LMFDB - Embedded newform 798.2.ca.b.325.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

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("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$14$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			325.9
Character	$\chi$	$=$	798.325
Dual form			798.2.ca.b.523.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.342020 + 0.939693i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-1.14096 + 1.35974i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(-2.54385 + 0.727212i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(0.342020 + 0.939693i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-1.14096 + 1.35974i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(-2.54385 + 0.727212i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.66797 - 0.607090i) q^{10} +(-2.42521 - 4.20059i) q^{11} +(0.500000 - 0.866025i) q^{12} +(3.12140 - 2.61916i) q^{13} +(-1.55340 - 2.14171i) q^{14} +(0.607090 - 1.66797i) q^{15} +(0.173648 - 0.984808i) q^{16} +(2.57291 - 3.06628i) q^{17} +(0.866025 + 0.500000i) q^{18} +(-3.35715 - 2.78021i) q^{19} -1.77501i q^{20} +(2.14171 - 1.55340i) q^{21} +(3.11780 - 3.71564i) q^{22} +(1.41268 + 8.01173i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.321133 + 1.82124i) q^{25} +(3.52879 + 2.03735i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(1.48126 - 2.19223i) q^{28} +(1.46921 - 0.259062i) q^{29} +1.77501 q^{30} +3.00703 q^{31} +(0.984808 - 0.173648i) q^{32} +(3.71564 + 3.11780i) q^{33} +(3.76135 + 1.36902i) q^{34} +(1.91360 - 4.28868i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(6.57866 - 3.79819i) q^{37} +(1.46433 - 4.10558i) q^{38} +(-2.03735 + 3.52879i) q^{39} +(1.66797 - 0.607090i) q^{40} +(-4.73596 - 3.97394i) q^{41} +(2.19223 + 1.48126i) q^{42} +(0.378990 - 0.137941i) q^{43} +(4.55791 + 1.65894i) q^{44} +1.77501i q^{45} +(-7.04540 + 4.06766i) q^{46} +(-5.36570 - 6.39459i) q^{47} +(0.173648 + 0.984808i) q^{48} +(5.94233 - 3.69983i) q^{49} +(-1.60157 + 0.924667i) q^{50} +(-1.36902 + 3.76135i) q^{51} +(-0.707563 + 4.01279i) q^{52} +(-8.70180 - 10.3704i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(8.47877 + 1.49504i) q^{55} +(2.56664 + 0.642140i) q^{56} +(4.10558 + 1.46433i) q^{57} +(0.745940 + 1.29201i) q^{58} +(-7.67957 - 6.44392i) q^{59} +(0.607090 + 1.66797i) q^{60} +(2.94808 - 0.519825i) q^{61} +(1.02846 + 2.82568i) q^{62} +(-1.48126 + 2.19223i) q^{63} +(0.500000 + 0.866025i) q^{64} +7.23263i q^{65} +(-1.65894 + 4.55791i) q^{66} +(2.94389 - 8.08827i) q^{67} +4.00274i q^{68} +(-4.06766 - 7.04540i) q^{69} +(4.68453 + 0.331380i) q^{70} +(1.91748 + 5.26824i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(-4.13058 - 11.3487i) q^{73} +(5.81916 + 4.88286i) q^{74} +(-0.924667 - 1.60157i) q^{75} +(4.35881 - 0.0281739i) q^{76} +(9.22410 + 8.92203i) q^{77} +(-4.01279 - 0.707563i) q^{78} +(-10.9382 - 1.92871i) q^{79} +(1.14096 + 1.35974i) q^{80} +(0.173648 - 0.984808i) q^{81} +(2.11449 - 5.80952i) q^{82} +(2.17655 - 1.25663i) q^{83} +(-0.642140 + 2.56664i) q^{84} +(1.23376 + 6.99698i) q^{85} +(0.259244 + 0.308955i) q^{86} +(-1.29201 + 0.745940i) q^{87} +4.85043i q^{88} +(-9.50313 - 3.45886i) q^{89} +(-1.66797 + 0.607090i) q^{90} +(-6.03567 + 8.93267i) q^{91} +(-6.23202 - 5.22929i) q^{92} +(-2.82568 + 1.02846i) q^{93} +(4.17377 - 7.22918i) q^{94} +(7.61071 - 1.39275i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(0.787601 - 4.46670i) q^{97} +(5.50910 + 4.31854i) q^{98} +(-4.55791 - 1.65894i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - 6 q^{7}+O(q^{10}) $ 84 * q - 6 * q^7	$ 84 q - 6 q^{7} - 6 q^{10} + 6 q^{11} + 42 q^{12} - 24 q^{13} + 18 q^{17} - 6 q^{19} - 6 q^{21} + 12 q^{22} + 30 q^{23} + 24 q^{25} + 18 q^{26} - 42 q^{27} - 6 q^{28} + 12 q^{31} + 6 q^{33} + 30 q^{34} + 12 q^{35} + 18 q^{37} + 24 q^{38} + 6 q^{40} - 36 q^{41} - 6 q^{42} + 12 q^{43} - 6 q^{44} + 18 q^{46} + 18 q^{47} + 12 q^{49} - 30 q^{52} - 12 q^{53} + 30 q^{55} + 18 q^{56} + 6 q^{57} + 6 q^{59} + 36 q^{61} + 12 q^{62} + 6 q^{63} + 42 q^{64} + 6 q^{66} - 12 q^{67} - 6 q^{69} - 18 q^{70} + 42 q^{71} - 6 q^{73} + 48 q^{75} - 18 q^{76} - 96 q^{77} - 12 q^{78} - 6 q^{79} - 12 q^{82} - 54 q^{83} + 6 q^{84} - 24 q^{85} - 30 q^{86} + 24 q^{89} - 6 q^{90} + 42 q^{91} + 42 q^{92} + 36 q^{93} - 18 q^{94} + 24 q^{95} + 78 q^{97} + 12 q^{98} + 6 q^{99}+O(q^{100}) $ 84 * q - 6 * q^7 - 6 * q^10 + 6 * q^11 + 42 * q^12 - 24 * q^13 + 18 * q^17 - 6 * q^19 - 6 * q^21 + 12 * q^22 + 30 * q^23 + 24 * q^25 + 18 * q^26 - 42 * q^27 - 6 * q^28 + 12 * q^31 + 6 * q^33 + 30 * q^34 + 12 * q^35 + 18 * q^37 + 24 * q^38 + 6 * q^40 - 36 * q^41 - 6 * q^42 + 12 * q^43 - 6 * q^44 + 18 * q^46 + 18 * q^47 + 12 * q^49 - 30 * q^52 - 12 * q^53 + 30 * q^55 + 18 * q^56 + 6 * q^57 + 6 * q^59 + 36 * q^61 + 12 * q^62 + 6 * q^63 + 42 * q^64 + 6 * q^66 - 12 * q^67 - 6 * q^69 - 18 * q^70 + 42 * q^71 - 6 * q^73 + 48 * q^75 - 18 * q^76 - 96 * q^77 - 12 * q^78 - 6 * q^79 - 12 * q^82 - 54 * q^83 + 6 * q^84 - 24 * q^85 - 30 * q^86 + 24 * q^89 - 6 * q^90 + 42 * q^91 + 42 * q^92 + 36 * q^93 - 18 * q^94 + 24 * q^95 + 78 * q^97 + 12 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{18}\right)$	$1$

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 $

$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$3$	−0.939693	+	0.342020i	−0.542532	+	0.197465i
$3$	−0.939693	+	0.342020i	−0.542532	+	0.197465i
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	−1.14096	+	1.35974i	−0.510251	+	0.608093i	−0.958247	−	0.285942i	$-0.907693\pi$
$5$	−1.14096	+	1.35974i	−0.510251	+	0.608093i	0.447996	+	0.894036i	$0.352138\pi$
$6$	−0.642788	−	0.766044i	−0.262417	−	0.312736i
$7$	−2.54385	+	0.727212i	−0.961484	+	0.274860i
$7$	−2.54385	+	0.727212i	−0.961484	+	0.274860i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	−1.66797	−	0.607090i	−0.527457	−	0.191979i
$11$	−2.42521	−	4.20059i	−0.731230	−	1.26653i	−0.956358	−	0.292198i	$-0.905613\pi$
$11$	−2.42521	−	4.20059i	−0.731230	−	1.26653i	0.225128	−	0.974329i	$-0.427720\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	3.12140	−	2.61916i	0.865720	−	0.726425i	−0.0974725	−	0.995238i	$-0.531076\pi$
$13$	3.12140	−	2.61916i	0.865720	−	0.726425i	0.963192	+	0.268813i	$0.0866314\pi$
$14$	−1.55340	−	2.14171i	−0.415164	−	0.572397i
$15$	0.607090	−	1.66797i	0.156750	−	0.430667i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	2.57291	−	3.06628i	0.624023	−	0.743682i	−0.357733	−	0.933824i	$-0.616450\pi$
$17$	2.57291	−	3.06628i	0.624023	−	0.743682i	0.981757	+	0.190142i	$0.0608948\pi$
$18$	0.866025	+	0.500000i	0.204124	+	0.117851i
$19$	−3.35715	−	2.78021i	−0.770183	−	0.637823i
$19$	−3.35715	−	2.78021i	−0.770183	−	0.637823i
$20$		−	1.77501i		−	0.396905i
$21$	2.14171	−	1.55340i	0.467360	−	0.338980i
$22$	3.11780	−	3.71564i	0.664716	−	0.792178i
$23$	1.41268	+	8.01173i	0.294565	+	1.67056i	0.668964	+	0.743294i	$0.266738\pi$
$23$	1.41268	+	8.01173i	0.294565	+	1.67056i	−0.374399	+	0.927268i	$0.622151\pi$
$24$	0.984808	+	0.173648i	0.201023	+	0.0354458i
$25$	0.321133	+	1.82124i	0.0642267	+	0.364248i
$26$	3.52879	+	2.03735i	0.692053	+	0.399557i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	1.48126	−	2.19223i	0.279931	−	0.414293i
$29$	1.46921	−	0.259062i	0.272826	−	0.0481066i	−0.0355611	−	0.999368i	$-0.511322\pi$
$29$	1.46921	−	0.259062i	0.272826	−	0.0481066i	0.308387	+	0.951261i	$0.400211\pi$
$30$	1.77501			0.324071
$31$	3.00703			0.540078			0.270039	−	0.962849i	$-0.412963\pi$
$31$	3.00703			0.540078			0.270039	+	0.962849i	$0.412963\pi$
$32$	0.984808	−	0.173648i	0.174091	−	0.0306970i
$33$	3.71564	+	3.11780i	0.646811	+	0.542739i
$34$	3.76135	+	1.36902i	0.645066	+	0.234785i
$35$	1.91360	−	4.28868i	0.323457	−	0.724920i
$36$	−0.173648	+	0.984808i	−0.0289414	+	0.164135i
$37$	6.57866	−	3.79819i	1.08152	−	0.624419i	0.150217	−	0.988653i	$-0.452003\pi$
$37$	6.57866	−	3.79819i	1.08152	−	0.624419i	0.931307	+	0.364234i	$0.118669\pi$
$38$	1.46433	−	4.10558i	0.237545	−	0.666012i
$39$	−2.03735	+	3.52879i	−0.326237	+	0.565059i
$40$	1.66797	−	0.607090i	0.263728	−	0.0959893i
$41$	−4.73596	−	3.97394i	−0.739633	−	0.620626i	0.193106	−	0.981178i	$-0.438144\pi$
$41$	−4.73596	−	3.97394i	−0.739633	−	0.620626i	−0.932739	+	0.360552i	$0.882588\pi$
$42$	2.19223	+	1.48126i	0.338269	+	0.228563i
$43$	0.378990	−	0.137941i	0.0577954	−	0.0210358i	−0.312961	−	0.949766i	$-0.601321\pi$
$43$	0.378990	−	0.137941i	0.0577954	−	0.0210358i	0.370756	+	0.928730i	$0.379099\pi$
$44$	4.55791	+	1.65894i	0.687131	+	0.250095i
$45$			1.77501i			0.264603i
$46$	−7.04540	+	4.06766i	−1.03879	+	0.599744i
$47$	−5.36570	−	6.39459i	−0.782667	−	0.932746i	0.216384	−	0.976308i	$-0.430574\pi$
$47$	−5.36570	−	6.39459i	−0.782667	−	0.932746i	−0.999051	+	0.0435620i	$0.986129\pi$
$48$	0.173648	+	0.984808i	0.0250640	+	0.142145i
$49$	5.94233	−	3.69983i	0.848904	−	0.528547i
$50$	−1.60157	+	0.924667i	−0.226496	+	0.130768i
$51$	−1.36902	+	3.76135i	−0.191701	+	0.526694i
$52$	−0.707563	+	4.01279i	−0.0981214	+	0.556474i
$53$	−8.70180	−	10.3704i	−1.19528	−	1.42448i	−0.879663	−	0.475598i	$-0.842232\pi$
$53$	−8.70180	−	10.3704i	−1.19528	−	1.42448i	−0.315621	−	0.948885i	$-0.602213\pi$
$54$	−0.984808	−	0.173648i	−0.134015	−	0.0236305i
$55$	8.47877	+	1.49504i	1.14328	+	0.201591i
$56$	2.56664	+	0.642140i	0.342982	+	0.0858096i
$57$	4.10558	+	1.46433i	0.543797	+	0.193955i
$58$	0.745940	+	1.29201i	0.0979467	+	0.169649i
$59$	−7.67957	−	6.44392i	−0.999794	−	0.838927i	−0.0128385	−	0.999918i	$-0.504087\pi$
$59$	−7.67957	−	6.44392i	−0.999794	−	0.838927i	−0.986956	+	0.160990i	$0.948531\pi$
