Properties

Label 162.2.g.b.13.1
Level $162$
Weight $2$
Character 162.13
Analytic conductor $1.294$
Analytic rank $0$
Dimension $90$
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] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(90\)
Relative dimension: \(5\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 162.13
Dual form 162.2.g.b.25.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.893633 + 0.448799i) q^{2} +(-1.57770 - 0.714739i) q^{3} +(0.597159 + 0.802123i) q^{4} +(0.891212 + 2.97686i) q^{5} +(-1.08911 - 1.34679i) q^{6} +(0.275210 + 0.638009i) q^{7} +(0.173648 + 0.984808i) q^{8} +(1.97830 + 2.25529i) q^{9} +O(q^{10})\) \(q+(0.893633 + 0.448799i) q^{2} +(-1.57770 - 0.714739i) q^{3} +(0.597159 + 0.802123i) q^{4} +(0.891212 + 2.97686i) q^{5} +(-1.08911 - 1.34679i) q^{6} +(0.275210 + 0.638009i) q^{7} +(0.173648 + 0.984808i) q^{8} +(1.97830 + 2.25529i) q^{9} +(-0.539594 + 3.06019i) q^{10} +(5.37847 - 1.27472i) q^{11} +(-0.368831 - 1.69232i) q^{12} +(-2.73022 - 1.79570i) q^{13} +(-0.0404011 + 0.693660i) q^{14} +(0.721605 - 5.33358i) q^{15} +(-0.286803 + 0.957990i) q^{16} +(-4.35745 + 1.58598i) q^{17} +(0.755699 + 2.90326i) q^{18} +(-2.23534 - 0.813599i) q^{19} +(-1.85561 + 2.49252i) q^{20} +(0.0218094 - 1.20329i) q^{21} +(5.37847 + 1.27472i) q^{22} +(2.79341 - 6.47585i) q^{23} +(0.429915 - 1.67785i) q^{24} +(-3.88998 + 2.55848i) q^{25} +(-1.63391 - 2.83001i) q^{26} +(-1.50922 - 4.97215i) q^{27} +(-0.347418 + 0.601745i) q^{28} +(0.0802101 + 1.37715i) q^{29} +(3.03856 - 4.44241i) q^{30} +(-3.53161 + 0.412786i) q^{31} +(-0.686242 + 0.727374i) q^{32} +(-9.39673 - 1.83307i) q^{33} +(-4.60574 - 0.538334i) q^{34} +(-1.65399 + 1.38786i) q^{35} +(-0.627664 + 2.93360i) q^{36} +(-0.935772 - 0.785206i) q^{37} +(-1.63243 - 1.73028i) q^{38} +(3.02403 + 4.78447i) q^{39} +(-2.77687 + 1.39460i) q^{40} +(10.1420 - 5.09352i) q^{41} +(0.559527 - 1.06551i) q^{42} +(-6.37841 - 6.76072i) q^{43} +(4.23428 + 3.55299i) q^{44} +(-4.95059 + 7.89905i) q^{45} +(5.40264 - 4.53335i) q^{46} +(10.4074 + 1.21645i) q^{47} +(1.13720 - 1.30643i) q^{48} +(4.47238 - 4.74044i) q^{49} +(-4.62445 + 0.540521i) q^{50} +(8.00832 + 0.612227i) q^{51} +(-0.190007 - 3.26229i) q^{52} +(-2.11764 + 3.66786i) q^{53} +(0.882803 - 5.12061i) q^{54} +(8.58802 + 14.8749i) q^{55} +(-0.580527 + 0.381818i) q^{56} +(2.94520 + 2.88130i) q^{57} +(-0.546388 + 1.26667i) q^{58} +(-5.60397 - 1.32817i) q^{59} +(4.70910 - 2.60618i) q^{60} +(1.03387 - 1.38873i) q^{61} +(-3.34122 - 1.21611i) q^{62} +(-0.894449 + 1.88285i) q^{63} +(-0.939693 + 0.342020i) q^{64} +(2.91232 - 9.72783i) q^{65} +(-7.57454 - 5.85533i) q^{66} +(-0.0594932 + 1.02146i) q^{67} +(-3.87424 - 2.54813i) q^{68} +(-9.03571 + 8.22041i) q^{69} +(-2.10093 + 0.497930i) q^{70} +(-2.04677 + 11.6078i) q^{71} +(-1.87750 + 2.33987i) q^{72} +(1.49312 + 8.46788i) q^{73} +(-0.483836 - 1.12166i) q^{74} +(7.96587 - 1.25620i) q^{75} +(-0.682248 - 2.27887i) q^{76} +(2.29349 + 3.08070i) q^{77} +(0.555105 + 5.63274i) q^{78} +(-7.86088 - 3.94788i) q^{79} -3.10740 q^{80} +(-1.17268 + 8.92327i) q^{81} +11.3492 q^{82} +(-8.11371 - 4.07486i) q^{83} +(0.978213 - 0.701063i) q^{84} +(-8.60465 - 11.5580i) q^{85} +(-2.66575 - 8.90423i) q^{86} +(0.857758 - 2.23007i) q^{87} +(2.18932 + 5.07541i) q^{88} +(-0.642803 - 3.64552i) q^{89} +(-7.96910 + 4.83703i) q^{90} +(0.394285 - 2.23610i) q^{91} +(6.86253 - 1.62645i) q^{92} +(5.86687 + 1.87293i) q^{93} +(8.75447 + 5.75790i) q^{94} +(0.429800 - 7.37939i) q^{95} +(1.60257 - 0.657097i) q^{96} +(0.260981 - 0.871736i) q^{97} +(6.12417 - 2.22901i) q^{98} +(13.5151 + 9.60824i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 90 q - 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 90 q - 9 q^{6} - 18 q^{13} - 9 q^{18} - 9 q^{20} - 54 q^{21} + 27 q^{23} - 18 q^{25} - 27 q^{26} - 27 q^{27} - 18 q^{28} - 27 q^{29} + 9 q^{30} + 54 q^{31} - 63 q^{33} - 27 q^{35} - 9 q^{36} - 18 q^{38} - 9 q^{41} - 9 q^{42} - 36 q^{43} + 63 q^{45} + 18 q^{46} - 27 q^{47} - 9 q^{48} - 36 q^{51} + 36 q^{52} - 27 q^{53} - 54 q^{55} - 81 q^{57} - 9 q^{58} - 45 q^{59} - 63 q^{63} + 9 q^{65} + 36 q^{66} + 81 q^{67} + 36 q^{68} + 18 q^{69} - 72 q^{70} + 72 q^{71} + 18 q^{72} - 36 q^{73} + 45 q^{74} + 216 q^{75} - 18 q^{76} + 144 q^{77} + 54 q^{78} - 99 q^{79} + 18 q^{80} + 144 q^{81} + 72 q^{82} + 45 q^{83} + 18 q^{84} - 117 q^{85} + 72 q^{86} + 81 q^{87} - 18 q^{88} + 45 q^{89} + 162 q^{90} - 63 q^{91} + 36 q^{92} + 45 q^{93} - 72 q^{94} + 45 q^{95} + 18 q^{96} + 117 q^{97} + 36 q^{98} - 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{4}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.893633 + 0.448799i 0.631894 + 0.317349i
\(3\) −1.57770 0.714739i −0.910888 0.412654i
\(4\) 0.597159 + 0.802123i 0.298579 + 0.401062i
\(5\) 0.891212 + 2.97686i 0.398562 + 1.33129i 0.888237 + 0.459385i \(0.151930\pi\)
−0.489675 + 0.871905i \(0.662884\pi\)
\(6\) −1.08911 1.34679i −0.444629 0.549823i
\(7\) 0.275210 + 0.638009i 0.104020 + 0.241145i 0.962275 0.272078i \(-0.0877108\pi\)
−0.858256 + 0.513223i \(0.828452\pi\)
\(8\) 0.173648 + 0.984808i 0.0613939 + 0.348182i
\(9\) 1.97830 + 2.25529i 0.659433 + 0.751764i
\(10\) −0.539594 + 3.06019i −0.170635 + 0.967717i
\(11\) 5.37847 1.27472i 1.62167 0.384343i 0.683345 0.730096i \(-0.260525\pi\)
0.938325 + 0.345753i \(0.112377\pi\)
\(12\) −0.368831 1.69232i −0.106472 0.488532i
\(13\) −2.73022 1.79570i −0.757227 0.498036i 0.111233 0.993794i \(-0.464520\pi\)
−0.868461 + 0.495758i \(0.834890\pi\)
\(14\) −0.0404011 + 0.693660i −0.0107976 + 0.185388i
\(15\) 0.721605 5.33358i 0.186318 1.37712i
\(16\) −0.286803 + 0.957990i −0.0717008 + 0.239497i
\(17\) −4.35745 + 1.58598i −1.05684 + 0.384657i −0.811239 0.584715i \(-0.801206\pi\)
−0.245597 + 0.969372i \(0.578984\pi\)
\(18\) 0.755699 + 2.90326i 0.178120 + 0.684305i
\(19\) −2.23534 0.813599i −0.512823 0.186652i 0.0726295 0.997359i \(-0.476861\pi\)
−0.585453 + 0.810707i \(0.699083\pi\)
\(20\) −1.85561 + 2.49252i −0.414927 + 0.557344i
\(21\) 0.0218094 1.20329i 0.00475921 0.262580i
\(22\) 5.37847 + 1.27472i 1.14669 + 0.271771i
\(23\) 2.79341 6.47585i 0.582466 1.35031i −0.331092 0.943598i \(-0.607417\pi\)
0.913558 0.406709i \(-0.133324\pi\)
\(24\) 0.429915 1.67785i 0.0877560 0.342489i
\(25\) −3.88998 + 2.55848i −0.777995 + 0.511695i
\(26\) −1.63391 2.83001i −0.320436 0.555011i
\(27\) −1.50922 4.97215i −0.290450 0.956890i
\(28\) −0.347418 + 0.601745i −0.0656558 + 0.113719i
\(29\) 0.0802101 + 1.37715i 0.0148946 + 0.255731i 0.997533 + 0.0701997i \(0.0223637\pi\)
−0.982638 + 0.185532i \(0.940599\pi\)
\(30\) 3.03856 4.44241i 0.554762 0.811069i
\(31\) −3.53161 + 0.412786i −0.634296 + 0.0741386i −0.427164 0.904174i \(-0.640487\pi\)
−0.207133 + 0.978313i \(0.566413\pi\)
\(32\) −0.686242 + 0.727374i −0.121312 + 0.128583i
\(33\) −9.39673 1.83307i −1.63576 0.319096i
\(34\) −4.60574 0.538334i −0.789879 0.0923236i
\(35\) −1.65399 + 1.38786i −0.279576 + 0.234592i
\(36\) −0.627664 + 2.93360i −0.104611 + 0.488934i
\(37\) −0.935772 0.785206i −0.153840 0.129087i 0.562619 0.826716i \(-0.309794\pi\)
−0.716459 + 0.697629i \(0.754238\pi\)
\(38\) −1.63243 1.73028i −0.264816 0.280688i
\(39\) 3.02403 + 4.78447i 0.484232 + 0.766128i
\(40\) −2.77687 + 1.39460i −0.439062 + 0.220505i
\(41\) 10.1420 5.09352i 1.58392 0.795474i 0.584052 0.811716i \(-0.301466\pi\)
0.999868 + 0.0162419i \(0.00517017\pi\)
\(42\) 0.559527 1.06551i 0.0863368 0.164412i
\(43\) −6.37841 6.76072i −0.972699 1.03100i −0.999508 0.0313600i \(-0.990016\pi\)
0.0268093 0.999641i \(-0.491465\pi\)
\(44\) 4.23428 + 3.55299i 0.638342 + 0.535633i
\(45\) −4.95059 + 7.89905i −0.737991 + 1.17752i
\(46\) 5.40264 4.53335i 0.796575 0.668406i
\(47\) 10.4074 + 1.21645i 1.51808 + 0.177438i 0.833916 0.551892i \(-0.186094\pi\)
0.684162 + 0.729330i \(0.260168\pi\)
\(48\) 1.13720 1.30643i 0.164141 0.188568i
\(49\) 4.47238 4.74044i 0.638911 0.677206i
\(50\) −4.62445 + 0.540521i −0.653996 + 0.0764412i
\(51\) 8.00832 + 0.612227i 1.12139 + 0.0857289i
\(52\) −0.190007 3.26229i −0.0263492 0.452398i
\(53\) −2.11764 + 3.66786i −0.290880 + 0.503819i −0.974018 0.226470i \(-0.927281\pi\)
