LMFDB - Embedded newform 483.2.q.e.64.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$6$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			64.1
Character	$\chi$	$=$	483.64
Dual form			483.2.q.e.400.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.87100 - 0.549377i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.51634 + 0.974491i) q^{4} +(-0.563341 + 3.91812i) q^{5} +(-1.64044 + 1.05425i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.252236 + 0.291095i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(-1.87100 - 0.549377i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.51634 + 0.974491i) q^{4} +(-0.563341 + 3.91812i) q^{5} +(-1.64044 + 1.05425i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.252236 + 0.291095i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(3.20654 - 7.02134i) q^{10} +(-1.04057 + 0.305538i) q^{11} +(1.72946 - 0.507816i) q^{12} +(-1.23310 + 2.70012i) q^{13} +(0.277513 + 1.93015i) q^{14} +(2.59221 + 2.99157i) q^{15} +(-1.80956 - 3.96239i) q^{16} +(-1.54003 + 0.989718i) q^{17} +(-0.277513 + 1.93015i) q^{18} +(-5.42300 - 3.48515i) q^{19} +(-4.67239 + 5.39223i) q^{20} +(-0.959493 - 0.281733i) q^{21} +2.11476 q^{22} +(-2.26039 - 4.22973i) q^{23} +0.385174 q^{24} +(-10.2369 - 3.00582i) q^{25} +(3.79052 - 4.37450i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(0.256519 - 1.78413i) q^{28} +(-0.846829 + 0.544224i) q^{29} +(-3.20654 - 7.02134i) q^{30} +(-1.58783 - 1.83246i) q^{31} +(1.09922 + 7.64527i) q^{32} +(-0.450516 + 0.986492i) q^{33} +(3.42513 - 1.00571i) q^{34} +(3.79807 - 1.11521i) q^{35} +(0.748775 - 1.63959i) q^{36} +(0.612762 + 4.26185i) q^{37} +(8.23179 + 9.50000i) q^{38} +(1.23310 + 2.70012i) q^{39} +(-1.28264 + 0.824304i) q^{40} +(-1.37785 + 9.58319i) q^{41} +(1.64044 + 1.05425i) q^{42} +(3.43032 - 3.95880i) q^{43} +(-1.87559 - 0.550724i) q^{44} +3.95841 q^{45} +(1.90548 + 9.15566i) q^{46} -6.58218 q^{47} +(-4.17959 - 1.22724i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(17.5019 + 11.2478i) q^{50} +(-0.260527 + 1.81201i) q^{51} +(-4.50104 + 2.89264i) q^{52} +(-2.63940 - 5.77948i) q^{53} +(1.27697 + 1.47371i) q^{54} +(-0.610941 - 4.24919i) q^{55} +(0.160007 - 0.350367i) q^{56} +(-6.18521 + 1.81614i) q^{57} +(1.88340 - 0.553017i) q^{58} +(-5.92723 + 12.9788i) q^{59} +(1.01541 + 7.06232i) q^{60} +(1.48593 + 1.71486i) q^{61} +(1.96414 + 4.30086i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(0.903623 - 6.28484i) q^{64} +(-9.88474 - 6.35254i) q^{65} +(1.38487 - 1.59823i) q^{66} +(4.03311 + 1.18423i) q^{67} -3.29968 q^{68} +(-4.67686 - 1.06160i) q^{69} -7.71888 q^{70} +(2.52052 + 0.740092i) q^{71} +(0.252236 - 0.291095i) q^{72} +(0.00921382 + 0.00592136i) q^{73} +(1.19488 - 8.31058i) q^{74} +(-8.97537 + 5.76812i) q^{75} +(-4.82685 - 10.5693i) q^{76} +(0.710194 + 0.819607i) q^{77} +(-0.823760 - 5.72937i) q^{78} +(-4.36904 + 9.56685i) q^{79} +(16.5445 - 4.85791i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(7.84275 - 17.1732i) q^{82} +(-2.25034 - 15.6514i) q^{83} +(-1.18037 - 1.36222i) q^{84} +(-3.01027 - 6.59158i) q^{85} +(-8.59302 + 5.52240i) q^{86} +(-0.143258 + 0.996381i) q^{87} +(-0.351408 - 0.225836i) q^{88} +(-9.62420 + 11.1069i) q^{89} +(-7.40621 - 2.17466i) q^{90} +2.96836 q^{91} +(0.694326 - 8.61643i) q^{92} -2.42469 q^{93} +(12.3153 + 3.61609i) q^{94} +(16.7102 - 19.2846i) q^{95} +(6.49775 + 4.17585i) q^{96} +(-1.41794 + 9.86200i) q^{97} +(1.64044 - 1.05425i) q^{98} +(0.450516 + 0.986492i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20} - 6 q^{21} - 28 q^{22} - 13 q^{23} + 42 q^{24} - 15 q^{25} - 4 q^{26} + 6 q^{27} + 14 q^{28} - 23 q^{29} + 4 q^{30} + 27 q^{31} + 37 q^{32} + q^{33} + 3 q^{34} + 6 q^{35} - 3 q^{36} - 82 q^{37} + 2 q^{38} - 22 q^{39} + 57 q^{40} - 22 q^{41} - q^{42} + 25 q^{43} - 41 q^{44} + 16 q^{45} - 47 q^{46} - 90 q^{47} - 28 q^{48} - 6 q^{49} + 55 q^{50} - 9 q^{51} - 92 q^{52} - 17 q^{53} - 10 q^{54} + 21 q^{55} + 9 q^{56} - 32 q^{57} + 87 q^{58} + 38 q^{59} - 45 q^{60} + 23 q^{61} + q^{62} + 6 q^{63} - 75 q^{64} - 75 q^{65} + 61 q^{66} + 5 q^{67} + 88 q^{68} + 13 q^{69} - 18 q^{70} + 8 q^{71} + 13 q^{72} + 90 q^{73} + 79 q^{74} - 18 q^{75} - 85 q^{76} - 10 q^{77} - 18 q^{78} - 6 q^{79} - 147 q^{80} - 6 q^{81} + 112 q^{82} - 90 q^{83} - 3 q^{84} + 55 q^{85} - 8 q^{86} - 10 q^{87} - 210 q^{88} - 15 q^{89} - 4 q^{90} - 22 q^{91} + 39 q^{92} + 50 q^{93} + 144 q^{94} + 72 q^{95} + 7 q^{96} - 48 q^{97} - q^{98} - q^{99}+O(q^{100}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−1.87100	−	0.549377i	−1.32300	−	0.388468i	−0.457426	−	0.889248i	$-0.651228\pi$
$2$	−1.87100	−	0.549377i	−1.32300	−	0.388468i	−0.865575	+	0.500780i	$0.833047\pi$
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i
$4$	1.51634	+	0.974491i	0.758169	+	0.487246i
$5$	−0.563341	+	3.91812i	−0.251934	+	1.75224i	0.334644	+	0.942345i	$0.391384\pi$
$5$	−0.563341	+	3.91812i	−0.251934	+	1.75224i	−0.586577	+	0.809893i	$0.699525\pi$
$6$	−1.64044	+	1.05425i	−0.669706	+	0.430394i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$8$	0.252236	+	0.291095i	0.0891787	+	0.102918i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	3.20654	−	7.02134i	1.01400	−	2.22034i
$11$	−1.04057	+	0.305538i	−0.313743	+	0.0921231i	−0.434813	−	0.900521i	$-0.643186\pi$
$11$	−1.04057	+	0.305538i	−0.313743	+	0.0921231i	0.121070	+	0.992644i	$0.461367\pi$
$12$	1.72946	−	0.507816i	0.499252	−	0.146594i
$13$	−1.23310	+	2.70012i	−0.342001	+	0.748878i	−0.999991	−	0.00414831i	$-0.998680\pi$
$13$	−1.23310	+	2.70012i	−0.342001	+	0.748878i	0.657990	+	0.753027i	$0.271407\pi$
$14$	0.277513	+	1.93015i	0.0741685	+	0.515853i
$15$	2.59221	+	2.99157i	0.669306	+	0.772420i
$16$	−1.80956	−	3.96239i	−0.452391	−	0.990597i
$17$	−1.54003	+	0.989718i	−0.373513	+	0.240042i	−0.713907	−	0.700241i	$-0.753076\pi$
$17$	−1.54003	+	0.989718i	−0.373513	+	0.240042i	0.340394	+	0.940283i	$0.389440\pi$
$18$	−0.277513	+	1.93015i	−0.0654104	+	0.454940i
$19$	−5.42300	−	3.48515i	−1.24412	−	0.799548i	−0.258092	−	0.966120i	$-0.583094\pi$
$19$	−5.42300	−	3.48515i	−1.24412	−	0.799548i	−0.986029	+	0.166573i	$0.946730\pi$
$20$	−4.67239	+	5.39223i	−1.04478	+	1.20574i
$21$	−0.959493	−	0.281733i	−0.209379	−	0.0614791i
$22$	2.11476			0.450868
$23$	−2.26039	−	4.22973i	−0.471323	−	0.881960i
$23$	−2.26039	−	4.22973i	−0.471323	−	0.881960i
$24$	0.385174			0.0786234
$25$	−10.2369	−	3.00582i	−2.04737	−	0.601163i
$26$	3.79052	−	4.37450i	0.743383	−	0.857910i
$27$	−0.841254	−	0.540641i	−0.161899	−	0.104046i
$28$	0.256519	−	1.78413i	0.0484775	−	0.337168i
$29$	−0.846829	+	0.544224i	−0.157252	+	0.101060i	−0.616900	−	0.787041i	$-0.711612\pi$
$29$	−0.846829	+	0.544224i	−0.157252	+	0.101060i	0.459648	+	0.888101i	$0.347975\pi$
$30$	−3.20654	−	7.02134i	−0.585431	−	1.28192i
$31$	−1.58783	−	1.83246i	−0.285183	−	0.329119i	0.595024	−	0.803708i	$-0.297142\pi$
$31$	−1.58783	−	1.83246i	−0.285183	−	0.329119i	−0.880208	+	0.474588i	$0.842597\pi$
$32$	1.09922	+	7.64527i	0.194317	+	1.35151i
$33$	−0.450516	+	0.986492i	−0.0784248	+	0.171726i
$34$	3.42513	−	1.00571i	0.587406	−	0.172478i
$35$	3.79807	−	1.11521i	0.641991	−	0.188506i
$36$	0.748775	−	1.63959i	0.124796	−	0.273265i
$37$	0.612762	+	4.26185i	0.100737	+	0.700644i	0.976123	+	0.217219i	$0.0696984\pi$
$37$	0.612762	+	4.26185i	0.100737	+	0.700644i	−0.875386	+	0.483425i	$0.839392\pi$
$38$	8.23179	+	9.50000i	1.33537	+	1.54110i
$39$	1.23310	+	2.70012i	0.197454	+	0.432365i
$40$	−1.28264	+	0.824304i	−0.202803	+	0.130334i
$41$	−1.37785	+	9.58319i	−0.215185	+	1.49664i	0.540298	+	0.841474i	$0.318312\pi$
$41$	−1.37785	+	9.58319i	−0.215185	+	1.49664i	−0.755482	+	0.655169i	$0.772597\pi$
$42$	1.64044	+	1.05425i	0.253125	+	0.162674i
$43$	3.43032	−	3.95880i	0.523119	−	0.603711i	−0.431290	−	0.902213i	$-0.641941\pi$
$43$	3.43032	−	3.95880i	0.523119	−	0.603711i	0.954409	+	0.298502i	$0.0964869\pi$
$44$	−1.87559	−	0.550724i	−0.282756	−	0.0830248i
$45$	3.95841			0.590086
$46$	1.90548	+	9.15566i	0.280948	+	1.34993i
$47$	−6.58218			−0.960109			−0.480054	−	0.877239i	$-0.659383\pi$
$47$	−6.58218			−0.960109			−0.480054	+	0.877239i	$0.659383\pi$
$48$	−4.17959	−	1.22724i	−0.603271	−	0.177136i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	17.5019	+	11.2478i	2.47514	+	1.59068i
$51$	−0.260527	+	1.81201i	−0.0364811	+	0.253732i
$52$	−4.50104	+	2.89264i	−0.624182	+	0.401138i
$53$	−2.63940	−	5.77948i	−0.362549	−	0.793872i	−0.999732	−	0.0231593i	$-0.992628\pi$
$53$	−2.63940	−	5.77948i	−0.362549	−	0.793872i	0.637182	−	0.770713i	$-0.280100\pi$
$54$	1.27697	+	1.47371i	0.173774	+	0.200546i
$55$	−0.610941	−	4.24919i	−0.0823793	−	0.572961i
$56$	0.160007	−	0.350367i	0.0213819	−	0.0468197i
$57$	−6.18521	+	1.81614i	−0.819251	+	0.240554i
$58$	1.88340	−	0.553017i	0.247303	−	0.0726147i
$59$	−5.92723	+	12.9788i	−0.771660	+	1.68970i	−0.0486971	+	0.998814i	$0.515507\pi$
$59$	−5.92723	+	12.9788i	−0.771660	+	1.68970i	−0.722963	+	0.690887i	$0.757220\pi$
$60$	1.01541	+	7.06232i	0.131089	+	0.911741i
$61$	1.48593	+	1.71486i	0.190254	+	0.219565i	0.842861	−	0.538132i	$-0.180870\pi$
$61$	1.48593	+	1.71486i	0.190254	+	0.219565i	−0.652606	+	0.757697i	$0.726324\pi$
$62$	1.96414	+	4.30086i	0.249446	+	0.546209i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	0.903623	−	6.28484i	0.112953	−	0.785605i
$65$	−9.88474	−	6.35254i	−1.22605	−	0.787935i
$66$	1.38487	−	1.59823i	0.170466	−	0.196728i
