LMFDB - Embedded newform 276.2.m.a.7.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (of order $22$, degree $10$, 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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.20
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.19634 + 0.754175i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.862440 + 1.80449i) q^{4} +(1.92635 - 0.879733i) q^{5} +(-0.0123356 - 1.41416i) q^{6} +(0.906673 - 0.266223i) q^{7} +(-0.329137 + 2.80921i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(1.19634 + 0.754175i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.862440 + 1.80449i) q^{4} +(1.92635 - 0.879733i) q^{5} +(-0.0123356 - 1.41416i) q^{6} +(0.906673 - 0.266223i) q^{7} +(-0.329137 + 2.80921i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(2.96803 + 0.400347i) q^{10} +(-1.56995 - 1.81182i) q^{11} +(1.05177 - 1.70111i) q^{12} +(1.21043 + 0.355413i) q^{13} +(1.28546 + 0.365298i) q^{14} +(-1.78154 - 1.14493i) q^{15} +(-2.51240 + 3.11253i) q^{16} +(4.32571 + 0.621943i) q^{17} +(-1.18300 + 0.774930i) q^{18} +(-0.151973 - 1.05700i) q^{19} +(3.24883 + 2.71736i) q^{20} +(-0.714146 - 0.618811i) q^{21} +(-0.511758 - 3.35156i) q^{22} +(-4.76843 + 0.511920i) q^{23} +(2.54120 - 1.24189i) q^{24} +(-0.337421 + 0.389405i) q^{25} +(1.18003 + 1.33807i) q^{26} +(0.989821 - 0.142315i) q^{27} +(1.26235 + 1.40648i) q^{28} +(0.164685 - 1.14541i) q^{29} +(-1.26785 - 2.71331i) q^{30} +(-3.68217 + 5.72957i) q^{31} +(-5.35307 + 1.82885i) q^{32} +(-0.675419 + 2.30027i) q^{33} +(4.70595 + 4.00639i) q^{34} +(1.51236 - 1.31047i) q^{35} +(-1.99970 + 0.0348889i) q^{36} +(-5.44152 - 2.48506i) q^{37} +(0.615349 - 1.37914i) q^{38} +(-0.355413 - 1.21043i) q^{39} +(1.83733 + 5.70107i) q^{40} +(-3.94341 - 8.63486i) q^{41} +(-0.387667 - 1.27890i) q^{42} +(-0.0805092 + 0.0517401i) q^{43} +(1.91543 - 4.39554i) q^{44} +2.11772i q^{45} +(-6.09072 - 2.98380i) q^{46} -8.69679i q^{47} +(3.97673 + 0.430799i) q^{48} +(-5.13759 + 3.30173i) q^{49} +(-0.697349 + 0.211385i) q^{50} +(-1.81544 - 3.97526i) q^{51} +(0.402579 + 2.49073i) q^{52} +(-1.54947 - 5.27701i) q^{53} +(1.29149 + 0.576242i) q^{54} +(-4.61818 - 2.10905i) q^{55} +(0.449458 + 2.63466i) q^{56} +(-0.807039 + 0.699303i) q^{57} +(1.06086 - 1.24609i) q^{58} +(0.486244 - 1.65600i) q^{59} +(0.529542 - 4.20221i) q^{60} +(-4.23592 + 6.59122i) q^{61} +(-8.72622 + 4.07749i) q^{62} +(-0.134480 + 0.935332i) q^{63} +(-7.78334 - 1.84923i) q^{64} +(2.64437 - 0.380203i) q^{65} +(-2.54283 + 2.24251i) q^{66} +(3.69124 - 4.25992i) q^{67} +(2.60837 + 8.34210i) q^{68} +(3.00866 + 3.73469i) q^{69} +(2.79762 - 0.427175i) q^{70} +(7.09378 + 6.14680i) q^{71} +(-2.41862 - 1.46638i) q^{72} +(1.48957 + 10.3602i) q^{73} +(-4.63572 - 7.07683i) q^{74} +(0.510012 + 0.0733287i) q^{75} +(1.77627 - 1.18583i) q^{76} +(-1.90578 - 1.22477i) q^{77} +(0.487680 - 1.71612i) q^{78} +(9.71695 + 2.85315i) q^{79} +(-2.10155 + 8.20606i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(1.79456 - 13.3042i) q^{82} +(-1.70125 + 3.72522i) q^{83} +(0.500733 - 1.82236i) q^{84} +(8.87996 - 2.60739i) q^{85} +(-0.135337 + 0.00118053i) q^{86} +(-1.05262 + 0.480714i) q^{87} +(5.60650 - 3.81398i) q^{88} +(-2.71733 - 4.22824i) q^{89} +(-1.59713 + 2.53351i) q^{90} +1.19208 q^{91} +(-5.03624 - 8.16310i) q^{92} +6.81076 q^{93} +(6.55890 - 10.4043i) q^{94} +(-1.22263 - 1.90245i) q^{95} +(4.43261 + 3.51453i) q^{96} +(-11.2803 + 5.15155i) q^{97} +(-8.63637 + 0.0753342i) q^{98} +(2.30027 - 0.675419i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	1.19634	+	0.754175i	0.845937	+	0.533282i
$2$	1.19634	+	0.754175i	0.845937	+	0.533282i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$3$	−0.540641	−	0.841254i	−0.312139	−	0.485698i
$4$	0.862440	+	1.80449i	0.431220	+	0.902247i
$5$	1.92635	−	0.879733i	0.861489	−	0.393429i	0.0648575	−	0.997895i	$-0.479341\pi$
$5$	1.92635	−	0.879733i	0.861489	−	0.393429i	0.796631	+	0.604466i	$0.206613\pi$
$6$	−0.0123356	−	1.41416i	−0.00503597	−	0.577328i
$7$	0.906673	−	0.266223i	0.342690	−	0.100623i	−0.105859	−	0.994381i	$-0.533759\pi$
$7$	0.906673	−	0.266223i	0.342690	−	0.100623i	0.448549	+	0.893758i	$0.351941\pi$
$8$	−0.329137	+	2.80921i	−0.116367	+	0.993206i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	2.96803	+	0.400347i	0.938574	+	0.126601i
$11$	−1.56995	−	1.81182i	−0.473357	−	0.546283i	0.467985	−	0.883736i	$-0.344980\pi$
$11$	−1.56995	−	1.81182i	−0.473357	−	0.546283i	−0.941342	+	0.337453i	$0.890435\pi$
$12$	1.05177	−	1.70111i	0.303619	−	0.491069i
$13$	1.21043	+	0.355413i	0.335712	+	0.0985739i	0.445244	−	0.895409i	$-0.353117\pi$
$13$	1.21043	+	0.355413i	0.335712	+	0.0985739i	−0.109532	+	0.993983i	$0.534935\pi$
$14$	1.28546	+	0.365298i	0.343555	+	0.0976300i
$15$	−1.78154	−	1.14493i	−0.459992	−	0.295619i
$16$	−2.51240	+	3.11253i	−0.628099	+	0.778134i
$17$	4.32571	+	0.621943i	1.04914	+	0.150843i	0.645255	−	0.763967i	$-0.276751\pi$
$17$	4.32571	+	0.621943i	1.04914	+	0.150843i	0.403883	+	0.914811i	$0.367660\pi$
$18$	−1.18300	+	0.774930i	−0.278835	+	0.182653i
$19$	−0.151973	−	1.05700i	−0.0348650	−	0.242491i	0.964935	−	0.262489i	$-0.0845433\pi$
$19$	−0.151973	−	1.05700i	−0.0348650	−	0.242491i	−0.999800	+	0.0199974i	$0.993634\pi$
$20$	3.24883	+	2.71736i	0.726461	+	0.607621i
$21$	−0.714146	−	0.618811i	−0.155839	−	0.135036i
$22$	−0.511758	−	3.35156i	−0.109107	−	0.714554i
$23$	−4.76843	+	0.511920i	−0.994287	+	0.106743i
$23$	−4.76843	+	0.511920i	−0.994287	+	0.106743i
$24$	2.54120	−	1.24189i	0.518721	−	0.253499i
$25$	−0.337421	+	0.389405i	−0.0674843	+	0.0778810i
$26$	1.18003	+	1.33807i	0.231423	+	0.262417i
$27$	0.989821	−	0.142315i	0.190491	−	0.0273885i
$28$	1.26235	+	1.40648i	0.238562	+	0.265801i
$29$	0.164685	−	1.14541i	0.0305813	−	0.212697i	−0.968801	−	0.247840i	$-0.920279\pi$
$29$	0.164685	−	1.14541i	0.0305813	−	0.212697i	0.999382	+	0.0351423i	$0.0111885\pi$
$30$	−1.26785	−	2.71331i	−0.231476	−	0.495380i
$31$	−3.68217	+	5.72957i	−0.661338	+	1.02906i	0.334888	+	0.942258i	$0.391302\pi$
$31$	−3.68217	+	5.72957i	−0.661338	+	1.02906i	−0.996225	+	0.0868036i	$0.972335\pi$
$32$	−5.35307	+	1.82885i	−0.946297	+	0.323298i
$33$	−0.675419	+	2.30027i	−0.117575	+	0.400425i
$34$	4.70595	+	4.00639i	0.807063	+	0.687091i
$35$	1.51236	−	1.31047i	0.255636	−	0.221510i
$36$	−1.99970	+	0.0348889i	−0.333283	+	0.00581482i
$37$	−5.44152	−	2.48506i	−0.894581	−	0.408541i	−0.0855680	−	0.996332i	$-0.527270\pi$
$37$	−5.44152	−	2.48506i	−0.894581	−	0.408541i	−0.809013	+	0.587791i	$0.799998\pi$
$38$	0.615349	−	1.37914i	0.0998228	−	0.223725i
$39$	−0.355413	−	1.21043i	−0.0569117	−	0.193823i
$40$	1.83733	+	5.70107i	0.290507	+	0.901418i
$41$	−3.94341	−	8.63486i	−0.615857	−	1.34854i	−0.918495	−	0.395433i	$-0.870595\pi$
$41$	−3.94341	−	8.63486i	−0.615857	−	1.34854i	0.302638	−	0.953106i	$-0.402133\pi$
$42$	−0.387667	−	1.27890i	−0.0598182	−	0.197338i
$43$	−0.0805092	+	0.0517401i	−0.0122775	+	0.00789029i	−0.546765	−	0.837286i	$-0.684141\pi$
$43$	−0.0805092	+	0.0517401i	−0.0122775	+	0.00789029i	0.534488	+	0.845176i	$0.320505\pi$
$44$	1.91543	−	4.39554i	0.288761	−	0.662653i
$45$			2.11772i			0.315691i
$46$	−6.09072	−	2.98380i	−0.898028	−	0.439938i
$47$		−	8.69679i		−	1.26856i	−0.773104	−	0.634279i	$-0.781297\pi$
$47$		−	8.69679i		−	1.26856i	0.773104	−	0.634279i	$-0.218703\pi$
$48$	3.97673	+	0.430799i	0.573992	+	0.0621804i
$49$	−5.13759	+	3.30173i	−0.733942	+	0.471676i
$50$	−0.697349	+	0.211385i	−0.0986201	+	0.0298943i
$51$	−1.81544	−	3.97526i	−0.254213	−	0.556648i
$52$	0.402579	+	2.49073i	0.0558276	+	0.345402i
$53$	−1.54947	−	5.27701i	−0.212836	−	0.724853i	−0.994829	−	0.101565i	$-0.967615\pi$
$53$	−1.54947	−	5.27701i	−0.212836	−	0.724853i	0.781993	−	0.623287i	$-0.214203\pi$
$54$	1.29149	+	0.576242i	0.175749	+	0.0784167i
$55$	−4.61818	−	2.10905i	−0.622715	−	0.284384i
$56$	0.449458	+	2.63466i	0.0600613	+	0.352071i
$57$	−0.807039	+	0.699303i	−0.106895	+	0.0926249i
$58$	1.06086	−	1.24609i	0.139298	−	0.163620i
$59$	0.486244	−	1.65600i	0.0633036	−	0.215592i	−0.921767	−	0.387745i	$-0.873254\pi$
$59$	0.486244	−	1.65600i	0.0633036	−	0.215592i	0.985070	+	0.172153i	$0.0550723\pi$
$60$	0.529542	−	4.20221i	0.0683635	−	0.542503i
$61$	−4.23592	+	6.59122i	−0.542354	+	0.843920i	−0.998953	−	0.0457532i	$-0.985431\pi$
$61$	−4.23592	+	6.59122i	−0.542354	+	0.843920i	0.456599	+	0.889673i	$0.349068\pi$
$62$	−8.72622	+	4.07749i	−1.10823	+	0.517842i
$63$	−0.134480	+	0.935332i	−0.0169429	+	0.117841i
$64$	−7.78334	−	1.84923i	−0.972917	−	0.231154i
$65$	2.64437	−	0.380203i	0.327994	−	0.0471584i
$66$	−2.54283	+	2.24251i	−0.313001	+	0.276034i
$67$	3.69124	−	4.25992i	0.450957	−	0.520432i	−0.484060	−	0.875035i	$-0.660838\pi$
$67$	3.69124	−	4.25992i	0.450957	−	0.520432i	0.935017	+	0.354603i	$0.115384\pi$
$68$	2.60837	+	8.34210i	0.316311	+	1.01163i
$69$	3.00866	+	3.73469i	0.362200	+	0.449604i
$70$	2.79762	−	0.427175i	0.334379	−	0.0510572i
$71$	7.09378	+	6.14680i	0.841877	+	0.729491i	0.964817	−	0.262924i	$-0.0846867\pi$
$71$	7.09378	+	6.14680i	0.841877	+	0.729491i	−0.122940	+	0.992414i	$0.539232\pi$
$72$	−2.41862	−	1.46638i	−0.285037	−	0.172815i
$73$	1.48957	+	10.3602i	0.174341	+	1.21257i	0.869582	+	0.493789i	$0.164389\pi$
$73$	1.48957	+	10.3602i	0.174341	+	1.21257i	−0.695241	+	0.718777i	$0.744702\pi$
$74$	−4.63572	−	7.07683i	−0.538891	−	0.822665i
$75$	0.510012	+	0.0733287i	0.0588911	+	0.00846727i
