Properties

Label 322.2.o.a.171.7
Level $322$
Weight $2$
Character 322.171
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (of order \(66\), degree \(20\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 171.7
Character \(\chi\) \(=\) 322.171
Dual form 322.2.o.a.145.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.327068 - 0.945001i) q^{2} +(1.26406 + 2.45193i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.91827 - 0.278661i) q^{5} +(2.73051 - 0.392587i) q^{6} +(1.42832 - 2.22708i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-2.67394 + 3.75502i) q^{9} +O(q^{10})\) \(q+(0.327068 - 0.945001i) q^{2} +(1.26406 + 2.45193i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.91827 - 0.278661i) q^{5} +(2.73051 - 0.392587i) q^{6} +(1.42832 - 2.22708i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-2.67394 + 3.75502i) q^{9} +(0.691137 - 2.84891i) q^{10} +(-1.73899 + 0.601869i) q^{11} +(0.522066 - 2.70873i) q^{12} +(-0.0383476 - 0.130600i) q^{13} +(-1.63744 - 2.07817i) q^{14} +(4.37211 + 6.80314i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.11041 - 2.44624i) q^{17} +(2.67394 + 3.75502i) q^{18} +(-3.14930 + 1.26079i) q^{19} +(-2.46617 - 1.58491i) q^{20} +(7.26612 + 0.686982i) q^{21} +1.84020i q^{22} +(4.60642 - 1.33451i) q^{23} +(-2.38900 - 1.37929i) q^{24} +(3.52898 - 0.680156i) q^{25} +(-0.135959 - 0.00647654i) q^{26} +(-4.39554 - 0.631983i) q^{27} +(-2.49943 + 0.867676i) q^{28} +(1.04588 + 7.27424i) q^{29} +(7.85895 - 1.90656i) q^{30} +(5.00567 - 0.238449i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-3.67392 - 3.50307i) q^{33} +(-4.31022 + 4.97425i) q^{34} +(3.54762 - 6.89724i) q^{35} +(4.42306 - 1.29873i) q^{36} +(-3.30649 - 2.35454i) q^{37} +(0.161412 + 3.38846i) q^{38} +(0.271748 - 0.259111i) q^{39} +(-2.30435 + 1.81216i) q^{40} +(-2.24971 - 1.02741i) q^{41} +(3.02571 - 6.64180i) q^{42} +(-3.81847 + 5.94165i) q^{43} +(1.73899 + 0.601869i) q^{44} +(-6.75689 + 11.7033i) q^{45} +(0.245499 - 4.78954i) q^{46} +(-0.799510 + 0.461597i) q^{47} +(-2.08480 + 1.80649i) q^{48} +(-2.91980 - 6.36198i) q^{49} +(0.511470 - 3.55735i) q^{50} +(-1.72590 - 18.0745i) q^{51} +(-0.0505883 + 0.126363i) q^{52} +(-9.61964 - 10.0888i) q^{53} +(-2.03486 + 3.94708i) q^{54} +(-4.90711 + 2.24100i) q^{55} +(0.00247163 + 2.64575i) q^{56} +(-7.07226 - 6.12815i) q^{57} +(7.21623 + 1.39081i) q^{58} +(-0.902529 - 0.218951i) q^{59} +(0.768709 - 8.05028i) q^{60} +(-11.5525 - 5.95572i) q^{61} +(1.41186 - 4.80835i) q^{62} +(4.54350 + 11.3185i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.148302 - 0.370440i) q^{65} +(-4.51203 + 2.32611i) q^{66} +(0.168716 + 0.875382i) q^{67} +(3.29094 + 5.70008i) q^{68} +(9.09489 + 9.60771i) q^{69} +(-5.35758 - 5.60837i) q^{70} +(7.84872 + 9.05791i) q^{71} +(0.219343 - 4.60457i) q^{72} +(1.32610 - 1.68628i) q^{73} +(-3.30649 + 2.35454i) q^{74} +(6.12853 + 7.79306i) q^{75} +(3.25489 + 0.955721i) q^{76} +(-1.14342 + 4.73253i) q^{77} +(-0.155980 - 0.341549i) q^{78} +(10.7901 - 11.3164i) q^{79} +(0.958813 + 2.77031i) q^{80} +(0.516512 + 1.49236i) q^{81} +(-1.70671 + 1.78995i) q^{82} +(5.36351 + 11.7445i) q^{83} +(-5.28690 - 5.03162i) q^{84} +(-18.5135 - 5.43605i) q^{85} +(4.36597 + 5.55178i) q^{86} +(-16.5139 + 11.7595i) q^{87} +(1.13753 - 1.44649i) q^{88} +(-0.0514151 + 1.07934i) q^{89} +(8.84964 + 10.2130i) q^{90} +(-0.345630 - 0.101135i) q^{91} +(-4.44583 - 1.79850i) q^{92} +(6.91211 + 11.9721i) q^{93} +(0.174716 + 0.906511i) q^{94} +(-8.83917 + 4.55691i) q^{95} +(1.02526 + 2.56098i) q^{96} +(7.06516 - 15.4705i) q^{97} +(-6.96705 + 0.678411i) q^{98} +(2.38991 - 8.13929i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9} + 27 q^{12} + 11 q^{14} + 8 q^{16} - 66 q^{17} + 32 q^{18} - 66 q^{21} - 30 q^{23} - 6 q^{24} + 42 q^{25} + 6 q^{26} - 22 q^{28} + 16 q^{29} - 22 q^{30} - 12 q^{31} - 8 q^{32} - 99 q^{35} + 20 q^{36} + 22 q^{37} + 33 q^{38} - 20 q^{39} - 22 q^{42} + 22 q^{43} + 8 q^{46} + 138 q^{47} - 15 q^{49} - 4 q^{50} + 55 q^{51} - 60 q^{52} - 22 q^{53} - 18 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} + 11 q^{63} - 16 q^{64} - 77 q^{65} - 76 q^{70} - 80 q^{71} - 12 q^{72} + 108 q^{73} + 22 q^{74} - 85 q^{77} + 70 q^{78} - 44 q^{79} - 2 q^{81} - 21 q^{82} - 33 q^{84} - 58 q^{85} + 44 q^{86} - 186 q^{87} - 11 q^{88} - 198 q^{89} + 16 q^{92} + 114 q^{93} + 6 q^{94} + 6 q^{95} + 6 q^{96} + 33 q^{98} + 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327068 0.945001i 0.231272 0.668216i
\(3\) 1.26406 + 2.45193i 0.729803 + 1.41562i 0.902519 + 0.430649i \(0.141715\pi\)
−0.172716 + 0.984972i \(0.555254\pi\)
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) 2.91827 0.278661i 1.30509 0.124621i 0.580759 0.814075i \(-0.302756\pi\)
0.724329 + 0.689454i \(0.242150\pi\)
\(6\) 2.73051 0.392587i 1.11472 0.160273i
\(7\) 1.42832 2.22708i 0.539855 0.841758i
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) −2.67394 + 3.75502i −0.891313 + 1.25167i
\(10\) 0.691137 2.84891i 0.218557 0.900903i
\(11\) −1.73899 + 0.601869i −0.524324 + 0.181470i −0.576392 0.817173i \(-0.695540\pi\)
0.0520681 + 0.998644i \(0.483419\pi\)
\(12\) 0.522066 2.70873i 0.150707 0.781944i
\(13\) −0.0383476 0.130600i −0.0106357 0.0362219i 0.954004 0.299793i \(-0.0969177\pi\)
−0.964640 + 0.263571i \(0.915100\pi\)
\(14\) −1.63744 2.07817i −0.437623 0.555415i
\(15\) 4.37211 + 6.80314i 1.12887 + 1.75656i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) −6.11041 2.44624i −1.48199 0.593300i −0.517095 0.855928i \(-0.672986\pi\)
−0.964897 + 0.262628i \(0.915411\pi\)
\(18\) 2.67394 + 3.75502i 0.630254 + 0.885067i
\(19\) −3.14930 + 1.26079i −0.722499 + 0.289245i −0.703620 0.710577i \(-0.748434\pi\)
−0.0188794 + 0.999822i \(0.506010\pi\)
\(20\) −2.46617 1.58491i −0.551452 0.354397i
\(21\) 7.26612 + 0.686982i 1.58560 + 0.149912i
\(22\) 1.84020i 0.392331i
\(23\) 4.60642 1.33451i 0.960504 0.278264i
\(24\) −2.38900 1.37929i −0.487653 0.281547i
\(25\) 3.52898 0.680156i 0.705797 0.136031i
\(26\) −0.135959 0.00647654i −0.0266638 0.00127015i
\(27\) −4.39554 0.631983i −0.845921 0.121625i
\(28\) −2.49943 + 0.867676i −0.472347 + 0.163975i
\(29\) 1.04588 + 7.27424i 0.194215 + 1.35079i 0.820700 + 0.571359i \(0.193584\pi\)
−0.626486 + 0.779433i \(0.715507\pi\)
\(30\) 7.85895 1.90656i 1.43484 0.348089i
\(31\) 5.00567 0.238449i 0.899045 0.0428268i 0.407031 0.913414i \(-0.366564\pi\)
0.492014 + 0.870587i \(0.336261\pi\)
\(32\) 0.995472 + 0.0950560i 0.175976 + 0.0168037i
\(33\) −3.67392 3.50307i −0.639547 0.609807i
\(34\) −4.31022 + 4.97425i −0.739196 + 0.853078i
\(35\) 3.54762 6.89724i 0.599658 1.16585i
\(36\) 4.42306 1.29873i 0.737177 0.216455i
\(37\) −3.30649 2.35454i −0.543583 0.387084i 0.275024 0.961437i \(-0.411314\pi\)
−0.818607 + 0.574353i \(0.805254\pi\)
\(38\) 0.161412 + 3.38846i 0.0261845 + 0.549680i
\(39\) 0.271748 0.259111i 0.0435145 0.0414910i
\(40\) −2.30435 + 1.81216i −0.364349 + 0.286527i
\(41\) −2.24971 1.02741i −0.351346 0.160455i 0.231921 0.972735i \(-0.425499\pi\)
−0.583268 + 0.812280i \(0.698226\pi\)
\(42\) 3.02571 6.64180i 0.466878 1.02485i
\(43\) −3.81847 + 5.94165i −0.582311 + 0.906093i −0.999997 0.00249820i \(-0.999205\pi\)
0.417686 + 0.908591i \(0.362841\pi\)
\(44\) 1.73899 + 0.601869i 0.262162 + 0.0907352i
\(45\) −6.75689 + 11.7033i −1.00726 + 1.74462i
\(46\) 0.245499 4.78954i 0.0361969 0.706180i
\(47\) −0.799510 + 0.461597i −0.116620 + 0.0673308i −0.557176 0.830395i \(-0.688115\pi\)
0.440555 + 0.897726i \(0.354782\pi\)
\(48\) −2.08480 + 1.80649i −0.300915 + 0.260744i
\(49\) −2.91980 6.36198i −0.417114 0.908854i
\(50\) 0.511470 3.55735i 0.0723328 0.503085i
\(51\) −1.72590 18.0745i −0.241675 2.53093i
\(52\) −0.0505883 + 0.126363i −0.00701534 + 0.0175235i
\(53\) −9.61964 10.0888i −1.32136 1.38580i −0.869675 0.493625i \(-0.835672\pi\)
−0.451685 0.892178i \(-0.649177\pi\)
\(54\) −2.03486 + 3.94708i −0.276910 + 0.537130i
\(55\) −4.90711 + 2.24100i −0.661674 + 0.302177i
\(56\) 0.00247163 + 2.64575i 0.000330286 + 0.353553i
\(57\) −7.07226 6.12815i −0.936743 0.811693i
\(58\) 7.21623 + 1.39081i 0.947538 + 0.182623i
