Properties

Label 360.2.bo.a.43.8
Level $360$
Weight $2$
Character 360.43
Analytic conductor $2.875$
Analytic rank $0$
Dimension $272$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [360,2,Mod(43,360)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(360, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 8, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("360.43");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 360.bo (of order \(12\), degree \(4\), 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: \(2.87461447277\)
Analytic rank: \(0\)
Dimension: \(272\)
Relative dimension: \(68\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 43.8
Character \(\chi\) \(=\) 360.43
Dual form 360.2.bo.a.67.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.33317 + 0.471880i) q^{2} +(1.70913 + 0.280859i) q^{3} +(1.55466 - 1.25819i) q^{4} +(2.00296 - 0.994061i) q^{5} +(-2.41108 + 0.432071i) q^{6} +(-1.80031 + 0.482392i) q^{7} +(-1.47890 + 2.41098i) q^{8} +(2.84224 + 0.960049i) q^{9} +O(q^{10})\) \(q+(-1.33317 + 0.471880i) q^{2} +(1.70913 + 0.280859i) q^{3} +(1.55466 - 1.25819i) q^{4} +(2.00296 - 0.994061i) q^{5} +(-2.41108 + 0.432071i) q^{6} +(-1.80031 + 0.482392i) q^{7} +(-1.47890 + 2.41098i) q^{8} +(2.84224 + 0.960049i) q^{9} +(-2.20120 + 2.27040i) q^{10} +(-1.24298 + 2.15290i) q^{11} +(3.01048 - 1.71376i) q^{12} +(6.10019 + 1.63454i) q^{13} +(2.17248 - 1.49264i) q^{14} +(3.70250 - 1.13643i) q^{15} +(0.833927 - 3.91211i) q^{16} +(-2.22932 + 2.22932i) q^{17} +(-4.24220 + 0.0612906i) q^{18} -5.65140i q^{19} +(1.86320 - 4.06552i) q^{20} +(-3.21245 + 0.318836i) q^{21} +(0.641183 - 3.45670i) q^{22} +(-2.54761 - 0.682629i) q^{23} +(-3.20478 + 3.70532i) q^{24} +(3.02368 - 3.98213i) q^{25} +(-8.90387 + 0.699444i) q^{26} +(4.58811 + 2.43911i) q^{27} +(-2.19193 + 3.01509i) q^{28} +(0.612879 - 1.06154i) q^{29} +(-4.39979 + 3.26218i) q^{30} +(4.26322 - 2.46137i) q^{31} +(0.734282 + 5.60900i) q^{32} +(-2.72906 + 3.33047i) q^{33} +(1.92008 - 4.02402i) q^{34} +(-3.12642 + 2.75583i) q^{35} +(5.62663 - 2.08352i) q^{36} +(1.09778 + 1.09778i) q^{37} +(2.66678 + 7.53425i) q^{38} +(9.96693 + 4.50693i) q^{39} +(-0.565515 + 6.29922i) q^{40} +(-0.465666 - 0.806558i) q^{41} +(4.13227 - 1.94095i) q^{42} +(-4.49282 + 1.20385i) q^{43} +(0.776346 + 4.91092i) q^{44} +(6.64723 - 0.902420i) q^{45} +(3.71850 - 0.292107i) q^{46} +(2.06237 - 0.552610i) q^{47} +(2.52404 - 6.45207i) q^{48} +(-3.05375 + 1.76309i) q^{49} +(-2.15198 + 6.73565i) q^{50} +(-4.43632 + 3.18407i) q^{51} +(11.5403 - 5.13403i) q^{52} +(-5.17788 + 5.17788i) q^{53} +(-7.26767 - 1.08671i) q^{54} +(-0.349516 + 5.54776i) q^{55} +(1.49945 - 5.05394i) q^{56} +(1.58725 - 9.65896i) q^{57} +(-0.316151 + 1.70441i) q^{58} +(-4.27412 + 2.46767i) q^{59} +(4.32629 - 6.42520i) q^{60} +(-7.16118 - 4.13451i) q^{61} +(-4.52211 + 5.29314i) q^{62} +(-5.58003 - 0.357315i) q^{63} +(-3.62569 - 7.13122i) q^{64} +(13.8433 - 2.79005i) q^{65} +(2.06671 - 5.72786i) q^{66} +(-8.61616 - 2.30869i) q^{67} +(-0.660928 + 6.27073i) q^{68} +(-4.16246 - 1.88222i) q^{69} +(2.86762 - 5.14928i) q^{70} -12.1512i q^{71} +(-6.51805 + 5.43277i) q^{72} +(11.0425 + 11.0425i) q^{73} +(-1.98154 - 0.945500i) q^{74} +(6.28628 - 5.95674i) q^{75} +(-7.11052 - 8.78600i) q^{76} +(1.19920 - 4.47549i) q^{77} +(-15.4143 - 1.30529i) q^{78} +(-6.28448 + 10.8850i) q^{79} +(-2.21855 - 8.66476i) q^{80} +(7.15661 + 5.45737i) q^{81} +(1.00141 + 0.855536i) q^{82} +(-8.30277 + 2.22472i) q^{83} +(-4.59311 + 4.53755i) q^{84} +(-2.24915 + 6.68131i) q^{85} +(5.42160 - 3.72500i) q^{86} +(1.34563 - 1.64217i) q^{87} +(-3.35236 - 6.18072i) q^{88} -17.2854i q^{89} +(-8.43602 + 4.33977i) q^{90} -11.7707 q^{91} +(-4.81953 + 2.14411i) q^{92} +(7.97769 - 3.00943i) q^{93} +(-2.48871 + 1.70991i) q^{94} +(-5.61784 - 11.3195i) q^{95} +(-0.320357 + 9.79272i) q^{96} +(-2.95785 - 11.0389i) q^{97} +(3.23919 - 3.79149i) q^{98} +(-5.59972 + 4.92572i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 272 q - 2 q^{2} - 8 q^{3} - 8 q^{6} - 8 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 272 q - 2 q^{2} - 8 q^{3} - 8 q^{6} - 8 q^{8} - 8 q^{10} - 8 q^{11} - 10 q^{12} - 4 q^{16} - 16 q^{17} + 20 q^{18} + 14 q^{20} + 6 q^{22} - 4 q^{25} - 48 q^{26} - 8 q^{27} + 8 q^{28} - 34 q^{30} - 22 q^{32} + 4 q^{33} - 16 q^{35} - 8 q^{36} - 26 q^{38} - 2 q^{40} - 8 q^{41} - 66 q^{42} - 4 q^{43} - 40 q^{46} - 38 q^{48} - 42 q^{50} - 16 q^{51} + 14 q^{52} + 24 q^{56} + 16 q^{57} + 6 q^{58} + 14 q^{60} - 76 q^{62} - 4 q^{65} - 44 q^{66} - 4 q^{67} - 46 q^{68} + 18 q^{70} + 38 q^{72} - 16 q^{73} - 120 q^{75} - 38 q^{78} + 92 q^{80} - 32 q^{81} - 4 q^{83} - 40 q^{86} - 42 q^{88} - 14 q^{90} - 32 q^{91} + 52 q^{92} + 108 q^{96} - 4 q^{97} - 140 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).

\(n\) \(181\) \(217\) \(271\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33317 + 0.471880i −0.942690 + 0.333670i
\(3\) 1.70913 + 0.280859i 0.986765 + 0.162154i
\(4\) 1.55466 1.25819i 0.777329 0.629094i
\(5\) 2.00296 0.994061i 0.895750 0.444558i
\(6\) −2.41108 + 0.432071i −0.984320 + 0.176392i
\(7\) −1.80031 + 0.482392i −0.680454 + 0.182327i −0.582459 0.812860i \(-0.697910\pi\)
−0.0979948 + 0.995187i \(0.531243\pi\)
\(8\) −1.47890 + 2.41098i −0.522871 + 0.852412i
\(9\) 2.84224 + 0.960049i 0.947412 + 0.320016i
\(10\) −2.20120 + 2.27040i −0.696079 + 0.717965i
\(11\) −1.24298 + 2.15290i −0.374771 + 0.649123i −0.990293 0.138997i \(-0.955612\pi\)
0.615522 + 0.788120i \(0.288945\pi\)
\(12\) 3.01048 1.71376i 0.869052 0.494721i
\(13\) 6.10019 + 1.63454i 1.69189 + 0.453340i 0.970876 0.239582i \(-0.0770105\pi\)
0.721012 + 0.692922i \(0.243677\pi\)
\(14\) 2.17248 1.49264i 0.580621 0.398925i
\(15\) 3.70250 1.13643i 0.955982 0.293425i
\(16\) 0.833927 3.91211i 0.208482 0.978026i
\(17\) −2.22932 + 2.22932i −0.540689 + 0.540689i −0.923731 0.383042i \(-0.874877\pi\)
0.383042 + 0.923731i \(0.374877\pi\)
\(18\) −4.24220 + 0.0612906i −0.999896 + 0.0144463i
\(19\) 5.65140i 1.29652i −0.761419 0.648260i \(-0.775497\pi\)
0.761419 0.648260i \(-0.224503\pi\)
\(20\) 1.86320 4.06552i 0.416624 0.909079i
\(21\) −3.21245 + 0.318836i −0.701014 + 0.0695757i
\(22\) 0.641183 3.45670i 0.136701 0.736971i
\(23\) −2.54761 0.682629i −0.531213 0.142338i −0.0167644 0.999859i \(-0.505337\pi\)
−0.514448 + 0.857521i \(0.672003\pi\)
\(24\) −3.20478 + 3.70532i −0.654173 + 0.756345i
\(25\) 3.02368 3.98213i 0.604737 0.796425i
\(26\) −8.90387 + 0.699444i −1.74619 + 0.137172i
\(27\) 4.58811 + 2.43911i 0.882981 + 0.469408i
\(28\) −2.19193 + 3.01509i −0.414236 + 0.569798i
\(29\) 0.612879 1.06154i 0.113809 0.197123i −0.803494 0.595313i \(-0.797028\pi\)
0.917303 + 0.398190i \(0.130362\pi\)
\(30\) −4.39979 + 3.26218i −0.803288 + 0.595591i
\(31\) 4.26322 2.46137i 0.765697 0.442075i −0.0656404 0.997843i \(-0.520909\pi\)
0.831337 + 0.555768i \(0.187576\pi\)
\(32\) 0.734282 + 5.60900i 0.129804 + 0.991540i
\(33\) −2.72906 + 3.33047i −0.475069 + 0.579761i
\(34\) 1.92008 4.02402i 0.329291 0.690114i
\(35\) −3.12642 + 2.75583i −0.528462 + 0.465821i
\(36\) 5.62663 2.08352i 0.937771 0.347253i
\(37\) 1.09778 + 1.09778i 0.180474 + 0.180474i 0.791562 0.611089i \(-0.209268\pi\)
−0.611089 + 0.791562i \(0.709268\pi\)
\(38\) 2.66678 + 7.53425i 0.432609 + 1.22222i
\(39\) 9.96693 + 4.50693i 1.59599 + 0.721687i
\(40\) −0.565515 + 6.29922i −0.0894157 + 0.995994i
\(41\) −0.465666 0.806558i −0.0727249 0.125963i 0.827370 0.561658i \(-0.189836\pi\)
−0.900095 + 0.435694i \(0.856503\pi\)
\(42\) 4.13227 1.94095i 0.637624 0.299495i
\(43\) −4.49282 + 1.20385i −0.685148 + 0.183585i −0.584569 0.811344i \(-0.698736\pi\)
−0.100579 + 0.994929i \(0.532070\pi\)
\(44\) 0.776346 + 4.91092i 0.117039 + 0.740348i
\(45\) 6.64723 0.902420i 0.990910 0.134525i
\(46\) 3.71850 0.292107i 0.548263 0.0430688i
\(47\) 2.06237 0.552610i 0.300827 0.0806065i −0.105248 0.994446i \(-0.533564\pi\)
0.406076 + 0.913840i \(0.366897\pi\)
\(48\) 2.52404 6.45207i 0.364314 0.931276i
\(49\) −3.05375 + 1.76309i −0.436251 + 0.251869i
\(50\) −2.15198 + 6.73565i −0.304336 + 0.952565i
\(51\) −4.43632 + 3.18407i −0.621209 + 0.445859i
