Properties

Label 460.2.o.b.159.11
Level $460$
Weight $2$
Character 460.159
Analytic conductor $3.673$
Analytic rank $0$
Dimension $640$
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] = [460,2,Mod(19,460)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(460, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("460.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 460 = 2^{2} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 460.o (of order \(22\), degree \(10\), 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: \(3.67311849298\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(64\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 159.11
Character \(\chi\) \(=\) 460.159
Dual form 460.2.o.b.379.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25704 + 0.647957i) q^{2} +(-0.162604 - 1.13093i) q^{3} +(1.16030 - 1.62902i) q^{4} +(-2.23501 - 0.0687254i) q^{5} +(0.937195 + 1.31627i) q^{6} +(2.30652 + 1.99861i) q^{7} +(-0.403018 + 2.79957i) q^{8} +(1.62591 - 0.477410i) q^{9} +O(q^{10})\) \(q+(-1.25704 + 0.647957i) q^{2} +(-0.162604 - 1.13093i) q^{3} +(1.16030 - 1.62902i) q^{4} +(-2.23501 - 0.0687254i) q^{5} +(0.937195 + 1.31627i) q^{6} +(2.30652 + 1.99861i) q^{7} +(-0.403018 + 2.79957i) q^{8} +(1.62591 - 0.477410i) q^{9} +(2.85403 - 1.36180i) q^{10} +(-0.301561 + 0.193801i) q^{11} +(-2.03098 - 1.04734i) q^{12} +(-3.22877 + 2.79774i) q^{13} +(-4.19440 - 1.01781i) q^{14} +(0.285697 + 2.53882i) q^{15} +(-1.30739 - 3.78031i) q^{16} +(2.42943 - 5.31971i) q^{17} +(-1.73449 + 1.65364i) q^{18} +(1.96423 + 4.30107i) q^{19} +(-2.70525 + 3.56113i) q^{20} +(1.88525 - 2.93350i) q^{21} +(0.253499 - 0.439014i) q^{22} +(4.37791 + 1.95804i) q^{23} +(3.23166 + 0.000566722i) q^{24} +(4.99055 + 0.307204i) q^{25} +(2.24588 - 5.60898i) q^{26} +(-2.22821 - 4.87910i) q^{27} +(5.93203 - 1.43836i) q^{28} +(0.663351 - 1.45254i) q^{29} +(-2.00418 - 3.00629i) q^{30} +(6.89906 + 0.991935i) q^{31} +(4.09292 + 3.90487i) q^{32} +(0.268211 + 0.309532i) q^{33} +(0.393048 + 8.26126i) q^{34} +(-5.01774 - 4.62543i) q^{35} +(1.10884 - 3.20257i) q^{36} +(9.88800 - 2.90338i) q^{37} +(-5.25603 - 4.13388i) q^{38} +(3.68907 + 3.19660i) q^{39} +(1.09315 - 6.22937i) q^{40} +(-9.50538 - 2.79103i) q^{41} +(-0.469051 + 4.90909i) q^{42} +(6.20848 - 0.892645i) q^{43} +(-0.0341967 + 0.716116i) q^{44} +(-3.66673 + 0.955275i) q^{45} +(-6.77194 + 0.375361i) q^{46} +8.90189 q^{47} +(-4.06269 + 2.09326i) q^{48} +(0.329384 + 2.29092i) q^{49} +(-6.47239 + 2.84749i) q^{50} +(-6.41127 - 1.88252i) q^{51} +(0.811216 + 8.50594i) q^{52} +(-5.80406 + 6.69825i) q^{53} +(5.96240 + 4.68945i) q^{54} +(0.687311 - 0.412423i) q^{55} +(-6.52481 + 5.65178i) q^{56} +(4.54483 - 2.92078i) q^{57} +(0.107321 + 2.25572i) q^{58} +(3.20551 - 2.77759i) q^{59} +(4.46728 + 2.48040i) q^{60} +(3.27509 + 0.470887i) q^{61} +(-9.31513 + 3.22339i) q^{62} +(4.70435 + 2.14840i) q^{63} +(-7.67515 - 2.25655i) q^{64} +(7.40860 - 6.03109i) q^{65} +(-0.537716 - 0.215305i) q^{66} +(-4.97326 + 7.73854i) q^{67} +(-5.84702 - 10.1301i) q^{68} +(1.50255 - 5.26951i) q^{69} +(9.30459 + 2.56308i) q^{70} +(-3.87939 + 6.03645i) q^{71} +(0.681270 + 4.74424i) q^{72} +(6.20829 - 2.83523i) q^{73} +(-10.5484 + 10.0567i) q^{74} +(-0.464055 - 5.69394i) q^{75} +(9.28562 + 1.79078i) q^{76} +(-1.08289 - 0.155696i) q^{77} +(-6.70857 - 1.62790i) q^{78} +(1.26225 + 1.45671i) q^{79} +(2.66222 + 8.53889i) q^{80} +(-0.878986 + 0.564890i) q^{81} +(13.7571 - 2.65063i) q^{82} +(0.681170 + 2.31985i) q^{83} +(-2.59126 - 6.47485i) q^{84} +(-5.79540 + 11.7227i) q^{85} +(-7.22592 + 5.14492i) q^{86} +(-1.75059 - 0.514018i) q^{87} +(-0.421025 - 0.922345i) q^{88} +(0.999667 - 0.143730i) q^{89} +(3.99026 - 3.57671i) q^{90} -13.0388 q^{91} +(8.26938 - 4.85976i) q^{92} -7.96367i q^{93} +(-11.1900 + 5.76804i) q^{94} +(-4.09449 - 9.74793i) q^{95} +(3.75063 - 5.26376i) q^{96} +(-8.52946 - 2.50448i) q^{97} +(-1.89846 - 2.66635i) q^{98} +(-0.397787 + 0.459071i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 6 q^{4} - 22 q^{5} + 2 q^{6} - 100 q^{9} - 11 q^{10} - 22 q^{14} + 2 q^{16} - 11 q^{20} - 44 q^{21} - 8 q^{24} - 38 q^{25} - 46 q^{26} - 52 q^{29} - 11 q^{30} - 44 q^{34} + 18 q^{36} - 11 q^{40} - 76 q^{41} - 154 q^{44} - 30 q^{46} - 100 q^{49} + 21 q^{50} + 178 q^{54} + 242 q^{56} - 11 q^{60} - 44 q^{61} + 6 q^{64} - 22 q^{65} + 44 q^{66} - 12 q^{69} + 22 q^{70} - 22 q^{74} + 88 q^{76} - 110 q^{80} - 252 q^{81} - 374 q^{84} + 94 q^{85} - 198 q^{86} - 44 q^{89} - 242 q^{90} - 62 q^{94} + 372 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).

\(n\) \(231\) \(277\) \(281\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25704 + 0.647957i −0.888862 + 0.458175i
\(3\) −0.162604 1.13093i −0.0938793 0.652945i −0.981371 0.192121i \(-0.938463\pi\)
0.887492 0.460823i \(-0.152446\pi\)
\(4\) 1.16030 1.62902i 0.580152 0.814508i
\(5\) −2.23501 0.0687254i −0.999528 0.0307349i
\(6\) 0.937195 + 1.31627i 0.382608 + 0.537365i
\(7\) 2.30652 + 1.99861i 0.871782 + 0.755404i 0.970853 0.239677i \(-0.0770414\pi\)
−0.0990704 + 0.995080i \(0.531587\pi\)
\(8\) −0.403018 + 2.79957i −0.142488 + 0.989796i
\(9\) 1.62591 0.477410i 0.541970 0.159137i
\(10\) 2.85403 1.36180i 0.902524 0.430639i
\(11\) −0.301561 + 0.193801i −0.0909240 + 0.0584333i −0.585313 0.810808i \(-0.699028\pi\)
0.494389 + 0.869241i \(0.335392\pi\)
\(12\) −2.03098 1.04734i −0.586293 0.302342i
\(13\) −3.22877 + 2.79774i −0.895498 + 0.775954i −0.975306 0.220856i \(-0.929115\pi\)
0.0798079 + 0.996810i \(0.474569\pi\)
\(14\) −4.19440 1.01781i −1.12100 0.272021i
\(15\) 0.285697 + 2.53882i 0.0737667 + 0.655522i
\(16\) −1.30739 3.78031i −0.326847 0.945077i
\(17\) 2.42943 5.31971i 0.589223 1.29022i −0.346687 0.937981i \(-0.612693\pi\)
0.935910 0.352238i \(-0.114579\pi\)
\(18\) −1.73449 + 1.65364i −0.408824 + 0.389767i
\(19\) 1.96423 + 4.30107i 0.450626 + 0.986733i 0.989525 + 0.144362i \(0.0461131\pi\)
−0.538899 + 0.842370i \(0.681160\pi\)
\(20\) −2.70525 + 3.56113i −0.604912 + 0.796292i
\(21\) 1.88525 2.93350i 0.411395 0.640142i
\(22\) 0.253499 0.439014i 0.0540462 0.0935982i
\(23\) 4.37791 + 1.95804i 0.912857 + 0.408279i
\(24\) 3.23166 0.000566722i 0.659659 0.000115682i
\(25\) 4.99055 + 0.307204i 0.998111 + 0.0614408i
\(26\) 2.24588 5.60898i 0.440452 1.10001i
\(27\) −2.22821 4.87910i −0.428819 0.938983i
\(28\) 5.93203 1.43836i 1.12105 0.271825i
\(29\) 0.663351 1.45254i 0.123181 0.269729i −0.837988 0.545688i \(-0.816268\pi\)
0.961169 + 0.275959i \(0.0889955\pi\)
\(30\) −2.00418 3.00629i −0.365912 0.548870i
\(31\) 6.89906 + 0.991935i 1.23911 + 0.178157i 0.730543 0.682867i \(-0.239267\pi\)
0.508565 + 0.861024i \(0.330176\pi\)
\(32\) 4.09292 + 3.90487i 0.723532 + 0.690291i
\(33\) 0.268211 + 0.309532i 0.0466896 + 0.0538826i
\(34\) 0.393048 + 8.26126i 0.0674072 + 1.41679i
\(35\) −5.01774 4.62543i −0.848153 0.781841i
\(36\) 1.10884 3.20257i 0.184807 0.533762i
\(37\) 9.88800 2.90338i 1.62558 0.477313i 0.663068 0.748559i \(-0.269254\pi\)
0.962510 + 0.271247i \(0.0874359\pi\)
\(38\) −5.25603 4.13388i −0.852640 0.670604i
\(39\) 3.68907 + 3.19660i 0.590724 + 0.511865i
\(40\) 1.09315 6.22937i 0.172842 0.984949i
\(41\) −9.50538 2.79103i −1.48449 0.435886i −0.563712 0.825971i \(-0.690627\pi\)
−0.920779 + 0.390085i \(0.872446\pi\)
\(42\) −0.469051 + 4.90909i −0.0723761 + 0.757489i
\(43\) 6.20848 0.892645i 0.946785 0.136127i 0.348409 0.937343i \(-0.386722\pi\)
0.598376 + 0.801216i \(0.295813\pi\)
\(44\) −0.0341967 + 0.716116i −0.00515535 + 0.107959i
\(45\) −3.66673 + 0.955275i −0.546605 + 0.142404i
\(46\) −6.77194 + 0.375361i −0.998467 + 0.0553440i
\(47\) 8.90189 1.29847 0.649237 0.760586i \(-0.275088\pi\)
0.649237 + 0.760586i \(0.275088\pi\)
\(48\) −4.06269 + 2.09326i −0.586399 + 0.302136i
\(49\) 0.329384 + 2.29092i 0.0470549 + 0.327274i
\(50\) −6.47239 + 2.84749i −0.915334 + 0.402697i
\(51\) −6.41127 1.88252i −0.897758 0.263605i
\(52\) 0.811216 + 8.50594i 0.112495 + 1.17956i
\(53\) −5.80406 + 6.69825i −0.797250 + 0.920075i −0.998227 0.0595208i \(-0.981043\pi\)
0.200977 + 0.979596i \(0.435588\pi\)
\(54\) 5.96240 + 4.68945i 0.811380 + 0.638153i
