LMFDB - Embedded newform 192.2.s.a.131.19

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			131.19
Character	$\chi$	$=$	192.131
Dual form			192.2.s.a.107.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.484976 + 1.32846i) q^{2} +(1.73189 + 0.0238074i) q^{3} +(-1.52960 + 1.28854i) q^{4} +(2.22872 - 3.33552i) q^{5} +(0.808297 + 2.31228i) q^{6} +(0.140254 + 0.338604i) q^{7} +(-2.45359 - 1.40709i) q^{8} +(2.99887 + 0.0824635i) q^{9} +O(q^{10})$	\(q+(0.484976 + 1.32846i) q^{2} +(1.73189 + 0.0238074i) q^{3} +(-1.52960 + 1.28854i) q^{4} +(2.22872 - 3.33552i) q^{5} +(0.808297 + 2.31228i) q^{6} +(0.140254 + 0.338604i) q^{7} +(-2.45359 - 1.40709i) q^{8} +(2.99887 + 0.0824635i) q^{9} +(5.51197 + 1.34312i) q^{10} +(-4.16199 + 0.827871i) q^{11} +(-2.67977 + 2.19519i) q^{12} +(-1.81231 + 1.21095i) q^{13} +(-0.381801 + 0.350537i) q^{14} +(3.93931 - 5.72369i) q^{15} +(0.679331 - 3.94189i) q^{16} +(-2.34477 + 2.34477i) q^{17} +(1.34483 + 4.02386i) q^{18} +(-5.58598 + 3.73243i) q^{19} +(0.888903 + 7.97380i) q^{20} +(0.234843 + 0.589763i) q^{21} +(-3.11826 - 5.12753i) q^{22} +(-0.561434 + 1.35542i) q^{23} +(-4.21584 - 2.49534i) q^{24} +(-4.24507 - 10.2485i) q^{25} +(-2.48762 - 1.82030i) q^{26} +(5.19174 + 0.214213i) q^{27} +(-0.650837 - 0.337204i) q^{28} +(-0.511665 + 2.57231i) q^{29} +(9.51414 + 2.45735i) q^{30} +7.17816 q^{31} +(5.56609 - 1.00926i) q^{32} +(-7.22781 + 1.33469i) q^{33} +(-4.25209 - 1.97777i) q^{34} +(1.44201 + 0.286833i) q^{35} +(-4.69331 + 3.73802i) q^{36} +(2.65038 - 3.96658i) q^{37} +(-7.66744 - 5.61059i) q^{38} +(-3.16755 + 2.05408i) q^{39} +(-10.1618 + 5.04797i) q^{40} +(5.19602 + 2.15226i) q^{41} +(-0.669581 + 0.598000i) q^{42} +(-0.439507 + 0.0874234i) q^{43} +(5.29942 - 6.62920i) q^{44} +(6.95870 - 9.81899i) q^{45} +(-2.07290 - 0.0884939i) q^{46} +(2.23583 + 2.23583i) q^{47} +(1.27037 - 6.81074i) q^{48} +(4.85477 - 4.85477i) q^{49} +(11.5560 - 10.6097i) q^{50} +(-4.11670 + 4.00506i) q^{51} +(1.21175 - 4.18749i) q^{52} +(-1.03488 - 5.20272i) q^{53} +(2.23329 + 7.00089i) q^{54} +(-6.51454 + 15.7275i) q^{55} +(0.132321 - 1.02815i) q^{56} +(-9.76314 + 6.33116i) q^{57} +(-3.66535 + 0.567786i) q^{58} +(-6.44677 - 4.30759i) q^{59} +(1.34964 + 13.8309i) q^{60} +(2.26118 - 11.3677i) q^{61} +(3.48123 + 9.53587i) q^{62} +(0.392682 + 1.02699i) q^{63} +(4.04018 + 6.90485i) q^{64} +8.74387i q^{65} +(-5.27840 - 8.95454i) q^{66} +(3.80620 + 0.757101i) q^{67} +(0.565223 - 6.60788i) q^{68} +(-1.00461 + 2.33407i) q^{69} +(0.318294 + 2.05475i) q^{70} +(3.54274 - 1.46745i) q^{71} +(-7.24195 - 4.42201i) q^{72} +(-8.70231 - 3.60462i) q^{73} +(6.55480 + 1.59722i) q^{74} +(-7.10800 - 17.8503i) q^{75} +(3.73490 - 12.9069i) q^{76} +(-0.864058 - 1.29315i) q^{77} +(-4.26494 - 3.21177i) q^{78} +(2.50332 + 2.50332i) q^{79} +(-11.6342 - 11.0513i) q^{80} +(8.98640 + 0.494594i) q^{81} +(-0.339242 + 7.94648i) q^{82} +(-1.65223 - 2.47273i) q^{83} +(-1.11915 - 0.599494i) q^{84} +(2.59519 + 13.0469i) q^{85} +(-0.329289 - 0.541468i) q^{86} +(-0.947386 + 4.44278i) q^{87} +(11.3767 + 3.82505i) q^{88} +(-11.1954 + 4.63728i) q^{89} +(16.4189 + 4.48236i) q^{90} +(-0.664216 - 0.443815i) q^{91} +(-0.887747 - 2.79668i) q^{92} +(12.4318 + 0.170893i) q^{93} +(-1.88588 + 4.05453i) q^{94} +26.9507i q^{95} +(9.66387 - 1.61541i) q^{96} +10.0855i q^{97} +(8.80379 + 4.09490i) q^{98} +(-12.5495 + 2.13946i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{16}\right)$

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 $

$2$	0.484976	+	1.32846i	0.342930	+	0.939361i
$2$	0.484976	+	1.32846i	0.342930	+	0.939361i
$3$	1.73189	+	0.0238074i	0.999906	+	0.0137452i
$3$	1.73189	+	0.0238074i	0.999906	+	0.0137452i
$4$	−1.52960	+	1.28854i	−0.764798	+	0.644270i
$5$	2.22872	−	3.33552i	0.996716	−	1.49169i	0.130857	−	0.991401i	$-0.458227\pi$
$5$	2.22872	−	3.33552i	0.996716	−	1.49169i	0.865858	−	0.500289i	$-0.166773\pi$
$6$	0.808297	+	2.31228i	0.329986	+	0.943986i
$7$	0.140254	+	0.338604i	0.0530112	+	0.127980i	0.948166	−	0.317774i	$-0.102935\pi$
$7$	0.140254	+	0.338604i	0.0530112	+	0.127980i	−0.895155	+	0.445755i	$0.852935\pi$
$8$	−2.45359	−	1.40709i	−0.867474	−	0.497482i
$9$	2.99887	+	0.0824635i	0.999622	+	0.0274878i
$10$	5.51197	+	1.34312i	1.74304	+	0.424731i
$11$	−4.16199	+	0.827871i	−1.25489	+	0.249613i	−0.777389	−	0.629020i	$-0.783456\pi$
$11$	−4.16199	+	0.827871i	−1.25489	+	0.249613i	−0.477498	+	0.878633i	$0.658456\pi$
$12$	−2.67977	+	2.19519i	−0.773582	+	0.633697i
$13$	−1.81231	+	1.21095i	−0.502644	+	0.335856i	−0.780905	−	0.624649i	$-0.785242\pi$
$13$	−1.81231	+	1.21095i	−0.502644	+	0.335856i	0.278261	+	0.960505i	$0.410242\pi$
$14$	−0.381801	+	0.350537i	−0.102041	+	0.0936849i
$15$	3.93931	−	5.72369i	1.01713	−	1.47785i
$16$	0.679331	−	3.94189i	0.169833	−	0.985473i
$17$	−2.34477	+	2.34477i	−0.568690	+	0.568690i	−0.931761	−	0.363071i	$-0.881728\pi$
$17$	−2.34477	+	2.34477i	−0.568690	+	0.568690i	0.363071	+	0.931761i	$0.381728\pi$
$18$	1.34483	+	4.02386i	0.316979	+	0.948432i
$19$	−5.58598	+	3.73243i	−1.28151	+	0.856278i	−0.994811	−	0.101742i	$-0.967558\pi$
$19$	−5.58598	+	3.73243i	−1.28151	+	0.856278i	−0.286700	+	0.958020i	$0.592558\pi$
$20$	0.888903	+	7.97380i	0.198765	+	1.78300i
$21$	0.234843	+	0.589763i	0.0512470	+	0.128697i
$22$	−3.11826	−	5.12753i	−0.664815	−	1.09319i
$23$	−0.561434	+	1.35542i	−0.117067	+	0.282625i	−0.971542	−	0.236868i	$-0.923879\pi$
$23$	−0.561434	+	1.35542i	−0.117067	+	0.282625i	0.854475	+	0.519493i	$0.173879\pi$
$24$	−4.21584	−	2.49534i	−0.860554	−	0.509359i
$25$	−4.24507	−	10.2485i	−0.849015	−	2.04970i
$26$	−2.48762	−	1.82030i	−0.487862	−	0.356989i
$27$	5.19174	+	0.214213i	0.999150	+	0.0412253i
$28$	−0.650837	−	0.337204i	−0.122997	−	0.0637256i
$29$	−0.511665	+	2.57231i	−0.0950138	+	0.477667i	0.903755	+	0.428051i	$0.140800\pi$
$29$	−0.511665	+	2.57231i	−0.0950138	+	0.477667i	−0.998768	+	0.0496157i	$0.984200\pi$
$30$	9.51414	+	2.45735i	1.73704	+	0.448649i
$31$	7.17816			1.28924			0.644618	−	0.764505i	$-0.277017\pi$
$31$	7.17816			1.28924			0.644618	+	0.764505i	$0.277017\pi$
$32$	5.56609	−	1.00926i	0.983956	−	0.178414i
$33$	−7.22781	+	1.33469i	−1.25820	+	0.232340i
$34$	−4.25209	−	1.97777i	−0.729227	−	0.339185i
$35$	1.44201	+	0.286833i	0.243744	+	0.0484837i
$36$	−4.69331	+	3.73802i	−0.782219	+	0.623004i
$37$	2.65038	−	3.96658i	0.435720	−	0.652101i	−0.547014	−	0.837123i	$-0.684236\pi$
$37$	2.65038	−	3.96658i	0.435720	−	0.652101i	0.982734	+	0.185022i	$0.0592357\pi$
$38$	−7.66744	−	5.61059i	−1.24382	−	0.910158i
$39$	−3.16755	+	2.05408i	−0.507213	+	0.328916i
$40$	−10.1618	+	5.04797i	−1.60671	+	0.798155i
$41$	5.19602	+	2.15226i	0.811482	+	0.336127i	0.749545	−	0.661953i	$-0.230272\pi$
$41$	5.19602	+	2.15226i	0.811482	+	0.336127i	0.0619368	+	0.998080i	$0.480272\pi$
$42$	−0.669581	+	0.598000i	−0.103319	+	0.0922735i
$43$	−0.439507	+	0.0874234i	−0.0670242	+	0.0133319i	−0.228489	−	0.973547i	$-0.573378\pi$
$43$	−0.439507	+	0.0874234i	−0.0670242	+	0.0133319i	0.161464	+	0.986879i	$0.448378\pi$
$44$	5.29942	−	6.62920i	0.798918	−	0.999389i
$45$	6.95870	−	9.81899i	1.03734	−	1.46373i
$46$	−2.07290	−	0.0884939i	−0.305633	−	0.0130477i
$47$	2.23583	+	2.23583i	0.326129	+	0.326129i	0.851113	−	0.524983i	$-0.175928\pi$
$47$	2.23583	+	2.23583i	0.326129	+	0.326129i	−0.524983	+	0.851113i	$0.675928\pi$
$48$	1.27037	−	6.81074i	0.183362	−	0.983045i
$49$	4.85477	−	4.85477i	0.693538	−	0.693538i
$50$	11.5560	−	10.6097i	1.63426	−	1.50044i
$51$	−4.11670	+	4.00506i	−0.576454	+	0.560820i
$52$	1.21175	−	4.18749i	0.168040	−	0.580701i
$53$	−1.03488	−	5.20272i	−0.142152	−	0.714648i	−0.984454	−	0.175642i	$-0.943800\pi$
$53$	−1.03488	−	5.20272i	−0.142152	−	0.714648i	0.842302	−	0.539006i	$-0.181200\pi$
$54$	2.23329	+	7.00089i	0.303913	+	0.952700i
$55$	−6.51454	+	15.7275i	−0.878421	+	2.12070i
$56$	0.132321	−	1.02815i	0.0176821	−	0.137392i
$57$	−9.76314	+	6.33116i	−1.29316	+	0.838583i
$58$	−3.66535	+	0.567786i	−0.481285	+	0.0745539i
$59$	−6.44677	−	4.30759i	−0.839298	−	0.560801i	0.0599697	−	0.998200i	$-0.480900\pi$
$59$	−6.44677	−	4.30759i	−0.839298	−	0.560801i	−0.899267	+	0.437399i	$0.855900\pi$
$60$	1.34964	+	13.8309i	0.174238	+	1.78556i
$61$	2.26118	−	11.3677i	0.289514	−	1.45548i	−0.512762	−	0.858531i	$-0.671378\pi$
$61$	2.26118	−	11.3677i	0.289514	−	1.45548i	0.802276	−	0.596954i	$-0.203622\pi$
$62$	3.48123	+	9.53587i	0.442117	+	1.21106i
$63$	0.392682	+	1.02699i	0.0494732	+	0.129389i
$64$	4.04018	+	6.90485i	0.505023	+	0.863106i
$65$			8.74387i			1.08454i
$66$	−5.27840	−	8.95454i	−0.649726	−	1.10223i
$67$	3.80620	+	0.757101i	0.465002	+	0.0924946i	0.422030	−	0.906582i	$-0.361318\pi$
$67$	3.80620	+	0.757101i	0.465002	+	0.0924946i	0.0429713	+	0.999076i	$0.486318\pi$
$68$	0.565223	−	6.60788i	0.0685433	−	0.801324i
$69$	−1.00461	+	2.33407i	−0.120941	+	0.280989i
$70$	0.318294	+	2.05475i	0.0380434	+	0.245590i
$71$	3.54274	−	1.46745i	0.420446	−	0.174154i	−0.162422	−	0.986721i	$-0.551931\pi$
$71$	3.54274	−	1.46745i	0.420446	−	0.174154i	0.582868	+	0.812567i	$0.301931\pi$
$72$	−7.24195	−	4.42201i	−0.853472	−	0.521139i
$73$	−8.70231	−	3.60462i	−1.01853	−	0.421888i	−0.189970	−	0.981790i	$-0.560839\pi$
$73$	−8.70231	−	3.60462i	−1.01853	−	0.421888i	−0.828559	+	0.559902i	$0.810839\pi$
$74$	6.55480	+	1.59722i	0.761980	+	0.185673i
$75$	−7.10800	−	17.8503i	−0.820761	−	2.06118i
