Properties

Label 896.2.bn.b.29.10
Level $896$
Weight $2$
Character 896.29
Analytic conductor $7.155$
Analytic rank $0$
Dimension $784$
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] = [896,2,Mod(29,896)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(896, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 27, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("896.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 896 = 2^{7} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 896.bn (of order \(32\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.15459602111\)
Analytic rank: \(0\)
Dimension: \(784\)
Relative dimension: \(49\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 29.10
Character \(\chi\) \(=\) 896.29
Dual form 896.2.bn.b.309.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.12995 + 0.850426i) q^{2} +(0.332463 - 3.37555i) q^{3} +(0.553552 - 1.92187i) q^{4} +(-2.95960 + 1.58194i) q^{5} +(2.49499 + 4.09692i) q^{6} +(0.195090 + 0.980785i) q^{7} +(1.00892 + 2.64236i) q^{8} +(-8.34145 - 1.65922i) q^{9} +O(q^{10})\) \(q+(-1.12995 + 0.850426i) q^{2} +(0.332463 - 3.37555i) q^{3} +(0.553552 - 1.92187i) q^{4} +(-2.95960 + 1.58194i) q^{5} +(2.49499 + 4.09692i) q^{6} +(0.195090 + 0.980785i) q^{7} +(1.00892 + 2.64236i) q^{8} +(-8.34145 - 1.65922i) q^{9} +(1.99886 - 4.30442i) q^{10} +(-0.659127 + 0.803149i) q^{11} +(-6.30333 - 2.50749i) q^{12} +(2.41691 - 4.52173i) q^{13} +(-1.05453 - 0.942324i) q^{14} +(4.35595 + 10.5162i) q^{15} +(-3.38716 - 2.12771i) q^{16} +(-2.20695 + 5.32804i) q^{17} +(10.8364 - 5.21896i) q^{18} +(1.67545 + 5.52323i) q^{19} +(1.40199 + 6.56364i) q^{20} +(3.37555 - 0.332463i) q^{21} +(0.0617590 - 1.46805i) q^{22} +(2.51859 - 1.68287i) q^{23} +(9.25485 - 2.52719i) q^{24} +(3.47883 - 5.20644i) q^{25} +(1.11441 + 7.16471i) q^{26} +(-5.42016 + 17.8679i) q^{27} +(1.99293 + 0.167977i) q^{28} +(-3.12574 + 2.56523i) q^{29} +(-13.8652 - 8.17831i) q^{30} +(0.626369 - 0.626369i) q^{31} +(5.63676 - 0.476337i) q^{32} +(2.49193 + 2.49193i) q^{33} +(-2.03737 - 7.89724i) q^{34} +(-2.12893 - 2.59411i) q^{35} +(-7.80623 + 15.1127i) q^{36} +(9.00695 + 2.73223i) q^{37} +(-6.59027 - 4.81610i) q^{38} +(-14.4598 - 9.66172i) q^{39} +(-7.16606 - 6.22427i) q^{40} +(-3.58752 - 5.36910i) q^{41} +(-3.53145 + 3.24632i) q^{42} +(0.0475893 + 0.483182i) q^{43} +(1.17869 + 1.71134i) q^{44} +(27.3121 - 8.28504i) q^{45} +(-1.41472 + 4.04343i) q^{46} +(-5.84605 - 2.42151i) q^{47} +(-8.30829 + 10.7262i) q^{48} +(-0.923880 + 0.382683i) q^{49} +(0.496803 + 8.84148i) q^{50} +(17.2513 + 9.22103i) q^{51} +(-7.35228 - 7.14800i) q^{52} +(6.19517 + 5.08424i) q^{53} +(-9.07082 - 24.7992i) q^{54} +(0.680219 - 3.41969i) q^{55} +(-2.39476 + 1.50504i) q^{56} +(19.2010 - 3.81931i) q^{57} +(1.35038 - 5.55678i) q^{58} +(4.11831 + 7.70482i) q^{59} +(22.6220 - 2.55031i) q^{60} +(6.87472 + 0.677101i) q^{61} +(-0.175082 + 1.24044i) q^{62} -8.50487i q^{63} +(-5.96414 + 5.33188i) q^{64} +17.2059i q^{65} +(-4.93495 - 0.696543i) q^{66} +(-0.289081 - 0.0284720i) q^{67} +(9.01813 + 7.19081i) q^{68} +(-4.84328 - 9.06114i) q^{69} +(4.61167 + 1.12070i) q^{70} +(10.4148 - 2.07163i) q^{71} +(-4.03164 - 23.7152i) q^{72} +(-0.326538 + 1.64162i) q^{73} +(-12.5009 + 4.57248i) q^{74} +(-16.4180 - 13.4739i) q^{75} +(11.5424 - 0.162609i) q^{76} +(-0.916306 - 0.489776i) q^{77} +(24.5553 - 1.37976i) q^{78} +(-2.46180 + 1.01971i) q^{79} +(13.3905 + 0.938879i) q^{80} +(34.9395 + 14.4724i) q^{81} +(8.61972 + 3.01587i) q^{82} +(1.15561 - 0.350551i) q^{83} +(1.22959 - 6.67140i) q^{84} +(-1.89695 - 19.2601i) q^{85} +(-0.464684 - 0.505498i) q^{86} +(7.61987 + 11.4039i) q^{87} +(-2.78722 - 0.931335i) q^{88} +(-7.71509 - 5.15506i) q^{89} +(-23.8154 + 32.5886i) q^{90} +(4.90636 + 1.48833i) q^{91} +(-1.84009 - 5.77197i) q^{92} +(-1.90609 - 2.32258i) q^{93} +(8.66503 - 2.23545i) q^{94} +(-13.6961 - 13.6961i) q^{95} +(0.266114 - 19.1855i) q^{96} +(-2.03528 + 2.03528i) q^{97} +(0.718489 - 1.21810i) q^{98} +(6.83068 - 5.60579i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 784 q+O(q^{10}) \) Copy content Toggle raw display \( 784 q - 112 q^{12} + 160 q^{32} - 112 q^{34} + 160 q^{45} + 128 q^{54} - 64 q^{56} - 144 q^{58} - 96 q^{60} - 96 q^{62} - 96 q^{68} - 96 q^{70} - 144 q^{72} - 144 q^{74} + 256 q^{76} - 256 q^{85} - 160 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(645\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{27}{32}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12995 + 0.850426i −0.798992 + 0.601342i
\(3\) 0.332463 3.37555i 0.191947 1.94888i −0.106175 0.994347i \(-0.533860\pi\)
0.298122 0.954528i \(-0.403640\pi\)
\(4\) 0.553552 1.92187i 0.276776 0.960935i
\(5\) −2.95960 + 1.58194i −1.32357 + 0.707464i −0.973376 0.229213i \(-0.926385\pi\)
−0.350195 + 0.936677i \(0.613885\pi\)
\(6\) 2.49499 + 4.09692i 1.01858 + 1.67256i
\(7\) 0.195090 + 0.980785i 0.0737372 + 0.370702i
\(8\) 1.00892 + 2.64236i 0.356709 + 0.934216i
\(9\) −8.34145 1.65922i −2.78048 0.553073i
\(10\) 1.99886 4.30442i 0.632095 1.36118i
\(11\) −0.659127 + 0.803149i −0.198734 + 0.242158i −0.862836 0.505484i \(-0.831314\pi\)
0.664102 + 0.747642i \(0.268814\pi\)
\(12\) −6.30333 2.50749i −1.81961 0.723850i
\(13\) 2.41691 4.52173i 0.670331 1.25410i −0.284990 0.958530i \(-0.591990\pi\)
0.955321 0.295570i \(-0.0955097\pi\)
\(14\) −1.05453 0.942324i −0.281834 0.251847i
\(15\) 4.35595 + 10.5162i 1.12470 + 2.71527i
\(16\) −3.38716 2.12771i −0.846790 0.531927i
\(17\) −2.20695 + 5.32804i −0.535263 + 1.29224i 0.392734 + 0.919652i \(0.371529\pi\)
−0.927997 + 0.372587i \(0.878471\pi\)
\(18\) 10.8364 5.21896i 2.55417 1.23012i
\(19\) 1.67545 + 5.52323i 0.384375 + 1.26712i 0.909362 + 0.416005i \(0.136570\pi\)
−0.524987 + 0.851110i \(0.675930\pi\)
\(20\) 1.40199 + 6.56364i 0.313494 + 1.46767i
\(21\) 3.37555 0.332463i 0.736606 0.0725493i
\(22\) 0.0617590 1.46805i 0.0131671 0.312990i
\(23\) 2.51859 1.68287i 0.525163 0.350903i −0.264557 0.964370i \(-0.585226\pi\)
0.789720 + 0.613467i \(0.210226\pi\)
\(24\) 9.25485 2.52719i 1.88914 0.515860i
\(25\) 3.47883 5.20644i 0.695767 1.04129i
\(26\) 1.11441 + 7.16471i 0.218555 + 1.40511i
\(27\) −5.42016 + 17.8679i −1.04311 + 3.43868i
\(28\) 1.99293 + 0.167977i 0.376629 + 0.0317447i
\(29\) −3.12574 + 2.56523i −0.580435 + 0.476351i −0.878203 0.478287i \(-0.841258\pi\)
0.297768 + 0.954638i \(0.403758\pi\)
\(30\) −13.8652 8.17831i −2.53143 1.49315i
\(31\) 0.626369 0.626369i 0.112499 0.112499i −0.648616 0.761115i \(-0.724652\pi\)
0.761115 + 0.648616i \(0.224652\pi\)
\(32\) 5.63676 0.476337i 0.996448 0.0842053i
\(33\) 2.49193 + 2.49193i 0.433790 + 0.433790i
\(34\) −2.03737 7.89724i −0.349407 1.35436i
\(35\) −2.12893 2.59411i −0.359855 0.438484i
\(36\) −7.80623 + 15.1127i −1.30104 + 2.51879i
\(37\) 9.00695 + 2.73223i 1.48073 + 0.449176i 0.924284 0.381705i \(-0.124663\pi\)
0.556450 + 0.830881i \(0.312163\pi\)
\(38\) −6.59027 4.81610i −1.06908 0.781274i
\(39\) −14.4598 9.66172i −2.31542 1.54711i
\(40\) −7.16606 6.22427i −1.13305 0.984143i
\(41\) −3.58752 5.36910i −0.560276 0.838513i 0.437891 0.899028i \(-0.355726\pi\)
−0.998167 + 0.0605152i \(0.980726\pi\)
\(42\) −3.53145 + 3.24632i −0.544915 + 0.500918i
\(43\) 0.0475893 + 0.483182i 0.00725730 + 0.0736846i 0.998131 0.0611077i \(-0.0194633\pi\)
−0.990874 + 0.134792i \(0.956963\pi\)
\(44\) 1.17869 + 1.71134i 0.177694 + 0.257994i
\(45\) 27.3121 8.28504i 4.07145 1.23506i
\(46\) −1.41472 + 4.04343i −0.208589 + 0.596171i
\(47\) −5.84605 2.42151i −0.852734 0.353214i −0.0868723 0.996219i \(-0.527687\pi\)
−0.765862 + 0.643006i \(0.777687\pi\)
\(48\) −8.30829 + 10.7262i −1.19920 + 1.54819i
\(49\) −0.923880 + 0.382683i −0.131983 + 0.0546691i
\(50\) 0.496803 + 8.84148i 0.0702585 + 1.25037i
\(51\) 17.2513 + 9.22103i 2.41567 + 1.29120i
\(52\) −7.35228 7.14800i −1.01958 0.991249i
\(53\) 6.19517 + 5.08424i 0.850972 + 0.698375i 0.955130 0.296186i \(-0.0957149\pi\)
−0.104158 + 0.994561i \(0.533215\pi\)
\(54\) −9.07082 24.7992i −1.23438 3.37474i
\(55\) 0.680219 3.41969i 0.0917207 0.461111i
