LMFDB - Embedded newform 390.2.bn.c.97.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(67,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(390, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("390.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bn (of order $12$, degree $4$, 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:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.6
Character	$\chi$	$=$	390.97
Dual form			390.2.bn.c.193.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-1.45481 - 1.69810i) q^{10} +(-5.23449 + 1.40258i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.36345 + 1.29893i) q^{13} -0.0686422i q^{14} +(-2.22944 - 0.172035i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.28606 - 0.880498i) q^{17} -1.00000i q^{18} +(-0.295488 + 1.10278i) q^{19} +(2.19800 - 0.410849i) q^{20} +(-0.0485374 - 0.0485374i) q^{21} +(1.40258 - 5.23449i) q^{22} +(-1.72731 + 0.462831i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-3.89532 - 3.13472i) q^{25} +(-2.80663 + 2.26336i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(0.0594459 + 0.0343211i) q^{28} +(3.37291 + 1.94735i) q^{29} +(1.26371 - 1.84473i) q^{30} +(-2.29267 + 2.29267i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-2.70957 - 4.69312i) q^{33} +(2.40557 - 2.40557i) q^{34} +(-0.0282016 - 0.150876i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-3.81454 - 2.20233i) q^{37} +(-0.807288 - 0.807288i) q^{38} +(-0.384149 + 3.58503i) q^{39} +(-0.743195 + 2.10895i) q^{40} +(1.47354 + 5.49931i) q^{41} +(0.0663033 - 0.0177659i) q^{42} +(2.29321 - 8.55839i) q^{43} +(3.83191 + 3.83191i) q^{44} +(-0.410849 - 2.19800i) q^{45} +(0.462831 - 1.72731i) q^{46} +9.48215i q^{47} +(-0.965926 - 0.258819i) q^{48} +(-3.49764 + 6.05810i) q^{49} +(4.66241 - 1.80609i) q^{50} -3.40198i q^{51} +(-0.556815 - 3.56230i) q^{52} +(5.48446 - 5.48446i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.932283 - 12.0817i) q^{55} +(-0.0594459 + 0.0343211i) q^{56} -1.14168 q^{57} +(-3.37291 + 1.94735i) q^{58} +(5.49573 + 1.47258i) q^{59} +(0.965733 + 2.01677i) q^{60} +(3.87879 + 6.71827i) q^{61} +(-0.839174 - 3.13184i) q^{62} +(0.0343211 - 0.0594459i) q^{63} +1.00000 q^{64} +(-5.23908 + 6.12797i) q^{65} +5.41914 q^{66} +(-0.519343 + 0.899528i) q^{67} +(0.880498 + 3.28606i) q^{68} +(-0.894121 - 1.54866i) q^{69} +(0.144763 + 0.0510145i) q^{70} +(-5.00578 - 1.34130i) q^{71} +(-0.866025 + 0.500000i) q^{72} +11.8364 q^{73} +(3.81454 - 2.20233i) q^{74} +(2.01972 - 4.57392i) q^{75} +(1.10278 - 0.295488i) q^{76} +(0.263031 - 0.263031i) q^{77} +(-2.91265 - 2.12520i) q^{78} +11.5811i q^{79} +(-1.45481 - 1.69810i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-5.49931 - 1.47354i) q^{82} +4.93743i q^{83} +(-0.0177659 + 0.0663033i) q^{84} +(4.29911 - 6.27576i) q^{85} +(6.26518 + 6.26518i) q^{86} +(-1.00802 + 3.76199i) q^{87} +(-5.23449 + 1.40258i) q^{88} +(0.0552889 + 0.206341i) q^{89} +(2.10895 + 0.743195i) q^{90} +(-0.244524 + 0.0382210i) q^{91} +(1.26448 + 1.26448i) q^{92} +(-2.80793 - 1.62116i) q^{93} +(-8.21179 - 4.74108i) q^{94} +(-2.10609 - 1.44275i) q^{95} +(0.707107 - 0.707107i) q^{96} +(6.94187 + 12.0237i) q^{97} +(-3.49764 - 6.05810i) q^{98} +(3.83191 - 3.83191i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{12}\right)$

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 $

$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−0.743195	+	2.10895i	−0.332367	+	0.943150i
$5$	−0.743195	+	2.10895i	−0.332367	+	0.943150i
$6$	−0.965926	−	0.258819i	−0.394338	−	0.105662i
$7$	−0.0594459	+	0.0343211i	−0.0224684	+	0.0129722i	−0.511192	−	0.859466i	$-0.670796\pi$
$7$	−0.0594459	+	0.0343211i	−0.0224684	+	0.0129722i	0.488724	+	0.872439i	$0.337463\pi$
$8$	1.00000			0.353553
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	−1.45481	−	1.69810i	−0.460050	−	0.536986i
$11$	−5.23449	+	1.40258i	−1.57826	+	0.422893i	−0.938386	−	0.345588i	$-0.887679\pi$
$11$	−5.23449	+	1.40258i	−1.57826	+	0.422893i	−0.639872	+	0.768481i	$0.721013\pi$
$12$	0.707107	−	0.707107i	0.204124	−	0.204124i
$13$	3.36345	+	1.29893i	0.932852	+	0.360259i
$13$	3.36345	+	1.29893i	0.932852	+	0.360259i
$14$		−	0.0686422i		−	0.0183454i
$15$	−2.22944	−	0.172035i	−0.575639	−	0.0444193i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−3.28606	−	0.880498i	−0.796987	−	0.213552i	−0.162727	−	0.986671i	$-0.552029\pi$
$17$	−3.28606	−	0.880498i	−0.796987	−	0.213552i	−0.634261	+	0.773119i	$0.718695\pi$
$18$		−	1.00000i		−	0.235702i
$19$	−0.295488	+	1.10278i	−0.0677895	+	0.252994i	−0.991502	−	0.130093i	$-0.958472\pi$
$19$	−0.295488	+	1.10278i	−0.0677895	+	0.252994i	0.923712	+	0.383087i	$0.125139\pi$
$20$	2.19800	−	0.410849i	0.491488	−	0.0918685i
$21$	−0.0485374	−	0.0485374i	−0.0105917	−	0.0105917i
$22$	1.40258	−	5.23449i	0.299031	−	1.11600i
$23$	−1.72731	+	0.462831i	−0.360169	+	0.0965070i	−0.434366	−	0.900737i	$-0.643027\pi$
$23$	−1.72731	+	0.462831i	−0.360169	+	0.0965070i	0.0741966	+	0.997244i	$0.476361\pi$
$24$	0.258819	+	0.965926i	0.0528312	+	0.197169i
$25$	−3.89532	−	3.13472i	−0.779065	−	0.626944i
$26$	−2.80663	+	2.26336i	−0.550426	+	0.443882i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	0.0594459	+	0.0343211i	0.0112342	+	0.00648608i
$29$	3.37291	+	1.94735i	0.626334	+	0.361614i	0.779331	−	0.626613i	$-0.215559\pi$
$29$	3.37291	+	1.94735i	0.626334	+	0.361614i	−0.152997	+	0.988227i	$0.548893\pi$
$30$	1.26371	−	1.84473i	0.230720	−	0.336801i
$31$	−2.29267	+	2.29267i	−0.411775	+	0.411775i	−0.882356	−	0.470582i	$-0.844044\pi$
$31$	−2.29267	+	2.29267i	−0.411775	+	0.411775i	0.470582	+	0.882356i	$0.344044\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	−2.70957	−	4.69312i	−0.471676	−	0.816967i
$34$	2.40557	−	2.40557i	0.412551	−	0.412551i
$35$	−0.0282016	−	0.150876i	−0.00476693	−	0.0255026i
$36$	0.866025	+	0.500000i	0.144338	+	0.0833333i
$37$	−3.81454	−	2.20233i	−0.627107	−	0.362060i	0.152524	−	0.988300i	$-0.451260\pi$
$37$	−3.81454	−	2.20233i	−0.627107	−	0.362060i	−0.779631	+	0.626239i	$0.784593\pi$
$38$	−0.807288	−	0.807288i	−0.130959	−	0.130959i
$39$	−0.384149	+	3.58503i	−0.0615130	+	0.574064i
$40$	−0.743195	+	2.10895i	−0.117509	+	0.333454i
$41$	1.47354	+	5.49931i	0.230128	+	0.858848i	0.980285	+	0.197589i	$0.0633110\pi$
$41$	1.47354	+	5.49931i	0.230128	+	0.858848i	−0.750157	+	0.661259i	$0.770022\pi$
$42$	0.0663033	−	0.0177659i	0.0102308	−	0.00274134i
$43$	2.29321	−	8.55839i	0.349712	−	1.30514i	−0.537298	−	0.843392i	$-0.680555\pi$
$43$	2.29321	−	8.55839i	0.349712	−	1.30514i	0.887010	−	0.461750i	$-0.152778\pi$
$44$	3.83191	+	3.83191i	0.577683	+	0.577683i
$45$	−0.410849	−	2.19800i	−0.0612457	−	0.327658i
$46$	0.462831	−	1.72731i	0.0682408	−	0.254678i
$47$			9.48215i			1.38311i	0.722322	+	0.691557i	$0.243075\pi$
$47$			9.48215i			1.38311i	−0.722322	+	0.691557i	$0.756925\pi$
$48$	−0.965926	−	0.258819i	−0.139419	−	0.0373573i
$49$	−3.49764	+	6.05810i	−0.499663	+	0.865442i
$50$	4.66241	−	1.80609i	0.659364	−	0.255420i
$51$		−	3.40198i		−	0.476373i
$52$	−0.556815	−	3.56230i	−0.0772163	−	0.494002i
$53$	5.48446	−	5.48446i	0.753349	−	0.753349i	−0.221754	−	0.975103i	$-0.571178\pi$
$53$	5.48446	−	5.48446i	0.753349	−	0.753349i	0.975103	+	0.221754i	$0.0711782\pi$
$54$	0.965926	−	0.258819i	0.131446	−	0.0352208i
$55$	0.932283	−	12.0817i	0.125709	−	1.62909i
$56$	−0.0594459	+	0.0343211i	−0.00794379	+	0.00458635i
$57$	−1.14168			−0.151219
$58$	−3.37291	+	1.94735i	−0.442885	+	0.255700i
$59$	5.49573	+	1.47258i	0.715482	+	0.191713i	0.598155	−	0.801380i	$-0.295901\pi$
$59$	5.49573	+	1.47258i	0.715482	+	0.191713i	0.117327	+	0.993093i	$0.462567\pi$
$60$	0.965733	+	2.01677i	0.124676	+	0.260364i
$61$	3.87879	+	6.71827i	0.496629	+	0.860186i	0.999992	−	0.00388852i	$-0.00123776\pi$
$61$	3.87879	+	6.71827i	0.496629	+	0.860186i	−0.503364	+	0.864075i	$0.667904\pi$
$62$	−0.839174	−	3.13184i	−0.106575	−	0.397744i
$63$	0.0343211	−	0.0594459i	0.00432405	−	0.00748948i
$64$	1.00000			0.125000
$65$	−5.23908	+	6.12797i	−0.649828	+	0.760082i
$66$	5.41914			0.667051
$67$	−0.519343	+	0.899528i	−0.0634478	+	0.109895i	−0.896004	−	0.444045i	$-0.853543\pi$
$67$	−0.519343	+	0.899528i	−0.0634478	+	0.109895i	0.832557	+	0.553940i	$0.186876\pi$
$68$	0.880498	+	3.28606i	0.106776	+	0.398494i
$69$	−0.894121	−	1.54866i	−0.107640	−	0.186437i
$70$	0.144763	+	0.0510145i	0.0173025	+	0.00609740i
$71$	−5.00578	−	1.34130i	−0.594077	−	0.159182i	−0.0507612	−	0.998711i	$-0.516165\pi$
$71$	−5.00578	−	1.34130i	−0.594077	−	0.159182i	−0.543316	+	0.839528i	$0.682831\pi$
$72$	−0.866025	+	0.500000i	−0.102062	+	0.0589256i
$73$	11.8364			1.38535			0.692676	−	0.721249i	$-0.256432\pi$
$73$	11.8364			1.38535			0.692676	+	0.721249i	$0.256432\pi$
$74$	3.81454	−	2.20233i	0.443431	−	0.256015i
$75$	2.01972	−	4.57392i	0.233217	−	0.528151i
$76$	1.10278	−	0.295488i	0.126497	−	0.0338948i
$77$	0.263031	−	0.263031i	0.0299752	−	0.0299752i
$78$	−2.91265	−	2.12520i	−0.329793	−	0.240631i
$79$			11.5811i			1.30298i	0.758657	+	0.651490i	$0.225856\pi$
$79$			11.5811i			1.30298i	−0.758657	+	0.651490i	$0.774144\pi$