$67$	4.03311	+	1.18423i	0.492723	+	0.144677i	0.518649	−	0.854987i	$-0.326435\pi$
$67$	4.03311	+	1.18423i	0.492723	+	0.144677i	−0.0259257	+	0.999664i	$0.508253\pi$
$68$	−3.29968			−0.400145
$69$	−4.67686	−	1.06160i	−0.563028	−	0.127802i
$70$	−7.71888			−0.922583
$71$	2.52052	+	0.740092i	0.299131	+	0.0878327i	0.427854	−	0.903848i	$-0.359270\pi$
$71$	2.52052	+	0.740092i	0.299131	+	0.0878327i	−0.128723	+	0.991681i	$0.541088\pi$
$72$	0.252236	−	0.291095i	0.0297262	−	0.0343059i
$73$	0.00921382	+	0.00592136i	0.00107840	+	0.000693043i	0.541180	−	0.840907i	$-0.317978\pi$
$73$	0.00921382	+	0.00592136i	0.00107840	+	0.000693043i	−0.540102	+	0.841600i	$0.681614\pi$
$74$	1.19488	−	8.31058i	0.138902	−	0.966085i
$75$	−8.97537	+	5.76812i	−1.03639	+	0.666045i
$76$	−4.82685	−	10.5693i	−0.553677	−	1.21238i
$77$	0.710194	+	0.819607i	0.0809341	+	0.0934029i
$78$	−0.823760	−	5.72937i	−0.0932724	−	0.648724i
$79$	−4.36904	+	9.56685i	−0.491555	+	1.07636i	0.487568	+	0.873085i	$0.337884\pi$
$79$	−4.36904	+	9.56685i	−0.491555	+	1.07636i	−0.979123	+	0.203270i	$0.934843\pi$
$80$	16.5445	−	4.85791i	1.84973	−	0.543131i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	7.84275	−	17.1732i	0.866087	−	1.89647i
$83$	−2.25034	−	15.6514i	−0.247007	−	1.71797i	−0.615329	−	0.788270i	$-0.710977\pi$
$83$	−2.25034	−	15.6514i	−0.247007	−	1.71797i	0.368323	−	0.929698i	$-0.379932\pi$
$84$	−1.18037	−	1.36222i	−0.128789	−	0.148630i
$85$	−3.01027	−	6.59158i	−0.326510	−	0.714958i
$86$	−8.59302	+	5.52240i	−0.926609	+	0.595495i
$87$	−0.143258	+	0.996381i	−0.0153589	+	0.106823i
$88$	−0.351408	−	0.225836i	−0.0374603	−	0.0240742i
$89$	−9.62420	+	11.1069i	−1.02016	+	1.17733i	−0.0361302	+	0.999347i	$0.511503\pi$
$89$	−9.62420	+	11.1069i	−1.02016	+	1.17733i	−0.984033	+	0.177984i	$0.943042\pi$
$90$	−7.40621	−	2.17466i	−0.780683	−	0.229229i
$91$	2.96836			0.311169
$92$	0.694326	−	8.61643i	0.0723885	−	0.898325i
$93$	−2.42469			−0.251429
$94$	12.3153	+	3.61609i	1.27022	+	0.372972i
$95$	16.7102	−	19.2846i	1.71443	−	1.97856i
$96$	6.49775	+	4.17585i	0.663174	+	0.426196i
$97$	−1.41794	+	9.86200i	−0.143970	+	1.00133i	0.781876	+	0.623434i	$0.214263\pi$
$97$	−1.41794	+	9.86200i	−0.143970	+	1.00133i	−0.925846	+	0.377900i	$0.876646\pi$
$98$	1.64044	−	1.05425i	0.165709	−	0.106495i
$99$	0.450516	+	0.986492i	0.0452786	+	0.0991462i
$100$	−12.5934	−	14.5336i	−1.25934	−	1.45336i
$101$	1.04577	+	7.27348i	0.104058	+	0.723738i	0.973331	+	0.229406i	$0.0736783\pi$
$101$	1.04577	+	7.27348i	0.104058	+	0.723738i	−0.869273	+	0.494332i	$0.835413\pi$
$102$	1.48292	−	3.24714i	0.146831	−	0.321515i
$103$	13.0420	−	3.82947i	1.28506	−	0.377329i	0.433297	−	0.901251i	$-0.357350\pi$
$103$	13.0420	−	3.82947i	1.28506	−	0.377329i	0.851766	+	0.523922i	$0.175532\pi$
$104$	−1.09702	+	0.322115i	−0.107572	+	0.0315860i
$105$	1.64438	−	3.60070i	0.160476	−	0.351392i
$106$	1.76322	+	12.2635i	0.171259	+	1.19113i
$107$	−9.36894	−	10.8123i	−0.905730	−	1.04527i	−0.998769	−	0.0496054i	$-0.984204\pi$
$107$	−9.36894	−	10.8123i	−0.905730	−	1.04527i	0.0930391	−	0.995662i	$-0.470342\pi$
$108$	−0.748775	−	1.63959i	−0.0720509	−	0.157769i
$109$	11.0127	−	7.07744i	1.05483	−	0.677896i	0.106216	−	0.994343i	$-0.466126\pi$
$109$	11.0127	−	7.07744i	1.05483	−	0.677896i	0.948610	+	0.316448i	$0.102490\pi$
$110$	−1.19133	+	8.28589i	−0.113589	+	0.790029i
$111$	3.62216	+	2.32782i	0.343801	+	0.220947i
$112$	−2.85260	+	3.29207i	−0.269545	+	0.311072i
$113$	13.0581	+	3.83422i	1.22841	+	0.360693i	0.830648	−	0.556797i	$-0.187970\pi$
$113$	13.0581	+	3.83422i	1.22841	+	0.360693i	0.397759	+	0.917490i	$0.369788\pi$
$114$	12.5703			1.17732
$115$	17.8460	−	6.47370i	1.66415	−	0.603675i
$116$	−1.81442			−0.168465
$117$	2.84812	+	0.836285i	0.263309	+	0.0773146i
$118$	18.2202	−	21.0272i	1.67730	−	1.93571i
$119$	1.54003	+	0.989718i	0.141174	+	0.0907273i
$120$	−0.216984	+	1.50916i	−0.0198079	+	0.137767i
$121$	−8.26436	+	5.31118i	−0.751306	+	0.482835i
$122$	−1.83809	−	4.02485i	−0.166413	−	0.364393i
$123$	6.34019	+	7.31697i	0.571676	+	0.659749i
$124$	−0.621979	−	4.32596i	−0.0558553	−	0.388482i
$125$	9.32209	−	20.4125i	0.833793	−	1.82575i
$126$	1.87100	−	0.549377i	0.166682	−	0.0489424i
$127$	5.94462	−	1.74550i	0.527500	−	0.154888i	−0.00712954	−	0.999975i	$-0.502269\pi$
$127$	5.94462	−	1.74550i	0.527500	−	0.154888i	0.534629	+	0.845087i	$0.320451\pi$
$128$	1.27381	−	2.78926i	0.112590	−	0.246539i
$129$	−0.745480	−	5.18493i	−0.0656358	−	0.456507i
$130$	15.0045	+	17.3161i	1.31598	+	1.51872i
$131$	−8.09946	−	17.7353i	−0.707653	−	1.54954i	−0.830438	−	0.557111i	$-0.811910\pi$
$131$	−8.09946	−	17.7353i	−0.707653	−	1.54954i	0.122785	−	0.992433i	$-0.460817\pi$
$132$	−1.64446	+	1.05683i	−0.143132	+	0.0919854i
$133$	−0.917408	+	6.38071i	−0.0795494	+	0.553278i
$134$	−6.89539	−	4.43140i	−0.595671	−	0.382814i
$135$	2.59221	−	2.99157i	0.223102	−	0.257473i
$136$	−0.676553	−	0.198654i	−0.0580139	−	0.0170344i
$137$	−9.87134			−0.843365			−0.421683	−	0.906744i	$-0.638560\pi$
$137$	−9.87134			−0.843365			−0.421683	+	0.906744i	$0.638560\pi$
$138$	8.16721	+	4.55561i	0.695239	+	0.387800i
$139$	−5.37943			−0.456278			−0.228139	−	0.973629i	$-0.573264\pi$
$139$	−5.37943			−0.456278			−0.228139	+	0.973629i	$0.573264\pi$
$140$	6.84592	+	2.01014i	0.578586	+	0.169888i
$141$	−4.31041	+	4.97448i	−0.363002	+	0.418926i
$142$	−4.30932	−	2.76943i	−0.361630	−	0.232405i
$143$	0.458137	−	3.18641i	0.0383113	−	0.266461i
$144$	−3.66453	+	2.35505i	−0.305378	+	0.196254i
$145$	−1.65528	−	3.62456i	−0.137464	−	0.301003i
$146$	−0.0139860	−	0.0161408i	−0.00115749	−	0.00133582i
$147$	0.142315	+	0.989821i	0.0117379	+	0.0816391i
$148$	−3.22398	+	7.05953i	−0.265010	+	0.580290i
$149$	6.40958	−	1.88202i	0.525094	−	0.154181i	−0.00843340	−	0.999964i	$-0.502684\pi$
$149$	6.40958	−	1.88202i	0.525094	−	0.154181i	0.533527	+	0.845783i	$0.320866\pi$
$150$	19.9618	−	5.86132i	1.62988	−	0.478575i
$151$	−0.187893	+	0.411428i	−0.0152905	+	0.0334815i	−0.917123	−	0.398604i	$-0.869495\pi$
$151$	−0.187893	+	0.411428i	−0.0152905	+	0.0334815i	0.901833	+	0.432085i	$0.142222\pi$
$152$	−0.353362	−	2.45769i	−0.0286614	−	0.199345i
$153$	1.19881	+	1.38350i	0.0969183	+	0.111850i
$154$	−0.878503	−	1.92365i	−0.0707918	−	0.155012i
$155$	8.07429	−	5.18903i	0.648543	−	0.416793i
$156$	−0.761441	+	5.29594i	−0.0609641	+	0.424015i
$157$	−7.04896	−	4.53009i	−0.562568	−	0.361540i	0.228240	−	0.973605i	$-0.426703\pi$
$157$	−7.04896	−	4.53009i	−0.562568	−	0.361540i	−0.790808	+	0.612064i	$0.790339\pi$
$158$	13.4303	−	15.4994i	1.06846	−	1.23306i
$159$	−6.09628	−	1.79003i	−0.483466	−	0.141958i
$160$	−30.5744			−2.41712
$161$	−2.90850	+	3.81322i	−0.229222	+	0.300524i
$162$	1.94999			0.153206
$163$	4.87994	+	1.43288i	0.382226	+	0.112232i	0.467201	−	0.884151i	$-0.345263\pi$
$163$	4.87994	+	1.43288i	0.382226	+	0.112232i	−0.0849743	+	0.996383i	$0.527081\pi$
$164$	−11.4280	+	13.1886i	−0.892379	+	1.02986i
$165$	−3.61140	−	2.32091i	−0.281147	−	0.180682i
$166$	−4.38814	+	30.5202i	−0.340586	+	2.36883i
$167$	−14.9263	+	9.59258i	−1.15504	+	0.742296i	−0.970635	−	0.240555i	$-0.922670\pi$
$167$	−14.9263	+	9.59258i	−1.15504	+	0.742296i	−0.184400	+	0.982851i	$0.559034\pi$
$168$	−0.160007	−	0.350367i	−0.0123448	−	0.0270314i
$169$	2.74309	+	3.16570i	0.211007	+	0.243515i
$170$	2.01098	+	13.9867i	0.154235	+	1.07273i
$171$	−2.67790	+	5.86379i	−0.204784	+	0.448415i
$172$	9.05934	−	2.66006i	0.690768	−	0.202828i
$173$	13.0180	−	3.82243i	0.989740	−	0.290614i	0.253501	−	0.967335i	$-0.418418\pi$
$173$	13.0180	−	3.82243i	0.989740	−	0.290614i	0.736239	+	0.676721i	$0.236600\pi$
$174$	0.815425	−	1.78553i	0.0618172	−	0.135361i
$175$	1.51836	+	10.5604i	0.114777	+	0.798295i
$176$	3.09363	+	3.57024i	0.233191	+	0.269117i
$177$	5.92723	+	12.9788i	0.445518	+	0.975549i
$178$	24.1088	−	15.4938i	1.80703	−	1.16131i
$179$	−3.26673	+	22.7206i	−0.244167	+	1.69822i	0.386602	+	0.922247i	$0.373649\pi$
$179$	−3.26673	+	22.7206i	−0.244167	+	1.69822i	−0.630769	+	0.775971i	$0.717260\pi$
$180$	6.00229	+	3.85744i	0.447384	+	0.287517i
$181$	8.23529	−	9.50403i	0.612124	−	0.706429i	−0.362068	−	0.932152i	$-0.617929\pi$
$181$	8.23529	−	9.50403i	0.612124	−	0.706429i	0.974191	+	0.225723i	$0.0724745\pi$
$182$	−5.55382	−	1.63075i	−0.411677	−	0.120879i
$183$	2.26908			0.167736
$184$	0.661105	−	1.72488i	0.0487373	−	0.127160i
$185$	−17.0436			−1.25307
$186$	4.53661	+	1.33207i	0.332640	+	0.0976720i
$187$	1.30011	−	1.50041i	0.0950734	−	0.109721i
$188$	−9.98080	−	6.41427i	−0.727925	−	0.467809i
$189$	−0.142315	+	0.989821i	−0.0103519	+	0.0719989i
$190$	−41.8595	+	26.9014i	−3.03681	+	1.95164i
$191$	3.01020	+	6.59141i	0.217810	+	0.476938i	0.986722	−	0.162417i	$-0.0519289\pi$
$191$	3.01020	+	6.59141i	0.217810	+	0.476938i	−0.768912	+	0.639355i	$0.779202\pi$
$192$	−4.15802	−	4.79861i	−0.300079	−	0.346310i
$193$	0.507252	+	3.52801i	0.0365128	+	0.253952i	0.999900	−	0.0141630i	$-0.00450837\pi$
$193$	0.507252	+	3.52801i	0.0365128	+	0.253952i	−0.963387	+	0.268115i	$0.913599\pi$
$194$	8.07093	−	17.6729i	0.579459	−	1.26884i
$195$	−11.2741	+	3.31036i	−0.807352	+	0.237060i
$196$	−1.72946	+	0.507816i	−0.123533	+	0.0362725i
$197$	6.51410	−	14.2639i	0.464110	−	1.01626i	−0.522421	−	0.852688i	$-0.674971\pi$
$197$	6.51410	−	14.2639i	0.464110	−	1.01626i	0.986531	−	0.163572i	$-0.0523017\pi$
$198$	−0.300962	−	2.09323i	−0.0213884	−	0.148760i
$199$	6.84987	+	7.90517i	0.485574	+	0.560383i	0.944678	−	0.328000i	$-0.106375\pi$
