Properties

Label 169.2.k.a.10.1
Level $169$
Weight $2$
Character 169.10
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 169.10
Dual form 169.2.k.a.17.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.60774 - 0.532374i) q^{2} +(-2.66189 + 0.432599i) q^{3} +(4.67692 + 1.99265i) q^{4} +(-0.498005 + 2.02048i) q^{5} +(7.17182 + 0.289014i) q^{6} +(1.97372 - 0.936542i) q^{7} +(-6.75456 - 4.66233i) q^{8} +(4.05291 - 1.35306i) q^{9} +O(q^{10})\) \(q+(-2.60774 - 0.532374i) q^{2} +(-2.66189 + 0.432599i) q^{3} +(4.67692 + 1.99265i) q^{4} +(-0.498005 + 2.02048i) q^{5} +(7.17182 + 0.289014i) q^{6} +(1.97372 - 0.936542i) q^{7} +(-6.75456 - 4.66233i) q^{8} +(4.05291 - 1.35306i) q^{9} +(2.37432 - 5.00377i) q^{10} +(-1.04466 + 3.12913i) q^{11} +(-13.3115 - 3.28098i) q^{12} +(-3.56877 + 0.513691i) q^{13} +(-5.64553 + 1.39150i) q^{14} +(0.451574 - 5.59374i) q^{15} +(8.08878 + 8.42131i) q^{16} +(-0.00965072 - 0.0203385i) q^{17} +(-11.2893 + 1.37077i) q^{18} +(-5.30097 - 3.06052i) q^{19} +(-6.35524 + 8.45729i) q^{20} +(-4.84868 + 3.34680i) q^{21} +(4.39005 - 7.60380i) q^{22} +(-3.51581 - 6.08956i) q^{23} +(19.9968 + 9.48861i) q^{24} +(0.592934 + 0.311196i) q^{25} +(9.57989 + 0.560347i) q^{26} +(-3.03935 + 1.59517i) q^{27} +(11.0971 - 0.447199i) q^{28} +(0.687458 - 3.36739i) q^{29} +(-4.15555 + 14.3466i) q^{30} +(-3.76670 - 7.17686i) q^{31} +(-7.83699 - 12.3932i) q^{32} +(1.42710 - 8.78131i) q^{33} +(0.0143389 + 0.0581752i) q^{34} +(0.909346 + 4.45427i) q^{35} +(21.6513 + 1.74787i) q^{36} +(-6.26268 + 9.90364i) q^{37} +(12.1942 + 10.8031i) q^{38} +(9.27746 - 2.91124i) q^{39} +(12.7840 - 11.3256i) q^{40} +(-0.137662 - 0.847071i) q^{41} +(14.4258 - 6.14627i) q^{42} +(2.04832 - 1.29528i) q^{43} +(-11.1210 + 12.5530i) q^{44} +(0.715469 + 8.86267i) q^{45} +(5.92638 + 17.7517i) q^{46} +(-6.60753 - 0.802300i) q^{47} +(-25.1745 - 18.9174i) q^{48} +(-1.40866 + 1.72529i) q^{49} +(-1.38054 - 1.12718i) q^{50} +(0.0344876 + 0.0499639i) q^{51} +(-17.7145 - 4.70881i) q^{52} +(3.70299 - 5.36470i) q^{53} +(8.77505 - 2.54172i) q^{54} +(-5.80211 - 3.66903i) q^{55} +(-17.6981 - 2.87622i) q^{56} +(15.4346 + 5.85357i) q^{57} +(-3.58542 + 8.41529i) q^{58} +(-5.11032 - 4.90853i) q^{59} +(13.2583 - 25.2617i) q^{60} +(0.0689205 - 0.00556384i) q^{61} +(6.00181 + 20.7207i) q^{62} +(6.73211 - 6.46628i) q^{63} +(5.55772 + 14.6545i) q^{64} +(0.739359 - 7.46646i) q^{65} +(-8.39645 + 22.1396i) q^{66} +(-0.120665 - 0.283211i) q^{67} +(-0.00460822 - 0.114352i) q^{68} +(11.9930 + 14.6888i) q^{69} -12.0997i q^{70} +(-0.706432 + 0.576784i) q^{71} +(-33.6841 - 9.75671i) q^{72} +(0.192079 + 0.216812i) q^{73} +(21.6039 - 22.4920i) q^{74} +(-1.71295 - 0.571867i) q^{75} +(-18.6937 - 24.8768i) q^{76} +(0.868699 + 7.15438i) q^{77} +(-25.7430 + 2.65267i) q^{78} +(-0.754236 + 6.21169i) q^{79} +(-21.0434 + 12.1494i) q^{80} +(-2.84725 + 2.13957i) q^{81} +(-0.0919707 + 2.28223i) q^{82} +(3.44167 - 1.30526i) q^{83} +(-29.3459 + 5.99100i) q^{84} +(0.0458996 - 0.00937048i) q^{85} +(-6.03106 + 2.28728i) q^{86} +(-0.373206 + 9.26102i) q^{87} +(21.6452 - 16.2653i) q^{88} +(-5.46935 + 3.15773i) q^{89} +(2.85250 - 23.4924i) q^{90} +(-6.56266 + 4.35618i) q^{91} +(-4.30879 - 35.4861i) q^{92} +(13.1313 + 17.4745i) q^{93} +(16.8036 + 5.60986i) q^{94} +(8.82364 - 9.18638i) q^{95} +(26.2225 + 29.5991i) q^{96} +(-1.44972 - 0.419916i) q^{97} +(4.59191 - 3.74918i) q^{98} +14.0956i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{78}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60774 0.532374i −1.84395 0.376445i −0.854280 0.519813i \(-0.826002\pi\)
−0.989669 + 0.143368i \(0.954207\pi\)
\(3\) −2.66189 + 0.432599i −1.53684 + 0.249761i −0.869102 0.494632i \(-0.835303\pi\)
−0.667741 + 0.744394i \(0.732739\pi\)
\(4\) 4.67692 + 1.99265i 2.33846 + 0.996324i
\(5\) −0.498005 + 2.02048i −0.222714 + 0.903588i 0.748067 + 0.663623i \(0.230982\pi\)
−0.970782 + 0.239965i \(0.922864\pi\)
\(6\) 7.17182 + 0.289014i 2.92788 + 0.117990i
\(7\) 1.97372 0.936542i 0.745996 0.353979i −0.0174530 0.999848i \(-0.505556\pi\)
0.763449 + 0.645868i \(0.223504\pi\)
\(8\) −6.75456 4.66233i −2.38810 1.64838i
\(9\) 4.05291 1.35306i 1.35097 0.451020i
\(10\) 2.37432 5.00377i 0.750825 1.58233i
\(11\) −1.04466 + 3.12913i −0.314976 + 0.943467i 0.665427 + 0.746463i \(0.268250\pi\)
−0.980403 + 0.197004i \(0.936879\pi\)
\(12\) −13.3115 3.28098i −3.84269 0.947138i
\(13\) −3.56877 + 0.513691i −0.989799 + 0.142472i
\(14\) −5.64553 + 1.39150i −1.50883 + 0.371894i
\(15\) 0.451574 5.59374i 0.116596 1.44430i
\(16\) 8.08878 + 8.42131i 2.02220 + 2.10533i
\(17\) −0.00965072 0.0203385i −0.00234064 0.00493280i 0.902277 0.431157i \(-0.141895\pi\)
−0.904617 + 0.426225i \(0.859843\pi\)
\(18\) −11.2893 + 1.37077i −2.66091 + 0.323093i
\(19\) −5.30097 3.06052i −1.21613 0.702131i −0.252040 0.967717i \(-0.581101\pi\)
−0.964087 + 0.265586i \(0.914435\pi\)
\(20\) −6.35524 + 8.45729i −1.42107 + 1.89111i
\(21\) −4.84868 + 3.34680i −1.05807 + 0.730332i
\(22\) 4.39005 7.60380i 0.935963 1.62113i
\(23\) −3.51581 6.08956i −0.733096 1.26976i −0.955554 0.294818i \(-0.904741\pi\)
0.222457 0.974942i \(-0.428592\pi\)
\(24\) 19.9968 + 9.48861i 4.08183 + 1.93685i
\(25\) 0.592934 + 0.311196i 0.118587 + 0.0622392i
\(26\) 9.57989 + 0.560347i 1.87877 + 0.109893i
\(27\) −3.03935 + 1.59517i −0.584923 + 0.306991i
\(28\) 11.0971 0.447199i 2.09716 0.0845126i
\(29\) 0.687458 3.36739i 0.127658 0.625309i −0.864738 0.502223i \(-0.832516\pi\)
0.992396 0.123086i \(-0.0392791\pi\)
\(30\) −4.15555 + 14.3466i −0.758696 + 2.61932i
\(31\) −3.76670 7.17686i −0.676520 1.28900i −0.945427 0.325835i \(-0.894355\pi\)
0.268906 0.963166i \(-0.413338\pi\)
\(32\) −7.83699 12.3932i −1.38540 2.19083i
\(33\) 1.42710 8.78131i 0.248427 1.52863i
\(34\) 0.0143389 + 0.0581752i 0.00245910 + 0.00997696i
\(35\) 0.909346 + 4.45427i 0.153707 + 0.752909i
\(36\) 21.6513 + 1.74787i 3.60855 + 0.291312i
\(37\) −6.26268 + 9.90364i −1.02958 + 1.62815i −0.287568 + 0.957760i \(0.592847\pi\)
−0.742011 + 0.670388i \(0.766128\pi\)
\(38\) 12.1942 + 10.8031i 1.97816 + 1.75250i
\(39\) 9.27746 2.91124i 1.48558 0.466171i
\(40\) 12.7840 11.3256i 2.02132 1.79074i
\(41\) −0.137662 0.847071i −0.0214993 0.132290i 0.974082 0.226196i \(-0.0726289\pi\)