\(59\) −0.902529 0.218951i −0.117499 0.0285050i 0.176578 0.984287i \(-0.443497\pi\)
−0.294077 + 0.955782i \(0.595012\pi\)
\(60\) 0.768709 8.05028i 0.0992399 1.03929i
\(61\) −11.5525 5.95572i −1.47915 0.762552i −0.485407 0.874288i \(-0.661329\pi\)
−0.993738 + 0.111736i \(0.964359\pi\)
\(62\) 1.41186 4.80835i 0.179306 0.610661i
\(63\) 4.54350 + 11.3185i 0.572427 + 1.42599i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −0.148302 0.370440i −0.0183946 0.0459474i
\(66\) −4.51203 + 2.32611i −0.555392 + 0.286324i
\(67\) 0.168716 + 0.875382i 0.0206120 + 0.106945i 0.990778 0.135498i \(-0.0432634\pi\)
−0.970166 + 0.242443i \(0.922051\pi\)
\(68\) 3.29094 + 5.70008i 0.399085 + 0.691236i
\(69\) 9.09489 + 9.60771i 1.09490 + 1.15663i
\(70\) −5.35758 5.60837i −0.640354 0.670329i
\(71\) 7.84872 + 9.05791i 0.931472 + 1.07498i 0.997021 + 0.0771266i \(0.0245746\pi\)
−0.0655493 + 0.997849i \(0.520880\pi\)
\(72\) 0.219343 4.60457i 0.0258498 0.542653i
\(73\) 1.32610 1.68628i 0.155209 0.197364i −0.702230 0.711950i \(-0.747812\pi\)
0.857439 + 0.514586i \(0.172055\pi\)
\(74\) −3.30649 + 2.35454i −0.384371 + 0.273710i
\(75\) 6.12853 + 7.79306i 0.707662 + 0.899865i
\(76\) 3.25489 + 0.955721i 0.373361 + 0.109629i
\(77\) −1.14342 + 4.73253i −0.130305 + 0.539322i
\(78\) −0.155980 0.341549i −0.0176613 0.0386728i
\(79\) 10.7901 11.3164i 1.21399 1.27319i 0.262702 0.964877i \(-0.415386\pi\)
0.951284 0.308315i \(-0.0997651\pi\)
\(80\) 0.958813 + 2.77031i 0.107199 + 0.309730i
\(81\) 0.516512 + 1.49236i 0.0573902 + 0.165818i
\(82\) −1.70671 + 1.78995i −0.188475 + 0.197667i
\(83\) 5.36351 + 11.7445i 0.588722 + 1.28912i 0.936211 + 0.351437i \(0.114307\pi\)
−0.347490 + 0.937684i \(0.612966\pi\)
\(84\) −5.28690 5.03162i −0.576848 0.548995i
\(85\) −18.5135 5.43605i −2.00807 0.589622i
\(86\) 4.36597 + 5.55178i 0.470794 + 0.598664i
\(87\) −16.5139 + 11.7595i −1.77047 + 1.26075i
\(88\) 1.13753 1.44649i 0.121261 0.154196i
\(89\) −0.0514151 + 1.07934i −0.00544999 + 0.114409i 0.994503 + 0.104709i \(0.0333910\pi\)
−0.999953 + 0.00970087i \(0.996912\pi\)
\(90\) 8.84964 + 10.2130i 0.932834 + 1.07655i
\(91\) −0.345630 0.101135i −0.0362318 0.0106019i
\(92\) −4.44583 1.79850i −0.463510 0.187507i
\(93\) 6.91211 + 11.9721i 0.716752 + 1.24145i
\(94\) 0.174716 + 0.906511i 0.0180205 + 0.0934994i
\(95\) −8.83917 + 4.55691i −0.906879 + 0.467529i
\(96\) 1.02526 + 2.56098i 0.104640 + 0.261379i
\(97\) 7.06516 15.4705i 0.717358 1.57080i −0.100212 0.994966i \(-0.531952\pi\)
0.817570 0.575829i \(-0.195321\pi\)
\(98\) −6.96705 + 0.678411i −0.703778 + 0.0685298i
\(99\) 2.38991 8.13929i 0.240195 0.818030i
\(100\) −3.19441 1.64683i −0.319441 0.164683i
\(101\) 0.476718 4.99242i 0.0474352 0.496764i −0.940269 0.340432i \(-0.889427\pi\)
0.987704 0.156333i \(-0.0499672\pi\)
\(102\) −17.6449 4.28060i −1.74710 0.423842i
\(103\) 5.07356 + 0.977849i 0.499913 + 0.0963503i 0.432973 0.901407i \(-0.357464\pi\)
0.0669396 + 0.997757i \(0.478677\pi\)
\(104\) 0.102868 + 0.0891354i 0.0100870 + 0.00874045i
\(105\) 21.3959 0.0199879i 2.08803 0.00195061i
\(106\) −12.6802 + 5.79085i −1.23161 + 0.562457i
\(107\) −0.0962841 + 0.186765i −0.00930814 + 0.0180553i −0.893444 0.449175i \(-0.851718\pi\)
0.884136 + 0.467231i \(0.154748\pi\)
\(108\) 3.06446 + 3.21391i 0.294878 + 0.309259i
\(109\) −0.966162 + 2.41336i −0.0925415 + 0.231158i −0.967416 0.253192i \(-0.918520\pi\)
0.874874 + 0.484350i \(0.160944\pi\)
\(110\) 0.512790 + 5.37018i 0.0488926 + 0.512027i
\(111\) 1.59357 11.0835i 0.151255 1.05200i
\(112\) 2.50104 + 0.863004i 0.236326 + 0.0815463i
\(113\) 3.28780 2.84890i 0.309291 0.268002i −0.486359 0.873759i \(-0.661675\pi\)
0.795649 + 0.605757i \(0.207130\pi\)
\(114\) −8.10421 + 4.67897i −0.759029 + 0.438226i
\(115\) 13.0709 5.17808i 1.21887 0.482859i
\(116\) 3.67452 6.36445i 0.341171 0.590925i
\(117\) 0.592945 + 0.205220i 0.0548178 + 0.0189726i
\(118\) −0.502098 + 0.781279i −0.0462218 + 0.0719226i
\(119\) −14.1756 + 10.1144i −1.29948 + 0.927183i
\(120\) −7.35611 3.35942i −0.671517 0.306672i
\(121\) −5.98476 + 4.70647i −0.544069 + 0.427860i
\(122\) −9.40662 + 8.96919i −0.851635 + 0.812032i
\(123\) −0.324631 6.81484i −0.0292710 0.614474i
\(124\) −4.08212 2.90687i −0.366585 0.261044i
\(125\) −3.95498 + 1.16129i −0.353744 + 0.103869i
\(126\) 12.1820 0.591706i 1.08526 0.0527134i
\(127\) 9.91972 11.4480i 0.880232 1.01584i −0.119503 0.992834i \(-0.538130\pi\)
0.999735 0.0230086i \(-0.00732451\pi\)
\(128\) −0.723734 0.690079i −0.0639697 0.0609949i
\(129\) −19.3953 1.85202i −1.70766 0.163061i
\(130\) −0.398571 + 0.0189863i −0.0349569 + 0.00166520i
\(131\) −8.14622 + 1.97625i −0.711739 + 0.172666i −0.575252 0.817976i \(-0.695096\pi\)
−0.136486 + 0.990642i \(0.543581\pi\)
\(132\) 0.722438 + 5.02466i 0.0628801 + 0.437341i
\(133\) −1.69033 + 8.81457i −0.146570 + 0.764320i
\(134\) 0.882419 + 0.126873i 0.0762294 + 0.0109601i
\(135\) −13.0035 0.619431i −1.11916 0.0533121i
\(136\) 6.46294 1.24563i 0.554192 0.106812i
\(137\) 19.8371 + 11.4529i 1.69480 + 0.978490i 0.950544 + 0.310591i \(0.100527\pi\)
0.744251 + 0.667900i \(0.232806\pi\)
\(138\) 12.0539 5.45231i 1.02610 0.464131i
\(139\) 2.02843i 0.172049i −0.996293 0.0860247i \(-0.972584\pi\)
0.996293 0.0860247i \(-0.0274164\pi\)
\(140\) −7.05221 + 3.22860i −0.596020 + 0.272867i
\(141\) −2.14243 1.37685i −0.180425 0.115952i
\(142\) 11.1268 4.45450i 0.933740 0.373813i
\(143\) 0.145290 + 0.204031i 0.0121498 + 0.0170620i
\(144\) −4.27958 1.71329i −0.356632 0.142774i
\(145\) 5.07919 + 20.9367i 0.421804 + 1.73870i
\(146\) −1.15981 1.80470i −0.0959864 0.149358i
\(147\) 11.9083 15.2010i 0.982182 1.25376i
\(148\) 1.14360 + 3.89473i 0.0940030 + 0.320145i
\(149\) −3.74751 + 19.4439i −0.307008 + 1.59291i 0.420818 + 0.907145i \(0.361743\pi\)
−0.727826 + 0.685762i \(0.759469\pi\)
\(150\) 9.36889 3.24261i 0.764967 0.264758i
\(151\) 4.77962 19.7018i 0.388960 1.60331i −0.354851 0.934923i \(-0.615468\pi\)
0.743810 0.668391i \(-0.233017\pi\)
\(152\) 1.96773 2.76328i 0.159604 0.224132i
\(153\) 25.5245 16.4036i 2.06354 1.32615i
\(154\) 4.09827 + 2.62839i 0.330248 + 0.211802i
\(155\) 14.5414 2.09074i 1.16800 0.167932i
\(156\) −0.373781 + 0.0356917i −0.0299264 + 0.00285762i
\(157\) 1.93583 + 1.52236i 0.154496 + 0.121497i 0.692415 0.721500i \(-0.256547\pi\)
−0.537919 + 0.842997i \(0.680789\pi\)
\(158\) −7.16488 13.8979i −0.570007 1.10566i
\(159\) 12.5772 36.3395i 0.997438 2.88191i
\(160\) 2.93154 0.231759
\(161\) 3.60738 12.1650i 0.284301 0.958735i
\(162\) 1.57922 0.124075
\(163\) −3.39282 + 9.80292i −0.265747 + 0.767824i 0.730630 + 0.682774i \(0.239226\pi\)
−0.996377 + 0.0850507i \(0.972895\pi\)
\(164\) 1.13329 + 2.19828i 0.0884953 + 0.171657i
\(165\) −11.6976 9.19912i −0.910660 0.716151i
\(166\) 12.8527 1.22729i 0.997567 0.0952561i
\(167\) −14.0056 + 2.01370i −1.08378 + 0.155825i −0.660985 0.750399i \(-0.729861\pi\)
−0.422799 + 0.906224i \(0.638952\pi\)
\(168\) −6.48406 + 3.35044i −0.500256 + 0.258492i
\(169\) 10.9207 7.01831i 0.840055 0.539870i
\(170\) −11.1922 + 15.7173i −0.858405 + 1.20546i
\(171\) 3.68674 15.1970i 0.281932 1.16214i
\(172\) 6.67440 2.31003i 0.508918 0.176138i
\(173\) −4.44866 + 23.0818i −0.338225 + 1.75488i 0.271663 + 0.962393i \(0.412427\pi\)
−0.609888 + 0.792488i \(0.708786\pi\)
\(174\) 5.71155 + 19.4517i 0.432991 + 1.47463i
\(175\) 3.52576 8.83082i 0.266522 0.667547i
\(176\) −0.994885 1.54807i −0.0749923 0.116690i
\(177\) −0.603996 2.48970i −0.0453991 0.187138i
\(178\) 1.00316 + 0.401604i 0.0751898 + 0.0301015i
\(179\) −4.36101 6.12418i −0.325957 0.457742i 0.618784 0.785561i \(-0.287626\pi\)
−0.944741 + 0.327819i \(0.893686\pi\)
\(180\) 12.5458 5.02257i 0.935106 0.374360i
\(181\) 13.3178 + 8.55882i 0.989903 + 0.636172i 0.932117 0.362157i \(-0.117960\pi\)
0.0577861 + 0.998329i \(0.481596\pi\)
\(182\) −0.208618 + 0.293542i −0.0154638 + 0.0217588i
\(183\) 35.8543i 2.65042i
\(184\) −3.15367 + 3.61308i −0.232492 + 0.266360i
\(185\) −10.3053 5.94979i −0.757663 0.437437i
\(186\) 13.5744 2.61625i 0.995323 0.191833i
\(187\) 12.0982 + 0.576310i 0.884710 + 0.0421439i
\(188\) 0.913797 + 0.131384i 0.0666455 + 0.00958218i
