Properties

Label 605.2.w.a.2.8
Level $605$
Weight $2$
Character 605.2
Analytic conductor $4.831$
Analytic rank $0$
Dimension $5120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [605,2,Mod(2,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(220))
 
chi = DirichletCharacter(H, H._module([55, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.w (of order \(220\), degree \(80\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(5120\)
Relative dimension: \(64\) over \(\Q(\zeta_{220})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{220}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 605.2
Dual form 605.2.w.a.303.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.55775 - 1.64937i) q^{2} +(0.240669 - 1.51952i) q^{3} +(-0.179660 + 3.14189i) q^{4} +(-1.15878 - 1.91239i) q^{5} +(-2.88116 + 1.97009i) q^{6} +(-2.21948 - 3.34750i) q^{7} +(1.99079 - 1.67586i) q^{8} +(0.602146 + 0.195649i) q^{9} +O(q^{10})\) \(q+(-1.55775 - 1.64937i) q^{2} +(0.240669 - 1.51952i) q^{3} +(-0.179660 + 3.14189i) q^{4} +(-1.15878 - 1.91239i) q^{5} +(-2.88116 + 1.97009i) q^{6} +(-2.21948 - 3.34750i) q^{7} +(1.99079 - 1.67586i) q^{8} +(0.602146 + 0.195649i) q^{9} +(-1.34914 + 4.89029i) q^{10} +(-2.30886 + 2.38100i) q^{11} +(4.73093 + 1.02915i) q^{12} +(-2.37862 + 4.07498i) q^{13} +(-2.06387 + 8.87532i) q^{14} +(-3.18479 + 1.30054i) q^{15} +(0.387744 + 0.0444895i) q^{16} +(3.13335 - 4.44480i) q^{17} +(-0.615296 - 1.29794i) q^{18} +(-4.24348 - 4.36644i) q^{19} +(6.21670 - 3.29719i) q^{20} +(-5.62075 + 2.56691i) q^{21} +(7.52379 + 0.0991658i) q^{22} +(1.32260 + 3.54604i) q^{23} +(-2.06739 - 3.42837i) q^{24} +(-2.31445 + 4.43208i) q^{25} +(10.4265 - 2.42457i) q^{26} +(2.53755 - 4.98023i) q^{27} +(10.9162 - 6.37195i) q^{28} +(1.17599 - 2.22875i) q^{29} +(7.10620 + 3.22699i) q^{30} +(-7.04383 + 5.75971i) q^{31} +(-3.64958 - 4.87527i) q^{32} +(3.06231 + 4.08140i) q^{33} +(-12.2121 + 1.75584i) q^{34} +(-3.82981 + 8.12352i) q^{35} +(-0.722890 + 1.85673i) q^{36} +(-0.0736391 + 0.167538i) q^{37} +(-0.591592 + 13.8009i) q^{38} +(5.61956 + 4.59509i) q^{39} +(-5.51179 - 1.86520i) q^{40} +(5.18749 + 4.00016i) q^{41} +(12.9895 + 5.27210i) q^{42} +(-2.58967 + 0.185217i) q^{43} +(-7.06603 - 7.68196i) q^{44} +(-0.323600 - 1.37825i) q^{45} +(3.78845 - 7.70532i) q^{46} +(-1.05686 - 0.501013i) q^{47} +(0.160921 - 0.578478i) q^{48} +(-3.55474 + 8.41153i) q^{49} +(10.9155 - 3.08670i) q^{50} +(-5.99987 - 5.83091i) q^{51} +(-12.3758 - 8.20549i) q^{52} +(6.89742 - 8.68538i) q^{53} +(-12.1671 + 3.57259i) q^{54} +(7.22886 + 1.65638i) q^{55} +(-10.0285 - 2.94462i) q^{56} +(-7.65617 + 5.39720i) q^{57} +(-5.50795 + 1.53220i) q^{58} +(2.48878 - 1.91914i) q^{59} +(-3.51399 - 10.2399i) q^{60} +(6.52391 - 0.186373i) q^{61} +(20.4725 + 2.64570i) q^{62} +(-0.681517 - 2.44992i) q^{63} +(-2.22289 + 12.8448i) q^{64} +(10.5492 - 0.173166i) q^{65} +(1.96142 - 11.4087i) q^{66} +(0.0206648 + 0.0112838i) q^{67} +(13.4021 + 10.6432i) q^{68} +(5.70659 - 1.15631i) q^{69} +(19.3646 - 6.33765i) q^{70} +(-3.38233 + 1.66298i) q^{71} +(1.52663 - 0.619617i) q^{72} +(-10.5145 - 2.92492i) q^{73} +(0.391044 - 0.139524i) q^{74} +(6.17763 + 4.58351i) q^{75} +(14.4813 - 12.5481i) q^{76} +(13.0949 + 2.44432i) q^{77} +(-1.17487 - 16.4268i) q^{78} +(-3.02409 + 1.27799i) q^{79} +(-0.364230 - 0.793070i) q^{80} +(-5.42020 - 3.93801i) q^{81} +(-1.48308 - 14.7874i) q^{82} +(5.39626 + 0.231317i) q^{83} +(-7.05513 - 18.1210i) q^{84} +(-12.1310 - 0.841618i) q^{85} +(4.33956 + 3.98281i) q^{86} +(-3.10361 - 2.32333i) q^{87} +(-0.606235 + 8.60940i) q^{88} +(2.33214 + 0.335311i) q^{89} +(-1.76916 + 2.68071i) q^{90} +(18.9203 - 1.08190i) q^{91} +(-11.3789 + 3.51840i) q^{92} +(7.05678 + 12.0894i) q^{93} +(0.819971 + 2.52361i) q^{94} +(-3.43305 + 13.1749i) q^{95} +(-8.28642 + 4.37229i) q^{96} +(-1.65298 + 6.67483i) q^{97} +(19.4112 - 7.23999i) q^{98} +(-1.85611 + 0.981983i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 5120 q - 78 q^{2} - 60 q^{3} - 86 q^{5} - 156 q^{6} - 88 q^{7} - 78 q^{8} - 44 q^{10} - 152 q^{11} - 134 q^{12} - 34 q^{13} - 94 q^{15} - 280 q^{16} - 88 q^{17} - 56 q^{18} - 96 q^{20} - 176 q^{21} - 10 q^{22} - 56 q^{23} - 110 q^{25} - 188 q^{26} - 180 q^{27} - 138 q^{28} - 118 q^{30} - 148 q^{31} - 88 q^{32} - 88 q^{33} - 78 q^{35} - 496 q^{36} - 152 q^{37} - 230 q^{38} - 60 q^{40} - 216 q^{41} - 144 q^{42} - 88 q^{43} - 194 q^{45} - 236 q^{46} - 52 q^{47} + 12 q^{48} - 148 q^{50} + 244 q^{51} - 38 q^{52} - 84 q^{53} - 200 q^{55} + 136 q^{56} - 184 q^{57} - 14 q^{58} - 114 q^{60} - 116 q^{61} - 188 q^{62} - 36 q^{63} - 88 q^{65} - 76 q^{66} + 48 q^{67} - 58 q^{68} - 14 q^{70} - 196 q^{71} - 410 q^{72} - 138 q^{73} - 114 q^{75} - 308 q^{76} - 158 q^{77} + 14 q^{78} + 124 q^{80} + 836 q^{81} - 82 q^{82} - 178 q^{83} - 30 q^{85} - 268 q^{86} - 154 q^{87} - 258 q^{88} - 266 q^{90} - 344 q^{91} + 188 q^{92} - 32 q^{93} - 48 q^{95} - 176 q^{96} - 86 q^{97} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{110}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.55775 1.64937i −1.10150 1.16628i −0.984904 0.173103i \(-0.944621\pi\)
−0.116594 0.993180i \(-0.537198\pi\)
\(3\) 0.240669 1.51952i 0.138950 0.877296i −0.815464 0.578808i \(-0.803518\pi\)
0.954414 0.298487i \(-0.0964821\pi\)
\(4\) −0.179660 + 3.14189i −0.0898299 + 1.57095i
\(5\) −1.15878 1.91239i −0.518223 0.855245i
\(6\) −2.88116 + 1.97009i −1.17623 + 0.804284i
\(7\) −2.21948 3.34750i −0.838885 1.26523i −0.962057 0.272849i \(-0.912034\pi\)
0.123172 0.992385i \(-0.460693\pi\)
\(8\) 1.99079 1.67586i 0.703850 0.592506i
\(9\) 0.602146 + 0.195649i 0.200715 + 0.0652164i
\(10\) −1.34914 + 4.89029i −0.426636 + 1.54645i
\(11\) −2.30886 + 2.38100i −0.696148 + 0.717898i
\(12\) 4.73093 + 1.02915i 1.36570 + 0.297090i
\(13\) −2.37862 + 4.07498i −0.659712 + 1.13020i 0.323237 + 0.946318i \(0.395229\pi\)
−0.982949 + 0.183878i \(0.941135\pi\)
\(14\) −2.06387 + 8.87532i −0.551592 + 2.37203i
\(15\) −3.18479 + 1.30054i −0.822310 + 0.335799i
\(16\) 0.387744 + 0.0444895i 0.0969360 + 0.0111224i
\(17\) 3.13335 4.44480i 0.759948 1.07802i −0.234430 0.972133i \(-0.575322\pi\)
0.994378 0.105889i \(-0.0337687\pi\)
\(18\) −0.615296 1.29794i −0.145027 0.305927i
\(19\) −4.24348 4.36644i −0.973522 1.00173i −0.999998 0.00208083i \(-0.999338\pi\)
0.0264760 0.999649i \(-0.491571\pi\)
\(20\) 6.21670 3.29719i 1.39010 0.737274i
\(21\) −5.62075 + 2.56691i −1.22655 + 0.560146i
\(22\) 7.52379 + 0.0991658i 1.60408 + 0.0211422i
\(23\) 1.32260 + 3.54604i 0.275782 + 0.739400i 0.998819 + 0.0485908i \(0.0154730\pi\)
−0.723037 + 0.690810i \(0.757254\pi\)
\(24\) −2.06739 3.42837i −0.422003 0.699814i
\(25\) −2.31445 + 4.43208i −0.462889 + 0.886416i
\(26\) 10.4265 2.42457i 2.04480 0.475498i
\(27\) 2.53755 4.98023i 0.488352 0.958445i
\(28\) 10.9162 6.37195i 2.06297 1.20419i
\(29\) 1.17599 2.22875i 0.218376 0.413869i −0.750696 0.660648i \(-0.770281\pi\)
0.969072 + 0.246780i \(0.0793724\pi\)
\(30\) 7.10620 + 3.22699i 1.29741 + 0.589165i
\(31\) −7.04383 + 5.75971i −1.26511 + 1.03447i −0.267630 + 0.963522i \(0.586240\pi\)
−0.997480 + 0.0709531i \(0.977396\pi\)
\(32\) −3.64958 4.87527i −0.645161 0.861834i
\(33\) 3.06231 + 4.08140i 0.533080 + 0.710480i
\(34\) −12.2121 + 1.75584i −2.09436 + 0.301123i
\(35\) −3.82981 + 8.12352i −0.647356 + 1.37313i
\(36\) −0.722890 + 1.85673i −0.120482 + 0.309455i
\(37\) −0.0736391 + 0.167538i −0.0121062 + 0.0275430i −0.921421 0.388567i \(-0.872970\pi\)
0.909314 + 0.416110i \(0.136607\pi\)
\(38\) −0.591592 + 13.8009i −0.0959689 + 2.23881i
\(39\) 5.61956 + 4.59509i 0.899850 + 0.735803i
\(40\) −5.51179 1.86520i −0.871490 0.294914i
\(41\) 5.18749 + 4.00016i 0.810150 + 0.624719i 0.929787 0.368098i \(-0.119991\pi\)
−0.119636 + 0.992818i \(0.538173\pi\)
\(42\) 12.9895 + 5.27210i 2.00433 + 0.813503i
\(43\) −2.58967 + 0.185217i −0.394922 + 0.0282453i −0.267388 0.963589i \(-0.586161\pi\)
−0.127533 + 0.991834i \(0.540706\pi\)
\(44\) −7.06603 7.68196i −1.06524 1.15810i
\(45\) −0.323600 1.37825i −0.0482394 0.205458i
\(46\) 3.78845 7.70532i 0.558577 1.13609i
\(47\) −1.05686 0.501013i −0.154159 0.0730802i 0.349721 0.936854i \(-0.386276\pi\)
−0.503880 + 0.863774i \(0.668095\pi\)
