LMFDB - Embedded newform 96.2.o.a.35.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [96,2,Mod(11,96)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(96, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 5, 4]))

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

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

chi := DirichletCharacter("96.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 96 = 2^{5} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	96.o (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.766563859404$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			35.8
Character	$\chi$	$=$	96.35
Dual form			96.2.o.a.11.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.310967 + 1.37960i) q^{2} +(0.988287 + 1.42242i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(2.70066 - 1.11865i) q^{5} +(-1.65505 + 1.80577i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(-1.74552 - 2.22557i) q^{8} +(-1.04658 + 2.81152i) q^{9} +O(q^{10})$	\(q+(0.310967 + 1.37960i) q^{2} +(0.988287 + 1.42242i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(2.70066 - 1.11865i) q^{5} +(-1.65505 + 1.80577i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(-1.74552 - 2.22557i) q^{8} +(-1.04658 + 2.81152i) q^{9} +(2.38311 + 3.37797i) q^{10} +(-0.276697 + 0.114612i) q^{11} +(-3.00591 - 1.72178i) q^{12} +(-0.155281 + 0.374881i) q^{13} +(3.50730 - 5.54851i) q^{14} +(4.26022 + 2.73593i) q^{15} +(2.52760 - 3.10020i) q^{16} +1.41723 q^{17} +(-4.20423 - 0.569569i) q^{18} +(-2.51972 - 1.04370i) q^{19} +(-3.91918 + 4.33817i) q^{20} +(1.42485 - 7.91204i) q^{21} +(-0.244162 - 0.346091i) q^{22} +(3.30034 + 3.30034i) q^{23} +(1.44063 - 4.68237i) q^{24} +(2.50664 - 2.50664i) q^{25} +(-0.565473 - 0.0976497i) q^{26} +(-5.03350 + 1.28991i) q^{27} +(8.74538 + 3.11326i) q^{28} +(0.650676 - 1.57087i) q^{29} +(-2.44971 + 6.72819i) q^{30} +4.16702i q^{31} +(5.06304 + 2.52301i) q^{32} +(-0.436482 - 0.280311i) q^{33} +(0.440711 + 1.95521i) q^{34} +(-12.5351 - 5.19221i) q^{35} +(-0.521602 - 5.97728i) q^{36} +(-2.82757 - 6.82635i) q^{37} +(0.656341 - 3.80076i) q^{38} +(-0.686701 + 0.149615i) q^{39} +(-7.20368 - 4.05787i) q^{40} +(-3.81949 + 3.81949i) q^{41} +(11.3585 - 0.494656i) q^{42} +(2.07136 + 5.00071i) q^{43} +(0.401541 - 0.444469i) q^{44} +(0.318658 + 8.76372i) q^{45} +(-3.52686 + 5.57945i) q^{46} -5.44085i q^{47} +(6.90779 + 0.531426i) q^{48} +14.5435i q^{49} +(4.23765 + 2.67868i) q^{50} +(1.40063 + 2.01590i) q^{51} +(-0.0411259 - 0.810493i) q^{52} +(1.85159 + 4.47012i) q^{53} +(-3.34482 - 6.54310i) q^{54} +(-0.619053 + 0.619053i) q^{55} +(-1.57553 + 13.0333i) q^{56} +(-1.00562 - 4.61558i) q^{57} +(2.36951 + 0.409184i) q^{58} +(1.37699 + 3.32434i) q^{59} +(-10.0440 - 1.28738i) q^{60} +(-10.9629 - 4.54098i) q^{61} +(-5.74883 + 1.29581i) q^{62} +(12.6624 - 5.79262i) q^{63} +(-1.90631 + 7.76955i) q^{64} +1.18613i q^{65} +(0.250986 - 0.689338i) q^{66} +(4.19888 - 10.1370i) q^{67} +(-2.56036 + 1.21601i) q^{68} +(-1.43280 + 7.95617i) q^{69} +(3.26517 - 18.9080i) q^{70} +(-3.77857 + 3.77857i) q^{71} +(8.08407 - 2.57834i) q^{72} +(-3.89137 - 3.89137i) q^{73} +(8.53836 - 6.02369i) q^{74} +(6.04279 + 1.08823i) q^{75} +(5.44763 - 0.276423i) q^{76} +(1.28429 + 0.531970i) q^{77} +(-0.419950 - 0.900848i) q^{78} +4.81995 q^{79} +(3.35814 - 11.2001i) q^{80} +(-6.80935 - 5.88497i) q^{81} +(-6.45711 - 4.08164i) q^{82} +(3.60399 - 8.70081i) q^{83} +(4.21456 + 15.5164i) q^{84} +(3.82744 - 1.58538i) q^{85} +(-6.25486 + 4.41271i) q^{86} +(2.87750 - 0.626933i) q^{87} +(0.738056 + 0.415751i) q^{88} +(3.69926 + 3.69926i) q^{89} +(-11.9913 + 3.16485i) q^{90} +(1.74001 - 0.720735i) q^{91} +(-8.79416 - 3.13063i) q^{92} +(-5.92727 + 4.11821i) q^{93} +(7.50620 - 1.69193i) q^{94} -7.97242 q^{95} +(1.41494 + 9.69525i) q^{96} +10.9958 q^{97} +(-20.0643 + 4.52256i) q^{98} +(-0.0326483 - 0.897890i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{3}{8}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.310967	+	1.37960i	0.219887	+	0.975525i
$2$	0.310967	+	1.37960i	0.219887	+	0.975525i
$3$	0.988287	+	1.42242i	0.570588	+	0.821237i
$3$	0.988287	+	1.42242i	0.570588	+	0.821237i
$4$	−1.80660	+	0.858022i	−0.903299	+	0.429011i
$5$	2.70066	−	1.11865i	1.20777	−	0.500275i	0.314269	−	0.949334i	$-0.398241\pi$
$5$	2.70066	−	1.11865i	1.20777	−	0.500275i	0.893502	+	0.449059i	$0.148241\pi$
$6$	−1.65505	+	1.80577i	−0.675672	+	0.737202i
$7$	−3.28204	−	3.28204i	−1.24049	−	1.24049i	−0.959797	−	0.280697i	$-0.909435\pi$
$7$	−3.28204	−	3.28204i	−1.24049	−	1.24049i	−0.280697	−	0.959797i	$-0.590565\pi$
$8$	−1.74552	−	2.22557i	−0.617135	−	0.786857i
$9$	−1.04658	+	2.81152i	−0.348860	+	0.937175i
$10$	2.38311	+	3.37797i	0.753604	+	1.06821i
$11$	−0.276697	+	0.114612i	−0.0834272	+	0.0345567i	−0.424007	−	0.905659i	$-0.639377\pi$
$11$	−0.276697	+	0.114612i	−0.0834272	+	0.0345567i	0.340580	+	0.940216i	$0.389377\pi$
$12$	−3.00591	−	1.72178i	−0.867731	−	0.497034i
$13$	−0.155281	+	0.374881i	−0.0430671	+	0.103973i	−0.943949	−	0.330091i	$-0.892921\pi$
$13$	−0.155281	+	0.374881i	−0.0430671	+	0.103973i	0.900882	+	0.434064i	$0.142921\pi$
$14$	3.50730	−	5.54851i	0.937364	−	1.48290i
$15$	4.26022	+	2.73593i	1.09998	+	0.706415i
$16$	2.52760	−	3.10020i	0.631899	−	0.775050i
$17$	1.41723			0.343728			0.171864	−	0.985121i	$-0.445021\pi$
$17$	1.41723			0.343728			0.171864	+	0.985121i	$0.445021\pi$
$18$	−4.20423	−	0.569569i	−0.990948	−	0.134249i
$19$	−2.51972	−	1.04370i	−0.578062	−	0.239441i	0.0744431	−	0.997225i	$-0.476282\pi$
$19$	−2.51972	−	1.04370i	−0.578062	−	0.239441i	−0.652506	+	0.757784i	$0.726282\pi$
$20$	−3.91918	+	4.33817i	−0.876355	+	0.970045i
$21$	1.42485	−	7.91204i	0.310929	−	1.72655i
$22$	−0.244162	−	0.346091i	−0.0520555	−	0.0737868i
$23$	3.30034	+	3.30034i	0.688169	+	0.688169i	0.961827	−	0.273658i	$-0.0882337\pi$
$23$	3.30034	+	3.30034i	0.688169	+	0.688169i	−0.273658	+	0.961827i	$0.588234\pi$
$24$	1.44063	−	4.68237i	0.294067	−	0.955785i
$25$	2.50664	−	2.50664i	0.501328	−	0.501328i
$26$	−0.565473	−	0.0976497i	−0.110898	−	0.0191507i
$27$	−5.03350	+	1.28991i	−0.968698	+	0.248244i
$28$	8.74538	+	3.11326i	1.65272	+	0.588352i
$29$	0.650676	−	1.57087i	0.120827	−	0.291703i	−0.851880	−	0.523736i	$-0.824538\pi$
$29$	0.650676	−	1.57087i	0.120827	−	0.291703i	0.972708	+	0.232033i	$0.0745377\pi$
$30$	−2.44971	+	6.72819i	−0.447254	+	1.22839i
$31$			4.16702i			0.748419i	0.927344	+	0.374209i	$0.122086\pi$
$31$			4.16702i			0.748419i	−0.927344	+	0.374209i	$0.877914\pi$
$32$	5.06304	+	2.52301i	0.895028	+	0.446010i
$33$	−0.436482	−	0.280311i	−0.0759817	−	0.0487959i
$34$	0.440711	+	1.95521i	0.0755814	+	0.335315i
$35$	−12.5351	−	5.19221i	−2.11882	−	0.877644i
$36$	−0.521602	−	5.97728i	−0.0869336	−	0.996214i
$37$	−2.82757	−	6.82635i	−0.464849	−	1.12225i	−0.966383	−	0.257107i	$-0.917231\pi$
$37$	−2.82757	−	6.82635i	−0.464849	−	1.12225i	0.501534	−	0.865138i	$-0.332769\pi$
$38$	0.656341	−	3.80076i	0.106473	−	0.616565i
$39$	−0.686701	+	0.149615i	−0.109960	+	0.0239575i
$40$	−7.20368	−	4.05787i	−1.13900	−	0.641606i
$41$	−3.81949	+	3.81949i	−0.596504	+	0.596504i	−0.939380	−	0.342877i	$-0.888599\pi$
$41$	−3.81949	+	3.81949i	−0.596504	+	0.596504i	0.342877	+	0.939380i	$0.388599\pi$
$42$	11.3585	−	0.494656i	1.75266	−	0.0763271i
$43$	2.07136	+	5.00071i	0.315880	+	0.762602i	0.999464	+	0.0327301i	$0.0104202\pi$
$43$	2.07136	+	5.00071i	0.315880	+	0.762602i	−0.683584	+	0.729872i	$0.739580\pi$
$44$	0.401541	−	0.444469i	0.0605345	−	0.0670062i
$45$	0.318658	+	8.76372i	0.0475028	+	1.30642i
$46$	−3.52686	+	5.57945i	−0.520007	+	0.822645i
$47$		−	5.44085i		−	0.793629i	−0.917899	−	0.396815i	$-0.870116\pi$
$47$		−	5.44085i		−	0.793629i	0.917899	−	0.396815i	$-0.129884\pi$
$48$	6.90779	+	0.531426i	0.997054	+	0.0767048i
$49$			14.5435i			2.07765i
$50$	4.23765	+	2.67868i	0.599294	+	0.378823i
$51$	1.40063	+	2.01590i	0.196127	+	0.282282i
$52$	−0.0411259	−	0.810493i	−0.00570314	−	0.112395i
$53$	1.85159	+	4.47012i	0.254335	+	0.614019i	0.998545	−	0.0539269i	$-0.0171738\pi$
$53$	1.85159	+	4.47012i	0.254335	+	0.614019i	−0.744210	+	0.667946i	$0.767174\pi$
$54$	−3.34482	−	6.54310i	−0.455172	−	0.890403i
$55$	−0.619053	+	0.619053i	−0.0834731	+	0.0834731i
$56$	−1.57553	+	13.0333i	−0.210540	+	1.74164i
$57$	−1.00562	−	4.61558i	−0.133197	−	0.611348i
$58$	2.36951	+	0.409184i	0.311132	+	0.0537284i
$59$	1.37699	+	3.32434i	0.179268	+	0.432792i	0.987814	−	0.155642i	$-0.0497447\pi$
$59$	1.37699	+	3.32434i	0.179268	+	0.432792i	−0.808545	+	0.588434i	$0.799745\pi$
$60$	−10.0440	−	1.28738i	−1.29667	−	0.166199i
$61$	−10.9629	−	4.54098i	−1.40366	−	0.581413i	−0.452958	−	0.891532i	$-0.649631\pi$
$61$	−10.9629	−	4.54098i	−1.40366	−	0.581413i	−0.950698	+	0.310119i	$0.899631\pi$
$62$	−5.74883	+	1.29581i	−0.730102	+	0.164568i
$63$	12.6624	−	5.79262i	1.59532	−	0.729801i
$64$	−1.90631	+	7.76955i	−0.238289	+	0.971194i
$65$			1.18613i			0.147121i
$66$	0.250986	−	0.689338i	0.0308942	−	0.0848517i
$67$	4.19888	−	10.1370i	0.512974	−	1.23843i	−0.429170	−	0.903224i	$-0.641194\pi$
$67$	4.19888	−	10.1370i	0.512974	−	1.23843i	0.942145	−	0.335206i	$-0.108806\pi$
$68$	−2.56036	+	1.21601i	−0.310489	+	0.147463i
$69$	−1.43280	+	7.95617i	−0.172489	+	0.957810i
$70$	3.26517	−	18.9080i	0.390263	−	2.25994i
$71$	−3.77857	+	3.77857i	−0.448434	+	0.448434i	−0.894834	−	0.446400i	$-0.852706\pi$
