LMFDB - Embedded newform 192.2.s.a.35.16

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			35.16
Character	$\chi$	$=$	192.35
Dual form			192.2.s.a.11.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.216199 - 1.39759i) q^{2} +(0.858398 + 1.50438i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(2.38253 + 1.59195i) q^{5} +(2.28809 - 0.874443i) q^{6} +(0.537426 + 1.29746i) q^{7} +(-1.25677 + 2.53387i) q^{8} +(-1.52631 + 2.58271i) q^{9} +O(q^{10})$	\(q+(0.216199 - 1.39759i) q^{2} +(0.858398 + 1.50438i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(2.38253 + 1.59195i) q^{5} +(2.28809 - 0.874443i) q^{6} +(0.537426 + 1.29746i) q^{7} +(-1.25677 + 2.53387i) q^{8} +(-1.52631 + 2.58271i) q^{9} +(2.74000 - 2.98562i) q^{10} +(0.120905 + 0.607832i) q^{11} +(-0.727429 - 3.38686i) q^{12} +(-2.88773 - 4.32179i) q^{13} +(1.92951 - 0.470591i) q^{14} +(-0.349744 + 4.95075i) q^{15} +(3.26960 + 2.30428i) q^{16} +(5.60131 - 5.60131i) q^{17} +(3.27958 + 2.69153i) q^{18} +(-2.11420 - 3.16413i) q^{19} +(-3.58028 - 4.47489i) q^{20} +(-1.49055 + 1.92223i) q^{21} +(0.875639 - 0.0375631i) q^{22} +(-0.461255 + 1.11357i) q^{23} +(-4.89072 + 0.284410i) q^{24} +(1.22871 + 2.96636i) q^{25} +(-6.66442 + 3.10149i) q^{26} +(-5.19555 - 0.0791493i) q^{27} +(-0.240534 - 2.79840i) q^{28} +(1.62645 + 0.323522i) q^{29} +(6.84351 + 1.55915i) 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} +(4.47070 - 4.00160i) q^{36} +(-6.92002 - 4.62381i) q^{37} +(-4.87925 + 2.27071i) q^{38} +(4.02279 - 8.05406i) q^{39} +(-7.02811 + 4.03630i) q^{40} +(3.36197 + 1.39257i) q^{41} +(2.36423 + 2.49876i) q^{42} +(2.45301 + 12.3321i) q^{43} +(0.136815 - 1.23191i) q^{44} +(-7.74802 + 3.72357i) q^{45} +(1.45659 + 0.885398i) q^{46} +(-0.576826 - 0.576826i) q^{47} +(-0.659882 + 6.89671i) q^{48} +(3.55517 - 3.55517i) q^{49} +(4.41140 - 1.07590i) q^{50} +(13.2346 + 3.61833i) q^{51} +(2.89377 + 9.98467i) q^{52} +(-6.93876 + 1.38020i) q^{53} +(-1.23389 + 7.24414i) q^{54} +(-0.679580 + 1.64065i) q^{55} +(-3.96302 - 0.268845i) q^{56} +(2.94522 - 5.89664i) q^{57} +(0.803789 - 2.20317i) q^{58} +(1.57936 - 2.36368i) q^{59} +(3.65861 - 9.22733i) 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} +(0.808156 + 1.28505i) q^{66} +(-1.03306 + 5.19352i) q^{67} +(-14.0639 + 7.29402i) q^{68} +(-2.07117 + 0.261982i) q^{69} +(5.34627 + 1.95050i) q^{70} +(-4.85279 + 2.01009i) q^{71} +(-4.62604 - 7.11335i) q^{72} +(2.50182 + 1.03629i) q^{73} +(-7.95829 + 8.67168i) q^{74} +(-3.40780 + 4.39475i) q^{75} +(2.11863 + 7.31011i) q^{76} +(-0.723660 + 0.483534i) q^{77} +(-10.3865 - 7.36349i) q^{78} +(-6.29584 - 6.29584i) q^{79} +(4.12162 + 10.6951i) q^{80} +(-4.34078 - 7.88401i) q^{81} +(2.67310 - 4.39758i) q^{82} +(10.0044 - 6.68475i) q^{83} +(4.00338 - 2.76400i) q^{84} +(22.2623 - 4.42825i) q^{85} +(17.7656 - 0.762107i) q^{86} +(0.909445 + 2.72451i) q^{87} +(-1.69212 - 0.457548i) q^{88} +(2.13413 - 0.883987i) q^{89} +(3.52890 + 11.6336i) q^{90} +(4.05542 - 6.06936i) q^{91} +(1.55234 - 1.84429i) q^{92} +(-4.58130 - 8.02891i) q^{93} +(-0.930876 + 0.681457i) q^{94} -10.9043i q^{95} +(9.49610 + 2.41331i) q^{96} -1.28366i q^{97} +(-4.20004 - 5.73730i) q^{98} +(-1.75439 - 0.615474i) 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
$3$	0.858398	+	1.50438i	0.495596	+	0.868553i
$3$	0.858398	+	1.50438i	0.495596	+	0.868553i
$4$	−1.90652	−	0.604316i	−0.953258	−	0.302158i
$5$	2.38253	+	1.59195i	1.06550	+	0.711944i	0.959297	−	0.282401i	$-0.0911308\pi$
$5$	2.38253	+	1.59195i	1.06550	+	0.711944i	0.106203	+	0.994345i	$0.466131\pi$
$6$	2.28809	−	0.874443i	0.934108	−	0.356990i
$7$	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
$9$	−1.52631	+	2.58271i	−0.508769	+	0.860903i
$10$	2.74000	−	2.98562i	0.866464	−	0.944135i
$11$	0.120905	+	0.607832i	0.0364543	+	0.183268i	0.994722	−	0.102603i	$-0.0327171\pi$
$11$	0.120905	+	0.607832i	0.0364543	+	0.183268i	−0.958268	+	0.285871i	$0.907717\pi$
$12$	−0.727429	−	3.38686i	−0.209991	−	0.977703i
$13$	−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
$15$	−0.349744	+	4.95075i	−0.0903036	+	1.27828i
$16$	3.26960	+	2.30428i	0.817401	+	0.576069i
$17$	5.60131	−	5.60131i	1.35852	−	1.35852i	0.482768	−	0.875748i	$-0.339631\pi$
$17$	5.60131	−	5.60131i	1.35852	−	1.35852i	0.875748	−	0.482768i	$-0.160369\pi$
$18$	3.27958	+	2.69153i	0.773005	+	0.634400i
$19$	−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
$21$	−1.49055	+	1.92223i	−0.325264	+	0.419465i
$22$	0.875639	−	0.0375631i	0.186687	−	0.00800849i
$23$	−0.461255	+	1.11357i	−0.0961783	+	0.232195i	−0.964645	−	0.263552i	$-0.915106\pi$
$23$	−0.461255	+	1.11357i	−0.0961783	+	0.232195i	0.868467	+	0.495747i	$0.165106\pi$
$24$	−4.89072	+	0.284410i	−0.998313	+	0.0580549i
$25$	1.22871	+	2.96636i	0.245741	+	0.593271i
$26$	−6.66442	+	3.10149i	−1.30700	+	0.608253i
$27$	−5.19555	−	0.0791493i	−0.999884	−	0.0152323i
$28$	−0.240534	−	2.79840i	−0.0454567	−	0.528849i
$29$	1.62645	+	0.323522i	0.302025	+	0.0600765i	0.343776	−	0.939052i	$-0.388294\pi$
$29$	1.62645	+	0.323522i	0.302025	+	0.0600765i	−0.0417515	+	0.999128i	$0.513294\pi$
$30$	6.84351	+	1.55915i	1.24945	+	0.284660i
$31$	−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
$36$	4.47070	−	4.00160i	0.745117	−	0.666934i
$37$	−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
$39$	4.02279	−	8.05406i	0.644162	−	1.28968i
$40$	−7.02811	+	4.03630i	−1.11124	+	0.638195i
$41$	3.36197	+	1.39257i	0.525052	+	0.217484i	0.629434	−	0.777054i	$-0.283287\pi$
$41$	3.36197	+	1.39257i	0.525052	+	0.217484i	−0.104383	+	0.994537i	$0.533287\pi$
$42$	2.36423	+	2.49876i	0.364809	+	0.385567i
$43$	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
$45$	−7.74802	+	3.72357i	−1.15501	+	0.555077i
$46$	1.45659	+	0.885398i	0.214762	+	0.130545i
$47$	−0.576826	−	0.576826i	−0.0841387	−	0.0841387i	0.663785	−	0.747924i	$-0.268949\pi$
$47$	−0.576826	−	0.576826i	−0.0841387	−	0.0841387i	−0.747924	+	0.663785i	$0.768949\pi$
$48$	−0.659882	+	6.89671i	−0.0952457	+	0.995454i
$49$	3.55517	−	3.55517i	0.507881	−	0.507881i
$50$	4.41140	−	1.07590i	0.623866	−	0.152155i
$51$	13.2346	+	3.61833i	1.85322	+	0.506668i
$52$	2.89377	+	9.98467i	0.401294	+	1.38462i
$53$	−6.93876	+	1.38020i	−0.953112	+	0.189586i	−0.647068	−	0.762432i	$-0.724005\pi$
$53$	−6.93876	+	1.38020i	−0.953112	+	0.189586i	−0.306043	+	0.952018i	$0.599005\pi$
$54$	−1.23389	+	7.24414i	−0.167912	+	0.985802i
$55$	−0.679580	+	1.64065i	−0.0916346	+	0.221225i
$56$	−3.96302	−	0.268845i	−0.529581	−	0.0359259i
$57$	2.94522	−	5.89664i	0.390104	−	0.781030i
$58$	0.803789	−	2.20317i	0.105543	−	0.289290i
$59$	1.57936	−	2.36368i	0.205615	−	0.307725i	−0.714302	−	0.699838i	$-0.753256\pi$
$59$	1.57936	−	2.36368i	0.205615	−	0.307725i	0.919917	+	0.392113i	$0.128256\pi$
$60$	3.65861	−	9.22733i	0.472325	−	1.19124i
$61$	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
$66$	0.808156	+	1.28505i	0.0994771	+	0.158178i
$67$	−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
$69$	−2.07117	+	0.261982i	−0.249339	+	0.0315390i
$70$	5.34627	+	1.95050i	0.639001	+	0.233129i
$71$	−4.85279	+	2.01009i	−0.575920	+	0.238554i	−0.651580	−	0.758580i	$-0.725894\pi$
$71$	−4.85279	+	2.01009i	−0.575920	+	0.238554i	0.0756601	+	0.997134i	$0.475894\pi$
