LMFDB - Embedded newform 966.2.q.h.85.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.3
Character	$\chi$	$=$	966.85
Dual form			966.2.q.h.841.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(1.33569 + 2.92475i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(1.33569 + 2.92475i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.08507 + 0.905858i) q^{10} +(0.342705 + 0.395503i) q^{11} +(0.654861 + 0.755750i) q^{12} +(2.26627 + 0.665436i) q^{13} +(-0.415415 + 0.909632i) q^{14} +(-2.70489 - 1.73833i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.245663 + 1.70862i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(-0.352090 - 2.44884i) q^{19} +(2.70489 - 1.73833i) q^{20} +(0.654861 - 0.755750i) q^{21} +0.523326 q^{22} +(-1.43009 + 4.57765i) q^{23} +1.00000 q^{24} +(-3.49579 + 4.03436i) q^{25} +(1.98699 - 1.27696i) q^{26} +(0.142315 + 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(-1.42510 + 9.91177i) q^{29} +(-3.08507 + 0.905858i) q^{30} +(0.758842 + 0.487678i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(-0.502127 - 0.147438i) q^{33} +(1.13041 + 1.30457i) q^{34} +(-2.10558 - 2.42997i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-4.75612 + 10.4144i) q^{37} +(-2.08128 - 1.33756i) q^{38} +(-2.26627 + 0.665436i) q^{39} +(0.457586 - 3.18258i) q^{40} +(0.284968 + 0.623992i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(3.90217 - 2.50777i) q^{43} +(0.342705 - 0.395503i) q^{44} +3.21531 q^{45} +(2.52304 + 4.07851i) q^{46} +11.0889 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.759708 + 5.28388i) q^{50} +(-0.717086 - 1.57020i) q^{51} +(0.336140 - 2.33790i) q^{52} +(-5.93742 + 1.74338i) q^{53} +(0.841254 + 0.540641i) q^{54} +(-0.699000 + 1.53060i) q^{55} +(0.959493 + 0.281733i) q^{56} +(1.62014 + 1.86974i) q^{57} +(6.55757 + 7.56784i) q^{58} +(-8.73498 - 2.56482i) q^{59} +(-1.33569 + 2.92475i) q^{60} +(2.84673 + 1.82948i) q^{61} +(0.865499 - 0.254133i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(1.08079 + 7.51708i) q^{65} +(-0.440249 + 0.282931i) q^{66} +(2.26091 - 2.60923i) q^{67} +1.72619 q^{68} +(-1.27179 - 4.62413i) q^{69} -3.21531 q^{70} +(2.29153 - 2.64456i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-0.628727 - 4.37289i) q^{73} +(4.75612 + 10.4144i) q^{74} +(0.759708 - 5.28388i) q^{75} +(-2.37381 + 0.697012i) q^{76} +(-0.440249 - 0.282931i) q^{77} +(-0.981187 + 2.14850i) q^{78} +(-6.83800 - 2.00782i) q^{79} +(-2.10558 - 2.42997i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(0.658196 + 0.193264i) q^{82} +(1.04317 - 2.28423i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(-5.32542 + 1.56368i) q^{85} +(0.660130 - 4.59130i) q^{86} +(-4.15984 - 9.10878i) q^{87} +(-0.0744770 - 0.517999i) q^{88} +(11.7248 - 7.53509i) q^{89} +(2.10558 - 2.42997i) q^{90} -2.36194 q^{91} +(4.73458 + 0.764067i) q^{92} -0.902038 q^{93} +(7.26171 - 8.38046i) q^{94} +(6.69196 - 4.30066i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-0.0992756 - 0.217383i) q^{97} +(0.142315 - 0.989821i) q^{98} +(0.502127 - 0.147438i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

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 $

$2$	0.654861	−	0.755750i	0.463056	−	0.534396i
$2$	0.654861	−	0.755750i	0.463056	−	0.534396i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$4$	−0.142315	−	0.989821i	−0.0711574	−	0.494911i
$5$	1.33569	+	2.92475i	0.597338	+	1.30799i	0.930905	+	0.365261i	$0.119020\pi$
$5$	1.33569	+	2.92475i	0.597338	+	1.30799i	−0.333567	+	0.942726i	$0.608252\pi$
$6$	−0.142315	+	0.989821i	−0.0580998	+	0.404093i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$7$	−0.959493	+	0.281733i	−0.362654	+	0.106485i
$8$	−0.841254	−	0.540641i	−0.297428	−	0.191145i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	3.08507	+	0.905858i	0.975584	+	0.286457i
$11$	0.342705	+	0.395503i	0.103330	+	0.119249i	0.805059	−	0.593195i	$-0.202134\pi$
$11$	0.342705	+	0.395503i	0.103330	+	0.119249i	−0.701729	+	0.712444i	$0.747588\pi$
$12$	0.654861	+	0.755750i	0.189042	+	0.218166i
$13$	2.26627	+	0.665436i	0.628550	+	0.184559i	0.580466	−	0.814284i	$-0.302870\pi$
$13$	2.26627	+	0.665436i	0.628550	+	0.184559i	0.0480836	+	0.998843i	$0.484689\pi$
$14$	−0.415415	+	0.909632i	−0.111024	+	0.243109i
$15$	−2.70489	−	1.73833i	−0.698400	−	0.448834i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	−0.245663	+	1.70862i	−0.0595819	+	0.414401i	0.938101	+	0.346363i	$0.112583\pi$
$17$	−0.245663	+	1.70862i	−0.0595819	+	0.414401i	−0.997683	+	0.0680389i	$0.978326\pi$
$18$	−0.415415	−	0.909632i	−0.0979143	−	0.214402i
$19$	−0.352090	−	2.44884i	−0.0807749	−	0.561802i	−0.989514	−	0.144437i	$-0.953863\pi$
$19$	−0.352090	−	2.44884i	−0.0807749	−	0.561802i	0.908739	−	0.417365i	$-0.137046\pi$
$20$	2.70489	−	1.73833i	0.604832	−	0.388702i
$21$	0.654861	−	0.755750i	0.142902	−	0.164918i
$22$	0.523326			0.111573
$23$	−1.43009	+	4.57765i	−0.298194	+	0.954505i
$23$	−1.43009	+	4.57765i	−0.298194	+	0.954505i
$24$	1.00000			0.204124
$25$	−3.49579	+	4.03436i	−0.699158	+	0.806871i
$26$	1.98699	−	1.27696i	0.389681	−	0.250433i
$27$	0.142315	+	0.989821i	0.0273885	+	0.190491i
$28$	0.415415	+	0.909632i	0.0785061	+	0.171904i
$29$	−1.42510	+	9.91177i	−0.264634	+	1.84057i	0.232132	+	0.972684i	$0.425430\pi$
$29$	−1.42510	+	9.91177i	−0.264634	+	1.84057i	−0.496766	+	0.867885i	$0.665479\pi$
$30$	−3.08507	+	0.905858i	−0.563254	+	0.165386i
$31$	0.758842	+	0.487678i	0.136292	+	0.0875896i	0.607010	−	0.794694i	$-0.292369\pi$
$31$	0.758842	+	0.487678i	0.136292	+	0.0875896i	−0.470718	+	0.882284i	$0.656005\pi$
$32$	−0.415415	+	0.909632i	−0.0734357	+	0.160802i
$33$	−0.502127	−	0.147438i	−0.0874091	−	0.0256656i
$34$	1.13041	+	1.30457i	0.193865	+	0.223732i
$35$	−2.10558	−	2.42997i	−0.355908	−	0.410740i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	−4.75612	+	10.4144i	−0.781901	+	1.71212i	−0.0833988	+	0.996516i	$0.526578\pi$
$37$	−4.75612	+	10.4144i	−0.781901	+	1.71212i	−0.698502	+	0.715608i	$0.746150\pi$
$38$	−2.08128	−	1.33756i	−0.337628	−	0.216980i
$39$	−2.26627	+	0.665436i	−0.362893	+	0.106555i
$40$	0.457586	−	3.18258i	0.0723508	−	0.503211i
$41$	0.284968	+	0.623992i	0.0445045	+	0.0974512i	0.930578	−	0.366093i	$-0.119305\pi$
$41$	0.284968	+	0.623992i	0.0445045	+	0.0974512i	−0.886074	+	0.463544i	$0.846578\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	3.90217	−	2.50777i	0.595075	−	0.382431i	−0.208159	−	0.978095i	$-0.566747\pi$
$43$	3.90217	−	2.50777i	0.595075	−	0.382431i	0.803234	+	0.595664i	$0.203111\pi$
$44$	0.342705	−	0.395503i	0.0516648	−	0.0596243i
$45$	3.21531			0.479310
$46$	2.52304	+	4.07851i	0.372003	+	0.601344i
$47$	11.0889			1.61749			0.808744	−	0.588160i	$-0.200148\pi$
$47$	11.0889			1.61749			0.808744	+	0.588160i	$0.200148\pi$
$48$	0.654861	−	0.755750i	0.0945210	−	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	0.759708	+	5.28388i	0.107439	+	0.747254i
$51$	−0.717086	−	1.57020i	−0.100412	−	0.219872i
$52$	0.336140	−	2.33790i	0.0466142	−	0.324209i
$53$	−5.93742	+	1.74338i	−0.815567	+	0.239472i	−0.662806	−	0.748791i	$-0.730635\pi$
$53$	−5.93742	+	1.74338i	−0.815567	+	0.239472i	−0.152761	+	0.988263i	$0.548817\pi$
$54$	0.841254	+	0.540641i	0.114480	+	0.0735719i
$55$	−0.699000	+	1.53060i	−0.0942531	+	0.206386i
$56$	0.959493	+	0.281733i	0.128218	+	0.0376481i
$57$	1.62014	+	1.86974i	0.214593	+	0.247653i
$58$	6.55757	+	7.56784i	0.861052	+	0.993707i
$59$	−8.73498	−	2.56482i	−1.13720	−	0.333911i	−0.341665	−	0.939822i	$-0.610991\pi$
$59$	−8.73498	−	2.56482i	−1.13720	−	0.333911i	−0.795533	+	0.605910i	$0.792809\pi$
$60$	−1.33569	+	2.92475i	−0.172437	+	0.377583i
$61$	2.84673	+	1.82948i	0.364486	+	0.234241i	0.710045	−	0.704156i	$-0.248674\pi$
$61$	2.84673	+	1.82948i	0.364486	+	0.234241i	−0.345559	+	0.938397i	$0.612311\pi$
$62$	0.865499	−	0.254133i	0.109918	−	0.0322750i
$63$	−0.142315	+	0.989821i	−0.0179300	+	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	1.08079	+	7.51708i	0.134056	+	0.932379i
$66$	−0.440249	+	0.282931i	−0.0541910	+	0.0348264i
$67$	2.26091	−	2.60923i	0.276214	−	0.318768i	−0.600645	−	0.799516i	$-0.705089\pi$
$67$	2.26091	−	2.60923i	0.276214	−	0.318768i	0.876859	+	0.480748i	$0.159635\pi$
$68$	1.72619			0.209331
$69$	−1.27179	−	4.62413i	−0.153106	−	0.556679i
$70$	−3.21531			−0.384303
$71$	2.29153	−	2.64456i	0.271954	−	0.313852i	−0.603301	−	0.797514i	$-0.706148\pi$
$71$	2.29153	−	2.64456i	0.271954	−	0.313852i	0.875255	+	0.483662i	$0.160694\pi$
$72$	−0.841254	+	0.540641i	−0.0991427	+	0.0637151i
$73$	−0.628727	−	4.37289i	−0.0735869	−	0.511808i	−0.992963	−	0.118428i	$-0.962215\pi$
$73$	−0.628727	−	4.37289i	−0.0735869	−	0.511808i	0.919376	−	0.393381i	$-0.128694\pi$
$74$	4.75612	+	10.4144i	0.552887	+	1.21065i
$75$	0.759708	−	5.28388i	0.0877235	−	0.610130i
$76$	−2.37381	+	0.697012i	−0.272294	+	0.0799528i
$77$	−0.440249	−	0.282931i	−0.0501711	−	0.0322430i
$78$	−0.981187	+	2.14850i	−0.111098	+	0.243270i
$79$	−6.83800	−	2.00782i	−0.769336	−	0.225897i	−0.126567	−	0.991958i	$-0.540396\pi$
$79$	−6.83800	−	2.00782i	−0.769336	−	0.225897i	−0.642768	+	0.766061i	$0.722214\pi$