$76$	3.73490	−	12.9069i	0.428423	−	1.48052i
$77$	−0.864058	−	1.29315i	−0.0984685	−	0.147369i
$78$	−4.26494	−	3.21177i	−0.482909	−	0.363662i
$79$	2.50332	+	2.50332i	0.281645	+	0.281645i	0.833765	−	0.552120i	$-0.186181\pi$
$79$	2.50332	+	2.50332i	0.281645	+	0.281645i	−0.552120	+	0.833765i	$0.686181\pi$
$80$	−11.6342	−	11.0513i	−1.30075	−	1.23557i
$81$	8.98640	+	0.494594i	0.998489	+	0.0549549i
$82$	−0.339242	+	7.94648i	−0.0374631	+	0.877542i
$83$	−1.65223	−	2.47273i	−0.181356	−	0.271418i	0.729642	−	0.683829i	$-0.239687\pi$
$83$	−1.65223	−	2.47273i	−0.181356	−	0.271418i	−0.910998	+	0.412411i	$0.864687\pi$
$84$	−1.11915	−	0.599494i	−0.122109	−	0.0654102i
$85$	2.59519	+	13.0469i	0.281487	+	1.41513i
$86$	−0.329289	−	0.541468i	−0.0355081	−	0.0583880i
$87$	−0.947386	+	4.44278i	−0.101570	+	0.476316i
$88$	11.3767	+	3.82505i	1.21276	+	0.407752i
$89$	−11.1954	+	4.63728i	−1.18671	+	0.491551i	−0.886682	−	0.462379i	$-0.846996\pi$
$89$	−11.1954	+	4.63728i	−1.18671	+	0.491551i	−0.300027	+	0.953931i	$0.596996\pi$
$90$	16.4189	+	4.48236i	1.73071	+	0.472483i
$91$	−0.664216	−	0.443815i	−0.0696288	−	0.0465245i
$92$	−0.887747	−	2.79668i	−0.0925540	−	0.291574i
$93$	12.4318	+	0.170893i	1.28911	+	0.0177208i
$94$	−1.88588	+	4.05453i	−0.194514	+	0.418193i
$95$			26.9507i			2.76508i
$96$	9.66387	−	1.61541i	0.986315	−	0.164872i
$97$			10.0855i			1.02403i	0.858977	+	0.512014i	$0.171100\pi$
$97$			10.0855i			1.02403i	−0.858977	+	0.512014i	$0.828900\pi$
$98$	8.80379	+	4.09490i	0.889317	+	0.413648i
$99$	−12.5495	+	2.13946i	−1.26127	+	0.215024i
$100$	19.6989	+	10.2061i	1.96989	+	1.02061i
$101$	0.0228565	+	0.0152722i	0.00227431	+	0.00151964i	0.556707	−	0.830709i	$-0.312065\pi$
$101$	0.0228565	+	0.0152722i	0.00227431	+	0.00151964i	−0.554433	+	0.832229i	$0.687065\pi$
$102$	−7.31705	−	3.52651i	−0.724496	−	0.349176i
$103$	1.11844	−	0.463273i	0.110203	−	0.0456477i	−0.326901	−	0.945059i	$-0.606004\pi$
$103$	1.11844	−	0.463273i	0.110203	−	0.0456477i	0.437104	+	0.899411i	$0.356004\pi$
$104$	6.15058	−	0.421076i	0.603114	−	0.0412899i
$105$	2.49057	+	0.531094i	0.243055	+	0.0518294i
$106$	6.40969	−	3.89799i	0.622564	−	0.378607i
$107$	1.80798	+	9.08932i	0.174784	+	0.878698i	0.964268	+	0.264927i	$0.0853480\pi$
$107$	1.80798	+	9.08932i	0.174784	+	0.878698i	−0.789485	+	0.613770i	$0.789652\pi$
$108$	−8.21728	+	6.36210i	−0.790708	+	0.612193i
$109$	1.95411	+	2.92454i	0.187170	+	0.280120i	0.913173	−	0.407572i	$-0.133624\pi$
$109$	1.95411	+	2.92454i	0.187170	+	0.280120i	−0.726003	+	0.687691i	$0.758624\pi$
$110$	−24.0527	−	1.02683i	−2.29334	−	0.0979045i
$111$	4.68460	−	6.80656i	0.444642	−	0.646050i
$112$	1.43002	−	0.322843i	0.135124	−	0.0305058i
$113$	12.9804	+	12.9804i	1.22110	+	1.22110i	0.967243	+	0.253852i	$0.0816977\pi$
$113$	12.9804	+	12.9804i	1.22110	+	1.22110i	0.253852	+	0.967243i	$0.418302\pi$
$114$	−13.1456	−	9.89945i	−1.23119	−	0.927168i
$115$	3.26975	+	4.89353i	0.304906	+	0.456324i
$116$	−2.53189	−	4.59390i	−0.235080	−	0.426533i
$117$	−5.53474	+	3.48202i	−0.511687	+	0.321913i
$118$	2.59592	−	10.6533i	0.238974	−	0.980719i
$119$	−1.12281	−	0.465084i	−0.102928	−	0.0426342i
$120$	−17.7192	+	8.50059i	−1.61753	+	0.775995i
$121$	6.47411	−	2.68166i	0.588556	−	0.243788i
$122$	16.1981	−	2.50919i	1.46651	−	0.227171i
$123$	8.94768	+	3.85118i	0.806785	+	0.347249i
$124$	−10.9797	+	9.24934i	−0.986005	+	0.830615i
$125$	−23.9727	−	4.76846i	−2.14418	−	0.426504i
$126$	−1.17388	+	1.01973i	−0.104577	+	0.0908446i
$127$		−	14.4290i		−	1.28037i	−0.768222	−	0.640184i	$-0.778858\pi$
$127$		−	14.4290i		−	1.28037i	0.768222	−	0.640184i	$-0.221142\pi$
$128$	−7.21340	+	8.71589i	−0.637581	+	0.770384i
$129$	−0.763258	+	0.140944i	−0.0672011	+	0.0124094i
$130$	−11.6159	+	4.24057i	−1.01878	+	0.371922i
$131$	2.97311	−	14.9468i	0.259762	−	1.30591i	−0.601958	−	0.798528i	$-0.705613\pi$
$131$	2.97311	−	14.9468i	0.259762	−	1.30591i	0.861720	−	0.507384i	$-0.169387\pi$
$132$	9.33582	−	11.3549i	0.812579	−	0.988313i
$133$	−2.04727	−	1.36794i	−0.177521	−	0.118616i
$134$	0.840141	+	5.42355i	0.0725771	+	0.468523i
$135$	12.2855	−	16.8397i	1.05736	−	1.44933i
$136$	9.05241	−	2.45379i	0.776238	−	0.210411i
$137$	0.0142442	−	0.0343885i	0.00121696	−	0.00293800i	−0.923270	−	0.384152i	$-0.874494\pi$
$137$	0.0142442	−	0.0343885i	0.00121696	−	0.00293800i	0.924487	+	0.381214i	$0.124494\pi$
$138$	−3.58792	−	0.202612i	−0.305424	−	0.0172475i
$139$	0.748199	+	3.76145i	0.0634614	+	0.319042i	0.999456	−	0.0329715i	$-0.0104971\pi$
$139$	0.748199	+	3.76145i	0.0634614	+	0.319042i	−0.935995	+	0.352014i	$0.885497\pi$
$140$	−2.57529	+	1.41935i	−0.217652	+	0.119957i
$141$	3.81898	+	3.92544i	0.321616	+	0.330581i
$142$	3.66759	+	3.99470i	0.307777	+	0.335228i
$143$	6.54031	−	6.54031i	0.546928	−	0.546928i
$144$	2.36228	−	11.7652i	0.196857	−	0.980432i
$145$	7.43965	+	7.43965i	0.617829	+	0.617829i
$146$	0.568164	−	13.3088i	0.0470216	−	1.10144i
$147$	8.52349	−	8.29233i	0.703005	−	0.683940i
$148$	1.05708	+	9.48238i	0.0868912	+	0.779447i
$149$	−5.53720	+	1.10142i	−0.453625	+	0.0902316i	−0.416614	−	0.909083i	$-0.636783\pi$
$149$	−5.53720	+	1.10142i	−0.453625	+	0.0902316i	−0.0370105	+	0.999315i	$0.511783\pi$
$150$	20.2662	−	18.0997i	1.65473	−	1.47783i
$151$	−22.1679	−	9.18223i	−1.80400	−	0.747239i	−0.984792	−	0.173735i	$-0.944416\pi$
$151$	−22.1679	−	9.18223i	−1.80400	−	0.747239i	−0.819203	−	0.573504i	$-0.805584\pi$
$152$	18.9576	−	1.29786i	1.53766	−	0.105270i
$153$	−7.22501	+	6.83830i	−0.584108	+	0.552844i
$154$	1.29885	−	1.77501i	0.104664	−	0.143035i
$155$	15.9981	−	23.9429i	1.28500	−	1.92314i
$156$	2.19831	−	7.22342i	0.176005	−	0.578336i
$157$	−14.2842	−	2.84130i	−1.14000	−	0.226761i	−0.411240	−	0.911527i	$-0.634904\pi$
$157$	−14.2842	−	2.84130i	−1.14000	−	0.226761i	−0.728763	+	0.684766i	$0.759904\pi$
$158$	−2.11150	+	4.53960i	−0.167982	+	0.361151i
$159$	−1.66844	−	9.03516i	−0.132316	−	0.716535i
$160$	9.03887	−	20.8152i	0.714586	−	1.64559i
$161$	−0.537695			−0.0423763
$162$	3.70114	+	12.1779i	0.290789	+	0.956787i
$163$	−0.412821	+	2.07539i	−0.0323346	+	0.162557i	−0.993579	−	0.113141i	$-0.963909\pi$
$163$	−0.412821	+	2.07539i	−0.0323346	+	0.162557i	0.961244	+	0.275698i	$0.0889089\pi$
$164$	−10.7211	+	3.40319i	−0.837176	+	0.265744i
$165$	−11.6569	+	27.0832i	−0.907487	+	2.10842i
$166$	2.48363	−	3.39413i	0.192767	−	0.263436i
$167$	−1.47763	−	3.56732i	−0.114343	−	0.276047i	0.856340	−	0.516412i	$-0.172733\pi$
$167$	−1.47763	−	3.56732i	−0.114343	−	0.276047i	−0.970683	+	0.240365i	$0.922733\pi$
$168$	0.253642	−	1.77748i	0.0195689	−	0.137136i
$169$	−3.15681	+	7.62121i	−0.242831	+	0.586247i
$170$	−16.0736	+	9.77502i	−1.23279	+	0.749710i
$171$	−17.0594	+	10.7324i	−1.30456	+	0.820729i
$172$	0.559620	−	0.700045i	0.0426706	−	0.0533779i
$173$	16.3732	−	10.9402i	1.24483	−	0.831771i	0.254045	−	0.967192i	$-0.418239\pi$
$173$	16.3732	−	10.9402i	1.24483	−	0.831771i	0.990788	+	0.135421i	$0.0432388\pi$
$174$	−6.36150	+	0.896078i	−0.482264	+	0.0679315i
$175$	2.87480	−	2.87480i	0.217314	−	0.217314i
$176$	0.436011	+	16.9685i	0.0328656	+	1.27905i
$177$	−11.0625	−	7.61374i	−0.831510	−	0.572284i
$178$	−11.5899	−	12.6236i	−0.868702	−	0.946181i
$179$	−2.39937	+	1.60321i	−0.179337	+	0.119829i	−0.641999	−	0.766706i	$-0.721895\pi$
$179$	−2.39937	+	1.60321i	−0.179337	+	0.119829i	0.462661	+	0.886535i	$0.346895\pi$
$180$	2.00815	+	23.9857i	0.149679	+	1.78779i
$181$	−0.427803	+	0.0850953i	−0.0317983	+	0.00632508i	−0.210964	−	0.977494i	$-0.567660\pi$
$181$	−0.427803	+	0.0850953i	−0.0317983	+	0.00632508i	0.179166	+	0.983819i	$0.442660\pi$
$182$	0.267460	−	1.09762i	0.0198255	−	0.0813612i
$183$	4.18674	−	19.6337i	0.309493	−	1.45137i
$184$	3.28473	−	2.53565i	0.242153	−	0.186931i
$185$	−7.32363	−	17.6808i	−0.538444	−	1.29992i
$186$	5.80208	+	16.5979i	0.425429	+	1.21702i
$187$	7.81774	−	11.7001i	0.571690	−	0.855595i
$188$	−6.30088	−	0.538962i	−0.459539	−	0.0393079i
$189$	0.655630	+	1.78799i	0.0476901	+	0.130057i
$190$	−35.8028	+	13.0704i	−2.59741	+	0.948230i
$191$	−8.44165			−0.610817			−0.305408	−	0.952221i	$-0.598793\pi$
$191$	−8.44165			−0.610817			−0.305408	+	0.952221i	$0.598793\pi$
$192$	6.83275	+	12.0546i	0.493111	+	0.869966i
$193$	14.2667			1.02694			0.513468	−	0.858109i	$-0.328360\pi$
$193$	14.2667			1.02694			0.513468	+	0.858109i	$0.328360\pi$
$194$	−13.3982	+	4.89123i	−0.961932	+	0.351170i
$195$	−0.208169	+	15.1434i	−0.0149073	+	1.08444i
$196$	−1.17027	+	13.6814i	−0.0835910	+	0.977242i
$197$	−4.86093	+	7.27490i	−0.346327	+	0.518315i	−0.963214	−	0.268737i	$-0.913394\pi$
$197$	−4.86093	+	7.27490i	−0.346327	+	0.518315i	0.616886	+	0.787052i	$0.288394\pi$
$198$	−8.92840	−	15.6339i	−0.634514	−	1.11105i
$199$	7.01661	+	16.9396i	0.497394	+	1.20082i	0.950882	+	0.309553i	$0.100179\pi$
$199$	7.01661	+	16.9396i	0.497394	+	1.20082i	−0.453488	+	0.891262i	$0.649821\pi$
$200$	−4.00495	+	31.1188i	−0.283193	+	2.20043i
$201$	6.57389	+	1.40183i	0.463686	+	0.0988774i
$202$	−0.00920365	+	0.0377706i	−0.000647566	+	0.00265753i
$203$	−0.942759	+	0.187526i	−0.0661687	+	0.0131618i
$204$	1.13622	−	11.4307i	0.0795512	−	0.800306i
$205$	18.7594	−	12.5346i	1.31021	−	0.875457i
$206$	1.15786	+	1.26112i	0.0806716	+	0.0878666i
$207$	−1.79544	+	4.01843i	−0.124792	+	0.279300i
$208$	3.54226	+	7.96656i	0.245612	+	0.552382i
$209$	20.1588	−	20.1588i	1.39441	−	1.39441i
$210$	0.502331	+	3.56618i	0.0346641	+	0.246090i
