LMFDB - Embedded newform 92.2.h.a.11.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [92,2,Mod(7,92)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(92, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 19]))

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

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

chi := DirichletCharacter("92.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 92 = 2^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	92.h (of order $22$, degree $10$, 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:	$0.734623698596$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.8
Character	$\chi$	$=$	92.11
Dual form			92.2.h.a.67.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.630624 - 1.26582i) q^{2} +(0.942266 + 0.135477i) q^{3} +(-1.20463 - 1.59652i) q^{4} +(0.224821 + 0.765671i) q^{5} +(0.765707 - 1.10731i) q^{6} +(0.326270 + 0.376536i) q^{7} +(-2.78058 + 0.518040i) q^{8} +(-2.00897 - 0.589886i) q^{9} +O(q^{10})$	\(q+(0.630624 - 1.26582i) q^{2} +(0.942266 + 0.135477i) q^{3} +(-1.20463 - 1.59652i) q^{4} +(0.224821 + 0.765671i) q^{5} +(0.765707 - 1.10731i) q^{6} +(0.326270 + 0.376536i) q^{7} +(-2.78058 + 0.518040i) q^{8} +(-2.00897 - 0.589886i) q^{9} +(1.11098 + 0.198266i) q^{10} +(1.90627 + 1.22508i) q^{11} +(-0.918785 - 1.66755i) q^{12} +(-1.73870 + 2.00657i) q^{13} +(0.682382 - 0.175548i) q^{14} +(0.108110 + 0.751924i) q^{15} +(-1.09775 + 3.84642i) q^{16} +(-1.98209 + 0.905190i) q^{17} +(-2.01360 + 2.17100i) q^{18} +(1.56869 - 3.43496i) q^{19} +(0.951583 - 1.28128i) q^{20} +(0.256421 + 0.398999i) q^{21} +(2.75288 - 1.64043i) q^{22} +(2.43504 + 4.13166i) q^{23} +(-2.69023 + 0.111426i) q^{24} +(3.67056 - 2.35893i) q^{25} +(1.44349 + 3.46628i) q^{26} +(-4.41085 - 2.01437i) q^{27} +(0.208114 - 0.974481i) q^{28} +(0.412317 + 0.902848i) q^{29} +(1.01998 + 0.337333i) q^{30} +(-8.24246 + 1.18509i) q^{31} +(4.17662 + 3.81521i) q^{32} +(1.63024 + 1.41261i) q^{33} +(-0.104142 + 3.07981i) q^{34} +(-0.214950 + 0.334469i) q^{35} +(1.47829 + 3.91795i) q^{36} +(1.88484 - 6.41916i) q^{37} +(-3.35880 - 4.15186i) q^{38} +(-1.91016 + 1.65516i) q^{39} +(-1.02178 - 2.01254i) q^{40} +(-0.272870 + 0.0801218i) q^{41} +(0.666768 - 0.0729656i) q^{42} +(1.81495 - 12.6232i) q^{43} +(-0.340467 - 4.51916i) q^{44} -1.67083i q^{45} +(6.76555 - 0.476811i) q^{46} -0.0264499i q^{47} +(-1.55548 + 3.47563i) q^{48} +(0.960877 - 6.68305i) q^{49} +(-0.671242 - 6.13388i) q^{50} +(-1.99029 + 0.584402i) q^{51} +(5.29800 + 0.358708i) q^{52} +(-5.21592 + 4.51962i) q^{53} +(-5.33143 + 4.31306i) q^{54} +(-0.509441 + 1.73500i) q^{55} +(-1.10228 - 0.877967i) q^{56} +(1.94349 - 3.02412i) q^{57} +(1.40286 + 0.0474371i) q^{58} +(-4.01034 - 3.47498i) q^{59} +(1.07023 - 1.07839i) q^{60} +(8.30030 - 1.19340i) q^{61} +(-3.69779 + 11.1809i) q^{62} +(-0.433353 - 0.948910i) q^{63} +(7.46327 - 2.88091i) q^{64} +(-1.92726 - 0.880152i) q^{65} +(2.81618 - 1.17277i) q^{66} +(1.06804 - 0.686390i) q^{67} +(3.83283 + 2.07403i) q^{68} +(1.73471 + 4.22301i) q^{69} +(0.287826 + 0.483013i) q^{70} +(5.66952 + 8.82195i) q^{71} +(5.89168 + 0.599501i) q^{72} +(-4.66753 + 10.2205i) q^{73} +(-6.93691 - 6.43395i) q^{74} +(3.77823 - 1.72546i) q^{75} +(-7.37367 + 1.63339i) q^{76} +(0.160670 + 1.11748i) q^{77} +(0.890554 + 3.46172i) q^{78} +(-5.81816 + 6.71451i) q^{79} +(-3.19189 + 0.0242376i) q^{80} +(1.40090 + 0.900307i) q^{81} +(-0.0706582 + 0.395932i) q^{82} +(17.3091 + 5.08240i) q^{83} +(0.328119 - 0.890026i) q^{84} +(-1.13869 - 1.31412i) q^{85} +(-14.8342 - 10.2579i) q^{86} +(0.266197 + 0.906583i) q^{87} +(-5.93517 - 2.41892i) q^{88} +(-10.4094 - 1.49664i) q^{89} +(-2.11497 - 1.05366i) q^{90} -1.32283 q^{91} +(3.66296 - 8.86469i) q^{92} -7.92714 q^{93} +(-0.0334809 - 0.0166799i) q^{94} +(2.98272 + 0.428851i) q^{95} +(3.41861 + 4.16078i) q^{96} +(3.67994 + 12.5327i) q^{97} +(-7.85361 - 5.43079i) q^{98} +(-3.10697 - 3.58563i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	$ 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) $ 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$-1$

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 $

$2$	0.630624	−	1.26582i	0.445919	−	0.895073i
$2$	0.630624	−	1.26582i	0.445919	−	0.895073i
$3$	0.942266	+	0.135477i	0.544018	+	0.0782179i	0.408844	−	0.912604i	$-0.365932\pi$
$3$	0.942266	+	0.135477i	0.544018	+	0.0782179i	0.135173	+	0.990822i	$0.456841\pi$
$4$	−1.20463	−	1.59652i	−0.602313	−	0.798260i
$5$	0.224821	+	0.765671i	0.100543	+	0.342418i	0.994366	−	0.106002i	$-0.0338050\pi$
$5$	0.224821	+	0.765671i	0.100543	+	0.342418i	−0.893823	+	0.448420i	$0.851987\pi$
$6$	0.765707	−	1.10731i	0.312598	−	0.452057i
$7$	0.326270	+	0.376536i	0.123318	+	0.142317i	0.814051	−	0.580793i	$-0.197257\pi$
$7$	0.326270	+	0.376536i	0.123318	+	0.142317i	−0.690733	+	0.723110i	$0.742712\pi$
$8$	−2.78058	+	0.518040i	−0.983084	+	0.183155i
$9$	−2.00897	−	0.589886i	−0.669656	−	0.196629i
$10$	1.11098	+	0.198266i	0.351324	+	0.0626973i
$11$	1.90627	+	1.22508i	0.574761	+	0.369376i	0.795497	−	0.605957i	$-0.207210\pi$
$11$	1.90627	+	1.22508i	0.574761	+	0.369376i	−0.220737	+	0.975333i	$0.570846\pi$
$12$	−0.918785	−	1.66755i	−0.265230	−	0.481379i
$13$	−1.73870	+	2.00657i	−0.482228	+	0.556521i	−0.943772	−	0.330596i	$-0.892750\pi$
$13$	−1.73870	+	2.00657i	−0.482228	+	0.556521i	0.461544	+	0.887117i	$0.347296\pi$
$14$	0.682382	−	0.175548i	0.182374	−	0.0469172i
$15$	0.108110	+	0.751924i	0.0279140	+	0.194146i
$16$	−1.09775	+	3.84642i	−0.274439	+	0.961605i
$17$	−1.98209	+	0.905190i	−0.480728	+	0.219541i	−0.641013	−	0.767530i	$-0.721486\pi$
$17$	−1.98209	+	0.905190i	−0.480728	+	0.219541i	0.160286	+	0.987071i	$0.448758\pi$
$18$	−2.01360	+	2.17100i	−0.474609	+	0.511711i
$19$	1.56869	−	3.43496i	0.359883	−	0.788033i	−0.639925	−	0.768437i	$-0.721035\pi$
$19$	1.56869	−	3.43496i	0.359883	−	0.788033i	0.999808	−	0.0195962i	$-0.00623805\pi$
$20$	0.951583	−	1.28128i	0.212781	−	0.286502i
$21$	0.256421	+	0.398999i	0.0559557	+	0.0870687i
$22$	2.75288	−	1.64043i	0.586915	−	0.349741i
$23$	2.43504	+	4.13166i	0.507741	+	0.861510i
$23$	2.43504	+	4.13166i	0.507741	+	0.861510i
$24$	−2.69023	+	0.111426i	−0.549141	+	0.0227447i
$25$	3.67056	−	2.35893i	0.734112	−	0.471785i
$26$	1.44349	+	3.46628i	0.283093	+	0.679793i
$27$	−4.41085	−	2.01437i	−0.848869	−	0.387666i
$28$	0.208114	−	0.974481i	0.0393298	−	0.184160i
$29$	0.412317	+	0.902848i	0.0765653	+	0.167655i	0.944044	−	0.329820i	$-0.106988\pi$
$29$	0.412317	+	0.902848i	0.0765653	+	0.167655i	−0.867479	+	0.497475i	$0.834261\pi$
$30$	1.01998	+	0.337333i	0.186222	+	0.0615883i
$31$	−8.24246	+	1.18509i	−1.48039	+	0.212848i	−0.834680	−	0.550735i	$-0.814347\pi$
$31$	−8.24246	+	1.18509i	−1.48039	+	0.212848i	−0.645710	+	0.763583i	$0.723438\pi$
$32$	4.17662	+	3.81521i	0.738329	+	0.674440i
$33$	1.63024	+	1.41261i	0.283788	+	0.245904i
$34$	−0.104142	+	3.07981i	−0.0178602	+	0.528184i
$35$	−0.214950	+	0.334469i	−0.0363332	+	0.0565355i
$36$	1.47829	+	3.91795i	0.246381	+	0.652992i
$37$	1.88484	−	6.41916i	0.309865	−	1.05530i	−0.646448	−	0.762958i	$-0.723746\pi$
$37$	1.88484	−	6.41916i	0.309865	−	1.05530i	0.956313	−	0.292345i	$-0.0944357\pi$
$38$	−3.35880	−	4.15186i	−0.544869	−	0.673520i
$39$	−1.91016	+	1.65516i	−0.305871	+	0.265038i
$40$	−1.02178	−	2.01254i	−0.161558	−	0.318211i
$41$	−0.272870	+	0.0801218i	−0.0426151	+	0.0125129i	−0.302971	−	0.953000i	$-0.597978\pi$
$41$	−0.272870	+	0.0801218i	−0.0426151	+	0.0125129i	0.260356	+	0.965513i	$0.416160\pi$
$42$	0.666768	−	0.0729656i	0.102885	−	0.0112588i
$43$	1.81495	−	12.6232i	0.276777	−	1.92502i	−0.0925187	−	0.995711i	$-0.529492\pi$
$43$	1.81495	−	12.6232i	0.276777	−	1.92502i	0.369295	−	0.929312i	$-0.379599\pi$
$44$	−0.340467	−	4.51916i	−0.0513273	−	0.681289i
$45$		−	1.67083i		−	0.249072i
$46$	6.76555	−	0.476811i	0.997526	−	0.0703019i
$47$		−	0.0264499i		−	0.00385811i	−0.999998	−	0.00192905i	$-0.999386\pi$
$47$		−	0.0264499i		−	0.00385811i	0.999998	−	0.00192905i	$-0.000614038\pi$
$48$	−1.55548	+	3.47563i	−0.224514	+	0.501664i
$49$	0.960877	−	6.68305i	0.137268	−	0.954721i
$50$	−0.671242	−	6.13388i	−0.0949280	−	0.867462i
$51$	−1.99029	+	0.584402i	−0.278696	+	0.0818326i
$52$	5.29800	+	0.358708i	0.734701	+	0.0497439i
$53$	−5.21592	+	4.51962i	−0.716461	+	0.620817i	−0.934849	−	0.355045i	$-0.884466\pi$
$53$	−5.21592	+	4.51962i	−0.716461	+	0.620817i	0.218388	+	0.975862i	$0.429920\pi$
$54$	−5.33143	+	4.31306i	−0.725516	+	0.586933i
$55$	−0.509441	+	1.73500i	−0.0686930	+	0.233947i
$56$	−1.10228	−	0.877967i	−0.147298	−	0.117323i
$57$	1.94349	−	3.02412i	0.257421	−	0.400555i
$58$	1.40286	+	0.0474371i	0.184205	+	0.00622880i
$59$	−4.01034	−	3.47498i	−0.522102	−	0.452404i	0.353502	−	0.935434i	$-0.384991\pi$
$59$	−4.01034	−	3.47498i	−0.522102	−	0.452404i	−0.875604	+	0.483030i	$0.839536\pi$
$60$	1.07023	−	1.07839i	0.138166	−	0.139219i
$61$	8.30030	−	1.19340i	1.06274	−	0.152800i	0.411303	−	0.911499i	$-0.365074\pi$
$61$	8.30030	−	1.19340i	1.06274	−	0.152800i	0.651441	+	0.758699i	$0.274165\pi$
$62$	−3.69779	+	11.1809i	−0.469619	+	1.41997i
$63$	−0.433353	−	0.948910i	−0.0545973	−	0.119551i
$64$	7.46327	−	2.88091i	0.932909	−	0.360113i
$65$	−1.92726	−	0.880152i	−0.239048	−	0.109169i
$66$	2.81618	−	1.17277i	0.346648	−	0.144358i
$67$	1.06804	−	0.686390i	0.130482	−	0.0838559i	−0.473771	−	0.880648i	$-0.657108\pi$
$67$	1.06804	−	0.686390i	0.130482	−	0.0838559i	0.604254	+	0.796792i	$0.293471\pi$
$68$	3.83283	+	2.07403i	0.464799	+	0.251513i
$69$	1.73471	+	4.22301i	0.208834	+	0.508391i
$70$	0.287826	+	0.483013i	0.0344018	+	0.0577311i
$71$	5.66952	+	8.82195i	0.672848	+	1.04697i	0.994960	+	0.100271i	$0.0319709\pi$
$71$	5.66952	+	8.82195i	0.672848	+	1.04697i	−0.322112	+	0.946702i	$0.604393\pi$