\(189\) −7.68571 + 8.88655i −0.559053 + 0.646401i
\(190\) 1.41527 + 9.84344i 0.102675 + 0.714118i
\(191\) 7.63140 1.85136i 0.552189 0.133959i 0.0500501 0.998747i \(-0.484062\pi\)
0.502139 + 0.864787i \(0.332547\pi\)
\(192\) 2.75546 0.131259i 0.198858 0.00947278i
\(193\) −12.4012 1.18417i −0.892658 0.0852385i −0.361363 0.932425i \(-0.617688\pi\)
−0.531295 + 0.847187i \(0.678294\pi\)
\(194\) −12.3089 11.7365i −0.883726 0.842631i
\(195\) 0.720830 0.831882i 0.0516197 0.0595723i
\(196\) −1.63760 + 6.80575i −0.116971 + 0.486125i
\(197\) 18.2082 5.34640i 1.29728 0.380915i 0.441036 0.897490i \(-0.354611\pi\)
0.856242 + 0.516574i \(0.172793\pi\)
\(198\) −6.90997 4.92057i −0.491071 0.349690i
\(199\) 0.326830 + 6.86100i 0.0231683 + 0.486363i 0.980397 + 0.197031i \(0.0631301\pi\)
−0.957229 + 0.289332i \(0.906567\pi\)
\(200\) −2.60105 + 2.48010i −0.183922 + 0.175369i
\(201\) −1.93311 + 1.52021i −0.136351 + 0.107228i
\(202\) −4.56192 2.08336i −0.320976 0.146585i
\(203\) 17.6942 + 8.06069i 1.24189 + 0.565750i
\(204\) −9.81624 + 15.2744i −0.687274 + 1.06942i
\(205\) −6.85157 2.37135i −0.478534 0.165622i
\(206\) 2.58347 4.47470i 0.179999 0.311767i
\(207\) −7.30617 + 20.8656i −0.507814 + 1.45026i
\(208\) 0.117878 0.0680568i 0.00817336 0.00471889i
\(209\) 4.71776 4.08796i 0.326334 0.282770i
\(210\) 6.97903 20.2257i 0.481599 1.39571i
\(211\) −1.22329 + 8.50820i −0.0842151 + 0.585729i 0.903396 + 0.428807i \(0.141066\pi\)
−0.987611 + 0.156922i \(0.949843\pi\)
\(212\) 1.32507 + 13.8768i 0.0910064 + 0.953062i
\(213\) −12.2881 + 30.6942i −0.841967 + 2.10313i
\(214\) 0.145002 + 0.152073i 0.00991212 + 0.0103955i
\(215\) −9.48760 + 18.4034i −0.647049 + 1.25510i
\(216\) 4.03944 1.84475i 0.274849 0.125519i
\(217\) 6.61866 11.4886i 0.449304 0.779899i
\(218\) 1.96462 + 1.70235i 0.133061 + 0.115298i
\(219\) 5.81090 + 1.11996i 0.392664 + 0.0756798i
\(220\) 5.24254 + 1.27183i 0.353452 + 0.0857466i
\(221\) −0.0851591 + 0.891827i −0.00572842 + 0.0599908i
\(222\) −9.95275 5.13100i −0.667985 0.344370i
\(223\) −2.14637 + 7.30988i −0.143732 + 0.489506i −0.999617 0.0276596i \(-0.991195\pi\)
0.855886 + 0.517165i \(0.173013\pi\)
\(224\) 1.63355 2.08123i 0.109146 0.139058i
\(225\) −6.88229 + 15.0701i −0.458819 + 1.00467i
\(226\) −1.61688 4.03876i −0.107553 0.268654i
\(227\) −17.0926 + 8.81184i −1.13447 + 0.584862i −0.920020 0.391872i \(-0.871828\pi\)
−0.214454 + 0.976734i \(0.568797\pi\)
\(228\) 1.77100 + 9.18883i 0.117287 + 0.608545i
\(229\) −11.1160 19.2534i −0.734564 1.27230i −0.954914 0.296881i \(-0.904053\pi\)
0.220351 0.975421i \(-0.429280\pi\)
\(230\) −0.618226 14.0456i −0.0407646 0.926138i
\(231\) −13.0492 + 3.17860i −0.858572 + 0.209137i
\(232\) −4.81260 5.55403i −0.315962 0.364640i
\(233\) 0.320300 6.72393i 0.0209836 0.440499i −0.963791 0.266660i \(-0.914080\pi\)
0.984774 0.173839i \(-0.0556172\pi\)
\(234\) 0.387867 0.493213i 0.0253556 0.0322423i
\(235\) −2.20455 + 1.56986i −0.143809 + 0.102406i
\(236\) 0.574089 + 0.730014i 0.0373700 + 0.0475199i
\(237\) 41.3863 + 12.1521i 2.68833 + 0.789365i
\(238\) 4.92170 + 16.7040i 0.319027 + 1.08276i
\(239\) 9.97199 + 21.8356i 0.645034 + 1.41243i 0.895834 + 0.444389i \(0.146579\pi\)
−0.250800 + 0.968039i \(0.580694\pi\)
\(240\) −5.58060 + 5.85277i −0.360226 + 0.377794i
\(241\) 3.75896 + 10.8608i 0.242136 + 0.699605i 0.998943 + 0.0459669i \(0.0146369\pi\)
−0.756807 + 0.653638i \(0.773242\pi\)
\(242\) 2.49019 + 7.19493i 0.160076 + 0.462508i
\(243\) −12.1996 + 12.7946i −0.782607 + 0.820775i
\(244\) 5.39929 + 11.8228i 0.345654 + 0.756877i
\(245\) −10.2936 17.7523i −0.657633 1.13415i
\(246\) −6.54621 1.92214i −0.417371 0.122551i
\(247\) 0.285427 + 0.362950i 0.0181613 + 0.0230940i
\(248\) −4.08212 + 2.90687i −0.259215 + 0.184586i
\(249\) −22.0168 + 27.9966i −1.39526 + 1.77421i
\(250\) −0.196130 + 4.11728i −0.0124044 + 0.260399i
\(251\) −1.32241 1.52615i −0.0834700 0.0963296i 0.712478 0.701694i \(-0.247573\pi\)
−0.795948 + 0.605365i \(0.793027\pi\)
\(252\) 3.42518 11.7055i 0.215766 0.737378i
\(253\) −7.20730 + 5.09315i −0.453119 + 0.320204i
\(254\) −7.57391 13.1184i −0.475230 0.823122i
\(255\) −10.0733 52.2652i −0.630814 3.27297i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) 9.84391 + 24.5889i 0.614046 + 1.53381i 0.830207 + 0.557455i \(0.188222\pi\)
−0.216161 + 0.976358i \(0.569354\pi\)
\(258\) −8.09373 + 17.7228i −0.503894 + 1.10337i
\(259\) −9.96648 + 4.00078i −0.619287 + 0.248597i
\(260\) −0.112418 + 0.382859i −0.00697185 + 0.0237439i
\(261\) −30.1115 15.5236i −1.86386 0.960885i
\(262\) −0.796808 + 8.34456i −0.0492270 + 0.515528i
\(263\) 17.0229 + 4.12972i 1.04968 + 0.254649i 0.723260 0.690576i \(-0.242643\pi\)
0.326419 + 0.945225i \(0.394158\pi\)
\(264\) 4.98460 + 0.960703i 0.306781 + 0.0591272i
\(265\) −30.8840 26.7612i −1.89719 1.64393i
\(266\) 7.77692 + 4.48032i 0.476833 + 0.274706i
\(267\) −2.71145 + 1.23828i −0.165938 + 0.0757812i
\(268\) 0.408506 0.792390i 0.0249535 0.0484029i
\(269\) 4.98785 + 5.23110i 0.304114 + 0.318946i 0.858003 0.513645i \(-0.171705\pi\)
−0.553889 + 0.832591i \(0.686857\pi\)
\(270\) −4.83838 + 12.0857i −0.294454 + 0.735511i
\(271\) −1.14094 11.9485i −0.0693071 0.725817i −0.961617 0.274394i \(-0.911523\pi\)
0.892310 0.451423i \(-0.149083\pi\)
\(272\) 0.936700 6.51489i 0.0567958 0.395023i
\(273\) −0.188919 0.975300i −0.0114339 0.0590278i
\(274\) 17.3111 15.0002i 1.04580 0.906193i
\(275\) −5.72749 + 3.30677i −0.345381 + 0.199406i
\(276\) −1.20998 13.1743i −0.0728321 0.792997i
\(277\) 1.60279 2.77612i 0.0963024 0.166801i −0.813849 0.581076i \(-0.802632\pi\)
0.910151 + 0.414276i \(0.135965\pi\)
\(278\) −1.91687 0.663435i −0.114966 0.0397902i
\(279\) −12.4895 + 19.4340i −0.747725 + 1.16348i
\(280\) 0.744479 + 7.72032i 0.0444912 + 0.461377i
\(281\) −8.15802 3.72564i −0.486667 0.222253i 0.156942 0.987608i \(-0.449836\pi\)
−0.643609 + 0.765354i \(0.722564\pi\)
\(282\) −2.00185 + 1.57427i −0.119208 + 0.0937465i
\(283\) 13.6638 13.0284i 0.812229 0.774459i −0.165080 0.986280i \(-0.552788\pi\)
0.977308 + 0.211822i \(0.0679396\pi\)
\(284\) −0.570285 11.9718i −0.0338402 0.710393i
\(285\) −22.3464 15.9128i −1.32369 0.942593i
\(286\) 0.240330 0.0705671i 0.0142110 0.00417272i
\(287\) −5.50144 + 3.54283i −0.324740 + 0.209127i
\(288\) −3.01877 + 3.48385i −0.177883 + 0.205288i
\(289\) 19.0495 + 18.1637i 1.12056 + 1.06845i
\(290\) 21.4465 + 2.04789i 1.25938 + 0.120256i
\(291\) 46.8634 2.23238i 2.74718 0.130864i
\(292\) −2.08478 + 0.505761i −0.122002 + 0.0295974i
\(293\) −3.96197 27.5561i −0.231461 1.60984i −0.691792 0.722097i \(-0.743179\pi\)
0.460332 0.887747i \(-0.347730\pi\)
\(294\) −10.4702 16.2251i −0.610632 0.946270i
\(295\) −2.69483 0.387459i −0.156899 0.0225587i
\(296\) 4.05455 + 0.193142i 0.235666 + 0.0112262i
\(297\) 8.02415 1.54653i 0.465608 0.0897386i
\(298\) 17.1488 + 9.90087i 0.993404 + 0.573542i
\(299\) −0.350932 0.550423i −0.0202949 0.0318318i
\(300\) 9.91416i 0.572395i
\(301\) 7.77855 + 16.9906i 0.448348 + 0.979323i
\(302\) −17.0550 10.9606i −0.981405 0.630711i
\(303\) 12.8437 5.14182i 0.737848 0.295390i
\(304\) −1.96773 2.76328i −0.112857 0.158485i
\(305\) −35.3729 14.1612i −2.02545 0.810866i
\(306\) −7.15318 29.4858i −0.408920 1.68559i
\(307\) −3.83417 5.96609i −0.218828 0.340503i 0.714432 0.699705i \(-0.246685\pi\)
−0.933260 + 0.359202i \(0.883049\pi\)
\(308\) 3.82424 3.01320i 0.217906 0.171693i
\(309\) 4.01566 + 13.6761i 0.228443 + 0.778004i
\(310\) 2.78028 14.4255i 0.157909 0.819312i
\(311\) −9.57886 + 3.31528i −0.543167 + 0.187992i −0.584854 0.811139i \(-0.698848\pi\)
0.0416865 + 0.999131i \(0.486727\pi\)
\(312\) −0.0885229 + 0.364897i −0.00501163 + 0.0206582i
\(313\) 2.26723 3.18388i 0.128152 0.179964i −0.745515 0.666489i \(-0.767796\pi\)
0.873667 + 0.486525i \(0.161736\pi\)
\(314\) 2.07178 1.33145i 0.116917 0.0751381i
\(315\) 16.4132 + 31.7642i 0.924777 + 1.78971i
\(316\) −15.4769 + 2.22525i −0.870646 + 0.125180i
\(317\) 6.86642 0.655664i 0.385657 0.0368257i 0.0995726 0.995030i \(-0.468252\pi\)
0.286084 + 0.958205i \(0.407646\pi\)
\(318\) −30.2272 23.7710i −1.69506 1.33301i
\(319\) −6.19690 12.0203i −0.346960 0.673008i