\(48\) 0.160921 0.578478i 0.0232269 0.0834961i
\(49\) −3.55474 + 8.41153i −0.507821 + 1.20165i
\(50\) 10.9155 3.08670i 1.54368 0.436526i
\(51\) −5.99987 5.83091i −0.840149 0.816491i
\(52\) −12.3758 8.20549i −1.71621 1.13790i
\(53\) 6.89742 8.68538i 0.947434 1.19303i −0.0336474 0.999434i \(-0.510712\pi\)
0.981081 0.193596i \(-0.0620149\pi\)
\(54\) −12.1671 + 3.57259i −1.65574 + 0.486168i
\(55\) 7.22886 + 1.65638i 0.974739 + 0.223346i
\(56\) −10.0285 2.94462i −1.34011 0.393491i
\(57\) −7.65617 + 5.39720i −1.01408 + 0.714876i
\(58\) −5.50795 + 1.53220i −0.723229 + 0.201187i
\(59\) 2.48878 1.91914i 0.324012 0.249850i −0.435727 0.900079i \(-0.643509\pi\)
0.759739 + 0.650229i \(0.225327\pi\)
\(60\) −3.51399 10.2399i −0.453654 1.32197i
\(61\) 6.52391 0.186373i 0.835301 0.0238626i 0.391706 0.920090i \(-0.371885\pi\)
0.443594 + 0.896228i \(0.353703\pi\)
\(62\) 20.4725 + 2.64570i 2.60001 + 0.336004i
\(63\) −0.681517 2.44992i −0.0858631 0.308661i
\(64\) −2.22289 + 12.8448i −0.277861 + 1.60561i
\(65\) 10.5492 0.173166i 1.30847 0.0214786i
\(66\) 1.96142 11.4087i 0.241435 1.40431i
\(67\) 0.0206648 + 0.0112838i 0.00252460 + 0.00137854i 0.480511 0.876989i \(-0.340451\pi\)
−0.477986 + 0.878367i \(0.658633\pi\)
\(68\) 13.4021 + 10.6432i 1.62525 + 1.29068i
\(69\) 5.70659 1.15631i 0.686993 0.139203i
\(70\) 19.3646 6.33765i 2.31451 0.757495i
\(71\) −3.38233 + 1.66298i −0.401409 + 0.197359i −0.630749 0.775987i \(-0.717252\pi\)
0.229340 + 0.973346i \(0.426343\pi\)
\(72\) 1.52663 0.619617i 0.179915 0.0730226i
\(73\) −10.5145 2.92492i −1.23063 0.342336i −0.409096 0.912491i \(-0.634156\pi\)
−0.821537 + 0.570155i \(0.806883\pi\)
\(74\) 0.391044 0.139524i 0.0454579 0.0162194i
\(75\) 6.17763 + 4.58351i 0.713331 + 0.529258i
\(76\) 14.4813 12.5481i 1.66112 1.43936i
\(77\) 13.0949 + 2.44432i 1.49230 + 0.278557i
\(78\) −1.17487 16.4268i −0.133027 1.85996i
\(79\) −3.02409 + 1.27799i −0.340237 + 0.143785i −0.552692 0.833385i \(-0.686399\pi\)
0.212455 + 0.977171i \(0.431854\pi\)
\(80\) −0.364230 0.793070i −0.0407222 0.0886680i
\(81\) −5.42020 3.93801i −0.602245 0.437556i
\(82\) −1.48308 14.7874i −0.163779 1.63299i
\(83\) 5.39626 + 0.231317i 0.592316 + 0.0253903i 0.337060 0.941483i \(-0.390567\pi\)
0.255256 + 0.966873i \(0.417840\pi\)
\(84\) −7.05513 18.1210i −0.769778 1.97716i
\(85\) −12.1310 0.841618i −1.31580 0.0912863i
\(86\) 4.33956 + 3.98281i 0.467947 + 0.429478i
\(87\) −3.10361 2.32333i −0.332742 0.249088i
\(88\) −0.606235 + 8.60940i −0.0646248 + 0.917765i
\(89\) 2.33214 + 0.335311i 0.247206 + 0.0355429i 0.264804 0.964302i \(-0.414693\pi\)
−0.0175977 + 0.999845i \(0.505602\pi\)
\(90\) −1.76916 + 2.68071i −0.186486 + 0.282572i
\(91\) 18.9203 1.08190i 1.98339 0.113414i
\(92\) −11.3789 + 3.51840i −1.18633 + 0.366818i
\(93\) 7.05678 + 12.0894i 0.731754 + 1.25362i
\(94\) 0.819971 + 2.52361i 0.0845736 + 0.260291i
\(95\) −3.43305 + 13.1749i −0.352223 + 1.35172i
\(96\) −8.28642 + 4.37229i −0.845729 + 0.446245i
\(97\) −1.65298 + 6.67483i −0.167834 + 0.677726i 0.825692 + 0.564122i \(0.190785\pi\)
−0.993526 + 0.113605i \(0.963760\pi\)
\(98\) 19.4112 7.23999i 1.96082 0.731349i
\(99\) −1.85611 + 0.981983i −0.186546 + 0.0986930i
\(100\) −13.5093 8.06800i −1.35093 0.806800i
\(101\) −13.3177 9.10644i −1.32517 0.906125i −0.325937 0.945392i \(-0.605680\pi\)
−0.999229 + 0.0392667i \(0.987498\pi\)
\(102\) −0.271040 + 18.9791i −0.0268369 + 1.87921i
\(103\) −15.4440 + 7.32132i −1.52174 + 0.721391i −0.991937 0.126730i \(-0.959552\pi\)
−0.529801 + 0.848122i \(0.677734\pi\)
\(104\) 2.09376 + 12.0987i 0.205310 + 1.18637i
\(105\) 11.4222 + 7.77455i 1.11469 + 0.758719i
\(106\) −25.0699 + 2.15326i −2.43501 + 0.209143i
\(107\) −16.8959 + 10.5205i −1.63338 + 1.01705i −0.672501 + 0.740097i \(0.734780\pi\)
−0.960883 + 0.276955i \(0.910675\pi\)
\(108\) 15.1914 + 8.86746i 1.46180 + 0.853272i
\(109\) −1.42118 + 0.913334i −0.136124 + 0.0874816i −0.606930 0.794755i \(-0.707599\pi\)
0.470806 + 0.882237i \(0.343963\pi\)
\(110\) −8.52880 14.5033i −0.813189 1.38284i
\(111\) 0.236855 + 0.152217i 0.0224812 + 0.0144478i
\(112\) −0.711662 1.39672i −0.0672457 0.131977i
\(113\) 7.35100 + 8.73240i 0.691524 + 0.821475i 0.991173 0.132574i \(-0.0423242\pi\)
−0.299649 + 0.954049i \(0.596870\pi\)
\(114\) 20.8284 + 4.22038i 1.95076 + 0.395275i
\(115\) 5.24879 6.63842i 0.489452 0.619036i
\(116\) 6.79122 + 4.09525i 0.630549 + 0.380235i
\(117\) −2.22955 + 1.98836i −0.206122 + 0.183824i
\(118\) −7.04228 1.11539i −0.648294 0.102680i
\(119\) −21.8333 0.623728i −2.00146 0.0571771i
\(120\) −4.16073 + 7.92638i −0.379821 + 0.723576i
\(121\) −0.338315 10.9948i −0.0307560 0.999527i
\(122\) −10.4700 10.4700i −0.947912 0.947912i
\(123\) 7.32679 6.91980i 0.660634 0.623937i
\(124\) −16.8309 23.1657i −1.51146 2.08035i
\(125\) 11.1578 0.709704i 0.997983 0.0634779i
\(126\) −2.97920 + 4.94045i −0.265408 + 0.440130i
\(127\) −4.17094 0.783311i −0.370111 0.0695076i −0.00378203 0.999993i \(-0.501204\pi\)
−0.366329 + 0.930485i \(0.619386\pi\)
\(128\) 14.4973 9.61210i 1.28139 0.849598i
\(129\) −0.341812 + 3.97964i −0.0300948 + 0.350388i
\(130\) −16.7187 17.1299i −1.46633 1.50239i
\(131\) 5.10346 7.94114i 0.445892 0.693821i −0.543449 0.839442i \(-0.682882\pi\)
0.989340 + 0.145621i \(0.0465182\pi\)
\(132\) −13.3735 + 8.88818i −1.16401 + 0.773617i
\(133\) −5.19832 + 23.8963i −0.450751 + 2.07207i
\(134\) −0.0135794 0.0516613i −0.00117308 0.00446286i
\(135\) −12.4646 + 0.918219i −1.07278 + 0.0790277i
\(136\) −1.21103 14.0997i −0.103845 1.20904i
\(137\) −4.93677 6.21649i −0.421777 0.531111i 0.525813 0.850600i \(-0.323761\pi\)
−0.947590 + 0.319490i \(0.896489\pi\)
\(138\) −10.7966 7.61106i −0.919071 0.647897i
\(139\) 2.21439 + 0.790093i 0.187822 + 0.0670148i 0.428286 0.903643i \(-0.359118\pi\)
−0.240464 + 0.970658i \(0.577299\pi\)
\(140\) −24.8352 13.4923i −2.09895 1.14031i
\(141\) −1.01565 + 1.48535i −0.0855334 + 0.125089i
\(142\) 8.01171 + 2.98821i 0.672328 + 0.250765i
\(143\) −4.21061 15.0721i −0.352109 1.26039i
\(144\) 0.224774 + 0.102651i 0.0187312 + 0.00855425i
\(145\) −5.62495 + 0.333688i −0.467127 + 0.0277113i
\(146\) 11.5548 + 21.8987i 0.956278 + 1.81235i
\(147\) 11.9260 + 7.42590i 0.983639 + 0.612478i
\(148\) −0.513156 0.261466i −0.0421811 0.0214924i
\(149\) 0.0978692 0.372333i 0.00801775 0.0305027i −0.963018 0.269438i \(-0.913162\pi\)
0.971035 + 0.238935i \(0.0767984\pi\)
\(150\) −2.06330 17.3292i −0.168467 1.41492i
\(151\) 0.858635 + 15.0158i 0.0698748 + 1.22197i 0.824519 + 0.565835i \(0.191446\pi\)
−0.754644 + 0.656135i \(0.772190\pi\)
\(152\) −15.7654 1.58118i −1.27875 0.128251i
\(153\) 2.75635 2.06338i 0.222838 0.166814i
\(154\) −16.3669 25.4060i −1.31889 2.04727i
\(155\) 19.1771 + 6.79627i 1.54034 + 0.545890i
\(156\) −15.4469 + 16.8305i −1.23674 + 1.34752i
\(157\) −16.4072 + 7.21159i −1.30944 + 0.575547i −0.935965 0.352093i \(-0.885470\pi\)
−0.373475 + 0.927640i \(0.621834\pi\)
\(158\) 6.81867 + 2.99706i 0.542465 + 0.238433i
\(159\) −11.5376 12.5711i −0.914994 0.996951i
\(160\) −5.09433 + 12.6288i −0.402742 + 0.998393i
\(161\) 8.93486 12.2978i 0.704166 0.969201i
\(162\) 1.94809 + 15.0744i 0.153057 + 1.18435i
\(163\) 2.24525 5.53190i 0.175861 0.433291i −0.812975 0.582299i \(-0.802153\pi\)
0.988836 + 0.149008i \(0.0476079\pi\)
\(164\) −13.5000 + 15.5799i −1.05418 + 1.21658i
\(165\) 4.25666 10.5858i 0.331380 0.824101i
\(166\) −8.02451 9.26077i −0.622822 0.718775i
\(167\) −3.59340 + 1.22456i −0.278065 + 0.0947596i −0.458100 0.888901i \(-0.651470\pi\)
0.180035 + 0.983660i \(0.442379\pi\)
\(168\) −6.88795 + 14.5298i −0.531417 + 1.12100i
\(169\) −4.55508 8.06600i −0.350391 0.620461i
\(170\) 17.5090 + 21.3196i 1.34288 + 1.63514i
\(171\) −1.70091 3.45947i −0.130072 0.264552i
\(172\) −0.116672 8.16975i −0.00889613 0.622938i
\(173\) −5.78516 + 8.72538i −0.439838 + 0.663379i −0.984522 0.175263i \(-0.943922\pi\)
0.544684 + 0.838642i \(0.316650\pi\)
\(174\) 1.00261 + 8.73819i 0.0760080 + 0.662441i
\(175\) 19.9732 2.08932i 1.50983 0.157938i
\(176\) −1.00118 + 0.820499i −0.0754666 + 0.0618474i
\(177\) −2.31720 4.24363i −0.174171 0.318971i
\(178\) −3.07984 4.36890i −0.230844 0.327463i
\(179\) −1.37766 + 2.43952i −0.102971 + 0.182338i −0.917446 0.397861i \(-0.869753\pi\)
