Properties

Label 770.2.bv.a.3.8
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
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] = [770,2,Mod(3,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([45, 10, 48]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.8
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(-1.35519 + 0.880069i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-1.14900 - 1.91828i) q^{5} +(0.949788 - 1.30727i) q^{6} +(1.70475 + 2.02332i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.158198 + 0.355318i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(-1.35519 + 0.880069i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-1.14900 - 1.91828i) q^{5} +(0.949788 - 1.30727i) q^{6} +(1.70475 + 2.02332i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.158198 + 0.355318i) q^{9} +(1.76013 + 1.37911i) q^{10} +(-1.96617 - 2.67099i) q^{11} +(-0.418220 + 1.56082i) q^{12} +(0.324475 - 2.04865i) q^{13} +(-2.31662 - 1.27800i) q^{14} +(3.24533 + 1.58844i) q^{15} +(0.104528 - 0.994522i) q^{16} +(6.23017 + 2.39154i) q^{17} +(0.0203558 - 0.388411i) q^{18} +(-4.16129 + 4.62158i) q^{19} +(-2.13745 - 0.656734i) q^{20} +(-4.09092 - 1.24168i) q^{21} +(2.79277 + 1.78897i) q^{22} +(0.600743 - 2.24200i) q^{23} +(-0.168905 - 1.60702i) q^{24} +(-2.35962 + 4.40820i) q^{25} +(0.431249 + 2.02886i) q^{26} +(-0.856653 - 5.40869i) q^{27} +(2.62074 + 0.362916i) q^{28} +(2.16520 + 0.703515i) q^{29} +(-3.59902 - 0.319913i) q^{30} +(-9.73982 + 1.02370i) q^{31} +(0.258819 + 0.965926i) q^{32} +(5.01518 + 1.88933i) q^{33} -6.67342 q^{34} +(1.92254 - 5.59498i) q^{35} +(0.120190 + 0.369908i) q^{36} +(-3.75683 + 5.78500i) q^{37} +(2.22867 - 5.80589i) q^{38} +(1.36323 + 3.06187i) q^{39} +(2.23084 - 0.152880i) q^{40} +(-0.876606 + 0.284826i) q^{41} +(4.26418 - 0.306851i) q^{42} +(-3.81577 - 3.81577i) q^{43} +(-3.24839 - 0.669312i) q^{44} +(0.863369 - 0.104791i) q^{45} +(0.242620 + 2.30838i) q^{46} +(-5.45416 + 0.285841i) q^{47} +(0.733592 + 1.43976i) q^{48} +(-1.18763 + 6.89852i) q^{49} +(0.623137 - 4.96102i) q^{50} +(-10.5478 + 2.24200i) q^{51} +(-1.12969 - 1.73956i) q^{52} +(1.39419 - 1.72168i) q^{53} +(2.73806 + 4.74245i) q^{54} +(-2.86460 + 6.84062i) q^{55} +(-2.57673 + 0.600379i) q^{56} +(1.57202 - 9.92533i) q^{57} +(-2.27350 + 0.119149i) q^{58} +(-6.73738 - 7.48262i) q^{59} +(3.47462 - 0.991108i) q^{60} +(-14.4895 - 1.52291i) q^{61} +(8.72605 - 4.44614i) q^{62} +(-0.988609 + 0.285645i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-4.30272 + 1.73146i) q^{65} +(-5.35915 + 0.0334354i) q^{66} +(-0.519461 - 1.93865i) q^{67} +(6.23017 - 2.39154i) q^{68} +(1.15900 + 3.56703i) q^{69} +(0.210214 + 5.91234i) q^{70} +(0.480899 + 0.349394i) q^{71} +(-0.244770 - 0.302266i) q^{72} +(-0.866575 - 0.0454153i) q^{73} +(1.43414 - 6.74709i) q^{74} +(-0.681793 - 8.05056i) q^{75} +6.21895i q^{76} +(2.05244 - 8.53156i) q^{77} +(-2.36996 - 2.36996i) q^{78} +(1.84363 - 4.14085i) q^{79} +(-2.02788 + 0.942186i) q^{80} +(5.14019 + 5.70876i) q^{81} +(0.716309 - 0.580056i) q^{82} +(-14.7089 + 2.32966i) q^{83} +(-3.87099 + 1.81462i) q^{84} +(-2.57079 - 14.6991i) q^{85} +(4.92978 + 2.19488i) q^{86} +(-3.55339 + 0.952128i) q^{87} +(3.27249 - 0.539261i) q^{88} +(-5.20324 - 9.01227i) q^{89} +(-0.768471 + 0.407234i) q^{90} +(4.69823 - 2.83593i) q^{91} +(-1.05375 - 2.06811i) q^{92} +(12.2984 - 9.95902i) q^{93} +(4.98946 - 2.22145i) q^{94} +(13.6468 + 2.67235i) q^{95} +(-1.20083 - 1.08123i) q^{96} +(-4.57366 - 0.724397i) q^{97} +(-1.36346 - 6.86593i) q^{98} +(1.26009 - 0.276069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) −1.35519 + 0.880069i −0.782418 + 0.508108i −0.872964 0.487784i \(-0.837805\pi\)
0.0905463 + 0.995892i \(0.471139\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) −1.14900 1.91828i −0.513846 0.857882i
\(6\) 0.949788 1.30727i 0.387749 0.533691i
\(7\) 1.70475 + 2.02332i 0.644336 + 0.764742i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) −0.158198 + 0.355318i −0.0527326 + 0.118439i
\(10\) 1.76013 + 1.37911i 0.556602 + 0.436112i
\(11\) −1.96617 2.67099i −0.592821 0.805334i
\(12\) −0.418220 + 1.56082i −0.120730 + 0.450569i
\(13\) 0.324475 2.04865i 0.0899932 0.568194i −0.900951 0.433921i \(-0.857130\pi\)
0.990944 0.134274i \(-0.0428702\pi\)
\(14\) −2.31662 1.27800i −0.619142 0.341560i
\(15\) 3.24533 + 1.58844i 0.837940 + 0.410133i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) 6.23017 + 2.39154i 1.51104 + 0.580033i 0.966038 0.258402i \(-0.0831959\pi\)
0.545001 + 0.838435i \(0.316529\pi\)
\(18\) 0.0203558 0.388411i 0.00479790 0.0915493i
\(19\) −4.16129 + 4.62158i −0.954665 + 1.06026i 0.0434603 + 0.999055i \(0.486162\pi\)
−0.998125 + 0.0612075i \(0.980505\pi\)
\(20\) −2.13745 0.656734i −0.477949 0.146850i
\(21\) −4.09092 1.24168i −0.892712 0.270956i
\(22\) 2.79277 + 1.78897i 0.595421 + 0.381411i
\(23\) 0.600743 2.24200i 0.125264 0.467490i −0.874585 0.484872i \(-0.838866\pi\)
0.999849 + 0.0173814i \(0.00553296\pi\)
\(24\) −0.168905 1.60702i −0.0344776 0.328032i
\(25\) −2.35962 + 4.40820i −0.471924 + 0.881639i
\(26\) 0.431249 + 2.02886i 0.0845748 + 0.397893i
\(27\) −0.856653 5.40869i −0.164863 1.04090i
\(28\) 2.62074 + 0.362916i 0.495274 + 0.0685847i
\(29\) 2.16520 + 0.703515i 0.402067 + 0.130639i 0.503068 0.864247i \(-0.332205\pi\)
−0.101001 + 0.994886i \(0.532205\pi\)
\(30\) −3.59902 0.319913i −0.657088 0.0584079i
\(31\) −9.73982 + 1.02370i −1.74932 + 0.183861i −0.924411 0.381398i \(-0.875443\pi\)
−0.824913 + 0.565260i \(0.808776\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 5.01518 + 1.88933i 0.873031 + 0.328891i
\(34\) −6.67342 −1.14448
\(35\) 1.92254 5.59498i 0.324969 0.945725i
\(36\) 0.120190 + 0.369908i 0.0200317 + 0.0616513i
\(37\) −3.75683 + 5.78500i −0.617618 + 0.951049i 0.382020 + 0.924154i \(0.375229\pi\)
−0.999638 + 0.0268948i \(0.991438\pi\)
\(38\) 2.22867 5.80589i 0.361538 0.941839i
\(39\) 1.36323 + 3.06187i 0.218292 + 0.490292i
\(40\) 2.23084 0.152880i 0.352726 0.0241725i
\(41\) −0.876606 + 0.284826i −0.136903 + 0.0444824i −0.376667 0.926349i \(-0.622930\pi\)
0.239764 + 0.970831i \(0.422930\pi\)
\(42\) 4.26418 0.306851i 0.657977 0.0473482i
\(43\) −3.81577 3.81577i −0.581899 0.581899i 0.353525 0.935425i \(-0.384983\pi\)
−0.935425 + 0.353525i \(0.884983\pi\)
\(44\) −3.24839 0.669312i −0.489713 0.100903i
\(45\) 0.863369 0.104791i 0.128703 0.0156213i
\(46\) 0.242620 + 2.30838i 0.0357724 + 0.340352i
\(47\) −5.45416 + 0.285841i −0.795571 + 0.0416941i −0.445790 0.895137i \(-0.647077\pi\)
−0.349781 + 0.936832i \(0.613744\pi\)
\(48\) 0.733592 + 1.43976i 0.105885 + 0.207811i
\(49\) −1.18763 + 6.89852i −0.169662 + 0.985502i
\(50\) 0.623137 4.96102i 0.0881249 0.701594i
\(51\) −10.5478 + 2.24200i −1.47698 + 0.313943i
\(52\) −1.12969 1.73956i −0.156659 0.241234i
\(53\) 1.39419 1.72168i 0.191507 0.236491i −0.672344 0.740239i \(-0.734713\pi\)
0.863851 + 0.503748i \(0.168046\pi\)
\(54\) 2.73806 + 4.74245i 0.372602 + 0.645366i
\(55\) −2.86460 + 6.84062i −0.386263 + 0.922389i
\(56\) −2.57673 + 0.600379i −0.344330 + 0.0802290i
\(57\) 1.57202 9.92533i 0.208219 1.31464i
\(58\) −2.27350 + 0.119149i −0.298526 + 0.0156451i
\(59\) −6.73738 7.48262i −0.877132 0.974154i 0.122701 0.992444i \(-0.460844\pi\)
−0.999833 + 0.0182899i \(0.994178\pi\)
\(60\) 3.47462 0.991108i 0.448572 0.127951i
\(61\) −14.4895 1.52291i −1.85519 0.194988i −0.889897 0.456162i \(-0.849224\pi\)
−0.965292 + 0.261174i \(0.915890\pi\)
\(62\) 8.72605 4.44614i 1.10821 0.564661i
\(63\) −0.988609 + 0.285645i −0.124553 + 0.0359879i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −4.30272 + 1.73146i −0.533687 + 0.214761i
\(66\) −5.35915 + 0.0334354i −0.659666 + 0.00411562i
\(67\) −0.519461 1.93865i −0.0634623 0.236844i 0.926908 0.375289i \(-0.122456\pi\)
−0.990370 + 0.138444i \(0.955790\pi\)
\(68\) 6.23017 2.39154i 0.755519 0.290017i
\(69\) 1.15900 + 3.56703i 0.139527 + 0.429420i
\(70\) 0.210214 + 5.91234i 0.0251254 + 0.706660i
\(71\) 0.480899 + 0.349394i 0.0570722 + 0.0414654i 0.615956 0.787781i \(-0.288770\pi\)