\(320\) 0.958813 2.77031i 0.0535993 0.154865i
\(321\) −0.579643 −0.0323525
\(322\) −10.3161 7.38775i −0.574892 0.411703i
\(323\) 22.3277 1.24235
\(324\) 0.516512 1.49236i 0.0286951 0.0829091i
\(325\) −0.224157 0.434803i −0.0124340 0.0241185i
\(326\) 8.15409 + 6.41244i 0.451613 + 0.355152i
\(327\) −7.13866 + 0.681659i −0.394769 + 0.0376958i
\(328\) 2.44804 0.351975i 0.135170 0.0194346i
\(329\) −0.113942 + 2.43988i −0.00628180 + 0.134515i
\(330\) −12.5191 + 8.04554i −0.689154 + 0.442892i
\(331\) −11.5229 + 16.1816i −0.633354 + 0.889422i −0.999148 0.0412744i \(-0.986858\pi\)
0.365794 + 0.930696i \(0.380798\pi\)
\(332\) 3.04393 12.5473i 0.167058 0.688621i
\(333\) 17.6827 6.12004i 0.969006 0.335376i
\(334\) −2.67783 + 13.8939i −0.146524 + 0.760240i
\(335\) 0.736293 + 2.50758i 0.0402280 + 0.137004i
\(336\) 1.04544 + 7.22327i 0.0570333 + 0.394061i
\(337\) 1.54017 + 2.39655i 0.0838985 + 0.130549i 0.880667 0.473737i \(-0.157095\pi\)
−0.796768 + 0.604285i \(0.793459\pi\)
\(338\) −3.06050 12.6155i −0.166469 0.686195i
\(339\) 11.1413 + 4.46029i 0.605110 + 0.242250i
\(340\) 11.1922 + 15.7173i 0.606984 + 0.852390i
\(341\) −8.56127 + 3.42742i −0.463619 + 0.185605i
\(342\) −13.1553 8.45442i −0.711359 0.457163i
\(343\) −18.3391 2.58432i −0.990216 0.139540i
\(344\) 7.06285i 0.380804i
\(345\) 29.2186 + 25.5035i 1.57308 + 1.37306i
\(346\) 20.3573 + 11.7533i 1.09442 + 0.631862i
\(347\) 22.5862 4.35313i 1.21249 0.233688i 0.457371 0.889276i \(-0.348791\pi\)
0.755119 + 0.655588i \(0.227579\pi\)
\(348\) 20.2500 + 0.964625i 1.08551 + 0.0517094i
\(349\) −20.1462 2.89659i −1.07840 0.155051i −0.419856 0.907591i \(-0.637920\pi\)
−0.658547 + 0.752540i \(0.728829\pi\)
\(350\) −7.19197 6.22013i −0.384427 0.332480i
\(351\) 0.0860214 + 0.598292i 0.00459148 + 0.0319345i
\(352\) −1.78832 + 0.433842i −0.0953179 + 0.0231239i
\(353\) 2.48303 0.118282i 0.132159 0.00629549i 0.0186016 0.999827i \(-0.494079\pi\)
0.113557 + 0.993531i \(0.463776\pi\)
\(354\) −2.55032 0.243526i −0.135548 0.0129433i
\(355\) 25.4287 + 24.2463i 1.34962 + 1.28686i
\(356\) 0.707616 0.816633i 0.0375036 0.0432814i
\(357\) −42.7185 21.9724i −2.26090 1.16290i
\(358\) −7.21370 + 2.11813i −0.381256 + 0.111947i
\(359\) 6.72077 + 4.78584i 0.354709 + 0.252587i 0.743496 0.668741i \(-0.233166\pi\)
−0.388787 + 0.921328i \(0.627106\pi\)
\(360\) −0.643012 13.4985i −0.0338897 0.711432i
\(361\) −5.42245 + 5.17029i −0.285392 + 0.272121i
\(362\) 12.4439 9.78600i 0.654038 0.514341i
\(363\) −19.1050 8.72495i −1.00275 0.457941i
\(364\) 0.209166 + 0.293152i 0.0109633 + 0.0153653i
\(365\) 3.40002 5.29054i 0.177965 0.276920i
\(366\) −33.8823 11.7268i −1.77106 0.612968i
\(367\) −2.19535 + 3.80246i −0.114596 + 0.198487i −0.917618 0.397463i \(-0.869891\pi\)
0.803022 + 0.595949i \(0.203224\pi\)
\(368\) 2.38290 + 4.16195i 0.124217 + 0.216957i
\(369\) 9.87355 5.70050i 0.513996 0.296756i
\(370\) −8.99310 + 7.79256i −0.467529 + 0.405116i
\(371\) −36.2085 + 7.01371i −1.87985 + 0.364134i
\(372\) 1.96739 13.6835i 0.102005 0.709457i
\(373\) −2.00189 20.9648i −0.103654 1.08551i −0.886320 0.463072i \(-0.846747\pi\)
0.782666 0.622441i \(-0.213859\pi\)
\(374\) 4.50156 11.2443i 0.232770 0.581431i
\(375\) −7.84671 8.22939i −0.405202 0.424964i
\(376\) 0.423032 0.820568i 0.0218162 0.0423175i
\(377\) 0.909908 0.415541i 0.0468627 0.0214015i
\(378\) 5.88404 + 10.1695i 0.302643 + 0.523063i
\(379\) −3.50290 3.03528i −0.179932 0.155912i 0.560238 0.828332i \(-0.310710\pi\)
−0.740170 + 0.672420i \(0.765255\pi\)
\(380\) 9.76495 + 1.88204i 0.500931 + 0.0965466i
\(381\) 40.6087 + 9.85155i 2.08044 + 0.504710i
\(382\) 0.746452 7.81720i 0.0381918 0.399963i
\(383\) −6.27000 3.23241i −0.320382 0.165168i 0.290532 0.956865i \(-0.406168\pi\)
−0.610914 + 0.791697i \(0.709198\pi\)
\(384\) 0.777183 2.64684i 0.0396605 0.135071i
\(385\) −2.01803 + 14.1294i −0.102848 + 0.720101i
\(386\) −5.17508 + 11.3318i −0.263405 + 0.576775i
\(387\) −12.1007 30.2260i −0.615112 1.53648i
\(388\) −15.1168 + 7.79327i −0.767441 + 0.395644i
\(389\) 1.97276 + 10.2357i 0.100023 + 0.518969i 0.997034 + 0.0769610i \(0.0245217\pi\)
−0.897011 + 0.442008i \(0.854266\pi\)
\(390\) −0.550369 0.953266i −0.0278690 0.0482705i
\(391\) −31.4116 3.11400i −1.58855 0.157482i
\(392\) 5.89584 + 3.77348i 0.297785 + 0.190589i
\(393\) −15.1429 17.4759i −0.763859 0.881540i
\(394\) 0.902955 18.9554i 0.0454902 0.954958i
\(395\) 28.3351 36.0310i 1.42569 1.81292i
\(396\) −6.90997 + 4.92057i −0.347239 + 0.247268i
\(397\) 9.58656 + 12.1903i 0.481136 + 0.611814i 0.964654 0.263520i \(-0.0848837\pi\)
−0.483518 + 0.875334i \(0.660641\pi\)
\(398\) 6.59054 + 1.93516i 0.330354 + 0.0970007i
\(399\) −23.7493 + 6.99754i −1.18895 + 0.350315i
\(400\) 1.49297 + 3.26916i 0.0746487 + 0.163458i
\(401\) −7.11388 + 7.46082i −0.355250 + 0.372576i −0.876973 0.480539i \(-0.840441\pi\)
0.521723 + 0.853115i \(0.325289\pi\)
\(402\) 0.804345 + 2.32400i 0.0401171 + 0.115911i
\(403\) −0.223097 0.644597i −0.0111133 0.0321096i
\(404\) −3.46083 + 3.62962i −0.172183 + 0.180580i
\(405\) 1.92318 + 4.21118i 0.0955637 + 0.209255i
\(406\) 13.4046 14.0846i 0.665257 0.699008i
\(407\) 7.16706 + 2.10444i 0.355258 + 0.104313i
\(408\) 11.2237 + 14.2721i 0.555657 + 0.706575i
\(409\) −1.97808 + 1.40858i −0.0978097 + 0.0696500i −0.627915 0.778282i \(-0.716092\pi\)
0.530106 + 0.847932i \(0.322152\pi\)
\(410\) −4.48186 + 5.69914i −0.221343 + 0.281461i
\(411\) −3.00660 + 63.1162i −0.148304 + 3.11329i
\(412\) −3.38362 3.90491i −0.166699 0.192381i
\(413\) −1.77672 + 1.69728i −0.0874269 + 0.0835174i
\(414\) 17.3284 + 13.7288i 0.851644 + 0.674734i
\(415\) 18.9249 + 32.7788i 0.928985 + 1.60905i
\(416\) −0.0257597 0.133654i −0.00126297 0.00655292i
\(417\) 4.97357 2.56405i 0.243557 0.125562i
\(418\) −2.32010 5.79533i −0.113480 0.283459i
\(419\) 4.76482 10.4335i 0.232777 0.509710i −0.756812 0.653632i \(-0.773244\pi\)
0.989589 + 0.143922i \(0.0459715\pi\)
\(420\) −16.8307 13.2104i −0.821254 0.644600i
\(421\) 4.30827 14.6726i 0.209972 0.715100i −0.785398 0.618991i \(-0.787542\pi\)
0.995371 0.0961097i \(-0.0306399\pi\)
\(422\) 7.64016 + 3.93878i 0.371917 + 0.191737i
\(423\) 0.404533 4.23646i 0.0196691 0.205984i
\(424\) 13.5470 + 3.28646i 0.657899 + 0.159605i
\(425\) −23.2274 4.47671i −1.12669 0.217152i
\(426\) 24.9870 + 21.6514i 1.21062 + 1.04901i
\(427\) −29.7646 + 17.2217i −1.44041 + 0.833415i
\(428\) 0.191135 0.0872884i 0.00923886 0.00421925i
\(429\) −0.316615 + 0.614148i −0.0152863 + 0.0296513i
\(430\) 14.2881 + 14.9849i 0.689034 + 0.722638i
\(431\) −11.5383 + 28.8212i −0.555779 + 1.38827i 0.338588 + 0.940935i \(0.390051\pi\)
−0.894367 + 0.447334i \(0.852373\pi\)
\(432\) −0.422119 4.42063i −0.0203092 0.212688i
\(433\) 3.23083 22.4709i 0.155264 1.07988i −0.751953 0.659217i \(-0.770888\pi\)
0.907216 0.420665i \(-0.138203\pi\)
\(434\) −8.69201 10.0122i −0.417230 0.480601i
\(435\) −44.9149 + 38.9190i −2.15351 + 1.86602i
\(436\) 2.25129 1.29978i 0.107817 0.0622484i
\(437\) −12.8245 + 10.0105i −0.613477 + 0.478867i
\(438\) 2.95892 5.12500i 0.141383 0.244882i
\(439\) −10.6377 3.68174i −0.507709 0.175720i 0.0611918 0.998126i \(-0.480510\pi\)
−0.568901 + 0.822406i \(0.692631\pi\)
\(440\) 2.91655 4.53823i 0.139041 0.216352i
\(441\) 31.6967 + 6.04765i 1.50937 + 0.287983i
\(442\) 0.814924 + 0.372163i 0.0387620 + 0.0177020i
\(443\) 22.6812 17.8367i 1.07762 0.847448i 0.0887211 0.996057i \(-0.471722\pi\)
0.988896 + 0.148609i \(0.0474796\pi\)
\(444\) −8.10402 + 7.72717i −0.384600 + 0.366715i
\(445\) 0.150725 + 3.16412i 0.00714507 + 0.149994i
\(446\) 6.20583 + 4.41915i 0.293855 + 0.209253i
\(447\) −52.4121 + 15.3896i −2.47901 + 0.727902i
\(448\) −1.43248 2.22441i −0.0676783 0.105094i
\(449\) 13.9174 16.0616i 0.656804 0.757992i −0.325448 0.945560i \(-0.605515\pi\)
0.982252 + 0.187568i \(0.0600604\pi\)
\(450\) 11.9903 + 11.4327i 0.565228 + 0.538944i
\(451\) 4.53059 + 0.432619i 0.213337 + 0.0203712i
\(452\) −4.34546 + 0.207000i −0.204393 + 0.00973645i
\(453\) 54.3492 13.1850i 2.55355 0.619484i
\(454\) 2.73676 + 19.0346i 0.128442 + 0.893337i
\(455\) −1.03682 0.198827i −0.0486070 0.00932114i
