Properties

Label 300.2.r.a.59.32
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
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] = [300,2,Mod(59,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.32
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.32

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.295797 + 1.38293i) q^{2} +(-0.0218271 - 1.73191i) q^{3} +(-1.82501 + 0.818135i) q^{4} +(1.66487 + 1.49272i) q^{5} +(2.38866 - 0.542480i) q^{6} +0.571505 q^{7} +(-1.67126 - 2.28186i) q^{8} +(-2.99905 + 0.0756053i) q^{9} +O(q^{10})\) \(q+(0.295797 + 1.38293i) q^{2} +(-0.0218271 - 1.73191i) q^{3} +(-1.82501 + 0.818135i) q^{4} +(1.66487 + 1.49272i) q^{5} +(2.38866 - 0.542480i) q^{6} +0.571505 q^{7} +(-1.67126 - 2.28186i) q^{8} +(-2.99905 + 0.0756053i) q^{9} +(-1.57187 + 2.74395i) q^{10} +(5.16870 + 3.75528i) q^{11} +(1.45677 + 3.14290i) q^{12} +(1.72686 + 2.37682i) q^{13} +(0.169049 + 0.790353i) q^{14} +(2.54892 - 2.91599i) q^{15} +(2.66131 - 2.98621i) q^{16} +(1.33416 - 4.10613i) q^{17} +(-0.991666 - 4.12512i) q^{18} +(1.41873 + 0.460974i) q^{19} +(-4.25965 - 1.36214i) q^{20} +(-0.0124743 - 0.989797i) q^{21} +(-3.66442 + 8.25877i) q^{22} +(-0.0141869 + 0.0195266i) q^{23} +(-3.91551 + 2.94428i) q^{24} +(0.543582 + 4.97036i) q^{25} +(-2.77618 + 3.09119i) q^{26} +(0.196402 + 5.19244i) q^{27} +(-1.04300 + 0.467568i) q^{28} +(-1.13711 + 0.369470i) q^{29} +(4.78658 + 2.66244i) q^{30} +(-8.64207 - 2.80798i) q^{31} +(4.91693 + 2.79710i) q^{32} +(6.39100 - 9.03371i) q^{33} +(6.07314 + 0.630476i) q^{34} +(0.951481 + 0.853096i) q^{35} +(5.41143 - 2.59161i) q^{36} +(-4.85744 - 6.68569i) q^{37} +(-0.217840 + 2.09837i) q^{38} +(4.07876 - 3.04265i) q^{39} +(0.623751 - 6.29372i) q^{40} +(2.42710 + 3.34061i) q^{41} +(1.36513 - 0.310030i) q^{42} -2.43642 q^{43} +(-12.5052 - 2.62472i) q^{44} +(-5.10588 - 4.35086i) q^{45} +(-0.0312004 - 0.0138436i) q^{46} +(3.48007 - 1.13074i) q^{47} +(-5.22994 - 4.54398i) q^{48} -6.67338 q^{49} +(-6.71289 + 2.22196i) q^{50} +(-7.14058 - 2.22103i) q^{51} +(-5.09610 - 2.92491i) q^{52} +(-1.79918 - 5.53730i) q^{53} +(-7.12270 + 1.80752i) q^{54} +(2.99964 + 13.9675i) q^{55} +(-0.955132 - 1.30410i) q^{56} +(0.767401 - 2.46719i) q^{57} +(-0.847308 - 1.46326i) q^{58} +(4.98956 - 3.62513i) q^{59} +(-2.26612 + 7.40707i) q^{60} +(-8.41374 - 6.11294i) q^{61} +(1.32695 - 12.7820i) q^{62} +(-1.71397 + 0.0432088i) q^{63} +(-2.41379 + 7.62716i) q^{64} +(-0.672926 + 6.53482i) q^{65} +(14.3835 + 6.16619i) q^{66} +(3.09710 - 9.53189i) q^{67} +(0.924511 + 8.58524i) q^{68} +(0.0341280 + 0.0241442i) q^{69} +(-0.898329 + 1.56818i) q^{70} +(-1.01727 - 3.13083i) q^{71} +(5.18470 + 6.71706i) q^{72} +(4.98681 - 6.86375i) q^{73} +(7.80905 - 8.69512i) q^{74} +(8.59637 - 1.04993i) q^{75} +(-2.96634 + 0.319434i) q^{76} +(2.95394 + 2.14616i) q^{77} +(5.41427 + 4.74064i) q^{78} +(-5.80539 + 1.88629i) q^{79} +(8.88830 - 0.999058i) q^{80} +(8.98857 - 0.453488i) q^{81} +(-3.90191 + 4.34465i) q^{82} +(1.19001 + 0.386657i) q^{83} +(0.832553 + 1.79618i) q^{84} +(8.35050 - 4.84464i) q^{85} +(-0.720685 - 3.36940i) q^{86} +(0.664711 + 1.96132i) q^{87} +(-0.0691998 - 18.0703i) q^{88} +(-8.73529 + 12.0231i) q^{89} +(4.50665 - 8.34806i) q^{90} +(0.986910 + 1.35836i) q^{91} +(0.00991580 - 0.0472429i) q^{92} +(-4.67454 + 15.0286i) q^{93} +(2.59314 + 4.47823i) q^{94} +(1.67390 + 2.88523i) q^{95} +(4.73702 - 8.57675i) q^{96} +(9.99435 - 3.24736i) q^{97} +(-1.97397 - 9.22884i) q^{98} +(-15.7851 - 10.8715i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.295797 + 1.38293i 0.209160 + 0.977881i
\(3\) −0.0218271 1.73191i −0.0126019 0.999921i
\(4\) −1.82501 + 0.818135i −0.912504 + 0.409068i
\(5\) 1.66487 + 1.49272i 0.744552 + 0.667564i
\(6\) 2.38866 0.542480i 0.975168 0.221467i
\(7\) 0.571505 0.216009 0.108004 0.994150i \(-0.465554\pi\)
0.108004 + 0.994150i \(0.465554\pi\)
\(8\) −1.67126 2.28186i −0.590879 0.806760i
\(9\) −2.99905 + 0.0756053i −0.999682 + 0.0252018i
\(10\) −1.57187 + 2.74395i −0.497068 + 0.867712i
\(11\) 5.16870 + 3.75528i 1.55842 + 1.13226i 0.937288 + 0.348555i \(0.113328\pi\)
0.621134 + 0.783705i \(0.286672\pi\)
\(12\) 1.45677 + 3.14290i 0.420534 + 0.907277i
\(13\) 1.72686 + 2.37682i 0.478945 + 0.659211i 0.978302 0.207185i \(-0.0664302\pi\)
−0.499357 + 0.866397i \(0.666430\pi\)
\(14\) 0.169049 + 0.790353i 0.0451804 + 0.211231i
\(15\) 2.54892 2.91599i 0.658128 0.752906i
\(16\) 2.66131 2.98621i 0.665327 0.746552i
\(17\) 1.33416 4.10613i 0.323582 0.995882i −0.648495 0.761219i \(-0.724601\pi\)
0.972077 0.234663i \(-0.0753987\pi\)
\(18\) −0.991666 4.12512i −0.233738 0.972300i
\(19\) 1.41873 + 0.460974i 0.325480 + 0.105755i 0.467199 0.884152i \(-0.345263\pi\)
−0.141719 + 0.989907i \(0.545263\pi\)
\(20\) −4.25965 1.36214i −0.952486 0.304583i
\(21\) −0.0124743 0.989797i −0.00272211 0.215991i
\(22\) −3.66442 + 8.25877i −0.781256 + 1.76078i
\(23\) −0.0141869 + 0.0195266i −0.00295817 + 0.00407157i −0.810494 0.585748i \(-0.800801\pi\)
0.807535 + 0.589819i \(0.200801\pi\)
\(24\) −3.91551 + 2.94428i −0.799250 + 0.600999i
\(25\) 0.543582 + 4.97036i 0.108716 + 0.994073i
\(26\) −2.77618 + 3.09119i −0.544454 + 0.606232i
\(27\) 0.196402 + 5.19244i 0.0377976 + 0.999285i
\(28\) −1.04300 + 0.467568i −0.197109 + 0.0883621i
\(29\) −1.13711 + 0.369470i −0.211157 + 0.0686089i −0.412685 0.910874i \(-0.635409\pi\)
0.201529 + 0.979483i \(0.435409\pi\)
\(30\) 4.78658 + 2.66244i 0.873907 + 0.486094i
\(31\) −8.64207 2.80798i −1.55216 0.504328i −0.597461 0.801898i \(-0.703824\pi\)
−0.954700 + 0.297570i \(0.903824\pi\)
\(32\) 4.91693 + 2.79710i 0.869199 + 0.494463i
\(33\) 6.39100 9.03371i 1.11253 1.57257i
\(34\) 6.07314 + 0.630476i 1.04153 + 0.108126i
\(35\) 0.951481 + 0.853096i 0.160830 + 0.144200i
\(36\) 5.41143 2.59161i 0.901905 0.431934i
\(37\) −4.85744 6.68569i −0.798558 1.09912i −0.992989 0.118205i \(-0.962286\pi\)
0.194431 0.980916i \(-0.437714\pi\)
\(38\) −0.217840 + 2.09837i −0.0353383 + 0.340400i
\(39\) 4.07876 3.04265i 0.653124 0.487214i
\(40\) 0.623751 6.29372i 0.0986238 0.995125i
\(41\) 2.42710 + 3.34061i 0.379049 + 0.521716i 0.955332 0.295534i \(-0.0954976\pi\)
−0.576283 + 0.817250i \(0.695498\pi\)
\(42\) 1.36513 0.310030i 0.210645 0.0478387i
\(43\) −2.43642 −0.371550 −0.185775 0.982592i \(-0.559480\pi\)
−0.185775 + 0.982592i \(0.559480\pi\)
\(44\) −12.5052 2.62472i −1.88524 0.395692i
\(45\) −5.10588 4.35086i −0.761140 0.648588i
\(46\) −0.0312004 0.0138436i −0.00460024 0.00204113i
\(47\) 3.48007 1.13074i 0.507620 0.164936i −0.0439995 0.999032i \(-0.514010\pi\)
0.551620 + 0.834096i \(0.314010\pi\)
\(48\) −5.22994 4.54398i −0.754877 0.655867i
\(49\) −6.67338 −0.953340
\(50\) −6.71289 + 2.22196i −0.949346 + 0.314232i
\(51\) −7.14058 2.22103i −0.999881 0.311006i
\(52\) −5.09610 2.92491i −0.706701 0.405612i
\(53\) −1.79918 5.53730i −0.247136 0.760607i −0.995278 0.0970678i \(-0.969054\pi\)
0.748142 0.663539i \(-0.230946\pi\)
\(54\) −7.12270 + 1.80752i −0.969277 + 0.245972i
\(55\) 2.99964 + 13.9675i 0.404471 + 1.88337i
\(56\) −0.955132 1.30410i −0.127635 0.174267i
\(57\) 0.767401 2.46719i 0.101645 0.326787i
\(58\) −0.847308 1.46326i −0.111257 0.192136i
\(59\) 4.98956 3.62513i 0.649586 0.471952i −0.213544 0.976933i \(-0.568501\pi\)
0.863130 + 0.504982i \(0.168501\pi\)
\(60\) −2.26612 + 7.40707i −0.292555 + 0.956249i
\(61\) −8.41374 6.11294i −1.07727 0.782681i −0.100064 0.994981i \(-0.531905\pi\)
−0.977205 + 0.212300i \(0.931905\pi\)
\(62\) 1.32695 12.7820i 0.168523 1.62332i
\(63\) −1.71397 + 0.0432088i −0.215940 + 0.00544380i
\(64\) −2.41379 + 7.62716i −0.301724 + 0.953395i
\(65\) −0.672926 + 6.53482i −0.0834662 + 0.810544i
\(66\) 14.3835 + 6.16619i 1.77048 + 0.759005i
\(67\) 3.09710 9.53189i 0.378371 1.16451i −0.562805 0.826589i \(-0.690278\pi\)
0.941176 0.337916i \(-0.109722\pi\)
\(68\) 0.924511 + 8.58524i 0.112113 + 1.04111i
\(69\) 0.0341280 + 0.0241442i 0.00410853 + 0.00290662i
\(70\) −0.898329 + 1.56818i −0.107371 + 0.187433i