−0.558883 + 0.829246i \(0.688770\pi\)
\(72\) −0.244770 0.302266i −0.0288465 0.0356224i
\(73\) −0.866575 0.0454153i −0.101425 0.00531545i 0.00155598 0.999999i \(-0.499505\pi\)
−0.102981 + 0.994683i \(0.532838\pi\)
\(74\) 1.43414 6.74709i 0.166715 0.784334i
\(75\) −0.681793 8.05056i −0.0787267 0.929599i
\(76\) 6.21895i 0.713362i
\(77\) 2.05244 8.53156i 0.233897 0.972261i
\(78\) −2.36996 2.36996i −0.268346 0.268346i
\(79\) 1.84363 4.14085i 0.207424 0.465882i −0.779636 0.626233i \(-0.784596\pi\)
0.987060 + 0.160351i \(0.0512625\pi\)
\(80\) −2.02788 + 0.942186i −0.226724 + 0.105340i
\(81\) 5.14019 + 5.70876i 0.571132 + 0.634306i
\(82\) 0.716309 0.580056i 0.0791031 0.0640564i
\(83\) −14.7089 + 2.32966i −1.61451 + 0.255713i −0.897391 0.441236i \(-0.854540\pi\)
−0.717120 + 0.696950i \(0.754540\pi\)
\(84\) −3.87099 + 1.81462i −0.422360 + 0.197991i
\(85\) −2.57079 14.6991i −0.278842 1.59434i
\(86\) 4.92978 + 2.19488i 0.531592 + 0.236680i
\(87\) −3.55339 + 0.952128i −0.380964 + 0.102079i
\(88\) 3.27249 0.539261i 0.348849 0.0574855i
\(89\) −5.20324 9.01227i −0.551542 0.955299i −0.998164 0.0605759i \(-0.980706\pi\)
0.446622 0.894723i \(-0.352627\pi\)
\(90\) −0.768471 + 0.407234i −0.0810039 + 0.0429263i
\(91\) 4.69823 2.83593i 0.492508 0.297287i
\(92\) −1.05375 2.06811i −0.109862 0.215615i
\(93\) 12.2984 9.95902i 1.27528 1.03270i
\(94\) 4.98946 2.22145i 0.514624 0.229125i
\(95\) 13.6468 + 2.67235i 1.40013 + 0.274178i
\(96\) −1.20083 1.08123i −0.122559 0.110353i
\(97\) −4.57366 0.724397i −0.464385 0.0735513i −0.0801421 0.996783i \(-0.525537\pi\)
−0.384243 + 0.923232i \(0.625537\pi\)
\(98\) −1.36346 6.86593i −0.137730 0.693564i
\(99\) 1.26009 0.276069i 0.126644 0.0277460i
\(100\) 1.19612 + 4.85482i 0.119612 + 0.485482i
\(101\) 9.14087 0.960745i 0.909551 0.0955977i 0.361816 0.932250i \(-0.382157\pi\)
0.547735 + 0.836652i \(0.315490\pi\)
\(102\) 9.04373 5.87307i 0.895463 0.581521i
\(103\) −4.68728 + 7.21778i −0.461852 + 0.711189i −0.990479 0.137665i \(-0.956040\pi\)
0.528627 + 0.848854i \(0.322707\pi\)
\(104\) 1.67806 + 1.21918i 0.164547 + 0.119550i
\(105\) 2.31857 + 9.27422i 0.226269 + 0.905072i
\(106\) −0.684592 + 2.10696i −0.0664935 + 0.204646i
\(107\) 0.718231 + 13.7047i 0.0694340 + 1.32488i 0.782002 + 0.623276i \(0.214199\pi\)
−0.712568 + 0.701603i \(0.752468\pi\)
\(108\) −4.25574 3.44623i −0.409509 0.331614i
\(109\) 0.570002 + 0.329091i 0.0545963 + 0.0315212i 0.527050 0.849834i \(-0.323298\pi\)
−0.472453 + 0.881356i \(0.656632\pi\)
\(110\) 0.222878 7.41285i 0.0212505 0.706787i
\(111\) 11.1460i 1.05793i
\(112\) 2.19043 1.48392i 0.206976 0.140217i
\(113\) −2.00417 + 3.93340i −0.188536 + 0.370024i −0.965855 0.259084i \(-0.916579\pi\)
0.777318 + 0.629107i \(0.216579\pi\)
\(114\) 2.08931 + 9.82945i 0.195682 + 0.920613i
\(115\) −4.99105 + 1.42366i −0.465418 + 0.132757i
\(116\) 2.07980 0.925986i 0.193104 0.0859756i
\(117\) 0.676592 + 0.439384i 0.0625510 + 0.0406211i
\(118\) 8.97142 + 4.57116i 0.825886 + 0.420810i
\(119\) 5.78206 + 16.6826i 0.530041 + 1.52929i
\(120\) −2.88866 + 2.17047i −0.263697 + 0.198136i
\(121\) −3.26839 + 10.5032i −0.297126 + 0.954838i
\(122\) 14.0729 3.77081i 1.27410 0.341393i
\(123\) 0.937298 1.15747i 0.0845133 0.104365i
\(124\) −6.55311 + 7.27797i −0.588487 + 0.653581i
\(125\) 11.1674 0.538584i 0.998839 0.0481724i
\(126\) 0.820580 0.620959i 0.0731031 0.0553194i
\(127\) 21.4381 3.39546i 1.90232 0.301299i 0.909014 0.416767i \(-0.136837\pi\)
0.993311 + 0.115468i \(0.0368367\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) 8.52923 + 1.81294i 0.750957 + 0.159621i
\(130\) 3.39643 3.15841i 0.297887 0.277011i
\(131\) −19.4359 + 11.2213i −1.69812 + 0.980409i −0.750573 + 0.660788i \(0.770222\pi\)
−0.947545 + 0.319621i \(0.896444\pi\)
\(132\) 4.99122 1.95176i 0.434430 0.169879i
\(133\) −16.4449 0.540959i −1.42595 0.0469071i
\(134\) 1.17971 + 1.62373i 0.101911 + 0.140269i
\(135\) −9.39111 + 7.85787i −0.808258 + 0.676298i
\(136\) −4.95932 + 4.46539i −0.425258 + 0.382904i
\(137\) −3.65731 + 9.52762i −0.312465 + 0.814000i 0.683960 + 0.729519i \(0.260256\pi\)
−0.996425 + 0.0844800i \(0.973077\pi\)
\(138\) −2.36033 2.91476i −0.200925 0.248121i
\(139\) −0.884426 + 2.72198i −0.0750160 + 0.230876i −0.981533 0.191294i \(-0.938731\pi\)
0.906517 + 0.422170i \(0.138731\pi\)
\(140\) −2.31505 5.44431i −0.195657 0.460129i
\(141\) 7.13986 5.18741i 0.601284 0.436859i
\(142\) −0.574170 0.153848i −0.0481832 0.0129107i
\(143\) −6.10991 + 3.16132i −0.510936 + 0.264363i
\(144\) 0.336835 + 0.194472i 0.0280696 + 0.0162060i
\(145\) −1.13826 4.96180i −0.0945274 0.412055i
\(146\) 0.825293 0.268154i 0.0683017 0.0221926i
\(147\) −4.46171 10.3940i −0.367995 0.857281i
\(148\) 1.07906 + 6.81290i 0.0886980 + 0.560017i
\(149\) −4.21365 0.442872i −0.345196 0.0362815i −0.0696556 0.997571i \(-0.522190\pi\)
−0.275540 + 0.961290i \(0.588857\pi\)
\(150\) 3.52157 + 7.27152i 0.287535 + 0.593717i
\(151\) −10.6701 2.26799i −0.868318 0.184567i −0.247850 0.968798i \(-0.579724\pi\)
−0.620468 + 0.784232i \(0.713057\pi\)
\(152\) −2.22867 5.80589i −0.180769 0.470920i
\(153\) −1.83536 + 1.83536i −0.148380 + 0.148380i
\(154\) 1.14132 + 8.70042i 0.0919702 + 0.701100i
\(155\) 13.1548 + 17.5075i 1.05662 + 1.40624i
\(156\) 3.06187 + 1.36323i 0.245146 + 0.109146i
\(157\) 4.71046 + 7.25347i 0.375936 + 0.578890i 0.975108 0.221730i \(-0.0711703\pi\)
−0.599173 + 0.800620i \(0.704504\pi\)
\(158\) −0.237225 + 4.52652i −0.0188726 + 0.360110i
\(159\) −0.374190 + 3.56018i −0.0296752 + 0.282341i
\(160\) 1.55554 1.60633i 0.122976 0.126992i
\(161\) 5.56041 2.60657i 0.438222 0.205426i
\(162\) −6.84461 3.48751i −0.537764 0.274004i
\(163\) 5.88186 + 15.3228i 0.460703 + 1.20017i 0.945522 + 0.325557i \(0.105552\pi\)
−0.484820 + 0.874614i \(0.661115\pi\)
\(164\) −0.460859 + 0.798231i −0.0359870 + 0.0623314i
\(165\) −2.13814 11.7914i −0.166454 0.917957i
\(166\) 12.8971 7.44612i 1.00101 0.577931i
\(167\) 9.98498 + 1.58147i 0.772661 + 0.122377i 0.530302 0.847809i \(-0.322079\pi\)
0.242359 + 0.970187i \(0.422079\pi\)
\(168\) 2.96358 3.08133i 0.228645 0.237730i
\(169\) 8.27203 + 2.68775i 0.636310 + 0.206750i
\(170\) 7.66773 + 12.8015i 0.588088 + 0.981830i
\(171\) −0.983823 2.20970i −0.0752348 0.168980i
\(172\) −5.38892 0.282421i −0.410901 0.0215344i
\(173\) −0.201597 3.84671i −0.0153272 0.292460i −0.995529 0.0944581i \(-0.969888\pi\)
0.980202 0.198002i \(-0.0634452\pi\)
\(174\) 2.97616 2.16231i 0.225622 0.163924i
\(175\) −12.9418 + 2.74063i −0.978305 + 0.207172i
\(176\) −2.86188 + 1.67620i −0.215722 + 0.126348i
\(177\) 15.7156 + 4.21099i 1.18126 + 0.316518i
\(178\) 8.08735 + 6.54901i 0.606173 + 0.490869i
\(179\) 1.44572 6.80159i 0.108058 0.508375i −0.890514 0.454956i \(-0.849655\pi\)
0.998572 0.0534187i \(-0.0170118\pi\)
\(180\) 0.571489 0.655581i 0.0425963 0.0488641i
\(181\) 13.0833 18.0077i 0.972477 1.33850i 0.0316916 0.999498i \(-0.489911\pi\)
0.940786 0.339002i \(-0.110089\pi\)
\(182\) −3.36987 + 4.33127i −0.249791 + 0.321055i
\(183\) 20.9762 10.6879i 1.55061 0.790074i
\(184\) 1.72491 + 1.55312i 0.127162 + 0.114497i
\(185\) 15.4139 + 0.559710i 1.13325 + 0.0411507i
\(186\) −7.91252 + 13.7049i −0.580174 + 1.00489i
\(187\) −5.86177 21.3429i −0.428655 1.56075i
\(188\) −3.86197 + 3.86197i −0.281663 + 0.281663i
\(189\) 9.48313 10.9538i 0.689796 0.796770i
\(190\) −13.6981 + 2.39572i −0.993762 + 0.173804i
\(191\) −1.18243 + 0.251334i −0.0855578 + 0.0181859i −0.250492 0.968119i \(-0.580592\pi\)
0.164934 + 0.986305i \(0.447259\pi\)
\(192\) 1.50855 + 0.579078i 0.108870 + 0.0417914i
\(193\) 21.4356 + 8.22836i 1.54297 + 0.592290i 0.973290 0.229577i \(-0.0737344\pi\)
0.569678 + 0.821868i \(0.307068\pi\)
\(194\) 4.52948 0.962771i 0.325198 0.0691229i
\(195\) 4.30719 6.13314i 0.308444 0.439204i
\(196\) 3.73342 + 5.92128i 0.266673 + 0.422948i
\(197\) 0.872438 0.872438i 0.0621586 0.0621586i −0.675344 0.737503i \(-0.736005\pi\)
0.737503 + 0.675344i \(0.236005\pi\)
\(198\) −1.07746 + 0.709310i −0.0765721 + 0.0504085i
\(199\) −6.39415 + 11.0750i −0.453269 + 0.785085i −0.998587 0.0531442i \(-0.983076\pi\)
