LMFDB - Embedded newform 276.2.o.a.35.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

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

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

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			35.10
Character	$\chi$	$=$	276.35
Dual form			276.2.o.a.71.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.09972 - 0.889160i) q^{2} +(0.954066 + 1.44560i) q^{3} +(0.418787 + 1.95566i) q^{4} +(0.982607 + 3.34645i) q^{5} +(0.236161 - 2.43808i) q^{6} +(0.453842 - 0.393256i) q^{7} +(1.27835 - 2.52306i) q^{8} +(-1.17952 + 2.75839i) q^{9} +O(q^{10})$	\(q+(-1.09972 - 0.889160i) q^{2} +(0.954066 + 1.44560i) q^{3} +(0.418787 + 1.95566i) q^{4} +(0.982607 + 3.34645i) q^{5} +(0.236161 - 2.43808i) q^{6} +(0.453842 - 0.393256i) q^{7} +(1.27835 - 2.52306i) q^{8} +(-1.17952 + 2.75839i) q^{9} +(1.89494 - 4.55387i) q^{10} +(-3.29933 - 2.12035i) q^{11} +(-2.42756 + 2.47123i) q^{12} +(-1.84189 + 2.12565i) q^{13} +(-0.848769 + 0.0289352i) q^{14} +(-3.90016 + 4.61319i) q^{15} +(-3.64923 + 1.63801i) q^{16} +(-0.320532 + 0.146382i) q^{17} +(3.74980 - 1.98469i) q^{18} +(1.79903 + 0.821588i) q^{19} +(-6.13303 + 3.32310i) q^{20} +(1.00149 + 0.280881i) q^{21} +(1.74302 + 5.26543i) q^{22} +(2.93332 - 3.79416i) q^{23} +(4.86696 - 0.559185i) q^{24} +(-6.02696 + 3.87329i) q^{25} +(3.91561 - 0.699897i) q^{26} +(-5.11287 + 0.926578i) q^{27} +(0.959140 + 0.722871i) q^{28} +(8.75025 - 3.99611i) q^{29} +(8.39097 - 1.60537i) q^{30} +(0.519891 - 0.0747490i) q^{31} +(5.46961 + 1.44339i) q^{32} +(-0.0825988 - 6.79246i) q^{33} +(0.482654 + 0.124024i) q^{34} +(1.76196 + 1.13234i) q^{35} +(-5.88846 - 1.15156i) q^{36} +(2.52234 + 0.740626i) q^{37} +(-1.24791 - 2.50314i) q^{38} +(-4.83012 - 0.634621i) q^{39} +(9.69941 + 1.79875i) q^{40} +(2.81995 + 9.60386i) q^{41} +(-0.851610 - 1.19937i) q^{42} +(6.92362 + 0.995467i) q^{43} +(2.76497 - 7.34035i) q^{44} +(-10.3898 - 1.23678i) q^{45} +(-6.59946 + 1.56434i) q^{46} -5.45483 q^{47} +(-5.84952 - 3.71256i) q^{48} +(-0.944882 + 6.57180i) q^{49} +(10.0720 + 1.09938i) q^{50} +(-0.517418 - 0.323703i) q^{51} +(-4.92841 - 2.71191i) q^{52} +(1.30216 - 1.12832i) q^{53} +(6.44663 + 3.52718i) q^{54} +(3.85371 - 13.1245i) q^{55} +(-0.412041 - 1.64779i) q^{56} +(0.528702 + 3.38452i) q^{57} +(-13.1760 - 3.38576i) q^{58} +(5.67755 - 6.55224i) q^{59} +(-10.6552 - 5.69545i) q^{60} +(-0.700298 - 4.87068i) q^{61} +(-0.638200 - 0.380063i) q^{62} +(0.549441 + 1.71573i) q^{63} +(-4.73166 - 6.45069i) q^{64} +(-8.92324 - 4.07511i) q^{65} +(-5.94875 + 7.54328i) q^{66} +(3.97263 + 6.18154i) q^{67} +(-0.420509 - 0.565549i) q^{68} +(8.28341 + 0.620527i) q^{69} +(-0.930836 - 2.81193i) q^{70} +(-8.86761 + 5.69886i) q^{71} +(5.45176 + 6.50218i) q^{72} +(4.20379 - 9.20502i) q^{73} +(-2.11534 - 3.05725i) q^{74} +(-11.3493 - 5.01719i) q^{75} +(-0.853339 + 3.86236i) q^{76} +(-2.33121 + 0.335178i) q^{77} +(4.74752 + 4.99266i) q^{78} +(-12.2257 - 10.5936i) q^{79} +(-9.06730 - 10.6025i) q^{80} +(-6.21748 - 6.50715i) q^{81} +(5.43821 - 13.0690i) q^{82} +(16.3057 + 4.78777i) q^{83} +(-0.129900 + 2.07620i) q^{84} +(-0.804817 - 0.928809i) q^{85} +(-6.72895 - 7.25095i) q^{86} +(14.1251 + 8.83681i) q^{87} +(-9.56746 + 5.61386i) q^{88} +(-8.07202 - 1.16058i) q^{89} +(10.3263 + 10.5983i) q^{90} +1.68904i q^{91} +(8.64853 + 4.14763i) q^{92} +(0.604067 + 0.680239i) q^{93} +(5.99881 + 4.85022i) q^{94} +(-0.981668 + 6.82765i) q^{95} +(3.13180 + 9.28396i) q^{96} +(9.68868 - 2.84485i) q^{97} +(6.88249 - 6.38701i) q^{98} +(9.74038 - 6.59986i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{10}{11}\right)$	$-1$	$-1$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.09972	−	0.889160i	−0.777623	−	0.628731i
$2$	−1.09972	−	0.889160i	−0.777623	−	0.628731i
$3$	0.954066	+	1.44560i	0.550830	+	0.834617i
$3$	0.954066	+	1.44560i	0.550830	+	0.834617i
$4$	0.418787	+	1.95566i	0.209394	+	0.977831i
$5$	0.982607	+	3.34645i	0.439435	+	1.49658i	0.820292	+	0.571945i	$0.193811\pi$
$5$	0.982607	+	3.34645i	0.439435	+	1.49658i	−0.380857	+	0.924634i	$0.624371\pi$
$6$	0.236161	−	2.43808i	0.0964123	−	0.995341i
$7$	0.453842	−	0.393256i	0.171536	−	0.148637i	−0.564862	−	0.825185i	$-0.691071\pi$
$7$	0.453842	−	0.393256i	0.171536	−	0.148637i	0.736398	+	0.676549i	$0.236525\pi$
$8$	1.27835	−	2.52306i	0.451964	−	0.892036i
$9$	−1.17952	+	2.75839i	−0.393173	+	0.919465i
$10$	1.89494	−	4.55387i	0.599231	−	1.44006i
$11$	−3.29933	−	2.12035i	−0.994785	−	0.639310i	−0.0613728	−	0.998115i	$-0.519548\pi$
$11$	−3.29933	−	2.12035i	−0.994785	−	0.639310i	−0.933412	+	0.358805i	$0.883184\pi$
$12$	−2.42756	+	2.47123i	−0.700775	+	0.713383i
$13$	−1.84189	+	2.12565i	−0.510847	+	0.589549i	−0.951315	−	0.308219i	$-0.900267\pi$
$13$	−1.84189	+	2.12565i	−0.510847	+	0.589549i	0.440468	+	0.897768i	$0.354813\pi$
$14$	−0.848769	+	0.0289352i	−0.226843	+	0.00773326i
$15$	−3.90016	+	4.61319i	−1.00702	+	1.19112i
$16$	−3.64923	+	1.63801i	−0.912309	+	0.409503i
$17$	−0.320532	+	0.146382i	−0.0777404	+	0.0355029i	−0.453906	−	0.891050i	$-0.649970\pi$
$17$	−0.320532	+	0.146382i	−0.0777404	+	0.0355029i	0.376165	+	0.926553i	$0.377242\pi$
$18$	3.74980	−	1.98469i	0.883836	−	0.467797i
$19$	1.79903	+	0.821588i	0.412725	+	0.188485i	0.610946	−	0.791672i	$-0.290789\pi$
$19$	1.79903	+	0.821588i	0.412725	+	0.188485i	−0.198221	+	0.980157i	$0.563516\pi$
$20$	−6.13303	+	3.32310i	−1.37139	+	0.743068i
$21$	1.00149	+	0.280881i	0.218542	+	0.0612934i
$22$	1.74302	+	5.26543i	0.371613	+	1.12259i
$23$	2.93332	−	3.79416i	0.611639	−	0.791137i
$23$	2.93332	−	3.79416i	0.611639	−	0.791137i
$24$	4.86696	−	0.559185i	0.993464	−	0.114143i
$25$	−6.02696	+	3.87329i	−1.20539	+	0.774658i
$26$	3.91561	−	0.699897i	0.767915	−	0.137261i
$27$	−5.11287	+	0.926578i	−0.983973	+	0.178320i
$28$	0.959140	+	0.722871i	0.181260	+	0.136610i
$29$	8.75025	−	3.99611i	1.62488	−	0.742058i	0.625606	−	0.780139i	$-0.284852\pi$
$29$	8.75025	−	3.99611i	1.62488	−	0.742058i	0.999275	+	0.0380809i	$0.0121244\pi$
$30$	8.39097	−	1.60537i	1.53197	−	0.293099i
$31$	0.519891	−	0.0747490i	0.0933751	−	0.0134253i	−0.0954689	−	0.995432i	$-0.530435\pi$
$31$	0.519891	−	0.0747490i	0.0933751	−	0.0134253i	0.188844	+	0.982007i	$0.439526\pi$
$32$	5.46961	+	1.44339i	0.966899	+	0.255158i
$33$	−0.0825988	−	6.79246i	−0.0143786	−	1.18242i
$34$	0.482654	+	0.124024i	0.0827745	+	0.0212700i
$35$	1.76196	+	1.13234i	0.297826	+	0.191401i
$36$	−5.88846	−	1.15156i	−0.981409	−	0.191926i
$37$	2.52234	+	0.740626i	0.414670	+	0.121758i	0.482411	−	0.875945i	$-0.339761\pi$
$37$	2.52234	+	0.740626i	0.414670	+	0.121758i	−0.0677412	+	0.997703i	$0.521579\pi$
$38$	−1.24791	−	2.50314i	−0.202438	−	0.406063i
$39$	−4.83012	−	0.634621i	−0.773438	−	0.101621i
$40$	9.69941	+	1.79875i	1.53361	+	0.284408i
$41$	2.81995	+	9.60386i	0.440402	+	1.49987i	0.818718	+	0.574195i	$0.194685\pi$
$41$	2.81995	+	9.60386i	0.440402	+	1.49987i	−0.378316	+	0.925676i	$0.623497\pi$
$42$	−0.851610	−	1.19937i	−0.131406	−	0.185067i
$43$	6.92362	+	0.995467i	1.05584	+	0.151807i	0.648305	−	0.761381i	$-0.275478\pi$
$43$	6.92362	+	0.995467i	1.05584	+	0.151807i	0.407538	+	0.913188i	$0.366387\pi$
$44$	2.76497	−	7.34035i	0.416835	−	1.10660i
$45$	−10.3898	−	1.23678i	−1.54883	−	0.184369i
$46$	−6.59946	+	1.56434i	−0.973037	+	0.230649i
$47$	−5.45483			−0.795668			−0.397834	−	0.917457i	$-0.630238\pi$
$47$	−5.45483			−0.795668			−0.397834	+	0.917457i	$0.630238\pi$
$48$	−5.84952	−	3.71256i	−0.844306	−	0.535862i
$49$	−0.944882	+	6.57180i	−0.134983	+	0.938828i
$50$	10.0720	+	1.09938i	1.42439	+	0.155476i
$51$	−0.517418	−	0.323703i	−0.0724531	−	0.0453275i
$52$	−4.92841	−	2.71191i	−0.683448	−	0.376075i
$53$	1.30216	−	1.12832i	0.178865	−	0.154987i	−0.560827	−	0.827933i	$-0.689517\pi$
$53$	1.30216	−	1.12832i	0.178865	−	0.154987i	0.739692	+	0.672946i	$0.234971\pi$
$54$	6.44663	+	3.52718i	0.877275	+	0.479989i
$55$	3.85371	−	13.1245i	0.519634	−	1.76971i
$56$	−0.412041	−	1.64779i	−0.0550613	−	0.220195i
$57$	0.528702	+	3.38452i	0.0700283	+	0.448291i
$58$	−13.1760	−	3.38576i	−1.73010	−	0.444572i
$59$	5.67755	−	6.55224i	0.739154	−	0.853029i	−0.254317	−	0.967121i	$-0.581851\pi$
$59$	5.67755	−	6.55224i	0.739154	−	0.853029i	0.993470	+	0.114092i	$0.0363960\pi$
$60$	−10.6552	−	5.69545i	−1.37558	−	0.735279i
$61$	−0.700298	−	4.87068i	−0.0896640	−	0.623627i	−0.984257	−	0.176745i	$-0.943443\pi$
$61$	−0.700298	−	4.87068i	−0.0896640	−	0.623627i	0.894593	−	0.446882i	$-0.147466\pi$
$62$	−0.638200	−	0.380063i	−0.0810515	−	0.0482681i
$63$	0.549441	+	1.71573i	0.0692231	+	0.216161i
$64$	−4.73166	−	6.45069i	−0.591457	−	0.806337i
$65$	−8.92324	−	4.07511i	−1.10679	−	0.505455i
$66$	−5.94875	+	7.54328i	−0.732241	+	0.928514i
$67$	3.97263	+	6.18154i	0.485335	+	0.755195i	0.994417	−	0.105523i	$-0.0336515\pi$
$67$	3.97263	+	6.18154i	0.485335	+	0.755195i	−0.509082	+	0.860718i	$0.670015\pi$
$68$	−0.420509	−	0.565549i	−0.0509942	−	0.0685829i
$69$	8.28341	+	0.620527i	0.997206	+	0.0747026i
$70$	−0.930836	−	2.81193i	−0.111256	−	0.336090i
$71$	−8.86761	+	5.69886i	−1.05239	+	0.676331i	−0.948021	−	0.318208i	$-0.896919\pi$
$71$	−8.86761	+	5.69886i	−1.05239	+	0.676331i	−0.104370	+	0.994539i	$0.533283\pi$
$72$	5.45176	+	6.50218i	0.642496	+	0.766289i
$73$	4.20379	−	9.20502i	0.492017	−	1.07737i	−0.486966	−	0.873421i	$-0.661896\pi$
$73$	4.20379	−	9.20502i	0.492017	−	1.07737i	0.978982	−	0.203945i	$-0.0653764\pi$