\(71\) −1.01727 3.13083i −0.120727 0.371561i 0.872371 0.488844i \(-0.162581\pi\)
−0.993098 + 0.117283i \(0.962581\pi\)
\(72\) 5.18470 + 6.71706i 0.611023 + 0.791613i
\(73\) 4.98681 6.86375i 0.583662 0.803341i −0.410429 0.911892i \(-0.634621\pi\)
0.994091 + 0.108551i \(0.0346212\pi\)
\(74\) 7.80905 8.69512i 0.907784 1.01079i
\(75\) 8.59637 1.04993i 0.992624 0.121235i
\(76\) −2.96634 + 0.319434i −0.340262 + 0.0366415i
\(77\) 2.95394 + 2.14616i 0.336632 + 0.244578i
\(78\) 5.41427 + 4.74064i 0.613045 + 0.536772i
\(79\) −5.80539 + 1.88629i −0.653158 + 0.212224i −0.616806 0.787115i \(-0.711574\pi\)
−0.0363517 + 0.999339i \(0.511574\pi\)
\(80\) 8.88830 0.999058i 0.993742 0.111698i
\(81\) 8.98857 0.453488i 0.998730 0.0503875i
\(82\) −3.90191 + 4.34465i −0.430894 + 0.479787i
\(83\) 1.19001 + 0.386657i 0.130620 + 0.0424412i 0.373598 0.927591i \(-0.378124\pi\)
−0.242977 + 0.970032i \(0.578124\pi\)
\(84\) 0.832553 + 1.79618i 0.0908390 + 0.195980i
\(85\) 8.35050 4.84464i 0.905739 0.525475i
\(86\) −0.720685 3.36940i −0.0777135 0.363332i
\(87\) 0.664711 + 1.96132i 0.0712645 + 0.210275i
\(88\) −0.0691998 18.0703i −0.00737672 1.92630i
\(89\) −8.73529 + 12.0231i −0.925939 + 1.27445i 0.0354840 + 0.999370i \(0.488703\pi\)
−0.961423 + 0.275075i \(0.911297\pi\)
\(90\) 4.50665 8.34806i 0.475042 0.879963i
\(91\) 0.986910 + 1.35836i 0.103456 + 0.142395i
\(92\) 0.00991580 0.0472429i 0.00103379 0.00492542i
\(93\) −4.67454 + 15.0286i −0.484728 + 1.55839i
\(94\) 2.59314 + 4.47823i 0.267462 + 0.461894i
\(95\) 1.67390 + 2.88523i 0.171739 + 0.296019i
\(96\) 4.73702 8.57675i 0.483470 0.875361i
\(97\) 9.99435 3.24736i 1.01477 0.329719i 0.246019 0.969265i \(-0.420877\pi\)
0.768753 + 0.639546i \(0.220877\pi\)
\(98\) −1.97397 9.22884i −0.199401 0.932254i
\(99\) −15.7851 10.8715i −1.58646 1.09263i
\(100\) −5.05847 8.62623i −0.505847 0.862623i
\(101\) 9.92678i 0.987752i 0.869532 + 0.493876i \(0.164420\pi\)
−0.869532 + 0.493876i \(0.835580\pi\)
\(102\) 0.959371 10.5319i 0.0949918 1.04281i
\(103\) 2.00595 + 6.17369i 0.197652 + 0.608312i 0.999935 + 0.0113677i \(0.00361853\pi\)
−0.802283 + 0.596944i \(0.796381\pi\)
\(104\) 2.53755 7.91274i 0.248827 0.775908i
\(105\) 1.45672 1.66650i 0.142161 0.162634i
\(106\) 7.12553 4.12606i 0.692092 0.400758i
\(107\) 13.1228i 1.26863i −0.773077 0.634313i \(-0.781283\pi\)
0.773077 0.634313i \(-0.218717\pi\)
\(108\) −4.60655 9.31556i −0.443266 0.896390i
\(109\) −5.63848 + 4.09660i −0.540069 + 0.392383i −0.824111 0.566429i \(-0.808325\pi\)
0.284042 + 0.958812i \(0.408325\pi\)
\(110\) −18.4288 + 8.27983i −1.75712 + 0.789451i
\(111\) −11.4730 + 8.55859i −1.08897 + 0.812346i
\(112\) 1.52095 1.70663i 0.143716 0.161262i
\(113\) −2.16481 + 1.57283i −0.203649 + 0.147959i −0.684935 0.728604i \(-0.740170\pi\)
0.481287 + 0.876563i \(0.340170\pi\)
\(114\) 3.63895 + 0.331478i 0.340819 + 0.0310458i
\(115\) −0.0527670 + 0.0113322i −0.00492055 + 0.00105673i
\(116\) 1.77296 1.60460i 0.164616 0.148983i
\(117\) −5.35864 6.99764i −0.495406 0.646932i
\(118\) 6.48921 + 5.82793i 0.597380 + 0.536505i
\(119\) 0.762480 2.34667i 0.0698964 0.215119i
\(120\) −10.9138 0.942910i −0.996289 0.0860755i
\(121\) 9.21415 + 28.3582i 0.837650 + 2.57802i
\(122\) 5.96502 13.4438i 0.540048 1.21715i
\(123\) 5.73267 4.27644i 0.516898 0.385593i
\(124\) 18.0692 1.94580i 1.62266 0.174738i
\(125\) −6.51436 + 9.08642i −0.582662 + 0.812714i
\(126\) −0.566742 2.35753i −0.0504894 0.210025i
\(127\) 0.551340 + 0.400572i 0.0489235 + 0.0355450i 0.611978 0.790875i \(-0.290374\pi\)
−0.563055 + 0.826420i \(0.690374\pi\)
\(128\) −11.2618 1.08202i −0.995416 0.0956380i
\(129\) 0.0531799 + 4.21966i 0.00468223 + 0.371521i
\(130\) −9.23626 + 1.00237i −0.810074 + 0.0879135i
\(131\) −4.86770 + 14.9812i −0.425293 + 1.30892i 0.477421 + 0.878675i \(0.341572\pi\)
−0.902714 + 0.430241i \(0.858428\pi\)
\(132\) −4.27284 + 21.7153i −0.371903 + 1.89007i
\(133\) 0.810813 + 0.263449i 0.0703064 + 0.0228439i
\(134\) 14.0981 + 1.46358i 1.21789 + 0.126434i
\(135\) −7.42387 + 8.93791i −0.638945 + 0.769253i
\(136\) −11.5993 + 3.81803i −0.994636 + 0.327393i
\(137\) −1.09148 + 0.793004i −0.0932512 + 0.0677509i −0.633434 0.773797i \(-0.718355\pi\)
0.540183 + 0.841548i \(0.318355\pi\)
\(138\) −0.0232949 + 0.0543385i −0.00198299 + 0.00462560i
\(139\) 7.62410 10.4937i 0.646668 0.890062i −0.352281 0.935894i \(-0.614594\pi\)
0.998949 + 0.0458321i \(0.0145939\pi\)
\(140\) −2.43441 0.778467i −0.205745 0.0657925i
\(141\) −2.03431 6.00250i −0.171320 0.505501i
\(142\) 4.02882 2.33290i 0.338091 0.195773i
\(143\) 18.7699i 1.56962i
\(144\) −7.75562 + 9.15698i −0.646302 + 0.763082i
\(145\) −2.44466 1.08227i −0.203018 0.0898776i
\(146\) 10.9672 + 4.86614i 0.907651 + 0.402725i
\(147\) 0.145661 + 11.5577i 0.0120139 + 0.953265i
\(148\) 14.3347 + 8.22740i 1.17830 + 0.676288i
\(149\) 15.2344i 1.24805i −0.781403 0.624027i \(-0.785496\pi\)
0.781403 0.624027i \(-0.214504\pi\)
\(150\) 3.99476 + 11.5776i 0.326171 + 0.945311i
\(151\) 7.90033i 0.642920i −0.946923 0.321460i \(-0.895826\pi\)
0.946923 0.321460i \(-0.104174\pi\)
\(152\) −1.31919 4.00776i −0.107000 0.325072i
\(153\) −3.69077 + 12.4153i −0.298381 + 1.00372i
\(154\) −2.09423 + 4.71993i −0.168758 + 0.380343i
\(155\) −10.1964 17.5751i −0.818994 1.41167i
\(156\) −4.95446 + 8.88984i −0.396674 + 0.711757i
\(157\) 7.37427i 0.588531i −0.955724 0.294265i \(-0.904925\pi\)
0.955724 0.294265i \(-0.0950750\pi\)
\(158\) −4.32583 7.47051i −0.344144 0.594322i
\(159\) −9.55085 + 3.23688i −0.757432 + 0.256702i
\(160\) 4.01076 + 11.9964i 0.317079 + 0.948399i
\(161\) −0.00810787 + 0.0111595i −0.000638990 + 0.000879494i
\(162\) 3.28594 + 12.2964i 0.258167 + 0.966100i
\(163\) −14.5917 + 10.6015i −1.14291 + 0.830375i −0.987523 0.157478i \(-0.949664\pi\)
−0.155391 + 0.987853i \(0.549664\pi\)
\(164\) −7.16254 4.11095i −0.559301 0.321011i
\(165\) 24.1250 5.49998i 1.87813 0.428173i
\(166\) −0.182720 + 1.76008i −0.0141818 + 0.136608i
\(167\) −9.34074 3.03499i −0.722808 0.234855i −0.0755678 0.997141i \(-0.524077\pi\)
−0.647240 + 0.762286i \(0.724077\pi\)
\(168\) −2.23773 + 1.68267i −0.172645 + 0.129821i
\(169\) 1.34999 4.15485i 0.103846 0.319604i
\(170\) 9.16986 + 10.1151i 0.703296 + 0.775797i
\(171\) −4.28970 1.27522i −0.328042 0.0975185i
\(172\) 4.44648 1.99332i 0.339041 0.151989i
\(173\) 10.1333 + 7.36225i 0.770418 + 0.559741i 0.902088 0.431552i \(-0.142034\pi\)
−0.131670 + 0.991294i \(0.542034\pi\)
\(174\) −2.51575 + 1.49940i −0.190719 + 0.113669i
\(175\) 0.310660 + 2.84059i 0.0234837 + 0.214728i
\(176\) 24.9696 5.44084i 1.88215 0.410119i
\(177\) −6.38732 8.56237i −0.480100 0.643587i
\(178\) −19.2110 8.52392i −1.43993 0.638895i
\(179\) −3.15823 9.72002i −0.236057 0.726509i −0.996979 0.0776659i \(-0.975253\pi\)
0.760922 0.648843i \(-0.224747\pi\)
\(180\) 12.8779 + 3.76306i 0.959859 + 0.280482i
\(181\) −7.00003 + 21.5439i −0.520308 + 1.60134i 0.253104 + 0.967439i \(0.418548\pi\)
−0.773412 + 0.633904i \(0.781452\pi\)
\(182\) −1.58660 + 1.76663i −0.117607 + 0.130951i
\(183\) −10.4034 + 14.7053i −0.769044 + 1.08705i
\(184\) 0.0682669 0.000261426i 0.00503270 1.92726e-5i
\(185\) 1.89285 18.3816i 0.139165 1.35144i
\(186\) −22.1663 2.01916i −1.62531 0.148052i
\(187\) 22.3155 16.2132i 1.63187 1.18563i
\(188\) −5.42605 + 4.91078i −0.395736 + 0.358156i
\(189\) 0.112245 + 2.96750i 0.00816461 + 0.215854i
\(190\) −3.49495 + 3.16834i −0.253550 + 0.229855i
\(191\) 9.57476 6.95647i 0.692805 0.503353i −0.184776 0.982781i \(-0.559156\pi\)
0.877581 + 0.479428i \(0.159156\pi\)
\(192\) 13.2623 + 4.01400i 0.957122 + 0.289685i
\(193\) 0.806872i 0.0580799i 0.999578 + 0.0290400i \(0.00924501\pi\)
−0.999578 + 0.0290400i \(0.990755\pi\)
\(194\) 7.44718 + 12.8610i 0.534676 + 0.923363i
\(195\) 11.3324 + 1.02281i 0.811532 + 0.0732452i
\(196\) 12.1790 5.45973i 0.869927 0.389981i
\(197\) 5.69341 + 17.5225i 0.405638 + 1.24843i 0.920361 + 0.391070i \(0.127895\pi\)
−0.514723 + 0.857357i \(0.672105\pi\)
\(198\) 10.3654 25.0455i 0.736633 1.77991i