$60$	0.607090	+	1.66797i	0.0783749	+	0.215333i
$61$	2.94808	−	0.519825i	0.377463	−	0.0665568i	0.0183017	−	0.999833i	$-0.494174\pi$
$61$	2.94808	−	0.519825i	0.377463	−	0.0665568i	0.359161	+	0.933276i	$0.383063\pi$
$62$	1.02846	+	2.82568i	0.130615	+	0.358862i
$63$	−1.48126	+	2.19223i	−0.186621	+	0.276195i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$			7.23263i			0.897097i
$66$	−1.65894	+	4.55791i	−0.204202	+	0.561040i
$67$	2.94389	−	8.08827i	0.359653	−	0.988139i	−0.619497	−	0.784999i	$-0.712663\pi$
$67$	2.94389	−	8.08827i	0.359653	−	0.988139i	0.979150	−	0.203140i	$-0.0651145\pi$
$68$			4.00274i			0.485404i
$69$	−4.06766	−	7.04540i	−0.489689	−	0.848167i
$70$	4.68453	+	0.331380i	0.559909	+	0.0396075i
$71$	1.91748	+	5.26824i	0.227563	+	0.625225i	0.999951	−	0.00992686i	$-0.00315987\pi$
$71$	1.91748	+	5.26824i	0.227563	+	0.625225i	−0.772388	+	0.635152i	$0.780938\pi$
$72$	−0.984808	+	0.173648i	−0.116061	+	0.0204646i
$73$	−4.13058	−	11.3487i	−0.483448	−	1.32826i	−0.906519	−	0.422165i	$-0.861270\pi$
$73$	−4.13058	−	11.3487i	−0.483448	−	1.32826i	0.423071	−	0.906096i	$-0.360952\pi$
$74$	5.81916	+	4.88286i	0.676464	+	0.567621i
$75$	−0.924667	−	1.60157i	−0.106771	−	0.184933i
$76$	4.35881	−	0.0281739i	0.499990	−	0.00323176i
$77$	9.22410	+	8.92203i	1.05118	+	1.01676i
$78$	−4.01279	−	0.707563i	−0.454359	−	0.0801158i
$79$	−10.9382	−	1.92871i	−1.23065	−	0.216997i	−0.479745	−	0.877408i	$-0.659271\pi$
$79$	−10.9382	−	1.92871i	−1.23065	−	0.216997i	−0.750904	+	0.660411i	$0.770382\pi$
$80$	1.14096	+	1.35974i	0.127563	+	0.152023i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	2.11449	−	5.80952i	0.233507	−	0.641554i
$83$	2.17655	−	1.25663i	0.238907	−	0.137933i	−0.375767	−	0.926714i	$-0.622621\pi$
$83$	2.17655	−	1.25663i	0.238907	−	0.137933i	0.614674	+	0.788781i	$0.289287\pi$
$84$	−0.642140	+	2.56664i	−0.0700632	+	0.280044i
$85$	1.23376	+	6.99698i	0.133820	+	0.758929i
$86$	0.259244	+	0.308955i	0.0279550	+	0.0333155i
$87$	−1.29201	+	0.745940i	−0.138518	+	0.0799731i
$88$			4.85043i			0.517057i
$89$	−9.50313	−	3.45886i	−1.00733	−	0.366638i	−0.214923	−	0.976631i	$-0.568950\pi$
$89$	−9.50313	−	3.45886i	−1.00733	−	0.366638i	−0.792407	+	0.609993i	$0.791172\pi$
$90$	−1.66797	+	0.607090i	−0.175819	+	0.0639929i
$91$	−6.03567	+	8.93267i	−0.632711	+	0.936398i
$92$	−6.23202	−	5.22929i	−0.649733	−	0.545191i
$93$	−2.82568	+	1.02846i	−0.293010	+	0.106647i
$94$	4.17377	−	7.22918i	0.430492	−	0.745633i
$95$	7.61071	−	1.39275i	0.780842	−	0.142894i
$96$	−0.866025	+	0.500000i	−0.0883883	+	0.0510310i
$97$	0.787601	−	4.46670i	0.0799687	−	0.453525i	−0.918361	−	0.395745i	$-0.870487\pi$
$97$	0.787601	−	4.46670i	0.0799687	−	0.453525i	0.998329	−	0.0577805i	$-0.0184024\pi$
$98$	5.50910	+	4.31854i	0.556503	+	0.436239i
$99$	−4.55791	−	1.65894i	−0.458087	−	0.166730i
$100$	−1.41667	−	1.18873i	−0.141667	−	0.118873i
$101$	−12.1033	+	2.13414i	−1.20432	+	0.212355i	−0.739566	−	0.673084i	$-0.764969\pi$
$101$	−12.1033	+	2.13414i	−1.20432	+	0.212355i	−0.464756	+	0.885439i	$0.653858\pi$
$102$	−4.00274			−0.396331
$103$	8.57096			0.844522			0.422261	−	0.906474i	$-0.361237\pi$
$103$	8.57096			0.844522			0.422261	+	0.906474i	$0.361237\pi$
$104$	−4.01279	+	0.707563i	−0.393487	+	0.0693823i
$105$	−0.331380	+	4.68453i	−0.0323394	+	0.457164i
$106$	6.76880	−	11.7239i	0.657444	−	1.13873i
$107$	7.23782	+	4.17876i	0.699707	+	0.403976i	0.807238	−	0.590226i	$-0.200961\pi$
$107$	7.23782	+	4.17876i	0.699707	+	0.403976i	−0.107531	+	0.994202i	$0.534295\pi$
$108$	−0.173648	−	0.984808i	−0.0167093	−	0.0947632i
$109$	14.6906	+	2.59036i	1.40711	+	0.248111i	0.825061	−	0.565044i	$-0.191141\pi$
$109$	14.6906	+	2.59036i	1.40711	+	0.248111i	0.582047	+	0.813155i	$0.302252\pi$
$110$	1.49504	+	8.47877i	0.142546	+	0.808419i
$111$	−4.88286	+	5.81916i	−0.463460	+	0.552331i
$112$	0.274429	+	2.63148i	0.0259311	+	0.248652i
$113$			8.33512i			0.784102i	0.919943	+	0.392051i	$0.128234\pi$
$113$			8.33512i			0.784102i	−0.919943	+	0.392051i	$0.871766\pi$
$114$	0.0281739	+	4.35881i	0.00263872	+	0.408240i
$115$	−12.5057	−	7.22015i	−1.16616	−	0.673283i
$116$	−0.958962	+	1.14285i	−0.0890374	+	0.106111i
$117$	0.707563	−	4.01279i	0.0654143	−	0.370983i
$118$	3.42874	−	9.42038i	0.315641	−	0.867217i
$119$	−4.31527	+	9.67120i	−0.395580	+	0.886558i
$120$	−1.35974	+	1.14096i	−0.124127	+	0.104155i
$121$	−6.26333	+	10.8484i	−0.569394	+	0.986219i
$122$	1.49678	+	2.59249i	0.135512	+	0.234713i
$123$	5.80952	+	2.11449i	0.523827	+	0.190657i
$124$	−2.30352	+	1.93288i	−0.206862	+	0.173578i
$125$	−10.5288	−	6.07882i	−0.941727	−	0.543707i
$126$	−2.56664	−	0.642140i	−0.228655	−	0.0572064i
$127$	−7.75120	−	9.23753i	−0.687808	−	0.819698i	0.303281	−	0.952901i	$-0.401918\pi$
$127$	−7.75120	−	9.23753i	−0.687808	−	0.819698i	−0.991089	+	0.133203i	$0.957474\pi$
$128$	−0.642788	+	0.766044i	−0.0568149	+	0.0677094i
$129$	−0.308955	+	0.259244i	−0.0272020	+	0.0228252i
$130$	−6.79645	+	2.47371i	−0.596088	+	0.216958i
$131$	3.69702	+	10.1575i	0.323010	+	0.887463i	0.989831	+	0.142245i	$0.0454321\pi$
$131$	3.69702	+	10.1575i	0.323010	+	0.887463i	−0.666821	+	0.745218i	$0.732346\pi$
$132$	−4.85043			−0.422176
$133$	10.5619	+	4.63106i	0.915831	+	0.401564i
$134$	8.60735			0.743562
$135$	−0.607090	−	1.66797i	−0.0522500	−	0.143556i
$136$	−3.76135	+	1.36902i	−0.322533	+	0.117392i
$137$	−6.45507	+	5.41644i	−0.551494	+	0.462758i	−0.875446	−	0.483315i	$-0.839433\pi$
$137$	−6.45507	+	5.41644i	−0.551494	+	0.462758i	0.323953	+	0.946073i	$0.394988\pi$
$138$	5.22929	−	6.23202i	0.445147	−	0.530505i
$139$	−10.7204	−	12.7761i	−0.909296	−	1.08366i	−0.996170	−	0.0874377i	$-0.972132\pi$
$139$	−10.7204	−	12.7761i	−0.909296	−	1.08366i	0.0868738	−	0.996219i	$-0.472312\pi$
$140$	1.29081	+	4.51536i	0.109093	+	0.381618i
$141$	7.22918	+	4.17377i	0.608807	+	0.351495i
$142$	−4.29471	+	3.60369i	−0.360404	+	0.302415i
$143$	−18.5721	−	6.75969i	−1.55308	−	0.565274i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−1.32405	+	2.29332i	−0.109957	+	0.190450i
$146$	9.25152	−	7.76295i	0.765661	−	0.642466i
$147$	−4.31854	+	5.50910i	−0.356187	+	0.454383i
$148$	−2.59811	+	7.13826i	−0.213564	+	0.586762i
$149$	0.0231636	−	0.131367i	0.00189764	−	0.0107620i	−0.983844	−	0.179027i	$-0.942705\pi$
$149$	0.0231636	−	0.131367i	0.00189764	−	0.0107620i	0.985742	+	0.168265i	$0.0538163\pi$
$150$	1.18873	−	1.41667i	0.0970593	−	0.115671i
$151$	8.01468	+	4.62728i	0.652225	+	0.376562i	0.789308	−	0.613997i	$-0.210439\pi$
$151$	8.01468	+	4.62728i	0.652225	+	0.376562i	−0.137083	+	0.990560i	$0.543773\pi$
$152$	1.51727	+	4.08630i	0.123067	+	0.331443i
$153$		−	4.00274i		−	0.323603i
$154$	−5.22914	+	11.7193i	−0.421376	+	0.944371i
$155$	−3.43089	+	4.08877i	−0.275575	+	0.328418i
$156$	−0.707563	−	4.01279i	−0.0566504	−	0.321280i
$157$	−4.33201	−	0.763851i	−0.345732	−	0.0609619i	−0.00191405	−	0.999998i	$-0.500609\pi$
$157$	−4.33201	−	0.763851i	−0.345732	−	0.0609619i	−0.343818	+	0.939036i	$0.611720\pi$
$158$	−1.92871	−	10.9382i	−0.153440	−	0.870200i
$159$	11.7239	+	6.76880i	0.929766	+	0.536800i
$160$	−0.887506	+	1.53721i	−0.0701635	+	0.121527i
$161$	−9.41988	−	19.3533i	−0.742391	−	1.52525i
$162$	0.984808	−	0.173648i	0.0773738	−	0.0136431i
$163$	11.3218			0.886791			0.443395	−	0.896326i	$-0.353774\pi$
$163$	11.3218			0.886791			0.443395	+	0.896326i	$0.353774\pi$
$164$	6.18236			0.482761
$165$	−8.47877	+	1.49504i	−0.660071	+	0.116388i
$166$	1.92527	+	1.61549i	0.149430	+	0.125386i
$167$	−20.6499	−	7.51596i	−1.59794	−	0.581603i	−0.618936	−	0.785442i	$-0.712436\pi$
$167$	−20.6499	−	7.51596i	−1.59794	−	0.581603i	−0.979004	+	0.203839i	$0.934658\pi$
$168$	−2.63148	+	0.274429i	−0.203023	+	0.0211727i
$169$	0.625678	−	3.54840i	0.0481291	−	0.272954i
$170$	−6.15304	+	3.55246i	−0.471916	+	0.272461i
$171$	−4.35881	+	0.0281739i	−0.333326	+	0.00215451i
$172$	−0.201656	+	0.349279i	−0.0153761	+	0.0266323i
$173$	10.5377	−	3.83542i	0.801170	−	0.291602i	0.0911986	−	0.995833i	$-0.470930\pi$
$173$	10.5377	−	3.83542i	0.801170	−	0.291602i	0.709971	+	0.704231i	$0.248708\pi$
$174$	−1.14285	−	0.958962i	−0.0866389	−	0.0726987i
$175$	−2.14134	−	4.39942i	−0.161870	−	0.332565i
$176$	−4.55791	+	1.65894i	−0.343566	+	0.125048i
$177$	9.42038	+	3.42874i	0.708079	+	0.257720i
$178$		−	10.1130i		−	0.758003i
$179$	7.48699	−	4.32262i	0.559604	−	0.323088i	−0.193382	−	0.981123i	$-0.561946\pi$
$179$	7.48699	−	4.32262i	0.559604	−	0.323088i	0.752987	+	0.658036i	$0.228612\pi$
$180$	−1.14096	−	1.35974i	−0.0850418	−	0.101349i
$181$	4.41724	+	25.0514i	0.328331	+	1.86206i	0.485150	+	0.874431i	$0.338765\pi$
$181$	4.41724	+	25.0514i	0.328331	+	1.86206i	−0.156819	+	0.987627i	$0.550124\pi$
$182$	−10.4583	−	2.61653i	−0.775220	−	0.193950i
$183$	−2.59249	+	1.49678i	−0.191643	+	0.110645i
$184$	2.78245	−	7.64471i	0.205125	−	0.563575i
$185$	−2.34141	+	13.2788i	−0.172144	+	0.976278i
$186$	−1.93288	−	2.30352i	−0.141726	−	0.168902i
$187$	−19.1201	−	3.37138i	−1.39820	−	0.246540i
$188$	8.22072	+	1.44954i	0.599558	+	0.105718i
$189$	0.642140	−	2.56664i	0.0467088	−	0.186696i
$190$	3.91178	+	6.67538i	0.283790	+	0.484283i
$191$	5.72945	+	9.92371i	0.414569	+	0.718054i	0.995383	−	0.0959819i	$-0.0305991\pi$
$191$	5.72945	+	9.92371i	0.414569	+	0.718054i	−0.580814	+	0.814036i	$0.697266\pi$
$192$	−0.766044	−	0.642788i	−0.0552845	−	0.0463892i
$193$	−1.82713	−	5.02000i	−0.131520	−	0.361348i	0.856400	−	0.516313i	$-0.172696\pi$
$193$	−1.82713	−	5.02000i	−0.131520	−	0.361348i	−0.987920	+	0.154965i	$0.950474\pi$
$194$	4.46670	−	0.787601i	0.320691	−	0.0565464i
$195$	−2.47371	−	6.79645i	−0.177146	−	0.486704i