−0.995581 + 0.0939055i \(0.970065\pi\)
\(42\) 14.4258 6.14627i 2.22595 0.948391i
\(43\) 2.04832 1.29528i 0.312366 0.197528i −0.369078 0.929398i \(-0.620327\pi\)
0.681444 + 0.731870i \(0.261352\pi\)
\(44\) −11.1210 + 12.5530i −1.67656 + 1.89244i
\(45\) 0.715469 + 8.86267i 0.106656 + 1.32117i
\(46\) 5.92638 + 17.7517i 0.873798 + 2.61734i
\(47\) −6.60753 0.802300i −0.963808 0.117027i −0.376522 0.926407i \(-0.622880\pi\)
−0.587285 + 0.809380i \(0.699803\pi\)
\(48\) −25.1745 18.9174i −3.63363 2.73049i
\(49\) −1.40866 + 1.72529i −0.201237 + 0.246471i
\(50\) −1.38054 1.12718i −0.195238 0.159407i
\(51\) 0.0344876 + 0.0499639i 0.00482923 + 0.00699634i
\(52\) −17.7145 4.70881i −2.45655 0.652995i
\(53\) 3.70299 5.36470i 0.508644 0.736898i −0.481577 0.876404i \(-0.659936\pi\)
0.990221 + 0.139505i \(0.0445512\pi\)
\(54\) 8.77505 2.54172i 1.19413 0.345885i
\(55\) −5.80211 3.66903i −0.782356 0.494732i
\(56\) −17.6981 2.87622i −2.36500 0.384351i
\(57\) 15.4346 + 5.85357i 2.04436 + 0.775324i
\(58\) −3.58542 + 8.41529i −0.470789 + 1.10498i
\(59\) −5.11032 4.90853i −0.665307 0.639036i 0.281981 0.959420i \(-0.409009\pi\)
−0.947288 + 0.320384i \(0.896188\pi\)
\(60\) 13.2583 25.2617i 1.71164 3.26127i
\(61\) 0.0689205 0.00556384i 0.00882437 0.000712377i −0.0760536 0.997104i \(-0.524232\pi\)
0.0848780 + 0.996391i \(0.472950\pi\)
\(62\) 6.00181 + 20.7207i 0.762231 + 2.63153i
\(63\) 6.73211 6.46628i 0.848167 0.814675i
\(64\) 5.55772 + 14.6545i 0.694715 + 1.83181i
\(65\) 0.739359 7.46646i 0.0917062 0.926101i
\(66\) −8.39645 + 22.1396i −1.03353 + 2.72520i
\(67\) −0.120665 0.283211i −0.0147416 0.0345997i 0.912446 0.409197i \(-0.134191\pi\)
−0.927188 + 0.374597i \(0.877781\pi\)
\(68\) −0.00460822 0.114352i −0.000558829 0.0138672i
\(69\) 11.9930 + 14.6888i 1.44379 + 1.76832i
\(70\) 12.0997i 1.44619i
\(71\) −0.706432 + 0.576784i −0.0838381 + 0.0684517i −0.673438 0.739244i \(-0.735183\pi\)
0.589600 + 0.807696i \(0.299286\pi\)
\(72\) −33.6841 9.75671i −3.96970 1.14984i
\(73\) 0.192079 + 0.216812i 0.0224811 + 0.0253759i 0.759644 0.650339i \(-0.225373\pi\)
−0.737163 + 0.675715i \(0.763835\pi\)
\(74\) 21.6039 22.4920i 2.51140 2.61464i
\(75\) −1.71295 0.571867i −0.197794 0.0660335i
\(76\) −18.6937 24.8768i −2.14431 2.85356i
\(77\) 0.868699 + 7.15438i 0.0989975 + 0.815318i
\(78\) −25.7430 + 2.65267i −2.91483 + 0.300356i
\(79\) −0.754236 + 6.21169i −0.0848581 + 0.698870i 0.886746 + 0.462257i \(0.152960\pi\)
−0.971604 + 0.236612i \(0.923963\pi\)
\(80\) −21.0434 + 12.1494i −2.35272 + 1.35834i
\(81\) −2.84725 + 2.13957i −0.316361 + 0.237730i
\(82\) −0.0919707 + 2.28223i −0.0101565 + 0.252030i
\(83\) 3.44167 1.30526i 0.377773 0.143270i −0.158407 0.987374i \(-0.550636\pi\)
0.536180 + 0.844103i \(0.319867\pi\)
\(84\) −29.3459 + 5.99100i −3.20190 + 0.653672i
\(85\) 0.0458996 0.00937048i 0.00497852 0.00101637i
\(86\) −6.03106 + 2.28728i −0.650346 + 0.246644i
\(87\) −0.373206 + 9.26102i −0.0400119 + 0.992886i
\(88\) 21.6452 16.2653i 2.30739 1.73389i
\(89\) −5.46935 + 3.15773i −0.579750 + 0.334719i −0.761034 0.648712i \(-0.775308\pi\)
0.181284 + 0.983431i \(0.441975\pi\)
\(90\) 2.85250 23.4924i 0.300680 2.47632i
\(91\) −6.56266 + 4.35618i −0.687954 + 0.456652i
\(92\) −4.30879 35.4861i −0.449223 3.69968i
\(93\) 13.1313 + 17.4745i 1.36165 + 1.81202i
\(94\) 16.8036 + 5.60986i 1.73316 + 0.578613i
\(95\) 8.82364 9.18638i 0.905286 0.942503i
\(96\) 26.2225 + 29.5991i 2.67632 + 3.02094i
\(97\) −1.44972 0.419916i −0.147197 0.0426360i 0.203801 0.979012i \(-0.434670\pi\)
−0.350998 + 0.936376i \(0.614158\pi\)
\(98\) 4.59191 3.74918i 0.463853 0.378725i
\(99\) 14.0956i 1.41666i
\(100\) 2.15300 + 2.63695i 0.215300 + 0.263695i
\(101\) −0.285105 7.07480i −0.0283690 0.703969i −0.949324 0.314300i \(-0.898230\pi\)
0.920955 0.389669i \(-0.127411\pi\)
\(102\) −0.0633351 0.148653i −0.00627111 0.0147188i
\(103\) −4.00633 + 10.5638i −0.394756 + 1.04088i 0.579407 + 0.815038i \(0.303284\pi\)
−0.974163 + 0.225847i \(0.927485\pi\)
\(104\) 26.5005 + 13.1690i 2.59858 + 1.29133i
\(105\) −4.34749 11.4634i −0.424272 1.11871i
\(106\) −12.5124 + 12.0184i −1.21532 + 1.16733i
\(107\) 1.02349 + 3.53351i 0.0989449 + 0.341598i 0.994683 0.102985i \(-0.0328393\pi\)
−0.895738 + 0.444582i \(0.853352\pi\)
\(108\) −17.3934 + 1.40414i −1.67368 + 0.135113i
\(109\) 5.54592 10.5669i 0.531203 1.01212i −0.460989 0.887406i \(-0.652505\pi\)
0.992192 0.124717i \(-0.0398023\pi\)
\(110\) 13.1771 + 12.6568i 1.25639 + 1.20677i
\(111\) 12.3863 29.0716i 1.17565 2.75936i
\(112\) 23.8519 + 9.04583i 2.25379 + 0.854751i
\(113\) −2.13634 0.347190i −0.200970 0.0326609i 0.0590927 0.998253i \(-0.481179\pi\)
−0.260063 + 0.965592i \(0.583743\pi\)
\(114\) −37.1331 23.4815i −3.47783 2.19925i
\(115\) 14.0547 4.07100i 1.31061 0.379623i
\(116\) 9.92521 14.3791i 0.921533 1.33507i
\(117\) −13.7689 + 6.91071i −1.27293 + 0.638895i
\(118\) 10.7132 + 15.5208i 0.986231 + 1.42880i
\(119\) −0.0380956 0.0311041i −0.00349222 0.00285131i
\(120\) −29.1301 + 35.6779i −2.65920 + 3.25693i
\(121\) 0.0937402 + 0.0704412i 0.00852184 + 0.00640374i
\(122\) −0.182689 0.0221824i −0.0165399 0.00200830i
\(123\) 0.732885 + 2.19526i 0.0660820 + 0.197940i
\(124\) −3.31562 41.0713i −0.297751 3.68831i
\(125\) −7.82368 + 8.83111i −0.699772 + 0.789879i
\(126\) −20.9981 + 13.2784i −1.87066 + 1.18293i
\(127\) −3.14916 + 1.34173i −0.279443 + 0.119060i −0.527141 0.849778i \(-0.676736\pi\)
0.247698 + 0.968837i \(0.420326\pi\)
\(128\) −1.98712 12.2272i −0.175638 1.08075i
\(129\) −4.89207 + 4.33400i −0.430723 + 0.381587i
\(130\) −5.90300 + 19.0770i −0.517727 + 1.67316i
\(131\) −4.65044 4.11993i −0.406311 0.359960i 0.435076 0.900394i \(-0.356722\pi\)
−0.841387 + 0.540434i \(0.818260\pi\)
\(132\) 24.1725 38.2258i 2.10395 3.32713i
\(133\) −13.3289 1.07602i −1.15577 0.0933031i
\(134\) 0.163888 + 0.802778i 0.0141578 + 0.0693495i
\(135\) −1.70941 6.93536i −0.147123 0.596900i
\(136\) −0.0296384 + 0.182372i −0.00254147 + 0.0156383i
\(137\) 9.68727 + 15.3192i 0.827639 + 1.30881i 0.948705 + 0.316163i \(0.102395\pi\)
−0.121066 + 0.992645i \(0.538631\pi\)
\(138\) −23.4548 44.6893i −1.99660 3.80421i
\(139\) 2.63093 9.08302i 0.223153 0.770412i −0.768317 0.640070i \(-0.778905\pi\)
