LMFDB - Embedded newform 804.2.bd.a.23.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(23,804)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 33, 28]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("804.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.bd (of order $66$, degree $20$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$2640$
Relative dimension:	$132$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			23.19
Character	$\chi$	$=$	804.23
Dual form			804.2.bd.a.35.19

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +O(q^{10})$	\(q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +(-1.45717 + 1.66685i) q^{10} +(-3.33341 - 0.318302i) q^{11} +(3.26894 + 1.14632i) q^{12} +(-5.81919 - 1.12156i) q^{13} +(-4.73069 - 1.91797i) q^{14} +(1.97121 + 1.86198i) q^{15} +(-0.499788 - 3.96865i) q^{16} +(-3.01536 + 5.84899i) q^{17} +(1.55714 - 3.94656i) q^{18} +(2.35023 - 2.46485i) q^{19} +(0.908411 - 2.99638i) q^{20} +(-2.57047 + 5.69910i) q^{21} +(4.48189 - 1.52924i) q^{22} +(-0.843917 + 0.337853i) q^{23} +(-4.88056 + 0.424425i) q^{24} +(-1.66932 + 1.92650i) q^{25} +(8.15336 - 1.94020i) q^{26} +(-4.75648 - 2.09187i) q^{27} +(7.21370 - 0.280301i) q^{28} +(-3.86686 - 2.23253i) q^{29} +(-3.62422 - 1.25311i) q^{30} +(1.50080 + 7.78687i) q^{31} +(2.95335 + 4.82470i) q^{32} +(-1.66009 - 5.55724i) q^{33} +(0.483532 - 9.29367i) q^{34} +(5.24610 + 2.10022i) q^{35} +(0.289171 + 5.99303i) q^{36} +(3.98212 + 6.89723i) q^{37} +(-1.59523 + 4.54460i) q^{38} +(-1.98983 - 10.0699i) q^{39} +(0.572506 + 4.39081i) q^{40} +(11.3009 - 0.538328i) q^{41} +(-0.00271441 - 8.84161i) q^{42} +(1.72186 + 2.67927i) q^{43} +(-4.88727 + 4.57891i) q^{44} +(-1.70458 + 4.37633i) q^{45} +(0.891210 - 0.926512i) q^{46} +(4.66470 + 3.66836i) q^{47} +(6.04397 - 3.38680i) q^{48} +(-0.286872 + 6.02219i) q^{49} +(1.03079 - 3.45449i) q^{50} +(-11.3511 - 1.03022i) q^{51} +(-9.38059 + 7.24485i) q^{52} +(-0.847806 + 1.31921i) q^{53} +(7.34812 - 0.0711589i) q^{54} +(-4.95397 + 1.71458i) q^{55} +(-9.13519 + 4.55855i) q^{56} +(5.48658 + 2.16671i) q^{57} +(6.28328 + 0.627772i) q^{58} +(-6.99305 - 8.07041i) q^{59} +(5.40065 - 0.493503i) q^{60} +(-5.18258 + 0.494876i) q^{61} +(-6.46523 - 9.16386i) q^{62} +(-10.8208 - 0.413808i) q^{63} +(-6.61402 - 4.50053i) q^{64} +(-9.01623 + 2.18731i) q^{65} +(5.37327 + 6.19724i) q^{66} +(8.14552 - 0.806540i) q^{67} +(4.78420 + 12.2607i) q^{68} +(-1.09185 - 1.13441i) q^{69} +(-7.98410 + 0.345276i) q^{70} +(11.2948 - 5.82286i) q^{71} +(-3.85974 - 7.55661i) q^{72} +(-5.34884 + 0.510753i) q^{73} +(-9.14596 - 6.57339i) q^{74} +(-4.17910 - 1.42450i) q^{75} +(-0.588032 - 6.78605i) q^{76} +(-7.47164 - 9.50097i) q^{77} +(8.42395 + 11.8221i) q^{78} +(3.47616 - 1.20311i) q^{79} +(-3.29271 - 5.32654i) q^{80} +(0.259583 - 8.99626i) q^{81} +(-14.2533 + 7.26924i) q^{82} +(5.27433 - 7.40676i) q^{83} +(5.14794 + 11.3950i) q^{84} +(-0.490187 + 10.2903i) q^{85} +(-3.77836 - 2.45166i) q^{86} +(1.06472 - 7.66008i) q^{87} +(3.63535 - 8.74573i) q^{88} +(8.17520 - 1.17542i) q^{89} +(-0.349175 - 6.63279i) q^{90} +(-11.5650 - 17.9955i) q^{91} +(-0.609663 + 1.71280i) q^{92} +(-11.5201 + 7.48005i) q^{93} +(-8.14711 - 2.01430i) q^{94} +(1.74385 - 5.03854i) q^{95} +(-5.81995 + 7.88215i) q^{96} +(5.21280 + 9.02883i) q^{97} +(-3.13420 - 7.92937i) q^{98} +(7.83790 - 6.28362i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{14}{33}\right)$	$-1$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.28898	+	0.581844i	−0.911443	+	0.411426i
$2$	−1.28898	+	0.581844i	−0.911443	+	0.411426i
$3$	0.651270	+	1.60494i	0.376011	+	0.926615i
$3$	0.651270	+	1.60494i	0.376011	+	0.926615i
$4$	1.32292	−	1.49996i	0.661458	−	0.749982i
$5$	1.42405	−	0.650344i	0.636856	−	0.290843i	−0.0707020	−	0.997497i	$-0.522524\pi$
$5$	1.42405	−	0.650344i	0.636856	−	0.290843i	0.707558	+	0.706655i	$0.249797\pi$
$6$	−1.77330	−	1.68980i	−0.723946	−	0.689857i
$7$	2.49089	+	2.61237i	0.941468	+	0.987383i	0.999941	−	0.0109056i	$-0.00347143\pi$
$7$	2.49089	+	2.61237i	0.941468	+	0.987383i	−0.0584723	+	0.998289i	$0.518623\pi$
$8$	−0.832461	+	2.70315i	−0.294319	+	0.955707i
$9$	−2.15170	+	2.09050i	−0.717232	+	0.696835i
$10$	−1.45717	+	1.66685i	−0.460798	+	0.527106i
$11$	−3.33341	−	0.318302i	−1.00506	−	0.0959717i	−0.420476	−	0.907304i	$-0.638137\pi$
$11$	−3.33341	−	0.318302i	−1.00506	−	0.0959717i	−0.584586	+	0.811332i	$0.698743\pi$
$12$	3.26894	+	1.14632i	0.943660	+	0.330915i
$13$	−5.81919	−	1.12156i	−1.61395	−	0.311064i	−0.699153	−	0.714972i	$-0.746439\pi$
$13$	−5.81919	−	1.12156i	−1.61395	−	0.311064i	−0.914799	+	0.403909i	$0.867651\pi$
$14$	−4.73069	−	1.91797i	−1.26433	−	0.512600i
$15$	1.97121	+	1.86198i	0.508964	+	0.480761i
$16$	−0.499788	−	3.96865i	−0.124947	−	0.992163i
$17$	−3.01536	+	5.84899i	−0.731333	+	1.41859i	0.169993	+	0.985445i	$0.445626\pi$
$17$	−3.01536	+	5.84899i	−0.731333	+	1.41859i	−0.901326	+	0.433142i	$0.857405\pi$
$18$	1.55714	−	3.94656i	0.367020	−	0.930213i
$19$	2.35023	−	2.46485i	0.539180	−	0.565475i	−0.396631	−	0.917978i	$-0.629821\pi$
$19$	2.35023	−	2.46485i	0.539180	−	0.565475i	0.935811	+	0.352503i	$0.114669\pi$
$20$	0.908411	−	2.99638i	0.203127	−	0.670011i
$21$	−2.57047	+	5.69910i	−0.560922	+	1.24365i
$22$	4.48189	−	1.52924i	0.955542	−	0.326035i
$23$	−0.843917	+	0.337853i	−0.175969	+	0.0704473i	−0.457974	−	0.888966i	$-0.651425\pi$
$23$	−0.843917	+	0.337853i	−0.175969	+	0.0704473i	0.282005	+	0.959413i	$0.409000\pi$
$24$	−4.88056	+	0.424425i	−0.996240	+	0.0866354i
$25$	−1.66932	+	1.92650i	−0.333864	+	0.385300i
$26$	8.15336	−	1.94020i	1.59901	−	0.380504i
$27$	−4.75648	−	2.09187i	−0.915385	−	0.402580i
$28$	7.21370	−	0.280301i	1.36326	−	0.0529720i
$29$	−3.86686	−	2.23253i	−0.718058	−	0.414571i	0.0959793	−	0.995383i	$-0.469402\pi$
$29$	−3.86686	−	2.23253i	−0.718058	−	0.414571i	−0.814038	+	0.580812i	$0.802735\pi$
$30$	−3.62422	−	1.25311i	−0.661689	−	0.228785i
$31$	1.50080	+	7.78687i	0.269551	+	1.39856i	0.824115	+	0.566422i	$0.191673\pi$
$31$	1.50080	+	7.78687i	0.269551	+	1.39856i	−0.554564	+	0.832141i	$0.687115\pi$
$32$	2.95335	+	4.82470i	0.522084	+	0.852894i
$33$	−1.66009	−	5.55724i	−0.288985	−	0.967392i
$34$	0.483532	−	9.29367i	0.0829250	−	1.59385i
$35$	5.24610	+	2.10022i	0.886753	+	0.355002i
$36$	0.289171	+	5.99303i	0.0481952	+	0.998838i
$37$	3.98212	+	6.89723i	0.654656	+	1.13390i	0.981980	+	0.188985i	$0.0605198\pi$
$37$	3.98212	+	6.89723i	0.654656	+	1.13390i	−0.327324	+	0.944912i	$0.606147\pi$
$38$	−1.59523	+	4.54460i	−0.258781	+	0.737231i
$39$	−1.98983	−	10.0699i	−0.318627	−	1.61248i
$40$	0.572506	+	4.39081i	0.0905211	+	0.694249i
$41$	11.3009	−	0.538328i	1.76490	−	0.0840727i	0.860158	−	0.510028i	$-0.170365\pi$
$41$	11.3009	−	0.538328i	1.76490	−	0.0840727i	0.904744	+	0.425955i	$0.140062\pi$
$42$	−0.00271441	−	8.84161i	−0.000418842	−	1.36429i
$43$	1.72186	+	2.67927i	0.262582	+	0.408585i	0.947362	−	0.320164i	$-0.103738\pi$
$43$	1.72186	+	2.67927i	0.262582	+	0.408585i	−0.684780	+	0.728750i	$0.740102\pi$
$44$	−4.88727	+	4.57891i	−0.736783	+	0.690297i
$45$	−1.70458	+	4.37633i	−0.254104	+	0.652385i
$46$	0.891210	−	0.926512i	0.131402	−	0.136607i
$47$	4.66470	+	3.66836i	0.680417	+	0.535086i	0.897471	−	0.441074i	$-0.145402\pi$
$47$	4.66470	+	3.66836i	0.680417	+	0.535086i	−0.217054	+	0.976160i	$0.569645\pi$
$48$	6.04397	−	3.38680i	0.872372	−	0.488842i
$49$	−0.286872	+	6.02219i	−0.0409818	+	0.860313i
$50$	1.03079	−	3.45449i	0.145776	−	0.488539i
$51$	−11.3511	−	1.03022i	−1.58947	−	0.144260i
$52$	−9.38059	+	7.24485i	−1.30085	+	1.00468i
$53$	−0.847806	+	1.31921i	−0.116455	+	0.181208i	−0.894588	−	0.446892i	$-0.852531\pi$
$53$	−0.847806	+	1.31921i	−0.116455	+	0.181208i	0.778133	+	0.628100i	$0.216167\pi$
$54$	7.34812	−	0.0711589i	0.999953	−	0.00968350i
$55$	−4.95397	+	1.71458i	−0.667993	+	0.231194i
$56$	−9.13519	+	4.55855i	−1.22074	+	0.609162i
$57$	5.48658	+	2.16671i	0.726715	+	0.286987i
$58$	6.28328	+	0.627772i	0.825035	+	0.0824305i
$59$	−6.99305	−	8.07041i	−0.910418	−	1.05068i	−0.998510	−	0.0545660i	$-0.982622\pi$
$59$	−6.99305	−	8.07041i	−0.910418	−	1.05068i	0.0880922	−	0.996112i	$-0.471923\pi$
$60$	5.40065	−	0.493503i	0.697220	−	0.0637110i
$61$	−5.18258	+	0.494876i	−0.663561	+	0.0633624i	−0.421402	−	0.906874i	$-0.638462\pi$
$61$	−5.18258	+	0.494876i	−0.663561	+	0.0633624i	−0.242159	+	0.970236i	$0.577856\pi$
$62$	−6.46523	−	9.16386i	−0.821085	−	1.16381i
$63$	−10.8208	−	0.413808i	−1.36329	−	0.0521349i
$64$	−6.61402	−	4.50053i	−0.826752	−	0.562566i
$65$	−9.01623	+	2.18731i	−1.11833	+	0.271303i
$66$	5.37327	+	6.19724i	0.661403	+	0.762827i
$67$	8.14552	−	0.806540i	0.995134	−	0.0985346i
$67$	8.14552	−	0.806540i	0.995134	−	0.0985346i
$68$	4.78420	+	12.2607i	0.580170	+	1.48682i
$69$	−1.09185	−	1.13441i	−0.131444	−	0.136566i
$70$	−7.98410	+	0.345276i	−0.954282	+	0.0412684i
$71$	11.2948	−	5.82286i	1.34044	−	0.691047i	0.369248	−	0.929331i	$-0.379615\pi$
$71$	11.2948	−	5.82286i	1.34044	−	0.691047i	0.971196	+	0.238284i	$0.0765849\pi$
$72$	−3.85974	−	7.55661i	−0.454875	−	0.890555i
$73$	−5.34884	+	0.510753i	−0.626035	+	0.0597791i	−0.403252	−	0.915089i	$-0.632120\pi$
$73$	−5.34884	+	0.510753i	−0.626035	+	0.0597791i	−0.222783	+	0.974868i	$0.571514\pi$
$74$	−9.14596	−	6.57339i	−1.06320	−	0.764141i
$75$	−4.17910	−	1.42450i	−0.482561	−	0.164487i
$76$	−0.588032	−	6.78605i	−0.0674519	−	0.778413i
$77$	−7.47164	−	9.50097i	−0.851473	−	1.08274i
