LMFDB - Embedded newform 495.2.bs.a.112.67

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(7,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([40, 15, 42]))

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

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

chi := DirichletCharacter("495.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bs (of order $60$, degree $16$, 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:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$1088$
Relative dimension:	$68$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			112.67
Character	$\chi$	$=$	495.112
Dual form			495.2.bs.a.358.67

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.48393 - 2.28505i) q^{2} +(1.02650 - 1.39510i) q^{3} +(-2.20592 - 4.95459i) q^{4} +(-1.86782 - 1.22933i) q^{5} +(-1.66461 - 4.41582i) q^{6} +(2.90849 + 3.59169i) q^{7} +(-9.21276 - 1.45916i) q^{8} +(-0.892595 - 2.86414i) q^{9} +O(q^{10})$	\(q+(1.48393 - 2.28505i) q^{2} +(1.02650 - 1.39510i) q^{3} +(-2.20592 - 4.95459i) q^{4} +(-1.86782 - 1.22933i) q^{5} +(-1.66461 - 4.41582i) q^{6} +(2.90849 + 3.59169i) q^{7} +(-9.21276 - 1.45916i) q^{8} +(-0.892595 - 2.86414i) q^{9} +(-5.58078 + 2.44381i) q^{10} +(3.30855 - 0.231318i) q^{11} +(-9.17651 - 2.00840i) q^{12} +(-0.0852679 + 1.62701i) q^{13} +(12.5232 - 1.31624i) q^{14} +(-3.63235 + 1.34388i) q^{15} +(-9.74729 + 10.8255i) q^{16} +(-0.169954 - 0.0865959i) q^{17} +(-7.86923 - 2.21054i) q^{18} +(1.67627 - 1.21788i) q^{19} +(-1.97057 + 11.9661i) q^{20} +(7.99632 - 0.370762i) q^{21} +(4.38107 - 7.90344i) q^{22} +(-0.315182 - 1.17627i) q^{23} +(-11.4926 + 11.3549i) q^{24} +(1.97748 + 4.59234i) q^{25} +(3.59126 + 2.60920i) q^{26} +(-4.91200 - 1.69478i) q^{27} +(11.3794 - 22.3334i) q^{28} +(-0.115412 + 1.09807i) q^{29} +(-2.31932 + 10.2943i) q^{30} +(-1.03084 - 1.14487i) q^{31} +(5.44409 + 20.3176i) q^{32} +(3.07351 - 4.85320i) q^{33} +(-0.450075 + 0.259851i) q^{34} +(-1.01715 - 10.2841i) q^{35} +(-12.2216 + 10.7405i) q^{36} +(1.47097 + 9.28733i) q^{37} +(-0.295454 - 5.63760i) q^{38} +(2.18231 + 1.78908i) q^{39} +(15.4140 + 14.0510i) q^{40} +(3.77921 - 0.397211i) q^{41} +(11.0187 - 18.8221i) q^{42} +(1.58171 - 5.90304i) q^{43} +(-8.44449 - 15.8822i) q^{44} +(-1.85377 + 6.44698i) q^{45} +(-3.15555 - 1.02530i) q^{46} +(1.06978 + 2.78687i) q^{47} +(5.09698 + 24.7107i) q^{48} +(-2.98552 + 14.0458i) q^{49} +(13.4281 + 2.29605i) q^{50} +(-0.295268 + 0.148212i) q^{51} +(8.24924 - 3.16659i) q^{52} +(-3.28307 - 6.44339i) q^{53} +(-11.1617 + 8.70922i) q^{54} +(-6.46413 - 3.63525i) q^{55} +(-21.5544 - 37.3333i) q^{56} +(0.0216275 - 3.58871i) q^{57} +(2.33788 + 1.89318i) q^{58} +(-5.13287 - 11.5286i) q^{59} +(14.6711 + 15.0323i) q^{60} +(-2.89098 - 2.60305i) q^{61} +(-4.14577 + 0.656626i) q^{62} +(7.69098 - 11.5362i) q^{63} +(26.7971 + 8.70690i) q^{64} +(2.15940 - 2.93413i) q^{65} +(-6.52891 - 14.2249i) q^{66} +(-1.37686 + 0.368929i) q^{67} +(-0.0541412 + 1.03308i) q^{68} +(-1.96455 - 0.767736i) q^{69} +(-25.0091 - 12.9366i) q^{70} +(1.32962 + 4.09216i) q^{71} +(4.04404 + 27.6890i) q^{72} +(0.492881 + 3.11193i) q^{73} +(23.4048 + 10.4205i) q^{74} +(8.43665 + 1.95525i) q^{75} +(-9.73182 - 5.61867i) q^{76} +(10.4537 + 11.2105i) q^{77} +(7.32651 - 2.33181i) q^{78} +(8.90931 - 1.89373i) q^{79} +(31.5142 - 8.23732i) q^{80} +(-7.40655 + 5.11303i) q^{81} +(4.70043 - 9.22511i) q^{82} +(-2.32510 + 0.121853i) q^{83} +(-19.4763 - 38.8006i) q^{84} +(0.210988 + 0.370676i) q^{85} +(-11.1416 - 12.3740i) q^{86} +(1.41345 + 1.28818i) q^{87} +(-30.8184 - 2.69662i) q^{88} +3.94279i q^{89} +(11.9808 + 13.8028i) q^{90} +(-6.09171 + 4.42588i) q^{91} +(-5.13268 + 4.15637i) q^{92} +(-2.65536 + 0.262921i) q^{93} +(7.95561 + 1.69102i) q^{94} +(-4.62814 + 0.214087i) q^{95} +(33.9334 + 13.2610i) q^{96} +(-8.44308 - 5.48300i) q^{97} +(27.6649 + 27.6649i) q^{98} +(-3.61572 - 9.26966i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1088 q - 10 q^{2} - 14 q^{3} - 6 q^{5} - 40 q^{6} - 10 q^{7} - 40 q^{8}+O(q^{10}) $ 1088 * q - 10 * q^2 - 14 * q^3 - 6 * q^5 - 40 * q^6 - 10 * q^7 - 40 * q^8	$ 1088 q - 10 q^{2} - 14 q^{3} - 6 q^{5} - 40 q^{6} - 10 q^{7} - 40 q^{8} - 20 q^{11} - 44 q^{12} - 10 q^{13} - 20 q^{15} - 124 q^{16} - 40 q^{17} - 20 q^{18} + 34 q^{20} - 32 q^{23} - 12 q^{25} - 112 q^{26} + 4 q^{27} - 40 q^{28} - 20 q^{30} - 12 q^{31} - 74 q^{33} - 40 q^{35} - 72 q^{36} - 12 q^{37} + 38 q^{38} - 50 q^{40} - 20 q^{41} + 76 q^{42} - 44 q^{45} - 80 q^{46} + 2 q^{47} - 144 q^{48} - 10 q^{50} - 120 q^{51} - 10 q^{52} + 96 q^{53} - 52 q^{55} - 24 q^{56} - 100 q^{57} + 14 q^{58} + 8 q^{60} - 20 q^{61} - 340 q^{62} - 20 q^{63} + 44 q^{66} - 40 q^{67} - 50 q^{68} + 34 q^{70} - 152 q^{71} - 170 q^{72} - 40 q^{73} - 52 q^{75} + 100 q^{77} + 24 q^{78} + 208 q^{80} - 84 q^{81} - 8 q^{82} - 10 q^{83} - 10 q^{85} + 60 q^{86} - 100 q^{88} - 280 q^{90} - 120 q^{91} - 154 q^{92} + 2 q^{93} - 10 q^{95} + 420 q^{96} - 12 q^{97}+O(q^{100}) $ 1088 * q - 10 * q^2 - 14 * q^3 - 6 * q^5 - 40 * q^6 - 10 * q^7 - 40 * q^8 - 20 * q^11 - 44 * q^12 - 10 * q^13 - 20 * q^15 - 124 * q^16 - 40 * q^17 - 20 * q^18 + 34 * q^20 - 32 * q^23 - 12 * q^25 - 112 * q^26 + 4 * q^27 - 40 * q^28 - 20 * q^30 - 12 * q^31 - 74 * q^33 - 40 * q^35 - 72 * q^36 - 12 * q^37 + 38 * q^38 - 50 * q^40 - 20 * q^41 + 76 * q^42 - 44 * q^45 - 80 * q^46 + 2 * q^47 - 144 * q^48 - 10 * q^50 - 120 * q^51 - 10 * q^52 + 96 * q^53 - 52 * q^55 - 24 * q^56 - 100 * q^57 + 14 * q^58 + 8 * q^60 - 20 * q^61 - 340 * q^62 - 20 * q^63 + 44 * q^66 - 40 * q^67 - 50 * q^68 + 34 * q^70 - 152 * q^71 - 170 * q^72 - 40 * q^73 - 52 * q^75 + 100 * q^77 + 24 * q^78 + 208 * q^80 - 84 * q^81 - 8 * q^82 - 10 * q^83 - 10 * q^85 + 60 * q^86 - 100 * q^88 - 280 * q^90 - 120 * q^91 - 154 * q^92 + 2 * q^93 - 10 * q^95 + 420 * q^96 - 12 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	1.48393	−	2.28505i	1.04929	−	1.61577i	0.299505	−	0.954095i	$-0.403179\pi$
$2$	1.48393	−	2.28505i	1.04929	−	1.61577i	0.749789	−	0.661676i	$-0.230155\pi$
$3$	1.02650	−	1.39510i	0.592650	−	0.805460i
$3$	1.02650	−	1.39510i	0.592650	−	0.805460i
$4$	−2.20592	−	4.95459i	−1.10296	−	2.47729i
$5$	−1.86782	−	1.22933i	−0.835313	−	0.549774i
$5$	−1.86782	−	1.22933i	−0.835313	−	0.549774i
$6$	−1.66461	−	4.41582i	−0.679575	−	1.80275i
$7$	2.90849	+	3.59169i	1.09931	+	1.35753i	0.928115	+	0.372293i	$0.121428\pi$
$7$	2.90849	+	3.59169i	1.09931	+	1.35753i	0.171191	+	0.985238i	$0.445238\pi$
$8$	−9.21276	−	1.45916i	−3.25720	−	0.515890i
$9$	−0.892595	−	2.86414i	−0.297532	−	0.954712i
$10$	−5.58078	+	2.44381i	−1.76480	+	0.772801i
$11$	3.30855	−	0.231318i	0.997565	−	0.0697450i
$11$	3.30855	−	0.231318i	0.997565	−	0.0697450i
$12$	−9.17651	−	2.00840i	−2.64903	−	0.579776i
$13$	−0.0852679	+	1.62701i	−0.0236490	+	0.451251i	0.960983	+	0.276608i	$0.0892104\pi$
$13$	−0.0852679	+	1.62701i	−0.0236490	+	0.451251i	−0.984632	+	0.174643i	$0.944123\pi$
$14$	12.5232	−	1.31624i	3.34696	−	0.351779i
$15$	−3.63235	+	1.34388i	−0.937870	+	0.346988i
$16$	−9.74729	+	10.8255i	−2.43682	+	2.70636i
$17$	−0.169954	−	0.0865959i	−0.0412199	−	0.0210026i	0.433259	−	0.901269i	$-0.357364\pi$
$17$	−0.169954	−	0.0865959i	−0.0412199	−	0.0210026i	−0.474479	+	0.880267i	$0.657364\pi$
$18$	−7.86923	−	2.21054i	−1.85479	−	0.521030i
$19$	1.67627	−	1.21788i	0.384562	−	0.279401i	−0.378661	−	0.925535i	$-0.623615\pi$
$19$	1.67627	−	1.21788i	0.384562	−	0.279401i	0.763224	+	0.646134i	$0.223615\pi$
$20$	−1.97057	+	11.9661i	−0.440633	+	2.67570i
$21$	7.99632	−	0.370762i	1.74494	−	0.0809070i
$22$	4.38107	−	7.90344i	0.934047	−	1.68502i
$23$	−0.315182	−	1.17627i	−0.0657199	−	0.245270i	0.925249	−	0.379360i	$-0.123856\pi$
$23$	−0.315182	−	1.17627i	−0.0657199	−	0.245270i	−0.990969	+	0.134090i	$0.957189\pi$
$24$	−11.4926	+	11.3549i	−2.34591	+	2.31781i
$25$	1.97748	+	4.59234i	0.395497	+	0.918467i
$26$	3.59126	+	2.60920i	0.704303	+	0.511706i
$27$	−4.91200	−	1.69478i	−0.945315	−	0.326160i
$28$	11.3794	−	22.3334i	2.15051	−	4.22061i
$29$	−0.115412	+	1.09807i	−0.0214314	+	0.203907i	−0.999998	−	0.00202445i	$-0.999356\pi$
$29$	−0.115412	+	1.09807i	−0.0214314	+	0.203907i	0.978567	+	0.205931i	$0.0660223\pi$
$30$	−2.31932	+	10.2943i	−0.423448	+	1.87948i
$31$	−1.03084	−	1.14487i	−0.185145	−	0.205624i	0.643426	−	0.765508i	$-0.277512\pi$
$31$	−1.03084	−	1.14487i	−0.185145	−	0.205624i	−0.828571	+	0.559884i	$0.810846\pi$
$32$	5.44409	+	20.3176i	0.962388	+	3.59168i
$33$	3.07351	−	4.85320i	0.535030	−	0.844833i
$34$	−0.450075	+	0.259851i	−0.0771872	+	0.0445641i
$35$	−1.01715	−	10.2841i	−0.171930	−	1.73833i
$36$	−12.2216	+	10.7405i	−2.03694	+	1.79008i
$37$	1.47097	+	9.28733i	0.241826	+	1.52683i	0.747593	+	0.664157i	$0.231209\pi$
$37$	1.47097	+	9.28733i	0.241826	+	1.52683i	−0.505767	+	0.862670i	$0.668791\pi$
$38$	−0.295454	−	5.63760i	−0.0479289	−	0.914539i
$39$	2.18231	+	1.78908i	0.349449	+	0.286482i
$40$	15.4140	+	14.0510i	2.43716	+	2.22166i
$41$	3.77921	−	0.397211i	0.590214	−	0.0620340i	0.195287	−	0.980746i	$-0.437436\pi$
$41$	3.77921	−	0.397211i	0.590214	−	0.0620340i	0.394928	+	0.918712i	$0.370770\pi$
$42$	11.0187	−	18.8221i	1.70023	−	2.90432i
$43$	1.58171	−	5.90304i	0.241209	−	0.900205i	−0.734042	−	0.679104i	$-0.762368\pi$
$43$	1.58171	−	5.90304i	0.241209	−	0.900205i	0.975251	−	0.221101i	$-0.0709649\pi$
$44$	−8.44449	−	15.8822i	−1.27305	−	2.39433i
$45$	−1.85377	+	6.44698i	−0.276344	+	0.961059i
$46$	−3.15555	−	1.02530i	−0.465260	−	0.151172i
$47$	1.06978	+	2.78687i	0.156044	+	0.406507i	0.989208	−	0.146518i	$-0.0468066\pi$
$47$	1.06978	+	2.78687i	0.156044	+	0.406507i	−0.833164	+	0.553025i	$0.813473\pi$
$48$	5.09698	+	24.7107i	0.735686	+	3.56669i
$49$	−2.98552	+	14.0458i	−0.426503	+	2.00654i
$50$	13.4281	+	2.29605i	1.89903	+	0.324710i
$51$	−0.295268	+	0.148212i	−0.0413457	+	0.0207538i
$52$	8.24924	−	3.16659i	1.14396	−	0.439127i
$53$	−3.28307	−	6.44339i	−0.450964	−	0.885068i	−0.998823	−	0.0484969i	$-0.984557\pi$