\(56\) −2.39476 + 1.50504i −0.320013 + 0.201119i
\(57\) 19.2010 3.81931i 2.54323 0.505880i
\(58\) 1.35038 5.55678i 0.177313 0.729641i
\(59\) 4.11831 + 7.70482i 0.536159 + 1.00308i 0.993504 + 0.113793i \(0.0363002\pi\)
−0.457346 + 0.889289i \(0.651200\pi\)
\(60\) 22.6220 2.55031i 2.92049 0.329244i
\(61\) 6.87472 + 0.677101i 0.880218 + 0.0866939i 0.528020 0.849232i \(-0.322935\pi\)
0.352197 + 0.935926i \(0.385435\pi\)
\(62\) −0.175082 + 1.24044i −0.0222354 + 0.157536i
\(63\) 8.50487i 1.07151i
\(64\) −5.96414 + 5.33188i −0.745518 + 0.666486i
\(65\) 17.2059i 2.13413i
\(66\) −4.93495 0.696543i −0.607451 0.0857385i
\(67\) −0.289081 0.0284720i −0.0353169 0.00347841i 0.0803433 0.996767i \(-0.474398\pi\)
−0.115660 + 0.993289i \(0.536898\pi\)
\(68\) 9.01813 + 7.19081i 1.09361 + 0.872013i
\(69\) −4.84328 9.06114i −0.583062 1.09083i
\(70\) 4.61167 + 1.12070i 0.551200 + 0.133950i
\(71\) 10.4148 2.07163i 1.23601 0.245857i 0.466516 0.884513i \(-0.345509\pi\)
0.769493 + 0.638655i \(0.220509\pi\)
\(72\) −4.03164 23.7152i −0.475134 2.79486i
\(73\) −0.326538 + 1.64162i −0.0382184 + 0.192137i −0.995178 0.0980837i \(-0.968729\pi\)
0.956960 + 0.290221i \(0.0937287\pi\)
\(74\) −12.5009 + 4.57248i −1.45320 + 0.531540i
\(75\) −16.4180 13.4739i −1.89579 1.55583i
\(76\) 11.5424 0.162609i 1.32400 0.0186526i
\(77\) −0.916306 0.489776i −0.104423 0.0558151i
\(78\) 24.5553 1.37976i 2.78034 0.156227i
\(79\) −2.46180 + 1.01971i −0.276975 + 0.114727i −0.516847 0.856078i \(-0.672894\pi\)
0.239872 + 0.970804i \(0.422894\pi\)
\(80\) 13.3905 + 0.938879i 1.49711 + 0.104970i
\(81\) 34.9395 + 14.4724i 3.88217 + 1.60805i
\(82\) 8.61972 + 3.01587i 0.951889 + 0.333047i
\(83\) 1.15561 0.350551i 0.126845 0.0384779i −0.226224 0.974075i \(-0.572638\pi\)
0.353069 + 0.935597i \(0.385138\pi\)
\(84\) 1.22959 6.67140i 0.134159 0.727910i
\(85\) −1.89695 19.2601i −0.205754 2.08905i
\(86\) −0.464684 0.505498i −0.0501082 0.0545093i
\(87\) 7.61987 + 11.4039i 0.816936 + 1.22263i
\(88\) −2.78722 0.931335i −0.297118 0.0992807i
\(89\) −7.71509 5.15506i −0.817798 0.546435i 0.0748472 0.997195i \(-0.476153\pi\)
−0.892645 + 0.450760i \(0.851153\pi\)
\(90\) −23.8154 + 32.5886i −2.51036 + 3.43514i
\(91\) 4.90636 + 1.48833i 0.514326 + 0.156019i
\(92\) −1.84009 5.77197i −0.191842 0.601769i
\(93\) −1.90609 2.32258i −0.197653 0.240841i
\(94\) 8.66503 2.23545i 0.893730 0.230570i
\(95\) −13.6961 13.6961i −1.40519 1.40519i
\(96\) 0.266114 19.1855i 0.0271601 1.95812i
\(97\) −2.03528 + 2.03528i −0.206652 + 0.206652i −0.802843 0.596191i \(-0.796680\pi\)
0.596191 + 0.802843i \(0.296680\pi\)
\(98\) 0.718489 1.21810i 0.0725784 0.123047i
\(99\) 6.83068 5.60579i 0.686509 0.563403i
\(100\) −8.08039 9.56790i −0.808039 0.956790i
\(101\) 0.190690 0.628620i 0.0189743 0.0625500i −0.946942 0.321405i \(-0.895845\pi\)
0.965916 + 0.258855i \(0.0833451\pi\)
\(102\) −27.3349 + 4.25172i −2.70656 + 0.420983i
\(103\) −9.37465 + 14.0302i −0.923712 + 1.38243i 0.000272104 1.00000i \(0.499913\pi\)
−0.923984 + 0.382432i \(0.875087\pi\)
\(104\) 14.3865 + 1.82428i 1.41071 + 0.178885i
\(105\) −9.46433 + 6.32386i −0.923624 + 0.617146i
\(106\) −11.3240 0.476384i −1.09988 0.0462705i
\(107\) 7.66988 0.755417i 0.741475 0.0730289i 0.279776 0.960065i \(-0.409740\pi\)
0.461699 + 0.887036i \(0.347240\pi\)
\(108\) 31.3394 + 20.3076i 3.01563 + 1.95410i
\(109\) −0.0611671 0.201641i −0.00585874 0.0193137i 0.953962 0.299927i \(-0.0969622\pi\)
−0.959821 + 0.280613i \(0.909462\pi\)
\(110\) 2.13959 + 4.44254i 0.204001 + 0.423580i
\(111\) 12.2173 29.4951i 1.15961 2.79955i
\(112\) 1.42602 3.73717i 0.134746 0.353130i
\(113\) 4.67288 + 11.2813i 0.439587 + 1.06126i 0.976092 + 0.217360i \(0.0697445\pi\)
−0.536504 + 0.843898i \(0.680256\pi\)
\(114\) −18.4480 + 20.6446i −1.72781 + 1.93354i
\(115\) −4.79183 + 8.96488i −0.446840 + 0.835979i
\(116\) 3.19978 + 7.42725i 0.297092 + 0.689603i
\(117\) −27.6631 + 33.7076i −2.55745 + 3.11627i
\(118\) −11.2058 5.20371i −1.03158 0.479040i
\(119\) −5.65622 1.12509i −0.518504 0.103137i
\(120\) −23.3928 + 22.1201i −2.13546 + 2.01928i
\(121\) 1.93539 + 9.72988i 0.175945 + 0.884535i
\(122\) −8.34388 + 5.08135i −0.755419 + 0.460044i
\(123\) −19.3164 + 10.3248i −1.74170 + 0.930958i
\(124\) −0.857071 1.55053i −0.0769673 0.139241i
\(125\) −0.415023 + 4.21380i −0.0371208 + 0.376894i
\(126\) 7.23276 + 9.61004i 0.644346 + 0.856130i
\(127\) −14.0363 −1.24552 −0.622759 0.782414i \(-0.713988\pi\)
−0.622759 + 0.782414i \(0.713988\pi\)
\(128\) 2.20478 11.0968i 0.194877 0.980828i
\(129\) 1.64683 0.144995
\(130\) −14.6323 19.4417i −1.28334 1.70515i
\(131\) −1.29793 + 13.1781i −0.113401 + 1.15138i 0.755073 + 0.655641i \(0.227601\pi\)
−0.868474 + 0.495735i \(0.834899\pi\)
\(132\) 6.16858 3.40976i 0.536906 0.296781i
\(133\) −5.09024 + 2.72079i −0.441379 + 0.235922i
\(134\) 0.350859 0.213670i 0.0303096 0.0184583i
\(135\) −12.2244 61.4561i −1.05211 5.28930i
\(136\) −16.3052 0.455960i −1.39816 0.0390983i
\(137\) 0.0526869 + 0.0104801i 0.00450134 + 0.000895372i 0.197340 0.980335i \(-0.436770\pi\)
−0.192839 + 0.981230i \(0.561770\pi\)
\(138\) 13.1785 + 6.11974i 1.12183 + 0.520947i
\(139\) −5.58014 + 6.79942i −0.473301 + 0.576719i −0.953863 0.300242i \(-0.902933\pi\)
0.480562 + 0.876961i \(0.340433\pi\)
\(140\) −6.16401 + 2.65555i −0.520954 + 0.224435i
\(141\) −10.1175 + 18.9286i −0.852050 + 1.59407i
\(142\) −10.0064 + 11.1978i −0.839717 + 0.939702i
\(143\) 2.03856 + 4.92153i 0.170473 + 0.411559i
\(144\) 24.7235 + 23.3682i 2.06029 + 1.94735i
\(145\) 5.19290 12.5368i 0.431247 1.04112i
\(146\) −1.02711 2.13264i −0.0850038 0.176498i
\(147\) 0.984612 + 3.24583i 0.0812094 + 0.267712i
\(148\) 10.2368 15.7978i 0.841460 1.29857i
\(149\) 1.16586 0.114827i 0.0955112 0.00940703i −0.0501486 0.998742i \(-0.515970\pi\)
0.145660 + 0.989335i \(0.453470\pi\)
\(150\) 30.0100 + 1.26248i 2.45031 + 0.103081i
\(151\) −10.7929 + 7.21161i −0.878317 + 0.586873i −0.910914 0.412596i \(-0.864622\pi\)
0.0325973 + 0.999469i \(0.489622\pi\)
\(152\) −12.9040 + 9.99967i −1.04665 + 0.811080i
\(153\) 27.2495 40.7818i 2.20299 3.29701i
\(154\) 1.45189 0.225831i 0.116997 0.0181979i
\(155\) −0.862922 + 2.84467i −0.0693116 + 0.228490i
\(156\) −26.5728 + 22.4415i −2.12753 + 1.79676i
\(157\) 4.36597 3.58306i 0.348442 0.285959i −0.443850 0.896101i \(-0.646388\pi\)
0.792292 + 0.610142i \(0.208888\pi\)
\(158\) 1.91451 3.24580i 0.152310 0.258222i
\(159\) 19.2218 19.2218i 1.52439 1.52439i
\(160\) −15.9290 + 10.3268i −1.25930 + 0.816403i
\(161\) 2.14189 + 2.14189i 0.168804 + 0.168804i
\(162\) −51.7874 + 13.3604i −4.06881 + 1.04969i
\(163\) 5.89751 + 7.18614i 0.461929 + 0.562862i 0.950924 0.309424i \(-0.100136\pi\)
−0.488995 + 0.872287i \(0.662636\pi\)
\(164\) −12.3046 + 3.92267i −0.960827 + 0.306309i
\(165\) −11.3172 3.43303i −0.881043 0.267261i
\(166\) −1.00766 + 1.37886i −0.0782095 + 0.107021i
\(167\) 2.31151 + 1.54450i 0.178870 + 0.119517i 0.641782 0.766887i \(-0.278195\pi\)
−0.462912 + 0.886404i \(0.653195\pi\)
\(168\) 4.28416 + 8.58399i 0.330530 + 0.662269i
\(169\) −7.38212 11.0481i −0.567855 0.849856i
\(170\) 18.5227 + 20.1496i 1.42063 + 1.54541i
\(171\) −4.81147 48.8517i −0.367942 3.73578i
\(172\) 0.954956 + 0.176006i 0.0728147 + 0.0134203i
\(173\) −21.2537 + 6.44724i −1.61589 + 0.490174i −0.963499 0.267710i \(-0.913733\pi\)
−0.652389 + 0.757885i \(0.726233\pi\)
\(174\) −18.3082 6.40569i −1.38794 0.485614i
\(175\) 5.78509 + 2.39626i 0.437312 + 0.181140i
\(176\) 3.94143 1.31796i 0.297097 0.0993453i
\(177\) 27.3772 11.3400i 2.05780 0.852367i
\(178\) 13.1016 0.736180i 0.982008 0.0551790i
\(179\) 12.0612 + 6.44685i 0.901497 + 0.481860i 0.855925 0.517101i \(-0.172989\pi\)
0.0455727 + 0.998961i \(0.485489\pi\)
\(180\) −0.804095 57.0765i −0.0599337 4.25423i
\(181\) −0.775099 0.636108i −0.0576127 0.0472815i 0.605146 0.796114i \(-0.293115\pi\)
−0.662759 + 0.748833i \(0.730615\pi\)
\(182\) −6.80963 + 2.49077i −0.504763 + 0.184628i
\(183\) 4.57118 22.9809i 0.337911 1.69879i
\(184\) 6.98783 + 4.95715i 0.515149 + 0.365446i
