Properties

Label 930.2.bj.a.277.4
Level $930$
Weight $2$
Character 930.277
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(277,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.277");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bj (of order \(20\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 277.4
Character \(\chi\) \(=\) 930.277
Dual form 930.2.bj.a.883.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.426558 + 2.19501i) q^{5} -1.00000i q^{6} +(-0.653972 + 1.28349i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.426558 + 2.19501i) q^{5} -1.00000i q^{6} +(-0.653972 + 1.28349i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.23471 + 0.0779318i) q^{10} +(-2.27101 + 0.737896i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-3.29841 - 0.522417i) q^{13} +(1.36999 + 0.445138i) q^{14} +(-0.764681 + 2.10125i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-1.80712 - 3.54667i) q^{17} +(0.156434 - 0.987688i) q^{18} +(-3.61170 + 4.97108i) q^{19} +(-0.272613 - 2.21939i) q^{20} +(-0.846703 + 1.16539i) q^{21} +(1.08408 + 2.12762i) q^{22} +(0.0678646 - 0.0345787i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-4.63610 - 1.87259i) q^{25} +3.33953i q^{26} +(0.891007 + 0.453990i) q^{27} +(0.225343 - 1.42276i) q^{28} +(0.331128 + 0.240579i) q^{29} +(2.19501 + 0.426558i) q^{30} +(-2.71618 - 4.86028i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.35848 + 0.373547i) q^{33} +(-3.22031 + 2.33969i) q^{34} +(-2.53832 - 1.98296i) q^{35} -1.00000 q^{36} +(-1.64610 + 1.64610i) q^{37} +(5.47487 + 2.78958i) q^{38} +(-3.17608 - 1.03197i) q^{39} +(-2.14942 + 0.616446i) q^{40} +(-5.20119 - 3.77888i) q^{41} +(1.28349 + 0.653972i) q^{42} +(1.14946 + 7.25739i) q^{43} +(1.93184 - 1.40356i) q^{44} +(-1.08397 + 1.95576i) q^{45} +(-0.0447694 - 0.0616198i) q^{46} +(-4.11102 - 0.651122i) q^{47} +(0.891007 - 0.453990i) q^{48} +(2.89482 + 3.98438i) q^{49} +(-1.12429 + 4.87196i) q^{50} +(-1.23005 - 3.78570i) q^{51} +(3.29841 - 0.522417i) q^{52} +(-4.55353 + 2.32014i) q^{53} +(0.309017 - 0.951057i) q^{54} +(-0.650968 - 5.29964i) q^{55} -1.44050 q^{56} +(-4.34488 + 4.34488i) q^{57} +(0.185817 - 0.364686i) q^{58} +(6.79733 + 9.35573i) q^{59} +(0.0779318 - 2.23471i) q^{60} +5.48472i q^{61} +(-4.37554 + 3.44306i) q^{62} +(-1.01859 + 1.01859i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(2.55367 - 7.01719i) q^{65} +(0.737896 + 2.27101i) q^{66} +(7.97535 + 7.97535i) q^{67} +(2.81465 + 2.81465i) q^{68} +(0.0724384 - 0.0235367i) q^{69} +(-1.56146 + 2.81727i) q^{70} +(4.04523 - 12.4499i) q^{71} +(0.156434 + 0.987688i) q^{72} +(0.606106 - 1.18955i) q^{73} +(1.88334 + 1.36832i) q^{74} +(-4.28608 - 2.57478i) q^{75} +(1.89878 - 5.84385i) q^{76} +(0.538094 - 3.39739i) q^{77} +(-0.522417 + 3.29841i) q^{78} +(-3.91406 + 12.0463i) q^{79} +(0.945099 + 2.02652i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-2.91871 + 5.72830i) q^{82} +(-2.53993 - 16.0365i) q^{83} +(0.445138 - 1.36999i) q^{84} +(8.55580 - 2.45377i) q^{85} +(6.98823 - 2.27061i) q^{86} +(0.289417 + 0.289417i) q^{87} +(-1.68849 - 1.68849i) q^{88} +(2.46085 + 7.57373i) q^{89} +(2.10125 + 0.764681i) q^{90} +(2.82759 - 3.89184i) q^{91} +(-0.0538576 + 0.0538576i) q^{92} +(-1.92243 - 5.22535i) q^{93} +4.16226i q^{94} +(-9.37094 - 10.0481i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-4.28558 + 8.41093i) q^{97} +(3.48248 - 3.48248i) q^{98} -2.38788 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156434 0.987688i −0.110616 0.698401i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −0.951057 + 0.309017i −0.475528 + 0.154508i
\(5\) −0.426558 + 2.19501i −0.190763 + 0.981636i
\(6\) 1.00000i 0.408248i
\(7\) −0.653972 + 1.28349i −0.247178 + 0.485114i −0.980945 0.194287i \(-0.937761\pi\)
0.733767 + 0.679402i \(0.237761\pi\)
\(8\) 0.453990 + 0.891007i 0.160510 + 0.315018i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 2.23471 + 0.0779318i 0.706677 + 0.0246442i
\(11\) −2.27101 + 0.737896i −0.684736 + 0.222484i −0.630668 0.776053i \(-0.717219\pi\)
−0.0540682 + 0.998537i \(0.517219\pi\)
\(12\) −0.987688 + 0.156434i −0.285121 + 0.0451587i
\(13\) −3.29841 0.522417i −0.914815 0.144892i −0.318759 0.947836i \(-0.603266\pi\)
−0.596055 + 0.802943i \(0.703266\pi\)
\(14\) 1.36999 + 0.445138i 0.366146 + 0.118968i
\(15\) −0.764681 + 2.10125i −0.197440 + 0.542541i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) −1.80712 3.54667i −0.438291 0.860194i −0.999472 0.0325008i \(-0.989653\pi\)
0.561181 0.827693i \(-0.310347\pi\)
\(18\) 0.156434 0.987688i 0.0368720 0.232800i
\(19\) −3.61170 + 4.97108i −0.828580 + 1.14044i 0.159605 + 0.987181i \(0.448978\pi\)
−0.988186 + 0.153262i \(0.951022\pi\)
\(20\) −0.272613 2.21939i −0.0609582 0.496270i
\(21\) −0.846703 + 1.16539i −0.184766 + 0.254308i
\(22\) 1.08408 + 2.12762i 0.231126 + 0.453610i
\(23\) 0.0678646 0.0345787i 0.0141507 0.00721016i −0.446901 0.894584i \(-0.647472\pi\)
0.461052 + 0.887373i \(0.347472\pi\)
\(24\) 0.309017 + 0.951057i 0.0630778 + 0.194134i
\(25\) −4.63610 1.87259i −0.927219 0.374519i
\(26\) 3.33953i 0.654935i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.225343 1.42276i 0.0425859 0.268877i
\(29\) 0.331128 + 0.240579i 0.0614889 + 0.0446743i 0.618105 0.786095i \(-0.287901\pi\)
−0.556616 + 0.830770i \(0.687901\pi\)
\(30\) 2.19501 + 0.426558i 0.400751 + 0.0778785i
\(31\) −2.71618 4.86028i −0.487841 0.872933i
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −2.35848 + 0.373547i −0.410559 + 0.0650262i
\(34\) −3.22031 + 2.33969i −0.552278 + 0.401254i
\(35\) −2.53832 1.98296i −0.429054 0.335181i
\(36\) −1.00000 −0.166667
\(37\) −1.64610 + 1.64610i −0.270616 + 0.270616i −0.829348 0.558732i \(-0.811288\pi\)
0.558732 + 0.829348i \(0.311288\pi\)
\(38\) 5.47487 + 2.78958i 0.888141 + 0.452530i
\(39\) −3.17608 1.03197i −0.508580 0.165248i
\(40\) −2.14942 + 0.616446i −0.339853 + 0.0974686i
\(41\) −5.20119 3.77888i −0.812289 0.590162i 0.102205 0.994763i \(-0.467410\pi\)
−0.914493 + 0.404601i \(0.867410\pi\)
\(42\) 1.28349 + 0.653972i 0.198047 + 0.100910i
\(43\) 1.14946 + 7.25739i 0.175291 + 1.10674i 0.905758 + 0.423795i \(0.139302\pi\)
−0.730468 + 0.682947i \(0.760698\pi\)
\(44\) 1.93184 1.40356i 0.291236 0.211595i
\(45\) −1.08397 + 1.95576i −0.161589 + 0.291548i
\(46\) −0.0447694 0.0616198i −0.00660088 0.00908534i
\(47\) −4.11102 0.651122i −0.599654 0.0949758i −0.150774 0.988568i \(-0.548177\pi\)
−0.448879 + 0.893592i \(0.648177\pi\)
\(48\) 0.891007 0.453990i 0.128606 0.0655279i
\(49\) 2.89482 + 3.98438i 0.413546 + 0.569198i
\(50\) −1.12429 + 4.87196i −0.158999 + 0.688999i
\(51\) −1.23005 3.78570i −0.172241 0.530104i
\(52\) 3.29841 0.522417i 0.457407 0.0724462i
\(53\) −4.55353 + 2.32014i −0.625476 + 0.318696i −0.737845 0.674971i \(-0.764156\pi\)
0.112369 + 0.993667i \(0.464156\pi\)
\(54\) 0.309017 0.951057i 0.0420519 0.129422i
\(55\) −0.650968 5.29964i −0.0877766 0.714603i
\(56\) −1.44050 −0.192494
\(57\) −4.34488 + 4.34488i −0.575493 + 0.575493i
\(58\) 0.185817 0.364686i 0.0243990 0.0478856i
\(59\) 6.79733 + 9.35573i 0.884937 + 1.21801i 0.975029 + 0.222078i \(0.0712840\pi\)
−0.0900916 + 0.995933i \(0.528716\pi\)
\(60\) 0.0779318 2.23471i 0.0100610 0.288500i
\(61\) 5.48472i 0.702246i 0.936329 + 0.351123i \(0.114200\pi\)
−0.936329 + 0.351123i \(0.885800\pi\)
\(62\) −4.37554 + 3.44306i −0.555694 + 0.437269i
\(63\) −1.01859 + 1.01859i −0.128330 + 0.128330i
\(64\) −0.587785 + 0.809017i −0.0734732 + 0.101127i
\(65\) 2.55367 7.01719i 0.316744 0.870375i
\(66\) 0.737896 + 2.27101i 0.0908288 + 0.279542i
\(67\) 7.97535 + 7.97535i 0.974344 + 0.974344i 0.999679 0.0253352i \(-0.00806530\pi\)
−0.0253352 + 0.999679i \(0.508065\pi\)
\(68\) 2.81465 + 2.81465i 0.341327 + 0.341327i
\(69\) 0.0724384 0.0235367i 0.00872055 0.00283348i
\(70\) −1.56146 + 2.81727i −0.186630 + 0.336728i
\(71\) 4.04523 12.4499i 0.480081 1.47754i −0.358900 0.933376i \(-0.616848\pi\)