$211$	−2.22777	+	1.48855i	−0.153366	+	0.102476i	−0.629885	−	0.776688i	$-0.716898\pi$
$211$	−2.22777	+	1.48855i	−0.153366	+	0.102476i	0.476520	+	0.879164i	$0.341898\pi$
$212$	8.28686	+	6.62457i	0.569144	+	0.454977i
$213$	6.17056	−	2.45712i	0.422800	−	0.168359i
$214$	−11.1979	+	6.80992i	−0.765476	+	0.465517i
$215$	−0.687938	+	1.66083i	−0.0469170	+	0.113268i
$216$	−12.4370	−	7.83084i	−0.846228	−	0.532821i
$217$	1.00677	+	2.43055i	0.0683439	+	0.164997i
$218$	−2.93742	+	4.01428i	−0.198947	+	0.271882i
$219$	−14.9856	−	6.44997i	−1.01263	−	0.435848i
$220$	−10.3009	−	32.4510i	−0.694486	−	2.18784i
$221$	1.41006	−	7.08885i	0.0948508	−	0.476847i
$222$	11.3141	+	2.92226i	0.759356	+	0.196130i
$223$	−2.59755			−0.173945			−0.0869723	−	0.996211i	$-0.527719\pi$
$223$	−2.59755			−0.173945			−0.0869723	+	0.996211i	$0.527719\pi$
$224$	1.12241	+	1.74315i	0.0749941	+	0.116469i
$225$	−11.8853	−	31.0840i	−0.792352	−	2.07227i
$226$	−10.9487	+	23.5391i	−0.728299	+	1.56580i
$227$	−5.53623	−	1.10122i	−0.367452	−	0.0730908i	0.00791067	−	0.999969i	$-0.497482\pi$
$227$	−5.53623	−	1.10122i	−0.367452	−	0.0730908i	−0.375363	+	0.926878i	$0.622482\pi$
$228$	6.77571	−	22.2643i	0.448733	−	1.47449i
$229$	−2.89283	+	4.32943i	−0.191164	+	0.286097i	−0.914654	−	0.404238i	$-0.867537\pi$
$229$	−2.89283	+	4.32943i	−0.191164	+	0.286097i	0.723490	+	0.690335i	$0.242537\pi$
$230$	−4.91510	+	6.71698i	−0.324092	+	0.442904i
$231$	−1.46566	−	2.26017i	−0.0964336	−	0.148708i
$232$	4.87490	−	5.59144i	0.320053	−	0.367096i
$233$	25.1634	+	10.4230i	1.64851	+	0.682836i	0.997115	−	0.0759023i	$-0.0241837\pi$
$233$	25.1634	+	10.4230i	1.64851	+	0.682836i	0.651396	+	0.758738i	$0.274184\pi$
$234$	−7.30993	−	5.66396i	−0.477865	−	0.370265i
$235$	12.4407	−	2.47461i	0.811543	−	0.161426i
$236$	15.4115	−	1.71804i	1.00320	−	0.111835i
$237$	4.27586	+	4.39506i	0.277747	+	0.285490i
$238$	0.0733072	−	1.71716i	0.00475180	−	0.111307i
$239$	−17.0796	−	17.0796i	−1.10479	−	1.10479i	−0.993824	−	0.110963i	$-0.964606\pi$
$239$	−17.0796	−	17.0796i	−1.10479	−	1.10479i	−0.110963	−	0.993824i	$-0.535394\pi$
$240$	−19.8861	−	19.4166i	−1.28364	−	1.25334i
$241$	−12.8300	+	12.8300i	−0.826450	+	0.826450i	−0.987024	−	0.160574i	$-0.948666\pi$
$241$	−12.8300	+	12.8300i	−0.826450	+	0.826450i	0.160574	+	0.987024i	$0.448666\pi$
$242$	6.70227	+	7.30004i	0.430838	+	0.469264i
$243$	15.5517	+	1.07052i	0.997639	+	0.0686741i
$244$	11.1890	+	20.3016i	0.716305	+	1.29968i
$245$	−5.37324	−	27.0131i	−0.343284	−	1.72580i
$246$	−0.776715	+	13.7543i	−0.0495215	+	0.876945i
$247$	5.60375	−	13.5286i	0.356558	−	0.860807i
$248$	−17.6122	−	10.1003i	−1.11838	−	0.641372i
$249$	−2.80260	−	4.32183i	−0.177608	−	0.273885i
$250$	−5.29147	−	34.1592i	−0.334662	−	2.16042i
$251$	3.99447	+	2.66902i	0.252129	+	0.168467i	0.675212	−	0.737624i	$-0.264052\pi$
$251$	3.99447	+	2.66902i	0.252129	+	0.168467i	−0.423083	+	0.906091i	$0.639052\pi$
$252$	−1.92397	−	1.06490i	−0.121199	−	0.0670824i
$253$	1.21457	−	6.10604i	0.0763592	−	0.383884i
$254$	19.1683	−	6.99772i	1.20273	−	0.439076i
$255$	4.18396	+	22.6575i	0.262010	+	1.41887i
$256$	−15.0770	−	5.35570i	−0.942314	−	0.334731i
$257$			9.78815i			0.610568i	0.952261	+	0.305284i	$0.0987514\pi$
$257$			9.78815i			0.610568i	−0.952261	+	0.305284i	$0.901249\pi$
$258$	−0.557400	−	0.945601i	−0.0347022	−	0.0588706i
$259$	1.71483	+	0.341100i	0.106554	+	0.0211949i
$260$	−11.2668	−	13.3746i	−0.698739	−	0.829457i
$261$	−1.74654	+	7.67183i	−0.108108	+	0.474875i
$262$	21.2981	−	3.29921i	1.31580	−	0.203826i
$263$	−6.98342	+	2.89263i	−0.430616	+	0.178367i	−0.587454	−	0.809257i	$-0.699870\pi$
$263$	−6.98342	+	2.89263i	−0.430616	+	0.178367i	0.156838	+	0.987624i	$0.449870\pi$
$264$	19.6121	+	6.89540i	1.20704	+	0.424383i
$265$	−19.6602	−	8.14354i	−1.20772	−	0.500254i
$266$	0.824377	−	3.38313i	0.0505458	−	0.207433i
$267$	−19.4996	+	7.76472i	−1.19335	+	0.475193i
$268$	−6.79751	+	3.74638i	−0.415224	+	0.228847i
$269$	13.1871	+	19.7359i	0.804034	+	1.20332i	0.975904	+	0.218202i	$0.0700190\pi$
$269$	13.1871	+	19.7359i	0.804034	+	1.20332i	−0.171870	+	0.985120i	$0.554981\pi$
$270$	28.3290	+	8.15384i	1.72405	+	0.496227i
$271$	17.2260	+	17.2260i	1.04640	+	1.04640i	0.998870	+	0.0475332i	$0.0151360\pi$
$271$	17.2260	+	17.2260i	1.04640	+	1.04640i	0.0475332	+	0.998870i	$0.484864\pi$
$272$	7.64996	+	10.8357i	0.463847	+	0.657011i
$273$	−1.13978	−	0.784451i	−0.0689827	−	0.0474771i
$274$	0.0525917	+	0.00224518i	0.00317718	+	0.000135637i
$275$	26.1524	+	39.1398i	1.57705	+	2.36022i
$276$	−1.47090	−	4.86466i	−0.0885375	−	0.292818i
$277$	−2.48800	−	12.5080i	−0.149489	−	0.751533i	−0.980691	−	0.195562i	$-0.937347\pi$
$277$	−2.48800	−	12.5080i	−0.149489	−	0.751533i	0.831202	−	0.555970i	$-0.187653\pi$
$278$	−4.63407	+	2.81816i	−0.277933	+	0.169022i
$279$	21.5263	+	0.591936i	1.28875	+	0.0354383i
$280$	−3.13449	−	2.73281i	−0.187322	−	0.163317i
$281$	10.4632	−	4.33399i	0.624181	−	0.258544i	−0.0480973	−	0.998843i	$-0.515316\pi$
$281$	10.4632	−	4.33399i	0.624181	−	0.258544i	0.672278	+	0.740298i	$0.265316\pi$
$282$	−3.36266	+	6.97709i	−0.200244	+	0.415480i
$283$	−19.3945	−	12.9590i	−1.15289	−	0.770333i	−0.176062	−	0.984379i	$-0.556336\pi$
$283$	−19.3945	−	12.9590i	−1.15289	−	0.770333i	−0.976824	+	0.214046i	$0.931336\pi$
$284$	−3.52809	+	6.80957i	−0.209354	+	0.404073i
$285$	−0.641626	+	46.6756i	−0.0380067	+	2.76482i
$286$	11.8604	+	5.51663i	0.701321	+	0.326205i
$287$			2.06126i			0.121672i
$288$	16.7752	−	2.56764i	0.988488	−	0.151300i
$289$			6.00410i			0.353182i
$290$	−6.27520	+	13.4913i	−0.368493	+	0.792237i
$291$	−0.240110	+	17.4670i	−0.0140755	+	1.02393i
$292$	17.9557	−	5.69967i	1.05078	−	0.333548i
$293$	14.1470	+	9.45270i	0.826475	+	0.552233i	0.895335	−	0.445393i	$-0.146936\pi$
$293$	14.1470	+	9.45270i	0.826475	+	0.552233i	−0.0688600	+	0.997626i	$0.521936\pi$
$294$	15.1497	+	7.30151i	0.883548	+	0.425832i
$295$	−28.7361	+	11.9029i	−1.67308	+	0.693013i
$296$	−12.0843	+	6.00301i	−0.702385	+	0.348918i
$297$	−21.7853	+	3.40654i	−1.26411	+	0.197667i
$298$	−4.14859	−	6.82177i	−0.240322	−	0.395174i
$299$	−0.623851	−	3.13631i	−0.0360782	−	0.181378i
$300$	33.8732	+	18.1449i	1.95567	+	1.04759i
$301$	−0.0912447	−	0.136557i	−0.00525926	−	0.00787104i
$302$	1.44732	−	33.9022i	0.0832836	−	1.95085i
$303$	0.0392213	+	0.0269939i	0.00225321	+	0.00155076i
$304$	10.9181	+	24.5549i	0.626196	+	1.40832i
$305$	−32.8777	−	32.8777i	−1.88257	−	1.88257i
$306$	−12.5883	−	6.28171i	−0.719628	−	0.359101i
$307$	−0.832524	−	1.24596i	−0.0475146	−	0.0711107i	0.806952	−	0.590617i	$-0.201116\pi$
$307$	−0.832524	−	1.24596i	−0.0475146	−	0.0711107i	−0.854466	+	0.519507i	$0.826116\pi$
$308$	2.98794	+	0.864631i	0.170254	+	0.0492669i
$309$	1.94804	−	0.775710i	0.110820	−	0.0441286i
$310$	39.5658	+	9.64110i	2.24719	+	0.547578i
$311$	−22.5180	−	9.32727i	−1.27688	−	0.528901i	−0.361831	−	0.932244i	$-0.617848\pi$
$311$	−22.5180	−	9.32727i	−1.27688	−	0.528901i	−0.915049	+	0.403343i	$0.867848\pi$
$312$	10.6621	−	0.582828i	0.603624	−	0.0329961i
$313$	5.19710	−	2.15271i	0.293757	−	0.121678i	−0.230938	−	0.972969i	$-0.574179\pi$
$313$	5.19710	−	2.15271i	0.293757	−	0.121678i	0.524695	+	0.851290i	$0.324179\pi$
$314$	−3.15294	−	20.3539i	−0.177931	−	1.14864i
$315$	4.30074	+	0.979088i	0.242319	+	0.0551654i
$316$	−7.05469	−	0.603441i	−0.396857	−	0.0339462i
$317$	18.2362	+	3.62741i	1.02425	+	0.203736i	0.678507	−	0.734594i	$-0.262627\pi$
$317$	18.2362	+	3.62741i	1.02425	+	0.203736i	0.345742	+	0.938330i	$0.387627\pi$
$318$	11.1937	−	6.59829i	0.627710	−	0.370014i
$319$		−	11.1295i		−	0.623134i
$320$	32.0357	+	1.91289i	1.79085	+	0.106934i
$321$	2.91482	+	15.7847i	0.162689	+	0.881017i
$322$	−0.260769	−	0.714304i	−0.0145321	−	0.0398066i
$323$	4.34614	−	21.8495i	0.241826	−	1.21574i
$324$	−14.3829	+	10.8228i	−0.799048	+	0.601267i
$325$	20.1038	+	13.4329i	1.11516	+	0.745125i
$326$	−2.95728	+	0.458100i	−0.163788	+	0.0253718i
$327$	3.31468	+	5.11149i	0.183302	+	0.282666i
$328$	−9.72046	−	12.5920i	−0.536722	−	0.695279i
$329$	−0.443476	+	1.07065i	−0.0244496	+	0.0590267i
$330$	−41.6321	−	2.35099i	−2.29177	−	0.129418i
$331$	1.75591	+	8.82758i	0.0965138	+	0.485208i	0.998564	+	0.0535760i	$0.0170619\pi$
$331$	1.75591	+	8.82758i	0.0965138	+	0.485208i	−0.902050	+	0.431632i	$0.857938\pi$
$332$	5.71346	+	1.65332i	0.313567	+	0.0907379i
$333$	8.27524	−	11.6767i	0.453480	−	0.639878i
$334$	4.02241	−	3.69303i	0.220097	−	0.202074i
$335$	11.0083	−	11.0083i	0.601448	−	0.601448i
$336$	2.48432	−	0.525083i	0.135531	−	0.0286456i
$337$	−6.70835	−	6.70835i	−0.365427	−	0.365427i	0.500379	−	0.865806i	$-0.333194\pi$
$337$	−6.70835	−	6.70835i	−0.365427	−	0.365427i	−0.865806	+	0.500379i	$0.833194\pi$
$338$	−11.6554	−	0.497580i	−0.633972	−	0.0270648i
$339$	22.1716	+	22.7897i	1.20420	+	1.23776i
$340$	−20.7810	−	16.6125i	−1.12701	−	0.900937i
$341$	−29.8754	+	5.94259i	−1.61784	+	0.321809i
$342$	−22.5309	−	17.4577i	−1.21833	−	0.944004i
$343$	4.69497	+	1.94472i	0.253505	+	0.105005i
$344$	1.20138	+	0.403926i	0.0647742	+	0.0217782i
$345$	5.54634	+	8.55289i	0.298605	+	0.460472i
$346$	22.4743	+	16.4454i	1.20822	+	0.884109i
$347$	4.11240	−	6.15464i	0.220765	−	0.330398i	−0.704511	−	0.709693i	$-0.748833\pi$
$347$	4.11240	−	6.15464i	0.220765	−	0.330398i	0.925276	+	0.379295i	$0.123833\pi$
$348$	−4.27558	−	8.01640i	−0.229195	−	0.429724i