$80$	−2.10558	−	2.42997i	−0.235411	−	0.271679i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	0.658196	+	0.193264i	0.0726856	+	0.0213424i
$83$	1.04317	−	2.28423i	0.114503	−	0.250727i	−0.843700	−	0.536814i	$-0.819628\pi$
$83$	1.04317	−	2.28423i	0.114503	−	0.250727i	0.958203	+	0.286088i	$0.0923548\pi$
$84$	−0.841254	−	0.540641i	−0.0917883	−	0.0589887i
$85$	−5.32542	+	1.56368i	−0.577622	+	0.169605i
$86$	0.660130	−	4.59130i	0.0711836	−	0.495093i
$87$	−4.15984	−	9.10878i	−0.445981	−	0.976563i
$88$	−0.0744770	−	0.517999i	−0.00793927	−	0.0552189i
$89$	11.7248	−	7.53509i	1.24283	−	0.798718i	0.256991	−	0.966414i	$-0.417269\pi$
$89$	11.7248	−	7.53509i	1.24283	−	0.798718i	0.985839	+	0.167695i	$0.0536325\pi$
$90$	2.10558	−	2.42997i	0.221948	−	0.256141i
$91$	−2.36194			−0.247599
$92$	4.73458	+	0.764067i	0.493614	+	0.0796595i
$93$	−0.902038			−0.0935369
$94$	7.26171	−	8.38046i	0.748989	−	0.864379i
$95$	6.69196	−	4.30066i	0.686580	−	0.441238i
$96$	−0.142315	−	0.989821i	−0.0145249	−	0.101023i
$97$	−0.0992756	−	0.217383i	−0.0100799	−	0.0220719i	0.904525	−	0.426420i	$-0.140226\pi$
$97$	−0.0992756	−	0.217383i	−0.0100799	−	0.0220719i	−0.914605	+	0.404348i	$0.867498\pi$
$98$	0.142315	−	0.989821i	0.0143760	−	0.0999871i
$99$	0.502127	−	0.147438i	0.0504657	−	0.0148181i
$100$	4.49080	+	2.88606i	0.449080	+	0.288606i
$101$	−3.10374	+	6.79625i	−0.308834	+	0.676252i	−0.998870	−	0.0475227i	$-0.984867\pi$
$101$	−3.10374	+	6.79625i	−0.308834	+	0.676252i	0.690036	+	0.723775i	$0.257595\pi$
$102$	−1.65627	−	0.486324i	−0.163995	−	0.0481533i
$103$	10.0992	+	11.6550i	0.995099	+	1.14841i	0.988924	+	0.148425i	$0.0474204\pi$
$103$	10.0992	+	11.6550i	0.995099	+	1.14841i	0.00617582	+	0.999981i	$0.498034\pi$
$104$	−1.54674	−	1.78504i	−0.151671	−	0.175037i
$105$	3.08507	+	0.905858i	0.301072	+	0.0884026i
$106$	−2.57062	+	5.62888i	−0.249681	+	0.546725i
$107$	8.80525	+	5.65879i	0.851235	+	0.547056i	0.891960	−	0.452115i	$-0.149330\pi$
$107$	8.80525	+	5.65879i	0.851235	+	0.547056i	−0.0407245	+	0.999170i	$0.512967\pi$
$108$	0.959493	−	0.281733i	0.0923273	−	0.0271097i
$109$	0.424289	−	2.95100i	0.0406395	−	0.282654i	−0.959360	−	0.282184i	$-0.908941\pi$
$109$	0.424289	−	2.95100i	0.0406395	−	0.282654i	1.00000		0.000470305i	$-0.000149703\pi$
$110$	0.699000	+	1.53060i	0.0666470	+	0.145937i
$111$	−1.62937	−	11.3325i	−0.154653	−	1.07564i
$112$	0.841254	−	0.540641i	0.0794910	−	0.0510858i
$113$	5.99635	−	6.92015i	0.564089	−	0.650993i	−0.400018	−	0.916507i	$-0.630996\pi$
$113$	5.99635	−	6.92015i	0.564089	−	0.650993i	0.964107	+	0.265514i	$0.0855416\pi$
$114$	2.47402			0.231713
$115$	−15.2986	+	1.93165i	−1.42660	+	0.180128i
$116$	10.0137			0.929748
$117$	1.54674	−	1.78504i	0.142997	−	0.165027i
$118$	−7.65856	+	4.92186i	−0.705028	+	0.453094i
$119$	−0.245663	−	1.70862i	−0.0225199	−	0.156629i
$120$	1.33569	+	2.92475i	0.121931	+	0.266992i
$121$	1.52649	−	10.6170i	0.138772	−	0.965178i
$122$	3.24684	−	0.953358i	0.293955	−	0.0863129i
$123$	−0.577086	−	0.370870i	−0.0520341	−	0.0334403i
$124$	0.374720	−	0.820522i	0.0336508	−	0.0736851i
$125$	−1.04343	−	0.306379i	−0.0933273	−	0.0274034i
$126$	0.654861	+	0.755750i	0.0583396	+	0.0673275i
$127$	−11.1228	−	12.8364i	−0.986991	−	1.13905i	−0.990285	−	0.139054i	$-0.955594\pi$
$127$	−11.1228	−	12.8364i	−0.986991	−	1.13905i	0.00329389	−	0.999995i	$-0.498952\pi$
$128$	0.959493	+	0.281733i	0.0848080	+	0.0249019i
$129$	−1.92691	+	4.21934i	−0.169655	+	0.371492i
$130$	6.38880	+	4.10583i	0.560335	+	0.360105i
$131$	12.3369	−	3.62244i	1.07788	−	0.316494i	0.305850	−	0.952080i	$-0.401059\pi$
$131$	12.3369	−	3.62244i	1.07788	−	0.316494i	0.772031	+	0.635585i	$0.219241\pi$
$132$	−0.0744770	+	0.517999i	−0.00648239	+	0.0450860i
$133$	1.02775	+	2.25045i	0.0891168	+	0.195139i
$134$	−0.491342	−	3.41736i	−0.0424455	−	0.295215i
$135$	−2.70489	+	1.73833i	−0.232800	+	0.149611i
$136$	1.13041	−	1.30457i	0.0969323	−	0.111866i
$137$	13.7689			1.17636			0.588179	−	0.808731i	$-0.299845\pi$
$137$	13.7689			1.17636			0.588179	+	0.808731i	$0.299845\pi$
$138$	−4.32753	−	2.06700i	−0.368384	−	0.175955i
$139$	−14.3008			−1.21298			−0.606490	−	0.795091i	$-0.707423\pi$
$139$	−14.3008			−1.21298			−0.606490	+	0.795091i	$0.707423\pi$
$140$	−2.10558	+	2.42997i	−0.177954	+	0.205370i
$141$	−9.32861	+	5.99514i	−0.785611	+	0.504882i
$142$	−0.497997	−	3.46364i	−0.0417909	−	0.290662i
$143$	0.513480	+	1.12436i	0.0429394	+	0.0940241i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	−30.8929	+	9.07098i	−2.56552	+	0.753304i
$146$	−3.71654	−	2.38848i	−0.307583	−	0.197672i
$147$	−0.415415	+	0.909632i	−0.0342629	+	0.0750252i
$148$	10.9853	+	3.22558i	0.902987	+	0.265141i
$149$	9.63457	+	11.1189i	0.789294	+	0.910894i	0.997744	−	0.0671389i	$-0.0213871\pi$
$149$	9.63457	+	11.1189i	0.789294	+	0.910894i	−0.208449	+	0.978033i	$0.566842\pi$
$150$	−3.49579	−	4.03436i	−0.285430	−	0.329404i
$151$	−1.30254	−	0.382461i	−0.105999	−	0.0311242i	0.228303	−	0.973590i	$-0.426682\pi$
$151$	−1.30254	−	0.382461i	−0.105999	−	0.0311242i	−0.334302	+	0.942466i	$0.608501\pi$
$152$	−1.02775	+	2.25045i	−0.0833611	+	0.182535i
$153$	1.45216	+	0.933249i	0.117401	+	0.0754487i
$154$	−0.502127	+	0.147438i	−0.0404626	+	0.0118809i
$155$	−0.412760	+	2.87081i	−0.0331537	+	0.230589i
$156$	0.981187	+	2.14850i	0.0785578	+	0.172018i
$157$	−2.11353	−	14.6999i	−0.168678	−	1.17318i	−0.881620	−	0.471960i	$-0.843547\pi$
$157$	−2.11353	−	14.6999i	−0.168678	−	1.17318i	0.712942	−	0.701223i	$-0.247362\pi$
$158$	−5.99535	+	3.85298i	−0.476964	+	0.306526i
$159$	4.05233	−	4.67664i	0.321371	−	0.370882i
$160$	−3.21531			−0.254193
$161$	0.0824894	−	4.79512i	0.00650107	−	0.377909i
$162$	−1.00000			−0.0785674
$163$	−11.6442	+	13.4382i	−0.912047	+	1.05256i	0.0863672	+	0.996263i	$0.472474\pi$
$163$	−11.6442	+	13.4382i	−0.912047	+	1.05256i	−0.998414	+	0.0562950i	$0.982071\pi$
$164$	0.577086	−	0.370870i	0.0450628	−	0.0289601i
$165$	−0.239467	−	1.66553i	−0.0186425	−	0.129661i
$166$	−1.04317	−	2.28423i	−0.0809659	−	0.177291i
$167$	3.63582	−	25.2877i	0.281348	−	1.95682i	−0.00920132	−	0.999958i	$-0.502929\pi$
$167$	3.63582	−	25.2877i	0.281348	−	1.95682i	0.290549	−	0.956860i	$-0.406162\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	−6.24313	−	4.01222i	−0.480241	−	0.308632i
$170$	−2.30565	+	5.04868i	−0.176835	+	0.387216i
$171$	−2.37381	−	0.697012i	−0.181529	−	0.0533018i
$172$	−3.03758	−	3.50556i	−0.231613	−	0.267296i
$173$	5.80039	+	6.69401i	0.440996	+	0.508936i	0.932118	−	0.362154i	$-0.117959\pi$
$173$	5.80039	+	6.69401i	0.440996	+	0.508936i	−0.491122	+	0.871091i	$0.663413\pi$
$174$	−9.60807	−	2.82118i	−0.728386	−	0.213873i
$175$	2.21758	−	4.85582i	0.167633	−	0.367065i
$176$	−0.440249	−	0.282931i	−0.0331851	−	0.0213267i
$177$	8.73498	−	2.56482i	0.656562	−	0.192784i
$178$	1.98349	−	13.7955i	0.148669	−	1.03401i
$179$	−7.43452	−	16.2793i	−0.555682	−	1.21677i	−0.954077	−	0.299560i	$-0.903160\pi$
$179$	−7.43452	−	16.2793i	−0.555682	−	1.21677i	0.398395	−	0.917214i	$-0.369567\pi$
$180$	−0.457586	−	3.18258i	−0.0341065	−	0.237216i
$181$	2.54161	−	1.63339i	0.188916	−	0.121409i	−0.442764	−	0.896638i	$-0.646002\pi$
$181$	2.54161	−	1.63339i	0.188916	−	0.121409i	0.631680	+	0.775229i	$0.282366\pi$
$182$	−1.54674	+	1.78504i	−0.114652	+	0.132316i
$183$	−3.38391			−0.250146
$184$	3.67793	−	3.07780i	0.271141	−	0.226898i
$185$	−36.8123			−2.70650
$186$	−0.590709	+	0.681715i	−0.0433129	+	0.0499857i
$187$	−0.759955	+	0.488393i	−0.0555734	+	0.0357148i
$188$	−1.57812	−	10.9761i	−0.115096	−	0.800513i
$189$	−0.415415	−	0.909632i	−0.0302170	−	0.0661660i
$190$	1.13208	−	7.87378i	0.0821296	−	0.571224i
$191$	−1.90099	+	0.558181i	−0.137551	+	0.0403886i	−0.349783	−	0.936831i	$-0.613745\pi$
$191$	−1.90099	+	0.558181i	−0.137551	+	0.0403886i	0.212232	+	0.977219i	$0.431927\pi$
$192$	−0.841254	−	0.540641i	−0.0607122	−	0.0390174i
$193$	0.443947	−	0.972109i	0.0319560	−	0.0699739i	−0.892981	−	0.450095i	$-0.851390\pi$
$193$	0.443947	−	0.972109i	0.0319560	−	0.0699739i	0.924937	+	0.380121i	$0.124118\pi$
$194$	−0.229299	−	0.0673282i	−0.0164627	−	0.00483389i
$195$	−4.97326	−	5.73945i	−0.356143	−	0.411011i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	−14.4410	−	4.24026i	−1.02888	−	0.302106i	−0.276624	−	0.960978i	$-0.589216\pi$
$197$	−14.4410	−	4.24026i	−1.02888	−	0.302106i	−0.752255	+	0.658872i	$0.771034\pi$
$198$	0.217397	−	0.476034i	0.0154498	−	0.0338302i
$199$	−8.14713	−	5.23584i	−0.577535	−	0.371159i	0.219025	−	0.975719i	$-0.429712\pi$
$199$	−8.14713	−	5.23584i	−0.577535	−	0.371159i	−0.796559	+	0.604560i	$0.793349\pi$
$200$	5.12198	−	1.50395i	0.362179	−	0.106345i
$201$	−0.491342	+	3.41736i	−0.0346566	+	0.241042i
$202$	3.10374	+	6.79625i	0.218379	+	0.478183i
$203$	−1.42510	−	9.91177i	−0.100022	−	0.695670i
$204$	−1.45216	+	0.933249i	−0.101672	+	0.0653405i
$205$	−1.44439	+	1.66692i	−0.100881	+	0.116423i
$206$	15.4218			1.07449
$207$	3.56989	+	3.20248i	0.248125	+	0.222588i
$208$	−2.36194			−0.163771
$209$	0.847860	−	0.978483i	0.0586477	−	0.0676831i
$210$	2.70489	−	1.73833i	0.186655	−	0.119956i
$211$	−2.13184	−	14.8273i	−0.146762	−	1.02075i	−0.921475	−	0.388438i	$-0.873015\pi$
$211$	−2.13184	−	14.8273i	−0.146762	−	1.02075i	0.774713	−	0.632313i	$-0.217894\pi$