$196$	−2.17388	+	6.65389i	−0.155277	+	0.475278i
$197$	3.82904	+	6.63210i	0.272808	+	0.472517i	0.969580	−	0.244776i	$-0.0787143\pi$
$197$	3.82904	+	6.63210i	0.272808	+	0.472517i	−0.696772	+	0.717293i	$0.745381\pi$
$198$		−	4.85043i		−	0.344705i
$199$	1.40806	−	3.86862i	0.0998148	−	0.274239i	−0.879727	−	0.475479i	$-0.842275\pi$
$199$	1.40806	−	3.86862i	0.0998148	−	0.274239i	0.979542	+	0.201240i	$0.0644971\pi$
$200$	0.632509	−	1.73781i	0.0447252	−	0.122881i
$201$			8.60735i			0.607116i
$202$	−6.14500	−	10.6435i	−0.432361	−	0.748871i
$203$	−3.54907	+	1.72744i	−0.249096	+	0.121243i
$204$	−1.36902	−	3.76135i	−0.0958505	−	0.263347i
$205$	10.8070	−	1.90557i	0.754797	−	0.133091i
$206$	2.93144	+	8.05407i	0.204243	+	0.561153i
$207$	6.23202	+	5.22929i	0.433156	+	0.363461i
$208$	−2.03735	−	3.52879i	−0.141265	−	0.244678i
$209$	−3.53671	+	20.8446i	−0.244639	+	1.44185i
$210$	−4.51536	+	1.29081i	−0.311589	+	0.0890743i
$211$	−16.6289	−	2.93212i	−1.14478	−	0.201855i	−0.431083	−	0.902312i	$-0.641868\pi$
$211$	−16.6289	−	2.93212i	−1.14478	−	0.201855i	−0.713694	+	0.700457i	$0.752979\pi$
$212$	13.3319	+	2.35078i	0.915640	+	0.161452i
$213$	−3.60369	−	4.29471i	−0.246921	−	0.294268i
$214$	−1.45127	+	8.23055i	−0.0992066	+	0.562629i
$215$	−0.244847	+	0.672711i	−0.0166984	+	0.0458785i
$216$	0.866025	−	0.500000i	0.0589256	−	0.0340207i
$217$	−7.64943	+	2.18675i	−0.519277	+	0.148446i
$218$	2.59036	+	14.6906i	0.175441	+	0.994975i
$219$	7.76295	+	9.25152i	0.524571	+	0.625160i
$220$	−7.45610	+	4.30478i	−0.502690	+	0.290228i
$221$		−	16.3100i		−	1.09713i
$222$	−7.13826	−	2.59811i	−0.479089	−	0.174374i
$223$	−0.797386	+	0.290225i	−0.0533969	+	0.0194349i	−0.368581	−	0.929596i	$-0.620156\pi$
$223$	−0.797386	+	0.290225i	−0.0533969	+	0.0194349i	0.315184	+	0.949031i	$0.397934\pi$
$224$	−2.37892	+	1.15790i	−0.158948	+	0.0773653i
$225$	1.41667	+	1.18873i	0.0944448	+	0.0792486i
$226$	−7.83245	+	2.85078i	−0.521007	+	0.189631i
$227$	−5.03717	+	8.72463i	−0.334329	+	0.579074i	−0.983356	−	0.181691i	$-0.941843\pi$
$227$	−5.03717	+	8.72463i	−0.334329	+	0.579074i	0.649027	+	0.760765i	$0.275176\pi$
$228$	−4.08630	+	1.51727i	−0.270622	+	0.100484i
$229$	25.1398	−	14.5145i	1.66129	−	0.959144i	0.689185	−	0.724585i	$-0.257969\pi$
$229$	25.1398	−	14.5145i	1.66129	−	0.959144i	0.972102	−	0.234559i	$-0.0753646\pi$
$230$	2.50753	−	14.2209i	0.165342	−	0.937700i
$231$	−11.7193	−	5.22914i	−0.771075	−	0.344052i
$232$	−1.40191	−	0.510253i	−0.0920398	−	0.0334997i
$233$	−16.8513	−	14.1399i	−1.10396	−	0.926335i	−0.106278	−	0.994336i	$-0.533893\pi$
$233$	−16.8513	−	14.1399i	−1.10396	−	0.926335i	−0.997685	+	0.0680013i	$0.978338\pi$
$234$	4.01279	−	0.707563i	0.262324	−	0.0462549i
$235$	14.8170			0.966553
$236$	10.0250			0.652569
$237$	10.9382	−	1.92871i	0.710515	−	0.125283i
$238$	−10.5639	−	0.747279i	−0.684754	−	0.0484389i
$239$	6.28160	−	10.8800i	0.406323	−	0.703772i	−0.588152	−	0.808751i	$-0.700144\pi$
$239$	6.28160	−	10.8800i	0.406323	−	0.703772i	0.994474	+	0.104979i	$0.0334775\pi$
$240$	−1.53721	−	0.887506i	−0.0992262	−	0.0572883i
$241$	−0.539547	−	3.05992i	−0.0347553	−	0.197107i	0.962486	−	0.271330i	$-0.0874634\pi$
$241$	−0.539547	−	3.05992i	−0.0347553	−	0.197107i	−0.997242	+	0.0742230i	$0.976352\pi$
$242$	−12.3364	−	2.17523i	−0.793011	−	0.139829i
$243$	0.173648	+	0.984808i	0.0111395	+	0.0631754i
$244$	−1.92422	+	2.29320i	−0.123186	+	0.146807i
$245$	−1.74913	+	12.3013i	−0.111748	+	0.785904i
$246$			6.18236i			0.394173i
$247$	−17.7608	+	0.114800i	−1.13009	+	0.00730454i
$248$	−2.60416	−	1.50351i	−0.165365	−	0.0954733i
$249$	−1.61549	+	1.92527i	−0.102378	+	0.122009i
$250$	2.11115	−	11.9729i	0.133521	−	0.757236i
$251$	1.40945	−	3.87243i	0.0889636	−	0.244425i	−0.887230	−	0.461328i	$-0.847373\pi$
$251$	1.40945	−	3.87243i	0.0889636	−	0.244425i	0.976193	+	0.216903i	$0.0695954\pi$
$252$	−0.274429	−	2.63148i	−0.0172874	−	0.165768i
$253$	30.2280	−	25.3643i	1.90042	−	1.59464i
$254$	6.02937	−	10.4432i	0.378316	−	0.655263i
$255$	−3.55246	−	6.15304i	−0.222464	−	0.385318i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	6.02048	−	5.05178i	0.375547	−	0.315121i	−0.435404	−	0.900235i	$-0.643395\pi$
$257$	6.02048	−	5.05178i	0.375547	−	0.315121i	0.810951	+	0.585114i	$0.198950\pi$
$258$	−0.349279	−	0.201656i	−0.0217452	−	0.0125546i
$259$	−13.9730	+	14.4461i	−0.868241	+	0.897637i
$260$	−4.64905	−	5.54052i	−0.288322	−	0.343608i
$261$	0.958962	−	1.14285i	0.0593582	−	0.0707404i
$262$	−8.28045	+	6.94812i	−0.511568	+	0.429256i
$263$	−25.6027	+	9.31864i	−1.57873	+	0.574612i	−0.974928	−	0.222520i	$-0.928572\pi$
$263$	−25.6027	+	9.31864i	−1.57873	+	0.574612i	−0.603805	+	0.797132i	$0.706349\pi$
$264$	−1.65894	−	4.55791i	−0.102101	−	0.280520i
$265$	24.0294			1.47611
$266$	−0.739399	+	11.5088i	−0.0453354	+	0.705652i
$267$	10.1130			0.618907
$268$	2.94389	+	8.08827i	0.179827	+	0.494069i
$269$	15.0906	−	5.49251i	0.920088	−	0.334884i	0.161814	−	0.986821i	$-0.448265\pi$
$269$	15.0906	−	5.49251i	0.920088	−	0.334884i	0.758273	+	0.651937i	$0.226043\pi$
$270$	1.35974	−	1.14096i	0.0827510	−	0.0694363i
$271$	5.80791	−	6.92159i	0.352805	−	0.420457i	−0.560230	−	0.828337i	$-0.689287\pi$
$271$	5.80791	−	6.92159i	0.352805	−	0.420457i	0.913036	+	0.407880i	$0.133732\pi$
$272$	−2.57291	−	3.06628i	−0.156006	−	0.185920i
$273$	2.61653	−	10.4583i	0.158359	−	0.632964i
$274$	−7.29756	−	4.21325i	−0.440861	−	0.254531i
$275$	6.87147	−	5.76585i	0.414365	−	0.347694i
$276$	7.64471	+	2.78245i	0.460157	+	0.167484i
$277$	−9.80587	−	16.9843i	−0.589178	−	1.02049i	−0.994340	−	0.106241i	$-0.966118\pi$
$277$	−9.80587	−	16.9843i	−0.589178	−	1.02049i	0.405163	−	0.914245i	$-0.367215\pi$
$278$	8.33903	−	14.4436i	0.500142	−	0.866271i
$279$	2.30352	−	1.93288i	0.137908	−	0.115719i
$280$	−3.80157	+	2.75731i	−0.227187	+	0.164781i
$281$	−7.66353	+	21.0554i	−0.457168	+	1.25606i	0.470417	+	0.882444i	$0.344104\pi$
$281$	−7.66353	+	21.0554i	−0.457168	+	1.25606i	−0.927585	+	0.373613i	$0.878119\pi$
$282$	−1.44954	+	8.22072i	−0.0863186	+	0.489537i
$283$	−13.0946	+	15.6056i	−0.778396	+	0.927656i	−0.998860	−	0.0477390i	$-0.984798\pi$
$283$	−13.0946	+	15.6056i	−0.778396	+	0.927656i	0.220464	+	0.975395i	$0.429243\pi$
$284$	−4.85523	−	2.80317i	−0.288105	−	0.166338i
$285$	−6.67538	+	3.91178i	−0.395415	+	0.231714i
$286$		−	19.7640i		−	1.16867i
$287$	14.9375	+	6.66506i	0.881731	+	0.393426i
$288$	0.642788	−	0.766044i	0.0378766	−	0.0451396i
$289$	0.169836	+	0.963190i	0.00999038	+	0.0566582i
$290$	−2.60787	−	0.459838i	−0.153140	−	0.0270026i
$291$	0.787601	+	4.46670i	0.0461700	+	0.261843i
$292$	10.4590	+	6.03850i	0.612066	+	0.353377i
$293$	−6.35527	+	11.0077i	−0.371279	+	0.643074i	−0.989763	−	0.142724i	$-0.954414\pi$
$293$	−6.35527	+	11.0077i	−0.371279	+	0.643074i	0.618484	+	0.785798i	$0.287747\pi$
$294$	−6.65389	−	2.17388i	−0.388063	−	0.126783i
$295$	17.5241	−	3.08997i	1.02029	−	0.179905i
$296$	−7.59638			−0.441531
$297$	4.85043			0.281450
$298$	0.131367	−	0.0231636i	0.00760990	−	0.00134183i
$299$	25.3936	+	21.3078i	1.46855	+	1.23226i
$300$	1.73781	+	0.632509i	0.100332	+	0.0365179i
$301$	−0.863780	+	0.626507i	−0.0497875	+	0.0361113i
$302$	−1.60704	+	9.11395i	−0.0924745	+	0.524449i
$303$	10.6435	−	6.14500i	0.611450	−	0.353021i
$304$	−3.32093	+	2.82337i	−0.190468	+	0.161931i
$305$	−2.65680	+	4.60171i	−0.152128	+	0.263493i
$306$	3.76135	−	1.36902i	0.215022	−	0.0782616i
$307$	1.55637	+	1.30595i	0.0888267	+	0.0745345i	0.686120	−	0.727489i	$-0.259313\pi$
$307$	1.55637	+	1.30595i	0.0888267	+	0.0745345i	−0.597293	+	0.802023i	$0.703757\pi$
$308$	−12.8010	−	0.905536i	−0.729407	−	0.0515977i
$309$	−8.05407	+	2.93144i	−0.458180	+	0.166764i
$310$	−5.01562	−	1.82554i	−0.284868	−	0.103684i
$311$		−	25.2739i		−	1.43315i	−0.697509	−	0.716576i	$-0.745708\pi$
$311$		−	25.2739i		−	1.43315i	0.697509	−	0.716576i	$-0.254292\pi$
$312$	3.52879	−	2.03735i	0.199778	−	0.115342i
$313$	15.1054	+	18.0019i	0.853809	+	1.01753i	0.999602	+	0.0282149i	$0.00898227\pi$
$313$	15.1054	+	18.0019i	0.853809	+	1.01753i	−0.145793	+	0.989315i	$0.546573\pi$
$314$	−0.763851	−	4.33201i	−0.0431066	−	0.244470i
$315$	−1.29081	−	4.51536i	−0.0727289	−	0.254412i
$316$	9.61893	−	5.55349i	0.541107	−	0.312408i
$317$	4.86771	−	13.3739i	0.273398	−	0.751154i	−0.724674	−	0.689091i	$-0.758010\pi$
$317$	4.86771	−	13.3739i	0.273398	−	0.751154i	0.998072	−	0.0620630i	$-0.0197680\pi$
$318$	−2.35078	+	13.3319i	−0.131825	+	0.747617i
$319$	−4.65138	−	5.54329i	−0.260427	−	0.310365i
$320$	−1.74805	−	0.308228i	−0.0977187	−	0.0172304i
$321$	−8.23055	−	1.45127i	−0.459385	−	0.0810019i
$322$	14.9644	−	15.4710i	0.833932	−	0.862166i
$323$	−17.1625	+	3.14073i	−0.954949	+	0.174755i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	5.77251	+	4.84371i	0.320201	+	0.268681i
$326$	3.87228	+	10.6390i	0.214466	+	0.589240i
$327$	−14.6906	+	2.59036i	−0.812394	+	0.143247i
$328$	2.11449	+	5.80952i	0.116753	+	0.320777i
$329$	18.2997	+	12.3649i	1.00890	+	0.681697i
$330$	−4.30478	−	7.45610i	−0.236971	−	0.410445i
$331$			20.7470i			1.14036i	0.821520	+	0.570179i	$0.193126\pi$
$331$			20.7470i			1.14036i	−0.821520	+	0.570179i	$0.806874\pi$
$332$	−0.859585	+	2.36169i	−0.0471759	+	0.129615i
$333$	2.59811	−	7.13826i	0.142376	−	0.391174i
$334$		−	21.9752i		−	1.20243i
$335$	7.63908	+	13.2313i	0.417367	+	0.722901i
$336$	−1.15790	−	2.37892i	−0.0631685	−	0.129781i
$337$	−8.91053	−	24.4815i	−0.485387	−	1.33359i	−0.904816	−	0.425803i	$-0.859992\pi$
$337$	−8.91053	−	24.4815i	−0.485387	−	1.33359i	0.419428	−	0.907788i	$-0.362230\pi$
$338$	3.54840	−	0.625678i	0.193007	−	0.0340324i
$339$	−2.85078	−	7.83245i	−0.154833	−	0.425400i