\(185\) −30.9792 + 6.16214i −2.27763 + 0.453049i
\(186\) 4.12897 + 1.00340i 0.302751 + 0.0735728i
\(187\) −2.82455 5.28436i −0.206552 0.386431i
\(188\) −7.88992 + 9.89491i −0.575432 + 0.721660i
\(189\) −18.5820 1.83017i −1.35164 0.133125i
\(190\) 27.1233 + 3.82831i 1.96773 + 0.277735i
\(191\) 2.79707i 0.202389i −0.994867 0.101194i \(-0.967734\pi\)
0.994867 0.101194i \(-0.0322664\pi\)
\(192\) 16.0152 + 21.9049i 1.15580 + 1.58085i
\(193\) 23.1081i 1.66336i 0.555255 + 0.831680i \(0.312621\pi\)
−0.555255 + 0.831680i \(0.687379\pi\)
\(194\) 0.568901 4.03062i 0.0408447 0.289381i
\(195\) 58.0793 + 5.72031i 4.15915 + 0.409640i
\(196\) 0.224052 + 1.98741i 0.0160037 + 0.141958i
\(197\) 3.37150 + 6.30764i 0.240210 + 0.449401i 0.972921 0.231139i \(-0.0742453\pi\)
−0.732711 + 0.680540i \(0.761745\pi\)
\(198\) −2.95098 + 12.1432i −0.209717 + 0.862981i
\(199\) 11.1332 2.21452i 0.789209 0.156983i 0.216001 0.976393i \(-0.430699\pi\)
0.573208 + 0.819410i \(0.305699\pi\)
\(200\) 17.2672 + 3.93943i 1.22097 + 0.278560i
\(201\) −0.192217 + 0.966342i −0.0135580 + 0.0681605i
\(202\) 0.319126 + 0.872473i 0.0224536 + 0.0613870i
\(203\) −3.12574 2.56523i −0.219384 0.180044i
\(204\) 27.2711 28.0505i 1.90936 1.96393i
\(205\) 19.1112 + 10.2151i 1.33478 + 0.713457i
\(206\) −1.33877 23.8257i −0.0932764 1.66002i
\(207\) −23.8010 + 9.85870i −1.65428 + 0.685227i
\(208\) −17.8074 + 10.1733i −1.23472 + 0.705393i
\(209\) −5.54031 2.29487i −0.383231 0.158740i
\(210\) 5.31620 15.1943i 0.366852 1.04851i
\(211\) −4.80702 + 1.45819i −0.330929 + 0.100386i −0.451377 0.892334i \(-0.649067\pi\)
0.120448 + 0.992720i \(0.461567\pi\)
\(212\) 13.2006 9.09191i 0.906621 0.624435i
\(213\) −3.53037 35.8444i −0.241897 2.45602i
\(214\) −8.02411 + 7.37624i −0.548517 + 0.504229i
\(215\) −0.905209 1.35474i −0.0617347 0.0923926i
\(216\) −52.6819 + 3.70531i −3.58455 + 0.252115i
\(217\) 0.736532 + 0.492135i 0.0499990 + 0.0334083i
\(218\) 0.240596 + 0.175825i 0.0162952 + 0.0119084i
\(219\) 5.43281 + 1.64802i 0.367115 + 0.111363i
\(220\) −6.19567 3.20027i −0.417712 0.215762i
\(221\) 18.7579 + 22.8566i 1.26180 + 1.53750i
\(222\) 11.2785 + 43.7177i 0.756966 + 2.93414i
\(223\) −10.1941 10.1941i −0.682648 0.682648i 0.277948 0.960596i \(-0.410346\pi\)
−0.960596 + 0.277948i \(0.910346\pi\)
\(224\) 1.56686 + 5.43553i 0.104690 + 0.363176i
\(225\) −37.6572 + 37.6572i −2.51048 + 2.51048i
\(226\) −14.8740 8.77334i −0.989405 0.583594i
\(227\) −16.5891 + 13.6143i −1.10106 + 0.903613i −0.995866 0.0908390i \(-0.971045\pi\)
−0.105190 + 0.994452i \(0.533545\pi\)
\(228\) 3.28851 39.0159i 0.217787 2.58389i
\(229\) 1.46460 4.82814i 0.0967834 0.319052i −0.895158 0.445749i \(-0.852937\pi\)
0.991942 + 0.126697i \(0.0404375\pi\)
\(230\) −2.20946 14.2049i −0.145688 0.936644i
\(231\) −1.95790 + 2.93020i −0.128820 + 0.192793i
\(232\) −9.93190 5.67121i −0.652061 0.372333i
\(233\) −18.2675 + 12.2060i −1.19674 + 0.799639i −0.984122 0.177495i \(-0.943201\pi\)
−0.212623 + 0.977134i \(0.568201\pi\)
\(234\) 2.59198 61.6131i 0.169443 4.02778i
\(235\) 21.1326 2.08138i 1.37854 0.135774i
\(236\) 17.0874 3.64984i 1.11229 0.237584i
\(237\) 2.62363 + 8.64896i 0.170423 + 0.561810i
\(238\) 7.34802 3.53890i 0.476301 0.229393i
\(239\) −1.66950 + 4.03053i −0.107991 + 0.260713i −0.968632 0.248498i \(-0.920063\pi\)
0.860641 + 0.509212i \(0.170063\pi\)
\(240\) 7.62108 44.8883i 0.491939 2.89753i
\(241\) −5.51407 13.3121i −0.355192 0.857510i −0.995962 0.0897770i \(-0.971385\pi\)
0.640770 0.767733i \(-0.278615\pi\)
\(242\) −10.4614 9.34833i −0.672486 0.600933i
\(243\) 34.0629 63.7271i 2.18513 4.08810i
\(244\) 5.10681 12.8375i 0.326930 0.821837i
\(245\) 2.12893 2.59411i 0.136012 0.165731i
\(246\) 13.0460 28.0937i 0.831780 1.79119i
\(247\) 29.0239 + 5.77322i 1.84675 + 0.367341i
\(248\) 2.28705 + 1.02313i 0.145228 + 0.0649690i
\(249\) −0.799104 4.01737i −0.0506412 0.254590i
\(250\) −3.11457 5.11431i −0.196983 0.323458i
\(251\) −19.3725 + 10.3548i −1.22278 + 0.653590i −0.951126 0.308804i \(-0.900071\pi\)
−0.271656 + 0.962395i \(0.587571\pi\)
\(252\) −16.3453 4.70789i −1.02965 0.296569i
\(253\) −0.308478 + 3.13203i −0.0193939 + 0.196909i
\(254\) 15.8602 11.9368i 0.995158 0.748982i
\(255\) −65.6441 −4.11079
\(256\) 6.94572 + 14.4138i 0.434108 + 0.900861i
\(257\) 17.3772 1.08396 0.541979 0.840392i \(-0.317675\pi\)
0.541979 + 0.840392i \(0.317675\pi\)
\(258\) −1.86082 + 1.40050i −0.115850 + 0.0871916i
\(259\) −0.922561 + 9.36692i −0.0573252 + 0.582032i
\(260\) 33.0675 + 9.52434i 2.05076 + 0.590675i
\(261\) 30.3295 16.2115i 1.87735 1.00346i
\(262\) −9.74041 15.9943i −0.601764 0.988132i
\(263\) 0.641090 + 3.22298i 0.0395313 + 0.198737i 0.995504 0.0947178i \(-0.0301949\pi\)
−0.955973 + 0.293455i \(0.905195\pi\)
\(264\) −4.07042 + 9.09876i −0.250517 + 0.559990i
\(265\) −26.3782 5.24694i −1.62040 0.322317i
\(266\) 3.43786 7.40321i 0.210789 0.453920i
\(267\) −19.9661 + 24.3288i −1.22191 + 1.48890i
\(268\) −0.214741 + 0.539815i −0.0131174 + 0.0329745i
\(269\) 5.63789 10.5478i 0.343748 0.643108i −0.649337 0.760501i \(-0.724954\pi\)
0.993086 + 0.117393i \(0.0374536\pi\)
\(270\) 66.0767 + 59.0461i 4.02130 + 3.59343i
\(271\) 7.90213 + 19.0774i 0.480020 + 1.15887i 0.959599 + 0.281372i \(0.0907894\pi\)
−0.479579 + 0.877499i \(0.659211\pi\)
\(272\) 18.8118 13.3512i 1.14063 0.809535i
\(273\) 6.65511 16.0668i 0.402785 0.972410i
\(274\) −0.0684458 + 0.0329644i −0.00413496 + 0.00199145i
\(275\) 1.88855 + 6.22573i 0.113884 + 0.375425i
\(276\) −20.0953 + 4.29234i −1.20960 + 0.258369i
\(277\) 15.4065 1.51741i 0.925685 0.0911720i 0.376071 0.926591i \(-0.377275\pi\)
0.549614 + 0.835419i \(0.314775\pi\)
\(278\) 0.522848 12.4285i 0.0313584 0.745410i
\(279\) −6.26411 + 4.18554i −0.375022 + 0.250582i
\(280\) 4.70664 8.24266i 0.281276 0.492593i
\(281\) 3.00431 4.49627i 0.179222 0.268225i −0.730971 0.682408i \(-0.760933\pi\)
0.910194 + 0.414183i \(0.135933\pi\)
\(282\) −4.66509 29.9925i −0.277802 1.78602i
\(283\) −2.24402 + 7.39755i −0.133393 + 0.439738i −0.998036 0.0626493i \(-0.980045\pi\)
0.864642 + 0.502388i \(0.167545\pi\)
\(284\) 1.78372 21.1626i 0.105844 1.25577i
\(285\) −50.7852 + 41.6783i −3.00825 + 2.46881i
\(286\) −6.48886 3.82741i −0.383695 0.226320i
\(287\) 4.56605 4.56605i 0.269525 0.269525i
\(288\) −47.8092 5.37928i −2.81718 0.316977i
\(289\) −11.4966 11.4966i −0.676269 0.676269i
\(290\) 4.79390 + 18.5820i 0.281508 + 1.09117i
\(291\) 6.19355 + 7.54686i 0.363072 + 0.442405i
\(292\) 2.97422 + 1.53629i 0.174053 + 0.0899043i
\(293\) 7.62289 + 2.31238i 0.445334 + 0.135091i 0.504984 0.863129i \(-0.331498\pi\)
−0.0596501 + 0.998219i \(0.518998\pi\)
\(294\) −3.87290 2.83027i −0.225872 0.165065i
\(295\) −24.3771 16.2883i −1.41929 0.948339i
\(296\) 1.86780 + 26.5562i 0.108564 + 1.54355i
\(297\) −10.7780 16.1304i −0.625402 0.935981i
\(298\) −1.21971 + 1.12123i −0.0706558 + 0.0649510i
\(299\) −1.52226 15.4557i −0.0880345 0.893829i
\(300\) −34.9833 + 24.0948i −2.01976 + 1.39111i
\(301\) −0.464614 + 0.140939i −0.0267799 + 0.00812359i
\(302\) 6.06249 17.3273i 0.348857 0.997075i
\(303\) −2.05854 0.852675i −0.118260 0.0489849i
\(304\) 6.07678 22.2729i 0.348527 1.27744i
\(305\) −21.4175 + 8.87143i −1.22636 + 0.507977i
\(306\) 3.89143 + 69.2549i 0.222458 + 3.95904i
\(307\) −28.3319 15.1437i −1.61698 0.864296i −0.996808 0.0798336i \(-0.974561\pi\)
−0.620176 0.784463i \(-0.712939\pi\)
\(308\) −1.44851 + 1.48990i −0.0825363 + 0.0848951i
\(309\) 44.2428 + 36.3091i 2.51688 + 2.06555i
\(310\) −1.44413 3.94818i −0.0820210 0.224241i
\(311\) 4.51658 22.7064i 0.256112 1.28756i −0.611867 0.790961i \(-0.709581\pi\)
0.867979 0.496601i \(-0.165419\pi\)
\(312\) 10.9409 47.9559i 0.619408 2.71497i
\(313\) −19.1195 + 3.80310i −1.08070 + 0.214964i −0.703161 0.711031i \(-0.748229\pi\)
−0.377536 + 0.925995i \(0.623229\pi\)
\(314\) −1.88618 + 7.76159i −0.106443 + 0.438012i
\(315\) 13.4542 + 25.1710i 0.758057 + 1.41822i
\(316\) 0.597018 + 5.29573i 0.0335849 + 0.297908i
\(317\) 4.80294 + 0.473048i 0.269760 + 0.0265690i 0.231993 0.972718i \(-0.425475\pi\)