$72$	5.89168	+	0.599501i	0.694342	+	0.0706518i
$73$	−4.66753	+	10.2205i	−0.546293	+	1.19622i	0.412198	+	0.911094i	$0.364761\pi$
$73$	−4.66753	+	10.2205i	−0.546293	+	1.19622i	−0.958492	+	0.285121i	$0.907966\pi$
$74$	−6.93691	−	6.43395i	−0.806399	−	0.747932i
$75$	3.77823	−	1.72546i	0.436272	−	0.199239i
$76$	−7.37367	+	1.63339i	−0.845818	+	0.187362i
$77$	0.160670	+	1.11748i	0.0183100	+	0.127349i
$78$	0.890554	+	3.46172i	0.100835	+	0.391962i
$79$	−5.81816	+	6.71451i	−0.654594	+	0.755441i	−0.981884	−	0.189482i	$-0.939319\pi$
$79$	−5.81816	+	6.71451i	−0.654594	+	0.755441i	0.327291	+	0.944924i	$0.393864\pi$
$80$	−3.19189	+	0.0242376i	−0.356864	+	0.00270985i
$81$	1.40090	+	0.900307i	0.155656	+	0.100034i
$82$	−0.0706582	+	0.395932i	−0.00780289	+	0.0437234i
$83$	17.3091	+	5.08240i	1.89992	+	0.557866i	0.989577	+	0.144007i	$0.0459987\pi$
$83$	17.3091	+	5.08240i	1.89992	+	0.557866i	0.910341	+	0.413859i	$0.135819\pi$
$84$	0.328119	−	0.890026i	0.0358007	−	0.0971098i
$85$	−1.13869	−	1.31412i	−0.123509	−	0.142537i
$86$	−14.8342	−	10.2579i	−1.59962	−	1.10614i
$87$	0.266197	+	0.906583i	0.0285393	+	0.0971959i
$88$	−5.93517	−	2.41892i	−0.632691	−	0.257858i
$89$	−10.4094	−	1.49664i	−1.10339	−	0.158644i	−0.433538	−	0.901135i	$-0.642735\pi$
$89$	−10.4094	−	1.49664i	−1.10339	−	0.158644i	−0.669856	+	0.742491i	$0.733644\pi$
$90$	−2.11497	−	1.05366i	−0.222938	−	0.111066i
$91$	−1.32283			−0.138670
$92$	3.66296	−	8.86469i	0.381890	−	0.924208i
$93$	−7.92714			−0.822007
$94$	−0.0334809	−	0.0166799i	−0.00345329	−	0.00172040i
$95$	2.98272	+	0.428851i	0.306021	+	0.0439991i
$96$	3.41861	+	4.16078i	0.348911	+	0.424658i
$97$	3.67994	+	12.5327i	0.373641	+	1.27250i	0.905019	+	0.425370i	$0.139856\pi$
$97$	3.67994	+	12.5327i	0.373641	+	1.27250i	−0.531378	+	0.847135i	$0.678326\pi$
$98$	−7.85361	−	5.43079i	−0.793335	−	0.548593i
$99$	−3.10697	−	3.58563i	−0.312262	−	0.360369i
$100$	−8.18772	−	3.01850i	−0.818772	−	0.301850i
$101$	−11.8487	−	3.47910i	−1.17899	−	0.346183i	−0.367206	−	0.930139i	$-0.619686\pi$
$101$	−11.8487	−	3.47910i	−1.17899	−	0.346183i	−0.811785	+	0.583956i	$0.801504\pi$
$102$	−0.515375	+	2.88790i	−0.0510297	+	0.285944i
$103$	8.76377	+	5.63213i	0.863520	+	0.554951i	0.895764	−	0.444529i	$-0.146629\pi$
$103$	8.76377	+	5.63213i	0.863520	+	0.554951i	−0.0322442	+	0.999480i	$0.510265\pi$
$104$	3.79511	−	6.48013i	0.372141	−	0.635430i
$105$	−0.247853	+	0.286037i	−0.0241880	+	0.0279144i
$106$	2.43176	+	9.45262i	0.236193	+	0.918119i
$107$	0.223272	+	1.55289i	0.0215845	+	0.150124i	0.997763	−	0.0668432i	$-0.0212927\pi$
$107$	0.223272	+	1.55289i	0.0215845	+	0.150124i	−0.976179	+	0.216967i	$0.930384\pi$
$108$	2.09744	+	9.46858i	0.201827	+	0.911114i
$109$	4.57990	−	2.09157i	0.438675	−	0.200336i	−0.183820	−	0.982960i	$-0.558846\pi$
$109$	4.57990	−	2.09157i	0.438675	−	0.200336i	0.622495	+	0.782624i	$0.286119\pi$
$110$	1.87494	+	1.73899i	0.178768	+	0.165807i
$111$	2.64567	−	5.79321i	0.251116	−	0.549867i
$112$	−1.80648	+	0.841627i	−0.170696	+	0.0795263i
$113$	8.02817	+	12.4921i	0.755227	+	1.17516i	0.979660	+	0.200666i	$0.0643107\pi$
$113$	8.02817	+	12.4921i	0.755227	+	1.17516i	−0.224433	+	0.974490i	$0.572053\pi$
$114$	−2.60240	−	4.36720i	−0.243737	−	0.409025i
$115$	−2.61604	+	2.79332i	−0.243947	+	0.260479i
$116$	0.944728	−	1.74587i	0.0877158	−	0.162100i
$117$	4.67663	−	3.00549i	0.432355	−	0.277858i
$118$	−6.92773	+	2.88498i	−0.637749	+	0.265584i
$119$	−0.987533	−	0.450991i	−0.0905270	−	0.0413423i
$120$	−0.690136	−	2.03478i	−0.0630005	−	0.185749i
$121$	−2.43654	−	5.33529i	−0.221504	−	0.485026i
$122$	3.72373	−	11.2593i	0.337131	−	1.01937i
$123$	−0.267971	+	0.0385283i	−0.0241621	+	0.00347398i
$124$	11.8211	+	11.7317i	1.06157	+	1.05354i
$125$	5.64680	+	4.89298i	0.505065	+	0.437642i
$126$	−1.47444	−	0.0498573i	−0.131353	−	0.00444164i
$127$	−1.69756	+	2.64146i	−0.150634	+	0.234392i	−0.908367	−	0.418173i	$-0.862671\pi$
$127$	−1.69756	+	2.64146i	−0.150634	+	0.234392i	0.757733	+	0.652565i	$0.226307\pi$
$128$	1.05980	−	11.2640i	0.0936738	−	0.995603i
$129$	3.42032	−	11.6485i	0.301143	−	1.02560i
$130$	−2.32950	+	1.88453i	−0.204311	+	0.165285i
$131$	−2.71127	+	2.34933i	−0.236885	+	0.205262i	−0.765211	−	0.643780i	$-0.777365\pi$
$131$	−2.71127	+	2.34933i	−0.236885	+	0.205262i	0.528326	+	0.849042i	$0.322820\pi$
$132$	0.291433	−	4.30437i	0.0253660	−	0.374648i
$133$	1.80520	−	0.530055i	0.156531	−	0.0459616i
$134$	−0.195315	−	1.78481i	−0.0168726	−	0.154184i
$135$	0.550690	−	3.83013i	0.0473959	−	0.329645i
$136$	5.04244	−	3.54376i	0.432386	−	0.303875i
$137$		−	5.34815i		−	0.456924i	−0.973553	−	0.228462i	$-0.926630\pi$
$137$		−	5.34815i		−	0.456924i	0.973553	−	0.228462i	$-0.0733696\pi$
$138$	6.43954	+	0.467297i	0.548170	+	0.0397789i
$139$		−	12.6230i		−	1.07067i	−0.844640	−	0.535335i	$-0.820186\pi$
$139$		−	12.6230i		−	1.07067i	0.844640	−	0.535335i	$-0.179814\pi$
$140$	0.792920	−	0.0597375i	0.0670140	−	0.00504874i
$141$	0.00358336	−	0.0249228i	0.000301773	−	0.00209888i
$142$	14.7424	−	1.61329i	1.23715	−	0.135384i
$143$	−5.77263	+	1.69500i	−0.482731	+	0.141743i
$144$	4.47430	−	7.07978i	0.372859	−	0.589982i
$145$	−0.598587	+	0.518678i	−0.0497099	+	0.0430739i
$146$	9.99386	+	12.3536i	0.827098	+	1.02239i
$147$	1.81080	−	6.16703i	0.149353	−	0.508648i
$148$	−12.5188	+	4.72351i	−1.02904	+	0.388270i
$149$	9.76864	−	15.2003i	0.800278	−	1.24526i	−0.165582	−	0.986196i	$-0.552950\pi$
$149$	9.76864	−	15.2003i	0.800278	−	1.24526i	0.965861	−	0.259062i	$-0.0834133\pi$
$150$	0.198514	−	5.87069i	0.0162086	−	0.479340i
$151$	−10.9577	−	9.49490i	−0.891725	−	0.772684i	0.0828933	−	0.996558i	$-0.473584\pi$
$151$	−10.9577	−	9.49490i	−0.891725	−	0.772684i	−0.974618	+	0.223875i	$0.928129\pi$
$152$	−2.58243	+	10.3638i	−0.209463	+	0.840617i
$153$	4.51591	−	0.649291i	0.365090	−	0.0524920i
$154$	1.51586	+	0.501333i	0.122152	+	0.0403986i
$155$	−2.76047	−	6.04458i	−0.221726	−	0.485512i
$156$	4.94353	+	1.05576i	0.395799	+	0.0845283i
$157$	−10.0275	−	4.57940i	−0.800280	−	0.365476i	−0.0270763	−	0.999633i	$-0.508620\pi$
$157$	−10.0275	−	4.57940i	−0.800280	−	0.365476i	−0.773204	+	0.634158i	$0.781347\pi$
$158$	4.83032	+	11.5991i	0.384280	+	0.922775i
$159$	−5.52709	+	3.55204i	−0.438326	+	0.281695i
$160$	−1.98220	+	4.05566i	−0.156707	+	0.320628i
$161$	−0.761235	+	2.26491i	−0.0599937	+	0.178500i
$162$	2.02308	−	1.20554i	0.158948	−	0.0947165i
$163$	4.65365	+	7.24122i	0.364502	+	0.567176i	0.974264	−	0.225408i	$-0.0723715\pi$
$163$	4.65365	+	7.24122i	0.364502	+	0.567176i	−0.609762	+	0.792584i	$0.708735\pi$
$164$	0.456622	+	0.339125i	0.0356562	+	0.0264812i
$165$	−0.715081	+	1.56581i	−0.0556690	+	0.121898i
$166$	17.3490	−	18.7052i	1.34654	−	1.45180i
$167$	−6.47965	+	2.95915i	−0.501410	+	0.228986i	−0.650031	−	0.759908i	$-0.725244\pi$
$167$	−6.47965	+	2.95915i	−0.501410	+	0.228986i	0.148621	+	0.988894i	$0.452517\pi$
$168$	−0.919697	−	0.976613i	−0.0709562	−	0.0753473i
$169$	0.846862	+	5.89005i	0.0651432	+	0.453081i
$170$	−2.38154	+	0.612669i	−0.182656	+	0.0469896i
$171$	−5.17769	+	5.97537i	−0.395948	+	0.456948i
$172$	−22.3396	+	12.3087i	−1.70338	+	0.938526i
$173$	15.2629	+	9.80885i	1.16041	+	0.745753i	0.971686	−	0.236277i	$-0.0759272\pi$
$173$	15.2629	+	9.80885i	1.16041	+	0.745753i	0.188728	+	0.982029i	$0.439564\pi$
$174$	1.31545	+	0.234755i	0.0997236	+	0.0177967i
$175$	2.08581	+	0.612450i	0.157673	+	0.0462969i
$176$	−6.80479	+	5.98745i	−0.512930	+	0.451321i
$177$	−3.30803	−	3.81766i	−0.248646	−	0.286953i
$178$	−8.45891	+	12.2326i	−0.634022	+	0.916876i
$179$	0.222638	+	0.758237i	0.0166408	+	0.0566733i	0.967395	−	0.253273i	$-0.0815071\pi$
$179$	0.222638	+	0.758237i	0.0166408	+	0.0566733i	−0.950754	+	0.309946i	$0.899689\pi$
$180$	−2.66751	+	2.01272i	−0.198824	+	0.150019i
$181$	−12.7669	−	1.83560i	−0.948956	−	0.136439i	−0.349580	−	0.936907i	$-0.613676\pi$
$181$	−12.7669	−	1.83560i	−0.948956	−	0.136439i	−0.599377	+	0.800467i	$0.704585\pi$
$182$	−0.834208	+	1.67447i	−0.0618356	+	0.124120i
$183$	7.98277			0.590103
$184$	−8.91119	−	10.2270i	−0.656942	−	0.753941i
$185$	5.33871			0.392510
$186$	−4.99905	+	10.0344i	−0.366548	+	0.735756i
$187$	−4.88732	−	0.702691i	−0.357396	−	0.0513858i
$188$	−0.0422278	+	0.0318622i	−0.00307978	+	0.00232379i
$189$	−0.680647	−	2.31807i	−0.0495098	−	0.168615i
$190$	2.42383	−	3.50516i	0.175843	−	0.254291i
$191$	−13.6220	−	15.7206i	−0.985655	−	1.13751i	−0.990499	−	0.137518i	$-0.956087\pi$
$191$	−13.6220	−	15.7206i	−0.985655	−	1.13751i	0.00484444	−	0.999988i	$-0.498458\pi$
$192$	7.42268	−	1.70348i	0.535686	−	0.122938i
$193$	−16.8670	−	4.95259i	−1.21411	−	0.356495i	−0.388879	−	0.921289i	$-0.627138\pi$
$193$	−16.8670	−	4.95259i	−1.21411	−	0.356495i	−0.825232	+	0.564794i	$0.808956\pi$
$194$	18.1849	+	3.24528i	1.30560	+	0.232998i
$195$	−1.69676	−	1.09044i	−0.121507	−	0.0780879i
$196$	−11.8271	+	6.51651i	−0.844794	+	0.465465i
$197$	−5.32730	+	6.14803i	−0.379554	+	0.438029i	−0.913096	−	0.407745i	$-0.866315\pi$
$197$	−5.32730	+	6.14803i	−0.379554	+	0.438029i	0.533542	+	0.845774i	$0.320861\pi$
$198$	−6.49811	+	1.67169i	−0.461801	+	0.118802i
$199$	2.86340	+	19.9154i	0.202981	+	1.41176i	0.795377	+	0.606116i	$0.207273\pi$
$199$	2.86340	+	19.9154i	0.202981	+	1.41176i	−0.592396	+	0.805647i	$0.701818\pi$
$200$	−8.98428	+	8.46068i	−0.635284	+	0.598261i
$201$	1.09937	−	0.502066i	0.0775437	−	0.0354130i
$202$	−11.8760	+	12.8044i	−0.835594	+	0.900914i
$203$	−0.205428	+	0.449824i	−0.0144182	+	0.0315715i
$204$	3.33056	+	2.47355i	0.233186	+	0.173183i
$205$	−0.122694	−	0.190915i	−0.00856930	−	0.0133341i
$206$	12.6559	−	7.54164i	0.881781	−	0.525451i
$207$	−2.45471	−	9.73676i	−0.170614	−	0.676752i
$208$	−5.80943	−	8.89048i	−0.402811	−	0.616444i
$209$	7.19845	−	4.62616i	0.497927	−	0.319998i