$340$	−5.44268	−	4.56695i	−0.295171	−	0.247678i
$341$	−7.29269	−	12.6313i	−0.394921	−	0.684024i
$342$	−1.51727	−	4.08630i	−0.0820448	−	0.220962i
$343$	−12.4258	+	13.7331i	−0.670931	+	0.741520i
$344$	−0.397185	−	0.0700345i	−0.0214148	−	0.00377601i
$345$	14.2209	+	2.50753i	0.765629	+	0.135001i
$346$	7.20824	+	8.59045i	0.387517	+	0.461825i
$347$	0.804701	−	4.56368i	0.0431986	−	0.244991i	−0.955560	−	0.294795i	$-0.904749\pi$
$347$	0.804701	−	4.56368i	0.0431986	−	0.244991i	0.998759	+	0.0498039i	$0.0158596\pi$
$348$	0.510253	−	1.40191i	0.0273524	−	0.0751502i
$349$	−24.0388	+	13.8788i	−1.28677	+	0.742917i	−0.978077	−	0.208245i	$-0.933225\pi$
$349$	−24.0388	+	13.8788i	−1.28677	+	0.742917i	−0.308693	+	0.951162i	$0.599891\pi$
$350$	3.40172	−	3.51689i	0.181830	−	0.187986i
$351$	0.707563	+	4.01279i	0.0377669	+	0.214187i
$352$	−3.11780	−	3.71564i	−0.166179	−	0.198045i
$353$	12.4227	−	7.17226i	0.661195	−	0.381741i	−0.131537	−	0.991311i	$-0.541991\pi$
$353$	12.4227	−	7.17226i	0.661195	−	0.381741i	0.792732	+	0.609570i	$0.208658\pi$
$354$			10.0250i			0.532821i
$355$	−9.35118	−	3.40355i	−0.496309	−	0.180642i
$356$	9.50313	−	3.45886i	0.503665	−	0.183319i
$357$	0.747279	−	10.5639i	0.0395502	−	0.559099i
$358$	6.62263	+	5.55705i	0.350017	+	0.293699i
$359$	−13.6881	+	4.98206i	−0.722431	+	0.262943i	−0.676957	−	0.736022i	$-0.736702\pi$
$359$	−13.6881	+	4.98206i	−0.722431	+	0.262943i	−0.0454734	+	0.998966i	$0.514480\pi$
$360$	0.887506	−	1.53721i	0.0467757	−	0.0810178i
$361$	3.54092	+	18.6671i	0.186364	+	0.982481i
$362$	−22.0299	+	12.7189i	−1.15786	+	0.668493i
$363$	2.17523	−	12.3364i	0.114170	−	0.647491i
$364$	−1.11821	−	10.7225i	−0.0586104	−	0.562011i
$365$	20.1440	+	7.33182i	1.05439	+	0.383765i
$366$	−2.29320	−	1.92422i	−0.119867	−	0.100581i
$367$	−1.73891	+	0.306617i	−0.0907703	+	0.0160053i	−0.218849	−	0.975759i	$-0.570230\pi$
$367$	−1.73891	+	0.306617i	−0.0907703	+	0.0160053i	0.128079	+	0.991764i	$0.459119\pi$
$368$	8.13533			0.424083
$369$	−6.18236			−0.321841
$370$	−13.2788	+	2.34141i	−0.690333	+	0.121724i
$371$	29.6775	+	20.0527i	1.54078	+	1.04108i
$372$	1.50351	−	2.60416i	0.0779536	−	0.135020i
$373$	27.0027	+	15.5900i	1.39815	+	0.807220i	0.994198	−	0.107562i	$-0.0343045\pi$
$373$	27.0027	+	15.5900i	1.39815	+	0.807220i	0.403947	+	0.914782i	$0.367638\pi$
$374$	−3.37138	−	19.1201i	−0.174330	−	0.988675i
$375$	11.9729	+	2.11115i	0.618280	+	0.109019i
$376$	1.44954	+	8.22072i	0.0747541	+	0.423951i
$377$	3.90748	−	4.65675i	0.201245	−	0.239835i
$378$	2.63148	−	0.274429i	0.135349	−	0.0141151i
$379$			14.7856i			0.759485i	0.925092	+	0.379742i	$0.123987\pi$
$379$			14.7856i			0.759485i	−0.925092	+	0.379742i	$0.876013\pi$
$380$	−4.93490	+	5.95898i	−0.253155	+	0.305689i
$381$	10.4432	+	6.02937i	0.535020	+	0.308894i
$382$	−7.36564	+	8.77803i	−0.376859	+	0.449123i
$383$	2.12398	−	12.0457i	0.108530	−	0.615507i	−0.881221	−	0.472705i	$-0.843278\pi$
$383$	2.12398	−	12.0457i	0.108530	−	0.615507i	0.989751	−	0.142802i	$-0.0456112\pi$
$384$	0.342020	−	0.939693i	0.0174536	−	0.0479535i
$385$	−22.6559	+	2.36272i	−1.15465	+	0.120415i
$386$	4.09234	−	3.43388i	0.208295	−	0.174780i
$387$	0.201656	−	0.349279i	0.0102508	−	0.0177548i
$388$	2.26781	+	3.92795i	0.115130	+	0.199412i
$389$	19.6697	+	7.15919i	0.997294	+	0.362985i	0.788540	−	0.614983i	$-0.210837\pi$
$389$	19.6697	+	7.15919i	0.997294	+	0.362985i	0.208754	+	0.977968i	$0.433059\pi$
$390$	5.54052	−	4.64905i	0.280555	−	0.235414i
$391$	28.2009	+	16.2818i	1.42618	+	0.823407i
$392$	−6.99612	+	0.232985i	−0.353358	+	0.0117675i
$393$	−6.94812	−	8.28045i	−0.350486	−	0.417693i
$394$	−4.92252	+	5.86643i	−0.247993	+	0.295547i
$395$	15.1026	−	12.6726i	0.759894	−	0.637626i
$396$	4.55791	−	1.65894i	0.229044	−	0.0833651i
$397$	−2.86447	−	7.87007i	−0.143764	−	0.394988i	0.846823	−	0.531875i	$-0.178512\pi$
$397$	−2.86447	−	7.87007i	−0.143764	−	0.394988i	−0.990587	+	0.136887i	$0.956290\pi$
$398$	4.11690			0.206361
$399$	−11.5088	−	0.739399i	−0.576162	−	0.0370162i
$400$	1.84933			0.0924667
$401$	11.8755	+	32.6275i	0.593032	+	1.62934i	0.764846	+	0.644213i	$0.222815\pi$
$401$	11.8755	+	32.6275i	0.593032	+	1.62934i	−0.171815	+	0.985129i	$0.554963\pi$
$402$	−8.08827	+	2.94389i	−0.403406	+	0.146828i
$403$	9.38613	−	7.87590i	0.467557	−	0.392327i
$404$	7.89986	−	9.41469i	0.393033	−	0.468398i
$405$	1.14096	+	1.35974i	0.0566945	+	0.0675659i
$406$	−2.83712	−	2.74421i	−0.140804	−	0.136193i
$407$	−31.9093	−	18.4229i	−1.58169	−	0.913187i
$408$	3.06628	−	2.57291i	0.151803	−	0.127378i
$409$	−28.6354	−	10.4224i	−1.41593	−	0.515357i	−0.483067	−	0.875584i	$-0.660477\pi$
$409$	−28.6354	−	10.4224i	−1.41593	−	0.515357i	−0.932865	+	0.360227i	$0.882699\pi$
$410$	5.48688	+	9.50355i	0.270978	+	0.469347i
$411$	4.21325	−	7.29756i	0.207824	−	0.359962i
$412$	−6.56573	+	5.50931i	−0.323471	+	0.271424i
$413$	24.2217	+	10.8077i	1.19187	+	0.531812i
$414$	−2.78245	+	7.64471i	−0.136750	+	0.375717i
$415$	−0.774656	+	4.39329i	−0.0380263	+	0.215658i
$416$	2.61916	−	3.12140i	0.128415	−	0.153039i
$417$	14.4436	+	8.33903i	0.707307	+	0.408364i
$418$	−20.7972	+	3.80586i	−1.01722	+	0.186151i
$419$		−	29.1620i		−	1.42466i	−0.701846	−	0.712329i	$-0.747640\pi$
$419$		−	29.1620i		−	1.42466i	0.701846	−	0.712329i	$-0.252360\pi$
$420$	−2.75731	−	3.80157i	−0.134543	−	0.185498i
$421$	−10.0419	+	11.9674i	−0.489411	+	0.583257i	−0.953067	−	0.302758i	$-0.902093\pi$
$421$	−10.0419	+	11.9674i	−0.489411	+	0.583257i	0.463657	+	0.886015i	$0.346537\pi$
$422$	−2.93212	−	16.6289i	−0.142733	−	0.809480i
$423$	−8.22072	−	1.44954i	−0.399705	−	0.0704788i
$424$	2.35078	+	13.3319i	0.114164	+	0.647455i
$425$	6.41067	+	3.70120i	0.310963	+	0.179535i
$426$	2.80317	−	4.85523i	0.135814	−	0.235237i
$427$	−7.12144	+	3.46623i	−0.344630	+	0.167743i
$428$	−8.23055	+	1.45127i	−0.397839	+	0.0701497i
$429$	19.7640			0.954216
$430$	−0.715884			−0.0345230
$431$	37.5759	−	6.62565i	1.80997	−	0.319146i	0.836500	−	0.547967i	$-0.184598\pi$
$431$	37.5759	−	6.62565i	1.80997	−	0.319146i	0.973469	+	0.228821i	$0.0734870\pi$
$432$	0.766044	+	0.642788i	0.0368563	+	0.0309261i
$433$	30.6856	+	11.1687i	1.47466	+	0.536732i	0.949361	−	0.314187i	$-0.101732\pi$
$433$	30.6856	+	11.1687i	1.47466	+	0.536732i	0.525297	+	0.850919i	$0.323954\pi$
$434$	−4.67113	−	6.44020i	−0.224221	−	0.309139i
$435$	0.459838	−	2.60787i	0.0220476	−	0.125038i
$436$	−12.9187	+	7.45863i	−0.618695	+	0.357204i
$437$	17.5317	−	30.8242i	0.838654	−	1.47452i
$438$	−6.03850	+	10.4590i	−0.288531	+	0.499750i
$439$	−6.72880	+	2.44908i	−0.321148	+	0.116888i	−0.497564	−	0.867427i	$-0.665772\pi$
$439$	−6.72880	+	2.44908i	−0.321148	+	0.116888i	0.176416	+	0.984316i	$0.443550\pi$
$440$	−6.59531	−	5.53412i	−0.314419	−	0.263829i
$441$	2.17388	−	6.65389i	0.103518	−	0.316852i
$442$	15.3263	−	5.57833i	0.729000	−	0.265334i
$443$	2.33695	+	0.850579i	0.111032	+	0.0404122i	0.396939	−	0.917845i	$-0.370073\pi$
$443$	2.33695	+	0.850579i	0.111032	+	0.0404122i	−0.285907	+	0.958257i	$0.592295\pi$
$444$		−	7.59638i		−	0.360508i
$445$	15.5458	−	8.97536i	0.736941	−	0.425473i
$446$	−0.545444	−	0.650035i	−0.0258275	−	0.0307801i
$447$	0.0231636	+	0.131367i	0.00109560	+	0.00621346i
$448$	−1.90171	−	1.83943i	−0.0898473	−	0.0869050i
$449$	−13.8360	+	7.98821i	−0.652961	+	0.376987i	−0.789590	−	0.613635i	$-0.789707\pi$
$449$	−13.8360	+	7.98821i	−0.652961	+	0.376987i	0.136629	+	0.990622i	$0.456373\pi$
$450$	−0.632509	+	1.73781i	−0.0298168	+	0.0819209i
$451$	−5.20720	+	29.5315i	−0.245198	+	1.39059i
$452$	−5.35771	−	6.38507i	−0.252006	−	0.300329i
$453$	−9.11395	−	1.60704i	−0.428211	−	0.0755051i
$454$	−9.92129	−	1.74939i	−0.465629	−	0.0821030i
$455$	−5.25965	−	18.3987i	−0.246576	−	0.862545i
$456$	−2.82337	−	3.32093i	−0.132216	−	0.155517i
$457$	−21.0985	−	36.5438i	−0.986948	−	1.70944i	−0.632937	−	0.774203i	$-0.718151\pi$
$457$	−21.0985	−	36.5438i	−0.986948	−	1.70944i	−0.354012	−	0.935241i	$-0.615183\pi$
$458$	22.2375	+	18.6595i	1.03909	+	0.871900i
$459$	1.36902	+	3.76135i	0.0639003	+	0.175565i
$460$	14.2209	−	2.50753i	0.663054	−	0.116914i
$461$	−0.700306	−	1.92408i	−0.0326165	−	0.0896131i	0.922316	−	0.386438i	$-0.126295\pi$
$461$	−0.700306	−	1.92408i	−0.0326165	−	0.0896131i	−0.954932	+	0.296825i	$0.904072\pi$
$462$	0.905536	−	12.8010i	0.0421293	−	0.595558i
$463$	−0.744773	−	1.28999i	−0.0346125	−	0.0599507i	0.848200	−	0.529676i	$-0.177686\pi$
$463$	−0.744773	−	1.28999i	−0.0346125	−	0.0599507i	−0.882813	+	0.469725i	$0.844353\pi$
$464$		−	1.49188i		−	0.0692588i
$465$	1.82554	−	5.01562i	0.0846572	−	0.232594i
$466$	7.52368	−	20.6711i	0.348528	−	0.957572i
$467$		−	17.4721i		−	0.808514i	−0.914645	−	0.404257i	$-0.867530\pi$
$467$		−	17.4721i		−	0.808514i	0.914645	−	0.404257i	$-0.132470\pi$
$468$	2.03735	+	3.52879i	0.0941764	+	0.163118i
$469$	−1.60692	+	22.7161i	−0.0742008	+	1.04893i
$470$	5.06771	+	13.9234i	0.233756	+	0.642239i
$471$	4.33201	−	0.763851i	0.199609	−	0.0351964i
$472$	3.42874	+	9.42038i	0.157821	+	0.433608i
$473$	−1.49857	−	1.25745i	−0.0689041	−	0.0578174i
$474$	5.55349	+	9.61893i	0.255080	+	0.441812i
$475$	3.98532	−	7.00699i	0.182859	−	0.321503i
$476$	−2.91084	−	10.1824i	−0.133418	−	0.466708i
$477$	−13.3319	−	2.35078i	−0.610427	−	0.107635i
$478$	12.3723	+	2.18158i	0.565897	+	0.0997830i
$479$	−0.562096	−	0.669879i	−0.0256828	−	0.0306076i	0.753050	−	0.657963i	$-0.228582\pi$
$479$	−0.562096	−	0.669879i	−0.0256828	−	0.0306076i	−0.778733	+	0.627356i	$0.784137\pi$
$480$	0.308228	−	1.74805i	0.0140686	−	0.0797870i
$481$	10.5865	−	29.0862i	0.482704	−	1.32622i
$482$	2.69085	−	1.55356i	0.122565	−	0.0707629i
$483$	15.4710	+	14.9644i	0.703956	+	0.680903i