$78$	8.42395	+	11.8221i	0.953824	+	1.33859i
$79$	3.47616	−	1.20311i	0.391099	−	0.135361i	−0.124439	−	0.992227i	$-0.539713\pi$
$79$	3.47616	−	1.20311i	0.391099	−	0.135361i	0.515538	+	0.856867i	$0.327592\pi$
$80$	−3.29271	−	5.32654i	−0.368137	−	0.595526i
$81$	0.259583	−	8.99626i	0.0288426	−	0.999584i
$82$	−14.2533	+	7.26924i	−1.57402	+	0.802754i
$83$	5.27433	−	7.40676i	0.578933	−	0.812997i	−0.416432	−	0.909167i	$-0.636720\pi$
$83$	5.27433	−	7.40676i	0.578933	−	0.812997i	0.995365	+	0.0961693i	$0.0306590\pi$
$84$	5.14794	+	11.3950i	0.561686	+	1.24330i
$85$	−0.490187	+	10.2903i	−0.0531683	+	1.11614i
$86$	−3.77836	−	2.45166i	−0.407431	−	0.264369i
$87$	1.06472	−	7.66008i	0.114150	−	0.821247i
$88$	3.63535	−	8.74573i	0.387530	−	0.932298i
$89$	8.17520	−	1.17542i	0.866570	−	0.124594i	0.305329	−	0.952247i	$-0.401233\pi$
$89$	8.17520	−	1.17542i	0.866570	−	0.124594i	0.561240	+	0.827653i	$0.310324\pi$
$90$	−0.349175	−	6.63279i	−0.0368063	−	0.699157i
$91$	−11.5650	−	17.9955i	−1.21235	−	1.88645i
$92$	−0.609663	+	1.71280i	−0.0635617	+	0.178571i
$93$	−11.5201	+	7.48005i	−1.19458	+	0.775645i
$94$	−8.14711	−	2.01430i	−0.840310	−	0.207759i
$95$	1.74385	−	5.03854i	0.178916	−	0.516943i
$96$	−5.81995	+	7.88215i	−0.593996	+	0.804468i
$97$	5.21280	+	9.02883i	0.529279	+	0.916739i	0.999417	+	0.0341456i	$0.0108710\pi$
$97$	5.21280	+	9.02883i	0.529279	+	0.916739i	−0.470137	+	0.882593i	$0.655796\pi$
$98$	−3.13420	−	7.92937i	−0.316602	−	0.800987i
$99$	7.83790	−	6.28362i	0.787738	−	0.631528i
$100$	0.681309	+	5.05252i	0.0681309	+	0.505252i
$101$	−9.19672	−	2.23110i	−0.915108	−	0.222003i	−0.249561	−	0.968359i	$-0.580286\pi$
$101$	−9.19672	−	2.23110i	−0.915108	−	0.222003i	−0.665547	+	0.746356i	$0.731802\pi$
$102$	15.2307	−	5.27665i	1.50807	−	0.522466i
$103$	1.44351	+	7.48964i	0.142233	+	0.737976i	0.981079	+	0.193607i	$0.0620188\pi$
$103$	1.44351	+	7.48964i	0.142233	+	0.737976i	−0.838846	+	0.544369i	$0.816769\pi$
$104$	7.87598	−	14.7965i	0.772303	−	1.45091i
$105$	0.0458874	+	9.78752i	0.00447815	+	0.955164i
$106$	0.325226	−	2.19372i	0.0315887	−	0.213073i
$107$	−1.85831	+	4.06913i	−0.179650	+	0.393378i	−0.977937	−	0.208899i	$-0.933012\pi$
$107$	−1.85831	+	4.06913i	−0.179650	+	0.393378i	0.798288	+	0.602276i	$0.205739\pi$
$108$	−9.43015	+	4.36718i	−0.907417	+	0.420232i
$109$	−2.31251	+	2.66878i	−0.221498	+	0.255623i	−0.855613	−	0.517617i	$-0.826819\pi$
$109$	−2.31251	+	2.66878i	−0.221498	+	0.255623i	0.634114	+	0.773239i	$0.281365\pi$
$110$	5.38792	−	5.09249i	0.513718	−	0.485550i
$111$	−8.47624	+	10.8830i	−0.804529	+	1.03297i
$112$	9.12268	−	11.1911i	0.862012	−	1.05746i
$113$	−0.0242593	+	0.0172750i	−0.00228213	+	0.00162510i	−0.581197	−	0.813763i	$-0.697416\pi$
$113$	−0.0242593	+	0.0172750i	−0.00228213	+	0.00162510i	0.578915	+	0.815388i	$0.303476\pi$
$114$	−8.33275	+	0.399502i	−0.780434	+	0.0374168i
$115$	−0.982062	+	1.02996i	−0.0915778	+	0.0960440i
$116$	−8.46426	+	2.84670i	−0.785886	+	0.264310i
$117$	14.8657	−	9.75179i	1.37434	−	0.901553i
$118$	13.7096	+	6.33370i	1.26207	+	0.583064i
$119$	−22.7907	+	6.69194i	−2.08922	+	0.613449i
$120$	−6.67416	+	3.77845i	−0.609265	+	0.344923i
$121$	0.209105	+	0.0403017i	0.0190095	+	0.00366379i
$122$	6.39228	−	3.65333i	0.578729	−	0.330757i
$123$	8.22392	+	17.7867i	0.741525	+	1.60377i
$124$	13.6655	+	8.05023i	1.22719	+	0.722932i
$125$	−3.32962	+	11.3396i	−0.297810	+	1.01425i
$126$	14.1885	−	5.76263i	1.26401	−	0.513376i
$127$	−5.28396	−	5.54166i	−0.468876	−	0.491743i	0.446252	−	0.894907i	$-0.352759\pi$
$127$	−5.28396	−	5.54166i	−0.468876	−	0.491743i	−0.915127	+	0.403165i	$0.867910\pi$
$128$	11.1439	+	1.95275i	0.984992	+	0.172600i
$129$	−3.17869	+	4.50843i	−0.279868	+	0.396945i
$130$	10.3490	−	8.06543i	0.907670	−	0.707385i
$131$	−0.701277	+	4.87749i	−0.0612708	+	0.426148i	0.935980	+	0.352052i	$0.114516\pi$
$131$	−0.701277	+	4.87749i	−0.0612708	+	0.426148i	−0.997251	+	0.0740957i	$0.976393\pi$
$132$	−10.5318	−	4.86168i	−0.916678	−	0.423155i
$133$	12.2933			1.06596
$134$	−10.0301	+	5.77903i	−0.866468	+	0.499232i
$135$	−8.13392	+	0.114411i	−0.700056	+	0.00984692i
$136$	−13.3005	−	13.0200i	−1.14051	−	1.11646i
$137$	−10.6673	−	1.53372i	−0.911367	−	0.131035i	−0.329347	−	0.944209i	$-0.606828\pi$
$137$	−10.6673	−	1.53372i	−0.911367	−	0.131035i	−0.582020	+	0.813174i	$0.697738\pi$
$138$	2.06742	+	0.826933i	0.175990	+	0.0703932i
$139$	10.1388	−	4.63021i	0.859958	−	0.392729i	0.0639043	−	0.997956i	$-0.479645\pi$
$139$	10.1388	−	4.63021i	0.859958	−	0.392729i	0.796053	+	0.605227i	$0.206917\pi$
$140$	10.0904	−	5.09055i	0.852795	−	0.430230i
$141$	−2.84954	+	9.87569i	−0.239975	+	0.831683i
$142$	−11.1707	+	14.0773i	−0.937424	+	1.18134i
$143$	19.0408	+	5.59087i	1.59227	+	0.467532i
$144$	9.37188	+	7.49452i	0.780990	+	0.624544i
$145$	−6.95854	−	0.664460i	−0.577875	−	0.0551804i
$146$	6.59735	−	3.77054i	0.546001	−	0.312052i
$147$	−9.85211	+	3.46166i	−0.812589	+	0.285513i
$148$	15.6136	+	3.15142i	1.28343	+	0.259045i
$149$	−0.100032	−	0.340679i	−0.00819498	−	0.0279095i	0.955294	−	0.295658i	$-0.0955387\pi$
$149$	−0.100032	−	0.340679i	−0.00819498	−	0.0279095i	−0.963489	+	0.267748i	$0.913721\pi$
$150$	6.21559	−	0.595443i	0.507501	−	0.0486177i
$151$	−2.36040	+	4.57854i	−0.192087	+	0.372597i	−0.965136	−	0.261750i	$-0.915700\pi$
$151$	−2.36040	+	4.57854i	−0.192087	+	0.372597i	0.773049	+	0.634347i	$0.218731\pi$
$152$	4.70638	+	8.40491i	0.381738	+	0.681728i
$153$	−5.73919	−	18.8889i	−0.463986	−	1.52707i
$154$	15.1588	+	7.89918i	1.22153	+	0.636534i
$155$	7.20136	+	10.1129i	0.578427	+	0.812287i
$156$	−17.7369	−	10.3370i	−1.42009	−	0.827620i
$157$	22.4597	−	8.99149i	1.79248	−	0.717599i	0.799306	−	0.600924i	$-0.205201\pi$
$157$	22.4597	−	8.99149i	1.79248	−	0.717599i	0.993170	−	0.116675i	$-0.0372236\pi$
$158$	−3.78066	+	3.57336i	−0.300773	+	0.284281i
$159$	−2.66941	−	0.501519i	−0.211698	−	0.0397730i
$160$	7.34344	+	4.94994i	0.580550	+	0.391327i
$161$	−2.98470	−	1.36307i	−0.235227	−	0.107425i
$162$	4.89982	+	11.7470i	0.384966	+	0.922931i
$163$	19.1573	+	11.0605i	1.50052	+	0.866323i	1.00000		0.000596406i	$0.000189842\pi$
$163$	19.1573	+	11.0605i	1.50052	+	0.866323i	0.500516	+	0.865727i	$0.333143\pi$
$164$	14.1427	−	17.6631i	1.10436	−	1.37926i
$165$	−5.97818	−	6.83418i	−0.465401	−	0.532040i
$166$	−2.48891	+	12.6160i	−0.193177	+	0.979189i
$167$	−0.833904	+	3.43740i	−0.0645294	+	0.265994i	−0.994933	−	0.100544i	$-0.967942\pi$
$167$	−0.833904	+	3.43740i	−0.0645294	+	0.265994i	0.930403	+	0.366538i	$0.119457\pi$
$168$	−13.2657	−	11.6926i	−1.02347	−	0.902106i
$169$	20.5363	+	8.22148i	1.57971	+	0.632421i
$170$	−5.35550	−	13.5492i	−0.410748	−	1.03917i
$171$	0.0958019	+	10.2168i	0.00732615	+	0.781296i
$172$	6.29670	+	0.961717i	0.480119	+	0.0733302i
$173$	6.87738	+	2.38028i	0.522877	+	0.180970i	0.575741	−	0.817632i	$-0.304714\pi$
$173$	6.87738	+	2.38028i	0.522877	+	0.180970i	−0.0528637	+	0.998602i	$0.516835\pi$
$174$	3.08457	+	10.4932i	0.233841	+	0.795485i
$175$	−9.19082	+	0.437813i	−0.694761	+	0.0330955i
$176$	0.402768	+	13.3882i	0.0303597	+	1.00918i
$177$	8.39820	−	16.4795i	0.631248	−	1.23867i
$178$	−9.85373	+	6.27177i	−0.738568	+	0.470089i
$179$	2.77945	+	19.3315i	0.207746	+	1.44490i	0.780489	+	0.625169i	$0.214970\pi$
$179$	2.77945	+	19.3315i	0.207746	+	1.44490i	−0.572744	+	0.819735i	$0.694121\pi$
$180$	4.30932	+	8.34634i	0.321198	+	0.622099i
$181$	−19.2456	−	15.1349i	−1.43051	−	1.12497i	−0.971640	−	0.236463i	$-0.924012\pi$
$181$	−19.2456	−	15.1349i	−1.43051	−	1.12497i	−0.458871	−	0.888503i	$-0.651746\pi$
$182$	25.3776	+	16.4668i	1.88112	+	1.22060i
$183$	−4.16951	−	7.99545i	−0.308219	−	0.591041i
$184$	−0.210740	−	2.56248i	−0.0155359	−	0.188909i
$185$	10.1563	+	7.23228i	0.746708	+	0.531728i
$186$	10.4969	−	16.3445i	0.769668	−	1.19844i
$187$	11.9132	−	18.5373i	0.871179	−	1.35558i
$188$	11.6734	−	2.14396i	0.851372	−	0.156364i
$189$	−6.38313	−	17.6363i	−0.464304	−	1.28285i
$190$	0.683855	+	7.50920i	0.0496121	+	0.544775i
$191$	17.2247	−	13.5456i	1.24633	−	0.980128i	0.246395	−	0.969170i	$-0.420754\pi$
$191$	17.2247	−	13.5456i	1.24633	−	0.980128i	0.999940	−	0.0109587i	$-0.00348833\pi$
$192$	2.91559	−	13.5462i	0.210415	−	0.977612i
$193$	−11.2353	−	12.9663i	−0.808736	−	0.933332i	0.190090	−	0.981767i	$-0.439122\pi$
$193$	−11.2353	−	12.9663i	−0.808736	−	0.933332i	−0.998826	+	0.0484351i	$0.984577\pi$
$194$	−11.9725	−	8.60491i	−0.859578	−	0.617796i
$195$	−9.38252	−	13.0460i	−0.671896	−	0.934245i
$196$	8.65356	+	8.39715i	0.618112	+	0.599796i
$197$	−0.567037	−	1.09990i	−0.0403997	−	0.0783646i	0.867772	−	0.496963i	$-0.165552\pi$
$197$	−0.567037	−	1.09990i	−0.0403997	−	0.0783646i	−0.908171	+	0.418599i	$0.862521\pi$
$198$	−6.44677	+	12.6599i	−0.458152	+	0.899698i
$199$	−0.313083	+	0.0759531i	−0.0221939	+	0.00538417i	−0.246840	−	0.969056i	$-0.579392\pi$
$199$	−0.313083	+	0.0759531i	−0.0221939	+	0.00538417i	0.224647	+	0.974440i	$0.427877\pi$
$200$	−3.81797	−	6.11615i	−0.269971	−	0.432477i
$201$	6.59938	+	12.5478i	0.465485	+	0.885056i
$202$	13.1525	−	2.47522i	0.925407	−	0.174156i
$203$	−3.79972	−	15.6627i	−0.266688	−	1.09930i
$204$	−16.5619	+	15.6634i	−1.15956	+	1.09666i
$205$	15.7430	−	8.11607i	1.09954	−	0.566851i
$206$	−6.21845	−	8.81407i	−0.433260	−	0.614105i
$207$	1.10957	−	2.49117i	0.0771203	−	0.173148i
$208$	−1.54271	+	23.6549i	−0.106968	+	1.64017i
$209$	−8.61885	+	7.46828i	−0.596178	+	0.516591i
$210$	−5.75395	−	12.5892i	−0.397060	−	0.868735i