$72$	−4.62604	−	7.11335i	−0.545184	−	0.838316i
$73$	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
$75$	−3.40780	+	4.39475i	−0.393499	+	0.507462i
$76$	2.11863	+	7.31011i	0.243023	+	0.838527i
$77$	−0.723660	+	0.483534i	−0.0824687	+	0.0551038i
$78$	−10.3865	−	7.36349i	−1.17604	−	0.833751i
$79$	−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
$81$	−4.34078	−	7.88401i	−0.482309	−	0.876001i
$82$	2.67310	−	4.39758i	0.295195	−	0.485632i
$83$	10.0044	−	6.68475i	1.09813	−	0.733747i	0.131857	−	0.991269i	$-0.457906\pi$
$83$	10.0044	−	6.68475i	1.09813	−	0.733747i	0.966272	+	0.257522i	$0.0829059\pi$
$84$	4.00338	−	2.76400i	0.436805	−	0.301577i
$85$	22.2623	−	4.42825i	2.41469	−	0.480311i
$86$	17.7656	−	0.762107i	1.91571	−	0.0821801i
$87$	0.909445	+	2.72451i	0.0975028	+	0.292098i
$88$	−1.69212	−	0.457548i	−0.180381	−	0.0487748i
$89$	2.13413	−	0.883987i	0.226218	−	0.0937024i	−0.266696	−	0.963781i	$-0.585932\pi$
$89$	2.13413	−	0.883987i	0.226218	−	0.0937024i	0.492913	+	0.870078i	$0.335932\pi$
$90$	3.52890	+	11.6336i	0.371979	+	1.22629i
$91$	4.05542	−	6.06936i	0.425123	−	0.636242i
$92$	1.55234	−	1.84429i	0.161842	−	0.192281i
$93$	−4.58130	−	8.02891i	−0.475058	−	0.832560i
$94$	−0.930876	+	0.681457i	−0.0960125	+	0.0702869i
$95$		−	10.9043i		−	1.11876i
$96$	9.49610	+	2.41331i	0.969192	+	0.246307i
$97$		−	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
$99$	−1.75439	−	0.615474i	−0.176323	−	0.0618575i
$100$	−0.549929	−	6.39793i	−0.0549929	−	0.639793i
$101$	−9.06455	+	13.5661i	−0.901956	+	1.34987i	0.0346173	+	0.999401i	$0.488979\pi$
$101$	−9.06455	+	13.5661i	−0.901956	+	1.34987i	−0.936573	+	0.350472i	$0.886021\pi$
$102$	7.91826	−	17.7143i	0.784025	−	1.75398i
$103$	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
$105$	−6.61137	+	2.20688i	−0.645204	+	0.215370i
$106$	0.428805	+	9.99594i	0.0416493	+	0.970891i
$107$	−3.19732	+	0.635987i	−0.309097	+	0.0614831i	−0.347201	−	0.937791i	$-0.612868\pi$
$107$	−3.19732	+	0.635987i	−0.309097	+	0.0614831i	0.0381047	+	0.999274i	$0.487868\pi$
$108$	9.85757	+	3.29065i	0.948545	+	0.316643i
$109$	−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
$111$	1.01583	−	14.3794i	0.0964180	−	1.36483i
$112$	−1.23254	+	5.48056i	−0.116464	+	0.517864i
$113$	4.47338	+	4.47338i	0.420820	+	0.420820i	0.885486	−	0.464666i	$-0.153825\pi$
$113$	4.47338	+	4.47338i	0.420820	+	0.420820i	−0.464666	+	0.885486i	$0.653825\pi$
$114$	−7.60434	−	5.39106i	−0.712211	−	0.504919i
$115$	−2.87170	+	1.91881i	−0.267788	+	0.178930i
$116$	−2.90535	−	1.59969i	−0.269755	−	0.148528i
$117$	15.5695	−	0.861788i	1.43940	−	0.0796723i
$118$	−2.96200	−	2.71832i	−0.272674	−	0.250242i
$119$	10.2778	+	4.25719i	0.942161	+	0.390256i
$120$	−12.1050	−	7.10818i	−1.10503	−	0.648886i
$121$	9.80783	−	4.06254i	0.891621	−	0.369322i
$122$	1.59061	−	4.35983i	0.144007	−	0.394720i
$123$	0.790951	+	6.25306i	0.0713177	+	0.563819i
$124$	10.1751	+	3.22526i	0.913754	+	0.289636i
$125$	1.00022	−	5.02845i	0.0894624	−	0.449758i
$126$	−1.72962	+	5.70163i	−0.154087	+	0.507941i
$127$		−	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	0.378103	−	0.925763i	$-0.376576\pi$
$131$	4.27091	+	0.849536i	0.373151	+	0.0742243i	−0.00495247	+	0.999988i	$0.501576\pi$
$132$	1.97069	−	0.851644i	0.171527	−	0.0741261i
$133$	2.96911	−	4.44358i	0.257454	−	0.385307i
$134$	7.03507	+	2.56663i	0.607737	+	0.221723i
$135$	−12.2525	−	8.45965i	−1.05453	−	0.728091i
$136$	7.15343	+	21.2326i	0.613402	+	1.82068i
$137$	−4.77118	+	11.5186i	−0.407629	+	0.984104i	0.578131	+	0.815944i	$0.303782\pi$
$137$	−4.77118	+	11.5186i	−0.407629	+	0.984104i	−0.985760	+	0.168160i	$0.946218\pi$
$138$	−0.0816409	+	2.95128i	−0.00694973	+	0.251230i
$139$	−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
$141$	0.372618	−	1.36291i	0.0313801	−	0.114778i
$142$	1.76011	+	7.21679i	0.147705	+	0.605620i
$143$	2.27778	−	2.27778i	0.190478	−	0.190478i
$144$	−10.9417	+	4.92741i	−0.911808	+	0.410617i
$145$	3.36004	+	3.36004i	0.279036	+	0.279036i
$146$	1.98920	−	3.27247i	0.164627	−	0.270832i
$147$	8.40007	+	2.29657i	0.692826	+	0.189418i
$148$	10.3989	+	12.9972i	0.854782	+	1.06837i
$149$	0.770902	+	3.87559i	0.0631547	+	0.317500i	0.999430	−	0.0337676i	$-0.0107506\pi$
$149$	0.770902	+	3.87559i	0.0631547	+	0.317500i	−0.936275	+	0.351268i	$0.885751\pi$
$150$	5.40530	+	5.71286i	0.441341	+	0.466453i
$151$	−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
$153$	5.91724	+	23.0159i	0.478380	+	1.86072i
$154$	0.519328	+	1.11592i	0.0418486	+	0.0899234i
$155$	−12.7156	−	8.49631i	−1.02134	−	0.682440i
$156$	−12.5367	+	12.9241i	−1.00374	+	1.03476i
$157$	−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
$162$	−11.9571	+	4.36211i	−0.939438	+	0.342720i
$163$	−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
$165$	−3.05151	+	0.385986i	−0.237560	+	0.0300490i
$166$	−7.17959	−	15.4273i	−0.557244	−	1.19739i
$167$	1.92893	+	4.65685i	0.149265	+	0.360358i	0.980772	−	0.195157i	$-0.0625215\pi$
$167$	1.92893	+	4.65685i	0.149265	+	0.360358i	−0.831507	+	0.555514i	$0.812521\pi$
$168$	−2.99741	−	6.19266i	−0.231255	−	0.477774i
$169$	−5.36403	+	12.9499i	−0.412618	+	0.996148i
$170$	−1.37578	−	32.0709i	−0.105517	−	2.45973i
$171$	11.3990	−	0.630944i	0.871700	−	0.0482495i
$172$	2.77579	−	24.9938i	0.211652	−	1.90576i
$173$	9.14610	+	13.6881i	0.695365	+	1.04069i	0.996207	+	0.0870133i	$0.0277323\pi$
$173$	9.14610	+	13.6881i	0.695365	+	1.04069i	−0.300842	+	0.953674i	$0.597268\pi$
$174$	4.00437	−	0.681994i	0.303571	−	0.0517018i
$175$	−3.18839	+	3.18839i	−0.241020	+	0.241020i
$176$	−1.00530	+	2.26597i	−0.0757773	+	0.170804i
$177$	4.91159	+	0.346977i	0.369178	+	0.0260804i
$178$	−0.774053	−	3.17376i	−0.0580177	−	0.237883i
$179$	−12.4972	−	18.7034i	−0.934085	−	1.39796i	−0.917343	−	0.398097i	$-0.869671\pi$
$179$	−12.4972	−	18.7034i	−0.934085	−	1.39796i	−0.0167412	−	0.999860i	$-0.505329\pi$
$180$	17.0219	−	2.41679i	1.26874	−	0.180137i
$181$	−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
$183$	1.79969	+	5.39150i	0.133037	+	0.398551i
$184$	−2.24195	−	2.56826i	−0.165279	−	0.189335i
$185$	−9.12624	−	22.0327i	−0.670975	−	1.61988i
$186$	−12.2116	+	4.66693i	−0.895398	+	0.342196i
$187$	4.08188	+	2.72742i	0.298496	+	0.199449i
$188$	0.751142	+	1.44831i	0.0547827	+	0.105629i
$189$	−2.68953	−	6.78356i	−0.195634	−	0.493431i
$190$	−15.2398	−	2.35751i	−1.10561	−	0.171032i
$191$	20.5615			1.48778			0.743890	−	0.668302i	$-0.232978\pi$
$191$	20.5615			1.48778			0.743890	+	0.668302i	$0.232978\pi$
$192$	5.42587	−	12.7499i	0.391578	−	0.920145i
$193$	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
$195$	22.4061	−	12.7849i	1.60453	−	0.915547i
$196$	−8.92643	+	4.62954i	−0.637602	+	0.330681i
$197$	7.08147	+	4.73168i	0.504534	+	0.337119i	0.781649	−	0.623718i	$-0.214379\pi$
$197$	7.08147	+	4.73168i	0.504534	+	0.337119i	−0.277116	+	0.960836i	$0.589379\pi$
$198$	−1.23948	+	2.31885i	−0.0880859	+	0.164794i
$199$	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
$201$	−8.69979	+	2.90400i	−0.613636	+	0.204833i
$202$	17.0000	+	15.6015i	1.19612	+	1.09772i
$203$	0.454341	+	2.28413i	0.0318885	+	0.160314i
$204$	−23.0454	−	14.8963i	−1.61350	−	1.04295i
$205$	5.79308	+	8.66995i	0.404606	+	0.605536i
$206$	−4.72324	−	19.3662i	−0.329084	−	1.34930i
$207$	−2.17201	−	2.89093i	−0.150965	−	0.200934i
