Properties

Label 441.2.z.a.142.6
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.6
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.874498 + 2.22818i) q^{2} +(0.970834 - 1.43439i) q^{3} +(-2.73395 - 2.53674i) q^{4} +(3.39938 - 1.63705i) q^{5} +(2.34710 + 3.41757i) q^{6} +(1.06773 + 2.42074i) q^{7} +(3.72995 - 1.79625i) q^{8} +(-1.11496 - 2.78511i) q^{9} +O(q^{10})\) \(q+(-0.874498 + 2.22818i) q^{2} +(0.970834 - 1.43439i) q^{3} +(-2.73395 - 2.53674i) q^{4} +(3.39938 - 1.63705i) q^{5} +(2.34710 + 3.41757i) q^{6} +(1.06773 + 2.42074i) q^{7} +(3.72995 - 1.79625i) q^{8} +(-1.11496 - 2.78511i) q^{9} +(0.674909 + 9.00604i) q^{10} +(-2.04830 - 2.56849i) q^{11} +(-6.29289 + 1.45881i) q^{12} +(2.32389 - 5.92117i) q^{13} +(-6.32757 + 0.262165i) q^{14} +(0.952052 - 6.46535i) q^{15} +(0.183121 + 2.44358i) q^{16} +(-1.49068 + 1.38315i) q^{17} +(7.18078 - 0.0487699i) q^{18} +(-0.0966792 + 0.167453i) q^{19} +(-13.4465 - 4.14770i) q^{20} +(4.50887 + 0.818591i) q^{21} +(7.51430 - 2.31785i) q^{22} +(-0.854157 + 3.74231i) q^{23} +(1.04463 - 7.09407i) q^{24} +(5.75837 - 7.22077i) q^{25} +(11.1612 + 10.3561i) q^{26} +(-5.07739 - 1.10459i) q^{27} +(3.22165 - 9.32672i) q^{28} +(-0.654851 - 0.201995i) q^{29} +(13.5734 + 7.77528i) q^{30} +(-2.46524 + 4.26992i) q^{31} +(2.30711 + 0.711651i) q^{32} +(-5.67278 + 0.444493i) q^{33} +(-1.77831 - 4.53107i) q^{34} +(7.59248 + 6.48106i) q^{35} +(-4.01684 + 10.4427i) q^{36} +(9.59933 + 2.96100i) q^{37} +(-0.288571 - 0.361856i) q^{38} +(-6.23718 - 9.08184i) q^{39} +(9.73894 - 12.2123i) q^{40} +(2.42604 + 1.65405i) q^{41} +(-5.76697 + 9.33073i) q^{42} +(6.13036 - 4.17961i) q^{43} +(-0.915622 + 12.2181i) q^{44} +(-8.34956 - 7.64239i) q^{45} +(-7.59159 - 5.17586i) q^{46} +(-3.31857 + 8.45558i) q^{47} +(3.68284 + 2.10965i) q^{48} +(-4.71992 + 5.16937i) q^{49} +(11.0535 + 19.1452i) q^{50} +(0.536776 + 3.48103i) q^{51} +(-21.3739 + 10.2931i) q^{52} +(-8.97258 + 2.76768i) q^{53} +(6.90138 - 10.3474i) q^{54} +(-11.1677 - 5.37808i) q^{55} +(8.33081 + 7.11131i) q^{56} +(0.146334 + 0.301245i) q^{57} +(1.02275 - 1.28248i) q^{58} +(1.05545 - 0.719590i) q^{59} +(-19.0038 + 15.2608i) q^{60} +(-3.51668 + 3.26300i) q^{61} +(-7.35833 - 9.22705i) q^{62} +(5.55154 - 5.67277i) q^{63} +(-6.65890 + 8.35000i) q^{64} +(-1.79350 - 23.9326i) q^{65} +(3.97042 - 13.0287i) q^{66} +(2.89648 - 5.01686i) q^{67} +7.58413 q^{68} +(4.53869 + 4.85835i) q^{69} +(-21.0806 + 11.2498i) q^{70} +(-1.83876 + 8.05613i) q^{71} +(-9.16151 - 8.38558i) q^{72} +(15.7489 + 2.37376i) q^{73} +(-14.9923 + 18.7997i) q^{74} +(-4.76699 - 15.2699i) q^{75} +(0.689101 - 0.212560i) q^{76} +(4.03060 - 7.70084i) q^{77} +(25.6904 - 5.95553i) q^{78} +(2.64250 + 4.57695i) q^{79} +(4.62278 + 8.00689i) q^{80} +(-6.51371 + 6.21060i) q^{81} +(-5.80709 + 3.95921i) q^{82} +(0.110991 + 0.282801i) q^{83} +(-10.2505 - 13.6758i) q^{84} +(-2.80309 + 7.14216i) q^{85} +(3.95195 + 17.3146i) q^{86} +(-0.925491 + 0.743210i) q^{87} +(-12.2537 - 5.90107i) q^{88} +(0.0719306 + 0.183276i) q^{89} +(24.3303 - 11.9211i) q^{90} +(16.8149 - 0.696678i) q^{91} +(11.8285 - 8.06452i) q^{92} +(3.73141 + 7.68151i) q^{93} +(-15.9385 - 14.7888i) q^{94} +(-0.0545190 + 0.727506i) q^{95} +(3.26061 - 2.61841i) q^{96} +(0.137584 - 0.238303i) q^{97} +(-7.39075 - 15.0374i) q^{98} +(-4.86975 + 8.56852i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.874498 + 2.22818i −0.618363 + 1.57556i 0.186727 + 0.982412i \(0.440212\pi\)
−0.805090 + 0.593152i \(0.797883\pi\)
\(3\) 0.970834 1.43439i 0.560511 0.828147i
\(4\) −2.73395 2.53674i −1.36698 1.26837i
\(5\) 3.39938 1.63705i 1.52025 0.732113i 0.527190 0.849747i \(-0.323245\pi\)
0.993057 + 0.117635i \(0.0375311\pi\)
\(6\) 2.34710 + 3.41757i 0.958199 + 1.39522i
\(7\) 1.06773 + 2.42074i 0.403563 + 0.914952i
\(8\) 3.72995 1.79625i 1.31874 0.635070i
\(9\) −1.11496 2.78511i −0.371655 0.928371i
\(10\) 0.674909 + 9.00604i 0.213425 + 2.84796i
\(11\) −2.04830 2.56849i −0.617586 0.774428i 0.370417 0.928866i \(-0.379215\pi\)
−0.988003 + 0.154438i \(0.950643\pi\)
\(12\) −6.29289 + 1.45881i −1.81660 + 0.421123i
\(13\) 2.32389 5.92117i 0.644531 1.64224i −0.116243 0.993221i \(-0.537085\pi\)
0.760774 0.649017i \(-0.224820\pi\)
\(14\) −6.32757 + 0.262165i −1.69111 + 0.0700667i
\(15\) 0.952052 6.46535i 0.245819 1.66935i
\(16\) 0.183121 + 2.44358i 0.0457803 + 0.610896i
\(17\) −1.49068 + 1.38315i −0.361543 + 0.335463i −0.839938 0.542682i \(-0.817409\pi\)
0.478396 + 0.878144i \(0.341219\pi\)
\(18\) 7.18078 0.0487699i 1.69253 0.0114952i
\(19\) −0.0966792 + 0.167453i −0.0221797 + 0.0384164i −0.876902 0.480669i \(-0.840394\pi\)
0.854723 + 0.519085i \(0.173727\pi\)
\(20\) −13.4465 4.14770i −3.00673 0.927454i
\(21\) 4.50887 + 0.818591i 0.983916 + 0.178631i
\(22\) 7.51430 2.31785i 1.60205 0.494168i
\(23\) −0.854157 + 3.74231i −0.178104 + 0.780325i 0.804401 + 0.594087i \(0.202487\pi\)
−0.982505 + 0.186238i \(0.940371\pi\)
\(24\) 1.04463 7.09407i 0.213235 1.44807i
\(25\) 5.75837 7.22077i 1.15167 1.44415i
\(26\) 11.1612 + 10.3561i 2.18890 + 2.03100i
\(27\) −5.07739 1.10459i −0.977144 0.212578i
\(28\) 3.22165 9.32672i 0.608835 1.76258i
\(29\) −0.654851 0.201995i −0.121603 0.0375095i 0.233357 0.972391i \(-0.425029\pi\)
−0.354959 + 0.934882i \(0.615505\pi\)
\(30\) 13.5734 + 7.77528i 2.47816 + 1.41956i
\(31\) −2.46524 + 4.26992i −0.442770 + 0.766901i −0.997894 0.0648671i \(-0.979338\pi\)
0.555124 + 0.831768i \(0.312671\pi\)
\(32\) 2.30711 + 0.711651i 0.407844 + 0.125803i
\(33\) −5.67278 + 0.444493i −0.987504 + 0.0773763i
\(34\) −1.77831 4.53107i −0.304978 0.777072i
\(35\) 7.59248 + 6.48106i 1.28336 + 1.09550i
\(36\) −4.01684 + 10.4427i −0.669474 + 1.74046i
\(37\) 9.59933 + 2.96100i 1.57812 + 0.486786i 0.955315 0.295591i \(-0.0955164\pi\)
0.622806 + 0.782376i \(0.285993\pi\)
\(38\) −0.288571 0.361856i −0.0468124 0.0587009i
\(39\) −6.23718 9.08184i −0.998748 1.45426i
\(40\) 9.73894 12.2123i 1.53986 1.93093i
\(41\) 2.42604 + 1.65405i 0.378884 + 0.258319i 0.737755 0.675068i \(-0.235886\pi\)
−0.358871 + 0.933387i \(0.616838\pi\)
\(42\) −5.76697 + 9.33073i −0.889862 + 1.43976i
\(43\) 6.13036 4.17961i 0.934871 0.637384i 0.00293069 0.999996i \(-0.499067\pi\)
0.931940 + 0.362611i \(0.118115\pi\)
\(44\) −0.915622 + 12.2181i −0.138035 + 1.84195i
\(45\) −8.34956 7.64239i −1.24468 1.13926i
\(46\) −7.59159 5.17586i −1.11932 0.763138i
\(47\) −3.31857 + 8.45558i −0.484063 + 1.23337i 0.455266 + 0.890356i \(0.349544\pi\)
−0.939329 + 0.343018i \(0.888551\pi\)
\(48\) 3.68284 + 2.10965i 0.531572 + 0.304501i
\(49\) −4.71992 + 5.16937i −0.674274 + 0.738481i
\(50\) 11.0535 + 19.1452i 1.56320 + 2.70755i
\(51\) 0.536776 + 3.48103i 0.0751637 + 0.487441i
\(52\) −21.3739 + 10.2931i −2.96402 + 1.42740i
\(53\) −8.97258 + 2.76768i −1.23248 + 0.380169i −0.841514 0.540236i \(-0.818335\pi\)
−0.390966 + 0.920405i \(0.627859\pi\)
\(54\) 6.90138 10.3474i 0.939160 1.40810i
\(55\) −11.1677 5.37808i −1.50585 0.725180i
\(56\) 8.33081 + 7.11131i 1.11325 + 0.950289i
\(57\) 0.146334 + 0.301245i 0.0193824 + 0.0399009i
\(58\) 1.02275 1.28248i 0.134293 0.168398i
\(59\) 1.05545 0.719590i 0.137407 0.0936827i −0.492666 0.870219i \(-0.663977\pi\)
0.630073 + 0.776536i \(0.283025\pi\)
\(60\) −19.0038 + 15.2608i −2.45337 + 1.97017i
\(61\) −3.51668 + 3.26300i −0.450265 + 0.417784i −0.872434 0.488733i \(-0.837459\pi\)
0.422169 + 0.906517i \(0.361269\pi\)
\(62\) −7.35833 9.22705i −0.934508 1.17184i
\(63\) 5.55154 5.67277i 0.699429 0.714702i
\(64\) −6.65890 + 8.35000i −0.832362 + 1.04375i
\(65\) −1.79350 23.9326i −0.222457 2.96848i
\(66\) 3.97042 13.0287i 0.488725 1.60372i
\(67\) 2.89648 5.01686i 0.353862 0.612907i −0.633061 0.774102i \(-0.718202\pi\)
0.986922 + 0.161196i \(0.0515350\pi\)
\(68\) 7.58413 0.919711
\(69\) 4.53869 + 4.85835i 0.546394 + 0.584877i
\(70\) −21.0806 + 11.2498i −2.51961 + 1.34460i
\(71\) −1.83876 + 8.05613i −0.218221 + 0.956087i 0.740571 + 0.671978i \(0.234555\pi\)