0.0377672 + 0.999287i \(0.487975\pi\)
\(318\) −5.37286 + 38.0663i −0.301295 + 2.13465i
\(319\) 4.20125i 0.235225i
\(320\) 9.21675 25.2151i 0.515232 1.40957i
\(321\) 26.1412i 1.45906i
\(322\) −4.24173 0.598699i −0.236383 0.0333642i
\(323\) −33.1256 3.26259i −1.84316 0.181535i
\(324\) 47.1549 59.1379i 2.61972 3.28544i
\(325\) −15.1341 28.3138i −0.839487 1.57057i
\(326\) −12.7751 3.10455i −0.707550 0.171945i
\(327\) −0.700984 + 0.139434i −0.0387645 + 0.00771074i
\(328\) 10.5676 14.8965i 0.583497 0.822524i
\(329\) 1.23448 6.20613i 0.0680589 0.342155i
\(330\) 15.7074 5.74530i 0.864661 0.316268i
\(331\) 2.63760 + 2.16463i 0.144976 + 0.118979i 0.704086 0.710115i \(-0.251357\pi\)
−0.559110 + 0.829094i \(0.688857\pi\)
\(332\) −0.0340223 2.41498i −0.00186722 0.132539i
\(333\) −70.5977 37.7353i −3.86873 2.06788i
\(334\) −3.92537 + 0.220566i −0.214787 + 0.0120689i
\(335\) 0.900604 0.373042i 0.0492052 0.0203815i
\(336\) −12.1409 6.05608i −0.662341 0.330386i
\(337\) −0.325594 0.134865i −0.0177362 0.00734658i 0.373798 0.927510i \(-0.378055\pi\)
−0.391534 + 0.920164i \(0.628055\pi\)
\(338\) 17.7370 + 6.20583i 0.964766 + 0.337552i
\(339\) 39.6342 12.0229i 2.15264 0.652995i
\(340\) −38.0654 7.01576i −2.06439 0.380483i
\(341\) 0.0902106 + 0.915923i 0.00488518 + 0.0496000i
\(342\) 46.9814 + 51.1079i 2.54047 + 2.76360i
\(343\) −0.555570 0.831470i −0.0299980 0.0448951i
\(344\) −1.22873 + 0.613242i −0.0662486 + 0.0330638i
\(345\) 28.6683 + 19.1555i 1.54345 + 1.03130i
\(346\) 18.5326 25.3597i 0.996319 1.36335i
\(347\) −33.6791 10.2164i −1.80799 0.548447i −0.808773 0.588120i \(-0.799868\pi\)
−0.999213 + 0.0396737i \(0.987368\pi\)
\(348\) 26.1349 8.33172i 1.40098 0.446627i
\(349\) 18.5210 + 22.5679i 0.991407 + 1.20803i 0.978103 + 0.208121i \(0.0667348\pi\)
0.0133037 + 0.999912i \(0.495765\pi\)
\(350\) −8.57467 + 2.21214i −0.458336 + 0.118244i
\(351\) 67.6936 + 67.6936i 3.61322 + 3.61322i
\(352\) −3.33277 + 4.84113i −0.177637 + 0.258033i
\(353\) 16.0840 16.0840i 0.856063 0.856063i −0.134809 0.990872i \(-0.543042\pi\)
0.990872 + 0.134809i \(0.0430419\pi\)
\(354\) −21.2909 + 36.0959i −1.13160 + 1.91847i
\(355\) −27.5464 + 22.6067i −1.46201 + 1.19984i
\(356\) −14.1780 + 11.9738i −0.751435 + 0.634610i
\(357\) −5.67828 + 18.7188i −0.300527 + 0.990704i
\(358\) −19.1111 + 2.97258i −1.01005 + 0.157106i
\(359\) −13.1940 + 19.7461i −0.696350 + 1.04216i 0.299757 + 0.954015i \(0.403094\pi\)
−0.996108 + 0.0881462i \(0.971906\pi\)
\(360\) 49.4479 + 63.8095i 2.60613 + 3.36306i
\(361\) −11.9010 + 7.95198i −0.626367 + 0.418525i
\(362\) 1.41678 + 0.0596021i 0.0744644 + 0.00313262i
\(363\) 33.4872 3.29820i 1.75762 0.173110i
\(364\) 5.57629 8.60551i 0.292277 0.451051i
\(365\) −1.63052 5.37509i −0.0853452 0.281345i
\(366\) 14.3783 + 29.8545i 0.751568 + 1.56052i
\(367\) 4.91471 11.8652i 0.256546 0.619356i −0.742160 0.670223i \(-0.766198\pi\)
0.998705 + 0.0508667i \(0.0161984\pi\)
\(368\) −12.1115 + 0.341323i −0.631358 + 0.0177927i
\(369\) 21.0166 + 50.7386i 1.09408 + 2.64135i
\(370\) 29.7643 33.3084i 1.54737 1.73162i
\(371\) −3.77793 + 7.06802i −0.196141 + 0.366953i
\(372\) −5.51882 + 2.37759i −0.286138 + 0.123273i
\(373\) −12.7765 + 15.5682i −0.661543 + 0.806092i −0.990392 0.138290i \(-0.955839\pi\)
0.328849 + 0.944383i \(0.393339\pi\)
\(374\) 7.68554 + 3.56897i 0.397410 + 0.184547i
\(375\) 14.0859 + 2.80187i 0.727394 + 0.144688i
\(376\) 0.500290 17.8905i 0.0258005 0.922632i
\(377\) 4.04462 + 20.3337i 0.208308 + 1.04724i
\(378\) 22.5530 13.7346i 1.16000 0.706432i
\(379\) 25.4097 13.5818i 1.30521 0.697648i 0.335528 0.942030i \(-0.391085\pi\)
0.969679 + 0.244382i \(0.0785852\pi\)
\(380\) −33.9035 + 18.7406i −1.73921 + 0.961371i
\(381\) −4.66654 + 47.3801i −0.239074 + 2.42736i
\(382\) 2.37870 + 3.16054i 0.121705 + 0.161707i
\(383\) 9.21189 0.470706 0.235353 0.971910i \(-0.424375\pi\)
0.235353 + 0.971910i \(0.424375\pi\)
\(384\) −36.7248 11.1316i −1.87410 0.568058i
\(385\) 3.48669 0.177698
\(386\) −19.6518 26.1109i −1.00025 1.32901i
\(387\) 0.404741 4.10940i 0.0205741 0.208893i
\(388\) 2.78491 + 5.03818i 0.141383 + 0.255775i
\(389\) 28.3308 15.1431i 1.43643 0.767786i 0.444643 0.895708i \(-0.353331\pi\)
0.991784 + 0.127922i \(0.0408306\pi\)
\(390\) −70.4912 + 42.9285i −3.56946 + 2.17377i
\(391\) 3.40800 + 17.1332i 0.172350 + 0.866462i
\(392\) −1.94331 2.05512i −0.0981521 0.103799i
\(393\) 44.0518 + 8.76245i 2.22212 + 0.442007i
\(394\) −9.17380 4.26007i −0.462169 0.214619i
\(395\) 5.67282 6.91236i 0.285431 0.347798i
\(396\) −6.99247 16.2308i −0.351385 0.815626i
\(397\) 0.686436 1.28423i 0.0344512 0.0644537i −0.864107 0.503309i \(-0.832116\pi\)
0.898558 + 0.438855i \(0.144616\pi\)
\(398\) −10.6966 + 11.9702i −0.536171 + 0.600013i
\(399\) 7.49184 + 18.0869i 0.375061 + 0.905478i
\(400\) −22.8612 + 10.2331i −1.14306 + 0.511656i
\(401\) 9.33867 22.5455i 0.466351 1.12587i −0.499394 0.866375i \(-0.666444\pi\)
0.965744 0.259495i \(-0.0835562\pi\)
\(402\) −0.604607 1.25538i −0.0301551 0.0626126i
\(403\) −1.31839 4.34614i −0.0656736 0.216497i
\(404\) −1.10257 0.714454i −0.0548548 0.0355454i
\(405\) −126.301 + 12.4396i −6.27596 + 0.618128i
\(406\) 5.71345 + 0.240357i 0.283554 + 0.0119287i
\(407\) −8.13111 + 5.43304i −0.403044 + 0.269306i
\(408\) −6.96000 + 54.8876i −0.344571 + 2.71734i
\(409\) −5.66598 + 8.47974i −0.280165 + 0.419296i −0.944687 0.327972i \(-0.893635\pi\)
0.664523 + 0.747268i \(0.268635\pi\)
\(410\) −30.2818 + 4.71010i −1.49551 + 0.232615i
\(411\) 0.0528924 0.174363i 0.00260899 0.00860069i
\(412\) 21.7748 + 25.7833i 1.07277 + 1.27025i
\(413\) −6.75333 + 5.54232i −0.332310 + 0.272720i
\(414\) 18.5097 31.3808i 0.909704 1.54228i
\(415\) −2.86559 + 2.86559i −0.140666 + 0.140666i
\(416\) 11.4697 26.6392i 0.562348 1.30609i
\(417\) 21.0966 + 21.0966i 1.03310 + 1.03310i
\(418\) 8.21186 2.11854i 0.401655 0.103621i
\(419\) 3.40038 + 4.14337i 0.166119 + 0.202417i 0.849416 0.527724i \(-0.176954\pi\)
−0.683297 + 0.730141i \(0.739454\pi\)
\(420\) 6.91464 + 21.6898i 0.337400 + 1.05835i
\(421\) 20.5289 + 6.22737i 1.00052 + 0.303503i 0.747719 0.664016i \(-0.231149\pi\)
0.252798 + 0.967519i \(0.418649\pi\)
\(422\) 4.19158 5.73569i 0.204043 0.279209i
\(423\) 44.7467 + 29.8988i 2.17566 + 1.45373i
\(424\) −7.18395 + 21.4995i −0.348884 + 1.04411i
\(425\) 20.0625 + 30.0257i 0.973176 + 1.45646i
\(426\) 34.4721 + 37.4999i 1.67018 + 1.81688i
\(427\) 0.677101 + 6.87472i 0.0327672 + 0.332691i
\(428\) 2.79386 15.1587i 0.135046 0.732722i
\(429\) 17.2906 5.24505i 0.834799 0.253234i
\(430\) 2.17494 + 0.760970i 0.104885 + 0.0366972i
\(431\) 24.1032 + 9.98388i 1.16101 + 0.480907i 0.878211 0.478272i \(-0.158737\pi\)
0.282800 + 0.959179i \(0.408737\pi\)
\(432\) 56.3766 48.9889i 2.71242 2.35698i
\(433\) −22.8512 + 9.46529i −1.09816 + 0.454873i −0.856845 0.515574i \(-0.827579\pi\)
−0.241315 + 0.970447i \(0.577579\pi\)
\(434\) −1.25076 + 0.0702804i −0.0600386 + 0.00337357i
\(435\) −40.5920 21.6969i −1.94624 1.04029i
\(436\) −0.421386 + 0.00593650i −0.0201807 + 0.000284307i
\(437\) 13.5147 + 11.0912i 0.646494 + 0.530564i
\(438\) −7.54030 + 2.75802i −0.360289 + 0.131783i
\(439\) 6.46177 32.4855i 0.308403 1.55045i −0.446604 0.894732i \(-0.647367\pi\)
0.755007 0.655717i \(-0.227633\pi\)
\(440\) 9.72235 1.65283i 0.463495 0.0787954i
\(441\) 8.34145 1.65922i 0.397212 0.0790104i
\(442\) −40.6333 9.87448i −1.93273 0.469681i
\(443\) 9.89662 + 18.5153i 0.470203 + 0.879687i 0.999511 + 0.0312581i \(0.00995138\pi\)
−0.529309 + 0.848429i \(0.677549\pi\)
\(444\) −49.9228 39.8070i −2.36923 1.88916i
\(445\) 30.9885 + 3.05210i 1.46900 + 0.144684i
\(446\) 20.1881 + 2.84945i 0.955935 + 0.134925i
\(447\) 3.97360i 0.187945i
\(448\) −6.39298 4.80935i −0.302040 0.227220i
\(449\) 15.6088i 0.736624i −0.929702 0.368312i \(-0.879936\pi\)
0.929702 0.368312i \(-0.120064\pi\)
\(450\) 10.5259 74.5751i 0.496196 3.51551i
\(451\) 6.67682 + 0.657609i 0.314399 + 0.0309656i
\(452\) 24.2679 2.73586i 1.14147 0.128684i
\(453\) 20.7549 + 38.8297i 0.975151 + 1.82438i