\(55\) 0.687311 0.412423i 0.0926770 0.0556111i
\(56\) −6.52481 + 5.65178i −0.871915 + 0.755251i
\(57\) 4.54483 2.92078i 0.601977 0.386867i
\(58\) 0.107321 + 2.25572i 0.0140919 + 0.296191i
\(59\) 3.20551 2.77759i 0.417321 0.361611i −0.420745 0.907179i \(-0.638231\pi\)
0.838067 + 0.545568i \(0.183686\pi\)
\(60\) 4.46728 + 2.48040i 0.576724 + 0.320219i
\(61\) 3.27509 + 0.470887i 0.419333 + 0.0602910i 0.348752 0.937215i \(-0.386606\pi\)
0.0705809 + 0.997506i \(0.477515\pi\)
\(62\) −9.31513 + 3.22339i −1.18302 + 0.409371i
\(63\) 4.70435 + 2.14840i 0.592692 + 0.270673i
\(64\) −7.67515 2.25655i −0.959394 0.282069i
\(65\) 7.40860 6.03109i 0.918924 0.748064i
\(66\) −0.537716 0.215305i −0.0661883 0.0265023i
\(67\) −4.97326 + 7.73854i −0.607580 + 0.945413i 0.392095 + 0.919925i \(0.371751\pi\)
−0.999675 + 0.0254886i \(0.991886\pi\)
\(68\) −5.84702 10.1301i −0.709055 1.22845i
\(69\) 1.50255 5.26951i 0.180885 0.634374i
\(70\) 9.30459 + 2.56308i 1.11211 + 0.306347i
\(71\) −3.87939 + 6.03645i −0.460399 + 0.716395i −0.991384 0.130986i \(-0.958186\pi\)
0.530985 + 0.847381i \(0.321822\pi\)
\(72\) 0.681270 + 4.74424i 0.0802885 + 0.559115i
\(73\) 6.20829 2.83523i 0.726625 0.331838i −0.0175294 0.999846i \(-0.505580\pi\)
0.744154 + 0.668008i \(0.232853\pi\)
\(74\) −10.5484 + 10.0567i −1.22622 + 1.16906i
\(75\) −0.464055 5.69394i −0.0535845 0.657479i
\(76\) 9.28562 + 1.79078i 1.06513 + 0.205417i
\(77\) −1.08289 0.155696i −0.123407 0.0177432i
\(78\) −6.70857 1.62790i −0.759595 0.184323i
\(79\) 1.26225 + 1.45671i 0.142014 + 0.163893i 0.822301 0.569053i \(-0.192690\pi\)
−0.680287 + 0.732946i \(0.738145\pi\)
\(80\) 2.66222 + 8.53889i 0.297646 + 0.954676i
\(81\) −0.878986 + 0.564890i −0.0976651 + 0.0627655i
\(82\) 13.7571 2.65063i 1.51922 0.292714i
\(83\) 0.681170 + 2.31985i 0.0747681 + 0.254637i 0.988392 0.151923i \(-0.0485465\pi\)
−0.913624 + 0.406560i \(0.866728\pi\)
\(84\) −2.59126 6.47485i −0.282730 0.706464i
\(85\) −5.79540 + 11.7227i −0.628600 + 1.27150i
\(86\) −7.22592 + 5.14492i −0.779191 + 0.554791i
\(87\) −1.75059 0.514018i −0.187682 0.0551085i
\(88\) −0.421025 0.922345i −0.0448814 0.0983223i
\(89\) 0.999667 0.143730i 0.105964 0.0152354i −0.0891286 0.996020i \(-0.528408\pi\)
0.195093 + 0.980785i \(0.437499\pi\)
\(90\) 3.99026 3.57671i 0.420610 0.377018i
\(91\) −13.0388 −1.36684
\(92\) 8.26938 4.85976i 0.862143 0.506666i
\(93\) 7.96367i 0.825794i
\(94\) −11.1900 + 5.76804i −1.15417 + 0.594928i
\(95\) −4.09449 9.74793i −0.420086 1.00012i
\(96\) 3.75063 5.26376i 0.382797 0.537231i
\(97\) −8.52946 2.50448i −0.866036 0.254291i −0.181607 0.983371i \(-0.558130\pi\)
−0.684428 + 0.729080i \(0.739948\pi\)
\(98\) −1.89846 2.66635i −0.191774 0.269342i
\(99\) −0.397787 + 0.459071i −0.0399791 + 0.0461384i
\(100\) 6.29100 7.77324i 0.629100 0.777324i
\(101\) −10.3734 + 3.04591i −1.03219 + 0.303079i −0.753602 0.657331i \(-0.771685\pi\)
−0.278590 + 0.960410i \(0.589867\pi\)
\(102\) 9.27902 1.78782i 0.918760 0.177021i
\(103\) −8.97214 13.9609i −0.884051 1.37561i −0.926414 0.376508i \(-0.877125\pi\)
0.0423627 0.999102i \(-0.486512\pi\)
\(104\) −6.53121 10.1667i −0.640438 0.996926i
\(105\) −4.41515 + 6.42684i −0.430875 + 0.627196i
\(106\) 2.95577 12.1808i 0.287090 1.18310i
\(107\) 12.7679 + 1.83574i 1.23432 + 0.177468i 0.728422 0.685128i \(-0.240254\pi\)
0.505893 + 0.862596i \(0.331163\pi\)
\(108\) −10.5335 2.03145i −1.01359 0.195476i
\(109\) −5.40956 2.47047i −0.518142 0.236628i 0.139139 0.990273i \(-0.455566\pi\)
−0.657281 + 0.753645i \(0.728294\pi\)
\(110\) −0.596745 + 0.963780i −0.0568974 + 0.0918929i
\(111\) −4.89135 10.7106i −0.464267 1.01660i
\(112\) 4.53985 11.3323i 0.428975 1.07080i
\(113\) −8.06768 5.18478i −0.758944 0.487743i 0.103041 0.994677i \(-0.467143\pi\)
−0.861985 + 0.506934i \(0.830779\pi\)
\(114\) −3.82050 + 6.61640i −0.357822 + 0.619683i
\(115\) −9.65011 4.67711i −0.899877 0.436143i
\(116\) −1.59652 2.76599i −0.148233 0.256816i
\(117\) −3.91401 + 6.09032i −0.361850 + 0.563050i
\(118\) −2.22970 + 5.56857i −0.205260 + 0.512628i
\(119\) 16.2356 7.41453i 1.48831 0.679689i
\(120\) −7.22275 0.223363i −0.659344 0.0203902i
\(121\) −4.51619 + 9.88907i −0.410562 + 0.899006i
\(122\) −4.42204 + 1.53019i −0.400353 + 0.138537i
\(123\) −1.61086 + 11.2038i −0.145246 + 1.01021i
\(124\) 9.62088 10.0877i 0.863981 0.905905i
\(125\) −11.1328 1.02958i −0.995751 0.0920886i
\(126\) −7.30563 + 0.347582i −0.650837 + 0.0309651i
\(127\) −13.2267 + 8.50031i −1.17368 + 0.754281i −0.974215 0.225623i \(-0.927558\pi\)
−0.199469 + 0.979904i \(0.563922\pi\)
\(128\) 11.1101 2.13659i 0.982006 0.188849i
\(129\) −2.01904 6.87623i −0.177767 0.605418i
\(130\) −5.40504 + 12.3818i −0.474053 + 1.08595i
\(131\) 0.380366 + 0.329589i 0.0332328 + 0.0287964i 0.671319 0.741169i \(-0.265728\pi\)
−0.638086 + 0.769965i \(0.720274\pi\)
\(132\) 0.815440 0.0777688i 0.0709749 0.00676891i
\(133\) −4.06562 + 13.8462i −0.352534 + 1.20062i
\(134\) 1.23735 12.9501i 0.106891 1.11872i
\(135\) 4.64476 + 11.0580i 0.399757 + 0.951720i
\(136\) 13.9138 + 8.94529i 1.19310 + 0.767053i
\(137\) 14.0652 1.20167 0.600836 0.799372i \(-0.294834\pi\)
0.600836 + 0.799372i \(0.294834\pi\)
\(138\) 1.52565 + 7.59757i 0.129872 + 0.646748i
\(139\) 6.14490i 0.521203i 0.965446 + 0.260602i \(0.0839209\pi\)
−0.965446 + 0.260602i \(0.916079\pi\)
\(140\) −13.3570 + 2.80707i −1.12887 + 0.237241i
\(141\) −1.44748 10.0674i −0.121900 0.847832i
\(142\) 0.965195 10.1017i 0.0809974 0.847719i
\(143\) 0.431463 1.46943i 0.0360807 0.122880i
\(144\) −3.93045 5.52228i −0.327537 0.460190i
\(145\) −1.58242 + 3.20085i −0.131413 + 0.265816i
\(146\) −5.96696 + 7.58670i −0.493829 + 0.627880i
\(147\) 2.53732 0.745023i 0.209274 0.0614485i
\(148\) 6.74344 19.4765i 0.554307 1.60096i
\(149\) 7.81419 + 12.1591i 0.640163 + 0.996114i 0.998054 + 0.0623503i \(0.0198596\pi\)
−0.357891 + 0.933763i \(0.616504\pi\)
\(150\) 4.27276 + 6.85682i 0.348869 + 0.559857i
\(151\) 11.1184 9.63412i 0.904800 0.784014i −0.0721697 0.997392i \(-0.522992\pi\)
0.976970 + 0.213379i \(0.0684469\pi\)
\(152\) −12.8327 + 3.76559i −1.04087 + 0.305430i
\(153\) 1.41035 9.80920i 0.114020 0.793027i
\(154\) 1.46212 0.505949i 0.117821 0.0407705i
\(155\) −15.3513 2.69113i −1.23305 0.216156i
\(156\) 9.48775 2.30053i 0.759628 0.184190i
\(157\) 2.02394 + 4.43181i 0.161528 + 0.353697i 0.973039 0.230640i \(-0.0740820\pi\)
−0.811511 + 0.584337i \(0.801355\pi\)
\(158\) −2.53058 1.01326i −0.201322 0.0806109i
\(159\) 8.51903 + 5.47485i 0.675603 + 0.434184i
\(160\) −8.87935 9.00872i −0.701974 0.712202i
\(161\) 6.18438 + 13.2660i 0.487397 + 1.04551i
\(162\) 0.738897 1.27963i 0.0580532 0.100538i
\(163\) −17.7494 11.4069i −1.39024 0.893455i −0.390611 0.920556i \(-0.627736\pi\)
−0.999633 + 0.0271008i \(0.991372\pi\)
\(164\) −15.5758 + 12.2460i −1.21626 + 0.956250i
\(165\) −0.578182 0.710241i −0.0450114 0.0552922i
\(166\) −2.35942 2.47478i −0.183127 0.192080i
\(167\) −4.97094 + 10.8848i −0.384663 + 0.842294i 0.613935 + 0.789356i \(0.289586\pi\)
−0.998598 + 0.0529372i \(0.983142\pi\)
\(168\) 7.45274 + 6.46013i 0.574992 + 0.498410i
\(169\) 0.747478 5.19882i 0.0574983 0.399909i
\(170\) −0.310709 18.4910i −0.0238303 1.41820i
\(171\) 5.24703 + 6.05540i 0.401251 + 0.463068i
\(172\) 5.74959 11.1495i 0.438403 0.850138i
\(173\) 1.07836 + 1.67797i 0.0819865 + 0.127574i 0.879825 0.475298i \(-0.157660\pi\)
−0.797839 + 0.602871i \(0.794023\pi\)
\(174\) 2.53362 0.488161i 0.192073 0.0370074i
\(175\) 10.8968 + 10.6827i 0.823723 + 0.807540i
\(176\) 1.12689 + 0.886619i 0.0849422 + 0.0668314i
\(177\) −3.66249 3.17357i −0.275290 0.238540i
\(178\) −1.16349 + 0.828416i −0.0872074 + 0.0620924i
\(179\) 2.14269 7.29734i 0.160152 0.545429i −0.839844 0.542827i \(-0.817354\pi\)
0.999997 0.00260139i \(-0.000828049\pi\)
\(180\) −2.69837 + 7.08158i −0.201125 + 0.527830i
\(181\) 15.0385 2.16221i 1.11781 0.160716i 0.441446 0.897288i \(-0.354466\pi\)
0.676359 + 0.736572i \(0.263557\pi\)
\(182\) 16.3903 8.44858i 1.21493 0.626250i
\(183\) 3.78048i 0.279461i
\(184\) −7.24604 + 11.4671i −0.534185 + 0.845368i
\(185\) −22.2993 + 5.80953i −1.63948 + 0.427125i
\(186\) 5.16011 + 10.0107i 0.378358 + 0.734017i