$80$	−1.45481	−	1.69810i	−0.162652	−	0.189853i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−5.49931	−	1.47354i	−0.607297	−	0.162725i
$83$			4.93743i			0.541953i	0.962586	+	0.270977i	$0.0873466\pi$
$83$			4.93743i			0.541953i	−0.962586	+	0.270977i	$0.912653\pi$
$84$	−0.0177659	+	0.0663033i	−0.00193842	+	0.00723428i
$85$	4.29911	−	6.27576i	0.466304	−	0.680701i
$86$	6.26518	+	6.26518i	0.675591	+	0.675591i
$87$	−1.00802	+	3.76199i	−0.108071	+	0.403328i
$88$	−5.23449	+	1.40258i	−0.557999	+	0.149515i
$89$	0.0552889	+	0.206341i	0.00586061	+	0.0218721i	0.968794	−	0.247866i	$-0.0797294\pi$
$89$	0.0552889	+	0.206341i	0.00586061	+	0.0218721i	−0.962934	+	0.269739i	$0.913063\pi$
$90$	2.10895	+	0.743195i	0.222303	+	0.0783396i
$91$	−0.244524	+	0.0382210i	−0.0256331	+	0.00400665i
$92$	1.26448	+	1.26448i	0.131831	+	0.131831i
$93$	−2.80793	−	1.62116i	−0.291169	−	0.168106i
$94$	−8.21179	−	4.74108i	−0.846981	−	0.489005i
$95$	−2.10609	−	1.44275i	−0.216080	−	0.148023i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	6.94187	+	12.0237i	0.704840	+	1.22082i	0.966749	+	0.255726i	$0.0823146\pi$
$97$	6.94187	+	12.0237i	0.704840	+	1.22082i	−0.261909	+	0.965093i	$0.584352\pi$
$98$	−3.49764	−	6.05810i	−0.353315	−	0.611960i
$99$	3.83191	−	3.83191i	0.385122	−	0.385122i
$100$	−0.767084	+	4.94081i	−0.0767084	+	0.494081i
$101$	4.74629	+	2.74027i	0.472273	+	0.272667i	0.717191	−	0.696877i	$-0.245428\pi$
$101$	4.74629	+	2.74027i	0.472273	+	0.272667i	−0.244917	+	0.969544i	$0.578761\pi$
$102$	2.94620	+	1.70099i	0.291718	+	0.168423i
$103$	0.979342	+	0.979342i	0.0964974	+	0.0964974i	0.753707	−	0.657210i	$-0.228264\pi$
$103$	0.979342	+	0.979342i	0.0964974	+	0.0964974i	−0.657210	+	0.753707i	$0.728264\pi$
$104$	3.36345	+	1.29893i	0.329813	+	0.127371i
$105$	0.138436	−	0.0662901i	0.0135099	−	0.00646925i
$106$	2.00745	+	7.49191i	0.194981	+	0.727679i
$107$	10.4550	−	2.80142i	1.01073	−	0.270824i	0.284794	−	0.958589i	$-0.408075\pi$
$107$	10.4550	−	2.80142i	1.01073	−	0.270824i	0.725933	+	0.687765i	$0.241408\pi$
$108$	−0.258819	+	0.965926i	−0.0249049	+	0.0929463i
$109$	8.33989	+	8.33989i	0.798817	+	0.798817i	0.982909	−	0.184092i	$-0.0589346\pi$
$109$	8.33989	+	8.33989i	0.798817	+	0.798817i	−0.184092	+	0.982909i	$0.558935\pi$
$110$	9.99688	+	6.84821i	0.953165	+	0.652951i
$111$	1.14001	−	4.25457i	0.108205	−	0.403826i
$112$		−	0.0686422i		−	0.00648608i
$113$	19.3553	+	5.18622i	1.82079	+	0.487879i	0.996886	−	0.0788523i	$-0.0251255\pi$
$113$	19.3553	+	5.18622i	1.82079	+	0.487879i	0.823903	+	0.566731i	$0.191792\pi$
$114$	0.570838	−	0.988721i	0.0534639	−	0.0926022i
$115$	0.307640	−	3.98678i	0.0286876	−	0.371769i
$116$		−	3.89470i		−	0.361614i
$117$	−3.56230	+	0.556815i	−0.329334	+	0.0514775i
$118$	−4.02315	+	4.02315i	−0.370361	+	0.370361i
$119$	0.225563	−	0.0604393i	0.0206773	−	0.00554046i
$120$	−2.22944	−	0.172035i	−0.203519	−	0.0157046i
$121$	15.9064	−	9.18357i	1.44604	−	0.834870i
$122$	−7.75759			−0.702339
$123$	−4.93055	+	2.84665i	−0.444572	+	0.256674i
$124$	3.13184	+	0.839174i	0.281247	+	0.0753600i
$125$	9.50594	−	5.88533i	0.850237	−	0.526400i
$126$	0.0343211	+	0.0594459i	0.00305757	+	0.00529586i
$127$	−2.74887	−	10.2589i	−0.243922	−	0.910331i	−0.973922	−	0.226883i	$-0.927146\pi$
$127$	−2.74887	−	10.2589i	−0.243922	−	0.910331i	0.730000	−	0.683448i	$-0.239520\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	8.86030			0.780106
$130$	−2.68744	−	7.60116i	−0.235704	−	0.666666i
$131$	−19.3910			−1.69420			−0.847100	−	0.531433i	$-0.821654\pi$
$131$	−19.3910			−1.69420			−0.847100	+	0.531433i	$0.821654\pi$
$132$	−2.70957	+	4.69312i	−0.235838	+	0.408483i
$133$	−0.0202829	−	0.0756969i	−0.00175875	−	0.00656376i
$134$	−0.519343	−	0.899528i	−0.0448644	−	0.0777074i
$135$	2.01677	−	0.965733i	0.173576	−	0.0831171i
$136$	−3.28606	−	0.880498i	−0.281778	−	0.0755021i
$137$	−10.4204	+	6.01623i	−0.890276	+	0.514001i	−0.874033	−	0.485867i	$-0.838504\pi$
$137$	−10.4204	+	6.01623i	−0.890276	+	0.514001i	−0.0162432	+	0.999868i	$0.505171\pi$
$138$	1.78824			0.152225
$139$	−3.76993	+	2.17657i	−0.319761	+	0.184614i	−0.651286	−	0.758832i	$-0.725770\pi$
$139$	−3.76993	+	2.17657i	−0.319761	+	0.184614i	0.331525	+	0.943447i	$0.392437\pi$
$140$	−0.116561	+	0.0998611i	−0.00985123	+	0.00843980i
$141$	−9.15906	+	2.45416i	−0.771332	+	0.206678i
$142$	3.66449	−	3.66449i	0.307517	−	0.307517i
$143$	−19.4278	−	2.08176i	−1.62463	−	0.174085i
$144$		−	1.00000i		−	0.0833333i
$145$	−6.61359	+	5.66603i	−0.549229	+	0.470538i
$146$	−5.91822	+	10.2507i	−0.489796	+	0.848351i
$147$	−6.75693	−	1.81051i	−0.557302	−	0.149329i
$148$			4.40465i			0.362060i
$149$	4.34708	−	16.2235i	0.356126	−	1.32908i	−0.522935	−	0.852373i	$-0.675163\pi$
$149$	4.34708	−	16.2235i	0.356126	−	1.32908i	0.879061	−	0.476709i	$-0.158171\pi$
$150$	2.95127	+	4.03609i	0.240970	+	0.329545i
$151$	0.226120	+	0.226120i	0.0184014	+	0.0184014i	0.716248	−	0.697846i	$-0.245858\pi$
$151$	0.226120	+	0.226120i	0.0184014	+	0.0184014i	−0.697846	+	0.716248i	$0.745858\pi$
$152$	−0.295488	+	1.10278i	−0.0239672	+	0.0894469i
$153$	3.28606	−	0.880498i	0.265662	−	0.0711840i
$154$	0.0962761	+	0.359307i	0.00775815	+	0.0289538i
$155$	−3.13122	−	6.53901i	−0.251505	−	0.525226i
$156$	3.29680	−	1.45983i	0.263955	−	0.116880i
$157$	−16.0083	−	16.0083i	−1.27760	−	1.27760i	−0.942006	−	0.335597i	$-0.891062\pi$
$157$	−16.0083	−	16.0083i	−1.27760	−	1.27760i	−0.335597	−	0.942006i	$-0.608938\pi$
$158$	−10.0296	−	5.79057i	−0.797910	−	0.460673i
$159$	6.71707	+	3.87810i	0.532698	+	0.307553i
$160$	2.19800	−	0.410849i	0.173767	−	0.0324804i
$161$	0.0867966	−	0.0867966i	0.00684053	−	0.00684053i
$162$	0.500000	+	0.866025i	0.0392837	+	0.0680414i
$163$	−5.72153	−	9.90998i	−0.448145	−	0.776209i	0.550121	−	0.835085i	$-0.314582\pi$
$163$	−5.72153	−	9.90998i	−0.448145	−	0.776209i	−0.998265	+	0.0588758i	$0.981248\pi$
$164$	4.02577	−	4.02577i	0.314360	−	0.314360i
$165$	11.9113	−	2.22645i	0.927292	−	0.173329i
$166$	−4.27594	−	2.46871i	−0.331877	−	0.191609i
$167$	−5.79193	−	3.34397i	−0.448193	−	0.258764i	0.258874	−	0.965911i	$-0.416649\pi$
$167$	−5.79193	−	3.34397i	−0.448193	−	0.258764i	−0.707067	+	0.707147i	$0.749982\pi$
$168$	−0.0485374	−	0.0485374i	−0.00374474	−	0.00374474i
$169$	9.62555	+	8.73778i	0.740427	+	0.672137i
$170$	3.28541	+	6.86102i	0.251979	+	0.526216i
$171$	−0.295488	−	1.10278i	−0.0225965	−	0.0843313i
$172$	−8.55839	+	2.29321i	−0.652571	+	0.174856i
$173$	4.22203	−	15.7568i	0.320995	−	1.19797i	−0.597282	−	0.802031i	$-0.703753\pi$
$173$	4.22203	−	15.7568i	0.320995	−	1.19797i	0.918277	−	0.395938i	$-0.129580\pi$
$174$	−2.75397	−	2.75397i	−0.208778	−	0.208778i
$175$	0.339148	+	0.0526543i	0.0256372	+	0.00398029i
$176$	1.40258	−	5.23449i	0.105723	−	0.394565i
$177$			5.68959i			0.427656i
$178$	−0.206341	−	0.0552889i	−0.0154659	−	0.00414408i
$179$	−7.70365	+	13.3431i	−0.575798	+	0.997312i	0.420156	+	0.907452i	$0.361975\pi$
$179$	−7.70365	+	13.3431i	−0.575798	+	0.997312i	−0.995954	+	0.0898598i	$0.971358\pi$
$180$	−1.69810	+	1.45481i	−0.126569	+	0.108435i
$181$			9.32410i			0.693055i	0.938040	+	0.346527i	$0.112639\pi$
$181$			9.32410i			0.693055i	−0.938040	+	0.346527i	$0.887361\pi$
$182$	0.0891616	−	0.230874i	0.00660910	−	0.0171136i
$183$	−5.48544	+	5.48544i	−0.405496	+	0.405496i
$184$	−1.72731	+	0.462831i	−0.127339	+	0.0341204i
$185$	7.47954	−	6.40791i	0.549907	−	0.471119i
$186$	2.80793	−	1.62116i	0.205887	−	0.118869i
$187$	18.4358			1.34816
$188$	8.21179	−	4.74108i	0.598906	−	0.345779i
$189$	0.0663033	+	0.0177659i	0.00482285	+	0.00129228i
$190$	2.30250	−	1.10256i	0.167041	−	0.0799878i
$191$	−12.1228	−	20.9972i	−0.877172	−	1.51931i	−0.854431	−	0.519566i	$-0.826094\pi$
$191$	−12.1228	−	20.9972i	−0.877172	−	1.51931i	−0.0227417	−	0.999741i	$-0.507240\pi$
$192$	0.258819	+	0.965926i	0.0186787	+	0.0697097i
$193$	−12.4943	+	21.6408i	−0.899361	+	1.55774i	−0.0710490	+	0.997473i	$0.522635\pi$
$193$	−12.4943	+	21.6408i	−0.899361	+	1.55774i	−0.828312	+	0.560267i	$0.810699\pi$
$194$	−13.8837			−0.996795
$195$	−7.27514	−	3.47452i	−0.520984	−	0.248816i
$196$	6.99529			0.499663
$197$	3.51714	−	6.09186i	0.250586	−	0.434027i	−0.713101	−	0.701061i	$-0.752710\pi$
$197$	3.51714	−	6.09186i	0.250586	−	0.434027i	0.963687	+	0.267034i	$0.0860434\pi$
$198$	1.40258	+	5.23449i	0.0996769	+	0.371999i
$199$	−11.0905	−	19.2092i	−0.786182	−	1.36171i	−0.928290	−	0.371856i	$-0.878721\pi$
$199$	−11.0905	−	19.2092i	−0.786182	−	1.36171i	0.142108	−	0.989851i	$-0.454612\pi$
$200$	−3.89532	−	3.13472i	−0.275441	−	0.221658i
$201$	−1.00329	−	0.268832i	−0.0707669	−	0.0189619i
$202$	−4.74629	+	2.74027i	−0.333948	+	0.192805i
$203$	−0.267341			−0.0187637
$204$	−2.94620	+	1.70099i	−0.206276	+	0.119093i
$205$	−12.6929	−	0.979448i	−0.886509	−	0.0684076i
$206$	−1.33781	+	0.358464i	−0.0932094	+	0.0249754i
$207$	1.26448	−	1.26448i	0.0878873	−	0.0878873i
$208$	−2.80663	+	2.26336i	−0.194605	+	0.156936i
$209$		−	6.18691i		−	0.427958i
$210$	−0.0118089	+	0.153034i	−0.000814889	+	0.0105603i
$211$	−10.1019	+	17.4970i	−0.695443	+	1.20454i	0.274588	+	0.961562i	$0.411459\pi$