\(52\) 11.5403 5.13403i 1.60035 0.711962i
\(53\) −5.17788 + 5.17788i −0.711236 + 0.711236i −0.966794 0.255558i \(-0.917741\pi\)
0.255558 + 0.966794i \(0.417741\pi\)
\(54\) −7.26767 1.08671i −0.989005 0.147882i
\(55\) −0.349516 + 5.54776i −0.0471288 + 0.748059i
\(56\) 1.49945 5.05394i 0.200372 0.675361i
\(57\) 1.58725 9.65896i 0.210236 1.27936i
\(58\) −0.316151 + 1.70441i −0.0415126 + 0.223800i
\(59\) −4.27412 + 2.46767i −0.556443 + 0.321263i −0.751717 0.659486i \(-0.770774\pi\)
0.195273 + 0.980749i \(0.437441\pi\)
\(60\) 4.32629 6.42520i 0.558521 0.829490i
\(61\) −7.16118 4.13451i −0.916895 0.529370i −0.0342520 0.999413i \(-0.510905\pi\)
−0.882643 + 0.470044i \(0.844238\pi\)
\(62\) −4.52211 + 5.29314i −0.574308 + 0.672230i
\(63\) −5.58003 0.357315i −0.703018 0.0450175i
\(64\) −3.62569 7.13122i −0.453211 0.891403i
\(65\) 13.8433 2.79005i 1.71704 0.346063i
\(66\) 2.06671 5.72786i 0.254394 0.705051i
\(67\) −8.61616 2.30869i −1.05263 0.282052i −0.309292 0.950967i \(-0.600092\pi\)
−0.743339 + 0.668915i \(0.766759\pi\)
\(68\) −0.660928 + 6.27073i −0.0801493 + 0.760438i
\(69\) −4.16246 1.88222i −0.501102 0.226593i
\(70\) 2.86762 5.14928i 0.342746 0.615456i
\(71\) 12.1512i 1.44208i −0.692893 0.721041i \(-0.743664\pi\)
0.692893 0.721041i \(-0.256336\pi\)
\(72\) −6.51805 + 5.43277i −0.768160 + 0.640258i
\(73\) 11.0425 + 11.0425i 1.29243 + 1.29243i 0.933279 + 0.359153i \(0.116935\pi\)
0.359153 + 0.933279i \(0.383065\pi\)
\(74\) −1.98154 0.945500i −0.230349 0.109912i
\(75\) 6.28628 5.95674i 0.725877 0.687825i
\(76\) −7.11052 8.78600i −0.815633 1.00782i
\(77\) 1.19920 4.47549i 0.136662 0.510029i
\(78\) −15.4143 1.30529i −1.74532 0.147795i
\(79\) −6.28448 + 10.8850i −0.707060 + 1.22466i 0.258883 + 0.965909i \(0.416645\pi\)
−0.965943 + 0.258755i \(0.916688\pi\)
\(80\) −2.21855 8.66476i −0.248042 0.968749i
\(81\) 7.15661 + 5.45737i 0.795179 + 0.606375i
\(82\) 1.00141 + 0.855536i 0.110587 + 0.0944782i
\(83\) −8.30277 + 2.22472i −0.911347 + 0.244195i −0.683883 0.729592i \(-0.739710\pi\)
−0.227464 + 0.973786i \(0.573044\pi\)
\(84\) −4.59311 + 4.53755i −0.501149 + 0.495087i
\(85\) −2.24915 + 6.68131i −0.243955 + 0.724690i
\(86\) 5.42160 3.72500i 0.584626 0.401677i
\(87\) 1.34563 1.64217i 0.144267 0.176059i
\(88\) −3.35236 6.18072i −0.357363 0.658867i
\(89\) 17.2854i 1.83225i −0.400896 0.916124i \(-0.631301\pi\)
0.400896 0.916124i \(-0.368699\pi\)
\(90\) −8.43602 + 4.33977i −0.889234 + 0.457452i
\(91\) −11.7707 −1.23391
\(92\) −4.81953 + 2.14411i −0.502471 + 0.223539i
\(93\) 7.97769 3.00943i 0.827248 0.312064i
\(94\) −2.48871 + 1.70991i −0.256691 + 0.176364i
\(95\) −5.61784 11.3195i −0.576378 1.16136i
\(96\) −0.320357 + 9.79272i −0.0326963 + 0.999465i
\(97\) −2.95785 11.0389i −0.300325 1.12083i −0.936896 0.349609i \(-0.886315\pi\)
0.636571 0.771218i \(-0.280352\pi\)
\(98\) 3.23919 3.79149i 0.327208 0.382998i
\(99\) −5.59972 + 4.92572i −0.562793 + 0.495054i
\(100\) −0.309468 9.99521i −0.0309468 0.999521i
\(101\) −1.16881 0.674816i −0.116301 0.0671467i 0.440721 0.897644i \(-0.354723\pi\)
−0.557022 + 0.830498i \(0.688056\pi\)
\(102\) 4.41185 6.33830i 0.436838 0.627585i
\(103\) −1.54002 0.412646i −0.151742 0.0406592i 0.182148 0.983271i \(-0.441695\pi\)
−0.333890 + 0.942612i \(0.608362\pi\)
\(104\) −12.9624 + 12.2901i −1.27107 + 1.20515i
\(105\) −6.11746 + 3.83199i −0.597003 + 0.373964i
\(106\) 4.45963 9.34630i 0.433158 0.907793i
\(107\) −6.20837 + 6.20837i −0.600186 + 0.600186i −0.940362 0.340176i \(-0.889513\pi\)
0.340176 + 0.940362i \(0.389513\pi\)
\(108\) 10.2018 1.98071i 0.981669 0.190594i
\(109\) −16.1437 −1.54628 −0.773141 0.634235i \(-0.781315\pi\)
−0.773141 + 0.634235i \(0.781315\pi\)
\(110\) −2.15191 7.56100i −0.205177 0.720913i
\(111\) 1.56792 + 2.18456i 0.148821 + 0.207350i
\(112\) 0.385840 + 7.44529i 0.0364585 + 0.703514i
\(113\) 2.04172 7.61981i 0.192069 0.716812i −0.800937 0.598749i \(-0.795665\pi\)
0.993006 0.118063i \(-0.0376685\pi\)
\(114\) 2.44181 + 13.6260i 0.228696 + 1.27619i
\(115\) −5.78132 + 1.16520i −0.539111 + 0.108655i
\(116\) −0.382796 2.42145i −0.0355417 0.224826i
\(117\) 15.7689 + 10.5022i 1.45784 + 0.970932i
\(118\) 4.53367 5.30668i 0.417358 0.488519i
\(119\) 2.93807 5.08888i 0.269332 0.466497i
\(120\) −2.73573 + 10.6073i −0.249737 + 0.968314i
\(121\) 2.41002 + 4.17428i 0.219093 + 0.379480i
\(122\) 11.4980 + 2.13277i 1.04098 + 0.193092i
\(123\) −0.569354 1.50930i −0.0513369 0.136089i
\(124\) 3.53099 9.19053i 0.317092 0.825334i
\(125\) 2.09783 10.9818i 0.187636 0.982239i
\(126\) 7.60772 2.15675i 0.677749 0.192138i
\(127\) −0.142129 0.142129i −0.0126119 0.0126119i 0.700773 0.713385i \(-0.252839\pi\)
−0.713385 + 0.700773i \(0.752839\pi\)
\(128\) 8.19873 + 7.79621i 0.724672 + 0.689094i
\(129\) −8.01691 + 0.795679i −0.705850 + 0.0700556i
\(130\) −17.1388 + 10.2519i −1.50317 + 0.899155i
\(131\) 10.5282 + 18.2354i 0.919856 + 1.59324i 0.799632 + 0.600491i \(0.205028\pi\)
0.120224 + 0.992747i \(0.461639\pi\)
\(132\) −0.0524021 + 8.61143i −0.00456102 + 0.749528i
\(133\) 2.72619 + 10.1743i 0.236391 + 0.882223i
\(134\) 12.5762 0.987923i 1.08642 0.0853436i
\(135\) 11.6144 + 0.324585i 0.999610 + 0.0279358i
\(136\) −2.07791 8.67180i −0.178179 0.743601i
\(137\) 0.592433 + 2.21099i 0.0506150 + 0.188898i 0.986605 0.163130i \(-0.0521590\pi\)
−0.935990 + 0.352028i \(0.885492\pi\)
\(138\) 6.43743 + 0.545127i 0.547991 + 0.0464043i
\(139\) 16.5978 9.58277i 1.40781 0.812800i 0.412634 0.910897i \(-0.364609\pi\)
0.995177 + 0.0980970i \(0.0312755\pi\)
\(140\) −1.39317 + 8.21801i −0.117744 + 0.694549i
\(141\) 3.68006 0.365246i 0.309917 0.0307593i
\(142\) 5.73391 + 16.1996i 0.481179 + 1.35944i
\(143\) −11.1014 + 11.1014i −0.928344 + 0.928344i
\(144\) 6.12603 10.3185i 0.510502 0.859876i
\(145\) 0.172338 2.73546i 0.0143119 0.227167i
\(146\) −19.9323 9.51078i −1.64961 0.787118i
\(147\) −5.71443 + 2.15566i −0.471319 + 0.177796i
\(148\) 3.08788 + 0.325459i 0.253822 + 0.0267526i
\(149\) −7.67269 13.2895i −0.628571 1.08872i −0.987839 0.155482i \(-0.950307\pi\)
0.359268 0.933235i \(-0.383026\pi\)
\(150\) −5.56978 + 10.9077i −0.454771 + 0.890608i
\(151\) −16.7455 9.66802i −1.36273 0.786772i −0.372743 0.927935i \(-0.621583\pi\)
−0.989986 + 0.141162i \(0.954916\pi\)
\(152\) 13.6254 + 8.35787i 1.10517 + 0.677913i
\(153\) −8.47651 + 4.19600i −0.685285 + 0.339226i
\(154\) 0.513157 + 6.53245i 0.0413514 + 0.526400i
\(155\) 6.09230 9.16793i 0.489345 0.736386i
\(156\) 21.1657 5.53352i 1.69462 0.443036i
\(157\) 1.94728 7.26736i 0.155410 0.579998i −0.843660 0.536878i \(-0.819603\pi\)
0.999070 0.0431202i \(-0.0137298\pi\)
\(158\) 3.24182 17.4771i 0.257905 1.39040i
\(159\) −10.3039 + 7.39540i −0.817153 + 0.586493i
\(160\) 7.04642 + 10.5047i 0.557069 + 0.830467i
\(161\) 4.91578 0.387418
\(162\) −12.1162 3.89851i −0.951936 0.306296i
\(163\) −9.43041 9.43041i −0.738647 0.738647i 0.233670 0.972316i \(-0.424927\pi\)
−0.972316 + 0.233670i \(0.924927\pi\)
\(164\) −1.73875 0.668026i −0.135774 0.0521641i
\(165\) −2.15551 + 9.38366i −0.167806 + 0.730517i
\(166\) 10.0192 6.88383i 0.777638 0.534289i
\(167\) −1.71274 + 6.39203i −0.132536 + 0.494630i −0.999996 0.00287647i \(-0.999084\pi\)
0.867460 + 0.497507i \(0.165751\pi\)
\(168\) 3.98219 8.21669i 0.307233 0.633932i
\(169\) 23.2823 + 13.4420i 1.79094 + 1.03400i
\(170\) −0.154286 9.96863i −0.0118332 0.764559i
\(171\) 5.42562 16.0626i 0.414908 1.22834i
\(172\) −5.47013 + 7.52438i −0.417094 + 0.573729i
\(173\) 0.0130577 + 0.0487322i 0.000992762 + 0.00370504i 0.966420 0.256966i \(-0.0827229\pi\)
−0.965428 + 0.260671i \(0.916056\pi\)
\(174\) −1.01904 + 2.82426i −0.0772534 + 0.214107i
\(175\) −3.52263 + 8.62768i −0.266286 + 0.652191i
\(176\) 7.38581 + 6.65801i 0.556726 + 0.501866i
\(177\) −7.99809 + 3.01713i −0.601173 + 0.226781i
\(178\) 8.15663 + 23.0443i 0.611365 + 1.72724i
\(179\) 4.19717i 0.313711i 0.987622 + 0.156855i \(0.0501357\pi\)
−0.987622 + 0.156855i \(0.949864\pi\)
\(180\) 9.19876 9.76642i 0.685635 0.727946i
\(181\) 21.7125i 1.61388i 0.590636 + 0.806938i \(0.298877\pi\)
−0.590636 + 0.806938i \(0.701123\pi\)
\(182\) 15.6923 5.55438i 1.16319 0.411718i