0.545318 + 0.838229i \(0.316409\pi\)
\(200\) −2.85649 4.10371i −0.201984 0.290176i
\(201\) 2.41012 + 2.17008i 0.169997 + 0.153066i
\(202\) −8.18944 + 4.17273i −0.576207 + 0.293592i
\(203\) 2.26769 + 5.58020i 0.159161 + 0.391653i
\(204\) −6.33833 + 8.72397i −0.443772 + 0.610800i
\(205\) 1.55359 + 1.35431i 0.108508 + 0.0945893i
\(206\) 1.78933 8.41815i 0.124669 0.586520i
\(207\) 0.701588 + 0.568135i 0.0487638 + 0.0394881i
\(208\) −2.00351 0.536840i −0.138919 0.0372232i
\(209\) 20.5260 + 2.02798i 1.41981 + 0.140278i
\(210\) −5.48815 7.82733i −0.378718 0.540137i
\(211\) −3.41111 + 2.47831i −0.234830 + 0.170614i −0.698977 0.715144i \(-0.746361\pi\)
0.464147 + 0.885758i \(0.346361\pi\)
\(212\) −0.115944 2.21235i −0.00796310 0.151945i
\(213\) −0.959200 0.0502695i −0.0657233 0.00344441i
\(214\) −5.58184 12.5370i −0.381566 0.857012i
\(215\) −2.93542 + 11.7040i −0.200194 + 0.798208i
\(216\) 5.20809 + 1.69221i 0.354366 + 0.115140i
\(217\) −18.6753 17.9616i −1.26776 1.21931i
\(218\) −0.650078 0.102962i −0.0440288 0.00697348i
\(219\) 1.21434 0.701100i 0.0820575 0.0473759i
\(220\) 2.44845 + 7.00036i 0.165075 + 0.471964i
\(221\) 6.92097 11.9875i 0.465555 0.806365i
\(222\) 3.99438 + 10.4057i 0.268085 + 0.698386i
\(223\) 7.98147 + 4.06676i 0.534479 + 0.272330i 0.700329 0.713821i \(-0.253037\pi\)
−0.165850 + 0.986151i \(0.553037\pi\)
\(224\) −1.51315 + 2.17034i −0.101102 + 0.145012i
\(225\) −1.19303 1.53578i −0.0795350 0.102385i
\(226\) 0.461448 4.39038i 0.0306950 0.292044i
\(227\) 1.28854 24.5867i 0.0855231 1.63188i −0.533003 0.846113i \(-0.678937\pi\)
0.618526 0.785764i \(-0.287730\pi\)
\(228\) −5.47310 8.42784i −0.362465 0.558147i
\(229\) 2.73102 + 1.21593i 0.180471 + 0.0803507i 0.494983 0.868903i \(-0.335174\pi\)
−0.314512 + 0.949253i \(0.601841\pi\)
\(230\) 4.14935 3.11773i 0.273600 0.205577i
\(231\) 4.72692 + 13.3682i 0.311009 + 0.879560i
\(232\) −1.60982 + 1.60982i −0.105690 + 0.105690i
\(233\) −8.27790 21.5647i −0.542303 1.41275i −0.881568 0.472057i \(-0.843511\pi\)
0.339264 0.940691i \(-0.389822\pi\)
\(234\) −0.789115 0.167731i −0.0515860 0.0109650i
\(235\) 6.81513 + 10.1342i 0.444570 + 0.661082i
\(236\) −10.0137 1.05248i −0.651836 0.0685107i
\(237\) 1.14578 + 7.23415i 0.0744262 + 0.469909i
\(238\) −11.3765 13.5024i −0.737431 0.875234i
\(239\) −5.51605 + 1.79227i −0.356804 + 0.115933i −0.481933 0.876208i \(-0.660065\pi\)
0.125130 + 0.992140i \(0.460065\pi\)
\(240\) 1.91897 3.06151i 0.123869 0.197620i
\(241\) −19.5864 11.3082i −1.26167 0.728425i −0.288271 0.957549i \(-0.593080\pi\)
−0.973397 + 0.229124i \(0.926414\pi\)
\(242\) −0.712714 10.9769i −0.0458150 0.705621i
\(243\) 3.87854 + 1.03925i 0.248808 + 0.0666680i
\(244\) −11.7868 + 8.56362i −0.754573 + 0.548229i
\(245\) 14.5979 5.64815i 0.932625 0.360847i
\(246\) −0.460244 + 1.41649i −0.0293441 + 0.0903119i
\(247\) 8.11778 + 10.0246i 0.516522 + 0.637852i
\(248\) 3.50967 9.14299i 0.222864 0.580581i
\(249\) 17.8831 16.1020i 1.13329 1.02042i
\(250\) −10.2326 + 4.50484i −0.647168 + 0.284911i
\(251\) 9.98714 + 13.7461i 0.630382 + 0.867647i 0.998057 0.0623076i \(-0.0198460\pi\)
−0.367675 + 0.929955i \(0.619846\pi\)
\(252\) −0.543546 + 0.873784i −0.0342402 + 0.0550432i
\(253\) −7.16954 + 2.80357i −0.450745 + 0.176259i
\(254\) −18.7974 + 10.8527i −1.17945 + 0.680957i
\(255\) 16.4201 + 17.6576i 1.02827 + 1.10576i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) 5.67400 + 3.68474i 0.353934 + 0.229848i 0.709343 0.704863i \(-0.248992\pi\)
−0.355409 + 0.934711i \(0.615658\pi\)
\(258\) −8.61242 + 1.36407i −0.536186 + 0.0849235i
\(259\) −18.1094 + 2.26075i −1.12526 + 0.140476i
\(260\) −2.03897 + 4.16581i −0.126452 + 0.258352i
\(261\) −0.592501 + 0.658039i −0.0366749 + 0.0407316i
\(262\) 14.1236 17.4412i 0.872558 1.07752i
\(263\) −11.1017 + 2.97469i −0.684560 + 0.183427i −0.584305 0.811534i \(-0.698633\pi\)
−0.100256 + 0.994962i \(0.531966\pi\)
\(264\) −3.96025 + 3.61082i −0.243737 + 0.222231i
\(265\) −4.90458 0.696246i −0.301286 0.0427700i
\(266\) 15.5465 5.38829i 0.953216 0.330377i
\(267\) 14.9828 + 7.63411i 0.916932 + 0.467200i
\(268\) −1.68325 1.09311i −0.102821 0.0667726i
\(269\) −3.67224 + 1.63499i −0.223900 + 0.0996869i −0.515621 0.856817i \(-0.672439\pi\)
0.291721 + 0.956503i \(0.405772\pi\)
\(270\) 5.95135 10.7014i 0.362188 0.651268i
\(271\) −6.32202 29.7428i −0.384035 1.80674i −0.567107 0.823644i \(-0.691937\pi\)
0.183072 0.983100i \(-0.441396\pi\)
\(272\) 3.02967 5.94606i 0.183701 0.360533i
\(273\) −3.87116 + 7.97799i −0.234294 + 0.482850i
\(274\) 10.2055i 0.616535i
\(275\) 16.4137 2.36472i 0.989781 0.142598i
\(276\) 3.24812 + 1.87530i 0.195514 + 0.112880i
\(277\) −8.53737 6.91343i −0.512961 0.415388i 0.337580 0.941297i \(-0.390392\pi\)
−0.850541 + 0.525909i \(0.823725\pi\)
\(278\) −0.149789 2.85814i −0.00898373 0.171420i
\(279\) 1.17708 3.62268i 0.0704699 0.216884i
\(280\) 4.11235 + 4.25307i 0.245760 + 0.254169i
\(281\) −9.45376 6.86856i −0.563964 0.409744i 0.268943 0.963156i \(-0.413326\pi\)
−0.832908 + 0.553412i \(0.813326\pi\)
\(282\) −4.80663 + 7.40156i −0.286231 + 0.440756i
\(283\) −5.87638 + 3.81617i −0.349315 + 0.226848i −0.707355 0.706859i \(-0.750112\pi\)
0.358040 + 0.933706i \(0.383445\pi\)
\(284\) 0.591168 0.0621342i 0.0350794 0.00368699i
\(285\) −20.8458 + 8.38858i −1.23480 + 0.496897i
\(286\) 4.57117 5.14094i 0.270299 0.303990i
\(287\) −2.07069 1.28809i −0.122229 0.0760338i
\(288\) −0.384155 0.0608442i −0.0226366 0.00358528i
\(289\) 20.4621 + 18.4242i 1.20365 + 1.08378i
\(290\) 2.84081 + 4.22432i 0.166818 + 0.248061i
\(291\) 6.83569 3.04344i 0.400715 0.178410i
\(292\) −0.674379 + 0.546102i −0.0394651 + 0.0319582i
\(293\) −3.76220 7.38374i −0.219790 0.431363i 0.754613 0.656170i \(-0.227825\pi\)
−0.974403 + 0.224808i \(0.927825\pi\)
\(294\) 7.89023 + 8.10469i 0.460168 + 0.472675i
\(295\) −6.61256 + 21.5217i −0.384998 + 1.25304i
\(296\) −3.44891 5.97369i −0.200464 0.347214i
\(297\) −12.7623 + 12.9225i −0.740541 + 0.749839i
\(298\) 4.09249 1.09658i 0.237072 0.0635232i
\(299\) −4.39817 1.95819i −0.254353 0.113245i
\(300\) −5.89355 5.52653i −0.340264 0.319074i
\(301\) 1.21557 14.2255i 0.0700644 0.819942i
\(302\) 10.7742 1.70646i 0.619983 0.0981956i
\(303\) −11.5421 + 9.34659i −0.663075 + 0.536948i
\(304\) 4.16129 + 4.62158i 0.238666 + 0.265066i
\(305\) 13.7270 + 29.5447i 0.786005 + 1.69173i
\(306\) 1.05572 2.37118i 0.0603515 0.135552i
\(307\) 20.9188 + 20.9188i 1.19390 + 1.19390i 0.975963 + 0.217937i \(0.0699329\pi\)
0.217937 + 0.975963i \(0.430067\pi\)
\(308\) −4.18347 7.71353i −0.238375 0.439519i
\(309\) 13.9066i 0.791118i
\(310\) −18.5551 11.6304i −1.05386 0.660564i
\(311\) −1.40424 + 6.60645i −0.0796274 + 0.374617i −0.999860 0.0167553i \(-0.994666\pi\)
0.920232 + 0.391373i \(0.128000\pi\)
\(312\) −3.34704 0.175411i −0.189489 0.00993070i
\(313\) −12.5983 15.5576i −0.712097 0.879367i 0.284759 0.958599i \(-0.408086\pi\)
−0.996856 + 0.0792324i \(0.974753\pi\)
\(314\) −6.99700 5.08362i −0.394864 0.286885i
\(315\) 1.68386 + 1.56823i 0.0948745 + 0.0883596i
\(316\) −1.40069 4.31088i −0.0787950 0.242506i
\(317\) −15.4444 + 5.92854i −0.867442 + 0.332980i −0.751067 0.660226i \(-0.770461\pi\)
−0.116375 + 0.993205i \(0.537127\pi\)
\(318\) −0.926518 3.45781i −0.0519566 0.193905i
\(319\) −2.37805 7.16645i −0.133145 0.401244i
\(320\) −0.876561 + 2.05710i −0.0490012 + 0.114995i
\(321\) −13.0344 17.9403i −0.727508 1.00133i
\(322\) −4.25698 + 4.42611i −0.237232 + 0.246658i
\(323\) −36.9782 + 18.8413i −2.05752 + 1.04836i
\(324\) 7.63981 + 0.802976i 0.424434 + 0.0446098i
\(325\) 8.26523 + 6.26439i 0.458473 + 0.347486i
\(326\) −10.9824 12.1972i −0.608258 0.675538i
\(327\) −1.06208 + 0.0556613i −0.0587333 + 0.00307808i
\(328\) 0.144188 0.910370i 0.00796147 0.0502668i
\(329\) −9.87635 10.5482i −0.544501 0.581542i
\(330\) 6.22178 + 10.2420i 0.342498 + 0.563801i
\(331\) 4.13332 + 7.15913i 0.227188 + 0.393501i 0.956974 0.290175i \(-0.0937135\pi\)
−0.729786 + 0.683676i \(0.760380\pi\)
\(332\) −9.37199 + 11.5734i −0.514355 + 0.635175i