−0.958792 + 0.284109i \(0.908302\pi\)
\(72\) −9.16151 8.38558i −1.07969 0.988250i
\(73\) 15.7489 + 2.37376i 1.84327 + 0.277828i 0.975639 0.219384i \(-0.0704048\pi\)
0.867629 + 0.497212i \(0.165643\pi\)
\(74\) −14.9923 + 18.7997i −1.74281 + 2.18542i
\(75\) −4.76699 15.2699i −0.550445 1.76322i
\(76\) 0.689101 0.212560i 0.0790453 0.0243823i
\(77\) 4.03060 7.70084i 0.459330 0.877592i
\(78\) 25.6904 5.95553i 2.90887 0.674330i
\(79\) 2.64250 + 4.57695i 0.297305 + 0.514947i 0.975518 0.219918i \(-0.0705789\pi\)
−0.678213 + 0.734865i \(0.737246\pi\)
\(80\) 4.62278 + 8.00689i 0.516842 + 0.895197i
\(81\) −6.51371 + 6.21060i −0.723746 + 0.690067i
\(82\) −5.80709 + 3.95921i −0.641286 + 0.437221i
\(83\) 0.110991 + 0.282801i 0.0121829 + 0.0310414i 0.936836 0.349770i \(-0.113740\pi\)
−0.924653 + 0.380811i \(0.875645\pi\)
\(84\) −10.2505 13.6758i −1.11842 1.49215i
\(85\) −2.80309 + 7.14216i −0.304038 + 0.774676i
\(86\) 3.95195 + 17.3146i 0.426150 + 1.86708i
\(87\) −0.925491 + 0.743210i −0.0992231 + 0.0796805i
\(88\) −12.2537 5.90107i −1.30625 0.629056i
\(89\) 0.0719306 + 0.183276i 0.00762462 + 0.0194272i 0.934635 0.355608i \(-0.115726\pi\)
−0.927011 + 0.375035i \(0.877631\pi\)
\(90\) 24.3303 11.9211i 2.56464 1.25659i
\(91\) 16.8149 0.696678i 1.76268 0.0730317i
\(92\) 11.8285 8.06452i 1.23320 0.840784i
\(93\) 3.73141 + 7.68151i 0.386929 + 0.796535i
\(94\) −15.9385 14.7888i −1.64393 1.52535i
\(95\) −0.0545190 + 0.727506i −0.00559353 + 0.0746405i
\(96\) 3.26061 2.61841i 0.332785 0.267241i
\(97\) 0.137584 0.238303i 0.0139695 0.0241960i −0.858956 0.512049i \(-0.828887\pi\)
0.872926 + 0.487853i \(0.162220\pi\)
\(98\) −7.39075 15.0374i −0.746578 1.51901i
\(99\) −4.86975 + 8.56852i −0.489428 + 0.861169i
\(100\) −34.0603 + 5.13376i −3.40603 + 0.513376i
\(101\) 3.21960 1.55048i 0.320362 0.154278i −0.266791 0.963755i \(-0.585963\pi\)
0.587152 + 0.809476i \(0.300249\pi\)
\(102\) −8.22578 1.84811i −0.814473 0.182991i
\(103\) −9.49449 + 4.57231i −0.935520 + 0.450523i −0.838587 0.544768i \(-0.816618\pi\)
−0.0969333 + 0.995291i \(0.530903\pi\)
\(104\) −1.96791 26.2600i −0.192970 2.57500i
\(105\) 16.6674 4.59856i 1.62657 0.448774i
\(106\) 1.67961 22.4129i 0.163139 2.17693i
\(107\) 3.13550 + 7.98912i 0.303120 + 0.772338i 0.998555 + 0.0537481i \(0.0171168\pi\)
−0.695434 + 0.718590i \(0.744788\pi\)
\(108\) 11.0793 + 15.8999i 1.06611 + 1.52997i
\(109\) 2.06660 5.26562i 0.197945 0.504355i −0.797093 0.603857i \(-0.793630\pi\)
0.995037 + 0.0995022i \(0.0317250\pi\)
\(110\) 21.7495 20.1806i 2.07373 1.92414i
\(111\) 13.5666 10.8946i 1.28768 1.03407i
\(112\) −5.71975 + 3.05237i −0.540465 + 0.288422i
\(113\) −10.5518 1.59042i −0.992626 0.149614i −0.367404 0.930061i \(-0.619753\pi\)
−0.625222 + 0.780447i \(0.714991\pi\)
\(114\) −0.799198 + 0.0626215i −0.0748518 + 0.00586504i
\(115\) 3.22275 + 14.1198i 0.300523 + 1.31668i
\(116\) 1.27792 + 2.21343i 0.118652 + 0.205512i
\(117\) −19.0822 + 0.129601i −1.76415 + 0.0119816i
\(118\) 0.680395 + 2.98101i 0.0626354 + 0.274424i
\(119\) −4.93987 2.13171i −0.452838 0.195414i
\(120\) −8.06227 25.8255i −0.735981 2.35754i
\(121\) 0.0461369 0.202139i 0.00419426 0.0183763i
\(122\) −4.19524 10.6893i −0.379819 0.967763i
\(123\) 4.72784 1.87409i 0.426295 0.168981i
\(124\) 17.5715 5.42010i 1.57797 0.486739i
\(125\) 3.55620 15.5807i 0.318076 1.39358i
\(126\) 7.78517 + 17.3307i 0.693558 + 1.54394i
\(127\) −3.84025 16.8252i −0.340767 1.49300i −0.797458 0.603374i \(-0.793823\pi\)
0.456691 0.889625i \(-0.349034\pi\)
\(128\) −10.3678 17.9575i −0.916389 1.58723i
\(129\) −0.0436399 12.8510i −0.00384228 1.13147i
\(130\) 54.8947 + 16.9328i 4.81458 + 1.48510i
\(131\) −8.33743 4.01509i −0.728444 0.350800i 0.0326278 0.999468i \(-0.489612\pi\)
−0.761072 + 0.648667i \(0.775327\pi\)
\(132\) 16.6367 + 13.1751i 1.44804 + 1.14675i
\(133\) −0.508587 0.0552403i −0.0441001 0.00478994i
\(134\) 8.64551 + 10.8411i 0.746858 + 0.936531i
\(135\) −19.0682 + 4.55706i −1.64113 + 0.392209i
\(136\) −3.07568 + 7.83670i −0.263737 + 0.671992i
\(137\) −2.95762 1.42432i −0.252687 0.121687i 0.303253 0.952910i \(-0.401927\pi\)
−0.555940 + 0.831223i \(0.687642\pi\)
\(138\) −14.7944 + 5.86442i −1.25938 + 0.499213i
\(139\) −2.23147 1.52139i −0.189270 0.129042i 0.464978 0.885322i \(-0.346062\pi\)
−0.654248 + 0.756280i \(0.727015\pi\)
\(140\) −4.31673 36.9790i −0.364830 3.12530i
\(141\) 8.90684 + 12.9691i 0.750091 + 1.09220i
\(142\) −16.3425 11.1422i −1.37144 0.935029i
\(143\) −19.9685 + 6.15946i −1.66985 + 0.515080i
\(144\) 6.60149 3.23452i 0.550124 0.269544i
\(145\) −2.55676 + 0.385370i −0.212328 + 0.0320032i
\(146\) −19.0615 + 33.0156i −1.57754 + 2.73239i
\(147\) 2.83265 + 11.7888i 0.233633 + 0.972325i
\(148\) −18.7328 32.4462i −1.53983 2.66706i
\(149\) −4.40115 5.51887i −0.360556 0.452123i 0.568158 0.822919i \(-0.307656\pi\)
−0.928714 + 0.370796i \(0.879085\pi\)
\(150\) 38.1929 + 2.73177i 3.11844 + 0.223048i
\(151\) −3.49136 + 15.2967i −0.284123 + 1.24482i 0.608330 + 0.793684i \(0.291840\pi\)
−0.892453 + 0.451140i \(0.851017\pi\)
\(152\) −0.0598207 + 0.798252i −0.00485210 + 0.0647468i
\(153\) 5.51428 + 2.60955i 0.445803 + 0.210970i
\(154\) 13.6341 + 15.7153i 1.09867 + 1.26637i
\(155\) −1.39019 + 18.5508i −0.111663 + 1.49004i
\(156\) −5.98611 + 40.6514i −0.479272 + 3.25472i
\(157\) −8.38471 + 5.71660i −0.669173 + 0.456234i −0.849652 0.527345i \(-0.823188\pi\)
0.180479 + 0.983579i \(0.442235\pi\)
\(158\) −12.5092 + 1.88545i −0.995175 + 0.149998i
\(159\) −4.74095 + 15.5572i −0.375982 + 1.23376i
\(160\) 9.00776 1.35770i 0.712126 0.107336i
\(161\) −9.97114 + 1.92807i −0.785836 + 0.151954i
\(162\) −8.14214 19.9449i −0.639707 1.56702i
\(163\) −1.52340 + 1.03863i −0.119322 + 0.0813521i −0.621510 0.783406i \(-0.713481\pi\)
0.502189 + 0.864758i \(0.332528\pi\)
\(164\) −2.43680 10.6763i −0.190282 0.833681i
\(165\) −18.5563 + 10.7976i −1.44460 + 0.840595i
\(166\) −0.727194 −0.0564412
\(167\) −3.12448 + 2.89909i −0.241779 + 0.224338i −0.791750 0.610846i \(-0.790830\pi\)
0.549970 + 0.835184i \(0.314639\pi\)
\(168\) 18.2882 5.04575i 1.41097 0.389288i
\(169\) −20.1302 18.6781i −1.54847 1.43677i
\(170\) −13.4628 12.4916i −1.03255 0.958063i
\(171\) 0.574170 + 0.0825581i 0.0439079 + 0.00631337i
\(172\) −27.3627 4.12426i −2.08639 0.314472i
\(173\) −8.23767 + 2.54098i −0.626298 + 0.193187i −0.591628 0.806211i \(-0.701514\pi\)
−0.0346707 + 0.999399i \(0.511038\pi\)
\(174\) −0.846669 2.71210i −0.0641858 0.205604i
\(175\) 23.6279 + 6.22968i 1.78610 + 0.470919i
\(176\) 5.90123 5.47554i 0.444822 0.412734i
\(177\) −0.00751334 2.21253i −0.000564737 0.166304i
\(178\) −0.471276 −0.0353236
\(179\) 12.2155 11.3343i 0.913029 0.847167i −0.0756622 0.997134i \(-0.524107\pi\)
0.988691 + 0.149966i \(0.0479166\pi\)
\(180\) 3.44056 + 42.0746i 0.256445 + 3.13605i
\(181\) −10.0372 + 12.5862i −0.746058 + 0.935527i −0.999493 0.0318256i \(-0.989868\pi\)
0.253436 + 0.967352i \(0.418439\pi\)
\(182\) −13.1522 + 38.0759i −0.974909 + 2.82237i
\(183\) 1.26631 + 8.21213i 0.0936087 + 0.607058i
\(184\) 3.53615 + 15.4929i 0.260688 + 1.14215i
\(185\) 37.4791 5.64906i 2.75552 0.415327i
\(186\) −20.3789 + 1.59680i −1.49425 + 0.117083i
\(187\) 6.60596 + 0.995688i 0.483076 + 0.0728119i
\(188\) 30.5224 14.6988i 2.22608 1.07202i
\(189\) −2.74736 13.4704i −0.199841 0.979828i
\(190\) −1.57334 0.757680i −0.114142 0.0549679i
\(191\) −6.78769 4.62777i −0.491140 0.334854i 0.292294 0.956328i \(-0.405581\pi\)
−0.783434 + 0.621475i \(0.786534\pi\)
\(192\) 5.51249 + 17.6579i 0.397830 + 1.27435i
\(193\) −0.108686 + 1.45031i −0.00782336 + 0.104395i −0.999748 0.0224299i \(-0.992860\pi\)
0.991925 + 0.126825i \(0.0404788\pi\)
\(194\) 0.410665 + 0.514958i 0.0294840 + 0.0369718i
\(195\) −36.0700 20.6620i −2.58302 1.47964i
\(196\) 26.0174 2.15962i 1.85838 0.154259i
\(197\) 15.1098 1.07653 0.538264 0.842776i \(-0.319080\pi\)
0.538264 + 0.842776i \(0.319080\pi\)