\(183\) −11.0782 9.07769i −0.818921 0.671042i
\(184\) 5.41347 5.13270i 0.399086 0.378387i
\(185\) 3.29006 + 1.10755i 0.241890 + 0.0814283i
\(186\) −9.21548 + 7.77658i −0.675712 + 0.570207i
\(187\) −2.02850 7.57048i −0.148339 0.553609i
\(188\) 2.51099 3.45397i 0.183133 0.251906i
\(189\) −9.43664 2.17790i −0.686414 0.158419i
\(190\) 12.8310 + 12.4398i 0.930856 + 0.902481i
\(191\) 7.88282 + 4.55115i 0.570381 + 0.329309i 0.757301 0.653066i \(-0.226517\pi\)
−0.186921 + 0.982375i \(0.559851\pi\)
\(192\) −4.19390 13.2065i −0.302669 0.953096i
\(193\) 0.00444057 0.0165724i 0.000319639 0.00119291i −0.965766 0.259415i \(-0.916470\pi\)
0.966085 + 0.258223i \(0.0831368\pi\)
\(194\) 9.15232 + 13.3209i 0.657099 + 0.956383i
\(195\) 24.4435 0.880538i 1.75044 0.0630566i
\(196\) −2.52925 + 6.58319i −0.180661 + 0.470228i
\(197\) 0.634408 + 0.634408i 0.0451997 + 0.0451997i 0.729345 0.684146i \(-0.239825\pi\)
−0.684146 + 0.729345i \(0.739825\pi\)
\(198\) 5.14100 9.20920i 0.365355 0.654469i
\(199\) 17.3156 1.22747 0.613734 0.789513i \(-0.289667\pi\)
0.613734 + 0.789513i \(0.289667\pi\)
\(200\) 5.12911 + 13.1792i 0.362683 + 0.931913i
\(201\) −14.0777 6.36578i −0.992964 0.449007i
\(202\) 1.87666 + 0.348100i 0.132041 + 0.0244923i
\(203\) −0.591297 + 2.20675i −0.0415009 + 0.154883i
\(204\) −2.89080 + 10.5319i −0.202397 + 0.737377i
\(205\) −1.73448 1.15260i −0.121141 0.0805011i
\(206\) 2.24781 0.176577i 0.156613 0.0123027i
\(207\) −6.58554 4.38602i −0.457727 0.304849i
\(208\) 11.4816 22.5015i 0.796106 1.56020i
\(209\) 12.1669 + 7.02455i 0.841601 + 0.485898i
\(210\) 6.34735 7.99538i 0.438009 0.551733i
\(211\) 8.45922 + 14.6518i 0.582357 + 1.00867i 0.995199 + 0.0978690i \(0.0312026\pi\)
−0.412843 + 0.910802i \(0.635464\pi\)
\(212\) −1.53509 + 14.5646i −0.105430 + 1.00030i
\(213\) 3.41278 20.7679i 0.233840 1.42300i
\(214\) 5.34718 11.2064i 0.365526 0.766053i
\(215\) −7.80223 + 6.87739i −0.532108 + 0.469034i
\(216\) −12.6660 + 7.45464i −0.861814 + 0.507224i
\(217\) −6.48778 + 6.48778i −0.440420 + 0.440420i
\(218\) 21.5222 7.61786i 1.45766 0.515947i
\(219\) 15.7717 + 21.9745i 1.06575 + 1.48490i
\(220\) 6.43674 + 9.06462i 0.433965 + 0.611137i
\(221\) −17.2432 + 9.95536i −1.15990 + 0.669670i
\(222\) −3.12115 2.17251i −0.209478 0.145810i
\(223\) 1.77020 + 6.60647i 0.118541 + 0.442402i 0.999527 0.0307401i \(-0.00978643\pi\)
−0.880986 + 0.473142i \(0.843120\pi\)
\(224\) −4.02767 9.74374i −0.269110 0.651031i
\(225\) 12.4171 8.41526i 0.827804 0.561017i
\(226\) 0.873684 + 11.1219i 0.0581166 + 0.739819i
\(227\) −5.18704 19.3583i −0.344276 1.28486i −0.893456 0.449151i \(-0.851726\pi\)
0.549180 0.835704i \(-0.314940\pi\)
\(228\) −9.68516 17.0134i −0.641416 1.12674i
\(229\) −5.26835 9.12505i −0.348142 0.603000i 0.637777 0.770221i \(-0.279854\pi\)
−0.985919 + 0.167221i \(0.946521\pi\)
\(230\) 7.15763 4.28149i 0.471960 0.282313i
\(231\) 3.30658 7.31238i 0.217557 0.481119i
\(232\) 1.65296 + 3.04756i 0.108522 + 0.200082i
\(233\) −17.5484 17.5484i −1.14963 1.14963i −0.986625 0.163009i \(-0.947880\pi\)
−0.163009 0.986625i \(-0.552120\pi\)
\(234\) −25.9784 6.56016i −1.69826 0.428851i
\(235\) 3.58151 3.15698i 0.233632 0.205938i
\(236\) −3.54001 + 9.21403i −0.230435 + 0.599782i
\(237\) −13.7982 + 16.8389i −0.896286 + 1.09380i
\(238\) −1.51559 + 8.17073i −0.0982409 + 0.529630i
\(239\) 6.36610 + 11.0264i 0.411789 + 0.713239i 0.995085 0.0990200i \(-0.0315708\pi\)
−0.583297 + 0.812259i \(0.698237\pi\)
\(240\) −1.35821 15.4323i −0.0876722 0.996149i
\(241\) −9.17931 + 15.8990i −0.591292 + 1.02415i 0.402767 + 0.915302i \(0.368048\pi\)
−0.994059 + 0.108845i \(0.965285\pi\)
\(242\) −5.18272 4.42777i −0.333158 0.284628i
\(243\) 10.6988 + 11.3373i 0.686329 + 0.727291i
\(244\) −16.3352 + 2.58236i −1.04575 + 0.165319i
\(245\) −4.36393 + 6.56701i −0.278801 + 0.419551i
\(246\) 1.47125 + 1.74348i 0.0938035 + 0.111160i
\(247\) 9.23744 34.4746i 0.587764 2.19357i
\(248\) −0.370562 + 13.9187i −0.0235307 + 0.883838i
\(249\) −14.8153 + 1.47042i −0.938883 + 0.0931842i
\(250\) 2.38532 + 15.6304i 0.150861 + 0.988555i
\(251\) 15.8460 1.00019 0.500096 0.865970i \(-0.333298\pi\)
0.500096 + 0.865970i \(0.333298\pi\)
\(252\) −9.12462 + 6.46523i −0.574797 + 0.407271i
\(253\) 4.63624 4.63624i 0.291478 0.291478i
\(254\) 0.256550 + 0.122414i 0.0160974 + 0.00768092i
\(255\) −5.72060 + 10.7875i −0.358238 + 0.675541i
\(256\) −14.6091 6.52482i −0.913071 0.407801i
\(257\) −4.55868 1.22149i −0.284362 0.0761947i 0.113819 0.993502i \(-0.463692\pi\)
−0.398181 + 0.917307i \(0.630358\pi\)
\(258\) 10.3124 4.84379i 0.642022 0.301561i
\(259\) −2.50590 1.44678i −0.155709 0.0898988i
\(260\) 18.0111 21.7550i 1.11700 1.34919i
\(261\) 2.76108 2.42875i 0.170906 0.150336i
\(262\) −22.6408 19.3428i −1.39875 1.19500i
\(263\) −0.793018 2.95958i −0.0488996 0.182496i 0.937156 0.348909i \(-0.113448\pi\)
−0.986056 + 0.166414i \(0.946781\pi\)
\(264\) −3.99370 11.5052i −0.245795 0.708095i
\(265\) −5.22395 + 15.5182i −0.320904 + 0.953276i
\(266\) −8.43551 12.2776i −0.517214 0.752786i
\(267\) 4.85476 29.5429i 0.297107 1.80800i
\(268\) −16.2999 + 7.25151i −0.995678 + 0.442957i
\(269\) 13.1477 0.801629 0.400814 0.916159i \(-0.368727\pi\)
0.400814 + 0.916159i \(0.368727\pi\)
\(270\) −15.6371 + 5.04788i −0.951644 + 0.307204i
\(271\) 9.41517i 0.571931i 0.958240 + 0.285965i \(0.0923142\pi\)
−0.958240 + 0.285965i \(0.907686\pi\)
\(272\) 6.86224 + 10.5804i 0.416085 + 0.641532i
\(273\) −20.1177 3.30592i −1.21758 0.200083i
\(274\) −1.83313 2.66806i −0.110744 0.161183i
\(275\) 4.81474 + 11.4594i 0.290340 + 0.691026i
\(276\) −8.83939 + 2.31095i −0.532069 + 0.139103i
\(277\) −30.5379 + 8.18260i −1.83484 + 0.491645i −0.998407 0.0564209i \(-0.982031\pi\)
−0.836435 + 0.548065i \(0.815364\pi\)
\(278\) −17.6058 + 20.6076i −1.05592 + 1.23596i
\(279\) 14.4801 2.90290i 0.866902 0.173792i
\(280\) −2.02059 11.6134i −0.120754 0.694032i
\(281\) 7.23037 12.5234i 0.431328 0.747082i −0.565660 0.824638i \(-0.691379\pi\)
0.996988 + 0.0775568i \(0.0247119\pi\)
\(282\) −4.73377 + 2.22348i −0.281892 + 0.132406i
\(283\) 0.0225783 0.0842633i 0.00134214 0.00500893i −0.965252 0.261323i \(-0.915841\pi\)
0.966594 + 0.256314i \(0.0825080\pi\)
\(284\) −15.2885 18.8910i −0.907205 1.12097i
\(285\) −6.42241 20.9243i −0.380431 1.23945i
\(286\) 9.56146 20.0385i 0.565381 1.18490i
\(287\) 1.22742 + 1.22742i 0.0724525 + 0.0724525i
\(288\) −3.29791 + 16.6470i −0.194331 + 0.980936i
\(289\) 7.06027i 0.415310i
\(290\) 1.06105 + 3.72814i 0.0623072 + 0.218924i
\(291\) −1.95498 19.6976i −0.114603 1.15469i
\(292\) 31.0610 + 3.27379i 1.81771 + 0.191584i
\(293\) 1.62211 + 0.434642i 0.0947645 + 0.0253921i 0.305890 0.952067i \(-0.401046\pi\)
−0.211125 + 0.977459i \(0.567713\pi\)
\(294\) 6.60107 5.57038i 0.384982 0.324871i
\(295\) −6.10788 + 9.19137i −0.355614 + 0.535142i
\(296\) −4.27023 + 1.02322i −0.248202 + 0.0594734i
\(297\) −10.9541 + 6.84596i −0.635619 + 0.397243i
\(298\) 16.5000 + 14.0965i 0.955819 + 0.816588i
\(299\) −14.4251 8.32833i −0.834225 0.481640i
\(300\) 2.27833 17.1700i 0.131539 0.991311i
\(301\) 7.50775 4.33460i 0.432740 0.249842i
\(302\) 26.8867 + 4.98720i 1.54715 + 0.286981i
\(303\) −1.80813 1.48162i −0.103874 0.0851168i
\(304\) −22.1089 4.71285i −1.26803 0.270301i
\(305\) −18.4535 1.16260i −1.05664 0.0665701i
\(306\) 9.32058 9.59385i 0.532822 0.548444i
\(307\) 8.64512 8.64512i 0.493403 0.493403i −0.415974 0.909377i \(-0.636559\pi\)
0.909377 + 0.415974i \(0.136559\pi\)
\(308\) −3.76665 8.46668i −0.214625 0.482434i
\(309\) −2.51619 1.13779i −0.143141 0.0647267i
\(310\) −3.79588 + 15.0972i −0.215591 + 0.857463i
\(311\) 11.8281 6.82895i 0.670709 0.387234i −0.125636 0.992076i \(-0.540097\pi\)
0.796345 + 0.604842i \(0.206764\pi\)
\(312\) −25.6063 + 17.3648i −1.44967 + 0.983088i
\(313\) −1.97905 + 0.530285i −0.111862 + 0.0299735i −0.314316 0.949318i \(-0.601775\pi\)
0.202454 + 0.979292i \(0.435108\pi\)
\(314\) 0.833271 + 10.6075i 0.0470242 + 0.598614i
\(315\) −11.5318 + 4.83121i −0.649742 + 0.272208i
\(316\) 3.92520 + 24.8296i 0.220810 + 1.39677i
\(317\) 23.4313 6.27840i 1.31603 0.352630i 0.468543 0.883441i \(-0.344779\pi\)
0.847491 + 0.530810i \(0.178112\pi\)