\(456\) 9.26269 + 1.33177i 0.433765 + 0.0623660i
\(457\) 0.192969 + 0.00919226i 0.00902672 + 0.000429996i 0.0520948 0.998642i \(-0.483410\pi\)
−0.0430681 + 0.999072i \(0.513713\pi\)
\(458\) −21.8302 + 4.20742i −1.02006 + 0.196600i
\(459\) 25.3125 + 14.6142i 1.18149 + 0.682132i
\(460\) −13.4753 4.00963i −0.628288 0.186950i
\(461\) 4.22996i 0.197009i −0.995137 0.0985045i \(-0.968594\pi\)
0.995137 0.0985045i \(-0.0314059\pi\)
\(462\) −1.26418 + 13.3711i −0.0588150 + 0.622079i
\(463\) 20.5603 + 13.2133i 0.955518 + 0.614074i 0.922754 0.385389i \(-0.125933\pi\)
0.0327641 + 0.999463i \(0.489569\pi\)
\(464\) −6.82261 + 2.73136i −0.316732 + 0.126800i
\(465\) 23.5075 + 33.0117i 1.09014 + 1.53088i
\(466\) −6.24936 2.50187i −0.289496 0.115897i
\(467\) 1.82343 + 7.51630i 0.0843785 + 0.347813i 0.998314 0.0580469i \(-0.0184873\pi\)
−0.913935 + 0.405860i \(0.866972\pi\)
\(468\) −0.339228 0.527848i −0.0156808 0.0243998i
\(469\) 2.19053 + 0.874582i 0.101149 + 0.0403845i
\(470\) 0.762476 + 2.59675i 0.0351704 + 0.119779i
\(471\) −1.28570 + 6.67087i −0.0592421 + 0.307377i
\(472\) 0.877630 0.303751i 0.0403962 0.0139813i
\(473\) 3.06417 12.6307i 0.140890 0.580759i
\(474\) 25.0199 35.1355i 1.14920 1.61383i
\(475\) −10.2563 + 6.59132i −0.470591 + 0.302431i
\(476\) 17.3951 + 0.812343i 0.797302 + 0.0372337i
\(477\) 63.6060 9.14516i 2.91232 0.418728i
\(478\) 23.8962 2.28181i 1.09299 0.104367i
\(479\) −24.2632 19.0808i −1.10861 0.871824i −0.116013 0.993248i \(-0.537012\pi\)
−0.992601 + 0.121424i \(0.961254\pi\)
\(480\) 3.70563 + 7.18793i 0.169138 + 0.328082i
\(481\) −0.180707 + 0.522118i −0.00823953 + 0.0238065i
\(482\) 11.4929 0.523487
\(483\) 34.3876 6.53219i 1.56469 0.297225i
\(484\) 7.61368 0.346076
\(485\) 16.3070 47.1159i 0.740462 2.13942i
\(486\) 8.10081 + 15.7134i 0.367460 + 0.712773i
\(487\) 17.8710 + 14.0539i 0.809813 + 0.636844i 0.934744 0.355321i \(-0.115629\pi\)
−0.124931 + 0.992165i \(0.539871\pi\)
\(488\) 12.9385 1.23548i 0.585698 0.0559273i
\(489\) −28.3248 + 4.07249i −1.28089 + 0.184164i
\(490\) −20.1427 + 3.92123i −0.909953 + 0.177143i
\(491\) 8.30842 5.33950i 0.374954 0.240968i −0.339568 0.940582i \(-0.610281\pi\)
0.714521 + 0.699614i \(0.246644\pi\)
\(492\) −3.95748 + 5.55750i −0.178417 + 0.250551i
\(493\) 11.4038 47.0070i 0.513600 2.11709i
\(494\) 0.436343 0.151020i 0.0196320 0.00679469i
\(495\) 4.70630 24.4186i 0.211532 1.09753i
\(496\) 1.41186 + 4.80835i 0.0633944 + 0.215901i
\(497\) 31.3832 4.54215i 1.40773 0.203743i
\(498\) 19.2558 + 29.9626i 0.862874 + 1.34266i
\(499\) −5.51651 22.7394i −0.246953 1.01795i −0.951341 0.308139i \(-0.900294\pi\)
0.704389 0.709815i \(-0.251221\pi\)
\(500\) 3.82668 + 1.53197i 0.171134 + 0.0685119i
\(501\) −22.6413 31.7952i −1.01154 1.42051i
\(502\) −1.87473 + 0.750529i −0.0836733 + 0.0334977i
\(503\) −18.7486 12.0490i −0.835957 0.537237i 0.0512086 0.998688i \(-0.483693\pi\)
−0.887166 + 0.461451i \(0.847329\pi\)
\(504\) −9.94146 7.06529i −0.442828 0.314713i
\(505\) 14.7021i 0.654233i
\(506\) 2.45576 + 8.47671i 0.109172 + 0.376836i
\(507\) 31.0128 + 17.9052i 1.37733 + 0.795200i
\(508\) −14.8741 + 2.86674i −0.659931 + 0.127191i
\(509\) −37.2228 1.77314i −1.64987 0.0785931i −0.798107 0.602516i \(-0.794165\pi\)
−0.851766 + 0.523923i \(0.824468\pi\)
\(510\) −52.6853 7.57500i −2.33294 0.335427i
\(511\) −1.86138 5.36189i −0.0823425 0.237196i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) 14.6397 3.55154i 0.646357 0.156804i
\(514\) 26.4562 1.26026i 1.16693 0.0555878i
\(515\) 15.0785 + 1.43982i 0.664438 + 0.0634461i
\(516\) 14.1009 + 13.4451i 0.620756 + 0.591889i
\(517\) 1.11252 1.28391i 0.0489284 0.0564663i
\(518\) 0.521027 + 10.7269i 0.0228926 + 0.471311i
\(519\) −62.2184 + 18.2690i −2.73108 + 0.801918i
\(520\) 0.325034 + 0.231456i 0.0142537 + 0.0101500i
\(521\) 1.16115 + 24.3755i 0.0508709 + 1.06791i 0.869608 + 0.493743i \(0.164371\pi\)
−0.818737 + 0.574168i \(0.805325\pi\)
\(522\) −24.5183 + 23.3782i −1.07314 + 1.02323i
\(523\) 17.0114 13.3779i 0.743855 0.584974i −0.172657 0.984982i \(-0.555235\pi\)
0.916512 + 0.400008i \(0.130993\pi\)
\(524\) 7.62500 + 3.48222i 0.333100 + 0.152122i
\(525\) 26.1093 2.51775i 1.13950 0.109884i
\(526\) 9.47024 14.7360i 0.412922 0.642519i
\(527\) −31.1700 10.7880i −1.35779 0.469934i
\(528\) 2.53817 4.39623i 0.110460 0.191322i
\(529\) 19.4382 12.2946i 0.845138 0.534549i
\(530\) −35.3905 + 20.4327i −1.53727 + 0.887541i
\(531\) 3.23548 2.80356i 0.140408 0.121664i
\(532\) 6.77749 5.88382i 0.293842 0.255096i
\(533\) −0.0479086 + 0.333211i −0.00207515 + 0.0144330i
\(534\) 0.283345 + 2.96732i 0.0122615 + 0.128408i
\(535\) −0.228939 + 0.571861i −0.00989788 + 0.0247237i
\(536\) −0.615200 0.645204i −0.0265726 0.0278686i
\(537\) 9.50348 18.4342i 0.410105 0.795493i
\(538\) 6.57476 3.00259i 0.283458 0.129451i
\(539\) 8.90656 + 9.30606i 0.383633 + 0.400840i
\(540\) 9.83850 + 8.52511i 0.423382 + 0.366862i
\(541\) −7.26220 1.39967i −0.312226 0.0601767i 0.0307309 0.999528i \(-0.490217\pi\)
−0.342957 + 0.939351i \(0.611429\pi\)
\(542\) −11.6645 2.82977i −0.501031 0.121549i
\(543\) −4.15118 + 43.4731i −0.178144 + 1.86561i
\(544\) −5.85021 3.01599i −0.250826 0.129310i
\(545\) −2.14701 + 7.31205i −0.0919678 + 0.313214i
\(546\) −0.983449 0.140461i −0.0420877 0.00601118i
\(547\) −6.27532 + 13.7410i −0.268313 + 0.587524i −0.995048 0.0993938i \(-0.968310\pi\)
0.726735 + 0.686918i \(0.241037\pi\)
\(548\) −8.51325 21.2651i −0.363668 0.908399i
\(549\) 53.2545 27.4546i 2.27285 1.17173i
\(550\) 1.25162 + 6.49402i 0.0533693 + 0.276906i
\(551\) −12.4651 21.5901i −0.531029 0.919770i
\(552\) −12.8454 3.16545i −0.546738 0.134730i
\(553\) −9.79072 40.1940i −0.416344 1.70922i
\(554\) −2.09921 2.42262i −0.0891869 0.102927i
\(555\) 1.56192 32.7888i 0.0662999 1.39181i
\(556\) −1.25389 + 1.59446i −0.0531769 + 0.0676200i
\(557\) −1.42132 + 1.01212i −0.0602234 + 0.0428849i −0.609772 0.792577i \(-0.708739\pi\)
0.549549 + 0.835462i \(0.314800\pi\)
\(558\) 14.2802 + 18.1588i 0.604531 + 0.768723i
\(559\) 0.922409 + 0.270844i 0.0390137 + 0.0114555i
\(560\) 7.53920 + 1.82153i 0.318589 + 0.0769739i
\(561\) 13.8798 + 30.3925i 0.586005 + 1.28317i
\(562\) −6.18897 + 6.49080i −0.261066 + 0.273798i
\(563\) −6.44611 18.6248i −0.271671 0.784943i −0.995483 0.0949446i \(-0.969733\pi\)
0.723811 0.689998i \(-0.242389\pi\)
\(564\) 0.832947 + 2.40664i 0.0350734 + 0.101338i
\(565\) 8.80081 9.23003i 0.370253 0.388310i
\(566\) −7.84287 17.1735i −0.329660 0.721855i
\(567\) 4.06136 + 0.981259i 0.170561 + 0.0412090i
\(568\) −11.4998 3.37666i −0.482523 0.141681i
\(569\) 11.8957 + 15.1266i 0.498693 + 0.634140i 0.968614 0.248568i \(-0.0799601\pi\)
−0.469921 + 0.882708i \(0.655718\pi\)
\(570\) −22.3464 + 15.9128i −0.935988 + 0.666514i
\(571\) −2.32849 + 2.96092i −0.0974443 + 0.123910i −0.832330 0.554281i \(-0.812993\pi\)
0.734886 + 0.678191i \(0.237236\pi\)
\(572\) 0.0119181 0.250192i 0.000498321 0.0104610i
\(573\) 14.1859 + 16.3714i 0.592625 + 0.683926i
\(574\) 1.54863 + 6.35761i 0.0646386 + 0.265362i
\(575\) 15.3483 7.84255i 0.640069 0.327057i
\(576\) 2.30489 + 3.99219i 0.0960372 + 0.166341i
\(577\) −8.06278 41.8337i −0.335658 1.74156i −0.621622 0.783318i \(-0.713526\pi\)
0.285964 0.958240i \(-0.407686\pi\)
\(578\) 23.3952 12.0611i 0.973112 0.501674i
\(579\) −12.7723 31.9037i −0.530799 1.32587i
\(580\) 8.94970 19.5971i 0.371616 0.813726i
\(581\) 33.8167 + 4.82987i 1.40295 + 0.200377i
\(582\) 13.2179 45.0161i 0.547900 1.86598i
\(583\) 22.8006 + 11.7545i 0.944303 + 0.486822i
\(584\) −0.203919 + 2.13553i −0.00843821 + 0.0883690i
\(585\) 1.78756 + 0.433657i 0.0739065 + 0.0179295i
\(586\) −27.3364 5.26865i −1.12925 0.217646i
\(587\) 17.6614 + 15.3037i 0.728966 + 0.631652i 0.938152 0.346223i \(-0.112536\pi\)
−0.209186 + 0.977876i \(0.567082\pi\)
\(588\) −18.7572 + 4.58758i −0.773535 + 0.189189i
\(589\) −15.4637 + 7.06205i −0.637172 + 0.290987i
\(590\) −1.24754 + 2.41990i −0.0513605 + 0.0996255i
\(591\) 36.1251 + 37.8870i 1.48599 + 1.55846i
\(592\) 1.50863 3.76839i 0.0620045 0.154880i
\(593\) −1.79340 18.7813i −0.0736460 0.771256i −0.954568 0.297994i \(-0.903682\pi\)