$210$	0.205771	+	0.494121i	0.0141996	+	0.0340976i
$211$	2.97989	+	1.36087i	0.205144	+	0.0936863i	0.515338	−	0.856987i	$-0.327667\pi$
$211$	2.97989	+	1.36087i	0.205144	+	0.0936863i	−0.310193	+	0.950674i	$0.600394\pi$
$212$	13.4989	+	2.88287i	0.927107	+	0.197996i
$213$	4.14702	+	9.08071i	0.284149	+	0.622200i
$214$	2.10649	+	0.696668i	0.143997	+	0.0476232i
$215$	10.0733	−	1.44832i	0.686991	−	0.0987744i
$216$	13.3083	+	3.31612i	0.905513	+	0.225633i
$217$	−3.13550	−	2.71692i	−0.212851	−	0.184437i
$218$	0.240635	−	7.11635i	0.0162979	−	0.481980i
$219$	−5.78270	+	8.99805i	−0.390758	+	0.608032i
$220$	3.38364	−	1.27669i	0.228125	−	0.0860743i
$221$	1.62993	−	5.55105i	0.109641	−	0.373404i
$222$	−5.66476	−	7.00229i	−0.380194	−	0.469963i
$223$	10.0385	−	8.69845i	0.672231	−	0.582491i	−0.250416	−	0.968138i	$-0.580567\pi$
$223$	10.0385	−	8.69845i	0.672231	−	0.582491i	0.922646	+	0.385647i	$0.126022\pi$
$224$	−0.0738568	+	2.81744i	−0.00493477	+	0.188248i
$225$	−8.76554	+	2.57379i	−0.584369	+	0.171586i
$226$	20.8755	−	2.28445i	1.38862	−	0.151959i
$227$	−2.17982	+	15.1610i	−0.144680	+	1.00627i	0.780070	+	0.625693i	$0.215184\pi$
$227$	−2.17982	+	15.1610i	−0.144680	+	1.00627i	−0.924749	+	0.380577i	$0.875726\pi$
$228$	−7.16924	+	0.540121i	−0.474795	+	0.0357704i
$229$			16.0521i			1.06075i	0.847762	+	0.530377i	$0.177950\pi$
$229$			16.0521i			1.06075i	−0.847762	+	0.530377i	$0.822050\pi$
$230$	1.88612	+	5.07298i	0.124367	+	0.334503i
$231$			1.07473i			0.0707124i
$232$	−1.61419	−	2.29685i	−0.105977	−	0.150795i
$233$	1.34428	−	9.34968i	0.0880668	−	0.612518i	−0.897217	−	0.441590i	$-0.854414\pi$
$233$	1.34428	−	9.34968i	0.0880668	−	0.612518i	0.985284	−	0.170928i	$-0.0546764\pi$
$234$	−0.855225	−	7.81514i	−0.0559078	−	0.510892i
$235$	0.0202519	−	0.00594649i	0.00132109	−	0.000387906i
$236$	−0.716918	+	10.5886i	−0.0466674	+	0.689261i
$237$	−6.39191	+	5.53863i	−0.415199	+	0.359772i
$238$	−1.19364	+	0.965638i	−0.0773721	+	0.0625930i
$239$	8.24945	−	28.0951i	0.533613	−	1.81732i	−0.0413586	−	0.999144i	$-0.513169\pi$
$239$	8.24945	−	28.0951i	0.533613	−	1.81732i	0.574971	−	0.818174i	$-0.305013\pi$
$240$	−3.01089	−	0.409590i	−0.194352	−	0.0264389i
$241$	9.11534	−	14.1837i	0.587170	−	0.913655i	−0.412826	−	0.910810i	$-0.635458\pi$
$241$	9.11534	−	14.1837i	0.587170	−	0.913655i	0.999996	−	0.00284487i	$-0.000905551\pi$
$242$	−8.29009	−	0.280325i	−0.532907	−	0.0180200i
$243$	12.1921	+	10.5645i	0.782121	+	0.677712i
$244$	−11.9040	−	11.8140i	−0.762078	−	0.756313i
$245$	5.33304	−	0.766775i	0.340715	−	0.0489875i
$246$	−0.120219	+	0.363501i	−0.00766486	+	0.0231760i
$247$	4.16498	+	9.12004i	0.265012	+	0.580294i
$248$	22.3049	−	7.56516i	1.41636	−	0.480388i
$249$	15.6212	+	7.13396i	0.989953	+	0.452097i
$250$	9.75467	−	4.06223i	0.616940	−	0.256918i
$251$	−16.2090	+	10.4169i	−1.02310	+	0.657508i	−0.940752	−	0.339095i	$-0.889879\pi$
$251$	−16.2090	+	10.4169i	−1.02310	+	0.657508i	−0.0823506	+	0.996603i	$0.526243\pi$
$252$	−0.992927	+	1.83494i	−0.0625485	+	0.115590i
$253$	−0.419787	+	10.8592i	−0.0263918	+	0.682709i
$254$	2.27310	+	3.81459i	0.142627	+	0.239348i
$255$	−0.894918	−	1.39252i	−0.0560420	−	0.0872030i
$256$	−13.5899	−	8.44485i	−0.849367	−	0.527803i
$257$	−3.85095	+	8.43241i	−0.240216	+	0.525999i	−0.990890	−	0.134673i	$-0.957002\pi$
$257$	−3.85095	+	8.43241i	−0.240216	+	0.525999i	0.750674	+	0.660673i	$0.229729\pi$
$258$	−12.5881	−	11.6754i	−0.783700	−	0.726878i
$259$	3.03201	−	1.38467i	0.188400	−	0.0860393i
$260$	0.916451	+	4.13717i	0.0568359	+	0.256576i
$261$	−0.295754	−	2.05701i	−0.0183067	−	0.127326i
$262$	1.26405	+	4.91354i	0.0780931	+	0.303560i
$263$	11.2851	−	13.0237i	0.695872	−	0.803079i	−0.292317	−	0.956321i	$-0.594426\pi$
$263$	11.2851	−	13.0237i	0.695872	−	0.803079i	0.988189	+	0.153243i	$0.0489717\pi$
$264$	−5.26480	−	3.08335i	−0.324026	−	0.189767i
$265$	−4.63319	−	2.97757i	−0.284614	−	0.182911i
$266$	0.467447	−	2.61933i	0.0286610	−	0.160602i
$267$	−9.60565	−	2.82047i	−0.587856	−	0.172610i
$268$	−2.38243	−	0.878311i	−0.145530	−	0.0536514i
$269$	−16.2948	−	18.8052i	−0.993512	−	1.14657i	−0.989198	−	0.146583i	$-0.953173\pi$
$269$	−16.2948	−	18.8052i	−0.993512	−	1.14657i	−0.00431323	−	0.999991i	$-0.501373\pi$
$270$	−4.50100	−	3.11245i	−0.273922	−	0.189418i
$271$	0.187271	+	0.637787i	0.0113759	+	0.0387428i	0.964985	−	0.262304i	$-0.0844822\pi$
$271$	0.187271	+	0.637787i	0.0113759	+	0.0387428i	−0.953609	+	0.301047i	$0.902664\pi$
$272$	−1.30589	−	8.61763i	−0.0791813	−	0.522520i
$273$	−1.24646	−	0.179213i	−0.0754390	−	0.0108465i
$274$	−6.76983	−	3.37268i	−0.408980	−	0.203751i
$275$	9.88694			0.596205
$276$	4.65245	−	7.85665i	0.280045	−	0.472915i
$277$	−2.81104			−0.168899			−0.0844496	−	0.996428i	$-0.526913\pi$
$277$	−2.81104			−0.168899			−0.0844496	+	0.996428i	$0.526913\pi$
$278$	−15.9785	−	7.96038i	−0.958327	−	0.477432i
$279$	17.2579	+	2.48131i	1.03320	+	0.148552i
$280$	0.424418	−	1.04137i	0.0253638	−	0.0622337i
$281$	4.86991	+	16.5854i	0.290514	+	0.989401i	0.967388	+	0.253301i	$0.0815163\pi$
$281$	4.86991	+	16.5854i	0.290514	+	0.989401i	−0.676873	+	0.736100i	$0.736665\pi$
$282$	−0.0292882	−	0.0202528i	−0.00174408	−	0.00120604i
$283$	5.27077	+	6.08279i	0.313315	+	0.361584i	0.890464	−	0.455055i	$-0.150380\pi$
$283$	5.27077	+	6.08279i	0.313315	+	0.361584i	−0.577149	+	0.816639i	$0.695835\pi$
$284$	7.25477	−	19.6786i	0.430491	−	1.16771i
$285$	2.75242	+	0.808183i	0.163039	+	0.0478726i
$286$	−1.49479	+	8.37604i	−0.0883889	+	0.495286i
$287$	−0.119198	−	0.0766038i	−0.00703603	−	0.00452178i
$288$	−6.14016	−	10.1284i	−0.361812	−	0.596820i
$289$	−8.02332	+	9.25940i	−0.471960	+	0.544671i
$290$	0.279073	+	1.08480i	0.0163877	+	0.0637015i
$291$	1.76958	+	12.3077i	0.103735	+	0.721490i
$292$	21.9398	−	4.86003i	1.28393	−	0.284412i
$293$	16.5335	−	7.55059i	0.965896	−	0.441110i	0.130918	−	0.991393i	$-0.458207\pi$
$293$	16.5335	−	7.55059i	0.965896	−	0.441110i	0.834978	+	0.550283i	$0.185480\pi$
$294$	−6.66444	−	6.18124i	−0.388678	−	0.360497i
$295$	1.75908	−	3.85185i	0.102418	−	0.224263i
$296$	−1.91556	+	18.8254i	−0.111339	+	1.09421i
$297$	−5.94049	−	9.24358i	−0.344702	−	0.536367i
$298$	−13.0806	−	21.9511i	−0.757738	−	1.27159i
$299$	−12.5242	−	2.29764i	−0.724295	−	0.132876i
$300$	−7.30608	−	3.95348i	−0.421817	−	0.228255i
$301$	5.34525	−	3.43519i	0.308095	−	0.198001i
$302$	−18.9291	+	7.88281i	−1.08925	+	0.453605i
$303$	−10.6933	−	4.88347i	−0.614314	−	0.280548i
$304$	11.4902	+	9.80459i	0.659011	+	0.562332i
$305$	2.77984	+	6.08699i	0.159173	+	0.348540i
$306$	2.02596	−	6.12582i	0.115816	−	0.350190i
$307$	12.2135	−	1.75603i	0.697060	−	0.100222i	0.215329	−	0.976541i	$-0.430917\pi$
$307$	12.2135	−	1.75603i	0.697060	−	0.100222i	0.481731	+	0.876319i	$0.340008\pi$
$308$	1.59054	−	1.60266i	0.0906294	−	0.0913202i
$309$	7.49478	+	6.49426i	0.426363	+	0.369446i
$310$	−9.39220	−	0.317592i	−0.533441	−	0.0180380i
$311$	−5.05800	+	7.87041i	−0.286813	+	0.446290i	−0.954525	−	0.298130i	$-0.903637\pi$
$311$	−5.05800	+	7.87041i	−0.286813	+	0.446290i	0.667712	+	0.744419i	$0.267274\pi$
$312$	4.45392	−	5.59186i	0.252153	−	0.316577i
$313$	0.385671	−	1.31348i	0.0217994	−	0.0742420i	−0.947875	−	0.318643i	$-0.896773\pi$
$313$	0.385671	−	1.31348i	0.0217994	−	0.0742420i	0.969674	+	0.244401i	$0.0785912\pi$
$314$	−12.1203	+	9.80515i	−0.683987	+	0.553337i
$315$	0.629126	−	0.545140i	0.0354472	−	0.0307152i
$316$	17.7285	+	1.20033i	0.997309	+	0.0675241i
$317$	−0.254796	+	0.0748150i	−0.0143108	+	0.00420203i	−0.288880	−	0.957365i	$-0.593283\pi$
$317$	−0.254796	+	0.0748150i	−0.0143108	+	0.00420203i	0.274569	+	0.961567i	$0.411465\pi$
$318$	1.01075	+	9.23633i	0.0566799	+	0.517948i
$319$	−0.320078	+	2.22619i	−0.0179209	+	0.124643i
$320$	3.88373	+	5.06672i	0.217107	+	0.283238i
$321$			1.49348i			0.0833582i
$322$	2.38693	+	2.39190i	0.133018	+	0.133295i
$323$			8.22836i			0.457838i
$324$	−0.250207	−	3.32110i	−0.0139004	−	0.184506i
$325$	−1.64866	+	11.4667i	−0.0914512	+	0.636057i
$326$	12.1008	−	1.32422i	0.670203	−	0.0733415i
$327$	4.59885	−	1.35034i	0.254317	−	0.0746741i
$328$	0.717230	−	0.364143i	0.0396024	−	0.0201064i
$329$	0.00995932	−	0.00862980i	0.000549075	−	0.000475776i
$330$	1.53109	+	1.89261i	0.0842839	+	0.104185i
$331$	−0.647543	+	2.20533i	−0.0355922	+	0.121216i	−0.975373	−	0.220562i	$-0.929211\pi$
$331$	−0.647543	+	2.20533i	−0.0355922	+	0.121216i	0.939781	+	0.341778i	$0.111029\pi$
$332$	−12.7368	−	33.7567i	−0.699022	−	1.85264i
$333$	−7.57315	+	11.7840i	−0.415006	+	0.645762i
$334$	−0.340451	+	10.0682i	−0.0186287	+	0.550908i
$335$	0.765667	+	0.663455i	0.0418329	+	0.0362484i
$336$	−1.81620	+	0.548300i	−0.0990821	+	0.0299122i
$337$	12.1917	−	1.75291i	0.664126	−	0.0954869i	0.197996	−	0.980203i	$-0.436557\pi$
$337$	12.1917	−	1.75291i	0.664126	−	0.0954869i	0.466130	+	0.884716i	$0.345648\pi$
$338$	7.98983	+	2.64243i	0.434589	+	0.143729i
$339$	5.87228	+	12.8585i	0.318938	+	0.698378i
$340$	−0.726324	+	3.40097i	−0.0393904	+	0.184444i
$341$	−17.1641	−	7.83860i	−0.929491	−	0.424484i
$342$	4.29860	+	10.3223i	0.232441	+	0.558164i
$343$	5.76386	−	3.70421i	0.311219	−	0.200009i
$344$	1.49273	+	36.0401i	0.0804827	+	1.94315i
$345$	−2.84344	+	2.27764i	−0.153086	+	0.122624i
$346$	22.0414	−	13.1344i	1.18495	−	0.706110i
$347$	−10.3405	−	16.0902i	−0.555109	−	0.863767i	0.444376	−	0.895840i	$-0.353425\pi$
$347$	−10.3405	−	16.0902i	−0.555109	−	0.863767i	−0.999486	+	0.0320734i	$0.989789\pi$
$348$	1.12671	−	1.51708i	0.0603980	−	0.0813241i
$349$	4.08997	−	8.95578i	0.218931	−	0.479392i	−0.768017	−	0.640429i	$-0.778757\pi$
$349$	4.08997	−	8.95578i	0.218931	−	0.479392i	0.986948	+	0.161037i	$0.0514839\pi$
$350$	2.09062	−	2.25405i	0.111748	−	0.120484i
$351$	11.7111	−	5.34828i	0.625093	−	0.285470i