\(198\) −14.8337 18.3438i −1.05418 1.30364i
\(199\) 15.7996 + 10.7720i 1.12000 + 0.763605i 0.974195 0.225708i \(-0.0724694\pi\)
0.145808 + 0.989313i \(0.453422\pi\)
\(200\) 8.50813 37.2765i 0.601615 2.63585i
\(201\) −4.38414 9.02523i −0.309233 0.636590i
\(202\) 0.639216 + 8.52974i 0.0449751 + 0.600150i
\(203\) −0.210226 1.80090i −0.0147550 0.126398i
\(204\) 7.36293 10.8786i 0.515508 0.761656i
\(205\) 10.9548 + 1.65117i 0.765116 + 0.115323i
\(206\) −1.88503 25.1539i −0.131336 1.75256i
\(207\) 11.3751 1.79361i 0.790624 0.124665i
\(208\) 14.8944 + 4.59433i 1.03274 + 0.318559i
\(209\) 0.628129 0.0946753i 0.0434486 0.00654883i
\(210\) −4.32918 + 41.1595i −0.298742 + 2.84028i
\(211\) 6.53252 + 0.984619i 0.449717 + 0.0677839i 0.369996 0.929033i \(-0.379359\pi\)
0.0797209 + 0.996817i \(0.474597\pi\)
\(212\) 31.5515 + 15.1944i 2.16697 + 1.04356i
\(213\) 9.77052 + 10.4587i 0.669465 + 0.716616i
\(214\) −20.5432 −1.40431
\(215\) 13.9972 24.2438i 0.954598 1.65341i
\(216\) −20.9225 + 5.00021i −1.42360 + 0.340221i
\(217\) −12.9686 1.40858i −0.880363 0.0956208i
\(218\) 9.92553 + 9.20954i 0.672241 + 0.623749i
\(219\) 18.6945 20.2856i 1.26325 1.37077i
\(220\) 16.8892 + 43.0329i 1.13867 + 2.90128i
\(221\) 4.72569 + 12.0409i 0.317884 + 0.809956i
\(222\) 12.4112 + 39.7561i 0.832982 + 2.66826i
\(223\) −8.98397 8.33591i −0.601611 0.558214i 0.319464 0.947598i \(-0.396497\pi\)
−0.921075 + 0.389385i \(0.872688\pi\)
\(224\) 0.740652 + 6.34476i 0.0494869 + 0.423927i
\(225\) −26.5310 7.98681i −1.76873 0.532454i
\(226\) 12.7712 22.1204i 0.849530 1.47143i
\(227\) 20.3731 1.35221 0.676105 0.736806i \(-0.263667\pi\)
0.676105 + 0.736806i \(0.263667\pi\)
\(228\) 0.364109 1.19480i 0.0241137 0.0791277i
\(229\) −16.3265 7.86241i −1.07888 0.519563i −0.191924 0.981410i \(-0.561473\pi\)
−0.886960 + 0.461847i \(0.847187\pi\)
\(230\) −34.2798 5.16685i −2.26034 0.340692i
\(231\) −7.13298 13.2577i −0.469316 0.872292i
\(232\) −2.80539 + 0.422845i −0.184183 + 0.0277611i
\(233\) −18.6486 5.75232i −1.22171 0.376847i −0.384189 0.923255i \(-0.625519\pi\)
−0.837519 + 0.546408i \(0.815995\pi\)
\(234\) 16.3986 42.6320i 1.07201 2.78694i
\(235\) 2.56117 + 34.1764i 0.167072 + 2.22942i
\(236\) −4.71095 0.710061i −0.306657 0.0462211i
\(237\) 9.13058 + 0.653070i 0.593095 + 0.0424215i
\(238\) 9.06976 9.14277i 0.587905 0.592638i
\(239\) 0.936625 + 12.4984i 0.0605852 + 0.808453i 0.941893 + 0.335912i \(0.109044\pi\)
−0.881308 + 0.472542i \(0.843337\pi\)
\(240\) 15.9730 + 1.14248i 1.03105 + 0.0737465i
\(241\) 2.73473 11.9817i 0.176160 0.771806i −0.807221 0.590250i \(-0.799029\pi\)
0.983381 0.181557i \(-0.0581135\pi\)
\(242\) 0.410056 + 0.279571i 0.0263594 + 0.0179715i
\(243\) 2.58471 + 15.3727i 0.165809 + 0.986158i
\(244\) 17.8918 1.14541
\(245\) −7.58224 + 25.2994i −0.484411 + 1.61632i
\(246\) 0.0413386 + 12.1734i 0.00263566 + 0.776146i
\(247\) 0.766848 + 0.961597i 0.0487934 + 0.0611849i
\(248\) −1.52538 + 20.3548i −0.0968617 + 1.29253i
\(249\) 0.513402 + 0.115348i 0.0325355 + 0.00730987i
\(250\) 31.6068 + 21.5492i 1.99899 + 1.36289i
\(251\) 16.1735 + 7.78872i 1.02086 + 0.491620i 0.867966 0.496623i \(-0.165427\pi\)
0.152893 + 0.988243i \(0.451141\pi\)
\(252\) −29.5680 + 1.42629i −1.86261 + 0.0898477i
\(253\) 11.3616 5.47148i 0.714300 0.343989i
\(254\) 40.8480 + 6.15685i 2.56303 + 0.386315i
\(255\) 7.52333 + 10.9546i 0.471129 + 0.686003i
\(256\) 27.9576 4.21393i 1.74735 0.263371i
\(257\) −6.00830 26.3241i −0.374787 1.64205i −0.713133 0.701028i \(-0.752725\pi\)
0.338346 0.941022i \(-0.390133\pi\)
\(258\) 28.6727 + 11.1410i 1.78508 + 0.693607i
\(259\) 3.08167 + 26.3990i 0.191486 + 1.64035i
\(260\) −55.8074 + 69.9803i −3.46103 + 4.34000i
\(261\) 0.167557 + 2.04905i 0.0103715 + 0.126833i
\(262\) 16.2374 15.0661i 1.00315 0.930789i
\(263\) 4.52204 0.278841 0.139420 0.990233i \(-0.455476\pi\)
0.139420 + 0.990233i \(0.455476\pi\)
\(264\) −20.3608 + 11.8477i −1.25312 + 0.729173i
\(265\) −25.9704 + 24.0970i −1.59535 + 1.48027i
\(266\) 0.567843 1.08492i 0.0348167 0.0665206i
\(267\) 0.332722 + 0.0747539i 0.0203623 + 0.00457487i
\(268\) −20.6453 + 6.36823i −1.26111 + 0.389002i
\(269\) 1.44752 + 0.218178i 0.0882567 + 0.0133025i 0.193022 0.981194i \(-0.438171\pi\)
−0.104765 + 0.994497i \(0.533409\pi\)
\(270\) 6.52116 46.4726i 0.396865 2.82824i
\(271\) 9.88116 + 9.16838i 0.600238 + 0.556939i 0.920675 0.390330i \(-0.127639\pi\)
−0.320437 + 0.947270i \(0.603830\pi\)
\(272\) −3.65282 3.38932i −0.221484 0.205508i
\(273\) 15.3251 24.7955i 0.927519 1.50069i
\(274\) 5.76007 5.34456i 0.347978 0.322877i
\(275\) −30.3413 −1.82965
\(276\) −0.0842027 24.7960i −0.00506841 1.49254i
\(277\) −0.0228029 0.0999061i −0.00137009 0.00600278i 0.974238 0.225521i \(-0.0724085\pi\)
−0.975608 + 0.219518i \(0.929551\pi\)
\(278\) 5.34134 3.64167i 0.320352 0.218413i
\(279\) 14.6409 + 2.10516i 0.876526 + 0.126033i
\(280\) 39.9612 + 10.5361i 2.38814 + 0.629649i
\(281\) −5.16622 + 0.778682i −0.308191 + 0.0464523i −0.301317 0.953524i \(-0.597426\pi\)
−0.00687400 + 0.999976i \(0.502188\pi\)
\(282\) −36.6865 + 8.50464i −2.18465 + 0.506444i
\(283\) −17.7139 + 2.66995i −1.05298 + 0.158712i −0.652652 0.757658i \(-0.726343\pi\)
−0.400332 + 0.916370i \(0.631105\pi\)
\(284\) 25.4634 17.3606i 1.51097 1.03016i
\(285\) 0.990600 + 0.784488i 0.0586781 + 0.0464691i
\(286\) 3.73798 49.8799i 0.221031 2.94946i
\(287\) −1.41366 + 7.63888i −0.0834457 + 0.450909i
\(288\) −0.590322 7.21904i −0.0347851 0.425386i
\(289\) −0.961386 + 12.8288i −0.0565521 + 0.754635i
\(290\) 1.37721 6.03394i 0.0808724 0.354325i
\(291\) −0.208248 0.428702i −0.0122077 0.0251309i
\(292\) −37.0351 46.4405i −2.16732 2.71773i
\(293\) 3.89991 + 6.75484i 0.227835 + 0.394622i 0.957166 0.289539i \(-0.0935020\pi\)
−0.729331 + 0.684161i \(0.760169\pi\)
\(294\) −28.7448 3.99762i −1.67643 0.233146i
\(295\) 2.40985 4.17398i 0.140307 0.243018i
\(296\) 41.1237 6.19840i 2.39027 0.360275i
\(297\) 7.56291 + 15.3037i 0.438844 + 0.888013i
\(298\) 16.1458 4.98033i 0.935303 0.288503i
\(299\) 20.1739 + 13.7543i 1.16669 + 0.795433i
\(300\) −25.7030 + 53.8399i −1.48397 + 3.10845i
\(301\) 16.6633 + 10.3773i 0.960455 + 0.598137i
\(302\) −31.0306 21.1563i −1.78561 1.21741i
\(303\) 0.901701 6.12342i 0.0518014 0.351781i
\(304\) −0.426890 0.205579i −0.0244838 0.0117908i
\(305\) −6.61281 + 16.8492i −0.378648 + 0.964780i
\(306\) −10.6368 + 10.0048i −0.608064 + 0.571935i
\(307\) −14.9309 18.7228i −0.852152 1.06856i −0.996867 0.0790910i \(-0.974798\pi\)
0.144716 0.989473i \(-0.453773\pi\)
\(308\) −30.5545 + 10.8291i −1.74100 + 0.617048i
\(309\) −2.65909 + 18.0578i −0.151270 + 1.02727i
\(310\) −40.1189 19.3202i −2.27860 1.09732i
\(311\) 3.69741 + 1.14050i 0.209661 + 0.0646718i 0.397806 0.917469i \(-0.369772\pi\)
−0.188146 + 0.982141i \(0.560248\pi\)
\(312\) −39.5776 22.6713i −2.24064 1.28351i
\(313\) 2.86242 + 4.95785i 0.161793 + 0.280234i 0.935512 0.353295i \(-0.114939\pi\)
−0.773718 + 0.633530i \(0.781605\pi\)
\(314\) −5.40522 23.6818i −0.305034 1.33644i
\(315\) 9.58515 28.3721i 0.540062 1.59858i
\(316\) 4.38604 19.2165i 0.246734 1.08101i
\(317\) 20.6790 6.37863i 1.16145 0.358259i 0.346645 0.937996i \(-0.387321\pi\)
0.814804 + 0.579737i \(0.196845\pi\)
\(318\) −30.5183 24.1684i −1.71138 1.35530i
\(319\) 0.822511 + 2.09572i 0.0460518 + 0.117338i
\(320\) −8.96672 + 39.2858i −0.501255 + 2.19614i
\(321\) 14.5036 + 3.25857i 0.809511 + 0.181876i
\(322\) 4.42363 23.9036i 0.246519 1.33210i
\(323\) −0.0874950 0.383341i −0.00486835 0.0213296i
\(324\) 33.5628 0.455920i 1.86460 0.0253289i
\(325\) −29.3736 50.8766i −1.62935 2.82212i
\(326\) −0.982061 4.30269i −0.0543914 0.238304i
\(327\) −5.54664 8.07636i −0.306730 0.446624i
\(328\) 12.0201 + 1.81174i 0.663699 + 0.100036i
\(329\) −24.0121 + 0.994874i −1.32383 + 0.0548492i
\(330\) −7.83173 50.7892i −0.431122 2.79586i
\(331\) 7.15835 6.64198i 0.393459 0.365076i −0.458492 0.888699i \(-0.651610\pi\)