\(454\) 7.16679 29.4912i 0.336354 1.38409i
\(455\) −16.8753 + 3.35670i −0.791125 + 0.157365i
\(456\) 29.4643 + 46.8825i 1.37979 + 2.19547i
\(457\) 7.88992 39.6653i 0.369075 1.85546i −0.133665 0.991027i \(-0.542675\pi\)
0.502740 0.864438i \(-0.332325\pi\)
\(458\) 2.45106 + 6.70106i 0.114530 + 0.313120i
\(459\) −83.2388 68.3123i −3.88525 3.18855i
\(460\) 14.5768 + 14.1718i 0.679647 + 0.660763i
\(461\) 3.11575 + 1.66540i 0.145115 + 0.0775656i 0.542356 0.840149i \(-0.317532\pi\)
−0.397241 + 0.917714i \(0.630032\pi\)
\(462\) −0.279602 4.97602i −0.0130083 0.231505i
\(463\) 7.65452 3.17061i 0.355736 0.147351i −0.197657 0.980271i \(-0.563333\pi\)
0.553392 + 0.832921i \(0.313333\pi\)
\(464\) 16.0454 2.03818i 0.744891 0.0946202i
\(465\) 9.31545 + 3.85859i 0.431994 + 0.178938i
\(466\) 10.2610 29.3272i 0.475333 1.35856i
\(467\) −29.0034 + 8.79809i −1.34212 + 0.407127i −0.878006 0.478650i \(-0.841126\pi\)
−0.464112 + 0.885777i \(0.653626\pi\)
\(468\) 49.4686 + 71.8237i 2.28669 + 3.32005i
\(469\) −0.0284720 0.289081i −0.00131471 0.0133485i
\(470\) −22.1086 + 20.3236i −1.01980 + 0.937457i
\(471\) −10.6433 15.9288i −0.490416 0.733960i
\(472\) −16.2039 + 18.6557i −0.745843 + 0.858696i
\(473\) −0.419434 0.280257i −0.0192856 0.0128862i
\(474\) −10.3199 7.54164i −0.474007 0.346399i
\(475\) 34.5850 + 10.4912i 1.58687 + 0.481371i
\(476\) −5.29329 + 10.2477i −0.242617 + 0.469703i
\(477\) −43.2409 52.6891i −1.97986 2.41247i
\(478\) −1.54122 5.97406i −0.0704939 0.273247i
\(479\) −20.7665 20.7665i −0.948844 0.948844i 0.0499100 0.998754i \(-0.484107\pi\)
−0.998754 + 0.0499100i \(0.984107\pi\)
\(480\) 29.5627 + 57.2024i 1.34935 + 2.61092i
\(481\) 34.1234 34.1234i 1.55589 1.55589i
\(482\) 17.5516 + 10.3527i 0.799453 + 0.471552i
\(483\) 7.94215 6.51796i 0.361380 0.296577i
\(484\) 19.7709 + 1.66642i 0.898677 + 0.0757463i
\(485\) 2.80393 9.24331i 0.127320 0.419717i
\(486\) 15.7060 + 100.976i 0.712441 + 4.58037i
\(487\) −22.7543 + 34.0542i −1.03109 + 1.54314i −0.205676 + 0.978620i \(0.565939\pi\)
−0.825418 + 0.564522i \(0.809061\pi\)
\(488\) 5.14693 + 18.8486i 0.232990 + 0.853238i
\(489\) 26.2179 17.5182i 1.18561 0.792202i
\(490\) −0.199477 + 4.74170i −0.00901144 + 0.214208i
\(491\) −10.8348 + 1.06714i −0.488968 + 0.0481592i −0.339497 0.940607i \(-0.610257\pi\)
−0.149471 + 0.988766i \(0.547757\pi\)
\(492\) 9.15035 + 42.8389i 0.412529 + 1.93133i
\(493\) −6.76930 22.3154i −0.304874 1.00503i
\(494\) −37.7052 + 18.1593i −1.69644 + 0.817025i
\(495\) −11.3480 + 27.3966i −0.510056 + 1.23138i
\(496\) −3.45434 + 0.788882i −0.155104 + 0.0354219i
\(497\) 4.06365 + 9.81052i 0.182280 + 0.440062i
\(498\) 4.31942 + 3.85983i 0.193558 + 0.172963i
\(499\) −3.03904 + 5.68564i −0.136046 + 0.254524i −0.940714 0.339201i \(-0.889843\pi\)
0.804668 + 0.593725i \(0.202343\pi\)
\(500\) 7.86864 + 3.13018i 0.351896 + 0.139986i
\(501\) 5.98205 7.28914i 0.267258 0.325655i
\(502\) 13.0839 28.1752i 0.583961 1.25752i
\(503\) −8.11183 1.61354i −0.361688 0.0719443i 0.0109010 0.999941i \(-0.496530\pi\)
−0.372589 + 0.927996i \(0.621530\pi\)
\(504\) 22.4729 8.58077i 1.00102 0.382218i
\(505\) 0.430072 + 2.16212i 0.0191380 + 0.0962130i
\(506\) −2.31500 3.80136i −0.102914 0.168991i
\(507\) −39.7478 + 21.2456i −1.76526 + 0.943551i
\(508\) −7.76980 + 26.9759i −0.344729 + 1.19686i
\(509\) 3.95323 40.1378i 0.175224 1.77908i −0.358610 0.933487i \(-0.616749\pi\)
0.533834 0.845589i \(-0.320751\pi\)
\(510\) 74.1742 55.8254i 3.28449 2.47199i
\(511\) −1.67378 −0.0740437
\(512\) −20.1061 10.3800i −0.888574 0.458733i
\(513\) −107.770 −4.75815
\(514\) −19.6353 + 14.7780i −0.866074 + 0.651830i
\(515\) 5.55035 56.3537i 0.244578 2.48324i
\(516\) 0.911604 3.16499i 0.0401311 0.139331i
\(517\) 5.79812 3.09916i 0.255001 0.136301i
\(518\) −6.92343 11.3687i −0.304198 0.499511i
\(519\) 14.6969 + 73.8864i 0.645123 + 3.24325i
\(520\) −45.4642 + 17.3594i −1.99374 + 0.761262i
\(521\) 4.71687 + 0.938244i 0.206650 + 0.0411052i 0.297330 0.954775i \(-0.403904\pi\)
−0.0906798 + 0.995880i \(0.528904\pi\)
\(522\) −20.4840 + 44.1110i −0.896561 + 1.93069i
\(523\) −18.5849 + 22.6457i −0.812660 + 0.990229i 0.187309 + 0.982301i \(0.440024\pi\)
−0.999969 + 0.00792787i \(0.997476\pi\)
\(524\) 24.6081 + 9.78921i 1.07501 + 0.427643i
\(525\) 10.0120 18.7312i 0.436961 0.817496i
\(526\) −3.46530 3.09659i −0.151094 0.135018i
\(527\) 1.95495 + 4.71968i 0.0851592 + 0.205592i
\(528\) −3.13848 13.7427i −0.136585 0.598074i
\(529\) −5.29045 + 12.7723i −0.230020 + 0.555317i
\(530\) 34.2680 16.5039i 1.48851 0.716884i
\(531\) −21.5687 71.1026i −0.936004 3.08559i
\(532\) 2.41129 + 11.2889i 0.104543 + 0.489434i
\(533\) −32.9483 + 3.24513i −1.42715 + 0.140562i
\(534\) 1.87079 44.4700i 0.0809570 1.92440i
\(535\) −21.5047 + 14.3690i −0.929730 + 0.621226i
\(536\) −0.216428 0.792582i −0.00934825 0.0342343i
\(537\) 25.7716 38.5699i 1.11213 1.66441i
\(538\) 2.59958 + 16.7130i 0.112076 + 0.720548i
\(539\) 0.301602 0.994250i 0.0129909 0.0428254i
\(540\) −124.877 10.5255i −5.37387 0.452944i
\(541\) 27.0723 22.2177i 1.16393 0.955214i 0.164417 0.986391i \(-0.447426\pi\)
0.999514 + 0.0311772i \(0.00992562\pi\)
\(542\) −25.1529 14.8363i −1.08041 0.637272i
\(543\) −2.40490 + 2.40490i −0.103204 + 0.103204i
\(544\) −9.90209 + 31.0841i −0.424549 + 1.33272i
\(545\) 0.500013 + 0.500013i 0.0214182 + 0.0214182i
\(546\) 6.14376 + 23.8143i 0.262929 + 1.01916i
\(547\) −6.51288 7.93596i −0.278470 0.339317i 0.614927 0.788584i \(-0.289185\pi\)
−0.893398 + 0.449267i \(0.851685\pi\)
\(548\) 0.0493062 0.0954560i 0.00210626 0.00407768i
\(549\) −56.2217 17.0547i −2.39948 0.727875i
\(550\) −7.42848 5.42865i −0.316751 0.231479i
\(551\) −19.4054 12.9663i −0.826697 0.552381i
\(552\) 19.0563 21.9397i 0.811090 0.933815i
\(553\) −1.48039 2.21556i −0.0629527 0.0942154i
\(554\) −16.1180 + 14.8166i −0.684789 + 0.629499i
\(555\) 10.5012 + 106.620i 0.445751 + 4.52578i
\(556\) 9.97869 + 14.4881i 0.423191 + 0.614433i
\(557\) 38.8885 11.7967i 1.64776 0.499842i 0.676214 0.736705i \(-0.263619\pi\)
0.971543 + 0.236864i \(0.0761194\pi\)
\(558\) 3.51860 10.0566i 0.148954 0.425730i
\(559\) 2.29984 + 0.952623i 0.0972727 + 0.0402917i
\(560\) 1.69152 + 13.3164i 0.0714799 + 0.562721i
\(561\) −18.7767 + 7.77756i −0.792752 + 0.328369i
\(562\) 0.429037 + 7.63548i 0.0180978 + 0.322083i
\(563\) 7.59101 + 4.05748i 0.319923 + 0.171002i 0.623539 0.781792i \(-0.285694\pi\)
−0.303616 + 0.952794i \(0.598194\pi\)
\(564\) 30.7777 + 29.9225i 1.29597 + 1.25997i
\(565\) −31.6762 25.9960i −1.33263 1.09366i
\(566\) −3.75544 10.2672i −0.157853 0.431562i
\(567\) −7.37798 + 37.0916i −0.309846 + 1.55770i
\(568\) 15.9817 + 25.4295i 0.670579 + 1.06700i
\(569\) 20.5566 4.08896i 0.861778 0.171418i 0.255634 0.966774i \(-0.417716\pi\)
0.606144 + 0.795355i \(0.292716\pi\)
\(570\) 21.9401 90.2833i 0.918971 3.78155i
\(571\) −9.69781 18.1433i −0.405841 0.759274i 0.593108 0.805123i \(-0.297901\pi\)
−0.998948 + 0.0458487i \(0.985401\pi\)
\(572\) 10.5870 1.19353i 0.442664 0.0499041i
\(573\) −9.44165 0.929921i −0.394431 0.0388480i
\(574\) −1.27630 + 9.04247i −0.0532716 + 0.377425i
\(575\) 18.9673i 0.790993i
\(576\) 58.5964 34.5799i 2.44152 1.44083i
\(577\) 38.6335i 1.60833i −0.594403 0.804167i \(-0.702612\pi\)
0.594403 0.804167i \(-0.297388\pi\)
\(578\) 22.7675 + 3.21351i 0.947002 + 0.133665i
\(579\) 78.0027 + 7.68260i 3.24168 + 0.319278i
\(580\) −21.2195 16.9198i −0.881091 0.702557i
\(581\) 0.569263 + 1.06502i 0.0236170 + 0.0441843i
\(582\) −13.4164 3.26038i −0.556128 0.135147i
\(583\) −8.16681 + 1.62448i −0.338235 + 0.0672790i
\(584\) −4.66720 + 0.793437i −0.193130 + 0.0328327i
\(585\) 28.5483 143.522i 1.18033 5.93391i
\(586\) −10.5799 + 3.86984i −0.437054 + 0.159862i
\(587\) −9.49499 7.79234i −0.391900 0.321624i 0.417723 0.908575i \(-0.362828\pi\)
−0.809623 + 0.586950i \(0.800328\pi\)
\(588\) 6.78309 0.0955604i 0.279730 0.00394085i
\(589\) 4.50903 + 2.41013i 0.185791 + 0.0993075i
\(590\) 41.3967 2.32608i 1.70428 0.0957632i
\(591\) 22.4127 9.28363i 0.921934 0.381877i
\(592\) −24.6946 28.4187i −1.01494 1.16800i
