LMFDB - Embedded newform 192.2.s.a.35.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			35.15
Character	$\chi$	$=$	192.35
Dual form			192.2.s.a.11.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +O(q^{10})$	\(q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +(2.74000 - 2.98562i) q^{10} +(-0.120905 - 0.607832i) q^{11} +(3.25096 - 1.19636i) q^{12} +(-2.88773 - 4.32179i) q^{13} +(-1.92951 + 0.470591i) q^{14} +(4.95075 - 0.349744i) q^{15} +(3.26960 + 2.30428i) q^{16} +(-5.60131 + 5.60131i) q^{17} +(3.89922 + 1.67216i) q^{18} +(-2.11420 - 3.16413i) q^{19} +(3.58028 + 4.47489i) q^{20} +(-2.11269 - 1.20550i) q^{21} +(0.875639 - 0.0375631i) q^{22} +(0.461255 - 1.11357i) q^{23} +(0.969160 + 4.80216i) q^{24} +(1.22871 + 2.96636i) q^{25} +(6.66442 - 3.10149i) q^{26} +(2.06138 + 4.76977i) q^{27} +(-0.240534 - 2.79840i) q^{28} +(-1.62645 - 0.323522i) q^{29} +(-0.581551 + 6.99474i) q^{30} -5.33703 q^{31} +(-3.92732 + 4.07138i) q^{32} +(0.810624 + 0.703648i) q^{33} +(-6.61733 - 9.03933i) q^{34} +(0.785066 - 3.94679i) q^{35} +(-3.18000 + 5.08799i) q^{36} +(-6.92002 - 4.62381i) q^{37} +(4.87925 - 2.27071i) q^{38} +(8.53962 + 2.85054i) q^{39} +(-7.02811 + 4.03630i) q^{40} +(-3.36197 - 1.39257i) q^{41} +(2.14156 - 2.69205i) q^{42} +(2.45301 + 12.3321i) q^{43} +(-0.136815 + 1.23191i) q^{44} +(-6.40517 + 5.73329i) q^{45} +(1.45659 + 0.885398i) q^{46} +(0.576826 + 0.576826i) q^{47} +(-6.92098 + 0.316264i) q^{48} +(3.55517 - 3.55517i) q^{49} +(-4.41140 + 1.07590i) q^{50} +(1.72177 - 13.6119i) q^{51} +(2.89377 + 9.98467i) q^{52} +(6.93876 - 1.38020i) q^{53} +(-7.11185 + 1.84974i) q^{54} +(-0.679580 + 1.64065i) q^{55} +(3.96302 + 0.268845i) q^{56} +(6.25214 + 2.08697i) q^{57} +(0.803789 - 2.20317i) q^{58} +(-1.57936 + 2.36368i) q^{59} +(-9.65005 - 2.32503i) q^{60} +(3.21857 + 0.640213i) q^{61} +(1.15386 - 7.45898i) q^{62} +(4.17124 - 0.592308i) q^{63} +(-4.84104 - 6.36901i) q^{64} +14.8939i q^{65} +(-1.15867 + 0.980791i) q^{66} +(-1.03306 + 5.19352i) q^{67} +(14.0639 - 7.29402i) q^{68} +(0.550561 + 2.01377i) q^{69} +(5.34627 + 1.95050i) q^{70} +(4.85279 - 2.01009i) q^{71} +(-6.42341 - 5.54435i) q^{72} +(2.50182 + 1.03629i) q^{73} +(7.95829 - 8.67168i) q^{74} +(-4.83020 - 2.75611i) q^{75} +(2.11863 + 7.31011i) q^{76} +(0.723660 - 0.483534i) q^{77} +(-5.83014 + 11.3186i) q^{78} +(-6.29584 - 6.29584i) q^{79} +(-4.12162 - 10.6951i) q^{80} +(-7.88401 - 4.34078i) q^{81} +(2.67310 - 4.39758i) q^{82} +(-10.0044 + 6.68475i) q^{83} +(3.29937 + 3.57504i) q^{84} +(22.2623 - 4.42825i) q^{85} +(-17.7656 + 0.762107i) q^{86} +(2.56960 - 1.28345i) q^{87} +(-1.69212 - 0.457548i) q^{88} +(-2.13413 + 0.883987i) q^{89} +(-6.62800 - 10.1913i) q^{90} +(4.05542 - 6.06936i) q^{91} +(-1.55234 + 1.84429i) q^{92} +(7.30510 - 5.66456i) q^{93} +(-0.930876 + 0.681457i) q^{94} +10.9043i q^{95} +(1.05430 - 9.74107i) q^{96} -1.28366i q^{97} +(4.20004 + 5.73730i) q^{98} +(-1.85638 - 0.102752i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{16}\right)$

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 $

$2$	−0.216199	+	1.39759i	−0.152876	+	0.988245i
$2$	−0.216199	+	1.39759i	−0.152876	+	0.988245i
$3$	−1.36876	+	1.06137i	−0.790252	+	0.612782i
$3$	−1.36876	+	1.06137i	−0.790252	+	0.612782i
$4$	−1.90652	−	0.604316i	−0.953258	−	0.302158i
$5$	−2.38253	−	1.59195i	−1.06550	−	0.711944i	−0.106203	−	0.994345i	$-0.533869\pi$
$5$	−2.38253	−	1.59195i	−1.06550	−	0.711944i	−0.959297	+	0.282401i	$0.908869\pi$
$6$	−1.18743	−	2.14243i	−0.484768	−	0.874643i
$7$	0.537426	+	1.29746i	0.203128	+	0.490394i	0.992312	−	0.123763i	$-0.0394962\pi$
$7$	0.537426	+	1.29746i	0.203128	+	0.490394i	−0.789184	+	0.614157i	$0.789496\pi$
$8$	1.25677	−	2.53387i	0.444337	−	0.895860i
$9$	0.746990	−	2.90551i	0.248997	−	0.968504i
$10$	2.74000	−	2.98562i	0.866464	−	0.944135i
$11$	−0.120905	−	0.607832i	−0.0364543	−	0.183268i	0.958268	−	0.285871i	$-0.0922829\pi$
$11$	−0.120905	−	0.607832i	−0.0364543	−	0.183268i	−0.994722	+	0.102603i	$0.967283\pi$
$12$	3.25096	−	1.19636i	0.938471	−	0.345358i
$13$	−2.88773	−	4.32179i	−0.800912	−	1.19865i	−0.976782	−	0.214237i	$-0.931274\pi$
$13$	−2.88773	−	4.32179i	−0.800912	−	1.19865i	0.175869	−	0.984413i	$-0.443726\pi$
$14$	−1.92951	+	0.470591i	−0.515683	+	0.125771i
$15$	4.95075	−	0.349744i	1.27828	−	0.0903036i
$16$	3.26960	+	2.30428i	0.817401	+	0.576069i
$17$	−5.60131	+	5.60131i	−1.35852	+	1.35852i	−0.482768	+	0.875748i	$0.660369\pi$
$17$	−5.60131	+	5.60131i	−1.35852	+	1.35852i	−0.875748	+	0.482768i	$0.839631\pi$
$18$	3.89922	+	1.67216i	0.919054	+	0.394131i
$19$	−2.11420	−	3.16413i	−0.485032	−	0.725901i	0.505554	−	0.862795i	$-0.331288\pi$
$19$	−2.11420	−	3.16413i	−0.485032	−	0.725901i	−0.990586	+	0.136894i	$0.956288\pi$
$20$	3.58028	+	4.47489i	0.800576	+	1.00062i
$21$	−2.11269	−	1.20550i	−0.461027	−	0.263062i
$22$	0.875639	−	0.0375631i	0.186687	−	0.00800849i
$23$	0.461255	−	1.11357i	0.0961783	−	0.232195i	−0.868467	−	0.495747i	$-0.834894\pi$
$23$	0.461255	−	1.11357i	0.0961783	−	0.232195i	0.964645	+	0.263552i	$0.0848942\pi$
$24$	0.969160	+	4.80216i	0.197829	+	0.980237i
$25$	1.22871	+	2.96636i	0.245741	+	0.593271i
$26$	6.66442	−	3.10149i	1.30700	−	0.608253i
$27$	2.06138	+	4.76977i	0.396712	+	0.917943i
$28$	−0.240534	−	2.79840i	−0.0454567	−	0.528849i
$29$	−1.62645	−	0.323522i	−0.302025	−	0.0600765i	0.0417515	−	0.999128i	$-0.486706\pi$
$29$	−1.62645	−	0.323522i	−0.302025	−	0.0600765i	−0.343776	+	0.939052i	$0.611706\pi$
$30$	−0.581551	+	6.99474i	−0.106176	+	1.27706i
$31$	−5.33703			−0.958559			−0.479280	−	0.877662i	$-0.659102\pi$
$31$	−5.33703			−0.958559			−0.479280	+	0.877662i	$0.659102\pi$
$32$	−3.92732	+	4.07138i	−0.694259	+	0.719726i
$33$	0.810624	+	0.703648i	0.141111	+	0.122489i
$34$	−6.61733	−	9.03933i	−1.13486	−	1.55023i
$35$	0.785066	−	3.94679i	0.132700	−	0.667130i
$36$	−3.18000	+	5.08799i	−0.529999	+	0.847998i
$37$	−6.92002	−	4.62381i	−1.13764	−	0.760149i	−0.163604	−	0.986526i	$-0.552312\pi$
$37$	−6.92002	−	4.62381i	−1.13764	−	0.760149i	−0.974040	+	0.226377i	$0.927312\pi$
$38$	4.87925	−	2.27071i	0.791518	−	0.368357i
$39$	8.53962	+	2.85054i	1.36743	+	0.456451i
$40$	−7.02811	+	4.03630i	−1.11124	+	0.638195i
$41$	−3.36197	−	1.39257i	−0.525052	−	0.217484i	0.104383	−	0.994537i	$-0.466713\pi$
$41$	−3.36197	−	1.39257i	−0.525052	−	0.217484i	−0.629434	+	0.777054i	$0.716713\pi$
$42$	2.14156	−	2.69205i	0.330450	−	0.415392i
$43$	2.45301	+	12.3321i	0.374081	+	1.88063i	0.465872	+	0.884852i	$0.345741\pi$
$43$	2.45301	+	12.3321i	0.374081	+	1.88063i	−0.0917918	+	0.995778i	$0.529259\pi$
$44$	−0.136815	+	1.23191i	−0.0206256	+	0.185717i
$45$	−6.40517	+	5.73329i	−0.954826	+	0.854669i
$46$	1.45659	+	0.885398i	0.214762	+	0.130545i
$47$	0.576826	+	0.576826i	0.0841387	+	0.0841387i	0.747924	−	0.663785i	$-0.231051\pi$
$47$	0.576826	+	0.576826i	0.0841387	+	0.0841387i	−0.663785	+	0.747924i	$0.731051\pi$
$48$	−6.92098	+	0.316264i	−0.998958	+	0.0456488i
$49$	3.55517	−	3.55517i	0.507881	−	0.507881i
$50$	−4.41140	+	1.07590i	−0.623866	+	0.152155i
$51$	1.72177	−	13.6119i	0.241096	−	1.90604i
$52$	2.89377	+	9.98467i	0.401294	+	1.38462i
$53$	6.93876	−	1.38020i	0.953112	−	0.189586i	0.306043	−	0.952018i	$-0.400995\pi$
$53$	6.93876	−	1.38020i	0.953112	−	0.189586i	0.647068	+	0.762432i	$0.275995\pi$
$54$	−7.11185	+	1.84974i	−0.967801	+	0.251717i
$55$	−0.679580	+	1.64065i	−0.0916346	+	0.221225i
$56$	3.96302	+	0.268845i	0.529581	+	0.0359259i
$57$	6.25214	+	2.08697i	0.828116	+	0.276426i
$58$	0.803789	−	2.20317i	0.105543	−	0.289290i
$59$	−1.57936	+	2.36368i	−0.205615	+	0.307725i	−0.919917	−	0.392113i	$-0.871744\pi$
$59$	−1.57936	+	2.36368i	−0.205615	+	0.307725i	0.714302	+	0.699838i	$0.246744\pi$
$60$	−9.65005	−	2.32503i	−1.24582	−	0.300160i
$61$	3.21857	+	0.640213i	0.412096	+	0.0819709i	0.396784	−	0.917912i	$-0.370126\pi$
$61$	3.21857	+	0.640213i	0.412096	+	0.0819709i	0.0153113	+	0.999883i	$0.495126\pi$
$62$	1.15386	−	7.45898i	0.146541	−	0.947292i
$63$	4.17124	−	0.592308i	0.525527	−	0.0746237i
$64$	−4.84104	−	6.36901i	−0.605130	−	0.796127i
$65$			14.8939i			1.84737i
$66$	−1.15867	+	0.980791i	−0.142622	+	0.120727i
$67$	−1.03306	+	5.19352i	−0.126208	+	0.634490i	0.864956	+	0.501848i	$0.167346\pi$
$67$	−1.03306	+	5.19352i	−0.126208	+	0.634490i	−0.991164	+	0.132642i	$0.957654\pi$
$68$	14.0639	−	7.29402i	1.70550	−	0.884530i
$69$	0.550561	+	2.01377i	0.0662798	+	0.242429i
$70$	5.34627	+	1.95050i	0.639001	+	0.233129i
$71$	4.85279	−	2.01009i	0.575920	−	0.238554i	−0.0756601	−	0.997134i	$-0.524106\pi$
$71$	4.85279	−	2.01009i	0.575920	−	0.238554i	0.651580	+	0.758580i	$0.274106\pi$
$72$	−6.42341	−	5.54435i	−0.757006	−	0.653408i
$73$	2.50182	+	1.03629i	0.292816	+	0.121288i	0.524256	−	0.851561i	$-0.324344\pi$
$73$	2.50182	+	1.03629i	0.292816	+	0.121288i	−0.231440	+	0.972849i	$0.574344\pi$
$74$	7.95829	−	8.67168i	0.925132	−	1.00806i
$75$	−4.83020	−	2.75611i	−0.557743	−	0.318248i
$76$	2.11863	+	7.31011i	0.243023	+	0.838527i
$77$	0.723660	−	0.483534i	0.0824687	−	0.0551038i
$78$	−5.83014	+	11.3186i	−0.660133	+	1.28158i
$79$	−6.29584	−	6.29584i	−0.708338	−	0.708338i	0.257848	−	0.966186i	$-0.416987\pi$
$79$	−6.29584	−	6.29584i	−0.708338	−	0.708338i	−0.966186	+	0.257848i	$0.916987\pi$
