LMFDB - Embedded newform 273.2.cg.a.124.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cg (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			124.6
Character	$\chi$	$=$	273.124
Dual form			273.2.cg.a.262.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.157691 - 0.588511i) q^{2} +1.00000i q^{3} +(1.41057 + 0.814394i) q^{4} +(0.529856 + 1.97745i) q^{5} +(0.588511 + 0.157691i) q^{6} +(-2.23905 + 1.40948i) q^{7} +(1.56335 - 1.56335i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(0.157691 - 0.588511i) q^{2} +1.00000i q^{3} +(1.41057 + 0.814394i) q^{4} +(0.529856 + 1.97745i) q^{5} +(0.588511 + 0.157691i) q^{6} +(-2.23905 + 1.40948i) q^{7} +(1.56335 - 1.56335i) q^{8} -1.00000 q^{9} +1.24730 q^{10} +(0.0718531 - 0.0718531i) q^{11} +(-0.814394 + 1.41057i) q^{12} +(-3.09469 + 1.85010i) q^{13} +(0.476419 + 1.53997i) q^{14} +(-1.97745 + 0.529856i) q^{15} +(0.955263 + 1.65456i) q^{16} +(1.81504 - 3.14374i) q^{17} +(-0.157691 + 0.588511i) q^{18} +(-1.02247 + 1.02247i) q^{19} +(-0.863023 + 3.22084i) q^{20} +(-1.40948 - 2.23905i) q^{21} +(-0.0309558 - 0.0536170i) q^{22} +(4.16264 - 2.40330i) q^{23} +(1.56335 + 1.56335i) q^{24} +(0.700572 - 0.404476i) q^{25} +(0.600801 + 2.11301i) q^{26} -1.00000i q^{27} +(-4.30622 + 0.164709i) q^{28} +(3.79375 - 6.57097i) q^{29} +1.24730i q^{30} +(6.47506 + 1.73499i) q^{31} +(5.39553 - 1.44573i) q^{32} +(0.0718531 + 0.0718531i) q^{33} +(-1.56391 - 1.56391i) q^{34} +(-3.97356 - 3.68079i) q^{35} +(-1.41057 - 0.814394i) q^{36} +(2.94272 + 0.788499i) q^{37} +(0.440501 + 0.762971i) q^{38} +(-1.85010 - 3.09469i) q^{39} +(3.91981 + 2.26310i) q^{40} +(0.872020 + 3.25442i) q^{41} +(-1.53997 + 0.476419i) q^{42} +(-7.21579 + 4.16604i) q^{43} +(0.159871 - 0.0428372i) q^{44} +(-0.529856 - 1.97745i) q^{45} +(-0.757958 - 2.82874i) q^{46} +(-1.97786 + 0.529965i) q^{47} +(-1.65456 + 0.955263i) q^{48} +(3.02671 - 6.31182i) q^{49} +(-0.127564 - 0.476077i) q^{50} +(3.14374 + 1.81504i) q^{51} +(-5.87200 + 0.0894038i) q^{52} +(-5.27832 - 9.14232i) q^{53} +(-0.588511 - 0.157691i) q^{54} +(0.180158 + 0.104014i) q^{55} +(-1.29691 + 5.70396i) q^{56} +(-1.02247 - 1.02247i) q^{57} +(-3.26885 - 3.26885i) q^{58} +(-2.16983 + 0.581405i) q^{59} +(-3.22084 - 0.863023i) q^{60} -5.95284i q^{61} +(2.04212 - 3.53706i) q^{62} +(2.23905 - 1.40948i) q^{63} +0.417744i q^{64} +(-5.29822 - 5.13931i) q^{65} +(0.0536170 - 0.0309558i) q^{66} +(-4.43138 - 4.43138i) q^{67} +(5.12048 - 2.95631i) q^{68} +(2.40330 + 4.16264i) q^{69} +(-2.79278 + 1.75806i) q^{70} +(-0.0733605 + 0.273785i) q^{71} +(-1.56335 + 1.56335i) q^{72} +(1.11841 - 4.17396i) q^{73} +(0.928081 - 1.60748i) q^{74} +(0.404476 + 0.700572i) q^{75} +(-2.27496 + 0.609575i) q^{76} +(-0.0596070 + 0.262159i) q^{77} +(-2.11301 + 0.600801i) q^{78} +(-5.01725 + 8.69014i) q^{79} +(-2.76566 + 2.76566i) q^{80} +1.00000 q^{81} +2.05277 q^{82} +(-3.74842 + 3.74842i) q^{83} +(-0.164709 - 4.30622i) q^{84} +(7.17828 + 1.92342i) q^{85} +(1.31389 + 4.90352i) q^{86} +(6.57097 + 3.79375i) q^{87} -0.224664i q^{88} +(-2.10467 + 7.85472i) q^{89} -1.24730 q^{90} +(4.32149 - 8.50440i) q^{91} +7.82893 q^{92} +(-1.73499 + 6.47506i) q^{93} +1.24756i q^{94} +(-2.56365 - 1.48012i) q^{95} +(1.44573 + 5.39553i) q^{96} +(-16.5697 - 4.43983i) q^{97} +(-3.23729 - 2.77657i) q^{98} +(-0.0718531 + 0.0718531i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 - 36 * q^9	$ 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.157691	−	0.588511i	0.111504	−	0.416140i	−0.887497	−	0.460813i	$-0.847558\pi$
$2$	0.157691	−	0.588511i	0.111504	−	0.416140i	0.999002	+	0.0446728i	$0.0142245\pi$
$3$			1.00000i			0.577350i
$3$			1.00000i			0.577350i
$4$	1.41057	+	0.814394i	0.705286	+	0.407197i
$5$	0.529856	+	1.97745i	0.236959	+	0.884342i	0.977256	+	0.212062i	$0.0680180\pi$
$5$	0.529856	+	1.97745i	0.236959	+	0.884342i	−0.740297	+	0.672279i	$0.765315\pi$
$6$	0.588511	+	0.157691i	0.240259	+	0.0643771i
$7$	−2.23905	+	1.40948i	−0.846282	+	0.532735i
$7$	−2.23905	+	1.40948i	−0.846282	+	0.532735i
$8$	1.56335	−	1.56335i	0.552729	−	0.552729i
$9$	−1.00000			−0.333333
$10$	1.24730			0.394432
$11$	0.0718531	−	0.0718531i	0.0216645	−	0.0216645i	−0.696192	−	0.717856i	$-0.745124\pi$
$11$	0.0718531	−	0.0718531i	0.0216645	−	0.0216645i	0.717856	+	0.696192i	$0.245124\pi$
$12$	−0.814394	+	1.41057i	−0.235095	+	0.407197i
$13$	−3.09469	+	1.85010i	−0.858313	+	0.513126i
$13$	−3.09469	+	1.85010i	−0.858313	+	0.513126i
$14$	0.476419	+	1.53997i	0.127328	+	0.411574i
$15$	−1.97745	+	0.529856i	−0.510575	+	0.136808i
$16$	0.955263	+	1.65456i	0.238816	+	0.413641i
$17$	1.81504	−	3.14374i	0.440211	−	0.762468i	−0.557494	−	0.830181i	$-0.688237\pi$
$17$	1.81504	−	3.14374i	0.440211	−	0.762468i	0.997705	+	0.0677131i	$0.0215703\pi$
$18$	−0.157691	+	0.588511i	−0.0371682	+	0.138713i
$19$	−1.02247	+	1.02247i	−0.234571	+	0.234571i	−0.814598	−	0.580026i	$-0.803042\pi$
$19$	−1.02247	+	1.02247i	−0.234571	+	0.234571i	0.580026	+	0.814598i	$0.303042\pi$
$20$	−0.863023	+	3.22084i	−0.192978	+	0.720203i
$21$	−1.40948	−	2.23905i	−0.307575	−	0.488601i
$22$	−0.0309558	−	0.0536170i	−0.00659979	−	0.0114312i
$23$	4.16264	−	2.40330i	0.867970	−	0.501122i	0.00129662	−	0.999999i	$-0.499587\pi$
$23$	4.16264	−	2.40330i	0.867970	−	0.501122i	0.866673	+	0.498877i	$0.166254\pi$
$24$	1.56335	+	1.56335i	0.319118	+	0.319118i
$25$	0.700572	−	0.404476i	0.140114	−	0.0808951i
$26$	0.600801	+	2.11301i	0.117827	+	0.414395i
$27$		−	1.00000i		−	0.192450i
$28$	−4.30622	+	0.164709i	−0.813799	+	0.0311270i
$29$	3.79375	−	6.57097i	0.704482	−	1.22020i	−0.262397	−	0.964960i	$-0.584513\pi$
$29$	3.79375	−	6.57097i	0.704482	−	1.22020i	0.966878	−	0.255238i	$-0.0821538\pi$
$30$			1.24730i			0.227726i
$31$	6.47506	+	1.73499i	1.16296	+	0.311613i	0.788146	−	0.615489i	$-0.211041\pi$
$31$	6.47506	+	1.73499i	1.16296	+	0.311613i	0.374810	+	0.927102i	$0.377708\pi$
$32$	5.39553	−	1.44573i	0.953804	−	0.255571i
$33$	0.0718531	+	0.0718531i	0.0125080	+	0.0125080i
$34$	−1.56391	−	1.56391i	−0.268208	−	0.268208i
$35$	−3.97356	−	3.68079i	−0.671654	−	0.622166i
$36$	−1.41057	−	0.814394i	−0.235095	−	0.135732i
$37$	2.94272	+	0.788499i	0.483780	+	0.129628i	0.492462	−	0.870334i	$-0.336097\pi$
$37$	2.94272	+	0.788499i	0.483780	+	0.129628i	−0.00868212	+	0.999962i	$0.502764\pi$
$38$	0.440501	+	0.762971i	0.0714588	+	0.123770i
$39$	−1.85010	−	3.09469i	−0.296254	−	0.495547i
$40$	3.91981	+	2.26310i	0.619776	+	0.357828i
$41$	0.872020	+	3.25442i	0.136187	+	0.508256i	0.999990	+	0.00442675i	$0.00140908\pi$
$41$	0.872020	+	3.25442i	0.136187	+	0.508256i	−0.863804	+	0.503829i	$0.831924\pi$
$42$	−1.53997	+	0.476419i	−0.237623	+	0.0735130i
$43$	−7.21579	+	4.16604i	−1.10040	+	0.635315i	−0.936326	−	0.351133i	$-0.885796\pi$
$43$	−7.21579	+	4.16604i	−1.10040	+	0.635315i	−0.164073	+	0.986448i	$0.552463\pi$
$44$	0.159871	−	0.0428372i	0.0241014	−	0.00645796i
$45$	−0.529856	−	1.97745i	−0.0789862	−	0.294781i
$46$	−0.757958	−	2.82874i	−0.111755	−	0.417075i
$47$	−1.97786	+	0.529965i	−0.288500	+	0.0773034i	−0.400167	−	0.916442i	$-0.631048\pi$
$47$	−1.97786	+	0.529965i	−0.288500	+	0.0773034i	0.111667	+	0.993746i	$0.464381\pi$
$48$	−1.65456	+	0.955263i	−0.238816	+	0.137880i
$49$	3.02671	−	6.31182i	0.432387	−	0.901688i
$50$	−0.127564	−	0.476077i	−0.0180403	−	0.0673275i
$51$	3.14374	+	1.81504i	0.440211	+	0.254156i
$52$	−5.87200	+	0.0894038i	−0.814300	+	0.0123981i
$53$	−5.27832	−	9.14232i	−0.725033	−	1.25579i	−0.958960	−	0.283540i	$-0.908491\pi$
$53$	−5.27832	−	9.14232i	−0.725033	−	1.25579i	0.233927	−	0.972254i	$-0.424842\pi$
$54$	−0.588511	−	0.157691i	−0.0800862	−	0.0214590i
$55$	0.180158	+	0.104014i	0.0242924	+	0.0140252i
$56$	−1.29691	+	5.70396i	−0.173307	+	0.762223i
$57$	−1.02247	−	1.02247i	−0.135430	−	0.135430i
$58$	−3.26885	−	3.26885i	−0.429221	−	0.429221i
$59$	−2.16983	+	0.581405i	−0.282488	+	0.0756924i	−0.397281	−	0.917697i	$-0.630046\pi$
$59$	−2.16983	+	0.581405i	−0.282488	+	0.0756924i	0.114793	+	0.993389i	$0.463380\pi$
$60$	−3.22084	−	0.863023i	−0.415809	−	0.111416i
$61$		−	5.95284i		−	0.762183i	−0.924537	−	0.381091i	$-0.875548\pi$
$61$		−	5.95284i		−	0.762183i	0.924537	−	0.381091i	$-0.124452\pi$
$62$	2.04212	−	3.53706i	0.259349	−	0.449206i
$63$	2.23905	−	1.40948i	0.282094	−	0.177578i
$64$			0.417744i			0.0522180i
$65$	−5.29822	−	5.13931i	−0.657164	−	0.637453i
$66$	0.0536170	−	0.0309558i	0.00659979	−	0.00381039i
$67$	−4.43138	−	4.43138i	−0.541379	−	0.541379i	0.382554	−	0.923933i	$-0.375045\pi$
$67$	−4.43138	−	4.43138i	−0.541379	−	0.541379i	−0.923933	+	0.382554i	$0.875045\pi$
$68$	5.12048	−	2.95631i	0.620949	−	0.358505i
$69$	2.40330	+	4.16264i	0.289323	+	0.501122i
$70$	−2.79278	+	1.75806i	−0.333801	+	0.210128i
$71$	−0.0733605	+	0.273785i	−0.00870629	+	0.0324923i	−0.970142	−	0.242536i	$-0.922021\pi$
$71$	−0.0733605	+	0.273785i	−0.00870629	+	0.0324923i	0.961436	+	0.275029i	$0.0886873\pi$
$72$	−1.56335	+	1.56335i	−0.184243	+	0.184243i
$73$	1.11841	−	4.17396i	0.130900	−	0.488525i	−0.869081	−	0.494669i	$-0.835289\pi$
$73$	1.11841	−	4.17396i	0.130900	−	0.488525i	0.999981	+	0.00614434i	$0.00195582\pi$
$74$	0.928081	−	1.60748i	0.107887	−	0.186866i