\(333\) −1.46119 2.25004i −0.0800730 0.123302i
\(334\) −9.88853 + 2.10187i −0.541076 + 0.115009i
\(335\) −3.12203 + 3.22398i −0.170575 + 0.176145i
\(336\) −1.66249 + 3.93872i −0.0906963 + 0.214875i
\(337\) 3.78502 + 7.42851i 0.206183 + 0.404657i 0.970822 0.239802i \(-0.0770826\pi\)
−0.764639 + 0.644459i \(0.777083\pi\)
\(338\) −8.68581 + 0.455204i −0.472446 + 0.0247598i
\(339\) −0.745642 7.09431i −0.0404977 0.385310i
\(340\) −11.7461 9.20336i −0.637021 0.499123i
\(341\) 21.8844 + 24.0022i 1.18511 + 1.29979i
\(342\) 1.71037 + 1.71037i 0.0924859 + 0.0924859i
\(343\) −15.9825 + 9.35731i −0.862975 + 0.505247i
\(344\) 5.13220 1.66755i 0.276710 0.0899084i
\(345\) 5.51089 6.32179i 0.296697 0.340354i
\(346\) 1.56674 + 3.51897i 0.0842287 + 0.189181i
\(347\) 3.08095 8.02616i 0.165394 0.430867i −0.825687 0.564129i \(-0.809212\pi\)
0.991081 + 0.133262i \(0.0425453\pi\)
\(348\) −2.00359 + 3.08525i −0.107403 + 0.165387i
\(349\) 2.94424 + 9.06145i 0.157602 + 0.485048i 0.998415 0.0562767i \(-0.0179229\pi\)
−0.840813 + 0.541325i \(0.817923\pi\)
\(350\) 11.1000 7.19651i 0.593321 0.384669i
\(351\) −11.3585 −0.606272
\(352\) 2.07110 2.59047i 0.110390 0.138073i
\(353\) −3.83612 14.3166i −0.204176 0.761996i −0.989699 0.143163i \(-0.954273\pi\)
0.785523 0.618832i \(-0.212394\pi\)
\(354\) −16.1809 + 1.70068i −0.860005 + 0.0903902i
\(355\) 0.117685 1.32395i 0.00624607 0.0702681i
\(356\) −9.89715 3.21578i −0.524548 0.170436i
\(357\) −22.5176 17.5194i −1.19176 0.927228i
\(358\) 1.08777 + 6.86794i 0.0574906 + 0.362982i
\(359\) −5.40814 25.4433i −0.285431 1.34285i −0.854026 0.520230i \(-0.825846\pi\)
0.568596 0.822617i \(-0.307487\pi\)
\(360\) −0.298592 + 0.816841i −0.0157372 + 0.0430513i
\(361\) −2.05663 19.5675i −0.108244 1.02987i
\(362\) −5.76098 + 21.5003i −0.302790 + 1.13003i
\(363\) −4.81428 17.1102i −0.252684 0.898055i
\(364\) 1.59385 5.25124i 0.0835407 0.275240i
\(365\) 0.908571 + 1.71452i 0.0475568 + 0.0897419i
\(366\) −15.7528 + 17.4953i −0.823412 + 0.914491i
\(367\) −0.311484 + 5.94347i −0.0162593 + 0.310247i 0.978378 + 0.206824i \(0.0663128\pi\)
−0.994637 + 0.103423i \(0.967021\pi\)
\(368\) −2.16693 0.831806i −0.112959 0.0433609i
\(369\) 0.0374731 0.356533i 0.00195077 0.0185603i
\(370\) −14.5907 + 5.00130i −0.758532 + 0.260005i
\(371\) 5.86025 0.114151i 0.304249 0.00592645i
\(372\) 2.47558 15.6302i 0.128353 0.810388i
\(373\) 2.35572 8.79167i 0.121975 0.455215i −0.877739 0.479139i \(-0.840949\pi\)
0.999714 + 0.0239233i \(0.00761575\pi\)
\(374\) 13.1210 + 17.8246i 0.678473 + 0.921690i
\(375\) −14.6599 + 10.5579i −0.757033 + 0.545209i
\(376\) 2.22145 4.98946i 0.114563 0.257312i
\(377\) 2.14381 4.20747i 0.110412 0.216696i
\(378\) −4.92778 + 13.6247i −0.253458 + 0.700778i
\(379\) −2.99530 + 4.12268i −0.153858 + 0.211768i −0.878987 0.476845i \(-0.841780\pi\)
0.725129 + 0.688613i \(0.241780\pi\)
\(380\) 11.9297 7.14554i 0.611981 0.366559i
\(381\) −26.0644 + 23.4685i −1.33532 + 1.20233i
\(382\) 1.01383 0.658386i 0.0518719 0.0336860i
\(383\) 29.8923 11.4746i 1.52742 0.586323i 0.557595 0.830113i \(-0.311724\pi\)
0.969828 + 0.243790i \(0.0783908\pi\)
\(384\) −1.61588 −0.0824598
\(385\) −18.7242 + 5.86556i −0.954273 + 0.298937i
\(386\) −22.9606 −1.16867
\(387\) 1.95946 0.752165i 0.0996048 0.0382347i
\(388\) −3.88361 + 2.52204i −0.197160 + 0.128037i
\(389\) 16.8756 15.1948i 0.855626 0.770409i −0.119319 0.992856i \(-0.538071\pi\)
0.974945 + 0.222447i \(0.0714044\pi\)
\(390\) −1.82318 + 7.26934i −0.0923205 + 0.368097i
\(391\) 9.10458 12.5314i 0.460438 0.633739i
\(392\) −5.60745 4.19005i −0.283219 0.211629i
\(393\) 16.4637 32.3119i 0.830484 1.62992i
\(394\) −0.501837 + 1.12715i −0.0252822 + 0.0567847i
\(395\) −10.0616 + 1.22122i −0.506256 + 0.0614465i
\(396\) 0.751706 1.04833i 0.0377747 0.0526804i
\(397\) −8.15748 + 30.4441i −0.409412 + 1.52795i 0.386358 + 0.922349i \(0.373733\pi\)
−0.795770 + 0.605599i \(0.792934\pi\)
\(398\) 2.00053 12.6309i 0.100278 0.633127i
\(399\) 22.7620 13.7395i 1.13953 0.687837i
\(400\) 4.13740 + 2.80747i 0.206870 + 0.140374i
\(401\) 0.337719 3.21318i 0.0168649 0.160459i −0.982848 0.184417i \(-0.940960\pi\)
0.999713 + 0.0239584i \(0.00762693\pi\)
\(402\) −3.02773 1.16223i −0.151009 0.0579670i
\(403\) −1.06313 + 20.2857i −0.0529582 + 1.01050i
\(404\) 6.15013 6.83041i 0.305980 0.339826i
\(405\) 5.04496 16.4197i 0.250686 0.815900i
\(406\) −4.11684 4.39690i −0.204315 0.218214i
\(407\) 22.8382 1.33983i 1.13205 0.0664127i
\(408\) 2.79095 10.4160i 0.138173 0.515668i
\(409\) 0.928203 + 8.83126i 0.0458967 + 0.436678i 0.993207 + 0.116360i \(0.0371228\pi\)
−0.947310 + 0.320317i \(0.896211\pi\)
\(410\) −1.93575 0.707602i −0.0955997 0.0349460i
\(411\) −3.42862 16.1304i −0.169121 0.795654i
\(412\) 1.34631 + 8.50026i 0.0663279 + 0.418778i
\(413\) 3.65415 26.3879i 0.179809 1.29846i
\(414\) −0.858590 0.278973i −0.0421974 0.0137108i
\(415\) 21.3694 + 25.5391i 1.04898 + 1.25366i
\(416\) 2.06283 0.216812i 0.101138 0.0106301i
\(417\) −1.19697 4.46715i −0.0586159 0.218757i
\(418\) −19.8894 + 5.46257i −0.972823 + 0.267183i
\(419\) 3.71788 0.181630 0.0908152 0.995868i \(-0.471053\pi\)
0.0908152 + 0.995868i \(0.471053\pi\)
\(420\) 7.92870 + 5.34067i 0.386881 + 0.260598i
\(421\) 10.4077 + 32.0316i 0.507240 + 1.56113i 0.796971 + 0.604017i \(0.206434\pi\)
−0.289731 + 0.957108i \(0.593566\pi\)
\(422\) 2.29639 3.53614i 0.111787 0.172136i
\(423\) 0.761272 1.98318i 0.0370143 0.0964256i
\(424\) 0.901079 + 2.02386i 0.0437603 + 0.0982872i
\(425\) −25.2432 + 21.8207i −1.22448 + 1.05846i
\(426\) 0.913505 0.296816i 0.0442595 0.0143808i
\(427\) −21.6197 31.9130i −1.04625 1.54438i
\(428\) 9.70395 + 9.70395i 0.469058 + 0.469058i
\(429\) 5.49789 9.66133i 0.265441 0.466453i
\(430\) −1.45390 11.9786i −0.0701131 0.577660i
\(431\) 0.655198 + 6.23379i 0.0315598 + 0.300271i 0.998904 + 0.0468051i \(0.0149040\pi\)
−0.967344 + 0.253466i \(0.918429\pi\)
\(432\) −5.46861 + 0.286598i −0.263109 + 0.0137889i
\(433\) 5.72260 + 11.2312i 0.275011 + 0.539739i 0.986660 0.162796i \(-0.0520513\pi\)
−0.711649 + 0.702535i \(0.752051\pi\)
\(434\) 23.8717 + 10.0760i 1.14588 + 0.483663i
\(435\) 5.90928 + 5.72242i 0.283328 + 0.274369i
\(436\) 0.643798 0.136844i 0.0308323 0.00655362i
\(437\) 7.86173 + 12.1060i 0.376078 + 0.579109i
\(438\) −0.882433 + 1.08971i −0.0421643 + 0.0520685i
\(439\) 8.93530 + 15.4764i 0.426458 + 0.738648i 0.996555 0.0829298i \(-0.0264277\pi\)
−0.570097 + 0.821577i \(0.693094\pi\)
\(440\) −4.79453 5.65795i −0.228570 0.269732i
\(441\) −2.26329 1.51332i −0.107776 0.0720627i
\(442\) −2.16536 + 13.6715i −0.102996 + 0.650288i
\(443\) 2.87282 0.150558i 0.136492 0.00715323i 0.0160323 0.999871i \(-0.494897\pi\)
0.120460 + 0.992718i \(0.461563\pi\)
\(444\) −7.45815 8.28312i −0.353948 0.393099i
\(445\) −11.3096 + 20.3363i −0.536126 + 0.964035i
\(446\) −8.90874 0.936346i −0.421841 0.0443373i
\(447\) 6.10005 3.10813i 0.288522 0.147009i
\(448\) 0.634870 2.56845i 0.0299948 0.121348i
\(449\) −14.4900 19.9438i −0.683826 0.941206i 0.316145 0.948711i \(-0.397611\pi\)
−0.999972 + 0.00750439i \(0.997611\pi\)
\(450\) 1.66416 + 1.00623i 0.0784493 + 0.0474343i
\(451\) 2.48432 + 1.78139i 0.116982 + 0.0838824i
\(452\) 1.14257 + 4.26414i 0.0537421 + 0.200568i
\(453\) 16.4559 6.31685i 0.773168 0.296791i
\(454\) 7.60814 + 23.4154i 0.357068 + 1.09894i
\(455\) −10.8384 5.75406i −0.508110 0.269754i
\(456\) 8.12985 + 5.90668i 0.380715 + 0.276606i
\(457\) −5.13033 6.33543i −0.239987 0.296359i 0.642895 0.765954i \(-0.277733\pi\)
−0.882882 + 0.469595i \(0.844400\pi\)
\(458\) −2.98537 0.156457i −0.139497 0.00731075i
\(459\) 7.59801 35.7458i 0.354645 1.66847i
\(460\) −2.75646 + 4.39765i −0.128521 + 0.205041i
\(461\) 5.98550i 0.278772i −0.990238 0.139386i \(-0.955487\pi\)
0.990238 0.139386i \(-0.0445129\pi\)
\(462\) −9.20368 10.7863i −0.428194 0.501823i
\(463\) −2.87602 2.87602i −0.133660 0.133660i 0.637111 0.770772i \(-0.280129\pi\)
−0.770772 + 0.637111i \(0.780129\pi\)
\(464\) 0.925986 2.07980i 0.0429878 0.0965522i
\(465\) −33.2350 12.1489i −1.54124 0.563390i
\(466\) 15.4562 + 17.1658i 0.715993 + 0.795191i