$71$	−3.77857	+	3.77857i	−0.448434	+	0.448434i	0.446400	+	0.894834i	$0.352706\pi$
$72$	8.08407	−	2.57834i	0.952717	−	0.303861i
$73$	−3.89137	−	3.89137i	−0.455450	−	0.455450i	0.441708	−	0.897159i	$-0.354373\pi$
$73$	−3.89137	−	3.89137i	−0.455450	−	0.455450i	−0.897159	+	0.441708i	$0.854373\pi$
$74$	8.53836	−	6.02369i	0.992564	−	0.700239i
$75$	6.04279	+	1.08823i	0.697761	+	0.125657i
$76$	5.44763	−	0.276423i	0.624886	−	0.0317079i
$77$	1.28429	+	0.531970i	0.146358	+	0.0606236i
$78$	−0.419950	−	0.900848i	−0.0475500	−	0.102001i
$79$	4.81995			0.542287			0.271143	−	0.962539i	$-0.412598\pi$
$79$	4.81995			0.542287			0.271143	+	0.962539i	$0.412598\pi$
$80$	3.35814	−	11.2001i	0.375451	−	1.25221i
$81$	−6.80935	−	5.88497i	−0.756594	−	0.653885i
$82$	−6.45711	−	4.08164i	−0.713068	−	0.450741i
$83$	3.60399	−	8.70081i	0.395590	−	0.955038i	−0.593109	−	0.805122i	$-0.702100\pi$
$83$	3.60399	−	8.70081i	0.395590	−	0.955038i	0.988699	−	0.149916i	$-0.0479003\pi$
$84$	4.21456	+	15.5164i	0.459847	+	1.69298i
$85$	3.82744	−	1.58538i	0.415145	−	0.171959i
$86$	−6.25486	+	4.41271i	−0.674479	+	0.475835i
$87$	2.87750	−	0.626933i	0.308500	−	0.0672143i
$88$	0.738056	+	0.415751i	0.0786770	+	0.0443192i
$89$	3.69926	+	3.69926i	0.392121	+	0.392121i	0.875443	−	0.483322i	$-0.160570\pi$
$89$	3.69926	+	3.69926i	0.392121	+	0.392121i	−0.483322	+	0.875443i	$0.660570\pi$
$90$	−11.9913	+	3.16485i	−1.26400	+	0.333605i
$91$	1.74001	−	0.720735i	0.182402	−	0.0755536i
$92$	−8.79416	−	3.13063i	−0.916854	−	0.326390i
$93$	−5.92727	+	4.11821i	−0.614629	+	0.427039i
$94$	7.50620	−	1.69193i	0.774206	−	0.174509i
$95$	−7.97242			−0.817953
$96$	1.41494	+	9.69525i	0.144412	+	0.989518i
$97$	10.9958			1.11646			0.558229	−	0.829687i	$-0.311481\pi$
$97$	10.9958			1.11646			0.558229	+	0.829687i	$0.311481\pi$
$98$	−20.0643	+	4.52256i	−2.02680	+	0.456848i
$99$	−0.0326483	−	0.897890i	−0.00328127	−	0.0902413i
$100$	−2.37774	+	6.67925i	−0.237774	+	0.667925i
$101$	2.51499	−	1.04174i	0.250251	−	0.103657i	−0.254032	−	0.967196i	$-0.581757\pi$
$101$	2.51499	−	1.04174i	0.250251	−	0.103657i	0.504283	+	0.863538i	$0.331757\pi$
$102$	−2.34558	+	2.55918i	−0.232248	+	0.253397i
$103$	−0.332885	−	0.332885i	−0.0328001	−	0.0328001i	0.690517	−	0.723317i	$-0.257383\pi$
$103$	−0.332885	−	0.332885i	−0.0328001	−	0.0328001i	−0.723317	+	0.690517i	$0.757383\pi$
$104$	1.10537	−	0.308774i	0.108390	−	0.0302778i
$105$	−5.00275	−	22.9616i	−0.488219	−	2.24082i
$106$	−5.59121	+	3.94451i	−0.543066	+	0.383125i
$107$	−0.394269	+	0.163312i	−0.0381154	+	0.0157879i	−0.401660	−	0.915789i	$-0.631567\pi$
$107$	−0.394269	+	0.163312i	−0.0381154	+	0.0157879i	0.363544	+	0.931577i	$0.381567\pi$
$108$	7.98674	−	6.64921i	0.768524	−	0.639820i
$109$	1.81782	−	4.38860i	0.174115	−	0.420352i	−0.812598	−	0.582825i	$-0.801947\pi$
$109$	1.81782	−	4.38860i	0.174115	−	0.420352i	0.986713	+	0.162474i	$0.0519472\pi$
$110$	−1.04655	−	0.661541i	−0.0997848	−	0.0630755i
$111$	6.91552	−	10.7684i	0.656392	−	1.02209i
$112$	−18.4706	+	1.87931i	−1.74531	+	0.177578i
$113$	18.5323			1.74337			0.871687	−	0.490063i	$-0.163026\pi$
$113$	18.5323			1.74337			0.871687	+	0.490063i	$0.163026\pi$
$114$	6.05494	−	2.82264i	0.567097	−	0.264365i
$115$	12.6050	+	5.22117i	1.17542	+	0.486876i
$116$	0.172331	+	3.39623i	0.0160005	+	0.315332i
$117$	−0.891473	−	0.828917i	−0.0824167	−	0.0766334i
$118$	−4.15806	+	2.93345i	−0.382781	+	0.270046i
$119$	−4.65139	−	4.65139i	−0.426392	−	0.426392i
$120$	−1.34729	−	14.2570i	−0.122990	−	1.30148i
$121$	−7.71475	+	7.71475i	−0.701341	+	0.701341i
$122$	2.85564	−	16.5365i	0.258538	−	1.49715i
$123$	−9.20768	−	1.65818i	−0.830229	−	0.149513i
$124$	−3.57539	−	7.52813i	−0.321080	−	0.676046i
$125$	−1.62772	+	3.92966i	−0.145587	+	0.351479i
$126$	11.9291	+	15.6678i	1.06273	+	1.39580i
$127$			4.80013i			0.425943i	0.977058	+	0.212971i	$0.0683141\pi$
$127$			4.80013i			0.425943i	−0.977058	+	0.212971i	$0.931686\pi$
$128$	−11.3117	−	0.213874i	−0.999821	−	0.0189040i
$129$	−5.06603	+	7.88850i	−0.446039	+	0.694543i
$130$	−1.63638	+	0.368847i	−0.143520	+	0.0323500i
$131$	20.2118	+	8.37202i	1.76592	+	0.731467i	0.995589	+	0.0938185i	$0.0299073\pi$
$131$	20.2118	+	8.37202i	1.76592	+	0.731467i	0.770328	+	0.637648i	$0.220093\pi$
$132$	1.02906	+	0.131898i	0.0895682	+	0.0114803i
$133$	4.84434	+	11.6953i	0.420057	+	1.01411i
$134$	15.2907	+	2.64050i	1.32092	+	0.228105i
$135$	−12.1508	+	9.11434i	−1.04577	+	0.784437i
$136$	−2.47380	−	3.15414i	−0.212127	−	0.270465i
$137$	−12.7302	+	12.7302i	−1.08762	+	1.08762i	−0.0918436	+	0.995773i	$0.529276\pi$
$137$	−12.7302	+	12.7302i	−1.08762	+	1.08762i	−0.995773	+	0.0918436i	$0.970724\pi$
$138$	−11.4219	+	0.497415i	−0.972296	+	0.0423428i
$139$	0.193431	+	0.466984i	0.0164066	+	0.0396091i	0.931871	−	0.362791i	$-0.118176\pi$
$139$	0.193431	+	0.466984i	0.0164066	+	0.0396091i	−0.915464	+	0.402400i	$0.868176\pi$
$140$	27.1009	−	1.37515i	2.29045	−	0.116222i
$141$	7.73919	−	5.37712i	0.651758	−	0.452835i
$142$	−6.38793	−	4.03791i	−0.536063	−	0.338854i
$143$		−	0.121525i		−	0.0101624i
$144$	6.07097	+	10.3510i	0.505914	+	0.862584i
$145$		−	4.97026i		−	0.412758i
$146$	4.15845	−	6.57862i	0.344156	−	0.544451i
$147$	−20.6871	+	14.3732i	−1.70624	+	1.18548i
$148$	10.9654	+	9.90636i	0.901353	+	0.814298i
$149$	−4.31949	−	10.4282i	−0.353866	−	0.854308i	−0.996136	−	0.0878294i	$-0.972007\pi$
$149$	−4.31949	−	10.4282i	−0.353866	−	0.854308i	0.642269	−	0.766479i	$-0.277993\pi$
$150$	0.377791	+	8.67504i	0.0308465	+	0.708314i
$151$	−13.7687	+	13.7687i	−1.12048	+	1.12048i	−0.128814	+	0.991669i	$0.541117\pi$
$151$	−13.7687	+	13.7687i	−1.12048	+	1.12048i	−0.991669	+	0.128814i	$0.958883\pi$
$152$	2.07539	+	7.42960i	0.168336	+	0.602620i
$153$	−1.48324	+	3.98457i	−0.119913	+	0.322133i
$154$	−0.334534	+	1.93723i	−0.0269575	+	0.156106i
$155$	4.66143	+	11.2537i	0.374415	+	0.903918i
$156$	1.11222	−	0.859498i	0.0890489	−	0.0688149i
$157$	7.94660	+	3.29159i	0.634208	+	0.262697i	0.676540	−	0.736406i	$-0.263479\pi$
$157$	7.94660	+	3.29159i	0.634208	+	0.262697i	−0.0423321	+	0.999104i	$0.513479\pi$
$158$	1.49885	+	6.64961i	0.119242	+	0.529015i
$159$	−4.52851	+	7.05151i	−0.359135	+	0.559221i
$160$	16.4959	+	1.15003i	1.30412	+	0.0909180i
$161$		−	21.6637i		−	1.70734i
$162$	6.00142	−	11.2242i	0.471516	−	0.881857i
$163$	4.77631	−	11.5310i	0.374110	−	0.903181i	−0.618935	−	0.785442i	$-0.712435\pi$
$163$	4.77631	−	11.5310i	0.374110	−	0.903181i	0.993045	−	0.117739i	$-0.0375645\pi$
$164$	3.62308	−	10.1775i	0.282915	−	0.794728i
$165$	−1.49236	−	0.268754i	−0.116180	−	0.0209225i
$166$	13.1244	+	2.26641i	1.01865	+	0.175907i
$167$	14.7585	−	14.7585i	1.14205	−	1.14205i	0.153970	−	0.988076i	$-0.450794\pi$
$167$	14.7585	−	14.7585i	1.14205	−	1.14205i	0.988076	−	0.153970i	$-0.0492059\pi$
$168$	−20.0959	+	10.6395i	−1.55043	+	0.820857i
$169$	9.07596	+	9.07596i	0.698151	+	0.698151i
$170$	3.37740	+	4.78734i	0.259035	+	0.367173i
$171$	5.57147	−	5.99193i	0.426061	−	0.458214i
$172$	−8.03284	−	7.25701i	−0.612499	−	0.553342i
$173$	−7.60827	−	3.15145i	−0.578446	−	0.239600i	0.0742253	−	0.997241i	$-0.476352\pi$
$173$	−7.60827	−	3.15145i	−0.578446	−	0.239600i	−0.652671	+	0.757641i	$0.726352\pi$
$174$	1.75973	+	3.77484i	0.133404	+	0.286170i
$175$	−16.4538			−1.24379
$176$	−0.344059	+	1.14751i	−0.0259344	+	0.0864966i
$177$	−3.36776	+	5.24406i	−0.253136	+	0.394167i
$178$	−3.95316	+	6.25386i	−0.296302	+	0.468747i
$179$	1.38731	−	3.34926i	0.103692	−	0.250335i	−0.863515	−	0.504323i	$-0.831742\pi$
$179$	1.38731	−	3.34926i	0.103692	−	0.250335i	0.967208	+	0.253987i	$0.0817422\pi$
$180$	−8.09515	−	15.5591i	−0.603377	−	1.15971i
$181$	6.51464	−	2.69845i	0.484229	−	0.200574i	−0.127194	−	0.991878i	$-0.540597\pi$
$181$	6.51464	−	2.69845i	0.484229	−	0.200574i	0.611424	+	0.791303i	$0.290597\pi$
$182$	1.53541	+	2.17639i	0.113812	+	0.161325i
$183$	−4.37529	−	20.0817i	−0.323431	−	1.48448i
$184$	1.58432	−	13.1060i	0.116798	−	0.966184i
$185$	−15.2726	−	15.2726i	−1.12286	−	1.12286i
$186$	−7.52467	−	6.89664i	−0.551736	−	0.505686i
$187$	−0.392142	+	0.162431i	−0.0286763	+	0.0118781i
$188$	4.66837	+	9.82943i	0.340476	+	0.716885i
$189$	20.7537	+	12.2866i	1.50961	+	0.893718i
$190$	−2.47916	−	10.9988i	−0.179857	−	0.797934i
$191$	−18.8097			−1.36102			−0.680511	−	0.732737i	$-0.738242\pi$
$191$	−18.8097			−1.36102			−0.680511	+	0.732737i	$0.738242\pi$
$192$	−12.9356	+	4.96696i	−0.933545	+	0.358460i
$193$	−11.1498			−0.802582			−0.401291	−	0.915951i	$-0.631438\pi$
$193$	−11.1498			−0.802582			−0.401291	+	0.915951i	$0.631438\pi$
$194$	3.41935	+	15.1699i	0.245495	+	1.08913i
$195$	−1.68718	+	1.17224i	−0.120821	+	0.0839455i
$196$	−12.4787	−	26.2743i	−0.891333	−	1.87674i
$197$	−14.7643	+	6.11558i	−1.05191	+	0.435717i	−0.840575	−	0.541696i	$-0.817783\pi$
$197$	−14.7643	+	6.11558i	−1.05191	+	0.435717i	−0.211340	+	0.977413i	$0.567783\pi$
$198$	1.22858	−	0.324256i	0.0873112	−	0.0230439i
$199$	0.686194	+	0.686194i	0.0486430	+	0.0486430i	0.731010	−	0.682367i	$-0.239049\pi$
$199$	0.686194	+	0.686194i	0.0486430	+	0.0486430i	−0.682367	+	0.731010i	$0.739049\pi$
$200$	−9.95410	−	1.20331i	−0.703861	−	0.0850867i
$201$	18.5688	−	4.04566i	1.30974	−	0.285359i
$202$	2.21927	+	3.14574i	0.156147	+	0.221333i
$203$	−7.29119	+	3.02011i	−0.511742	+	0.211970i
$204$	−4.26005	−	2.44015i	−0.298263	−	0.170845i