$75$	0.404476	+	0.700572i	0.0467048	+	0.0808951i
$76$	−2.27496	+	0.609575i	−0.260956	+	0.0699230i
$77$	−0.0596070	+	0.262159i	−0.00679285	+	0.0298758i
$78$	−2.11301	+	0.600801i	−0.239251	+	0.0680273i
$79$	−5.01725	+	8.69014i	−0.564485	+	0.977717i	0.432612	+	0.901580i	$0.357592\pi$
$79$	−5.01725	+	8.69014i	−0.564485	+	0.977717i	−0.997097	+	0.0761370i	$0.975741\pi$
$80$	−2.76566	+	2.76566i	−0.309211	+	0.309211i
$81$	1.00000			0.111111
$82$	2.05277			0.226691
$83$	−3.74842	+	3.74842i	−0.411442	+	0.411442i	−0.882241	−	0.470798i	$-0.843966\pi$
$83$	−3.74842	+	3.74842i	−0.411442	+	0.411442i	0.470798	+	0.882241i	$0.343966\pi$
$84$	−0.164709	−	4.30622i	−0.0179712	−	0.469847i
$85$	7.17828	+	1.92342i	0.778594	+	0.208624i
$86$	1.31389	+	4.90352i	0.141681	+	0.528760i
$87$	6.57097	+	3.79375i	0.704482	+	0.406733i
$88$		−	0.224664i		−	0.0239492i
$89$	−2.10467	+	7.85472i	−0.223094	+	0.832599i	0.760065	+	0.649847i	$0.225167\pi$
$89$	−2.10467	+	7.85472i	−0.223094	+	0.832599i	−0.983159	+	0.182752i	$0.941500\pi$
$90$	−1.24730			−0.131477
$91$	4.32149	−	8.50440i	0.453015	−	0.891503i
$92$	7.82893			0.816222
$93$	−1.73499	+	6.47506i	−0.179910	+	0.671433i
$94$			1.24756i			0.128676i
$95$	−2.56365	−	1.48012i	−0.263025	−	0.151857i
$96$	1.44573	+	5.39553i	0.147554	+	0.550679i
$97$	−16.5697	−	4.43983i	−1.68239	−	0.450796i	−0.713985	−	0.700161i	$-0.753111\pi$
$97$	−16.5697	−	4.43983i	−1.68239	−	0.450796i	−0.968410	+	0.249365i	$0.919778\pi$
$98$	−3.23729	−	2.77657i	−0.327016	−	0.280476i
$99$	−0.0718531	+	0.0718531i	−0.00722151	+	0.00722151i
$100$	1.31761			0.131761
$101$	18.8102			1.87168			0.935840	−	0.352425i	$-0.114643\pi$
$101$	18.8102			1.87168			0.935840	+	0.352425i	$0.114643\pi$
$102$	1.56391	−	1.56391i	0.154850	−	0.154850i
$103$	−0.800311	+	1.38618i	−0.0788569	+	0.136584i	−0.902757	−	0.430151i	$-0.858460\pi$
$103$	−0.800311	+	1.38618i	−0.0788569	+	0.136584i	0.823900	+	0.566735i	$0.191794\pi$
$104$	−1.94574	+	7.73047i	−0.190795	+	0.758035i
$105$	3.68079	−	3.97356i	0.359208	−	0.387779i
$106$	−6.21270	+	1.66469i	−0.603431	+	0.161689i
$107$	−9.06827	−	15.7067i	−0.876663	−	1.51842i	−0.854981	−	0.518660i	$-0.826431\pi$
$107$	−9.06827	−	15.7067i	−0.876663	−	1.51842i	−0.0216825	−	0.999765i	$-0.506902\pi$
$108$	0.814394	−	1.41057i	0.0783651	−	0.135732i
$109$	3.11385	−	11.6210i	0.298252	−	1.11309i	−0.640347	−	0.768085i	$-0.721210\pi$
$109$	3.11385	−	11.6210i	0.298252	−	1.11309i	0.938600	−	0.345008i	$-0.112124\pi$
$110$	0.0896227	−	0.0896227i	0.00854519	−	0.00854519i
$111$	−0.788499	+	2.94272i	−0.0748410	+	0.279311i
$112$	−4.47097	−	2.35823i	−0.422467	−	0.222832i
$113$	5.06433	+	8.77167i	0.476412	+	0.825170i	0.999635	−	0.0270263i	$-0.00860379\pi$
$113$	5.06433	+	8.77167i	0.476412	+	0.825170i	−0.523223	+	0.852196i	$0.675270\pi$
$114$	−0.762971	+	0.440501i	−0.0714588	+	0.0412567i
$115$	6.95800	+	6.95800i	0.648836	+	0.648836i
$116$	10.7027	−	6.17921i	0.993722	−	0.573726i
$117$	3.09469	−	1.85010i	0.286104	−	0.171042i
$118$			1.36865i			0.125995i
$119$	0.367085	+	9.59726i	0.0336506	+	0.879779i
$120$	−2.26310	+	3.91981i	−0.206592	+	0.357828i
$121$			10.9897i			0.999061i
$122$	−3.50331	−	0.938710i	−0.317175	−	0.0849868i
$123$	−3.25442	+	0.872020i	−0.293441	+	0.0786274i
$124$	7.72058	+	7.72058i	0.693328	+	0.693328i
$125$	8.40900	+	8.40900i	0.752123	+	0.752123i
$126$	−0.476419	−	1.53997i	−0.0424428	−	0.137191i
$127$	7.73205	+	4.46410i	0.686108	+	0.396125i	0.802152	−	0.597119i	$-0.203688\pi$
$127$	7.73205	+	4.46410i	0.686108	+	0.396125i	−0.116044	+	0.993244i	$0.537021\pi$
$128$	11.0369	+	2.95733i	0.975534	+	0.261394i
$129$	−4.16604	−	7.21579i	−0.366799	−	0.635315i
$130$	−3.86002	+	2.30764i	−0.338546	+	0.202393i
$131$	−16.4911	−	9.52114i	−1.44083	−	0.831866i	−0.442929	−	0.896557i	$-0.646061\pi$
$131$	−16.4911	−	9.52114i	−1.44083	−	0.831866i	−0.997905	+	0.0646904i	$0.979394\pi$
$132$	0.0428372	+	0.159871i	0.00372850	+	0.0139150i
$133$	0.848209	−	3.73053i	0.0735491	−	0.323478i
$134$	−3.30670	+	1.90913i	−0.285656	+	0.164923i
$135$	1.97745	−	0.529856i	0.170192	−	0.0456027i
$136$	−2.07723	−	7.75232i	−0.178121	−	0.664756i
$137$	0.955092	+	3.56445i	0.0815990	+	0.304532i	0.994648	−	0.103317i	$-0.0329457\pi$
$137$	0.955092	+	3.56445i	0.0815990	+	0.304532i	−0.913049	+	0.407849i	$0.866279\pi$
$138$	2.82874	−	0.757958i	0.240798	−	0.0645217i
$139$	3.25815	−	1.88110i	0.276353	−	0.159552i	−0.355418	−	0.934707i	$-0.615662\pi$
$139$	3.25815	−	1.88110i	0.276353	−	0.159552i	0.631771	+	0.775155i	$0.282328\pi$
$140$	−2.60738	−	8.42805i	−0.220364	−	0.712301i
$141$	−0.529965	−	1.97786i	−0.0446311	−	0.166566i
$142$	0.149557	+	0.0863470i	0.0125506	+	0.00724608i
$143$	−0.0894276	+	0.355299i	−0.00747831	+	0.0297116i
$144$	−0.955263	−	1.65456i	−0.0796053	−	0.137880i
$145$	15.0039	+	4.02028i	1.24601	+	0.333866i
$146$	−2.28006	−	1.31639i	−0.188699	−	0.108945i
$147$	6.31182	+	3.02671i	0.520590	+	0.249639i
$148$	3.50877	+	3.50877i	0.288419	+	0.288419i
$149$	−10.7929	−	10.7929i	−0.884191	−	0.884191i	0.109766	−	0.993957i	$-0.464990\pi$
$149$	−10.7929	−	10.7929i	−0.884191	−	0.884191i	−0.993957	+	0.109766i	$0.964990\pi$
$150$	0.476077	−	0.127564i	0.0388715	−	0.0104156i
$151$	12.2908	+	3.29330i	1.00021	+	0.268005i	0.721533	−	0.692380i	$-0.243438\pi$
$151$	12.2908	+	3.29330i	1.00021	+	0.268005i	0.278676	+	0.960385i	$0.410105\pi$
$152$			3.19697i			0.259309i
$153$	−1.81504	+	3.14374i	−0.146737	+	0.254156i
$154$	0.144884	+	0.0764195i	0.0116751	+	0.00615806i
$155$			13.7234i			1.10229i
$156$	−0.0894038	−	5.87200i	−0.00715803	−	0.470136i
$157$	15.3520	−	8.86346i	1.22522	−	0.707381i	0.259194	−	0.965825i	$-0.416543\pi$
$157$	15.3520	−	8.86346i	1.22522	−	0.707381i	0.966026	+	0.258444i	$0.0832096\pi$
$158$	4.32307	+	4.32307i	0.343925	+	0.343925i
$159$	9.14232	−	5.27832i	0.725033	−	0.418598i
$160$	5.71771	+	9.90336i	0.452024	+	0.782929i
$161$	−5.93295	+	11.2483i	−0.467582	+	0.886489i
$162$	0.157691	−	0.588511i	0.0123894	−	0.0462378i
$163$	−16.8669	+	16.8669i	−1.32111	+	1.32111i	−0.408240	+	0.912874i	$0.633858\pi$
$163$	−16.8669	+	16.8669i	−1.32111	+	1.32111i	−0.912874	+	0.408240i	$0.866142\pi$
$164$	−1.42034	+	5.30077i	−0.110910	+	0.413920i
$165$	−0.104014	+	0.180158i	−0.00809748	+	0.0140252i
$166$	1.61489	+	2.79708i	0.125340	+	0.217095i
$167$	−6.81217	+	1.82532i	−0.527141	+	0.141247i	−0.512568	−	0.858647i	$-0.671306\pi$
$167$	−6.81217	+	1.82532i	−0.527141	+	0.141247i	−0.0145735	+	0.999894i	$0.504639\pi$
$168$	−5.70396	−	1.29691i	−0.440070	−	0.100059i
$169$	6.15424	−	11.4510i	0.473403	−	0.880846i
$170$	2.26390	−	3.92119i	0.173633	−	0.300742i
$171$	1.02247	−	1.02247i	0.0781904	−	0.0781904i
$172$	−13.5712			−1.03479
$173$	−22.3300			−1.69772			−0.848859	−	0.528619i	$-0.822710\pi$
$173$	−22.3300			−1.69772			−0.848859	+	0.528619i	$0.822710\pi$
$174$	3.26885	−	3.26885i	0.247811	−	0.247811i
$175$	−0.998516	+	1.89309i	−0.0754807	+	0.143104i
$176$	0.187524	+	0.0502470i	0.0141352	+	0.00378751i
$177$	−0.581405	−	2.16983i	−0.0437010	−	0.163095i
$178$	4.29070	+	2.47724i	0.321602	+	0.185677i
$179$			9.78209i			0.731147i	0.930782	+	0.365574i	$0.119127\pi$
$179$			9.78209i			0.731147i	−0.930782	+	0.365574i	$0.880873\pi$
$180$	0.863023	−	3.22084i	0.0643259	−	0.240068i
$181$	14.1944			1.05506			0.527530	−	0.849536i	$-0.323118\pi$
$181$	14.1944			1.05506			0.527530	+	0.849536i	$0.323118\pi$
$182$	−4.32347	−	3.88431i	−0.320477	−	0.287924i
$183$	5.95284			0.440046
$184$	2.75047	−	10.2649i	0.202767	−	0.756737i
$185$			6.23687i			0.458544i
$186$	3.53706	+	2.04212i	0.259349	+	0.149735i
$187$	−0.0954712	−	0.356303i	−0.00698154	−	0.0260555i
$188$	−3.22151	−	0.863201i	−0.234953	−	0.0629554i
$189$	1.40948	+	2.23905i	0.102525	+	0.162867i
$190$	−1.27533	+	1.27533i	−0.0925224	+	0.0925224i
$191$	−4.66693			−0.337687			−0.168844	−	0.985643i	$-0.554003\pi$
$191$	−4.66693			−0.337687			−0.168844	+	0.985643i	$0.554003\pi$
$192$	−0.417744			−0.0301481
$193$	3.71897	−	3.71897i	0.267697	−	0.267697i	−0.560475	−	0.828172i	$-0.689381\pi$
$193$	3.71897	−	3.71897i	0.267697	−	0.267697i	0.828172	+	0.560475i	$0.189381\pi$
$194$	−5.22578	+	9.05131i	−0.375189	+	0.649846i
$195$	5.13931	−	5.29822i	0.368033	−	0.379414i
$196$	9.40969	−	6.43834i	0.672121	−	0.459881i
$197$	−11.0378	+	2.95757i	−0.786411	+	0.210718i	−0.629609	−	0.776912i	$-0.716785\pi$
$197$	−11.0378	+	2.95757i	−0.786411	+	0.210718i	−0.156802	+	0.987630i	$0.550118\pi$
$198$	0.0309558	+	0.0536170i	0.00219993	+	0.00381039i
$199$	−3.48591	+	6.03778i	−0.247110	+	0.428007i	−0.962723	−	0.270490i	$-0.912814\pi$
$199$	−3.48591	+	6.03778i	−0.247110	+	0.428007i	0.715613	+	0.698497i	$0.246147\pi$
$200$	0.462904	−	1.72758i	0.0327323	−	0.122159i
$201$	4.43138	−	4.43138i	0.312565	−	0.312565i
$202$	2.96619	−	11.0700i	0.208701	−	0.778881i
$203$	0.767273	+	20.0600i	0.0538520	+	1.40793i
$204$	2.95631	+	5.12048i	0.206983	+	0.358505i
$205$	−5.97341	+	3.44875i	−0.417201	+	0.240871i
$206$	0.689580	+	0.689580i	0.0480453	+	0.0480453i
$207$	−4.16264	+	2.40330i	−0.289323	+	0.167041i
$208$	−6.01736	−	3.35303i	−0.417229	−	0.232491i
$209$			0.146936i			0.0101637i
$210$	−1.75806	−	2.79278i	−0.121317	−	0.192720i