\(187\) 0.298346 + 2.07504i 0.0218172 + 0.151742i
\(188\) 10.3289 14.5013i 0.753313 1.05762i
\(189\) 4.61201 15.7071i 0.335474 1.14252i
\(190\) 11.4632 + 9.60049i 0.831626 + 0.696493i
\(191\) 2.20630 2.54621i 0.159642 0.184237i −0.670293 0.742096i \(-0.733832\pi\)
0.829936 + 0.557859i \(0.188377\pi\)
\(192\) −1.30400 + 9.04701i −0.0941083 + 0.652912i
\(193\) 3.91316 + 13.3270i 0.281675 + 0.959298i 0.971839 + 0.235645i \(0.0757203\pi\)
−0.690164 + 0.723653i \(0.742461\pi\)
\(194\) 12.3447 2.37849i 0.886296 0.170766i
\(195\) −8.02542 7.39796i −0.574712 0.529779i
\(196\) 4.11413 + 2.12159i 0.293866 + 0.151542i
\(197\) 3.70745 3.21252i 0.264145 0.228883i −0.512711 0.858561i \(-0.671359\pi\)
0.776856 + 0.629678i \(0.216813\pi\)
\(198\) 0.202577 0.834820i 0.0143965 0.0593281i
\(199\) 2.29897 15.9897i 0.162969 1.13348i −0.730028 0.683417i \(-0.760493\pi\)
0.892998 0.450061i \(-0.148598\pi\)
\(200\) −2.87132 + 13.8476i −0.203033 + 0.979172i
\(201\) 9.56045 + 4.36611i 0.674342 + 0.307962i
\(202\) 11.0662 10.5503i 0.778614 0.742320i
\(203\) 4.43309 2.02452i 0.311142 0.142094i
\(204\) −10.5057 + 8.25977i −0.735545 + 0.578300i
\(205\) 21.0528 + 6.89125i 1.47039 + 0.481306i
\(206\) 20.3244 + 11.7359i 1.41607 + 0.817678i
\(207\) 8.05287 + 1.09353i 0.559713 + 0.0760059i
\(208\) 14.7976 + 8.54800i 1.02603 + 0.592697i
\(209\) −1.42589 0.916362i −0.0986307 0.0633861i
\(210\) 1.38571 10.9396i 0.0956233 0.754907i
\(211\) −6.15438 + 2.81061i −0.423685 + 0.193491i −0.615835 0.787875i \(-0.711181\pi\)
0.192150 + 0.981366i \(0.438454\pi\)
\(212\) 4.17707 + 17.2269i 0.286883 + 1.18315i
\(213\) 7.45762 + 3.40578i 0.510988 + 0.233360i
\(214\) −17.2392 + 5.96542i −1.17845 + 0.407788i
\(215\) −13.9374 + 1.56839i −0.950521 + 0.106963i
\(216\) 14.5574 4.27166i 0.990504 0.290650i
\(217\) 13.9303 + 16.0764i 0.945652 + 1.09134i
\(218\) 8.40080 0.399687i 0.568974 0.0270702i
\(219\) −4.21594 6.56014i −0.284887 0.443293i
\(220\) 0.125645 1.59818i 0.00847101 0.107749i
\(221\) 7.03911 + 23.9730i 0.473502 + 1.61260i
\(222\) 13.0886 + 10.2942i 0.878451 + 0.690904i
\(223\) −17.7747 + 20.5131i −1.19028 + 1.37366i −0.279827 + 0.960050i \(0.590277\pi\)
−0.910455 + 0.413608i \(0.864268\pi\)
\(224\) 1.63607 + 17.1868i 0.109315 + 1.14834i
\(225\) 8.26085 1.88305i 0.550723 0.125537i
\(226\) 13.5009 + 1.28998i 0.898068 + 0.0858081i
\(227\) 1.00520 0.144526i 0.0667175 0.00959252i −0.108875 0.994055i \(-0.534725\pi\)
0.175593 + 0.984463i \(0.443816\pi\)
\(228\) 0.515380 10.7926i 0.0341318 0.714757i
\(229\) 21.5838i 1.42630i −0.701011 0.713150i \(-0.747268\pi\)
0.701011 0.713150i \(-0.252732\pi\)
\(230\) 15.1612 0.373533i 0.999697 0.0246300i
\(231\) 1.24999i 0.0822434i
\(232\) 3.79913 + 2.44249i 0.249425 + 0.160358i
\(233\) −9.95533 + 1.43136i −0.652195 + 0.0937715i −0.460467 0.887677i \(-0.652318\pi\)
−0.191728 + 0.981448i \(0.561409\pi\)
\(234\) 0.973808 10.1919i 0.0636598 0.666264i
\(235\) −19.8958 0.611786i −1.29786 0.0399085i
\(236\) −0.805372 8.44467i −0.0524252 0.549701i
\(237\) 1.44220 1.66438i 0.0936807 0.108113i
\(238\) −15.6045 + 19.8403i −1.01149 + 1.28606i
\(239\) 5.50836 + 18.7598i 0.356306 + 1.21347i 0.921457 + 0.388480i \(0.127000\pi\)
−0.565151 + 0.824988i \(0.691182\pi\)
\(240\) 9.22402 4.39925i 0.595408 0.283971i
\(241\) −11.2519 17.5084i −0.724802 1.12781i −0.986674 0.162711i \(-0.947976\pi\)
0.261872 0.965103i \(-0.415660\pi\)
\(242\) −0.730656 15.3573i −0.0469684 0.987202i
\(243\) −9.75588 11.2589i −0.625840 0.722258i
\(244\) 4.56719 4.78881i 0.292384 0.306572i
\(245\) −0.578733 5.14286i −0.0369739 0.328565i
\(246\) −5.23465 15.1274i −0.333749 0.964487i
\(247\) −18.3753 8.39173i −1.16919 0.533953i
\(248\) −5.55743 + 18.9146i −0.352897 + 1.20108i
\(249\) 2.51284 1.14757i 0.159245 0.0727246i
\(250\) 14.6616 5.91937i 0.927278 0.374374i
\(251\) −4.14610 2.66454i −0.261699 0.168184i 0.403211 0.915107i \(-0.367894\pi\)
−0.664911 + 0.746923i \(0.731530\pi\)
\(252\) 8.95826 5.17065i 0.564317 0.325721i
\(253\) −1.69968 + 0.257977i −0.106858 + 0.0162189i
\(254\) 11.1187 19.2556i 0.697651 1.20820i
\(255\) 14.1999 + 4.64807i 0.889232 + 0.291073i
\(256\) −12.5815 + 9.88466i −0.786342 + 0.617791i
\(257\) −24.0500 + 10.9832i −1.50019 + 0.685116i −0.985095 0.172014i \(-0.944973\pi\)
−0.515100 + 0.857130i \(0.672245\pi\)
\(258\) 6.99352 + 7.33545i 0.435398 + 0.456685i
\(259\) 28.6096 + 13.0656i 1.77771 + 0.811855i
\(260\) −1.22850 19.0666i −0.0761885 1.18246i
\(261\) 0.385093 2.67838i 0.0238367 0.165788i
\(262\) −0.691696 0.167846i −0.0427331 0.0103696i
\(263\) −2.80107 + 2.42714i −0.172722 + 0.149664i −0.736932 0.675967i \(-0.763726\pi\)
0.564210 + 0.825631i \(0.309181\pi\)
\(264\) −0.974650 + 0.626128i −0.0599856 + 0.0385355i
\(265\) 13.4325 14.5718i 0.825151 0.895137i
\(266\) −3.86111 20.0396i −0.236740 1.22871i
\(267\) −0.325099 1.10719i −0.0198957 0.0677587i
\(268\) 6.83572 + 17.0806i 0.417558 + 1.04336i
\(269\) 1.80382 2.08171i 0.109981 0.126924i −0.698090 0.716010i \(-0.745966\pi\)
0.808071 + 0.589086i \(0.200512\pi\)
\(270\) −13.0037 10.8907i −0.791383 0.662789i
\(271\) −6.90623 + 23.5205i −0.419524 + 1.42877i 0.430772 + 0.902461i \(0.358241\pi\)
−0.850295 + 0.526306i \(0.823577\pi\)
\(272\) −23.2864 2.22907i −1.41194 0.135157i
\(273\) 2.12016 + 14.7460i 0.128318 + 0.892470i
\(274\) −17.6806 + 9.11365i −1.06812 + 0.550576i
\(275\) −1.56449 + 0.874535i −0.0943424 + 0.0527364i
\(276\) −6.84070 8.56191i −0.411762 0.515366i
\(277\) 8.44466i 0.507390i 0.967284 + 0.253695i \(0.0816460\pi\)
−0.967284 + 0.253695i \(0.918354\pi\)
\(278\) −3.98163 7.72439i −0.238802 0.463278i
\(279\) 11.6908 1.68088i 0.699910 0.100632i
\(280\) 14.9715 12.1834i 0.894715 0.728096i
\(281\) 0.702341 2.39195i 0.0418981 0.142692i −0.935888 0.352299i \(-0.885400\pi\)
0.977786 + 0.209607i \(0.0672183\pi\)
\(282\) 8.34281 + 11.7173i 0.496807 + 0.697755i
\(283\) 0.295803 + 0.256315i 0.0175837 + 0.0152363i 0.663608 0.748080i \(-0.269024\pi\)
−0.646025 + 0.763317i \(0.723570\pi\)
\(284\) 5.33220 + 13.3237i 0.316408 + 0.790616i
\(285\) −10.3585 + 6.21564i −0.613583 + 0.368183i
\(286\) 0.409759 + 2.12670i 0.0242296 + 0.125754i
\(287\) −16.3462 25.4351i −0.964883 1.50139i
\(288\) 8.51893 + 4.39497i 0.501983 + 0.258976i
\(289\) −11.2646 13.0000i −0.662621 0.764705i
\(290\) −0.0848386 5.04894i −0.00498189 0.296484i
\(291\) −1.44547 + 10.0535i −0.0847352 + 0.589346i
\(292\) 2.58487 13.4031i 0.151268 0.784359i
\(293\) 9.20169 20.1489i 0.537568 1.17711i −0.424781 0.905296i \(-0.639649\pi\)
0.962350 0.271814i \(-0.0876237\pi\)
\(294\) −2.70677 + 2.58059i −0.157862 + 0.150503i
\(295\) −7.35524 + 5.98764i −0.428238 + 0.348614i
\(296\) 4.14316 + 28.8522i 0.240816 + 1.67700i
\(297\) 1.61752 + 1.03951i 0.0938578 + 0.0603188i
\(298\) −17.7013 10.2213i −1.02541 0.592101i
\(299\) −19.6133 + 5.92621i −1.13427 + 0.342722i
\(300\) −9.81396 5.85075i −0.566609 0.337793i
\(301\) 16.1040 + 10.3494i 0.928221 + 0.596531i
\(302\) −7.73375 + 19.3147i −0.445027 + 1.11144i
\(303\) 5.13147 + 11.2364i 0.294795 + 0.645512i
\(304\) 13.6914 13.0486i 0.785253 0.748387i
\(305\) −7.28751 1.27752i −0.417282 0.0731506i
\(306\) 4.58307 + 13.2444i 0.261997 + 0.757132i
\(307\) 2.37149 16.4941i 0.135348 0.941366i −0.803075 0.595878i \(-0.796804\pi\)
0.938423 0.345488i \(-0.112287\pi\)
\(308\) −1.51011 + 1.58339i −0.0860466 + 0.0902219i
\(309\) −14.3300 + 12.4170i −0.815203 + 0.706378i
\(310\) 21.0409 6.56412i 1.19505 0.372817i
\(311\) −10.1798 15.8401i −0.577246 0.898212i 0.422722 0.906260i \(-0.361075\pi\)
−0.999968 + 0.00804739i \(0.997438\pi\)
\(312\) −10.4358 + 9.03951i −0.590813 + 0.511761i
\(313\) 6.09461 1.78954i 0.344488 0.101151i −0.104912 0.994482i \(-0.533456\pi\)
0.449400 + 0.893331i \(0.351638\pi\)
\(314\) −5.41579 4.25954i −0.305631 0.240380i
\(315\) −10.3666 5.12501i −0.584093 0.288762i
\(316\) 3.83760 0.365993i 0.215882 0.0205887i
\(317\) 3.03243 10.3275i 0.170318 0.580050i −0.829451 0.558579i \(-0.811347\pi\)
0.999769 0.0214711i \(-0.00683499\pi\)
\(318\) −14.2562 1.36215i −0.799450 0.0763854i
\(319\) 0.0814628 + 0.566586i 0.00456104 + 0.0317227i