0.814475 + 0.580199i \(0.197025\pi\)
\(180\) 4.38845 0.769099i 0.327096 0.0573253i
\(181\) −0.283082 9.90918i −0.0210413 0.736543i −0.939800 0.341724i \(-0.888989\pi\)
0.918759 0.394819i \(-0.129193\pi\)
\(182\) −31.2576 29.5213i −2.31697 2.18826i
\(183\) 1.28690 9.95807i 0.0951305 0.736122i
\(184\) 8.57570 + 4.84292i 0.632209 + 0.357025i
\(185\) 0.405729 0.0533135i 0.0298298 0.00391969i
\(186\) 8.94727 30.4716i 0.656046 2.23429i
\(187\) 3.34859 + 17.7229i 0.244873 + 1.29603i
\(188\) 1.76400 3.23053i 0.128653 0.235611i
\(189\) −22.3033 + 2.55907i −1.62233 + 0.186145i
\(190\) 27.0782 14.8609i 1.96446 1.07812i
\(191\) −12.2647 + 12.6201i −0.887444 + 0.913158i −0.996726 0.0808525i \(-0.974236\pi\)
0.109282 + 0.994011i \(0.465145\pi\)
\(192\) 18.9830 + 6.46907i 1.36998 + 0.466865i
\(193\) −9.44045 23.2596i −0.679538 1.67426i −0.736980 0.675914i \(-0.763749\pi\)
0.0574422 0.998349i \(-0.481705\pi\)
\(194\) 13.5842 7.67136i 0.975290 0.550771i
\(195\) 2.27574 16.0715i 0.162969 1.15090i
\(196\) −25.7895 12.6798i −1.84211 0.905702i
\(197\) −25.8004 1.84528i −1.83820 0.131471i −0.891384 0.453248i \(-0.850265\pi\)
−0.946815 + 0.321777i \(0.895720\pi\)
\(198\) 4.51102 + 1.53174i 0.320584 + 0.108856i
\(199\) −11.2477 9.74619i −0.797329 0.690889i 0.157672 0.987491i \(-0.449601\pi\)
−0.955001 + 0.296602i \(0.904146\pi\)
\(200\) 2.81998 + 12.7020i 0.199402 + 0.898169i
\(201\) 0.0221194 0.0286849i 0.00156018 0.00202328i
\(202\) 5.72584 + 36.1515i 0.402869 + 2.54361i
\(203\) −10.0708 + 1.01004i −0.706833 + 0.0708912i
\(204\) 19.3980 17.8033i 1.35813 1.24648i
\(205\) 1.63867 14.5558i 0.114449 1.01662i
\(206\) 36.1335 + 14.0680i 2.51754 + 0.980167i
\(207\) 0.102622 + 2.39400i 0.00713269 + 0.166395i
\(208\) −1.10359 + 1.47423i −0.0765203 + 0.102219i
\(209\) 20.1941 0.0222223i 1.39686 0.00153715i
\(210\) −4.96975 30.9502i −0.342945 2.13577i
\(211\) −4.88241 5.97094i −0.336119 0.411056i 0.578301 0.815824i \(-0.303716\pi\)
−0.914420 + 0.404767i \(0.867352\pi\)
\(212\) 26.0493 + 23.2314i 1.78908 + 1.59554i
\(213\) 1.71291 + 5.53975i 0.117367 + 0.379577i
\(214\) 43.6717 + 11.4793i 2.98534 + 0.784708i
\(215\) 3.35508 + 4.73783i 0.228814 + 0.323117i
\(216\) −3.29443 14.1672i −0.224158 0.963954i
\(217\) 34.9143 + 10.7956i 2.37013 + 0.732855i
\(218\) 3.72027 + 0.921300i 0.251968 + 0.0623983i
\(219\) −6.97500 + 15.2731i −0.471327 + 1.03206i
\(220\) −6.50289 + 22.4147i −0.438425 + 1.51120i
\(221\) 10.6594 + 23.3408i 0.717029 + 1.57007i
\(222\) −0.117898 0.627778i −0.00791279 0.0421337i
\(223\) −11.0305 0.157525i −0.738655 0.0105487i −0.356058 0.934464i \(-0.615879\pi\)
−0.382597 + 0.923915i \(0.624970\pi\)
\(224\) −8.21977 + 23.0375i −0.549207 + 1.53926i
\(225\) −2.26077 + 2.21594i −0.150718 + 0.147729i
\(226\) 2.95195 25.7275i 0.196361 1.71137i
\(227\) −17.0760 14.3747i −1.13337 0.954083i −0.134055 0.990974i \(-0.542800\pi\)
−0.999319 + 0.0368911i \(0.988255\pi\)
\(228\) −15.5819 25.0245i −1.03194 1.65729i
\(229\) 22.0809 5.80404i 1.45915 0.383542i 0.562687 0.826670i \(-0.309768\pi\)
0.896458 + 0.443128i \(0.146131\pi\)
\(230\) −19.1255 + 1.68381i −1.26110 + 0.111027i
\(231\) 6.86572 19.3096i 0.451731 1.27048i
\(232\) −1.39393 6.40777i −0.0915157 0.420691i
\(233\) −16.0178 + 8.16148i −1.04936 + 0.534676i −0.891611 0.452803i \(-0.850424\pi\)
−0.157750 + 0.987479i \(0.550424\pi\)
\(234\) 6.75263 + 0.579984i 0.441433 + 0.0379147i
\(235\) 0.266542 + 2.60169i 0.0173873 + 0.169716i
\(236\) 5.58259 + 8.16427i 0.363395 + 0.531449i
\(237\) 1.21413 + 4.90274i 0.0788664 + 0.318467i
\(238\) 32.9822 + 36.9829i 2.13792 + 2.39725i
\(239\) −13.5697 + 9.85898i −0.877753 + 0.637725i −0.932656 0.360767i \(-0.882515\pi\)
0.0549033 + 0.998492i \(0.482515\pi\)
\(240\) −1.29275 + 0.362588i −0.0834464 + 0.0234050i
\(241\) 1.08424i 0.0698421i −0.999390 0.0349211i \(-0.988882\pi\)
0.999390 0.0349211i \(-0.0111180\pi\)
\(242\) −17.6075 + 17.6852i −1.13185 + 1.13685i
\(243\) 4.56863 4.56863i 0.293078 0.293078i
\(244\) −0.586520 + 20.5309i −0.0375481 + 1.31436i
\(245\) 20.2053 2.94909i 1.29087 0.188411i
\(246\) −22.8266 1.30527i −1.45537 0.0832213i
\(247\) 27.8868 6.90598i 1.77440 0.439417i
\(248\) −4.37031 + 23.2709i −0.277515 + 1.47770i
\(249\) 1.65020 8.14406i 0.104577 0.516109i
\(250\) −18.5516 17.2978i −1.17331 1.09401i
\(251\) −0.903086 + 2.77941i −0.0570023 + 0.175435i −0.975504 0.219982i \(-0.929400\pi\)
0.918502 + 0.395417i \(0.129400\pi\)
\(252\) 7.81983 1.70110i 0.492603 0.107159i
\(253\) −11.4968 5.03820i −0.722800 0.316749i
\(254\) 5.20533 + 8.09965i 0.326611 + 0.508217i
\(255\) −4.19842 + 18.2308i −0.262915 + 1.14166i
\(256\) −13.0432 3.03306i −0.815198 0.189566i
\(257\) 14.0402 16.6786i 0.875804 1.04039i −0.123044 0.992401i \(-0.539266\pi\)
0.998848 0.0479841i \(-0.0152797\pi\)
\(258\) 7.09637 5.63552i 0.441801 0.350852i
\(259\) 0.724273 0.125340i 0.0450041 0.00778827i
\(260\) −1.35121 + 33.1757i −0.0837983 + 2.05747i
\(261\) 1.14417 1.11195i 0.0708225 0.0688281i
\(262\) −21.0478 + 3.95282i −1.30034 + 0.244206i
\(263\) 5.99798 16.0812i 0.369852 0.991611i −0.610091 0.792331i \(-0.708867\pi\)
0.979943 0.199279i \(-0.0638601\pi\)
\(264\) 12.9363 + 2.99320i 0.796172 + 0.184219i
\(265\) −24.6024 3.12607i −1.51132 0.192033i
\(266\) 47.5115 28.6505i 2.91312 1.75668i
\(267\) 1.07078 3.46304i 0.0655310 0.211934i
\(268\) −0.0391651 + 0.0628992i −0.00239239 + 0.00384218i
\(269\) 9.72175 3.15879i 0.592746 0.192595i 0.00274336 0.999996i \(-0.499127\pi\)
0.590002 + 0.807401i \(0.299127\pi\)
\(270\) 20.9312 + 19.1284i 1.27383 + 1.16412i
\(271\) 14.5908 + 7.69877i 0.886327 + 0.467667i 0.847020 0.531561i \(-0.178394\pi\)
0.0393066 + 0.999227i \(0.487485\pi\)
\(272\) 1.41268 1.58404i 0.0856566 0.0960467i
\(273\) 2.90955 29.0102i 0.176094 1.75577i
\(274\) −2.56304 + 17.8263i −0.154839 + 1.07693i
\(275\) −5.20905 15.7438i −0.314117 0.949384i
\(276\) 2.60774 + 18.1372i 0.156968 + 1.09173i
\(277\) −5.41832 + 0.232262i −0.325555 + 0.0139553i −0.205032 0.978755i \(-0.565730\pi\)
−0.120523 + 0.992711i \(0.538457\pi\)
\(278\) −2.14632 4.88313i −0.128727 0.292871i
\(279\) −5.36830 + 2.09007i −0.321392 + 0.125129i
\(280\) 5.98955 + 22.5905i 0.357944 + 1.35004i
\(281\) −12.2479 + 14.9786i −0.730649 + 0.893546i −0.997534 0.0701821i \(-0.977642\pi\)
0.266885 + 0.963728i \(0.414006\pi\)
\(282\) 4.03202 0.638610i 0.240104 0.0380287i
\(283\) 29.2675 3.78230i 1.73978 0.224835i 0.808333 0.588725i \(-0.200370\pi\)
0.931442 + 0.363890i \(0.118552\pi\)
\(284\) −4.61723 10.9257i −0.273982 0.648320i
\(285\) 19.1934 + 8.38738i 1.13692 + 0.496826i
\(286\) −18.3004 + 30.4234i −1.08212 + 1.79897i
\(287\) 1.87696 26.2434i 0.110794 1.54910i
\(288\) −1.24374 3.64966i −0.0732880 0.215058i
\(289\) −4.22551 11.8428i −0.248560 0.696637i
\(290\) 9.31266 + 8.75784i 0.546858 + 0.514278i
\(291\) 9.74473 + 4.11816i 0.571246 + 0.241411i
\(292\) 11.0788 32.5100i 0.648339 1.90251i
\(293\) 18.9300 0.270338i 1.10590 0.0157933i 0.541055 0.840987i \(-0.318025\pi\)
0.564849 + 0.825194i \(0.308934\pi\)
\(294\) −6.32966 31.2381i −0.369153 1.82184i
\(295\) −6.55409 2.53565i −0.381594 0.147631i
\(296\) 0.134170 + 0.456941i 0.00779848 + 0.0265592i
\(297\) 5.99906 + 17.5406i 0.348101 + 1.01781i
\(298\) −0.766572 + 0.418580i −0.0444063 + 0.0242477i
\(299\) −17.5960 3.04511i −1.01760 0.176103i
\(300\) −15.5108 + 18.5860i −0.895515 + 1.07306i
\(301\) 6.36774 + 8.25783i 0.367031 + 0.475974i
\(302\) 23.4291 24.8071i 1.34820 1.42749i
\(303\) −17.0426 + 18.0450i −0.979072 + 1.03666i
\(304\) −1.45113 1.88185i −0.0832277 0.107932i
\(305\) −7.91621 12.2603i −0.453281 0.702021i
\(306\) −7.69700 1.33202i −0.440008 0.0761464i
\(307\) 21.9204 11.9694i 1.25106 0.683132i 0.289358 0.957221i \(-0.406558\pi\)
0.961704 + 0.274089i \(0.0883764\pi\)
\(308\) −10.0324 + 40.7035i −0.571650 + 2.31930i
\(309\) 7.40803 + 25.2294i 0.421428 + 1.43525i
\(310\) −18.6635 42.2170i −1.06002 2.39777i
\(311\) −2.53906 12.5308i −0.143977 0.710555i −0.985411 0.170194i \(-0.945561\pi\)
0.841433 0.540361i \(-0.181712\pi\)
\(312\) 18.8881 0.269740i 1.06933 0.0152710i
\(313\) 5.03970 14.7886i 0.284861 0.835904i −0.706844 0.707369i \(-0.749882\pi\)
0.991705 0.128535i \(-0.0410273\pi\)