$199$	6.84987	+	7.90517i	0.485574	+	0.560383i	−0.459103	+	0.888383i	$0.651829\pi$
$200$	−1.70712	−	3.73808i	−0.120712	−	0.264322i
$201$	3.53611	−	2.27252i	0.249418	−	0.160291i
$202$	2.03924	−	14.1832i	0.143481	−	0.997929i
$203$	0.846829	+	0.544224i	0.0594357	+	0.0381970i
$204$	−2.16083	+	2.49373i	−0.151288	+	0.174596i
$205$	−36.7719	−	10.7972i	−2.56826	−	0.754110i
$206$	−26.5054			−1.84672
$207$	−3.86499	+	2.83933i	−0.268636	+	0.197347i
$208$	12.9303			0.896555
$209$	6.70783	+	1.96960i	0.463990	+	0.136240i
$210$	−5.05479	+	5.83354i	−0.348814	+	0.402553i
$211$	−11.5433	−	7.41843i	−0.794674	−	0.510706i	0.0791999	−	0.996859i	$-0.474763\pi$
$211$	−11.5433	−	7.41843i	−0.794674	−	0.510706i	−0.873874	+	0.486153i	$0.838400\pi$
$212$	1.62983	−	11.3357i	0.111937	−	0.778540i
$213$	2.20991	−	1.42023i	0.151421	−	0.0973122i
$214$	11.5893	+	25.3770i	0.792228	+	1.73474i
$215$	13.5786	+	15.6706i	0.926055	+	1.06872i
$216$	−0.0548160	−	0.381254i	−0.00372976	−	0.0259410i
$217$	−1.00725	+	2.20558i	−0.0683768	+	0.149724i
$218$	−24.4930	+	7.19180i	−1.65888	+	0.487090i
$219$	0.0105088	−	0.00308567i	0.000710121	−	0.000208510i
$220$	3.21440	−	7.03856i	0.216715	−	0.474540i
$221$	−0.773339	−	5.37869i	−0.0520204	−	0.361810i
$222$	−5.49824	−	6.34530i	−0.369017	−	0.425869i
$223$	4.91217	+	10.7561i	0.328943	+	0.720285i	0.999773	−	0.0213267i	$-0.00678902\pi$
$223$	4.91217	+	10.7561i	0.328943	+	0.720285i	−0.670829	+	0.741612i	$0.734062\pi$
$224$	6.49775	−	4.17585i	0.434149	−	0.279011i
$225$	−1.51836	+	10.5604i	−0.101224	+	0.704030i
$226$	−22.3254	−	14.3477i	−1.48507	−	0.954394i
$227$	−9.34095	+	10.7800i	−0.619981	+	0.715496i	−0.975703	−	0.219096i	$-0.929689\pi$
$227$	−9.34095	+	10.7800i	−0.619981	+	0.715496i	0.355723	+	0.934592i	$0.384235\pi$
$228$	−11.1487	−	3.27355i	−0.738339	−	0.216796i
$229$	6.93964			0.458584			0.229292	−	0.973358i	$-0.426359\pi$
$229$	6.93964			0.458584			0.229292	+	0.973358i	$0.426359\pi$
$230$	−36.9464	+	2.30815i	−2.43618	+	0.152195i
$231$	1.08450			0.0713546
$232$	−0.372021	−	0.109235i	−0.0244244	−	0.00717165i
$233$	−15.0760	+	17.3987i	−0.987664	+	1.13983i	0.00251155	+	0.999997i	$0.499201\pi$
$233$	−15.0760	+	17.3987i	−0.987664	+	1.13983i	−0.990176	+	0.139828i	$0.955345\pi$
$234$	−4.86942	−	3.12939i	−0.318324	−	0.204574i
$235$	3.70801	−	25.7898i	0.241884	−	1.68234i
$236$	−21.6354	+	13.9043i	−1.40835	+	0.905090i
$237$	4.36904	+	9.56685i	0.283799	+	0.621434i
$238$	−2.33768	−	2.69783i	−0.151529	−	0.174874i
$239$	−0.270851	−	1.88381i	−0.0175199	−	0.121854i	0.979185	−	0.202972i	$-0.0650600\pi$
$239$	−0.270851	−	1.88381i	−0.0175199	−	0.121854i	−0.996704	+	0.0811182i	$0.974151\pi$
$240$	7.16300	−	15.6848i	0.462370	−	1.01245i
$241$	−8.61534	+	2.52969i	−0.554963	+	0.162952i	−0.547176	−	0.837018i	$-0.684297\pi$
$241$	−8.61534	+	2.52969i	−0.554963	+	0.162952i	−0.00778733	+	0.999970i	$0.502479\pi$
$242$	18.3805	−	5.39700i	1.18154	−	0.346933i
$243$	−0.415415	+	0.909632i	−0.0266489	+	0.0583529i
$244$	0.582063	+	4.04834i	0.0372628	+	0.259168i
$245$	−2.59221	−	2.99157i	−0.165610	−	0.191124i
$246$	−7.84275	−	17.1732i	−0.500036	−	1.09493i
$247$	16.0974	−	10.3452i	1.02425	−	0.658249i
$248$	0.132912	−	0.924422i	0.00843991	−	0.0587009i
$249$	−13.3022	−	8.54882i	−0.842994	−	0.541759i
$250$	−28.6558	+	33.0706i	−1.81235	+	2.09157i
$251$	27.2129	+	7.99042i	1.71766	+	0.504351i	0.984452	−	0.175653i	$-0.0562037\pi$
$251$	27.2129	+	7.99042i	1.71766	+	0.504351i	0.733209	+	0.680004i	$0.238022\pi$
$252$	−1.80247			−0.113545
$253$	3.64443	+	3.71068i	0.229123	+	0.233289i
$254$	−12.0814			−0.758051
$255$	−6.95290	−	2.04155i	−0.435407	−	0.127847i
$256$	−12.2317	+	14.1161i	−0.764481	+	0.882259i
$257$	16.2611	+	10.4504i	1.01434	+	0.651877i	0.938513	−	0.345243i	$-0.112204\pi$
$257$	16.2611	+	10.4504i	1.01434	+	0.651877i	0.0758280	+	0.997121i	$0.475840\pi$
$258$	−1.45368	+	10.1106i	−0.0905022	+	0.629457i
$259$	3.62216	−	2.32782i	0.225070	−	0.144644i
$260$	−8.79811	−	19.2652i	−0.545636	−	1.19478i
$261$	0.659200	+	0.760758i	0.0408035	+	0.0470897i
$262$	5.41075	+	37.6326i	0.334277	+	2.32495i
$263$	6.61869	−	14.4929i	0.408126	−	0.893671i	−0.588255	−	0.808675i	$-0.700185\pi$
$263$	6.61869	−	14.4929i	0.408126	−	0.893671i	0.996381	−	0.0849958i	$-0.0270877\pi$
$264$	−0.400799	+	0.117685i	−0.0246675	+	0.00724303i
$265$	24.1316	−	7.08567i	1.48239	−	0.435269i
$266$	5.22189	−	11.4343i	0.320175	−	0.701085i
$267$	2.09154	+	14.5470i	0.128000	+	0.890260i
$268$	4.96154	+	5.72592i	0.303074	+	0.349767i
$269$	4.91275	+	10.7574i	0.299536	+	0.655892i	0.998226	−	0.0595323i	$-0.0189609\pi$
$269$	4.91275	+	10.7574i	0.299536	+	0.655892i	−0.698691	+	0.715424i	$0.746234\pi$
$270$	−6.49354	+	4.17314i	−0.395184	+	0.253969i
$271$	−1.77309	+	12.3321i	−0.107708	+	0.749123i	0.862361	+	0.506293i	$0.168985\pi$
$271$	−1.77309	+	12.3321i	−0.107708	+	0.749123i	−0.970069	+	0.242830i	$0.921924\pi$
$272$	6.70843	+	4.31125i	0.406758	+	0.261408i
$273$	1.94386	−	2.24334i	0.117648	−	0.135773i
$274$	18.4693	+	5.42308i	1.11577	+	0.327620i
$275$	11.5705			0.697729
$276$	−6.05718	−	6.16730i	−0.364599	−	0.371228i
$277$	−21.3805			−1.28463			−0.642316	−	0.766440i	$-0.722026\pi$
$277$	−21.3805			−1.28463			−0.642316	+	0.766440i	$0.722026\pi$
$278$	10.0649	+	2.95534i	0.603655	+	0.177249i
$279$	−1.58783	+	1.83246i	−0.0950612	+	0.109706i
$280$	1.28264	+	0.824304i	0.0766525	+	0.0492616i
$281$	2.91607	−	20.2817i	0.173958	−	1.20990i	−0.696462	−	0.717594i	$-0.745243\pi$
$281$	2.91607	−	20.2817i	0.173958	−	1.20990i	0.870420	−	0.492310i	$-0.163847\pi$
$282$	10.7977	−	6.93923i	0.642991	−	0.413225i
$283$	12.1365	+	26.5753i	0.721442	+	1.57974i	0.811872	+	0.583835i	$0.198449\pi$
$283$	12.1365	+	26.5753i	0.721442	+	1.57974i	−0.0904301	+	0.995903i	$0.528824\pi$
$284$	3.10075	+	3.57845i	0.183996	+	0.212342i
$285$	−3.63148	−	25.2575i	−0.215110	−	1.49613i
$286$	−2.60772	+	5.71010i	−0.154198	+	0.337645i
$287$	9.28956	−	2.72766i	0.548345	−	0.161009i
$288$	7.41102	−	2.17607i	0.436699	−	0.128226i
$289$	−5.66990	+	12.4153i	−0.333524	+	0.730315i
$290$	1.10579	+	7.69095i	0.0649343	+	0.451628i
$291$	6.52465	+	7.52984i	0.382482	+	0.441407i
$292$	0.00820095	+	0.0179576i	0.000479924	+	0.00105089i
$293$	24.6306	−	15.8291i	1.43894	−	0.924749i	0.439285	−	0.898348i	$-0.355232\pi$
$293$	24.6306	−	15.8291i	1.43894	−	0.924749i	0.999651	−	0.0264010i	$-0.00840467\pi$
$294$	0.277513	−	1.93015i	0.0161849	−	0.112568i
$295$	−47.5136	−	30.5351i	−2.76635	−	1.77782i
$296$	−1.08604	+	1.25336i	−0.0631250	+	0.0728502i
$297$	1.04057	+	0.305538i	0.0603798	+	0.0177291i
$298$	−13.0263			−0.754593
$299$	14.2081	−	0.887619i	0.821674	−	0.0513323i
$300$	−19.2307			−1.11028
$301$	−5.02606	−	1.47578i	−0.289697	−	0.0850628i
$302$	0.577577	−	0.666559i	0.0332358	−	0.0383562i
$303$	6.18176	+	3.97278i	0.355133	+	0.228230i
$304$	−3.99626	+	27.7946i	−0.229201	+	1.59413i
$305$	−7.55612	+	4.85602i	−0.432662	+	0.278055i
$306$	−1.48292	−	3.24714i	−0.0847730	−	0.185627i
$307$	14.6456	+	16.9019i	0.835866	+	0.964641i	0.999762	−	0.0218370i	$-0.00695150\pi$
$307$	14.6456	+	16.9019i	0.835866	+	0.964641i	−0.163896	+	0.986478i	$0.552406\pi$
$308$	0.278194	+	1.93488i	0.0158516	+	0.110250i
$309$	5.64655	−	12.3642i	0.321221	−	0.703376i
$310$	−17.9578	+	5.27288i	−1.01993	+	0.299479i
$311$	−22.1205	+	6.49515i	−1.25434	+	0.368306i	−0.840383	−	0.541992i	$-0.817670\pi$
$311$	−22.1205	+	6.49515i	−1.25434	+	0.368306i	−0.413952	+	0.910299i	$0.635852\pi$
$312$	−0.474960	+	1.04002i	−0.0268893	+	0.0588793i
$313$	−1.28664	−	8.94881i	−0.0727255	−	0.505817i	−0.993329	−	0.115317i	$-0.963211\pi$
$313$	−1.28664	−	8.94881i	−0.0727255	−	0.505817i	0.920603	−	0.390499i	$-0.127698\pi$
$314$	10.6999	+	12.3483i	0.603831	+	0.696858i
$315$	−1.64438	−	3.60070i	−0.0926506	−	0.202876i
$316$	−15.9477	+	10.2490i	−0.897131	+	0.576551i
$317$	−1.31577	+	9.15135i	−0.0739008	+	0.513991i	0.918926	+	0.394430i	$0.129058\pi$
$317$	−1.31577	+	9.15135i	−0.0739008	+	0.513991i	−0.992827	+	0.119561i	$0.961851\pi$
$318$	10.4228	+	6.69830i	0.584480	+	0.375622i
$319$	0.714900	−	0.825039i	0.0400267	−	0.0461933i
$320$	24.1157	+	7.08101i	1.34811	+	0.395841i
$321$	−14.3068			−0.798526
$322$	7.53671	−	5.53668i	0.420005	−	0.308547i
$323$	11.8009			0.656620
$324$	−1.72946	−	0.507816i	−0.0960812	−	0.0282120i
$325$	20.7392	−	23.9343i	1.15040	−	1.32764i
$326$	−8.34320	−	5.36185i	−0.462087	−	0.296965i
$327$	1.86302	−	12.9576i	0.103025	−	0.716556i
$328$	−3.13717	+	2.01613i	−0.173221	+	0.111322i
$329$	2.73433	+	5.98736i	0.150749	+	0.330094i
$330$	5.48190	+	6.32645i	0.301769	+	0.348260i
$331$	5.02229	+	34.9308i	0.276050	+	1.91997i	0.379223	+	0.925305i	$0.376191\pi$
$331$	5.02229	+	34.9308i	0.276050	+	1.91997i	−0.103173	+	0.994663i	$0.532899\pi$
$332$	11.8399	−	25.9258i	0.649800	−	1.42286i
$333$	4.13127	−	1.21305i	0.226392	−	0.0664747i
$334$	33.1972	−	9.74758i	1.81647	−	0.533364i
$335$	−6.91197	+	15.1351i	−0.377642	+	0.826920i
$336$	0.619928	+	4.31170i	0.0338199	+	0.235222i
$337$	−18.4049	−	21.2404i	−1.00258	−	1.15704i	−0.987575	−	0.157149i	$-0.949770\pi$
$337$	−18.4049	−	21.2404i	−1.00258	−	1.15704i	−0.0150025	−	0.999887i	$-0.504776\pi$
$338$	−3.39318	−	7.43002i	−0.184565	−	0.404140i
$339$	11.4490	−	7.35781i	0.621823	−	0.399621i
$340$	1.85884	−	12.9286i	0.100810	−	0.701149i
$341$	2.21213	+	1.42165i	0.119794	+	0.0769867i
$342$	8.23179	−	9.50000i	0.445124	−	0.513701i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	2.01764			0.108784