$211$	−10.1019	+	17.4970i	−0.695443	+	1.20454i	−0.970031	+	0.242981i	$0.921875\pi$
$212$	−7.49191	−	2.00745i	−0.514547	−	0.137872i
$213$		−	5.18237i		−	0.355090i
$214$	−2.80142	+	10.4550i	−0.191501	+	0.714692i
$215$	16.3449	+	11.1968i	1.11471	+	0.763617i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	0.0576027	−	0.214976i	0.00391033	−	0.0145935i
$218$	−11.3925	+	3.05261i	−0.771598	+	0.206749i
$219$	3.06350	+	11.4331i	0.207012	+	0.772579i
$220$	−10.9292	+	5.23345i	−0.736844	+	0.352839i
$221$	−9.90879	−	7.22988i	−0.666537	−	0.486335i
$222$	3.11456	+	3.11456i	0.209036	+	0.209036i
$223$	15.7603	+	9.09923i	1.05539	+	0.609329i	0.924153	−	0.382022i	$-0.124772\pi$
$223$	15.7603	+	9.09923i	1.05539	+	0.609329i	0.131236	+	0.991351i	$0.458105\pi$
$224$	0.0594459	+	0.0343211i	0.00397190	+	0.00229318i
$225$	4.94081	+	0.767084i	0.329387	+	0.0511389i
$226$	−14.1690	+	14.1690i	−0.942510	+	0.942510i
$227$	7.93810	+	13.7492i	0.526870	+	0.912566i	0.999510	+	0.0313104i	$0.00996804\pi$
$227$	7.93810	+	13.7492i	0.526870	+	0.912566i	−0.472639	+	0.881256i	$0.656699\pi$
$228$	0.570838	+	0.988721i	0.0378047	+	0.0654797i
$229$	6.57629	−	6.57629i	0.434573	−	0.434573i	−0.455608	−	0.890181i	$-0.650578\pi$
$229$	6.57629	−	6.57629i	0.434573	−	0.434573i	0.890181	+	0.455608i	$0.150578\pi$
$230$	3.29883	+	2.25981i	0.217519	+	0.149008i
$231$	0.322146	+	0.185991i	0.0211956	+	0.0122373i
$232$	3.37291	+	1.94735i	0.221442	+	0.127850i
$233$	−16.6848	−	16.6848i	−1.09306	−	1.09306i	−0.995200	−	0.0978582i	$-0.968801\pi$
$233$	−16.6848	−	16.6848i	−1.09306	−	1.09306i	−0.0978582	−	0.995200i	$-0.531199\pi$
$234$	1.29893	−	3.36345i	0.0849139	−	0.219875i
$235$	−19.9974	−	7.04709i	−1.30448	−	0.459701i
$236$	−1.47258	−	5.49573i	−0.0958565	−	0.357741i
$237$	−11.1865	+	2.99742i	−0.726643	+	0.194703i
$238$	−0.0604393	+	0.225563i	−0.00391770	+	0.0146211i
$239$	−13.8547	−	13.8547i	−0.896186	−	0.896186i	0.0989101	−	0.995096i	$-0.468464\pi$
$239$	−13.8547	−	13.8547i	−0.896186	−	0.896186i	−0.995096	+	0.0989101i	$0.968464\pi$
$240$	1.26371	−	1.84473i	0.0815719	−	0.119077i
$241$	−1.30150	+	4.85725i	−0.0838368	+	0.312883i	−0.995091	−	0.0989604i	$-0.968448\pi$
$241$	−1.30150	+	4.85725i	−0.0838368	+	0.312883i	0.911255	+	0.411843i	$0.135115\pi$
$242$			18.3671i			1.18068i
$243$	0.965926	+	0.258819i	0.0619642	+	0.0166032i
$244$	3.87879	−	6.71827i	0.248314	−	0.430093i
$245$	−10.1768	−	11.8787i	−0.650171	−	0.758902i
$246$		−	5.69330i		−	0.362992i
$247$	−2.42629	+	3.32531i	−0.154381	+	0.211584i
$248$	−2.29267	+	2.29267i	−0.145584	+	0.145584i
$249$	−4.76919	+	1.27790i	−0.302235	+	0.0809837i
$250$	0.343874	+	11.1751i	0.0217485	+	0.706772i
$251$	23.9886	−	13.8498i	1.51415	−	0.874192i	0.514282	−	0.857621i	$-0.328058\pi$
$251$	23.9886	−	13.8498i	1.51415	−	0.874192i	0.999863	−	0.0165711i	$-0.00527499\pi$
$252$	−0.0686422			−0.00432405
$253$	8.39243	−	4.84537i	0.527628	−	0.304626i
$254$	10.2589	+	2.74887i	0.643701	+	0.172479i
$255$	7.17461	+	2.52834i	0.449291	+	0.158331i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	3.93242	+	14.6760i	0.245297	+	0.915463i	0.973234	+	0.229818i	$0.0738130\pi$
$257$	3.93242	+	14.6760i	0.245297	+	0.915463i	−0.727936	+	0.685645i	$0.759520\pi$
$258$	−4.43015	+	7.67324i	−0.275809	+	0.477715i
$259$	0.302345			0.0187868
$260$	7.92652	+	1.47319i	0.491582	+	0.0913632i
$261$	−3.89470			−0.241076
$262$	9.69551	−	16.7931i	0.598990	−	1.03748i
$263$	2.68104	+	10.0058i	0.165320	+	0.616982i	0.997999	+	0.0632266i	$0.0201391\pi$
$263$	2.68104	+	10.0058i	0.165320	+	0.616982i	−0.832679	+	0.553755i	$0.813194\pi$
$264$	−2.70957	−	4.69312i	−0.166763	−	0.288841i
$265$	7.49042	+	15.6425i	0.460133	+	0.960909i
$266$	0.0756969	+	0.0202829i	0.00464128	+	0.00124363i
$267$	−0.185000	+	0.106810i	−0.0113218	+	0.00653666i
$268$	1.03869			0.0634478
$269$	3.23208	−	1.86604i	0.197063	−	0.113775i	−0.398222	−	0.917289i	$-0.630372\pi$
$269$	3.23208	−	1.86604i	0.197063	−	0.113775i	0.595285	+	0.803515i	$0.297039\pi$
$270$	−0.172035	+	2.22944i	−0.0104697	+	0.135679i
$271$	−14.9084	+	3.99471i	−0.905624	+	0.242661i	−0.681430	−	0.731883i	$-0.738642\pi$
$271$	−14.9084	+	3.99471i	−0.905624	+	0.242661i	−0.224194	+	0.974545i	$0.571975\pi$
$272$	2.40557	−	2.40557i	0.145859	−	0.145859i
$273$	−0.100206	−	0.226300i	−0.00606475	−	0.0136963i
$274$		−	12.0325i		−	0.726907i
$275$	24.7867	+	10.9452i	1.49470	+	0.660018i
$276$	−0.894121	+	1.54866i	−0.0538198	+	0.0932186i
$277$	24.5106	+	6.56759i	1.47270	+	0.394609i	0.903856	−	0.427837i	$-0.140724\pi$
$277$	24.5106	+	6.56759i	1.47270	+	0.394609i	0.568843	+	0.822446i	$0.307391\pi$
$278$		−	4.35314i		−	0.261084i
$279$	0.839174	−	3.13184i	0.0502400	−	0.187498i
$280$	−0.0282016	−	0.150876i	−0.00168537	−	0.00901654i
$281$	−8.33382	−	8.33382i	−0.497154	−	0.497154i	0.413397	−	0.910551i	$-0.364342\pi$
$281$	−8.33382	−	8.33382i	−0.497154	−	0.497154i	−0.910551	+	0.413397i	$0.864342\pi$
$282$	2.45416	−	9.15906i	0.146143	−	0.545414i
$283$	20.4416	−	5.47731i	1.21513	−	0.325592i	0.406355	−	0.913715i	$-0.366799\pi$
$283$	20.4416	−	5.47731i	1.21513	−	0.325592i	0.808772	+	0.588123i	$0.200133\pi$
$284$	1.34130	+	5.00578i	0.0795912	+	0.297039i
$285$	0.848488	−	2.40774i	0.0502601	−	0.142622i
$286$	11.5167	−	15.7841i	0.681000	−	0.933332i
$287$	−0.276338	−	0.276338i	−0.0163117	−	0.0163117i
$288$	0.866025	+	0.500000i	0.0510310	+	0.0294628i
$289$	−4.69950	−	2.71326i	−0.276441	−	0.159603i
$290$	−1.60013	−	8.56055i	−0.0939630	−	0.502693i
$291$	−9.81729	+	9.81729i	−0.575500	+	0.575500i
$292$	−5.91822	−	10.2507i	−0.346338	−	0.599875i
$293$	−5.35665	−	9.27799i	−0.312939	−	0.542026i	0.666058	−	0.745900i	$-0.267980\pi$
$293$	−5.35665	−	9.27799i	−0.312939	−	0.542026i	−0.978997	+	0.203874i	$0.934647\pi$
$294$	4.94642	−	4.94642i	0.288481	−	0.288481i
$295$	−7.18998	+	10.4958i	−0.418617	+	0.611088i
$296$	−3.81454	−	2.20233i	−0.221716	−	0.128008i
$297$	4.69312	+	2.70957i	0.272322	+	0.157225i
$298$	11.8764	+	11.8764i	0.687983	+	0.687983i
$299$	−6.41090	−	0.686951i	−0.370752	−	0.0397274i
$300$	−4.97099	+	0.537829i	−0.287000	+	0.0310516i
$301$	0.157411	+	0.587467i	0.00907303	+	0.0338610i
$302$	−0.308886	+	0.0827656i	−0.0177744	+	0.00476263i
$303$	−1.41847	+	5.29380i	−0.0814889	+	0.304121i
$304$	−0.807288	−	0.807288i	−0.0463011	−	0.0463011i
$305$	−17.0512	+	3.18719i	−0.976348	+	0.182498i
$306$	−0.880498	+	3.28606i	−0.0503347	+	0.187852i
$307$		−	18.5230i		−	1.05716i	−0.848882	−	0.528582i	$-0.822724\pi$
$307$		−	18.5230i		−	1.05716i	0.848882	−	0.528582i	$-0.177276\pi$
$308$	−0.359307	−	0.0962761i	−0.0204734	−	0.00548584i
$309$	−0.692499	+	1.19944i	−0.0393949	+	0.0682340i
$310$	7.22855	+	0.557792i	0.410554	+	0.0316805i
$311$		−	2.97373i		−	0.168625i	−0.996439	−	0.0843124i	$-0.973131\pi$
$311$		−	2.97373i		−	0.168625i	0.996439	−	0.0843124i	$-0.0268694\pi$
$312$	−0.384149	+	3.58503i	−0.0217481	+	0.202962i
$313$	9.69581	−	9.69581i	0.548040	−	0.548040i	−0.377834	−	0.925873i	$-0.623331\pi$
$313$	9.69581	−	9.69581i	0.548040	−	0.548040i	0.925873	+	0.377834i	$0.123331\pi$
$314$	21.8678	−	5.85945i	1.23407	−	0.330668i
$315$	0.0998611	+	0.116561i	0.00562653	+	0.00656749i
$316$	10.0296	−	5.79057i	0.564207	−	0.325745i
$317$	6.45697			0.362659			0.181330	−	0.983422i	$-0.441960\pi$
$317$	6.45697			0.362659			0.181330	+	0.983422i	$0.441960\pi$
$318$	−6.71707	+	3.87810i	−0.376674	+	0.217473i
$319$	−20.3868	−	5.46262i	−1.14144	−	0.305848i
$320$	−0.743195	+	2.10895i	−0.0415458	+	0.117894i
$321$	5.41193	+	9.37374i	0.302064	+	0.523191i
$322$	0.0317698	+	0.118566i	0.00177046	+	0.00660745i
$323$	1.94198	−	3.36361i	0.108055	−	0.187156i
$324$	−1.00000			−0.0555556
$325$	−9.02992	−	15.6032i	−0.500890	−	0.865511i
$326$	11.4431			0.633772
$327$	−5.89719	+	10.2142i	−0.326116	+	0.564849i
$328$	1.47354	+	5.49931i	0.0813624	+	0.303649i
$329$	−0.325438	−	0.563675i	−0.0179420	−	0.0310764i
$330$	−4.02748	+	11.4287i	−0.221705	+	0.629129i
$331$	19.5523	+	5.23904i	1.07469	+	0.287963i	0.752420	−	0.658683i	$-0.228886\pi$
$331$	19.5523	+	5.23904i	1.07469	+	0.287963i	0.322274	+	0.946647i	$0.395553\pi$
$332$	4.27594	−	2.46871i	0.234673	−	0.135488i
$333$	4.40465			0.241374
$334$	5.79193	−	3.34397i	0.316920	−	0.182974i
$335$	−1.51109	−	1.76379i	−0.0825594	−	0.0963663i
$336$	0.0663033	−	0.0177659i	0.00361714	−	0.000969210i
$337$	14.2043	−	14.2043i	0.773758	−	0.773758i	−0.205004	−	0.978761i	$-0.565721\pi$
$337$	14.2043	−	14.2043i	0.773758	−	0.773758i	0.978761	+	0.205004i	$0.0657206\pi$
$338$	−12.3799	+	3.96708i	−0.673379	+	0.215781i
$339$			20.0380i			1.08832i
$340$	−7.58452	−	0.585260i	−0.411328	−	0.0317402i
$341$	8.78530	−	15.2166i	0.475750	−	0.824024i
$342$	1.10278	+	0.295488i	0.0596313	+	0.0159781i
$343$		−	0.960668i		−	0.0518712i
$344$	2.29321	−	8.55839i	0.123642	−	0.461437i
$345$	3.93056	−	0.734697i	0.211614	−	0.0395548i
$346$	11.5348	+	11.5348i	0.620114	+	0.620114i
$347$	−7.25007	+	27.0576i	−0.389204	+	1.45253i	0.442228	+	0.896903i	$0.354188\pi$
$347$	−7.25007	+	27.0576i	−0.389204	+	1.45253i	−0.831432	+	0.555626i	$0.812479\pi$
$348$	3.76199	−	1.00802i	0.201664	−	0.0540357i
