LMFDB - Embedded newform 92.2.h.a.7.8

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			7.8
Character	$\chi$	$=$	92.7
Dual form			92.2.h.a.79.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.745560 + 1.20172i) q^{2} +(0.145312 + 0.226109i) q^{3} +(-0.888280 + 1.79191i) q^{4} +(1.05084 - 0.479903i) q^{5} +(-0.163382 + 0.343203i) q^{6} +(-1.55538 + 0.456702i) q^{7} +(-2.81565 + 0.268514i) q^{8} +(1.21624 - 2.66318i) q^{9} +O(q^{10})$	\(q+(0.745560 + 1.20172i) q^{2} +(0.145312 + 0.226109i) q^{3} +(-0.888280 + 1.79191i) q^{4} +(1.05084 - 0.479903i) q^{5} +(-0.163382 + 0.343203i) q^{6} +(-1.55538 + 0.456702i) q^{7} +(-2.81565 + 0.268514i) q^{8} +(1.21624 - 2.66318i) q^{9} +(1.36018 + 0.905024i) q^{10} +(-0.134187 - 0.154860i) q^{11} +(-0.534246 + 0.0595378i) q^{12} +(1.27600 + 0.374668i) q^{13} +(-1.70846 - 1.52864i) q^{14} +(0.261210 + 0.167870i) q^{15} +(-2.42192 - 3.18344i) q^{16} +(-2.32999 - 0.335002i) q^{17} +(4.10719 - 0.523985i) q^{18} +(-0.915384 - 6.36664i) q^{19} +(-0.0734954 + 2.30931i) q^{20} +(-0.329280 - 0.285323i) q^{21} +(0.0860546 - 0.276714i) q^{22} +(4.57484 + 1.43904i) q^{23} +(-0.469861 - 0.597627i) q^{24} +(-2.40034 + 2.77014i) q^{25} +(0.501089 + 1.81274i) q^{26} +(1.57703 - 0.226742i) q^{27} +(0.563245 - 3.19279i) q^{28} +(-0.560267 + 3.89674i) q^{29} +(-0.00698492 + 0.439059i) q^{30} +(-1.31067 + 2.03944i) q^{31} +(2.01993 - 5.28393i) q^{32} +(0.0155164 - 0.0528440i) q^{33} +(-1.33457 - 3.04977i) q^{34} +(-1.41529 + 1.22635i) q^{35} +(3.69184 + 4.54504i) q^{36} +(-7.29447 - 3.33127i) q^{37} +(6.96846 - 5.84675i) q^{38} +(0.100702 + 0.342960i) q^{39} +(-2.82994 + 1.63341i) q^{40} +(1.86121 + 4.07548i) q^{41} +(0.0973810 - 0.608429i) q^{42} +(-3.30721 + 2.12541i) q^{43} +(0.396692 - 0.102893i) q^{44} -3.38226i q^{45} +(1.68149 + 6.57059i) q^{46} +11.3138i q^{47} +(0.367873 - 1.01021i) q^{48} +(-3.67814 + 2.36379i) q^{49} +(-5.11855 - 0.819240i) q^{50} +(-0.262828 - 0.575513i) q^{51} +(-1.80482 + 1.95368i) q^{52} +(2.96624 + 10.1021i) q^{53} +(1.44825 + 1.72610i) q^{54} +(-0.215327 - 0.0983367i) q^{55} +(4.25679 - 1.70356i) q^{56} +(1.30654 - 1.13212i) q^{57} +(-5.10052 + 2.23197i) q^{58} +(2.81381 - 9.58295i) q^{59} +(-0.532836 + 0.318951i) q^{60} +(4.82228 - 7.50361i) q^{61} +(-3.42802 - 0.0545358i) q^{62} +(-0.675431 + 4.69773i) q^{63} +(7.85580 - 1.51208i) q^{64} +(1.52068 - 0.218641i) q^{65} +(0.0750723 - 0.0207520i) q^{66} +(4.34762 - 5.01742i) q^{67} +(2.66998 - 3.87757i) q^{68} +(0.339397 + 1.24352i) q^{69} +(-2.52892 - 0.786464i) q^{70} +(5.22648 + 4.52877i) q^{71} +(-2.70939 + 7.82518i) q^{72} +(-0.282200 - 1.96274i) q^{73} +(-1.43520 - 11.2496i) q^{74} +(-0.975154 - 0.140206i) q^{75} +(12.2216 + 4.01506i) q^{76} +(0.279437 + 0.179583i) q^{77} +(-0.337064 + 0.376713i) q^{78} +(-11.7079 - 3.43774i) q^{79} +(-4.07280 - 2.18301i) q^{80} +(-5.47139 - 6.31433i) q^{81} +(-3.50996 + 5.27517i) q^{82} +(5.58187 - 12.2226i) q^{83} +(0.803767 - 0.336595i) q^{84} +(-2.60922 + 0.766136i) q^{85} +(-5.01988 - 2.38973i) q^{86} +(-0.962504 + 0.439561i) q^{87} +(0.419407 + 0.400002i) q^{88} +(2.13650 + 3.32446i) q^{89} +(4.06454 - 2.52168i) q^{90} -2.15578 q^{91} +(-6.64237 + 6.91946i) q^{92} -0.651591 q^{93} +(-13.5961 + 8.43512i) q^{94} +(-4.01729 - 6.25103i) q^{95} +(1.48827 - 0.311090i) q^{96} +(12.2954 - 5.61513i) q^{97} +(-5.58290 - 2.65775i) q^{98} +(-0.575624 + 0.169019i) 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 $\left(\mathbb{Z}/92\mathbb{Z}\right)^\times$.

$n$	$5$	$47$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$

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 $

$2$	0.745560	+	1.20172i	0.527191	+	0.849747i
$2$	0.745560	+	1.20172i	0.527191	+	0.849747i
$3$	0.145312	+	0.226109i	0.0838958	+	0.130544i	0.880665	−	0.473739i	$-0.157096\pi$
$3$	0.145312	+	0.226109i	0.0838958	+	0.130544i	−0.796770	+	0.604283i	$0.793460\pi$
$4$	−0.888280	+	1.79191i	−0.444140	+	0.895957i
$5$	1.05084	−	0.479903i	0.469951	−	0.214619i	−0.166340	−	0.986068i	$-0.553195\pi$
$5$	1.05084	−	0.479903i	0.469951	−	0.214619i	0.636291	+	0.771449i	$0.280468\pi$
$6$	−0.163382	+	0.343203i	−0.0667006	+	0.140112i
$7$	−1.55538	+	0.456702i	−0.587879	+	0.172617i	−0.562126	−	0.827051i	$-0.690017\pi$
$7$	−1.55538	+	0.456702i	−0.587879	+	0.172617i	−0.0257531	+	0.999668i	$0.508198\pi$
$8$	−2.81565	+	0.268514i	−0.995484	+	0.0949340i
$9$	1.21624	−	2.66318i	0.405412	−	0.887728i
$10$	1.36018	+	0.905024i	0.430126	+	0.286194i
$11$	−0.134187	−	0.154860i	−0.0404590	−	0.0466921i	0.735159	−	0.677894i	$-0.237107\pi$
$11$	−0.134187	−	0.154860i	−0.0404590	−	0.0466921i	−0.775618	+	0.631202i	$0.782562\pi$
$12$	−0.534246	+	0.0595378i	−0.154224	+	0.0171871i
$13$	1.27600	+	0.374668i	0.353900	+	0.103914i	0.453850	−	0.891078i	$-0.350050\pi$
$13$	1.27600	+	0.374668i	0.353900	+	0.103914i	−0.0999504	+	0.994992i	$0.531868\pi$
$14$	−1.70846	−	1.52864i	−0.456605	−	0.408547i
$15$	0.261210	+	0.167870i	0.0674442	+	0.0433437i
$16$	−2.42192	−	3.18344i	−0.605480	−	0.795861i
$17$	−2.32999	−	0.335002i	−0.565106	−	0.0812500i	−0.146160	−	0.989261i	$-0.546691\pi$
$17$	−2.32999	−	0.335002i	−0.565106	−	0.0812500i	−0.418946	+	0.908011i	$0.637600\pi$
$18$	4.10719	−	0.523985i	0.968073	−	0.123505i
$19$	−0.915384	−	6.36664i	−0.210004	−	1.46061i	−0.773136	−	0.634240i	$-0.781313\pi$
$19$	−0.915384	−	6.36664i	−0.210004	−	1.46061i	0.563133	−	0.826367i	$-0.309596\pi$
$20$	−0.0734954	+	2.30931i	−0.0164341	+	0.516377i
$21$	−0.329280	−	0.285323i	−0.0718548	−	0.0622625i
$22$	0.0860546	−	0.276714i	0.0183469	−	0.0589955i
$23$	4.57484	+	1.43904i	0.953920	+	0.300061i
$23$	4.57484	+	1.43904i	0.953920	+	0.300061i
$24$	−0.469861	−	0.597627i	−0.0959099	−	0.121990i
$25$	−2.40034	+	2.77014i	−0.480069	+	0.554029i
$26$	0.501089	+	1.81274i	0.0982717	+	0.355508i
$27$	1.57703	−	0.226742i	0.303499	−	0.0436366i
$28$	0.563245	−	3.19279i	0.106443	−	0.603381i
$29$	−0.560267	+	3.89674i	−0.104039	+	0.723607i	0.869308	+	0.494270i	$0.164565\pi$
$29$	−0.560267	+	3.89674i	−0.104039	+	0.723607i	−0.973347	+	0.229337i	$0.926344\pi$
$30$	−0.00698492	+	0.439059i	−0.00127527	+	0.0801609i
$31$	−1.31067	+	2.03944i	−0.235403	+	0.366294i	−0.938777	−	0.344526i	$-0.888040\pi$
$31$	−1.31067	+	2.03944i	−0.235403	+	0.366294i	0.703374	+	0.710820i	$0.251676\pi$
$32$	2.01993	−	5.28393i	0.357077	−	0.934075i
$33$	0.0155164	−	0.0528440i	0.00270106	−	0.00919896i
$34$	−1.33457	−	3.04977i	−0.228877	−	0.523032i
$35$	−1.41529	+	1.22635i	−0.239227	+	0.207292i
$36$	3.69184	+	4.54504i	0.615307	+	0.757507i
$37$	−7.29447	−	3.33127i	−1.19920	−	0.547658i	−0.287212	−	0.957867i	$-0.592728\pi$
$37$	−7.29447	−	3.33127i	−1.19920	−	0.547658i	−0.911992	+	0.410209i	$0.865456\pi$
$38$	6.96846	−	5.84675i	1.13043	−	0.948468i
$39$	0.100702	+	0.342960i	0.0161252	+	0.0549175i
$40$	−2.82994	+	1.63341i	−0.447453	+	0.258264i
$41$	1.86121	+	4.07548i	0.290672	+	0.636483i	0.997482	−	0.0709207i	$-0.0225937\pi$
$41$	1.86121	+	4.07548i	0.290672	+	0.636483i	−0.706810	+	0.707403i	$0.749866\pi$
$42$	0.0973810	−	0.608429i	0.0150262	−	0.0938826i
$43$	−3.30721	+	2.12541i	−0.504345	+	0.324123i	−0.767952	−	0.640507i	$-0.778724\pi$
$43$	−3.30721	+	2.12541i	−0.504345	+	0.324123i	0.263607	+	0.964630i	$0.415088\pi$
$44$	0.396692	−	0.102893i	0.0598036	−	0.0155117i
$45$		−	3.38226i		−	0.504197i
$46$	1.68149	+	6.57059i	0.247922	+	0.968780i
$47$			11.3138i			1.65029i	0.564922	+	0.825144i	$0.308906\pi$
$47$			11.3138i			1.65029i	−0.564922	+	0.825144i	$0.691094\pi$
$48$	0.367873	−	1.01021i	0.0530980	−	0.145811i
$49$	−3.67814	+	2.36379i	−0.525448	+	0.337685i
$50$	−5.11855	−	0.819240i	−0.723872	−	0.115858i
$51$	−0.262828	−	0.575513i	−0.0368033	−	0.0805880i
$52$	−1.80482	+	1.95368i	−0.250284	+	0.270926i
$53$	2.96624	+	10.1021i	0.407445	+	1.38763i	0.866480	+	0.499211i	$0.166377\pi$
$53$	2.96624	+	10.1021i	0.407445	+	1.38763i	−0.459036	+	0.888418i	$0.651805\pi$
$54$	1.44825	+	1.72610i	0.197082	+	0.234893i
$55$	−0.215327	−	0.0983367i	−0.0290347	−	0.0132597i
$56$	4.25679	−	1.70356i	0.568837	−	0.227647i
$57$	1.30654	−	1.13212i	0.173056	−	0.149953i
$58$	−5.10052	+	2.23197i	−0.669731	+	0.293072i
$59$	2.81381	−	9.58295i	0.366327	−	1.24759i	−0.545880	−	0.837863i	$-0.683805\pi$
$59$	2.81381	−	9.58295i	0.366327	−	1.24759i	0.912207	−	0.409730i	$-0.134377\pi$
$60$	−0.532836	+	0.318951i	−0.0687888	+	0.0411764i
$61$	4.82228	−	7.50361i	0.617429	−	0.960739i	−0.381903	−	0.924202i	$-0.624731\pi$
$61$	4.82228	−	7.50361i	0.617429	−	0.960739i	0.999332	−	0.0365364i	$-0.0116325\pi$
$62$	−3.42802	−	0.0545358i	−0.435359	−	0.00692606i
$63$	−0.675431	+	4.69773i	−0.0850963	+	0.591858i
$64$	7.85580	−	1.51208i	0.981975	−	0.189010i
$65$	1.52068	−	0.218641i	0.188617	−	0.0271191i
$66$	0.0750723	−	0.0207520i	0.00924076	−	0.00255439i
$67$	4.34762	−	5.01742i	0.531147	−	0.612976i	−0.425240	−	0.905081i	$-0.639810\pi$
$67$	4.34762	−	5.01742i	0.531147	−	0.612976i	0.956386	+	0.292105i	$0.0943557\pi$
$68$	2.66998	−	3.87757i	0.323783	−	0.470225i
$69$	0.339397	+	1.24352i	0.0408586	+	0.149703i
$70$	−2.52892	−	0.786464i	−0.302264	−	0.0940005i
$71$	5.22648	+	4.52877i	0.620269	+	0.537466i	0.907315	−	0.420451i	$-0.138128\pi$
$71$	5.22648	+	4.52877i	0.620269	+	0.537466i	−0.287047	+	0.957917i	$0.592673\pi$
$72$	−2.70939	+	7.82518i	−0.319305	+	0.922206i
$73$	−0.282200	−	1.96274i	−0.0330290	−	0.229722i	0.966620	−	0.256214i	$-0.0824753\pi$
$73$	−0.282200	−	1.96274i	−0.0330290	−	0.229722i	−0.999649	+	0.0264926i	$0.991566\pi$