0.991469 0.130342i \(-0.0416075\pi\)
\(140\) −4.62286 + 22.6443i −0.390703 + 1.91379i
\(141\) 17.9356 0.722780i 1.51045 0.0608691i
\(142\) 2.14925 1.12802i 0.180361 0.0946610i
\(143\) 2.12073 11.7038i 0.177345 0.978718i
\(144\) 44.1777 + 23.1862i 3.68147 + 1.93219i
\(145\) 6.46140 + 3.06597i 0.536590 + 0.254615i
\(146\) −0.385466 0.667646i −0.0319014 0.0552548i
\(147\) 3.00334 5.20193i 0.247711 0.429048i
\(148\) −49.0245 + 33.8392i −4.02979 + 2.78156i
\(149\) −9.34429 + 12.4350i −0.765514 + 1.01871i 0.233412 + 0.972378i \(0.425011\pi\)
−0.998926 + 0.0463361i \(0.985245\pi\)
\(150\) 4.16248 + 2.40321i 0.339865 + 0.196221i
\(151\) 11.1515 1.35403i 0.907494 0.110190i 0.346539 0.938036i \(-0.387357\pi\)
0.560956 + 0.827846i \(0.310434\pi\)
\(152\) 21.5366 + 45.3874i 1.74685 + 3.68140i
\(153\) −0.0666327 0.0693720i −0.00538694 0.00560840i
\(154\) 1.54346 19.1192i 0.124376 1.54067i
\(155\) 16.3766 4.03646i 1.31540 0.324216i
\(156\) 49.1910 + 4.87109i 3.93843 + 0.389999i
\(157\) −2.28902 0.564194i −0.182684 0.0450275i 0.146912 0.989150i \(-0.453066\pi\)
−0.329596 + 0.944122i \(0.606913\pi\)
\(158\) 5.27379 15.7969i 0.419560 1.25674i
\(159\) −7.53618 + 15.8822i −0.597658 + 1.25954i
\(160\) 28.9431 9.66264i 2.28816 0.763899i
\(161\) −12.6423 8.72638i −0.996356 0.687735i
\(162\) 8.56394 4.06364i 0.672846 0.319270i
\(163\) −17.7900 0.716913i −1.39342 0.0561530i −0.667848 0.744298i \(-0.732784\pi\)
−0.725573 + 0.688145i \(0.758425\pi\)
\(164\) 1.04408 4.23600i 0.0815289 0.330776i
\(165\) 17.0318 + 7.25657i 1.32592 + 0.564923i
\(166\) −9.66987 + 1.57151i −0.750527 + 0.121973i
\(167\) 20.4682 + 4.17862i 1.58388 + 0.323352i 0.909717 0.415230i \(-0.136299\pi\)
0.674164 + 0.738581i \(0.264504\pi\)
\(168\) 48.3546 3.73064
\(169\) 12.4722 3.66649i 0.959403 0.282038i
\(170\) −0.124683 −0.00956274
\(171\) −25.6255 5.23147i −1.95963 0.400061i
\(172\) 12.1609 1.97633i 0.927258 0.150694i
\(173\) 0.825525 + 0.351723i 0.0627635 + 0.0267410i 0.423120 0.906074i \(-0.360935\pi\)
−0.360357 + 0.932815i \(0.617345\pi\)
\(174\) 5.90355 23.9516i 0.447547 1.81577i
\(175\) 1.46173 + 0.0589059i 0.110497 + 0.00445286i
\(176\) −34.8014 + 16.5134i −2.62325 + 1.24475i
\(177\) 15.7265 + 10.8553i 1.18208 + 0.815931i
\(178\) 15.9437 5.32280i 1.19503 0.398960i
\(179\) −5.32094 + 11.2136i −0.397706 + 0.838147i 0.601522 + 0.798856i \(0.294561\pi\)
−0.999228 + 0.0392906i \(0.987490\pi\)
\(180\) −14.3140 + 42.8757i −1.06690 + 3.19576i
\(181\) −21.5342 5.30772i −1.60063 0.394519i −0.664813 0.747010i \(-0.731489\pi\)
−0.935815 + 0.352491i \(0.885335\pi\)
\(182\) 19.4328 7.86600i 1.44046 0.583067i
\(183\) −0.181052 + 0.0446253i −0.0133838 + 0.00329880i
\(184\) −4.64383 + 57.5241i −0.342347 + 4.24073i
\(185\) −16.8913 17.5857i −1.24187 1.29293i
\(186\) −24.9399 52.5597i −1.82868 3.85387i
\(187\) 0.0737233 0.00895163i 0.00539118 0.000654608i
\(188\) −29.3042 16.9188i −2.13723 1.23393i
\(189\) −4.50487 + 5.99490i −0.327681 + 0.436065i
\(190\) −27.9003 + 19.2582i −2.02410 + 1.39714i
\(191\) −5.30927 + 9.19592i −0.384165 + 0.665394i −0.991653 0.128935i \(-0.958844\pi\)
0.607488 + 0.794329i \(0.292177\pi\)
\(192\) −21.1336 36.6044i −1.52519 2.64170i
\(193\) −20.1843 9.57758i −1.45290 0.689409i −0.471585 0.881821i \(-0.656318\pi\)
−0.981314 + 0.192412i \(0.938369\pi\)
\(194\) 3.55693 + 1.86682i 0.255373 + 0.134030i
\(195\) 1.26189 + 20.1948i 0.0903661 + 1.44618i
\(196\) −10.0261 + 5.26210i −0.716149 + 0.375864i
\(197\) 17.2123 0.693631i 1.22632 0.0494191i 0.581369 0.813640i \(-0.302517\pi\)
0.644954 + 0.764221i \(0.276876\pi\)
\(198\) 7.50410 36.7575i 0.533293 2.61224i
\(199\) −6.73873 + 23.2648i −0.477696 + 1.64920i 0.253728 + 0.967276i \(0.418343\pi\)
−0.731424 + 0.681922i \(0.761144\pi\)
\(200\) −2.55411 4.86645i −0.180603 0.344110i
\(201\) 0.443714 + 0.701677i 0.0312971 + 0.0494925i
\(202\) −3.02296 + 18.6010i −0.212695 + 1.30876i
\(203\) −1.79685 7.29012i −0.126114 0.511666i
\(204\) 0.0617351 + 0.302399i 0.00432232 + 0.0211721i
\(205\) 1.78005 + 0.143701i 0.124324 + 0.0100365i
\(206\) 16.0714 25.4148i 1.11974 1.77074i
\(207\) −22.4888 19.9233i −1.56308 1.38477i
\(208\) −33.1930 25.8986i −2.30152 1.79574i
\(209\) 15.1144 13.3902i 1.04549 0.926222i
\(210\) 5.23432 + 32.2080i 0.361202 + 2.22257i
\(211\) −3.23017 + 1.37625i −0.222374 + 0.0947447i −0.500280 0.865863i \(-0.666770\pi\)
0.277906 + 0.960608i \(0.410359\pi\)
\(212\) 28.0085 17.7115i 1.92363 1.21643i
\(213\) 1.63093 1.84094i 0.111749 0.126139i
\(214\) −0.787857 9.75936i −0.0538568 0.667136i
\(215\) 1.59702 + 4.78366i 0.108916 + 0.326243i
\(216\) 27.9667 + 3.39577i 1.90289 + 0.231053i
\(217\) −14.1558 10.6374i −0.960961 0.722116i
\(218\) −20.0878 + 24.6031i −1.36052 + 1.66633i
\(219\) −0.605085 0.494036i −0.0408878 0.0333839i
\(220\) −19.8249 28.7213i −1.33659 1.93639i
\(221\) 0.0448889 + 0.0676258i 0.00301955 + 0.00454901i
\(222\) −47.7771 + 69.2171i −3.20659 + 4.64555i
\(223\) −10.0554 + 2.91258i −0.673359 + 0.195041i −0.597246 0.802058i \(-0.703738\pi\)
−0.0761134 + 0.997099i \(0.524251\pi\)
\(224\) −27.0748 17.1210i −1.80901 1.14395i
\(225\) 2.82418 + 0.458973i 0.188278 + 0.0305982i
\(226\) 5.38619 + 2.04271i 0.358284 + 0.135879i
\(227\) −4.25654 + 9.99047i −0.282516 + 0.663090i −0.999419 0.0340829i \(-0.989149\pi\)
0.716903 + 0.697173i \(0.245559\pi\)
\(228\) 60.5222 + 58.1324i 4.00818 + 3.84991i
\(229\) 5.43559 10.3566i 0.359194 0.684386i −0.637065 0.770810i \(-0.719852\pi\)
0.996258 + 0.0864238i \(0.0275439\pi\)
\(230\) −38.8184 + 3.13374i −2.55961 + 0.206633i
\(231\) −5.40737 18.6684i −0.355779 1.22829i
\(232\) −20.3434 + 19.5401i −1.33561 + 1.28287i
\(233\) −6.16358 16.2520i −0.403789 1.06471i −0.970566 0.240834i \(-0.922579\pi\)
0.566777 0.823871i \(-0.308190\pi\)
\(234\) 39.5847 10.6911i 2.58773 0.698902i
\(235\) 4.91161 12.9509i 0.320398 0.844821i
\(236\) −14.1196 33.1399i −0.919106 2.15722i
\(237\) −0.679480 16.8611i −0.0441370 1.09525i
\(238\) 0.0827844 + 0.101393i 0.00536612 + 0.00657230i
\(239\) 10.9563i 0.708702i 0.935112 + 0.354351i \(0.115298\pi\)
−0.935112 + 0.354351i \(0.884702\pi\)
\(240\) 50.7594 41.4437i 3.27650 2.67518i
\(241\) 6.46255 + 1.87190i 0.416289 + 0.120580i 0.479751 0.877405i \(-0.340727\pi\)