$80$	−4.12162	−	10.6951i	−0.460811	−	1.19574i
$81$	−7.88401	−	4.34078i	−0.876001	−	0.482309i
$82$	2.67310	−	4.39758i	0.295195	−	0.485632i
$83$	−10.0044	+	6.68475i	−1.09813	+	0.733747i	−0.966272	−	0.257522i	$-0.917094\pi$
$83$	−10.0044	+	6.68475i	−1.09813	+	0.733747i	−0.131857	+	0.991269i	$0.542094\pi$
$84$	3.29937	+	3.57504i	0.359991	+	0.390069i
$85$	22.2623	−	4.42825i	2.41469	−	0.480311i
$86$	−17.7656	+	0.762107i	−1.91571	+	0.0821801i
$87$	2.56960	−	1.28345i	0.275490	−	0.137600i
$88$	−1.69212	−	0.457548i	−0.180381	−	0.0487748i
$89$	−2.13413	+	0.883987i	−0.226218	+	0.0937024i	−0.492913	−	0.870078i	$-0.664068\pi$
$89$	−2.13413	+	0.883987i	−0.226218	+	0.0937024i	0.266696	+	0.963781i	$0.414068\pi$
$90$	−6.62800	−	10.1913i	−0.698653	−	1.07426i
$91$	4.05542	−	6.06936i	0.425123	−	0.636242i
$92$	−1.55234	+	1.84429i	−0.161842	+	0.192281i
$93$	7.30510	−	5.66456i	0.757504	−	0.587388i
$94$	−0.930876	+	0.681457i	−0.0960125	+	0.0702869i
$95$			10.9043i			1.11876i
$96$	1.05430	−	9.74107i	0.107604	−	0.994194i
$97$		−	1.28366i		−	0.130336i	−0.997874	−	0.0651682i	$-0.979242\pi$
$97$		−	1.28366i		−	0.130336i	0.997874	−	0.0651682i	$-0.0207584\pi$
$98$	4.20004	+	5.73730i	0.424269	+	0.579554i
$99$	−1.85638	−	0.102752i	−0.186573	−	0.0103270i
$100$	−0.549929	−	6.39793i	−0.0549929	−	0.639793i
$101$	9.06455	−	13.5661i	0.901956	−	1.34987i	−0.0346173	−	0.999401i	$-0.511021\pi$
$101$	9.06455	−	13.5661i	0.901956	−	1.34987i	0.936573	−	0.350472i	$-0.113979\pi$
$102$	18.6516	+	5.34921i	1.84678	+	0.529651i
$103$	13.0224	−	5.39405i	1.28313	−	0.531492i	0.366203	−	0.930535i	$-0.380658\pi$
$103$	13.0224	−	5.39405i	1.28313	−	0.531492i	0.916932	+	0.399043i	$0.130658\pi$
$104$	−14.5801	+	1.88563i	−1.42970	+	0.184901i
$105$	3.11444	+	6.23545i	0.303938	+	0.608517i
$106$	0.428805	+	9.99594i	0.0416493	+	0.970891i
$107$	3.19732	−	0.635987i	0.309097	−	0.0614831i	−0.0381047	−	0.999274i	$-0.512132\pi$
$107$	3.19732	−	0.635987i	0.309097	−	0.0614831i	0.347201	+	0.937791i	$0.387132\pi$
$108$	−1.04759	−	10.3394i	−0.100805	−	0.994906i
$109$	−9.42249	+	6.29591i	−0.902511	+	0.603038i	−0.917886	−	0.396843i	$-0.870106\pi$
$109$	−9.42249	+	6.29591i	−0.902511	+	0.603038i	0.0153755	+	0.999882i	$0.495106\pi$
$110$	−2.14603	−	1.30448i	−0.204616	−	0.124378i
$111$	14.3794	−	1.01583i	1.36483	−	0.0964180i
$112$	−1.23254	+	5.48056i	−0.116464	+	0.517864i
$113$	−4.47338	−	4.47338i	−0.420820	−	0.420820i	0.464666	−	0.885486i	$-0.346175\pi$
$113$	−4.47338	−	4.47338i	−0.420820	−	0.420820i	−0.885486	+	0.464666i	$0.846175\pi$
$114$	−4.26844	+	8.28673i	−0.399776	+	0.776123i
$115$	−2.87170	+	1.91881i	−0.267788	+	0.178930i
$116$	2.90535	+	1.59969i	0.269755	+	0.148528i
$117$	−14.7141	+	5.16200i	−1.36032	+	0.477227i
$118$	−2.96200	−	2.71832i	−0.272674	−	0.250242i
$119$	−10.2778	−	4.25719i	−0.942161	−	0.390256i
$120$	5.33577	−	12.9841i	0.487087	−	1.18528i
$121$	9.80783	−	4.06254i	0.891621	−	0.369322i
$122$	−1.59061	+	4.35983i	−0.144007	+	0.394720i
$123$	6.07976	−	1.66220i	0.548193	−	0.149875i
$124$	10.1751	+	3.22526i	0.913754	+	0.289636i
$125$	−1.00022	+	5.02845i	−0.0894624	+	0.449758i
$126$	−0.0740163	+	5.95774i	−0.00659390	+	0.530758i
$127$		−	4.93921i		−	0.438284i	−0.975693	−	0.219142i	$-0.929674\pi$
$127$		−	4.93921i		−	0.438284i	0.975693	−	0.219142i	$-0.0703258\pi$
$128$	9.94790	−	5.38881i	0.879278	−	0.476308i
$129$	−16.4465	−	14.2761i	−1.44803	−	1.25694i
$130$	−20.8156	−	3.22006i	−1.82565	−	0.282418i
$131$	−4.27091	−	0.849536i	−0.373151	−	0.0742243i	0.00495247	−	0.999988i	$-0.498424\pi$
$131$	−4.27091	−	0.849536i	−0.373151	−	0.0742243i	−0.378103	+	0.925763i	$0.623424\pi$
$132$	−1.12024	−	1.83139i	−0.0975044	−	0.159402i
$133$	2.96911	−	4.44358i	0.257454	−	0.385307i
$134$	−7.03507	−	2.56663i	−0.607737	−	0.221723i
$135$	2.68198	−	14.6457i	0.230828	−	1.26050i
$136$	7.15343	+	21.2326i	0.613402	+	1.82068i
$137$	4.77118	−	11.5186i	0.407629	−	0.984104i	−0.578131	−	0.815944i	$-0.696218\pi$
$137$	4.77118	−	11.5186i	0.407629	−	0.984104i	0.985760	−	0.168160i	$-0.0537824\pi$
$138$	−2.93345	+	0.334084i	−0.249712	+	0.0284391i
$139$	−19.9870	+	3.97565i	−1.69527	+	0.337211i	−0.945781	−	0.324804i	$-0.894702\pi$
$139$	−19.9870	+	3.97565i	−1.69527	+	0.337211i	−0.749491	+	0.662014i	$0.769702\pi$
$140$	−3.88185	+	7.05020i	−0.328076	+	0.595850i
$141$	−1.40176	−	0.177309i	−0.118049	−	0.0149321i
$142$	1.76011	+	7.21679i	0.147705	+	0.605620i
$143$	−2.27778	+	2.27778i	−0.190478	+	0.190478i
$144$	9.13747	−	7.77861i	0.761456	−	0.648217i
$145$	3.36004	+	3.36004i	0.279036	+	0.279036i
$146$	−1.98920	+	3.27247i	−0.164627	+	0.270832i
$147$	−1.09281	+	8.63951i	−0.0901338	+	0.712575i
$148$	10.3989	+	12.9972i	0.854782	+	1.06837i
$149$	−0.770902	−	3.87559i	−0.0631547	−	0.317500i	0.936275	−	0.351268i	$-0.114249\pi$
$149$	−0.770902	−	3.87559i	−0.0631547	−	0.317500i	−0.999430	+	0.0337676i	$0.989249\pi$
$150$	4.89620	−	6.15477i	0.399773	−	0.502535i
$151$	−5.87447	−	2.43328i	−0.478057	−	0.198018i	0.130625	−	0.991432i	$-0.458302\pi$
$151$	−5.87447	−	2.43328i	−0.478057	−	0.198018i	−0.608682	+	0.793414i	$0.708302\pi$
$152$	−10.6746	+	1.38053i	−0.865823	+	0.111976i
$153$	12.0905	+	20.4588i	0.977463	+	1.65399i
$154$	0.519328	+	1.11592i	0.0418486	+	0.0899234i
$155$	12.7156	+	8.49631i	1.02134	+	0.682440i
$156$	−14.5583	−	10.5952i	−1.16560	−	0.848297i
$157$	−3.77891	+	18.9979i	−0.301590	+	1.51619i	0.471482	+	0.881876i	$0.343719\pi$
$157$	−3.77891	+	18.9979i	−0.301590	+	1.51619i	−0.773072	+	0.634319i	$0.781281\pi$
$158$	10.1602	−	7.43785i	0.808299	−	0.591724i
$159$	−8.03256	+	9.25375i	−0.637024	+	0.733870i
$160$	15.8384	−	3.44807i	1.25214	−	0.272594i
$161$	1.69270			0.133403
$162$	7.77115	−	10.0801i	0.610559	−	0.791971i
$163$	−10.1639	−	2.02173i	−0.796101	−	0.158354i	−0.219750	−	0.975556i	$-0.570524\pi$
$163$	−10.1639	−	2.02173i	−0.796101	−	0.158354i	−0.576351	+	0.817202i	$0.695524\pi$
$164$	5.56810	+	4.68666i	0.434795	+	0.365967i
$165$	−0.811158	−	2.96694i	−0.0631485	−	0.230976i
$166$	−7.17959	−	15.4273i	−0.557244	−	1.19739i
$167$	−1.92893	−	4.65685i	−0.149265	−	0.360358i	0.831507	−	0.555514i	$-0.187479\pi$
$167$	−1.92893	−	4.65685i	−0.149265	−	0.360358i	−0.980772	+	0.195157i	$0.937479\pi$
$168$	−5.70976	+	3.83825i	−0.440518	+	0.296127i
$169$	−5.36403	+	12.9499i	−0.412618	+	0.996148i
$170$	1.37578	+	32.0709i	0.105517	+	2.45973i
$171$	−10.7727	+	3.77927i	−0.823810	+	0.289008i
$172$	2.77579	−	24.9938i	0.211652	−	1.90576i
$173$	−9.14610	−	13.6881i	−0.695365	−	1.04069i	−0.996207	−	0.0870133i	$-0.972268\pi$
$173$	−9.14610	−	13.6881i	−0.695365	−	1.04069i	0.300842	−	0.953674i	$-0.402732\pi$
$174$	1.23819	+	3.86872i	0.0938666	+	0.293287i
$175$	−3.18839	+	3.18839i	−0.241020	+	0.241020i
$176$	1.00530	−	2.26597i	0.0757773	−	0.170804i
$177$	−0.346977	−	4.91159i	−0.0260804	−	0.369178i
$178$	−0.774053	−	3.17376i	−0.0580177	−	0.237883i
$179$	12.4972	+	18.7034i	0.934085	+	1.39796i	0.917343	+	0.398097i	$0.130329\pi$
$179$	12.4972	+	18.7034i	0.934085	+	1.39796i	0.0167412	+	0.999860i	$0.494671\pi$
$180$	15.6763	−	7.05987i	1.16844	−	0.526211i
$181$	−1.10600	−	5.56026i	−0.0822086	−	0.413291i	−0.999873	−	0.0159344i	$-0.994928\pi$
$181$	−1.10600	−	5.56026i	−0.0822086	−	0.413291i	0.917664	−	0.397356i	$-0.130072\pi$
$182$	7.60570	+	6.98000i	0.563772	+	0.517392i
$183$	−5.08494	+	2.53980i	−0.375890	+	0.187747i
$184$	−2.24195	−	2.56826i	−0.165279	−	0.189335i
$185$	9.12624	+	22.0327i	0.670975	+	1.61988i
$186$	6.33738	+	11.4342i	0.464679	+	0.838397i
$187$	4.08188	+	2.72742i	0.298496	+	0.199449i
$188$	−0.751142	−	1.44831i	−0.0547827	−	0.105629i
$189$	−5.08076	+	5.23795i	−0.369571	+	0.381005i
$190$	−15.2398	−	2.35751i	−1.10561	−	0.171032i
$191$	−20.5615			−1.48778			−0.743890	−	0.668302i	$-0.767022\pi$
$191$	−20.5615			−1.48778			−0.743890	+	0.668302i	$0.767022\pi$
$192$	13.3861	+	3.57950i	0.966057	+	0.258328i
$193$	14.3332			1.03173			0.515863	−	0.856671i	$-0.327471\pi$
$193$	14.3332			1.03173			0.515863	+	0.856671i	$0.327471\pi$
$194$	1.79404	+	0.277527i	0.128804	+	0.0199253i
$195$	−15.8080	−	20.3862i	−1.13203	−	1.45988i
$196$	−8.92643	+	4.62954i	−0.637602	+	0.330681i
$197$	−7.08147	−	4.73168i	−0.504534	−	0.337119i	0.277116	−	0.960836i	$-0.410621\pi$
$197$	−7.08147	−	4.73168i	−0.504534	−	0.337119i	−0.781649	+	0.623718i	$0.785621\pi$
$198$	0.544953	−	2.57224i	0.0387281	−	0.182801i
$199$	6.76354	+	16.3286i	0.479455	+	1.15751i	0.959865	+	0.280462i	$0.0904877\pi$
$199$	6.76354	+	16.3286i	0.479455	+	1.15751i	−0.480410	+	0.877044i	$0.659512\pi$
$200$	9.06058	+	0.614654i	0.640680	+	0.0434626i
$201$	−4.09824	−	8.20512i	−0.289068	−	0.578745i
$202$	17.0000	+	15.6015i	1.19612	+	1.09772i
$203$	−0.454341	−	2.28413i	−0.0318885	−	0.160314i
$204$	−11.5085	+	24.9108i	−0.805753	+	1.74410i
$205$	5.79308	+	8.66995i	0.404606	+	0.605536i
$206$	4.72324	+	19.3662i	0.329084	+	1.34930i
$207$	−2.89093	−	2.17201i	−0.200934	−	0.150965i
$208$	0.516872	−	20.7847i	0.0358387	−	1.44116i
$209$	−1.66764	+	1.66764i	−0.115353	+	0.115353i
$210$	−9.38794	+	3.00461i	−0.647829	+	0.207338i
$211$	−4.58238	−	6.85802i	−0.315464	−	0.472126i	0.639523	−	0.768772i	$-0.279132\pi$
$211$	−4.58238	−	6.85802i	−0.315464	−	0.472126i	−0.954987	+	0.296646i	$0.904132\pi$