0.683138 + 0.730289i \(0.260615\pi\)
\(54\) 0.882803 5.12061i 0.120134 0.696827i
\(55\) 8.58802 + 14.8749i 1.15801 + 2.00573i
\(56\) −0.580527 + 0.381818i −0.0775762 + 0.0510226i
\(57\) 2.94520 + 2.88130i 0.390101 + 0.381638i
\(58\) −0.546388 + 1.26667i −0.0717442 + 0.166322i
\(59\) −5.60397 1.32817i −0.729575 0.172913i −0.150991 0.988535i \(-0.548246\pi\)
−0.578584 + 0.815623i \(0.696395\pi\)
\(60\) 4.70910 2.60618i 0.607942 0.336456i
\(61\) 1.03387 1.38873i 0.132374 0.177809i −0.730994 0.682384i \(-0.760943\pi\)
0.863368 + 0.504575i \(0.168351\pi\)
\(62\) −3.34122 1.21611i −0.424336 0.154446i
\(63\) −0.894449 + 1.88285i −0.112690 + 0.237217i
\(64\) −0.939693 + 0.342020i −0.117462 + 0.0427525i
\(65\) 2.91232 9.72783i 0.361229 1.20659i
\(66\) −7.57454 5.85533i −0.932362 0.720742i
\(67\) −0.0594932 + 1.02146i −0.00726825 + 0.124791i 0.992722 + 0.120427i \(0.0384263\pi\)
−0.999990 + 0.00436439i \(0.998611\pi\)
\(68\) −3.87424 2.54813i −0.469821 0.309006i
\(69\) −9.03571 + 8.22041i −1.08777 + 0.989621i
\(70\) −2.10093 + 0.497930i −0.251109 + 0.0595140i
\(71\) −2.04677 + 11.6078i −0.242907 + 1.37759i 0.582397 + 0.812904i \(0.302115\pi\)
−0.825304 + 0.564688i \(0.808996\pi\)
\(72\) −1.87750 + 2.33987i −0.221266 + 0.275756i
\(73\) 1.49312 + 8.46788i 0.174756 + 0.991090i 0.938425 + 0.345482i \(0.112285\pi\)
−0.763669 + 0.645608i \(0.776604\pi\)
\(74\) −0.483836 1.12166i −0.0562448 0.130390i
\(75\) 7.96587 1.25620i 0.919819 0.145054i
\(76\) −0.682248 2.27887i −0.0782593 0.261404i
\(77\) 2.29349 + 3.08070i 0.261368 + 0.351078i
\(78\) 0.555105 + 5.63274i 0.0628532 + 0.637782i
\(79\) −7.86088 3.94788i −0.884418 0.444171i −0.0522107 0.998636i \(-0.516627\pi\)
−0.832207 + 0.554465i \(0.812923\pi\)
\(80\) −3.10740 −0.347418
\(81\) −1.17268 + 8.92327i −0.130297 + 0.991475i
\(82\) 11.3492 1.25331
\(83\) −8.11371 4.07486i −0.890596 0.447274i −0.0561870 0.998420i \(-0.517894\pi\)
−0.834409 + 0.551146i \(0.814191\pi\)
\(84\) 0.978213 0.701063i 0.106732 0.0764922i
\(85\) −8.60465 11.5580i −0.933305 1.25365i
\(86\) −2.66575 8.90423i −0.287455 0.960168i
\(87\) 0.857758 2.23007i 0.0919613 0.239089i
\(88\) 2.18932 + 5.07541i 0.233382 + 0.541040i
\(89\) −0.642803 3.64552i −0.0681370 0.386424i −0.999737 0.0229387i \(-0.992698\pi\)
0.931600 0.363485i \(-0.118413\pi\)
\(90\) −7.96910 + 4.83703i −0.840017 + 0.509867i
\(91\) 0.394285 2.23610i 0.0413323 0.234407i
\(92\) 6.86253 1.62645i 0.715469 0.169569i
\(93\) 5.86687 + 1.87293i 0.608366 + 0.194213i
\(94\) 8.75447 + 5.75790i 0.902954 + 0.593882i
\(95\) 0.429800 7.37939i 0.0440966 0.757109i
\(96\) 1.60257 0.657097i 0.163561 0.0670647i
\(97\) 0.260981 0.871736i 0.0264986 0.0885113i −0.943717 0.330753i \(-0.892697\pi\)
0.970216 + 0.242241i \(0.0778826\pi\)
\(98\) 6.12417 2.22901i 0.618634 0.225165i
\(99\) 13.5151 + 9.60824i 1.35832 + 0.965664i
\(100\) −4.37515 1.59242i −0.437515 0.159242i
\(101\) −11.7954 + 15.8440i −1.17368 + 1.57653i −0.438391 + 0.898785i \(0.644451\pi\)
−0.735294 + 0.677748i \(0.762956\pi\)
\(102\) 6.88173 + 4.14123i 0.681393 + 0.410043i
\(103\) 5.78007 + 1.36990i 0.569527 + 0.134980i 0.505283 0.862954i \(-0.331388\pi\)
0.0642442 + 0.997934i \(0.479536\pi\)
\(104\) 1.29432 3.00056i 0.126918 0.294229i
\(105\) 3.60147 1.00747i 0.351467 0.0983186i
\(106\) −3.53852 + 2.32732i −0.343692 + 0.226050i
\(107\) −1.62313 2.81135i −0.156914 0.271783i 0.776840 0.629698i \(-0.216821\pi\)
−0.933754 + 0.357914i \(0.883488\pi\)
\(108\) 3.08703 4.17974i 0.297049 0.402196i
\(109\) 4.22282 7.31415i 0.404473 0.700568i −0.589787 0.807559i \(-0.700788\pi\)
0.994260 + 0.106991i \(0.0341215\pi\)
\(110\) 0.998698 + 17.1470i 0.0952221 + 1.63490i
\(111\) 0.915154 + 1.90765i 0.0868625 + 0.181067i
\(112\) −0.690137 + 0.0806655i −0.0652119 + 0.00762217i
\(113\) −7.98089 + 8.45925i −0.750779 + 0.795779i −0.984287 0.176576i \(-0.943498\pi\)
0.233508 + 0.972355i \(0.424980\pi\)
\(114\) 1.33880 + 3.89663i 0.125390 + 0.364953i
\(115\) 21.7672 + 2.54422i 2.02980 + 0.237250i
\(116\) −1.05675 + 0.886718i −0.0981168 + 0.0823297i
\(117\) −1.35138 9.70987i −0.124935 0.897677i
\(118\) −4.41181 3.70195i −0.406140 0.340792i
\(119\) −2.21109 2.34361i −0.202690 0.214839i
\(120\) 5.37786 0.215524i 0.490929 0.0196746i
\(121\) 17.4731 8.77531i 1.58846 0.797755i
\(122\) 1.54717 0.777016i 0.140074 0.0703478i
\(123\) −19.6417 + 0.787165i −1.77103 + 0.0709762i
\(124\) −2.44004 2.58629i −0.219122 0.232256i
\(125\) 0.819020 + 0.687239i 0.0732553 + 0.0614685i
\(126\) −1.64433 + 1.28115i −0.146489 + 0.114134i
\(127\) −7.51805 + 6.30840i −0.667119 + 0.559780i −0.912211 0.409720i \(-0.865626\pi\)
0.245092 + 0.969500i \(0.421182\pi\)
\(128\) −0.993238 0.116093i −0.0877907 0.0102613i
\(129\) 5.23110 + 15.2253i 0.460572 + 1.34051i
\(130\) 6.96838 7.38606i 0.611168 0.647800i
\(131\) −18.3590 + 2.14586i −1.60403 + 0.187484i −0.870499 0.492169i \(-0.836204\pi\)
−0.733533 + 0.679654i \(0.762130\pi\)
\(132\) −4.14099 8.63196i −0.360427 0.751316i
\(133\) −0.0961063 1.65008i −0.00833347 0.143080i
\(134\) −0.511595 + 0.886109i −0.0441951 + 0.0765481i
\(135\) 13.4563 8.92398i 1.15814 0.768054i
\(136\) −2.31855 4.01585i −0.198814 0.344356i
\(137\) 12.2593 8.06304i 1.04738 0.688872i 0.0955257 0.995427i \(-0.469547\pi\)
0.951853 + 0.306555i \(0.0991764\pi\)
\(138\) −11.7639 + 3.29081i −1.00141 + 0.280132i
\(139\) 5.07402 11.7629i 0.430373 0.997716i −0.555697 0.831385i \(-0.687549\pi\)
0.986070 0.166331i \(-0.0531921\pi\)
\(140\) −2.10093 0.497930i −0.177561 0.0420828i
\(141\) −15.5504 9.35779i −1.30958 0.788068i
\(142\) −7.03863 + 9.45452i −0.590669 + 0.793406i
\(143\) −16.9734 6.17782i −1.41939 0.516616i
\(144\) −2.72793 + 1.24836i −0.227327 + 0.104030i
\(145\) −4.02811 + 1.46611i −0.334516 + 0.121754i
\(146\) −2.46608 + 8.23728i −0.204094 + 0.681722i
\(147\) −10.4443 + 4.28243i −0.861428 + 0.353209i
\(148\) 0.0710276 1.21950i 0.00583843 0.100242i
\(149\) 14.8005 + 9.73443i 1.21250 + 0.797476i 0.984363 0.176153i \(-0.0563652\pi\)
0.228140 + 0.973628i \(0.426736\pi\)
\(150\) 7.68234 + 2.45249i 0.627261 + 0.200245i
\(151\) 15.3504 3.63812i 1.24920 0.296066i 0.447768 0.894150i \(-0.352219\pi\)
0.801434 + 0.598084i \(0.204071\pi\)
\(152\) 0.413075 2.34266i 0.0335048 0.190015i
\(153\) −12.1972 6.68977i −0.986083 0.540836i
\(154\) 0.666927 + 3.78233i 0.0537425 + 0.304789i
\(155\) −4.37622 10.1452i −0.351507 0.814884i
\(156\) −2.03191 + 5.28273i −0.162683 + 0.422957i
\(157\) 0.902664 + 3.01511i 0.0720404 + 0.240632i 0.986424 0.164216i \(-0.0525096\pi\)
−0.914384 + 0.404848i \(0.867324\pi\)
\(158\) −5.25293 7.05591i −0.417901 0.561338i
\(159\) 5.96257 4.27324i 0.472863 0.338890i
\(160\) −2.77687 1.39460i −0.219531 0.110253i
\(161\) 4.90043 0.386208
\(162\) −5.05270 + 7.44783i −0.396978 + 0.585157i
\(163\) −10.6732 −0.835986 −0.417993 0.908450i \(-0.637266\pi\)
−0.417993 + 0.908450i \(0.637266\pi\)
\(164\) 10.1420 + 5.09352i 0.791960 + 0.397737i
\(165\) −2.91770 29.6064i −0.227142 2.30485i
\(166\) −5.42188 7.28285i −0.420820 0.565259i
\(167\) −0.546468 1.82533i −0.0422870 0.141248i 0.934239 0.356647i \(-0.116080\pi\)
−0.976526 + 0.215399i \(0.930895\pi\)
\(168\) 1.18880 0.187472i 0.0917179 0.0144637i
\(169\) −0.919445 2.13151i −0.0707265 0.163963i
\(170\) −2.50215 14.1904i −0.191906 1.08835i
\(171\) −2.58727 6.65089i −0.197854 0.508606i
\(172\) 1.61401 9.15350i 0.123067 0.697948i
\(173\) 1.41829 0.336142i 0.107831 0.0255564i −0.176346 0.984328i \(-0.556428\pi\)
0.284177 + 0.958772i \(0.408280\pi\)
\(174\) 1.76737 1.60790i 0.133984 0.121895i
\(175\) −2.70289 1.77772i −0.204320 0.134383i
\(176\) −0.321393 + 5.51811i −0.0242259 + 0.415943i
\(177\) 7.89212 + 6.10083i 0.593208 + 0.458566i
\(178\) 1.06168 3.54624i 0.0795759 0.265802i
\(179\) 3.40456 1.23916i 0.254469 0.0926191i −0.211636 0.977349i \(-0.567879\pi\)
0.466105 + 0.884729i \(0.345657\pi\)
\(180\) −9.29230 + 0.746000i −0.692607 + 0.0556035i
\(181\) −20.8444 7.58675i −1.54935 0.563919i −0.581088 0.813841i \(-0.697373\pi\)
−0.968266 + 0.249922i \(0.919595\pi\)
\(182\) 1.35591 1.82130i 0.100506 0.135004i
\(183\) −2.62373 + 1.45206i −0.193952 + 0.107339i