$349$	−27.2302	−	5.41641i	−1.45760	−	0.289934i	−0.598243	−	0.801315i	$-0.704134\pi$
$349$	−27.2302	−	5.41641i	−1.45760	−	0.289934i	−0.859354	+	0.511381i	$0.829134\pi$
$350$	5.21326	+	2.42484i	0.278660	+	0.129613i
$351$	−9.66844	+	5.89870i	−0.516063	+	0.314849i
$352$	−22.3305	+	8.80854i	−1.19022	+	0.469497i
$353$	16.2512			0.864962			0.432481	−	0.901643i	$-0.357638\pi$
$353$	16.2512			0.864962			0.432481	+	0.901643i	$0.357638\pi$
$354$	4.74948	−	18.3886i	0.252432	−	0.977341i
$355$	3.00107	−	15.0874i	0.159281	−	0.800757i
$356$	11.1491	−	21.5189i	0.590902	−	1.14050i
$357$	−1.93351	−	0.832205i	−0.102332	−	0.0440450i
$358$	−3.29343	−	2.40994i	−0.174063	−	0.127370i
$359$	12.2259	+	29.5159i	0.645258	+	1.55779i	0.819495	+	0.573086i	$0.194254\pi$
$359$	12.2259	+	29.5159i	0.645258	+	1.55779i	−0.174237	+	0.984704i	$0.555746\pi$
$360$	−30.8900	+	14.3002i	−1.62805	+	0.753688i
$361$	10.0011	−	24.1448i	0.526374	−	1.27078i
$362$	−0.320520	−	0.527049i	−0.0168461	−	0.0277011i
$363$	11.2763	−	4.49021i	0.591851	−	0.235675i
$364$	1.58786	−	0.177011i	0.0832263	−	0.00927790i
$365$	−31.4183	+	20.9931i	−1.64451	+	1.09883i
$366$	28.1130	−	3.95999i	1.46949	−	0.206992i
$367$	16.2016	−	16.2016i	0.845719	−	0.845719i	−0.143877	−	0.989596i	$-0.545957\pi$
$367$	16.2016	−	16.2016i	0.845719	−	0.845719i	0.989596	+	0.143877i	$0.0459568\pi$
$368$	4.96152	+	3.13389i	0.258637	+	0.163365i
$369$	15.4047	+	6.88283i	0.801936	+	0.358306i
$370$	19.9364	−	18.3039i	1.03644	−	0.951574i
$371$	1.61651	−	1.08012i	0.0839252	−	0.0560770i
$372$	−19.2358	+	15.7574i	−0.997329	+	0.816984i
$373$	−4.50225	+	0.895553i	−0.233118	+	0.0463700i	−0.310267	−	0.950650i	$-0.600418\pi$
$373$	−4.50225	+	0.895553i	−0.233118	+	0.0463700i	0.0771490	+	0.997020i	$0.475418\pi$
$374$	19.3345	+	4.71128i	0.999762	+	0.243614i
$375$	−41.4044	−	8.82916i	−2.13812	−	0.455936i
$376$	−2.33979	−	8.63183i	−0.120665	−	0.445153i
$377$	−2.18764	−	5.28143i	−0.112669	−	0.272008i
$378$	−2.05730	+	1.73811i	−0.105816	+	0.0893986i
$379$	−15.3580	+	22.9849i	−0.788888	+	1.18065i	0.191095	+	0.981572i	$0.438796\pi$
$379$	−15.3580	+	22.9849i	−0.788888	+	1.18065i	−0.979983	+	0.199082i	$0.936204\pi$
$380$	−34.7270	−	41.2237i	−1.78146	−	2.11473i
$381$	0.343517	−	24.9894i	0.0175989	−	1.28025i
$382$	−4.09400	−	11.2144i	−0.209467	−	0.573777i
$383$	1.94291			0.0992783			0.0496391	−	0.998767i	$-0.484193\pi$
$383$	1.94291			0.0992783			0.0496391	+	0.998767i	$0.484193\pi$
$384$	−12.7003	+	14.9232i	−0.648110	+	0.761547i
$385$	−6.23909			−0.317973
$386$	6.91899	+	18.9526i	0.352167	+	0.964664i
$387$	−1.32523	+	0.225928i	−0.0673654	+	0.0114846i
$388$	−12.9956	−	15.4268i	−0.659750	−	0.783175i
$389$	−12.6774	+	18.9731i	−0.642771	+	0.961974i	0.356843	+	0.934165i	$0.383853\pi$
$389$	−12.6774	+	18.9731i	−0.642771	+	0.961974i	−0.999613	+	0.0278098i	$0.991147\pi$
$390$	−20.2183	+	7.06764i	−1.02379	+	0.357884i
$391$	−1.86172	−	4.49459i	−0.0941511	−	0.227301i
$392$	−18.7427	+	5.08049i	−0.946649	+	0.256603i
$393$	5.50494	−	25.8155i	0.277688	−	1.30222i
$394$	−12.0218	−	2.92939i	−0.605651	−	0.147580i
$395$	13.9291	−	2.77066i	0.700847	−	0.139407i
$396$	16.4389	−	19.4431i	0.826087	−	0.977051i
$397$	−23.7866	+	15.8937i	−1.19382	+	0.797682i	−0.983669	−	0.179988i	$-0.942394\pi$
$397$	−23.7866	+	15.8937i	−1.19382	+	0.797682i	−0.210147	+	0.977670i	$0.567394\pi$
$398$	−19.1006	+	17.5366i	−0.957428	+	0.879028i
$399$	−3.51308	−	2.41787i	−0.175874	−	0.121045i
$400$	−43.2824	+	9.77149i	−2.16412	+	0.488575i
$401$	−22.2618	+	22.2618i	−1.11170	+	1.11170i	−0.118783	+	0.992920i	$0.537899\pi$
$401$	−22.2618	+	22.2618i	−1.11170	+	1.11170i	−0.992920	+	0.118783i	$0.962101\pi$
$402$	1.32591	+	9.41298i	0.0661303	+	0.469477i
$403$	−13.0090	+	8.69237i	−0.648027	+	0.432998i
$404$	−0.0546401	+	0.00609117i	−0.00271845	+	0.000303047i
$405$	21.6779	−	28.8720i	1.07719	−	1.43466i
$406$	−0.706337	−	1.16147i	−0.0350549	−	0.0576428i
$407$	−7.74705	+	18.7030i	−0.384007	+	0.927074i
$408$	15.7362	−	4.03418i	0.779057	−	0.199721i
$409$	0.669404	+	1.61609i	0.0330999	+	0.0799103i	0.939565	−	0.342370i	$-0.111230\pi$
$409$	0.669404	+	1.61609i	0.0330999	+	0.0799103i	−0.906465	+	0.422281i	$0.861230\pi$
$410$	25.7496	+	18.8421i	1.27168	+	0.930544i
$411$	0.0254880	−	0.0592178i	0.00125723	−	0.00292100i
$412$	−1.11382	+	2.14978i	−0.0548738	+	0.105912i
$413$	0.554381	−	2.78706i	0.0272793	−	0.137142i
$414$	−6.20905	−	0.436320i	−0.305158	−	0.0214440i
$415$	−11.9302			−0.585631
$416$	−8.86533	+	8.56934i	−0.434658	+	0.420146i
$417$	1.20625	+	6.53222i	0.0590701	+	0.319884i
$418$	36.5566	+	17.0036i	1.78804	+	0.831672i
$419$	−18.8136	−	3.74226i	−0.919106	−	0.182821i	−0.287203	−	0.957870i	$-0.592726\pi$
$419$	−18.8136	−	3.74226i	−0.919106	−	0.182821i	−0.631902	+	0.775048i	$0.717726\pi$
$420$	−4.49390	+	2.39684i	−0.219280	+	0.116954i
$421$	9.60096	−	14.3688i	0.467922	−	0.700295i	−0.520187	−	0.854053i	$-0.674138\pi$
$421$	9.60096	−	14.3688i	0.467922	−	0.700295i	0.988109	+	0.153758i	$0.0491376\pi$
$422$	−3.05789	−	2.23758i	−0.148856	−	0.108924i
$423$	6.52058	+	6.88933i	0.317042	+	0.334971i
$424$	−4.78152	+	14.2215i	−0.232211	+	0.690657i
$425$	33.9842	+	14.0767i	1.64847	+	0.682820i
$426$	6.25675	+	7.00568i	0.303140	+	0.339426i
$427$	4.16629	−	0.828726i	0.201621	−	0.0401049i
$428$	−14.4774	−	11.5733i	−0.699793	−	0.559419i
$429$	11.4828	−	11.1714i	0.554394	−	0.539359i
$430$	−2.53997	−	0.108434i	−0.122488	−	0.00522913i
$431$	−18.2671	−	18.2671i	−0.879896	−	0.879896i	0.113628	−	0.993523i	$-0.463753\pi$
$431$	−18.2671	−	18.2671i	−0.879896	−	0.879896i	−0.993523	+	0.113628i	$0.963753\pi$
$432$	4.37131	−	20.3197i	0.210315	−	0.977634i
$433$	17.2171	−	17.2171i	0.827401	−	0.827401i	−0.159755	−	0.987157i	$-0.551071\pi$
$433$	17.2171	−	17.2171i	0.827401	−	0.827401i	0.987157	+	0.159755i	$0.0510706\pi$
$434$	−2.74063	+	2.51621i	−0.131554	+	0.120782i
$435$	12.7075	+	13.0618i	0.609279	+	0.626263i
$436$	−6.75738	−	1.95541i	−0.323620	−	0.0936471i
$437$	−1.92286	−	9.66686i	−0.0919828	−	0.462429i
$438$	1.30084	−	23.0358i	0.0621568	−	1.10069i
$439$	1.63353	−	3.94370i	0.0779643	−	0.188222i	−0.880092	−	0.474804i	$-0.842519\pi$
$439$	1.63353	−	3.94370i	0.0779643	−	0.188222i	0.958056	+	0.286582i	$0.0925189\pi$
$440$	38.1141	−	29.4222i	1.81702	−	1.40265i
$441$	14.9591	−	14.1585i	0.712340	−	0.674212i
$442$	10.1011	−	1.56472i	0.480459	−	0.0744260i
$443$	19.6650	+	13.1397i	0.934310	+	0.624286i	0.926747	−	0.375685i	$-0.122593\pi$
$443$	19.6650	+	13.1397i	0.934310	+	0.624286i	0.00756283	+	0.999971i	$0.497593\pi$
$444$	1.60499	+	16.4476i	0.0761693	+	0.780568i
$445$	−9.48369	+	47.6777i	−0.449570	+	2.26014i
$446$	−1.25975	−	3.45073i	−0.0596508	−	0.163397i
$447$	−9.61602	+	1.77570i	−0.454822	+	0.0839879i
$448$	−1.77136	+	2.33646i	−0.0836887	+	0.110387i
$449$		−	14.1363i		−	0.667131i	−0.942727	−	0.333565i	$-0.891748\pi$
$449$		−	14.1363i		−	0.667131i	0.942727	−	0.333565i	$-0.108252\pi$
$450$	35.5297	−	30.8641i	1.67489	−	1.45495i
$451$	−23.4076	−	4.65606i	−1.10222	−	0.219245i
$452$	−36.5806	−	3.12902i	−1.72061	−	0.147177i
$453$	−38.1736	−	16.4303i	−1.79355	−	0.771965i
$454$	−1.22201	−	7.88871i	−0.0573517	−	0.370235i
$455$	−2.96071	+	1.22637i	−0.138800	+	0.0574929i
$456$	32.8632	−	1.79641i	1.53896	−	0.0841248i
$457$	14.2104	+	5.88613i	0.664733	+	0.275342i	0.689429	−	0.724353i	$-0.257862\pi$
$457$	14.2104	+	5.88613i	0.664733	+	0.275342i	−0.0246955	+	0.999695i	$0.507862\pi$
$458$	−7.15441	−	1.74333i	−0.334304	−	0.0814606i
$459$	−12.6757	+	11.6711i	−0.591651	+	0.544763i
$460$	−11.3069	−	3.27192i	−0.527188	−	0.152554i
$461$	−12.6297	−	18.9017i	−0.588225	−	0.880341i	0.411289	−	0.911505i	$-0.365079\pi$
$461$	−12.6297	−	18.9017i	−0.588225	−	0.880341i	−0.999514	+	0.0311642i	$0.990079\pi$
$462$	2.29172	−	3.04320i	0.106621	−	0.141582i
$463$	−14.7383	−	14.7383i	−0.684947	−	0.684947i	0.276164	−	0.961111i	$-0.410937\pi$
$463$	−14.7383	−	14.7383i	−0.684947	−	0.684947i	−0.961111	+	0.276164i	$0.910937\pi$
$464$	9.79219	+	3.76438i	0.454591	+	0.174757i
$465$	28.2770	−	41.0855i	1.31131	−	1.90530i
$466$	−1.64289	+	38.4835i	−0.0761055	+	1.78271i
$467$	−13.2315	−	19.8024i	−0.612282	−	0.916344i	0.387704	−	0.921784i	$-0.373268\pi$
$467$	−13.2315	−	19.8024i	−0.612282	−	0.916344i	−0.999985	+	0.00543998i	$0.998268\pi$
$468$	3.97919	−	12.4578i	0.183938	−	0.575863i
$469$	0.277479	+	1.39498i	0.0128128	+	0.0644143i
$470$	9.32086	+	15.3268i	0.429939	+	0.706974i
$471$	−24.6710	−	5.26089i	−1.13678	−	0.242409i
$472$	9.75653	+	19.6403i	0.449081	+	0.904016i
$473$	1.75685	−	0.727711i	0.0807800	−	0.0334602i
$474$	−3.76496	+	7.81180i	−0.172930	+	0.358808i
$475$	61.9647	+	41.4035i	2.84314	+	1.89972i
$476$	2.31673	−	0.735398i	0.106187	−	0.0337069i
$477$	−2.67445	−	15.6876i	−0.122455	−	0.718286i
$478$	14.4063	−	30.9727i	0.658930	−	1.41666i
$479$			1.01380i			0.0463216i	0.999732	+	0.0231608i	$0.00737297\pi$
$479$			1.01380i			0.0463216i	−0.999732	+	0.0231608i	$0.992627\pi$
$480$	16.1499	−	35.8344i	0.737137	−	1.63561i
$481$			10.3981i			0.474114i
$482$	−23.2663	−	10.8218i	−1.05975	−	0.492921i
$483$	−0.931226	−	0.0128011i	−0.0423723	−	0.000582471i
$484$	−6.44735	+	12.4440i	−0.293061	+	0.565637i
$485$	33.6404	+	22.4778i	1.52753	+	1.02066i
$486$	6.12004	+	21.1789i	0.277610	+	0.960694i
$487$	25.3253	−	10.4901i	1.14760	−	0.475352i	0.273872	−	0.961766i	$-0.411696\pi$
$487$	25.3253	−	10.4901i	1.14760	−	0.475352i	0.873728	+	0.486415i	$0.161696\pi$