\(318\) 10.2471 14.7215i 0.574627 0.825541i
\(319\) 1.52359 + 2.63893i 0.0853046 + 0.147752i
\(320\) −14.3510 10.6794i −0.802244 0.596996i
\(321\) −12.3546 + 8.86722i −0.689566 + 0.494920i
\(322\) −6.55355 + 2.31966i −0.365215 + 0.129270i
\(323\) 12.5988 + 12.5988i 0.701015 + 0.701015i
\(324\) 17.9925 0.520014i 0.999583 0.0288896i
\(325\) 24.9540 19.3494i 1.38420 1.07331i
\(326\) 17.0223 + 8.12227i 0.942779 + 0.449851i
\(327\) −27.5916 4.53409i −1.52582 0.250736i
\(328\) 2.63327 + 0.0701066i 0.145398 + 0.00387099i
\(329\) −3.44633 + 1.98974i −0.190003 + 0.109698i
\(330\) −1.55431 13.5271i −0.0855622 0.744643i
\(331\) −8.03183 + 13.9115i −0.441469 + 0.764648i −0.997799 0.0663143i \(-0.978876\pi\)
0.556329 + 0.830962i \(0.312209\pi\)
\(332\) −10.1089 + 13.9051i −0.554796 + 0.763143i
\(333\) 2.06622 + 4.17407i 0.113228 + 0.228737i
\(334\) −0.732907 9.32984i −0.0401029 0.510506i
\(335\) −19.5528 + 3.94077i −1.06828 + 0.215308i
\(336\) −1.43163 + 12.8333i −0.0781018 + 0.700115i
\(337\) −5.35695 1.43539i −0.291812 0.0781907i 0.109943 0.993938i \(-0.464933\pi\)
−0.401755 + 0.915747i \(0.631600\pi\)
\(338\) −37.3821 6.93400i −2.03332 0.377160i
\(339\) 5.62966 12.4498i 0.305761 0.676180i
\(340\) 4.90968 + 13.2170i 0.266265 + 0.716794i
\(341\) 12.2377i 0.662708i
\(342\) 0.346378 + 23.9744i 0.0187300 + 1.29638i
\(343\) 13.8727 13.8727i 0.749053 0.749053i
\(344\) 3.74199 12.6125i 0.201754 0.680020i
\(345\) −10.2083 + 0.367737i −0.549595 + 0.0197983i
\(346\) −0.0404039 0.0588064i −0.00217213 0.00316145i
\(347\) 5.59124 + 1.49817i 0.300154 + 0.0804259i 0.405753 0.913983i \(-0.367009\pi\)
−0.105599 + 0.994409i \(0.533676\pi\)
\(348\) 0.0258382 4.24607i 0.00138507 0.227614i
\(349\) 11.7189 20.2977i 0.627296 1.08651i −0.360796 0.932645i \(-0.617495\pi\)
0.988092 0.153864i \(-0.0491718\pi\)
\(350\) 0.625018 13.1644i 0.0334086 0.703666i
\(351\) 24.0015 + 22.3785i 1.28110 + 1.19448i
\(352\) −12.9883 5.39101i −0.692278 0.287342i
\(353\) −9.83716 + 2.63586i −0.523579 + 0.140293i −0.510922 0.859627i \(-0.670696\pi\)
−0.0126574 + 0.999920i \(0.504029\pi\)
\(354\) 9.23905 7.79647i 0.491050 0.414378i
\(355\) −12.0790 24.3383i −0.641089 1.29175i
\(356\) −21.7483 26.8729i −1.15266 1.42426i
\(357\) 6.45079 7.87236i 0.341412 0.416650i
\(358\) −1.98056 5.59552i −0.104676 0.295732i
\(359\) 28.9907 1.53007 0.765037 0.643987i \(-0.222721\pi\)
0.765037 + 0.643987i \(0.222721\pi\)
\(360\) −7.65489 + 17.3610i −0.403448 + 0.915003i
\(361\) −12.9383 −0.680964
\(362\) −10.2457 28.9463i −0.538501 1.52139i
\(363\) 2.94665 + 7.81126i 0.154659 + 0.409985i
\(364\) −18.2995 + 14.8098i −0.959154 + 0.776245i
\(365\) 33.0947 + 11.1408i 1.73226 + 0.583135i
\(366\) 19.0526 + 6.87450i 0.995895 + 0.359336i
\(367\) 18.2567 4.89186i 0.952990 0.255353i 0.251359 0.967894i \(-0.419122\pi\)
0.701631 + 0.712541i \(0.252456\pi\)
\(368\) −4.79503 + 9.39724i −0.249958 + 0.489865i
\(369\) −0.549199 2.73949i −0.0285902 0.142612i
\(370\) −4.90883 + 0.0759745i −0.255198 + 0.00394972i
\(371\) 6.82403 11.8196i 0.354286 0.613642i
\(372\) 8.61615 14.7161i 0.446727 0.762993i
\(373\) 15.1765 + 4.06654i 0.785811 + 0.210557i 0.629345 0.777126i \(-0.283323\pi\)
0.156466 + 0.987683i \(0.449990\pi\)
\(374\) 6.27669 + 9.13549i 0.324560 + 0.472385i
\(375\) 6.66979 18.1800i 0.344427 0.938813i
\(376\) −1.71771 + 5.78960i −0.0885841 + 0.298576i
\(377\) 5.47381 5.47381i 0.281915 0.281915i
\(378\) 13.6083 1.54946i 0.699936 0.0796955i
\(379\) 20.7390i 1.06529i 0.846339 + 0.532645i \(0.178802\pi\)
−0.846339 + 0.532645i \(0.821198\pi\)
\(380\) −22.9759 10.5297i −1.17864 0.540162i
\(381\) −0.202999 0.282835i −0.0103999 0.0144901i
\(382\) −12.6567 2.34769i −0.647573 0.120118i
\(383\) 12.5767 + 3.36991i 0.642638 + 0.172194i 0.565398 0.824818i \(-0.308723\pi\)
0.0772398 + 0.997013i \(0.475389\pi\)
\(384\) 11.8230 + 15.6274i 0.603342 + 0.797483i
\(385\) −2.04696 10.1563i −0.104323 0.517613i
\(386\) 0.00190019 + 0.0241892i 9.67169e−5 + 0.00123120i
\(387\) −13.9254 0.891707i −0.707868 0.0453280i
\(388\) −18.4874 13.4401i −0.938556 0.682319i
\(389\) −10.0557 + 17.4170i −0.509845 + 0.883078i 0.490089 + 0.871672i \(0.336964\pi\)
−0.999935 + 0.0114061i \(0.996369\pi\)
\(390\) −32.1717 + 12.7083i −1.62908 + 0.643510i
\(391\) 7.20123 4.15763i 0.364182 0.210260i
\(392\) 0.265434 9.96998i 0.0134065 0.503560i
\(393\) 12.8725 + 34.1236i 0.649332 + 1.72131i
\(394\) −1.14514 0.546406i −0.0576911 0.0275276i
\(395\) −1.76715 + 28.0495i −0.0889152 + 1.41132i
\(396\) −2.50816 + 14.7033i −0.126040 + 0.738869i
\(397\) 16.8381 + 16.8381i 0.845079 + 0.845079i 0.989514 0.144435i \(-0.0461364\pi\)
−0.144435 + 0.989514i \(0.546136\pi\)
\(398\) −23.0845 + 8.17086i −1.15712 + 0.409568i
\(399\) 1.80187 + 18.1548i 0.0902062 + 0.908879i
\(400\) −13.0570 15.1498i −0.652848 0.757489i
\(401\) 2.31913 + 4.01685i 0.115812 + 0.200592i 0.918104 0.396340i \(-0.129720\pi\)
−0.802292 + 0.596932i \(0.796386\pi\)
\(402\) 21.7718 + 1.84365i 1.08588 + 0.0919529i
\(403\) 30.0297 8.04643i 1.49588 0.400821i
\(404\) −2.66615 + 0.421481i −0.132646 + 0.0209695i
\(405\) 19.7594 + 3.81677i 0.981850 + 0.189657i
\(406\) −0.253025 3.22098i −0.0125574 0.159855i
\(407\) −3.72791 + 0.998892i −0.184786 + 0.0495132i
\(408\) −1.11585 15.4048i −0.0552429 0.762652i
\(409\) 14.1419 8.16483i 0.699272 0.403725i −0.107804 0.994172i \(-0.534382\pi\)
0.807076 + 0.590447i \(0.201049\pi\)
\(410\) 2.85624 + 0.718142i 0.141059 + 0.0354665i
\(411\) 0.391567 + 3.94526i 0.0193146 + 0.194605i
\(412\) −2.91338 + 1.29610i −0.143532 + 0.0638545i
\(413\) 6.50437 6.50437i 0.320059 0.320059i
\(414\) 10.8493 + 2.73970i 0.533213 + 0.134649i
\(415\) −14.4186 + 12.7095i −0.707781 + 0.623884i
\(416\) −4.68888 + 35.4161i −0.229891 + 1.73642i
\(417\) 31.0592 11.7165i 1.52098 0.573761i
\(418\) −19.5352 3.62358i −0.955498 0.177235i
\(419\) 18.7522 10.8266i 0.916103 0.528913i 0.0337136 0.999432i \(-0.489267\pi\)
0.882390 + 0.470519i \(0.155933\pi\)
\(420\) −4.68920 + 13.6543i −0.228810 + 0.666264i
\(421\) 15.3365 + 8.85456i 0.747457 + 0.431545i 0.824774 0.565462i \(-0.191302\pi\)
−0.0773170 + 0.997007i \(0.524635\pi\)
\(422\) −18.1914 15.5415i −0.885545 0.756550i
\(423\) 6.39227 + 0.409327i 0.310803 + 0.0199021i
\(424\) −4.82620 20.1414i −0.234381 0.978151i
\(425\) 2.13668 + 15.6182i 0.103644 + 0.757593i
\(426\) 5.25018 + 29.2975i 0.254372 + 1.41947i
\(427\) 14.8868 + 3.98891i 0.720424 + 0.193037i
\(428\) −1.84060 + 17.4632i −0.0889688 + 0.844116i
\(429\) −22.0916 + 15.8558i −1.06659 + 0.765523i
\(430\) 7.15636 12.8504i 0.345110 0.619702i
\(431\) 1.66009i 0.0799638i −0.999200 0.0399819i \(-0.987270\pi\)
0.999200 0.0399819i \(-0.0127300\pi\)
\(432\) 13.3682 15.9151i 0.643179 0.765716i
\(433\) 13.7959 + 13.7959i 0.662991 + 0.662991i 0.956084 0.293093i \(-0.0946846\pi\)
−0.293093 + 0.956084i \(0.594685\pi\)
\(434\) 5.58783 11.7107i 0.268225 0.562134i
\(435\) 1.06283 4.62684i 0.0509586 0.221840i
\(436\) −25.0979 + 20.3117i −1.20197 + 0.972756i
\(437\) −3.85781 + 14.3975i −0.184544 + 0.688728i
\(438\) −31.3956 21.8533i −1.50014 1.04419i
\(439\) 10.1285 17.5430i 0.483406 0.837283i −0.516413 0.856340i \(-0.672733\pi\)
0.999818 + 0.0190568i \(0.00606633\pi\)
\(440\) −12.8587 9.04727i −0.613012 0.431312i
\(441\) −10.3721 + 2.07935i −0.493911 + 0.0990168i
\(442\) 18.2903 21.4088i 0.869980 1.01832i
\(443\) −30.7161 + 8.23036i −1.45937 + 0.391036i −0.899271 0.437392i \(-0.855902\pi\)
−0.560096 + 0.828428i \(0.689236\pi\)
\(444\) 5.18618 + 1.42351i 0.246125 + 0.0675569i
\(445\) −17.1827 34.6219i −0.814540 1.64124i
\(446\) −5.47743 7.97219i −0.259364 0.377494i
\(447\) −9.38113 24.8684i −0.443712 1.17623i
\(448\) 9.96743 + 11.0894i 0.470917 + 0.523926i
\(449\) 16.8095i 0.793289i −0.917972 0.396644i \(-0.870175\pi\)
0.917972 0.396644i \(-0.129825\pi\)
\(450\) −12.5830 + 17.0783i −0.593168 + 0.805079i
\(451\) 2.31525 0.109021
\(452\) −6.41298 14.4151i −0.301641 0.678028i
\(453\) −25.9048 21.2270i −1.21712 0.997332i
\(454\) 16.0500 + 23.3602i 0.753263 + 1.09635i
\(455\) −23.5763 + 11.7008i −1.10527 + 0.548544i
\(456\) 20.9402 + 18.1115i 0.980616 + 0.848149i