$212$	2.57062	+	5.62888i	0.176551	+	0.386593i
$213$	−0.497997	+	3.46364i	−0.0341222	+	0.237325i
$214$	10.0428	−	2.94884i	0.686514	−	0.201579i
$215$	12.5467	+	8.06326i	0.855676	+	0.549910i
$216$	0.415415	−	0.909632i	0.0282654	−	0.0618926i
$217$	−0.865499	−	0.254133i	−0.0587539	−	0.0172517i
$218$	−1.95236	−	2.25315i	−0.132231	−	0.152602i
$219$	2.89308	+	3.33880i	0.195496	+	0.225615i
$220$	1.61449	+	0.474058i	0.108849	+	0.0319610i
$221$	−1.69372	+	3.70872i	−0.113932	+	0.249475i
$222$	−9.63157	−	6.18984i	−0.646429	−	0.415435i
$223$	−12.1410	+	3.56492i	−0.813023	+	0.238725i	−0.661709	−	0.749761i	$-0.730169\pi$
$223$	−12.1410	+	3.56492i	−0.813023	+	0.238725i	−0.151314	+	0.988486i	$0.548350\pi$
$224$	0.142315	−	0.989821i	0.00950881	−	0.0661352i
$225$	2.21758	+	4.85582i	0.147838	+	0.323721i
$226$	−1.30313	−	9.06347i	−0.0866830	−	0.602893i
$227$	19.5844	−	12.5862i	1.29986	−	0.835372i	0.306668	−	0.951817i	$-0.400786\pi$
$227$	19.5844	−	12.5862i	1.29986	−	0.835372i	0.993197	+	0.116444i	$0.0371496\pi$
$228$	1.62014	−	1.86974i	0.107296	−	0.123827i
$229$	−20.0769			−1.32672			−0.663358	−	0.748302i	$-0.730869\pi$
$229$	−20.0769			−1.32672			−0.663358	+	0.748302i	$0.730869\pi$
$230$	−8.55862	+	12.8269i	−0.564339	+	0.845780i
$231$	0.523326			0.0344323
$232$	6.55757	−	7.56784i	0.430526	−	0.496853i
$233$	−4.45410	+	2.86248i	−0.291798	+	0.187527i	−0.678347	−	0.734742i	$-0.737303\pi$
$233$	−4.45410	+	2.86248i	−0.291798	+	0.187527i	0.386549	+	0.922269i	$0.373667\pi$
$234$	−0.336140	−	2.33790i	−0.0219741	−	0.152833i
$235$	14.8114	+	32.4324i	0.966187	+	2.11566i
$236$	−1.29560	+	9.01109i	−0.0843363	+	0.586572i
$237$	6.83800	−	2.00782i	0.444176	−	0.130422i
$238$	−1.45216	−	0.933249i	−0.0941298	−	0.0604936i
$239$	−6.94595	+	15.2095i	−0.449296	+	0.983821i	0.540502	+	0.841343i	$0.318234\pi$
$239$	−6.94595	+	15.2095i	−0.449296	+	0.983821i	−0.989798	+	0.142478i	$0.954493\pi$
$240$	3.08507	+	0.905858i	0.199140	+	0.0584729i
$241$	13.2196	+	15.2562i	0.851550	+	0.982741i	0.999981	−	0.00618161i	$-0.00196768\pi$
$241$	13.2196	+	15.2562i	0.851550	+	0.982741i	−0.148431	+	0.988923i	$0.547422\pi$
$242$	−7.02412	−	8.10627i	−0.451528	−	0.521091i
$243$	0.959493	+	0.281733i	0.0615515	+	0.0180732i
$244$	1.40573	−	3.07811i	0.0899925	−	0.197056i
$245$	2.70489	+	1.73833i	0.172809	+	0.111058i
$246$	−0.658196	+	0.193264i	−0.0419650	+	0.0123220i
$247$	0.831616	−	5.78402i	0.0529145	−	0.368028i
$248$	−0.374720	−	0.820522i	−0.0237947	−	0.0521032i
$249$	0.357375	+	2.48560i	0.0226477	+	0.157518i
$250$	−0.914848	+	0.587937i	−0.0578601	+	0.0371844i
$251$	7.17781	−	8.28364i	0.453060	−	0.522859i	−0.482563	−	0.875861i	$-0.660294\pi$
$251$	7.17781	−	8.28364i	0.453060	−	0.522859i	0.935622	+	0.353003i	$0.114839\pi$
$252$	1.00000			0.0629941
$253$	−2.30057	+	1.00318i	−0.144636	+	0.0630693i
$254$	−16.9850			−1.06573
$255$	3.63463	−	4.19459i	0.227610	−	0.262675i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−1.00575	−	6.99513i	−0.0627369	−	0.436344i	−0.996846	−	0.0793574i	$-0.974713\pi$
$257$	−1.00575	−	6.99513i	−0.0627369	−	0.436344i	0.934109	−	0.356987i	$-0.116196\pi$
$258$	1.92691	+	4.21934i	0.119964	+	0.262685i
$259$	1.62937	−	11.3325i	0.101244	−	0.704170i
$260$	7.28675	−	2.13958i	0.451905	−	0.132691i
$261$	8.42405	+	5.41381i	0.521436	+	0.335107i
$262$	5.34130	−	11.6958i	0.329986	−	0.722569i
$263$	5.98008	+	1.75591i	0.368747	+	0.108274i	0.460856	−	0.887475i	$-0.347543\pi$
$263$	5.98008	+	1.75591i	0.368747	+	0.108274i	−0.0921086	+	0.995749i	$0.529361\pi$
$264$	0.342705	+	0.395503i	0.0210921	+	0.0243415i
$265$	−13.0295	−	15.0368i	−0.800396	−	0.923706i
$266$	2.37381	+	0.697012i	0.145547	+	0.0427366i
$267$	−5.78978	+	12.6778i	−0.354329	+	0.775872i
$268$	−2.90443	−	1.86656i	−0.177416	−	0.114019i
$269$	11.4643	−	3.36624i	0.698994	−	0.205243i	0.0871191	−	0.996198i	$-0.472234\pi$
$269$	11.4643	−	3.36624i	0.698994	−	0.205243i	0.611874	+	0.790955i	$0.290416\pi$
$270$	−0.457586	+	3.18258i	−0.0278478	+	0.193686i
$271$	2.18212	+	4.77818i	0.132554	+	0.290254i	0.964257	−	0.264967i	$-0.0853610\pi$
$271$	2.18212	+	4.77818i	0.132554	+	0.290254i	−0.831703	+	0.555221i	$0.812634\pi$
$272$	−0.245663	−	1.70862i	−0.0148955	−	0.103600i
$273$	1.98699	−	1.27696i	0.120258	−	0.0772853i
$274$	9.01673	−	10.4059i	0.544720	−	0.628641i
$275$	−2.79363			−0.168462
$276$	−4.39606	+	1.91693i	−0.264612	+	0.115386i
$277$	20.7701			1.24796			0.623978	−	0.781442i	$-0.285515\pi$
$277$	20.7701			1.24796			0.623978	+	0.781442i	$0.285515\pi$
$278$	−9.36505	+	10.8078i	−0.561679	+	0.648212i
$279$	0.758842	−	0.487678i	0.0454307	−	0.0291965i
$280$	0.457586	+	3.18258i	0.0273460	+	0.190196i
$281$	6.96424	+	15.2496i	0.415452	+	0.909713i	0.995467	+	0.0951071i	$0.0303193\pi$
$281$	6.96424	+	15.2496i	0.415452	+	0.909713i	−0.580015	+	0.814606i	$0.696953\pi$
$282$	−1.57812	+	10.9761i	−0.0939758	+	0.653616i
$283$	13.6943	−	4.02102i	0.814043	−	0.239025i	0.151894	−	0.988397i	$-0.451463\pi$
$283$	13.6943	−	4.02102i	0.814043	−	0.239025i	0.662149	+	0.749372i	$0.269645\pi$
$284$	−2.94376	−	1.89184i	−0.174680	−	0.112260i
$285$	−3.30452	+	7.23589i	−0.195743	+	0.428617i
$286$	1.18600	+	0.348240i	0.0701294	+	0.0205919i
$287$	−0.449223	−	0.518431i	−0.0265168	−	0.0306020i
$288$	0.654861	+	0.755750i	0.0385880	+	0.0445330i
$289$	13.4523	+	3.94997i	0.791314	+	0.232351i
$290$	−13.3752	+	29.2875i	−0.785417	+	1.71982i
$291$	0.201042	+	0.129202i	0.0117853	+	0.00757395i
$292$	−4.23890	+	1.24465i	−0.248063	+	0.0728379i
$293$	−1.11743	+	7.77187i	−0.0652808	+	0.454038i	0.930796	+	0.365540i	$0.119116\pi$
$293$	−1.11743	+	7.77187i	−0.0652808	+	0.454038i	−0.996076	+	0.0884977i	$0.971793\pi$
$294$	0.415415	+	0.909632i	0.0242275	+	0.0530508i
$295$	−4.16575	−	28.9734i	−0.242539	−	1.68690i
$296$	9.63157	−	6.18984i	0.559824	−	0.359777i
$297$	−0.342705	+	0.395503i	−0.0198858	+	0.0229494i
$298$	14.7124			0.852266
$299$	−6.28710	+	9.42254i	−0.363592	+	0.544919i
$300$	−5.33822			−0.308202
$301$	−3.03758	+	3.50556i	−0.175083	+	0.202057i
$302$	−1.14203	+	0.733937i	−0.0657163	+	0.0422333i
$303$	−1.06330	−	7.39538i	−0.0610847	−	0.424854i
$304$	1.02775	+	2.25045i	0.0589452	+	0.129072i
$305$	−1.54843	+	10.7696i	−0.0886629	+	0.616664i
$306$	1.65627	−	0.486324i	0.0946825	−	0.0278013i
$307$	21.9651	+	14.1161i	1.25361	+	0.805648i	0.987397	−	0.158265i	$-0.0505900\pi$
$307$	21.9651	+	14.1161i	1.25361	+	0.805648i	0.266216	+	0.963913i	$0.414226\pi$
$308$	−0.217397	+	0.476034i	−0.0123874	+	0.0271245i
$309$	−14.7971	−	4.34483i	−0.841780	−	0.247169i
$310$	1.89931	+	2.19192i	0.107874	+	0.124493i
$311$	−15.4502	−	17.8305i	−0.876100	−	1.01107i	−0.999824	−	0.0187569i	$-0.994029\pi$
$311$	−15.4502	−	17.8305i	−0.876100	−	1.01107i	0.123724	−	0.992317i	$-0.460516\pi$
$312$	2.26627	+	0.665436i	0.128302	+	0.0376729i
$313$	10.0193	−	21.9393i	0.566326	−	1.24008i	−0.382405	−	0.923995i	$-0.624904\pi$
$313$	10.0193	−	21.9393i	0.566326	−	1.24008i	0.948731	−	0.316086i	$-0.102369\pi$
$314$	−12.4935	−	8.02911i	−0.705051	−	0.453109i
$315$	−3.08507	+	0.905858i	−0.173824	+	0.0510393i
$316$	−1.01423	+	7.05414i	−0.0570551	+	0.396827i
$317$	6.65508	+	14.5726i	0.373786	+	0.818478i	0.999269	+	0.0382397i	$0.0121750\pi$
$317$	6.65508	+	14.5726i	0.373786	+	0.818478i	−0.625482	+	0.780239i	$0.715098\pi$
$318$	−0.880656	−	6.12510i	−0.0493847	−	0.343478i
$319$	−4.40852	+	2.83319i	−0.246830	+	0.158628i
$320$	−2.10558	+	2.42997i	−0.117706	+	0.135839i
$321$	−10.4668			−0.584201
$322$	−3.56989	−	3.20248i	−0.198942	−	0.178467i
$323$	4.27063			0.237624
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	−10.6070	+	6.81671i	−0.588371	+	0.378123i
$326$	2.53053	+	17.6003i	0.140153	+	0.974788i
$327$	1.23849	+	2.71192i	0.0684889	+	0.149970i
$328$	0.0976256	−	0.679001i	0.00539047	−	0.0374915i
$329$	−10.6398	+	3.12412i	−0.586589	+	0.172238i
$330$	−1.41554	−	0.909711i	−0.0779228	−	0.0500780i
$331$	4.56185	−	9.98905i	0.250742	−	0.549048i	−0.741847	−	0.670569i	$-0.766050\pi$
$331$	4.56185	−	9.98905i	0.250742	−	0.549048i	0.992589	+	0.121521i	$0.0387773\pi$
$332$	−2.40944	−	0.707475i	−0.132235	−	0.0388277i
$333$	7.49755	+	8.65263i	0.410863	+	0.474161i
$334$	−16.7302	−	19.3077i	−0.915435	−	1.05647i
$335$	10.6512	+	3.12748i	0.581937	+	0.170872i
$336$	−0.415415	+	0.909632i	−0.0226627	+	0.0496245i
$337$	−5.13487	−	3.29998i	−0.279714	−	0.179761i	0.393260	−	0.919427i	$-0.371347\pi$
$337$	−5.13487	−	3.29998i	−0.279714	−	0.179761i	−0.672974	+	0.739666i	$0.734984\pi$
$338$	−7.12061	+	2.09080i	−0.387310	+	0.113725i
$339$	−1.30313	+	9.06347i	−0.0707763	+	0.492260i
$340$	2.30565	+	5.04868i	0.125042	+	0.273803i
$341$	0.0671810	+	0.467254i	0.00363806	+	0.0253032i
$342$	−2.08128	+	1.33756i	−0.112543	+	0.0723268i
$343$	−0.654861	+	0.755750i	−0.0353592	+	0.0408066i
$344$	−4.63852			−0.250092
$345$	11.8257	−	9.89607i	0.636674	−	0.532786i
$346$	8.85744			0.476179
$347$	8.04218	−	9.28117i	0.431727	−	0.498239i	−0.497647	−	0.867380i	$-0.665802\pi$
$347$	8.04218	−	9.28117i	0.431727	−	0.498239i	0.929374	+	0.369141i	$0.120348\pi$
$348$	−8.42405	+	5.41381i	−0.451577	+	0.290211i
$349$	2.54629	+	17.7098i	0.136300	+	0.947985i	0.937102	+	0.349056i	$0.113498\pi$