$488$	−21.5434	+	24.7100i	−0.975224	+	1.11857i
$489$	−0.764369	+	3.58451i	−0.0345660	+	0.162097i
$490$	33.2799	−	20.2388i	1.50343	−	0.914297i
$491$	2.91875	+	14.6735i	0.131721	+	0.662207i	0.989067	+	0.147466i	$0.0471119\pi$
$491$	2.91875	+	14.6735i	0.131721	+	0.662207i	−0.857346	+	0.514741i	$0.827888\pi$
$492$	−18.6487	+	5.63869i	−0.840750	+	0.254212i
$493$	−4.83175	−	7.23123i	−0.217611	−	0.325678i
$494$	20.6899	+	0.883270i	0.930883	+	0.0397402i
$495$	−20.8332	+	46.6275i	−0.936382	+	2.09575i
$496$	4.87634	−	28.2955i	0.218954	−	1.27051i
$497$	0.993769	+	0.993769i	0.0445766	+	0.0445766i
$498$	4.38217	−	5.81912i	0.196370	−	0.260761i
$499$	−19.0969	−	28.5805i	−0.854894	−	1.27944i	−0.958579	−	0.284828i	$-0.908063\pi$
$499$	−19.0969	−	28.5805i	−0.854894	−	1.27944i	0.103685	−	0.994610i	$-0.466937\pi$
$500$	42.8129	−	23.5959i	1.91465	−	1.05524i
$501$	−2.47416	−	6.21337i	−0.110537	−	0.277593i
$502$	−1.60846	+	6.60089i	−0.0717889	+	0.294612i
$503$	18.0858	+	7.49138i	0.806406	+	0.334024i	0.747519	−	0.664240i	$-0.231245\pi$
$503$	18.0858	+	7.49138i	0.806406	+	0.334024i	0.0588869	+	0.998265i	$0.481245\pi$
$504$	0.481597	−	3.07236i	0.0214520	−	0.136854i
$505$	0.101882	−	0.0422008i	0.00453368	−	0.00187791i
$506$	8.70065	−	1.34778i	0.386791	−	0.0599163i
$507$	−5.64868	+	13.1239i	−0.250867	+	0.582854i
$508$	18.5923	+	22.0706i	0.824902	+	0.979222i
$509$	−28.6563	−	5.70009i	−1.27017	−	0.252652i	−0.486417	−	0.873727i	$-0.661696\pi$
$509$	−28.6563	−	5.70009i	−1.27017	−	0.252652i	−0.783751	+	0.621075i	$0.786696\pi$
$510$	−28.0704	+	16.5466i	−1.24298	+	0.732694i
$511$		−	3.45220i		−	0.152716i
$512$	−0.197181	−	22.6266i	−0.00871427	−	0.999962i
$513$	−29.8004	+	18.1812i	−1.31572	+	0.802720i
$514$	−13.0031	+	4.74702i	−0.573544	+	0.209382i
$515$	0.947437	−	4.76309i	0.0417491	−	0.209887i
$516$	0.985865	−	1.19908i	0.0434003	−	0.0527864i
$517$	−11.1565	−	7.45453i	−0.490662	−	0.327850i
$518$	0.378513	+	2.44350i	0.0166309	+	0.107361i
$519$	28.6170	−	18.5575i	1.25615	−	0.814582i
$520$	12.3034	−	21.4538i	0.539541	−	0.940813i
$521$	−13.5271	+	32.6574i	−0.592634	+	1.43074i	0.288316	+	0.957535i	$0.406905\pi$
$521$	−13.5271	+	32.6574i	−0.592634	+	1.43074i	−0.880950	+	0.473209i	$0.843095\pi$
$522$	−11.0387	+	1.40046i	−0.483152	+	0.0612963i
$523$	1.35913	+	6.83280i	0.0594305	+	0.298778i	0.999057	−	0.0434252i	$-0.0138270\pi$
$523$	1.35913	+	6.83280i	0.0594305	+	0.298778i	−0.939626	+	0.342203i	$0.888827\pi$
$524$	14.7119	+	26.6936i	0.642694	+	1.16612i
$525$	5.04727	−	4.91039i	0.220281	−	0.214307i
$526$	−7.22952	−	7.87432i	−0.315222	−	0.343336i
$527$	−16.8311	+	16.8311i	−0.733176	+	0.733176i
$528$	0.351146	+	29.3979i	0.0152817	+	1.27938i
$529$	14.7415	+	14.7415i	0.640935	+	0.640935i
$530$	1.28360	−	30.0672i	0.0557558	−	1.30604i
$531$	−18.9778	−	13.4495i	−0.823565	−	0.583659i
$532$	4.89415	−	0.545590i	0.212188	−	0.0236543i
$533$	−12.0231	+	2.39154i	−0.520777	+	0.103589i
$534$	−19.7719	−	22.1386i	−0.855615	−	0.958032i
$535$	34.3471	+	14.2270i	1.48496	+	0.615089i
$536$	−8.27354	−	7.21329i	−0.357362	−	0.311567i
$537$	−4.19361	+	2.71945i	−0.180968	+	0.117353i
$538$	−19.8229	+	27.0900i	−0.854626	+	1.16793i
$539$	−16.1864	+	24.2246i	−0.697196	+	1.04343i
$540$	2.90686	+	41.5883i	0.125091	+	1.78967i
$541$	27.1068	+	5.39188i	1.16541	+	0.231815i	0.739632	−	0.673011i	$-0.234999\pi$
$541$	27.1068	+	5.39188i	1.16541	+	0.231815i	0.425781	+	0.904826i	$0.359999\pi$
$542$	−14.5298	+	31.2381i	−0.624107	+	1.34179i
$543$	−0.742932	+	0.137191i	−0.0318823	+	0.00588741i
$544$	−10.6847	+	15.4177i	−0.458104	+	0.661028i
$545$	14.1100			0.604407
$546$	0.489343	−	1.89459i	0.0209419	−	0.0810810i
$547$	3.30956	−	16.6383i	0.141507	−	0.711402i	−0.843258	−	0.537509i	$-0.819365\pi$
$547$	3.30956	−	16.6383i	0.141507	−	0.711402i	0.984765	−	0.173893i	$-0.0556346\pi$
$548$	0.0225231	+	0.0709547i	0.000962138	+	0.00303103i
$549$	7.71838	−	33.9037i	0.329413	−	1.44698i
$550$	−39.3123	+	53.7242i	−1.67628	+	2.29081i
$551$	−6.74283	−	16.2786i	−0.287254	−	0.693493i
$552$	5.74915	−	4.31327i	0.244700	−	0.183585i
$553$	−0.496532	+	1.19873i	−0.0211147	+	0.0509754i
$554$	15.4097	−	9.37128i	0.654696	−	0.398147i
$555$	−12.2628	−	30.7955i	−0.520526	−	1.30720i
$556$	−5.99122	−	4.78942i	−0.254084	−	0.203117i
$557$	20.6452	−	13.7947i	0.874765	−	0.584499i	−0.0351095	−	0.999383i	$-0.511178\pi$
$557$	20.6452	−	13.7947i	0.874765	−	0.584499i	0.909874	+	0.414884i	$0.136178\pi$
$558$	9.65339	+	28.8839i	0.408661	+	1.22275i
$559$	0.690658	−	0.690658i	0.0292117	−	0.0292117i
$560$	2.11027	−	5.48939i	0.0891751	−	0.231969i
$561$	13.8180	−	20.0771i	0.583396	−	0.847656i
$562$	10.8319	+	11.7980i	0.456917	+	0.497669i
$563$	9.92024	−	6.62849i	0.418088	−	0.279358i	−0.328681	−	0.944441i	$-0.606604\pi$
$563$	9.92024	−	6.62849i	0.418088	−	0.279358i	0.746769	+	0.665083i	$0.231604\pi$
$564$	−10.8996	−	1.08343i	−0.458955	−	0.0456206i
$565$	72.2262	−	14.3667i	3.03858	−	0.604411i
$566$	7.80961	−	32.0496i	0.328262	−	1.34715i
$567$	1.09291	+	3.11220i	0.0458979	+	0.130700i
$568$	−10.7573	−	1.38444i	−0.451364	−	0.0580899i
$569$	−4.82694	−	11.6533i	−0.202356	−	0.488530i	0.789826	−	0.613331i	$-0.210171\pi$
$569$	−4.82694	−	11.6533i	−0.202356	−	0.488530i	−0.992182	+	0.124801i	$0.960171\pi$
$570$	−62.3177	+	21.7842i	−2.61020	+	0.912438i
$571$	8.09501	−	12.1150i	0.338765	−	0.506998i	−0.622501	−	0.782619i	$-0.713883\pi$
$571$	8.09501	−	12.1150i	0.338765	−	0.506998i	0.961266	+	0.275621i	$0.0888833\pi$
$572$	−1.57659	+	18.4315i	−0.0659203	+	0.770659i
$573$	−14.6200	−	0.200974i	−0.610759	−	0.00839581i
$574$	−2.73829	+	0.999660i	−0.114294	+	0.0417250i
$575$	16.2744			0.678689
$576$	11.5466	+	21.0399i	0.481107	+	0.876662i
$577$	−20.9086			−0.870436			−0.435218	−	0.900325i	$-0.643329\pi$
$577$	−20.9086			−0.870436			−0.435218	+	0.900325i	$0.643329\pi$
$578$	−7.97619	+	2.91184i	−0.331766	+	0.121117i
$579$	24.7082	+	0.339652i	1.02684	+	0.0141155i
$580$	−20.9659	−	1.79338i	−0.870563	−	0.0744659i
$581$	0.605545	−	0.906263i	0.0251223	−	0.0375981i
$582$	−23.3206	+	8.15208i	−0.966668	+	0.337915i
$583$	8.61436	+	20.7969i	0.356770	+	0.861320i
$584$	16.2799	+	21.0892i	0.673665	+	0.872677i
$585$	−0.721050	+	26.2217i	−0.0298117	+	1.08413i
$586$	−5.69657	+	23.3780i	−0.235323	+	0.965735i
$587$	23.8495	−	4.74395i	0.984372	−	0.195804i	0.323439	−	0.946249i	$-0.395161\pi$
$587$	23.8495	−	4.74395i	0.984372	−	0.195804i	0.660933	+	0.750445i	$0.270161\pi$
$588$	−2.35250	+	23.6668i	−0.0970155	+	0.976001i
$589$	−40.0970	+	26.7920i	−1.65217	+	1.10394i
$590$	−29.7488	−	32.4021i	−1.22474	−	1.33397i
$591$	−8.59178	+	12.4836i	−0.353419	+	0.513506i
$592$	−13.8353	−	13.1421i	−0.568628	−	0.540138i
$593$	11.8849	−	11.8849i	0.488055	−	0.488055i	−0.419637	−	0.907692i	$-0.637843\pi$
$593$	11.8849	−	11.8849i	0.488055	−	0.488055i	0.907692	+	0.419637i	$0.137843\pi$
$594$	−15.0908	−	27.2887i	−0.619182	−	1.11967i
$595$	−4.05374	+	2.70862i	−0.166187	+	0.111043i
$596$	7.05046	−	8.81962i	0.288798	−	0.361266i
$597$	11.7487	+	29.5045i	0.480842	+	1.20754i
$598$	3.86390	−	2.34979i	0.158007	−	0.0960902i
$599$	15.2586	−	36.8376i	0.623451	−	1.50514i	−0.224174	−	0.974549i	$-0.571969\pi$
$599$	15.2586	−	36.8376i	0.623451	−	1.50514i	0.847626	−	0.530595i	$-0.178031\pi$
$600$	−7.67698	+	53.7990i	−0.313411	+	2.19633i
$601$	−12.5646	−	30.3336i	−0.512520	−	1.23733i	−0.942413	−	0.334452i	$-0.891449\pi$
$601$	−12.5646	−	30.3336i	−0.512520	−	1.23733i	0.429893	−	0.902880i	$-0.358551\pi$
$602$	0.137159	−	0.187442i	0.00559019	−	0.00763956i
$603$	11.3519	+	2.58432i	0.462283	+	0.105241i
$604$	45.7396	−	14.5191i	1.86112	−	0.590772i
$605$	5.48426	−	27.5712i	0.222967	−	1.12093i
$606$	−0.0168389	+	0.0651952i	−0.000684033	+	0.00264838i
$607$	31.1174			1.26302			0.631509	−	0.775369i	$-0.282436\pi$
$607$	31.1174			1.26302			0.631509	+	0.775369i	$0.282436\pi$
$608$	−27.3251	+	26.4128i	−1.10818	+	1.07118i
$609$	−1.63722	+	0.302330i	−0.0663434	+	0.0122510i
$610$	27.7317	−	59.6214i	1.12282	−	2.41400i
$611$	−6.75949	−	1.34455i	−0.273460	−	0.0543945i
$612$	2.23994	−	19.7696i	0.0905441	−	0.799137i
$613$	0.293500	−	0.439254i	0.0118544	−	0.0177413i	−0.825495	−	0.564409i	$-0.809104\pi$
$613$	0.293500	−	0.439254i	0.0118544	−	0.0177413i	0.837349	+	0.546668i	$0.184104\pi$
$614$	1.25145	−	1.71023i	0.0505044	−	0.0690194i
$615$	32.7876	−	21.2620i	1.32212	−	0.857365i
$616$	0.300454	+	4.38868i	0.0121057	+	0.176825i
$617$	−31.0290	−	12.8526i	−1.24918	−	0.517427i	−0.342608	−	0.939478i	$-0.611310\pi$
$617$	−31.0290	−	12.8526i	−1.24918	−	0.517427i	−0.906572	+	0.422051i	$0.861310\pi$
$618$	1.97525	+	2.21169i	0.0794562	+	0.0889672i
$619$	−5.40007	+	1.07414i	−0.217047	+	0.0431734i	−0.302416	−	0.953176i	$-0.597793\pi$
$619$	−5.40007	+	1.07414i	−0.217047	+	0.0431734i	0.0853687	+	0.996349i	$0.472793\pi$
$620$	6.38069	+	57.2372i	0.256255	+	2.29870i
$621$	−3.20516	+	6.91672i	−0.128619	+	0.277558i
$622$	1.47018	−	34.4377i	0.0589487	−	1.38083i
$623$	−3.14041	−	3.14041i	−0.125818	−	0.125818i
$624$	5.94514	+	13.8815i	0.237996	+	0.555706i
$625$	−30.1144	+	30.1144i	−1.20458	+	1.20458i
$626$	5.38025	+	5.86011i	0.215038	+	0.234217i
$627$	35.3927	−	34.4328i	1.41345	−	1.37512i
$628$	25.5102	−	14.0597i	1.01797	−	0.561044i
$629$	3.08618	+	15.5153i	0.123054	+	0.618634i
$630$	0.785079	+	6.18818i	0.0312783	+	0.246543i