0.851950 + 0.523622i \(0.175420\pi\)
\(332\) 0.413947 1.05472i 0.0227183 0.0578853i
\(333\) −2.45619 30.0366i −0.134598 1.64600i
\(334\) −3.72736 9.49716i −0.203952 0.519661i
\(335\) 1.63338 21.7959i 0.0892408 1.19084i
\(336\) −1.17463 + 11.1677i −0.0640811 + 0.609248i
\(337\) 1.97003 + 26.2882i 0.107314 + 1.43201i 0.747741 + 0.663990i \(0.231138\pi\)
−0.640427 + 0.768019i \(0.721243\pi\)
\(338\) 59.2219 28.5198i 3.22125 1.55127i
\(339\) −12.5253 + 13.5913i −0.680280 + 0.738180i
\(340\) 25.7813 12.4156i 1.39819 0.673332i
\(341\) 16.0168 2.41414i 0.867358 0.130733i
\(342\) −0.686065 + 1.20716i −0.0370981 + 0.0652757i
\(343\) −17.5533 5.90619i −0.947787 0.318904i
\(344\) 15.3583 26.6014i 0.828065 1.43425i
\(345\) 23.3821 + 9.08529i 1.25885 + 0.489136i
\(346\) 1.54204 20.5771i 0.0829007 1.10623i
\(347\) −0.414971 0.385037i −0.0222768 0.0206699i 0.668956 0.743302i \(-0.266742\pi\)
−0.691233 + 0.722632i \(0.742932\pi\)
\(348\) 4.41558 + 0.315827i 0.236700 + 0.0169301i
\(349\) 21.7480 14.8276i 1.16415 0.793701i 0.182274 0.983248i \(-0.441654\pi\)
0.981872 + 0.189547i \(0.0607019\pi\)
\(350\) −34.5434 + 47.1995i −1.84642 + 2.52292i
\(351\) −18.3397 + 27.4972i −0.978903 + 1.46769i
\(352\) −2.89780 7.38347i −0.154453 0.393540i
\(353\) −28.7314 13.8363i −1.52922 0.736433i −0.535106 0.844785i \(-0.679728\pi\)
−0.994113 + 0.108353i \(0.965442\pi\)
\(354\) 4.93648 + 1.91811i 0.262371 + 0.101946i
\(355\) 6.93768 + 30.3960i 0.368214 + 1.61325i
\(356\) 0.268269 0.683537i 0.0142182 0.0362274i
\(357\) −7.85351 + 5.01618i −0.415652 + 0.265484i
\(358\) 14.5725 + 37.1302i 0.770182 + 1.96239i
\(359\) 3.79107 2.58470i 0.200085 0.136415i −0.459133 0.888368i \(-0.651840\pi\)
0.659218 + 0.751952i \(0.270888\pi\)
\(360\) −44.8711 13.5078i −2.36491 0.711926i
\(361\) 9.48131 + 16.4221i 0.499016 + 0.864321i
\(362\) −19.2669 33.3713i −1.01265 1.75396i
\(363\) −0.245155 0.262422i −0.0128673 0.0137736i
\(364\) −47.7384 40.7502i −2.50217 2.13589i
\(365\) 57.4224 17.7125i 3.00562 0.927112i
\(366\) −19.4055 4.35991i −1.01434 0.227896i
\(367\) −7.31022 + 9.16673i −0.381590 + 0.478499i −0.935120 0.354330i \(-0.884709\pi\)
0.553530 + 0.832829i \(0.313280\pi\)
\(368\) −9.30106 1.40191i −0.484851 0.0730795i
\(369\) 1.90176 8.60101i 0.0990017 0.447750i
\(370\) −20.1882 + 88.4503i −1.04954 + 4.59831i
\(371\) −16.2801 18.7651i −0.845220 0.974237i
\(372\) 9.28448 30.4665i 0.481378 1.57961i
\(373\) 0.833911 0.0431783 0.0215891 0.999767i \(-0.493127\pi\)
0.0215891 + 0.999767i \(0.493127\pi\)
\(374\) −7.99547 + 13.8486i −0.413436 + 0.716092i
\(375\) −18.8964 20.2273i −0.975806 1.04453i
\(376\) 2.81023 + 37.4999i 0.144926 + 1.93391i
\(377\) −2.71785 + 3.40807i −0.139976 + 0.175525i
\(378\) 32.4171 + 5.65822i 1.66736 + 0.291028i
\(379\) −3.94363 4.94516i −0.202571 0.254016i 0.670161 0.742216i \(-0.266225\pi\)
−0.872732 + 0.488200i \(0.837654\pi\)
\(380\) 1.99454 1.85067i 0.102318 0.0949371i
\(381\) −27.8623 10.8261i −1.42743 0.554637i
\(382\) 16.2473 11.0772i 0.831286 0.566761i
\(383\) −18.7623 + 23.5272i −0.958710 + 1.20218i 0.0205938 + 0.999788i \(0.493444\pi\)
−0.979304 + 0.202396i \(0.935127\pi\)
\(384\) −35.8234 2.56229i −1.82811 0.130756i
\(385\) 1.09485 32.7764i 0.0557987 1.67044i
\(386\) −3.13651 1.51046i −0.159644 0.0768805i
\(387\) −18.4758 12.4136i −0.939178 0.631020i
\(388\) −0.980659 + 0.302493i −0.0497854 + 0.0153568i
\(389\) 29.3510 14.1347i 1.48816 0.716658i 0.499424 0.866358i \(-0.333545\pi\)
0.988732 + 0.149700i \(0.0478306\pi\)
\(390\) 77.5819 62.3017i 3.92851 3.15477i
\(391\) −3.90289 6.76000i −0.197378 0.341868i
\(392\) −8.31957 + 27.7596i −0.420202 + 1.40207i
\(393\) −13.8535 + 8.06116i −0.698815 + 0.406632i
\(394\) −13.2135 + 33.6674i −0.665685 + 1.69614i
\(395\) 16.4756 + 11.2329i 0.828977 + 0.565187i
\(396\) 35.0497 11.0727i 1.76132 0.556422i
\(397\) 0.918945 12.2625i 0.0461205 0.615435i −0.925478 0.378801i \(-0.876337\pi\)
0.971599 0.236635i \(-0.0760444\pi\)
\(398\) −37.8187 + 25.7843i −1.89568 + 1.29245i
\(399\) −0.572989 + 0.675884i −0.0286854 + 0.0338365i
\(400\) 18.6990 + 12.7488i 0.934952 + 0.637439i
\(401\) −17.0177 + 21.3395i −0.849824 + 1.06565i 0.147242 + 0.989100i \(0.452960\pi\)
−0.997066 + 0.0765448i \(0.975611\pi\)
\(402\) 23.9438 1.87612i 1.19421 0.0935726i
\(403\) 19.5540 + 24.5200i 0.974055 + 1.22143i
\(404\) −12.7354 3.92834i −0.633609 0.195442i
\(405\) −11.9755 + 31.7755i −0.595066 + 1.57894i
\(406\) 4.19657 + 1.10646i 0.208272 + 0.0549125i
\(407\) −12.0570 30.7208i −0.597644 1.52277i
\(408\) 8.25494 + 12.0199i 0.408680 + 0.595072i
\(409\) 5.24217 + 1.61700i 0.259209 + 0.0799553i 0.421636 0.906765i \(-0.361456\pi\)
−0.162427 + 0.986721i \(0.551932\pi\)
\(410\) −13.2591 + 22.9654i −0.654818 + 1.13418i
\(411\) −4.91439 + 2.85962i −0.242409 + 0.141054i
\(412\) 37.5562 + 11.5846i 1.85026 + 0.570730i
\(413\) 2.86886 + 1.78663i 0.141168 + 0.0879142i
\(414\) −5.95100 + 26.9143i −0.292476 + 1.32277i
\(415\) 0.840261 + 0.779648i 0.0412468 + 0.0382714i
\(416\) 9.57529 12.0070i 0.469467 0.588693i
\(417\) −4.34865 + 1.72378i −0.212954 + 0.0844140i
\(418\) −0.338344 + 1.48238i −0.0165489 + 0.0725056i
\(419\) 6.72277 2.07370i 0.328429 0.101307i −0.126156 0.992010i \(-0.540264\pi\)
0.454585 + 0.890704i \(0.349788\pi\)
\(420\) −57.2333 29.7086i −2.79270 1.44963i
\(421\) 19.9615 + 6.15731i 0.972865 + 0.300089i 0.740139 0.672454i \(-0.234760\pi\)
0.232725 + 0.972543i \(0.425236\pi\)
\(422\) −7.90658 + 13.6946i −0.384886 + 0.666643i
\(423\) 27.2498 0.185073i 1.32493 0.00899858i
\(424\) −28.4958 + 26.4403i −1.38388 + 1.28405i
\(425\) 1.40351 + 18.7285i 0.0680802 + 0.908467i
\(426\) −31.8481 + 12.6244i −1.54305 + 0.611656i
\(427\) −11.6537 5.02895i −0.563963 0.243368i
\(428\) 11.6940 29.7958i 0.565251 1.44024i
\(429\) −10.5510 + 34.6225i −0.509407 + 1.67159i
\(430\) 41.7791 + 52.3894i 2.01477 + 2.52644i
\(431\) 0.166170 + 2.21739i 0.00800413 + 0.106808i 0.999775 0.0212190i \(-0.00675472\pi\)
−0.991771 + 0.128027i \(0.959136\pi\)
\(432\) 1.76937 12.6093i 0.0851288 0.606666i
\(433\) 32.5308 15.6660i 1.56333 0.752860i 0.565898 0.824476i \(-0.308530\pi\)
0.997432 + 0.0716155i \(0.0228155\pi\)
\(434\) 14.4796 27.6645i 0.695041 1.32794i
\(435\) −1.92942 + 4.04153i −0.0925086 + 0.193777i
\(436\) −19.0075 + 9.15352i −0.910293 + 0.438374i
\(437\) −0.544082 0.504834i −0.0260270 0.0241495i
\(438\) 28.8517 + 59.3944i 1.37859 + 2.83797i
\(439\) −2.84816 + 7.25699i −0.135935 + 0.346357i −0.982591 0.185784i \(-0.940517\pi\)
0.846655 + 0.532142i \(0.178613\pi\)
\(440\) −51.3153 −2.44636
\(441\) 19.6598 + 7.38184i 0.936182 + 0.351516i
\(442\) −30.9618 −1.47270
\(443\) −10.5213 + 26.8078i −0.499882 + 1.27368i 0.429000 + 0.903304i \(0.358866\pi\)
−0.928882 + 0.370375i \(0.879229\pi\)
\(444\) −64.7271 4.62965i −3.07181 0.219713i
\(445\) 0.544552 + 0.505270i 0.0258142 + 0.0239521i
\(446\) 26.4304 12.7282i 1.25152 0.602698i
\(447\) −12.1890 + 0.955074i −0.576520 + 0.0451735i
\(448\) −27.3230 7.20391i −1.29089 0.340353i
\(449\) 15.1536 7.29758i 0.715142 0.344394i −0.0406791 0.999172i \(-0.512952\pi\)
0.755821 + 0.654778i \(0.227238\pi\)
\(450\) 40.9974 52.1315i 1.93264 2.45750i
\(451\) −0.720863 9.61925i −0.0339441 0.452953i
\(452\) 24.8135 + 31.1152i 1.16713 + 1.46353i
\(453\) 18.5519 + 19.8585i 0.871644 + 0.933034i
\(454\) −17.8162 + 45.3950i −0.836157 + 2.13049i
\(455\) 56.0196 29.8951i 2.62624 1.40150i
\(456\) 1.08693 + 0.860776i 0.0509002 + 0.0403095i
\(457\) −2.84646 37.9834i −0.133152 1.77679i −0.519533 0.854450i \(-0.673894\pi\)
0.386381 0.922339i \(-0.373725\pi\)
\(458\) 31.7964 29.5027i 1.48575 1.37857i
\(459\) 9.09657 5.37620i 0.424591 0.250940i
\(460\) 27.0074 46.7782i 1.25923 2.18104i
\(461\) 18.6421 + 5.75032i 0.868248 + 0.267819i 0.696705 0.717358i \(-0.254649\pi\)
0.171543 + 0.985177i \(0.445125\pi\)
\(462\) 35.7784 4.29977i 1.66456 0.200043i
\(463\) 6.94851 2.14333i 0.322925 0.0996090i −0.129055 0.991637i \(-0.541194\pi\)