$53$	−3.28307	−	6.44339i	−0.450964	−	0.885068i	0.547859	−	0.836571i	$-0.315443\pi$
$54$	−11.1617	+	8.70922i	−1.51891	+	1.18517i
$55$	−6.46413	−	3.63525i	−0.871623	−	0.490176i
$56$	−21.5544	−	37.3333i	−2.88033	−	4.98888i
$57$	0.0216275	−	3.58871i	0.00286463	−	0.475337i
$58$	2.33788	+	1.89318i	0.306979	+	0.248586i
$59$	−5.13287	−	11.5286i	−0.668242	−	1.50090i	−0.855074	−	0.518505i	$-0.826489\pi$
$59$	−5.13287	−	11.5286i	−0.668242	−	1.50090i	0.186832	−	0.982392i	$-0.440178\pi$
$60$	14.6711	+	15.0323i	1.89403	+	1.94066i
$61$	−2.89098	−	2.60305i	−0.370152	−	0.333286i	0.462972	−	0.886373i	$-0.346783\pi$
$61$	−2.89098	−	2.60305i	−0.370152	−	0.333286i	−0.833124	+	0.553087i	$0.813450\pi$
$62$	−4.14577	+	0.656626i	−0.526514	+	0.0833916i
$63$	7.69098	−	11.5362i	0.968972	−	1.45343i
$64$	26.7971	+	8.70690i	3.34963	+	1.08836i
$65$	2.15940	−	2.93413i	0.267840	−	0.363934i
$66$	−6.52891	−	14.2249i	−0.803653	−	1.75096i
$67$	−1.37686	+	0.368929i	−0.168210	+	0.0450718i	−0.341941	−	0.939721i	$-0.611084\pi$
$67$	−1.37686	+	0.368929i	−0.168210	+	0.0450718i	0.173731	+	0.984793i	$0.444418\pi$
$68$	−0.0541412	+	1.03308i	−0.00656559	+	0.125279i
$69$	−1.96455	−	0.767736i	−0.236504	−	0.0924245i
$70$	−25.0091	−	12.9366i	−2.98916	−	1.54622i
$71$	1.32962	+	4.09216i	0.157797	+	0.485650i	0.998434	−	0.0559500i	$-0.0178187\pi$
$71$	1.32962	+	4.09216i	0.157797	+	0.485650i	−0.840636	+	0.541600i	$0.817819\pi$
$72$	4.04404	+	27.6890i	0.476595	+	3.26319i
$73$	0.492881	+	3.11193i	0.0576873	+	0.364223i	0.999598	+	0.0283594i	$0.00902828\pi$
$73$	0.492881	+	3.11193i	0.0576873	+	0.364223i	−0.941910	+	0.335864i	$0.890972\pi$
$74$	23.4048	+	10.4205i	2.72075	+	1.21136i
$75$	8.43665	+	1.95525i	0.974180	+	0.225773i
$76$	−9.73182	−	5.61867i	−1.11632	−	0.644505i
$77$	10.4537	+	11.2105i	1.19131	+	1.27755i
$78$	7.32651	−	2.33181i	0.829564	−	0.264025i
$79$	8.90931	−	1.89373i	1.00238	−	0.213061i	0.322642	−	0.946521i	$-0.395429\pi$
$79$	8.90931	−	1.89373i	1.00238	−	0.213061i	0.679733	+	0.733460i	$0.262096\pi$
$80$	31.5142	−	8.23732i	3.52340	−	0.920961i
$81$	−7.40655	+	5.11303i	−0.822950	+	0.568114i
$82$	4.70043	−	9.22511i	0.519076	−	1.01874i
$83$	−2.32510	+	0.121853i	−0.255213	+	0.0133751i	−0.179513	−	0.983756i	$-0.557452\pi$
$83$	−2.32510	+	0.121853i	−0.255213	+	0.0133751i	−0.0756995	+	0.997131i	$0.524119\pi$
$84$	−19.4763	−	38.8006i	−2.12503	−	4.23349i
$85$	0.210988	+	0.370676i	0.0228849	+	0.0402054i
$86$	−11.1416	−	12.3740i	−1.20143	−	1.33432i
$87$	1.41345	+	1.28818i	0.151537	+	0.138107i
$88$	−30.8184	−	2.69662i	−3.28525	−	0.287460i
$89$			3.94279i			0.417935i	0.977923	+	0.208968i	$0.0670103\pi$
$89$			3.94279i			0.417935i	−0.977923	+	0.208968i	$0.932990\pi$
$90$	11.9808	+	13.8028i	1.26289	+	1.45494i
$91$	−6.09171	+	4.42588i	−0.638584	+	0.463959i
$92$	−5.13268	+	4.15637i	−0.535119	+	0.433331i
$93$	−2.65536	+	0.262921i	−0.275348	+	0.0272636i
$94$	7.95561	+	1.69102i	0.820558	+	0.174415i
$95$	−4.62814	+	0.214087i	−0.474838	+	0.0219649i
$96$	33.9334	+	13.2610i	3.46332	+	1.35345i
$97$	−8.44308	−	5.48300i	−0.857265	−	0.556714i	0.0395012	−	0.999220i	$-0.487423\pi$
$97$	−8.44308	−	5.48300i	−0.857265	−	0.556714i	−0.896766	+	0.442505i	$0.854090\pi$
$98$	27.6649	+	27.6649i	2.79458	+	2.79458i
$99$	−3.61572	−	9.26966i	−0.363394	−	0.931636i
$100$	18.3910	−	19.9280i	1.83910	−	1.99280i
$101$	2.18669	+	10.2876i	0.217584	+	1.02365i	0.942343	+	0.334650i	$0.108618\pi$
$101$	2.18669	+	10.2876i	0.217584	+	1.02365i	−0.724759	+	0.689003i	$0.758049\pi$
$102$	−0.0994846	+	0.894636i	−0.00985044	+	0.0885821i
$103$	−6.94741	+	18.0986i	−0.684549	+	1.78331i	−0.0656464	+	0.997843i	$0.520911\pi$
$103$	−6.94741	+	18.0986i	−0.684549	+	1.78331i	−0.618902	+	0.785468i	$0.712422\pi$
$104$	3.15961	−	14.8648i	0.309826	−	1.45762i
$105$	−15.3915	−	9.13762i	−1.50205	−	0.891741i
$106$	−19.5953	−	2.05955i	−1.90326	−	0.200041i
$107$	−0.342382	+	2.16171i	−0.0330993	+	0.208981i	−0.998695	−	0.0510662i	$-0.983738\pi$
$107$	−0.342382	+	2.16171i	−0.0330993	+	0.208981i	0.965596	+	0.260047i	$0.0837380\pi$
$108$	2.43857	+	28.0755i	0.234652	+	2.70156i
$109$	−10.0524			−0.962845			−0.481423	−	0.876489i	$-0.659880\pi$
$109$	−10.0524			−0.962845			−0.481423	+	0.876489i	$0.659880\pi$
$110$	−17.8990	+	9.37640i	−1.70660	+	0.894005i
$111$	14.4667	+	7.48130i	1.37312	+	0.710093i
$112$	−67.2316	−	3.52346i	−6.35279	−	0.332935i
$113$	10.3711	+	8.39836i	0.975632	+	0.790052i	0.977713	−	0.209946i	$-0.0673289\pi$
$113$	10.3711	+	8.39836i	0.975632	+	0.790052i	−0.00208054	+	0.999998i	$0.500662\pi$
$114$	−8.16828	−	5.37480i	−0.765030	−	0.503397i
$115$	−0.857330	+	2.58453i	−0.0799464	+	0.241008i
$116$	5.69508	−	1.85044i	0.528775	−	0.171809i
$117$	4.73608	−	1.20804i	0.437851	−	0.111683i
$118$	−33.9602	−	5.37877i	−3.12629	−	0.495156i
$119$	−0.183285	−	0.862286i	−0.0168017	−	0.0790456i
$120$	35.4249	−	7.08065i	3.23384	−	0.646372i
$121$	10.8930	−	1.53065i	0.990271	−	0.139150i
$122$	−10.2381	+	2.74329i	−0.926912	+	0.248365i
$123$	3.32522	−	5.68011i	0.299825	−	0.512158i
$124$	−3.39839	+	7.63290i	−0.305184	+	0.685454i
$125$	1.95193	−	11.0086i	0.174586	−	0.984642i
$126$	−14.9480	−	34.6932i	−1.33167	−	3.09071i
$127$	12.8771	+	6.56123i	1.14266	+	0.582215i	0.919704	−	0.392614i	$-0.128429\pi$
$127$	12.8771	+	6.56123i	1.14266	+	0.582215i	0.222957	+	0.974828i	$0.428429\pi$
$128$	26.9670	−	21.8375i	2.38357	−	1.93018i
$129$	−6.61169	−	8.26611i	−0.582126	−	0.727791i
$130$	−3.50024	−	9.28836i	−0.306991	−	0.814643i
$131$	−6.36328	−	3.67384i	−0.555962	−	0.320985i	0.195561	−	0.980692i	$-0.437347\pi$
$131$	−6.36328	−	3.67384i	−0.555962	−	0.320985i	−0.751523	+	0.659707i	$0.770681\pi$
$132$	−30.8255	−	4.52221i	−2.68302	−	0.393608i
$133$	9.24966	+	2.47844i	0.802047	+	0.214908i
$134$	−1.20014	+	3.69366i	−0.103676	+	0.319083i
$135$	7.09127	+	9.20401i	0.610320	+	0.792155i
$136$	1.43939	+	1.04578i	0.123427	+	0.0896747i
$137$	9.76578	−	0.511803i	0.834347	−	0.0437263i	0.369623	−	0.929182i	$-0.379487\pi$
$137$	9.76578	−	0.511803i	0.834347	−	0.0437263i	0.464724	+	0.885456i	$0.346154\pi$
$138$	−4.66956	+	3.34983i	−0.397499	+	0.285156i
$139$	2.23067	−	0.993159i	0.189203	−	0.0842386i	−0.309948	−	0.950753i	$-0.600312\pi$
$139$	2.23067	−	0.993159i	0.189203	−	0.0842386i	0.499151	+	0.866515i	$0.333645\pi$
$140$	−48.7098	+	27.7256i	−4.11673	+	2.34324i
$141$	4.98609	+	1.36828i	0.419905	+	0.115230i
$142$	11.3238	+	3.03421i	0.950275	+	0.254625i
$143$	0.0942433	+	5.40276i	0.00788102	+	0.451801i
$144$	39.7060	+	18.2548i	3.30883	+	1.52123i
$145$	1.56546	−	1.90912i	0.130005	−	0.158543i
$146$	7.84229	+	3.49161i	0.649033	+	0.288968i
$147$	16.5306	+	18.5831i	1.36342	+	1.53271i
$148$	42.7700	−	27.7752i	3.51567	−	2.28311i
$149$	−9.61414	−	2.04355i	−0.787621	−	0.167414i	−0.203494	−	0.979076i	$-0.565230\pi$
$149$	−9.61414	−	2.04355i	−0.787621	−	0.167414i	−0.584127	+	0.811662i	$0.698563\pi$
$150$	16.9872	−	16.3767i	1.38700	−	1.33715i
$151$	−2.12759	+	4.77864i	−0.173141	+	0.388880i	−0.979184	−	0.202977i	$-0.934938\pi$
$151$	−2.12759	+	4.77864i	−0.173141	+	0.388880i	0.806043	+	0.591857i	$0.201605\pi$
$152$	−17.2202	+	8.77410i	−1.39674	+	0.711674i
$153$	−0.0963223	+	0.564067i	−0.00778719	+	0.0456021i
$154$	41.1290	−	7.25167i	3.31427	−	0.584356i
$155$	0.518005	+	3.40565i	0.0416072	+	0.273549i
$156$	4.05015	−	14.7590i	0.324271	−	1.18167i
$157$	5.43167	−	6.70755i	0.433494	−	0.535321i	−0.512851	−	0.858477i	$-0.671411\pi$
$157$	5.43167	−	6.70755i	0.433494	−	0.535321i	0.946345	+	0.323157i	$0.104744\pi$
$158$	8.89349	−	23.1683i	0.707528	−	1.84317i
$159$	−12.3592	−	2.03393i	−0.980151	−	0.161302i
$160$	14.8085	−	44.6422i	1.17072	−	3.52928i
$161$	3.30811	−	4.55322i	0.260715	−	0.358844i
$162$	0.692737	+	24.5117i	0.0544266	+	1.92582i
$163$	1.27879	+	2.50976i	0.100162	+	0.196579i	0.935650	−	0.352930i	$-0.114815\pi$
$163$	1.27879	+	2.50976i	0.100162	+	0.196579i	−0.835488	+	0.549509i	$0.814815\pi$
$164$	−10.3047	−	17.8482i	−0.804660	−	1.39371i
$165$	−11.7070	+	5.28651i	−0.911385	+	0.411555i
$166$	−3.17184	+	5.49378i	−0.246182	+	0.426400i
$167$	10.0594	+	0.527192i	0.778422	+	0.0407954i	0.437408	−	0.899263i	$-0.355896\pi$
$167$	10.0594	+	0.527192i	0.778422	+	0.0407954i	0.341013	+	0.940058i	$0.389230\pi$
$168$	−74.2093	−	8.25216i	−5.72537	−	0.636668i
$169$	10.2889	+	1.08141i	0.791454	+	0.0831852i
$170$	1.16010	+	0.0679377i	0.0889757	+	0.00521058i
$171$	−4.98441	−	3.71399i	−0.381167	−	0.284016i
$172$	−32.7363	+	5.18491i	−2.49612	+	0.395346i
$173$	4.20717	+	10.9601i	0.319865	+	0.833278i	0.995387	+	0.0959381i	$0.0305851\pi$
$173$	4.20717	+	10.9601i	0.319865	+	0.833278i	−0.675522	+	0.737340i	$0.736082\pi$
$174$	5.04100	−	1.31822i	0.382157	−	0.0999343i
$175$	−10.7427	+	20.4593i	−0.812075	+	1.54658i
$176$	−29.7452	+	38.0713i	−2.24213	+	2.86973i
$177$	−21.3524	−	4.67327i	−1.60495	−	0.351264i
$178$	9.00946	+	5.85081i	0.675288	+	0.438537i
$179$	6.66184	+	9.16923i	0.497929	+	0.685341i	0.981826	−	0.189785i	$-0.0607789\pi$
$179$	6.66184	+	9.16923i	0.497929	+	0.685341i	−0.483897	+	0.875125i	$0.660779\pi$
$180$	36.0314	−	5.03689i	2.68562	−	0.375427i
$181$	−3.70921	−	11.4158i	−0.275703	−	0.848528i	−0.989032	−	0.147698i	$-0.952814\pi$
$181$	−3.70921	−	11.4158i	−0.275703	−	0.848528i	0.713329	−	0.700829i	$-0.247186\pi$
$182$	1.07370	+	20.4875i	0.0795883	+	1.51864i
$183$	−6.59910	+	1.36117i	−0.487819	+	0.100620i
$184$	1.18732	+	11.2966i	0.0875307	+	0.832799i
$185$	8.66971	−	19.1553i	0.637410	−	1.40833i
$186$	−3.33958	+	6.45778i	−0.244870	+	0.473508i
$187$	−0.582333	−	0.247193i	−0.0425844	−	0.0180766i
$188$	11.4480	−	11.4480i	0.834928	−	0.834928i
$189$	−8.19940	−	22.5716i	−0.596418	−	1.64184i
$190$	−6.37862	+	10.8932i	−0.462754	+	0.790277i
$191$	−0.0634000	+	0.603210i	−0.00458746	+	0.0436468i	−0.996576	−	0.0826799i	$-0.973652\pi$
$191$	−0.0634000	+	0.603210i	−0.00458746	+	0.0436468i	0.991989	+	0.126327i	$0.0403188\pi$
$192$	39.6542	−	28.4469i	2.86179	−	2.05298i