\(199\) 11.0655i 0.784415i 0.919877 + 0.392208i \(0.128289\pi\)
−0.919877 + 0.392208i \(0.871711\pi\)
\(200\) 10.4332 9.54714i 0.737740 0.675085i
\(201\) −16.5760 5.15585i −1.16918 0.363666i
\(202\) −13.7281 + 2.93631i −0.965904 + 0.206598i
\(203\) −0.649866 + 0.211154i −0.0456116 + 0.0148201i
\(204\) 14.8487 1.78856i 1.03962 0.125225i
\(205\) −0.945794 + 9.18465i −0.0660571 + 0.641484i
\(206\) −7.94444 + 4.60026i −0.553516 + 0.320515i
\(207\) 0.0410708 0.0596337i 0.00285462 0.00414483i
\(208\) 11.6934 + 1.16869i 0.810791 + 0.0810342i
\(209\) 5.60192 + 7.71038i 0.387493 + 0.533338i
\(210\) 2.73556 + 1.52160i 0.188771 + 0.105000i
\(211\) 13.6581 18.7988i 0.940264 1.29416i −0.0154551 0.999881i \(-0.504920\pi\)
0.955719 0.294281i \(-0.0950803\pi\)
\(212\) 7.81378 + 8.63365i 0.536652 + 0.592961i
\(213\) −5.40012 + 1.83016i −0.370010 + 0.125400i
\(214\) 18.1479 3.88167i 1.24057 0.265346i
\(215\) −4.05632 3.63689i −0.276638 0.248034i
\(216\) 11.5202 9.12607i 0.783850 0.620950i
\(217\) −4.93899 1.60477i −0.335280 0.108939i
\(218\) −7.33317 6.58588i −0.496665 0.446052i
\(219\) −11.9963 8.48690i −0.810633 0.573492i
\(220\) −16.9016 23.0366i −1.13951 1.55313i
\(221\) 12.0634 3.91965i 0.811475 0.263664i
\(222\) −15.2296 13.3348i −1.02215 0.894974i
\(223\) −4.01422 2.91650i −0.268812 0.195303i 0.445211 0.895426i \(-0.353129\pi\)
−0.714023 + 0.700122i \(0.753129\pi\)
\(224\) 2.81005 + 1.59856i 0.187754 + 0.106808i
\(225\) −2.00601 14.8653i −0.133734 0.991017i
\(226\) −2.81546 2.52855i −0.187282 0.168197i
\(227\) −2.33225 + 3.21007i −0.154797 + 0.213060i −0.879371 0.476137i \(-0.842037\pi\)
0.724574 + 0.689197i \(0.242037\pi\)
\(228\) 0.617978 + 5.13047i 0.0409266 + 0.339774i
\(229\) −5.31601 16.3610i −0.351292 1.08116i −0.958129 0.286338i \(-0.907562\pi\)
0.606837 0.794826i \(-0.292438\pi\)
\(230\) −0.0312799 0.0696212i −0.00206254 0.00459068i
\(231\) 3.65249 5.16281i 0.240316 0.339688i
\(232\) 2.74349 + 1.97725i 0.180119 + 0.129813i
\(233\) 3.62305 11.1506i 0.237354 0.730501i −0.759446 0.650570i \(-0.774530\pi\)
0.996800 0.0799309i \(-0.0254700\pi\)
\(234\) 8.09220 9.48052i 0.529003 0.619761i
\(235\) 7.48174 + 3.31222i 0.488055 + 0.216066i
\(236\) −6.14015 + 10.6980i −0.399690 + 0.696383i
\(237\) 3.39360 + 10.0133i 0.220438 + 0.650431i
\(238\) 3.47083 + 0.360320i 0.224980 + 0.0233561i
\(239\) 17.3488 + 12.6046i 1.12220 + 0.815326i 0.984541 0.175154i \(-0.0560424\pi\)
0.137658 + 0.990480i \(0.456042\pi\)
\(240\) −1.92429 15.3720i −0.124212 0.992256i
\(241\) 16.3429 11.8738i 1.05274 0.764858i 0.0800062 0.996794i \(-0.474506\pi\)
0.972731 + 0.231936i \(0.0745060\pi\)
\(242\) −36.4920 + 21.1308i −2.34580 + 1.35834i
\(243\) −0.981596 15.5575i −0.0629694 0.998015i
\(244\) 20.3563 + 4.27259i 1.30318 + 0.273524i
\(245\) −11.1103 9.96148i −0.709812 0.636416i
\(246\) 7.60973 + 6.66295i 0.485179 + 0.424814i
\(247\) 1.35430 + 4.16811i 0.0861722 + 0.265211i
\(248\) 8.03571 + 24.4129i 0.510268 + 1.55022i
\(249\) 0.643683 2.06943i 0.0407917 0.131145i
\(250\) −14.4928 6.32119i −0.916608 0.399787i
\(251\) 0.126327 0.00797366 0.00398683 0.999992i \(-0.498731\pi\)
0.00398683 + 0.999992i \(0.498731\pi\)
\(252\) 3.09266 1.48112i 0.194819 0.0933015i
\(253\) −0.146655 + 0.0476513i −0.00922015 + 0.00299581i
\(254\) −0.390879 + 0.880954i −0.0245259 + 0.0552760i
\(255\) −8.57276 14.3566i −0.536847 0.899045i
\(256\) −1.83486 15.8944i −0.114679 0.993403i
\(257\) −23.6075 −1.47260 −0.736299 0.676656i \(-0.763428\pi\)
−0.736299 + 0.676656i \(0.763428\pi\)
\(258\) −5.81978 + 1.32171i −0.362324 + 0.0822860i
\(259\) −2.77605 3.82091i −0.172495 0.237420i
\(260\) −4.11827 12.4766i −0.255404 0.773768i
\(261\) 3.38232 1.19403i 0.209360 0.0739087i
\(262\) −22.1579 2.30029i −1.36892 0.142113i
\(263\) 6.23673 + 8.58413i 0.384573 + 0.529320i 0.956789 0.290783i \(-0.0939159\pi\)
−0.572215 + 0.820103i \(0.693916\pi\)
\(264\) −31.2947 + 0.514270i −1.92606 + 0.0316512i
\(265\) 5.27024 11.9046i 0.323748 0.731291i
\(266\) −0.124496 + 1.19923i −0.00763337 + 0.0735294i
\(267\) 21.0136 + 14.8663i 1.28601 + 0.909805i
\(268\) 2.14614 + 19.9296i 0.131097 + 1.21740i
\(269\) 18.3932 + 5.97632i 1.12145 + 0.364383i 0.810323 0.585984i \(-0.199292\pi\)
0.311132 + 0.950367i \(0.399292\pi\)
\(270\) −14.5565 7.62290i −0.885880 0.463915i
\(271\) −9.62907 + 3.12868i −0.584924 + 0.190053i −0.586505 0.809945i \(-0.699497\pi\)
0.00158099 + 0.999999i \(0.499497\pi\)
\(272\) −8.71113 14.9118i −0.528190 0.904158i
\(273\) 2.33103 1.73889i 0.141080 0.105242i
\(274\) −1.41953 1.27487i −0.0857568 0.0770178i
\(275\) −15.8555 + 27.7316i −0.956123 + 1.67228i
\(276\) −0.0820371 0.0161421i −0.00493805 0.000971642i
\(277\) 0.984629 1.35523i 0.0591606 0.0814276i −0.778412 0.627754i \(-0.783974\pi\)
0.837572 + 0.546327i \(0.183974\pi\)
\(278\) 16.7672 + 7.43963i 1.00563 + 0.446199i
\(279\) 26.1303 + 7.76787i 1.56438 + 0.465050i
\(280\) 0.356477 3.59689i 0.0213036 0.214955i
\(281\) 6.69110 + 2.17407i 0.399158 + 0.129694i 0.501715 0.865033i \(-0.332703\pi\)
−0.102557 + 0.994727i \(0.532703\pi\)
\(282\) 7.69931 4.58883i 0.458487 0.273261i
\(283\) 0.0631316 0.194299i 0.00375278 0.0115499i −0.949163 0.314786i \(-0.898067\pi\)
0.952915 + 0.303236i \(0.0980672\pi\)
\(284\) 4.41796 + 4.88152i 0.262158 + 0.289665i
\(285\) 4.96044 2.96203i 0.293831 0.175455i
\(286\) −25.9576 + 5.55209i −1.53490 + 0.328302i
\(287\) 1.38710 + 1.90918i 0.0818778 + 0.112695i
\(288\) −14.9576 8.01690i −0.881384 0.472400i
\(289\) −1.32700 0.964124i −0.0780590 0.0567132i
\(290\) 0.773583 3.70093i 0.0454264 0.217326i
\(291\) −5.84229 17.2385i −0.342481 1.01054i
\(292\) −3.48549 + 16.6063i −0.203973 + 0.971809i
\(293\) −12.9095 −0.754182 −0.377091 0.926176i \(-0.623076\pi\)
−0.377091 + 0.926176i \(0.623076\pi\)
\(294\) −15.9405 + 3.62018i −0.929667 + 0.211133i
\(295\) 13.7183 + 1.41265i 0.798709 + 0.0822474i
\(296\) −7.13779 + 22.2575i −0.414876 + 1.29369i
\(297\) −18.4839 + 27.5757i −1.07255 + 1.60011i
\(298\) 21.0682 4.50630i 1.22045 0.261043i
\(299\) −0.0709099 −0.00410083
\(300\) −14.8295 + 8.94912i −0.856180 + 0.516678i
\(301\) −1.39242 −0.0802580
\(302\) 10.9256 2.33689i 0.628699 0.134473i
\(303\) 17.1923 0.216673i 0.987673 0.0124475i
\(304\) 5.15225 3.00984i 0.295502 0.172626i
\(305\) −4.88288 22.7366i −0.279593 1.30189i
\(306\) −18.2613 1.43167i −1.04393 0.0818429i
\(307\) −16.8845 −0.963647 −0.481823 0.876268i \(-0.660025\pi\)
−0.481823 + 0.876268i \(0.660025\pi\)
\(308\) −7.14681 1.50004i −0.407227 0.0854728i
\(309\) 10.6485 3.60889i 0.605773 0.205303i
\(310\) 21.2891 19.2996i 1.20914 1.09614i
\(311\) 9.58877 + 6.96665i 0.543729 + 0.395043i 0.825468 0.564449i \(-0.190911\pi\)
−0.281739 + 0.959491i \(0.590911\pi\)
\(312\) −13.7596 4.22210i −0.778982 0.239029i
\(313\) −11.9954 16.5102i −0.678019 0.933213i 0.321889 0.946777i \(-0.395682\pi\)
−0.999908 + 0.0135646i \(0.995682\pi\)
\(314\) 10.1981 2.18129i 0.575513 0.123097i
\(315\) −2.91804 2.48654i −0.164413 0.140101i
\(316\) 9.05165 8.19208i 0.509195 0.460841i
\(317\) 5.62883 17.3238i 0.316147 0.972999i −0.659133 0.752026i \(-0.729077\pi\)
0.975280 0.220973i \(-0.0709233\pi\)
\(318\) −7.30151 12.2507i −0.409448 0.686987i
\(319\) −7.26486 2.36050i −0.406754 0.132162i
\(320\) −15.4039 + 9.09512i −0.861102 + 0.508433i
\(321\) −22.7275 + 0.286432i −1.26852 + 0.0159871i
\(322\) −0.0178312 0.00791169i −0.000993692 0.000440901i
\(323\) 3.78564 5.21049i 0.210639 0.289919i
\(324\) −16.0332 + 8.18148i −0.890733 + 0.454527i
\(325\) −10.8750 + 9.87513i −0.603235 + 0.547773i
\(326\) −18.9774 17.0435i −1.05106 0.943952i
\(327\) 7.21802 + 9.67595i 0.399158 + 0.535081i
\(328\) 3.56651 11.1213i 0.196928 0.614072i
\(329\) 1.98888 0.646225i 0.109650 0.0356275i
\(330\) 14.7422 + 31.7363i 0.811531 + 1.74703i
\(331\) 13.5418 + 4.40001i 0.744327 + 0.241847i 0.656538 0.754293i \(-0.272020\pi\)
0.0877887 + 0.996139i \(0.472020\pi\)
\(332\) −2.48811 + 0.267935i −0.136553 + 0.0147049i