$74$	−1.43520	−	11.2496i	−0.166838	−	1.30774i
$75$	−0.975154	−	0.140206i	−0.112601	−	0.0161896i
$76$	12.2216	+	4.01506i	1.40191	+	0.460559i
$77$	0.279437	+	0.179583i	0.0318448	+	0.0204654i
$78$	−0.337064	+	0.376713i	−0.0381649	+	0.0426544i
$79$	−11.7079	−	3.43774i	−1.31724	−	0.386776i	−0.453742	−	0.891133i	$-0.649911\pi$
$79$	−11.7079	−	3.43774i	−1.31724	−	0.386776i	−0.863495	+	0.504358i	$0.831729\pi$
$80$	−4.07280	−	2.18301i	−0.455352	−	0.244068i
$81$	−5.47139	−	6.31433i	−0.607933	−	0.701592i
$82$	−3.50996	+	5.27517i	−0.387610	+	0.582545i
$83$	5.58187	−	12.2226i	0.612690	−	1.34160i	−0.308029	−	0.951377i	$-0.599669\pi$
$83$	5.58187	−	12.2226i	0.612690	−	1.34160i	0.920719	−	0.390227i	$-0.127603\pi$
$84$	0.803767	−	0.336595i	0.0876981	−	0.0367256i
$85$	−2.60922	+	0.766136i	−0.283010	+	0.0830992i
$86$	−5.01988	−	2.38973i	−0.541308	−	0.257691i
$87$	−0.962504	+	0.439561i	−0.103191	+	0.0471258i
$88$	0.419407	+	0.400002i	0.0447089	+	0.0426403i
$89$	2.13650	+	3.32446i	0.226469	+	0.352392i	0.935829	−	0.352453i	$-0.114653\pi$
$89$	2.13650	+	3.32446i	0.226469	+	0.352392i	−0.709361	+	0.704846i	$0.751016\pi$
$90$	4.06454	−	2.52168i	0.428440	−	0.265808i
$91$	−2.15578			−0.225988
$92$	−6.64237	+	6.91946i	−0.692515	+	0.721403i
$93$	−0.651591			−0.0675669
$94$	−13.5961	+	8.43512i	−1.40233	+	0.870017i
$95$	−4.01729	−	6.25103i	−0.412166	−	0.641342i
$96$	1.48827	−	0.311090i	0.151895	−	0.0317505i
$97$	12.2954	−	5.61513i	1.24841	−	0.570131i	0.322035	−	0.946728i	$-0.395633\pi$
$97$	12.2954	−	5.61513i	1.24841	−	0.570131i	0.926377	+	0.376597i	$0.122906\pi$
$98$	−5.58290	−	2.65775i	−0.563958	−	0.268473i
$99$	−0.575624	+	0.169019i	−0.0578524	+	0.0169870i
$100$	−2.83169	−	6.76187i	−0.283169	−	0.676187i
$101$	5.51133	−	12.0681i	0.548398	−	1.20082i	−0.409128	−	0.912477i	$-0.634167\pi$
$101$	5.51133	−	12.0681i	0.548398	−	1.20082i	0.957526	−	0.288347i	$-0.0931058\pi$
$102$	0.495654	−	0.744926i	0.0490770	−	0.0737587i
$103$	11.0162	+	12.7134i	1.08546	+	1.25269i	0.965637	+	0.259894i	$0.0836877\pi$
$103$	11.0162	+	12.7134i	1.08546	+	1.25269i	0.119824	+	0.992795i	$0.461767\pi$
$104$	−3.69338	−	0.712311i	−0.362166	−	0.0698479i
$105$	−0.482948	−	0.141806i	−0.0471309	−	0.0138389i
$106$	−9.92841	+	11.0963i	−0.964332	+	1.07777i
$107$	−13.5366	−	8.69943i	−1.30863	−	0.841005i	−0.314506	−	0.949255i	$-0.601839\pi$
$107$	−13.5366	−	8.69943i	−1.30863	−	0.841005i	−0.994124	+	0.108250i	$0.965475\pi$
$108$	−0.994538	+	3.02731i	−0.0956995	+	0.291303i
$109$	−3.54648	−	0.509907i	−0.339691	−	0.0488402i	−0.0296415	−	0.999561i	$-0.509437\pi$
$109$	−3.54648	−	0.509907i	−0.339691	−	0.0488402i	−0.310050	+	0.950720i	$0.600346\pi$
$110$	−0.0423660	−	0.332080i	−0.00403944	−	0.0316626i
$111$	−0.306740	−	2.13342i	−0.0291144	−	0.202495i
$112$	5.22089	+	3.84538i	0.493328	+	0.363354i
$113$	4.76868	+	4.13208i	0.448600	+	0.388714i	0.849654	−	0.527340i	$-0.176811\pi$
$113$	4.76868	+	4.13208i	0.448600	+	0.388714i	−0.401054	+	0.916054i	$0.631356\pi$
$114$	2.33460	+	0.726034i	0.218656	+	0.0679993i
$115$	5.49803	−	0.683278i	0.512694	−	0.0637160i
$116$	−6.48496	−	4.46535i	−0.602113	−	0.414597i
$117$	2.54973	−	2.94254i	0.235723	−	0.272038i
$118$	13.6139	−	3.76325i	1.25326	−	0.346435i
$119$	3.77703	−	0.543054i	0.346239	−	0.0497817i
$120$	−0.780552	−	0.402524i	−0.0712544	−	0.0367452i
$121$	1.55949	−	10.8465i	0.141772	−	0.986043i
$122$	12.6126	+	0.200651i	1.14189	+	0.0181661i
$123$	−0.651049	+	1.01305i	−0.0587031	+	0.0913438i
$124$	−2.49026	−	4.16019i	−0.223632	−	0.373596i
$125$	−2.82032	+	9.60513i	−0.252257	+	0.859109i
$126$	−6.14894	+	2.69076i	−0.547791	+	0.239712i
$127$	−8.77418	+	7.60287i	−0.778582	+	0.674645i	−0.950590	−	0.310450i	$-0.899520\pi$
$127$	−8.77418	+	7.60287i	−0.778582	+	0.674645i	0.172007	+	0.985096i	$0.444975\pi$
$128$	7.67408	+	8.31315i	0.678299	+	0.734786i
$129$	−0.961152	−	0.438944i	−0.0846247	−	0.0386468i
$130$	1.39651	+	1.66443i	0.122482	+	0.145980i
$131$	3.40795	+	11.6064i	0.297754	+	1.01406i	0.963462	+	0.267845i	$0.0863114\pi$
$131$	3.40795	+	11.6064i	0.297754	+	1.01406i	−0.665708	+	0.746212i	$0.731870\pi$
$132$	0.0809090	+	0.0747443i	0.00704223	+	0.00650566i
$133$	4.33143	+	9.48450i	0.375582	+	0.822410i
$134$	9.27097	+	1.48385i	0.800890	+	0.128185i
$135$	1.54839	−	0.995090i	0.133264	−	0.0856438i
$136$	6.65040	+	0.317615i	0.570267	+	0.0272353i
$137$			7.76243i			0.663189i	0.943422	+	0.331594i	$0.107587\pi$
$137$			7.76243i			0.663189i	−0.943422	+	0.331594i	$0.892413\pi$
$138$	−1.24133	+	1.33498i	−0.105669	+	0.113641i
$139$			9.53475i			0.808727i	0.914598	+	0.404363i	$0.132507\pi$
$139$			9.53475i			0.808727i	−0.914598	+	0.404363i	$0.867493\pi$
$140$	−0.940351	−	3.62542i	−0.0794741	−	0.306404i
$141$	−2.55816	+	1.64403i	−0.215436	+	0.138452i
$142$	−1.54567	+	9.65725i	−0.129710	+	0.810418i
$143$	−0.113202	−	0.247878i	−0.00946643	−	0.0207286i
$144$	−11.4237	+	2.57820i	−0.951976	+	0.214850i
$145$	1.28131	+	4.36373i	0.106407	+	0.362388i
$146$	2.14828	−	1.80247i	0.177793	−	0.149173i
$147$	−1.06895	−	0.488174i	−0.0881657	−	0.0402639i
$148$	12.4489	−	10.1120i	1.02329	−	0.831199i
$149$	−2.09693	+	1.81700i	−0.171787	+	0.148855i	−0.736511	−	0.676425i	$-0.763528\pi$
$149$	−2.09693	+	1.81700i	−0.171787	+	0.148855i	0.564724	+	0.825280i	$0.308983\pi$
$150$	−0.558547	−	1.27640i	−0.0456052	−	0.104217i
$151$	4.19062	−	14.2719i	0.341027	−	1.16143i	−0.593289	−	0.804989i	$-0.702171\pi$
$151$	4.19062	−	14.2719i	0.341027	−	1.16143i	0.934317	−	0.356444i	$-0.116011\pi$
$152$	4.28693	+	17.6804i	0.347716	+	1.43407i
$153$	−3.72599	+	5.79776i	−0.301229	+	0.468721i
$154$	−0.00747233	+	0.469697i	−0.000602138	+	0.0378493i
$155$	−0.398570	+	2.77212i	−0.0320139	+	0.222662i
$156$	−0.704007	−	0.124195i	−0.0563657	−	0.00994354i
$157$	0.0290266	−	0.00417340i	0.00231658	−	0.000333073i	−0.141156	−	0.989987i	$-0.545082\pi$
$157$	0.0290266	−	0.00417340i	0.00231658	−	0.000333073i	0.143473	+	0.989654i	$0.454173\pi$
$158$	−4.59770	−	16.6326i	−0.365774	−	1.32322i
$159$	−1.85315	+	2.13865i	−0.146964	+	0.169606i
$160$	−0.413143	−	6.52194i	−0.0326619	−	0.515605i
$161$	−7.77284	−	0.148921i	−0.612586	−	0.0117366i
$162$	3.50882	−	11.2828i	0.275679	−	0.886462i
$163$	11.8796	+	10.2937i	0.930483	+	0.806268i	0.981309	−	0.192440i	$-0.0616399\pi$
$163$	11.8796	+	10.2937i	0.930483	+	0.806268i	−0.0508260	+	0.998708i	$0.516185\pi$
$164$	−8.95618	−	0.285037i	−0.699360	−	0.0222577i
$165$	−0.00905473	−	0.0629770i	−0.000704910	−	0.00490275i
$166$	18.8498	−	2.40481i	1.46303	−	0.186650i
$167$	13.2873	+	1.91042i	1.02820	+	0.147833i	0.635714	−	0.771925i	$-0.280706\pi$
$167$	13.2873	+	1.91042i	1.02820	+	0.147833i	0.392487	+	0.919758i	$0.371615\pi$
$168$	1.00375	+	0.714953i	0.0774411	+	0.0551598i
$169$	−9.44849	−	6.07218i	−0.726807	−	0.467090i
$170$	−2.86602	−	2.56436i	−0.219813	−	0.196678i
$171$	−18.0688	−	5.30549i	−1.38176	−	0.405721i
$172$	−0.870835	−	7.81420i	−0.0664005	−	0.595827i
$173$	−3.04532	−	3.51448i	−0.231531	−	0.267201i	0.628081	−	0.778148i	$-0.283841\pi$
$173$	−3.04532	−	3.51448i	−0.231531	−	0.267201i	−0.859613	+	0.510946i	$0.829295\pi$
$174$	−1.24583	−	0.828944i	−0.0944465	−	0.0628421i
$175$	2.46832	−	5.40487i	0.186588	−	0.408570i
$176$	−0.167998	+	0.802236i	−0.0126634	+	0.0604708i
$177$	2.57567	−	0.756286i	0.193600	−	0.0568460i
$178$	−2.40219	+	5.04607i	−0.180052	+	0.378219i
$179$	−8.46528	+	3.86596i	−0.632725	+	0.288956i	−0.705844	−	0.708368i	$-0.749432\pi$
$179$	−8.46528	+	3.86596i	−0.632725	+	0.288956i	0.0731192	+	0.997323i	$0.476705\pi$
$180$	6.06072	+	3.00439i	0.451739	+	0.223934i
$181$	−4.58927	−	7.14105i	−0.341118	−	0.530790i	0.627735	−	0.778427i	$-0.283982\pi$
$181$	−4.58927	−	7.14105i	−0.341118	−	0.530790i	−0.968853	+	0.247637i	$0.920346\pi$
$182$	−1.60727	−	2.59066i	−0.119139	−	0.192032i
$183$	2.39737			0.177219
$184$	−13.2676	−	2.82343i	−0.978098	−	0.208146i
$185$	−9.26402			−0.681104
$186$	−0.485800	−	0.783033i	−0.0356206	−	0.0574147i
$187$	0.260777	+	0.405776i	0.0190699	+	0.0296733i
$188$	−20.2734	−	10.0498i	−1.47859	−	0.732959i
$189$	−2.34933	+	1.07290i	−0.170888	+	0.0780421i
$190$	4.51688	−	9.48819i	0.327689	−	0.688346i
$191$	−6.23228	+	1.82996i	−0.450952	+	0.132411i	−0.499319	−	0.866418i	$-0.666416\pi$
$191$	−6.23228	+	1.82996i	−0.450952	+	0.132411i	0.0483671	+	0.998830i	$0.484598\pi$
$192$	1.48344	+	1.55655i	0.107058	+	0.112334i
$193$	−8.34186	+	18.2661i	−0.600460	+	1.31482i	0.328451	+	0.944521i	$0.393473\pi$
$193$	−8.34186	+	18.2661i	−0.600460	+	1.31482i	−0.928911	+	0.370303i	$0.879254\pi$
$194$	15.9148	+	10.5893i	1.14262	+	0.760267i
$195$	0.270410	+	0.312069i	0.0193644	+	0.0223477i
$196$	−0.968505	−	8.69062i	−0.0691789	−	0.620758i
$197$	−4.71945	−	1.38576i	−0.336247	−	0.0987310i	0.109250	−	0.994014i	$-0.465155\pi$
$197$	−4.71945	−	1.38576i	−0.336247	−	0.0987310i	−0.445497	+	0.895283i	$0.646973\pi$
$198$	−0.632276	−	0.565728i	−0.0449339	−	0.0402045i
$199$	−11.4532	−	7.36053i	−0.811896	−	0.521774i	0.0675818	−	0.997714i	$-0.478472\pi$
$199$	−11.4532	−	7.36053i	−0.811896	−	0.521774i	−0.879478	+	0.475940i	$0.842108\pi$
$200$	6.01471	−	8.44429i	0.425304	−	0.597101i
$201$	1.76625	+	0.253948i	0.124581	+	0.0179121i
$202$	18.6116	−	2.37442i	1.30951	−	0.167064i
$203$	−0.908219	−	6.31680i	−0.0637445	−	0.443353i
$204$	1.26474	+	0.0402511i	0.0885492	+	0.00281814i
$205$	3.91167	+	3.38948i	0.273203	+	0.236732i
$206$	−7.06474	+	22.7171i	−0.492224	+	1.58277i
$207$	9.39651	−	10.4334i	0.653102	−	0.725173i
$208$	−1.89764	−	4.96950i	−0.131578	−	0.344573i