−0.0634618 + 0.997984i \(0.520214\pi\)
\(242\) −0.206949 0.233597i −0.0133032 0.0150162i
\(243\) 13.7869 14.3537i 0.884428 0.920787i
\(244\) 0.333422 + 0.111313i 0.0213452 + 0.00712607i
\(245\) −2.78441 3.70538i −0.177889 0.236728i
\(246\) −0.742475 6.11483i −0.0473385 0.389867i
\(247\) 20.4901 + 8.19923i 1.30376 + 0.521704i
\(248\) −8.01848 + 66.0381i −0.509174 + 4.19343i
\(249\) −8.59671 + 4.96331i −0.544794 + 0.314537i
\(250\) 25.1036 18.8641i 1.58769 1.19307i
\(251\) −0.665151 + 16.5055i −0.0419839 + 1.04182i 0.831669 + 0.555271i \(0.187386\pi\)
−0.873653 + 0.486549i \(0.838255\pi\)
\(252\) 44.3706 16.8275i 2.79508 1.06004i
\(253\) 22.7278 4.63991i 1.42888 0.291709i
\(254\) 8.92650 1.82236i 0.560098 0.114345i
\(255\) −0.118126 + 0.0447994i −0.00739735 + 0.00280544i
\(256\) −0.0653949 + 1.62276i −0.00408718 + 0.101422i
\(257\) −14.9847 + 11.2603i −0.934720 + 0.702397i −0.954752 0.297403i \(-0.903880\pi\)
0.0200320 + 0.999799i \(0.493623\pi\)
\(258\) 15.0645 8.69752i 0.937878 0.541484i
\(259\) −3.08561 + 25.4123i −0.191730 + 1.57904i
\(260\) 18.3360 33.4468i 1.13715 2.07428i
\(261\) −1.77008 14.5779i −0.109565 0.902350i
\(262\) 9.93379 + 13.2195i 0.613712 + 0.816702i
\(263\) −8.75590 2.92315i −0.539912 0.180249i 0.0336163 0.999435i \(-0.489298\pi\)
−0.573528 + 0.819186i \(0.694426\pi\)
\(264\) −50.5809 + 52.6603i −3.11304 + 3.24101i
\(265\) 8.99519 + 10.1535i 0.552570 + 0.623723i
\(266\) 34.1855 + 9.90196i 2.09605 + 0.607128i
\(267\) 13.1928 10.7716i 0.807385 0.659209i
\(268\) 1.56500i 0.0955974i
\(269\) −2.15616 2.64081i −0.131463 0.161013i 0.704678 0.709527i \(-0.251091\pi\)
−0.836142 + 0.548514i \(0.815194\pi\)
\(270\) 0.765498 + 18.9956i 0.0465867 + 1.15604i
\(271\) −4.77209 11.2005i −0.289884 0.680382i 0.709829 0.704375i \(-0.248772\pi\)
−0.999712 + 0.0239927i \(0.992362\pi\)
\(272\) 0.0932140 0.245785i 0.00565193 0.0149029i
\(273\) 15.5846 14.4347i 0.943223 0.873627i
\(274\) −17.1063 45.1057i −1.03343 2.72493i
\(275\) −1.59318 + 1.53027i −0.0960726 + 0.0922790i
\(276\) 26.8208 + 92.5962i 1.61442 + 5.57364i
\(277\) −10.0945 + 0.814913i −0.606521 + 0.0489634i −0.379912 0.925023i \(-0.624046\pi\)
−0.226608 + 0.973986i \(0.572764\pi\)
\(278\) −11.6963 + 22.2855i −0.701500 + 1.33660i
\(279\) −24.9768 23.9906i −1.49532 1.43628i
\(280\) 14.6251 34.3263i 0.874015 2.05139i
\(281\) 10.7218 + 4.06626i 0.639612 + 0.242573i 0.653024 0.757337i \(-0.273500\pi\)
−0.0134121 + 0.999910i \(0.504269\pi\)
\(282\) −47.1562 7.66362i −2.80811 0.456362i
\(283\) 1.96807 + 1.24453i 0.116990 + 0.0739798i 0.591679 0.806174i \(-0.298465\pi\)
−0.474689 + 0.880153i \(0.657440\pi\)
\(284\) −4.45325 + 1.28990i −0.264252 + 0.0765415i
\(285\) −19.5135 + 28.2702i −1.15588 + 1.67458i
\(286\) −11.7611 + 29.3913i −0.695448 + 1.73795i
\(287\) −1.06502 1.54295i −0.0628664 0.0910777i
\(288\) −48.5314 39.6247i −2.85974 2.33491i
\(289\) 10.7513 13.1679i 0.632427 0.774582i
\(290\) −15.2174 11.4351i −0.893596 0.671494i
\(291\) 4.04065 + 0.490623i 0.236867 + 0.0287609i
\(292\) 0.466306 + 1.39676i 0.0272885 + 0.0817390i
\(293\) 1.53730 + 19.0429i 0.0898099 + 1.11250i 0.872017 + 0.489476i \(0.162812\pi\)
−0.782207 + 0.623019i \(0.785906\pi\)
\(294\) −10.6013 + 11.9664i −0.618279 + 0.697893i
\(295\) 12.4626 7.88085i 0.725599 0.458841i
\(296\) 88.4757 37.6960i 5.14255 2.19103i
\(297\) −1.81642 11.1769i −0.105400 0.648550i
\(298\) 30.9875 27.4525i 1.79506 1.59028i
\(299\) 15.6753 + 19.9262i 0.906523 + 1.15236i
\(300\) −6.87179 6.08788i −0.396743 0.351484i
\(301\) 2.82973 4.47486i 0.163103 0.257927i
\(302\) −29.8010 2.40578i −1.71485 0.138437i
\(303\) 3.81947 + 18.7090i 0.219423 + 1.07481i
\(304\) −17.1048 69.3970i −0.981030 3.98019i
\(305\) −0.0230811 + 0.142024i −0.00132162 + 0.00813225i
\(306\) 0.136829 + 0.216378i 0.00782199 + 0.0123695i
\(307\) 3.78613 + 7.21386i 0.216086 + 0.411717i 0.969237 0.246131i \(-0.0791593\pi\)
−0.753151 + 0.657848i \(0.771467\pi\)
\(308\) −10.1933 + 35.1915i −0.580819 + 2.00522i
\(309\) 6.09451 29.8529i 0.346705 1.69827i
\(310\) −44.8547 + 1.80758i −2.54757 + 0.102664i
\(311\) −16.8093 + 8.82221i −0.953169 + 0.500261i −0.868250 0.496126i \(-0.834755\pi\)
−0.0849183 + 0.996388i \(0.527063\pi\)
\(312\) −76.2383 23.5905i −4.31614 1.33555i
\(313\) 5.65915 + 2.97015i 0.319874 + 0.167883i 0.617016 0.786950i \(-0.288341\pi\)
−0.297142 + 0.954833i \(0.596034\pi\)
\(314\) 5.66881 + 2.68988i 0.319910 + 0.151799i
\(315\) 9.71240 + 16.8224i 0.547232 + 0.947833i
\(316\) −15.9052 + 27.5486i −0.894738 + 1.54973i
\(317\) 23.0029 15.8777i 1.29197 0.891783i 0.294022 0.955799i \(-0.405006\pi\)
0.997949 + 0.0640160i \(0.0203909\pi\)
\(318\) 28.1076 37.4045i 1.57620 2.09754i
\(319\) 9.81884 + 5.66891i 0.549749 + 0.317398i
\(320\) −32.3770 + 3.93128i −1.80993 + 0.219765i
\(321\) −4.25303 8.96306i −0.237381 0.500269i
\(322\) 28.3222 + 29.4865i 1.57834 + 1.64322i
\(323\) −0.0110880 + 0.137350i −0.000616955 + 0.00764235i
\(324\) −17.5798 + 4.33302i −0.976654 + 0.240724i
\(325\) −2.27590 0.806001i −0.126244 0.0447089i
\(326\) 46.0100 + 11.3405i 2.54826 + 0.628090i
\(327\) −10.1914 + 30.5270i −0.563587 + 1.68815i
\(328\) −3.01948 + 6.36342i −0.166723 + 0.351361i
\(329\) −13.7928 + 4.60471i −0.760422 + 0.253866i
\(330\) −40.5513 27.9905i −2.23227 1.54083i
\(331\) 3.13191 1.48611i 0.172145 0.0816839i −0.340670 0.940183i \(-0.610654\pi\)
0.512815 + 0.858499i \(0.328603\pi\)
\(332\) 18.6973 + 0.753477i 1.02615 + 0.0413524i
\(333\) −11.9819 + 48.6124i −0.656603 + 2.66394i
\(334\) −51.1512 21.7935i −2.79887 1.19249i
\(335\) 0.632315 0.102761i 0.0345470 0.00561444i
\(336\) −67.4044 13.7607i −3.67721 0.750708i
\(337\) 22.7838 1.24111 0.620556 0.784162i \(-0.286907\pi\)
0.620556 + 0.784162i \(0.286907\pi\)
\(338\) −34.4763 + 2.92136i −1.87526 + 0.158901i
\(339\) 5.83691 0.317017
\(340\) 0.233341 + 0.0476369i 0.0126547 + 0.00258347i
\(341\) 26.3922 4.28915i 1.42922 0.232271i
\(342\) 64.0394 + 27.2846i 3.46285 + 1.47538i
\(343\) −4.82423 + 19.5727i −0.260484 + 1.05682i
\(344\) −19.8745 0.800916i −1.07156 0.0431825i
\(345\) −35.6511 + 16.9166i −1.91939 + 0.910761i
\(346\) −1.96551 1.35669i −0.105666 0.0729361i
\(347\) 5.69453 1.90111i 0.305698 0.102057i −0.159680 0.987169i \(-0.551046\pi\)