\(184\) 6.86253 + 1.62645i 0.505913 + 0.119904i
\(185\) 1.50347 3.48544i 0.110538 0.256255i
\(186\) 4.40226 + 4.30675i 0.322790 + 0.315787i
\(187\) −21.4147 + 14.0847i −1.56600 + 1.02997i
\(188\) 5.23914 + 9.07445i 0.382103 + 0.661822i
\(189\) 2.75692 2.33129i 0.200537 0.169576i
\(190\) 3.69595 6.40157i 0.268132 0.464418i
\(191\) 0.340269 + 5.84219i 0.0246210 + 0.422726i 0.987987 + 0.154536i \(0.0493883\pi\)
−0.963366 + 0.268190i \(0.913575\pi\)
\(192\) 1.72701 + 0.132028i 0.124636 + 0.00952830i
\(193\) −14.3530 + 1.67762i −1.03315 + 0.120758i −0.615731 0.787957i \(-0.711139\pi\)
−0.417418 + 0.908714i \(0.637065\pi\)
\(194\) 0.624455 0.661884i 0.0448333 0.0475205i
\(195\) −11.5476 + 13.2661i −0.826943 + 0.950004i
\(196\) 6.47314 + 0.756601i 0.462367 + 0.0540429i
\(197\) −3.66493 + 3.07525i −0.261116 + 0.219102i −0.763941 0.645286i \(-0.776738\pi\)
0.502825 + 0.864388i \(0.332294\pi\)
\(198\) 7.76535 + 14.6518i 0.551859 + 1.04126i
\(199\) 11.9225 + 10.0042i 0.845166 + 0.709178i 0.958719 0.284354i \(-0.0917790\pi\)
−0.113554 + 0.993532i \(0.536223\pi\)
\(200\) −3.19509 3.38660i −0.225927 0.239469i
\(201\) 0.823939 1.56904i 0.0581162 0.110671i
\(202\) −17.6515 + 8.86492i −1.24196 + 0.623733i
\(203\) −0.856563 + 0.430182i −0.0601189 + 0.0301929i
\(204\) 4.29116 + 6.78926i 0.300441 + 0.475343i
\(205\) 24.2014 + 25.6520i 1.69030 + 1.79161i
\(206\) 4.55045 + 3.81828i 0.317045 + 0.266032i
\(207\) 20.1311 6.51121i 1.39921 0.452560i
\(208\) 2.50329 2.10051i 0.173572 0.145644i
\(209\) −13.0598 1.52648i −0.903368 0.105589i
\(210\) 3.67054 + 0.716031i 0.253291 + 0.0494108i
\(211\) −10.1033 + 10.7089i −0.695542 + 0.737231i −0.974824 0.222978i \(-0.928422\pi\)
0.279282 + 0.960209i \(0.409904\pi\)
\(212\) −4.20664 + 0.491686i −0.288913 + 0.0337691i
\(213\) 11.5257 16.8508i 0.789731 1.15460i
\(214\) −0.188754 3.24077i −0.0129029 0.221535i
\(215\) 14.4412 25.0129i 0.984880 1.70586i
\(216\) 4.63453 2.34970i 0.315340 0.159877i
\(217\) −1.23530 2.13960i −0.0838575 0.145245i
\(218\) 7.05624 4.64096i 0.477909 0.314325i
\(219\) 3.69662 14.4270i 0.249795 0.974886i
\(220\) −6.80308 + 15.7713i −0.458664 + 1.06330i
\(221\) 14.7447 + 3.49457i 0.991838 + 0.235070i
\(222\) −0.0383423 + 2.11546i −0.00257337 + 0.141981i
\(223\) 6.19591 8.32255i 0.414909 0.557319i −0.544710 0.838625i \(-0.683360\pi\)
0.959618 + 0.281306i \(0.0907675\pi\)
\(224\) −0.652932 0.237648i −0.0436259 0.0158785i
\(225\) −13.4656 3.71160i −0.897709 0.247440i
\(226\) −10.9285 + 3.97765i −0.726952 + 0.264589i
\(227\) 2.85714 9.54350i 0.189635 0.633424i −0.809305 0.587389i \(-0.800156\pi\)
0.998940 0.0460357i \(-0.0146588\pi\)
\(228\) −0.552409 + 4.08301i −0.0365842 + 0.270404i
\(229\) −1.21402 + 20.8439i −0.0802247 + 1.37740i 0.682597 + 0.730795i \(0.260851\pi\)
−0.762821 + 0.646609i \(0.776186\pi\)
\(230\) 18.3100 + 12.0427i 1.20733 + 0.794072i
\(231\) −1.41656 6.49968i −0.0932029 0.427647i
\(232\) −1.34230 + 0.318132i −0.0881266 + 0.0208864i
\(233\) −2.00393 + 11.3648i −0.131282 + 0.744535i 0.846095 + 0.533031i \(0.178947\pi\)
−0.977377 + 0.211504i \(0.932164\pi\)
\(234\) 3.15015 9.28355i 0.205931 0.606885i
\(235\) 5.65402 + 32.0655i 0.368827 + 2.09172i
\(236\) −2.28111 5.28820i −0.148488 0.344233i
\(237\) 9.58043 + 11.8471i 0.622316 + 0.769549i
\(238\) −0.924086 3.08666i −0.0598996 0.200079i
\(239\) 1.72538 + 2.31759i 0.111606 + 0.149913i 0.854416 0.519589i \(-0.173915\pi\)
−0.742810 + 0.669502i \(0.766508\pi\)
\(240\) 4.90256 + 2.22098i 0.316459 + 0.143364i
\(241\) 0.0473887 + 0.0237995i 0.00305257 + 0.00153306i 0.450325 0.892865i \(-0.351308\pi\)
−0.447272 + 0.894398i \(0.647604\pi\)
\(242\) 19.5529 1.25691
\(243\) 8.22794 13.2401i 0.527823 0.849355i
\(244\) 1.73132 0.110837
\(245\) 18.0975 + 9.08888i 1.15620 + 0.580667i
\(246\) −17.9057 8.11173i −1.14163 0.517185i
\(247\) 4.64201 + 6.23530i 0.295364 + 0.396743i
\(248\) −1.01977 3.40628i −0.0647557 0.216299i
\(249\) 9.88857 + 12.2281i 0.626663 + 0.774925i
\(250\) 0.423470 + 0.981715i 0.0267826 + 0.0620891i
\(251\) 1.45888 + 8.27374i 0.0920839 + 0.522234i 0.995602 + 0.0936838i \(0.0298643\pi\)
−0.903518 + 0.428550i \(0.859025\pi\)
\(252\) −2.04441 + 0.406903i −0.128786 + 0.0256325i
\(253\) 6.76936 38.3910i 0.425586 2.41362i
\(254\) −9.54958 + 2.26329i −0.599194 + 0.142012i
\(255\) 5.31460 + 24.3852i 0.332813 + 1.52706i
\(256\) −0.835488 0.549509i −0.0522180 0.0343443i
\(257\) 0.825207 14.1683i 0.0514750 0.883792i −0.869442 0.494034i \(-0.835522\pi\)
0.920917 0.389758i \(-0.127441\pi\)
\(258\) −2.15843 + 15.9535i −0.134378 + 0.993225i
\(259\) 0.243434 0.813128i 0.0151263 0.0505253i
\(260\) 9.54203 3.47302i 0.591772 0.215387i
\(261\) −2.94721 + 2.90532i −0.182427 + 0.179835i
\(262\) −17.3693 6.32189i −1.07308 0.390568i
\(263\) −14.3710 + 19.3035i −0.886151 + 1.19031i 0.0946919 + 0.995507i \(0.469813\pi\)
−0.980843 + 0.194801i \(0.937594\pi\)
\(264\) 0.173496 9.57228i 0.0106779 0.589133i
\(265\) −12.8060 3.03507i −0.786664 0.186443i
\(266\) 0.654671 1.51770i 0.0401405 0.0930561i
\(267\) −1.59144 + 6.21098i −0.0973945 + 0.380106i
\(268\) −0.854863 + 0.562252i −0.0522191 + 0.0343450i
\(269\) 4.00049 + 6.92906i 0.243914 + 0.422472i 0.961826 0.273662i \(-0.0882351\pi\)
−0.717911 + 0.696134i \(0.754902\pi\)
\(270\) 16.0301 1.93557i 0.975560 0.117795i
\(271\) 1.88940 3.27253i 0.114773 0.198792i −0.802916 0.596092i \(-0.796719\pi\)
0.917689 + 0.397300i \(0.130053\pi\)
\(272\) −0.269623 4.62925i −0.0163483 0.280690i
\(273\) −2.22029 + 3.24609i −0.134378 + 0.196463i
\(274\) 14.5740 1.70345i 0.880445 0.102909i
\(275\) −17.6608 + 18.7193i −1.06498 + 1.12882i
\(276\) −11.9895 2.33886i −0.721685 0.140783i
\(277\) −9.30469 1.08756i −0.559064 0.0653453i −0.168132 0.985765i \(-0.553773\pi\)
−0.390933 + 0.920419i \(0.627847\pi\)
\(278\) 9.81349 8.23449i 0.588574 0.493872i
\(279\) −7.91754 7.14820i −0.474010 0.427952i
\(280\) −1.65399 1.38786i −0.0988449 0.0829407i
\(281\) −5.32890 5.64830i −0.317895 0.336949i 0.548646 0.836055i \(-0.315144\pi\)
−0.866541 + 0.499105i \(0.833662\pi\)
\(282\) −9.69656 15.3414i −0.577422 0.913568i
\(283\) −17.1311 + 8.60354i −1.01834 + 0.511427i −0.877992 0.478676i \(-0.841117\pi\)
−0.140344 + 0.990103i \(0.544821\pi\)
\(284\) −10.5331 + 5.28994i −0.625026 + 0.313900i
\(285\) −5.95243 + 11.3353i −0.352591 + 0.671445i
\(286\) −12.3954 13.1384i −0.732956 0.776888i
\(287\) 6.04091 + 5.06892i 0.356584 + 0.299209i
\(288\) −2.99803 0.108713i −0.176661 0.00640598i
\(289\) 3.44925 2.89427i 0.202897 0.170251i
\(290\) −4.25764 0.497647i −0.250017 0.0292228i
\(291\) −1.03481 + 1.18881i −0.0606618 + 0.0696891i
\(292\) −5.90065 + 6.25433i −0.345310 + 0.366007i
\(293\) 17.5250 2.04838i 1.02382 0.119668i 0.412425 0.910991i \(-0.364682\pi\)
0.611398 + 0.791324i \(0.290608\pi\)
\(294\) −11.2553 0.860454i −0.656422 0.0501827i
\(295\) −1.04057 17.8659i −0.0605844 1.04019i
\(296\) 0.610782 1.05790i 0.0355010 0.0614895i
\(297\) −14.4554 24.8187i −0.838788 1.44013i
\(298\) 8.85739 + 15.3415i 0.513095 + 0.888706i
\(299\) −19.2553 + 12.6644i −1.11356 + 0.732401i
\(300\) 5.76452 + 5.63946i 0.332815 + 0.325594i
\(301\) 2.55800 5.93011i 0.147441 0.341806i
\(302\) 15.3504 + 3.63812i 0.883319 + 0.209350i
\(303\) 29.9339 16.5664i 1.71966 0.951718i
\(304\) 1.42052 1.90809i 0.0814726 0.109437i
\(305\) 5.05546 + 1.84004i 0.289475 + 0.105360i
\(306\) −7.89743 11.4523i −0.451466 0.654683i
\(307\) −12.9189 + 4.70209i −0.737320 + 0.268363i −0.683260 0.730175i \(-0.739438\pi\)
−0.0540601 + 0.998538i \(0.517216\pi\)
\(308\) −1.10152 + 3.67933i −0.0627649 + 0.209649i
\(309\) −8.14011 6.29254i −0.463075 0.357970i
\(310\) 0.642433 11.0301i 0.0364877 0.626470i
\(311\) 14.9898 + 9.85896i 0.849995 + 0.559050i 0.898100 0.439792i \(-0.144948\pi\)
−0.0481050 + 0.998842i \(0.515318\pi\)
\(312\) −4.18667 + 3.80890i −0.237023 + 0.215637i
\(313\) 4.64166 1.10009i 0.262362 0.0621810i −0.0973294 0.995252i \(-0.531030\pi\)
0.359692 + 0.933071i \(0.382882\pi\)
\(314\) −0.546528 + 3.09951i −0.0308423 + 0.174916i
\(315\) −6.40212 0.984625i −0.360719 0.0554773i
\(316\) −1.52750 8.66290i −0.0859288 0.487326i