$349$	2.54629	+	17.7098i	0.136300	+	0.947985i	−0.800802	+	0.598929i	$0.795593\pi$
$350$	−2.21758	−	4.85582i	−0.118534	−	0.259554i
$351$	−0.336140	+	2.33790i	−0.0179418	+	0.124788i
$352$	−0.502127	+	0.147438i	−0.0267635	+	0.00785846i
$353$	−6.17854	−	3.97071i	−0.328851	−	0.211339i	0.365788	−	0.930698i	$-0.380799\pi$
$353$	−6.17854	−	3.97071i	−0.328851	−	0.211339i	−0.694639	+	0.719359i	$0.744436\pi$
$354$	3.78183	−	8.28106i	0.201002	−	0.440133i
$355$	10.7955	+	3.16983i	0.572963	+	0.168237i
$356$	−9.12702	−	10.5331i	−0.483731	−	0.558255i
$357$	1.13041	+	1.30457i	0.0598279	+	0.0690451i
$358$	−17.1717	−	5.04206i	−0.907551	−	0.266481i
$359$	−5.15837	+	11.2953i	−0.272249	+	0.596141i	−0.995534	−	0.0944085i	$-0.969904\pi$
$359$	−5.15837	+	11.2953i	−0.272249	+	0.596141i	0.723285	+	0.690550i	$0.242631\pi$
$360$	−2.70489	−	1.73833i	−0.142560	−	0.0916179i
$361$	12.3575	−	3.62850i	0.650396	−	0.190973i
$362$	0.429963	−	2.99046i	0.0225984	−	0.157175i
$363$	4.45580	+	9.75683i	0.233869	+	0.512101i
$364$	0.336140	+	2.33790i	0.0176185	+	0.122539i
$365$	11.9498	−	7.67969i	0.625483	−	0.401973i
$366$	−2.21599	+	2.55739i	−0.115832	+	0.133677i
$367$	−4.58350			−0.239257			−0.119628	−	0.992819i	$-0.538170\pi$
$367$	−4.58350			−0.239257			−0.119628	+	0.992819i	$0.538170\pi$
$368$	0.0824894	−	4.79512i	0.00430006	−	0.249963i
$369$	0.685983			0.0357109
$370$	−24.1069	+	27.8209i	−1.25326	+	1.44634i
$371$	5.20575	−	3.34553i	0.270269	−	0.173691i
$372$	0.128373	+	0.892856i	0.00665585	+	0.0462924i
$373$	0.676723	+	1.48182i	0.0350394	+	0.0767255i	0.926342	−	0.376683i	$-0.122935\pi$
$373$	0.676723	+	1.48182i	0.0350394	+	0.0767255i	−0.891303	+	0.453408i	$0.850208\pi$
$374$	−0.128562	+	0.894165i	−0.00664776	+	0.0462362i
$375$	1.04343	−	0.306379i	0.0538826	−	0.0158213i
$376$	−9.32861	−	5.99514i	−0.481087	−	0.309176i
$377$	−9.82530	+	21.5144i	−0.506029	+	1.10805i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	−3.01762	−	3.48252i	−0.155005	−	0.178885i	0.672936	−	0.739701i	$-0.265033\pi$
$379$	−3.01762	−	3.48252i	−0.155005	−	0.178885i	−0.827941	+	0.560816i	$0.810488\pi$
$380$	−5.20925	−	6.01179i	−0.267229	−	0.308399i
$381$	16.2970	+	4.78523i	0.834921	+	0.245155i
$382$	−0.823038	+	1.80220i	−0.0421103	+	0.0922087i
$383$	29.4324	+	18.9150i	1.50392	+	0.966513i	0.994357	+	0.106082i	$0.0338307\pi$
$383$	29.4324	+	18.9150i	1.50392	+	0.966513i	0.509567	+	0.860431i	$0.329806\pi$
$384$	−0.959493	+	0.281733i	−0.0489639	+	0.0143771i
$385$	0.239467	−	1.66553i	0.0122044	−	0.0848831i
$386$	−0.443947	−	0.972109i	−0.0225963	−	0.0494790i
$387$	−0.660130	−	4.59130i	−0.0335563	−	0.233389i
$388$	−0.201042	+	0.129202i	−0.0102064	+	0.00655923i
$389$	2.40960	−	2.78083i	0.122172	−	0.140994i	−0.691369	−	0.722502i	$-0.742992\pi$
$389$	2.40960	−	2.78083i	0.122172	−	0.140994i	0.813540	+	0.581509i	$0.197537\pi$
$390$	−7.59438			−0.384556
$391$	−7.47014	−	3.56804i	−0.377781	−	0.180443i
$392$	−1.00000			−0.0505076
$393$	−8.42003	+	9.71723i	−0.424734	+	0.490169i
$394$	−12.6614	+	8.13701i	−0.637874	+	0.409936i
$395$	−3.26107	−	22.6813i	−0.164082	−	1.14122i
$396$	−0.217397	−	0.476034i	−0.0109246	−	0.0239216i
$397$	−1.98037	+	13.7738i	−0.0993919	+	0.691286i	0.877815	+	0.478999i	$0.159000\pi$
$397$	−1.98037	+	13.7738i	−0.0993919	+	0.691286i	−0.977207	+	0.212287i	$0.931909\pi$
$398$	−9.29222	+	2.72844i	−0.465777	+	0.136764i
$399$	−2.08128	−	1.33756i	−0.104194	−	0.0669616i
$400$	2.21758	−	4.85582i	0.110879	−	0.242791i
$401$	−22.0577	−	6.47672i	−1.10151	−	0.323432i	−0.320057	−	0.947398i	$-0.603702\pi$
$401$	−22.0577	−	6.47672i	−1.10151	−	0.323432i	−0.781451	+	0.623966i	$0.785520\pi$
$402$	2.26091	+	2.60923i	0.112764	+	0.130136i
$403$	1.39522	+	1.61017i	0.0695009	+	0.0802083i
$404$	7.16878	+	2.10494i	0.356660	+	0.104725i
$405$	1.33569	−	2.92475i	0.0663709	−	0.145332i
$406$	−8.42405	−	5.41381i	−0.418079	−	0.268683i
$407$	−5.74889	+	1.68803i	−0.284962	+	0.0836724i
$408$	−0.245663	+	1.70862i	−0.0121621	+	0.0845893i
$409$	−10.6382	−	23.2944i	−0.526026	−	1.15184i	−0.967107	−	0.254369i	$-0.918132\pi$
$409$	−10.6382	−	23.2944i	−0.526026	−	1.15184i	0.441082	−	0.897467i	$-0.354595\pi$
$410$	0.313896	+	2.18320i	0.0155022	+	0.107820i
$411$	−11.5832	+	7.44404i	−0.571355	+	0.367187i
$412$	10.0992	−	11.6550i	0.497550	−	0.574203i
$413$	9.10375			0.447966
$414$	4.75805	−	0.600767i	0.233846	−	0.0295261i
$415$	8.07415			0.396344
$416$	−1.54674	+	1.78504i	−0.0758354	+	0.0875187i
$417$	12.0306	−	7.73161i	0.589142	−	0.378619i
$418$	−0.184258	−	1.28154i	−0.00901233	−	0.0626822i
$419$	13.2452	+	29.0029i	0.647068	+	1.41688i	0.894097	+	0.447874i	$0.147819\pi$
$419$	13.2452	+	29.0029i	0.647068	+	1.41688i	−0.247028	+	0.969008i	$0.579454\pi$
$420$	0.457586	−	3.18258i	0.0223279	−	0.155294i
$421$	−2.62913	+	0.771981i	−0.128136	+	0.0376240i	−0.345172	−	0.938540i	$-0.612179\pi$
$421$	−2.62913	+	0.771981i	−0.128136	+	0.0376240i	0.217036	+	0.976164i	$0.430361\pi$
$422$	−12.6018	−	8.09866i	−0.613444	−	0.394237i
$423$	4.60651	−	10.0869i	0.223976	−	0.490440i
$424$	5.93742	+	1.74338i	0.288347	+	0.0846662i
$425$	−6.03440	−	6.96407i	−0.292711	−	0.337807i
$426$	2.29153	+	2.64456i	0.111025	+	0.128130i
$427$	−3.24684	−	0.953358i	−0.157126	−	0.0461362i
$428$	4.34807	−	9.52095i	0.210172	−	0.460213i
$429$	−1.03984	−	0.668267i	−0.0502042	−	0.0322643i
$430$	14.3101	−	4.20183i	0.690096	−	0.202630i
$431$	−2.65065	+	18.4357i	−0.127677	+	0.888016i	0.820810	+	0.571201i	$0.193522\pi$
$431$	−2.65065	+	18.4357i	−0.127677	+	0.888016i	−0.948488	+	0.316814i	$0.897387\pi$
$432$	−0.415415	−	0.909632i	−0.0199867	−	0.0437647i
$433$	−0.830959	−	5.77945i	−0.0399334	−	0.277743i	0.960065	−	0.279779i	$-0.0902610\pi$
$433$	−0.830959	−	5.77945i	−0.0399334	−	0.277743i	−0.999998	+	0.00203593i	$0.999352\pi$
$434$	−0.758842	+	0.487678i	−0.0364256	+	0.0234093i
$435$	21.0846	−	24.3330i	1.01093	−	1.16668i
$436$	−2.98134			−0.142780
$437$	11.7134	+	1.89032i	0.560330	+	0.0904261i
$438$	4.41786			0.211093
$439$	5.90800	−	6.81820i	0.281974	−	0.325415i	−0.597040	−	0.802211i	$-0.703657\pi$
$439$	5.90800	−	6.81820i	0.281974	−	0.325415i	0.879014	+	0.476797i	$0.158202\pi$
$440$	1.41554	−	0.909711i	0.0674832	−	0.0433688i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	1.69372	+	3.70872i	0.0805618	+	0.176406i
$443$	2.73203	−	19.0017i	0.129803	−	0.902797i	−0.815999	−	0.578053i	$-0.803813\pi$
$443$	2.73203	−	19.0017i	0.129803	−	0.902797i	0.945802	−	0.324744i	$-0.105278\pi$
$444$	−10.9853	+	3.22558i	−0.521340	+	0.153079i
$445$	37.6990	+	24.2277i	1.78710	+	1.14850i
$446$	−5.25648	+	11.5101i	−0.248902	+	0.545019i
$447$	−14.1164	−	4.14496i	−0.667684	−	0.196050i
$448$	−0.654861	−	0.755750i	−0.0309393	−	0.0357058i
$449$	−23.9147	−	27.5990i	−1.12860	−	1.30248i	−0.947767	−	0.318965i	$-0.896665\pi$
$449$	−23.9147	−	27.5990i	−1.12860	−	1.30248i	−0.180837	−	0.983513i	$-0.557881\pi$
$450$	5.12198	+	1.50395i	0.241453	+	0.0708969i
$451$	−0.149131	+	0.326551i	−0.00702230	+	0.0153767i
$452$	−7.70309	−	4.95047i	−0.362323	−	0.232851i
$453$	1.30254	−	0.382461i	0.0611988	−	0.0179696i
$454$	3.31310	−	23.0431i	0.155491	−	1.08147i
$455$	−3.15482	−	6.90809i	−0.147900	−	0.323856i
$456$	−0.352090	−	2.44884i	−0.0164881	−	0.114677i
$457$	13.8235	−	8.88385i	0.646638	−	0.415569i	−0.175799	−	0.984426i	$-0.556251\pi$
$457$	13.8235	−	8.88385i	0.646638	−	0.415569i	0.822436	+	0.568857i	$0.192614\pi$
$458$	−13.1476	+	15.1731i	−0.614345	+	0.708992i
$459$	−1.72619			−0.0805717
$460$	4.08921	+	14.8680i	0.190661	+	0.693224i
$461$	−1.50503			−0.0700964			−0.0350482	−	0.999386i	$-0.511158\pi$
$461$	−1.50503			−0.0700964			−0.0350482	+	0.999386i	$0.511158\pi$
$462$	0.342705	−	0.395503i	0.0159441	−	0.0184005i
$463$	13.8769	−	8.91815i	0.644915	−	0.414462i	−0.176890	−	0.984231i	$-0.556604\pi$
$463$	13.8769	−	8.91815i	0.644915	−	0.414462i	0.821805	+	0.569769i	$0.192967\pi$
$464$	−1.42510	−	9.91177i	−0.0661585	−	0.460142i
$465$	−1.20484	−	2.63823i	−0.0558732	−	0.122345i
$466$	−0.753500	+	5.24071i	−0.0349052	+	0.242771i
$467$	13.5792	−	3.98720i	0.628368	−	0.184506i	0.0479837	−	0.998848i	$-0.484720\pi$
$467$	13.5792	−	3.98720i	0.628368	−	0.184506i	0.580385	+	0.814343i	$0.302902\pi$
$468$	−1.98699	−	1.27696i	−0.0918488	−	0.0590276i
$469$	−1.43422	+	3.14051i	−0.0662262	+	0.145015i
$470$	34.2101	+	10.0450i	1.57800	+	0.463341i
$471$	9.72540	+	11.2237i	0.448123	+	0.517161i
$472$	5.96169	+	6.88015i	0.274409	+	0.316685i
$473$	2.32912	+	0.683893i	0.107093	+	0.0314454i
$474$	2.96053	−	6.48266i	0.135982	−	0.297758i
$475$	11.1103	+	7.14017i	0.509777	+	0.327613i
$476$	−1.65627	+	0.486324i	−0.0759149	+	0.0222906i
$477$	−0.880656	+	6.12510i	−0.0403225	+	0.280449i
$478$	6.94595	+	15.2095i	0.317700	+	0.695667i
$479$	−1.01199	−	7.03855i	−0.0462390	−	0.321599i	−0.999792	−	0.0203753i	$-0.993514\pi$
$479$	−1.01199	−	7.03855i	−0.0462390	−	0.321599i	0.953553	−	0.301224i	$-0.0973952\pi$
$480$	2.70489	−	1.73833i	0.123461	−	0.0793435i
$481$	−17.7088	+	20.4370i	−0.807451	+	0.931848i
$482$	20.1869			0.919488
$483$	2.52304	+	4.07851i	0.114802	+	0.185579i
$484$	−10.7261			−0.487551
$485$	0.503190	−	0.580712i	0.0228487	−	0.0263688i
$486$	0.841254	−	0.540641i	0.0381600	−	0.0245240i