$193$	−3.27888	−	5.04903i	−0.236019	−	0.363437i	0.700738	−	0.713419i	$-0.252854\pi$
$193$	−3.27888	−	5.04903i	−0.236019	−	0.363437i	−0.936756	+	0.349982i	$0.886188\pi$
$194$	−25.0578	+	11.1565i	−1.79905	+	0.800987i
$195$	−1.87678	−	6.02446i	−0.134399	−	0.431420i
$196$	76.1768	−	16.1919i	5.44120	−	1.15656i
$197$	18.1047	−	18.1047i	1.28991	−	1.28991i	0.355068	−	0.934840i	$-0.384458\pi$
$197$	18.1047	−	18.1047i	1.28991	−	1.28991i	0.934840	−	0.355068i	$-0.115542\pi$
$198$	−26.5471	−	5.49340i	−1.88662	−	0.390399i
$199$		−	15.2512i		−	1.08113i	−0.841302	−	0.540566i	$-0.818210\pi$
$199$		−	15.2512i		−	1.08113i	0.841302	−	0.540566i	$-0.181790\pi$
$200$	−11.5171	−	45.1936i	−0.814385	−	3.19567i
$201$	−0.898657	+	2.29956i	−0.0633863	+	0.162199i
$202$	26.7525	+	10.2693i	1.88230	+	0.722547i
$203$	−4.27960	+	2.77921i	−0.300369	+	0.195062i
$204$	1.38567	+	1.13599i	0.0970161	+	0.0795349i
$205$	−7.54719	−	3.90399i	−0.527119	−	0.272667i
$206$	31.0467	+	42.7322i	2.16313	+	2.97729i
$207$	−3.08768	+	1.95266i	−0.214608	+	0.135719i
$208$	−16.7820	−	16.7820i	−1.16362	−	1.16362i
$209$	5.26430	−	4.41717i	0.364139	−	0.305542i
$210$	−43.7197	+	21.6106i	−3.01694	+	1.49128i
$211$	−3.23152	+	2.90967i	−0.222467	+	0.200310i	−0.772826	−	0.634618i	$-0.781157\pi$
$211$	−3.23152	+	2.90967i	−0.222467	+	0.200310i	0.550359	+	0.834928i	$0.314491\pi$
$212$	−24.6821	+	30.4799i	−1.69518	+	2.09337i
$213$	7.07382	+	2.34565i	0.484690	+	0.160721i
$214$	4.43154	+	3.99018i	0.302934	+	0.272763i
$215$	−10.2111	+	9.08134i	−0.696395	+	0.619343i
$216$	42.7801	+	22.7810i	2.91082	+	1.55005i
$217$	1.11381	−	7.03231i	0.0756103	−	0.477384i
$218$	−14.9170	+	22.9702i	−1.01031	+	1.55574i
$219$	4.84738	+	2.50678i	0.327556	+	0.169392i
$220$	−3.75176	+	40.0462i	−0.252943	+	2.69991i
$221$	0.155384	−	0.269133i	0.0104523	−	0.0181038i
$222$	38.5626	−	21.9553i	2.58815	−	1.47354i
$223$	−5.26095	+	2.01949i	−0.352299	+	0.135235i	−0.528081	−	0.849194i	$-0.677088\pi$
$223$	−5.26095	+	2.01949i	−0.352299	+	0.135235i	0.175782	+	0.984429i	$0.443755\pi$
$224$	−57.1405	+	78.6471i	−3.81786	+	5.25483i
$225$	11.3880	−	9.76288i	0.759199	−	0.650859i
$226$	34.5806	−	11.2359i	2.30027	−	0.747402i
$227$	−5.96068	−	7.36083i	−0.395624	−	0.488555i	0.539944	−	0.841701i	$-0.318445\pi$
$227$	−5.96068	−	7.36083i	−0.395624	−	0.488555i	−0.935568	+	0.353145i	$0.885112\pi$
$228$	−17.8283	+	7.80927i	−1.18071	+	0.517182i
$229$	−16.8430	+	15.1655i	−1.11301	+	1.00216i	−0.113051	+	0.993589i	$0.536062\pi$
$229$	−16.8430	+	15.1655i	−1.11301	+	1.00216i	−0.999963	+	0.00857344i	$0.997271\pi$
$230$	4.63355	+	5.79429i	0.305527	+	0.382064i
$231$	26.3705	−	3.07638i	1.73505	−	0.202411i
$232$	2.66552	−	9.94786i	0.175000	−	0.653109i
$233$	−14.6130	+	7.44571i	−0.957332	+	0.487785i	−0.861581	−	0.507621i	$-0.830525\pi$
$233$	−14.6130	+	7.44571i	−0.957332	+	0.487785i	−0.0957508	+	0.995405i	$0.530525\pi$
$234$	4.26756	−	12.6148i	0.278979	−	0.824655i
$235$	1.42784	−	6.52049i	0.0931420	−	0.425350i
$236$	−45.7968	+	50.8625i	−2.98112	+	3.31087i
$237$	6.50346	−	14.3733i	0.422445	−	0.933644i
$238$	−2.24234	−	0.860755i	−0.145350	−	0.0557945i
$239$	0.0754895	+	0.718235i	0.00488301	+	0.0464587i	0.996692	−	0.0812706i	$-0.0258978\pi$
$239$	0.0754895	+	0.718235i	0.00488301	+	0.0464587i	−0.991809	+	0.127729i	$0.959231\pi$
$240$	20.8575	−	52.4210i	1.34635	−	3.38376i
$241$	−20.6929	+	11.9470i	−1.33294	+	0.769576i	−0.985750	−	0.168217i	$-0.946199\pi$
$241$	−20.6929	+	11.9470i	−1.33294	+	0.769576i	−0.347195	+	0.937793i	$0.612866\pi$
$242$	12.6668	−	27.1623i	0.814251	−	1.74606i
$243$	−0.469645	+	15.5814i	−0.0301278	+	0.999546i
$244$	−6.51975	+	20.0657i	−0.417384	+	1.28458i
$245$	22.8433	−	22.5647i	1.45941	−	1.44161i
$246$	−8.04494	−	16.0271i	−0.512927	−	1.02185i
$247$	1.83857	+	2.83115i	0.116985	+	0.180142i
$248$	7.82638	+	12.0516i	0.496976	+	0.765275i
$249$	−2.21672	+	3.36882i	−0.140479	+	0.213491i
$250$	−22.2587	−	20.7962i	−1.40776	−	1.31527i
$251$	−0.847044	+	2.60693i	−0.0534650	+	0.164548i	−0.974224	−	0.225584i	$-0.927571\pi$
$251$	−0.847044	+	2.60693i	−0.0534650	+	0.164548i	0.920759	+	0.390133i	$0.127571\pi$
$252$	−74.1230	−	12.6575i	−4.66931	−	0.797350i
$253$	−1.31489	−	3.81885i	−0.0826662	−	0.240089i
$254$	34.1014	−	19.6885i	2.13971	−	1.23536i
$255$	0.733708	+	0.0861494i	0.0459466	+	0.00539489i
$256$	−3.99212	−	37.9825i	−0.249508	−	2.37391i
$257$	−17.5977	−	6.75512i	−1.09771	−	0.421373i	−0.258962	−	0.965887i	$-0.583381\pi$
$257$	−17.5977	−	6.75512i	−1.09771	−	0.421373i	−0.838751	+	0.544515i	$0.816714\pi$
$258$	−28.6997	+	2.84170i	−1.78677	+	0.176917i
$259$	−29.0789	+	32.2954i	−1.80687	+	2.00674i
$260$	−19.3009	−	4.22645i	−1.19699	−	0.262114i
$261$	3.24804	−	0.649578i	0.201049	−	0.0402078i
$262$	−17.8375	+	9.08868i	−1.10201	+	0.561500i
$263$	−5.83570	+	21.7791i	−0.359845	+	1.34296i	0.514432	+	0.857531i	$0.328003\pi$
$263$	−5.83570	+	21.7791i	−0.359845	+	1.34296i	−0.874277	+	0.485428i	$0.838664\pi$
$264$	−35.3971	+	40.2266i	−2.17854	+	2.47578i
$265$	−1.78889	+	16.0711i	−0.109891	+	0.987237i
$266$	19.3892	−	17.4581i	1.18883	−	1.07042i
$267$	5.50058	+	4.04728i	0.336630	+	0.247689i
$268$	4.86514	+	6.00795i	0.297186	+	0.366994i
$269$	−0.324060	+	0.105293i	−0.0197583	+	0.00641985i	−0.318879	−	0.947795i	$-0.603307\pi$
$269$	−0.324060	+	0.105293i	−0.0197583	+	0.00641985i	0.299121	+	0.954215i	$0.403307\pi$
$270$	31.5545	−	2.54581i	1.92035	−	0.154933i
$271$	−4.47383	+	6.15770i	−0.271766	+	0.374054i	−0.922985	−	0.384836i	$-0.874258\pi$
$271$	−4.47383	+	6.15770i	−0.271766	+	0.374054i	0.651219	+	0.758890i	$0.274258\pi$
$272$	2.59403	−	0.995756i	0.157286	−	0.0603765i
$273$	−0.0785962	+	13.0417i	−0.00475686	+	0.789319i
$274$	13.3222	−	23.0747i	0.804823	−	1.39399i
$275$	7.60489	+	14.7365i	0.458592	+	0.888647i
$276$	0.529836	+	11.4271i	0.0318924	+	0.687831i
$277$	−12.8206	+	19.7420i	−0.770316	+	1.18618i	0.207810	+	0.978169i	$0.433366\pi$
$277$	−12.8206	+	19.7420i	−0.770316	+	1.18618i	−0.978126	+	0.208014i	$0.933300\pi$
$278$	1.04074	−	6.57096i	0.0624193	−	0.394100i
$279$	−2.35893	+	3.97438i	−0.141226	+	0.237940i
$280$	−5.63537	+	96.2294i	−0.336778	+	5.75081i
$281$	−14.8732	−	13.3919i	−0.887264	−	0.798896i	0.0931895	−	0.995648i	$-0.470294\pi$
$281$	−14.8732	−	13.3919i	−0.887264	−	0.798896i	−0.980453	+	0.196753i	$0.936960\pi$
$282$	10.5256	−	9.36302i	0.626788	−	0.557560i
$283$	10.1573	−	12.5432i	0.603789	−	0.745617i	−0.379992	−	0.924990i	$-0.624073\pi$
$283$	10.1573	−	12.5432i	0.603789	−	0.745617i	0.983781	+	0.179373i	$0.0574067\pi$
$284$	17.3419	−	15.6147i	1.02905	−	0.926564i
$285$	−4.45212	+	6.67647i	−0.263721	+	0.395480i
$286$	12.4854	+	7.80194i	0.738277	+	0.461338i
$287$	12.4185	+	12.4185i	0.733039	+	0.733039i
$288$	53.3331	−	33.7280i	3.14268	−	1.98744i
$289$	−9.97096	−	13.7239i	−0.586527	−	0.807286i
$290$	−2.03939	−	6.41014i	−0.119757	−	0.376416i
$291$	−16.3161	+	6.15062i	−0.956469	+	0.360556i
$292$	14.3311	−	9.30669i	0.838661	−	0.544633i
$293$	15.2169	+	5.84123i	0.888982	+	0.341248i	0.759634	−	0.650351i	$-0.225378\pi$
$293$	15.2169	+	5.84123i	0.888982	+	0.341248i	0.129348	+	0.991599i	$0.458711\pi$
$294$	66.9933	−	10.1972i	3.90713	−	0.594714i
$295$	−4.58523	+	27.8433i	−0.266963	+	1.62110i
$296$		−	87.7083i		−	5.09794i
$297$	−16.6436	−	4.47102i	−0.965761	−	0.259435i
$298$	−18.9363	+	18.9363i	−1.09695	+	1.09695i
$299$	1.94068	−	0.412505i	0.112232	−	0.0238558i
$300$	−8.92315	−	46.1132i	−0.515178	−	2.66235i
$301$	25.8023	−	11.4879i	1.48722	−	0.662152i
$302$	7.76223	+	11.9528i	0.446666	+	0.687806i
$303$	16.5968	+	7.50955i	0.953462	+	0.431412i
$304$	−3.15496	+	30.0174i	−0.180949	+	1.72162i
$305$	2.19981	+	8.41599i	0.125961	+	0.481898i
$306$	1.14598	+	1.05713i	0.0655115	+	0.0604323i
$307$	19.3202	−	19.3202i	1.10266	−	1.10266i	0.108571	−	0.994089i	$-0.465372\pi$
$307$	19.3202	−	19.3202i	1.10266	−	1.10266i	0.994089	−	0.108571i	$-0.0346275\pi$
$308$	32.4832	−	76.5233i	1.85090	−	4.36032i
$309$	18.1178	+	28.2706i	1.03069	+	1.60826i
$310$	8.55076	+	3.87007i	0.485650	+	0.219805i
$311$	−1.11448	−	10.6036i	−0.0631965	−	0.601275i	−0.979591	−	0.200999i	$-0.935581\pi$
$311$	−1.11448	−	10.6036i	−0.0631965	−	0.601275i	0.916395	−	0.400275i	$-0.131086\pi$
$312$	−17.4945	−	19.6667i	−0.990433	−	1.11341i
$313$	0.950235	+	18.1316i	0.0537105	+	1.02486i	0.883989	+	0.467508i	$0.154848\pi$
$313$	0.950235	+	18.1316i	0.0537105	+	1.02486i	−0.830278	+	0.557349i	$0.811819\pi$
$314$	−7.26687	−	22.3651i	−0.410093	−	1.26214i
$315$	−28.5472	+	12.0928i	−1.60845	+	0.681354i
$316$	−29.0359	−	39.9645i	−1.63340	−	2.24818i
$317$	−3.01186	−	1.95592i	−0.169163	−	0.109856i	0.457281	−	0.889322i	$-0.348823\pi$
$317$	−3.01186	−	1.95592i	−0.169163	−	0.109856i	−0.626444	+	0.779467i	$0.715490\pi$
$318$	−22.9878	+	25.2232i	−1.28909	+	1.41445i
$319$	−0.127842	+	3.65972i	−0.00715779	+	0.204905i
$320$	−39.3484	−	49.2054i	−2.19964	−	2.75067i
$321$	2.66435	+	2.69665i	0.148709	+	0.150513i
$322$	−5.49532	−	14.3158i	−0.306242	−	0.797789i
$323$	−0.390352	+	0.0618257i	−0.0217198	+	0.00344008i
$324$	41.6712	+	25.4174i	2.31507	+	1.41208i
$325$	−7.64038	+	2.82580i	−0.423812	+	0.156747i
$326$	7.63253	+	0.802211i	0.422727	+	0.0444304i
$327$	−10.3188	+	14.0241i	−0.570630	+	0.775533i
$328$	−35.3966	−	1.85506i	−1.95445	−	0.102428i
$329$	−6.89813	+	11.9479i	−0.380306	+	0.658710i
$330$	−5.29232	+	34.5957i	−0.291333	+	1.90443i
$331$	3.72641	+	6.45433i	0.204822	+	0.354762i	0.950076	−	0.312019i	$-0.101005\pi$
$331$	3.72641	+	6.45433i	0.204822	+	0.354762i	−0.745254	+	0.666781i	$0.767672\pi$
$332$	5.73273	+	11.2511i	0.314624	+	0.617485i
$333$	25.2872	−	12.5029i	1.38573	−	0.685153i
$334$	16.1321	−	22.2039i	0.882709	−	1.21495i
$335$	3.02526	+	1.00353i	0.165288	+	0.0548286i
$336$	−73.9288	+	90.1778i	−4.03315	+	4.91960i
$337$	12.2116	−	31.8123i	0.665209	−	1.73293i	−0.0149767	−	0.999888i	$-0.504767\pi$
$337$	12.2116	−	31.8123i	0.665209	−	1.73293i	0.680185	−	0.733040i	$-0.261899\pi$