0.451979 + 0.892028i \(0.350718\pi\)
\(464\) 0.373674 1.63717i 0.0173474 0.0760039i
\(465\) 25.2595 + 20.0038i 1.17138 + 0.927655i
\(466\) 29.1254 36.5220i 1.34921 1.69185i
\(467\) −9.87389 9.16163i −0.456909 0.423950i 0.417844 0.908519i \(-0.362786\pi\)
−0.874753 + 0.484569i \(0.838976\pi\)
\(468\) 52.4986 + 48.0522i 2.42675 + 2.22121i
\(469\) 15.2371 + 1.65498i 0.703586 + 0.0764201i
\(470\) −78.3910 24.1804i −3.61591 1.11536i
\(471\) 0.0596878 + 17.5768i 0.00275027 + 0.809898i
\(472\) 2.64419 4.57988i 0.121709 0.210806i
\(473\) −23.2921 7.18466i −1.07097 0.330351i
\(474\) −9.43983 + 19.7735i −0.433586 + 0.908227i
\(475\) 0.652426 + 1.66235i 0.0299354 + 0.0762741i
\(476\) 8.09778 + 18.3592i 0.371161 + 0.841491i
\(477\) 17.7124 + 21.9038i 0.810995 + 1.00291i
\(478\) −28.6678 8.84284i −1.31123 0.404462i
\(479\) 12.2559 + 15.3685i 0.559988 + 0.702203i 0.978556 0.205983i \(-0.0660391\pi\)
−0.418567 + 0.908186i \(0.637468\pi\)
\(480\) 6.79756 14.2388i 0.310265 0.649908i
\(481\) 39.8404 49.9583i 1.81657 2.27790i
\(482\) 24.3058 + 16.5714i 1.10710 + 0.754807i
\(483\) −6.91470 + 16.1744i −0.314630 + 0.735959i
\(484\) −0.638909 + 0.435601i −0.0290413 + 0.0198000i
\(485\) 0.0775860 1.03531i 0.00352300 0.0470111i
\(486\) −36.5135 7.68416i −1.65629 0.348560i
\(487\) −17.3082 11.8005i −0.784307 0.534732i 0.103674 0.994611i \(-0.466940\pi\)
−0.887981 + 0.459880i \(0.847893\pi\)
\(488\) −7.25587 + 18.4877i −0.328458 + 0.836897i
\(489\) 0.0108445 + 3.19349i 0.000490407 + 0.144415i
\(490\) −49.7410 39.0189i −2.24707 1.76269i
\(491\) −20.4187 35.3663i −0.921484 1.59606i −0.797121 0.603820i \(-0.793645\pi\)
−0.124363 0.992237i \(-0.539689\pi\)
\(492\) −17.6798 6.86960i −0.797065 0.309706i
\(493\) 1.25556 0.604647i 0.0565477 0.0272319i
\(494\) −2.81322 + 0.867764i −0.126573 + 0.0390425i
\(495\) −2.52698 + 37.0997i −0.113579 + 1.66751i
\(496\) −10.8854 5.24211i −0.488767 0.235378i
\(497\) −21.4651 + 4.15060i −0.962839 + 0.186180i
\(498\) −0.705984 + 1.04308i −0.0316359 + 0.0467416i
\(499\) −14.8062 + 18.5663i −0.662815 + 0.831143i −0.993646 0.112546i \(-0.964099\pi\)
0.330832 + 0.943690i \(0.392671\pi\)
\(500\) −49.2467 + 33.5758i −2.20238 + 1.50156i
\(501\) 1.12509 + 7.29626i 0.0502652 + 0.325973i
\(502\) −31.4984 + 29.2262i −1.40584 + 1.30443i
\(503\) −16.6776 20.9131i −0.743618 0.932467i 0.255795 0.966731i \(-0.417663\pi\)
−0.999413 + 0.0342636i \(0.989091\pi\)
\(504\) 10.5173 31.1311i 0.468476 1.38669i
\(505\) 8.40641 10.5413i 0.374080 0.469082i
\(506\) 2.25573 + 30.1006i 0.100279 + 1.33814i
\(507\) −46.3347 + 10.7413i −2.05780 + 0.477036i
\(508\) −32.1822 + 55.7411i −1.42785 + 2.47311i
\(509\) −16.4036 −0.727079 −0.363539 0.931579i \(-0.618432\pi\)
−0.363539 + 0.931579i \(0.618432\pi\)
\(510\) −30.9880 + 7.18360i −1.37217 + 0.318095i
\(511\) 11.0693 + 40.6584i 0.489675 + 1.79862i
\(512\) −5.83129 + 25.5485i −0.257709 + 1.12910i
\(513\) 0.675844 0.743435i 0.0298393 0.0328235i
\(514\) 63.9091 + 9.63275i 2.81891 + 0.424882i
\(515\) −24.7902 + 31.0860i −1.09239 + 1.36981i
\(516\) −32.4804 + 35.2449i −1.42987 + 1.55157i
\(517\) 28.5155 8.79586i 1.25411 0.386842i
\(518\) −61.5167 16.2193i −2.70289 0.712636i
\(519\) −4.35264 + 14.2829i −0.191060 + 0.626951i
\(520\) −49.6786 86.0459i −2.17855 3.77336i
\(521\) −5.94487 10.2968i −0.260449 0.451112i 0.705912 0.708300i \(-0.250537\pi\)
−0.966361 + 0.257188i \(0.917204\pi\)
\(522\) −4.71219 1.41854i −0.206247 0.0620879i
\(523\) 24.9802 17.0312i 1.09231 0.744722i 0.123451 0.992351i \(-0.460604\pi\)
0.968855 + 0.247629i \(0.0796514\pi\)
\(524\) 12.6089 + 32.1269i 0.550822 + 1.40347i
\(525\) 31.8746 27.8437i 1.39112 1.21520i
\(526\) −3.95451 + 10.0759i −0.172425 + 0.439331i
\(527\) −2.23105 9.77488i −0.0971862 0.425801i
\(528\) −2.12496 13.7805i −0.0924771 0.599720i
\(529\) 7.44701 + 3.58629i 0.323783 + 0.155926i
\(530\) −30.9815 78.9395i −1.34575 3.42891i
\(531\) −3.18092 2.13722i −0.138040 0.0927473i
\(532\) 1.25032 + 1.44118i 0.0542084 + 0.0624829i
\(533\) 15.4318 10.5212i 0.668424 0.455723i
\(534\) −0.457531 + 0.675995i −0.0197993 + 0.0292532i
\(535\) 23.7374 + 22.0251i 1.02626 + 0.952226i
\(536\) 1.79221 23.9154i 0.0774118 1.03299i
\(537\) −4.39865 28.5256i −0.189816 1.23097i
\(538\) −1.75199 + 3.03454i −0.0755337 + 0.130828i
\(539\) 22.9453 + 1.53462i 0.988323 + 0.0661009i
\(540\) 63.6917 + 35.9123i 2.74085 + 1.54542i
\(541\) −25.6730 + 3.86957i −1.10377 + 0.166366i −0.675553 0.737312i \(-0.736095\pi\)
−0.428214 + 0.903678i \(0.640857\pi\)
\(542\) −29.0699 + 13.9993i −1.24866 + 0.601322i
\(543\) 8.30915 + 26.6164i 0.356580 + 1.14222i
\(544\) −4.42349 + 2.13024i −0.189655 + 0.0913332i
\(545\) −1.59494 21.2830i −0.0683196 0.911662i
\(546\) 41.8471 + 55.8308i 1.79089 + 2.38934i
\(547\) −1.68206 + 22.4455i −0.0719196 + 0.959701i 0.838202 + 0.545360i \(0.183607\pi\)
−0.910122 + 0.414341i \(0.864012\pi\)
\(548\) 4.47288 + 11.3967i 0.191072 + 0.486844i
\(549\) 13.0088 + 6.15622i 0.555202 + 0.262741i
\(550\) 26.5334 67.6060i 1.13139 2.88273i
\(551\) 0.0971351 0.0901282i 0.00413810 0.00383959i
\(552\) 25.6559 + 9.96879i 1.09199 + 0.424300i
\(553\) −8.25811 + 11.2837i −0.351171 + 0.479833i
\(554\) 0.242550 + 0.0365586i 0.0103050 + 0.00155322i
\(555\) 28.2830 59.2440i 1.20055 2.51477i
\(556\) 2.24136 + 9.82004i 0.0950549 + 0.416463i
\(557\) 10.1835 + 17.6383i 0.431489 + 0.747360i 0.997002 0.0773791i \(-0.0246552\pi\)
−0.565513 + 0.824739i \(0.691322\pi\)
\(558\) −17.4941 + 30.7816i −0.740585 + 1.30309i
\(559\) −10.5019 46.0119i −0.444183 1.94609i
\(560\) −14.4467 + 19.7397i −0.610484 + 0.834154i
\(561\) 7.84149 8.50889i 0.331068 0.359246i
\(562\) 2.78280 12.1922i 0.117385 0.514299i
\(563\) −12.0824 30.7855i −0.509214 1.29746i −0.922198 0.386717i \(-0.873609\pi\)
0.412985 0.910738i \(-0.364486\pi\)
\(564\) 8.54831 58.0512i 0.359949 2.44440i
\(565\) −38.4730 + 11.8674i −1.61857 + 0.499263i
\(566\) 9.54166 41.8048i 0.401066 1.75718i
\(567\) −21.9891 9.13674i −0.923455 0.383707i
\(568\) 7.61233 + 33.3518i 0.319406 + 1.39941i
\(569\) −6.55672 11.3566i −0.274872 0.476092i 0.695231 0.718787i \(-0.255302\pi\)
−0.970103 + 0.242694i \(0.921969\pi\)
\(570\) −2.61426 + 1.52120i −0.109499 + 0.0637162i
\(571\) −2.72198 0.839618i −0.113911 0.0351369i 0.237276 0.971442i \(-0.423746\pi\)
−0.351187 + 0.936305i \(0.614222\pi\)
\(572\) 70.2178 + 33.8151i 2.93595 + 1.41388i
\(573\) −13.2278 + 5.24342i −0.552597 + 0.219047i
\(574\) −15.7846 9.83007i −0.658836 0.410299i
\(575\) 22.1038 + 27.7172i 0.921791 + 1.15589i
\(576\) 30.6801 + 9.23584i 1.27834 + 0.384827i
\(577\) −10.9673 + 27.9442i −0.456574 + 1.16333i 0.498481 + 0.866901i \(0.333891\pi\)
−0.955055 + 0.296430i \(0.904204\pi\)
\(578\) −27.7442 13.3609i −1.15401 0.555740i
\(579\) 1.97480 + 1.56391i 0.0820697 + 0.0649937i
\(580\) 7.96765 + 5.43225i 0.330839 + 0.225562i
\(581\) −0.566078 + 0.570635i −0.0234849 + 0.0236739i
\(582\) 1.13734 0.0891166i 0.0471442 0.00369400i
\(583\) 25.4873 + 17.3769i 1.05558 + 0.719679i
\(584\) 63.0064 19.4349i 2.60722 0.804222i
\(585\) −64.6554 + 31.6791i −2.67317 + 1.30977i
\(586\) −18.4615 + 2.78262i −0.762637 + 0.114949i
\(587\) 15.5767 26.9796i 0.642918 1.11357i −0.341860 0.939751i \(-0.611057\pi\)
0.984778 0.173816i \(-0.0556099\pi\)
\(588\) 22.1608 39.4157i 0.913895 1.62548i
\(589\) −0.476675 0.825625i −0.0196410 0.0340193i
\(590\) 7.19298 + 9.01972i 0.296130 + 0.371336i
\(591\) 14.6691 21.6734i 0.603406 0.891523i
\(592\) −5.47762 + 23.9990i −0.225129 + 0.986353i
\(593\) −2.36114 + 31.5073i −0.0969605 + 1.29385i 0.710404 + 0.703794i \(0.248512\pi\)
−0.807364 + 0.590054i \(0.799107\pi\)
\(594\) −40.7133 + 3.46846i −1.67049 + 0.142313i
\(595\) −20.2822 + 0.840339i −0.831490 + 0.0344505i
\(596\) −1.96738 + 26.2529i −0.0805871 + 1.07536i
\(597\) 30.7900 12.2050i 1.26015 0.499518i
\(598\) −48.2892 + 32.9230i −1.97469 + 1.34632i