$487$	1.47188	+	10.2372i	0.0666973	+	0.463890i	0.995611	+	0.0935924i	$0.0298351\pi$
$487$	1.47188	+	10.2372i	0.0666973	+	0.463890i	−0.928913	+	0.370297i	$0.879256\pi$
$488$	−1.40573	−	3.07811i	−0.0636343	−	0.139340i
$489$	2.53053	−	17.6003i	0.114435	−	0.795911i
$490$	3.08507	−	0.905858i	0.139369	−	0.0409225i
$491$	17.1266	+	11.0066i	0.772913	+	0.496721i	0.866675	−	0.498874i	$-0.166253\pi$
$491$	17.1266	+	11.0066i	0.772913	+	0.496721i	−0.0937620	+	0.995595i	$0.529889\pi$
$492$	−0.284968	+	0.623992i	−0.0128473	+	0.0281317i
$493$	−16.5854	−	4.86990i	−0.746967	−	0.219329i
$494$	−3.82668	−	4.41622i	−0.172170	−	0.198695i
$495$	1.10190	+	1.27167i	0.0495269	+	0.0571571i
$496$	−0.865499	−	0.254133i	−0.0388620	−	0.0114109i
$497$	−1.45364	+	3.18304i	−0.0652049	+	0.142779i
$498$	2.11252	+	1.35763i	0.0946643	+	0.0608371i
$499$	12.6482	−	3.71384i	0.566210	−	0.166254i	0.0139151	−	0.999903i	$-0.495571\pi$
$499$	12.6482	−	3.71384i	0.566210	−	0.166254i	0.552295	+	0.833649i	$0.313752\pi$
$500$	−0.154765	+	1.07641i	−0.00692129	+	0.0481386i
$501$	10.6129	+	23.2390i	0.474149	+	1.03824i
$502$	−1.55989	−	10.8493i	−0.0696212	−	0.484226i
$503$	12.8027	−	8.22781i	0.570845	−	0.366860i	−0.223150	−	0.974784i	$-0.571634\pi$
$503$	12.8027	−	8.22781i	0.570845	−	0.366860i	0.793995	+	0.607924i	$0.207998\pi$
$504$	0.654861	−	0.755750i	0.0291698	−	0.0336638i
$505$	−24.0230			−1.06901
$506$	−0.748403	+	2.39560i	−0.0332706	+	0.106497i
$507$	7.42122			0.329588
$508$	−11.1228	+	12.8364i	−0.493495	+	0.569524i
$509$	−9.97094	+	6.40793i	−0.441954	+	0.284027i	−0.742633	−	0.669699i	$-0.766423\pi$
$509$	−9.97094	+	6.40793i	−0.441954	+	0.284027i	0.300679	+	0.953725i	$0.402787\pi$
$510$	−0.789881	−	5.49375i	−0.0349765	−	0.243267i
$511$	1.83525	+	4.01863i	0.0811865	+	0.177774i
$512$	0.142315	−	0.989821i	0.00628949	−	0.0437443i
$513$	2.37381	−	0.697012i	0.104806	−	0.0307738i
$514$	−5.94519	−	3.82074i	−0.262231	−	0.168526i
$515$	−20.5988	+	45.1050i	−0.907690	+	1.98756i
$516$	4.45062	+	1.30682i	0.195928	+	0.0575296i
$517$	3.80024	+	4.38571i	0.167134	+	0.192883i
$518$	−7.49755	−	8.65263i	−0.329423	−	0.380175i
$519$	−8.49866	−	2.49543i	−0.373050	−	0.109537i
$520$	3.15482	−	6.90809i	0.138348	−	0.302940i
$521$	20.2496	+	13.0136i	0.887150	+	0.570137i	0.902954	−	0.429738i	$-0.141394\pi$
$521$	20.2496	+	13.0136i	0.887150	+	0.570137i	−0.0158032	+	0.999875i	$0.505031\pi$
$522$	9.60807	−	2.82118i	0.420534	−	0.123480i
$523$	−0.157860	+	1.09794i	−0.00690273	+	0.0480095i	−0.992982	−	0.118268i	$-0.962266\pi$
$523$	−0.157860	+	1.09794i	−0.00690273	+	0.0480095i	0.986079	+	0.166278i	$0.0531748\pi$
$524$	−5.34130	−	11.6958i	−0.233336	−	0.510934i
$525$	0.759708	+	5.28388i	0.0331564	+	0.230608i
$526$	5.24314	−	3.36956i	0.228612	−	0.146920i
$527$	−1.01968	+	1.17677i	−0.0444178	+	0.0512609i
$528$	0.523326			0.0227748
$529$	−18.9097	−	13.0929i	−0.822160	−	0.569256i
$530$	−19.8966			−0.864253
$531$	−5.96169	+	6.88015i	−0.258715	+	0.298573i
$532$	2.08128	−	1.33756i	0.0902349	−	0.0579904i
$533$	0.230586	+	1.60376i	0.00998779	+	0.0694666i
$534$	5.78978	+	12.6778i	0.250548	+	0.548624i
$535$	−4.78947	+	33.3115i	−0.207067	+	1.44018i
$536$	−3.31265	+	0.972682i	−0.143085	+	0.0420135i
$537$	15.0556	+	9.67564i	0.649696	+	0.417535i
$538$	4.96352	−	10.8686i	0.213992	−	0.468578i
$539$	0.502127	+	0.147438i	0.0216281	+	0.00635060i
$540$	2.10558	+	2.42997i	0.0906098	+	0.104569i
$541$	−1.74775	−	2.01701i	−0.0751415	−	0.0867179i	0.716934	−	0.697141i	$-0.245545\pi$
$541$	−1.74775	−	2.01701i	−0.0751415	−	0.0867179i	−0.792076	+	0.610423i	$0.790999\pi$
$542$	5.04009	+	1.47991i	0.216491	+	0.0635674i
$543$	−1.25506	+	2.74819i	−0.0538597	+	0.117936i
$544$	−1.45216	−	0.933249i	−0.0622610	−	0.0400127i
$545$	9.19764	−	2.70067i	0.393984	−	0.115684i
$546$	0.336140	−	2.33790i	0.0143854	−	0.100053i
$547$	18.9999	+	41.6040i	0.812378	+	1.77886i	0.596834	+	0.802365i	$0.296425\pi$
$547$	18.9999	+	41.6040i	0.812378	+	1.77886i	0.215543	+	0.976494i	$0.430848\pi$
$548$	−1.95952	−	13.6288i	−0.0837066	−	0.582192i
$549$	2.84673	−	1.82948i	0.121495	−	0.0780803i
$550$	−1.82944	+	2.11128i	−0.0780074	+	0.0900254i
$551$	24.7741			1.05541
$552$	−1.43009	+	4.57765i	−0.0608687	+	0.194838i
$553$	7.12668			0.303057
$554$	13.6015	−	15.6970i	0.577874	−	0.666903i
$555$	30.9685	−	19.9022i	1.31454	−	0.844803i
$556$	2.03522	+	14.1553i	0.0863126	+	0.600317i
$557$	−3.74461	−	8.19954i	−0.158664	−	0.347426i	0.813559	−	0.581483i	$-0.197527\pi$
$557$	−3.74461	−	8.19954i	−0.158664	−	0.347426i	−0.972223	+	0.234057i	$0.924800\pi$
$558$	0.128373	−	0.892856i	0.00543448	−	0.0377976i
$559$	10.5121	−	3.08664i	0.444615	−	0.130551i
$560$	2.70489	+	1.73833i	0.114303	+	0.0734578i
$561$	0.375269	−	0.821725i	0.0158439	−	0.0346933i
$562$	16.0855	+	4.72312i	0.678524	+	0.199233i
$563$	−22.3644	−	25.8099i	−0.942548	−	1.08776i	−0.996015	−	0.0891888i	$-0.971573\pi$
$563$	−22.3644	−	25.8099i	−0.942548	−	1.08776i	0.0534667	−	0.998570i	$-0.482973\pi$
$564$	7.26171	+	8.38046i	0.305773	+	0.352881i
$565$	28.2490	+	8.29464i	1.18844	+	0.348958i
$566$	5.92899	−	12.9827i	0.249214	−	0.545703i
$567$	0.841254	+	0.540641i	0.0353293	+	0.0227048i
$568$	−3.35751	+	0.985855i	−0.140878	+	0.0413656i
$569$	3.22284	−	22.4153i	0.135108	−	0.939699i	−0.803645	−	0.595109i	$-0.797109\pi$
$569$	3.22284	−	22.4153i	0.135108	−	0.939699i	0.938753	−	0.344590i	$-0.111982\pi$
$570$	3.30452	+	7.23589i	0.138411	+	0.303078i
$571$	1.87341	+	13.0299i	0.0783999	+	0.545283i	0.990732	+	0.135832i	$0.0433707\pi$
$571$	1.87341	+	13.0299i	0.0783999	+	0.545283i	−0.912332	+	0.409451i	$0.865720\pi$
$572$	1.03984	−	0.668267i	0.0434781	−	0.0279417i
$573$	1.29744	−	1.49732i	0.0542013	−	0.0625516i
$574$	−0.685983			−0.0286324
$575$	−13.4686	−	21.7720i	−0.561678	−	0.907955i
$576$	1.00000			0.0416667
$577$	0.778407	−	0.898329i	0.0324055	−	0.0373979i	−0.739315	−	0.673359i	$-0.764851\pi$
$577$	0.778407	−	0.898329i	0.0324055	−	0.0373979i	0.771721	+	0.635961i	$0.219396\pi$
$578$	11.7946	−	7.57993i	0.490591	−	0.315283i
$579$	0.152090	+	1.05781i	0.00632063	+	0.0439609i
$580$	13.3752	+	29.2875i	0.555374	+	1.21610i
$581$	−0.357375	+	2.48560i	−0.0148264	+	0.103120i
$582$	0.229299	−	0.0673282i	0.00950474	−	0.00279084i
$583$	−2.72430	−	1.75080i	−0.112829	−	0.0725108i
$584$	−1.83525	+	4.01863i	−0.0759430	+	0.166292i
$585$	7.28675	+	2.13958i	0.301270	+	0.0884609i
$586$	5.14183	+	5.93399i	0.212407	+	0.245131i
$587$	−20.9393	−	24.1653i	−0.864259	−	0.997408i	−0.999978	−	0.00666063i	$-0.997880\pi$
$587$	−20.9393	−	24.1653i	−0.864259	−	0.997408i	0.135719	−	0.990747i	$-0.456666\pi$
$588$	0.959493	+	0.281733i	0.0395688	+	0.0116185i
$589$	0.927065	−	2.02999i	0.0381990	−	0.0836442i
$590$	−24.6246	−	15.8253i	−1.01378	−	0.651517i
$591$	14.4410	−	4.24026i	0.594024	−	0.174421i
$592$	1.62937	−	11.3325i	0.0669668	−	0.465765i
$593$	7.44709	+	16.3068i	0.305815	+	0.669642i	0.998677	−	0.0514288i	$-0.0163775\pi$
$593$	7.44709	+	16.3068i	0.305815	+	0.669642i	−0.692861	+	0.721071i	$0.743650\pi$
$594$	0.0744770	+	0.517999i	0.00305583	+	0.0212538i
$595$	4.66916	−	3.00069i	0.191417	−	0.123016i
$596$	9.63457	−	11.1189i	0.394647	−	0.455447i
$597$	9.68451			0.396361
$598$	3.00391	+	10.9219i	0.122839	+	0.446631i
$599$	−42.4441			−1.73422			−0.867109	−	0.498119i	$-0.834024\pi$
$599$	−42.4441			−1.73422			−0.867109	+	0.498119i	$0.834024\pi$
$600$	−3.49579	+	4.03436i	−0.142715	+	0.164702i
$601$	−2.52541	+	1.62298i	−0.103014	+	0.0662028i	−0.591133	−	0.806574i	$-0.701319\pi$
$601$	−2.52541	+	1.62298i	−0.103014	+	0.0662028i	0.488120	+	0.872777i	$0.337683\pi$
$602$	0.660130	+	4.59130i	0.0269049	+	0.187127i
$603$	−1.43422	−	3.14051i	−0.0584060	−	0.127891i
$604$	−0.193197	+	1.34371i	−0.00786107	+	0.0546749i
$605$	33.0908	−	9.71635i	1.34533	−	0.395026i
$606$	−6.28537	−	4.03936i	−0.255326	−	0.164088i
$607$	8.32480	−	18.2288i	0.337893	−	0.739883i	−0.662061	−	0.749450i	$-0.730318\pi$
$607$	8.32480	−	18.2288i	0.337893	−	0.739883i	0.999954	+	0.00956695i	$0.00304530\pi$
$608$	2.37381	+	0.697012i	0.0962705	+	0.0282676i
$609$	6.55757	+	7.56784i	0.265726	+	0.306665i
$610$	7.12510	+	8.22280i	0.288487	+	0.332931i
$611$	25.1305	+	7.37899i	1.01667	+	0.298522i
$612$	0.717086	−	1.57020i	0.0289865	−	0.0634715i
$613$	−19.0591	−	12.2485i	−0.769790	−	0.494714i	0.0958410	−	0.995397i	$-0.469446\pi$
$613$	−19.0591	−	12.2485i	−0.769790	−	0.494714i	−0.865631	+	0.500683i	$0.833082\pi$
$614$	25.0523	−	7.35602i	1.01103	−	0.296865i
$615$	0.313896	−	2.18320i	0.0126575	−	0.0880350i
$616$	0.217397	+	0.476034i	0.00875919	+	0.0191799i
$617$	5.42672	+	37.7436i	0.218471	+	1.51950i	0.743684	+	0.668531i	$0.233077\pi$
$617$	5.42672	+	37.7436i	0.218471	+	1.51950i	−0.525213	+	0.850971i	$0.676014\pi$
$618$	−12.9737	+	8.33768i	−0.521878	+	0.335390i
$619$	−25.4222	+	29.3387i	−1.02180	+	1.17922i	−0.0381276	+	0.999273i	$0.512139\pi$
$619$	−25.4222	+	29.3387i	−1.02180	+	1.17922i	−0.983676	+	0.179951i	$0.942406\pi$
$620$	2.90033			0.116480
$621$	−4.73458	−	0.764067i	−0.189992	−	0.0306609i
$622$	−23.5931			−0.945997
$623$	−9.12702	+	10.5331i	−0.365666	+	0.422001i
$624$	1.98699	−	1.27696i	0.0795434	−	0.0511194i
$625$	3.30092	+	22.9584i	0.132037	+	0.918337i