$338$	17.7390	−	21.9059i	0.964876	−	1.19152i
$339$	22.3625	−	5.84780i	1.21456	−	0.317609i
$340$	1.37112	−	1.86304i	0.0743594	−	0.101038i
$341$	−3.67543	−	3.54940i	−0.199035	−	0.192211i
$342$	−15.8831	+	5.87831i	−0.858861	+	0.317863i
$343$	−30.3060	+	15.4417i	−1.63637	+	0.833772i
$344$	−23.1854	+	52.0753i	−1.25007	+	2.80771i
$345$	2.72562	+	3.84908i	0.146742	+	0.207227i
$346$	31.2874	+	6.65034i	1.68202	+	0.357524i
$347$	−19.7685	+	12.8378i	−1.06123	+	0.689171i	−0.952388	−	0.304888i	$-0.901381\pi$
$347$	−19.7685	+	12.8378i	−1.06123	+	0.689171i	−0.108842	+	0.994059i	$0.534714\pi$
$348$	3.26445	−	9.84467i	0.174993	−	0.527730i
$349$	−30.8985	−	13.7569i	−1.65396	−	0.736389i	−0.654156	−	0.756360i	$-0.726976\pi$
$349$	−30.8985	−	13.7569i	−1.65396	−	0.736389i	−0.999801	+	0.0199707i	$0.993643\pi$
$350$	30.8090	+	54.9077i	1.64681	+	2.93494i
$351$	3.17625	−	7.84735i	0.169536	−	0.418860i
$352$	22.7119	+	65.9625i	1.21055	+	3.51581i
$353$	−31.0239	−	8.31283i	−1.65124	−	0.442447i	−0.691278	−	0.722589i	$-0.742952\pi$
$353$	−31.0239	−	8.31283i	−1.65124	−	0.442447i	−0.959959	+	0.280142i	$0.909619\pi$
$354$	−42.3640	+	41.8565i	−2.25162	+	2.22465i
$355$	2.54713	−	9.27796i	0.135188	−	0.492423i
$356$	19.5349	−	8.69750i	1.03535	−	0.460967i
$357$	−1.39111	−	0.629437i	−0.0736256	−	0.0333133i
$358$	30.8378	−	1.61614i	1.62983	−	0.0854157i
$359$	−13.0056	−	9.44913i	−0.686410	−	0.498706i	0.189068	−	0.981964i	$-0.439453\pi$
$359$	−13.0056	−	9.44913i	−0.686410	−	0.498706i	−0.875478	+	0.483258i	$0.839453\pi$
$360$	26.4855	−	56.6896i	1.39591	−	2.98780i
$361$	−4.54468	+	13.9871i	−0.239194	+	0.736162i
$362$	−31.5897	−	8.46445i	−1.66032	−	0.444881i
$363$	9.04624	−	16.7680i	0.474804	−	0.880091i
$364$	35.3663	+	20.4187i	1.85370	+	1.07023i
$365$	2.90498	−	6.41842i	0.152054	−	0.335956i
$366$	−6.68224	+	17.0991i	−0.349286	+	0.893785i
$367$	−5.32197	+	4.30965i	−0.277805	+	0.224962i	−0.758089	−	0.652151i	$-0.773867\pi$
$367$	−5.32197	+	4.30965i	−0.277805	+	0.224962i	0.480284	+	0.877113i	$0.340533\pi$
$368$	15.8059	+	8.05349i	0.823938	+	0.419817i
$369$	−4.51098	−	10.4696i	−0.234832	−	0.545027i
$370$	−30.9056	−	48.2358i	−1.60671	−	2.50766i
$371$	13.5939	−	30.5323i	0.705758	−	1.58516i
$372$	7.16020	+	12.5762i	0.371239	+	0.652048i
$373$	−5.15718	+	1.38186i	−0.267029	+	0.0715501i	−0.389849	−	0.920879i	$-0.627473\pi$
$373$	−5.15718	+	1.38186i	−0.267029	+	0.0715501i	0.122820	+	0.992429i	$0.460806\pi$
$374$	−1.42899	+	0.963840i	−0.0738911	+	0.0498390i
$375$	−13.3545	−	14.0235i	−0.689621	−	0.724170i
$376$	−5.78915	−	27.2358i	−0.298552	−	1.40458i
$377$	−1.77673	−	0.281406i	−0.0915062	−	0.0144932i
$378$	−63.7445	−	14.7586i	−3.27866	−	0.759101i
$379$	17.9351	−	5.82746i	0.921263	−	0.299337i	0.190278	−	0.981730i	$-0.439061\pi$
$379$	17.9351	−	5.82746i	0.921263	−	0.299337i	0.730985	+	0.682394i	$0.239061\pi$
$380$	11.2700	+	22.4583i	0.578141	+	1.15209i
$381$	22.3719	−	11.2298i	1.14615	−	0.575318i
$382$	1.28428	+	1.03999i	0.0657096	+	0.0532106i
$383$	−26.4416	−	1.38574i	−1.35110	−	0.0708082i	−0.637007	−	0.770858i	$-0.719828\pi$
$383$	−26.4416	−	1.38574i	−1.35110	−	0.0708082i	−0.714094	+	0.700050i	$0.753161\pi$
$384$	−2.78375	−	60.0378i	−0.142058	−	3.06379i
$385$	−5.74420	−	33.7902i	−0.292752	−	1.72211i
$386$	−16.4029			−0.834884
$387$	−18.3189	+	0.738780i	−0.931204	+	0.0375543i
$388$	−8.54120	+	53.9270i	−0.433614	+	2.73773i
$389$	21.1271	+	2.22054i	1.07118	+	0.112586i	0.623668	−	0.781689i	$-0.285642\pi$
$389$	21.1271	+	2.22054i	1.07118	+	0.112586i	0.447517	+	0.894276i	$0.352308\pi$
$390$	−16.5512	−	4.65133i	−0.838100	−	0.235529i
$391$	−0.0482941	+	0.227206i	−0.00244234	+	0.0114903i
$392$	47.9999	−	125.044i	2.42436	−	6.31567i
$393$	−11.6573	+	5.10620i	−0.588032	+	0.257574i
$394$	−14.5041	−	68.2362i	−0.730704	−	3.43769i
$395$	−18.9690	−	7.41535i	−0.954433	−	0.373107i
$396$	−37.9513	+	38.3626i	−1.90713	+	1.92779i
$397$	−9.63209	−	9.63209i	−0.483421	−	0.483421i	0.422802	−	0.906222i	$-0.361047\pi$
$397$	−9.63209	−	9.63209i	−0.483421	−	0.483421i	−0.906222	+	0.422802i	$0.861047\pi$
$398$	−34.8498	−	22.6317i	−1.74686	−	1.13442i
$399$	12.9524	−	10.3601i	0.648433	−	0.518652i
$400$	−68.9892	−	23.3556i	−3.44946	−	1.16778i
$401$	−3.68900	−	0.784121i	−0.184220	−	0.0391571i	0.114878	−	0.993380i	$-0.463352\pi$
$401$	−3.68900	−	0.784121i	−0.184220	−	0.0391571i	−0.299098	+	0.954222i	$0.596686\pi$
$402$	3.92107	+	5.46585i	0.195565	+	0.272612i
$403$	1.95061	−	1.57957i	0.0971667	−	0.0786840i
$404$	46.1470	−	33.5278i	2.29590	−	1.66807i
$405$	20.1197	−	0.445097i	0.999755	−	0.0221171i
$406$			13.9032i			0.690005i
$407$	7.01509	+	30.3873i	0.347725	+	1.50624i
$408$	2.93650	−	0.934599i	0.145378	−	0.0462695i
$409$	−1.00115	−	1.11189i	−0.0495035	−	0.0549792i	0.717884	−	0.696162i	$-0.245111\pi$
$409$	−1.00115	−	1.11189i	−0.0495035	−	0.0549792i	−0.767388	+	0.641183i	$0.778444\pi$
$410$	−20.1203	+	11.4524i	−0.993669	+	0.565595i
$411$	9.31056	−	14.1496i	0.459256	−	0.697947i
$412$	104.997	−	5.50264i	5.17282	−	0.271096i
$413$	26.4783	−	51.9665i	1.30291	−	2.55711i
$414$	−0.119970	+	9.95309i	−0.00589619	+	0.489168i
$415$	4.49266	+	2.63072i	0.220536	+	0.129137i
$416$	−33.5211	+	7.12514i	−1.64351	+	0.349339i
$417$	0.904231	−	4.13148i	0.0442804	−	0.202320i
$418$	−2.28160	−	18.5839i	−0.111597	−	0.908969i
$419$	−23.7571	−	13.7162i	−1.16061	−	0.670078i	−0.209160	−	0.977882i	$-0.567073\pi$
$419$	−23.7571	−	13.7162i	−1.16061	−	0.670078i	−0.951450	+	0.307803i	$0.900406\pi$
$420$	−11.3207	+	96.4152i	−0.552396	+	4.70458i
$421$	18.1921	+	8.09966i	0.886630	+	0.394753i	0.798951	−	0.601396i	$-0.205388\pi$
$421$	18.1921	+	8.09966i	0.886630	+	0.394753i	0.0876787	+	0.996149i	$0.472055\pi$
$422$	1.85340	+	11.7019i	0.0902221	+	0.569640i
$423$	7.02710	−	5.55155i	0.341669	−	0.269925i
$424$	20.8442	+	64.1520i	1.01229	+	3.11549i
$425$	0.0615962	−	0.951729i	0.00298785	−	0.0461656i
$426$	15.8569	−	12.6832i	0.768271	−	0.614505i
$427$	0.940952	−	17.9544i	0.0455359	−	0.868876i
$428$	11.4657	−	3.07222i	0.554214	−	0.148501i
$429$	7.63412	+	5.41445i	0.368579	+	0.261412i
$430$	5.59870	+	36.8090i	0.269993	+	1.77509i
$431$	−33.3169	−	10.8253i	−1.60482	−	0.521437i	−0.636526	−	0.771255i	$-0.719629\pi$
$431$	−33.3169	−	10.8253i	−1.60482	−	0.521437i	−0.968293	+	0.249818i	$0.919629\pi$
$432$	66.2254	−	36.6551i	3.18627	−	1.76357i
$433$	25.5083	−	4.04012i	1.22585	−	0.194156i	0.490256	−	0.871578i	$-0.336903\pi$
$433$	25.5083	−	4.04012i	1.22585	−	0.194156i	0.735594	+	0.677423i	$0.236903\pi$
$434$	−14.4163	−	12.9805i	−0.692007	−	0.623085i
$435$	−1.05646	−	4.14368i	−0.0506532	−	0.198674i
$436$	22.1748	+	49.8055i	1.06198	+	2.38525i
$437$	−1.96089	−	1.58790i	−0.0938021	−	0.0759594i
$438$	12.9213	−	7.35662i	0.617401	−	0.351513i
$439$	−6.46337	−	11.1949i	−0.308480	−	0.534303i	0.669550	−	0.742767i	$-0.266487\pi$
$439$	−6.46337	−	11.1949i	−0.308480	−	0.534303i	−0.978030	+	0.208464i	$0.933154\pi$
$440$	54.2481	+	42.9229i	2.58618	+	2.04627i
$441$	42.8938	−	3.98625i	2.04256	−	0.189822i
$442$	−0.384403	−	0.754432i	−0.0182842	−	0.0358847i
$443$	19.6690	−	7.55022i	0.934502	−	0.358722i	0.156997	−	0.987599i	$-0.449819\pi$
$443$	19.6690	−	7.55022i	0.934502	−	0.358722i	0.777505	+	0.628877i	$0.216485\pi$
$444$	5.15434	−	88.1796i	0.244614	−	4.18482i
$445$	4.84700	−	7.36442i	0.229770	−	0.349107i
$446$	−3.19223	+	15.0183i	−0.151157	+	0.711136i
$447$	−12.7199	+	11.3150i	−0.601629	+	0.535179i
$448$	46.6666	+	121.571i	2.20479	+	5.74368i
$449$	−34.9002	−	11.3398i	−1.64704	−	0.535157i	−0.668947	−	0.743310i	$-0.733255\pi$
$449$	−34.9002	−	11.3398i	−1.64704	−	0.535157i	−0.978096	+	0.208153i	$0.933255\pi$
$450$	−5.40971	−	40.5095i	−0.255016	−	1.90963i
$451$	12.4118	−	2.18839i	0.584450	−	0.103047i
$452$	18.7325	−	69.9107i	0.881104	−	3.28832i
$453$	4.48270	+	7.87347i	0.210616	+	0.369928i
$454$	−25.6650	+	2.69750i	−1.20452	+	0.126600i
$455$	16.8191	−	0.778011i	0.788490	−	0.0364737i
$456$	−5.43575	+	33.0304i	−0.254552	+	1.54679i
$457$	−0.0780243	−	1.48879i	−0.00364982	−	0.0696428i	0.996197	−	0.0871255i	$-0.0277681\pi$
$457$	−0.0780243	−	1.48879i	−0.00364982	−	0.0696428i	−0.999847	+	0.0174828i	$0.994435\pi$
$458$	9.66009	+	60.9914i	0.451386	+	2.84994i
$459$	0.688053	+	0.713394i	0.0321156	+	0.0332984i
$460$	14.6965	−	1.45356i	0.685226	−	0.0677725i
$461$	−6.72339	+	3.88175i	−0.313140	+	0.180791i	−0.648331	−	0.761359i	$-0.724533\pi$
$461$	−6.72339	+	3.88175i	−0.313140	+	0.180791i	0.335191	+	0.942150i	$0.391199\pi$
$462$	32.1021	−	64.8228i	1.49353	−	3.01583i
$463$	2.99887	+	11.1919i	0.139369	+	0.520134i	0.999942	+	0.0108052i	$0.00343948\pi$
$463$	2.99887	+	11.1919i	0.139369	+	0.520134i	−0.860572	+	0.509328i	$0.829894\pi$
$464$	−10.7622	−	11.9526i	−0.499621	−	0.554885i
$465$	5.28295	+	2.77324i	0.244991	+	0.128606i
$466$	−4.67087	+	44.4403i	−0.216374	+	2.05866i
$467$	−15.0401	+	29.5179i	−0.695974	+	1.36593i	0.224250	+	0.974532i	$0.428007\pi$
$467$	−15.0401	+	29.5179i	−0.695974	+	1.36593i	−0.920223	+	0.391394i	$0.871993\pi$
$468$	−16.4328	−	20.8005i	−0.759605	−	0.961502i
$469$	−5.32967	−	3.87223i	−0.246101	−	0.178803i
$470$	−12.7808	−	12.9386i	−0.589535	−	0.596813i
$471$	−3.78208	−	14.4630i	−0.174269	−	0.666420i
$472$	30.4658	+	113.700i	1.40230	+	5.23347i
$473$	3.86770	−	19.8964i	0.177837	−	0.914836i
$474$	−23.1929	−	36.1896i	−1.06529	−	1.66224i
$475$	8.90771	+	5.28965i	0.408714	+	0.242706i
$476$	−3.86796	+	2.81024i	−0.177288	+	0.128807i
$477$	−15.5243	+	15.1545i	−0.710808	+	0.693877i
$478$	1.75322	+	0.893310i	0.0801904	+	0.0408590i
$479$	−2.27527	+	2.52694i	−0.103960	+	0.115459i	−0.792879	−	0.609379i	$-0.791419\pi$
$479$	−2.27527	+	2.52694i	−0.103960	+	0.115459i	0.688919	+	0.724838i	$0.258085\pi$
$480$	−47.0793	−	66.4846i	−2.14887	−	3.03459i
$481$	−15.2360	+	1.60137i	−0.694701	+	0.0730160i
$482$	−3.40717	+	65.0126i	−0.155192	+	2.96124i
$483$	−2.95641	−	9.28901i	−0.134521	−	0.422665i
$484$	−31.6129	−	50.5937i	−1.43695	−	2.29971i