0.838981 0.544161i \(-0.183152\pi\)
\(72\) 0.156434 + 0.987688i 0.0184360 + 0.116400i
\(73\) 0.606106 1.18955i 0.0709393 0.139226i −0.852813 0.522216i \(-0.825106\pi\)
0.923753 + 0.382990i \(0.125106\pi\)
\(74\) 1.88334 + 1.36832i 0.218933 + 0.159064i
\(75\) −4.28608 2.57478i −0.494914 0.297311i
\(76\) 1.89878 5.84385i 0.217805 0.670336i
\(77\) 0.538094 3.39739i 0.0613215 0.387168i
\(78\) −0.522417 + 3.29841i −0.0591521 + 0.373472i
\(79\) −3.91406 + 12.0463i −0.440367 + 1.35531i 0.447119 + 0.894474i \(0.352450\pi\)
−0.887486 + 0.460835i \(0.847550\pi\)
\(80\) 0.945099 + 2.02652i 0.105665 + 0.226572i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −2.91871 + 5.72830i −0.322318 + 0.632585i
\(83\) −2.53993 16.0365i −0.278794 1.76024i −0.587639 0.809123i \(-0.699943\pi\)
0.308845 0.951112i \(-0.400057\pi\)
\(84\) 0.445138 1.36999i 0.0485685 0.149479i
\(85\) 8.55580 2.45377i 0.928007 0.266149i
\(86\) 6.98823 2.27061i 0.753560 0.244846i
\(87\) 0.289417 + 0.289417i 0.0310287 + 0.0310287i
\(88\) −1.68849 1.68849i −0.179993 0.179993i
\(89\) 2.46085 + 7.57373i 0.260850 + 0.802814i 0.992620 + 0.121263i \(0.0386943\pi\)
−0.731770 + 0.681551i \(0.761306\pi\)
\(90\) 2.10125 + 0.764681i 0.221491 + 0.0806044i
\(91\) 2.82759 3.89184i 0.296412 0.407976i
\(92\) −0.0538576 + 0.0538576i −0.00561505 + 0.00561505i
\(93\) −1.92243 5.22535i −0.199346 0.541844i
\(94\) 4.16226i 0.429305i
\(95\) −9.37094 10.0481i −0.961438 1.03092i
\(96\) −0.587785 0.809017i −0.0599906 0.0825700i
\(97\) −4.28558 + 8.41093i −0.435135 + 0.854000i 0.564458 + 0.825462i \(0.309085\pi\)
−0.999593 + 0.0285383i \(0.990915\pi\)
\(98\) 3.48248 3.48248i 0.351783 0.351783i
\(99\) −2.38788 −0.239991
\(100\) 4.98785 + 0.348310i 0.498785 + 0.0348310i
\(101\) −2.69032 + 8.27996i −0.267697 + 0.823887i 0.723363 + 0.690468i \(0.242595\pi\)
−0.991060 + 0.133419i \(0.957405\pi\)
\(102\) −3.54667 + 1.80712i −0.351173 + 0.178931i
\(103\) 12.9255 2.04720i 1.27359 0.201717i 0.517216 0.855855i \(-0.326968\pi\)
0.756375 + 0.654138i \(0.226968\pi\)
\(104\) −1.03197 3.17608i −0.101193 0.311440i
\(105\) −2.19686 2.35562i −0.214392 0.229885i
\(106\) 3.00391 + 4.13452i 0.291765 + 0.401580i
\(107\) 16.3061 8.30839i 1.57637 0.803202i 0.576469 0.817119i \(-0.304430\pi\)
0.999903 + 0.0139169i \(0.00443003\pi\)
\(108\) −0.987688 0.156434i −0.0950404 0.0150529i
\(109\) 5.39553 + 7.42631i 0.516798 + 0.711312i 0.985047 0.172285i \(-0.0551150\pi\)
−0.468249 + 0.883597i \(0.655115\pi\)
\(110\) −5.13256 + 1.47200i −0.489370 + 0.140350i
\(111\) −1.88334 + 1.36832i −0.178758 + 0.129876i
\(112\) 0.225343 + 1.42276i 0.0212929 + 0.134438i
\(113\) 3.08790 + 1.57336i 0.290485 + 0.148010i 0.593161 0.805084i \(-0.297880\pi\)
−0.302675 + 0.953094i \(0.597880\pi\)
\(114\) 4.97108 + 3.61170i 0.465584 + 0.338266i
\(115\) 0.0469523 + 0.163713i 0.00437833 + 0.0152663i
\(116\) −0.389264 0.126480i −0.0361423 0.0117433i
\(117\) −2.97554 1.51611i −0.275089 0.140165i
\(118\) 8.17720 8.17720i 0.752773 0.752773i
\(119\) 5.73393 0.525628
\(120\) −2.21939 + 0.272613i −0.202601 + 0.0248861i
\(121\) −4.28618 + 3.11410i −0.389653 + 0.283100i
\(122\) 5.41719 0.857999i 0.490449 0.0776795i
\(123\) −4.54600 4.54600i −0.409899 0.409899i
\(124\) 4.08515 + 3.78306i 0.366858 + 0.339729i
\(125\) 6.08792 9.37749i 0.544520 0.838748i
\(126\) 1.16539 + 0.846703i 0.103821 + 0.0754303i
\(127\) 0.802457 5.06651i 0.0712065 0.449580i −0.926165 0.377119i \(-0.876915\pi\)
0.997371 0.0724611i \(-0.0230853\pi\)
\(128\) 0.891007 + 0.453990i 0.0787546 + 0.0401275i
\(129\) 7.34786i 0.646943i
\(130\) −7.33028 1.42450i −0.642908 0.124937i
\(131\) 1.80084 + 5.54242i 0.157340 + 0.484243i 0.998390 0.0567137i \(-0.0180622\pi\)
−0.841050 + 0.540957i \(0.818062\pi\)
\(132\) 2.12762 1.08408i 0.185185 0.0943567i
\(133\) −4.01839 7.88653i −0.348438 0.683849i
\(134\) 6.62954 9.12478i 0.572705 0.788261i
\(135\) −1.37658 + 1.76211i −0.118477 + 0.151658i
\(136\) 2.33969 3.22031i 0.200627 0.276139i
\(137\) −0.295228 + 1.86400i −0.0252231 + 0.159252i −0.997085 0.0762992i \(-0.975690\pi\)
0.971862 + 0.235551i \(0.0756896\pi\)
\(138\) −0.0345787 0.0678646i −0.00294354 0.00577702i
\(139\) −4.81845 + 3.50081i −0.408695 + 0.296935i −0.773073 0.634317i \(-0.781282\pi\)
0.364378 + 0.931251i \(0.381282\pi\)
\(140\) 3.02685 + 1.10152i 0.255815 + 0.0930955i
\(141\) −3.95855 1.28621i −0.333370 0.108318i
\(142\) −12.9295 2.04783i −1.08502 0.171850i
\(143\) 7.87622 1.24747i 0.658643 0.104319i
\(144\) 0.951057 0.309017i 0.0792547 0.0257514i
\(145\) −0.669317 + 0.624207i −0.0555837 + 0.0518376i
\(146\) −1.26972 0.412557i −0.105083 0.0341435i
\(147\) 2.23589 + 4.38818i 0.184413 + 0.361931i
\(148\) 1.05686 2.07420i 0.0868732 0.170498i
\(149\) 13.1333i 1.07592i 0.842970 + 0.537961i \(0.180805\pi\)
−0.842970 + 0.537961i \(0.819195\pi\)
\(150\) −1.87259 + 4.63610i −0.152897 + 0.378536i
\(151\) −16.7888 + 5.45501i −1.36625 + 0.443922i −0.898125 0.439739i \(-0.855071\pi\)
−0.468127 + 0.883661i \(0.655071\pi\)
\(152\) −6.06894 0.961225i −0.492256 0.0779657i
\(153\) −0.622691 3.93151i −0.0503416 0.317844i
\(154\) −3.43974 −0.277182
\(155\) 11.8270 3.88884i 0.949964 0.312359i
\(156\) 3.33953 0.267376
\(157\) −1.52233 9.61164i −0.121495 0.767092i −0.970924 0.239388i \(-0.923053\pi\)
0.849428 0.527704i \(-0.176947\pi\)
\(158\) 12.5102 + 1.98143i 0.995261 + 0.157634i
\(159\) −4.86042 + 1.57925i −0.385457 + 0.125242i
\(160\) 1.85373 1.25048i 0.146550 0.0988592i
\(161\) 0.109717i 0.00864692i
\(162\) 0.453990 0.891007i 0.0356689 0.0700041i
\(163\) 7.43683 + 14.5956i 0.582497 + 1.14321i 0.974738 + 0.223352i \(0.0717001\pi\)
−0.392241 + 0.919863i \(0.628300\pi\)
\(164\) 6.11436 + 1.98668i 0.477451 + 0.155133i
\(165\) 0.186092 5.33622i 0.0144873 0.415425i
\(166\) −15.4417 + 5.01732i −1.19851 + 0.389420i
\(167\) −9.44934 + 1.49663i −0.731212 + 0.115813i −0.510928 0.859623i \(-0.670698\pi\)
−0.220284 + 0.975436i \(0.570698\pi\)
\(168\) −1.42276 0.225343i −0.109768 0.0173856i
\(169\) −1.75713 0.570928i −0.135164 0.0439175i
\(170\) −3.76199 8.06661i −0.288531 0.618681i
\(171\) −4.97108 + 3.61170i −0.380148 + 0.276193i
\(172\) −3.33586 6.54699i −0.254357 0.499203i
\(173\) 2.04450 12.9084i 0.155440 0.981411i −0.779448 0.626467i \(-0.784500\pi\)
0.934888 0.354943i \(-0.115500\pi\)
\(174\) 0.240579 0.331128i 0.0182382 0.0251028i
\(175\) 5.43534 4.72577i 0.410873 0.357235i
\(176\) −1.40356 + 1.93184i −0.105797 + 0.145618i
\(177\) 5.25009 + 10.3039i 0.394621 + 0.774487i
\(178\) 7.09552 3.61535i 0.531832 0.270982i
\(179\) −5.19594 15.9915i −0.388363 1.19526i −0.934011 0.357244i \(-0.883716\pi\)
0.545648 0.838015i \(-0.316284\pi\)
\(180\) 0.426558 2.19501i 0.0317938 0.163606i
\(181\) 1.41750i 0.105362i −0.998611 0.0526810i \(-0.983223\pi\)
0.998611 0.0526810i \(-0.0167766\pi\)
\(182\) −4.28626 2.18396i −0.317718 0.161886i
\(183\) −0.857999 + 5.41719i −0.0634251 + 0.400450i
\(184\) 0.0616198 + 0.0447694i 0.00454267 + 0.00330044i
\(185\) −2.91103 4.31534i −0.214023 0.317270i
\(186\) −4.86028 + 2.71618i −0.356373 + 0.199160i
\(187\) 6.72106 + 6.72106i 0.491493 + 0.491493i
\(188\) 4.11102 0.651122i 0.299827 0.0474879i
\(189\) −1.16539 + 0.846703i −0.0847694 + 0.0615886i
\(190\) −8.45850 + 10.8274i −0.613644 + 0.785505i
\(191\) −9.84643 −0.712462 −0.356231 0.934398i \(-0.615938\pi\)
−0.356231 + 0.934398i \(0.615938\pi\)
\(192\) −0.707107 + 0.707107i −0.0510310 + 0.0510310i
\(193\) −1.08356 0.552100i −0.0779961 0.0397410i 0.414557 0.910023i \(-0.363936\pi\)
−0.492553 + 0.870282i \(0.663936\pi\)
\(194\) 8.97779 + 2.91706i 0.644568 + 0.209433i
\(195\) 3.61996 6.53131i 0.259231 0.467717i
\(196\) −3.98438 2.89482i −0.284599 0.206773i
\(197\) −8.95156 4.56105i −0.637772 0.324961i 0.105033 0.994469i \(-0.466505\pi\)
−0.742805 + 0.669508i \(0.766505\pi\)
\(198\) 0.373547 + 2.35848i 0.0265468 + 0.167610i
