LMFDB - Embedded newform 966.2.q.j.211.4

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:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.4
Character	$\chi$	$=$	966.211
Dual form			966.2.q.j.673.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.08798 + 1.98452i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.08798 + 1.98452i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.522394 + 3.63333i) q^{10} +(2.02019 - 4.42360i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(0.731434 - 5.08723i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(3.52200 + 1.03415i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.78425 + 4.36726i) q^{17} +(0.841254 + 0.540641i) q^{18} +(1.81271 - 2.09198i) q^{19} +(-3.52200 + 1.03415i) q^{20} +(0.415415 + 0.909632i) q^{21} +4.86306 q^{22} +(-0.945013 + 4.70180i) q^{23} -1.00000 q^{24} +(3.52021 + 7.70819i) q^{25} +(4.93136 - 1.44798i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(0.00679483 + 0.00784165i) q^{29} +(0.522394 + 3.63333i) q^{30} +(-8.51646 - 2.50066i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.692086 - 4.81356i) q^{33} +(-2.40057 + 5.25651i) q^{34} +(-1.52486 + 3.33898i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-2.25344 + 1.44820i) q^{37} +(2.65596 + 0.779860i) q^{38} +(-0.731434 - 5.08723i) q^{39} +(-2.40379 - 2.77412i) q^{40} +(-4.92475 - 3.16495i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-8.75015 + 2.56927i) q^{43} +(2.02019 + 4.42360i) q^{44} +3.67069 q^{45} +(-4.66948 + 1.09359i) q^{46} -4.43285 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-5.54927 + 6.40419i) q^{50} +(4.86137 + 3.12421i) q^{51} +(3.36569 + 3.88421i) q^{52} +(0.591703 + 4.11539i) q^{53} +(0.959493 + 0.281733i) q^{54} +(15.0170 - 9.65087i) q^{55} +(0.142315 - 0.989821i) q^{56} +(1.14990 - 2.51794i) q^{57} +(-0.00431034 + 0.00943833i) q^{58} +(-0.390741 + 2.71767i) q^{59} +(-3.08798 + 1.98452i) q^{60} +(-5.16186 - 1.51566i) q^{61} +(-1.26319 - 8.78566i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(12.3544 - 14.2577i) q^{65} +(4.66607 - 1.37008i) q^{66} +(5.27705 + 11.5551i) q^{67} -5.77872 q^{68} +(0.417918 + 4.77759i) q^{69} -3.67069 q^{70} +(-6.22023 - 13.6204i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-6.26929 + 7.23515i) q^{73} +(-2.25344 - 1.44820i) q^{74} +(5.54927 + 6.40419i) q^{75} +(0.393939 + 2.73991i) q^{76} +(4.66607 + 1.37008i) q^{77} +(4.32366 - 2.77865i) q^{78} +(-0.507989 + 3.53314i) q^{79} +(1.52486 - 3.33898i) q^{80} +(0.415415 - 0.909632i) q^{81} +(0.833120 - 5.79448i) q^{82} +(1.65363 - 1.06273i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(3.01876 + 20.9960i) q^{85} +(-5.97204 - 6.89210i) q^{86} +(0.00872884 + 0.00560968i) q^{87} +(-3.18463 + 3.67526i) q^{88} +(6.50915 - 1.91126i) q^{89} +(1.52486 + 3.33898i) q^{90} +5.13954 q^{91} +(-2.93453 - 3.79322i) q^{92} -8.87600 q^{93} +(-1.84147 - 4.03226i) q^{94} +(9.74920 - 2.86262i) q^{95} +(0.654861 - 0.755750i) q^{96} +(13.8420 + 8.89572i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.692086 - 4.81356i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 + 4 * q^3 - 4 * q^4 - 4 * q^5 + 4 * q^6 + 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 + 4 * q^3 - 4 * q^4 - 4 * q^5 + 4 * q^6 + 4 * q^7 - 4 * q^8 - 4 * q^9 - 4 * q^10 - 11 * q^11 + 4 * q^12 - 20 * q^13 + 4 * q^14 - 7 * q^15 - 4 * q^16 + 5 * q^17 - 4 * q^18 + 44 * q^19 + 7 * q^20 - 4 * q^21 + 22 * q^22 - 6 * q^23 - 40 * q^24 + 2 * q^25 + 24 * q^26 + 4 * q^27 + 4 * q^28 + 35 * q^29 + 4 * q^30 - 2 * q^31 - 4 * q^32 - 11 * q^33 + 5 * q^34 - 7 * q^35 - 4 * q^36 + 20 * q^37 - 11 * q^38 + 20 * q^39 - 4 * q^40 + 11 * q^41 - 4 * q^42 - 42 * q^43 - 11 * q^44 - 4 * q^45 - 6 * q^46 + 40 * q^47 + 4 * q^48 - 4 * q^49 - 53 * q^50 + 17 * q^51 - 9 * q^52 - 32 * q^53 + 4 * q^54 + 29 * q^55 + 4 * q^56 - 11 * q^57 - 31 * q^58 - 25 * q^59 + 4 * q^60 - 30 * q^61 - 24 * q^62 + 4 * q^63 - 4 * q^64 + 80 * q^65 - 88 * q^67 - 28 * q^68 + 6 * q^69 + 4 * q^70 - 45 * q^71 - 4 * q^72 - 39 * q^73 + 20 * q^74 + 53 * q^75 - 22 * q^76 - 2 * q^78 + 26 * q^79 + 7 * q^80 - 4 * q^81 + 22 * q^83 - 4 * q^84 + 77 * q^85 - 31 * q^86 + 9 * q^87 - 11 * q^88 + 20 * q^89 + 7 * q^90 - 24 * q^91 - 17 * q^92 - 42 * q^93 - 26 * q^94 + 84 * q^95 + 4 * q^96 + 74 * q^97 - 4 * q^98 + 11 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	3.08798	+	1.98452i	1.38099	+	0.887506i	0.999323	−	0.0367947i	$-0.0117147\pi$
$5$	3.08798	+	1.98452i	1.38099	+	0.887506i	0.381664	+	0.924301i	$0.375351\pi$
$6$	0.654861	+	0.755750i	0.267346	+	0.308533i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.522394	+	3.63333i	−0.165195	+	1.14896i
$11$	2.02019	−	4.42360i	0.609110	−	1.33376i	−0.314071	−	0.949399i	$-0.601693\pi$
$11$	2.02019	−	4.42360i	0.609110	−	1.33376i	0.923181	−	0.384365i	$-0.125580\pi$
$12$	−0.415415	+	0.909632i	−0.119920	+	0.262588i
$13$	0.731434	−	5.08723i	0.202863	−	1.41094i	−0.592871	−	0.805298i	$-0.702005\pi$
$13$	0.731434	−	5.08723i	0.202863	−	1.41094i	0.795734	−	0.605647i	$-0.207085\pi$
$14$	−0.841254	+	0.540641i	−0.224834	+	0.144492i
$15$	3.52200	+	1.03415i	0.909377	+	0.267017i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	3.78425	+	4.36726i	0.917816	+	1.05922i	0.998049	+	0.0624405i	$0.0198884\pi$
$17$	3.78425	+	4.36726i	0.917816	+	1.05922i	−0.0802322	+	0.996776i	$0.525566\pi$
$18$	0.841254	+	0.540641i	0.198285	+	0.127430i
$19$	1.81271	−	2.09198i	0.415864	−	0.479933i	−0.508708	−	0.860939i	$-0.669877\pi$
$19$	1.81271	−	2.09198i	0.415864	−	0.479933i	0.924573	+	0.381006i	$0.124422\pi$