$209$	−0.863106	+	0.996078i	−0.0597023	+	0.0689001i
$210$	−0.189655	−	0.686095i	−0.0130874	−	0.0473451i
$211$	23.0373	−	3.31227i	1.58595	−	0.228026i	0.707803	−	0.706410i	$-0.249686\pi$
$211$	23.0373	−	3.31227i	1.58595	−	0.228026i	0.878151	+	0.478384i	$0.158777\pi$
$212$	−20.7369	−	3.65823i	−1.42422	−	0.251248i
$213$	−0.264529	+	1.83984i	−0.0181252	+	0.126064i
$214$	0.361976	−	22.7532i	0.0247442	−	1.55537i
$215$	−2.45536	+	3.82061i	−0.167454	+	0.260564i
$216$	−4.37948	+	1.06188i	−0.297986	+	0.0722519i
$217$	1.10717	−	3.77069i	0.0751599	−	0.255971i
$218$	−2.03135	−	4.64205i	−0.137580	−	0.314400i
$219$	0.402788	−	0.349018i	0.0272179	−	0.0235844i
$220$	0.367482	−	0.298498i	0.0247756	−	0.0201247i
$221$	−2.84756	−	1.30044i	−0.191548	−	0.0874769i
$222$	2.33509	−	1.95921i	0.156721	−	0.131494i
$223$	−0.361906	−	1.23254i	−0.0242350	−	0.0825370i	0.946488	−	0.322740i	$-0.104604\pi$
$223$	−0.361906	−	1.23254i	−0.0242350	−	0.0825370i	−0.970723	+	0.240203i	$0.922786\pi$
$224$	−0.728592	+	9.14103i	−0.0486811	+	0.610761i
$225$	4.45802	+	9.76170i	0.297201	+	0.650780i
$226$	−1.41029	+	8.81135i	−0.0938108	+	0.586123i
$227$	2.88465	−	1.85385i	0.191461	−	0.123044i	−0.441399	−	0.897311i	$-0.645518\pi$
$227$	2.88465	−	1.85385i	0.191461	−	0.123044i	0.632859	+	0.774267i	$0.281881\pi$
$228$	0.868096	+	3.34685i	0.0574911	+	0.221651i
$229$		−	3.55496i		−	0.234919i	−0.993078	−	0.117459i	$-0.962525\pi$
$229$		−	3.55496i		−	0.234919i	0.993078	−	0.117459i	$-0.0374750\pi$
$230$	4.92022	+	6.09769i	0.324430	+	0.402070i
$231$			0.0892790i			0.00587413i
$232$	0.531188	−	11.1223i	0.0348742	−	0.730216i
$233$	4.73399	−	3.04235i	0.310134	−	0.199311i	−0.376310	−	0.926494i	$-0.622807\pi$
$233$	4.73399	−	3.04235i	0.310134	−	0.199311i	0.686444	+	0.727183i	$0.259171\pi$
$234$	5.43710	+	0.870226i	0.355435	+	0.0568884i
$235$	5.42953	+	11.8890i	0.354184	+	0.775554i
$236$	14.6724	+	13.5544i	0.955091	+	0.882319i
$237$	−0.923984	−	3.14680i	−0.0600192	−	0.204407i
$238$	3.46860	+	4.13406i	0.224836	+	0.267971i
$239$	−3.98167	−	1.81837i	−0.257553	−	0.117620i	0.282455	−	0.959281i	$-0.408851\pi$
$239$	−3.98167	−	1.81837i	−0.257553	−	0.117620i	−0.540007	+	0.841660i	$0.681579\pi$
$240$	−0.0982264	−	1.23811i	−0.00634049	−	0.0799199i
$241$	18.1787	−	15.7519i	1.17099	−	1.01467i	0.171425	−	0.985197i	$-0.445163\pi$
$241$	18.1787	−	15.7519i	1.17099	−	1.01467i	0.999566	−	0.0294721i	$-0.00938263\pi$
$242$	14.1972	−	6.21263i	0.912628	−	0.399363i
$243$	1.97928	−	6.74080i	0.126971	−	0.432422i
$244$	9.16230	+	15.3064i	0.586556	+	0.979893i
$245$	−2.73074	+	4.24912i	−0.174461	+	0.271466i
$246$	−1.70280	−	0.0270896i	−0.108567	−	0.00172717i
$247$	1.21734	−	8.46681i	0.0774577	−	0.538730i
$248$	3.14276	−	6.09428i	0.199566	−	0.386987i
$249$	3.57475	−	0.513972i	0.226541	−	0.0325717i
$250$	−13.6454	+	3.77196i	−0.863013	+	0.238559i
$251$	−16.8673	+	19.4659i	−1.06465	+	1.22868i	−0.0921600	+	0.995744i	$0.529377\pi$
$251$	−16.8673	+	19.4659i	−1.06465	+	1.22868i	−0.972493	+	0.232931i	$0.925168\pi$
$252$	−7.81795	−	5.38321i	−0.492485	−	0.339110i
$253$	−0.391035	−	0.901562i	−0.0245842	−	0.0566807i
$254$	−15.6782	−	4.87574i	−0.983739	−	0.305931i
$255$	−0.552381	−	0.478641i	−0.0345914	−	0.0299737i
$256$	−4.26862	+	15.4201i	−0.266789	+	0.963755i
$257$	−2.95189	−	20.5309i	−0.184134	−	1.28068i	−0.846859	−	0.531817i	$-0.821509\pi$
$257$	−2.95189	−	20.5309i	−0.184134	−	1.28068i	0.662725	−	0.748863i	$-0.269400\pi$
$258$	−0.189108	−	1.48230i	−0.0117734	−	0.0922839i
$259$	12.8671	+	1.85001i	0.799522	+	0.114954i
$260$	−0.959004	+	2.91915i	−0.0594749	+	0.181038i
$261$	9.69632	+	6.23145i	0.600187	+	0.385717i
$262$	−11.4069	+	12.7487i	−0.704719	+	0.787617i
$263$	−7.33991	−	2.15519i	−0.452598	−	0.132895i	0.0474856	−	0.998872i	$-0.484879\pi$
$263$	−7.33991	−	2.15519i	−0.452598	−	0.132895i	−0.500084	+	0.865977i	$0.666697\pi$
$264$	−0.0294994	+	0.152957i	−0.00181557	+	0.00941384i
$265$	7.96507	+	9.19218i	0.489291	+	0.564671i
$266$	−8.16841	+	12.2764i	−0.500837	+	0.752717i
$267$	−0.441234	+	0.966167i	−0.0270031	+	0.0591284i
$268$	5.12889	+	12.2474i	0.313297	+	0.748132i
$269$	21.9450	−	6.44364i	1.33801	−	0.392876i	0.467052	−	0.884230i	$-0.345316\pi$
$269$	21.9450	−	6.44364i	1.33801	−	0.392876i	0.870960	+	0.491354i	$0.163498\pi$
$270$	2.35024	+	1.11884i	0.143031	+	0.0680903i
$271$	−21.6248	+	9.87572i	−1.31361	+	0.599907i	−0.944205	−	0.329359i	$-0.893167\pi$
$271$	−21.6248	+	9.87572i	−1.31361	+	0.599907i	−0.369409	+	0.929267i	$0.620440\pi$
$272$	4.57659	+	8.22875i	0.277497	+	0.498941i
$273$	−0.313261	−	0.487443i	−0.0189594	−	0.0295014i
$274$	−9.32829	+	5.78736i	−0.563543	+	0.349627i
$275$	0.751080			0.0452919
$276$	−2.52977	−	0.496426i	−0.152274	−	0.0298813i
$277$	17.6019			1.05760			0.528798	−	0.848748i	$-0.322643\pi$
$277$	17.6019			1.05760			0.528798	+	0.848748i	$0.322643\pi$
$278$	−11.4581	+	7.10873i	−0.687213	+	0.426353i
$279$	3.83732	+	5.97098i	0.229734	+	0.357473i
$280$	3.65567	−	3.83301i	0.218468	−	0.229066i
$281$	−1.12985	+	0.515984i	−0.0674010	+	0.0307810i	−0.448830	−	0.893617i	$-0.648159\pi$
$281$	−1.12985	+	0.515984i	−0.0674010	+	0.0307810i	0.381429	+	0.924398i	$0.375432\pi$
$282$	−3.88293	−	1.84848i	−0.231225	−	0.110075i
$283$	−22.1054	+	6.49072i	−1.31403	+	0.385834i	−0.862334	−	0.506339i	$-0.830998\pi$
$283$	−22.1054	+	6.49072i	−1.31403	+	0.385834i	−0.451694	+	0.892173i	$0.649180\pi$
$284$	−12.7577	+	5.34259i	−0.757033	+	0.317024i
$285$	0.829657	−	1.81670i	0.0491446	−	0.107612i
$286$	0.213482	−	0.320845i	0.0126234	−	0.0189720i
$287$	−4.75617	−	5.48891i	−0.280748	−	0.324000i
$288$	−11.6153	−	11.8059i	−0.684441	−	0.695672i
$289$	−10.9947	−	3.22835i	−0.646749	−	0.189903i
$290$	−4.28871	+	4.79320i	−0.251842	+	0.281467i
$291$	3.05630	+	1.96417i	0.179164	+	0.115142i
$292$	3.76774	+	1.23779i	0.220490	+	0.0724360i
$293$	−0.372746	−	0.0535928i	−0.0217761	−	0.00313093i	0.131418	−	0.991327i	$-0.458047\pi$
$293$	−0.372746	−	0.0535928i	−0.0217761	−	0.00313093i	−0.153194	+	0.988196i	$0.548956\pi$
$294$	−0.210318	−	1.64855i	−0.0122660	−	0.0961453i
$295$	−1.64202	−	11.4205i	−0.0956022	−	0.664928i
$296$	21.4332	+	7.42104i	1.24578	+	0.431339i
$297$	−0.246730	−	0.213793i	−0.0143167	−	0.0124055i
$298$	−3.74693	−	1.16525i	−0.217054	−	0.0675011i
$299$	5.29835	+	3.55027i	0.306411	+	0.205317i
$300$	1.11745	−	1.62285i	0.0645158	−	0.0936953i
$301$	4.17330	−	4.81624i	0.240545	−	0.277603i
$302$	20.2753	−	5.60462i	1.16671	−	0.322510i
$303$	3.52958	−	0.507477i	0.202769	−	0.0291538i
$304$	−18.0508	+	18.3335i	−1.03529	+	1.05150i
$305$	1.46644	−	10.1993i	0.0839682	−	0.584012i
$306$	−9.74525	−	0.155036i	−0.557099	−	0.00886280i
$307$	2.07441	−	3.22785i	0.118393	−	0.184223i	−0.776999	−	0.629502i	$-0.783259\pi$
$307$	2.07441	−	3.22785i	0.118393	−	0.184223i	0.895392	+	0.445279i	$0.146895\pi$
$308$	−0.570017	+	0.341208i	−0.0324797	+	0.0194421i
$309$	−1.27383	+	4.33828i	−0.0724659	+	0.246796i
$310$	−3.62848	+	1.58781i	−0.206084	+	0.0901815i
$311$	19.5925	−	16.9770i	1.11099	−	0.962677i	0.111472	−	0.993768i	$-0.464443\pi$
$311$	19.5925	−	16.9770i	1.11099	−	0.962677i	0.999517	+	0.0310904i	$0.00989797\pi$
$312$	−0.375632	−	0.938616i	−0.0212660	−	0.0531387i
$313$	18.0146	+	8.22698i	1.01824	+	0.465016i	0.853374	−	0.521299i	$-0.174552\pi$
$313$	18.0146	+	8.22698i	1.01824	+	0.465016i	0.164869	+	0.986315i	$0.447280\pi$
$314$	0.0266564	+	0.0317705i	0.00150431	+	0.00179291i
$315$	1.54468	+	5.26071i	0.0870330	+	0.296407i
$316$	16.5600	−	17.9258i	0.931572	−	1.00841i
$317$	−7.63272	−	16.7133i	−0.428696	−	0.938714i	−0.993536	−	0.113513i	$-0.963790\pi$
$317$	−7.63272	−	16.7133i	−0.428696	−	0.938714i	0.564840	−	0.825200i	$-0.308938\pi$
$318$	−3.95170	−	0.632482i	−0.221600	−	0.0354678i
$319$	0.678631	−	0.436130i	0.0379961	−	0.0244186i
$320$	7.52955	−	5.35898i	0.420914	−	0.299576i
$321$		−	4.32487i		−	0.241391i
$322$	−5.61616	−	9.45184i	−0.312976	−	0.526730i
$323$			15.1409i			0.842461i
$324$	16.1749	−	4.19539i	0.898603	−	0.233077i
$325$	−4.10073	+	2.63538i	−0.227468	+	0.146185i
$326$	−3.51327	+	21.9506i	−0.194582	+	1.21573i
$327$	−0.400050	−	0.875988i	−0.0221228	−	0.0484422i
$328$	−6.33484	−	10.9754i	−0.349783	−	0.606013i
$329$	−5.16703	−	17.5973i	−0.284868	−	0.970170i
$330$	0.0689301	−	0.0578345i	0.00379448	−	0.00318368i
$331$	−7.01317	−	3.20281i	−0.385479	−	0.176042i	0.213243	−	0.976999i	$-0.431597\pi$
$331$	−7.01317	−	3.20281i	−0.385479	−	0.176042i	−0.598722	+	0.800957i	$0.704325\pi$
$332$	16.9436	+	20.8593i	0.929900	+	1.14480i
$333$	−17.7436	+	15.3749i	−0.972342	+	0.842539i
$334$	7.61067	+	17.3920i	0.416437	+	0.951647i
$335$	2.16078	−	7.35895i	0.118056	−	0.402063i
$336$	−0.110819	+	1.73927i	−0.00604570	+	0.0948851i
$337$	−14.6047	+	22.7254i	−0.795570	+	1.23793i	0.171943	+	0.985107i	$0.444996\pi$
$337$	−14.6047	+	22.7254i	−0.795570	+	1.23793i	−0.967512	+	0.252824i	$0.918641\pi$
$338$	0.252659	−	15.8816i	0.0137428	−	0.863848i
$339$	−0.241358	+	1.67868i	−0.0131088	+	0.0911736i
$340$	0.944867	−	5.35605i	0.0512426	−	0.290472i
$341$	0.491702	−	0.0706961i	0.0266272	−	0.00382841i
$342$	−7.09568	−	25.6693i	−0.383690	−	1.38804i
$343$	12.0723	−	13.9322i	0.651842	−	0.752266i
$344$	8.74125	−	6.87246i	0.471297	−	0.370538i
$345$	0.953424	+	1.14387i	0.0513306	+	0.0615838i
$346$	1.95297	−	6.27989i	0.104992	−	0.337609i
$347$	−0.478592	−	0.414703i	−0.0256922	−	0.0222624i	0.641920	−	0.766772i	$-0.278138\pi$
$347$	−0.478592	−	0.414703i	−0.0256922	−	0.0222624i	−0.667612	+	0.744509i	$0.732684\pi$