$352$	3.28780	+	12.3895i	0.175240	+	0.660363i
$353$	−2.40367	−	16.7179i	−0.127935	−	0.889804i	−0.948167	−	0.317774i	$-0.897065\pi$
$353$	−2.40367	−	16.7179i	−0.127935	−	0.889804i	0.820232	−	0.572031i	$-0.193844\pi$
$354$	−6.91862	+	1.77987i	−0.367720	+	0.0945989i
$355$	−5.48008	+	6.32435i	−0.290852	+	0.335661i
$356$	10.1500	+	18.4217i	0.537949	+	0.976348i
$357$	−0.869420	−	0.558742i	−0.0460146	−	0.0295718i
$358$	1.10020	+	0.196342i	0.0581472	+	0.0103770i
$359$	−2.24038	−	0.657834i	−0.118243	−	0.0347192i	0.222076	−	0.975029i	$-0.428717\pi$
$359$	−2.24038	−	0.657834i	−0.118243	−	0.0347192i	−0.340319	+	0.940310i	$0.610535\pi$
$360$	0.865555	+	4.64587i	0.0456188	+	0.244859i
$361$	3.10422	+	3.58246i	0.163380	+	0.188550i
$362$	−10.3747	+	15.0031i	−0.545281	+	0.788545i
$363$	−1.57306	−	5.35736i	−0.0825644	−	0.281188i
$364$	1.59351	+	2.11192i	0.0835228	+	0.110695i
$365$	−8.87487	−	1.27601i	−0.464532	−	0.0667896i
$366$	5.03413	−	10.1048i	0.263138	−	0.528186i
$367$	−33.1454			−1.73018			−0.865088	−	0.501620i	$-0.832738\pi$
$367$	−33.1454			−1.73018			−0.865088	+	0.501620i	$0.832738\pi$
$368$	−18.5652	+	4.83064i	−0.967776	+	0.251814i
$369$	0.595449			0.0309978
$370$	3.36672	−	6.75788i	0.175028	−	0.351325i
$371$	−3.40359	−	0.489363i	−0.176706	−	0.0254064i
$372$	9.54924	+	12.6558i	0.495105	+	0.656175i
$373$	1.32402	+	4.50920i	0.0685551	+	0.233477i	0.986642	−	0.162901i	$-0.0520851\pi$
$373$	1.32402	+	4.50920i	0.0685551	+	0.233477i	−0.918087	+	0.396378i	$0.870267\pi$
$374$	−3.97155	+	5.74336i	−0.205364	+	0.296982i
$375$	4.65790	+	5.37551i	0.240533	+	0.277590i
$376$	0.0137021	+	0.0735460i	0.000706631	+	0.00379285i
$377$	−2.52852	−	0.742440i	−0.130225	−	0.0382376i
$378$	−3.36351	−	0.600253i	−0.173000	−	0.0308737i
$379$	3.87071	+	2.48755i	0.198825	+	0.127777i	0.636265	−	0.771471i	$-0.280478\pi$
$379$	3.87071	+	2.48755i	0.198825	+	0.127777i	−0.437440	+	0.899247i	$0.644115\pi$
$380$	−2.90839	−	5.27858i	−0.149197	−	0.270785i
$381$	−1.95741	+	2.25898i	−0.100281	+	0.115731i
$382$	−28.4900	+	7.32927i	−1.45767	+	0.374998i
$383$	−3.97603	−	27.6539i	−0.203166	−	1.41305i	−0.794815	−	0.606852i	$-0.792432\pi$
$383$	−3.97603	−	27.6539i	−0.203166	−	1.41305i	0.591649	−	0.806195i	$-0.298477\pi$
$384$	2.52462	−	10.4701i	0.128834	−	0.534299i
$385$	−0.819503	+	0.374254i	−0.0417657	+	0.0190738i
$386$	−16.9058	+	18.2274i	−0.860484	+	0.927750i
$387$	−11.0924	+	24.2890i	−0.563860	+	1.23468i
$388$	15.5758	−	20.9723i	0.790741	−	1.06471i
$389$	1.79796	+	2.79768i	0.0911602	+	0.141848i	0.883839	−	0.467792i	$-0.154950\pi$
$389$	1.79796	+	2.79768i	0.0911602	+	0.141848i	−0.792678	+	0.609640i	$0.791314\pi$
$390$	−2.45032	+	1.46014i	−0.124077	+	0.0739370i
$391$	−8.56640	−	5.98514i	−0.433222	−	0.302682i
$392$	0.790289	+	19.0805i	0.0399156	+	0.963712i
$393$	−2.87302	+	1.84638i	−0.144925	+	0.0931375i
$394$	4.42280	+	10.6205i	0.222818	+	0.535054i
$395$	−6.44915	−	2.94523i	−0.324492	−	0.148190i
$396$	−1.98180	+	9.27968i	−0.0995893	+	0.466321i
$397$	−1.48915	−	3.26079i	−0.0747384	−	0.163654i	0.868575	−	0.495558i	$-0.165036\pi$
$397$	−1.48915	−	3.26079i	−0.0747384	−	0.163654i	−0.943313	+	0.331904i	$0.892309\pi$
$398$	27.0151	+	8.93456i	1.35414	+	0.447849i
$399$	1.77279	−	0.254889i	0.0887505	−	0.0127604i
$400$	5.04404	+	16.7080i	0.252202	+	0.835402i
$401$	−15.0238	−	13.0182i	−0.750253	−	0.650098i	0.193368	−	0.981126i	$-0.438059\pi$
$401$	−15.0238	−	13.0182i	−0.750253	−	0.650098i	−0.943621	+	0.331028i	$0.892604\pi$
$402$	0.0577628	−	1.70823i	0.00288095	−	0.0851986i
$403$	11.9532	−	18.5995i	0.595432	−	0.926510i
$404$	8.71882	+	23.1077i	0.433777	+	1.14965i
$405$	−0.374385	+	1.27504i	−0.0186034	+	0.0633572i
$406$	0.439851	+	0.543706i	0.0218294	+	0.0269837i
$407$	11.4570	−	9.92755i	0.567902	−	0.492090i
$408$	5.23142	−	2.65603i	0.258994	−	0.131493i
$409$	−6.35757	+	1.86675i	−0.314362	+	0.0923049i	−0.435107	−	0.900379i	$-0.643290\pi$
$409$	−6.35757	+	1.86675i	−0.314362	+	0.0923049i	0.120746	+	0.992683i	$0.461471\pi$
$410$	−0.319039	+	0.0349130i	−0.0157562	+	0.00172423i
$411$	0.724554	−	5.03938i	0.0357396	−	0.248574i
$412$	−1.56525	−	20.7762i	−0.0771141	−	1.02357i
$413$		−	2.64382i		−	0.130094i
$414$	−13.8730	−	3.03301i	−0.681822	−	0.149064i
$415$			14.3957i			0.706656i
$416$	−14.9174	+	1.74716i	−0.731384	+	0.0856616i
$417$	1.71013	−	11.8942i	0.0837455	−	0.582463i
$418$	−1.31639	−	12.0293i	−0.0643869	−	0.588375i
$419$	−21.2138	+	6.22893i	−1.03636	+	0.304303i	−0.755295	−	0.655385i	$-0.772506\pi$
$419$	−21.2138	+	6.22893i	−1.03636	+	0.304303i	−0.281066	+	0.959688i	$0.590688\pi$
$420$	0.755235	+	0.0511342i	0.0368517	+	0.00249509i
$421$	27.7373	−	24.0345i	1.35183	−	1.17137i	0.382973	−	0.923760i	$-0.374900\pi$
$421$	27.7373	−	24.0345i	1.35183	−	1.17137i	0.968860	−	0.247610i	$-0.0796452\pi$
$422$	3.60182	−	2.91382i	0.175334	−	0.141843i
$423$	−0.0156024	+	0.0531369i	−0.000758615	+	0.00258361i
$424$	12.1619	−	15.2692i	0.590636	−	0.741539i
$425$	−5.14011	+	7.99816i	−0.249332	+	0.387968i
$426$	14.1098	+	0.477115i	0.683622	+	0.0231163i
$427$	3.15750	+	2.73599i	0.152802	+	0.132404i
$428$	2.21026	−	2.22711i	0.106837	−	0.107651i
$429$	−5.66899	+	0.815077i	−0.273701	+	0.0393523i
$430$	4.51913	−	13.6643i	0.217932	−	0.658953i
$431$	−6.72373	−	14.7229i	−0.323871	−	0.709178i	0.675738	−	0.737142i	$-0.263825\pi$
$431$	−6.72373	−	14.7229i	−0.323871	−	0.709178i	−0.999609	+	0.0279638i	$0.991098\pi$
$432$	12.5901	−	14.7547i	0.605744	−	0.709886i
$433$	7.85168	+	3.58574i	0.377328	+	0.172320i	0.595046	−	0.803692i	$-0.297134\pi$
$433$	7.85168	+	3.58574i	0.377328	+	0.172320i	−0.217718	+	0.976012i	$0.569861\pi$
$434$	−5.41647	+	2.25563i	−0.259999	+	0.108274i
$435$	−0.634297	+	0.407638i	−0.0304122	+	0.0195447i
$436$	−8.85630	−	4.79235i	−0.424140	−	0.229512i
$437$	18.0119	−	1.88296i	0.861626	−	0.0900742i
$438$	7.74325	+	12.9943i	0.369987	+	0.620891i
$439$	−6.21790	−	9.67524i	−0.296764	−	0.461774i	0.660567	−	0.750767i	$-0.270316\pi$
$439$	−6.21790	−	9.67524i	−0.296764	−	0.461774i	−0.957331	+	0.288993i	$0.906680\pi$
$440$	0.517744	−	5.08821i	0.0246825	−	0.242571i
$441$	−5.87261	+	12.8592i	−0.279648	+	0.612344i
$442$	−5.99878	−	5.56384i	−0.285333	−	0.264645i
$443$	−32.6615	+	14.9160i	−1.55179	+	0.708681i	−0.992721	−	0.120437i	$-0.961570\pi$
$443$	−32.6615	+	14.9160i	−1.55179	+	0.708681i	−0.559074	+	0.829118i	$0.688843\pi$
$444$	−12.4360	+	2.75478i	−0.590187	+	0.130736i
$445$	−1.19431	−	8.30664i	−0.0566160	−	0.393773i
$446$	−4.68016	−	18.1925i	−0.221612	−	0.861440i
$447$	11.2640	−	12.9993i	0.532767	−	0.614846i
$448$	3.51980	+	1.87023i	0.166295	+	0.0883602i
$449$	2.11888	+	1.36172i	0.0999962	+	0.0642637i	0.589683	−	0.807635i	$-0.299253\pi$
$449$	2.11888	+	1.36172i	0.0999962	+	0.0642637i	−0.489687	+	0.871898i	$0.662889\pi$
$450$	−2.26979	+	12.7187i	−0.106999	+	0.599567i
$451$	−0.618318	−	0.181554i	−0.0291154	−	0.00854907i
$452$	10.2729	−	27.8654i	0.483197	−	1.31068i
$453$	−9.03872	−	10.4312i	−0.424676	−	0.490102i
$454$	17.8165	+	12.3202i	0.836169	+	0.578213i
$455$	−0.297400	−	1.01285i	−0.0139423	−	0.0474832i
$456$	−3.83740	+	9.41562i	−0.179703	+	0.440927i
$457$	30.6788	+	4.41094i	1.43509	+	0.206335i	0.815576	−	0.578650i	$-0.196420\pi$
$457$	30.6788	+	4.41094i	1.43509	+	0.206335i	0.619515	+	0.784985i	$0.287329\pi$
$458$	20.3192	+	10.1229i	0.949453	+	0.473010i
$459$	10.5661			0.493183
$460$	7.61094	+	0.811653i	0.354862	+	0.0378435i
$461$	12.8554			0.598734			0.299367	−	0.954138i	$-0.403224\pi$
$461$	12.8554			0.598734			0.299367	+	0.954138i	$0.403224\pi$
$462$	1.36043	+	0.677754i	0.0632927	+	0.0315320i
$463$	−4.84005	−	0.695894i	−0.224936	−	0.0323410i	0.0289250	−	0.999582i	$-0.490792\pi$
$463$	−4.84005	−	0.695894i	−0.224936	−	0.0323410i	−0.253861	+	0.967241i	$0.581701\pi$
$464$	−3.92535	+	0.594837i	−0.182230	+	0.0276146i
$465$	−1.78219	−	6.06958i	−0.0826471	−	0.281470i
$466$	−10.9873	−	7.59776i	−0.508978	−	0.351960i
$467$	13.5104	+	15.5918i	0.625187	+	0.721504i	0.976683	−	0.214685i	$-0.0688725\pi$
$467$	13.5104	+	15.5918i	0.625187	+	0.721504i	−0.351496	+	0.936189i	$0.614327\pi$
$468$	−10.4319	−	3.84585i	−0.482216	−	0.177775i
$469$	0.606921	+	0.178208i	0.0280250	+	0.00822888i
$470$	0.00524412	−	0.0293853i	0.000241893	−	0.00135544i
$471$	−8.82815	−	5.67351i	−0.406780	−	0.261421i
$472$	12.9513	+	7.58495i	0.596130	+	0.349125i
$473$	18.9243	−	21.8397i	0.870138	−	1.00419i
$474$	2.98003	+	11.5838i	0.136877	+	0.532063i
$475$	−2.34483	−	16.3087i	−0.107588	−	0.748292i
$476$	0.469591	+	2.11989i	0.0215237	+	0.0971651i
$477$	13.1447	−	6.00297i	0.601853	−	0.274857i
$478$	−30.3611	−	28.1598i	−1.38868	−	1.28800i
$479$	−10.6737	+	23.3722i	−0.487695	+	1.06790i	0.492580	+	0.870267i	$0.336054\pi$
$479$	−10.6737	+	23.3722i	−0.487695	+	1.06790i	−0.980275	+	0.197636i	$0.936673\pi$
$480$	−2.41721	+	3.55296i	−0.110330	+	0.162170i
$481$	9.60331	+	14.9430i	0.437873	+	0.681344i
$482$	−12.2058	−	20.4830i	−0.555958	−	0.932977i
$483$	−1.02413	+	2.03102i	−0.0465996	+	0.0924147i
$484$	−5.58277	+	10.3170i	−0.253762	+	0.468955i
$485$	−8.76861	+	5.63524i	−0.398162	+	0.255883i
$486$	21.0614	−	8.77080i	0.955364	−	0.397851i
$487$	16.3611	+	7.47188i	0.741394	+	0.338583i	0.750052	−	0.661379i	$-0.230029\pi$
$487$	16.3611	+	7.47188i	0.741394	+	0.338583i	−0.00865782	+	0.999963i	$0.502756\pi$
$488$	−22.4614	+	7.61824i	−1.01678	+	0.344861i
$489$	3.40396	+	7.45362i	0.153932	+	0.337064i
$490$	2.39254	−	7.23424i	0.108084	−	0.326810i
$491$	6.75097	−	0.970643i	0.304667	−	0.0438045i	0.0117142	−	0.999931i	$-0.496271\pi$
$491$	6.75097	−	0.970643i	0.304667	−	0.0438045i	0.292953	+	0.956127i	$0.405362\pi$
$492$	0.384315	+	0.381408i	0.0173263	+	0.0171952i
$493$	−1.63450	−	1.41630i	−0.0736141	−	0.0637870i
$494$	14.1709	+	0.479182i	0.637580	+	0.0215594i