$208$	0.516872	−	20.7847i	0.0358387	−	1.44116i
$209$	1.66764	−	1.66764i	0.115353	−	0.115353i
$210$	1.65494	+	9.71711i	0.114202	+	0.670544i
$211$	−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
$213$	−7.18956	−	5.57497i	−0.492621	−	0.381991i
$214$	0.197590	+	4.60604i	0.0135070	+	0.314863i
$215$	−13.7878	+	33.2867i	−0.940320	+	2.27013i
$216$	6.73018	−	13.0654i	0.457931	−	0.888988i
$217$	−2.86826	−	6.92459i	−0.194710	−	0.470072i
$218$	6.76196	+	14.5299i	0.457978	+	0.984092i
$219$	0.588588	+	4.65323i	0.0397731	+	0.314436i
$220$	2.28710	−	2.71725i	0.154196	−	0.183197i
$221$	−40.3828	−	8.03263i	−2.71644	−	0.540333i
$222$	−19.8769	−	4.52852i	−1.33405	−	0.303935i
$223$	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	$0.249769\pi$
$227$	−3.26247	+	16.4015i	−0.216538	+	1.08861i	−0.924157	+	0.382014i	$0.875231\pi$
$228$	−9.17854	+	9.46220i	−0.607864	+	0.626650i
$229$	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
$231$	−1.34861	−	0.673593i	−0.0887318	−	0.0443192i
$232$	−2.86385	+	3.71464i	−0.188021	+	0.243878i
$233$	2.12919	+	0.881941i	0.139488	+	0.0577779i	0.451336	−	0.892354i	$-0.350948\pi$
$233$	2.12919	+	0.881941i	0.139488	+	0.0577779i	−0.311847	+	0.950132i	$0.600948\pi$
$234$	2.16169	−	21.9461i	0.141314	−	1.43466i
$235$	−0.456023	−	2.29258i	−0.0297477	−	0.149552i
$236$	−4.43949	+	3.55196i	−0.288986	+	0.231213i
$237$	4.06699	−	14.8757i	0.264179	−	0.966278i
$238$	8.17185	−	13.4437i	0.529702	−	0.871425i
$239$	4.50092	+	4.50092i	0.291141	+	0.291141i	0.837531	−	0.546390i	$-0.183998\pi$
$239$	4.50092	+	4.50092i	0.291141	+	0.291141i	−0.546390	+	0.837531i	$0.683998\pi$
$240$	−12.5514	+	15.3811i	−0.810191	+	0.992846i
$241$	−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
$243$	8.13442	−	13.2978i	0.521823	−	0.853054i
$244$	−5.74936	−	3.16561i	−0.368065	−	0.202657i
$245$	14.1300	−	2.81062i	0.902730	−	0.179564i
$246$	8.91022	+	0.246482i	0.568095	+	0.0157151i
$247$	−7.56947	+	18.2743i	−0.481634	+	1.16277i
$248$	6.70744	−	13.5234i	0.425923	−	0.858735i
$249$	18.6442	+	9.31228i	1.18153	+	0.590142i
$250$	−6.81146	−	2.48504i	−0.430795	−	0.157168i
$251$	−9.31594	+	13.9423i	−0.588017	+	0.880029i	−0.999507	−	0.0313846i	$-0.990008\pi$
$251$	−9.31594	+	13.9423i	−0.588017	+	0.880029i	0.411490	+	0.911414i	$0.365008\pi$
$252$	7.59459	+	3.64999i	0.478414	+	0.229928i
$253$	−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	$0.108874\pi$
$257$			10.7540i			0.670815i	−0.942073	+	0.335408i	$0.891126\pi$
$258$	16.3964	+	26.0720i	1.02080	+	1.62317i
$259$	2.28021	−	11.4634i	0.141685	−	0.712301i
$260$	−9.00064	+	28.3955i	−0.558196	+	1.76102i
$261$	−3.31803	+	3.70686i	−0.205381	+	0.229449i
$262$	2.11067	−	5.78531i	0.130398	−	0.357417i
$263$	22.8844	−	9.47903i	1.41111	−	0.584502i	0.458502	−	0.888693i	$-0.348386\pi$
$263$	22.8844	−	9.47903i	1.41111	−	0.584502i	0.952611	+	0.304191i	$0.0983861\pi$
$264$	−0.764186	−	2.93835i	−0.0470324	−	0.180843i
$265$	−18.7290	−	7.75781i	−1.15051	−	0.476558i
$266$	−5.56839	−	5.11029i	−0.341420	−	0.313332i
$267$	3.16179	+	2.45173i	0.193498	+	0.150043i
$268$	5.10807	−	9.27724i	0.312025	−	0.566698i
$269$	−10.9427	+	7.31170i	−0.667190	+	0.445802i	−0.842489	−	0.538713i	$-0.818911\pi$
$269$	−10.9427	+	7.31170i	−0.667190	+	0.445802i	0.175299	+	0.984515i	$0.443911\pi$
$270$	−14.4721	+	15.2951i	−0.880745	+	0.930828i
$271$	−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
$273$	12.6118	+	0.890954i	0.763299	+	0.0539230i
$274$	15.0668	+	9.15847i	0.910219	+	0.553283i
$275$	−1.65449	+	1.10549i	−0.0997694	+	0.0666638i
$276$	4.10703	+	0.752166i	0.247214	+	0.0452751i
$277$	−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
$279$	8.14595	−	13.7840i	0.487685	−	0.825227i
$280$	−9.01403	−	6.94949i	−0.538691	−	0.415311i
$281$	−2.85654	+	1.18322i	−0.170407	+	0.0705848i	−0.466256	−	0.884650i	$-0.654397\pi$
$281$	−2.85654	+	1.18322i	−0.170407	+	0.0705848i	0.295849	+	0.955235i	$0.404397\pi$
$282$	−1.82423	−	0.815428i	−0.108631	−	0.0485580i
$283$	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
$285$	16.4043	−	9.36027i	0.971705	−	0.554454i
$286$	−2.69095	−	3.67586i	−0.159119	−	0.217358i
$287$			5.11043i			0.301659i
$288$	4.52091	+	16.3573i	0.266397	+	0.963863i
$289$		−	45.7493i		−	2.69113i
$290$	5.42240	−	3.96952i	0.318414	−	0.233098i
$291$	1.93112	−	1.10189i	0.113204	−	0.0645942i
$292$	−4.14351	−	3.48759i	−0.242481	−	0.204096i
$293$	3.64271	−	5.45170i	0.212809	−	0.318492i	−0.709673	−	0.704531i	$-0.751157\pi$
$293$	3.64271	−	5.45170i	0.212809	−	0.318492i	0.922482	+	0.386040i	$0.126157\pi$
$294$	5.02575	−	11.2433i	0.293108	−	0.655725i
$295$	7.52574	−	3.11726i	0.438166	−	0.181494i
$296$	20.4130	−	11.7234i	1.18648	−	0.681407i
$297$	−0.580060	−	3.16759i	−0.0336585	−	0.183802i
$298$	5.58315	−	0.239506i	0.323423	−	0.0138742i
$299$	6.14459	−	1.22224i	0.355351	−	0.0706837i
$300$	9.15285	−	6.31927i	0.528440	−	0.364843i
$301$	−14.6821	+	9.81028i	−0.846264	+	0.565455i
$302$	−4.67079	+	7.68402i	−0.268774	+	0.442166i
$303$	−28.1895	−	1.99143i	−1.61944	−	0.114405i
$304$	0.378420	−	15.2172i	0.0217039	−	0.872764i
$305$	6.64915	+	6.64915i	0.380729	+	0.380729i
$306$	33.4460	−	3.29386i	1.91198	−	0.188297i
$307$	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
$309$	19.2931	+	14.9604i	1.09755	+	0.851065i
$310$	−14.6235	+	15.9343i	−0.830558	+	0.905010i
$311$	−11.4682	−	4.75027i	−0.650300	−	0.269363i	0.0330501	−	0.999454i	$-0.489478\pi$
$311$	−11.4682	−	4.75027i	−0.650300	−	0.269363i	−0.683351	+	0.730090i	$0.739478\pi$
$312$	15.3522	+	20.3154i	0.869149	+	1.15013i
$313$	−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
$315$	−8.99517	−	8.05161i	−0.506821	−	0.453657i
$316$	8.19844	+	15.8078i	0.461199	+	0.889258i
$317$	2.87336	−	14.4454i	0.161384	−	0.811332i	−0.812266	−	0.583287i	$-0.801766\pi$
$317$	2.87336	−	14.4454i	0.161384	−	0.811332i	0.973650	−	0.228046i	$-0.0732336\pi$
$318$	−14.6696	+	9.22558i	−0.822629	+	0.517345i
$319$			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
$324$	3.51133	+	17.6542i	0.195074	+	0.980789i
$325$	9.27181	−	13.8763i	0.514308	−	0.769716i
$326$	−5.02299	+	13.7679i	−0.278198	+	0.762534i
$327$	−17.5597	−	8.77059i	−0.971052	−	0.485015i
$328$	−7.75385	+	6.76866i	−0.428134	+	0.373737i
$329$	0.438408	−	1.05841i	0.0241702	−	0.0583520i
$330$	−0.120284	+	4.34821i	−0.00662141	+	0.239361i
$331$	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
$333$	22.5040	−	10.8150i	1.23321	−	0.592661i
$334$	6.92539	−	1.68904i	0.378941	−	0.0924204i
$335$	−10.7291	+	10.7291i	−0.586195	+	0.586195i
$336$	−9.30284	+	2.85030i	−0.507512	+	0.155496i
$337$	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
$339$	−2.88972	+	10.5696i	−0.156948	+	0.574062i
$340$	−45.1195	−	5.01094i	−2.44695	−	0.271757i
$341$	−0.645275	−	3.24402i	−0.0349436	−	0.175673i
$342$	1.58265	−	16.0675i	0.0855797	−	0.868829i
$343$	15.6056	+	6.46403i	0.842621	+	0.349025i
$344$	−34.3309	−	9.28306i	−1.85100	−	0.500509i
$345$	−5.35168	−	2.67302i	−0.288125	−	0.143911i
$346$	21.1077	−	9.82314i	1.13476	−	0.528095i
$347$	−8.97159	−	5.99462i	−0.481620	−	0.321808i	0.290949	−	0.956738i	$-0.406029\pi$
$347$	−8.97159	−	5.99462i	−0.481620	−	0.321808i	−0.772570	+	0.634930i	$0.781029\pi$
$348$	−0.0874055	−	5.74392i	−0.00468543	−	0.307906i
