LMFDB - Embedded newform 370.2.o.c.71.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			71.4
Character	$\chi$	$=$	370.71
Dual form			370.2.o.c.271.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(2.38109 - 1.99797i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.939693 - 0.342020i) q^{5} -3.10829 q^{6} +(-0.187965 - 0.0684136i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.15675 - 6.56026i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(2.38109 - 1.99797i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.939693 - 0.342020i) q^{5} -3.10829 q^{6} +(-0.187965 - 0.0684136i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.15675 - 6.56026i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-1.84024 + 3.18740i) q^{11} +(2.38109 + 1.99797i) q^{12} +(-0.982887 - 5.57423i) q^{13} +(0.100014 + 0.173229i) q^{14} +(-2.92084 + 1.06310i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.13605 - 6.44286i) q^{17} +(-5.10298 + 4.28191i) q^{18} +(2.02835 - 1.70199i) q^{19} +(0.173648 - 0.984808i) q^{20} +(-0.584249 + 0.212649i) q^{21} +(3.45853 - 1.25880i) q^{22} +(3.60246 + 6.23964i) q^{23} +(-0.539749 - 3.06107i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-2.83011 + 4.90189i) q^{26} +(-5.69045 - 9.85615i) q^{27} +(0.0347345 - 0.196989i) q^{28} +(-2.38058 + 4.12329i) q^{29} +(2.92084 + 1.06310i) q^{30} +1.12710 q^{31} +(0.939693 + 0.342020i) q^{32} +(1.98654 + 11.2662i) q^{33} +(-5.01166 + 4.20528i) q^{34} +(0.153230 + 0.128576i) q^{35} +6.66147 q^{36} +(4.31868 + 4.28357i) q^{37} -2.64782 q^{38} +(-13.4775 - 11.3090i) q^{39} +(-0.766044 + 0.642788i) q^{40} +(1.67801 + 9.51644i) q^{41} +(0.584249 + 0.212649i) q^{42} +6.97797 q^{43} +(-3.45853 - 1.25880i) q^{44} +(-3.33073 + 5.76900i) q^{45} +(1.25112 - 7.09546i) q^{46} +(1.04177 + 1.80439i) q^{47} +(-1.55415 + 2.69186i) q^{48} +(-5.33166 - 4.47379i) q^{49} +(-0.173648 - 0.984808i) q^{50} +(-10.1676 - 17.6108i) q^{51} +(5.31887 - 1.93591i) q^{52} +(-9.42864 + 3.43174i) q^{53} +(-1.97627 + 11.2080i) q^{54} +(2.81942 - 2.36577i) q^{55} +(-0.153230 + 0.128576i) q^{56} +(1.42916 - 8.10516i) q^{57} +(4.47403 - 1.62842i) q^{58} +(11.1493 - 4.05801i) q^{59} +(-1.55415 - 2.69186i) q^{60} +(-0.219298 - 1.24370i) q^{61} +(-0.863405 - 0.724483i) q^{62} +(-0.666240 + 1.15396i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.982887 + 5.57423i) q^{65} +(5.72001 - 9.90735i) q^{66} +(-2.61215 - 0.950747i) q^{67} +6.54225 q^{68} +(21.0444 + 7.65953i) q^{69} +(-0.0347345 - 0.196989i) q^{70} +(-0.503622 + 0.422589i) q^{71} +(-5.10298 - 4.28191i) q^{72} +11.4706 q^{73} +(-0.554875 - 6.05740i) q^{74} +3.10829 q^{75} +(2.02835 + 1.70199i) q^{76} +(0.563962 - 0.473220i) q^{77} +(3.05510 + 17.3263i) q^{78} +(-3.89594 - 1.41801i) q^{79} +1.00000 q^{80} +(-14.4626 - 5.26394i) q^{81} +(4.83162 - 8.36862i) q^{82} +(-1.79923 + 10.2039i) q^{83} +(-0.310872 - 0.538447i) q^{84} +(-3.27113 + 5.66576i) q^{85} +(-5.34543 - 4.48535i) q^{86} +(2.56984 + 14.5743i) q^{87} +(1.84024 + 3.18740i) q^{88} +(-1.50511 + 0.547815i) q^{89} +(6.25973 - 2.27836i) q^{90} +(-0.196605 + 1.11500i) q^{91} +(-5.51928 + 4.63123i) q^{92} +(2.68371 - 2.25190i) q^{93} +(0.361802 - 2.05188i) q^{94} +(-2.48814 + 0.905608i) q^{95} +(2.92084 - 1.06310i) q^{96} +(3.37477 + 5.84527i) q^{97} +(1.20859 + 6.85425i) q^{98} +(18.7815 + 15.7595i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	2.38109	−	1.99797i	1.37472	−	1.15353i	0.403603	−	0.914934i	$-0.367758\pi$
$3$	2.38109	−	1.99797i	1.37472	−	1.15353i	0.971119	−	0.238594i	$-0.0766866\pi$
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.939693	−	0.342020i	−0.420243	−	0.152956i
$5$	−0.939693	−	0.342020i	−0.420243	−	0.152956i
$6$	−3.10829			−1.26895
$7$	−0.187965	−	0.0684136i	−0.0710440	−	0.0258579i	0.306254	−	0.951950i	$-0.400924\pi$
$7$	−0.187965	−	0.0684136i	−0.0710440	−	0.0258579i	−0.377298	+	0.926092i	$0.623147\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	1.15675	−	6.56026i	0.385584	−	2.18675i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	−1.84024	+	3.18740i	−0.554854	+	0.961036i	0.443061	+	0.896492i	$0.353893\pi$
$11$	−1.84024	+	3.18740i	−0.554854	+	0.961036i	−0.997915	+	0.0645442i	$0.979441\pi$
$12$	2.38109	+	1.99797i	0.687361	+	0.576764i
$13$	−0.982887	−	5.57423i	−0.272604	−	1.54601i	−0.746472	−	0.665417i	$-0.768254\pi$
$13$	−0.982887	−	5.57423i	−0.272604	−	1.54601i	0.473868	−	0.880596i	$-0.342857\pi$
$14$	0.100014	+	0.173229i	0.0267299	+	0.0462975i
$15$	−2.92084	+	1.06310i	−0.754157	+	0.274491i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	1.13605	−	6.44286i	0.275533	−	1.56262i	−0.461732	−	0.887020i	$-0.652772\pi$
$17$	1.13605	−	6.44286i	0.275533	−	1.56262i	0.737265	−	0.675604i	$-0.236117\pi$
$18$	−5.10298	+	4.28191i	−1.20278	+	1.00926i
$19$	2.02835	−	1.70199i	0.465335	−	0.390462i	−0.379755	−	0.925087i	$-0.623992\pi$
$19$	2.02835	−	1.70199i	0.465335	−	0.390462i	0.845089	+	0.534625i	$0.179547\pi$
$20$	0.173648	−	0.984808i	0.0388289	−	0.220210i
$21$	−0.584249	+	0.212649i	−0.127494	+	0.0464039i
$22$	3.45853	−	1.25880i	0.737360	−	0.268377i
$23$	3.60246	+	6.23964i	0.751164	+	1.30105i	0.947259	+	0.320470i	$0.103841\pi$
$23$	3.60246	+	6.23964i	0.751164	+	1.30105i	−0.196095	+	0.980585i	$0.562826\pi$
$24$	−0.539749	−	3.06107i	−0.110176	−	0.624838i
$25$	0.766044	+	0.642788i	0.153209	+	0.128558i
$26$	−2.83011	+	4.90189i	−0.555030	+	0.961341i
$27$	−5.69045	−	9.85615i	−1.09513	−	1.89682i
$28$	0.0347345	−	0.196989i	0.00656420	−	0.0372274i
$29$	−2.38058	+	4.12329i	−0.442063	+	0.765676i	−0.997842	−	0.0656538i	$-0.979087\pi$
$29$	−2.38058	+	4.12329i	−0.442063	+	0.765676i	0.555779	+	0.831330i	$0.312420\pi$
$30$	2.92084	+	1.06310i	0.533269	+	0.194094i
$31$	1.12710			0.202432			0.101216	−	0.994864i	$-0.467727\pi$
$31$	1.12710			0.202432			0.101216	+	0.994864i	$0.467727\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	1.98654	+	11.2662i	0.345812	+	1.96120i
$34$	−5.01166	+	4.20528i	−0.859492	+	0.721200i
$35$	0.153230	+	0.128576i	0.0259007	+	0.0217332i
$36$	6.66147			1.11024
$37$	4.31868	+	4.28357i	0.709987	+	0.704215i
$37$	4.31868	+	4.28357i	0.709987	+	0.704215i
$38$	−2.64782			−0.429533
$39$	−13.4775	−	11.3090i	−2.15812	−	1.81088i
$40$	−0.766044	+	0.642788i	−0.121122	+	0.101634i
$41$	1.67801	+	9.51644i	0.262060	+	1.48622i	0.777277	+	0.629158i	$0.216600\pi$
$41$	1.67801	+	9.51644i	0.262060	+	1.48622i	−0.515217	+	0.857060i	$0.672289\pi$
$42$	0.584249	+	0.212649i	0.0901516	+	0.0328125i
$43$	6.97797			1.06413			0.532065	−	0.846703i	$-0.321416\pi$
$43$	6.97797			1.06413			0.532065	+	0.846703i	$0.321416\pi$
$44$	−3.45853	−	1.25880i	−0.521393	−	0.189771i
$45$	−3.33073	+	5.76900i	−0.496516	+	0.859992i
$46$	1.25112	−	7.09546i	0.184468	−	1.04617i
$47$	1.04177	+	1.80439i	0.151957	+	0.263198i	0.931947	−	0.362595i	$-0.118109\pi$
$47$	1.04177	+	1.80439i	0.151957	+	0.263198i	−0.779990	+	0.625792i	$0.784776\pi$
$48$	−1.55415	+	2.69186i	−0.224322	+	0.388536i
$49$	−5.33166	−	4.47379i	−0.761666	−	0.639114i
$50$	−0.173648	−	0.984808i	−0.0245576	−	0.139273i
$51$	−10.1676	−	17.6108i	−1.42375	−	2.46601i
$52$	5.31887	−	1.93591i	0.737594	−	0.268462i
$53$	−9.42864	+	3.43174i	−1.29512	+	0.471386i	−0.895405	−	0.445252i	$-0.853114\pi$
$53$	−9.42864	+	3.43174i	−1.29512	+	0.471386i	−0.399718	+	0.916638i	$0.630892\pi$
$54$	−1.97627	+	11.2080i	−0.268937	+	1.52522i
$55$	2.81942	−	2.36577i	0.380170	−	0.319001i
$56$	−0.153230	+	0.128576i	−0.0204763	+	0.0171816i
$57$	1.42916	−	8.10516i	0.189297	−	1.07355i
$58$	4.47403	−	1.62842i	0.587470	−	0.213821i
$59$	11.1493	−	4.05801i	1.45151	−	0.528308i	0.508500	−	0.861062i	$-0.330200\pi$
$59$	11.1493	−	4.05801i	1.45151	−	0.528308i	0.943013	+	0.332755i	$0.107978\pi$
$60$	−1.55415	−	2.69186i	−0.200639	−	0.347517i
$61$	−0.219298	−	1.24370i	−0.0280783	−	0.159240i	0.967545	−	0.252700i	$-0.0813185\pi$
$61$	−0.219298	−	1.24370i	−0.0280783	−	0.159240i	−0.995623	+	0.0934598i	$0.970207\pi$
$62$	−0.863405	−	0.724483i	−0.109653	−	0.0920095i
$63$	−0.666240	+	1.15396i	−0.0839383	+	0.145385i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−0.982887	+	5.57423i	−0.121912	+	0.691398i
$66$	5.72001	−	9.90735i	0.704085	−	1.21951i
$67$	−2.61215	−	0.950747i	−0.319125	−	0.116152i	0.177491	−	0.984122i	$-0.443202\pi$
$67$	−2.61215	−	0.950747i	−0.319125	−	0.116152i	−0.496616	+	0.867970i	$0.665424\pi$
$68$	6.54225			0.793365
$69$	21.0444	+	7.65953i	2.53345	+	0.922099i
$70$	−0.0347345	−	0.196989i	−0.00415157	−	0.0235447i
$71$	−0.503622	+	0.422589i	−0.0597689	+	0.0501521i	−0.672183	−	0.740385i	$-0.734643\pi$
$71$	−0.503622	+	0.422589i	−0.0597689	+	0.0501521i	0.612414	+	0.790537i	$0.290199\pi$
$72$	−5.10298	−	4.28191i	−0.601392	−	0.504628i
$73$	11.4706			1.34253			0.671267	−	0.741215i	$-0.265750\pi$
$73$	11.4706			1.34253			0.671267	+	0.741215i	$0.265750\pi$
$74$	−0.554875	−	6.05740i	−0.0645029	−	0.704159i
$75$	3.10829			0.358914
$76$	2.02835	+	1.70199i	0.232667	+	0.195231i
$77$	0.563962	−	0.473220i	0.0642695	−	0.0539285i
$78$	3.05510	+	17.3263i	0.345922	+	1.96182i