$345$	6.79414	−	17.7265i	0.365784	−	0.954361i
$346$	−26.4567			−1.42232
$347$	−12.5130	−	3.67414i	−0.671732	−	0.197238i	−0.0719576	−	0.997408i	$-0.522925\pi$
$347$	−12.5130	−	3.67414i	−0.671732	−	0.197238i	−0.599774	+	0.800170i	$0.704743\pi$
$348$	−1.18819	+	1.37125i	−0.0636938	+	0.0735065i
$349$	−17.7458	−	11.4045i	−0.949910	−	0.610470i	−0.0287219	−	0.999587i	$-0.509144\pi$
$349$	−17.7458	−	11.4045i	−0.949910	−	0.610470i	−0.921188	+	0.389117i	$0.872780\pi$
$350$	2.96080	−	20.5928i	0.158261	−	1.10073i
$351$	2.49715	−	1.60482i	0.133288	−	0.0856589i
$352$	−3.47974	−	7.61956i	−0.185471	−	0.406124i
$353$	15.5619	+	17.9594i	0.828277	+	0.955882i	0.999570	−	0.0293380i	$-0.00933993\pi$
$353$	15.5619	+	17.9594i	0.828277	+	0.955882i	−0.171293	+	0.985220i	$0.554794\pi$
$354$	−3.95962	−	27.5397i	−0.210451	−	1.46372i
$355$	−4.31968	+	9.45879i	−0.229265	+	0.502020i
$356$	−25.4171	+	7.46315i	−1.34711	+	0.395546i
$357$	1.75649	−	0.515751i	0.0929631	−	0.0272964i
$358$	18.5942	−	40.7157i	0.982736	−	2.15189i
$359$	−0.585696	−	4.07361i	−0.0309119	−	0.214997i	0.968511	−	0.248971i	$-0.0800925\pi$
$359$	−0.585696	−	4.07361i	−0.0309119	−	0.214997i	−0.999423	+	0.0339747i	$0.989183\pi$
$360$	0.998453	+	1.15228i	0.0526231	+	0.0607303i
$361$	9.36975	+	20.5169i	0.493145	+	1.07984i
$362$	−20.6295	+	13.2578i	−1.08427	+	0.696815i
$363$	−1.39808	+	9.72388i	−0.0733803	+	0.510371i
$364$	4.50104	+	2.89264i	0.235919	+	0.151616i
$365$	−0.0283911	+	0.0327651i	−0.00148606	+	0.00171501i
$366$	−4.24547	−	1.24658i	−0.221914	−	0.0651599i
$367$	15.4786			0.807977			0.403988	−	0.914764i	$-0.367624\pi$
$367$	15.4786			0.807977			0.403988	+	0.914764i	$0.367624\pi$
$368$	−12.6695	+	16.6105i	−0.660445	+	0.865882i
$369$	9.68174			0.504011
$370$	31.8887	+	9.36338i	1.65782	+	0.486779i
$371$	−4.16075	+	4.80176i	−0.216015	+	0.249295i
$372$	−3.67665	−	2.36284i	−0.190625	−	0.122507i
$373$	5.01022	−	34.8468i	0.259419	−	1.80430i	−0.277563	−	0.960708i	$-0.589527\pi$
$373$	5.01022	−	34.8468i	0.259419	−	1.80430i	0.536982	−	0.843594i	$-0.319564\pi$
$374$	−3.25680	+	2.09302i	−0.168405	+	0.108227i
$375$	−9.32209	−	20.4125i	−0.481390	−	1.05410i
$376$	−1.66026	−	1.91604i	−0.0856213	−	0.0988122i
$377$	−0.425242	−	2.95762i	−0.0219011	−	0.152325i
$378$	0.810057	−	1.77378i	0.0416648	−	0.0912332i
$379$	0.956789	−	0.280939i	0.0491470	−	0.0144309i	−0.257067	−	0.966394i	$-0.582756\pi$
$379$	0.956789	−	0.280939i	0.0491470	−	0.0144309i	0.306214	+	0.951963i	$0.400938\pi$
$380$	44.1311	−	12.9581i	2.26388	−	0.664734i
$381$	2.57374	−	5.63570i	0.131857	−	0.288726i
$382$	−2.01093	−	13.9863i	−0.102888	−	0.715601i
$383$	−12.5068	−	14.4336i	−0.639065	−	0.737521i	0.340144	−	0.940373i	$-0.389524\pi$
$383$	−12.5068	−	14.4336i	−0.639065	−	0.737521i	−0.979209	+	0.202853i	$0.934979\pi$
$384$	−1.27381	−	2.78926i	−0.0650041	−	0.142339i
$385$	−3.61140	+	2.32091i	−0.184054	+	0.118284i
$386$	0.989138	−	6.87961i	0.0503458	−	0.350163i
$387$	−4.40669	−	2.83201i	−0.224005	−	0.143959i
$388$	−11.7605	+	13.5723i	−0.597049	+	0.689032i
$389$	−20.1640	−	5.92068i	−1.02236	−	0.300191i	−0.272756	−	0.962083i	$-0.587935\pi$
$389$	−20.1640	−	5.92068i	−1.02236	−	0.300191i	−0.749599	+	0.661893i	$0.769754\pi$
$390$	22.9124			1.16022
$391$	7.66731	+	4.27678i	0.387753	+	0.216286i
$392$	−0.385174			−0.0194542
$393$	−18.7075	−	5.49302i	−0.943668	−	0.277086i
$394$	−20.0242	+	23.1091i	−1.00880	+	1.16422i
$395$	−35.0229	−	22.5078i	−1.76219	−	1.13249i
$396$	−0.278194	+	1.93488i	−0.0139798	+	0.0972313i
$397$	18.6212	−	11.9671i	0.934574	−	0.600614i	0.0177224	−	0.999843i	$-0.494358\pi$
$397$	18.6212	−	11.9671i	0.934574	−	0.600614i	0.916851	+	0.399229i	$0.130722\pi$
$398$	−8.47322	−	18.5538i	−0.424724	−	0.930017i
$399$	4.22145	+	4.87181i	0.211337	+	0.243896i
$400$	6.61404	+	46.0017i	0.330702	+	2.30008i
$401$	8.26172	−	18.0906i	0.412571	−	0.903404i	−0.583269	−	0.812279i	$-0.698227\pi$
$401$	8.26172	−	18.0906i	0.412571	−	0.903404i	0.995839	−	0.0911247i	$-0.0290462\pi$
$402$	−7.86455	+	2.30924i	−0.392248	+	0.115174i
$403$	6.90582	−	2.02773i	0.344003	−	0.101008i
$404$	−5.50220	+	12.0481i	−0.273745	+	0.599417i
$405$	−0.563341	−	3.91812i	−0.0279926	−	0.194693i
$406$	−1.28544	−	1.48347i	−0.0637951	−	0.0736235i
$407$	−1.93978	−	4.24752i	−0.0961511	−	0.210542i
$408$	−0.593181	+	0.381214i	−0.0293668	+	0.0188729i
$409$	3.84273	−	26.7267i	0.190011	−	1.32155i	−0.641962	−	0.766736i	$-0.721879\pi$
$409$	3.84273	−	26.7267i	0.190011	−	1.32155i	0.831973	−	0.554816i	$-0.187211\pi$
$410$	62.8687	+	40.4033i	3.10486	+	1.99538i
$411$	−6.46435	+	7.46026i	−0.318863	+	0.367987i
$412$	23.5078	+	6.90251i	1.15815	+	0.340063i
$413$	14.2682			0.702093
$414$	8.79129	−	3.18907i	0.432068	−	0.156734i
$415$	62.5920			3.07252
$416$	−21.9986	−	6.45937i	−1.07857	−	0.316697i
$417$	−3.52278	+	4.06551i	−0.172511	+	0.199089i
$418$	−11.4683	−	7.37025i	−0.560935	−	0.360491i
$419$	1.18722	−	8.25728i	0.0579994	−	0.403395i	−0.940054	−	0.341026i	$-0.889226\pi$
$419$	1.18722	−	8.25728i	0.0579994	−	0.403395i	0.998053	−	0.0623685i	$-0.0198654\pi$
$420$	6.00229	−	3.85744i	0.292882	−	0.188224i
$421$	9.44490	+	20.6814i	0.460316	+	1.00795i	0.987415	+	0.158148i	$0.0505523\pi$
$421$	9.44490	+	20.6814i	0.460316	+	1.00795i	−0.527099	+	0.849804i	$0.676720\pi$
$422$	17.5221	+	20.2215i	0.852961	+	0.984369i
$423$	0.936741	+	6.51518i	0.0455459	+	0.316779i
$424$	1.01663	−	2.22611i	0.0493718	−	0.108109i
$425$	18.7400	−	5.50257i	0.909024	−	0.266914i
$426$	−4.91500	+	1.44317i	−0.238132	+	0.0699220i
$427$	0.942612	−	2.06403i	0.0456162	−	0.0998855i
$428$	−3.66996	−	25.5251i	−0.177394	−	1.23380i
$429$	−2.10811	−	2.43289i	−0.101781	−	0.117461i
$430$	−16.7966	−	36.7795i	−0.810005	−	1.77366i
$431$	−20.5909	+	13.2330i	−0.991829	+	0.637410i	−0.932629	−	0.360836i	$-0.882491\pi$
$431$	−20.5909	+	13.2330i	−0.991829	+	0.637410i	−0.0592000	+	0.998246i	$0.518855\pi$
$432$	−0.619928	+	4.31170i	−0.0298263	+	0.207447i
$433$	6.21648	+	3.99509i	0.298745	+	0.191992i	0.681423	−	0.731890i	$-0.261362\pi$
$433$	6.21648	+	3.99509i	0.298745	+	0.191992i	−0.382678	+	0.923882i	$0.624998\pi$
$434$	3.09627	−	3.57328i	0.148626	−	0.171523i
$435$	−3.82324	−	1.12260i	−0.183310	−	0.0538248i
$436$	23.5959			1.13004
$437$	−2.48317	+	30.8156i	−0.118786	+	1.47411i
$438$	−0.0213573			−0.00102049
$439$	−6.80107	−	1.99697i	−0.324597	−	0.0953103i	0.115374	−	0.993322i	$-0.463193\pi$
$439$	−6.80107	−	1.99697i	−0.324597	−	0.0953103i	−0.439971	+	0.898012i	$0.645011\pi$
$440$	1.08282	−	1.24964i	0.0516213	−	0.0595742i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	−1.50801	+	10.4884i	−0.0717286	+	0.498883i
$443$	2.59429	−	1.66725i	0.123259	−	0.0792135i	−0.477559	−	0.878600i	$-0.658478\pi$
$443$	2.59429	−	1.66725i	0.123259	−	0.0792135i	0.600817	+	0.799386i	$0.294842\pi$
$444$	3.22398	+	7.05953i	0.153003	+	0.335031i
$445$	−38.0966	−	43.9658i	−1.80595	−	2.08418i
$446$	−3.28151	−	22.8234i	−0.155384	−	1.08072i
$447$	2.77505	−	6.07650i	0.131255	−	0.287409i
$448$	−6.09227	+	1.78885i	−0.287833	+	0.0845153i
$449$	12.7182	−	3.73440i	0.600210	−	0.176237i	0.0325075	−	0.999471i	$-0.489651\pi$
$449$	12.7182	−	3.73440i	0.600210	−	0.176237i	0.567702	+	0.823234i	$0.307833\pi$
$450$	8.64253	−	18.9245i	0.407413	−	0.892109i
$451$	−1.49428	−	10.3929i	−0.0703628	−	0.489384i
$452$	16.0641	+	18.5390i	0.755594	+	0.872002i
$453$	0.187893	+	0.411428i	0.00882797	+	0.0193306i
$454$	23.3993	−	15.0378i	1.09818	−	0.705759i
$455$	−1.67220	+	11.6304i	−0.0783940	+	0.545242i
$456$	−2.08880	−	1.34239i	−0.0978170	−	0.0628632i
$457$	−1.82818	+	2.10983i	−0.0855185	+	0.0986936i	−0.796896	−	0.604116i	$-0.793526\pi$
$457$	−1.82818	+	2.10983i	−0.0855185	+	0.0986936i	0.711378	+	0.702810i	$0.248072\pi$
$458$	−12.9841	−	3.81248i	−0.606707	−	0.178145i
$459$	1.83064			0.0854469
$460$	33.3691	+	7.57444i	1.55584	+	0.353160i
$461$	−28.4268			−1.32397			−0.661985	−	0.749517i	$-0.730286\pi$
$461$	−28.4268			−1.32397			−0.661985	+	0.749517i	$0.730286\pi$
$462$	−2.02910	−	0.595797i	−0.0944022	−	0.0277190i
$463$	−2.61040	+	3.01256i	−0.121316	+	0.140006i	−0.813158	−	0.582043i	$-0.802254\pi$
$463$	−2.61040	+	3.01256i	−0.121316	+	0.140006i	0.691843	+	0.722048i	$0.256799\pi$
$464$	3.68881	+	2.37066i	0.171249	+	0.110055i
$465$	1.36593	−	9.50023i	0.0633434	−	0.440563i
$466$	37.7658	−	24.2706i	1.74947	−	1.12431i
$467$	8.72850	+	19.1127i	0.403907	+	0.884432i	0.996859	+	0.0791949i	$0.0252350\pi$
$467$	8.72850	+	19.1127i	0.403907	+	0.884432i	−0.592952	+	0.805238i	$0.702038\pi$
$468$	3.50377	+	4.04356i	0.161962	+	0.186914i
$469$	−0.598203	−	4.16060i	−0.0276225	−	0.192118i
$470$	−21.1060	+	46.2157i	−0.973547	+	2.13177i
$471$	−8.03970	+	2.36067i	−0.370450	+	0.108774i
$472$	−5.27314	+	1.54833i	−0.242716	+	0.0712678i
$473$	−2.35991	+	5.16749i	−0.108509	+	0.237601i
$474$	−2.91868	−	20.2999i	−0.134059	−	0.932404i
$475$	45.0388	+	51.9775i	2.06652	+	2.38489i
$476$	1.37074	+	3.00149i	0.0628276	+	0.137573i
$477$	−5.34502	+	3.43504i	−0.244732	+	0.157280i
$478$	−0.528158	+	3.67342i	−0.0241574	+	0.168018i
$479$	13.2816	+	8.53559i	0.606854	+	0.390001i	0.807676	−	0.589626i	$-0.200725\pi$
$479$	13.2816	+	8.53559i	0.606854	+	0.390001i	−0.200822	+	0.979628i	$0.564361\pi$
$480$	−20.0219	+	23.1066i	−0.913873	+	1.05467i
$481$	−12.2631	−	3.60077i	−0.559149	−	0.164181i
$482$	17.5091			0.797518
$483$	0.977173	+	4.69522i	0.0444629	+	0.213640i
$484$	−17.7073			−0.804876