\(333\) 15.0732 + 19.6835i 0.826004 + 1.07865i
\(334\) 1.43422 13.8154i 0.0784773 0.755943i
\(335\) 19.3847 11.2463i 1.05910 0.614449i
\(336\) −2.98894 2.59691i −0.163060 0.141673i
\(337\) 10.1859 + 14.0198i 0.554864 + 0.763705i 0.990662 0.136340i \(-0.0435339\pi\)
−0.435798 + 0.900044i \(0.643534\pi\)
\(338\) 6.14521 + 0.637958i 0.334255 + 0.0347003i
\(339\) 2.77126 + 3.71494i 0.150514 + 0.201768i
\(340\) −11.2762 + 15.6733i −0.611536 + 0.850006i
\(341\) −34.1235 46.9670i −1.84789 2.54341i
\(342\) 0.494664 6.30958i 0.0267483 0.341183i
\(343\) −7.81441 −0.421938
\(344\) 4.07188 + 5.55957i 0.219541 + 0.299752i
\(345\) 0.0207781 + 0.0911405i 0.00111865 + 0.00490684i
\(346\) −7.18410 + 16.1914i −0.386220 + 0.870453i
\(347\) −7.16370 + 2.32763i −0.384568 + 0.124954i −0.494919 0.868939i \(-0.664802\pi\)
0.110351 + 0.993893i \(0.464802\pi\)
\(348\) −2.81772 3.03560i −0.151046 0.162725i
\(349\) −29.9877 −1.60521 −0.802604 0.596513i \(-0.796553\pi\)
−0.802604 + 0.596513i \(0.796553\pi\)
\(350\) −3.83645 + 1.26986i −0.205067 + 0.0678768i
\(351\) −12.0023 + 9.43344i −0.640637 + 0.503520i
\(352\) 14.9102 + 32.9218i 0.794719 + 1.75474i
\(353\) 5.71654 + 17.5937i 0.304261 + 0.936419i 0.979952 + 0.199234i \(0.0638454\pi\)
−0.675691 + 0.737185i \(0.736155\pi\)
\(354\) 9.95183 11.3660i 0.528934 0.604094i
\(355\) 2.97983 6.73091i 0.158153 0.357240i
\(356\) 6.10546 29.0889i 0.323589 1.54171i
\(357\) −4.08087 1.26933i −0.215983 0.0671800i
\(358\) 12.5079 7.24277i 0.661066 0.382792i
\(359\) −10.7589 + 7.81678i −0.567832 + 0.412554i −0.834317 0.551285i \(-0.814138\pi\)
0.266485 + 0.963839i \(0.414138\pi\)
\(360\) −1.39482 + 18.9223i −0.0735135 + 0.997294i
\(361\) −13.5710 9.85992i −0.714264 0.518943i
\(362\) −31.8643 3.30796i −1.67475 0.173862i
\(363\) 48.9129 16.5771i 2.56726 0.870071i
\(364\) −2.91244 1.67160i −0.152654 0.0876157i
\(365\) 18.5480 3.98335i 0.970848 0.208498i
\(366\) −23.4137 10.0375i −1.22386 0.524667i
\(367\) −1.95631 + 6.02092i −0.102119 + 0.314289i −0.989043 0.147625i \(-0.952837\pi\)
0.886925 + 0.461914i \(0.152837\pi\)
\(368\) 0.0205547 + 0.0943312i 0.00107149 + 0.00491735i
\(369\) −7.53154 9.83515i −0.392077 0.511997i
\(370\) 25.9804 2.81953i 1.35066 0.146581i
\(371\) −1.02824 3.16459i −0.0533835 0.164298i
\(372\) −3.76435 31.2517i −0.195172 1.62033i
\(373\) 8.27640 11.3915i 0.428536 0.589829i −0.539080 0.842254i \(-0.681228\pi\)
0.967616 + 0.252425i \(0.0812281\pi\)
\(374\) 29.0226 + 26.0651i 1.50072 + 1.34779i
\(375\) 15.8791 + 11.0840i 0.819992 + 0.572374i
\(376\) −8.39629 6.05127i −0.433006 0.312071i
\(377\) −2.84180 2.06469i −0.146360 0.106337i
\(378\) −4.07066 + 1.03301i −0.209372 + 0.0531321i
\(379\) −5.02371 + 1.63230i −0.258051 + 0.0838458i −0.435185 0.900341i \(-0.643317\pi\)
0.177135 + 0.984187i \(0.443317\pi\)
\(380\) −5.41539 3.89610i −0.277804 0.199865i
\(381\) 0.681721 0.963616i 0.0349256 0.0493675i
\(382\) 12.4525 + 11.1836i 0.637126 + 0.572200i
\(383\) −16.8153 5.46361i −0.859219 0.279177i −0.153917 0.988084i \(-0.549189\pi\)
−0.705302 + 0.708907i \(0.749189\pi\)
\(384\) −1.62815 + 19.5282i −0.0830862 + 0.996542i
\(385\) 1.71431 + 7.98248i 0.0873691 + 0.406825i
\(386\) −1.11585 + 0.238670i −0.0567953 + 0.0121480i
\(387\) 7.30693 0.184206i 0.371432 0.00936372i
\(388\) −15.5830 + 14.1032i −0.791106 + 0.715981i
\(389\) 3.77356 5.19386i 0.191327 0.263339i −0.702567 0.711618i \(-0.747963\pi\)
0.893894 + 0.448279i \(0.147963\pi\)
\(390\) 1.93761 + 15.9745i 0.0981149 + 0.808902i
\(391\) 0.0612510 + 0.0843047i 0.00309759 + 0.00426347i
\(392\) 11.1529 + 15.2277i 0.563309 + 0.769117i
\(393\) 26.0524 + 8.10343i 1.31417 + 0.408764i
\(394\) −22.5484 + 13.0567i −1.13597 + 0.657787i
\(395\) −12.4809 5.52540i −0.627983 0.278013i
\(396\) 37.7023 + 6.92620i 1.89461 + 0.348055i
\(397\) 23.7613 7.72051i 1.19254 0.387481i 0.355531 0.934664i \(-0.384300\pi\)
0.837013 + 0.547183i \(0.184300\pi\)
\(398\) −15.3029 + 3.27315i −0.767065 + 0.164068i
\(399\) 0.438573 1.41001i 0.0219561 0.0705887i
\(400\) 16.2892 + 11.6044i 0.814459 + 0.580222i
\(401\) 9.88161i 0.493464i 0.969084 + 0.246732i \(0.0793567\pi\)
−0.969084 + 0.246732i \(0.920643\pi\)
\(402\) 2.22707 24.4486i 0.111076 1.21939i
\(403\) −8.24959 25.3896i −0.410942 1.26475i
\(404\) −8.12145 18.1165i −0.404057 0.901328i
\(405\) 15.6417 + 12.6624i 0.777243 + 0.629200i
\(406\) −0.484240 0.836262i −0.0240324 0.0415030i
\(407\) 52.7974i 2.61707i
\(408\) 6.86567 + 20.0057i 0.339901 + 0.990431i
\(409\) 4.17728 3.03497i 0.206553 0.150070i −0.479700 0.877433i \(-0.659254\pi\)
0.686253 + 0.727363i \(0.259254\pi\)
\(410\) −12.9815 + 1.40882i −0.641112 + 0.0695768i
\(411\) 1.39724 + 1.87303i 0.0689207 + 0.0923900i
\(412\) −8.71179 9.62589i −0.429199 0.474234i
\(413\) 2.85156 2.07178i 0.140316 0.101946i
\(414\) 0.0946180 + 0.0391587i 0.00465022 + 0.00192455i
\(415\) 1.40404 + 2.42008i 0.0689216 + 0.118797i
\(416\) 1.84265 + 16.5169i 0.0903433 + 0.809806i
\(417\) −18.3406 12.9752i −0.898141 0.635400i
\(418\) −9.00591 + 10.0278i −0.440494 + 0.490475i
\(419\) 0.814332 2.50625i 0.0397827 0.122439i −0.929193 0.369595i \(-0.879496\pi\)
0.968975 + 0.247157i \(0.0794963\pi\)
\(420\) −1.29510 + 4.23318i −0.0631945 + 0.206558i
\(421\) 5.25352 + 16.1687i 0.256041 + 0.788012i 0.993623 + 0.112755i \(0.0359675\pi\)
−0.737582 + 0.675257i \(0.764033\pi\)
\(422\) 30.0375 + 13.3276i 1.46220 + 0.648779i
\(423\) −10.3514 + 3.65426i −0.503302 + 0.177676i
\(424\) −9.62847 + 13.3597i −0.467600 + 0.648806i
\(425\) 21.1342 + 4.39925i 1.02516 + 0.213395i
\(426\) −4.12832 6.92665i −0.200018 0.335597i
\(427\) −4.80849 3.49357i −0.232699 0.169066i
\(428\) 10.7362 + 23.9492i 0.518954 + 1.15763i
\(429\) 32.5079 0.409693i 1.56950 0.0197802i
\(430\) 3.82972 6.68539i 0.184686 0.322398i
\(431\) −1.46991 + 4.52393i −0.0708032 + 0.217910i −0.980196 0.198028i \(-0.936546\pi\)
0.909393 + 0.415937i \(0.136546\pi\)
\(432\) 16.0284 + 13.2322i 0.771166 + 0.636634i
\(433\) 22.8496 + 7.42429i 1.09808 + 0.356789i 0.801365 0.598176i \(-0.204108\pi\)
0.296718 + 0.954965i \(0.404108\pi\)
\(434\) 0.758357 7.30497i 0.0364023 0.350650i
\(435\) −1.82104 + 4.25756i −0.0873121 + 0.204134i
\(436\) 6.93871 12.0894i 0.332304 0.578976i
\(437\) −0.0291287 + 0.0211632i −0.00139341 + 0.00101237i
\(438\) 8.18835 19.1004i 0.391255 0.912654i
\(439\) −12.8074 + 17.6279i −0.611265 + 0.841335i −0.996681 0.0814086i \(-0.974058\pi\)
0.385415 + 0.922743i \(0.374058\pi\)
\(440\) 26.8587 30.1880i 1.28044 1.43916i
\(441\) 20.0138 0.504543i 0.953038 0.0240259i
\(442\) 8.98894 + 15.5235i 0.427560 + 0.738378i
\(443\) 4.33324i 0.205878i −0.994688 0.102939i \(-0.967175\pi\)
0.994688 0.102939i \(-0.0328247\pi\)
\(444\) 13.9363 25.0060i 0.661386 1.18673i
\(445\) −32.4902 + 6.97755i −1.54018 + 0.330768i
\(446\) 2.84593 6.41409i 0.134759 0.303716i
\(447\) −26.3847 + 0.332523i −1.24795 + 0.0157278i
\(448\) −1.37949 + 4.35896i −0.0651750 + 0.205942i
\(449\) 2.83535i 0.133809i −0.997759 0.0669043i \(-0.978688\pi\)
0.997759 0.0669043i \(-0.0213122\pi\)
\(450\) 19.9643 7.17128i 0.941125 0.338057i
\(451\) 26.3811i 1.24224i
\(452\) 2.66402 4.64154i 0.125305 0.218319i
\(453\) −13.6827 + 0.172441i −0.642869 + 0.00810200i
\(454\) −5.12918 2.27582i −0.240724 0.106809i
\(455\) −0.384580 + 3.73468i −0.0180294 + 0.175084i
\(456\) −6.91230 + 2.37220i −0.323698 + 0.111088i
\(457\) 24.8353i 1.16174i 0.813995 + 0.580872i \(0.197288\pi\)
−0.813995 + 0.580872i \(0.802712\pi\)
\(458\) 21.0537 12.1912i 0.983774 0.569658i
\(459\) 21.5828 + 6.12110i 1.00740 + 0.285708i
\(460\) 0.0870289 0.0638518i 0.00405774 0.00297711i
\(461\) 2.65120 3.64907i 0.123479 0.169954i −0.742802 0.669511i \(-0.766504\pi\)
0.866281 + 0.499557i \(0.166504\pi\)
\(462\) 8.22022 + 3.52401i 0.382439 + 0.163952i
\(463\) −12.2189 + 8.87753i −0.567859 + 0.412574i −0.834327 0.551270i \(-0.814143\pi\)
0.266468 + 0.963844i \(0.414143\pi\)
\(464\) −1.92289 + 4.37893i −0.0892682 + 0.203287i
\(465\) −30.2160 + 18.0429i −1.40123 + 0.836719i