$484$	−2.17523	−	12.3364i	−0.0988742	−	0.560743i
$485$	5.17493	+	6.16724i	0.234981	+	0.280040i
$486$	−0.866025	+	0.500000i	−0.0392837	+	0.0226805i
$487$		−	11.1581i		−	0.505620i	−0.967516	−	0.252810i	$-0.918645\pi$
$487$		−	11.1581i		−	0.505620i	0.967516	−	0.252810i	$-0.0813548\pi$
$488$	−2.81302	−	1.02386i	−0.127340	−	0.0463478i
$489$	−10.6390	+	3.87228i	−0.481112	+	0.175110i
$490$	−12.1577	+	2.56367i	−0.549230	+	0.115815i
$491$	−30.7239	−	25.7804i	−1.38655	−	1.16346i	−0.966715	−	0.255855i	$-0.917643\pi$
$491$	−30.7239	−	25.7804i	−1.38655	−	1.16346i	−0.419837	−	0.907600i	$-0.637913\pi$
$492$	−5.80952	+	2.11449i	−0.261913	+	0.0953286i
$493$	2.98581	−	5.17157i	0.134474	−	0.232916i
$494$	−6.18243	−	16.6504i	−0.278161	−	0.749139i
$495$	7.45610	−	4.30478i	0.335127	−	0.193486i
$496$	0.522165	−	2.96135i	0.0234459	−	0.132968i
$497$	−8.70890	−	12.0072i	−0.390648	−	0.538596i
$498$	−2.36169	−	0.859585i	−0.105830	−	0.0385189i
$499$	6.92408	+	5.80999i	0.309964	+	0.260091i	0.784477	−	0.620158i	$-0.212931\pi$
$499$	6.92408	+	5.80999i	0.309964	+	0.260091i	−0.474513	+	0.880248i	$0.657376\pi$
$500$	11.9729	−	2.11115i	0.535446	−	0.0944136i
$501$	21.9752			0.981780
$502$	4.12095			0.183927
$503$	7.49738	−	1.32199i	0.334292	−	0.0589446i	−0.00398296	−	0.999992i	$-0.501268\pi$
$503$	7.49738	−	1.32199i	0.334292	−	0.0589446i	0.338275	+	0.941047i	$0.390157\pi$
$504$	2.37892	−	1.15790i	0.105966	−	0.0515769i
$505$	10.9074	−	18.8923i	0.485375	−	0.840694i
$506$	34.1732	+	19.7299i	1.51918	+	0.877102i
$507$	0.625678	+	3.54840i	0.0277874	+	0.157590i
$508$	11.8755	+	2.09398i	0.526892	+	0.0929052i
$509$	−2.70274	−	15.3280i	−0.119797	−	0.679401i	−0.984263	−	0.176710i	$-0.943455\pi$
$509$	−2.70274	−	15.3280i	−0.119797	−	0.679401i	0.864466	−	0.502691i	$-0.167657\pi$
$510$	4.56695	−	5.44268i	0.202228	−	0.241006i
$511$	18.7604	+	25.8655i	0.829913	+	1.14422i
$512$		−	1.00000i		−	0.0441942i
$513$	4.08630	−	1.51727i	0.180415	−	0.0669893i
$514$	6.80624	+	3.92959i	0.300211	+	0.173327i
$515$	−9.77908	+	11.6543i	−0.430918	+	0.513548i
$516$	0.0700345	−	0.397185i	0.00308310	−	0.0174851i
$517$	−13.8481	+	38.0474i	−0.609039	+	1.67332i
$518$	−18.3539	−	8.18949i	−0.806426	−	0.359825i
$519$	−8.59045	+	7.20824i	−0.377079	+	0.316407i
$520$	3.61632	−	6.26364i	0.158586	−	0.274679i
$521$	6.73679	+	11.6685i	0.295144	+	0.511205i	0.975018	−	0.222124i	$-0.0712990\pi$
$521$	6.73679	+	11.6685i	0.295144	+	0.511205i	−0.679874	+	0.733329i	$0.737966\pi$
$522$	1.40191	+	0.510253i	0.0613599	+	0.0223332i
$523$	14.1802	−	11.8986i	0.620056	−	0.520289i	−0.277765	−	0.960649i	$-0.589594\pi$
$523$	14.1802	−	11.8986i	0.620056	−	0.520289i	0.897821	+	0.440360i	$0.145149\pi$
$524$	−9.36118	−	5.40468i	−0.408945	−	0.236105i
$525$	3.51689	+	3.40172i	0.153490	+	0.148463i
$526$	−17.5133	−	20.8716i	−0.763617	−	0.910043i
$527$	7.73683	−	9.22039i	0.337021	−	0.401647i
$528$	3.71564	−	3.11780i	0.161703	−	0.135685i
$529$	−40.5793	+	14.7696i	−1.76432	+	0.642159i
$530$	8.21853	+	22.5802i	0.356990	+	0.980823i
$531$	−10.0250			−0.435046
$532$	−11.0677	+	3.24145i	−0.479844	+	0.140535i
$533$	−25.1912			−1.09115
$534$	3.45886	+	9.50313i	0.149679	+	0.411241i
$535$	−13.9401	+	5.07376i	−0.602681	+	0.219358i
$536$	−6.59361	+	5.53270i	−0.284801	+	0.238976i
$537$	−5.55705	+	6.62263i	−0.239804	+	0.285788i
$538$	10.3225	+	12.3019i	0.445037	+	0.530374i
$539$	−29.9529	−	15.9884i	−1.29016	−	0.688670i
$540$	1.53721	+	0.887506i	0.0661508	+	0.0381922i
$541$	2.05571	−	1.72495i	0.0883820	−	0.0741613i	−0.597526	−	0.801849i	$-0.703850\pi$
$541$	2.05571	−	1.72495i	0.0883820	−	0.0741613i	0.685908	+	0.727688i	$0.259405\pi$
$542$	8.49059	+	3.09032i	0.364702	+	0.132741i
$543$	−12.7189	−	22.0299i	−0.545822	−	0.945392i
$544$	2.00137	−	3.46648i	0.0858081	−	0.148624i
$545$	−20.2836	+	17.0199i	−0.868853	+	0.729054i
$546$	10.7225	−	1.11821i	0.458880	−	0.0478552i
$547$	−11.6109	+	31.9006i	−0.496444	+	1.36397i	0.398245	+	0.917279i	$0.369619\pi$
$547$	−11.6109	+	31.9006i	−0.496444	+	1.36397i	−0.894689	+	0.446690i	$0.852603\pi$
$548$	1.46324	−	8.29847i	0.0625067	−	0.354493i
$549$	1.92422	−	2.29320i	0.0821237	−	0.0978712i
$550$	7.76830	+	4.48503i	0.331242	+	0.191242i
$551$	−5.65262	−	3.21501i	−0.240810	−	0.136964i
$552$			8.13533i			0.346263i
$553$	29.2278	−	3.04808i	1.24289	−	0.129618i
$554$	12.6062	−	15.0235i	0.535586	−	0.638286i
$555$	−2.34141	−	13.2788i	−0.0993875	−	0.563654i
$556$	16.4247	+	2.89611i	0.696561	+	0.122823i
$557$	−6.03485	−	34.2253i	−0.255705	−	1.45017i	−0.794257	−	0.607582i	$-0.792140\pi$
$557$	−6.03485	−	34.2253i	−0.255705	−	1.45017i	0.538552	−	0.842592i	$-0.318972\pi$
$558$	2.60416	+	1.50351i	0.110243	+	0.0636488i
$559$	0.821688	−	1.42321i	0.0347537	−	0.0601952i
$560$	−3.89123	−	2.62925i	−0.164435	−	0.111106i
$561$	19.1201	−	3.37138i	0.807250	−	0.142340i
$562$	−22.4067			−0.945167
$563$	3.11537			0.131297			0.0656487	−	0.997843i	$-0.479088\pi$
$563$	3.11537			0.131297			0.0656487	+	0.997843i	$0.479088\pi$
$564$	−8.22072	+	1.44954i	−0.346155	+	0.0610364i
$565$	−11.3336	−	9.51000i	−0.476807	−	0.400089i
$566$	−19.1431	−	6.96752i	−0.804644	−	0.292867i
$567$	0.274429	+	2.63148i	0.0115249	+	0.110512i
$568$	0.973531	−	5.52117i	0.0408484	−	0.231663i
$569$	−7.51737	+	4.34015i	−0.315144	+	0.181949i	−0.649226	−	0.760595i	$-0.724907\pi$
$569$	−7.51737	+	4.34015i	−0.315144	+	0.181949i	0.334082	+	0.942544i	$0.391574\pi$
$570$	−5.95898	−	4.93490i	−0.249594	−	0.206700i
$571$	5.92998	−	10.2710i	0.248162	−	0.429829i	−0.714854	−	0.699274i	$-0.753507\pi$
$571$	5.92998	−	10.2710i	0.248162	−	0.429829i	0.963016	+	0.269445i	$0.0868401\pi$
$572$	18.5721	−	6.75969i	0.776539	−	0.282637i
$573$	−8.77803	−	7.36564i	−0.366708	−	0.307704i
$574$	−1.15420	+	16.3162i	−0.0481752	+	0.681026i
$575$	−14.1376	+	5.14567i	−0.589579	+	0.214589i
$576$	0.939693	+	0.342020i	0.0391539	+	0.0142508i
$577$			12.0638i			0.502224i	0.967958	+	0.251112i	$0.0807962\pi$
$577$			12.0638i			0.502224i	−0.967958	+	0.251112i	$0.919204\pi$
$578$	−0.847015	+	0.489024i	−0.0352312	+	0.0203407i
$579$	3.43388	+	4.09234i	0.142707	+	0.170072i
$580$	−0.459838	−	2.60787i	−0.0190937	−	0.108286i
$581$	−4.62297	+	4.77948i	−0.191793	+	0.198286i
$582$	−3.92795	+	2.26781i	−0.162819	+	0.0940036i
$583$	−22.4581	+	61.7032i	−0.930120	+	2.55548i
$584$	−2.09715	+	11.8935i	−0.0867807	+	0.492158i
$585$	4.64905	+	5.54052i	0.192214	+	0.229072i
$586$	−12.5174	−	2.20716i	−0.517091	−	0.0911771i
$587$	37.4654	+	6.60615i	1.54636	+	0.272665i	0.880731	−	0.473617i	$-0.157052\pi$
$587$	37.4654	+	6.60615i	1.54636	+	0.272665i	0.665630	+	0.746282i	$0.268163\pi$
$588$	−0.232985	−	6.99612i	−0.00960816	−	0.288515i
$589$	−10.0950	−	8.36016i	−0.415959	−	0.344474i
$590$	8.89721	+	15.4104i	0.366292	+	0.634437i
$591$	−5.86643	−	4.92252i	−0.241313	−	0.202485i
$592$	−2.59811	−	7.13826i	−0.106782	−	0.293381i
$593$	−29.9569	+	5.28220i	−1.23018	+	0.216914i	−0.750703	−	0.660640i	$-0.770285\pi$
$593$	−29.9569	+	5.28220i	−1.23018	+	0.216914i	−0.479478	+	0.877554i	$0.659174\pi$
$594$	1.65894	+	4.55791i	0.0680673	+	0.187013i
$595$	−8.22677	−	16.9020i	−0.337265	−	0.692916i
$596$	0.0666969	+	0.115522i	0.00273201	+	0.00473199i
$597$			4.11690i			0.168493i
$598$	−11.3376	+	31.1499i	−0.463630	+	1.27381i
$599$	−4.05103	+	11.1301i	−0.165520	+	0.454764i	−0.994528	−	0.104474i	$-0.966684\pi$
$599$	−4.05103	+	11.1301i	−0.165520	+	0.454764i	0.829007	+	0.559238i	$0.188906\pi$
$600$			1.84933i			0.0754987i
$601$	6.28195	+	10.8807i	0.256246	+	0.443832i	0.965233	−	0.261390i	$-0.0841809\pi$
$601$	6.28195	+	10.8807i	0.256246	+	0.443832i	−0.708987	+	0.705222i	$0.750848\pi$
$602$	−0.884154	−	0.597410i	−0.0360354	−	0.0243486i
$603$	−2.94389	−	8.08827i	−0.119884	−	0.329380i
$604$	−9.11395	+	1.60704i	−0.370842	+	0.0653894i
$605$	−7.60481	−	20.8940i	−0.309179	−	0.849463i
$606$	9.41469	+	7.89986i	0.382446	+	0.320910i
$607$	−8.93922	−	15.4832i	−0.362832	−	0.628443i	0.625594	−	0.780149i	$-0.284857\pi$
$607$	−8.93922	−	15.4832i	−0.362832	−	0.628443i	−0.988426	+	0.151706i	$0.951523\pi$
$608$	−3.78893	−	2.15500i	−0.153661	−	0.0873970i
$609$	2.74421	−	2.83712i	0.111201	−	0.114966i
$610$	−5.23287	−	0.922696i	−0.211873	−	0.0373589i
$611$	−33.4969	−	5.90641i	−1.35514	−	0.238948i
$612$	2.57291	+	3.06628i	0.104004	+	0.123947i
$613$	7.28883	−	41.3370i	0.294393	−	1.66959i	−0.375266	−	0.926917i	$-0.622449\pi$
$613$	7.28883	−	41.3370i	0.294393	−	1.66959i	0.669659	−	0.742668i	$-0.266440\pi$
$614$	−0.694881	+	1.90917i	−0.0280431	+	0.0770479i
$615$	−9.50355	+	5.48688i	−0.383220	+	0.221252i
$616$	−3.52729	−	12.3388i	−0.142119	−	0.497143i
$617$	0.0848393	+	0.481148i	0.00341550	+	0.0193703i	0.986468	−	0.163955i	$-0.0524251\pi$
$617$	0.0848393	+	0.481148i	0.00341550	+	0.0193703i	−0.983052	+	0.183325i	$0.941314\pi$
$618$	−5.50931	−	6.56573i	−0.221617	−	0.264113i
$619$	30.3678	−	17.5329i	1.22058	−	0.704705i	0.255542	−	0.966798i	$-0.417746\pi$
$619$	30.3678	−	17.5329i	1.22058	−	0.704705i	0.965043	+	0.262093i	$0.0844128\pi$
$620$		−	5.33751i		−	0.214360i
$621$	−7.64471	−	2.78245i	−0.306772	−	0.111656i
$622$	23.7497	−	8.64419i	0.952277	−	0.346600i
$623$	26.6898	+	1.88802i	1.06931	+	0.0756419i
$624$	3.12140	+	2.61916i	0.124956	+	0.104850i
$625$	11.5895	−	4.21824i	0.463580	−	0.168729i
$626$	−11.7499	+	20.3515i	−0.469622	+	0.813409i
$627$	−3.80586	−	20.7972i	−0.151992	−	0.830559i
$628$	3.80951	−	2.19942i	0.152016	−	0.0877664i
$629$	5.28001	−	29.9444i	0.210528	−	1.19396i
$630$	3.80157	−	2.75731i	0.151458	−	0.109854i
$631$	18.8623	+	6.86533i	0.750898	+	0.273304i	0.688983	−	0.724777i	$-0.258057\pi$
$631$	18.8623	+	6.86533i	0.750898	+	0.273304i	0.0619142	+	0.998081i	$0.480279\pi$