$79$	−3.89594	−	1.41801i	−0.438328	−	0.159538i	0.113424	−	0.993547i	$-0.463818\pi$
$79$	−3.89594	−	1.41801i	−0.438328	−	0.159538i	−0.551752	+	0.834008i	$0.686040\pi$
$80$	1.00000			0.111803
$81$	−14.4626	−	5.26394i	−1.60695	−	0.584883i
$82$	4.83162	−	8.36862i	0.533564	−	0.924159i
$83$	−1.79923	+	10.2039i	−0.197491	+	1.12003i	0.711335	+	0.702853i	$0.248091\pi$
$83$	−1.79923	+	10.2039i	−0.197491	+	1.12003i	−0.908826	+	0.417175i	$0.863020\pi$
$84$	−0.310872	−	0.538447i	−0.0339190	−	0.0587494i
$85$	−3.27113	+	5.66576i	−0.354804	+	0.614538i
$86$	−5.34543	−	4.48535i	−0.576413	−	0.483668i
$87$	2.56984	+	14.5743i	0.275515	+	1.56252i
$88$	1.84024	+	3.18740i	0.196171	+	0.339777i
$89$	−1.50511	+	0.547815i	−0.159541	+	0.0580683i	−0.420556	−	0.907266i	$-0.638165\pi$
$89$	−1.50511	+	0.547815i	−0.159541	+	0.0580683i	0.261015	+	0.965335i	$0.415943\pi$
$90$	6.25973	−	2.27836i	0.659834	−	0.240160i
$91$	−0.196605	+	1.11500i	−0.0206098	+	0.116884i
$92$	−5.51928	+	4.63123i	−0.575425	+	0.482839i
$93$	2.68371	−	2.25190i	0.278288	−	0.233512i
$94$	0.361802	−	2.05188i	0.0373170	−	0.211635i
$95$	−2.48814	+	0.905608i	−0.255277	+	0.0929134i
$96$	2.92084	−	1.06310i	0.298107	−	0.108502i
$97$	3.37477	+	5.84527i	0.342656	+	0.593497i	0.984925	−	0.172982i	$-0.0553402\pi$
$97$	3.37477	+	5.84527i	0.342656	+	0.593497i	−0.642269	+	0.766479i	$0.722007\pi$
$98$	1.20859	+	6.85425i	0.122086	+	0.692384i
$99$	18.7815	+	15.7595i	1.88761	+	1.58389i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	6.03763	+	10.4575i	0.600767	+	1.04056i	0.992705	+	0.120567i	$0.0384713\pi$
$101$	6.03763	+	10.4575i	0.600767	+	1.04056i	−0.391938	+	0.919991i	$0.628195\pi$
$102$	−3.53117	+	20.0263i	−0.349638	+	1.98290i
$103$	−2.84112	+	4.92097i	−0.279944	+	0.484877i	−0.971371	−	0.237569i	$-0.923649\pi$
$103$	−2.84112	+	4.92097i	−0.279944	+	0.484877i	0.691426	+	0.722447i	$0.256983\pi$
$104$	−5.31887	−	1.93591i	−0.521558	−	0.189832i
$105$	0.621745			0.0606761
$106$	9.42864	+	3.43174i	0.915791	+	0.333321i
$107$	−0.486878	−	2.76122i	−0.0470683	−	0.266938i	0.952187	−	0.305515i	$-0.0988286\pi$
$107$	−0.486878	−	2.76122i	−0.0470683	−	0.266938i	−0.999256	+	0.0385772i	$0.987717\pi$
$108$	8.71828	−	7.31550i	0.838917	−	0.703935i
$109$	2.99837	+	2.51593i	0.287192	+	0.240982i	0.774989	−	0.631974i	$-0.217755\pi$
$109$	2.99837	+	2.51593i	0.287192	+	0.240982i	−0.487798	+	0.872957i	$0.662200\pi$
$110$	−3.68049			−0.350921
$111$	18.8416	+	1.57097i	1.78837	+	0.149110i
$112$	0.200028			0.0189009
$113$	−7.99058	−	6.70489i	−0.751691	−	0.630743i	0.184259	−	0.982878i	$-0.441012\pi$
$113$	−7.99058	−	6.70489i	−0.751691	−	0.630743i	−0.935949	+	0.352134i	$0.885456\pi$
$114$	−6.30469	+	5.29026i	−0.590489	+	0.495479i
$115$	−1.25112	−	7.09546i	−0.116668	−	0.661655i
$116$	−4.47403	−	1.62842i	−0.415404	−	0.151195i
$117$	−37.7054			−3.48586
$118$	−11.1493	−	4.05801i	−1.02637	−	0.373570i
$119$	−0.654317	+	1.13331i	−0.0599811	+	0.103890i
$120$	−0.539749	+	3.06107i	−0.0492721	+	0.279436i
$121$	−1.27299	−	2.20489i	−0.115727	−	0.200444i
$122$	−0.631445	+	1.09369i	−0.0571683	+	0.0990184i
$123$	23.0090	+	19.3069i	2.07466	+	1.74084i
$124$	0.195718	+	1.10997i	0.0175760	+	0.0996785i
$125$	−0.500000	−	0.866025i	−0.0447214	−	0.0774597i
$126$	1.25212	−	0.455735i	0.111548	−	0.0406001i
$127$	9.85824	−	3.58811i	0.874777	−	0.318393i	0.134677	−	0.990890i	$-0.457000\pi$
$127$	9.85824	−	3.58811i	0.874777	−	0.318393i	0.740100	+	0.672497i	$0.234778\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	16.6152	−	13.9418i	1.46288	−	1.22750i
$130$	4.33598	−	3.63832i	0.380291	−	0.319102i
$131$	3.87373	−	21.9690i	0.338449	−	1.91944i	−0.0516428	−	0.998666i	$-0.516446\pi$
$131$	3.87373	−	21.9690i	0.338449	−	1.91944i	0.390092	−	0.920776i	$-0.372443\pi$
$132$	−10.7501	+	3.91272i	−0.935676	+	0.340558i
$133$	−0.497697	+	0.181147i	−0.0431558	+	0.0157074i
$134$	1.38990	+	2.40737i	0.120069	+	0.207966i
$135$	1.97627	+	11.2080i	0.170090	+	0.964631i
$136$	−5.01166	−	4.20528i	−0.429746	−	0.360600i
$137$	−1.70731	+	2.95715i	−0.145866	+	0.252646i	−0.929696	−	0.368329i	$-0.879930\pi$
$137$	−1.70731	+	2.95715i	−0.145866	+	0.252646i	0.783830	+	0.620975i	$0.213263\pi$
$138$	−11.1975	−	19.3946i	−0.953193	−	1.65098i
$139$	2.01053	−	11.4023i	0.170531	−	0.967130i	−0.772645	−	0.634838i	$-0.781067\pi$
$139$	2.01053	−	11.4023i	0.170531	−	0.967130i	0.943177	−	0.332292i	$-0.107822\pi$
$140$	−0.100014	+	0.173229i	−0.00845272	+	0.0146405i
$141$	6.08566	+	2.21500i	0.512505	+	0.186537i
$142$	0.657432			0.0551704
$143$	19.5760	+	7.12509i	1.63703	+	0.595830i
$144$	1.15675	+	6.56026i	0.0963960	+	0.546689i
$145$	3.64727	−	3.06042i	0.302889	−	0.254154i
$146$	−8.78700	−	7.37317i	−0.727218	−	0.610208i
$147$	−21.6337			−1.78431
$148$	−3.46856	+	4.99691i	−0.285114	+	0.410743i
$149$	−10.1937			−0.835103			−0.417552	−	0.908653i	$-0.637112\pi$
$149$	−10.1937			−0.835103			−0.417552	+	0.908653i	$0.637112\pi$
$150$	−2.38109	−	1.99797i	−0.194415	−	0.163134i
$151$	4.41506	−	3.70468i	0.359293	−	0.301482i	−0.445216	−	0.895423i	$-0.646873\pi$
$151$	4.41506	−	3.70468i	0.359293	−	0.301482i	0.804509	+	0.593941i	$0.202429\pi$
$152$	−0.459789	−	2.60759i	−0.0372938	−	0.211504i
$153$	−40.9528	−	14.9056i	−3.31083	−	1.20504i
$154$	−0.736200			−0.0593247
$155$	−1.05912	−	0.385489i	−0.0850709	−	0.0309633i
$156$	8.79680	−	15.2365i	0.704308	−	1.21990i
$157$	−0.893508	+	5.06733i	−0.0713097	+	0.404417i	0.928170	+	0.372157i	$0.121382\pi$
$157$	−0.893508	+	5.06733i	−0.0713097	+	0.404417i	−0.999480	+	0.0322603i	$0.989729\pi$
$158$	2.07299	+	3.59052i	0.164918	+	0.285647i
$159$	−15.5939	+	27.0094i	−1.23668	+	2.14199i
$160$	−0.766044	−	0.642788i	−0.0605611	−	0.0508168i
$161$	−0.250259	−	1.41929i	−0.0197232	−	0.111856i
$162$	7.69537	+	13.3288i	0.604606	+	1.04721i
$163$	−5.73584	+	2.08767i	−0.449266	+	0.163519i	−0.556737	−	0.830689i	$-0.687947\pi$
$163$	−5.73584	+	2.08767i	−0.449266	+	0.163519i	0.107471	+	0.994208i	$0.465725\pi$
$164$	−9.08048	+	3.30502i	−0.709066	+	0.258079i
$165$	1.98654	−	11.2662i	0.154652	−	0.877074i
$166$	7.93726	−	6.66015i	0.616051	−	0.516928i
$167$	4.78750	−	4.01719i	0.370468	−	0.310860i	−0.438479	−	0.898742i	$-0.644482\pi$
$167$	4.78750	−	4.01719i	0.370468	−	0.310860i	0.808947	+	0.587882i	$0.200038\pi$
$168$	−0.107965	+	0.612299i	−0.00832967	+	0.0472399i
$169$	−17.8900	+	6.51141i	−1.37615	+	0.500878i
$170$	6.14771	−	2.23758i	0.471508	−	0.171615i
$171$	−8.81918	−	15.2753i	−0.674420	−	1.16813i
$172$	1.21171	+	6.87196i	0.0923922	+	0.523982i
$173$	−14.4575	−	12.1313i	−1.09918	−	0.922322i	−0.101811	−	0.994804i	$-0.532464\pi$
$173$	−14.4575	−	12.1313i	−1.09918	−	0.922322i	−0.997370	+	0.0724814i	$0.976908\pi$
$174$	7.39955	−	12.8164i	0.560958	−	0.971608i
$175$	−0.100014	−	0.173229i	−0.00756035	−	0.0130949i
$176$	0.639110	−	3.62457i	0.0481747	−	0.273212i
$177$	18.4397	−	31.9384i	1.38601	−	2.40064i
$178$	1.50511	+	0.547815i	0.112813	+	0.0410605i
$179$	−23.2087			−1.73470			−0.867351	−	0.497697i	$-0.834179\pi$
$179$	−23.2087			−1.73470			−0.867351	+	0.497697i	$0.834179\pi$
$180$	−6.25973	−	2.27836i	−0.466573	−	0.169819i
$181$	2.85131	+	16.1706i	0.211936	+	1.20195i	0.886144	+	0.463409i	$0.153374\pi$
$181$	2.85131	+	16.1706i	0.211936	+	1.20195i	−0.674208	+	0.738542i	$0.735515\pi$
$182$	0.867317	−	0.727766i	0.0642898	−	0.0539456i
$183$	−3.00705	−	2.52322i	−0.222288	−	0.186521i
$184$	7.20491			0.531153
$185$	−2.59316	−	5.50232i	−0.190653	−	0.404538i
$186$	−3.50334			−0.256877
$187$	18.4453	+	15.4775i	1.34886	+	1.13183i
$188$	−1.59608	+	1.33927i	−0.116406	+	0.0976762i
$189$	0.395310	+	2.24191i	0.0287546	+	0.163075i
$190$	2.48814	+	0.905608i	0.180508	+	0.0656997i
$191$	−0.267093			−0.0193262			−0.00966309	−	0.999953i	$-0.503076\pi$
$191$	−0.267093			−0.0193262			−0.00966309	+	0.999953i	$0.503076\pi$
$192$	−2.92084	−	1.06310i	−0.210793	−	0.0767225i
$193$	3.71069	−	6.42710i	0.267101	−	0.462633i	−0.701011	−	0.713151i	$-0.747268\pi$
$193$	3.71069	−	6.42710i	0.267101	−	0.462633i	0.968112	+	0.250518i	$0.0806008\pi$
$194$	1.17204	−	6.64699i	0.0841479	−	0.477226i
$195$	8.79680	+	15.2365i	0.629952	+	1.09111i
$196$	3.47999	−	6.02753i	0.248571	−	0.430538i
$197$	3.78843	+	3.17887i	0.269914	+	0.226485i	0.767691	−	0.640820i	$-0.221406\pi$
$197$	3.78843	+	3.17887i	0.269914	+	0.226485i	−0.497777	+	0.867305i	$0.665850\pi$
$198$	−4.25741	−	24.1450i	−0.302561	−	1.71591i
$199$	−6.87601	−	11.9096i	−0.487428	−	0.844249i	0.512468	−	0.858706i	$-0.328731\pi$
$199$	−6.87601	−	11.9096i	−0.487428	−	0.844249i	−0.999895	+	0.0144570i	$0.995398\pi$
$200$	0.939693	−	0.342020i	0.0664463	−	0.0241845i
$201$	−8.11933	+	2.95520i	−0.572694	+	0.208443i
$202$	2.09685	−	11.8918i	0.147534	−	0.836705i
$203$	0.729555	−	0.612170i	0.0512047	−	0.0429659i
$204$	15.5777	−	13.0712i	1.09066	−	0.915169i
$205$	1.67801	−	9.51644i	0.117197	−	0.664657i
$206$	5.33956	−	1.94344i	0.372025	−	0.135406i
$207$	45.1008	−	16.4154i	3.13472	−	1.14095i
$208$	2.83011	+	4.90189i	0.196233	+	0.339885i
$209$	1.69225	+	9.59721i	0.117055	+	0.663853i
$210$	−0.476284	−	0.399650i	−0.0328667	−	0.0275785i
$211$	−7.30065	+	12.6451i	−0.502598	+	0.870525i	0.497398	+	0.867523i	$0.334289\pi$