$349$	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	$-0.376460\pi$
$353$	14.2205			0.756883			0.378441	+	0.925625i	$0.376460\pi$
$354$	1.54681	−	6.78937i	0.0822122	−	0.360851i
$355$	−14.7619	−	2.93632i	−0.783479	−	0.155844i
$356$	−4.60296	+	0.395644i	−0.243957	+	0.0209691i
$357$	2.41799	+	19.1160i	0.127973	+	1.01173i
$358$	−28.8415	+	13.4223i	−1.52432	+	0.709391i
$359$	−9.43655	−	22.7818i	−0.498042	−	1.20238i	−0.950537	−	0.310612i	$-0.899466\pi$
$359$	−9.43655	−	22.7818i	−0.498042	−	1.20238i	0.452495	−	0.891767i	$-0.350534\pi$
$360$	0.302457	−	24.3122i	0.0159409	−	1.28137i
$361$	1.72912	−	4.17448i	0.0910066	−	0.219709i
$362$	−8.01008	+	0.343616i	−0.421000	+	0.0180601i
$363$	14.5306	+	11.2674i	0.762660	+	0.591386i
$364$	−11.3995	+	9.12058i	−0.597498	+	0.478048i
$365$	4.31093	+	6.45176i	0.225644	+	0.337701i
$366$	7.92421	−	1.34959i	0.414205	−	0.0705442i
$367$	−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
$369$	−8.72801	+	6.55750i	−0.454362	+	0.341370i
$370$	−32.7658	+	7.99129i	−1.70341	+	0.415447i
$371$	−5.51983	−	8.26101i	−0.286575	−	0.428890i
$372$	3.88231	+	18.0758i	0.201289	+	0.937187i
$373$	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
$375$	8.42327	−	2.81170i	0.434976	−	0.145195i
$376$	2.18654	−	0.736665i	0.112762	−	0.0379906i
$377$	−3.29857	−	7.96344i	−0.169885	−	0.410138i
$378$	−10.0621	+	2.29226i	−0.517539	+	0.117901i
$379$	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
$381$	7.43044	−	4.23981i	0.380673	−	0.217212i
$382$	4.44539	−	28.7366i	0.227446	−	1.47029i
$383$	−15.5064			−0.792339			−0.396169	−	0.918177i	$-0.629661\pi$
$383$	−15.5064			−0.792339			−0.396169	+	0.918177i	$0.629661\pi$
$384$	−16.6461	−	10.3397i	−0.849466	−	0.527643i
$385$	−2.49390			−0.127101
$386$	3.09883	−	20.0319i	0.157726	−	1.01960i
$387$	−35.5943	−	12.4872i	−1.80936	−	0.634759i
$388$	−0.775739	+	2.44733i	−0.0393822	+	0.124244i
$389$	−7.84991	−	5.24515i	−0.398006	−	0.265939i	0.340420	−	0.940274i	$-0.389431\pi$
$389$	−7.84991	−	5.24515i	−0.398006	−	0.265939i	−0.738426	+	0.674334i	$0.764431\pi$
$390$	−13.0239	−	34.0786i	−0.659490	−	1.72564i
$391$	3.65380	+	8.82106i	0.184781	+	0.446100i
$392$	4.54031	+	13.4764i	0.229320	+	0.680661i
$393$	2.38811	+	7.15430i	0.120464	+	0.360887i
$394$	8.14396	−	8.87400i	0.410287	−	0.447066i
$395$	−4.97733	−	25.0227i	−0.250437	−	1.25903i
$396$	2.97283	+	2.23362i	0.149390	+	0.112244i
$397$	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
$399$	9.23350	+	0.652297i	0.462253	+	0.0326557i
$400$	−2.81793	+	12.5301i	−0.140896	+	0.626504i
$401$	−15.9010	+	15.9010i	−0.794059	+	0.794059i	−0.982151	−	0.188092i	$-0.939770\pi$
$401$	−15.9010	+	15.9010i	−0.794059	+	0.794059i	0.188092	+	0.982151i	$0.439770\pi$
$402$	2.17771	+	12.7866i	0.108615	+	0.637737i
$403$	15.4119	+	23.0656i	0.767722	+	1.14898i
$404$	25.4799	−	20.3860i	1.26767	−	1.01424i
$405$	2.20896	−	25.6942i	0.109764	−	1.27676i
$406$	3.29050	−	0.141156i	0.163305	−	0.00700545i
$407$	1.97383	−	4.76525i	0.0978391	−	0.236204i
$408$	−25.8013	+	28.9875i	−1.27736	+	1.43509i
$409$	−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
$411$	−21.4240	+	2.70992i	−1.05677	+	0.133671i
$412$	−28.0871	+	2.41420i	−1.38375	+	0.118939i
$413$	3.91557	+	0.778855i	0.192673	+	0.0383250i
$414$	−4.50993	+	2.41056i	−0.221651	+	0.118472i
$415$	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	$0.193291\pi$
$419$	−3.19014	+	16.0379i	−0.155849	+	0.783505i	−0.977074	+	0.212900i	$0.931709\pi$
$420$	13.9383	−	0.212100i	0.680121	−	0.0103494i
$421$	−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
$423$	2.37019	−	0.609361i	0.115242	−	0.0296281i
$424$	5.22318	−	19.3165i	0.253660	−	0.938094i
$425$	23.4978	+	9.73312i	1.13981	+	0.472126i
$426$	−9.34590	+	8.84275i	−0.452811	+	0.428433i
$427$	0.899091	+	4.52004i	0.0435101	+	0.218740i
$428$	6.48008	+	0.719674i	0.313226	+	0.0347868i
$429$	5.38189	+	1.47140i	0.259840	+	0.0710399i
$430$	43.5402	+	26.4663i	2.09970	+	1.27632i
$431$	24.0896	+	24.0896i	1.16036	+	1.16036i	0.984398	+	0.175959i	$0.0563025\pi$
$431$	24.0896	+	24.0896i	1.16036	+	1.16036i	0.175959	+	0.984398i	$0.443698\pi$
$432$	−16.8050	−	12.2308i	−0.808531	−	0.588453i
$433$	−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
$435$	−2.17052	+	7.93902i	−0.104068	+	0.380647i
$436$	21.7688	−	6.30908i	1.04254	−	0.302150i
$437$	4.49866	−	0.894839i	0.215200	−	0.0428060i
$438$	6.63056	+	0.183420i	0.316820	+	0.00876415i
$439$	−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
$441$	3.75569	+	14.6083i	0.178843	+	0.695631i
$442$	−19.9570	+	54.7019i	−0.949260	+	2.60190i
$443$	9.52397	−	14.2536i	0.452497	−	0.677210i	−0.533151	−	0.846020i	$-0.678992\pi$
$443$	9.52397	−	14.2536i	0.452497	−	0.677210i	0.985649	+	0.168810i	$0.0539924\pi$
$444$	−10.6264	+	26.8006i	−0.504306	+	1.27190i
$445$	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	$-0.858635\pi$
$449$		−	18.2084i		−	0.859309i	0.902993	−	0.429654i	$-0.141365\pi$
$450$	−3.95440	+	13.0355i	−0.186412	+	0.614500i
$451$	−0.439971	+	2.21188i	−0.0207174	+	0.104153i
$452$	−5.82524	−	11.2319i	−0.273996	−	0.528305i
$453$	−1.38205	−	10.9261i	−0.0649344	−	0.513355i
$454$	22.2173	+	8.10559i	1.04271	+	0.380414i
$455$	19.3243	−	8.00438i	0.905937	−	0.375251i
$456$	11.2399	+	14.8736i	0.526356	+	0.696518i
$457$	−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
$459$	−29.5452	+	28.6585i	−1.37905	+	1.33767i
$460$	6.63451	−	1.92283i	0.309336	−	0.0896522i
$461$	18.8867	−	12.6197i	0.879639	−	0.587756i	−0.0316608	−	0.999499i	$-0.510080\pi$
$461$	18.8867	−	12.6197i	0.879639	−	0.587756i	0.911300	+	0.411742i	$0.135080\pi$
$462$	−1.23298	+	1.73917i	−0.0573632	+	0.0809134i
$463$	−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
$465$	1.86660	−	26.4223i	0.0865613	−	1.22531i
$466$	1.69292	−	2.78507i	0.0784231	−	0.129016i
$467$	19.3545	−	12.9323i	0.895619	−	0.598434i	−0.0203012	−	0.999794i	$-0.506463\pi$
$467$	19.3545	−	12.9323i	0.895619	−	0.598434i	0.915920	+	0.401360i	$0.131463\pi$
$468$	−30.2043	−	7.76589i	−1.39619	−	0.358978i
$469$	−7.29358	+	1.45078i	−0.336786	+	0.0669910i
$470$	−3.30269	+	0.141678i	−0.152342	+	0.00653514i
$471$	−31.8238	+	10.6228i	−1.46636	+	0.489473i
$472$	4.00437	+	6.97251i	0.184316	+	0.320936i
$473$	−7.19927	+	2.98203i	−0.331023	+	0.137114i
$474$	−19.9108	−	8.90009i	−0.914533	−	0.408795i
$475$	6.78821	−	10.1593i	0.311464	−	0.466139i
$476$	−17.0220	−	14.3274i	−0.780203	−	0.656696i
$477$	7.02600	−	20.0274i	0.321698	−	0.916992i
$478$	7.26354	−	5.31735i	0.332227	−	0.243210i
$479$		−	19.7669i		−	0.903173i	−0.892227	−	0.451587i	$-0.850858\pi$
$479$		−	19.7669i		−	0.903173i	0.892227	−	0.451587i	$-0.149142\pi$
$480$	18.7829	+	20.8671i	0.857316	+	0.952450i
$481$			43.2592i			1.97245i
$482$	17.4515	+	23.8389i	0.794896	+	1.08583i
$483$	−1.45301	−	2.54646i	−0.0661143	−	0.115868i
$484$	−21.1538	+	1.81826i	−0.961538	+	0.0826482i
$485$	2.04353	−	3.05837i	0.0927921	−	0.138873i
$486$	−16.8262	−	14.2436i	−0.763252	−	0.646101i
$487$	−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
$489$	−5.68325	−	17.0259i	−0.257005	−	0.769936i
$490$	−0.873212	−	20.3556i	−0.0394477	−	0.919570i
$491$	−35.7627	+	7.11364i	−1.61395	+	0.321034i	−0.917854	−	0.396918i	$-0.870080\pi$