\(593\) 34.7466 + 14.3925i 1.42687 + 0.591030i 0.956577 0.291480i \(-0.0941477\pi\)
0.470295 + 0.882509i \(0.344148\pi\)
\(594\) 25.8962 + 9.06059i 1.06254 + 0.371760i
\(595\) 18.5199 5.61796i 0.759243 0.230314i
\(596\) 0.424682 2.30420i 0.0173956 0.0943837i
\(597\) −3.77387 38.3168i −0.154454 1.56820i
\(598\) 14.8640 + 16.1696i 0.607836 + 0.661223i
\(599\) −15.6072 23.3579i −0.637694 0.954376i −0.999753 0.0222212i \(-0.992926\pi\)
0.362059 0.932155i \(-0.382074\pi\)
\(600\) 19.0384 56.9765i 0.777241 2.32606i
\(601\) 27.2170 + 18.1858i 1.11020 + 0.741815i 0.968728 0.248126i \(-0.0798148\pi\)
0.141477 + 0.989942i \(0.454815\pi\)
\(602\) 0.405130 0.554373i 0.0165119 0.0225946i
\(603\) 2.36411 + 0.717146i 0.0962742 + 0.0292045i
\(604\) 7.88532 + 24.7346i 0.320849 + 1.00644i
\(605\) −21.1201 25.7349i −0.858652 1.04627i
\(606\) 3.05117 0.787160i 0.123945 0.0319762i
\(607\) −18.8408 18.8408i −0.764724 0.764724i 0.212448 0.977172i \(-0.431856\pi\)
−0.977172 + 0.212448i \(0.931856\pi\)
\(608\) 12.0751 + 30.3350i 0.489708 + 1.23025i
\(609\) −9.69825 + 9.69825i −0.392993 + 0.392993i
\(610\) 16.6561 28.2382i 0.674387 1.14333i
\(611\) −25.0788 + 20.5816i −1.01458 + 0.832644i
\(612\) −63.2932 74.9448i −2.55848 3.02947i
\(613\) −2.28658 + 7.53783i −0.0923539 + 0.304450i −0.990932 0.134363i \(-0.957101\pi\)
0.898578 + 0.438813i \(0.144601\pi\)
\(614\) 44.8920 6.98260i 1.81169 0.281795i
\(615\) 40.8355 61.1146i 1.64665 2.46438i
\(616\) 0.369681 2.91536i 0.0148949 0.117463i
\(617\) −26.6609 + 17.8143i −1.07333 + 0.717176i −0.961015 0.276497i \(-0.910826\pi\)
−0.112314 + 0.993673i \(0.535826\pi\)
\(618\) −80.8701 3.40209i −3.25307 0.136852i
\(619\) −15.7933 + 1.55550i −0.634785 + 0.0625208i −0.410291 0.911955i \(-0.634573\pi\)
−0.224494 + 0.974476i \(0.572073\pi\)
\(620\) 4.98942 + 3.23310i 0.200380 + 0.129844i
\(621\) 16.4182 + 54.1234i 0.658838 + 2.17190i
\(622\) 14.2066 + 29.4980i 0.569633 + 1.18276i
\(623\) 3.55087 8.57255i 0.142262 0.343452i
\(624\) 28.4203 + 63.4920i 1.13772 + 2.54171i
\(625\) 6.54364 + 15.7977i 0.261746 + 0.631910i
\(626\) 18.3697 20.5570i 0.734201 0.821623i
\(627\) −9.58840 + 17.9386i −0.382924 + 0.716400i
\(628\) −4.46938 10.3742i −0.178348 0.413977i
\(629\) −34.4353 + 41.9595i −1.37302 + 1.67304i
\(630\) −36.6085 17.0001i −1.45852 0.677299i
\(631\) 18.5046 + 3.68080i 0.736658 + 0.146530i 0.549139 0.835731i \(-0.314956\pi\)
0.187518 + 0.982261i \(0.439956\pi\)
\(632\) −5.17822 5.47616i −0.205979 0.217830i
\(633\) 3.32405 + 16.7111i 0.132119 + 0.664208i
\(634\) −5.82935 + 3.55002i −0.231513 + 0.140989i
\(635\) 41.5417 22.2045i 1.64853 0.881158i
\(636\) −26.3015 47.5820i −1.04292 1.88675i
\(637\) −0.502547 + 5.10244i −0.0199116 + 0.202166i
\(638\) 3.57285 + 4.74718i 0.141450 + 0.187943i
\(639\) −90.3119 −3.57268
\(640\) 11.0292 + 36.3299i 0.435966 + 1.43606i
\(641\) −5.92037 −0.233840 −0.116920 0.993141i \(-0.537302\pi\)
−0.116920 + 0.993141i \(0.537302\pi\)
\(642\) 22.2312 + 29.5381i 0.877394 + 1.16578i
\(643\) −3.08701 + 31.3429i −0.121740 + 1.23604i 0.719157 + 0.694848i \(0.244528\pi\)
−0.840897 + 0.541196i \(0.817972\pi\)
\(644\) 5.30208 2.93078i 0.208931 0.115489i
\(645\) −4.87394 + 2.60518i −0.191911 + 0.102579i
\(646\) 40.2047 24.4843i 1.58183 0.963323i
\(647\) 1.54606 + 7.77259i 0.0607820 + 0.305572i 0.999203 0.0399227i \(-0.0127112\pi\)
−0.938421 + 0.345495i \(0.887711\pi\)
\(648\) −2.99004 + 106.924i −0.117460 + 4.20039i
\(649\) −8.90261 1.77084i −0.349458 0.0695115i
\(650\) 41.1795 + 19.1227i 1.61519 + 0.750053i
\(651\) 1.90609 2.32258i 0.0747057 0.0910292i
\(652\) 17.0754 7.35635i 0.668724 0.288097i
\(653\) 12.6507 23.6678i 0.495060 0.926192i −0.503021 0.864274i \(-0.667778\pi\)
0.998081 0.0619178i \(-0.0197217\pi\)
\(654\) 0.673495 0.753689i 0.0263357 0.0294716i
\(655\) −17.0056 41.0551i −0.664463 1.60415i
\(656\) 0.727628 + 25.8192i 0.0284091 + 1.00807i
\(657\) 5.44761 13.1517i 0.212532 0.513097i
\(658\) 3.88296 + 8.06242i 0.151374 + 0.314306i
\(659\) −0.182995 0.603254i −0.00712848 0.0234994i 0.953304 0.302013i \(-0.0976584\pi\)
−0.960432 + 0.278513i \(0.910158\pi\)
\(660\) −12.8625 + 19.8498i −0.500672 + 0.772653i
\(661\) −0.288440 + 0.0284089i −0.0112190 + 0.00110498i −0.103625 0.994616i \(-0.533044\pi\)
0.0924061 + 0.995721i \(0.470544\pi\)
\(662\) −4.82120 0.202821i −0.187381 0.00788287i
\(663\) 83.3900 55.7194i 3.23860 2.16396i
\(664\) 2.09221 + 2.69986i 0.0811933 + 0.104775i
\(665\) 10.7609 16.1049i 0.417291 0.624520i
\(666\) 111.863 17.3994i 4.33459 0.674211i
\(667\) −3.55552 + 11.7210i −0.137670 + 0.453839i
\(668\) 4.24788 3.58747i 0.164355 0.138803i
\(669\) −37.7999 + 31.0216i −1.46143 + 1.19936i
\(670\) −0.700388 + 1.18741i −0.0270584 + 0.0458738i
\(671\) −5.07513 + 5.07513i −0.195923 + 0.195923i
\(672\) 18.8688 3.48191i 0.727880 0.134318i
\(673\) −10.6219 10.6219i −0.409443 0.409443i 0.472101 0.881544i \(-0.343496\pi\)
−0.881544 + 0.472101i \(0.843496\pi\)
\(674\) 0.482596 0.124503i 0.0185889 0.00479567i
\(675\) 74.1723 + 90.3792i 2.85489 + 3.47870i
\(676\) −25.3194 + 8.07176i −0.973824 + 0.310452i
\(677\) −10.6167 3.22053i −0.408032 0.123775i 0.0795951 0.996827i \(-0.474637\pi\)
−0.487627 + 0.873052i \(0.662137\pi\)
\(678\) −34.5599 + 47.2912i −1.32726 + 1.81621i
\(679\) −2.39324 1.59911i −0.0918441 0.0613683i
\(680\) 48.9782 24.4444i 1.87823 0.937400i
\(681\) 40.4405 + 60.5235i 1.54968 + 2.31927i
\(682\) −0.880858 0.958226i −0.0337298 0.0366924i
\(683\) 2.05785 + 20.8937i 0.0787413 + 0.799473i 0.950745 + 0.309974i \(0.100320\pi\)
−0.872004 + 0.489499i \(0.837180\pi\)
\(684\) −96.5500 17.7949i −3.69168 0.680406i
\(685\) −0.172511 + 0.0523305i −0.00659129 + 0.00199945i
\(686\) 1.33487 + 0.467044i 0.0509655 + 0.0178318i
\(687\) −15.8107 6.54900i −0.603216 0.249860i
\(688\) 0.866878 1.73787i 0.0330494 0.0662558i
\(689\) 37.9627 15.7247i 1.44627 0.599063i
\(690\) −48.6840 + 2.73555i −1.85337 + 0.104141i
\(691\) 11.5397 + 6.16808i 0.438989 + 0.234645i 0.676058 0.736848i \(-0.263687\pi\)
−0.237069 + 0.971493i \(0.576187\pi\)
\(692\) 0.625729 + 44.4157i 0.0237867 + 1.68843i
\(693\) 6.83068 + 5.60579i 0.259476 + 0.212946i
\(694\) 46.7438 17.0975i 1.77437 0.649014i
\(695\) 5.75870 28.9510i 0.218440 1.09817i
\(696\) −22.4455 + 31.6401i −0.850793 + 1.19932i
\(697\) 36.5243 7.26513i 1.38345 0.275186i
\(698\) −40.1201 9.74976i −1.51857 0.369034i
\(699\) 35.1286 + 65.7209i 1.32868 + 2.48579i
\(700\) 7.80765 9.79173i 0.295101 0.370093i
\(701\) −13.7264 1.35193i −0.518439 0.0510618i −0.164586 0.986363i \(-0.552629\pi\)
−0.353853 + 0.935301i \(0.615129\pi\)
\(702\) −134.058 18.9217i −5.05971 0.714152i
\(703\) 54.3252i 2.04891i
\(704\) −0.351167 8.30448i −0.0132351 0.312987i
\(705\) 72.0262i 2.71266i
\(706\) −4.49578 + 31.8522i −0.169201 + 1.19877i
\(707\) 0.653743 + 0.0643880i 0.0245865 + 0.00242156i
\(708\) −6.63932 58.8927i −0.249521 2.21332i
\(709\) 6.45388 + 12.0744i 0.242381 + 0.453462i 0.973469 0.228821i \(-0.0734871\pi\)
−0.731088 + 0.682283i \(0.760987\pi\)
\(710\) 11.9006 48.9706i 0.446620 1.83783i
\(711\) 22.2270 4.42122i 0.833576 0.165809i
\(712\) 5.83758 25.5871i 0.218773 0.958918i
\(713\) 0.523471 2.63167i 0.0196041 0.0985567i
\(714\) −9.50280 25.9802i −0.355633 0.972283i
\(715\) −13.8189 11.3409i −0.516797 0.424124i
\(716\) 19.0665 19.6114i 0.712549 0.732913i
\(717\) 13.0502 + 6.97548i 0.487369 + 0.260504i
\(718\) −1.88419 33.5325i −0.0703174 1.25142i
\(719\) −8.62241 + 3.57152i −0.321562 + 0.133195i −0.537625 0.843184i \(-0.680678\pi\)
0.216063 + 0.976379i \(0.430678\pi\)
\(720\) −110.139 30.0494i −4.10463 1.11988i
\(721\) −15.5895 6.45737i −0.580582 0.240485i
\(722\) 6.68488 19.1062i 0.248786 0.711059i
\(723\) −46.7690 + 14.1872i −1.73936 + 0.527629i
\(724\) −1.65157 + 1.13752i −0.0613802 + 0.0422756i
\(725\) 2.48179 + 25.1980i 0.0921712 + 0.935830i
\(726\) −35.0338 + 32.2051i −1.30023 + 1.19524i
\(727\) 26.2028 + 39.2153i 0.971809 + 1.45442i 0.889031 + 0.457847i \(0.151379\pi\)
0.0827786 + 0.996568i \(0.473621\pi\)