$211$	1.13398	+	1.44197i	0.0780663	+	0.0992694i	0.823518	−	0.567291i	$-0.192008\pi$
$211$	1.13398	+	1.44197i	0.0780663	+	0.0992694i	−0.745451	+	0.666560i	$0.767766\pi$
$212$	0.857195	+	3.01688i	0.0588724	+	0.207200i
$213$	16.7013	+	14.3352i	1.14436	+	0.982235i
$214$	0.0277175	−	6.32626i	0.00189473	−	0.432454i
$215$	4.19448	+	2.69563i	0.286061	+	0.183840i
$216$	9.61421	−	11.1161i	0.654164	−	0.756352i
$217$	−16.6039	+	23.3169i	−1.12714	+	1.58285i
$218$	1.42796	−	4.78551i	0.0967134	−	0.324116i
$219$	−4.30327	−	8.25196i	−0.290788	−	0.557616i
$220$	−3.98186	+	9.69902i	−0.268457	+	0.653908i
$221$	24.1069	−	30.6544i	1.62161	−	2.06204i
$222$	4.59344	−	18.9598i	0.308291	−	1.27250i
$223$	−23.6473	+	3.39997i	−1.58354	+	0.227679i	−0.877176	−	0.480169i	$-0.840575\pi$
$223$	−23.6473	+	3.39997i	−1.58354	+	0.227679i	−0.706365	+	0.707848i	$0.749666\pi$
$224$	−5.24743	+	19.7330i	−0.350609	+	1.31847i
$225$	−0.435485	−	7.63496i	−0.0290323	−	0.508997i
$226$	0.0212184	−	0.0363822i	0.00141142	−	0.00242011i
$227$	0.223956	+	4.70142i	0.0148645	+	0.312044i	0.994039	+	0.109024i	$0.0347726\pi$
$227$	0.223956	+	4.70142i	0.0148645	+	0.312044i	−0.979175	+	0.203020i	$0.934924\pi$
$228$	10.5083	−	5.36331i	0.695927	−	0.355194i
$229$	4.45433	−	12.8699i	0.294350	−	0.850469i	−0.696745	−	0.717318i	$-0.745369\pi$
$229$	4.45433	−	12.8699i	0.294350	−	0.850469i	0.991096	−	0.133151i	$-0.0425095\pi$
$230$	0.666580	−	1.89900i	0.0439530	−	0.125216i
$231$	10.3825	−	18.1793i	0.683116	−	1.19611i
$232$	9.25388	−	8.59420i	0.607547	−	0.564237i
$233$	0.892677	−	2.22980i	0.0584812	−	0.146079i	−0.896250	−	0.443550i	$-0.853719\pi$
$233$	0.892677	−	2.22980i	0.0584812	−	0.146079i	0.954731	+	0.297471i	$0.0961431\pi$
$234$	−13.4875	+	21.2193i	−0.881709	+	1.38715i
$235$	9.02849	+	2.19029i	0.588954	+	0.142879i
$236$	−21.3566	−	0.187145i	−1.39019	−	0.0121821i
$237$	4.19485	+	4.79550i	0.272484	+	0.311501i
$238$	25.4829	−	21.8864i	1.65181	−	1.41868i
$239$	11.6430	−	20.1663i	0.753125	−	1.30445i	−0.193175	−	0.981164i	$-0.561879\pi$
$239$	11.6430	−	20.1663i	0.753125	−	1.30445i	0.946301	−	0.323287i	$-0.104788\pi$
$240$	6.40436	−	8.75364i	0.413400	−	0.565045i
$241$	0.899815	−	1.97032i	0.0579622	−	0.126919i	−0.878435	−	0.477863i	$-0.841412\pi$
$241$	0.899815	−	1.97032i	0.0579622	−	0.126919i	0.936397	+	0.350943i	$0.114139\pi$
$242$	−0.292981	+	0.0697185i	−0.0188335	+	0.00448168i
$243$	14.6076	−	5.44237i	0.937075	−	0.349128i
$244$	−6.11382	+	8.42836i	−0.391397	+	0.539571i
$245$	3.50797	+	8.76249i	0.224116	+	0.559815i
$246$	−20.9495	−	18.1416i	−1.33569	−	1.15667i
$247$	−16.4409	+	11.7075i	−1.04611	+	0.744931i
$248$	−22.2984	−	2.42539i	−1.41595	−	0.154013i
$249$	15.3225	+	3.64121i	0.971021	+	0.230752i
$250$	−2.30610	−	16.5538i	−0.145851	−	1.04696i
$251$	13.6947	+	7.06010i	0.864401	+	0.445630i	0.832607	−	0.553865i	$-0.186848\pi$
$251$	13.6947	+	7.06010i	0.864401	+	0.445630i	0.0317943	+	0.999494i	$0.489878\pi$
$252$	−14.9357	+	15.6834i	−0.940862	+	0.987961i
$253$	2.92066	−	0.857584i	0.183620	−	0.0539158i
$254$	10.0353	+	4.06862i	0.629669	+	0.255288i
$255$	−16.8346	+	5.91504i	−1.05422	+	0.370414i
$256$	−15.5004	+	3.96697i	−0.968777	+	0.247936i
$257$	0.371293	−	3.88836i	0.0231606	−	0.242549i	−0.976477	−	0.215623i	$-0.930822\pi$
$257$	0.371293	−	3.88836i	0.0231606	−	0.242549i	0.999637	−	0.0269266i	$-0.00857203\pi$
$258$	1.47405	−	7.66075i	0.0917703	−	0.476937i
$259$	−8.09910	+	27.5830i	−0.503254	+	1.71392i
$260$	−8.64682	+	16.4177i	−0.536253	+	1.01818i
$261$	12.9874	−	3.27996i	0.803902	−	0.203024i
$262$	−1.93401	−	6.69500i	−0.119483	−	0.413618i
$263$	−2.58546	−	5.66137i	−0.159426	−	0.349095i	0.813015	−	0.582243i	$-0.197825\pi$
$263$	−2.58546	−	5.66137i	−0.159426	−	0.349095i	−0.972441	+	0.233148i	$0.925097\pi$
$264$	16.4040	+	0.138710i	1.00960	+	0.00853699i
$265$	−0.349380	+	2.42999i	−0.0214623	+	0.149273i
$266$	−15.8457	+	7.15276i	−0.971563	+	0.438564i
$267$	7.21074	+	12.3552i	0.441290	+	0.756128i
$268$	9.56605	−	13.2850i	0.584340	−	0.811509i
$269$			13.5309i			0.824992i	0.910959	+	0.412496i	$0.135343\pi$
$269$			13.5309i			0.824992i	−0.910959	+	0.412496i	$0.864657\pi$
$270$	10.4179	−	4.88014i	0.634010	−	0.296996i
$271$	25.7749	+	3.70588i	1.56572	+	0.225116i	0.869945	−	0.493148i	$-0.164154\pi$
$271$	25.7749	+	3.70588i	1.56572	+	0.225116i	0.695771	+	0.718264i	$0.255063\pi$
$272$	24.7196	+	9.04368i	1.49885	+	0.548353i
$273$	21.3499	−	30.2812i	1.29215	−	1.83270i
$274$	14.6422	−	4.22976i	0.884570	−	0.255529i
$275$	6.17774	−	5.89046i	0.372532	−	0.355208i
$276$	−3.14600	+	0.137018i	−0.189367	+	0.00824751i
$277$	−12.8252	−	3.76581i	−0.770590	−	0.226266i	−0.127275	−	0.991867i	$-0.540623\pi$
$277$	−12.8252	−	3.76581i	−0.770590	−	0.226266i	−0.643315	+	0.765602i	$0.722441\pi$
$278$	−10.3745	+	11.8674i	−0.622224	+	0.711759i
$279$	−19.5077	−	13.6175i	−1.16790	−	0.815261i
$280$	−10.0444	+	12.4326i	−0.600267	+	0.742992i
$281$	−0.720902	+	3.74039i	−0.0430054	+	0.223133i	−0.997073	−	0.0764591i	$-0.975639\pi$
$281$	−0.720902	+	3.74039i	−0.0430054	+	0.223133i	0.954067	+	0.299592i	$0.0968506\pi$
$282$	−2.07312	−	14.3875i	−0.123452	−	0.856764i
$283$	−2.83989	−	9.67178i	−0.168814	−	0.574927i	−0.999826	−	0.0186726i	$-0.994056\pi$
$283$	−2.83989	−	9.67178i	−0.168814	−	0.574927i	0.831012	−	0.556255i	$-0.187762\pi$
$284$	6.20795	−	24.6449i	0.368374	−	1.46241i
$285$	9.22229	−	0.482657i	0.546281	−	0.0285901i
$286$	−27.7961	+	3.87225i	−1.64362	+	0.228971i
$287$	29.5556	+	28.1812i	1.74461	+	1.66348i
$288$	−16.4408	−	4.20729i	−0.968781	−	0.247917i
$289$	−15.2573	−	21.4258i	−0.897486	−	1.26034i
$290$	9.35600	−	3.19231i	0.549403	−	0.187459i
$291$	−11.0958	+	14.2465i	−0.650449	+	0.835142i
$292$	−6.30996	+	8.69876i	−0.369262	+	0.509056i
$293$	0.366606	+	0.317666i	0.0214174	+	0.0185583i	0.665504	−	0.746395i	$-0.268217\pi$
$293$	0.366606	+	0.317666i	0.0214174	+	0.0185583i	−0.644086	+	0.764953i	$0.722762\pi$
$294$	10.6850	−	10.1944i	0.623161	−	0.594548i
$295$	−15.2070	−	6.94482i	−0.885387	−	0.404343i
$296$	−21.9592	+	5.02258i	−1.27635	+	0.291931i
$297$	15.1895	+	8.48706i	0.881382	+	0.492469i
$298$	0.327161	+	0.380924i	0.0189520	+	0.0220663i
$299$	5.28983	−	1.01953i	0.305919	−	0.0589610i
$300$	−7.66529	+	4.38402i	−0.442556	+	0.253111i
$301$	−2.71028	+	11.1719i	−0.156218	+	0.643939i
$302$	0.378505	−	7.27502i	0.0217805	−	0.418630i
$303$	−2.40875	−	16.2133i	−0.138379	−	0.931429i
$304$	−10.9567	−	8.09534i	−0.628413	−	0.464300i
$305$	−7.05843	+	4.07519i	−0.404165	+	0.233345i
$306$	18.3880	+	21.0080i	1.05117	+	1.20095i
$307$	−10.7449	−	3.71884i	−0.613243	−	0.212246i	0.00275099	−	0.999996i	$-0.499124\pi$
$307$	−10.7449	−	3.71884i	−0.613243	−	0.212246i	−0.615994	+	0.787751i	$0.711246\pi$
$308$	−24.1355	−	1.36178i	−1.37525	−	0.0775945i
$309$	−11.0803	+	7.19453i	−0.630339	+	0.409283i
$310$	−15.1665	−	8.84520i	−0.861399	−	0.502374i
$311$	−17.2343	+	11.0758i	−0.977269	+	0.628053i	−0.928725	−	0.370768i	$-0.879094\pi$
$311$	−17.2343	+	11.0758i	−0.977269	+	0.628053i	−0.0485440	+	0.998821i	$0.515458\pi$
$312$	28.8769	+	3.00401i	1.63483	+	0.170069i
$313$	−1.66760	−	11.5984i	−0.0942582	−	0.655580i	−0.981099	−	0.193505i	$-0.938014\pi$
$313$	−1.66760	−	11.5984i	−0.0942582	−	0.655580i	0.886841	−	0.462075i	$-0.152895\pi$
$314$	−23.7183	+	24.6578i	−1.33850	+	1.39152i
$315$	−15.6785	+	6.44796i	−0.883386	+	0.363301i
$316$	2.79404	−	6.80573i	0.157177	−	0.382852i
$317$	−10.4057	−	0.495686i	−0.584444	−	0.0278405i	−0.246722	−	0.969086i	$-0.579353\pi$
$317$	−10.4057	−	0.495686i	−0.584444	−	0.0278405i	−0.337722	+	0.941246i	$0.609656\pi$
$318$	3.73261	−	0.906735i	0.209314	−	0.0508472i
$319$	12.1792	+	8.67279i	0.681906	+	0.485583i
$320$	−12.3456	−	2.10761i	−0.690141	−	0.117819i
$321$	−7.74099	−	0.332382i	−0.432060	−	0.0185518i
$322$	4.64030	+	0.0203308i	0.258594	+	0.00113299i
$323$	7.33008	+	21.1789i	0.407856	+	1.17842i
$324$	−13.1507	−	12.2907i	−0.730592	−	0.682814i
$325$	11.8748	−	9.33842i	0.658693	−	0.518002i
$326$	−31.1288	−	3.11012i	−1.72406	−	0.172254i
$327$	−5.78931	−	1.97335i	−0.320150	−	0.109127i
$328$	−7.95237	+	30.9961i	−0.439096	+	1.71147i
$329$	2.03614	+	21.3234i	0.112256	+	1.17560i
$330$	11.6822	+	5.33073i	0.643082	+	0.293447i
$331$	10.3689	+	20.1129i	0.569927	+	1.10551i	0.981019	+	0.193911i	$0.0621173\pi$
$331$	10.3689	+	20.1129i	0.569927	+	1.10551i	−0.411092	+	0.911594i	$0.634852\pi$
$332$	−4.13238	−	17.7098i	−0.226794	−	0.971953i
$333$	−22.9870	−	6.51610i	−1.25968	−	0.357080i
$334$	−0.925147	−	4.91593i	−0.0506218	−	0.268987i
$335$	11.0751	−	6.44595i	0.605099	−	0.352180i
$336$	23.9024	+	7.35296i	1.30399	+	0.401137i
$337$	3.01173	+	12.4145i	0.164059	+	0.676261i	0.993120	+	0.117102i	$0.0373606\pi$
$337$	3.01173	+	12.4145i	0.164059	+	0.676261i	−0.829061	+	0.559159i	$0.811124\pi$
$338$	−31.2544	+	1.35161i	−1.70001	+	0.0735179i
$339$	−0.0435248	−	0.0276842i	−0.00236394	−	0.00150360i
$340$	14.7866	+	14.3485i	0.801916	+	0.778154i
$341$	−2.52419	−	26.4346i	−0.136693	−	1.43151i
$342$	−6.06805	−	13.1134i	−0.328123	−	0.709093i
$343$	2.64877	−	2.29517i	0.143020	−	0.123928i
$344$	−8.67586	+	2.42406i	−0.467771	+	0.130697i
$345$	−2.29261	−	0.905375i	−0.123430	−	0.0487438i
$346$	−10.2497	+	0.933432i	−0.551028	+	0.0501816i
$347$	8.66391	+	25.0327i	0.465103	+	1.34383i	0.897050	+	0.441929i	$0.145706\pi$
$347$	8.66391	+	25.0327i	0.465103	+	1.34383i	−0.431947	+	0.901899i	$0.642173\pi$
$348$	−10.0813	−	11.7307i	−0.540415	−	0.628831i