\(199\) −0.0824729 + 0.0599201i −0.00584635 + 0.00424762i −0.590705 0.806888i \(-0.701150\pi\)
0.584858 + 0.811136i \(0.301150\pi\)
\(200\) −0.436250 4.98093i −0.0308476 0.352205i
\(201\) 6.62954 + 9.12478i 0.467612 + 0.643612i
\(202\) 8.59888 + 1.36193i 0.605015 + 0.0958250i
\(203\) −0.525329 + 0.267669i −0.0368709 + 0.0187867i
\(204\) 2.33969 + 3.22031i 0.163811 + 0.225467i
\(205\) 10.5133 9.80472i 0.734279 0.684791i
\(206\) −4.04400 12.4462i −0.281759 0.867164i
\(207\) 0.0752285 0.0119150i 0.00522874 0.000828151i
\(208\) −2.97554 + 1.51611i −0.206317 + 0.105124i
\(209\) 4.53407 13.9544i 0.313628 0.965248i
\(210\) −1.98296 + 2.53832i −0.136837 + 0.175160i
\(211\) 19.4738 1.34063 0.670316 0.742076i \(-0.266159\pi\)
0.670316 + 0.742076i \(0.266159\pi\)
\(212\) 3.61370 3.61370i 0.248190 0.248190i
\(213\) 5.94303 11.6638i 0.407210 0.799194i
\(214\) −10.7569 14.8057i −0.735329 1.01209i
\(215\) −16.4203 0.572632i −1.11986 0.0390532i
\(216\) 1.00000i 0.0680414i
\(217\) 8.01444 0.307710i 0.544056 0.0208887i
\(218\) 6.49083 6.49083i 0.439615 0.439615i
\(219\) 0.784730 1.08009i 0.0530271 0.0729856i
\(220\) 2.25679 + 4.83909i 0.152152 + 0.326252i
\(221\) 4.10778 + 12.6424i 0.276319 + 0.850423i
\(222\) 1.64610 + 1.64610i 0.110479 + 0.110479i
\(223\) 0.370450 + 0.370450i 0.0248071 + 0.0248071i 0.719402 0.694594i \(-0.244416\pi\)
−0.694594 + 0.719402i \(0.744416\pi\)
\(224\) 1.36999 0.445138i 0.0915366 0.0297420i
\(225\) −3.83053 3.21358i −0.255368 0.214238i
\(226\) 1.07094 3.29601i 0.0712378 0.219248i
\(227\) −1.36732 8.63293i −0.0907523 0.572987i −0.990601 0.136785i \(-0.956323\pi\)
0.899848 0.436203i \(-0.143677\pi\)
\(228\) 2.78958 5.47487i 0.184745 0.362582i
\(229\) −15.7384 11.4347i −1.04003 0.755623i −0.0697354 0.997566i \(-0.522215\pi\)
−0.970291 + 0.241942i \(0.922215\pi\)
\(230\) 0.154352 0.0719846i 0.0101777 0.00474652i
\(231\) 1.06294 3.27139i 0.0699361 0.215241i
\(232\) −0.0640281 + 0.404258i −0.00420365 + 0.0265408i
\(233\) 1.62620 10.2674i 0.106536 0.672642i −0.875396 0.483407i \(-0.839399\pi\)
0.981932 0.189235i \(-0.0606009\pi\)
\(234\) −1.03197 + 3.17608i −0.0674620 + 0.207627i
\(235\) 3.18280 8.74597i 0.207623 0.570524i
\(236\) −9.35573 6.79733i −0.609006 0.442469i
\(237\) −5.75032 + 11.2856i −0.373524 + 0.733082i
\(238\) −0.896984 5.66333i −0.0581428 0.367099i
\(239\) −3.51352 + 10.8135i −0.227271 + 0.699467i 0.770783 + 0.637098i \(0.219865\pi\)
−0.998053 + 0.0623688i \(0.980135\pi\)
\(240\) 0.616446 + 2.14942i 0.0397914 + 0.138744i
\(241\) −17.6290 + 5.72800i −1.13558 + 0.368973i −0.815695 0.578483i \(-0.803645\pi\)
−0.319887 + 0.947456i \(0.603645\pi\)
\(242\) 3.74626 + 3.74626i 0.240819 + 0.240819i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −1.69487 5.21627i −0.108503 0.333938i
\(245\) −9.98055 + 4.65458i −0.637634 + 0.297370i
\(246\) −3.77888 + 5.20119i −0.240933 + 0.331615i
\(247\) 14.5098 14.5098i 0.923239 0.923239i
\(248\) 3.09742 4.62666i 0.196687 0.293793i
\(249\) 16.2364i 1.02894i
\(250\) −10.2144 4.54600i −0.646015 0.287514i
\(251\) 11.0472 + 15.2051i 0.697292 + 0.959740i 0.999978 + 0.00664933i \(0.00211656\pi\)
−0.302686 + 0.953090i \(0.597883\pi\)
\(252\) 0.653972 1.28349i 0.0411964 0.0808524i
\(253\) −0.128606 + 0.128606i −0.00808537 + 0.00808537i
\(254\) −5.12967 −0.321864
\(255\) 8.83432 1.08514i 0.553227 0.0679543i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 22.4360 11.4317i 1.39952 0.713091i 0.418722 0.908115i \(-0.362478\pi\)
0.980799 + 0.195024i \(0.0624783\pi\)
\(258\) 7.25739 1.14946i 0.451826 0.0715621i
\(259\) −1.03625 3.18925i −0.0643895 0.198170i
\(260\) −0.260255 + 7.46287i −0.0161404 + 0.462828i
\(261\) 0.240579 + 0.331128i 0.0148914 + 0.0204963i
\(262\) 5.19247 2.64569i 0.320792 0.163452i
\(263\) 6.05456 + 0.958947i 0.373340 + 0.0591312i 0.340285 0.940322i \(-0.389476\pi\)
0.0330548 + 0.999454i \(0.489476\pi\)
\(264\) −1.40356 1.93184i −0.0863833 0.118896i
\(265\) −3.15038 10.9847i −0.193526 0.674785i
\(266\) −7.16082 + 5.20264i −0.439058 + 0.318994i
\(267\) 1.24576 + 7.86545i 0.0762395 + 0.481358i
\(268\) −10.0495 5.12049i −0.613872 0.312784i
\(269\) −14.5448 10.5674i −0.886810 0.644305i 0.0482346 0.998836i \(-0.484640\pi\)
−0.935044 + 0.354531i \(0.884640\pi\)
\(270\) 1.95576 + 1.08397i 0.119024 + 0.0659686i
\(271\) 10.4131 + 3.38342i 0.632550 + 0.205528i 0.607704 0.794163i \(-0.292091\pi\)
0.0248458 + 0.999691i \(0.492091\pi\)
\(272\) −3.54667 1.80712i −0.215048 0.109573i
\(273\) 3.40159 3.40159i 0.205874 0.205874i
\(274\) 1.88723 0.114012
\(275\) 11.9104 + 0.831724i 0.718225 + 0.0501548i
\(276\) −0.0616198 + 0.0447694i −0.00370907 + 0.00269480i
\(277\) −17.8433 + 2.82610i −1.07210 + 0.169804i −0.667440 0.744664i \(-0.732610\pi\)
−0.404659 + 0.914468i \(0.632610\pi\)
\(278\) 4.21148 + 4.21148i 0.252588 + 0.252588i
\(279\) −1.08133 5.46175i −0.0647377 0.326986i
\(280\) 0.614455 3.16190i 0.0367207 0.188960i
\(281\) 10.9959 + 7.98902i 0.655963 + 0.476585i 0.865297 0.501259i \(-0.167130\pi\)
−0.209334 + 0.977844i \(0.567130\pi\)
\(282\) −0.651122 + 4.11102i −0.0387737 + 0.244808i
\(283\) 7.99942 + 4.07591i 0.475516 + 0.242288i 0.675287 0.737555i \(-0.264020\pi\)
−0.199771 + 0.979843i \(0.564020\pi\)
\(284\) 13.0906i 0.776787i
\(285\) −7.68369 11.3904i −0.455143 0.674708i
\(286\) −2.46422 7.58410i −0.145713 0.448457i
\(287\) 8.25159 4.20440i 0.487076 0.248178i
\(288\) −0.453990 0.891007i −0.0267516 0.0525031i
\(289\) 0.679158 0.934781i 0.0399505 0.0549871i
\(290\) 0.721226 + 0.563429i 0.0423519 + 0.0330857i
\(291\) −5.54858 + 7.63696i −0.325263 + 0.447687i
\(292\) −0.208850 + 1.31863i −0.0122220 + 0.0771667i
\(293\) −3.44636 6.76385i −0.201338 0.395148i 0.768156 0.640263i \(-0.221175\pi\)
−0.969494 + 0.245114i \(0.921175\pi\)
\(294\) 3.98438 2.89482i 0.232374 0.168830i
\(295\) −23.4353 + 10.9294i −1.36446 + 0.636336i
\(296\) −2.21399 0.719370i −0.128686 0.0418125i
\(297\) −2.35848 0.373547i −0.136853 0.0216754i
\(298\) 12.9716 2.05450i 0.751425 0.119014i
\(299\) −0.241910 + 0.0786013i −0.0139900 + 0.00454563i
\(300\) 4.87196 + 1.12429i 0.281283 + 0.0649111i
\(301\) −10.0665 3.27081i −0.580225 0.188526i
\(302\) 8.01419 + 15.7287i 0.461165 + 0.905087i
\(303\) −3.95247 + 7.75716i −0.227064 + 0.445637i
\(304\) 6.14459i 0.352416i
\(305\) −12.0390 2.33955i −0.689350 0.133962i
\(306\) −3.78570 + 1.23005i −0.216414 + 0.0703172i
\(307\) 3.53441 + 0.559795i 0.201719 + 0.0319492i 0.256476 0.966551i \(-0.417438\pi\)
−0.0547571 + 0.998500i \(0.517438\pi\)
\(308\) 0.538094 + 3.39739i 0.0306607 + 0.193584i
\(309\) 13.0867 0.744474
\(310\) −5.69111 11.0730i −0.323233 0.628904i
\(311\) −0.587279 −0.0333015 −0.0166508 0.999861i \(-0.505300\pi\)
−0.0166508 + 0.999861i \(0.505300\pi\)
\(312\) −0.522417 3.29841i −0.0295760 0.186736i
\(313\) −10.7015 1.69496i −0.604887 0.0958047i −0.153524 0.988145i \(-0.549062\pi\)
−0.451363 + 0.892340i \(0.649062\pi\)
\(314\) −9.25516 + 3.00718i −0.522299 + 0.169705i
\(315\) −1.80131 2.67029i −0.101493 0.150454i
\(316\) 12.6662i 0.712528i
\(317\) −11.9767 + 23.5055i −0.672677 + 1.32020i 0.262125 + 0.965034i \(0.415577\pi\)
−0.934802 + 0.355169i \(0.884423\pi\)
\(318\) 2.32014 + 4.55353i 0.130107 + 0.255349i
\(319\) −0.929518 0.302019i −0.0520430 0.0169098i
\(320\) −1.52507 1.63528i −0.0852541 0.0914152i
\(321\) 17.4051 5.65526i 0.971457 0.315646i
\(322\) 0.108366 0.0171635i 0.00603902 0.000956487i
\(323\) 24.1575 + 3.82618i 1.34416 + 0.212894i
\(324\) −0.951057 0.309017i −0.0528365 0.0171676i
\(325\) 14.3135 + 8.59856i 0.793969 + 0.476962i
\(326\) 13.2525 9.62852i 0.733989 0.533274i
\(327\) 4.16737 + 8.17893i 0.230456 + 0.452296i
\(328\) 1.00572 6.34987i 0.0555316 0.350613i
\(329\) 3.52420 4.85065i 0.194295 0.267425i
\(330\) −5.29964 + 0.650968i −0.291735 + 0.0358346i
\(331\) 18.3701 25.2843i 1.00971 1.38975i 0.0905409 0.995893i \(-0.471140\pi\)
0.919172 0.393857i \(-0.128860\pi\)