0.465379 + 0.885112i \(0.345918\pi\)
\(348\) −20.1994 + 42.5694i −1.08280 + 2.28196i
\(349\) −0.0385253 + 0.115397i −0.00206221 + 0.00617709i −0.949563 0.313578i \(-0.898472\pi\)
0.947500 + 0.319755i \(0.103601\pi\)
\(350\) −3.78046 0.931799i −0.202074 0.0498068i
\(351\) 10.0273 7.25409i 0.535218 0.387195i
\(352\) 46.9669 11.5763i 2.50334 0.617019i
\(353\) 0.976161 12.0919i 0.0519558 0.643588i −0.917406 0.397952i \(-0.869721\pi\)
0.969362 0.245636i \(-0.0789969\pi\)
\(354\) −35.2317 36.6801i −1.87254 1.94952i
\(355\) −0.813576 1.71458i −0.0431801 0.0910002i
\(356\) −31.8719 + 3.86995i −1.68921 + 0.205107i
\(357\) 0.114862 + 0.0663157i 0.00607915 + 0.00350980i
\(358\) 19.8455 26.4095i 1.04886 1.39579i
\(359\) −5.87505 + 4.05525i −0.310073 + 0.214028i −0.712930 0.701235i \(-0.752632\pi\)
0.402857 + 0.915263i \(0.368017\pi\)
\(360\) 36.4881 63.1992i 1.92309 3.33089i
\(361\) 9.23355 + 15.9930i 0.485977 + 0.841736i
\(362\) 53.3300 + 25.3054i 2.80296 + 1.33002i
\(363\) −0.279999 0.146955i −0.0146961 0.00771313i
\(364\) −39.3734 + 7.29644i −2.06372 + 0.382438i
\(365\) −0.533721 + 0.280118i −0.0279362 + 0.0146621i
\(366\) 0.495894 0.0199838i 0.0259208 0.00104457i
\(367\) 4.97571 24.3726i 0.259730 1.27224i −0.615346 0.788257i \(-0.710984\pi\)
0.875076 0.483985i \(-0.160811\pi\)
\(368\) 22.8435 78.8648i 1.19080 4.11111i
\(369\) −1.70407 3.24684i −0.0887105 0.169024i
\(370\) 34.6859 + 54.8514i 1.80324 + 2.85159i
\(371\) 2.28439 14.0564i 0.118600 0.729773i
\(372\) 26.5932 + 107.893i 1.37879 + 5.59399i
\(373\) 2.69221 + 13.1873i 0.139397 + 0.682813i 0.988084 + 0.153917i \(0.0491888\pi\)
−0.848687 + 0.528896i \(0.822606\pi\)
\(374\) −0.197017 0.0159048i −0.0101875 0.000822420i
\(375\) 17.0055 26.8920i 0.878158 1.38870i
\(376\) 40.8904 + 36.2257i 2.10876 + 1.86820i
\(377\) −0.723580 + 12.3706i −0.0372662 + 0.637118i
\(378\) 14.9391 13.2349i 0.768382 0.680727i
\(379\) 1.81579 + 11.1730i 0.0932707 + 0.573918i 0.991052 + 0.133476i \(0.0426140\pi\)
−0.897781 + 0.440442i \(0.854822\pi\)
\(380\) 59.5727 25.3815i 3.05601 1.30205i
\(381\) 7.80230 4.93388i 0.399724 0.252770i
\(382\) 18.7408 21.1540i 0.958865 1.08234i
\(383\) −2.41023 29.8561i −0.123157 1.52557i −0.703202 0.710990i \(-0.748247\pi\)
0.580045 0.814584i \(-0.303035\pi\)
\(384\) 10.5790 + 31.6880i 0.539857 + 1.61707i
\(385\) −14.8879 1.80772i −0.758759 0.0921300i
\(386\) 47.5366 + 35.7214i 2.41955 + 1.81817i
\(387\) 6.54907 8.02116i 0.332908 0.407739i
\(388\) −5.94347 4.85269i −0.301734 0.246358i
\(389\) −10.9503 15.8643i −0.555203 0.804351i 0.440422 0.897791i \(-0.354829\pi\)
−0.995625 + 0.0934404i \(0.970214\pi\)
\(390\) 7.46046 53.3344i 0.377775 2.70069i
\(391\) −0.0899222 + 0.130275i −0.00454756 + 0.00658828i
\(392\) 17.5588 5.08596i 0.886852 0.256880i
\(393\) 14.1612 + 8.95503i 0.714340 + 0.451722i
\(394\) −45.2544 7.35455i −2.27988 0.370517i
\(395\) −12.1750 4.61737i −0.612591 0.232325i
\(396\) −28.0875 + 65.9238i −1.41145 + 3.31279i
\(397\) −21.8303 20.9683i −1.09563 1.05237i −0.998368 0.0571096i \(-0.981812\pi\)
−0.0972635 0.995259i \(-0.531009\pi\)
\(398\) 29.9584 57.0810i 1.50168 2.86121i
\(399\) 35.9457 2.90183i 1.79953 0.145273i
\(400\) 2.17544 + 7.51048i 0.108772 + 0.375524i
\(401\) −11.7569 + 11.2927i −0.587114 + 0.563930i −0.926299 0.376789i \(-0.877028\pi\)
0.339185 + 0.940720i \(0.389849\pi\)
\(402\) −0.783535 2.06601i −0.0390792 0.103043i
\(403\) 17.1292 + 23.6776i 0.853266 + 1.17947i
\(404\) 12.7642 33.6564i 0.635042 1.67447i
\(405\) −2.90502 6.81834i −0.144352 0.338806i
\(406\) 0.804655 + 19.9673i 0.0399344 + 0.990961i
\(407\) −24.4474 29.9426i −1.21181 1.48420i
\(408\) 0.498277i 0.0246684i
\(409\) 5.96273 4.86842i 0.294838 0.240728i −0.473467 0.880812i \(-0.656998\pi\)
0.768305 + 0.640084i \(0.221100\pi\)
\(410\) −4.56540 1.32239i −0.225469 0.0653079i
\(411\) −32.4135 36.5873i −1.59884 1.80472i
\(412\) −39.7873 + 41.4229i −1.96018 + 2.04076i
\(413\) −14.6834 4.90203i −0.722522 0.241213i
\(414\) 48.0382 + 63.9273i 2.36095 + 3.14185i
\(415\) 0.923277 + 7.60387i 0.0453219 + 0.373259i
\(416\) 34.3347 + 40.2027i 1.68340 + 1.97110i
\(417\) −3.07394 + 25.3162i −0.150531 + 1.23974i
\(418\) −46.5431 + 26.8717i −2.27650 + 1.31434i
\(419\) −23.2953 + 17.5052i −1.13805 + 0.855187i −0.990989 0.133941i \(-0.957237\pi\)
−0.147058 + 0.989128i \(0.546980\pi\)
\(420\) 2.50965 62.2764i 0.122459 3.03878i
\(421\) 5.41431 2.05338i 0.263877 0.100075i −0.219118 0.975698i \(-0.570318\pi\)
0.482995 + 0.875623i \(0.339549\pi\)
\(422\) 9.15611 1.86923i 0.445712 0.0909928i
\(423\) −27.8653 + 5.68874i −1.35486 + 0.276596i
\(424\) −50.0241 + 18.9716i −2.42938 + 0.921344i
\(425\) 0.000607004 0.0150626i 2.94440e−5 0.000730645i
\(426\) −5.23310 + 3.93242i −0.253545 + 0.190526i
\(427\) 0.130819 0.0755284i 0.00633078 0.00365508i
\(428\) −2.25425 + 18.5654i −0.108963 + 0.897393i
\(429\) −0.582116 + 32.0716i −0.0281048 + 1.54843i
\(430\) −1.61792 13.3247i −0.0780228 0.642576i
\(431\) −12.0453 16.0294i −0.580203 0.772110i 0.409949 0.912109i \(-0.365547\pi\)
−0.990152 + 0.139999i \(0.955290\pi\)
\(432\) −38.0181 12.6923i −1.82915 0.610658i
\(433\) 2.03243 2.11599i 0.0976725 0.101688i −0.670572 0.741845i \(-0.733951\pi\)
0.768244 + 0.640157i \(0.221131\pi\)
\(434\) 31.2516 + 35.2758i 1.50013 + 1.69329i
\(435\) −18.5259 5.36609i −0.888248 0.257284i
\(436\) 46.9939 38.3693i 2.25060 1.83756i
\(437\) 43.0408i 2.05892i
\(438\) 1.31489 + 1.61045i 0.0628279 + 0.0769502i
\(439\) 0.752382 + 18.6702i 0.0359092 + 0.891078i 0.912311 + 0.409498i \(0.134296\pi\)
−0.876402 + 0.481581i \(0.840063\pi\)
\(440\) 22.0844 + 51.8340i 1.05283 + 2.47109i
\(441\) −3.37474 + 8.89847i −0.160702 + 0.423737i
\(442\) −0.0810563 0.200248i −0.00385546 0.00952483i
\(443\) −2.98321 7.86608i −0.141737 0.373729i 0.845285 0.534316i \(-0.179431\pi\)
−0.987022 + 0.160587i \(0.948661\pi\)
\(444\) 115.859 111.284i 5.49843 5.28131i
\(445\) −3.65638 12.6233i −0.173329 0.598401i
\(446\) 27.7724 2.24202i 1.31506 0.106163i
\(447\) 19.4941 37.1429i 0.922040 1.75680i
\(448\) 24.6939 + 23.7189i 1.16668 + 1.12061i
\(449\) 2.21889 5.20793i 0.104716 0.245777i −0.859377 0.511343i \(-0.829148\pi\)
0.964093 + 0.265565i \(0.0855586\pi\)