\(320\) 16.9990 + 5.57090i 0.950271 + 0.311423i
\(321\) 14.7381i 0.822600i
\(322\) −16.3698 12.6687i −0.912253 0.705998i
\(323\) 27.6524 1.53862
\(324\) −0.0996762 + 2.08733i −0.00553756 + 0.115963i
\(325\) −16.9728 + 12.9704i −0.941482 + 0.719468i
\(326\) 29.7029 + 2.83804i 1.64509 + 0.157184i
\(327\) −1.91432 + 6.51956i −0.105862 + 0.360533i
\(328\) 11.6445 25.4861i 0.642961 1.40724i
\(329\) 20.5324 + 17.7914i 1.13199 + 0.980873i
\(330\) 1.18700 + 0.518165i 0.0653424 + 0.0285240i
\(331\) −6.35053 21.6279i −0.349057 1.18878i −0.927740 0.373226i \(-0.878252\pi\)
0.578684 0.815552i \(-0.303567\pi\)
\(332\) 4.56944 + 1.58210i 0.250781 + 0.0868289i
\(333\) 14.6909 9.44126i 0.805056 0.517378i
\(334\) −0.804229 16.9036i −0.0440054 0.924926i
\(335\) 11.6471 16.9539i 0.636350 0.926293i
\(336\) −13.5543 3.29159i −0.739447 0.179571i
\(337\) 2.69724 18.7597i 0.146928 1.02191i −0.774282 0.632841i \(-0.781889\pi\)
0.921210 0.389066i \(-0.127202\pi\)
\(338\) 2.42900 + 7.01947i 0.132120 + 0.381809i
\(339\) −4.55181 + 9.96708i −0.247220 + 0.541337i
\(340\) 12.3720 + 23.0427i 0.670964 + 1.24966i
\(341\) −2.27272 + 1.03792i −0.123075 + 0.0562064i
\(342\) −10.5194 4.21203i −0.568822 0.227761i
\(343\) 7.73119 12.0300i 0.417445 0.649557i
\(344\) −0.00311113 + 17.7408i −0.000167741 + 0.956521i
\(345\) −3.72036 + 11.6741i −0.200297 + 0.628515i
\(346\) −2.44280 1.41054i −0.131326 0.0758312i
\(347\) 5.99164 + 3.85059i 0.321648 + 0.206711i 0.691494 0.722383i \(-0.256953\pi\)
−0.369845 + 0.929093i \(0.620589\pi\)
\(348\) −2.86856 + 2.25531i −0.153771 + 0.120898i
\(349\) −3.89873 8.53702i −0.208694 0.456976i 0.776121 0.630584i \(-0.217185\pi\)
−0.984815 + 0.173608i \(0.944457\pi\)
\(350\) −20.6197 6.36798i −1.10217 0.340383i
\(351\) 20.8448 + 9.51952i 1.11261 + 0.508114i
\(352\) −1.99103 0.384344i −0.106122 0.0204856i
\(353\) −7.63217 1.09734i −0.406220 0.0584056i −0.0638234 0.997961i \(-0.520329\pi\)
−0.342396 + 0.939556i \(0.611239\pi\)
\(354\) 6.66024 + 1.61617i 0.353988 + 0.0858984i
\(355\) 9.08534 13.2249i 0.482200 0.701906i
\(356\) 0.925779 1.79524i 0.0490662 0.0951478i
\(357\) −11.0253 17.1557i −0.583521 0.907976i
\(358\) 2.03491 + 10.5614i 0.107548 + 0.558189i
\(359\) 16.1026 4.72816i 0.849864 0.249543i 0.172335 0.985038i \(-0.444869\pi\)
0.677529 + 0.735496i \(0.263051\pi\)
\(360\) −1.19660 10.6503i −0.0630662 0.561318i
\(361\) −2.19862 + 2.53734i −0.115717 + 0.133544i
\(362\) −17.5030 + 12.4623i −0.919939 + 0.655005i
\(363\) 11.9182 + 3.49951i 0.625545 + 0.183676i
\(364\) −15.1290 + 21.2404i −0.792974 + 1.11330i
\(365\) −14.0704 + 5.91010i −0.736481 + 0.309349i
\(366\) 2.44959 + 4.75222i 0.128042 + 0.248403i
\(367\) 16.5077i 0.861696i 0.902424 + 0.430848i \(0.141786\pi\)
−0.902424 + 0.430848i \(0.858214\pi\)
\(368\) 1.67836 19.1098i 0.0874908 0.996165i
\(369\) −16.7873 −0.873914
\(370\) 24.2669 21.7518i 1.26157 1.13082i
\(371\) −26.7744 + 3.84957i −1.39006 + 0.199860i
\(372\) −12.9729 9.24028i −0.672616 0.479086i
\(373\) −12.7182 3.73439i −0.658522 0.193359i −0.0646362 0.997909i \(-0.520589\pi\)
−0.593886 + 0.804549i \(0.702407\pi\)
\(374\) −1.71957 2.41510i −0.0889169 0.124882i
\(375\) 0.645850 + 12.7579i 0.0333516 + 0.658815i
\(376\) −3.58762 + 24.9215i −0.185018 + 1.28523i
\(377\) 1.92202 + 6.54578i 0.0989888 + 0.337125i
\(378\) 4.38001 + 22.7328i 0.225284 + 1.16925i
\(379\) −4.33045 + 2.78301i −0.222440 + 0.142954i −0.647115 0.762392i \(-0.724025\pi\)
0.424675 + 0.905346i \(0.360388\pi\)
\(380\) −20.6304 4.64058i −1.05832 0.238056i
\(381\) 11.7640 + 13.5764i 0.602688 + 0.695539i
\(382\) −1.12358 + 4.63027i −0.0574873 + 0.236905i
\(383\) 2.45696 + 0.353258i 0.125545 + 0.0180506i 0.204801 0.978804i \(-0.434345\pi\)
−0.0792560 + 0.996854i \(0.525254\pi\)
\(384\) −4.22289 12.2174i −0.215498 0.623467i
\(385\) 2.40957 + 0.422404i 0.122803 + 0.0215277i
\(386\) −13.5543 14.2170i −0.689897 0.723628i
\(387\) 9.66827 4.41535i 0.491466 0.224445i
\(388\) −13.9766 + 10.9887i −0.709554 + 0.557866i
\(389\) 11.5113 17.9120i 0.583648 0.908174i −0.416351 0.909204i \(-0.636691\pi\)
0.999999 + 0.00102965i \(0.000327747\pi\)
\(390\) 14.8818 + 4.09941i 0.753571 + 0.207582i
\(391\) 21.0520 18.5323i 1.06465 0.937218i
\(392\) −6.54632 0.00114800i −0.330639 5.79828e-5i
\(393\) 0.310895 0.483762i 0.0156826 0.0244025i
\(394\) −2.57884 + 6.44054i −0.129920 + 0.324470i
\(395\) −2.72102 3.34251i −0.136910 0.168180i
\(396\) 0.286280 + 1.18066i 0.0143861 + 0.0593306i
\(397\) −13.0969 5.98116i −0.657315 0.300186i 0.0586948 0.998276i \(-0.481306\pi\)
−0.716010 + 0.698090i \(0.754033\pi\)
\(398\) 7.47072 + 21.5893i 0.374473 + 1.08217i
\(399\) 16.3202 + 2.34650i 0.817034 + 0.117472i
\(400\) −5.36326 19.2675i −0.268163 0.963374i
\(401\) −0.463048 + 0.401234i −0.0231235 + 0.0200366i −0.666346 0.745643i \(-0.732143\pi\)
0.643222 + 0.765679i \(0.277597\pi\)
\(402\) −14.8469 + 0.706376i −0.740497 + 0.0352308i
\(403\) −25.0506 + 16.0991i −1.24786 + 0.801951i
\(404\) −7.07447 + 20.4326i −0.351968 + 1.01656i
\(405\) 2.00337 1.20213i 0.0995480 0.0597341i
\(406\) −4.26077 + 5.41736i −0.211458 + 0.268859i
\(407\) −2.41915 + 2.79185i −0.119913 + 0.138387i
\(408\) 7.85410 17.1901i 0.388836 0.851037i
\(409\) 16.9332 + 4.97204i 0.837293 + 0.245851i 0.672147 0.740418i \(-0.265372\pi\)
0.165146 + 0.986269i \(0.447190\pi\)
\(410\) −30.9295 + 4.97873i −1.52750 + 0.245882i
\(411\) −2.28706 15.9068i −0.112812 0.784626i
\(412\) −33.1530 1.58316i −1.63333 0.0779965i
\(413\) 12.9449 0.636976
\(414\) −10.8313 + 3.84329i −0.532332 + 0.188887i
\(415\) −1.36299 5.23171i −0.0669066 0.256815i
\(416\) −24.1399 1.15700i −1.18356 0.0567264i
\(417\) 6.94947 0.999183i 0.340317 0.0489302i
\(418\) 2.38616 + 0.227992i 0.116711 + 0.0111514i
\(419\) 3.64113 + 1.06913i 0.177881 + 0.0522305i 0.369460 0.929247i \(-0.379543\pi\)
−0.191579 + 0.981477i \(0.561361\pi\)
\(420\) 5.34651 + 14.6495i 0.260883 + 0.714820i
\(421\) −22.8979 19.8411i −1.11597 0.966996i −0.116317 0.993212i \(-0.537109\pi\)
−0.999656 + 0.0262158i \(0.991654\pi\)
\(422\) 5.91516 7.52083i 0.287945 0.366108i
\(423\) 14.4737 4.24985i 0.703734 0.206635i
\(424\) −16.4131 18.9484i −0.797088 0.920215i
\(425\) 13.7584 25.8020i 0.667382 1.25158i
\(426\) −11.5813 + 0.551009i −0.561118 + 0.0266965i
\(427\) 6.61295 + 7.63175i 0.320023 + 0.369326i
\(428\) 17.8051 18.6690i 0.860640 0.902402i
\(429\) −1.73198 0.249021i −0.0836209 0.0120229i
\(430\) 16.5036 11.0023i 0.795874 0.530580i
\(431\) −13.3305 + 29.1898i −0.642108 + 1.40602i 0.256187 + 0.966627i \(0.417534\pi\)
−0.898295 + 0.439393i \(0.855193\pi\)
\(432\) −15.5314 + 14.8022i −0.747254 + 0.712171i
\(433\) −6.25076 13.6873i −0.300392 0.657767i 0.697899 0.716196i \(-0.254118\pi\)
−0.998292 + 0.0584286i \(0.981391\pi\)
\(434\) −27.9278 11.1825i −1.34058 0.536777i
\(435\) 3.87725 + 1.26915i 0.185900 + 0.0608509i
\(436\) −10.3012 + 5.94578i −0.493336 + 0.284751i
\(437\) 0.177573 + 22.6757i 0.00849449 + 1.08473i
\(438\) 9.55030 + 5.51461i 0.456331 + 0.263498i
\(439\) 9.58812 14.9194i 0.457616 0.712064i −0.533392 0.845868i \(-0.679083\pi\)
0.991008 + 0.133804i \(0.0427192\pi\)
\(440\) 0.877608 + 2.09039i 0.0418383 + 0.0996553i
\(441\) 1.62925 + 3.56757i 0.0775836 + 0.169884i
\(442\) −24.3819 25.5740i −1.15973 1.21643i
\(443\) 6.54103 14.3228i 0.310774 0.680499i −0.688213 0.725509i \(-0.741605\pi\)
0.998987 + 0.0450096i \(0.0143318\pi\)
\(444\) −23.1232 4.45943i −1.09738 0.211635i
\(445\) −2.24415 + 0.252537i −0.106383 + 0.0119714i
\(446\) 9.05193 37.3030i 0.428621 1.76635i
\(447\) 12.4805 10.8144i 0.590309 0.511506i
\(448\) −13.1929 20.5444i −0.623307 0.970633i
\(449\) −1.59056 + 1.02219i −0.0750633 + 0.0482403i −0.577634 0.816296i \(-0.696024\pi\)
0.502571 + 0.864536i \(0.332388\pi\)
\(450\) −9.16409 + 7.71975i −0.431999 + 0.363912i
\(451\) 3.40735 1.00049i 0.160446 0.0471112i
\(452\) −17.8071 + 7.12646i −0.837574 + 0.335200i
\(453\) −12.7034 11.0076i −0.596859 0.517182i
\(454\) −1.16993 + 0.833001i −0.0549076 + 0.0390947i
\(455\) 29.1419 + 0.896097i 1.36619 + 0.0420097i
\(456\) 6.34528 + 13.9007i 0.297145 + 0.650959i