$632$	8.50844	+	7.13943i	0.338448	+	0.283991i
$633$	16.6289	−	2.93212i	0.660938	−	0.116541i
$634$	14.2322			0.565234
$635$	21.4044			0.849407
$636$	−13.3319	+	2.35078i	−0.528645	+	0.0932144i
$637$	8.85790	−	27.1126i	0.350963	−	1.07424i
$638$	3.61813	−	6.26678i	0.143243	−	0.248104i
$639$	4.85523	+	2.80317i	0.192070	+	0.110892i
$640$	−0.308228	−	1.74805i	−0.0121838	−	0.0690976i
$641$	21.6469	+	3.81693i	0.855001	+	0.150760i	0.583934	−	0.811801i	$-0.301513\pi$
$641$	21.6469	+	3.81693i	0.855001	+	0.150760i	0.271066	+	0.962561i	$0.412624\pi$
$642$	−1.45127	−	8.23055i	−0.0572770	−	0.324834i
$643$	2.85843	−	3.40655i	0.112726	−	0.134341i	−0.706731	−	0.707482i	$-0.749831\pi$
$643$	2.85843	−	3.40655i	0.112726	−	0.134341i	0.819457	+	0.573141i	$0.194275\pi$
$644$	19.6561	+	8.77051i	0.774560	+	0.345607i
$645$		−	0.715884i		−	0.0281879i
$646$	−8.82126	−	15.0533i	−0.347068	−	0.592265i
$647$	4.34128	+	2.50644i	0.170673	+	0.0985383i	0.582903	−	0.812542i	$-0.301917\pi$
$647$	4.34128	+	2.50644i	0.170673	+	0.0985383i	−0.412230	+	0.911080i	$0.635250\pi$
$648$	−0.642788	+	0.766044i	−0.0252511	+	0.0300931i
$649$	−8.44371	+	47.8866i	−0.331444	+	1.87972i
$650$	−2.57728	+	7.08103i	−0.101089	+	0.277741i
$651$	6.44020	−	4.67113i	0.252411	−	0.183076i
$652$	−8.67299	+	7.27750i	−0.339660	+	0.285009i
$653$	4.40261	−	7.62554i	0.172287	−	0.298411i	−0.766932	−	0.641729i	$-0.778218\pi$
$653$	4.40261	−	7.62554i	0.172287	−	0.298411i	0.939219	+	0.343318i	$0.111551\pi$
$654$	−7.45863	−	12.9187i	−0.291656	−	0.505162i
$655$	−18.0296	−	6.56225i	−0.704476	−	0.256408i
$656$	−4.73596	+	3.97394i	−0.184908	+	0.155156i
$657$	−10.4590	−	6.03850i	−0.408044	−	0.235584i
$658$	−5.36029	+	21.4252i	−0.208966	+	0.835240i
$659$	−10.2009	−	12.1569i	−0.397370	−	0.473567i	0.529846	−	0.848094i	$-0.322250\pi$
$659$	−10.2009	−	12.1569i	−0.397370	−	0.473567i	−0.927216	+	0.374527i	$0.877805\pi$
$660$	5.53412	−	6.59531i	0.215415	−	0.256722i
$661$	−25.6179	+	21.4960i	−0.996422	+	0.836098i	−0.986485	−	0.163853i	$-0.947608\pi$
$661$	−25.6179	+	21.4960i	−0.996422	+	0.836098i	−0.00993753	+	0.999951i	$0.503163\pi$
$662$	−19.4958	+	7.09589i	−0.757726	+	0.275790i
$663$	5.57833	+	15.3263i	0.216645	+	0.595226i
$664$	−2.51326			−0.0975334
$665$	−18.3477	+	9.07755i	−0.711492	+	0.352012i
$666$	7.59638			0.294354
$667$	4.15107	+	11.4050i	0.160730	+	0.441603i
$668$	20.6499	−	7.51596i	0.798970	−	0.290801i
$669$	0.650035	−	0.545444i	0.0251318	−	0.0210881i
$670$	−9.82061	+	11.7037i	−0.379403	+	0.452155i
$671$	−9.33329	−	11.1230i	−0.360308	−	0.429398i
$672$	1.83943	−	1.90171i	0.0709576	−	0.0733600i
$673$	32.3196	+	18.6598i	1.24583	+	0.719281i	0.970275	−	0.242005i	$-0.0778049\pi$
$673$	32.3196	+	18.6598i	1.24583	+	0.719281i	0.275555	+	0.961285i	$0.411138\pi$
$674$	19.9575	−	16.7463i	0.768734	−	0.645044i
$675$	−1.73781	−	0.632509i	−0.0668882	−	0.0243453i
$676$	1.80157	+	3.12041i	0.0692911	+	0.120016i
$677$	11.6875	−	20.2434i	0.449188	−	0.778016i	−0.549146	−	0.835727i	$-0.685047\pi$
$677$	11.6875	−	20.2434i	0.449188	−	0.778016i	0.998333	+	0.0577107i	$0.0183801\pi$
$678$	6.38507	−	5.35771i	0.245217	−	0.205762i
$679$	1.24470	+	11.9354i	0.0477673	+	0.458038i
$680$	2.43002	−	6.67644i	0.0931872	−	0.256030i
$681$	1.74939	−	9.92129i	0.0670368	−	0.380185i
$682$	9.37530	−	11.1731i	0.358999	−	0.427838i
$683$	7.36073	+	4.24972i	0.281650	+	0.162611i	0.634170	−	0.773193i	$-0.281342\pi$
$683$	7.36073	+	4.24972i	0.281650	+	0.162611i	−0.352520	+	0.935804i	$0.614675\pi$
$684$	3.32093	−	2.82337i	0.126979	−	0.107954i
$685$		−	14.9571i		−	0.571482i
$686$	−17.1548	−	6.97944i	−0.654974	−	0.266476i
$687$	−18.6595	+	22.2375i	−0.711903	+	0.848413i
$688$	−0.0700345	−	0.397185i	−0.00267004	−	0.0151425i
$689$	−54.3235	−	9.57870i	−2.06956	−	0.364920i
$690$	2.50753	+	14.2209i	0.0954601	+	0.541381i
$691$	16.2502	+	9.38206i	0.618187	+	0.356911i	0.776163	−	0.630532i	$-0.217163\pi$
$691$	16.2502	+	9.38206i	0.618187	+	0.356911i	−0.157976	+	0.987443i	$0.550497\pi$
$692$	−5.60702	+	9.71164i	−0.213147	+	0.369181i
$693$	12.8010	+	0.905536i	0.486271	+	0.0343985i
$694$	4.56368	−	0.804701i	0.173235	−	0.0305460i
$695$	29.6037			1.12293
$696$	1.49188			0.0565495
$697$	−24.3704	+	4.29717i	−0.923096	+	0.162767i
$698$	−21.2636	−	17.8423i	−0.804839	−	0.675340i
$699$	20.6711	+	7.52368i	0.781854	+	0.284572i
$700$	4.46826	+	1.99373i	0.168884	+	0.0753557i
$701$	−2.63096	+	14.9209i	−0.0993701	+	0.563556i	0.893950	+	0.448166i	$0.147923\pi$
$701$	−2.63096	+	14.9209i	−0.0993701	+	0.563556i	−0.993320	+	0.115390i	$0.963188\pi$
$702$	−3.52879	+	2.03735i	−0.133186	+	0.0768947i
$703$	−32.6453	−	5.53892i	−1.23124	−	0.208905i
$704$	2.42521	−	4.20059i	0.0914037	−	0.158316i
$705$	−13.9234	+	5.06771i	−0.524386	+	0.190861i
$706$	10.9885	+	9.22048i	0.413559	+	0.347017i
$707$	29.2370	−	14.2306i	1.09957	−	0.535196i
$708$	−9.42038	+	3.42874i	−0.354040	+	0.128860i
$709$	−23.5725	−	8.57968i	−0.885283	−	0.322217i	−0.140943	−	0.990018i	$-0.545014\pi$
$709$	−23.5725	−	8.57968i	−0.885283	−	0.322217i	−0.744340	+	0.667801i	$0.767236\pi$
$710$		−	9.95132i		−	0.373466i
$711$	−9.61893	+	5.55349i	−0.360738	+	0.208272i
$712$	6.50052	+	7.74702i	0.243617	+	0.290332i
$713$	4.24798	+	24.0915i	0.159088	+	0.902234i
$714$	10.1824	−	2.91084i	0.381066	−	0.108936i
$715$	30.3814	−	17.5407i	1.13620	−	0.655984i
$716$	−2.95684	+	8.12386i	−0.110502	+	0.303603i
$717$	−2.18158	+	12.3723i	−0.0814725	+	0.462053i
$718$	−9.36322	−	11.1586i	−0.349432	−	0.416437i
$719$	41.2103	+	7.26650i	1.53689	+	0.270995i	0.877044	−	0.480410i	$-0.159512\pi$
$719$	41.2103	+	7.26650i	1.53689	+	0.270995i	0.659842	+	0.751404i	$0.270623\pi$
$720$	1.74805	+	0.308228i	0.0651458	+	0.0114870i
$721$	−21.8032	+	6.23290i	−0.811994	+	0.232125i
$722$	−16.3303	+	9.71191i	−0.607751	+	0.361440i
$723$	1.55356	+	2.69085i	0.0577776	+	0.100074i
$724$	−19.4866	−	16.3512i	−0.724212	−	0.607686i
$725$	0.943628	+	2.59260i	0.0350455	+	0.0962866i
$726$	12.3364	−	2.17523i	0.457845	−	0.0807304i
$727$	8.38803	+	23.0459i	0.311095	+	0.854726i	0.992436	+	0.122760i	$0.0391746\pi$
$727$	8.38803	+	23.0459i	0.311095	+	0.854726i	−0.681342	+	0.731966i	$0.738603\pi$
$728$	9.69338	−	4.71808i	0.359261	−	0.174864i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$			21.4368i			0.793412i
$731$	0.552142	−	1.51700i	0.0204217	−	0.0561082i
$732$	1.02386	−	2.81302i	0.0378428	−	0.103972i
$733$			39.9007i			1.47377i	0.676020	+	0.736883i	$0.263703\pi$
$733$			39.9007i			1.47377i	−0.676020	+	0.736883i	$0.736297\pi$
$734$	−0.882868	−	1.52917i	−0.0325872	−	0.0564427i
$735$	−2.56367	−	12.1577i	−0.0945623	−	0.448444i
$736$	2.78245	+	7.64471i	0.102562	+	0.281788i
$737$	−41.1151	+	7.24970i	−1.51449	+	0.267046i
$738$	−2.11449	−	5.80952i	−0.0778355	−	0.213851i
$739$	−15.2059	−	12.7593i	−0.559359	−	0.469358i	0.318736	−	0.947843i	$-0.396742\pi$
$739$	−15.2059	−	12.7593i	−0.559359	−	0.469358i	−0.878096	+	0.478485i	$0.841186\pi$
$740$	−6.74183	−	11.6772i	−0.247835	−	0.429262i
$741$	16.6504	−	6.18243i	0.611669	−	0.227117i
$742$	−8.69303	+	34.7462i	−0.319131	+	1.27557i
$743$	11.0680	+	1.95159i	0.406046	+	0.0715969i	0.372941	−	0.927855i	$-0.378349\pi$
$743$	11.0680	+	1.95159i	0.406046	+	0.0715969i	0.0331051	+	0.999452i	$0.489460\pi$
$744$	2.96135	+	0.522165i	0.108568	+	0.0191435i
$745$	0.152196	+	0.181381i	0.00557605	+	0.00664527i
$746$	−5.41435	+	30.7063i	−0.198233	+	1.12424i
$747$	0.859585	−	2.36169i	0.0314506	−	0.0864097i
$748$	16.8139	−	9.70751i	0.614777	−	0.354942i
$749$	−21.4508	−	5.36670i	−0.783794	−	0.196095i
$750$	2.11115	+	11.9729i	0.0770884	+	0.437190i
$751$	−27.2456	−	32.4700i	−0.994205	−	1.18485i	−0.982755	−	0.184913i	$-0.940800\pi$
$751$	−27.2456	−	32.4700i	−0.994205	−	1.18485i	−0.0114498	−	0.999934i	$-0.503645\pi$
$752$	−7.22918	+	4.17377i	−0.263621	+	0.152202i
$753$			4.12095i			0.150176i
$754$	5.71235	+	2.07912i	0.208031	+	0.0757173i
$755$	−15.4363	+	5.61834i	−0.561783	+	0.204472i
$756$	1.15790	+	2.37892i	0.0421124	+	0.0865206i
$757$	−14.9194	−	12.5188i	−0.542254	−	0.455005i	0.330054	−	0.943962i	$-0.392933\pi$
$757$	−14.9194	−	12.5188i	−0.542254	−	0.455005i	−0.872308	+	0.488957i	$0.837378\pi$
$758$	−13.8939	+	5.05697i	−0.504650	+	0.183677i
$759$	−19.7299	+	34.1732i	−0.716151	+	1.24041i
$760$	−7.28744	−	2.59919i	−0.264343	−	0.0942827i
$761$	−28.6327	+	16.5311i	−1.03793	+	0.599251i	−0.919247	−	0.393681i	$-0.871201\pi$
$761$	−28.6327	+	16.5311i	−1.03793	+	0.599251i	−0.118686	+	0.992932i	$0.537868\pi$
$762$	−2.09398	+	11.8755i	−0.0758568	+	0.430205i
$763$	−39.2545	+	4.09373i	−1.42111	+	0.148203i
$764$	−10.7679	−	3.91918i	−0.389567	−	0.141791i
$765$	5.44268	+	4.56695i	0.196781	+	0.165118i
$766$	12.0457	−	2.12398i	0.435229	−	0.0767426i
$767$	−40.8487			−1.47496
$768$	1.00000			0.0360844
$769$	−24.5516	+	4.32911i	−0.885354	+	0.156112i	−0.597793	−	0.801651i	$-0.703956\pi$
$769$	−24.5516	+	4.32911i	−0.885354	+	0.156112i	−0.287561	+	0.957762i	$0.592844\pi$
$770$	−9.96900	−	20.4815i	−0.359258	−	0.738102i
$771$	−3.92959	+	6.80624i	−0.141521	+	0.245121i
$772$	4.62646	+	2.67109i	0.166510	+	0.0961346i
$773$	5.41728	+	30.7229i	0.194846	+	1.10503i	0.912638	+	0.408769i	$0.134042\pi$
$773$	5.41728	+	30.7229i	0.194846	+	1.10503i	−0.717792	+	0.696258i	$0.754847\pi$
$774$	0.397185	+	0.0700345i	0.0142765	+	0.00251734i
$775$	0.965658	+	5.47652i	0.0346874	+	0.196722i
$776$	−2.91543	+	3.47448i	−0.104658	+	0.124727i
$777$	8.18949	−	18.3539i	0.293796	−	0.658444i
$778$			20.9321i			0.750451i
$779$	4.85096	+	26.5081i	0.173804	+	0.949750i
$780$	6.26364	+	3.61632i	0.224274	+	0.129485i