$74$	−2.11534	−	3.05725i	−0.245904	−	0.355398i
$75$	−11.3493	−	5.01719i	−1.31051	−	0.579336i
$76$	−0.853339	+	3.86236i	−0.0978847	+	0.443043i
$77$	−2.33121	+	0.335178i	−0.265667	+	0.0381971i
$78$	4.74752	+	4.99266i	0.537551	+	0.565307i
$79$	−12.2257	−	10.5936i	−1.37550	−	1.19188i	−0.959228	−	0.282635i	$-0.908792\pi$
$79$	−12.2257	−	10.5936i	−1.37550	−	1.19188i	−0.416270	−	0.909241i	$-0.636663\pi$
$80$	−9.06730	−	10.6025i	−1.01375	−	1.18539i
$81$	−6.21748	−	6.50715i	−0.690831	−	0.723017i
$82$	5.43821	−	13.0690i	0.600550	−	1.44323i
$83$	16.3057	+	4.78777i	1.78978	+	0.525526i	0.996520	−	0.0833581i	$-0.0265645\pi$
$83$	16.3057	+	4.78777i	1.78978	+	0.525526i	0.793259	+	0.608884i	$0.208383\pi$
$84$	−0.129900	+	2.07620i	−0.0141732	+	0.226532i
$85$	−0.804817	−	0.928809i	−0.0872947	−	0.100743i
$86$	−6.72895	−	7.25095i	−0.725601	−	0.781890i
$87$	14.1251	+	8.83681i	1.51437	+	0.947406i
$88$	−9.56746	+	5.61386i	−1.01989	+	0.598439i
$89$	−8.07202	−	1.16058i	−0.855633	−	0.123021i	−0.299481	−	0.954102i	$-0.596814\pi$
$89$	−8.07202	−	1.16058i	−0.855633	−	0.123021i	−0.556152	+	0.831081i	$0.687723\pi$
$90$	10.3263	+	10.5983i	1.08848	+	1.11716i
$91$			1.68904i			0.177060i
$92$	8.64853	+	4.14763i	0.901672	+	0.432421i
$93$	0.604067	+	0.680239i	0.0626388	+	0.0705375i
$94$	5.99881	+	4.85022i	0.618730	+	0.500262i
$95$	−0.981668	+	6.82765i	−0.100717	+	0.700502i
$96$	3.13180	+	9.28396i	0.319638	+	0.947540i
$97$	9.68868	−	2.84485i	0.983736	−	0.288851i	0.249970	−	0.968254i	$-0.419579\pi$
$97$	9.68868	−	2.84485i	0.983736	−	0.288851i	0.733766	+	0.679403i	$0.237761\pi$
$98$	6.88249	−	6.38701i	0.695237	−	0.645186i
$99$	9.74038	−	6.59986i	0.978945	−	0.663311i
$100$	−10.0989	−	10.1646i	−1.00989	−	1.01646i
$101$	3.23156	−	11.0057i	0.321553	−	1.09511i	−0.627140	−	0.778907i	$-0.715775\pi$
$101$	3.23156	−	11.0057i	0.321553	−	1.09511i	0.948692	−	0.316201i	$-0.102407\pi$
$102$	0.281194	+	0.816052i	0.0278423	+	0.0808012i
$103$	3.37596	−	5.25310i	0.332643	−	0.517603i	−0.634134	−	0.773223i	$-0.718643\pi$
$103$	3.37596	−	5.25310i	0.332643	−	0.517603i	0.966777	+	0.255620i	$0.0822796\pi$
$104$	3.00857	+	7.36451i	0.295015	+	0.722149i
$105$	0.0441107	+	3.62742i	0.00430477	+	0.354000i
$106$	−2.43527	+	0.0830204i	−0.236535	+	0.00806365i
$107$	1.11284	+	7.73994i	0.107582	+	0.748249i	0.970185	+	0.242367i	$0.0779237\pi$
$107$	1.11284	+	7.73994i	0.107582	+	0.748249i	−0.862603	+	0.505882i	$0.831167\pi$
$108$	−3.95328	−	9.61101i	−0.380405	−	0.924820i
$109$	−1.54804	−	3.38975i	−0.148276	−	0.324679i	0.820891	−	0.571085i	$-0.193477\pi$
$109$	−1.54804	−	3.38975i	−0.148276	−	0.324679i	−0.969167	+	0.246407i	$0.920750\pi$
$110$	−15.9078	+	11.0068i	−1.51675	+	1.04946i
$111$	1.33583	+	4.35290i	0.126791	+	0.413159i
$112$	−1.01202	+	2.17848i	−0.0956265	+	0.205847i
$113$	−2.93458	−	4.56629i	−0.276062	−	0.429560i	0.675343	−	0.737504i	$-0.263996\pi$
$113$	−2.93458	−	4.56629i	−0.276062	−	0.429560i	−0.951405	+	0.307943i	$0.900359\pi$
$114$	2.42796	−	4.19214i	0.227399	−	0.392630i
$115$	15.5793	+	6.08804i	1.45277	+	0.567713i
$116$	11.4795	+	15.4390i	1.06585	+	1.43348i
$117$	−3.69084	−	7.58789i	−0.341219	−	0.701501i
$118$	−12.0697	+	2.15741i	−1.11111	+	0.198605i
$119$	−0.0879052	+	0.192485i	−0.00805825	+	0.0176451i
$120$	6.65360	+	15.7376i	0.607387	+	1.43664i
$121$	1.82012	+	3.98552i	0.165466	+	0.362320i
$122$	−3.56068	+	5.97908i	−0.322369	+	0.541321i
$123$	−11.1929	+	13.2392i	−1.00923	+	1.19374i
$124$	0.363908	+	0.985427i	0.0326799	+	0.0884940i
$125$	−5.70465	−	4.94311i	−0.510240	−	0.442125i
$126$	0.921323	−	2.37537i	0.0820780	−	0.211615i
$127$	−2.61416	+	4.06771i	−0.231969	+	0.360951i	−0.937651	−	0.347578i	$-0.887004\pi$
$127$	−2.61416	+	4.06771i	−0.231969	+	0.360951i	0.705682	+	0.708529i	$0.250641\pi$
$128$	−0.532184	+	11.3012i	−0.0470388	+	0.998893i
$129$	5.16655	+	10.9585i	0.454889	+	0.964845i
$130$	6.18968	+	12.4157i	0.542871	+	1.08893i
$131$	−11.6519	−	13.4470i	−1.01803	−	1.17487i	−0.984491	−	0.175433i	$-0.943867\pi$
$131$	−11.6519	−	13.4470i	−1.01803	−	1.17487i	−0.0335397	−	0.999437i	$-0.510678\pi$
$132$	13.2492	−	3.00613i	1.15319	−	0.261650i
$133$	1.13957	−	0.334607i	0.0988131	−	0.0290141i
$134$	1.12758	−	10.3303i	0.0974079	−	0.892402i
$135$	−8.12469	−	16.1995i	−0.699262	−	1.39423i
$136$	−0.0404206	+	0.995848i	−0.00346604	+	0.0853933i
$137$			8.69528i			0.742888i	0.928455	+	0.371444i	$0.121137\pi$
$137$			8.69528i			0.742888i	−0.928455	+	0.371444i	$0.878863\pi$
$138$	−8.55772	−	8.04769i	−0.728482	−	0.685065i
$139$			11.0744i			0.939319i	0.882848	+	0.469660i	$0.155623\pi$
$139$			11.0744i			0.939319i	−0.882848	+	0.469660i	$0.844377\pi$
$140$	−1.47660	+	3.92001i	−0.124795	+	0.331302i
$141$	−5.20426	−	7.88550i	−0.438278	−	0.664079i
$142$	14.8191	+	1.61754i	1.24359	+	0.135741i
$143$	10.5841	−	3.10778i	0.885088	−	0.259885i
$144$	−0.213951	−	11.9981i	−0.0178293	−	0.999841i
$145$	21.9708	+	25.3557i	1.82458	+	2.10568i
$146$	−12.8078	+	6.38514i	−1.05998	+	0.528438i
$147$	−10.4017	+	4.90401i	−0.857915	+	0.404476i
$148$	−0.392090	+	5.24301i	−0.0322296	+	0.430973i
$149$	6.27379	−	9.76220i	0.513969	−	0.799751i	−0.483156	−	0.875534i	$-0.660510\pi$
$149$	6.27379	−	9.76220i	0.513969	−	0.799751i	0.997124	+	0.0757837i	$0.0241459\pi$
$150$	8.02005	+	15.6089i	0.654835	+	1.27446i
$151$	4.90449	+	4.24977i	0.399122	+	0.345841i	0.831179	−	0.556005i	$-0.187667\pi$
$151$	4.90449	+	4.24977i	0.399122	+	0.345841i	−0.432057	+	0.901846i	$0.642212\pi$
$152$	4.37269	−	3.48878i	0.354672	−	0.282977i
$153$	−0.0257063	−	1.05681i	−0.00207823	−	0.0854383i
$154$	2.86172	+	1.70422i	0.230604	+	0.137330i
$155$	0.760992	+	1.66634i	0.0611244	+	0.133844i
$156$	−0.781689	−	9.71186i	−0.0625852	−	0.777571i
$157$	8.01598	−	17.5525i	0.639745	−	1.40085i	−0.260505	−	0.965472i	$-0.583889\pi$
$157$	8.01598	−	17.5525i	0.639745	−	1.40085i	0.900250	−	0.435373i	$-0.143384\pi$
$158$	4.02546	+	22.5207i	0.320249	+	1.79165i
$159$	2.87345	+	0.805900i	0.227879	+	0.0639121i
$160$	0.544236	+	19.7221i	0.0430257	+	1.55917i
$161$	−0.160814	−	2.87549i	−0.0126739	−	0.226621i
$162$	1.05161	+	12.6844i	0.0826223	+	0.996581i
$163$	−0.366445	−	0.570200i	−0.0287022	−	0.0446615i	0.826606	−	0.562781i	$-0.190269\pi$
$163$	−0.366445	−	0.570200i	−0.0287022	−	0.0446615i	−0.855308	+	0.518120i	$0.826632\pi$
$164$	−17.6010	+	9.53685i	−1.37440	+	0.744703i
$165$	22.6495	−	6.95073i	1.76326	−	0.541114i
$166$	−13.6746	−	19.7636i	−1.06136	−	1.53395i
$167$	−2.28507	−	5.00361i	−0.176824	−	0.387191i	0.800380	−	0.599493i	$-0.204631\pi$
$167$	−2.28507	−	5.00361i	−0.176824	−	0.387191i	−0.977204	+	0.212302i	$0.931904\pi$
$168$	1.98893	−	2.16774i	0.153449	−	0.167245i
$169$	0.724250	+	5.03727i	0.0557115	+	0.387482i
$170$	0.0592172	+	1.73705i	0.00454176	+	0.133225i
$171$	−4.38825	+	3.99335i	−0.335578	+	0.305379i
$172$	0.952729	+	13.9572i	0.0726449	+	1.06422i
$173$	−6.56351	+	10.2130i	−0.499015	+	0.776482i	−0.995816	−	0.0913823i	$-0.970871\pi$
$173$	−6.56351	+	10.2130i	−0.499015	+	0.776482i	0.496801	+	0.867864i	$0.334508\pi$
$174$	−7.67635	−	22.2775i	−0.581943	−	1.68885i
$175$	−1.21209	+	4.12800i	−0.0916254	+	0.312047i
$176$	15.5132	+	2.33331i	1.16935	+	0.175880i
$177$	14.8887	+	1.95620i	1.11910	+	0.147037i
$178$	7.84506	+	8.45364i	0.588012	+	0.633627i
$179$	−16.2407	+	4.76870i	−1.21389	+	0.356429i	−0.825147	−	0.564918i	$-0.808908\pi$
$179$	−16.2407	+	4.76870i	−1.21389	+	0.356429i	−0.388740	+	0.921348i	$0.627090\pi$
$180$	−1.93240	−	20.8370i	−0.144033	−	1.55310i
$181$	2.76411	−	19.2248i	0.205455	−	1.42897i	−0.582296	−	0.812977i	$-0.697846\pi$
$181$	2.76411	−	19.2248i	0.205455	−	1.42897i	0.787751	−	0.615994i	$-0.211245\pi$
$182$	1.50183	−	1.85748i	0.111323	−	0.137686i
$183$	6.37292	−	5.65930i	0.471100	−	0.418347i
$184$	−5.82309	−	12.2512i	−0.429284	−	0.903170i
$185$			9.16863i			0.674091i
$186$	−0.0594660	−	1.28519i	−0.00436026	−	0.0942345i
$187$	1.36792	+	0.196677i	0.100032	+	0.0143825i
$188$	−2.28441	−	10.6678i	−0.166608	−	0.778029i
$189$	−1.95605	+	2.43119i	−0.142282	+	0.176843i
$190$	7.15044	−	6.63567i	0.518748	−	0.481402i
$191$	−12.6982	−	14.6546i	−0.918813	−	1.06037i	−0.997982	−	0.0635052i	$-0.979772\pi$
$191$	−12.6982	−	14.6546i	−0.918813	−	1.06037i	0.0791688	−	0.996861i	$-0.474773\pi$
$192$	4.81081	−	12.9945i	0.347190	−	0.937795i
$193$	−10.0032	−	2.93722i	−0.720049	−	0.211425i	−0.0988768	−	0.995100i	$-0.531525\pi$
$193$	−10.0032	−	2.93722i	−0.720049	−	0.211425i	−0.621172	+	0.783674i	$0.713343\pi$
$194$	−13.1844	−	5.48623i	−0.946585	−	0.393889i
$195$	−2.62238	−	16.7873i	−0.187793	−	1.20217i
$196$	−13.2479	+	0.904315i	−0.946280	+	0.0645940i
$197$	10.0535	+	8.71145i	0.716285	+	0.620665i	0.934802	−	0.355168i	$-0.115576\pi$
$197$	10.0535	+	8.71145i	0.716285	+	0.620665i	−0.218517	+	0.975833i	$0.570122\pi$
$198$	−16.5801	−	1.40273i	−1.17829	−	0.0996879i
$199$	12.6819	−	1.82338i	0.898993	−	0.129256i	0.322702	−	0.946500i	$-0.395409\pi$
$199$	12.6819	−	1.82338i	0.898993	−	0.129256i	0.576291	+	0.817245i	$0.304500\pi$
$200$	2.06799	+	20.1578i	0.146229	+	1.42537i
$201$	−5.14588	+	11.6404i	−0.362962	+	0.821053i
$202$	−13.3397	+	9.22985i	−0.938575	+	0.649410i
$203$	2.39974	−	5.25469i	0.168428	−	0.368807i
$204$	0.416365	−	1.14746i	0.0291514	−	0.0803382i
$205$	−29.3680	+	18.8736i	−2.05115	+	1.31819i
$206$	−8.38347	+	2.77519i	−0.584104	+	0.193357i
$207$	7.00589	+	12.5665i	0.486943	+	0.873434i
$208$	3.23963	−	10.7740i	0.224628	−	0.747045i