$491$	−35.7627	+	7.11364i	−1.61395	+	0.321034i	−0.696092	+	0.717952i	$0.745080\pi$
$492$	2.27086	−	12.3995i	0.102378	−	0.559014i
$493$	10.9224	−	7.29812i	0.491921	−	0.328691i
$494$	23.9035	+	14.5299i	1.07547	+	0.653731i
$495$	−3.20008	−	4.25930i	−0.143833	−	0.191441i
$496$	−17.4500	−	12.2980i	−0.783527	−	0.552196i
$497$	−5.21603	−	5.21603i	−0.233971	−	0.233971i
$498$	17.0456	−	24.0436i	0.763832	−	1.07742i
$499$	−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
$501$	−5.34987	+	6.89926i	−0.239014	+	0.308236i
$502$	17.4715	+	16.0342i	0.779791	+	0.715640i
$503$	39.2007	+	16.2374i	1.74787	+	0.723992i	0.998055	+	0.0623467i	$0.0198585\pi$
$503$	39.2007	+	16.2374i	1.74787	+	0.723992i	0.749817	+	0.661645i	$0.230142\pi$
$504$	6.74314	−	9.82500i	0.300363	−	0.437640i
$505$	−43.1931	+	17.8912i	−1.92207	+	0.796146i
$506$	−0.362064	+	0.992410i	−0.0160957	+	0.0441180i
$507$	−24.0860	+	3.04665i	−1.06970	+	0.135307i
$508$	−2.98484	+	9.41668i	−0.132431	+	0.417798i
$509$	0.270782	−	1.36131i	0.0120022	−	0.0603392i	−0.974320	−	0.225168i	$-0.927707\pi$
$509$	0.270782	−	1.36131i	0.0120022	−	0.0603392i	0.986322	+	0.164828i	$0.0527070\pi$
$510$	47.0659	−	29.5993i	2.08411	−	1.31068i
$511$			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
$516$	39.9828	−	17.2788i	1.76015	−	0.760655i
$517$	0.280872	−	0.420354i	0.0123527	−	0.0184872i
$518$	−15.5282	−	5.66518i	−0.682268	−	0.248914i
$519$	−12.7411	+	25.5090i	−0.559272	+	1.11972i
$520$	37.7394	+	18.7183i	1.65498	+	0.820852i
$521$	0.000817905	−	0.00197460i	3.58331e−5	−	8.65086e-5i	−0.923862	−	0.382727i	$-0.874985\pi$
$521$	0.000817905	−	0.00197460i	3.58331e−5	−	8.65086e-5i	0.923897	+	0.382640i	$0.124985\pi$
$522$	4.46332	+	5.43867i	0.195354	+	0.238044i
$523$	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
$525$	−7.53346	−	2.05964i	−0.328787	−	0.0898900i
$526$	−8.30021	−	34.0324i	−0.361906	−	1.48388i
$527$	−29.8944	+	29.8944i	−1.30222	+	1.30222i
$528$	−4.27182	+	0.432751i	−0.185907	+	0.0188331i
$529$	15.2362	+	15.2362i	0.662443	+	0.662443i
$530$	−14.8914	+	24.4982i	−0.646843	+	1.06414i
$531$	3.69411	+	7.68673i	0.160311	+	0.333576i
$532$	−8.34598	+	6.67748i	−0.361844	+	0.289505i
$533$	−3.69005	−	18.5511i	−0.159834	−	0.803539i
$534$	4.11009	−	3.88882i	0.177861	−	0.168286i
$535$	−8.63017	−	3.57473i	−0.373115	−	0.154549i
$536$	−11.8614	−	9.14472i	−0.512335	−	0.394992i
$537$	17.4094	−	34.8555i	0.751271	−	1.50412i
$538$	7.85294	+	16.8742i	0.338564	+	0.727500i
$539$	2.59078	+	1.73111i	0.111593	+	0.0745640i
$540$	18.2474	+	23.5329i	0.785241	+	1.01269i
$541$	−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
$546$	3.97185	−	17.4335i	0.169979	−	0.746083i
$547$	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
$549$	−6.56601	+	7.33547i	−0.280230	+	0.313070i
$550$	1.18733	+	2.55130i	0.0506278	+	0.108788i
$551$	−2.41499	−	5.83030i	−0.102882	−	0.248379i
$552$	1.93916	−	5.57733i	0.0825360	−	0.237387i
$553$	4.78506	−	11.5522i	0.203481	−	0.491248i
$554$	0.0677294	+	1.57885i	0.00287755	+	0.0670788i
$555$	25.3116	−	32.6421i	1.07442	−	1.38558i
$556$	40.5080	+	4.49880i	1.71792	+	0.190792i
$557$	22.0015	+	32.9276i	0.932235	+	1.39519i	0.918560	+	0.395282i	$0.129353\pi$
$557$	22.0015	+	32.9276i	0.932235	+	1.39519i	0.0136752	+	0.999906i	$0.495647\pi$
$558$	−17.5032	−	14.3648i	−0.740971	−	0.608110i
$559$	46.2132	−	46.2132i	1.95461	−	1.95461i
$560$	−11.6614	+	11.0954i	−0.492782	+	0.468868i
$561$	−0.599201	+	8.48190i	−0.0252983	+	0.358106i
$562$	1.03607	+	4.24808i	0.0437040	+	0.179195i
$563$	10.2428	+	15.3295i	0.431684	+	0.646060i	0.981997	−	0.188898i	$-0.0604916\pi$
$563$	10.2428	+	15.3295i	0.431684	+	0.646060i	−0.550313	+	0.834959i	$0.685492\pi$
$564$	−1.53403	+	2.37323i	−0.0645944	+	0.0999310i
$565$	3.53654	+	17.7794i	0.148783	+	0.747984i
$566$	−21.4787	−	19.7117i	−0.902815	−	0.828544i
$567$	7.89635	−	9.86906i	0.331615	−	0.414462i
$568$	1.00554	−	14.8226i	0.0421915	−	0.621942i
$569$	−2.19064	−	5.28866i	−0.0918362	−	0.221712i	0.871287	−	0.490775i	$-0.163286\pi$
$569$	−2.19064	−	5.28866i	−0.0918362	−	0.221712i	−0.963123	+	0.269062i	$0.913286\pi$
$570$	−9.53523	−	24.9501i	−0.399387	−	1.04505i
$571$	−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
$573$	17.6500	+	30.9323i	0.737339	+	1.29222i
$574$	7.14229	+	1.10487i	0.298113	+	0.0461165i
$575$	−3.86999			−0.161390
$576$	23.8382	−	2.78194i	0.993259	−	0.115914i
$577$	−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
$579$	12.3036	+	21.5625i	0.511319	+	0.896109i
$580$	−4.37544	−	8.43650i	−0.181680	−	0.350306i
$581$	14.0498	+	9.38781i	0.582886	+	0.389472i
$582$	−1.12249	−	2.93714i	−0.0465287	−	0.121748i
$583$	−1.67786	−	4.05072i	−0.0694900	−	0.167764i
$584$	−5.77004	+	5.03691i	−0.238766	+	0.208429i
$585$	38.4667	+	22.7327i	1.59040	+	0.939882i
$586$	−6.83169	−	6.26967i	−0.282214	−	0.258998i
$587$	4.58738	+	23.0623i	0.189342	+	0.951884i	0.952236	+	0.305362i	$0.0987773\pi$
$587$	4.58738	+	23.0623i	0.189342	+	0.951884i	−0.762895	+	0.646522i	$0.776223\pi$
$588$	−14.6270	−	9.45474i	−0.603208	−	0.389907i
$589$	11.2836	+	16.8871i	0.464932	+	0.695819i
$590$	−2.72960	−	11.1919i	−0.112376	−	0.460761i
$591$	−1.03953	+	14.7149i	−0.0427604	+	0.605289i
$592$	−11.9712	−	31.0636i	−0.492013	−	1.27671i
$593$	14.6278	−	14.6278i	0.600692	−	0.600692i	−0.339804	−	0.940496i	$-0.610361\pi$
$593$	14.6278	−	14.6278i	0.600692	−	0.600692i	0.940496	+	0.339804i	$0.110361\pi$
$594$	−4.55240	+	0.125855i	−0.186787	+	0.00516389i
$595$	17.7098	+	26.5046i	0.726031	+	1.08658i
$596$	0.872342	−	7.85473i	0.0357325	−	0.321742i
$597$	−18.7586	+	24.1914i	−0.767739	+	0.990087i
$598$	−0.379727	−	8.85186i	−0.0155282	−	0.361980i
$599$	10.0110	−	24.1688i	0.409040	−	0.987510i	−0.576351	−	0.817202i	$-0.695524\pi$
$599$	10.0110	−	24.1688i	0.409040	−	0.987510i	0.985391	−	0.170308i	$-0.0544761\pi$
$600$	−6.85291	−	14.1582i	−0.279769	−	0.578004i
$601$	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
$603$	−11.8366	−	10.5950i	−0.482024	−	0.431461i
$604$	9.72929	+	8.18913i	0.395879	+	0.333211i
$605$	29.8348	+	5.93451i	1.21296	+	0.241272i
$606$	−8.87775	+	38.9668i	−0.360634	+	1.58292i
$607$	−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
$612$	2.62755	−	47.4560i	0.106212	−	1.91829i
$613$	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
$615$	−8.07012	+	16.1572i	−0.325419	+	0.651523i
$616$	−0.315738	−	2.44136i	−0.0127214	−	0.0983651i
$617$	22.1792	+	9.18693i	0.892901	+	0.369852i	0.781486	−	0.623922i	$-0.214462\pi$
$617$	22.1792	+	9.18693i	0.892901	+	0.369852i	0.111415	+	0.993774i	$0.464462\pi$
$618$	25.0796	−	23.7294i	1.00885	−	0.954537i
$619$	−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
$621$	2.48461	−	5.74909i	0.0997040	−	0.230703i
$622$	−9.11834	+	15.0008i	−0.365612	+	0.601477i
$623$	2.29388	+	2.29388i	0.0919022	+	0.0919022i
$624$	31.7117	−	17.0640i	1.26948	−	0.683105i
$625$	21.7399	−	21.7399i	0.869595	−	0.869595i
$626$	1.05274	+	4.31642i	0.0420758	+	0.172519i
$627$	3.94026	+	1.07726i	0.157359	+	0.0430217i
$628$	18.6853	−	33.9361i	0.745623	−	1.35420i
$629$	−64.6605	+	12.8618i	−2.57818	+	0.512832i
$630$	−13.1976	+	10.8308i	−0.525805	+	0.431510i
$631$	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
$633$	6.38355	−	12.7806i	0.253723	−	0.507981i
$634$	−19.5675	−	7.13886i	−0.777124	−	0.283520i