\(457\) −1.38022 9.59964i −0.0645640 0.449052i −0.996302 0.0859211i \(-0.972617\pi\)
0.931738 0.363131i \(-0.118292\pi\)
\(458\) 13.9854 + 27.1318i 0.653494 + 1.26778i
\(459\) −31.3687 −1.46417
\(460\) −18.8162 + 10.2933i −0.877308 + 0.479928i
\(461\) −6.23015 −0.290167 −0.145084 0.989419i \(-0.546345\pi\)
−0.145084 + 0.989419i \(0.546345\pi\)
\(462\) −0.809941 1.57129i −0.0376818 0.0731031i
\(463\) 3.27584 + 22.7840i 0.152241 + 1.05886i 0.912452 + 0.409185i \(0.134187\pi\)
−0.760210 + 0.649677i \(0.774904\pi\)
\(464\) −6.35829 0.608644i −0.295176 0.0282556i
\(465\) −0.547306 + 17.7989i −0.0253807 + 0.825404i
\(466\) 11.5868 8.24990i 0.536748 0.382169i
\(467\) 9.78356 + 8.47750i 0.452729 + 0.392292i 0.851160 0.524906i \(-0.175900\pi\)
−0.398431 + 0.917198i \(0.630445\pi\)
\(468\) 5.37978 + 13.4426i 0.248681 + 0.621385i
\(469\) −26.9372 + 7.90949i −1.24385 + 0.365226i
\(470\) 25.4063 12.1226i 1.17190 0.559174i
\(471\) 4.68298 3.00957i 0.215780 0.138674i
\(472\) 6.48416 + 10.0934i 0.298458 + 0.464589i
\(473\) −1.69924 + 1.47240i −0.0781311 + 0.0677009i
\(474\) −0.734452 + 3.02668i −0.0337345 + 0.139020i
\(475\) 8.48130 + 22.0681i 0.389149 + 1.01256i
\(476\) 6.75980 35.0511i 0.309835 1.60656i
\(477\) −6.23907 + 13.6617i −0.285667 + 0.625524i
\(478\) −19.0797 20.0126i −0.872687 0.915355i
\(479\) 2.14926 + 4.70623i 0.0982023 + 0.215033i 0.952357 0.304986i \(-0.0986519\pi\)
−0.854154 + 0.520020i \(0.825925\pi\)
\(480\) −8.74445 + 11.5068i −0.399128 + 0.525212i
\(481\) −23.8031 + 37.0384i −1.08533 + 1.68881i
\(482\) 25.4888 + 14.7180i 1.16098 + 0.670385i
\(483\) 13.9973 9.15122i 0.636901 0.416395i
\(484\) 10.8693 + 18.8313i 0.494059 + 0.855967i
\(485\) 18.8913 + 6.18372i 0.857811 + 0.280788i
\(486\) 19.5588 + 7.83150i 0.887206 + 0.355244i
\(487\) −8.38950 18.3704i −0.380164 0.832444i −0.998902 0.0468463i \(-0.985083\pi\)
0.618738 0.785598i \(-0.287644\pi\)
\(488\) −2.63820 + 8.97907i −0.119426 + 0.406463i
\(489\) −10.0143 + 21.9282i −0.452862 + 0.991629i
\(490\) 4.05984 + 6.08980i 0.183405 + 0.275109i
\(491\) −7.76409 1.11631i −0.350388 0.0503782i −0.0351262 0.999383i \(-0.511183\pi\)
−0.315262 + 0.949005i \(0.602092\pi\)
\(492\) 16.3821 + 15.6239i 0.738560 + 0.704381i
\(493\) −6.11551 7.05767i −0.275429 0.317862i
\(494\) 28.5360 1.35767i 1.28390 0.0610843i
\(495\) 0.920609 0.998691i 0.0413783 0.0448878i
\(496\) −5.26992 27.3774i −0.236627 1.22928i
\(497\) −21.0124 + 6.16980i −0.942535 + 0.276753i
\(498\) −2.41516 + 3.07076i −0.108226 + 0.137604i
\(499\) −10.3416 8.96102i −0.462952 0.401150i 0.391912 0.920003i \(-0.371814\pi\)
−0.854864 + 0.518853i \(0.826359\pi\)
\(500\) −14.5947 + 16.9409i −0.652694 + 0.757622i
\(501\) 13.1183 + 3.85188i 0.586083 + 0.172089i
\(502\) 6.93832 + 0.662939i 0.309672 + 0.0295884i
\(503\) −18.0810 + 2.59966i −0.806194 + 0.115913i −0.533076 0.846067i \(-0.678964\pi\)
−0.273118 + 0.961981i \(0.588055\pi\)
\(504\) −7.91053 + 12.3043i −0.352363 + 0.548076i
\(505\) 23.3940 6.09472i 1.04102 0.271211i
\(506\) 1.96940 1.42560i 0.0875507 0.0633758i
\(507\) −6.00107 −0.266517
\(508\) −1.49990 + 31.4095i −0.0665473 + 1.39357i
\(509\) 0.0664131 + 0.461913i 0.00294371 + 0.0204740i 0.991240 0.132070i \(-0.0421624\pi\)
−0.988297 + 0.152544i \(0.951253\pi\)
\(510\) −20.8616 + 3.35810i −0.923767 + 0.148699i
\(511\) 19.9860 + 5.86843i 0.884131 + 0.259604i
\(512\) 9.41060 20.5777i 0.415894 0.909413i
\(513\) 16.6086 19.1674i 0.733289 0.846260i
\(514\) 23.1151 29.3897i 1.01956 1.29632i
\(515\) 19.0934 + 31.8194i 0.841354 + 1.40213i
\(516\) −13.5442 4.68947i −0.596250 0.206442i
\(517\) −2.68446 + 1.72520i −0.118062 + 0.0758741i
\(518\) −44.4294 + 2.11383i −1.95211 + 0.0928763i
\(519\) 1.72232 1.49240i 0.0756016 0.0655092i
\(520\) 13.8986 + 23.1715i 0.609495 + 1.01614i
\(521\) −26.6310 3.82897i −1.16673 0.167750i −0.468392 0.883521i \(-0.655167\pi\)
−0.698335 + 0.715771i \(0.746076\pi\)
\(522\) 1.25140 + 3.61636i 0.0547722 + 0.158284i
\(523\) −1.78774 0.816433i −0.0781723 0.0357001i 0.375945 0.926642i \(-0.377318\pi\)
−0.454118 + 0.890942i \(0.650045\pi\)
\(524\) 0.978247 0.237199i 0.0427349 0.0103621i
\(525\) 10.3096 14.0606i 0.449948 0.613657i
\(526\) 1.94838 4.86599i 0.0849534 0.212167i
\(527\) 22.0376 34.2912i 0.959972 1.49375i
\(528\) 0.819471 1.41860i 0.0356629 0.0617366i
\(529\) 15.3322 + 17.1442i 0.666616 + 0.745401i
\(530\) −7.44331 + 27.0210i −0.323317 + 1.17372i
\(531\) 3.88581 6.04644i 0.168630 0.262393i
\(532\) 17.8384 + 22.6888i 0.773392 + 0.983684i
\(533\) 38.4992 17.5820i 1.66759 0.761561i
\(534\) 1.12607 + 1.18113i 0.0487299 + 0.0511124i
\(535\) −28.4101 4.98038i −1.22828 0.215321i
\(536\) −19.6603 17.0417i −0.849194 0.736091i
\(537\) −8.60122 1.23667i −0.371170 0.0533662i
\(538\) −0.918610 + 3.78559i −0.0396041 + 0.163209i
\(539\) −0.543312 0.627015i −0.0234021 0.0270075i
\(540\) 23.4030 + 5.26424i 1.00710 + 0.226537i
\(541\) 6.97924 4.48529i 0.300061 0.192838i −0.381943 0.924186i \(-0.624745\pi\)
0.682004 + 0.731348i \(0.261109\pi\)
\(542\) −6.55883 34.0411i −0.281726 1.46219i
\(543\) −4.89064 16.6560i −0.209878 0.714777i
\(544\) 30.7163 12.2865i 1.31695 0.526780i
\(545\) 11.9207 + 5.89329i 0.510625 + 0.252441i
\(546\) −12.2199 17.1626i −0.522964 0.734491i
\(547\) 36.7307 + 10.7851i 1.57049 + 0.461138i 0.947145 0.320807i \(-0.103954\pi\)
0.623347 + 0.781945i \(0.285772\pi\)
\(548\) 16.3199 22.9125i 0.697153 0.978772i
\(549\) 5.54981 0.797942i 0.236860 0.0340553i
\(550\) 1.39997 2.11305i 0.0596949 0.0901007i
\(551\) 7.55043 0.321659
\(552\) 14.1468 + 6.33019i 0.602127 + 0.269431i
\(553\) 5.88267i 0.250157i
\(554\) −5.47177 10.6153i −0.232473 0.451000i
\(555\) 10.1961 + 24.2744i 0.432802 + 1.03039i
\(556\) 10.0101 + 7.12995i 0.424524 + 0.302377i
\(557\) −12.8731 3.77990i −0.545452 0.160159i −0.00261426 0.999997i \(-0.500832\pi\)
−0.542838 + 0.839837i \(0.682650\pi\)
\(558\) −13.6067 + 9.68807i −0.576016 + 0.410129i
\(559\) −17.5483 + 20.2519i −0.742216 + 0.856563i
\(560\) −10.9254 + 25.0159i −0.461684 + 1.05711i
\(561\) 2.29822 0.674819i 0.0970310 0.0284909i
\(562\) 0.667011 + 3.46187i 0.0281362 + 0.146030i
\(563\) −4.50777 7.01423i −0.189980 0.295615i 0.733177 0.680038i \(-0.238037\pi\)
−0.923157 + 0.384423i \(0.874400\pi\)
\(564\) −18.0796 9.32334i −0.761287 0.392583i
\(565\) 17.6750 + 12.1425i 0.743594 + 0.510839i
\(566\) −0.537918 0.130531i −0.0226104 0.00548662i
\(567\) −3.15639 0.453821i −0.132556 0.0190587i
\(568\) −15.3360 13.2934i −0.643483 0.557779i
\(569\) −3.59103 1.63997i −0.150544 0.0687510i 0.338718 0.940888i \(-0.390007\pi\)
−0.489262 + 0.872137i \(0.662734\pi\)
\(570\) 8.99357 14.5252i 0.376699 0.608392i
\(571\) −9.44075 20.6724i −0.395083 0.865111i −0.997745 0.0671149i \(-0.978621\pi\)
0.602662 0.797996i \(-0.294107\pi\)
\(572\) −1.89309 2.40784i −0.0791542 0.100677i
\(573\) −3.23834 2.08116i −0.135284 0.0869416i
\(574\) 37.0286 + 21.3814i 1.54555 + 0.892442i
\(575\) 21.2467 + 11.1166i 0.886047 + 0.463595i
\(576\) −13.5564 0.00475466i −0.564850 0.000198111i
\(577\) −10.7333 + 16.7014i −0.446834 + 0.695287i −0.989479 0.144675i \(-0.953786\pi\)
0.542646 + 0.839962i \(0.317423\pi\)
\(578\) 22.5834 + 9.04258i 0.939347 + 0.376122i
\(579\) 14.4357 6.59254i 0.599925 0.273977i
\(580\) 3.37814 + 6.29175i 0.140270 + 0.261251i
\(581\) −3.06535 + 6.71218i −0.127172 + 0.278468i
\(582\) −4.69721 13.5743i −0.194705 0.562671i
\(583\) 0.452149 3.14476i 0.0187261 0.130243i
\(584\) 5.43536 + 18.5232i 0.224917 + 0.766494i
\(585\) 9.16641 13.3429i 0.378985 0.551662i
\(586\) 1.48871 + 31.2903i 0.0614979 + 1.29259i
\(587\) 16.0834 10.3362i 0.663834 0.426620i −0.164864 0.986316i \(-0.552719\pi\)
0.828698 + 0.559696i \(0.189082\pi\)
\(588\) 1.73040 4.99778i 0.0713606 0.206105i
\(589\) 9.28497 + 31.6217i 0.382580 + 1.30295i
\(590\) 5.36610 12.2926i 0.220919 0.506078i
\(591\) −4.23600 3.67051i −0.174246 0.150985i
\(592\) −23.9031 33.5839i −0.982412 1.38029i
\(593\) −3.13509 + 10.6771i −0.128743 + 0.438458i −0.998484 0.0550513i \(-0.982468\pi\)
0.869741 + 0.493509i \(0.164286\pi\)
\(594\) −2.70685 0.258632i −0.111063 0.0106118i
\(595\) −36.7962 + 15.4558i −1.50850 + 0.633625i