$348$	0.0673171	−	2.11518i	0.00360857	−	0.113385i
$349$	1.89850	+	13.2043i	0.101624	+	0.706812i	0.975394	+	0.220471i	$0.0707595\pi$
$349$	1.89850	+	13.2043i	0.101624	+	0.706812i	−0.873769	+	0.486341i	$0.838331\pi$
$350$	8.33545	−	1.06342i	0.445549	−	0.0568420i
$351$	2.09724	+	0.301538i	0.111943	+	0.0160949i
$352$	−1.08932	+	0.396228i	−0.0580609	+	0.0211190i
$353$	3.66696	+	2.35661i	0.195173	+	0.125430i	0.634577	−	0.772859i	$-0.281174\pi$
$353$	3.66696	+	2.35661i	0.195173	+	0.125430i	−0.439405	+	0.898289i	$0.644811\pi$
$354$	2.82917	+	2.53139i	0.150369	+	0.134542i
$355$	7.66557	+	2.25081i	0.406846	+	0.119461i
$356$	−7.85497	+	0.875378i	−0.416312	+	0.0463949i
$357$	0.671636	+	0.775109i	0.0355467	+	0.0410231i
$358$	−10.9572	−	7.29062i	−0.579106	−	0.385321i
$359$	7.45068	−	16.3147i	0.393232	−	0.861057i	−0.604680	−	0.796468i	$-0.706699\pi$
$359$	7.45068	−	16.3147i	0.393232	−	0.861057i	0.997912	−	0.0645889i	$-0.0205736\pi$
$360$	0.908183	+	9.52326i	0.0478655	+	0.501920i
$361$	−21.4658	+	6.30292i	−1.12978	+	0.331733i
$362$	5.15999	−	10.8391i	0.271203	−	0.569691i
$363$	2.67910	−	1.22351i	0.140616	−	0.0642174i
$364$	1.91494	−	3.86298i	0.100370	−	0.202475i
$365$	−1.23847	−	1.92710i	−0.0648247	−	0.100869i
$366$	1.78738	+	2.88098i	0.0934281	+	0.150591i
$367$	−14.4624			−0.754929			−0.377464	−	0.926024i	$-0.623204\pi$
$367$	−14.4624			−0.754929			−0.377464	+	0.926024i	$0.623204\pi$
$368$	−6.49879	−	18.0490i	−0.338773	−	0.940868i
$369$	13.1174			0.682865
$370$	−6.90689	−	11.1328i	−0.359072	−	0.578766i
$371$	−9.22728	−	14.3579i	−0.479057	−	0.745427i
$372$	0.578795	−	1.16760i	0.0300091	−	0.0605370i
$373$	−12.8710	+	5.87798i	−0.666434	+	0.304350i	−0.719756	−	0.694227i	$-0.755746\pi$
$373$	−12.8710	+	5.87798i	−0.666434	+	0.304350i	0.0533222	+	0.998577i	$0.483019\pi$
$374$	−0.293206	+	0.615912i	−0.0151613	+	0.0318481i
$375$	−2.58164	+	0.758037i	−0.133315	+	0.0391448i
$376$	−3.03791	−	31.8557i	−0.156668	−	1.64283i
$377$	−2.17489	+	4.76234i	−0.112012	+	0.245273i
$378$	−3.04090	−	2.02333i	−0.156407	−	0.104069i
$379$	17.3667	+	20.0422i	0.892067	+	1.02950i	0.999378	+	0.0352743i	$0.0112305\pi$
$379$	17.3667	+	20.0422i	0.892067	+	1.02950i	−0.107311	+	0.994226i	$0.534224\pi$
$380$	14.7698	−	1.64598i	0.757674	−	0.0844372i
$381$	−2.99407	−	0.879138i	−0.153391	−	0.0450396i
$382$	−6.84565	−	6.12513i	−0.350254	−	0.313389i
$383$	2.74893	+	1.76663i	0.140464	+	0.0902707i	0.608985	−	0.793181i	$-0.291577\pi$
$383$	2.74893	+	1.76663i	0.140464	+	0.0902707i	−0.468521	+	0.883452i	$0.655213\pi$
$384$	−0.764548	+	2.94318i	−0.0390157	+	0.150194i
$385$	0.379827	+	0.0546109i	0.0193578	+	0.00278323i
$386$	−28.1702	+	3.59389i	−1.43382	+	0.182924i
$387$	1.63802	+	11.3927i	0.0832654	+	0.579124i
$388$	−0.859937	+	27.0202i	−0.0436567	+	1.37174i
$389$	−14.4042	−	12.4813i	−0.730323	−	0.632829i	0.208183	−	0.978090i	$-0.433245\pi$
$389$	−14.4042	−	12.4813i	−0.730323	−	0.632829i	−0.938507	+	0.345261i	$0.887790\pi$
$390$	−0.173414	+	0.557624i	−0.00878118	+	0.0282364i
$391$	−10.1773	−	4.88553i	−0.514686	−	0.247072i
$392$	9.72164	−	7.64325i	0.491017	−	0.386043i
$393$	−2.12910	+	2.45712i	−0.107399	+	0.123945i
$394$	−1.85334	−	6.70464i	−0.0933699	−	0.337775i
$395$	−13.9529	+	2.00612i	−0.702046	+	0.100939i
$396$	0.208449	−	1.18161i	0.0104749	−	0.0593779i
$397$	−1.04528	+	7.27011i	−0.0524613	+	0.364876i	0.946633	+	0.322315i	$0.104461\pi$
$397$	−1.04528	+	7.27011i	−0.0524613	+	0.364876i	−0.999094	+	0.0425616i	$0.986448\pi$
$398$	0.306266	−	19.2513i	0.0153517	−	0.964980i
$399$	−1.51513	+	2.35759i	−0.0758513	+	0.118027i
$400$	14.6320	+	0.932294i	0.731602	+	0.0466147i
$401$	−0.131920	+	0.449277i	−0.00658776	+	0.0224358i	−0.962721	−	0.270495i	$-0.912813\pi$
$401$	−0.131920	+	0.449277i	−0.00658776	+	0.0224358i	0.956134	+	0.292931i	$0.0946307\pi$
$402$	1.01167	+	2.31187i	0.0504574	+	0.115306i
$403$	−2.43653	+	2.11126i	−0.121372	+	0.105169i
$404$	16.7295	+	20.5957i	0.832322	+	1.02468i
$405$	−8.77983	−	4.00961i	−0.436273	−	0.199239i
$406$	6.91392	−	5.80098i	0.343132	−	0.287898i
$407$	0.462943	+	1.57664i	0.0229472	+	0.0781510i
$408$	0.894566	+	1.54987i	0.0442876	+	0.0767301i
$409$	−9.08769	−	19.8993i	−0.449357	−	0.983955i	−0.989785	−	0.142565i	$-0.954465\pi$
$409$	−9.08769	−	19.8993i	−0.449357	−	0.983955i	0.540428	−	0.841390i	$-0.318262\pi$
$410$	−1.15683	+	7.22781i	−0.0571320	+	0.356956i
$411$	−1.75516	+	1.12797i	−0.0865756	+	0.0556387i
$412$	−32.5668	+	8.44709i	−1.60445	+	0.416158i
$413$			16.1902i			0.796669i
$414$	19.5438	+	3.51326i	0.960523	+	0.172667i
$415$		−	15.5228i		−	0.761982i
$416$	4.55716	−	5.98550i	0.223433	−	0.293463i
$417$	−2.15590	+	1.38551i	−0.105575	+	0.0678487i
$418$	−1.84051	−	0.294579i	−0.0900222	−	0.0144083i
$419$	8.97302	+	19.6482i	0.438361	+	0.959876i	0.991896	+	0.127050i	$0.0405510\pi$
$419$	8.97302	+	19.6482i	0.438361	+	0.959876i	−0.553536	+	0.832825i	$0.686722\pi$
$420$	0.683098	−	0.739438i	0.0333318	−	0.0360809i
$421$	2.70638	+	9.21709i	0.131901	+	0.449213i	0.998784	−	0.0492980i	$-0.0156984\pi$
$421$	2.70638	+	9.21709i	0.131901	+	0.449213i	−0.866883	+	0.498511i	$0.833880\pi$
$422$	21.1561	+	25.2150i	1.02986	+	1.22745i
$423$	30.1307	+	13.7602i	1.46501	+	0.669046i
$424$	−11.0645	−	27.6475i	−0.537337	−	1.34268i
$425$	6.52079	−	5.65029i	0.316305	−	0.274080i
$426$	−2.40820	+	1.05382i	−0.116678	+	0.0510577i
$427$	−4.07358	+	13.8733i	−0.197134	+	0.671377i
$428$	27.6129	−	16.5289i	1.33472	−	0.798953i
$429$	0.0395979	−	0.0616156i	0.00191181	−	0.00297483i
$430$	−6.42194	−	0.102166i	−0.309693	−	0.00492686i
$431$	−1.23032	+	8.55707i	−0.0592625	+	0.412179i	0.938498	+	0.345286i	$0.112218\pi$
$431$	−1.23032	+	8.55707i	−0.0592625	+	0.412179i	−0.997760	+	0.0668938i	$0.978691\pi$
$432$	−4.54125	−	4.47123i	−0.218491	−	0.215122i
$433$	−28.6656	+	4.12150i	−1.37758	+	0.198067i	−0.790997	−	0.611820i	$-0.790438\pi$
$433$	−28.6656	+	4.12150i	−1.37758	+	0.198067i	−0.586586	+	0.809887i	$0.699528\pi$
$434$	5.35679	−	1.48076i	0.257134	−	0.0710787i
$435$	−0.800492	+	0.923817i	−0.0383807	+	0.0442936i
$436$	4.06397	−	5.90205i	0.194629	−	0.282657i
$437$	4.97411	−	30.4436i	0.237944	−	1.45632i
$438$	0.719725	+	0.223826i	0.0343898	+	0.0106948i
$439$	−5.12186	−	4.43811i	−0.244453	−	0.211820i	0.524013	−	0.851710i	$-0.324434\pi$
$439$	−5.12186	−	4.43811i	−0.244453	−	0.211820i	−0.768466	+	0.639891i	$0.778980\pi$
$440$	0.632692	+	0.219064i	0.0301624	+	0.0104434i
$441$	1.82174	+	12.6705i	0.0867495	+	0.603356i
$442$	−0.560262	−	4.39154i	−0.0266490	−	0.208884i
$443$	−20.9337	−	3.00981i	−0.994589	−	0.143000i	−0.374245	−	0.927330i	$-0.622098\pi$
$443$	−20.9337	−	3.00981i	−0.994589	−	0.143000i	−0.620344	+	0.784330i	$0.713007\pi$
$444$	4.09538	+	1.34542i	0.194358	+	0.0638510i
$445$	3.84055	+	2.46817i	0.182059	+	0.117002i
$446$	1.21135	−	1.35384i	0.0573591	−	0.0641064i
$447$	−0.715551	−	0.210105i	−0.0338444	−	0.00993761i
$448$	−11.5282	+	5.93963i	−0.544657	+	0.280621i
$449$	21.0008	+	24.2363i	0.991091	+	1.14378i	0.989610	+	0.143781i	$0.0459260\pi$
$449$	21.0008	+	24.2363i	0.991091	+	1.14378i	0.00148122	+	0.999999i	$0.499529\pi$
$450$	−8.40714	+	12.6352i	−0.396317	+	0.595631i
$451$	0.381379	−	0.835104i	0.0179584	−	0.0393235i
$452$	−11.6403	+	4.87462i	−0.547512	+	0.229283i
$453$	3.83596	−	1.12634i	0.180229	−	0.0529201i
$454$	4.37849	+	2.08439i	0.205493	+	0.0978253i
$455$	−2.26539	+	1.03457i	−0.106203	+	0.0485013i
$456$	−3.37477	+	3.53849i	−0.158038	+	0.165705i
$457$	16.0846	+	25.0281i	0.752404	+	1.17076i	0.980384	+	0.197098i	$0.0631516\pi$
$457$	16.0846	+	25.0281i	0.752404	+	1.17076i	−0.227980	+	0.973666i	$0.573212\pi$
$458$	4.27209	−	2.65044i	0.199621	−	0.123847i
$459$	−3.75042			−0.175055
$460$	−3.65941	+	10.4589i	−0.170621	+	0.487651i
$461$	−13.2622			−0.617683			−0.308841	−	0.951114i	$-0.599941\pi$
$461$	−13.2622			−0.617683			−0.308841	+	0.951114i	$0.599941\pi$
$462$	−0.107289	+	0.0665629i	−0.00499152	+	0.00309679i
$463$	−10.3180	−	16.0551i	−0.479518	−	0.746144i	0.514247	−	0.857642i	$-0.328071\pi$
$463$	−10.3180	−	16.0551i	−0.479518	−	0.746144i	−0.993765	+	0.111498i	$0.964435\pi$
$464$	13.7620	−	7.65401i	0.638884	−	0.355329i
$465$	−0.684719	+	0.312701i	−0.0317531	+	0.0145011i
$466$	7.18555	+	3.42069i	0.332864	+	0.158461i
$467$	11.1115	−	3.26262i	0.514178	−	0.150976i	−0.0143420	−	0.999897i	$-0.504565\pi$
$467$	11.1115	−	3.26262i	0.514178	−	0.150976i	0.528520	+	0.848921i	$0.322747\pi$
$468$	3.00792	+	7.18270i	0.139041	+	0.332020i
$469$	−4.47075	+	9.78958i	−0.206440	+	0.452041i
$470$	−10.2393	+	15.3888i	−0.472302	+	0.709831i
$471$	0.00516155	+	0.00595675i	0.000237832	+	0.000274473i
$472$	−5.34955	+	27.7378i	−0.246233	+	1.27674i
$473$	0.772927	+	0.226952i	0.0355392	+	0.0104353i
$474$	3.09270	−	3.45650i	0.142052	−	0.158762i
$475$	19.8337	+	12.7464i	0.910034	+	0.584843i
$476$	−2.38195	+	7.25050i	−0.109176	+	0.332326i
$477$	30.5114	+	4.38687i	1.39702	+	0.200861i
$478$	−0.783399	−	6.14057i	−0.0358318	−	0.280863i
$479$	2.25177	+	15.6614i	0.102886	+	0.715587i	0.974335	+	0.225101i	$0.0722714\pi$
$479$	2.25177	+	15.6614i	0.102886	+	0.715587i	−0.871449	+	0.490485i	$0.836820\pi$
$480$	1.41464	−	1.04113i	0.0645691	−	0.0475209i
$481$	−8.05964	−	6.98372i	−0.367488	−	0.318430i
$482$	32.4827	+	10.1017i	1.47955	+	0.460122i
$483$	−1.09581	−	1.77915i	−0.0498612	−	0.0809542i
$484$	18.0507	+	12.4292i	0.820486	+	0.564962i
$485$	10.2258	−	11.8012i	0.464331	−	0.535866i
$486$	9.57625	−	2.64713i	0.434387	−	0.120076i