$485$	9.02970	+	20.6206i	0.410018	+	0.936333i
$486$	34.9072	+	24.1948i	1.58342	+	1.09750i
$487$	26.1765	+	4.14595i	1.18617	+	0.187871i	0.718177	−	0.695860i	$-0.244977\pi$
$487$	26.1765	+	4.14595i	1.18617	+	0.187871i	0.467994	+	0.883731i	$0.344977\pi$
$488$	22.8356	+	28.1997i	1.03372	+	1.27654i
$489$	4.81403	+	0.792235i	0.217698	+	0.0358261i
$490$	−17.6636	−	85.6824i	−0.797962	−	3.87074i
$491$	−9.07096	−	20.3737i	−0.409367	−	0.919453i	−0.994124	−	0.108245i	$-0.965477\pi$
$491$	−9.07096	−	20.3737i	−0.409367	−	0.919453i	0.584757	−	0.811208i	$-0.301190\pi$
$492$	−35.4778	−	3.94517i	−1.59946	−	0.177862i
$493$	0.114703	−	0.176627i	0.00516597	−	0.00795490i
$494$	9.19760			0.413820
$495$	−4.64198	+	21.7590i	−0.208642	+	0.977992i
$496$	22.4417			1.00766
$497$	−10.8306	+	16.6776i	−0.485817	+	0.748093i
$498$	4.40847	+	10.0644i	0.197548	+	0.450996i
$499$	−10.0801	−	22.6403i	−0.451247	−	1.01352i	−0.985729	−	0.168337i	$-0.946160\pi$
$499$	−10.0801	−	22.6403i	−0.451247	−	1.01352i	0.534483	−	0.845179i	$-0.320507\pi$
$500$	−58.8490	+	14.6132i	−2.63181	+	0.653522i
$501$	11.0615	−	13.4927i	0.494191	−	0.602810i
$502$	4.70001	+	5.80403i	0.209772	+	0.259047i
$503$	−13.2933	−	2.10546i	−0.592720	−	0.0938777i	−0.147134	−	0.989117i	$-0.547005\pi$
$503$	−13.2933	−	2.10546i	−0.592720	−	0.0938777i	−0.445586	+	0.895239i	$0.647005\pi$
$504$	−87.6884	+	95.0583i	−3.90595	+	4.23423i
$505$	8.56251	−	21.9035i	0.381027	−	0.974693i
$506$	−10.6774	−	2.66232i	−0.474670	−	0.118354i
$507$	12.0702	−	13.2440i	0.536058	−	0.588185i
$508$	4.10219	−	78.2744i	0.182005	−	3.47287i
$509$	38.0370	−	3.99785i	1.68596	−	0.177202i	0.787519	−	0.616291i	$-0.211365\pi$
$509$	38.0370	−	3.99785i	1.68596	−	0.177202i	0.898444	+	0.439089i	$0.144699\pi$
$510$	1.28562	−	1.54872i	0.0569284	−	0.0685783i
$511$	−9.74353	+	10.8213i	−0.431028	+	0.478706i
$512$	−30.8798	−	15.7341i	−1.36471	−	0.695354i
$513$	−10.2979	+	3.14132i	−0.454662	+	0.138693i
$514$	−41.5494	+	30.1874i	−1.83267	+	1.33151i
$515$	35.2257	−	25.2643i	1.55223	−	1.11328i
$516$	−26.3703	+	50.9926i	−1.16089	+	2.24482i
$517$	4.18408	+	8.97305i	0.184015	+	0.394634i
$518$	30.6455	+	114.371i	1.34649	+	5.02515i
$519$	19.6090	+	5.38109i	0.860740	+	0.236203i
$520$	−24.1754	+	23.8806i	−1.06016	+	1.04723i
$521$	−24.9457	−	18.1241i	−1.09289	−	0.794032i	−0.113006	−	0.993594i	$-0.536048\pi$
$521$	−24.9457	−	18.1241i	−1.09289	−	0.794032i	−0.979885	+	0.199563i	$0.936048\pi$
$522$	3.33554	−	8.38584i	0.145992	−	0.367038i
$523$	3.97672	−	7.80476i	0.173890	−	0.341278i	−0.787569	−	0.616226i	$-0.788661\pi$
$523$	3.97672	−	7.80476i	0.173890	−	0.341278i	0.961459	+	0.274948i	$0.0886607\pi$
$524$	−4.16545	+	39.6316i	−0.181969	+	1.73132i
$525$	17.5153	+	35.9886i	0.764429	+	1.57067i
$526$	41.1066	+	45.6535i	1.79233	+	1.99059i
$527$	0.0760552	+	0.283842i	0.00331302	+	0.0123644i
$528$	22.5797	+	80.5777i	0.982653	+	3.50669i
$529$	18.6343	−	10.7585i	0.810187	−	0.467762i
$530$	34.0685	+	27.9360i	1.47984	+	1.21346i
$531$	−28.4379	+	24.9916i	−1.23410	+	1.08454i
$532$	−8.12441	−	51.2955i	−0.352238	−	2.22394i
$533$	0.324021	+	6.18268i	0.0140349	+	0.267802i
$534$	17.4107	−	6.56322i	0.753433	−	0.284018i
$535$	3.29697	−	3.61679i	0.142540	−	0.156367i
$536$	13.2230	−	1.38980i	0.571148	−	0.0600301i
$537$	19.6304	+	0.118303i	0.847112	+	0.00510515i
$538$	−0.240280	+	0.896739i	−0.0103592	+	0.0386612i
$539$	−6.62870	+	47.1617i	−0.285518	+	2.03140i
$540$	29.9593	−	55.4377i	1.28924	−	2.38566i
$541$	−10.1704	−	3.30455i	−0.437258	−	0.142074i	0.0821120	−	0.996623i	$-0.473833\pi$
$541$	−10.1704	−	3.30455i	−0.437258	−	0.142074i	−0.519370	+	0.854549i	$0.673833\pi$
$542$	7.43179	+	19.3605i	0.319223	+	0.831604i
$543$	−19.7336	−	6.54358i	−0.846851	−	0.280812i
$544$	0.834178	−	3.92450i	0.0357651	−	0.168262i
$545$	18.7760	+	12.3577i	0.804278	+	0.529347i
$546$	29.6842	+	19.5325i	1.27037	+	0.835914i
$547$	33.2346	−	12.7576i	1.42101	−	0.545474i	0.478035	−	0.878341i	$-0.341349\pi$
$547$	33.2346	−	12.7576i	1.42101	−	0.545474i	0.942974	+	0.332867i	$0.108016\pi$
$548$	−24.0783	−	47.2564i	−1.02858	−	2.01869i
$549$	−4.87501	+	10.6036i	−0.208060	+	0.452552i
$550$	44.9588	+	4.49041i	1.91705	+	0.191472i
$551$	1.14386	+	1.98122i	0.0487300	+	0.0844028i
$552$	16.9787	+	9.93956i	0.722661	+	0.423056i
$553$	32.7143	+	26.4915i	1.39116	+	1.12654i
$554$	26.0866	+	58.5914i	1.10831	+	2.48931i
$555$	−17.8241	−	31.7580i	−0.756591	−	1.34805i
$556$	−9.84138	−	8.86122i	−0.417368	−	0.375800i
$557$	26.3104	−	4.16715i	1.11481	−	0.176568i	0.428261	−	0.903655i	$-0.359126\pi$
$557$	26.3104	−	4.16715i	1.11481	−	0.176568i	0.686545	+	0.727087i	$0.259126\pi$
$558$	5.58116	+	11.2880i	0.236269	+	0.477857i
$559$	9.46942	+	3.07680i	0.400514	+	0.130135i
$560$	121.245	+	89.2311i	5.12353	+	3.77070i
$561$	−0.942623	+	0.558667i	−0.0397976	+	0.0235869i
$562$	−52.6720	+	14.1134i	−2.22183	+	0.595338i
$563$	−1.95676	+	37.3373i	−0.0824678	+	1.57358i	0.573765	+	0.819020i	$0.305482\pi$
$563$	−1.95676	+	37.3373i	−0.0824678	+	1.57358i	−0.656233	+	0.754559i	$0.727851\pi$
$564$	−4.21969	−	27.7223i	−0.177681	−	1.16732i
$565$	−9.04697	−	28.4362i	−0.380609	−	1.19632i
$566$	−13.5892	−	41.8231i	−0.571195	−	1.75796i
$567$	−39.9063	−	11.7308i	−1.67591	−	0.492648i
$568$	−6.27840	−	39.6402i	−0.263436	−	1.66327i
$569$	−6.94268	−	3.09108i	−0.291052	−	0.129585i	0.256017	−	0.966672i	$-0.417590\pi$
$569$	−6.94268	−	3.09108i	−0.291052	−	0.129585i	−0.547069	+	0.837088i	$0.684256\pi$
$570$	8.64943	+	20.0807i	0.362285	+	0.841087i
$571$	−17.8126	−	10.2841i	−0.745434	−	0.430377i	0.0786074	−	0.996906i	$-0.474953\pi$
$571$	−17.8126	−	10.2841i	−0.745434	−	0.430377i	−0.824042	+	0.566529i	$0.808286\pi$
$572$	26.5605	−	12.3850i	1.11055	−	0.517843i
$573$	0.776457	+	0.707645i	0.0324370	+	0.0295623i
$574$	46.8049	−	9.94869i	1.95360	−	0.415250i
$575$	4.77858	−	3.77348i	0.199281	−	0.157365i
$576$	1.01879	−	84.5222i	0.0424495	−	3.52176i
$577$	−14.8250	+	29.0957i	−0.617172	+	1.21127i	0.344943	+	0.938624i	$0.387898\pi$
$577$	−14.8250	+	29.0957i	−0.617172	+	1.21127i	−0.962115	+	0.272645i	$0.912102\pi$
$578$	−46.1558	+	2.41892i	−1.91983	+	0.100614i
$579$	−10.4097	−	0.608473i	−0.432610	−	0.0252873i
$580$	−12.9122	−	3.54485i	−0.536149	−	0.147192i
$581$	−7.20020	−	7.99663i	−0.298714	−	0.331756i
$582$	−10.1575	+	46.4102i	−0.421042	+	1.92376i
$583$	−12.3527	−	20.5588i	−0.511595	−	0.851460i
$584$		−	29.3886i		−	1.21611i
$585$	−10.3312	−	3.56582i	−0.427143	−	0.147428i
$586$	35.9283	−	26.1034i	1.48418	−	1.07832i
$587$	−4.71470	+	3.81789i	−0.194596	+	0.157581i	−0.721667	−	0.692241i	$-0.756624\pi$
$587$	−4.71470	+	3.81789i	−0.194596	+	0.157581i	0.527070	+	0.849822i	$0.323290\pi$
$588$	55.6062	−	122.895i	2.29316	−	5.06810i
$589$	−3.12228	−	0.663662i	−0.128651	−	0.0273457i
$590$	56.8192	+	51.7949i	2.33921	+	2.13236i
$591$	−6.67336	−	43.8424i	−0.274505	−	1.80343i
$592$	−114.877	−	74.6023i	−4.72144	−	3.06614i
$593$	−23.2972	−	23.2972i	−0.956701	−	0.956701i	0.0423993	−	0.999101i	$-0.486500\pi$
$593$	−23.2972	−	23.2972i	−0.956701	−	0.956701i	−0.999101	+	0.0423993i	$0.986500\pi$
$594$	−34.9144	+	31.3968i	−1.43255	+	1.28822i
$595$	−0.717694	+	1.83591i	−0.0294226	+	0.0752650i
$596$	11.0831	+	52.1420i	0.453983	+	2.13582i
$597$	−21.2770	−	15.6554i	−0.870808	−	0.640733i
$598$	1.93724	−	5.04667i	0.0792195	−	0.206374i
$599$	7.40037	−	34.8160i	0.302371	−	1.42254i	−0.520280	−	0.853996i	$-0.674172\pi$
$599$	7.40037	−	34.8160i	0.302371	−	1.42254i	0.822651	−	0.568547i	$-0.192494\pi$
$600$	−74.8718	−	30.3237i	−3.05663	−	1.23796i
$601$	36.1314	+	3.79756i	1.47383	+	0.154906i	0.807109	−	0.590402i	$-0.201031\pi$
$601$	36.1314	+	3.79756i	1.47383	+	0.154906i	0.666721	+	0.745308i	$0.267697\pi$
$602$	12.0383	−	76.0066i	0.490643	−	3.09780i
$603$	2.28564	+	3.61421i	0.0930786	+	0.147182i
$604$	28.3695			1.15434
$605$	−22.2278	−	10.5321i	−0.903688	−	0.428191i
$606$	41.7881	−	26.7809i	1.69753	−	1.08790i
$607$	38.0976	+	1.99661i	1.54633	+	0.0810399i	0.806290	−	0.591520i	$-0.201472\pi$
$607$	38.0976	+	1.99661i	1.54633	+	0.0810399i	0.740043	+	0.672560i	$0.234805\pi$
$608$	33.8702	+	27.4275i	1.37362	+	1.11233i
$609$	−0.515747	+	8.82332i	−0.0208991	+	0.357539i
$610$	22.4953	+	7.46205i	0.910807	+	0.302130i
$611$	−4.62548	+	1.50291i	−0.187127	+	0.0608012i
$612$	3.00720	−	0.767051i	0.121559	−	0.0310062i
$613$	39.9846	+	6.33295i	1.61496	+	0.255785i	0.897567	−	0.440878i	$-0.145333\pi$
$613$	39.9846	+	6.33295i	1.61496	+	0.255785i	0.717398	+	0.696664i	$0.245333\pi$
$614$	−15.4778	−	72.8171i	−0.624632	−	2.93866i
$615$	−13.1936	+	6.52162i	−0.532019	+	0.262977i
$616$	−79.9497	−	118.533i	−3.22126	−	4.77584i
$617$	23.2488	−	6.22950i	0.935962	−	0.250790i	0.241567	−	0.970384i	$-0.422339\pi$
$617$	23.2488	−	6.22950i	0.935962	−	0.250790i	0.694395	+	0.719594i	$0.255672\pi$
$618$	91.4851	+	0.551338i	3.68007	+	0.0221781i
$619$	−15.1550	+	34.0388i	−0.609133	+	1.36813i	0.300923	+	0.953648i	$0.402705\pi$
$619$	−15.1550	+	34.0388i	−0.609133	+	1.36813i	−0.910056	+	0.414486i	$0.863961\pi$
$620$	15.7309	−	10.0791i	0.631769	−	0.404787i
$621$	−0.445351	+	6.31202i	−0.0178713	+	0.253293i
$622$	−25.8835	−	13.1883i	−1.03783	−	0.528803i
$623$	−14.1613	+	11.4676i	−0.567360	+	0.459439i
$624$	−40.6392	+	6.18580i	−1.62687	+	0.247630i
$625$	−17.1791	+	18.1625i	−0.687165	+	0.726502i
$626$	42.8415	+	24.7346i	1.71229	+	0.988592i
$627$	−0.758578	−	11.8784i	−0.0302947	−	0.474379i
$628$	−45.2150	−	12.1153i	−1.80427	−	0.483454i
$629$	0.554248	−	1.70580i	0.0220993	−	0.0680147i
$630$	−14.7293	+	83.1765i	−0.586829	+	3.31383i
$631$	−20.3057	−	14.7529i	−0.808357	−	0.587306i	0.104997	−	0.994473i	$-0.466517\pi$
$631$	−20.3057	−	14.7529i	−0.808357	−	0.587306i	−0.913354	+	0.407167i	$0.866517\pi$
$632$	−84.8426	+	4.44641i	−3.37486	+	0.176869i
$633$	0.742124	+	7.49506i	0.0294968	+	0.297902i
$634$	−8.93875	+	3.97979i	−0.355003	+	0.158058i
$635$	−15.9862	−	28.0854i	−0.634393	−	1.11454i
$636$	17.1862	+	65.7216i	0.681478	+	2.60603i