$349$	5.33144	+	19.8972i	0.285385	+	1.06507i	0.948557	+	0.316606i	$0.102543\pi$
$349$	5.33144	+	19.8972i	0.285385	+	1.06507i	−0.663172	+	0.748467i	$0.730790\pi$
$350$	−0.215174	+	0.267384i	−0.0115015	+	0.0142923i
$351$	−1.45983	−	3.29680i	−0.0779201	−	0.175970i
$352$	3.83191	+	3.83191i	0.204242	+	0.204242i
$353$	4.88014	+	2.81755i	0.259744	+	0.149963i	0.624218	−	0.781251i	$-0.285418\pi$
$353$	4.88014	+	2.81755i	0.259744	+	0.149963i	−0.364474	+	0.931214i	$0.618751\pi$
$354$	−4.92733	−	2.84480i	−0.261885	−	0.151199i
$355$	6.54899	−	9.56009i	0.347584	−	0.507397i
$356$	0.151052	−	0.151052i	0.00800574	−	0.00800574i
$357$	0.116760	+	0.202234i	0.00617959	+	0.0107034i
$358$	−7.70365	−	13.3431i	−0.407151	−	0.705206i
$359$	−6.89818	+	6.89818i	−0.364072	+	0.364072i	−0.865310	−	0.501238i	$-0.832878\pi$
$359$	−6.89818	+	6.89818i	−0.364072	+	0.364072i	0.501238	+	0.865310i	$0.332878\pi$
$360$	−0.410849	−	2.19800i	−0.0216536	−	0.115845i
$361$	15.3257	+	8.84829i	0.806615	+	0.465699i
$362$	−8.07491	−	4.66205i	−0.424408	−	0.245032i
$363$	12.9875	+	12.9875i	0.681668	+	0.681668i
$364$	0.155362	+	0.192653i	0.00814320	+	0.0100978i
$365$	−8.79678	+	24.9624i	−0.460445	+	1.30659i
$366$	−2.00781	−	7.49325i	−0.104950	−	0.391679i
$367$	10.1032	−	2.70714i	0.527382	−	0.141311i	0.0147027	−	0.999892i	$-0.495320\pi$
$367$	10.1032	−	2.70714i	0.527382	−	0.141311i	0.512679	+	0.858580i	$0.328653\pi$
$368$	0.462831	−	1.72731i	0.0241267	−	0.0900423i
$369$	−4.02577	−	4.02577i	−0.209573	−	0.209573i
$370$	1.80965	+	9.68143i	0.0940790	+	0.503313i
$371$	−0.137796	+	0.514262i	−0.00715401	+	0.0266991i
$372$			3.24232i			0.168106i
$373$	6.36085	+	1.70438i	0.329352	+	0.0882497i	0.419706	−	0.907660i	$-0.362133\pi$
$373$	6.36085	+	1.70438i	0.329352	+	0.0882497i	−0.0903539	+	0.995910i	$0.528800\pi$
$374$	−9.21792	+	15.9659i	−0.476647	+	0.825577i
$375$	8.14511	+	7.65880i	0.420612	+	0.395499i
$376$			9.48215i			0.489005i
$377$	8.81513	+	10.9310i	0.454002	+	0.562975i
$378$	−0.0485374	+	0.0485374i	−0.00249649	+	0.00249649i
$379$	−7.82771	+	2.09743i	−0.402083	+	0.107738i	−0.454192	−	0.890904i	$-0.650072\pi$
$379$	−7.82771	+	2.09743i	−0.402083	+	0.107738i	0.0521097	+	0.998641i	$0.483405\pi$
$380$	−0.196408	+	2.54530i	−0.0100755	+	0.130571i
$381$	9.19789	−	5.31040i	0.471222	−	0.272060i
$382$	24.2455			1.24051
$383$	11.1323	−	6.42723i	0.568833	−	0.328416i	−0.187850	−	0.982198i	$-0.560152\pi$
$383$	11.1323	−	6.42723i	0.568833	−	0.328416i	0.756683	+	0.653782i	$0.226819\pi$
$384$	−0.965926	−	0.258819i	−0.0492922	−	0.0132078i
$385$	0.359236	+	0.750202i	0.0183083	+	0.0382338i
$386$	−12.4943	−	21.6408i	−0.635944	−	1.10149i
$387$	2.29321	+	8.55839i	0.116571	+	0.435047i
$388$	6.94187	−	12.0237i	0.352420	−	0.610410i
$389$	−38.1804			−1.93582			−0.967912	−	0.251288i	$-0.919146\pi$
$389$	−38.1804			−1.93582			−0.967912	+	0.251288i	$0.919146\pi$
$390$	6.64660	−	4.56320i	0.336563	−	0.231066i
$391$	6.08357			0.307659
$392$	−3.49764	+	6.05810i	−0.176658	+	0.305980i
$393$	−5.01876	−	18.7303i	−0.253163	−	0.944818i
$394$	3.51714	+	6.09186i	0.177191	+	0.306904i
$395$	−24.4240	−	8.60705i	−1.22891	−	0.433068i
$396$	−5.23449	−	1.40258i	−0.263043	−	0.0704822i
$397$	−20.8904	+	12.0611i	−1.04846	+	0.605327i	−0.922217	−	0.386673i	$-0.873624\pi$
$397$	−20.8904	+	12.0611i	−1.04846	+	0.605327i	−0.126240	+	0.992000i	$0.540291\pi$
$398$	22.1809			1.11183
$399$	0.0678680	−	0.0391836i	0.00339765	−	0.00196163i
$400$	4.66241	−	1.80609i	0.233120	−	0.0903045i
$401$	37.2272	−	9.97501i	1.85904	−	0.498128i	0.859133	−	0.511753i	$-0.171004\pi$
$401$	37.2272	−	9.97501i	1.85904	−	0.498128i	0.999907	+	0.0136248i	$0.00433704\pi$
$402$	0.734462	−	0.734462i	0.0366316	−	0.0366316i
$403$	−10.6893	+	4.73324i	−0.532471	+	0.235779i
$404$		−	5.48054i		−	0.272667i
$405$	1.45481	+	1.69810i	0.0722899	+	0.0843792i
$406$	0.133670	−	0.231524i	0.00663395	−	0.0114903i
$407$	23.0561	+	6.17787i	1.14285	+	0.306226i
$408$		−	3.40198i		−	0.168423i
$409$	−4.59831	+	17.1611i	−0.227372	+	0.848564i	0.754068	+	0.656796i	$0.228089\pi$
$409$	−4.59831	+	17.1611i	−0.227372	+	0.848564i	−0.981440	+	0.191768i	$0.938578\pi$
$410$	7.19467	−	10.5026i	0.355319	−	0.518688i
$411$	−8.50823	−	8.50823i	−0.419680	−	0.419680i
$412$	0.358464	−	1.33781i	0.0176603	−	0.0659090i
$413$	−0.377239	+	0.101081i	−0.0185627	+	0.00497386i
$414$	0.462831	+	1.72731i	0.0227469	+	0.0848927i
$415$	−10.4128	−	3.66947i	−0.511143	−	0.180127i
$416$	−0.556815	−	3.56230i	−0.0273001	−	0.174656i
$417$	−3.07814	−	3.07814i	−0.150737	−	0.150737i
$418$	5.35802	+	3.09346i	0.262070	+	0.151306i
$419$	4.08722	+	2.35976i	0.199674	+	0.115282i	0.596503	−	0.802611i	$-0.296556\pi$
$419$	4.08722	+	2.35976i	0.199674	+	0.115282i	−0.396829	+	0.917892i	$0.629890\pi$
$420$	−0.126627	−	0.0867436i	−0.00617875	−	0.00423266i
$421$	−16.2123	+	16.2123i	−0.790137	+	0.790137i	−0.981516	−	0.191379i	$-0.938704\pi$
$421$	−16.2123	+	16.2123i	−0.790137	+	0.790137i	0.191379	+	0.981516i	$0.438704\pi$
$422$	−10.1019	−	17.4970i	−0.491753	−	0.851741i
$423$	−4.74108	−	8.21179i	−0.230519	−	0.399271i
$424$	5.48446	−	5.48446i	0.266349	−	0.266349i
$425$	10.0402	+	13.7307i	0.487020	+	0.666037i
$426$	4.48806	+	2.59118i	0.217447	+	0.125543i
$427$	−0.461157	−	0.266249i	−0.0223169	−	0.0128847i
$428$	−7.65363	−	7.65363i	−0.369952	−	0.369952i
$429$	−3.01746	−	19.3046i	−0.145684	−	0.932035i
$430$	−17.8692	+	8.55668i	−0.861728	+	0.412640i
$431$	6.81996	+	25.4525i	0.328506	+	1.22600i	0.910740	+	0.412980i	$0.135512\pi$
$431$	6.81996	+	25.4525i	0.328506	+	1.22600i	−0.582234	+	0.813021i	$0.697821\pi$
$432$	0.965926	−	0.258819i	0.0464731	−	0.0124524i
$433$	−5.18896	+	19.3655i	−0.249366	+	0.930645i	0.721773	+	0.692130i	$0.243327\pi$
$433$	−5.18896	+	19.3655i	−0.249366	+	0.930645i	−0.971139	+	0.238515i	$0.923339\pi$
$434$	0.157374	+	0.157374i	0.00755418	+	0.00755418i
$435$	−7.18469	−	4.92176i	−0.344480	−	0.235980i
$436$	3.05261	−	11.3925i	0.146194	−	0.545602i
$437$		−	2.04160i		−	0.0976628i
$438$	−11.4331	−	3.06350i	−0.546296	−	0.146380i
$439$	−3.87810	+	6.71707i	−0.185092	+	0.320588i	−0.943607	−	0.331067i	$-0.892592\pi$
$439$	−3.87810	+	6.71707i	−0.185092	+	0.320588i	0.758516	+	0.651655i	$0.225925\pi$
$440$	0.932283	−	12.0817i	0.0444448	−	0.575971i
$441$		−	6.99529i		−	0.333109i
$442$	11.2157	−	4.96632i	0.533474	−	0.236224i
$443$	−7.27869	+	7.27869i	−0.345821	+	0.345821i	−0.858550	−	0.512729i	$-0.828634\pi$
$443$	−7.27869	+	7.27869i	−0.345821	+	0.345821i	0.512729	+	0.858550i	$0.328634\pi$
$444$	−4.25457	+	1.14001i	−0.201913	+	0.0541024i
$445$	−0.476253	−	0.0367501i	−0.0225765	−	0.00174212i
$446$	−15.7603	+	9.09923i	−0.746273	+	0.430861i
$447$	16.7958			0.794415
$448$	−0.0594459	+	0.0343211i	−0.00280855	+	0.00162152i
$449$	−1.50763	−	0.403969i	−0.0711496	−	0.0190645i	0.223069	−	0.974803i	$-0.428393\pi$
$449$	−1.50763	−	0.403969i	−0.0711496	−	0.0190645i	−0.294218	+	0.955738i	$0.595059\pi$
$450$	−3.13472	+	3.89532i	−0.147772	+	0.183627i
$451$	−15.4264	−	26.7193i	−0.726402	−	1.25816i
$452$	−5.18622	−	19.3553i	−0.243939	−	0.910395i
$453$	−0.159891	+	0.276939i	−0.00751233	+	0.0130117i
$454$	−15.8762			−0.745107
$455$	0.101123	−	0.544094i	0.00474071	−	0.0255075i
$456$	−1.14168			−0.0534639
$457$	4.43984	−	7.69003i	0.207687	−	0.359725i	−0.743298	−	0.668960i	$-0.766740\pi$
$457$	4.43984	−	7.69003i	0.207687	−	0.359725i	0.950986	+	0.309235i	$0.100073\pi$
$458$	2.40709	+	8.98337i	0.112476	+	0.419766i
$459$	1.70099	+	2.94620i	0.0793955	+	0.137517i
$460$	−3.60647	+	1.72697i	−0.168153	+	0.0805202i
$461$	9.36262	+	2.50871i	0.436061	+	0.116842i	0.470170	−	0.882576i	$-0.344193\pi$
$461$	9.36262	+	2.50871i	0.436061	+	0.116842i	−0.0341090	+	0.999418i	$0.510859\pi$
$462$	−0.322146	+	0.185991i	−0.0149876	+	0.00865309i
$463$	0.374437			0.0174015			0.00870077	−	0.999962i	$-0.497230\pi$
$463$	0.374437			0.0174015			0.00870077	+	0.999962i	$0.497230\pi$
$464$	−3.37291	+	1.94735i	−0.156583	+	0.0904035i
$465$	5.50578	−	4.71694i	0.255324	−	0.218743i
$466$	22.7919	−	6.10707i	1.05581	−	0.282904i
$467$	28.2026	−	28.2026i	1.30506	−	1.30506i	0.380122	−	0.924936i	$-0.375882\pi$
$467$	28.2026	−	28.2026i	1.30506	−	1.30506i	0.924936	−	0.380122i	$-0.124118\pi$
$468$	2.26336	+	2.80663i	0.104624	+	0.129737i
$469$		−	0.0712977i		−	0.00329222i
$470$	16.1016	−	13.7947i	0.742713	−	0.636301i
$471$	11.3196	−	19.6061i	0.521579	−	0.903401i
$472$	5.49573	+	1.47258i	0.252961	+	0.0677808i
$473$			48.0152i			2.20774i
$474$	2.99742	−	11.1865i	0.137676	−	0.513814i
$475$	4.60791	−	3.36940i	0.211425	−	0.154598i
$476$	−0.165123	−	0.165123i	−0.00756842	−	0.00756842i
$477$	−2.00745	+	7.49191i	−0.0919149	+	0.343031i
$478$	18.9259	−	5.07117i	0.865649	−	0.231950i
$479$	−8.58585	−	32.0428i	−0.392297	−	1.46407i	−0.826335	−	0.563179i	$-0.809578\pi$
$479$	−8.58585	−	32.0428i	−0.392297	−	1.46407i	0.434038	−	0.900895i	$-0.357088\pi$
$480$	0.965733	+	2.01677i	0.0440795	+	0.0920525i
$481$	−9.96933	−	12.3622i	−0.454562	−	0.563670i
$482$	−3.55576	−	3.55576i	−0.161960	−	0.161960i
$483$	0.106304	+	0.0613745i	0.00483699	+	0.00279264i
$484$	−15.9064	−	9.18357i	−0.723018	−	0.417435i