$205$	−6.04246	+	14.5878i	−0.422024	+	1.01886i
$206$	0.355732	−	0.562765i	0.0247850	−	0.0392097i
$207$	−12.7331	+	5.82492i	−0.885009	+	0.404860i
$208$	0.769719	+	1.42895i	0.0533704	+	0.0990798i
$209$	0.816817			0.0565004
$210$	30.1222	−	14.0421i	2.07863	−	0.968998i
$211$	2.25868	+	0.935575i	0.155494	+	0.0644076i	0.459073	−	0.888399i	$-0.348182\pi$
$211$	2.25868	+	0.935575i	0.155494	+	0.0644076i	−0.303579	+	0.952806i	$0.598182\pi$
$212$	−7.18054	−	6.48702i	−0.493161	−	0.445530i
$213$	−9.10904	−	1.64042i	−0.624141	−	0.112400i
$214$	−0.347910	−	0.493149i	−0.0237826	−	0.0337110i
$215$	11.1881	+	11.1881i	0.763021	+	0.763021i
$216$	11.6569	+	8.95083i	0.793150	+	0.609027i
$217$	13.6763	−	13.6763i	0.928409	−	0.928409i
$218$	6.61980	+	1.14315i	0.448349	+	0.0774240i
$219$	1.68939	−	9.38096i	0.114158	−	0.633907i
$220$	0.587219	−	1.64954i	0.0395903	−	0.111212i
$221$	−0.220068	+	0.531291i	−0.0148034	+	0.0357385i
$222$	17.0066	+	6.19204i	1.14141	+	0.415582i
$223$		−	10.3472i		−	0.692900i	−0.938068	−	0.346450i	$-0.887387\pi$
$223$		−	10.3472i		−	0.692900i	0.938068	−	0.346450i	$-0.112613\pi$
$224$	−8.33646	−	24.8977i	−0.557003	−	1.66355i
$225$	4.42409	+	9.67088i	0.294939	+	0.644725i
$226$	5.76294	+	25.5672i	0.383345	+	1.70071i
$227$	−10.4804	−	4.34114i	−0.695611	−	0.288131i	0.00672494	−	0.999977i	$-0.497859\pi$
$227$	−10.4804	−	4.34114i	−0.695611	−	0.288131i	−0.702336	+	0.711846i	$0.747859\pi$
$228$	5.77701	+	7.47566i	0.382592	+	0.495087i
$229$	−7.39471	−	17.8524i	−0.488656	−	1.17972i	−0.955396	−	0.295326i	$-0.904572\pi$
$229$	−7.39471	−	17.8524i	−0.488656	−	1.17972i	0.466740	−	0.884395i	$-0.345428\pi$
$230$	−3.28338	+	19.0135i	−0.216500	+	1.25371i
$231$	0.512559	+	2.35254i	0.0337239	+	0.154786i
$232$	−4.63185	+	1.29386i	−0.304096	+	0.0849463i
$233$	15.9703	−	15.9703i	1.04625	−	1.04625i	0.0473714	−	0.998877i	$-0.484916\pi$
$233$	15.9703	−	15.9703i	1.04625	−	1.04625i	0.998877	−	0.0473714i	$-0.0150844\pi$
$234$	0.866357	−	1.48764i	0.0566355	−	0.0972503i
$235$	−6.08640	−	14.6939i	−0.397033	−	0.958522i
$236$	−5.34001	−	4.82426i	−0.347605	−	0.314033i
$237$	4.76349	+	6.85601i	0.309422	+	0.445346i
$238$	4.97063	−	7.86349i	0.322198	−	0.509715i
$239$			22.5155i			1.45641i	0.685361	+	0.728204i	$0.259645\pi$
$239$			22.5155i			1.45641i	−0.685361	+	0.728204i	$0.740355\pi$
$240$	19.2501	−	6.29219i	1.24259	−	0.406159i
$241$		−	21.7886i		−	1.40353i	−0.712409	−	0.701765i	$-0.752396\pi$
$241$		−	21.7886i		−	1.40353i	0.712409	−	0.701765i	$-0.247604\pi$
$242$	−13.0423	−	8.24424i	−0.838392	−	0.529960i
$243$	1.64133	−	15.5018i	0.105291	−	0.994441i
$244$	23.7018	−	1.20268i	1.51735	−	0.0769934i
$245$	16.2691	+	39.2771i	1.03939	+	2.50932i
$246$	−0.575659	−	13.2186i	−0.0367027	−	0.842785i
$247$	0.782526	−	0.782526i	0.0497909	−	0.0497909i
$248$	9.27399	−	7.27362i	0.588899	−	0.461875i
$249$	15.9380	−	3.47249i	1.01003	−	0.220060i
$250$	−5.92753	−	1.02361i	−0.374890	−	0.0647385i
$251$	5.96821	+	14.4085i	0.376710	+	0.909458i	0.992578	+	0.121609i	$0.0388054\pi$
$251$	5.96821	+	14.4085i	0.376710	+	0.909458i	−0.615868	+	0.787849i	$0.711195\pi$
$252$	−17.9058	+	21.3296i	−1.12796	+	1.34364i
$253$	−1.29145	−	0.534937i	−0.0811928	−	0.0336312i
$254$	−6.62226	+	1.49268i	−0.415518	+	0.0936593i
$255$	6.03769	+	3.87744i	0.378095	+	0.242815i
$256$	−3.22250	−	15.6721i	−0.201406	−	0.979508i
$257$		−	11.8781i		−	0.740934i	−0.928846	−	0.370467i	$-0.879198\pi$
$257$		−	11.8781i		−	0.740934i	0.928846	−	0.370467i	$-0.120802\pi$
$258$	−12.4583	−	4.53604i	−0.775623	−	0.282402i
$259$	−13.1242	+	31.6845i	−0.815495	+	1.96878i
$260$	−1.01772	−	2.14286i	−0.0631166	−	0.132894i
$261$	3.73556	+	3.47343i	0.231225	+	0.215000i
$262$	−5.26483	+	30.4877i	−0.325262	+	1.88354i
$263$	3.29543	−	3.29543i	0.203205	−	0.203205i	−0.598167	−	0.801372i	$-0.704104\pi$
$263$	3.29543	−	3.29543i	0.203205	−	0.203205i	0.801372	+	0.598167i	$0.204104\pi$
$264$	0.138037	+	1.46071i	0.00849559	+	0.0899004i
$265$	10.0010	+	10.0010i	0.614357	+	0.614357i
$266$	−14.6284	+	10.3201i	−0.896923	+	0.632766i
$267$	−1.60599	+	8.91786i	−0.0982849	+	0.545764i
$268$	1.11207	+	21.9162i	0.0679304	+	1.33874i
$269$	−26.9975	−	11.1827i	−1.64607	−	0.681824i	−0.649180	−	0.760635i	$-0.724888\pi$
$269$	−26.9975	−	11.1827i	−1.64607	−	0.681824i	−0.996890	+	0.0788107i	$0.974888\pi$
$270$	−16.3526	−	13.9290i	−0.995190	−	0.847692i
$271$	3.49827			0.212505			0.106252	−	0.994339i	$-0.466115\pi$
$271$	3.49827			0.212505			0.106252	+	0.994339i	$0.466115\pi$
$272$	3.58218	−	4.39369i	0.217201	−	0.266407i
$273$	2.74482	+	1.76274i	0.166124	+	0.106686i
$274$	−21.5213	−	13.6040i	−1.30015	−	0.821845i
$275$	−0.406289	+	0.980869i	−0.0245002	+	0.0591486i
$276$	−4.23807	−	15.6030i	−0.255102	−	0.939189i
$277$	−10.1905	+	4.22105i	−0.612289	+	0.253619i	−0.667207	−	0.744872i	$-0.732510\pi$
$277$	−10.1905	+	4.22105i	−0.612289	+	0.253619i	0.0549177	+	0.998491i	$0.482510\pi$
$278$	−0.584101	+	0.412075i	−0.0350321	+	0.0247146i
$279$	−11.7157	−	4.36112i	−0.701399	−	0.261093i
$280$	10.3247	+	36.9608i	0.617017	+	2.20883i
$281$	14.1081	+	14.1081i	0.841616	+	0.841616i	0.989069	−	0.147453i	$-0.0471074\pi$
$281$	14.1081	+	14.1081i	0.841616	+	0.841616i	−0.147453	+	0.989069i	$0.547107\pi$
$282$	9.82492	+	9.00489i	0.585065	+	0.536234i
$283$	17.2200	−	7.13275i	1.02362	−	0.423998i	0.193215	−	0.981156i	$-0.438108\pi$
$283$	17.2200	−	7.13275i	1.02362	−	0.423998i	0.830406	+	0.557159i	$0.188108\pi$
$284$	3.58426	−	10.0685i	0.212687	−	0.597453i
$285$	−7.87904	−	11.3402i	−0.466714	−	0.671733i
$286$	0.167656	−	0.0377904i	0.00991372	−	0.00223459i
$287$	25.0714			1.47992
$288$	−12.3924	+	11.5943i	−0.730229	+	0.683203i
$289$	−14.9915			−0.881851
$290$	6.85698	−	1.54559i	0.402655	−	0.0907601i
$291$	10.8670	+	15.6407i	0.637037	+	0.916877i
$292$	10.3690	+	3.69126i	0.606801	+	0.216015i
$293$	21.6538	−	8.96928i	1.26503	−	0.523991i	0.353577	−	0.935405i	$-0.384965\pi$
$293$	21.6538	−	8.96928i	1.26503	−	0.523991i	0.911448	+	0.411414i	$0.134965\pi$
$294$	−26.2622	−	24.0703i	−1.53165	−	1.40381i
$295$	7.43753	+	7.43753i	0.433030	+	0.433030i
$296$	−10.2569	+	18.2085i	−0.596172	+	1.05835i
$297$	1.24491	−	0.933812i	0.0722372	−	0.0541853i
$298$	13.0435	−	9.20199i	0.755589	−	0.533057i
$299$	−1.74971	+	0.724755i	−0.101189	+	0.0419137i
$300$	−11.8506	+	3.21885i	−0.684195	+	0.185841i
$301$	9.61423	−	23.2108i	0.554155	−	1.33785i
$302$	−23.2770	−	14.7137i	−1.33944	−	0.846680i
$303$	3.96733	+	2.54784i	0.227917	+	0.146370i
$304$	−9.60451	+	5.17357i	−0.550856	+	0.296725i
$305$	−34.6868			−1.98616
$306$	−5.95835	−	0.807208i	−0.340616	−	0.0461450i
$307$	−19.7154	−	8.16639i	−1.12522	−	0.466081i	−0.259065	−	0.965860i	$-0.583415\pi$
$307$	−19.7154	−	8.16639i	−1.12522	−	0.466081i	−0.866153	+	0.499779i	$0.833415\pi$
$308$	−2.77663	+	0.140892i	−0.158213	+	0.00802805i
$309$	0.144518	−	0.802489i	0.00822132	−	0.0456520i
$310$	−14.0761	+	9.93045i	−0.799466	+	0.564012i
$311$	10.5699	+	10.5699i	0.599365	+	0.599365i	0.940144	−	0.340779i	$-0.110691\pi$
$311$	10.5699	+	10.5699i	0.599365	+	0.599365i	−0.340779	+	0.940144i	$0.610691\pi$
$312$	1.53163	+	1.26714i	0.0867114	+	0.0717379i
$313$	−24.0589	+	24.0589i	−1.35989	+	1.35989i	−0.485846	+	0.874044i	$0.661489\pi$
$313$	−24.0589	+	24.0589i	−1.35989	+	1.35989i	−0.874044	+	0.485846i	$0.838511\pi$
$314$	−2.06995	+	11.9867i	−0.116814	+	0.676449i
$315$	27.7170	−	29.8087i	1.56168	−	1.67953i
$316$	−8.70772	+	4.13562i	−0.489847	+	0.232647i
$317$	8.93517	−	21.5714i	0.501849	−	1.21157i	−0.446626	−	0.894721i	$-0.647375\pi$
$317$	8.93517	−	21.5714i	0.501849	−	1.21157i	0.948475	−	0.316851i	$-0.102625\pi$
$318$	−11.1365	−	4.05476i	−0.624503	−	0.227379i
$319$			0.509230i			0.0285114i
$320$	3.54310	+	23.1154i	0.198066	+	1.29219i
$321$	−0.621949	−	0.399419i	−0.0347138	−	0.0222934i
$322$	29.8872	−	6.73670i	1.66555	−	0.375421i
$323$	−3.57101	−	1.47916i	−0.198696	−	0.0823027i
$324$	17.3512	+	4.78920i	0.963955	+	0.266067i
$325$	0.550458	+	1.32892i	0.0305339	+	0.0737154i
$326$	17.3935	+	3.00363i	0.963338	+	0.166356i
$327$	8.03897	−	1.75149i	0.444556	−	0.0968575i
$328$	15.1675	+	1.83354i	0.837487	+	0.101240i
$329$	−17.8571	+	17.8571i	−0.984492	+	0.984492i
$330$	−0.0933013	−	2.14243i	−0.00513607	−	0.117937i
$331$	−10.6785	−	25.7802i	−0.586943	−	1.41701i	−0.886411	−	0.462900i	$-0.846809\pi$
$331$	−10.6785	−	25.7802i	−0.586943	−	1.41701i	0.299467	−	0.954107i	$-0.403191\pi$
$332$	0.954515	+	18.8112i	0.0523858	+	1.03240i
$333$	22.1517	−	0.805461i	1.21391	−	0.0441390i
$334$	24.9502	+	15.7714i	1.36522	+	0.862973i
$335$		−	32.0736i		−	1.75237i
$336$	−20.9275	−	24.4158i	−1.14169	−	1.33199i
$337$			7.72298i			0.420698i	0.977626	+	0.210349i	$0.0674600\pi$
$337$			7.72298i			0.420698i	−0.977626	+	0.210349i	$0.932540\pi$
$338$	−9.69888	+	15.3435i	−0.527550	+	0.834579i
$339$	18.3152	+	26.3608i	0.994747	+	1.43172i
$340$	−5.55437	+	6.14817i	−0.301228	+	0.333432i
$341$	−0.477589	−	1.15300i	−0.0258629	−	0.0624385i
$342$	9.99902	+	5.82311i	0.540685	+	0.314878i
$343$	24.7581	−	24.7581i	1.33681	−	1.33681i
$344$	7.51382	−	13.3388i	0.405118	−	0.719181i
$345$	5.03065	+	23.0897i	0.270841	+	1.24311i
$346$	1.98182	−	11.4764i	0.106543	−	0.616973i
$347$	−2.88801	−	6.97227i	−0.155037	−	0.374291i	0.827208	−	0.561896i	$-0.189928\pi$
$347$	−2.88801	−	6.97227i	−0.155037	−	0.374291i	−0.982245	+	0.187604i	$0.939928\pi$