$349$	−17.7698	−	11.4200i	−0.951197	−	0.611297i	−0.0296486	−	0.999560i	$-0.509439\pi$
$349$	−17.7698	−	11.4200i	−0.951197	−	0.611297i	−0.921549	+	0.388263i	$0.873075\pi$
$350$	11.5920	−	5.91195i	0.619619	−	0.316007i
$351$	25.3327	+	17.5076i	1.35216	+	0.934488i
$352$	−8.30902	−	17.0228i	−0.442872	−	0.907317i
$353$	26.4759	+	1.26120i	1.40917	+	0.0671269i	0.738311	−	0.674460i	$-0.235624\pi$
$353$	26.4759	+	1.26120i	1.40917	+	0.0671269i	0.670856	+	0.741587i	$0.265927\pi$
$354$	−1.23659	+	26.1281i	−0.0657243	+	1.38869i
$355$	12.2975	−	15.6376i	0.652684	−	0.829956i
$356$	9.05202	−	13.8175i	0.479756	−	0.732326i
$357$	−25.5831	−	32.2195i	−1.35400	−	1.70524i
$358$	−14.8305	−	23.3006i	−0.783819	−	1.23148i
$359$	−4.19579	+	2.69647i	−0.221445	+	0.142314i	−0.646660	−	0.762778i	$-0.723835\pi$
$359$	−4.19579	+	2.69647i	−0.221445	+	0.142314i	0.425215	+	0.905092i	$0.360198\pi$
$360$	−10.4109	−	8.25087i	−0.548701	−	0.434859i
$361$	0.352151	+	7.39256i	0.0185343	+	0.389082i
$362$	33.6132	+	8.31057i	1.76667	+	0.436794i
$363$	0.0715018	+	0.361849i	0.00375287	+	0.0189922i
$364$	−42.2923	−	6.45945i	−2.21672	−	0.338567i
$365$	−7.28488	+	4.20593i	−0.381308	+	0.220148i
$366$	10.0265	+	7.87994i	0.524093	+	0.411891i
$367$	1.46487	−	3.65908i	0.0764658	−	0.191002i	−0.885210	−	0.465192i	$-0.845985\pi$
$367$	1.46487	−	3.65908i	0.0764658	−	0.191002i	0.961676	+	0.274190i	$0.0884096\pi$
$368$	1.76260	+	3.18036i	0.0918820	+	0.165788i
$369$	−23.1907	+	24.7829i	−1.20726	+	1.29014i
$370$	−17.2993	−	3.41284i	−0.899348	−	0.177425i
$371$	−5.55806	+	1.07123i	−0.288560	+	0.0556154i
$372$	−4.02028	+	27.1752i	−0.208442	+	1.40897i
$373$	11.6849	−	20.2388i	0.605019	−	1.04792i	−0.387029	−	0.922068i	$-0.626499\pi$
$373$	11.6849	−	20.2388i	0.605019	−	1.04792i	0.992048	−	0.125857i	$-0.0401680\pi$
$374$	−4.57001	+	30.8257i	−0.236309	+	1.59396i
$375$	−20.3680	+	2.04131i	−1.05180	+	0.105413i
$376$	−13.7993	+	9.55562i	−0.711645	+	0.492793i
$377$	19.9981	+	17.3284i	1.02995	+	0.892460i
$378$	18.4893	+	19.0188i	0.950985	+	0.978220i
$379$	11.6840	+	29.1853i	0.600169	+	1.49915i	0.847811	+	0.530298i	$0.177920\pi$
$379$	11.6840	+	29.1853i	0.600169	+	1.49915i	−0.247642	+	0.968852i	$0.579656\pi$
$380$	−5.25065	−	9.28128i	−0.269353	−	0.476120i
$381$	5.45277	−	12.0896i	0.279354	−	0.619368i
$382$	−14.3208	+	27.4821i	−0.732713	+	1.40611i
$383$	−11.4822	−	10.9483i	−0.586713	−	0.559430i	0.337491	−	0.941329i	$-0.390422\pi$
$383$	−11.4822	−	10.9483i	−0.586713	−	0.559430i	−0.924204	+	0.381899i	$0.875270\pi$
$384$	4.12364	+	19.1571i	0.210434	+	0.977608i
$385$	−16.8189	−	8.67075i	−0.857171	−	0.441903i
$386$	22.0264	+	10.1760i	1.12111	+	0.517944i
$387$	−9.30596	−	2.16541i	−0.473048	−	0.110074i
$388$	20.4390	+	4.12537i	1.03763	+	0.209434i
$389$	−3.48155	+	18.0640i	−0.176522	+	0.915882i	0.780344	+	0.625351i	$0.215044\pi$
$389$	−3.48155	+	18.0640i	−0.176522	+	0.915882i	−0.956866	+	0.290531i	$0.906168\pi$
$390$	19.6846	+	11.3568i	0.996768	+	0.575076i
$391$	0.568615	−	5.95481i	0.0287561	−	0.301148i
$392$	−16.0401	−	5.78870i	−0.810145	−	0.292373i
$393$	−8.28482	+	2.05105i	−0.417914	+	0.103462i
$394$	1.37087	+	1.08782i	0.0690633	+	0.0548034i
$395$	4.16781	−	3.97399i	0.209705	−	0.199953i
$396$	0.943667	−	20.0693i	0.0474211	−	1.00852i
$397$	0.573614	+	1.25604i	0.0287889	+	0.0630388i	0.923480	−	0.383646i	$-0.125332\pi$
$397$	0.573614	+	1.25604i	0.0287889	+	0.0630388i	−0.894691	+	0.446685i	$0.852604\pi$
$398$	0.359363	−	0.280067i	0.0180133	−	0.0140385i
$399$	8.00623	+	19.7300i	0.400813	+	0.987736i
$400$	8.47991	+	5.66211i	0.423996	+	0.283106i
$401$			26.3972i			1.31821i	0.752050	+	0.659106i	$0.229065\pi$
$401$			26.3972i			1.31821i	−0.752050	+	0.659106i	$0.770935\pi$
$402$	−15.8073	−	12.3340i	−0.788398	−	0.615166i
$403$		−	46.9965i		−	2.34106i
$404$	−15.5131	+	10.8432i	−0.771804	+	0.539469i
$405$	−5.48100	−	12.9800i	−0.272353	−	0.644980i
$406$	14.0110	+	17.9780i	0.695353	+	0.892231i
$407$	−11.0786	−	24.2588i	−0.549147	−	1.20247i
$408$	12.2342	−	29.8261i	0.605683	−	1.47661i
$409$	−19.6452	+	18.7316i	−0.971391	+	0.926219i	−0.997299	−	0.0734452i	$-0.976601\pi$
$409$	−19.6452	+	18.7316i	−0.971391	+	0.926219i	0.0259086	+	0.999664i	$0.491752\pi$
$410$	−15.5700	+	19.6214i	−0.768949	+	0.969030i
$411$	−4.48573	−	18.1193i	−0.221265	−	0.893757i
$412$	13.1438	+	7.74295i	0.647551	+	0.381468i
$413$	3.66398	−	38.3710i	0.180293	−	1.88811i
$414$	0.0192654	+	3.85665i	0.000946842	+	0.189544i
$415$	2.69399	−	13.9778i	0.132243	−	0.686141i
$416$	−11.7749	−	31.3882i	−0.577313	−	1.53893i
$417$	14.0343	+	13.2566i	0.687262	+	0.649179i
$418$	6.76412	−	14.6412i	0.330844	−	0.716127i
$419$	20.6097	+	10.6250i	1.00685	+	0.519067i	0.881067	−	0.472991i	$-0.156826\pi$
$419$	20.6097	+	10.6250i	1.00685	+	0.519067i	0.125782	+	0.992058i	$0.459856\pi$
$420$	14.7416	+	12.8792i	0.719318	+	0.628442i
$421$	−5.85416	−	5.58193i	−0.285314	−	0.272046i	0.533883	−	0.845558i	$-0.320732\pi$
$421$	−5.85416	−	5.58193i	−0.285314	−	0.272046i	−0.819197	+	0.573512i	$0.805581\pi$
$422$	−2.30067	−	1.19887i	−0.111995	−	0.0583600i
$423$	−17.7058	+	1.85838i	−0.860883	+	0.0903577i
$424$	−2.86026	−	3.38994i	−0.138906	−	0.164630i
$425$	−6.23446	−	15.5729i	−0.302416	−	0.755398i
$426$	−29.8685	−	8.76021i	−1.44713	−	0.424434i
$427$	−14.2020	−	12.3061i	−0.687285	−	0.595536i
$428$	3.64517	+	8.17052i	0.176196	+	0.394937i
$429$	3.42763	+	34.2005i	0.165488	+	1.65122i
$430$	−6.97501	−	1.03407i	−0.336365	−	0.0498671i
$431$	5.43651	−	9.41631i	0.261867	−	0.453568i	−0.704871	−	0.709336i	$-0.748995\pi$
$431$	5.43651	−	9.41631i	0.261867	−	0.453568i	0.966738	+	0.255768i	$0.0823284\pi$
$432$	−5.92467	+	19.9223i	−0.285051	+	0.958512i
$433$	33.0411	−	6.36815i	1.58785	−	0.306034i	0.682563	−	0.730827i	$-0.260865\pi$
$433$	33.0411	−	6.36815i	1.58785	−	0.306034i	0.905290	+	0.424793i	$0.139653\pi$
$434$	7.83521	−	39.7157i	0.376102	−	1.90642i
$435$	−3.46546	−	11.6008i	−0.166156	−	0.556216i
$436$	0.943818	+	6.99925i	0.0452007	+	0.335203i
$437$	−1.15064	+	2.87416i	−0.0550426	+	0.137490i
$438$	10.3482	+	8.13275i	0.494454	+	0.388598i
$439$	−0.643365	+	0.371447i	−0.0307062	+	0.0177282i	−0.515274	−	0.857025i	$-0.672310\pi$
$439$	−0.643365	+	0.371447i	−0.0307062	+	0.0177282i	0.484568	+	0.874753i	$0.338977\pi$
$440$	−0.510792	−	14.8186i	−0.0243510	−	0.706450i
$441$	−11.9722	−	13.5576i	−0.570103	−	0.645601i
$442$	−13.2371	+	53.5393i	−0.629626	+	2.54660i
$443$	−1.25476	−	26.3407i	−0.0596155	−	1.25148i	−0.808385	−	0.588654i	$-0.799658\pi$
$443$	−1.25476	−	26.3407i	−0.0596155	−	1.25148i	0.748770	−	0.662830i	$-0.230645\pi$
$444$	5.11082	+	27.1114i	0.242549	+	1.28665i
$445$	10.8775	−	6.99055i	0.515643	−	0.331384i
$446$	28.5025	−	18.1415i	1.34963	−	0.859026i
$447$	0.481623	−	0.382421i	0.0227800	−	0.0180879i
$448$	−4.71774	−	28.4886i	−0.222892	−	1.34596i
$449$	−4.58218	+	5.82671i	−0.216246	+	0.274980i	−0.882059	−	0.471140i	$-0.843843\pi$
$449$	−4.58218	+	5.82671i	−0.216246	+	0.274980i	0.665812	+	0.746119i	$0.268085\pi$
$450$	5.00368	+	9.58789i	0.235876	+	0.451977i
$451$	−37.8419	−	1.80263i	−1.78190	−	0.0848826i
$452$	−0.00618118	+	0.0592415i	−0.000290738	+	0.00278649i
$453$	−8.88557	−	0.806449i	−0.417481	−	0.0378903i
$454$	−3.02417	−	5.92971i	−0.141931	−	0.278295i
$455$	−28.1725	−	18.1054i	−1.32075	−	0.848794i
$456$	−10.4243	+	13.0273i	−0.488162	+	0.610061i
$457$	9.94629	+	28.7379i	0.465268	+	1.34430i	0.896892	+	0.442250i	$0.145820\pi$
$457$	9.94629	+	28.7379i	0.465268	+	1.34430i	−0.431624	+	0.902054i	$0.642059\pi$
$458$	1.74677	+	19.1808i	0.0816213	+	0.896258i
$459$	26.5778	−	21.5128i	1.24055	−	1.00413i
$460$	0.245714	+	2.83561i	0.0114565	+	0.132211i
$461$	15.4789	−	13.4125i	0.720924	−	0.624684i	−0.215111	−	0.976590i	$-0.569011\pi$
$461$	15.4789	−	13.4125i	0.720924	−	0.624684i	0.936036	+	0.351905i	$0.114466\pi$
$462$	−2.80526	+	29.4736i	−0.130512	+	1.37124i
$463$	−0.890586	−	9.32663i	−0.0413890	−	0.433445i	−0.992289	−	0.123947i	$-0.960445\pi$
$463$	−0.890586	−	9.32663i	−0.0413890	−	0.433445i	0.950900	−	0.309499i	$-0.100161\pi$
$464$	−6.92754	+	16.4620i	−0.321603	+	0.764231i
$465$	−11.5406	+	18.1440i	−0.535183	+	0.841408i
$466$	0.146756	+	3.39356i	0.00679834	+	0.157203i
$467$	−0.164814	−	0.679372i	−0.00762668	−	0.0314376i	0.967871	−	0.251447i	$-0.0809064\pi$
$467$	−0.164814	−	0.679372i	−0.00762668	−	0.0314376i	−0.975498	+	0.220009i	$0.929391\pi$
$468$	5.03878	−	35.1989i	0.232917	−	1.62707i
$469$	22.3966	+	19.2701i	1.03418	+	0.889811i
$470$	−12.9119	+	2.42994i	−0.595582	+	0.112085i
$471$	29.0581	+	30.1906i	1.33893	+	1.39111i
$472$	27.6370	−	12.1850i	1.27209	−	0.560858i
$473$	−4.88686	−	9.47919i	−0.224698	−	0.435854i
$474$	−8.19728	−	3.74053i	−0.376514	−	0.171808i
$475$	0.825243	+	8.64234i	0.0378647	+	0.396538i
$476$	−20.1124	+	43.0381i	−0.921853	+	1.97265i
$477$	−0.933598	−	4.61088i	−0.0427465	−	0.211118i
$478$	−3.27394	+	32.7683i	−0.149746	+	1.49879i
$479$	−12.1898	+	9.58617i	−0.556967	+	0.438003i	−0.856548	−	0.516067i	$-0.827395\pi$
$479$	−12.1898	+	9.58617i	−0.556967	+	0.438003i	0.299581	+	0.954071i	$0.403153\pi$
$480$	−3.16182	+	15.0096i	−0.144316	+	0.685090i
$481$	−15.4371	−	44.6024i	−0.703869	−	2.03370i
$482$	−0.0134212	+	3.06325i	−0.000611317	+	0.139527i
$483$	0.243802	−	5.67801i	0.0110934	−	0.258358i
$484$	0.337079	−	0.260334i	0.0153218	−	0.0118334i
$485$	13.2951	+	9.46743i	0.603702	+	0.429894i
$486$	−15.6622	+	15.5144i	−0.710450	+	0.703747i