\(466\) 16.4922 + 1.71212i 0.763988 + 0.0793125i
\(467\) 30.6627 + 9.96291i 1.41890 + 0.461028i 0.915252 0.402881i \(-0.131991\pi\)
0.503647 + 0.863909i \(0.331991\pi\)
\(468\) 15.5046 + 8.38666i 0.716699 + 0.387673i
\(469\) 1.77001 5.44752i 0.0817313 0.251543i
\(470\) −2.36751 + 11.3265i −0.109205 + 0.522452i
\(471\) −12.7716 + 0.160959i −0.588484 + 0.00741660i
\(472\) −16.6109 5.32697i −0.764579 0.245194i
\(473\) −12.5931 9.14943i −0.579032 0.420691i
\(474\) −12.8439 + 7.65501i −0.589938 + 0.351606i
\(475\) −1.52001 + 7.30220i −0.0697430 + 0.335048i
\(476\) 0.528363 + 4.90651i 0.0242175 + 0.224889i
\(477\) 5.81447 + 16.4706i 0.266226 + 0.754137i
\(478\) −12.2996 + 27.7206i −0.562572 + 1.26791i
\(479\) −2.77236 8.53244i −0.126672 0.389857i 0.867530 0.497385i \(-0.165706\pi\)
−0.994202 + 0.107528i \(0.965706\pi\)
\(480\) 20.6892 7.20814i 0.944328 0.329005i
\(481\) 7.50257 23.0905i 0.342088 1.05284i
\(482\) 21.2548 + 19.0889i 0.968131 + 0.869474i
\(483\) 0.0195043 + 0.0137986i 0.000887477 + 0.000627856i
\(484\) −40.0168 44.2156i −1.81894 2.00980i
\(485\) 21.4867 + 9.51232i 0.975660 + 0.431932i
\(486\) 21.2247 5.95935i 0.962770 0.270322i
\(487\) −27.1630 + 19.7351i −1.23087 + 0.894282i −0.996955 0.0779738i \(-0.975155\pi\)
−0.233919 + 0.972256i \(0.575155\pi\)
\(488\) 0.112645 + 29.4153i 0.00509920 + 1.33157i
\(489\) 18.6794 + 25.0402i 0.844712 + 1.13236i
\(490\) 10.4897 18.3114i 0.473875 0.827225i
\(491\) −8.80114 + 6.39440i −0.397190 + 0.288575i −0.768395 0.639975i \(-0.778945\pi\)
0.371206 + 0.928551i \(0.378945\pi\)
\(492\) −6.96347 + 12.4946i −0.313938 + 0.563302i
\(493\) 5.16206i 0.232488i
\(494\) −5.36362 + 3.10583i −0.241321 + 0.139738i
\(495\) −10.0521 41.6623i −0.451807 1.87258i
\(496\) −31.3844 + 18.3341i −1.40920 + 0.823226i
\(497\) −0.581373 1.78928i −0.0260782 0.0802603i
\(498\) 3.05229 + 0.278038i 0.136776 + 0.0124592i
\(499\) 36.8000i 1.64739i 0.567031 + 0.823696i \(0.308092\pi\)
−0.567031 + 0.823696i \(0.691908\pi\)
\(500\) 4.45484 21.9124i 0.199227 0.979953i
\(501\) −5.05246 + 16.2436i −0.225727 + 0.725710i
\(502\) 0.0373670 + 0.174701i 0.00166777 + 0.00779729i
\(503\) −30.1117 + 9.78388i −1.34261 + 0.436242i −0.890201 0.455567i \(-0.849437\pi\)
−0.452413 + 0.891809i \(0.649437\pi\)
\(504\) 2.96308 + 3.83883i 0.131986 + 0.170995i
\(505\) −14.8179 + 16.5268i −0.659388 + 0.735433i
\(506\) −0.109279 0.188720i −0.00485803 0.00838961i
\(507\) −7.22531 2.24738i −0.320887 0.0998098i
\(508\) −1.33392 0.279976i −0.0591832 0.0124219i
\(509\) −10.2980 14.1740i −0.456452 0.628252i 0.517316 0.855794i \(-0.326931\pi\)
−0.973768 + 0.227542i \(0.926931\pi\)
\(510\) 17.3184 16.1022i 0.766872 0.713017i
\(511\) 2.84998 3.92267i 0.126076 0.173529i
\(512\) 21.4382 7.23902i 0.947444 0.319922i
\(513\) −2.11494 + 7.45722i −0.0933769 + 0.329244i
\(514\) −6.98304 32.6477i −0.308009 1.44003i
\(515\) −5.87593 + 13.2727i −0.258924 + 0.584866i
\(516\) −3.54931 7.65741i −0.156250 0.337099i
\(517\) 22.2337 + 7.22417i 0.977837 + 0.317718i
\(518\) 4.46291 4.96931i 0.196089 0.218339i
\(519\) 12.5296 17.7106i 0.549988 0.777410i
\(520\) 16.0362 9.38584i 0.703233 0.411596i
\(521\) −17.5685 + 5.70837i −0.769692 + 0.250088i −0.667433 0.744670i \(-0.732607\pi\)
−0.102259 + 0.994758i \(0.532607\pi\)
\(522\) 2.65175 + 4.32433i 0.116064 + 0.189271i
\(523\) 11.3725 + 8.26263i 0.497286 + 0.361300i 0.807979 0.589211i \(-0.200561\pi\)
−0.310693 + 0.950510i \(0.600561\pi\)
\(524\) −3.37308 31.3233i −0.147354 1.36836i
\(525\) 4.91287 0.600037i 0.214415 0.0261878i
\(526\) −10.0265 + 11.1641i −0.437175 + 0.486780i
\(527\) −23.0598 + 31.7391i −1.00450 + 1.38258i
\(528\) −9.96808 43.1264i −0.433805 1.87683i
\(529\) 7.10721 + 21.8737i 0.309009 + 0.951032i
\(530\) 18.0221 + 3.76705i 0.782831 + 0.163630i
\(531\) −14.6899 + 11.2492i −0.637486 + 0.488173i
\(532\) −1.69528 + 0.182558i −0.0734996 + 0.00791489i
\(533\) −3.74878 + 11.5375i −0.162378 + 0.499747i
\(534\) −14.3434 + 33.4578i −0.620699 + 1.44786i
\(535\) 19.5886 21.8477i 0.846889 0.944558i
\(536\) −26.9265 + 8.86310i −1.16305 + 0.382827i
\(537\) −16.7653 + 5.68194i −0.723476 + 0.245194i
\(538\) −2.82419 + 27.2044i −0.121759 + 1.17286i
\(539\) −34.4927 25.0604i −1.48571 1.07943i
\(540\) 6.23620 22.3855i 0.268363 0.963318i
\(541\) 12.5133 9.09146i 0.537989 0.390872i −0.285348 0.958424i \(-0.592109\pi\)
0.823338 + 0.567552i \(0.192109\pi\)
\(542\) −7.17500 12.3909i −0.308193 0.532235i
\(543\) 37.4649 + 11.6532i 1.60777 + 0.500087i
\(544\) 18.0452 16.4578i 0.773683 0.705621i
\(545\) −15.5024 1.59637i −0.664050 0.0683809i
\(546\) 3.09428 + 2.70930i 0.132423 + 0.115947i
\(547\) −11.2529 34.6330i −0.481140 1.48080i −0.837494 0.546447i \(-0.815980\pi\)
0.356353 0.934351i \(-0.384020\pi\)
\(548\) 1.34317 2.34021i 0.0573774 0.0999690i
\(549\) 25.6954 + 17.6969i 1.09665 + 0.755284i
\(550\) −43.0410 13.7242i −1.83527 0.585200i
\(551\) −1.78358 −0.0759829
\(552\) −0.00194284 0.118227i −8.26926e−5 0.00503206i
\(553\) −3.31781 + 1.07802i −0.141088 + 0.0458421i
\(554\) 2.16544 + 0.960804i 0.0920006 + 0.0408207i
\(555\) −31.8766 2.87704i −1.35309 0.122124i
\(556\) −5.32880 + 25.3886i −0.225992 + 1.07672i
\(557\) −20.0422 −0.849217 −0.424609 0.905377i \(-0.639588\pi\)
−0.424609 + 0.905377i \(0.639588\pi\)
\(558\) −3.01319 + 38.4341i −0.127559 + 1.62705i
\(559\) −4.20735 5.79093i −0.177952 0.244930i
\(560\) 5.07971 0.570967i 0.214657 0.0241277i
\(561\) −28.5669 38.2947i −1.20610 1.61680i
\(562\) −1.02739 + 9.89643i −0.0433377 + 0.417456i
\(563\) −24.7307 34.0389i −1.04227 1.43457i −0.895320 0.445424i \(-0.853053\pi\)
−0.146954 0.989143i \(-0.546947\pi\)
\(564\) 8.62348 + 9.29027i 0.363114 + 0.391191i
\(565\) −5.95192 0.612902i −0.250399 0.0257850i
\(566\) 0.287377 + 0.0298337i 0.0120793 + 0.00125400i
\(567\) 5.13701 0.259170i 0.215734 0.0108841i
\(568\) −5.44400 + 7.55369i −0.228425 + 0.316946i
\(569\) 15.1642 + 4.92713i 0.635715 + 0.206556i 0.609105 0.793090i \(-0.291529\pi\)
0.0266098 + 0.999646i \(0.491529\pi\)
\(570\) 5.56357 + 5.98379i 0.233032 + 0.250633i
\(571\) 16.0674 5.22061i 0.672399 0.218476i 0.0471346 0.998889i \(-0.484991\pi\)
0.625265 + 0.780413i \(0.284991\pi\)
\(572\) −15.3563 34.2553i −0.642081 1.43228i
\(573\) −12.2570 16.4308i −0.512043 0.686407i
\(574\) −2.22996 + 2.48299i −0.0930769 + 0.103638i
\(575\) −0.104766 0.0598997i −0.00436904 0.00249799i
\(576\) 6.66242 23.0567i 0.277601 0.960696i
\(577\) 5.49519 7.56348i 0.228768 0.314872i −0.679167 0.733984i \(-0.737659\pi\)
0.907934 + 0.419112i \(0.137659\pi\)
\(578\) 0.940795 2.12034i 0.0391319 0.0881946i
\(579\) 1.39743 0.0176117i 0.0580753 0.000731916i
\(580\) 5.34697 0.0249113i 0.222021 0.00103439i
\(581\) 0.680096 + 0.220977i 0.0282151 + 0.00916765i
\(582\) 22.1115 13.1786i 0.916551 0.546270i
\(583\) 11.4947 35.3771i 0.476062 1.46517i
\(584\) −23.9964 + 0.0918935i −0.992977 + 0.00380258i
\(585\) 1.52407 19.6491i 0.0630125 0.812390i
\(586\) −3.81860 17.8530i −0.157745 0.737501i
\(587\) 20.7312 + 28.5341i 0.855669 + 1.17773i 0.982585 + 0.185814i \(0.0594923\pi\)
−0.126916 + 0.991914i \(0.540508\pi\)
\(588\) −9.72161 20.9738i −0.400912 0.864943i
\(589\) −10.9664 7.96755i −0.451862 0.328297i
\(590\) 2.10423 + 19.3893i 0.0866298 + 0.798245i
\(591\) 30.2232 10.2430i 1.24322 0.421339i
\(592\) −32.8920 3.28738i −1.35185 0.135110i
\(593\) 12.8806 0.528943 0.264471 0.964394i \(-0.414803\pi\)
0.264471 + 0.964394i \(0.414803\pi\)
\(594\) −43.6029 17.4052i −1.78905 0.714145i
\(595\) 4.77235 2.76873i 0.195647 0.113507i
\(596\) 12.4638 + 27.8030i 0.510538 + 1.13885i
\(597\) 19.1646 0.241529i 0.784353 0.00988511i
\(598\) −0.0209749 0.0980637i −0.000857729 0.00401012i
\(599\) 36.9742 1.51073 0.755363 0.655307i \(-0.227461\pi\)
0.755363 + 0.655307i \(0.227461\pi\)
\(600\) −16.7625 17.8610i −0.684328 0.729174i
\(601\) 27.0515 1.10345 0.551727 0.834025i \(-0.313969\pi\)
0.551727 + 0.834025i \(0.313969\pi\)
\(602\) −0.411875 1.92563i −0.0167868 0.0784828i