$348$	−4.66056	+	3.60157i	−0.249832	+	0.193065i
$349$	3.70439	+	1.53441i	0.198292	+	0.0821351i	0.479619	−	0.877477i	$-0.340775\pi$
$349$	3.70439	+	1.53441i	0.198292	+	0.0821351i	−0.281328	+	0.959612i	$0.590775\pi$
$350$	−5.11659	−	22.6996i	−0.273493	−	1.21335i
$351$	0.298041	−	2.08726i	0.0159083	−	0.111410i
$352$	−1.69009	−	0.117827i	−0.0900823	−	0.00628019i
$353$			33.0427i			1.75869i	0.476189	+	0.879343i	$0.342018\pi$
$353$			33.0427i			1.75869i	−0.476189	+	0.879343i	$0.657982\pi$
$354$	−8.28197	−	3.01544i	−0.440182	−	0.160269i
$355$	−5.97773	+	14.4315i	−0.317265	+	0.765945i
$356$	−9.85714	−	3.50904i	−0.522427	−	0.185979i
$357$	2.01934	−	11.2132i	0.106875	−	0.593463i
$358$	5.05205	+	0.872422i	0.267009	+	0.0461090i
$359$	1.02805	−	1.02805i	0.0542584	−	0.0542584i	−0.679457	−	0.733715i	$-0.737785\pi$
$359$	1.02805	−	1.02805i	0.0542584	−	0.0542584i	0.733715	+	0.679457i	$0.237785\pi$
$360$	18.9480	−	16.0065i	0.998649	−	0.843614i
$361$	−8.17537	−	8.17537i	−0.430283	−	0.430283i
$362$	5.74863	+	8.14847i	0.302141	+	0.428274i
$363$	−18.5980	−	3.34926i	−0.976143	−	0.175791i
$364$	−2.52509	+	2.79504i	−0.132351	+	0.146500i
$365$	−14.8623	−	6.15618i	−0.777930	−	0.322229i
$366$	26.3441	−	12.2809i	1.37703	−	0.641933i
$367$	11.6801			0.609694			0.304847	−	0.952401i	$-0.401395\pi$
$367$	11.6801			0.609694			0.304847	+	0.952401i	$0.401395\pi$
$368$	18.5737	−	1.88979i	0.968219	−	0.0985121i
$369$	−6.74119	−	14.7360i	−0.350932	−	0.767125i
$370$	16.3208	−	25.8193i	0.848478	−	1.34228i
$371$	8.59414	−	20.7481i	0.446185	−	1.07719i
$372$	7.17468	−	12.5257i	0.371990	−	0.649426i
$373$	−11.6155	+	4.81129i	−0.601427	+	0.249119i	−0.662558	−	0.749011i	$-0.730529\pi$
$373$	−11.6155	+	4.81129i	−0.601427	+	0.249119i	0.0611312	+	0.998130i	$0.480529\pi$
$374$	−0.346033	−	0.490489i	−0.0178929	−	0.0253626i
$375$	−7.19829	+	1.56832i	−0.371718	+	0.0809879i
$376$	−12.1090	+	9.49712i	−0.624473	+	0.489776i
$377$	0.487851	+	0.487851i	0.0251256	+	0.0251256i
$378$	−10.4969	+	32.4525i	−0.539901	+	1.66918i
$379$	−15.2623	+	6.32186i	−0.783972	+	0.324732i	−0.738517	−	0.674234i	$-0.764474\pi$
$379$	−15.2623	+	6.32186i	−0.783972	+	0.324732i	−0.0454550	+	0.998966i	$0.514474\pi$
$380$	14.4030	−	6.84051i	0.738857	−	0.350911i
$381$	−6.82782	+	4.74390i	−0.349800	+	0.243038i
$382$	−5.84921	−	25.9499i	−0.299271	−	1.32771i
$383$	−28.9536			−1.47946			−0.739729	−	0.672905i	$-0.765046\pi$
$383$	−28.9536			−1.47946			−0.739729	+	0.672905i	$0.765046\pi$
$384$	−10.8750	−	16.3014i	−0.554961	−	0.831876i
$385$	4.06351			0.207096
$386$	−3.46723	−	15.3823i	−0.176477	−	0.782939i
$387$	−16.2275	+	0.590049i	−0.824889	+	0.0299939i
$388$	−19.8651	+	9.43467i	−1.00850	+	0.478973i
$389$	−6.31149	+	2.61431i	−0.320005	+	0.132551i	−0.536903	−	0.843644i	$-0.680406\pi$
$389$	−6.31149	+	2.61431i	−0.320005	+	0.132551i	0.216898	+	0.976194i	$0.430406\pi$
$390$	−2.14187	−	1.96311i	−0.108458	−	0.0994057i
$391$	4.67733	+	4.67733i	0.236543	+	0.236543i
$392$	32.3676	−	25.3860i	1.63481	−	1.28219i
$393$	8.06654	+	37.0238i	0.406903	+	1.86760i
$394$	−13.0283	−	18.4671i	−0.656356	−	0.930361i
$395$	13.0170	−	5.39183i	0.654958	−	0.271293i
$396$	0.829391	+	1.59411i	0.0416785	+	0.0801072i
$397$	−1.66407	+	4.01741i	−0.0835171	+	0.201628i	−0.960121	−	0.279584i	$-0.909803\pi$
$397$	−1.66407	+	4.01741i	−0.0835171	+	0.201628i	0.876604	+	0.481212i	$0.159803\pi$
$398$	−0.733290	+	1.16006i	−0.0367565	+	0.0581484i
$399$	−11.8480	+	18.4490i	−0.593143	+	0.923604i
$400$	−1.43531	−	14.1069i	−0.0717657	−	0.705344i
$401$	3.93840			0.196674			0.0983371	−	0.995153i	$-0.468648\pi$
$401$	3.93840			0.196674			0.0983371	+	0.995153i	$0.468648\pi$
$402$	11.3557	+	24.3594i	0.566370	+	1.21494i
$403$	−1.56214	−	0.647058i	−0.0778155	−	0.0322322i
$404$	−3.64974	+	4.03993i	−0.181581	+	0.200994i
$405$	−24.9729	−	8.27601i	−1.24091	−	0.411238i
$406$	−6.43387	−	9.11978i	−0.319308	−	0.452607i
$407$	1.56476	+	1.56476i	0.0775621	+	0.0775621i
$408$	2.04170	−	6.63598i	0.101079	−	0.328530i
$409$	12.8960	−	12.8960i	0.637664	−	0.637664i	−0.312314	−	0.949979i	$-0.601104\pi$
$409$	12.8960	−	12.8960i	0.637664	−	0.637664i	0.949979	+	0.312314i	$0.101104\pi$
$410$	−22.0044	−	3.79986i	−1.08672	−	0.187662i
$411$	−30.6889	−	5.52667i	−1.51377	−	0.272610i
$412$	0.887012	+	0.315767i	0.0436999	+	0.0155567i
$413$	6.39128	−	15.4299i	0.314494	−	0.759256i
$414$	−11.9956	−	15.7552i	−0.589553	−	0.774325i
$415$		−	27.5295i		−	1.35137i
$416$	−1.73202	+	1.50626i	−0.0849193	+	0.0738505i
$417$	−0.473084	+	0.736656i	−0.0231670	+	0.0360742i
$418$	0.254003	+	1.12688i	0.0124237	+	0.0551176i
$419$	5.81232	+	2.40754i	0.283951	+	0.117616i	0.520113	−	0.854097i	$-0.325890\pi$
$419$	5.81232	+	2.40754i	0.283951	+	0.117616i	−0.236163	+	0.971714i	$0.575890\pi$
$420$	28.7395	+	37.1900i	1.40235	+	1.81468i
$421$	7.88620	+	19.0390i	0.384350	+	0.927903i	0.991113	+	0.133020i	$0.0424676\pi$
$421$	7.88620	+	19.0390i	0.384350	+	0.927903i	−0.606763	+	0.794883i	$0.707532\pi$
$422$	−0.588345	+	3.40701i	−0.0286402	+	0.165850i
$423$	15.2971	+	5.69428i	0.743770	+	0.276865i
$424$	6.71659	−	11.9235i	0.326186	−	0.579058i
$425$	3.55248	−	3.55248i	0.172321	−	0.172321i
$426$	−0.569491	−	13.0770i	−0.0275919	−	0.633580i
$427$	21.0770	+	50.8843i	1.01999	+	2.46246i
$428$	0.572161	−	0.633330i	0.0276564	−	0.0306132i
$429$	0.172860	−	0.120102i	0.00834578	−	0.00579857i
$430$	−11.9560	+	18.9142i	−0.576568	+	0.912125i
$431$			33.6809i			1.62235i	0.584801	+	0.811177i	$0.301173\pi$
$431$			33.6809i			1.62235i	−0.584801	+	0.811177i	$0.698827\pi$
$432$	−8.72367	+	18.8652i	−0.419718	+	0.907655i
$433$		−	20.3471i		−	0.977819i	−0.872335	−	0.488909i	$-0.837395\pi$
$433$		−	20.3471i		−	0.977819i	0.872335	−	0.488909i	$-0.162605\pi$
$434$	23.1207	+	14.6150i	1.10983	+	0.701541i
$435$	7.06982	−	4.91204i	0.338972	−	0.235514i
$436$	0.481447	+	9.48817i	0.0230572	+	0.454401i
$437$	−4.87135	−	11.7605i	−0.233028	−	0.562580i
$438$	13.4673	−	0.586492i	0.643494	−	0.0280237i
$439$	12.4753	−	12.4753i	0.595414	−	0.595414i	−0.343675	−	0.939089i	$-0.611672\pi$
$439$	12.4753	−	12.4753i	0.595414	−	0.595414i	0.939089	+	0.343675i	$0.111672\pi$
$440$	2.45832	+	0.297175i	0.117196	+	0.0141673i
$441$	−40.8895	−	15.2209i	−1.94712	−	0.724807i
$442$	−0.801403	−	0.138392i	−0.0381189	−	0.00658263i
$443$	−10.7190	−	25.8778i	−0.509273	−	1.22949i	−0.944303	−	0.329077i	$-0.893262\pi$
$443$	−10.7190	−	25.8778i	−0.509273	−	1.22949i	0.435030	−	0.900416i	$-0.356738\pi$
$444$	−3.25405	+	25.3878i	−0.154430	+	1.20485i
$445$	14.1286	+	5.85227i	0.669761	+	0.277424i
$446$	14.2750	−	3.21764i	0.675942	−	0.152360i
$447$	10.5644	−	16.4502i	0.499678	−	0.778066i
$448$	31.7565	−	19.2434i	1.50036	−	0.909164i
$449$			16.2439i			0.766596i	0.923625	+	0.383298i	$0.125212\pi$
$449$			16.2439i			0.766596i	−0.923625	+	0.383298i	$0.874788\pi$
$450$	−11.9662	+	9.11080i	−0.564093	+	0.429487i
$451$	0.619083	−	1.49460i	0.0291515	−	0.0703779i
$452$	−33.4805	+	15.9011i	−1.57479	+	0.747926i
$453$	−33.1924	−	5.97751i	−1.55952	−	0.280848i
$454$	2.72997	−	15.8088i	0.128124	−	0.741942i
$455$	3.89292	−	3.89292i	0.182503	−	0.182503i
$456$	−8.51696	+	10.2947i	−0.398843	+	0.482092i
$457$	−2.84177	−	2.84177i	−0.132932	−	0.132932i	0.637510	−	0.770442i	$-0.279965\pi$
$457$	−2.84177	−	2.84177i	−0.132932	−	0.132932i	−0.770442	+	0.637510i	$0.779965\pi$
$458$	22.3297	−	15.7533i	1.04340	−	0.736102i
$459$	−7.13361	+	1.82810i	−0.332968	+	0.0853284i
$460$	−27.2521	+	1.38282i	−1.27063	+	0.0644744i
$461$	20.8642	+	8.64224i	0.971743	+	0.402509i	0.811361	−	0.584546i	$-0.198727\pi$
$461$	20.8642	+	8.64224i	0.971743	+	0.402509i	0.160382	+	0.987055i	$0.448727\pi$
$462$	−3.08618	+	1.43869i	−0.143582	+	0.0669339i
$463$	−22.3599			−1.03915			−0.519576	−	0.854424i	$-0.673910\pi$
$463$	−22.3599			−1.03915			−0.519576	+	0.854424i	$0.673910\pi$
$464$	−3.22537	−	5.98775i	−0.149734	−	0.277974i
$465$	−11.4007	+	17.7524i	−0.528694	+	0.823248i
$466$	26.9989	+	17.0664i	1.25070	+	0.790586i
$467$	−3.58346	+	8.65124i	−0.165823	+	0.400332i	−0.984847	−	0.173428i	$-0.944516\pi$
$467$	−3.58346	+	8.65124i	−0.165823	+	0.400332i	0.819024	+	0.573760i	$0.194516\pi$
$468$	2.32176	+	0.732618i	0.107324	+	0.0338653i
$469$	−47.0508	+	19.4891i	−2.17260	+	0.899922i
$470$	18.3790	−	12.9661i	0.847760	−	0.598082i
$471$	3.17148	+	14.5565i	0.146134	+	0.670726i
$472$	4.99498	−	8.86728i	0.229913	−	0.408149i
$473$	−1.14628	−	1.14628i	−0.0527060	−	0.0527060i
$474$	−7.97727	+	8.70372i	−0.366408	+	0.399775i
$475$	−8.93220	+	3.69984i	−0.409838	+	0.169760i
$476$	12.3942	+	4.41220i	0.568087	+	0.202233i
$477$	−14.5057	+	0.527443i	−0.664170	+	0.0241500i
$478$	−31.0624	+	7.00159i	−1.42076	+	0.320245i
$479$	1.51545			0.0692426			0.0346213	−	0.999401i	$-0.488977\pi$
$479$	1.51545			0.0692426			0.0346213	+	0.999401i	$0.488977\pi$
$480$	14.6669	+	24.6007i	0.669447	+	1.12286i
$481$	2.99813			0.136703
$482$	30.0596	−	6.77555i	1.36918	−	0.308618i
$483$	30.8149	−	21.4099i	1.40213	−	0.974185i
$484$	7.31803	−	20.5569i	0.332638	−	0.934404i
$485$	29.6960	−	12.3005i	1.34843	−	0.558536i
$486$	21.8967	−	2.55618i	0.993255	−	0.115951i
$487$	10.7114	+	10.7114i	0.485378	+	0.485378i	0.906844	−	0.421466i	$-0.138484\pi$
$487$	10.7114	+	10.7114i	0.485378	+	0.485378i	−0.421466	+	0.906844i	$0.638484\pi$
$488$	9.02970	+	32.3251i	0.408756	+	1.46329i