\(450\) −7.12037 2.70040i −0.335657 0.127298i
\(451\) 2.79440 + 0.454135i 0.131583 + 0.0213844i
\(452\) −9.29968 5.88076i −0.437420 0.276608i
\(453\) −29.0983 + 8.42841i −1.36716 + 0.396001i
\(454\) 16.4186 23.7864i 0.770563 1.11635i
\(455\) −5.53337 15.4291i −0.259408 0.723329i
\(456\) −76.9626 111.500i −3.60410 5.22144i
\(457\) −16.6111 13.5626i −0.777037 0.634431i 0.158621 0.987340i \(-0.449295\pi\)
−0.935658 + 0.352909i \(0.885193\pi\)
\(458\) −19.6882 + 24.1137i −0.919969 + 1.12676i
\(459\) 0.0617753 + 0.0464211i 0.00288342 + 0.00216675i
\(460\) 73.8449 + 8.96640i 3.44304 + 0.418060i
\(461\) 1.75546 + 5.25826i 0.0817601 + 0.244901i 0.981479 0.191567i \(-0.0613571\pi\)
−0.899719 + 0.436469i \(0.856229\pi\)
\(462\) 4.16244 + 51.5610i 0.193654 + 2.39884i
\(463\) 22.5415 25.4441i 1.04759 1.18249i 0.0647783 0.997900i \(-0.479366\pi\)
0.982816 0.184590i \(-0.0590956\pi\)
\(464\) 33.9185 21.4488i 1.57463 0.995735i
\(465\) −41.8464 + 17.8291i −1.94058 + 0.826805i
\(466\) 7.42085 + 45.6623i 0.343764 + 2.11527i
\(467\) 8.45586 7.49124i 0.391290 0.346653i −0.444425 0.895816i \(-0.646592\pi\)
0.835715 + 0.549163i \(0.185053\pi\)
\(468\) −78.1664 + 4.88433i −3.61324 + 0.225778i
\(469\) −0.503397 0.445971i −0.0232447 0.0205930i
\(470\) −19.7029 + 31.1576i −0.908827 + 1.43720i
\(471\) 6.33720 + 0.511592i 0.292003 + 0.0235729i
\(472\) 11.6328 + 56.9810i 0.535441 + 2.62276i
\(473\) 1.91330 + 7.76258i 0.0879738 + 0.356924i
\(474\) −7.20451 + 44.3311i −0.330914 + 2.03620i
\(475\) −2.19071 3.46433i −0.100517 0.158954i
\(476\) −0.116191 0.221383i −0.00532559 0.0101471i
\(477\) 7.74911 26.7530i 0.354807 1.22494i
\(478\) 5.83283 28.5711i 0.266787 1.30681i
\(479\) 5.54310 0.223379i 0.253271 0.0102065i 0.0866940 0.996235i \(-0.472370\pi\)
0.166577 + 0.986029i \(0.446729\pi\)
\(480\) −72.8634 + 38.2417i −3.32574 + 1.74549i
\(481\) 17.2627 38.5609i 0.787110 1.75823i
\(482\) −15.8561 8.32192i −0.722225 0.379053i
\(483\) 37.4275 + 17.7596i 1.70301 + 0.808089i
\(484\) 0.298051 + 0.516239i 0.0135478 + 0.0234654i
\(485\) 1.57040 2.72001i 0.0713082 0.123509i
\(486\) −43.5941 + 30.0908i −1.97747 + 1.36495i
\(487\) 5.61699 7.47486i 0.254530 0.338718i −0.654033 0.756466i \(-0.726924\pi\)
0.908563 + 0.417748i \(0.137181\pi\)
\(488\) −0.491468 0.283749i −0.0222477 0.0128447i
\(489\) 47.6652 5.78760i 2.15550 0.261725i
\(490\) 5.28837 + 11.1450i 0.238904 + 0.503480i
\(491\) 4.07035 + 4.23769i 0.183693 + 0.191244i 0.806681 0.590986i \(-0.201261\pi\)
−0.622989 + 0.782231i \(0.714082\pi\)
\(492\) −0.946736 + 11.7274i −0.0426822 + 0.528713i
\(493\) −0.0751220 + 0.0185159i −0.00338333 + 0.000833915i
\(494\) −49.0678 32.2898i −2.20767 1.45279i
\(495\) −28.4799 7.01965i −1.28007 0.315510i
\(496\) 29.9705 89.7726i 1.34572 4.03091i
\(497\) −0.854117 + 1.80001i −0.0383124 + 0.0807416i
\(498\) 25.0603 8.36636i 1.12298 0.374906i
\(499\) −14.2685 9.84880i −0.638744 0.440893i 0.204175 0.978934i \(-0.434549\pi\)
−0.842918 + 0.538042i \(0.819164\pi\)
\(500\) −54.1880 + 25.7125i −2.42336 + 1.14990i
\(501\) −56.2919 2.26849i −2.51494 0.101349i
\(502\) 10.5217 42.6880i 0.469604 1.90526i
\(503\) −36.3856 15.5025i −1.62235 0.691221i −0.626269 0.779607i \(-0.715419\pi\)
−0.996086 + 0.0883864i \(0.971829\pi\)
\(504\) −75.6204 + 12.2895i −3.36840 + 0.547419i
\(505\) 14.4365 + 2.94723i 0.642416 + 0.131150i
\(506\) −61.7383 −2.74460
\(507\) −31.6136 + 15.1553i −1.40401 + 0.673070i
\(508\) −17.4020 −0.772088
\(509\) 6.95407 + 1.41968i 0.308234 + 0.0629264i 0.351653 0.936131i \(-0.385620\pi\)
−0.0434188 + 0.999057i \(0.513825\pi\)
\(510\) 0.331892 0.0539377i 0.0146964 0.00238840i
\(511\) 0.582162 + 0.248036i 0.0257534 + 0.0109725i
\(512\) −4.89468 + 19.8585i −0.216316 + 0.877629i
\(513\) 20.9936 + 0.846012i 0.926888 + 0.0373523i
\(514\) 45.0709 21.3864i 1.98799 0.943313i
\(515\) −19.3489 13.3556i −0.852613 0.588516i
\(516\) −31.5159 + 10.5216i −1.38741 + 0.463186i
\(517\) 9.41310 19.8377i 0.413988 0.872460i
\(518\) 21.5753 64.6258i 0.947963 2.83950i
\(519\) −2.34961 0.579128i −0.103137 0.0254209i
\(520\) −39.8052 + 46.9855i −1.74557 + 2.06045i
\(521\) −11.4762 + 2.82862i −0.502780 + 0.123924i −0.482545 0.875871i \(-0.660288\pi\)
−0.0202350 + 0.999795i \(0.506441\pi\)
\(522\) −3.14499 + 38.9577i −0.137653 + 1.70513i
\(523\) 25.4431 + 26.4891i 1.11255 + 1.15829i 0.986072 + 0.166317i \(0.0531875\pi\)
0.126477 + 0.991970i \(0.459633\pi\)
\(524\) −13.5402 28.5353i −0.591504 1.24657i
\(525\) −3.91646 + 0.475544i −0.170928 + 0.0207544i
\(526\) 21.2769 + 12.2842i 0.927717 + 0.535617i
\(527\) −0.109615 + 0.145871i −0.00477490 + 0.00635423i
\(528\) 85.4937 59.0120i 3.72064 2.56817i
\(529\) −13.2218 + 22.9008i −0.574860 + 0.995687i
\(530\) −18.0517 31.2664i −0.784114 1.35813i
\(531\) −27.3532 12.9793i −1.18703 0.563252i
\(532\) −60.1942 31.5924i −2.60975 1.36970i
\(533\) 0.926419 + 2.95229i 0.0401277 + 0.127878i
\(534\) −40.1378 + 21.0659i −1.73693 + 0.911613i
\(535\) −7.64911 + 0.308249i −0.330700 + 0.0133267i
\(536\) −0.505386 + 2.47554i −0.0218293 + 0.106927i
\(537\) 9.31274 32.1513i 0.401874 1.38743i
\(538\) 4.21679 + 8.03443i 0.181799 + 0.346389i
\(539\) −3.92710 6.21021i −0.169152 0.267493i
\(540\) 5.82495 35.8423i 0.250666 1.54241i
\(541\) −5.27171 21.3882i −0.226649 0.919550i −0.968506 0.248992i \(-0.919901\pi\)
0.741857 0.670558i \(-0.233945\pi\)
\(542\) 6.48150 + 31.7485i 0.278404 + 1.36371i
\(543\) 59.6179 + 4.81286i 2.55845 + 0.206539i
\(544\) −0.176426 + 0.278996i −0.00756421 + 0.0119618i
\(545\) 18.5883 + 16.4678i 0.796235 + 0.705403i
\(546\) −48.3252 + 29.3451i −2.06813 + 1.25585i
\(547\) −26.8273 + 23.7669i −1.14705 + 1.01620i −0.147421 + 0.989074i \(0.547097\pi\)
−0.999632 + 0.0271266i \(0.991364\pi\)
\(548\) 14.7808 + 90.9499i 0.631405 + 3.88519i
\(549\) 0.271801 0.115803i 0.0116002 0.00494237i
\(550\) 4.96928 3.14238i 0.211891 0.133992i
\(551\) −13.9502 + 15.7465i −0.594297 + 0.670822i
\(552\) −12.5235 155.132i −0.533037 6.60285i
\(553\) 4.32885 + 12.9665i 0.184082 + 0.551392i
\(554\) 26.7577 + 3.24897i 1.13683 + 0.138036i
\(555\) 52.5704 + 39.5041i 2.23149 + 1.67685i
\(556\) 30.4039 37.2380i 1.28941 1.57924i
\(557\) −28.3834 23.1743i −1.20264 0.981928i −0.999996 0.00267595i \(-0.999148\pi\)