$76$	1.77627	−	1.18583i	0.203753	−	0.136024i
$77$	−1.90578	−	1.22477i	−0.217183	−	0.139575i
$78$	0.487680	−	1.71612i	0.0552189	−	0.194312i
$79$	9.71695	+	2.85315i	1.09324	+	0.321005i	0.778164	−	0.628061i	$-0.216151\pi$
$79$	9.71695	+	2.85315i	1.09324	+	0.321005i	0.315078	+	0.949066i	$0.397969\pi$
$80$	−2.10155	+	8.20606i	−0.234960	+	0.917465i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	1.79456	−	13.3042i	0.198175	−	1.46920i
$83$	−1.70125	+	3.72522i	−0.186737	+	0.408896i	−0.979727	−	0.200338i	$-0.935796\pi$
$83$	−1.70125	+	3.72522i	−0.186737	+	0.408896i	0.792990	+	0.609234i	$0.208523\pi$
$84$	0.500733	−	1.82236i	0.0546344	−	0.198836i
$85$	8.87996	−	2.60739i	0.963167	−	0.282811i
$86$	−0.135337	+	0.00118053i	−0.0145938	+	0.000127300i
$87$	−1.05262	+	0.480714i	−0.112852	+	0.0515379i
$88$	5.60650	−	3.81398i	0.597655	−	0.406572i
$89$	−2.71733	−	4.22824i	−0.288036	−	0.448193i	0.666839	−	0.745202i	$-0.267647\pi$
$89$	−2.71733	−	4.22824i	−0.288036	−	0.448193i	−0.954875	+	0.297009i	$0.904011\pi$
$90$	−1.59713	+	2.53351i	−0.168353	+	0.267055i
$91$	1.19208			0.124964
$92$	−5.03624	−	8.16310i	−0.525064	−	0.851063i
$93$	6.81076			0.706243
$94$	6.55890	−	10.4043i	0.676499	−	1.07312i
$95$	−1.22263	−	1.90245i	−0.125439	−	0.195187i
$96$	4.43261	+	3.51453i	0.452402	+	0.358701i
$97$	−11.2803	+	5.15155i	−1.14534	+	0.523061i	−0.895428	−	0.445207i	$-0.853130\pi$
$97$	−11.2803	+	5.15155i	−1.14534	+	0.523061i	−0.249915	+	0.968268i	$0.580403\pi$
$98$	−8.63637	+	0.0753342i	−0.872405	+	0.00760990i
$99$	2.30027	−	0.675419i	0.231185	−	0.0678822i
$100$	−0.993685	−	0.273037i	−0.0993685	−	0.0273037i
$101$	6.17325	−	13.5175i	0.614262	−	1.34505i	−0.305359	−	0.952237i	$-0.598776\pi$
$101$	6.17325	−	13.5175i	0.614262	−	1.34505i	0.919620	−	0.392808i	$-0.128496\pi$
$102$	0.826166	−	6.12491i	0.0818027	−	0.606457i
$103$	10.2319	+	11.8083i	1.00818	+	1.16350i	0.986504	+	0.163738i	$0.0523553\pi$
$103$	10.2319	+	11.8083i	1.00818	+	1.16350i	0.0216776	+	0.999765i	$0.493099\pi$
$104$	−1.39683	+	3.28336i	−0.136970	+	0.321960i
$105$	−1.92008	−	0.563787i	−0.187381	−	0.0550199i
$106$	2.12610	−	7.48164i	0.206505	−	0.726681i
$107$	9.28354	+	5.96617i	0.897474	+	0.576771i	0.906040	−	0.423192i	$-0.139090\pi$
$107$	9.28354	+	5.96617i	0.897474	+	0.576771i	−0.00856615	+	0.999963i	$0.502727\pi$
$108$	1.11047	+	1.66339i	0.106855	+	0.160060i
$109$	14.2719	+	2.05199i	1.36700	+	0.196545i	0.786438	−	0.617669i	$-0.211923\pi$
$109$	14.2719	+	2.05199i	1.36700	+	0.196545i	0.580564	+	0.814214i	$0.302832\pi$
$110$	−3.93430	−	6.00605i	−0.375121	−	0.572654i
$111$	0.851344	+	5.92122i	0.0808060	+	0.562018i
$112$	−1.44929	+	3.49091i	−0.136945	+	0.329860i
$113$	−7.92033	−	6.86301i	−0.745082	−	0.645618i	0.197228	−	0.980358i	$-0.436806\pi$
$113$	−7.92033	−	6.86301i	−0.745082	−	0.645618i	−0.942311	+	0.334740i	$0.891351\pi$
$114$	−1.49289	+	0.227953i	−0.139822	+	0.0213497i
$115$	−8.73530	+	5.18108i	−0.814571	+	0.483138i
$116$	2.20892	−	0.690674i	0.205093	−	0.0641275i
$117$	−0.826125	+	0.953399i	−0.0763752	+	0.0881417i
$118$	1.83062	−	1.61441i	0.168522	−	0.148619i
$119$	4.08758	−	0.587705i	0.374708	−	0.0538748i
$120$	3.80271	−	4.62789i	0.347138	−	0.422466i
$121$	0.747521	−	5.19912i	0.0679564	−	0.472647i
$122$	−10.0385	+	4.69069i	−0.908845	+	0.424675i
$123$	−5.13214	+	7.98576i	−0.462749	+	0.720052i
$124$	−13.5146	−	1.70305i	−1.21365	−	0.152938i
$125$	−3.29057	+	11.2067i	−0.294318	+	1.00235i
$126$	−0.866288	+	1.01755i	−0.0771751	+	0.0906505i
$127$	−5.24764	+	4.54711i	−0.465653	+	0.403490i	−0.855836	−	0.517247i	$-0.826957\pi$
$127$	−5.24764	+	4.54711i	−0.465653	+	0.403490i	0.390184	+	0.920737i	$0.372412\pi$
$128$	−7.91684	−	8.08230i	−0.699757	−	0.714381i
$129$	0.0870531	+	0.0397558i	0.00766460	+	0.00350030i
$130$	3.45029	+	1.53947i	0.302611	+	0.135020i
$131$	3.70643	+	12.6229i	0.323832	+	1.10287i	0.947120	+	0.320879i	$0.103978\pi$
$131$	3.70643	+	12.6229i	0.323832	+	1.10287i	−0.623288	+	0.781992i	$0.714204\pi$
$132$	−4.73332	+	0.765051i	−0.411983	+	0.0665892i
$133$	−0.419187	−	0.917891i	−0.0363481	−	0.0795912i
$134$	7.62869	−	2.31245i	0.659019	−	0.199766i
$135$	1.78154	−	1.14493i	0.153331	−	0.0985396i
$136$	−3.17092	+	11.9471i	−0.271904	+	1.02446i
$137$			12.3931i			1.05882i	0.848367	+	0.529409i	$0.177586\pi$
$137$			12.3931i			1.05882i	−0.848367	+	0.529409i	$0.822414\pi$
$138$	0.782758	+	6.73701i	0.0666328	+	0.573492i
$139$		−	9.48885i		−	0.804833i	−0.915457	−	0.402417i	$-0.868170\pi$
$139$		−	9.48885i		−	0.804833i	0.915457	−	0.402417i	$-0.131830\pi$
$140$	3.66905	+	1.59885i	0.310092	+	0.135127i
$141$	−7.31621	+	4.70184i	−0.616136	+	0.395966i
$142$	3.85078	+	12.7036i	0.323151	+	1.06606i
$143$	−1.25636	−	2.75105i	−0.105062	−	0.230054i
$144$	−1.78757	−	3.57835i	−0.148964	−	0.298196i
$145$	−0.690415	−	2.35134i	−0.0573358	−	0.195268i
$146$	−6.03136	+	13.5176i	−0.499159	+	1.11873i
$147$	5.55519	+	2.53697i	0.458184	+	0.209246i
$148$	−0.208710	−	11.9624i	−0.0171558	−	0.983304i
$149$	16.9975	−	14.7284i	1.39249	−	1.20660i	0.441548	−	0.897237i	$-0.354429\pi$
$149$	16.9975	−	14.7284i	1.39249	−	1.20660i	0.950944	−	0.309364i	$-0.100116\pi$
$150$	0.554843	+	0.472364i	0.0453028	+	0.0385684i
$151$	1.96367	−	6.68765i	0.159801	−	0.544233i	−0.840197	−	0.542282i	$-0.817561\pi$
$151$	1.96367	−	6.68765i	0.159801	−	0.544233i	0.999998	−	0.00195169i	$-0.000621242\pi$
$152$	3.01934	−	0.0790283i	0.244901	−	0.00641004i
$153$	−2.36270	+	3.67644i	−0.191013	+	0.297222i
$154$	−1.35626	−	2.90252i	−0.109291	−	0.233892i
$155$	−2.05265	+	14.2765i	−0.164873	+	1.14671i
$156$	1.87768	−	1.68526i	0.150335	−	0.134929i
$157$	17.8000	−	2.55925i	1.42059	−	0.204250i	0.611181	−	0.791491i	$-0.290695\pi$
$157$	17.8000	−	2.55925i	1.42059	−	0.204250i	0.809412	+	0.587241i	$0.199786\pi$
$158$	9.47296	+	10.7416i	0.753628	+	0.854557i
$159$	−3.60159	+	4.15646i	−0.285625	+	0.329629i
$160$	−8.70296	+	8.23227i	−0.688029	+	0.650818i
$161$	−4.18712	+	1.73361i	−0.329992	+	0.136628i
$162$	−0.213466	−	1.39801i	−0.0167715	−	0.109838i
$163$	−10.3279	−	8.94914i	−0.808940	−	0.700950i	0.148711	−	0.988881i	$-0.452487\pi$
$163$	−10.3279	−	8.94914i	−0.808940	−	0.700950i	−0.957651	+	0.287930i	$0.907033\pi$
$164$	12.1806	−	14.5629i	0.951145	−	1.13717i
$165$	0.722529	+	5.02530i	0.0562488	+	0.391219i
$166$	−4.84474	+	3.17357i	−0.376024	+	0.246317i
$167$	−18.9515	−	2.72481i	−1.46651	−	0.210852i	−0.637657	−	0.770321i	$-0.720096\pi$
$167$	−18.9515	−	2.72481i	−1.46651	−	0.210852i	−0.828852	+	0.559469i	$0.811005\pi$
$168$	1.97342	−	1.80251i	0.152253	−	0.139067i
$169$	−9.59748	−	6.16793i	−0.738268	−	0.474456i
$170$	12.5898	+	3.57773i	0.965597	+	0.274399i
$171$	1.02461	+	0.300852i	0.0783538	+	0.0230068i
$172$	−0.162799	−	0.100656i	−0.0124133	−	0.00767492i
$173$	13.5355	+	15.6208i	1.02908	+	1.18763i	0.982028	+	0.188733i	$0.0604382\pi$
$173$	13.5355	+	15.6208i	1.02908	+	1.18763i	0.0470551	+	0.998892i	$0.485016\pi$
$174$	−1.62182	−	0.218762i	−0.122950	−	0.0165843i
$175$	−0.202262	+	0.442893i	−0.0152896	+	0.0334795i
$176$	9.58367	−	0.334517i	0.722396	−	0.0252151i
$177$	−1.65600	+	0.486244i	−0.124472	+	0.0365484i
$178$	−0.0620001	−	7.10774i	−0.00464710	−	0.532747i
$179$	23.8673	−	10.8998i	1.78392	−	0.814690i	0.810478	−	0.585770i	$-0.199208\pi$
$179$	23.8673	−	10.8998i	1.78392	−	0.814690i	0.973445	−	0.228921i	$-0.0735196\pi$
$180$	−3.82141	+	1.82641i	−0.284831	+	0.136132i
$181$	3.64083	+	5.66525i	0.270621	+	0.421094i	0.949790	−	0.312887i	$-0.101296\pi$
$181$	3.64083	+	5.66525i	0.270621	+	0.421094i	−0.679169	+	0.733982i	$0.737660\pi$
$182$	1.42613	+	0.899037i	0.105712	+	0.0666411i
$183$	7.83500			0.579180
$184$	0.131375	−	13.5640i	0.00968507	−	0.999953i
$185$	−12.6685			−0.931403
$186$	8.14795	+	5.13650i	0.597437	+	0.376627i
$187$	−5.66429	−	8.81380i	−0.414214	−	0.644529i
$188$	15.6933	−	7.50046i	1.14455	−	0.547027i
$189$	0.859557	−	0.392546i	0.0625236	−	0.0285536i
$190$	−0.0278962	−	3.19804i	−0.00202380	−	0.232010i
$191$	5.27688	−	1.54943i	0.381821	−	0.112113i	−0.0851887	−	0.996365i	$-0.527149\pi$
$191$	5.27688	−	1.54943i	0.381821	−	0.112113i	0.467010	+	0.884252i	$0.345331\pi$
$192$	2.65232	+	7.54753i	0.191415	+	0.544696i
$193$	1.62304	−	3.55397i	0.116829	−	0.255820i	−0.842179	−	0.539197i	$-0.818728\pi$
$193$	1.62304	−	3.55397i	0.116829	−	0.255820i	0.959008	+	0.283377i	$0.0914549\pi$
$194$	−17.3802	−	2.34435i	−1.24783	−	0.168315i
$195$	−1.74950	−	2.01903i	−0.125284	−	0.144586i
$196$	−10.3888	−	6.42321i	−0.742058	−	0.458801i
$197$	1.52408	+	0.447509i	0.108586	+	0.0318837i	0.335574	−	0.942014i	$-0.391070\pi$
$197$	1.52408	+	0.447509i	0.108586	+	0.0318837i	−0.226988	+	0.973898i	$0.572888\pi$
$198$	3.26128	+	0.926775i	0.231769	+	0.0658631i
$199$	18.0798	+	11.6192i	1.28164	+	0.823661i	0.991089	−	0.133199i	$-0.0425249\pi$
$199$	18.0798	+	11.6192i	1.28164	+	0.823661i	0.290551	+	0.956859i	$0.406161\pi$
$200$	−0.982864	−	1.07606i	−0.0694990	−	0.0760886i
$201$	−5.57931	−	0.802184i	−0.393534	−	0.0565817i
$202$	17.5799	−	11.5158i	1.23692	−	0.810249i
$203$	−0.155619	−	1.08236i	−0.0109223	−	0.0759665i
$204$	5.60763	−	6.70438i	0.392613	−	0.469400i
$205$	−15.1927	−	13.1646i	−1.06111	−	0.919455i
$206$	3.33532	+	21.8433i	0.232382	+	1.52190i
$207$	1.51522	−	4.55018i	0.105315	−	0.316259i
$208$	−4.14731	+	2.87455i	−0.287564	+	0.199315i
$209$	−1.67649	+	1.93478i	−0.115965	+	0.133831i
$210$	−1.87187	−	2.12256i	−0.129171	−	0.146470i
$211$	−4.28485	+	0.616068i	−0.294981	+	0.0424119i	−0.288217	−	0.957565i	$-0.593062\pi$