$211$	−7.30065	+	12.6451i	−0.502598	+	0.870525i	−0.999995	+	0.00300208i	$0.999044\pi$
$212$	−5.01688	−	8.68948i	−0.344560	−	0.596796i
$213$	−0.354848	+	2.01244i	−0.0243138	+	0.137890i
$214$	−1.40191	+	2.42818i	−0.0958326	+	0.165987i
$215$	−6.55715	−	2.38661i	−0.447194	−	0.162765i
$216$	−11.3809			−0.774372
$217$	−0.211854	−	0.0771087i	−0.0143816	−	0.00523448i
$218$	−0.679675	−	3.85463i	−0.0460334	−	0.261068i
$219$	27.3126	−	22.9180i	1.84561	−	1.54865i
$220$	2.81942	+	2.36577i	0.190085	+	0.159500i
$221$	−37.0306			−2.49095
$222$	−13.4237	−	13.3146i	−0.900941	−	0.893616i
$223$	6.15818			0.412382			0.206191	−	0.978512i	$-0.433893\pi$
$223$	6.15818			0.412382			0.206191	+	0.978512i	$0.433893\pi$
$224$	−0.153230	−	0.128576i	−0.0102381	−	0.00859081i
$225$	5.10298	−	4.28191i	0.340199	−	0.285461i
$226$	1.81132	+	10.2725i	0.120487	+	0.683316i
$227$	−14.4397	−	5.25561i	−0.958394	−	0.348827i	−0.184990	−	0.982740i	$-0.559225\pi$
$227$	−14.4397	−	5.25561i	−0.958394	−	0.348827i	−0.773404	+	0.633913i	$0.781448\pi$
$228$	8.23019			0.545058
$229$	−26.9660	−	9.81482i	−1.78196	−	0.648582i	−0.999670	−	0.0256718i	$-0.991827\pi$
$229$	−26.9660	−	9.81482i	−1.78196	−	0.648582i	−0.782294	−	0.622910i	$-0.785950\pi$
$230$	−3.60246	+	6.23964i	−0.237539	+	0.411430i
$231$	0.397363	−	2.25356i	0.0261446	−	0.148273i
$232$	2.38058	+	4.12329i	0.156293	+	0.270707i
$233$	14.0049	−	24.2573i	0.917494	−	1.58915i	0.114286	−	0.993448i	$-0.463542\pi$
$233$	14.0049	−	24.2573i	0.917494	−	1.58915i	0.803208	−	0.595698i	$-0.203125\pi$
$234$	28.8840	+	24.2365i	1.88821	+	1.58439i
$235$	−0.361802	−	2.05188i	−0.0236013	−	0.133850i
$236$	5.93241	+	10.2752i	0.386167	+	0.668861i
$237$	−12.1097	+	4.40758i	−0.786611	+	0.286303i
$238$	1.22971	−	0.447579i	0.0797105	−	0.0290122i
$239$	−4.09253	+	23.2099i	−0.264724	+	1.50132i	0.505097	+	0.863062i	$0.331457\pi$
$239$	−4.09253	+	23.2099i	−0.264724	+	1.50132i	−0.769821	+	0.638260i	$0.779654\pi$
$240$	2.38109	−	1.99797i	0.153699	−	0.128968i
$241$	−14.6820	+	12.3197i	−0.945754	+	0.793582i	−0.978577	−	0.205880i	$-0.933994\pi$
$241$	−14.6820	+	12.3197i	−0.945754	+	0.793582i	0.0328236	+	0.999461i	$0.489550\pi$
$242$	−0.442106	+	2.50731i	−0.0284196	+	0.161176i
$243$	−12.8702	+	4.68437i	−0.825624	+	0.300503i
$244$	1.18673	−	0.431934i	0.0759725	−	0.0276517i
$245$	3.47999	+	6.02753i	0.222329	+	0.385085i
$246$	−5.21573	−	29.5799i	−0.332543	−	1.88594i
$247$	−11.4809	−	9.63361i	−0.730512	−	0.612972i
$248$	0.563548	−	0.976094i	0.0357853	−	0.0619820i
$249$	16.1030	+	27.8913i	1.02049	+	1.76754i
$250$	−0.173648	+	0.984808i	−0.0109825	+	0.0622847i
$251$	−12.8369	+	22.2341i	−0.810256	+	1.40340i	0.102429	+	0.994740i	$0.467339\pi$
$251$	−12.8369	+	22.2341i	−0.810256	+	1.40340i	−0.912685	+	0.408664i	$0.865995\pi$
$252$	−1.25212	−	0.455735i	−0.0788762	−	0.0287086i
$253$	−26.5176			−1.66715
$254$	−9.85824	−	3.58811i	−0.618561	−	0.225138i
$255$	3.53117	+	20.0263i	0.221131	+	1.25409i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	17.3361	+	14.5467i	1.08140	+	0.907399i	0.996036	−	0.0889511i	$-0.0283515\pi$
$257$	17.3361	+	14.5467i	1.08140	+	0.907399i	0.0853601	+	0.996350i	$0.472796\pi$
$258$	−21.6896			−1.35033
$259$	−0.518706	−	1.10062i	−0.0322308	−	0.0683890i
$260$	−5.66022			−0.351032
$261$	24.2961	+	20.3869i	1.50389	+	1.26192i
$262$	−17.0889	+	14.3393i	−1.05575	+	0.885882i
$263$	4.65204	+	26.3831i	0.286857	+	1.62685i	0.698575	+	0.715537i	$0.253818\pi$
$263$	4.65204	+	26.3831i	0.286857	+	1.62685i	−0.411717	+	0.911312i	$0.635071\pi$
$264$	10.7501	+	3.91272i	0.661623	+	0.240811i
$265$	10.0338			0.616368
$266$	0.497697	+	0.181147i	0.0305158	+	0.0111068i
$267$	−2.48928	+	4.31156i	−0.152341	+	0.263863i
$268$	0.482707	−	2.73757i	0.0294860	−	0.167223i
$269$	−2.34038	−	4.05367i	−0.142696	−	0.247156i	0.785815	−	0.618461i	$-0.212244\pi$
$269$	−2.34038	−	4.05367i	−0.142696	−	0.247156i	−0.928511	+	0.371305i	$0.878910\pi$
$270$	5.69045	−	9.85615i	0.346310	−	0.599826i
$271$	1.01910	+	0.855127i	0.0619060	+	0.0519453i	0.673216	−	0.739446i	$-0.264913\pi$
$271$	1.01910	+	0.855127i	0.0619060	+	0.0519453i	−0.611310	+	0.791391i	$0.709357\pi$
$272$	1.13605	+	6.44286i	0.0688832	+	0.390656i
$273$	1.75961	+	3.04773i	0.106496	+	0.184457i
$274$	3.20870	−	1.16787i	0.193844	−	0.0705536i
$275$	−3.45853	+	1.25880i	−0.208557	+	0.0759085i
$276$	−3.88884	+	22.0547i	−0.234081	+	1.32754i
$277$	0.00231839	−	0.00194536i	0.000139298	−	0.000116885i	−0.642718	−	0.766103i	$-0.722193\pi$
$277$	0.00231839	−	0.00194536i	0.000139298	−	0.000116885i	0.642857	+	0.765986i	$0.277749\pi$
$278$	−8.86941	+	7.44232i	−0.531952	+	0.446361i
$279$	1.30377	−	7.39405i	0.0780547	−	0.442670i
$280$	0.187965	−	0.0684136i	0.0112330	−	0.00408849i
$281$	17.4032	−	6.33423i	1.03819	−	0.377869i	0.233994	−	0.972238i	$-0.424821\pi$
$281$	17.4032	−	6.33423i	1.03819	−	0.377869i	0.804192	+	0.594369i	$0.202598\pi$
$282$	−3.23811	−	5.60857i	−0.192827	−	0.333986i
$283$	−3.49632	−	19.8286i	−0.207835	−	1.17869i	−0.892916	−	0.450223i	$-0.851344\pi$
$283$	−3.49632	−	19.8286i	−0.207835	−	1.17869i	0.685081	−	0.728467i	$-0.259767\pi$
$284$	−0.503622	−	0.422589i	−0.0298845	−	0.0250760i
$285$	−4.11510	+	7.12755i	−0.243757	+	0.422200i
$286$	−10.4162	−	18.0414i	−0.615922	−	1.06681i
$287$	0.335648	−	1.90355i	0.0198127	−	0.112363i
$288$	3.33073	−	5.76900i	0.196265	−	0.339942i
$289$	−24.2451	−	8.82449i	−1.42618	−	0.519088i
$290$	−4.76117			−0.279585
$291$	19.7143	+	7.17541i	1.15567	+	0.420630i
$292$	1.99185	+	11.2964i	0.116564	+	0.661069i
$293$	−6.52180	+	5.47244i	−0.381008	+	0.319703i	−0.813098	−	0.582127i	$-0.802221\pi$
$293$	−6.52180	+	5.47244i	−0.381008	+	0.319703i	0.432090	+	0.901830i	$0.357776\pi$
$294$	16.5723	+	13.9059i	0.966519	+	0.811006i
$295$	−11.8648			−0.690797
$296$	5.86902	−	1.59830i	0.341130	−	0.0928994i
$297$	41.8873			2.43055
$298$	7.80885	+	6.55241i	0.452355	+	0.379571i
$299$	31.2404	−	26.2138i	1.80668	−	1.51598i
$300$	0.539749	+	3.06107i	0.0311624	+	0.176731i
$301$	−1.31161	−	0.477388i	−0.0756001	−	0.0275162i
$302$	−5.76345			−0.331649
$303$	35.2699	+	12.8372i	2.02620	+	0.737477i
$304$	−1.32391	+	2.29308i	−0.0759314	+	0.131517i
$305$	−0.219298	+	1.24370i	−0.0125570	+	0.0712142i
$306$	21.7905	+	37.7423i	1.24568	+	2.15758i
$307$	10.3465	−	17.9206i	0.590505	−	1.02278i	−0.403659	−	0.914909i	$-0.632262\pi$
$307$	10.3465	−	17.9206i	0.590505	−	1.02278i	0.994164	−	0.107875i	$-0.0344048\pi$
$308$	0.563962	+	0.473220i	0.0321347	+	0.0269642i
$309$	3.06699	+	17.3937i	0.174475	+	0.989495i
$310$	0.563548	+	0.976094i	0.0320074	+	0.0554384i
$311$	−10.5662	+	3.84579i	−0.599155	+	0.218074i	−0.623751	−	0.781623i	$-0.714392\pi$
$311$	−10.5662	+	3.84579i	−0.599155	+	0.218074i	0.0245964	+	0.999697i	$0.492170\pi$
$312$	−16.5326	+	6.01737i	−0.935973	+	0.340666i
$313$	−0.658931	+	3.73699i	−0.0372450	+	0.211227i	−0.997751	−	0.0670333i	$-0.978647\pi$
$313$	−0.658931	+	3.73699i	−0.0372450	+	0.211227i	0.960506	+	0.278260i	$0.0897578\pi$
$314$	3.94169	−	3.30747i	0.222442	−	0.186651i
$315$	1.02074	−	0.856501i	0.0575121	−	0.0482584i
$316$	0.719941	−	4.08299i	0.0404999	−	0.229686i
$317$	−19.2051	+	6.99007i	−1.07866	+	0.392601i	−0.819410	−	0.573208i	$-0.805699\pi$
$317$	−19.2051	+	6.99007i	−1.07866	+	0.392601i	−0.259253	+	0.965809i	$0.583476\pi$
$318$	29.3070	−	10.6669i	1.64345	−	0.598168i
$319$	−8.76171	−	15.1757i	−0.490562	−	0.849677i
$320$	0.173648	+	0.984808i	0.00970723	+	0.0550524i
$321$	−6.67615	−	5.60195i	−0.372626	−	0.312670i
$322$	−0.720592	+	1.24810i	−0.0401570	+	0.0695540i
$323$	−8.66135	−	15.0019i	−0.481931	−	0.834728i
$324$	2.67257	−	15.1569i	0.148476	−	0.842051i
$325$	2.83011	−	4.90189i	0.156986	−	0.271908i
$326$	5.73584	+	2.08767i	0.317679	+	0.115626i
$327$	12.1661			0.672789
$328$	9.08048	+	3.30502i	0.501386	+	0.182489i
$329$	−0.0723704	−	0.410433i	−0.00398991	−	0.0226279i
$330$	−8.76357	+	7.35350i	−0.482418	+	0.404797i
$331$	6.93470	+	5.81890i	0.381165	+	0.319836i	0.813160	−	0.582041i	$-0.197746\pi$
$331$	6.93470	+	5.81890i	0.381165	+	0.319836i	−0.431994	+	0.901876i	$0.642190\pi$
$332$	−10.3614			−0.568653
$333$	33.0970	−	23.3767i	1.81370	−	1.28103i
$334$	−6.24964			−0.341965
$335$	2.12945	+	1.78682i	0.116344	+	0.0976244i
$336$	0.476284	−	0.399650i	0.0259834	−	0.0218027i
$337$	−2.60774	−	14.7892i	−0.142053	−	0.805621i	−0.969686	−	0.244353i	$-0.921425\pi$
$337$	−2.60774	−	14.7892i	−0.142053	−	0.805621i	0.827634	−	0.561269i	$-0.189687\pi$
$338$	17.8900	+	6.51141i	0.973086	+	0.354174i
$339$	−32.4225			−1.76095
$340$	−6.14771	−	2.23758i	−0.333406	−	0.121350i
$341$	−2.07413	+	3.59250i	−0.112320	+	0.194545i
$342$	−3.06287	+	17.3704i	−0.165621	+	0.939283i
$343$	1.39619	+	2.41828i	0.0753874	+	0.130575i
$344$	3.48898	−	6.04310i	0.188113	−	0.325822i
$345$	−17.1555	−	14.3952i	−0.923623	−	0.775012i
$346$	3.27724	+	18.5862i	0.176186	+	0.999198i
$347$	−3.98887	−	6.90892i	−0.214134	−	0.370890i	0.738871	−	0.673847i	$-0.235359\pi$
$347$	−3.98887	−	6.90892i	−0.214134	−	0.370890i	−0.953004	+	0.302957i	$0.902026\pi$
$348$	−13.9066	+	5.06159i	−0.745472	+	0.271330i