−0.202647 0.979252i \(-0.564954\pi\)
\(558\) 52.3611 + 75.8582i 2.21662 + 3.21133i
\(559\) −6.64461 + 5.67476i −0.281037 + 0.240017i
\(560\) −30.1553 + 43.6875i −1.27429 + 1.84613i
\(561\) −0.192371 + 0.0557209i −0.00812191 + 0.00235254i
\(562\) −25.7950 16.3118i −1.08810 0.688071i
\(563\) 19.5356 + 3.17484i 0.823326 + 0.133804i 0.557457 0.830206i \(-0.311777\pi\)
0.265869 + 0.964009i \(0.414341\pi\)
\(564\) 85.3236 + 32.3590i 3.59277 + 1.36256i
\(565\) 1.76540 4.14355i 0.0742710 0.174320i
\(566\) −4.46966 4.29316i −0.187874 0.180455i
\(567\) −3.61588 + 6.88948i −0.151853 + 0.289331i
\(568\) 7.46080 0.602298i 0.313048 0.0252719i
\(569\) −6.33781 21.8806i −0.265695 0.917285i −0.976792 0.214191i \(-0.931289\pi\)
0.711097 0.703094i \(-0.248199\pi\)
\(570\) 65.9365 63.3329i 2.76178 2.65272i
\(571\) 12.9972 + 34.2709i 0.543917 + 1.43419i 0.871983 + 0.489536i \(0.162834\pi\)
−0.328067 + 0.944655i \(0.606397\pi\)
\(572\) 33.2400 50.5117i 1.38983 2.11200i
\(573\) 10.1545 26.7753i 0.424212 1.11856i
\(574\) 1.95588 + 4.59061i 0.0816367 + 0.191608i
\(575\) −0.189597 4.70481i −0.00790676 0.196204i
\(576\) 42.3534 + 51.8735i 1.76473 + 2.16140i
\(577\) 39.3236i 1.63706i 0.574462 + 0.818532i \(0.305211\pi\)
−0.574462 + 0.818532i \(0.694789\pi\)
\(578\) −35.0467 + 28.6147i −1.45775 + 1.19022i
\(579\) 57.8717 + 16.7627i 2.40507 + 0.696636i
\(580\) 24.1100 + 27.2146i 1.00111 + 1.13002i
\(581\) 5.57048 5.79948i 0.231102 0.240603i
\(582\) −10.2758 3.43055i −0.425944 0.142201i
\(583\) 12.9185 + 17.1914i 0.535029 + 0.711994i
\(584\) −0.286556 2.36000i −0.0118578 0.0976576i
\(585\) −7.10602 31.2613i −0.293798 1.29250i
\(586\) 6.12904 50.4772i 0.253188 2.08519i
\(587\) 29.3934 16.9703i 1.21319 0.700438i 0.249741 0.968313i \(-0.419655\pi\)
0.963454 + 0.267874i \(0.0863212\pi\)
\(588\) 24.4120 18.3444i 1.00673 0.756511i
\(589\) −1.99770 + 49.5724i −0.0823138 + 2.04260i
\(590\) −36.6947 + 13.9165i −1.51070 + 0.572931i
\(591\) −45.5171 + 9.29239i −1.87232 + 0.382238i
\(592\) −134.059 + 27.3684i −5.50980 + 1.12483i
\(593\) −30.5342 + 11.5801i −1.25389 + 0.475537i −0.890024 0.455914i \(-0.849312\pi\)
−0.363865 + 0.931452i \(0.618543\pi\)
\(594\) −1.21353 + 30.1135i −0.0497918 + 1.23557i
\(595\) 0.0818172 0.0614816i 0.00335418 0.00252050i
\(596\) −68.4810 + 39.5375i −2.80509 + 1.61952i
\(597\) 7.87343 64.8435i 0.322238 2.65387i
\(598\) −30.2688 60.3074i −1.23778 2.46615i
\(599\) 2.43764 + 20.0758i 0.0995993 + 0.820274i 0.953823 + 0.300369i \(0.0971097\pi\)
−0.854224 + 0.519905i \(0.825967\pi\)
\(600\) 8.90398 + 11.8490i 0.363504 + 0.483735i
\(601\) 5.01283 + 1.67353i 0.204478 + 0.0682647i 0.417062 0.908878i \(-0.363060\pi\)
−0.212584 + 0.977143i \(0.568188\pi\)
\(602\) −9.76149 + 10.1628i −0.397849 + 0.414204i
\(603\) −0.872246 0.984562i −0.0355206 0.0400945i
\(604\) 54.8527 + 15.8883i 2.23192 + 0.646484i
\(605\) −0.189008 + 0.154321i −0.00768428 + 0.00627402i
\(606\) 50.8216i 2.06449i
\(607\) −23.0178 28.1916i −0.934262 1.14426i −0.989317 0.145780i \(-0.953431\pi\)
0.0550550 0.998483i \(-0.482467\pi\)
\(608\) 3.61403 + 89.6813i 0.146568 + 3.63706i
\(609\) 7.93673 + 18.6282i 0.321612 + 0.754852i
\(610\) 0.135799 0.358073i 0.00549834 0.0144979i
\(611\) 23.9929 0.531008i 0.970649 0.0214823i
\(612\) −0.173402 0.457223i −0.00700935 0.0184821i
\(613\) 20.3928 19.5875i 0.823657 0.791133i −0.156849 0.987623i \(-0.550134\pi\)
0.980506 + 0.196490i \(0.0629542\pi\)
\(614\) −6.03276 20.8275i −0.243462 0.840529i
\(615\) −4.80047 + 0.387534i −0.193573 + 0.0156269i
\(616\) 27.4884 52.3749i 1.10754 2.11024i
\(617\) 7.32330 + 7.03412i 0.294825 + 0.283183i 0.825512 0.564385i \(-0.190887\pi\)
−0.530687 + 0.847568i \(0.678066\pi\)
\(618\) −31.7858 + 74.6040i −1.27861 + 3.00101i
\(619\) 12.6561 + 4.79983i 0.508692 + 0.192921i 0.595579 0.803297i \(-0.296923\pi\)
−0.0868871 + 0.996218i \(0.527692\pi\)
\(620\) 84.6351 + 13.7545i 3.39903 + 0.552395i
\(621\) 20.3996 + 12.9000i 0.818610 + 0.517657i
\(622\) 48.5310 14.0572i 1.94592 0.563641i
\(623\) −7.83761 + 11.3547i −0.314007 + 0.454918i
\(624\) 99.5598 + 54.5800i 3.98558 + 2.18495i
\(625\) −12.0449 17.4501i −0.481796 0.698002i
\(626\) −13.1764 10.7582i −0.526633 0.429983i
\(627\) −34.4404 + 42.1818i −1.37542 + 1.68458i
\(628\) −9.58133 7.19990i −0.382337 0.287307i
\(629\) 0.261864 + 0.0317961i 0.0104412 + 0.00126779i
\(630\) −16.3716 49.0390i −0.652260 1.95376i
\(631\) 1.59511 + 19.7589i 0.0635002 + 0.786591i 0.947634 + 0.319358i \(0.103467\pi\)
−0.884134 + 0.467233i \(0.845251\pi\)
\(632\) 34.0555 38.4407i 1.35465 1.52909i
\(633\) 8.00299 5.06079i 0.318090 0.201148i
\(634\) −68.4384 + 29.1589i −2.71804 + 1.15805i
\(635\) −1.14265 7.03102i −0.0453448 0.279018i
\(636\) −66.8937 + 59.2626i −2.65251 + 2.34992i
\(637\) 4.14091 6.88079i 0.164069 0.272627i
\(638\) −22.5870 20.0103i −0.894227 0.792216i
\(639\) −2.08268 + 3.29350i −0.0823897 + 0.130289i
\(640\) 25.6945 + 2.07428i 1.01567 + 0.0819930i
\(641\) 7.02228 + 34.3974i 0.277363 + 1.35862i 0.844749 + 0.535163i \(0.179750\pi\)
−0.567385 + 0.823453i \(0.692045\pi\)
\(642\) 6.31908 + 25.6375i 0.249394 + 1.01183i
\(643\) −3.65727 + 22.5041i −0.144228 + 0.887473i 0.809569 + 0.587024i \(0.199701\pi\)
−0.953798 + 0.300449i \(0.902863\pi\)
\(644\) −41.7386 66.0043i −1.64473 2.60093i
\(645\) −6.32050 12.0427i −0.248869 0.474181i
\(646\) 0.102036 0.352270i 0.00401456 0.0138599i
\(647\) 6.73064 32.9689i 0.264609 1.29614i −0.602539 0.798089i \(-0.705844\pi\)
0.867148 0.498050i \(-0.165950\pi\)
\(648\) 29.2073 1.17701i 1.14737 0.0462375i
\(649\) 20.6979 10.8631i 0.812465 0.426415i
\(650\) 5.50587 + 3.31347i 0.215958 + 0.129965i
\(651\) 42.2831 + 22.1919i 1.65720 + 0.869768i
\(652\) −81.7739 38.8022i −3.20251 1.51961i
\(653\) −7.78927 13.4914i −0.304818 0.527960i 0.672403 0.740185i \(-0.265262\pi\)
−0.977221 + 0.212225i \(0.931929\pi\)
\(654\) 42.8283 74.1808i 1.67472 2.90070i
\(655\) 10.6402 7.34440i 0.415747 0.286969i
\(656\) 6.01993 8.01107i 0.235039 0.312780i
\(657\) 1.07184 + 0.618825i 0.0418164 + 0.0241427i
\(658\) 38.4194 4.66497i 1.49775 0.181859i
\(659\) −0.227042 0.478481i −0.00884430 0.0186390i 0.898980 0.437989i \(-0.144309\pi\)
−0.907825 + 0.419350i \(0.862258\pi\)