\(457\) −1.25708 4.69150i −0.0588039 0.219459i 0.930271 0.366873i \(-0.119572\pi\)
−0.989075 + 0.147414i \(0.952905\pi\)
\(458\) 11.3295 + 9.67917i 0.529393 + 0.452278i
\(459\) −15.6659 + 4.79079i −0.731222 + 0.223615i
\(460\) −7.52195 + 9.08548i −0.350713 + 0.423613i
\(461\) −13.4268 7.75196i −0.625348 0.361045i 0.153600 0.988133i \(-0.450913\pi\)
−0.778948 + 0.627088i \(0.784247\pi\)
\(462\) −0.957647 + 11.3089i −0.0445538 + 0.526138i
\(463\) −17.7923 4.76743i −0.826878 0.221561i −0.179527 0.983753i \(-0.557457\pi\)
−0.647351 + 0.762192i \(0.724123\pi\)
\(464\) −3.64175 3.28289i −0.169064 0.152405i
\(465\) 12.9874 13.9581i 0.602277 0.647291i
\(466\) 31.6756 + 15.1142i 1.46735 + 0.700151i
\(467\) −23.8801 + 23.8801i −1.10504 + 1.10504i −0.111248 + 0.993793i \(0.535485\pi\)
−0.993793 + 0.111248i \(0.964515\pi\)
\(468\) 37.7291 3.51290i 1.74403 0.162384i
\(469\) 16.6255 0.767693
\(470\) −3.28503 + 5.89881i −0.151527 + 0.272092i
\(471\) 5.36926 11.8739i 0.247402 0.547122i
\(472\) 0.371510 13.9543i 0.0171001 0.642298i
\(473\) 2.99270 11.1689i 0.137605 0.513548i
\(474\) 10.4493 28.9601i 0.479952 1.33018i
\(475\) −22.5046 17.0880i −1.03258 0.784053i
\(476\) −1.83508 11.6081i −0.0841106 0.532057i
\(477\) −19.6878 + 9.74574i −0.901441 + 0.446227i
\(478\) −13.6902 11.6960i −0.626175 0.534962i
\(479\) 1.52595 2.64302i 0.0697222 0.120762i −0.829057 0.559164i \(-0.811122\pi\)
0.898779 + 0.438402i \(0.144455\pi\)
\(480\) 9.09290 + 19.9329i 0.415032 + 0.909807i
\(481\) 4.90229 + 8.49102i 0.223525 + 0.387157i
\(482\) 4.73510 25.5276i 0.215678 1.16275i
\(483\) 8.40170 + 1.38064i 0.382291 + 0.0628214i
\(484\) 8.99880 + 3.45732i 0.409036 + 0.157151i
\(485\) −16.8978 19.1701i −0.767288 0.870469i
\(486\) −19.6132 10.0660i −0.889671 0.456603i
\(487\) 17.0521 + 17.0521i 0.772703 + 0.772703i 0.978578 0.205876i \(-0.0660042\pi\)
−0.205876 + 0.978578i \(0.566004\pi\)
\(488\) 20.5589 11.1510i 0.930659 0.504780i
\(489\) −13.4692 18.7664i −0.609096 0.848645i
\(490\) 2.71900 10.8142i 0.122832 0.488534i
\(491\) −9.04476 15.6660i −0.408184 0.706996i 0.586502 0.809948i \(-0.300505\pi\)
−0.994686 + 0.102952i \(0.967171\pi\)
\(492\) −2.78413 1.63009i −0.125518 0.0734900i
\(493\) 1.00020 + 3.73281i 0.0450469 + 0.168117i
\(494\) 3.95284 + 50.3193i 0.177847 + 2.26397i
\(495\) −6.31952 + 15.4325i −0.284041 + 0.693638i
\(496\) −6.07393 18.7308i −0.272727 0.841036i
\(497\) 5.86165 + 21.8760i 0.262931 + 0.981271i
\(498\) 19.0574 8.95137i 0.853983 0.401121i
\(499\) −14.6233 + 8.44276i −0.654628 + 0.377950i −0.790227 0.612814i \(-0.790038\pi\)
0.135599 + 0.990764i \(0.456704\pi\)
\(500\) −10.5557 19.7124i −0.472065 0.881563i
\(501\) −4.72255 + 10.4438i −0.210988 + 0.466593i
\(502\) −21.1254 + 7.47742i −0.942871 + 0.333733i
\(503\) 20.1568 20.1568i 0.898749 0.898749i −0.0965765 0.995326i \(-0.530789\pi\)
0.995326 + 0.0965765i \(0.0307892\pi\)
\(504\) 9.11381 12.9249i 0.405961 0.575723i
\(505\) −3.01190 0.189754i −0.134028 0.00844393i
\(506\) −3.99313 + 8.36862i −0.177516 + 0.372031i
\(507\) 36.0170 + 29.5132i 1.59957 + 1.31073i
\(508\) −0.399788 0.0421372i −0.0177377 0.00186953i
\(509\) 18.5029 + 32.0480i 0.820127 + 1.42050i 0.905587 + 0.424160i \(0.139431\pi\)
−0.0854599 + 0.996342i \(0.527236\pi\)
\(510\) 2.53609 17.0810i 0.112300 0.756359i
\(511\) −25.2069 14.5532i −1.11509 0.643795i
\(512\) 22.5553 + 1.80491i 0.996814 + 0.0797663i
\(513\) 13.7844 25.9292i 0.608597 1.14480i
\(514\) 6.65387 0.522695i 0.293489 0.0230551i
\(515\) −3.49478 + 0.704357i −0.153998 + 0.0310377i
\(516\) −11.4624 + 11.3238i −0.504606 + 0.498502i
\(517\) −1.37376 + 5.12695i −0.0604180 + 0.225483i
\(518\) 4.02349 + 0.746317i 0.176782 + 0.0327913i
\(519\) 0.00863048 + 0.0869569i 0.000378836 + 0.00381699i
\(520\) −13.7461 + 37.5021i −0.602806 + 1.64458i
\(521\) 23.4729 1.02837 0.514184 0.857680i \(-0.328095\pi\)
0.514184 + 0.857680i \(0.328095\pi\)
\(522\) −2.53489 + 4.54082i −0.110949 + 0.198746i
\(523\) 3.82420 + 3.82420i 0.167221 + 0.167221i 0.785757 0.618536i \(-0.212274\pi\)
−0.618536 + 0.785757i \(0.712274\pi\)
\(524\) 39.3114 + 15.1034i 1.71733 + 0.659794i
\(525\) −8.44379 + 13.7564i −0.368517 + 0.600380i
\(526\) 2.45379 + 3.57140i 0.106990 + 0.155721i
\(527\) −4.01690 + 14.9913i −0.174979 + 0.653030i
\(528\) 10.7533 + 13.4538i 0.467978 + 0.585500i
\(529\) −13.8943 8.02186i −0.604099 0.348777i
\(530\) −0.358348 23.1534i −0.0155656 1.00572i
\(531\) −14.5171 + 2.91032i −0.629990 + 0.126297i
\(532\) 17.0395 + 12.3875i 0.738754 + 0.537066i
\(533\) −1.52230 5.68131i −0.0659382 0.246085i
\(534\) 7.46852 + 41.6765i 0.323195 + 1.80352i
\(535\) −6.26361 + 18.6066i −0.270799 + 0.804434i
\(536\) 18.3087 17.3591i 0.790815 0.749798i
\(537\) −1.17881 + 7.17349i −0.0508695 + 0.309559i
\(538\) −17.5280 + 6.20413i −0.755687 + 0.267479i
\(539\) 8.76589i 0.377573i
\(540\) 18.4648 14.1085i 0.794600 0.607133i
\(541\) 1.74258i 0.0749194i 0.999298 + 0.0374597i \(0.0119266\pi\)
−0.999298 + 0.0374597i \(0.988073\pi\)
\(542\) −4.44283 12.5520i −0.190836 0.539153i
\(543\) −6.09815 + 37.1094i −0.261697 + 1.59252i
\(544\) −14.1412 10.8673i −0.606299 0.465931i
\(545\) −32.3351 + 16.0478i −1.38508 + 0.687411i
\(546\) 28.3802 5.08580i 1.21456 0.217652i
\(547\) 1.65798 + 6.18765i 0.0708899 + 0.264565i 0.992270 0.124098i \(-0.0396037\pi\)
−0.921380 + 0.388663i \(0.872937\pi\)
\(548\) 3.70287 + 2.69194i 0.158179 + 0.114994i
\(549\) −16.3844 18.6263i −0.699271 0.794953i
\(550\) −11.8263 13.0052i −0.504275 0.554545i
\(551\) −5.99918 3.46363i −0.255574 0.147555i
\(552\) 10.6939 7.25201i 0.455162 0.308666i
\(553\) 6.06317 22.6281i 0.257832 0.962244i
\(554\) 36.8508 25.3190i 1.56564 1.07570i
\(555\) 5.31207 + 2.81698i 0.225485 + 0.119574i
\(556\) 13.7471 35.7811i 0.583005 1.51746i
\(557\) −0.543503 0.543503i −0.0230289 0.0230289i 0.695499 0.718527i \(-0.255184\pi\)
−0.718527 + 0.695499i \(0.755184\pi\)
\(558\) −17.9346 + 10.7029i −0.759231 + 0.453091i
\(559\) −29.3748 −1.24242
\(560\) 8.17390 + 14.5291i 0.345410 + 0.613965i
\(561\) −1.34073 13.5086i −0.0566058 0.570336i
\(562\) −3.72975 + 20.1076i −0.157330 + 0.848187i
\(563\) 10.9747 40.9580i 0.462526 1.72617i −0.202436 0.979295i \(-0.564886\pi\)
0.664963 0.746877i \(-0.268447\pi\)
\(564\) 5.26169 5.19804i 0.221557 0.218877i
\(565\) −3.48508 17.2918i −0.146618 0.727470i
\(566\) 0.00966158 + 0.122991i 0.000406106 + 0.00516970i
\(567\) −15.5167 6.37268i −0.651642 0.267627i
\(568\) 29.2963 + 17.9704i 1.22925 + 0.754023i
\(569\) 20.9343 + 12.0864i 0.877613 + 0.506690i 0.869871 0.493280i \(-0.164202\pi\)
0.00774211 + 0.999970i \(0.497536\pi\)
\(570\) 18.4359 + 24.8650i 0.772195 + 1.04148i
\(571\) −6.54126 11.3298i −0.273743 0.474137i 0.696074 0.717970i \(-0.254928\pi\)
−0.969817 + 0.243833i \(0.921595\pi\)
\(572\) −3.29124 + 31.2265i −0.137614 + 1.30564i
\(573\) 12.1945 + 9.99246i 0.509433 + 0.417441i
\(574\) −2.21555 1.05716i −0.0924754 0.0441251i
\(575\) −10.4215 + 8.08084i −0.434605 + 0.336994i
\(576\) −3.45875 23.7495i −0.144114 0.989561i
\(577\) 14.7673 14.7673i 0.614769 0.614769i −0.329416 0.944185i \(-0.606852\pi\)
0.944185 + 0.329416i \(0.106852\pi\)
\(578\) −3.33160 9.41251i −0.138576 0.391509i
\(579\) 0.0122440 0.0270772i 0.000508844 0.00112529i
\(580\) −3.17379 4.46953i −0.131785 0.185587i
\(581\) 13.8744 8.01039i 0.575607 0.332327i
\(582\) 11.9012 + 25.3376i 0.493321 + 1.05028i
\(583\) −4.71146 17.5834i −0.195129 0.728231i
\(584\) −42.9543 + 10.2925i −1.77746 + 0.425909i
\(585\) 42.0244 + 5.36023i 1.73749 + 0.221618i
\(586\) −2.36764 + 0.185990i −0.0978061 + 0.00768317i
\(587\) 6.82454 + 25.4695i 0.281679 + 1.05124i 0.951232 + 0.308476i \(0.0998188\pi\)
−0.669553 + 0.742764i \(0.733514\pi\)
\(588\) −6.17176 + 10.5412i −0.254519 + 0.434710i
\(589\) −13.9102 24.0932i −0.573160 0.992742i
\(590\) 3.80558 15.1358i 0.156673 0.623131i
\(591\) 0.906105 + 1.26246i 0.0372722 + 0.0519308i
\(592\) 5.21009 3.37916i 0.214133 0.138883i
\(593\) 13.7155 + 13.7155i 0.563229 + 0.563229i 0.930223 0.366994i \(-0.119613\pi\)
−0.366994 + 0.930223i \(0.619613\pi\)
\(594\) 11.3731 14.2958i 0.466644 0.586564i