\(467\) 12.3531 10.0033i 0.571633 0.462900i −0.299397 0.954129i \(-0.596786\pi\)
0.871030 + 0.491229i \(0.163452\pi\)
\(468\) 0.796812 0.126203i 0.0368326 0.00583372i
\(469\) 3.03696 4.35596i 0.140234 0.201140i
\(470\) −9.99425 7.01876i −0.461000 0.323751i
\(471\) −12.7671 5.68429i −0.588278 0.261918i
\(472\) 9.72577 2.60601i 0.447665 0.119951i
\(473\) −2.68945 + 17.6943i −0.123661 + 0.813586i
\(474\) −3.66216 6.34305i −0.168209 0.291346i
\(475\) −10.5538 29.2489i −0.484240 1.34203i
\(476\) 15.4597 + 8.52864i 0.708596 + 0.390909i
\(477\) 0.391186 + 0.767746i 0.0179112 + 0.0351527i
\(478\) 4.50739 3.65001i 0.206163 0.166947i
\(479\) −31.4537 + 14.0041i −1.43715 + 0.639863i −0.969732 0.244171i \(-0.921484\pi\)
−0.467423 + 0.884034i \(0.654817\pi\)
\(480\) −0.694361 + 3.54586i −0.0316931 + 0.161846i
\(481\) 10.6325 + 9.57353i 0.484799 + 0.436515i
\(482\) 22.3379 + 3.53798i 1.01747 + 0.161151i
\(483\) −5.24144 + 8.42594i −0.238494 + 0.383393i
\(484\) 4.59914 + 9.99239i 0.209052 + 0.454200i
\(485\) 3.86552 + 9.60590i 0.175524 + 0.436181i
\(486\) −3.99336 + 0.419719i −0.181143 + 0.0190388i
\(487\) 29.0329 18.8542i 1.31560 0.854364i 0.319946 0.947436i \(-0.396335\pi\)
0.995659 + 0.0930722i \(0.0296687\pi\)
\(488\) 7.93501 12.2188i 0.359201 0.553121i
\(489\) −21.4561 15.5888i −0.970279 0.704949i
\(490\) −11.6042 + 10.5044i −0.524224 + 0.474541i
\(491\) 7.93482 24.4209i 0.358093 1.10210i −0.596101 0.802909i \(-0.703284\pi\)
0.954194 0.299188i \(-0.0967158\pi\)
\(492\) −0.0779482 1.48734i −0.00351418 0.0670545i
\(493\) 11.8071 + 9.56117i 0.531764 + 0.430614i
\(494\) −11.1711 6.44964i −0.502612 0.290183i
\(495\) −1.97742 2.10001i −0.0888785 0.0943886i
\(496\) 9.79347i 0.439740i
\(497\) 0.112880 + 1.56864i 0.00506335 + 0.0703632i
\(498\) −10.9248 + 21.4412i −0.489554 + 0.960803i
\(499\) 0.0362440 + 0.170515i 0.00162251 + 0.00763329i 0.978951 0.204093i \(-0.0654246\pi\)
−0.977329 + 0.211727i \(0.932091\pi\)
\(500\) 7.93858 7.87267i 0.355024 0.352076i
\(501\) −14.9233 + 6.64429i −0.666725 + 0.296845i
\(502\) −14.2500 9.25403i −0.636007 0.413028i
\(503\) −28.4706 14.5065i −1.26944 0.646812i −0.316104 0.948725i \(-0.602375\pi\)
−0.953336 + 0.301913i \(0.902375\pi\)
\(504\) 0.194308 1.01054i 0.00865515 0.0450129i
\(505\) −12.3458 16.4309i −0.549381 0.731165i
\(506\) 5.68863 5.18669i 0.252890 0.230577i
\(507\) −13.5756 + 3.63756i −0.602912 + 0.161550i
\(508\) 13.6596 16.8682i 0.606047 0.748406i
\(509\) −11.3718 + 12.6297i −0.504047 + 0.559800i −0.940442 0.339955i \(-0.889588\pi\)
0.436395 + 0.899755i \(0.356255\pi\)
\(510\) −21.6574 10.6003i −0.959007 0.469390i
\(511\) −1.38541 1.83078i −0.0612868 0.0809889i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) 28.5615 + 18.5480i 1.26102 + 0.818916i
\(514\) −6.61762 1.40662i −0.291891 0.0620433i
\(515\) 19.2314 + 0.698334i 0.847437 + 0.0307723i
\(516\) 7.55155 4.35989i 0.332438 0.191933i
\(517\) 11.4873 + 14.0060i 0.505209 + 0.615984i
\(518\) 16.0964 8.60041i 0.707234 0.377880i
\(519\) 3.65857 + 5.03559i 0.160593 + 0.221038i
\(520\) 0.410651 4.61982i 0.0180082 0.202592i
\(521\) −12.3240 + 11.0966i −0.539923 + 0.486149i −0.893380 0.449302i \(-0.851673\pi\)
0.353457 + 0.935451i \(0.385006\pi\)
\(522\) 0.317327 0.826666i 0.0138890 0.0361822i
\(523\) 0.733802 + 0.906170i 0.0320869 + 0.0396240i 0.792937 0.609304i \(-0.208551\pi\)
−0.760850 + 0.648928i \(0.775218\pi\)
\(524\) −6.93514 + 21.3442i −0.302963 + 0.932424i
\(525\) 15.1266 15.1037i 0.660177 0.659180i
\(526\) 9.29830 6.75561i 0.405425 0.294559i
\(527\) −63.1290 16.9154i −2.74994 0.736845i
\(528\) 2.40321 4.79022i 0.104586 0.208467i
\(529\) 15.2529 + 8.80626i 0.663169 + 0.382881i
\(530\) 4.82834 1.10764i 0.209730 0.0481130i
\(531\) 3.72455 1.21018i 0.161632 0.0525173i
\(532\) −12.5829 + 10.6018i −0.545538 + 0.459645i
\(533\) 0.299074 + 1.88828i 0.0129543 + 0.0817905i
\(534\) −16.7235 1.75771i −0.723695 0.0760634i
\(535\) 25.4642 17.1244i 1.10091 0.740351i
\(536\) 1.96318 + 0.417288i 0.0847966 + 0.0180241i
\(537\) 4.02665 + 10.4898i 0.173763 + 0.452667i
\(538\) 2.84240 2.84240i 0.122545 0.122545i
\(539\) 20.7610 10.3915i 0.894238 0.447592i
\(540\) −1.72102 + 12.1234i −0.0740608 + 0.521709i
\(541\) 41.5974 + 18.5204i 1.78841 + 0.796252i 0.977455 + 0.211146i \(0.0677196\pi\)
0.810957 + 0.585106i \(0.198947\pi\)
\(542\) 16.5610 + 25.5016i 0.711354 + 1.09539i
\(543\) −1.88238 + 35.9180i −0.0807808 + 1.54139i
\(544\) −0.697562 + 6.63686i −0.0299077 + 0.284553i
\(545\) −0.0236405 1.47155i −0.00101265 0.0630342i
\(546\) 0.754988 8.83540i 0.0323105 0.378120i
\(547\) −29.4864 15.0240i −1.26075 0.642382i −0.309524 0.950892i \(-0.600170\pi\)
−0.951221 + 0.308510i \(0.900170\pi\)
\(548\) 3.65731 + 9.52762i 0.156233 + 0.407000i
\(549\) 2.83332 4.90745i 0.120923 0.209445i
\(550\) −14.4760 + 8.08979i −0.617260 + 0.344950i
\(551\) −12.2614 + 7.07910i −0.522351 + 0.301580i
\(552\) −3.70442 0.586723i −0.157671 0.0249726i
\(553\) 11.5212 3.32889i 0.489931 0.141559i
\(554\) 10.4479 + 3.39472i 0.443888 + 0.144228i
\(555\) −21.3812 + 12.8067i −0.907583 + 0.543616i
\(556\) 1.16411 + 2.61462i 0.0493691 + 0.110885i
\(557\) −21.4833 1.12589i −0.910278 0.0477056i −0.408555 0.912734i \(-0.633967\pi\)
−0.501723 + 0.865028i \(0.667300\pi\)
\(558\) 0.199353 + 3.80389i 0.00843931 + 0.161032i
\(559\) −9.05531 + 6.57907i −0.382999 + 0.278265i
\(560\) −5.36337 2.49685i −0.226644 0.105511i
\(561\) 26.7270 + 23.7649i 1.12842 + 1.00335i
\(562\) 11.2873 + 3.02443i 0.476127 + 0.127578i
\(563\) 24.3446 + 19.7139i 1.02600 + 0.830842i 0.985728 0.168347i \(-0.0538428\pi\)
0.0402766 + 0.999189i \(0.487176\pi\)
\(564\) 1.83489 8.63249i 0.0772629 0.363493i
\(565\) 9.84817 0.674900i 0.414315 0.0283933i
\(566\) 4.11848 5.66861i 0.173113 0.238269i
\(567\) −2.78788 + 20.1323i −0.117080 + 0.845475i
\(568\) −0.529636 + 0.269863i −0.0222230 + 0.0113232i
\(569\) 6.44543 + 5.80349i 0.270206 + 0.243295i 0.793083 0.609113i \(-0.208475\pi\)
−0.522877 + 0.852408i \(0.675141\pi\)
\(570\) 16.4551 15.3019i 0.689226 0.640926i
\(571\) 8.84493 15.3199i 0.370149 0.641117i −0.619439 0.785045i \(-0.712640\pi\)
0.989588 + 0.143928i \(0.0459733\pi\)
\(572\) −2.42521 + 6.43765i −0.101403 + 0.269172i
\(573\) 1.38123 1.38123i 0.0577016 0.0577016i
\(574\) 2.39477 + 0.460470i 0.0999557 + 0.0192196i
\(575\) 8.46567 + 7.93847i 0.353043 + 0.331057i
\(576\) 0.380445 0.0808660i 0.0158519 0.00336942i
\(577\) −32.5760 12.5047i −1.35615 0.520579i −0.431751 0.901993i \(-0.642104\pi\)
−0.924404 + 0.381414i \(0.875437\pi\)
\(578\) −25.7057 9.86748i −1.06921 0.410433i
\(579\) −36.2908 + 7.71385i −1.50819 + 0.320577i
\(580\) −4.16598 2.92569i −0.172983 0.121483i
\(581\) −29.7887 25.7893i −1.23584 1.06992i
\(582\) −5.29099 + 5.29099i −0.219319 + 0.219319i
\(583\) −7.33980 0.338759i −0.303983 0.0140300i
\(584\) 0.433882 0.751506i 0.0179542 0.0310975i
\(585\) 0.0654616 1.80275i 0.00270650 0.0745344i
\(586\) 6.15841 + 5.54506i 0.254402 + 0.229064i
\(587\) −12.4246 + 6.33067i −0.512820 + 0.261295i −0.691196 0.722668i \(-0.742916\pi\)
0.178376 + 0.983962i \(0.442916\pi\)
\(588\) −10.2706 4.73877i −0.423554 0.195424i
\(589\) 35.7991 49.2732i 1.47508 2.03027i
\(590\) −1.53933 22.4620i −0.0633732 0.924744i
\(591\) −0.414512 + 1.95012i −0.0170507 + 0.0802174i
\(592\) 5.36062 + 4.34094i 0.220320 + 0.178412i
\(593\) 25.4565 + 6.82105i 1.04537 + 0.280107i 0.740339 0.672234i \(-0.234665\pi\)
0.305035 + 0.952341i \(0.401332\pi\)
\(594\) 7.28358 16.6378i 0.298849 0.682656i
\(595\) 25.3584 30.2599i 1.03959 1.24053i
\(596\) −3.42769 + 2.49036i −0.140404 + 0.102009i
\(597\) −1.08149 20.6360i −0.0442623 0.844575i
\(598\) 4.80779 + 0.251966i 0.196605 + 0.0103036i
\(599\) 13.7749 + 30.9390i 0.562829 + 1.26413i 0.941002 + 0.338400i \(0.109886\pi\)
−0.378173 + 0.925735i \(0.623448\pi\)
\(600\) 7.48263 + 3.04740i 0.305477 + 0.124409i
\(601\) −7.31023 2.37524i −0.298190 0.0968879i 0.156101 0.987741i \(-0.450107\pi\)
−0.454291 + 0.890853i \(0.650107\pi\)
\(602\) 3.96312 + 13.7162i 0.161525 + 0.559032i