$209$	−4.19353	−	6.52525i	−0.290072	−	0.451361i
$210$	3.17685	−	4.02838i	0.219223	−	0.277985i
$211$	−23.8241	−	10.8801i	−1.64012	−	0.749018i	−0.640302	−	0.768123i	$-0.721191\pi$
$211$	−23.8241	−	10.8801i	−1.64012	−	0.749018i	−0.999817	+	0.0191055i	$0.993918\pi$
$212$	2.75195	+	2.07405i	0.189005	+	0.142446i
$213$	−16.6986	−	7.38192i	−1.14417	−	0.505801i
$214$	5.65824	−	9.50129i	0.386789	−	0.649495i
$215$	3.47192	+	24.1477i	0.236783	+	1.64686i
$216$	−4.19821	+	14.0846i	−0.285652	+	0.958333i
$217$	0.206553	−	0.238375i	0.0140217	−	0.0161819i
$218$	−1.31160	+	5.10425i	−0.0888331	+	0.345703i
$219$	17.3175	−	2.70519i	1.17021	−	0.182800i
$220$	27.2810	+	2.04017i	1.83929	+	0.137548i
$221$	0.279226	−	0.950958i	0.0187828	−	0.0639683i
$222$	2.40138	−	5.97476i	0.161170	−	0.400999i
$223$	−4.98752	+	4.32171i	−0.333989	+	0.289403i	−0.805668	−	0.592367i	$-0.798193\pi$
$223$	−4.98752	+	4.32171i	−0.333989	+	0.289403i	0.471679	+	0.881770i	$0.343648\pi$
$224$	3.04996	−	1.49589i	0.203784	−	0.0999481i
$225$	−3.57516	−	21.1933i	−0.238344	−	1.41289i
$226$	−0.832939	+	7.63097i	−0.0554063	+	0.507605i
$227$	0.591735	−	4.11561i	0.0392748	−	0.273163i	−0.960716	−	0.277535i	$-0.910483\pi$
$227$	0.591735	−	4.11561i	0.0392748	−	0.273163i	0.999990	+	0.00437220i	$0.00139172\pi$
$228$	−6.39757	+	2.45136i	−0.423689	+	0.162345i
$229$	−20.0204			−1.32298			−0.661492	−	0.749952i	$-0.730076\pi$
$229$	−20.0204			−1.32298			−0.661492	+	0.749952i	$0.730076\pi$
$230$	−11.7197	−	20.5476i	−0.772771	−	1.35487i
$231$	−2.70866	−	3.05022i	−0.178217	−	0.200690i
$232$	1.10345	−	27.1858i	0.0724450	−	1.78484i
$233$	0.753500	+	0.108337i	0.0493634	+	0.00709739i	0.166952	−	0.985965i	$-0.446607\pi$
$233$	0.753500	+	0.108337i	0.0493634	+	0.00709739i	−0.117589	+	0.993062i	$0.537517\pi$
$234$	−2.68794	+	11.6263i	−0.175716	+	0.760038i
$235$	−5.35995	−	18.2543i	−0.349645	−	1.19078i
$236$	15.1917	+	8.35937i	0.988892	+	0.544149i
$237$	3.65003	−	27.7805i	0.237095	−	1.80454i
$238$	0.267822	−	0.133519i	0.0173603	−	0.00865476i
$239$	12.6260	+	3.70732i	0.816706	+	0.239806i	0.663297	−	0.748356i	$-0.269157\pi$
$239$	12.6260	+	3.70732i	0.816706	+	0.239806i	0.153409	+	0.988163i	$0.450975\pi$
$240$	6.67612	−	23.2231i	0.430942	−	1.49905i
$241$	−6.19492	−	3.98123i	−0.399050	−	0.256454i	0.325690	−	0.945477i	$-0.394404\pi$
$241$	−6.19492	−	3.98123i	−0.399050	−	0.256454i	−0.724740	+	0.689023i	$0.758040\pi$
$242$	1.54213	−	6.00135i	0.0991318	−	0.385781i
$243$	3.47485	−	15.1962i	0.222912	−	0.974839i
$244$	9.23213	−	3.40933i	0.591027	−	0.218260i
$245$	−22.9207	+	3.29549i	−1.46435	+	0.210541i
$246$	24.0809	−	4.60720i	1.53534	−	0.293744i
$247$	−5.06001	+	2.31083i	−0.321961	+	0.147035i
$248$	0.476005	−	1.40727i	0.0302263	−	0.0893618i
$249$	8.63546	+	28.1393i	0.547250	+	1.78326i
$250$	1.87833	+	10.5084i	0.118796	+	0.664610i
$251$	7.55357	−	4.85438i	0.476777	−	0.306406i	−0.280091	−	0.959973i	$-0.590365\pi$
$251$	7.55357	−	4.85438i	0.476777	−	0.306406i	0.756868	+	0.653567i	$0.226728\pi$
$252$	−3.12528	+	1.79305i	−0.196874	+	0.112951i
$253$	−17.7229	+	6.29852i	−1.11423	+	0.395985i
$254$	6.49170	−	2.14895i	0.407326	−	0.134837i
$255$	0.574837	−	2.04959i	0.0359977	−	0.128350i
$256$	10.6338	−	11.9550i	0.664614	−	0.747187i
$257$	8.03036	+	3.66734i	0.500920	+	0.228763i	0.649818	−	0.760090i	$-0.274845\pi$
$257$	8.03036	+	3.66734i	0.500920	+	0.228763i	−0.148898	+	0.988853i	$0.547572\pi$
$258$	4.06212	−	16.6453i	0.252896	−	1.03629i
$259$	1.43600	−	0.655799i	0.0892287	−	0.0407494i
$260$	4.23259	−	19.1574i	0.262494	−	1.18809i
$261$	0.701759	+	28.8501i	0.0434378	+	1.78578i
$262$	0.857329	+	25.1484i	0.0529660	+	1.55367i
$263$	−16.6504	+	19.2156i	−1.02671	+	1.18488i	−0.0441307	+	0.999026i	$0.514052\pi$
$263$	−16.6504	+	19.2156i	−1.02671	+	1.18488i	−0.982577	+	0.185858i	$0.940494\pi$
$264$	−17.2434	−	8.47473i	−1.06126	−	0.521583i
$265$	5.05539	+	3.24890i	0.310550	+	0.199578i
$266$	−1.55073	−	0.645283i	−0.0950814	−	0.0395648i
$267$	−6.02350	−	12.7762i	−0.368632	−	0.781890i
$268$	−10.4253	+	10.3579i	−0.636828	+	0.632708i
$269$	2.42388	−	2.10030i	0.147786	−	0.128058i	−0.577830	−	0.816157i	$-0.696100\pi$
$269$	2.42388	−	2.10030i	0.147786	−	0.128058i	0.725616	+	0.688100i	$0.241555\pi$
$270$	−5.46905	+	25.0392i	−0.332835	+	1.52383i
$271$	−1.80484	−	6.14671i	−0.109636	−	0.373386i	0.886337	−	0.463041i	$-0.153242\pi$
$271$	−1.80484	−	6.14671i	−0.109636	−	0.373386i	−0.995973	+	0.0896551i	$0.971424\pi$
$272$	0.929920	−	1.05922i	0.0563847	−	0.0642245i
$273$	−2.44168	+	1.61146i	−0.147777	+	0.0975298i
$274$	7.73150	−	9.56241i	0.467077	−	0.577686i
$275$	28.0976			1.69435
$276$	2.25545	+	16.4594i	0.135762	+	0.990741i
$277$	10.5558			0.634234			0.317117	−	0.948386i	$-0.397285\pi$
$277$	10.5558			0.634234			0.317117	+	0.948386i	$0.397285\pi$
$278$	9.84693	−	12.1788i	0.590580	−	0.730436i
$279$	−0.407033	+	1.52223i	−0.0243684	+	0.0911336i
$280$	5.10937	−	2.99800i	0.305343	−	0.179165i
$281$	1.59444	+	5.43016i	0.0951162	+	0.323936i	0.993282	−	0.115721i	$-0.0369180\pi$
$281$	1.59444	+	5.43016i	0.0951162	+	0.323936i	−0.898165	+	0.439658i	$0.855100\pi$
$282$	−1.28822	+	13.2993i	−0.0767122	+	0.791962i
$283$	−14.5403	+	12.5993i	−0.864333	+	0.748949i	−0.969392	−	0.245517i	$-0.921042\pi$
$283$	−14.5403	+	12.5993i	−0.864333	+	0.748949i	0.105059	+	0.994466i	$0.466497\pi$
$284$	−14.8587	−	14.9554i	−0.881702	−	0.887442i
$285$	−10.8066	+	5.09493i	−0.640129	+	0.301798i
$286$	−14.4029	−	5.99328i	−0.851662	−	0.354390i
$287$	5.05659	+	3.24967i	0.298481	+	0.191822i
$288$	−10.4329	+	13.3848i	−0.614767	+	0.788709i
$289$	−11.0513	+	12.7539i	−0.650078	+	0.750230i
$290$	−1.61658	−	47.4199i	−0.0949289	−	2.78459i
$291$	13.3562	+	11.2918i	0.782951	+	0.661935i
$292$	19.7624	+	4.36625i	1.15651	+	0.255516i
$293$	9.39826	−	4.29204i	0.549052	−	0.250744i	−0.121519	−	0.992589i	$-0.538776\pi$
$293$	9.39826	−	4.29204i	0.549052	−	0.250744i	0.670571	+	0.741845i	$0.266049\pi$
$294$	15.7994	+	3.85570i	0.921441	+	0.224869i
$295$	27.5055	+	12.5614i	1.60143	+	0.731351i
$296$	5.09307	−	5.41724i	0.296029	−	0.314870i
$297$	18.8337	+	7.78399i	1.09284	+	0.451673i
$298$	−15.5796	+	5.15733i	−0.902502	+	0.298756i
$299$	2.66222	+	13.2236i	0.153960	+	0.764742i
$300$	5.05898	−	24.2966i	0.292080	−	1.40277i
$301$	3.53370	−	2.27097i	0.203679	−	0.130897i
$302$	−1.61487	−	9.03445i	−0.0929251	−	0.519874i
$303$	18.9930	−	5.82861i	1.09112	−	0.334845i
$304$	−7.91084	−	0.0513365i	−0.453718	−	0.00294435i
$305$	15.6114	−	7.12948i	0.893905	−	0.408233i
$306$	−0.911407	+	1.18506i	−0.0521017	+	0.0677454i
$307$	7.20952	−	1.03657i	0.411469	−	0.0591603i	0.0665276	−	0.997785i	$-0.478808\pi$
$307$	7.20952	−	1.03657i	0.411469	−	0.0591603i	0.344941	+	0.938624i	$0.387899\pi$
$308$	−1.63178	−	4.41870i	−0.0929792	−	0.251779i
$309$	10.8148	−	0.131511i	0.615230	−	0.00748142i
$310$	0.644762	−	2.50916i	0.0366200	−	0.142511i
$311$	1.70175	+	1.09365i	0.0964975	+	0.0620152i	0.588000	−	0.808861i	$-0.299916\pi$
$311$	1.70175	+	1.09365i	0.0964975	+	0.0620152i	−0.491502	+	0.870876i	$0.663552\pi$
$312$	−7.77576	+	11.3754i	−0.440216	+	0.644006i
$313$	17.1897	+	5.04736i	0.971620	+	0.285293i	0.728761	−	0.684768i	$-0.240097\pi$
$313$	17.1897	+	5.04736i	0.971620	+	0.285293i	0.242859	+	0.970062i	$0.421915\pi$
$314$	−24.4224	+	12.1755i	−1.37824	+	0.687102i
$315$	−5.20171	+	3.52456i	−0.293083	+	0.198587i
$316$	15.5976	−	28.3458i	0.877433	−	1.59458i
$317$	−0.680179	−	2.31648i	−0.0382027	−	0.130106i	0.938184	−	0.346137i	$-0.112507\pi$
$317$	−0.680179	−	2.31648i	−0.0382027	−	0.130106i	−0.976386	+	0.216031i	$0.930689\pi$
$318$	−2.44342	−	3.44122i	−0.137020	−	0.192974i
$319$	−37.3431	−	5.36913i	−2.09081	−	0.300613i
$320$	16.9376	−	22.1728i	0.946839	−	1.23949i
$321$	−10.1271	+	8.99313i	−0.565242	+	0.501948i
$322$	−2.37992	+	3.30524i	−0.132628	+	0.184194i
$323$	−0.696911			−0.0387772
$324$	10.1220	−	14.8844i	0.562333	−	0.826911i
$325$	2.86771	−	19.9454i	0.159072	−	1.10637i
$326$	−0.104010	+	0.952891i	−0.00576061	+	0.0527758i
$327$	3.42328	−	5.47189i	0.189308	−	0.302596i
$328$	27.8360	+	5.16218i	1.53699	+	0.285034i
$329$	−2.47563	+	2.14514i	−0.136486	+	0.118266i
$330$	−31.0885	−	12.4951i	−1.71137	−	0.687835i
$331$	−5.47735	+	18.6541i	−0.301062	+	1.02532i	0.660520	+	0.750808i	$0.270336\pi$
$331$	−5.47735	+	18.6541i	−0.301062	+	1.02532i	−0.961582	+	0.274516i	$0.911482\pi$
$332$	−2.53467	+	33.8934i	−0.139108	+	1.86014i
$333$	−5.01808	+	6.08403i	−0.274989	+	0.333403i
$334$	−1.93606	+	7.53439i	−0.105937	+	0.412264i
$335$	−16.7827	+	19.3683i	−0.916936	+	1.05820i
$336$	−4.11474	+	0.615445i	−0.224478	+	0.0335753i
$337$	−2.15322	−	14.9759i	−0.117293	−	0.815792i	−0.960515	−	0.278227i	$-0.910253\pi$
$337$	−2.15322	−	14.9759i	−0.117293	−	0.815792i	0.843222	−	0.537565i	$-0.180656\pi$
$338$	3.68246	−	6.18358i	0.200300	−	0.336342i
$339$	3.80125	−	8.59876i	0.206456	−	0.467021i
$340$	1.47939	−	1.96292i	0.0802311	−	0.106455i
$341$	−1.87379	−	0.855729i	−0.101471	−	0.0463403i
$342$	8.37659	−	0.489725i	0.452954	−	0.0264813i
$343$	4.42823	+	6.89046i	0.239102	+	0.372050i
$344$	11.3624	−	16.1962i	0.612621	−	0.873239i
$345$	6.06278	+	28.3298i	0.326409	+	1.52522i
$346$	16.2991	−	5.39550i	0.876244	−	0.290064i
$347$	−23.2279	+	14.9276i	−1.24694	+	0.801357i	−0.986441	−	0.164118i	$-0.947522\pi$
$347$	−23.2279	+	14.9276i	−1.24694	+	0.801357i	−0.260496	+	0.965475i	$0.583886\pi$
$348$	−11.3664	+	31.3246i	−0.609304	+	1.67918i