\(317\) −1.95397 4.52981i −0.109746 0.254420i 0.854489 0.519470i \(-0.173871\pi\)
−0.964235 + 0.265050i \(0.914611\pi\)
\(318\) 7.24617 1.14271i 0.406345 0.0640799i
\(319\) 2.18690 + 7.30474i 0.122443 + 0.408987i
\(320\) −1.85561 2.49252i −0.103732 0.139336i
\(321\) 0.551444 + 5.59559i 0.0307786 + 0.312315i
\(322\) 4.37918 + 2.19931i 0.244042 + 0.122563i
\(323\) 11.0307 0.613767
\(324\) −7.85784 + 4.38798i −0.436547 + 0.243777i
\(325\) 15.2147 0.843962
\(326\) −9.53788 4.79010i −0.528254 0.265299i
\(327\) −11.8901 + 8.52134i −0.657522 + 0.471231i
\(328\) 6.77729 + 9.10348i 0.374213 + 0.502655i
\(329\) 2.08812 + 6.97481i 0.115122 + 0.384534i
\(330\) 10.6800 27.7667i 0.587912 1.52850i
\(331\) 8.20945 + 19.0316i 0.451232 + 1.04607i 0.980304 + 0.197497i \(0.0632812\pi\)
−0.529071 + 0.848577i \(0.677460\pi\)
\(332\) −1.57663 8.94153i −0.0865290 0.490730i
\(333\) −0.0803676 3.66381i −0.00440412 0.200775i
\(334\) 0.330865 1.87643i 0.0181041 0.102674i
\(335\) −3.09376 + 0.733234i −0.169030 + 0.0400609i
\(336\) 1.14649 + 0.366002i 0.0625460 + 0.0199670i
\(337\) 23.4132 + 15.3991i 1.27540 + 0.838843i 0.992729 0.120374i \(-0.0384095\pi\)
0.282670 + 0.959217i \(0.408780\pi\)
\(338\) 0.134975 2.31744i 0.00734169 0.126052i
\(339\) 18.6376 7.64194i 1.01226 0.415053i
\(340\) 4.13264 13.8040i 0.224124 0.748626i
\(341\) −18.4685 + 6.72198i −1.00012 + 0.364016i
\(342\) 0.672842 7.10462i 0.0363831 0.384174i
\(343\) 8.82581 + 3.21233i 0.476549 + 0.173450i
\(344\) 5.55041 7.45550i 0.299258 0.401973i
\(345\) −32.5237 19.5719i −1.75102 1.05371i
\(346\) 1.41829 + 0.336142i 0.0762480 + 0.0180711i
\(347\) 4.31805 10.0104i 0.231805 0.537384i −0.762121 0.647435i \(-0.775842\pi\)
0.993926 + 0.110050i \(0.0351011\pi\)
\(348\) 2.30101 0.643679i 0.123347 0.0345048i
\(349\) 13.5397 8.90522i 0.724765 0.476685i −0.132747 0.991150i \(-0.542380\pi\)
0.857512 + 0.514465i \(0.172009\pi\)
\(350\) −1.61755 2.80169i −0.0864619 0.149756i
\(351\) −4.80794 + 16.2852i −0.256629 + 0.869238i
\(352\) −2.76373 + 4.78692i −0.147307 + 0.255144i
\(353\) −1.59059 27.3094i −0.0846586 1.45353i −0.726749 0.686903i \(-0.758970\pi\)
0.642090 0.766629i \(-0.278067\pi\)
\(354\) 4.31461 + 8.99388i 0.229319 + 0.478019i
\(355\) −36.3789 + 4.25208i −1.93079 + 0.225677i
\(356\) 2.54030 2.69256i 0.134636 0.142705i
\(357\) 1.81337 + 5.27788i 0.0959735 + 0.279335i
\(358\) 3.59856 + 0.420611i 0.190190 + 0.0222300i
\(359\) −4.66035 + 3.91050i −0.245964 + 0.206388i −0.757432 0.652914i \(-0.773546\pi\)
0.511468 + 0.859302i \(0.329102\pi\)
\(360\) −8.63871 3.50373i −0.455300 0.184663i
\(361\) −10.2200 8.57562i −0.537896 0.451348i
\(362\) −15.2223 16.1347i −0.800068 0.848023i
\(363\) −33.8394 + 1.35616i −1.77611 + 0.0711798i
\(364\) 2.02908 1.01904i 0.106353 0.0534123i
\(365\) −23.8770 + 11.9915i −1.24978 + 0.627662i
\(366\) −2.99633 + 0.120082i −0.156621 + 0.00627678i
\(367\) −12.3462 13.0862i −0.644468 0.683096i 0.319963 0.947430i \(-0.396329\pi\)
−0.964431 + 0.264334i \(0.914848\pi\)
\(368\) 5.40264 + 4.53335i 0.281632 + 0.236317i
\(369\) 31.5513 + 12.7967i 1.64250 + 0.666172i
\(370\) 2.90782 2.43995i 0.151170 0.126847i
\(371\) −2.92293 0.341641i −0.151751 0.0177371i
\(372\) 2.00114 + 5.82439i 0.103754 + 0.301980i
\(373\) 16.3827 17.3646i 0.848262 0.899106i −0.147686 0.989034i \(-0.547182\pi\)
0.995948 + 0.0899288i \(0.0286639\pi\)
\(374\) −25.4581 + 2.97562i −1.31641 + 0.153866i
\(375\) −0.800974 1.66964i −0.0413621 0.0862201i
\(376\) 0.609257 + 10.4605i 0.0314200 + 0.539461i
\(377\) 2.25396 3.90397i 0.116085 0.201065i
\(378\) 3.50995 0.846008i 0.180533 0.0435140i
\(379\) −11.8242 20.4801i −0.607367 1.05199i −0.991673 0.128785i \(-0.958892\pi\)
0.384305 0.923206i \(-0.374441\pi\)
\(380\) 6.17584 4.06191i 0.316814 0.208372i
\(381\) 16.3701 4.57934i 0.838666 0.234607i
\(382\) −2.31789 + 5.37348i −0.118594 + 0.274931i
\(383\) −13.8773 3.28898i −0.709097 0.168059i −0.139787 0.990182i \(-0.544642\pi\)
−0.569311 + 0.822123i \(0.692790\pi\)
\(384\) 1.48406 + 0.893066i 0.0757331 + 0.0455741i
\(385\) −7.12681 + 9.57296i −0.363216 + 0.487883i
\(386\) −13.5792 4.94242i −0.691163 0.251563i
\(387\) 2.62900 27.7599i 0.133639 1.41112i
\(388\) 0.855086 0.311226i 0.0434104 0.0158001i
\(389\) 10.2329 34.1803i 0.518829 1.73301i −0.149135 0.988817i \(-0.547649\pi\)
0.667964 0.744193i \(-0.267166\pi\)
\(390\) −16.2731 + 6.67243i −0.824023 + 0.337872i
\(391\) −1.90156 + 32.6485i −0.0961658 + 1.65110i
\(392\) 5.44504 + 3.58126i 0.275016 + 0.180881i
\(393\) 30.4988 + 9.73635i 1.53846 + 0.491134i
\(394\) −4.65527 + 1.10332i −0.234529 + 0.0555845i
\(395\) 4.74656 26.9191i 0.238826 1.35445i
\(396\) 0.363656 + 16.5784i 0.0182744 + 0.833096i
\(397\) 4.23676 + 24.0278i 0.212637 + 1.20592i 0.884961 + 0.465666i \(0.154185\pi\)
−0.672324 + 0.740257i \(0.734704\pi\)
\(398\) 6.16449 + 14.2909i 0.308998 + 0.716338i
\(399\) −1.02775 + 2.67203i −0.0514518 + 0.133769i
\(400\) −1.33534 4.46033i −0.0667668 0.223017i
\(401\) 23.3072 + 31.3070i 1.16391 + 1.56340i 0.761812 + 0.647798i \(0.224310\pi\)
0.402093 + 0.915599i \(0.368283\pi\)
\(402\) 1.44048 1.03236i 0.0718447 0.0514894i
\(403\) 10.3833 + 5.21470i 0.517230 + 0.259763i
\(404\) −19.7525 −0.982725
\(405\) −27.6084 + 4.46164i −1.37187 + 0.221701i
\(406\) −0.958518 −0.0475705
\(407\) −6.03394 3.03036i −0.299091 0.150209i
\(408\) 0.787705 + 7.99297i 0.0389972 + 0.395711i
\(409\) −10.6428 14.2958i −0.526254 0.706882i 0.456929 0.889503i \(-0.348949\pi\)
−0.983183 + 0.182621i \(0.941542\pi\)
\(410\) 10.1146 + 33.7850i 0.499523 + 1.66852i
\(411\) −25.1044 + 3.95892i −1.23831 + 0.195279i
\(412\) 2.35279 + 5.45437i 0.115914 + 0.268718i
\(413\) −0.694889 3.94091i −0.0341933 0.193920i
\(414\) 20.9120 + 3.21620i 1.02777 + 0.158068i
\(415\) 4.89923 27.7849i 0.240494 1.36391i
\(416\) 3.17973 0.753611i 0.155899 0.0369488i
\(417\) −16.4127 + 14.9318i −0.803733 + 0.731212i
\(418\) −10.9856 7.22536i −0.537324 0.353404i
\(419\) −0.463457 + 7.95725i −0.0226414 + 0.388737i 0.967883 + 0.251401i \(0.0808912\pi\)
−0.990524 + 0.137336i \(0.956146\pi\)
\(420\) 2.95876 + 2.28720i 0.144373 + 0.111604i
\(421\) 8.16468 27.2719i 0.397922 1.32915i −0.491026 0.871145i \(-0.663378\pi\)
0.888948 0.458008i \(-0.151437\pi\)
\(422\) −13.8348 + 5.03546i −0.673468 + 0.245122i
\(423\) 17.8455 + 25.8783i 0.867679 + 1.25824i
\(424\) −3.97986 1.44855i −0.193279 0.0703479i
\(425\) 12.8927 17.3179i 0.625386 0.840039i
\(426\) 17.8624 9.88565i 0.865435 0.478962i
\(427\) 1.17056 + 0.277427i 0.0566473 + 0.0134257i
\(428\) 1.28578 2.98077i 0.0621505 0.144081i
\(429\) 22.3635 + 21.8783i 1.07972 + 1.05630i
\(430\) 24.1309 15.8711i 1.16369 0.765373i
\(431\) −13.7252 23.7728i −0.661122 1.14510i −0.980321 0.197409i \(-0.936747\pi\)
0.319200 0.947688i \(-0.396586\pi\)
\(432\) 5.19611 0.0197932i 0.249998 0.000952301i
\(433\) 1.90681 3.30270i 0.0916356 0.158717i −0.816564 0.577255i \(-0.804124\pi\)
0.908199 + 0.418538i \(0.137457\pi\)
\(434\) −0.143652 2.46642i −0.00689553 0.118392i
\(435\) 7.40305 + 0.565955i 0.354949 + 0.0271354i
\(436\) 8.38854 0.980480i 0.401738 0.0469565i
\(437\) −11.5130 + 12.2030i −0.550740 + 0.583750i
\(438\) 9.77825 11.2334i 0.467223 0.536752i
\(439\) −5.47284 0.639683i −0.261204 0.0305304i −0.0155172 0.999880i \(-0.504939\pi\)
−0.245687 + 0.969349i \(0.579014\pi\)
\(440\) −13.1576 + 11.0405i −0.627265 + 0.526337i
\(441\) 19.5388 + 0.708505i 0.930418 + 0.0337383i
\(442\) 11.6080 + 9.74029i 0.552137 + 0.463298i
\(443\) 17.7115 + 18.7731i 0.841499 + 0.891937i 0.995366 0.0961548i \(-0.0306544\pi\)
−0.153868 + 0.988091i \(0.549173\pi\)
\(444\) −0.983682 + 1.87324i −0.0466835 + 0.0888999i
\(445\) 10.2793 5.16246i 0.487286 0.244724i
\(446\) 9.27202 4.65658i 0.439043 0.220496i
\(447\) −16.3932 25.9365i −0.775372 1.22676i
\(448\) −0.476825 0.505405i −0.0225279 0.0238781i
\(449\) −7.95557 6.67552i −0.375447 0.315037i 0.435465 0.900206i \(-0.356584\pi\)
−0.810912 + 0.585168i \(0.801028\pi\)
\(450\) −10.3676 9.36017i −0.488732 0.441243i
\(451\) 48.0558 40.3236i 2.26286 1.89877i
\(452\) −11.5512 1.35014i −0.543324 0.0635054i
\(453\) −26.8188 5.23167i −1.26005 0.245805i