$487$	−10.7130	−	0.510323i	−0.485452	−	0.0231249i	−0.196570	−	0.980490i	$-0.562980\pi$
$487$	−10.7130	−	0.510323i	−0.485452	−	0.0231249i	−0.288882	+	0.957365i	$0.593283\pi$
$488$	2.97657	−	14.4212i	0.134743	−	0.652819i
$489$	−5.27488	+	37.9498i	−0.238538	+	1.71615i
$490$	−9.62009	−	9.25354i	−0.434591	−	0.418033i
$491$	0.0927208	+	0.644887i	0.00418443	+	0.0291033i	0.991807	−	0.127748i	$-0.0407748\pi$
$491$	0.0927208	+	0.644887i	0.00418443	+	0.0291033i	−0.987622	+	0.156851i	$0.949866\pi$
$492$	37.5590	+	11.1947i	1.69329	+	0.504697i
$493$	24.7181	−	15.8853i	1.11325	−	0.715439i
$494$	14.3800	−	24.6567i	0.646985	−	1.10936i
$495$	7.07508	−	14.0455i	0.318001	−	0.631300i
$496$	30.1533	−	9.84792i	1.35392	−	0.442185i
$497$	43.3455	+	15.0020i	1.94431	+	0.672933i
$498$	−21.8689	+	4.22184i	−0.979968	+	0.189185i
$499$	17.0120	−	9.82188i	0.761561	−	0.439688i	−0.0682948	−	0.997665i	$-0.521756\pi$
$499$	17.0120	−	9.82188i	0.761561	−	0.439688i	0.829856	+	0.557978i	$0.188423\pi$
$500$	12.6042	+	19.9957i	0.563679	+	0.894234i
$501$	−6.05993	+	0.900305i	−0.270738	+	0.0402227i
$502$	−21.7600	−	1.13213i	−0.971196	−	0.0505295i
$503$	−6.70547	+	27.6403i	−0.298982	+	1.23242i	0.601976	+	0.798514i	$0.294380\pi$
$503$	−6.70547	+	27.6403i	−0.298982	+	1.23242i	−0.900958	+	0.433907i	$0.857135\pi$
$504$	10.1265	−	28.9058i	0.451070	−	1.28757i
$505$	−14.5476	+	2.80382i	−0.647360	+	0.124768i
$506$	−3.26568	+	2.80477i	−0.145177	+	0.124687i
$507$	0.179630	+	38.3140i	0.00797763	+	1.70158i
$508$	−15.3025	+	0.594607i	−0.678940	+	0.0263814i
$509$	−5.49887	−	2.51125i	−0.243733	−	0.111309i	0.289803	−	0.957086i	$-0.406410\pi$
$509$	−5.49887	−	2.51125i	−0.243733	−	0.111309i	−0.533537	+	0.845777i	$0.679137\pi$
$510$	18.2578	−	17.4194i	0.808467	−	0.771346i
$511$	−14.6577	−	12.7009i	−0.648417	−	0.561856i
$512$	17.6715	−	14.1322i	0.780978	−	0.624559i
$513$	−16.3350	+	6.80763i	−0.721206	+	0.300564i
$514$	1.78383	+	5.22803i	0.0786813	+	0.230599i
$515$	6.92648	+	9.72688i	0.305217	+	0.428618i
$516$	2.55735	+	10.7322i	0.112581	+	0.472458i
$517$	−14.3817	−	13.7130i	−0.632508	−	0.603095i
$518$	−5.60946	−	40.2662i	−0.246465	−	1.76920i
$519$	0.658805	+	12.5880i	0.0289183	+	0.552553i
$520$	1.59303	−	26.1931i	0.0698589	−	1.14864i
$521$	3.95655	+	13.4748i	0.173339	+	0.590340i	0.999633	+	0.0270999i	$0.00862721\pi$
$521$	3.95655	+	13.4748i	0.173339	+	0.590340i	−0.826293	+	0.563240i	$0.809555\pi$
$522$	−14.8321	+	11.7844i	−0.649181	+	0.515791i
$523$	−5.11229	+	26.5251i	−0.223545	+	1.15986i	0.680607	+	0.732649i	$0.261716\pi$
$523$	−5.11229	+	26.5251i	−0.223545	+	1.15986i	−0.904152	+	0.427212i	$0.859496\pi$
$524$	6.38833	+	7.50440i	0.279075	+	0.327831i
$525$	−6.68837	−	14.4656i	−0.291904	−	0.631332i
$526$	6.62663	+	5.79303i	0.288935	+	0.252588i
$527$	−50.0707	−	14.7021i	−2.18112	−	0.640433i
$528$	−21.2251	+	9.36578i	−0.923703	+	0.407593i
$529$	−16.0478	+	15.3016i	−0.697732	+	0.665286i
$530$	−0.963534	−	3.33549i	−0.0418532	−	0.144884i
$531$	31.9182	+	2.74606i	1.38513	+	0.119169i
$532$	16.2630	−	18.4395i	0.705088	−	0.799452i
$533$	−66.3657	−	9.54195i	−2.87462	−	0.413308i
$534$	−16.4833	−	11.7301i	−0.713302	−	0.507610i
$535$			7.00320i			0.302775i
$536$	−4.60063	+	22.6900i	−0.198717	+	0.980057i
$537$	−29.2158	+	17.0509i	−1.26075	+	0.735800i
$538$	−7.87285	−	17.4410i	−0.339423	−	0.751933i
$539$	2.87314	−	19.9831i	0.123755	−	0.860734i
$540$	−10.5889	+	12.3519i	−0.455673	+	0.531543i
$541$	−14.1509	−	30.9861i	−0.608393	−	1.33219i	−0.923668	−	0.383194i	$-0.874824\pi$
$541$	−14.1509	−	30.9861i	−0.608393	−	1.33219i	0.315275	−	0.949000i	$-0.397903\pi$
$542$	−35.3795	+	10.2202i	−1.51968	+	0.438995i
$543$	11.7566	−	40.7449i	0.504523	−	1.74853i
$544$	−37.1250	+	2.72589i	−1.59172	+	0.116872i
$545$	−1.55752	+	5.30441i	−0.0667166	+	0.227216i
$546$	−9.90057	+	51.4540i	−0.423705	+	2.20203i
$547$	2.27326	−	23.8067i	0.0971977	−	1.01790i	−0.806932	−	0.590644i	$-0.798874\pi$
$547$	2.27326	−	23.8067i	0.0971977	−	1.01790i	0.904130	−	0.427257i	$-0.140520\pi$
$548$	−16.4124	+	13.9715i	−0.701104	+	0.596835i
$549$	10.1168	−	11.8990i	0.431774	−	0.507838i
$550$	−4.53563	+	11.1871i	−0.193400	+	0.477021i
$551$	−14.5909	+	4.28427i	−0.621592	+	0.182516i
$552$	3.97539	−	2.00709i	0.169204	−	0.0854275i
$553$	11.8017	+	6.08420i	0.501860	+	0.258727i
$554$	18.7225	−	2.60821i	0.795441	−	0.110812i
$555$	−4.99291	+	21.0105i	−0.211937	+	0.891846i
$556$	6.46756	−	21.3331i	0.274286	−	0.904727i
$557$	−24.6429	+	17.5481i	−1.04415	+	0.743538i	−0.967334	−	0.253507i	$-0.918416\pi$
$557$	−24.6429	+	17.5481i	−1.04415	+	0.743538i	−0.0768198	+	0.997045i	$0.524477\pi$
$558$	33.0683	+	6.20223i	1.39989	+	0.262561i
$559$	−7.01489	−	17.5224i	−0.296698	−	0.741117i
$560$	5.71312	−	21.8696i	0.241423	−	0.924161i
$561$	37.5100	+	7.04724i	1.58367	+	0.297535i
$562$	−1.24710	−	5.24073i	−0.0526057	−	0.221067i
$563$	−9.43418	+	20.6580i	−0.397603	+	0.870629i	0.599905	+	0.800072i	$0.295205\pi$
$563$	−9.43418	+	20.6580i	−0.397603	+	0.870629i	−0.997508	+	0.0705579i	$0.977522\pi$
$564$	11.0435	+	17.3389i	0.465014	+	0.730100i
$565$	−0.0233119	+	0.0403775i	−0.000980741	+	0.00169869i
$566$	9.28801	+	10.8143i	0.390404	+	0.454559i
$567$	24.1482	−	21.7306i	1.01413	−	0.912598i
$568$	6.33760	+	35.3788i	0.265920	+	1.48446i
$569$	32.7767	+	7.95154i	1.37407	+	0.333346i	0.853776	−	0.520641i	$-0.174307\pi$
$569$	32.7767	+	7.95154i	1.37407	+	0.333346i	0.520294	+	0.853987i	$0.325822\pi$
$570$	−11.6065	+	5.98807i	−0.486142	+	0.250812i
$571$	1.23893	−	3.09470i	0.0518476	−	0.129509i	−0.900183	−	0.435512i	$-0.856567\pi$
$571$	1.23893	−	3.09470i	0.0518476	−	0.129509i	0.952031	+	0.306003i	$0.0989917\pi$
$572$	33.5754	−	21.1642i	1.40386	−	0.884920i
$573$	32.9579	+	18.8228i	1.37684	+	0.786334i
$574$	−54.4935	−	19.1281i	−2.27451	−	0.798393i
$575$	0.757893	−	2.18979i	0.0316063	−	0.0913205i
$576$	23.6397	−	4.14286i	0.984989	−	0.172619i
$577$	−1.25544	−	26.3550i	−0.0522648	−	1.09717i	−0.860871	−	0.508823i	$-0.830081\pi$
$577$	−1.25544	−	26.3550i	−0.0522648	−	1.09717i	0.808606	−	0.588350i	$-0.200222\pi$
$578$	32.1327	+	18.7400i	1.33655	+	0.779482i
$579$	13.4929	−	26.4766i	0.560746	−	1.10033i
$580$	−10.2022	+	9.55853i	−0.423624	+	0.396897i
$581$	32.4870	−	4.67092i	1.34779	−	0.193783i
$582$	6.01305	−	24.8194i	0.249249	−	1.02880i
$583$	3.24599	−	4.12762i	0.134435	−	0.170948i
$584$	3.07206	−	14.8839i	0.127123	−	0.615900i
$585$	14.8276	−	23.5549i	0.613046	−	0.973876i
$586$	−0.657379	−	0.196156i	−0.0271561	−	0.00810314i
$587$	11.9899	−	16.8375i	0.494877	−	0.694957i	−0.489306	−	0.872112i	$-0.662750\pi$
$587$	11.9899	−	16.8375i	0.494877	−	0.694957i	0.984183	+	0.177155i	$0.0566894\pi$
$588$	−7.84115	+	19.3573i	−0.323364	+	0.798282i
$589$	22.7207	+	14.6017i	0.936189	+	0.601652i
$590$	23.6423	+	0.103585i	0.973338	+	0.00426453i
$591$	1.39598	−	1.62639i	0.0574231	−	0.0669009i
$592$	25.3825	−	19.2508i	1.04321	−	0.791203i
$593$	−19.1681	−	24.3742i	−0.787138	−	1.00093i	−0.999717	−	0.0237837i	$-0.992429\pi$
$593$	−19.1681	−	24.3742i	−0.787138	−	1.00093i	0.212579	−	0.977144i	$-0.431814\pi$
$594$	−24.5170	−	2.10172i	−1.00594	−	0.0862347i
$595$	−28.1031	+	24.3515i	−1.15211	+	0.998312i
$596$	−0.643341	−	0.300645i	−0.0263523	−	0.0123149i
$597$	−0.325802	−	0.453015i	−0.0133342	−	0.0185407i
$598$	−6.22525	+	4.39200i	−0.254570	+	0.179602i
$599$	−6.02819	+	3.10775i	−0.246305	+	0.126979i	−0.576959	−	0.816773i	$-0.695761\pi$
$599$	−6.02819	+	3.10775i	−0.246305	+	0.126979i	0.330654	+	0.943752i	$0.392731\pi$
$600$	7.32956	−	10.1109i	0.299228	−	0.412775i
$601$	−2.25740	−	9.30512i	−0.0920812	−	0.379564i	0.907060	−	0.421002i	$-0.138321\pi$
$601$	−2.25740	−	9.30512i	−0.0920812	−	0.379564i	−0.999141	+	0.0414378i	$0.986806\pi$
$602$	−3.00683	−	15.9773i	−0.122549	−	0.651186i
$603$	−15.8406	+	18.7637i	−0.645079	+	0.764116i
$604$	3.74504	+	9.59755i	0.152383	+	0.390519i
$605$	0.323987	−	0.0785983i	0.0131719	−	0.00319548i
$606$	12.5384	+	19.4970i	0.509339	+	0.792011i
$607$	−2.15699	−	4.18398i	−0.0875495	−	0.169822i	0.840996	−	0.541042i	$-0.181970\pi$
$607$	−2.15699	−	4.18398i	−0.0875495	−	0.169822i	−0.928545	+	0.371220i	$0.878940\pi$
$608$	18.8332	+	4.05958i	0.763787	+	0.164638i
$609$	22.6631	−	16.2990i	0.918355	−	0.660468i
$610$	6.72702	−	9.35972i	0.272369	−	0.378964i
$611$	−23.0305	−	26.5786i	−0.931715	−	1.07526i
$612$	−35.9251	−	16.3798i	−1.45219	−	0.662114i
$613$	14.2598	−	11.2140i	0.575948	−	0.452931i	−0.287207	−	0.957868i	$-0.592727\pi$
$613$	14.2598	−	11.2140i	0.575948	−	0.452931i	0.863156	+	0.504938i	$0.168484\pi$
$614$	16.0137	−	1.45835i	0.646260	−	0.0588542i
$615$	23.2788	+	19.9809i	0.938691	+	0.805706i
$616$	31.9024	−	12.2878i	1.28538	−	0.495088i
$617$	−6.08384	+	9.46665i	−0.244926	+	0.381113i	−0.941851	−	0.336032i	$-0.890915\pi$
$617$	−6.08384	+	9.46665i	−0.244926	+	0.381113i	0.696924	+	0.717145i	$0.254551\pi$
$618$	10.0962	−	15.7206i	0.406129	−	0.632376i
$619$	−9.39492	−	6.69009i	−0.377614	−	0.268898i	0.375453	−	0.926841i	$-0.377487\pi$
$619$	−9.39492	−	6.69009i	−0.377614	−	0.268898i	−0.753067	+	0.657944i	$0.771426\pi$
$620$	24.6958	+	2.57672i	0.991806	+	0.103484i
$621$	4.72082	+	0.158372i	0.189440	+	0.00635523i
$622$	15.7702	−	24.3042i	0.632329	−	0.974508i
$623$	23.4342	+	18.4288i	0.938870	+	0.738335i
$624$	−38.9695	+	12.9297i	−1.56003	+	0.517604i
$625$	0.819216	+	5.69777i	0.0327686	+	0.227911i
$626$	8.89795	+	13.9798i	0.355633	+	0.558744i