$349$	−9.01754	+	19.7457i	−0.482698	+	1.05696i	0.499015	+	0.866593i	$0.333695\pi$
$349$	−9.01754	+	19.7457i	−0.482698	+	1.05696i	−0.981713	+	0.190368i	$0.939032\pi$
$350$	5.00342	−	3.46192i	0.267444	−	0.185047i
$351$	7.44775	−	12.5748i	0.397531	−	0.671195i
$352$	−14.9855	−	16.3597i	−0.798732	−	0.871975i
$353$	−15.5532	+	2.23621i	−0.827813	+	0.119022i	−0.543181	−	0.839615i	$-0.682780\pi$
$353$	−15.5532	+	2.23621i	−0.827813	+	0.119022i	−0.284632	+	0.958637i	$0.591871\pi$
$354$	−14.6341	−	15.3897i	−0.777791	−	0.817953i
$355$	−27.7843	−	24.0753i	−1.47464	−	1.27778i
$356$	−1.11075	−	16.2722i	−0.0588699	−	0.862425i
$357$	−0.362124	+	0.0565681i	−0.0191656	+	0.00299390i
$358$	22.1004	+	9.19633i	1.16804	+	0.486041i
$359$	−5.07481	−	1.49010i	−0.267838	−	0.0786443i	0.145056	−	0.989423i	$-0.453664\pi$
$359$	−5.07481	−	1.49010i	−0.267838	−	0.0786443i	−0.412894	+	0.910779i	$0.635482\pi$
$360$	−16.4023	+	24.6331i	−0.864477	+	1.29828i
$361$	−9.88087	−	11.4031i	−0.520046	−	0.600165i
$362$	−20.1337	+	18.6843i	−1.05821	+	0.982024i
$363$	−4.02494	+	6.43361i	−0.211255	+	0.337677i
$364$	−3.30320	+	0.707350i	−0.173135	+	0.0370752i
$365$	34.9348	+	5.02287i	1.82857	+	0.262909i
$366$	−12.0405	+	0.557117i	−0.629366	+	0.0291210i
$367$		−	8.83580i		−	0.461225i	−0.973046	−	0.230613i	$-0.925927\pi$
$367$		−	8.83580i		−	0.461225i	0.973046	−	0.230613i	$-0.0740730\pi$
$368$	−4.48948	+	18.6506i	−0.234030	+	0.972229i
$369$	−29.8174	−	3.54940i	−1.55223	−	0.184774i
$370$	8.15239	−	10.0830i	0.423822	−	0.524189i
$371$	0.147252	−	1.02416i	0.00764495	−	0.0531718i
$372$	−1.07734	+	1.46623i	−0.0558576	+	0.0760203i
$373$	18.9959	−	5.57770i	0.983570	−	0.288802i	0.249873	−	0.968279i	$-0.419611\pi$
$373$	18.9959	−	5.57770i	0.983570	−	0.288802i	0.733697	+	0.679477i	$0.237793\pi$
$374$	−1.32946	−	1.43259i	−0.0687447	−	0.0740776i
$375$	1.70315	−	12.9627i	0.0879501	−	0.669391i
$376$	−6.97316	+	13.7629i	−0.359613	+	0.709765i
$377$	−7.62265	+	25.9603i	−0.392586	+	1.33703i
$378$	4.31283	−	0.934393i	0.221828	−	0.0480600i
$379$	−2.80724	+	4.36814i	−0.144198	+	0.224377i	−0.905838	−	0.423623i	$-0.860758\pi$
$379$	−2.80724	+	4.36814i	−0.144198	+	0.224377i	0.761640	+	0.648000i	$0.224394\pi$
$380$	−13.7637	+	0.939522i	−0.706063	+	0.0481965i
$381$	−8.37436	+	0.101835i	−0.429032	+	0.00521718i
$382$	0.934318	+	27.4067i	0.0478039	+	1.40225i
$383$	−5.34445	−	37.1715i	−0.273089	−	1.89937i	−0.415547	−	0.909572i	$-0.636410\pi$
$383$	−5.34445	−	37.1715i	−0.273089	−	1.89937i	0.142458	−	0.989801i	$-0.454499\pi$
$384$	−16.8447	+	10.0127i	−0.859604	+	0.510961i
$385$	−3.41232	−	7.47195i	−0.173908	−	0.380806i
$386$	8.38915	+	12.1246i	0.426996	+	0.617126i
$387$	−10.9124	+	17.9239i	−0.554710	+	0.911124i
$388$	9.62107	+	17.7564i	0.488436	+	0.901444i
$389$	5.23715	+	8.14916i	0.265534	+	0.413179i	0.948260	−	0.317496i	$-0.102842\pi$
$389$	5.23715	+	8.14916i	0.265534	+	0.413179i	−0.682726	+	0.730675i	$0.739206\pi$
$390$	−12.0427	+	20.7932i	−0.609808	+	1.05290i
$391$	−0.384825	+	1.64553i	−0.0194615	+	0.0832182i
$392$	15.3731	+	10.7850i	0.776461	+	0.544726i
$393$	8.32232	−	29.6733i	0.419805	−	1.49682i
$394$	−3.31025	−	18.5194i	−0.166768	−	0.932994i
$395$	23.4380	−	51.3221i	1.17929	−	2.58229i
$396$	16.9862	+	16.2850i	0.853591	+	0.818350i
$397$	6.44643	+	14.1157i	0.323537	+	0.708448i	0.999597	−	0.0283994i	$-0.00904101\pi$
$397$	6.44643	+	14.1157i	0.323537	+	0.708448i	−0.676059	+	0.736847i	$0.736314\pi$
$398$	−15.5678	−	9.27100i	−0.780344	−	0.464713i
$399$	1.57093	+	1.32812i	0.0786449	+	0.0664892i
$400$	15.6493	−	24.0068i	0.782464	−	1.20034i
$401$	−3.16775	−	2.74487i	−0.158190	−	0.137072i	0.572169	−	0.820135i	$-0.306102\pi$
$401$	−3.16775	−	2.74487i	−0.158190	−	0.137072i	−0.730359	+	0.683063i	$0.760647\pi$
$402$	16.0093	−	8.22576i	0.798469	−	0.410263i
$403$	−0.798690	+	1.24279i	−0.0397856	+	0.0619075i
$404$	22.8768	+	1.71080i	1.13816	+	0.0851156i
$405$	15.6665	−	27.2005i	0.778476	−	1.35160i
$406$	−7.31131	+	3.64496i	−0.362854	+	0.180896i
$407$	−6.75165	−	7.79181i	−0.334667	−	0.386226i
$408$	−1.47816	+	0.891672i	−0.0731799	+	0.0441444i
$409$	5.36573	−	1.57552i	0.265318	−	0.0779045i	−0.146368	−	0.989230i	$-0.546758\pi$
$409$	5.36573	−	1.57552i	0.265318	−	0.0779045i	0.411686	+	0.911326i	$0.364940\pi$
$410$	49.0784	+	5.35703i	2.42381	+	0.264565i
$411$	−12.5699	+	8.29586i	−0.620027	+	0.409205i
$412$	11.6871	+	4.40231i	0.575782	+	0.216886i
$413$		−	5.20641i		−	0.256191i
$414$	3.46911	−	20.0491i	0.170498	−	0.985358i
$415$			59.2706i			2.90948i
$416$	−13.1425	+	8.96791i	−0.644366	+	0.439688i
$417$	−16.0092	+	10.5657i	−0.783972	+	0.517405i
$418$	−1.19028	+	10.9047i	−0.0582183	+	0.533366i
$419$	6.34771	−	1.86386i	0.310106	−	0.0910553i	−0.122977	−	0.992410i	$-0.539244\pi$
$419$	6.34771	−	1.86386i	0.310106	−	0.0910553i	0.433083	+	0.901354i	$0.357426\pi$
$420$	−7.07554	+	1.60538i	−0.345251	+	0.0783347i
$421$	4.11692	+	4.75118i	0.200647	+	0.231559i	0.847152	−	0.531351i	$-0.178316\pi$
$421$	4.11692	+	4.75118i	0.200647	+	0.231559i	−0.646505	+	0.762910i	$0.723770\pi$
$422$	16.5258	+	33.1486i	0.804463	+	1.61365i
$423$	6.43406	−	15.0466i	0.312835	−	0.731589i
$424$	−1.18222	−	4.72781i	−0.0574137	−	0.229603i
$425$	1.36485	−	2.12375i	0.0662050	−	0.103017i
$426$	11.8001	+	22.9658i	0.571717	+	1.11270i
$427$	−2.23325	−	1.93512i	−0.108075	−	0.0936471i
$428$	−14.6707	+	5.41772i	−0.709134	+	0.261875i
$429$	14.5905	+	12.3354i	0.704438	+	0.595557i
$430$	17.6531	−	29.6429i	0.851306	−	1.42951i
$431$	−8.45883	−	18.5222i	−0.407447	−	0.892185i	−0.996461	−	0.0840619i	$-0.973211\pi$
$431$	−8.45883	−	18.5222i	−0.407447	−	0.892185i	0.589013	−	0.808123i	$-0.299517\pi$
$432$	17.1403	−	11.7563i	0.824664	−	0.565623i
$433$	0.417975	−	0.915238i	0.0200866	−	0.0439836i	−0.899323	−	0.437285i	$-0.855940\pi$
$433$	0.417975	−	0.915238i	0.0200866	−	0.0439836i	0.919409	+	0.393302i	$0.128667\pi$
$434$	−0.439104	+	0.0784878i	−0.0210777	+	0.00376753i
$435$	−15.6926	+	55.9520i	−0.752401	+	2.68269i
$436$	5.98090	−	4.44704i	0.286433	−	0.212974i
$437$	8.39435	−	4.41581i	0.401556	−	0.211237i
$438$	−21.4498	−	12.4230i	−1.02491	−	0.593596i
$439$	−9.49129	−	14.7687i	−0.452995	−	0.704873i	0.537372	−	0.843345i	$-0.319417\pi$
$439$	−9.49129	−	14.7687i	−0.452995	−	0.704873i	−0.990366	+	0.138472i	$0.955781\pi$
$440$	−28.1876	−	26.5008i	−1.34379	−	1.26338i
$441$	−17.0131	−	10.3579i	−0.810148	−	0.493234i
$442$	−1.15263	+	0.797514i	−0.0548248	+	0.0379339i
$443$	1.11372	+	2.43870i	0.0529142	+	0.115866i	0.934242	−	0.356639i	$-0.116077\pi$
$443$	1.11372	+	2.43870i	0.0529142	+	0.115866i	−0.881328	+	0.472505i	$0.843350\pi$
$444$	−7.95338	+	4.43537i	−0.377451	+	0.210493i
$445$	−4.04780	−	28.1530i	−0.191884	−	1.33458i
$446$	9.32758	−	0.317985i	0.441674	−	0.0150570i
$447$	20.0978	−	0.244397i	0.950595	−	0.0115596i
$448$	−4.68420	−	1.06684i	−0.221308	−	0.0504035i
$449$	−9.22360	+	14.3522i	−0.435288	+	0.677322i	−0.987720	−	0.156236i	$-0.950064\pi$
$449$	−9.22360	+	14.3522i	−0.435288	+	0.677322i	0.552431	+	0.833558i	$0.313700\pi$
$450$	−14.9126	+	26.4857i	−0.702986	+	1.24855i
$451$	11.0596	−	37.6656i	0.520777	−	1.77360i
$452$	7.70116	−	7.65135i	0.362232	−	0.359889i
$453$	−1.46425	+	11.1445i	−0.0687967	+	0.523614i
$454$	−4.31018	+	3.99989i	−0.202287	+	0.187724i
$455$	−5.65230	+	1.65966i	−0.264984	+	0.0778063i
$456$	9.21521	+	2.99265i	0.431542	+	0.140144i
$457$	2.97790	−	20.7118i	0.139300	−	0.968855i	−0.793528	−	0.608534i	$-0.791758\pi$
$457$	2.97790	−	20.7118i	0.139300	−	0.968855i	0.932828	−	0.360321i	$-0.117333\pi$
$458$	22.0169	+	17.8013i	1.02878	+	0.831802i
$459$	1.50320	−	1.04543i	0.0701636	−	0.0487965i
$460$	−5.38175	+	33.0174i	−0.250925	+	1.53944i
$461$		−	27.8083i		−	1.29516i	−0.761996	−	0.647582i	$-0.775780\pi$
$461$		−	27.8083i		−	1.29516i	0.761996	−	0.647582i	$-0.224220\pi$
$462$	0.266649	+	5.76284i	0.0124056	+	0.268112i
$463$	3.20439	+	0.460722i	0.148921	+	0.0214116i	0.216372	−	0.976311i	$-0.430578\pi$
$463$	3.20439	+	0.460722i	0.148921	+	0.0214116i	−0.0674512	+	0.997723i	$0.521487\pi$
$464$	−25.3860	+	28.9158i	−1.17852	+	1.34238i
$465$	−1.68283	+	2.68989i	−0.0780391	+	0.124741i
$466$	−0.732313	−	0.789123i	−0.0339238	−	0.0365554i
$467$	−4.85354	−	5.60129i	−0.224595	−	0.259197i	0.632257	−	0.774759i	$-0.282129\pi$
$467$	−4.85354	−	5.60129i	−0.224595	−	0.259197i	−0.856852	+	0.515562i	$0.827583\pi$
$468$	13.2937	−	10.3958i	0.614500	−	0.480544i
$469$	4.23388	+	1.24318i	0.195502	+	0.0574046i
$470$	−10.3365	+	24.8406i	−0.476789	+	1.14581i
$471$	33.0217	−	5.15838i	1.52156	−	0.237686i
$472$	−9.27381	−	22.7008i	−0.426862	−	1.04489i
$473$	−20.7326	−	17.9649i	−0.953285	−	0.826026i
$474$	−28.7153	+	27.3054i	−1.31894	+	1.25418i
$475$	−14.0249	+	2.01648i	−0.643506	+	0.0925223i
$476$	−0.413250	−	0.0913024i	−0.0189413	−	0.00418484i
$477$	1.57645	+	4.92274i	0.0721806	+	0.225397i
$478$	−10.5887	−	15.3035i	−0.484315	−	0.699967i
$479$	−10.9905	+	24.0658i	−0.502168	+	1.09960i	0.473590	+	0.880745i	$0.342958\pi$
$479$	−10.9905	+	24.0658i	−0.502168	+	1.09960i	−0.975759	+	0.218850i	$0.929769\pi$
$480$	−27.9910	+	19.6029i	−1.27761	+	0.894746i
$481$	−6.22018	+	3.99746i	−0.283616	+	0.182269i
$482$	3.27275	+	9.88654i	0.149070	+	0.450319i
$483$	4.00339	−	2.97588i	0.182160	−	0.135407i
$484$	−7.03208	+	5.22863i	−0.319640	+	0.237665i
$485$	19.0403	+	29.6273i	0.864576	+	1.34531i
$486$	−17.3333	+	13.6220i	−0.786253	+	0.617905i