$631$	−10.9902	+	26.5328i	−0.437514	+	1.05625i	0.539290	+	0.842120i	$0.318693\pi$
$631$	−10.9902	+	26.5328i	−0.437514	+	1.05625i	−0.976805	+	0.214133i	$0.931307\pi$
$632$	−2.61971	−	9.66450i	−0.104206	−	0.384433i
$633$	−3.89368	+	2.52496i	−0.154760	+	0.100358i
$634$	4.02527	+	25.9853i	0.159864	+	1.03201i
$635$	−48.1283	−	32.1583i	−1.90991	−	1.27616i
$636$	14.1942	+	11.6703i	0.562837	+	0.462757i
$637$	−2.91948	+	14.6772i	−0.115674	+	0.581532i
$638$	14.7851	−	5.39756i	0.585348	−	0.213691i
$639$	10.7452	−	4.10854i	0.425074	−	0.162531i
$640$	12.9954	+	43.4858i	0.513687	+	1.71893i
$641$		−	8.16041i		−	0.322317i	−0.986929	−	0.161158i	$-0.948477\pi$
$641$		−	8.16041i		−	0.322317i	0.986929	−	0.161158i	$-0.0515230\pi$
$642$	−19.5557	+	11.5274i	−0.771802	+	0.454951i
$643$	−7.56760	−	1.50529i	−0.298437	−	0.0593628i	0.0436007	−	0.999049i	$-0.486117\pi$
$643$	−7.56760	−	1.50529i	−0.298437	−	0.0593628i	−0.342038	+	0.939686i	$0.611117\pi$
$644$	0.822456	−	0.692841i	0.0324093	−	0.0273018i
$645$	−1.23097	+	2.85999i	−0.0484694	+	0.112612i
$646$	31.1339	−	4.82283i	1.22495	−	0.189752i
$647$	−9.49957	+	3.93485i	−0.373466	+	0.154695i	−0.561518	−	0.827464i	$-0.689783\pi$
$647$	−9.49957	+	3.93485i	−0.373466	+	0.154695i	0.188052	+	0.982159i	$0.439783\pi$
$648$	−21.3530	−	13.8582i	−0.838824	−	0.544402i
$649$	30.3975	+	12.5911i	1.19321	+	0.494242i
$650$	−8.09521	+	33.2217i	−0.317520	+	1.30306i
$651$	1.68574	+	4.23341i	0.0660695	+	0.165920i
$652$	−2.04277	−	3.70645i	−0.0800012	−	0.145156i
$653$	3.56357	+	5.33326i	0.139453	+	0.208707i	0.894622	−	0.446824i	$-0.147445\pi$
$653$	3.56357	+	5.33326i	0.139453	+	0.208707i	−0.755169	+	0.655531i	$0.772445\pi$
$654$	−5.18285	+	6.88235i	−0.202666	+	0.269121i
$655$	−43.2293	−	43.2293i	−1.68911	−	1.68911i
$656$	12.0138	−	19.0200i	0.469060	−	0.742608i
$657$	−25.7998	−	11.5274i	−1.00655	−	0.449726i
$658$	−1.63738	−	0.0699013i	−0.0638318	−	0.00272504i
$659$	3.09503	+	4.63204i	0.120565	+	0.180439i	0.886843	−	0.462071i	$-0.152893\pi$
$659$	3.09503	+	4.63204i	0.120565	+	0.180439i	−0.766278	+	0.642509i	$0.777893\pi$
$660$	−17.0674	−	56.4467i	−0.664348	−	2.19718i
$661$	0.0949033	+	0.477111i	0.00369131	+	0.0185575i	0.982587	−	0.185803i	$-0.0594886\pi$
$661$	0.0949033	+	0.477111i	0.00369131	+	0.0185575i	−0.978896	+	0.204360i	$0.934489\pi$
$662$	−10.8755	+	6.61382i	−0.422688	+	0.257053i
$663$	2.61083	−	12.2435i	0.101396	−	0.475499i
$664$	0.574521	+	8.39191i	0.0222957	+	0.325669i
$665$	−9.12561	+	3.77995i	−0.353876	+	0.146580i
$666$	19.5253	+	5.33039i	0.756588	+	0.206548i
$667$	−3.19930	−	2.13771i	−0.123877	−	0.0827723i
$668$	6.85681	+	3.55257i	0.265298	+	0.137453i
$669$	−4.49866	−	0.0618409i	−0.173928	−	0.00239091i
$670$	19.9628	+	9.28529i	0.771231	+	0.358722i
$671$			49.1842i			1.89874i
$672$	1.90239	+	3.04566i	0.0733861	+	0.117489i
$673$			29.3484i			1.13130i	0.824646	+	0.565649i	$0.191374\pi$
$673$			29.3484i			1.13130i	−0.824646	+	0.565649i	$0.808626\pi$
$674$	5.65837	−	12.1651i	0.217952	−	0.468584i
$675$	−19.8439	−	54.1169i	−0.763794	−	2.08296i
$676$	−4.99159	−	15.7250i	−0.191984	−	0.604810i
$677$	2.15349	+	1.43892i	0.0827654	+	0.0553021i	0.596264	−	0.802788i	$-0.296651\pi$
$677$	2.15349	+	1.43892i	0.0827654	+	0.0553021i	−0.513499	+	0.858090i	$0.671651\pi$
$678$	−19.5224	+	40.5064i	−0.749753	+	1.55564i
$679$	−3.41499	+	1.41454i	−0.131055	+	0.0542849i
$680$	11.9907	−	35.6633i	0.459820	−	1.36763i
$681$	−9.56190	−	2.03900i	−0.366413	−	0.0781346i
$682$	−22.3833	−	36.8062i	−0.857102	−	1.40938i
$683$	6.25649	+	31.4535i	0.239398	+	1.20353i	0.894177	+	0.447714i	$0.147762\pi$
$683$	6.25649	+	31.4535i	0.239398	+	1.20353i	−0.654779	+	0.755821i	$0.727238\pi$
$684$	12.2648	−	38.3980i	0.468957	−	1.46818i
$685$	−0.0829571	−	0.124154i	−0.00316963	−	0.00474369i
$686$	−0.306530	+	7.18021i	−0.0117034	+	0.274142i
$687$	−5.11313	+	7.42921i	−0.195078	+	0.283442i
$688$	0.0460429	+	1.79188i	0.00175537	+	0.0683148i
$689$	8.17575	+	8.17575i	0.311471	+	0.311471i
$690$	−8.67231	+	11.5160i	−0.330149	+	0.438408i
$691$	−24.0652	−	36.0161i	−0.915482	−	1.37012i	−0.928949	−	0.370207i	$-0.879287\pi$
$691$	−24.0652	−	36.0161i	−0.915482	−	1.37012i	0.0134670	−	0.999909i	$-0.495713\pi$
$692$	−10.9475	+	37.8317i	−0.416161	+	1.43815i
$693$	−2.48456	−	3.94925i	−0.0943805	−	0.150020i
$694$	10.1706	+	2.47829i	0.386070	+	0.0940747i
$695$	14.2139	+	5.88760i	0.539165	+	0.223330i
$696$	8.57589	−	9.56768i	0.325068	−	0.362662i
$697$	−17.2300	+	7.13691i	−0.652634	+	0.270330i
$698$	−6.01050	−	38.8009i	−0.227501	−	1.46864i
$699$	43.3321	+	18.6506i	1.63897	+	0.705430i
$700$	−0.692990	+	8.10157i	−0.0261925	+	0.306211i
$701$	44.5050	+	8.85259i	1.68093	+	0.334358i	0.941021	−	0.338349i	$-0.109868\pi$
$701$	44.5050	+	8.85259i	1.68093	+	0.334358i	0.739909	+	0.672707i	$0.234868\pi$
$702$	−12.5251	−	9.98338i	−0.472730	−	0.376798i
$703$			32.0496i			1.20877i
$704$	−22.5315	−	25.3932i	−0.849189	−	0.957041i
$705$	21.6048	−	3.98957i	0.813685	−	0.150256i
$706$	7.88142	+	21.5890i	0.296621	+	0.812512i
$707$	−0.00196551	+	0.00988131i	−7.39208e−5	+	0.000371625i
$708$	26.7318	−	2.60854i	1.00464	−	0.0980350i
$709$	−3.89531	−	2.60276i	−0.146291	−	0.0977487i	0.480271	−	0.877120i	$-0.340538\pi$
$709$	−3.89531	−	2.60276i	−0.146291	−	0.0977487i	−0.626562	+	0.779372i	$0.715538\pi$
$710$	21.4984	−	3.33024i	0.806822	−	0.124982i
$711$	7.30068	+	7.71354i	0.273797	+	0.289280i
$712$	33.9940	+	4.37497i	1.27398	+	0.163959i
$713$	−4.03006	+	9.72942i	−0.150927	+	0.364370i
$714$	0.167841	−	2.97219i	0.00628130	−	0.111231i
$715$	−7.23880	−	36.3919i	−0.270716	−	1.36098i
$716$	1.60427	−	5.54395i	0.0599545	−	0.207187i
$717$	−29.1733	−	29.9866i	−1.08950	−	1.11987i
$718$	−33.2813	+	30.5561i	−1.24205	+	1.14034i
$719$	25.9326	−	25.9326i	0.967123	−	0.967123i	−0.0323536	−	0.999476i	$-0.510300\pi$
$719$	25.9326	−	25.9326i	0.967123	−	0.967123i	0.999476	+	0.0323536i	$0.0103003\pi$
$720$	−33.9782	−	34.1008i	−1.26629	−	1.27086i
$721$	0.313732	+	0.313732i	0.0116840	+	0.0116840i
$722$	36.9256	+	1.57639i	1.37423	+	0.0586671i
$723$	−22.5255	+	21.9146i	−0.837732	+	0.815012i
$724$	0.544717	−	0.681403i	0.0202443	−	0.0253241i
$725$	28.5345	−	5.67586i	1.05974	−	0.210796i
$726$	11.4338	+	12.8024i	0.424347	+	0.475142i
$727$	−0.0273404	−	0.0113248i	−0.00101400	−	0.000420013i	0.382176	−	0.924089i	$-0.375175\pi$
$727$	−0.0273404	−	0.0113248i	−0.00101400	−	0.000420013i	−0.383190	+	0.923669i	$0.625175\pi$
$728$	1.00522	+	2.02355i	0.0372561	+	0.0749978i
$729$	26.9082	+	2.22427i	0.996601	+	0.0823804i
$730$	−43.1255	−	31.5568i	−1.59615	−	1.16797i
$731$	0.825556	−	1.23553i	0.0305343	−	0.0456978i
$732$	18.8948	+	35.4265i	0.698373	+	1.30940i
$733$	43.1730	+	8.58763i	1.59463	+	0.317192i	0.910926	−	0.412569i	$-0.135368\pi$
$733$	43.1730	+	8.58763i	1.59463	+	0.317192i	0.683703	+	0.729760i	$0.260368\pi$
$734$	29.3806	+	13.6658i	1.08446	+	0.504413i
$735$	−8.66274	−	46.9116i	−0.319530	−	1.73036i
$736$	−1.75702	+	8.11103i	−0.0647646	+	0.298977i
$737$	−16.4682			−0.606612
$738$	−1.67264	+	23.8025i	−0.0615706	+	0.876181i
$739$	4.79179	−	24.0900i	0.176269	−	0.886164i	−0.786862	−	0.617129i	$-0.788295\pi$
$739$	4.79179	−	24.0900i	0.176269	−	0.886164i	0.963131	−	0.269034i	$-0.0867045\pi$
$740$	33.9846	+	17.6077i	1.24930	+	0.647272i
$741$	10.0271	−	23.2967i	0.368356	−	0.855825i
$742$	2.21886	+	1.62364i	0.0814570	+	0.0596056i
$743$	4.64304	+	11.2093i	0.170336	+	0.411229i	0.985877	−	0.167471i	$-0.0535602\pi$
$743$	4.64304	+	11.2093i	0.170336	+	0.411229i	−0.815540	+	0.578700i	$0.803560\pi$
$744$	−30.2619	−	17.9119i	−1.10946	−	0.656683i
$745$	−8.66709	+	20.9242i	−0.317537	+	0.766603i
$746$	−3.37319	−	5.54672i	−0.123501	−	0.203080i
$747$	−4.75090	−	7.55165i	−0.173826	−	0.276300i
$748$	3.11803	+	27.9699i	0.114006	+	1.02268i
$749$	−2.82410	+	1.88701i	−0.103191	+	0.0689497i
$750$	−8.35099	−	59.2859i	−0.304935	−	2.16482i
$751$	−5.26705	+	5.26705i	−0.192197	+	0.192197i	−0.796645	−	0.604448i	$-0.793394\pi$
$751$	−5.26705	+	5.26705i	−0.192197	+	0.192197i	0.604448	+	0.796645i	$0.293394\pi$
$752$	10.3323	−	7.29454i	0.376779	−	0.266004i
$753$	6.85443	+	4.71754i	0.249789	+	0.171917i
$754$	5.95520	−	5.46755i	0.216876	−	0.199117i
$755$	−80.0336	+	53.4767i	−2.91272	+	1.94622i
$756$	−3.30674	−	1.89009i	−0.120265	−	0.0687420i
$757$	−38.9154	+	7.74076i	−1.41441	+	0.281343i	−0.842376	−	0.538890i	$-0.818844\pi$
$757$	−38.9154	+	7.74076i	−1.41441	+	0.281343i	−0.572030	+	0.820233i	$0.693844\pi$
$758$	−37.9827	−	9.25533i	−1.37959	−	0.336169i
$759$	2.24886	−	10.5461i	0.0816286	−	0.382798i
$760$	37.9221	−	66.1259i	1.37558	−	2.39864i
$761$	−5.85971	−	14.1466i	−0.212414	−	0.512813i	0.781379	−	0.624057i	$-0.214517\pi$
$761$	−5.85971	−	14.1466i	−0.212414	−	0.512813i	−0.993793	+	0.111244i	$0.964517\pi$
$762$	33.3640	−	11.6629i	1.20865	−	0.422503i
$763$	−0.716187	+	1.07185i	−0.0259277	+	0.0388035i
$764$	12.9123	−	10.8774i	0.467152	−	0.393531i
$765$	6.70672	+	39.3399i	0.242482	+	1.42234i
$766$	0.942267	+	2.58108i	0.0340455	+	0.0932582i
$767$	16.8998			0.610217
$768$	−25.9842	−	9.63441i	−0.937624	−	0.347652i
$769$	−31.9264			−1.15129			−0.575647	−	0.817698i	$-0.695250\pi$
$769$	−31.9264			−1.15129			−0.575647	+	0.817698i	$0.695250\pi$
$770$	−3.02581	−	8.28836i	−0.109043	−	0.298692i
$771$	−0.233031	+	16.9520i	−0.00839239	+	0.610511i
$772$	−21.8222	+	18.3832i	−0.785399	+	0.661624i