$627$	−17.5994	−	8.96891i	−0.702851	−	0.358184i
$628$	16.2253	−	45.5837i	0.647461	−	1.81899i
$629$	−52.3493	+	2.49371i	−2.08730	+	0.0994306i
$630$	16.4575	−	17.4337i	0.655684	−	0.694576i
$631$	11.1193	+	3.84843i	0.442652	+	0.153203i	0.539297	−	0.842115i	$-0.318690\pi$
$631$	11.1193	+	3.84843i	0.442652	+	0.153203i	−0.0966449	+	0.995319i	$0.530811\pi$
$632$	0.358419	+	10.3981i	0.0142571	+	0.413615i
$633$	−1.57576	+	2.75909i	−0.0626308	+	0.109664i
$634$	13.7011	−	5.41558i	0.544142	−	0.215080i
$635$	−11.1286	−	4.45523i	−0.441626	−	0.176800i
$636$	−4.28367	+	3.34056i	−0.169858	+	0.132462i
$637$	8.42359	−	34.7225i	0.333755	−	1.37576i
$638$	−20.7449	−	4.09260i	−0.821300	−	0.162028i
$639$	−12.1302	+	36.1408i	−0.479863	+	1.42971i
$640$	17.1395	−	4.46655i	0.677498	−	0.176556i
$641$	3.67945	+	2.12433i	0.145330	+	0.0839060i	0.570902	−	0.821018i	$-0.306594\pi$
$641$	3.67945	+	2.12433i	0.145330	+	0.0839060i	−0.425572	+	0.904925i	$0.639927\pi$
$642$	10.1713	−	4.07562i	0.401431	−	0.160852i
$643$	11.9899	+	5.47560i	0.472835	+	0.215937i	0.637557	−	0.770404i	$-0.279945\pi$
$643$	11.9899	+	5.47560i	0.472835	+	0.215937i	−0.164721	+	0.986340i	$0.552673\pi$
$644$	−5.99306	+	2.67372i	−0.236160	+	0.105359i
$645$	−1.59459	+	8.48748i	−0.0627871	+	0.334194i
$646$	−21.7711	−	23.0341i	−0.856572	−	0.906264i
$647$	2.29195	−	0.917559i	0.0901059	−	0.0360730i	−0.326172	−	0.945311i	$-0.605759\pi$
$647$	2.29195	−	0.917559i	0.0901059	−	0.0360730i	0.416278	+	0.909238i	$0.363334\pi$
$648$	24.1021	+	8.19072i	0.946821	+	0.321762i
$649$	20.7419	+	29.1279i	0.814191	+	1.14337i
$650$	−9.87278	+	18.9462i	−0.387242	+	0.743133i
$651$	−48.2359	−	11.4627i	−1.89051	−	0.449259i
$652$	41.9338	−	14.1032i	1.64226	−	0.552324i
$653$	17.0150	−	33.0045i	0.665848	−	1.29156i	−0.277808	−	0.960637i	$-0.589608\pi$
$653$	17.0150	−	33.0045i	0.665848	−	1.29156i	0.943656	−	0.330928i	$-0.107362\pi$
$654$	8.61046	−	0.824867i	0.336696	−	0.0322549i
$655$	2.17339	+	7.40188i	0.0849213	+	0.289215i
$656$	−7.78448	−	44.5803i	−0.303933	−	1.74057i
$657$	10.4414	−	12.2808i	0.407356	−	0.479118i
$658$	−15.0314	−	26.3007i	−0.585987	−	1.02531i
$659$	−25.8181	−	2.46533i	−1.00573	−	0.0960356i	−0.420829	−	0.907140i	$-0.638261\pi$
$659$	−25.8181	−	2.46533i	−1.00573	−	0.0960356i	−0.584902	+	0.811104i	$0.698867\pi$
$660$	−18.1597	−	0.0739887i	−0.706864	−	0.00288000i
$661$	16.4577	+	4.83241i	0.640130	+	0.187959i	0.585661	−	0.810556i	$-0.300835\pi$
$661$	16.4577	+	4.83241i	0.640130	+	0.187959i	0.0544692	+	0.998515i	$0.482653\pi$
$662$	−25.0679	−	19.8919i	−0.974290	−	0.773122i
$663$	64.8988	+	18.7260i	2.52046	+	0.727256i
$664$	15.6309	+	20.4231i	0.606596	+	0.792571i
$665$	17.5063	−	7.99485i	0.678864	−	0.310027i
$666$	33.4210	−	4.97574i	1.29504	−	0.192806i
$667$	4.01758	+	0.577641i	0.155561	+	0.0223663i
$668$	4.05279	+	5.79822i	0.156807	+	0.224340i
$669$	−20.8575	−	35.7383i	−0.806399	−	1.38172i
$670$	−10.5250	+	14.7527i	−0.406618	+	0.569945i
$671$	17.4332			0.673001
$672$	−35.0879	+	4.42970i	−1.35355	+	0.170880i
$673$	1.13460	−	7.89131i	0.0437356	−	0.304188i	−0.956199	−	0.292719i	$-0.905440\pi$
$673$	1.13460	−	7.89131i	0.0437356	−	0.304188i	0.999934	−	0.0114691i	$-0.00365080\pi$
$674$	−11.1053	−	14.2496i	−0.427762	−	0.548876i
$675$	11.9701	−	5.67135i	0.460728	−	0.218290i
$676$	39.4997	−	19.9273i	1.51922	−	0.766436i
$677$	−23.0122	−	24.1345i	−0.884431	−	0.927565i	0.113389	−	0.993551i	$-0.463829\pi$
$677$	−23.0122	−	24.1345i	−0.884431	−	0.927565i	−0.997821	+	0.0659857i	$0.978981\pi$
$678$	0.0722103	+	0.0103596i	0.00277322	+	0.000397860i
$679$	−10.6021	+	36.1076i	−0.406873	+	1.38568i
$680$	−27.4081	−	9.89132i	−1.05105	−	0.379315i
$681$	−7.39967	+	3.42133i	−0.283556	+	0.131106i
$682$	18.6344	+	32.6048i	0.713548	+	1.24850i
$683$	−2.07280	−	0.399499i	−0.0793134	−	0.0152864i	0.149440	−	0.988771i	$-0.452253\pi$
$683$	−2.07280	−	0.399499i	−0.0793134	−	0.0152864i	−0.228754	+	0.973484i	$0.573465\pi$
$684$	15.4515	+	13.3722i	0.590804	+	0.511300i
$685$	−16.1882	+	4.75329i	−0.618520	+	0.181614i
$686$	−2.07877	+	4.49959i	−0.0793678	+	0.171795i
$687$	23.5565	−	1.23285i	0.898737	−	0.0470362i
$688$	9.77254	−	8.17255i	0.372575	−	0.311576i
$689$	6.41311	−	6.72588i	0.244320	−	0.256235i
$690$	3.48191	−	0.166935i	0.132554	−	0.00635511i
$691$	9.36437	−	6.66834i	0.356237	−	0.253676i	−0.387901	−	0.921701i	$-0.626800\pi$
$691$	9.36437	−	6.66834i	0.356237	−	0.253676i	0.744138	+	0.668026i	$0.232860\pi$
$692$	12.6685	−	7.16691i	0.481585	−	0.272445i
$693$	35.9385	+	4.82368i	1.36519	+	0.183236i
$694$	−25.7327	−	27.2255i	−0.976800	−	1.03347i
$695$	11.4269	−	13.1873i	0.433447	−	0.500225i
$696$	19.8200	+	9.25482i	0.751275	+	0.350803i
$697$	−30.9276	+	67.7220i	−1.17147	+	2.56515i
$698$	29.5495	+	4.38081i	1.11847	+	0.165816i
$699$	4.16008	−	0.0195039i	0.157349	−	0.000737707i
$700$	−11.5020	+	14.3651i	−0.434734	+	0.542950i
$701$	8.61508	+	44.6993i	0.325387	+	1.68827i	0.664313	+	0.747455i	$0.268724\pi$
$701$	8.61508	+	44.6993i	0.325387	+	1.68827i	−0.338926	+	0.940813i	$0.610064\pi$
$702$	−42.8399	−	7.82725i	−1.61689	−	0.295420i
$703$	26.3595	+	6.39475i	0.994168	+	0.241183i
$704$	20.6147	+	17.1074i	0.776946	+	0.644759i
$705$	2.36469	+	15.9167i	0.0890595	+	0.599457i
$706$	−34.8606	+	13.7792i	−1.31199	+	0.518585i
$707$	−17.0796	−	29.5827i	−0.642343	−	1.11257i
$708$	−13.6085	−	34.3980i	−0.511440	−	1.29275i
$709$	−0.542014	+	1.56605i	−0.0203558	+	0.0588141i	−0.954721	−	0.297503i	$-0.903846\pi$
$709$	−0.542014	+	1.56605i	−0.0203558	+	0.0588141i	0.934365	+	0.356317i	$0.115968\pi$
$710$	−6.75258	+	27.3117i	−0.253420	+	1.02499i
$711$	−4.96453	+	9.85566i	−0.186184	+	0.369616i
$712$	−3.62821	+	23.0773i	−0.135973	+	0.864857i
$713$	−3.89737	−	6.06442i	−0.145958	−	0.227114i
$714$	51.7227	+	26.6448i	1.93567	+	0.997156i
$715$	30.7511	−	4.42133i	1.15002	−	0.165349i
$716$	32.6735	+	21.4049i	1.22107	+	0.799937i
$717$	39.9486	+	5.55271i	1.49191	+	0.207370i
$718$	3.83934	−	5.91697i	0.143283	−	0.220820i
$719$	−0.402216	+	8.44356i	−0.0150001	+	0.314891i	0.978881	+	0.204433i	$0.0655350\pi$
$719$	−0.402216	+	8.44356i	−0.0150001	+	0.314891i	−0.993881	+	0.110459i	$0.964768\pi$
$720$	18.2201	+	4.57767i	0.679022	+	0.170600i
$721$	−15.9701	+	22.4269i	−0.594758	+	0.835220i
$722$	−4.75523	−	9.32393i	−0.176971	−	0.347001i
$723$	3.74828	+	0.160943i	0.139400	+	0.00598554i
$724$	−48.1620	+	8.84549i	−1.78993	+	0.328740i
$725$	10.7560	−	3.72269i	0.399468	−	0.138257i
$726$	−0.302704	−	0.424812i	−0.0112344	−	0.0157662i
$727$	3.54562	+	4.50862i	0.131500	+	0.167216i	0.847344	−	0.531045i	$-0.178200\pi$
$727$	3.54562	+	4.50862i	0.131500	+	0.167216i	−0.715844	+	0.698260i	$0.753958\pi$
$728$	58.2721	−	16.2814i	2.15971	−	0.603429i
$729$	18.2482	+	19.8999i	0.675858	+	0.737032i
$730$	6.94284	−	9.66000i	0.256966	−	0.357533i
$731$	−20.8631	+	1.99218i	−0.771649	+	0.0736835i
$732$	−17.5088	−	4.32320i	−0.647144	−	0.159790i
$733$	−25.4055	+	13.0974i	−0.938374	+	0.483765i	−0.858371	−	0.513029i	$-0.828523\pi$
$733$	−25.4055	+	13.0974i	−0.938374	+	0.483765i	−0.0800026	+	0.996795i	$0.525493\pi$
$734$	0.240825	+	5.56879i	0.00888902	+	0.205548i
$735$	−11.7787	+	11.3368i	−0.434463	+	0.418166i
$736$	−4.12242	−	3.07384i	−0.151954	−	0.113303i
$737$	−27.4091	+	0.0957936i	−1.00963	+	0.00352860i
$738$	15.4725	−	45.4379i	0.569550	−	1.67259i
$739$	−2.00386	+	0.486132i	−0.0737132	+	0.0178826i	−0.272446	−	0.962171i	$-0.587833\pi$
$739$	−2.00386	+	0.486132i	−0.0737132	+	0.0178826i	0.198733	+	0.980054i	$0.436317\pi$
$740$	24.2841	−	5.66642i	0.892702	−	0.208302i
$741$	−29.4974	−	18.7620i	−1.08361	−	0.689238i
$742$	6.54092	−	4.61471i	0.240125	−	0.169411i
$743$	−3.37328	+	0.322109i	−0.123754	+	0.0118170i	−0.156749	−	0.987638i	$-0.550101\pi$
$743$	−3.37328	+	0.322109i	−0.123754	+	0.0118170i	0.0329954	+	0.999456i	$0.489495\pi$
$744$	−10.6297	−	37.3673i	−0.389703	−	1.36995i
$745$	−0.364010	−	0.420090i	−0.0133363	−	0.0153909i
$746$	−3.28570	+	32.8861i	−0.120298	+	1.20404i
$747$	4.13511	+	26.9631i	0.151296	+	0.986528i
$748$	−12.0451	−	42.3926i	−0.440413	−	1.55003i
$749$	−15.2589	+	5.28117i	−0.557549	+	0.192970i
$750$	25.0661	−	14.4822i	0.915284	−	0.528814i
$751$	13.0726	−	20.3414i	0.477027	−	0.742268i	−0.516448	−	0.856319i	$-0.672746\pi$
$751$	13.0726	−	20.3414i	0.477027	−	0.742268i	0.993475	+	0.114050i	$0.0363824\pi$
$752$	12.2271	−	20.3460i	0.445877	−	0.741942i
$753$	−2.41214	+	26.5772i	−0.0879031	+	0.968529i
$754$	−35.8595	−	10.7002i	−1.30593	−	0.389677i
$755$	−0.383715	+	8.05517i	−0.0139648	+	0.293158i
$756$	−34.8982	−	13.7569i	−1.26923	−	0.500333i
$757$	39.1693	+	30.8031i	1.42363	+	1.11956i	0.974053	+	0.226319i	$0.0726691\pi$
$757$	39.1693	+	30.8031i	1.42363	+	1.11956i	0.449581	+	0.893240i	$0.351573\pi$
$758$	−32.0417	−	30.8209i	−1.16381	−	1.11947i
$759$	3.27851	+	4.12898i	0.119002	+	0.149873i
$760$	12.1682	+	8.90828i	0.441388	+	0.323137i
$761$	−7.54071	−	11.7336i	−0.273351	−	0.425342i	0.677253	−	0.735751i	$-0.263170\pi$
$761$	−7.54071	−	11.7336i	−0.273351	−	0.425342i	−0.950603	+	0.310409i	$0.899534\pi$
$762$	0.00575810	+	18.7558i	0.000208594	+	0.679452i
$763$	−12.7320	+	0.606502i	−0.460931	+	0.0219569i
$764$	2.46882	−	43.7562i	0.0893189	−	1.58304i
$765$	−20.4572	−	23.1663i	−0.739631	−	0.837580i
$766$	21.1704	+	7.43119i	0.764919	+	0.268500i
$767$	31.6425	+	54.8063i	1.14254	+	1.97894i
$768$	−16.4617	−	22.2938i	−0.594011	−	0.804457i
$769$	19.7915	+	7.92334i	0.713701	+	0.285723i	0.699959	−	0.714183i	$-0.253201\pi$