$485$	−30.5165	+	5.70411i	−1.38568	+	0.259011i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	−8.43618	−	14.6119i	−0.382280	−	0.662128i	0.609108	−	0.793087i	$-0.291528\pi$
$487$	−8.43618	−	14.6119i	−0.382280	−	0.662128i	−0.991388	+	0.130959i	$0.958194\pi$
$488$	3.87879	+	6.71827i	0.175585	+	0.304122i
$489$	8.09146	−	8.09146i	0.365909	−	0.365909i
$490$	15.3756	−	2.87400i	0.694601	−	0.129834i
$491$	33.3926	+	19.2792i	1.50699	+	0.870060i	0.999967	+	0.00812541i	$0.00258643\pi$
$491$	33.3926	+	19.2792i	1.50699	+	0.870060i	0.507020	+	0.861934i	$0.330747\pi$
$492$	4.93055	+	2.84665i	0.222286	+	0.128337i
$493$	−9.36896	−	9.36896i	−0.421957	−	0.421957i
$494$	−1.66666	−	3.76388i	−0.0749864	−	0.169345i
$495$	5.23345	+	10.9292i	0.235226	+	0.491229i
$496$	−0.839174	−	3.13184i	−0.0376800	−	0.140624i
$497$	0.343608	−	0.0920695i	0.0154129	−	0.00412988i
$498$	1.27790	−	4.76919i	0.0572641	−	0.213713i
$499$	−12.4800	−	12.4800i	−0.558682	−	0.558682i	0.370250	−	0.928932i	$-0.379272\pi$
$499$	−12.4800	−	12.4800i	−0.558682	−	0.558682i	−0.928932	+	0.370250i	$0.879272\pi$
$500$	−9.84981	−	5.28972i	−0.440497	−	0.236564i
$501$	1.73097	−	6.46006i	0.0773339	−	0.288614i
$502$			27.6996i			1.23629i
$503$	11.1930	+	2.99916i	0.499072	+	0.133726i	0.499569	−	0.866274i	$-0.333492\pi$
$503$	11.1930	+	2.99916i	0.499072	+	0.133726i	−0.000497269		1.00000i	$0.500158\pi$
$504$	0.0343211	−	0.0594459i	0.00152878	−	0.00264793i
$505$	−9.30651	+	7.97312i	−0.414134	+	0.354799i
$506$			9.69075i			0.430806i
$507$	−5.94877	+	11.5591i	−0.264194	+	0.513356i
$508$	−7.51004	+	7.51004i	−0.333204	+	0.333204i
$509$	2.85834	−	0.765891i	0.126694	−	0.0339475i	−0.194915	−	0.980820i	$-0.562443\pi$
$509$	2.85834	−	0.765891i	0.126694	−	0.0339475i	0.321609	+	0.946873i	$0.395776\pi$
$510$	−5.77691	+	4.94922i	−0.255806	+	0.219155i
$511$	−0.703628	+	0.406240i	−0.0311267	+	0.0179710i
$512$	1.00000			0.0441942
$513$	0.988721	−	0.570838i	0.0436531	−	0.0252031i
$514$	−14.6760	−	3.93242i	−0.647330	−	0.173452i
$515$	−2.79322	+	1.33754i	−0.123084	+	0.0589390i
$516$	−4.43015	−	7.67324i	−0.195026	−	0.337796i
$517$	−13.2995	−	49.6343i	−0.584910	−	2.18291i
$518$	−0.151173	+	0.261839i	−0.00664214	+	0.0115045i
$519$	16.3127			0.716046
$520$	−5.23908	+	6.12797i	−0.229749	+	0.268729i
$521$	7.20237			0.315542			0.157771	−	0.987476i	$-0.449569\pi$
$521$	7.20237			0.315542			0.157771	+	0.987476i	$0.449569\pi$
$522$	1.94735	−	3.37291i	0.0852332	−	0.147628i
$523$	−3.54489	−	13.2297i	−0.155007	−	0.578495i	−0.999105	−	0.0423053i	$-0.986530\pi$
$523$	−3.54489	−	13.2297i	−0.155007	−	0.578495i	0.844097	−	0.536190i	$-0.180137\pi$
$524$	9.69551	+	16.7931i	0.423550	+	0.733610i
$525$	0.0369178	+	0.341220i	0.00161122	+	0.0148921i
$526$	−10.0058	−	2.68104i	−0.436272	−	0.116899i
$527$	9.55253	−	5.51516i	0.416115	−	0.240244i
$528$	5.41914			0.235838
$529$	−17.1492	+	9.90109i	−0.745617	+	0.430482i
$530$	−17.2920	−	1.33434i	−0.751116	−	0.0579599i
$531$	−5.49573	+	1.47258i	−0.238494	+	0.0639043i
$532$	−0.0554140	+	0.0554140i	−0.00240250	+	0.00240250i
$533$	−2.18707	+	20.4107i	−0.0947327	+	0.884084i
$534$		−	0.213620i		−	0.00924423i
$535$	−1.86208	+	24.1312i	−0.0805049	+	1.04328i
$536$	−0.519343	+	0.899528i	−0.0224322	+	0.0388537i
$537$	−14.8823	−	3.98770i	−0.642219	−	0.172082i
$538$			3.73208i			0.160902i
$539$	9.81144	−	36.6168i	0.422608	−	1.57720i
$540$	−1.84473	−	1.26371i	−0.0793847	−	0.0543813i
$541$	−6.11226	−	6.11226i	−0.262787	−	0.262787i	0.563399	−	0.826185i	$-0.309494\pi$
$541$	−6.11226	−	6.11226i	−0.262787	−	0.262787i	−0.826185	+	0.563399i	$0.809494\pi$
$542$	3.99471	−	14.9084i	0.171587	−	0.640373i
$543$	−9.00639	+	2.41325i	−0.386501	+	0.103563i
$544$	0.880498	+	3.28606i	0.0377510	+	0.140889i
$545$	−23.7866	+	11.3902i	−1.01890	+	0.487904i
$546$	0.246084	+	0.0263688i	0.0105314	+	0.00112848i
$547$	−1.96357	−	1.96357i	−0.0839560	−	0.0839560i	0.663882	−	0.747838i	$-0.268908\pi$
$547$	−1.96357	−	1.96357i	−0.0839560	−	0.0839560i	−0.747838	+	0.663882i	$0.768908\pi$
$548$	10.4204	+	6.01623i	0.445138	+	0.257001i
$549$	−6.71827	−	3.87879i	−0.286729	−	0.165543i
$550$	−21.8721	+	15.9934i	−0.932632	+	0.681959i
$551$	−3.14414	+	3.14414i	−0.133945	+	0.133945i
$552$	−0.894121	−	1.54866i	−0.0380563	−	0.0659155i
$553$	−0.397478	−	0.688452i	−0.0169025	−	0.0292759i
$554$	−17.9430	+	17.9430i	−0.762325	+	0.762325i
$555$	8.12542	+	5.56619i	0.344905	+	0.236272i
$556$	3.76993	+	2.17657i	0.159881	+	0.0923072i
$557$	−28.1371	−	16.2450i	−1.19221	−	0.688321i	−0.233400	−	0.972381i	$-0.574985\pi$
$557$	−28.1371	−	16.2450i	−1.19221	−	0.688321i	−0.958807	+	0.284060i	$0.908319\pi$
$558$	2.29267	+	2.29267i	0.0970563	+	0.0970563i
$559$	18.8299	−	25.8070i	0.796419	−	1.09152i
$560$	0.144763	+	0.0510145i	0.00611735	+	0.00215576i
$561$	4.77155	+	17.8077i	0.201455	+	0.751840i
$562$	11.3842	−	3.05039i	0.480214	−	0.128673i
$563$	−8.21419	+	30.6558i	−0.346187	+	1.29199i	0.545033	+	0.838414i	$0.316517\pi$
$563$	−8.21419	+	30.6558i	−0.346187	+	1.29199i	−0.891220	+	0.453572i	$0.850150\pi$
$564$	6.70489	+	6.70489i	0.282327	+	0.282327i
$565$	−25.3222	+	36.9648i	−1.06531	+	1.55512i
$566$	−5.47731	+	20.4416i	−0.230229	+	0.859225i
$567$			0.0686422i			0.00288270i
$568$	−5.00578	−	1.34130i	−0.210038	−	0.0562795i
$569$	−8.23444	+	14.2625i	−0.345206	+	0.597914i	−0.985391	−	0.170307i	$-0.945524\pi$
$569$	−8.23444	+	14.2625i	−0.345206	+	0.597914i	0.640186	+	0.768220i	$0.278857\pi$
$570$	1.66092	+	1.93868i	0.0695682	+	0.0812024i
$571$		−	8.91516i		−	0.373088i	−0.982447	−	0.186544i	$-0.940271\pi$
$571$		−	8.91516i		−	0.373088i	0.982447	−	0.186544i	$-0.0597286\pi$
$572$	7.91104	+	17.8658i	0.330777	+	0.747008i
$573$	17.1442	−	17.1442i	0.716208	−	0.716208i
$574$	0.377485	−	0.101147i	0.0157559	−	0.00422178i
$575$	8.17928	+	3.61175i	0.341099	+	0.150620i
$576$	−0.866025	+	0.500000i	−0.0360844	+	0.0208333i
$577$	−0.0200033			−0.000832749			−0.000416374	−	1.00000i	$-0.500133\pi$
$577$	−0.0200033			−0.000832749			−0.000416374		1.00000i	$0.500133\pi$
$578$	4.69950	−	2.71326i	0.195473	−	0.112857i
$579$	−24.1372	−	6.46754i	−1.00311	−	0.268782i
$580$	8.21372	+	2.89452i	0.341056	+	0.120188i
$581$	−0.169458	−	0.293510i	−0.00703031	−	0.0121768i
$582$	−3.59338	−	13.4107i	−0.148950	−	0.555890i
$583$	−21.0160	+	36.4008i	−0.870393	+	1.50757i
$584$	11.8364			0.489796
$585$	1.47319	−	7.92652i	0.0609088	−	0.327721i
$586$	10.7133			0.442562
$587$	9.10670	−	15.7733i	0.375874	−	0.651032i	−0.614584	−	0.788852i	$-0.710676\pi$
$587$	9.10670	−	15.7733i	0.375874	−	0.651032i	0.990457	+	0.137819i	$0.0440093\pi$
$588$	1.81051	+	6.75693i	0.0746643	+	0.278651i
$589$	−1.85084	−	3.20575i	−0.0762625	−	0.132091i
$590$	−5.49463	−	11.4746i	−0.226210	−	0.472402i
$591$	6.79459	+	1.82061i	0.279492	+	0.0748897i
$592$	3.81454	−	2.20233i	0.156777	−	0.0905151i
$593$	−25.0570			−1.02897			−0.514483	−	0.857500i	$-0.672016\pi$
$593$	−25.0570			−1.02897			−0.514483	+	0.857500i	$0.672016\pi$
$594$	−4.69312	+	2.70957i	−0.192561	+	0.111175i
$595$	−0.0401736	+	0.520618i	−0.00164696	+	0.0213433i
$596$	−16.2235	+	4.34708i	−0.664541	+	0.178063i
$597$	15.6843	−	15.6843i	0.641915	−	0.641915i
$598$	3.80037	−	5.20853i	0.155409	−	0.212993i
$599$			4.49917i			0.183831i	0.995767	+	0.0919155i	$0.0292990\pi$
$599$			4.49917i			0.183831i	−0.995767	+	0.0919155i	$0.970701\pi$
$600$	2.01972	−	4.57392i	0.0824548	−	0.186729i
$601$	−1.96296	+	3.39994i	−0.0800706	+	0.138686i	−0.903280	−	0.429051i	$-0.858848\pi$
$601$	−1.96296	+	3.39994i	−0.0800706	+	0.138686i	0.823209	+	0.567738i	$0.192181\pi$
$602$	−0.587467	−	0.157411i	−0.0239434	−	0.00641560i
$603$		−	1.03869i		−	0.0422986i
$604$	0.0827656	−	0.308886i	0.00336769	−	0.0125684i
$605$	7.54611	+	40.3710i	0.306793	+	1.64131i
$606$	−3.87533	−	3.87533i	−0.157424	−	0.157424i
$607$	−8.12088	+	30.3075i	−0.329616	+	1.23014i	0.579973	+	0.814636i	$0.303063\pi$
$607$	−8.12088	+	30.3075i	−0.329616	+	1.23014i	−0.909589	+	0.415509i	$0.863603\pi$
$608$	1.10278	−	0.295488i	0.0447234	−	0.0119836i
$609$	−0.0691929	−	0.258232i	−0.00280384	−	0.0104641i
$610$	5.76540	−	16.3603i	0.233434	−	0.662411i
$611$	−12.3167	+	31.8927i	−0.498280	+	1.29024i
$612$	−2.40557	−	2.40557i	−0.0972392	−	0.0972392i
$613$	−20.1643	−	11.6419i	−0.814429	−	0.470211i	0.0340625	−	0.999420i	$-0.489155\pi$
$613$	−20.1643	−	11.6419i	−0.814429	−	0.470211i	−0.848492	+	0.529209i	$0.822489\pi$
$614$	16.0414	+	9.26151i	0.647378	+	0.373764i
$615$	−2.33909	−	12.5139i	−0.0943210	−	0.504608i
$616$	0.263031	−	0.263031i	0.0105978	−	0.0105978i
$617$	−15.7264	−	27.2389i	−0.633119	−	1.09659i	−0.986910	−	0.161270i	$-0.948441\pi$
$617$	−15.7264	−	27.2389i	−0.633119	−	1.09659i	0.353791	−	0.935325i	$-0.384892\pi$
$618$	−0.692499	−	1.19944i	−0.0278564	−	0.0482487i
$619$	28.3021	−	28.3021i	1.13756	−	1.13756i	0.148669	−	0.988887i	$-0.452501\pi$
$619$	28.3021	−	28.3021i	1.13756	−	1.13756i	0.988887	−	0.148669i	$-0.0474990\pi$
$620$	−4.09734	+	5.98122i	−0.164553	+	0.240211i
$621$	1.54866	+	0.894121i	0.0621457	+	0.0358799i
$622$	2.57533	+	1.48686i	0.103261	+	0.0596178i