\(332\) 7.37117 + 14.4667i 0.404546 + 0.793966i
\(333\) −2.07420 + 1.05686i −0.113666 + 0.0579155i
\(334\) 2.95640 + 9.09888i 0.161767 + 0.497868i
\(335\) −20.9079 + 14.1040i −1.14232 + 0.770583i
\(336\) 1.44050i 0.0785855i
\(337\) −6.11810 3.11733i −0.333274 0.169812i 0.279343 0.960191i \(-0.409883\pi\)
−0.612617 + 0.790380i \(0.709883\pi\)
\(338\) −0.289022 + 1.82481i −0.0157207 + 0.0992568i
\(339\) 2.80376 + 2.03705i 0.152279 + 0.110637i
\(340\) −7.37879 + 4.97757i −0.400171 + 0.269946i
\(341\) 9.75487 + 9.03350i 0.528256 + 0.489191i
\(342\) 4.34488 + 4.34488i 0.234944 + 0.234944i
\(343\) −16.9664 + 2.68721i −0.916099 + 0.145096i
\(344\) −5.94454 + 4.31896i −0.320508 + 0.232863i
\(345\) 0.0207639 + 0.169042i 0.00111789 + 0.00910093i
\(346\) −13.0693 −0.702612
\(347\) 6.37726 6.37726i 0.342349 0.342349i −0.514901 0.857250i \(-0.672171\pi\)
0.857250 + 0.514901i \(0.172171\pi\)
\(348\) −0.364686 0.185817i −0.0195492 0.00996083i
\(349\) 1.82361 + 0.592527i 0.0976156 + 0.0317172i 0.357418 0.933945i \(-0.383657\pi\)
−0.259802 + 0.965662i \(0.583657\pi\)
\(350\) −5.51786 4.62915i −0.294942 0.247438i
\(351\) −2.70173 1.96292i −0.144208 0.104773i
\(352\) 2.12762 + 1.08408i 0.113402 + 0.0577815i
\(353\) 2.73929 + 17.2952i 0.145797 + 0.920529i 0.946789 + 0.321854i \(0.104306\pi\)
−0.800992 + 0.598675i \(0.795694\pi\)
\(354\) 9.35573 6.79733i 0.497251 0.361274i
\(355\) 25.6022 + 14.1899i 1.35882 + 0.753123i
\(356\) −4.68082 6.44260i −0.248083 0.341457i
\(357\) 5.66333 + 0.896984i 0.299735 + 0.0474734i
\(358\) −14.9818 + 7.63359i −0.791811 + 0.403448i
\(359\) 4.42727 + 6.09362i 0.233662 + 0.321609i 0.909706 0.415253i \(-0.136307\pi\)
−0.676044 + 0.736862i \(0.736307\pi\)
\(360\) −2.23471 0.0779318i −0.117780 0.00410737i
\(361\) −5.79591 17.8380i −0.305048 0.938841i
\(362\) −1.40005 + 0.221746i −0.0735849 + 0.0116547i
\(363\) −4.72057 + 2.40525i −0.247765 + 0.126243i
\(364\) −1.48655 + 4.57513i −0.0779164 + 0.239802i
\(365\) 2.35253 + 1.83782i 0.123137 + 0.0961957i
\(366\) 5.48472 0.286691
\(367\) 24.3745 24.3745i 1.27234 1.27234i 0.327481 0.944858i \(-0.393800\pi\)
0.944858 0.327481i \(-0.106200\pi\)
\(368\) 0.0345787 0.0678646i 0.00180254 0.00353769i
\(369\) −3.77888 5.20119i −0.196721 0.270763i
\(370\) −3.80683 + 3.55026i −0.197908 + 0.184569i
\(371\) 7.36173i 0.382202i
\(372\) 3.44306 + 4.37554i 0.178514 + 0.226861i
\(373\) 15.1089 15.1089i 0.782309 0.782309i −0.197911 0.980220i \(-0.563416\pi\)
0.980220 + 0.197911i \(0.0634158\pi\)
\(374\) 5.58691 7.68972i 0.288892 0.397626i
\(375\) 7.47993 8.30967i 0.386262 0.429110i
\(376\) −1.28621 3.95855i −0.0663312 0.204147i
\(377\) −0.966514 0.966514i −0.0497780 0.0497780i
\(378\) 1.01859 + 1.01859i 0.0523904 + 0.0523904i
\(379\) −12.6766 + 4.11886i −0.651151 + 0.211572i −0.615922 0.787807i \(-0.711216\pi\)
−0.0352295 + 0.999379i \(0.511216\pi\)
\(380\) 12.0173 + 6.66058i 0.616477 + 0.341680i
\(381\) 1.58515 4.87860i 0.0812099 0.249938i
\(382\) 1.54032 + 9.72520i 0.0788096 + 0.497585i
\(383\) 14.5034 28.4644i 0.741087 1.45447i −0.144263 0.989539i \(-0.546081\pi\)
0.885350 0.464926i \(-0.153919\pi\)
\(384\) 0.809017 + 0.587785i 0.0412850 + 0.0299953i
\(385\) 7.22776 + 2.63030i 0.368361 + 0.134053i
\(386\) −0.375797 + 1.15658i −0.0191276 + 0.0588686i
\(387\) −1.14946 + 7.25739i −0.0584302 + 0.368914i
\(388\) 1.47671 9.32358i 0.0749686 0.473333i
\(389\) −10.6274 + 32.7077i −0.538829 + 1.65835i 0.196398 + 0.980524i \(0.437076\pi\)
−0.735227 + 0.677821i \(0.762924\pi\)
\(390\) −7.01719 2.55367i −0.355329 0.129310i
\(391\) −0.245279 0.178205i −0.0124043 0.00901224i
\(392\) −2.23589 + 4.38818i −0.112929 + 0.221637i
\(393\) 0.911644 + 5.75589i 0.0459864 + 0.290346i
\(394\) −3.10456 + 9.55486i −0.156406 + 0.481367i
\(395\) −24.7720 13.7298i −1.24642 0.690822i
\(396\) 2.27101 0.737896i 0.114123 0.0370807i
\(397\) −15.9248 15.9248i −0.799244 0.799244i 0.183733 0.982976i \(-0.441182\pi\)
−0.982976 + 0.183733i \(0.941182\pi\)
\(398\) 0.0720840 + 0.0720840i 0.00361324 + 0.00361324i
\(399\) −2.73519 8.41805i −0.136931 0.421429i
\(400\) −4.85136 + 1.21007i −0.242568 + 0.0605034i
\(401\) −4.98580 + 6.86237i −0.248979 + 0.342690i −0.915153 0.403106i \(-0.867931\pi\)
0.666174 + 0.745796i \(0.267931\pi\)
\(402\) 7.97535 7.97535i 0.397774 0.397774i
\(403\) 6.41999 + 17.4502i 0.319803 + 0.869256i
\(404\) 8.70606i 0.433143i
\(405\) −1.63528 + 1.52507i −0.0812579 + 0.0757814i
\(406\) 0.346553 + 0.476989i 0.0171991 + 0.0236726i
\(407\) 2.52365 4.95295i 0.125093 0.245509i
\(408\) 2.81465 2.81465i 0.139346 0.139346i
\(409\) −11.6346 −0.575295 −0.287648 0.957736i \(-0.592873\pi\)
−0.287648 + 0.957736i \(0.592873\pi\)
\(410\) −11.3286 8.85004i −0.559482 0.437072i
\(411\) −0.583187 + 1.79487i −0.0287665 + 0.0885342i
\(412\) −11.6603 + 5.94122i −0.574462 + 0.292703i
\(413\) −16.4533 + 2.60594i −0.809612 + 0.128230i
\(414\) −0.0235367 0.0724384i −0.00115676 0.00356015i
\(415\) 36.2836 + 1.26533i 1.78109 + 0.0621127i
\(416\) 1.96292 + 2.70173i 0.0962403 + 0.132463i
\(417\) −5.30677 + 2.70393i −0.259874 + 0.132412i
\(418\) −14.4919 2.29529i −0.708823 0.112266i
\(419\) 11.5127 + 15.8459i 0.562434 + 0.774123i 0.991633 0.129086i \(-0.0412044\pi\)
−0.429200 + 0.903210i \(0.641204\pi\)
\(420\) 2.81727 + 1.56146i 0.137469 + 0.0761916i
\(421\) −24.0424 + 17.4678i −1.17175 + 0.851329i −0.991218 0.132239i \(-0.957783\pi\)
−0.180536 + 0.983568i \(0.557783\pi\)
\(422\) −3.04637 19.2340i −0.148295 0.936299i
\(423\) −3.70860 1.88963i −0.180319 0.0918769i
\(424\) −4.13452 3.00391i −0.200790 0.145883i
\(425\) 1.73650 + 19.8267i 0.0842328 + 0.961736i
\(426\) −12.4499 4.04523i −0.603202 0.195992i
\(427\) −7.03959 3.58685i −0.340670 0.173580i
\(428\) −12.9406 + 12.9406i −0.625508 + 0.625508i
\(429\) 7.97440 0.385008
\(430\) 2.00312 + 16.3077i 0.0965992 + 0.786429i
\(431\) −8.15533 + 5.92520i −0.392829 + 0.285407i −0.766614 0.642109i \(-0.778060\pi\)
0.373785 + 0.927515i \(0.378060\pi\)
\(432\) 0.987688 0.156434i 0.0475202 0.00752646i
\(433\) 27.9214 + 27.9214i 1.34182 + 1.34182i 0.894251 + 0.447566i \(0.147709\pi\)
0.447566 + 0.894251i \(0.352291\pi\)
\(434\) −1.55766 7.86763i −0.0747699 0.377659i
\(435\) −0.758724 + 0.511818i −0.0363780 + 0.0245398i
\(436\) −7.42631 5.39553i −0.355656 0.258399i
\(437\) −0.0732129 + 0.462248i −0.00350225 + 0.0221123i
\(438\) −1.18955 0.606106i −0.0568389 0.0289609i
\(439\) 39.1976i 1.87080i 0.353592 + 0.935400i \(0.384960\pi\)
−0.353592 + 0.935400i \(0.615040\pi\)
\(440\) 4.42648 2.98600i 0.211024 0.142352i
\(441\) 1.52190 + 4.68392i 0.0724714 + 0.223044i
\(442\) 11.8442 6.03492i 0.563371 0.287052i
\(443\) −3.65073 7.16496i −0.173451 0.340417i 0.787872 0.615839i \(-0.211183\pi\)
−0.961324 + 0.275421i \(0.911183\pi\)
\(444\) 1.36832 1.88334i 0.0649378 0.0893791i
\(445\) −17.6741 + 2.17095i −0.837831 + 0.102913i
\(446\) 0.307938 0.423840i 0.0145813 0.0200694i
\(447\) −2.05450 + 12.9716i −0.0971745 + 0.613536i
\(448\) −0.653972 1.28349i −0.0308973 0.0606393i
\(449\) −23.1125 + 16.7922i −1.09074 + 0.792472i −0.979525 0.201324i \(-0.935476\pi\)
−0.111219 + 0.993796i \(0.535476\pi\)
\(450\) −2.57478 + 4.28608i −0.121377 + 0.202048i
\(451\) 14.6004 + 4.74395i 0.687505 + 0.223384i
\(452\) −3.42297 0.542145i −0.161003 0.0255003i
\(453\) −17.4354 + 2.76150i −0.819188 + 0.129747i
\(454\) −8.31274 + 2.70097i −0.390136 + 0.126763i
\(455\) 7.33648 + 7.86666i 0.343939 + 0.368795i
\(456\) −5.84385 1.89878i −0.273663 0.0889186i
\(457\) 5.43175 + 10.6604i 0.254087 + 0.498673i 0.982452 0.186516i \(-0.0597196\pi\)
−0.728365 + 0.685189i \(0.759720\pi\)
\(458\) −8.83184 + 17.3335i −0.412685 + 0.809939i
\(459\) 3.98052i 0.185795i
\(460\) −0.0952444 0.141191i −0.00444079 0.00658307i
\(461\) −9.84326 + 3.19827i −0.458446 + 0.148958i −0.529130 0.848541i \(-0.677482\pi\)
0.0706842 + 0.997499i \(0.477482\pi\)
\(462\) −3.39739 0.538094i −0.158061 0.0250344i