$485$	−37.8417	−	11.1113i	−1.71830	−	0.504540i
$486$	1.27697	−	1.47371i	0.0579247	−	0.0668487i
$487$	−24.3082	−	15.6219i	−1.10151	−	0.707896i	−0.142082	−	0.989855i	$-0.545380\pi$
$487$	−24.3082	−	15.6219i	−1.10151	−	0.707896i	−0.959427	+	0.281959i	$0.909016\pi$
$488$	−0.124382	+	0.865097i	−0.00563052	+	0.0391611i
$489$	4.27858	−	2.74967i	0.193484	−	0.124345i
$490$	3.20654	+	7.02134i	0.144857	+	0.317192i
$491$	−9.69765	−	11.1917i	−0.437649	−	0.505074i	0.493484	−	0.869755i	$-0.335723\pi$
$491$	−9.69765	−	11.1917i	−0.437649	−	0.505074i	−0.931132	+	0.364682i	$0.881178\pi$
$492$	2.48355	+	17.2735i	0.111967	+	0.778747i
$493$	0.765515	−	1.67624i	0.0344770	−	0.0754942i
$494$	−35.8018	+	10.5123i	−1.61080	+	0.472973i
$495$	−4.11899	+	1.20945i	−0.185135	+	0.0543605i
$496$	−4.38763	+	9.60757i	−0.197010	+	0.431392i
$497$	−0.373851	−	2.60019i	−0.0167695	−	0.116635i
$498$	20.1920	+	23.3028i	0.904825	+	1.04422i
$499$	−0.449434	−	0.984124i	−0.0201194	−	0.0440554i	0.899306	−	0.437321i	$-0.144073\pi$
$499$	−0.449434	−	0.984124i	−0.0201194	−	0.0440554i	−0.919425	+	0.393265i	$0.871345\pi$
$500$	34.0272	−	21.8680i	1.52174	−	0.977966i
$501$	−2.52509	+	17.5624i	−0.112813	+	0.784629i
$502$	−46.5257	−	29.9002i	−2.07654	−	1.33451i
$503$	−14.7433	+	17.0146i	−0.657369	+	0.758645i	−0.982345	−	0.187078i	$-0.940098\pi$
$503$	−14.7433	+	17.0146i	−0.657369	+	0.758645i	0.324976	+	0.945722i	$0.394644\pi$
$504$	−0.369572	−	0.108516i	−0.0164620	−	0.00483369i
$505$	−29.0875			−1.29438
$506$	−4.78018	−	8.94487i	−0.212505	−	0.397648i
$507$	4.18882			0.186032
$508$	10.7150	+	3.14622i	0.475402	+	0.139591i
$509$	22.2146	−	25.6370i	0.984643	−	1.13634i	−0.00601682	−	0.999982i	$-0.501915\pi$
$509$	22.2146	−	25.6370i	0.984643	−	1.13634i	0.990660	−	0.136357i	$-0.0435393\pi$
$510$	11.8873	+	7.63952i	0.526379	+	0.338284i
$511$	0.00155870	−	0.0108410i	6.89529e−5	−	0.000479578i
$512$	25.4815	−	16.3759i	1.12613	−	0.723721i
$513$	2.67790	+	5.86379i	0.118232	+	0.258893i
$514$	−24.6834	−	28.4862i	−1.08874	−	1.25647i
$515$	7.65725	+	53.2573i	0.337419	+	2.34680i
$516$	3.92226	−	8.58856i	0.172668	−	0.378090i
$517$	6.84919	−	2.01110i	0.301227	−	0.0884482i
$518$	−8.05594	+	2.36544i	−0.353958	+	0.103931i
$519$	5.63618	−	12.3415i	0.247401	−	0.541732i
$520$	−0.644089	−	4.47974i	−0.0282452	−	0.196449i
$521$	−18.8810	−	21.7899i	−0.827193	−	0.954632i	0.172344	−	0.985037i	$-0.444866\pi$
$521$	−18.8810	−	21.7899i	−0.827193	−	0.954632i	−0.999538	+	0.0304047i	$0.990320\pi$
$522$	−0.815425	−	1.78553i	−0.0356902	−	0.0781506i
$523$	−20.2028	+	12.9835i	−0.883406	+	0.567731i	−0.901826	−	0.432100i	$-0.857773\pi$
$523$	−20.2028	+	12.9835i	−0.883406	+	0.567731i	0.0184198	+	0.999830i	$0.494136\pi$
$524$	5.00142	−	34.7856i	0.218488	−	1.51962i
$525$	8.97537	+	5.76812i	0.391717	+	0.251741i
$526$	−20.3457	+	23.4801i	−0.887113	+	1.02378i
$527$	4.25893	+	1.25054i	0.185522	+	0.0544742i
$528$	4.72410			0.205590
$529$	−12.7813	+	19.1217i	−0.555708	+	0.831377i
$530$	−49.0430			−2.13029
$531$	13.6903	+	4.01982i	0.594107	+	0.174445i
$532$	−7.60905	+	8.78131i	−0.329894	+	0.380718i
$533$	−24.1767	−	15.5374i	−1.04721	−	0.673001i
$534$	4.07849	−	28.3665i	0.176493	−	1.22754i
$535$	47.6420	−	30.6176i	2.05974	−	1.32372i
$536$	0.672571	+	1.47273i	0.0290506	+	0.0636120i
$537$	15.0318	+	17.3477i	0.648672	+	0.748607i
$538$	−3.28190	−	22.8261i	−0.141493	−	0.984105i
$539$	0.450516	−	0.986492i	0.0194051	−	0.0424912i
$540$	6.84592	−	2.01014i	0.294602	−	0.0865028i
$541$	26.1873	−	7.68927i	1.12588	−	0.330588i	0.334792	−	0.942292i	$-0.391334\pi$
$541$	26.1873	−	7.68927i	1.12588	−	0.330588i	0.791086	+	0.611704i	$0.209516\pi$
$542$	10.0924	−	22.0994i	0.433508	−	0.949249i
$543$	−1.78970	−	12.4476i	−0.0768033	−	0.534179i
$544$	−9.25951	−	10.6860i	−0.396998	−	0.458160i
$545$	21.5264	+	47.1362i	0.922088	+	2.01909i
$546$	−4.86942	+	3.12939i	−0.208392	+	0.133925i
$547$	0.975931	−	6.78775i	0.0417278	−	0.290223i	−0.958263	−	0.285889i	$-0.907711\pi$
$547$	0.975931	−	6.78775i	0.0417278	−	0.290223i	0.999991	−	0.00433445i	$-0.00137970\pi$
$548$	−14.9683	−	9.61953i	−0.639413	−	0.410926i
$549$	1.48593	−	1.71486i	0.0634181	−	0.0731884i
$550$	−21.6485	−	6.35658i	−0.923096	−	0.271046i
$551$	6.48905			0.276443
$552$	−0.870643	−	1.62918i	−0.0370570	−	0.0693427i
$553$	10.5173			0.447240
$554$	40.0031	+	11.7460i	1.69957	+	0.499038i
$555$	−11.1612	+	12.8807i	−0.473767	+	0.546756i
$556$	−8.15704	−	5.24221i	−0.345935	−	0.222319i
$557$	−2.34921	+	16.3391i	−0.0995394	+	0.692312i	0.877550	+	0.479484i	$0.159176\pi$
$557$	−2.34921	+	16.3391i	−0.0995394	+	0.692312i	−0.977090	+	0.212827i	$0.931733\pi$
$558$	3.97756	−	2.55622i	0.168383	−	0.108213i
$559$	6.45929	+	14.1439i	0.273199	+	0.598222i
$560$	−11.2918	−	13.0314i	−0.477164	−	0.550676i
$561$	−0.282541	−	1.96511i	−0.0119289	−	0.0829671i
$562$	−16.5983	+	36.3451i	−0.700155	+	1.53313i
$563$	29.1024	−	8.54522i	1.22652	−	0.360138i	0.396584	−	0.917999i	$-0.370196\pi$
$563$	29.1024	−	8.54522i	1.22652	−	0.360138i	0.829935	+	0.557860i	$0.188378\pi$
$564$	−11.3836	+	3.34253i	−0.479337	+	0.140746i
$565$	−22.3791	+	49.0035i	−0.941497	+	2.06159i
$566$	−8.10767	−	56.3901i	−0.340791	−	2.37025i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	0.420328	+	0.920389i	0.0176366	+	0.0386187i
$569$	−23.9902	+	15.4176i	−1.00572	+	0.646339i	−0.936283	−	0.351247i	$-0.885758\pi$
$569$	−23.9902	+	15.4176i	−1.00572	+	0.646339i	−0.0694402	+	0.997586i	$0.522121\pi$
$570$	−7.08137	+	49.2520i	−0.296606	+	2.06294i
$571$	−17.3594	−	11.1562i	−0.726467	−	0.466872i	0.124414	−	0.992230i	$-0.460295\pi$
$571$	−17.3594	−	11.1562i	−0.726467	−	0.466872i	−0.850881	+	0.525358i	$0.823931\pi$
$572$	3.79982	−	4.38523i	0.158878	−	0.183356i
$573$	6.95272	+	2.04150i	0.290454	+	0.0852849i
$574$	−18.8793			−0.788008
$575$	10.4255	+	50.0935i	0.434773	+	2.08905i
$576$	−6.34947			−0.264561
$577$	−10.6240	−	3.11949i	−0.442283	−	0.129866i	0.0530062	−	0.998594i	$-0.483120\pi$
$577$	−10.6240	−	3.11949i	−0.442283	−	0.129866i	−0.495289	+	0.868728i	$0.664938\pi$
$578$	17.4291	−	20.1143i	0.724956	−	0.836643i
$579$	2.99847	+	1.92700i	0.124612	+	0.0800835i
$580$	1.02214	−	7.10912i	0.0424419	−	0.295190i
$581$	−13.3022	+	8.54882i	−0.551869	+	0.354665i
$582$	−8.07093	−	17.6729i	−0.334551	−	0.732564i
$583$	4.51232	+	5.20749i	0.186881	+	0.215672i
$584$	0.000600372		0.00417568i	2.48436e−5		0.000172791i
$585$	−4.88113	+	10.6882i	−0.201810	+	0.441902i
$586$	−54.7802	+	16.0849i	−2.26295	+	0.664462i
$587$	21.4883	−	6.30952i	0.886916	−	0.260422i	0.193621	−	0.981076i	$-0.437977\pi$
$587$	21.4883	−	6.30952i	0.886916	−	0.260422i	0.693294	+	0.720654i	$0.256159\pi$
$588$	−0.748775	+	1.63959i	−0.0308790	+	0.0676155i
$589$	2.22443	+	15.4713i	0.0916561	+	0.637482i
$590$	72.1229	+	83.2343i	2.96925	+	3.42670i
$591$	−6.51410	−	14.2639i	−0.267954	−	0.586738i
$592$	15.7783	−	10.1401i	0.648483	−	0.416755i
$593$	−1.59861	+	11.1186i	−0.0656471	+	0.456585i	0.930311	+	0.366771i	$0.119537\pi$
$593$	−1.59861	+	11.1186i	−0.0656471	+	0.456585i	−0.995958	+	0.0898148i	$0.971372\pi$
$594$	−1.77905	−	1.14333i	−0.0729953	−	0.0469112i
$595$	−4.74540	+	5.47648i	−0.194542	+	0.224514i
$596$	11.5531	+	3.39230i	0.473234	+	0.138954i
$597$	10.4600			0.428101
$598$	−27.0710	−	6.14484i	−1.10702	−	0.251281i
$599$	−16.8380			−0.687980			−0.343990	−	0.938973i	$-0.611779\pi$
$599$	−16.8380			−0.687980			−0.343990	+	0.938973i	$0.611779\pi$
$600$	−3.94298	−	1.15776i	−0.160971	−	0.0472655i
$601$	−14.8282	+	17.1127i	−0.604856	+	0.698041i	−0.972758	−	0.231824i	$-0.925531\pi$
$601$	−14.8282	+	17.1127i	−0.604856	+	0.698041i	0.367902	+	0.929865i	$0.380076\pi$
$602$	8.59302	+	5.52240i	0.350225	+	0.225076i
$603$	0.598203	−	4.16060i	0.0243607	−	0.169433i
$604$	−0.685841	+	0.440763i	−0.0279065	+	0.0179344i
$605$	−16.1542	−	35.3728i	−0.656762	−	1.43811i
$606$	−9.38355	−	10.8292i	−0.381181	−	0.439906i
$607$	−4.89521	−	34.0469i	−0.198690	−	1.38192i	−0.808090	−	0.589059i	$-0.799499\pi$
$607$	−4.89521	−	34.0469i	−0.198690	−	1.38192i	0.609400	−	0.792863i	$-0.291410\pi$
$608$	20.6838	−	45.2913i	0.838840	−	1.83680i
$609$	0.965852	−	0.283600i	0.0391383	−	0.0114920i
$610$	16.8053	−	4.93449i	0.680428	−	0.199792i
$611$	8.11650	−	17.7727i	0.328358	−	0.719005i
$612$	0.469593	+	3.26609i	0.0189822	+	0.132024i
$613$	24.4102	+	28.1709i	0.985919	+	1.13781i	0.990457	+	0.137821i	$0.0440099\pi$
$613$	24.4102	+	28.1709i	0.985919	+	1.13781i	−0.00453862	+	0.999990i	$0.501445\pi$
$614$	−18.1164	−	39.6694i	−0.731119	−	1.60093i
$615$	−32.2405	+	20.7197i	−1.30006	+	0.835499i
$616$	−0.0594478	+	0.413468i	−0.00239522	+	0.0166591i
$617$	−10.7857	−	6.93153i	−0.434215	−	0.279053i	0.305219	−	0.952282i	$-0.401270\pi$
$617$	−10.7857	−	6.93153i	−0.434215	−	0.279053i	−0.739434	+	0.673229i	$0.764907\pi$
$618$	−17.3573	+	20.0314i	−0.698215	+	0.805783i
$619$	8.75257	+	2.56999i	0.351795	+	0.103296i	0.452856	−	0.891584i	$-0.350405\pi$
$619$	8.75257	+	2.56999i	0.351795	+	0.103296i	−0.101060	+	0.994880i	$0.532223\pi$
$620$	17.3000			0.694785
$621$	−0.385207	+	4.78034i	−0.0154578	+	0.191828i
$622$	44.9558			1.80256
$623$	14.1013	+	4.14050i	0.564955	+	0.165886i
$624$	8.46754	−	9.77207i	0.338973	−	0.391196i
$625$	29.8504	+	19.1837i	1.19402	+	0.767348i
$626$	−2.50895	+	17.4501i	−0.100278	+	0.697447i
$627$	5.88122	−	3.77963i	0.234873	−	0.150944i
$628$	−6.27407	−	13.7383i	−0.250362	−	0.548217i
$629$	−5.16170	−	5.95692i	−0.205811	−	0.237518i