$769$	19.7915	+	7.92334i	0.713701	+	0.285723i	0.0137420	+	0.999906i	$0.495626\pi$
$770$	26.7242	+	1.39041i	0.963073	+	0.0501068i
$771$	6.48241	−	1.93647i	0.233458	−	0.0697401i
$772$	−34.3123	−	0.300674i	−1.23493	−	0.0108215i
$773$	−6.71526	−	34.8421i	−0.241531	−	1.25318i	−0.876787	−	0.480880i	$-0.840317\pi$
$773$	−6.71526	−	34.8421i	−0.241531	−	1.25318i	0.635256	−	0.772302i	$-0.280895\pi$
$774$	13.2551	−	2.62345i	0.476444	−	0.0942979i
$775$	−17.5067	−	10.1075i	−0.628859	−	0.363072i
$776$	−28.7457	+	6.57481i	−1.03191	+	0.236022i
$777$	−49.5439	+	4.96537i	−1.77738	+	0.178132i
$778$	−6.02279	−	25.3098i	−0.215928	−	0.907400i
$779$	25.2328	−	29.1202i	0.904058	−	1.04334i
$780$	−31.9809	−	3.18534i	−1.14510	−	0.114054i
$781$	−39.5036	+	15.8149i	−1.41355	+	0.565900i
$782$	2.73184	+	8.00644i	0.0976903	+	0.286310i
$783$	13.7225	+	18.7080i	0.490401	+	0.668568i
$784$	24.0434	−	1.87132i	0.858692	−	0.0668329i
$785$	26.1362	−	27.4109i	0.932842	−	0.978336i
$786$	9.48554	−	7.46422i	0.338338	−	0.266240i
$787$	−23.4440	+	45.4750i	−0.835689	+	1.62101i	−0.0530023	+	0.998594i	$0.516879\pi$
$787$	−23.4440	+	45.4750i	−0.835689	+	1.62101i	−0.782687	+	0.622416i	$0.786151\pi$
$788$	−2.39995	−	0.604538i	−0.0854948	−	0.0215358i
$789$	7.40235	−	7.83660i	0.263531	−	0.278990i
$790$	−3.05996	+	7.54739i	−0.108868	+	0.268524i
$791$	−0.105556	−	0.0203443i	−0.00375314	−	0.000723359i
$792$	10.4608	+	26.4179i	0.371709	+	0.938718i
$793$	30.7134	+	2.93278i	1.09067	+	0.104146i
$794$	−1.47019	−	1.28525i	−0.0521752	−	0.0456118i
$795$	−4.12755	+	1.02185i	−0.146389	+	0.0362411i
$796$	−0.300255	+	0.570093i	−0.0106423	+	0.0202064i
$797$	2.46652	+	2.58681i	0.0873687	+	0.0916297i	0.765967	−	0.642880i	$-0.222261\pi$
$797$	2.46652	+	2.58681i	0.0873687	+	0.0916297i	−0.678598	+	0.734510i	$0.737412\pi$
$798$	−21.7996	−	20.7731i	−0.771698	−	0.735361i
$799$	−35.5220	+	16.2223i	−1.25668	+	0.573905i
$800$	−14.2249	−	2.36434i	−0.502925	−	0.0835921i
$801$	−15.1333	+	19.6194i	−0.534710	+	0.693219i
$802$	−15.3590	−	34.0253i	−0.542347	−	1.20148i
$803$	17.9925			0.634941
$804$	27.5517	+	6.70088i	0.971675	+	0.236322i
$805$	−5.13684			−0.181050
$806$	27.3446	+	60.5773i	0.963173	+	2.13374i
$807$	−21.7163	+	8.81225i	−0.764450	+	0.310206i
$808$	13.6869	−	23.0028i	0.481504	−	0.809236i
$809$	−5.83610	+	2.66526i	−0.205186	+	0.0937054i	−0.515358	−	0.856975i	$-0.672341\pi$
$809$	−5.83610	+	2.66526i	−0.205186	+	0.0937054i	0.310171	+	0.950681i	$0.399614\pi$
$810$	14.6172	+	13.5418i	0.513596	+	0.475810i
$811$	−21.0382	−	22.0643i	−0.738752	−	0.774781i	0.241950	−	0.970289i	$-0.422213\pi$
$811$	−21.0382	−	22.0643i	−0.738752	−	0.774781i	−0.980702	+	0.195508i	$0.937365\pi$
$812$	−28.5202	−	15.0210i	−1.00086	−	0.527132i
$813$	10.8387	+	43.7809i	0.380130	+	1.53546i
$814$	28.3949	+	24.8230i	0.995242	+	0.870046i
$815$	34.4742	+	3.29188i	1.20758	+	0.115310i
$816$	1.58456	+	45.5635i	0.0554707	+	1.59504i
$817$	10.6508	+	2.05277i	0.372624	+	0.0718173i
$818$	14.4233	−	35.5750i	0.504297	−	1.24385i
$819$	62.5042	+	14.5442i	2.18407	+	0.508215i
$820$	8.65282	−	34.3508i	0.302170	−	1.19958i
$821$	−1.16154	+	2.25307i	−0.0405380	+	0.0786327i	−0.908234	−	0.418462i	$-0.862569\pi$
$821$	−1.16154	+	2.25307i	−0.0405380	+	0.0786327i	0.867696	+	0.497094i	$0.165600\pi$
$822$	16.3246	+	20.7453i	0.569385	+	0.723575i
$823$	11.6337	−	12.2011i	0.405525	−	0.425302i	−0.489025	−	0.872270i	$-0.662647\pi$
$823$	11.6337	−	12.2011i	0.405525	−	0.425302i	0.894550	+	0.446967i	$0.147496\pi$
$824$	−21.4473	−	2.33281i	−0.747151	−	0.0812674i
$825$	13.4772	+	6.07865i	0.469218	+	0.211631i
$826$	17.6031	+	51.5911i	0.612491	+	1.79508i
$827$	−20.6713	+	8.27554i	−0.718811	+	0.287769i	−0.702087	−	0.712091i	$-0.747748\pi$
$827$	−20.6713	+	8.27554i	−0.718811	+	0.287769i	−0.0167247	+	0.999860i	$0.505324\pi$
$828$	−2.26880	−	4.95992i	−0.0788463	−	0.172369i
$829$	−21.6403	+	24.9742i	−0.751597	+	0.867389i	−0.994722	−	0.102606i	$-0.967282\pi$
$829$	−21.6403	+	24.9742i	−0.751597	+	0.867389i	0.243125	+	0.969995i	$0.421828\pi$
$830$	4.66038	+	19.5845i	0.161764	+	0.679787i
$831$	−2.30873	−	23.0363i	−0.0800890	−	0.799119i
$832$	33.4406	+	33.6074i	1.15934	+	1.16513i
$833$	−34.3587	−	19.8370i	−1.19046	−	0.687311i
$834$	−25.8031	−	8.92169i	−0.893490	−	0.308933i
$835$	1.04797	+	5.43737i	0.0362664	+	0.188168i
$836$	−0.199862	+	22.8079i	−0.00691238	+	0.788827i
$837$	9.15061	−	40.1775i	0.316291	−	1.38874i
$838$	−32.7475	−	1.70379i	−1.13124	−	0.0588564i
$839$	41.7029	+	16.6953i	1.43975	+	0.576387i	0.954559	−	0.298023i	$-0.0963273\pi$
$839$	41.7029	+	16.6953i	1.43975	+	0.576387i	0.485187	+	0.874410i	$0.338752\pi$
$840$	−26.4953	−	8.02369i	−0.914175	−	0.276843i
$841$	−4.53158	−	7.84893i	−0.156261	−	0.270653i
$842$	10.7937	+	3.78876i	0.371975	+	0.130569i
$843$	−6.47263	+	1.27900i	−0.222929	+	0.0440510i
$844$	3.66306	+	0.206679i	0.126088	+	0.00711417i
$845$	34.5915	−	1.64780i	1.18998	−	0.0566860i
$846$	21.7410	−	12.6974i	0.747471	−	0.436545i
$847$	0.415575	+	0.646647i	0.0142793	+	0.0222191i
$848$	5.65922	+	2.70532i	0.194338	+	0.0929011i
$849$	13.6731	−	10.8568i	0.469261	−	0.372605i
$850$	17.0971	+	16.4456i	0.586425	+	0.564081i
$851$	−5.69083	−	4.47531i	−0.195079	−	0.153412i
$852$	43.5968	−	6.08708i	1.49360	−	0.208540i
$853$	−1.79527	+	37.6874i	−0.0614689	+	1.29039i	0.731800	+	0.681520i	$0.238681\pi$
$853$	−1.79527	+	37.6874i	−0.0614689	+	1.29039i	−0.793269	+	0.608872i	$0.791622\pi$
$854$	25.4663	+	7.59894i	0.871440	+	0.260030i
$855$	6.78084	+	14.4869i	0.231900	+	0.495442i
$856$	−9.45249	−	8.41068i	−0.323080	−	0.287471i
$857$	−2.33505	+	3.63341i	−0.0797638	+	0.124115i	−0.878843	−	0.477110i	$-0.841684\pi$
$857$	−2.33505	+	3.63341i	−0.0797638	+	0.124115i	0.799080	+	0.601225i	$0.205321\pi$
$858$	−24.3175	−	42.0893i	−0.830186	−	1.43690i
$859$	−37.6714	+	13.0382i	−1.28533	+	0.444857i	−0.882455	−	0.470397i	$-0.844111\pi$
$859$	−37.6714	+	13.0382i	−1.28533	+	0.444857i	−0.402876	+	0.915255i	$0.631989\pi$
$860$	9.59228	−	2.72548i	0.327094	−	0.0929381i
$861$	−25.9806	+	65.7887i	−0.885417	+	2.24207i
$862$	−1.52871	+	15.3006i	−0.0520679	+	0.521140i
$863$	1.75395	+	2.02416i	0.0597051	+	0.0689034i	0.784816	−	0.619728i	$-0.212757\pi$
$863$	1.75395	+	2.02416i	0.0597051	+	0.0689034i	−0.725111	+	0.688632i	$0.758212\pi$
$864$	−3.95491	−	29.1266i	−0.134549	−	0.990907i
$865$	11.3418	−	1.08301i	0.385631	−	0.0368233i
$866$	−38.8839	+	27.4331i	−1.32133	+	0.932216i
$867$	24.4507	−	38.4411i	0.830389	−	1.30553i
$868$	13.0090	+	55.7515i	0.441553	+	1.89233i
$869$	−11.9704	+	2.90399i	−0.406069	+	0.0985113i
$870$	11.2168	+	12.9368i	0.380284	+	0.438599i
$871$	−48.3049	−	4.44225i	−1.63675	−	0.150520i
$872$	−5.28903	−	8.47271i	−0.179109	−	0.286922i
$873$	−30.0912	−	8.52991i	−1.01843	−	0.288694i
$874$	−0.189165	−	4.37421i	−0.00639860	−	0.147960i
$875$	−37.9170	+	19.5476i	−1.28183	+	0.660829i
$876$	−18.0705	−	4.46190i	−0.610546	−	0.150753i
$877$	−40.1249	+	3.83147i	−1.35492	+	0.129379i	−0.747110	−	0.664701i	$-0.768559\pi$
$877$	−40.1249	+	3.83147i	−1.35492	+	0.129379i	−0.607813	+	0.794080i	$0.707953\pi$
$878$	0.613158	−	0.853124i	0.0206931	−	0.0287916i
$879$	−0.271077	+	0.795269i	−0.00914320	+	0.0268238i
$880$	9.28052	+	18.8036i	0.312846	+	0.633871i
$881$	0.144317	+	0.183514i	0.00486216	+	0.00618274i	0.788478	−	0.615063i	$-0.210869\pi$
$881$	0.144317	+	0.183514i	0.00486216	+	0.00618274i	−0.783616	+	0.621246i	$0.786627\pi$
$882$	23.3202	+	10.5095i	0.785233	+	0.353874i
$883$	7.42561	−	2.57003i	0.249892	−	0.0864884i	−0.199251	−	0.979949i	$-0.563851\pi$
$883$	7.42561	−	2.57003i	0.249892	−	0.0864884i	0.449142	+	0.893460i	$0.351730\pi$
$884$	−14.0892	−	76.7128i	−0.473870	−	2.58013i
$885$	1.24217	−	28.9294i	0.0417550	−	0.972451i
$886$	16.9435	+	33.2224i	0.569229	+	1.11613i
$887$	−30.7801	+	43.2246i	−1.03349	+	1.45134i	−0.146696	+	0.989182i	$0.546864\pi$
$887$	−30.7801	+	43.2246i	−1.03349	+	1.45134i	−0.886798	+	0.462158i	$0.847075\pi$
$888$	−22.3623	−	31.9722i	−0.750430	−	1.07292i
$889$	1.31510	−	27.6073i	0.0441070	−	0.925920i
$890$	−9.95343	+	15.3397i	−0.333640	+	0.514186i
$891$	−3.72883	+	29.9056i	−0.124920	+	1.00188i
$892$	−26.1836	+	39.9680i	−0.876690	+	1.33823i
$893$	20.0051	−	2.87630i	0.669445	−	0.0962516i
$894$	−0.398291	+	0.773160i	−0.0133209	+	0.0258583i
$895$	16.5302	+	25.7215i	0.552544	+	0.859775i
$896$	22.6570	+	33.9761i	0.756916	+	1.13506i
$897$	5.08140	+	7.82589i	0.169663	+	0.261299i
$898$	2.51608	−	10.1766i	0.0839627	−	0.339598i
$899$	11.5811	−	33.4613i	0.386251	−	1.11600i
$900$	−12.0283	−	9.44719i	−0.400943	−	0.314906i
$901$	−5.15961	−	8.93670i	−0.171891	−	0.297725i
$902$	49.8261	−	19.6945i	1.65903	−	0.655755i
$903$	−19.6954	+	2.92609i	−0.655423	+	0.0973741i
$904$	−0.0265019	−	0.0799574i	−0.000881441	−	0.00265934i
$905$	−37.2496	−	9.03665i	−1.23822	−	0.300388i
$906$	11.9225	−	4.13052i	0.396099	−	0.137227i
$907$	−4.54786	−	23.5966i	−0.151009	−	0.783511i	−0.975900	−	0.218218i	$-0.929975\pi$
$907$	−4.54786	−	23.5966i	−0.151009	−	0.783511i	0.824891	−	0.565292i	$-0.191237\pi$
$908$	7.34824	+	5.88366i	0.243860	+	0.195256i
$909$	24.4527	−	14.4251i	0.811044	−	0.478452i
$910$	46.8482	+	6.94539i	1.55300	+	0.230237i
$911$	18.1748	−	39.7972i	0.602157	−	1.31854i	−0.325654	−	0.945489i	$-0.605585\pi$
$911$	18.1748	−	39.7972i	0.602157	−	1.31854i	0.927811	−	0.373050i	$-0.121688\pi$
$912$	5.85678	−	22.8572i	0.193937	−	0.756879i