\(463\) 4.46613 + 28.1980i 0.207559 + 1.31047i 0.842828 + 0.538183i \(0.180889\pi\)
−0.635270 + 0.772290i \(0.719111\pi\)
\(464\) 0.409297 0.0190011
\(465\) 12.2897 1.99082i 0.569921 0.0923221i
\(466\) −10.3954 −0.481559
\(467\) 3.89099 + 24.5667i 0.180053 + 1.13681i 0.897766 + 0.440473i \(0.145189\pi\)
−0.717713 + 0.696339i \(0.754811\pi\)
\(468\) 3.29841 + 0.522417i 0.152469 + 0.0241487i
\(469\) −15.4519 + 5.02064i −0.713505 + 0.231832i
\(470\) −9.13619 1.77545i −0.421421 0.0818953i
\(471\) 9.73145i 0.448401i
\(472\) −5.25009 + 10.3039i −0.241655 + 0.474274i
\(473\) −7.96564 15.6334i −0.366260 0.718826i
\(474\) 12.0463 + 3.91406i 0.553303 + 0.179779i
\(475\) 26.0530 16.2831i 1.19539 0.747122i
\(476\) −5.45329 + 1.77188i −0.249951 + 0.0812140i
\(477\) −5.04763 + 0.799466i −0.231115 + 0.0366050i
\(478\) 11.2300 + 1.77866i 0.513648 + 0.0813539i
\(479\) 7.75485 + 2.51970i 0.354328 + 0.115128i 0.480772 0.876846i \(-0.340356\pi\)
−0.126444 + 0.991974i \(0.540356\pi\)
\(480\) 2.02652 0.945099i 0.0924976 0.0431377i
\(481\) 6.28945 4.56955i 0.286774 0.208354i
\(482\) 8.41526 + 16.5159i 0.383304 + 0.752277i
\(483\) −0.0171635 + 0.108366i −0.000780968 + 0.00493084i
\(484\) 3.11410 4.28618i 0.141550 0.194827i
\(485\) −16.6340 12.9946i −0.755310 0.590055i
\(486\) 0.587785 0.809017i 0.0266625 0.0366978i
\(487\) 11.7402 + 23.0414i 0.531998 + 1.04410i 0.988047 + 0.154150i \(0.0492638\pi\)
−0.456050 + 0.889954i \(0.650736\pi\)
\(488\) −4.88692 + 2.49001i −0.221220 + 0.112717i
\(489\) 5.06201 + 15.5793i 0.228912 + 0.704519i
\(490\) 6.15858 + 9.12954i 0.278216 + 0.412431i
\(491\) 29.7252i 1.34148i 0.741692 + 0.670741i \(0.234024\pi\)
−0.741692 + 0.670741i \(0.765976\pi\)
\(492\) 5.72830 + 2.91871i 0.258252 + 0.131586i
\(493\) 0.254865 1.60916i 0.0114786 0.0724728i
\(494\) −16.6010 12.0614i −0.746916 0.542666i
\(495\) 1.01857 5.24142i 0.0457813 0.235584i
\(496\) −5.05424 2.33552i −0.226942 0.104868i
\(497\) 13.3339 + 13.3339i 0.598109 + 0.598109i
\(498\) −16.0365 + 2.53993i −0.718613 + 0.113817i
\(499\) −7.65515 + 5.56179i −0.342692 + 0.248980i −0.745797 0.666174i \(-0.767931\pi\)
0.403105 + 0.915154i \(0.367931\pi\)
\(500\) −2.89215 + 10.7998i −0.129341 + 0.482981i
\(501\) −9.56713 −0.427428
\(502\) 13.2898 13.2898i 0.593152 0.593152i
\(503\) −15.6201 7.95885i −0.696467 0.354867i 0.0696479 0.997572i \(-0.477812\pi\)
−0.766114 + 0.642704i \(0.777812\pi\)
\(504\) −1.36999 0.445138i −0.0610244 0.0198280i
\(505\) −17.0270 9.43715i −0.757691 0.419948i
\(506\) 0.147141 + 0.106904i 0.00654120 + 0.00475246i
\(507\) −1.64619 0.838775i −0.0731098 0.0372513i
\(508\) 0.802457 + 5.06651i 0.0356033 + 0.224790i
\(509\) 20.1138 14.6135i 0.891529 0.647734i −0.0447474 0.998998i \(-0.514248\pi\)
0.936276 + 0.351265i \(0.114248\pi\)
\(510\) −2.45377 8.55580i −0.108655 0.378857i
\(511\) 1.13040 + 1.55586i 0.0500060 + 0.0688274i
\(512\) −0.987688 0.156434i −0.0436501 0.00691349i
\(513\) −5.47487 + 2.78958i −0.241721 + 0.123163i
\(514\) −14.8007 20.3715i −0.652833 0.898547i
\(515\) −1.01987 + 29.2449i −0.0449407 + 1.28868i
\(516\) −2.27061 6.98823i −0.0999582 0.307640i
\(517\) 9.81663 1.55480i 0.431735 0.0683801i
\(518\) −2.98788 + 1.52240i −0.131280 + 0.0668905i
\(519\) 4.03865 12.4297i 0.177277 0.545603i
\(520\) 7.41171 0.910399i 0.325025 0.0399236i
\(521\) 37.6812 1.65085 0.825423 0.564515i \(-0.190937\pi\)
0.825423 + 0.564515i \(0.190937\pi\)
\(522\) 0.289417 0.289417i 0.0126674 0.0126674i
\(523\) 13.7247 26.9362i 0.600139 1.17784i −0.368561 0.929603i \(-0.620150\pi\)
0.968700 0.248235i \(-0.0798504\pi\)
\(524\) −3.42540 4.71466i −0.149639 0.205961i
\(525\) 6.10769 3.81731i 0.266562 0.166601i
\(526\) 6.13003i 0.267282i
\(527\) −12.3294 + 18.4165i −0.537075 + 0.802236i
\(528\) −1.68849 + 1.68849i −0.0734820 + 0.0734820i
\(529\) −13.5157 + 18.6027i −0.587637 + 0.808813i
\(530\) −10.3566 + 4.82998i −0.449864 + 0.209801i
\(531\) 3.57357 + 10.9983i 0.155080 + 0.477286i
\(532\) 6.25879 + 6.25879i 0.271353 + 0.271353i
\(533\) 15.1815 + 15.1815i 0.657584 + 0.657584i
\(534\) 7.57373 2.46085i 0.327747 0.106492i
\(535\) 11.2814 + 39.3360i 0.487739 + 1.70065i
\(536\) −3.48535 + 10.7268i −0.150544 + 0.463328i
\(537\) −2.63036 16.6074i −0.113508 0.716663i
\(538\) −8.16198 + 16.0188i −0.351888 + 0.690619i
\(539\) −9.51424 6.91250i −0.409807 0.297742i
\(540\) 0.764681 2.10125i 0.0329066 0.0904235i
\(541\) −0.837027 + 2.57611i −0.0359866 + 0.110755i −0.967436 0.253115i \(-0.918545\pi\)
0.931450 + 0.363870i \(0.118545\pi\)
\(542\) 1.71280 10.8142i 0.0735709 0.464508i
\(543\) 0.221746 1.40005i 0.00951603 0.0600818i
\(544\) −1.23005 + 3.78570i −0.0527379 + 0.162311i
\(545\) −18.6023 + 8.67547i −0.796835 + 0.371616i
\(546\) −3.89184 2.82759i −0.166555 0.121010i
\(547\) 9.60360 18.8481i 0.410620 0.805887i −0.589378 0.807857i \(-0.700627\pi\)
0.999998 + 0.00197006i \(0.000627091\pi\)
\(548\) −0.295228 1.86400i −0.0126115 0.0796261i
\(549\) −1.69487 + 5.21627i −0.0723353 + 0.222625i
\(550\) −1.04171 11.8939i −0.0444189 0.507157i
\(551\) −2.39187 + 0.777165i −0.101897 + 0.0331084i
\(552\) 0.0538576 + 0.0538576i 0.00229233 + 0.00229233i
\(553\) −12.9016 12.9016i −0.548631 0.548631i
\(554\) 5.58261 + 17.1815i 0.237182 + 0.729972i
\(555\) −2.20013 4.71760i −0.0933901 0.200251i
\(556\) 3.50081 4.81845i 0.148467 0.204348i
\(557\) −9.81217 + 9.81217i −0.415755 + 0.415755i −0.883738 0.467983i \(-0.844981\pi\)
0.467983 + 0.883738i \(0.344981\pi\)
\(558\) −5.22535 + 1.92243i −0.221207 + 0.0813828i
\(559\) 24.5384i 1.03786i
\(560\) −3.21909 0.112261i −0.136031 0.00474388i
\(561\) 5.58691 + 7.68972i 0.235879 + 0.324660i
\(562\) 6.17052 12.1103i 0.260288 0.510843i
\(563\) −25.9259 + 25.9259i −1.09265 + 1.09265i −0.0974028 + 0.995245i \(0.531054\pi\)
−0.995245 + 0.0974028i \(0.968946\pi\)
\(564\) 4.16226 0.175263
\(565\) −4.77071 + 6.10683i −0.200705 + 0.256916i
\(566\) 2.77434 8.53854i 0.116614 0.358902i
\(567\) −1.28349 + 0.653972i −0.0539016 + 0.0274642i
\(568\) 12.9295 2.04783i 0.542509 0.0859250i
\(569\) −10.7438 33.0659i −0.450402 1.38620i −0.876449 0.481494i \(-0.840094\pi\)
0.426047 0.904701i \(-0.359906\pi\)
\(570\) −10.0481 + 9.37094i −0.420871 + 0.392505i
\(571\) 3.91179 + 5.38411i 0.163703 + 0.225318i 0.882986 0.469399i \(-0.155529\pi\)
−0.719283 + 0.694717i \(0.755529\pi\)
\(572\) −7.10524 + 3.62030i −0.297085 + 0.151372i
\(573\) −9.72520 1.54032i −0.406276 0.0643478i
\(574\) −5.44347 7.49229i −0.227206 0.312722i
\(575\) −0.379379 + 0.0332275i −0.0158212 + 0.00138568i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) −0.745694 4.70812i −0.0310436 0.196002i 0.967293 0.253663i \(-0.0816356\pi\)
−0.998336 + 0.0576616i \(0.981636\pi\)
\(578\) −1.02952 0.524565i −0.0428222 0.0218190i
\(579\) −0.983849 0.714808i −0.0408874 0.0297064i
\(580\) 0.443667 0.800487i 0.0184223 0.0332384i
\(581\) 22.2438 + 7.22744i 0.922827 + 0.299845i
\(582\) 8.41093 + 4.28558i 0.348644 + 0.177643i
\(583\) 8.62910 8.62910i 0.357381 0.357381i
\(584\) 1.33506 0.0552453
\(585\) 4.59712 5.88462i 0.190067 0.243299i
\(586\) −6.14145 + 4.46202i −0.253701 + 0.184325i
\(587\) 9.52595 1.50876i 0.393178 0.0622733i 0.0432846 0.999063i \(-0.486218\pi\)
0.349893 + 0.936790i \(0.386218\pi\)
\(588\) −3.48248 3.48248i −0.143615 0.143615i
\(589\) 33.9709 + 4.05153i 1.39975 + 0.166940i
\(590\) 14.4610 + 21.4371i 0.595348 + 0.882550i
\(591\) −8.12785 5.90523i −0.334335 0.242909i
\(592\) −0.364169 + 2.29927i −0.0149672 + 0.0944994i
\(593\) −40.5551 20.6639i −1.66540 0.848563i −0.994231 0.107257i \(-0.965793\pi\)
−0.671167 0.741306i \(-0.734207\pi\)
\(594\) 2.38788i 0.0979760i
\(595\) −2.44585 + 12.5860i −0.100270 + 0.515976i
\(596\) −4.05841 12.4905i −0.166239 0.511631i
\(597\) −0.0908311 + 0.0462808i −0.00371747 + 0.00189415i
\(598\) 0.115477 + 0.226636i 0.00472219 + 0.00926782i
\(599\) −0.332705 + 0.457929i −0.0135940 + 0.0187105i −0.815760 0.578391i \(-0.803681\pi\)