\(596\) 28.8742 + 1.37883i 1.18273 + 0.0564792i
\(597\) −18.4571 −0.755398
\(598\) 20.8148 20.1581i 0.851182 0.824325i
\(599\) 35.8102i 1.46316i 0.681753 + 0.731582i \(0.261218\pi\)
−0.681753 + 0.731582i \(0.738782\pi\)
\(600\) 16.1276 + 0.995606i 0.658406 + 0.0406454i
\(601\) −3.48408 24.2323i −0.142119 0.988456i −0.928663 0.370923i \(-0.879041\pi\)
0.786545 0.617533i \(-0.211868\pi\)
\(602\) −26.9494 2.57495i −1.09838 0.104947i
\(603\) −4.39161 + 14.9564i −0.178840 + 0.609074i
\(604\) −2.79345 29.2905i −0.113664 1.19181i
\(605\) 10.7734 21.7918i 0.437999 0.885963i
\(606\) −13.7311 10.7996i −0.557789 0.438703i
\(607\) −34.3355 + 10.0818i −1.39363 + 0.409208i −0.890493 0.454996i \(-0.849641\pi\)
−0.503141 + 0.864204i \(0.667822\pi\)
\(608\) −8.75568 + 25.2740i −0.355090 + 1.02500i
\(609\) −3.01044 4.68433i −0.121989 0.189819i
\(610\) 9.98848 3.11610i 0.404422 0.126167i
\(611\) −28.7421 + 24.9052i −1.16278 + 1.00756i
\(612\) −14.3429 13.6791i −0.579778 0.552946i
\(613\) −3.81841 + 26.5576i −0.154224 + 1.07265i 0.754814 + 0.655939i \(0.227727\pi\)
−0.909038 + 0.416714i \(0.863182\pi\)
\(614\) 7.70638 + 22.2703i 0.311004 + 0.898757i
\(615\) 4.37028 24.9299i 0.176227 1.00527i
\(616\) 0.872305 2.96887i 0.0351462 0.119619i
\(617\) −5.20001 11.3864i −0.209345 0.458401i 0.775610 0.631212i \(-0.217442\pi\)
−0.984955 + 0.172811i \(0.944715\pi\)
\(618\) 9.96768 24.8939i 0.400959 1.00138i
\(619\) −12.7311 8.18176i −0.511705 0.328853i 0.259178 0.965830i \(-0.416548\pi\)
−0.770883 + 0.636977i \(0.780185\pi\)
\(620\) −22.1961 + 21.8850i −0.891416 + 0.878923i
\(621\) −0.201438 25.7232i −0.00808343 1.03224i
\(622\) 23.0602 + 13.3156i 0.924630 + 0.533907i
\(623\) 2.59301 + 1.66643i 0.103887 + 0.0667640i
\(624\) 7.26108 18.1250i 0.290676 0.725581i
\(625\) 24.8113 + 3.06624i 0.992450 + 0.122649i
\(626\) −6.50163 + 6.19856i −0.259857 + 0.247744i
\(627\) −0.804490 + 1.76159i −0.0321282 + 0.0703510i
\(628\) 9.56787 + 1.84522i 0.381800 + 0.0736322i
\(629\) 8.57708 59.6549i 0.341990 2.37860i
\(630\) 16.3520 0.274768i 0.651481 0.0109470i
\(631\) 12.8366 + 14.8142i 0.511018 + 0.589746i 0.951359 0.308085i \(-0.0996880\pi\)
−0.440341 + 0.897830i \(0.645143\pi\)
\(632\) −4.58687 + 2.94666i −0.182456 + 0.117212i
\(633\) 4.17934 + 6.50318i 0.166114 + 0.258478i
\(634\) 2.87989 + 14.9470i 0.114375 + 0.593620i
\(635\) 30.1461 18.0893i 1.19631 0.717851i
\(636\) 18.8033 7.52515i 0.745599 0.298392i
\(637\) −7.47290 6.47530i −0.296087 0.256561i
\(638\) −0.469525 0.659438i −0.0185887 0.0261074i
\(639\) −3.42567 + 11.6668i −0.135518 + 0.461530i
\(640\) −24.9781 + 4.01175i −0.987346 + 0.158578i
\(641\) 46.5788 6.69702i 1.83975 0.264516i 0.867328 0.497737i \(-0.165836\pi\)
0.972424 + 0.233221i \(0.0749265\pi\)
\(642\) 9.54965 + 18.5264i 0.376895 + 0.731178i
\(643\) 47.4749i 1.87223i −0.351698 0.936113i \(-0.614396\pi\)
0.351698 0.936113i \(-0.385604\pi\)
\(644\) 28.7863 + 5.31813i 1.13434 + 0.209564i
\(645\) 4.04001 + 15.5072i 0.159075 + 0.610596i
\(646\) −34.7602 + 17.9176i −1.36762 + 0.704957i
\(647\) −0.341819 2.37741i −0.0134383 0.0934655i 0.981998 0.188889i \(-0.0604886\pi\)
−0.995437 + 0.0954234i \(0.969580\pi\)
\(648\) −1.22720 2.68844i −0.0482090 0.105612i
\(649\) −0.428355 + 1.45884i −0.0168144 + 0.0572646i
\(650\) 12.9313 27.3020i 0.507206 1.07087i
\(651\) 15.9163 18.3683i 0.623808 0.719912i
\(652\) −39.1767 + 15.6787i −1.53428 + 0.614025i
\(653\) −9.90787 33.7431i −0.387725 1.32047i −0.890079 0.455807i \(-0.849351\pi\)
0.502354 0.864662i \(-0.332468\pi\)
\(654\) −1.81802 9.43575i −0.0710902 0.368967i
\(655\) −0.827472 0.762777i −0.0323320 0.0298042i
\(656\) 1.87626 + 39.5822i 0.0732556 + 1.54543i
\(657\) 8.74054 7.57372i 0.341001 0.295479i
\(658\) −37.3381 9.06044i −1.45559 0.353213i
\(659\) 3.69934 25.7294i 0.144106 1.00228i −0.781532 0.623865i \(-0.785561\pi\)
0.925637 0.378411i \(-0.123530\pi\)
\(660\) −1.82786 + 0.117773i −0.0711494 + 0.00458430i
\(661\) −11.1977 5.11381i −0.435539 0.198904i 0.185565 0.982632i \(-0.440588\pi\)
−0.621104 + 0.783728i \(0.713316\pi\)
\(662\) 21.9968 + 23.0723i 0.854931 + 0.896731i
\(663\) 25.9673 11.8589i 1.00849 0.460560i
\(664\) −6.76911 + 0.972039i −0.262692 + 0.0377224i
\(665\) 10.0383 30.6671i 0.389268 1.18922i
\(666\) −12.3495 + 21.3871i −0.478534 + 0.828734i
\(667\) 5.74821 5.06021i 0.222572 0.195932i
\(668\) 11.9638 + 20.7275i 0.462892 + 0.801969i
\(669\) 26.0892 + 16.7665i 1.00867 + 0.648230i
\(670\) −3.65549 + 28.8586i −0.141224 + 1.11491i
\(671\) −1.07890 + 0.492716i −0.0416504 + 0.0190211i
\(672\) 19.1711 4.64493i 0.739541 0.179182i
\(673\) −7.04292 3.21639i −0.271485 0.123983i 0.275021 0.961438i \(-0.411315\pi\)
−0.546506 + 0.837455i \(0.684042\pi\)
\(674\) 8.76495 + 25.3294i 0.337613 + 0.975654i
\(675\) −9.62113 25.0339i −0.370317 0.963557i
\(676\) −7.60167 7.24987i −0.292372 0.278841i
\(677\) 6.87119 + 7.92978i 0.264081 + 0.304766i 0.872268 0.489028i \(-0.162648\pi\)
−0.608187 + 0.793794i \(0.708103\pi\)
\(678\) −0.736420 15.4784i −0.0282820 0.594444i
\(679\) −14.6679 22.8237i −0.562902 0.875893i
\(680\) −30.4827 20.9491i −1.16896 0.803360i
\(681\) −0.326898 1.11331i −0.0125268 0.0426623i
\(682\) 2.18438 2.77733i 0.0836442 0.106349i
\(683\) −32.1467 + 37.0993i −1.23006 + 1.41956i −0.355477 + 0.934685i \(0.615682\pi\)
−0.874581 + 0.484879i \(0.838864\pi\)
\(684\) 15.9525 1.52140i 0.609959 0.0581721i
\(685\) −31.4359 0.966637i −1.20110 0.0369333i
\(686\) −1.92353 + 20.1316i −0.0734405 + 0.768629i
\(687\) −24.4099 + 3.50961i −0.931295 + 0.133900i
\(688\) −11.4914 22.3029i −0.438104 0.850292i
\(689\) 37.8653i 1.44255i
\(690\) −2.88770 17.0855i −0.109933 0.650434i
\(691\) 35.1658i 1.33777i 0.743365 + 0.668886i \(0.233228\pi\)
−0.743365 + 0.668886i \(0.766772\pi\)
\(692\) 3.98467 + 0.190280i 0.151474 + 0.00723336i
\(693\) −1.83501 + 0.263834i −0.0697062 + 0.0100222i
\(694\) −10.0268 0.958031i −0.380611 0.0363664i
\(695\) 0.422310 13.7339i 0.0160191 0.520957i
\(696\) 2.14455 4.69372i 0.0812888 0.177915i
\(697\) −37.9401 + 43.7853i −1.43709 + 1.65848i
\(698\) 10.4325 + 8.20518i 0.394875 + 0.310571i
\(699\) 3.23755 + 11.0261i 0.122455 + 0.417044i
\(700\) 30.0460 5.35587i 1.13563 0.202433i
\(701\) −27.1014 42.1706i −1.02361 1.59276i −0.782883 0.622169i \(-0.786251\pi\)
−0.240724 0.970594i \(-0.577385\pi\)
\(702\) −32.3710 + 1.54013i −1.22177 + 0.0581283i
\(703\) 31.9100 + 36.8261i 1.20351 + 1.38892i
\(704\) 2.75185 0.806967i 0.103714 0.0304137i
\(705\) 2.54325 + 22.6003i 0.0957842 + 0.851178i
\(706\) 10.3050 3.56592i 0.387833 0.134205i
\(707\) −30.0140 13.7070i −1.12879 0.515503i
\(708\) −9.41940 + 2.28396i −0.354003 + 0.0858363i
\(709\) 22.0523 10.0709i 0.828190 0.378222i 0.0442212 0.999022i \(-0.485919\pi\)
0.783969 + 0.620800i \(0.213192\pi\)
\(710\) −2.85147 + 22.5112i −0.107014 + 0.844829i
\(711\) 2.74775 + 1.76587i 0.103049 + 0.0662253i
\(712\) −0.000500943 2.85656i −1.87736e−5 0.107054i
\(713\) 28.2612 + 17.8512i 1.05839 + 0.668533i
\(714\) 24.9754 + 14.4215i 0.934681 + 0.539711i
\(715\) −1.06531 + 3.25454i −0.0398404 + 0.121713i
\(716\) −9.40131 11.9576i −0.351343 0.446877i
\(717\) 20.3204 9.27999i 0.758877 0.346568i
\(718\) −17.1780 + 16.3773i −0.641078 + 0.611195i
\(719\) −3.64305 1.66372i −0.135863 0.0620464i 0.346324 0.938115i \(-0.387430\pi\)
−0.482186 + 0.876069i \(0.660157\pi\)
\(720\) 8.40508 + 12.6125i 0.313239 + 0.470039i
\(721\) 7.20803 50.1329i 0.268441 1.86705i
\(722\) 1.11967 4.61416i 0.0416697 0.171721i
\(723\) −17.9712 + 15.5721i −0.668356 + 0.579134i
\(724\) 13.9270 27.0068i 0.517593 1.00370i
\(725\) 3.75671 7.04518i 0.139521 0.261651i
\(726\) −17.2492 + 3.32347i −0.640179 + 0.123346i
\(727\) 0.956968 + 3.25913i 0.0354920 + 0.120875i 0.975334 0.220736i \(-0.0708459\pi\)
−0.939842 + 0.341610i \(0.889028\pi\)
\(728\) 5.25487 36.5030i 0.194759 1.35289i
\(729\) −13.1994 + 15.2329i −0.488867 + 0.564183i
\(730\) 13.8576 16.5463i 0.512894 0.612405i
\(731\) 10.3345 35.1959i 0.382234 1.30177i
\(732\) −6.15847 4.38651i −0.227623 0.162130i
\(733\) 4.18785 + 29.1271i 0.154682 + 1.07583i 0.908239 + 0.418452i \(0.137427\pi\)
−0.753557 + 0.657382i \(0.771664\pi\)