$212$	−14.0629	−	1.56182i	−0.965846	−	0.107266i
$213$	−4.50884	+	7.90193i	−0.308941	+	0.541431i
$214$	0.197590	+	4.60604i	0.0135070	+	0.314863i
$215$	13.7878	−	33.2867i	0.940320	−	2.27013i
$216$	14.6767	+	0.771259i	0.998622	+	0.0524775i
$217$	−2.86826	−	6.92459i	−0.194710	−	0.470072i
$218$	−6.76196	−	14.5299i	−0.457978	−	0.984092i
$219$	−4.52426	+	1.23693i	−0.305721	+	0.0835839i
$220$	2.28710	−	2.71725i	0.154196	−	0.183197i
$221$	40.3828	+	8.03263i	2.71644	+	0.540333i
$222$	−1.68910	+	20.3161i	−0.113365	+	1.36353i
$223$	2.21113			0.148068			0.0740340	−	0.997256i	$-0.476413\pi$
$223$	2.21113			0.148068			0.0740340	+	0.997256i	$0.476413\pi$
$224$	−7.39310	−	2.90748i	−0.493972	−	0.194264i
$225$	9.53662	−	1.35418i	0.635775	−	0.0902787i
$226$	7.21910	−	5.28481i	0.480207	−	0.351541i
$227$	3.26247	−	16.4015i	0.216538	−	1.08861i	−0.707619	−	0.706594i	$-0.750231\pi$
$227$	3.26247	−	16.4015i	0.216538	−	1.08861i	0.924157	−	0.382014i	$-0.124769\pi$
$228$	−10.6586	−	7.75712i	−0.705884	−	0.513728i
$229$	4.44239	+	2.96831i	0.293562	+	0.196152i	0.693626	−	0.720336i	$-0.256012\pi$
$229$	4.44239	+	2.96831i	0.293562	+	0.196152i	−0.400064	+	0.916487i	$0.631012\pi$
$230$	−2.06085	−	4.42831i	−0.135888	−	0.291994i
$231$	−0.477306	+	1.42991i	−0.0314044	+	0.0940812i
$232$	−2.86385	+	3.71464i	−0.188021	+	0.243878i
$233$	−2.12919	−	0.881941i	−0.139488	−	0.0577779i	0.311847	−	0.950132i	$-0.399052\pi$
$233$	−2.12919	−	0.881941i	−0.139488	−	0.0577779i	−0.451336	+	0.892354i	$0.649052\pi$
$234$	−4.03318	−	21.6803i	−0.263657	−	1.41729i
$235$	−0.456023	−	2.29258i	−0.0297477	−	0.149552i
$236$	4.43949	−	3.55196i	0.288986	−	0.231213i
$237$	15.2997	+	1.93526i	0.993822	+	0.125709i
$238$	8.17185	−	13.4437i	0.529702	−	0.871425i
$239$	−4.50092	−	4.50092i	−0.291141	−	0.291141i	0.546390	−	0.837531i	$-0.316002\pi$
$239$	−4.50092	−	4.50092i	−0.291141	−	0.291141i	−0.837531	+	0.546390i	$0.816002\pi$
$240$	16.9929	+	10.2644i	1.09689	+	0.662563i
$241$	−14.7720	+	14.7720i	−0.951550	+	0.951550i	−0.998879	−	0.0473295i	$-0.984929\pi$
$241$	−14.7720	+	14.7720i	−0.951550	+	0.951550i	0.0473295	+	0.998879i	$0.484929\pi$
$242$	3.55731	+	14.5856i	0.228673	+	0.937601i
$243$	15.3985	−	2.42638i	0.987812	−	0.155652i
$244$	−5.74936	−	3.16561i	−0.368065	−	0.202657i
$245$	−14.1300	+	2.81062i	−0.902730	+	0.179564i
$246$	1.00863	+	8.85637i	0.0643081	+	0.564662i
$247$	−7.56947	+	18.2743i	−0.481634	+	1.16277i
$248$	−6.70744	+	13.5234i	−0.425923	+	0.858735i
$249$	6.59865	−	19.7682i	0.418173	−	1.25276i
$250$	−6.81146	−	2.48504i	−0.430795	−	0.157168i
$251$	9.31594	−	13.9423i	0.588017	−	0.880029i	−0.411490	−	0.911414i	$-0.634992\pi$
$251$	9.31594	−	13.9423i	0.588017	−	0.880029i	0.999507	+	0.0313846i	$0.00999167\pi$
$252$	−8.31048	−	1.39150i	−0.523511	−	0.0876565i
$253$	−0.732630	−	0.145729i	−0.0460600	−	0.00916191i
$254$	6.90299	+	1.06785i	0.433132	+	0.0670031i
$255$	−25.7717	+	29.6897i	−1.61388	+	1.85924i
$256$	5.38062	+	15.0681i	0.336289	+	0.941759i
$257$		−	10.7540i		−	0.670815i	−0.942073	−	0.335408i	$-0.891126\pi$
$257$		−	10.7540i		−	0.670815i	0.942073	−	0.335408i	$-0.108874\pi$
$258$	23.5079	−	19.8990i	1.46354	−	1.23886i
$259$	2.28021	−	11.4634i	0.141685	−	0.712301i
$260$	9.00064	−	28.3955i	0.558196	−	1.76102i
$261$	−2.15494	+	4.48401i	−0.133388	+	0.277554i
$262$	2.11067	−	5.78531i	0.130398	−	0.357417i
$263$	−22.8844	+	9.47903i	−1.41111	+	0.584502i	−0.952611	−	0.304191i	$-0.901614\pi$
$263$	−22.8844	+	9.47903i	−1.41111	+	0.584502i	−0.458502	+	0.888693i	$0.651614\pi$
$264$	2.80173	−	1.16969i	0.172434	−	0.0719896i
$265$	−18.7290	−	7.75781i	−1.15051	−	0.476558i
$266$	5.56839	+	5.11029i	0.341420	+	0.313332i
$267$	1.98287	−	3.47507i	0.121350	−	0.212671i
$268$	5.10807	−	9.27724i	0.312025	−	0.566698i
$269$	10.9427	−	7.31170i	0.667190	−	0.445802i	−0.175299	−	0.984515i	$-0.556089\pi$
$269$	10.9427	−	7.31170i	0.667190	−	0.445802i	0.842489	+	0.538713i	$0.181089\pi$
$270$	19.8889	+	6.91470i	1.21040	+	0.420815i
$271$	−18.9225	−	18.9225i	−1.14946	−	1.14946i	−0.986659	−	0.162798i	$-0.947948\pi$
$271$	−18.9225	−	18.9225i	−1.14946	−	1.14946i	−0.162798	−	0.986659i	$-0.552052\pi$
$272$	−31.2210	+	5.40710i	−1.89305	+	0.327853i
$273$	0.890954	+	12.6118i	0.0539230	+	0.763299i
$274$	15.0668	+	9.15847i	0.910219	+	0.553283i
$275$	1.65449	−	1.10549i	0.0997694	−	0.0666638i
$276$	0.167297	−	4.17199i	0.0100701	−	0.251124i
$277$	−1.09597	+	0.218002i	−0.0658504	+	0.0130985i	−0.227906	−	0.973683i	$-0.573188\pi$
$277$	−1.09597	+	0.218002i	−0.0658504	+	0.0130985i	0.162055	+	0.986782i	$0.448188\pi$
$278$	−1.23517	−	28.7931i	−0.0740803	−	1.72690i
$279$	−3.98671	+	15.5068i	−0.238678	+	0.928369i
$280$	−9.01403	−	6.94949i	−0.538691	−	0.415311i
$281$	2.85654	−	1.18322i	0.170407	−	0.0705848i	−0.295849	−	0.955235i	$-0.595603\pi$
$281$	2.85654	−	1.18322i	0.170407	−	0.0705848i	0.466256	+	0.884650i	$0.345603\pi$
$282$	0.550865	−	1.92075i	0.0328035	−	0.114379i
$283$	11.4526	−	17.1400i	0.680786	−	1.01887i	−0.316736	−	0.948514i	$-0.602587\pi$
$283$	11.4526	−	17.1400i	0.680786	−	1.01887i	0.997522	−	0.0703541i	$-0.0224129\pi$
$284$	−10.4667	+	0.899652i	−0.621081	+	0.0533845i
$285$	−11.5735	−	14.9254i	−0.685557	−	0.884104i
$286$	−2.69095	−	3.67586i	−0.159119	−	0.217358i
$287$		−	5.11043i		−	0.301659i
$288$	8.89579	+	14.4522i	0.524189	+	0.851602i
$289$		−	45.7493i		−	2.69113i
$290$	−5.42240	+	3.96952i	−0.318414	+	0.233098i
$291$	1.36244	+	1.75702i	0.0798677	+	0.102999i
$292$	−4.14351	−	3.48759i	−0.242481	−	0.204096i
$293$	−3.64271	+	5.45170i	−0.212809	+	0.318492i	−0.922482	−	0.386040i	$-0.873843\pi$
$293$	−3.64271	+	5.45170i	−0.212809	+	0.318492i	0.709673	+	0.704531i	$0.248843\pi$
$294$	−11.8382	−	3.39516i	−0.690420	−	0.198010i
$295$	7.52574	−	3.11726i	0.438166	−	0.181494i
$296$	−20.4130	+	11.7234i	−1.18648	+	0.681407i
$297$	2.64999	−	1.82966i	0.153768	−	0.106168i
$298$	5.58315	−	0.239506i	0.323423	−	0.0138742i
$299$	−6.14459	+	1.22224i	−0.355351	+	0.0706837i
$300$	7.54329	+	8.17354i	0.435512	+	0.471899i
$301$	−14.6821	+	9.81028i	−0.846264	+	0.565455i
$302$	4.67079	−	7.68402i	0.268774	−	0.442166i
$303$	1.99143	+	28.1895i	0.114405	+	1.61944i
$304$	0.378420	−	15.2172i	0.0217039	−	0.872764i
$305$	−6.64915	−	6.64915i	−0.380729	−	0.380729i
$306$	−31.2070	+	12.4745i	−1.78398	+	0.713117i
$307$	4.76365	−	3.18297i	0.271876	−	0.181662i	−0.412157	−	0.911113i	$-0.635224\pi$
$307$	4.76365	−	3.18297i	0.271876	−	0.181662i	0.684033	+	0.729451i	$0.260224\pi$
$308$	−1.67188	+	0.484546i	−0.0952640	+	0.0276096i
$309$	−12.0994	+	21.2047i	−0.688311	+	1.20629i
$310$	−14.6235	+	15.9343i	−0.830558	+	0.905010i
$311$	11.4682	+	4.75027i	0.650300	+	0.269363i	0.683351	−	0.730090i	$-0.260522\pi$
$311$	11.4682	+	4.75027i	0.650300	+	0.269363i	−0.0330501	+	0.999454i	$0.510522\pi$
$312$	17.9553	−	18.0558i	1.01652	−	1.02221i
$313$	−2.90249	+	1.20225i	−0.164058	+	0.0679552i	−0.463201	−	0.886253i	$-0.653299\pi$
$313$	−2.90249	+	1.20225i	−0.164058	+	0.0679552i	0.299143	+	0.954208i	$0.403299\pi$
$314$	−25.7342	−	9.38869i	−1.45227	−	0.529834i
$315$	−10.8810	−	5.22924i	−0.613076	−	0.294634i
$316$	8.19844	+	15.8078i	0.461199	+	0.889258i
$317$	−2.87336	+	14.4454i	−0.161384	+	0.811332i	0.812266	+	0.583287i	$0.198234\pi$
$317$	−2.87336	+	14.4454i	−0.161384	+	0.811332i	−0.973650	+	0.228046i	$0.926766\pi$
$318$	−11.1963	−	13.2269i	−0.627858	−	0.741727i
$319$			1.02773i			0.0575416i
$320$	1.39474	+	22.8811i	0.0779681	+	1.27909i
$321$	−3.70134	+	4.26405i	−0.206589	+	0.237996i
$322$	−0.365961	+	2.36570i	−0.0203942	+	0.131835i
$323$	29.5656	+	5.88096i	1.64507	+	0.327225i
$324$	12.4078	+	13.0402i	0.689322	+	0.724455i
$325$	9.27181	−	13.8763i	0.514308	−	0.769716i
$326$	5.02299	−	13.7679i	0.278198	−	0.762534i
$327$	6.21481	−	18.6183i	0.343680	−	1.02959i
$328$	−7.75385	+	6.76866i	−0.428134	+	0.373737i
$329$	−0.438408	+	1.05841i	−0.0241702	+	0.0583520i
$330$	4.32194	−	0.492216i	0.237915	−	0.0270956i
$331$	31.4492	−	6.25563i	1.72860	−	0.343840i	0.772086	−	0.635518i	$-0.219213\pi$
$331$	31.4492	−	6.25563i	1.72860	−	0.343840i	0.956517	+	0.291678i	$0.0942134\pi$
$332$	23.1133	−	6.69874i	1.26851	−	0.367641i
$333$	−18.6037	+	16.6523i	−1.01948	+	0.912538i
$334$	6.92539	−	1.68904i	0.378941	−	0.0924204i
$335$	10.7291	−	10.7291i	0.586195	−	0.586195i
$336$	−4.12985	−	8.80973i	−0.225302	−	0.480610i
$337$	9.58298	+	9.58298i	0.522018	+	0.522018i	0.918181	−	0.396162i	$-0.129658\pi$
$337$	9.58298	+	9.58298i	0.522018	+	0.522018i	−0.396162	+	0.918181i	$0.629658\pi$
$338$	−16.9390	−	10.2965i	−0.921359	−	0.560055i
$339$	10.8709	+	1.37506i	0.590425	+	0.0746831i
$340$	−45.1195	−	5.01094i	−2.44695	−	0.271757i
$341$	0.645275	+	3.24402i	0.0349436	+	0.175673i
$342$	−2.95282	−	15.8729i	−0.159670	−	0.858309i
$343$	15.6056	+	6.46403i	0.842621	+	0.349025i
$344$	34.3309	+	9.28306i	1.85100	+	0.500509i
$345$	1.89410	−	5.67432i	0.101975	−	0.305495i
$346$	21.1077	−	9.82314i	1.13476	−	0.528095i
$347$	8.97159	+	5.99462i	0.481620	+	0.321808i	0.772570	−	0.634930i	$-0.218971\pi$
$347$	8.97159	+	5.99462i	0.481620	+	0.321808i	−0.290949	+	0.956738i	$0.593971\pi$
$348$	−5.67458	+	0.894061i	−0.304189	+	0.0479267i
$349$	3.99626	−	20.0905i	0.213915	−	1.07542i	−0.713291	−	0.700868i	$-0.752796\pi$