$773$	16.1121	−	24.1135i	0.579512	−	0.867301i	−0.419673	−	0.907675i	$-0.637855\pi$
$773$	16.1121	−	24.1135i	0.579512	−	0.867301i	0.999185	+	0.0403748i	$0.0128552\pi$
$774$	−0.942842	−	1.65095i	−0.0338897	−	0.0593420i
$775$	−30.4718	−	73.5655i	−1.09458	−	2.64255i
$776$	14.1912	−	24.7457i	0.509436	−	0.888318i
$777$	2.96177	+	0.631573i	0.106253	+	0.0226575i
$778$	−31.3532	−	7.63991i	−1.12407	−	0.273904i
$779$	−37.0580	+	7.37130i	−1.32774	+	0.264104i
$780$	−19.1944	−	23.4315i	−0.687271	−	0.838983i
$781$	−13.5300	+	9.04044i	−0.484141	+	0.323493i
$782$	5.06798	−	4.65298i	0.181230	−	0.166390i
$783$	−3.20745	+	13.2452i	−0.114625	+	0.473344i
$784$	−15.8390	−	22.4350i	−0.565678	−	0.801248i
$785$	−41.3128	+	41.3128i	−1.47452	+	1.47452i
$786$	36.9645	−	5.20681i	1.31848	−	0.185721i
$787$	31.4237	−	20.9967i	1.12013	−	0.748450i	0.149441	−	0.988771i	$-0.452253\pi$
$787$	31.4237	−	20.9967i	1.12013	−	0.748450i	0.970694	+	0.240321i	$0.0772526\pi$
$788$	−1.93873	−	17.3912i	−0.0690645	−	0.619535i
$789$	−12.1634	+	4.84345i	−0.433027	+	0.172431i
$790$	10.4360	+	17.1605i	0.371295	+	0.610542i
$791$	−2.57466	+	6.21578i	−0.0915444	+	0.221008i
$792$	33.8018	+	12.4090i	1.20109	+	0.440934i
$793$	9.66773	+	23.3400i	0.343311	+	0.828826i
$794$	−32.6500	−	23.8914i	−1.15871	−	0.847875i
$795$	−33.8555	−	14.5718i	−1.20073	−	0.516807i
$796$	−32.5599	−	16.8696i	−1.15406	−	0.597926i
$797$	−1.15789	+	5.82109i	−0.0410144	+	0.206194i	−0.995859	−	0.0909127i	$-0.971022\pi$
$797$	−1.15789	+	5.82109i	−0.0410144	+	0.206194i	0.954844	+	0.297106i	$0.0960216\pi$
$798$	1.50827	−	5.83958i	0.0533922	−	0.206719i
$799$	−10.4850			−0.370933
$800$	−33.9719	−	52.7598i	−1.20109	−	1.86534i
$801$	−33.9559	+	12.9834i	−1.19977	+	0.458745i
$802$	−40.3704	−	18.7774i	−1.42553	−	0.663054i
$803$	39.2031	+	7.79798i	1.38345	+	0.275185i
$804$	−11.8617	+	6.32648i	−0.418330	+	0.223118i
$805$	−1.19837	+	1.79349i	−0.0422371	+	0.0632123i
$806$	−17.8565	−	13.0664i	−0.628969	−	0.460243i
$807$	22.3688	+	34.4944i	0.787418	+	1.21426i
$808$	−0.0345910	−	0.0696330i	−0.00121691	−	0.00244968i
$809$	−5.17491	−	2.14352i	−0.181940	−	0.0753621i	0.289854	−	0.957071i	$-0.406393\pi$
$809$	−5.17491	−	2.14352i	−0.181940	−	0.0753621i	−0.471794	+	0.881709i	$0.656393\pi$
$810$	48.8685	+	14.7960i	1.71706	+	0.519877i
$811$	1.22166	−	0.243003i	0.0428983	−	0.00853300i	−0.173595	−	0.984817i	$-0.555538\pi$
$811$	1.22166	−	0.243003i	0.0428983	−	0.00853300i	0.216493	+	0.976284i	$0.430538\pi$
$812$	1.20041	−	1.50162i	0.0421260	−	0.0526966i
$813$	29.4233	+	30.2435i	1.03192	+	1.06069i
$814$	−28.6033	−	1.22110i	−1.00254	−	0.0427995i
$815$	6.00245	+	6.00245i	0.210257	+	0.210257i
$816$	12.9909	+	18.9483i	0.454772	+	0.663325i
$817$	2.12877	−	2.12877i	0.0744764	−	0.0744764i
$818$	−1.82225	+	1.67304i	−0.0637137	+	0.0584964i
$819$	−1.95530	−	1.38572i	−0.0683236	−	0.0484208i
$820$	−12.5429	+	43.3452i	−0.438019	+	1.51368i
$821$	−0.494489	−	2.48597i	−0.0172578	−	0.0867608i	0.971197	−	0.238280i	$-0.0765835\pi$
$821$	−0.494489	−	2.48597i	−0.0172578	−	0.0867608i	−0.988454	+	0.151519i	$0.951584\pi$
$822$	0.0910294	+	0.00514048i	0.00317502	+	0.000179295i
$823$	10.4360	−	25.1947i	0.363776	−	0.878233i	−0.630965	−	0.775811i	$-0.717341\pi$
$823$	10.4360	−	25.1947i	0.363776	−	0.878233i	0.994741	−	0.102422i	$-0.0326592\pi$
$824$	−3.39606	−	0.437068i	−0.118307	−	0.0152260i
$825$	44.3612	+	68.4084i	1.54446	+	2.38168i
$826$	3.97135	−	0.615186i	0.138181	−	0.0214051i
$827$	−29.4603	−	19.6847i	−1.02444	−	0.684506i	−0.0745862	−	0.997215i	$-0.523764\pi$
$827$	−29.4603	−	19.6847i	−1.02444	−	0.684506i	−0.949849	+	0.312709i	$0.898764\pi$
$828$	−2.43161	−	8.46007i	−0.0845043	−	0.294008i
$829$	8.97071	−	45.0988i	0.311566	−	1.56635i	−0.434623	−	0.900613i	$-0.643118\pi$
$829$	8.97071	−	45.0988i	0.311566	−	1.56635i	0.746189	−	0.665734i	$-0.231882\pi$
$830$	−5.78587	−	15.8488i	−0.200830	−	0.550119i
$831$	−4.01114	−	21.7217i	−0.139145	−	0.753517i
$832$	−15.6835	−	7.62128i	−0.543727	−	0.264220i
$833$			22.7666i			0.788817i
$834$	−8.09278	+	4.77042i	−0.280230	+	0.165186i
$835$	−15.1921	−	3.02190i	−0.525744	−	0.104577i
$836$	−4.85941	+	56.8102i	−0.168066	+	1.96482i
$837$	37.2671	+	1.53765i	1.28814	+	0.0531490i
$838$	−4.15272	−	26.8080i	−0.143453	−	0.926067i
$839$	−6.79083	+	2.81286i	−0.234446	+	0.0971106i	−0.496813	−	0.867857i	$-0.665497\pi$
$839$	−6.79083	+	2.81286i	−0.234446	+	0.0971106i	0.262368	+	0.964968i	$0.415497\pi$
$840$	−5.36353	−	4.80755i	−0.185059	−	0.165876i
$841$	20.4375	+	8.46549i	0.704742	+	0.291914i
$842$	23.7446	+	5.78591i	0.818294	+	0.199396i
$843$	18.2242	−	7.25688i	0.627676	−	0.249940i
$844$	1.48953	−	5.14744i	0.0512719	−	0.177182i
$845$	18.3851	+	27.5152i	0.632465	+	0.946551i
$846$	−5.98986	+	12.0035i	−0.205936	+	0.412688i
$847$	1.81605	+	1.81605i	0.0624000	+	0.0624000i
$848$	−21.2116	+	0.545038i	−0.728408	+	0.0187167i
$849$	−33.2806	−	22.9053i	−1.14219	−	0.786107i
$850$	−2.21879	+	51.9733i	−0.0761038	+	1.78267i
$851$	3.88837	+	5.81935i	0.133292	+	0.199485i
$852$	−6.27238	+	11.7094i	−0.214888	+	0.401158i
$853$	1.37332	+	6.90412i	0.0470214	+	0.236393i	0.997148	−	0.0754721i	$-0.0240464\pi$
$853$	1.37332	+	6.90412i	0.0470214	+	0.236393i	−0.950126	+	0.311865i	$0.899046\pi$
$854$	3.12148	+	5.13282i	0.106815	+	0.175642i
$855$	−2.22245	+	80.8215i	−0.0760061	+	2.76404i
$856$	8.35348	−	24.8454i	0.285516	−	0.849200i
$857$	−35.7564	+	14.8108i	−1.22141	+	0.505927i	−0.897859	−	0.440283i	$-0.854878\pi$
$857$	−35.7564	+	14.8108i	−1.22141	+	0.505927i	−0.323556	+	0.946209i	$0.604878\pi$
$858$	20.4096	+	9.83654i	0.696771	+	0.335814i
$859$	11.6542	+	7.78710i	0.397637	+	0.265692i	0.738272	−	0.674503i	$-0.235642\pi$
$859$	11.6542	+	7.78710i	0.397637	+	0.265692i	−0.340635	+	0.940196i	$0.610642\pi$
$860$	−1.08778	−	3.42683i	−0.0370929	−	0.116854i
$861$	−0.0490732	+	3.56987i	−0.00167241	+	0.121661i
$862$	15.4080	−	33.1262i	0.524797	−	1.12828i
$863$		−	44.1433i		−	1.50266i	−0.659929	−	0.751328i	$-0.729413\pi$
$863$		−	44.1433i		−	1.50266i	0.659929	−	0.751328i	$-0.270587\pi$
$864$	29.1139	−	4.04749i	0.990474	−	0.137698i
$865$		−	78.9960i		−	2.68595i
$866$	31.2221	+	14.5223i	1.06097	+	0.493488i
$867$	−0.142942	+	10.3984i	−0.00485457	+	0.353149i
$868$	−4.67181	−	2.42050i	−0.158572	−	0.0821573i
$869$	−12.4912	−	8.34635i	−0.423735	−	0.283131i
$870$	−11.1891	+	23.2160i	−0.379347	+	0.787097i
$871$	−7.81483	+	3.23701i	−0.264795	+	0.109682i
$872$	−0.679493	−	9.92522i	−0.0230106	−	0.336110i
$873$	−0.831686	+	30.2451i	−0.0281483	+	1.02364i
$874$	11.9095	−	7.24263i	0.402844	−	0.244986i
$875$	−1.74765	−	8.78604i	−0.0590814	−	0.297022i
$876$	31.2330	−	9.44370i	1.05526	−	0.319073i
$877$	−0.977656	−	1.46317i	−0.0330131	−	0.0494076i	0.814596	−	0.580029i	$-0.196959\pi$
$877$	−0.977656	−	1.46317i	−0.0330131	−	0.0494076i	−0.847609	+	0.530621i	$0.821959\pi$
$878$	6.03126	+	0.257480i	0.203545	+	0.00868952i
$879$	24.2759	+	16.7078i	0.818806	+	0.563541i
$880$	57.5706	+	36.3638i	1.94070	+	1.22582i
$881$	7.29678	+	7.29678i	0.245835	+	0.245835i	0.819259	−	0.573424i	$-0.194385\pi$
$881$	7.29678	+	7.29678i	0.245835	+	0.245835i	−0.573424	+	0.819259i	$0.694385\pi$
$882$	26.0637	+	13.0061i	0.877611	+	0.437937i
$883$	25.5601	+	38.2534i	0.860167	+	1.28733i	0.956426	+	0.291975i	$0.0943123\pi$
$883$	25.5601	+	38.2534i	0.860167	+	1.28733i	−0.0962591	+	0.995356i	$0.530688\pi$
$884$	6.97744	+	12.6600i	0.234677	+	0.425802i
$885$	−50.0511	+	19.9303i	−1.68245	+	0.669951i
$886$	−7.91850	+	32.4965i	−0.266027	+	1.09174i
$887$	47.1042	+	19.5112i	1.58160	+	0.655122i	0.988667	−	0.150127i	$-0.0479682\pi$
$887$	47.1042	+	19.5112i	1.58160	+	0.655122i	0.592937	+	0.805249i	$0.297968\pi$
$888$	−21.0715	+	10.1088i	−0.707114	+	0.339230i
$889$	4.88572	−	2.02373i	0.163862	−	0.0678738i
$890$	−67.9371	+	10.5239i	−2.27726	+	0.352761i
$891$	−37.8108	+	5.38109i	−1.26671	+	0.180273i
$892$	3.97320	−	3.34704i	0.133033	−	0.112067i
$893$	−20.8344	−	4.14422i	−0.697196	−	0.138681i
$894$	−7.02249	−	11.9133i	−0.234867	−	0.398440i
$895$			11.5763i			0.386952i
$896$	−3.96295	−	1.22004i	−0.132393	−	0.0407588i
$897$	−1.00577	−	5.44659i	−0.0335817	−	0.181856i
$898$	18.7794	−	6.85574i	0.626677	−	0.228779i
$899$	−3.67281	+	18.4645i	−0.122495	+	0.615825i
$900$	58.2327	+	32.2313i	1.94109	+	1.07438i
$901$	14.6257	+	9.77261i	0.487254	+	0.325573i
$902$	−5.16674	−	33.3540i	−0.172034	−	1.11057i
$903$	−0.154775	−	0.238674i	−0.00515057	−	0.00794258i
$904$	−13.5839	−	50.1132i	−0.451795	−	1.66674i
$905$	−0.669618	+	1.61660i	−0.0222588	+	0.0537376i
$906$	3.31371	−	58.6804i	0.110091	−	1.94952i
$907$	8.70820	+	43.7791i	0.289151	+	1.45366i	0.803103	+	0.595841i	$0.203181\pi$
$907$	8.70820	+	43.7791i	0.289151	+	1.45366i	−0.513952	+	0.857819i	$0.671819\pi$
$908$	9.88716	−	5.44922i	0.328117	−	0.180839i
$909$	0.0672842	+	0.0476842i	0.00223168	+	0.00158159i
$910$	−3.06505	−	3.33842i	−0.101605	−	0.110667i
$911$	23.1218	−	23.1218i	0.766060	−	0.766060i	−0.211351	−	0.977410i	$-0.567786\pi$
$911$	23.1218	−	23.1218i	0.766060	−	0.766060i	0.977410	+	0.211351i	$0.0677862\pi$
$912$	18.3243	+	42.7862i	0.606780	+	1.41679i
$913$	8.92366	+	8.92366i	0.295330	+	0.295330i
$914$	−0.927780	+	21.7325i	−0.0306882	+	0.718847i
$915$	−56.1577	−	57.7231i	−1.85652	−	1.90827i
$916$	−1.15378	−	10.3498i	−0.0381218	−	0.341967i
$917$	5.47805	−	1.08965i	0.180901	−	0.0359835i