$211$	−4.28485	+	0.616068i	−0.294981	+	0.0424119i	−0.00676454	+	0.999977i	$0.502153\pi$
$212$	8.18600	−	7.34711i	0.562217	−	0.504601i
$213$	1.33583	−	9.29088i	0.0915293	−	0.636600i
$214$	6.60670	+	14.1390i	0.451625	+	0.966520i
$215$	−0.109571	+	0.170496i	−0.00747269	+	0.0116277i
$216$	0.0740059	+	2.82746i	0.00503546	+	0.192384i
$217$	−1.81318	+	6.17513i	−0.123087	+	0.419195i
$218$	15.5265	+	13.2184i	1.05158	+	0.895263i
$219$	7.91021	−	6.85423i	0.534522	−	0.463166i
$220$	−0.177130	−	10.1524i	−0.0119421	−	0.684475i
$221$	5.01490	+	2.29023i	0.337339	+	0.154058i
$222$	−3.44715	+	7.72584i	−0.231357	+	0.518524i
$223$	−3.80683	−	12.9649i	−0.254924	−	0.868192i	−0.983142	−	0.182846i	$-0.941469\pi$
$223$	−3.80683	−	12.9649i	−0.254924	−	0.868192i	0.728218	−	0.685346i	$-0.240349\pi$
$224$	−4.36660	+	3.08328i	−0.291756	+	0.206010i
$225$	−0.214045	−	0.468694i	−0.0142697	−	0.0312463i
$226$	−4.29947	−	14.1838i	−0.285997	−	0.943491i
$227$	−2.15696	+	1.38620i	−0.143163	+	0.0920050i	−0.610261	−	0.792200i	$-0.708936\pi$
$227$	−2.15696	+	1.38620i	−0.143163	+	0.0920050i	0.467099	+	0.884205i	$0.345299\pi$
$228$	−1.95791	−	0.853190i	−0.129666	−	0.0565039i
$229$		−	8.47104i		−	0.559782i	−0.960032	−	0.279891i	$-0.909702\pi$
$229$		−	8.47104i		−	0.559782i	0.960032	−	0.279891i	$-0.0902983\pi$
$230$	−14.3578	−	0.389631i	−0.946725	−	0.0256915i
$231$			2.26540i			0.149052i
$232$	3.16350	+	0.839632i	0.207694	+	0.0551245i
$233$	−13.4761	+	8.66059i	−0.882852	+	0.567374i	−0.901658	−	0.432449i	$-0.857650\pi$
$233$	−13.4761	+	8.66059i	−0.882852	+	0.567374i	0.0188069	+	0.999823i	$0.494013\pi$
$234$	−1.70735	+	0.517542i	−0.111613	+	0.0338328i
$235$	−7.65086	−	16.7530i	−0.499087	−	1.09285i
$236$	3.40759	−	0.550772i	0.221815	−	0.0358522i
$237$	−2.85315	−	9.71695i	−0.185332	−	0.631184i
$238$	5.33335	+	2.37966i	0.345710	+	0.154250i
$239$	−4.27578	−	1.95268i	−0.276577	−	0.126309i	0.272298	−	0.962213i	$-0.412216\pi$
$239$	−4.27578	−	1.95268i	−0.276577	−	0.126309i	−0.548875	+	0.835904i	$0.684944\pi$
$240$	8.03956	−	2.66860i	0.518951	−	0.172257i
$241$	3.35690	−	2.90877i	0.216237	−	0.187370i	−0.540006	−	0.841661i	$-0.681578\pi$
$241$	3.35690	−	2.90877i	0.216237	−	0.187370i	0.756243	+	0.654291i	$0.227033\pi$
$242$	4.81533	−	5.65613i	0.309541	−	0.363590i
$243$	−0.281733	+	0.959493i	−0.0180732	+	0.0615515i
$244$	−15.5470	−	1.95916i	−0.995298	−	0.125423i
$245$	−6.99215	+	10.8800i	−0.446712	+	0.695097i
$246$	−12.1624	+	5.68313i	−0.775448	+	0.362343i
$247$	0.191718	−	1.33343i	0.0121987	−	0.0848441i
$248$	−14.8836	−	12.2298i	−0.945112	−	0.776594i
$249$	4.05362	−	0.582823i	0.256888	−	0.0369349i
$250$	−12.3884	+	10.9253i	−0.783512	+	0.690975i
$251$	−15.4841	+	17.8696i	−0.977349	+	1.12792i	0.0144217	+	0.999896i	$0.495409\pi$
$251$	−15.4841	+	17.8696i	−0.977349	+	1.12792i	−0.991771	+	0.128025i	$0.959136\pi$
$252$	−1.80378	+	0.563998i	−0.113628	+	0.0355286i
$253$	8.41369	+	7.83583i	0.528964	+	0.492635i
$254$	−9.70726	+	1.48223i	−0.609087	+	0.0930032i
$255$	−6.99434	−	6.06063i	−0.438003	−	0.379532i
$256$	−3.37574	−	15.6398i	−0.210984	−	0.977490i
$257$	0.390049	+	2.71285i	0.0243306	+	0.169223i	0.998364	−	0.0571824i	$-0.0182117\pi$
$257$	0.390049	+	2.71285i	0.0243306	+	0.169223i	−0.974033	+	0.226405i	$0.927303\pi$
$258$	0.0741619	+	0.113215i	0.00461712	+	0.00704843i
$259$	−5.59526	−	0.804477i	−0.347673	−	0.0499878i
$260$	2.96668	+	4.44385i	0.183986	+	0.275596i
$261$	0.973489	+	0.625624i	0.0602575	+	0.0387251i
$262$	−5.08577	+	17.8966i	−0.314200	+	1.10565i
$263$	−13.7677	−	4.04255i	−0.848950	−	0.249274i	−0.171812	−	0.985130i	$-0.554962\pi$
$263$	−13.7677	−	4.04255i	−0.848950	−	0.249274i	−0.677138	+	0.735856i	$0.736780\pi$
$264$	−6.23963	−	2.65450i	−0.384023	−	0.163373i
$265$	−7.62717	−	8.80223i	−0.468533	−	0.540716i
$266$	0.190762	−	1.41425i	0.0116964	−	0.0867130i
$267$	−2.08793	+	4.57192i	−0.127779	+	0.279797i
$268$	10.8705	+	2.98690i	0.664020	+	0.182454i
$269$	14.8692	−	4.36600i	0.906593	−	0.266200i	0.204987	−	0.978765i	$-0.434285\pi$
$269$	14.8692	−	4.36600i	0.906593	−	0.266200i	0.701606	+	0.712565i	$0.252467\pi$
$270$	2.99480	−	0.0261233i	0.182257	−	0.00158981i
$271$	−2.17612	+	0.993803i	−0.132190	+	0.0603692i	−0.480412	−	0.877043i	$-0.659513\pi$
$271$	−2.17612	+	0.993803i	−0.132190	+	0.0603692i	0.348222	+	0.937412i	$0.386786\pi$
$272$	−12.8037	+	11.9013i	−0.776339	+	0.721625i
$273$	−0.644487	−	1.00284i	−0.0390061	−	0.0606947i
$274$	−9.34660	+	14.8264i	−0.564649	+	0.895693i
$275$	1.23526			0.0744893
$276$	−4.14444	+	8.65006i	−0.249466	+	0.520673i
$277$	−1.68672			−0.101345			−0.0506725	−	0.998715i	$-0.516136\pi$
$277$	−1.68672			−0.101345			−0.0506725	+	0.998715i	$0.516136\pi$
$278$	7.15625	−	11.3518i	0.429203	−	0.680839i
$279$	−3.68217	−	5.72957i	−0.220446	−	0.343021i
$280$	3.18361	+	4.67987i	0.190257	+	0.279676i
$281$	5.73410	−	2.61867i	0.342068	−	0.156217i	−0.236972	−	0.971516i	$-0.576155\pi$
$281$	5.73410	−	2.61867i	0.342068	−	0.156217i	0.579040	+	0.815299i	$0.303428\pi$
$282$	−12.2987	+	0.107280i	−0.732374	+	0.00638842i
$283$	−0.0167344	+	0.00491366i	−0.000994756	+	0.000292087i	−0.282230	−	0.959347i	$-0.591074\pi$
$283$	−0.0167344	+	0.00491366i	−0.000994756	+	0.000292087i	0.281235	+	0.959639i	$0.409256\pi$
$284$	−4.97390	+	18.1019i	−0.295147	+	1.07415i
$285$	−0.939436	+	2.05708i	−0.0556474	+	0.121851i
$286$	0.571742	−	4.23870i	0.0338078	−	0.250639i
$287$	−5.87418	−	6.77917i	−0.346742	−	0.400162i
$288$	0.560163	−	5.62905i	0.0330079	−	0.331695i
$289$	2.01355	+	0.591231i	0.118444	+	0.0347783i
$290$	0.947352	−	3.33368i	0.0556304	−	0.195761i
$291$	10.4324	+	6.70447i	0.611556	+	0.393023i
$292$	−17.4102	+	11.6229i	−1.01885	+	0.680181i
$293$	−19.0155	−	2.73401i	−1.11090	−	0.159723i	−0.437653	−	0.899144i	$-0.644190\pi$
$293$	−19.0155	−	2.73401i	−1.11090	−	0.159723i	−0.673243	+	0.739421i	$0.735099\pi$
$294$	4.73255	+	7.22465i	0.276008	+	0.421350i
$295$	−0.520159	−	3.61779i	−0.0302848	−	0.210636i
$296$	8.77206	−	14.4685i	0.509866	−	0.840962i
$297$	−1.81182	−	1.56995i	−0.105132	−	0.0910976i
$298$	31.4426	−	4.80105i	1.82142	−	0.278118i
$299$	−5.95378	−	1.07512i	−0.344316	−	0.0621759i
$300$	0.307534	+	0.983556i	0.0177555	+	0.0567856i
$301$	−0.0592211	+	0.0683448i	−0.00341345	+	0.00393933i
$302$	7.39287	−	6.51973i	0.425412	−	0.375168i
$303$	−14.7092	+	2.11486i	−0.845021	+	0.121496i
$304$	3.67175	+	2.18257i	0.210589	+	0.125179i
$305$	−2.36134	+	16.4235i	−0.135210	+	0.940405i
$306$	−5.59926	+	2.61636i	−0.320089	+	0.149567i
$307$	3.33371	−	5.18735i	0.190265	−	0.296058i	−0.732995	−	0.680234i	$-0.761878\pi$
$307$	3.33371	−	5.18735i	0.190265	−	0.296058i	0.923260	+	0.384176i	$0.125515\pi$
$308$	0.566469	−	4.49525i	0.0322776	−	0.256141i
$309$	4.40195	−	14.9917i	0.250418	−	0.852847i
$310$	−13.2226	+	15.5314i	−0.750994	+	0.882125i
$311$	2.81329	−	2.43773i	0.159527	−	0.138231i	−0.571440	−	0.820644i	$-0.693615\pi$
$311$	2.81329	−	2.43773i	0.159527	−	0.138231i	0.730967	+	0.682413i	$0.239070\pi$
$312$	3.51732	−	0.600035i	0.199129	−	0.0339703i
$313$	−16.7604	−	7.65424i	−0.947356	−	0.432643i	−0.119031	−	0.992891i	$-0.537979\pi$
$313$	−16.7604	−	7.65424i	−0.947356	−	0.432643i	−0.828325	+	0.560247i	$0.810706\pi$
$314$	23.2249	+	10.3626i	1.31066	+	0.584794i
$315$	0.563787	+	1.92008i	0.0317658	+	0.108184i
$316$	3.23179	+	19.9949i	0.181802	+	1.12480i
$317$	3.76295	+	8.23971i	0.211348	+	0.462788i	0.985383	−	0.170355i	$-0.0544915\pi$
$317$	3.76295	+	8.23971i	0.211348	+	0.462788i	−0.774034	+	0.633144i	$0.781764\pi$
$318$	−7.44342	+	2.25629i	−0.417406	+	0.126527i
$319$	−2.33382	+	1.49986i	−0.130669	+	0.0839758i
$320$	−16.6202	+	3.28500i	−0.929100	+	0.183637i
$321$		−	11.0354i		−	0.615934i
$322$	−6.31665	−	1.08384i	−0.352013	−	0.0604002i
$323$		−	4.66677i		−	0.259666i
$324$	0.798968	−	1.83348i	0.0443871	−	0.101860i
$325$	−0.546824	+	0.351422i	−0.0303323	+	0.0194934i
$326$	−5.60637	−	18.4952i	−0.310508	−	1.02435i
$327$	−5.98974	−	13.1157i	−0.331233	−	0.725300i
$328$	25.5551	−	8.23582i	1.41104	−	0.454747i
$329$	−2.31529	−	7.88515i	−0.127646	−	0.434722i
$330$	−2.92557	+	6.55686i	−0.161047	+	0.360943i
$331$	−27.5872	−	12.5987i	−1.51633	−	0.692486i	−0.528633	−	0.848851i	$-0.677295\pi$
$331$	−27.5872	−	12.5987i	−1.51633	−	0.692486i	−0.987699	+	0.156365i	$0.950022\pi$
$332$	−8.18936	+	0.142881i	−0.449450	+	0.00784160i
$333$	4.52098	−	3.91745i	0.247748	−	0.214675i
$334$	−20.6173	−	17.5525i	−1.12813	−	0.960431i
$335$	3.36302	−	11.4534i	0.183741	−	0.625766i
$336$	3.72029	−	0.668105i	0.202958	−	0.0364481i
$337$	−9.14708	+	14.2331i	−0.498273	+	0.775328i	−0.995745	−	0.0921521i	$-0.970625\pi$
$337$	−9.14708	+	14.2331i	−0.498273	+	0.775328i	0.497472	+	0.867480i	$0.334262\pi$
$338$	−6.83012	−	14.6171i	−0.371509	−	0.795065i
$339$	−1.49147	+	10.3734i	−0.0810058	+	0.563407i
$340$	12.3634	+	13.7751i	0.670502	+	0.747060i
$341$	16.1618	−	2.32371i	0.875208	−	0.125836i
$342$	0.998881	+	1.13266i	0.0540133	+	0.0612470i
$343$	−8.11080	+	9.36036i	−0.437942	+	0.505412i
$344$	−0.118850	−	0.243197i	−0.00640798	−	0.0131123i
$345$	9.08126	+	4.54750i	0.488919	+	0.244829i
$346$	4.41218	+	28.8958i	0.237200	+	1.55345i
$347$	−22.2012	−	19.2374i	−1.19182	−	1.03272i	−0.998670	−	0.0515488i	$-0.983584\pi$
$347$	−22.2012	−	19.2374i	−1.19182	−	1.03272i	−0.193150	−	0.981169i	$-0.561870\pi$
$348$	−1.77526	−	1.48485i	−0.0951641	−	0.0795965i
$349$	−0.283645	−	1.97280i	−0.0151832	−	0.105601i	0.980821	−	0.194913i	$-0.0624424\pi$