\(728\) 1.01745 + 14.4660i 0.0377090 + 0.536145i
\(729\) −109.455 73.1357i −4.05390 2.70873i
\(730\) 6.41351 + 4.68693i 0.237375 + 0.173471i
\(731\) −2.67944 0.812799i −0.0991027 0.0300625i
\(732\) −41.6358 21.5063i −1.53890 0.794895i
\(733\) −12.8192 15.6202i −0.473487 0.576946i 0.480423 0.877037i \(-0.340483\pi\)
−0.953911 + 0.300091i \(0.902983\pi\)
\(734\) 4.53709 + 17.5866i 0.167467 + 0.649132i
\(735\) −8.04875 8.04875i −0.296883 0.296883i
\(736\) 13.3951 10.6856i 0.493750 0.393878i
\(737\) 0.213408 0.213408i 0.00786100 0.00786100i
\(738\) −66.8971 39.4588i −2.46251 1.45250i
\(739\) 37.9596 31.1526i 1.39637 1.14597i 0.425890 0.904775i \(-0.359961\pi\)
0.970477 0.241193i \(-0.0775388\pi\)
\(740\) −5.30574 + 62.9490i −0.195043 + 2.31405i
\(741\) 29.1372 96.0524i 1.07038 3.52857i
\(742\) −1.74197 11.1993i −0.0639496 0.411140i
\(743\) −11.8180 + 17.6869i −0.433560 + 0.648868i −0.982341 0.187098i \(-0.940092\pi\)
0.548781 + 0.835966i \(0.315092\pi\)
\(744\) 4.21400 7.37990i 0.154493 0.270560i
\(745\) −3.26883 + 2.18416i −0.119761 + 0.0800216i
\(746\) 1.19713 28.4567i 0.0438302 1.04187i
\(747\) −10.2211 + 1.00669i −0.373971 + 0.0368329i
\(748\) −11.7194 + 2.50325i −0.428503 + 0.0915278i
\(749\) 2.23722 + 7.37513i 0.0817463 + 0.269481i
\(750\) −18.2991 + 8.81308i −0.668189 + 0.321808i
\(751\) −1.87714 + 4.53181i −0.0684978 + 0.165368i −0.954421 0.298464i \(-0.903526\pi\)
0.885923 + 0.463832i \(0.153526\pi\)
\(752\) 14.6492 + 20.6407i 0.534203 + 0.752690i
\(753\) 28.5126 + 68.8354i 1.03906 + 2.50850i
\(754\) −21.8625 19.5363i −0.796184 0.711469i
\(755\) 20.5344 38.4172i 0.747324 1.39815i
\(756\) −13.8034 + 34.6990i −0.502026 + 1.26199i
\(757\) 18.0478 21.9913i 0.655959 0.799288i −0.333708 0.942677i \(-0.608300\pi\)
0.989666 + 0.143388i \(0.0457998\pi\)
\(758\) −17.1613 + 36.9557i −0.623325 + 1.34229i
\(759\) 10.4698 + 2.08257i 0.380029 + 0.0755924i
\(760\) 22.3717 50.0082i 0.811505 1.81399i
\(761\) 0.606993 + 3.05156i 0.0220035 + 0.110619i 0.990226 0.139470i \(-0.0445400\pi\)
−0.968223 + 0.250089i \(0.919540\pi\)
\(762\) −35.0204 57.5055i −1.26865 2.08320i
\(763\) 0.185833 0.0993299i 0.00672761 0.00359598i
\(764\) −5.37560 1.54832i −0.194482 0.0560163i
\(765\) −16.1334 + 163.805i −0.583303 + 5.92237i
\(766\) −10.4089 + 7.83403i −0.376090 + 0.283055i
\(767\) 44.7927 1.61737
\(768\) 50.9636 18.6536i 1.83899 0.673104i
\(769\) −35.6897 −1.28700 −0.643502 0.765444i \(-0.722519\pi\)
−0.643502 + 0.765444i \(0.722519\pi\)
\(770\) −3.93977 + 2.96517i −0.141979 + 0.106857i
\(771\) 5.77727 58.6576i 0.208063 2.11250i
\(772\) 44.4108 + 12.7916i 1.59838 + 0.460378i
\(773\) 11.7466 6.27868i 0.422496 0.225829i −0.246426 0.969162i \(-0.579256\pi\)
0.668922 + 0.743333i \(0.266756\pi\)
\(774\) 3.03741 + 4.98760i 0.109177 + 0.179276i
\(775\) −1.08212 5.44018i −0.0388709 0.195417i
\(776\) −7.43140 3.32451i −0.266772 0.119343i
\(777\) 31.3118 + 6.22830i 1.12330 + 0.223439i
\(778\) −19.1341 + 41.2041i −0.685991 + 1.47724i
\(779\) 23.6441 28.8104i 0.847136 1.03224i
\(780\) 43.1436 108.454i 1.54479 3.88329i
\(781\) −5.20085 + 9.73010i −0.186101 + 0.348170i
\(782\) −18.4214 16.4613i −0.658746 0.588655i
\(783\) −28.8932 69.7543i −1.03256 2.49282i
\(784\) 3.94357 + 0.669535i 0.140842 + 0.0239120i
\(785\) −7.25333 + 17.5111i −0.258883 + 0.624998i
\(786\) −57.2279 + 27.5617i −2.04125 + 0.983094i
\(787\) 1.47620 + 4.86637i 0.0526208 + 0.173467i 0.979312 0.202356i \(-0.0648599\pi\)
−0.926691 + 0.375824i \(0.877360\pi\)
\(788\) 13.9888 2.98798i 0.498329 0.106443i
\(789\) 11.0925 1.09251i 0.394902 0.0388944i
\(790\) −0.531533 + 12.6349i −0.0189111 + 0.449530i
\(791\) −10.1529 + 6.78396i −0.360996 + 0.241210i
\(792\) 21.7042 + 12.3933i 0.771224 + 0.440377i
\(793\) 19.6773 29.4491i 0.698760 1.04577i
\(794\) 0.316509 + 2.03487i 0.0112325 + 0.0722149i
\(795\) −26.4811 + 87.2964i −0.939187 + 3.09608i
\(796\) 1.90675 22.6223i 0.0675831 0.801827i
\(797\) −5.47642 + 4.49438i −0.193985 + 0.159199i −0.726372 0.687302i \(-0.758795\pi\)
0.532387 + 0.846501i \(0.321295\pi\)
\(798\) −23.8469 14.0660i −0.844173 0.497929i
\(799\) 25.8038 25.8038i 0.912874 0.912874i
\(800\) 17.1293 31.0046i 0.605614 1.09618i
\(801\) 55.8017 + 55.8017i 1.97166 + 1.97166i
\(802\) 8.62113 + 33.4171i 0.304423 + 1.18000i
\(803\) −1.10323 1.34429i −0.0389323 0.0474391i
\(804\) 1.75078 + 0.904337i 0.0617452 + 0.0318935i
\(805\) −9.72746 2.95079i −0.342848 0.104002i
\(806\) 5.18578 + 3.78971i 0.182661 + 0.133487i
\(807\) −33.7301 22.5377i −1.18736 0.793366i
\(808\) 1.85343 0.130359i 0.0652035 0.00458600i
\(809\) −12.8805 19.2771i −0.452855 0.677745i 0.532853 0.846208i \(-0.321120\pi\)
−0.985708 + 0.168463i \(0.946120\pi\)
\(810\) 132.135 121.466i 4.64274 4.26788i
\(811\) 1.53012 + 15.5355i 0.0537296 + 0.545526i 0.983940 + 0.178499i \(0.0571242\pi\)
−0.930210 + 0.367027i \(0.880376\pi\)
\(812\) −6.66029 + 4.58728i −0.233730 + 0.160982i
\(813\) 67.0240 20.3315i 2.35063 0.713057i
\(814\) 4.56732 13.0539i 0.160084 0.457540i
\(815\) −28.8223 11.9386i −1.00960 0.418190i
\(816\) −38.8134 67.9389i −1.35874 2.37834i
\(817\) −2.58899 + 1.07240i −0.0905774 + 0.0375184i
\(818\) −0.809143 14.4001i −0.0282910 0.503489i
\(819\) −38.4567 20.5555i −1.34379 0.718269i
\(820\) 30.2112 31.0746i 1.05502 1.08517i
\(821\) −40.0560 32.8731i −1.39796 1.14728i −0.969892 0.243535i \(-0.921693\pi\)
−0.428072 0.903745i \(-0.640807\pi\)
\(822\) 0.0885172 + 0.242002i 0.00308739 + 0.00844077i
\(823\) −4.80976 + 24.1803i −0.167658 + 0.842873i 0.801796 + 0.597598i \(0.203878\pi\)
−0.969454 + 0.245275i \(0.921122\pi\)
\(824\) −46.5310 10.6158i −1.62099 0.369820i
\(825\) 21.6431 4.30509i 0.753517 0.149884i
\(826\) 2.91757 12.0057i 0.101515 0.417733i
\(827\) −10.9988 20.5772i −0.382464 0.715540i 0.614861 0.788636i \(-0.289212\pi\)
−0.997325 + 0.0730955i \(0.976712\pi\)
\(828\) 5.77204 + 51.1997i 0.200592 + 1.77931i
\(829\) 12.2117 + 1.20275i 0.424130 + 0.0417732i 0.307831 0.951441i \(-0.400397\pi\)
0.116299 + 0.993214i \(0.462897\pi\)
\(830\) 0.800988 5.67493i 0.0278027 0.196980i
\(831\) 52.5098i 1.82155i
\(832\) 9.69450 + 39.8549i 0.336096 + 1.38172i
\(833\) 5.76703i 0.199816i
\(834\) −41.7791 5.89690i −1.44669 0.204193i
\(835\) −9.28446 0.914439i −0.321302 0.0316455i
\(836\) −7.47729 + 9.37742i −0.258607 + 0.324325i
\(837\) 7.79686 + 14.5869i 0.269499 + 0.504197i
\(838\) −7.36587 1.79001i −0.254450 0.0618350i
\(839\) −3.59720 + 0.715528i −0.124189 + 0.0247028i −0.256794 0.966466i \(-0.582666\pi\)
0.132604 + 0.991169i \(0.457666\pi\)
\(840\) −26.2587 18.6279i −0.906012 0.642723i
\(841\) −2.46777 + 12.4063i −0.0850954 + 0.427803i
\(842\) −28.4924 + 10.4217i −0.981914 + 0.359156i
\(843\) −14.1786 11.6360i −0.488335 0.400767i
\(844\) 0.141523 + 10.0456i 0.00487143 + 0.345785i
\(845\) 39.3255 + 21.0199i 1.35284 + 0.723108i
\(846\) −75.9881 + 4.26977i −2.61252 + 0.146798i
\(847\) −9.16535 + 3.79641i −0.314925 + 0.130446i
\(848\) −10.1663 30.4027i −0.349111 1.04403i
\(849\) 24.2247 + 10.0342i 0.831391 + 0.344373i
\(850\) −48.2042 16.8657i −1.65339 0.578488i
\(851\) 27.2829 8.27617i 0.935244 0.283703i
\(852\) −70.8425 13.0568i −2.42702 0.447320i
\(853\) 0.166760 + 1.69314i 0.00570975 + 0.0579721i 0.997617 0.0689895i \(-0.0219775\pi\)
−0.991908 + 0.126962i \(0.959478\pi\)
\(854\) −6.61153 7.19223i −0.226242 0.246113i
\(855\) 91.5203 + 136.970i 3.12993 + 4.68427i
\(856\) 9.73441 + 19.5044i 0.332715 + 0.666648i
\(857\) 15.5636 + 10.3993i 0.531642 + 0.355232i 0.792234 0.610217i \(-0.208918\pi\)
−0.260592 + 0.965449i \(0.583918\pi\)
\(858\) −15.0769 + 20.6310i −0.514718 + 0.704331i
\(859\) 38.9045 + 11.8015i 1.32740 + 0.402663i 0.872821 0.488041i \(-0.162288\pi\)
0.454583 + 0.890705i \(0.349788\pi\)
\(860\) −3.10471 + 0.989774i −0.105870 + 0.0337510i
\(861\) −13.8949 16.9310i −0.473536 0.577006i
\(862\) −35.7259 + 9.21676i −1.21683 + 0.313924i
\(863\) −1.18341 1.18341i −0.0402837 0.0402837i 0.686678 0.726962i \(-0.259068\pi\)
−0.726962 + 0.686678i \(0.759068\pi\)
\(864\) −22.0410 + 103.299i −0.749852 + 3.51430i