$349$	1.38039	−	0.502421i	0.0738906	−	0.0268940i	−0.304810	−	0.952413i	$-0.598593\pi$
$349$	1.38039	−	0.502421i	0.0738906	−	0.0268940i	0.378701	+	0.925519i	$0.376371\pi$
$350$	−0.0347345	+	0.196989i	−0.00185664	+	0.0105295i
$351$	−49.3474	+	41.4074i	−2.63397	+	2.21016i
$352$	−2.81942	+	2.36577i	−0.150275	+	0.126096i
$353$	0.152507	−	0.864910i	0.00811713	−	0.0460345i	−0.980480	−	0.196618i	$-0.937004\pi$
$353$	0.152507	−	0.864910i	0.00811713	−	0.0460345i	0.988597	+	0.150583i	$0.0481152\pi$
$354$	−34.6552	+	12.6135i	−1.84190	+	0.670398i
$355$	0.617784	−	0.224855i	0.0327886	−	0.0119341i
$356$	−0.800852	−	1.38712i	−0.0424451	−	0.0735170i
$357$	0.706334	+	4.00582i	0.0373831	+	0.212010i
$358$	17.7789	+	14.9183i	0.939645	+	0.788456i
$359$	7.74155	−	13.4088i	0.408583	−	0.707687i	−0.586148	−	0.810204i	$-0.699356\pi$
$359$	7.74155	−	13.4088i	0.408583	−	0.707687i	0.994731	+	0.102517i	$0.0326896\pi$
$360$	3.33073	+	5.76900i	0.175545	+	0.304053i
$361$	−2.08188	+	11.8069i	−0.109572	+	0.621416i
$362$	8.21003	−	14.2202i	0.431509	−	0.747396i
$363$	−7.43641	−	2.70663i	−0.390310	−	0.142061i
$364$	−1.13220			−0.0593435
$365$	−10.7789	−	3.92318i	−0.564191	−	0.205349i
$366$	0.681643	+	3.86579i	0.0356301	+	0.202068i
$367$	14.3879	−	12.0729i	0.751043	−	0.630200i	−0.184735	−	0.982788i	$-0.559143\pi$
$367$	14.3879	−	12.0729i	0.751043	−	0.630200i	0.935779	+	0.352588i	$0.114698\pi$
$368$	−5.51928	−	4.63123i	−0.287713	−	0.241420i
$369$	64.3714			3.35104
$370$	−1.55034	+	5.88187i	−0.0805984	+	0.305784i
$371$	2.00703			0.104200
$372$	2.68371	+	2.25190i	0.139144	+	0.116756i
$373$	−23.7489	+	19.9277i	−1.22967	+	1.03182i	−0.231413	+	0.972856i	$0.574335\pi$
$373$	−23.7489	+	19.9277i	−1.22967	+	1.03182i	−0.998260	+	0.0589628i	$0.981221\pi$
$374$	−4.18122	−	23.7129i	−0.216206	−	1.22616i
$375$	−2.92084	−	1.06310i	−0.150831	−	0.0548981i
$376$	2.08353			0.107450
$377$	25.3240	+	9.21719i	1.30425	+	0.474709i
$378$	1.13825	−	1.97151i	0.0585452	−	0.101403i
$379$	−5.83335	+	33.0826i	−0.299639	+	1.69934i	0.348086	+	0.937463i	$0.386832\pi$
$379$	−5.83335	+	33.0826i	−0.299639	+	1.69934i	−0.647725	+	0.761875i	$0.724279\pi$
$380$	−1.32391	−	2.29308i	−0.0679151	−	0.117632i
$381$	16.3044	−	28.2401i	0.835300	−	1.44678i
$382$	0.204605	+	0.171684i	0.0104685	+	0.00878413i
$383$	−5.44917	−	30.9038i	−0.278440	−	1.57911i	−0.727819	−	0.685769i	$-0.759466\pi$
$383$	−5.44917	−	30.9038i	−0.278440	−	1.57911i	0.449379	−	0.893341i	$-0.351645\pi$
$384$	1.55415	+	2.69186i	0.0793096	+	0.137368i
$385$	−0.691802	+	0.251795i	−0.0352575	+	0.0128327i
$386$	−6.97381	+	2.53826i	−0.354958	+	0.129194i
$387$	8.07178	−	45.7773i	0.410312	−	2.32699i
$388$	−5.17044	+	4.33852i	−0.262489	+	0.220255i
$389$	19.6770	−	16.5109i	0.997662	−	0.837138i	0.0110036	−	0.999939i	$-0.496497\pi$
$389$	19.6770	−	16.5109i	0.997662	−	0.837138i	0.986659	+	0.162801i	$0.0520529\pi$
$390$	3.05510	−	17.3263i	0.154701	−	0.877352i
$391$	44.2937	−	16.1216i	2.24003	−	0.815304i
$392$	−6.54025	+	2.38046i	−0.330333	+	0.120231i
$393$	−34.6697	−	60.0498i	−1.74886	−	3.02911i
$394$	−0.858767	−	4.87031i	−0.0432640	−	0.245363i
$395$	3.17600	+	2.66498i	0.159802	+	0.134090i
$396$	−12.2587	+	21.2327i	−0.616024	+	1.06698i
$397$	9.12650	+	15.8076i	0.458046	+	0.793358i	0.998858	−	0.0477851i	$-0.0152163\pi$
$397$	9.12650	+	15.8076i	0.458046	+	0.793358i	−0.540812	+	0.841144i	$0.681883\pi$
$398$	−2.38801	+	13.5431i	−0.119700	+	0.678854i
$399$	−0.823134	+	1.42571i	−0.0412083	+	0.0713748i
$400$	−0.939693	−	0.342020i	−0.0469846	−	0.0171010i
$401$	−1.09522			−0.0546929			−0.0273465	−	0.999626i	$-0.508706\pi$
$401$	−1.09522			−0.0546929			−0.0273465	+	0.999626i	$0.508706\pi$
$402$	8.11933	+	2.95520i	0.404956	+	0.147392i
$403$	−1.10781	−	6.28269i	−0.0551838	−	0.312963i
$404$	−9.25019	+	7.76183i	−0.460214	+	0.386165i
$405$	11.7900	+	9.89298i	0.585850	+	0.491586i
$406$	−0.952367			−0.0472652
$407$	−21.6009	+	5.88253i	−1.07072	+	0.291586i
$408$	−20.3352			−1.00674
$409$	10.3070	+	8.64858i	0.509647	+	0.427645i	0.861005	−	0.508596i	$-0.169835\pi$
$409$	10.3070	+	8.64858i	0.509647	+	0.427645i	−0.351358	+	0.936241i	$0.614280\pi$
$410$	−7.40248	+	6.21142i	−0.365582	+	0.306760i
$411$	1.84304	+	10.4524i	0.0909104	+	0.515579i
$412$	−5.33956	−	1.94344i	−0.263061	−	0.0957465i
$413$	−2.37330			−0.116782
$414$	−45.1008	−	16.4154i	−2.21658	−	0.806771i
$415$	5.18068	−	8.97319i	0.254309	−	0.440477i
$416$	0.982887	−	5.57423i	0.0481900	−	0.273299i
$417$	−17.9942	−	31.1668i	−0.881179	−	1.52625i
$418$	4.87263	−	8.43965i	0.238328	−	0.412797i
$419$	0.597079	+	0.501009i	0.0291692	+	0.0244759i	0.657256	−	0.753668i	$-0.271717\pi$
$419$	0.597079	+	0.501009i	0.0291692	+	0.0244759i	−0.628086	+	0.778144i	$0.716162\pi$
$420$	0.107965	+	0.612299i	0.00526815	+	0.0298771i
$421$	13.3275	+	23.0840i	0.649544	+	1.12504i	0.983232	+	0.182360i	$0.0583736\pi$
$421$	13.3275	+	23.0840i	0.649544	+	1.12504i	−0.333688	+	0.942684i	$0.608293\pi$
$422$	13.7207	−	4.99394i	0.667915	−	0.243101i
$423$	13.0424	−	4.74703i	0.634141	−	0.230808i
$424$	−1.74234	+	9.88132i	−0.0846156	+	0.479879i
$425$	5.01166	−	4.20528i	0.243101	−	0.203986i
$426$	1.56540	−	1.31353i	0.0758440	−	0.0636407i
$427$	−0.0438658	+	0.248775i	−0.00212282	+	0.0120391i
$428$	2.63473	−	0.958963i	0.127354	−	0.0463532i
$429$	60.8480	−	22.1468i	2.93777	−	1.06926i
$430$	3.48898	+	6.04310i	0.168254	+	0.291424i
$431$	6.20377	+	35.1833i	0.298825	+	1.69472i	0.651236	+	0.758875i	$0.274251\pi$
$431$	6.20377	+	35.1833i	0.298825	+	1.69472i	−0.352412	+	0.935845i	$0.614638\pi$
$432$	8.71828	+	7.31550i	0.419458	+	0.351967i
$433$	−7.53006	+	13.0425i	−0.361872	+	0.626780i	−0.988269	−	0.152724i	$-0.951196\pi$
$433$	−7.53006	+	13.0425i	−0.361872	+	0.626780i	0.626397	+	0.779504i	$0.284529\pi$
$434$	0.112725	+	0.195246i	0.00541099	+	0.00937211i
$435$	2.56984	−	14.5743i	0.123214	−	0.698782i
$436$	−1.95705	+	3.38970i	−0.0937255	+	0.162337i
$437$	17.9268	+	6.52483i	0.857556	+	0.312125i
$438$	−35.6540			−1.70361
$439$	−18.6564	−	6.79039i	−0.890423	−	0.324088i	−0.144015	−	0.989576i	$-0.546001\pi$
$439$	−18.6564	−	6.79039i	−0.890423	−	0.324088i	−0.746409	+	0.665488i	$0.768224\pi$
$440$	−0.639110	−	3.62457i	−0.0304684	−	0.172795i
$441$	−35.5167	+	29.8020i	−1.69127	+	1.41914i
$442$	28.3671	+	23.8028i	1.34928	+	1.13218i
$443$	20.4087			0.969646			0.484823	−	0.874612i	$-0.338884\pi$
$443$	20.4087			0.969646			0.484823	+	0.874612i	$0.338884\pi$
$444$	1.72471	+	18.8282i	0.0818512	+	0.893545i
$445$	1.60170			0.0759280
$446$	−4.71744	−	3.95840i	−0.223377	−	0.187436i
$447$	−24.2722	+	20.3668i	−1.14803	+	0.963316i
$448$	0.0347345	+	0.196989i	0.00164105	+	0.00930686i
$449$	−24.7604	−	9.01207i	−1.16852	−	0.425306i	−0.316385	−	0.948631i	$-0.602469\pi$
$449$	−24.7604	−	9.01207i	−1.16852	−	0.425306i	−0.852133	+	0.523325i	$0.824691\pi$
$450$	−6.66147			−0.314025
$451$	−33.4206	−	12.1641i	−1.57371	−	0.572785i
$452$	5.21548	−	9.03348i	0.245316	−	0.424899i
$453$	3.11082	−	17.6423i	0.146159	−	0.828909i
$454$	7.68318	+	13.3077i	0.360590	+	0.624560i
$455$	0.566101	−	0.980516i	0.0265392	−	0.0459673i
$456$	−6.30469	−	5.29026i	−0.295244	−	0.247739i
$457$	3.34286	+	18.9583i	0.156373	+	0.886833i	0.957520	+	0.288366i	$0.0931120\pi$
$457$	3.34286	+	18.9583i	0.156373	+	0.886833i	−0.801148	+	0.598467i	$0.795777\pi$
$458$	14.3483	+	24.8520i	0.670453	+	1.16126i
$459$	−69.9665	+	25.4657i	−3.26575	+	1.18864i
$460$	6.77040	−	2.46423i	0.315672	−	0.114895i
$461$	−0.163507	+	0.927296i	−0.00761530	+	0.0431885i	−0.988379	−	0.152012i	$-0.951425\pi$
$461$	−0.163507	+	0.927296i	−0.00761530	+	0.0431885i	0.980763	+	0.195201i	$0.0625358\pi$
$462$	−1.75296	+	1.47091i	−0.0815550	+	0.0684328i
$463$	−2.29052	+	1.92197i	−0.106449	+	0.0893216i	−0.694459	−	0.719532i	$-0.744356\pi$
$463$	−2.29052	+	1.92197i	−0.106449	+	0.0893216i	0.588010	+	0.808854i	$0.299912\pi$
$464$	0.826768	−	4.68884i	0.0383817	−	0.217674i
$465$	−3.29206	+	1.19821i	−0.152666	+	0.0555658i
$466$	−26.3207	+	9.57994i	−1.21928	+	0.443782i
$467$	−10.6385	−	18.4264i	−0.492290	−	0.852672i	0.507670	−	0.861551i	$-0.330507\pi$
$467$	−10.6385	−	18.4264i	−0.492290	−	0.852672i	−0.999961	+	0.00887962i	$0.997173\pi$
$468$	−6.54747	−	37.1325i	−0.302657	−	1.71645i
$469$	0.425949	+	0.357414i	0.0196685	+	0.0165038i
$470$	−1.04177	+	1.80439i	−0.0480531	+	0.0832304i
$471$	7.99686	+	13.8510i	0.368476	+	0.638219i
$472$	2.06030	−	11.6846i	0.0948332	−	0.537826i
$473$	−12.8412	+	22.2415i	−0.590437	+	1.02267i
$474$	12.1097	+	4.40758i	0.556218	+	0.202447i
$475$	2.64782			0.121490
$476$	−1.22971	−	0.447579i	−0.0563638	−	0.0205148i
$477$	11.6066	+	65.8241i	0.531428	+	3.01388i
$478$	18.0541	−	15.1492i	0.825775	−	0.692907i
$479$	13.8162	+	11.5932i	0.631278	+	0.529705i	0.901326	−	0.433142i	$-0.142595\pi$
$479$	13.8162	+	11.5932i	0.631278	+	0.529705i	−0.270048	+	0.962847i	$0.587040\pi$
$480$	−3.10829			−0.141873
$481$	19.6328	−	28.2836i	0.895180	−	1.28962i
$482$	19.1661			0.872990
$483$	−3.43159	−	2.87944i	−0.156143	−	0.131019i
$484$	1.95034	−	1.63653i	0.0886518	−	0.0743877i
$485$	−1.17204	−	6.64699i	−0.0532198	−	0.301824i