\(603\) −8.56768 + 28.8207i −0.348903 + 1.17367i
\(604\) 6.46354 + 14.4182i 0.262998 + 0.586667i
\(605\) −26.9905 + 60.9669i −1.09732 + 2.47866i
\(606\) 5.38508 + 23.7117i 0.218754 + 0.963224i
\(607\) −14.4568 −0.586784 −0.293392 0.955992i \(-0.594784\pi\)
−0.293392 + 0.955992i \(0.594784\pi\)
\(608\) 5.68642 + 6.23492i 0.230615 + 0.252860i
\(609\) 0.379885 + 1.12090i 0.0153937 + 0.0454212i
\(610\) 29.9988 13.4781i 1.21462 0.545713i
\(611\) 8.69717 + 6.31886i 0.351850 + 0.255634i
\(612\) −3.42174 25.6776i −0.138316 1.03796i
\(613\) −22.5580 31.0485i −0.911111 1.25404i −0.966786 0.255587i \(-0.917731\pi\)
0.0556752 0.998449i \(-0.482269\pi\)
\(614\) −4.99437 23.3501i −0.201556 0.942332i
\(615\) 15.9277 + 1.43756i 0.642266 + 0.0579680i
\(616\) −0.0395480 10.3273i −0.00159344 0.416098i
\(617\) 3.55803 10.9505i 0.143241 0.440851i −0.853540 0.521028i \(-0.825549\pi\)
0.996781 + 0.0801774i \(0.0255487\pi\)
\(618\) 8.14065 + 13.6587i 0.327465 + 0.549433i
\(619\) 15.0405 + 4.88696i 0.604529 + 0.196423i 0.595259 0.803534i \(-0.297049\pi\)
0.00926970 + 0.999957i \(0.497049\pi\)
\(620\) 32.9873 + 23.7327i 1.32480 + 0.953127i
\(621\) −0.104177 0.0698295i −0.00418047 0.00280216i
\(622\) −6.79808 + 15.3213i −0.272578 + 0.614330i
\(623\) −4.99226 + 6.87126i −0.200011 + 0.275291i
\(624\) 1.76884 20.2774i 0.0708102 0.811748i
\(625\) −24.4090 + 5.40360i −0.976362 + 0.216144i
\(626\) 19.2843 21.4725i 0.770757 0.858213i
\(627\) 13.2314 9.87034i 0.528413 0.394183i
\(628\) 6.03315 + 13.4581i 0.240749 + 0.537037i
\(629\) −33.9329 + 11.0255i −1.35299 + 0.439614i
\(630\) 2.57557 4.77096i 0.102613 0.190080i
\(631\) 44.0511 + 14.3131i 1.75365 + 0.569794i 0.996511 0.0834632i \(-0.0265981\pi\)
0.757136 + 0.653258i \(0.226598\pi\)
\(632\) 14.0066 + 10.0946i 0.557151 + 0.401543i
\(633\) −32.8560 23.2444i −1.30591 0.923880i
\(634\) 25.6226 + 2.65998i 1.01760 + 0.105641i
\(635\) 0.319968 + 1.48989i 0.0126975 + 0.0591247i
\(636\) 14.7822 13.7212i 0.586152 0.544082i
\(637\) −11.5240 15.8614i −0.456598 0.628453i
\(638\) 1.11548 10.7450i 0.0441624 0.425400i
\(639\) 3.28754 + 9.31259i 0.130053 + 0.368400i
\(640\) −17.1344 18.6122i −0.677295 0.735712i
\(641\) 10.1925 + 14.0288i 0.402580 + 0.554103i 0.961389 0.275193i \(-0.0887416\pi\)
−0.558809 + 0.829296i \(0.688742\pi\)
\(642\) −7.11884 31.3459i −0.280958 1.23712i
\(643\) −21.5302 −0.849067 −0.424534 0.905412i \(-0.639562\pi\)
−0.424534 + 0.905412i \(0.639562\pi\)
\(644\) 0.00566693 0.0269996i 0.000223308 0.00106393i
\(645\) −6.21023 + 7.10457i −0.244528 + 0.279742i
\(646\) 8.32553 + 3.69404i 0.327564 + 0.145340i
\(647\) −46.1953 + 15.0098i −1.81613 + 0.590095i −0.816202 + 0.577766i \(0.803925\pi\)
−0.999924 + 0.0123293i \(0.996075\pi\)
\(648\) −16.0570 19.7528i −0.630779 0.775962i
\(649\) 39.4030 1.54670
\(650\) −16.8734 12.1183i −0.661830 0.475320i
\(651\) −2.67152 + 8.58892i −0.104705 + 0.336626i
\(652\) 17.9566 31.2859i 0.703234 1.22525i
\(653\) −5.26384 16.2004i −0.205990 0.633972i −0.999671 0.0256382i \(-0.991838\pi\)
0.793681 0.608334i \(-0.208162\pi\)
\(654\) −11.2461 + 12.8442i −0.439758 + 0.502247i
\(655\) −30.4668 + 17.6757i −1.19044 + 0.690646i
\(656\) 16.4350 + 1.64259i 0.641679 + 0.0641324i
\(657\) −14.4367 + 20.9617i −0.563231 + 0.817795i
\(658\) 1.48199 + 2.55933i 0.0577740 + 0.0997731i
\(659\) 2.94376 2.13876i 0.114672 0.0833144i −0.528971 0.848640i \(-0.677422\pi\)
0.643643 + 0.765325i \(0.277422\pi\)
\(660\) −39.5286 + 29.7750i −1.53865 + 1.15899i
\(661\) −1.35816 0.986760i −0.0528262 0.0383805i 0.561059 0.827776i \(-0.310394\pi\)
−0.613885 + 0.789395i \(0.710394\pi\)
\(662\) −2.07928 + 20.0290i −0.0808137 + 0.778448i
\(663\) −7.05180 20.8073i −0.273869 0.808088i
\(664\) −1.10651 3.36164i −0.0429411 0.130457i
\(665\) 0.956643 + 1.64892i 0.0370970 + 0.0639425i
\(666\) −22.7623 + 26.6675i −0.882022 + 1.03334i
\(667\) 0.00891760 0.0274455i 0.000345291 0.00106270i
\(668\) 19.5300 2.10310i 0.755637 0.0813716i
\(669\) −4.96351 + 7.01593i −0.191900 + 0.271252i
\(670\) 21.2868 + 23.4811i 0.822379 + 0.907155i
\(671\) −20.5323 63.1919i −0.792640 2.43950i
\(672\) 2.70723 4.90166i 0.104434 0.189085i
\(673\) −5.49326 + 7.56082i −0.211749 + 0.291448i −0.901659 0.432447i \(-0.857650\pi\)
0.689910 + 0.723895i \(0.257650\pi\)
\(674\) −16.3754 + 18.2335i −0.630757 + 0.702328i
\(675\) −25.7016 + 3.79871i −0.989253 + 0.146212i
\(676\) 0.935482 + 8.68712i 0.0359801 + 0.334120i
\(677\) 32.2423 + 23.4254i 1.23917 + 0.900312i 0.997543 0.0700565i \(-0.0223179\pi\)
0.241630 + 0.970368i \(0.422318\pi\)
\(678\) −4.31778 + 4.93133i −0.165823 + 0.189387i
\(679\) 5.71182 1.85588i 0.219199 0.0712222i
\(680\) −25.0106 10.9580i −0.959114 0.420222i
\(681\) 5.61046 + 3.96919i 0.214993 + 0.152100i
\(682\) 54.8586 61.0833i 2.10064 2.33900i
\(683\) 48.0114 + 15.5999i 1.83711 + 0.596912i 0.998650 + 0.0519431i \(0.0165415\pi\)
0.838456 + 0.544969i \(0.183459\pi\)
\(684\) 8.87204 1.18227i 0.339231 0.0452051i
\(685\) −3.00090 0.309019i −0.114658 0.0118070i
\(686\) −2.31148 10.8068i −0.0882526 0.412606i
\(687\) −28.2198 + 9.56397i −1.07665 + 0.364888i
\(688\) −6.48406 + 7.27564i −0.247202 + 0.277381i
\(689\) 10.0542 13.8385i 0.383036 0.527204i
\(690\) −0.119895 + 0.0556938i −0.00456433 + 0.00212023i
\(691\) 8.48987 + 11.6853i 0.322970 + 0.444530i 0.939371 0.342902i \(-0.111410\pi\)
−0.616401 + 0.787432i \(0.711410\pi\)
\(692\) −24.5166 5.14578i −0.931981 0.195613i
\(693\) −9.02126 6.21311i −0.342689 0.236016i
\(694\) −5.33796 9.21842i −0.202626 0.349926i
\(695\) 28.3572 6.08996i 1.07565 0.231005i
\(696\) 3.36455 4.79464i 0.127533 0.181741i
\(697\) 16.9551 5.50905i 0.642221 0.208670i
\(698\) −8.87029 41.4710i −0.335745 1.56970i
\(699\) −19.3910 6.03143i −0.733434 0.228130i
\(700\) −2.89094 4.92993i −0.109267 0.186334i
\(701\) 43.4844i 1.64238i 0.570654 + 0.821191i \(0.306690\pi\)
−0.570654 + 0.821191i \(0.693310\pi\)
\(702\) −16.5961 13.8080i −0.626378 0.521151i
\(703\) −3.80948 11.7244i −0.143677 0.442193i
\(704\) −41.1183 + 30.3581i −1.54970 + 1.14416i
\(705\) 5.57318 13.0300i 0.209898 0.490739i
\(706\) −22.6400 + 13.1098i −0.852067 + 0.493393i
\(707\) 5.67320i 0.213363i
\(708\) 18.6621 + 10.4007i 0.701364 + 0.390882i
\(709\) −9.97446 + 7.24687i −0.374599 + 0.272162i −0.759115 0.650956i \(-0.774368\pi\)
0.384517 + 0.923118i \(0.374368\pi\)
\(710\) 10.1898 + 2.12992i 0.382417 + 0.0799344i
\(711\) 17.2680 6.09598i 0.647602 0.228617i
\(712\) 42.0340 0.160968i 1.57529 0.00603253i
\(713\) 0.177434 0.128913i 0.00664496 0.00482785i
\(714\) 0.548285 6.01904i 0.0205190 0.225257i
\(715\) −28.0182 + 31.2495i −1.04782 + 1.16866i
\(716\) 13.7161 + 15.1553i 0.512594 + 0.566379i
\(717\) 21.4514 30.3217i 0.801119 1.13238i
\(718\) −13.9925 12.5666i −0.522196 0.468982i
\(719\) −14.0336 + 43.1910i −0.523365 + 1.61075i 0.244162 + 0.969735i \(0.421487\pi\)
−0.767527 + 0.641017i \(0.778513\pi\)
\(720\) −26.5809 + 3.66822i −0.990612 + 0.136707i
\(721\) 1.14641 + 3.52829i 0.0426946 + 0.131401i
\(722\) 9.62134 21.6843i 0.358069 0.807008i
\(723\) −20.9211 28.0453i −0.778064 1.04302i
\(724\) −4.85069 45.0447i −0.180274 1.67407i
\(725\) −2.45452 5.45103i −0.0911584 0.202446i
\(726\) 37.3933 + 62.7398i 1.38779 + 2.32849i
\(727\) 3.07375 + 2.23321i 0.113999 + 0.0828251i 0.643324 0.765594i \(-0.277555\pi\)
−0.529325 + 0.848419i \(0.677555\pi\)
\(728\) 1.45022 4.52217i 0.0537487 0.167603i
\(729\) −26.9229 + 2.03961i −0.997143 + 0.0755413i
\(730\) 10.9952 + 24.4724i 0.406949 + 0.905765i
\(731\) −3.25057 + 10.0042i −0.120227 + 0.370020i
\(732\) 6.95543 35.3487i 0.257080 1.30652i
\(733\) −25.6744 8.34213i −0.948307 0.308124i −0.206280 0.978493i \(-0.566136\pi\)
−0.742028 + 0.670369i \(0.766136\pi\)
\(734\) −8.90520 0.924482i −0.328697 0.0341233i
\(735\) −17.0099 + 19.4595i −0.627420 + 0.717775i
\(736\) −0.124374 + 0.0563286i −0.00458448 + 0.00207630i
\(737\) 51.8029 37.6370i 1.90818 1.38638i
\(738\) 11.3735 13.3248i 0.418666 0.490494i