0.802166 + 0.597101i \(0.203681\pi\)
\(600\) 0.348310 4.98785i 0.0142197 0.203628i
\(601\) −2.68663 + 3.69782i −0.109590 + 0.150837i −0.860289 0.509807i \(-0.829717\pi\)
0.750699 + 0.660644i \(0.229717\pi\)
\(602\) −1.65579 + 10.4543i −0.0674850 + 0.426084i
\(603\) 5.12049 + 10.0495i 0.208522 + 0.409248i
\(604\) 14.2814 10.3760i 0.581102 0.422195i
\(605\) −5.00715 10.7365i −0.203570 0.436502i
\(606\) 8.27996 + 2.69032i 0.336350 + 0.109287i
\(607\) 6.94431 + 1.09987i 0.281861 + 0.0446424i 0.295764 0.955261i \(-0.404426\pi\)
−0.0139034 + 0.999903i \(0.504426\pi\)
\(608\) 6.06894 0.961225i 0.246128 0.0389828i
\(609\) −0.560734 + 0.182194i −0.0227221 + 0.00738286i
\(610\) −0.427434 + 12.2567i −0.0173063 + 0.496261i
\(611\) 13.2197 + 4.29533i 0.534811 + 0.173771i
\(612\) 1.80712 + 3.54667i 0.0730484 + 0.143366i
\(613\) −4.44198 + 8.71788i −0.179410 + 0.352112i −0.963145 0.268984i \(-0.913312\pi\)
0.783735 + 0.621096i \(0.213312\pi\)
\(614\) 3.57846i 0.144415i
\(615\) 11.9176 8.03937i 0.480565 0.324179i
\(616\) 3.27139 1.06294i 0.131808 0.0428270i
\(617\) 4.01573 + 0.636029i 0.161667 + 0.0256056i 0.236743 0.971572i \(-0.423920\pi\)
−0.0750761 + 0.997178i \(0.523920\pi\)
\(618\) −2.04720 12.9255i −0.0823506 0.519941i
\(619\) 5.62326 0.226018 0.113009 0.993594i \(-0.463951\pi\)
0.113009 + 0.993594i \(0.463951\pi\)
\(620\) −10.0464 + 7.35324i −0.403473 + 0.295313i
\(621\) 0.0761662 0.00305644
\(622\) 0.0918706 + 0.580048i 0.00368368 + 0.0232578i
\(623\) −11.3302 1.79452i −0.453933 0.0718959i
\(624\) −3.17608 + 1.03197i −0.127145 + 0.0413119i
\(625\) 17.9868 + 17.3631i 0.719471 + 0.694522i
\(626\) 10.8349i 0.433051i
\(627\) 6.66120 13.0733i 0.266023 0.522099i
\(628\) 4.41798 + 8.67078i 0.176297 + 0.346002i
\(629\) 8.81285 + 2.86347i 0.351391 + 0.114174i
\(630\) −2.35562 + 2.19686i −0.0938502 + 0.0875251i
\(631\) 27.1341 8.81640i 1.08019 0.350975i 0.285742 0.958307i \(-0.407760\pi\)
0.794449 + 0.607331i \(0.207760\pi\)
\(632\) −12.5102 + 1.98143i −0.497630 + 0.0788169i
\(633\) 19.2340 + 3.04637i 0.764485 + 0.121082i
\(634\) 25.0897 + 8.15214i 0.996440 + 0.323763i
\(635\) 10.7787 + 3.92256i 0.427741 + 0.155662i
\(636\) 4.13452 3.00391i 0.163944 0.119113i
\(637\) −7.46681 14.6544i −0.295846 0.580630i
\(638\) −0.152892 + 0.965320i −0.00605304 + 0.0382174i
\(639\) 7.69449 10.5906i 0.304389 0.418956i
\(640\) −1.37658 + 1.76211i −0.0544140 + 0.0696535i
\(641\) 11.4142 15.7103i 0.450834 0.620519i −0.521743 0.853103i \(-0.674718\pi\)
0.972576 + 0.232583i \(0.0747179\pi\)
\(642\) −8.30839 16.3061i −0.327906 0.643551i
\(643\) 21.2001 10.8020i 0.836049 0.425988i 0.0170997 0.999854i \(-0.494557\pi\)
0.818950 + 0.573865i \(0.194557\pi\)
\(644\) −0.0339045 0.104347i −0.00133602 0.00411186i
\(645\) −16.1286 3.13429i −0.635062 0.123412i
\(646\) 24.4587i 0.962313i
\(647\) −8.23598 4.19644i −0.323790 0.164979i 0.284538 0.958665i \(-0.408160\pi\)
−0.608328 + 0.793685i \(0.708160\pi\)
\(648\) −0.156434 + 0.987688i −0.00614533 + 0.0388001i
\(649\) −22.3404 16.2312i −0.876936 0.637132i
\(650\) 6.25358 15.4824i 0.245286 0.607268i
\(651\) 7.96391 + 0.949814i 0.312130 + 0.0372261i
\(652\) −11.5831 11.5831i −0.453630 0.453630i
\(653\) −40.3336 + 6.38822i −1.57838 + 0.249990i −0.883252 0.468898i \(-0.844651\pi\)
−0.695125 + 0.718889i \(0.744651\pi\)
\(654\) 7.42631 5.39553i 0.290392 0.210982i
\(655\) −12.9338 + 1.58869i −0.505365 + 0.0620753i
\(656\) −6.42902 −0.251011
\(657\) 0.944032 0.944032i 0.0368302 0.0368302i
\(658\) −5.34223 2.72200i −0.208262 0.106115i
\(659\) −13.9606 4.53609i −0.543830 0.176701i 0.0242029 0.999707i \(-0.492295\pi\)
−0.568032 + 0.823006i \(0.692295\pi\)
\(660\) 1.47200 + 5.13256i 0.0572975 + 0.199784i
\(661\) −21.7335 15.7903i −0.845336 0.614172i 0.0785204 0.996913i \(-0.474980\pi\)
−0.923856 + 0.382740i \(0.874980\pi\)
\(662\) −27.8467 14.1886i −1.08229 0.551456i
\(663\) 2.07949 + 13.1294i 0.0807608 + 0.509904i
\(664\) 13.1355 9.54352i 0.509757 0.370360i
\(665\) 19.0250 5.45632i 0.737760 0.211587i
\(666\) 1.36832 + 1.88334i 0.0530215 + 0.0729778i
\(667\) 0.0307908 + 0.00487678i 0.00119222 + 0.000188830i
\(668\) 8.52437 4.34338i 0.329818 0.168051i
\(669\) 0.307938 + 0.423840i 0.0119056 + 0.0163866i
\(670\) 17.2011 + 18.4441i 0.664535 + 0.712559i
\(671\) −4.04715 12.4559i −0.156239 0.480853i
\(672\) 1.42276 0.225343i 0.0548842 0.00869281i
\(673\) −7.86699 + 4.00843i −0.303250 + 0.154514i −0.598994 0.800754i \(-0.704433\pi\)
0.295744 + 0.955267i \(0.404433\pi\)
\(674\) −2.12187 + 6.53043i −0.0817312 + 0.251543i
\(675\) −3.28065 3.77324i −0.126272 0.145232i
\(676\) 1.84756 0.0710600
\(677\) −8.26870 + 8.26870i −0.317792 + 0.317792i −0.847919 0.530127i \(-0.822144\pi\)
0.530127 + 0.847919i \(0.322144\pi\)
\(678\) 1.57336 3.08790i 0.0604247 0.118590i
\(679\) −7.99271 11.0010i −0.306732 0.422180i
\(680\) 6.07058 + 6.50928i 0.232796 + 0.249620i
\(681\) 8.74054i 0.334938i
\(682\) 7.39628 11.0479i 0.283218 0.423047i
\(683\) −10.3427 + 10.3427i −0.395751 + 0.395751i −0.876732 0.480980i \(-0.840281\pi\)
0.480980 + 0.876732i \(0.340281\pi\)
\(684\) 3.61170 4.97108i 0.138097 0.190074i
\(685\) −3.96556 1.44313i −0.151516 0.0551392i
\(686\) 5.30826 + 16.3371i 0.202670 + 0.623755i
\(687\) −13.7559 13.7559i −0.524821 0.524821i
\(688\) 5.19572 + 5.19572i 0.198085 + 0.198085i
\(689\) 16.2315 5.27394i 0.618371 0.200921i
\(690\) 0.163713 0.0469523i 0.00623245 0.00178744i
\(691\) 7.55294 23.2456i 0.287327 0.884303i −0.698364 0.715743i \(-0.746088\pi\)
0.985691 0.168560i \(-0.0539117\pi\)
\(692\) 2.04450 + 12.9084i 0.0777201 + 0.490705i
\(693\) 1.56161 3.06483i 0.0593206 0.116423i
\(694\) −7.29636 5.30112i −0.276966 0.201228i
\(695\) −5.62894 12.0698i −0.213518 0.457834i
\(696\) −0.126480 + 0.389264i −0.00479420 + 0.0147550i
\(697\) −4.00329 + 25.2758i −0.151635 + 0.957388i
\(698\) 0.299956 1.89385i 0.0113535 0.0716833i
\(699\) 3.21236 9.88664i 0.121503 0.373947i
\(700\) −3.70897 + 6.17409i −0.140186 + 0.233358i
\(701\) 21.2478 + 15.4374i 0.802517 + 0.583063i 0.911652 0.410964i \(-0.134808\pi\)
−0.109134 + 0.994027i \(0.534808\pi\)
\(702\) −1.51611 + 2.97554i −0.0572220 + 0.112305i
\(703\) −2.23767 14.1281i −0.0843952 0.532850i
\(704\) 0.737896 2.27101i 0.0278105 0.0855920i
\(705\) 4.51179 8.14039i 0.169924 0.306585i
\(706\) 16.6537 5.41112i 0.626771 0.203650i
\(707\) −8.86787 8.86787i −0.333510 0.333510i
\(708\) −8.17720 8.17720i −0.307318 0.307318i
\(709\) 9.63696 + 29.6595i 0.361923 + 1.11389i 0.951885 + 0.306455i \(0.0991428\pi\)
−0.589962 + 0.807431i \(0.700857\pi\)
\(710\) 10.0102 27.5068i 0.375675 1.03231i
\(711\) −7.44499 + 10.2472i −0.279209 + 0.384298i
\(712\) −5.63104 + 5.63104i −0.211032 + 0.211032i
\(713\) −0.352395 0.235919i −0.0131973 0.00883523i
\(714\) 5.73393i 0.214587i
\(715\) −0.621460 + 17.8205i −0.0232413 + 0.666448i
\(716\) 9.88327 + 13.6032i 0.369355 + 0.508374i
\(717\) −5.16187 + 10.1307i −0.192773 + 0.378339i
\(718\) 5.32602 5.32602i 0.198765 0.198765i
\(719\) 3.60738 0.134533 0.0672664 0.997735i \(-0.478572\pi\)
0.0672664 + 0.997735i \(0.478572\pi\)
\(720\) 0.272613 + 2.21939i 0.0101597 + 0.0827117i
\(721\) −5.82537 + 17.9286i −0.216948 + 0.667698i
\(722\) −16.7117 + 8.51502i −0.621944 + 0.316896i
\(723\) −18.3080 + 2.89970i −0.680881 + 0.107841i
\(724\) 0.438032 + 1.34812i 0.0162793 + 0.0501026i
\(725\) −1.08464 1.73541i −0.0402824 0.0644517i
\(726\) 3.11410 + 4.28618i 0.115575 + 0.159075i
\(727\) 18.7648 9.56116i 0.695949 0.354604i −0.0699625 0.997550i \(-0.522288\pi\)
0.765912 + 0.642946i \(0.222288\pi\)
\(728\) 4.75135 + 0.752540i 0.176097 + 0.0278910i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 1.44717 2.61106i 0.0535623 0.0966398i
\(731\) 23.6624 17.1917i 0.875184 0.635859i
\(732\) −0.857999 5.41719i −0.0317125 0.200225i
\(733\) 0.182610 + 0.0930444i 0.00674485 + 0.00343667i 0.457360 0.889282i \(-0.348795\pi\)
