038i 0.0646752 0.997906i \(-0.479399\pi\)
0.690986 + 0.722868i \(0.257177\pi\)
\(908\) 14.3674 12.0557i 0.476799 0.400082i
\(909\) 4.12607 + 23.4001i 0.136853 + 0.776133i
\(910\) −25.6623 + 19.0864i −0.850698 + 0.632707i
\(911\) 25.9838 + 15.0017i 0.860881 + 0.497030i 0.864307 0.502964i \(-0.167757\pi\)
−0.00342628 + 0.999994i \(0.501091\pi\)
\(912\) 0.680229 + 0.570780i 0.0225246 + 0.0189004i
\(913\) 5.26693 14.4708i 0.174310 0.478913i
\(914\) 9.92836 + 17.1964i 0.328401 + 0.568807i
\(915\) −2.00681 + 34.1821i −0.0663431 + 1.13002i
\(916\) 6.99511 5.86959i 0.231125 0.193937i
\(917\) 5.76634 + 9.98759i 0.190421 + 0.329819i
\(918\) 21.7073 + 3.82759i 0.716449 + 0.126329i
\(919\) 50.6212i 1.66984i −0.550372 0.834920i \(-0.685514\pi\)
0.550372 0.834920i \(-0.314486\pi\)
\(920\) 5.79260 + 19.3814i 0.190976 + 0.638986i
\(921\) 2.08575 + 1.75015i 0.0687277 + 0.0576694i
\(922\) 3.71601 + 10.2097i 0.122380 + 0.336237i
\(923\) −59.3544 21.6032i −1.95367 0.711079i
\(924\) −3.33543 −0.109728
\(925\) 29.2568 8.30913i 0.961957 0.273202i
\(926\) 5.98996 0.196842
\(927\) 16.7877 + 6.11023i 0.551381 + 0.200686i
\(928\) −1.38379 3.80193i −0.0454251 0.124805i
\(929\) 15.2989 + 12.8373i 0.501941 + 0.421178i 0.858283 0.513177i \(-0.171532\pi\)
−0.356342 + 0.934356i \(0.615976\pi\)
\(930\) 3.12405 + 10.4527i 0.102442 + 0.342758i
\(931\) 0.754110i 0.0247150i
\(932\) 7.63600 + 1.34643i 0.250125 + 0.0441039i
\(933\) 0.372448 + 0.645099i 0.0121934 + 0.0211196i
\(934\) 27.5821 23.1442i 0.902515 0.757300i
\(935\) 0.559086 9.52293i 0.0182841 0.311433i
\(936\) 4.06974 + 7.04900i 0.133024 + 0.230404i
\(937\) 7.22742 19.8572i 0.236109 0.648705i −0.763885 0.645352i \(-0.776711\pi\)
0.999994 0.00335278i \(-0.00106722\pi\)
\(938\) −7.63177 6.40382i −0.249186 0.209092i
\(939\) 23.0607 + 13.3141i 0.752558 + 0.434490i
\(940\) 13.7285 10.2106i 0.447775 0.333033i
\(941\) −5.59678 31.7409i −0.182450 1.03472i −0.929188 0.369606i \(-0.879493\pi\)
0.746739 0.665117i \(-0.231619\pi\)
\(942\) −3.98144 + 3.34082i −0.129722 + 0.108850i
\(943\) −50.9338 + 18.5384i −1.65863 + 0.603693i
\(944\) −3.06829 8.43005i −0.0998642 0.274375i
\(945\) −12.0223 + 27.8352i −0.391084 + 0.905478i
\(946\) 0.420120 + 2.38262i 0.0136593 + 0.0774655i
\(947\) 5.20536 + 29.5210i 0.169151 + 0.959305i 0.944680 + 0.327993i \(0.106372\pi\)
−0.775529 + 0.631312i \(0.782517\pi\)
\(948\) 0.189166 0.327645i 0.00614381 0.0106414i
\(949\) 0.363530 0.433238i 0.0118007 0.0140635i
\(950\) −1.91694 2.92047i −0.0621937 0.0947525i
\(951\) −6.86274 11.8866i −0.222540 0.385450i
\(952\) −8.33499 4.81221i −0.270139 0.155965i
\(953\) 24.5483 + 29.2556i 0.795199 + 0.947681i 0.999512 0.0312245i \(-0.00994069\pi\)
−0.204314 + 0.978905i \(0.565496\pi\)
\(954\) −9.39470 + 5.42403i −0.304165 + 0.175610i
\(955\) −50.6699 + 15.1439i −1.63964 + 0.490046i