\(739\) 1.81401 2.49677i 0.0667293 0.0918451i −0.774348 0.632760i \(-0.781922\pi\)
0.841077 + 0.540915i \(0.181922\pi\)
\(740\) 11.5842 + 35.0952i 0.425842 + 1.29012i
\(741\) 7.18925 2.43651i 0.264104 0.0895075i
\(742\) 4.07227 2.35806i 0.149498 0.0865673i
\(743\) 22.1453i 0.812431i −0.913777 0.406216i \(-0.866848\pi\)
0.913777 0.406216i \(-0.133152\pi\)
\(744\) 42.1056 14.4500i 1.54367 0.529763i
\(745\) 22.7407 25.3633i 0.833156 0.929241i
\(746\) 18.2018 + 8.07614i 0.666416 + 0.295689i
\(747\) −3.59813 1.06963i −0.131649 0.0391358i
\(748\) −27.4615 + 47.8463i −1.00409 + 1.74944i
\(749\) 7.49972i 0.274034i
\(750\) −10.6314 + 25.2383i −0.388204 + 0.921573i
\(751\) 22.3396i 0.815184i −0.913164 0.407592i \(-0.866369\pi\)
0.913164 0.407592i \(-0.133631\pi\)
\(752\) 5.88491 13.4015i 0.214601 0.488701i
\(753\) −0.00275734 0.218787i −0.000100483 0.00797303i
\(754\) 2.01473 4.54075i 0.0733722 0.165364i
\(755\) 11.7930 13.1530i 0.429190 0.478687i
\(756\) −2.63267 5.32389i −0.0957492 0.193628i
\(757\) 10.8498i 0.394342i 0.980369 + 0.197171i \(0.0631754\pi\)
−0.980369 + 0.197171i \(0.936825\pi\)
\(758\) −3.74336 6.46463i −0.135965 0.234806i
\(759\) 0.0857289 + 0.252955i 0.00311176 + 0.00918167i
\(760\) 3.78618 8.64158i 0.137339 0.313463i
\(761\) −1.55633 + 2.14210i −0.0564168 + 0.0776511i −0.836293 0.548282i \(-0.815282\pi\)
0.779876 + 0.625934i \(0.215282\pi\)
\(762\) 1.53427 + 0.657740i 0.0555807 + 0.0238274i
\(763\) −3.22242 + 2.34123i −0.116659 + 0.0847581i
\(764\) −11.7827 + 20.5291i −0.426283 + 0.742716i
\(765\) −24.6773 + 15.1606i −0.892208 + 0.548134i
\(766\) 2.58190 24.8705i 0.0932879 0.898607i
\(767\) 17.2326 + 5.59920i 0.622232 + 0.202175i
\(768\) −27.4877 + 3.52475i −0.991879 + 0.127188i
\(769\) −5.95384 + 18.3240i −0.214701 + 0.660782i 0.784474 + 0.620162i \(0.212933\pi\)
−0.999175 + 0.0406197i \(0.987067\pi\)
\(770\) −10.5321 + 4.73196i −0.379552 + 0.170528i
\(771\) 0.515284 + 40.8862i 0.0185575 + 1.47248i
\(772\) −0.660130 1.47255i −0.0237586 0.0529982i
\(773\) −2.64725 1.92334i −0.0952150 0.0691777i 0.539159 0.842204i \(-0.318742\pi\)
−0.634374 + 0.773026i \(0.718742\pi\)
\(774\) 2.41611 + 10.0505i 0.0868454 + 0.361258i
\(775\) 9.25900 44.4806i 0.332593 1.59779i
\(776\) −24.1132 17.3785i −0.865612 0.623853i
\(777\) −6.55689 + 4.89128i −0.235227 + 0.175474i
\(778\) 8.29898 + 3.68226i 0.297533 + 0.132015i
\(779\) 1.90347 + 5.85827i 0.0681988 + 0.209894i
\(780\) −21.5186 + 7.40481i −0.770488 + 0.265135i
\(781\) 6.49919 20.0024i 0.232559 0.715744i
\(782\) −0.0984699 + 0.109643i −0.00352128 + 0.00392083i
\(783\) −2.14178 5.83183i −0.0765411 0.208412i
\(784\) −17.7599 + 19.9281i −0.634283 + 0.711718i
\(785\) 11.0077 12.2772i 0.392882 0.438192i
\(786\) −3.50027 + 38.4257i −0.124850 + 1.37060i
\(787\) −26.3021 + 19.1096i −0.937568 + 0.681183i −0.947834 0.318765i \(-0.896732\pi\)
0.0102663 + 0.999947i \(0.496732\pi\)
\(788\) −24.7263 27.3207i −0.880838 0.973261i
\(789\) 14.7308 10.9888i 0.524432 0.391213i
\(790\) 3.94944 18.8947i 0.140515 0.672242i
\(791\) −1.23720 + 0.898880i −0.0439898 + 0.0319605i
\(792\) 1.57374 + 54.1885i 0.0559206 + 1.92550i
\(793\) 30.5541i 1.08501i
\(794\) 17.7055 + 30.5766i 0.628343 + 1.08512i
\(795\) −20.7327 8.86775i −0.735313 0.314507i
\(796\) −9.05311 20.1947i −0.320879 0.715782i
\(797\) 0.155859 + 0.479683i 0.00552079 + 0.0169913i 0.953779 0.300509i \(-0.0971566\pi\)
−0.948258 + 0.317500i \(0.897157\pi\)
\(798\) 2.07968 + 0.189441i 0.0736197 + 0.00670615i
\(799\) 15.7982i 0.558900i
\(800\) −11.2299 + 25.9594i −0.397036 + 0.917803i
\(801\) 25.2885 36.7183i 0.893526 1.29738i
\(802\) −13.6656 + 2.92295i −0.482549 + 0.103213i
\(803\) 51.5506 16.7498i 1.81918 0.591088i
\(804\) 34.4695 4.15194i 1.21565 0.146428i
\(805\) −0.0301566 + 0.00647639i −0.00106288 + 0.000228263i
\(806\) 32.6720 18.9188i 1.15082 0.666387i
\(807\) 9.94900 31.9859i 0.350221 1.12596i
\(808\) 22.6516 16.5902i 0.796879 0.583642i
\(809\) −13.8669 19.0861i −0.487534 0.671033i 0.492397 0.870371i \(-0.336121\pi\)
−0.979931 + 0.199338i \(0.936121\pi\)
\(810\) −12.8845 + 25.3770i −0.452715 + 0.891655i
\(811\) 2.42476 3.33739i 0.0851447 0.117192i −0.764320 0.644837i \(-0.776925\pi\)
0.849465 + 0.527646i \(0.176925\pi\)
\(812\) 1.01326 0.917036i 0.0355584 0.0321817i
\(813\) 5.62877 + 16.6084i 0.197410 + 0.582483i
\(814\) 73.0153 15.6173i 2.55918 0.547387i
\(815\) −40.1184 4.13121i −1.40529 0.144710i
\(816\) −25.6357 + 15.4124i −0.897430 + 0.539542i
\(817\) −3.45663 1.12313i −0.120932 0.0392932i
\(818\) 5.43279 + 4.87917i 0.189953 + 0.170596i
\(819\) −3.06249 3.99918i −0.107012 0.139743i
\(820\) −5.78821 17.5359i −0.202133 0.612379i
\(821\) 21.5974 7.01741i 0.753754 0.244909i 0.0931580 0.995651i \(-0.470304\pi\)
0.660596 + 0.750742i \(0.270304\pi\)
\(822\) −2.17698 + 2.48633i −0.0759310 + 0.0867206i
\(823\) 45.4607 + 33.0291i 1.58466 + 1.15132i 0.911097 + 0.412192i \(0.135237\pi\)
0.673562 + 0.739131i \(0.264763\pi\)
\(824\) 10.7350 14.8951i 0.373973 0.518897i
\(825\) 48.3749 + 26.8551i 1.68420 + 0.934973i
\(826\) 3.70862 + 3.33069i 0.129039 + 0.115890i
\(827\) 5.13103 7.06225i 0.178423 0.245579i −0.710433 0.703765i \(-0.751501\pi\)
0.888856 + 0.458186i \(0.151501\pi\)
\(828\) −0.0261661 + 0.142433i −0.000909337 + 0.00494990i
\(829\) −0.125675 0.386787i −0.00436486 0.0134337i 0.948850 0.315726i \(-0.102248\pi\)
−0.953215 + 0.302292i \(0.902248\pi\)
\(830\) −2.93150 + 2.65755i −0.101754 + 0.0922448i
\(831\) −2.36862 1.67571i −0.0821667 0.0581298i
\(832\) −22.2967 + 7.43390i −0.772998 + 0.257724i
\(833\) −8.90337 + 27.4018i −0.308483 + 0.949415i
\(834\) 12.5188 29.2018i 0.433491 1.01118i
\(835\) −11.0207 18.9960i −0.381388 0.657382i
\(836\) −16.5317 9.48838i −0.571760 0.328163i
\(837\) 12.8829 45.4249i 0.445299 1.57011i
\(838\) 3.70686 + 0.384823i 0.128051 + 0.0132935i
\(839\) 15.5736 + 11.3149i 0.537661 + 0.390634i 0.823216 0.567729i \(-0.192178\pi\)
−0.285554 + 0.958363i \(0.592178\pi\)
\(840\) −6.23729 0.538877i −0.215207 0.0185930i
\(841\) −22.3050 + 16.2055i −0.769137 + 0.558811i
\(842\) −20.8062 + 12.0479i −0.717029 + 0.415198i
\(843\) 3.61926 11.6359i 0.124654 0.400761i
\(844\) −9.54623 + 45.4821i −0.328595 + 1.56556i
\(845\) 8.44959 4.90213i 0.290675 0.168638i
\(846\) −8.11552 13.2344i −0.279017 0.455007i
\(847\) 5.26593 + 16.2069i 0.180940 + 0.556875i
\(848\) −21.3237 9.36376i −0.732259 0.321553i
\(849\) −0.337887 0.105097i −0.0115963 0.00360694i
\(850\) 0.167554 + 30.5284i 0.00574706 + 1.04712i
\(851\) 0.199461 0.00683742
\(852\) 8.35794 7.75808i 0.286338 0.265787i
\(853\) −28.6030 + 9.29369i −0.979349 + 0.318210i −0.754584 0.656203i \(-0.772161\pi\)
−0.224765 + 0.974413i \(0.572161\pi\)
\(854\) 3.40904 7.68321i 0.116655 0.262914i
\(855\) −5.23825 8.52639i −0.179144 0.291596i
\(856\) −29.9443 + 21.9315i −1.02348 + 0.749604i
\(857\) 2.35394 0.0804090 0.0402045 0.999191i \(-0.487199\pi\)
0.0402045 + 0.999191i \(0.487199\pi\)
\(858\) 10.1823 + 44.8350i 0.347619 + 1.53064i
\(859\) 11.1237 + 15.3105i 0.379537 + 0.522388i 0.955462 0.295115i \(-0.0953578\pi\)
−0.575925 + 0.817503i \(0.695358\pi\)
\(860\) 10.3783 + 3.31873i 0.353896 + 0.113168i
\(861\) 3.27625 2.44400i 0.111654 0.0832914i
\(862\) −6.69109 0.694627i −0.227899 0.0236591i
\(863\) 11.4396 + 15.7453i 0.389410 + 0.535977i 0.958047 0.286612i \(-0.0925290\pi\)
−0.568637 + 0.822589i \(0.692529\pi\)
\(864\) −13.5581 + 26.0802i −0.461256 + 0.887267i
\(865\) 5.88080 + 27.3833i 0.199953 + 0.931060i
\(866\) −3.50845 + 33.7956i −0.119222 + 1.14842i
\(867\) −1.64081 + 2.31930i −0.0557250 + 0.0787675i
\(868\) 10.3266 1.11203i 0.350508 0.0377448i
\(869\) −37.0899 12.0512i −1.25819 0.408810i
\(870\) −6.42658 1.25900i −0.217882 0.0426840i
\(871\) 28.0039 9.09900i 0.948874 0.308308i
\(872\) 18.7712 + 6.01977i 0.635674 + 0.203855i
\(873\) −29.7280 + 10.4946i −1.00614 + 0.355189i
\(874\) −0.0378835 0.0340230i −0.00128143 0.00115084i
\(875\) −3.72299 + 5.19294i −0.125860 + 0.175553i
\(876\) 28.8367 + 5.67409i 0.974302 + 0.191710i