$913$	−19.9391	+	23.0110i	−0.659888	+	0.761551i
$914$	−29.5415	−	31.2553i	−0.977146	−	1.03383i
$915$	−11.1374	−	8.67435i	−0.368191	−	0.286765i
$916$	−13.4117	−	23.7072i	−0.443137	−	0.783307i
$917$	−14.4886	+	10.3173i	−0.478456	+	0.340707i
$918$	−21.7410	+	43.1937i	−0.717562	+	1.42560i
$919$	28.2782	−	29.6573i	0.932812	−	0.978305i	−0.0669992	−	0.997753i	$-0.521343\pi$
$919$	28.2782	−	29.6573i	0.932812	−	0.978305i	0.999811	+	0.0194483i	$0.00619099\pi$
$920$	−1.96660	−	3.51206i	−0.0648368	−	0.115789i
$921$	−1.02929	−	19.6669i	−0.0339161	−	0.648047i
$922$	−12.1479	+	26.2947i	−0.400070	+	0.865971i
$923$	−72.2571	+	21.2166i	−2.37837	+	0.698353i
$924$	−13.5331	−	39.6230i	−0.445207	−	1.30350i
$925$	−19.9349	−	3.84214i	−0.655456	−	0.126329i
$926$	6.57459	+	11.5036i	0.216054	+	0.378032i
$927$	−18.7631	−	13.0978i	−0.616262	−	0.430187i
$928$	−0.648896	−	25.2499i	−0.0213010	−	0.828869i
$929$	2.08281	−	7.09340i	0.0683348	−	0.232727i	−0.918243	−	0.396016i	$-0.870392\pi$
$929$	2.08281	−	7.09340i	0.0683348	−	0.232727i	0.986578	+	0.163290i	$0.0522105\pi$
$930$	4.31858	−	30.1020i	0.141612	−	0.987084i
$931$	14.1696	+	14.8606i	0.464389	+	0.487037i
$932$	−2.16368	−	4.28882i	−0.0708738	−	0.140485i
$933$	−29.0003	−	20.4468i	−0.949427	−	0.669398i
$934$	0.607729	+	0.779798i	0.0198855	+	0.0255158i
$935$	4.90942	−	34.1458i	0.160555	−	1.11669i
$936$	13.9854	+	48.3023i	0.457126	+	1.57881i
$937$	33.6572			1.09953			0.549767	−	0.835318i	$-0.314717\pi$
$937$	33.6572			1.09953			0.549767	+	0.835318i	$0.314717\pi$
$938$	−40.0808	−	11.8074i	−1.30869	−	0.385525i
$939$	17.5287	−	10.2301i	0.572028	−	0.333846i
$940$	15.2293	−	10.6449i	0.496725	−	0.347197i
$941$	13.2384	+	1.90339i	0.431559	+	0.0620488i	0.354672	−	0.934991i	$-0.384593\pi$
$941$	13.2384	+	1.90339i	0.431559	+	0.0620488i	0.0768875	+	0.997040i	$0.475502\pi$
$942$	−55.0215	−	22.0077i	−1.79270	−	0.717049i
$943$	−9.35513	+	4.27235i	−0.304645	+	0.139127i
$944$	−28.5336	+	31.7865i	−0.928691	+	1.03456i
$945$	−20.5596	−	20.9638i	−0.668803	−	0.681953i
$946$	11.8145	+	9.37506i	0.384121	+	0.304809i
$947$	40.8260	+	11.9876i	1.32667	+	0.389545i	0.866895	−	0.498491i	$-0.166112\pi$
$947$	40.8260	+	11.9876i	1.32667	+	0.389545i	0.459773	+	0.888036i	$0.347931\pi$
$948$	12.7425	+	0.0519173i	0.413857	+	0.00168619i
$949$	31.6988	+	3.02686i	1.02899	+	0.0982562i
$950$	−6.09221	−	10.6596i	−0.197657	−	0.345843i
$951$	−5.98139	−	17.0234i	−0.193960	−	0.552023i
$952$	0.883027	−	67.1773i	0.0286191	−	2.17723i
$953$	4.15810	+	14.1612i	0.134694	+	0.458726i	0.999023	−	0.0442014i	$-0.0140743\pi$
$953$	4.15810	+	14.1612i	0.134694	+	0.458726i	−0.864328	+	0.502928i	$0.832256\pi$
$954$	3.88620	+	5.40011i	0.125820	+	0.174835i
$955$	15.7196	−	30.4917i	0.508673	−	0.986688i
$956$	−14.8460	−	44.1425i	−0.480155	−	1.42767i
$957$	−5.98738	+	25.1953i	−0.193545	+	0.814449i
$958$	10.1347	−	19.4489i	0.327438	−	0.628366i
$959$	−22.5644	−	31.6872i	−0.728641	−	1.02323i
$960$	−4.65772	−	21.1866i	−0.150327	−	0.683796i
$961$	−29.6036	+	11.8515i	−0.954953	+	0.382306i
$962$	45.8496	+	48.5095i	1.47825	+	1.56401i
$963$	−4.50802	−	12.6403i	−0.145269	−	0.407329i
$964$	−1.76503	−	3.95626i	−0.0568478	−	0.127422i
$965$	−24.4322	−	11.1578i	−0.786502	−	0.359183i
$966$	2.98946	+	7.46067i	0.0961842	+	0.240043i
$967$	24.7423	+	14.2850i	0.795658	+	0.459373i	0.841950	−	0.539555i	$-0.181407\pi$
$967$	24.7423	+	14.2850i	0.795658	+	0.459373i	−0.0462929	+	0.998928i	$0.514741\pi$
$968$	−0.283013	+	0.531692i	−0.00909639	+	0.0170892i
$969$	−29.2171	+	25.5575i	−0.938587	+	0.821026i
$970$	−22.6457	−	4.46759i	−0.727109	−	0.143446i
$971$	−0.583100	+	2.40357i	−0.0187126	+	0.0771343i	−0.980402	−	0.197006i	$-0.936878\pi$
$971$	−0.583100	+	2.40357i	−0.0187126	+	0.0771343i	0.961690	+	0.274140i	$0.0883933\pi$
$972$	11.1612	−	29.1106i	0.357995	−	0.933723i
$973$	37.3504	+	14.9528i	1.19740	+	0.479366i
$974$	14.1057	−	5.57550i	0.451976	−	0.178650i
$975$	22.7213	+	12.9765i	0.727665	+	0.415581i
$976$	4.55418	+	20.3205i	0.145776	+	0.650444i
$977$	34.1821	+	11.8305i	1.09358	+	0.378492i	0.813548	−	0.581498i	$-0.197533\pi$
$977$	34.1821	+	11.8305i	1.09358	+	0.378492i	0.280033	+	0.959990i	$0.409654\pi$
$978$	−15.2817	−	51.9855i	−0.488653	−	1.66231i
$979$	−27.6255	+	1.31596i	−0.882914	+	0.0420584i
$980$	17.7842	+	6.33020i	0.568095	+	0.202211i
$981$	−0.603277	−	10.5767i	−0.0192612	−	0.337688i
$982$	−0.494738	−	0.777295i	−0.0157877	−	0.0248045i
$983$	−5.58678	−	38.8569i	−0.178191	−	1.23934i	−0.860946	−	0.508696i	$-0.830128\pi$
$983$	−5.58678	−	38.8569i	−0.178191	−	1.23934i	0.682755	−	0.730647i	$-0.260781\pi$
$984$	−54.9262	+	7.42372i	−1.75098	+	0.236660i
$985$	−1.52280	−	1.19755i	−0.0485206	−	0.0381570i
$986$	−22.6182	+	34.8578i	−0.720310	+	1.11010i
$987$	−32.8969	+	17.1552i	−1.04712	+	0.546056i
$988$	−4.18907	+	40.1488i	−0.133272	+	1.27730i
$989$	−2.35831	−	1.67935i	−0.0749899	−	0.0534001i
$990$	−0.947287	+	22.2210i	−0.0301068	+	0.706228i
$991$	−25.3722	+	39.4799i	−0.805973	+	1.25412i	0.157820	+	0.987468i	$0.449554\pi$
$991$	−25.3722	+	39.4799i	−0.805973	+	1.25412i	−0.963793	+	0.266651i	$0.914083\pi$
$992$	−33.1369	+	30.2382i	−1.05210	+	0.960065i
$993$	−25.5271	+	29.7405i	−0.810079	+	0.943785i
$994$	−64.6002	+	5.88307i	−2.04899	+	0.186600i
$995$	−0.396452	+	0.311773i	−0.0125684	+	0.00988387i
$996$	25.7320	−	18.1661i	0.815349	−	0.575616i
$997$	7.55928	+	8.72387i	0.239405	+	0.276288i	0.862719	−	0.505684i	$-0.168760\pi$
$997$	7.55928	+	8.72387i	0.239405	+	0.276288i	−0.623314	+	0.781971i	$0.714214\pi$
$998$	−16.2132	+	22.5585i	−0.513221	+	0.714076i
$999$	−4.51275	−	41.1366i	−0.142777	−	1.30150i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.bd.a.23.19	yes	2640
3.2	odd	2	inner	804.2.bd.a.23.114	yes	2640
4.3	odd	2	inner	804.2.bd.a.23.1	✓	2640
12.11	even	2	inner	804.2.bd.a.23.132	yes	2640
67.35	even	33	inner	804.2.bd.a.35.132	yes	2640
201.35	odd	66	inner	804.2.bd.a.35.1	yes	2640
268.35	odd	66	inner	804.2.bd.a.35.114	yes	2640
804.35	even	66	inner	804.2.bd.a.35.19	yes	2640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.bd.a.23.1	✓	2640	4.3	odd	2	inner
804.2.bd.a.23.19	yes	2640	1.1	even	1	trivial
804.2.bd.a.23.114	yes	2640	3.2	odd	2	inner
804.2.bd.a.23.132	yes	2640	12.11	even	2	inner
804.2.bd.a.35.1	yes	2640	201.35	odd	66	inner
804.2.bd.a.35.19	yes	2640	804.35	even	66	inner
804.2.bd.a.35.114	yes	2640	268.35	odd	66	inner
804.2.bd.a.35.132	yes	2640	67.35	even	33	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +O(q^{10})\)	\(q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +(-1.45717 + 1.66685i) q^{10} +(-3.33341 - 0.318302i) q^{11} +(3.26894 + 1.14632i) q^{12} +(-5.81919 - 1.12156i) q^{13} +(-4.73069 - 1.91797i) q^{14} +(1.97121 + 1.86198i) q^{15} +(-0.499788 - 3.96865i) q^{16} +(-3.01536 + 5.84899i) q^{17} +(1.55714 - 3.94656i) q^{18} +(2.35023 - 2.46485i) q^{19} +(0.908411 - 2.99638i) q^{20} +(-2.57047 + 5.69910i) q^{21} +(4.48189 - 1.52924i) q^{22} +(-0.843917 + 0.337853i) q^{23} +(-4.88056 + 0.424425i) q^{24} +(-1.66932 + 1.92650i) q^{25} +(8.15336 - 1.94020i) q^{26} +(-4.75648 - 2.09187i) q^{27} +(7.21370 - 0.280301i) q^{28} +(-3.86686 - 2.23253i) q^{29} +(-3.62422 - 1.25311i) q^{30} +(1.50080 + 7.78687i) q^{31} +(2.95335 + 4.82470i) q^{32} +(-1.66009 - 5.55724i) q^{33} +(0.483532 - 9.29367i) q^{34} +(5.24610 + 2.10022i) q^{35} +(0.289171 + 5.99303i) q^{36} +(3.98212 + 6.89723i) q^{37} +(-1.59523 + 4.54460i) q^{38} +(-1.98983 - 10.0699i) q^{39} +(0.572506 + 4.39081i) q^{40} +(11.3009 - 0.538328i) q^{41} +(-0.00271441 - 8.84161i) q^{42} +(1.72186 + 2.67927i) q^{43} +(-4.88727 + 4.57891i) q^{44} +(-1.70458 + 4.37633i) q^{45} +(0.891210 - 0.926512i) q^{46} +(4.66470 + 3.66836i) q^{47} +(6.04397 - 3.38680i) q^{48} +(-0.286872 + 6.02219i) q^{49} +(1.03079 - 3.45449i) q^{50} +(-11.3511 - 1.03022i) q^{51} +(-9.38059 + 7.24485i) q^{52} +(-0.847806 + 1.31921i) q^{53} +(7.34812 - 0.0711589i) q^{54} +(-4.95397 + 1.71458i) q^{55} +(-9.13519 + 4.55855i) q^{56} +(5.48658 + 2.16671i) q^{57} +(6.28328 + 0.627772i) q^{58} +(-6.99305 - 8.07041i) q^{59} +(5.40065 - 0.493503i) q^{60} +(-5.18258 + 0.494876i) q^{61} +(-6.46523 - 9.16386i) q^{62} +(-10.8208 - 0.413808i) q^{63} +(-6.61402 - 4.50053i) q^{64} +(-9.01623 + 2.18731i) q^{65} +(5.37327 + 6.19724i) q^{66} +(8.14552 - 0.806540i) q^{67} +(4.78420 + 12.2607i) q^{68} +(-1.09185 - 1.13441i) q^{69} +(-7.98410 + 0.345276i) q^{70} +(11.2948 - 5.82286i) q^{71} +(-3.85974 - 7.55661i) q^{72} +(-5.34884 + 0.510753i) q^{73} +(-9.14596 - 6.57339i) q^{74} +(-4.17910 - 1.42450i) q^{75} +(-0.588032 - 6.78605i) q^{76} +(-7.47164 - 9.50097i) q^{77} +(8.42395 + 11.8221i) q^{78} +(3.47616 - 1.20311i) q^{79} +(-3.29271 - 5.32654i) q^{80} +(0.259583 - 8.99626i) q^{81} +(-14.2533 + 7.26924i) q^{82} +(5.27433 - 7.40676i) q^{83} +(5.14794 + 11.3950i) q^{84} +(-0.490187 + 10.2903i) q^{85} +(-3.77836 - 2.45166i) q^{86} +(1.06472 - 7.66008i) q^{87} +(3.63535 - 8.74573i) q^{88} +(8.17520 - 1.17542i) q^{89} +(-0.349175 - 6.63279i) q^{90} +(-11.5650 - 17.9955i) q^{91} +(-0.609663 + 1.71280i) q^{92} +(-11.5201 + 7.48005i) q^{93} +(-8.14711 - 2.01430i) q^{94} +(1.74385 - 5.03854i) q^{95} +(-5.81995 + 7.88215i) q^{96} +(5.21280 + 9.02883i) q^{97} +(-3.13420 - 7.92937i) q^{98} +(7.83790 - 6.28362i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Introduction

L-functions

Modular forms

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