$487$	−8.65677	+	1.24466i	−0.392276	+	0.0564007i	−0.335631	−	0.941994i	$-0.608949\pi$
$487$	−8.65677	+	1.24466i	−0.392276	+	0.0564007i	−0.0566449	+	0.998394i	$0.518040\pi$
$488$	−11.5630	+	22.4224i	−0.523434	+	1.01501i
$489$	−0.601265	+	4.18189i	−0.0271902	+	0.189112i
$490$	−7.14220	−	0.113624i	−0.322652	−	0.00513302i
$491$	7.38899	−	11.4975i	0.333460	−	0.518874i	−0.633520	−	0.773727i	$-0.718390\pi$
$491$	7.38899	−	11.4975i	0.333460	−	0.518874i	0.966980	+	0.254852i	$0.0820268\pi$
$492$	−1.23699	−	2.06650i	−0.0557678	−	0.0931649i
$493$	2.61084	−	8.89169i	0.117586	−	0.400462i
$494$	11.0824	−	4.84961i	0.498619	−	0.218194i
$495$	−0.523777	+	0.453856i	−0.0235420	+	0.0203993i
$496$	9.66676	−	0.766917i	0.434050	−	0.0344356i
$497$	−10.1975	−	4.65703i	−0.457419	−	0.208896i
$498$	3.28285	+	3.91267i	0.147108	+	0.175331i
$499$	−0.943178	−	3.21217i	−0.0422224	−	0.143796i	0.935684	−	0.352839i	$-0.114784\pi$
$499$	−0.943178	−	3.21217i	−0.0422224	−	0.143796i	−0.977907	+	0.209042i	$0.932965\pi$
$500$	−14.7063	−	13.5858i	−0.657687	−	0.607576i
$501$	1.49883	+	3.28199i	0.0669629	+	0.146628i
$502$	−35.9682	−	5.75682i	−1.60534	−	0.256940i
$503$	−13.4587	+	8.64939i	−0.600094	+	0.385657i	−0.805131	−	0.593097i	$-0.797905\pi$
$503$	−13.4587	+	8.64939i	−0.600094	+	0.385657i	0.205037	+	0.978754i	$0.434269\pi$
$504$	0.640375	−	13.4085i	0.0285245	−	0.597263i
$505$		−	15.3266i		−	0.682025i
$506$	0.791888	−	1.14208i	0.0352037	−	0.0507718i
$507$		−	3.01875i		−	0.134067i
$508$	−5.82977	−	22.4761i	−0.258654	−	0.997214i
$509$	19.7346	−	12.6827i	0.874721	−	0.562149i	−0.0244726	−	0.999701i	$-0.507791\pi$
$509$	19.7346	−	12.6827i	0.874721	−	0.562149i	0.899193	+	0.437552i	$0.144154\pi$
$510$	0.163361	−	1.02067i	0.00723374	−	0.0451958i
$511$	1.33532	+	2.92394i	0.0590709	+	0.129347i
$512$	−21.7132	+	6.36689i	−0.959597	+	0.281380i
$513$	−2.88717	−	9.83280i	−0.127472	−	0.434129i
$514$	22.4716	−	18.8544i	0.991180	−	0.831630i
$515$	17.6775	+	8.07305i	0.778964	+	0.355741i
$516$	1.64032	−	1.33240i	0.0722111	−	0.0586556i
$517$	1.75206	−	1.51817i	0.0770555	−	0.0667689i
$518$	7.36999	+	16.8420i	0.323819	+	0.739994i
$519$	0.352138	−	1.19927i	0.0154571	−	0.0526422i
$520$	−4.22300	+	1.02394i	−0.185191	+	0.0449028i
$521$	20.3209	−	31.6199i	0.890273	−	1.38529i	−0.0323036	−	0.999478i	$-0.510284\pi$
$521$	20.3209	−	31.6199i	0.890273	−	1.38529i	0.922577	−	0.385814i	$-0.126079\pi$
$522$	−0.259286	+	16.2982i	−0.0113486	+	0.713354i
$523$	4.22295	−	29.3712i	0.184657	−	1.28431i	−0.660918	−	0.750458i	$-0.729833\pi$
$523$	4.22295	−	29.3712i	0.184657	−	1.28431i	0.845575	−	0.533857i	$-0.179258\pi$
$524$	−23.8249	−	4.20298i	−1.04080	−	0.183608i
$525$	1.58077	−	0.227280i	0.0689904	−	0.00991933i
$526$	−2.88240	−	10.4274i	−0.125679	−	0.454655i
$527$	3.73706	−	4.31280i	0.162789	−	0.187868i
$528$	−0.205805	+	0.0785883i	−0.00895653	+	0.00342012i
$529$	18.8583	+	13.1668i	0.819927	+	0.572468i
$530$	−5.10802	+	16.4251i	−0.221878	+	0.713463i
$531$	−22.0989	−	19.1488i	−0.959011	−	0.830987i
$532$	−20.8429	−	0.663342i	−0.903656	−	0.0287595i
$533$	0.847955	+	5.89766i	0.0367290	+	0.255456i
$534$	−1.49003	+	0.190095i	−0.0644800	+	0.00822620i
$535$	−18.3997	−	2.64547i	−0.795487	−	0.114374i
$536$	−10.8941	+	15.2947i	−0.470555	+	0.660631i
$537$	−2.10423	−	1.35231i	−0.0908044	−	0.0583565i
$538$	24.1048	+	21.5677i	1.03923	+	0.929851i
$539$	0.859616	+	0.252406i	0.0370263	+	0.0108719i
$540$	0.407713	+	3.65850i	0.0175452	+	0.157437i
$541$	−9.00305	−	10.3901i	−0.387071	−	0.446704i	0.528456	−	0.848961i	$-0.322771\pi$
$541$	−9.00305	−	10.3901i	−0.387071	−	0.446704i	−0.915527	+	0.402257i	$0.868226\pi$
$542$	−27.9905	−	18.6241i	−1.20229	−	0.799974i
$543$	0.947783	−	2.07536i	0.0406733	−	0.0890620i
$544$	−6.47656	+	11.6348i	−0.277680	+	0.498839i
$545$	−3.97149	+	1.16614i	−0.170120	+	0.0499518i
$546$	0.352217	−	0.739871i	0.0150735	−	0.0316636i
$547$	0.577957	−	0.263944i	0.0247117	−	0.0112854i	−0.403021	−	0.915191i	$-0.632040\pi$
$547$	0.577957	−	0.263944i	0.0247117	−	0.0112854i	0.427733	+	0.903905i	$0.359313\pi$
$548$	−13.9096	−	6.89521i	−0.594189	−	0.294549i
$549$	−14.1185	−	21.9688i	−0.602561	−	0.937604i
$550$	0.559976	+	0.902591i	0.0238774	+	0.0384866i
$551$	25.3220			1.07875
$552$	−1.28953	−	3.41020i	−0.0548860	−	0.145148i
$553$	19.7802			0.841140
$554$	13.1233	+	21.1526i	0.557555	+	0.898689i
$555$	−1.34617	−	2.09468i	−0.0571418	−	0.0889143i
$556$	−17.0855	−	8.46952i	−0.724585	−	0.359188i
$557$	−26.7458	+	12.2144i	−1.13326	+	0.517541i	−0.891601	−	0.452822i	$-0.850417\pi$
$557$	−26.7458	+	12.2144i	−1.13326	+	0.517541i	−0.241655	+	0.970362i	$0.577690\pi$
$558$	−4.31452	+	9.06312i	−0.182648	+	0.383672i
$559$	−5.01633	+	1.47293i	−0.212168	+	0.0622982i
$560$	7.33174	+	1.53536i	0.309823	+	0.0648808i
$561$	−0.0538560	+	0.117928i	−0.00227380	+	0.00497893i
$562$	−1.46244	−	0.973067i	−0.0616893	−	0.0410464i
$563$	−21.0765	−	24.3235i	−0.888267	−	1.02512i	−0.999509	−	0.0313218i	$-0.990028\pi$
$563$	−21.0765	−	24.3235i	−0.888267	−	1.02512i	0.111242	−	0.993793i	$-0.464517\pi$
$564$	−0.673599	−	6.04436i	−0.0283636	−	0.254513i
$565$	6.99413	+	2.05366i	0.294245	+	0.0863982i
$566$	−24.2809	−	21.7253i	−1.02060	−	0.913184i
$567$	11.3939	+	7.32240i	0.478498	+	0.307512i
$568$	−15.9320	−	11.3481i	−0.668491	−	0.476154i
$569$	−3.80705	−	0.547371i	−0.159600	−	0.0229470i	0.0620516	−	0.998073i	$-0.480236\pi$
$569$	−3.80705	−	0.547371i	−0.159600	−	0.0229470i	−0.221652	+	0.975126i	$0.571145\pi$
$570$	2.80173	−	0.357438i	0.117351	−	0.0149714i
$571$	1.06879	+	7.43357i	0.0447273	+	0.311085i	0.999888	+	0.0149960i	$0.00477355\pi$
$571$	1.06879	+	7.43357i	0.0447273	+	0.311085i	−0.955160	+	0.296089i	$0.904317\pi$
$572$	0.544731	+	0.0173365i	0.0227763	+	0.000724874i
$573$	−1.31940	−	1.14326i	−0.0551185	−	0.0477605i
$574$	3.05014	−	9.80792i	0.127311	−	0.409374i
$575$	−14.9675	+	9.21878i	−0.624189	+	0.384450i
$576$	5.52754	−	22.7605i	0.230314	−	0.948354i
$577$	9.82077	−	11.3338i	0.408844	−	0.471831i	−0.513562	−	0.858052i	$-0.671674\pi$
$577$	9.82077	−	11.3338i	0.408844	−	0.471831i	0.922406	+	0.386221i	$0.126220\pi$
$578$	−4.31766	−	15.6196i	−0.179591	−	0.649688i
$579$	−5.34231	+	0.768109i	−0.222019	+	0.0319215i
$580$	−8.95760	−	1.58022i	−0.371944	−	0.0656151i
$581$	−3.09987	+	21.5601i	−0.128604	+	0.894462i
$582$	−0.0817275	+	5.13724i	−0.00338771	+	0.212945i
$583$	1.16638	−	1.81492i	0.0483066	−	0.0751665i
$584$	1.32160	+	5.45063i	0.0546882	+	0.225549i
$585$	1.26722	−	4.31577i	0.0523933	−	0.178435i
$586$	−0.213501	−	0.487895i	−0.00881965	−	0.0201548i
$587$	6.77315	−	5.86897i	0.279558	−	0.242238i	−0.503784	−	0.863830i	$-0.668059\pi$
$587$	6.77315	−	5.86897i	0.279558	−	0.242238i	0.783341	+	0.621592i	$0.213514\pi$
$588$	1.82430	−	1.48184i	0.0752327	−	0.0611099i
$589$	14.1841	+	6.47767i	0.584446	+	0.266908i
$590$	12.5001	−	10.4879i	0.514620	−	0.431782i
$591$	−0.372459	−	1.26848i	−0.0153209	−	0.0521782i
$592$	7.06169	+	31.2896i	0.290234	+	1.28599i
$593$	−9.54965	−	20.9108i	−0.392157	−	0.858704i	−0.998006	−	0.0631243i	$-0.979894\pi$
$593$	−9.54965	−	20.9108i	−0.392157	−	0.858704i	0.605849	−	0.795580i	$-0.292834\pi$
$594$	0.0729678	−	0.455897i	0.00299390	−	0.0187057i
$595$	3.70844	−	2.38327i	0.152031	−	0.0977046i
$596$	−1.39325	−	5.37153i	−0.0570698	−	0.220027i
$597$		−	3.65925i		−	0.149763i
$598$	−0.316202	+	9.01409i	−0.0129305	+	0.368613i
$599$			6.39421i			0.261260i	0.991431	+	0.130630i	$0.0417000\pi$
$599$			6.39421i			0.261260i	−0.991431	+	0.130630i	$0.958300\pi$
$600$	2.78334	+	0.132929i	0.113629	+	0.00542680i
$601$	−3.18481	+	2.04676i	−0.129911	+	0.0834889i	−0.603982	−	0.796998i	$-0.706420\pi$
$601$	−3.18481	+	2.04676i	−0.129911	+	0.0834889i	0.474071	+	0.880487i	$0.342784\pi$
$602$	8.89923	+	1.42435i	0.362706	+	0.0580522i
$603$	−8.07459	−	17.6809i	−0.328823	−	0.720021i
$604$	21.8516	+	20.1867i	0.889131	+	0.821385i
$605$	−3.56648	−	12.1463i	−0.144998	−	0.493818i
$606$	3.24136	+	3.86323i	0.131671	+	0.156933i
$607$	−18.7684	−	8.57124i	−0.761786	−	0.347896i	−0.00365049	−	0.999993i	$-0.501162\pi$
$607$	−18.7684	−	8.57124i	−0.761786	−	0.347896i	−0.758135	+	0.652098i	$0.773889\pi$
$608$	−35.4898	−	8.02336i	−1.43930	−	0.325390i
$609$	1.29631	−	1.12326i	0.0525293	−	0.0455169i
$610$	13.3501	−	5.84196i	0.540530	−	0.236534i
$611$	−4.23892	+	14.4364i	−0.171488	+	0.584036i
$612$	−7.07936	−	11.8267i	−0.286166	−	0.478066i
$613$	−1.67454	+	2.60564i	−0.0676341	+	0.105241i	−0.873423	−	0.486962i	$-0.838105\pi$
$613$	−1.67454	+	2.60564i	−0.0676341	+	0.105241i	0.805789	+	0.592202i	$0.201741\pi$
$614$	5.42558	+	0.0863147i	0.218959	+	0.00348338i
$615$	−0.197982	+	1.37700i	−0.00798341	+	0.0555259i
$616$	−0.835019	−	0.430612i	−0.0336439	−	0.0173498i
$617$	−27.0059	+	3.88287i	−1.08722	+	0.156318i	−0.662540	−	0.749026i	$-0.730522\pi$
$617$	−27.0059	+	3.88287i	−1.08722	+	0.156318i	−0.424678	+	0.905345i	$0.639613\pi$
$618$	−6.16313	+	1.70365i	−0.247918	+	0.0685310i
$619$	14.2129	−	16.4025i	0.571264	−	0.659274i	−0.394439	−	0.918922i	$-0.629061\pi$
$619$	14.2129	−	16.4025i	0.571264	−	0.659274i	0.965703	+	0.259648i	$0.0836066\pi$
$620$	−4.61336	−	3.17662i	−0.185277	−	0.127576i
$621$	7.54094	+	1.23210i	0.302607	+	0.0494423i
$622$	35.0090	+	10.8874i	1.40373	+	0.436545i
$623$	−4.84137	−	4.19507i	−0.193965	−	0.168072i
$624$	0.847901	−	1.15120i	0.0339432	−	0.0460849i
$625$	−0.962400	−	6.69364i	−0.0384960	−	0.267746i
$626$	3.54439	+	27.7822i	0.141662	+	1.11040i
$627$	−0.350642	−	0.0504147i	−0.0140033	−	0.00201337i