$486$	12.8702	+	4.68437i	0.583805	+	0.212487i
$487$	−16.0547			−0.727508			−0.363754	−	0.931495i	$-0.618505\pi$
$487$	−16.0547			−0.727508			−0.363754	+	0.931495i	$0.618505\pi$
$488$	−1.18673	−	0.431934i	−0.0537206	−	0.0195527i
$489$	−9.48643	+	16.4310i	−0.428991	+	0.743034i
$490$	1.20859	−	6.85425i	0.0545985	−	0.309643i
$491$	8.55802	+	14.8229i	0.386218	+	0.668949i	0.991937	−	0.126729i	$-0.0404479\pi$
$491$	8.55802	+	14.8229i	0.386218	+	0.668949i	−0.605719	+	0.795678i	$0.707115\pi$
$492$	−15.0181	+	26.0121i	−0.677068	+	1.17272i
$493$	23.8613	+	20.0220i	1.07466	+	0.901747i
$494$	2.60251	+	14.7596i	0.117092	+	0.664064i
$495$	−12.2587	−	21.2327i	−0.550989	−	0.954340i
$496$	−1.05912	+	0.385489i	−0.0475561	+	0.0173090i
$497$	0.123574	−	0.0449773i	0.00554305	−	0.00201751i
$498$	5.59253	−	31.7168i	0.250607	−	1.42126i
$499$	−8.00054	+	6.71325i	−0.358153	+	0.300526i	−0.804054	−	0.594556i	$-0.797328\pi$
$499$	−8.00054	+	6.71325i	−0.358153	+	0.300526i	0.445901	+	0.895082i	$0.352883\pi$
$500$	0.766044	−	0.642788i	0.0342585	−	0.0287463i
$501$	3.37324	−	19.1306i	0.150705	−	0.854691i
$502$	24.1254	−	8.78093i	1.07677	−	0.391912i
$503$	5.94324	−	2.16316i	0.264996	−	0.0964507i	−0.206105	−	0.978530i	$-0.566079\pi$
$503$	5.94324	−	2.16316i	0.264996	−	0.0964507i	0.471101	+	0.882079i	$0.343857\pi$
$504$	0.666240	+	1.15396i	0.0296767	+	0.0514015i
$505$	−2.09685	−	11.8918i	−0.0933085	−	0.529179i
$506$	20.3137	+	17.0452i	0.903052	+	0.757751i
$507$	−29.5880	+	51.2479i	−1.31405	+	2.27600i
$508$	5.24546	+	9.08540i	0.232730	+	0.403100i
$509$	1.85637	−	10.5280i	0.0822822	−	0.466646i	−0.915628	−	0.402027i	$-0.868306\pi$
$509$	1.85637	−	10.5280i	0.0822822	−	0.466646i	0.997910	−	0.0646187i	$-0.0205831\pi$
$510$	10.1676	−	17.6108i	0.450229	−	0.779820i
$511$	−2.15607	−	0.784746i	−0.0953791	−	0.0347151i
$512$	−1.00000			−0.0441942
$513$	−28.3172	−	10.3066i	−1.25024	−	0.455049i
$514$	−3.92977	−	22.2869i	−0.173335	−	0.983031i
$515$	4.35285	−	3.65248i	0.191810	−	0.160947i
$516$	16.6152	+	13.9418i	0.731442	+	0.613752i
$517$	−7.66841			−0.337256
$518$	−0.310112	+	1.17654i	−0.0136255	+	0.0516942i
$519$	−58.6624			−2.57499
$520$	4.33598	+	3.63832i	0.190145	+	0.159551i
$521$	16.5194	−	13.8614i	0.723726	−	0.607279i	−0.204687	−	0.978827i	$-0.565618\pi$
$521$	16.5194	−	13.8614i	0.723726	−	0.607279i	0.928413	+	0.371549i	$0.121173\pi$
$522$	−5.50749	−	31.2345i	−0.241056	−	1.36710i
$523$	−25.0275	−	9.10927i	−1.09438	−	0.398321i	−0.269136	−	0.963102i	$-0.586738\pi$
$523$	−25.0275	−	9.10927i	−1.09438	−	0.398321i	−0.825240	+	0.564782i	$0.808960\pi$
$524$	22.3079			0.974526
$525$	−0.584249	−	0.212649i	−0.0254987	−	0.00928078i
$526$	13.3950	−	23.2009i	0.584051	−	1.01161i
$527$	1.28044	−	7.26172i	0.0557767	−	0.316326i
$528$	−5.72001	−	9.90735i	−0.248932	−	0.431162i
$529$	−14.4554	+	25.0375i	−0.628495	+	1.08859i
$530$	−7.68630	−	6.44957i	−0.333871	−	0.280151i
$531$	−13.7247	−	77.8364i	−0.595599	−	3.37781i
$532$	−0.264819	−	0.458680i	−0.0114814	−	0.0198863i
$533$	51.3975	−	18.7072i	2.22627	−	0.810297i
$534$	4.67832	−	1.70277i	0.202451	−	0.0736860i
$535$	−0.486878	+	2.76122i	−0.0210496	+	0.119378i
$536$	−2.12945	+	1.78682i	−0.0919781	+	0.0771788i
$537$	−55.2620	+	46.3704i	−2.38473	+	2.00103i
$538$	−0.812807	+	4.60966i	−0.0350426	+	0.198736i
$539$	24.0713	−	8.76124i	1.03682	−	0.377373i
$540$	−10.6946	+	3.89250i	−0.460220	+	0.167506i
$541$	−7.46038	−	12.9218i	−0.320747	−	0.555550i	0.659896	−	0.751357i	$-0.270600\pi$
$541$	−7.46038	−	12.9218i	−0.320747	−	0.555550i	−0.980642	+	0.195808i	$0.937267\pi$
$542$	−0.231011	−	1.31013i	−0.00992279	−	0.0562750i
$543$	39.0976	+	32.8068i	1.67784	+	1.40787i
$544$	3.27113	−	5.66576i	0.140248	−	0.242917i
$545$	−1.95705	−	3.38970i	−0.0838306	−	0.145199i
$546$	0.611105	−	3.46575i	0.0261529	−	0.148320i
$547$	−2.10976	+	3.65420i	−0.0902066	+	0.156242i	−0.907598	−	0.419840i	$-0.862086\pi$
$547$	−2.10976	+	3.65420i	−0.0902066	+	0.156242i	0.817391	+	0.576083i	$0.195419\pi$
$548$	−3.20870	−	1.16787i	−0.137069	−	0.0498889i
$549$	−8.41270			−0.359045
$550$	3.45853	+	1.25880i	0.147472	+	0.0536754i
$551$	2.18913	+	12.4152i	0.0932602	+	0.528905i
$552$	17.1555	−	14.3952i	0.730188	−	0.612701i
$553$	0.635289	+	0.533071i	0.0270153	+	0.0226685i
$554$	−0.00302644			−0.000128581
$555$	−17.1680	−	7.92044i	−0.728742	−	0.336204i
$556$	11.5782			0.491025
$557$	−27.4275	−	23.0144i	−1.16214	−	0.975153i	−0.162210	−	0.986756i	$-0.551862\pi$
$557$	−27.4275	−	23.0144i	−1.16214	−	0.975153i	−0.999933	+	0.0116031i	$0.996307\pi$
$558$	−5.75155	+	4.82612i	−0.243482	+	0.204306i
$559$	−6.85856	−	38.8968i	−0.290086	−	1.64516i
$560$	−0.187965	−	0.0684136i	−0.00794296	−	0.00289100i
$561$	74.8435			3.15990
$562$	−17.4032	−	6.33423i	−0.734108	−	0.267194i
$563$	11.1210	−	19.2621i	0.468694	−	0.811802i	−0.530666	−	0.847581i	$-0.678058\pi$
$563$	11.1210	−	19.2621i	0.468694	−	0.811802i	0.999360	+	0.0357792i	$0.0113913\pi$
$564$	−1.12458	+	6.37783i	−0.0473535	+	0.268555i
$565$	5.21548	+	9.03348i	0.219417	+	0.380041i
$566$	−10.0673	+	17.4370i	−0.423159	+	0.732932i
$567$	2.35833	+	1.97887i	0.0990405	+	0.0831048i
$568$	0.114162	+	0.647444i	0.00479012	+	0.0271661i
$569$	−2.19834	−	3.80763i	−0.0921590	−	0.159624i	0.816260	−	0.577684i	$-0.196043\pi$
$569$	−2.19834	−	3.80763i	−0.0921590	−	0.159624i	−0.908419	+	0.418060i	$0.862710\pi$
$570$	7.73385	−	2.81489i	0.323935	−	0.117903i
$571$	11.1132	−	4.04486i	0.465072	−	0.169272i	−0.0988468	−	0.995103i	$-0.531515\pi$
$571$	11.1132	−	4.04486i	0.465072	−	0.169272i	0.563919	+	0.825830i	$0.309293\pi$
$572$	−3.61750	+	20.5159i	−0.151255	+	0.857812i
$573$	−0.635972	+	0.533644i	−0.0265681	+	0.0222933i
$574$	−1.48070	+	1.24246i	−0.0618033	+	0.0518591i
$575$	−1.25112	+	7.09546i	−0.0521753	+	0.295901i
$576$	−6.25973	+	2.27836i	−0.260822	+	0.0949315i
$577$	−30.3466	+	11.0452i	−1.26334	+	0.459820i	−0.884890	−	0.465801i	$-0.845766\pi$
$577$	−30.3466	+	11.0452i	−1.26334	+	0.459820i	−0.378454	+	0.925620i	$0.623544\pi$
$578$	12.9005	+	22.3444i	0.536592	+	0.929404i
$579$	−4.00568	−	22.7173i	−0.166470	−	0.944101i
$580$	3.64727	+	3.06042i	0.151444	+	0.127077i
$581$	1.03628	−	1.79489i	0.0429921	−	0.0744646i
$582$	−10.4898	−	18.1688i	−0.434814	−	0.753121i
$583$	6.41267	−	36.3681i	0.265586	−	1.50621i
$584$	5.73531	−	9.93385i	0.237329	−	0.411066i
$585$	35.4315	+	12.8960i	1.46491	+	0.533184i
$586$	8.51361			0.351694
$587$	25.9855	+	9.45795i	1.07254	+	0.390371i	0.817125	−	0.576461i	$-0.195567\pi$
$587$	25.9855	+	9.45795i	1.07254	+	0.390371i	0.255412	+	0.966832i	$0.417789\pi$
$588$	−3.75665	−	21.3050i	−0.154921	−	0.878603i
$589$	2.28614	−	1.91830i	0.0941988	−	0.0790422i
$590$	9.08898	+	7.62656i	0.374187	+	0.313980i
$591$	15.3719			0.632314
$592$	−5.52330	−	2.54817i	−0.227006	−	0.104729i
$593$	2.15132			0.0883443			0.0441721	−	0.999024i	$-0.485935\pi$
$593$	2.15132			0.0883443			0.0441721	+	0.999024i	$0.485935\pi$
$594$	−32.0875	−	26.9246i	−1.31657	−	1.10473i
$595$	1.00247	−	0.841174i	0.0410973	−	0.0344848i
$596$	−1.77012	−	10.0389i	−0.0725071	−	0.411208i
$597$	−40.1674	−	14.6197i	−1.64394	−	0.598347i
$598$	−40.7814			−1.66768
$599$	7.51268	+	2.73439i	0.306960	+	0.111724i	0.490907	−	0.871212i	$-0.336665\pi$
$599$	7.51268	+	2.73439i	0.306960	+	0.111724i	−0.183947	+	0.982936i	$0.558888\pi$
$600$	1.55415	−	2.69186i	0.0634477	−	0.109895i
$601$	−1.34538	+	7.63004i	−0.0548792	+	0.311236i	−0.999874	−	0.0158487i	$-0.994955\pi$
$601$	−1.34538	+	7.63004i	−0.0548792	+	0.311236i	0.944995	+	0.327084i	$0.106066\pi$
$602$	0.697895	+	1.20879i	0.0284441	+	0.0492666i
$603$	−9.25876	+	16.0366i	−0.377046	+	0.653063i
$604$	4.41506	+	3.70468i	0.179646	+	0.150741i
$605$	0.442106	+	2.50731i	0.0179742	+	0.101937i
$606$	−18.7667	−	32.5049i	−0.762345	−	1.32042i
$607$	40.9522	−	14.9054i	1.66220	−	0.604992i	0.671494	−	0.741010i	$-0.265653\pi$
$607$	40.9522	−	14.9054i	1.66220	−	0.604992i	0.990706	+	0.136018i	$0.0434306\pi$
$608$	2.48814	−	0.905608i	0.100907	−	0.0367272i
$609$	0.514039	−	2.91526i	0.0208299	−	0.118132i
$610$	0.967429	−	0.811770i	0.0391701	−	0.0328676i
$611$	9.03416	−	7.58056i	0.365483	−	0.306676i
$612$	7.56776	−	42.9189i	0.305909	−	1.73489i
$613$	16.8191	−	6.12164i	0.679315	−	0.247251i	0.0207619	−	0.999784i	$-0.493391\pi$
$613$	16.8191	−	6.12164i	0.679315	−	0.247251i	0.658554	+	0.752534i	$0.271169\pi$
$614$	−19.4450	+	7.07741i	−0.784738	+	0.285621i
$615$	−15.0181	−	26.0121i	−0.605588	−	1.04891i
$616$	−0.127840	−	0.725016i	−0.00515081	−	0.0292117i
$617$	8.37647	+	7.02869i	0.337224	+	0.282965i	0.795636	−	0.605775i	$-0.207137\pi$
$617$	8.37647	+	7.02869i	0.337224	+	0.282965i	−0.458412	+	0.888740i	$0.651581\pi$
$618$	8.83103	−	15.2958i	0.355236	−	0.615287i
$619$	4.66851	+	8.08610i	0.187643	+	0.325008i	0.944464	−	0.328615i	$-0.106582\pi$
$619$	4.66851	+	8.08610i	0.187643	+	0.325008i	−0.756821	+	0.653623i	$0.773248\pi$
$620$	0.195718	−	1.10997i	0.00786023	−	0.0445776i
$621$	40.9992	−	71.0127i	1.64524	−	2.84964i
$622$	10.5662	+	3.84579i	0.423666	+	0.154202i
$623$	0.320386			0.0128360
$624$	16.5326	+	6.01737i	0.661833	+	0.240888i