$623$	−0.0103685	−	0.0103685i	−0.000415407	−	0.000415407i
$624$	−2.91265	−	2.12520i	−0.116599	−	0.0850760i
$625$	5.34709	+	24.4215i	0.213883	+	0.976859i
$626$	3.54891	+	13.2447i	0.141843	+	0.529366i
$627$	5.97610	−	1.60129i	0.238662	−	0.0639494i
$628$	−5.85945	+	21.8678i	−0.233817	+	0.872619i
$629$	10.5957	+	10.5957i	0.422477	+	0.422477i
$630$	−0.150876	+	0.0282016i	−0.00601103	+	0.00112358i
$631$	−7.93986	+	29.6319i	−0.316081	+	1.17963i	0.606899	+	0.794779i	$0.292413\pi$
$631$	−7.93986	+	29.6319i	−0.316081	+	1.17963i	−0.922979	+	0.384850i	$0.874253\pi$
$632$			11.5811i			0.460673i
$633$	−19.5154	−	5.22913i	−0.775666	−	0.207839i
$634$	−3.22848	+	5.59190i	−0.128219	+	0.222083i
$635$	23.6784	+	1.82715i	0.939651	+	0.0725083i
$636$		−	7.75620i		−	0.307553i
$637$	−19.6332	+	15.8329i	−0.777896	+	0.627322i
$638$	14.9242	−	14.9242i	0.590853	−	0.590853i
$639$	5.00578	−	1.34130i	0.198026	−	0.0530608i
$640$	−1.45481	−	1.69810i	−0.0575062	−	0.0671233i
$641$	23.3183	−	13.4628i	0.921018	−	0.531750i	0.0370580	−	0.999313i	$-0.488201\pi$
$641$	23.3183	−	13.4628i	0.921018	−	0.531750i	0.883960	+	0.467563i	$0.154868\pi$
$642$	−10.8239			−0.427184
$643$	11.6437	−	6.72252i	0.459185	−	0.265110i	−0.252517	−	0.967593i	$-0.581258\pi$
$643$	11.6437	−	6.72252i	0.459185	−	0.265110i	0.711701	+	0.702482i	$0.247925\pi$
$644$	−0.118566	−	0.0317698i	−0.00467217	−	0.00125190i
$645$	−6.58493	+	18.6859i	−0.259281	+	0.735757i
$646$	1.94198	+	3.36361i	0.0764063	+	0.132340i
$647$	2.46398	+	9.19569i	0.0968690	+	0.361520i	0.997296	−	0.0734867i	$-0.0234127\pi$
$647$	2.46398	+	9.19569i	0.0968690	+	0.361520i	−0.900427	+	0.435007i	$0.856746\pi$
$648$	0.500000	−	0.866025i	0.0196419	−	0.0340207i
$649$	−30.8327			−1.21029
$650$	18.0277	−	0.0185344i	0.707106	−	0.000726979i
$651$	0.222560			0.00872281
$652$	−5.72153	+	9.90998i	−0.224072	+	0.388105i
$653$	4.69855	+	17.5352i	0.183868	+	0.686206i	0.994870	+	0.101162i	$0.0322561\pi$
$653$	4.69855	+	17.5352i	0.183868	+	0.686206i	−0.811002	+	0.585044i	$0.801077\pi$
$654$	−5.89719	−	10.2142i	−0.230598	−	0.399408i
$655$	14.4113	−	40.8946i	0.563096	−	1.59789i
$656$	−5.49931	−	1.47354i	−0.214712	−	0.0575319i
$657$	−10.2507	+	5.91822i	−0.399916	+	0.230892i
$658$	0.650876			0.0253738
$659$	5.97168	−	3.44775i	0.232624	−	0.134305i	−0.379158	−	0.925332i	$-0.623786\pi$
$659$	5.97168	−	3.44775i	0.232624	−	0.134305i	0.611782	+	0.791027i	$0.290453\pi$
$660$	−7.88380	−	9.20225i	−0.306876	−	0.358197i
$661$	−23.7763	+	6.37085i	−0.924792	+	0.247797i	−0.689633	−	0.724159i	$-0.742228\pi$
$661$	−23.7763	+	6.37085i	−0.924792	+	0.247797i	−0.235160	+	0.971957i	$0.575561\pi$
$662$	−14.3133	+	14.3133i	−0.556303	+	0.556303i
$663$	4.41895	−	11.4424i	0.171618	−	0.444386i
$664$			4.93743i			0.191609i
$665$	0.174715	+	0.0134819i	0.00677516	+	0.000522806i
$666$	−2.20233	+	3.81454i	−0.0853384	+	0.147810i
$667$	−6.72736	−	1.80259i	−0.260484	−	0.0697966i
$668$			6.68794i			0.258764i
$669$	−4.71011	+	17.5784i	−0.182103	+	0.679619i
$670$	2.28303	−	0.426743i	0.0882012	−	0.0164865i
$671$	−29.7264	−	29.7264i	−1.14758	−	1.14758i
$672$	−0.0177659	+	0.0663033i	−0.000685335	+	0.00255770i
$673$	18.5132	−	4.96061i	0.713633	−	0.191217i	0.116304	−	0.993214i	$-0.462895\pi$
$673$	18.5132	−	4.96061i	0.713633	−	0.191217i	0.597329	+	0.801996i	$0.296229\pi$
$674$	5.19914	+	19.4034i	0.200263	+	0.747392i
$675$	0.537829	+	4.97099i	0.0207011	+	0.191333i
$676$	2.75437	−	12.7049i	0.105937	−	0.488648i
$677$	−13.3554	−	13.3554i	−0.513291	−	0.513291i	0.402242	−	0.915533i	$-0.368231\pi$
$677$	−13.3554	−	13.3554i	−0.513291	−	0.513291i	−0.915533	+	0.402242i	$0.868231\pi$
$678$	−17.3534	−	10.0190i	−0.666455	−	0.384778i
$679$	−0.825332	−	0.476505i	−0.0316733	−	0.0182866i
$680$	4.29911	−	6.27576i	0.164863	−	0.240664i
$681$	−11.2262	+	11.2262i	−0.430188	+	0.430188i
$682$	8.78530	+	15.2166i	0.336406	+	0.582673i
$683$	−8.00107	−	13.8583i	−0.306152	−	0.530271i	0.671365	−	0.741127i	$-0.265708\pi$
$683$	−8.00107	−	13.8583i	−0.306152	−	0.530271i	−0.977517	+	0.210856i	$0.932375\pi$
$684$	−0.807288	+	0.807288i	−0.0308674	+	0.0308674i
$685$	−4.94352	−	26.4473i	−0.188882	−	1.01050i
$686$	0.831963	+	0.480334i	0.0317645	+	0.0183392i
$687$	8.05427	+	4.65014i	0.307290	+	0.177414i
$688$	6.26518	+	6.26518i	0.238858	+	0.238858i
$689$	25.5706	−	11.3227i	0.974164	−	0.431362i
$690$	−1.32901	+	3.77131i	−0.0505946	+	0.143571i
$691$	−9.59085	−	35.7936i	−0.364853	−	1.36165i	−0.867620	−	0.497229i	$-0.834351\pi$
$691$	−9.59085	−	35.7936i	−0.364853	−	1.36165i	0.502766	−	0.864422i	$-0.332316\pi$
$692$	−15.7568	+	4.22203i	−0.598984	+	0.160497i
$693$	−0.0962761	+	0.359307i	−0.00365722	+	0.0136489i
$694$	−19.8075	−	19.8075i	−0.751884	−	0.751884i
$695$	−1.78848	−	9.56821i	−0.0678410	−	0.362943i
$696$	−1.00802	+	3.76199i	−0.0382090	+	0.142598i
$697$		−	19.3685i		−	0.733635i
$698$	−19.8972	−	5.33144i	−0.753120	−	0.201798i
$699$	11.7979	−	20.4346i	0.446239	−	0.772909i
$700$	−0.123974	−	0.320038i	−0.00468578	−	0.0120963i
$701$		−	9.21330i		−	0.347982i	−0.984747	−	0.173991i	$-0.944334\pi$
$701$		−	9.21330i		−	0.347982i	0.984747	−	0.173991i	$-0.0556663\pi$
$702$	3.58503	+	0.384149i	0.135308	+	0.0144988i
$703$	3.55582	−	3.55582i	0.134110	−	0.134110i
$704$	−5.23449	+	1.40258i	−0.197282	+	0.0528616i
$705$	1.63126	−	21.1399i	0.0614369	−	0.796174i
$706$	−4.88014	+	2.81755i	−0.183666	+	0.106040i
$707$	−0.376197			−0.0141483
$708$	4.92733	−	2.84480i	0.185180	−	0.106914i
$709$	41.8016	+	11.2007i	1.56989	+	0.420651i	0.935778	−	0.352590i	$-0.114699\pi$
$709$	41.8016	+	11.2007i	1.56989	+	0.420651i	0.634113	+	0.773241i	$0.281366\pi$
$710$	5.00479	+	10.4516i	0.187826	+	0.392243i
$711$	−5.79057	−	10.0296i	−0.217163	−	0.376138i
$712$	0.0552889	+	0.206341i	0.00207204	+	0.00773295i
$713$	2.89903	−	5.02126i	0.108569	−	0.188048i
$714$	−0.233520			−0.00873925
$715$	18.8289	−	39.4250i	0.704163	−	1.47441i
$716$	15.4073			0.575798
$717$	9.79675	−	16.9685i	0.365867	−	0.633699i
$718$	−2.52491	−	9.42309i	−0.0942288	−	0.351667i
$719$	15.2449	+	26.4050i	0.568540	+	0.984741i	0.996711	+	0.0810429i	$0.0258251\pi$
$719$	15.2449	+	26.4050i	0.568540	+	0.984741i	−0.428170	+	0.903698i	$0.640842\pi$
$720$	2.10895	+	0.743195i	0.0785959	+	0.0276972i
$721$	−0.0918300	−	0.0246058i	−0.00341993	−	0.000916367i
$722$	−15.3257	+	8.84829i	−0.570363	+	0.329299i
$723$	−5.02860			−0.187016
$724$	8.07491	−	4.66205i	0.300101	−	0.173264i
$725$	−7.03418	−	18.1587i	−0.261243	−	0.674397i
$726$	−17.7413	+	4.75376i	−0.658441	+	0.176429i
$727$	−6.36716	+	6.36716i	−0.236145	+	0.236145i	−0.815252	−	0.579107i	$-0.803401\pi$
$727$	−6.36716	+	6.36716i	−0.236145	+	0.236145i	0.579107	+	0.815252i	$0.303401\pi$
$728$	−0.244524	+	0.0382210i	−0.00906266	+	0.00141656i
$729$			1.00000i			0.0370370i
$730$	−17.2197	−	20.0995i	−0.637331	−	0.743914i
$731$	−15.0713	+	26.1042i	−0.557432	+	0.965500i
$732$	7.49325	+	2.00781i	0.276959	+	0.0742108i
$733$		−	40.5199i		−	1.49664i	−0.663340	−	0.748319i	$-0.730861\pi$
$733$		−	40.5199i		−	1.49664i	0.663340	−	0.748319i	$-0.269139\pi$
$734$	−2.70714	+	10.1032i	−0.0999223	+	0.372915i
$735$	8.83999	−	12.9044i	0.326068	−	0.475988i
$736$	1.26448	+	1.26448i	0.0466093	+	0.0466093i
$737$	1.45684	−	5.43699i	0.0536633	−	0.200274i
$738$	5.49931	−	1.47354i	0.202432	−	0.0542416i
$739$	3.56257	+	13.2957i	0.131051	+	0.489089i	0.999983	−	0.00584246i	$-0.00185972\pi$
$739$	3.56257	+	13.2957i	0.131051	+	0.489089i	−0.868932	+	0.494932i	$0.835193\pi$
$740$	−9.28919	−	3.27352i	−0.341477	−	0.120337i
$741$	−3.83997	−	1.48296i	−0.141065	−	0.0544780i
$742$	−0.376466	−	0.376466i	−0.0138205	−	0.0138205i
$743$	41.4501	+	23.9312i	1.52065	+	0.877951i	0.999703	+	0.0243644i	$0.00775619\pi$
$743$	41.4501	+	23.9312i	1.52065	+	0.877951i	0.520952	+	0.853586i	$0.325577\pi$
$744$	−2.80793	−	1.62116i	−0.102944	−	0.0594346i
$745$	30.9838	+	21.2250i	1.13516	+	0.777623i
$746$	−4.65646	+	4.65646i	−0.170485	+	0.170485i
$747$	−2.46871	−	4.27594i	−0.0903256	−	0.156448i
$748$	−9.21792	−	15.9659i	−0.337041	−	0.583771i
$749$	−0.525362	+	0.525362i	−0.0191963	+	0.0191963i
$750$	−10.7053	+	3.22447i	−0.390901	+	0.117741i
$751$	11.5401	+	6.66266i	0.421103	+	0.243124i	0.695549	−	0.718479i	$-0.255161\pi$
$751$	11.5401	+	6.66266i	0.421103	+	0.243124i	−0.274446	+	0.961602i	$0.588495\pi$
$752$	−8.21179	−	4.74108i	−0.299453	−	0.172889i
$753$	19.5866	+	19.5866i	0.713775	+	0.713775i
$754$	−13.8741	+	2.16863i	−0.505264	+	0.0789767i
$755$	−0.644926	+	0.308824i	−0.0234713	+	0.0112393i
$756$	−0.0177659	−	0.0663033i	−0.000646140	−	0.00241143i
$757$	16.9393	−	4.53887i	0.615668	−	0.164968i	0.0625106	−	0.998044i	$-0.480089\pi$
$757$	16.9393	−	4.53887i	0.615668	−	0.164968i	0.553158	+	0.833076i	$0.313423\pi$
$758$	2.09743	−	7.82771i	0.0761821	−	0.284315i
$759$	6.85239	+	6.85239i	0.248726	+	0.248726i
$760$	−2.10609	−	1.44275i	−0.0763959	−	0.0523339i
$761$	10.9525	−	40.8753i	0.397028	−	1.48173i	−0.421271	−	0.906935i	$-0.638416\pi$
$761$	10.9525	−	40.8753i	0.397028	−	1.48173i	0.818299	−	0.574793i	$-0.194917\pi$
$762$			10.6208i			0.384751i
$763$	−0.782007	−	0.209538i	−0.0283105	−	0.00758579i