$628$	−0.0183054	+	0.0557204i	−0.000730464	+	0.00222349i
$629$	15.8801	+	10.2055i	0.633180	+	0.406920i
$630$	−5.17026	+	5.77846i	−0.205988	+	0.230219i
$631$	33.4393	+	9.81866i	1.33120	+	0.390875i	0.868521	−	0.495653i	$-0.165071\pi$
$631$	33.4393	+	9.81866i	1.33120	+	0.390875i	0.462676	+	0.886527i	$0.346889\pi$
$632$	33.8883	+	6.53575i	1.34801	+	0.259978i
$633$	4.09653	+	4.72764i	0.162822	+	0.187907i
$634$	14.3941	−	21.6332i	0.571664	−	0.859164i
$635$	−5.57163	+	12.2002i	−0.221103	+	0.484149i
$636$	−2.18616	−	5.22040i	−0.0866869	−	0.207002i
$637$	−5.57895	+	1.63813i	−0.221046	+	0.0649050i
$638$	1.03007	+	0.490366i	0.0407808	+	0.0194138i
$639$	18.4176	−	8.41102i	0.728588	−	0.332735i
$640$	12.0537	+	5.05299i	0.476466	+	0.199737i
$641$	18.8529	+	29.3358i	0.744646	+	1.15869i	0.982295	+	0.187341i	$0.0599870\pi$
$641$	18.8529	+	29.3358i	0.744646	+	1.15869i	−0.237648	+	0.971351i	$0.576377\pi$
$642$	5.19730	−	3.22446i	0.205121	−	0.127259i
$643$	8.98557			0.354356			0.177178	−	0.984179i	$-0.443303\pi$
$643$	8.98557			0.354356			0.177178	+	0.984179i	$0.443303\pi$
$644$	7.17131	−	13.7960i	0.282589	−	0.543638i
$645$	−1.22067			−0.0480638
$646$	−18.1951	+	11.2884i	−0.715878	+	0.444137i
$647$	13.9132	+	21.6493i	0.546984	+	0.851123i	0.999167	−	0.0408019i	$-0.0129912\pi$
$647$	13.9132	+	21.6493i	0.546984	+	0.851123i	−0.452184	+	0.891925i	$0.649355\pi$
$648$	17.1010	+	16.3098i	0.671792	+	0.640710i
$649$	−1.86160	+	0.850162i	−0.0730740	+	0.0333718i
$650$	−6.22434	−	2.96311i	−0.244139	−	0.116223i
$651$	1.01347	−	0.297583i	0.0397212	−	0.0116632i
$652$	−28.9979	+	12.1435i	−1.13565	+	0.475577i
$653$	10.1912	−	22.3156i	0.398812	−	0.873276i	−0.598578	−	0.801065i	$-0.704267\pi$
$653$	10.1912	−	22.3156i	0.398812	−	0.873276i	0.997389	−	0.0722110i	$-0.0230055\pi$
$654$	0.754434	−	1.13385i	0.0295007	−	0.0443371i
$655$	9.15117	+	10.5610i	0.357566	+	0.412653i
$656$	8.46636	−	15.7955i	0.330556	−	0.616712i
$657$	−5.57036	−	1.63561i	−0.217321	−	0.0638111i
$658$	17.2948	−	19.3292i	0.674220	−	0.753530i
$659$	−0.429167	−	0.275809i	−0.0167180	−	0.0107440i	0.532255	−	0.846584i	$-0.321345\pi$
$659$	−0.429167	−	0.275809i	−0.0167180	−	0.0107440i	−0.548973	+	0.835840i	$0.684981\pi$
$660$	0.120893	+	0.0397159i	0.00470574	+	0.00154594i
$661$	−1.36788	−	0.196672i	−0.0532045	−	0.00764965i	0.115661	−	0.993289i	$-0.463101\pi$
$661$	−1.36788	−	0.196672i	−0.0532045	−	0.00764965i	−0.168866	+	0.985639i	$0.554010\pi$
$662$	−1.37985	−	10.8158i	−0.0536295	−	0.420367i
$663$	−0.119743	−	0.832830i	−0.00465043	−	0.0323444i
$664$	−12.4347	+	35.9134i	−0.482559	+	1.39371i
$665$	9.10328	+	7.88804i	0.353010	+	0.305885i
$666$	−31.7053	−	9.85997i	−1.22856	−	0.382066i
$667$	−8.17070	+	17.0207i	−0.316371	+	0.659045i
$668$	−15.2261	+	22.1127i	−0.589117	+	0.855566i
$669$	0.226100	−	0.260933i	0.00874152	−	0.0100883i
$670$	10.4544	−	2.88988i	0.403890	−	0.111646i
$671$	−1.80910	+	0.260109i	−0.0698395	+	0.0100414i
$672$	−2.17275	+	1.16356i	−0.0838155	+	0.0448852i
$673$	0.242016	−	1.68326i	0.00932903	−	0.0648848i	−0.984625	−	0.174681i	$-0.944111\pi$
$673$	0.242016	−	1.68326i	0.00932903	−	0.0648848i	0.993954	+	0.109796i	$0.0350197\pi$
$674$	−38.1983	−	0.607691i	−1.47134	−	0.0234074i
$675$	−3.15730	+	4.91285i	−0.121524	+	0.189096i
$676$	19.2737	−	11.5371i	0.741297	−	0.443735i
$677$	−12.2350	+	41.6684i	−0.470227	+	1.60145i	0.293534	+	0.955949i	$0.405169\pi$
$677$	−12.2350	+	41.6684i	−0.470227	+	1.60145i	−0.763761	+	0.645499i	$0.776649\pi$
$678$	−2.19726	+	0.961514i	−0.0843853	+	0.0369267i
$679$	−16.5597	+	14.3490i	−0.635501	+	0.550665i
$680$	7.14094	−	2.85779i	0.273843	−	0.109591i
$681$	0.838346	+	0.382860i	0.0321255	+	0.0146712i
$682$	0.451551	+	0.538182i	0.0172908	+	0.0206081i
$683$	−9.64892	−	32.8612i	−0.369206	−	1.25740i	−0.909423	−	0.415873i	$-0.863476\pi$
$683$	−9.64892	−	32.8612i	−0.369206	−	1.25740i	0.540217	−	0.841526i	$-0.318342\pi$
$684$	25.5572	−	27.6651i	0.977203	−	1.05780i
$685$	3.72521	+	8.15708i	0.142333	+	0.311666i
$686$	25.7432	+	4.12028i	0.982880	+	0.157313i
$687$	0.803811	−	0.516578i	0.0306673	−	0.0197087i
$688$	14.7759	+	5.38073i	0.563327	+	0.205139i
$689$			14.0017i			0.533420i
$690$	−0.663779	+	1.99857i	−0.0252696	+	0.0760844i
$691$		−	47.7398i		−	1.81611i	−0.418854	−	0.908053i	$-0.637568\pi$
$691$		−	47.7398i		−	1.81611i	0.418854	−	0.908053i	$-0.362432\pi$
$692$	9.00275	−	2.33511i	0.342233	−	0.0887674i
$693$	0.818125	−	0.525777i	0.0310780	−	0.0199726i
$694$	0.141539	−	0.884322i	0.00537273	−	0.0335684i
$695$	4.57575	+	10.0195i	0.173568	+	0.380061i
$696$	2.59205	−	1.49610i	0.0982513	−	0.0567094i
$697$	−2.97131	−	10.1193i	−0.112546	−	0.383297i
$698$	−14.4525	+	12.1261i	−0.547036	+	0.458979i
$699$	1.37581	+	0.628311i	0.0520379	+	0.0237649i
$700$	7.49251	+	9.22407i	0.283190	+	0.348637i
$701$	−32.7380	+	28.3677i	−1.23650	+	1.07143i	−0.241618	+	0.970371i	$0.577678\pi$
$701$	−32.7380	+	28.3677i	−1.23650	+	1.07143i	−0.994880	+	0.101061i	$0.967776\pi$
$702$	1.20126	+	2.74512i	0.0453385	+	0.103608i
$703$	−14.5318	+	49.4906i	−0.548076	+	1.86657i
$704$	−1.28831	−	1.01365i	−0.0485550	−	0.0382033i
$705$	−1.89924	+	2.95528i	−0.0715297	+	0.111302i
$706$	−0.0980568	+	6.16367i	−0.00369042	+	0.231973i
$707$	−3.06070	+	21.2876i	−0.115109	+	0.800603i
$708$	−0.932719	+	5.28718i	−0.0350537	+	0.198705i
$709$	18.7960	−	2.70246i	0.705900	−	0.101493i	0.219990	−	0.975502i	$-0.429397\pi$
$709$	18.7960	−	2.70246i	0.705900	−	0.101493i	0.485910	+	0.874009i	$0.338488\pi$
$710$	3.01029	+	10.8900i	0.112974	+	0.408695i
$711$	−23.3948	+	26.9991i	−0.877375	+	1.01254i
$712$	−6.90831	−	8.78685i	−0.258900	−	0.329301i
$713$	−8.93092	+	7.44400i	−0.334466	+	0.278780i
$714$	−0.430722	+	1.38501i	−0.0161194	+	0.0518328i
$715$	−0.237915	−	0.206154i	−0.00889750	−	0.00770973i
$716$	0.592058	−	18.6031i	0.0221262	−	0.695231i
$717$	−0.167433	−	1.16452i	−0.00625290	−	0.0434899i
$718$	25.1607	−	3.20994i	0.938989	−	0.119794i
$719$	1.17124	+	0.168399i	0.0436799	+	0.00628022i	0.164120	−	0.986440i	$-0.447522\pi$
$719$	1.17124	+	0.168399i	0.0436799	+	0.00628022i	−0.120440	+	0.992721i	$0.538431\pi$
$720$	−10.7672	+	8.19155i	−0.401271	+	0.305281i
$721$	−22.9407	−	14.7431i	−0.854356	−	0.549061i
$722$	−23.5784	−	21.0967i	−0.877497	−	0.785138i
$723$	6.20323	+	1.82143i	0.230700	+	0.0677398i
$724$	16.8727	−	1.88034i	0.627069	−	0.0698822i
$725$	−9.44970	−	10.9055i	−0.350953	−	0.405022i
$726$	3.46775	+	2.30734i	0.128700	+	0.0856336i
$727$	−14.6749	+	32.1334i	−0.544260	+	1.19176i	0.415151	+	0.909753i	$0.363729\pi$
$727$	−14.6749	+	32.1334i	−0.544260	+	1.19176i	−0.959411	+	0.282011i	$0.908999\pi$
$728$	6.06994	−	0.578858i	0.224967	−	0.0214539i
$729$	−22.2381	+	6.52969i	−0.823632	+	0.241840i
$730$	1.39249	−	2.92507i	0.0515383	−	0.108262i
$731$	8.41779	−	3.84428i	0.311343	−	0.142186i
$732$	−2.12954	+	4.29588i	−0.0787099	+	0.158780i
$733$	−17.2879	−	26.9006i	−0.638545	−	0.993595i	−0.998168	−	0.0604974i	$-0.980731\pi$
$733$	−17.2879	−	26.9006i	−0.638545	−	0.993595i	0.359624	−	0.933097i	$-0.382905\pi$
$734$	−10.7826	−	17.3798i	−0.397992	−	0.641499i
$735$	−1.35758			−0.0500749
$736$	16.8447	−	21.2664i	0.620902	−	0.783888i
$737$	−1.36039			−0.0501108
$738$	9.77982	+	15.7635i	0.360000	+	0.580263i
$739$	20.7760	+	32.3280i	0.764256	+	1.18921i	0.977237	+	0.212149i	$0.0680463\pi$
$739$	20.7760	+	32.3280i	0.764256	+	1.18921i	−0.212981	+	0.977056i	$0.568317\pi$
$740$	8.22904	−	16.6003i	0.302506	−	0.610240i
$741$	2.09132	−	0.955074i	0.0768266	−	0.0350855i
$742$	10.3748	−	21.7933i	0.380870	−	0.800059i
$743$	7.57654	−	2.22467i	0.277956	−	0.0816153i	−0.139783	−	0.990182i	$-0.544641\pi$
$743$	7.57654	−	2.22467i	0.277956	−	0.0816153i	0.417740	+	0.908567i	$0.362822\pi$
$744$	1.83465	−	0.174961i	0.0672617	−	0.00641439i
$745$	−1.33156	+	2.91571i	−0.0487845	+	0.106823i
$746$	−16.6598	−	11.0850i	−0.609958	−	0.405849i
$747$	−25.7621	−	29.7311i	−0.942587	−	1.08780i
$748$	−0.958759	+	0.106847i	−0.0350557	+	0.00390670i
$749$	25.0276	+	7.34876i	0.914488	+	0.268518i
$750$	−2.83572	−	2.53725i	−0.103546	−	0.0926473i
$751$	16.1398	+	10.3724i	0.588948	+	0.378494i	0.800911	−	0.598784i	$-0.204349\pi$
$751$	16.1398	+	10.3724i	0.588948	+	0.378494i	−0.211963	+	0.977278i	$0.567985\pi$
$752$	36.0169	−	27.4011i	1.31340	−	0.999216i
$753$	−6.85243	−	0.985231i	−0.249716	−	0.0359038i
$754$	−7.34453	+	0.936997i	−0.267472	+	0.0341234i
$755$	−2.44547	−	17.0086i	−0.0889998	−	0.619007i
$756$	0.164311	−	5.16283i	0.00597593	−	0.187770i
$757$	−11.9165	−	10.3257i	−0.433113	−	0.375294i	0.410844	−	0.911706i	$-0.365234\pi$
$757$	−11.9165	−	10.3257i	−0.433113	−	0.375294i	−0.843957	+	0.536411i	$0.819780\pi$
$758$	−11.1373	+	35.8126i	−0.404525	+	1.30077i
$759$	0.147030	−	0.219424i	0.00533684	−	0.00796459i
$760$	12.9898	+	16.5220i	0.471189	+	0.599317i
$761$	−32.8363	+	37.8951i	−1.19031	+	1.37369i	−0.279882	+	0.960034i	$0.590295\pi$
$761$	−32.8363	+	37.8951i	−1.19031	+	1.37369i	−0.910431	+	0.413660i	$0.864250\pi$
$762$	−1.17578	−	4.25350i	−0.0425940	−	0.154088i
$763$	5.74901	−	0.826582i	0.208128	−	0.0299243i
$764$	2.25687	−	12.7932i	0.0816507	−	0.462843i
$765$	−1.13306	+	7.88064i	−0.0409660	+	0.284925i
$766$	−0.0735082	+	4.62059i	−0.00265596	+	0.166949i
$767$	7.18085	−	11.1736i	0.259286	−	0.403456i
$768$	−4.10691	+	1.27554i	−0.148195	+	0.0460272i
$769$	12.9481	−	44.0973i	0.466922	−	1.59019i	−0.303616	−	0.952794i	$-0.598194\pi$
$769$	12.9481	−	44.0973i	0.466922	−	1.59019i	0.770538	−	0.637395i	$-0.219988\pi$