\(734\) −10.6963 20.7509i −0.394807 0.765929i
\(735\) −5.72213 + 1.49076i −0.211064 + 0.0549874i
\(736\) 10.2725 + 25.1093i 0.378650 + 0.925540i
\(737\) 3.29746i 0.121464i
\(738\) 21.1024 10.8775i 0.776789 0.400405i
\(739\) −17.5438 + 2.52242i −0.645359 + 0.0927886i −0.457220 0.889354i \(-0.651155\pi\)
−0.188139 + 0.982142i \(0.560246\pi\)
\(740\) −16.4102 + 43.0668i −0.603251 + 1.58317i
\(741\) −6.50259 + 22.1458i −0.238879 + 0.813546i
\(742\) 31.1621 22.1877i 1.14400 0.814536i
\(743\) 37.2836 + 32.3064i 1.36780 + 1.18521i 0.962583 + 0.270986i \(0.0873497\pi\)
0.405218 + 0.914220i \(0.367196\pi\)
\(744\) 22.2948 + 3.20950i 0.817368 + 0.117666i
\(745\) −16.6292 27.7128i −0.609245 1.01532i
\(746\) 18.4070 3.54654i 0.673928 0.129848i
\(747\) 2.21504 + 3.44667i 0.0810441 + 0.126107i
\(748\) 3.72645 + 1.92167i 0.136252 + 0.0702632i
\(749\) 25.7804 + 29.7521i 0.941995 + 1.08712i
\(750\) −9.07843 15.6187i −0.331497 0.570315i
\(751\) −6.54600 + 45.5285i −0.238867 + 1.66136i 0.418823 + 0.908068i \(0.362443\pi\)
−0.657690 + 0.753289i \(0.728466\pi\)
\(752\) −11.6382 33.6519i −0.424403 1.22716i
\(753\) −2.33924 + 5.12222i −0.0852467 + 0.186664i
\(754\) −6.65744 6.98294i −0.242450 0.254304i
\(755\) −25.5118 + 20.7683i −0.928469 + 0.755834i
\(756\) −20.2357 25.7380i −0.735966 0.936083i
\(757\) 4.44479 + 2.85649i 0.161549 + 0.103821i 0.618917 0.785456i \(-0.287572\pi\)
−0.457369 + 0.889277i \(0.651208\pi\)
\(758\) 3.64029 6.30431i 0.132221 0.228983i
\(759\) 0.568128 + 1.88027i 0.0206218 + 0.0682495i
\(760\) 28.9401 7.53420i 1.04977 0.273294i
\(761\) −14.9007 9.57610i −0.540150 0.347134i 0.241947 0.970289i \(-0.422214\pi\)
−0.782098 + 0.623156i \(0.785850\pi\)
\(762\) −23.5847 9.44351i −0.854385 0.342102i
\(763\) −7.53977 16.5098i −0.272958 0.597694i
\(764\) −1.58783 6.54848i −0.0574458 0.236916i
\(765\) −3.82629 + 21.8267i −0.138340 + 0.789148i
\(766\) −3.31740 + 1.14794i −0.119862 + 0.0414769i
\(767\) −2.57886 + 17.9364i −0.0931172 + 0.647644i
\(768\) 13.2247 + 12.6215i 0.477205 + 0.455440i
\(769\) −24.6041 + 21.3196i −0.887248 + 0.768805i −0.973791 0.227443i \(-0.926963\pi\)
0.0865435 + 0.996248i \(0.472418\pi\)
\(770\) −3.30263 + 1.03032i −0.119018 + 0.0371300i
\(771\) 16.3319 + 25.4130i 0.588180 + 0.915226i
\(772\) 26.2504 + 9.08877i 0.944771 + 0.327112i
\(773\) −37.8088 + 11.1017i −1.35989 + 0.399299i −0.878723 0.477332i \(-0.841604\pi\)
−0.481164 + 0.876631i \(0.659786\pi\)
\(774\) −9.29245 + 11.8149i −0.334010 + 0.424678i
\(775\) 34.1254 + 7.06972i 1.22582 + 0.253952i
\(776\) 10.4490 22.8694i 0.375096 0.820965i
\(777\) 10.1243 34.4801i 0.363206 1.23697i
\(778\) −2.86403 + 29.9750i −0.102680 + 1.07465i
\(779\) −6.66635 46.3655i −0.238847 1.66122i
\(780\) −21.3633 + 4.48966i −0.764930 + 0.160756i
\(781\) 2.57219i 0.0920400i
\(782\) −14.4551 + 36.9366i −0.516915 + 1.32085i
\(783\) −8.56516 −0.306094
\(784\) 8.22974 4.24029i 0.293919 0.151439i
\(785\) −4.21895 10.0442i −0.150581 0.358494i
\(786\) −0.0773508 + 0.809554i −0.00275901 + 0.0288758i
\(787\) −5.79311 + 19.7295i −0.206502 + 0.703281i 0.789484 + 0.613771i \(0.210348\pi\)
−0.995986 + 0.0895099i \(0.971470\pi\)
\(788\) −0.931484 9.76700i −0.0331827 0.347935i
\(789\) 3.20040 + 2.77317i 0.113937 + 0.0987273i
\(790\) 5.58624 + 2.43857i 0.198750 + 0.0867605i
\(791\) −8.24590 28.0830i −0.293190 0.998515i
\(792\) −1.12489 1.29865i −0.0399710 0.0461454i
\(793\) −11.8919 + 7.64248i −0.422295 + 0.271392i
\(794\) 20.3389 0.967669i 0.721800 0.0343413i
\(795\) −18.6639 12.8218i −0.661940 0.454743i
\(796\) −23.3799 22.2979i −0.828680 0.790329i
\(797\) −2.05709 + 14.3074i −0.0728659 + 0.506793i 0.920404 + 0.390969i \(0.127860\pi\)
−0.993270 + 0.115824i \(0.963049\pi\)
\(798\) −22.0356 + 7.62517i −0.780054 + 0.269928i
\(799\) 21.6265 47.3555i 0.765092 1.67532i
\(800\) 19.2263 + 20.7448i 0.679753 + 0.733441i
\(801\) 1.55675 0.710943i 0.0550050 0.0251200i
\(802\) 0.322089 0.804402i 0.0113733 0.0284044i
\(803\) −1.32270 + 2.05817i −0.0466772 + 0.0726311i
\(804\) 18.2055 10.5081i 0.642058 0.370592i
\(805\) −12.9104 30.0747i −0.455033 1.05999i
\(806\) 21.0582 36.4689i 0.741742 1.28456i
\(807\) −2.64759 1.70150i −0.0931995 0.0598957i
\(808\) −4.34655 30.2686i −0.152911 1.06485i
\(809\) 19.7113 + 43.1618i 0.693014 + 1.51749i 0.848241 + 0.529610i \(0.177662\pi\)
−0.155227 + 0.987879i \(0.549611\pi\)
\(810\) −1.73939 + 2.80922i −0.0611158 + 0.0987058i
\(811\) 29.8667 + 13.6397i 1.04876 + 0.478954i 0.863823 0.503796i \(-0.168064\pi\)
0.184940 + 0.982750i \(0.440791\pi\)
\(812\) 1.84575 9.57063i 0.0647731 0.335863i
\(813\) 27.7231 + 3.98597i 0.972290 + 0.139794i
\(814\) 1.23198 5.07698i 0.0431807 0.177948i
\(815\) 38.8863 + 26.7143i 1.36213 + 0.935762i
\(816\) 1.26552 + 26.6978i 0.0443019 + 0.934609i
\(817\) 16.0342 + 24.9497i 0.560966 + 0.872881i
\(818\) −24.5074 + 4.72193i −0.856881 + 0.165098i
\(819\) −21.1999 + 6.22485i −0.740785 + 0.217514i
\(820\) 35.6536 26.2994i 1.24508 0.918416i
\(821\) 0.783440 0.904138i 0.0273423 0.0315546i −0.741914 0.670495i \(-0.766082\pi\)
0.769256 + 0.638941i \(0.220627\pi\)
\(822\) 13.1819 + 18.5136i 0.459770 + 0.645737i
\(823\) −5.53342 1.62476i −0.192883 0.0566356i 0.183864 0.982952i \(-0.441139\pi\)
−0.376747 + 0.926316i \(0.622957\pi\)
\(824\) 42.7005 19.4916i 1.48754 0.679022i
\(825\) 1.24343 + 1.62713i 0.0432908 + 0.0566495i
\(826\) −16.2722 + 8.38772i −0.566184 + 0.291846i
\(827\) 15.2377i 0.529866i 0.964267 + 0.264933i \(0.0853499\pi\)
−0.964267 + 0.264933i \(0.914650\pi\)
\(828\) 11.1252 11.8494i 0.386626 0.411796i
\(829\) −11.3449 −0.394024 −0.197012 0.980401i \(-0.563124\pi\)
−0.197012 + 0.980401i \(0.563124\pi\)
\(830\) 5.10326 + 5.69332i 0.177137 + 0.197618i
\(831\) 9.55035 1.37313i 0.331298 0.0476335i
\(832\) 31.0945 14.1872i 1.07801 0.491853i
\(833\) 12.9872 + 3.81340i 0.449981 + 0.132126i
\(834\) −8.08834 + 5.75897i −0.280076 + 0.199417i
\(835\) 11.8582 23.9861i 0.410369 0.830073i
\(836\) −3.14723 + 1.25953i −0.108849 + 0.0435619i
\(837\) −10.5328 35.8714i −0.364067 1.23990i
\(838\) −5.26980 + 1.01535i −0.182042 + 0.0350747i
\(839\) −38.6544 + 24.8417i −1.33450 + 0.857629i −0.996506 0.0835204i \(-0.973384\pi\)
−0.337991 + 0.941149i \(0.609747\pi\)
\(840\) −16.2130 14.9507i −0.559402 0.515847i
\(841\) 17.3211 + 19.9897i 0.597280 + 0.689298i
\(842\) 41.6397 + 10.1043i 1.43500 + 0.348216i
\(843\) −2.81934 0.405360i −0.0971033 0.0139614i
\(844\) −2.56242 + 13.2868i −0.0882023 + 0.457349i
\(845\) −2.02791 + 11.5681i −0.0697623 + 0.397953i
\(846\) −15.4403 + 14.7205i −0.530847 + 0.506103i
\(847\) −30.1811 + 13.7832i −1.03703 + 0.473597i
\(848\) 32.9096 + 13.1840i 1.13012 + 0.452739i
\(849\) 0.241777 0.376212i 0.00829775 0.0129116i
\(850\) −0.576364 + 41.3490i −0.0197691 + 1.41826i
\(851\) 48.9737 + 6.65035i 1.67880 + 0.227971i
\(852\) 14.2012 8.19685i 0.486525 0.280819i
\(853\) −17.0593 + 26.5448i −0.584100 + 0.908877i −1.00000 0.000533013i \(-0.999830\pi\)
0.415900 + 0.909410i \(0.363467\pi\)
\(854\) −13.2578 5.30852i −0.453672 0.181654i
\(855\) −11.3110 13.8945i −0.386829 0.475182i
\(856\) −10.2850 + 35.0046i −0.351533 + 1.19643i
\(857\) 26.0275 + 11.8863i 0.889081 + 0.406030i 0.806969 0.590593i \(-0.201106\pi\)
0.0821117 + 0.996623i \(0.473834\pi\)
\(858\) 2.33853 0.809219i 0.0798360 0.0276263i
\(859\) −36.7431 5.28286i −1.25366 0.180249i −0.516688 0.856174i \(-0.672835\pi\)
−0.736971 + 0.675925i \(0.763745\pi\)
\(860\) −13.6167 + 24.5240i −0.464324 + 0.836262i
\(861\) −26.1075 + 22.6223i −0.889741 + 0.770965i
\(862\) −2.15669 45.3303i −0.0734573 1.54396i
\(863\) 5.35715 3.44283i 0.182359 0.117195i −0.446276 0.894895i \(-0.647250\pi\)
0.628636 + 0.777700i \(0.283614\pi\)
\(864\) 9.93239 28.6706i 0.337907 0.975395i
\(865\) −2.29484 3.82439i −0.0780268 0.130033i
\(866\) 16.7262 + 13.1552i 0.568380 + 0.447032i
\(867\) −12.8705 + 14.8533i −0.437104 + 0.504445i
\(868\) 42.3522 4.03915i 1.43753 0.137098i
\(869\) −0.662956 0.194662i −0.0224893 0.00660344i
\(870\) −5.69622 + 0.916923i −0.193120 + 0.0310866i
\(871\) −5.59295 38.8998i −0.189510 1.31807i
\(872\) 9.09639 14.1488i 0.308042 0.479139i