$626$	−10.0193	−	21.9393i	−0.400453	−	0.876870i
$627$	−0.184258	+	1.28154i	−0.00735854	+	0.0511798i
$628$	−14.2495	+	4.18404i	−0.568618	+	0.166961i
$629$	−16.6259	−	10.6848i	−0.662919	−	0.426032i
$630$	−1.33569	+	2.92475i	−0.0532151	+	0.116525i
$631$	−24.7773	−	7.27527i	−0.986368	−	0.289624i	−0.251518	−	0.967853i	$-0.580930\pi$
$631$	−24.7773	−	7.27527i	−0.986368	−	0.289624i	−0.734851	+	0.678229i	$0.762748\pi$
$632$	4.66699	+	5.38599i	0.185643	+	0.214243i
$633$	9.80964	+	11.3209i	0.389898	+	0.449967i
$634$	15.3714	+	4.51344i	0.610475	+	0.179252i
$635$	22.6867	−	49.6769i	0.900294	−	1.97137i
$636$	−5.20575	−	3.34553i	−0.206421	−	0.132659i
$637$	2.26627	−	0.665436i	0.0897928	−	0.0263655i
$638$	−0.745790	+	5.18708i	−0.0295261	+	0.205359i
$639$	−1.45364	−	3.18304i	−0.0575053	−	0.125919i
$640$	0.457586	+	3.18258i	0.0180877	+	0.125803i
$641$	−4.18652	+	2.69051i	−0.165357	+	0.106269i	−0.620702	−	0.784046i	$-0.713152\pi$
$641$	−4.18652	+	2.69051i	−0.165357	+	0.106269i	0.455345	+	0.890315i	$0.349516\pi$
$642$	−6.85431	+	7.91029i	−0.270518	+	0.312194i
$643$	−8.55636			−0.337430			−0.168715	−	0.985665i	$-0.553962\pi$
$643$	−8.55636			−0.337430			−0.168715	+	0.985665i	$0.553962\pi$
$644$	−4.75805	+	0.600767i	−0.187494	+	0.0236735i
$645$	−14.9143			−0.587249
$646$	2.79667	−	3.22753i	0.110033	−	0.126985i
$647$	−28.6914	+	18.4388i	−1.12798	+	0.724906i	−0.965137	−	0.261747i	$-0.915701\pi$
$647$	−28.6914	+	18.4388i	−1.12798	+	0.724906i	−0.162839	+	0.986653i	$0.552065\pi$
$648$	0.142315	+	0.989821i	0.00559065	+	0.0388839i
$649$	−1.97913	−	4.33369i	−0.0776877	−	0.170112i
$650$	−1.79439	+	12.4802i	−0.0703816	+	0.489515i
$651$	0.865499	−	0.254133i	0.0339216	−	0.00996027i
$652$	14.9585	+	9.61326i	0.585821	+	0.376485i
$653$	−17.2721	+	37.8206i	−0.675908	+	1.48003i	0.191013	+	0.981588i	$0.438823\pi$
$653$	−17.2721	+	37.8206i	−0.675908	+	1.48003i	−0.866921	+	0.498445i	$0.833904\pi$
$654$	2.86058	+	0.839941i	0.111857	+	0.0328443i
$655$	27.0730	+	31.2439i	1.05783	+	1.22080i
$656$	−0.449223	−	0.518431i	−0.0175392	−	0.0202413i
$657$	−4.23890	−	1.24465i	−0.165375	−	0.0485586i
$658$	−4.60651	+	10.0869i	−0.179581	+	0.393227i
$659$	−31.9077	−	20.5058i	−1.24295	−	0.798793i	−0.257090	−	0.966387i	$-0.582764\pi$
$659$	−31.9077	−	20.5058i	−1.24295	−	0.798793i	−0.985856	+	0.167594i	$0.946400\pi$
$660$	−1.61449	+	0.474058i	−0.0628441	+	0.0184527i
$661$	−0.329309	+	2.29039i	−0.0128086	+	0.0890860i	−0.995223	−	0.0976277i	$-0.968875\pi$
$661$	−0.329309	+	2.29039i	−0.0128086	+	0.0890860i	0.982414	+	0.186714i	$0.0597837\pi$
$662$	−4.56185	−	9.98905i	−0.177301	−	0.388235i
$663$	−0.580241	−	4.03567i	−0.0225347	−	0.156732i
$664$	−2.11252	+	1.35763i	−0.0819817	+	0.0526864i
$665$	−5.20925	+	6.01179i	−0.202006	+	0.233127i
$666$	11.4491			0.443643
$667$	−43.3345	−	20.6983i	−1.67792	−	0.801442i
$668$	−25.5477			−0.988470
$669$	8.28633	−	9.56293i	0.320368	−	0.369724i
$670$	9.33864	−	6.00158i	0.360783	−	0.231861i
$671$	0.252023	+	1.75286i	0.00972926	+	0.0676685i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	−5.50116	+	38.2614i	−0.212054	+	1.47487i	0.554228	+	0.832365i	$0.313013\pi$
$673$	−5.50116	+	38.2614i	−0.212054	+	1.47487i	−0.766283	+	0.642504i	$0.777896\pi$
$674$	−5.85659	+	1.71965i	−0.225587	+	0.0662384i
$675$	−4.49080	−	2.88606i	−0.172851	−	0.111084i
$676$	−3.08289	+	6.75058i	−0.118573	+	0.259638i
$677$	35.5846	+	10.4486i	1.36763	+	0.401571i	0.881445	−	0.472287i	$-0.156571\pi$
$677$	35.5846	+	10.4486i	1.36763	+	0.401571i	0.486181	+	0.873858i	$0.338390\pi$
$678$	5.99635	+	6.92015i	0.230288	+	0.265767i
$679$	0.156498	+	0.180608i	0.00600585	+	0.00693112i
$680$	5.32542	+	1.56368i	0.204220	+	0.0599645i
$681$	−9.67089	+	21.1763i	−0.370589	+	0.811477i
$682$	0.397122	+	0.255215i	0.0152066	+	0.00977267i
$683$	−38.0472	+	11.1717i	−1.45584	+	0.427472i	−0.911467	−	0.411374i	$-0.865049\pi$
$683$	−38.0472	+	11.1717i	−1.45584	+	0.427472i	−0.544369	+	0.838846i	$0.683231\pi$
$684$	−0.352090	+	2.44884i	−0.0134625	+	0.0936337i
$685$	18.3910	+	40.2706i	0.702683	+	1.53866i
$686$	0.142315	+	0.989821i	0.00543361	+	0.0377916i
$687$	16.8897	−	10.8544i	0.644384	−	0.414120i
$688$	−3.03758	+	3.50556i	−0.115807	+	0.133648i
$689$	−14.6159			−0.556821
$690$	0.265229	−	15.4178i	0.0100971	−	0.586946i
$691$	−4.21567			−0.160372			−0.0801859	−	0.996780i	$-0.525551\pi$
$691$	−4.21567			−0.160372			−0.0801859	+	0.996780i	$0.525551\pi$
$692$	5.80039	−	6.69401i	0.220498	−	0.254468i
$693$	−0.440249	+	0.282931i	−0.0167237	+	0.0107477i
$694$	−1.74773	−	12.1557i	−0.0663430	−	0.461426i
$695$	−19.1015	−	41.8264i	−0.724559	−	1.58656i
$696$	−1.42510	+	9.91177i	−0.0540182	+	0.375705i
$697$	−1.13617	+	0.333610i	−0.0430356	+	0.0126364i
$698$	15.0517	+	9.67311i	0.569714	+	0.366133i
$699$	2.19946	−	4.81613i	0.0831910	−	0.182163i
$700$	−5.12198	−	1.50395i	−0.193593	−	0.0568440i
$701$	27.5422	+	31.7854i	1.04025	+	1.20052i	0.979308	+	0.202375i	$0.0648661\pi$
$701$	27.5422	+	31.7854i	1.04025	+	1.20052i	0.0609454	+	0.998141i	$0.480588\pi$
$702$	1.54674	+	1.78504i	0.0583781	+	0.0673719i
$703$	27.1779	+	7.98014i	1.02503	+	0.300977i
$704$	−0.217397	+	0.476034i	−0.00819347	+	0.0179412i
$705$	−29.9944	−	19.2762i	−1.12965	−	0.725985i
$706$	−7.04694	+	2.06917i	−0.265215	+	0.0778742i
$707$	1.06330	−	7.39538i	0.0399893	−	0.278132i
$708$	−3.78183	−	8.28106i	−0.142130	−	0.311221i
$709$	−7.47378	−	51.9813i	−0.280684	−	1.95220i	−0.304591	−	0.952483i	$-0.598520\pi$
$709$	−7.47378	−	51.9813i	−0.280684	−	1.95220i	0.0239072	−	0.999714i	$-0.492389\pi$
$710$	9.46512	−	6.08286i	0.355219	−	0.228286i
$711$	−4.66699	+	5.38599i	−0.175026	+	0.201990i
$712$	−13.9373			−0.522324
$713$	−3.31763	+	2.77629i	−0.124246	+	0.103973i
$714$	1.72619			0.0646011
$715$	−2.60263	+	3.00360i	−0.0973330	+	0.112328i
$716$	−15.0556	+	9.67564i	−0.562654	+	0.361596i
$717$	−2.37958	−	16.5503i	−0.0888669	−	0.618083i
$718$	5.15837	+	11.2953i	0.192509	+	0.421535i
$719$	−4.68428	+	32.5798i	−0.174694	+	1.21502i	0.694111	+	0.719868i	$0.255798\pi$
$719$	−4.68428	+	32.5798i	−0.174694	+	1.21502i	−0.868805	+	0.495155i	$0.835111\pi$
$720$	−3.08507	+	0.905858i	−0.114974	+	0.0337593i
$721$	−12.9737	−	8.33768i	−0.483165	−	0.310511i
$722$	5.35022	−	11.7154i	0.199115	−	0.436000i
$723$	−19.3692	−	5.68731i	−0.720348	−	0.211513i
$724$	−1.97847	−	2.28328i	−0.0735294	−	0.0848574i
$725$	−35.0058	−	40.3988i	−1.30008	−	1.50037i
$726$	10.2916	+	3.02190i	0.381959	+	0.112153i
$727$	5.31848	−	11.6458i	0.197251	−	0.431920i	−0.784998	−	0.619498i	$-0.787336\pi$
$727$	5.31848	−	11.6458i	0.197251	−	0.431920i	0.982250	+	0.187577i	$0.0600635\pi$
$728$	1.98699	+	1.27696i	0.0736429	+	0.0473274i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	2.02155	−	14.0602i	0.0748210	−	0.520391i
$731$	3.32621	+	7.28339i	0.123024	+	0.269386i
$732$	0.481581	+	3.34947i	0.0177997	+	0.123800i
$733$	44.7596	−	28.7652i	1.65323	−	1.06247i	0.726202	−	0.687481i	$-0.241284\pi$
$733$	44.7596	−	28.7652i	1.65323	−	1.06247i	0.927030	−	0.374987i	$-0.122353\pi$
$734$	−3.00155	+	3.46398i	−0.110789	+	0.127858i
$735$	−3.21531			−0.118599
$736$	−3.56989	−	3.20248i	−0.131588	−	0.118045i
$737$	1.80678			0.0665537
$738$	0.449223	−	0.518431i	0.0165361	−	0.0190837i
$739$	−9.23311	+	5.93376i	−0.339645	+	0.218277i	−0.699333	−	0.714796i	$-0.746520\pi$
$739$	−9.23311	+	5.93376i	−0.339645	+	0.218277i	0.359688	+	0.933073i	$0.382883\pi$
$740$	5.23894	+	36.4376i	0.192587	+	1.33947i
$741$	2.42748	+	5.31543i	0.0891756	+	0.195267i
$742$	0.880656	−	6.12510i	0.0323299	−	0.224859i
$743$	−44.5163	+	13.0712i	−1.63314	+	0.479534i	−0.964507	−	0.264056i	$-0.914940\pi$
$743$	−44.5163	+	13.0712i	−1.63314	+	0.479534i	−0.668636	+	0.743590i	$0.733121\pi$
$744$	0.758842	+	0.487678i	0.0278205	+	0.0178792i
$745$	−19.6512	+	43.0300i	−0.719963	+	1.57650i
$746$	1.56304	+	0.458950i	0.0572270	+	0.0168034i
$747$	−1.64446	−	1.89781i	−0.0601676	−	0.0694371i
$748$	0.591575	+	0.682714i	0.0216301	+	0.0249625i
$749$	−10.0428	−	2.94884i	−0.366957	−	0.107748i
$750$	0.451756	−	0.989208i	0.0164958	−	0.0361208i
$751$	2.78356	+	1.78889i	0.101574	+	0.0652774i	0.590441	−	0.807080i	$-0.298954\pi$
$751$	2.78356	+	1.78889i	0.101574	+	0.0652774i	−0.488868	+	0.872358i	$0.662590\pi$
$752$	−10.6398	+	3.12412i	−0.387992	+	0.113925i
$753$	−1.55989	+	10.8493i	−0.0568455	+	0.395369i
$754$	9.82530	+	21.5144i	0.357816	+	0.783509i
$755$	−0.621188	−	4.32046i	−0.0226073	−	0.157238i
$756$	−0.841254	+	0.540641i	−0.0305961	+	0.0196629i
$757$	6.48548	−	7.48465i	0.235719	−	0.272034i	−0.625549	−	0.780185i	$-0.715125\pi$
$757$	6.48548	−	7.48465i	0.235719	−	0.272034i	0.861268	+	0.508150i	$0.169671\pi$
$758$	−4.60803			−0.167371
$759$	1.39301	−	2.08771i	0.0505629	−	0.0757791i
$760$	−7.95474			−0.288549
$761$	14.4873	−	16.7193i	0.525165	−	0.606073i	−0.429751	−	0.902947i	$-0.641399\pi$
$761$	14.4873	−	16.7193i	0.525165	−	0.606073i	0.954917	+	0.296874i	$0.0959442\pi$
$762$	14.2887	−	9.18280i	0.517625	−	0.332658i
$763$	0.424289	+	2.95100i	0.0153603	+	0.106833i
$764$	0.823038	+	1.80220i	0.0297765	+	0.0652014i
$765$	−0.789881	+	5.49375i	−0.0285582	+	0.198627i
$766$	33.5691	−	9.85679i	1.21290	−	0.356140i