$487$	22.6111	+	10.3262i	1.02461	+	0.467923i	0.855570	−	0.517687i	$-0.173207\pi$
$487$	22.6111	+	10.3262i	1.02461	+	0.467923i	0.169038	+	0.985610i	$0.445934\pi$
$488$	−13.1842	−	4.45953i	−0.596823	−	0.201873i
$489$	0.474668	−	1.07374i	0.0214652	−	0.0485562i
$490$	28.1366	+	16.7560i	1.27108	+	0.756959i
$491$	−1.26814	−	8.82011i	−0.0572303	−	0.398046i	−0.998221	−	0.0596146i	$-0.981013\pi$
$491$	−1.26814	−	8.82011i	−0.0572303	−	0.398046i	0.940991	−	0.338431i	$-0.109896\pi$
$492$	−30.5789	−	16.3452i	−1.37860	−	0.736897i
$493$	−2.21978	+	2.56176i	−0.0999737	+	0.115376i
$494$	7.61931	+	1.95789i	0.342809	+	0.0880894i
$495$	31.6571	+	26.1106i	1.42288	+	1.17359i
$496$	−1.77476	+	1.12436i	−0.0796892	+	0.0504855i
$497$	−1.78338	+	6.07362i	−0.0799954	+	0.272439i
$498$	15.5237	−	38.6238i	0.695635	−	1.73077i
$499$	−25.1151	+	21.7624i	−1.12431	+	0.974218i	−0.999838	−	0.0180055i	$-0.994268\pi$
$499$	−25.1151	+	21.7624i	−1.12431	+	0.974218i	−0.124470	+	0.992223i	$0.539723\pi$
$500$	7.27802	−	13.2265i	0.325483	−	0.591507i
$501$	5.05311	−	8.07708i	0.225756	−	0.360857i
$502$	−12.6232	−	1.37785i	−0.563400	−	0.0614965i
$503$	3.30836	−	23.0101i	0.147512	−	1.02597i	−0.772762	−	0.634696i	$-0.781125\pi$
$503$	3.30836	−	23.0101i	0.147512	−	1.02597i	0.920274	−	0.391274i	$-0.127966\pi$
$504$	5.03126	+	0.807023i	0.224110	+	0.0359477i
$505$	40.0054			1.78022
$506$	25.0907	+	8.83189i	1.11542	+	0.392625i
$507$	−6.59089	+	5.85286i	−0.292712	+	0.259935i
$508$	−9.04985	−	3.40891i	−0.401522	−	0.151246i
$509$	−13.0074	−	1.87019i	−0.576545	−	0.0828946i	−0.152127	−	0.988361i	$-0.548612\pi$
$509$	−13.0074	−	1.87019i	−0.576545	−	0.0828946i	−0.424418	+	0.905466i	$0.639521\pi$
$510$	−2.45458	+	1.74286i	−0.108690	+	0.0771751i
$511$	−1.71207	−	5.83079i	−0.0757377	−	0.257939i
$512$	−22.3242	+	3.69202i	−0.986599	+	0.163166i
$513$	−9.95945	−	2.53373i	−0.439721	−	0.111867i
$514$	−5.57033	−	11.1733i	−0.245697	−	0.492835i
$515$	20.8965	+	6.13576i	0.920809	+	0.270374i
$516$	−19.2675	+	14.6933i	−0.848205	+	0.646837i
$517$	17.9973	+	11.5661i	0.791519	+	0.508678i
$518$	−2.16231	−	0.555636i	−0.0950066	−	0.0244132i
$519$	−21.0260	+	0.255683i	−0.922938	+	0.0112233i
$520$	−21.6887	+	17.3045i	−0.951114	+	0.758850i
$521$	20.7202	−	2.97912i	0.907771	−	0.130518i	0.327415	−	0.944881i	$-0.393823\pi$
$521$	20.7202	−	2.97912i	0.907771	−	0.130518i	0.580356	+	0.814363i	$0.302913\pi$
$522$	24.8806	−	32.3512i	1.08900	−	1.41597i
$523$	37.2516	−	17.0123i	1.62890	−	0.743894i	0.629450	−	0.777041i	$-0.283280\pi$
$523$	37.2516	−	17.0123i	1.62890	−	0.743894i	0.999450	+	0.0331467i	$0.0105529\pi$
$524$	21.4181	−	28.4186i	0.935656	−	1.24147i
$525$	−7.12385	+	2.18618i	−0.310910	+	0.0954129i
$526$	35.3966	−	6.32697i	1.54336	−	0.275869i
$527$	−0.155700	+	0.100062i	−0.00678239	+	0.00435877i
$528$	11.4276	+	24.6520i	0.497321	+	1.07284i
$529$	−5.79129	−	22.2590i	−0.251795	−	0.967781i
$530$	−2.67074	−	8.06795i	−0.116010	−	0.350449i
$531$	11.3769	+	23.3894i	0.493715	+	1.01501i
$532$	1.13162	+	2.08848i	0.0490618	+	0.0905471i
$533$	−25.6085	−	11.6950i	−1.10923	−	0.506567i
$534$	−4.73589	+	19.4061i	−0.204942	+	0.839786i
$535$	−24.8079	+	11.3294i	−1.07254	+	0.489812i
$536$	20.6748	−	2.12104i	0.893015	−	0.0916148i
$537$	−22.3883	−	18.9279i	−0.966128	−	0.816799i
$538$	−4.53310	+	0.154537i	−0.195436	+	0.00666256i
$539$	17.0520	−	19.6790i	0.734481	−	0.847636i
$540$	28.2783	−	22.6733i	1.21690	−	0.975704i
$541$	9.85680	+	6.33458i	0.423777	+	0.272345i	0.735099	−	0.677960i	$-0.237136\pi$
$541$	9.85680	+	6.33458i	0.423777	+	0.272345i	−0.311322	+	0.950304i	$0.600772\pi$
$542$	−3.48059	+	8.36447i	−0.149504	+	0.359285i
$543$	30.4286	−	14.3459i	1.30581	−	0.615644i
$544$	−1.96447	+	0.337999i	−0.0842260	+	0.0144916i
$545$	9.82250	−	8.51124i	0.420750	−	0.364582i
$546$	4.11802	+	0.398886i	0.176235	+	0.0170707i
$547$	−0.315096	−	1.07312i	−0.0134725	−	0.0458832i	0.952482	−	0.304594i	$-0.0985206\pi$
$547$	−0.315096	−	1.07312i	−0.0134725	−	0.0458832i	−0.965955	+	0.258710i	$0.916702\pi$
$548$	−17.0050	+	3.64147i	−0.726419	+	0.155556i
$549$	14.2613	+	3.81336i	0.608656	+	0.162750i
$550$	−30.8997	−	24.9833i	−1.31757	−	1.06529i
$551$	19.0251			0.810496
$552$	12.1547	−	20.1063i	0.517339	−	0.855781i
$553$	−9.71454			−0.413104
$554$	−11.6084	−	9.38576i	−0.493195	−	0.398763i
$555$	−13.2542	+	8.74748i	−0.562608	+	0.371310i
$556$	−21.6578	+	4.63782i	−0.918496	+	0.196688i
$557$	−10.0522	−	34.2347i	−0.425926	−	1.45057i	−0.841126	−	0.540839i	$-0.818107\pi$
$557$	−10.0522	−	34.2347i	−0.425926	−	1.45057i	0.415200	−	0.909730i	$-0.363711\pi$
$558$	1.80113	−	1.31212i	0.0762480	−	0.0555464i
$559$	−14.8685	+	12.8837i	−0.628872	+	0.544921i
$560$	−8.28460	−	1.24607i	−0.350088	−	0.0526561i
$561$	1.02077	+	2.16511i	0.0430969	+	0.0914110i
$562$	3.07484	−	7.38939i	0.129704	−	0.311703i
$563$	18.0695	+	11.6126i	0.761539	+	0.489411i	0.862860	−	0.505443i	$-0.168671\pi$
$563$	18.0695	+	11.6126i	0.761539	+	0.489411i	−0.101322	+	0.994854i	$0.532307\pi$
$564$	13.2419	−	13.4801i	0.557584	−	0.567616i
$565$	12.3973	−	14.3073i	0.521560	−	0.601912i
$566$	27.1931	−	0.927036i	1.14301	−	0.0389662i
$567$	−5.38073	−	0.508155i	−0.225969	−	0.0213405i
$568$	3.04269	+	29.6586i	0.127668	+	1.24445i
$569$	35.3045	−	16.1230i	1.48004	−	0.675913i	0.498453	−	0.866917i	$-0.333902\pi$
$569$	35.3045	−	16.1230i	1.48004	−	0.675913i	0.981589	+	0.191004i	$0.0611745\pi$
$570$	16.4145	+	4.00581i	0.687529	+	0.167785i
$571$	7.69626	+	3.51477i	0.322079	+	0.147088i	0.569892	−	0.821719i	$-0.306985\pi$
$571$	7.69626	+	3.51477i	0.322079	+	0.147088i	−0.247814	+	0.968808i	$0.579712\pi$
$572$	10.5103	+	19.3975i	0.439456	+	0.811049i
$573$	9.06966	−	32.3380i	0.378891	−	1.35094i
$574$	−2.67137	−	8.06986i	−0.111501	−	0.336830i
$575$	−2.98310	+	34.2288i	−0.124404	+	1.42744i
$576$	23.3746	−	5.44307i	0.973943	−	0.226794i
$577$	−33.0103	+	21.2144i	−1.37424	+	0.883169i	−0.999041	−	0.0437763i	$-0.986061\pi$
$577$	−33.0103	+	21.2144i	−1.37424	+	0.883169i	−0.375196	+	0.926945i	$0.622425\pi$
$578$	23.4937	−	4.19938i	0.977208	−	0.174671i
$579$	−5.29771	−	17.2630i	−0.220165	−	0.717425i
$580$	−40.3861	+	53.5862i	−1.67694	+	2.22505i
$581$	9.28301	−	4.23941i	0.385124	−	0.175880i
$582$	−4.64789	−	24.2936i	−0.192661	−	1.00700i
$583$	−6.68868	+	0.961687i	−0.277017	+	0.0398290i
$584$	−17.8509	−	22.3736i	−0.738676	−	0.925827i
$585$	21.7659	−	19.8071i	0.899908	−	0.818925i
$586$	−14.1518	−	3.63650i	−0.584606	−	0.150222i
$587$	23.9507	+	15.3922i	0.988553	+	0.635305i	0.931757	−	0.363081i	$-0.118275\pi$
$587$	23.9507	+	15.3922i	0.988553	+	0.635305i	0.0567956	+	0.998386i	$0.481912\pi$
$588$	−13.9467	−	18.2884i	−0.575151	−	0.754202i
$589$	0.996710	+	0.292660i	0.0410687	+	0.0120589i
$590$	−19.0795	−	38.2709i	−0.785489	−	1.57559i
$591$	−3.00152	+	22.8447i	−0.123466	+	0.939705i
$592$	−10.4178	+	1.42891i	−0.428168	+	0.0587279i
$593$	−1.11349	−	3.79221i	−0.0457256	−	0.155727i	0.933466	−	0.358667i	$-0.116769\pi$
$593$	−1.11349	−	3.79221i	−0.0457256	−	0.155727i	−0.979191	+	0.202940i	$0.934950\pi$
$594$	−13.7907	−	25.3064i	−0.565839	−	1.03834i
$595$	−0.730519	−	0.105033i	−0.0299484	−	0.00430593i
$596$	21.7190	+	8.18112i	0.889643	+	0.335112i
$597$	14.7352	+	16.5933i	0.603071	+	0.679117i
$598$	8.83021	−	16.9095i	0.361094	−	0.691480i
$599$	−12.5278			−0.511872			−0.255936	−	0.966694i	$-0.582384\pi$
$599$	−12.5278			−0.511872			−0.255936	+	0.966694i	$0.582384\pi$
$600$	−27.1671	+	22.2213i	−1.10909	+	0.907182i
$601$	−0.00773076	+	0.0537686i	−0.000315344	+	0.00219327i	−0.989979	−	0.141218i	$-0.954898\pi$
$601$	−0.00773076	+	0.0537686i	−0.000315344	+	0.00219327i	0.989663	+	0.143411i	$0.0458072\pi$
$602$	−5.90536	−	0.644585i	−0.240685	−	0.0262713i
$603$	−21.7369	+	3.66686i	−0.885196	+	0.149326i
$604$	−6.25717	+	11.3713i	−0.254601	+	0.462691i
$605$	−11.5489	+	10.0072i	−0.469528	+	0.406849i
$606$	−26.0696	−	10.4779i	−1.05900	−	0.425636i
$607$	1.97614	−	6.73012i	0.0802092	−	0.273167i	−0.909617	−	0.415447i	$-0.863625\pi$
$607$	1.97614	−	6.73012i	0.0802092	−	0.273167i	0.989826	+	0.142280i	$0.0454433\pi$
$608$	8.65410	+	7.09046i	0.350970	+	0.287556i
$609$	9.88569	−	1.54426i	0.400588	−	0.0625766i
$610$	−23.5075	−	6.04056i	−0.951790	−	0.244575i
$611$	10.0472	−	11.5951i	0.406465	−	0.469086i
$612$	2.05601	−	0.492853i	0.0831091	−	0.0199224i
$613$	3.32713	+	23.1407i	0.134382	+	0.934645i	0.939748	+	0.341868i	$0.111059\pi$
$613$	3.32713	+	23.1407i	0.134382	+	0.934645i	−0.805367	+	0.592777i	$0.798031\pi$
$614$	−8.85016	−	5.27047i	−0.357163	−	0.212699i
$615$	−55.3027	−	24.4476i	−2.23002	−	0.985824i
$616$	−2.13443	+	6.31027i	−0.0859986	+	0.254248i
$617$	−21.8796	−	9.99209i	−0.880841	−	0.402266i	−0.0769440	−	0.997035i	$-0.524516\pi$
$617$	−21.8796	−	9.99209i	−0.880841	−	0.402266i	−0.803897	+	0.594769i	$0.797244\pi$
$618$	−12.0102	−	9.47143i	−0.483121	−	0.380997i
$619$	8.27493	+	12.8760i	0.332598	+	0.517532i	0.966766	−	0.255663i	$-0.0822938\pi$
$619$	8.27493	+	12.8760i	0.332598	+	0.517532i	−0.634168	+	0.773195i	$0.718657\pi$
$620$	−2.94011	+	2.18609i	−0.118078	+	0.0877954i
$621$	−11.4821	+	22.1170i	−0.460760	+	0.887525i
$622$	−0.899028	−	2.71584i	−0.0360477	−	0.108895i
$623$	−4.11983	+	2.64765i	−0.165057	+	0.106076i
$624$	18.6658	−	5.59592i	0.747228	−	0.224016i
$625$	−3.94425	+	8.63670i	−0.157770	+	0.345468i
$626$	−14.4160	−	20.8351i	−0.576181	−	0.832739i
$627$	5.43201	−	12.2877i	0.216933	−	0.490723i
$628$	37.6839	+	8.32577i	1.50375	+	0.332234i