\(873\) −15.0638 −0.509832
\(874\) −14.9161 28.3893i −0.504545 0.960281i
\(875\) −23.6204 24.6249i −0.798514 0.832475i
\(876\) −15.5784 0.743914i −0.526344 0.0251345i
\(877\) 28.1826 4.05205i 0.951659 0.136828i 0.351037 0.936361i \(-0.385829\pi\)
0.600621 + 0.799534i \(0.294920\pi\)
\(878\) −2.38553 + 24.9670i −0.0805078 + 0.842595i
\(879\) −24.2833 7.13021i −0.819055 0.240496i
\(880\) −2.45767 2.05905i −0.0828480 0.0694105i
\(881\) 30.8190 + 26.7048i 1.03832 + 0.899708i 0.995052 0.0993553i \(-0.0316780\pi\)
0.0432667 + 0.999064i \(0.486223\pi\)
\(882\) −4.35967 3.42890i −0.146798 0.115457i
\(883\) −42.6751 + 12.5305i −1.43613 + 0.421686i −0.904930 0.425560i \(-0.860077\pi\)
−0.531201 + 0.847246i \(0.678259\pi\)
\(884\) 47.2199 + 16.3492i 1.58818 + 0.549882i
\(885\) 7.96761 + 7.34467i 0.267828 + 0.246888i
\(886\) 1.05825 + 22.2427i 0.0355525 + 0.747258i
\(887\) −14.5197 16.7566i −0.487524 0.562633i 0.457678 0.889118i \(-0.348681\pi\)
−0.945202 + 0.326485i \(0.894136\pi\)
\(888\) 31.9563 9.37712i 1.07238 0.314676i
\(889\) −47.4966 6.82897i −1.59298 0.229036i
\(890\) 2.65735 1.77156i 0.0890746 0.0593828i
\(891\) 0.155591 0.340697i 0.00521250 0.0114138i
\(892\) 12.7921 + 52.7567i 0.428311 + 1.76643i
\(893\) 17.4854 + 38.2876i 0.585126 + 1.28125i
\(894\) −8.68125 + 21.6810i −0.290345 + 0.725123i
\(895\) −5.29045 + 16.1624i −0.176840 + 0.540249i
\(896\) 29.8959 + 17.2767i 0.998753 + 0.577175i
\(897\) 9.89135 + 21.2177i 0.330263 + 0.708440i
\(898\) 1.33707 2.31555i 0.0446185 0.0772710i
\(899\) 6.01732 9.36313i 0.200689 0.312278i
\(900\) 6.51757 15.6420i 0.217252 0.521399i
\(901\) 21.5322 + 47.1489i 0.717341 + 1.57076i
\(902\) −3.63491 + 3.46547i −0.121029 + 0.115388i
\(903\) 9.08595 19.8954i 0.302361 0.662079i
\(904\) 17.7666 20.4965i 0.590907 0.681702i
\(905\) −33.7599 + 3.79905i −1.12222 + 0.126285i
\(906\) 23.1012 + 5.60572i 0.767485 + 0.186237i
\(907\) 22.6511 19.6273i 0.752119 0.651714i −0.191972 0.981400i \(-0.561488\pi\)
0.944091 + 0.329686i \(0.106943\pi\)
\(908\) 0.930903 1.80518i 0.0308931 0.0599070i
\(909\) −15.4121 + 9.90473i −0.511186 + 0.328519i
\(910\) −37.2132 + 17.7562i −1.23360 + 0.588614i
\(911\) −39.2902 + 11.5367i −1.30174 + 0.382226i −0.857872 0.513864i \(-0.828214\pi\)
−0.443872 + 0.896090i \(0.646396\pi\)
\(912\) −16.9833 13.3623i −0.562374 0.442469i
\(913\) −0.655004 0.567565i −0.0216775 0.0187836i
\(914\) 7.95515 + 11.1728i 0.263133 + 0.369564i
\(915\) −0.259815 + 8.44942i −0.00858922 + 0.279329i
\(916\) −35.1604 25.0438i −1.16173 0.827471i
\(917\) 0.218602 + 1.52041i 0.00721887 + 0.0502083i
\(918\) 39.4317 20.3256i 1.30144 0.670843i
\(919\) −13.9793 −0.461134 −0.230567 0.973056i \(-0.574058\pi\)
−0.230567 + 0.973056i \(0.574058\pi\)
\(920\) 16.9831 25.1312i 0.559915 0.828550i
\(921\) −19.0393 −0.627366
\(922\) 7.83156 4.03687i 0.257919 0.132947i
\(923\) −4.36278 30.3438i −0.143603 0.998778i
\(924\) 2.03626 + 1.45037i 0.0669879 + 0.0477137i
\(925\) 50.2385 11.4518i 1.65183 0.376534i
\(926\) −18.8809 26.5178i −0.620465 0.871429i
\(927\) −21.2530 18.4158i −0.698039 0.604854i
\(928\) 8.38701 3.35481i 0.275317 0.110127i
\(929\) −49.6920 + 14.5909i −1.63034 + 0.478712i −0.963771 0.266730i \(-0.914057\pi\)
−0.666571 + 0.745442i \(0.732239\pi\)
\(930\) −10.8449 22.7286i −0.355619 0.745299i
\(931\) −9.20640 + 5.91659i −0.301728 + 0.193909i
\(932\) −9.21950 + 17.8782i −0.301995 + 0.585620i
\(933\) −16.2589 + 14.0884i −0.532291 + 0.461233i
\(934\) −17.7914 4.31724i −0.582152 0.141265i
\(935\) −0.524199 4.65825i −0.0171431 0.152341i
\(936\) −15.4728 13.4120i −0.505745 0.438386i
\(937\) 17.0296 37.2896i 0.556332 1.21820i −0.397429 0.917633i \(-0.630097\pi\)
0.953761 0.300565i \(-0.0971753\pi\)
\(938\) 28.7362 27.3967i 0.938271 0.894535i
\(939\) −3.01485 6.60161i −0.0983860 0.215435i
\(940\) −24.0818 + 31.7008i −0.785463 + 1.03397i
\(941\) 2.94595 4.58398i 0.0960351 0.149434i −0.789911 0.613221i \(-0.789874\pi\)
0.885947 + 0.463787i \(0.153510\pi\)
\(942\) −3.93663 + 6.81752i −0.128262 + 0.222127i
\(943\) −36.1487 30.8308i −1.17717 1.00399i
\(944\) −14.6910 8.48642i −0.478151 0.276209i
\(945\) −11.3874 + 34.7885i −0.370431 + 1.13167i
\(946\) 1.18196 2.95190i 0.0384289 0.0959745i
\(947\) 9.07405 + 19.8694i 0.294867 + 0.645668i 0.997850 0.0655381i \(-0.0208764\pi\)
−0.702983 + 0.711206i \(0.748149\pi\)
\(948\) −1.03792 4.28055i −0.0337101 0.139026i
\(949\) −12.1129 + 26.5235i −0.393200 + 0.860988i
\(950\) −24.9605 22.2450i −0.809827 0.721724i
\(951\) −12.1728 1.75018i −0.394730 0.0567536i
\(952\) 14.2143 + 48.4407i 0.460687 + 1.56997i
\(953\) −0.326816 0.377166i −0.0105866 0.0122176i 0.750432 0.660948i \(-0.229846\pi\)
−0.761018 + 0.648731i \(0.775300\pi\)
\(954\) −1.00940 21.2159i −0.0326804 0.686890i
\(955\) −5.10610 + 5.53917i −0.165229 + 0.179243i
\(956\) 36.9513 + 12.7938i 1.19509 + 0.413781i
\(957\) 0.627525 0.184258i 0.0202850 0.00595621i
\(958\) −5.75114 4.52329i −0.185811 0.146141i
\(959\) 32.4417 + 28.1109i 1.04760 + 0.907748i
\(960\) 3.53622 20.1306i 0.114131 0.649711i
\(961\) 16.8688 + 4.95312i 0.544154 + 0.159778i
\(962\) 5.92224 61.9822i 0.190941 1.99839i
\(963\) 21.6358 3.11075i 0.697203 0.100243i
\(964\) −41.5771 1.98543i −1.33911 0.0639465i
\(965\) −7.83006 30.0549i −0.252058 0.967503i
\(966\) −11.6656 + 20.5731i −0.375336 + 0.661930i
\(967\) 5.07289 0.163133 0.0815665 0.996668i \(-0.474008\pi\)
0.0815665 + 0.996668i \(0.474008\pi\)
\(968\) −25.8650 16.6288i −0.831333 0.534471i
\(969\) −4.49638 31.2730i −0.144445 1.00463i
\(970\) −27.7540 + 4.46757i −0.891126 + 0.143445i
\(971\) 19.2515 + 5.65275i 0.617810 + 0.181405i 0.575637 0.817705i \(-0.304754\pi\)
0.0421723 + 0.999110i \(0.486572\pi\)
\(972\) −29.6607 + 2.82876i −0.951368 + 0.0907324i
\(973\) −12.2813 + 14.1733i −0.393719 + 0.454376i
\(974\) 22.4492 + 17.6564i 0.719318 + 0.565746i
\(975\) 17.4285 + 17.0861i 0.558158 + 0.547192i
\(976\) −2.50172 12.9965i −0.0800781 0.416008i
\(977\) −1.31959 + 0.848047i −0.0422173 + 0.0271314i −0.561579 0.827423i \(-0.689806\pi\)
0.519362 + 0.854554i \(0.326170\pi\)
\(978\) −1.62017 34.0535i −0.0518074 1.08891i
\(979\) −0.273605 + 0.237080i −0.00874446 + 0.00757712i
\(980\) −9.04931 5.02452i −0.289070 0.160502i
\(981\) −9.97488 1.43417i −0.318473 0.0457896i
\(982\) 10.4831 3.62755i 0.334529 0.115760i
\(983\) 35.2746 + 16.1094i 1.12509 + 0.513809i 0.888993 0.457921i \(-0.151406\pi\)
0.236092 + 0.971731i \(0.424133\pi\)
\(984\) −30.7165 9.02504i −0.979208 0.287708i
\(985\) −8.50698 + 6.92523i −0.271055 + 0.220656i
\(986\) 12.2605 + 4.90920i 0.390454 + 0.156341i
\(987\) 16.7823 26.1137i 0.534185 0.831209i
\(988\) −34.9912 + 20.1967i −1.11322 + 0.642544i
\(989\) 28.9280 + 8.24853i 0.919857 + 0.262288i
\(990\) −0.510135 + 1.85191i −0.0162132 + 0.0588576i
\(991\) 24.0243 37.3825i 0.763157 1.18749i −0.214384 0.976749i \(-0.568775\pi\)
0.977541 0.210745i \(-0.0675891\pi\)
\(992\) 24.3639 + 30.9998i 0.773554 + 0.984246i
\(993\) −23.4271 + 10.6988i −0.743437 + 0.339516i
\(994\) 22.4157 21.3708i 0.710982 0.677841i
\(995\) −6.23711 + 35.5791i −0.197730 + 1.12793i
\(996\) 1.04624 5.42499i 0.0331513 0.171897i
\(997\) 42.3650 + 6.09117i 1.34171 + 0.192909i 0.775499 0.631348i \(-0.217498\pi\)
0.566215 + 0.824258i \(0.308407\pi\)
\(998\) 18.8061 + 4.56348i 0.595297 + 0.144454i
\(999\) −36.1984 41.7752i −1.14527 1.32171i
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 460.2.o.b.159.11 640
4.3 odd 2 inner 460.2.o.b.159.31 yes 640
5.4 even 2 inner 460.2.o.b.159.54 yes 640
20.19 odd 2 inner 460.2.o.b.159.34 yes 640
23.11 odd 22 inner 460.2.o.b.379.34 yes 640
92.11 even 22 inner 460.2.o.b.379.54 yes 640
115.34 odd 22 inner 460.2.o.b.379.31 yes 640
460.379 even 22 inner 460.2.o.b.379.11 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
460.2.o.b.159.11 640 1.1 even 1 trivial
460.2.o.b.159.31 yes 640 4.3 odd 2 inner
460.2.o.b.159.34 yes 640 20.19 odd 2 inner
460.2.o.b.159.54 yes 640 5.4 even 2 inner
460.2.o.b.379.11 yes 640 460.379 even 22 inner
460.2.o.b.379.31 yes 640 115.34 odd 22 inner
460.2.o.b.379.34 yes 640 23.11 odd 22 inner
460.2.o.b.379.54 yes 640 92.11 even 22 inner