$211$	3.94886	−	6.83963i	0.271851	−	0.470860i	−0.697485	−	0.716600i	$-0.745698\pi$
$211$	3.94886	−	6.83963i	0.271851	−	0.470860i	0.969336	+	0.245740i	$0.0790309\pi$
$212$		−	17.1945i		−	1.18093i
$213$	−0.273785	−	0.0733605i	−0.0187594	−	0.00502658i
$214$	−10.6736	+	2.85997i	−0.729630	+	0.195504i
$215$	−12.0615	−	12.0615i	−0.822585	−	0.822585i
$216$	−1.56335	−	1.56335i	−0.106373	−	0.106373i
$217$	−16.9434	+	5.24177i	−1.15020	+	0.355835i
$218$	−6.34808	−	3.66507i	−0.429946	−	0.248230i
$219$	4.17396	+	1.11841i	0.282050	+	0.0755751i
$220$	0.169417	+	0.293439i	0.0114221	+	0.0197836i
$221$	0.199254	+	13.0869i	0.0134033	+	0.880320i
$222$	1.60748	+	0.928081i	0.107887	+	0.0622887i
$223$	3.02363	+	11.2843i	0.202477	+	0.755654i	0.990204	+	0.139630i	$0.0445912\pi$
$223$	3.02363	+	11.2843i	0.202477	+	0.755654i	−0.787727	+	0.616025i	$0.788742\pi$
$224$	−10.0431	+	10.8420i	−0.671036	+	0.724410i
$225$	−0.700572	+	0.404476i	−0.0467048	+	0.0269650i
$226$	5.96083	−	1.59720i	0.396508	−	0.106244i
$227$	−2.69527	−	10.0589i	−0.178891	−	0.667630i	−0.995856	−	0.0909432i	$-0.971012\pi$
$227$	−2.69527	−	10.0589i	−0.178891	−	0.667630i	0.816965	−	0.576687i	$-0.195655\pi$
$228$	−0.609575	−	2.27496i	−0.0403701	−	0.150663i
$229$	−0.724734	+	0.194192i	−0.0478918	+	0.0128326i	−0.282685	−	0.959213i	$-0.591225\pi$
$229$	−0.724734	+	0.194192i	−0.0478918	+	0.0128326i	0.234794	+	0.972045i	$0.424559\pi$
$230$	5.19207	−	2.99764i	0.342355	−	0.197659i
$231$	−0.262159	−	0.0596070i	−0.0172488	−	0.00392185i
$232$	−4.34178	−	16.2037i	−0.285052	−	1.06383i
$233$	22.2901	+	12.8692i	1.46028	+	0.843091i	0.999024	−	0.0441785i	$-0.0140670\pi$
$233$	22.2901	+	12.8692i	1.46028	+	0.843091i	0.461252	+	0.887269i	$0.347400\pi$
$234$	−0.600801	−	2.11301i	−0.0392756	−	0.138132i
$235$	−2.09596	−	3.63031i	−0.136725	−	0.236815i
$236$	−3.53420	−	0.946985i	−0.230057	−	0.0616435i
$237$	−8.69014	−	5.01725i	−0.564485	−	0.325906i
$238$	5.70598	+	1.29737i	0.369864	+	0.0840959i
$239$	−8.82009	−	8.82009i	−0.570524	−	0.570524i	0.361751	−	0.932275i	$-0.382179\pi$
$239$	−8.82009	−	8.82009i	−0.570524	−	0.570524i	−0.932275	+	0.361751i	$0.882179\pi$
$240$	−2.76566	−	2.76566i	−0.178523	−	0.178523i
$241$	−28.5068	+	7.63836i	−1.83628	+	0.492030i	−0.998539	−	0.0540344i	$-0.982792\pi$
$241$	−28.5068	+	7.63836i	−1.83628	+	0.492030i	−0.837743	+	0.546065i	$0.816125\pi$
$242$	6.46755	+	1.73297i	0.415750	+	0.111400i
$243$			1.00000i			0.0641500i
$244$	4.84796	−	8.39690i	0.310359	−	0.537557i
$245$	14.0850	+	2.64080i	0.899858	+	0.168715i
$246$			2.05277i			0.130880i
$247$	1.27256	−	5.05591i	0.0809709	−	0.321700i
$248$	12.8352	−	7.41042i	0.815038	−	0.470562i
$249$	−3.74842	−	3.74842i	−0.237546	−	0.237546i
$250$	6.27481	−	3.62276i	0.396854	−	0.229124i
$251$	3.38771	+	5.86769i	0.213831	+	0.370365i	0.952910	−	0.303253i	$-0.0980726\pi$
$251$	3.38771	+	5.86769i	0.213831	+	0.370365i	−0.739080	+	0.673618i	$0.764739\pi$
$252$	4.30622	−	0.164709i	0.271266	−	0.0103757i
$253$	0.126414	−	0.471783i	0.00794757	−	0.0296607i
$254$	3.84645	−	3.84645i	0.241348	−	0.241348i
$255$	−1.92342	+	7.17828i	−0.120449	+	0.449522i
$256$	3.06310	−	5.30545i	0.191444	−	0.331590i
$257$	−6.47519	−	11.2154i	−0.403911	−	0.699595i	0.590283	−	0.807196i	$-0.299016\pi$
$257$	−6.47519	−	11.2154i	−0.403911	−	0.699595i	−0.994194	+	0.107602i	$0.965683\pi$
$258$	−4.90352	+	1.31389i	−0.305280	+	0.0817995i
$259$	−7.70028	+	2.38223i	−0.478472	+	0.148024i
$260$	−3.28810	−	11.5642i	−0.203919	−	0.717181i
$261$	−3.79375	+	6.57097i	−0.234827	+	0.406733i
$262$	−8.20380	+	8.20380i	−0.506833	+	0.506833i
$263$	−5.52376			−0.340610			−0.170305	−	0.985391i	$-0.554475\pi$
$263$	−5.52376			−0.340610			−0.170305	+	0.985391i	$0.554475\pi$
$264$	0.224664			0.0138271
$265$	15.2817	−	15.2817i	0.938748	−	0.938748i
$266$	−2.06170	−	1.08745i	−0.126411	−	0.0666759i
$267$	−7.85472	−	2.10467i	−0.480701	−	0.128803i
$268$	−2.64189	−	9.85967i	−0.161379	−	0.602275i
$269$	−10.5077	−	6.06663i	−0.640667	−	0.369889i	0.144204	−	0.989548i	$-0.453938\pi$
$269$	−10.5077	−	6.06663i	−0.640667	−	0.369889i	−0.784871	+	0.619659i	$0.787271\pi$
$270$		−	1.24730i		−	0.0759085i
$271$	0.591343	−	2.20692i	0.0359216	−	0.134061i	−0.945636	−	0.325226i	$-0.894560\pi$
$271$	0.591343	−	2.20692i	0.0359216	−	0.134061i	0.981558	+	0.191165i	$0.0612264\pi$
$272$	6.93535			0.420518
$273$	8.50440	+	4.32149i	0.514709	+	0.261548i
$274$	2.24833			0.135827
$275$	0.0212755	−	0.0794012i	0.00128296	−	0.00478807i
$276$			7.82893i			0.471246i
$277$	4.48966	+	2.59211i	0.269758	+	0.155745i	0.628777	−	0.777585i	$-0.283556\pi$
$277$	4.48966	+	2.59211i	0.269758	+	0.155745i	−0.359020	+	0.933330i	$0.616889\pi$
$278$	−0.593264	−	2.21409i	−0.0355816	−	0.132792i
$279$	−6.47506	−	1.73499i	−0.387652	−	0.103871i
$280$	−11.9665	+	0.457705i	−0.715132	+	0.0273531i
$281$	13.5499	−	13.5499i	0.808321	−	0.808321i	−0.176059	−	0.984380i	$-0.556335\pi$
$281$	13.5499	−	13.5499i	0.808321	−	0.808321i	0.984380	+	0.176059i	$0.0563348\pi$
$282$	−1.24756			−0.0742912
$283$	13.6939			0.814019			0.407009	−	0.913424i	$-0.366572\pi$
$283$	13.6939			0.814019			0.407009	+	0.913424i	$0.366572\pi$
$284$	−0.326449	+	0.326449i	−0.0193712	+	0.0193712i
$285$	1.48012	−	2.56365i	0.0876749	−	0.151857i
$286$	0.194995	+	0.108657i	0.0115303	+	0.00642500i
$287$	−6.53956	−	6.05772i	−0.386018	−	0.357576i
$288$	−5.39553	+	1.44573i	−0.317935	+	0.0851904i
$289$	1.91128	+	3.31044i	0.112428	+	0.194732i
$290$	4.73196	−	8.19599i	0.277870	−	0.481285i
$291$	4.43983	−	16.5697i	0.260267	−	0.971331i
$292$	4.97684	−	4.97684i	0.291248	−	0.291248i
$293$	5.35275	−	19.9768i	0.312711	−	1.16705i	−0.613390	−	0.789780i	$-0.710195\pi$
$293$	5.35275	−	19.9768i	0.312711	−	1.16705i	0.926102	−	0.377274i	$-0.123139\pi$
$294$	2.77657	−	3.23729i	0.161933	−	0.188803i
$295$	−2.29940	−	3.98267i	−0.133876	−	0.231880i
$296$	5.83322	−	3.36781i	0.339049	−	0.195750i
$297$	−0.0718531	−	0.0718531i	−0.00416934	−	0.00416934i
$298$	−8.05371	+	4.64981i	−0.466539	+	0.269356i
$299$	−8.43573	+	15.1388i	−0.487851	+	0.875498i
$300$			1.31761i			0.0760723i
$301$	10.2846	−	19.4985i	0.592793	−	1.12388i
$302$	3.87629	−	6.71393i	0.223055	−	0.386343i
$303$			18.8102i			1.08062i
$304$	−2.66848	−	0.715016i	−0.153048	−	0.0410090i
$305$	11.7714	−	3.15414i	0.674030	−	0.180606i
$306$	1.56391	+	1.56391i	0.0894027	+	0.0894027i
$307$	−12.7621	−	12.7621i	−0.728370	−	0.728370i	0.241925	−	0.970295i	$-0.422221\pi$
$307$	−12.7621	−	12.7621i	−0.728370	−	0.728370i	−0.970295	+	0.241925i	$0.922221\pi$
$308$	−0.297580	+	0.321250i	−0.0169562	+	0.0183049i
$309$	−1.38618	−	0.800311i	−0.0788569	−	0.0455281i
$310$	8.07637	+	2.16406i	0.458707	+	0.122910i
$311$	3.99213	+	6.91458i	0.226373	+	0.392090i	0.956731	−	0.290975i	$-0.0939798\pi$
$311$	3.99213	+	6.91458i	0.226373	+	0.392090i	−0.730357	+	0.683065i	$0.760646\pi$
$312$	−7.73047	−	1.94574i	−0.437652	−	0.110156i
$313$	−16.6125	−	9.59123i	−0.938994	−	0.542129i	−0.0493493	−	0.998782i	$-0.515715\pi$
$313$	−16.6125	−	9.59123i	−0.938994	−	0.542129i	−0.889645	+	0.456653i	$0.849048\pi$
$314$	−2.79538	−	10.4325i	−0.157752	−	0.588740i
$315$	3.97356	+	3.68079i	0.223885	+	0.207389i
$316$	−14.1544	+	8.17204i	−0.796247	+	0.459713i
$317$	−25.6370	+	6.86941i	−1.43992	+	0.385824i	−0.892504	−	0.451039i	$-0.851053\pi$
$317$	−25.6370	+	6.86941i	−1.43992	+	0.385824i	−0.547412	+	0.836864i	$0.684387\pi$
$318$	−1.66469	−	6.21270i	−0.0933511	−	0.348391i
$319$	−0.199552	−	0.744737i	−0.0111728	−	0.0416973i
$320$	−0.826067	+	0.221344i	−0.0461785	+	0.0123735i
$321$	15.7067	−	9.06827i	0.876663	−	0.506142i
$322$	5.68417	+	5.26536i	0.316766	+	0.293427i
$323$	1.35856	+	5.07021i	0.0755922	+	0.282114i
$324$	1.41057	+	0.814394i	0.0783651	+	0.0452441i
$325$	−1.41973	+	2.54786i	−0.0787527	+	0.141330i
$326$	7.26659	+	12.5861i	0.402459	+	0.697079i
$327$	11.6210	+	3.11385i	0.642645	+	0.172196i
$328$	6.45110	+	3.72454i	0.356202	+	0.205653i
$329$	3.68155	−	3.97438i	0.202970	−	0.219115i
$330$	0.0896227	+	0.0896227i	0.00493357	+	0.00493357i
$331$	23.9253	+	23.9253i	1.31505	+	1.31505i	0.917640	+	0.397412i	$0.130092\pi$
$331$	23.9253	+	23.9253i	1.31505	+	1.31505i	0.397412	+	0.917640i	$0.369908\pi$
$332$	−8.34010	+	2.23472i	−0.457723	+	0.122646i
$333$	−2.94272	−	0.788499i	−0.161260	−	0.0432095i
$334$			4.29687i			0.235114i
$335$	6.41483	−	11.1108i	0.350480	−	0.607049i
$336$	2.35823	−	4.47097i	0.128652	−	0.243911i
$337$			4.82368i			0.262763i	0.991332	+	0.131381i	$0.0419412\pi$
$337$			4.82368i			0.262763i	−0.991332	+	0.131381i	$0.958059\pi$
$338$	−5.76857	−	5.42756i	−0.313769	−	0.295220i
$339$	−8.77167	+	5.06433i	−0.476412	+	0.275057i
$340$	8.55907	+	8.55907i	0.464181	+	0.464181i
$341$	0.589918	−	0.340589i	0.0319458	−	0.0184439i
$342$	−0.440501	−	0.762971i	−0.0238196	−	0.0412567i
$343$	2.11945	+	18.3986i	0.114440	+	0.993430i
$344$	−4.76785	+	17.7938i	−0.257065	+	0.959380i
$345$	−6.95800	+	6.95800i	−0.374606	+	0.374606i
$346$	−3.52124	+	13.1415i	−0.189303	+	0.706489i
$347$	−15.0265	+	26.0266i	−0.806664	+	1.39718i	0.108498	+	0.994097i	$0.465396\pi$
$347$	−15.0265	+	26.0266i	−0.806664	+	1.39718i	−0.915162	+	0.403086i	$0.867937\pi$
$348$	6.17921	+	10.7027i	0.331241	+	0.573726i