−0.450615 + 0.892718i \(0.648795\pi\)
\(734\) −27.8874 20.2614i −1.02934 0.747862i
\(735\) −10.5858 + 3.03598i −0.390464 + 0.111984i
\(736\) −0.0724384 0.0235367i −0.00267011 0.000867572i
\(737\) −23.9971 12.2271i −0.883944 0.450392i
\(738\) −4.54600 + 4.54600i −0.167341 + 0.167341i
\(739\) −39.9001 −1.46775 −0.733875 0.679285i \(-0.762290\pi\)
−0.733875 + 0.679285i \(0.762290\pi\)
\(740\) 4.10207 + 3.20458i 0.150795 + 0.117803i
\(741\) 16.6010 12.0614i 0.609854 0.443085i
\(742\) −7.27110 + 1.15163i −0.266930 + 0.0422776i
\(743\) −13.9840 13.9840i −0.513022 0.513022i 0.402429 0.915451i \(-0.368166\pi\)
−0.915451 + 0.402429i \(0.868166\pi\)
\(744\) 3.78306 4.08515i 0.138694 0.149769i
\(745\) −28.8276 5.60211i −1.05616 0.205245i
\(746\) −17.2864 12.5593i −0.632901 0.459829i
\(747\) 2.53993 16.0365i 0.0929313 0.586745i
\(748\) −8.46903 4.31519i −0.309659 0.157779i
\(749\) 26.3622i 0.963255i
\(750\) −9.37749 6.08792i −0.342417 0.222299i
\(751\) −5.13296 15.7976i −0.187304 0.576464i 0.812676 0.582716i \(-0.198010\pi\)
−0.999980 + 0.00625197i \(0.998010\pi\)
\(752\) −3.70860 + 1.88963i −0.135239 + 0.0689077i
\(753\) 8.53256 + 16.7461i 0.310944 + 0.610262i
\(754\) −0.803419 + 1.10581i −0.0292588 + 0.0402713i
\(755\) −4.81238 39.1784i −0.175140 1.42585i
\(756\) 0.846703 1.16539i 0.0307943 0.0423847i
\(757\) 6.55385 41.3794i 0.238204 1.50396i −0.521254 0.853402i \(-0.674536\pi\)
0.759457 0.650557i \(-0.225464\pi\)
\(758\) 6.05120 + 11.8762i 0.219790 + 0.431362i
\(759\) −0.147141 + 0.106904i −0.00534087 + 0.00388037i
\(760\) 4.69865 12.9113i 0.170438 0.468343i
\(761\) −37.7422 12.2632i −1.36815 0.444540i −0.469396 0.882988i \(-0.655528\pi\)
−0.898757 + 0.438448i \(0.855528\pi\)
\(762\) −5.06651 0.802457i −0.183540 0.0290699i
\(763\) −13.0601 + 2.06852i −0.472809 + 0.0748855i
\(764\) 9.36451 3.04271i 0.338796 0.110081i
\(765\) 8.89531 + 0.310209i 0.321611 + 0.0112156i
\(766\) −30.3828 9.87198i −1.09778 0.356689i
\(767\) −17.5328 34.4101i −0.633073 1.24248i
\(768\) 0.453990 0.891007i 0.0163820 0.0321514i
\(769\) 47.4501i 1.71109i −0.517724 0.855547i \(-0.673221\pi\)
0.517724 0.855547i \(-0.326779\pi\)
\(770\) 1.46725 7.55024i 0.0528759 0.272092i
\(771\) 23.9481 7.78121i 0.862470 0.280233i
\(772\) 1.20113 + 0.190241i 0.0432297 + 0.00684691i
\(773\) −5.82563 36.7816i −0.209533 1.32294i −0.838241 0.545300i \(-0.816416\pi\)
0.628708 0.777642i \(-0.283584\pi\)
\(774\) 7.34786 0.264113
\(775\) 3.49115 + 27.6190i 0.125406 + 0.992106i
\(776\) −9.43980 −0.338869
\(777\) −0.524584 3.31209i −0.0188193 0.118821i
\(778\) 33.9675 + 5.37992i 1.21779 + 0.192880i
\(779\) 37.5702 12.2073i 1.34609 0.437372i
\(780\) −1.42450 + 7.33028i −0.0510053 + 0.262466i
\(781\) 31.2589i 1.11853i
\(782\) −0.137641 + 0.270136i −0.00492205 + 0.00966006i
\(783\) 0.185817 + 0.364686i 0.00664055 + 0.0130328i
\(784\) 4.68392 + 1.52190i 0.167283 + 0.0543535i
\(785\) 21.7470 + 0.758390i 0.776182 + 0.0270681i
\(786\) 5.54242 1.80084i 0.197691 0.0642339i
\(787\) −34.5388 + 5.47041i −1.23118 + 0.194999i −0.737922 0.674886i \(-0.764193\pi\)
−0.493254 + 0.869885i \(0.664193\pi\)
\(788\) 9.92288 + 1.57163i 0.353488 + 0.0559870i
\(789\) 5.83000 + 1.89428i 0.207554 + 0.0674382i
\(790\) −9.68558 + 26.6148i −0.344598 + 0.946914i
\(791\) −4.03880 + 2.93436i −0.143603 + 0.104334i
\(792\) −1.08408 2.12762i −0.0385210 0.0756017i
\(793\) 2.86531 18.0909i 0.101750 0.642425i
\(794\) −13.2376 + 18.2199i −0.469784 + 0.646602i
\(795\) −1.39320 11.3423i −0.0494118 0.402270i
\(796\) 0.0599201 0.0824729i 0.00212381 0.00292318i
\(797\) 5.74007 + 11.2655i 0.203324 + 0.399045i 0.970042 0.242939i \(-0.0781114\pi\)
−0.766718 + 0.641984i \(0.778111\pi\)
\(798\) −7.88653 + 4.01839i −0.279180 + 0.142249i
\(799\) 5.11979 + 15.7571i 0.181125 + 0.557446i
\(800\) 1.95409 + 4.60234i 0.0690876 + 0.162717i
\(801\) 7.96349i 0.281376i
\(802\) 7.55783 + 3.85091i 0.266876 + 0.135980i
\(803\) −0.498709 + 3.14872i −0.0175991 + 0.111116i
\(804\) −9.12478 6.62954i −0.321806 0.233806i
\(805\) −0.240830 0.0468007i −0.00848813 0.00164951i
\(806\) 16.2310 9.07076i 0.571714 0.319504i
\(807\) −12.7126 12.7126i −0.447504 0.447504i
\(808\) −8.59888 + 1.36193i −0.302507 + 0.0479125i
\(809\) 37.1159 26.9662i 1.30492 0.948083i 0.304933 0.952374i \(-0.401366\pi\)
0.999991 + 0.00429085i \(0.00136582\pi\)
\(810\) 1.76211 + 1.37658i 0.0619143 + 0.0483680i
\(811\) 42.9404 1.50784 0.753920 0.656966i \(-0.228161\pi\)
0.753920 + 0.656966i \(0.228161\pi\)
\(812\) 0.416904 0.416904i 0.0146305 0.0146305i
\(813\) 9.75561 + 4.97073i 0.342144 + 0.174331i
\(814\) −5.28676 1.71777i −0.185301 0.0602079i
\(815\) −35.2096 + 10.0980i −1.23334 + 0.353718i
\(816\) −3.22031 2.33969i −0.112733 0.0819056i
\(817\) −40.2285 20.4975i −1.40742 0.717116i
\(818\) 1.82006 + 11.4914i 0.0636368 + 0.401787i
\(819\) 3.89184 2.82759i 0.135992 0.0988039i
\(820\) −6.96889 + 12.5736i −0.243364 + 0.439090i
\(821\) 26.4412 + 36.3932i 0.922805 + 1.27013i 0.962601 + 0.270924i \(0.0873293\pi\)
−0.0397958 + 0.999208i \(0.512671\pi\)
\(822\) 1.86400 + 0.295228i 0.0650144 + 0.0102973i
\(823\) −19.4787 + 9.92488i −0.678984 + 0.345960i −0.759236 0.650815i \(-0.774427\pi\)
0.0802523 + 0.996775i \(0.474427\pi\)
\(824\) 7.69214 + 10.5873i 0.267969 + 0.368827i
\(825\) 11.6337 + 2.68468i 0.405032 + 0.0934686i
\(826\) 5.14772 + 15.8430i 0.179112 + 0.551250i
\(827\) −10.4071 + 1.64833i −0.361892 + 0.0573181i −0.334733 0.942313i \(-0.608646\pi\)
−0.0271591 + 0.999631i \(0.508646\pi\)
\(828\) −0.0678646 + 0.0345787i −0.00235846 + 0.00120169i
\(829\) 7.19392 22.1406i 0.249855 0.768975i −0.744945 0.667126i \(-0.767524\pi\)
0.994800 0.101849i \(-0.0324757\pi\)
\(830\) −4.42626 36.0349i −0.153638 1.25079i
\(831\) −18.0657 −0.626692
\(832\) 2.36140 2.36140i 0.0818669 0.0818669i
\(833\) 8.90000 17.4672i 0.308367 0.605204i
\(834\) 3.50081 + 4.81845i 0.121223 + 0.166849i
\(835\) 0.745584 21.3797i 0.0258020 0.739877i
\(836\) 14.6726i 0.507461i
\(837\) −0.213614 5.56367i −0.00738357 0.192308i
\(838\) 13.8498 13.8498i 0.478435 0.478435i
\(839\) −7.78122 + 10.7099i −0.268638 + 0.369748i −0.921929 0.387358i \(-0.873388\pi\)
0.653292 + 0.757106i \(0.273388\pi\)
\(840\) 1.10152 3.02685i 0.0380061 0.104436i
\(841\) −8.90973 27.4213i −0.307232 0.945563i
\(842\) 21.0138 + 21.0138i 0.724184 + 0.724184i
\(843\) 9.61081 + 9.61081i 0.331014 + 0.331014i
\(844\) −18.5207 + 6.01773i −0.637508 + 0.207139i
\(845\) 2.00271 3.61339i 0.0688953 0.124304i
\(846\) −1.28621 + 3.95855i −0.0442208 + 0.136098i
\(847\) −1.19387 7.53782i −0.0410219 0.259002i
\(848\) −2.32014 + 4.55353i −0.0796740 + 0.156369i
\(849\) 7.26332 + 5.27711i 0.249276 + 0.181110i
\(850\) 19.3110 4.81670i 0.662360 0.165212i
\(851\) −0.0547917 + 0.168631i −0.00187824 + 0.00578061i
\(852\) −2.04783 + 12.9295i −0.0701574 + 0.442957i
\(853\) −5.29074 + 33.4044i −0.181151 + 1.14374i 0.714713 + 0.699418i \(0.246557\pi\)
−0.895865 + 0.444327i \(0.853443\pi\)
\(854\) −2.44146 + 7.51403i −0.0835449 + 0.257125i
\(855\) −5.80724 12.4521i −0.198604 0.425854i
\(856\) 14.8057 + 10.7569i 0.506047 + 0.367664i
\(857\) −6.02099 + 11.8169i −0.205673 + 0.403656i −0.970683 0.240362i \(-0.922734\pi\)
0.765010 + 0.644018i \(0.222734\pi\)
\(858\) −1.24747 7.87622i −0.0425880 0.268890i
\(859\) 1.11400 3.42853i 0.0380091 0.116980i −0.930252 0.366922i \(-0.880412\pi\)
0.968261 + 0.249942i \(0.0804116\pi\)
\(860\) 15.7936 4.52955i 0.538558 0.154457i
\(861\) 8.80772 2.86180i 0.300166 0.0975299i
\(862\) 7.12802 + 7.12802i 0.242781 + 0.242781i
\(863\) 28.3802 + 28.3802i 0.966072 + 0.966072i 0.999443 0.0333709i \(-0.0106243\pi\)
−0.0333709 + 0.999443i \(0.510624\pi\)
\(864\) −0.309017 0.951057i −0.0105130 0.0323556i
\(865\) 27.4620 + 9.99388i 0.933736 + 0.339802i
\(866\) 23.2098 31.9455i 0.788700 1.08555i
\(867\) 0.817029 0.817029i 0.0277477 0.0277477i