\(599\) 33.8397 5.10051i 1.38265 0.208401i 0.584763 0.811204i \(-0.301188\pi\)
0.797890 + 0.602803i \(0.205950\pi\)
\(600\) −45.2092 48.3933i −1.84566 1.97565i
\(601\) 10.6473 1.60482i 0.434311 0.0654618i 0.0717514 0.997423i \(-0.477141\pi\)
0.362559 + 0.931961i \(0.381903\pi\)
\(602\) −37.6945 + 28.0539i −1.53631 + 1.14339i
\(603\) −17.2020 2.47342i −0.700519 0.100725i
\(604\) 48.3488 32.9637i 1.96729 1.34127i
\(605\) −0.174075 0.762675i −0.00707718 0.0310071i
\(606\) 12.8556 + 7.36407i 0.522222 + 0.299145i
\(607\) −33.4736 −1.35865 −0.679325 0.733838i \(-0.737727\pi\)
−0.679325 + 0.733838i \(0.737727\pi\)
\(608\) −0.342218 + 0.317532i −0.0138788 + 0.0128776i
\(609\) −2.78729 1.44682i −0.112947 0.0586282i
\(610\) −31.7601 29.4691i −1.28593 1.19317i
\(611\) 42.3550 + 39.2997i 1.71350 + 1.58989i
\(612\) −8.45603 21.1227i −0.341815 0.853833i
\(613\) −11.3392 1.70911i −0.457987 0.0690305i −0.0840030 0.996466i \(-0.526771\pi\)
−0.373984 + 0.927435i \(0.622009\pi\)
\(614\) 54.7748 16.8958i 2.21053 0.681858i
\(615\) 13.0037 14.1105i 0.524360 0.568989i
\(616\) 1.20132 35.9637i 0.0484025 1.44902i
\(617\) 4.57152 4.24175i 0.184043 0.170767i −0.582771 0.812636i \(-0.698032\pi\)
0.766814 + 0.641870i \(0.221841\pi\)
\(618\) −37.9107 21.7164i −1.52499 0.873563i
\(619\) −17.0666 −0.685965 −0.342983 0.939342i \(-0.611437\pi\)
−0.342983 + 0.939342i \(0.611437\pi\)
\(620\) 50.8592 47.1905i 2.04256 1.89522i
\(621\) 8.47058 18.0577i 0.339913 0.724629i
\(622\) −5.77461 + 7.24114i −0.231541 + 0.290343i
\(623\) −0.366861 + 0.369814i −0.0146980 + 0.0148163i
\(624\) 21.0501 16.9042i 0.842678 0.676708i
\(625\) −3.14194 13.7657i −0.125677 0.550629i
\(626\) −13.5502 + 2.04236i −0.541574 + 0.0816292i
\(627\) 0.474008 0.992898i 0.0189300 0.0396525i
\(628\) 37.4249 + 5.64090i 1.49342 + 0.225096i
\(629\) −18.4050 + 8.86340i −0.733857 + 0.353407i
\(630\) 54.8360 + 46.1688i 2.18472 + 1.83941i
\(631\) −24.6134 11.8532i −0.979842 0.471867i −0.125792 0.992057i \(-0.540147\pi\)
−0.854051 + 0.520189i \(0.825861\pi\)
\(632\) 18.0777 + 12.3252i 0.719094 + 0.490270i
\(633\) 7.75432 8.41429i 0.308206 0.334438i
\(634\) −3.87099 + 51.6547i −0.153736 + 2.05147i
\(635\) −40.5983 50.9087i −1.61109 2.02025i
\(636\) 52.4260 30.5060i 2.07883 1.20964i
\(637\) 19.6402 + 39.9605i 0.778172 + 1.58329i
\(638\) −5.38894 −0.213350
\(639\) 24.4874 3.86114i 0.968706 0.152744i
\(640\) −64.6412 44.0717i −2.55517 1.74209i
\(641\) 1.47276 6.45259i 0.0581706 0.254862i −0.937479 0.348043i \(-0.886846\pi\)
0.995649 + 0.0931808i \(0.0297035\pi\)
\(642\) −19.9441 + 29.4670i −0.787129 + 1.16297i
\(643\) −2.18199 29.1166i −0.0860493 1.14825i −0.858375 0.513022i \(-0.828526\pi\)
0.772326 0.635226i \(-0.219093\pi\)
\(644\) 32.1516 + 20.0229i 1.26695 + 0.789013i
\(645\) −21.1862 43.6141i −0.834206 1.71730i
\(646\) 0.930668 + 0.140276i 0.0366166 + 0.00551907i
\(647\) −0.551010 7.35271i −0.0216624 0.289065i −0.997505 0.0705915i \(-0.977511\pi\)
0.975843 0.218473i \(-0.0701077\pi\)
\(648\) −13.1400 + 34.8655i −0.516189 + 1.36964i
\(649\) −4.01013 1.23696i −0.157411 0.0485549i
\(650\) 139.049 20.9583i 5.45397 0.822053i
\(651\) −14.6108 + 17.2345i −0.572641 + 0.675473i
\(652\) 6.79964 + 1.02488i 0.266294 + 0.0401374i
\(653\) 3.70778 + 1.78557i 0.145097 + 0.0698749i 0.505023 0.863106i \(-0.331484\pi\)
−0.359926 + 0.932981i \(0.617198\pi\)
\(654\) 22.8461 5.29617i 0.893354 0.207097i
\(655\) −34.9150 −1.36424
\(656\) −3.59755 + 6.23113i −0.140461 + 0.243285i
\(657\) −10.9482 46.5091i −0.427132 1.81449i
\(658\) 18.7817 54.3733i 0.732188 2.11969i
\(659\) 26.2419 + 24.3489i 1.02224 + 0.948498i 0.998687 0.0512246i \(-0.0163124\pi\)
0.0235506 + 0.999723i \(0.492503\pi\)
\(660\) 78.1227 + 17.5521i 3.04092 + 0.683215i
\(661\) −14.6077 37.2198i −0.568173 1.44768i −0.869390 0.494126i \(-0.835488\pi\)
0.301217 0.953556i \(-0.402607\pi\)
\(662\) 8.53959 + 21.7585i 0.331901 + 0.845669i
\(663\) 21.8592 + 4.91118i 0.848940 + 0.190734i
\(664\) 0.921972 + 0.855465i 0.0357795 + 0.0331985i
\(665\) −1.81931 + 0.644801i −0.0705498 + 0.0250043i
\(666\) 69.0751 + 20.7941i 2.67660 + 0.805756i
\(667\) 1.31527 2.27812i 0.0509275 0.0882091i
\(668\) 15.8964 0.615050
\(669\) −20.6789 + 4.79376i −0.799493 + 0.185338i
\(670\) 47.1368 + 22.6999i 1.82106 + 0.876974i
\(671\) 15.5842 + 2.34894i 0.601621 + 0.0906798i
\(672\) 9.81993 + 5.09732i 0.378812 + 0.196634i
\(673\) 16.9435 2.55382i 0.653124 0.0984426i 0.185882 0.982572i \(-0.440486\pi\)
0.467242 + 0.884130i \(0.345248\pi\)
\(674\) −60.2977 18.5994i −2.32258 0.716422i
\(675\) −37.2134 + 30.3020i −1.43235 + 1.16633i
\(676\) 7.65358 + 102.130i 0.294368 + 3.92807i
\(677\) 14.7238 + 2.21926i 0.565882 + 0.0852930i 0.425752 0.904840i \(-0.360010\pi\)
0.140130 + 0.990133i \(0.455248\pi\)
\(678\) −19.3306 39.7942i −0.742389 1.52829i
\(679\) 0.723770 + 0.0786124i 0.0277757 + 0.00301687i
\(680\) 2.37371 + 31.6750i 0.0910276 + 1.21468i
\(681\) 19.7789 29.2230i 0.757928 1.11983i
\(682\) −8.62750 + 37.7995i −0.330364 + 1.44742i
\(683\) 5.07416 + 3.45951i 0.194157 + 0.132374i 0.656497 0.754329i \(-0.272037\pi\)
−0.462339 + 0.886703i \(0.652990\pi\)
\(684\) −1.36033 1.68223i −0.0520133 0.0643216i
\(685\) −12.3857 −0.473235
\(686\) 28.5104 33.9469i 1.08853 1.29610i
\(687\) −27.1281 + 15.7855i −1.03500 + 0.602253i
\(688\) 11.3358 + 14.2147i 0.432174 + 0.541930i
\(689\) −4.46341 + 59.5600i −0.170042 + 2.26906i
\(690\) −40.6913 + 44.1546i −1.54909 + 1.68094i
\(691\) −38.5526 26.2847i −1.46661 0.999919i −0.992863 0.119259i \(-0.961948\pi\)
−0.473749 0.880660i \(-0.657099\pi\)
\(692\) 28.9672 + 13.9499i 1.10117 + 0.530295i
\(693\) −25.9417 2.63952i −0.985443 0.100267i
\(694\) 1.22082 0.587918i 0.0463419 0.0223171i
\(695\) −10.0762 1.51874i −0.382211 0.0576091i
\(696\) −2.11704 + 4.43455i −0.0802464 + 0.168091i
\(697\) −5.90424 + 0.889922i −0.223639 + 0.0337082i
\(698\) 14.0199 + 61.4253i 0.530662 + 2.32498i
\(699\) −26.3557 + 21.1648i −0.996866 + 0.800527i
\(700\) −48.7946 76.9695i −1.84426 2.90917i
\(701\) 7.67644 9.62595i 0.289935 0.363567i −0.615437 0.788186i \(-0.711020\pi\)
0.905372 + 0.424619i \(0.139592\pi\)
\(702\) −45.2307 64.9105i −1.70712 2.44989i
\(703\) −1.42388 + 1.32117i −0.0537028 + 0.0498289i
\(704\) 35.0863 1.32236
\(705\) 51.5088 + 29.5059i 1.93993 + 1.11126i
\(706\) 55.9554 51.9190i 2.10591 1.95400i
\(707\) 7.19094 + 6.13830i 0.270443 + 0.230855i
\(708\) −5.59205 + 6.06800i −0.210162 + 0.228049i
\(709\) −48.3830 + 14.9242i −1.81706 + 0.560489i −0.999874 0.0158827i \(-0.994944\pi\)
−0.817187 + 0.576372i \(0.804468\pi\)
\(710\) −73.7948 11.1228i −2.76947 0.417430i
\(711\) 9.80103 12.4628i 0.367567 0.467392i
\(712\) 0.597507 + 0.554405i 0.0223925 + 0.0207772i
\(713\) −13.8737 12.8729i −0.519572 0.482093i
\(714\) −4.30909 21.8857i −0.161264 0.819052i
\(715\) −57.7970 + 53.6278i −2.16149 + 2.00557i
\(716\) −62.1488 −2.32261
\(717\) 18.8369 + 10.7904i 0.703477 + 0.402974i
\(718\) 2.44392 + 10.7075i 0.0912062 + 0.399601i
\(719\) −6.36346 + 4.33853i −0.237317 + 0.161800i −0.676139 0.736774i \(-0.736348\pi\)
0.438822 + 0.898574i \(0.355396\pi\)
\(720\) 17.1459 21.8023i 0.638988 0.812526i
\(721\) −21.2059 18.1017i −0.789748 0.674141i
\(722\) −44.8828 + 6.76500i −1.67037 + 0.251767i
\(723\) −14.5314 15.5549i −0.540429 0.578492i
\(724\) 59.3691 8.94845i 2.20644 0.332567i
\(725\) −5.22943 + 3.56537i −0.194216 + 0.132414i
\(726\) 0.799111 0.316764i 0.0296578 0.0117562i
\(727\) 3.82060 50.9824i 0.141698 1.89083i −0.246333 0.969185i \(-0.579226\pi\)
0.388031 0.921646i \(-0.373155\pi\)
\(728\) 61.4672 32.8023i 2.27813 1.21573i
\(729\) 24.5598 + 11.2168i 0.909622 + 0.415438i
\(730\) −10.7491 + 143.437i −0.397843 + 5.30884i
\(731\) −3.35738 + 14.7097i −0.124177 + 0.544056i
\(732\) 17.3700 25.6639i 0.642013 0.948564i
\(733\) −2.97314 3.72820i −0.109816 0.137704i 0.723886 0.689920i \(-0.242354\pi\)
−0.833702 + 0.552215i \(0.813783\pi\)