$489$	21.1224	−	4.60203i	0.955188	−	0.208111i
$490$	−49.1276	+	34.6588i	−2.21936	+	1.56572i
$491$	−20.2550	+	8.38989i	−0.914095	+	0.378630i	−0.789623	−	0.613593i	$-0.789724\pi$
$491$	−20.2550	+	8.38989i	−0.914095	+	0.378630i	−0.124472	+	0.992223i	$0.539724\pi$
$492$	18.0573	−	4.90472i	0.814088	−	0.221122i
$493$	0.922155	−	2.22628i	0.0415318	−	0.100267i
$494$	1.32291	+	0.836234i	0.0595207	+	0.0376239i
$495$	−1.09260	−	2.38837i	−0.0491085	−	0.107349i
$496$	12.9186	+	10.5325i	0.580062	+	0.472925i
$497$	24.8028			1.11256
$498$	9.74685	+	20.9083i	0.436767	+	0.936923i
$499$	10.2527	+	4.24681i	0.458974	+	0.190113i	0.600177	−	0.799867i	$-0.295097\pi$
$499$	10.2527	+	4.24681i	0.458974	+	0.190113i	−0.141203	+	0.989981i	$0.545097\pi$
$500$	−0.431100	−	8.49593i	−0.0192794	−	0.379950i
$501$	35.5784	+	6.40720i	1.58953	+	0.286253i
$502$	−18.0221	+	12.7143i	−0.804366	+	0.567468i
$503$	−14.9291	−	14.9291i	−0.665655	−	0.665655i	0.291052	−	0.956707i	$-0.405995\pi$
$503$	−14.9291	−	14.9291i	−0.665655	−	0.665655i	−0.956707	+	0.291052i	$0.905995\pi$
$504$	−34.9944	−	18.0700i	−1.55878	−	0.804901i
$505$	5.62678	−	5.62678i	0.250389	−	0.250389i
$506$	0.336400	−	1.94804i	0.0149548	−	0.0866007i
$507$	−3.94021	+	21.8795i	−0.174991	+	0.971704i
$508$	−4.11862	−	8.67191i	−0.182734	−	0.384754i
$509$	−0.540947	+	1.30596i	−0.0239770	+	0.0578857i	−0.935415	−	0.353553i	$-0.884973\pi$
$509$	−0.540947	+	1.30596i	−0.0239770	+	0.0578857i	0.911438	+	0.411438i	$0.134973\pi$
$510$	−3.47179	+	9.53536i	−0.153734	+	0.422233i
$511$			25.5432i			1.12997i
$512$	20.6192	−	9.31929i	0.911248	−	0.411858i
$513$	14.0293	+	2.00325i	0.619407	+	0.0884456i
$514$	16.3870	−	3.69369i	0.722800	−	0.162922i
$515$	−1.27139	−	0.526627i	−0.0560241	−	0.0232059i
$516$	2.38379	−	18.5981i	0.104940	−	0.818736i
$517$	0.623584	+	1.50547i	0.0274252	+	0.0662103i
$518$	−47.7932	−	8.25325i	−2.09991	−	0.362627i
$519$	−3.03645	−	13.9367i	−0.133286	−	0.611754i
$520$	2.63981	−	2.07041i	0.115763	−	0.0907936i
$521$	4.02013	−	4.02013i	0.176125	−	0.176125i	−0.613539	−	0.789664i	$-0.710255\pi$
$521$	4.02013	−	4.02013i	0.176125	−	0.176125i	0.789664	+	0.613539i	$0.210255\pi$
$522$	−3.63031	+	6.23370i	−0.158894	+	0.272842i
$523$	2.35502	+	5.68552i	0.102978	+	0.248610i	0.966968	−	0.254899i	$-0.0820421\pi$
$523$	2.35502	+	5.68552i	0.102978	+	0.248610i	−0.863990	+	0.503509i	$0.832042\pi$
$524$	−43.6981	+	2.21732i	−1.90896	+	0.0968642i
$525$	−16.2610	−	23.4042i	−0.709690	−	1.02144i
$526$	5.57114	+	3.52160i	0.242913	+	0.153549i
$527$			5.90561i			0.257253i
$528$	−1.97227	+	0.644669i	−0.0858321	+	0.0280556i
$529$		−	1.21549i		−	0.0528475i
$530$	−10.6874	+	16.9074i	−0.464231	+	0.734410i
$531$	−10.7876	+	0.392248i	−0.468141	+	0.0170221i
$532$	−18.7866	−	16.9721i	−0.814501	−	0.735834i
$533$	−0.838760	−	2.02495i	−0.0363307	−	0.0877101i
$534$	−12.8025	+	0.557539i	−0.554018	+	0.0241271i
$535$	−0.882097	+	0.882097i	−0.0381364	+	0.0381364i
$536$	−29.8898	+	8.34943i	−1.29104	+	0.360640i
$537$	6.13513	−	1.33669i	0.264750	−	0.0576823i
$538$	7.03238	−	40.7233i	0.303187	−	1.75571i
$539$	−1.66686	−	4.02415i	−0.0717966	−	0.173332i
$540$	14.1313	−	26.8916i	0.608115	−	1.15723i
$541$	27.0891	+	11.2207i	1.16465	+	0.482414i	0.879421	−	0.476045i	$-0.157930\pi$
$541$	27.0891	+	11.2207i	1.16465	+	0.482414i	0.285230	+	0.958459i	$0.407930\pi$
$542$	1.08785	+	4.82622i	0.0467271	+	0.207304i
$543$	10.2767	+	6.59973i	0.441014	+	0.283222i
$544$	7.17548	+	3.57568i	0.307646	+	0.153306i
$545$		−	13.8856i		−	0.594794i
$546$	−1.57832	+	4.33491i	−0.0675461	+	0.185517i
$547$	2.18960	−	5.28616i	0.0936205	−	0.226020i	−0.870132	−	0.492820i	$-0.835966\pi$
$547$	2.18960	−	5.28616i	0.0936205	−	0.226020i	0.963752	+	0.266800i	$0.0859662\pi$
$548$	12.0756	−	33.9212i	0.515844	−	1.44904i
$549$	24.2406	−	26.0700i	1.03456	−	1.11264i
$550$	−1.47955	−	0.255499i	−0.0630883	−	0.0108945i
$551$	−3.27904	+	3.27904i	−0.139692	+	0.139692i
$552$	20.2080	−	10.6989i	0.860109	−	0.455374i
$553$	−15.8193	−	15.8193i	−0.672703	−	0.672703i
$554$	−8.99229	−	12.7462i	−0.382046	−	0.541536i
$555$	6.63039	−	36.8178i	0.281445	−	1.56283i
$556$	−0.750135	−	0.677685i	−0.0318128	−	0.0287403i
$557$	33.6235	+	13.9273i	1.42467	+	0.590119i	0.956030	−	0.293268i	$-0.0947428\pi$
$557$	33.6235	+	13.9273i	1.42467	+	0.590119i	0.468644	+	0.883387i	$0.344743\pi$
$558$	2.37341	−	17.5191i	0.100474	−	0.741644i
$559$	−2.19631			−0.0928941
$560$	−47.7806	+	25.7375i	−2.01910	+	1.08761i
$561$	−0.618594	−	0.397264i	−0.0261171	−	0.0167725i
$562$	−15.0764	+	23.8506i	−0.635958	+	1.00608i
$563$	−10.2970	+	24.8591i	−0.433965	+	1.04768i	0.544031	+	0.839065i	$0.316897\pi$
$563$	−10.2970	+	24.8591i	−0.433965	+	1.04768i	−0.977997	+	0.208620i	$0.933103\pi$
$564$	−9.36793	+	16.3547i	−0.394461	+	0.688657i
$565$	50.0494	−	20.7312i	2.10560	−	0.872166i
$566$	15.1952	+	21.5386i	0.638702	+	0.905337i
$567$	3.03385	+	41.6632i	0.127410	+	1.74969i
$568$	15.0050	+	1.81389i	0.629597	+	0.0761093i
$569$	−5.01618	−	5.01618i	−0.210289	−	0.210289i	0.594101	−	0.804390i	$-0.297508\pi$
$569$	−5.01618	−	5.01618i	−0.210289	−	0.210289i	−0.804390	+	0.594101i	$0.797508\pi$
$570$	13.1948	−	14.3964i	0.552668	−	0.602997i
$571$	−8.20928	+	3.40040i	−0.343548	+	0.142302i	−0.547785	−	0.836619i	$-0.684529\pi$
$571$	−8.20928	+	3.40040i	−0.343548	+	0.142302i	0.204237	+	0.978921i	$0.434529\pi$
$572$	0.104271	+	0.219547i	0.00435980	+	0.00917973i
$573$	−18.5894	−	26.7554i	−0.776583	−	1.11772i
$574$	7.79639	+	34.5885i	0.325415	+	1.44370i
$575$	16.5455			0.689997
$576$	−19.8492	−	13.4911i	−0.827050	−	0.562129i
$577$	36.7704			1.53077			0.765386	−	0.643571i	$-0.222548\pi$
$577$	36.7704			1.53077			0.765386	+	0.643571i	$0.222548\pi$
$578$	−4.66186	−	20.6822i	−0.193908	−	0.860268i
$579$	−11.0192	−	15.8598i	−0.457943	−	0.659109i
$580$	4.26459	+	8.97926i	0.177078	+	0.372844i
$581$	−40.3848	+	16.7279i	−1.67544	+	0.693992i
$582$	−18.1987	+	19.8559i	−0.754360	+	0.823055i
$583$	−1.02466	−	1.02466i	−0.0424369	−	0.0424369i
$584$	−1.86804	+	15.4530i	−0.0773002	+	0.639448i
$585$	−3.33483	−	1.24138i	−0.137878	−	0.0513246i
$586$	19.1076	+	27.0844i	0.789329	+	1.11885i
$587$	−22.3129	+	9.24233i	−0.920954	+	0.381472i	−0.792240	−	0.610210i	$-0.791085\pi$
$587$	−22.3129	+	9.24233i	−0.920954	+	0.381472i	−0.128714	+	0.991682i	$0.541085\pi$
$588$	25.0407	−	43.7165i	1.03266	−	1.80284i
$589$	4.34912	−	10.4997i	0.179202	−	0.432633i
$590$	−7.94800	+	12.5737i	−0.327214	+	0.517649i
$591$	−23.2903	−	14.9572i	−0.958036	−	0.615256i
$592$	−28.3100	−	8.48824i	−1.16353	−	0.348864i
$593$	2.15691			0.0885737			0.0442868	−	0.999019i	$-0.485898\pi$
$593$	2.15691			0.0885737			0.0442868	+	0.999019i	$0.485898\pi$
$594$	1.67542	+	1.42710i	0.0687432	+	0.0585546i
$595$	−17.7651	−	7.35854i	−0.728297	−	0.301671i
$596$	16.7512	+	15.1333i	0.686155	+	0.619884i
$597$	−0.297902	+	1.65421i	−0.0121923	+	0.0677025i
$598$	−1.54398	−	2.18853i	−0.0631379	−	0.0894957i
$599$	−4.80949	−	4.80949i	−0.196511	−	0.196511i	0.601992	−	0.798502i	$-0.294374\pi$
$599$	−4.80949	−	4.80949i	−0.196511	−	0.196511i	−0.798502	+	0.601992i	$0.794374\pi$
$600$	−8.12589	−	15.3482i	−0.331738	−	0.626586i
$601$	5.18282	−	5.18282i	0.211411	−	0.211411i	−0.593455	−	0.804867i	$-0.702237\pi$
$601$	5.18282	−	5.18282i	0.211411	−	0.211411i	0.804867	+	0.593455i	$0.202237\pi$
$602$	35.0114	+	6.04600i	1.42696	+	0.246417i
$603$	24.1059	+	22.4144i	0.981669	+	0.912785i
$604$	13.0607	−	36.6884i	0.531432	−	1.49283i
$605$	−12.2048	+	29.4650i	−0.496196	+	1.19792i
$606$	−2.28129	+	6.26563i	−0.0926712	+	0.254524i
$607$		−	5.19779i		−	0.210972i	−0.994421	−	0.105486i	$-0.966360\pi$
$607$		−	5.19779i		−	0.210972i	0.994421	−	0.105486i	$-0.0336398\pi$
$608$	−10.1242	−	11.6416i	−0.410589	−	0.472128i
$609$	−11.5017	−	7.38643i	−0.466071	−	0.299313i
$610$	−10.7865	−	47.8540i	−0.436731	−	1.93755i
$611$	2.03967	+	0.844859i	0.0825162	+	0.0341793i
$612$	−0.739228	−	8.47117i	−0.0298815	−	0.342427i
$613$	12.1586	+	29.3536i	0.491083	+	1.18558i	0.954170	+	0.299266i	$0.0967419\pi$
$613$	12.1586	+	29.3536i	0.491083	+	1.18558i	−0.463087	+	0.886313i	$0.653258\pi$
$614$	5.13552	−	29.7389i	0.207253	−	1.20016i
$615$	−26.7217	+	5.82198i	−1.07752	+	0.234765i
$616$	−1.05782	−	3.78684i	−0.0426207	−	0.152576i
$617$	10.7968	−	10.7968i	0.434663	−	0.434663i	−0.455548	−	0.890211i	$-0.650557\pi$
$617$	10.7968	−	10.7968i	0.434663	−	0.434663i	0.890211	+	0.455548i	$0.150557\pi$
$618$	1.15205	−	0.0501711i	0.0463424	−	0.00201818i
$619$	−11.7667	−	28.4074i	−0.472944	−	1.14179i	−0.962856	−	0.270016i	$-0.912971\pi$
$619$	−11.7667	−	28.4074i	−0.472944	−	1.14179i	0.489912	−	0.871772i	$-0.337029\pi$
$620$	−18.0773	−	16.3313i	−0.726000	−	0.655881i
$621$	−20.8694	−	12.3551i	−0.837461	−	0.495794i
$622$	−11.2954	+	17.8692i	−0.452903	+	0.716488i
$623$		−	24.2822i		−	0.972848i
$624$	−1.27187	+	2.50708i	−0.0509155	+	0.100363i
$625$			30.1581i			1.20633i
$626$	−40.6733	−	25.7102i	−1.62563	−	1.02759i
$627$	0.807250	+	1.16186i	0.0322384	+	0.0464002i
$628$	−17.1806	+	0.871774i	−0.685579	+	0.0347876i
$629$	−4.00730	−	9.67449i	−0.159782	−	0.385747i
$630$	49.7432	+	28.9689i	1.98182	+	1.15415i
$631$	−5.17311	+	5.17311i	−0.205938	+	0.205938i	−0.802539	−	0.596600i	$-0.796518\pi$
$631$	−5.17311	+	5.17311i	−0.205938	+	0.205938i	0.596600	+	0.802539i	$0.296518\pi$