\(454\) 6.83635 7.24610i 0.320846 0.340076i
\(455\) 7.00794 0.819111i 0.328537 0.0384005i
\(456\) −2.32610 + 3.40079i −0.108930 + 0.159257i
\(457\) 2.03404 + 34.9231i 0.0951485 + 1.63364i 0.621532 + 0.783389i \(0.286511\pi\)
−0.526384 + 0.850247i \(0.676452\pi\)
\(458\) −10.4396 + 18.0819i −0.487811 + 0.844914i
\(459\) 14.4621 + 19.2723i 0.675033 + 0.899552i
\(460\) 10.9577 + 18.9793i 0.510905 + 0.884913i
\(461\) −13.1697 + 8.66185i −0.613374 + 0.403423i −0.817836 0.575452i \(-0.804826\pi\)
0.204461 + 0.978875i \(0.434456\pi\)
\(462\) 1.65116 6.44408i 0.0768191 0.299806i
\(463\) 1.50290 3.48411i 0.0698456 0.161920i −0.879717 0.475497i \(-0.842268\pi\)
0.949563 + 0.313577i \(0.101527\pi\)
\(464\) −1.34230 0.318132i −0.0623149 0.0147689i
\(465\) −0.346800 + 19.1340i −0.0160825 + 0.887319i
\(466\) −6.89131 + 9.25663i −0.319234 + 0.428805i
\(467\) 37.6811 + 13.7148i 1.74367 + 0.634645i 0.999446 0.0332831i \(-0.0105963\pi\)
0.744226 + 0.667928i \(0.232819\pi\)
\(468\) 6.98152 6.88230i 0.322721 0.318134i
\(469\) −0.668073 + 0.243159i −0.0308488 + 0.0112280i
\(470\) −9.33836 + 31.1923i −0.430747 + 1.43879i
\(471\) 0.730877 5.40211i 0.0336770 0.248916i
\(472\) 0.334869 5.74947i 0.0154136 0.264641i
\(473\) −42.9241 28.2317i −1.97365 1.29809i
\(474\) 3.24444 + 14.8866i 0.149022 + 0.683765i
\(475\) 10.7770 2.55420i 0.494483 0.117195i
\(476\) 0.559498 3.17307i 0.0256446 0.145438i
\(477\) −12.4614 + 2.48022i −0.570569 + 0.113562i
\(478\) 0.501726 + 2.84543i 0.0229484 + 0.130147i
\(479\) 8.98549 + 20.8307i 0.410558 + 0.951780i 0.990549 + 0.137157i \(0.0437966\pi\)
−0.579992 + 0.814622i \(0.696944\pi\)
\(480\) 3.38431 + 4.18500i 0.154472 + 0.191018i
\(481\) 1.14487 + 3.82415i 0.0522018 + 0.174366i
\(482\) 0.0316669 + 0.0425360i 0.00144239 + 0.00193746i
\(483\) −7.73142 3.50252i −0.351792 0.159370i
\(484\) 17.4731 + 8.77531i 0.794231 + 0.398878i
\(485\) 2.82762 0.128396
\(486\) 13.2949 8.13911i 0.603070 0.369198i
\(487\) −27.0825 −1.22723 −0.613613 0.789607i \(-0.710285\pi\)
−0.613613 + 0.789607i \(0.710285\pi\)
\(488\) 1.54717 + 0.777016i 0.0700369 + 0.0351739i
\(489\) 16.8391 + 7.62852i 0.761490 + 0.344973i
\(490\) 12.0934 + 16.2442i 0.546324 + 0.733840i
\(491\) −2.03944 6.81222i −0.0920388 0.307431i 0.899557 0.436803i \(-0.143889\pi\)
−0.991596 + 0.129372i \(0.958704\pi\)
\(492\) −12.3606 15.2850i −0.557258 0.689100i
\(493\) −2.53365 5.87367i −0.114110 0.264537i
\(494\) 1.34985 + 7.65540i 0.0607328 + 0.344433i
\(495\) −16.5575 + 48.7954i −0.744206 + 2.19319i
\(496\) 0.617433 3.50164i 0.0277236 0.157228i
\(497\) −7.96918 + 1.88873i −0.357466 + 0.0847211i
\(498\) 3.34879 + 15.3654i 0.150063 + 0.688541i
\(499\) −24.8765 16.3615i −1.11362 0.732442i −0.147127 0.989118i \(-0.547002\pi\)
−0.966498 + 0.256676i \(0.917373\pi\)
\(500\) −0.0621658 + 1.06735i −0.00278014 + 0.0477331i
\(501\) −0.442469 + 3.27041i −0.0197681 + 0.146111i
\(502\) −2.40954 + 8.04843i −0.107543 + 0.359219i
\(503\) 0.405417 0.147560i 0.0180767 0.00657936i −0.332966 0.942939i \(-0.608049\pi\)
0.351043 + 0.936359i \(0.385827\pi\)
\(504\) −2.00957 0.553906i −0.0895132 0.0246729i
\(505\) −57.6774 20.9928i −2.56661 0.934169i
\(506\) 23.2792 31.2693i 1.03488 1.39009i
\(507\) −0.0728627 + 4.02006i −0.00323595 + 0.178537i
\(508\) −9.54958 2.26329i −0.423694 0.100417i
\(509\) 8.75229 20.2901i 0.387939 0.899343i −0.606603 0.795005i \(-0.707468\pi\)
0.994542 0.104338i \(-0.0332724\pi\)
\(510\) −6.19478 + 24.1766i −0.274309 + 1.07056i
\(511\) −4.99166 + 3.28307i −0.220818 + 0.145234i
\(512\) −0.500000 0.866025i −0.0220971 0.0382733i
\(513\) −0.671697 + 12.3424i −0.0296561 + 0.544928i
\(514\) 7.09614 12.2909i 0.312997 0.542127i
\(515\) 1.07327 + 18.4273i 0.0472939 + 0.812004i
\(516\) −9.08878 + 13.2879i −0.400111 + 0.584968i
\(517\) 57.5266 6.72390i 2.53002 0.295717i
\(518\) 0.582472 0.617384i 0.0255924 0.0271263i
\(519\) −2.47790 0.483377i −0.108768 0.0212179i
\(520\) 10.0858 + 1.17886i 0.442290 + 0.0516963i
\(521\) 0.934191 0.783879i 0.0409276 0.0343424i −0.622094 0.782942i \(-0.713718\pi\)
0.663022 + 0.748600i \(0.269274\pi\)
\(522\) −3.93762 + 1.27359i −0.172345 + 0.0557433i
\(523\) 7.65711 + 6.42508i 0.334822 + 0.280949i 0.794661 0.607053i \(-0.207648\pi\)
−0.459839 + 0.888002i \(0.652093\pi\)
\(524\) −12.6845 13.4448i −0.554124 0.587337i
\(525\) 2.99376 + 4.73658i 0.130658 + 0.206721i
\(526\) −21.5058 + 10.8006i −0.937696 + 0.470929i
\(527\) 14.7341 7.39977i 0.641829 0.322339i
\(528\) 4.45107 8.47623i 0.193708 0.368881i
\(529\) −18.3499 19.4498i −0.797822 0.845642i
\(530\) −10.0817 8.45954i −0.437921 0.367459i
\(531\) −8.09093 15.2661i −0.351116 0.662492i
\(532\) 1.26618 1.06245i 0.0548958 0.0460630i
\(533\) −36.8364 4.30556i −1.59556 0.186495i
\(534\) −4.20965 + 4.83610i −0.182169 + 0.209279i
\(535\) 6.92243 7.33734i 0.299283 0.317221i
\(536\) −1.01627 + 0.118785i −0.0438962 + 0.00513074i
\(537\) −6.25706 0.478345i −0.270012 0.0206421i
\(538\) 0.465216 + 7.98745i 0.0200569 + 0.344363i
\(539\) 18.0118 31.1974i 0.775823 1.34377i
\(540\) 15.1937 + 5.46460i 0.653832 + 0.235159i
\(541\) −1.46755 2.54188i −0.0630951 0.109284i 0.832752 0.553646i \(-0.186764\pi\)
−0.895847 + 0.444362i \(0.853430\pi\)
\(542\) 3.15714 2.07648i 0.135611 0.0891925i
\(543\) 27.4638 + 26.8680i 1.17858 + 1.15301i
\(544\) 1.83666 4.25786i 0.0787462 0.182554i
\(545\) 25.5366 + 6.05228i 1.09387 + 0.259251i
\(546\) −3.44097 + 1.90435i −0.147260 + 0.0814987i
\(547\) 9.40820 12.6374i 0.402266 0.540336i −0.554123 0.832435i \(-0.686946\pi\)
0.956388 + 0.292099i \(0.0943535\pi\)
\(548\) 13.7883 + 5.01852i 0.589006 + 0.214380i
\(549\) 5.17731 0.415642i 0.220962 0.0177392i
\(550\) −24.1835 + 8.80206i −1.03119 + 0.375321i
\(551\) 0.941154 3.14367i 0.0400945 0.133925i
\(552\) −9.66456 7.47097i −0.411351 0.317986i
\(553\) 0.355390 6.10181i 0.0151127 0.259475i
\(554\) −7.82687 5.14782i −0.332532 0.218710i
\(555\) −4.86322 + 4.42441i −0.206432 + 0.187806i
\(556\) 12.4653 2.95433i 0.528646 0.125291i
\(557\) −2.45674 + 13.9329i −0.104095 + 0.590354i 0.887482 + 0.460841i \(0.152452\pi\)
−0.991578 + 0.129512i \(0.958659\pi\)
\(558\) −3.86726 9.94125i −0.163714 0.420847i
\(559\) 5.27429 + 29.9120i 0.223079 + 1.26514i
\(560\) −0.855189 1.98255i −0.0361383 0.0837780i
\(561\) 43.8529 6.91553i 1.85147 0.291974i
\(562\) −2.22712 7.43911i −0.0939455 0.313800i
\(563\) −14.2152 19.0944i −0.599101 0.804732i 0.394354 0.918959i \(-0.370968\pi\)
−0.993455 + 0.114226i \(0.963561\pi\)
\(564\) −1.77995 18.0614i −0.0749492 0.760522i
\(565\) −32.2946 16.2190i −1.35865 0.682338i
\(566\) −19.1701 −0.805781
\(567\) −6.01587 + 1.70760i −0.252643 + 0.0717124i
\(568\) −11.7869 −0.494566
\(569\) −1.76778 0.887811i −0.0741091 0.0372190i 0.411359 0.911474i \(-0.365054\pi\)
−0.485468 + 0.874255i \(0.661351\pi\)
\(570\) −10.4066 + 7.45814i −0.435883 + 0.312387i
\(571\) 5.08064 + 6.82448i 0.212618 + 0.285596i 0.895619 0.444822i \(-0.146733\pi\)
−0.683001 + 0.730417i \(0.739326\pi\)
\(572\) −5.18046 17.3039i −0.216606 0.723513i
\(573\) 3.63879 9.46044i 0.152013 0.395216i
\(574\) 3.12342 + 7.24091i 0.130369 + 0.302230i
\(575\) 5.70202 + 32.3378i 0.237791 + 1.34858i
\(576\) −2.63035 1.44266i −0.109598 0.0601109i
\(577\) −6.90467 + 39.1583i −0.287445 + 1.63018i 0.408973 + 0.912546i \(0.365887\pi\)
−0.696418 + 0.717636i \(0.745224\pi\)
\(578\) 4.38131 1.03839i 0.182239 0.0431913i
\(579\) 23.8438 + 7.61183i 0.990914 + 0.316337i
\(580\) −3.58142 2.35554i −0.148710 0.0978084i
\(581\) 0.366821 6.29807i 0.0152183 0.261288i
\(582\) −1.45828 + 0.597934i −0.0604476 + 0.0247852i
\(583\) −6.71417 + 22.4269i −0.278072 + 0.928826i
\(584\) −8.07995 + 2.94086i −0.334351 + 0.121694i
\(585\) 27.7005 12.6764i 1.14528 0.524105i
\(586\) 16.5802 + 6.03472i 0.684924 + 0.249292i
\(587\) 6.53316 8.77555i 0.269652 0.362206i −0.646585 0.762842i \(-0.723803\pi\)
0.916237 + 0.400636i \(0.131211\pi\)
\(588\) −9.67192 5.82029i −0.398863 0.240025i
\(589\) 8.23021 + 1.95060i 0.339120 + 0.0803729i
\(590\) 7.08832 16.4326i 0.291821 0.676518i
\(591\) 7.98018 2.23236i 0.328261 0.0918268i
\(592\) 1.02060 0.671260i 0.0419465 0.0275886i