$629$	−0.916905	+	0.131831i	−0.0365594	+	0.00525645i
$630$	8.85435	+	0.749110i	0.352766	+	0.0298452i
$631$	35.1379	+	30.4472i	1.39882	+	1.21208i	0.947515	+	0.319711i	$0.103586\pi$
$631$	35.1379	+	30.4472i	1.39882	+	1.21208i	0.451303	+	0.892371i	$0.350959\pi$
$632$	−42.3570	+	17.3038i	−1.68487	+	0.688309i
$633$	−7.00149	−	44.8205i	−0.278284	−	1.78145i
$634$	−1.31171	+	3.15227i	−0.0520947	+	0.125193i
$635$	−16.1811	−	4.75120i	−0.642127	−	0.188546i
$636$	−0.372706	+	5.95699i	−0.0147788	+	0.236210i
$637$	−12.2290	−	14.1130i	−0.484530	−	0.559177i
$638$	36.2931	+	39.1086i	1.43686	+	1.54832i
$639$	−5.26022	−	31.1823i	−0.208091	−	1.23355i
$640$	−38.3418	+	9.32370i	−1.51559	+	0.368551i
$641$	−43.3925	−	6.23889i	−1.71390	−	0.246421i	−0.785727	−	0.618573i	$-0.787711\pi$
$641$	−43.3925	−	6.23889i	−1.71390	−	0.246421i	−0.928172	+	0.372152i	$0.878620\pi$
$642$	19.1334	−	0.885309i	0.755135	−	0.0349403i
$643$		−	14.0091i		−	0.552463i	−0.961091	−	0.276232i	$-0.910914\pi$
$643$		−	14.0091i		−	0.552463i	0.961091	−	0.276232i	$-0.0890857\pi$
$644$	5.55615	−	1.51872i	0.218943	−	0.0598459i
$645$	−31.5955	+	28.0575i	−1.24407	+	1.10476i
$646$	0.766410	+	0.619666i	0.0301540	+	0.0243804i
$647$	−1.23820	+	8.61189i	−0.0486788	+	0.338568i	0.950899	+	0.309502i	$0.100162\pi$
$647$	−1.23820	+	8.61189i	−0.0486788	+	0.338568i	−0.999577	+	0.0290661i	$0.990747\pi$
$648$	−24.3660	+	7.36866i	−0.957188	+	0.289468i
$649$	−32.6251	+	9.57960i	−1.28065	+	0.376032i
$650$	−20.8883	+	19.3845i	−0.819307	+	0.760324i
$651$	0.541659	+	0.0711676i	0.0212293	+	0.00278928i
$652$	0.961656	−	0.955436i	0.0376614	−	0.0374177i
$653$	5.71956	−	19.4790i	0.223824	−	0.762273i	−0.768634	−	0.639688i	$-0.779063\pi$
$653$	5.71956	−	19.4790i	0.223824	−	0.762273i	0.992458	−	0.122585i	$-0.0391184\pi$
$654$	−8.63005	+	2.97373i	−0.337462	+	0.116282i
$655$	33.5505	−	52.2056i	1.31093	−	2.03984i
$656$	−26.0219	−	30.4276i	−1.01599	−	1.18800i
$657$	20.4326	+	22.4532i	0.797153	+	0.875983i
$658$	4.62989	−	0.157836i	0.180492	−	0.00615311i
$659$	0.287152	+	1.99718i	0.0111858	+	0.0777992i	0.994650	−	0.103305i	$-0.0329419\pi$
$659$	0.287152	+	1.99718i	0.0111858	+	0.0777992i	−0.983464	+	0.181105i	$0.942033\pi$
$660$	23.0786	+	41.3839i	0.898334	+	1.61087i
$661$	−8.09382	−	17.7230i	−0.314813	−	0.689344i	0.684396	−	0.729111i	$-0.260066\pi$
$661$	−8.09382	−	17.7230i	−0.314813	−	0.689344i	−0.999209	+	0.0397661i	$0.987339\pi$
$662$	22.6101	−	15.6442i	0.878767	−	0.608028i
$663$	1.64110	−	0.503627i	0.0637352	−	0.0195592i
$664$	32.9241	−	35.0197i	1.27770	−	1.35903i
$665$	2.23949	+	3.48472i	0.0868439	+	0.135132i
$666$	10.9282	−	2.22887i	0.423459	−	0.0863670i
$667$	10.5054	−	44.9217i	0.406771	−	1.73938i
$668$	8.82842	−	6.56428i	0.341582	−	0.253980i
$669$	−11.0059	−	3.08676i	−0.425512	−	0.119341i
$670$	35.6778	−	6.37724i	1.37835	−	0.246374i
$671$	−8.01704	+	17.5549i	−0.309494	+	0.677698i
$672$	5.07231	+	2.98185i	0.195669	+	0.115027i
$673$	3.97386	+	8.70155i	0.153181	+	0.335420i	0.970628	−	0.240583i	$-0.0773387\pi$
$673$	3.97386	+	8.70155i	0.153181	+	0.335420i	−0.817447	+	0.576003i	$0.804611\pi$
$674$	−10.9481	+	18.3840i	−0.421704	+	0.708124i
$675$	27.2261	−	25.3881i	1.04793	−	0.977188i
$676$	−9.54789	+	3.52593i	−0.367226	+	0.135613i
$677$	11.9982	+	10.3965i	0.461128	+	0.399570i	0.854205	−	0.519936i	$-0.174044\pi$
$677$	11.9982	+	10.3965i	0.461128	+	0.399570i	−0.393077	+	0.919505i	$0.628590\pi$
$678$	−11.8260	+	6.07635i	−0.454175	+	0.233361i
$679$	3.27837	−	5.10124i	0.125812	−	0.195768i
$680$	−3.37228	+	0.843262i	−0.129321	+	0.0323376i
$681$	6.51408	−	3.07115i	0.249620	−	0.117687i
$682$	1.29977	+	2.60716i	0.0497706	+	0.0998334i
$683$	−13.0737	−	15.0878i	−0.500250	−	0.577320i	0.448325	−	0.893871i	$-0.352021\pi$
$683$	−13.0737	−	15.0878i	−0.500250	−	0.577320i	−0.948576	+	0.316551i	$0.897475\pi$
$684$	−9.64738	−	6.90957i	−0.368877	−	0.264194i
$685$	−29.0983	+	8.54404i	−1.11179	+	0.326451i
$686$	1.25689	−	11.5150i	0.0479884	−	0.439645i
$687$	−19.1008	−	28.9415i	−0.728739	−	1.10419i
$688$	−26.8965	+	7.70830i	−1.02542	+	0.293876i
$689$			4.84617i			0.184624i
$690$	18.5223	−	36.5457i	0.705133	−	1.39127i
$691$			14.6458i			0.557154i	0.960414	+	0.278577i	$0.0898627\pi$
$691$			14.6458i			0.557154i	−0.960414	+	0.278577i	$0.910137\pi$
$692$	−22.7220	−	8.55893i	−0.863759	−	0.325362i
$693$	1.82516	−	6.82576i	0.0693319	−	0.259289i
$694$	38.8173	+	4.23700i	1.47348	+	0.160835i
$695$	−37.0600	+	10.8818i	−1.40577	+	0.412770i
$696$	40.3526	−	24.3419i	1.52956	−	0.922677i
$697$	−2.30972	−	2.66556i	−0.0874868	−	0.100965i
$698$	27.4739	−	13.6967i	1.03990	−	0.518429i
$699$	0.562276	+	1.19262i	0.0212672	+	0.0451090i
$700$	−8.58058	−	0.641685i	−0.324315	−	0.0242534i
$701$	7.27814	−	11.3250i	0.274891	−	0.427739i	−0.676168	−	0.736747i	$-0.736361\pi$
$701$	7.27814	−	11.3250i	0.274891	−	0.427739i	0.951059	+	0.309008i	$0.0999970\pi$
$702$	−19.3715	+	7.20660i	−0.731130	+	0.271996i
$703$	3.92927	+	3.40473i	0.148195	+	0.128412i
$704$	1.93356	+	31.3157i	0.0728739	+	1.18026i
$705$	21.2747	−	25.1642i	0.801251	−	0.947737i
$706$	19.0926	+	11.3701i	0.718559	+	0.427918i
$707$	−2.86144	−	6.26568i	−0.107615	−	0.235645i
$708$	2.40953	+	29.9364i	0.0905555	+	1.12508i
$709$	−12.1954	+	26.7041i	−0.458007	+	1.00289i	0.529931	+	0.848041i	$0.322218\pi$
$709$	−12.1954	+	26.7041i	−0.458007	+	1.00289i	−0.987937	+	0.154854i	$0.950509\pi$
$710$	9.14834	+	51.1809i	0.343331	+	1.92079i
$711$	43.6418	−	21.2279i	1.63670	−	0.796109i
$712$	−13.2471	+	18.8826i	−0.496455	+	0.707654i
$713$	1.24140	−	2.19181i	0.0464906	−	0.0820840i
$714$	0.448535	+	0.259777i	0.0167860	+	0.00972192i
$715$	20.8000	+	32.3655i	0.777878	+	1.21040i
$716$	−16.1274	−	29.7643i	−0.602708	−	1.11234i
$717$	6.68670	+	21.7891i	0.249719	+	0.813729i
$718$	4.25595	+	6.15101i	0.158831	+	0.229554i
$719$	−13.7336	−	30.0723i	−0.512176	−	1.12151i	−0.972318	−	0.233663i	$-0.924929\pi$
$719$	−13.7336	−	30.0723i	−0.512176	−	1.12151i	0.460142	−	0.887845i	$-0.347799\pi$
$720$	39.9408	−	12.5054i	1.48851	−	0.466048i
$721$	−0.533661	−	3.71169i	−0.0198746	−	0.138231i
$722$	0.727019	+	21.3260i	0.0270569	+	0.793670i
$723$	−0.155090	−	12.7537i	−0.00576786	−	0.474316i
$724$	38.7549	−	2.64544i	1.44031	−	0.0983171i
$725$	−37.2593	+	57.9766i	−1.38378	+	2.15320i
$726$	10.1468	−	3.49638i	0.376585	−	0.129763i
$727$	6.47146	−	22.0398i	0.240013	−	0.817410i	−0.748087	−	0.663600i	$-0.769028\pi$
$727$	6.47146	−	22.0398i	0.240013	−	0.817410i	0.988100	−	0.153810i	$-0.0491543\pi$
$728$	4.26155	+	2.15918i	0.157944	+	0.0800246i
$729$	25.2829	−	9.47495i	0.936404	−	0.350924i
$730$	−33.9525	−	36.5864i	−1.25664	−	1.35413i
$731$	−2.36496	+	0.694415i	−0.0874713	+	0.0256839i
$732$	13.7366	+	10.0932i	0.507719	+	0.373057i
$733$	0.886402	−	6.16506i	0.0327400	−	0.227712i	−0.966881	−	0.255226i	$-0.917850\pi$
$733$	0.886402	−	6.16506i	0.0327400	−	0.227712i	0.999621	+	0.0275144i	$0.00875920\pi$
$734$	−7.85645	+	9.71695i	−0.289987	+	0.358659i
$735$	−26.6318	−	29.9900i	−0.982328	−	1.10620i
$736$	21.5206	−	16.5186i	0.793258	−	0.608885i
$737$		−	28.8183i		−	1.06154i
$738$	29.6350	+	30.4158i	1.09088	+	1.11962i
$739$	−3.56067	−	0.511948i	−0.130982	−	0.0188323i	0.0765122	−	0.997069i	$-0.475622\pi$
$739$	−3.56067	−	0.511948i	−0.130982	−	0.0188323i	−0.207494	+	0.978236i	$0.566531\pi$
$740$	−17.9308	+	3.83971i	−0.659148	+	0.141150i
$741$	−8.16812	−	5.11007i	−0.300063	−	0.187723i
$742$	−1.07258	+	0.995364i	−0.0393757	+	0.0365410i
$743$	25.5510	+	29.4875i	0.937377	+	1.08179i	0.996504	+	0.0835399i	$0.0266226\pi$
$743$	25.5510	+	29.4875i	0.937377	+	1.08179i	−0.0591278	+	0.998250i	$0.518832\pi$
$744$	2.48849	−	0.654516i	0.0912325	−	0.0239957i
$745$	38.8334	+	11.4025i	1.42275	+	0.417756i
$746$	−25.8497	−	10.7565i	−0.946425	−	0.393822i
$747$	−32.4394	+	39.3302i	−1.18689	+	1.43902i
$748$	0.188234	+	2.75756i	0.00688250	+	0.100826i
$749$	3.54883	+	3.07508i	0.129672	+	0.112361i
$750$	−13.3989	+	12.7410i	−0.489259	+	0.465236i
$751$	−34.3996	+	4.94592i	−1.25526	+	0.180479i	−0.737677	−	0.675154i	$-0.764077\pi$
$751$	−34.3996	+	4.94592i	−1.25526	+	0.180479i	−0.517583	+	0.855633i	$0.673168\pi$
$752$	19.9059	−	8.93508i	0.725895	−	0.325829i
$753$	14.2241	+	6.28804i	0.518355	+	0.229149i
$754$	31.4657	−	21.7715i	1.14591	−	0.792870i
$755$	−9.40245	+	20.5885i	−0.342190	+	0.749292i
$756$	−5.57375	−	2.80723i	−0.202715	−	0.102098i
$757$	−2.06396	+	1.32643i	−0.0750158	+	0.0482098i	−0.577611	−	0.816312i	$-0.696015\pi$
$757$	−2.06396	+	1.32643i	−0.0750158	+	0.0482098i	0.502595	+	0.864522i	$0.332379\pi$
$758$	6.97117	−	2.30767i	0.253204	−	0.0838184i
$759$	−26.0140	−	19.6111i	−0.944248	−	0.711836i
$760$	15.9717	+	11.2049i	0.579353	+	0.406445i
$761$	6.13535	+	9.54679i	0.222406	+	0.346071i	0.934469	−	0.356045i	$-0.115875\pi$
$761$	6.13535	+	9.54679i	0.222406	+	0.346071i	−0.712062	+	0.702116i	$0.752239\pi$
$762$	9.30004	+	7.33416i	0.336905	+	0.265689i
$763$	−2.03561	−	0.929630i	−0.0736939	−	0.0336549i
$764$	23.3415	−	30.9706i	0.844466	−	1.12048i
$765$	3.51132	−	1.12446i	0.126952	−	0.0406548i
$766$	−27.1740	+	45.6304i	−0.981835	+	1.64869i
$767$	3.47037	+	24.1370i	0.125308	+	0.871535i
$768$	27.4275	+	3.96640i	0.989705	+	0.143125i
$769$	−23.8047	+	27.4720i	−0.858418	+	0.990667i	0.141582	+	0.989927i	$0.454781\pi$
$769$	−23.8047	+	27.4720i	−0.858418	+	0.990667i	−1.00000		0.000740736i	$0.999764\pi$
$770$	−2.89114	+	11.2512i	−0.104190	+	0.405465i