0.880922 0.473262i \(-0.156924\pi\)
\(594\) 1.16297 8.08864i 0.0477173 0.331881i
\(595\) −38.5497 + 33.4666i −1.58038 + 1.37200i
\(596\) 14.9652 12.9674i 0.612997 0.531165i
\(597\) −16.4095 + 9.47405i −0.671598 + 0.387747i
\(598\) −0.634929 + 0.151605i −0.0259642 + 0.00619961i
\(599\) −8.01620 + 13.8845i −0.327533 + 0.567304i −0.982022 0.188768i \(-0.939551\pi\)
0.654489 + 0.756072i \(0.272884\pi\)
\(600\) −9.36889 3.24261i −0.382483 0.132379i
\(601\) −3.78731 + 5.89317i −0.154488 + 0.240388i −0.909867 0.414900i \(-0.863816\pi\)
0.755379 + 0.655288i \(0.227453\pi\)
\(602\) 18.6003 1.79365i 0.758090 0.0731036i
\(603\) −3.73822 1.70719i −0.152232 0.0695220i
\(604\) −15.9359 + 12.5321i −0.648423 + 0.509925i
\(605\) −16.1536 + 15.4024i −0.656738 + 0.626198i
\(606\) −0.658279 13.8190i −0.0267408 0.561358i
\(607\) −19.8236 14.1163i −0.804613 0.572962i 0.102069 0.994777i \(-0.467454\pi\)
−0.906682 + 0.421815i \(0.861393\pi\)
\(608\) −3.25489 + 0.955721i −0.132003 + 0.0387596i
\(609\) 2.60221 + 53.5740i 0.105447 + 2.17093i
\(610\) −24.9517 + 28.7957i −1.01026 + 1.16591i
\(611\) 0.0909439 + 0.0867148i 0.00367920 + 0.00350811i
\(612\) −30.2037 2.88410i −1.22091 0.116583i
\(613\) 3.99137 0.190133i 0.161210 0.00767938i 0.0331783 0.999449i \(-0.489437\pi\)
0.128032 + 0.991770i \(0.459134\pi\)
\(614\) −6.89200 + 1.67198i −0.278138 + 0.0674756i
\(615\) −2.84639 19.7971i −0.114777 0.798295i
\(616\) −1.59669 4.59944i −0.0643326 0.185317i
\(617\) −18.2212 2.61982i −0.733560 0.105470i −0.234596 0.972093i \(-0.575377\pi\)
−0.498964 + 0.866623i \(0.666286\pi\)
\(618\) 14.2373 + 0.678206i 0.572708 + 0.0272814i
\(619\) −21.0725 + 4.06139i −0.846974 + 0.163241i −0.594233 0.804293i \(-0.702544\pi\)
−0.252741 + 0.967534i \(0.581332\pi\)
\(620\) −12.7227 7.34548i −0.510958 0.295002i
\(621\) −21.0911 + 2.95471i −0.846355 + 0.118568i
\(622\) 10.1364i 0.406431i
\(623\) 2.33033 + 1.65614i 0.0933628 + 0.0663520i
\(624\) 0.315875 + 0.203000i 0.0126451 + 0.00812651i
\(625\) −27.9005 + 11.1697i −1.11602 + 0.446788i
\(626\) −2.26723 3.18388i −0.0906168 0.127254i
\(627\) 15.9869 + 6.40019i 0.638455 + 0.255599i
\(628\) −0.580610 2.39330i −0.0231688 0.0955033i
\(629\) 14.4442 + 22.4757i 0.575929 + 0.896163i
\(630\) 35.3854 5.12140i 1.40979 0.204041i
\(631\) 1.96041 + 6.67655i 0.0780427 + 0.265789i 0.989266 0.146123i \(-0.0466794\pi\)
−0.911224 + 0.411912i \(0.864861\pi\)
\(632\) −2.95915 + 15.3535i −0.117709 + 0.610731i
\(633\) −22.4078 + 7.75542i −0.890631 + 0.308250i
\(634\) 1.62618 6.70322i 0.0645840 0.266219i
\(635\) 25.7583 36.1724i 1.02219 1.43546i
\(636\) −32.3499 + 20.7900i −1.28276 + 0.824379i
\(637\) −0.718907 + 0.625292i −0.0284841 + 0.0247750i
\(638\) −13.3860 + 1.92462i −0.529957 + 0.0761964i
\(639\) −54.9997 + 5.25183i −2.17575 + 0.207759i
\(640\) −2.30435 1.81216i −0.0910873 0.0716318i
\(641\) −18.3737 35.6401i −0.725719 1.40770i −0.905653 0.424020i \(-0.860619\pi\)
0.179933 0.983679i \(-0.442412\pi\)
\(642\) −0.189583 + 0.547763i −0.00748223 + 0.0216185i
\(643\) 24.8396 0.979578 0.489789 0.871841i \(-0.337074\pi\)
0.489789 + 0.871841i \(0.337074\pi\)
\(644\) −10.3555 + 7.33239i −0.408063 + 0.288937i
\(645\) −57.1166 −2.24896
\(646\) 7.30268 21.0997i 0.287320 0.830157i
\(647\) −17.3026 33.5623i −0.680233 1.31947i −0.935750 0.352664i \(-0.885276\pi\)
0.255517 0.966805i \(-0.417754\pi\)
\(648\) −1.24135 0.976209i −0.0487648 0.0383491i
\(649\) 1.70127 0.162451i 0.0667805 0.00637677i
\(650\) −0.484204 + 0.0696180i −0.0189920 + 0.00273064i
\(651\) 36.5356 + 1.70620i 1.43194 + 0.0668712i
\(652\) 8.72671 5.60831i 0.341764 0.219639i
\(653\) −20.3852 + 28.6270i −0.797733 + 1.12026i 0.192563 + 0.981285i \(0.438320\pi\)
−0.990296 + 0.138975i \(0.955619\pi\)
\(654\) −1.69066 + 6.96898i −0.0661099 + 0.272509i
\(655\) −23.2221 + 8.03726i −0.907364 + 0.314042i
\(656\) 0.468059 2.42852i 0.0182746 0.0948178i
\(657\) 2.78609 + 9.48855i 0.108696 + 0.370184i
\(658\) 2.26842 + 0.905682i 0.0884324 + 0.0353072i
\(659\) −17.2083 26.7766i −0.670339 1.04307i −0.995253 0.0973246i \(-0.968971\pi\)
0.324913 0.945744i \(-0.394665\pi\)
\(660\) 3.50844 + 14.4620i 0.136566 + 0.562932i
\(661\) −7.09759 2.84145i −0.276064 0.110519i 0.229499 0.973309i \(-0.426291\pi\)
−0.505564 + 0.862789i \(0.668715\pi\)
\(662\) 11.5229 + 16.1816i 0.447849 + 0.628916i
\(663\) −2.29434 + 0.918516i −0.0891048 + 0.0356722i
\(664\) −10.8616 6.98033i −0.421512 0.270889i
\(665\) −2.47656 + 26.1943i −0.0960368 + 1.01577i
\(666\) 18.7118i 0.725069i
\(667\) 14.5253 + 32.1124i 0.562421 + 1.24340i
\(668\) 12.2539 + 7.07480i 0.474118 + 0.273732i
\(669\) −20.6364 + 3.97735i −0.797850 + 0.153773i
\(670\) 2.61049 + 0.124353i 0.100852 + 0.00480417i
\(671\) 23.6742 + 3.40384i 0.913932 + 0.131404i
\(672\) 7.16792 + 1.37456i 0.276509 + 0.0530248i
\(673\) −4.01415 27.9190i −0.154734 1.07620i −0.908147 0.418651i \(-0.862503\pi\)
0.753413 0.657547i \(-0.228406\pi\)
\(674\) 2.76849 0.671628i 0.106638 0.0258701i
\(675\) −15.9416 + 0.759393i −0.613593 + 0.0292291i
\(676\) −12.9227 1.23397i −0.497027 0.0474603i
\(677\) 12.9373 + 12.3357i 0.497220 + 0.474098i 0.896697 0.442645i \(-0.145960\pi\)
−0.399477 + 0.916743i \(0.630808\pi\)
\(678\) 7.85893 9.06968i 0.301820 0.348319i
\(679\) −24.3629 37.8316i −0.934961 1.45184i
\(680\) 18.5135 5.43605i 0.709959 0.208463i
\(681\) −43.2120 30.7711i −1.65589 1.17915i
\(682\) 0.438794 + 9.21141i 0.0168023 + 0.352723i
\(683\) 5.40881 5.15729i 0.206963 0.197338i −0.579507 0.814967i \(-0.696755\pi\)
0.786470 + 0.617629i \(0.211907\pi\)
\(684\) −12.2921 + 9.66663i −0.470001 + 0.369613i
\(685\) 61.0813 + 27.8949i 2.33380 + 1.06581i
\(686\) −8.44031 + 16.4852i −0.322252 + 0.629407i
\(687\) 33.1568 51.5930i 1.26501 1.96839i
\(688\) −6.67440 2.31003i −0.254459 0.0880692i
\(689\) −0.948706 + 1.64321i −0.0361428 + 0.0626012i
\(690\) 33.6573 19.2702i 1.28131 0.733606i
\(691\) −9.15076 + 5.28319i −0.348111 + 0.200982i −0.663853 0.747863i \(-0.731080\pi\)
0.315742 + 0.948845i \(0.397747\pi\)
\(692\) 17.7651 15.3936i 0.675329 0.585176i
\(693\) −14.7133 16.9481i −0.558913 0.643803i
\(694\) 3.27351 22.7677i 0.124261 0.864251i
\(695\) −0.565244 5.91951i −0.0214409 0.224540i
\(696\) 7.53469 18.8207i 0.285602 0.713399i
\(697\) 11.2334 + 11.7812i 0.425495 + 0.446246i
\(698\) −9.32647 + 18.0908i −0.353012 + 0.684748i
\(699\) 16.8915 7.71408i 0.638894 0.291773i
\(700\) −8.23029 + 4.76202i −0.311076 + 0.179987i
\(701\) 24.7702 + 21.4635i 0.935558 + 0.810666i 0.982121 0.188250i \(-0.0602814\pi\)
−0.0465631 + 0.998915i \(0.514827\pi\)
\(702\) 0.593521 + 0.114392i 0.0224010 + 0.00431744i
\(703\) 13.3817 + 3.24637i 0.504700 + 0.122439i
\(704\) −0.174922 + 1.83186i −0.00659261 + 0.0690409i
\(705\) −6.63585 3.42102i −0.249921 0.128843i
\(706\) 0.700345 2.38516i 0.0263578 0.0897665i
\(707\) −10.4376 8.19247i −0.392547 0.308110i
\(708\) −1.06426 + 2.33040i −0.0399973 + 0.0875820i
\(709\) 0.738647 + 1.84505i 0.0277405 + 0.0692924i 0.941591 0.336757i \(-0.109330\pi\)
−0.913851 + 0.406050i \(0.866906\pi\)
\(710\) 31.2297 16.1000i 1.17203 0.604223i
\(711\) 13.6411 + 70.7766i 0.511580 + 2.65433i
\(712\) −0.540280 0.935792i −0.0202478 0.0350703i
\(713\) 22.7400 7.77851i 0.851619 0.291308i
\(714\) −34.7358 + 33.1825i −1.29995 + 1.24182i
\(715\) 0.480851 + 0.554931i 0.0179828 + 0.0207533i
\(716\) −0.357732 + 7.50972i −0.0133691 + 0.280652i
\(717\) −40.9342 + 52.0520i −1.52871 + 1.94392i
\(718\) 6.72077 4.78584i 0.250817 0.178606i
\(719\) 1.76645 + 2.24622i 0.0658774 + 0.0837699i 0.817875 0.575396i \(-0.195152\pi\)
−0.751998 + 0.659166i \(0.770910\pi\)
\(720\) −12.9664 3.80727i −0.483228 0.141889i
\(721\) 9.42443 9.90256i 0.350984 0.368791i
\(722\) 3.11242 + 6.81525i 0.115832 + 0.253637i
\(723\) −21.8783 + 22.9453i −0.813664 + 0.853346i
\(724\) −5.17777 14.9602i −0.192430 0.555991i
\(725\) 8.63850 + 24.9593i 0.320826 + 0.926965i
\(726\) −14.4937 + 15.2006i −0.537912 + 0.564146i
\(727\) 16.6131 + 36.3776i 0.616145 + 1.34917i 0.918290 + 0.395908i \(0.129570\pi\)
−0.302145 + 0.953262i \(0.597703\pi\)
\(728\) 0.345440 0.101781i 0.0128029 0.00377226i