\(660\) 65.1965 + 67.8768i 2.53777 + 2.64210i
\(661\) −0.609553 + 7.55066i −0.0237089 + 0.293687i 0.974027 + 0.226432i \(0.0727061\pi\)
−0.997736 + 0.0672548i \(0.978576\pi\)
\(662\) −8.95836 + 2.20804i −0.348176 + 0.0858178i
\(663\) −0.148744 0.160594i −0.00577675 0.00623694i
\(664\) −29.3325 7.22982i −1.13832 0.280571i
\(665\) 8.81196 26.3950i 0.341713 1.02356i
\(666\) 57.1255 120.390i 2.21357 4.66500i
\(667\) −22.9229 + 7.65278i −0.887577 + 0.296317i
\(668\) 87.4018 + 60.3291i 3.38168 + 2.33420i
\(669\) 25.5064 12.1029i 0.986134 0.467926i
\(670\) −1.70362 0.0686535i −0.0658165 0.00265231i
\(671\) −0.0545883 + 0.221473i −0.00210736 + 0.00854989i
\(672\) 79.4767 + 33.8618i 3.06588 + 1.30625i
\(673\) −49.4383 + 8.03450i −1.90570 + 0.309707i −0.994711 0.102713i \(-0.967248\pi\)
−0.910994 + 0.412421i \(0.864683\pi\)
\(674\) −59.4142 12.1295i −2.28855 0.467211i
\(675\) −2.29854 −0.0884710
\(676\) 65.6377 + 7.70491i 2.52453 + 0.296343i
\(677\) 31.6105 1.21489 0.607445 0.794362i \(-0.292195\pi\)
0.607445 + 0.794362i \(0.292195\pi\)
\(678\) −15.2211 3.10742i −0.584564 0.119340i
\(679\) −3.25461 + 0.528925i −0.124900 + 0.0202983i
\(680\) −0.353720 0.150706i −0.0135645 0.00577931i
\(681\) 7.00858 28.4349i 0.268569 1.08963i
\(682\) −71.1074 2.86553i −2.72284 0.109727i
\(683\) −25.8863 + 12.2832i −0.990513 + 0.470004i −0.853797 0.520606i \(-0.825706\pi\)
−0.136716 + 0.990610i \(0.543655\pi\)
\(684\) −109.424 75.5297i −4.18392 2.88795i
\(685\) −35.7765 + 11.9439i −1.36695 + 0.456355i
\(686\) 23.0003 48.4721i 0.878155 1.85067i
\(687\) −9.98866 + 29.9197i −0.381091 + 1.14151i
\(688\) 27.4764 + 6.77232i 1.04753 + 0.258192i
\(689\) −10.4593 + 21.0476i −0.398468 + 0.801849i
\(690\) 101.975 25.1345i 3.88211 0.956853i
\(691\) 0.643410 7.97006i 0.0244765 0.303195i −0.972923 0.231128i \(-0.925758\pi\)
0.997400 0.0720673i \(-0.0229596\pi\)
\(692\) 3.16005 + 3.28996i 0.120127 + 0.125066i
\(693\) 13.2011 + 27.8207i 0.501468 + 1.05682i
\(694\) −15.8619 + 1.92599i −0.602111 + 0.0731095i
\(695\) 17.0419 + 9.83914i 0.646436 + 0.373220i
\(696\) 45.6988 60.8141i 1.73221 2.30515i
\(697\) −0.0158996 + 0.0109747i −0.000602240 + 0.000415696i
\(698\) 0.161899 0.280417i 0.00612795 0.0106139i
\(699\) 23.4374 + 40.5947i 0.886483 + 1.53543i
\(700\) 6.71903 + 3.18822i 0.253955 + 0.120503i
\(701\) 16.1685 + 8.48588i 0.610676 + 0.320507i 0.741556 0.670891i \(-0.234088\pi\)
−0.130880 + 0.991398i \(0.541780\pi\)
\(702\) −30.0105 + 13.5785i −1.13267 + 0.512487i
\(703\) 63.5086 33.3319i 2.39527 1.25714i
\(704\) −51.6617 + 2.08190i −1.94708 + 0.0784644i
\(705\) −7.47165 + 36.5986i −0.281399 + 1.37838i
\(706\) −8.98299 + 31.0129i −0.338079 + 1.16719i
\(707\) −7.18856 13.6967i −0.270354 0.515116i
\(708\) 51.9211 + 82.1066i 1.95131 + 3.08575i
\(709\) 6.89450 42.4236i 0.258929 1.59325i −0.453336 0.891340i \(-0.649766\pi\)
0.712264 0.701911i \(-0.247670\pi\)
\(710\) 1.20880 + 4.90429i 0.0453654 + 0.184055i
\(711\) 5.34794 + 26.1960i 0.200564 + 0.982425i
\(712\) 51.6654 + 4.17086i 1.93624 + 0.156310i
\(713\) −30.4609 + 48.1700i −1.14077 + 1.80398i
\(714\) −0.264226 0.234083i −0.00988839 0.00876035i
\(715\) 22.5911 + 10.1134i 0.844861 + 0.378221i
\(716\) −47.2304 + 41.8425i −1.76508 + 1.56373i
\(717\) −4.73967 29.1644i −0.177006 1.08916i
\(718\) 17.4795 7.44732i 0.652329 0.277931i
\(719\) 5.66182 3.58032i 0.211150 0.133523i −0.424705 0.905332i \(-0.639622\pi\)
0.635855 + 0.771809i \(0.280648\pi\)
\(720\) −68.8481 + 77.7134i −2.56582 + 2.89621i
\(721\) 1.98609 + 24.6021i 0.0739658 + 0.916231i
\(722\) −15.5644 46.6212i −0.579249 1.73506i
\(723\) −18.0124 2.18710i −0.669888 0.0813391i
\(724\) −90.1375 67.7339i −3.34993 2.51731i
\(725\) 1.45554 1.78271i 0.0540572 0.0662081i
\(726\) 0.651929 + 0.532284i 0.0241954 + 0.0197549i
\(727\) 25.5350 + 36.9939i 0.947042 + 1.37203i 0.928150 + 0.372206i \(0.121399\pi\)
0.0188925 + 0.999822i \(0.493986\pi\)
\(728\) 64.6378 + 1.17321i 2.39564 + 0.0434821i
\(729\) −24.4202 + 35.3788i −0.904452 + 1.31032i
\(730\) 1.54093 0.446336i 0.0570324 0.0165196i
\(731\) −0.0461118 0.0291593i −0.00170551 0.00107850i
\(732\) −0.935688 0.152064i −0.0345840 0.00562045i
\(733\) 3.42591 + 1.29928i 0.126539 + 0.0479898i 0.417062 0.908878i \(-0.363060\pi\)
−0.290523 + 0.956868i \(0.593829\pi\)
\(734\) −25.9507 + 60.9086i −0.957858 + 2.24818i
\(735\) 9.01474 + 8.65878i 0.332514 + 0.319384i
\(736\) −47.9158 + 91.2959i −1.76620 + 3.36521i
\(737\) 1.01226 0.0817177i 0.0372869 0.00301011i
\(738\) 2.71525 + 9.37411i 0.0999496 + 0.345066i
\(739\) −12.8318 + 12.3252i −0.472027 + 0.453388i −0.890595 0.454797i \(-0.849712\pi\)
0.418568 + 0.908186i \(0.362532\pi\)
\(740\) −43.9571 115.905i −1.61589 4.26076i
\(741\) −58.0895 12.9614i −2.13397 0.476150i
\(742\) −13.4404 + 35.4393i −0.493411 + 1.30102i
\(743\) −20.6690 48.5118i −0.758271 1.77973i −0.612600 0.790393i \(-0.709876\pi\)
−0.145671 0.989333i \(-0.546534\pi\)
\(744\) −7.22373 179.255i −0.264835 6.57181i
\(745\) −20.4712 25.0727i −0.750007 0.918591i
\(746\) 35.8223i 1.31155i
\(747\) 12.1827 9.94688i 0.445742 0.363937i
\(748\) 0.362635 + 0.105039i 0.0132593 + 0.00384059i
\(749\) 5.32937 + 6.01562i 0.194731 + 0.219806i
\(750\) −58.6624 + 61.0740i −2.14205 + 2.23011i
\(751\) 50.2725 + 16.7834i 1.83447 + 0.612436i 0.997914 + 0.0645569i \(0.0205634\pi\)
0.836557 + 0.547880i \(0.184565\pi\)
\(752\) −46.6905 62.1337i −1.70263 2.26578i
\(753\) −5.36973 44.2237i −0.195684 1.61160i
\(754\) 8.47268 31.8740i 0.308557 1.16078i
\(755\) −2.81768 + 23.2057i −0.102546 + 0.844542i
\(756\) −33.0147 + 19.0610i −1.20073 + 0.693243i
\(757\) 12.9603 9.73904i 0.471050 0.353971i −0.338554 0.940947i \(-0.609938\pi\)
0.809605 + 0.586975i \(0.199682\pi\)
\(758\) 1.21311 30.1029i 0.0440620 1.09339i
\(759\) −58.4917 + 22.1830i −2.12311 + 0.805191i
\(760\) −102.430 + 20.9112i −3.71552 + 0.758528i
\(761\) 47.6720 9.73232i 1.72811 0.352796i 0.769747 0.638349i \(-0.220382\pi\)
0.958363 + 0.285553i \(0.0921771\pi\)
\(762\) −22.9730 + 8.71252i −0.832225 + 0.315621i
\(763\) 1.04978 26.0500i 0.0380046 0.943074i
\(764\) −43.1553 + 32.4291i −1.56130 + 1.17324i
\(765\) 0.173348 0.100083i 0.00626743 0.00361850i
\(766\) −9.60933 + 79.1400i −0.347199 + 2.85944i