$771$	2.35998	+	15.1076i	0.0849926	+	0.544086i
$772$	1.55497	−	20.7930i	0.0559647	−	0.748357i
$773$	−15.4418	+	52.5901i	−0.555404	+	1.89153i	−0.115986	+	0.993251i	$0.537003\pi$
$773$	−15.4418	+	52.5901i	−0.555404	+	1.89153i	−0.439418	+	0.898283i	$0.644815\pi$
$774$	27.9379	−	10.0085i	1.00421	−	0.359747i
$775$	−2.84383	+	2.46420i	−0.102154	+	0.0885166i
$776$	5.20776	−	28.0818i	0.186948	−	1.00808i
$777$	2.31806	+	1.45021i	0.0831599	+	0.0520258i
$778$	1.48649	−	13.6185i	0.0532933	−	0.488247i
$779$	−2.81725	+	19.5944i	−0.100939	+	0.702044i
$780$	31.7322	−	12.1588i	1.13619	−	0.435356i
$781$	41.3407			1.47929
$782$	1.88635	−	1.46746i	0.0674556	−	0.0524764i
$783$	−41.0362	+	28.5394i	−1.46651	+	1.01991i
$784$	−7.31660	−	25.5298i	−0.261307	−	0.911777i
$785$	66.6153	+	9.57783i	2.37760	+	0.341848i
$786$	−35.5366	+	25.2326i	−1.26755	+	0.900017i
$787$	2.25489	+	7.67944i	0.0803781	+	0.273743i	0.989870	−	0.141980i	$-0.0453469\pi$
$787$	2.25489	+	7.67944i	0.0803781	+	0.273743i	−0.909491	+	0.415723i	$0.863529\pi$
$788$	−12.8264	+	23.3096i	−0.456920	+	0.830370i
$789$	−43.6636	−	5.73688i	−1.55447	−	0.204238i
$790$	−71.4089	+	35.6000i	−2.54061	+	1.26659i
$791$	−3.12756	−	0.918333i	−0.111203	−	0.0326522i
$792$	−4.20025	−	33.0125i	−0.149249	−	1.17305i
$793$	11.6432	+	7.48265i	0.413463	+	0.265717i
$794$	5.46184	−	21.2553i	0.193833	−	0.754323i
$795$	0.126562	+	10.4077i	0.00448868	+	0.369124i
$796$	8.87691	+	24.0378i	0.314634	+	0.851998i
$797$	−50.6379	+	7.28063i	−1.79369	+	0.257893i	−0.957062	−	0.289884i	$-0.906383\pi$
$797$	−50.6379	+	7.28063i	−1.79369	+	0.257893i	−0.836625	+	0.547777i	$0.815474\pi$
$798$	−0.546677	−	2.85738i	−0.0193522	−	0.101150i
$799$	1.74845	−	0.798489i	0.0618556	−	0.0282485i
$800$	−38.5558	+	12.4861i	−1.36315	+	0.441451i
$801$	12.7224	−	20.8969i	0.449525	−	0.738356i
$802$	1.04302	+	5.83525i	0.0368304	+	0.206050i
$803$	−33.3876	+	21.4569i	−1.17822	+	0.757197i
$804$	−24.9198	−	5.18874i	−0.878853	−	0.182993i
$805$	9.46468	−	3.36364i	0.333586	−	0.118553i
$806$	1.98337	−	0.656558i	0.0698614	−	0.0231263i
$807$	5.34873	+	1.50013i	0.188284	+	0.0528071i
$808$	−23.6370	−	22.2225i	−0.831545	−	0.781786i
$809$	40.9240	+	18.6894i	1.43881	+	0.657083i	0.973630	−	0.228133i	$-0.0732620\pi$
$809$	40.9240	+	18.6894i	1.43881	+	0.657083i	0.465181	+	0.885216i	$0.345989\pi$
$810$	−41.4144	+	15.9829i	−1.45515	+	0.561584i
$811$	−3.41096	+	1.55774i	−0.119775	+	0.0546995i	−0.474401	−	0.880309i	$-0.657335\pi$
$811$	−3.41096	+	1.55774i	−0.119775	+	0.0546995i	0.354626	+	0.935008i	$0.384608\pi$
$812$	11.2814	+	2.49248i	0.395899	+	0.0874688i
$813$	7.16375	−	8.47343i	0.251244	−	0.297176i
$814$	0.496776	+	14.5721i	0.0174120	+	0.510753i
$815$	1.54807	−	1.78657i	0.0542267	−	0.0625809i
$816$	2.41841	+	0.333729i	0.0846613	+	0.0116829i
$817$	11.6379	+	7.47924i	0.407159	+	0.261665i
$818$	−7.30172	−	3.03836i	−0.255298	−	0.106234i
$819$	−4.65904	−	1.99226i	−0.162800	−	0.0696150i
$820$	−49.2094	−	49.5298i	−1.71847	−	1.72966i
$821$	−9.52449	+	8.25302i	−0.332407	+	0.288032i	−0.805032	−	0.593231i	$-0.797852\pi$
$821$	−9.52449	+	8.25302i	−0.332407	+	0.288032i	0.472625	+	0.881264i	$0.343307\pi$
$822$	21.1998	+	2.05349i	0.739427	+	0.0716235i
$823$	3.84645	+	13.0998i	0.134079	+	0.456631i	0.998972	−	0.0453248i	$-0.0144323\pi$
$823$	3.84645	+	13.0998i	0.134079	+	0.456631i	−0.864893	+	0.501956i	$0.832614\pi$
$824$	−8.93822	−	15.2330i	−0.311378	−	0.530668i
$825$	26.8070	+	40.6179i	0.933300	+	1.41414i
$826$	−4.62933	+	5.72562i	−0.161075	+	0.199220i
$827$	26.5265			0.922416			0.461208	−	0.887292i	$-0.347416\pi$
$827$	26.5265			0.922416			0.461208	+	0.887292i	$0.347416\pi$
$828$	−21.6419	+	18.9639i	−0.752108	+	0.659040i
$829$	15.1098			0.524784			0.262392	−	0.964961i	$-0.415489\pi$
$829$	15.1098			0.524784			0.262392	+	0.964961i	$0.415489\pi$
$830$	52.7011	−	65.1813i	1.82928	−	2.26248i
$831$	10.0709	+	15.2594i	0.349355	+	0.529343i
$832$	22.4271	+	1.82360i	0.777519	+	0.0632219i
$833$	−0.659128	−	2.24478i	−0.0228374	−	0.0777772i
$834$	27.0003	+	2.61534i	0.934944	+	0.0905620i
$835$	14.4990	−	12.5635i	0.501759	−	0.434777i
$836$	11.0050	−	10.9338i	0.380616	−	0.378154i
$837$	−2.58887	+	0.863902i	−0.0894846	+	0.0298608i
$838$	−8.63800	−	3.59441i	−0.298395	−	0.124167i
$839$	21.0022	+	13.4973i	0.725076	+	0.465978i	0.850399	−	0.526138i	$-0.176360\pi$
$839$	21.0022	+	13.4973i	0.725076	+	0.465978i	−0.125323	+	0.992116i	$0.539997\pi$
$840$	9.20859	+	4.52581i	0.317726	+	0.156155i
$841$	41.6071	−	48.0171i	1.43473	−	1.65576i
$842$	−0.302917	−	8.88560i	−0.0104392	−	0.306218i
$843$	−6.32864	+	7.48565i	−0.217970	+	0.257819i
$844$	11.3006	−	51.1484i	0.388982	−	1.76060i
$845$	−16.1453	+	7.37332i	−0.555416	+	0.253650i
$846$	−20.4545	+	10.8262i	−0.703240	+	0.372211i
$847$	2.39338	+	1.09302i	0.0822374	+	0.0375566i
$848$	−2.90366	+	6.25047i	−0.0997121	+	0.214642i
$849$	−32.0859	−	8.99898i	−1.10119	−	0.308844i
$850$	−3.38932	+	1.12197i	−0.116253	+	0.0384832i
$851$	10.2089	−	7.39767i	0.349956	−	0.253589i
$852$	7.44340	−	35.7482i	0.255007	−	1.22471i
$853$	16.0894	−	10.3400i	0.550890	−	0.354036i	−0.235394	−	0.971900i	$-0.575638\pi$
$853$	16.0894	−	10.3400i	0.550890	−	0.354036i	0.786285	+	0.617864i	$0.212002\pi$
$854$	0.735325	+	4.11382i	0.0251623	+	0.140772i
$855$	−17.6755	−	10.7612i	−0.604488	−	0.368024i
$856$	20.9509	+	7.08659i	0.716088	+	0.242215i
$857$	−20.2605	+	9.25266i	−0.692085	+	0.316065i	−0.730224	−	0.683208i	$-0.760584\pi$
$857$	−20.2605	+	9.25266i	−0.692085	+	0.316065i	0.0381387	+	0.999272i	$0.487857\pi$
$858$	−5.07745	−	26.5388i	−0.173341	−	0.906021i
$859$	25.0235	−	3.59784i	0.853791	−	0.122757i	0.298497	−	0.954411i	$-0.403515\pi$
$859$	25.0235	−	3.59784i	0.853791	−	0.122757i	0.555294	+	0.831654i	$0.312606\pi$
$860$	−45.7708	+	16.9027i	−1.56077	+	0.576376i
$861$	0.126592	+	10.4102i	0.00431424	+	0.354779i
$862$	−7.16687	+	27.8906i	−0.244105	+	0.949958i
$863$	−21.4101	−	13.7594i	−0.728807	−	0.468376i	0.122883	−	0.992421i	$-0.460786\pi$
$863$	−21.4101	−	13.7594i	−0.728807	−	0.468376i	−0.851691	+	0.524045i	$0.824422\pi$
$864$	−29.3028	−	2.31185i	−0.996902	−	0.0786508i
$865$	−40.6268	−	11.9291i	−1.38135	−	0.405601i
$866$	−1.27345	+	0.634863i	−0.0432736	+	0.0215735i
$867$	−28.9807	−	3.80773i	−0.984237	−	0.129317i
$868$	0.552682	+	0.304119i	0.0187592	+	0.0103225i
$869$	17.8744	+	60.8746i	0.606347	+	2.06503i
$870$	67.0078	−	47.5786i	2.27178	−	1.61307i
$871$	−20.4569	−	2.94126i	−0.693157	−	0.0996609i
$872$	−10.5315	−	0.427463i	−0.356640	−	0.0144757i
$873$	−3.58074	+	30.0807i	−0.121190	+	1.01808i
$874$	−13.1578	−	2.60775i	−0.445071	−	0.0882083i
$875$	−4.53292			−0.153241
$876$	12.5428	+	32.7342i	0.423781	+	1.10599i
$877$	−4.99804	+	34.7621i	−0.168772	+	1.17383i	0.712655	+	0.701514i	$0.247492\pi$
$877$	−4.99804	+	34.7621i	−0.168772	+	1.17383i	−0.881427	+	0.472320i	$0.843417\pi$
$878$	−2.69397	+	24.6808i	−0.0909172	+	0.832937i
$879$	15.1711	+	9.49123i	0.511709	+	0.320131i
$880$	7.43506	+	54.2069i	0.250636	+	1.82731i
$881$	10.5215	−	9.11694i	0.354479	−	0.307158i	−0.459358	−	0.888251i	$-0.651920\pi$
$881$	10.5215	−	9.11694i	0.354479	−	0.307158i	0.813837	+	0.581094i	$0.197375\pi$
$882$	9.49988	+	26.5182i	0.319878	+	0.892915i
$883$	−8.91523	+	30.3625i	−0.300021	+	1.02178i	0.662159	+	0.749364i	$0.269641\pi$
$883$	−8.91523	+	30.3625i	−0.300021	+	1.02178i	−0.962180	+	0.272415i	$0.912178\pi$
$884$	1.97669	+	0.147824i	0.0664833	+	0.00497185i
$885$	8.08339	+	51.7464i	0.271720	+	1.73944i
$886$	0.943612	−	3.67217i	0.0317013	−	0.123369i
$887$	−14.9589	+	17.2634i	−0.502269	+	0.579650i	−0.949102	−	0.314968i	$-0.898006\pi$
$887$	−14.9589	+	17.2634i	−0.502269	+	0.579650i	0.446833	+	0.894617i	$0.352552\pi$
$888$	12.6903	+	2.19414i	0.425858	+	0.0736306i
$889$	0.413238	+	2.87413i	0.0138596	+	0.0963953i
$890$	−20.5811	+	34.5597i	−0.689880	+	1.15844i
$891$	6.71607	+	34.6525i	0.224997	+	1.16090i
$892$	−10.5405	−	7.94402i	−0.352922	−	0.265986i
$893$	−9.81338	−	4.48162i	−0.328392	−	0.149972i
$894$	−22.3194	−	17.6014i	−0.746472	−	0.588680i
$895$	−31.9164	−	49.6630i	−1.06685	−	1.66005i
$896$	4.20273	+	5.33823i	0.140403	+	0.178338i
$897$	−16.5761	+	16.4647i	−0.553461	+	0.549740i
$898$	22.9048	−	7.58220i	0.764344	−	0.253021i
$899$	4.25047	−	2.73161i	0.141761	−	0.0911043i
$900$	39.9498	−	15.8673i	1.33166	−	0.528910i
$901$	−0.252216	+	0.552276i	−0.00840253	+	0.0183990i
$902$	−45.6533	+	31.5880i	−1.52009	+	1.05177i
$903$	6.65430	+	2.94166i	0.221441	+	0.0978924i
$904$	−15.2724	+	1.56681i	−0.507953	+	0.0521112i
$905$	67.0510	−	9.64048i	2.22885	−	0.320460i
$906$	11.5195	−	10.9539i	0.382710	−	0.363919i
$907$	−18.2567	−	15.8195i	−0.606202	−	0.525277i	0.296785	−	0.954944i	$-0.404085\pi$
$907$	−18.2567	−	15.8195i	−0.606202	−	0.525277i	−0.902987	+	0.429667i	$0.858631\pi$
$908$	8.29655	−	0.566330i	0.275331	−	0.0187943i
$909$	26.5464	+	21.8953i	0.880487	+	0.726222i
$910$	7.69168	+	3.20063i	0.254977	+	0.106100i
$911$	−2.17190	−	0.637727i	−0.0719582	−	0.0211288i	0.245555	−	0.969383i	$-0.421030\pi$
$911$	−2.17190	−	0.637727i	−0.0719582	−	0.0211288i	−0.317514	+	0.948254i	$0.602848\pi$
$912$	−7.47325	−	11.4849i	−0.247464	−	0.380303i
$913$	−43.6460	−	50.3701i	−1.44447	−	1.66701i
$914$	−21.6909	+	20.1294i	−0.717473	+	0.665821i
$915$	25.2007	+	15.7658i	0.833108	+	0.521202i
$916$	−8.38428	−	39.1531i	−0.277024	−	1.29366i
$917$	−10.5762	−	1.52063i	−0.349258	−	0.0502157i