$764$	−12.1228	+	20.9972i	−0.438586	+	0.759653i
$765$	−0.585260	+	7.58452i	−0.0211601	+	0.274219i
$766$			12.8545i			0.464450i
$767$	16.5718	+	12.0915i	0.598373	+	0.436599i
$768$	0.707107	−	0.707107i	0.0255155	−	0.0255155i
$769$	−23.4731	+	6.28959i	−0.846460	+	0.226808i	−0.655882	−	0.754864i	$-0.727703\pi$
$769$	−23.4731	+	6.28959i	−0.846460	+	0.226808i	−0.190578	+	0.981672i	$0.561036\pi$
$770$	−0.829312	−	0.0639940i	−0.0298863	−	0.00230618i
$771$	−13.1581	+	7.59685i	−0.473878	+	0.273594i
$772$	24.9887			0.899361
$773$	14.8618	−	8.58044i	0.534540	−	0.308617i	−0.208323	−	0.978060i	$-0.566801\pi$
$773$	14.8618	−	8.58044i	0.534540	−	0.308617i	0.742863	+	0.669443i	$0.233467\pi$
$774$	−8.55839	−	2.29321i	−0.307625	−	0.0824279i
$775$	16.1175	−	1.74381i	0.578959	−	0.0626396i
$776$	6.94187	+	12.0237i	0.249199	+	0.431625i
$777$	0.0782527	+	0.292043i	0.00280730	+	0.0104770i
$778$	19.0902	−	33.0652i	0.684417	−	1.18545i
$779$	−6.49991			−0.232884
$780$	0.628545	+	8.03772i	0.0225055	+	0.287797i
$781$	28.0840			1.00492
$782$	−3.04179	+	5.26853i	−0.108774	+	0.188402i
$783$	−1.00802	−	3.76199i	−0.0360238	−	0.134443i
$784$	−3.49764	−	6.05810i	−0.124916	−	0.216361i
$785$	45.6580	−	21.8634i	1.62960	−	0.780338i
$786$	18.7303	+	5.01876i	0.668087	+	0.179013i
$787$	−0.144944	+	0.0836833i	−0.00516669	+	0.00298299i	−0.502581	−	0.864530i	$-0.667616\pi$
$787$	−0.144944	+	0.0836833i	−0.00516669	+	0.00298299i	0.497414	+	0.867513i	$0.334283\pi$
$788$	−7.03428			−0.250586
$789$	−8.97093	+	5.17937i	−0.319373	+	0.184390i
$790$	19.6659	−	16.8483i	0.699683	−	0.599436i
$791$	−1.32859	+	0.355994i	−0.0472391	+	0.0126577i
$792$	3.83191	−	3.83191i	0.136161	−	0.136161i
$793$	4.31954	+	27.6348i	0.153391	+	0.981342i
$794$		−	24.1221i		−	0.856062i
$795$	−13.1708	+	11.2838i	−0.467120	+	0.400194i
$796$	−11.0905	+	19.2092i	−0.393091	+	0.680854i
$797$	−19.7252	−	5.28534i	−0.698702	−	0.187217i	−0.108053	−	0.994145i	$-0.534462\pi$
$797$	−19.7252	−	5.28534i	−0.698702	−	0.187217i	−0.590649	+	0.806929i	$0.701128\pi$
$798$			0.0783672i			0.00277417i
$799$	8.34902	−	31.1590i	0.295367	−	1.10232i
$800$	−0.767084	+	4.94081i	−0.0271205	+	0.174684i
$801$	−0.151052	−	0.151052i	−0.00533716	−	0.00533716i
$802$	−9.97501	+	37.2272i	−0.352230	+	1.31454i
$803$	−61.9578	+	16.6015i	−2.18644	+	0.585855i
$804$	0.268832	+	1.00329i	0.00948096	+	0.0353834i
$805$	0.118543	+	0.247556i	0.00417808	+	0.00872521i
$806$	1.24553	−	11.6238i	0.0438720	−	0.409431i
$807$	2.63898	+	2.63898i	0.0928966	+	0.0928966i
$808$	4.74629	+	2.74027i	0.166974	+	0.0964024i
$809$	32.4615	+	18.7417i	1.14129	+	0.658922i	0.946749	−	0.321973i	$-0.104346\pi$
$809$	32.4615	+	18.7417i	1.14129	+	0.658922i	0.194537	+	0.980895i	$0.437679\pi$
$810$	−2.19800	+	0.410849i	−0.0772298	+	0.0144357i
$811$	27.9343	−	27.9343i	0.980907	−	0.980907i	−0.0189136	−	0.999821i	$-0.506021\pi$
$811$	27.9343	−	27.9343i	0.980907	−	0.980907i	0.999821	+	0.0189136i	$0.00602076\pi$
$812$	0.133670	+	0.231524i	0.00469091	+	0.00812490i
$813$	−7.71718	−	13.3665i	−0.270653	−	0.468785i
$814$	−16.8783	+	16.8783i	−0.591582	+	0.591582i
$815$	25.1518	−	4.70136i	0.881030	−	0.164682i
$816$	2.94620	+	1.70099i	0.103138	+	0.0595466i
$817$	8.76036	+	5.05780i	0.306486	+	0.176950i
$818$	−12.5628	−	12.5628i	−0.439249	−	0.439249i
$819$	0.192653	−	0.155362i	0.00673186	−	0.00542880i
$820$	5.49821	+	11.4821i	0.192006	+	0.400972i
$821$	−3.50998	−	13.0994i	−0.122499	−	0.457173i	0.877239	−	0.480054i	$-0.159383\pi$
$821$	−3.50998	−	13.0994i	−0.122499	−	0.457173i	−0.999738	+	0.0228809i	$0.992716\pi$
$822$	11.6225	−	3.11423i	0.405380	−	0.108621i
$823$	−1.92089	+	7.16885i	−0.0669579	+	0.249890i	−0.991290	−	0.131699i	$-0.957957\pi$
$823$	−1.92089	+	7.16885i	−0.0669579	+	0.249890i	0.924332	+	0.381590i	$0.124623\pi$
$824$	0.979342	+	0.979342i	0.0341170	+	0.0341170i
$825$	−4.15694	+	26.7750i	−0.144726	+	0.932184i
$826$	0.101081	−	0.377239i	0.00351705	−	0.0131258i
$827$			55.9023i			1.94391i	0.235159	+	0.971957i	$0.424439\pi$
$827$			55.9023i			1.94391i	−0.235159	+	0.971957i	$0.575561\pi$
$828$	−1.72731	−	0.462831i	−0.0600282	−	0.0160845i
$829$	16.1654	−	27.9992i	0.561446	−	0.972454i	−0.435924	−	0.899983i	$-0.643578\pi$
$829$	16.1654	−	27.9992i	0.561446	−	0.972454i	0.997371	−	0.0724702i	$-0.0230882\pi$
$830$	8.38425	−	7.18300i	0.291021	−	0.249326i
$831$			25.3752i			0.880257i
$832$	3.36345	+	1.29893i	0.116607	+	0.0450324i
$833$	16.8276	−	16.8276i	0.583043	−	0.583043i
$834$	4.20481	−	1.12668i	0.145601	−	0.0390136i
$835$	11.3568	−	9.72966i	0.393018	−	0.336709i
$836$	−5.35802	+	3.09346i	−0.185311	+	0.106989i
$837$	3.24232			0.112071
$838$	−4.08722	+	2.35976i	−0.141191	+	0.0815165i
$839$	5.89837	+	1.58046i	0.203634	+	0.0545637i	0.359194	−	0.933263i	$-0.383052\pi$
$839$	5.89837	+	1.58046i	0.203634	+	0.0545637i	−0.155560	+	0.987826i	$0.549718\pi$
$840$	0.138436	−	0.0662901i	0.00477648	−	0.00228723i
$841$	−6.91565	−	11.9783i	−0.238471	−	0.413043i
$842$	−5.93410	−	22.1464i	−0.204503	−	0.763214i
$843$	5.89290	−	10.2068i	0.202962	−	0.351541i
$844$	20.2038			0.695443
$845$	−25.5812	+	13.8059i	−0.880019	+	0.474938i
$846$	9.48215			0.326003
$847$	−0.630380	+	1.09185i	−0.0216601	+	0.0375164i
$848$	2.00745	+	7.49191i	0.0689362	+	0.257273i
$849$	10.5814	+	18.3274i	0.363151	+	0.628996i
$850$	−16.9112	+	1.82969i	−0.580050	+	0.0627577i
$851$	7.60820	+	2.03861i	0.260806	+	0.0698827i
$852$	−4.48806	+	2.59118i	−0.153758	+	0.0887725i
$853$	−47.1782			−1.61535			−0.807676	−	0.589627i	$-0.799275\pi$
$853$	−47.1782			−1.61535			−0.807676	+	0.589627i	$0.799275\pi$
$854$	0.461157	−	0.266249i	0.0157805	−	0.00911085i
$855$	2.54530	+	0.196408i	0.0870474	+	0.00671703i
$856$	10.4550	−	2.80142i	0.357346	−	0.0957506i
$857$	−27.1912	+	27.1912i	−0.928835	+	0.928835i	−0.997631	−	0.0687960i	$-0.978084\pi$
$857$	−27.1912	+	27.1912i	−0.928835	+	0.928835i	0.0687960	+	0.997631i	$0.478084\pi$
$858$	18.2270	+	7.03910i	0.622260	+	0.240311i
$859$			37.8456i			1.29127i	0.763645	+	0.645637i	$0.223408\pi$
$859$			37.8456i			1.29127i	−0.763645	+	0.645637i	$0.776592\pi$
$860$	1.52428	−	19.7535i	0.0519776	−	0.673589i
$861$	0.195400	−	0.338444i	0.00665923	−	0.0115341i
$862$	−25.4525	−	6.81996i	−0.866914	−	0.232289i
$863$		−	41.3242i		−	1.40669i	−0.710847	−	0.703346i	$-0.751688\pi$
$863$		−	41.3242i		−	1.40669i	0.710847	−	0.703346i	$-0.248312\pi$
$864$	−0.258819	+	0.965926i	−0.00880520	+	0.0328615i
$865$	30.0925	+	20.6144i	1.02318	+	0.700911i
$866$	−14.1765	−	14.1765i	−0.481737	−	0.481737i
$867$	1.40448	−	5.24161i	0.0476988	−	0.178014i
$868$	−0.214976	+	0.0576027i	−0.00729677	+	0.00195516i
$869$	−16.2435	−	60.6214i	−0.551022	−	2.05644i
$870$	7.85471	−	3.76124i	0.266300	−	0.127518i
$871$	−2.91521	+	2.35092i	−0.0987781	+	0.0796580i
$872$	8.33989	+	8.33989i	0.282424	+	0.282424i
$873$	−12.0237	−	6.94187i	−0.406940	−	0.234947i
$874$	1.76807	+	1.02080i	0.0598060	+	0.0345290i
$875$	−0.363098	+	0.676113i	−0.0122750	+	0.0228568i
$876$	8.36963	−	8.36963i	0.282784	−	0.282784i
$877$	13.4146	+	23.2348i	0.452979	+	0.784583i	0.998570	−	0.0534688i	$-0.0170278\pi$
$877$	13.4146	+	23.2348i	0.452979	+	0.784583i	−0.545590	+	0.838052i	$0.683694\pi$
$878$	−3.87810	−	6.71707i	−0.130880	−	0.226690i
$879$	7.57544	−	7.57544i	0.255513	−	0.255513i
$880$	9.99688	+	6.84821i	0.336995	+	0.230853i
$881$	19.8210	+	11.4437i	0.667788	+	0.385547i	0.795238	−	0.606298i	$-0.207346\pi$
$881$	19.8210	+	11.4437i	0.667788	+	0.385547i	−0.127450	+	0.991845i	$0.540679\pi$
$882$	6.05810	+	3.49764i	0.203987	+	0.117772i
$883$	31.2334	+	31.2334i	1.05109	+	1.05109i	0.998623	+	0.0524655i	$0.0167080\pi$
$883$	31.2334	+	31.2334i	1.05109	+	1.05109i	0.0524655	+	0.998623i	$0.483292\pi$
$884$	−1.30687	+	12.1962i	−0.0439547	+	0.410203i
$885$	−11.9991	−	4.22848i	−0.403344	−	0.142139i
$886$	−2.66419	−	9.94288i	−0.0895051	−	0.334037i
$887$	47.2584	−	12.6629i	1.58678	−	0.425177i	0.645765	−	0.763536i	$-0.276539\pi$
$887$	47.2584	−	12.6629i	1.58678	−	0.425177i	0.941017	+	0.338359i	$0.109872\pi$
$888$	1.14001	−	4.25457i	0.0382562	−	0.142774i
$889$	0.515506	+	0.515506i	0.0172895	+	0.0172895i
$890$	0.269953	−	0.394072i	0.00904884	−	0.0132093i
$891$	−1.40258	+	5.23449i	−0.0469881	+	0.175362i
$892$		−	18.1985i		−	0.609329i
$893$	−10.4567	−	2.80186i	−0.349920	−	0.0937607i
$894$	−8.39791	+	14.5456i	−0.280868	+	0.486478i
$895$	−22.4146	−	26.1631i	−0.749238	−	0.874537i
$896$		−	0.0686422i		−	0.00229318i
$897$	−0.995720	−	6.37025i	−0.0332461	−	0.212697i
$898$	1.10366	−	1.10366i	0.0368297	−	0.0368297i
$899$	−12.1976	+	3.26833i	−0.406812	+	0.109005i
$900$	−1.80609	−	4.66241i	−0.0602030	−	0.155414i
$901$	−22.8513	+	13.1932i	−0.761289	+	0.439530i
$902$	30.8528			1.02729
$903$	−0.526708	+	0.304095i	−0.0175278	+	0.0101197i
$904$	19.3553	+	5.18622i	0.643746	+	0.172491i
$905$	−19.6640	−	6.92962i	−0.653655	−	0.230348i
$906$	−0.159891	−	0.276939i	−0.00531202	−	0.00920069i
$907$	9.50552	+	35.4751i	0.315626	+	1.17793i	0.923406	+	0.383825i	$0.125394\pi$
$907$	9.50552	+	35.4751i	0.315626	+	1.17793i	−0.607780	+	0.794105i	$0.707940\pi$
$908$	7.93810	−	13.7492i	0.263435	−	0.456283i