\(865\) 52.7032 52.7032i 1.79196 1.79196i
\(866\) 17.7711 30.1285i 0.603887 1.02381i
\(867\) −42.6295 + 34.9851i −1.44777 + 1.18816i
\(868\) 1.35353 1.14310i 0.0459417 0.0387992i
\(869\) 0.803661 2.64931i 0.0272623 0.0898718i
\(870\) 64.3184 10.0042i 2.18060 0.339175i
\(871\) −0.827426 + 1.23833i −0.0280363 + 0.0419592i
\(872\) 0.471095 0.365066i 0.0159533 0.0123627i
\(873\) 20.3542 13.6002i 0.688885 0.460298i
\(874\) −24.7031 1.03922i −0.835594 0.0351523i
\(875\) −4.21380 + 0.415023i −0.142453 + 0.0140304i
\(876\) 6.17463 9.52888i 0.208621 0.321951i
\(877\) 8.85159 + 29.1798i 0.298897 + 0.985331i 0.969824 + 0.243807i \(0.0783965\pi\)
−0.670927 + 0.741524i \(0.734103\pi\)
\(878\) 20.3251 + 42.2021i 0.685938 + 1.42425i
\(879\) 10.3399 24.9627i 0.348755 0.841969i
\(880\) −9.58012 + 10.1357i −0.322946 + 0.341676i
\(881\) 14.1400 + 34.1370i 0.476390 + 1.15011i 0.961290 + 0.275537i \(0.0888557\pi\)
−0.484901 + 0.874569i \(0.661144\pi\)
\(882\) −8.01434 + 8.96861i −0.269857 + 0.301989i
\(883\) 17.0481 31.8948i 0.573715 1.07335i −0.412976 0.910742i \(-0.635511\pi\)
0.986691 0.162604i \(-0.0519893\pi\)
\(884\) 54.3109 23.3980i 1.82667 0.786959i
\(885\) −63.0863 + 76.8709i −2.12062 + 2.58399i
\(886\) −26.9285 12.5049i −0.904681 0.420110i
\(887\) 6.19643 + 1.23255i 0.208056 + 0.0413848i 0.298018 0.954560i \(-0.403675\pi\)
−0.0899620 + 0.995945i \(0.528675\pi\)
\(888\) 90.2629 + 2.52411i 3.02902 + 0.0847037i
\(889\) −2.73834 13.7666i −0.0918410 0.461716i
\(890\) −37.6109 + 22.9047i −1.26072 + 0.767769i
\(891\) −34.6531 + 18.5225i −1.16092 + 0.620526i
\(892\) −25.2347 + 13.9488i −0.844920 + 0.467040i
\(893\) 3.57979 36.3462i 0.119793 1.21628i
\(894\) 3.37926 + 4.48996i 0.113019 + 0.150167i
\(895\) −45.8948 −1.53409
\(896\) 11.3137 0.00246019i 0.377964 8.21892e-5i
\(897\) −52.6777 −1.75886
\(898\) 13.2741 + 17.6371i 0.442963 + 0.588556i
\(899\) −0.351087 + 3.56464i −0.0117094 + 0.118888i
\(900\) 51.5269 + 93.2173i 1.71756 + 3.10724i
\(901\) −40.7615 + 21.7875i −1.35796 + 0.725845i
\(902\) −8.10369 + 4.93508i −0.269823 + 0.164320i
\(903\) 0.321280 + 1.61518i 0.0106915 + 0.0537500i
\(904\) −25.0947 + 23.7294i −0.834639 + 0.789229i
\(905\) 3.30026 + 0.656463i 0.109704 + 0.0218216i
\(906\) −56.4737 26.2249i −1.87621 0.871264i
\(907\) 30.3725 37.0090i 1.00850 1.22886i 0.0351897 0.999381i \(-0.488796\pi\)
0.973313 0.229483i \(-0.0737035\pi\)
\(908\) 16.9820 + 39.4183i 0.563567 + 1.30814i
\(909\) −2.63365 + 4.92721i −0.0873525 + 0.163425i
\(910\) 16.2135 18.1441i 0.537473 0.601470i
\(911\) 5.85538 + 14.1361i 0.193997 + 0.468351i 0.990707 0.136011i \(-0.0434282\pi\)
−0.796710 + 0.604362i \(0.793428\pi\)
\(912\) −73.1631 27.9174i −2.42267 0.924438i
\(913\) −0.480150 + 1.15918i −0.0158906 + 0.0383634i
\(914\) 24.8172 + 51.5294i 0.820881 + 1.70444i
\(915\) 22.8254 + 75.2454i 0.754585 + 2.48753i
\(916\) −8.46832 5.48739i −0.279801 0.181308i
\(917\) −13.1781 + 1.29793i −0.435179 + 0.0428614i
\(918\) 152.150 + 6.40073i 5.02169 + 0.211256i
\(919\) −4.60796 + 3.07894i −0.152003 + 0.101565i −0.629246 0.777206i \(-0.716636\pi\)
0.477243 + 0.878771i \(0.341636\pi\)
\(920\) −28.5230 3.61685i −0.940377 0.119244i
\(921\) −60.5376 + 90.6009i −1.99478 + 2.98540i
\(922\) −4.93693 + 0.767901i −0.162589 + 0.0252895i
\(923\) 15.8043 52.0998i 0.520205 1.71489i
\(924\) 4.54767 + 5.38485i 0.149607 + 0.177148i
\(925\) 45.5589 37.3892i 1.49797 1.22935i
\(926\) −5.95282 + 10.0922i −0.195622 + 0.331651i
\(927\) 101.477 101.477i 3.33295 3.33295i
\(928\) −16.3971 + 15.9485i −0.538263 + 0.523535i
\(929\) −5.04184 5.04184i −0.165417 0.165417i 0.619544 0.784962i \(-0.287317\pi\)
−0.784962 + 0.619544i \(0.787317\pi\)
\(930\) −13.8074 + 3.56211i −0.452762 + 0.116806i
\(931\) −3.66156 4.46163i −0.120003 0.146224i
\(932\) 13.3462 + 41.8644i 0.437171 + 1.37131i
\(933\) −75.1450 22.7950i −2.46014 0.746274i
\(934\) 25.2901 34.6066i 0.827519 1.13236i
\(935\) 16.7191 + 11.1713i 0.546771 + 0.365341i
\(936\) −116.978 39.0875i −3.82353 1.27761i
\(937\) −11.4676 17.1625i −0.374630 0.560673i 0.595471 0.803377i \(-0.296966\pi\)
−0.970100 + 0.242704i \(0.921966\pi\)
\(938\) 0.278014 + 0.302432i 0.00907747 + 0.00987477i
\(939\) 6.48105 + 65.8032i 0.211501 + 2.14740i
\(940\) 7.69785 41.7663i 0.251076 1.36227i
\(941\) 29.4492 8.93332i 0.960017 0.291218i 0.228885 0.973454i \(-0.426492\pi\)
0.731132 + 0.682236i \(0.238992\pi\)
\(942\) 25.5726 + 8.94734i 0.833199 + 0.291520i
\(943\) −18.0710 7.48526i −0.588473 0.243754i
\(944\) 2.44422 34.8600i 0.0795525 1.13460i
\(945\) 57.8904 23.9790i 1.88317 0.780036i
\(946\) 0.712276 0.0400228i 0.0231581 0.00130125i
\(947\) 25.6638 + 13.7176i 0.833960 + 0.445761i 0.832359 0.554238i \(-0.186990\pi\)
0.00160189 + 0.999999i \(0.499490\pi\)
\(948\) 18.0745 0.254634i 0.587032 0.00827012i
\(949\) 6.63374 + 5.44417i 0.215340 + 0.176725i
\(950\) −48.0012 + 17.5574i −1.55736 + 0.569639i
\(951\) 3.19360 16.0553i 0.103559 0.520628i
\(952\) −2.73380 16.0809i −0.0886028 0.521185i
\(953\) −12.4511 + 2.47669i −0.403332 + 0.0802278i −0.392588 0.919715i \(-0.628420\pi\)
−0.0107444 + 0.999942i \(0.503420\pi\)
\(954\) 93.6680 + 22.7627i 3.03261 + 0.736969i
\(955\) 4.42479 + 8.27820i 0.143183 + 0.267876i
\(956\) 6.82199 + 5.43967i 0.220639 + 0.175931i
\(957\) −14.1815 1.39676i −0.458423 0.0451508i
\(958\) 41.1253 + 5.80462i 1.32870 + 0.187539i
\(959\) 0.0537190i 0.00173468i
\(960\) −82.0507 39.4947i −2.64818 1.27469i
\(961\) 30.2153i 0.974688i
\(962\) −9.53815 + 67.5770i −0.307522 + 2.17877i
\(963\) −65.2313 6.42473i −2.10205 0.207034i
\(964\) −28.6365 + 3.22836i −0.922320 + 0.103979i
\(965\) −36.5556 68.3908i −1.17677 2.20158i
\(966\) −3.43116 + 14.1191i −0.110396 + 0.454276i
\(967\) −9.64241 + 1.91800i −0.310079 + 0.0616786i −0.347677 0.937614i \(-0.613029\pi\)
0.0375978 + 0.999293i \(0.488029\pi\)
\(968\) −23.7572 + 14.9307i −0.763585 + 0.479892i
\(969\) −22.0261 + 110.732i −0.707579 + 3.55724i
\(970\) 4.69246 + 12.8290i 0.150666 + 0.411913i
\(971\) 32.3548 + 26.5529i 1.03831 + 0.852122i 0.989185 0.146671i \(-0.0468557\pi\)
0.0491282 + 0.998792i \(0.484356\pi\)
\(972\) −103.620 100.741i −3.32360 3.23126i
\(973\) −7.75740 4.14642i −0.248691 0.132928i
\(974\) −3.24947 57.8302i −0.104120 1.85300i
\(975\) −100.606 + 41.6725i −3.22198 + 1.33459i
\(976\) −21.8451 16.9208i −0.699245 0.541623i
\(977\) −32.8021 13.5871i −1.04943 0.434689i −0.209742 0.977757i \(-0.567263\pi\)
−0.839689 + 0.543068i \(0.817263\pi\)
\(978\) −14.7268 + 42.0910i −0.470912 + 1.34592i
\(979\) 9.22550 2.79853i 0.294848 0.0894413i
\(980\) −3.80706 5.52750i −0.121612 0.176569i
\(981\) 0.175656 + 1.78347i 0.00560827 + 0.0569417i
\(982\) 11.3352 10.4200i 0.361721 0.332516i
\(983\) 16.9703 + 25.3979i 0.541270 + 0.810068i 0.996782 0.0801620i \(-0.0255438\pi\)
−0.455512 + 0.890230i \(0.650544\pi\)
\(984\) −46.7707 40.6239i −1.49100 1.29504i
\(985\) −19.9566 13.3346i −0.635870 0.424874i
\(986\) 26.6265 + 19.4584i 0.847961 + 0.619681i
\(987\) −20.5387 6.23035i −0.653754 0.198314i
\(988\) 27.1616 52.5844i 0.864126 1.67293i
\(989\) 0.932992 + 1.13685i 0.0296674 + 0.0361498i
\(990\) −10.4761 40.6073i −0.332952 1.29058i
\(991\) −29.7177 29.7177i −0.944014 0.944014i 0.0544996 0.998514i \(-0.482644\pi\)
−0.998514 + 0.0544996i \(0.982644\pi\)
\(992\) 3.23233 3.82905i 0.102627 0.121573i
\(993\) 8.18371 8.18371i 0.259702 0.259702i
\(994\) −12.9348 7.62952i −0.410268 0.241994i
\(995\) −29.4464 + 24.1661i −0.933514 + 0.766115i
\(996\) −8.16320 0.688047i −0.258661 0.0218016i
\(997\) −2.65135 + 8.74033i −0.0839691 + 0.276809i −0.988863 0.148828i \(-0.952450\pi\)
0.904894 + 0.425637i \(0.139950\pi\)
\(998\) −1.40127 9.00894i −0.0443564 0.285173i
\(999\) −97.6383 + 146.126i −3.08914 + 4.62323i
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 896.2.bn.b.29.10 784
128.53 even 32 inner 896.2.bn.b.309.10 yes 784
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
896.2.bn.b.29.10 784 1.1 even 1 trivial
896.2.bn.b.309.10 yes 784 128.53 even 32 inner