$349$	3.99626	−	20.0905i	0.213915	−	1.07542i	0.927205	−	0.374554i	$-0.122204\pi$
$350$	−3.76674	−	5.14539i	−0.201341	−	0.275033i
$351$	14.6613	−	22.6827i	0.782561	−	1.21071i
$352$	2.94955	+	1.89490i	0.157211	+	0.100998i
$353$	−14.2205			−0.756883			−0.378441	−	0.925625i	$-0.623540\pi$
$353$	−14.2205			−0.756883			−0.378441	+	0.925625i	$0.623540\pi$
$354$	6.93940	+	0.576950i	0.368825	+	0.0306645i
$355$	−14.7619	−	2.93632i	−0.783479	−	0.155844i
$356$	4.60296	−	0.395644i	0.243957	−	0.0209691i
$357$	18.5862	−	5.08145i	0.983686	−	0.268939i
$358$	−28.8415	+	13.4223i	−1.52432	+	0.709391i
$359$	9.43655	+	22.7818i	0.498042	+	1.20238i	0.950537	+	0.310612i	$0.100534\pi$
$359$	9.43655	+	22.7818i	0.498042	+	1.20238i	−0.452495	+	0.891767i	$0.649466\pi$
$360$	6.47760	+	23.4353i	0.341399	+	1.23515i
$361$	1.72912	−	4.17448i	0.0910066	−	0.219709i
$362$	8.01008	−	0.343616i	0.421000	−	0.0180601i
$363$	−9.11269	+	15.9704i	−0.478292	+	0.838227i
$364$	−11.3995	+	9.12058i	−0.597498	+	0.478048i
$365$	−4.31093	−	6.45176i	−0.225644	−	0.337701i
$366$	−2.45023	−	7.65577i	−0.128076	−	0.400173i
$367$	−11.5194	+	11.5194i	−0.601308	+	0.601308i	−0.940660	−	0.339351i	$-0.889792\pi$
$367$	−11.5194	+	11.5194i	−0.601308	+	0.601308i	0.339351	+	0.940660i	$0.389792\pi$
$368$	4.07409	−	2.57807i	0.212377	−	0.134391i
$369$	−6.55750	+	8.72801i	−0.341370	+	0.454362i
$370$	−32.7658	+	7.99129i	−1.70341	+	0.415447i
$371$	5.51983	+	8.26101i	0.286575	+	0.428890i
$372$	−17.3505	+	6.38499i	−0.899580	+	0.331046i
$373$	0.893118	+	4.49001i	0.0462439	+	0.232484i	0.996994	−	0.0774734i	$-0.0246853\pi$
$373$	0.893118	+	4.49001i	0.0462439	+	0.232484i	−0.950751	+	0.309957i	$0.899685\pi$
$374$	−4.69432	+	5.11512i	−0.242737	+	0.264497i
$375$	−3.96798	−	7.94432i	−0.204906	−	0.410243i
$376$	2.18654	−	0.736665i	0.112762	−	0.0379906i
$377$	3.29857	+	7.96344i	0.169885	+	0.410138i
$378$	−6.22205	−	8.23326i	−0.320028	−	0.423473i
$379$	5.15597	+	3.44511i	0.264845	+	0.176963i	0.680901	−	0.732375i	$-0.261588\pi$
$379$	5.15597	+	3.44511i	0.264845	+	0.176963i	−0.416057	+	0.909339i	$0.636588\pi$
$380$	6.58967	−	20.7893i	0.338043	−	1.06647i
$381$	5.24233	+	6.76058i	0.268573	+	0.346355i
$382$	4.44539	−	28.7366i	0.227446	−	1.47029i
$383$	15.5064			0.792339			0.396169	−	0.918177i	$-0.370339\pi$
$383$	15.5064			0.792339			0.396169	+	0.918177i	$0.370339\pi$
$384$	−7.89673	+	17.9344i	−0.402978	+	0.915209i
$385$	−2.49390			−0.127101
$386$	−3.09883	+	20.0319i	−0.157726	+	1.01960i
$387$	37.6635	+	2.08471i	1.91454	+	0.105972i
$388$	−0.775739	+	2.44733i	−0.0393822	+	0.124244i
$389$	7.84991	+	5.24515i	0.398006	+	0.265939i	0.738426	−	0.674334i	$-0.235569\pi$
$389$	7.84991	+	5.24515i	0.398006	+	0.265939i	−0.340420	+	0.940274i	$0.610569\pi$
$390$	31.9092	−	17.6856i	1.61578	−	0.895544i
$391$	3.65380	+	8.82106i	0.184781	+	0.446100i
$392$	−4.54031	−	13.4764i	−0.229320	−	0.680661i
$393$	6.74750	−	3.37020i	0.340366	−	0.170004i
$394$	8.14396	−	8.87400i	0.410287	−	0.447066i
$395$	4.97733	+	25.0227i	0.250437	+	1.25903i
$396$	3.47712	+	1.31774i	0.174732	+	0.0662188i
$397$	4.18431	+	6.26227i	0.210005	+	0.314294i	0.921487	−	0.388410i	$-0.126976\pi$
$397$	4.18431	+	6.26227i	0.210005	+	0.314294i	−0.711482	+	0.702704i	$0.751976\pi$
$398$	−24.2830	+	5.92242i	−1.21720	+	0.296864i
$399$	0.652297	+	9.23350i	0.0326557	+	0.462253i
$400$	−2.81793	+	12.5301i	−0.140896	+	0.626504i
$401$	15.9010	−	15.9010i	0.794059	−	0.794059i	−0.188092	−	0.982151i	$-0.560230\pi$
$401$	15.9010	−	15.9010i	0.794059	−	0.794059i	0.982151	+	0.188092i	$0.0602303\pi$
$402$	12.3534	−	3.95372i	0.616133	−	0.197194i
$403$	15.4119	+	23.0656i	0.767722	+	1.14898i
$404$	−25.4799	+	20.3860i	−1.26767	+	1.01424i
$405$	11.8736	+	22.8930i	0.590002	+	1.13756i
$406$	3.29050	−	0.141156i	0.163305	−	0.00700545i
$407$	−1.97383	+	4.76525i	−0.0978391	+	0.236204i
$408$	−32.3269	−	21.4698i	−1.60042	−	1.06291i
$409$	−5.30198	−	12.8001i	−0.262166	−	0.632925i	0.736906	−	0.675995i	$-0.236286\pi$
$409$	−5.30198	−	12.8001i	−0.262166	−	0.632925i	−0.999072	+	0.0430702i	$0.986286\pi$
$410$	−13.3695	+	6.22191i	−0.660273	+	0.307278i
$411$	5.69495	+	20.8302i	0.280911	+	1.02748i
$412$	−28.0871	+	2.41420i	−1.38375	+	0.118939i
$413$	−3.91557	−	0.778855i	−0.192673	−	0.0383250i
$414$	3.66059	−	3.57075i	0.179908	−	0.175493i
$415$	34.4777			1.69244
$416$	28.9367	+	5.21601i	1.41874	+	0.255736i
$417$	23.1377	−	26.6553i	1.13306	−	1.30531i
$418$	−1.97013	−	2.69122i	−0.0963624	−	0.131632i
$419$	3.19014	−	16.0379i	0.155849	−	0.783505i	−0.821225	−	0.570604i	$-0.806709\pi$
$419$	3.19014	−	16.0379i	0.155849	−	0.783505i	0.977074	−	0.212900i	$-0.0682910\pi$
$420$	−2.16955	−	13.7701i	−0.105863	−	0.671911i
$421$	−24.5853	−	16.4274i	−1.19821	−	0.800620i	−0.213866	−	0.976863i	$-0.568606\pi$
$421$	−24.5853	−	16.4274i	−1.19821	−	0.800620i	−0.984347	+	0.176243i	$0.943606\pi$
$422$	10.5754	−	4.92159i	0.514803	−	0.239579i
$423$	2.10686	−	1.24509i	0.102439	−	0.0605384i
$424$	5.22318	−	19.3165i	0.253660	−	0.938094i
$425$	−23.4978	−	9.73312i	−1.13981	−	0.472126i
$426$	−10.0688	−	8.00990i	−0.487837	−	0.388081i
$427$	0.899091	+	4.52004i	0.0435101	+	0.218740i
$428$	−6.48008	−	0.719674i	−0.313226	−	0.0347868i
$429$	0.700161	−	5.53530i	0.0338041	−	0.267247i
$430$	43.5402	+	26.4663i	2.09970	+	1.27632i
$431$	−24.0896	−	24.0896i	−1.16036	−	1.16036i	−0.984398	−	0.175959i	$-0.943698\pi$
$431$	−24.0896	−	24.0896i	−1.16036	−	1.16036i	−0.175959	−	0.984398i	$-0.556302\pi$
$432$	−4.25099	+	20.3452i	−0.204526	+	0.978861i
$433$	−11.9793	+	11.9793i	−0.575689	+	0.575689i	−0.933712	−	0.358024i	$-0.883451\pi$
$433$	−11.9793	+	11.9793i	−0.575689	+	0.575689i	0.358024	+	0.933712i	$0.383451\pi$
$434$	10.2979	−	2.51156i	0.494313	−	0.120559i
$435$	−8.16532	−	1.03283i	−0.391497	−	0.0495206i
$436$	21.7688	−	6.30908i	1.04254	−	0.302150i
$437$	−4.49866	+	0.894839i	−0.215200	+	0.0428060i
$438$	−0.750576	−	6.59049i	−0.0358639	−	0.314906i
$439$	−0.214982	+	0.519012i	−0.0102605	+	0.0247711i	−0.928927	−	0.370263i	$-0.879267\pi$
$439$	−0.214982	+	0.519012i	−0.0102605	+	0.0247711i	0.918666	+	0.395035i	$0.129267\pi$
$440$	3.30313	+	3.78390i	0.157470	+	0.180390i
$441$	−7.67392	−	12.9853i	−0.365425	−	0.618346i
$442$	−19.9570	+	54.7019i	−0.949260	+	2.60190i
$443$	−9.52397	+	14.2536i	−0.452497	+	0.677210i	−0.985649	−	0.168810i	$-0.946008\pi$
$443$	−9.52397	+	14.2536i	−0.452497	+	0.677210i	0.533151	+	0.846020i	$0.321008\pi$
$444$	−28.0284	−	6.75300i	−1.33017	−	0.320483i
$445$	6.49190	+	1.29132i	0.307746	+	0.0612144i
$446$	−0.478044	+	3.09025i	−0.0226361	+	0.146328i
$447$	5.16860	+	4.48652i	0.244467	+	0.212205i
$448$	5.66184	−	9.70393i	0.267497	−	0.458468i
$449$			18.2084i			0.859309i	0.902993	+	0.429654i	$0.141365\pi$
$449$			18.2084i			0.859309i	−0.902993	+	0.429654i	$0.858635\pi$
$450$	−0.169222	+	13.6211i	−0.00797720	+	0.642103i
$451$	−0.439971	+	2.21188i	−0.0207174	+	0.104153i
$452$	5.82524	+	11.2319i	0.273996	+	0.528305i
$453$	10.6233	−	2.90441i	0.499128	−	0.136461i
$454$	22.2173	+	8.10559i	1.04271	+	0.380414i
$455$	−19.3243	+	8.00438i	−0.905937	+	0.375251i
$456$	13.1457	−	13.2193i	0.615602	−	0.619050i
$457$	−16.1392	−	6.68507i	−0.754960	−	0.312715i	−0.0281962	−	0.999602i	$-0.508976\pi$
$457$	−16.1392	−	6.68507i	−0.754960	−	0.312715i	−0.726763	+	0.686888i	$0.758976\pi$
$458$	−5.10892	+	5.56690i	−0.238724	+	0.260124i
$459$	−38.2633	−	15.1706i	−1.78598	−	0.708101i
$460$	6.63451	−	1.92283i	0.309336	−	0.0896522i
$461$	−18.8867	+	12.6197i	−0.879639	+	0.587756i	−0.911300	−	0.411742i	$-0.864920\pi$
$461$	−18.8867	+	12.6197i	−0.879639	+	0.587756i	0.0316608	+	0.999499i	$0.489920\pi$
$462$	−1.89524	−	0.976224i	−0.0881744	−	0.0454181i
$463$	−3.34226	−	3.34226i	−0.155328	−	0.155328i	0.625165	−	0.780493i	$-0.285032\pi$
$463$	−3.34226	−	3.34226i	−0.155328	−	0.155328i	−0.780493	+	0.625165i	$0.785032\pi$
$464$	−4.57238	−	4.80559i	−0.212267	−	0.223094i
$465$	−26.4223	+	1.86660i	−1.22531	+	0.0865613i
$466$	1.69292	−	2.78507i	0.0784231	−	0.129016i
$467$	−19.3545	+	12.9323i	−0.895619	+	0.598434i	−0.915920	−	0.401360i	$-0.868537\pi$
$467$	−19.3545	+	12.9323i	−0.895619	+	0.598434i	0.0203012	+	0.999794i	$0.493537\pi$
$468$	31.1722	−	0.949449i	1.44094	−	0.0438883i
$469$	−7.29358	+	1.45078i	−0.336786	+	0.0669910i
$470$	3.30269	−	0.141678i	0.152342	−	0.00653514i
$471$	−14.9913	−	30.0143i	−0.690764	−	1.38298i
$472$	4.00437	+	6.97251i	0.184316	+	0.320936i
$473$	7.19927	−	2.98203i	0.331023	−	0.137114i
$474$	−6.01249	+	20.9643i	−0.276163	+	0.962922i
$475$	6.78821	−	10.1593i	0.311464	−	0.466139i
$476$	17.0220	+	14.3274i	0.780203	+	0.656696i
$477$	1.17298	−	21.1916i	0.0537070	−	0.970299i
$478$	7.26354	−	5.31735i	0.332227	−	0.243210i
$479$			19.7669i			0.903173i	0.892227	+	0.451587i	$0.149142\pi$
$479$			19.7669i			0.903173i	−0.892227	+	0.451587i	$0.850858\pi$
$480$	−18.0193	+	21.5300i	−0.822463	+	0.982704i
$481$			43.2592i			1.97245i
$482$	−17.4515	−	23.8389i	−0.794896	−	1.08583i
$483$	−2.31690	+	1.79658i	−0.105422	+	0.0817472i
$484$	−21.1538	+	1.81826i	−0.961538	+	0.0826482i
$485$	−2.04353	+	3.05837i	−0.0927921	+	0.138873i
$486$	0.0619466	+	22.0453i	0.00280995	+	0.999996i
$487$	−26.1071	+	10.8139i	−1.18303	+	0.490026i	−0.885478	−	0.464681i	$-0.846169\pi$