$918$	−21.6520	−	11.1789i	−0.714624	−	0.368959i
$919$	7.24727	+	3.00192i	0.239065	+	0.0990242i	0.499000	−	0.866602i	$-0.333701\pi$
$919$	7.24727	+	3.00192i	0.239065	+	0.0990242i	−0.259934	+	0.965626i	$0.583701\pi$
$920$	−1.13698	−	16.6076i	−0.0374850	−	0.547535i
$921$	−1.41217	−	2.17768i	−0.0465327	−	0.0717571i
$922$	18.9850	−	25.9449i	0.625238	−	0.854451i
$923$	−4.64354	+	6.94954i	−0.152844	+	0.228747i
$924$	5.15419	+	1.56858i	0.169560	+	0.0516024i
$925$	−51.9026	−	10.3241i	−1.70655	−	0.339453i
$926$	12.4315	−	26.7269i	0.408524	−	0.878301i
$927$	3.39226	−	1.29706i	0.111416	−	0.0426012i
$928$	−0.251838	+	14.8341i	−0.00826699	+	0.486955i
$929$	3.50530			0.115005			0.0575026	−	0.998345i	$-0.481686\pi$
$929$	3.50530			0.115005			0.0575026	+	0.998345i	$0.481686\pi$
$930$	68.2940	+	17.6393i	2.23945	+	0.578414i
$931$	−8.99853	+	45.2387i	−0.294915	+	1.48264i
$932$	−51.9204	+	16.4810i	−1.70071	+	0.539855i
$933$	−38.7766	−	16.6899i	−1.26949	−	0.546402i
$934$	19.8896	−	27.1812i	0.650808	−	0.889395i
$935$	−21.6023	−	52.1525i	−0.706470	−	1.70557i
$936$	18.4795	−	0.755554i	0.604021	−	0.0246961i
$937$	18.5415	−	44.7631i	0.605724	−	1.46235i	−0.261884	−	0.965099i	$-0.584344\pi$
$937$	18.5415	−	44.7631i	0.605724	−	1.46235i	0.867608	−	0.497249i	$-0.165656\pi$
$938$	−1.71860	+	1.04515i	−0.0561144	+	0.0341254i
$939$	9.05203	−	3.60452i	0.295402	−	0.117629i
$940$	−15.8406	+	19.8155i	−0.516665	+	0.646311i
$941$	−36.5079	+	24.3938i	−1.19012	+	0.795215i	−0.983091	−	0.183120i	$-0.941380\pi$
$941$	−36.5079	+	24.3938i	−1.19012	+	0.795215i	−0.207032	+	0.978334i	$0.566380\pi$
$942$	−4.97597	−	35.3257i	−0.162126	−	1.15097i
$943$	−5.83444	+	5.83444i	−0.189996	+	0.189996i
$944$	−21.3595	+	22.4862i	−0.695194	+	0.731863i
$945$	7.42509	+	1.79806i	0.241538	+	0.0584909i
$946$	1.81876	+	1.98098i	0.0591331	+	0.0644071i
$947$	25.2311	−	16.8589i	0.819900	−	0.547840i	−0.0733990	−	0.997303i	$-0.523385\pi$
$947$	25.2311	−	16.8589i	0.819900	−	0.547840i	0.893299	+	0.449463i	$0.148385\pi$
$948$	−12.2036	−	1.21305i	−0.396353	−	0.0393979i
$949$	20.1363	−	4.00536i	0.653652	−	0.130019i
$950$	−24.9514	+	102.397i	−0.809530	+	3.32220i
$951$	31.4967	+	6.71643i	1.02135	+	0.217795i
$952$	2.10050	+	2.72103i	0.0680777	+	0.0881890i
$953$	−7.37516	−	17.8052i	−0.238905	−	0.576768i	0.758265	−	0.651946i	$-0.226047\pi$
$953$	−7.37516	−	17.8052i	−0.238905	−	0.576768i	−0.997170	+	0.0751787i	$0.976047\pi$
$954$	19.5433	−	11.1610i	0.632736	−	0.361351i
$955$	−18.8141	+	28.1573i	−0.608811	+	0.911149i
$956$	48.1327	+	4.11715i	1.55672	+	0.133158i
$957$	0.264965	−	19.2751i	0.00856512	−	0.623076i
$958$	−1.34679	+	0.491668i	−0.0435127	+	0.0158851i
$959$	0.0136419			0.000440519
$960$	55.4367	+	4.07559i	1.78921	+	0.131539i
$961$	20.5259			0.662127
$962$	−13.8135	+	5.04285i	−0.445365	+	0.162588i
$963$	4.67235	+	27.4068i	0.150564	+	0.883170i
$964$	3.09275	−	36.1566i	0.0996107	−	1.16452i
$965$	31.7964	−	47.5867i	1.02356	−	1.53187i
$966$	−0.434617	−	1.24330i	−0.0139836	−	0.0400026i
$967$	4.18748	+	10.1095i	0.134660	+	0.325098i	0.976798	−	0.214165i	$-0.0687029\pi$
$967$	4.18748	+	10.1095i	0.134660	+	0.325098i	−0.842137	+	0.539263i	$0.818703\pi$
$968$	−19.6581	−	2.52997i	−0.631837	−	0.0813164i
$969$	8.04721	−	37.7374i	0.258514	−	1.21230i
$970$	−13.5460	+	55.5911i	−0.434936	+	1.78492i
$971$	−34.2086	+	6.80451i	−1.09781	+	0.218367i	−0.710579	−	0.703618i	$-0.751567\pi$
$971$	−34.2086	+	6.80451i	−1.09781	+	0.218367i	−0.387226	+	0.921985i	$0.626567\pi$
$972$	−25.1672	+	18.4015i	−0.807237	+	0.590227i
$973$	−1.16870	+	0.780903i	−0.0374669	+	0.0250346i
$974$	26.2178	+	28.5562i	0.840073	+	0.914999i
$975$	34.4977	+	23.7429i	1.10481	+	0.760383i
$976$	−43.2742	−	16.6357i	−1.38517	−	0.532497i
$977$	−17.0570	+	17.0570i	−0.545702	+	0.545702i	−0.925195	−	0.379493i	$-0.876099\pi$
$977$	−17.0570	+	17.0570i	−0.545702	+	0.545702i	0.379493	+	0.925195i	$0.376099\pi$
$978$	−5.13257	+	0.722972i	−0.164122	+	0.0231181i
$979$	42.7560	−	28.5687i	1.36649	−	0.913059i
$980$	43.0264	+	34.3955i	1.37443	+	1.09872i
$981$	5.61895	+	8.93143i	0.179399	+	0.285159i
$982$	−18.0776	+	10.9937i	−0.576881	+	0.350824i
$983$	13.6403	−	32.9306i	0.435059	−	1.05032i	−0.542575	−	0.840008i	$-0.682550\pi$
$983$	13.6403	−	32.9306i	0.435059	−	1.05032i	0.977633	−	0.210317i	$-0.0674495\pi$
$984$	−16.5350	−	22.0394i	−0.527115	−	0.702591i
$985$	13.4319	+	32.4275i	0.427976	+	1.03323i
$986$	7.26309	−	9.92574i	0.231304	−	0.316100i
$987$	−0.793540	+	1.84368i	−0.0252587	+	0.0586850i
$988$	8.86072	+	27.9140i	0.281897	+	0.888063i
$989$	0.128259	−	0.644800i	0.00407839	−	0.0205034i
$990$	−72.0462	−	5.06280i	−2.28978	−	0.160906i
$991$	−48.4738			−1.53982			−0.769911	−	0.638151i	$-0.779699\pi$
$991$	−48.4738			−1.53982			−0.769911	+	0.638151i	$0.779699\pi$
$992$	39.9543	−	7.24464i	1.26855	−	0.230017i
$993$	2.83088	+	15.3302i	0.0898354	+	0.486488i
$994$	−0.838226	+	1.80213i	−0.0265869	+	0.0571602i
$995$	72.1404	+	14.3496i	2.28701	+	0.454914i
$996$	9.85570	+	2.99939i	0.312290	+	0.0950394i
$997$	−0.890075	+	1.33209i	−0.0281889	+	0.0421877i	−0.845296	−	0.534298i	$-0.820576\pi$
$997$	−0.890075	+	1.33209i	−0.0281889	+	0.0421877i	0.817108	+	0.576485i	$0.195576\pi$
$998$	28.7064	−	39.2302i	0.908686	−	1.24181i
$999$	14.6098	−	20.0257i	0.462233	−	0.633584i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.131.19	yes	240
3.2	odd	2	inner	192.2.s.a.131.12	yes	240
4.3	odd	2		768.2.s.a.431.1		240
12.11	even	2		768.2.s.a.431.4		240
64.21	even	16		768.2.s.a.335.4		240
64.43	odd	16	inner	192.2.s.a.107.12	✓	240
192.107	even	16	inner	192.2.s.a.107.19	yes	240
192.149	odd	16		768.2.s.a.335.1		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.12	✓	240	64.43	odd	16	inner
192.2.s.a.107.19	yes	240	192.107	even	16	inner
192.2.s.a.131.12	yes	240	3.2	odd	2	inner
192.2.s.a.131.19	yes	240	1.1	even	1	trivial
768.2.s.a.335.1		240	192.149	odd	16
768.2.s.a.335.4		240	64.21	even	16
768.2.s.a.431.1		240	4.3	odd	2
768.2.s.a.431.4		240	12.11	even	2

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)

\(f(q)\)	\(=\)	\(q+(0.484976 + 1.32846i) q^{2} +(1.73189 + 0.0238074i) q^{3} +(-1.52960 + 1.28854i) q^{4} +(2.22872 - 3.33552i) q^{5} +(0.808297 + 2.31228i) q^{6} +(0.140254 + 0.338604i) q^{7} +(-2.45359 - 1.40709i) q^{8} +(2.99887 + 0.0824635i) q^{9} +O(q^{10})\)	\(q+(0.484976 + 1.32846i) q^{2} +(1.73189 + 0.0238074i) q^{3} +(-1.52960 + 1.28854i) q^{4} +(2.22872 - 3.33552i) q^{5} +(0.808297 + 2.31228i) q^{6} +(0.140254 + 0.338604i) q^{7} +(-2.45359 - 1.40709i) q^{8} +(2.99887 + 0.0824635i) q^{9} +(5.51197 + 1.34312i) q^{10} +(-4.16199 + 0.827871i) q^{11} +(-2.67977 + 2.19519i) q^{12} +(-1.81231 + 1.21095i) q^{13} +(-0.381801 + 0.350537i) q^{14} +(3.93931 - 5.72369i) q^{15} +(0.679331 - 3.94189i) q^{16} +(-2.34477 + 2.34477i) q^{17} +(1.34483 + 4.02386i) q^{18} +(-5.58598 + 3.73243i) q^{19} +(0.888903 + 7.97380i) q^{20} +(0.234843 + 0.589763i) q^{21} +(-3.11826 - 5.12753i) q^{22} +(-0.561434 + 1.35542i) q^{23} +(-4.21584 - 2.49534i) q^{24} +(-4.24507 - 10.2485i) q^{25} +(-2.48762 - 1.82030i) q^{26} +(5.19174 + 0.214213i) q^{27} +(-0.650837 - 0.337204i) q^{28} +(-0.511665 + 2.57231i) q^{29} +(9.51414 + 2.45735i) q^{30} +7.17816 q^{31} +(5.56609 - 1.00926i) q^{32} +(-7.22781 + 1.33469i) q^{33} +(-4.25209 - 1.97777i) q^{34} +(1.44201 + 0.286833i) q^{35} +(-4.69331 + 3.73802i) q^{36} +(2.65038 - 3.96658i) q^{37} +(-7.66744 - 5.61059i) q^{38} +(-3.16755 + 2.05408i) q^{39} +(-10.1618 + 5.04797i) q^{40} +(5.19602 + 2.15226i) q^{41} +(-0.669581 + 0.598000i) q^{42} +(-0.439507 + 0.0874234i) q^{43} +(5.29942 - 6.62920i) q^{44} +(6.95870 - 9.81899i) q^{45} +(-2.07290 - 0.0884939i) q^{46} +(2.23583 + 2.23583i) q^{47} +(1.27037 - 6.81074i) q^{48} +(4.85477 - 4.85477i) q^{49} +(11.5560 - 10.6097i) q^{50} +(-4.11670 + 4.00506i) q^{51} +(1.21175 - 4.18749i) q^{52} +(-1.03488 - 5.20272i) q^{53} +(2.23329 + 7.00089i) q^{54} +(-6.51454 + 15.7275i) q^{55} +(0.132321 - 1.02815i) q^{56} +(-9.76314 + 6.33116i) q^{57} +(-3.66535 + 0.567786i) q^{58} +(-6.44677 - 4.30759i) q^{59} +(1.34964 + 13.8309i) q^{60} +(2.26118 - 11.3677i) q^{61} +(3.48123 + 9.53587i) q^{62} +(0.392682 + 1.02699i) q^{63} +(4.04018 + 6.90485i) q^{64} +8.74387i q^{65} +(-5.27840 - 8.95454i) q^{66} +(3.80620 + 0.757101i) q^{67} +(0.565223 - 6.60788i) q^{68} +(-1.00461 + 2.33407i) q^{69} +(0.318294 + 2.05475i) q^{70} +(3.54274 - 1.46745i) q^{71} +(-7.24195 - 4.42201i) q^{72} +(-8.70231 - 3.60462i) q^{73} +(6.55480 + 1.59722i) q^{74} +(-7.10800 - 17.8503i) q^{75} +(3.73490 - 12.9069i) q^{76} +(-0.864058 - 1.29315i) q^{77} +(-4.26494 - 3.21177i) q^{78} +(2.50332 + 2.50332i) q^{79} +(-11.6342 - 11.0513i) q^{80} +(8.98640 + 0.494594i) q^{81} +(-0.339242 + 7.94648i) q^{82} +(-1.65223 - 2.47273i) q^{83} +(-1.11915 - 0.599494i) q^{84} +(2.59519 + 13.0469i) q^{85} +(-0.329289 - 0.541468i) q^{86} +(-0.947386 + 4.44278i) q^{87} +(11.3767 + 3.82505i) q^{88} +(-11.1954 + 4.63728i) q^{89} +(16.4189 + 4.48236i) q^{90} +(-0.664216 - 0.443815i) q^{91} +(-0.887747 - 2.79668i) q^{92} +(12.4318 + 0.170893i) q^{93} +(-1.88588 + 4.05453i) q^{94} +26.9507i q^{95} +(9.66387 - 1.61541i) q^{96} +10.0855i q^{97} +(8.80379 + 4.09490i) q^{98} +(-12.5495 + 2.13946i) 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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