\(729\) −42.2468 12.4048i −1.56469 0.459436i
\(730\) −3.88753 4.94339i −0.143884 0.182963i
\(731\) 37.8671 26.9650i 1.40056 0.997338i
\(732\) −22.1636 + 28.1833i −0.819191 + 1.04169i
\(733\) 1.71088 35.9159i 0.0631930 1.32658i −0.715250 0.698869i \(-0.753687\pi\)
0.778443 0.627715i \(-0.216010\pi\)
\(734\) 2.87530 + 3.31827i 0.106129 + 0.122479i
\(735\) 30.5157 47.6790i 1.12559 1.75867i
\(736\) 4.71241 0.890599i 0.173702 0.0328279i
\(737\) −0.820260 1.42073i −0.0302147 0.0523334i
\(738\) −2.15765 11.1950i −0.0794243 0.412092i
\(739\) −23.6723 + 12.2039i −0.870800 + 0.448929i −0.834884 0.550426i \(-0.814465\pi\)
−0.0359162 + 0.999355i \(0.511435\pi\)
\(740\) 4.42262 + 11.0472i 0.162579 + 0.406102i
\(741\) −0.529132 + 1.15864i −0.0194381 + 0.0425636i
\(742\) −5.21469 + 36.5110i −0.191437 + 1.34036i
\(743\) 9.73573 33.1568i 0.357169 1.21641i −0.563518 0.826104i \(-0.690552\pi\)
0.920687 0.390302i \(-0.127630\pi\)
\(744\) −12.2875 6.33462i −0.450480 0.232239i
\(745\) −5.51797 + 57.7868i −0.202163 + 2.11714i
\(746\) −20.4665 4.96511i −0.749331 0.181786i
\(747\) −58.4424 11.2638i −2.13829 0.412123i
\(748\) −9.15360 7.93164i −0.334689 0.290009i
\(749\) 0.278417 + 0.481193i 0.0101731 + 0.0175824i
\(750\) −10.3432 + 4.72357i −0.377680 + 0.172481i
\(751\) −21.5796 + 41.8586i −0.787451 + 1.52744i 0.0609824 + 0.998139i \(0.480577\pi\)
−0.848433 + 0.529303i \(0.822454\pi\)
\(752\) −0.637077 0.668147i −0.0232318 0.0243648i
\(753\) 2.07040 5.17160i 0.0754494 0.188464i
\(754\) −0.0950849 0.995774i −0.00346279 0.0362640i
\(755\) 8.45807 58.8271i 0.307821 2.14094i
\(756\) 11.5347 2.23431i 0.419512 0.0812609i
\(757\) 2.43786 2.11242i 0.0886055 0.0767771i −0.609432 0.792838i \(-0.708602\pi\)
0.698037 + 0.716061i \(0.254057\pi\)
\(758\) −4.01403 + 2.31750i −0.145796 + 0.0841755i
\(759\) −21.5985 11.2337i −0.783975 0.407759i
\(760\) 4.97233 8.61233i 0.180365 0.312402i
\(761\) 2.06460 + 0.714565i 0.0748417 + 0.0259030i 0.364232 0.931308i \(-0.381331\pi\)
−0.289391 + 0.957211i \(0.593453\pi\)
\(762\) 22.5915 35.1531i 0.818404 1.27346i
\(763\) 3.99475 + 5.59877i 0.144620 + 0.202689i
\(764\) −7.14312 3.26215i −0.258429 0.118021i
\(765\) 69.9164 54.9828i 2.52783 1.98791i
\(766\) −5.10535 + 4.86794i −0.184464 + 0.175886i
\(767\) 0.00601482 + 0.126267i 0.000217183 + 0.00455922i
\(768\) −2.24708 1.60014i −0.0810844 0.0577399i
\(769\) 19.1028 5.60910i 0.688866 0.202269i 0.0814787 0.996675i \(-0.474036\pi\)
0.607388 + 0.794406i \(0.292218\pi\)
\(770\) 12.6923 + 6.52832i 0.457398 + 0.235264i
\(771\) −47.8469 + 55.2183i −1.72317 + 1.98864i
\(772\) 9.01599 + 8.59673i 0.324493 + 0.309403i
\(773\) −0.683722 0.0652875i −0.0245918 0.00234823i 0.0827529 0.996570i \(-0.473629\pi\)
−0.107345 + 0.994222i \(0.534235\pi\)
\(774\) −32.5214 + 1.54918i −1.16896 + 0.0556843i
\(775\) 17.5027 4.24612i 0.628717 0.152525i
\(776\) 2.42042 + 16.8344i 0.0868878 + 0.604318i
\(777\) −22.4078 19.3799i −0.803876 0.695249i
\(778\) 10.3179 + 1.48350i 0.369916 + 0.0531859i
\(779\) 8.38037 + 0.399206i 0.300258 + 0.0143031i
\(780\) −1.08085 + 0.208316i −0.0387005 + 0.00745891i
\(781\) −19.1005 11.0277i −0.683469 0.394601i
\(782\) −13.2165 + 28.6655i −0.472620 + 1.02508i
\(783\) 32.6351i 1.16628i
\(784\) 5.49428 4.33739i 0.196224 0.154907i
\(785\) 6.07350 + 3.90320i 0.216772 + 0.139311i
\(786\) −21.4675 + 8.59427i −0.765719 + 0.306548i
\(787\) 16.9779 + 23.8422i 0.605198 + 0.849881i 0.997552 0.0699331i \(-0.0222786\pi\)
−0.392354 + 0.919814i \(0.628339\pi\)
\(788\) −17.6175 7.05299i −0.627598 0.251252i
\(789\) 11.3922 + 46.9592i 0.405572 + 1.67179i
\(790\) −24.7818 38.5613i −0.881698 1.37195i
\(791\) −1.64869 11.3914i −0.0586208 0.405030i
\(792\) 2.38991 + 8.13929i 0.0849218 + 0.289217i
\(793\) −0.334807 + 1.73714i −0.0118893 + 0.0616878i
\(794\) 14.6553 5.07225i 0.520097 0.180007i
\(795\) 26.5773 109.553i 0.942599 3.88545i
\(796\) 3.98428 5.59514i 0.141219 0.198315i
\(797\) 9.17826 5.89851i 0.325111 0.208936i −0.367896 0.929867i \(-0.619922\pi\)
0.693007 + 0.720931i \(0.256286\pi\)
\(798\) −1.15497 + 24.7318i −0.0408854 + 0.875497i
\(799\) 6.01451 0.864755i 0.212778 0.0305929i
\(800\) 3.57766 0.341625i 0.126489 0.0120783i
\(801\) −3.91545 3.07914i −0.138346 0.108796i
\(802\) 4.72376 + 9.16282i 0.166802 + 0.323550i
\(803\) −1.29116 + 3.73055i −0.0455639 + 0.131648i
\(804\) 2.45926 0.0867313
\(805\) 7.13740 36.5059i 0.251560 1.28666i
\(806\) −0.682112 −0.0240264
\(807\) −6.52137 + 18.8422i −0.229563 + 0.663279i
\(808\) 2.29806 + 4.45762i 0.0808456 + 0.156819i
\(809\) −4.30660 3.38675i −0.151412 0.119072i 0.539579 0.841935i \(-0.318583\pi\)
−0.690991 + 0.722863i \(0.742826\pi\)
\(810\) 4.60858 0.440066i 0.161929 0.0154624i
\(811\) −11.0355 + 1.58667i −0.387509 + 0.0557154i −0.333316 0.942815i \(-0.608168\pi\)
−0.0541928 + 0.998530i \(0.517259\pi\)
\(812\) −8.92577 17.2739i −0.313233 0.606197i
\(813\) 27.8545 17.9010i 0.976901 0.627816i
\(814\) 4.33281 6.08458i 0.151865 0.213265i
\(815\) −7.16948 + 29.5530i −0.251136 + 1.03520i
\(816\) 17.1581 5.93847i 0.600653 0.207888i
\(817\) 4.53433 23.5263i 0.158636 0.823082i
\(818\) 0.684147 + 2.32999i 0.0239206 + 0.0814662i
\(819\) 1.30396 1.02742i 0.0455640 0.0359009i
\(820\) 3.91982 + 6.09936i 0.136886 + 0.212999i
\(821\) −12.6191 52.0166i −0.440410 1.81539i −0.567343 0.823482i \(-0.692028\pi\)
0.126933 0.991911i \(-0.459487\pi\)
\(822\) 58.6615 + 23.4845i 2.04606 + 0.819117i
\(823\) 15.9016 + 22.3306i 0.554294 + 0.778397i 0.992730 0.120366i \(-0.0384068\pi\)
−0.438436 + 0.898762i \(0.644467\pi\)
\(824\) −4.79682 + 1.92036i −0.167105 + 0.0668988i
\(825\) −15.3478 9.86345i −0.534343 0.343401i
\(826\) 1.02282 + 2.23413i 0.0355883 + 0.0777353i
\(827\) 22.1669i 0.770819i 0.922746 + 0.385409i \(0.125940\pi\)
−0.922746 + 0.385409i \(0.874060\pi\)
\(828\) 18.6413 11.8851i 0.647830 0.413036i
\(829\) −35.6328 20.5726i −1.23758 0.714517i −0.268981 0.963146i \(-0.586687\pi\)
−0.968599 + 0.248629i \(0.920020\pi\)
\(830\) 37.1658 7.16311i 1.29004 0.248635i
\(831\) 8.83285 + 0.420761i 0.306408 + 0.0145960i
\(832\) −0.134728 0.0193710i −0.00467086 0.000671568i
\(833\) 2.27823 + 46.0168i 0.0789360 + 1.59439i
\(834\) −0.796337 5.53865i −0.0275749 0.191788i
\(835\) −40.3109 + 9.77931i −1.39501 + 0.338427i
\(836\) −6.23542 + 0.297030i −0.215656 + 0.0102730i
\(837\) −22.1533 2.11538i −0.765730 0.0731183i
\(838\) −8.30125 7.91523i −0.286762 0.273427i
\(839\) 2.08876 2.41056i 0.0721120 0.0832216i −0.718547 0.695478i \(-0.755193\pi\)
0.790659 + 0.612257i \(0.209738\pi\)
\(840\) −17.9886 + 11.5843i −0.620665 + 0.399697i
\(841\) −23.9953 + 7.04567i −0.827426 + 0.242954i
\(842\) −12.4566 8.87027i −0.429281 0.305690i
\(843\) −1.17719 24.7123i −0.0405447 0.851137i
\(844\) 6.22100 5.93171i 0.214136 0.204178i
\(845\) 29.9138 23.5245i 1.02907 0.809267i
\(846\) −3.87115 1.76789i −0.133093 0.0607814i
\(847\) 1.93353 + 20.0509i 0.0664370 + 0.688957i
\(848\) 7.53649 11.7270i 0.258804 0.402707i
\(849\) 49.2165 + 17.0340i 1.68911 + 0.584606i
\(850\) −11.8274 + 20.4857i −0.405677 + 0.702653i
\(851\) −18.3732 6.43345i −0.629826 0.220536i
\(852\) 28.6330 16.5313i 0.980951 0.566352i
\(853\) −29.2463 + 25.3421i −1.00138 + 0.867697i −0.991216 0.132251i \(-0.957779\pi\)
−0.0101595 + 0.999948i \(0.503234\pi\)
\(854\) 6.53946 + 33.7602i 0.223776 + 1.15525i
\(855\) 6.52411 45.3762i 0.223120 1.55183i
\(856\) −0.0199735 0.209172i −0.000682680 0.00714935i
\(857\) 2.63603 6.58448i 0.0900451 0.224922i −0.876509 0.481386i \(-0.840133\pi\)
0.966554 + 0.256465i \(0.0825577\pi\)
\(858\) 0.476816 + 0.500070i 0.0162782 + 0.0170721i
\(859\) 6.57070 12.7454i 0.224189 0.434867i −0.749736 0.661738i \(-0.769819\pi\)
0.973925 + 0.226871i \(0.0728496\pi\)
\(860\) 18.8340 8.60119i 0.642233 0.293298i
\(861\) −15.6409 9.01080i −0.533040 0.307087i
\(862\) 23.4623 + 20.3302i 0.799128 + 0.692449i
\(863\) 4.33013 + 0.834565i 0.147399 + 0.0284089i 0.262417 0.964955i \(-0.415480\pi\)
−0.115018 + 0.993363i \(0.536692\pi\)
\(864\) −4.31556 1.04694i −0.146818 0.0356177i
\(865\) −6.55038 + 68.5986i −0.222719 + 2.33242i