$781$	17.4794	−	20.8312i	0.625463	−	0.745398i
$782$	−5.65461	+	32.0689i	−0.202209	+	1.14678i
$783$	−0.510253	+	1.40191i	−0.0182349	+	0.0501001i
$784$	−2.61175	−	6.49452i	−0.0932768	−	0.231947i
$785$	5.98127	−	5.01888i	0.213481	−	0.179132i
$786$	5.40468	−	9.36118i	0.192779	−	0.333902i
$787$	10.8542	+	18.7999i	0.386909	+	0.670146i	0.992032	−	0.125986i	$-0.0402095\pi$
$787$	10.8542	+	18.7999i	0.386909	+	0.670146i	−0.605123	+	0.796132i	$0.706876\pi$
$788$	−7.19625	−	2.61922i	−0.256356	−	0.0933058i
$789$	20.8716	−	17.5133i	0.743047	−	0.623490i
$790$	17.0737	+	9.85751i	0.607456	+	0.350715i
$791$	−6.06140	−	21.2033i	−0.215518	−	0.753902i
$792$	3.11780	+	3.71564i	0.110786	+	0.132030i
$793$	7.84061	−	9.34408i	0.278428	−	0.331818i
$794$	6.41574	−	5.38345i	0.227686	−	0.191051i
$795$	−22.5802	+	8.21853i	−0.800838	+	0.291481i
$796$	1.40806	+	3.86862i	0.0499074	+	0.137119i
$797$	−13.4037			−0.474783			−0.237391	−	0.971414i	$-0.576292\pi$
$797$	−13.4037			−0.474783			−0.237391	+	0.971414i	$0.576292\pi$
$798$	−3.24145	−	11.0677i	−0.114746	−	0.391791i
$799$	−33.4131			−1.18207
$800$	0.632509	+	1.73781i	0.0223626	+	0.0614407i
$801$	−9.50313	+	3.45886i	−0.335777	+	0.122213i
$802$	−26.5982	+	22.3186i	−0.939216	+	0.788096i
$803$	−37.6536	+	44.8738i	−1.32877	+	1.58356i
$804$	−5.53270	−	6.59361i	−0.195123	−	0.232539i
$805$	37.0631	+	9.27270i	1.30630	+	0.326820i
$806$	10.6112	+	6.12636i	0.373763	+	0.215792i
$807$	−12.3019	+	10.3225i	−0.433049	+	0.363371i
$808$	11.5488	+	4.20343i	0.406286	+	0.147876i
$809$	−7.11895	−	12.3304i	−0.250289	−	0.433513i	0.713316	−	0.700842i	$-0.247192\pi$
$809$	−7.11895	−	12.3304i	−0.250289	−	0.433513i	−0.963605	+	0.267329i	$0.913859\pi$
$810$	−0.887506	+	1.53721i	−0.0311838	+	0.0540119i
$811$	5.67703	−	4.76359i	0.199347	−	0.167272i	−0.537650	−	0.843168i	$-0.680688\pi$
$811$	5.67703	−	4.76359i	0.199347	−	0.167272i	0.736997	+	0.675896i	$0.236243\pi$
$812$	1.60836	−	3.60459i	0.0564424	−	0.126496i
$813$	−3.09032	+	8.49059i	−0.108382	+	0.297778i
$814$	6.39819	−	36.2859i	0.224256	−	1.27182i
$815$	−12.9177	+	15.3947i	−0.452486	+	0.539251i
$816$	3.46648	+	2.00137i	0.121351	+	0.0700620i
$817$	−1.65583	−	0.590581i	−0.0579302	−	0.0206618i
$818$		−	30.4732i		−	1.06547i
$819$	1.11821	+	10.7225i	0.0390736	+	0.374674i
$820$	−7.05380	+	8.40639i	−0.246329	+	0.293564i
$821$	−7.01769	−	39.7993i	−0.244919	−	1.38900i	−0.820681	−	0.571387i	$-0.806406\pi$
$821$	−7.01769	−	39.7993i	−0.244919	−	1.38900i	0.575762	−	0.817618i	$-0.304706\pi$
$822$	8.29847	+	1.46324i	0.289443	+	0.0510365i
$823$	0.278912	+	1.58179i	0.00972226	+	0.0551377i	0.989283	−	0.146011i	$-0.0466436\pi$
$823$	0.278912	+	1.58179i	0.00972226	+	0.0551377i	−0.979561	+	0.201149i	$0.935532\pi$
$824$	−7.42267	−	4.28548i	−0.258581	−	0.149292i
$825$	−4.48503	+	7.76830i	−0.156149	+	0.270458i
$826$	−1.87158	+	26.4574i	−0.0651206	+	0.920572i
$827$	19.9238	−	3.51310i	0.692818	−	0.122163i	0.183858	−	0.982953i	$-0.441141\pi$
$827$	19.9238	−	3.51310i	0.692818	−	0.122163i	0.508960	+	0.860790i	$0.330030\pi$
$828$	−8.13533			−0.282722
$829$	−10.9278			−0.379538			−0.189769	−	0.981829i	$-0.560774\pi$
$829$	−10.9278			−0.379538			−0.189769	+	0.981829i	$0.560774\pi$
$830$	−4.39329	+	0.774656i	−0.152493	+	0.0268887i
$831$	15.0235	+	12.6062i	0.521158	+	0.437304i
$832$	3.82896	+	1.39363i	0.132745	+	0.0483153i
$833$	3.94437	−	27.7402i	0.136664	−	0.961140i
$834$	−2.89611	+	16.4247i	−0.100284	+	0.568740i
$835$	33.7804	−	19.5031i	1.16902	−	0.674933i
$836$	−10.6894	−	18.2413i	−0.369700	−	0.630887i
$837$	−1.50351	+	2.60416i	−0.0519691	+	0.0900131i
$838$	27.4033	−	9.97400i	0.946633	−	0.344546i
$839$	−20.5550	−	17.2477i	−0.709639	−	0.595458i	0.214859	−	0.976645i	$-0.431071\pi$
$839$	−20.5550	−	17.2477i	−0.709639	−	0.595458i	−0.924498	+	0.381187i	$0.875515\pi$
$840$	2.62925	−	3.89123i	0.0907178	−	0.134260i
$841$	−25.1596	+	9.15735i	−0.867573	+	0.315771i
$842$	−14.6802	−	5.34317i	−0.505914	−	0.184138i
$843$		−	22.4067i		−	0.771726i
$844$	14.6232	−	8.44269i	0.503350	−	0.290609i
$845$	4.11102	+	4.89932i	0.141423	+	0.168542i
$846$	−1.44954	−	8.22072i	−0.0498360	−	0.282634i
$847$	8.04387	−	32.1515i	0.276391	−	1.10474i
$848$	−11.7239	+	6.76880i	−0.402600	+	0.232441i
$849$	6.96752	−	19.1431i	0.239125	−	0.656989i
$850$	−1.28541	+	7.28995i	−0.0440894	+	0.250043i
$851$	39.7237	+	47.3408i	1.36171	+	1.62282i
$852$	5.52117	+	0.973531i	0.189152	+	0.0333526i
$853$	−20.5830	−	3.62935i	−0.704750	−	0.124266i	−0.190223	−	0.981741i	$-0.560921\pi$
$853$	−20.5830	−	3.62935i	−0.704750	−	0.124266i	−0.514527	+	0.857474i	$0.672032\pi$
$854$	−5.69287	−	5.50644i	−0.194806	−	0.188426i
$855$	4.93490	−	5.95898i	0.168770	−	0.203793i
$856$	−4.17876	−	7.23782i	−0.142827	−	0.247384i
$857$	36.6513	+	30.7541i	1.25198	+	1.05054i	0.996489	+	0.0837293i	$0.0266831\pi$
$857$	36.6513	+	30.7541i	1.25198	+	1.05054i	0.255496	+	0.966810i	$0.417761\pi$
$858$	6.75969	+	18.5721i	0.230772	+	0.634041i
$859$	10.1920	−	1.79712i	0.347746	−	0.0613170i	0.00295273	−	0.999996i	$-0.499060\pi$
$859$	10.1920	−	1.79712i	0.347746	−	0.0613170i	0.344793	+	0.938679i	$0.387949\pi$
$860$	−0.244847	−	0.672711i	−0.00834921	−	0.0229393i
$861$	−16.3162	−	1.15420i	−0.556055	−	0.0393349i
$862$	19.0778	+	33.0437i	0.649792	+	1.12547i
$863$		−	7.65520i		−	0.260586i	−0.991476	−	0.130293i	$-0.958408\pi$
$863$		−	7.65520i		−	0.260586i	0.991476	−	0.130293i	$-0.0415918\pi$
$864$	−0.342020	+	0.939693i	−0.0116358	+	0.0319690i
$865$	−6.80792	+	18.7046i	−0.231476	+	0.635976i
$866$			32.6550i			1.10966i
$867$	−0.489024	−	0.847015i	−0.0166081	−	0.0287661i
$868$	4.45419	−	6.59210i	0.151185	−	0.223750i
$869$	18.4259	+	50.6247i	0.625055	+	1.71732i
$870$	2.60787	−	0.459838i	0.0884152	−	0.0155900i
$871$	−11.9954	−	32.9572i	−0.406450	−	1.11671i
$872$	−11.4273	−	9.58863i	−0.386977	−	0.324712i
$873$	−2.26781	−	3.92795i	−0.0767536	−	0.132941i
$874$	34.9614	+	5.93190i	1.18259	+	0.200650i
$875$	31.2043	+	7.80691i	1.05490	+	0.263922i
$876$	−11.8935	−	2.09715i	−0.401845	−	0.0708561i
$877$	3.39059	+	0.597852i	0.114492	+	0.0201880i	0.230601	−	0.973049i	$-0.425931\pi$
$877$	3.39059	+	0.597852i	0.114492	+	0.0201880i	−0.116109	+	0.993237i	$0.537042\pi$
$878$	−4.60277	−	5.48537i	−0.155336	−	0.185122i
$879$	2.20716	−	12.5174i	0.0744458	−	0.422203i
$880$	2.94465	−	8.09035i	0.0992640	−	0.272726i
$881$	−0.931841	+	0.537999i	−0.0313945	+	0.0181256i	−0.515615	−	0.856820i	$-0.672437\pi$
$881$	−0.931841	+	0.537999i	−0.0313945	+	0.0181256i	0.484221	+	0.874946i	$0.339103\pi$
$882$	6.99612	−	0.232985i	0.235572	−	0.00784503i
$883$	−6.57549	−	37.2915i	−0.221283	−	1.25496i	−0.869665	−	0.493642i	$-0.835665\pi$
$883$	−6.57549	−	37.2915i	−0.221283	−	1.25496i	0.648382	−	0.761315i	$-0.275446\pi$
$884$	10.4838	+	12.4942i	0.352610	+	0.420224i
$885$	−15.4104	+	8.89721i	−0.518016	+	0.299077i
$886$			2.48693i			0.0835499i
$887$	−30.7329	−	11.1858i	−1.03191	−	0.375584i	−0.230101	−	0.973167i	$-0.573906\pi$
$887$	−30.7329	−	11.1858i	−1.03191	−	0.375584i	−0.801807	+	0.597583i	$0.796128\pi$
$888$	7.13826	−	2.59811i	0.239544	−	0.0871870i
$889$	26.4355	+	17.8621i	0.886619	+	0.599075i
$890$	13.7511	+	11.5385i	0.460936	+	0.386772i
$891$	−4.55791	+	1.65894i	−0.152696	+	0.0555767i
$892$	0.424280	−	0.734875i	0.0142060	−	0.0246054i
$893$	0.235183	+	36.3853i	0.00787008	+	1.21759i
$894$	−0.115522	+	0.0666969i	−0.00386365	+	0.00223068i
$895$	−2.66470	+	15.1123i	−0.0890711	+	0.505147i
$896$	1.07808	−	2.41614i	0.0360160	−	0.0807177i
$897$	−31.1499	−	11.3376i	−1.04006	−	0.378552i
$898$	−12.2387	−	10.2694i	−0.408409	−	0.342696i
$899$	4.41797	−	0.779007i	0.147348	−	0.0259814i
$900$	−1.84933			−0.0616445
$901$	−54.1875			−1.80525
$902$	−29.5315	+	5.20720i	−0.983292	+	0.173381i
$903$	0.597410	−	0.884154i	0.0198806	−	0.0294228i
$904$	4.16756	−	7.21842i	0.138611	−	0.240081i
$905$	−39.1033	−	22.5763i	−1.29984	−	0.750461i
$906$	−1.60704	−	9.11395i	−0.0533902	−	0.302791i
$907$	−7.90350	−	1.39360i	−0.262431	−	0.0462737i	0.0408843	−	0.999164i	$-0.486983\pi$
$907$	−7.90350	−	1.39360i	−0.262431	−	0.0462737i	−0.303316	+	0.952890i	$0.598094\pi$
$908$	−1.74939	−	9.92129i	−0.0580556	−	0.329250i
$909$	−7.89986	+	9.41469i	−0.262022	+	0.312265i
$910$	15.4902	−	11.2352i	0.513496	−	0.372443i
$911$			59.4990i			1.97129i	0.168833	+	0.985645i	$0.446000\pi$
$911$			59.4990i			1.97129i	−0.168833	+	0.985645i	$0.554000\pi$
$912$	2.15500	−	3.78893i	0.0713593	−	0.125464i
$913$	−10.5572	−	6.09519i	−0.349392	−	0.201721i
$914$	27.1238	−	32.3248i	0.897174	−	1.06921i
$915$	0.922696	−	5.23287i	0.0305034	−	0.172993i
$916$	−9.92850	+	27.2783i	−0.328047	+	0.901301i
$917$	−16.7913	−	23.1506i	−0.554497	−	0.764499i
$918$	−3.06628	+	2.57291i	−0.101202	+	0.0849188i
$919$	−19.2695	+	33.3757i	−0.635641	+	1.10096i	0.350738	+	0.936474i	$0.385931\pi$
$919$	−19.2695	+	33.3757i	−0.635641	+	1.10096i	−0.986379	+	0.164489i	$0.947402\pi$
$920$	7.22015	+	12.5057i	0.238041	+	0.412300i
$921$	−1.90917	−	0.694881i	−0.0629093	−	0.0228971i
$922$	1.56852	−	1.31615i	0.0516565	−	0.0433449i
$923$	19.7836	+	11.4221i	0.651185	+	0.375962i
$924$	12.3388	−	3.52729i	0.405915	−	0.116039i
$925$	9.03004	+	10.7616i	0.296906	+	0.353839i
$926$	0.957462	−	1.14106i	0.0314642	−	0.0374975i
$927$	6.56573	−	5.50931i	0.215647	−	0.180949i
$928$	1.40191	−	0.510253i	0.0460199	−	0.0167499i
$929$	−7.53913	−	20.7136i	−0.247351	−	0.679591i	−0.999781	−	0.0209192i	$-0.993341\pi$
$929$	−7.53913	−	20.7136i	−0.247351	−	0.679591i	0.752430	−	0.658672i	$-0.228882\pi$
$930$	5.33751			0.175024
$931$	−30.2356	−	4.09999i	−0.990931	−	0.134372i
$932$	21.9978			0.720561
$933$	8.64419	+	23.7497i	0.282998	+	0.777531i