\(314\) 37.4530 + 15.8278i 2.11360 + 0.893213i
\(315\) −3.89547 + 4.14225i −0.219485 + 0.233389i
\(316\) −3.47200 9.73097i −0.195316 0.547410i
\(317\) −6.02705 17.6860i −0.338513 0.993342i −0.975029 0.222079i \(-0.928716\pi\)
0.636516 0.771264i \(-0.280375\pi\)
\(318\) −2.76162 + 38.6125i −0.154864 + 2.16528i
\(319\) 2.59145 + 7.94591i 0.145094 + 0.444886i
\(320\) 27.1401 10.6334i 1.51718 0.594423i
\(321\) 11.9198 + 28.2055i 0.665296 + 1.57428i
\(322\) −34.2019 + 4.41998i −1.90600 + 0.246316i
\(323\) −32.7043 + 5.17984i −1.81971 + 0.288214i
\(324\) 13.3466 16.3222i 0.741477 0.906788i
\(325\) −12.5554 19.9736i −0.696451 1.10793i
\(326\) −12.6217 + 4.91407i −0.699051 + 0.272165i
\(327\) 1.04580 + 2.37932i 0.0578328 + 0.131577i
\(328\) 17.0309 0.730049i 0.940375 0.0403102i
\(329\) 0.668544 + 4.64983i 0.0368580 + 0.256353i
\(330\) −24.0907 + 9.46920i −1.32615 + 0.521262i
\(331\) −0.268005 + 1.86402i −0.0147309 + 0.102456i −0.995860 0.0908963i \(-0.971027\pi\)
0.981129 + 0.193352i \(0.0619359\pi\)
\(332\) −1.69626 + 16.9129i −0.0930945 + 0.928216i
\(333\) −0.0771201 + 0.0864748i −0.00422616 + 0.00473879i
\(334\) 7.61739 + 4.01928i 0.416805 + 0.219925i
\(335\) −0.00236695 0.0525945i −0.000129320 0.00287354i
\(336\) −2.29361 + 0.745240i −0.125127 + 0.0406562i
\(337\) −10.9273 + 17.5492i −0.595247 + 0.955965i 0.403906 + 0.914801i \(0.367652\pi\)
−0.999152 + 0.0411649i \(0.986893\pi\)
\(338\) −6.20815 + 20.0779i −0.337679 + 1.09209i
\(339\) 15.0382 9.06838i 0.816764 0.492527i
\(340\) 4.82373 37.9632i 0.261604 2.05884i
\(341\) 2.54936 30.0697i 0.138056 1.62837i
\(342\) −3.05636 + 8.19443i −0.165269 + 0.443104i
\(343\) 8.41521 1.58039i 0.454379 0.0853332i
\(344\) −4.84510 + 4.70866i −0.261230 + 0.253874i
\(345\) −8.82400 9.57330i −0.475068 0.515409i
\(346\) 23.4033 4.05009i 1.25817 0.217734i
\(347\) 5.50792 4.37407i 0.295680 0.234812i −0.462870 0.886426i \(-0.653180\pi\)
0.758551 + 0.651614i \(0.225908\pi\)
\(348\) 7.85726 9.33380i 0.421193 0.500344i
\(349\) 21.0552 + 4.89617i 1.12706 + 0.262086i 0.748268 0.663397i \(-0.230886\pi\)
0.378790 + 0.925483i \(0.376340\pi\)
\(350\) −34.5594 29.6887i −1.84728 1.58693i
\(351\) 14.2584 + 22.1866i 0.761059 + 1.18423i
\(352\) 20.0344 + 2.56667i 1.06784 + 0.136804i
\(353\) 12.4063 2.69883i 0.660322 0.143644i 0.130097 0.991501i \(-0.458471\pi\)
0.530225 + 0.847857i \(0.322108\pi\)
\(354\) −3.38971 + 10.4325i −0.180161 + 0.554479i
\(355\) 7.09965 + 4.54129i 0.376810 + 0.241027i
\(356\) −1.47250 + 7.26709i −0.0780425 + 0.385155i
\(357\) −6.20237 + 33.0261i −0.328264 + 1.74793i
\(358\) 6.16972 1.52789i 0.326080 0.0807516i
\(359\) 15.4633 + 0.884222i 0.816120 + 0.0466674i 0.460162 0.887835i \(-0.347791\pi\)
0.355957 + 0.934502i \(0.384155\pi\)
\(360\) −2.95398 2.20150i −0.155688 0.116029i
\(361\) −0.516092 + 18.0656i −0.0271628 + 0.950820i
\(362\) −15.9030 + 15.9030i −0.835841 + 0.835841i
\(363\) −16.7882 2.13202i −0.881154 0.111902i
\(364\) 59.6399i 3.12598i
\(365\) 6.59047 + 23.4972i 0.344961 + 1.22990i
\(366\) −18.4292 + 13.3896i −0.963312 + 0.699887i
\(367\) −4.52482 5.07368i −0.236194 0.264844i 0.616383 0.787447i \(-0.288597\pi\)
−0.852576 + 0.522603i \(0.824961\pi\)
\(368\) 0.355071 + 1.43380i 0.0185093 + 0.0747419i
\(369\) 2.34100 + 3.42361i 0.121868 + 0.178226i
\(370\) −0.719959 0.586149i −0.0374289 0.0304724i
\(371\) −44.3830 3.81206i −2.30425 0.197912i
\(372\) −39.2515 + 19.9996i −2.03510 + 1.03693i
\(373\) 7.19614 + 33.0801i 0.372602 + 1.71282i 0.656805 + 0.754061i \(0.271908\pi\)
−0.284203 + 0.958764i \(0.591729\pi\)
\(374\) 24.0154 33.1310i 1.24181 1.71316i
\(375\) 1.60692 17.1253i 0.0829809 0.884347i
\(376\) −2.94362 + 0.773741i −0.151805 + 0.0399027i
\(377\) 6.28488 + 10.0935i 0.323688 + 0.519842i
\(378\) 38.9639 + 32.8001i 2.00409 + 1.68706i
\(379\) 0.875257 7.62822i 0.0449589 0.391835i −0.951493 0.307671i \(-0.900451\pi\)
0.996452 0.0841648i \(-0.0268222\pi\)
\(380\) −40.7774 13.1533i −2.09184 0.674749i
\(381\) −2.19407 + 6.14932i −0.112406 + 0.315039i
\(382\) 39.9206 + 0.570104i 2.04252 + 0.0291691i
\(383\) −0.342205 1.82216i −0.0174858 0.0931079i 0.972972 0.230922i \(-0.0741742\pi\)
−0.990458 + 0.137814i \(0.955992\pi\)
\(384\) −11.1168 24.3423i −0.567299 1.24221i
\(385\) −10.4996 27.8749i −0.535109 1.42063i
\(386\) −23.6579 + 51.8035i −1.20415 + 2.63673i
\(387\) −1.59560 0.395140i −0.0811089 0.0200861i
\(388\) −20.6746 6.39268i −1.04959 0.324539i
\(389\) −2.74255 11.7939i −0.139053 0.597974i −0.996514 0.0834250i \(-0.973414\pi\)
0.857461 0.514549i \(-0.172040\pi\)
\(390\) −30.0529 + 21.2818i −1.52179 + 1.07765i
\(391\) 19.9056 + 5.23227i 1.00667 + 0.264607i
\(392\) 7.01981 + 22.7029i 0.354554 + 1.14667i
\(393\) −10.8385 9.66600i −0.546730 0.487585i
\(394\) 37.1470 + 45.4289i 1.87144 + 2.28868i
\(395\) 5.94828 + 4.30232i 0.299290 + 0.216473i
\(396\) −2.75181 6.00813i −0.138284 0.301920i
\(397\) −11.4628 + 15.3125i −0.575300 + 0.768510i −0.989942 0.141474i \(-0.954816\pi\)
0.414642 + 0.909985i \(0.363907\pi\)
\(398\) 1.44604 + 33.7338i 0.0724833 + 1.69092i
\(399\) 35.0598 + 13.6500i 1.75519 + 0.683356i
\(400\) −1.09459 + 1.61555i −0.0547297 + 0.0807773i
\(401\) 17.8507 16.3832i 0.891420 0.818138i −0.0926905 0.995695i \(-0.529547\pi\)
0.984111 + 0.177557i \(0.0568194\pi\)
\(402\) −0.0817685 + 0.00820090i −0.00407824 + 0.000409024i
\(403\) −6.71608 42.4037i −0.334552 2.11228i
\(404\) 31.0041 40.2069i 1.54251 2.00037i
\(405\) −1.25016 + 14.9288i −0.0621208 + 0.741819i
\(406\) 17.3538 + 15.0371i 0.861254 + 0.746281i
\(407\) −0.228885 0.562156i −0.0113454 0.0278651i
\(408\) −21.7163 1.55318i −1.07512 0.0768938i
\(409\) −4.77483 2.34763i −0.236100 0.116083i 0.319337 0.947641i \(-0.396540\pi\)
−0.555437 + 0.831559i \(0.687449\pi\)
\(410\) −26.5606 + 19.9716i −1.31173 + 0.986326i
\(411\) −10.6342 + 6.00542i −0.524547 + 0.296225i
\(412\) −20.2281 49.8386i −0.996569 2.45537i
\(413\) −11.9481 4.07170i −0.587928 0.200355i
\(414\) 3.78874 3.89852i 0.186206 0.191602i
\(415\) −5.81072 10.5878i −0.285237 0.519733i
\(416\) 28.5476 3.27553i 1.39966 0.160596i
\(417\) 1.73350 3.17466i 0.0848898 0.155464i
\(418\) −31.4941 33.2730i −1.54043 1.62744i
\(419\) 4.97974 16.9594i 0.243276 0.828523i −0.743818 0.668382i \(-0.766987\pi\)
0.987094 0.160141i \(-0.0511948\pi\)
\(420\) −26.4789 + 34.4904i −1.29204 + 1.68296i
\(421\) 19.1453 + 10.8118i 0.933085 + 0.526937i 0.881736 0.471744i \(-0.156375\pi\)
0.0513490 + 0.998681i \(0.483648\pi\)
\(422\) −2.24271 + 17.3542i −0.109174 + 0.844788i
\(423\) −0.538362 0.508457i −0.0261761 0.0247220i
\(424\) −0.824175 28.8499i −0.0400255 1.40107i
\(425\) 12.4477 + 24.1745i 0.603804 + 1.17263i
\(426\) 6.46882 11.4548i 0.313415 0.554987i
\(427\) −15.1036 21.4251i −0.730913 1.03683i
\(428\) −30.0186 54.9750i −1.45101 2.65732i
\(429\) −23.9157 + 2.77074i −1.15466 + 0.133772i
\(430\) 2.58807 12.9141i 0.124808 0.622775i
\(431\) −2.80416 24.4394i −0.135072 1.17720i −0.867882 0.496771i \(-0.834519\pi\)
0.732810 0.680433i \(-0.238208\pi\)
\(432\) 1.20549 1.81816i 0.0579991 0.0874762i
\(433\) 0.483033 + 33.8236i 0.0232131 + 1.62546i 0.594073 + 0.804411i \(0.297519\pi\)
−0.570860 + 0.821047i \(0.693390\pi\)
\(434\) −36.5818 74.4035i −1.75598 3.57148i
\(435\) −0.846702 + 8.62754i −0.0405963 + 0.413659i
\(436\) −2.61427 4.62927i −0.125201 0.221702i
\(437\) 9.87112 20.8226i 0.472200 0.996082i
\(438\) 36.0564 12.2874i 1.72284 0.587113i
\(439\) −16.7578 19.3395i −0.799804 0.923024i 0.198566 0.980088i \(-0.436372\pi\)
−0.998371 + 0.0570640i \(0.981826\pi\)
\(440\) 17.1670 8.81707i 0.818404 0.420337i
\(441\) −3.78619 + 4.36949i −0.180295 + 0.208071i
\(442\) 21.8930 53.9406i 1.04135 2.56569i
\(443\) −3.54908 27.4628i −0.168622 1.30480i −0.831270 0.555868i \(-0.812386\pi\)
0.662649 0.748931i \(-0.269432\pi\)
\(444\) −0.520803 + 0.716824i −0.0247162 + 0.0340190i
\(445\) −2.06120 4.84851i −0.0977102 0.229841i
\(446\) 16.9229 + 18.4387i 0.801324 + 0.873100i
\(447\) −0.542214 0.238323i −0.0256458 0.0112723i
\(448\) 47.9317 21.0678i 2.26456 0.995358i
\(449\) −12.2118 + 13.3057i −0.576312 + 0.627933i −0.954649 0.297735i \(-0.903769\pi\)
0.378337 + 0.925668i \(0.376496\pi\)
\(450\) 7.17663 + 0.276960i 0.338310 + 0.0130560i