\(595\) 0.826164 13.1134i 0.0338694 0.537598i
\(596\) −28.6491 11.0069i −1.17351 0.450861i
\(597\) 29.5945 + 4.86324i 1.21122 + 0.199039i
\(598\) 23.1610 + 4.29613i 0.947124 + 0.175682i
\(599\) −10.0286 17.3700i −0.409757 0.709721i 0.585105 0.810958i \(-0.301053\pi\)
−0.994862 + 0.101237i \(0.967720\pi\)
\(600\) 5.06480 + 23.9656i 0.206769 + 0.978390i
\(601\) 3.52325 6.10245i 0.143716 0.248924i −0.785177 0.619272i \(-0.787428\pi\)
0.928893 + 0.370347i \(0.120761\pi\)
\(602\) −7.96366 + 9.32150i −0.324575 + 0.379916i
\(603\) −22.2727 14.8338i −0.907014 0.604078i
\(604\) −38.1977 + 6.03851i −1.55424 + 0.245704i
\(605\) 8.97667 + 5.96521i 0.364954 + 0.242520i
\(606\) 3.10968 + 1.12202i 0.126322 + 0.0455791i
\(607\) 4.18949 15.6354i 0.170046 0.634621i −0.827296 0.561766i \(-0.810122\pi\)
0.997343 0.0728555i \(-0.0232112\pi\)
\(608\) 31.6987 4.14972i 1.28555 0.168293i
\(609\) −1.63039 + 3.60555i −0.0660667 + 0.146104i
\(610\) 25.1502 7.15791i 1.01830 0.289815i
\(611\) 13.4841 0.545509
\(612\) −7.89872 + 17.1884i −0.319287 + 0.694799i
\(613\) −7.67348 + 7.67348i −0.309929 + 0.309929i −0.844882 0.534953i \(-0.820329\pi\)
0.534953 + 0.844882i \(0.320329\pi\)
\(614\) −7.44591 + 15.6048i −0.300493 + 0.629760i
\(615\) −2.64073 2.45709i −0.106484 0.0990793i
\(616\) 9.01683 + 9.51008i 0.363298 + 0.383172i
\(617\) −39.2667 10.5215i −1.58082 0.423579i −0.641640 0.767006i \(-0.721746\pi\)
−0.939180 + 0.343426i \(0.888412\pi\)
\(618\) 3.89139 + 0.329526i 0.156535 + 0.0132555i
\(619\) 5.12129 + 2.95678i 0.205842 + 0.118843i 0.599378 0.800466i \(-0.295415\pi\)
−0.393535 + 0.919309i \(0.628748\pi\)
\(620\) −2.06353 21.9183i −0.0828734 0.880258i
\(621\) −10.0237 9.34588i −0.402236 0.375037i
\(622\) −12.5463 + 14.6855i −0.503063 + 0.588837i
\(623\) 8.33834 + 31.1191i 0.334069 + 1.24676i
\(624\) 25.9433 35.2332i 1.03856 1.41046i
\(625\) −6.71468 24.0814i −0.268587 0.963255i
\(626\) 2.38817 1.64083i 0.0954504 0.0655808i
\(627\) 18.8218 + 15.4230i 0.751672 + 0.615937i
\(628\) −6.11634 13.7483i −0.244069 0.548617i
\(629\) −4.89460 −0.195160
\(630\) 13.0940 11.8824i 0.521678 0.473407i
\(631\) 6.14169i 0.244497i 0.992500 + 0.122248i \(0.0390104\pi\)
−0.992500 + 0.122248i \(0.960990\pi\)
\(632\) −16.9495 31.2497i −0.674216 1.24305i
\(633\) 10.3428 + 27.4176i 0.411089 + 1.08975i
\(634\) −28.2752 + 19.4269i −1.12295 + 0.771541i
\(635\) −0.425964 0.143394i −0.0169039 0.00569040i
\(636\) −6.71426 + 24.4616i −0.266238 + 0.969965i
\(637\) −21.5103 + 5.76367i −0.852270 + 0.228365i
\(638\) −3.27645 2.79918i −0.129716 0.110821i
\(639\) 11.6657 34.5366i 0.461490 1.36625i
\(640\) 24.1716 + 7.46544i 0.955467 + 0.295098i
\(641\) −8.02926 + 13.9071i −0.317137 + 0.549297i −0.979889 0.199542i \(-0.936055\pi\)
0.662753 + 0.748838i \(0.269388\pi\)
\(642\) 12.2864 17.6514i 0.484907 0.696643i
\(643\) −0.153675 + 0.573521i −0.00606033 + 0.0226175i −0.968890 0.247493i \(-0.920393\pi\)
0.962829 + 0.270110i \(0.0870601\pi\)
\(644\) 7.64237 6.18498i 0.301151 0.243722i
\(645\) −15.2666 + 9.56301i −0.601121 + 0.376543i
\(646\) −22.7414 10.8511i −0.894747 0.426932i
\(647\) 1.89951 + 1.89951i 0.0746776 + 0.0746776i 0.743459 0.668781i \(-0.233184\pi\)
−0.668781 + 0.743459i \(0.733184\pi\)
\(648\) −23.7416 + 9.18356i −0.932657 + 0.360764i
\(649\) 12.2690i 0.481600i
\(650\) −24.1372 + 37.5712i −0.946739 + 1.47366i
\(651\) −12.9106 + 9.26630i −0.506007 + 0.363175i
\(652\) −26.5263 2.79584i −1.03885 0.109494i
\(653\) −41.6385 11.1570i −1.62944 0.436607i −0.675685 0.737191i \(-0.736152\pi\)
−0.953756 + 0.300583i \(0.902819\pi\)
\(654\) 38.9237 6.97521i 1.52204 0.272752i
\(655\) 39.2148 + 26.0591i 1.53225 + 1.01821i
\(656\) −3.54367 + 1.14913i −0.138357 + 0.0448658i
\(657\) 20.7841 + 41.9869i 0.810866 + 1.63806i
\(658\) 3.65561 4.27891i 0.142511 0.166809i
\(659\) −0.357115 0.206180i −0.0139112 0.00803165i 0.493028 0.870013i \(-0.335890\pi\)
−0.506939 + 0.861982i \(0.669223\pi\)
\(660\) 8.45533 + 17.3004i 0.329123 + 0.673418i
\(661\) −9.12675 + 5.26933i −0.354990 + 0.204953i −0.666881 0.745165i \(-0.732371\pi\)
0.311891 + 0.950118i \(0.399038\pi\)
\(662\) 4.14318 22.3364i 0.161029 0.868131i
\(663\) −32.2669 + 12.1721i −1.25314 + 0.472724i
\(664\) 6.91523 23.3080i 0.268363 0.904526i
\(665\) 15.5743 + 17.6687i 0.603946 + 0.685162i
\(666\) −4.72428 4.58971i −0.183062 0.177848i
\(667\) −2.28601 + 2.28601i −0.0885148 + 0.0885148i
\(668\) 5.37965 + 12.0924i 0.208145 + 0.467868i
\(669\) 1.17001 + 11.7885i 0.0452351 + 0.455769i
\(670\) 24.2075 14.4803i 0.935218 0.559422i
\(671\) 17.8023 10.2782i 0.687252 0.396785i
\(672\) −4.14719 17.7845i −0.159981 0.686052i
\(673\) 18.5543 4.97162i 0.715217 0.191642i 0.117180 0.993111i \(-0.462614\pi\)
0.598037 + 0.801469i \(0.295948\pi\)
\(674\) 7.81903 0.614225i 0.301178 0.0236591i
\(675\) 23.5858 10.8953i 0.907820 0.419361i
\(676\) 53.1085 8.39570i 2.04264 0.322912i
\(677\) −26.3877 + 7.07056i −1.01416 + 0.271744i −0.727367 0.686248i \(-0.759256\pi\)
−0.286794 + 0.957992i \(0.592590\pi\)
\(678\) −1.63046 + 19.2542i −0.0626173 + 0.739452i
\(679\) 10.6501 + 18.4466i 0.408714 + 0.707914i
\(680\) −12.7823 15.3037i −0.490177 0.586870i
\(681\) −3.42836 34.5426i −0.131375 1.32368i
\(682\) −5.77472 16.3149i −0.221126 0.624729i
\(683\) −7.77187 7.77187i −0.297382 0.297382i 0.542605 0.839988i \(-0.317438\pi\)
−0.839988 + 0.542605i \(0.817438\pi\)
\(684\) −11.7748 31.7983i −0.450221 1.21584i
\(685\) 3.38448 + 3.83961i 0.129314 + 0.146704i
\(686\) −11.9483 + 25.0408i −0.456189 + 0.956061i
\(687\) −6.44143 17.0755i −0.245756 0.651473i
\(688\) 0.962894 + 18.5803i 0.0367100 + 0.708367i
\(689\) −40.0495 + 23.1226i −1.52576 + 0.880900i
\(690\) 13.4358 5.30734i 0.511492 0.202047i
\(691\) −6.39590 + 11.0780i −0.243312 + 0.421428i −0.961656 0.274260i \(-0.911567\pi\)
0.718344 + 0.695688i \(0.244900\pi\)
\(692\) 0.0816146 + 0.0593328i 0.00310252 + 0.00225549i
\(693\) 7.70511 11.5691i 0.292693 0.439474i
\(694\) −8.16101 + 0.641089i −0.309788 + 0.0243354i
\(695\) 23.7189 35.6932i 0.899710 1.35392i
\(696\) 1.96919 + 5.67291i 0.0746420 + 0.215031i
\(697\) 2.83619 + 0.759956i 0.107429 + 0.0287854i
\(698\) −6.04512 + 32.5900i −0.228811 + 1.23355i
\(699\) −25.0638 34.9211i −0.948001 1.32084i
\(700\) 5.37875 + 17.8452i 0.203298 + 0.674486i
\(701\) 47.5661i 1.79655i 0.439437 + 0.898273i \(0.355178\pi\)
−0.439437 + 0.898273i \(0.644822\pi\)
\(702\) −42.5579 18.5084i −1.60624 0.698556i
\(703\) 6.20398 6.20398i 0.233988 0.233988i
\(704\) 19.8594 + 1.05820i 0.748481 + 0.0398824i
\(705\) 7.00793 4.38978i 0.263934 0.165329i
\(706\) 11.8707 8.15599i 0.446761 0.306955i
\(707\) 2.42976 + 0.651052i 0.0913805 + 0.0244853i
\(708\) −8.63818 + 14.7537i −0.324643 + 0.554478i
\(709\) 4.50720 7.80669i 0.169271 0.293187i −0.768893 0.639378i \(-0.779192\pi\)
0.938164 + 0.346191i \(0.112525\pi\)
\(710\) 27.5881 + 26.7472i 1.03536 + 1.00380i
\(711\) −28.3122 + 24.9045i −1.06179 + 0.933990i
\(712\) 41.6748 + 25.5634i 1.56183 + 0.958029i
\(713\) −12.5412 + 3.36041i −0.469672 + 0.125848i
\(714\) −4.88516 + 13.5392i −0.182822 + 0.506690i
\(715\) −11.2001 + 33.2711i −0.418862 + 1.24427i
\(716\) 5.28082 + 6.52516i 0.197354 + 0.243857i
\(717\) 7.78361 + 20.6335i 0.290684 + 0.770573i
\(718\) −38.6495 + 13.6802i −1.44238 + 0.510539i
\(719\) −22.4101 −0.835757 −0.417878 0.908503i \(-0.637226\pi\)
−0.417878 + 0.908503i \(0.637226\pi\)
\(720\) 2.01294 26.7572i 0.0750179 0.997182i
\(721\) 2.97157 0.110667
\(722\) 17.2489 6.10533i 0.641938 0.227217i
\(723\) −20.1540 + 24.5954i −0.749536 + 0.914713i
\(724\) 27.3184 + 33.7555i 1.01528 + 1.25451i
\(725\) −2.37403 5.65032i −0.0881692 0.209848i
\(726\) −7.61435 9.02324i −0.282595 0.334884i
\(727\) 26.1770 7.01411i 0.970852 0.260139i 0.261665 0.965159i \(-0.415729\pi\)
0.709188 + 0.705020i \(0.249062\pi\)
\(728\) 17.4078 28.3791i 0.645175 1.05180i
\(729\) 15.1014 + 22.3818i 0.559313 + 0.828957i
\(730\) −49.3778 + 0.764226i −1.82756 + 0.0282853i
\(731\) 7.33217 12.6997i 0.271190 0.469715i
\(732\) −28.6442 0.174305i −1.05872 0.00644251i
\(733\) −0.910889 0.244072i −0.0336445 0.00901501i 0.241958 0.970287i \(-0.422211\pi\)