$349$	−0.283645	−	1.97280i	−0.0151832	−	0.105601i	−0.996004	+	0.0893116i	$0.971533\pi$
$350$	−0.575992	+	0.377307i	−0.0307881	+	0.0201679i
$351$	1.24869	+	0.179534i	0.0666500	+	0.00958282i
$352$	11.7176	+	6.82757i	0.624549	+	0.363911i
$353$	−19.5836	−	12.5856i	−1.04233	−	0.669864i	−0.0967675	−	0.995307i	$-0.530850\pi$
$353$	−19.5836	−	12.5856i	−1.04233	−	0.669864i	−0.945562	+	0.325443i	$0.894487\pi$
$354$	−2.34784	−	0.667199i	−0.124786	−	0.0354612i
$355$	19.0726	+	5.60023i	1.01227	+	0.297229i
$356$	5.28631	−	8.55000i	0.280174	−	0.453149i
$357$	−2.70432	−	3.12095i	−0.143128	−	0.165178i
$358$	36.7736	+	4.96026i	1.94355	+	0.262158i
$359$	10.5117	−	23.0173i	0.554785	−	1.21481i	−0.399726	−	0.916634i	$-0.630895\pi$
$359$	10.5117	−	23.0173i	0.554785	−	1.21481i	0.954511	−	0.298175i	$-0.0963778\pi$
$360$	−5.94913	−	0.697020i	−0.313547	−	0.0367362i
$361$	17.1362	−	5.03165i	0.901906	−	0.264824i
$362$	0.0830713	+	9.52336i	0.00436613	+	0.500537i
$363$	−4.77792	+	2.18200i	−0.250776	+	0.114525i
$364$	1.02810	+	2.15110i	0.0538869	+	0.112748i
$365$	11.9836	+	18.6469i	0.627251	+	0.976021i
$366$	9.37330	+	5.90896i	0.489950	+	0.308867i
$367$	28.7583			1.50117			0.750585	−	0.660774i	$-0.229772\pi$
$367$	28.7583			1.50117			0.750585	+	0.660774i	$0.229772\pi$
$368$	10.3868	−	16.1281i	0.541450	−	0.840733i
$369$	9.49270			0.494170
$370$	−15.1557	−	9.55423i	−0.787909	−	0.496701i
$371$	−2.80972	−	4.37202i	−0.145874	−	0.226984i
$372$	5.87387	+	12.2900i	0.304546	+	0.637205i
$373$	26.3663	−	12.0411i	1.36520	−	0.623465i	0.408021	−	0.912972i	$-0.366219\pi$
$373$	26.3663	−	12.0411i	1.36520	−	0.623465i	0.957176	+	0.289508i	$0.0934916\pi$
$374$	−0.129240	−	14.8161i	−0.00668282	−	0.766124i
$375$	11.2067	−	3.29057i	0.578710	−	0.169924i
$376$	24.4311	+	2.86243i	1.25994	+	0.147619i
$377$	0.606433	−	1.32790i	0.0312329	−	0.0683905i
$378$	1.32437	+	0.178639i	0.0681181	+	0.00918820i
$379$	23.9479	+	27.6374i	1.23012	+	1.41964i	0.874512	+	0.485003i	$0.161182\pi$
$379$	23.9479	+	27.6374i	1.23012	+	1.41964i	0.355611	+	0.934634i	$0.384273\pi$
$380$	2.37851	−	3.84697i	0.122015	−	0.197345i
$381$	6.66236	+	1.95624i	0.341323	+	0.100221i
$382$	7.48146	+	2.12605i	0.382785	+	0.108778i
$383$	−1.24968	−	0.803122i	−0.0638558	−	0.0410376i	0.508323	−	0.861166i	$-0.330265\pi$
$383$	−1.24968	−	0.803122i	−0.0638558	−	0.0410376i	−0.572179	+	0.820129i	$0.693902\pi$
$384$	−2.51909	+	11.0297i	−0.128552	+	0.562857i
$385$	−4.74866	−	0.682754i	−0.242014	−	0.0347964i
$386$	4.62202	−	3.02768i	0.235254	−	0.154105i
$387$	−0.0136197	−	0.0947273i	−0.000692330	−	0.00481526i
$388$	−19.0245	−	15.9124i	−0.965825	−	0.807828i
$389$	−14.1692	−	12.2777i	−0.718406	−	0.622503i	0.216961	−	0.976180i	$-0.430386\pi$
$389$	−14.1692	−	12.2777i	−0.718406	−	0.622503i	−0.935367	+	0.353678i	$0.884931\pi$
$390$	−0.570288	−	3.73487i	−0.0288776	−	0.189123i
$391$	−20.9452	−	0.751276i	−1.05925	−	0.0379937i
$392$	−7.58429	−	15.5193i	−0.383064	−	0.783843i
$393$	8.61524	−	9.94252i	0.434581	−	0.501534i
$394$	1.48581	+	1.68479i	0.0748539	+	0.0848786i
$395$	21.2282	−	3.05216i	1.06811	−	0.153571i
$396$	3.20263	+	3.56831i	0.160938	+	0.179314i
$397$	−3.93029	+	27.3358i	−0.197256	+	1.37194i	0.614948	+	0.788568i	$0.289177\pi$
$397$	−3.93029	+	27.3358i	−0.197256	+	1.37194i	−0.812203	+	0.583374i	$0.801732\pi$
$398$	12.8666	+	27.5357i	0.644944	+	1.38024i
$399$	−0.545550	+	0.848892i	−0.0273116	+	0.0424977i
$400$	−0.364301	−	2.02858i	−0.0182150	−	0.101429i
$401$	−10.1786	+	34.6652i	−0.508296	+	1.73110i	0.159920	+	0.987130i	$0.448877\pi$
$401$	−10.1786	+	34.6652i	−0.508296	+	1.73110i	−0.668216	+	0.743968i	$0.732942\pi$
$402$	−6.06974	−	5.16746i	−0.302731	−	0.257729i
$403$	−6.49337	+	5.62653i	−0.323458	+	0.280278i
$404$	29.7164	−	0.518465i	1.47845	−	0.0257946i
$405$	−1.92635	−	0.879733i	−0.0957210	−	0.0437143i
$406$	0.630113	−	1.41223i	0.0312720	−	0.0700876i
$407$	4.04043	+	13.7605i	0.200277	+	0.682080i
$408$	11.7649	−	3.79156i	0.582449	−	0.187710i
$409$	13.2429	+	28.9980i	0.654820	+	1.43386i	0.887271	+	0.461248i	$0.152598\pi$
$409$	13.2429	+	28.9980i	0.654820	+	1.43386i	−0.232451	+	0.972608i	$0.574674\pi$
$410$	−8.24722	−	27.2073i	−0.407301	−	1.34367i
$411$	10.4258	−	6.70024i	0.514266	−	0.330498i
$412$	−12.4835	+	28.6474i	−0.615019	+	1.41135i
$413$		−	1.63090i		−	0.0802512i
$414$	5.24434	−	4.30080i	0.257745	−	0.211373i
$415$			8.67271i			0.425727i
$416$	−7.12949	+	0.311138i	−0.349552	+	0.0152548i
$417$	−7.98252	+	5.13006i	−0.390906	+	0.251220i
$418$	−3.46481	+	1.05027i	−0.169469	+	0.0513705i
$419$	5.07324	+	11.1088i	0.247844	+	0.542703i	0.992138	−	0.125150i	$-0.0399411\pi$
$419$	5.07324	+	11.1088i	0.247844	+	0.542703i	−0.744294	+	0.667852i	$0.767214\pi$
$420$	−0.638604	−	3.95101i	−0.0311607	−	0.192789i
$421$	−8.05061	−	27.4179i	−0.392363	−	1.33626i	−0.884822	−	0.465929i	$-0.845720\pi$
$421$	−8.05061	−	27.4179i	−0.392363	−	1.33626i	0.492459	−	0.870335i	$-0.336098\pi$
$422$	−5.59074	−	2.49450i	−0.272153	−	0.121430i
$423$	7.91088	+	3.61278i	0.384640	+	0.175659i
$424$	15.3342	−	2.61593i	0.744695	−	0.127041i
$425$	−1.70177	+	1.47460i	−0.0825482	+	0.0715284i
$426$	8.60505	−	10.1076i	0.416916	−	0.489713i
$427$	−2.08586	+	7.10379i	−0.100942	+	0.343776i
$428$	−2.75942	+	21.8976i	−0.133382	+	1.05846i
$429$	−1.63509	+	2.54425i	−0.0789429	+	0.122838i
$430$	−0.259668	+	0.121335i	−0.0125223	+	0.00585128i
$431$	−0.323258	+	2.24831i	−0.0155708	+	0.108297i	−0.996125	−	0.0879531i	$-0.971967\pi$
$431$	−0.323258	+	2.24831i	−0.0155708	+	0.108297i	0.980554	+	0.196250i	$0.0628765\pi$
$432$	−2.04386	+	3.43840i	−0.0983354	+	0.165430i
$433$	24.1866	−	3.47750i	1.16233	−	0.167118i	0.465964	−	0.884804i	$-0.345708\pi$
$433$	24.1866	−	3.47750i	1.16233	−	0.167118i	0.696367	+	0.717686i	$0.254798\pi$
$434$	−6.82630	+	6.02007i	−0.327673	+	0.288973i
$435$	−1.60480	+	1.85204i	−0.0769445	+	0.0887986i
$436$	8.60587	+	27.5233i	0.412146	+	1.31813i
$437$	1.26577	+	4.96241i	0.0605500	+	0.237384i
$438$	14.6326	−	2.23429i	0.699171	−	0.106758i
$439$	30.4256	+	26.3640i	1.45214	+	1.25828i	0.907792	+	0.419421i	$0.137767\pi$
$439$	30.4256	+	26.3640i	1.45214	+	1.25828i	0.544344	+	0.838862i	$0.316779\pi$
$440$	7.44478	−	12.2793i	0.354916	−	0.585392i
$441$	−0.869127	−	6.04491i	−0.0413870	−	0.287853i
$442$	4.27228	+	6.52200i	0.203211	+	0.310220i
$443$	−25.8133	−	3.71139i	−1.22642	−	0.176333i	−0.501498	−	0.865159i	$-0.667217\pi$
$443$	−25.8133	−	3.71139i	−1.22642	−	0.176333i	−0.724927	+	0.688826i	$0.758127\pi$
$444$	−9.95058	+	6.64294i	−0.472234	+	0.315260i
$445$	−8.95424	−	5.75454i	−0.424472	−	0.272791i
$446$	5.22353	−	18.3814i	0.247342	−	0.870382i
$447$	−21.5799	−	6.33644i	−1.02070	−	0.299703i
$448$	−7.54925	+	0.395459i	−0.356669	+	0.0186837i
$449$	23.8128	+	27.4814i	1.12379	+	1.29693i	0.950037	+	0.312139i	$0.101045\pi$
$449$	23.8128	+	27.4814i	1.12379	+	1.29693i	0.173757	+	0.984789i	$0.444409\pi$
$450$	0.0974072	−	0.722143i	0.00459182	−	0.0340422i
$451$	−9.45384	+	20.7010i	−0.445164	+	0.974773i
$452$	5.55345	−	20.2111i	0.261212	−	0.950651i
$453$	−6.68765	+	1.96367i	−0.314213	+	0.0922613i
$454$	−3.62589	+	0.0316282i	−0.170171	+	0.00148439i
$455$	2.29636	−	1.04871i	0.107655	−	0.0491644i
$456$	−1.69886	−	2.49731i	−0.0795566	−	0.116947i
$457$	−17.1307	−	26.6558i	−0.801339	−	1.24691i	−0.965482	−	0.260471i	$-0.916122\pi$
$457$	−17.1307	−	26.6558i	−0.801339	−	1.24691i	0.164143	−	0.986437i	$-0.447514\pi$
$458$	6.38865	−	10.1342i	0.298522	−	0.473540i
$459$	4.37019			0.203983
$460$	−16.8829	−	11.2944i	−0.787169	−	0.526605i
$461$	−17.2187			−0.801953			−0.400976	−	0.916088i	$-0.631329\pi$
$461$	−17.2187			−0.801953			−0.400976	+	0.916088i	$0.631329\pi$
$462$	−1.70851	+	2.71018i	−0.0794871	+	0.126089i
$463$	−1.48418	−	2.30942i	−0.0689756	−	0.107328i	0.805052	−	0.593204i	$-0.202137\pi$
$463$	−1.48418	−	2.30942i	−0.0689756	−	0.107328i	−0.874028	+	0.485876i	$0.838501\pi$
$464$	3.15137	+	3.39031i	0.146299	+	0.157391i
$465$	13.1199	−	5.99165i	0.608420	−	0.277856i
$466$	−22.6536	+	0.197605i	−1.04941	+	0.00915387i
$467$	16.8042	−	4.93416i	0.777606	−	0.228326i	0.131237	−	0.991351i	$-0.458105\pi$
$467$	16.8042	−	4.93416i	0.777606	−	0.228326i	0.646369	+	0.763025i	$0.276287\pi$
$468$	−2.43288	−	0.668488i	−0.112460	−	0.0309009i
$469$	2.21266	−	4.84505i	0.102171	−	0.223724i
$470$	3.48173	−	25.8124i	0.160600	−	1.19063i
$471$	−11.7764	−	13.5907i	−0.542627	−	0.626225i
$472$	4.49200	+	1.91101i	0.206761	+	0.0879615i
$473$	0.220139	+	0.0646386i	0.0101220	+	0.00297208i
$474$	3.91495	−	13.7765i	0.179820	−	0.632777i
$475$	0.462879	+	0.297474i	0.0212383	+	0.0136490i
$476$	4.58580	+	6.86915i	0.210190	+	0.314847i
$477$	5.44381	+	0.782701i	0.249255	+	0.0358374i
$478$	−3.64260	−	5.56075i	−0.166609	−	0.254343i
$479$	3.16696	+	22.0267i	0.144702	+	1.00643i	0.924715	+	0.380661i	$0.124304\pi$
$479$	3.16696	+	22.0267i	0.144702	+	1.00643i	−0.780012	+	0.625764i	$0.784787\pi$
$480$	11.6306	+	2.87070i	0.530862	+	0.131029i
$481$	−5.70334	−	4.94197i	−0.260050	−	0.225335i
$482$	6.20970	−	0.948176i	0.282844	−	0.0431882i
$483$	3.72214	+	2.58517i	0.169363	+	0.117629i
$484$	10.0265	−	3.13503i	0.455749	−	0.142501i
$485$	−17.1978	+	19.8473i	−0.780913	+	0.901222i
$486$	−1.06067	+	0.935400i	−0.0481131	+	0.0424306i
$487$	23.0005	−	3.30697i	1.04225	−	0.149853i	0.400131	−	0.916458i	$-0.368965\pi$
$487$	23.0005	−	3.30697i	1.04225	−	0.149853i	0.642119	+	0.766605i	$0.278055\pi$