$635$	7.86300	−	11.7678i	0.312034	−	0.466991i
$636$	9.72202	+	22.4966i	0.385503	+	0.892049i
$637$	−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	$0.0820730\pi$
$641$			12.9118i			0.509985i	−0.966943	+	0.254992i	$0.917927\pi$
$642$	−6.75962	+	4.25107i	−0.266781	+	0.167776i
$643$	−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
$645$	−61.9112	+	7.83116i	−2.43775	+	0.308352i
$646$	−14.6112	+	40.0491i	−0.574871	+	1.57571i
$647$	4.76274	−	1.97279i	0.187242	−	0.0775584i	−0.287092	−	0.957903i	$-0.592689\pi$
$647$	4.76274	−	1.97279i	0.187242	−	0.0775584i	0.474335	+	0.880345i	$0.342689\pi$
$648$	25.4325	−	1.09057i	0.999082	−	0.0428416i
$649$	1.62767	+	0.674204i	0.0638917	+	0.0264648i
$650$	−17.3887	−	15.9582i	−0.682043	−	0.625933i
$651$	7.95509	−	10.2590i	0.311785	−	0.402082i
$652$	18.1559	+	9.99670i	0.711041	+	0.391501i
$653$	−14.6461	+	9.78621i	−0.573146	+	0.382964i	−0.808102	−	0.589042i	$-0.799505\pi$
$653$	−14.6461	+	9.78621i	−0.573146	+	0.382964i	0.234956	+	0.972006i	$0.424505\pi$
$654$	−16.0541	+	22.6450i	−0.627764	+	0.885490i
$655$	8.82313	+	8.82313i	0.344748	+	0.344748i
$656$	7.78344	+	12.3001i	0.303892	+	0.480237i
$657$	−6.49497	+	4.87978i	−0.253393	+	0.190378i
$658$	−1.38444	−	0.841542i	−0.0539711	−	0.0328067i
$659$	−1.74432	+	1.16552i	−0.0679491	+	0.0454021i	−0.589081	−	0.808074i	$-0.700510\pi$
$659$	−1.74432	+	1.16552i	−0.0679491	+	0.0454021i	0.521132	+	0.853476i	$0.325510\pi$
$660$	6.05101	+	1.10819i	0.235535	+	0.0431362i
$661$	−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
$663$	−22.5804	−	67.6461i	−0.876948	−	2.62716i
$664$	4.36501	+	33.7512i	0.169395	+	1.30980i
$665$	14.1480	−	5.86028i	0.548634	−	0.227252i
$666$	−10.2496	−	33.7896i	−0.397166	−	1.30932i
$667$	−1.11047	+	1.66194i	−0.0429977	+	0.0643506i
$668$	−0.863326	−	10.0440i	−0.0334031	−	0.388615i
$669$	1.89803	+	3.32637i	0.0733820	+	0.128605i
$670$	12.6753	+	17.3146i	0.489690	+	0.668920i
$671$			2.03375i			0.0785122i
$672$	1.97228	+	13.6178i	0.0760823	+	0.525318i
$673$			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
$675$	−6.14901	−	15.5091i	−0.236676	−	0.596946i
$676$	18.0525	−	21.4477i	0.694325	−	0.824910i
$677$	20.7779	−	31.0963i	0.798558	−	1.19513i	−0.178873	−	0.983872i	$-0.557245\pi$
$677$	20.7779	−	31.0963i	0.798558	−	1.19513i	0.977431	−	0.211254i	$-0.0677549\pi$
$678$	14.1472	+	6.32378i	0.543320	+	0.242863i
$679$	1.66550	−	0.689874i	0.0639162	−	0.0264749i
$680$	−16.7580	+	61.9752i	−0.642642	+	2.37664i
$681$	−27.4746	+	9.17105i	−1.05283	+	0.351436i
$682$	−4.67331	+	0.200476i	−0.178950	+	0.00767661i
$683$	16.1247	−	3.20740i	0.616995	−	0.122728i	0.123309	−	0.992368i	$-0.460649\pi$
$683$	16.1247	−	3.20740i	0.616995	−	0.122728i	0.493686	+	0.869640i	$0.335649\pi$
$684$	−22.1136	−	5.68567i	−0.845534	−	0.217397i
$685$	−29.7046	+	19.8480i	−1.13495	+	0.758353i
$686$	12.4080	−	20.4127i	0.473739	−	0.779359i
$687$	−0.652123	+	9.23103i	−0.0248800	+	0.352186i
$688$	−20.3962	+	45.9736i	−0.777599	+	1.75273i
$689$	26.0022	+	26.0022i	0.990606	+	0.990606i
$690$	−4.89282	+	6.90155i	−0.186266	+	0.262737i
$691$	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
$693$	−0.144301	−	2.60702i	−0.00548156	−	0.0990327i
$694$	−10.3177	+	11.2426i	−0.391654	+	0.426762i
$695$	−53.9486	−	22.3462i	−2.04639	−	0.847641i
$696$	−8.04654	−	1.11967i	−0.305003	−	0.0424411i
$697$	26.6317	−	11.0312i	1.00875	−	0.417836i
$698$	−27.2144	−	9.92869i	−1.03008	−	0.375807i
$699$	0.500923	+	3.96017i	0.0189466	+	0.149787i
$700$	8.00552	−	4.15192i	0.302580	−	0.156928i
$701$	3.73772	−	18.7908i	0.141172	−	0.709718i	−0.843753	−	0.536732i	$-0.819658\pi$
$701$	3.73772	−	18.7908i	0.141172	−	0.709718i	0.984924	−	0.172986i	$-0.0553415\pi$
$702$	34.8708	−	15.5865i	1.31611	−	0.588274i
$703$			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
$708$	−9.15434	−	3.62967i	−0.344041	−	0.136411i
$709$	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
$711$	25.8697	−	6.65095i	0.970190	−	0.249430i
$712$	−0.442210	+	6.51860i	−0.0165725	+	0.244295i
$713$	2.46173	−	5.94315i	0.0921926	−	0.222573i
$714$	27.2391	+	0.753511i	1.01940	+	0.0281994i
$715$	9.05300	−	1.80075i	0.338563	−	0.0673444i
$716$	12.5234	+	43.2106i	0.468020	+	1.61485i
$717$	−2.90751	+	10.6347i	−0.108583	+	0.397159i
$718$	−33.8798	+	8.26300i	−1.26438	+	0.308373i
$719$	11.6684	−	11.6684i	0.435158	−	0.435158i	−0.455221	−	0.890379i	$-0.650440\pi$
$719$	11.6684	−	11.6684i	0.435158	−	0.435158i	0.890379	+	0.455221i	$0.150440\pi$
$720$	−33.9131	−	5.67899i	−1.26387	−	0.211644i
$721$	13.9971	+	13.9971i	0.521281	+	0.521281i
$722$	−5.46037	−	3.31913i	−0.203214	−	0.123525i
$723$	−34.9030	−	9.54244i	−1.29806	−	0.354887i
$724$	−1.25154	+	11.2691i	−0.0465131	+	0.418813i
$725$	1.03875	+	5.22215i	0.0385782	+	0.193946i
$726$	18.8887	−	17.8718i	0.701027	−	0.663286i
$727$	−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
$729$	26.9875	+	0.822448i	0.999536	+	0.0304610i
$730$	9.94894	−	4.63005i	0.368227	−	0.171366i
$731$	82.8160	+	55.3359i	3.06306	+	2.04667i
$732$	−0.172966	−	11.3666i	−0.00639300	−	0.420121i
$733$	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
$738$	7.27771	+	13.6159i	0.267896	+	0.501209i
$739$	−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
$741$	−33.9891	+	4.29929i	−1.24862	+	0.157938i
$742$	−12.7389	+	5.92843i	−0.467659	+	0.217640i
$743$	−9.13394	−	22.0513i	−0.335092	−	0.808983i	−0.998172	−	0.0604348i	$-0.980751\pi$
$743$	−9.13394	−	22.0513i	−0.335092	−	0.808983i	0.663080	−	0.748548i	$-0.269249\pi$
$744$	26.1019	−	1.51790i	0.956943	−	0.0556491i
$745$	−4.33306	+	10.4609i	−0.158751	+	0.383259i
$746$	6.46828	−	0.277476i	0.236821	−	0.0101591i
$747$	1.99494	+	36.0415i	0.0729909	+	1.31869i
$748$	−6.13394	−	7.66662i	−0.224279	−	0.280319i
$749$	−2.54349	−	3.80660i	−0.0929371	−	0.139090i
$750$	−2.10850	−	12.3802i	−0.0769914	−	0.452060i
$751$	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
$753$	−28.9713	−	2.04666i	−1.05577	−	0.0745846i
$754$	−11.8428	+	2.88835i	−0.431288	+	0.105188i
$755$	−10.1224	−	15.1493i	−0.368392	−	0.551338i
$756$	1.02822	+	14.5583i	0.0373959	+	0.529480i
$757$	−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
$759$	−0.409656	−	1.22725i	−0.0148696	−	0.0445462i
$760$	27.6302	+	13.7043i	1.00225	+	0.497107i
$761$	−13.2497	−	31.9875i	−0.480300	−	1.15955i	−0.959467	−	0.281822i	$-0.909061\pi$
$761$	−13.2497	−	31.9875i	−0.480300	−	1.15955i	0.479167	−	0.877724i	$-0.340939\pi$
$762$	−4.31906	−	11.3014i	−0.156463	−	0.409405i
$763$	−13.2326	−	8.84173i	−0.479052	−	0.320092i
$764$	−39.2009	−	12.4257i	−1.41824	−	0.449545i
$765$	−22.5422	+	64.2559i	−0.815015	+	2.32318i
$766$	−3.35247	+	21.6716i	−0.121130	+	0.783025i
$767$	−14.7761			−0.533534
$768$	−18.0495	+	21.0289i	−0.651304	+	0.758817i
$769$	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
$771$	−16.1781	+	9.23120i	−0.582638	+	0.332453i
$772$	−27.3265	−	8.66178i	−0.983501	−	0.311744i
$773$	−16.5914	−	11.0860i	−0.596751	−	0.398736i	0.220191	−	0.975457i	$-0.429332\pi$
$773$	−16.5914	−	11.0860i	−0.596751	−	0.398736i	−0.816941	+	0.576721i	$0.804332\pi$
$774$	−25.1474	+	47.0465i	−0.903905	+	1.69105i
$775$	−6.55764	−	15.8315i	−0.235557	−	0.568686i
$776$	3.25264	+	1.61328i	0.116763	+	0.0579132i