\(868\) −7.52710 + 2.76925i −0.255486 + 0.0939944i
\(869\) 30.2453i 1.02600i
\(870\) 0.624207 + 0.669317i 0.0211626 + 0.0226920i
\(871\) −22.1395 30.4724i −0.750169 1.03252i
\(872\) −4.16737 + 8.17893i −0.141125 + 0.276973i
\(873\) −6.67495 + 6.67495i −0.225913 + 0.225913i
\(874\) 0.468010 0.0158307
\(875\) 8.05460 + 13.9464i 0.272295 + 0.471475i
\(876\) −0.412557 + 1.26972i −0.0139390 + 0.0428999i
\(877\) 20.7065 10.5505i 0.699207 0.356264i −0.0679803 0.997687i \(-0.521655\pi\)
0.767188 + 0.641423i \(0.221655\pi\)
\(878\) 38.7150 6.13186i 1.30657 0.206940i
\(879\) −2.34583 7.21971i −0.0791227 0.243515i
\(880\) −3.64169 3.90487i −0.122761 0.131633i
\(881\) 3.56112 + 4.90146i 0.119977 + 0.165134i 0.864781 0.502149i \(-0.167457\pi\)
−0.744804 + 0.667283i \(0.767457\pi\)
\(882\) 4.38818 2.23589i 0.147758 0.0752863i
\(883\) −24.0681 3.81202i −0.809957 0.128285i −0.262299 0.964987i \(-0.584481\pi\)
−0.547658 + 0.836702i \(0.684481\pi\)
\(884\) −7.81346 10.7543i −0.262795 0.361707i
\(885\) −24.8565 + 7.12877i −0.835543 + 0.239631i
\(886\) −6.50565 + 4.72663i −0.218561 + 0.158794i
\(887\) −2.36935 14.9595i −0.0795549 0.502290i −0.995002 0.0998521i \(-0.968163\pi\)
0.915447 0.402438i \(-0.131837\pi\)
\(888\) −2.07420 1.05686i −0.0696056 0.0354658i
\(889\) 5.97805 + 4.34330i 0.200497 + 0.145670i
\(890\) 4.90906 + 17.1169i 0.164552 + 0.573759i
\(891\) −2.27101 0.737896i −0.0760817 0.0247205i
\(892\) −0.466794 0.237843i −0.0156294 0.00796358i
\(893\) 18.0845 18.0845i 0.605176 0.605176i
\(894\) 13.1333 0.439243
\(895\) 37.3177 4.58384i 1.24739 0.153221i
\(896\) −1.16539 + 0.846703i −0.0389328 + 0.0282864i
\(897\) −0.251227 + 0.0397905i −0.00838824 + 0.00132857i
\(898\) 20.2010 + 20.2010i 0.674117 + 0.674117i
\(899\) 0.269876 2.26283i 0.00900087 0.0754697i
\(900\) 4.63610 + 1.87259i 0.154537 + 0.0624198i
\(901\) 16.4575 + 11.9571i 0.548280 + 0.398349i
\(902\) 2.40154 15.1627i 0.0799626 0.504864i
\(903\) −9.43092 4.80529i −0.313841 0.159910i
\(904\) 3.46563i 0.115265i
\(905\) 3.11142 + 0.604646i 0.103427 + 0.0200991i
\(906\) 5.45501 + 16.7888i 0.181230 + 0.557770i
\(907\) 21.2653 10.8352i 0.706104 0.359778i −0.0637784 0.997964i \(-0.520315\pi\)
0.769882 + 0.638186i \(0.220315\pi\)
\(908\) 3.96812 + 7.78787i 0.131687 + 0.258450i
\(909\) −5.11730 + 7.04335i −0.169730 + 0.233613i
\(910\) 6.62213 8.47677i 0.219522 0.281002i
\(911\) 7.79341 10.7267i 0.258207 0.355392i −0.660157 0.751127i \(-0.729510\pi\)
0.918364 + 0.395736i \(0.129510\pi\)
\(912\) −0.961225 + 6.06894i −0.0318293 + 0.200963i
\(913\) 17.6015 + 34.5449i 0.582525 + 1.14327i
\(914\) 9.67945 7.03254i 0.320168 0.232616i
\(915\) −11.5248 4.19406i −0.380997 0.138651i
\(916\) 18.5017 + 6.01155i 0.611312 + 0.198627i
\(917\) −8.29135 1.31322i −0.273804 0.0433664i
\(918\) −3.93151 + 0.622691i −0.129759 + 0.0205519i
\(919\) −39.1553 + 12.7223i −1.29161 + 0.419671i −0.872656 0.488336i \(-0.837604\pi\)
−0.418957 + 0.908006i \(0.637604\pi\)
\(920\) −0.124553 + 0.116159i −0.00410640 + 0.00382965i
\(921\) 3.40332 + 1.10581i 0.112143 + 0.0364376i
\(922\) 4.69872 + 9.22175i 0.154744 + 0.303702i
\(923\) −19.8469 + 38.9517i −0.653269 + 1.28211i
\(924\) 3.43974i 0.113159i
\(925\) 10.7139 4.54899i 0.352272 0.149570i
\(926\) 27.1522 8.82229i 0.892277 0.289918i
\(927\) 12.9255 + 2.04720i 0.424530 + 0.0672390i
\(928\) −0.0640281 0.404258i −0.00210183 0.0132704i
\(929\) 33.1058 1.08617 0.543084 0.839679i \(-0.317257\pi\)
0.543084 + 0.839679i \(0.317257\pi\)
\(930\) −3.88884 11.8270i −0.127520 0.387821i
\(931\) −30.2619 −0.991794
\(932\) 1.62620 + 10.2674i 0.0532680 + 0.336321i
\(933\) −0.580048 0.0918706i −0.0189899 0.00300771i
\(934\) 23.6556 7.68616i 0.774034 0.251499i
\(935\) −17.6197 + 11.8858i −0.576225 + 0.388709i
\(936\) 3.33953i 0.109156i
\(937\) −4.60489 + 9.03761i −0.150435 + 0.295246i −0.953910 0.300093i \(-0.902982\pi\)
0.803475 + 0.595339i \(0.202982\pi\)
\(938\) 7.37605 + 14.4763i 0.240836 + 0.472668i
\(939\) −10.3046 3.34818i −0.336279 0.109264i
\(940\) −0.324373 + 9.30145i −0.0105799 + 0.303380i
\(941\) −33.6937 + 10.9478i −1.09838 + 0.356887i −0.801481 0.598021i \(-0.795954\pi\)
−0.296904 + 0.954907i \(0.595954\pi\)
\(942\) −9.61164 + 1.52233i −0.313164 + 0.0496003i
\(943\) −0.483645 0.0766019i −0.0157497 0.00249450i
\(944\) 10.9983 + 3.57357i 0.357965 + 0.116310i
\(945\) −1.36141 2.91920i −0.0442867 0.0949615i
\(946\) −14.1949 + 10.3132i −0.461515 + 0.335310i
\(947\) 20.4935 + 40.2207i 0.665948 + 1.30700i 0.938641 + 0.344896i \(0.112086\pi\)
−0.272693 + 0.962101i \(0.587914\pi\)
\(948\) 1.98143 12.5102i 0.0643537 0.406314i
\(949\) −2.62063 + 3.60698i −0.0850692 + 0.117088i
\(950\) −20.1583 23.1850i −0.654020 0.752220i
\(951\) −15.5063 + 21.3426i −0.502826 + 0.692081i
\(952\) 2.60315 + 5.10897i 0.0843685 + 0.165583i
\(953\) −10.5211 + 5.36078i −0.340812 + 0.173653i −0.616017 0.787733i \(-0.711255\pi\)
0.275204 + 0.961386i \(0.411255\pi\)
\(954\) 1.57925 + 4.86042i 0.0511300 + 0.157362i
\(955\) 4.20007 21.6130i 0.135911 0.699379i
\(956\) 11.3700i 0.367732i
\(957\) −0.870828 0.443709i −0.0281499 0.0143431i
\(958\) 1.27556 8.05355i 0.0412114 0.260198i
\(959\) −2.19936 1.59793i −0.0710209 0.0515997i
\(960\) −1.25048 1.85373i −0.0403591 0.0598287i
\(961\) −16.2447 + 26.4028i −0.524023 + 0.851704i
\(962\) −5.49718 5.49718i −0.177236 0.177236i
\(963\) 18.0755 2.86287i 0.582474 0.0922548i
\(964\) 14.9961 10.8953i 0.482992 0.350914i
\(965\) 1.67406 2.14291i 0.0538899 0.0689827i
\(966\) 0.109717 0.00353009
\(967\) −15.2266 + 15.2266i −0.489655 + 0.489655i −0.908197 0.418542i \(-0.862541\pi\)
0.418542 + 0.908197i \(0.362541\pi\)
\(968\) −4.72057 2.40525i −0.151725 0.0773076i
\(969\) 23.2616 + 7.55814i 0.747269 + 0.242802i
\(970\) −10.2325 + 18.4620i −0.328546 + 0.592779i
\(971\) 18.6116 + 13.5221i 0.597274 + 0.433945i 0.844910 0.534908i \(-0.179654\pi\)
−0.247636 + 0.968853i \(0.579654\pi\)
\(972\) −0.891007 0.453990i −0.0285790 0.0145618i
\(973\) −1.34213 8.47387i −0.0430267 0.271660i
\(974\) 20.9211 15.2001i 0.670356 0.487042i
\(975\) 12.7921 + 10.7318i 0.409677 + 0.343693i
\(976\) 3.22383 + 4.43723i 0.103192 + 0.142032i
\(977\) 9.62512 + 1.52447i 0.307935 + 0.0487721i 0.308490 0.951228i \(-0.400177\pi\)
−0.000554554 1.00000i \(0.500177\pi\)
\(978\) 14.5956 7.43683i 0.466716 0.237803i
\(979\) −11.1773 15.3842i −0.357227 0.491680i
\(980\) 8.05372 7.51093i 0.257267 0.239928i
\(981\) 2.83660 + 8.73015i 0.0905656 + 0.278732i
\(982\) 29.3593 4.65005i 0.936892 0.148389i
\(983\) −47.2435 + 24.0718i −1.50683 + 0.767770i −0.995779 0.0917784i \(-0.970745\pi\)
−0.511054 + 0.859548i \(0.670745\pi\)
\(984\) 1.98668 6.11436i 0.0633329 0.194919i
\(985\) 13.8299 17.7032i 0.440657 0.564070i
\(986\) −1.62921 −0.0518848
\(987\) 4.23962 4.23962i 0.134949 0.134949i
\(988\) −9.31589 + 18.2835i −0.296378 + 0.581675i
\(989\) 0.328959 + 0.452773i 0.0104603 + 0.0143973i
\(990\) −5.33622 0.186092i −0.169596 0.00591440i
\(991\) 21.5052i 0.683137i −0.939857 0.341568i \(-0.889042\pi\)
0.939857 0.341568i \(-0.110958\pi\)
\(992\) −1.51611 + 5.35737i −0.0481365 + 0.170097i
\(993\) 22.0993 22.0993i 0.701299 0.701299i
\(994\) 11.0839 15.2557i 0.351560 0.483880i
\(995\) −0.0963454 0.206588i −0.00305436 0.00654928i
\(996\) 5.01732 + 15.4417i 0.158980 + 0.489290i
\(997\) −21.3594 21.3594i −0.676458 0.676458i 0.282739 0.959197i \(-0.408757\pi\)
−0.959197 + 0.282739i \(0.908757\pi\)
\(998\) 6.69085 + 6.69085i 0.211795 + 0.211795i
\(999\) −2.21399 + 0.719370i −0.0700477 + 0.0227599i
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 930.2.bj.a.277.4 128
5.3 odd 4 930.2.bj.b.463.4 yes 128
31.15 odd 10 930.2.bj.b.697.4 yes 128
155.108 even 20 inner 930.2.bj.a.883.4 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bj.a.277.4 128 1.1 even 1 trivial
930.2.bj.a.883.4 yes 128 155.108 even 20 inner
930.2.bj.b.463.4 yes 128 5.3 odd 4
930.2.bj.b.697.4 yes 128 31.15 odd 10