$495$	2.04690	−	3.18504i	0.0920013	−	0.143157i
$496$	4.48986	−	33.0049i	0.201601	−	1.48196i
$497$	−1.47198	+	5.01311i	−0.0660274	+	0.224869i
$498$	18.8815	−	15.2749i	0.846098	−	0.684483i
$499$	21.2911	−	18.4489i	0.953122	−	0.825885i	−0.0316923	−	0.999498i	$-0.510090\pi$
$499$	21.2911	−	18.4489i	0.953122	−	0.825885i	0.984814	+	0.173613i	$0.0555442\pi$
$500$	1.00946	−	14.9094i	0.0451446	−	0.666771i
$501$	−6.50645	+	1.91047i	−0.290687	+	0.0853533i
$502$	2.96417	+	27.0869i	0.132297	+	1.20895i
$503$	0.557821	−	3.87973i	0.0248720	−	0.172989i	−0.973599	−	0.228265i	$-0.926695\pi$
$503$	0.557821	−	3.87973i	0.0248720	−	0.172989i	0.998471	+	0.0552761i	$0.0176039\pi$
$504$	1.69655	+	2.41403i	0.0755702	+	0.107529i
$505$		−	9.85439i		−	0.438515i
$506$	13.4811	+	7.37943i	0.599306	+	0.328056i
$507$			5.66473i			0.251579i
$508$	6.26207	−	0.471776i	0.277834	−	0.0209317i
$509$	−4.77147	+	33.1863i	−0.211492	+	1.47096i	0.556688	+	0.830722i	$0.312072\pi$
$509$	−4.77147	+	33.1863i	−0.211492	+	1.47096i	−0.768179	+	0.640235i	$0.778837\pi$
$510$	−2.32704	+	0.254653i	−0.103043	+	0.0112762i
$511$	−5.37124	+	1.57714i	−0.237610	+	0.0697685i
$512$	−19.2598	+	11.8769i	−0.851171	+	0.524888i
$513$	−13.8385	+	11.9912i	−0.610987	+	0.529423i
$514$	8.24545	+	10.1923i	0.363691	+	0.449564i
$515$	−2.34208	+	7.97639i	−0.103204	+	0.351482i
$516$	−22.7174	+	8.57152i	−1.00008	+	0.377340i
$517$	0.0324033	−	0.0504205i	0.00142509	−	0.00221749i
$518$	0.159307	−	4.71120i	0.00699953	−	0.206998i
$519$	13.0528	+	11.3103i	0.572954	+	0.496468i
$520$	5.81487	+	1.44893i	0.254999	+	0.0635400i
$521$	−27.7043	+	3.98328i	−1.21375	+	0.174510i	−0.719301	−	0.694698i	$-0.755538\pi$
$521$	−27.7043	+	3.98328i	−1.21375	+	0.174510i	−0.494446	+	0.869209i	$0.664629\pi$
$522$	−2.79033	−	0.922830i	−0.122129	−	0.0403912i
$523$	13.0360	+	28.5449i	0.570025	+	1.24818i	0.946784	+	0.321869i	$0.104311\pi$
$523$	13.0360	+	28.5449i	0.570025	+	1.24818i	−0.376760	+	0.926311i	$0.622962\pi$
$524$	7.01683	+	1.49854i	0.306531	+	0.0654640i
$525$	1.88242	+	0.859672i	0.0821555	+	0.0375191i
$526$	−9.36910	−	22.4981i	−0.408512	−	0.980964i
$527$	15.2646	−	9.80995i	0.664935	−	0.427328i
$528$	−7.22309	+	4.71988i	−0.314345	+	0.205406i
$529$	−11.1412	+	20.1215i	−0.484398	+	0.874848i
$530$	−6.69088	+	3.98707i	−0.290633	+	0.173187i
$531$	6.00680	+	9.34676i	0.260673	+	0.405615i
$532$	−3.02083	−	2.24352i	−0.130970	−	0.0972691i
$533$	0.313669	−	0.686838i	0.0135865	−	0.0297503i
$534$	−9.62779	+	10.3804i	−0.416635	+	0.449205i
$535$	−1.13881	+	0.520076i	−0.0492349	+	0.0224848i
$536$	−2.61421	+	2.46185i	−0.112916	+	0.106336i
$537$	0.107061	+	0.744624i	0.00462001	+	0.0321329i
$538$	−34.0800	+	8.76734i	−1.46929	+	0.377987i
$539$	10.0190	−	11.5625i	0.431547	−	0.498032i
$540$	−6.77826	+	3.73469i	−0.291690	+	0.160715i
$541$	−11.4157	−	7.33642i	−0.490799	−	0.315417i	0.271728	−	0.962374i	$-0.412405\pi$
$541$	−11.4157	−	7.33642i	−0.490799	−	0.315417i	−0.762527	+	0.646957i	$0.776041\pi$
$542$	0.925424	+	0.165152i	0.0397504	+	0.00709387i
$543$	−11.7811	−	3.45925i	−0.505577	−	0.148451i
$544$	−11.7319	−	3.78146i	−0.503002	−	0.162129i
$545$	2.63111	+	3.03647i	0.112705	+	0.130068i
$546$	−1.01290	+	1.46478i	−0.0433481	+	0.0626868i
$547$	−4.59700	−	15.6560i	−0.196554	−	0.669400i	−0.997500	−	0.0706643i	$-0.977488\pi$
$547$	−4.59700	−	15.6560i	−0.196554	−	0.669400i	0.800947	−	0.598736i	$-0.204330\pi$
$548$	−8.53844	+	6.44252i	−0.364744	+	0.275211i
$549$	−17.3790	−	2.49872i	−0.741718	−	0.106643i
$550$	6.23495	−	12.5151i	0.265859	−	0.533647i
$551$	3.74804			0.159672
$552$	−7.01119	−	10.8438i	−0.298416	−	0.461542i
$553$	−4.42654			−0.188236
$554$	−1.77271	+	3.55829i	−0.0753153	+	0.151177i
$555$	5.03049	+	0.723275i	0.213532	+	0.0307013i
$556$	−20.1529	+	15.2060i	−0.854673	+	0.644878i
$557$	−7.86987	−	26.8023i	−0.333457	−	1.13565i	−0.940163	−	0.340724i	$-0.889328\pi$
$557$	−7.86987	−	26.8023i	−0.333457	−	1.13565i	0.606706	−	0.794926i	$-0.292490\pi$
$558$	14.0242	−	20.2807i	0.593690	−	0.858551i
$559$	22.1737	+	25.5898i	0.937847	+	1.08233i
$560$	−1.05054	−	1.19395i	−0.0443936	−	0.0504537i
$561$	−4.50996	−	1.32424i	−0.190411	−	0.0559096i
$562$	24.0653	+	4.29470i	1.01513	+	0.181161i
$563$	12.1628	+	7.81658i	0.512602	+	0.329430i	0.771240	−	0.636545i	$-0.219637\pi$
$563$	12.1628	+	7.81658i	0.512602	+	0.329430i	−0.258637	+	0.965975i	$0.583273\pi$
$564$	−0.0441064	+	0.0243017i	−0.00185721	+	0.00102329i
$565$	−7.75991	+	8.95542i	−0.326462	+	0.376757i
$566$	11.0236	−	2.83591i	0.463357	−	0.119202i
$567$	0.118076	+	0.821233i	0.00495871	+	0.0344886i
$568$	−20.3347	−	21.5931i	−0.853225	−	0.906026i
$569$	−22.3573	+	10.2102i	−0.937267	+	0.428036i	−0.824676	−	0.565606i	$-0.808642\pi$
$569$	−22.3573	+	10.2102i	−0.937267	+	0.428036i	−0.112592	+	0.993641i	$0.535915\pi$
$570$	2.75876	−	2.97442i	0.115552	−	0.124585i
$571$	7.36756	−	16.1327i	0.308323	−	0.675133i	−0.690516	−	0.723318i	$-0.742616\pi$
$571$	7.36756	−	16.1327i	0.308323	−	0.675133i	0.998838	+	0.0481846i	$0.0153436\pi$
$572$	9.65995	+	7.17428i	0.403903	+	0.299972i
$573$	−10.7058	−	16.6585i	−0.447240	−	0.695919i
$574$	−0.172136	+	0.102575i	−0.00718482	+	0.00428141i
$575$	18.6842	+	9.42142i	0.779186	+	0.392900i
$576$	−16.6929	+	1.38517i	−0.695536	+	0.0577153i
$577$	−29.2866	+	18.8214i	−1.21922	+	0.783543i	−0.982177	−	0.187957i	$-0.939814\pi$
$577$	−29.2866	+	18.8214i	−1.21922	+	0.783543i	−0.237040	+	0.971500i	$0.576177\pi$
$578$	6.66108	+	15.9953i	0.277065	+	0.665318i
$579$	−15.2222	−	6.95175i	−0.632613	−	0.288905i
$580$	1.54915	+	0.330843i	0.0643251	+	0.0137375i
$581$	3.73373	+	8.17572i	0.154901	+	0.339186i
$582$	16.6953	+	5.52156i	0.692044	+	0.228876i
$583$	−15.4798	+	2.22566i	−0.641109	+	0.0921775i
$584$	7.68384	−	30.8368i	0.317959	−	1.27604i
$585$	3.35262	+	2.90506i	0.138614	+	0.120110i
$586$	0.868696	−	25.6901i	0.0358855	−	1.06125i
$587$	10.8878	−	16.9418i	0.449389	−	0.699263i	−0.540462	−	0.841368i	$-0.681751\pi$
$587$	10.8878	−	16.9418i	0.449389	−	0.699263i	0.989852	+	0.142105i	$0.0453871\pi$
$588$	−12.0271	+	4.53798i	−0.495990	+	0.187143i
$589$	−8.85917	+	30.1715i	−0.365036	+	1.24320i
$590$	−3.76645	−	4.65576i	−0.155062	−	0.191674i
$591$	−5.85265	+	5.07135i	−0.240746	+	0.208607i
$592$	22.6217	+	14.2965i	0.929746	+	0.587584i
$593$	20.8742	−	6.12922i	0.857201	−	0.251697i	0.176538	−	0.984294i	$-0.443510\pi$
$593$	20.8742	−	6.12922i	0.857201	−	0.251697i	0.680663	+	0.732597i	$0.261692\pi$
$594$	−15.4470	+	1.69039i	−0.633797	+	0.0693575i
$595$	0.123292	−	0.857517i	0.00505449	−	0.0351548i
$596$	−36.0352	+	2.71484i	−1.47606	+	0.111204i
$597$			19.1535i			0.783900i
$598$	−10.8065	+	14.4045i	−0.441911	+	0.589046i
$599$			35.6197i			1.45538i	0.685906	+	0.727690i	$0.259406\pi$
$599$			35.6197i			1.45538i	−0.685906	+	0.727690i	$0.740594\pi$
$600$	−9.61181	+	6.75505i	−0.392400	+	0.275774i
$601$	3.27059	−	22.7474i	0.133410	−	0.927887i	−0.807654	−	0.589657i	$-0.799263\pi$
$601$	3.27059	−	22.7474i	0.133410	−	0.927887i	0.941064	−	0.338230i	$-0.109828\pi$
$602$	−0.977496	−	8.93247i	−0.0398398	−	0.364060i
$603$	−2.55056	+	0.748911i	−0.103867	+	0.0304980i
$604$	−1.95888	+	28.9320i	−0.0797056	+	1.17723i
$605$	3.53729	−	3.06508i	0.143811	−	0.124613i
$606$	−12.9251	+	10.4562i	−0.525045	+	0.424755i
$607$	−10.8220	+	36.8562i	−0.439250	+	1.49595i	0.381343	+	0.924433i	$0.375462\pi$
$607$	−10.8220	+	36.8562i	−0.439250	+	1.49595i	−0.820593	+	0.571513i	$0.806357\pi$
$608$	19.6569	−	8.36162i	0.797194	−	0.339109i
$609$	−0.254509	+	0.396023i	−0.0103132	+	0.0160477i
$610$	9.45810	+	0.319820i	0.382947	+	0.0129491i
$611$	0.0530734	+	0.0459884i	0.00214712	+	0.00186049i
$612$	−6.47659	−	6.42760i	−0.261801	−	0.259820i
$613$	12.1079	−	1.74086i	0.489034	−	0.0703125i	0.106613	−	0.994301i	$-0.465999\pi$
$613$	12.1079	−	1.74086i	0.489034	−	0.0703125i	0.382421	+	0.923988i	$0.375090\pi$
$614$	5.47929	−	16.5675i	0.221126	−	0.668611i
$615$	−0.0897455	−	0.196515i	−0.00361889	−	0.00792426i
$616$	−1.02566	−	3.02402i	−0.0413249	−	0.121841i
$617$	30.5444	+	13.9492i	1.22967	+	0.561572i	0.920988	−	0.389592i	$-0.127384\pi$
$617$	30.5444	+	13.9492i	1.22967	+	0.561572i	0.308684	+	0.951164i	$0.400111\pi$
$618$	12.9470	−	5.39164i	0.520804	−	0.216883i
$619$	21.7292	−	13.9645i	0.873369	−	0.561280i	−0.0254125	−	0.999677i	$-0.508090\pi$
$619$	21.7292	−	13.9645i	0.873369	−	0.561280i	0.898782	+	0.438397i	$0.144454\pi$
$620$	−6.32496	+	11.6886i	−0.254017	+	0.469425i
$621$	−2.41792	−	23.1292i	−0.0970279	−	0.928143i
$622$	6.77286	+	11.3658i	0.271567	+	0.455728i
$623$	−2.83273	−	4.40782i	−0.113491	−	0.176595i
$624$	−4.26956	−	9.16424i	−0.170919	−	0.366863i
$625$	6.58581	−	14.4209i	0.263432	−	0.576837i
$626$	−1.41942	−	1.31650i	−0.0567313	−	0.0526180i
$627$	7.40960	−	3.38385i	0.295911	−	0.135138i
$628$	4.76826	+	21.5255i	0.190274	+	0.858962i
$629$	2.07465	+	14.4295i	0.0827216	+	0.575342i
$630$	−0.293310	−	1.14014i	−0.0116858	−	0.0454243i
$631$	−4.03611	+	4.65792i	−0.160675	+	0.185429i	−0.830378	−	0.557200i	$-0.811876\pi$
$631$	−4.03611	+	4.65792i	−0.160675	+	0.185429i	0.669703	+	0.742629i	$0.266421\pi$
$632$	12.6995	−	21.6843i	0.505158	−	0.862554i
$633$	2.62349	+	1.68601i	0.104274	+	0.0670130i
$634$	−0.0659782	+	0.369708i	−0.00262033	+	0.0146830i
$635$	−2.40414	−	0.705918i	−0.0954052	−	0.0280135i
$636$	12.3290	+	4.54522i	0.488876	+	0.180230i
$637$	11.7393	+	13.5479i	0.465128	+	0.536786i
$638$	2.61612	+	1.80905i	0.103573	+	0.0716211i
$639$	−6.18594	−	21.0674i	−0.244712	−	0.833413i
$640$	8.86275	−	1.72092i	0.350331	−	0.0680254i
$641$	30.1488	+	4.33474i	1.19081	+	0.171212i	0.709091	−	0.705117i	$-0.249105\pi$
$641$	30.1488	+	4.33474i	1.19081	+	0.171212i	0.481714	+	0.876329i	$0.340014\pi$
$642$	1.89049	+	0.941828i	0.0746117	+	0.0371710i