\(451\) −21.5016 + 3.11561i −1.01247 + 0.146709i
\(452\) −28.7569 + 21.5272i −1.35261 + 1.01255i
\(453\) 23.0235 + 2.30912i 1.08174 + 0.108492i
\(454\) 2.89095 + 50.5569i 0.135679 + 2.37275i
\(455\) −23.9935 34.9292i −1.12483 1.63751i
\(456\) −6.19688 + 23.5754i −0.290195 + 1.10402i
\(457\) −1.09125 0.556019i −0.0510465 0.0260095i 0.428281 0.903646i \(-0.359119\pi\)
−0.479327 + 0.877636i \(0.659119\pi\)
\(458\) −43.9696 27.3783i −2.05456 1.27931i
\(459\) −14.1851 26.8837i −0.662102 1.25482i
\(460\) 19.9142 + 17.6838i 0.928505 + 0.824511i
\(461\) −6.58166 3.00574i −0.306538 0.139991i 0.256206 0.966622i \(-0.417527\pi\)
−0.562745 + 0.826631i \(0.690255\pi\)
\(462\) −42.5439 + 18.7555i −1.97932 + 0.872585i
\(463\) −37.9317 14.1478i −1.76284 0.657504i −0.999940 0.0109835i \(-0.996504\pi\)
−0.762897 0.646520i \(-0.776223\pi\)
\(464\) 0.555140 0.811866i 0.0257717 0.0376899i
\(465\) 14.9424 27.5043i 0.692937 1.27548i
\(466\) 38.4131 + 13.7058i 1.77945 + 0.634907i
\(467\) 4.56556 + 3.21848i 0.211269 + 0.148933i 0.676975 0.736006i \(-0.263291\pi\)
−0.465706 + 0.884939i \(0.654200\pi\)
\(468\) −5.84665 7.36222i −0.270261 0.340319i
\(469\) −0.00809251 0.0942194i −0.000373677 0.00435065i
\(470\) 3.87595 4.49242i 0.178784 0.207220i
\(471\) 7.00946 + 26.6667i 0.322979 + 1.22874i
\(472\) 1.73843 7.99145i 0.0800179 0.367836i
\(473\) 5.53820 6.59365i 0.254647 0.303176i
\(474\) 6.19514 9.63982i 0.284552 0.442772i
\(475\) 29.1737 8.70157i 1.33858 0.399256i
\(476\) 5.88226 68.4859i 0.269613 3.13905i
\(477\) 5.85255 3.88040i 0.267970 0.177671i
\(478\) 37.3994 + 7.02368i 1.71061 + 0.321256i
\(479\) −2.75525 + 4.56906i −0.125890 + 0.208766i −0.912909 0.408164i \(-0.866169\pi\)
0.787018 + 0.616930i \(0.211624\pi\)
\(480\) 17.9637 + 10.7803i 0.819926 + 0.492051i
\(481\) −0.507553 0.698587i −0.0231424 0.0318528i
\(482\) −1.78832 + 1.68898i −0.0814557 + 0.0769309i
\(483\) −16.5364 16.5364i −0.752432 0.752432i
\(484\) 34.6052 + 0.912373i 1.57297 + 0.0414715i
\(485\) 14.6803 4.57355i 0.666598 0.207674i
\(486\) −14.6522 0.418579i −0.664636 0.0189871i
\(487\) 10.7870 + 1.70850i 0.488807 + 0.0774194i 0.395973 0.918262i \(-0.370407\pi\)
0.0928340 + 0.995682i \(0.470407\pi\)
\(488\) 12.6754 11.3042i 0.573788 0.511717i
\(489\) −7.86547 4.74305i −0.355689 0.214488i
\(490\) −36.3390 28.7321i −1.64163 1.29798i
\(491\) 14.5125 + 2.94062i 0.654942 + 0.132708i 0.514648 0.857402i \(-0.327923\pi\)
0.140294 + 0.990110i \(0.455195\pi\)
\(492\) 20.4249 + 24.2632i 0.920826 + 1.09387i
\(493\) −6.22156 12.2105i −0.280205 0.549933i
\(494\) −54.8313 35.2379i −2.46698 1.58543i
\(495\) 4.02876 + 2.41170i 0.181079 + 0.108398i
\(496\) −2.98745 + 1.91992i −0.134141 + 0.0862069i
\(497\) 13.0738 + 7.63139i 0.586442 + 0.342314i
\(498\) −16.0032 + 9.96463i −0.717120 + 0.446526i
\(499\) −9.84474 + 0.845565i −0.440711 + 0.0378527i −0.303811 0.952732i \(-0.598259\pi\)
−0.136900 + 0.990585i \(0.543714\pi\)
\(500\) 0.225207 + 35.1841i 0.0100716 + 1.57348i
\(501\) 0.995934 + 5.75496i 0.0444951 + 0.257112i
\(502\) 5.99107 2.84011i 0.267395 0.126760i
\(503\) −0.249437 + 17.4664i −0.0111218 + 0.778790i 0.915399 + 0.402547i \(0.131875\pi\)
−0.926521 + 0.376243i \(0.877216\pi\)
\(504\) −5.46248 3.73515i −0.243318 0.166377i
\(505\) −1.98266 + 36.0211i −0.0882274 + 1.60292i
\(506\) 9.59935 + 26.8108i 0.426743 + 1.19189i
\(507\) −13.3527 + 4.98031i −0.593015 + 0.221183i
\(508\) 3.21043 12.9639i 0.142440 0.575181i
\(509\) −4.65011 + 2.45361i −0.206112 + 0.108754i −0.566545 0.824031i \(-0.691720\pi\)
0.360432 + 0.932785i \(0.382629\pi\)
\(510\) 36.6095 21.4744i 1.62110 0.950900i
\(511\) 13.5456 + 41.6892i 0.599223 + 1.84422i
\(512\) −2.22220 3.80700i −0.0982082 0.168247i
\(513\) −32.5139 + 10.0534i −1.43553 + 0.443870i
\(514\) −49.3805 + 2.82368i −2.17808 + 0.124547i
\(515\) 31.8974 + 21.0510i 1.40557 + 0.927618i
\(516\) −12.4422 1.78892i −0.547737 0.0787526i
\(517\) 3.63306 1.35962i 0.159782 0.0597959i
\(518\) −1.33497 0.999346i −0.0586552 0.0439088i
\(519\) 11.8661 + 10.8906i 0.520864 + 0.478044i
\(520\) 20.7111 18.0238i 0.908243 0.790396i
\(521\) −0.964720 2.47786i −0.0422652 0.108557i 0.909149 0.416470i \(-0.136733\pi\)
−0.951414 + 0.307913i \(0.900369\pi\)
\(522\) −3.61636 0.155019i −0.158284 0.00678501i
\(523\) −2.06852 20.6246i −0.0904501 0.901849i −0.932191 0.361967i \(-0.882105\pi\)
0.841741 0.539882i \(-0.181531\pi\)
\(524\) 24.0333 + 17.4612i 1.04990 + 0.762797i
\(525\) 1.63216 30.8526i 0.0712334 1.34652i
\(526\) −35.8673 + 15.1576i −1.56389 + 0.660905i
\(527\) 3.52998 + 49.3556i 0.153768 + 2.14996i
\(528\) 1.00581 + 1.71878i 0.0437724 + 0.0748002i
\(529\) 6.55712 5.68178i 0.285092 0.247034i
\(530\) 33.1684 + 45.4482i 1.44075 + 1.97414i
\(531\) 1.87409 0.668673i 0.0813285 0.0290179i
\(532\) −74.1456 20.6257i −3.21462 0.894239i
\(533\) −28.6397 + 11.6241i −1.24052 + 0.503494i
\(534\) −7.37986 + 3.62843i −0.319358 + 0.157018i
\(535\) 39.6978 + 20.1205i 1.71629 + 0.869884i
\(536\) 0.0600493 0.0121676i 0.00259373 0.000525559i
\(537\) 3.37534 + 2.68050i 0.145657 + 0.115672i
\(538\) −20.3541 11.1142i −0.877528 0.479167i
\(539\) −11.8204 27.8849i −0.509143 1.20109i
\(540\) −0.645559 39.3274i −0.0277804 1.69238i
\(541\) 2.97422 17.1864i 0.127872 0.738899i −0.849535 0.527532i \(-0.823117\pi\)
0.977407 0.211367i \(-0.0677916\pi\)
\(542\) −10.0307 36.0584i −0.430855 1.54884i
\(543\) −15.1253 1.95468i −0.649090 0.0838832i
\(544\) −33.1050 + 0.945734i −1.41936 + 0.0405480i
\(545\) 3.39348 + 1.65948i 0.145361 + 0.0710844i
\(546\) −52.3809 + 40.3917i −2.24170 + 1.72861i
\(547\) 24.4593 6.80406i 1.04580 0.290921i 0.297809 0.954625i \(-0.403744\pi\)
0.747995 + 0.663705i \(0.231017\pi\)
\(548\) 20.4185 14.3940i 0.872234 0.614879i
\(549\) 3.96481 + 1.16417i 0.169214 + 0.0496857i
\(550\) −17.8529 + 33.1165i −0.761251 + 1.41209i
\(551\) −14.7220 + 4.32277i −0.627179 + 0.184156i
\(552\) 9.42282 11.8654i 0.401062 0.505026i
\(553\) 10.9900 + 7.28666i 0.467342 + 0.309860i
\(554\) 8.82348 + 8.57502i 0.374874 + 0.364318i
\(555\) 0.0166352 0.629344i 0.000706123 0.0267142i
\(556\) −2.88022 + 6.81543i −0.122149 + 0.289039i
\(557\) 3.88172 13.9540i 0.164474 0.591251i −0.834704 0.550699i \(-0.814361\pi\)
0.999177 0.0405519i \(-0.0129116\pi\)
\(558\) 11.8098 + 5.59852i 0.499948 + 0.237004i
\(559\) 5.40511 10.9934i 0.228612 0.464973i
\(560\) −1.84640 + 2.97946i −0.0780246 + 0.125905i
\(561\) 27.7363 0.822909i 1.17103 0.0347432i
\(562\) 43.7845 3.13153i 1.84694 0.132095i
\(563\) 6.03469 + 2.44932i 0.254332 + 0.103227i 0.499685 0.866207i \(-0.333449\pi\)
−0.245353 + 0.969434i \(0.578904\pi\)
\(564\) −4.48432 3.45793i −0.188824 0.145605i
\(565\) 8.18152 24.1769i 0.344199 1.01713i
\(566\) −51.8300 42.3812i −2.17858 1.78141i
\(567\) −1.15243 + 26.8844i −0.0483976 + 1.12904i
\(568\) −3.94659 + 8.97896i −0.165595 + 0.376749i
\(569\) −2.74112 + 7.04050i −0.114914 + 0.295153i −0.977561 0.210653i \(-0.932441\pi\)
0.862647 + 0.505806i \(0.168805\pi\)
\(570\) −16.0646 44.7225i −0.672872 1.87322i
\(571\) −4.79043 + 0.688760i −0.200473 + 0.0288237i −0.241820 0.970321i \(-0.577744\pi\)
0.0413466 + 0.999145i \(0.486835\pi\)
\(572\) 48.1113 10.5214i 2.01163 0.439923i
\(573\) 16.2248 + 21.6738i 0.677800 + 0.905434i
\(574\) −46.2090 + 37.7849i −1.92872 + 1.57711i
\(575\) −18.7774 2.34523i −0.783073 0.0978027i
\(576\) −3.85159 + 7.29957i −0.160483 + 0.304149i
\(577\) −8.13239 + 4.74699i −0.338556 + 0.197620i −0.663616 0.748073i \(-0.730979\pi\)
0.325060 + 0.945693i \(0.394615\pi\)
\(578\) −12.9509 + 25.4177i −0.538688 + 1.05723i
\(579\) −37.6155 + 8.74710i −1.56325 + 0.363517i
\(580\) −0.0378346 17.7329i −0.00157100 0.736320i
\(581\) −11.2026 18.5773i −0.464760 0.770718i
\(582\) −8.38750 22.4878i −0.347673 0.932148i
\(583\) 4.75470 + 36.4761i 0.196919 + 1.51069i
\(584\) −25.8340 + 11.7980i −1.06902 + 0.488204i
\(585\) 6.38607 + 1.95968i 0.264031 + 0.0810228i
\(586\) −29.9342 30.8015i −1.23657 1.27240i
\(587\) −20.1289 42.4608i −0.830808 1.75255i −0.635975 0.771710i \(-0.719402\pi\)
−0.194833 0.980836i \(-0.562416\pi\)
\(588\) −25.4740 + 36.1360i −1.05053 + 1.49022i
\(589\) 55.0398 + 6.31523i 2.26788 + 0.260215i
\(590\) 6.02742 + 14.7601i 0.248145 + 0.607662i