$487$	−26.1071	+	10.8139i	−1.18303	+	0.490026i	−0.297549	+	0.954707i	$0.596169\pi$
$488$	5.66724	−	7.35085i	0.256544	−	0.332757i
$489$	16.0578	−	8.02043i	0.726157	−	0.362696i
$490$	−0.873212	−	20.3556i	−0.0394477	−	0.919570i
$491$	35.7627	−	7.11364i	1.61395	−	0.321034i	0.696092	−	0.717952i	$-0.254920\pi$
$491$	35.7627	−	7.11364i	1.61395	−	0.321034i	0.917854	+	0.396918i	$0.129920\pi$
$492$	−12.5956	−	0.505088i	−0.567856	−	0.0227711i
$493$	10.9224	−	7.29812i	0.491921	−	0.328691i
$494$	−23.9035	−	14.5299i	−1.07547	−	0.653731i
$495$	4.25930	+	3.20008i	0.191441	+	0.143833i
$496$	−17.4500	−	12.2980i	−0.783527	−	0.552196i
$497$	5.21603	+	5.21603i	0.233971	+	0.233971i
$498$	26.2012	+	13.4961i	1.17410	+	0.604774i
$499$	−20.1348	+	13.4536i	−0.901357	+	0.602268i	−0.917558	−	0.397601i	$-0.869843\pi$
$499$	−20.1348	+	13.4536i	−0.901357	+	0.602268i	0.0162011	+	0.999869i	$0.494843\pi$
$500$	4.94571	−	8.98236i	0.221179	−	0.401704i
$501$	7.58287	+	4.32678i	0.338778	+	0.193306i
$502$	17.4715	+	16.0342i	0.779791	+	0.715640i
$503$	−39.2007	−	16.2374i	−1.74787	−	0.723992i	−0.998055	−	0.0623467i	$-0.980142\pi$
$503$	−39.2007	−	16.2374i	−1.74787	−	0.723992i	−0.749817	−	0.661645i	$-0.769858\pi$
$504$	3.74147	−	11.3138i	0.166658	−	0.503957i
$505$	−43.1931	+	17.8912i	−1.92207	+	0.796146i
$506$	0.362064	−	0.992410i	0.0160957	−	0.0441180i
$507$	−6.40259	−	23.4185i	−0.284349	−	1.04005i
$508$	−2.98484	+	9.41668i	−0.132431	+	0.417798i
$509$	−0.270782	+	1.36131i	−0.0120022	+	0.0603392i	−0.986322	−	0.164828i	$-0.947293\pi$
$509$	−0.270782	+	1.36131i	−0.0120022	+	0.0603392i	0.974320	+	0.225168i	$0.0722930\pi$
$510$	−35.9222	−	42.4371i	−1.59066	−	1.87915i
$511$			3.80294i			0.168232i
$512$	−22.2224	+	4.26218i	−0.982099	+	0.188364i
$513$	10.7340	−	16.6067i	0.473918	−	0.733205i
$514$	15.0297	+	2.32500i	0.662930	+	0.102552i
$515$	−39.6133	−	7.87958i	−1.74557	−	0.347216i
$516$	22.7282	+	37.1565i	1.00055	+	1.63573i
$517$	0.280872	−	0.420354i	0.0123527	−	0.0184872i
$518$	15.5282	+	5.66518i	0.682268	+	0.248914i
$519$	27.0469	+	9.02830i	1.18723	+	0.396298i
$520$	37.7394	+	18.7183i	1.65498	+	0.820852i
$521$	−0.000817905		0.00197460i	−3.58331e−5		8.65086e-5i	−0.923897	−	0.382640i	$-0.875015\pi$
$521$	−0.000817905		0.00197460i	−3.58331e−5		8.65086e-5i	0.923862	+	0.382727i	$0.125015\pi$
$522$	−5.80092	−	3.98117i	−0.253899	−	0.174251i
$523$	29.7091	−	5.90951i	1.29909	−	0.258405i	0.503370	−	0.864071i	$-0.332093\pi$
$523$	29.7091	−	5.90951i	1.29909	−	0.258405i	0.795719	+	0.605666i	$0.207093\pi$
$524$	7.62916	+	4.20063i	0.333281	+	0.183505i
$525$	0.980072	−	7.74820i	0.0427738	−	0.338159i
$526$	−8.30021	−	34.0324i	−0.361906	−	1.48388i
$527$	29.8944	−	29.8944i	1.30222	−	1.30222i
$528$	1.02902	+	4.16855i	0.0447823	+	0.181413i
$529$	15.2362	+	15.2362i	0.662443	+	0.662443i
$530$	14.8914	−	24.4982i	0.646843	−	1.06414i
$531$	5.68794	+	6.35450i	0.246835	+	0.275762i
$532$	−8.34598	+	6.67748i	−0.361844	+	0.289505i
$533$	3.69005	+	18.5511i	0.159834	+	0.803539i
$534$	4.42802	+	3.52255i	0.191619	+	0.152436i
$535$	−8.63017	−	3.57473i	−0.373115	−	0.154549i
$536$	11.8614	+	9.14472i	0.512335	+	0.394992i
$537$	−36.9568	−	12.3362i	−1.59480	−	0.532348i
$538$	7.85294	+	16.8742i	0.338564	+	0.727500i
$539$	−2.59078	−	1.73111i	−0.111593	−	0.0745640i
$540$	−13.9639	+	26.3016i	−0.600910	+	1.13184i
$541$	−0.487302	+	2.44983i	−0.0209508	+	0.105327i	−0.989846	−	0.142146i	$-0.954600\pi$
$541$	−0.487302	+	2.44983i	−0.0209508	+	0.105327i	0.968895	+	0.247472i	$0.0795999\pi$
$542$	30.5369	−	22.3548i	1.31167	−	0.960222i
$543$	7.41534	+	6.43676i	0.318223	+	0.276228i
$544$	−0.806941	−	44.8032i	−0.0345973	−	1.92092i
$545$	32.4721			1.39095
$546$	−17.8187	−	1.48147i	−0.762570	−	0.0634010i
$547$	9.87822	+	1.96490i	0.422362	+	0.0840131i	0.401695	−	0.915773i	$-0.368421\pi$
$547$	9.87822	+	1.96490i	0.422362	+	0.0840131i	0.0206668	+	0.999786i	$0.493421\pi$
$548$	−16.0572	+	19.0772i	−0.685930	+	0.814936i
$549$	4.26439	−	8.87337i	0.182000	−	0.378706i
$550$	1.18733	+	2.55130i	0.0506278	+	0.108788i
$551$	2.41499	+	5.83030i	0.102882	+	0.248379i
$552$	5.79456	+	1.13579i	0.246633	+	0.0483426i
$553$	4.78506	−	11.5522i	0.203481	−	0.491248i
$554$	−0.0677294	−	1.57885i	−0.00287755	−	0.0670788i
$555$	−35.8764	−	20.4711i	−1.52287	−	0.868949i
$556$	40.5080	+	4.49880i	1.71792	+	0.190792i
$557$	−22.0015	−	32.9276i	−0.932235	−	1.39519i	−0.918560	−	0.395282i	$-0.870647\pi$
$557$	−22.0015	−	32.9276i	−0.932235	−	1.39519i	−0.0136752	−	0.999906i	$-0.504353\pi$
$558$	−20.8103	−	8.92435i	−0.880968	−	0.377798i
$559$	46.2132	−	46.2132i	1.95461	−	1.95461i
$560$	11.6614	−	11.0954i	0.492782	−	0.468868i
$561$	−8.48190	+	0.599201i	−0.358106	+	0.0252983i
$562$	1.03607	+	4.24808i	0.0437040	+	0.179195i
$563$	−10.2428	−	15.3295i	−0.431684	−	0.646060i	0.550313	−	0.834959i	$-0.314508\pi$
$563$	−10.2428	−	15.3295i	−0.431684	−	0.646060i	−0.981997	+	0.188898i	$0.939508\pi$
$564$	2.56533	+	1.18515i	0.108020	+	0.0499037i
$565$	3.53654	+	17.7794i	0.148783	+	0.747984i
$566$	21.4787	+	19.7117i	0.902815	+	0.828544i
$567$	1.39492	−	12.5620i	0.0585810	−	0.527556i
$568$	1.00554	−	14.8226i	0.0421915	−	0.621942i
$569$	2.19064	+	5.28866i	0.0918362	+	0.221712i	0.963123	−	0.269062i	$-0.0867138\pi$
$569$	2.19064	+	5.28866i	0.0918362	+	0.221712i	−0.871287	+	0.490775i	$0.836714\pi$
$570$	23.3618	−	12.9482i	0.978517	−	0.542341i
$571$	−16.3605	−	10.9317i	−0.684666	−	0.457479i	0.163964	−	0.986466i	$-0.447572\pi$
$571$	−16.3605	−	10.9317i	−0.684666	−	0.457479i	−0.848630	+	0.528987i	$0.822572\pi$
$572$	5.71913	−	2.96613i	0.239129	−	0.124020i
$573$	28.1437	−	21.8234i	1.17572	−	0.911685i
$574$	7.14229	+	1.10487i	0.298113	+	0.0461165i
$575$	3.86999			0.161390
$576$	−22.1215	+	9.30812i	−0.921727	+	0.387838i
$577$	−18.3390			−0.763464			−0.381732	−	0.924273i	$-0.624672\pi$
$577$	−18.3390			−0.763464			−0.381732	+	0.924273i	$0.624672\pi$
$578$	63.9387	+	9.89096i	2.65950	+	0.411410i
$579$	−19.6187	+	15.2128i	−0.815324	+	0.632223i
$580$	−4.37544	−	8.43650i	−0.181680	−	0.350306i
$581$	−14.0498	−	9.38781i	−0.582886	−	0.389472i
$582$	−2.75016	+	1.52427i	−0.113998	+	0.0631829i
$583$	−1.67786	−	4.05072i	−0.0694900	−	0.167764i
$584$	5.77004	−	5.03691i	0.238766	−	0.208429i
$585$	43.2745	+	11.1256i	1.78918	+	0.459988i
$586$	−6.83169	−	6.26967i	−0.282214	−	0.258998i
$587$	−4.58738	−	23.0623i	−0.189342	−	0.951884i	−0.952236	−	0.305362i	$-0.901223\pi$
$587$	−4.58738	−	23.0623i	−0.189342	−	0.951884i	0.762895	−	0.646522i	$-0.223777\pi$
$588$	7.30446	−	15.8110i	0.301231	−	0.652033i
$589$	11.2836	+	16.8871i	0.464932	+	0.695819i
$590$	2.72960	+	11.1919i	0.112376	+	0.460761i
$591$	14.7149	−	1.03953i	0.605289	−	0.0427604i
$592$	−11.9712	−	31.0636i	−0.492013	−	1.27671i
$593$	−14.6278	+	14.6278i	−0.600692	+	0.600692i	−0.940496	−	0.339804i	$-0.889639\pi$
$593$	−14.6278	+	14.6278i	−0.600692	+	0.600692i	0.339804	+	0.940496i	$0.389639\pi$
$594$	1.98419	+	4.09917i	0.0814122	+	0.168191i
$595$	17.7098	+	26.5046i	0.726031	+	1.08658i
$596$	−0.872342	+	7.85473i	−0.0357325	+	0.321742i
$597$	−26.5883	−	15.1713i	−1.08819	−	0.620920i
$598$	−0.379727	−	8.85186i	−0.0155282	−	0.361980i
$599$	−10.0110	+	24.1688i	−0.409040	+	0.987510i	0.576351	+	0.817202i	$0.304476\pi$
$599$	−10.0110	+	24.1688i	−0.409040	+	0.987510i	−0.985391	+	0.170308i	$0.945524\pi$
$600$	−13.0541	+	8.77531i	−0.532932	+	0.358251i
$601$	2.11878	+	5.11519i	0.0864268	+	0.208653i	0.961184	−	0.275909i	$-0.0889790\pi$
$601$	2.11878	+	5.11519i	0.0864268	+	0.208653i	−0.874757	+	0.484562i	$0.838979\pi$
$602$	−10.5365	−	22.6406i	−0.429435	−	0.922761i
$603$	14.3182	+	6.88107i	0.583081	+	0.280219i
$604$	9.72929	+	8.18913i	0.395879	+	0.333211i
$605$	−29.8348	−	5.93451i	−1.21296	−	0.241272i
$606$	−39.8278	−	3.31133i	−1.61790	−	0.134514i
$607$	−31.0218			−1.25914			−0.629569	−	0.776945i	$-0.716768\pi$
$607$	−31.0218			−1.25914			−0.629569	+	0.776945i	$0.716768\pi$
$608$	21.1855	+	3.81882i	0.859187	+	0.154873i
$609$	3.04619	+	2.64419i	0.123438	+	0.107148i
$610$	10.7303	−	7.85524i	0.434458	−	0.318049i
$611$	0.827205	−	4.15864i	0.0334651	−	0.168241i
$612$	−10.6872	−	46.3115i	−0.432006	−	1.87203i
$613$	6.48447	+	4.33279i	0.261905	+	0.175000i	0.679589	−	0.733593i	$-0.262158\pi$
$613$	6.48447	+	4.33279i	0.261905	+	0.175000i	−0.417684	+	0.908592i	$0.637158\pi$
$614$	3.41859	+	7.34578i	0.137963	+	0.296452i
$615$	−17.1313	−	5.71846i	−0.690802	−	0.230591i
$616$	−0.315738	−	2.44136i	−0.0127214	−	0.0983651i
$617$	−22.1792	−	9.18693i	−0.892901	−	0.369852i	−0.111415	−	0.993774i	$-0.535538\pi$
$617$	−22.1792	−	9.18693i	−0.892901	−	0.369852i	−0.781486	+	0.623922i	$0.785538\pi$
$618$	−27.0196	−	21.4945i	−1.08689	−	0.864634i
$619$	−0.814394	−	4.09424i	−0.0327333	−	0.164561i	0.960961	−	0.276683i	$-0.0892353\pi$
$619$	−0.814394	−	4.09424i	−0.0327333	−	0.164561i	−0.993694	+	0.112122i	$0.964235\pi$
$620$	−19.1081	−	23.8826i	−0.767400	−	0.959149i
$621$	6.26228	−	0.0954000i	0.251297	−	0.00382827i
$622$	−9.11834	+	15.0008i	−0.365612	+	0.601477i
$623$	−2.29388	−	2.29388i	−0.0919022	−	0.0919022i
$624$	21.3528	+	28.9978i	0.854794	+	1.16084i
$625$	21.7399	−	21.7399i	0.869595	−	0.869595i
$626$	−1.05274	−	4.31642i	−0.0420758	−	0.172519i