$488$	−17.1219	−	14.0690i	−0.775074	−	0.636874i
$489$	−1.94483	+	13.5266i	−0.0879484	+	0.611695i
$490$	−16.5704	+	7.74282i	−0.748573	+	0.349785i
$491$	−4.08591	+	6.35780i	−0.184395	+	0.286924i	−0.921128	−	0.389260i	$-0.872731\pi$
$491$	−4.08591	+	6.35780i	−0.184395	+	0.286924i	0.736733	+	0.676183i	$0.236367\pi$
$492$	−18.8364	−	2.37367i	−0.849211	−	0.107013i
$493$	1.42476	−	4.85229i	0.0641679	−	0.218536i
$494$	1.23500	−	1.45064i	0.0555652	−	0.0652674i
$495$	3.83692	−	3.32471i	0.172457	−	0.149435i
$496$	−8.58242	−	25.8558i	−0.385362	−	1.16096i
$497$	8.06816	+	3.68461i	0.361906	+	0.165277i
$498$	5.28904	+	2.35989i	0.237008	+	0.105749i
$499$	2.60488	+	8.87140i	0.116610	+	0.397138i	0.997026	−	0.0770642i	$-0.0245546\pi$
$499$	2.60488	+	8.87140i	0.116610	+	0.397138i	−0.880416	+	0.474202i	$0.842736\pi$
$500$	−23.0603	+	3.72725i	−1.03129	+	0.166688i
$501$	7.95368	+	17.4161i	0.355344	+	0.778095i
$502$	−32.0010	+	9.70034i	−1.42828	+	0.432947i
$503$	−2.87051	+	1.84477i	−0.127990	+	0.0822540i	−0.603069	−	0.797689i	$-0.706056\pi$
$503$	−2.87051	+	1.84477i	−0.127990	+	0.0822540i	0.475079	+	0.879943i	$0.342419\pi$
$504$	−2.58328	−	0.685636i	−0.115069	−	0.0305407i
$505$		−	31.4703i		−	1.40041i
$506$	4.15601	+	15.7197i	0.184757	+	0.698825i
$507$			11.4085i			0.506671i
$508$	−12.7310	−	5.54773i	−0.564847	−	0.246141i
$509$	−1.14250	+	0.734243i	−0.0506406	+	0.0325447i	−0.565716	−	0.824600i	$-0.691400\pi$
$509$	−1.14250	+	0.734243i	−0.0506406	+	0.0325447i	0.515076	+	0.857145i	$0.327764\pi$
$510$	−3.79681	−	12.5255i	−0.168125	−	0.554639i
$511$	4.10867	+	8.99673i	0.181757	+	0.397992i
$512$	7.75666	−	21.2564i	0.342799	−	0.939409i
$513$	−0.300852	−	1.02461i	−0.0132830	−	0.0452376i
$514$	−1.57934	+	3.53965i	−0.0696615	+	0.156127i
$515$	30.0984	+	13.7455i	1.32629	+	0.605697i
$516$	0.00333892	+	0.191374i	0.000146988	+	0.00842476i
$517$	−15.7570	+	13.6535i	−0.692992	+	0.600481i
$518$	−6.08710	−	5.18223i	−0.267452	−	0.227694i
$519$	5.82320	−	19.8320i	0.255610	−	0.870528i
$520$	0.197711	+	7.55373i	0.00867022	+	0.331253i
$521$	19.6409	−	30.5618i	0.860484	−	1.33894i	−0.0791877	−	0.996860i	$-0.525233\pi$
$521$	19.6409	−	30.5618i	0.860484	−	1.33894i	0.939671	−	0.342079i	$-0.111131\pi$
$522$	0.692791	+	1.48264i	0.0303226	+	0.0648933i
$523$	2.68178	−	18.6522i	0.117266	−	0.815604i	−0.843278	−	0.537477i	$-0.819377\pi$
$523$	2.68178	−	18.6522i	0.117266	−	0.815604i	0.960544	−	0.278127i	$-0.0897136\pi$
$524$	−19.5814	+	17.5747i	−0.855419	+	0.767756i
$525$	0.481936	−	0.0692920i	0.0210334	−	0.00302415i
$526$	−13.4220	−	15.2195i	−0.585225	−	0.663600i
$527$	−19.4915	+	22.4944i	−0.849062	+	0.979869i
$528$	−5.46274	−	7.88144i	−0.237735	−	0.342996i
$529$	22.4759	−	4.88211i	0.977212	−	0.212266i
$530$	−2.48624	−	16.2826i	−0.107995	−	0.707273i
$531$	1.30435	+	1.13023i	0.0566041	+	0.0490478i
$532$	1.29481	−	1.54805i	0.0561369	−	0.0671163i
$533$	−1.70426	−	11.8534i	−0.0738198	−	0.513428i
$534$	−5.94589	+	3.89489i	−0.257304	+	0.168548i
$535$	23.1320	+	3.32587i	1.00008	+	0.143790i
$536$	10.7521	+	11.7716i	0.464420	+	0.508455i
$537$	−22.0731	−	14.1855i	−0.952525	−	0.612151i
$538$	21.0813	+	5.99080i	0.908881	+	0.258282i
$539$	14.0479	+	4.12483i	0.605085	+	0.177669i
$540$	3.60248	+	2.22735i	0.155026	+	0.0958498i
$541$	13.5445	+	15.6312i	0.582322	+	0.672036i	0.968102	−	0.250555i	$-0.0806131\pi$
$541$	13.5445	+	15.6312i	0.582322	+	0.672036i	−0.385780	+	0.922591i	$0.626068\pi$
$542$	−3.35288	−	0.452257i	−0.144018	−	0.0194261i
$543$	2.79753	−	6.12573i	0.120053	−	0.262880i
$544$	−24.2932	+	4.58177i	−1.04156	+	0.196442i
$545$	29.2979	−	8.60264i	1.25498	−	0.368496i
$546$	−0.0147050	−	1.68579i	−0.000629315	−	0.0721452i
$547$	−31.3529	+	14.3184i	−1.34055	+	0.612210i	−0.951113	−	0.308842i	$-0.900058\pi$
$547$	−31.3529	+	14.3184i	−1.34055	+	0.612210i	−0.389439	+	0.921052i	$0.627331\pi$
$548$	−22.3633	+	10.6883i	−0.955315	+	0.456583i
$549$	−4.23592	−	6.59122i	−0.180785	−	0.281307i
$550$	1.47779	+	0.931606i	0.0630133	+	0.0397238i
$551$	−1.23572			−0.0526435
$552$	−11.4818	+	7.22275i	−0.488698	+	0.307420i
$553$	9.56968			0.406944
$554$	−2.01788	−	1.27208i	−0.0857315	−	0.0540455i
$555$	6.84908	+	10.6574i	0.290727	+	0.452381i
$556$	17.1226	−	8.18356i	0.726158	−	0.347060i
$557$	−21.0274	+	9.60291i	−0.890961	+	0.406888i	−0.807669	−	0.589637i	$-0.799271\pi$
$557$	−21.0274	+	9.60291i	−0.890961	+	0.406888i	−0.0832926	+	0.996525i	$0.526544\pi$
$558$	−0.0840145	−	9.63150i	−0.00355662	−	0.407734i
$559$	−0.115840	+	0.0340136i	−0.00489949	+	0.00143862i
$560$	0.279228	+	7.99969i	0.0117995	+	0.338049i
$561$	−4.35230	+	9.53021i	−0.183754	+	0.402366i
$562$	8.83485	+	1.19170i	0.372675	+	0.0502688i
$563$	−18.3850	−	21.2174i	−0.774835	−	0.894208i	0.221890	−	0.975072i	$-0.428777\pi$
$563$	−18.3850	−	21.2174i	−0.774835	−	0.894208i	−0.996725	+	0.0808642i	$0.974232\pi$
$564$	−14.7942	−	9.14700i	−0.622949	−	0.385158i
$565$	−21.2949	−	6.25276i	−0.895884	−	0.263055i
$566$	−0.0237257	−	0.00674227i	−0.000997266	−	0.000283399i
$567$	−0.794943	−	0.510879i	−0.0333845	−	0.0214549i
$568$	−19.6025	+	17.9048i	−0.822502	+	0.751269i
$569$	−39.3371	−	5.65582i	−1.64910	−	0.237104i	−0.745814	−	0.666154i	$-0.767939\pi$
$569$	−39.3371	−	5.65582i	−1.64910	−	0.237104i	−0.903281	+	0.429050i	$0.858849\pi$
$570$	−2.67528	+	1.75246i	−0.112055	+	0.0734024i
$571$	−4.28154	−	29.7788i	−0.179177	−	1.24620i	−0.858673	−	0.512524i	$-0.828711\pi$
$571$	−4.28154	−	29.7788i	−0.179177	−	1.24620i	0.679496	−	0.733679i	$-0.262198\pi$
$572$	3.88072	−	4.63971i	0.162261	−	0.193996i
$573$	−4.15636	−	3.60151i	−0.173634	−	0.150455i
$574$	−1.91482	−	12.5403i	−0.0799229	−	0.523423i
$575$	1.40963	−	2.02958i	0.0587855	−	0.0846395i
$576$	4.91543	−	6.31178i	0.204810	−	0.262991i
$577$	−10.3545	+	11.9497i	−0.431062	+	0.497472i	−0.929175	−	0.369640i	$-0.879481\pi$
$577$	−10.3545	+	11.9497i	−0.431062	+	0.497472i	0.498113	+	0.867112i	$0.334026\pi$
$578$	1.96299	+	2.22588i	0.0816496	+	0.0925844i
$579$	−3.86727	+	0.556029i	−0.160718	+	0.0231078i
$580$	3.64753	−	3.27374i	0.151456	−	0.135934i
$581$	−0.550738	+	3.83047i	−0.0228485	+	0.158915i
$582$	7.42426	+	15.8886i	0.307746	+	0.658605i
$583$	−7.12838	+	11.0920i	−0.295227	+	0.459383i
$584$	−29.5942	+	0.774598i	−1.22462	+	0.0320531i
$585$	−0.752666	+	2.56335i	−0.0311189	+	0.105981i
$586$	−20.6870	−	17.6118i	−0.854571	−	0.727536i
$587$	0.396943	−	0.343953i	0.0163836	−	0.0141965i	−0.646630	−	0.762803i	$-0.723822\pi$
$587$	0.396943	−	0.343953i	0.0163836	−	0.0141965i	0.663014	+	0.748607i	$0.269277\pi$
$588$	0.213069	+	12.2123i	0.00878682	+	0.503626i
$589$	6.61573	+	3.02130i	0.272596	+	0.124491i
$590$	2.10616	−	4.72038i	0.0867093	−	0.194335i
$591$	−0.447509	−	1.52408i	−0.0184081	−	0.0626921i
$592$	21.4061	−	10.6935i	0.879785	−	0.439499i
$593$	7.03113	+	15.3960i	0.288734	+	0.632239i	0.997302	−	0.0734029i	$-0.0233859\pi$
$593$	7.03113	+	15.3960i	0.288734	+	0.632239i	−0.708568	+	0.705642i	$0.750659\pi$
$594$	−0.983526	−	3.24461i	−0.0403545	−	0.133128i
$595$	7.35707	−	4.72810i	0.301610	−	0.193833i
$596$	41.2367	+	17.9695i	1.68912	+	0.736061i
$597$		−	21.4915i		−	0.879587i
$598$	−6.31189	−	5.77640i	−0.258112	−	0.236215i
$599$			1.25273i			0.0511853i	0.999672	+	0.0255927i	$0.00814729\pi$
$599$			1.25273i			0.0511853i	−0.999672	+	0.0255927i	$0.991853\pi$
$600$	−0.373860	+	1.40860i	−0.0152628	+	0.0575057i
$601$	−24.3462	+	15.6463i	−0.993101	+	0.638228i	−0.932967	−	0.359963i	$-0.882789\pi$
$601$	−24.3462	+	15.6463i	−0.993101	+	0.638228i	−0.0601348	+	0.998190i	$0.519153\pi$
$602$	−0.122392	+	0.0371002i	−0.00498833	+	0.00151209i
$603$	2.34156	+	5.12731i	0.0953558	+	0.208800i
$604$	13.7614	−	2.22426i	0.559942	−	0.0905040i
$605$	−3.13386	−	10.6729i	−0.127409	−	0.433916i
$606$	−19.1921	−	8.56322i	−0.779626	−	0.347857i
$607$	2.12327	+	0.969663i	0.0861807	+	0.0393574i	0.458039	−	0.888932i	$-0.348552\pi$
$607$	2.12327	+	0.969663i	0.0861807	+	0.0393574i	−0.371858	+	0.928290i	$0.621279\pi$
$608$	2.74661	+	5.38023i	0.111390	+	0.218197i
$609$	−0.826402	+	0.716081i	−0.0334875	+	0.0290171i
$610$	−15.2111	+	17.8671i	−0.615880	+	0.723419i
$611$	3.09096	−	10.5268i	0.125047	−	0.425870i
$612$	−8.67180	−	1.09278i	−0.350537	−	0.0441729i
$613$	−3.16565	+	4.92585i	−0.127859	+	0.198953i	−0.899281	−	0.437371i	$-0.855910\pi$
$613$	−3.16565	+	4.92585i	−0.127859	+	0.198953i	0.771422	+	0.636324i	$0.219546\pi$
$614$	7.90040	−	3.69161i	0.318834	−	0.148981i
$615$	−2.86094	+	19.8983i	−0.115364	+	0.802376i
$616$	4.06790	−	4.95061i	0.163900	−	0.199466i
$617$	36.6252	−	5.26590i	1.47447	−	0.211997i	0.642275	−	0.766474i	$-0.277991\pi$
$617$	36.6252	−	5.26590i	1.47447	−	0.211997i	0.832199	+	0.554477i	$0.187082\pi$
$618$	16.5726	−	14.6152i	0.666646	−	0.587911i
$619$	31.1578	−	35.9581i	1.25234	−	1.44528i	0.404920	−	0.914352i	$-0.367299\pi$
$619$	31.1578	−	35.9581i	1.25234	−	1.44528i	0.847419	−	0.530924i	$-0.178155\pi$
$620$	−27.5321	+	8.60861i	−1.10572	+	0.345730i
$621$	−4.64704	+	1.18533i	−0.186479	+	0.0475656i
$622$	5.20411	−	0.794629i	0.208666	−	0.0318617i
$623$	−3.58938	−	3.11022i	−0.143806	−	0.124608i
$624$	4.66043	+	1.93483i	0.186567	+	0.0774553i
$625$	3.15344	+	21.9327i	0.126138	+	0.877307i
$626$	−14.2785	−	21.7974i	−0.570683	−	0.871197i
$627$	2.53402	+	0.364337i	0.101199	+	0.0145502i
$628$	19.9696	+	29.9127i	0.796872	+	1.19365i
$629$	−21.9929	−	14.1340i	−0.876913	−	0.563558i
$630$	−0.773599	+	2.72226i	−0.0308209	+	0.108457i