$349$	−29.5463	+	7.91691i	−1.58158	+	0.423782i	−0.939414	−	0.342785i	$-0.888630\pi$
$349$	−29.5463	+	7.91691i	−1.58158	+	0.423782i	−0.642164	+	0.766567i	$0.721963\pi$
$350$	0.956647	+	0.886161i	0.0511349	+	0.0473673i
$351$	1.85010	+	3.09469i	0.0987512	+	0.165182i
$352$	0.283806	−	0.491566i	0.0151269	−	0.0262005i
$353$	22.0855	−	22.0855i	1.17549	−	1.17549i	0.194610	−	0.980881i	$-0.437656\pi$
$353$	22.0855	−	22.0855i	1.17549	−	1.17549i	0.980881	−	0.194610i	$-0.0623443\pi$
$354$	−1.36865			−0.0727431
$355$	−0.580266			−0.0307973
$356$	−9.36562	+	9.36562i	−0.496377	+	0.496377i
$357$	−9.59726	+	0.367085i	−0.507941	+	0.0194282i
$358$	5.75687	+	1.54255i	0.304260	+	0.0815262i
$359$	−3.44908	−	12.8721i	−0.182035	−	0.679366i	−0.995246	−	0.0973957i	$-0.968949\pi$
$359$	−3.44908	−	12.8721i	−0.182035	−	0.679366i	0.813210	−	0.581970i	$-0.197718\pi$
$360$	−3.91981	−	2.26310i	−0.206592	−	0.119276i
$361$			16.9091i			0.889953i
$362$	2.23833	−	8.35356i	0.117644	−	0.439053i
$363$	−10.9897			−0.576808
$364$	13.0217	−	8.47667i	0.682522	−	0.444298i
$365$	8.84639			0.463041
$366$	0.938710	−	3.50331i	0.0490671	−	0.183121i
$367$			23.1786i			1.20991i	0.796258	+	0.604957i	$0.206810\pi$
$367$			23.1786i			1.20991i	−0.796258	+	0.604957i	$0.793190\pi$
$368$	7.95283	+	4.59157i	0.414570	+	0.239352i
$369$	−0.872020	−	3.25442i	−0.0453956	−	0.169419i
$370$	3.67047	+	0.983498i	0.190818	+	0.0511296i
$371$	24.7044	+	13.0304i	1.28259	+	0.676506i
$372$	−7.72058	+	7.72058i	−0.400293	+	0.400293i
$373$	1.44851			0.0750009			0.0375004	−	0.999297i	$-0.488060\pi$
$373$	1.44851			0.0750009			0.0375004	+	0.999297i	$0.488060\pi$
$374$	−0.224743			−0.0116212
$375$	−8.40900	+	8.40900i	−0.434239	+	0.434239i
$376$	−2.26357	+	3.92062i	−0.116735	+	0.202190i
$377$	0.416476	+	27.3539i	0.0214496	+	1.40880i
$378$	1.53997	−	0.476419i	0.0792075	−	0.0245043i
$379$	−2.31805	+	0.621121i	−0.119070	+	0.0319048i	−0.317862	−	0.948137i	$-0.602965\pi$
$379$	−2.31805	+	0.621121i	−0.119070	+	0.0319048i	0.198792	+	0.980042i	$0.436298\pi$
$380$	−2.41081	−	4.17564i	−0.123672	−	0.214206i
$381$	−4.46410	+	7.73205i	−0.228703	+	0.396125i
$382$	−0.735934	+	2.74654i	−0.0376537	+	0.140525i
$383$	20.4489	−	20.4489i	1.04489	−	1.04489i	0.0459467	−	0.998944i	$-0.485370\pi$
$383$	20.4489	−	20.4489i	1.04489	−	1.04489i	0.998944	−	0.0459467i	$-0.0146304\pi$
$384$	−2.95733	+	11.0369i	−0.150916	+	0.563225i
$385$	−0.549988	+	0.0210365i	−0.0280300	+	0.00107212i
$386$	−1.60221	−	2.77510i	−0.0815501	−	0.141249i
$387$	7.21579	−	4.16604i	0.366799	−	0.211772i
$388$	−19.7569	−	19.7569i	−1.00301	−	1.00301i
$389$	26.2815	−	15.1736i	1.33252	−	0.769332i	0.346837	−	0.937925i	$-0.387256\pi$
$389$	26.2815	−	15.1736i	1.33252	−	0.769332i	0.985686	+	0.168593i	$0.0539223\pi$
$390$	−2.30764	−	3.86002i	−0.116852	−	0.195460i
$391$		−	17.4483i		−	0.882399i
$392$	−5.13579	−	14.5994i	−0.259397	−	0.737383i
$393$	9.52114	−	16.4911i	0.480278	−	0.831866i
$394$			6.96226i			0.350753i
$395$	−19.8427	−	5.31684i	−0.998396	−	0.267519i
$396$	−0.159871	+	0.0428372i	−0.00803381	+	0.00215265i
$397$	12.1657	+	12.1657i	0.610580	+	0.610580i	0.943097	−	0.332517i	$-0.107898\pi$
$397$	12.1657	+	12.1657i	0.610580	+	0.610580i	−0.332517	+	0.943097i	$0.607898\pi$
$398$	3.00360	+	3.00360i	0.150557	+	0.150557i
$399$	3.73053	+	0.848209i	0.186760	+	0.0424636i
$400$	1.33846	+	0.772762i	0.0669231	+	0.0386381i
$401$	14.5542	+	3.89979i	0.726802	+	0.194746i	0.603205	−	0.797586i	$-0.293890\pi$
$401$	14.5542	+	3.89979i	0.726802	+	0.194746i	0.123597	+	0.992332i	$0.460557\pi$
$402$	−1.90913	−	3.30670i	−0.0952186	−	0.164923i
$403$	−23.2482	+	6.61028i	−1.15808	+	0.329281i
$404$	26.5331	+	15.3189i	1.32007	+	0.762143i
$405$	0.529856	+	1.97745i	0.0263287	+	0.0982602i
$406$	11.9265	+	2.71173i	0.591903	+	0.134581i
$407$	0.268100	−	0.154787i	0.0132892	−	0.00767253i
$408$	7.75232	−	2.07723i	0.383797	−	0.102838i
$409$	−4.65848	−	17.3857i	−0.230347	−	0.859667i	−0.980191	−	0.198053i	$-0.936538\pi$
$409$	−4.65848	−	17.3857i	−0.230347	−	0.859667i	0.749844	−	0.661614i	$-0.230128\pi$
$410$	1.08767	+	4.05926i	0.0537164	+	0.200472i
$411$	−3.56445	+	0.955092i	−0.175821	+	0.0471112i
$412$	−2.25779	+	1.30354i	−0.111233	+	0.0642206i
$413$	4.03889	−	4.36014i	0.198741	−	0.214548i
$414$	0.757958	+	2.82874i	0.0372516	+	0.139025i
$415$	−9.39842	−	5.42618i	−0.461351	−	0.266361i
$416$	−14.0228	+	14.4564i	−0.687523	+	0.708782i
$417$	1.88110	+	3.25815i	0.0921176	+	0.159552i
$418$	0.0864732	+	0.0231704i	0.00422954	+	0.00113330i
$419$	−13.0716	−	7.54692i	−0.638592	−	0.368691i	0.145480	−	0.989361i	$-0.453527\pi$
$419$	−13.0716	−	7.54692i	−0.638592	−	0.368691i	−0.784072	+	0.620670i	$0.786861\pi$
$420$	8.42805	−	2.60738i	0.411247	−	0.127227i
$421$	−13.2298	−	13.2298i	−0.644780	−	0.644780i	0.306947	−	0.951727i	$-0.400693\pi$
$421$	−13.2298	−	13.2298i	−0.644780	−	0.644780i	−0.951727	+	0.306947i	$0.900693\pi$
$422$	−3.40250	−	3.40250i	−0.165631	−	0.165631i
$423$	1.97786	−	0.529965i	0.0961667	−	0.0257678i
$424$	−22.5446	−	6.04080i	−1.09486	−	0.293367i
$425$		−	2.93655i		−	0.142444i
$426$	−0.0863470	+	0.149557i	−0.00418352	+	0.00724608i
$427$	8.39043	+	13.3287i	0.406041	+	0.645022i
$428$		−	29.5406i		−	1.42790i
$429$	−0.355299	−	0.0894276i	−0.0171540	−	0.00431761i
$430$	−9.00029	+	5.19632i	−0.434032	+	0.250589i
$431$	28.7606	+	28.7606i	1.38535	+	1.38535i	0.834812	+	0.550535i	$0.185576\pi$
$431$	28.7606	+	28.7606i	1.38535	+	1.38535i	0.550535	+	0.834812i	$0.314424\pi$
$432$	1.65456	−	0.955263i	0.0796053	−	0.0459601i
$433$	1.94157	+	3.36289i	0.0933058	+	0.161610i	0.908900	−	0.417014i	$-0.136923\pi$
$433$	1.94157	+	3.36289i	0.0933058	+	0.161610i	−0.815594	+	0.578624i	$0.803590\pi$
$434$	0.413012	+	10.7980i	0.0198252	+	0.518320i
$435$	−4.02028	+	15.0039i	−0.192758	+	0.719381i
$436$	13.8564	−	13.8564i	0.663601	−	0.663601i
$437$	−1.79887	+	6.71348i	−0.0860517	+	0.321149i
$438$	1.31639	−	2.28006i	0.0628997	−	0.108945i
$439$	−11.6800	−	20.2304i	−0.557457	−	0.965544i	−0.997708	−	0.0676693i	$-0.978444\pi$
$439$	−11.6800	−	20.2304i	−0.557457	−	0.965544i	0.440251	−	0.897875i	$-0.354890\pi$
$440$	0.444261	−	0.119039i	0.0211793	−	0.00567498i
$441$	−3.02671	+	6.31182i	−0.144129	+	0.300563i
$442$	7.73321	+	1.94642i	0.367831	+	0.0925820i
$443$	−7.62370	+	13.2046i	−0.362213	+	0.627371i	−0.988325	−	0.152362i	$-0.951312\pi$
$443$	−7.62370	+	13.2046i	−0.362213	+	0.627371i	0.626112	+	0.779733i	$0.284645\pi$
$444$	−3.50877	+	3.50877i	−0.166519	+	0.166519i
$445$	−16.6475			−0.789166
$446$	7.11775			0.337035
$447$	10.7929	−	10.7929i	0.510488	−	0.510488i
$448$	−0.588803	−	0.935350i	−0.0278184	−	0.0441911i
$449$	22.2529	+	5.96266i	1.05018	+	0.281395i	0.742327	−	0.670038i	$-0.233722\pi$
$449$	22.2529	+	5.96266i	1.05018	+	0.281395i	0.307855	+	0.951433i	$0.400389\pi$
$450$	0.127564	+	0.476077i	0.00601345	+	0.0224425i
$451$	0.296498	+	0.171183i	0.0139615	+	0.00806070i
$452$			16.4974i			0.775974i
$453$	−3.29330	+	12.2908i	−0.154733	+	0.577471i
$454$	−6.34478			−0.297775
$455$	19.1068	+	4.03941i	0.895739	+	0.189371i
$456$	−3.19697			−0.149712
$457$	−1.04906	+	3.91513i	−0.0490728	+	0.183142i	−0.986112	−	0.166082i	$-0.946888\pi$
$457$	−1.04906	+	3.91513i	−0.0490728	+	0.183142i	0.937039	+	0.349224i	$0.113555\pi$
$458$			0.457136i			0.0213606i
$459$	−3.14374	−	1.81504i	−0.146737	−	0.0847187i
$460$	4.14820	+	15.4813i	0.193411	+	0.721819i
$461$	14.2239	+	3.81128i	0.662473	+	0.177509i	0.574362	−	0.818601i	$-0.305250\pi$
$461$	14.2239	+	3.81128i	0.662473	+	0.177509i	0.0881113	+	0.996111i	$0.471917\pi$
$462$	−0.0764195	+	0.144884i	−0.00355536	+	0.00674061i
$463$	3.88913	−	3.88913i	0.180743	−	0.180743i	−0.610936	−	0.791680i	$-0.709207\pi$
$463$	3.88913	−	3.88913i	0.180743	−	0.180743i	0.791680	+	0.610936i	$0.209207\pi$
$464$	14.4961			0.672965
$465$	−13.7234			−0.636407
$466$	11.0886	−	11.0886i	0.513671	−	0.513671i
$467$	−2.18755	+	3.78894i	−0.101228	+	0.175331i	−0.912191	−	0.409766i	$-0.865610\pi$
$467$	−2.18755	+	3.78894i	−0.101228	+	0.175331i	0.810963	+	0.585097i	$0.198944\pi$
$468$	5.87200	−	0.0894038i	0.271433	−	0.00413269i
$469$	16.1680	+	3.67613i	0.746571	+	0.169748i
$470$	−2.46699	+	0.661028i	−0.113794	+	0.0304909i
$471$	8.86346	+	15.3520i	0.408407	+	0.707381i
$472$	−2.48328	+	4.30116i	−0.114302	+	0.197977i
$473$	−0.219134	+	0.817820i	−0.0100758	+	0.0376034i
$474$	−4.32307	+	4.32307i	−0.198565	+	0.198565i
$475$	−0.302751	+	1.12988i	−0.0138912	+	0.0518425i
$476$	−7.29815	+	13.8366i	−0.334510	+	0.634198i
$477$	5.27832	+	9.14232i	0.241678	+	0.418598i
$478$	−6.58157	+	3.79987i	−0.301034	+	0.173802i
$479$	−22.3863	−	22.3863i	−1.02285	−	1.02285i	−0.999733	−	0.0231215i	$-0.992640\pi$
$479$	−22.3863	−	22.3863i	−1.02285	−	1.02285i	−0.0231215	−	0.999733i	$-0.507360\pi$
$480$	−9.90336	+	5.71771i	−0.452024	+	0.260976i
$481$	−10.5656	+	3.00417i	−0.481751	+	0.136978i
$482$			17.9811i			0.819015i
$483$	−11.2483	−	5.93295i	−0.511815	−	0.269958i
$484$	−8.94993	+	15.5017i	−0.406815	+	0.704624i
$485$		−	35.1181i		−	1.59463i
$486$	0.588511	+	0.157691i	0.0266954	+	0.00715301i
$487$	30.6809	−	8.22091i	1.39028	−	0.372525i	0.515437	−	0.856927i	$-0.327629\pi$