\(591\) −9.01327 + 38.7601i −0.370757 + 1.59438i
\(592\) −0.0360068 + 0.0616856i −0.00147987 + 0.00253526i
\(593\) 27.5474 + 5.99256i 1.13123 + 0.246085i 0.738951 0.673759i \(-0.235322\pi\)
0.392284 + 0.919844i \(0.371685\pi\)
\(594\) 19.5859 37.2185i 0.803618 1.52710i
\(595\) 24.1073 + 42.4766i 0.988302 + 1.74137i
\(596\) 1.15225 + 0.374388i 0.0471979 + 0.0153355i
\(597\) −17.5165 + 14.7455i −0.716903 + 0.603494i
\(598\) 22.3877 + 33.7659i 0.915502 + 1.38079i
\(599\) −16.5224 + 11.2977i −0.675087 + 0.461613i −0.852640 0.522499i \(-0.825000\pi\)
0.177553 + 0.984111i \(0.443182\pi\)
\(600\) 19.9797 1.22804i 0.815667 0.0501344i
\(601\) 2.30096 40.2391i 0.0938580 1.64139i −0.521580 0.853203i \(-0.674657\pi\)
0.615438 0.788186i \(-0.288979\pi\)
\(602\) 3.70088 23.3664i 0.150837 0.952345i
\(603\) 0.0102355 + 0.0108375i 0.000416823 + 0.000441339i
\(604\) −47.3323 −1.92592
\(605\) −20.6343 + 13.3876i −0.838902 + 0.544282i
\(606\) 56.3110 2.28748
\(607\) −21.8182 23.1014i −0.885573 0.937658i 0.112861 0.993611i \(-0.463999\pi\)
−0.998433 + 0.0559524i \(0.982180\pi\)
\(608\) −5.80064 + 36.6238i −0.235247 + 1.48529i
\(609\) −0.888948 + 15.5459i −0.0360220 + 0.629952i
\(610\) −7.89026 + 32.1552i −0.319467 + 1.30193i
\(611\) 4.55549 3.11497i 0.184296 0.126018i
\(612\) 5.98771 + 9.03087i 0.242039 + 0.365051i
\(613\) −27.4644 + 23.1197i −1.10927 + 0.933795i −0.998197 0.0600164i \(-0.980885\pi\)
−0.111077 + 0.993812i \(0.535430\pi\)
\(614\) −53.8886 17.5095i −2.17477 0.706624i
\(615\) −21.7235 5.99311i −0.875975 0.241666i
\(616\) 30.1655 17.0790i 1.21540 0.688133i
\(617\) 37.8238 + 8.22805i 1.52273 + 0.331249i 0.894602 0.446864i \(-0.147459\pi\)
0.628125 + 0.778113i \(0.283823\pi\)
\(618\) 30.0729 51.5198i 1.20971 2.07243i
\(619\) 5.98164 25.7231i 0.240423 1.03390i −0.705297 0.708912i \(-0.749186\pi\)
0.945719 0.324985i \(-0.105359\pi\)
\(620\) −24.7985 + 59.0312i −0.995932 + 2.37075i
\(621\) 21.0163 + 2.41139i 0.843354 + 0.0967658i
\(622\) −16.7127 + 23.7077i −0.670117 + 0.950592i
\(623\) −4.05369 8.55104i −0.162407 0.342590i
\(624\) 1.97452 + 2.03173i 0.0790440 + 0.0813343i
\(625\) −14.2867 20.5156i −0.571467 0.820625i
\(626\) −32.2426 + 14.7247i −1.28867 + 0.588518i
\(627\) 4.82632 30.6907i 0.192745 1.22567i
\(628\) −19.7103 52.8454i −0.786527 2.10876i
\(629\) 0.513935 + 0.852265i 0.0204919 + 0.0339820i
\(630\) 12.9003 0.0275238i 0.513960 0.00109657i
\(631\) −14.6353 + 3.40329i −0.582622 + 0.135483i −0.507440 0.861687i \(-0.669408\pi\)
−0.0751815 + 0.997170i \(0.523954\pi\)
\(632\) −3.87860 + 7.61217i −0.154282 + 0.302796i
\(633\) −10.2480 + 5.98191i −0.407322 + 0.237760i
\(634\) −19.7821 + 37.4912i −0.785647 + 1.48897i
\(635\) 3.33522 + 8.88415i 0.132354 + 0.352557i
\(636\) 41.5698 33.9915i 1.64835 1.34785i
\(637\) −25.8214 34.4934i −1.02308 1.36668i
\(638\) 9.06893 16.6520i 0.359042 0.659261i
\(639\) −2.36202 + 0.339607i −0.0934400 + 0.0134346i
\(640\) −35.1813 16.5861i −1.39066 0.655624i
\(641\) 3.12642 8.03014i 0.123486 0.317171i −0.856528 0.516101i \(-0.827383\pi\)
0.980014 + 0.198930i \(0.0637465\pi\)
\(642\) 27.9534 63.5974i 1.10323 2.50999i
\(643\) −0.457311 + 10.6684i −0.0180346 + 0.420719i 0.967668 + 0.252226i \(0.0811627\pi\)
−0.985703 + 0.168493i \(0.946110\pi\)
\(644\) 37.0331 + 30.2818i 1.45931 + 1.19327i
\(645\) 8.00670 3.95786i 0.315263 0.155841i
\(646\) 59.4886 + 45.8726i 2.34055 + 1.80483i
\(647\) 28.8339 + 11.7029i 1.13358 + 0.460088i 0.864301 0.502975i \(-0.167761\pi\)
0.269276 + 0.963063i \(0.413216\pi\)
\(648\) −17.3900 + 1.24376i −0.683145 + 0.0488595i
\(649\) −1.17679 + 10.3568i −0.0461930 + 0.406540i
\(650\) −13.3856 + 51.8225i −0.525026 + 2.03265i
\(651\) 24.8069 50.4548i 0.972261 1.97748i
\(652\) 16.9772 + 8.04818i 0.664880 + 0.315191i
\(653\) −2.29571 + 8.25265i −0.0898383 + 0.322951i −0.994709 0.102736i \(-0.967240\pi\)
0.904870 + 0.425687i \(0.139968\pi\)
\(654\) 2.29529 5.43130i 0.0897528 0.212381i
\(655\) −21.1003 0.557735i −0.824459 0.0217925i
\(656\) 1.83346 + 1.78183i 0.0715844 + 0.0695686i
\(657\) −5.75903 3.81839i −0.224681 0.148970i
\(658\) 6.62787 8.34596i 0.258381 0.325359i
\(659\) 9.05373 2.65841i 0.352683 0.103557i −0.100592 0.994928i \(-0.532074\pi\)
0.453275 + 0.891371i \(0.350255\pi\)
\(660\) 32.4946 + 15.2758i 1.26485 + 0.594609i
\(661\) −31.5451 9.26246i −1.22696 0.360268i −0.396858 0.917880i \(-0.629900\pi\)
−0.830102 + 0.557612i \(0.811718\pi\)
\(662\) 3.49195 2.46164i 0.135718 0.0956743i
\(663\) 38.0323 10.5798i 1.47705 0.410885i
\(664\) 11.1305 8.58287i 0.431946 0.333080i
\(665\) 51.7226 17.7494i 2.00572 0.688292i
\(666\) 0.262763 0.00750654i 0.0101819 0.000290873i
\(667\) 9.45861 + 1.22236i 0.366239 + 0.0473298i
\(668\) −3.20186 11.5101i −0.123884 0.445338i
\(669\) −2.89405 + 16.7231i −0.111890 + 0.646553i
\(670\) −0.0830608 + 0.0858332i −0.00320892 + 0.00331603i
\(671\) −14.6190 + 15.9637i −0.564362 + 0.616273i
\(672\) 33.0278 + 18.0345i 1.27407 + 0.695697i
\(673\) 2.15129 + 1.70843i 0.0829262 + 0.0658551i 0.662484 0.749076i \(-0.269502\pi\)
−0.579558 + 0.814931i \(0.696775\pi\)
\(674\) 45.9672 9.31415i 1.77059 0.358768i
\(675\) 16.1997 + 22.7731i 0.623528 + 0.876537i
\(676\) 26.1609 12.8624i 1.00619 0.494709i
\(677\) −39.9609 + 16.2190i −1.53582 + 0.623349i −0.978370 0.206861i \(-0.933675\pi\)
−0.557451 + 0.830210i \(0.688221\pi\)
\(678\) −38.3830 10.6773i −1.47409 0.410061i
\(679\) 26.0127 9.28132i 0.998276 0.356184i
\(680\) −25.5608 + 18.6544i −0.980211 + 0.715365i
\(681\) −25.9523 + 22.4878i −0.994495 + 0.861735i
\(682\) −53.5675 + 42.6364i −2.05120 + 1.63263i
\(683\) −1.78581 24.9689i −0.0683321 0.955408i −0.909786 0.415078i \(-0.863754\pi\)
0.841454 0.540329i \(-0.181700\pi\)
\(684\) 11.1749 4.72254i 0.427282 0.180571i
\(685\) −6.16769 + 16.6446i −0.235655 + 0.635957i
\(686\) −15.7155 11.4180i −0.600020 0.435940i
\(687\) −3.50520 34.9492i −0.133732 1.33340i
\(688\) −1.01237 0.0433964i −0.0385963 0.00165447i
\(689\) 18.9864 + 48.7661i 0.723324 + 1.85784i
\(690\) −2.04433 + 29.4669i −0.0778264 + 1.12179i
\(691\) −32.0012 29.3705i −1.21738 1.11731i −0.989638 0.143585i \(-0.954137\pi\)
−0.227746 0.973721i \(-0.573136\pi\)
\(692\) −26.3748 19.7440i −1.00262 0.750553i
\(693\) 7.40679 + 4.03384i 0.281361 + 0.153233i
\(694\) −15.7944 2.27090i −0.599549 0.0862021i
\(695\) −1.05503 5.15032i −0.0400197 0.195363i
\(696\) −10.0722 + 0.575950i −0.381787 + 0.0218313i
\(697\) 34.0341 10.5235i 1.28913 0.398605i
\(698\) −24.7231 42.3549i −0.935785 1.60316i
\(699\) 8.54656 + 26.3036i 0.323260 + 0.994893i
\(700\) 2.97603 + 63.1291i 0.112483 + 2.38606i
\(701\) −28.0208 + 14.7851i −1.05833 + 0.558424i −0.903089 0.429453i \(-0.858706\pi\)
−0.155241 + 0.987877i \(0.549616\pi\)
\(702\) 14.3828 58.0787i 0.542844 2.19204i
\(703\) 1.04403 0.389403i 0.0393763 0.0146866i
\(704\) −25.4512 34.9497i −0.959229 1.31721i
\(705\) 4.01748 + 0.221129i 0.151307 + 0.00832820i
\(706\) −23.7773 16.2585i −0.894872 0.611898i
\(707\) −0.925300 + 64.7927i −0.0347995 + 2.43678i
\(708\) 13.7493 6.51798i 0.516732 0.244961i
\(709\) −1.42340 8.22505i −0.0534569 0.308898i 0.946446 0.322863i \(-0.104645\pi\)
−0.999902 + 0.0139653i \(0.995555\pi\)
\(710\) −3.56921 18.7842i −0.133950 0.704958i
\(711\) −2.07098 + 0.177877i −0.0776680 + 0.00667091i
\(712\) 5.20473 3.24081i 0.195056 0.121454i
\(713\) −29.7404 17.3599i −1.11379 0.650133i
\(714\) 64.1341 41.2165i 2.40016 1.54249i
\(715\) −23.9444 + 25.5176i −0.895471 + 0.954303i
\(716\) −7.41719 4.76674i −0.277193 0.178141i
\(717\) 11.7151 + 22.9922i 0.437509 + 0.858661i
\(718\) −22.6295 26.8821i −0.844527 1.00323i
\(719\) 12.3111 + 2.49456i 0.459128 + 0.0930313i 0.422630 0.906302i \(-0.361107\pi\)
0.0364979 + 0.999334i \(0.488380\pi\)
\(720\) −0.0641562 0.548806i −0.00239096 0.0204528i
\(721\) 58.7857 + 35.4491i 2.18929 + 1.32019i
\(722\) 30.6008 27.2905i 1.13885 1.01565i
\(723\) −1.64753 0.260943i −0.0612722 0.00970457i
\(724\) 31.1844 + 0.890867i 1.15896 + 0.0331088i
\(725\) 7.15624 + 10.3704i 0.265776 + 0.385147i
\(726\) 22.6354 + 31.0112i 0.840080 + 1.15094i
\(727\) −17.7192 17.7192i −0.657167 0.657167i 0.297542 0.954709i \(-0.403833\pi\)
−0.954709 + 0.297542i \(0.903833\pi\)
\(728\) 35.8532 33.8616i 1.32881 1.25499i