$631$	−7.88672	−	2.31575i	−0.313965	−	0.0921885i	0.120954	−	0.992658i	$-0.461405\pi$
$631$	−7.88672	−	2.31575i	−0.313965	−	0.0921885i	−0.434919	+	0.900470i	$0.643223\pi$
$632$	−11.2133	+	26.3579i	−0.446042	+	1.04846i
$633$	2.83483	+	3.27157i	0.112675	+	0.130033i
$634$	−1.71243	+	12.6954i	−0.0680094	+	0.504198i
$635$	−6.10854	+	13.3758i	−0.242410	+	0.530804i
$636$	−10.6065	−	2.91436i	−0.420574	−	0.115562i
$637$	−7.39216	+	2.17053i	−0.292888	+	0.0859997i
$638$	−3.92319	+	0.0342215i	−0.155320	+	0.00135484i
$639$	−8.53819	+	3.89926i	−0.337765	+	0.154252i
$640$	−22.3609	−	8.60460i	−0.883890	−	0.340127i
$641$	8.27784	+	12.8806i	0.326955	+	0.508752i	0.965351	−	0.260957i	$-0.0840379\pi$
$641$	8.27784	+	12.8806i	0.326955	+	0.508752i	−0.638396	+	0.769708i	$0.720402\pi$
$642$	8.32260	−	13.2020i	0.328467	−	0.521042i
$643$	−18.7831			−0.740731			−0.370366	−	0.928886i	$-0.620768\pi$
$643$	−18.7831			−0.740731			−0.370366	+	0.928886i	$0.620768\pi$
$644$	−6.73943	−	6.06050i	−0.265571	−	0.238817i
$645$	0.202669			0.00798008
$646$	3.51956	−	5.58303i	0.138475	−	0.219661i
$647$	7.84057	+	12.2002i	0.308244	+	0.479638i	0.960469	−	0.278388i	$-0.0898003\pi$
$647$	7.84057	+	12.2002i	0.308244	+	0.479638i	−0.652224	+	0.758026i	$0.726164\pi$
$648$	2.33860	−	1.59090i	0.0918688	−	0.0624964i
$649$	−3.76374	+	1.71884i	−0.147740	+	0.0674704i
$650$	−0.919219	+	0.00801825i	−0.0360547	+	0.000314502i
$651$	6.17513	−	1.81318i	0.242022	−	0.0710642i
$652$	7.24151	−	26.3546i	0.283599	−	1.03213i
$653$	3.45039	−	7.55530i	0.135024	−	0.295662i	−0.830027	−	0.557723i	$-0.811675\pi$
$653$	3.45039	−	7.55530i	0.135024	−	0.295662i	0.965051	+	0.262061i	$0.0844023\pi$
$654$	2.72579	−	20.2081i	0.106587	−	0.790199i
$655$	18.2447	+	21.0555i	0.712879	+	0.822706i
$656$	36.7837	+	9.42019i	1.43616	+	0.367797i
$657$	−10.0427	−	2.94881i	−0.391804	−	0.115044i
$658$	3.17692	−	11.1794i	0.123849	−	0.435819i
$659$	3.39110	+	2.17933i	0.132099	+	0.0848946i	0.605021	−	0.796209i	$-0.293165\pi$
$659$	3.39110	+	2.17933i	0.132099	+	0.0848946i	−0.472923	+	0.881104i	$0.656801\pi$
$660$	−8.44498	+	5.63782i	−0.328721	+	0.219452i
$661$	−29.4311	−	4.23155i	−1.14474	−	0.164588i	−0.456260	−	0.889846i	$-0.650811\pi$
$661$	−29.4311	−	4.23155i	−1.14474	−	0.164588i	−0.688477	+	0.725258i	$0.741720\pi$
$662$	−23.5020	−	35.8779i	−0.913432	−	1.39443i
$663$	−0.784598	−	5.45700i	−0.0304712	−	0.211932i
$664$	−9.90499	−	6.00528i	−0.384388	−	0.233050i
$665$	−1.61500	−	1.39940i	−0.0626269	−	0.0542666i
$666$	8.36306	−	1.27698i	0.324062	−	0.0494819i
$667$	−0.198932	+	5.54612i	−0.00770266	+	0.214746i
$668$	−11.4276	−	36.5478i	−0.442147	−	1.41408i
$669$	−8.84861	+	10.2118i	−0.342107	+	0.394813i
$670$	12.6612	−	11.1658i	0.489144	−	0.431373i
$671$	18.5923	−	2.67316i	0.717746	−	0.103196i
$672$	4.95458	+	2.00647i	0.191127	+	0.0774012i
$673$	−2.10702	+	14.6546i	−0.0812196	+	0.564895i	0.908058	+	0.418845i	$0.137565\pi$
$673$	−2.10702	+	14.6546i	−0.0812196	+	0.564895i	−0.989277	+	0.146050i	$0.953344\pi$
$674$	−21.6772	+	10.1291i	−0.834976	+	0.390159i
$675$	−0.278569	+	0.433462i	−0.0107221	+	0.0166839i
$676$	2.85274	−	22.6381i	0.109721	−	0.870695i
$677$	−0.901298	+	3.06954i	−0.0346397	+	0.117972i	−0.974998	−	0.222214i	$-0.928672\pi$
$677$	−0.901298	+	3.06954i	−0.0346397	+	0.117972i	0.940358	+	0.340186i	$0.110490\pi$
$678$	−9.60769	+	11.2853i	−0.368981	+	0.433408i
$679$	−8.85610	+	7.67386i	−0.339866	+	0.294496i
$680$	4.40199	+	25.8039i	0.168809	+	0.989533i
$681$	2.33228	+	1.06512i	0.0893733	+	0.0408154i
$682$	21.0874	+	9.40886i	0.807477	+	0.360284i
$683$	6.17175	+	21.0190i	0.236155	+	0.804271i	0.989234	+	0.146341i	$0.0467497\pi$
$683$	6.17175	+	21.0190i	0.236155	+	0.804271i	−0.753079	+	0.657930i	$0.771432\pi$
$684$	0.340777	+	2.10837i	0.0130299	+	0.0806155i
$685$	10.9027	+	23.8735i	0.416569	+	0.912159i
$686$	−16.7626	+	5.08117i	−0.639998	+	0.194000i
$687$	−7.12629	+	4.57979i	−0.271885	+	0.174730i
$688$	0.0412281	−	0.380579i	0.00157180	−	0.0145094i
$689$		−	6.93813i		−	0.264322i
$690$	7.43463	+	12.2892i	0.283032	+	0.467842i
$691$		−	37.5655i		−	1.42906i	−0.699605	−	0.714530i	$-0.746640\pi$
$691$		−	37.5655i		−	1.42906i	0.699605	−	0.714530i	$-0.253360\pi$
$692$	−16.5141	+	37.8967i	−0.627770	+	1.44062i
$693$	1.90578	−	1.22477i	0.0723945	−	0.0465251i
$694$	−12.0517	−	39.7580i	−0.457475	−	1.50919i
$695$	−8.34765	−	18.2788i	−0.316645	−	0.693355i
$696$	−1.00397	−	3.11524i	−0.0380554	−	0.118083i
$697$	−11.6876	−	39.8045i	−0.442701	−	1.50770i
$698$	1.14850	−	2.57404i	0.0434713	−	0.0974290i
$699$	14.5715	+	6.65458i	0.551145	+	0.251699i
$700$	−0.973636	+	0.0169871i	−0.0368000	+	0.000642054i
$701$	16.8705	−	14.6184i	0.637191	−	0.552129i	−0.275232	−	0.961378i	$-0.588755\pi$
$701$	16.8705	−	14.6184i	0.637191	−	0.552129i	0.912423	+	0.409249i	$0.134209\pi$
$702$	1.35845	+	1.15651i	0.0512713	+	0.0436497i
$703$	−1.79973	+	6.12933i	−0.0678782	+	0.231172i
$704$	8.86897	+	17.0052i	0.334262	+	0.640907i
$705$	−9.95719	+	15.4937i	−0.375009	+	0.583526i
$706$	−13.9368	−	29.8261i	−0.524518	−	1.12252i
$707$	1.99844	−	13.8995i	0.0751591	−	0.522743i
$708$	−2.30562	−	2.56888i	−0.0866506	−	0.0965443i
$709$	−5.30691	+	0.763018i	−0.199305	+	0.0286558i	−0.241244	−	0.970464i	$-0.577556\pi$
$709$	−5.30691	+	0.763018i	−0.199305	+	0.0286558i	0.0419392	+	0.999120i	$0.486646\pi$
$710$	18.5937	+	21.0839i	0.697810	+	0.791263i
$711$	−6.63189	+	7.65361i	−0.248715	+	0.287033i
$712$	12.7724	−	6.24187i	0.478666	−	0.233924i
$713$	14.6251	−	29.2061i	0.547715	−	1.09378i
$714$	−0.881531	−	5.77324i	−0.0329905	−	0.216058i
$715$	−4.84038	−	4.19421i	−0.181020	−	0.156855i
$716$	40.2527	+	33.6679i	1.50431	+	1.25823i
$717$	0.668959	+	4.65271i	0.0249827	+	0.173759i
$718$	29.9346	−	19.6088i	1.11715	−	0.731796i
$719$	18.4090	+	2.64682i	0.686542	+	0.0987098i	0.476753	−	0.879037i	$-0.341813\pi$
$719$	18.4090	+	2.64682i	0.686542	+	0.0987098i	0.209788	+	0.977747i	$0.432723\pi$
$720$	−6.59148	−	5.32055i	−0.245650	−	0.198285i
$721$	12.4206	+	7.98226i	0.462569	+	0.297275i
$722$	24.2954	+	6.90417i	0.904182	+	0.256947i
$723$	−4.26189	−	1.25140i	−0.158501	−	0.0465402i
$724$	−7.08290	+	11.4558i	−0.263234	+	0.425751i
$725$	0.390460	+	0.450615i	0.0145013	+	0.0167354i
$726$	−7.36161	−	0.992980i	−0.273215	−	0.0368529i
$727$	−1.68568	+	3.69111i	−0.0625182	+	0.136896i	−0.938312	−	0.345789i	$-0.887611\pi$
$727$	−1.68568	+	3.69111i	−0.0625182	+	0.136896i	0.875794	+	0.482685i	$0.160338\pi$
$728$	−0.392357	+	3.34881i	−0.0145417	+	0.124115i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	0.273425	+	31.3456i	0.0101199	+	1.16015i
$731$	−0.380438	+	0.173740i	−0.0140710	+	0.00642602i
$732$	6.75722	+	14.1382i	0.249754	+	0.522563i
$733$	−1.04203	−	1.62143i	−0.0384883	−	0.0598889i	0.821476	−	0.570243i	$-0.193151\pi$
$733$	−1.04203	−	1.62143i	−0.0384883	−	0.0598889i	−0.859965	+	0.510354i	$0.829514\pi$
$734$	34.4046	+	21.6888i	1.26990	+	0.800548i
$735$	12.9331			0.477043
$736$	24.5895	−	11.4611i	0.906381	−	0.422461i
$737$	−13.5133			−0.497767
$738$	11.3565	+	7.15916i	0.418037	+	0.263532i
$739$	−12.5174	−	19.4774i	−0.460460	−	0.716489i	0.530933	−	0.847414i	$-0.321842\pi$
$739$	−12.5174	−	19.4774i	−0.460460	−	0.716489i	−0.991392	+	0.130925i	$0.958205\pi$
$740$	−10.9258	−	22.8601i	−0.401639	−	0.840355i
$741$	−1.22540	+	0.559623i	−0.0450163	+	0.0205582i
$742$	−0.0641082	−	7.34942i	−0.00235349	−	0.269806i
$743$	−19.4198	+	5.70218i	−0.712445	+	0.209193i	−0.617819	−	0.786320i	$-0.711984\pi$
$743$	−19.4198	+	5.70218i	−0.712445	+	0.209193i	−0.0946256	+	0.995513i	$0.530165\pi$
$744$	−2.24167	+	19.1329i	−0.0821836	+	0.701445i
$745$	19.7860	−	43.3254i	0.724905	−	1.58732i
$746$	40.6241	+	5.47963i	1.48735	+	0.200624i
$747$	−2.68185	−	3.09502i	−0.0981239	−	0.113241i
$748$	11.0193	−	17.8225i	0.402907	−	0.651657i
$749$	10.0055	+	2.93787i	0.365592	+	0.107347i
$750$	15.8886	+	4.51516i	0.580170	+	0.164870i
$751$	−36.8288	−	23.6685i	−1.34390	−	0.863674i	−0.346668	−	0.937988i	$-0.612687\pi$
$751$	−36.8288	−	23.6685i	−1.34390	−	0.863674i	−0.997235	+	0.0743137i	$0.976323\pi$
$752$	27.0691	+	21.8498i	0.987107	+	0.796780i
$753$	23.4042	+	3.36502i	0.852898	+	0.122628i
$754$	1.72697	−	1.13126i	0.0628925	−	0.0411981i
$755$	−2.10064	−	14.6102i	−0.0764500	−	0.531721i
$756$	1.44966	+	1.21252i	0.0527238	+	0.0440988i
$757$	22.5761	+	19.5623i	0.820541	+	0.711003i	0.960235	−	0.279191i	$-0.0900664\pi$
$757$	22.5761	+	19.5623i	0.820541	+	0.711003i	−0.139694	+	0.990195i	$0.544612\pi$
$758$	7.80634	+	51.1245i	0.283539	+	1.85693i
$759$	2.04314	−	11.3144i	0.0741612	−	0.410687i
$760$	5.74678	−	2.80845i	0.208458	−	0.101873i
$761$	−7.41332	+	8.55543i	−0.268733	+	0.310134i	−0.874036	−	0.485861i	$-0.838506\pi$
$761$	−7.41332	+	8.55543i	−0.268733	+	0.310134i	0.605304	+	0.795995i	$0.293052\pi$
$762$	6.49507	+	7.36491i	0.235291	+	0.266803i
$763$	13.4863	−	1.93903i	0.488235	−	0.0701976i
$764$	7.34693	+	8.18580i	0.265803	+	0.296152i
$765$	−1.31710	+	9.16064i	−0.0476199	+	0.331204i
$766$	−0.889345	−	1.90328i	−0.0321333	−	0.0687684i
$767$	1.17713	−	1.83164i	0.0425035	−	0.0661368i
$768$	−11.3320	+	11.2954i	−0.408908	+	0.407587i
$769$	−15.0900	+	51.3918i	−0.544159	+	1.85324i	−0.0230698	+	0.999734i	$0.507344\pi$
$769$	−15.0900	+	51.3918i	−0.544159	+	1.85324i	−0.521089	+	0.853502i	$0.674474\pi$
$770$	−5.16607	−	4.39812i	−0.186172	−	0.158497i
$771$	2.07132	−	1.79481i	0.0745968	−	0.0646385i
$772$	7.81289	−	0.136312i	0.281192	−	0.00490599i