$909$	−5.48054			−0.181778
$910$	0.420638	+	0.359622i	0.0139440	+	0.0119213i
$911$	26.2387			0.869326			0.434663	−	0.900593i	$-0.356867\pi$
$911$	26.2387			0.869326			0.434663	+	0.900593i	$0.356867\pi$
$912$	0.570838	−	0.988721i	0.0189024	−	0.0327398i
$913$	−6.92513	−	25.8449i	−0.229188	−	0.855343i
$914$	4.43984	+	7.69003i	0.146857	+	0.254364i
$915$	−7.49176	−	15.6453i	−0.247670	−	0.517217i
$916$	−8.98337	−	2.40709i	−0.296819	−	0.0795324i
$917$	1.15272	−	0.665521i	0.0380660	−	0.0219774i
$918$	−3.40198			−0.112282
$919$	41.4582	−	23.9359i	1.36758	−	0.789572i	0.376961	−	0.926229i	$-0.376969\pi$
$919$	41.4582	−	23.9359i	1.36758	−	0.789572i	0.990618	+	0.136657i	$0.0436358\pi$
$920$	0.307640	−	3.98678i	0.0101426	−	0.131440i
$921$	17.8919	−	4.79411i	0.589557	−	0.157971i
$922$	−6.85392	+	6.85392i	−0.225722	+	0.225722i
$923$	−15.0944	−	11.0136i	−0.496839	−	0.362515i
$924$		−	0.371982i		−	0.0122373i
$925$	7.95520	+	20.5363i	0.261565	+	0.675229i
$926$	−0.187218	+	0.324272i	−0.00615238	+	0.0106562i
$927$	−1.33781	−	0.358464i	−0.0439393	−	0.0117735i
$928$		−	3.89470i		−	0.127850i
$929$	−7.65813	+	28.5805i	−0.251255	+	0.937697i	0.718881	+	0.695134i	$0.244655\pi$
$929$	−7.65813	+	28.5805i	−0.251255	+	0.937697i	−0.970136	+	0.242563i	$0.922012\pi$
$930$	1.33210	+	7.12662i	0.0436813	+	0.233691i
$931$	−5.64721	−	5.64721i	−0.185080	−	0.185080i
$932$	−6.10707	+	22.7919i	−0.200044	+	0.746573i
$933$	2.87240	−	0.769658i	0.0940382	−	0.0251975i
$934$	10.3229	+	38.5254i	0.337774	+	1.26059i
$935$	−13.7014	+	38.8802i	−0.448084	+	1.27152i
$936$	−3.56230	+	0.556815i	−0.116437	+	0.0182001i
$937$	−31.4410	−	31.4410i	−1.02713	−	1.02713i	−0.999622	−	0.0275105i	$-0.991242\pi$
$937$	−31.4410	−	31.4410i	−1.02713	−	1.02713i	−0.0275105	−	0.999622i	$-0.508758\pi$
$938$	0.0617456	+	0.0356489i	0.00201607	+	0.00116398i
$939$	11.8749	+	6.85597i	0.387523	+	0.223736i
$940$	3.89573	+	20.8418i	0.127065	+	0.679784i
$941$	7.89735	−	7.89735i	0.257446	−	0.257446i	−0.566568	−	0.824015i	$-0.691729\pi$
$941$	7.89735	−	7.89735i	0.257446	−	0.257446i	0.824015	+	0.566568i	$0.191729\pi$
$942$	11.3196	+	19.6061i	0.368812	+	0.638801i
$943$	−5.09050	−	8.81701i	−0.165770	−	0.287121i
$944$	−4.02315	+	4.02315i	−0.130942	+	0.130942i
$945$	−0.0867436	+	0.126627i	−0.00282177	+	0.00411917i
$946$	−41.5824	−	24.0076i	−1.35196	−	0.780555i
$947$	−5.53188	−	3.19383i	−0.179762	−	0.103786i	0.407419	−	0.913241i	$-0.366429\pi$
$947$	−5.53188	−	3.19383i	−0.179762	−	0.103786i	−0.587181	+	0.809456i	$0.699762\pi$
$948$	8.18911	+	8.18911i	0.265970	+	0.265970i
$949$	39.8113	+	15.3747i	1.29233	+	0.499085i
$950$	0.614027	+	5.67526i	0.0199217	+	0.184130i
$951$	1.67119	+	6.23695i	0.0541919	+	0.202247i
$952$	0.225563	−	0.0604393i	0.00731053	−	0.00195885i
$953$	−0.933097	+	3.48236i	−0.0302260	+	0.112805i	−0.979391	−	0.201975i	$-0.935264\pi$
$953$	−0.933097	+	3.48236i	−0.0302260	+	0.112805i	0.949165	+	0.314780i	$0.101931\pi$
$954$	−5.48446	−	5.48446i	−0.177566	−	0.177566i
$955$	53.2917	−	9.96124i	1.72448	−	0.322338i
$956$	−5.07117	+	18.9259i	−0.164013	+	0.612107i
$957$		−	21.1060i		−	0.682258i
$958$	32.0428	+	8.58585i	1.03526	+	0.277396i
$959$	0.412967	−	0.715280i	0.0133354	−	0.0230976i
$960$	−2.22944	−	0.172035i	−0.0719549	−	0.00555241i
$961$			20.4874i			0.660883i
$962$	15.6907	−	2.45258i	0.505888	−	0.0790742i
$963$	−7.65363	+	7.65363i	−0.246635	+	0.246635i
$964$	4.85725	−	1.30150i	0.156442	−	0.0419184i
$965$	−36.3536	−	42.4332i	−1.17026	−	1.36597i
$966$	−0.106304	+	0.0613745i	−0.00342027	+	0.00197469i
$967$	−35.8339			−1.15234			−0.576171	−	0.817329i	$-0.695454\pi$
$967$	−35.8339			−1.15234			−0.576171	+	0.817329i	$0.695454\pi$
$968$	15.9064	−	9.18357i	0.511251	−	0.295171i
$969$	3.75162	+	1.00524i	0.120519	+	0.0322931i
$970$	10.3183	−	29.2801i	0.331301	−	0.940127i
$971$	15.2263	+	26.3727i	0.488635	+	0.846340i	0.999915	−	0.0130742i	$-0.00416178\pi$
$971$	15.2263	+	26.3727i	0.488635	+	0.846340i	−0.511280	+	0.859414i	$0.670828\pi$
$972$	−0.258819	−	0.965926i	−0.00830162	−	0.0309821i
$973$	0.149405	−	0.258777i	0.00478969	−	0.00829599i
$974$	16.8724			0.540625
$975$	12.7344	−	12.7606i	0.407828	−	0.408668i
$976$	−7.75759			−0.248314
$977$	2.53586	−	4.39224i	0.0811293	−	0.140520i	−0.822606	−	0.568612i	$-0.807481\pi$
$977$	2.53586	−	4.39224i	0.0811293	−	0.140520i	0.903735	+	0.428092i	$0.140814\pi$
$978$	2.96168	+	11.0531i	0.0947041	+	0.353441i
$979$	−0.578818	−	1.00254i	−0.0184991	−	0.0320414i
$980$	−5.19886	+	14.7527i	−0.166072	+	0.471258i
$981$	−11.3925	−	3.05261i	−0.363735	−	0.0974624i
$982$	−33.3926	+	19.2792i	−1.06560	+	0.615225i
$983$	−36.6196			−1.16798			−0.583991	−	0.811760i	$-0.698510\pi$
$983$	−36.6196			−1.16798			−0.583991	+	0.811760i	$0.698510\pi$
$984$	−4.93055	+	2.84665i	−0.157180	+	0.0907479i
$985$	10.2335	+	11.9449i	0.326067	+	0.380596i
$986$	12.7982	−	3.42928i	0.407579	−	0.109210i
$987$	0.460239	−	0.460239i	0.0146496	−	0.0146496i
$988$	4.09294	+	0.438574i	0.130214	+	0.0139529i
$989$			15.8444i			0.503821i
$990$	−12.0817	−	0.932283i	−0.383980	−	0.0296299i
$991$	−26.4267	+	45.7723i	−0.839470	+	1.45401i	0.0508679	+	0.998705i	$0.483801\pi$
$991$	−26.4267	+	45.7723i	−0.839470	+	1.45401i	−0.890338	+	0.455300i	$0.849532\pi$
$992$	3.13184	+	0.839174i	0.0994360	+	0.0266438i
$993$			20.2421i			0.642363i
$994$	−0.0920695	+	0.343608i	−0.00292027	+	0.0108986i
$995$	48.7537	−	9.11300i	1.54560	−	0.288902i
$996$	3.49129	+	3.49129i	0.110626	+	0.110626i
$997$	−3.15282	+	11.7665i	−0.0998509	+	0.372649i	−0.997710	−	0.0676339i	$-0.978455\pi$
$997$	−3.15282	+	11.7665i	−0.0998509	+	0.372649i	0.897859	+	0.440282i	$0.145122\pi$
$998$	17.0480	−	4.56800i	0.539645	−	0.144597i
$999$	1.14001	+	4.25457i	0.0360683	+	0.134609i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bn.c.97.6	yes	32
5.3	odd	4		390.2.bd.c.253.1	yes	32
13.11	odd	12		390.2.bd.c.37.1	✓	32
65.63	even	12	inner	390.2.bn.c.193.6	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.c.37.1	✓	32	13.11	odd	12
390.2.bd.c.253.1	yes	32	5.3	odd	4
390.2.bn.c.97.6	yes	32	1.1	even	1	trivial
390.2.bn.c.193.6	yes	32	65.63	even	12	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:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-1.45481 - 1.69810i) q^{10} +(-5.23449 + 1.40258i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.36345 + 1.29893i) q^{13} -0.0686422i q^{14} +(-2.22944 - 0.172035i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.28606 - 0.880498i) q^{17} -1.00000i q^{18} +(-0.295488 + 1.10278i) q^{19} +(2.19800 - 0.410849i) q^{20} +(-0.0485374 - 0.0485374i) q^{21} +(1.40258 - 5.23449i) q^{22} +(-1.72731 + 0.462831i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-3.89532 - 3.13472i) q^{25} +(-2.80663 + 2.26336i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(0.0594459 + 0.0343211i) q^{28} +(3.37291 + 1.94735i) q^{29} +(1.26371 - 1.84473i) q^{30} +(-2.29267 + 2.29267i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-2.70957 - 4.69312i) q^{33} +(2.40557 - 2.40557i) q^{34} +(-0.0282016 - 0.150876i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-3.81454 - 2.20233i) q^{37} +(-0.807288 - 0.807288i) q^{38} +(-0.384149 + 3.58503i) q^{39} +(-0.743195 + 2.10895i) q^{40} +(1.47354 + 5.49931i) q^{41} +(0.0663033 - 0.0177659i) q^{42} +(2.29321 - 8.55839i) q^{43} +(3.83191 + 3.83191i) q^{44} +(-0.410849 - 2.19800i) q^{45} +(0.462831 - 1.72731i) q^{46} +9.48215i q^{47} +(-0.965926 - 0.258819i) q^{48} +(-3.49764 + 6.05810i) q^{49} +(4.66241 - 1.80609i) q^{50} -3.40198i q^{51} +(-0.556815 - 3.56230i) q^{52} +(5.48446 - 5.48446i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.932283 - 12.0817i) q^{55} +(-0.0594459 + 0.0343211i) q^{56} -1.14168 q^{57} +(-3.37291 + 1.94735i) q^{58} +(5.49573 + 1.47258i) q^{59} +(0.965733 + 2.01677i) q^{60} +(3.87879 + 6.71827i) q^{61} +(-0.839174 - 3.13184i) q^{62} +(0.0343211 - 0.0594459i) q^{63} +1.00000 q^{64} +(-5.23908 + 6.12797i) q^{65} +5.41914 q^{66} +(-0.519343 + 0.899528i) q^{67} +(0.880498 + 3.28606i) q^{68} +(-0.894121 - 1.54866i) q^{69} +(0.144763 + 0.0510145i) q^{70} +(-5.00578 - 1.34130i) q^{71} +(-0.866025 + 0.500000i) q^{72} +11.8364 q^{73} +(3.81454 - 2.20233i) q^{74} +(2.01972 - 4.57392i) q^{75} +(1.10278 - 0.295488i) q^{76} +(0.263031 - 0.263031i) q^{77} +(-2.91265 - 2.12520i) q^{78} +11.5811i q^{79} +(-1.45481 - 1.69810i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-5.49931 - 1.47354i) q^{82} +4.93743i q^{83} +(-0.0177659 + 0.0663033i) q^{84} +(4.29911 - 6.27576i) q^{85} +(6.26518 + 6.26518i) q^{86} +(-1.00802 + 3.76199i) q^{87} +(-5.23449 + 1.40258i) q^{88} +(0.0552889 + 0.206341i) q^{89} +(2.10895 + 0.743195i) q^{90} +(-0.244524 + 0.0382210i) q^{91} +(1.26448 + 1.26448i) q^{92} +(-2.80793 - 1.62116i) q^{93} +(-8.21179 - 4.74108i) q^{94} +(-2.10609 - 1.44275i) q^{95} +(0.707107 - 0.707107i) q^{96} +(6.94187 + 12.0237i) q^{97} +(-3.49764 - 6.05810i) q^{98} +(3.83191 - 3.83191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

Introduction

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