$487$	30.6809	−	8.22091i	1.39028	−	0.372525i	0.874846	+	0.484402i	$0.160963\pi$
$488$	−9.30640	−	9.30640i	−0.421281	−	0.421281i
$489$	−16.8669	−	16.8669i	−0.762746	−	0.762746i
$490$	3.77522	−	7.87276i	0.170547	−	0.355655i
$491$	3.19371	+	1.84389i	0.144130	+	0.0832136i	0.570331	−	0.821415i	$-0.306815\pi$
$491$	3.19371	+	1.84389i	0.144130	+	0.0832136i	−0.426201	+	0.904629i	$0.640148\pi$
$492$	−5.30077	−	1.42034i	−0.238977	−	0.0640337i
$493$	−13.7716	−	23.8531i	−0.620241	−	1.07429i
$494$	−2.77479	−	1.54619i	−0.124844	−	0.0695662i
$495$	−0.180158	−	0.104014i	−0.00809748	−	0.00467508i
$496$	3.31474	+	12.3708i	0.148836	+	0.555464i
$497$	−0.221638	−	0.716420i	−0.00994182	−	0.0321358i
$498$	−2.79708	+	1.61489i	−0.125340	+	0.0723651i
$499$	28.4258	−	7.61668i	1.27252	−	0.340969i	0.441521	−	0.897251i	$-0.354439\pi$
$499$	28.4258	−	7.61668i	1.27252	−	0.340969i	0.830994	+	0.556281i	$0.187772\pi$
$500$	5.01326	+	18.7097i	0.224200	+	0.836724i
$501$	−1.82532	−	6.81217i	−0.0815491	−	0.304345i
$502$	3.98741	−	1.06842i	0.177967	−	0.0476861i
$503$	12.1149	−	6.99455i	0.540178	−	0.311872i	−0.204973	−	0.978768i	$-0.565711\pi$
$503$	12.1149	−	6.99455i	0.540178	−	0.311872i	0.745151	+	0.666896i	$0.232377\pi$
$504$	1.29691	−	5.70396i	0.0577689	−	0.254074i
$505$	9.96667	+	37.1961i	0.443511	+	1.65520i
$506$	−0.257715	−	0.148792i	−0.0114568	−	0.00661461i
$507$	11.4510	+	6.15424i	0.508557	+	0.273319i
$508$	7.27107	+	12.5939i	0.322602	+	0.558763i
$509$	−36.3623	−	9.74324i	−1.61173	−	0.431862i	−0.663172	−	0.748467i	$-0.730790\pi$
$509$	−36.3623	−	9.74324i	−1.61173	−	0.431862i	−0.948557	+	0.316606i	$0.897457\pi$
$510$	3.92119	+	2.26390i	0.173633	+	0.100247i
$511$	3.37896	+	10.9221i	0.149476	+	0.483165i
$512$	13.5199	+	13.5199i	0.597499	+	0.597499i
$513$	1.02247	+	1.02247i	0.0451432	+	0.0451432i
$514$	−7.62144	+	2.04216i	−0.336167	+	0.0900758i
$515$	−3.16515	−	0.848098i	−0.139473	−	0.0373717i
$516$		−	13.5712i		−	0.597438i
$517$	−0.104036	+	0.180195i	−0.00457548	+	0.00792496i
$518$	0.187701	+	4.90736i	0.00824713	+	0.215617i
$519$		−	22.3300i		−	0.980178i
$520$	−16.3176	+	0.248442i	−0.715572	+	0.0108949i
$521$	−6.79737	+	3.92446i	−0.297798	+	0.171934i	−0.641453	−	0.767162i	$-0.721668\pi$
$521$	−6.79737	+	3.92446i	−0.297798	+	0.171934i	0.343655	+	0.939096i	$0.388335\pi$
$522$	3.26885	+	3.26885i	0.143074	+	0.143074i
$523$	11.4681	−	6.62113i	0.501466	−	0.289522i	−0.227853	−	0.973696i	$-0.573170\pi$
$523$	11.4681	−	6.62113i	0.501466	−	0.289522i	0.729319	+	0.684174i	$0.239837\pi$
$524$	−15.5079	−	26.8605i	−0.677467	−	1.17341i
$525$	−1.89309	−	0.998516i	−0.0826211	−	0.0435788i
$526$	−0.871048	+	3.25079i	−0.0379795	+	0.141741i
$527$	17.2068	−	17.2068i	0.749541	−	0.749541i
$528$	−0.0502470	+	0.187524i	−0.00218672	+	0.00816095i
$529$	0.0516925	−	0.0895340i	0.00224750	−	0.00389278i
$530$	−6.58367	−	11.4033i	−0.285976	−	0.495326i
$531$	2.16983	−	0.581405i	0.0941627	−	0.0252308i
$532$	4.23458	−	4.57140i	0.183592	−	0.198195i
$533$	−8.71965	−	8.45811i	−0.377690	−	0.366362i
$534$	−2.47724	+	4.29070i	−0.107201	+	0.185677i
$535$	26.2543	−	26.2543i	1.13507	−	1.13507i
$536$	−13.8556			−0.598472
$537$	−9.78209			−0.422128
$538$	−5.22726	+	5.22726i	−0.225363	+	0.225363i
$539$	−0.236045	−	0.671002i	−0.0101672	−	0.0289021i
$540$	3.22084	+	0.863023i	0.138603	+	0.0371386i
$541$	−6.33296	−	23.6349i	−0.272275	−	1.01614i	−0.957645	−	0.287950i	$-0.907026\pi$
$541$	−6.33296	−	23.6349i	−0.272275	−	1.01614i	0.685370	−	0.728195i	$-0.259640\pi$
$542$	−1.20555	−	0.696024i	−0.0517828	−	0.0298968i
$543$			14.1944i			0.609139i
$544$	5.24810	−	19.5862i	0.225010	−	0.839750i
$545$	24.6299			1.05503
$546$	3.88431	−	4.32347i	0.166233	−	0.185028i
$547$	−39.7857			−1.70111			−0.850557	−	0.525883i	$-0.823735\pi$
$547$	−39.7857			−1.70111			−0.850557	+	0.525883i	$0.823735\pi$
$548$	−1.55564	+	5.80573i	−0.0664537	+	0.248009i
$549$			5.95284i			0.254061i
$550$	−0.0433735	−	0.0250417i	−0.00184945	−	0.00106778i
$551$	2.83963	+	10.5976i	0.120972	+	0.451474i
$552$	10.2649	+	2.75047i	0.436903	+	0.117068i
$553$	−1.01472	−	26.5294i	−0.0431504	−	1.12815i
$554$	2.23346	−	2.23346i	0.0948908	−	0.0948908i
$555$	−6.23687			−0.264740
$556$	6.12781			0.259877
$557$	0.278260	−	0.278260i	0.0117903	−	0.0117903i	−0.701187	−	0.712977i	$-0.747346\pi$
$557$	0.278260	−	0.278260i	0.0117903	−	0.0117903i	0.712977	+	0.701187i	$0.247346\pi$
$558$	−2.04212	+	3.53706i	−0.0864498	+	0.149735i
$559$	14.6231	−	26.2426i	0.618489	−	1.10994i
$560$	2.29431	−	10.0906i	0.0969521	−	0.426407i
$561$	0.356303	−	0.0954712i	0.0150431	−	0.00403080i
$562$	−5.83758	−	10.1110i	−0.246244	−	0.426506i
$563$	13.8886	−	24.0558i	0.585335	−	1.01383i	−0.409499	−	0.912311i	$-0.634296\pi$
$563$	13.8886	−	24.0558i	0.585335	−	1.01383i	0.994834	−	0.101519i	$-0.0323702\pi$
$564$	0.863201	−	3.22151i	0.0363473	−	0.135650i
$565$	−14.6622	+	14.6622i	−0.616842	+	0.616842i
$566$	2.15941	−	8.05902i	0.0907667	−	0.338746i
$567$	−2.23905	+	1.40948i	−0.0940313	+	0.0591928i
$568$	0.313335	+	0.542712i	0.0131472	+	0.0227717i
$569$	−0.496404	+	0.286599i	−0.0208104	+	0.0120149i	−0.510369	−	0.859955i	$-0.670491\pi$
$569$	−0.496404	+	0.286599i	−0.0208104	+	0.0120149i	0.489559	+	0.871970i	$0.337158\pi$
$570$	−1.27533	−	1.27533i	−0.0534178	−	0.0534178i
$571$	−26.2481	+	15.1543i	−1.09845	+	0.634189i	−0.935813	−	0.352497i	$-0.885333\pi$
$571$	−26.2481	+	15.1543i	−1.09845	+	0.634189i	−0.162635	+	0.986686i	$0.551999\pi$
$572$	−0.415497	+	0.428345i	−0.0173728	+	0.0179100i
$573$		−	4.66693i		−	0.194964i
$574$	−4.59627	+	2.89335i	−0.191845	+	0.120766i
$575$	1.94415	−	3.36737i	0.0810768	−	0.140429i
$576$		−	0.417744i		−	0.0174060i
$577$	−37.8193	−	10.1337i	−1.57444	−	0.421870i	−0.637240	−	0.770665i	$-0.719924\pi$
$577$	−37.8193	−	10.1337i	−1.57444	−	0.421870i	−0.937199	+	0.348795i	$0.886591\pi$
$578$	2.24962	−	0.602784i	0.0935719	−	0.0250725i
$579$	3.71897	+	3.71897i	0.154555	+	0.154555i
$580$	17.8900	+	17.8900i	0.742841	+	0.742841i
$581$	3.10957	−	13.6762i	0.129007	−	0.567386i
$582$	−9.05131	−	5.22578i	−0.375189	−	0.216615i
$583$	−1.03617	−	0.277640i	−0.0429137	−	0.0114987i
$584$	−4.77691	−	8.27385i	−0.197670	−	0.342374i
$585$	5.29822	+	5.13931i	0.219055	+	0.212484i
$586$	−10.9125	−	6.30031i	−0.450790	−	0.260264i
$587$	−4.30312	−	16.0595i	−0.177609	−	0.662845i	−0.996093	−	0.0883156i	$-0.971852\pi$
$587$	−4.30312	−	16.0595i	−0.177609	−	0.662845i	0.818484	−	0.574530i	$-0.194815\pi$
$588$	6.43834	+	9.40969i	0.265513	+	0.388049i
$589$	−8.39455	+	4.84659i	−0.345891	+	0.199700i
$590$	−2.70644	+	0.725188i	−0.111422	+	0.0298555i
$591$	−2.95757	−	11.0378i	−0.121658	−	0.454035i
$592$	1.50645	+	5.62214i	0.0619147	+	0.231069i
$593$	−7.22043	+	1.93471i	−0.296507	+	0.0794489i	−0.404006	−	0.914756i	$-0.632383\pi$
$593$	−7.22043	+	1.93471i	−0.296507	+	0.0794489i	0.107499	+	0.994205i	$0.465716\pi$
$594$	−0.0536170	+	0.0309558i	−0.00219993	+	0.00127013i
$595$	−18.7836	+	5.81105i	−0.770051	+	0.238230i
$596$	−6.43450	−	24.0139i	−0.263568	−	0.983647i
$597$	−6.03778	−	3.48591i	−0.247110	−	0.142669i
$598$	7.57910	+	7.35177i	0.309932	+	0.300636i
$599$	2.38287	+	4.12725i	0.0973613	+	0.168635i	0.910592	−	0.413307i	$-0.135626\pi$
$599$	2.38287	+	4.12725i	0.0973613	+	0.168635i	−0.813230	+	0.581942i	$0.802293\pi$
$600$	1.72758	+	0.462904i	0.0705283	+	0.0188980i
$601$	15.7639	+	9.10131i	0.643024	+	0.371250i	0.785778	−	0.618508i	$-0.212263\pi$
$601$	15.7639	+	9.10131i	0.643024	+	0.371250i	−0.142754	+	0.989758i	$0.545596\pi$
$602$	−9.85332	−	9.12733i	−0.401591	−	0.372002i
$603$	4.43138	+	4.43138i	0.180460	+	0.180460i
$604$	14.6550	+	14.6550i	0.596302	+	0.596302i
$605$	−21.7315	+	5.82294i	−0.883512	+	0.236736i
$606$	11.0700	+	2.96619i	0.449687	+	0.120493i
$607$		−	29.0316i		−	1.17835i	−0.808004	−	0.589177i	$-0.799452\pi$
$607$		−	29.0316i		−	1.17835i	0.808004	−	0.589177i	$-0.200548\pi$
$608$	−4.03856	+	6.99499i	−0.163785	+	0.283685i
$609$	−20.0600	+	0.767273i	−0.812871	+	0.0310915i
$610$		−	7.42500i		−	0.300629i
$611$	5.14037	−	5.29932i	0.207957	−	0.214387i
$612$	−5.12048	+	2.95631i	−0.206983	+	0.119502i
$613$	8.03416	+	8.03416i	0.324496	+	0.324496i	0.850489	−	0.525993i	$-0.176306\pi$
$613$	8.03416	+	8.03416i	0.324496	+	0.324496i	−0.525993	+	0.850489i	$0.676306\pi$
$614$	−9.52309	+	5.49816i	−0.384321	+	0.221888i
$615$	−3.44875	−	5.97341i	−0.139067	−	0.240871i
$616$	0.316660	+	0.503034i	0.0127586	+	0.0202678i
$617$	−5.32917	+	19.8887i	−0.214544	+	0.800690i	0.771782	+	0.635887i	$0.219365\pi$
$617$	−5.32917	+	19.8887i	−0.214544	+	0.800690i	−0.986327	+	0.164803i	$0.947301\pi$
$618$	−0.689580	+	0.689580i	−0.0277390	+	0.0277390i
$619$	−0.0532082	+	0.198576i	−0.00213862	+	0.00798143i	−0.966987	−	0.254826i	$-0.917982\pi$
$619$	−0.0532082	+	0.198576i	−0.00213862	+	0.00798143i	0.964848	+	0.262808i	$0.0846484\pi$
$620$	−11.1763	+	19.3578i	−0.448849	+	0.777429i
$621$	−2.40330	−	4.16264i	−0.0964411	−	0.167041i
$622$	4.69883	−	1.25905i	0.188406	−	0.0504832i
$623$	−6.35865	−	20.5536i	−0.254754	−	0.823463i
$624$	3.35303	−	6.01736i	0.134229	−	0.240887i
$625$	−10.1504	+	17.5810i	−0.406017	+	0.703242i
$626$	−8.26419	+	8.26419i	−0.330304	+	0.330304i