\(866\) −20.1783 10.4026i −0.685687 0.353496i
\(867\) −20.4564 + 69.6680i −0.694735 + 2.36605i
\(868\) −12.3044 + 4.93929i −0.417639 + 0.167650i
\(869\) −11.9529 + 26.1733i −0.405476 + 0.887868i
\(870\) 22.0883 + 55.1738i 0.748862 + 1.87057i
\(871\) 0.107855 0.0556032i 0.00365453 0.00188404i
\(872\) −0.491971 2.55259i −0.0166603 0.0864416i
\(873\) 39.2004 + 67.8971i 1.32673 + 2.29797i
\(874\) 5.26546 + 15.3932i 0.178107 + 0.520684i
\(875\) −3.06270 + 10.4668i −0.103538 + 0.353841i
\(876\) −3.87536 4.47241i −0.130936 0.151109i
\(877\) 0.194649 4.08619i 0.00657284 0.137981i −0.993196 0.116459i \(-0.962846\pi\)
0.999768 0.0215222i \(-0.00685126\pi\)
\(878\) −6.95849 + 8.84844i −0.234838 + 0.298620i
\(879\) 62.5574 44.5469i 2.11001 1.50253i
\(880\) −3.33473 4.24045i −0.112414 0.142945i
\(881\) −21.4959 6.31176i −0.724215 0.212649i −0.101208 0.994865i \(-0.532271\pi\)
−0.623007 + 0.782217i \(0.714089\pi\)
\(882\) 16.0820 27.9755i 0.541510 0.941982i
\(883\) −2.97776 6.52039i −0.100210 0.219429i 0.852886 0.522097i \(-0.174850\pi\)
−0.953096 + 0.302668i \(0.902123\pi\)
\(884\) 0.618230 0.648381i 0.0207933 0.0218074i
\(885\) −2.45640 7.09731i −0.0825711 0.238573i
\(886\) −9.43740 27.2676i −0.317056 0.916072i
\(887\) −13.8568 + 14.5326i −0.465266 + 0.487957i −0.914003 0.405707i \(-0.867025\pi\)
0.448737 + 0.893664i \(0.351874\pi\)
\(888\) 4.65162 + 10.1856i 0.156098 + 0.341807i
\(889\) −11.3270 38.4434i −0.379896 1.28935i
\(890\) 3.03939 + 0.892446i 0.101881 + 0.0299149i
\(891\) −1.79641 2.28433i −0.0601821 0.0765278i
\(892\) 6.20583 4.41915i 0.207787 0.147964i
\(893\) 1.93592 2.46172i 0.0647831 0.0823784i
\(894\) −2.59915 + 54.5629i −0.0869287 + 1.82486i
\(895\) −14.4331 16.6567i −0.482447 0.556773i
\(896\) −2.57059 + 0.626161i −0.0858773 + 0.0209186i
\(897\) 0.905999 1.55623i 0.0302504 0.0519609i
\(898\) −10.6263 18.4052i −0.354603 0.614190i
\(899\) 6.96985 + 36.1630i 0.232458 + 1.20610i
\(900\) 14.7256 7.59156i 0.490852 0.253052i
\(901\) 34.1004 + 85.1786i 1.13605 + 2.83771i
\(902\) 1.89064 4.13991i 0.0629513 0.137844i
\(903\) −31.8273 + 40.5496i −1.05914 + 1.34940i
\(904\) −1.22565 + 4.17417i −0.0407644 + 0.138831i
\(905\) 41.2499 + 21.2658i 1.37119 + 0.706898i
\(906\) 5.31607 55.6724i 0.176615 1.84959i
\(907\) −4.19265 1.01713i −0.139215 0.0337731i 0.165546 0.986202i \(-0.447061\pi\)
−0.304761 + 0.952429i \(0.598577\pi\)
\(908\) 18.8828 + 3.63936i 0.626647 + 0.120776i
\(909\) 17.4719 + 15.1395i 0.579507 + 0.502146i
\(910\) −0.527003 + 0.914768i −0.0174700 + 0.0303243i
\(911\) 10.2429 4.67780i 0.339364 0.154982i −0.238442 0.971157i \(-0.576637\pi\)
0.577805 + 0.816175i \(0.303909\pi\)
\(912\) 4.28806 8.31767i 0.141992 0.275426i
\(913\) −16.3957 17.1953i −0.542618 0.569082i
\(914\) 0.0718008 0.179350i 0.00237496 0.00593236i
\(915\) −9.99117 104.632i −0.330298 3.45904i
\(916\) −3.16393 + 22.0056i −0.104539 + 0.727087i
\(917\) −7.23415 + 20.9650i −0.238893 + 0.692327i
\(918\) 22.0894 19.1405i 0.729057 0.631732i
\(919\) −27.8121 + 16.0573i −0.917437 + 0.529683i −0.882817 0.469718i \(-0.844356\pi\)
−0.0346208 + 0.999401i \(0.511022\pi\)
\(920\) −8.19644 + 11.4227i −0.270229 + 0.376596i
\(921\) 9.78181 16.9426i 0.322322 0.558277i
\(922\) −3.99732 1.38348i −0.131645 0.0455626i
\(923\) 0.881983 1.37239i 0.0290308 0.0451728i
\(924\) 12.2222 + 5.56791i 0.402081 + 0.183171i
\(925\) −13.2700 6.06021i −0.436315 0.199258i
\(926\) 19.2112 15.1079i 0.631319 0.496475i
\(927\) −17.2382 + 16.4366i −0.566178 + 0.539850i
\(928\) 0.349681 + 7.34071i 0.0114789 + 0.240971i
\(929\) −24.4943 17.4423i −0.803632 0.572264i 0.102758 0.994706i \(-0.467233\pi\)
−0.906390 + 0.422443i \(0.861173\pi\)
\(930\) 38.8847 11.4176i 1.27508 0.374397i
\(931\) 17.2164 + 16.3545i 0.564246 + 0.535998i
\(932\) −4.40823 + 5.08737i −0.144396 + 0.166642i
\(933\) −20.2370 19.2960i −0.662531 0.631722i
\(934\) 7.69929 + 0.735193i 0.251929 + 0.0240563i
\(935\) 35.4665 1.68948i 1.15988 0.0552518i
\(936\) −0.609768 + 0.147928i −0.0199309 + 0.00483518i
\(937\) 7.02518 + 48.8612i 0.229503 + 1.59623i 0.700210 + 0.713937i \(0.253090\pi\)
−0.470707 + 0.882290i \(0.656001\pi\)
\(938\) 1.54293 1.78400i 0.0503786 0.0582498i
\(939\) 10.6726 + 1.53448i 0.348286 + 0.0500759i
\(940\) 2.70332 + 0.128775i 0.0881724 + 0.00420017i
\(941\) 54.4568 10.4957i 1.77524 0.342149i 0.806691 0.590973i \(-0.201256\pi\)
0.968549 + 0.248824i \(0.0800440\pi\)
\(942\) 5.88346 + 3.39682i 0.191694 + 0.110674i
\(943\) −11.7342 1.73041i −0.382119 0.0563501i
\(944\) 0.928708i 0.0302269i
\(945\) −19.9526 + 28.0750i −0.649059 + 0.913281i
\(946\) −10.9338 7.02672i −0.355488 0.228459i
\(947\) 39.5584 15.8368i 1.28547 0.514626i 0.374552 0.927206i \(-0.377796\pi\)
0.910921 + 0.412580i \(0.135372\pi\)
\(948\) −25.0199 35.1355i −0.812608 1.14115i
\(949\) −0.271081 0.108524i −0.00879965 0.00352285i
\(950\) 2.87430 + 11.8480i 0.0932546 + 0.384401i
\(951\) 10.2872 + 16.0072i 0.333585 + 0.519068i
\(952\) 6.45703 16.1727i 0.209274 0.524159i
\(953\) 5.36585 + 18.2744i 0.173817 + 0.591967i 0.999608 + 0.0279905i \(0.00891082\pi\)
−0.825791 + 0.563976i \(0.809271\pi\)
\(954\) 12.1613 63.0988i 0.393737 2.04290i
\(955\) 21.7546 7.52932i 0.703961 0.243643i
\(956\) 5.65936 23.3282i 0.183037 0.754488i
\(957\) 21.6397 30.3887i 0.699512 0.982328i
\(958\) −25.9671 + 16.6880i −0.838958 + 0.539166i
\(959\) 53.8403 27.8203i 1.73860 0.898365i
\(960\) 8.00459 1.15089i 0.258347 0.0371447i
\(961\) −5.85976 + 0.559539i −0.189024 + 0.0180496i
\(962\) 0.434299 + 0.341536i 0.0140024 + 0.0110116i
\(963\) −0.443849 0.860948i −0.0143028 0.0277437i
\(964\) 3.75896 10.8608i 0.121068 0.349802i
\(965\) −36.5200 −1.17562
\(966\) 5.07415 34.6328i 0.163258 1.11429i
\(967\) 26.9602 0.866980 0.433490 0.901158i \(-0.357282\pi\)
0.433490 + 0.901158i \(0.357282\pi\)
\(968\) 2.49019 7.19493i 0.0800378 0.231254i
\(969\) 28.2235 + 54.7459i 0.906669 + 1.75869i
\(970\) −39.1911 30.8202i −1.25835 0.989578i
\(971\) −26.0522 + 2.48768i −0.836054 + 0.0798334i −0.504296 0.863531i \(-0.668248\pi\)
−0.331758 + 0.943365i \(0.607642\pi\)
\(972\) 17.4987 2.51593i 0.561270 0.0806985i
\(973\) −4.51749 2.89725i −0.144824 0.0928817i
\(974\) 19.1260 12.2915i 0.612837 0.393846i
\(975\) 0.782759 1.09923i 0.0250684 0.0352036i
\(976\) 3.06424 12.6310i 0.0980839 0.404307i
\(977\) −54.6460 + 18.9132i −1.74828 + 0.605086i −0.998403 0.0564900i \(-0.982009\pi\)
−0.749878 + 0.661576i \(0.769888\pi\)
\(978\) −5.41562 + 28.0989i −0.173173 + 0.898504i
\(979\) −0.560209 1.90790i −0.0179043 0.0609766i
\(980\) −2.88246 + 20.3173i −0.0920767 + 0.649013i
\(981\) −6.47875 10.0811i −0.206850 0.321866i
\(982\) −2.32841 9.59784i −0.0743026 0.306279i
\(983\) −48.7880 19.5318i −1.55609 0.622966i −0.575288 0.817951i \(-0.695110\pi\)
−0.980806 + 0.194985i \(0.937534\pi\)
\(984\) 3.95748 + 5.55750i 0.126160 + 0.177167i
\(985\) 51.6464 20.6761i 1.64559 0.658796i
\(986\) −40.6919 26.1511i −1.29589 0.832820i
\(987\) −6.12644 + 2.80477i −0.195007 + 0.0892769i
\(988\) 0.461738i 0.0146898i
\(989\) −9.66026 + 32.4655i −0.307179 + 1.03234i
\(990\) −21.5363 12.4340i −0.684469 0.395178i
\(991\) −28.0517 + 5.40651i −0.891090 + 0.171744i −0.614193 0.789156i \(-0.710518\pi\)
−0.276897 + 0.960900i \(0.589306\pi\)
\(992\) 5.00567 + 0.238449i 0.158930 + 0.00757078i
\(993\) −54.2417 7.79878i −1.72131 0.247487i
\(994\) 5.97210 31.1428i 0.189424 0.987788i
\(995\) 2.86567 + 19.9311i 0.0908477 + 0.631860i
\(996\) 34.6127 8.39695i 1.09675 0.266067i
\(997\) −40.2817 + 1.91885i −1.27573 + 0.0607707i −0.674484 0.738290i \(-0.735634\pi\)
−0.601251 + 0.799060i \(0.705331\pi\)
\(998\) −23.2930 2.22421i −0.737326 0.0704061i
\(999\) 13.0458 + 12.4391i 0.412749 + 0.393556i
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 322.2.o.a.171.7 yes 160
7.5 odd 6 inner 322.2.o.a.33.7 160
23.7 odd 22 inner 322.2.o.a.283.7 yes 160
161.145 even 66 inner 322.2.o.a.145.7 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.a.33.7 160 7.5 odd 6 inner
322.2.o.a.145.7 yes 160 161.145 even 66 inner
322.2.o.a.171.7 yes 160 1.1 even 1 trivial
322.2.o.a.283.7 yes 160 23.7 odd 22 inner