$770$	0.217557	+	0.497163i	0.00784020	+	0.0179165i
$771$	4.21328	−	3.65083i	0.151737	−	0.131481i
$772$	−25.3214	−	31.1733i	−0.911338	−	1.12195i
$773$	3.85313	+	1.75966i	0.138587	+	0.0632907i	0.483502	−	0.875343i	$-0.339365\pi$
$773$	3.85313	+	1.75966i	0.138587	+	0.0632907i	−0.344914	+	0.938634i	$0.612092\pi$
$774$	−12.4696	+	10.4624i	−0.448212	+	0.376063i
$775$	−2.50348	−	8.52608i	−0.0899278	−	0.306266i
$776$	−33.1119	+	19.1118i	−1.18865	+	0.686072i
$777$	1.45143	+	3.17820i	0.0520699	+	0.114017i
$778$	4.25989	−	26.6155i	0.152725	−	0.954211i
$779$	24.2434	−	15.5803i	0.868609	−	0.558221i
$780$	−0.799401	+	0.207346i	−0.0286231	+	0.00742418i
$781$		−	1.41708i		−	0.0507070i
$782$	−1.71670	−	15.8727i	−0.0613891	−	0.567607i
$783$			6.27231i			0.224154i
$784$	16.4331	+	5.98422i	0.586898	+	0.213722i
$785$	0.0284996	−	0.0183155i	0.00101719	−	0.000653710i
$786$	−4.54015	−	0.726666i	−0.161942	−	0.0259193i
$787$	−17.4354	−	38.1782i	−0.621505	−	1.36091i	−0.914420	−	0.404767i	$-0.867353\pi$
$787$	−17.4354	−	38.1782i	−0.621505	−	1.36091i	0.292915	−	0.956139i	$-0.405375\pi$
$788$	6.67535	−	7.22591i	0.237799	−	0.257413i
$789$	−0.579265	−	1.97280i	−0.0206224	−	0.0702334i
$790$	−12.8135	−	15.2718i	−0.455884	−	0.543347i
$791$	−9.30425	−	4.24911i	−0.330821	−	0.151081i
$792$	1.57537	−	0.630461i	0.0559785	−	0.0224024i
$793$	8.96460	−	7.76787i	0.318342	−	0.275845i
$794$	−9.51599	+	4.16416i	−0.337710	+	0.147781i
$795$	−0.921021	+	3.13671i	−0.0326653	+	0.111248i
$796$	23.3631	−	13.9850i	0.828083	−	0.495684i
$797$	−10.5179	+	16.3662i	−0.372563	+	0.579720i	−0.976021	−	0.217675i	$-0.930153\pi$
$797$	−10.5179	+	16.3662i	−0.372563	+	0.579720i	0.603458	+	0.797395i	$0.293789\pi$
$798$	−3.96279	−	0.0630433i	−0.140281	−	0.00223171i
$799$	3.79015	−	26.3611i	0.134086	−	0.932588i
$800$	9.78870	+	18.2787i	0.346083	+	0.646251i
$801$	11.4521	−	1.64657i	0.404642	−	0.0581787i
$802$	−0.638261	+	0.176432i	−0.0225378	+	0.00623004i
$803$	−0.266083	+	0.307076i	−0.00938987	+	0.0108365i
$804$	−2.02397	+	2.93939i	−0.0713801	+	0.103664i
$805$	−8.23949	+	3.57372i	−0.290404	+	0.125957i
$806$	−4.35373	−	1.35396i	−0.153354	−	0.0476911i
$807$	4.64584	+	4.02564i	0.163541	+	0.141709i
$808$	−12.2775	+	35.4595i	−0.431922	+	1.24746i
$809$	3.80393	+	26.4569i	0.133739	+	0.930175i	0.940620	+	0.339461i	$0.110245\pi$
$809$	3.80393	+	26.4569i	0.133739	+	0.930175i	−0.806881	+	0.590714i	$0.798846\pi$
$810$	−1.72744	−	13.5403i	−0.0606962	−	0.475759i
$811$	11.8856	+	1.70889i	0.417360	+	0.0600074i	0.347796	−	0.937570i	$-0.386930\pi$
$811$	11.8856	+	1.70889i	0.417360	+	0.0600074i	0.0695641	+	0.997577i	$0.477839\pi$
$812$	12.1259	+	3.98364i	0.425536	+	0.139798i
$813$	−5.37533	−	3.45452i	−0.188521	−	0.121155i
$814$	−1.54953	+	1.73181i	−0.0543110	+	0.0606998i
$815$	17.4236	+	5.11603i	0.610321	+	0.179207i
$816$	−1.19557	+	2.23054i	−0.0418532	+	0.0780847i
$817$	16.5591	+	19.1102i	0.579330	+	0.668582i
$818$	17.1380	−	25.7570i	0.599216	−	0.900572i
$819$	−2.62194	+	5.74125i	−0.0916180	+	0.200615i
$820$	−9.54832	+	3.99857i	−0.333442	+	0.139636i
$821$	36.7955	−	10.8041i	1.28417	−	0.377067i	0.432734	−	0.901522i	$-0.357549\pi$
$821$	36.7955	−	10.8041i	1.28417	−	0.377067i	0.851439	+	0.524454i	$0.175731\pi$
$822$	−2.66409	−	1.26824i	−0.0929207	−	0.0442351i
$823$	20.2832	−	9.26304i	0.707029	−	0.322889i	−0.0292454	−	0.999572i	$-0.509310\pi$
$823$	20.2832	−	9.26304i	0.707029	−	0.322889i	0.736275	+	0.676683i	$0.236583\pi$
$824$	−34.4316	−	32.8385i	−1.19948	−	1.14398i
$825$	0.109141	+	0.169826i	0.00379979	+	0.00591260i
$826$	−19.4562	+	12.0708i	−0.676967	+	0.419997i
$827$	16.8800			0.586975			0.293488	−	0.955963i	$-0.405184\pi$
$827$	16.8800			0.586975			0.293488	+	0.955963i	$0.405184\pi$
$828$	10.3491	+	26.1055i	0.359656	+	0.907230i
$829$	−38.6218			−1.34139			−0.670696	−	0.741733i	$-0.734004\pi$
$829$	−38.6218			−1.34139			−0.670696	+	0.741733i	$0.734004\pi$
$830$	18.6541	−	11.5732i	0.647492	−	0.401710i
$831$	2.55776	+	3.97996i	0.0887278	+	0.138063i
$832$	10.5906	+	1.01390i	0.367161	+	0.0351505i
$833$	9.36190	−	4.27544i	0.324371	−	0.148135i
$834$	−3.27235	−	1.55781i	−0.113312	−	0.0539425i
$835$	14.8796	−	4.36906i	0.514931	−	0.151197i
$836$	−1.01821	−	2.43141i	−0.0352154	−	0.0840920i
$837$	−1.60453	+	3.51343i	−0.0554607	+	0.121442i
$838$	−16.9217	+	25.4320i	−0.584552	+	0.878533i
$839$	−27.8194	−	32.1054i	−0.960434	−	1.10840i	−0.994046	−	0.108965i	$-0.965246\pi$
$839$	−27.8194	−	32.1054i	−0.960434	−	1.10840i	0.0336116	−	0.999435i	$-0.489299\pi$
$840$	1.39789	+	0.269599i	0.0482318	+	0.00930206i
$841$	12.9546	+	3.80381i	0.446710	+	0.131166i
$842$	−9.05862	+	10.1242i	−0.312181	+	0.348903i
$843$	−0.280849	−	0.180491i	−0.00967295	−	0.00621643i
$844$	−14.5283	+	44.2231i	−0.500084	+	1.52222i
$845$	−12.8429	−	1.84653i	−0.441810	−	0.0635227i
$846$	5.92827	+	46.4679i	0.203818	+	1.59760i
$847$	2.52800	+	17.5826i	0.0868632	+	0.604147i
$848$	24.9754	−	33.9093i	0.857660	−	1.16445i
$849$	−4.67978	−	4.05506i	−0.160610	−	0.139169i
$850$	11.6517	+	3.62355i	0.399651	+	0.124287i
$851$	−28.5772	−	25.7371i	−0.979614	−	0.882256i
$852$	−3.06186	−	2.10830i	−0.104898	−	0.0722293i
$853$	12.3841	−	14.2920i	0.424022	−	0.489347i	−0.503036	−	0.864265i	$-0.667784\pi$
$853$	12.3841	−	14.2920i	0.424022	−	0.489347i	0.927058	+	0.374918i	$0.122329\pi$
$854$	−19.7090	+	5.44809i	−0.674428	+	0.186430i
$855$	−21.5336	+	3.09607i	−0.736434	+	0.105883i
$856$	40.4502	+	20.8598i	1.38256	+	0.712973i
$857$	3.11305	−	21.6518i	0.106340	−	0.739610i	−0.864975	−	0.501815i	$-0.832666\pi$
$857$	3.11305	−	21.6518i	0.106340	−	0.739610i	0.971315	−	0.237796i	$-0.0764249\pi$
$858$	0.103568	+	0.00164764i	0.00353574	+	5.62495e-5i
$859$	−9.75862	+	15.1847i	−0.332960	+	0.518096i	−0.966856	−	0.255323i	$-0.917818\pi$
$859$	−9.75862	+	15.1847i	−0.332960	+	0.518096i	0.633896	+	0.773418i	$0.281455\pi$
$860$	−4.66517	−	7.79357i	−0.159081	−	0.265758i
$861$	0.549968	−	1.87302i	0.0187428	−	0.0638323i
$862$	−11.2005	+	4.90130i	−0.381491	+	0.166939i
$863$	5.87725	−	5.09267i	0.200064	−	0.173356i	−0.549067	−	0.835778i	$-0.685017\pi$
$863$	5.87725	−	5.09267i	0.200064	−	0.173356i	0.749131	+	0.662422i	$0.230471\pi$
$864$	1.98740	−	8.79090i	0.0676127	−	0.299072i
$865$	−4.88676	−	2.23171i	−0.166155	−	0.0758803i
$866$	−26.3249	−	31.3754i	−0.894555	−	1.06618i
$867$	−0.867705	−	2.95513i	−0.0294688	−	0.100362i
$868$	5.77327	+	5.33339i	0.195958	+	0.181027i
$869$	1.03868	+	2.27438i	0.0352346	+	0.0771531i
$870$	−1.70699	−	0.273209i	−0.0578723	−	0.00926265i
$871$	7.42745	−	4.77333i	0.251669	−	0.161738i
$872$	10.1226	+	0.483441i	0.342793	+	0.0163714i
$873$		−	39.5743i		−	1.33939i
$874$	40.2933	−	16.7201i	1.36294	−	0.565564i
$875$		−	16.2277i		−	0.548596i
$876$	0.267622	+	1.03179i	0.00904210	+	0.0348608i
$877$	−0.245925	+	0.158047i	−0.00830431	+	0.00533685i	−0.544786	−	0.838575i	$-0.683389\pi$
$877$	−0.245925	+	0.158047i	−0.00830431	+	0.00533685i	0.536482	+	0.843912i	$0.319753\pi$
$878$	1.51473	−	9.46394i	0.0511198	−	0.319392i
$879$	−0.0420466	−	0.0920692i	−0.00141820	−	0.00310542i
$880$	0.208456	+	0.923646i	0.00702705	+	0.0311361i
$881$	11.5390	+	39.2982i	0.388759	+	1.32399i	0.888922	+	0.458060i	$0.151455\pi$
$881$	11.5390	+	39.2982i	0.388759	+	1.32399i	−0.500163	+	0.865931i	$0.666726\pi$
$882$	−13.8682	+	11.6358i	−0.466966	+	0.391799i
$883$	−23.9766	−	10.9497i	−0.806876	−	0.368488i	−0.0311157	−	0.999516i	$-0.509906\pi$
$883$	−23.9766	−	10.9497i	−0.806876	−	0.368488i	−0.775760	+	0.631028i	$0.782633\pi$
$884$	4.85971	−	3.94744i	0.163450	−	0.132767i
$885$	2.34368	−	2.03081i	0.0787820	−	0.0682650i
$886$	−11.9904	−	27.4005i	−0.402824	−	0.920538i
$887$	−3.85949	+	13.1442i	−0.129589	+	0.441340i	−0.998567	−	0.0535106i	$-0.982959\pi$
$887$	−3.85949	+	13.1442i	−0.129589	+	0.441340i	0.868978	+	0.494850i	$0.164777\pi$
$888$	1.43653	+	5.92461i	0.0482067	+	0.198817i
$889$	10.1750	−	15.8326i	0.341257	−	0.531007i
$890$	−0.102699	+	6.45544i	−0.00344246	+	0.216387i
$891$	−0.243647	+	1.69460i	−0.00816249	+	0.0567713i
$892$	2.53008	+	0.446335i	0.0847134	+	0.0149444i
$893$	72.0309	−	10.3565i	2.41042	−	0.346566i
$894$	−0.280998	−	1.01654i	−0.00939799	−	0.0339982i
$895$	−7.04038	+	8.12503i	−0.235334	+	0.271590i
$896$	−15.7328	−	9.42537i	−0.525595	−	0.314879i
$897$	−0.0328369	+	1.71390i	−0.00109639	+	0.0572255i
$898$	−13.4679	+	43.3068i	−0.449429	+	1.44517i
$899$	−7.21284	−	6.24996i	−0.240562	−	0.208448i
$900$	−21.4521	−	0.682729i	−0.715070	−	0.0227576i
$901$	−3.52710	−	24.5315i	−0.117505	−	0.817262i
$902$	1.28791	−	0.164308i	0.0428826	−	0.00547086i
$903$	1.69543	+	0.243765i	0.0564203	+	0.00811201i
$904$	−14.5365	−	10.3541i	−0.483476	−	0.344371i
$905$	−8.24961	−	5.30170i	−0.274226	−	0.176234i
$906$	4.21349	+	3.77001i	0.139984	+	0.125250i
$907$	43.4424	+	12.7558i	1.44248	+	0.423551i	0.907048	−	0.421027i	$-0.138330\pi$
$907$	43.4424	+	12.7558i	1.44248	+	0.423551i	0.535433	+	0.844578i	$0.320148\pi$
$908$	0.759568	+	6.81578i	0.0252072	+	0.226190i
$909$	−25.4366	−	29.3554i	−0.843678	−	0.973656i
$910$	−2.93225	−	1.95104i	−0.0972031	−	0.0646763i
$911$	−16.2137	+	35.5031i	−0.537185	+	1.17627i	0.425329	+	0.905039i	$0.360158\pi$
$911$	−16.2137	+	35.5031i	−0.537185	+	1.17627i	−0.962514	+	0.271232i	$0.912569\pi$
$912$	−6.76839	−	1.41739i	−0.224124	−	0.0469343i
$913$	−2.64181	+	0.775705i	−0.0874311	+	0.0256721i
$914$	−18.0848	+	37.9891i	−0.598192	+	1.25657i
$915$	2.51926	−	1.15051i	0.0832840	−	0.0380345i
$916$	6.37019	+	3.15780i	0.210477	+	0.104337i