$643$	−34.2832			−1.35200			−0.675998	−	0.736903i	$-0.736287\pi$
$643$	−34.2832			−1.35200			−0.675998	+	0.736903i	$0.736287\pi$
$644$	4.53299	−	1.51305i	0.178625	−	0.0596224i
$645$	9.68791			0.381461
$646$	10.4157	+	5.18901i	0.409799	+	0.204159i
$647$	−14.2097	−	2.04304i	−0.558639	−	0.0803202i	−0.142789	−	0.989753i	$-0.545607\pi$
$647$	−14.2097	−	2.04304i	−0.558639	−	0.0803202i	−0.415850	+	0.909433i	$0.636516\pi$
$648$	−4.36172	−	1.77765i	−0.171345	−	0.0698327i
$649$	−3.38764	−	11.5372i	−0.132976	−	0.452876i
$650$	13.4751	+	9.31809i	0.528538	+	0.365485i
$651$	−2.58639	−	2.98485i	−0.101369	−	0.116986i
$652$	5.95485	−	16.1526i	0.233210	−	0.632585i
$653$	30.0163	+	8.81357i	1.17463	+	0.344902i	0.810100	−	0.586291i	$-0.199413\pi$
$653$	30.0163	+	8.81357i	1.17463	+	0.344902i	0.364527	+	0.931193i	$0.381231\pi$
$654$	1.19085	−	6.67289i	0.0465658	−	0.260931i
$655$	−2.40837	−	1.54776i	−0.0941027	−	0.0604761i
$656$	−0.00863781	−	1.13752i	−0.000337250	−	0.0444129i
$657$	15.4058	−	17.7793i	0.601039	−	0.693636i
$658$	−0.00464322	−	0.0180489i	−0.000181012	−	0.000703620i
$659$	−5.65536	−	39.3339i	−0.220302	−	1.53223i	−0.736899	−	0.676003i	$-0.763711\pi$
$659$	−5.65536	−	39.3339i	−0.220302	−	1.53223i	0.516597	−	0.856228i	$-0.327198\pi$
$660$	3.36125	−	0.744572i	0.130837	−	0.0289824i
$661$	4.09903	−	1.87196i	0.159434	−	0.0728110i	−0.334100	−	0.942538i	$-0.608432\pi$
$661$	4.09903	−	1.87196i	0.159434	−	0.0728110i	0.493534	+	0.869727i	$0.335705\pi$
$662$	2.38320	+	2.21041i	0.0926258	+	0.0859100i
$663$	2.28787	−	5.00974i	0.0888536	−	0.194562i
$664$	−50.7622	−	5.16524i	−1.96995	−	0.200450i
$665$	0.811695	+	1.26302i	0.0314762	+	0.0489779i
$666$	10.1407	+	17.0176i	0.392945	+	0.659418i
$667$	−2.72625	+	3.90202i	−0.105561	+	0.151087i
$668$	12.5299	+	6.78021i	0.484796	+	0.262334i
$669$	10.6374	−	6.83626i	0.411267	−	0.264305i
$670$	1.32267	−	0.550810i	0.0510990	−	0.0212797i
$671$	17.2846	+	7.89360i	0.667264	+	0.304729i
$672$	−0.451292	+	2.64477i	−0.0174090	+	0.102024i
$673$	−17.6603	−	38.6707i	−0.680755	−	1.49064i	−0.861842	−	0.507177i	$-0.830689\pi$
$673$	−17.6603	−	38.6707i	−0.680755	−	1.49064i	0.181087	−	0.983467i	$-0.442038\pi$
$674$	5.46953	−	16.5380i	0.210678	−	0.637021i
$675$	−20.9421	+	3.01101i	−0.806060	+	0.115894i
$676$	8.38344	−	8.44734i	0.322440	−	0.324898i
$677$	−11.3624	−	9.84562i	−0.436694	−	0.378398i	0.408587	−	0.912719i	$-0.366022\pi$
$677$	−11.3624	−	9.84562i	−0.436694	−	0.378398i	−0.845281	+	0.534322i	$0.820567\pi$
$678$	19.9798	+	0.675606i	0.767320	+	0.0259465i
$679$	−3.51836	+	5.47468i	−0.135022	+	0.210099i
$680$	3.84700	+	3.06414i	0.147526	+	0.117504i
$681$	−4.10794	+	13.9904i	−0.157417	+	0.536112i
$682$	−20.7464	+	16.7836i	−0.794422	+	0.642677i
$683$	−8.65735	+	7.50164i	−0.331264	+	0.287042i	−0.804572	−	0.593855i	$-0.797605\pi$
$683$	−8.65735	+	7.50164i	−0.331264	+	0.287042i	0.473308	+	0.880897i	$0.343060\pi$
$684$	15.7770	+	1.06820i	0.603248	+	0.0408437i
$685$	4.09492	−	1.20238i	0.156459	−	0.0459405i
$686$	−1.05405	−	9.63201i	−0.0402437	−	0.367752i
$687$	−2.17470	+	15.1254i	−0.0829700	+	0.577069i
$688$	46.5618	+	20.8382i	1.77515	+	0.794450i
$689$		−	18.3243i		−	0.698101i
$690$	1.08995	+	5.03563i	0.0414937	+	0.191703i
$691$		−	40.3727i		−	1.53585i	−0.640541	−	0.767924i	$-0.721290\pi$
$691$		−	40.3727i		−	1.53585i	0.640541	−	0.767924i	$-0.278710\pi$
$692$	−2.72601	−	36.1835i	−0.103627	−	1.37549i
$693$	0.336408	−	2.33977i	0.0127791	−	0.0888804i
$694$	−26.8884	+	2.94244i	−1.02067	+	0.111694i
$695$	9.66506	−	2.83792i	0.366617	−	0.107648i
$696$	−1.20983	−	2.38293i	−0.0458584	−	0.0903246i
$697$	0.468327	−	0.405808i	0.0177391	−	0.0153711i
$698$	−8.75721	−	10.8249i	−0.331465	−	0.409729i
$699$	2.53334	−	8.62777i	0.0958198	−	0.326332i
$700$	−1.53483	−	4.06782i	−0.0580113	−	0.153749i
$701$	−11.1576	+	17.3615i	−0.421415	+	0.655734i	−0.985440	−	0.170023i	$-0.945616\pi$
$701$	−11.1576	+	17.3615i	−0.421415	+	0.655734i	0.564025	+	0.825758i	$0.309252\pi$
$702$	0.615321	−	18.1970i	0.0232238	−	0.686801i
$703$	−19.0928	−	16.5440i	−0.720099	−	0.623970i
$704$	17.7563	+	3.65135i	0.669216	+	0.137615i
$705$	0.0198883	−	0.00285950i	0.000749036	−	0.000107695i
$706$	−22.6778	−	7.50009i	−0.853489	−	0.282270i
$707$	−2.55588	−	5.59659i	−0.0961236	−	0.210481i
$708$	−2.11005	+	9.88019i	−0.0793005	+	0.371320i
$709$	−26.9300	−	12.2985i	−1.01138	−	0.461880i	−0.160382	−	0.987055i	$-0.551273\pi$
$709$	−26.9300	−	12.2985i	−1.01138	−	0.461880i	−0.850994	+	0.525175i	$0.824000\pi$
$710$	4.54964	+	10.9251i	0.170745	+	0.410012i
$711$	15.6493	−	10.0572i	0.586894	−	0.377174i
$712$	29.7195	−	1.23094i	1.11378	−	0.0461314i
$713$	−24.9671	−	31.1693i	−0.935025	−	1.16730i
$714$	−1.25555	+	0.748177i	−0.0469877	+	0.0279998i
$715$	−2.59562	−	4.03886i	−0.0970706	−	0.151045i
$716$	0.942345	−	1.26884i	0.0352171	−	0.0474187i
$717$	11.5794	−	25.3554i	0.432442	−	0.946915i
$718$	−2.24554	+	2.42108i	−0.0838028	+	0.0903539i
$719$	−16.1469	+	7.37405i	−0.602178	+	0.275006i	−0.693087	−	0.720854i	$-0.743750\pi$
$719$	−16.1469	+	7.37405i	−0.602178	+	0.275006i	0.0909090	+	0.995859i	$0.471023\pi$
$720$	6.42670	+	1.83416i	0.239509	+	0.0683550i
$721$	0.738656	+	5.13747i	0.0275090	+	0.191329i
$722$	6.49236	−	1.67021i	0.241620	−	0.0621587i
$723$	10.5106	−	12.1299i	0.390895	−	0.451117i
$724$	12.4488	+	22.5938i	0.462654	+	0.839693i
$725$	3.64319	+	2.34133i	0.135305	+	0.0869549i
$726$	−7.77349	−	1.38726i	−0.288501	−	0.0514860i
$727$	−37.8313	−	11.1083i	−1.40309	−	0.411983i	−0.509343	−	0.860564i	$-0.670112\pi$
$727$	−37.8313	−	11.1083i	−1.40309	−	0.411983i	−0.893742	+	0.448581i	$0.851930\pi$
$728$	3.67823	−	0.685278i	0.136324	−	0.0253981i
$729$	6.78538	+	7.83075i	0.251310	+	0.290028i
$730$	−7.21192	+	10.4293i	−0.266925	+	0.386007i
$731$	7.82903	+	26.6632i	0.289567	+	0.986175i
$732$	−9.61624	−	12.7447i	−0.355427	−	0.471056i
$733$	8.73941	+	1.25654i	0.322797	+	0.0464113i	0.301809	−	0.953368i	$-0.402410\pi$
$733$	8.73941	+	1.25654i	0.322797	+	0.0464113i	0.0209886	+	0.999780i	$0.493319\pi$
$734$	−20.9023	+	41.9563i	−0.771518	+	1.54863i
$735$	5.12902			0.189187
$736$	−5.59290	+	26.5466i	−0.206157	+	0.978519i
$737$	2.87686			0.105970
$738$	0.375505	−	0.753734i	0.0138225	−	0.0277453i
$739$	−12.5134	−	1.79915i	−0.460313	−	0.0661830i	−0.0917422	−	0.995783i	$-0.529244\pi$
$739$	−12.5134	−	1.79915i	−0.460313	−	0.0661830i	−0.368570	+	0.929600i	$0.620153\pi$
$740$	−6.43115	−	8.52337i	−0.236414	−	0.313325i
$741$	2.68896	+	9.15777i	0.0987815	+	0.336419i
$742$	−2.76584	+	3.99975i	−0.101537	+	0.146835i
$743$	−4.87338	−	5.62418i	−0.178787	−	0.206331i	0.659281	−	0.751896i	$-0.270861\pi$
$743$	−4.87338	−	5.62418i	−0.178787	−	0.206331i	−0.838069	+	0.545565i	$0.816315\pi$
$744$	22.0421	−	4.10658i	0.808102	−	0.150554i
$745$	13.8346	+	4.06221i	0.506861	+	0.148828i
$746$	6.54281	+	1.16763i	0.239549	+	0.0427501i
$747$	−31.7753	−	20.4208i	−1.16260	−	0.747157i
$748$	4.76553	+	8.64919i	0.174245	+	0.316246i
$749$	−0.511872	+	0.590732i	−0.0187034	+	0.0215849i
$750$	9.74184	−	2.50616i	0.355722	−	0.0915121i
$751$	5.53847	+	38.5209i	0.202102	+	1.40565i	0.798034	+	0.602612i	$0.205873\pi$
$751$	5.53847	+	38.5209i	0.202102	+	1.40565i	−0.595932	+	0.803035i	$0.703217\pi$
$752$	0.101737	+	0.0290355i	0.00370998	+	0.00105881i
$753$	−16.6844	+	7.61953i	−0.608015	+	0.277671i
$754$	−2.53435	+	2.73246i	−0.0922954	+	0.0995104i
$755$	4.80644	−	10.5246i	0.174924	−	0.383031i
$756$	−2.88092	+	3.87908i	−0.104778	+	0.141081i
$757$	−13.6875	−	21.2981i	−0.497479	−	0.774093i	0.498189	−	0.867068i	$-0.333999\pi$
$757$	−13.6875	−	21.2981i	−0.497479	−	0.774093i	−0.995668	+	0.0929754i	$0.970362\pi$
$758$	5.58977	−	3.33092i	0.203029	−	0.120985i
$759$	−1.86672	+	10.1753i	−0.0677577	+	0.369342i
$760$	−8.51586	+	0.352715i	−0.308903	+	0.0127943i
$761$	−6.82462	+	4.38591i	−0.247392	+	0.158989i	−0.658461	−	0.752615i	$-0.728792\pi$
$761$	−6.82462	+	4.38591i	−0.247392	+	0.158989i	0.411068	+	0.911604i	$0.365156\pi$
$762$	1.62508	+	3.90231i	0.0588703	+	0.141366i
$763$	2.28184	+	1.04208i	0.0826080	+	0.0377258i
$764$	−8.68891	+	40.6853i	−0.314354	+	1.47194i
$765$	1.51242	+	3.31173i	0.0546815	+	0.119736i
$766$	−37.5124	−	12.4063i	−1.35538	−	0.448256i
$767$	13.9455	−	2.00507i	0.503544	−	0.0723988i
$768$	−11.6612	−	9.79842i	−0.420787	−	0.353570i
$769$	9.48760	+	8.22105i	0.342132	+	0.296459i	0.808930	−	0.587905i	$-0.200047\pi$
$769$	9.48760	+	8.22105i	0.342132	+	0.296459i	−0.466798	+	0.884364i	$0.654593\pi$
$770$	−0.0430580	+	1.27336i	−0.00155170	+	0.0458888i
$771$	−4.77102	+	7.42386i	−0.171824	+	0.267364i
$772$	12.4115	+	32.8945i	0.446699	+	1.18390i
$773$	−0.188841	+	0.643132i	−0.00679213	+	0.0231319i	−0.962819	−	0.270146i	$-0.912928\pi$
$773$	−0.188841	+	0.643132i	−0.00679213	+	0.0231319i	0.956027	+	0.293278i	$0.0947462\pi$
$774$	23.7505	+	29.3583i	0.853694	+	1.05526i
$775$	−27.4589	+	23.7933i	−0.986354	+	0.854680i
$776$	−16.7248	−	32.9419i	−0.600386	−	1.18254i
$777$	3.04455	−	0.893961i	0.109223	−	0.0320707i
$778$	4.67521	−	0.511617i	0.167615	−	0.0183424i
$779$	−0.152834	+	1.06298i	−0.00547584	+	0.0380853i
$780$	0.303047	+	4.02247i	0.0108508	+	0.144028i
$781$			23.7626i			0.850293i
$782$	−12.9783	+	7.06919i	−0.464104	+	0.252794i
$783$		−	4.81289i		−	0.171999i
$784$	24.6510	+	11.0323i	0.880392	+	0.394010i
$785$	1.25192	−	8.70729i	0.0446829	−	0.310777i
$786$	0.525395	+	4.80112i	0.0187402	+	0.171250i
$787$	44.0025	−	12.9203i	1.56852	−	0.460559i	0.621949	−	0.783058i	$-0.286341\pi$
$787$	44.0025	−	12.9203i	1.56852	−	0.460559i	0.946570	+	0.322499i	$0.104523\pi$
$788$	16.2328	+	1.09907i	0.578271	+	0.0391526i
$789$	12.3980	−	10.7430i	0.441382	−	0.382459i
$790$	−7.79513	+	6.30616i	−0.277338	+	0.224363i
$791$	−2.08436	+	7.09868i	−0.0741114	+	0.252400i