$777$	19.2026	−	6.40986i	0.688890	−	0.229952i
$778$	−9.02771	+	9.83696i	−0.323659	+	0.352672i
$779$	−2.70161	−	13.5819i	−0.0967952	−	0.486622i
$780$	−50.4437	+	10.8343i	−1.80618	+	0.387929i
$781$	−1.80852	−	2.70665i	−0.0647141	−	0.0968515i
$782$	13.1182	−	3.19941i	0.469105	−	0.114411i
$783$	−8.42471	−	1.80961i	−0.301075	−	0.0646700i
$784$	19.8161	−	3.43190i	0.707718	−	0.122568i
$785$	−39.2471	+	39.2471i	−1.40079	+	1.40079i
$786$	10.5151	−	1.79085i	0.375061	−	0.0638775i
$787$	−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
$789$	33.9040	+	26.2900i	1.20701	+	0.935950i
$790$	−36.0476	+	1.54637i	−1.28252	+	0.0550173i
$791$	−3.39993	+	8.20815i	−0.120887	+	0.291848i
$792$	3.76441	−	3.67189i	0.133762	−	0.130475i
$793$	−6.52749	−	15.7588i	−0.231798	−	0.559610i
$794$	9.65673	−	4.49406i	0.342704	−	0.159488i
$795$	−4.40626	−	34.8348i	−0.156274	−	1.23546i
$796$	−3.02714	−	35.2181i	−0.107294	−	1.24827i
$797$	6.76280	+	1.34520i	0.239551	+	0.0476496i	0.313405	−	0.949619i	$-0.398530\pi$
$797$	6.76280	+	1.34520i	0.239551	+	0.0476496i	−0.0738548	+	0.997269i	$0.523530\pi$
$798$	2.90792	−	12.7636i	0.102939	−	0.451827i
$799$	−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
$804$	18.3412	−	0.279100i	0.646845	−	0.00984309i
$805$	−4.03291	−	2.69470i	−0.142141	−	0.0949758i
$806$	35.5682	−	16.5528i	1.25284	−	0.583047i
$807$	−20.3928	−	10.1857i	−0.717859	−	0.358552i
$808$	−22.9826	−	40.0179i	−0.808525	−	1.40782i
$809$	−0.606598	−	0.251261i	−0.0213269	−	0.00883388i	0.371995	−	0.928235i	$-0.378674\pi$
$809$	−0.606598	−	0.251261i	−0.0213269	−	0.00883388i	−0.393321	+	0.919401i	$0.628674\pi$
$810$	−35.4324	−	8.64229i	−1.24497	−	0.303659i
$811$	−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
$813$	12.2235	−	44.7095i	0.428698	−	1.56803i
$814$	−6.23312	−	3.78885i	−0.218471	−	0.132799i
$815$	−20.9974	−	20.9974i	−0.735505	−	0.735505i
$816$	34.9344	+	42.3268i	1.22295	+	1.48173i
$817$	33.8343	−	33.8343i	1.18371	−	1.18371i
$818$	−19.0356	+	4.64262i	−0.665564	+	0.162325i
$819$	9.48559	+	19.7377i	0.331453	+	0.689690i
$820$	−5.80520	−	20.0303i	−0.202726	−	0.699487i
$821$	13.2030	−	2.62623i	0.460787	−	0.0916562i	0.0407620	−	0.999169i	$-0.487021\pi$
$821$	13.2030	−	2.62623i	0.460787	−	0.0916562i	0.420025	+	0.907513i	$0.362021\pi$
$822$	−0.844485	+	30.5278i	−0.0294548	+	1.06478i
$823$	−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
$825$	−3.08329	−	1.54002i	−0.107346	−	0.0536167i
$826$	1.93506	−	5.30397i	0.0673295	−	0.184549i
$827$	23.6415	−	35.3820i	0.822096	−	1.23035i	−0.148326	−	0.988939i	$-0.547388\pi$
$827$	23.6415	−	35.3820i	0.822096	−	1.23035i	0.970422	−	0.241415i	$-0.0776116\pi$
$828$	2.39393	+	6.82419i	0.0831947	+	0.237157i
$829$	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
$834$	−42.2555	+	26.5741i	−1.46319	+	0.920186i
$835$	−2.81776	+	14.1658i	−0.0975126	+	0.490229i
$836$	−4.18716	+	2.17160i	−0.144816	+	0.0751064i
$837$	27.7288	+	0.422422i	0.958448	+	0.0146011i
$838$	21.7248	+	7.92591i	0.750469	+	0.273796i
$839$	−32.9377	+	13.6432i	−1.13713	+	0.471017i	−0.870200	−	0.492698i	$-0.836011\pi$
$839$	−32.9377	+	13.6432i	−1.13713	+	0.471017i	−0.266934	+	0.963715i	$0.586011\pi$
$840$	2.71703	−	19.5259i	0.0937464	−	0.673709i
$841$	−24.2518	−	10.0454i	−0.836270	−	0.346394i
$842$	−28.2740	+	30.8085i	−0.974387	+	1.06173i
$843$	−4.23205	−	3.28164i	−0.145760	−	0.113026i
$844$	4.59197	+	15.8441i	0.158062	+	0.545378i
$845$	−33.3956	+	22.3143i	−1.14885	+	0.767634i
$846$	−0.339204	−	3.44429i	−0.0116621	−	0.118417i
$847$	10.5420	+	10.5420i	0.362226	+	0.362226i
$848$	−25.8674	−	11.4761i	−0.888289	−	0.394091i
$849$	35.6159	+	2.51607i	1.22234	+	0.0863514i
$850$	18.6831	−	30.7360i	0.640826	−	1.05424i
$851$	8.34081	−	5.57315i	0.285919	−	0.191045i
$852$	10.3380	+	14.9735i	0.354173	+	0.512985i
$853$	−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
$855$	28.1628	+	16.6434i	0.963146	+	0.569191i
$856$	2.40680	−	8.90090i	0.0822627	−	0.304227i
$857$	−23.2798	+	9.64279i	−0.795221	+	0.329392i	−0.743041	−	0.669246i	$-0.766617\pi$
$857$	−23.2798	+	9.64279i	−0.795221	+	0.329392i	−0.0521807	+	0.998638i	$0.516617\pi$
$858$	3.21998	−	7.20356i	0.109928	−	0.245925i
$859$	−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
$861$	−7.68802	+	4.38678i	−0.262007	+	0.149501i
$862$	38.8756	−	28.4593i	1.32411	−	0.969326i
$863$		−	14.1265i		−	0.480870i	−0.970665	−	0.240435i	$-0.922710\pi$
$863$		−	14.1265i		−	0.480870i	0.970665	−	0.240435i	$-0.0772901\pi$
$864$	−20.7268	+	20.8422i	−0.705141	+	0.709067i
$865$			47.1725i			1.60391i
$866$	14.1522	+	19.3321i	0.480913	+	0.656931i
$867$	68.8242	−	39.2711i	2.33739	−	1.33372i
$868$	1.28374	+	14.9352i	0.0435730	+	0.506933i
$869$	3.06561	−	4.58801i	0.103994	−	0.155638i
$870$	10.6262	+	4.74991i	0.360263	+	0.161037i
$871$	25.4285	−	10.5328i	0.861613	−	0.356892i
$872$	−4.11110	−	31.7879i	−0.139219	−	1.07648i
$873$	3.31533	+	1.95926i	0.112207	+	0.0663111i
$874$	−0.278011	−	6.48075i	−0.00940386	−	0.219215i
$875$	7.06176	−	1.40467i	0.238731	−	0.0474865i
$876$	1.68987	−	9.22714i	0.0570953	−	0.311756i
$877$	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
$879$	11.3283	+	0.800284i	0.382094	+	0.0269929i
$880$	−6.00247	+	3.79834i	−0.202343	+	0.128042i
$881$	−29.9430	−	29.9430i	−1.00881	−	1.00881i	−0.999961	−	0.00884550i	$-0.997184\pi$
$881$	−29.9430	−	29.9430i	−1.00881	−	1.00881i	−0.00884550	−	0.999961i	$-0.502816\pi$
$882$	21.2283	−	2.09063i	0.714795	−	0.0703950i
$883$	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
$885$	11.1496	+	8.64571i	0.374791	+	0.290622i
$886$	−17.8616	−	16.3922i	−0.600074	−	0.550708i
$887$	−5.72601	−	2.37179i	−0.192261	−	0.0796370i	0.284476	−	0.958683i	$-0.408180\pi$
$887$	−5.72601	−	2.37179i	−0.192261	−	0.0796370i	−0.476737	+	0.879046i	$0.658180\pi$
$888$	35.1589	+	20.6456i	1.17986	+	0.692821i
$889$	6.40843	−	2.65446i	0.214932	−	0.0890277i
$890$	3.20828	−	8.79383i	0.107542	−	0.294770i
$891$	4.26733	−	3.59168i	0.142961	−	0.120326i
$892$	−4.21555	−	1.33622i	−0.141147	−	0.0447400i
$893$	−0.605625	+	3.04468i	−0.0202665	+	0.101886i
$894$	5.15287	+	8.19357i	0.172338	+	0.274034i
$895$		−	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
$900$	17.3634	+	8.34490i	0.578779	+	0.278163i
$901$	−31.1352	+	46.5971i	−1.03726	+	1.55237i
$902$	2.99618	+	1.09311i	0.0997620	+	0.0363965i
$903$	−27.3615	−	13.6663i	−0.910533	−	0.454787i
$904$	−16.9570	+	5.71296i	−0.563982	+	0.190010i
$905$	6.21659	−	15.0082i	0.206646	−	0.498889i
$906$	−15.5691	−	0.430685i	−0.517248	−	0.0143085i
$907$	−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
$909$	−21.2019	−	44.1170i	−0.703223	−	1.46327i
$910$	−7.00895	−	28.7380i	−0.232344	−	0.952655i
$911$	30.9157	−	30.9157i	1.02428	−	1.02428i	0.0245834	−	0.999698i	$-0.492174\pi$
$911$	30.9157	−	30.9157i	1.02428	−	1.02428i	0.999698	−	0.0245834i	$-0.00782594\pi$
$912$	23.2172	−	12.4931i	0.768798	−	0.413688i
$913$	5.27279	+	5.27279i	0.174504	+	0.174504i
$914$	−12.8323	+	21.1107i	−0.424454	+	0.698279i
$915$	−4.29522	+	15.7104i	−0.141995	+	0.519371i
$916$	−6.67569	−	8.34374i	−0.220571	−	0.275685i
$917$	1.19306	+	5.99789i	0.0393982	+	0.198068i
$918$	33.6652	+	47.4880i	1.11112	+	1.56734i
$919$	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
$921$	8.87749	+	4.43408i	0.292523	+	0.146108i