\(956\) 1.80932i 0.0585177i
\(957\) 0.963066 5.46182i 0.0311315 0.176556i
\(958\) 25.0196 29.8172i 0.808346 0.963350i
\(959\) 47.8798 17.4268i 1.54612 0.562741i
\(960\) 0.328613 + 2.82284i 0.0106060 + 0.0911067i
\(961\) 16.2633 0.524624
\(962\) −7.78435 34.8972i −0.250978 1.12513i
\(963\) 1.66290i 0.0535861i
\(964\) 1.67662 4.60646i 0.0540001 0.148364i
\(965\) 20.1843 21.3742i 0.649754 0.688059i
\(966\) 21.4310 + 17.9827i 0.689530 + 0.578585i
\(967\) 4.72277 26.7841i 0.151874 0.861320i −0.809714 0.586824i \(-0.800378\pi\)
0.961588 0.274496i \(-0.0885109\pi\)
\(968\) −9.83671 −0.316164
\(969\) −0.609903 + 3.45893i −0.0195929 + 0.111117i
\(970\) 9.71260 + 6.39454i 0.311853 + 0.205316i
\(971\) 18.7695 15.7495i 0.602341 0.505424i −0.289856 0.957070i \(-0.593607\pi\)
0.892197 + 0.451646i \(0.149163\pi\)
\(972\) 11.2551 + 6.49815i 0.361008 + 0.208428i
\(973\) −15.9281 + 9.19612i −0.510633 + 0.294814i
\(974\) −24.5878 8.94924i −0.787845 0.286752i
\(975\) 8.58049 + 36.3544i 0.274796 + 1.16427i
\(976\) −10.4344 6.02430i −0.333997 0.192833i
\(977\) 4.96750 + 28.1721i 0.158925 + 0.901306i 0.955110 + 0.296253i \(0.0957370\pi\)
−0.796185 + 0.605053i \(0.793152\pi\)
\(978\) −25.0011 + 4.40836i −0.799446 + 0.140964i
\(979\) −8.50323 10.1338i −0.271764 0.323876i
\(980\) −1.65704 + 1.75473i −0.0529322 + 0.0560527i
\(981\) −5.71951 15.7142i −0.182610 0.501716i
\(982\) −25.6422 + 21.5164i −0.818276 + 0.686615i
\(983\) −26.1393 + 4.60906i −0.833714 + 0.147006i −0.574182 0.818728i \(-0.694680\pi\)
−0.259533 + 0.965734i \(0.583569\pi\)
\(984\) −7.49924 + 1.32232i −0.239067 + 0.0421539i
\(985\) −59.9839 3.52162i −1.91125 0.112208i
\(986\) 10.2867 12.2592i 0.327595 0.390412i
\(987\) 8.09297 22.2353i 0.257602 0.707756i
\(988\) −3.55666 + 2.05344i −0.113153 + 0.0653286i
\(989\) 10.1463 17.5739i 0.322634 0.558819i
\(990\) 1.32416 3.06583i 0.0420845 0.0974384i
\(991\) −42.9167 + 24.7780i −1.36330 + 0.787099i −0.990061 0.140638i \(-0.955085\pi\)
−0.373234 + 0.927737i \(0.621751\pi\)
\(992\) −3.78051 0.666607i −0.120031 0.0211648i
\(993\) −29.5144 −0.936610
\(994\) 25.7495 + 4.54033i 0.816724 + 0.144011i
\(995\) 5.27499 22.2110i 0.167229 0.704135i
\(996\) −17.0519 + 6.20638i −0.540310 + 0.196657i
\(997\) 52.1491 + 18.9807i 1.65158 + 0.601125i 0.989006 0.147873i \(-0.0472426\pi\)
0.662572 + 0.748998i \(0.269465\pi\)
\(998\) 5.50807i 0.174355i
\(999\) −22.9334 24.9619i −0.725580 0.789759i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 370.2.v.a.169.8 60
5.4 even 2 370.2.v.b.169.3 yes 60
37.30 even 18 370.2.v.b.289.3 yes 60
185.104 even 18 inner 370.2.v.a.289.8 yes 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.v.a.169.8 60 1.1 even 1 trivial
370.2.v.a.289.8 yes 60 185.104 even 18 inner
370.2.v.b.169.3 yes 60 5.4 even 2
370.2.v.b.289.3 yes 60 37.30 even 18