\(603\) 0.771016 + 0.122117i 0.0313982 + 0.00497299i
\(604\) −9.44700 + 5.45423i −0.384393 + 0.221929i
\(605\) 23.9035 5.79846i 0.971816 0.235741i
\(606\) 7.42594 12.8621i 0.301658 0.522487i
\(607\) 7.81590 + 20.3611i 0.317237 + 0.826432i 0.995772 + 0.0918630i \(0.0292822\pi\)
−0.678534 + 0.734569i \(0.737384\pi\)
\(608\) −5.54112 2.82334i −0.224722 0.114502i
\(609\) −7.98411 5.56650i −0.323533 0.225566i
\(610\) −23.4031 22.6631i −0.947565 0.917601i
\(611\) −1.18415 + 11.2664i −0.0479056 + 0.455791i
\(612\) −0.135842 + 2.59203i −0.00549110 + 0.104777i
\(613\) −0.270029 0.415808i −0.0109064 0.0167943i 0.833175 0.553009i \(-0.186520\pi\)
−0.844082 + 0.536215i \(0.819854\pi\)
\(614\) −27.0260 12.0328i −1.09068 0.485603i
\(615\) −3.29730 0.468079i −0.132960 0.0188748i
\(616\) 6.66989 + 5.70198i 0.268737 + 0.229739i
\(617\) −25.7712 + 25.7712i −1.03751 + 1.03751i −0.0382411 + 0.999269i \(0.512175\pi\)
−0.999269 + 0.0382411i \(0.987825\pi\)
\(618\) 4.98367 + 12.9829i 0.200473 + 0.522249i
\(619\) −38.6653 8.21856i −1.55409 0.330332i −0.650762 0.759282i \(-0.725550\pi\)
−0.903328 + 0.428950i \(0.858884\pi\)
\(620\) 21.4907 + 4.20837i 0.863087 + 0.169012i
\(621\) −12.6409 1.32862i −0.507264 0.0533156i
\(622\) −1.05657 6.67089i −0.0423644 0.267478i
\(623\) 9.36446 25.8915i 0.375179 1.03732i
\(624\) 3.18760 1.03571i 0.127606 0.0414617i
\(625\) −13.8644 20.8033i −0.554576 0.832133i
\(626\) 17.3369 + 10.0094i 0.692920 + 0.400058i
\(627\) −29.6013 + 15.3160i −1.18216 + 0.611662i
\(628\) 8.35407 + 2.23847i 0.333364 + 0.0893246i
\(629\) −37.2407 + 27.0570i −1.48489 + 1.07883i
\(630\) −2.13402 0.860627i −0.0850213 0.0342882i
\(631\) −5.97384 + 18.3856i −0.237815 + 0.731919i 0.758921 + 0.651183i \(0.225727\pi\)
−0.996736 + 0.0807357i \(0.974273\pi\)
\(632\) 2.85254 + 3.52259i 0.113468 + 0.140121i
\(633\) 2.44160 6.36059i 0.0970450 0.252811i
\(634\) 12.2940 11.0695i 0.488255 0.439627i
\(635\) −31.1458 37.2230i −1.23598 1.47715i
\(636\) 2.10415 + 2.89611i 0.0834349 + 0.114838i
\(637\) 13.7473 + 4.67145i 0.544689 + 0.185089i
\(638\) 4.78833 + 5.83824i 0.189572 + 0.231138i
\(639\) −0.200223 + 0.115599i −0.00792070 + 0.00457302i
\(640\) 0.0811429 2.23460i 0.00320746 0.0883301i
\(641\) −32.6793 6.94620i −1.29076 0.274359i −0.489144 0.872203i \(-0.662691\pi\)
−0.801612 + 0.597845i \(0.796024\pi\)
\(642\) 18.5979 + 12.0776i 0.733999 + 0.476665i
\(643\) −44.8938 + 7.11048i −1.77044 + 0.280410i −0.954604 0.297877i \(-0.903721\pi\)
−0.815834 + 0.578287i \(0.803721\pi\)
\(644\) 2.38805 5.65770i 0.0941025 0.222945i
\(645\) −6.32231 18.4445i −0.248941 0.726253i
\(646\) 27.7700 30.8417i 1.09260 1.21345i
\(647\) −4.02738 + 4.97339i −0.158332 + 0.195524i −0.850139 0.526559i \(-0.823482\pi\)
0.691806 + 0.722083i \(0.256815\pi\)
\(648\) −7.42014 + 1.98822i −0.291491 + 0.0781046i
\(649\) −6.73921 + 32.7075i −0.264537 + 1.28388i
\(650\) −9.96122 2.88632i −0.390711 0.113211i
\(651\) 41.1159 + 7.90584i 1.61146 + 0.309854i
\(652\) 14.6240 + 7.45130i 0.572720 + 0.291816i
\(653\) 9.89764 + 6.42760i 0.387325 + 0.251532i 0.723582 0.690239i \(-0.242494\pi\)
−0.336257 + 0.941770i \(0.609161\pi\)
\(654\) 0.971592 0.432580i 0.0379922 0.0169152i
\(655\) 43.8573 + 24.3902i 1.71365 + 0.953006i
\(656\) 0.191636 + 0.901576i 0.00748212 + 0.0352006i
\(657\) 0.153227 0.300725i 0.00597796 0.0117324i
\(658\) 13.0005 + 6.30824i 0.506813 + 0.245921i
\(659\) 44.9117i 1.74951i −0.484563 0.874756i \(-0.661021\pi\)
0.484563 0.874756i \(-0.338979\pi\)
\(660\) −9.47892 7.33200i −0.368966 0.285398i
\(661\) 42.7940 + 24.7071i 1.66449 + 0.960996i 0.970528 + 0.240988i \(0.0774715\pi\)
0.693966 + 0.720008i \(0.255862\pi\)
\(662\) −6.42439 5.20237i −0.249691 0.202196i
\(663\) 1.17059 + 22.3362i 0.0454620 + 0.867467i
\(664\) 4.60196 14.1634i 0.178591 0.549645i
\(665\) 17.8574 + 32.1675i 0.692480 + 1.24740i
\(666\) 2.17049 + 1.57695i 0.0841046 + 0.0611056i
\(667\) 2.87801 4.43175i 0.111437 0.171598i
\(668\) 8.47849 5.50600i 0.328043 0.213033i
\(669\) −14.3954 + 1.51302i −0.556559 + 0.0584967i
\(670\) 1.75930 4.12868i 0.0679675 0.159505i
\(671\) 24.4211 + 41.6956i 0.942764 + 1.60964i
\(672\) 0.140558 4.27290i 0.00542215 0.164831i
\(673\) 3.85144 + 0.610009i 0.148462 + 0.0235141i 0.230223 0.973138i \(-0.426054\pi\)
−0.0817609 + 0.996652i \(0.526054\pi\)
\(674\) −6.19576 5.57869i −0.238652 0.214883i
\(675\) 25.8640 + 8.98616i 0.995504 + 0.345877i
\(676\) 7.94577 3.53769i 0.305607 0.136065i
\(677\) 29.4245 23.8275i 1.13087 0.915764i 0.133710 0.991021i \(-0.457311\pi\)
0.997164 + 0.0752569i \(0.0239777\pi\)
\(678\) 3.23849 + 6.35590i 0.124373 + 0.244097i
\(679\) −6.33128 10.4889i −0.242972 0.402527i
\(680\) 14.2641 + 4.38266i 0.547004 + 0.168067i
\(681\) 19.8918 + 34.4536i 0.762256 + 1.32027i
\(682\) −29.0325 14.5653i −1.11171 0.557736i
\(683\) 46.3378 12.4162i 1.77307 0.475092i 0.783775 0.621045i \(-0.213292\pi\)
0.989292 + 0.145953i \(0.0466248\pi\)
\(684\) −2.20970 0.983823i −0.0844901 0.0376174i
\(685\) 22.4789 3.93144i 0.858875 0.150212i
\(686\) 11.5676 14.4634i 0.441653 0.552216i
\(687\) −4.77114 + 0.755675i −0.182030 + 0.0288308i
\(688\) −4.19372 + 3.39601i −0.159884 + 0.129472i
\(689\) −3.07475 3.41485i −0.117139 0.130096i
\(690\) −2.87933 + 7.87683i −0.109614 + 0.299866i
\(691\) 11.8317 26.5744i 0.450098 1.01094i −0.535916 0.844272i \(-0.680034\pi\)
0.986014 0.166665i \(-0.0532998\pi\)
\(692\) −2.72377 2.72377i −0.103542 0.103542i
\(693\) 2.70672 + 2.07894i 0.102820 + 0.0789725i
\(694\) 8.59718i 0.326345i
\(695\) 6.23773 1.43097i 0.236611 0.0542797i
\(696\) 0.764853 3.59835i 0.0289917 0.136395i
\(697\) −6.14258 0.321919i −0.232667 0.0121935i
\(698\) −5.99602 7.40447i −0.226953 0.280263i
\(699\) 30.1965 + 21.9391i 1.14214 + 0.829811i
\(700\) −7.78376 + 10.6964i −0.294198 + 0.404286i
\(701\) 10.9738 + 33.7739i 0.414474 + 1.27562i 0.912720 + 0.408585i \(0.133978\pi\)
−0.498246 + 0.867036i \(0.666022\pi\)
\(702\) 10.6041 4.07052i 0.400225 0.153632i
\(703\) −11.1026 41.4355i −0.418743 1.56277i
\(704\) −1.00519 + 3.16063i −0.0378847 + 0.119121i
\(705\) −18.1546 7.73595i −0.683741 0.291353i
\(706\) 8.71194 + 11.9910i 0.327878 + 0.451285i
\(707\) 17.5268 + 16.8571i 0.659164 + 0.633975i
\(708\) 14.4967 7.38644i 0.544819 0.277599i
\(709\) 20.0135 + 2.10350i 0.751623 + 0.0789988i 0.472590 0.881283i \(-0.343319\pi\)
0.279033 + 0.960281i \(0.409986\pi\)
\(710\) 0.364594 + 1.27819i 0.0136830 + 0.0479696i
\(711\) 1.17966 + 1.31015i 0.0442408 + 0.0491344i
\(712\) 10.3922 0.544633i 0.389465 0.0204110i
\(713\) −3.55600 + 22.4517i −0.133173 + 0.840823i
\(714\) 27.3004 + 8.28622i 1.02169 + 0.310104i
\(715\) 13.0846 + 8.08819i 0.489335 + 0.302481i
\(716\) −3.47677 6.02195i −0.129933 0.225051i
\(717\) 5.89796 7.28338i 0.220263 0.272003i
\(718\) 14.1670 + 21.8153i 0.528708 + 0.814139i
\(719\) 45.5545 9.68291i 1.69890 0.361112i 0.746362 0.665541i \(-0.231799\pi\)
0.952535 + 0.304429i \(0.0984656\pi\)
\(720\) −0.0139701 0.869593i −0.000520634 0.0324078i
\(721\) −22.5945 + 2.82067i −0.841464 + 0.105047i
\(722\) 8.93240 + 17.5308i 0.332429 + 0.652429i
\(723\) 36.4952 1.91263i 1.35727 0.0711315i
\(724\) −2.32667 22.1368i −0.0864700 0.822707i
\(725\) −8.21027 + 7.88459i −0.304922 + 0.292826i
\(726\) 10.6263 + 14.2485i 0.394378 + 0.528812i
\(727\) 3.80637 + 3.80637i 0.141170 + 0.141170i 0.774160 0.632990i \(-0.218173\pi\)
−0.632990 + 0.774160i \(0.718173\pi\)
\(728\) 0.393884 + 5.47364i 0.0145983 + 0.202867i
\(729\) −28.0885 + 9.12651i −1.04031 + 0.338019i
\(730\) −1.46265 1.27504i −0.0541352 0.0471912i
\(731\) −14.6473 32.8985i −0.541751 1.21679i
\(732\) 8.43676 21.9785i 0.311832 0.812349i
\(733\) 0.541672 0.834102i 0.0200071 0.0308082i −0.828526 0.559951i \(-0.810820\pi\)
0.848533 + 0.529143i \(0.177487\pi\)
\(734\) −1.83916 5.66034i −0.0678845 0.208927i
\(735\) −14.8121 + 20.5015i −0.546353 + 0.756208i
\(736\) 2.32109 0.0855567
\(737\) −4.15678 + 5.19919i −0.153117 + 0.191515i
\(738\) 0.0927857 + 0.346281i 0.00341549 + 0.0127468i
\(739\) −21.8422 + 2.29571i −0.803480 + 0.0844491i −0.497360 0.867544i \(-0.665697\pi\)