$767$	−18.0891	−	11.6251i	−0.653159	−	0.419760i
$768$	−0.415415	+	0.909632i	−0.0149900	+	0.0328235i
$769$	29.1962	+	8.57278i	1.05284	+	0.309142i	0.761965	−	0.647618i	$-0.224235\pi$
$769$	29.1962	+	8.57278i	1.05284	+	0.309142i	0.290877	+	0.956761i	$0.406053\pi$
$770$	−1.10190	−	1.27167i	−0.0397099	−	0.0458276i
$771$	4.62794	+	5.34093i	0.166671	+	0.192349i
$772$	−1.02539	−	0.301083i	−0.0369048	−	0.0108362i
$773$	0.800646	−	1.75317i	0.0287972	−	0.0630571i	−0.894687	−	0.446694i	$-0.852601\pi$
$773$	0.800646	−	1.75317i	0.0287972	−	0.0630571i	0.923484	+	0.383637i	$0.125329\pi$
$774$	−3.90217	−	2.50777i	−0.140261	−	0.0901400i
$775$	−4.62022	+	1.35662i	−0.165963	+	0.0487312i
$776$	−0.0340103	+	0.236547i	−0.00122090	+	0.00849153i
$777$	4.75612	+	10.4144i	0.170625	+	0.373616i
$778$	−0.523657	−	3.64211i	−0.0187740	−	0.130576i
$779$	1.42772	−	0.917541i	0.0511534	−	0.0328743i
$780$	−4.97326	+	5.73945i	−0.178071	+	0.205505i
$781$	1.83125			0.0655273
$782$	−7.58845	+	3.30899i	−0.271362	+	0.118329i
$783$	−10.0137			−0.357860
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	40.1706	−	25.8161i	1.43375	−	0.921416i
$786$	1.82985	+	12.7269i	0.0652685	+	0.453952i
$787$	−3.19925	−	7.00537i	−0.114041	−	0.249715i	0.844002	−	0.536340i	$-0.180194\pi$
$787$	−3.19925	−	7.00537i	−0.114041	−	0.249715i	−0.958043	+	0.286626i	$0.907466\pi$
$788$	−2.14193	+	14.8975i	−0.0763032	+	0.530701i
$789$	−5.98008	+	1.75591i	−0.212896	+	0.0625120i
$790$	−19.2769	−	12.3885i	−0.685841	−	0.440764i
$791$	−3.80382	+	8.32920i	−0.135248	+	0.296152i
$792$	−0.502127	−	0.147438i	−0.0178423	−	0.00523898i
$793$	5.23404	+	6.04041i	0.185866	+	0.214501i
$794$	9.11266	+	10.5166i	0.323396	+	0.373219i
$795$	19.0907	+	5.60552i	0.677076	+	0.198807i
$796$	−4.02309	+	8.80934i	−0.142595	+	0.312239i
$797$	−28.1805	−	18.1105i	−0.998205	−	0.641507i	−0.0638902	−	0.997957i	$-0.520351\pi$
$797$	−28.1805	−	18.1105i	−0.998205	−	0.641507i	−0.934315	+	0.356450i	$0.883987\pi$
$798$	−2.37381	+	0.697012i	−0.0840318	+	0.0246740i
$799$	−2.72414	+	18.9468i	−0.0963731	+	0.670290i
$800$	−2.21758	−	4.85582i	−0.0784032	−	0.171679i
$801$	−1.98349	−	13.7955i	−0.0700832	−	0.487439i
$802$	−19.3395	+	12.4287i	−0.682901	+	0.438874i
$803$	1.51402	−	1.74728i	0.0534287	−	0.0616601i
$804$	3.45250			0.121760
$805$	14.1347	−	6.16353i	0.498183	−	0.217236i
$806$	2.13056			0.0750458
$807$	−7.82450	+	9.02995i	−0.275435	+	0.317869i
$808$	6.28537	−	4.03936i	0.221118	−	0.142104i
$809$	3.30956	+	23.0185i	0.116358	+	0.809288i	0.961512	+	0.274764i	$0.0885999\pi$
$809$	3.30956	+	23.0185i	0.116358	+	0.809288i	−0.845154	+	0.534524i	$0.820491\pi$
$810$	−1.33569	−	2.92475i	−0.0469313	−	0.102765i
$811$	−4.71423	+	32.7882i	−0.165539	+	1.15135i	0.722429	+	0.691445i	$0.243026\pi$
$811$	−4.71423	+	32.7882i	−0.165539	+	1.15135i	−0.887968	+	0.459905i	$0.847884\pi$
$812$	−9.60807	+	2.82118i	−0.337177	+	0.0990041i
$813$	−4.41900	−	2.83992i	−0.154981	−	0.0996003i
$814$	−2.48900	+	5.45015i	−0.0872393	+	0.191027i
$815$	−54.8563	−	16.1073i	−1.92153	−	0.564213i
$816$	1.13041	+	1.30457i	0.0395724	+	0.0456690i
$817$	−7.51504	−	8.67282i	−0.262918	−	0.303423i
$818$	−24.5713	−	7.21479i	−0.859115	−	0.252259i
$819$	−0.981187	+	2.14850i	−0.0342854	+	0.0750746i
$820$	1.85551	+	1.19246i	0.0647972	+	0.0416426i
$821$	24.9963	−	7.33957i	0.872376	−	0.256153i	0.185250	−	0.982691i	$-0.440690\pi$
$821$	24.9963	−	7.33957i	0.872376	−	0.256153i	0.687126	+	0.726539i	$0.258872\pi$
$822$	−1.95952	+	13.6288i	−0.0683462	+	0.475358i
$823$	−3.93025	−	8.60604i	−0.137000	−	0.299988i	0.828680	−	0.559722i	$-0.189092\pi$
$823$	−3.93025	−	8.60604i	−0.137000	−	0.299988i	−0.965680	+	0.259735i	$0.916365\pi$
$824$	−2.19476	−	15.2649i	−0.0764580	−	0.531777i
$825$	2.35015	−	1.51035i	0.0818217	−	0.0525836i
$826$	5.96169	−	6.88015i	0.207434	−	0.239391i
$827$	7.12877			0.247892			0.123946	−	0.992289i	$-0.460445\pi$
$827$	7.12877			0.247892			0.123946	+	0.992289i	$0.460445\pi$
$828$	2.66183	−	3.98932i	0.0925051	−	0.138638i
$829$	−24.8664			−0.863645			−0.431822	−	0.901959i	$-0.642129\pi$
$829$	−24.8664			−0.863645			−0.431822	+	0.901959i	$0.642129\pi$
$830$	5.28744	−	6.10204i	0.183530	−	0.211805i
$831$	−17.4730	+	11.2292i	−0.606130	+	0.389536i
$832$	0.336140	+	2.33790i	0.0116535	+	0.0810522i
$833$	0.717086	+	1.57020i	0.0248455	+	0.0544042i
$834$	2.03522	−	14.1553i	0.0704739	−	0.490157i
$835$	78.8164	−	23.1426i	2.72755	−	0.800882i
$836$	−1.08919	−	0.699977i	−0.0376703	−	0.0242092i
$837$	−0.374720	+	0.820522i	−0.0129522	+	0.0283614i
$838$	30.5926	+	8.98281i	1.05680	+	0.310306i
$839$	−11.3350	−	13.0813i	−0.391327	−	0.451616i	0.525563	−	0.850755i	$-0.323855\pi$
$839$	−11.3350	−	13.0813i	−0.391327	−	0.451616i	−0.916891	+	0.399139i	$0.869309\pi$
$840$	−2.10558	−	2.42997i	−0.0726494	−	0.0838419i
$841$	−68.3869	−	20.0802i	−2.35817	−	0.692421i
$842$	−1.13829	+	2.49250i	−0.0392280	+	0.0858972i
$843$	−14.1032	−	9.06360i	−0.485741	−	0.312167i
$844$	−14.3730	+	4.22028i	−0.494738	+	0.145268i
$845$	3.39585	−	23.6187i	0.116821	−	0.812507i
$846$	−4.60651	−	10.0869i	−0.158375	−	0.346793i
$847$	1.52649	+	10.6170i	0.0524507	+	0.364803i
$848$	5.20575	−	3.34553i	0.178766	−	0.114886i
$849$	−9.34647	+	10.7864i	−0.320770	+	0.370188i
$850$	−9.21479			−0.316065
$851$	−40.8720	−	36.6654i	−1.40107	−	1.25687i
$852$	3.49926			0.119883
$853$	32.0671	−	37.0074i	1.09796	−	1.26711i	0.136952	−	0.990578i	$-0.456269\pi$
$853$	32.0671	−	37.0074i	1.09796	−	1.26711i	0.961005	−	0.276532i	$-0.0891851\pi$
$854$	−2.84673	+	1.82948i	−0.0974130	+	0.0626035i
$855$	−1.13208	−	7.87378i	−0.0387163	−	0.269277i
$856$	−4.34807	−	9.52095i	−0.148614	−	0.325419i
$857$	−1.76140	+	12.2508i	−0.0601683	+	0.418480i	0.937369	+	0.348339i	$0.113254\pi$
$857$	−1.76140	+	12.2508i	−0.0601683	+	0.418480i	−0.997537	+	0.0701412i	$0.977655\pi$
$858$	−1.18600	+	0.348240i	−0.0404892	+	0.0118887i
$859$	−8.29653	−	5.33185i	−0.283074	−	0.181921i	0.391397	−	0.920222i	$-0.371992\pi$
$859$	−8.29653	−	5.33185i	−0.283074	−	0.181921i	−0.674471	+	0.738301i	$0.735628\pi$
$860$	6.19561	−	13.5665i	0.211269	−	0.462614i
$861$	0.658196	+	0.193264i	0.0224313	+	0.00658641i
$862$	12.1970	+	14.0760i	0.415430	+	0.479432i
$863$	−9.36703	−	10.8101i	−0.318857	−	0.367981i	0.573582	−	0.819148i	$-0.305553\pi$
$863$	−9.36703	−	10.8101i	−0.318857	−	0.367981i	−0.892440	+	0.451167i	$0.851008\pi$
$864$	−0.959493	−	0.281733i	−0.0326426	−	0.00958474i
$865$	−11.8308	+	25.9058i	−0.402259	+	0.880824i
$866$	−4.91198	−	3.15674i	−0.166916	−	0.107270i
$867$	−13.4523	+	3.94997i	−0.456866	+	0.134148i
$868$	−0.128373	+	0.892856i	−0.00435727	+	0.0303055i
$869$	−1.54932	−	3.39254i	−0.0525571	−	0.115084i
$870$	−4.58213	−	31.8694i	−0.155349	−	1.08047i
$871$	6.86010	−	4.40872i	0.232446	−	0.149384i
$872$	−1.95236	+	2.25315i	−0.0661154	+	0.0763012i
$873$	−0.238979			−0.00808822
$874$	9.09928	−	7.61453i	0.307788	−	0.257565i
$875$	1.08748			0.0367636
$876$	2.89308	−	3.33880i	0.0977482	−	0.112807i
$877$	4.48753	−	2.88396i	0.151533	−	0.0973844i	−0.462677	−	0.886527i	$-0.653111\pi$
$877$	4.48753	−	2.88396i	0.151533	−	0.0973844i	0.614210	+	0.789142i	$0.289475\pi$
$878$	−1.28393	−	8.92994i	−0.0433306	−	0.301371i
$879$	−3.26175	−	7.14224i	−0.110016	−	0.240902i
$880$	0.239467	−	1.66553i	0.00807242	−	0.0561449i
$881$	44.4492	−	13.0515i	1.49753	−	0.439715i	0.572595	−	0.819838i	$-0.305937\pi$
$881$	44.4492	−	13.0515i	1.49753	−	0.439715i	0.924936	+	0.380123i	$0.124118\pi$
$882$	−0.841254	−	0.540641i	−0.0283265	−	0.0182043i
$883$	6.12818	−	13.4188i	0.206230	−	0.451580i	−0.778049	−	0.628204i	$-0.783790\pi$
$883$	6.12818	−	13.4188i	0.206230	−	0.451580i	0.984278	+	0.176624i	$0.0565176\pi$
$884$	3.91201	+	1.14867i	0.131575	+	0.0386340i
$885$	19.1687	+	22.1218i	0.644348	+	0.743617i
$886$	−12.5714	−	14.5082i	−0.422345	−	0.487412i
$887$	7.43251	+	2.18238i	0.249559	+	0.0732772i	0.404120	−	0.914706i	$-0.367578\pi$
$887$	7.43251	+	2.18238i	0.249559	+	0.0732772i	−0.154560	+	0.987983i	$0.549396\pi$
$888$	−4.75612	+	10.4144i	−0.159605	+	0.349486i
$889$	14.2887	+	9.18280i	0.479228	+	0.307981i
$890$	42.9976	−	12.6252i	1.44128	−	0.423199i
$891$	0.0744770	−	0.517999i	0.00249507	−	0.0173536i
$892$	5.25648	+	11.5101i	0.176000	+	0.385387i
$893$	−3.90430	−	27.1550i	−0.130653	−	0.908709i
$894$	−12.3768	+	7.95412i	−0.413944	+	0.266026i
$895$	37.6827	−	43.4882i	1.25960	−	1.45365i
$896$	−1.00000			−0.0334077
$897$	0.194835	−	11.3258i	0.00650536	−	0.378158i
$898$	−36.5187			−1.21865
$899$	−5.91518	+	6.82648i	−0.197282	+	0.227676i
$900$	4.49080	−	2.88606i	0.149693	−	0.0962020i
$901$	−1.52018	−	10.5731i	−0.0506445	−	0.352241i
$902$	0.149131	+	0.326551i	0.00496551	+	0.0108730i
$903$	0.660130	−	4.59130i	0.0219677	−	0.152789i
$904$	−8.78577	+	2.57973i	−0.292210	+	0.0858007i
$905$	8.17205	+	5.25186i	0.271648	+	0.174578i
$906$	0.563939	−	1.23485i	0.0187356	−	0.0410253i
$907$	32.9982	+	9.68914i	1.09569	+	0.321723i	0.779137	−	0.626853i	$-0.215657\pi$
$907$	32.9982	+	9.68914i	1.09569	+	0.321723i	0.316550	+	0.948576i	$0.397476\pi$
$908$	−15.2452	−	17.5939i	−0.505930	−	0.583874i
$909$	4.89275	+	5.64653i	0.162282	+	0.187284i
$910$	−7.28675	−	2.13958i	−0.241554	−	0.0709265i