\(593\) −6.95035 12.0384i −0.285417 0.494356i 0.687293 0.726380i \(-0.258799\pi\)
−0.972710 + 0.232024i \(0.925465\pi\)
\(594\) −1.77922 28.6664i −0.0730022 1.17620i
\(595\) 5.00605 8.67074i 0.205228 0.355466i
\(596\) 1.03002 + 17.6848i 0.0421914 + 0.724398i
\(597\) −11.6598 24.3051i −0.477205 0.994743i
\(598\) −22.8909 + 2.67556i −0.936079 + 0.109412i
\(599\) 8.55657 9.06943i 0.349612 0.370567i −0.528573 0.848888i \(-0.677273\pi\)
0.878185 + 0.478321i \(0.158754\pi\)
\(600\) 2.62038 + 7.62671i 0.106976 + 0.311359i
\(601\) −33.8011 3.95078i −1.37877 0.161156i −0.605813 0.795607i \(-0.707152\pi\)
−0.772962 + 0.634452i \(0.781226\pi\)
\(602\) 4.94734 4.15131i 0.201638 0.169195i
\(603\) −2.42138 + 1.88658i −0.0986063 + 0.0768273i
\(604\) 12.0849 + 10.1404i 0.491726 + 0.412607i
\(605\) 41.6951 + 44.1942i 1.69515 + 1.79675i
\(606\) 34.1849 1.37000i 1.38867 0.0556526i
\(607\) −0.126803 + 0.0636828i −0.00514677 + 0.00258481i −0.451371 0.892337i \(-0.649065\pi\)
0.446224 + 0.894921i \(0.352768\pi\)
\(608\) 2.12578 1.06760i 0.0862116 0.0432971i
\(609\) 1.65887 0.0664813i 0.0672208 0.00269396i
\(610\) 3.69192 + 3.91321i 0.149481 + 0.158441i
\(611\) −26.2302 22.0097i −1.06116 0.890419i
\(612\) −1.91763 13.7785i −0.0775156 0.556963i
\(613\) 5.46537 4.58599i 0.220744 0.185226i −0.525709 0.850665i \(-0.676200\pi\)
0.746453 + 0.665438i \(0.231755\pi\)
\(614\) −13.6550 1.59605i −0.551073 0.0644111i
\(615\) −19.8482 57.7689i −0.800355 2.32947i
\(616\) −2.63563 + 2.79361i −0.106193 + 0.112558i
\(617\) −12.3620 + 1.44491i −0.497674 + 0.0581698i −0.361228 0.932478i \(-0.617642\pi\)
−0.136447 + 0.990647i \(0.543568\pi\)
\(618\) −4.45019 9.27649i −0.179013 0.373155i
\(619\) −0.942223 16.1773i −0.0378711 0.650222i −0.962822 0.270136i \(-0.912931\pi\)
0.924951 0.380086i \(-0.124106\pi\)
\(620\) 5.52442 9.56858i 0.221866 0.384283i
\(621\) −36.4147 4.11573i −1.46127 0.165158i
\(622\) 8.97070 + 15.5377i 0.359692 + 0.623005i
\(623\) 2.14897 1.41340i 0.0860966 0.0566266i
\(624\) −5.45077 + 1.52479i −0.218206 + 0.0610403i
\(625\) −10.5365 + 24.4263i −0.421460 + 0.977054i
\(626\) 4.64166 + 1.10009i 0.185518 + 0.0439686i
\(627\) 19.5135 + 11.7427i 0.779295 + 0.468958i
\(628\) −1.87945 + 2.52454i −0.0749984 + 0.100740i
\(629\) 5.32290 + 1.93738i 0.212238 + 0.0772482i
\(630\) −5.27925 3.75316i −0.210330 0.149529i
\(631\) 30.2871 11.0236i 1.20571 0.438843i 0.340497 0.940246i \(-0.389405\pi\)
0.865214 + 0.501402i \(0.167182\pi\)
\(632\) 2.52288 8.42700i 0.100355 0.335208i
\(633\) 23.5941 9.67424i 0.937782 0.384517i
\(634\) 0.286844 4.92493i 0.0113920 0.195594i
\(635\) −25.4794 16.7580i −1.01112 0.665023i
\(636\) 6.98826 + 2.23091i 0.277103 + 0.0884615i
\(637\) −20.7230 + 4.91143i −0.821074 + 0.194598i
\(638\) −1.32408 + 7.50923i −0.0524208 + 0.297293i
\(639\) −30.2281 + 18.3476i −1.19580 + 0.725821i
\(640\) −0.539594 3.06019i −0.0213293 0.120965i
\(641\) 2.93257 + 6.79846i 0.115829 + 0.268523i 0.966262 0.257561i \(-0.0829189\pi\)
−0.850432 + 0.526084i \(0.823660\pi\)
\(642\) −2.01851 + 5.24789i −0.0796642 + 0.207118i
\(643\) −2.09220 6.98845i −0.0825085 0.275597i 0.906773 0.421619i \(-0.138538\pi\)
−0.989281 + 0.146022i \(0.953353\pi\)
\(644\) 2.92633 + 3.93074i 0.115314 + 0.154893i
\(645\) −40.6616 + 29.1412i −1.60105 + 1.14743i
\(646\) 9.85743 + 4.95059i 0.387835 + 0.194778i
\(647\) 25.8659 1.01689 0.508446 0.861094i \(-0.330220\pi\)
0.508446 + 0.861094i \(0.330220\pi\)
\(648\) −8.99134 + 0.394650i −0.353213 + 0.0155033i
\(649\) −31.8339 −1.24959
\(650\) 13.5964 + 6.82836i 0.533294 + 0.267830i
\(651\) 0.419680 + 4.25857i 0.0164486 + 0.166906i
\(652\) −6.37357 8.56119i −0.249608 0.335282i
\(653\) 0.658203 + 2.19855i 0.0257575 + 0.0860360i 0.969902 0.243496i \(-0.0782943\pi\)
−0.944144 + 0.329532i \(0.893109\pi\)
\(654\) −14.4497 + 2.27870i −0.565029 + 0.0891040i
\(655\) −22.7497 52.7397i −0.888903 2.06071i
\(656\) 1.97077 + 11.1768i 0.0769457 + 0.436381i
\(657\) −16.1437 + 20.1194i −0.629826 + 0.784932i
\(658\) −1.26428 + 7.17007i −0.0492866 + 0.279518i
\(659\) −32.6804 + 7.74540i −1.27305 + 0.301718i −0.810952 0.585113i \(-0.801050\pi\)
−0.462095 + 0.886830i \(0.652902\pi\)
\(660\) 22.0056 20.0200i 0.856567 0.779279i
\(661\) 15.0448 + 9.89512i 0.585175 + 0.384875i 0.807299 0.590143i \(-0.200929\pi\)
−0.222124 + 0.975018i \(0.571299\pi\)
\(662\) −1.20515 + 20.6917i −0.0468396 + 0.804206i
\(663\) −20.7651 16.0520i −0.806451 0.623409i
\(664\) 2.60402 8.69804i 0.101056 0.337549i
\(665\) 4.82640 1.75667i 0.187160 0.0681206i
\(666\) 1.57250 3.31017i 0.0609329 0.128266i
\(667\) 9.14230 + 3.32753i 0.353991 + 0.128842i
\(668\) 1.13781 1.52835i 0.0440232 0.0591335i
\(669\) −15.7238 + 8.70206i −0.607915 + 0.336441i
\(670\) −3.09376 0.733234i −0.119522 0.0283273i
\(671\) 3.79041 8.78717i 0.146327 0.339225i
\(672\) 0.860277 + 0.841613i 0.0331859 + 0.0324659i
\(673\) 7.51146 4.94036i 0.289545 0.190437i −0.396424 0.918068i \(-0.629749\pi\)
0.685969 + 0.727631i \(0.259378\pi\)
\(674\) 14.0117 + 24.2690i 0.539710 + 0.934806i
\(675\) 18.5920 + 15.4802i 0.715605 + 0.595834i
\(676\) 1.16068 2.01036i 0.0446416 0.0773215i
\(677\) −1.07919 18.5289i −0.0414765 0.712124i −0.953390 0.301741i \(-0.902432\pi\)
0.911913 0.410383i \(-0.134605\pi\)
\(678\) 20.0849 + 1.53547i 0.771356 + 0.0589693i
\(679\) 0.628000 0.0734027i 0.0241004 0.00281694i
\(680\) 9.88827 10.4810i 0.379198 0.401926i
\(681\) −11.3288 + 13.0147i −0.434121 + 0.498725i
\(682\) −19.5209 2.28166i −0.747493 0.0873694i
\(683\) 6.63544 5.56779i 0.253898 0.213046i −0.506951 0.861975i \(-0.669227\pi\)
0.760849 + 0.648929i \(0.224783\pi\)
\(684\) 3.78982 6.04695i 0.144907 0.231211i
\(685\) 34.9281 + 29.3082i 1.33453 + 1.11981i
\(686\) 6.44534 + 6.83166i 0.246084 + 0.260834i
\(687\) 16.8133 32.0178i 0.641468 1.22156i
\(688\) 8.30605 4.17146i 0.316665 0.159035i
\(689\) 12.3680 6.21144i 0.471183 0.236637i
\(690\) −20.2804 32.0867i −0.772062 1.22152i
\(691\) 25.2925 + 26.8085i 0.962172 + 1.01984i 0.999789 + 0.0205505i \(0.00654189\pi\)
−0.0376168 + 0.999292i \(0.511977\pi\)
\(692\) 1.11657 + 0.936917i 0.0424458 + 0.0356162i
\(693\) −2.41066 + 11.2670i −0.0915732 + 0.427999i
\(694\) 8.35139 7.00765i 0.317015 0.266007i
\(695\) 39.5385 + 4.62139i 1.49978 + 0.175299i
\(696\) 2.34514 + 0.457479i 0.0888923 + 0.0173407i
\(697\) −36.1152 + 38.2798i −1.36796 + 1.44995i
\(698\) 16.0962 1.88138i 0.609250 0.0712111i
\(699\) 11.2845 16.4981i 0.426819 0.624014i
\(700\) −0.188105 3.22964i −0.00710969 0.122069i
\(701\) −18.8835 + 32.7071i −0.713218 + 1.23533i 0.250425 + 0.968136i \(0.419430\pi\)
−0.963643 + 0.267194i \(0.913904\pi\)
\(702\) −11.6053 + 12.3952i −0.438014 + 0.467825i
\(703\) 1.45293 + 2.51655i 0.0547983 + 0.0949134i
\(704\) −4.61813 + 3.03739i −0.174052 + 0.114476i
\(705\) 13.9981 54.6310i 0.527199 2.05752i
\(706\) 10.8350 25.1184i 0.407782 0.945344i
\(707\) −13.3548 3.16515i −0.502259 0.119038i
\(708\) −0.180770 + 9.97361i −0.00679374 + 0.374831i
\(709\) −9.95354 + 13.3699i −0.373813 + 0.502118i −0.948727 0.316096i \(-0.897628\pi\)
0.574914 + 0.818214i \(0.305035\pi\)
\(710\) −34.4177 12.5270i −1.29167 0.470130i
\(711\) −6.64754 25.5387i −0.249302 0.957774i
\(712\) 3.47851 1.26608i 0.130363 0.0474482i
\(713\) −7.19209 + 24.0233i −0.269346 + 0.899678i
\(714\) −0.748223 + 5.53032i −0.0280015 + 0.206967i
\(715\) 3.26356 56.0332i 0.122050 2.09552i
\(716\) 3.02702 + 1.99090i 0.113125 + 0.0744035i
\(717\) −1.06567 4.88967i −0.0397983 0.182608i
\(718\) −5.91967 + 1.40299i −0.220920 + 0.0523590i
\(719\) −0.219237 + 1.24336i −0.00817617 + 0.0463694i −0.988623 0.150415i \(-0.951939\pi\)
0.980447 + 0.196785i \(0.0630500\pi\)
\(720\) −6.14736 7.00809i −0.229099 0.261176i
\(721\) 0.716725 + 4.06475i 0.0266922 + 0.151379i
\(722\) −5.28422 12.2502i −0.196658 0.455905i
\(723\) −0.0577549 0.0714191i −0.00214793 0.00265610i
\(724\) −6.36192 21.2503i −0.236439 0.789761i
\(725\) −3.83543 5.15188i −0.142444 0.191336i
\(726\) −30.8486 13.9752i −1.14490 0.518668i
\(727\) 5.85101 + 2.93849i 0.217002 + 0.108982i 0.553980 0.832530i \(-0.313108\pi\)
−0.336978 + 0.941513i \(0.609405\pi\)