$630$	1.09851	+	7.64031i	0.0437657	+	0.304397i
$631$	−10.1610	+	22.2495i	−0.404503	+	0.885737i	0.592291	+	0.805724i	$0.298223\pi$
$631$	−10.1610	+	22.2495i	−0.404503	+	0.885737i	−0.996794	+	0.0800131i	$0.974504\pi$
$632$	−3.88689	+	1.14129i	−0.154612	+	0.0453983i
$633$	−13.1657	+	3.86581i	−0.523291	+	0.153652i
$634$	7.48934	−	16.3994i	0.297440	−	0.651302i
$635$	3.49023	+	24.2751i	0.138505	+	0.963327i
$636$	−7.49965	−	8.65505i	−0.297380	−	0.343195i
$637$	−1.23310	−	2.70012i	−0.0488573	−	0.106983i
$638$	−1.79084	+	1.15090i	−0.0709000	+	0.0455647i
$639$	0.373851	−	2.60019i	0.0147893	−	0.102862i
$640$	10.2111	+	6.56227i	0.403629	+	0.259396i
$641$	7.39122	−	8.52992i	0.291936	−	0.336912i	−0.590768	−	0.806841i	$-0.701175\pi$
$641$	7.39122	−	8.52992i	0.291936	−	0.336912i	0.882704	+	0.469930i	$0.155721\pi$
$642$	26.7680	+	7.85980i	1.05645	+	0.310202i
$643$	−26.7289			−1.05409			−0.527043	−	0.849838i	$-0.676699\pi$
$643$	−26.7289			−1.05409			−0.527043	+	0.849838i	$0.676699\pi$
$644$	−8.12622	+	2.94781i	−0.320218	+	0.116160i
$645$	20.7351			0.816445
$646$	−22.0795	−	6.48314i	−0.868708	−	0.255076i
$647$	−23.4506	+	27.0634i	−0.921939	+	1.06397i	0.0758243	+	0.997121i	$0.475841\pi$
$647$	−23.4506	+	27.0634i	−0.921939	+	1.06397i	−0.997763	+	0.0668526i	$0.978704\pi$
$648$	−0.324029	−	0.208241i	−0.0127291	−	0.00818048i
$649$	2.20216	−	15.3163i	0.0864422	−	0.601219i
$650$	−51.9520	+	33.3875i	−2.03773	+	1.30957i
$651$	1.00725	+	2.20558i	0.0394773	+	0.0864433i
$652$	6.00331	+	6.92818i	0.235108	+	0.271329i
$653$	−1.12657	−	7.83550i	−0.0440863	−	0.306627i	−0.999919	−	0.0127160i	$-0.995952\pi$
$653$	−1.12657	−	7.83550i	−0.0440863	−	0.306627i	0.955833	−	0.293911i	$-0.0949568\pi$
$654$	−10.6043	+	23.2202i	−0.414661	+	0.907982i
$655$	74.0520	−	21.7436i	2.89345	−	0.849594i
$656$	40.4656	−	11.8818i	1.57992	−	0.463906i
$657$	0.00454983	−	0.00996273i	0.000177506	−	0.000388683i
$658$	−1.82664	−	12.7046i	−0.0712098	−	0.495275i
$659$	−16.7579	−	19.3396i	−0.652794	−	0.753365i	0.328788	−	0.944404i	$-0.393360\pi$
$659$	−16.7579	−	19.3396i	−0.652794	−	0.753365i	−0.981582	+	0.191039i	$0.938814\pi$
$660$	−3.21440	−	7.03856i	−0.125120	−	0.273976i
$661$	−22.4682	+	14.4395i	−0.873913	+	0.561630i	−0.898947	−	0.438057i	$-0.855667\pi$
$661$	−22.4682	+	14.4395i	−0.873913	+	0.561630i	0.0250343	+	0.999687i	$0.492030\pi$
$662$	9.79343	−	68.1148i	0.380632	−	2.64736i
$663$	−4.57137	−	2.93784i	−0.177537	−	0.114096i
$664$	3.98844	−	4.60291i	0.154782	−	0.178628i
$665$	−24.4836	−	7.18904i	−0.949434	−	0.278779i
$666$	−8.39604			−0.325340
$667$	4.21608	+	2.35170i	0.163247	+	0.0910583i
$668$	−31.9813			−1.23739
$669$	11.3457	+	3.33141i	0.438652	+	0.128800i
$670$	21.2472	−	24.5206i	0.820852	−	0.947313i
$671$	−2.07017	−	1.33042i	−0.0799180	−	0.0513601i
$672$	1.09922	−	7.64527i	0.0424035	−	0.294923i
$673$	−10.9456	+	7.03432i	−0.421922	+	0.271153i	−0.734327	−	0.678796i	$-0.762502\pi$
$673$	−10.9456	+	7.03432i	−0.421922	+	0.271153i	0.312404	+	0.949949i	$0.398866\pi$
$674$	22.7667	+	49.8520i	0.876939	+	1.92023i
$675$	6.98674	+	8.06312i	0.268920	+	0.310350i
$676$	1.07451	+	7.47338i	0.0413273	+	0.287438i
$677$	−1.85412	+	4.05995i	−0.0712596	+	0.156037i	−0.941910	−	0.335866i	$-0.890971\pi$
$677$	−1.85412	+	4.05995i	−0.0712596	+	0.156037i	0.870650	+	0.491903i	$0.163698\pi$
$678$	−25.4633	+	7.47670i	−0.977912	+	0.287141i
$679$	9.55982	−	2.80702i	0.366872	−	0.107723i
$680$	1.15948	−	2.53891i	0.0444640	−	0.0973627i
$681$	2.02998	+	14.1188i	0.0777891	+	0.541035i
$682$	−3.35789	−	3.87521i	−0.128580	−	0.148389i
$683$	−16.9189	−	37.0472i	−0.647383	−	1.41757i	−0.893826	−	0.448414i	$-0.851989\pi$
$683$	−16.9189	−	37.0472i	−0.647383	−	1.41757i	0.246442	−	0.969157i	$-0.420738\pi$
$684$	−9.77481	+	6.28189i	−0.373749	+	0.240194i
$685$	5.56093	−	38.6771i	0.212472	−	1.47778i
$686$	−1.64044	−	1.05425i	−0.0626322	−	0.0402513i
$687$	4.54450	−	5.24463i	0.173383	−	0.200095i
$688$	−21.8937	−	6.42857i	−0.834689	−	0.245087i
$689$	18.8599			0.718506
$690$	−22.4504	+	29.4338i	−0.854671	+	1.12052i
$691$	−17.7842			−0.676542			−0.338271	−	0.941049i	$-0.609842\pi$
$691$	−17.7842			−0.676542			−0.338271	+	0.941049i	$0.609842\pi$
$692$	23.4646	+	6.88983i	0.891990	+	0.261912i
$693$	0.710194	−	0.819607i	0.0269780	−	0.0311343i
$694$	21.3933	+	13.7487i	0.812080	+	0.521892i
$695$	3.03046	−	21.0773i	0.114952	−	0.799507i
$696$	−0.326177	+	0.209621i	−0.0123637	+	0.00794566i
$697$	−7.36272	−	16.1221i	−0.278883	−	0.610668i
$698$	26.9371	+	31.0870i	1.01958	+	1.17666i
$699$	3.27634	+	22.7874i	0.123922	+	0.861899i
$700$	−7.98871	+	17.4928i	−0.301945	+	0.661167i
$701$	−1.92556	+	0.565394i	−0.0727272	+	0.0213546i	−0.317894	−	0.948126i	$-0.602976\pi$
$701$	−1.92556	+	0.565394i	−0.0727272	+	0.0213546i	0.245167	+	0.969481i	$0.421157\pi$
$702$	−5.55382	+	1.63075i	−0.209616	+	0.0615487i
$703$	11.5302	−	25.2476i	0.434869	−	0.952230i
$704$	0.979976	+	6.81588i	0.0369342	+	0.256883i
$705$	−17.0624	−	19.6910i	−0.642606	−	0.741607i
$706$	−19.2499	−	42.1515i	−0.724481	−	1.58639i
$707$	6.18176	−	3.97278i	0.232489	−	0.149412i
$708$	−3.66007	+	25.4563i	−0.137554	+	0.956708i
$709$	−13.4962	−	8.67345i	−0.506859	−	0.325738i	0.262096	−	0.965042i	$-0.415586\pi$
$709$	−13.4962	−	8.67345i	−0.506859	−	0.325738i	−0.768954	+	0.639304i	$0.779223\pi$
$710$	13.2786	−	15.3243i	0.498336	−	0.575111i
$711$	10.0913	+	2.96306i	0.378452	+	0.111123i
$712$	−5.66074			−0.212145
$713$	−4.16169	+	10.8582i	−0.155856	+	0.406642i
$714$	−3.56973			−0.133594
$715$	12.2267	+	3.59007i	0.457251	+	0.134261i
$716$	−27.0945	+	31.2687i	−1.01257	+	1.16857i
$717$	−1.60106	−	1.02894i	−0.0597926	−	0.0384264i
$718$	−1.14210	+	7.94351i	−0.0426229	+	0.296449i
$719$	−16.6741	+	10.7158i	−0.621838	+	0.399631i	−0.813280	−	0.581873i	$-0.802320\pi$
$719$	−16.6741	+	10.7158i	−0.621838	+	0.399631i	0.191441	+	0.981504i	$0.438684\pi$
$720$	−7.16300	−	15.6848i	−0.266949	−	0.584537i
$721$	−8.90123	−	10.2726i	−0.331499	−	0.382571i
$722$	−6.25935	−	43.5347i	−0.232949	−	1.62019i
$723$	−3.73003	+	8.16764i	−0.138721	+	0.303758i
$724$	21.7491	−	6.38610i	0.808297	−	0.237338i
$725$	10.3047	−	3.02574i	0.382707	−	0.112373i
$726$	7.95789	−	17.4253i	0.295345	−	0.646715i
$727$	−4.26057	−	29.6329i	−0.158016	−	1.09902i	−0.902284	−	0.431142i	$-0.858111\pi$
$727$	−4.26057	−	29.6329i	−0.158016	−	1.09902i	0.744268	−	0.667881i	$-0.232798\pi$
$728$	0.748727	+	0.864077i	0.0277497	+	0.0320248i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	0.0711204	−	0.0457063i	0.00263228	−	0.00169167i
$731$	−1.36470	+	9.49173i	−0.0504754	+	0.351064i
$732$	3.44070	+	2.21120i	0.127172	+	0.0817284i
$733$	−16.4476	+	18.9815i	−0.607504	+	0.701097i	−0.973284	−	0.229604i	$-0.926257\pi$
$733$	−16.4476	+	18.9815i	−0.607504	+	0.701097i	0.365780	+	0.930701i	$0.380802\pi$
$734$	−28.9606	−	8.50359i	−1.06895	−	0.313873i
$735$	−3.95841			−0.146008
$736$	29.8528	−	21.9307i	1.10039	−	0.808377i
$737$	−4.55855			−0.167916
$738$	−18.1146	−	5.31892i	−0.666807	−	0.195792i
$739$	12.9297	−	14.9217i	0.475628	−	0.548904i	−0.466341	−	0.884605i	$-0.654428\pi$
$739$	12.9297	−	14.9217i	0.475628	−	0.548904i	0.941968	+	0.335701i	$0.108973\pi$
$740$	−25.8439	−	16.6089i	−0.950042	−	0.610555i
$741$	2.72320	−	18.9403i	0.100039	−	0.695789i
$742$	10.4228	−	6.69830i	0.382632	−	0.245902i
$743$	9.12461	+	19.9801i	0.334749	+	0.732999i	0.999906	−	0.0137048i	$-0.00436252\pi$
$743$	9.12461	+	19.9801i	0.334749	+	0.732999i	−0.665157	+	0.746704i	$0.731635\pi$
$744$	−0.611593	−	0.705816i	−0.0224221	−	0.0258765i
$745$	3.76322	+	26.1738i	0.137874	+	0.958932i
$746$	−28.5182	+	62.4461i	−1.04413	+	2.28632i
$747$	−15.1719	+	4.45486i	−0.555110	+	0.162995i
$748$	3.43354	−	1.00818i	0.125542	−	0.0368626i
$749$	−5.94325	+	13.0139i	−0.217162	+	0.475517i
$750$	6.22751	+	43.3133i	0.227396	+	1.58158i
$751$	29.3791	+	33.9053i	1.07206	+	1.23722i	0.970169	+	0.242428i	$0.0779438\pi$
$751$	29.3791	+	33.9053i	1.07206	+	1.23722i	0.101891	+	0.994796i	$0.467511\pi$
$752$	11.9109	+	26.0811i	0.434344	+	0.951081i
$753$	23.8594	−	15.3335i	0.869485	−	0.558784i
$754$	−0.829219	+	5.76734i	−0.0301984	+	0.210034i
$755$	−1.50618	−	0.967961i	−0.0548154	−	0.0352277i
$756$	−1.18037	+	1.36222i	−0.0429296	+	0.0495434i
$757$	13.2752	+	3.89795i	0.482496	+	0.141674i	0.513930	−	0.857832i	$-0.328189\pi$
$757$	13.2752	+	3.89795i	0.482496	+	0.141674i	−0.0314340	+	0.999506i	$0.510007\pi$
$758$	−1.94450			−0.0706274
$759$	5.19094	−	0.324293i	0.188419	−	0.0117711i
$760$	9.82858			0.356520
$761$	11.2514	+	3.30371i	0.407863	+	0.119759i	0.479227	−	0.877691i	$-0.340917\pi$
$761$	11.2514	+	3.30371i	0.407863	+	0.119759i	−0.0713641	+	0.997450i	$0.522735\pi$
$762$	−7.91160	+	9.13048i	−0.286607	+	0.330762i
$763$	−11.0127	−	7.07744i	−0.398687	−	0.256220i
$764$	−1.85880	+	12.9282i	−0.0672489	+	0.467726i
$765$	−6.09608	+	3.91771i	−0.220404	+	0.141645i
$766$	15.4707	+	33.8762i	0.558981	+	1.22400i
$767$	−27.7355	−	32.0085i	−1.00147	−	1.15576i
$768$	2.65820	+	18.4882i	0.0959196	+	0.667136i
$769$	13.7398	−	30.0859i	0.495468	−	1.08492i	−0.482448	−	0.875925i	$-0.660252\pi$
$769$	13.7398	−	30.0859i	0.495468	−	1.08492i	0.977916	−	0.208999i	$-0.0670206\pi$
$770$	8.03201	−	2.35841i	0.289453	−	0.0849912i
$771$	18.5467	−	5.44579i	0.667941	−	0.196125i
$772$	−2.66885	+	5.84397i	−0.0960541	+	0.210329i
$773$	−7.53203	−	52.3864i	−0.270908	−	1.88421i	−0.439076	−	0.898450i	$-0.644694\pi$
$773$	−7.53203	−	52.3864i	−0.270908	−	1.88421i	0.168167	−	0.985758i	$-0.446215\pi$