\(877\) −18.8327 + 25.9210i −0.635936 + 0.875290i −0.998391 0.0567108i \(-0.981939\pi\)
0.362455 + 0.932001i \(0.381939\pi\)
\(878\) −28.1666 12.4975i −0.950578 0.421771i
\(879\) 0.281777 + 22.3582i 0.00950411 + 0.754122i
\(880\) 49.6927 + 28.2142i 1.67514 + 0.951102i
\(881\) 31.1705 + 10.1279i 1.05016 + 0.341218i 0.782732 0.622359i \(-0.213826\pi\)
0.267429 + 0.963577i \(0.413826\pi\)
\(882\) 6.61777 + 27.5285i 0.222832 + 0.926932i
\(883\) 4.99442 15.3713i 0.168076 0.517284i −0.831174 0.556012i \(-0.812331\pi\)
0.999250 + 0.0387283i \(0.0123307\pi\)
\(884\) −18.8091 + 17.0229i −0.632618 + 0.572543i
\(885\) 2.14715 23.7897i 0.0721757 0.799682i
\(886\) 5.99258 1.28176i 0.201325 0.0430615i
\(887\) 12.3391 + 16.9833i 0.414305 + 0.570242i 0.964262 0.264951i \(-0.0853559\pi\)
−0.549957 + 0.835193i \(0.685356\pi\)
\(888\) 38.7039 + 11.8762i 1.29882 + 0.398540i
\(889\) 0.315093 + 0.228929i 0.0105679 + 0.00767802i
\(890\) −19.2600 42.8679i −0.645597 1.43693i
\(891\) 48.1622 + 31.4107i 1.61349 + 1.05230i
\(892\) 9.71207 + 2.03846i 0.325184 + 0.0682528i
\(893\) 5.45853 0.182663
\(894\) −8.26438 36.3899i −0.276402 1.21706i
\(895\) 9.25122 20.8969i 0.309234 0.698507i
\(896\) −6.43620 0.618380i −0.215018 0.0206586i
\(897\) 0.00154776 + 0.122810i 5.16781e−5 + 0.00410050i
\(898\) 3.92110 0.838689i 0.130849 0.0279874i
\(899\) 10.8645 0.362350
\(900\) 15.8228 + 25.4880i 0.527426 + 0.849601i
\(901\) −25.1373 −0.837443
\(902\) −36.4832 + 7.80344i −1.21476 + 0.259826i
\(903\) 0.0303926 + 2.41156i 0.00101140 + 0.0802516i
\(904\) 7.20694 + 2.31120i 0.239699 + 0.0768695i
\(905\) −43.8131 + 25.4187i −1.45640 + 0.844945i
\(906\) −4.28577 18.8712i −0.142385 0.626955i
\(907\) 23.3192 0.774300 0.387150 0.922017i \(-0.373460\pi\)
0.387150 + 0.922017i \(0.373460\pi\)
\(908\) 1.63011 7.76650i 0.0540970 0.257740i
\(909\) −0.750517 29.7709i −0.0248931 0.987438i
\(910\) −5.27857 + 0.572858i −0.174983 + 0.0189901i
\(911\) 3.16834 + 2.30194i 0.104972 + 0.0762665i 0.639033 0.769179i \(-0.279335\pi\)
−0.534061 + 0.845446i \(0.679335\pi\)
\(912\) −5.32523 8.85756i −0.176336 0.293303i
\(913\) 4.69879 + 6.46734i 0.155507 + 0.214038i
\(914\) −34.3455 + 7.34620i −1.13605 + 0.242991i
\(915\) −39.2712 + 8.95300i −1.29827 + 0.295977i
\(916\) 23.0873 + 25.5097i 0.762824 + 0.842865i
\(917\) −2.78191 + 8.56185i −0.0918668 + 0.282737i
\(918\) −2.08093 + 31.6582i −0.0686809 + 1.04488i
\(919\) 33.8036 + 10.9835i 1.11508 + 0.362311i 0.807887 0.589337i \(-0.200611\pi\)
0.307191 + 0.951648i \(0.400611\pi\)
\(920\) 0.114046 + 0.101468i 0.00375998 + 0.00334530i
\(921\) 0.368539 + 29.2424i 0.0121438 + 0.963570i
\(922\) 5.83064 + 2.58705i 0.192022 + 0.0852001i
\(923\) 5.68474 7.82437i 0.187115 0.257542i
\(924\) −2.44195 + 12.4104i −0.0803342 + 0.408272i
\(925\) 30.5899 27.7775i 1.00579 0.913317i
\(926\) −15.8913 14.2719i −0.522221 0.469005i
\(927\) −6.48271 18.3635i −0.212920 0.603137i
\(928\) −6.62455 1.36396i −0.217462 0.0447742i
\(929\) 2.39405 0.777873i 0.0785462 0.0255212i −0.269480 0.963006i \(-0.586852\pi\)
0.348026 + 0.937485i \(0.386852\pi\)
\(930\) −33.8899 36.4497i −1.11129 1.19523i
\(931\) −9.46775 3.07626i −0.310293 0.100820i
\(932\) 2.51061 + 23.3141i 0.0822376 + 0.763679i
\(933\) 11.8563 16.7590i 0.388159 0.548665i
\(934\) −4.70811 + 45.3514i −0.154054 + 1.48394i
\(935\) 61.3542 + 6.31798i 2.00650 + 0.206620i
\(936\) −7.01198 + 23.9225i −0.229194 + 0.781933i
\(937\) 14.7066 + 20.2419i 0.480443 + 0.661274i 0.978590 0.205819i \(-0.0659859\pi\)
−0.498147 + 0.867093i \(0.665986\pi\)
\(938\) 8.05712 + 0.836441i 0.263074 + 0.0273108i
\(939\) −28.3324 + 21.1353i −0.924594 + 0.689725i
\(940\) −16.3641 + 0.0762397i −0.533738 + 0.00248666i
\(941\) −16.1214 22.1892i −0.525544 0.723349i 0.460899 0.887452i \(-0.347527\pi\)
−0.986443 + 0.164104i \(0.947527\pi\)
\(942\) −4.00040 17.6147i −0.130340 0.573916i
\(943\) −0.0996636 −0.00324549
\(944\) 2.45339 24.5475i 0.0798510 0.798952i
\(945\) −4.24278 + 5.10806i −0.138018 + 0.166165i
\(946\) 8.92805 20.1218i 0.290276 0.654216i
\(947\) 9.50992 3.08996i 0.309031 0.100410i −0.150396 0.988626i \(-0.548055\pi\)
0.459427 + 0.888216i \(0.348055\pi\)
\(948\) −14.3855 15.4979i −0.467221 0.503347i
\(949\) 24.9254 0.809114
\(950\) −10.5481 + 0.0578926i −0.342225 + 0.00187829i
\(951\) −30.1261 9.37052i −0.976906 0.303860i
\(952\) −6.62908 + 2.18202i −0.214850 + 0.0707197i
\(953\) −12.5807 38.7194i −0.407528 1.25424i −0.918766 0.394804i \(-0.870813\pi\)
0.511237 0.859440i \(-0.329187\pi\)
\(954\) −21.0578 + 12.9130i −0.681773 + 0.418073i
\(955\) 26.3248 + 2.71081i 0.851850 + 0.0877197i
\(956\) −41.9740 8.80990i −1.35753 0.284933i
\(957\) −3.92960 + 12.6336i −0.127026 + 0.408387i
\(958\) 10.9797 6.35785i 0.354739 0.205413i
\(959\) −0.623784 + 0.453206i −0.0201430 + 0.0146348i
\(960\) 16.0882 + 26.4796i 0.519244 + 0.854626i
\(961\) 41.7211 + 30.3121i 1.34584 + 0.977811i
\(962\) 34.1519 + 3.54544i 1.10110 + 0.114310i
\(963\) 0.992150 + 39.3558i 0.0319716 + 1.26822i
\(964\) −20.1115 + 35.0405i −0.647748 + 1.12858i
\(965\) −1.20443 + 1.34334i −0.0387721 + 0.0432435i
\(966\) −0.0133132 + 0.0310547i −0.000428344 + 0.000999169i
\(967\) 16.4112 50.5085i 0.527749 1.62424i −0.231067 0.972938i \(-0.574222\pi\)
0.758815 0.651306i \(-0.225778\pi\)
\(968\) 49.3104 68.4193i 1.58489 2.19908i
\(969\) −9.10674 6.44267i −0.292551 0.206968i
\(970\) −6.79920 + 32.5284i −0.218309 + 1.04442i
\(971\) −0.281879 0.867533i −0.00904592 0.0278405i 0.946432 0.322904i \(-0.104659\pi\)
−0.955478 + 0.295064i \(0.904659\pi\)
\(972\) 14.5196 + 27.5895i 0.465716 + 0.884934i
\(973\) 4.35721 5.99719i 0.139686 0.192261i
\(974\) −35.3271 31.7271i −1.13195 1.01660i
\(975\) 17.3402 + 18.6190i 0.555332 + 0.596284i
\(976\) −40.6461 + 8.85674i −1.30105 + 0.283497i
\(977\) 6.93215 + 5.03650i 0.221779 + 0.161132i 0.693127 0.720815i \(-0.256232\pi\)
−0.471348 + 0.881947i \(0.656232\pi\)
\(978\) −29.1036 + 33.2392i −0.930632 + 1.06287i
\(979\) −90.3002 + 29.3403i −2.88601 + 0.937720i
\(980\) 28.4262 + 9.09005i 0.908043 + 0.290371i
\(981\) 16.6004 12.7122i 0.530009 0.405869i
\(982\) −11.4464 10.2799i −0.365269 0.328046i
\(983\) 10.3782 + 3.37207i 0.331012 + 0.107552i 0.469808 0.882769i \(-0.344323\pi\)
−0.138796 + 0.990321i \(0.544323\pi\)
\(984\) −19.3390 5.93414i −0.616505 0.189174i
\(985\) −16.6774 + 37.6713i −0.531386 + 1.20031i
\(986\) −7.13879 + 1.52692i −0.227345 + 0.0486271i
\(987\) −1.16262 3.43046i −0.0370065 0.109193i
\(988\) −5.88169 6.49884i −0.187122 0.206756i
\(989\) 0.0345652 0.0475749i 0.00109911 0.00151279i
\(990\) 54.6428 26.2249i 1.73666 0.833483i
\(991\) −23.2203 31.9600i −0.737617 1.01524i −0.998752 0.0499401i \(-0.984097\pi\)
0.261136 0.965302i \(-0.415903\pi\)
\(992\) −34.6383 37.9794i −1.09977 1.20585i
\(993\) 7.32486 23.5493i 0.232447 0.747316i
\(994\) 2.30249 1.33327i 0.0730306 0.0422886i
\(995\) −16.5177 + 18.4227i −0.523648 + 0.584038i
\(996\) 0.518349 + 4.30335i 0.0164245 + 0.136357i
\(997\) −40.4282 + 13.1359i −1.28038 + 0.416019i −0.868712 0.495317i \(-0.835052\pi\)
−0.411663 + 0.911336i \(0.635052\pi\)
\(998\) −50.8919 + 10.8853i −1.61095 + 0.344569i
\(999\) 33.7610 26.5350i 1.06815 0.839532i
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 300.2.r.a.59.32 yes 224
3.2 odd 2 inner 300.2.r.a.59.25 yes 224
4.3 odd 2 inner 300.2.r.a.59.54 yes 224
12.11 even 2 inner 300.2.r.a.59.3 224
25.14 even 10 inner 300.2.r.a.239.3 yes 224
75.14 odd 10 inner 300.2.r.a.239.54 yes 224
100.39 odd 10 inner 300.2.r.a.239.25 yes 224
300.239 even 10 inner 300.2.r.a.239.32 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.r.a.59.3 224 12.11 even 2 inner
300.2.r.a.59.25 yes 224 3.2 odd 2 inner
300.2.r.a.59.32 yes 224 1.1 even 1 trivial
300.2.r.a.59.54 yes 224 4.3 odd 2 inner
300.2.r.a.239.3 yes 224 25.14 even 10 inner
300.2.r.a.239.25 yes 224 100.39 odd 10 inner
300.2.r.a.239.32 yes 224 300.239 even 10 inner
300.2.r.a.239.54 yes 224 75.14 odd 10 inner