$637$	−22.5980	−	6.05511i	−0.895365	−	0.239912i
$638$	8.17291	+	5.72287i	0.323569	+	0.226571i
$639$	10.5337	−	7.46087i	0.416706	−	0.295147i
$640$	−77.2150	+	7.63696i	−3.05219	+	0.301877i
$641$	−6.26887	−	2.79108i	−0.247606	−	0.110241i	0.279182	−	0.960238i	$-0.409937\pi$
$641$	−6.26887	−	2.79108i	−0.247606	−	0.110241i	−0.526787	+	0.849997i	$0.676604\pi$
$642$	10.1157	−	2.08652i	0.399234	−	0.0823483i
$643$	−16.7024	+	10.8467i	−0.658680	+	0.427752i	−0.830228	−	0.557424i	$-0.811790\pi$
$643$	−16.7024	+	10.8467i	−0.658680	+	0.427752i	0.171548	+	0.985176i	$0.445123\pi$
$644$	−29.8567	−	6.34625i	−1.17652	−	0.250077i
$645$	2.18762	+	23.5676i	0.0861374	+	0.927971i
$646$	−0.437979	+	0.983718i	−0.0172321	+	0.0387039i
$647$	−31.1795	+	15.8868i	−1.22579	+	0.624573i	−0.942418	−	0.334436i	$-0.891454\pi$
$647$	−31.1795	+	15.8868i	−1.22579	+	0.624573i	−0.283375	+	0.959009i	$0.591454\pi$
$648$	75.6955	−	36.2978i	2.97360	−	1.42591i
$649$	−19.6491	−	36.9556i	−0.771295	−	1.45064i
$650$	−4.88067	+	21.6519i	−0.191436	+	0.849258i
$651$	−8.66744	−	8.77254i	−0.339704	−	0.343823i
$652$	9.61391	−	11.8722i	0.376510	−	0.464951i
$653$	14.3642	−	37.4201i	0.562116	−	1.46436i	−0.298152	−	0.954518i	$-0.596370\pi$
$653$	14.3642	−	37.4201i	0.562116	−	1.46436i	0.860268	−	0.509843i	$-0.170296\pi$
$654$	16.7333	+	44.3896i	0.654326	+	1.73577i
$655$	7.36907	+	14.6847i	0.287934	+	0.573777i
$656$	−32.5371	+	44.7835i	−1.27036	+	1.74850i
$657$	8.47304	−	4.18937i	0.330565	−	0.163443i
$658$	17.0652	+	33.4924i	0.665272	+	1.30567i
$659$	3.29107	+	5.70030i	0.128202	+	0.222052i	0.922980	−	0.384848i	$-0.125746\pi$
$659$	3.29107	+	5.70030i	0.128202	+	0.222052i	−0.794778	+	0.606900i	$0.792413\pi$
$660$	52.0171	+	46.3415i	2.02476	+	1.80384i
$661$	14.9846	−	25.9541i	0.582834	−	1.00950i	−0.412308	−	0.911045i	$-0.635277\pi$
$661$	14.9846	−	25.9541i	0.582834	−	1.00950i	0.995142	−	0.0984533i	$-0.0313895\pi$
$662$	20.2781	+	1.06273i	0.788132	+	0.0413043i
$663$	−0.215965	−	0.493041i	−0.00838738	−	0.0191481i
$664$	21.5984	+	2.27008i	0.838181	+	0.0880963i
$665$	−14.2299	−	16.0002i	−0.551810	−	0.620460i
$666$	8.95466	−	76.3357i	0.346986	−	2.95795i
$667$	1.32801	−	0.210336i	0.0514207	−	0.00814423i
$668$	−19.5783	−	51.0032i	−0.757508	−	1.97337i
$669$	−2.58298	+	9.41254i	−0.0998637	+	0.363910i
$670$	6.78237	−	5.42370i	0.262026	−	0.209536i
$671$	−10.1671	−	7.94358i	−0.392496	−	0.306658i
$672$	51.0657	+	160.448i	1.96990	+	6.18941i
$673$	30.5864	+	19.8630i	1.17902	+	0.765663i	0.976900	−	0.213698i	$-0.0685507\pi$
$673$	30.5864	+	19.8630i	1.17902	+	0.765663i	0.202118	+	0.979361i	$0.435217\pi$
$674$	−54.5715	−	75.1112i	−2.10202	−	2.89318i
$675$	−1.93041	−	25.9089i	−0.0743015	−	0.997236i
$676$	−17.3386	−	53.3628i	−0.666870	−	2.05241i
$677$	−0.927815	−	17.7038i	−0.0356588	−	0.680411i	−0.956723	−	0.291000i	$-0.906012\pi$
$677$	−0.927815	−	17.7038i	−0.0356588	−	0.680411i	0.921064	−	0.389411i	$-0.127321\pi$
$678$	19.8218	−	59.7770i	0.761251	−	2.29572i
$679$	−4.86340	−	46.2722i	−0.186640	−	1.77576i
$680$	−1.40291	−	3.72281i	−0.0537991	−	0.142763i
$681$	−16.3877	+	0.759843i	−0.627979	+	0.0291172i
$682$	−13.5646	+	3.13147i	−0.519415	+	0.119910i
$683$	−2.52334	+	2.52334i	−0.0965529	+	0.0965529i	−0.753733	−	0.657180i	$-0.771749\pi$
$683$	−2.52334	+	2.52334i	−0.0965529	+	0.0965529i	0.657180	+	0.753733i	$0.271749\pi$
$684$	−7.40605	+	32.8884i	−0.283177	+	1.25752i
$685$	−18.8699	−	11.0494i	−0.720980	−	0.422177i
$686$	−9.68692	+	92.1649i	−0.369848	+	3.51887i
$687$	3.86801	+	39.0649i	0.147574	+	1.49042i
$688$	48.4857	+	74.6614i	1.84850	+	2.84644i
$689$	10.7634	−	4.79217i	0.410052	−	0.182567i
$690$	12.8399	−	0.516421i	0.488808	−	0.0196598i
$691$	17.7544	−	3.77381i	0.675408	−	0.143562i	0.142577	−	0.989784i	$-0.454461\pi$
$691$	17.7544	−	3.77381i	0.675408	−	0.143562i	0.532832	+	0.846221i	$0.321128\pi$
$692$	45.0219	−	45.0219i	1.71147	−	1.71147i
$693$	22.7774	−	39.9473i	0.865243	−	1.51747i
$694$			64.2224i			2.43785i
$695$	−5.38741	−	0.887197i	−0.204356	−	0.0336533i
$696$	−11.1421	−	13.9301i	−0.422340	−	0.528021i
$697$	−0.676690	−	0.259757i	−0.0256315	−	0.00983900i
$698$	−77.2861	+	50.1902i	−2.92532	+	1.89973i
$699$	−4.61278	+	28.0296i	−0.174471	+	1.06018i
$700$	125.065	+	8.09424i	4.72701	+	0.305934i
$701$	23.3743	+	32.1720i	0.882836	+	1.21512i	0.975627	+	0.219434i	$0.0704210\pi$
$701$	23.3743	+	32.1720i	0.882836	+	1.21512i	−0.0927914	+	0.995686i	$0.529579\pi$
$702$	−13.2182	−	18.9028i	−0.498890	−	0.713439i
$703$	13.7766	+	13.7766i	0.519594	+	0.519594i
$704$	90.6735	+	22.6085i	3.41739	+	0.852092i
$705$	−7.63104	−	8.68526i	−0.287402	−	0.327106i
$706$	−65.0324	+	58.5554i	−2.44753	+	2.20376i
$707$	−30.5898	+	37.7753i	−1.15045	+	1.42069i
$708$	23.9477	+	116.101i	0.900011	+	4.36335i
$709$	−18.9980	−	17.1059i	−0.713486	−	0.642425i	0.230248	−	0.973132i	$-0.426046\pi$
$709$	−18.9980	−	17.1059i	−0.713486	−	0.642425i	−0.943734	+	0.330707i	$0.892713\pi$
$710$	−17.4208	−	19.5881i	−0.653791	−	0.735129i
$711$	−13.3763	−	23.8271i	−0.501651	−	0.893587i
$712$	5.75316	−	36.3240i	0.215609	−	1.36130i
$713$	−1.02178	+	1.57340i	−0.0382658	+	0.0589241i
$714$	−3.50260	+	2.24472i	−0.131082	+	0.0840067i
$715$	6.46575	−	10.2072i	0.241806	−	0.381728i
$716$	30.7343	−	53.2333i	1.14859	−	1.98942i
$717$	1.07950	+	0.631953i	0.0403146	+	0.0236007i
$718$	−40.8911	+	15.6966i	−1.52604	+	0.585792i
$719$	−6.03790	+	8.31046i	−0.225176	+	0.309928i	−0.906625	−	0.421938i	$-0.861350\pi$
$719$	−6.03790	+	8.31046i	−0.225176	+	0.309928i	0.681449	+	0.731866i	$0.261350\pi$
$720$	−51.7223	−	82.9084i	−1.92758	−	3.08982i
$721$	−85.2111	+	27.6868i	−3.17343	+	1.03111i
$722$	25.2172	+	31.1406i	0.938485	+	1.15893i
$723$	−4.57395	+	41.1322i	−0.170107	+	1.52972i
$724$	−48.3782	+	43.5599i	−1.79796	+	1.61889i
$725$	−5.27094	+	1.64141i	−0.195758	+	0.0609603i
$726$	−24.8917	−	45.5535i	−0.923817	−	1.69065i
$727$	2.72329	−	10.1635i	0.101001	−	0.376942i	−0.896859	−	0.442316i	$-0.854157\pi$
$727$	2.72329	−	10.1635i	0.101001	−	0.376942i	0.997861	+	0.0653732i	$0.0208238\pi$
$728$	62.5795	−	31.8859i	2.31935	−	1.18177i
$729$	21.2555	+	16.6495i	0.787239	+	0.616648i
$730$	−10.3556	−	16.1625i	−0.383279	−	0.598200i
$731$	−0.779998	+	0.866276i	−0.0288493	+	0.0320404i
$732$	21.3011	+	29.6932i	0.787312	+	1.09749i
$733$	21.1862	+	8.13263i	0.782531	+	0.300385i	0.716642	−	0.697441i	$-0.245678\pi$
$733$	21.1862	+	8.13263i	0.782531	+	0.300385i	0.0658892	+	0.997827i	$0.479012\pi$
$734$	1.95033	+	18.5562i	0.0719880	+	0.684920i
$735$	−8.03134	−	55.0313i	−0.296240	−	2.02986i
$736$	22.1832	−	12.8075i	0.817684	−	0.472090i
$737$	−4.47007	+	1.53911i	−0.164657	+	0.0566939i
$738$	−30.6176	−	5.22837i	−1.12705	−	0.192459i
$739$	9.21268	−	28.3537i	0.338894	−	1.04301i	−0.625878	−	0.779921i	$-0.715259\pi$
$739$	9.21268	−	28.3537i	0.338894	−	1.04301i	0.964772	−	0.263088i	$-0.0847408\pi$
$740$	−114.032	−	0.699609i	−4.19188	−	0.0257181i
$741$	5.83702	+	0.341190i	0.214428	+	0.0125339i
$742$	−49.5955	−	76.3703i	−1.82071	−	2.80364i
$743$	−8.90275	−	13.7090i	−0.326610	−	0.502935i	0.636778	−	0.771047i	$-0.280267\pi$
$743$	−8.90275	−	13.7090i	−0.326610	−	0.502935i	−0.963388	+	0.268112i	$0.913600\pi$
$744$	24.8469	+	1.45237i	0.910931	+	0.0532465i
$745$	15.4453	+	15.6360i	0.565871	+	0.572857i
$746$	−4.49526	+	13.8350i	−0.164583	+	0.506534i
$747$	2.42438	+	6.55064i	0.0887034	+	0.239675i
$748$	0.0598403	+	3.43051i	0.00218798	+	0.125432i
$749$	−8.76002	+	5.05760i	−0.320084	+	0.184801i
$750$	−51.8614	+	9.70573i	−1.89371	+	0.354403i
$751$	−0.725001	−	6.89793i	−0.0264557	−	0.251709i	−0.999754	−	0.0221663i	$-0.992944\pi$
$751$	−0.725001	−	6.89793i	−0.0264557	−	0.251709i	0.973299	−	0.229543i	$-0.0737230\pi$
$752$	−40.5966	−	15.5836i	−1.48041	−	0.568275i
$753$	2.76744	+	3.85773i	0.100851	+	0.140583i
$754$	−3.27956	+	3.64232i	−0.119435	+	0.132645i
$755$	9.84849	−	6.31012i	0.358423	−	0.229649i
$756$	−93.7458	+	90.4159i	−3.40950	+	3.28839i
$757$	29.9784	−	15.2748i	1.08958	−	0.555171i	0.185552	−	0.982635i	$-0.440593\pi$
$757$	29.9784	−	15.2748i	1.08958	−	0.555171i	0.904033	+	0.427464i	$0.140593\pi$
$758$	13.2983	−	49.6300i	0.483017	−	1.80264i
$759$	−6.67740	−	2.08566i	−0.242374	−	0.0757045i
$760$	42.9504	+	4.78086i	1.55797	+	0.173420i
$761$	−9.13511	+	8.22529i	−0.331147	+	0.298166i	−0.817885	−	0.575382i	$-0.804853\pi$
$761$	−9.13511	+	8.22529i	−0.331147	+	0.298166i	0.486738	+	0.873548i	$0.338187\pi$
$762$	7.53777	−	67.7850i	0.273065	−	2.45559i
$763$	−29.2373	−	36.1051i	−1.05846	−	1.30709i
$764$	3.12851	−	1.01652i	0.113186	−	0.0367762i
$765$	0.873338	−	0.935162i	0.0315756	−	0.0338108i
$766$	−42.4038	+	58.3639i	−1.53211	+	2.10877i
$767$	19.1948	−	7.36820i	0.693084	−	0.266050i
$768$	−57.0872	−	33.4197i	−2.05996	−	1.20593i
$769$	−0.417536	+	0.723194i	−0.0150567	+	0.0260791i	−0.873456	−	0.486904i	$-0.838126\pi$
$769$	−0.417536	+	0.723194i	−0.0150567	+	0.0260791i	0.858399	+	0.512983i	$0.171460\pi$
$770$	−85.7362	−	37.0164i	−3.08972	−	1.33398i
$771$	−27.4881	+	17.6164i	−0.989959	+	0.634438i
$772$	−17.7829	+	27.3832i	−0.640020	+	0.985545i
$773$	1.79661	−	11.3433i	0.0646195	−	0.407991i	−0.934083	−	0.357057i	$-0.883780\pi$
$773$	1.79661	−	11.3433i	0.0646195	−	0.407991i	0.998702	−	0.0509342i	$-0.0162199\pi$
$774$	−25.4958	+	42.9559i	−0.916427	+	1.54402i
$775$	3.21914	−	6.99794i	0.115635	−	0.251373i
$776$	69.7835	+	62.8334i	2.50508	+	2.25559i
$777$	15.2057	+	73.7191i	0.545502	+	2.64466i
$778$	36.4250	−	44.9812i	1.30590	−	1.61265i
$779$	5.85122	−	5.26847i	0.209642	−	0.188762i
$780$	−25.7087	+	22.5881i	−0.920518	+	0.808785i
$781$	5.34571	+	13.2315i	0.191285	+	0.473462i
$782$	0.447511	+	0.447511i	0.0160030	+	0.0160030i
$783$	2.42789	−	5.19812i	0.0867657	−	0.185766i
$784$	−122.951	−	169.228i	−4.39111	−	6.04385i
$785$	−18.3912	+	5.85115i	−0.656409	+	0.208837i
$786$	−5.63063	+	34.2146i	−0.200838	+	1.22040i
$787$	17.0808	−	11.0924i	0.608863	−	0.395400i	−0.203059	−	0.979167i	$-0.565088\pi$