\(729\) −17.6566 24.3023i −0.653949 0.900084i
\(730\) 28.4893 47.4730i 1.05444 1.75705i
\(731\) −7.29109 + 12.0909i −0.269671 + 0.447199i
\(732\) 31.0560 + 5.83237i 1.14786 + 0.215571i
\(733\) 11.9763 7.94060i 0.442354 0.293293i −0.311608 0.950211i \(-0.600868\pi\)
0.753962 + 0.656918i \(0.228140\pi\)
\(734\) −1.31984 + 15.3666i −0.0487163 + 0.567193i
\(735\) 0.381562 31.4121i 0.0140741 1.15865i
\(736\) 12.4610 19.3896i 0.459317 0.714711i
\(737\) −0.0745788 + 0.0231500i −0.00274715 + 0.000852742i
\(738\) 2.00010 9.19432i 0.0736248 0.338448i
\(739\) 9.12987 + 34.7336i 0.335848 + 1.27770i 0.894041 + 0.447986i \(0.147859\pi\)
−0.558193 + 0.829711i \(0.688505\pi\)
\(740\) 0.0946121 + 1.28433i 0.00347801 + 0.0472131i
\(741\) −3.78231 44.0367i −0.138947 1.61773i
\(742\) 62.8502 + 79.1423i 2.30730 + 2.90541i
\(743\) 12.7209 + 8.96759i 0.466686 + 0.328989i 0.785536 0.618816i \(-0.212387\pi\)
−0.318850 + 0.947805i \(0.603297\pi\)
\(744\) 34.3088 + 12.2413i 1.25782 + 0.448789i
\(745\) −0.825454 + 0.244289i −0.0302423 + 0.00895007i
\(746\) 43.3517 63.3998i 1.58722 2.32123i
\(747\) 3.20408 + 1.19506i 0.117231 + 0.0437249i
\(748\) −56.2851 + 7.33682i −2.05799 + 0.268261i
\(749\) 72.7172 + 33.2088i 2.65703 + 1.21342i
\(750\) −30.7492 + 24.0266i −1.12280 + 0.877327i
\(751\) 0.257062 + 0.487186i 0.00938031 + 0.0177777i 0.889078 0.457755i \(-0.151346\pi\)
−0.879698 + 0.475533i \(0.842255\pi\)
\(752\) −0.387502 0.241284i −0.0141307 0.00879873i
\(753\) 4.00603 + 2.04117i 0.145988 + 0.0743846i
\(754\) 6.85767 26.0893i 0.249742 0.950116i
\(755\) 27.7211 19.0421i 1.00887 0.693013i
\(756\) −4.03330 70.5344i −0.146690 2.56531i
\(757\) −3.72020 0.373114i −0.135213 0.0135610i 0.0319563 0.999489i \(-0.489826\pi\)
−0.167169 + 0.985928i \(0.553463\pi\)
\(758\) −13.9452 + 10.4393i −0.506513 + 0.379171i
\(759\) −10.4226 + 16.2571i −0.378315 + 0.590097i
\(760\) 15.2449 + 31.9818i 0.552990 + 1.16010i
\(761\) −1.81503 + 1.97760i −0.0657947 + 0.0716880i −0.768766 0.639530i \(-0.779129\pi\)
0.702971 + 0.711218i \(0.251856\pi\)
\(762\) 13.5603 5.96028i 0.491239 0.215918i
\(763\) 6.21165 + 2.73025i 0.224877 + 0.0988418i
\(764\) −37.4475 40.8017i −1.35480 1.47616i
\(765\) −7.14000 2.88021i −0.258147 0.104134i
\(766\) −2.47235 + 3.40289i −0.0893295 + 0.122952i
\(767\) 1.90057 + 14.7066i 0.0686256 + 0.531026i
\(768\) −7.74788 + 19.0894i −0.279577 + 0.688830i
\(769\) −15.8693 + 18.3141i −0.572261 + 0.660424i −0.965923 0.258831i \(-0.916663\pi\)
0.393662 + 0.919255i \(0.371208\pi\)
\(770\) −29.6203 + 60.7399i −1.06744 + 2.18891i
\(771\) −21.9645 25.3484i −0.791033 0.912901i
\(772\) 74.7752 25.4820i 2.69122 0.917119i
\(773\) 17.6312 37.1921i 0.634149 1.33771i −0.290496 0.956876i \(-0.593820\pi\)
0.924645 0.380830i \(-0.124362\pi\)
\(774\) 1.83382 + 3.24727i 0.0659152 + 0.116721i
\(775\) −9.22495 44.5494i −0.331370 1.60026i
\(776\) 7.89536 + 16.0583i 0.283427 + 0.576461i
\(777\) −0.0161476 1.13071i −0.000579293 0.0405641i
\(778\) −15.1803 + 22.8954i −0.544240 + 0.820841i
\(779\) −4.54660 39.6255i −0.162899 1.41973i
\(780\) 50.0860 + 10.0375i 1.79337 + 0.359401i
\(781\) 3.84978 11.8929i 0.137756 0.425562i
\(782\) −22.3781 40.9823i −0.800238 1.46553i
\(783\) −8.11555 11.5123i −0.290026 0.411415i
\(784\) −1.75256 + 3.10337i −0.0625913 + 0.110835i
\(785\) 32.8038 + 23.0203i 1.17082 + 0.821630i
\(786\) 0.940847 + 32.9340i 0.0335589 + 1.17472i
\(787\) 31.6444 + 29.8866i 1.12800 + 1.06534i 0.997264 + 0.0739269i \(0.0235532\pi\)
0.130739 + 0.991417i \(0.458265\pi\)
\(788\) 10.4330 80.7304i 0.371659 2.87590i
\(789\) −22.9922 12.9843i −0.818545 0.462254i
\(790\) −2.16982 16.5129i −0.0771988 0.587502i
\(791\) 12.9163 43.9888i 0.459250 1.56406i
\(792\) −2.04946 + 5.06551i −0.0728245 + 0.179995i
\(793\) −14.7585 + 27.0281i −0.524088 + 0.959796i
\(794\) 43.1121 4.94665i 1.52999 0.175550i
\(795\) −10.6712 + 36.6316i −0.378467 + 1.29919i
\(796\) 32.6422 33.5881i 1.15697 1.19050i
\(797\) −27.7633 9.46124i −0.983428 0.335134i −0.216087 0.976374i \(-0.569329\pi\)
−0.767341 + 0.641240i \(0.778420\pi\)
\(798\) −32.1005 79.0901i −1.13635 2.79976i
\(799\) −5.53841 + 3.12769i −0.195935 + 0.110650i
\(800\) 30.0544 4.89169i 1.06258 0.172948i
\(801\) 1.33869 + 0.658188i 0.0473001 + 0.0232559i
\(802\) −54.8289 3.92144i −1.93608 0.138471i
\(803\) 31.2408 18.2819i 1.10247 0.645153i
\(804\) 0.0861508 + 0.0746501i 0.00303831 + 0.00263271i
\(805\) −33.8717 2.83645i −1.19382 0.0999718i
\(806\) −59.4775 + 77.1317i −2.09500 + 2.71685i
\(807\) −2.46013 15.5326i −0.0866006 0.546775i
\(808\) −41.7740 + 4.18968i −1.46960 + 0.147392i
\(809\) 0.297043 0.272624i 0.0104435 0.00958495i −0.670936 0.741515i \(-0.734108\pi\)
0.681380 + 0.731930i \(0.261380\pi\)
\(810\) 26.5706 21.1934i 0.933597 0.744661i
\(811\) −22.1357 8.61820i −0.777289 0.302626i −0.0588963 0.998264i \(-0.518758\pi\)
−0.718392 + 0.695638i \(0.755122\pi\)
\(812\) −1.36412 31.8229i −0.0478714 1.11676i
\(813\) 15.2100 20.3182i 0.533437 0.712589i
\(814\) −0.570659 + 1.25322i −0.0200016 + 0.0439252i
\(815\) −13.1809 + 2.11648i −0.461706 + 0.0741372i
\(816\) −2.06700 2.52783i −0.0723594 0.0884918i
\(817\) 11.7980 + 10.5217i 0.412759 + 0.368107i
\(818\) 3.56589 + 11.5325i 0.124679 + 0.403224i
\(819\) 11.6045 + 3.05028i 0.405492 + 0.106585i
\(820\) 45.4384 + 7.76360i 1.58678 + 0.271117i
\(821\) −4.31402 18.5517i −0.150560 0.647460i −0.993919 0.110110i \(-0.964880\pi\)
0.843359 0.537350i \(-0.180575\pi\)
\(822\) 26.4707 + 8.18483i 0.923270 + 0.285479i
\(823\) 12.1509 + 3.00909i 0.423553 + 0.104890i 0.446368 0.894850i \(-0.352717\pi\)
−0.0228147 + 0.999740i \(0.507263\pi\)
\(824\) −18.4762 + 40.4571i −0.643647 + 1.40939i
\(825\) −25.1766 + 4.12623i −0.876538 + 0.143657i
\(826\) 11.8964 + 26.0496i 0.413930 + 0.906381i
\(827\) −0.530632 2.82549i −0.0184519 0.0982518i 0.972364 0.233470i \(-0.0750082\pi\)
−0.990816 + 0.135219i \(0.956826\pi\)
\(828\) −7.54013 0.107680i −0.262038 0.00374214i
\(829\) −6.04659 + 16.9467i −0.210007 + 0.588585i −0.999689 0.0249309i \(-0.992063\pi\)
0.789683 + 0.613516i \(0.210245\pi\)
\(830\) −8.41152 + 26.0772i −0.291968 + 0.905152i
\(831\) −0.951091 + 8.28914i −0.0329930 + 0.287547i
\(832\) −47.0551 39.6113i −1.63134 1.37327i
\(833\) 26.2493 + 42.1564i 0.909485 + 1.46063i
\(834\) −7.93657 + 2.08616i −0.274821 + 0.0722377i
\(835\) 6.50581 + 5.45296i 0.225143 + 0.188707i
\(836\) −3.55825 + 63.4517i −0.123065 + 2.19452i
\(837\) 10.8106 + 49.6955i 0.373668 + 1.71773i
\(838\) −35.7297 + 18.2052i −1.23426 + 0.628887i
\(839\) 30.9679 + 2.65984i 1.06913 + 0.0918279i 0.606781 0.794869i \(-0.292460\pi\)
0.462351 + 0.886697i \(0.347006\pi\)
\(840\) 35.7682 3.66443i 1.23412 0.126435i
\(841\) 12.7845 + 18.6967i 0.440844 + 0.644714i
\(842\) −11.9909 48.4199i −0.413233 1.66866i
\(843\) 19.8126 + 22.2158i 0.682381 + 0.765154i
\(844\) 19.6372 14.2673i 0.675941 0.491100i
\(845\) −10.1470 + 18.0578i −0.349066 + 0.621208i
\(846\) 1.68001i 0.0577600i
\(847\) −36.0541 + 25.5352i −1.23884 + 0.877401i
\(848\) 3.06084 3.06084i 0.105110 0.105110i
\(849\) 1.29649 45.3829i 0.0444953 1.55754i
\(850\) 20.4822 58.1888i 0.702535 1.99586i
\(851\) −0.691491 0.0395409i −0.0237040 0.00135544i
\(852\) −17.7130 + 4.38652i −0.606839 + 0.150280i
\(853\) −4.90548 + 26.1205i −0.167960 + 0.894348i 0.791215 + 0.611537i \(0.209449\pi\)
−0.959176 + 0.282811i \(0.908733\pi\)
\(854\) −11.8104 + 58.2864i −0.404142 + 1.99452i
\(855\) −4.64486 + 7.26157i −0.158851 + 0.248340i
\(856\) −16.0053 + 49.2591i −0.547048 + 1.68364i
\(857\) 15.7753 3.43171i 0.538875 0.117225i 0.0651126 0.997878i \(-0.479259\pi\)
0.473762 + 0.880653i \(0.342896\pi\)
\(858\) 41.8247 + 35.1298i 1.42787 + 1.19931i
\(859\) −23.9780 37.3105i −0.818118 1.27302i −0.959118 0.283007i \(-0.908668\pi\)
0.140999 0.990010i \(-0.454968\pi\)
\(860\) −15.4885 + 9.69009i −0.528154 + 0.330429i
\(861\) −39.4256 9.16804i −1.34362 0.312446i
\(862\) −35.9415 + 42.6956i −1.22417 + 1.45422i
\(863\) 16.0285 12.7289i 0.545616 0.433296i −0.310129 0.950695i \(-0.600372\pi\)
0.855745 + 0.517398i \(0.173099\pi\)
\(864\) −33.5410 + 5.80449i −1.14109 + 0.197473i
\(865\) 23.3901 + 0.952649i 0.795286 + 0.0323910i
\(866\) 55.0353 53.4855i 1.87017 1.81751i