\(734\) −14.0324 24.3048i −0.517945 0.897107i
\(735\) 28.9282 + 35.4374i 1.06703 + 1.30713i
\(736\) −4.63385 + 8.02607i −0.170806 + 0.295845i
\(737\) −18.8186 + 2.83645i −0.693192 + 0.104482i
\(738\) 17.5015 + 11.7590i 0.644240 + 0.432856i
\(739\) −3.63378 + 1.12087i −0.133671 + 0.0412319i −0.360869 0.932617i \(-0.617520\pi\)
0.227198 + 0.973849i \(0.427044\pi\)
\(740\) −116.796 79.6303i −4.29351 2.92727i
\(741\) 2.12379 0.166410i 0.0780193 0.00611324i
\(742\) 56.0490 19.8650i 2.05763 0.729266i
\(743\) 27.5672 + 18.7950i 1.01134 + 0.689521i 0.951170 0.308667i \(-0.0998828\pi\)
0.0601718 + 0.998188i \(0.480835\pi\)
\(744\) 27.7159 + 21.9491i 1.01611 + 0.804693i
\(745\) −23.9958 11.5558i −0.879140 0.423371i
\(746\) −0.729254 + 1.85811i −0.0266999 + 0.0680302i
\(747\) 0.663882 0.624436i 0.0242902 0.0228469i
\(748\) −15.5346 19.4797i −0.568000 0.712250i
\(749\) −15.9917 + 16.1204i −0.584324 + 0.589027i
\(750\) 61.5950 24.4159i 2.24913 0.891544i
\(751\) 21.2116 + 10.2150i 0.774022 + 0.372749i 0.778827 0.627239i \(-0.215815\pi\)
−0.00480485 + 0.999988i \(0.501529\pi\)
\(752\) −21.2696 6.56081i −0.775624 0.239248i
\(753\) 26.8738 15.6375i 0.979336 0.569863i
\(754\) −5.21706 9.03622i −0.189994 0.329080i
\(755\) 13.1730 + 57.7147i 0.479414 + 2.10045i
\(756\) −26.6597 + 43.7968i −0.969606 + 1.59287i
\(757\) 3.20463 14.0404i 0.116474 0.510308i −0.882710 0.469919i \(-0.844283\pi\)
0.999184 0.0403888i \(-0.0128597\pi\)
\(758\) 14.4674 4.46261i 0.525480 0.162089i
\(759\) 3.18201 21.6089i 0.115500 0.784355i
\(760\) 1.10343 + 2.81149i 0.0400255 + 0.101983i
\(761\) 6.24899 27.3786i 0.226526 0.992473i −0.725924 0.687775i \(-0.758587\pi\)
0.952449 0.304698i \(-0.0985555\pi\)
\(762\) 48.4880 52.6148i 1.75653 1.90603i
\(763\) 14.9532 0.619546i 0.541343 0.0224291i
\(764\) 6.81779 + 29.8707i 0.246659 + 1.08068i
\(765\) 23.0171 0.156326i 0.832184 0.00565197i
\(766\) −36.0153 62.3804i −1.30129 2.25390i
\(767\) −1.80808 7.92172i −0.0652860 0.286037i
\(768\) 21.0978 44.1932i 0.761300 1.59469i
\(769\) 32.1339 + 4.84340i 1.15878 + 0.174658i 0.700167 0.713980i \(-0.253109\pi\)
0.458611 + 0.888637i \(0.348347\pi\)
\(770\) 72.0743 + 31.1024i 2.59738 + 1.12085i
\(771\) −43.5921 16.9380i −1.56993 0.610008i
\(772\) 3.97619 3.68937i 0.143106 0.132783i
\(773\) −1.77149 + 4.51369i −0.0637161 + 0.162346i −0.959186 0.282776i \(-0.908745\pi\)
0.895470 + 0.445122i \(0.146840\pi\)
\(774\) 43.8169 30.3118i 1.57497 1.08954i
\(775\) 16.6363 + 42.3887i 0.597595 + 1.52265i
\(776\) 0.0851308 1.13599i 0.00305602 0.0407797i
\(777\) 40.8583 + 21.2087i 1.46578 + 0.760858i
\(778\) 5.82732 + 77.7602i 0.208920 + 2.78784i
\(779\) −0.511523 + 0.246337i −0.0183272 + 0.00882593i
\(780\) 46.1995 + 147.989i 1.65421 + 5.29886i
\(781\) 24.4584 11.7785i 0.875190 0.421469i
\(782\) 18.4756 2.78475i 0.660686 0.0995824i
\(783\) 3.10181 + 1.74895i 0.110850 + 0.0625022i
\(784\) −13.4961 10.5869i −0.482004 0.378103i
\(785\) −19.1444 + 33.1591i −0.683293 + 1.18350i
\(786\) −5.84690 37.9175i −0.208552 1.35247i
\(787\) −0.798814 + 10.6594i −0.0284746 + 0.379968i 0.964702 + 0.263345i \(0.0848258\pi\)
−0.993176 + 0.116622i \(0.962793\pi\)
\(788\) −41.3094 38.3296i −1.47159 1.36543i
\(789\) 4.39014 6.48637i 0.156293 0.230921i
\(790\) −39.4367 + 26.8875i −1.40310 + 0.956615i
\(791\) −7.41641 27.2411i −0.263697 0.968584i
\(792\) −2.77271 + 40.7074i −0.0985241 + 1.44647i
\(793\) 11.1484 + 28.4057i 0.395892 + 1.00872i
\(794\) 26.5194 + 12.7711i 0.941139 + 0.453228i
\(795\) 9.35162 + 60.6458i 0.331668 + 2.15089i
\(796\) −15.8697 69.5295i −0.562485 2.46441i
\(797\) −3.29141 + 8.38639i −0.116588 + 0.297061i −0.977242 0.212130i \(-0.931960\pi\)
0.860654 + 0.509191i \(0.170055\pi\)
\(798\) −1.00492 1.86778i −0.0355736 0.0661189i
\(799\) −6.74840 17.1946i −0.238741 0.608303i
\(800\) 18.4239 12.5612i 0.651382 0.444105i
\(801\) 0.430245 0.404681i 0.0152019 0.0142987i
\(802\) −32.6664 56.5799i −1.15349 1.99791i
\(803\) −26.1615 45.3130i −0.923218 1.59906i
\(804\) −10.9086 + 35.7960i −0.384717 + 1.26243i
\(805\) −30.7393 + 22.8775i −1.08342 + 0.806327i
\(806\) −71.7349 + 22.1273i −2.52675 + 0.779400i
\(807\) 1.71825 1.86449i 0.0604853 0.0656332i
\(808\) 9.22389 11.5664i 0.324495 0.406904i
\(809\) 22.8403 + 3.44262i 0.803021 + 0.121036i 0.537713 0.843128i \(-0.319288\pi\)
0.265308 + 0.964164i \(0.414526\pi\)
\(810\) −60.3291 54.4711i −2.11975 1.91392i
\(811\) −10.1456 + 44.4508i −0.356260 + 1.56088i 0.406164 + 0.913800i \(0.366866\pi\)
−0.762424 + 0.647078i \(0.775991\pi\)
\(812\) −3.99365 + 5.45686i −0.140150 + 0.191498i
\(813\) 22.7440 5.27250i 0.797668 0.184915i
\(814\) 78.9954 2.76879
\(815\) −3.47830 + 6.02459i −0.121840 + 0.211032i
\(816\) −8.40789 + 1.94911i −0.294335 + 0.0682324i
\(817\) 0.107211 + 1.43063i 0.00375083 + 0.0500514i
\(818\) −8.18723 + 10.2665i −0.286260 + 0.358958i
\(819\) −20.6883 46.0546i −0.722908 1.60928i
\(820\) −25.7613 32.3037i −0.899624 1.12809i
\(821\) 29.4590 27.3340i 1.02813 0.953962i 0.0291673 0.999575i \(-0.490714\pi\)
0.998959 + 0.0456125i \(0.0145240\pi\)
\(822\) −2.07413 13.4509i −0.0723437 0.469153i
\(823\) −16.2924 + 11.1079i −0.567916 + 0.387199i −0.812965 0.582312i \(-0.802148\pi\)
0.245049 + 0.969511i \(0.421196\pi\)
\(824\) −27.2010 + 34.1089i −0.947590 + 1.18824i
\(825\) −29.4564 + 43.5214i −1.02554 + 1.51522i
\(826\) −6.48975 + 4.82996i −0.225807 + 0.168056i
\(827\) −22.6615 10.9132i −0.788018 0.379489i −0.00381392 0.999993i \(-0.501214\pi\)
−0.784204 + 0.620503i \(0.786928\pi\)
\(828\) −35.6489 23.9520i −1.23889 0.832389i
\(829\) −6.36289 + 1.96269i −0.220992 + 0.0681671i −0.403274 0.915079i \(-0.632128\pi\)
0.182282 + 0.983246i \(0.441652\pi\)
\(830\) −2.47201 + 1.19046i −0.0858046 + 0.0413213i
\(831\) −0.165442 0.0642839i −0.00573913 0.00222998i
\(832\) 33.9672 + 58.8330i 1.17760 + 2.03967i
\(833\) −0.114123 14.2342i −0.00395413 0.493186i
\(834\) −0.0380231 11.1970i −0.00131663 0.387722i
\(835\) −5.87531 + 14.9700i −0.203323 + 0.518059i
\(836\) −1.95744 1.33456i −0.0676996 0.0461568i
\(837\) 17.2335 18.9570i 0.595676 0.655250i
\(838\) −1.25846 + 16.7930i −0.0434729 + 0.580105i
\(839\) −19.4369 + 13.2519i −0.671038 + 0.457506i −0.850302 0.526295i \(-0.823581\pi\)
0.179264 + 0.983801i \(0.442628\pi\)
\(840\) 53.9085 47.0912i 1.86002 1.62480i
\(841\) −23.5729 16.0717i −0.812858 0.554198i
\(842\) −31.1759 + 39.0934i −1.07439 + 1.34725i
\(843\) −3.89860 + 8.16636i −0.134275 + 0.281264i
\(844\) −15.3619 19.2632i −0.528778 0.663066i
\(845\) −99.0070 30.5396i −3.40594 1.05059i
\(846\) −23.4175 + 60.8795i −0.805112 + 2.09308i
\(847\) 0.538586 0.104144i 0.0185060 0.00357843i
\(848\) −8.40612 21.4185i −0.288667 0.735513i
\(849\) −13.3675 + 28.0008i −0.458772 + 0.960985i
\(850\) −42.9580 13.2508i −1.47345 0.454498i
\(851\) −19.2803 + 33.3945i −0.660921 + 1.14475i
\(852\) −0.181265 53.3787i −0.00621003 1.82873i
\(853\) −37.5942 11.5963i −1.28720 0.397049i −0.425728 0.904851i \(-0.639982\pi\)
−0.861474 + 0.507802i \(0.830458\pi\)
\(854\) 21.3966 21.5688i 0.732176 0.738070i
\(855\) 2.08697 0.659301i 0.0713729 0.0225476i
\(856\) 26.0457 + 24.1669i 0.890224 + 0.826007i
\(857\) −2.93113 + 3.67552i −0.100125 + 0.125553i −0.829370 0.558700i \(-0.811300\pi\)
0.729244 + 0.684253i \(0.239872\pi\)
\(858\) −67.9184 53.7868i −2.31870 1.83625i
\(859\) −5.23815 + 22.9498i −0.178723 + 0.783038i 0.803497 + 0.595308i \(0.202970\pi\)
−0.982221 + 0.187730i \(0.939887\pi\)
\(860\) −99.7677 + 30.7743i −3.40205 + 1.04939i
\(861\) 9.58472 + 9.44382i 0.326646 + 0.321845i
\(862\) −5.08606 1.56884i −0.173232 0.0534349i
\(863\) 7.79662 13.5041i 0.265400 0.459686i −0.702268 0.711912i \(-0.747829\pi\)
0.967668 + 0.252226i \(0.0811627\pi\)
\(864\) −10.9280 6.16173i −0.371780 0.209626i
\(865\) −23.8432 + 22.1233i −0.810694 + 0.752214i
\(866\) 6.45863 + 86.1845i 0.219473 + 2.92867i
\(867\) 17.4682 + 13.8336i 0.593251 + 0.469815i