$625$	0.173648	+	0.984808i	0.00694593	+	0.0393923i
$626$	2.90686	−	2.43914i	0.116181	−	0.0974878i
$627$	23.2043	+	19.4708i	0.926692	+	0.777587i
$628$	−5.14550			−0.205328
$629$	32.5047	−	22.9583i	1.29605	−	0.915408i
$630$	−1.33248			−0.0530873
$631$	−15.0646	−	12.6407i	−0.599711	−	0.503217i	0.291642	−	0.956528i	$-0.405798\pi$
$631$	−15.0646	−	12.6407i	−0.599711	−	0.503217i	−0.891353	+	0.453310i	$0.850243\pi$
$632$	−3.17600	+	2.66498i	−0.126335	+	0.106007i
$633$	7.88104	+	44.6956i	0.313243	+	1.77649i
$634$	19.2051	+	6.99007i	0.762730	+	0.277611i
$635$	−10.4909			−0.416319
$636$	−29.3070	−	10.6669i	−1.16210	−	0.422968i
$637$	−19.6975	+	34.1171i	−0.780445	+	1.35177i
$638$	−3.04291	+	17.2572i	−0.120470	+	0.683219i
$639$	2.18973	+	3.79272i	0.0866244	+	0.150038i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	36.4925	+	30.6208i	1.44137	+	1.20945i	0.938591	+	0.345031i	$0.112132\pi$
$641$	36.4925	+	30.6208i	1.44137	+	1.20945i	0.502774	+	0.864418i	$0.332313\pi$
$642$	1.51336	+	8.58269i	0.0597275	+	0.338732i
$643$	−8.87978	−	15.3802i	−0.350184	−	0.606537i	0.636097	−	0.771609i	$-0.280548\pi$
$643$	−8.87978	−	15.3802i	−0.350184	−	0.606537i	−0.986282	+	0.165072i	$0.947214\pi$
$644$	1.35427	−	0.492914i	0.0533657	−	0.0194235i
$645$	−20.3815	+	7.41826i	−0.802521	+	0.292094i
$646$	−3.00806	+	17.0595i	−0.118350	+	0.671198i
$647$	−35.9367	+	30.1545i	−1.41282	+	1.18550i	−0.457760	+	0.889076i	$0.651348\pi$
$647$	−35.9367	+	30.1545i	−1.41282	+	1.18550i	−0.955058	+	0.296419i	$0.904207\pi$
$648$	−11.7900	+	9.89298i	−0.463155	+	0.388633i
$649$	−7.58292	+	43.0049i	−0.297656	+	1.68809i
$650$	−5.31887	+	1.93591i	−0.208623	+	0.0759326i
$651$	−0.658505	+	0.239676i	−0.0258088	+	0.00939365i
$652$	−3.05198	−	5.28618i	−0.119525	−	0.207023i
$653$	−2.92004	−	16.5604i	−0.114270	−	0.648057i	−0.987109	−	0.160049i	$-0.948835\pi$
$653$	−2.92004	−	16.5604i	−0.114270	−	0.648057i	0.872839	−	0.488008i	$-0.162276\pi$
$654$	−9.31980	−	7.82024i	−0.364433	−	0.305796i
$655$	−11.1540	+	19.3192i	−0.435821	+	0.754865i
$656$	−4.83162	−	8.36862i	−0.188643	−	0.326740i
$657$	13.2687	−	75.2503i	0.517660	−	2.93579i
$658$	−0.208382	+	0.360929i	−0.00812359	+	0.0140705i
$659$	13.2842	+	4.83504i	0.517477	+	0.188346i	0.587538	−	0.809196i	$-0.300097\pi$
$659$	13.2842	+	4.83504i	0.517477	+	0.188346i	−0.0700610	+	0.997543i	$0.522319\pi$
$660$	11.4400			0.445302
$661$	−23.6187	−	8.59650i	−0.918660	−	0.334365i	−0.160955	−	0.986962i	$-0.551457\pi$
$661$	−23.6187	−	8.59650i	−0.918660	−	0.334365i	−0.757705	+	0.652597i	$0.773680\pi$
$662$	−1.57197	−	8.91508i	−0.0610963	−	0.346494i
$663$	−88.1731	+	73.9860i	−3.42436	+	2.87338i
$664$	7.93726	+	6.66015i	0.308025	+	0.258464i
$665$	0.529638			0.0205385
$666$	−40.3800	−	3.36679i	−1.56469	−	0.130460i
$667$	−34.3038			−1.32825
$668$	4.78750	+	4.01719i	0.185234	+	0.155430i
$669$	14.6632	−	12.3039i	0.566911	−	0.475695i
$670$	−0.482707	−	2.73757i	−0.0186486	−	0.105761i
$671$	4.36774	+	1.58973i	0.168615	+	0.0613707i
$672$	−0.621745			−0.0239843
$673$	16.1938	+	5.89406i	0.624225	+	0.227199i	0.634716	−	0.772746i	$-0.281117\pi$
$673$	16.1938	+	5.89406i	0.624225	+	0.227199i	−0.0104908	+	0.999945i	$0.503339\pi$
$674$	−7.50870	+	13.0054i	−0.289224	+	0.500951i
$675$	1.97627	−	11.2080i	0.0760668	−	0.431396i
$676$	−9.51905	−	16.4875i	−0.366117	−	0.634134i
$677$	13.5669	−	23.4985i	0.521417	−	0.903120i	−0.478273	−	0.878211i	$-0.658737\pi$
$677$	13.5669	−	23.4985i	0.521417	−	0.903120i	0.999690	−	0.0249089i	$-0.00792957\pi$
$678$	24.8370	+	20.8408i	0.953861	+	0.800385i
$679$	−0.234442	−	1.32958i	−0.00899704	−	0.0510248i
$680$	3.27113	+	5.66576i	0.125442	+	0.217272i
$681$	−44.8827	+	16.3360i	−1.71991	+	0.625995i
$682$	3.89809	−	1.41879i	0.149266	−	0.0543282i
$683$	3.02680	−	17.1658i	0.115817	−	0.656832i	−0.870525	−	0.492124i	$-0.836221\pi$
$683$	3.02680	−	17.1658i	0.115817	−	0.656832i	0.986342	−	0.164708i	$-0.0526682\pi$
$684$	13.5118	−	11.3377i	0.516635	−	0.433509i
$685$	2.61575	−	2.19488i	0.0999428	−	0.0838620i
$686$	0.484893	−	2.74997i	0.0185133	−	0.104994i
$687$	−83.8182	+	30.5073i	−3.19786	+	1.16393i
$688$	−6.55715	+	2.38661i	−0.249989	+	0.0909885i
$689$	28.3966	+	49.1844i	1.08183	+	1.87378i
$690$	3.88884	+	22.0547i	0.148046	+	0.839609i
$691$	−13.1683	−	11.0495i	−0.500946	−	0.420343i	0.356984	−	0.934110i	$-0.383805\pi$
$691$	−13.1683	−	11.0495i	−0.500946	−	0.420343i	−0.857930	+	0.513767i	$0.828250\pi$
$692$	9.43644	−	16.3444i	0.358720	−	0.621321i
$693$	−2.45209	−	4.24714i	−0.0931471	−	0.161336i
$694$	−1.38532	+	7.85654i	−0.0525860	+	0.298230i
$695$	−5.78910	+	10.0270i	−0.219593	+	0.380346i
$696$	13.9066	+	5.06159i	0.527128	+	0.191859i
$697$	63.2194			2.39461
$698$	−1.38039	−	0.502421i	−0.0522486	−	0.0190169i
$699$	−15.1183	−	85.7401i	−0.571827	−	3.24299i
$700$	0.153230	−	0.128576i	0.00579156	−	0.00485970i
$701$	−27.2848	−	22.8946i	−1.03053	−	0.864719i	−0.0396176	−	0.999215i	$-0.512614\pi$
$701$	−27.2848	−	22.8946i	−1.03053	−	0.864719i	−0.990914	+	0.134496i	$0.957058\pi$
$702$	64.4184			2.43132
$703$	16.0504	+	1.33824i	0.605351	+	0.0504727i
$704$	3.68049			0.138714
$705$	−4.96107	−	4.16284i	−0.186845	−	0.156781i
$706$	−0.672781	+	0.564530i	−0.0253204	+	0.0212464i
$707$	−0.419428	−	2.37870i	−0.0157742	−	0.0894600i
$708$	34.6552	+	12.6135i	1.30242	+	0.474043i
$709$	−17.6023			−0.661068			−0.330534	−	0.943794i	$-0.607229\pi$
$709$	−17.6023			−0.661068			−0.330534	+	0.943794i	$0.607229\pi$
$710$	−0.617784	−	0.224855i	−0.0231850	−	0.00843865i
$711$	−13.8091	+	23.9181i	−0.517883	+	0.897000i
$712$	−0.278133	+	1.57737i	−0.0104235	+	0.0591145i
$713$	4.06031	+	7.03267i	0.152060	+	0.263376i
$714$	2.03381	−	3.52266i	0.0761133	−	0.131832i
$715$	−15.9585	−	13.3908i	−0.596815	−	0.500787i
$716$	−4.03015	−	22.8561i	−0.150614	−	0.854174i
$717$	36.6280	+	63.4415i	1.36790	+	2.36927i
$718$	−14.5494	+	5.29553i	−0.542977	+	0.197627i
$719$	18.5736	−	6.76025i	0.692680	−	0.252115i	0.0283976	−	0.999597i	$-0.490960\pi$
$719$	18.5736	−	6.76025i	0.692680	−	0.252115i	0.664282	+	0.747482i	$0.268737\pi$
$720$	1.15675	−	6.56026i	0.0431096	−	0.244487i
$721$	0.870692	−	0.730597i	0.0324263	−	0.0272089i
$722$	9.18415	−	7.70641i	0.341799	−	0.286803i
$723$	−10.3449	+	58.6686i	−0.384729	+	2.18191i
$724$	−15.4298	+	5.61599i	−0.573444	+	0.208717i
$725$	−4.47403	+	1.62842i	−0.166161	+	0.0604778i
$726$	3.95683	+	6.85343i	0.146852	+	0.254355i
$727$	6.56615	+	37.2385i	0.243525	+	1.38110i	0.823893	+	0.566745i	$0.191798\pi$
$727$	6.56615	+	37.2385i	0.243525	+	1.38110i	−0.580368	+	0.814354i	$0.697091\pi$
$728$	0.867317	+	0.727766i	0.0321449	+	0.0269728i
$729$	1.80025	−	3.11812i	0.0666759	−	0.115486i
$730$	5.73531	+	9.93385i	0.212273	+	0.367668i
$731$	7.92733	−	44.9581i	0.293203	−	1.66284i
$732$	1.96271	−	3.39952i	0.0725440	−	0.125650i
$733$	−25.2342	−	9.18449i	−0.932046	−	0.339237i	−0.169026	−	0.985612i	$-0.554062\pi$
$733$	−25.2342	−	9.18449i	−0.932046	−	0.339237i	−0.763020	+	0.646375i	$0.776284\pi$
$734$	−18.7821			−0.693260
$735$	20.3290	+	7.39915i	0.749846	+	0.272922i
$736$	1.25112	+	7.09546i	0.0461169	+	0.261542i
$737$	7.83741	−	6.57636i	0.288695	−	0.242244i
$738$	−49.3114	−	41.3771i	−1.81518	−	1.52311i
$739$	−15.7308			−0.578667			−0.289333	−	0.957228i	$-0.593434\pi$
$739$	−15.7308			−0.578667			−0.289333	+	0.957228i	$0.593434\pi$
$740$	4.96843	−	3.50924i	0.182643	−	0.129002i
$741$	−46.5847			−1.71133
$742$	−1.53747	−	1.29009i	−0.0564425	−	0.0473609i
$743$	32.0125	−	26.8617i	1.17443	−	0.985460i	0.174426	−	0.984670i	$-0.444193\pi$
$743$	32.0125	−	26.8617i	1.17443	−	0.985460i	1.00000		0.000790124i	$-0.000251504\pi$
$744$	−0.608349	−	3.45012i	−0.0223031	−	0.126487i
$745$	9.57898	+	3.48646i	0.350947	+	0.127734i
$746$	31.0020			1.13507
$747$	64.8593	+	23.6068i	2.37308	+	0.863729i
$748$	−12.0393	+	20.8527i	−0.440202	+	0.762452i
$749$	−0.0973893	+	0.552322i	−0.00355853	+	0.0201814i
$750$	1.55415	+	2.69186i	0.0567494	+	0.0982928i
$751$	8.81250	−	15.2637i	0.321573	−	0.556980i	−0.659240	−	0.751933i	$-0.729122\pi$
$751$	8.81250	−	15.2637i	0.321573	−	0.556980i	0.980813	+	0.194952i	$0.0624552\pi$
$752$	−1.59608	−	1.33927i	−0.0582030	−	0.0488381i
$753$	13.8574	+	78.5890i	0.504991	+	2.86394i
$754$	−13.4746	−	23.3387i	−0.490717	−	0.849947i
$755$	−5.41587	+	1.97122i	−0.197104	+	0.0717399i
$756$	−2.13921	+	0.778608i	−0.0778023	+	0.0283177i
$757$	7.52850	−	42.6962i	0.273628	−	1.55182i	−0.469659	−	0.882848i	$-0.655623\pi$
$757$	7.52850	−	42.6962i	0.273628	−	1.55182i	0.743287	−	0.668973i	$-0.233266\pi$
$758$	25.7337	−	21.5931i	0.934689	−	0.784297i
$759$	−63.1407	+	52.9814i	−2.29186	+	1.92310i
$760$	−0.459789	+	2.60759i	−0.0166783	+	0.0945873i
$761$	−28.8158	+	10.4881i	−1.04457	+	0.380193i	−0.806611	−	0.591082i	$-0.798701\pi$
$761$	−28.8158	+	10.4881i	−1.04457	+	0.380193i	−0.237960	+	0.971275i	$0.576479\pi$
$762$	−30.6423	+	11.1529i	−1.11005	+	0.404026i
$763$	−0.391464	−	0.678035i	−0.0141719	−	0.0245465i
$764$	−0.0463802	−	0.263035i	−0.00167798	−	0.00951629i
$765$	33.3850	+	28.0133i	1.20704	+	1.01282i
$766$	−15.6903	+	27.1763i	−0.566912	+	0.981921i
$767$	−33.5787	−	58.1601i	−1.21246	−	2.10004i