$787$	17.0808	−	11.0924i	0.608863	−	0.395400i	0.811922	+	0.583766i	$0.198422\pi$
$788$	−129.639	−	49.7638i	−4.61820	−	1.77276i
$789$	24.3937	+	30.4977i	0.868438	+	1.08575i
$790$	−45.0930	+	32.3412i	−1.60434	+	1.15065i
$791$			61.6764i			2.19296i
$792$	19.7849	+	90.6751i	0.703025	+	3.22200i
$793$	4.48169	−	4.48169i	0.159149	−	0.159149i
$794$	−36.3031	+	7.71646i	−1.28835	+	0.273847i
$795$	20.5844	+	18.9926i	0.730054	+	0.673599i
$796$	−75.5636	+	33.6431i	−2.67828	+	1.19245i
$797$	−13.6285	−	20.9861i	−0.482748	−	0.743367i	0.510437	−	0.859915i	$-0.329484\pi$
$797$	−13.6285	−	20.9861i	−0.482748	−	0.743367i	−0.993185	+	0.116548i	$0.962817\pi$
$798$	−4.45275	−	44.9705i	−0.157626	−	1.59194i
$799$	0.0595184	−	0.566279i	0.00210561	−	0.0200335i
$800$	−82.5398	+	65.1789i	−2.91822	+	2.30442i
$801$	11.2927	−	3.51932i	0.399008	−	0.124349i
$802$	−7.26596	+	7.26596i	−0.256570	+	0.256570i
$803$	2.35056	+	10.1819i	0.0829496	+	0.359313i
$804$	13.3757	−	0.620188i	0.471726	−	0.0218723i
$805$	−11.7764	+	4.43782i	−0.415062	+	0.156412i
$806$	−0.714834	−	6.80119i	−0.0251790	−	0.239562i
$807$	−0.185753	+	0.560179i	−0.00653881	+	0.0197192i
$808$	−5.13427	−	97.9678i	−0.180623	−	3.44649i
$809$	13.5982	+	41.8510i	0.478088	+	1.47140i	0.841748	+	0.539871i	$0.181527\pi$
$809$	13.5982	+	41.8510i	0.478088	+	1.47140i	−0.363660	+	0.931532i	$0.618473\pi$
$810$	28.8391	−	46.6349i	1.01330	−	1.63858i
$811$	28.3599	+	39.0341i	0.995852	+	1.37067i	0.927836	+	0.372988i	$0.121667\pi$
$811$	28.3599	+	39.0341i	0.995852	+	1.37067i	0.0680153	+	0.997684i	$0.478333\pi$
$812$	23.2103	+	15.0729i	0.814522	+	0.528957i
$813$	3.99820	+	12.5623i	0.140223	+	0.440579i
$814$	79.8463	+	29.0627i	2.79861	+	1.01865i
$815$	0.696788	−	6.25982i	0.0244074	−	0.219272i
$816$	1.27360	−	4.64107i	0.0445848	−	0.162470i
$817$	−4.53782	−	11.8214i	−0.158758	−	0.413579i
$818$	−4.02634	+	0.637709i	−0.140778	+	0.0222970i
$819$	18.1138	+	13.4969i	0.632946	+	0.471622i
$820$	−2.69414	+	46.0051i	−0.0940836	+	1.60657i
$821$	−22.0765	−	2.32033i	−0.770475	−	0.0809802i	−0.288870	−	0.957368i	$-0.593279\pi$
$821$	−22.0765	−	2.32033i	−0.770475	−	0.0809802i	−0.481605	+	0.876388i	$0.659946\pi$
$822$	−18.5163	−	42.2720i	−0.645829	−	1.47440i
$823$	11.3256	+	0.593548i	0.394785	+	0.0206898i	0.248696	−	0.968582i	$-0.419998\pi$
$823$	11.3256	+	0.593548i	0.394785	+	0.0206898i	0.146089	+	0.989271i	$0.453331\pi$
$824$	90.4136	−	156.601i	3.14971	−	5.45546i
$825$	28.3653	+	4.51749i	0.987554	+	0.157279i
$826$	−79.4541	−	137.619i	−2.76456	−	4.78836i
$827$	0.696059	+	1.36609i	0.0242044	+	0.0475037i	0.902792	−	0.430077i	$-0.141514\pi$
$827$	0.696059	+	1.36609i	0.0242044	+	0.0475037i	−0.878588	+	0.477581i	$0.841514\pi$
$828$	16.4858	+	10.9907i	0.572921	+	0.381955i
$829$	−10.0778	+	13.8709i	−0.350015	+	0.481755i	−0.947333	−	0.320250i	$-0.896233\pi$
$829$	−10.0778	+	13.8709i	−0.350015	+	0.481755i	0.597318	+	0.802005i	$0.296233\pi$
$830$	12.6781	−	6.36214i	0.440063	−	0.220833i
$831$	14.3817	+	38.1512i	0.498895	+	1.32345i
$832$	−16.4511	+	42.8566i	−0.570340	+	1.48579i
$833$	1.72371	−	2.12860i	0.0597229	−	0.0737517i
$834$	−8.09882	−	8.19702i	−0.280439	−	0.283840i
$835$	−18.1411	−	13.3511i	−0.627798	−	0.462033i
$836$	−33.4979	−	16.3385i	−1.15855	−	0.565078i
$837$	3.12321	+	7.37064i	0.107954	+	0.254767i
$838$	−66.5958	+	33.9323i	−2.30051	+	1.17217i
$839$	−6.65308	+	14.9431i	−0.229690	+	0.515891i	−0.991218	−	0.132241i	$-0.957783\pi$
$839$	−6.65308	+	14.9431i	−0.229690	+	0.515891i	0.761528	+	0.648132i	$0.224450\pi$
$840$	128.465	+	106.641i	4.43245	+	3.67948i
$841$	27.1738	+	5.77598i	0.937029	+	0.199172i
$842$	45.5039	−	29.5506i	1.56817	−	1.01838i
$843$	−33.9504	+	7.00282i	−1.16932	+	0.241190i
$844$	21.5447	+	9.59232i	0.741600	+	0.330181i
$845$	−17.8884	−	14.6684i	−0.615379	−	0.504607i
$846$	−2.25784	−	24.2953i	−0.0776261	−	0.835291i
$847$	37.1798	+	34.6723i	1.27751	+	1.19135i
$848$	101.754	+	27.2648i	3.49424	+	0.936278i
$849$	−7.07255	−	27.0460i	−0.242729	−	0.928218i
$850$	−2.08334	−	1.55304i	−0.0714579	−	0.0532690i
$851$	10.4608	−	4.65746i	0.358592	−	0.159656i
$852$	−3.98260	−	40.2222i	−0.136442	−	1.37799i
$853$	10.6299	−	0.557089i	0.363961	−	0.0190744i	0.130521	−	0.991446i	$-0.458335\pi$
$853$	10.6299	−	0.557089i	0.363961	−	0.0190744i	0.233440	+	0.972371i	$0.425002\pi$
$854$	−39.6304	−	28.7932i	−1.35612	−	0.985282i
$855$	4.74424	+	13.0645i	0.162249	+	0.446798i
$856$	6.30857	−	19.4158i	0.215622	−	0.663617i
$857$	−2.76883	−	0.741907i	−0.0945816	−	0.0253431i	0.211218	−	0.977439i	$-0.432257\pi$
$857$	−2.76883	−	0.741907i	−0.0945816	−	0.0253431i	−0.305799	+	0.952096i	$0.598924\pi$
$858$	23.7007	−	9.40966i	0.809130	−	0.321240i
$859$	28.8268	+	16.6431i	0.983557	+	0.567857i	0.903342	−	0.428921i	$-0.141106\pi$
$859$	28.8268	+	16.6431i	0.983557	+	0.567857i	0.0802147	+	0.996778i	$0.474439\pi$
$860$	67.5193	+	30.5593i	2.30239	+	1.04206i
$861$	30.0726	−	4.57742i	1.02487	−	0.155998i
$862$	−74.1762	+	60.0667i	−2.52645	+	2.04588i
$863$	47.2402	+	24.0701i	1.60808	+	0.819355i	0.999669	+	0.0257301i	$0.00819105\pi$
$863$	47.2402	+	24.0701i	1.60808	+	0.819355i	0.608407	+	0.793625i	$0.291809\pi$
$864$	7.69248	−	109.027i	0.261704	−	3.70916i
$865$	5.61533	−	25.6434i	0.190927	−	0.871902i
$866$	28.6206	−	64.2828i	0.972566	−	2.18442i
$867$	−29.3813	−	0.177068i	−0.997842	−	0.00601353i
$868$	−37.2992	+	9.99428i	−1.26602	+	0.339228i
$869$	29.0388	−	8.32638i	0.985074	−	0.282453i
$870$	−11.0362	−	3.73486i	−0.374162	−	0.126624i
$871$	−0.482848	−	2.27162i	−0.0163607	−	0.0769710i
$872$	92.6104	+	14.6680i	3.13618	+	0.496723i
$873$	−8.16780	+	29.0762i	−0.276438	+	0.984081i
$874$	−6.53823	+	2.12440i	−0.221159	+	0.0718589i
$875$	45.2167	−	25.0078i	1.52861	−	0.845418i
$876$	1.72708	−	29.5465i	0.0583525	−	0.998285i
$877$	−15.2170	−	12.3225i	−0.513842	−	0.416101i	0.337014	−	0.941500i	$-0.390583\pi$
$877$	−15.2170	−	12.3225i	−0.513842	−	0.416101i	−0.850856	+	0.525398i	$0.823916\pi$
$878$	−35.1720	−	1.84329i	−1.18700	−	0.0622079i
$879$	23.7693	−	15.2331i	0.801717	−	0.513799i
$880$	102.361	−	34.5434i	3.45059	−	1.16446i
$881$	−7.47102			−0.251705			−0.125853	−	0.992049i	$-0.540167\pi$
$881$	−7.47102			−0.251705			−0.125853	+	0.992049i	$0.540167\pi$
$882$	54.5425	−	103.930i	1.83654	−	3.49949i
$883$	3.55791	−	22.4638i	0.119733	−	0.755965i	−0.852634	−	0.522509i	$-0.824996\pi$
$883$	3.55791	−	22.4638i	0.119733	−	0.755965i	0.972367	−	0.233457i	$-0.0750037\pi$
$884$	−1.67621	−	0.176176i	−0.0563769	−	0.00592545i
$885$	34.1374	+	34.9780i	1.14752	+	1.17577i
$886$	11.9347	−	56.1485i	0.400955	−	1.88635i
$887$	−18.4217	+	47.9901i	−0.618540	+	1.61135i	0.162386	+	0.986727i	$0.448081\pi$
$887$	−18.4217	+	47.9901i	−0.618540	+	1.61135i	−0.780926	+	0.624624i	$0.785252\pi$
$888$	−122.362	−	90.0326i	−4.10619	−	3.02130i
$889$	13.8872	+	65.3339i	0.465760	+	2.19123i
$890$	−9.63544	−	22.0039i	−0.322981	−	0.737572i
$891$	−23.3222	+	18.6300i	−0.781323	+	0.624128i
$892$	21.6110	+	21.6110i	0.723589	+	0.723589i
$893$	5.18732	+	3.36868i	0.173587	+	0.112729i
$894$	6.97987	+	45.8560i	0.233442	+	1.53366i
$895$	−1.17106	−	25.3161i	−0.0391443	−	0.846223i
$896$	156.867	+	33.3430i	5.24055	+	1.11391i
$897$	1.41663	−	3.13088i	0.0472997	−	0.104537i
$898$	−77.7012	+	62.9212i	−2.59292	+	2.09971i
$899$	1.37612	−	0.999808i	0.0458961	−	0.0333455i
$900$	−73.4921	−	34.8866i	−2.44974	−	1.16289i
$901$			1.37938i			0.0459539i
$902$	13.4177	−	31.6090i	0.446759	−	1.05247i
$903$	10.4593	−	47.7890i	0.348063	−	1.59032i
$904$	−83.2921	−	92.5052i	−2.77025	−	3.07668i
$905$	−7.10565	+	25.8824i	−0.236200	+	0.860361i
$906$	24.6432	+	1.44047i	0.818717	+	0.0478563i
$907$	−45.2045	+	2.36907i	−1.50099	+	0.0786636i	−0.785021	−	0.619469i	$-0.787348\pi$
$907$	−45.2045	+	2.36907i	−1.50099	+	0.0786636i	−0.715969	+	0.698132i	$0.754015\pi$
$908$	−23.3211	+	45.7702i	−0.773936	+	1.51894i
$909$	27.5132	−	15.4456i	0.912555	−	0.512299i
$910$	23.1805	−	39.5869i	0.768425	−	1.31229i
$911$	39.8416	−	8.46860i	1.32001	−	0.280577i	0.506558	−	0.862206i	$-0.330918\pi$
$911$	39.8416	−	8.46860i	1.32001	−	0.280577i	0.813454	+	0.581629i	$0.197584\pi$
$912$	38.6387	+	35.2143i	1.27945	+	1.16606i
$913$	−7.66452	+	0.940995i	−0.253659	+	0.0311424i
$914$	−3.51774	−	2.03097i	−0.116357	−	0.0671785i
$915$	13.9992	+	5.57007i	0.462800	+	0.184141i
$916$	112.293	+	49.9960i	3.71026	+	1.65192i
$917$	−5.31225	−	33.5403i	−0.175426	−	1.10760i
$918$	2.65116	−	0.513610i	0.0875012	−	0.0169517i
$919$	−2.51587	−	7.74304i	−0.0829908	−	0.255419i	0.900948	−	0.433928i	$-0.142873\pi$
$919$	−2.51587	−	7.74304i	−0.0829908	−	0.255419i	−0.983938	+	0.178509i	$0.942873\pi$
$920$	11.6696	−	22.5597i	0.384736	−	0.743770i
$921$	−7.12137	−	46.7857i	−0.234657	−	1.54164i
$922$	−1.10704	+	21.1235i	−0.0364583	+	0.695665i
$923$	−6.77135	+	1.81438i	−0.222882	+	0.0597210i
$924$	−73.4134	−	123.868i	−2.41512	−	4.07497i
$925$	−39.7417	+	25.1207i	−1.30670	+	0.825964i
$926$	30.0242	+	9.75545i	0.986656	+	0.320584i
$927$	58.0382	+	3.74358i	1.90622	+	0.122955i
$928$	−22.9385	+	3.63310i	−0.752993	+	0.119262i
$929$	19.2528	+	17.3353i	0.631664	+	0.568753i	0.921527	−	0.388315i	$-0.126943\pi$
$929$	19.2528	+	17.3353i	0.631664	+	0.568753i	−0.289862	+	0.957068i	$0.593610\pi$
$930$	14.1765	−	7.95651i	0.464865	−	0.260904i
$931$	12.1015	+	27.1805i	0.396612	+	0.890804i
$932$	69.1257	+	55.9769i	2.26429	+	1.83358i
$933$	−15.9371	−	9.32978i	−0.521756	−	0.305443i
$934$	45.1313	+	78.1697i	1.47674	+	2.55779i
$935$	0.783808	+	1.17759i	0.0256333	+	0.0385114i
$936$	−45.3951	+	4.21870i	−1.48379	+	0.137893i
$937$	−21.1489	−	41.5071i	−0.690904	−	1.35598i	−0.923574	−	0.383421i	$-0.874746\pi$
$937$	−21.1489	−	41.5071i	−0.690904	−	1.35598i	0.232669	−	0.972556i	$-0.425254\pi$
$938$	−16.7571	+	6.43243i	−0.547137	+	0.210026i
$939$	26.2707	+	17.2864i	0.857313	+	0.564120i
$940$	−35.4560	+	7.30935i	−1.15645	+	0.238405i
$941$	−2.15417	+	10.1346i	−0.0702239	+	0.330378i	−0.999210	−	0.0397366i	$-0.987348\pi$