$627$	−0.146936			−0.00586804
$628$	28.8734			1.15217
$629$	7.81998	−	7.81998i	0.311803	−	0.311803i
$630$	2.79278	−	1.75806i	0.111267	−	0.0700426i
$631$	28.5113	+	7.63958i	1.13502	+	0.304127i	0.776946	−	0.629568i	$-0.216768\pi$
$631$	28.5113	+	7.63958i	1.13502	+	0.304127i	0.358071	+	0.933694i	$0.383435\pi$
$632$	5.74202	+	21.4295i	0.228405	+	0.852421i
$633$	6.83963	+	3.94886i	0.271851	+	0.156953i
$634$			16.1709i			0.642228i
$635$	−4.73066	+	17.6551i	−0.187730	+	0.700619i
$636$	17.1945			0.681808
$637$	2.31078	+	25.1329i	0.0915566	+	0.995800i
$638$	−0.469754			−0.0185977
$639$	0.0733605	−	0.273785i	0.00290210	−	0.0108308i
$640$			23.3919i			0.924645i
$641$	−40.9695	−	23.6537i	−1.61820	−	0.934267i	−0.987386	−	0.158330i	$-0.949389\pi$
$641$	−40.9695	−	23.6537i	−1.61820	−	0.934267i	−0.630811	−	0.775936i	$-0.717278\pi$
$642$	−2.85997	−	10.6736i	−0.112874	−	0.421252i
$643$	−19.6736	−	5.27154i	−0.775853	−	0.207889i	−0.150897	−	0.988549i	$-0.548216\pi$
$643$	−19.6736	−	5.27154i	−0.775853	−	0.207889i	−0.624955	+	0.780660i	$0.714883\pi$
$644$	−17.5294	+	11.0348i	−0.690754	+	0.434830i
$645$	12.0615	−	12.0615i	0.474919	−	0.474919i
$646$	3.19811			0.125828
$647$	−3.13667			−0.123315			−0.0616576	−	0.998097i	$-0.519639\pi$
$647$	−3.13667			−0.123315			−0.0616576	+	0.998097i	$0.519639\pi$
$648$	1.56335	−	1.56335i	0.0614144	−	0.0614144i
$649$	−0.114133	+	0.197685i	−0.00448013	+	0.00775981i
$650$	1.27556	+	1.23730i	0.0500317	+	0.0485311i
$651$	−5.24177	−	16.9434i	−0.205441	−	0.664066i
$652$	−37.5282	+	10.0557i	−1.46972	+	0.393810i
$653$	2.09234	+	3.62404i	0.0818795	+	0.141819i	0.904057	−	0.427411i	$-0.140574\pi$
$653$	2.09234	+	3.62404i	0.0818795	+	0.141819i	−0.822178	+	0.569231i	$0.807241\pi$
$654$	3.66507	−	6.34808i	0.143315	−	0.248230i
$655$	10.0897	−	37.6551i	0.394236	−	1.47131i
$656$	−4.55164	+	4.55164i	−0.177712	+	0.177712i
$657$	−1.11841	+	4.17396i	−0.0436333	+	0.162842i
$658$	−1.75842	−	2.79336i	−0.0685503	−	0.108896i
$659$	−8.69927	−	15.0676i	−0.338875	−	0.586949i	0.645346	−	0.763890i	$-0.276713\pi$
$659$	−8.69927	−	15.0676i	−0.338875	−	0.586949i	−0.984221	+	0.176941i	$0.943380\pi$
$660$	−0.293439	+	0.169417i	−0.0114221	+	0.00659454i
$661$	21.0078	+	21.0078i	0.817108	+	0.817108i	0.985688	−	0.168580i	$-0.0539182\pi$
$661$	21.0078	+	21.0078i	0.817108	+	0.817108i	−0.168580	+	0.985688i	$0.553918\pi$
$662$	17.8531	−	10.3075i	0.693880	−	0.400612i
$663$	−13.0869	+	0.199254i	−0.508253	+	0.00773838i
$664$			11.7202i			0.454833i
$665$	7.82635	−	0.299350i	0.303493	−	0.0116083i
$666$	−0.928081	+	1.60748i	−0.0359624	+	0.0622887i
$667$		−	36.4701i		−	1.41213i
$668$	−11.0956	−	2.97305i	−0.429301	−	0.115031i
$669$	−11.2843	+	3.02363i	−0.436277	+	0.116900i
$670$	−5.52728	−	5.52728i	−0.213537	−	0.213537i
$671$	−0.427730	−	0.427730i	−0.0165123	−	0.0165123i
$672$	−10.8420	−	10.0431i	−0.418238	−	0.387423i
$673$	−22.9048	−	13.2241i	−0.882917	−	0.509752i	−0.0112978	−	0.999936i	$-0.503596\pi$
$673$	−22.9048	−	13.2241i	−0.882917	−	0.509752i	−0.871619	+	0.490184i	$0.836930\pi$
$674$	2.83879	+	0.760652i	0.109346	+	0.0292992i
$675$	−0.404476	−	0.700572i	−0.0155683	−	0.0269650i
$676$	18.0066	−	11.1405i	0.692562	−	0.428480i
$677$	−8.72930	−	5.03986i	−0.335494	−	0.193698i	0.322783	−	0.946473i	$-0.395381\pi$
$677$	−8.72930	−	5.03986i	−0.335494	−	0.193698i	−0.658278	+	0.752775i	$0.728715\pi$
$678$	1.59720	+	5.96083i	0.0613401	+	0.228924i
$679$	43.3582	−	13.4137i	1.66394	−	0.514770i
$680$	14.2292	−	8.21522i	0.545664	−	0.315039i
$681$	10.0589	−	2.69527i	0.385457	−	0.103283i
$682$	−0.107416	−	0.400881i	−0.00411316	−	0.0153505i
$683$	−11.5304	−	43.0319i	−0.441197	−	1.64657i	−0.725786	−	0.687921i	$-0.758524\pi$
$683$	−11.5304	−	43.0319i	−0.441197	−	1.64657i	0.284588	−	0.958650i	$-0.408143\pi$
$684$	2.27496	−	0.609575i	0.0869855	−	0.0233077i
$685$	−6.54246	+	3.77729i	−0.249974	+	0.144323i
$686$	11.1620	+	1.65397i	0.426167	+	0.0631489i
$687$	−0.194192	−	0.724734i	−0.00740888	−	0.0276503i
$688$	−13.7860	−	7.95933i	−0.525585	−	0.303447i
$689$	33.2490	+	18.5272i	1.26669	+	0.705831i
$690$	2.99764	+	5.19207i	0.114118	+	0.197659i
$691$	−3.93350	−	1.05398i	−0.149637	−	0.0400952i	0.183223	−	0.983071i	$-0.441347\pi$
$691$	−3.93350	−	1.05398i	−0.149637	−	0.0400952i	−0.332860	+	0.942976i	$0.608014\pi$
$692$	−31.4981	−	18.1854i	−1.19738	−	0.691306i
$693$	0.0596070	−	0.262159i	0.00226428	−	0.00995859i
$694$	12.9474	+	12.9474i	0.491478	+	0.491478i
$695$	5.44612	+	5.44612i	0.206583	+	0.206583i
$696$	16.2037	−	4.34178i	0.614201	−	0.164575i
$697$	11.8138	+	3.16550i	0.447479	+	0.119902i
$698$			18.6368i			0.705412i
$699$	−12.8692	+	22.2901i	−0.486759	+	0.843091i
$700$	−2.95020	+	1.85715i	−0.111507	+	0.0701937i
$701$			19.7829i			0.747191i	0.927592	+	0.373596i	$0.121875\pi$
$701$			19.7829i			0.747191i	−0.927592	+	0.373596i	$0.878125\pi$
$702$	2.11301	−	0.600801i	0.0797503	−	0.0226758i
$703$	−3.81507	+	2.20263i	−0.143888	+	0.0830737i
$704$	0.0300162	+	0.0300162i	0.00113128	+	0.00113128i
$705$	3.63031	−	2.09596i	0.136725	−	0.0789383i
$706$	−9.51487	−	16.4802i	−0.358097	−	0.620242i
$707$	−42.1169	+	26.5126i	−1.58397	+	0.997110i
$708$	0.946985	−	3.53420i	0.0355899	−	0.132823i
$709$	−2.96777	+	2.96777i	−0.111457	+	0.111457i	−0.760636	−	0.649179i	$-0.775113\pi$
$709$	−2.96777	+	2.96777i	−0.111457	+	0.111457i	0.649179	+	0.760636i	$0.275113\pi$
$710$	−0.0915029	+	0.341493i	−0.00343404	+	0.0128160i
$711$	5.01725	−	8.69014i	0.188162	−	0.325906i
$712$	8.98937	+	15.5701i	0.336891	+	0.583512i
$713$	31.1230	−	8.33939i	1.16557	−	0.312313i
$714$	−1.29737	+	5.70598i	−0.0485528	+	0.213541i
$715$	−0.749969	+	0.0114186i	−0.0280472	+	0.000427032i
$716$	−7.96647	+	13.7983i	−0.297721	+	0.515668i
$717$	8.82009	−	8.82009i	0.329392	−	0.329392i
$718$	−8.11929			−0.303009
$719$	20.6425			0.769835			0.384918	−	0.922951i	$-0.374230\pi$
$719$	20.6425			0.769835			0.384918	+	0.922951i	$0.374230\pi$
$720$	2.76566	−	2.76566i	0.103070	−	0.103070i
$721$	−0.161860	−	4.23175i	−0.00602799	−	0.157599i
$722$	9.95120	+	2.66642i	0.370345	+	0.0992337i
$723$	−7.63836	−	28.5068i	−0.284074	−	1.06018i
$724$	20.0222	+	11.5598i	0.744119	+	0.429617i
$725$		−	6.13792i		−	0.227957i
$726$	−1.73297	+	6.46755i	−0.0643167	+	0.240033i
$727$	−14.8265			−0.549885			−0.274942	−	0.961461i	$-0.588659\pi$
$727$	−14.8265			−0.549885			−0.274942	+	0.961461i	$0.588659\pi$
$728$	−6.53937	−	20.0514i	−0.242365	−	0.743155i
$729$	−1.00000			−0.0370370
$730$	1.39500	−	5.20620i	0.0516311	−	0.192690i
$731$			30.2461i			1.11869i
$732$	8.39690	+	4.84796i	0.310359	+	0.179186i
$733$	10.2170	+	38.1303i	0.377373	+	1.40838i	0.849846	+	0.527031i	$0.176695\pi$
$733$	10.2170	+	38.1303i	0.377373	+	1.40838i	−0.472473	+	0.881345i	$0.656639\pi$
$734$	13.6409	+	3.65506i	0.503494	+	0.134911i
$735$	−2.64080	+	14.0850i	−0.0974075	+	0.519533i
$736$	18.9851	−	18.9851i	0.699801	−	0.699801i
$737$	−0.636817			−0.0234574
$738$	−2.05277			−0.0755637
$739$	−7.59269	+	7.59269i	−0.279302	+	0.279302i	−0.832830	−	0.553529i	$-0.813281\pi$
$739$	−7.59269	+	7.59269i	−0.279302	+	0.279302i	0.553529	+	0.832830i	$0.313281\pi$
$740$	−5.07927	+	8.79755i	−0.186718	+	0.323404i
$741$	5.05591	+	1.27256i	0.185734	+	0.0467486i
$742$	11.5642	−	12.4840i	0.424536	−	0.458303i
$743$	−23.5602	+	6.31294i	−0.864340	+	0.231599i	−0.663639	−	0.748053i	$-0.730989\pi$
$743$	−23.5602	+	6.31294i	−0.864340	+	0.231599i	−0.200701	+	0.979652i	$0.564322\pi$
$744$	7.41042	+	12.8352i	0.271679	+	0.470562i
$745$	15.6238	−	27.0611i	0.572410	−	0.991444i
$746$	0.228417	−	0.852463i	0.00836293	−	0.0312109i
$747$	3.74842	−	3.74842i	0.137147	−	0.137147i
$748$	0.155502	−	0.580343i	0.00568573	−	0.0212194i
$749$	42.4427	+	22.3865i	1.55082	+	0.817987i
$750$	3.62276	+	6.27481i	0.132285	+	0.229124i
$751$	−38.1355	+	22.0175i	−1.39158	+	0.803431i	−0.993491	−	0.113915i	$-0.963661\pi$
$751$	−38.1355	+	22.0175i	−1.39158	+	0.803431i	−0.398092	+	0.917345i	$0.630328\pi$
$752$	−2.76624	−	2.76624i	−0.100874	−	0.100874i
$753$	−5.86769	+	3.38771i	−0.213831	+	0.123455i
$754$	16.1638	+	4.06837i	0.588650	+	0.148161i
$755$			26.0493i			0.948032i
$756$	0.164709	+	4.30622i	0.00599039	+	0.156616i
$757$	15.1721	−	26.2788i	0.551438	−	0.955119i	−0.446733	−	0.894667i	$-0.647413\pi$
$757$	15.1721	−	26.2788i	0.551438	−	0.955119i	0.998171	−	0.0604518i	$-0.0192542\pi$
$758$			1.46215i			0.0531075i
$759$	0.471783	+	0.126414i	0.0171246	+	0.00458853i
$760$	−6.32185	+	1.69393i	−0.229318	+	0.0614454i
$761$	22.2431	+	22.2431i	0.806313	+	0.806313i	0.984074	−	0.177761i	$-0.0568853\pi$
$761$	22.2431	+	22.2431i	0.806313	+	0.806313i	−0.177761	+	0.984074i	$0.556885\pi$
$762$	3.84645	+	3.84645i	0.139342	+	0.139342i
$763$	9.40760	+	30.4090i	0.340578	+	1.10088i
$764$	−6.58305	−	3.80072i	−0.238166	−	0.137505i
$765$	−7.17828	−	1.92342i	−0.259531	−	0.0695412i
$766$	−8.80980	−	15.2590i	−0.318311	−	0.551331i
$767$	5.63930	−	5.81368i	0.203623	−	0.209920i
$768$	5.30545	+	3.06310i	0.191444	+	0.110530i
$769$	6.01297	+	22.4407i	0.216833	+	0.809232i	0.985513	+	0.169599i	$0.0542472\pi$
$769$	6.01297	+	22.4407i	0.216833	+	0.809232i	−0.768680	+	0.639633i	$0.779086\pi$