\(867\) −19.0124 + 3.57056i −0.645694 + 0.121263i
\(868\) −40.1914 + 107.757i −1.36418 + 3.65752i
\(869\) 3.93931 10.1511i 0.133632 0.344351i
\(870\) 15.5490 12.0430i 0.527160 0.408298i
\(871\) −0.0951350 + 0.0573685i −0.00322353 + 0.00194386i
\(872\) −1.29864 + 4.19995i −0.0439775 + 0.142228i
\(873\) −2.30126 + 3.69582i −0.0778858 + 0.125085i
\(874\) −49.7211 + 16.1554i −1.68184 + 0.546463i
\(875\) −27.1402 35.7755i −0.917507 1.20943i
\(876\) −46.7334 24.6587i −1.57897 0.833139i
\(877\) −23.5275 + 26.3814i −0.794468 + 0.890837i −0.996064 0.0886319i \(-0.971751\pi\)
0.201597 + 0.979469i \(0.435387\pi\)
\(878\) −5.79358 + 57.7659i −0.195524 + 1.94951i
\(879\) 4.14508 28.8296i 0.139810 0.972399i
\(880\) 2.72926 + 0.963858i 0.0920032 + 0.0324917i
\(881\) −5.10593 35.5125i −0.172023 1.19645i −0.874602 0.484842i \(-0.838877\pi\)
0.702579 0.711606i \(-0.252032\pi\)
\(882\) 13.1049 0.561755i 0.441264 0.0189153i
\(883\) −4.92728 11.2102i −0.165816 0.377252i 0.812920 0.582376i \(-0.197877\pi\)
−0.978736 + 0.205124i \(0.934240\pi\)
\(884\) −75.2494 + 29.2973i −2.53091 + 0.985374i
\(885\) −5.43034 + 9.34883i −0.182539 + 0.314257i
\(886\) −39.7679 + 48.6341i −1.33603 + 1.63389i
\(887\) 14.4444 2.28777i 0.484997 0.0768160i 0.0908522 0.995864i \(-0.471041\pi\)
0.394145 + 0.919048i \(0.371041\pi\)
\(888\) 0.726623 0.0939029i 0.0243839 0.00315118i
\(889\) 6.63520 + 15.7008i 0.222537 + 0.526587i
\(890\) −4.78616 + 10.9525i −0.160432 + 0.367127i
\(891\) 21.8909 3.81318i 0.733372 0.127746i
\(892\) 2.47666 34.6282i 0.0829247 1.15944i
\(893\) 2.29713 + 6.74076i 0.0768705 + 0.225571i
\(894\) 0.451551 + 1.26556i 0.0151021 + 0.0423267i
\(895\) 6.26171 0.192254i 0.209306 0.00642635i
\(896\) −64.3529 27.1958i −2.14988 0.908547i
\(897\) −8.86192 + 26.0047i −0.295891 + 0.868271i
\(898\) 40.9690 0.585076i 1.36715 0.0195242i
\(899\) 4.55348 + 22.4723i 0.151867 + 0.749494i
\(900\) −6.55608 7.50120i −0.218536 0.250040i
\(901\) −16.9927 57.8720i −0.566110 1.92799i
\(902\) 38.6329 + 30.6108i 1.28634 + 1.01923i
\(903\) 14.0805 7.68852i 0.468569 0.255858i
\(904\) 29.2686 + 5.06513i 0.973459 + 0.168464i
\(905\) −18.6221 + 12.0239i −0.619021 + 0.399689i
\(906\) −32.0563 41.5714i −1.06500 1.38112i
\(907\) −20.9447 + 22.1765i −0.695456 + 0.736360i −0.974616 0.223885i \(-0.928126\pi\)
0.279159 + 0.960245i \(0.409944\pi\)
\(908\) 48.2316 51.0684i 1.60062 1.69476i
\(909\) −6.23756 8.08902i −0.206887 0.268296i
\(910\) −20.2353 + 93.9853i −0.670795 + 3.11558i
\(911\) −11.4003 1.97290i −0.377708 0.0653649i −0.0214931 0.999769i \(-0.506842\pi\)
−0.356215 + 0.934404i \(0.615933\pi\)
\(912\) −3.20876 + 1.75211i −0.106252 + 0.0580183i
\(913\) −13.0100 + 12.3144i −0.430567 + 0.407547i
\(914\) 0.782813 + 2.66602i 0.0258931 + 0.0881840i
\(915\) −20.5349 + 9.07819i −0.678864 + 0.300116i
\(916\) 14.2686 + 70.4185i 0.471449 + 2.32669i
\(917\) −37.9100 + 0.541390i −1.25190 + 0.0178783i
\(918\) −22.2444 + 65.2746i −0.734175 + 2.15438i
\(919\) 32.3650 + 13.6775i 1.06762 + 0.451181i 0.851049 0.525086i \(-0.175967\pi\)
0.216572 + 0.976267i \(0.430512\pi\)
\(920\) −0.675836 22.0119i −0.0222817 0.725712i
\(921\) −12.9123 36.1892i −0.425474 1.19247i
\(922\) 5.29500 + 15.5378i 0.174382 + 0.511710i
\(923\) 1.26869 17.7385i 0.0417593 0.583871i
\(924\) 59.4353 + 25.0405i 1.95528 + 0.823773i
\(925\) −0.572107 0.714132i −0.0188108 0.0234805i
\(926\) 35.7532 + 84.6023i 1.17492 + 2.78020i
\(927\) −10.7319 + 1.38691i −0.352483 + 0.0455521i
\(928\) −15.1576 + 2.40073i −0.497574 + 0.0788080i
\(929\) 6.67508 8.16328i 0.219002 0.267829i −0.652970 0.757384i \(-0.726477\pi\)
0.871972 + 0.489555i \(0.162841\pi\)
\(930\) −68.6414 + 18.1993i −2.25084 + 0.596779i
\(931\) 51.8130 20.1726i 1.69810 0.661131i
\(932\) −22.7647 51.7925i −0.745683 1.69652i
\(933\) −19.6518 + 0.842398i −0.643373 + 0.0275789i
\(934\) −1.80354 12.5439i −0.0590136 0.410449i
\(935\) 30.0128 26.9408i 0.981523 0.881059i
\(936\) −1.10635 + 7.69481i −0.0361621 + 0.251513i
\(937\) −4.57984 + 45.6641i −0.149617 + 1.49178i 0.583742 + 0.811939i \(0.301588\pi\)
−0.733359 + 0.679842i \(0.762048\pi\)
\(938\) −0.142797 + 0.160118i −0.00466248 + 0.00522804i
\(939\) −21.2588 11.2171i −0.693754 0.366056i
\(940\) −8.22212 + 0.370027i −0.268176 + 0.0120689i
\(941\) 38.0608 12.3667i 1.24075 0.403143i 0.386150 0.922436i \(-0.373805\pi\)
0.854596 + 0.519293i \(0.173805\pi\)
\(942\) 33.0644 53.1014i 1.07730 1.73014i
\(943\) −7.32371 + 23.6857i −0.238493 + 0.771312i
\(944\) 1.05039 0.633410i 0.0341873 0.0206157i
\(945\) 30.7386 + 39.6872i 0.999928 + 1.29102i
\(946\) −19.5025 + 1.13673i −0.634082 + 0.0369582i
\(947\) 9.85132 26.4124i 0.320125 0.858288i −0.672830 0.739797i \(-0.734922\pi\)
0.992955 0.118491i \(-0.0378057\pi\)
\(948\) −15.6220 + 2.93385i −0.507380 + 0.0952869i
\(949\) 36.9291 35.8892i 1.19877 1.16501i
\(950\) −59.7976 34.5635i −1.94009 1.12139i
\(951\) −28.3247 + 4.90178i −0.918492 + 0.158951i
\(952\) −44.5109 + 35.3479i −1.44261 + 1.14563i
\(953\) 12.8868 15.3085i 0.417445 0.495892i −0.515007 0.857186i \(-0.672211\pi\)
0.932452 + 0.361294i \(0.117665\pi\)
\(954\) −15.5170 3.60833i −0.502383 0.116824i
\(955\) 38.3467 + 8.83093i 1.24087 + 0.285762i
\(956\) −28.5379 44.4059i −0.922982 1.43619i
\(957\) 12.6977 2.02544i 0.410457 0.0654731i
\(958\) 11.8281 2.57304i 0.382148 0.0831312i
\(959\) −9.85261 + 30.3232i −0.318157 + 0.979188i
\(960\) −9.62584 43.7991i −0.310673 1.41361i
\(961\) 10.2850 50.7583i 0.331773 1.63737i
\(962\) −0.361588 + 1.92537i −0.0116581 + 0.0620765i
\(963\) −12.2321 + 3.02920i −0.394174 + 0.0976145i
\(964\) 3.40657 + 0.194795i 0.109718 + 0.00627391i
\(965\) −33.5419 + 45.0066i −1.07975 + 1.44881i
\(966\) −1.51507 + 53.0343i −0.0487465 + 1.70635i
\(967\) 7.26585 7.26585i 0.233654 0.233654i −0.580562 0.814216i \(-0.697167\pi\)
0.814216 + 0.580562i \(0.197167\pi\)
\(968\) −19.0993 21.3214i −0.613874 0.685294i
\(969\) 50.9414i 1.63647i
\(970\) −30.4118 17.0888i −0.976463 0.548689i
\(971\) 29.0902 21.1353i 0.933551 0.678264i −0.0133090 0.999911i \(-0.504237\pi\)
0.946860 + 0.321647i \(0.104237\pi\)
\(972\) 13.5333 + 15.1749i 0.434082 + 0.486737i
\(973\) −2.26996 9.16626i −0.0727717 0.293857i
\(974\) −13.9856 20.4532i −0.448127 0.655364i
\(975\) −33.3720 + 14.2713i −1.06876 + 0.457046i
\(976\) 2.53790 + 0.217980i 0.0812362 + 0.00697738i
\(977\) −44.7130 + 22.7824i −1.43050 + 0.728874i −0.985975 0.166894i \(-0.946626\pi\)
−0.444521 + 0.895768i \(0.646626\pi\)
\(978\) 4.42939 + 20.3616i 0.141636 + 0.651092i
\(979\) −6.18296 + 4.77864i −0.197608 + 0.152726i
\(980\) 5.63566 + 64.0126i 0.180025 + 2.04481i
\(981\) −1.03445 + 0.271909i −0.0330274 + 0.00868139i
\(982\) −17.7568 28.5174i −0.566641 0.910025i
\(983\) −28.9617 24.3802i −0.923734 0.777606i 0.0515245 0.998672i \(-0.483592\pi\)
−0.975259 + 0.221066i \(0.929047\pi\)
\(984\) 2.98948 26.0545i 0.0953011 0.830588i
\(985\) 26.3681 + 51.4785i 0.840158 + 1.64024i
\(986\) −10.4480 + 29.2826i −0.332732 + 0.932548i
\(987\) 7.22641 + 0.103200i 0.230019 + 0.00328489i
\(988\) 16.6877 + 88.8581i 0.530907 + 2.82695i
\(989\) −4.08190 8.93812i −0.129797 0.284216i
\(990\) −2.29802 10.4018i −0.0730359 0.330590i
\(991\) −10.2790 + 22.5078i −0.326523 + 0.714985i −0.999700 0.0244962i \(-0.992202\pi\)
0.673177 + 0.739481i \(0.264929\pi\)
\(992\) 53.7872 + 13.3200i 1.70775 + 0.422912i
\(993\) 2.76791 + 0.855850i 0.0878371 + 0.0271596i
\(994\) −7.77880 33.4514i −0.246729 1.06102i
\(995\) −5.60484 + 32.8037i −0.177685 + 1.03995i
\(996\) 25.2913 + 6.64791i 0.801384 + 0.210647i
\(997\) −0.882774 2.85499i −0.0279577 0.0904184i 0.940323 0.340283i \(-0.110523\pi\)
−0.968281 + 0.249865i \(0.919614\pi\)
\(998\) 16.7303 + 14.9205i 0.529589 + 0.472299i
\(999\) 0.647513 + 0.791875i 0.0204864 + 0.0250538i
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 605.2.w.a.2.8 5120
5.3 odd 4 inner 605.2.w.a.123.8 yes 5120
121.61 odd 110 inner 605.2.w.a.182.8 yes 5120
605.303 even 220 inner 605.2.w.a.303.8 yes 5120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.w.a.2.8 5120 1.1 even 1 trivial
605.2.w.a.123.8 yes 5120 5.3 odd 4 inner
605.2.w.a.182.8 yes 5120 121.61 odd 110 inner
605.2.w.a.303.8 yes 5120 605.303 even 220 inner