$632$	−8.41333	−	10.7271i	−0.334664	−	0.426702i
$633$	0.901437	+	4.13741i	0.0358289	+	0.164447i
$634$	32.5385	+	5.61897i	1.29227	+	0.223158i
$635$	5.36966	+	12.9635i	0.213088	+	0.514441i
$636$	2.13086	−	16.6248i	0.0844942	−	0.659216i
$637$	−5.45209	−	2.25833i	−0.216020	−	0.0894782i
$638$	−0.702534	+	0.158354i	−0.0278136	+	0.00626929i
$639$	−6.66897	−	14.5781i	−0.263820	−	0.576701i
$640$	−30.7882	+	12.0762i	−1.21701	+	0.477354i
$641$		−	35.5298i		−	1.40334i	−0.712500	−	0.701672i	$-0.752437\pi$
$641$		−	35.5298i		−	1.40334i	0.712500	−	0.701672i	$-0.247563\pi$
$642$	0.357633	−	0.982248i	0.0141146	−	0.0387662i
$643$	3.04889	−	7.36067i	0.120237	−	0.290277i	−0.852290	−	0.523070i	$-0.824787\pi$
$643$	3.04889	−	7.36067i	0.120237	−	0.290277i	0.972526	+	0.232793i	$0.0747866\pi$
$644$	18.5879	+	39.1376i	0.732466	+	1.54224i
$645$	−4.85716	+	26.9712i	−0.191251	+	1.06199i
$646$	0.930184	−	5.38654i	0.0365976	−	0.211930i
$647$	−9.34579	+	9.34579i	−0.367421	+	0.367421i	−0.866536	−	0.499115i	$-0.833659\pi$
$647$	−9.34579	+	9.34579i	−0.367421	+	0.367421i	0.499115	+	0.866536i	$0.333659\pi$
$648$	−1.21154	+	25.4270i	−0.0475938	+	0.998867i
$649$	−0.762015	−	0.762015i	−0.0299117	−	0.0299117i
$650$	−1.66221	+	1.17266i	−0.0651973	+	0.0459957i
$651$	32.9696	+	5.93739i	1.29218	+	0.232705i
$652$	1.26500	+	24.9301i	0.0495413	+	0.976340i
$653$	3.13779	+	1.29972i	0.122791	+	0.0508618i	0.443233	−	0.896406i	$-0.353831\pi$
$653$	3.13779	+	1.29972i	0.122791	+	0.0508618i	−0.320442	+	0.947268i	$0.603831\pi$
$654$	4.91621	+	10.5459i	0.192239	+	0.412378i
$655$	63.9506			2.49876
$656$	2.18706	+	21.4953i	0.0853902	+	0.839251i
$657$	15.0133	−	6.86805i	0.585725	−	0.267948i
$658$	−30.1886	−	19.0827i	−1.17687	−	0.743920i
$659$	12.0747	−	29.1508i	0.470362	−	1.13555i	−0.493642	−	0.869665i	$-0.664335\pi$
$659$	12.0747	−	29.1508i	0.470362	−	1.13555i	0.964004	−	0.265889i	$-0.0856653\pi$
$660$	2.92669	−	0.794945i	0.113921	−	0.0309432i
$661$	21.5134	−	8.91114i	0.836774	−	0.346603i	0.0771932	−	0.997016i	$-0.475404\pi$
$661$	21.5134	−	8.91114i	0.836774	−	0.346603i	0.759581	+	0.650413i	$0.225404\pi$
$662$	32.2457	−	22.7489i	1.25326	−	0.884159i
$663$	−0.973211	+	0.212038i	−0.0377964	+	0.00823487i
$664$	−25.6551	+	7.16651i	−0.995611	+	0.278115i
$665$	26.1658	+	26.1658i	1.01467	+	1.01467i
$666$	7.99968	+	30.3101i	0.309981	+	1.17449i
$667$	7.33186	−	3.03696i	0.283891	−	0.117591i
$668$	−13.9996	+	39.3258i	−0.541659	+	1.52156i
$669$	14.7181	−	10.2260i	0.569035	−	0.395360i
$670$	44.2488	−	9.97384i	1.70948	−	0.385323i
$671$	3.55385			0.137195
$672$	27.1763	−	36.4641i	1.04835	−	1.40663i
$673$	−27.9251			−1.07643			−0.538216	−	0.842807i	$-0.680902\pi$
$673$	−27.9251			−1.07643			−0.538216	+	0.842807i	$0.680902\pi$
$674$	−10.6546	+	2.40160i	−0.410401	+	0.0925060i
$675$	−9.38383	+	15.8505i	−0.361184	+	0.610087i
$676$	−24.1840	−	8.60925i	−0.930154	−	0.331125i
$677$	−6.25960	+	2.59281i	−0.240576	+	0.0996498i	−0.499714	−	0.866191i	$-0.666562\pi$
$677$	−6.25960	+	2.59281i	−0.240576	+	0.0996498i	0.259138	+	0.965840i	$0.416562\pi$
$678$	−30.6720	+	33.4651i	−1.17795	+	1.28522i
$679$	−36.0887	−	36.0887i	−1.38496	−	1.38496i
$680$	−10.2093	−	5.75093i	−0.391507	−	0.220538i
$681$	−4.18273	−	19.1979i	−0.160283	−	0.735665i
$682$	1.44217	−	1.01743i	0.0552234	−	0.0389593i
$683$	26.2767	−	10.8842i	1.00545	−	0.416471i	0.181657	−	0.983362i	$-0.441854\pi$
$683$	26.2767	−	10.8842i	1.00545	−	0.416471i	0.823793	+	0.566891i	$0.191854\pi$
$684$	−4.92421	+	15.6055i	−0.188282	+	0.596689i
$685$	−20.1393	+	48.6207i	−0.769484	+	1.85770i
$686$	41.8553	+	26.4574i	1.59804	+	1.01015i
$687$	18.0856	−	28.1617i	0.690009	−	1.07444i
$688$	20.7388	+	6.21815i	0.790659	+	0.237065i
$689$	−1.96328			−0.0747950
$690$	−30.2902	+	14.1204i	−1.15313	+	0.537556i
$691$	−26.2910	−	10.8901i	−1.00016	−	0.414279i	−0.178303	−	0.983976i	$-0.557061\pi$
$691$	−26.2910	−	10.8901i	−1.00016	−	0.414279i	−0.821855	+	0.569697i	$0.807061\pi$
$692$	16.4491	−	0.834658i	0.625301	−	0.0317289i
$693$	−2.83975	+	3.05406i	−0.107873	+	0.116014i
$694$	8.72088	−	6.15245i	0.331040	−	0.233544i
$695$	1.04478	+	1.04478i	0.0396309	+	0.0396309i
$696$	−6.41802	−	5.30974i	−0.243274	−	0.201265i
$697$	−5.41308	+	5.41308i	−0.205035	+	0.205035i
$698$	−0.964929	+	5.58774i	−0.0365231	+	0.211499i
$699$	38.4998	+	6.93330i	1.45619	+	0.262241i
$700$	29.7254	−	14.1177i	1.12351	−	0.533599i
$701$	−15.7331	+	37.9830i	−0.594230	+	1.43460i	0.285153	+	0.958482i	$0.407956\pi$
$701$	−15.7331	+	37.9830i	−0.594230	+	1.43460i	−0.879383	+	0.476116i	$0.842044\pi$
$702$	2.97227	−	0.237892i	0.112181	−	0.00897864i
$703$			20.1516i			0.760032i
$704$	−0.363010	−	2.36830i	−0.0136815	−	0.0892585i
$705$	14.8858	−	23.1792i	0.560632	−	0.872979i
$706$	−45.5858	+	10.2752i	−1.71564	+	0.386712i
$707$	−11.6733	−	4.83525i	−0.439021	−	0.181848i
$708$	1.58468	−	12.3635i	0.0595558	−	0.464649i
$709$	3.26185	+	7.87481i	0.122501	+	0.295745i	0.973220	−	0.229877i	$-0.0738325\pi$
$709$	3.26185	+	7.87481i	0.122501	+	0.295745i	−0.850718	+	0.525622i	$0.823833\pi$
$710$	−21.7686	−	3.75915i	−0.816961	−	0.141078i
$711$	−5.04446	+	13.5514i	−0.189182	+	0.508218i
$712$	1.77582	−	14.6901i	0.0665518	−	0.550535i
$713$	−13.7526	+	13.7526i	−0.515039	+	0.515039i
$714$	16.0976	−	0.701040i	0.602439	−	0.0262357i
$715$	−0.135944	−	0.328198i	−0.00508402	−	0.0122739i
$716$	0.367428	+	7.24111i	0.0137314	+	0.270613i
$717$	−32.0266	+	22.2518i	−1.19606	+	0.831008i
$718$	1.73799	+	1.09861i	0.0648612	+	0.0409997i
$719$		−	6.72495i		−	0.250798i	−0.992106	−	0.125399i	$-0.959979\pi$
$719$		−	6.72495i		−	0.250798i	0.992106	−	0.125399i	$-0.0400211\pi$
$720$	27.9747	+	21.1632i	1.04256	+	0.788708i
$721$			2.18508i			0.0813766i
$722$	8.73648	−	13.8210i	0.325138	−	0.514365i
$723$	30.9927	−	21.5334i	1.15263	−	0.800836i
$724$	−9.45401	+	10.4647i	−0.351355	+	0.388918i
$725$	−2.30660	−	5.56862i	−0.0856649	−	0.206813i
$726$	−1.16274	−	26.6994i	−0.0431532	−	0.990907i
$727$	−11.8994	+	11.8994i	−0.441326	+	0.441326i	−0.892457	−	0.451132i	$-0.851021\pi$
$727$	−11.8994	+	11.8994i	−0.441326	+	0.441326i	0.451132	+	0.892457i	$0.351021\pi$
$728$	−4.64127	−	2.61445i	−0.172017	−	0.0968980i
$729$	23.6722	−	12.9856i	0.876750	−	0.480947i
$730$	3.87137	−	22.4184i	0.143286	−	0.829744i
$731$	2.93559	+	7.08715i	0.108577	+	0.262128i
$732$	25.1349	+	32.5254i	0.929013	+	1.20218i
$733$	−27.8224	−	11.5244i	−1.02764	−	0.425664i	−0.195782	−	0.980647i	$-0.562724\pi$
$733$	−27.8224	−	11.5244i	−1.02764	−	0.425664i	−0.831861	+	0.554984i	$0.812724\pi$
$734$	3.63212	+	16.1138i	0.134064	+	0.594772i
$735$	−39.7901	+	61.9586i	−1.46768	+	2.28538i
$736$	8.38296	+	25.0366i	0.309000	+	0.922861i
$737$			3.28611i			0.121045i
$738$	18.2335	−	13.8826i	0.671184	−	0.511024i
$739$	−9.46555	+	22.8519i	−0.348196	+	0.840619i	0.648637	+	0.761098i	$0.275339\pi$
$739$	−9.46555	+	22.8519i	−0.348196	+	0.840619i	−0.996833	+	0.0795214i	$0.974661\pi$
$740$	40.6956	+	14.4872i	1.49600	+	0.532561i
$741$	1.88644	+	0.339724i	0.0693002	+	0.0124801i
$742$	31.2966	+	5.40451i	1.14893	+	0.198406i
$743$	−34.0574	+	34.0574i	−1.24944	+	1.24944i	−0.293479	+	0.955966i	$0.594813\pi$
$743$	−34.0574	+	34.0574i	−1.24944	+	1.24944i	−0.955966	+	0.293479i	$0.905187\pi$
$744$	19.5115	+	6.00312i	0.715327	+	0.220085i
$745$	−23.3309	−	23.3309i	−0.854778	−	0.854778i
$746$	−10.2497	−	14.5286i	−0.375268	−	0.531929i
$747$	20.6907	+	19.2388i	0.757033	+	0.703911i
$748$	0.569074	−	0.629913i	0.0208074	−	0.0230319i
$749$	1.83000	+	0.758011i	0.0668667	+	0.0276971i
$750$	−4.40209	−	9.44307i	−0.160742	−	0.344812i
$751$	−28.4849			−1.03943			−0.519714	−	0.854341i	$-0.673961\pi$
$751$	−28.4849			−1.03943			−0.519714	+	0.854341i	$0.673961\pi$
$752$	−16.8677	−	13.7523i	−0.615103	−	0.501494i
$753$	−14.5967	+	22.7291i	−0.531935	+	0.828294i
$754$	−0.521335	+	0.824746i	−0.0189859	+	0.0300355i
$755$	−21.7822	+	52.5870i	−0.792737	+	1.91384i
$756$	−48.0357	−	4.38982i	−1.74704	−	0.159656i
$757$	25.6728	−	10.6340i	0.933093	−	0.386500i	0.136242	−	0.990676i	$-0.456498\pi$
$757$	25.6728	−	10.6340i	0.933093	−	0.386500i	0.796851	+	0.604176i	$0.206498\pi$
$758$	−13.4677	−	19.0900i	−0.489170	−	0.693381i
$759$	−0.515417	−	2.36566i	−0.0187085	−	0.0858681i
$760$	13.9160	+	17.7432i	0.504787	+	0.643613i
$761$	−29.3477	−	29.3477i	−1.06385	−	1.06385i	−0.997817	−	0.0660371i	$-0.978964\pi$
$761$	−29.3477	−	29.3477i	−1.06385	−	1.06385i	−0.0660371	−	0.997817i	$-0.521036\pi$
$762$	−8.66792	−	7.94447i	−0.314006	−	0.287798i
$763$	−20.3697	+	8.43740i	−0.737432	+	0.305454i
$764$	33.9816	−	16.1391i	1.22941	−	0.583894i
$765$	0.451611	+	12.4202i	0.0163280	+	0.449053i
$766$	−9.00361	−	39.9444i	−0.325314	−	1.44325i
$767$	−1.46005			−0.0527193
$768$	19.1076	−	20.0723i	0.689488	−	0.724297i
$769$	−32.2426			−1.16270			−0.581349	−	0.813654i	$-0.697475\pi$
$769$	−32.2426			−1.16270			−0.581349	+	0.813654i	$0.697475\pi$
$770$	1.26362	+	5.60602i	0.0455377	+	0.202027i
$771$	16.8957	−	11.7389i	0.608482	−	0.422768i
$772$	20.1432	−	9.56679i	0.724971	−	0.344316i
$773$	12.3588	−	5.11920i	0.444517	−	0.184125i	−0.149186	−	0.988809i	$-0.547665\pi$
$773$	12.3588	−	5.11920i	0.444517	−	0.184125i	0.593703	+	0.804684i	$0.297665\pi$
$774$	−5.86025	−	22.2040i	−0.210642	−	0.798105i
$775$	10.4452	+	10.4452i	0.375203	+	0.375203i
$776$	−19.1935	−	24.4720i	−0.689005	−	0.878494i