$911$	3.89063	−	8.51928i	0.128902	−	0.282256i	−0.834166	−	0.551513i	$-0.814051\pi$
$911$	3.89063	−	8.51928i	0.128902	−	0.282256i	0.963068	+	0.269257i	$0.0867780\pi$
$912$	−2.08128	−	1.33756i	−0.0689180	−	0.0442909i
$913$	1.26092	−	0.370240i	0.0417304	−	0.0122531i
$914$	2.33853	−	16.2648i	0.0773516	−	0.537992i
$915$	−4.51985	−	9.89709i	−0.149422	−	0.327188i
$916$	2.85724	+	19.8725i	0.0944057	+	0.656606i
$917$	−10.8166	+	6.95142i	−0.357196	+	0.229556i
$918$	−1.13041	+	1.30457i	−0.0373092	+	0.0430572i
$919$	−29.1493			−0.961546			−0.480773	−	0.876845i	$-0.659644\pi$
$919$	−29.1493			−0.961546			−0.480773	+	0.876845i	$0.659644\pi$
$920$	13.9143	+	6.64605i	0.458742	+	0.219114i
$921$	−26.1099			−0.860352
$922$	−0.985587	+	1.13743i	−0.0324586	+	0.0374592i
$923$	6.95300	−	4.46842i	0.228861	−	0.147080i
$924$	−0.0744770	−	0.517999i	−0.00245011	−	0.0170409i
$925$	−25.3892	−	55.5946i	−0.834792	−	1.82794i
$926$	2.34756	−	16.3276i	0.0771455	−	0.536559i
$927$	14.7971	−	4.34483i	0.486002	−	0.142703i
$928$	−8.42405	−	5.41381i	−0.276533	−	0.177717i
$929$	−18.4869	+	40.4807i	−0.606536	+	1.32813i	0.318381	+	0.947963i	$0.396861\pi$
$929$	−18.4869	+	40.4807i	−0.606536	+	1.32813i	−0.924918	+	0.380167i	$0.875867\pi$
$930$	−2.78285	−	0.817118i	−0.0912531	−	0.0267943i
$931$	−1.62014	−	1.86974i	−0.0530979	−	0.0612782i
$932$	3.46722	+	4.00139i	0.113573	+	0.131070i
$933$	22.6374	+	6.64694i	0.741116	+	0.217611i
$934$	5.87913	−	12.8735i	0.192371	−	0.421234i
$935$	−2.44349	−	1.57034i	−0.0799107	−	0.0513555i
$936$	−2.26627	+	0.665436i	−0.0740753	+	0.0217505i
$937$	1.67976	−	11.6830i	0.0548752	−	0.381666i	−0.943814	−	0.330478i	$-0.892790\pi$
$937$	1.67976	−	11.6830i	0.0548752	−	0.381666i	0.998689	−	0.0511880i	$-0.0163008\pi$
$938$	1.43422	+	3.14051i	0.0468290	+	0.102541i
$939$	3.43247	+	23.8733i	0.112014	+	0.779077i
$940$	29.9944	−	19.2762i	0.978309	−	0.628721i
$941$	2.59223	−	2.99159i	0.0845041	−	0.0975230i	−0.711923	−	0.702258i	$-0.752175\pi$
$941$	2.59223	−	2.99159i	0.0845041	−	0.0975230i	0.796427	+	0.604735i	$0.206721\pi$
$942$	14.8511			0.483875
$943$	−3.26394	+	0.412116i	−0.106289	+	0.0134203i
$944$	9.10375			0.296302
$945$	2.10558	−	2.42997i	0.0684945	−	0.0790469i
$946$	2.04210	−	1.31238i	0.0663945	−	0.0426692i
$947$	−5.02244	−	34.9318i	−0.163207	−	1.13513i	−0.892539	−	0.450971i	$-0.851078\pi$
$947$	−5.02244	−	34.9318i	−0.163207	−	1.13513i	0.729332	−	0.684160i	$-0.239831\pi$
$948$	−2.96053	−	6.48266i	−0.0961536	−	0.210547i
$949$	1.48502	−	10.3285i	0.0482057	−	0.335278i
$950$	12.6719	−	3.72080i	0.411131	−	0.120719i
$951$	−13.4771	−	8.66124i	−0.437026	−	0.280860i
$952$	−0.717086	+	1.57020i	−0.0232409	+	0.0508904i
$953$	−12.9919	−	3.81477i	−0.420849	−	0.123573i	0.0644493	−	0.997921i	$-0.479471\pi$
$953$	−12.9919	−	3.81477i	−0.420849	−	0.123573i	−0.485299	+	0.874348i	$0.661289\pi$
$954$	4.05233	+	4.67664i	0.131199	+	0.151412i
$955$	−4.17167	−	4.81436i	−0.134992	−	0.155789i
$956$	16.0432	+	4.71071i	0.518874	+	0.152355i
$957$	2.17695	−	4.76686i	0.0703708	−	0.154091i
$958$	−5.98209	−	3.84446i	−0.193273	−	0.124209i
$959$	−13.2112	+	3.87915i	−0.426611	+	0.125264i
$960$	0.457586	−	3.18258i	0.0147685	−	0.102717i
$961$	−12.5399	−	27.4584i	−0.404511	−	0.885756i
$962$	3.84849	+	26.7668i	0.124080	+	0.862997i
$963$	8.80525	−	5.65879i	0.283745	−	0.182352i
$964$	13.2196	−	15.2562i	0.425775	−	0.491371i
$965$	3.43615			0.110614
$966$	4.73458	+	0.764067i	0.152332	+	0.0245834i
$967$	1.08160			0.0347820			0.0173910	−	0.999849i	$-0.494464\pi$
$967$	1.08160			0.0347820			0.0173910	+	0.999849i	$0.494464\pi$
$968$	−7.02412	+	8.10627i	−0.225764	+	0.260545i
$969$	−3.59268	+	2.30888i	−0.115414	+	0.0741718i
$970$	−0.109354	−	0.760571i	−0.00351113	−	0.0244205i
$971$	18.5026	+	40.5151i	0.593777	+	1.30019i	0.933133	+	0.359532i	$0.117064\pi$
$971$	18.5026	+	40.5151i	0.593777	+	1.30019i	−0.339356	+	0.940658i	$0.610209\pi$
$972$	0.142315	−	0.989821i	0.00456475	−	0.0317485i
$973$	13.7215	−	4.02901i	0.439893	−	0.129164i
$974$	8.70060	+	5.59154i	0.278785	+	0.179164i
$975$	5.23779	−	11.4692i	0.167744	−	0.367307i
$976$	−3.24684	−	0.953358i	−0.103929	−	0.0305162i
$977$	21.6894	+	25.0309i	0.693904	+	0.800808i	0.987915	−	0.154994i	$-0.0495358\pi$
$977$	21.6894	+	25.0309i	0.693904	+	0.800808i	−0.294011	+	0.955802i	$0.594990\pi$
$978$	−11.6442	−	13.4382i	−0.372342	−	0.429705i
$979$	6.99832	+	2.05489i	0.223667	+	0.0656746i
$980$	1.33569	−	2.92475i	0.0426670	−	0.0934277i
$981$	−2.50806	−	1.61183i	−0.0800763	−	0.0514619i
$982$	19.5338	−	5.73563i	0.623348	−	0.183031i
$983$	5.23399	−	36.4032i	0.166938	−	1.16108i	−0.718228	−	0.695808i	$-0.755047\pi$
$983$	5.23399	−	36.4032i	0.166938	−	1.16108i	0.885166	−	0.465275i	$-0.154044\pi$
$984$	0.284968	+	0.623992i	0.00908444	+	0.0198921i
$985$	−6.88698	−	47.9000i	−0.219437	−	1.52622i
$986$	−14.5415	+	9.34527i	−0.463097	+	0.297614i
$987$	7.26171	−	8.38046i	0.231143	−	0.266753i
$988$	−5.84350			−0.185906
$989$	5.89924	+	21.4491i	0.187585	+	0.682041i
$990$	1.68265			0.0534783
$991$	13.9492	−	16.0982i	0.443109	−	0.511376i	−0.489628	−	0.871931i	$-0.662868\pi$
$991$	13.9492	−	16.0982i	0.443109	−	0.511376i	0.932738	+	0.360556i	$0.117413\pi$
$992$	−0.758842	+	0.487678i	−0.0240933	+	0.0154838i
$993$	1.56282	+	10.8696i	0.0495946	+	0.344938i
$994$	1.45364	+	3.18304i	0.0461068	+	0.100960i
$995$	4.43150	−	30.8218i	0.140488	−	0.977115i
$996$	2.40944	−	0.707475i	0.0763460	−	0.0224172i
$997$	40.7506	+	26.1888i	1.29059	+	0.829409i	0.992154	−	0.125022i	$-0.0399001\pi$
$997$	40.7506	+	26.1888i	1.29059	+	0.829409i	0.298432	+	0.954431i	$0.403536\pi$
$998$	5.47606	−	11.9909i	0.173342	−	0.379565i
$999$	−10.9853	−	3.22558i	−0.347560	−	0.102053i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.h.85.3	✓	30
23.13	even	11	inner	966.2.q.h.841.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.h.85.3	✓	30	1.1	even	1	trivial
966.2.q.h.841.3	yes	30	23.13	even	11	inner

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(1.33569 + 2.92475i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.654861 - 0.755750i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(1.33569 + 2.92475i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.959493 + 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +(3.08507 + 0.905858i) q^{10} +(0.342705 + 0.395503i) q^{11} +(0.654861 + 0.755750i) q^{12} +(2.26627 + 0.665436i) q^{13} +(-0.415415 + 0.909632i) q^{14} +(-2.70489 - 1.73833i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(-0.245663 + 1.70862i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(-0.352090 - 2.44884i) q^{19} +(2.70489 - 1.73833i) q^{20} +(0.654861 - 0.755750i) q^{21} +0.523326 q^{22} +(-1.43009 + 4.57765i) q^{23} +1.00000 q^{24} +(-3.49579 + 4.03436i) q^{25} +(1.98699 - 1.27696i) q^{26} +(0.142315 + 0.989821i) q^{27} +(0.415415 + 0.909632i) q^{28} +(-1.42510 + 9.91177i) q^{29} +(-3.08507 + 0.905858i) q^{30} +(0.758842 + 0.487678i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(-0.502127 - 0.147438i) q^{33} +(1.13041 + 1.30457i) q^{34} +(-2.10558 - 2.42997i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-4.75612 + 10.4144i) q^{37} +(-2.08128 - 1.33756i) q^{38} +(-2.26627 + 0.665436i) q^{39} +(0.457586 - 3.18258i) q^{40} +(0.284968 + 0.623992i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(3.90217 - 2.50777i) q^{43} +(0.342705 - 0.395503i) q^{44} +3.21531 q^{45} +(2.52304 + 4.07851i) q^{46} +11.0889 q^{47} +(0.654861 - 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(0.759708 + 5.28388i) q^{50} +(-0.717086 - 1.57020i) q^{51} +(0.336140 - 2.33790i) q^{52} +(-5.93742 + 1.74338i) q^{53} +(0.841254 + 0.540641i) q^{54} +(-0.699000 + 1.53060i) q^{55} +(0.959493 + 0.281733i) q^{56} +(1.62014 + 1.86974i) q^{57} +(6.55757 + 7.56784i) q^{58} +(-8.73498 - 2.56482i) q^{59} +(-1.33569 + 2.92475i) q^{60} +(2.84673 + 1.82948i) q^{61} +(0.865499 - 0.254133i) q^{62} +(-0.142315 + 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(1.08079 + 7.51708i) q^{65} +(-0.440249 + 0.282931i) q^{66} +(2.26091 - 2.60923i) q^{67} +1.72619 q^{68} +(-1.27179 - 4.62413i) q^{69} -3.21531 q^{70} +(2.29153 - 2.64456i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-0.628727 - 4.37289i) q^{73} +(4.75612 + 10.4144i) q^{74} +(0.759708 - 5.28388i) q^{75} +(-2.37381 + 0.697012i) q^{76} +(-0.440249 - 0.282931i) q^{77} +(-0.981187 + 2.14850i) q^{78} +(-6.83800 - 2.00782i) q^{79} +(-2.10558 - 2.42997i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(0.658196 + 0.193264i) q^{82} +(1.04317 - 2.28423i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(-5.32542 + 1.56368i) q^{85} +(0.660130 - 4.59130i) q^{86} +(-4.15984 - 9.10878i) q^{87} +(-0.0744770 - 0.517999i) q^{88} +(11.7248 - 7.53509i) q^{89} +(2.10558 - 2.42997i) q^{90} -2.36194 q^{91} +(4.73458 + 0.764067i) q^{92} -0.902038 q^{93} +(7.26171 - 8.38046i) q^{94} +(6.69196 - 4.30066i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-0.0992756 - 0.217383i) q^{97} +(0.142315 - 0.989821i) q^{98} +(0.502127 - 0.147438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Introduction

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