−0.275602 + 0.961272i \(0.588877\pi\)
\(734\) −22.0308 + 15.1366i −0.813171 + 0.558702i
\(735\) −9.30291 + 9.99820i −0.343143 + 0.368789i
\(736\) 1.95820 14.7908i 0.0721803 0.545194i
\(737\) 15.6800 15.6800i 0.577582 0.577582i
\(738\) 2.02488 + 3.39304i 0.0745370 + 0.124899i
\(739\) 1.34360i 0.0494250i −0.999695 0.0247125i \(-0.992133\pi\)
0.999695 0.0247125i \(-0.00786703\pi\)
\(740\) 6.50842 2.41766i 0.239254 0.0888751i
\(741\) 25.4705 56.3271i 0.935682 2.06923i
\(742\) −3.52014 + 18.9776i −0.129229 + 0.696688i
\(743\) 36.1760 + 9.69332i 1.32717 + 0.355613i 0.851658 0.524097i \(-0.175597\pi\)
0.475509 + 0.879711i \(0.342264\pi\)
\(744\) −4.54253 + 23.6847i −0.166537 + 0.868325i
\(745\) −28.5786 18.9912i −1.04704 0.695782i
\(746\) −22.1517 + 1.74013i −0.811033 + 0.0637108i
\(747\) −25.7343 1.64788i −0.941568 0.0602929i
\(748\) −12.6787 9.21728i −0.463580 0.337017i
\(749\) 8.18214 14.1719i 0.298969 0.517829i
\(750\) −0.313141 + 27.3843i −0.0114343 + 0.999935i
\(751\) 12.8498 7.41882i 0.468895 0.270716i −0.246882 0.969045i \(-0.579406\pi\)
0.715777 + 0.698329i \(0.246073\pi\)
\(752\) −0.442004 8.52904i −0.0161182 0.311022i
\(753\) 27.0829 + 4.45050i 0.986955 + 0.162185i
\(754\) −4.71451 + 9.88047i −0.171692 + 0.359826i
\(755\) −43.1511 2.71858i −1.57043 0.0989393i
\(756\) −17.4110 + 8.48717i −0.633230 + 0.308675i
\(757\) −0.167994 0.167994i −0.00610584 0.00610584i 0.704047 0.710153i \(-0.251374\pi\)
−0.710153 + 0.704047i \(0.751374\pi\)
\(758\) −9.78631 27.6485i −0.355455 1.00424i
\(759\) 9.22606 6.62180i 0.334885 0.240356i
\(760\) 35.5994 + 3.19595i 1.29133 + 0.115929i
\(761\) −4.19107 7.25915i −0.151926 0.263144i 0.780009 0.625768i \(-0.215214\pi\)
−0.931936 + 0.362624i \(0.881881\pi\)
\(762\) 0.404095 + 0.281275i 0.0146388 + 0.0101895i
\(763\) 29.0636 7.78757i 1.05217 0.281929i
\(764\) 17.9813 2.84259i 0.650540 0.102841i
\(765\) −12.8070 + 16.8306i −0.463038 + 0.608511i
\(766\) −18.3570 + 1.44203i −0.663264 + 0.0521028i
\(767\) −30.1065 + 8.06700i −1.08708 + 0.291282i
\(768\) −23.1363 15.2549i −0.834860 0.550462i
\(769\) −29.8212 + 17.2173i −1.07538 + 0.620870i −0.929646 0.368454i \(-0.879887\pi\)
−0.145733 + 0.989324i \(0.546554\pi\)
\(770\) 7.52149 + 12.5741i 0.271056 + 0.453139i
\(771\) −7.44829 3.36804i −0.268244 0.121297i
\(772\) −0.0139477 0.0313515i −0.000501987 0.00112837i
\(773\) −11.8101 + 11.8101i −0.424780 + 0.424780i −0.886846 0.462066i \(-0.847108\pi\)
0.462066 + 0.886846i \(0.347108\pi\)
\(774\) 18.9856 5.38232i 0.682425 0.193464i
\(775\) 3.08914 24.4191i 0.110965 0.877160i
\(776\) 30.9889 + 9.19407i 1.11244 + 0.330048i
\(777\) −3.87657 3.17655i −0.139071 0.113958i
\(778\) 5.18720 27.9649i 0.185970 1.00259i
\(779\) −4.55818 + 2.63167i −0.163314 + 0.0942893i
\(780\) 36.8934 32.1235i 1.32100 1.15020i
\(781\) 26.1603 + 15.1036i 0.936088 + 0.540451i
\(782\) −7.63852 + 8.94092i −0.273153 + 0.319727i
\(783\) 5.40117 3.37557i 0.193022 0.120633i
\(784\) 4.35077 + 13.4169i 0.155385 + 0.479175i
\(785\) −3.32387 16.4919i −0.118634 0.588622i
\(786\) −33.2634 39.4182i −1.18647 1.40600i
\(787\) 9.50156 + 2.54594i 0.338694 + 0.0907528i 0.424157 0.905589i \(-0.360570\pi\)
−0.0854632 + 0.996341i \(0.527237\pi\)
\(788\) 1.78449 + 0.188084i 0.0635699 + 0.00670020i
\(789\) −0.524143 5.28103i −0.0186600 0.188010i
\(790\) −10.8801 38.2284i −0.387095 1.36011i
\(791\) 14.7030i 0.522777i
\(792\) −3.59440 20.7855i −0.127722 0.738580i
\(793\) −36.9265 36.9265i −1.31130 1.31130i
\(794\) −30.3935 14.5024i −1.07863 0.514671i
\(795\) −13.2868 + 25.0554i −0.471235 + 0.888624i
\(796\) 26.9198 21.7862i 0.954146 0.772192i
\(797\) 10.5775 39.4756i 0.374673 1.39830i −0.479150 0.877733i \(-0.659055\pi\)
0.853823 0.520564i \(-0.174278\pi\)
\(798\) −10.9691 23.3531i −0.388302 0.826692i
\(799\) −3.36573 + 5.82962i −0.119071 + 0.206237i
\(800\) 24.5560 + 14.0358i 0.868185 + 0.496241i
\(801\) 16.5948 49.1292i 0.586349 1.73589i
\(802\) −4.98726 4.26078i −0.176106 0.150453i
\(803\) −37.4991 + 10.0478i −1.32331 + 0.354581i
\(804\) −29.8954 + 7.81577i −1.05433 + 0.275641i
\(805\) 9.84611 4.88659i 0.347030 0.172230i
\(806\) −36.2376 + 24.8976i −1.27641 + 0.876981i
\(807\) 22.4711 + 3.69265i 0.791019 + 0.129987i
\(808\) 3.35553 1.82001i 0.118047 0.0640276i
\(809\) 33.6079i 1.18159i −0.806821 0.590796i \(-0.798814\pi\)
0.806821 0.590796i \(-0.201186\pi\)
\(810\) −28.1435 + 4.23566i −0.988863 + 0.148826i
\(811\) −14.7156 −0.516734 −0.258367 0.966047i \(-0.583184\pi\)
−0.258367 + 0.966047i \(0.583184\pi\)
\(812\) 1.85724 + 4.17470i 0.0651764 + 0.146503i
\(813\) −2.64434 + 16.0917i −0.0927410 + 0.564362i
\(814\) 4.49857 3.09082i 0.157675 0.108333i
\(815\) −28.2631 9.51431i −0.990014 0.333272i
\(816\) 8.75684 + 20.0106i 0.306551 + 0.700512i
\(817\) 6.80342 + 25.3907i 0.238022 + 0.888308i
\(818\) −15.0007 + 17.5583i −0.524486 + 0.613913i
\(819\) −33.4552 11.3005i −1.16902 0.394871i
\(820\) −4.14671 + 0.390399i −0.144809 + 0.0136333i
\(821\) 1.42611 + 0.823366i 0.0497717 + 0.0287357i 0.524679 0.851300i \(-0.324185\pi\)
−0.474908 + 0.880036i \(0.657519\pi\)
\(822\) −2.38371 5.07491i −0.0831415 0.177008i
\(823\) −5.70215 1.52789i −0.198764 0.0532588i 0.158063 0.987429i \(-0.449475\pi\)
−0.356828 + 0.934170i \(0.616142\pi\)
\(824\) 3.27242 3.10269i 0.114000 0.108087i
\(825\) 5.01054 + 20.9378i 0.174445 + 0.728960i
\(826\) −5.60212 + 11.7407i −0.194923 + 0.408511i
\(827\) 26.7124 26.7124i 0.928883 0.928883i −0.0687510 0.997634i \(-0.521901\pi\)
0.997634 + 0.0687510i \(0.0219014\pi\)
\(828\) −15.7567 + 1.46708i −0.547583 + 0.0509847i
\(829\) −44.9068 −1.55968 −0.779839 0.625981i \(-0.784699\pi\)
−0.779839 + 0.625981i \(0.784699\pi\)
\(830\) 13.2250 23.7477i 0.459047 0.824294i
\(831\) −54.4913 + 5.40826i −1.89028 + 0.187610i
\(832\) −10.4611 49.4282i −0.362674 1.71361i
\(833\) 2.87731 10.7383i 0.0996929 0.372059i
\(834\) −35.8783 + 30.2763i −1.24236 + 1.04838i
\(835\) 2.92353 + 14.5055i 0.101173 + 0.501985i
\(836\) 27.7535 4.38744i 0.959877 0.151743i
\(837\) 25.5637 0.894551i 0.883610 0.0309202i
\(838\) −19.8909 + 23.2824i −0.687120 + 0.804276i
\(839\) −8.78049 + 15.2083i −0.303136 + 0.525047i −0.976845 0.213950i \(-0.931367\pi\)
0.673708 + 0.738997i \(0.264700\pi\)
\(840\) −0.191730 20.4162i −0.00661530 0.704427i
\(841\) 13.7488 + 23.8135i 0.474095 + 0.821157i
\(842\) −24.6244 4.56758i −0.848614 0.157409i
\(843\) 15.8749 19.3733i 0.546762 0.667253i
\(844\) 31.5859 + 12.1353i 1.08723 + 0.417713i
\(845\) 59.9956 + 3.77981i 2.06391 + 0.130029i
\(846\) −8.71511 + 2.47069i −0.299632 + 0.0849439i
\(847\) −6.35244 6.35244i −0.218272 0.218272i
\(848\) 15.9384 + 24.5744i 0.547328 + 0.843888i
\(849\) 0.0622553 0.137675i 0.00213660 0.00472501i
\(850\) −10.2185 19.8134i −0.350490 0.679593i
\(851\) −2.04733 3.54608i −0.0701816 0.121558i
\(852\) −20.8243 36.5810i −0.713428 1.25324i
\(853\) 2.31551 + 8.64160i 0.0792815 + 0.295883i 0.994170 0.107824i \(-0.0343883\pi\)
−0.914888 + 0.403707i \(0.867722\pi\)
\(854\) −21.7289 + 1.70691i −0.743547 + 0.0584094i
\(855\) −5.09993 37.5661i −0.174414 1.28473i
\(856\) −5.78671 24.1499i −0.197786 0.825426i
\(857\) 7.48470 + 27.9333i 0.255673 + 0.954183i 0.967715 + 0.252047i \(0.0811037\pi\)
−0.712042 + 0.702136i \(0.752230\pi\)
\(858\) 21.9697 31.5629i 0.750035 1.07754i
\(859\) −10.9886 + 6.34429i −0.374927 + 0.216464i −0.675609 0.737260i \(-0.736119\pi\)
0.300682 + 0.953725i \(0.402786\pi\)
\(860\) −3.47675 + 20.5087i −0.118556 + 0.699340i
\(861\) 1.75309 + 2.44256i 0.0597451 + 0.0832421i
\(862\) 0.783364 + 2.21318i 0.0266815 + 0.0753810i
\(863\) −16.7157 + 16.7157i −0.569010 + 0.569010i −0.931851 0.362841i \(-0.881807\pi\)
0.362841 + 0.931851i \(0.381807\pi\)
\(864\) −10.3120 + 27.5257i −0.350822 + 0.936442i
\(865\) 0.0745969 + 0.0846283i 0.00253637 + 0.00287745i
\(866\) −24.9023 11.8822i −0.846215 0.403775i
\(867\) −1.98294 + 12.0669i −0.0673443 + 0.409814i
\(868\) −1.92344 + 18.2491i −0.0652858 + 0.619416i
\(869\) −15.6229 27.0597i −0.529971 0.917937i
\(870\) 0.766393 + 6.66987i 0.0259831 + 0.226130i
\(871\) −48.7865 28.1669i −1.65307 0.954400i
\(872\) 23.8749 38.9221i 0.808506 1.31807i