\(868\) 31.8822 + 36.7488i 1.08215 + 1.24734i
\(869\) 6.34320 16.1622i 0.215178 0.548266i
\(870\) −7.31800 7.83341i −0.248103 0.265577i
\(871\) −22.9746 28.8092i −0.778464 0.976163i
\(872\) −1.75004 23.3526i −0.0592637 0.790819i
\(873\) −0.817101 0.117488i −0.0276547 0.00397638i
\(874\) 1.60066 0.770838i 0.0541432 0.0260740i
\(875\) 41.5139 8.02735i 1.40342 0.271374i
\(876\) −102.569 + 8.03683i −3.46548 + 0.271539i
\(877\) 41.2027 19.8422i 1.39131 0.670022i 0.419935 0.907554i \(-0.362053\pi\)
0.971380 + 0.237532i \(0.0763385\pi\)
\(878\) −13.6792 12.6924i −0.461650 0.428349i
\(879\) 13.4753 + 0.963826i 0.454509 + 0.0325090i
\(880\) 11.0967 28.2741i 0.374071 0.953118i
\(881\) −37.8120 −1.27392 −0.636959 0.770898i \(-0.719808\pi\)
−0.636959 + 0.770898i \(0.719808\pi\)
\(882\) −33.6406 + 37.3503i −1.13274 + 1.25765i
\(883\) −19.6104 −0.659943 −0.329971 0.943991i \(-0.607039\pi\)
−0.329971 + 0.943991i \(0.607039\pi\)
\(884\) 17.6247 44.9070i 0.592782 1.51038i
\(885\) −3.64756 7.50891i −0.122611 0.252409i
\(886\) −50.5319 46.8868i −1.69765 1.57519i
\(887\) 10.7714 5.18721i 0.361667 0.174169i −0.244221 0.969720i \(-0.578532\pi\)
0.605888 + 0.795550i \(0.292818\pi\)
\(888\) 31.0333 65.0052i 1.04141 2.18143i
\(889\) 36.6291 27.2610i 1.22850 0.914305i
\(890\) −1.60204 + 0.771504i −0.0537006 + 0.0258609i
\(891\) 29.2939 + 4.00920i 0.981382 + 0.134313i
\(892\) 3.41575 + 45.5800i 0.114368 + 1.52613i
\(893\) −1.09508 1.37318i −0.0366454 0.0459519i
\(894\) 8.53117 27.9945i 0.285325 0.936278i
\(895\) 22.9702 58.5270i 0.767808 1.95634i
\(896\) 32.4004 44.2713i 1.08242 1.47900i
\(897\) 39.3146 15.5841i 1.31268 0.520338i
\(898\) 3.00858 + 40.1467i 0.100398 + 1.33971i
\(899\) 2.47687 2.29820i 0.0826082 0.0766492i
\(900\) 52.2741 + 89.1378i 1.74247 + 2.97126i
\(901\) 9.54714 16.5361i 0.318061 0.550898i
\(902\) 22.0638 + 6.80579i 0.734645 + 0.226608i
\(903\) 31.0624 13.8271i 1.03369 0.460136i
\(904\) −42.2143 + 13.0214i −1.40403 + 0.433085i
\(905\) −13.5158 + 59.2167i −0.449281 + 1.96843i
\(906\) −60.4720 + 23.9708i −2.00905 + 0.796376i
\(907\) −7.22842 + 9.06415i −0.240016 + 0.300970i −0.887220 0.461346i \(-0.847367\pi\)
0.647204 + 0.762316i \(0.275938\pi\)
\(908\) −55.6991 51.6812i −1.84844 1.71510i
\(909\) −7.90798 7.23821i −0.262291 0.240076i
\(910\) 17.6228 + 150.965i 0.584191 + 5.00445i
\(911\) 6.29688 + 1.94233i 0.208625 + 0.0643523i 0.397306 0.917686i \(-0.369945\pi\)
−0.188681 + 0.982038i \(0.560421\pi\)
\(912\) −0.709321 + 0.412745i −0.0234880 + 0.0136673i
\(913\) 0.499027 0.864341i 0.0165154 0.0286055i
\(914\) 87.1233 + 26.8740i 2.88178 + 0.888912i
\(915\) 17.7484 + 25.8431i 0.586743 + 0.854346i
\(916\) 24.6909 + 62.9114i 0.815811 + 2.07865i
\(917\) 0.817378 24.4697i 0.0269922 0.808062i
\(918\) 4.02424 + 24.9703i 0.132820 + 0.824143i
\(919\) 0.0537451 + 0.0165782i 0.00177289 + 0.000546863i 0.295641 0.955299i \(-0.404467\pi\)
−0.293869 + 0.955846i \(0.594943\pi\)
\(920\) 37.3834 + 46.8773i 1.23249 + 1.54550i
\(921\) −41.3512 + 3.24009i −1.36257 + 0.106765i
\(922\) −29.1152 + 36.5093i −0.958858 + 1.20237i
\(923\) 43.4287 + 29.6092i 1.42947 + 0.974598i
\(924\) −14.1301 + 54.3404i −0.464845 + 1.78767i
\(925\) 76.6572 52.2640i 2.52047 1.71843i
\(926\) −1.30072 + 17.3569i −0.0427443 + 0.570383i
\(927\) 23.3204 + 21.3453i 0.765943 + 0.701071i
\(928\) −1.36707 0.932050i −0.0448762 0.0305961i
\(929\) −9.24886 + 23.5657i −0.303445 + 0.773166i 0.695083 + 0.718929i \(0.255368\pi\)
−0.998528 + 0.0542361i \(0.982728\pi\)
\(930\) −66.6616 + 38.7895i −2.18592 + 1.27196i
\(931\) −0.409310 1.29014i −0.0134146 0.0422825i
\(932\) 36.3922 + 63.0331i 1.19207 + 2.06472i
\(933\) 5.22549 4.19630i 0.171075 0.137381i
\(934\) 29.0485 13.9890i 0.950495 0.457734i
\(935\) 24.0861 7.42959i 0.787701 0.242974i
\(936\) −70.9428 + 34.7598i −2.31884 + 1.13616i
\(937\) 7.31913 + 3.52471i 0.239105 + 0.115147i 0.549600 0.835428i \(-0.314780\pi\)
−0.310494 + 0.950575i \(0.600495\pi\)
\(938\) −17.0124 + 32.5039i −0.555476 + 1.06129i
\(939\) 9.89044 + 0.707420i 0.322762 + 0.0230858i
\(940\) 79.6944 99.9336i 2.59935 3.25948i
\(941\) 15.8674 10.8182i 0.517262 0.352663i −0.276380 0.961048i \(-0.589135\pi\)
0.793642 + 0.608385i \(0.208183\pi\)
\(942\) −39.2166 15.2379i −1.27775 0.496478i
\(943\) −8.26217 + 7.66618i −0.269053 + 0.249645i
\(944\) 1.95165 + 2.44730i 0.0635209 + 0.0796527i
\(945\) −31.3911 41.2934i −1.02115 1.34328i
\(946\) 36.3776 45.6161i 1.18274 1.48311i
\(947\) 2.40563 + 32.1009i 0.0781726 + 1.04314i 0.889016 + 0.457877i \(0.151390\pi\)
−0.810843 + 0.585264i \(0.800991\pi\)
\(948\) −23.3059 24.9473i −0.756941 0.810252i
\(949\) 50.6541 87.7355i 1.64430 2.84802i
\(950\) −4.27458 −0.138686
\(951\) 10.9264 35.8544i 0.354313 1.16266i
\(952\) −22.2546 + 0.922057i −0.721275 + 0.0298840i
\(953\) 8.10481 35.5095i 0.262540 1.15026i −0.655945 0.754809i \(-0.727730\pi\)
0.918485 0.395456i \(-0.129413\pi\)
\(954\) −64.2951 + 20.3117i −2.08163 + 0.657614i
\(955\) −30.6498 4.61972i −0.991805 0.149491i
\(956\) 29.1444 36.5460i 0.942599 1.18198i
\(957\) 3.80461 + 0.854795i 0.122986 + 0.0276316i
\(958\) −44.9615 + 13.8688i −1.45264 + 0.448081i
\(959\) 0.289957 8.68040i 0.00936320 0.280305i
\(960\) 47.6460 + 51.0017i 1.53777 + 1.64607i
\(961\) 3.34517 + 5.79401i 0.107909 + 0.186903i
\(962\) 76.4759 + 132.460i 2.46568 + 4.27069i
\(963\) 18.7546 17.6403i 0.604360 0.568451i
\(964\) −37.8709 + 25.8200i −1.21974 + 0.831605i
\(965\) 2.00477 + 5.10807i 0.0645358 + 0.164434i
\(966\) −29.9926 29.5517i −0.964995 0.950809i
\(967\) −16.0918 + 41.0012i −0.517477 + 1.31851i 0.398460 + 0.917186i \(0.369545\pi\)
−0.915937 + 0.401323i \(0.868550\pi\)
\(968\) −0.191003 0.836841i −0.00613908 0.0268971i
\(969\) −0.634804 0.246658i −0.0203928 0.00792379i
\(970\) 2.23902 + 1.07825i 0.0718905 + 0.0346207i
\(971\) −11.7618 29.9686i −0.377455 0.961739i −0.985778 0.168050i \(-0.946253\pi\)
0.608324 0.793689i \(-0.291842\pi\)
\(972\) 31.9300 48.5849i 1.02415 1.55836i
\(973\) 1.30028 7.02621i 0.0416850 0.225250i
\(974\) 41.4296 28.2462i 1.32749 0.905068i
\(975\) −101.494 7.25941i −3.25040 0.232487i
\(976\) −8.61740 7.99578i −0.275836 0.255939i
\(977\) 2.20268 29.3927i 0.0704699 0.940356i −0.844167 0.536080i \(-0.819904\pi\)
0.914637 0.404276i \(-0.132476\pi\)
\(978\) −7.12517 2.76854i −0.227838 0.0885280i
\(979\) 0.323407 0.560157i 0.0103361 0.0179027i
\(980\) 84.9074 49.9332i 2.71227 1.59506i
\(981\) −16.9695 + 0.115252i −0.541795 + 0.00367973i
\(982\) 96.6586 14.5689i 3.08450 0.464914i
\(983\) 35.6772 17.1812i 1.13793 0.547996i 0.232540 0.972587i \(-0.425296\pi\)
0.905386 + 0.424590i \(0.139582\pi\)
\(984\) 14.2683 15.4826i 0.454855 0.493568i
\(985\) 51.3639 24.7355i 1.63659 0.788139i
\(986\) 0.249278 + 3.32638i 0.00793863 + 0.105934i
\(987\) −21.8847 + 35.4086i −0.696597 + 1.12707i
\(988\) 0.342793 4.57425i 0.0109057 0.145526i
\(989\) 10.4051 + 26.5117i 0.330862 + 0.843024i
\(990\) −80.4550 38.0741i −2.55703 1.21008i
\(991\) −5.58857 + 14.2395i −0.177527 + 0.452331i −0.991745 0.128228i \(-0.959071\pi\)
0.814218 + 0.580560i \(0.197166\pi\)
\(992\) −8.72629 + 8.09681i −0.277060 + 0.257074i
\(993\) −2.57764 16.7161i −0.0817989 0.530471i
\(994\) 9.52283 51.4578i 0.302046 1.63214i
\(995\) 71.3431 + 10.7532i 2.26173 + 0.340901i
\(996\) −1.11101 1.61772i −0.0352037 0.0512594i
\(997\) 7.85947 + 34.4346i 0.248912 + 1.09055i 0.932637 + 0.360815i \(0.117501\pi\)
−0.683725 + 0.729739i \(0.739641\pi\)
\(998\) −28.4213 49.2271i −0.899659 1.55826i
\(999\) −45.4689 25.6374i −1.43857 0.811133i
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 441.2.z.a.142.6 yes 648
9.4 even 3 441.2.y.a.436.6 yes 648
49.39 even 21 441.2.y.a.88.6 648
441.382 even 21 inner 441.2.z.a.382.6 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.6 648 49.39 even 21
441.2.y.a.436.6 yes 648 9.4 even 3
441.2.z.a.142.6 yes 648 1.1 even 1 trivial
441.2.z.a.382.6 yes 648 441.382 even 21 inner