$768$	0.539749	−	3.06107i	0.0194765	−	0.110457i
$769$	−22.4197	+	38.8321i	−0.808476	+	1.40032i	0.105443	+	0.994425i	$0.466374\pi$
$769$	−22.4197	+	38.8321i	−0.808476	+	1.40032i	−0.913919	+	0.405897i	$0.866959\pi$
$770$	0.691802	+	0.251795i	0.0249308	+	0.00907408i
$771$	70.3427			2.53333
$772$	6.97381	+	2.53826i	0.250993	+	0.0913540i
$773$	−4.04165	−	22.9214i	−0.145368	−	0.824424i	−0.967071	−	0.254508i	$-0.918087\pi$
$773$	−4.04165	−	22.9214i	−0.145368	−	0.824424i	0.821703	−	0.569917i	$-0.193024\pi$
$774$	−35.6084	+	29.8790i	−1.27992	+	1.07398i
$775$	0.863405	+	0.724483i	0.0310144	+	0.0260242i
$776$	6.74953			0.242294
$777$	−3.43408	−	1.58431i	−0.123197	−	0.0568368i
$778$	−25.6865			−0.920905
$779$	19.6004	+	16.4467i	0.702258	+	0.589264i
$780$	−13.4775	+	11.3090i	−0.482571	+	0.404925i
$781$	−0.420171	−	2.38291i	−0.0150349	−	0.0852672i
$782$	−44.2937	−	16.1216i	−1.58394	−	0.576507i
$783$	54.1864			1.93646
$784$	6.54025	+	2.38046i	0.233580	+	0.0850163i
$785$	2.57275	−	4.45614i	0.0918255	−	0.159046i
$786$	−12.0407	+	68.2861i	−0.429477	+	2.43568i
$787$	19.2313	+	33.3096i	0.685522	+	1.18736i	0.973272	+	0.229654i	$0.0737593\pi$
$787$	19.2313	+	33.3096i	0.685522	+	1.18736i	−0.287750	+	0.957705i	$0.592907\pi$
$788$	−2.47272	+	4.28288i	−0.0880870	+	0.152571i
$789$	63.7895	+	53.5257i	2.27097	+	1.90557i
$790$	−0.719941	−	4.08299i	−0.0256144	−	0.145266i
$791$	1.04324	+	1.80695i	0.0370934	+	0.0642477i
$792$	23.0389	−	8.38546i	0.818650	−	0.297964i
$793$	−6.71714	+	2.44484i	−0.238533	+	0.0868188i
$794$	3.16960	−	17.9757i	0.112485	−	0.637933i
$795$	23.8912	−	20.0471i	0.847335	−	0.710999i
$796$	10.5347	−	8.83963i	0.373391	−	0.313312i
$797$	−1.98844	+	11.2770i	−0.0704341	+	0.399452i	0.929125	+	0.369765i	$0.120562\pi$
$797$	−1.98844	+	11.2770i	−0.0704341	+	0.399452i	−0.999559	+	0.0296863i	$0.990549\pi$
$798$	1.54699	−	0.563057i	0.0547627	−	0.0199320i
$799$	12.8089	−	4.66208i	0.453148	−	0.164932i
$800$	0.500000	+	0.866025i	0.0176777	+	0.0306186i
$801$	1.85277	+	10.5076i	0.0654645	+	0.371268i
$802$	0.838991	+	0.703997i	0.0296258	+	0.0248590i
$803$	−21.1087	+	36.5614i	−0.744911	+	1.29022i
$804$	−4.32021	−	7.48282i	−0.152362	−	0.263899i
$805$	−0.250259	+	1.41929i	−0.00882047	+	0.0500234i
$806$	−3.18981	+	5.52491i	−0.112356	+	0.194606i
$807$	−13.6718	−	4.97612i	−0.481269	−	0.175168i
$808$	12.0753			0.424806
$809$	9.50670	+	3.46016i	0.334238	+	0.121653i	0.503687	−	0.863886i	$-0.331977\pi$
$809$	9.50670	+	3.46016i	0.334238	+	0.121653i	−0.169449	+	0.985539i	$0.554199\pi$
$810$	−2.67257	−	15.1569i	−0.0939047	−	0.532560i
$811$	11.7750	−	9.88041i	0.413477	−	0.346948i	−0.412198	−	0.911094i	$-0.635239\pi$
$811$	11.7750	−	9.88041i	0.413477	−	0.346948i	0.825675	+	0.564146i	$0.190795\pi$
$812$	0.729555	+	0.612170i	0.0256024	+	0.0214829i
$813$	4.13509			0.145024
$814$	20.3284	+	9.37849i	0.712511	+	0.328716i
$815$	6.10395			0.213812
$816$	15.5777	+	13.0712i	0.545328	+	0.457585i
$817$	14.1537	−	11.8764i	0.495177	−	0.415503i
$818$	−2.33640	−	13.2504i	−0.0816904	−	0.463289i
$819$	7.08728	+	2.57956i	0.247650	+	0.0901371i
$820$	9.66325			0.337455
$821$	−26.7732	−	9.74464i	−0.934391	−	0.340090i	−0.170442	−	0.985368i	$-0.554520\pi$
$821$	−26.7732	−	9.74464i	−0.934391	−	0.340090i	−0.763948	+	0.645277i	$0.776742\pi$
$822$	5.30682	−	9.19168i	0.185097	−	0.320597i
$823$	2.66354	−	15.1057i	0.0928451	−	0.526551i	−0.902541	−	0.430603i	$-0.858301\pi$
$823$	2.66354	−	15.1057i	0.0928451	−	0.526551i	0.995386	−	0.0959476i	$-0.0305881\pi$
$824$	2.84112	+	4.92097i	0.0989752	+	0.171430i
$825$	−5.72001	+	9.90735i	−0.199145	+	0.344930i
$826$	1.81805	+	1.52553i	0.0632581	+	0.0530798i
$827$	6.09864	+	34.5871i	0.212070	+	1.20271i	0.885919	+	0.463841i	$0.153529\pi$
$827$	6.09864	+	34.5871i	0.212070	+	1.20271i	−0.673848	+	0.738870i	$0.735360\pi$
$828$	23.9977	+	41.5652i	0.833976	+	1.44449i
$829$	37.6741	−	13.7122i	1.30847	−	0.476246i	0.408727	−	0.912657i	$-0.365973\pi$
$829$	37.6741	−	13.7122i	1.30847	−	0.476246i	0.899748	+	0.436411i	$0.143751\pi$
$830$	−9.73649	+	3.54379i	−0.337958	+	0.123007i
$831$	0.00163352	−	0.00926413i	5.66661e−5	−	0.000321369i
$832$	−4.33598	+	3.63832i	−0.150323	+	0.126136i
$833$	−34.8811	+	29.2687i	−1.20856	+	1.01410i
$834$	−6.24932	+	35.4416i	−0.216396	+	1.22724i
$835$	−5.87274	+	2.13750i	−0.203235	+	0.0739714i
$836$	−9.15755	+	3.33308i	−0.316721	+	0.115277i
$837$	−6.41368	−	11.1088i	−0.221689	−	0.383977i
$838$	−0.135347	−	0.767590i	−0.00467548	−	0.0265159i
$839$	27.8653	+	23.3818i	0.962017	+	0.807228i	0.981280	−	0.192587i	$-0.0616876\pi$
$839$	27.8653	+	23.3818i	0.962017	+	0.807228i	−0.0192633	+	0.999814i	$0.506132\pi$
$840$	0.310872	−	0.538447i	0.0107261	−	0.0185782i
$841$	3.16564	+	5.48305i	0.109160	+	0.189071i
$842$	4.62860	−	26.2501i	0.159512	−	0.904639i
$843$	28.7829	−	49.8534i	0.991334	−	1.71704i
$844$	−13.7207	−	4.99394i	−0.472287	−	0.171899i
$845$	19.0381			0.654930
$846$	−13.0424	−	4.74703i	−0.448405	−	0.163206i
$847$	0.0884335	+	0.501532i	0.00303861	+	0.0172328i
$848$	7.68630	−	6.44957i	0.263949	−	0.221479i
$849$	−47.9421	−	40.2282i	−1.64537	−	1.38063i
$850$	−6.54225			−0.224397
$851$	−11.1701	+	42.3784i	−0.382905	+	1.45271i
$852$	−2.04349			−0.0700088
$853$	−20.5905	−	17.2775i	−0.705005	−	0.591569i	0.218188	−	0.975907i	$-0.429985\pi$
$853$	−20.5905	−	17.2775i	−0.705005	−	0.591569i	−0.923193	+	0.384338i	$0.874430\pi$
$854$	0.193513	−	0.162377i	0.00662188	−	0.00555641i
$855$	3.06287	+	17.3704i	0.104748	+	0.594055i
$856$	−2.63473	−	0.958963i	−0.0900532	−	0.0327767i
$857$	−44.9203			−1.53445			−0.767224	−	0.641380i	$-0.778362\pi$
$857$	−44.9203			−1.53445			−0.767224	+	0.641380i	$0.778362\pi$
$858$	−60.8480	−	22.1468i	−2.07732	−	0.756081i
$859$	−10.8775	+	18.8404i	−0.371136	+	0.642827i	−0.989741	−	0.142876i	$-0.954365\pi$
$859$	−10.8775	+	18.8404i	−0.371136	+	0.642827i	0.618604	+	0.785703i	$0.287698\pi$
$860$	1.21171	−	6.87196i	0.0413190	−	0.234332i
$861$	−3.00404	−	5.20315i	−0.102377	−	0.177323i
$862$	17.8630	−	30.9397i	0.608417	−	1.05381i
$863$	−38.6665	−	32.4451i	−1.31622	−	1.10444i	−0.987091	−	0.160159i	$-0.948799\pi$
$863$	−38.6665	−	32.4451i	−1.31622	−	1.10444i	−0.329133	−	0.944284i	$-0.606756\pi$
$864$	−1.97627	−	11.2080i	−0.0672342	−	0.381304i
$865$	9.43644	+	16.3444i	0.320849	+	0.555726i
$866$	14.1519	−	5.15087i	0.480901	−	0.175034i
$867$	−75.3608	+	27.4291i	−2.55939	+	0.931540i
$868$	0.0391491	−	0.222026i	0.00132881	−	0.00753604i
$869$	11.6892	−	9.80843i	0.396530	−	0.332728i
$870$	−11.3368	+	9.51267i	−0.384352	+	0.322510i
$871$	−2.73223	+	15.4952i	−0.0925780	+	0.525036i
$872$	3.67804	−	1.33870i	0.124554	−	0.0453340i
$873$	42.2503	−	15.3778i	1.42996	−	0.520461i
$874$	−9.53866	−	16.5214i	−0.322650	−	0.558846i
$875$	0.0347345	+	0.196989i	0.00117424	+	0.00665945i
$876$	27.3126	+	22.9180i	0.922806	+	0.774326i
$877$	24.4839	−	42.4073i	0.826762	−	1.43199i	−0.0738035	−	0.997273i	$-0.523514\pi$
$877$	24.4839	−	42.4073i	0.826762	−	1.43199i	0.900565	−	0.434721i	$-0.143153\pi$
$878$	9.92689	+	17.1939i	0.335016	+	0.580265i
$879$	−4.59521	+	26.0607i	−0.154993	+	0.879007i
$880$	−1.84024	+	3.18740i	−0.0620346	+	0.107447i
$881$	−33.6565	−	12.2500i	−1.13392	−	0.412712i	−0.294204	−	0.955743i	$-0.595054\pi$
$881$	−33.6565	−	12.2500i	−1.13392	−	0.412712i	−0.839713	+	0.543031i	$0.817277\pi$
$882$	46.3637			1.56115
$883$	47.7640	+	17.3847i	1.60739	+	0.585041i	0.980921	−	0.194407i	$-0.0622782\pi$
$883$	47.7640	+	17.3847i	1.60739	+	0.585041i	0.626467	+	0.779448i	$0.284500\pi$
$884$	−6.43030	−	36.4680i	−0.216274	−	1.22655i
$885$	−28.2512	+	23.7056i	−0.949653	+	0.796854i
$886$	−15.6340	−	13.1184i	−0.525233	−	0.440723i
$887$	33.4434			1.12292			0.561460	−	0.827504i	$-0.310240\pi$
$887$	33.4434			1.12292			0.561460	+	0.827504i	$0.310240\pi$
$888$	10.7813	−	15.5318i	0.361797	−	0.521214i
$889$	−2.09848			−0.0703807
$890$	−1.22698	−	1.02956i	−0.0411283	−	0.0345108i
$891$	43.3929	−	36.4110i	1.45372	−	1.21981i
$892$	1.06936	+	6.06462i	0.0358047	+	0.203059i
$893$	5.18411	+	1.88686i	0.173480	+	0.0631415i
$894$	31.6851			1.05971
$895$	21.8091	+	7.93785i	0.728997	+	0.265333i
$896$	0.100014	−	0.173229i	0.00334123	−	0.00578718i
$897$	22.0117	−	124.835i	0.734950	−	4.16811i
$898$	13.1748	+	22.8194i	0.439647	+	0.761492i
$899$	−2.68315	+	4.64735i	−0.0894879	+	0.154998i
$900$	5.10298	+	4.28191i	0.170099	+	0.142730i
$901$	11.3988	+	64.6461i	0.379751	+	2.15367i
$902$	17.7827	+	30.8006i	0.592100	+	1.02555i
$903$	−4.07687	+	1.48386i	−0.135670	+	0.0493798i
$904$	−9.80190	+	3.56760i	−0.326006	+	0.118657i
$905$	2.85131	−	16.1706i	0.0947808	−	0.537529i
$906$	−13.7233	+	11.5152i	−0.455926	+	0.382567i
$907$	32.2603	−	27.0696i	1.07119	−	0.898832i	0.0760271	−	0.997106i	$-0.475776\pi$
$907$	32.2603	−	27.0696i	1.07119	−	0.898832i	0.995159	+	0.0982735i	$0.0313320\pi$
$908$	2.66834	−	15.1329i	0.0885520	−	0.502204i
$909$	75.5879	−	27.5117i	2.50709	−	0.912507i
$910$	−1.06392	+	0.387236i	−0.0352687	+	0.0128367i
$911$	6.29814	+	10.9087i	0.208667	+	0.361421i	0.951295	−	0.308283i	$-0.0997543\pi$