$773$	−2.34440	−	1.07065i	−0.0843221	−	0.0385086i	0.372808	−	0.927909i	$-0.378395\pi$
$773$	−2.34440	−	1.07065i	−0.0843221	−	0.0385086i	−0.457130	+	0.889400i	$0.651122\pi$
$774$	0.0551472	−	0.123597i	0.00198223	−	0.00444262i
$775$	−0.988681	−	3.36714i	−0.0355145	−	0.120951i
$776$	−10.7590	−	33.3844i	−0.386227	−	1.19843i
$777$	2.34826	+	5.14197i	0.0842433	+	0.184467i
$778$	−7.69160	−	25.3743i	−0.275757	−	0.909712i
$779$	−8.52772	+	5.48043i	−0.305537	+	0.196357i
$780$	2.13449	−	4.89826i	0.0764271	−	0.175386i
$781$		−	22.5028i		−	0.805213i
$782$	−24.4909	−	16.6951i	−0.875794	−	0.597017i
$783$		−	1.15719i		−	0.0413546i
$784$	2.63092	−	24.2862i	0.0939613	−	0.867364i
$785$	32.0375	−	20.5892i	1.14347	−	0.734861i
$786$	17.8051	−	5.39719i	0.635088	−	0.192511i
$787$	3.33732	+	7.30772i	0.118963	+	0.260492i	0.959740	−	0.280889i	$-0.0906291\pi$
$787$	3.33732	+	7.30772i	0.118963	+	0.260492i	−0.840778	+	0.541381i	$0.817902\pi$
$788$	0.506896	+	3.13614i	0.0180574	+	0.111720i
$789$	4.04255	+	13.7677i	0.143919	+	0.490142i
$790$	27.6980	+	12.3584i	0.985450	+	0.439692i
$791$	−9.00825	−	4.11393i	−0.320296	−	0.146274i
$792$	1.14029	+	6.68424i	0.0405185	+	0.237514i
$793$	−7.46988	+	6.47269i	−0.265263	+	0.229852i
$794$	−25.3179	+	29.7386i	−0.898498	+	1.05538i
$795$	−3.28134	+	11.1752i	−0.116377	+	0.396345i
$796$	−5.37400	+	42.6457i	−0.190476	+	1.51154i
$797$	−0.383882	+	0.597333i	−0.0135978	+	0.0211586i	−0.847986	−	0.530019i	$-0.822185\pi$
$797$	−0.383882	+	0.597333i	−0.0135978	+	0.0211586i	0.834388	+	0.551177i	$0.185821\pi$
$798$	−1.29287	+	0.604120i	−0.0457672	+	0.0213856i
$799$	5.40891	−	37.6198i	0.191353	−	1.33089i
$800$	1.09408	−	2.70160i	0.0386814	−	0.0955161i
$801$	4.97496	−	0.715292i	0.175782	−	0.0252736i
$802$	−38.3207	+	33.7948i	−1.35315	+	1.19333i
$803$	16.4322	−	18.9637i	0.579879	−	0.669216i
$804$	−3.36428	−	10.7597i	−0.118649	−	0.379464i
$805$	−6.54074	+	7.02309i	−0.230531	+	0.247531i
$806$	−12.0116	+	1.83409i	−0.423092	+	0.0646030i
$807$	−11.7118	−	10.1484i	−0.412276	−	0.357239i
$808$	35.9418	+	21.7911i	1.26443	+	0.766608i
$809$	−5.09168	−	35.4134i	−0.179014	−	1.24507i	−0.859051	−	0.511891i	$-0.828945\pi$
$809$	−5.09168	−	35.4134i	−0.179014	−	1.24507i	0.680037	−	0.733178i	$-0.261964\pi$
$810$	−1.64109	−	2.50526i	−0.0576619	−	0.0880258i
$811$	−50.6158	−	7.27745i	−1.77736	−	0.255546i	−0.826010	−	0.563655i	$-0.809395\pi$
$811$	−50.6158	−	7.27745i	−1.77736	−	0.255546i	−0.951351	+	0.308109i	$0.900304\pi$
$812$	1.81889	−	1.21428i	0.0638306	−	0.0426129i
$813$	2.01254	+	1.29338i	0.0705829	+	0.0453609i
$814$	−5.54408	+	19.5093i	−0.194320	+	0.683801i
$815$	−27.7679	−	8.15339i	−0.972667	−	0.285601i
$816$	16.9343	+	4.33681i	0.592817	+	0.151819i
$817$	0.0669243	+	0.0772348i	0.00234138	+	0.00270210i
$818$	−6.02655	+	44.6788i	−0.210713	+	1.56216i
$819$	−0.495208	+	1.08435i	−0.0173040	+	0.0378904i
$820$	10.6526	−	38.7689i	0.372005	−	1.35387i
$821$	43.2092	−	12.6874i	1.50801	−	0.442792i	0.579772	−	0.814779i	$-0.303142\pi$
$821$	43.2092	−	12.6874i	1.50801	−	0.442792i	0.928238	+	0.371987i	$0.121323\pi$
$822$	17.5259	−	0.152876i	0.611285	−	0.00533218i
$823$	−33.7260	+	15.4021i	−1.17561	+	0.536885i	−0.904837	−	0.425757i	$-0.860008\pi$
$823$	−33.7260	+	15.4021i	−1.17561	+	0.536885i	−0.270777	+	0.962642i	$0.587281\pi$
$824$	−36.5396	+	24.8571i	−1.27292	+	0.865938i
$825$	−0.667835	−	1.03917i	−0.0232510	−	0.0361793i
$826$	1.22998	−	1.95110i	0.0427965	−	0.0678875i
$827$	−6.05748			−0.210639			−0.105320	−	0.994438i	$-0.533587\pi$
$827$	−6.05748			−0.210639			−0.105320	+	0.994438i	$0.533587\pi$
$828$	9.51755	−	1.19005i	0.330758	−	0.0413571i
$829$	15.6646			0.544054			0.272027	−	0.962290i	$-0.412306\pi$
$829$	15.6646			0.544054			0.272027	+	0.962290i	$0.412306\pi$
$830$	−6.54074	+	10.3755i	−0.227033	+	0.360138i
$831$	0.911908	+	1.41896i	0.0316337	+	0.0492231i
$832$	−8.76392	−	5.00466i	−0.303834	−	0.173505i
$833$	−24.2772	+	11.0870i	−0.841156	+	0.384143i
$834$	−13.4187	+	0.117050i	−0.464653	+	0.00405312i
$835$	−38.9042	+	11.4233i	−1.34634	+	0.395320i
$836$	−4.93716	−	1.35659i	−0.170755	−	0.0469188i
$837$	−2.82929	+	6.19528i	−0.0977946	+	0.214140i
$838$	−2.30872	+	17.1160i	−0.0797533	+	0.591263i
$839$	10.9114	+	12.5924i	0.376702	+	0.434738i	0.912166	−	0.409821i	$-0.134409\pi$
$839$	10.9114	+	12.5924i	0.376702	+	0.434738i	−0.535464	+	0.844558i	$0.679863\pi$
$840$	2.21576	−	5.20835i	0.0764511	−	0.179705i
$841$	26.5405	+	7.79298i	0.915188	+	0.268723i
$842$	11.0466	−	38.8725i	0.380692	−	1.33964i
$843$	−5.30306	−	3.40807i	−0.182647	−	0.117380i
$844$	−4.80712	−	7.20066i	−0.165468	−	0.247857i
$845$	−23.9142	−	3.43834i	−0.822674	−	0.118283i
$846$	6.73940	+	10.2883i	0.231705	+	0.353719i
$847$	−0.706370	−	4.91291i	−0.0242712	−	0.168810i
$848$	20.3177	+	8.43515i	0.697714	+	0.289664i
$849$	0.0131809	+	0.0114213i	0.000452368	+	0.000391979i
$850$	−3.14800	+	0.480676i	−0.107975	+	0.0164871i
$851$	27.2197	+	9.06422i	0.933079	+	0.310717i
$852$	17.9174	−	5.60233i	0.613840	−	0.191933i
$853$	0.0478926	−	0.0552710i	0.00163981	−	0.00189244i	−0.754929	−	0.655806i	$-0.772329\pi$
$853$	0.0478926	−	0.0552710i	0.00163981	−	0.00189244i	0.756569	+	0.653914i	$0.226874\pi$
$854$	−7.85289	+	6.92541i	−0.268720	+	0.236983i
$855$	2.23842	−	0.321837i	0.0765524	−	0.0110066i
$856$	−19.8158	+	24.1157i	−0.677290	+	0.824259i
$857$	0.759199	−	5.28034i	0.0259337	−	0.180373i	−0.972737	−	0.231909i	$-0.925503\pi$
$857$	0.759199	−	5.28034i	0.0259337	−	0.180373i	0.998671	+	0.0515363i	$0.0164118\pi$
$858$	−3.87493	+	1.81063i	−0.132288	+	0.0618140i
$859$	6.66683	−	10.3738i	0.227469	−	0.353949i	−0.708693	−	0.705517i	$-0.750715\pi$
$859$	6.66683	−	10.3738i	0.227469	−	0.353949i	0.936162	+	0.351568i	$0.114351\pi$
$860$	−0.402157	−	0.0506779i	−0.0137135	−	0.00172810i
$861$	−2.52718	+	8.60677i	−0.0861259	+	0.293318i
$862$	−2.08234	+	2.44594i	−0.0709249	+	0.0833091i
$863$	−23.2098	+	20.1114i	−0.790069	+	0.684599i	−0.953312	−	0.301987i	$-0.902350\pi$
$863$	−23.2098	+	20.1114i	−0.790069	+	0.684599i	0.163243	+	0.986586i	$0.447805\pi$
$864$	−5.03831	+	2.57206i	−0.171407	+	0.0875031i
$865$	39.8161	+	18.1834i	1.35379	+	0.618255i
$866$	31.5579	+	14.0806i	1.07238	+	0.478480i
$867$	−0.591231	−	2.01355i	−0.0200793	−	0.0683837i
$868$	−12.7067	+	2.05380i	−0.431295	+	0.0697106i
$869$	−10.0857	−	22.0846i	−0.342135	−	0.749170i
$870$	−3.31665	+	1.00536i	−0.112445	+	0.0340850i
$871$	5.98201	−	3.84440i	0.202693	−	0.130263i
$872$	−10.4619	+	39.4175i	−0.354285	+	1.33484i
$873$		−	12.4010i		−	0.419709i
$874$	−2.22824	+	6.89133i	−0.0753714	+	0.233103i
$875$			11.0368i			0.373112i
$876$	19.1905	+	8.36256i	0.648387	+	0.282545i
$877$	−5.66094	+	3.63807i	−0.191157	+	0.122849i	−0.632718	−	0.774382i	$-0.718061\pi$
$877$	−5.66094	+	3.63807i	−0.191157	+	0.122849i	0.441562	+	0.897231i	$0.354425\pi$
$878$	16.5162	+	54.4864i	0.557396	+	1.83883i
$879$	7.98054	+	17.4749i	0.269177	+	0.589415i
$880$	18.1672	−	9.07547i	0.612416	−	0.305934i
$881$	−10.5152	−	35.8114i	−0.354265	−	1.20652i	−0.923260	−	0.384175i	$-0.874486\pi$
$881$	−10.5152	−	35.8114i	−0.354265	−	1.20652i	0.568995	−	0.822341i	$-0.307332\pi$
$882$	3.51915	−	7.88721i	0.118496	−	0.265576i
$883$	−50.2432	−	22.9453i	−1.69082	−	0.772171i	−0.998731	−	0.0503565i	$-0.983964\pi$
$883$	−50.2432	−	22.9453i	−1.69082	−	0.772171i	−0.692087	−	0.721814i	$-0.743308\pi$
$884$	0.192347	+	11.0245i	0.00646931	+	0.370796i
$885$	−2.76226	+	2.39351i	−0.0928523	+	0.0804569i
$886$	−28.0823	−	23.9078i	−0.943443	−	0.803198i
$887$	0.159223	−	0.542264i	0.00534619	−	0.0182075i	−0.956777	−	0.290824i	$-0.906071\pi$
$887$	0.159223	−	0.542264i	0.00534619	−	0.0182075i	0.962123	+	0.272616i	$0.0878889\pi$
$888$	−16.9142	+	0.442712i	−0.567603	+	0.0148564i
$889$	−3.54735	+	5.51978i	−0.118974	+	0.185128i
$890$	−6.37235	−	13.6374i	−0.213602	−	0.457128i
$891$	−0.341182	+	2.37297i	−0.0114300	+	0.0794976i
$892$	20.1119	−	18.0508i	0.673395	−	0.604386i
$893$	−9.19247	+	1.32168i	−0.307614	+	0.0442283i
$894$	−21.0380	−	23.8555i	−0.703618	−	0.797849i
$895$	36.3877	−	41.9936i	1.21631	−	1.40369i
$896$	−9.32969	−	5.22036i	−0.311683	−	0.174400i
$897$	2.31440	+	5.58989i	0.0772757	+	0.186641i
$898$	7.76228	+	50.8360i	0.259031	+	1.69642i
$899$	5.95631	+	5.16118i	0.198654	+	0.172135i
$900$	0.661154	−	0.790464i	0.0220385	−	0.0263488i
$901$	−3.42055	−	23.7905i	−0.113955	−	0.792575i
$902$	−26.9222	+	17.6355i	−0.896410	+	0.587199i
$903$	0.0895126	+	0.0128700i	0.00297879	+	0.000428286i
$904$	21.8865	−	19.9910i	0.727935	−	0.664892i
$905$	11.9974	+	7.71027i	0.398808	+	0.256298i
$906$	−9.48163	−	2.69445i	−0.315006	−	0.0895171i
$907$	24.3349	+	7.14538i	0.808028	+	0.237258i	0.659553	−	0.751658i	$-0.270745\pi$
$907$	24.3349	+	7.14538i	0.808028	+	0.237258i	0.148475	+	0.988916i	$0.452564\pi$
$908$	−4.36163	−	2.69672i	−0.144746	−	0.0894936i
$909$	9.73153	+	11.2308i	0.322774	+	0.372501i
$910$	3.53813	+	0.477245i	0.117288	+	0.0158205i
$911$	17.4164	−	38.1367i	0.577032	−	1.26352i	−0.365936	−	0.930640i	$-0.619251\pi$
$911$	17.4164	−	38.1367i	0.577032	−	1.26352i	0.942968	−	0.332884i	$-0.108022\pi$
$912$	−0.149004	−	4.26886i	−0.00493402	−	0.141356i
$913$	9.42029	−	2.76605i	0.311766	−	0.0915428i
$914$	−0.390863	−	44.8089i	−0.0129286	−	1.48215i
$915$	15.0929	−	6.89271i	0.498957	−	0.227866i
$916$	15.2859	−	7.30576i	0.505062	−	0.241389i
$917$	6.72104	+	10.4581i	0.221948	+	0.345358i
$918$	5.22821	+	3.29589i	0.172557	+	0.108781i