$774$	6.68910	+	7.71963i	0.240435	+	0.277477i
$775$	10.7464	+	23.5314i	0.386023	+	0.845272i
$776$	−3.22844	+	2.07479i	−0.115894	+	0.0744806i
$777$	0.612762	−	4.26185i	0.0219827	−	0.152893i
$778$	34.4743	+	22.1553i	1.23596	+	0.794304i
$779$	40.8709	−	47.1676i	1.46435	−	1.68995i
$780$	−20.3212	−	5.96684i	−0.727615	−	0.213647i
$781$	−2.84890			−0.101941
$782$	−11.9960	−	12.2141i	−0.428977	−	0.436776i
$783$	1.00663			0.0359739
$784$	4.17959	+	1.22724i	0.149271	+	0.0438299i
$785$	21.7204	−	25.0667i	0.775235	−	0.894669i
$786$	31.9841	+	20.5549i	1.14083	+	0.733170i
$787$	3.09317	−	21.5134i	0.110259	−	0.766872i	−0.857407	−	0.514639i	$-0.827926\pi$
$787$	3.09317	−	21.5134i	0.110259	−	0.766872i	0.967667	−	0.252233i	$-0.0811649\pi$
$788$	23.7776	−	15.2809i	0.847042	−	0.544361i
$789$	−6.61869	−	14.4929i	−0.235632	−	0.515961i
$790$	53.1627	+	61.3530i	1.89144	+	2.18284i
$791$	−1.93682	−	13.4709i	−0.0688655	−	0.478970i
$792$	−0.173527	+	0.379971i	−0.00616602	+	0.0135017i
$793$	−6.46264	+	1.89760i	−0.229495	+	0.0673858i
$794$	−41.4149	+	12.1605i	−1.46976	+	0.431561i
$795$	10.4478	−	22.8776i	0.370546	−	0.811384i
$796$	2.68320	+	18.6620i	0.0951034	+	0.661459i
$797$	9.04564	+	10.4392i	0.320413	+	0.369776i	0.892991	−	0.450074i	$-0.148602\pi$
$797$	9.04564	+	10.4392i	0.320413	+	0.369776i	−0.572579	+	0.819850i	$0.694057\pi$
$798$	−5.22189	−	11.4343i	−0.184853	−	0.404771i
$799$	10.1368	−	6.51450i	0.358613	−	0.230466i
$800$	11.7277	−	81.5677i	0.414636	−	2.88386i
$801$	12.3635	+	7.94556i	0.436844	+	0.280743i
$802$	−25.3963	+	29.3089i	−0.896775	+	1.03493i
$803$	−0.0113968	−	0.00334640i	−0.000402184	−	0.000118092i
$804$	7.57648			0.267202
$805$	−13.3022	−	13.5440i	−0.468840	−	0.477364i
$806$	−14.0348			−0.494355
$807$	11.3471	+	3.33180i	0.399436	+	0.117285i
$808$	−1.85350	+	2.13905i	−0.0652057	+	0.0752514i
$809$	−8.46211	−	5.43827i	−0.297512	−	0.191199i	0.383365	−	0.923597i	$-0.374765\pi$
$809$	−8.46211	−	5.43827i	−0.297512	−	0.191199i	−0.680877	+	0.732397i	$0.738401\pi$
$810$	−1.09851	+	7.64031i	−0.0385978	+	0.268453i
$811$	−13.2691	+	8.52752i	−0.465940	+	0.299442i	−0.752466	−	0.658631i	$-0.771136\pi$
$811$	−13.2691	+	8.52752i	−0.465940	+	0.299442i	0.286526	+	0.958072i	$0.407500\pi$
$812$	0.753737	+	1.65045i	0.0264510	+	0.0579196i
$813$	8.15887	+	9.41584i	0.286144	+	0.330228i
$814$	1.29584	+	9.01279i	0.0454193	+	0.315898i
$815$	−8.36327	+	18.3130i	−0.292952	+	0.641476i
$816$	7.65131	−	2.24663i	0.267850	−	0.0786477i
$817$	−32.3996	+	9.51339i	−1.13352	+	0.332831i
$818$	−21.8728	+	47.8948i	−0.764765	+	1.67460i
$819$	−0.422442	−	2.93815i	−0.0147613	−	0.102667i
$820$	−45.2369	−	52.2061i	−1.57974	−	1.82312i
$821$	20.6114	+	45.1328i	0.719344	+	1.57514i	0.814821	+	0.579712i	$0.196835\pi$
$821$	20.6114	+	45.1328i	0.719344	+	1.57514i	−0.0954770	+	0.995432i	$0.530438\pi$
$822$	16.1933	−	10.4068i	0.564807	−	0.362979i
$823$	4.36941	−	30.3899i	0.152308	−	1.05933i	−0.760030	−	0.649889i	$-0.774816\pi$
$823$	4.36941	−	30.3899i	0.152308	−	1.05933i	0.912338	−	0.409438i	$-0.134275\pi$
$824$	4.40439	+	2.83053i	0.153434	+	0.0986061i
$825$	7.57709	−	8.74443i	0.263800	−	0.304442i
$826$	−26.6959	−	7.83863i	−0.928870	−	0.272741i
$827$	−11.3202			−0.393641			−0.196820	−	0.980440i	$-0.563062\pi$
$827$	−11.3202			−0.393641			−0.196820	+	0.980440i	$0.563062\pi$
$828$	−8.62754	+	0.538987i	−0.299828	+	0.0187311i
$829$	−11.3269			−0.393398			−0.196699	−	0.980464i	$-0.563022\pi$
$829$	−11.3269			−0.393398			−0.196699	+	0.980464i	$0.563022\pi$
$830$	−117.110	−	34.3866i	−4.06494	−	1.19357i
$831$	−14.0013	+	16.1583i	−0.485699	+	0.560526i
$832$	15.8555	+	10.1897i	0.549692	+	0.353266i
$833$	0.260527	−	1.81201i	0.00902673	−	0.0627823i
$834$	8.82463	−	5.67125i	0.305572	−	0.196379i
$835$	−29.1763	−	63.8871i	−1.00969	−	2.21091i
$836$	8.25198	+	9.52330i	0.285401	+	0.329370i
$837$	0.345069	+	2.40001i	0.0119273	+	0.0829565i
$838$	−6.75765	+	14.7972i	−0.233439	+	0.511160i
$839$	−24.5177	+	7.19906i	−0.846446	+	0.248539i	−0.676068	−	0.736840i	$-0.736317\pi$
$839$	−24.5177	+	7.19906i	−0.846446	+	0.248539i	−0.170379	+	0.985379i	$0.554499\pi$
$840$	1.46292	−	0.429552i	0.0504755	−	0.0148209i
$841$	−11.6261	+	25.4576i	−0.400900	+	0.877848i
$842$	−6.30955	−	43.8839i	−0.217441	−	1.51234i
$843$	−13.4183	−	15.4855i	−0.462149	−	0.533349i
$844$	−10.2744	−	22.4977i	−0.353658	−	0.774403i
$845$	−13.9489	+	8.96440i	−0.479856	+	0.308385i
$846$	1.82664	−	12.7046i	0.0628011	−	0.436792i
$847$	8.26436	+	5.31118i	0.283967	+	0.182494i
$848$	−18.1244	+	20.9167i	−0.622394	+	0.718281i
$849$	28.0320	+	8.23094i	0.962056	+	0.282485i
$850$	−38.0856			−1.30633
$851$	16.6414	−	12.2253i	0.570460	−	0.419076i
$852$	4.73497			0.162217
$853$	−16.4415	−	4.82765i	−0.562945	−	0.165296i	−0.0121353	−	0.999926i	$-0.503863\pi$
$853$	−16.4415	−	4.82765i	−0.562945	−	0.165296i	−0.550810	+	0.834631i	$0.685681\pi$
$854$	−2.89756	+	3.34397i	−0.0991525	+	0.114428i
$855$	−21.4665	−	13.7957i	−0.734138	−	0.471802i
$856$	0.784240	−	5.45451i	0.0268048	−	0.186431i
$857$	45.5299	−	29.2603i	1.55527	−	0.999513i	0.571394	−	0.820676i	$-0.306403\pi$
$857$	45.5299	−	29.2603i	1.55527	−	0.999513i	0.983879	−	0.178837i	$-0.0572334\pi$
$858$	2.60772	+	5.71010i	0.0890260	+	0.194940i
$859$	−25.0193	−	28.8738i	−0.853648	−	0.985162i	0.146344	−	0.989234i	$-0.453249\pi$
$859$	−25.0193	−	28.8738i	−0.853648	−	0.985162i	−0.999992	+	0.00407140i	$0.998704\pi$
$860$	5.31895	+	36.9941i	0.181375	+	1.26149i
$861$	4.02194	−	8.80682i	0.137067	−	0.300136i
$862$	45.7956	−	13.4468i	1.55980	−	0.458000i
$863$	−23.4172	+	6.87592i	−0.797132	+	0.234059i	−0.654842	−	0.755766i	$-0.727265\pi$
$863$	−23.4172	+	6.87592i	−0.797132	+	0.234059i	−0.142290	+	0.989825i	$0.545447\pi$
$864$	3.20862	−	7.02590i	0.109159	−	0.239026i
$865$	7.64317	+	53.1594i	0.259876	+	1.80748i
$866$	−9.43626	−	10.8900i	−0.320657	−	0.370058i
$867$	5.66990	+	12.4153i	0.192560	+	0.421647i
$868$	−3.67665	+	2.36284i	−0.124794	+	0.0802000i
$869$	1.62324	−	11.2899i	0.0550645	−	0.382982i
$870$	6.53657	+	4.20080i	0.221610	+	0.142420i
$871$	−8.17080	+	9.42961i	−0.276857	+	0.319510i
$872$	4.83800	+	1.42057i	0.163836	+	0.0481064i
$873$	9.96341			0.337210
$874$	21.5754	−	56.2920i	0.729799	−	1.90410i
$875$	−22.4404			−0.758625
$876$	0.0189419	+	0.00556184i	0.000639988	+	0.000187917i
$877$	−26.7426	+	30.8626i	−0.903032	+	1.04215i	0.0958740	+	0.995393i	$0.469435\pi$
$877$	−26.7426	+	30.8626i	−0.903032	+	1.04215i	−0.998906	+	0.0467611i	$0.985110\pi$
$878$	11.6277	+	7.47269i	0.392417	+	0.252191i
$879$	4.16676	−	28.9805i	0.140541	−	0.977487i
$880$	−15.7314	+	10.1100i	−0.530306	+	0.340807i
$881$	−0.534123	−	1.16957i	−0.0179951	−	0.0394037i	0.900421	−	0.435019i	$-0.143258\pi$
$881$	−0.534123	−	1.16957i	−0.0179951	−	0.0394037i	−0.918416	+	0.395616i	$0.870531\pi$
$882$	−1.27697	−	1.47371i	−0.0429980	−	0.0496223i
$883$	5.85865	+	40.7478i	0.197159	+	1.37127i	0.812477	+	0.582994i	$0.198119\pi$
$883$	5.85865	+	40.7478i	0.197159	+	1.37127i	−0.615317	+	0.788280i	$0.710972\pi$
$884$	4.06884	−	8.90953i	0.136850	−	0.299660i
$885$	−54.1917	+	15.9121i	−1.82163	+	0.534880i
$886$	−5.76988	+	1.69419i	−0.193843	+	0.0569175i
$887$	6.97657	−	15.2766i	0.234250	−	0.512937i	−0.755603	−	0.655030i	$-0.772656\pi$
$887$	6.97657	−	15.2766i	0.234250	−	0.512937i	0.989853	+	0.142093i	$0.0453833\pi$
$888$	0.236020	+	1.64156i	0.00792031	+	0.0550870i
$889$	−4.05725	−	4.68231i	−0.136076	−	0.157040i
$890$	47.1251	+	103.190i	1.57964	+	3.45892i
$891$	0.912336	−	0.586323i	0.0305644	−	0.0196426i
$892$	−3.03326	+	21.0968i	−0.101561	+	0.706374i
$893$	35.6951	+	22.9399i	1.19449	+	0.767653i
$894$	−8.53041	+	9.84462i	−0.285300	+	0.329253i
$895$	−87.1819	−	25.5989i	−2.91417	−	0.855677i
$896$	−3.06637			−0.102440
$897$	8.63349	−	11.3190i	0.288264	−	0.377931i
$898$	−25.8474			−0.862540
$899$	2.34189	+	0.687641i	0.0781064	+	0.0229341i
$900$	−12.5934	+	14.5336i	−0.419780	+	0.484452i
$901$	9.78481	+	6.28832i	0.325979	+	0.209494i
$902$	−2.91383	+	20.2661i	−0.0970200	+	0.674789i
$903$	−4.40669	+	2.83201i	−0.146645	+	0.0942433i
$904$	2.17761	+	4.76829i	0.0724261	+	0.158591i
$905$	32.5987	+	37.6209i	1.08362	+	1.25056i
$906$	−0.125519	−	0.873007i	−0.00417010	−	0.0290037i
$907$	−3.26076	+	7.14007i	−0.108272	+	0.237082i	−0.956011	−	0.293331i	$-0.905236\pi$
$907$	−3.26076	+	7.14007i	−0.108272	+	0.237082i	0.847739	+	0.530414i	$0.177963\pi$
$908$	−24.6691	+	7.24349i	−0.818672	+	0.240384i
$909$	7.05062	−	2.07025i	0.233854	−	0.0686658i
$910$	9.51817	−	20.8419i	0.315524	−	0.690902i
$911$	4.46225	+	31.0356i	0.147841	+	1.02826i	0.919745	+	0.392517i	$0.128396\pi$
$911$	4.46225	+	31.0356i	0.147841	+	1.02826i	−0.771904	+	0.635739i	$0.780695\pi$
$912$	18.3888	+	21.2218i	0.608913	+	0.702723i
$913$	7.12373	+	15.5988i	0.235761	+	0.516245i
$914$	4.57962	−	2.94314i	0.151480	−	0.0973504i
$915$	−1.27827	+	8.89055i	−0.0422583	+	0.293913i
$916$	10.5228	+	6.76262i	0.347684	+	0.223443i
$917$	−12.7680	+	14.7351i	−0.421636	+	0.486594i
$918$	−3.42513	−	1.00571i	−0.113046	−	0.0331934i
$919$	−18.7848			−0.619655			−0.309827	−	0.950793i	$-0.600271\pi$
$919$	−18.7848			−0.619655			−0.309827	+	0.950793i	$0.600271\pi$
$920$	6.38585	+	3.56199i	0.210535	+	0.117435i
$921$	22.3644			0.736931
$922$	53.1867	+	15.6170i	1.75161	+	0.514320i
$923$	−5.10640	+	5.89310i	−0.168079	+	0.193974i
$924$	1.64446	+	1.05683i	0.0540988	+	0.0347672i