$911$	6.29814	+	10.9087i	0.208667	+	0.361421i	−0.742628	+	0.669704i	$0.766421\pi$
$912$	1.42916	+	8.10516i	0.0473241	+	0.268389i
$913$	−29.2130	−	24.5126i	−0.966808	−	0.811248i
$914$	9.62539	−	16.6717i	0.318380	−	0.551450i
$915$	1.96271	+	3.39952i	0.0648853	+	0.112385i
$916$	4.98312	−	28.2607i	0.164647	−	0.933758i
$917$	−2.23110	+	3.86439i	−0.0736775	+	0.127613i
$918$	69.9665	+	25.4657i	2.30924	+	0.840494i
$919$	−5.51713			−0.181993			−0.0909966	−	0.995851i	$-0.529005\pi$
$919$	−5.51713			−0.181993			−0.0909966	+	0.995851i	$0.529005\pi$
$920$	−6.77040	−	2.46423i	−0.223214	−	0.0812431i
$921$	−11.1690	−	63.3426i	−0.368031	−	2.08721i
$922$	0.721309	−	0.605250i	0.0237550	−	0.0199328i
$923$	2.85061	+	2.39195i	0.0938290	+	0.0787319i
$924$	2.28832			0.0752803
$925$	0.554875	+	6.05740i	0.0182442	+	0.199166i
$926$	2.99006			0.0982593
$927$	28.9964	+	24.3309i	0.952366	+	0.799130i
$928$	−3.64727	+	3.06042i	−0.119727	+	0.100463i
$929$	4.13359	+	23.4428i	0.135619	+	0.769132i	0.974427	+	0.224705i	$0.0721419\pi$
$929$	4.13359	+	23.4428i	0.135619	+	0.769132i	−0.838808	+	0.544427i	$0.816747\pi$
$930$	3.29206	+	1.19821i	0.107951	+	0.0392910i
$931$	−18.4288			−0.603979
$932$	26.3207	+	9.57994i	0.862162	+	0.313801i
$933$	−17.4753	+	30.2681i	−0.572116	+	0.990934i
$934$	−3.69471	+	20.9537i	−0.120894	+	0.685627i
$935$	−12.0393	−	20.8527i	−0.393729	−	0.681958i
$936$	−18.8527	+	32.6538i	−0.616219	+	1.06732i
$937$	−14.4589	−	12.1325i	−0.472352	−	0.396350i	0.375300	−	0.926903i	$-0.377540\pi$
$937$	−14.4589	−	12.1325i	−0.472352	−	0.396350i	−0.847652	+	0.530553i	$0.821984\pi$
$938$	−0.0965548	−	0.547590i	−0.00315263	−	0.0178794i
$939$	5.89741	+	10.2146i	0.192455	+	0.333342i
$940$	1.95788	−	0.712610i	0.0638590	−	0.0232428i
$941$	25.8497	−	9.40853i	0.842677	−	0.306709i	0.115626	−	0.993293i	$-0.463113\pi$
$941$	25.8497	−	9.40853i	0.842677	−	0.306709i	0.727051	+	0.686583i	$0.240890\pi$
$942$	2.77728	−	15.7507i	0.0904887	−	0.513187i
$943$	−53.3342	+	44.7527i	−1.73680	+	1.45735i
$944$	−9.08898	+	7.62656i	−0.295821	+	0.248223i
$945$	0.395310	−	2.24191i	0.0128594	−	0.0729295i
$946$	24.1335	−	8.78387i	0.784648	−	0.285588i
$947$	−29.9699	+	10.9082i	−0.973891	+	0.354467i	−0.779462	−	0.626449i	$-0.784508\pi$
$947$	−29.9699	+	10.9082i	−0.973891	+	0.354467i	−0.194429	+	0.980917i	$0.562285\pi$
$948$	−6.44345	−	11.1604i	−0.209274	−	0.362472i
$949$	−11.2743	−	63.9399i	−0.365980	−	2.07558i
$950$	−2.02835	−	1.70199i	−0.0658083	−	0.0552197i
$951$	−31.7630	+	55.0151i	−1.02999	+	1.78399i
$952$	0.654317	+	1.13331i	0.0212065	+	0.0367308i
$953$	−3.83062	+	21.7245i	−0.124086	+	0.703726i	0.857761	+	0.514049i	$0.171855\pi$
$953$	−3.83062	+	21.7245i	−0.124086	+	0.703726i	−0.981847	+	0.189677i	$0.939256\pi$
$954$	33.4198	−	57.8847i	1.08200	−	1.87409i
$955$	0.250985	+	0.0913512i	0.00812170	+	0.00295606i
$956$	−23.5679			−0.762241
$957$	−51.1831	−	18.6291i	−1.65451	−	0.602194i
$958$	−3.13188	−	17.7617i	−0.101186	−	0.573856i
$959$	0.523224	−	0.439037i	0.0168958	−	0.0141772i
$960$	2.38109	+	1.99797i	0.0768493	+	0.0644842i
$961$	−29.7297			−0.959021
$962$	−33.2200	+	9.04674i	−1.07105	+	0.291679i
$963$	−18.6776			−0.601876
$964$	−14.6820	−	12.3197i	−0.472877	−	0.396791i
$965$	−5.68511	+	4.77037i	−0.183010	+	0.153564i
$966$	0.777878	+	4.41156i	0.0250278	+	0.141940i
$967$	20.8476	+	7.58792i	0.670415	+	0.244011i	0.654727	−	0.755866i	$-0.272784\pi$
$967$	20.8476	+	7.58792i	0.670415	+	0.244011i	0.0156885	+	0.999877i	$0.495006\pi$
$968$	−2.54599			−0.0818311
$969$	−50.5968	−	18.4157i	−1.62540	−	0.591599i
$970$	−3.37477	+	5.84527i	−0.108357	+	0.187680i
$971$	−3.44693	+	19.5485i	−0.110617	+	0.627342i	0.878210	+	0.478276i	$0.158738\pi$
$971$	−3.44693	+	19.5485i	−0.110617	+	0.627342i	−0.988827	+	0.149067i	$0.952373\pi$
$972$	−6.84810	−	11.8612i	−0.219653	−	0.380450i
$973$	−1.15798	+	2.00568i	−0.0371232	+	0.0642992i
$974$	12.2986	+	10.3198i	0.394073	+	0.330667i
$975$	−3.05510	−	17.3263i	−0.0978414	−	0.554886i
$976$	0.631445	+	1.09369i	0.0202120	+	0.0350083i
$977$	36.0346	−	13.1155i	1.15285	−	0.419603i	0.306311	−	0.951931i	$-0.400905\pi$
$977$	36.0346	−	13.1155i	1.15285	−	0.419603i	0.846538	+	0.532329i	$0.178683\pi$
$978$	17.8286	−	6.48910i	0.570097	−	0.207498i
$979$	1.02366	−	5.80549i	0.0327165	−	0.185544i
$980$	−5.33166	+	4.47379i	−0.170314	+	0.142910i
$981$	19.9735	−	16.7598i	0.637706	−	0.535099i
$982$	2.97217	−	16.8560i	0.0948457	−	0.537897i
$983$	32.0611	−	11.6693i	1.02259	−	0.372192i	0.224335	−	0.974512i	$-0.427979\pi$
$983$	32.0611	−	11.6693i	1.02259	−	0.372192i	0.798255	+	0.602320i	$0.205757\pi$
$984$	28.2248	−	10.2730i	0.899773	−	0.327491i
$985$	−2.47272	−	4.28288i	−0.0787874	−	0.136464i
$986$	−5.40893	−	30.6755i	−0.172255	−	0.976908i
$987$	−0.992354	−	0.832684i	−0.0315870	−	0.0265046i
$988$	7.49362	−	12.9793i	0.238404	−	0.412928i
$989$	25.1378	+	43.5400i	0.799337	+	1.38449i
$990$	−4.25741	+	24.1450i	−0.135309	+	0.767378i
$991$	8.52474	−	14.7653i	0.270797	−	0.469035i	−0.698269	−	0.715836i	$-0.746046\pi$
$991$	8.52474	−	14.7653i	0.270797	−	0.469035i	0.969066	+	0.246801i	$0.0793794\pi$
$992$	1.05912	+	0.385489i	0.0336272	+	0.0122393i
$993$	28.1381			0.892936
$994$	−0.123574	−	0.0449773i	−0.00391953	−	0.00142659i
$995$	2.38801	+	13.5431i	0.0757051	+	0.429345i
$996$	−24.6713	+	20.7017i	−0.781740	+	0.655958i
$997$	−34.8072	−	29.2067i	−1.10235	−	0.924986i	−0.104774	−	0.994496i	$-0.533412\pi$
$997$	−34.8072	−	29.2067i	−1.10235	−	0.924986i	−0.997581	+	0.0695106i	$0.977856\pi$
$998$	10.4440			0.330598
$999$	17.6443	−	66.9410i	0.558241	−	2.11792i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.71.4	✓	24
37.12	even	9	inner	370.2.o.c.271.4	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.71.4	✓	24	1.1	even	1	trivial
370.2.o.c.271.4	yes	24	37.12	even	9	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(2.38109 - 1.99797i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.939693 - 0.342020i) q^{5} -3.10829 q^{6} +(-0.187965 - 0.0684136i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.15675 - 6.56026i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(2.38109 - 1.99797i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.939693 - 0.342020i) q^{5} -3.10829 q^{6} +(-0.187965 - 0.0684136i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.15675 - 6.56026i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-1.84024 + 3.18740i) q^{11} +(2.38109 + 1.99797i) q^{12} +(-0.982887 - 5.57423i) q^{13} +(0.100014 + 0.173229i) q^{14} +(-2.92084 + 1.06310i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.13605 - 6.44286i) q^{17} +(-5.10298 + 4.28191i) q^{18} +(2.02835 - 1.70199i) q^{19} +(0.173648 - 0.984808i) q^{20} +(-0.584249 + 0.212649i) q^{21} +(3.45853 - 1.25880i) q^{22} +(3.60246 + 6.23964i) q^{23} +(-0.539749 - 3.06107i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-2.83011 + 4.90189i) q^{26} +(-5.69045 - 9.85615i) q^{27} +(0.0347345 - 0.196989i) q^{28} +(-2.38058 + 4.12329i) q^{29} +(2.92084 + 1.06310i) q^{30} +1.12710 q^{31} +(0.939693 + 0.342020i) q^{32} +(1.98654 + 11.2662i) q^{33} +(-5.01166 + 4.20528i) q^{34} +(0.153230 + 0.128576i) q^{35} +6.66147 q^{36} +(4.31868 + 4.28357i) q^{37} -2.64782 q^{38} +(-13.4775 - 11.3090i) q^{39} +(-0.766044 + 0.642788i) q^{40} +(1.67801 + 9.51644i) q^{41} +(0.584249 + 0.212649i) q^{42} +6.97797 q^{43} +(-3.45853 - 1.25880i) q^{44} +(-3.33073 + 5.76900i) q^{45} +(1.25112 - 7.09546i) q^{46} +(1.04177 + 1.80439i) q^{47} +(-1.55415 + 2.69186i) q^{48} +(-5.33166 - 4.47379i) q^{49} +(-0.173648 - 0.984808i) q^{50} +(-10.1676 - 17.6108i) q^{51} +(5.31887 - 1.93591i) q^{52} +(-9.42864 + 3.43174i) q^{53} +(-1.97627 + 11.2080i) q^{54} +(2.81942 - 2.36577i) q^{55} +(-0.153230 + 0.128576i) q^{56} +(1.42916 - 8.10516i) q^{57} +(4.47403 - 1.62842i) q^{58} +(11.1493 - 4.05801i) q^{59} +(-1.55415 - 2.69186i) q^{60} +(-0.219298 - 1.24370i) q^{61} +(-0.863405 - 0.724483i) q^{62} +(-0.666240 + 1.15396i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.982887 + 5.57423i) q^{65} +(5.72001 - 9.90735i) q^{66} +(-2.61215 - 0.950747i) q^{67} +6.54225 q^{68} +(21.0444 + 7.65953i) q^{69} +(-0.0347345 - 0.196989i) q^{70} +(-0.503622 + 0.422589i) q^{71} +(-5.10298 - 4.28191i) q^{72} +11.4706 q^{73} +(-0.554875 - 6.05740i) q^{74} +3.10829 q^{75} +(2.02835 + 1.70199i) q^{76} +(0.563962 - 0.473220i) q^{77} +(3.05510 + 17.3263i) q^{78} +(-3.89594 - 1.41801i) q^{79} +1.00000 q^{80} +(-14.4626 - 5.26394i) q^{81} +(4.83162 - 8.36862i) q^{82} +(-1.79923 + 10.2039i) q^{83} +(-0.310872 - 0.538447i) q^{84} +(-3.27113 + 5.66576i) q^{85} +(-5.34543 - 4.48535i) q^{86} +(2.56984 + 14.5743i) q^{87} +(1.84024 + 3.18740i) q^{88} +(-1.50511 + 0.547815i) q^{89} +(6.25973 - 2.27836i) q^{90} +(-0.196605 + 1.11500i) q^{91} +(-5.51928 + 4.63123i) q^{92} +(2.68371 - 2.25190i) q^{93} +(0.361802 - 2.05188i) q^{94} +(-2.48814 + 0.905608i) q^{95} +(2.92084 - 1.06310i) q^{96} +(3.37477 + 5.84527i) q^{97} +(1.20859 + 6.85425i) q^{98} +(18.7815 + 15.7595i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

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