$627$	0.512611	−	4.05258i	0.0204717	−	0.161844i
$628$	18.6853	−	33.9361i	0.745623	−	1.35420i
$629$	64.6605	−	12.8618i	2.57818	−	0.512832i
$630$	9.66080	−	14.0767i	0.384895	−	0.560827i
$631$	9.56784	−	23.0988i	0.380890	−	0.919549i	−0.610904	−	0.791704i	$-0.709194\pi$
$631$	9.56784	−	23.0988i	0.380890	−	0.919549i	0.991794	−	0.127845i	$-0.0408060\pi$
$632$	−23.8653	+	8.04043i	−0.949312	+	0.319831i
$633$	13.5511	+	4.52336i	0.538607	+	0.179788i
$634$	−19.5675	−	7.13886i	−0.777124	−	0.283520i
$635$	−7.86300	+	11.7678i	−0.312034	+	0.466991i
$636$	20.9064	−	12.7882i	0.828993	−	0.507086i
$637$	−25.6311	−	5.09834i	−1.01554	−	0.202004i
$638$	−1.43634	−	0.222194i	−0.0568652	−	0.00879673i
$639$	−2.21536	−	15.6014i	−0.0876383	−	0.617180i
$640$	−32.2799	−	2.99760i	−1.27598	−	0.118491i
$641$		−	12.9118i		−	0.509985i	−0.966943	−	0.254992i	$-0.917927\pi$
$641$		−	12.9118i		−	0.509985i	0.966943	−	0.254992i	$-0.0820730\pi$
$642$	−5.15917	−	6.09484i	−0.203616	−	0.240544i
$643$	−2.66723	+	13.4091i	−0.105185	+	0.528802i	0.891882	+	0.452269i	$0.149385\pi$
$643$	−2.66723	+	13.4091i	−0.105185	+	0.528802i	−0.997067	+	0.0765335i	$0.975615\pi$
$644$	−3.22716	−	1.02293i	−0.127168	−	0.0403089i
$645$	16.4573	+	60.1953i	0.648007	+	2.37019i
$646$	−14.6112	+	40.0491i	−0.574871	+	1.57571i
$647$	−4.76274	+	1.97279i	−0.187242	+	0.0775584i	−0.474335	−	0.880345i	$-0.657311\pi$
$647$	−4.76274	+	1.97279i	−0.187242	+	0.0775584i	0.287092	+	0.957903i	$0.407311\pi$
$648$	−20.9074	+	14.5217i	−0.821320	+	0.570467i
$649$	1.62767	+	0.674204i	0.0638917	+	0.0264648i
$650$	17.3887	+	15.9582i	0.682043	+	0.625933i
$651$	11.2755	+	6.43380i	0.441922	+	0.252160i
$652$	18.1559	+	9.99670i	0.711041	+	0.391501i
$653$	14.6461	−	9.78621i	0.573146	−	0.382964i	−0.234956	−	0.972006i	$-0.575495\pi$
$653$	14.6461	−	9.78621i	0.573146	−	0.382964i	0.808102	+	0.589042i	$0.200495\pi$
$654$	24.6771	+	12.7110i	0.964952	+	0.497041i
$655$	8.82313	+	8.82313i	0.344748	+	0.344748i
$656$	−7.78344	−	12.3001i	−0.303892	−	0.480237i
$657$	4.87978	−	6.49497i	0.190378	−	0.253393i
$658$	−1.38444	−	0.841542i	−0.0539711	−	0.0328067i
$659$	1.74432	−	1.16552i	0.0679491	−	0.0454021i	−0.521132	−	0.853476i	$-0.674490\pi$
$659$	1.74432	−	1.16552i	0.0679491	−	0.0454021i	0.589081	+	0.808074i	$0.299490\pi$
$660$	−0.246484	+	6.14671i	−0.00959439	+	0.239260i
$661$	−7.91442	+	1.57428i	−0.307835	+	0.0612323i	−0.346591	−	0.938016i	$-0.612661\pi$
$661$	−7.91442	+	1.57428i	−0.307835	+	0.0612323i	0.0387553	+	0.999249i	$0.487661\pi$
$662$	1.94351	+	45.3055i	0.0755368	+	1.76085i
$663$	−63.7998	+	31.8663i	−2.47778	+	1.23758i
$664$	4.36501	+	33.7512i	0.169395	+	1.30980i
$665$	−14.1480	+	5.86028i	−0.548634	+	0.227252i
$666$	−19.2509	−	29.6006i	−0.745958	−	1.14700i
$667$	−1.11047	+	1.66194i	−0.0429977	+	0.0643506i
$668$	0.863326	+	10.0440i	0.0334031	+	0.388615i
$669$	−3.02650	+	2.34682i	−0.117011	+	0.0907335i
$670$	12.6753	+	17.3146i	0.489690	+	0.668920i
$671$		−	2.03375i		−	0.0785122i
$672$	13.2053	−	3.86718i	0.509404	−	0.149180i
$673$			13.4546i			0.518636i	0.965792	+	0.259318i	$0.0834978\pi$
$673$			13.4546i			0.518636i	−0.965792	+	0.259318i	$0.916502\pi$
$674$	−15.4649	+	11.3212i	−0.595686	+	0.436078i
$675$	−11.6160	+	11.9754i	−0.447101	+	0.460934i
$676$	18.0525	−	21.4477i	0.694325	−	0.824910i
$677$	−20.7779	+	31.0963i	−0.798558	+	1.19513i	0.178873	+	0.983872i	$0.442755\pi$
$677$	−20.7779	+	31.0963i	−0.798558	+	1.19513i	−0.977431	+	0.211254i	$0.932245\pi$
$678$	−4.27205	+	14.8958i	−0.164067	+	0.572068i
$679$	1.66550	−	0.689874i	0.0639162	−	0.0264749i
$680$	16.7580	−	61.9752i	0.642642	−	2.37664i
$681$	12.9426	+	25.9124i	0.495960	+	0.992965i
$682$	−4.67331	+	0.200476i	−0.178950	+	0.00767661i
$683$	−16.1247	+	3.20740i	−0.616995	+	0.122728i	−0.493686	−	0.869640i	$-0.664351\pi$
$683$	−16.1247	+	3.20740i	−0.616995	+	0.122728i	−0.123309	+	0.992368i	$0.539351\pi$
$684$	22.8222	−	0.695123i	0.872629	−	0.0265787i
$685$	−29.7046	+	19.8480i	−1.13495	+	0.758353i
$686$	−12.4080	+	20.4127i	−0.473739	+	0.779359i
$687$	−9.23103	+	0.652123i	−0.352186	+	0.0248800i
$688$	−20.3962	+	45.9736i	−0.777599	+	1.75273i
$689$	−26.0022	−	26.0022i	−0.990606	−	0.990606i
$690$	7.52087	+	3.87395i	0.286315	+	0.147479i
$691$	9.07188	−	6.06164i	0.345111	−	0.230596i	−0.370919	−	0.928665i	$-0.620957\pi$
$691$	9.07188	−	6.06164i	0.345111	−	0.230596i	0.716030	+	0.698070i	$0.245957\pi$
$692$	9.16524	+	31.6237i	0.348410	+	1.20215i
$693$	−0.864348	−	2.46380i	−0.0328339	−	0.0935920i
$694$	−10.3177	+	11.2426i	−0.391654	+	0.426762i
$695$	53.9486	+	22.3462i	2.04639	+	0.847641i
$696$	−0.0226902	−	8.12403i	−0.000860071	−	0.307941i
$697$	26.6317	−	11.0312i	1.00875	−	0.417836i
$698$	27.2144	+	9.92869i	1.03008	+	0.375807i
$699$	3.85041	−	1.05270i	0.145636	−	0.0398167i
$700$	8.00552	−	4.15192i	0.302580	−	0.156928i
$701$	−3.73772	+	18.7908i	−0.141172	+	0.709718i	0.843753	+	0.536732i	$0.180342\pi$
$701$	−3.73772	+	18.7908i	−0.141172	+	0.709718i	−0.984924	+	0.172986i	$0.944658\pi$
$702$	28.5313	+	25.3944i	1.07684	+	0.958451i
$703$			31.6715i			1.19451i
$704$	−3.28598	+	3.71258i	−0.123845	+	0.139923i
$705$	3.05746	+	2.65398i	0.115151	+	0.0999547i
$706$	3.07447	−	19.8745i	0.115709	−	0.747986i
$707$	22.4729	+	4.47014i	0.845182	+	0.168117i
$708$	−2.30663	+	9.57370i	−0.0866886	+	0.359802i
$709$	7.02265	−	10.5101i	0.263741	−	0.394717i	−0.675837	−	0.737051i	$-0.736218\pi$
$709$	7.02265	−	10.5101i	0.263741	−	0.394717i	0.939578	+	0.342335i	$0.111218\pi$
$710$	7.29528	−	19.9962i	0.273787	−	0.750445i
$711$	−22.9956	+	13.5897i	−0.862402	+	0.509654i
$712$	−0.442210	+	6.51860i	−0.0165725	+	0.244295i
$713$	−2.46173	+	5.94315i	−0.0921926	+	0.222573i
$714$	3.08345	+	27.0745i	0.115395	+	1.01324i
$715$	9.05300	−	1.80075i	0.338563	−	0.0673444i
$716$	−12.5234	−	43.2106i	−0.468020	−	1.61485i
$717$	10.9378	+	1.38353i	0.408480	+	0.0516688i
$718$	−33.8798	+	8.26300i	−1.26438	+	0.308373i
$719$	−11.6684	+	11.6684i	−0.435158	+	0.435158i	−0.890379	−	0.455221i	$-0.849560\pi$
$719$	−11.6684	+	11.6684i	−0.435158	+	0.435158i	0.455221	+	0.890379i	$0.349560\pi$
$720$	−34.1535	+	3.98632i	−1.27282	+	0.148561i
$721$	13.9971	+	13.9971i	0.521281	+	0.521281i
$722$	5.46037	+	3.31913i	0.203214	+	0.123525i
$723$	4.54073	−	35.8979i	0.168872	−	1.33506i
$724$	−1.25154	+	11.2691i	−0.0465131	+	0.418813i
$725$	−1.03875	−	5.22215i	−0.0385782	−	0.193946i
$726$	−20.3499	−	16.1886i	−0.755254	−	0.600815i
$727$	−9.27932	−	3.84362i	−0.344151	−	0.142552i	0.203912	−	0.978989i	$-0.434634\pi$
$727$	−9.27932	−	3.84362i	−0.344151	−	0.142552i	−0.548063	+	0.836437i	$0.684634\pi$
$728$	−10.2823	−	17.9037i	−0.381086	−	0.663556i
$729$	−18.5015	+	19.6646i	−0.685239	+	0.728318i
$730$	9.94894	−	4.63005i	0.368227	−	0.171366i
$731$	−82.8160	−	55.3359i	−3.06306	−	2.04667i
$732$	11.2294	−	1.76925i	0.415049	−	0.0653933i
$733$	0.693371	−	3.48581i	0.0256102	−	0.128751i	−0.965865	−	0.259045i	$-0.916592\pi$
$733$	0.693371	−	3.48581i	0.0256102	−	0.128751i	0.991475	+	0.130294i	$0.0415921\pi$
$734$	−13.6089	−	18.5899i	−0.502315	−	0.686166i
$735$	16.3574	−	18.8442i	0.603351	−	0.695078i
$736$	2.72227	+	6.25128i	0.100344	+	0.230425i
$737$	3.28169			0.120883
$738$	−10.7805	−	11.0517i	−0.396834	−	0.406818i
$739$	−31.8013	−	6.32567i	−1.16983	−	0.232694i	−0.428315	−	0.903630i	$-0.640892\pi$
$739$	−31.8013	−	6.32567i	−1.16983	−	0.232694i	−0.741515	+	0.670936i	$0.765892\pi$
$740$	−4.08461	−	47.5208i	−0.150153	−	1.74690i
$741$	−9.03504	−	33.0471i	−0.331910	−	1.21402i
$742$	−12.7389	+	5.92843i	−0.467659	+	0.217640i
$743$	9.13394	+	22.0513i	0.335092	+	0.808983i	0.998172	+	0.0604348i	$0.0192487\pi$
$743$	9.13394	+	22.0513i	0.335092	+	0.808983i	−0.663080	+	0.748548i	$0.730751\pi$
$744$	−5.17244	−	25.6293i	−0.189631	−	0.939615i
$745$	−4.33306	+	10.4609i	−0.158751	+	0.383259i
$746$	−6.46828	+	0.277476i	−0.236821	+	0.0101591i
$747$	11.9494	+	34.0615i	0.437206	+	1.24624i
$748$	−6.13394	−	7.66662i	−0.224279	−	0.280319i
$749$	2.54349	+	3.80660i	0.0929371	+	0.139090i
$750$	11.9608	−	3.82805i	0.436746	−	0.139781i
$751$	6.00701	−	6.00701i	0.219199	−	0.219199i	−0.588962	−	0.808161i	$-0.700463\pi$
$751$	6.00701	−	6.00701i	0.219199	−	0.219199i	0.808161	+	0.588962i	$0.200463\pi$
$752$	0.556826	+	3.21516i	0.0203054	+	0.117245i
$753$	2.04666	+	28.9713i	0.0745846	+	1.05577i
$754$	−11.8428	+	2.88835i	−0.431288	+	0.105188i
$755$	10.1224	+	15.1493i	0.368392	+	0.551338i
$756$	12.8519	−	6.91585i	0.467420	−	0.251527i
$757$	−3.70500	−	18.6263i	−0.134660	−	0.676983i	−0.987853	−	0.155388i	$-0.950337\pi$
$757$	−3.70500	−	18.6263i	−0.134660	−	0.676983i	0.853193	−	0.521595i	$-0.174663\pi$
$758$	−5.92957	+	6.46110i	−0.215372	+	0.234678i
$759$	1.15746	−	0.578123i	0.0420133	−	0.0209845i
$760$	27.6302	+	13.7043i	1.00225	+	0.497107i
$761$	13.2497	+	31.9875i	0.480300	+	1.15955i	0.959467	+	0.281822i	$0.0909388\pi$
$761$	13.2497	+	31.9875i	0.480300	+	1.15955i	−0.479167	+	0.877724i	$0.659061\pi$
$762$	−10.5819	+	5.86499i	−0.383342	+	0.212466i
$763$	−13.2326	−	8.84173i	−0.479052	−	0.320092i
$764$	39.2009	+	12.4257i	1.41824	+	0.449545i
$765$	3.76338	−	67.9912i	0.136065	−	2.45823i
$766$	−3.35247	+	21.6716i	−0.121130	+	0.783025i
$767$	14.7761			0.533534
$768$	−23.3576	−	14.9138i	−0.842846	−	0.538155i