\(873\) 2.19093 34.2147i 0.0741516 1.15799i
\(874\) −1.65081 21.0147i −0.0558396 0.710834i
\(875\) 1.52076 + 20.7826i 0.0514112 + 0.702580i
\(876\) 52.1677 + 14.3191i 1.76258 + 0.483797i
\(877\) −0.216497 + 0.807978i −0.00731058 + 0.0272835i −0.969485 0.245151i \(-0.921162\pi\)
0.962174 + 0.272435i \(0.0878290\pi\)
\(878\) −5.22472 + 28.1672i −0.176326 + 0.950596i
\(879\) 2.65031 + 1.19844i 0.0893929 + 0.0404225i
\(880\) 21.4119 + 5.99377i 0.721796 + 0.202050i
\(881\) 22.8509 0.769867 0.384934 0.922944i \(-0.374224\pi\)
0.384934 + 0.922944i \(0.374224\pi\)
\(882\) 12.8466 7.66652i 0.432566 0.258145i
\(883\) 28.9294 + 28.9294i 0.973552 + 0.973552i 0.999659 0.0261071i \(-0.00831110\pi\)
−0.0261071 + 0.999659i \(0.508311\pi\)
\(884\) −14.2816 + 37.1723i −0.480341 + 1.25024i
\(885\) −13.0206 + 13.9938i −0.437683 + 0.470396i
\(886\) 37.0659 25.4667i 1.24525 0.855572i
\(887\) −7.56750 + 28.2423i −0.254092 + 0.948284i 0.714502 + 0.699634i \(0.246654\pi\)
−0.968593 + 0.248650i \(0.920013\pi\)
\(888\) −7.58576 + 0.549476i −0.254561 + 0.0184392i
\(889\) 0.324439 + 0.187315i 0.0108813 + 0.00628234i
\(890\) 39.2448 + 38.0485i 1.31549 + 1.27539i
\(891\) −20.6446 + 8.62407i −0.691622 + 0.288917i
\(892\) 11.0642 + 8.04356i 0.370458 + 0.269318i
\(893\) −3.12302 11.6553i −0.104508 0.390029i
\(894\) 24.2415 + 28.7269i 0.810756 + 0.960771i
\(895\) 4.17224 + 8.40675i 0.139463 + 0.281007i
\(896\) −18.5211 10.0806i −0.618747 0.336770i
\(897\) −22.3152 18.2856i −0.745084 0.610539i
\(898\) 7.93206 + 22.4098i 0.264696 + 0.747826i
\(899\) 6.03410i 0.201248i
\(900\) 8.71631 28.7059i 0.290544 0.956862i
\(901\) 23.0863i 0.769116i
\(902\) −3.08661 + 1.09252i −0.102773 + 0.0363769i
\(903\) 14.0491 5.29977i 0.467525 0.176365i
\(904\) 15.3517 + 16.1915i 0.510591 + 0.538522i
\(905\) 21.5835 + 43.4892i 0.717461 + 1.44563i
\(906\) 44.5520 + 16.0751i 1.48014 + 0.534060i
\(907\) −2.28069 8.51165i −0.0757291 0.282625i 0.917669 0.397347i \(-0.130069\pi\)
−0.993398 + 0.114722i \(0.963402\pi\)
\(908\) −32.4205 23.5693i −1.07591 0.782174i
\(909\) −2.67419 3.04010i −0.0886974 0.100834i
\(910\) 25.9097 26.7243i 0.858899 0.885903i
\(911\) 19.0896 + 11.0214i 0.632467 + 0.365155i 0.781707 0.623646i \(-0.214349\pi\)
−0.149240 + 0.988801i \(0.547683\pi\)
\(912\) −36.4632 14.2644i −1.20742 0.472340i
\(913\) 5.53055 20.6403i 0.183034 0.683093i
\(914\) 3.88972 + 5.66135i 0.128661 + 0.187261i
\(915\) −31.2129 7.16986i −1.03187 0.237028i
\(916\) −19.6715 7.55776i −0.649965 0.249716i
\(917\) −27.7507 27.7507i −0.916410 0.916410i
\(918\) 18.6246 13.7793i 0.614703 0.454786i
\(919\) −25.6149 −0.844959 −0.422479 0.906373i \(-0.638840\pi\)
−0.422479 + 0.906373i \(0.638840\pi\)
\(920\) 5.74074 15.6619i 0.189267 0.516358i
\(921\) 17.2037 12.3476i 0.566880 0.406866i
\(922\) 21.5581 + 3.99881i 0.709979 + 0.131694i
\(923\) 19.8616 74.1246i 0.653753 2.43984i
\(924\) −4.05975 15.5285i −0.133556 0.510851i
\(925\) 7.69083 1.05216i 0.252873 0.0345948i
\(926\) 25.9697 2.04005i 0.853418 0.0670403i
\(927\) −3.98093 2.65133i −0.130751 0.0870810i
\(928\) 6.40419 + 2.65817i 0.210228 + 0.0872587i
\(929\) −1.04635 0.604109i −0.0343296 0.0198202i 0.482737 0.875765i \(-0.339643\pi\)
−0.517067 + 0.855945i \(0.672976\pi\)
\(930\) −10.7278 + 24.7369i −0.351779 + 0.811156i
\(931\) 9.96390 + 17.2580i 0.326554 + 0.565608i
\(932\) −49.3609 5.20259i −1.61687 0.170416i
\(933\) 22.1337 8.34952i 0.724624 0.273351i
\(934\) 20.5676 43.1047i 0.672993 1.41043i
\(935\) −11.5885 13.1469i −0.378986 0.429950i
\(936\) −48.6414 + 22.4869i −1.58990 + 0.735007i
\(937\) 1.14778 1.14778i 0.0374964 0.0374964i −0.688110 0.725606i \(-0.741559\pi\)
0.725606 + 0.688110i \(0.241559\pi\)
\(938\) −22.1645 + 7.84523i −0.723697 + 0.256156i
\(939\) −3.53138 + 0.350490i −0.115242 + 0.0114378i
\(940\) 1.59596 9.41423i 0.0520544 0.307058i
\(941\) −28.3488 + 16.3672i −0.924145 + 0.533555i −0.884955 0.465677i \(-0.845811\pi\)
−0.0391896 + 0.999232i \(0.512478\pi\)
\(942\) −1.55504 + 18.3636i −0.0506659 + 0.598317i
\(943\) 0.635755 + 2.37267i 0.0207030 + 0.0772648i
\(944\) 6.08946 + 18.7787i 0.198195 + 0.611194i
\(945\) −21.0662 + 5.01835i −0.685282 + 0.163247i
\(946\) 1.28062 + 16.3022i 0.0416366 + 0.530031i
\(947\) −3.51631 13.1230i −0.114265 0.426441i 0.884966 0.465655i \(-0.154181\pi\)
−0.999231 + 0.0392139i \(0.987515\pi\)
\(948\) −0.264945 + 43.5394i −0.00860502 + 1.41409i
\(949\) 49.3121 + 85.4111i 1.60074 + 2.77256i
\(950\) 38.0658 + 12.1617i 1.23502 + 0.394578i
\(951\) 41.8105 4.14969i 1.35580 0.134563i
\(952\) 7.92409 + 14.6096i 0.256821 + 0.473500i
\(953\) 29.1929 + 29.1929i 0.945650 + 0.945650i 0.998597 0.0529470i \(-0.0168614\pi\)
−0.0529470 + 0.998597i \(0.516861\pi\)
\(954\) 21.6482 22.2829i 0.700887 0.721437i
\(955\) 20.3131 + 1.27975i 0.657316 + 0.0414118i
\(956\) 23.7704 + 9.13255i 0.768790 + 0.295368i
\(957\) 1.86284 + 4.93819i 0.0602170 + 0.159629i
\(958\) −0.787152 + 4.24364i −0.0254317 + 0.137106i
\(959\) −2.13313 3.69469i −0.0688824 0.119308i
\(960\) −21.5283 22.2830i −0.694822 0.719182i
\(961\) −3.38330 + 5.86005i −0.109139 + 0.189034i
\(962\) −10.5423 9.00664i −0.339898 0.290386i
\(963\) −23.6060 + 11.6853i −0.760693 + 0.376554i
\(964\) 5.73328 + 36.2669i 0.184656 + 1.16808i
\(965\) −0.00757974 0.0376081i −0.000244001 0.00121065i
\(966\) −11.8524 + 2.12397i −0.381343 + 0.0683376i
\(967\) −4.65839 + 17.3853i −0.149804 + 0.559075i 0.849691 + 0.527281i \(0.176789\pi\)
−0.999494 + 0.0317936i \(0.989878\pi\)
\(968\) −13.6283 0.362832i −0.438031 0.0116619i
\(969\) 17.9944 + 25.0714i 0.578065 + 0.805409i
\(970\) 31.5735 + 17.5832i 1.01376 + 0.564562i
\(971\) −0.141873 −0.00455292 −0.00227646 0.999997i \(-0.500725\pi\)
−0.00227646 + 0.999997i \(0.500725\pi\)
\(972\) 30.8975 + 4.16459i 0.991038 + 0.133579i
\(973\) −25.2587 + 25.2587i −0.809755 + 0.809755i
\(974\) −30.7797 14.6867i −0.986246 0.470592i
\(975\) 48.0840 26.0620i 1.53992 0.834653i
\(976\) −22.1465 + 24.5674i −0.708893 + 0.786384i
\(977\) 17.4801 + 4.68379i 0.559239 + 0.149848i 0.527357 0.849644i \(-0.323183\pi\)
0.0318825 + 0.999492i \(0.489850\pi\)
\(978\) 26.8121 + 18.6629i 0.857356 + 0.596773i
\(979\) 37.2136 + 21.4853i 1.18935 + 0.686674i
\(980\) 1.47811 + 15.7001i 0.0472165 + 0.501521i
\(981\) −45.8841 15.4987i −1.46497 0.494835i
\(982\) 19.4506 + 16.6173i 0.620694 + 0.530279i
\(983\) −11.7603 43.8901i −0.375096 1.39988i −0.853205 0.521577i \(-0.825344\pi\)
0.478109 0.878301i \(-0.341323\pi\)
\(984\) 4.48091 + 0.859401i 0.142846 + 0.0273967i
\(985\) 1.90133 + 0.640052i 0.0605815 + 0.0203938i
\(986\) −3.09488 4.50448i −0.0985609 0.143452i
\(987\) −6.44906 + 2.43279i −0.205276 + 0.0774365i
\(988\) −29.0145 65.2187i −0.923073 2.07488i
\(989\) 12.2677 0.390091
\(990\) 1.14269 23.5561i 0.0363171 0.748662i
\(991\) 1.97005i 0.0625806i 0.999510 + 0.0312903i \(0.00996163\pi\)
−0.999510 + 0.0312903i \(0.990038\pi\)
\(992\) 16.9362 + 22.1050i 0.537726 + 0.701836i
\(993\) −17.6346 + 21.5208i −0.559618 + 0.682942i
\(994\) −18.1374 26.3983i −0.575282 0.837302i
\(995\) 34.6823 17.2127i 1.09950 0.545680i
\(996\) −21.1827 + 20.9265i −0.671200 + 0.663081i
\(997\) −49.7351 + 13.3265i −1.57513 + 0.422054i −0.937413 0.348221i \(-0.886786\pi\)
−0.637713 + 0.770274i \(0.720119\pi\)
\(998\) 15.5113 18.1560i 0.491001 0.574719i
\(999\) 2.35912 + 7.71433i 0.0746391 + 0.244071i
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 360.2.bo.a.43.8 272
5.2 odd 4 inner 360.2.bo.a.187.28 yes 272
8.3 odd 2 inner 360.2.bo.a.43.64 yes 272
9.4 even 3 inner 360.2.bo.a.283.38 yes 272
40.27 even 4 inner 360.2.bo.a.187.38 yes 272
45.22 odd 12 inner 360.2.bo.a.67.64 yes 272
72.67 odd 6 inner 360.2.bo.a.283.28 yes 272
360.67 even 12 inner 360.2.bo.a.67.8 yes 272
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
360.2.bo.a.43.8 272 1.1 even 1 trivial
360.2.bo.a.43.64 yes 272 8.3 odd 2 inner
360.2.bo.a.67.8 yes 272 360.67 even 12 inner
360.2.bo.a.67.64 yes 272 45.22 odd 12 inner
360.2.bo.a.187.28 yes 272 5.2 odd 4 inner
360.2.bo.a.187.38 yes 272 40.27 even 4 inner
360.2.bo.a.283.28 yes 272 72.67 odd 6 inner
360.2.bo.a.283.38 yes 272 9.4 even 3 inner