$919$	−30.5639			−1.00821			−0.504105	−	0.863642i	$-0.668178\pi$
$919$	−30.5639			−1.00821			−0.504105	+	0.863642i	$0.668178\pi$
$920$	−11.6796	−	26.2446i	−0.385067	−	0.865259i
$921$	−6.16621			−0.203184
$922$	−20.5993	−	12.9859i	−0.678402	−	0.427667i
$923$	6.40185	+	9.96147i	0.210719	+	0.327886i
$924$	−4.08790	+	1.95377i	−0.134482	+	0.0642744i
$925$	2.80378	−	1.28044i	0.0921878	−	0.0421007i
$926$	−0.0338638	−	3.88218i	−0.00111283	−	0.127576i
$927$	−14.9917	+	4.40195i	−0.492391	+	0.144579i
$928$	1.21321	+	6.43264i	0.0398257	+	0.211162i
$929$	3.47675	−	7.61301i	0.114068	−	0.249775i	−0.843984	−	0.536369i	$-0.819796\pi$
$929$	3.47675	−	7.61301i	0.114068	−	0.249775i	0.958052	+	0.286594i	$0.0925230\pi$
$930$	20.2145	+	2.72666i	0.662861	+	0.0894108i
$931$	4.27069	+	4.92864i	0.139966	+	0.161530i
$932$	−27.2503	−	16.8484i	−0.892615	−	0.551887i
$933$	−3.57172	−	1.04875i	−0.116933	−	0.0343346i
$934$	23.8247	+	6.77040i	0.779568	+	0.221534i
$935$	−18.6652	−	11.9954i	−0.610417	−	0.392291i
$936$	−2.40639	−	2.63456i	−0.0786553	−	0.0861132i
$937$	57.7788	+	8.30733i	1.88755	+	0.271389i	0.986677	−	0.162693i	$-0.0520181\pi$
$937$	57.7788	+	8.30733i	1.88755	+	0.271389i	0.900873	+	0.434082i	$0.142927\pi$
$938$	6.30110	−	4.12757i	0.205738	−	0.134770i
$939$	2.62223	+	18.2380i	0.0855731	+	0.595174i
$940$	23.6324	−	28.2544i	0.770802	−	0.921557i
$941$	−7.50321	−	6.50157i	−0.244598	−	0.211945i	0.523931	−	0.851761i	$-0.324465\pi$
$941$	−7.50321	−	6.50157i	−0.244598	−	0.211945i	−0.768528	+	0.639816i	$0.779011\pi$
$942$	−3.83876	−	25.1404i	−0.125074	−	0.819120i
$943$	23.2242	+	39.1560i	0.756285	+	1.27510i
$944$	3.93271	+	5.67397i	0.127999	+	0.184672i
$945$	1.31047	−	1.51236i	0.0426295	−	0.0491971i
$946$	0.214611	+	0.243353i	0.00697761	+	0.00791208i
$947$	−56.0503	+	8.05882i	−1.82139	+	0.261877i	−0.966451	−	0.256850i	$-0.917315\pi$
$947$	−56.0503	+	8.05882i	−1.82139	+	0.261877i	−0.854940	+	0.518727i	$0.826406\pi$
$948$	15.0735	−	13.5288i	0.489565	−	0.439395i
$949$	−1.87913	+	13.0696i	−0.0609991	+	0.424258i
$950$	0.329411	+	0.704970i	0.0106875	+	0.0228723i
$951$	4.89728	−	7.62032i	0.158805	−	0.247106i
$952$	0.305616	+	11.6763i	0.00990506	+	0.378431i
$953$	1.80653	−	6.15246i	0.0585191	−	0.199298i	−0.925045	−	0.379858i	$-0.875973\pi$
$953$	1.80653	−	6.15246i	0.0585191	−	0.199298i	0.983564	+	0.180560i	$0.0577910\pi$
$954$	5.92233	+	5.04196i	0.191742	+	0.163239i
$955$	8.80201	−	7.62699i	0.284826	−	0.246803i
$956$	−0.163997	−	9.39969i	−0.00530406	−	0.304008i
$957$	2.52352	+	1.15245i	0.0815737	+	0.0372535i
$958$	−12.8232	+	28.7398i	−0.414300	+	0.928540i
$959$	3.29934	+	11.2365i	0.106541	+	0.362846i
$960$	11.7491	+	12.2058i	0.379201	+	0.393941i
$961$	−6.39174	−	13.9960i	−0.206185	−	0.451483i
$962$	−3.09600	−	10.2136i	−0.0998190	−	0.329299i
$963$	−9.28354	+	5.96617i	−0.299158	+	0.192257i
$964$	8.14398	+	3.54887i	0.262300	+	0.114301i
$965$		−	8.27402i		−	0.266350i
$966$	2.50325	+	5.89988i	0.0805409	+	0.189825i
$967$			4.83618i			0.155521i	0.996972	+	0.0777605i	$0.0247769\pi$
$967$			4.83618i			0.155521i	−0.996972	+	0.0777605i	$0.975223\pi$
$968$	14.3594	+	3.81117i	0.461528	+	0.122496i
$969$	−3.92594	+	2.52305i	−0.126119	+	0.0810520i
$970$	−35.5428	+	10.7739i	−1.14121	+	0.345930i
$971$	−1.43329	−	3.13847i	−0.0459966	−	0.100718i	0.885239	−	0.465137i	$-0.153995\pi$
$971$	−1.43329	−	3.13847i	−0.0459966	−	0.100718i	−0.931235	+	0.364419i	$0.881268\pi$
$972$	−1.97438	+	0.319120i	−0.0633282	+	0.0102358i
$973$	−2.52615	−	8.60328i	−0.0809847	−	0.275809i
$974$	30.0103	+	13.3901i	0.961593	+	0.429048i
$975$	0.591270	+	0.270024i	0.0189358	+	0.00864769i
$976$	−9.87310	−	29.7442i	−0.316030	−	0.952089i
$977$	11.4082	−	9.88526i	0.364981	−	0.316257i	−0.452992	−	0.891515i	$-0.649643\pi$
$977$	11.4082	−	9.88526i	0.364981	−	0.316257i	0.817973	+	0.575257i	$0.195098\pi$
$978$	−12.5281	+	14.7156i	−0.400605	+	0.470554i
$979$	−3.39474	+	11.5614i	−0.108496	+	0.369504i
$980$	−25.6632	−	3.23395i	−0.819780	−	0.103305i
$981$	−7.79533	+	12.1298i	−0.248886	+	0.387274i
$982$	−9.68302	+	4.52458i	−0.308998	+	0.144385i
$983$	1.50885	−	10.4943i	0.0481250	−	0.334716i	−0.951508	−	0.307624i	$-0.900466\pi$
$983$	1.50885	−	10.4943i	0.0481250	−	0.334716i	0.999633	−	0.0270924i	$-0.00862483\pi$
$984$	−20.7445	−	17.0457i	−0.661311	−	0.543396i
$985$	3.32959	−	0.478723i	0.106090	−	0.0152534i
$986$	5.36396	−	4.73045i	0.170823	−	0.150648i
$987$	−5.38167	+	6.21078i	−0.171300	+	0.197691i
$988$	2.57151	−	0.804048i	0.0818106	−	0.0255802i
$989$	0.357416	−	0.287933i	0.0113652	−	0.00915575i
$990$	7.09766	−	1.08376i	0.225579	−	0.0344442i
$991$	36.9864	+	32.0489i	1.17491	+	1.01807i	0.999436	+	0.0335832i	$0.0106919\pi$
$991$	36.9864	+	32.0489i	1.17491	+	1.01807i	0.175476	+	0.984484i	$0.443854\pi$
$992$	9.23238	−	37.4049i	0.293128	−	1.18761i
$993$	4.31611	+	30.0192i	0.136968	+	0.952631i
$994$	6.87339	+	10.4928i	0.218011	+	0.332812i
$995$	45.0497	+	6.47716i	1.42817	+	0.205340i
$996$	4.54770	+	6.81208i	0.144099	+	0.215849i
$997$	−32.9866	−	21.1992i	−1.04470	−	0.671385i	−0.0985517	−	0.995132i	$-0.531421\pi$
$997$	−32.9866	−	21.1992i	−1.04470	−	0.671385i	−0.946144	+	0.323747i	$0.895057\pi$
$998$	−3.57428	+	12.5777i	−0.113142	+	0.398140i
$999$	−5.73980	−	1.68536i	−0.181599	−	0.0533223i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.20	yes	240
3.2	odd	2		828.2.u.c.559.5		240
4.3	odd	2	inner	276.2.m.a.7.7	✓	240
12.11	even	2		828.2.u.c.559.18		240
23.10	odd	22	inner	276.2.m.a.79.7	yes	240
69.56	even	22		828.2.u.c.631.18		240
92.79	even	22	inner	276.2.m.a.79.20	yes	240
276.263	odd	22		828.2.u.c.631.5		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.7	✓	240	4.3	odd	2	inner
276.2.m.a.7.20	yes	240	1.1	even	1	trivial
276.2.m.a.79.7	yes	240	23.10	odd	22	inner
276.2.m.a.79.20	yes	240	92.79	even	22	inner
828.2.u.c.559.5		240	3.2	odd	2
828.2.u.c.559.18		240	12.11	even	2
828.2.u.c.631.5		240	276.263	odd	22
828.2.u.c.631.18		240	69.56	even	22

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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.19634 + 0.754175i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.862440 + 1.80449i) q^{4} +(1.92635 - 0.879733i) q^{5} +(-0.0123356 - 1.41416i) q^{6} +(0.906673 - 0.266223i) q^{7} +(-0.329137 + 2.80921i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(1.19634 + 0.754175i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(0.862440 + 1.80449i) q^{4} +(1.92635 - 0.879733i) q^{5} +(-0.0123356 - 1.41416i) q^{6} +(0.906673 - 0.266223i) q^{7} +(-0.329137 + 2.80921i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(2.96803 + 0.400347i) q^{10} +(-1.56995 - 1.81182i) q^{11} +(1.05177 - 1.70111i) q^{12} +(1.21043 + 0.355413i) q^{13} +(1.28546 + 0.365298i) q^{14} +(-1.78154 - 1.14493i) q^{15} +(-2.51240 + 3.11253i) q^{16} +(4.32571 + 0.621943i) q^{17} +(-1.18300 + 0.774930i) q^{18} +(-0.151973 - 1.05700i) q^{19} +(3.24883 + 2.71736i) q^{20} +(-0.714146 - 0.618811i) q^{21} +(-0.511758 - 3.35156i) q^{22} +(-4.76843 + 0.511920i) q^{23} +(2.54120 - 1.24189i) q^{24} +(-0.337421 + 0.389405i) q^{25} +(1.18003 + 1.33807i) q^{26} +(0.989821 - 0.142315i) q^{27} +(1.26235 + 1.40648i) q^{28} +(0.164685 - 1.14541i) q^{29} +(-1.26785 - 2.71331i) q^{30} +(-3.68217 + 5.72957i) q^{31} +(-5.35307 + 1.82885i) q^{32} +(-0.675419 + 2.30027i) q^{33} +(4.70595 + 4.00639i) q^{34} +(1.51236 - 1.31047i) q^{35} +(-1.99970 + 0.0348889i) q^{36} +(-5.44152 - 2.48506i) q^{37} +(0.615349 - 1.37914i) q^{38} +(-0.355413 - 1.21043i) q^{39} +(1.83733 + 5.70107i) q^{40} +(-3.94341 - 8.63486i) q^{41} +(-0.387667 - 1.27890i) q^{42} +(-0.0805092 + 0.0517401i) q^{43} +(1.91543 - 4.39554i) q^{44} +2.11772i q^{45} +(-6.09072 - 2.98380i) q^{46} -8.69679i q^{47} +(3.97673 + 0.430799i) q^{48} +(-5.13759 + 3.30173i) q^{49} +(-0.697349 + 0.211385i) q^{50} +(-1.81544 - 3.97526i) q^{51} +(0.402579 + 2.49073i) q^{52} +(-1.54947 - 5.27701i) q^{53} +(1.29149 + 0.576242i) q^{54} +(-4.61818 - 2.10905i) q^{55} +(0.449458 + 2.63466i) q^{56} +(-0.807039 + 0.699303i) q^{57} +(1.06086 - 1.24609i) q^{58} +(0.486244 - 1.65600i) q^{59} +(0.529542 - 4.20221i) q^{60} +(-4.23592 + 6.59122i) q^{61} +(-8.72622 + 4.07749i) q^{62} +(-0.134480 + 0.935332i) q^{63} +(-7.78334 - 1.84923i) q^{64} +(2.64437 - 0.380203i) q^{65} +(-2.54283 + 2.24251i) q^{66} +(3.69124 - 4.25992i) q^{67} +(2.60837 + 8.34210i) q^{68} +(3.00866 + 3.73469i) q^{69} +(2.79762 - 0.427175i) q^{70} +(7.09378 + 6.14680i) q^{71} +(-2.41862 - 1.46638i) q^{72} +(1.48957 + 10.3602i) q^{73} +(-4.63572 - 7.07683i) q^{74} +(0.510012 + 0.0733287i) q^{75} +(1.77627 - 1.18583i) q^{76} +(-1.90578 - 1.22477i) q^{77} +(0.487680 - 1.71612i) q^{78} +(9.71695 + 2.85315i) q^{79} +(-2.10155 + 8.20606i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(1.79456 - 13.3042i) q^{82} +(-1.70125 + 3.72522i) q^{83} +(0.500733 - 1.82236i) q^{84} +(8.87996 - 2.60739i) q^{85} +(-0.135337 + 0.00118053i) q^{86} +(-1.05262 + 0.480714i) q^{87} +(5.60650 - 3.81398i) q^{88} +(-2.71733 - 4.22824i) q^{89} +(-1.59713 + 2.53351i) q^{90} +1.19208 q^{91} +(-5.03624 - 8.16310i) q^{92} +6.81076 q^{93} +(6.55890 - 10.4043i) q^{94} +(-1.22263 - 1.90245i) q^{95} +(4.43261 + 3.51453i) q^{96} +(-11.2803 + 5.15155i) q^{97} +(-8.63637 + 0.0753342i) q^{98} +(2.30027 - 0.675419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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