−0.306119 + 0.951993i \(0.599031\pi\)
\(740\) 11.8292 9.89793i 0.434852 0.363855i
\(741\) −19.8235 6.44104i −0.728234 0.236618i
\(742\) −5.43011 + 2.20670i −0.199346 + 0.0810104i
\(743\) 1.60065 + 10.1061i 0.0587221 + 0.370757i 0.999497 + 0.0317240i \(0.0100998\pi\)
−0.940775 + 0.339033i \(0.889900\pi\)
\(744\) 3.29021 + 15.4792i 0.120625 + 0.567496i
\(745\) 3.99191 + 8.59183i 0.146252 + 0.314780i
\(746\) 0.951398 + 9.05195i 0.0348331 + 0.331415i
\(747\) 1.49914 5.59488i 0.0548508 0.204706i
\(748\) −18.6373 11.9386i −0.681448 0.436517i
\(749\) −26.5045 + 24.8163i −0.968452 + 0.906767i
\(750\) 9.90255 15.1103i 0.361590 0.551751i
\(751\) 0.690974 0.767404i 0.0252140 0.0280030i −0.730406 0.683013i \(-0.760669\pi\)
0.755620 + 0.655010i \(0.227336\pi\)
\(752\) −0.285841 + 5.45416i −0.0104235 + 0.198893i
\(753\) −25.6320 9.83919i −0.934081 0.358560i
\(754\) −0.493599 + 4.69628i −0.0179758 + 0.171029i
\(755\) 7.90921 + 23.0741i 0.287846 + 0.839754i
\(756\) −0.282166 14.4857i −0.0102623 0.526839i
\(757\) −0.0896002 + 0.565713i −0.00325657 + 0.0205612i −0.989263 0.146145i \(-0.953313\pi\)
0.986007 + 0.166707i \(0.0533133\pi\)
\(758\) 1.31892 4.92227i 0.0479053 0.178785i
\(759\) 7.24873 10.1091i 0.263112 0.366935i
\(760\) −8.57660 + 10.9462i −0.311106 + 0.397059i
\(761\) 2.15183 4.83308i 0.0780037 0.175199i −0.870334 0.492462i \(-0.836097\pi\)
0.948338 + 0.317263i \(0.102764\pi\)
\(762\) 15.9229 31.2504i 0.576825 1.13208i
\(763\) 0.305857 + 1.71431i 0.0110728 + 0.0620623i
\(764\) −0.710544 + 0.977979i −0.0257066 + 0.0353821i
\(765\) 5.62955 + 1.41192i 0.203537 + 0.0510479i
\(766\) −23.7947 + 21.4249i −0.859738 + 0.774112i
\(767\) −17.5154 + 11.3746i −0.632445 + 0.410714i
\(768\) 1.50855 0.579078i 0.0544351 0.0208957i
\(769\) 25.3285 0.913368 0.456684 0.889629i \(-0.349037\pi\)
0.456684 + 0.889629i \(0.349037\pi\)
\(770\) 15.3785 12.1861i 0.554203 0.439157i
\(771\) −10.9322 −0.393712
\(772\) 21.4356 8.22836i 0.771484 0.296145i
\(773\) −10.2515 + 6.65742i −0.368722 + 0.239451i −0.715678 0.698431i \(-0.753882\pi\)
0.346956 + 0.937881i \(0.387215\pi\)
\(774\) −1.55976 + 1.40441i −0.0560644 + 0.0504806i
\(775\) 18.4696 45.3506i 0.663448 1.62904i
\(776\) 2.72184 3.74629i 0.0977084 0.134484i
\(777\) 22.5520 19.0012i 0.809048 0.681666i
\(778\) −10.3094 + 20.2333i −0.369609 + 0.725398i
\(779\) 2.33146 5.23655i 0.0835332 0.187619i
\(780\) −0.903010 7.43988i −0.0323330 0.266391i
\(781\) −0.0122997 1.97144i −0.000440118 0.0705438i
\(782\) −4.00901 + 14.9618i −0.143362 + 0.535034i
\(783\) 1.95028 12.3136i 0.0696972 0.440051i
\(784\) 6.73658 + 1.90222i 0.240592 + 0.0679364i
\(785\) 8.50191 17.3702i 0.303446 0.619969i
\(786\) −3.79067 + 36.0658i −0.135209 + 1.28642i
\(787\) 34.9966 + 13.4339i 1.24749 + 0.478868i 0.890390 0.455198i \(-0.150431\pi\)
0.357102 + 0.934065i \(0.383765\pi\)
\(788\) 0.0645728 1.23212i 0.00230031 0.0438926i
\(789\) 12.4270 13.8015i 0.442411 0.491348i
\(790\) 8.95571 4.74588i 0.318630 0.168851i
\(791\) −11.3751 + 2.65041i −0.404454 + 0.0942378i
\(792\) −0.326091 + 1.24808i −0.0115872 + 0.0443488i
\(793\) −7.82138 + 29.1898i −0.277745 + 1.03656i
\(794\) −3.29454 31.3454i −0.116919 1.11241i
\(795\) 7.25938 3.37283i 0.257464 0.119622i
\(796\) 2.65884 + 12.5088i 0.0942400 + 0.443364i
\(797\) −3.94425 24.9030i −0.139712 0.882110i −0.953598 0.301084i \(-0.902652\pi\)
0.813885 0.581026i \(-0.197348\pi\)
\(798\) −16.3263 + 20.9841i −0.577946 + 0.742830i
\(799\) −34.6640 11.2630i −1.22632 0.398457i
\(800\) −4.86871 1.13829i −0.172135 0.0402447i
\(801\) 4.02536 0.423083i 0.142229 0.0149489i
\(802\) 0.836214 + 3.12079i 0.0295277 + 0.110199i
\(803\) 1.58253 + 2.40391i 0.0558461 + 0.0848321i
\(804\) 3.24313 0.114376
\(805\) −11.3890 7.67150i −0.401410 0.270385i
\(806\) −6.27723 19.3193i −0.221106 0.680494i
\(807\) 3.53767 5.44754i 0.124532 0.191762i
\(808\) −3.29384 + 8.58075i −0.115877 + 0.301870i
\(809\) −1.72662 3.87806i −0.0607048 0.136345i 0.880646 0.473775i \(-0.157109\pi\)
−0.941351 + 0.337430i \(0.890442\pi\)
\(810\) 1.17441 + 17.1370i 0.0412646 + 0.602134i
\(811\) −19.6063 + 6.37049i −0.688472 + 0.223698i −0.632301 0.774723i \(-0.717889\pi\)
−0.0561711 + 0.998421i \(0.517889\pi\)
\(812\) 5.41911 + 2.62952i 0.190173 + 0.0922780i
\(813\) 34.7432 + 34.7432i 1.21850 + 1.21850i
\(814\) −20.8412 + 9.43533i −0.730483 + 0.330708i
\(815\) 22.6352 28.8889i 0.792875 1.01193i
\(816\) 1.12717 + 10.7243i 0.0394590 + 0.375427i
\(817\) 33.5134 1.75636i 1.17249 0.0614473i
\(818\) −4.03139 7.91205i −0.140954 0.276638i
\(819\) 0.264409 + 2.11800i 0.00923919 + 0.0740090i
\(820\) 2.06076 0.0331062i 0.0719648 0.00115612i
\(821\) 38.6755 8.22072i 1.34978 0.286905i 0.524397 0.851474i \(-0.324291\pi\)
0.825386 + 0.564569i \(0.190957\pi\)
\(822\) 8.98151 + 13.8303i 0.313266 + 0.482388i
\(823\) −17.7795 + 21.9558i −0.619753 + 0.765331i −0.986281 0.165076i \(-0.947213\pi\)
0.366528 + 0.930407i \(0.380546\pi\)
\(824\) −4.30311 7.45320i −0.149906 0.259645i
\(825\) −20.1625 + 17.6498i −0.701967 + 0.614487i
\(826\) 6.04513 + 25.9447i 0.210337 + 0.902733i
\(827\) −3.42954 + 21.6533i −0.119257 + 0.752958i 0.853494 + 0.521103i \(0.174479\pi\)
−0.972750 + 0.231855i \(0.925521\pi\)
\(828\) 0.901538 0.0472476i 0.0313306 0.00164197i
\(829\) −28.2469 31.3714i −0.981056 1.08957i −0.995970 0.0896842i \(-0.971414\pi\)
0.0149143 0.999889i \(-0.495252\pi\)
\(830\) −29.1024 16.1847i −1.01016 0.561777i
\(831\) 17.6540 + 1.85551i 0.612412 + 0.0643671i
\(832\) −1.84812 + 0.941663i −0.0640720 + 0.0326463i
\(833\) −23.8972 + 40.1387i −0.827990 + 1.39072i
\(834\) 2.71835 + 3.74149i 0.0941288 + 0.129557i
\(835\) −8.43900 20.9711i −0.292044 0.725735i
\(836\) 16.6108 12.2275i 0.574495 0.422896i
\(837\) 13.8805 + 51.8028i 0.479781 + 1.79057i
\(838\) −3.47094 + 1.33237i −0.119902 + 0.0460260i
\(839\) 16.3244 + 50.2412i 0.563579 + 1.73452i 0.672135 + 0.740429i \(0.265377\pi\)
−0.108555 + 0.994090i \(0.534623\pi\)
\(840\) −9.31600 2.14455i −0.321433 0.0739941i
\(841\) −19.2683 13.9993i −0.664426 0.482734i
\(842\) −21.1955 26.1743i −0.730446 0.902026i
\(843\) 18.8564 + 0.988224i 0.649450 + 0.0340362i
\(844\) −0.876630 + 4.12422i −0.0301749 + 0.141962i
\(845\) −4.34867 18.9563i −0.149599 0.652117i
\(846\) 2.12427i 0.0730341i
\(847\) −26.8232 + 11.2924i −0.921654 + 0.388012i
\(848\) −1.56652 1.56652i −0.0537944 0.0537944i
\(849\) 4.60511 10.3432i 0.158047 0.354979i
\(850\) 15.7467 29.4177i 0.540108 1.00902i
\(851\) 10.7131 + 11.8981i 0.367241 + 0.407862i
\(852\) −0.746461 + 0.604472i −0.0255733 + 0.0207089i
\(853\) −30.6560 + 4.85543i −1.04964 + 0.166247i −0.657343 0.753592i \(-0.728320\pi\)
−0.392298 + 0.919838i \(0.628320\pi\)
\(854\) 31.6203 + 22.0456i 1.08202 + 0.754384i
\(855\) −3.10843 + 4.42619i −0.106306 + 0.151373i
\(856\) −12.5370 5.58184i −0.428506 0.190783i
\(857\) −9.78103 + 2.62082i −0.334114 + 0.0895254i −0.421976 0.906607i \(-0.638663\pi\)
0.0878621 + 0.996133i \(0.471997\pi\)
\(858\) −1.67041 + 10.9899i −0.0570269 + 0.375189i
\(859\) −17.6790 30.6209i −0.603199 1.04477i −0.992333 0.123591i \(-0.960559\pi\)
0.389134 0.921181i \(-0.372774\pi\)
\(860\) 5.65008 + 10.6620i 0.192666 + 0.363570i
\(861\) 3.93979 0.0767428i 0.134268 0.00261539i
\(862\) −2.84567 5.58494i −0.0969240 0.190224i
\(863\) 0.817696 0.662157i 0.0278347 0.0225401i −0.615302 0.788291i \(-0.710966\pi\)
0.643137 + 0.765751i \(0.277633\pi\)
\(864\) 5.00268 2.22734i 0.170195 0.0757755i
\(865\) −7.14744 + 4.80657i −0.243020 + 0.163428i
\(866\) −9.36743 8.43447i −0.318318 0.286615i
\(867\) −43.9446 6.96014i −1.49244 0.236379i
\(868\) −25.8971 0.851892i −0.879004 0.0289151i
\(869\) −14.6851 + 3.21729i −0.498156 + 0.109139i
\(870\) −7.56752 3.22464i −0.256563 0.109326i
\(871\) −4.14018 + 0.435151i −0.140285 + 0.0147445i
\(872\) −0.551997 + 0.358471i −0.0186930 + 0.0121394i
\(873\) 0.980934 1.51051i 0.0331996 0.0511229i
\(874\) −11.6780 8.48454i −0.395013 0.286994i
\(875\) 20.1273 + 21.6770i 0.680428 + 0.732815i
\(876\) 0.433303 1.33357i 0.0146400 0.0450572i