$922$	−13.5538	−	29.1242i	−0.446372	−	0.959153i
$923$	22.7008	+	15.1682i	0.747204	+	0.499266i
$924$	2.16408	+	2.09920i	0.0711929	+	0.0690586i
$925$	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	$-0.226099\pi$
$929$	46.2166			1.51632			0.758159	+	0.652070i	$0.226099\pi$
$930$	−36.5240	−	8.32123i	−1.19767	−	0.272864i
$931$	−18.7654	−	3.73267i	−0.615010	−	0.122333i
$932$	−3.52637	−	2.96814i	−0.115510	−	0.0972247i
$933$	−2.69805	−	21.3301i	−0.0883302	−	0.698316i
$934$	−13.8896	−	29.8456i	−0.454480	−	0.976578i
$935$	5.38326	+	12.9963i	0.176051	+	0.425025i
$936$	−17.3837	+	40.5342i	−0.568203	+	1.32490i
$937$	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
$939$	−4.30013	−	3.33443i	−0.140329	−	0.108815i
$940$	−0.516030	+	4.64643i	−0.0168310	+	0.151550i
$941$	−3.43549	−	5.14157i	−0.111994	−	0.167610i	0.771239	−	0.636546i	$-0.219638\pi$
$941$	−3.43549	−	5.14157i	−0.111994	−	0.167610i	−0.883232	+	0.468936i	$0.844638\pi$
$942$	7.96606	+	46.7732i	0.259548	+	1.52395i
$943$	−3.10145	+	3.10145i	−0.100997	+	0.100997i
$944$	10.6105	−	4.08901i	0.345341	−	0.133086i
$945$	4.39124	−	20.4436i	0.142847	−	0.665031i
$946$	2.61118	+	10.7063i	0.0848969	+	0.348093i
$947$	−22.8368	−	34.1777i	−0.742096	−	1.11062i	−0.989893	−	0.141813i	$-0.954707\pi$
$947$	−22.8368	−	34.1777i	−0.742096	−	1.11062i	0.247798	−	0.968812i	$-0.420293\pi$
$948$	−16.7434	+	25.9029i	−0.543800	+	0.841288i
$949$	−2.74596	−	13.8049i	−0.0891376	−	0.448125i
$950$	−12.7309	−	11.6836i	−0.413044	−	0.379065i
$951$	24.1978	−	8.07725i	0.784667	−	0.261923i
$952$	−23.7040	+	20.6922i	−0.768251	+	0.670639i
$953$	16.8800	+	40.7519i	0.546796	+	1.32008i	0.919849	+	0.392273i	$0.128311\pi$
$953$	16.8800	+	40.7519i	0.546796	+	1.32008i	−0.373052	+	0.927810i	$0.621689\pi$
$954$	−26.4711	−	14.1494i	−0.857033	−	0.458103i
$955$	48.9885	+	32.7330i	1.58523	+	1.05922i
$956$	−5.86110	−	11.3011i	−0.189562	−	0.365503i
$957$	−1.54609	+	0.882197i	−0.0499779	+	0.0285174i
$958$	−27.6260	−	4.27359i	−0.892557	−	0.138074i
$959$	−17.5091			−0.565399
$960$	33.2245	−	21.7393i	1.07232	−	0.701632i
$961$	−2.51608			−0.0811638
$962$	60.4586	+	9.35261i	1.94926	+	0.301540i
$963$	3.23752	−	9.22846i	0.104328	−	0.297383i
$964$	37.0901	−	19.2361i	1.19459	−	0.619554i
$965$	34.1492	+	22.8178i	1.09930	+	0.734531i
$966$	−3.87305	+	1.48017i	−0.124613	+	0.0476237i
$967$	−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
$969$	−16.5318	−	49.5260i	−0.531079	−	1.59100i
$970$	−3.83253	−	3.51724i	−0.123055	−	0.112932i
$971$	7.93034	+	39.8685i	0.254497	+	1.27944i	0.870684	+	0.491842i	$0.163676\pi$
$971$	7.93034	+	39.8685i	0.254497	+	1.27944i	−0.616188	+	0.787599i	$0.711324\pi$
$972$	−23.5445	+	20.4367i	−0.755189	+	0.655507i
$973$	−15.8998	−	23.7957i	−0.509723	−	0.762855i
$974$	9.46909	+	38.8250i	0.303409	+	1.24403i
$975$	28.8340	+	2.03697i	0.923428	+	0.0652352i
$976$	9.04822	+	9.50972i	0.289627	+	0.304399i
$977$	−24.9188	+	24.9188i	−0.797223	+	0.797223i	−0.982657	−	0.185434i	$-0.940631\pi$
$977$	−24.9188	+	24.9188i	−0.797223	+	0.797223i	0.185434	+	0.982657i	$0.440631\pi$
$978$	−25.0239	+	4.26188i	−0.800175	+	0.136280i
$979$	0.795343	+	1.19031i	0.0254193	+	0.0380426i
$980$	−28.6375	−	3.18046i	−0.914791	−	0.101596i
$981$	−1.87889	−	33.9450i	−0.0599884	−	1.08378i
$982$	2.21008	+	51.5195i	0.0705265	+	1.64405i
$983$	−14.4117	+	34.7930i	−0.459663	+	1.10972i	0.508871	+	0.860843i	$0.330063\pi$
$983$	−14.4117	+	34.7930i	−0.459663	+	1.10972i	−0.968534	+	0.248882i	$0.919937\pi$
$984$	−16.8385	−	5.85451i	−0.536792	−	0.186635i
$985$	9.33917	+	22.5467i	0.297571	+	0.718399i
$986$	−7.83836	−	16.8429i	−0.249624	−	0.536387i
$987$	1.96858	−	0.249006i	0.0626605	−	0.00792594i
$988$	25.4748	−	30.2659i	0.810460	−	0.962887i
$989$	−14.8641	−	2.95666i	−0.472651	−	0.0940162i
$990$	−6.64460	+	3.55154i	−0.211179	+	0.112875i
$991$	−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
$996$	−29.9179	−	29.0210i	−0.947984	−	0.919565i
$997$	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
$999$	35.5873	+	24.5709i	1.12593	+	0.777390i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.216199 - 1.39759i) q^{2} +(0.858398 + 1.50438i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(2.38253 + 1.59195i) q^{5} +(2.28809 - 0.874443i) q^{6} +(0.537426 + 1.29746i) q^{7} +(-1.25677 + 2.53387i) q^{8} +(-1.52631 + 2.58271i) q^{9} +O(q^{10})\)	\(q+(0.216199 - 1.39759i) q^{2} +(0.858398 + 1.50438i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(2.38253 + 1.59195i) q^{5} +(2.28809 - 0.874443i) q^{6} +(0.537426 + 1.29746i) q^{7} +(-1.25677 + 2.53387i) q^{8} +(-1.52631 + 2.58271i) q^{9} +(2.74000 - 2.98562i) q^{10} +(0.120905 + 0.607832i) q^{11} +(-0.727429 - 3.38686i) q^{12} +(-2.88773 - 4.32179i) q^{13} +(1.92951 - 0.470591i) q^{14} +(-0.349744 + 4.95075i) q^{15} +(3.26960 + 2.30428i) q^{16} +(5.60131 - 5.60131i) q^{17} +(3.27958 + 2.69153i) q^{18} +(-2.11420 - 3.16413i) q^{19} +(-3.58028 - 4.47489i) q^{20} +(-1.49055 + 1.92223i) q^{21} +(0.875639 - 0.0375631i) q^{22} +(-0.461255 + 1.11357i) q^{23} +(-4.89072 + 0.284410i) q^{24} +(1.22871 + 2.96636i) q^{25} +(-6.66442 + 3.10149i) q^{26} +(-5.19555 - 0.0791493i) q^{27} +(-0.240534 - 2.79840i) q^{28} +(1.62645 + 0.323522i) q^{29} +(6.84351 + 1.55915i) 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} +(4.47070 - 4.00160i) q^{36} +(-6.92002 - 4.62381i) q^{37} +(-4.87925 + 2.27071i) q^{38} +(4.02279 - 8.05406i) q^{39} +(-7.02811 + 4.03630i) q^{40} +(3.36197 + 1.39257i) q^{41} +(2.36423 + 2.49876i) q^{42} +(2.45301 + 12.3321i) q^{43} +(0.136815 - 1.23191i) q^{44} +(-7.74802 + 3.72357i) q^{45} +(1.45659 + 0.885398i) q^{46} +(-0.576826 - 0.576826i) q^{47} +(-0.659882 + 6.89671i) q^{48} +(3.55517 - 3.55517i) q^{49} +(4.41140 - 1.07590i) q^{50} +(13.2346 + 3.61833i) q^{51} +(2.89377 + 9.98467i) q^{52} +(-6.93876 + 1.38020i) q^{53} +(-1.23389 + 7.24414i) q^{54} +(-0.679580 + 1.64065i) q^{55} +(-3.96302 - 0.268845i) q^{56} +(2.94522 - 5.89664i) q^{57} +(0.803789 - 2.20317i) q^{58} +(1.57936 - 2.36368i) q^{59} +(3.65861 - 9.22733i) 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} +(0.808156 + 1.28505i) q^{66} +(-1.03306 + 5.19352i) q^{67} +(-14.0639 + 7.29402i) q^{68} +(-2.07117 + 0.261982i) q^{69} +(5.34627 + 1.95050i) q^{70} +(-4.85279 + 2.01009i) q^{71} +(-4.62604 - 7.11335i) q^{72} +(2.50182 + 1.03629i) q^{73} +(-7.95829 + 8.67168i) q^{74} +(-3.40780 + 4.39475i) q^{75} +(2.11863 + 7.31011i) q^{76} +(-0.723660 + 0.483534i) q^{77} +(-10.3865 - 7.36349i) q^{78} +(-6.29584 - 6.29584i) q^{79} +(4.12162 + 10.6951i) q^{80} +(-4.34078 - 7.88401i) q^{81} +(2.67310 - 4.39758i) q^{82} +(10.0044 - 6.68475i) q^{83} +(4.00338 - 2.76400i) q^{84} +(22.2623 - 4.42825i) q^{85} +(17.7656 - 0.762107i) q^{86} +(0.909445 + 2.72451i) q^{87} +(-1.69212 - 0.457548i) q^{88} +(2.13413 - 0.883987i) q^{89} +(3.52890 + 11.6336i) q^{90} +(4.05542 - 6.06936i) q^{91} +(1.55234 - 1.84429i) q^{92} +(-4.58130 - 8.02891i) q^{93} +(-0.930876 + 0.681457i) q^{94} -10.9043i q^{95} +(9.49610 + 2.41331i) q^{96} -1.28366i q^{97} +(-4.20004 - 5.73730i) q^{98} +(-1.75439 - 0.615474i) 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

Introduction

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