$934$	16.4184	−	5.97582i	0.537228	−	0.195535i
$935$	26.3993	−	22.1517i	0.863351	−	0.724437i
$936$	−2.61916	+	3.12140i	−0.0856100	+	0.102026i
$937$	17.1974	+	20.4951i	0.561815	+	0.669545i	0.969930	−	0.243386i	$-0.0782580\pi$
$937$	17.1974	+	20.4951i	0.561815	+	0.669545i	−0.408115	+	0.912931i	$0.633814\pi$
$938$	−21.8958	+	6.25937i	−0.714923	+	0.204376i
$939$	−20.3515	−	11.7499i	−0.664146	−	0.383445i
$940$	−11.3505	+	9.52417i	−0.370211	+	0.310644i
$941$	21.5609	+	7.84754i	0.702867	+	0.255823i	0.668634	−	0.743591i	$-0.266879\pi$
$941$	21.5609	+	7.84754i	0.702867	+	0.255823i	0.0342324	+	0.999414i	$0.489101\pi$
$942$	2.19942	+	3.80951i	0.0716610	+	0.124120i
$943$	25.1478	−	43.5572i	0.818924	−	1.41842i
$944$	−7.67957	+	6.44392i	−0.249949	+	0.209732i
$945$	2.75731	+	3.80157i	0.0896952	+	0.123665i
$946$	0.669073	−	1.83826i	0.0217534	−	0.0597671i
$947$	3.54980	−	20.1319i	0.115353	−	0.654199i	−0.871222	−	0.490889i	$-0.836672\pi$
$947$	3.54980	−	20.1319i	0.115353	−	0.654199i	0.986575	−	0.163309i	$-0.0522169\pi$
$948$	−7.13943	+	8.50844i	−0.231878	+	0.276341i
$949$	−42.6172	−	24.6050i	−1.38341	−	0.798714i
$950$	7.94748	+	1.34845i	0.257850	+	0.0437494i
$951$			14.2322i			0.461512i
$952$	8.57273	−	6.21787i	0.277844	−	0.201522i
$953$	7.62098	−	9.08233i	0.246868	−	0.294205i	−0.628354	−	0.777928i	$-0.716271\pi$
$953$	7.62098	−	9.08233i	0.246868	−	0.294205i	0.875222	+	0.483722i	$0.160715\pi$
$954$	−2.35078	−	13.3319i	−0.0761092	−	0.431637i
$955$	−20.0307	−	3.53195i	−0.648178	−	0.114291i
$956$	2.18158	+	12.3723i	0.0705572	+	0.400150i
$957$	6.26678	+	3.61813i	0.202576	+	0.116957i
$958$	0.437233	−	0.757309i	0.0141263	−	0.0244676i
$959$	12.4818	−	18.4728i	0.403059	−	0.596518i
$960$	1.74805	−	0.308228i	0.0564179	−	0.00994800i
$961$	−21.9578			−0.708315
$962$	30.9529			0.997963
$963$	8.23055	−	1.45127i	0.265226	−	0.0467665i
$964$	2.38020	+	1.99722i	0.0766610	+	0.0643262i
$965$	8.91056	+	3.24318i	0.286841	+	0.104402i
$966$	−8.77051	+	19.6561i	−0.282187	+	0.632425i
$967$	6.94442	−	39.3838i	0.223317	−	1.26650i	−0.642558	−	0.766237i	$-0.722127\pi$
$967$	6.94442	−	39.3838i	0.223317	−	1.26650i	0.865876	−	0.500259i	$-0.166762\pi$
$968$	10.8484	−	6.26333i	0.348681	−	0.201311i
$969$	15.0533	−	8.82126i	0.483582	−	0.283380i
$970$	−4.02538	+	6.97216i	−0.129247	+	0.223863i
$971$	16.8230	−	6.12308i	0.539876	−	0.196499i	−0.0576665	−	0.998336i	$-0.518366\pi$
$971$	16.8230	−	6.12308i	0.539876	−	0.196499i	0.597543	+	0.801837i	$0.296144\pi$
$972$	−0.766044	−	0.642788i	−0.0245709	−	0.0206174i
$973$	36.5621	+	24.7045i	1.17213	+	0.791990i
$974$	10.4852	−	3.81628i	0.335966	−	0.122282i
$975$	−7.08103	−	2.57728i	−0.226774	−	0.0825391i
$976$		−	2.99356i		−	0.0958214i
$977$	13.1891	−	7.61475i	0.421958	−	0.243617i	−0.273957	−	0.961742i	$-0.588333\pi$
$977$	13.1891	−	7.61475i	0.421958	−	0.243617i	0.695915	+	0.718125i	$0.254999\pi$
$978$	−7.27750	−	8.67299i	−0.232709	−	0.277332i
$979$	8.51788	+	48.3073i	0.272232	+	1.54391i
$980$	−6.56724	−	10.5477i	−0.209783	−	0.336934i
$981$	12.9187	−	7.45863i	0.412463	−	0.238136i
$982$	13.7175	−	37.6885i	0.437743	−	1.20269i
$983$	2.77401	−	15.7322i	0.0884770	−	0.501778i	−0.908075	−	0.418808i	$-0.862448\pi$
$983$	2.77401	−	15.7322i	0.0884770	−	0.501778i	0.996552	−	0.0829705i	$-0.0264407\pi$
$984$	−3.97394	−	4.73596i	−0.126685	−	0.150977i
$985$	−13.3867	−	2.36043i	−0.426535	−	0.0752096i
$986$	5.88089	+	1.03696i	0.187286	+	0.0330235i
$987$	−21.4252	−	5.36029i	−0.681970	−	0.170620i
$988$	13.5318	−	11.5044i	0.430503	−	0.366003i
$989$	1.64054	+	2.84150i	0.0521661	+	0.0903544i
$990$	6.59531	+	5.53412i	0.209613	+	0.175886i
$991$	8.74913	+	24.0381i	0.277925	+	0.763594i	0.997597	+	0.0692795i	$0.0220700\pi$
$991$	8.74913	+	24.0381i	0.277925	+	0.763594i	−0.719672	+	0.694314i	$0.755708\pi$
$992$	2.96135	−	0.522165i	0.0940228	−	0.0165788i
$993$	−7.09589	−	19.4958i	−0.225181	−	0.618681i
$994$	8.30444	−	12.2904i	0.263401	−	0.389828i
$995$	3.65377	+	6.32851i	0.115832	+	0.200627i
$996$		−	2.51326i		−	0.0796357i
$997$	13.0492	−	35.8523i	0.413271	−	1.13545i	−0.542169	−	0.840269i	$-0.682397\pi$
$997$	13.0492	−	35.8523i	0.413271	−	1.13545i	0.955440	−	0.295184i	$-0.0953810\pi$
$998$	−3.09143	+	8.49364i	−0.0978575	+	0.268861i
$999$			7.59638i			0.240339i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.b.325.9	✓	84
7.5	odd	6		798.2.cj.b.439.9	yes	84
19.10	odd	18		798.2.cj.b.409.9	yes	84
133.124	even	18	inner	798.2.ca.b.523.9	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.b.325.9	✓	84	1.1	even	1	trivial
798.2.ca.b.523.9	yes	84	133.124	even	18	inner
798.2.cj.b.409.9	yes	84	19.10	odd	18
798.2.cj.b.439.9	yes	84	7.5	odd	6

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.342020 + 0.939693i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-1.14096 + 1.35974i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(-2.54385 + 0.727212i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(0.342020 + 0.939693i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-1.14096 + 1.35974i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(-2.54385 + 0.727212i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.66797 - 0.607090i) q^{10} +(-2.42521 - 4.20059i) q^{11} +(0.500000 - 0.866025i) q^{12} +(3.12140 - 2.61916i) q^{13} +(-1.55340 - 2.14171i) q^{14} +(0.607090 - 1.66797i) q^{15} +(0.173648 - 0.984808i) q^{16} +(2.57291 - 3.06628i) q^{17} +(0.866025 + 0.500000i) q^{18} +(-3.35715 - 2.78021i) q^{19} -1.77501i q^{20} +(2.14171 - 1.55340i) q^{21} +(3.11780 - 3.71564i) q^{22} +(1.41268 + 8.01173i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.321133 + 1.82124i) q^{25} +(3.52879 + 2.03735i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(1.48126 - 2.19223i) q^{28} +(1.46921 - 0.259062i) q^{29} +1.77501 q^{30} +3.00703 q^{31} +(0.984808 - 0.173648i) q^{32} +(3.71564 + 3.11780i) q^{33} +(3.76135 + 1.36902i) q^{34} +(1.91360 - 4.28868i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(6.57866 - 3.79819i) q^{37} +(1.46433 - 4.10558i) q^{38} +(-2.03735 + 3.52879i) q^{39} +(1.66797 - 0.607090i) q^{40} +(-4.73596 - 3.97394i) q^{41} +(2.19223 + 1.48126i) q^{42} +(0.378990 - 0.137941i) q^{43} +(4.55791 + 1.65894i) q^{44} +1.77501i q^{45} +(-7.04540 + 4.06766i) q^{46} +(-5.36570 - 6.39459i) q^{47} +(0.173648 + 0.984808i) q^{48} +(5.94233 - 3.69983i) q^{49} +(-1.60157 + 0.924667i) q^{50} +(-1.36902 + 3.76135i) q^{51} +(-0.707563 + 4.01279i) q^{52} +(-8.70180 - 10.3704i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(8.47877 + 1.49504i) q^{55} +(2.56664 + 0.642140i) q^{56} +(4.10558 + 1.46433i) q^{57} +(0.745940 + 1.29201i) q^{58} +(-7.67957 - 6.44392i) q^{59} +(0.607090 + 1.66797i) q^{60} +(2.94808 - 0.519825i) q^{61} +(1.02846 + 2.82568i) q^{62} +(-1.48126 + 2.19223i) q^{63} +(0.500000 + 0.866025i) q^{64} +7.23263i q^{65} +(-1.65894 + 4.55791i) q^{66} +(2.94389 - 8.08827i) q^{67} +4.00274i q^{68} +(-4.06766 - 7.04540i) q^{69} +(4.68453 + 0.331380i) q^{70} +(1.91748 + 5.26824i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(-4.13058 - 11.3487i) q^{73} +(5.81916 + 4.88286i) q^{74} +(-0.924667 - 1.60157i) q^{75} +(4.35881 - 0.0281739i) q^{76} +(9.22410 + 8.92203i) q^{77} +(-4.01279 - 0.707563i) q^{78} +(-10.9382 - 1.92871i) q^{79} +(1.14096 + 1.35974i) q^{80} +(0.173648 - 0.984808i) q^{81} +(2.11449 - 5.80952i) q^{82} +(2.17655 - 1.25663i) q^{83} +(-0.642140 + 2.56664i) q^{84} +(1.23376 + 6.99698i) q^{85} +(0.259244 + 0.308955i) q^{86} +(-1.29201 + 0.745940i) q^{87} +4.85043i q^{88} +(-9.50313 - 3.45886i) q^{89} +(-1.66797 + 0.607090i) q^{90} +(-6.03567 + 8.93267i) q^{91} +(-6.23202 - 5.22929i) q^{92} +(-2.82568 + 1.02846i) q^{93} +(4.17377 - 7.22918i) q^{94} +(7.61071 - 1.39275i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(0.787601 - 4.46670i) q^{97} +(5.50910 + 4.31854i) q^{98} +(-4.55791 - 1.65894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - 6 q^{7}+O(q^{10}) \) 84 * q - 6 * q^7	\( 84 q - 6 q^{7} - 6 q^{10} + 6 q^{11} + 42 q^{12} - 24 q^{13} + 18 q^{17} - 6 q^{19} - 6 q^{21} + 12 q^{22} + 30 q^{23} + 24 q^{25} + 18 q^{26} - 42 q^{27} - 6 q^{28} + 12 q^{31} + 6 q^{33} + 30 q^{34} + 12 q^{35} + 18 q^{37} + 24 q^{38} + 6 q^{40} - 36 q^{41} - 6 q^{42} + 12 q^{43} - 6 q^{44} + 18 q^{46} + 18 q^{47} + 12 q^{49} - 30 q^{52} - 12 q^{53} + 30 q^{55} + 18 q^{56} + 6 q^{57} + 6 q^{59} + 36 q^{61} + 12 q^{62} + 6 q^{63} + 42 q^{64} + 6 q^{66} - 12 q^{67} - 6 q^{69} - 18 q^{70} + 42 q^{71} - 6 q^{73} + 48 q^{75} - 18 q^{76} - 96 q^{77} - 12 q^{78} - 6 q^{79} - 12 q^{82} - 54 q^{83} + 6 q^{84} - 24 q^{85} - 30 q^{86} + 24 q^{89} - 6 q^{90} + 42 q^{91} + 42 q^{92} + 36 q^{93} - 18 q^{94} + 24 q^{95} + 78 q^{97} + 12 q^{98} + 6 q^{99}+O(q^{100}) \) 84 * q - 6 * q^7 - 6 * q^10 + 6 * q^11 + 42 * q^12 - 24 * q^13 + 18 * q^17 - 6 * q^19 - 6 * q^21 + 12 * q^22 + 30 * q^23 + 24 * q^25 + 18 * q^26 - 42 * q^27 - 6 * q^28 + 12 * q^31 + 6 * q^33 + 30 * q^34 + 12 * q^35 + 18 * q^37 + 24 * q^38 + 6 * q^40 - 36 * q^41 - 6 * q^42 + 12 * q^43 - 6 * q^44 + 18 * q^46 + 18 * q^47 + 12 * q^49 - 30 * q^52 - 12 * q^53 + 30 * q^55 + 18 * q^56 + 6 * q^57 + 6 * q^59 + 36 * q^61 + 12 * q^62 + 6 * q^63 + 42 * q^64 + 6 * q^66 - 12 * q^67 - 6 * q^69 - 18 * q^70 + 42 * q^71 - 6 * q^73 + 48 * q^75 - 18 * q^76 - 96 * q^77 - 12 * q^78 - 6 * q^79 - 12 * q^82 - 54 * q^83 + 6 * q^84 - 24 * q^85 - 30 * q^86 + 24 * q^89 - 6 * q^90 + 42 * q^91 + 42 * q^92 + 36 * q^93 - 18 * q^94 + 24 * q^95 + 78 * q^97 + 12 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

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