$792$	10.4967	+	8.36060i	0.372983	+	0.297081i
$793$	−12.0371	+	18.7301i	−0.427449	+	0.665124i
$794$	−5.06668	−	0.171327i	−0.179810	−	0.00608017i
$795$	−3.96230	−	3.43335i	−0.140528	−	0.121768i
$796$	28.3460	−	28.5620i	1.00470	−	1.01235i
$797$	−48.7468	+	7.00874i	−1.72670	+	0.248262i	−0.932957	−	0.359989i	$-0.882781\pi$
$797$	−48.7468	+	7.00874i	−1.72670	+	0.248262i	−0.793745	+	0.608251i	$0.791871\pi$
$798$	0.795320	−	2.40478i	0.0281540	−	0.0851283i
$799$	0.0239422	+	0.0524260i	0.000847013	+	0.00185470i
$800$	24.3303	+	4.15162i	0.860208	+	0.146782i
$801$	20.0293	+	9.14707i	0.707700	+	0.323196i
$802$	−25.9532	+	10.8079i	−0.916438	+	0.381641i
$803$	−21.4185	+	13.7648i	−0.755841	+	0.485750i
$804$	−2.12589	−	1.15037i	−0.0749744	−	0.0405703i
$805$	−1.90532	−	0.0736547i	−0.0671537	−	0.00259599i
$806$	−16.0058	−	26.8600i	−0.563780	−	0.946103i
$807$	−12.8064	−	19.9271i	−0.450805	−	0.701467i
$808$	34.7486	+	3.53580i	1.22245	+	0.124389i
$809$	4.86676	−	10.6567i	0.171106	−	0.374671i	−0.804579	−	0.593845i	$-0.797609\pi$
$809$	4.86676	−	10.6567i	0.171106	−	0.374671i	0.975686	+	0.219175i	$0.0703364\pi$
$810$	1.37788	+	1.27798i	0.0484138	+	0.0449035i
$811$	44.5640	−	20.3517i	1.56485	−	0.714645i	0.570554	−	0.821260i	$-0.306729\pi$
$811$	44.5640	−	20.3517i	1.56485	−	0.714645i	0.994300	+	0.106616i	$0.0340014\pi$
$812$	0.965617	−	0.213900i	0.0338865	−	0.00750642i
$813$	0.0900535	+	0.626336i	0.00315831	+	0.0219666i
$814$	−5.34147	−	20.7631i	−0.187218	−	0.727747i
$815$	−4.49815	+	5.19114i	−0.157563	+	0.181838i
$816$	−0.0630035	−	8.29702i	−0.00220556	−	0.290454i
$817$	−40.5131	−	26.0362i	−1.41738	−	0.910892i
$818$	−1.64626	+	9.22479i	−0.0575601	+	0.322537i
$819$	2.65752	+	0.780318i	0.0928613	+	0.0272665i
$820$	−0.157000	+	0.425864i	−0.00548268	+	0.0148718i
$821$	14.9498	+	17.2530i	0.521751	+	0.602132i	0.954068	−	0.299589i	$-0.0968496\pi$
$821$	14.9498	+	17.2530i	0.521751	+	0.602132i	−0.432318	+	0.901721i	$0.642304\pi$
$822$	−5.92206	−	4.09512i	−0.206555	−	0.142834i
$823$	4.83709	+	16.4736i	0.168610	+	0.574234i	0.999833	+	0.0182938i	$0.00582341\pi$
$823$	4.83709	+	16.4736i	0.168610	+	0.574234i	−0.831222	+	0.555940i	$0.812358\pi$
$824$	−27.2861	−	11.1206i	−0.950555	−	0.387405i
$825$	9.31613	+	1.33946i	0.324346	+	0.0466339i
$826$	−3.34661	−	1.66726i	−0.116443	−	0.0580112i
$827$	34.5335			1.20085			0.600424	−	0.799682i	$-0.294998\pi$
$827$	34.5335			1.20085			0.600424	+	0.799682i	$0.294998\pi$
$828$	−12.5879	+	15.6481i	−0.437461	+	0.543811i
$829$	−18.3815			−0.638415			−0.319208	−	0.947685i	$-0.603417\pi$
$829$	−18.3815			−0.638415			−0.319208	+	0.947685i	$0.603417\pi$
$830$	18.2224	+	9.07827i	0.632509	+	0.315111i
$831$	−2.64875	−	0.380833i	−0.0918841	−	0.0132109i
$832$	−7.19565	+	19.9846i	−0.249464	+	0.692840i
$833$	4.14488	+	14.1162i	0.143612	+	0.489097i
$834$	−13.9776	−	9.66552i	−0.484003	−	0.334690i
$835$	−3.72250	−	4.29599i	−0.128822	−	0.148669i
$836$	−16.0572	−	5.91968i	−0.555350	−	0.204736i
$837$	38.7435	+	11.3761i	1.33917	+	0.393216i
$838$	−5.49320	+	30.7811i	−0.189759	+	1.06331i
$839$	15.2909	+	9.82687i	0.527901	+	0.339261i	0.777290	−	0.629142i	$-0.216594\pi$
$839$	15.2909	+	9.82687i	0.527901	+	0.339261i	−0.249390	+	0.968403i	$0.580230\pi$
$840$	0.540996	−	0.923748i	0.0186661	−	0.0318723i
$841$	18.3458	−	21.1722i	0.632615	−	0.730077i
$842$	−12.9317	−	50.2673i	−0.445654	−	1.73233i
$843$	2.34180	+	16.2876i	0.0806560	+	0.560975i
$844$	−1.41700	−	6.39680i	−0.0487750	−	0.220187i
$845$	−4.31945	+	1.97263i	−0.148594	+	0.0678604i
$846$	0.0574228	+	0.0532594i	0.00197424	+	0.00183109i
$847$	1.21395	−	2.65819i	0.0417120	−	0.0913365i
$848$	−11.6585	−	25.0240i	−0.400356	−	0.859328i
$849$	4.14239	+	6.44568i	0.142166	+	0.221215i
$850$	6.88279	+	11.5503i	0.236078	+	0.396172i
$851$	31.1114	−	7.84342i	1.06649	−	0.268869i
$852$	9.50193	−	17.5597i	0.325531	−	0.601584i
$853$	0.170463	−	0.109550i	0.00583654	−	0.00375092i	−0.537719	−	0.843124i	$-0.680714\pi$
$853$	0.170463	−	0.109550i	0.00583654	−	0.00375092i	0.543556	+	0.839373i	$0.317078\pi$
$854$	5.45447	−	2.27146i	0.186648	−	0.0777277i
$855$	−5.73922	−	2.62101i	−0.196277	−	0.0896368i
$856$	−1.42529	−	4.20228i	−0.0487153	−	0.143631i
$857$	11.9749	+	26.2213i	0.409054	+	0.895704i	0.996271	+	0.0862747i	$0.0274963\pi$
$857$	11.9749	+	26.2213i	0.409054	+	0.895704i	−0.587217	+	0.809430i	$0.699776\pi$
$858$	−2.54326	+	7.68995i	−0.0868254	+	0.262531i
$859$	4.15101	−	0.596825i	0.141631	−	0.0203634i	−0.0711349	−	0.997467i	$-0.522662\pi$
$859$	4.15101	−	0.596825i	0.141631	−	0.0203634i	0.212765	+	0.977103i	$0.431753\pi$
$860$	−14.4468	−	14.3375i	−0.492631	−	0.488905i
$861$	−0.101938	−	0.0883298i	−0.00347404	−	0.00301027i
$862$	−22.8768	−	0.773566i	−0.779186	−	0.0263478i
$863$	−17.2098	+	26.7790i	−0.585830	+	0.911569i	0.414169	+	0.910200i	$0.364072\pi$
$863$	−17.2098	+	26.7790i	−0.585830	+	0.911569i	−0.999999	+	0.00136911i	$0.999564\pi$
$864$	−10.7372	−	25.2416i	−0.365288	−	0.858737i
$865$	−4.07893	+	13.8916i	−0.138688	+	0.472327i
$866$	9.49038	−	7.67759i	0.322496	−	0.260895i
$867$	−8.81454	+	7.63784i	−0.299358	+	0.259395i
$868$	−0.560524	+	8.27876i	−0.0190254	+	0.280999i
$869$	−19.3168	+	5.67192i	−0.655277	+	0.192407i
$870$	0.115995	+	1.05998i	0.00393260	+	0.0359365i
$871$	−0.479720	+	3.33652i	−0.0162547	+	0.113054i
$872$	−11.6513	+	8.18836i	−0.394562	+	0.277293i
$873$		−	27.3486i		−	0.925609i
$874$	8.97524	−	23.9873i	0.303592	−	0.811384i
$875$			3.72266i			0.125849i
$876$	21.3316	−	1.60709i	0.720727	−	0.0542985i
$877$	−4.59765	+	31.9774i	−0.155252	+	1.07980i	0.751985	+	0.659180i	$0.229096\pi$
$877$	−4.59765	+	31.9774i	−0.155252	+	1.07980i	−0.907237	+	0.420620i	$0.861813\pi$
$878$	−16.1683	+	1.76933i	−0.545654	+	0.0597119i
$879$	16.6019	−	4.87475i	0.559967	−	0.164421i
$880$	−6.11428	−	3.86412i	−0.206112	−	0.130260i
$881$	−22.7621	+	19.7234i	−0.766873	+	0.664499i	−0.947753	−	0.319006i	$-0.896651\pi$
$881$	−22.7621	+	19.7234i	−0.766873	+	0.664499i	0.180880	+	0.983505i	$0.442106\pi$
$882$	12.5741	+	15.5430i	0.423392	+	0.523361i
$883$	−4.88166	+	16.6254i	−0.164281	+	0.559490i	0.835666	+	0.549237i	$0.185082\pi$
$883$	−4.88166	+	16.6254i	−0.164281	+	0.559490i	−0.999947	+	0.0102526i	$0.996736\pi$
$884$	−10.8258	+	4.08471i	−0.364112	+	0.137384i
$885$	2.17936	−	3.39115i	0.0732584	−	0.113992i
$886$	−1.71609	+	50.7501i	−0.0576531	+	1.70498i
$887$	24.3297	+	21.0818i	0.816910	+	0.707856i	0.959433	−	0.281935i	$-0.0909763\pi$
$887$	24.3297	+	21.0818i	0.816910	+	0.707856i	−0.142524	+	0.989791i	$0.545522\pi$
$888$	−4.35538	+	17.4790i	−0.146157	+	0.586558i
$889$	−1.54847	+	0.222636i	−0.0519339	+	0.00746697i
$890$	−11.2679	−	3.72658i	−0.377701	−	0.124915i
$891$	1.56755	+	3.43245i	0.0525148	+	0.114991i
$892$	−25.9799	−	5.54837i	−0.869873	−	0.185773i
$893$	−0.0908542	−	0.0414917i	−0.00304032	−	0.00138847i
$894$	−9.35151	−	22.4559i	−0.312761	−	0.751037i
$895$	−0.530506	+	0.340935i	−0.0177329	+	0.0113962i
$896$	4.58706	−	3.27604i	0.153243	−	0.109445i
$897$	−11.4899	−	3.86174i	−0.383636	−	0.128940i
$898$	3.05992	−	1.82340i	0.102111	−	0.0608476i
$899$	−4.46846	−	6.95306i	−0.149031	−	0.231898i
$900$	14.6683	+	10.8939i	0.488943	+	0.363130i
$901$	6.24730	−	13.6797i	0.208128	−	0.455736i
$902$	−0.619742	+	0.668189i	−0.0206352	+	0.0222483i
$903$	5.50204	−	2.51270i	0.183096	−	0.0836174i
$904$	−28.7944	−	30.5763i	−0.957687	−	1.01695i
$905$	−1.46480	−	10.1879i	−0.0486917	−	0.338658i
$906$	−18.9042	+	4.86324i	−0.628049	+	0.161570i
$907$	−1.04155	+	1.20201i	−0.0345841	+	0.0399122i	−0.772778	−	0.634676i	$-0.781133\pi$
$907$	−1.04155	+	1.20201i	−0.0345841	+	0.0399122i	0.738194	+	0.674588i	$0.235679\pi$
$908$	26.8307	−	14.7832i	0.890407	−	0.490597i
$909$	21.7514	+	13.9788i	0.721449	+	0.463647i
$910$	−1.46964	−	0.262272i	−0.0487181	−	0.00869425i
$911$	29.6700	+	8.71190i	0.983011	+	0.288638i	0.733467	−	0.679725i	$-0.237901\pi$
$911$	29.6700	+	8.71190i	0.983011	+	0.288638i	0.249544	+	0.968363i	$0.419719\pi$
$912$	9.49857	+	10.7952i	0.314529	+	0.357465i
$913$	26.7693	+	30.8934i	0.885935	+	1.02242i
$914$	24.9303	−	36.0523i	0.824619	−	1.19250i
$915$	1.79470	+	6.11217i	0.0593308	+	0.202062i
$916$	25.6275	−	19.3368i	0.846758	−	0.638906i
$917$	−1.76921	−	0.254375i	−0.0584246	−	0.00840019i
$918$	6.66324	−	13.3748i	0.219920	−	0.441435i
$919$	1.02775			0.0339023			0.0169512	−	0.999856i	$-0.494604\pi$
$919$	1.02775			0.0339023			0.0169512	+	0.999856i	$0.494604\pi$
$920$	5.82706	−	9.12227i	0.192112	−	0.300752i
$921$	11.7462			0.387052
$922$	8.10691	−	16.2727i	0.266987	−	0.535911i
$923$	−27.5594	−	3.96244i	−0.907129	−	0.130425i
$924$	1.71584	−	1.29465i	0.0564469	−	0.0425910i
$925$	−8.22392	−	28.0081i	−0.270401	−	0.920901i
$926$	−3.93314	+	5.68781i	−0.129251	+	0.186913i
$927$	−14.2838	−	16.4844i	−0.469142	−	0.541419i
$928$	−1.72246	+	5.34393i	−0.0565427	+	0.175423i
$929$	−18.7391	−	5.50230i	−0.614811	−	0.180525i	−0.0405236	−	0.999179i	$-0.512903\pi$
$929$	−18.7391	−	5.50230i	−0.614811	−	0.180525i	−0.574287	+	0.818654i	$0.694721\pi$
$930$	−8.80692	−	1.57169i	−0.288790	−	0.0515376i
$931$	−21.4487	−	13.7842i	−0.702951	−	0.451759i
$932$	−16.5463	+	9.11669i	−0.541992	+	0.298627i
$933$	−5.83225	+	6.73077i	−0.190939	+	0.220356i
$934$	28.2565	−	7.26921i	0.924582	−	0.237856i
$935$	−0.560744	−	3.90006i	−0.0183383	−	0.127546i
$936$	−11.4468	+	10.7797i	−0.374150	+	0.352345i
$937$	−42.6039	+	19.4565i	−1.39181	+	0.635617i	−0.963424	−	0.267980i	$-0.913644\pi$
$937$	−42.6039	+	19.4565i	−1.39181	+	0.635617i	−0.428383	+	0.903597i	$0.640917\pi$
$938$	0.608319	−	0.655873i	0.0198623	−	0.0214150i
$939$	0.541351	−	1.18539i	0.0176663	−	0.0386839i
$940$	−0.0338896	−	0.0251693i	−0.00110536	−	0.000820931i