\(728\) 2.27060 0.0841539
\(729\) −22.4445 + 15.0082i −0.831277 + 0.555858i
\(730\) −26.7190 −0.988915
\(731\) 38.5160 + 19.3434i 1.42456 + 0.715443i
\(732\) −2.73151 1.23744i −0.100960 0.0457372i
\(733\) 4.97694 + 6.68519i 0.183827 + 0.246923i 0.884478 0.466581i \(-0.154514\pi\)
−0.700651 + 0.713504i \(0.747107\pi\)
\(734\) −5.15990 17.2353i −0.190455 0.636166i
\(735\) −22.0562 27.2745i −0.813557 1.00604i
\(736\) 2.79341 + 6.47585i 0.102966 + 0.238703i
\(737\) 0.982093 + 5.56972i 0.0361759 + 0.205163i
\(738\) 22.4521 + 25.5958i 0.826475 + 0.942194i
\(739\) 2.08267 11.8114i 0.0766121 0.434489i −0.922241 0.386615i \(-0.873644\pi\)
0.998853 0.0478740i \(-0.0152446\pi\)
\(740\) 3.69357 0.875391i 0.135778 0.0321800i
\(741\) −2.86711 13.1553i −0.105326 0.483271i
\(742\) −2.45869 1.61711i −0.0902615 0.0593659i
\(743\) −1.67970 + 28.8393i −0.0616222 + 1.05801i 0.815813 + 0.578316i \(0.196290\pi\)
−0.877435 + 0.479696i \(0.840747\pi\)
\(744\) −0.825699 + 6.10297i −0.0302716 + 0.223746i
\(745\) −15.7876 + 52.7344i −0.578414 + 1.93204i
\(746\) 22.4333 8.16506i 0.821342 0.298944i
\(747\) −6.86134 26.3601i −0.251043 0.964464i
\(748\) −24.0856 8.76645i −0.880658 0.320533i
\(749\) 1.34696 1.80929i 0.0492170 0.0661099i
\(750\) 0.0335585 1.85153i 0.00122538 0.0676081i
\(751\) −6.59190 1.56231i −0.240542 0.0570094i 0.108577 0.994088i \(-0.465371\pi\)
−0.349118 + 0.937079i \(0.613519\pi\)
\(752\) −4.15023 + 9.62132i −0.151343 + 0.350853i
\(753\) 3.61187 14.0962i 0.131624 0.513695i
\(754\) 3.76631 2.47714i 0.137161 0.0902122i
\(755\) 24.5107 + 42.4537i 0.892034 + 1.54505i
\(756\) 3.51630 + 0.819244i 0.127887 + 0.0297956i
\(757\) −10.9210 + 18.9158i −0.396932 + 0.687506i −0.993346 0.115171i \(-0.963258\pi\)
0.596414 + 0.802677i \(0.296592\pi\)
\(758\) −1.37503 23.6084i −0.0499433 0.857494i
\(759\) −38.1196 + 55.7313i −1.38365 + 2.02292i
\(760\) 7.34191 0.858146i 0.266319 0.0311282i
\(761\) 16.0381 16.9994i 0.581381 0.616228i −0.368201 0.929746i \(-0.620026\pi\)
0.949582 + 0.313518i \(0.101508\pi\)
\(762\) 16.6841 + 3.25465i 0.604400 + 0.117903i
\(763\) 5.82866 + 0.681273i 0.211012 + 0.0246637i
\(764\) −4.48296 + 3.76165i −0.162188 + 0.136092i
\(765\) 9.04421 42.2712i 0.326994 1.52832i
\(766\) −10.9251 9.16727i −0.394741 0.331227i
\(767\) 12.9151 + 13.6892i 0.466338 + 0.494289i
\(768\) 0.925397 + 1.46412i 0.0333924 + 0.0528318i
\(769\) 34.6714 17.4126i 1.25028 0.627915i 0.304437 0.952532i \(-0.401532\pi\)
0.945846 + 0.324617i \(0.105235\pi\)
\(770\) −10.6651 + 5.35621i −0.384343 + 0.193024i
\(771\) −11.4285 + 21.7635i −0.411589 + 0.783794i
\(772\) −9.91666 10.5110i −0.356908 0.378301i
\(773\) 32.0265 + 26.8735i 1.15191 + 0.966571i 0.999763 0.0217863i \(-0.00693535\pi\)
0.152152 + 0.988357i \(0.451380\pi\)
\(774\) 14.8080 23.6273i 0.532262 0.849264i
\(775\) 12.6818 10.6413i 0.455543 0.382246i
\(776\) 0.903811 + 0.105640i 0.0324449 + 0.00379227i
\(777\) −0.965241 + 1.10888i −0.0346278 + 0.0397809i
\(778\) 24.4846 25.9521i 0.877814 0.930428i
\(779\) −26.8150 + 3.13423i −0.960748 + 0.112295i
\(780\) −17.5368 1.34067i −0.627918 0.0480036i
\(781\) 3.78822 + 65.0413i 0.135553 + 2.32736i
\(782\) −16.3519 + 28.3223i −0.584742 + 1.01280i
\(783\) 6.72636 2.47725i 0.240381 0.0885298i
\(784\) 3.25860 + 5.64406i 0.116379 + 0.201574i
\(785\) −8.17107 + 5.37420i −0.291638 + 0.191813i
\(786\) 22.8850 + 22.3885i 0.816282 + 0.798573i
\(787\) 13.6882 31.7327i 0.487930 1.13115i −0.479393 0.877601i \(-0.659143\pi\)
0.967323 0.253549i \(-0.0815977\pi\)
\(788\) −4.65527 1.10332i −0.165837 0.0393041i
\(789\) 36.4701 20.1838i 1.29837 0.718562i
\(790\) 16.3230 21.9255i 0.580745 0.780076i
\(791\) −7.59350 2.76381i −0.269994 0.0982698i
\(792\) −7.11540 + 14.9782i −0.252835 + 0.532228i
\(793\) −5.31645 + 1.93503i −0.188793 + 0.0687149i
\(794\) −6.99757 + 23.3735i −0.248335 + 0.829495i
\(795\) 18.0347 + 13.9414i 0.639626 + 0.494449i
\(796\) −0.904952 + 15.5374i −0.0320752 + 0.550709i
\(797\) 2.47748 + 1.62946i 0.0877569 + 0.0577186i 0.592629 0.805476i \(-0.298090\pi\)
−0.504872 + 0.863194i \(0.668460\pi\)
\(798\) −2.11763 + 1.92656i −0.0749635 + 0.0681995i
\(799\) −47.2791 + 11.2053i −1.67261 + 0.396417i
\(800\) 0.808494 4.58520i 0.0285846 0.162111i
\(801\) 6.95005 8.66163i 0.245568 0.306044i
\(802\) 6.77751 + 38.4372i 0.239322 + 1.35726i
\(803\) 18.8249 + 43.6409i 0.664315 + 1.54005i
\(804\) 1.75058 0.276064i 0.0617383 0.00973602i
\(805\) 4.36732 + 14.5879i 0.153928 + 0.514155i
\(806\) 6.93853 + 9.32006i 0.244399 + 0.328285i
\(807\) −1.35913 13.7913i −0.0478436 0.485477i
\(808\) −17.6515 8.86492i −0.620978 0.311867i
\(809\) −49.0772 −1.72546 −0.862731 0.505663i \(-0.831248\pi\)
−0.862731 + 0.505663i \(0.831248\pi\)
\(810\) −26.6742 8.40356i −0.937234 0.295271i
\(811\) −19.4023 −0.681307 −0.340654 0.940189i \(-0.610648\pi\)
−0.340654 + 0.940189i \(0.610648\pi\)
\(812\) −0.856563 0.430182i −0.0300595 0.0150964i
\(813\) −5.31991 + 3.81266i −0.186577 + 0.133716i
\(814\) −4.03210 5.41605i −0.141325 0.189833i
\(815\) −9.51205 31.7725i −0.333193 1.11294i
\(816\) −2.88332 + 7.49630i −0.100936 + 0.262423i
\(817\) 8.75743 + 20.3020i 0.306384 + 0.710277i
\(818\) −3.09484 17.5517i −0.108208 0.613681i
\(819\) 5.82307 3.53445i 0.203475 0.123504i
\(820\) −6.12398 + 34.7308i −0.213859 + 1.21285i
\(821\) 0.0542400 0.0128551i 0.00189299 0.000448646i −0.229669 0.973269i \(-0.573764\pi\)
0.231562 + 0.972820i \(0.425616\pi\)
\(822\) −24.2109 7.72902i −0.844452 0.269581i
\(823\) 24.4081 + 16.0535i 0.850813 + 0.559588i 0.898350 0.439281i \(-0.144767\pi\)
−0.0475370 + 0.998869i \(0.515137\pi\)
\(824\) −0.345391 + 5.93014i −0.0120323 + 0.206586i
\(825\) 41.2429 16.9107i 1.43589 0.588756i
\(826\) 1.14770 3.83359i 0.0399337 0.133388i
\(827\) 39.4672 14.3649i 1.37241 0.499516i 0.452541 0.891744i \(-0.350518\pi\)
0.919868 + 0.392227i \(0.128295\pi\)
\(828\) 17.2443 + 12.2594i 0.599279 + 0.426044i
\(829\) −11.8020 4.29559i −0.409902 0.149192i 0.128835 0.991666i \(-0.458876\pi\)
−0.538737 + 0.842474i \(0.681098\pi\)
\(830\) 16.8480 22.6307i 0.584801 0.785524i
\(831\) 13.9027 + 8.36627i 0.482280 + 0.290223i
\(832\) 3.17973 + 0.753611i 0.110237 + 0.0261268i
\(833\) −11.9699 + 27.7493i −0.414732 + 0.961457i
\(834\) −21.3683 + 5.97751i −0.739923 + 0.206984i
\(835\) 4.94673 3.25351i 0.171189 0.112592i
\(836\) −6.57437 11.3872i −0.227380 0.393833i
\(837\) 7.38243 + 16.9367i 0.255174 + 0.585418i
\(838\) −3.98537 + 6.90286i −0.137672 + 0.238455i
\(839\) −2.36536 40.6117i −0.0816613 1.40207i −0.751583 0.659638i \(-0.770709\pi\)
0.669922 0.742432i \(-0.266328\pi\)
\(840\) 1.61755 + 3.37181i 0.0558107 + 0.116338i
\(841\) 26.9138 3.14577i 0.928062 0.108475i
\(842\) 19.5358 20.7068i 0.673250 0.713603i
\(843\) 4.37036 + 12.7201i 0.150523 + 0.438104i
\(844\) −14.6232 1.70920i −0.503350 0.0588331i
\(845\) 5.52579 4.63669i 0.190093 0.159507i
\(846\) 4.33319 + 31.1347i 0.148978 + 1.07043i
\(847\) 10.4075 + 8.73293i 0.357606 + 0.300067i
\(848\) −2.90643 3.08063i −0.0998071 0.105789i
\(849\) 33.1770 1.32961i 1.13863 0.0456321i
\(850\) 19.2935 9.68958i 0.661763 0.332350i
\(851\) −7.69886 + 3.86651i −0.263914 + 0.132542i
\(852\) 20.3991 0.817519i 0.698861 0.0280077i
\(853\) 17.4593 + 18.5058i 0.597795 + 0.633625i 0.953651 0.300916i \(-0.0972922\pi\)
−0.355856 + 0.934541i \(0.615811\pi\)
\(854\) 0.921540 + 0.773264i 0.0315344 + 0.0264605i
\(855\) 17.4929 13.6293i 0.598246 0.466112i
\(856\) 2.48678 2.08666i 0.0849965 0.0713206i
\(857\) 45.3387 + 5.29934i 1.54874 + 0.181022i 0.847071 0.531480i \(-0.178364\pi\)
0.701670 + 0.712502i \(0.252438\pi\)
\(858\) 10.1658 + 29.5879i 0.347054 + 1.01012i
\(859\) −11.0934 + 11.7583i −0.378501 + 0.401188i −0.888418 0.459036i \(-0.848195\pi\)
0.509916 + 0.860224i \(0.329676\pi\)
\(860\) 28.6871 3.35304i 0.978221 0.114338i
\(861\) −5.90781 12.3149i −0.201338 0.419692i
\(862\) −1.59610 27.4040i −0.0543635 0.933385i
\(863\) −20.5808 + 35.6470i −0.700578 + 1.21344i 0.267685 + 0.963506i \(0.413741\pi\)
−0.968264 + 0.249931i \(0.919592\pi\)
\(864\) 4.65230 + 2.31432i 0.158274 + 0.0787349i
\(865\) 2.26465 + 3.92248i 0.0770003 + 0.133368i