$925$	6.53758	−	45.4699i	0.214954	−	1.49504i
$926$	6.53910	−	4.20242i	0.214888	−	0.138100i
$927$	−5.64655	−	12.3642i	−0.185457	−	0.406095i
$928$	−5.09159	−	5.87601i	−0.167140	−	0.192890i
$929$	3.98285	+	27.7013i	0.130673	+	0.908851i	0.944679	+	0.327995i	$0.106373\pi$
$929$	3.98285	+	27.7013i	0.130673	+	0.908851i	−0.814006	+	0.580856i	$0.802718\pi$
$930$	−7.77486	+	17.0246i	−0.254948	+	0.558258i
$931$	6.18521	−	1.81614i	0.202712	−	0.0595216i
$932$	−39.8152	+	11.6908i	−1.30419	+	0.382945i
$933$	−9.57711	+	20.9709i	−0.313540	+	0.686558i
$934$	−5.83097	−	40.5553i	−0.190795	−	1.32701i
$935$	5.14637	+	5.93923i	0.168304	+	0.194233i
$936$	0.474960	+	1.04002i	0.0155245	+	0.0339940i
$937$	−44.2222	+	28.4199i	−1.44468	+	0.928437i	−0.445221	+	0.895421i	$0.646875\pi$
$937$	−44.2222	+	28.4199i	−1.44468	+	0.928437i	−0.999455	+	0.0330164i	$0.989489\pi$
$938$	−1.16649	+	8.11313i	−0.0380873	+	0.264903i
$939$	−7.60563	−	4.88784i	−0.248200	−	0.159509i
$940$	30.7545	−	35.4926i	1.00310	−	1.15764i
$941$	−33.9290	−	9.96245i	−1.10605	−	0.324767i	−0.322799	−	0.946468i	$-0.604624\pi$
$941$	−33.9290	−	9.96245i	−1.10605	−	0.324767i	−0.783255	+	0.621701i	$0.786442\pi$
$942$	16.3392			0.532360
$943$	43.6488	−	15.8338i	1.42140	−	0.515619i
$944$	62.1529			2.02290
$945$	−3.79807	−	1.11521i	−0.123551	−	0.0362779i
$946$	7.25430	−	8.37191i	0.235858	−	0.272194i
$947$	10.8360	+	6.96390i	0.352124	+	0.226296i	0.704730	−	0.709476i	$-0.251068\pi$
$947$	10.8360	+	6.96390i	0.352124	+	0.226296i	−0.352606	+	0.935772i	$0.614704\pi$
$948$	−2.69788	+	18.7642i	−0.0876231	+	0.609432i
$949$	−0.0273500	+	0.0175768i	−0.000887818	+	0.000570566i
$950$	−55.7126	−	121.994i	−1.80755	−	3.95799i
$951$	6.05449	+	6.98725i	0.196330	+	0.226577i
$952$	0.100348	+	0.697938i	0.00325231	+	0.0226203i
$953$	5.62449	−	12.3159i	0.182195	−	0.398952i	−0.796393	−	0.604779i	$-0.793261\pi$
$953$	5.62449	−	12.3159i	0.182195	−	0.398952i	0.978588	+	0.205828i	$0.0659886\pi$
$954$	11.8877	−	3.49054i	0.384878	−	0.113011i
$955$	−27.5217	+	8.08111i	−0.890582	+	0.261499i
$956$	1.42505	−	3.12043i	0.0460895	−	0.100922i
$957$	−0.155363	−	1.08057i	−0.00502216	−	0.0349299i
$958$	−20.1608	−	23.2668i	−0.651365	−	0.751715i
$959$	4.10070	+	8.97928i	0.132419	+	0.289956i
$960$	21.1439	−	13.5884i	0.682417	−	0.438563i
$961$	3.57507	−	24.8652i	0.115325	−	0.802103i
$962$	20.9661	+	13.4741i	0.675975	+	0.434423i
$963$	−9.36894	+	10.8123i	−0.301910	+	0.348423i
$964$	−15.5289	−	4.55970i	−0.500153	−	0.146858i
$965$	−14.1090			−0.454183
$966$	0.751151	−	9.32162i	0.0241679	−	0.299918i
$967$	25.0886			0.806796			0.403398	−	0.915025i	$-0.367829\pi$
$967$	25.0886			0.806796			0.403398	+	0.915025i	$0.367829\pi$
$968$	−3.63063	−	1.06605i	−0.116693	−	0.0342641i
$969$	7.72795	−	8.91853i	0.248257	−	0.286504i
$970$	64.6978	+	41.5787i	2.07732	+	1.33501i
$971$	−0.495143	+	3.44380i	−0.0158899	+	0.110517i	−0.996223	−	0.0868345i	$-0.972325\pi$
$971$	−0.495143	+	3.44380i	−0.0158899	+	0.110517i	0.980333	+	0.197351i	$0.0632340\pi$
$972$	−1.51634	+	0.974491i	−0.0486366	+	0.0312568i
$973$	2.23470	+	4.89331i	0.0716411	+	0.156872i
$974$	36.8984	+	42.5830i	1.18230	+	1.36445i
$975$	−4.50705	−	31.3472i	−0.144341	−	1.00392i
$976$	4.10605	−	8.99100i	0.131431	−	0.287795i
$977$	−54.7389	+	16.0728i	−1.75125	+	0.514214i	−0.990818	−	0.135202i	$-0.956832\pi$
$977$	−54.7389	+	16.0728i	−1.75125	+	0.514214i	−0.760434	+	0.649415i	$0.775014\pi$
$978$	−9.51585	+	2.79410i	−0.304283	+	0.0893456i
$979$	6.62104	−	14.4980i	0.211609	−	0.463360i
$980$	−1.01541	−	7.06232i	−0.0324360	−	0.225597i
$981$	−8.57267	−	9.89339i	−0.273704	−	0.315872i
$982$	11.9959	+	26.2674i	0.382805	+	0.838225i
$983$	12.9015	−	8.29126i	0.411493	−	0.264450i	−0.318476	−	0.947931i	$-0.603171\pi$
$983$	12.9015	−	8.29126i	0.411493	−	0.264450i	0.729969	+	0.683481i	$0.239535\pi$
$984$	−0.530714	+	3.69120i	−0.0169186	+	0.117671i
$985$	52.2180	+	33.5585i	1.66380	+	1.06926i
$986$	−2.35317	+	2.71570i	−0.0749402	+	0.0864856i
$987$	6.31555	+	1.85441i	0.201026	+	0.0590266i
$988$	34.4904			1.09729
$989$	−24.4985	−	5.56091i	−0.779008	−	0.176827i
$990$	8.37110			0.266051
$991$	49.6067	+	14.5658i	1.57581	+	0.462699i	0.948685	−	0.316221i	$-0.102414\pi$
$991$	49.6067	+	14.5658i	1.57581	+	0.462699i	0.627123	+	0.778920i	$0.284232\pi$
$992$	12.2643	−	14.1537i	0.389391	−	0.449381i
$993$	29.6878	+	19.0792i	0.942114	+	0.605460i
$994$	−0.729007	+	5.07036i	−0.0231227	+	0.160822i
$995$	−34.8322	+	22.3853i	−1.10426	+	0.709663i
$996$	−11.8399	−	25.9258i	−0.375162	−	0.821490i
$997$	18.7476	+	21.6359i	0.593742	+	0.685215i	0.970501	−	0.241096i	$-0.0775069\pi$
$997$	18.7476	+	21.6359i	0.593742	+	0.685215i	−0.376759	+	0.926311i	$0.622961\pi$
$998$	0.300239	+	2.08821i	0.00950391	+	0.0661011i
$999$	1.78864	−	3.91658i	0.0565901	−	0.123915i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.e.64.1	✓	60
23.9	even	11	inner	483.2.q.e.400.1	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.e.64.1	✓	60	1.1	even	1	trivial
483.2.q.e.400.1	yes	60	23.9	even	11	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.87100 - 0.549377i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.51634 + 0.974491i) q^{4} +(-0.563341 + 3.91812i) q^{5} +(-1.64044 + 1.05425i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.252236 + 0.291095i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(-1.87100 - 0.549377i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.51634 + 0.974491i) q^{4} +(-0.563341 + 3.91812i) q^{5} +(-1.64044 + 1.05425i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.252236 + 0.291095i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(3.20654 - 7.02134i) q^{10} +(-1.04057 + 0.305538i) q^{11} +(1.72946 - 0.507816i) q^{12} +(-1.23310 + 2.70012i) q^{13} +(0.277513 + 1.93015i) q^{14} +(2.59221 + 2.99157i) q^{15} +(-1.80956 - 3.96239i) q^{16} +(-1.54003 + 0.989718i) q^{17} +(-0.277513 + 1.93015i) q^{18} +(-5.42300 - 3.48515i) q^{19} +(-4.67239 + 5.39223i) q^{20} +(-0.959493 - 0.281733i) q^{21} +2.11476 q^{22} +(-2.26039 - 4.22973i) q^{23} +0.385174 q^{24} +(-10.2369 - 3.00582i) q^{25} +(3.79052 - 4.37450i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(0.256519 - 1.78413i) q^{28} +(-0.846829 + 0.544224i) q^{29} +(-3.20654 - 7.02134i) q^{30} +(-1.58783 - 1.83246i) q^{31} +(1.09922 + 7.64527i) q^{32} +(-0.450516 + 0.986492i) q^{33} +(3.42513 - 1.00571i) q^{34} +(3.79807 - 1.11521i) q^{35} +(0.748775 - 1.63959i) q^{36} +(0.612762 + 4.26185i) q^{37} +(8.23179 + 9.50000i) q^{38} +(1.23310 + 2.70012i) q^{39} +(-1.28264 + 0.824304i) q^{40} +(-1.37785 + 9.58319i) q^{41} +(1.64044 + 1.05425i) q^{42} +(3.43032 - 3.95880i) q^{43} +(-1.87559 - 0.550724i) q^{44} +3.95841 q^{45} +(1.90548 + 9.15566i) q^{46} -6.58218 q^{47} +(-4.17959 - 1.22724i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(17.5019 + 11.2478i) q^{50} +(-0.260527 + 1.81201i) q^{51} +(-4.50104 + 2.89264i) q^{52} +(-2.63940 - 5.77948i) q^{53} +(1.27697 + 1.47371i) q^{54} +(-0.610941 - 4.24919i) q^{55} +(0.160007 - 0.350367i) q^{56} +(-6.18521 + 1.81614i) q^{57} +(1.88340 - 0.553017i) q^{58} +(-5.92723 + 12.9788i) q^{59} +(1.01541 + 7.06232i) q^{60} +(1.48593 + 1.71486i) q^{61} +(1.96414 + 4.30086i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(0.903623 - 6.28484i) q^{64} +(-9.88474 - 6.35254i) q^{65} +(1.38487 - 1.59823i) q^{66} +(4.03311 + 1.18423i) q^{67} -3.29968 q^{68} +(-4.67686 - 1.06160i) q^{69} -7.71888 q^{70} +(2.52052 + 0.740092i) q^{71} +(0.252236 - 0.291095i) q^{72} +(0.00921382 + 0.00592136i) q^{73} +(1.19488 - 8.31058i) q^{74} +(-8.97537 + 5.76812i) q^{75} +(-4.82685 - 10.5693i) q^{76} +(0.710194 + 0.819607i) q^{77} +(-0.823760 - 5.72937i) q^{78} +(-4.36904 + 9.56685i) q^{79} +(16.5445 - 4.85791i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(7.84275 - 17.1732i) q^{82} +(-2.25034 - 15.6514i) q^{83} +(-1.18037 - 1.36222i) q^{84} +(-3.01027 - 6.59158i) q^{85} +(-8.59302 + 5.52240i) q^{86} +(-0.143258 + 0.996381i) q^{87} +(-0.351408 - 0.225836i) q^{88} +(-9.62420 + 11.1069i) q^{89} +(-7.40621 - 2.17466i) q^{90} +2.96836 q^{91} +(0.694326 - 8.61643i) q^{92} -2.42469 q^{93} +(12.3153 + 3.61609i) q^{94} +(16.7102 - 19.2846i) q^{95} +(6.49775 + 4.17585i) q^{96} +(-1.41794 + 9.86200i) q^{97} +(1.64044 - 1.05425i) q^{98} +(0.450516 + 0.986492i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20} - 6 q^{21} - 28 q^{22} - 13 q^{23} + 42 q^{24} - 15 q^{25} - 4 q^{26} + 6 q^{27} + 14 q^{28} - 23 q^{29} + 4 q^{30} + 27 q^{31} + 37 q^{32} + q^{33} + 3 q^{34} + 6 q^{35} - 3 q^{36} - 82 q^{37} + 2 q^{38} - 22 q^{39} + 57 q^{40} - 22 q^{41} - q^{42} + 25 q^{43} - 41 q^{44} + 16 q^{45} - 47 q^{46} - 90 q^{47} - 28 q^{48} - 6 q^{49} + 55 q^{50} - 9 q^{51} - 92 q^{52} - 17 q^{53} - 10 q^{54} + 21 q^{55} + 9 q^{56} - 32 q^{57} + 87 q^{58} + 38 q^{59} - 45 q^{60} + 23 q^{61} + q^{62} + 6 q^{63} - 75 q^{64} - 75 q^{65} + 61 q^{66} + 5 q^{67} + 88 q^{68} + 13 q^{69} - 18 q^{70} + 8 q^{71} + 13 q^{72} + 90 q^{73} + 79 q^{74} - 18 q^{75} - 85 q^{76} - 10 q^{77} - 18 q^{78} - 6 q^{79} - 147 q^{80} - 6 q^{81} + 112 q^{82} - 90 q^{83} - 3 q^{84} + 55 q^{85} - 8 q^{86} - 10 q^{87} - 210 q^{88} - 15 q^{89} - 4 q^{90} - 22 q^{91} + 39 q^{92} + 50 q^{93} + 144 q^{94} + 72 q^{95} + 7 q^{96} - 48 q^{97} - q^{98} - q^{99}+O(q^{100}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Introduction

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