$770$	−0.0743481	+	0.326992i	−0.00267932	+	0.0117840i
$771$	11.2154	−	6.47519i	0.403911	−	0.233198i
$772$	8.27457	−	2.21717i	0.297808	−	0.0797975i
$773$	13.9370	+	52.0135i	0.501279	+	1.87080i	0.491559	+	0.870844i	$0.336427\pi$
$773$	13.9370	+	52.0135i	0.501279	+	1.87080i	0.00971975	+	0.999953i	$0.496906\pi$
$774$	−1.31389	−	4.90352i	−0.0472270	−	0.176253i
$775$	5.23801	−	1.40352i	0.188155	−	0.0504160i
$776$	−32.8453	+	18.9632i	−1.17908	+	0.680741i
$777$	−2.38223	−	7.70028i	−0.0854619	−	0.276246i
$778$	−4.78549	−	17.8597i	−0.171568	−	0.640300i
$779$	−4.21917	−	2.43594i	−0.151168	−	0.0872766i
$780$	11.5642	−	3.28810i	0.414065	−	0.117733i
$781$	0.0144011	+	0.0249435i	0.000515313	+	0.000892548i
$782$	−10.2685	−	2.75144i	−0.367202	−	0.0983914i
$783$	−6.57097	−	3.79375i	−0.234827	−	0.135578i
$784$	13.3346	−	1.02157i	0.476236	−	0.0364845i
$785$	25.6614	+	25.6614i	0.915894	+	0.915894i
$786$	−8.20380	−	8.20380i	−0.292620	−	0.292620i
$787$	20.2605	−	5.42880i	0.722210	−	0.193516i	0.121053	−	0.992646i	$-0.461373\pi$
$787$	20.2605	−	5.42880i	0.722210	−	0.193516i	0.601158	+	0.799130i	$0.294706\pi$
$788$	−17.9783	−	4.81726i	−0.640449	−	0.171608i
$789$		−	5.52376i		−	0.196651i
$790$	−6.25804	+	10.8392i	−0.222651	+	0.385643i
$791$	−23.7028	−	12.5021i	−0.842776	−	0.444525i
$792$			0.224664i			0.00798308i
$793$	11.0134	+	18.4222i	0.391096	+	0.654191i
$794$	9.07809	−	5.24124i	0.322169	−	0.186005i
$795$	15.2817	+	15.2817i	0.541987	+	0.541987i
$796$	−9.83426	+	5.67781i	−0.348566	+	0.201245i
$797$	9.47306	+	16.4078i	0.335553	+	0.581195i	0.983591	−	0.180413i	$-0.0577434\pi$
$797$	9.47306	+	16.4078i	0.335553	+	0.581195i	−0.648038	+	0.761608i	$0.724410\pi$
$798$	1.08745	−	2.06170i	0.0384954	−	0.0729834i
$799$	−1.92381	+	7.17977i	−0.0680596	+	0.254002i
$800$	3.19520	−	3.19520i	0.112967	−	0.112967i
$801$	2.10467	−	7.85472i	0.0743647	−	0.277533i
$802$	4.59013	−	7.95035i	0.162083	−	0.280737i
$803$	−0.219551	−	0.380273i	−0.00774778	−	0.0134195i
$804$	9.85967	−	2.64189i	0.347724	−	0.0931723i
$805$	−25.3865	−	5.77213i	−0.894757	−	0.203441i
$806$	0.224183	+	14.7242i	0.00789650	+	0.518639i
$807$	6.06663	−	10.5077i	0.213556	−	0.369889i
$808$	29.4069	−	29.4069i	1.03453	−	1.03453i
$809$	−41.8065			−1.46984			−0.734918	−	0.678155i	$-0.762780\pi$
$809$	−41.8065			−1.46984			−0.734918	+	0.678155i	$0.762780\pi$
$810$	1.24730			0.0438258
$811$	16.4161	−	16.4161i	0.576448	−	0.576448i	−0.357475	−	0.933923i	$-0.616362\pi$
$811$	16.4161	−	16.4161i	0.576448	−	0.576448i	0.933923	+	0.357475i	$0.116362\pi$
$812$	−15.2544	+	28.9209i	−0.535325	+	1.01492i
$813$	2.20692	+	0.591343i	0.0774002	+	0.0207393i
$814$	−0.0488172	−	0.182188i	−0.00171104	−	0.00638570i
$815$	−42.2904	−	24.4163i	−1.48137	−	0.855267i
$816$			6.93535i			0.242786i
$817$	3.11829	−	11.6376i	0.109095	−	0.407148i
$818$	−10.9663			−0.383427
$819$	−4.32149	+	8.50440i	−0.151005	+	0.297168i
$820$	−11.2346			−0.392328
$821$	−10.3863	+	38.7623i	−0.362485	+	1.35281i	0.508314	+	0.861172i	$0.330269\pi$
$821$	−10.3863	+	38.7623i	−0.362485	+	1.35281i	−0.870798	+	0.491640i	$0.836398\pi$
$822$			2.24833i			0.0784195i
$823$	22.9607	+	13.2564i	0.800360	+	0.462088i	0.843597	−	0.536977i	$-0.180434\pi$
$823$	22.9607	+	13.2564i	0.800360	+	0.462088i	−0.0432370	+	0.999065i	$0.513767\pi$
$824$	0.915920	+	3.41826i	0.0319076	+	0.119081i
$825$	0.0794012	+	0.0212755i	0.00276439	+	0.000740717i
$826$	−1.92909	−	3.06448i	−0.0671218	−	0.106627i
$827$	−9.55537	+	9.55537i	−0.332273	+	0.332273i	−0.853449	−	0.521176i	$-0.825493\pi$
$827$	−9.55537	+	9.55537i	−0.332273	+	0.332273i	0.521176	+	0.853449i	$0.325493\pi$
$828$	−7.82893			−0.272074
$829$	−7.50521			−0.260667			−0.130333	−	0.991470i	$-0.541605\pi$
$829$	−7.50521			−0.260667			−0.130333	+	0.991470i	$0.541605\pi$
$830$	−4.67542	+	4.67542i	−0.162286	+	0.162286i
$831$	−2.59211	+	4.48966i	−0.0899192	+	0.155745i
$832$	−0.772869	−	1.29279i	−0.0267944	−	0.0448194i
$833$	−14.3491	−	20.9714i	−0.497167	−	0.726614i
$834$	2.21409	−	0.593264i	0.0766677	−	0.0205431i
$835$	−7.21893	−	12.5036i	−0.249821	−	0.432703i
$836$	−0.119663	+	0.207263i	−0.00413865	+	0.00716835i
$837$	1.73499	−	6.47506i	0.0599700	−	0.223811i
$838$	−6.50273	+	6.50273i	−0.224633	+	0.224633i
$839$	3.08672	−	11.5198i	0.106566	−	0.397708i	−0.891953	−	0.452129i	$-0.850665\pi$
$839$	3.08672	−	11.5198i	0.106566	−	0.397708i	0.998518	+	0.0544211i	$0.0173313\pi$
$840$	−0.457705	−	11.9665i	−0.0157923	−	0.412882i
$841$	−14.2851	−	24.7425i	−0.492589	−	0.853189i
$842$	−9.87209	+	5.69965i	−0.340215	+	0.196423i
$843$	13.5499	+	13.5499i	0.466684	+	0.466684i
$844$	11.1403	−	6.43186i	0.383465	−	0.221394i
$845$	25.9046	+	6.10232i	0.891146	+	0.209926i
$846$		−	1.24756i		−	0.0428921i
$847$	−15.4898	−	24.6065i	−0.532235	−	0.845488i
$848$	10.0844	−	17.4666i	0.346299	−	0.599807i
$849$			13.6939i			0.469974i
$850$	−1.72819	−	0.463068i	−0.0592766	−	0.0158831i
$851$	14.1445	−	3.79000i	0.484866	−	0.129920i
$852$	−0.326449	−	0.326449i	−0.0111840	−	0.0111840i
$853$	3.51458	+	3.51458i	0.120337	+	0.120337i	0.764711	−	0.644374i	$-0.222882\pi$
$853$	3.51458	+	3.51458i	0.120337	+	0.120337i	−0.644374	+	0.764711i	$0.722882\pi$
$854$	9.16719	−	2.83604i	0.313695	−	0.0970474i
$855$	2.56365	+	1.48012i	0.0876749	+	0.0506191i
$856$	−38.7321	−	10.3782i	−1.32384	−	0.354721i
$857$	27.7599	+	48.0815i	0.948259	+	1.64243i	0.749091	+	0.662467i	$0.230491\pi$
$857$	27.7599	+	48.0815i	0.948259	+	1.64243i	0.199168	+	0.979965i	$0.436176\pi$
$858$	−0.108657	+	0.194995i	−0.00370948	+	0.00665703i
$859$	23.3968	+	13.5082i	0.798289	+	0.460892i	0.842872	−	0.538113i	$-0.180863\pi$
$859$	23.3968	+	13.5082i	0.798289	+	0.460892i	−0.0445837	+	0.999006i	$0.514196\pi$
$860$	−7.19077	−	26.8363i	−0.245203	−	0.915111i
$861$	6.05772	−	6.53956i	0.206447	−	0.222868i
$862$	21.4612	−	12.3906i	0.730971	−	0.422026i
$863$	1.02108	−	0.273598i	0.0347580	−	0.00931338i	−0.241398	−	0.970426i	$-0.577606\pi$
$863$	1.02108	−	0.273598i	0.0347580	−	0.00931338i	0.276156	+	0.961113i	$0.410939\pi$
$864$	−1.44573	−	5.39553i	−0.0491847	−	0.183560i
$865$	−11.8317	−	44.1564i	−0.402289	−	1.50136i
$866$	2.28527	−	0.612336i	0.0776566	−	0.0208080i
$867$	−3.31044	+	1.91128i	−0.112428	+	0.0649105i
$868$	−28.1688	−	6.40474i	−0.956112	−	0.217391i
$869$	0.263908	+	0.984919i	0.00895247	+	0.0334111i
$870$	8.19599	+	4.73196i	0.277870	+	0.160428i
$871$	21.9123	+	5.51525i	0.742468	+	0.186877i
$872$	−13.2998	−	23.0358i	−0.450386	−	0.780092i
$873$	16.5697	+	4.43983i	0.560798	+	0.150265i
$874$	3.66729	+	2.11731i	0.124048	+	0.0716192i
$875$	−30.6805	−	6.97583i	−1.03719	−	0.235826i
$876$	4.97684	+	4.97684i	0.168152	+	0.168152i
$877$	17.2950	+	17.2950i	0.584010	+	0.584010i	0.936003	−	0.351993i	$-0.114496\pi$
$877$	17.2950	+	17.2950i	0.584010	+	0.584010i	−0.351993	+	0.936003i	$0.614496\pi$
$878$	−13.7477	+	3.68367i	−0.463961	+	0.124318i
$879$	19.9768	+	5.35275i	0.673799	+	0.180544i
$880$			0.397443i			0.0133978i
$881$	−11.6797	+	20.2298i	−0.393498	+	0.681558i	−0.992908	−	0.118884i	$-0.962068\pi$
$881$	−11.6797	+	20.2298i	−0.393498	+	0.681558i	0.599411	+	0.800442i	$0.295402\pi$
$882$	3.23729	+	2.77657i	0.109005	+	0.0934919i
$883$			52.8083i			1.77714i	0.458739	+	0.888571i	$0.348301\pi$
$883$			52.8083i			1.77714i	−0.458739	+	0.888571i	$0.651699\pi$
$884$	−10.3768	+	18.6223i	−0.349011	+	0.626335i
$885$	3.98267	−	2.29940i	0.133876	−	0.0772933i
$886$	6.56889	+	6.56889i	0.220686	+	0.220686i
$887$	38.0146	−	21.9477i	1.27640	−	0.736932i	0.300219	−	0.953870i	$-0.402940\pi$
$887$	38.0146	−	21.9477i	1.27640	−	0.736932i	0.976185	+	0.216938i	$0.0696069\pi$
$888$	3.36781	+	5.83322i	0.113016	+	0.195750i
$889$	−23.6045	+	0.902850i	−0.791671	+	0.0302806i
$890$	−2.62516	+	9.79722i	−0.0879955	+	0.328404i
$891$	0.0718531	−	0.0718531i	0.00240717	−	0.00240717i
$892$	−4.92485	+	18.3798i	−0.164896	+	0.615400i
$893$	1.48043	−	2.56418i	0.0495407	−	0.0858069i
$894$	−4.64981	−	8.05371i	−0.155513	−	0.269356i
$895$	−19.3436	+	5.18309i	−0.646584	+	0.173252i
$896$	−28.8805	+	8.93473i	−0.964831	+	0.298489i
$897$	−15.1388	−	8.43573i	−0.505469	−	0.281661i
$898$	7.01818	−	12.1559i	0.234200	−	0.405646i
$899$	35.9653	−	35.9653i	1.19951	−	1.19951i
$900$	−1.31761			−0.0439203
$901$	−38.3214			−1.27667
$902$	0.147498	−	0.147498i	0.00491115	−	0.00491115i
$903$	19.4985	+	10.2846i	0.648870	+	0.342249i
$904$	21.6306	+	5.79590i	0.719422	+	0.192769i
$905$	7.52098	+	28.0687i	0.250006	+	0.933034i
$906$	6.71393	+	3.87629i	0.223055	+	0.128781i
$907$			19.7220i			0.654857i	0.944876	+	0.327429i	$0.106182\pi$
$907$			19.7220i			0.654857i	−0.944876	+	0.327429i	$0.893818\pi$
$908$	4.39002	−	16.3838i	0.145688	−	0.543714i
$909$	−18.8102			−0.623893
$910$	5.39021	−	10.6076i	0.178684	−	0.351637i
$911$	−32.0257			−1.06106			−0.530529	−	0.847667i	$-0.678007\pi$
$911$	−32.0257			−1.06106			−0.530529	+	0.847667i	$0.678007\pi$
$912$	0.715016	−	2.66848i	0.0236765	−	0.0883620i
$913$			0.538671i			0.0178274i
$914$	2.13867	+	1.23476i	0.0707410	+	0.0408423i
$915$	3.15414	+	11.7714i	0.104273	+	0.389151i
$916$	−1.18044	−	0.316297i	−0.0390028	−	0.0104508i
$917$	50.3443	−	1.92562i	1.66252	−	0.0635896i
$918$	−1.56391	+	1.56391i	−0.0516167	+	0.0516167i