\(877\) 0.734735 + 14.0196i 0.0248102 + 0.473407i 0.982576 + 0.185859i \(0.0595068\pi\)
−0.957766 + 0.287548i \(0.907160\pi\)
\(878\) −13.8881 11.2463i −0.468699 0.379545i
\(879\) 11.5967 + 6.69535i 0.391147 + 0.225829i
\(880\) 6.50371 + 3.56395i 0.219240 + 0.120141i
\(881\) 36.9388i 1.24450i −0.782819 0.622249i \(-0.786219\pi\)
0.782819 0.622249i \(-0.213781\pi\)
\(882\) 2.65528 + 0.601714i 0.0894080 + 0.0202608i
\(883\) 17.6554 34.6506i 0.594151 1.16609i −0.376685 0.926342i \(-0.622936\pi\)
0.970836 0.239746i \(-0.0770640\pi\)
\(884\) −2.87790 13.5395i −0.0967943 0.455381i
\(885\) −9.97932 34.9854i −0.335451 1.17602i
\(886\) −2.62805 + 1.17008i −0.0882912 + 0.0393098i
\(887\) 17.7528 + 11.5288i 0.596082 + 0.387100i 0.807128 0.590376i \(-0.201020\pi\)
−0.211046 + 0.977476i \(0.567687\pi\)
\(888\) 9.93119 + 5.06019i 0.333269 + 0.169809i
\(889\) 43.4168 + 37.5877i 1.45615 + 1.26065i
\(890\) 3.27052 23.0386i 0.109628 0.772256i
\(891\) 5.14158 24.9538i 0.172249 0.835982i
\(892\) 8.65258 2.31845i 0.289710 0.0776275i
\(893\) 21.3753 26.3963i 0.715297 0.883319i
\(894\) −4.58103 + 5.08775i −0.153213 + 0.170160i
\(895\) −14.7085 + 5.04169i −0.491651 + 0.168525i
\(896\) 0.327748 + 2.62537i 0.0109493 + 0.0877075i
\(897\) 7.68368 1.21698i 0.256551 0.0406336i
\(898\) 20.6748 + 13.4264i 0.689928 + 0.448044i
\(899\) −21.8088 4.63561i −0.727365 0.154606i
\(900\) −1.91423 0.343018i −0.0638076 0.0114339i
\(901\) 12.8035 7.39210i 0.426546 0.246267i
\(902\) −2.95771 0.772770i −0.0984808 0.0257304i
\(903\) 10.8721 + 20.3480i 0.361800 + 0.677138i
\(904\) −2.59482 3.57146i −0.0863023 0.118785i
\(905\) −49.5765 4.40681i −1.64798 0.146487i
\(906\) −13.0992 + 11.7946i −0.435192 + 0.391848i
\(907\) −11.5898 + 30.1925i −0.384834 + 1.00253i 0.595180 + 0.803593i \(0.297081\pi\)
−0.980013 + 0.198933i \(0.936252\pi\)
\(908\) −15.4942 19.1337i −0.514192 0.634974i
\(909\) −1.10470 + 3.39990i −0.0366404 + 0.112768i
\(910\) 12.1806 + 1.48775i 0.403782 + 0.0493185i
\(911\) −4.88636 + 3.55014i −0.161892 + 0.117622i −0.665782 0.746147i \(-0.731902\pi\)
0.503890 + 0.863768i \(0.331902\pi\)
\(912\) −9.70663 2.60089i −0.321419 0.0861239i
\(913\) 35.1426 + 34.7068i 1.16305 + 1.14863i
\(914\) 7.05999 + 4.07609i 0.233524 + 0.134825i
\(915\) −44.6041 27.9580i −1.47457 0.924262i
\(916\) 2.84316 0.923797i 0.0939405 0.0305231i
\(917\) −55.8376 20.1954i −1.84392 0.666910i
\(918\) 5.71680 + 36.0945i 0.188683 + 1.19130i
\(919\) 8.31276 + 0.873706i 0.274213 + 0.0288209i 0.240637 0.970615i \(-0.422644\pi\)
0.0335760 + 0.999436i \(0.489310\pi\)
\(920\) 0.997401 5.09339i 0.0328833 0.167924i
\(921\) −46.7589 9.93892i −1.54076 0.327499i
\(922\) 2.14501 + 5.58794i 0.0706421 + 0.184029i
\(923\) 0.871827 0.871827i 0.0286965 0.0286965i
\(924\) 12.4578 + 6.77155i 0.409832 + 0.222767i
\(925\) −16.6368 30.2112i −0.547013 0.993339i
\(926\) 3.71568 + 1.65433i 0.122105 + 0.0543645i
\(927\) −1.82309 2.80731i −0.0598781 0.0922042i
\(928\) −0.119149 + 2.27350i −0.00391127 + 0.0746314i
\(929\) 5.21654 49.6321i 0.171149 1.62837i −0.485541 0.874214i \(-0.661377\pi\)
0.656690 0.754161i \(-0.271956\pi\)
\(930\) 35.3813 0.568403i 1.16020 0.0186387i
\(931\) −26.9399 34.1954i −0.882921 1.12071i
\(932\) −20.5813 10.4867i −0.674162 0.343502i
\(933\) −3.91112 10.1888i −0.128044 0.333567i
\(934\) −7.94774 + 13.7659i −0.260058 + 0.450433i
\(935\) −34.2066 + 35.7674i −1.11867 + 1.16972i
\(936\) −0.698661 + 0.403372i −0.0228364 + 0.0131846i
\(937\) 24.4361 + 3.87030i 0.798293 + 0.126437i 0.542238 0.840225i \(-0.317577\pi\)
0.256055 + 0.966662i \(0.417577\pi\)
\(938\) −1.27421 + 5.15499i −0.0416045 + 0.168316i
\(939\) 30.7648 + 9.99609i 1.00397 + 0.326210i
\(940\) 11.8457 + 2.97096i 0.386365 + 0.0969021i
\(941\) 11.9404 + 26.8186i 0.389246 + 0.874261i 0.996796 + 0.0799796i \(0.0254855\pi\)
−0.607551 + 0.794281i \(0.707848\pi\)
\(942\) 13.9562 + 0.731413i 0.454717 + 0.0238307i
\(943\) 0.111967 + 2.13646i 0.00364615 + 0.0695728i
\(944\) −8.14587 + 5.91832i −0.265126 + 0.192625i
\(945\) −31.9085 5.60549i −1.03798 0.182347i
\(946\) −3.83026 17.4829i −0.124532 0.568418i
\(947\) −32.5421 8.71963i −1.05748 0.283350i −0.312139 0.950037i \(-0.601045\pi\)
−0.745338 + 0.666687i \(0.767712\pi\)
\(948\) 5.69207 + 4.60935i 0.184870 + 0.149705i
\(949\) −0.374222 + 1.76058i −0.0121478 + 0.0571507i
\(950\) 20.3347 + 23.5241i 0.659744 + 0.763223i
\(951\) 15.7125 21.6264i 0.509512 0.701284i
\(952\) −17.4893 2.42189i −0.566832 0.0784939i
\(953\) 13.5699 6.91419i 0.439571 0.223972i −0.220177 0.975460i \(-0.570663\pi\)
0.659747 + 0.751488i \(0.270663\pi\)
\(954\) −0.640339 0.576564i −0.0207318 0.0186670i
\(955\) 1.84074 + 1.97946i 0.0595649 + 0.0640538i
\(956\) −2.89996 + 5.02288i −0.0937914 + 0.162452i
\(957\) 9.52968 + 7.61903i 0.308051 + 0.246288i
\(958\) 24.3459 24.3459i 0.786581 0.786581i
\(959\) −25.5122 + 8.84234i −0.823833 + 0.285534i
\(960\) −0.622482 3.55918i −0.0200905 0.114872i
\(961\) 63.4936 13.4960i 2.04818 0.435354i
\(962\) −13.3571 5.12732i −0.430651 0.165311i
\(963\) −4.98313 1.91285i −0.160579 0.0616406i
\(964\) −22.1222 + 4.70221i −0.712507 + 0.151448i
\(965\) −8.84510 50.5739i −0.284734 1.62803i
\(966\) 1.87372 9.74465i 0.0602858 0.313529i
\(967\) −14.7022 + 14.7022i −0.472790 + 0.472790i −0.902816 0.430026i \(-0.858504\pi\)
0.430026 + 0.902816i \(0.358504\pi\)
\(968\) −7.87462 7.68052i −0.253100 0.246861i
\(969\) 33.5307 58.0770i 1.07716 1.86570i
\(970\) −7.05122 7.58260i −0.226401 0.243463i
\(971\) 4.04531 + 3.64241i 0.129820 + 0.116891i 0.731483 0.681859i \(-0.238828\pi\)
−0.601663 + 0.798750i \(0.705495\pi\)
\(972\) 3.57771 1.82293i 0.114755 0.0584706i
\(973\) −7.01516 + 2.85083i −0.224896 + 0.0913935i
\(974\) −20.3478 + 28.0063i −0.651985 + 0.897381i
\(975\) −16.7140 1.21545i −0.535278 0.0389255i
\(976\) −3.02913 + 14.2509i −0.0969600 + 0.456161i
\(977\) −18.0886 14.6479i −0.578707 0.468627i 0.294720 0.955584i \(-0.404774\pi\)
−0.873426 + 0.486956i \(0.838107\pi\)
\(978\) 25.6175 + 6.86420i 0.819158 + 0.219493i
\(979\) −13.8413 + 31.6174i −0.442369 + 1.01050i
\(980\) 7.06900 13.9653i 0.225811 0.446105i
\(981\) −0.207105 + 0.150470i −0.00661235 + 0.00480415i
\(982\) 1.34386 + 25.6424i 0.0428844 + 0.818282i
\(983\) −45.0347 2.36017i −1.43638 0.0752777i −0.681827 0.731513i \(-0.738814\pi\)
−0.754556 + 0.656235i \(0.772148\pi\)
\(984\) 0.605786 + 1.36062i 0.0193118 + 0.0433749i
\(985\) −2.67601 0.671156i −0.0852648 0.0213848i
\(986\) −14.4493 4.69485i −0.460158 0.149515i
\(987\) 22.6675 + 5.60295i 0.721514 + 0.178344i
\(988\) 12.7405 + 2.01789i 0.405328 + 0.0641977i
\(989\) −10.8473 + 6.26268i −0.344923 + 0.199142i
\(990\) 2.59866 + 1.25189i 0.0825908 + 0.0397876i
\(991\) 14.3744 24.8972i 0.456618 0.790885i −0.542162 0.840274i \(-0.682394\pi\)
0.998780 + 0.0493891i \(0.0157274\pi\)
\(992\) −3.50967 9.14299i −0.111432 0.290290i
\(993\) −11.9020 6.06435i −0.377697 0.192446i
\(994\) −0.667533 1.42400i −0.0211729 0.0451666i
\(995\) 28.5918 0.459329i 0.906421 0.0145617i
\(996\) 2.51538 23.9322i 0.0797027 0.758321i
\(997\) −1.81876 + 34.7041i −0.0576008 + 1.09909i 0.805023 + 0.593243i \(0.202153\pi\)
−0.862624 + 0.505846i \(0.831180\pi\)
\(998\) −0.0949437 0.146201i −0.00300539 0.00462790i
\(999\) 34.5076 + 15.3638i 1.09177 + 0.486088i
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 770.2.bv.a.3.8 768
5.2 odd 4 inner 770.2.bv.a.157.17 yes 768
7.5 odd 6 inner 770.2.bv.a.663.41 yes 768
11.4 even 5 inner 770.2.bv.a.213.17 yes 768
35.12 even 12 inner 770.2.bv.a.47.17 yes 768
55.37 odd 20 inner 770.2.bv.a.367.41 yes 768
77.26 odd 30 inner 770.2.bv.a.103.17 yes 768
385.257 even 60 inner 770.2.bv.a.257.8 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.bv.a.3.8 768 1.1 even 1 trivial
770.2.bv.a.47.17 yes 768 35.12 even 12 inner
770.2.bv.a.103.17 yes 768 77.26 odd 30 inner
770.2.bv.a.157.17 yes 768 5.2 odd 4 inner
770.2.bv.a.213.17 yes 768 11.4 even 5 inner
770.2.bv.a.257.8 yes 768 385.257 even 60 inner
770.2.bv.a.367.41 yes 768 55.37 odd 20 inner
770.2.bv.a.663.41 yes 768 7.5 odd 6 inner