$769$	44.6907			1.61159			0.805794	−	0.592196i	$-0.201739\pi$
$769$	44.6907			1.61159			0.805794	+	0.592196i	$0.201739\pi$
$770$	0.539181	−	3.48546i	0.0194307	−	0.125607i
$771$	11.4139	+	14.7196i	0.411063	+	0.530113i
$772$	−27.3265	−	8.66178i	−0.983501	−	0.311744i
$773$	16.5914	+	11.0860i	0.596751	+	0.398736i	0.816941	−	0.576721i	$-0.195668\pi$
$773$	16.5914	+	11.0860i	0.596751	+	0.398736i	−0.220191	+	0.975457i	$0.570668\pi$
$774$	−11.0564	+	52.1874i	−0.397414	+	1.87584i
$775$	−6.55764	−	15.8315i	−0.235557	−	0.568686i
$776$	−3.25264	−	1.61328i	−0.116763	−	0.0579132i
$777$	9.04585	+	18.1108i	0.324518	+	0.649720i
$778$	−9.02771	+	9.83696i	−0.323659	+	0.352672i
$779$	2.70161	+	13.5819i	0.0967952	+	0.486622i
$780$	17.8184	+	48.4196i	0.638003	+	1.73370i
$781$	−1.80852	−	2.70665i	−0.0647141	−	0.0968515i
$782$	−13.1182	+	3.19941i	−0.469105	+	0.114411i
$783$	−1.80961	−	8.42471i	−0.0646700	−	0.301075i
$784$	19.8161	−	3.43190i	0.707718	−	0.122568i
$785$	39.2471	−	39.2471i	1.40079	−	1.40079i
$786$	3.25135	+	10.1589i	0.115972	+	0.362355i
$787$	−22.3125	−	33.3931i	−0.795356	−	1.19033i	−0.978296	−	0.207210i	$-0.933562\pi$
$787$	−22.3125	−	33.3931i	−0.795356	−	1.19033i	0.182941	−	0.983124i	$-0.441438\pi$
$788$	10.6415	+	13.3005i	0.379087	+	0.473810i
$789$	21.2624	−	37.2633i	0.756963	−	1.32661i
$790$	−36.0476	+	1.54637i	−1.28252	+	0.0550173i
$791$	3.39993	−	8.20815i	0.120887	−	0.291848i
$792$	−2.59341	+	4.57469i	−0.0921527	+	0.162555i
$793$	−6.52749	−	15.7588i	−0.231798	−	0.559610i
$794$	−9.65673	+	4.49406i	−0.342704	+	0.159488i
$795$	33.8694	−	9.25984i	1.20122	−	0.328413i
$796$	−3.02714	−	35.2181i	−0.107294	−	1.24827i
$797$	−6.76280	−	1.34520i	−0.239551	−	0.0476496i	0.0738548	−	0.997269i	$-0.476470\pi$
$797$	−6.76280	−	1.34520i	−0.239551	−	0.0476496i	−0.313405	+	0.949619i	$0.601470\pi$
$798$	−13.0457	−	1.08463i	−0.461812	−	0.0383956i
$799$	−6.46196			−0.228608
$800$	−16.9027	−	6.64730i	−0.597600	−	0.235018i
$801$	0.974259	+	6.86108i	0.0344238	+	0.242424i
$802$	18.7853	+	25.6609i	0.663333	+	0.906118i
$803$	0.327405	−	1.64598i	0.0115539	−	0.0580853i
$804$	2.85488	+	18.1198i	0.100684	+	0.639037i
$805$	−4.03291	−	2.69470i	−0.142141	−	0.0949758i
$806$	−35.5682	+	16.5528i	−1.25284	+	0.583047i
$807$	−7.21752	+	21.6222i	−0.254069	+	0.761138i
$808$	−22.9826	−	40.0179i	−0.808525	−	1.40782i
$809$	0.606598	+	0.251261i	0.0213269	+	0.00883388i	0.393321	−	0.919401i	$-0.371326\pi$
$809$	0.606598	+	0.251261i	0.0213269	+	0.00883388i	−0.371995	+	0.928235i	$0.621326\pi$
$810$	−34.5621	+	11.6449i	−1.21439	+	0.409161i
$811$	−7.47270	−	37.5678i	−0.262402	−	1.31918i	−0.857065	−	0.515209i	$-0.827714\pi$
$811$	−7.47270	−	37.5678i	−0.262402	−	1.31918i	0.594662	−	0.803976i	$-0.297286\pi$
$812$	−0.514127	+	4.62929i	−0.0180423	+	0.162456i
$813$	45.9840	+	5.81652i	1.61273	+	0.203994i
$814$	−6.23312	−	3.78885i	−0.218471	−	0.132799i
$815$	20.9974	+	20.9974i	0.735505	+	0.735505i
$816$	36.9950	−	40.5380i	1.29509	−	1.41911i
$817$	33.8343	−	33.8343i	1.18371	−	1.18371i
$818$	19.0356	−	4.64262i	0.665564	−	0.162325i
$819$	−14.6052	−	16.3168i	−0.510349	−	0.570156i
$820$	−5.80520	−	20.0303i	−0.202726	−	0.699487i
$821$	−13.2030	+	2.62623i	−0.460787	+	0.0916562i	−0.420025	−	0.907513i	$-0.637979\pi$
$821$	−13.2030	+	2.62623i	−0.460787	+	0.0916562i	−0.0407620	+	0.999169i	$0.512979\pi$
$822$	−30.3433	+	3.45573i	−1.05834	+	0.120532i
$823$	−8.43308	+	20.3592i	−0.293959	+	0.709679i	0.706040	+	0.708172i	$0.250480\pi$
$823$	−8.43308	+	20.3592i	−0.293959	+	0.709679i	−0.999999	+	0.00150707i	$0.999520\pi$
$824$	2.69835	−	39.7762i	0.0940015	−	1.38567i
$825$	−1.09125	+	3.26918i	−0.0379926	+	0.113818i
$826$	1.93506	−	5.30397i	0.0673295	−	0.184549i
$827$	−23.6415	+	35.3820i	−0.822096	+	1.23035i	0.148326	+	0.988939i	$0.452612\pi$
$827$	−23.6415	+	35.3820i	−0.822096	+	1.23035i	−0.970422	+	0.241415i	$0.922388\pi$
$828$	4.19903	+	5.88800i	0.145926	+	0.204622i
$829$	11.1417	+	2.21622i	0.386967	+	0.0769725i	0.384740	−	0.923025i	$-0.374291\pi$
$829$	11.1417	+	2.21622i	0.386967	+	0.0769725i	0.00222692	+	0.999998i	$0.499291\pi$
$830$	−7.45405	+	48.1857i	−0.258734	+	1.67255i
$831$	1.26874	−	1.46162i	0.0440119	−	0.0507030i
$832$	−13.5459	+	39.3140i	−0.469621	+	1.36297i
$833$			39.8272i			1.37993i
$834$	32.2508	+	38.0998i	1.11675	+	1.31929i
$835$	−2.81776	+	14.1658i	−0.0975126	+	0.490229i
$836$	4.18716	−	2.17160i	0.144816	−	0.0751064i
$837$	−11.0016	−	25.4564i	−0.380272	−	0.879903i
$838$	21.7248	+	7.92591i	0.750469	+	0.273796i
$839$	32.9377	−	13.6432i	1.13713	−	0.471017i	0.266934	−	0.963715i	$-0.413989\pi$
$839$	32.9377	−	13.6432i	1.13713	−	0.471017i	0.870200	+	0.492698i	$0.163989\pi$
$840$	19.7140	−	0.0550607i	0.680197	−	0.00189977i
$841$	−24.2518	−	10.0454i	−0.836270	−	0.346394i
$842$	28.2740	−	30.8085i	0.974387	−	1.06173i
$843$	−2.65408	+	4.65138i	−0.0914113	+	0.160202i
$844$	4.59197	+	15.8441i	0.158062	+	0.545378i
$845$	33.3956	−	22.3143i	1.14885	−	0.767634i
$846$	1.28463	+	3.21371i	0.0441664	+	0.110490i
$847$	10.5420	+	10.5420i	0.362226	+	0.362226i
$848$	25.8674	+	11.4761i	0.888289	+	0.394091i
$849$	2.51607	+	35.6159i	0.0863514	+	1.22234i
$850$	18.6831	−	30.7360i	0.640826	−	1.05424i
$851$	−8.34081	+	5.57315i	−0.285919	+	0.191045i
$852$	13.3714	−	12.3404i	0.458098	−	0.422775i
$853$	−46.7349	+	9.29615i	−1.60017	+	0.318294i	−0.912925	−	0.408128i	$-0.866182\pi$
$853$	−46.7349	+	9.29615i	−1.60017	+	0.318294i	−0.687249	+	0.726422i	$0.741182\pi$
$854$	−6.51154	+	0.279332i	−0.222820	+	0.00955854i
$855$	31.6827	+	8.14544i	1.08353	+	0.278568i
$856$	2.40680	−	8.90090i	0.0822627	−	0.304227i
$857$	23.2798	−	9.64279i	0.795221	−	0.329392i	0.0521807	−	0.998638i	$-0.483383\pi$
$857$	23.2798	−	9.64279i	0.795221	−	0.329392i	0.743041	+	0.669246i	$0.233383\pi$
$858$	7.58470	+	2.17527i	0.258937	+	0.0742623i
$859$	−6.97722	+	10.4421i	−0.238060	+	0.356281i	−0.931192	−	0.364529i	$-0.881230\pi$
$859$	−6.97722	+	10.4421i	−0.238060	+	0.356281i	0.693132	+	0.720810i	$0.256230\pi$
$860$	−46.4024	+	55.1294i	−1.58231	+	1.87990i
$861$	5.42405	+	6.99494i	0.184851	+	0.238387i
$862$	38.8756	−	28.4593i	1.32411	−	0.969326i
$863$			14.1265i			0.480870i	0.970665	+	0.240435i	$0.0772901\pi$
$863$			14.1265i			0.480870i	−0.970665	+	0.240435i	$0.922710\pi$
$864$	−27.5153	−	10.3398i	−0.936088	−	0.351766i
$865$			47.1725i			1.60391i
$866$	−14.1522	−	19.3321i	−0.480913	−	0.656931i
$867$	48.5569	+	62.6196i	1.64908	+	2.12667i
$868$	1.28374	+	14.9352i	0.0435730	+	0.506933i
$869$	−3.06561	+	4.58801i	−0.103994	+	0.155638i
$870$	3.20882	−	11.1885i	0.108789	−	0.379325i
$871$	25.4285	−	10.5328i	0.861613	−	0.356892i
$872$	4.11110	+	31.7879i	0.139219	+	1.07648i
$873$	−3.72970	−	0.958884i	−0.126231	−	0.0324533i
$874$	−0.278011	−	6.48075i	−0.00940386	−	0.219215i
$875$	−7.06176	+	1.40467i	−0.238731	+	0.0474865i
$876$	9.37308	+	0.375862i	0.316687	+	0.0126992i
$877$	20.8590	−	13.9375i	0.704357	−	0.470636i	−0.151094	−	0.988519i	$-0.548280\pi$
$877$	20.8590	−	13.9375i	0.704357	−	0.470636i	0.855451	+	0.517883i	$0.173280\pi$
$878$	−0.678887	−	0.412667i	−0.0229113	−	0.0139268i
$879$	−0.800284	−	11.3283i	−0.0269929	−	0.382094i
$880$	−6.00247	+	3.79834i	−0.202343	+	0.128042i
$881$	29.9430	+	29.9430i	1.00881	+	1.00881i	0.999961	+	0.00884550i	$0.00281565\pi$
$881$	29.9430	+	29.9430i	1.00881	+	1.00881i	0.00884550	+	0.999961i	$0.497184\pi$
$882$	19.8072	−	7.91758i	0.666942	−	0.266599i
$883$	3.36808	−	2.25048i	0.113345	−	0.0757346i	−0.497606	−	0.867403i	$-0.665787\pi$
$883$	3.36808	−	2.25048i	0.113345	−	0.0757346i	0.610951	+	0.791669i	$0.290787\pi$
$884$	−72.1361	−	39.7183i	−2.42620	−	1.33587i
$885$	−6.99234	+	12.2544i	−0.235045	+	0.411926i
$886$	−17.8616	−	16.3922i	−0.600074	−	0.550708i
$887$	5.72601	+	2.37179i	0.192261	+	0.0796370i	0.476737	−	0.879046i	$-0.341820\pi$
$887$	5.72601	+	2.37179i	0.192261	+	0.0796370i	−0.284476	+	0.958683i	$0.591820\pi$
$888$	15.4977	−	37.7122i	0.520067	−	1.26554i
$889$	6.40843	−	2.65446i	0.214932	−	0.0890277i
$890$	−3.20828	+	8.79383i	−0.107542	+	0.294770i
$891$	−1.68524	+	5.31697i	−0.0564578	+	0.178125i
$892$	−4.21555	−	1.33622i	−0.141147	−	0.0447400i
$893$	0.605625	−	3.04468i	0.0202665	−	0.101886i
$894$	−7.38777	+	6.25361i	−0.247084	+	0.209152i
$895$		−	64.4563i		−	2.15454i
$896$	12.3380	+	10.0109i	0.412185	+	0.334441i
$897$	7.11321	−	8.19462i	0.237503	−	0.273610i
$898$	−25.4479	−	3.93665i	−0.849208	−	0.131368i
$899$	8.68044	+	1.72665i	0.289509	+	0.0575869i
$900$	−19.0001	−	3.18137i	−0.633336	−	0.106046i
$901$	−31.1352	+	46.5971i	−1.03726	+	1.55237i
$902$	−2.99618	−	1.09311i	−0.0997620	−	0.0363965i
$903$	9.68392	−	29.0110i	0.322261	−	0.965427i
$904$	−16.9570	+	5.71296i	−0.563982	+	0.190010i
$905$	−6.21659	+	15.0082i	−0.206646	+	0.498889i
$906$	1.76241	+	15.4750i	0.0585522	+	0.514122i
$907$	−31.9372	+	6.35270i	−1.06046	+	0.210938i	−0.694352	−	0.719636i	$-0.744309\pi$
$907$	−31.9372	+	6.35270i	−1.06046	+	0.210938i	−0.366105	+	0.930574i	$0.619309\pi$
$908$	−16.1317	+	29.2982i	−0.535348	+	0.972295i
$909$	−32.6452	−	36.4709i	−1.08277	−	1.20966i
$910$	−7.00895	−	28.7380i	−0.232344	−	0.952655i
$911$	−30.9157	+	30.9157i	−1.02428	+	1.02428i	−0.0245834	+	0.999698i	$0.507826\pi$