$777$	−58.0392	+	12.6453i	−2.08215	+	0.453647i
$778$	−5.56937	−	7.89438i	−0.199671	−	0.283027i
$779$	13.6104	−	5.63762i	0.487644	−	0.201989i
$780$	2.04225	−	3.56539i	0.0731243	−	0.127662i
$781$	0.612450	−	1.47859i	0.0219152	−	0.0529079i
$782$	−4.99836	+	7.90735i	−0.178741	+	0.282766i
$783$	−1.24889	+	8.74629i	−0.0446316	+	0.312567i
$784$	45.0879	+	36.7602i	1.61028	+	1.31286i
$785$	25.1432			0.897398
$786$	−48.5696	+	22.6418i	−1.73242	+	0.807606i
$787$	38.0948	+	15.7794i	1.35793	+	0.562475i	0.938490	−	0.345307i	$-0.112225\pi$
$787$	38.0948	+	15.7794i	1.35793	+	0.562475i	0.419444	+	0.907781i	$0.362225\pi$
$788$	21.4259	−	23.7165i	0.763266	−	0.844866i
$789$	7.94432	+	1.43067i	0.282825	+	0.0509331i
$790$	11.4865	+	16.2816i	0.408670	+	0.579275i
$791$	−60.8237	−	60.8237i	−2.16264	−	2.16264i
$792$	−1.94133	+	1.63995i	−0.0689821	+	0.0582730i
$793$	3.40465	−	3.40465i	0.120903	−	0.120903i
$794$	−6.05990	−	1.04646i	−0.215058	−	0.0371376i
$795$	−4.34181	+	24.1095i	−0.153988	+	0.855076i
$796$	−1.82845	−	0.650907i	−0.0648075	−	0.0230708i
$797$	5.35573	−	12.9299i	0.189710	−	0.458000i	−0.800194	−	0.599741i	$-0.795270\pi$
$797$	5.35573	−	12.9299i	0.189710	−	0.458000i	0.989904	+	0.141742i	$0.0452702\pi$
$798$	−29.1366	−	10.6085i	−1.03142	−	0.375538i
$799$		−	7.71092i		−	0.272793i
$800$	19.0155	−	6.36694i	0.672300	−	0.225105i
$801$	−14.2721	+	6.52900i	−0.504282	+	0.230691i
$802$	1.22471	+	5.43342i	0.0432461	+	0.191861i
$803$	1.52272	+	0.630733i	0.0537358	+	0.0222581i
$804$	−30.0751	+	23.2413i	−1.06067	+	0.819658i
$805$	−24.2341	−	58.5062i	−0.854138	−	2.06207i
$806$	0.406908	−	2.35634i	0.0143327	−	0.0829984i
$807$	−10.7747	−	49.4537i	−0.379288	−	1.74085i
$808$	−6.70844	−	3.77890i	−0.236002	−	0.132941i
$809$	20.7156	−	20.7156i	0.728323	−	0.728323i	−0.241963	−	0.970286i	$-0.577791\pi$
$809$	20.7156	−	20.7156i	0.728323	−	0.728323i	0.970286	+	0.241963i	$0.0777911\pi$
$810$	3.65183	−	37.0262i	0.128312	−	1.30097i
$811$	11.3246	+	27.3401i	0.397662	+	0.960040i	0.988219	+	0.153045i	$0.0489079\pi$
$811$	11.3246	+	27.3401i	0.397662	+	0.960040i	−0.590557	+	0.806996i	$0.701092\pi$
$812$	10.5809	−	11.7121i	0.371318	−	0.411015i
$813$	3.45730	+	4.97603i	0.121253	+	0.174517i
$814$	−1.67215	+	2.64533i	−0.0586089	+	0.0927187i
$815$		−	36.4844i		−	1.27799i
$816$	9.78991	+	0.753152i	0.342715	+	0.0263656i
$817$		−	14.7623i		−	0.516466i
$818$	21.8015	+	13.7811i	0.762272	+	0.481844i
$819$	0.205309	+	5.64638i	0.00717407	+	0.197301i
$820$	−1.60034	−	31.5389i	−0.0558863	−	1.10138i
$821$	7.72933	+	18.6602i	0.269755	+	0.651247i	0.999472	−	0.0325031i	$-0.0103479\pi$
$821$	7.72933	+	18.6602i	0.269755	+	0.651247i	−0.729716	+	0.683750i	$0.760348\pi$
$822$	−1.91865	−	44.0571i	−0.0669207	−	1.53667i
$823$	−9.01439	+	9.01439i	−0.314222	+	0.314222i	−0.846543	−	0.532321i	$-0.821320\pi$
$823$	−9.01439	+	9.01439i	−0.314222	+	0.314222i	0.532321	+	0.846543i	$0.321320\pi$
$824$	−0.159801	+	1.32192i	−0.00556692	+	0.0460511i
$825$	−1.79674	+	0.391464i	−0.0625545	+	0.0136290i
$826$	23.2746	+	4.01922i	0.809827	+	0.139846i
$827$	−2.63867	−	6.37031i	−0.0917555	−	0.221517i	0.871339	−	0.490682i	$-0.163252\pi$
$827$	−2.63867	−	6.37031i	−0.0917555	−	0.221517i	−0.963094	+	0.269165i	$0.913252\pi$
$828$	18.0056	−	21.4485i	0.625738	−	0.745388i
$829$	−13.8454	−	5.73494i	−0.480870	−	0.199183i	0.129062	−	0.991636i	$-0.458803\pi$
$829$	−13.8454	−	5.73494i	−0.480870	−	0.199183i	−0.609932	+	0.792454i	$0.708803\pi$
$830$	37.9798	−	8.56078i	1.31830	−	0.297149i
$831$	−16.0753	−	10.3236i	−0.557645	−	0.358123i
$832$	−2.61664	−	1.92110i	−0.0907157	−	0.0666022i
$833$			20.6115i			0.714145i
$834$	−1.16340	−	0.423592i	−0.0402854	−	0.0146678i
$835$	23.3480	−	56.3672i	0.807992	−	1.95067i
$836$	−1.47566	+	0.700847i	−0.0510368	+	0.0242393i
$837$	−5.37510	−	20.9747i	−0.185791	−	0.724992i
$838$	−1.51401	+	8.76735i	−0.0523005	+	0.302863i
$839$	26.1199	−	26.1199i	0.901760	−	0.901760i	−0.0938284	−	0.995588i	$-0.529911\pi$
$839$	26.1199	−	26.1199i	0.901760	−	0.901760i	0.995588	+	0.0938284i	$0.0299105\pi$
$840$	−42.3703	+	51.2140i	−1.46191	+	1.76705i
$841$	18.4618	+	18.4618i	0.636615	+	0.636615i
$842$	−23.8138	+	16.8003i	−0.820679	+	0.578977i
$843$	−6.12483	+	34.0105i	−0.210950	+	1.17138i
$844$	−4.88327	+	0.247786i	−0.168089	+	0.00852915i
$845$	34.6639	+	14.3583i	1.19247	+	0.493939i
$846$	−3.09894	+	22.8746i	−0.106544	+	0.786445i
$847$	50.6402			1.74002
$848$	18.5384	+	5.55838i	0.636610	+	0.190876i
$849$	27.1641	+	17.4449i	0.932268	+	0.598708i
$850$	6.00571	+	3.79630i	0.205994	+	0.130212i
$851$	13.1974	−	31.8612i	0.452399	−	1.09219i
$852$	17.8639	−	4.85218i	0.612007	−	0.166233i
$853$	−1.69735	+	0.703064i	−0.0581161	+	0.0240725i	−0.411552	−	0.911386i	$-0.635013\pi$
$853$	−1.69735	+	0.703064i	−0.0581161	+	0.0240725i	0.353436	+	0.935459i	$0.385013\pi$
$854$	−63.6458	+	44.9012i	−2.17791	+	1.53649i
$855$	8.34377	−	22.4147i	0.285351	−	0.766565i
$856$	1.05167	+	0.592409i	0.0359452	+	0.0202481i
$857$	0.0113831	+	0.0113831i	0.000388840	+	0.000388840i	0.707301	−	0.706912i	$-0.249912\pi$
$857$	0.0113831	+	0.0113831i	0.000388840	+	0.000388840i	−0.706912	+	0.707301i	$0.749912\pi$
$858$	0.219446	+	0.201131i	0.00749178	+	0.00686649i
$859$	24.9835	−	10.3485i	0.852428	−	0.353087i	0.0866863	−	0.996236i	$-0.472372\pi$
$859$	24.9835	−	10.3485i	0.852428	−	0.353087i	0.765741	+	0.643149i	$0.222372\pi$
$860$	−29.8120	−	10.6128i	−1.01658	−	0.361892i
$861$	24.7777	+	35.6622i	0.844423	+	1.21536i
$862$	−46.4663	+	10.4737i	−1.58265	+	0.356735i
$863$	−16.4680			−0.560576			−0.280288	−	0.959916i	$-0.590430\pi$
$863$	−16.4680			−0.560576			−0.280288	+	0.959916i	$0.590430\pi$
$864$	−28.7393	−	6.16870i	−0.977731	−	0.209864i
$865$	−24.0727			−0.818496
$866$	28.0709	−	6.32728i	0.953887	−	0.215010i
$867$	−14.8159	−	21.3242i	−0.503173	−	0.724209i
$868$	−12.9730	+	36.4422i	−0.440333	+	1.23693i
$869$	−1.33366	+	0.552422i	−0.0452415	+	0.0187396i
$870$	8.97514	+	8.22604i	0.304286	+	0.278889i
$871$	3.14815	+	3.14815i	0.106671	+	0.106671i
$872$	−12.9402	+	3.61472i	−0.438209	+	0.122410i
$873$	−11.5080	+	30.9151i	−0.389487	+	1.04632i
$874$	14.7100	−	10.3777i	0.497572	−	0.351029i
$875$	18.2395	−	7.55505i	0.616608	−	0.255407i
$876$	4.99702	+	18.3972i	0.168834	+	0.621582i
$877$	−11.7332	+	28.3264i	−0.396202	+	0.956515i	0.592357	+	0.805676i	$0.298198\pi$
$877$	−11.7332	+	28.3264i	−0.396202	+	0.956515i	−0.988558	+	0.150840i	$0.951802\pi$
$878$	21.0904	+	13.3315i	0.711765	+	0.449918i
$879$	34.1582	+	21.9366i	1.15213	+	0.739903i
$880$	0.354473	+	3.48391i	0.0119493	+	0.117442i
$881$	−16.3847			−0.552015			−0.276008	−	0.961155i	$-0.589012\pi$
$881$	−16.3847			−0.552015			−0.276008	+	0.961155i	$0.589012\pi$
$882$	8.28354	−	61.1444i	0.278921	−	2.05884i
$883$	22.3631	+	9.26309i	0.752577	+	0.311728i	0.725793	−	0.687914i	$-0.241473\pi$
$883$	22.3631	+	9.26309i	0.752577	+	0.311728i	0.0267846	+	0.999641i	$0.491473\pi$
$884$	−0.0582848	−	1.14865i	−0.00196033	−	0.0386334i
$885$	−3.22891	+	17.9297i	−0.108539	+	0.602702i
$886$	32.3679	−	22.8350i	1.08742	−	0.767158i
$887$	30.9346	+	30.9346i	1.03868	+	1.03868i	0.999221	+	0.0394616i	$0.0125643\pi$
$887$	30.9346	+	30.9346i	1.03868	+	1.03868i	0.0394616	+	0.999221i	$0.487436\pi$
$888$	−36.0370	+	3.40549i	−1.20932	+	0.114281i
$889$	15.7542	−	15.7542i	0.528379	−	0.528379i
$890$	−3.68026	+	21.3117i	−0.123362	+	0.714371i
$891$	2.55861	+	0.847921i	0.0857166	+	0.0284064i
$892$	8.87813	+	18.6933i	0.297262	+	0.625897i
$893$	−5.67862	+	13.7094i	−0.190028	+	0.458767i
$894$	25.9798	+	9.45916i	0.868895	+	0.316362i
$895$		−	10.5971i		−	0.354222i
$896$	36.4234	+	37.8273i	1.21682	+	1.26372i
$897$	−2.76013	−	1.77257i	−0.0921579	−	0.0591843i
$898$	−22.4101	+	5.05132i	−0.747834	+	0.168565i
$899$	6.54585	+	2.71138i	0.218316	+	0.0904295i
$900$	−16.2904	−	13.6754i	−0.543012	−	0.455848i
$901$	2.62412	+	6.33518i	0.0874220	+	0.211055i
$902$	2.25446	+	0.389316i	0.0750654	+	0.0129628i
$903$	42.5172	−	9.26342i	1.41488	−	0.308267i
$904$	−32.3485	−	41.2449i	−1.07590	−	1.37179i
$905$	14.5752	−	14.5752i	0.484496	−	0.484496i
$906$	−2.07517	−	47.6511i	−0.0689429	−	1.58310i
$907$	−5.03654	−	12.1593i	−0.167235	−	0.403742i	0.817937	−	0.575307i	$-0.195118\pi$
$907$	−5.03654	−	12.1593i	−0.167235	−	0.403742i	−0.985173	+	0.171565i	$0.945118\pi$
$908$	22.6587	−	1.14975i	0.751956	−	0.0381557i
$909$	0.296751	+	8.16122i	0.00984261	+	0.270691i
$910$	6.58124	+	4.16010i	0.218166	+	0.137906i
$911$			32.5810i			1.07946i	0.841840	+	0.539728i	$0.181473\pi$
$911$			32.5810i			1.07946i	−0.841840	+	0.539728i	$0.818527\pi$
$912$	−16.8510	−	8.54871i	−0.557993	−	0.283076i
$913$			2.82055i			0.0933464i
$914$	3.03681	−	4.80420i	0.100449	−	0.158909i
$915$	−34.2805	−	49.3393i	−1.13328	−	1.63111i
$916$	28.6770	+	25.9073i	0.947516	+	0.856002i
$917$	−38.8587	−	93.8133i	−1.28323	−	3.09799i
$918$	−4.74037	−	9.27306i	−0.156456	−	0.306057i
$919$	−8.42914	+	8.42914i	−0.278052	+	0.278052i	−0.832331	−	0.554279i	$-0.812994\pi$
$919$	−8.42914	+	8.42914i	−0.278052	+	0.278052i	0.554279	+	0.832331i	$0.312994\pi$
$920$	−10.3822	−	37.1670i	−0.342293	−	1.22536i
$921$	−7.86841	−	36.1144i	−0.259273	−	1.19001i
$922$	−5.43475	+	31.4717i	−0.178984	+	1.03647i
$923$	−0.829774	−	2.00325i	−0.0273123	−	0.0659378i
$924$	−2.94452	−	3.81031i	−0.0968676	−	0.125350i
$925$	−24.1989	−	10.0235i	−0.795655	−	0.329571i