$919$	25.6418			0.845845			0.422922	−	0.906166i	$-0.361004\pi$
$919$	25.6418			0.845845			0.422922	+	0.906166i	$0.361004\pi$
$920$	21.7556			0.717262
$921$	12.7621	−	12.7621i	0.420525	−	0.420525i
$922$	4.48597	−	7.76992i	0.147737	−	0.255889i
$923$	−0.279502	−	0.983005i	−0.00919993	−	0.0323560i
$924$	−0.321250	−	0.297580i	−0.0105684	−	0.00978968i
$925$	2.38052	−	0.637858i	0.0782709	−	0.0209726i
$926$	−1.67552	−	2.90208i	−0.0550609	−	0.0953683i
$927$	0.800311	−	1.38618i	0.0262856	−	0.0455281i
$928$	10.9695	−	40.9386i	0.360090	−	1.34388i
$929$	12.0264	−	12.0264i	0.394574	−	0.394574i	−0.481740	−	0.876314i	$-0.659995\pi$
$929$	12.0264	−	12.0264i	0.394574	−	0.394574i	0.876314	+	0.481740i	$0.159995\pi$
$930$	−2.16406	+	8.07637i	−0.0709622	+	0.264835i
$931$	3.35893	+	9.54838i	0.110085	+	0.312935i
$932$	20.9612	+	36.3059i	0.686608	+	1.18924i
$933$	−6.91458	+	3.99213i	−0.226373	+	0.130697i
$934$	1.88488	+	1.88488i	0.0616751	+	0.0616751i
$935$	0.653985	−	0.377579i	0.0213876	−	0.0123481i
$936$	1.94574	−	7.73047i	0.0635983	−	0.252678i
$937$			23.7513i			0.775922i	0.921676	+	0.387961i	$0.126820\pi$
$937$			23.7513i			0.775922i	−0.921676	+	0.387961i	$0.873180\pi$
$938$	4.71300	−	8.93538i	0.153885	−	0.291751i
$939$	9.59123	−	16.6125i	0.312998	−	0.542129i
$940$		−	6.82774i		−	0.222696i
$941$	−18.0159	−	4.82733i	−0.587300	−	0.157367i	−0.0470811	−	0.998891i	$-0.514992\pi$
$941$	−18.0159	−	4.82733i	−0.587300	−	0.157367i	−0.540219	+	0.841525i	$0.681659\pi$
$942$	10.4325	−	2.79538i	0.339909	−	0.0910784i
$943$	11.4513	+	11.4513i	0.372904	+	0.372904i
$944$	−3.03473	−	3.03473i	−0.0987721	−	0.0987721i
$945$	−3.68079	+	3.97356i	−0.119736	+	0.129260i
$946$	0.446741	+	0.257926i	0.0145248	+	0.00838589i
$947$	−46.6262	−	12.4935i	−1.51515	−	0.405983i	−0.597008	−	0.802236i	$-0.703644\pi$
$947$	−46.6262	−	12.4935i	−1.51515	−	0.405983i	−0.918142	+	0.396253i	$0.870310\pi$
$948$	−8.17204	−	14.1544i	−0.265416	−	0.459713i
$949$	4.26112	+	14.9863i	0.138322	+	0.486476i
$950$	0.617206	+	0.356344i	0.0200248	+	0.0115613i
$951$	−6.86941	−	25.6370i	−0.222756	−	0.831336i
$952$	15.5778	+	14.4300i	0.504879	+	0.467680i
$953$	−5.68926	+	3.28470i	−0.184293	+	0.106402i	−0.589308	−	0.807908i	$-0.700600\pi$
$953$	−5.68926	+	3.28470i	−0.184293	+	0.106402i	0.405015	+	0.914310i	$0.367266\pi$
$954$	6.21270	−	1.66469i	0.201144	−	0.0538963i
$955$	−2.47280	−	9.22862i	−0.0800180	−	0.298631i
$956$	−5.25834	−	19.6244i	−0.170067	−	0.634698i
$957$	0.744737	−	0.199552i	0.0240739	−	0.00645059i
$958$	−16.7047	+	9.64445i	−0.539704	+	0.311598i
$959$	−7.16254	−	6.63480i	−0.231290	−	0.214249i
$960$	−0.221344	−	0.826067i	−0.00714385	−	0.0266612i
$961$	12.0695	+	6.96831i	0.389338	+	0.224784i
$962$	0.101884	+	6.69171i	0.00328488	+	0.215750i
$963$	9.06827	+	15.7067i	0.292221	+	0.506142i
$964$	−46.4315	−	12.4413i	−1.49546	−	0.400707i
$965$	9.32458	+	5.38355i	0.300169	+	0.173303i
$966$	−5.26536	+	5.68417i	−0.169410	+	0.182885i
$967$	−3.29098	−	3.29098i	−0.105831	−	0.105831i	0.652209	−	0.758039i	$-0.273843\pi$
$967$	−3.29098	−	3.29098i	−0.105831	−	0.105831i	−0.758039	+	0.652209i	$0.773843\pi$
$968$	17.1808	+	17.1808i	0.552211	+	0.552211i
$969$	−5.07021	+	1.35856i	−0.162878	+	0.0436432i
$970$	−20.6674	−	5.53781i	−0.663590	−	0.177809i
$971$			10.1040i			0.324252i	0.986770	+	0.162126i	$0.0518351\pi$
$971$			10.1040i			0.324252i	−0.986770	+	0.162126i	$0.948165\pi$
$972$	−0.814394	+	1.41057i	−0.0261217	+	0.0452441i
$973$	−4.64380	+	8.80418i	−0.148873	+	0.282249i
$974$		−	19.3524i		−	0.620091i
$975$	−2.54786	−	1.41973i	−0.0815968	−	0.0454679i
$976$	9.84935	−	5.68653i	0.315270	−	0.182021i
$977$	−9.71840	−	9.71840i	−0.310919	−	0.310919i	0.534347	−	0.845266i	$-0.320558\pi$
$977$	−9.71840	−	9.71840i	−0.310919	−	0.310919i	−0.845266	+	0.534347i	$0.820558\pi$
$978$	−12.5861	+	7.26659i	−0.402459	+	0.232360i
$979$	0.413159	+	0.715613i	0.0132046	+	0.0228711i
$980$	17.7173	+	15.1958i	0.565957	+	0.485412i
$981$	−3.11385	+	11.6210i	−0.0994175	+	0.371031i
$982$	1.58877	−	1.58877i	0.0506997	−	0.0506997i
$983$	12.2825	−	45.8389i	0.391751	−	1.46203i	−0.435494	−	0.900192i	$-0.643426\pi$
$983$	12.2825	−	45.8389i	0.391751	−	1.46203i	0.827244	−	0.561842i	$-0.189907\pi$
$984$	−3.72454	+	6.45110i	−0.118734	+	0.205653i
$985$	−11.6969	−	20.2596i	−0.372694	−	0.645525i
$986$	−16.2095	+	4.34332i	−0.516215	+	0.138319i
$987$	3.97438	+	3.68155i	0.126506	+	0.117185i
$988$	5.91254	−	6.09537i	0.188103	−	0.193919i
$989$	−20.0245	+	34.6834i	−0.636741	+	1.10287i
$990$	−0.0896227	+	0.0896227i	−0.00284840	+	0.00284840i
$991$	−9.24523			−0.293685			−0.146842	−	0.989160i	$-0.546911\pi$
$991$	−9.24523			−0.293685			−0.146842	+	0.989160i	$0.546911\pi$
$992$	37.4447			1.18887
$993$	−23.9253	+	23.9253i	−0.759246	+	0.759246i
$994$	−0.456571	+	0.0174634i	−0.0144816	+	0.000553905i
$995$	−13.7864	−	3.69406i	−0.437059	−	0.117110i
$996$	−2.23472	−	8.34010i	−0.0708099	−	0.264266i
$997$	33.3012	+	19.2265i	1.05466	+	0.608908i	0.923950	−	0.382513i	$-0.124941\pi$
$997$	33.3012	+	19.2265i	1.05466	+	0.608908i	0.130710	+	0.991421i	$0.458274\pi$
$998$		−	17.9300i		−	0.567564i
$999$	0.788499	−	2.94272i	0.0249470	−	0.0931035i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.a.124.6	yes	36
3.2	odd	2		819.2.gh.c.397.4		36
7.3	odd	6		273.2.bt.a.241.6	yes	36
13.2	odd	12		273.2.bt.a.145.6	✓	36
21.17	even	6		819.2.et.c.514.4		36
39.2	even	12		819.2.et.c.145.4		36
91.80	even	12	inner	273.2.cg.a.262.6	yes	36
273.80	odd	12		819.2.gh.c.262.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.145.6	✓	36	13.2	odd	12
273.2.bt.a.241.6	yes	36	7.3	odd	6
273.2.cg.a.124.6	yes	36	1.1	even	1	trivial
273.2.cg.a.262.6	yes	36	91.80	even	12	inner
819.2.et.c.145.4		36	39.2	even	12
819.2.et.c.514.4		36	21.17	even	6
819.2.gh.c.262.4		36	273.80	odd	12
819.2.gh.c.397.4		36	3.2	odd	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.157691 - 0.588511i) q^{2} +1.00000i q^{3} +(1.41057 + 0.814394i) q^{4} +(0.529856 + 1.97745i) q^{5} +(0.588511 + 0.157691i) q^{6} +(-2.23905 + 1.40948i) q^{7} +(1.56335 - 1.56335i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(0.157691 - 0.588511i) q^{2} +1.00000i q^{3} +(1.41057 + 0.814394i) q^{4} +(0.529856 + 1.97745i) q^{5} +(0.588511 + 0.157691i) q^{6} +(-2.23905 + 1.40948i) q^{7} +(1.56335 - 1.56335i) q^{8} -1.00000 q^{9} +1.24730 q^{10} +(0.0718531 - 0.0718531i) q^{11} +(-0.814394 + 1.41057i) q^{12} +(-3.09469 + 1.85010i) q^{13} +(0.476419 + 1.53997i) q^{14} +(-1.97745 + 0.529856i) q^{15} +(0.955263 + 1.65456i) q^{16} +(1.81504 - 3.14374i) q^{17} +(-0.157691 + 0.588511i) q^{18} +(-1.02247 + 1.02247i) q^{19} +(-0.863023 + 3.22084i) q^{20} +(-1.40948 - 2.23905i) q^{21} +(-0.0309558 - 0.0536170i) q^{22} +(4.16264 - 2.40330i) q^{23} +(1.56335 + 1.56335i) q^{24} +(0.700572 - 0.404476i) q^{25} +(0.600801 + 2.11301i) q^{26} -1.00000i q^{27} +(-4.30622 + 0.164709i) q^{28} +(3.79375 - 6.57097i) q^{29} +1.24730i q^{30} +(6.47506 + 1.73499i) q^{31} +(5.39553 - 1.44573i) q^{32} +(0.0718531 + 0.0718531i) q^{33} +(-1.56391 - 1.56391i) q^{34} +(-3.97356 - 3.68079i) q^{35} +(-1.41057 - 0.814394i) q^{36} +(2.94272 + 0.788499i) q^{37} +(0.440501 + 0.762971i) q^{38} +(-1.85010 - 3.09469i) q^{39} +(3.91981 + 2.26310i) q^{40} +(0.872020 + 3.25442i) q^{41} +(-1.53997 + 0.476419i) q^{42} +(-7.21579 + 4.16604i) q^{43} +(0.159871 - 0.0428372i) q^{44} +(-0.529856 - 1.97745i) q^{45} +(-0.757958 - 2.82874i) q^{46} +(-1.97786 + 0.529965i) q^{47} +(-1.65456 + 0.955263i) q^{48} +(3.02671 - 6.31182i) q^{49} +(-0.127564 - 0.476077i) q^{50} +(3.14374 + 1.81504i) q^{51} +(-5.87200 + 0.0894038i) q^{52} +(-5.27832 - 9.14232i) q^{53} +(-0.588511 - 0.157691i) q^{54} +(0.180158 + 0.104014i) q^{55} +(-1.29691 + 5.70396i) q^{56} +(-1.02247 - 1.02247i) q^{57} +(-3.26885 - 3.26885i) q^{58} +(-2.16983 + 0.581405i) q^{59} +(-3.22084 - 0.863023i) q^{60} -5.95284i q^{61} +(2.04212 - 3.53706i) q^{62} +(2.23905 - 1.40948i) q^{63} +0.417744i q^{64} +(-5.29822 - 5.13931i) q^{65} +(0.0536170 - 0.0309558i) q^{66} +(-4.43138 - 4.43138i) q^{67} +(5.12048 - 2.95631i) q^{68} +(2.40330 + 4.16264i) q^{69} +(-2.79278 + 1.75806i) q^{70} +(-0.0733605 + 0.273785i) q^{71} +(-1.56335 + 1.56335i) q^{72} +(1.11841 - 4.17396i) q^{73} +(0.928081 - 1.60748i) q^{74} +(0.404476 + 0.700572i) q^{75} +(-2.27496 + 0.609575i) q^{76} +(-0.0596070 + 0.262159i) q^{77} +(-2.11301 + 0.600801i) q^{78} +(-5.01725 + 8.69014i) q^{79} +(-2.76566 + 2.76566i) q^{80} +1.00000 q^{81} +2.05277 q^{82} +(-3.74842 + 3.74842i) q^{83} +(-0.164709 - 4.30622i) q^{84} +(7.17828 + 1.92342i) q^{85} +(1.31389 + 4.90352i) q^{86} +(6.57097 + 3.79375i) q^{87} -0.224664i q^{88} +(-2.10467 + 7.85472i) q^{89} -1.24730 q^{90} +(4.32149 - 8.50440i) q^{91} +7.82893 q^{92} +(-1.73499 + 6.47506i) q^{93} +1.24756i q^{94} +(-2.56365 - 1.48012i) q^{95} +(1.44573 + 5.39553i) q^{96} +(-16.5697 - 4.43983i) q^{97} +(-3.23729 - 2.77657i) q^{98} +(-0.0718531 + 0.0718531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 - 36 * q^9	\( 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

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