$911$	−30.9157	+	30.9157i	−1.02428	+	1.02428i	−0.999698	+	0.0245834i	$0.992174\pi$
$912$	15.6331	+	21.2302i	0.517663	+	0.703003i
$913$	5.27279	+	5.27279i	0.174504	+	0.174504i
$914$	12.8323	−	21.1107i	0.424454	−	0.698279i
$915$	16.1583	+	2.04386i	0.534176	+	0.0675680i
$916$	−6.67569	−	8.34374i	−0.220571	−	0.275685i
$917$	−1.19306	−	5.99789i	−0.0393982	−	0.198068i
$918$	29.4747	−	50.1966i	0.972811	−	1.65673i
$919$	37.5707	+	15.5623i	1.23934	+	0.513353i	0.903510	−	0.428568i	$-0.140982\pi$
$919$	37.5707	+	15.5623i	1.23934	+	0.513353i	0.335835	+	0.941921i	$0.390982\pi$
$920$	1.25294	+	9.68804i	0.0413084	+	0.319405i
$921$	−3.14197	+	9.41270i	−0.103531	+	0.310159i
$922$	−13.5538	−	29.1242i	−0.446372	−	0.959153i
$923$	−22.7008	−	15.1682i	−0.747204	−	0.499266i
$924$	1.77411	−	2.43770i	0.0583639	−	0.0801946i
$925$	5.21320	−	26.2085i	0.171409	−	0.861731i
$926$	5.39370	−	3.94851i	0.177248	−	0.129756i
$927$	−5.94489	−	41.8660i	−0.195256	−	1.37506i
$928$	7.70478	−	5.35134i	0.252922	−	0.175666i
$929$	−46.2166			−1.51632			−0.758159	−	0.652070i	$-0.773901\pi$
$929$	−46.2166			−1.51632			−0.758159	+	0.652070i	$0.773901\pi$
$930$	3.10376	−	37.3312i	0.101776	−	1.22414i
$931$	−18.7654	−	3.73267i	−0.615010	−	0.122333i
$932$	3.52637	+	2.96814i	0.115510	+	0.0972247i
$933$	−20.7389	+	5.67000i	−0.678962	+	0.185627i
$934$	−13.8896	−	29.8456i	−0.454480	−	0.976578i
$935$	−5.38326	−	12.9963i	−0.176051	−	0.425025i
$936$	−5.41247	+	43.7712i	−0.176912	+	1.43071i
$937$	14.4204	−	34.8140i	0.471095	−	1.13732i	−0.492585	−	0.870265i	$-0.663948\pi$
$937$	14.4204	−	34.8140i	0.471095	−	1.13732i	0.963680	−	0.267060i	$-0.0860522\pi$
$938$	−0.450733	−	10.5071i	−0.0147170	−	0.343069i
$939$	2.69677	−	4.72620i	0.0880058	−	0.154234i
$940$	−0.516030	+	4.64643i	−0.0168310	+	0.151550i
$941$	3.43549	+	5.14157i	0.111994	+	0.167610i	0.883232	−	0.468936i	$-0.155362\pi$
$941$	3.43549	+	5.14157i	0.111994	+	0.167610i	−0.771239	+	0.636546i	$0.780362\pi$
$942$	45.1888	−	14.4627i	1.47233	−	0.471220i
$943$	−3.10145	+	3.10145i	−0.100997	+	0.100997i
$944$	−10.6105	+	4.08901i	−0.345341	+	0.133086i
$945$	20.4436	−	4.39124i	0.665031	−	0.142847i
$946$	2.61118	+	10.7063i	0.0848969	+	0.348093i
$947$	22.8368	+	34.1777i	0.742096	+	1.11062i	0.989893	+	0.141813i	$0.0452931\pi$
$947$	22.8368	+	34.1777i	0.742096	+	1.11062i	−0.247798	+	0.968812i	$0.579707\pi$
$948$	−27.9996	−	12.9355i	−0.909385	−	0.420124i
$949$	−2.74596	−	13.8049i	−0.0891376	−	0.448125i
$950$	12.7309	+	11.6836i	0.413044	+	0.379065i
$951$	−11.3989	−	22.8219i	−0.369636	−	0.740050i
$952$	−23.7040	+	20.6922i	−0.768251	+	0.670639i
$953$	−16.8800	−	40.7519i	−0.546796	−	1.32008i	−0.919849	−	0.392273i	$-0.871689\pi$
$953$	−16.8800	−	40.7519i	−0.546796	−	1.32008i	0.373052	−	0.927810i	$-0.378311\pi$
$954$	29.3636	+	6.22096i	0.950683	+	0.201411i
$955$	48.9885	+	32.7330i	1.58523	+	1.05922i
$956$	5.86110	+	11.3011i	0.189562	+	0.365503i
$957$	−1.09080	−	1.40671i	−0.0352604	−	0.0454723i
$958$	−27.6260	−	4.27359i	−0.892557	−	0.138074i
$959$	17.5091			0.565399
$960$	−26.1943	−	29.8383i	−0.845418	−	0.963027i
$961$	−2.51608			−0.0811638
$962$	−60.4586	−	9.35261i	−1.94926	−	0.301540i
$963$	0.540499	−	9.76493i	0.0174173	−	0.314671i
$964$	37.0901	−	19.2361i	1.19459	−	0.619554i
$965$	−34.1492	−	22.8178i	−1.09930	−	0.734531i
$966$	−2.00997	−	3.62649i	−0.0646698	−	0.116680i
$967$	−10.4689	−	25.2743i	−0.336659	−	0.812766i	−0.998032	−	0.0627089i	$-0.980026\pi$
$967$	−10.4689	−	25.2743i	−0.336659	−	0.812766i	0.661373	−	0.750057i	$-0.269974\pi$
$968$	2.03227	−	29.9575i	0.0653195	−	0.962871i
$969$	−46.7099	+	23.3304i	−1.50054	+	0.749480i
$970$	−3.83253	−	3.51724i	−0.123055	−	0.112932i
$971$	−7.93034	−	39.8685i	−0.254497	−	1.27944i	−0.870684	−	0.491842i	$-0.836324\pi$
$971$	−7.93034	−	39.8685i	−0.254497	−	1.27944i	0.616188	−	0.787599i	$-0.288676\pi$
$972$	−30.8237	−	4.67961i	−0.988671	−	0.150099i
$973$	−15.8998	−	23.7957i	−0.509723	−	0.762855i
$974$	−9.46909	−	38.8250i	−0.303409	−	1.24403i
$975$	2.03697	+	28.8340i	0.0652352	+	0.923428i
$976$	9.04822	+	9.50972i	0.289627	+	0.304399i
$977$	24.9188	−	24.9188i	0.797223	−	0.797223i	−0.185434	−	0.982657i	$-0.559369\pi$
$977$	24.9188	−	24.9188i	0.797223	−	0.797223i	0.982657	+	0.185434i	$0.0593689\pi$
$978$	7.73760	+	24.1762i	0.247421	+	0.773069i
$979$	0.795343	+	1.19031i	0.0254193	+	0.0380426i
$980$	28.6375	+	3.18046i	0.914791	+	0.101596i
$981$	11.2543	+	32.0801i	0.359323	+	1.02424i
$982$	2.21008	+	51.5195i	0.0705265	+	1.64405i
$983$	14.4117	−	34.7930i	0.459663	−	1.10972i	−0.508871	−	0.860843i	$-0.669937\pi$
$983$	14.4117	−	34.7930i	0.459663	−	1.10972i	0.968534	−	0.248882i	$-0.0800630\pi$
$984$	3.42908	−	17.4943i	0.109315	−	0.557699i
$985$	9.33917	+	22.5467i	0.297571	+	0.718399i
$986$	7.83836	+	16.8429i	0.249624	+	0.536387i
$987$	−0.523290	−	1.91402i	−0.0166565	−	0.0609239i
$988$	25.4748	−	30.2659i	0.810460	−	0.962887i
$989$	14.8641	+	2.95666i	0.472651	+	0.0940162i
$990$	−5.39326	+	5.26089i	−0.171409	+	0.167202i
$991$	−4.74727			−0.150802			−0.0754010	−	0.997153i	$-0.524024\pi$
$991$	−4.74727			−0.150802			−0.0754010	+	0.997153i	$0.524024\pi$
$992$	20.9602	−	21.7291i	0.665488	−	0.689900i
$993$	−36.4067	+	41.9416i	−1.15533	+	1.33098i
$994$	−8.41757	+	6.16217i	−0.266989	+	0.195452i
$995$	9.88011	−	49.6707i	0.313221	−	1.57467i
$996$	−24.5267	+	33.7007i	−0.777157	+	1.06785i
$997$	41.4356	+	27.6864i	1.31228	+	0.876836i	0.997384	−	0.0722903i	$-0.0230308\pi$
$997$	41.4356	+	27.6864i	1.31228	+	0.876836i	0.314895	+	0.949127i	$0.398031\pi$
$998$	−14.4495	−	31.0489i	−0.457392	−	0.982835i
$999$	7.78976	−	42.5383i	0.246457	−	1.34585i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.35.15	yes	240
3.2	odd	2	inner	192.2.s.a.35.16	yes	240
4.3	odd	2		768.2.s.a.47.24		240
12.11	even	2		768.2.s.a.47.10		240
64.11	odd	16	inner	192.2.s.a.11.16	yes	240
64.53	even	16		768.2.s.a.719.10		240
192.11	even	16	inner	192.2.s.a.11.15	✓	240
192.53	odd	16		768.2.s.a.719.24		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.15	✓	240	192.11	even	16	inner
192.2.s.a.11.16	yes	240	64.11	odd	16	inner
192.2.s.a.35.15	yes	240	1.1	even	1	trivial
192.2.s.a.35.16	yes	240	3.2	odd	2	inner
768.2.s.a.47.10		240	12.11	even	2
768.2.s.a.47.24		240	4.3	odd	2
768.2.s.a.719.10		240	64.53	even	16
768.2.s.a.719.24		240	192.53	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +O(q^{10})\)	\(q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +(2.74000 - 2.98562i) q^{10} +(-0.120905 - 0.607832i) q^{11} +(3.25096 - 1.19636i) q^{12} +(-2.88773 - 4.32179i) q^{13} +(-1.92951 + 0.470591i) q^{14} +(4.95075 - 0.349744i) q^{15} +(3.26960 + 2.30428i) q^{16} +(-5.60131 + 5.60131i) q^{17} +(3.89922 + 1.67216i) q^{18} +(-2.11420 - 3.16413i) q^{19} +(3.58028 + 4.47489i) q^{20} +(-2.11269 - 1.20550i) q^{21} +(0.875639 - 0.0375631i) q^{22} +(0.461255 - 1.11357i) q^{23} +(0.969160 + 4.80216i) q^{24} +(1.22871 + 2.96636i) q^{25} +(6.66442 - 3.10149i) q^{26} +(2.06138 + 4.76977i) q^{27} +(-0.240534 - 2.79840i) q^{28} +(-1.62645 - 0.323522i) q^{29} +(-0.581551 + 6.99474i) q^{30} -5.33703 q^{31} +(-3.92732 + 4.07138i) q^{32} +(0.810624 + 0.703648i) q^{33} +(-6.61733 - 9.03933i) q^{34} +(0.785066 - 3.94679i) q^{35} +(-3.18000 + 5.08799i) q^{36} +(-6.92002 - 4.62381i) q^{37} +(4.87925 - 2.27071i) q^{38} +(8.53962 + 2.85054i) q^{39} +(-7.02811 + 4.03630i) q^{40} +(-3.36197 - 1.39257i) q^{41} +(2.14156 - 2.69205i) q^{42} +(2.45301 + 12.3321i) q^{43} +(-0.136815 + 1.23191i) q^{44} +(-6.40517 + 5.73329i) q^{45} +(1.45659 + 0.885398i) q^{46} +(0.576826 + 0.576826i) q^{47} +(-6.92098 + 0.316264i) q^{48} +(3.55517 - 3.55517i) q^{49} +(-4.41140 + 1.07590i) q^{50} +(1.72177 - 13.6119i) q^{51} +(2.89377 + 9.98467i) q^{52} +(6.93876 - 1.38020i) q^{53} +(-7.11185 + 1.84974i) q^{54} +(-0.679580 + 1.64065i) q^{55} +(3.96302 + 0.268845i) q^{56} +(6.25214 + 2.08697i) q^{57} +(0.803789 - 2.20317i) q^{58} +(-1.57936 + 2.36368i) q^{59} +(-9.65005 - 2.32503i) q^{60} +(3.21857 + 0.640213i) q^{61} +(1.15386 - 7.45898i) q^{62} +(4.17124 - 0.592308i) q^{63} +(-4.84104 - 6.36901i) q^{64} +14.8939i q^{65} +(-1.15867 + 0.980791i) q^{66} +(-1.03306 + 5.19352i) q^{67} +(14.0639 - 7.29402i) q^{68} +(0.550561 + 2.01377i) q^{69} +(5.34627 + 1.95050i) q^{70} +(4.85279 - 2.01009i) q^{71} +(-6.42341 - 5.54435i) q^{72} +(2.50182 + 1.03629i) q^{73} +(7.95829 - 8.67168i) q^{74} +(-4.83020 - 2.75611i) q^{75} +(2.11863 + 7.31011i) q^{76} +(0.723660 - 0.483534i) q^{77} +(-5.83014 + 11.3186i) q^{78} +(-6.29584 - 6.29584i) q^{79} +(-4.12162 - 10.6951i) q^{80} +(-7.88401 - 4.34078i) q^{81} +(2.67310 - 4.39758i) q^{82} +(-10.0044 + 6.68475i) q^{83} +(3.29937 + 3.57504i) q^{84} +(22.2623 - 4.42825i) q^{85} +(-17.7656 + 0.762107i) q^{86} +(2.56960 - 1.28345i) q^{87} +(-1.69212 - 0.457548i) q^{88} +(-2.13413 + 0.883987i) q^{89} +(-6.62800 - 10.1913i) q^{90} +(4.05542 - 6.06936i) q^{91} +(-1.55234 + 1.84429i) q^{92} +(7.30510 - 5.66456i) q^{93} +(-0.930876 + 0.681457i) q^{94} +10.9043i q^{95} +(1.05430 - 9.74107i) q^{96} -1.28366i q^{97} +(4.20004 + 5.73730i) q^{98} +(-1.85638 - 0.102752i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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