$918$	−2.58267	−	0.186904i	−0.0852407	−	0.00616876i
$919$		−	11.1460i		−	0.367672i	−0.982957	−	0.183836i	$-0.941148\pi$
$919$		−	11.1460i		−	0.367672i	0.982957	−	0.183836i	$-0.0588516\pi$
$920$	35.2762	−	31.5248i	1.16302	−	1.03934i
$921$	8.37682	+	9.43312i	0.276026	+	0.310832i
$922$	−24.7261	+	30.5815i	−0.814310	+	1.00715i
$923$	4.21933	−	29.3461i	0.138881	−	0.965938i
$924$	4.83085	−	6.57463i	0.158923	−	0.216289i
$925$	−18.0707	+	5.30603i	−0.594161	+	0.174461i
$926$	−3.11429	−	3.35589i	−0.102342	−	0.110281i
$927$	10.5081	+	15.5083i	0.345132	+	0.509361i
$928$	53.6284	−	9.22710i	1.76044	−	0.302894i
$929$	3.76805	−	12.8328i	0.123626	−	0.421031i	−0.874301	−	0.485383i	$-0.838680\pi$
$929$	3.76805	−	12.8328i	0.123626	−	0.421031i	0.997927	+	0.0643526i	$0.0204982\pi$
$930$	4.24239	−	1.46183i	0.139113	−	0.0479354i
$931$	−7.09918	+	11.0465i	−0.232666	+	0.362035i
$932$	0.103686	+	1.51896i	0.00339634	+	0.0497553i
$933$	0.0426034	+	3.50347i	0.00139477	+	0.114698i
$934$	0.357116	+	10.4754i	0.0116852	+	0.342767i
$935$	0.685958	+	4.77094i	0.0224332	+	0.156026i
$936$	−23.8629	−	0.387743i	−0.779983	−	0.0126738i
$937$	2.43838	+	5.33930i	0.0796583	+	0.174427i	0.945271	−	0.326288i	$-0.105798\pi$
$937$	2.43838	+	5.33930i	0.0796583	+	0.174427i	−0.865612	+	0.500715i	$0.833071\pi$
$938$	−3.55071	−	5.13175i	−0.115935	−	0.167558i
$939$	9.10366	+	29.6650i	0.297087	+	0.968079i
$940$	33.4546	−	18.1269i	1.09117	−	0.591235i
$941$	−9.77757	−	15.2142i	−0.318740	−	0.495968i	0.644503	−	0.764602i	$-0.277064\pi$
$941$	−9.77757	−	15.2142i	−0.318740	−	0.495968i	−0.963243	+	0.268633i	$0.913428\pi$
$942$	−40.9014	−	23.6888i	−1.33264	−	0.771823i
$943$	44.7104	+	17.4719i	1.45597	+	0.568962i
$944$	−9.98604	+	33.2105i	−0.325018	+	1.08091i
$945$	−10.0579	−	4.15693i	−0.327183	−	0.135225i
$946$	6.82646	+	38.1910i	0.221947	+	1.24170i
$947$	−1.23271	+	2.69925i	−0.0400576	+	0.0877139i	−0.928603	−	0.371075i	$-0.878989\pi$
$947$	−1.23271	+	2.69925i	−0.0400576	+	0.0877139i	0.888545	+	0.458789i	$0.151717\pi$
$948$	55.8578	−	4.49589i	1.81418	−	0.146020i
$949$	11.8237	+	25.8904i	0.383815	+	0.840438i
$950$	17.2165	+	10.2528i	0.558577	+	0.332645i
$951$	2.69976	−	3.19334i	0.0875458	−	0.103551i
$952$	0.373279	+	0.467853i	0.0120980	+	0.0151632i
$953$	−24.1657	−	20.9397i	−0.782804	−	0.678303i	0.168793	−	0.985651i	$-0.446013\pi$
$953$	−24.1657	−	20.9397i	−0.782804	−	0.678303i	−0.951597	+	0.307348i	$0.900558\pi$
$954$	2.64344	−	6.81537i	0.0855847	−	0.220656i
$955$	36.5634	−	56.8937i	1.18316	−	1.84104i
$956$	−1.96267	+	26.2447i	−0.0634773	+	0.848815i
$957$	−27.8662	−	59.1057i	−0.900785	−	1.91062i
$958$	33.4849	−	16.6935i	1.08185	−	0.539341i
$959$	3.41947	+	3.94628i	0.110420	+	0.127432i
$960$	48.2125	+	3.33069i	1.55605	+	0.107498i
$961$	−29.4796	+	8.65599i	−0.950954	+	0.279225i
$962$	10.3949	+	1.13463i	0.335144	+	0.0365818i
$963$	−22.6624	−	6.05976i	−0.730286	−	0.195273i
$964$	5.19160	−	13.7825i	0.167210	−	0.443903i
$965$		−	36.3615i		−	1.17052i
$966$	−7.04866	−	0.287001i	−0.226787	−	0.00923412i
$967$		−	36.8645i		−	1.18548i	−0.805393	−	0.592741i	$-0.798046\pi$
$967$		−	36.8645i		−	1.18548i	0.805393	−	0.592741i	$-0.201954\pi$
$968$	12.3824	+	0.502593i	0.397987	+	0.0161539i
$969$	−0.664899	−	1.00745i	−0.0213596	−	0.0323641i
$970$	5.40433	−	49.5118i	0.173523	−	1.58973i
$971$	34.4427	−	10.1133i	1.10532	−	0.324551i	0.322355	−	0.946619i	$-0.395526\pi$
$971$	34.4427	−	10.1133i	1.10532	−	0.324551i	0.782963	+	0.622068i	$0.213707\pi$
$972$	31.1739	+	0.431652i	0.999904	+	0.0138453i
$973$	4.35508	+	5.02603i	0.139618	+	0.161127i
$974$	−15.6844	−	31.4608i	−0.502561	−	1.00807i
$975$	31.5690	−	14.8836i	1.01102	−	0.476657i
$976$	10.5338	+	16.6272i	0.337179	+	0.532222i
$977$	−7.92670	+	12.3342i	−0.253598	+	0.394605i	−0.944588	−	0.328258i	$-0.893538\pi$
$977$	−7.92670	+	12.3342i	−0.253598	+	0.394605i	0.690990	+	0.722864i	$0.257175\pi$
$978$	−1.47673	+	0.758763i	−0.0472207	+	0.0242626i
$979$	24.1714	+	20.9447i	0.772522	+	0.669394i
$980$	−16.0438	−	43.4450i	−0.512499	−	1.38780i
$981$	11.1762	−	0.271853i	0.356829	−	0.00867961i
$982$	−6.44788	+	10.8273i	−0.205760	+	0.345512i
$983$	2.52955	+	5.53893i	0.0806800	+	0.176665i	0.945673	−	0.325119i	$-0.105405\pi$
$983$	2.52955	+	5.53893i	0.0806800	+	0.176665i	−0.864993	+	0.501784i	$0.832677\pi$
$984$	19.0949	+	45.1648i	0.608724	+	1.43980i
$985$	−19.2738	+	42.2036i	−0.614113	+	1.34472i
$986$	4.71896	−	0.843491i	0.150282	−	0.0268622i
$987$	−5.46293	−	1.53216i	−0.173887	−	0.0487692i
$988$	−6.63827	−	8.92793i	−0.211192	−	0.284035i
$989$	24.0862	−	23.3493i	0.765895	−	0.742465i
$990$	−11.5975	−	56.8627i	−0.368593	−	1.80722i
$991$	11.7055	+	18.2141i	0.371837	+	0.578590i	0.975865	−	0.218373i	$-0.0700749\pi$
$991$	11.7055	+	18.2141i	0.371837	+	0.578590i	−0.604028	+	0.796963i	$0.706439\pi$
$992$	2.95149	+	0.341558i	0.0937100	+	0.0108445i
$993$	−32.1922	+	9.87922i	−1.02159	+	0.313508i
$994$	7.36165	−	5.09360i	0.233497	−	0.161559i
$995$	18.5631	+	40.6476i	0.588490	+	1.28861i
$996$	−51.4146	+	28.6724i	−1.62913	+	0.908521i
$997$	1.91231	+	13.3004i	0.0605636	+	0.421229i	0.997436	+	0.0715586i	$0.0227973\pi$
$997$	1.91231	+	13.3004i	0.0605636	+	0.421229i	−0.936873	+	0.349670i	$0.886294\pi$
$998$	46.9700	−	1.60124i	1.48681	−	0.0506865i
$999$	−13.5826	−	1.44958i	−0.429736	−	0.0458626i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.35.10	✓	440
3.2	odd	2	inner	276.2.o.a.35.35	yes	440
4.3	odd	2	inner	276.2.o.a.35.19	yes	440
12.11	even	2	inner	276.2.o.a.35.26	yes	440
23.2	even	11	inner	276.2.o.a.71.26	yes	440
69.2	odd	22	inner	276.2.o.a.71.19	yes	440
92.71	odd	22	inner	276.2.o.a.71.35	yes	440
276.71	even	22	inner	276.2.o.a.71.10	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.35.10	✓	440	1.1	even	1	trivial
276.2.o.a.35.19	yes	440	4.3	odd	2	inner
276.2.o.a.35.26	yes	440	12.11	even	2	inner
276.2.o.a.35.35	yes	440	3.2	odd	2	inner
276.2.o.a.71.10	yes	440	276.71	even	22	inner
276.2.o.a.71.19	yes	440	69.2	odd	22	inner
276.2.o.a.71.26	yes	440	23.2	even	11	inner
276.2.o.a.71.35	yes	440	92.71	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.09972 - 0.889160i) q^{2} +(0.954066 + 1.44560i) q^{3} +(0.418787 + 1.95566i) q^{4} +(0.982607 + 3.34645i) q^{5} +(0.236161 - 2.43808i) q^{6} +(0.453842 - 0.393256i) q^{7} +(1.27835 - 2.52306i) q^{8} +(-1.17952 + 2.75839i) q^{9} +O(q^{10})\)	\(q+(-1.09972 - 0.889160i) q^{2} +(0.954066 + 1.44560i) q^{3} +(0.418787 + 1.95566i) q^{4} +(0.982607 + 3.34645i) q^{5} +(0.236161 - 2.43808i) q^{6} +(0.453842 - 0.393256i) q^{7} +(1.27835 - 2.52306i) q^{8} +(-1.17952 + 2.75839i) q^{9} +(1.89494 - 4.55387i) q^{10} +(-3.29933 - 2.12035i) q^{11} +(-2.42756 + 2.47123i) q^{12} +(-1.84189 + 2.12565i) q^{13} +(-0.848769 + 0.0289352i) q^{14} +(-3.90016 + 4.61319i) q^{15} +(-3.64923 + 1.63801i) q^{16} +(-0.320532 + 0.146382i) q^{17} +(3.74980 - 1.98469i) q^{18} +(1.79903 + 0.821588i) q^{19} +(-6.13303 + 3.32310i) q^{20} +(1.00149 + 0.280881i) q^{21} +(1.74302 + 5.26543i) q^{22} +(2.93332 - 3.79416i) q^{23} +(4.86696 - 0.559185i) q^{24} +(-6.02696 + 3.87329i) q^{25} +(3.91561 - 0.699897i) q^{26} +(-5.11287 + 0.926578i) q^{27} +(0.959140 + 0.722871i) q^{28} +(8.75025 - 3.99611i) q^{29} +(8.39097 - 1.60537i) q^{30} +(0.519891 - 0.0747490i) q^{31} +(5.46961 + 1.44339i) q^{32} +(-0.0825988 - 6.79246i) q^{33} +(0.482654 + 0.124024i) q^{34} +(1.76196 + 1.13234i) q^{35} +(-5.88846 - 1.15156i) q^{36} +(2.52234 + 0.740626i) q^{37} +(-1.24791 - 2.50314i) q^{38} +(-4.83012 - 0.634621i) q^{39} +(9.69941 + 1.79875i) q^{40} +(2.81995 + 9.60386i) q^{41} +(-0.851610 - 1.19937i) q^{42} +(6.92362 + 0.995467i) q^{43} +(2.76497 - 7.34035i) q^{44} +(-10.3898 - 1.23678i) q^{45} +(-6.59946 + 1.56434i) q^{46} -5.45483 q^{47} +(-5.84952 - 3.71256i) q^{48} +(-0.944882 + 6.57180i) q^{49} +(10.0720 + 1.09938i) q^{50} +(-0.517418 - 0.323703i) q^{51} +(-4.92841 - 2.71191i) q^{52} +(1.30216 - 1.12832i) q^{53} +(6.44663 + 3.52718i) q^{54} +(3.85371 - 13.1245i) q^{55} +(-0.412041 - 1.64779i) q^{56} +(0.528702 + 3.38452i) q^{57} +(-13.1760 - 3.38576i) q^{58} +(5.67755 - 6.55224i) q^{59} +(-10.6552 - 5.69545i) q^{60} +(-0.700298 - 4.87068i) q^{61} +(-0.638200 - 0.380063i) q^{62} +(0.549441 + 1.71573i) q^{63} +(-4.73166 - 6.45069i) q^{64} +(-8.92324 - 4.07511i) q^{65} +(-5.94875 + 7.54328i) q^{66} +(3.97263 + 6.18154i) q^{67} +(-0.420509 - 0.565549i) q^{68} +(8.28341 + 0.620527i) q^{69} +(-0.930836 - 2.81193i) q^{70} +(-8.86761 + 5.69886i) q^{71} +(5.45176 + 6.50218i) q^{72} +(4.20379 - 9.20502i) q^{73} +(-2.11534 - 3.05725i) q^{74} +(-11.3493 - 5.01719i) q^{75} +(-0.853339 + 3.86236i) q^{76} +(-2.33121 + 0.335178i) q^{77} +(4.74752 + 4.99266i) q^{78} +(-12.2257 - 10.5936i) q^{79} +(-9.06730 - 10.6025i) q^{80} +(-6.21748 - 6.50715i) q^{81} +(5.43821 - 13.0690i) q^{82} +(16.3057 + 4.78777i) q^{83} +(-0.129900 + 2.07620i) q^{84} +(-0.804817 - 0.928809i) q^{85} +(-6.72895 - 7.25095i) q^{86} +(14.1251 + 8.83681i) q^{87} +(-9.56746 + 5.61386i) q^{88} +(-8.07202 - 1.16058i) q^{89} +(10.3263 + 10.5983i) q^{90} +1.68904i q^{91} +(8.64853 + 4.14763i) q^{92} +(0.604067 + 0.680239i) q^{93} +(5.99881 + 4.85022i) q^{94} +(-0.981668 + 6.82765i) q^{95} +(3.13180 + 9.28396i) q^{96} +(9.68868 - 2.84485i) q^{97} +(6.88249 - 6.38701i) q^{98} +(9.74038 - 6.59986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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