\(866\) 3.18624 2.09562i 0.108273 0.0712121i
\(867\) −7.51055 + 2.10098i −0.255072 + 0.0713531i
\(868\) 0.978553 2.26854i 0.0332143 0.0769993i
\(869\) −47.3120 11.2131i −1.60495 0.380380i
\(870\) 6.36160 + 3.82824i 0.215679 + 0.129789i
\(871\) 1.99666 2.68198i 0.0676542 0.0908754i
\(872\) 7.93631 + 2.88858i 0.268758 + 0.0978197i
\(873\) 2.48231 1.13597i 0.0840136 0.0384466i
\(874\) −15.7651 + 5.73802i −0.533262 + 0.194091i
\(875\) −0.213062 + 0.711677i −0.00720282 + 0.0240591i
\(876\) 13.7797 5.65005i 0.465573 0.190898i
\(877\) 1.27082 21.8191i 0.0429125 0.736778i −0.906395 0.422430i \(-0.861177\pi\)
0.949308 0.314348i \(-0.101786\pi\)
\(878\) −4.60362 3.02785i −0.155365 0.102185i
\(879\) −29.1134 9.29407i −0.981969 0.313481i
\(880\) −16.7131 + 3.96107i −0.563397 + 0.133528i
\(881\) 9.44504 53.5655i 0.318212 1.80467i −0.235407 0.971897i \(-0.575642\pi\)
0.553619 0.832770i \(-0.313247\pi\)
\(882\) 17.1425 + 9.40213i 0.577218 + 0.316586i
\(883\) 7.67767 + 43.5423i 0.258374 + 1.46531i 0.787260 + 0.616621i \(0.211499\pi\)
−0.528886 + 0.848693i \(0.677390\pi\)
\(884\) 6.00187 + 13.9139i 0.201865 + 0.467975i
\(885\) −11.1277 + 28.9308i −0.374055 + 0.972499i
\(886\) 7.40223 + 24.7252i 0.248683 + 0.830658i
\(887\) 12.8442 + 17.2527i 0.431265 + 0.579290i 0.963635 0.267222i \(-0.0861057\pi\)
−0.532370 + 0.846512i \(0.678698\pi\)
\(888\) −1.71976 + 1.23251i −0.0577113 + 0.0413604i
\(889\) −6.09386 3.06045i −0.204382 0.102644i
\(890\) 11.5028 0.385576
\(891\) 5.06748 + 49.4884i 0.169767 + 1.65792i
\(892\) 10.3756 0.347402
\(893\) −22.2745 11.1867i −0.745386 0.374347i
\(894\) −3.00921 30.5350i −0.100643 1.02124i
\(895\) 6.72299 + 9.03054i 0.224725 + 0.301858i
\(896\) −0.199281 0.665645i −0.00665752 0.0222376i
\(897\) 39.4308 6.21817i 1.31656 0.207619i
\(898\) −4.11339 9.53592i −0.137266 0.318218i
\(899\) −0.851742 4.83047i −0.0284072 0.161105i
\(900\) −5.06396 13.0175i −0.168799 0.433917i
\(901\) 3.41035 19.3410i 0.113615 0.644344i
\(902\) 61.0415 14.4671i 2.03246 0.481702i
\(903\) −8.27424 + 7.52765i −0.275349 + 0.250505i
\(904\) −9.71660 6.39071i −0.323169 0.212552i
\(905\) 4.00786 68.8123i 0.133226 2.28740i
\(906\) −21.6181 16.7114i −0.718215 0.555200i
\(907\) 0.0159538 0.0532895i 0.000529738 0.00176945i −0.957724 0.287688i \(-0.907113\pi\)
0.958254 + 0.285918i \(0.0922986\pi\)
\(908\) 9.36123 3.40721i 0.310663 0.113072i
\(909\) −59.0675 + 4.74203i −1.95915 + 0.157283i
\(910\) 6.63014 + 2.41318i 0.219787 + 0.0799960i
\(911\) −5.46199 + 7.33672i −0.180964 + 0.243076i −0.883344 0.468726i \(-0.844713\pi\)
0.702380 + 0.711802i \(0.252121\pi\)
\(912\) −3.60495 + 1.99510i −0.119372 + 0.0660645i
\(913\) −48.8337 11.5738i −1.61616 0.383037i
\(914\) −13.8558 + 32.1213i −0.458309 + 1.06248i
\(915\) −6.66088 6.51637i −0.220202 0.215425i
\(916\) −17.4443 + 11.4733i −0.576377 + 0.379089i
\(917\) −6.42166 11.1226i −0.212062 0.367302i
\(918\) 4.27442 + 23.7129i 0.141077 + 0.782642i
\(919\) 1.08222 1.87445i 0.0356990 0.0618325i −0.847624 0.530598i \(-0.821968\pi\)
0.883323 + 0.468765i \(0.155301\pi\)
\(920\) 1.27427 + 21.8783i 0.0420113 + 0.721306i
\(921\) 23.7429 + 1.81512i 0.782357 + 0.0598103i
\(922\) −15.6563 + 1.82996i −0.515613 + 0.0602665i
\(923\) 26.4322 28.0165i 0.870027 0.922175i
\(924\) 4.36763 5.01760i 0.143684 0.165067i
\(925\) 5.64906 + 0.660280i 0.185740 + 0.0217099i
\(926\) 2.90671 2.43902i 0.0955203 0.0801510i
\(927\) 8.34517 + 15.7458i 0.274091 + 0.517160i
\(928\) −1.05675 0.886718i −0.0346895 0.0291080i
\(929\) 1.40707 + 1.49140i 0.0461643 + 0.0489313i 0.750044 0.661388i \(-0.230032\pi\)
−0.703880 + 0.710319i \(0.748551\pi\)
\(930\) −8.89724 + 16.9431i −0.291752 + 0.555587i
\(931\) −13.8541 + 6.95780i −0.454050 + 0.228033i
\(932\) −10.3127 + 5.17921i −0.337803 + 0.169651i
\(933\) −16.6029 26.2683i −0.543555 0.859986i
\(934\) 27.5178 + 29.1672i 0.900412 + 0.954380i
\(935\) −61.0131 51.1961i −1.99534 1.67429i
\(936\) 9.32769 3.01695i 0.304885 0.0986120i
\(937\) 34.7783 29.1825i 1.13616 0.953350i 0.136852 0.990592i \(-0.456302\pi\)
0.999306 + 0.0372415i \(0.0118571\pi\)
\(938\) −0.706142 0.0825361i −0.0230563 0.00269490i
\(939\) −8.10945 1.58195i −0.264642 0.0516251i
\(940\) −22.3441 + 23.6834i −0.728786 + 0.772468i
\(941\) 3.74125 0.437289i 0.121961 0.0142552i −0.0548933 0.998492i \(-0.517482\pi\)
0.176855 + 0.984237i \(0.443408\pi\)
\(942\) 3.07760 4.49949i 0.100274 0.146601i
\(943\) −4.65403 79.9066i −0.151556 2.60212i
\(944\) 2.87961 4.98763i 0.0937232 0.162333i
\(945\) 9.39690 + 6.12929i 0.305681 + 0.199386i
\(946\) −25.6881 44.4930i −0.835191 1.44659i
\(947\) −13.4364 + 8.83729i −0.436626 + 0.287173i −0.748731 0.662874i \(-0.769336\pi\)
0.312105 + 0.950048i \(0.398966\pi\)
\(948\) −3.78176 + 14.7593i −0.122826 + 0.479359i
\(949\) 11.1292 25.8004i 0.361269 0.837515i
\(950\) 10.7770 + 2.55420i 0.349652 + 0.0828691i
\(951\) −0.154845 + 8.54328i −0.00502120 + 0.277035i
\(952\) 1.92406 2.58446i 0.0623591 0.0837628i
\(953\) −22.6638 8.24893i −0.734151 0.267209i −0.0522302 0.998635i \(-0.516633\pi\)
−0.681921 + 0.731426i \(0.738855\pi\)
\(954\) −12.2491 3.37626i −0.396578 0.109311i
\(955\) −17.0881 + 6.21956i −0.552958 + 0.201260i
\(956\) −0.828667 + 2.76794i −0.0268010 + 0.0895216i
\(957\) 1.77071 13.0878i 0.0572388 0.423068i
\(958\) −1.31908 + 22.6477i −0.0426175 + 0.731714i
\(959\) 8.51817 + 5.60249i 0.275066 + 0.180914i
\(960\) 1.14611 + 5.25873i 0.0369904 + 0.169725i
\(961\) −17.8625 + 4.23349i −0.576209 + 0.136564i
\(962\) −0.693177 + 3.93120i −0.0223489 + 0.126747i
\(963\) 3.12937 9.22232i 0.100843 0.297185i
\(964\) 0.00920844 + 0.0522236i 0.000296584 + 0.00168201i
\(965\) −17.7856 41.2316i −0.572538 1.32729i
\(966\) −5.33712 6.59982i −0.171719 0.212346i
\(967\) −5.39397 18.0171i −0.173458 0.579392i −0.999867 0.0163204i \(-0.994805\pi\)
0.826408 0.563071i \(-0.190380\pi\)
\(968\) 11.6762 + 15.6838i 0.375286 + 0.504097i
\(969\) −17.4032 7.88410i −0.559073 0.253274i
\(970\) 2.52685 + 1.26903i 0.0811324 + 0.0407462i
\(971\) −29.0121 −0.931043 −0.465522 0.885036i \(-0.654133\pi\)
−0.465522 + 0.885036i \(0.654133\pi\)
\(972\) 15.5336 1.30663i 0.498240 0.0419102i
\(973\) 8.90126 0.285361
\(974\) −24.2018 12.1546i −0.775477 0.389459i
\(975\) −24.0044 10.8746i −0.768755 0.348265i
\(976\) 1.03387 + 1.38873i 0.0330935 + 0.0444523i
\(977\) 0.146593 + 0.489655i 0.00468993 + 0.0156655i 0.960302 0.278961i \(-0.0899900\pi\)
−0.955613 + 0.294626i \(0.904805\pi\)
\(978\) 11.6243 + 14.3745i 0.371703 + 0.459644i
\(979\) −8.10432 18.7879i −0.259015 0.600464i
\(980\) 3.51665 + 19.9439i 0.112335 + 0.637084i
\(981\) 24.8495 4.94586i 0.793385 0.157909i
\(982\) 1.23480 7.00292i 0.0394042 0.223472i
\(983\) −34.0298 + 8.06522i −1.08538 + 0.257241i −0.734109 0.679032i \(-0.762400\pi\)
−0.351275 + 0.936272i \(0.614252\pi\)
\(984\) −4.18594 19.2066i −0.133443 0.612283i
\(985\) −12.4208 8.16929i −0.395760 0.260295i
\(986\) 0.371942 6.38600i 0.0118451 0.203372i
\(987\) 1.69073 12.4966i 0.0538165 0.397773i
\(988\) −2.22946 + 7.44693i −0.0709287 + 0.236918i
\(989\) −61.5989 + 22.4202i −1.95873 + 0.712920i
\(990\) −36.6957 + 36.1742i −1.16627 + 1.14969i
\(991\) −7.26164 2.64302i −0.230674 0.0839583i 0.224097 0.974567i \(-0.428057\pi\)
−0.454771 + 0.890608i \(0.650279\pi\)
\(992\) 2.12329 2.85207i 0.0674145 0.0905534i
\(993\) 0.650570 35.8939i 0.0206452 1.13906i
\(994\) −7.96918 1.88873i −0.252767 0.0599069i
\(995\) −19.1555 + 44.4075i −0.607271 + 1.40781i
\(996\) −3.90340 + 15.2340i −0.123684 + 0.482707i
\(997\) 2.97274 1.95520i 0.0941476 0.0619218i −0.501562 0.865122i \(-0.667241\pi\)
0.595710 + 0.803200i \(0.296871\pi\)
\(998\) −14.8874 25.7857i −0.471252 0.816233i
\(999\) −2.49187 + 5.83785i −0.0788392 + 0.184701i
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 162.2.g.b.13.1 90
3.2 odd 2 486.2.g.b.253.1 90
81.25 even 27 inner 162.2.g.b.25.1 yes 90
81.56 odd 54 486.2.g.b.73.1 90
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
162.2.g.b.13.1 90 1.1 even 1 trivial
162.2.g.b.25.1 yes 90 81.25 even 27 inner
486.2.g.b.73.1 90 81.56 odd 54
486.2.g.b.253.1 90 3.2 odd 2