$926$	−6.95319	−	30.8477i	−0.228496	−	1.01372i
$927$	1.28430	−	0.587524i	0.0421821	−	0.0192968i
$928$	7.25773	−	6.31172i	0.238247	−	0.207192i
$929$			28.0122i			0.919051i	0.888165	+	0.459525i	$0.151981\pi$
$929$			28.0122i			0.919051i	−0.888165	+	0.459525i	$0.848019\pi$
$930$	−28.0365	−	10.2080i	−0.919353	−	0.334733i
$931$	15.1791	−	36.6456i	0.497474	−	1.20101i
$932$	−15.1491	+	42.5548i	−0.496224	+	1.39393i
$933$	−4.58879	+	25.4810i	−0.150230	+	0.834211i
$934$	−13.0496	−	2.25349i	−0.426996	−	0.0737366i
$935$	−0.877339	+	0.877339i	−0.0286920	+	0.0286920i
$936$	−0.288729	+	3.43093i	−0.00943739	+	0.112143i
$937$	−16.3178	−	16.3178i	−0.533079	−	0.533079i	0.388408	−	0.921487i	$-0.373025\pi$
$937$	−16.3178	−	16.3178i	−0.533079	−	0.533079i	−0.921487	+	0.388408i	$0.873025\pi$
$938$	−41.5184	−	58.8509i	−1.35562	−	1.92155i
$939$	−57.9991	−	10.4449i	−1.89273	−	0.340855i
$940$	23.6033	+	21.3237i	0.769856	+	0.695501i
$941$	−10.7582	−	4.45619i	−0.350707	−	0.145268i	0.200374	−	0.979720i	$-0.435784\pi$
$941$	−10.7582	−	4.45619i	−0.350707	−	0.145268i	−0.551081	+	0.834452i	$0.685784\pi$
$942$	−19.0959	+	8.90197i	−0.622178	+	0.290042i
$943$	−25.2112			−0.820991
$944$	13.7866	+	4.13365i	0.448715	+	0.134539i
$945$	69.7929	+	9.96578i	2.27036	+	0.324187i
$946$	1.22495	−	1.93786i	0.0398266	−	0.0630054i
$947$	−9.56768	+	23.0984i	−0.310908	+	0.750598i	0.688764	+	0.724985i	$0.258153\pi$
$947$	−9.56768	+	23.0984i	−0.310908	+	0.750598i	−0.999672	+	0.0256122i	$0.991847\pi$
$948$	−14.4883	−	8.29888i	−0.470559	−	0.269535i
$949$	2.06305	−	0.854544i	0.0669695	−	0.0277397i
$950$	−7.88193	−	11.1723i	−0.255723	−	0.362479i
$951$	39.5142	−	8.60914i	1.28134	−	0.279170i
$952$	−2.23289	+	18.4711i	−0.0723684	+	0.598651i
$953$	3.73365	+	3.73365i	0.120945	+	0.120945i	0.764989	−	0.644044i	$-0.222745\pi$
$953$	3.73365	+	3.73365i	0.120945	+	0.120945i	−0.644044	+	0.764989i	$0.722745\pi$
$954$	−5.23846	−	19.8481i	−0.169601	−	0.642605i
$955$	−50.7986	+	21.0415i	−1.64380	+	0.680886i
$956$	−19.3188	−	40.6765i	−0.624815	−	1.31557i
$957$	−0.724340	+	0.503265i	−0.0234146	+	0.0162682i
$958$	0.471255	+	2.09071i	0.0152256	+	0.0675479i
$959$	83.5622			2.69836
$960$	−29.3783	+	27.8844i	−0.948180	+	0.899966i
$961$	13.6359			0.439869
$962$	0.932321	+	4.13623i	0.0300592	+	0.133357i
$963$	−0.0465209	−	1.27942i	−0.00149912	−	0.0412286i
$964$	18.6951	+	39.3633i	0.602129	+	1.26781i
$965$	−30.1118	+	12.4727i	−0.969334	+	0.401511i
$966$	39.1196	+	35.8545i	1.25865	+	1.15360i
$967$	−32.6431	−	32.6431i	−1.04973	−	1.04973i	−0.998697	−	0.0510357i	$-0.983748\pi$
$967$	−32.6431	−	32.6431i	−1.04973	−	1.04973i	−0.0510357	−	0.998697i	$-0.516252\pi$
$968$	30.6360	+	3.70345i	0.984677	+	0.119033i
$969$	−1.42519	−	6.54132i	−0.0457836	−	0.210138i
$970$	26.2042	+	37.1436i	0.841368	+	1.19261i
$971$	51.2848	−	21.2429i	1.64581	−	0.681716i	0.648942	−	0.760838i	$-0.275212\pi$
$971$	51.2848	−	21.2429i	1.64581	−	0.681716i	0.996865	+	0.0791224i	$0.0252118\pi$
$972$	10.3357	+	29.4138i	0.331517	+	0.943449i
$973$	0.897811	−	2.16751i	0.0287825	−	0.0694871i
$974$	−11.4465	+	18.1083i	−0.366770	+	0.580227i
$975$	−1.34628	+	2.09634i	−0.0431155	+	0.0671367i
$976$	−41.7878	+	22.5094i	−1.33759	+	0.720509i
$977$	−25.6955			−0.822072			−0.411036	−	0.911619i	$-0.634833\pi$
$977$	−25.6955			−0.822072			−0.411036	+	0.911619i	$0.634833\pi$
$978$	12.9173	+	27.7094i	0.413051	+	0.886049i
$979$	−1.44755	−	0.599596i	−0.0462640	−	0.0191632i
$980$	−63.0923	−	56.9987i	−2.01541	−	1.82076i
$981$	10.4362	+	9.70386i	0.333201	+	0.309820i
$982$	−17.8733	−	25.3348i	−0.570361	−	0.808467i
$983$	40.5980	+	40.5980i	1.29487	+	1.29487i	0.931735	+	0.363140i	$0.118295\pi$
$983$	40.5980	+	40.5980i	1.29487	+	1.29487i	0.363140	+	0.931735i	$0.381705\pi$
$984$	12.3818	+	23.3867i	0.394718	+	0.745541i
$985$	−33.0322	+	33.0322i	−1.05249	+	1.05249i
$986$	3.35814	+	0.579906i	0.106945	+	0.0184680i
$987$	−43.0482	−	7.75242i	−1.37024	−	0.246762i
$988$	−0.742286	+	2.08513i	−0.0236153	+	0.0663370i
$989$	−9.66786	+	23.3403i	−0.307420	+	0.742177i
$990$	2.95524	−	2.25005i	0.0939236	−	0.0715113i
$991$			31.4960i			1.00050i	0.865880	+	0.500251i	$0.166759\pi$
$991$			31.4960i			1.00050i	−0.865880	+	0.500251i	$0.833241\pi$
$992$	−10.5135	+	21.0978i	−0.333802	+	0.669856i
$993$	26.1169	−	40.6676i	0.828795	−	1.29055i
$994$	7.71286	+	34.2180i	0.244637	+	1.08533i
$995$	2.62078	+	1.08556i	0.0830844	+	0.0344147i
$996$	−25.8141	+	19.9486i	−0.817952	+	0.632094i
$997$	−7.47755	−	18.0524i	−0.236816	−	0.571726i	0.760134	−	0.649767i	$-0.225133\pi$
$997$	−7.47755	−	18.0524i	−0.236816	−	0.571726i	−0.996950	+	0.0780412i	$0.975133\pi$
$998$	−2.67065	+	15.4653i	−0.0845378	+	0.489544i
$999$	23.0380	+	30.7131i	0.728889	+	0.971720i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.35.8	yes	56
3.2	odd	2	inner	96.2.o.a.35.7	yes	56
4.3	odd	2		384.2.o.a.47.5		56
8.3	odd	2		768.2.o.a.95.10		56
8.5	even	2		768.2.o.b.95.5		56
12.11	even	2		384.2.o.a.47.14		56
24.5	odd	2		768.2.o.b.95.14		56
24.11	even	2		768.2.o.a.95.1		56
32.5	even	8		768.2.o.a.671.1		56
32.11	odd	8	inner	96.2.o.a.11.7	✓	56
32.21	even	8		384.2.o.a.335.14		56
32.27	odd	8		768.2.o.b.671.14		56
96.5	odd	8		768.2.o.a.671.10		56
96.11	even	8	inner	96.2.o.a.11.8	yes	56
96.53	odd	8		384.2.o.a.335.5		56
96.59	even	8		768.2.o.b.671.5		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.7	✓	56	32.11	odd	8	inner
96.2.o.a.11.8	yes	56	96.11	even	8	inner
96.2.o.a.35.7	yes	56	3.2	odd	2	inner
96.2.o.a.35.8	yes	56	1.1	even	1	trivial
384.2.o.a.47.5		56	4.3	odd	2
384.2.o.a.47.14		56	12.11	even	2
384.2.o.a.335.5		56	96.53	odd	8
384.2.o.a.335.14		56	32.21	even	8
768.2.o.a.95.1		56	24.11	even	2
768.2.o.a.95.10		56	8.3	odd	2
768.2.o.a.671.1		56	32.5	even	8
768.2.o.a.671.10		56	96.5	odd	8
768.2.o.b.95.5		56	8.5	even	2
768.2.o.b.95.14		56	24.5	odd	2
768.2.o.b.671.5		56	96.59	even	8
768.2.o.b.671.14		56	32.27	odd	8

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:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	96.o (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.310967 + 1.37960i) q^{2} +(0.988287 + 1.42242i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(2.70066 - 1.11865i) q^{5} +(-1.65505 + 1.80577i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(-1.74552 - 2.22557i) q^{8} +(-1.04658 + 2.81152i) q^{9} +O(q^{10})\)	\(q+(0.310967 + 1.37960i) q^{2} +(0.988287 + 1.42242i) q^{3} +(-1.80660 + 0.858022i) q^{4} +(2.70066 - 1.11865i) q^{5} +(-1.65505 + 1.80577i) q^{6} +(-3.28204 - 3.28204i) q^{7} +(-1.74552 - 2.22557i) q^{8} +(-1.04658 + 2.81152i) q^{9} +(2.38311 + 3.37797i) q^{10} +(-0.276697 + 0.114612i) q^{11} +(-3.00591 - 1.72178i) q^{12} +(-0.155281 + 0.374881i) q^{13} +(3.50730 - 5.54851i) q^{14} +(4.26022 + 2.73593i) q^{15} +(2.52760 - 3.10020i) q^{16} +1.41723 q^{17} +(-4.20423 - 0.569569i) q^{18} +(-2.51972 - 1.04370i) q^{19} +(-3.91918 + 4.33817i) q^{20} +(1.42485 - 7.91204i) q^{21} +(-0.244162 - 0.346091i) q^{22} +(3.30034 + 3.30034i) q^{23} +(1.44063 - 4.68237i) q^{24} +(2.50664 - 2.50664i) q^{25} +(-0.565473 - 0.0976497i) q^{26} +(-5.03350 + 1.28991i) q^{27} +(8.74538 + 3.11326i) q^{28} +(0.650676 - 1.57087i) q^{29} +(-2.44971 + 6.72819i) q^{30} +4.16702i q^{31} +(5.06304 + 2.52301i) q^{32} +(-0.436482 - 0.280311i) q^{33} +(0.440711 + 1.95521i) q^{34} +(-12.5351 - 5.19221i) q^{35} +(-0.521602 - 5.97728i) q^{36} +(-2.82757 - 6.82635i) q^{37} +(0.656341 - 3.80076i) q^{38} +(-0.686701 + 0.149615i) q^{39} +(-7.20368 - 4.05787i) q^{40} +(-3.81949 + 3.81949i) q^{41} +(11.3585 - 0.494656i) q^{42} +(2.07136 + 5.00071i) q^{43} +(0.401541 - 0.444469i) q^{44} +(0.318658 + 8.76372i) q^{45} +(-3.52686 + 5.57945i) q^{46} -5.44085i q^{47} +(6.90779 + 0.531426i) q^{48} +14.5435i q^{49} +(4.23765 + 2.67868i) q^{50} +(1.40063 + 2.01590i) q^{51} +(-0.0411259 - 0.810493i) q^{52} +(1.85159 + 4.47012i) q^{53} +(-3.34482 - 6.54310i) q^{54} +(-0.619053 + 0.619053i) q^{55} +(-1.57553 + 13.0333i) q^{56} +(-1.00562 - 4.61558i) q^{57} +(2.36951 + 0.409184i) q^{58} +(1.37699 + 3.32434i) q^{59} +(-10.0440 - 1.28738i) q^{60} +(-10.9629 - 4.54098i) q^{61} +(-5.74883 + 1.29581i) q^{62} +(12.6624 - 5.79262i) q^{63} +(-1.90631 + 7.76955i) q^{64} +1.18613i q^{65} +(0.250986 - 0.689338i) q^{66} +(4.19888 - 10.1370i) q^{67} +(-2.56036 + 1.21601i) q^{68} +(-1.43280 + 7.95617i) q^{69} +(3.26517 - 18.9080i) q^{70} +(-3.77857 + 3.77857i) q^{71} +(8.08407 - 2.57834i) q^{72} +(-3.89137 - 3.89137i) q^{73} +(8.53836 - 6.02369i) q^{74} +(6.04279 + 1.08823i) q^{75} +(5.44763 - 0.276423i) q^{76} +(1.28429 + 0.531970i) q^{77} +(-0.419950 - 0.900848i) q^{78} +4.81995 q^{79} +(3.35814 - 11.2001i) q^{80} +(-6.80935 - 5.88497i) q^{81} +(-6.45711 - 4.08164i) q^{82} +(3.60399 - 8.70081i) q^{83} +(4.21456 + 15.5164i) q^{84} +(3.82744 - 1.58538i) q^{85} +(-6.25486 + 4.41271i) q^{86} +(2.87750 - 0.626933i) q^{87} +(0.738056 + 0.415751i) q^{88} +(3.69926 + 3.69926i) q^{89} +(-11.9913 + 3.16485i) q^{90} +(1.74001 - 0.720735i) q^{91} +(-8.79416 - 3.13063i) q^{92} +(-5.92727 + 4.11821i) q^{93} +(7.50620 - 1.69193i) q^{94} -7.97242 q^{95} +(1.41494 + 9.69525i) q^{96} +10.9958 q^{97} +(-20.0643 + 4.52256i) q^{98} +(-0.0326483 - 0.897890i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

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