$941$	−10.7930	−	16.7943i	−0.351842	−	0.547477i	0.619550	−	0.784957i	$-0.287315\pi$
$941$	−10.7930	−	16.7943i	−0.351842	−	0.547477i	−0.971392	+	0.237480i	$0.923679\pi$
$942$	−12.7489	+	7.59704i	−0.415382	+	0.247525i
$943$	−0.995484	−	0.932304i	−0.0324174	−	0.0303600i
$944$	17.7686	−	11.6108i	0.578318	−	0.377898i
$945$	1.62186	−	1.04230i	0.0527590	−	0.0339061i
$946$	−15.7112	−	37.7275i	−0.510815	−	1.22663i
$947$	39.5818	+	18.0764i	1.28624	+	0.587405i	0.936902	−	0.349593i	$-0.113680\pi$
$947$	39.5818	+	18.0764i	1.28624	+	0.587405i	0.349335	+	0.936998i	$0.386407\pi$
$948$	16.5424	+	3.53285i	0.537272	+	0.114742i
$949$	−12.3926	−	27.1360i	−0.402281	−	0.880872i
$950$	−22.1226	−	7.31649i	−0.717752	−	0.237378i
$951$	−0.250222	+	0.0359765i	−0.00811400	+	0.00116662i
$952$	2.97955	+	0.742436i	0.0965677	+	0.0240625i
$953$	−12.7601	−	11.0567i	−0.413342	−	0.358162i	0.423228	−	0.906023i	$-0.360897\pi$
$953$	−12.7601	−	11.0567i	−0.413342	−	0.358162i	−0.836570	+	0.547861i	$0.815442\pi$
$954$	0.690642	−	20.4245i	0.0223604	−	0.661266i
$955$	8.97432	−	13.9643i	0.290402	−	0.451875i
$956$	−54.7918	+	20.6736i	−1.77209	+	0.668632i
$957$	−0.603197	+	2.05430i	−0.0194986	+	0.0664061i
$958$	22.8540	+	28.2502i	0.738379	+	0.912721i
$959$	2.01377	−	1.74494i	0.0650280	−	0.0563471i
$960$	2.97308	+	5.30035i	0.0959557	+	0.171068i
$961$	36.7895	−	10.8024i	1.18676	−	0.348463i
$962$	24.9713	−	2.73266i	0.805108	−	0.0881045i
$963$	0.467483	−	3.25141i	0.0150644	−	0.104775i
$964$	−33.6252	+	2.53327i	−1.08299	+	0.0815913i
$965$		−	14.0280i		−	0.451577i
$966$	1.92508	+	2.57718i	0.0619383	+	0.0829195i
$967$		−	30.5981i		−	0.983969i	−0.870604	−	0.491984i	$-0.836272\pi$
$967$		−	30.5981i		−	0.983969i	0.870604	−	0.491984i	$-0.163728\pi$
$968$	9.53890	+	13.5730i	0.306592	+	0.436252i
$969$	−1.11476	+	7.75331i	−0.0358112	+	0.249072i
$970$	1.60353	+	14.6532i	0.0514863	+	0.470487i
$971$	38.1255	−	11.1946i	1.22350	−	0.359253i	0.394709	−	0.918806i	$-0.370845\pi$
$971$	38.1255	−	11.1946i	1.22350	−	0.359253i	0.828795	+	0.559553i	$0.189027\pi$
$972$	2.17954	−	32.1911i	0.0699089	−	1.03253i
$973$	4.75301	−	4.11851i	0.152375	−	0.132033i
$974$	19.7758	−	15.9984i	0.633658	−	0.512621i
$975$	−3.10695	+	10.5813i	−0.0995021	+	0.338873i
$976$	−4.52137	+	33.2365i	−0.144725	+	1.06387i
$977$	−18.3283	+	28.5195i	−0.586376	+	0.912418i	0.413623	+	0.910448i	$0.364263\pi$
$977$	−18.3283	+	28.5195i	−0.586376	+	0.912418i	−0.999998	+	0.00196969i	$0.999373\pi$
$978$	11.5816	+	0.391625i	0.370339	+	0.0125228i
$979$	−18.0095	−	15.6054i	−0.575588	−	0.498750i
$980$	−7.64848	−	7.59063i	−0.244322	−	0.242474i
$981$	−10.4347	+	1.50028i	−0.333153	+	0.0479002i
$982$	3.02866	−	9.15766i	0.0966485	−	0.292233i
$983$	−18.6401	−	40.8161i	−0.594527	−	1.30183i	−0.932668	−	0.360737i	$-0.882525\pi$
$983$	−18.6401	−	40.8161i	−0.594527	−	1.30183i	0.338141	−	0.941095i	$-0.390202\pi$
$984$	0.725155	−	0.245951i	0.0231171	−	0.00784062i
$985$	−5.90505	−	2.69675i	−0.188151	−	0.0859255i
$986$	−2.82354	+	1.17584i	−0.0899200	+	0.0374462i
$987$	0.0105535	−	0.00678230i	0.000335921	−	0.000215883i
$988$	9.54309	−	17.6357i	0.303606	−	0.561067i
$989$	56.5743	−	23.2393i	1.79896	−	0.738967i
$990$	−2.74088	−	4.59958i	−0.0871108	−	0.146184i
$991$	25.8619	+	40.2418i	0.821529	+	1.27832i	0.957737	+	0.287644i	$0.0928720\pi$
$991$	25.8619	+	40.2418i	0.821529	+	1.27832i	−0.136208	+	0.990680i	$0.543492\pi$
$992$	−38.9470	−	26.4971i	−1.23657	−	0.841283i
$993$	−0.908930	+	1.99028i	−0.0288440	+	0.0631596i
$994$	5.41745	+	5.02466i	0.171831	+	0.159373i
$995$	−14.6049	+	6.66981i	−0.463005	+	0.211447i
$996$	−7.42818	−	33.5333i	−0.235371	−	1.06254i
$997$	3.80103	+	26.4368i	0.120380	+	0.837260i	0.957127	+	0.289670i	$0.0935456\pi$
$997$	3.80103	+	26.4368i	0.120380	+	0.837260i	−0.836747	+	0.547590i	$0.815545\pi$
$998$	−9.92633	−	38.5851i	−0.314212	−	1.22139i
$999$	−21.2443	+	24.5172i	−0.672140	+	0.775691i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.11.8	✓	100
3.2	odd	2		828.2.u.a.379.3		100
4.3	odd	2	inner	92.2.h.a.11.10	yes	100
12.11	even	2		828.2.u.a.379.1		100
23.21	odd	22	inner	92.2.h.a.67.10	yes	100
69.44	even	22		828.2.u.a.343.1		100
92.67	even	22	inner	92.2.h.a.67.8	yes	100
276.251	odd	22		828.2.u.a.343.3		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.11.8	✓	100	1.1	even	1	trivial
92.2.h.a.11.10	yes	100	4.3	odd	2	inner
92.2.h.a.67.8	yes	100	92.67	even	22	inner
92.2.h.a.67.10	yes	100	23.21	odd	22	inner
828.2.u.a.343.1		100	69.44	even	22
828.2.u.a.343.3		100	276.251	odd	22
828.2.u.a.379.1		100	12.11	even	2
828.2.u.a.379.3		100	3.2	odd	2

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:	\( N \)	\(=\)	\( 92 = 2^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	92.h (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.630624 - 1.26582i) q^{2} +(0.942266 + 0.135477i) q^{3} +(-1.20463 - 1.59652i) q^{4} +(0.224821 + 0.765671i) q^{5} +(0.765707 - 1.10731i) q^{6} +(0.326270 + 0.376536i) q^{7} +(-2.78058 + 0.518040i) q^{8} +(-2.00897 - 0.589886i) q^{9} +O(q^{10})\)	\(q+(0.630624 - 1.26582i) q^{2} +(0.942266 + 0.135477i) q^{3} +(-1.20463 - 1.59652i) q^{4} +(0.224821 + 0.765671i) q^{5} +(0.765707 - 1.10731i) q^{6} +(0.326270 + 0.376536i) q^{7} +(-2.78058 + 0.518040i) q^{8} +(-2.00897 - 0.589886i) q^{9} +(1.11098 + 0.198266i) q^{10} +(1.90627 + 1.22508i) q^{11} +(-0.918785 - 1.66755i) q^{12} +(-1.73870 + 2.00657i) q^{13} +(0.682382 - 0.175548i) q^{14} +(0.108110 + 0.751924i) q^{15} +(-1.09775 + 3.84642i) q^{16} +(-1.98209 + 0.905190i) q^{17} +(-2.01360 + 2.17100i) q^{18} +(1.56869 - 3.43496i) q^{19} +(0.951583 - 1.28128i) q^{20} +(0.256421 + 0.398999i) q^{21} +(2.75288 - 1.64043i) q^{22} +(2.43504 + 4.13166i) q^{23} +(-2.69023 + 0.111426i) q^{24} +(3.67056 - 2.35893i) q^{25} +(1.44349 + 3.46628i) q^{26} +(-4.41085 - 2.01437i) q^{27} +(0.208114 - 0.974481i) q^{28} +(0.412317 + 0.902848i) q^{29} +(1.01998 + 0.337333i) q^{30} +(-8.24246 + 1.18509i) q^{31} +(4.17662 + 3.81521i) q^{32} +(1.63024 + 1.41261i) q^{33} +(-0.104142 + 3.07981i) q^{34} +(-0.214950 + 0.334469i) q^{35} +(1.47829 + 3.91795i) q^{36} +(1.88484 - 6.41916i) q^{37} +(-3.35880 - 4.15186i) q^{38} +(-1.91016 + 1.65516i) q^{39} +(-1.02178 - 2.01254i) q^{40} +(-0.272870 + 0.0801218i) q^{41} +(0.666768 - 0.0729656i) q^{42} +(1.81495 - 12.6232i) q^{43} +(-0.340467 - 4.51916i) q^{44} -1.67083i q^{45} +(6.76555 - 0.476811i) q^{46} -0.0264499i q^{47} +(-1.55548 + 3.47563i) q^{48} +(0.960877 - 6.68305i) q^{49} +(-0.671242 - 6.13388i) q^{50} +(-1.99029 + 0.584402i) q^{51} +(5.29800 + 0.358708i) q^{52} +(-5.21592 + 4.51962i) q^{53} +(-5.33143 + 4.31306i) q^{54} +(-0.509441 + 1.73500i) q^{55} +(-1.10228 - 0.877967i) q^{56} +(1.94349 - 3.02412i) q^{57} +(1.40286 + 0.0474371i) q^{58} +(-4.01034 - 3.47498i) q^{59} +(1.07023 - 1.07839i) q^{60} +(8.30030 - 1.19340i) q^{61} +(-3.69779 + 11.1809i) q^{62} +(-0.433353 - 0.948910i) q^{63} +(7.46327 - 2.88091i) q^{64} +(-1.92726 - 0.880152i) q^{65} +(2.81618 - 1.17277i) q^{66} +(1.06804 - 0.686390i) q^{67} +(3.83283 + 2.07403i) q^{68} +(1.73471 + 4.22301i) q^{69} +(0.287826 + 0.483013i) q^{70} +(5.66952 + 8.82195i) q^{71} +(5.89168 + 0.599501i) q^{72} +(-4.66753 + 10.2205i) q^{73} +(-6.93691 - 6.43395i) q^{74} +(3.77823 - 1.72546i) q^{75} +(-7.37367 + 1.63339i) q^{76} +(0.160670 + 1.11748i) q^{77} +(0.890554 + 3.46172i) q^{78} +(-5.81816 + 6.71451i) q^{79} +(-3.19189 + 0.0242376i) q^{80} +(1.40090 + 0.900307i) q^{81} +(-0.0706582 + 0.395932i) q^{82} +(17.3091 + 5.08240i) q^{83} +(0.328119 - 0.890026i) q^{84} +(-1.13869 - 1.31412i) q^{85} +(-14.8342 - 10.2579i) q^{86} +(0.266197 + 0.906583i) q^{87} +(-5.93517 - 2.41892i) q^{88} +(-10.4094 - 1.49664i) q^{89} +(-2.11497 - 1.05366i) q^{90} -1.32283 q^{91} +(3.66296 - 8.86469i) q^{92} -7.92714 q^{93} +(-0.0334809 - 0.0166799i) q^{94} +(2.98272 + 0.428851i) q^{95} +(3.41861 + 4.16078i) q^{96} +(3.67994 + 12.5327i) q^{97} +(-7.85361 - 5.43079i) q^{98} +(-3.10697 - 3.58563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9}+O(q^{10}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9	\( 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25} + 12 q^{26} - 11 q^{28} - 42 q^{29} - 11 q^{30} - 27 q^{32} - 22 q^{33} + 11 q^{34} + 77 q^{36} - 22 q^{37} + 44 q^{38} + 77 q^{40} - 10 q^{41} + 99 q^{42} + 66 q^{44} + 65 q^{46} + 38 q^{48} - 8 q^{49} + 30 q^{50} + 96 q^{52} - 22 q^{53} + 48 q^{54} + 44 q^{56} - 22 q^{57} + 79 q^{58} + 11 q^{60} - 22 q^{61} - 36 q^{62} + 10 q^{64} - 22 q^{65} - 44 q^{66} - 10 q^{69} + 34 q^{70} - 21 q^{72} - 18 q^{73} - 22 q^{74} - 66 q^{76} + 122 q^{77} - 66 q^{78} - 110 q^{80} + 8 q^{81} - 122 q^{82} - 165 q^{84} + 54 q^{85} - 121 q^{86} - 99 q^{88} + 22 q^{89} - 198 q^{90} - 86 q^{92} + 212 q^{93} - 61 q^{94} - 147 q^{96} + 22 q^{97} - 71 q^{98}+O(q^{100}) \) 100 * q - 7 * q^2 - 11 * q^4 - 22 * q^5 - 12 * q^6 - 10 * q^8 - 12 * q^9 - 11 * q^10 - 18 * q^12 - 18 * q^13 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 24 * q^18 - 11 * q^20 - 22 * q^21 - 30 * q^24 - 16 * q^25 + 12 * q^26 - 11 * q^28 - 42 * q^29 - 11 * q^30 - 27 * q^32 - 22 * q^33 + 11 * q^34 + 77 * q^36 - 22 * q^37 + 44 * q^38 + 77 * q^40 - 10 * q^41 + 99 * q^42 + 66 * q^44 + 65 * q^46 + 38 * q^48 - 8 * q^49 + 30 * q^50 + 96 * q^52 - 22 * q^53 + 48 * q^54 + 44 * q^56 - 22 * q^57 + 79 * q^58 + 11 * q^60 - 22 * q^61 - 36 * q^62 + 10 * q^64 - 22 * q^65 - 44 * q^66 - 10 * q^69 + 34 * q^70 - 21 * q^72 - 18 * q^73 - 22 * q^74 - 66 * q^76 + 122 * q^77 - 66 * q^78 - 110 * q^80 + 8 * q^81 - 122 * q^82 - 165 * q^84 + 54 * q^85 - 121 * q^86 - 99 * q^88 + 22 * q^89 - 198 * q^90 - 86 * q^92 + 212 * q^93 - 61 * q^94 - 147 * q^96 + 22 * q^97 - 71 * q^98

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