$941$	−2.15417	+	10.1346i	−0.0702239	+	0.330378i	0.928986	+	0.370114i	$0.120681\pi$
$942$	−38.6610	−	12.8198i	−1.25964	−	0.417692i
$943$	−1.65837	−	4.32020i	−0.0540039	−	0.140685i
$944$	174.834	+	56.8070i	5.69036	+	1.84891i
$945$	−12.4330	+	52.2394i	−0.404447	+	1.69935i
$946$	−39.7247	−	38.3626i	−1.29156	−	1.24728i
$947$	−8.29693	+	30.9646i	−0.269614	+	1.00621i	0.689751	+	0.724046i	$0.257720\pi$
$947$	−8.29693	+	30.9646i	−0.269614	+	1.00621i	−0.959365	+	0.282167i	$0.908947\pi$
$948$	−85.5597	−	0.515629i	−2.77885	−	0.0167468i
$949$	−5.10515	+	0.536573i	−0.165720	+	0.0174179i
$950$	25.3055	−	12.5051i	0.821018	−	0.405718i
$951$	−5.82038	+	2.19408i	−0.188739	+	0.0711480i
$952$	0.430345	+	8.21148i	0.0139476	+	0.266136i
$953$	1.80698	+	11.4088i	0.0585338	+	0.369568i	0.999516	+	0.0311117i	$0.00990478\pi$
$953$	1.80698	+	11.4088i	0.0585338	+	0.369568i	−0.940982	+	0.338456i	$0.890095\pi$
$954$	11.5918	+	57.9619i	0.375299	+	1.87658i
$955$	0.859966	−	1.04875i	0.0278278	−	0.0339367i
$956$	3.39203	−	1.95839i	0.109706	−	0.0633389i
$957$	4.97443	+	3.93505i	0.160801	+	0.127202i
$958$	2.39785	+	8.94889i	0.0774709	+	0.289126i
$959$	30.2419	+	33.5871i	0.976563	+	1.08458i
$960$	−109.037	+	4.38548i	−3.51917	+	0.141541i
$961$	2.99230	−	28.4698i	0.0965258	−	0.918381i
$962$	−18.9499	+	37.1912i	−0.610968	+	1.19909i
$963$	6.49705	−	0.948908i	0.209364	−	0.0305781i
$964$	104.839	+	76.1703i	3.37665	+	2.45328i
$965$	−0.0825893	+	13.4615i	−0.00265864	+	0.433341i
$966$	−25.6129	−	7.02866i	−0.824082	−	0.226144i
$967$	−2.65226	−	9.89839i	−0.0852911	−	0.318311i	0.910078	−	0.414437i	$-0.136021\pi$
$967$	−2.65226	−	9.89839i	−0.0852911	−	0.318311i	−0.995369	+	0.0961262i	$0.969355\pi$
$968$	−102.588	−	1.79304i	−3.29730	−	0.0576305i
$969$	−0.314444	+	0.608044i	−0.0101014	+	0.0195332i
$970$	60.5184	+	9.96615i	1.94313	+	0.319994i
$971$	−36.0414	+	26.1856i	−1.15662	+	0.840337i	−0.989347	−	0.145573i	$-0.953497\pi$
$971$	−36.0414	+	26.1856i	−1.15662	+	0.840337i	−0.167277	+	0.985910i	$0.553497\pi$
$972$	78.2353	−	32.0444i	2.50940	−	1.02783i
$973$	10.0550	+	5.12328i	0.322349	+	0.164245i
$974$	48.3177	−	53.6623i	1.54820	−	1.71945i
$975$	−3.90058	+	13.5598i	−0.124919	+	0.434260i
$976$	56.3584	−	5.92350i	1.80399	−	0.189607i
$977$	−0.344395	+	6.57144i	−0.0110182	+	0.210239i	0.987572	+	0.157165i	$0.0502353\pi$
$977$	−0.344395	+	6.57144i	−0.0110182	+	0.210239i	−0.998591	+	0.0530743i	$0.983098\pi$
$978$	8.95396	−	9.82466i	0.286316	−	0.314158i
$979$	0.912039	+	13.0449i	0.0291489	+	0.416918i
$980$	−162.190	−	63.4031i	−5.18095	−	2.02534i
$981$	8.97273	+	28.7914i	0.286477	+	0.919240i
$982$	−60.0155	−	9.50553i	−1.91517	−	0.303333i
$983$	11.0845	+	13.6883i	0.353542	+	0.436588i	0.922629	−	0.385690i	$-0.126036\pi$
$983$	11.0845	+	13.6883i	0.353542	+	0.436588i	−0.569087	+	0.822278i	$0.692703\pi$
$984$	−38.9226	+	47.4775i	−1.24081	+	1.51353i
$985$	−56.0731	+	11.5596i	−1.78664	+	0.368320i
$986$	−0.233391	−	0.524204i	−0.00743267	−	0.0166941i
$987$	9.58758	+	21.8881i	0.305176	+	0.696706i
$988$	9.97142	−	15.3546i	0.317233	−	0.488496i
$989$	−7.44212			−0.236646
$990$	42.8318	+	42.8958i	1.36129	+	1.36332i
$991$	17.7996			0.565422			0.282711	−	0.959205i	$-0.408766\pi$
$991$	17.7996			0.565422			0.282711	+	0.959205i	$0.408766\pi$
$992$	17.6490	−	27.1771i	0.560356	−	0.862873i
$993$	12.8296	+	1.42666i	0.407134	+	0.0452738i
$994$	22.0373	+	49.4967i	0.698982	+	1.56994i
$995$	−18.7488	+	28.4865i	−0.594378	+	0.903083i
$996$	21.5810	+	3.55155i	0.683822	+	0.112535i
$997$	−24.7621	−	30.5787i	−0.784224	−	0.968436i	0.215744	−	0.976450i	$-0.430782\pi$
$997$	−24.7621	−	30.5787i	−0.784224	−	0.968436i	−0.999968	+	0.00801391i	$0.997449\pi$
$998$	−66.6921	−	10.5630i	−2.11110	−	0.334366i
$999$	8.51456	−	48.1123i	0.269389	−	1.52221i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bs.a.112.67	yes	1088
5.3	odd	4	inner	495.2.bs.a.13.2	✓	1088
9.7	even	3	inner	495.2.bs.a.277.2	yes	1088
11.6	odd	10	inner	495.2.bs.a.292.2	yes	1088
45.43	odd	12	inner	495.2.bs.a.178.2	yes	1088
55.28	even	20	inner	495.2.bs.a.193.2	yes	1088
99.61	odd	30	inner	495.2.bs.a.457.2	yes	1088
495.358	even	60	inner	495.2.bs.a.358.67	yes	1088

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bs.a.13.2	✓	1088	5.3	odd	4	inner
495.2.bs.a.112.67	yes	1088	1.1	even	1	trivial
495.2.bs.a.178.2	yes	1088	45.43	odd	12	inner
495.2.bs.a.193.2	yes	1088	55.28	even	20	inner
495.2.bs.a.277.2	yes	1088	9.7	even	3	inner
495.2.bs.a.292.2	yes	1088	11.6	odd	10	inner
495.2.bs.a.358.67	yes	1088	495.358	even	60	inner
495.2.bs.a.457.2	yes	1088	99.61	odd	30	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:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(1.48393 - 2.28505i) q^{2} +(1.02650 - 1.39510i) q^{3} +(-2.20592 - 4.95459i) q^{4} +(-1.86782 - 1.22933i) q^{5} +(-1.66461 - 4.41582i) q^{6} +(2.90849 + 3.59169i) q^{7} +(-9.21276 - 1.45916i) q^{8} +(-0.892595 - 2.86414i) q^{9} +O(q^{10})\)	\(q+(1.48393 - 2.28505i) q^{2} +(1.02650 - 1.39510i) q^{3} +(-2.20592 - 4.95459i) q^{4} +(-1.86782 - 1.22933i) q^{5} +(-1.66461 - 4.41582i) q^{6} +(2.90849 + 3.59169i) q^{7} +(-9.21276 - 1.45916i) q^{8} +(-0.892595 - 2.86414i) q^{9} +(-5.58078 + 2.44381i) q^{10} +(3.30855 - 0.231318i) q^{11} +(-9.17651 - 2.00840i) q^{12} +(-0.0852679 + 1.62701i) q^{13} +(12.5232 - 1.31624i) q^{14} +(-3.63235 + 1.34388i) q^{15} +(-9.74729 + 10.8255i) q^{16} +(-0.169954 - 0.0865959i) q^{17} +(-7.86923 - 2.21054i) q^{18} +(1.67627 - 1.21788i) q^{19} +(-1.97057 + 11.9661i) q^{20} +(7.99632 - 0.370762i) q^{21} +(4.38107 - 7.90344i) q^{22} +(-0.315182 - 1.17627i) q^{23} +(-11.4926 + 11.3549i) q^{24} +(1.97748 + 4.59234i) q^{25} +(3.59126 + 2.60920i) q^{26} +(-4.91200 - 1.69478i) q^{27} +(11.3794 - 22.3334i) q^{28} +(-0.115412 + 1.09807i) q^{29} +(-2.31932 + 10.2943i) q^{30} +(-1.03084 - 1.14487i) q^{31} +(5.44409 + 20.3176i) q^{32} +(3.07351 - 4.85320i) q^{33} +(-0.450075 + 0.259851i) q^{34} +(-1.01715 - 10.2841i) q^{35} +(-12.2216 + 10.7405i) q^{36} +(1.47097 + 9.28733i) q^{37} +(-0.295454 - 5.63760i) q^{38} +(2.18231 + 1.78908i) q^{39} +(15.4140 + 14.0510i) q^{40} +(3.77921 - 0.397211i) q^{41} +(11.0187 - 18.8221i) q^{42} +(1.58171 - 5.90304i) q^{43} +(-8.44449 - 15.8822i) q^{44} +(-1.85377 + 6.44698i) q^{45} +(-3.15555 - 1.02530i) q^{46} +(1.06978 + 2.78687i) q^{47} +(5.09698 + 24.7107i) q^{48} +(-2.98552 + 14.0458i) q^{49} +(13.4281 + 2.29605i) q^{50} +(-0.295268 + 0.148212i) q^{51} +(8.24924 - 3.16659i) q^{52} +(-3.28307 - 6.44339i) q^{53} +(-11.1617 + 8.70922i) q^{54} +(-6.46413 - 3.63525i) q^{55} +(-21.5544 - 37.3333i) q^{56} +(0.0216275 - 3.58871i) q^{57} +(2.33788 + 1.89318i) q^{58} +(-5.13287 - 11.5286i) q^{59} +(14.6711 + 15.0323i) q^{60} +(-2.89098 - 2.60305i) q^{61} +(-4.14577 + 0.656626i) q^{62} +(7.69098 - 11.5362i) q^{63} +(26.7971 + 8.70690i) q^{64} +(2.15940 - 2.93413i) q^{65} +(-6.52891 - 14.2249i) q^{66} +(-1.37686 + 0.368929i) q^{67} +(-0.0541412 + 1.03308i) q^{68} +(-1.96455 - 0.767736i) q^{69} +(-25.0091 - 12.9366i) q^{70} +(1.32962 + 4.09216i) q^{71} +(4.04404 + 27.6890i) q^{72} +(0.492881 + 3.11193i) q^{73} +(23.4048 + 10.4205i) q^{74} +(8.43665 + 1.95525i) q^{75} +(-9.73182 - 5.61867i) q^{76} +(10.4537 + 11.2105i) q^{77} +(7.32651 - 2.33181i) q^{78} +(8.90931 - 1.89373i) q^{79} +(31.5142 - 8.23732i) q^{80} +(-7.40655 + 5.11303i) q^{81} +(4.70043 - 9.22511i) q^{82} +(-2.32510 + 0.121853i) q^{83} +(-19.4763 - 38.8006i) q^{84} +(0.210988 + 0.370676i) q^{85} +(-11.1416 - 12.3740i) q^{86} +(1.41345 + 1.28818i) q^{87} +(-30.8184 - 2.69662i) q^{88} +3.94279i q^{89} +(11.9808 + 13.8028i) q^{90} +(-6.09171 + 4.42588i) q^{91} +(-5.13268 + 4.15637i) q^{92} +(-2.65536 + 0.262921i) q^{93} +(7.95561 + 1.69102i) q^{94} +(-4.62814 + 0.214087i) q^{95} +(33.9334 + 13.2610i) q^{96} +(-8.44308 - 5.48300i) q^{97} +(27.6649 + 27.6649i) q^{98} +(-3.61572 - 9.26966i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1088 q - 10 q^{2} - 14 q^{3} - 6 q^{5} - 40 q^{6} - 10 q^{7} - 40 q^{8}+O(q^{10}) \) 1088 * q - 10 * q^2 - 14 * q^3 - 6 * q^5 - 40 * q^6 - 10 * q^7 - 40 * q^8	\( 1088 q - 10 q^{2} - 14 q^{3} - 6 q^{5} - 40 q^{6} - 10 q^{7} - 40 q^{8} - 20 q^{11} - 44 q^{12} - 10 q^{13} - 20 q^{15} - 124 q^{16} - 40 q^{17} - 20 q^{18} + 34 q^{20} - 32 q^{23} - 12 q^{25} - 112 q^{26} + 4 q^{27} - 40 q^{28} - 20 q^{30} - 12 q^{31} - 74 q^{33} - 40 q^{35} - 72 q^{36} - 12 q^{37} + 38 q^{38} - 50 q^{40} - 20 q^{41} + 76 q^{42} - 44 q^{45} - 80 q^{46} + 2 q^{47} - 144 q^{48} - 10 q^{50} - 120 q^{51} - 10 q^{52} + 96 q^{53} - 52 q^{55} - 24 q^{56} - 100 q^{57} + 14 q^{58} + 8 q^{60} - 20 q^{61} - 340 q^{62} - 20 q^{63} + 44 q^{66} - 40 q^{67} - 50 q^{68} + 34 q^{70} - 152 q^{71} - 170 q^{72} - 40 q^{73} - 52 q^{75} + 100 q^{77} + 24 q^{78} + 208 q^{80} - 84 q^{81} - 8 q^{82} - 10 q^{83} - 10 q^{85} + 60 q^{86} - 100 q^{88} - 280 q^{90} - 120 q^{91} - 154 q^{92} + 2 q^{93} - 10 q^{95} + 420 q^{96} - 12 q^{97}+O(q^{100}) \) 1088 * q - 10 * q^2 - 14 * q^3 - 6 * q^5 - 40 * q^6 - 10 * q^7 - 40 * q^8 - 20 * q^11 - 44 * q^12 - 10 * q^13 - 20 * q^15 - 124 * q^16 - 40 * q^17 - 20 * q^18 + 34 * q^20 - 32 * q^23 - 12 * q^25 - 112 * q^26 + 4 * q^27 - 40 * q^28 - 20 * q^30 - 12 * q^31 - 74 * q^33 - 40 * q^35 - 72 * q^36 - 12 * q^37 + 38 * q^38 - 50 * q^40 - 20 * q^41 + 76 * q^42 - 44 * q^45 - 80 * q^46 + 2 * q^47 - 144 * q^48 - 10 * q^50 - 120 * q^51 - 10 * q^52 + 96 * q^53 - 52 * q^55 - 24 * q^56 - 100 * q^57 + 14 * q^58 + 8 * q^60 - 20 * q^61 - 340 * q^62 - 20 * q^63 + 44 * q^66 - 40 * q^67 - 50 * q^68 + 34 * q^70 - 152 * q^71 - 170 * q^72 - 40 * q^73 - 52 * q^75 + 100 * q^77 + 24 * q^78 + 208 * q^80 - 84 * q^81 - 8 * q^82 - 10 * q^83 - 10 * q^85 + 60 * q^86 - 100 * q^88 - 280 * q^90 - 120 * q^91 - 154 * q^92 + 2 * q^93 - 10 * q^95 + 420 * q^96 - 12 * q^97

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