$917$	−10.6013	−	16.4960i	−0.350087	−	0.544746i
$918$	−2.79617	−	4.50697i	−0.0922872	−	0.148752i
$919$	−52.7287			−1.73936			−0.869679	−	0.493617i	$-0.835675\pi$
$919$	−52.7287			−1.73936			−0.869679	+	0.493617i	$0.835675\pi$
$920$	−15.2971	+	3.40017i	−0.504330	+	0.112100i
$921$	1.03128			0.0339820
$922$	−9.88778	−	15.9375i	−0.325637	−	0.524874i
$923$	4.97221	+	7.73692i	0.163662	+	0.254664i
$924$	−0.159980	−	0.0793047i	−0.00526297	−	0.00260893i
$925$	26.7373	−	12.2105i	0.879118	−	0.401480i
$926$	11.6011	−	24.3694i	0.381236	−	0.800829i
$927$	47.2565	−	13.8757i	1.55211	−	0.455739i
$928$	19.4584	+	10.8316i	0.638753	+	0.355564i
$929$	−6.64107	+	14.5419i	−0.217886	+	0.477104i	−0.986738	−	0.162323i	$-0.948101\pi$
$929$	−6.64107	+	14.5419i	−0.217886	+	0.477104i	0.768851	+	0.639428i	$0.220829\pi$
$930$	−0.886279	−	0.589706i	−0.0290622	−	0.0193372i
$931$	18.4163	+	21.2536i	0.603571	+	0.696558i
$932$	1.24653	+	11.1854i	0.0408314	+	0.366389i
$933$	6.68568	+	1.96309i	0.218879	+	0.0642688i
$934$	12.2051	+	10.9204i	0.399361	+	0.357328i
$935$	0.468768	+	0.301259i	0.0153304	+	0.00985222i
$936$	−6.38904	+	8.96982i	−0.208832	+	0.293188i
$937$	−5.96310	−	0.857365i	−0.194806	−	0.0280089i	0.0442211	−	0.999022i	$-0.485919\pi$
$937$	−5.96310	−	0.857365i	−0.194806	−	0.0280089i	−0.239027	+	0.971013i	$0.576828\pi$
$938$	−15.0976	+	1.92611i	−0.492954	+	0.0628899i
$939$	0.757530	+	5.26874i	0.0247211	+	0.171939i
$940$	−26.1270	−	0.831512i	−0.852170	−	0.0271209i
$941$	45.7724	+	39.6620i	1.49214	+	1.29294i	0.850551	+	0.525893i	$0.176269\pi$
$941$	45.7724	+	39.6620i	1.49214	+	1.29294i	0.641586	+	0.767051i	$0.278277\pi$
$942$	−0.00331012	+	0.0106439i	−0.000107849	+	0.000346796i
$943$	2.64996	+	21.3230i	0.0862945	+	0.694373i
$944$	−37.3216	+	14.2515i	−1.21471	+	0.463848i
$945$	−1.95388	+	2.25490i	−0.0635598	+	0.0733519i
$946$	0.303530	+	1.09805i	0.00986862	+	0.0357007i
$947$	−39.7394	+	5.71367i	−1.29136	+	0.185669i	−0.753546	−	0.657396i	$-0.771658\pi$
$947$	−39.7394	+	5.71367i	−1.29136	+	0.185669i	−0.537812	+	0.843065i	$0.680749\pi$
$948$	6.45955	+	1.13954i	0.209797	+	0.0370105i
$949$	0.375290	−	2.61020i	0.0121824	−	0.0847306i
$950$	−0.530366	+	33.3379i	−0.0172074	+	1.08162i
$951$	2.66992	−	4.15447i	0.0865780	−	0.134718i
$952$	−10.4890	+	2.54324i	−0.339950	+	0.0824268i
$953$	8.56542	−	29.1712i	0.277461	−	0.944946i	−0.696372	−	0.717681i	$-0.745203\pi$
$953$	8.56542	−	29.1712i	0.277461	−	0.944946i	0.973833	−	0.227265i	$-0.0729784\pi$
$954$	17.4763	+	39.9369i	0.565815	+	1.29300i
$955$	−5.67093	+	4.91389i	−0.183507	+	0.159010i
$956$	6.79520	−	5.51959i	0.219772	−	0.178516i
$957$	0.197226	+	0.0900702i	0.00637542	+	0.00291155i
$958$	−17.1418	+	14.3825i	−0.553827	+	0.464678i
$959$	−3.54511	−	12.0735i	−0.114478	−	0.389875i
$960$	2.30585	+	0.923778i	0.0744209	+	0.0298148i
$961$	10.4364	+	22.8525i	0.336658	+	0.737179i
$962$	2.38355	−	14.8922i	0.0768488	−	0.480145i
$963$	−39.6318	+	25.4698i	−1.27712	+	0.820754i
$964$	12.0783	+	46.5667i	0.389017	+	1.49981i
$965$			23.1981i			0.746773i
$966$	1.32106	−	2.64333i	0.0425043	−	0.0850477i
$967$		−	47.6964i		−	1.53381i	−0.641758	−	0.766907i	$-0.721795\pi$
$967$		−	47.6964i		−	1.53381i	0.641758	−	0.766907i	$-0.278205\pi$
$968$	−1.47855	+	30.9587i	−0.0475223	+	0.995049i
$969$	−3.42349	+	2.20015i	−0.109978	+	0.0706789i
$970$	21.8058	+	3.49009i	0.700142	+	0.112060i
$971$	−7.59258	−	16.6254i	−0.243658	−	0.533536i	0.747806	−	0.663917i	$-0.231107\pi$
$971$	−7.59258	−	16.6254i	−0.243658	−	0.533536i	−0.991464	+	0.130381i	$0.958380\pi$
$972$	10.3208	+	9.53441i	0.331039	+	0.305816i
$973$	−4.35453	−	14.8302i	−0.139600	−	0.475434i
$974$	−7.94987	−	9.47508i	−0.254730	−	0.303601i
$975$	−1.19177	−	0.544262i	−0.0381671	−	0.0174303i
$976$	−35.5665	+	2.82168i	−1.13846	+	0.0903199i
$977$	34.4161	−	29.8217i	1.10107	−	0.954081i	0.101898	−	0.994795i	$-0.467509\pi$
$977$	34.4161	−	29.8217i	1.10107	−	0.954081i	0.999171	+	0.0407135i	$0.0129631\pi$
$978$	−5.47376	+	2.39530i	−0.175032	+	0.0765932i
$979$	0.228136	−	0.776960i	0.00729126	−	0.0248317i
$980$	−5.18840	−	8.66767i	−0.165737	−	0.276879i
$981$	−5.67133	+	8.82476i	−0.181072	+	0.281753i
$982$	19.3257	+	0.307450i	0.616709	+	0.00981112i
$983$	−6.50804	+	45.2644i	−0.207574	+	1.44371i	0.573466	+	0.819230i	$0.305599\pi$
$983$	−6.50804	+	45.2644i	−0.207574	+	1.44371i	−0.781040	+	0.624481i	$0.785310\pi$
$984$	1.56111	−	3.02722i	0.0497663	−	0.0965041i
$985$	−5.62442	+	0.808670i	−0.179209	+	0.0257664i
$986$	12.6319	−	3.49179i	0.402281	−	0.111201i
$987$	3.22808	−	3.72541i	0.102751	−	0.118581i
$988$	14.0905	+	9.70227i	0.448277	+	0.308670i
$989$	−18.1885	+	4.96422i	−0.578361	+	0.157853i
$990$	−0.935917	−	0.291059i	−0.0297454	−	0.00925046i
$991$	22.0271	+	19.0866i	0.699714	+	0.606306i	0.930323	−	0.366741i	$-0.119526\pi$
$991$	22.0271	+	19.0866i	0.699714	+	0.606306i	−0.230609	+	0.973047i	$0.574072\pi$
$992$	8.12877	+	11.0450i	0.258089	+	0.350679i
$993$	−0.294911	−	2.05115i	−0.00935871	−	0.0650913i
$994$	−2.00637	−	15.7266i	−0.0636381	−	0.498819i
$995$	−15.5678	−	2.23832i	−0.493534	−	0.0709594i
$996$	−2.25439	+	6.86221i	−0.0714330	+	0.217437i
$997$	49.2457	+	31.6483i	1.55963	+	1.00231i	0.982633	+	0.185561i	$0.0594103\pi$
$997$	49.2457	+	31.6483i	1.55963	+	1.00231i	0.576993	+	0.816749i	$0.304226\pi$
$998$	3.15694	−	3.52830i	0.0999313	−	0.111687i
$999$	−12.2589	−	3.59954i	−0.387855	−	0.113885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	92.2.h.a.7.8	yes	100
3.2	odd	2		828.2.u.a.559.3		100
4.3	odd	2	inner	92.2.h.a.7.2	✓	100
12.11	even	2		828.2.u.a.559.9		100
23.10	odd	22	inner	92.2.h.a.79.2	yes	100
69.56	even	22		828.2.u.a.631.9		100
92.79	even	22	inner	92.2.h.a.79.8	yes	100
276.263	odd	22		828.2.u.a.631.3		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
92.2.h.a.7.2	✓	100	4.3	odd	2	inner
92.2.h.a.7.8	yes	100	1.1	even	1	trivial
92.2.h.a.79.2	yes	100	23.10	odd	22	inner
92.2.h.a.79.8	yes	100	92.79	even	22	inner
828.2.u.a.559.3		100	3.2	odd	2
828.2.u.a.559.9		100	12.11	even	2
828.2.u.a.631.3		100	276.263	odd	22
828.2.u.a.631.9		100	69.56	even	22

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)

\(f(q)\)	\(=\)	\(q+(0.745560 + 1.20172i) q^{2} +(0.145312 + 0.226109i) q^{3} +(-0.888280 + 1.79191i) q^{4} +(1.05084 - 0.479903i) q^{5} +(-0.163382 + 0.343203i) q^{6} +(-1.55538 + 0.456702i) q^{7} +(-2.81565 + 0.268514i) q^{8} +(1.21624 - 2.66318i) q^{9} +O(q^{10})\)	\(q+(0.745560 + 1.20172i) q^{2} +(0.145312 + 0.226109i) q^{3} +(-0.888280 + 1.79191i) q^{4} +(1.05084 - 0.479903i) q^{5} +(-0.163382 + 0.343203i) q^{6} +(-1.55538 + 0.456702i) q^{7} +(-2.81565 + 0.268514i) q^{8} +(1.21624 - 2.66318i) q^{9} +(1.36018 + 0.905024i) q^{10} +(-0.134187 - 0.154860i) q^{11} +(-0.534246 + 0.0595378i) q^{12} +(1.27600 + 0.374668i) q^{13} +(-1.70846 - 1.52864i) q^{14} +(0.261210 + 0.167870i) q^{15} +(-2.42192 - 3.18344i) q^{16} +(-2.32999 - 0.335002i) q^{17} +(4.10719 - 0.523985i) q^{18} +(-0.915384 - 6.36664i) q^{19} +(-0.0734954 + 2.30931i) q^{20} +(-0.329280 - 0.285323i) q^{21} +(0.0860546 - 0.276714i) q^{22} +(4.57484 + 1.43904i) q^{23} +(-0.469861 - 0.597627i) q^{24} +(-2.40034 + 2.77014i) q^{25} +(0.501089 + 1.81274i) q^{26} +(1.57703 - 0.226742i) q^{27} +(0.563245 - 3.19279i) q^{28} +(-0.560267 + 3.89674i) q^{29} +(-0.00698492 + 0.439059i) q^{30} +(-1.31067 + 2.03944i) q^{31} +(2.01993 - 5.28393i) q^{32} +(0.0155164 - 0.0528440i) q^{33} +(-1.33457 - 3.04977i) q^{34} +(-1.41529 + 1.22635i) q^{35} +(3.69184 + 4.54504i) q^{36} +(-7.29447 - 3.33127i) q^{37} +(6.96846 - 5.84675i) q^{38} +(0.100702 + 0.342960i) q^{39} +(-2.82994 + 1.63341i) q^{40} +(1.86121 + 4.07548i) q^{41} +(0.0973810 - 0.608429i) q^{42} +(-3.30721 + 2.12541i) q^{43} +(0.396692 - 0.102893i) q^{44} -3.38226i q^{45} +(1.68149 + 6.57059i) q^{46} +11.3138i q^{47} +(0.367873 - 1.01021i) q^{48} +(-3.67814 + 2.36379i) q^{49} +(-5.11855 - 0.819240i) q^{50} +(-0.262828 - 0.575513i) q^{51} +(-1.80482 + 1.95368i) q^{52} +(2.96624 + 10.1021i) q^{53} +(1.44825 + 1.72610i) q^{54} +(-0.215327 - 0.0983367i) q^{55} +(4.25679 - 1.70356i) q^{56} +(1.30654 - 1.13212i) q^{57} +(-5.10052 + 2.23197i) q^{58} +(2.81381 - 9.58295i) q^{59} +(-0.532836 + 0.318951i) q^{60} +(4.82228 - 7.50361i) q^{61} +(-3.42802 - 0.0545358i) q^{62} +(-0.675431 + 4.69773i) q^{63} +(7.85580 - 1.51208i) q^{64} +(1.52068 - 0.218641i) q^{65} +(0.0750723 - 0.0207520i) q^{66} +(4.34762 - 5.01742i) q^{67} +(2.66998 - 3.87757i) q^{68} +(0.339397 + 1.24352i) q^{69} +(-2.52892 - 0.786464i) q^{70} +(5.22648 + 4.52877i) q^{71} +(-2.70939 + 7.82518i) q^{72} +(-0.282200 - 1.96274i) q^{73} +(-1.43520 - 11.2496i) q^{74} +(-0.975154 - 0.140206i) q^{75} +(12.2216 + 4.01506i) q^{76} +(0.279437 + 0.179583i) q^{77} +(-0.337064 + 0.376713i) q^{78} +(-11.7079 - 3.43774i) q^{79} +(-4.07280 - 2.18301i) q^{80} +(-5.47139 - 6.31433i) q^{81} +(-3.50996 + 5.27517i) q^{82} +(5.58187 - 12.2226i) q^{83} +(0.803767 - 0.336595i) q^{84} +(-2.60922 + 0.766136i) q^{85} +(-5.01988 - 2.38973i) q^{86} +(-0.962504 + 0.439561i) q^{87} +(0.419407 + 0.400002i) q^{88} +(2.13650 + 3.32446i) q^{89} +(4.06454 - 2.52168i) q^{90} -2.15578 q^{91} +(-6.64237 + 6.91946i) q^{92} -0.651591 q^{93} +(-13.5961 + 8.43512i) q^{94} +(-4.01729 - 6.25103i) q^{95} +(1.48827 - 0.311090i) q^{96} +(12.2954 - 5.61513i) q^{97} +(-5.58290 - 2.65775i) q^{98} +(-0.575624 + 0.169019i) 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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