$20$	−3.52200	+	1.03415i	−0.787543	+	0.231244i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	4.86306			1.03681
$23$	−0.945013	+	4.70180i	−0.197049	+	0.980394i
$23$	−0.945013	+	4.70180i	−0.197049	+	0.980394i
$24$	−1.00000			−0.204124
$25$	3.52021	+	7.70819i	0.704042	+	1.54164i
$26$	4.93136	−	1.44798i	0.967119	−	0.283972i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	−0.841254	−	0.540641i	−0.158982	−	0.102172i
$29$	0.00679483	+	0.00784165i	0.00126177	+	0.00145616i	0.756380	−	0.654132i	$-0.226966\pi$
$29$	0.00679483	+	0.00784165i	0.00126177	+	0.00145616i	−0.755118	+	0.655589i	$0.772421\pi$
$30$	0.522394	+	3.63333i	0.0953756	+	0.663352i
$31$	−8.51646	−	2.50066i	−1.52960	−	0.449132i	−0.594673	−	0.803968i	$-0.702718\pi$
$31$	−8.51646	−	2.50066i	−1.52960	−	0.449132i	−0.934929	+	0.354836i	$0.884537\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	0.692086	−	4.81356i	0.120477	−	0.837934i
$34$	−2.40057	+	5.25651i	−0.411694	+	0.901483i
$35$	−1.52486	+	3.33898i	−0.257748	+	0.564390i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	−2.25344	+	1.44820i	−0.370463	+	0.238082i	−0.712604	−	0.701567i	$-0.752484\pi$
$37$	−2.25344	+	1.44820i	−0.370463	+	0.238082i	0.342141	+	0.939649i	$0.388848\pi$
$38$	2.65596	+	0.779860i	0.430853	+	0.126510i
$39$	−0.731434	−	5.08723i	−0.117123	−	0.814609i
$40$	−2.40379	−	2.77412i	−0.380073	−	0.438627i
$41$	−4.92475	−	3.16495i	−0.769117	−	0.494282i	0.0962885	−	0.995353i	$-0.469303\pi$
$41$	−4.92475	−	3.16495i	−0.769117	−	0.494282i	−0.865406	+	0.501072i	$0.832939\pi$
$42$	−0.654861	+	0.755750i	−0.101047	+	0.116615i
$43$	−8.75015	+	2.56927i	−1.33438	+	0.391811i	−0.869663	−	0.493646i	$-0.835664\pi$
$43$	−8.75015	+	2.56927i	−1.33438	+	0.391811i	−0.464722	+	0.885457i	$0.653846\pi$
$44$	2.02019	+	4.42360i	0.304555	+	0.666882i
$45$	3.67069			0.547194
$46$	−4.66948	+	1.09359i	−0.688478	+	0.161240i
$47$	−4.43285			−0.646597			−0.323299	−	0.946297i	$-0.604792\pi$
$47$	−4.43285			−0.646597			−0.323299	+	0.946297i	$0.604792\pi$
$48$	−0.415415	−	0.909632i	−0.0599600	−	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	−5.54927	+	6.40419i	−0.784785	+	0.905690i
$51$	4.86137	+	3.12421i	0.680727	+	0.437477i
$52$	3.36569	+	3.88421i	0.466737	+	0.538643i
$53$	0.591703	+	4.11539i	0.0812767	+	0.565292i	0.989247	+	0.146257i	$0.0467226\pi$
$53$	0.591703	+	4.11539i	0.0812767	+	0.565292i	−0.907970	+	0.419035i	$0.862368\pi$
$54$	0.959493	+	0.281733i	0.130570	+	0.0383389i
$55$	15.0170	−	9.65087i	2.02490	−	1.30132i
$56$	0.142315	−	0.989821i	0.0190176	−	0.132270i
$57$	1.14990	−	2.51794i	0.152308	−	0.333509i
$58$	−0.00431034	+	0.00943833i	−0.000565975	+	0.00123931i
$59$	−0.390741	+	2.71767i	−0.0508702	+	0.353810i	0.948449	+	0.316928i	$0.102652\pi$
$59$	−0.390741	+	2.71767i	−0.0508702	+	0.353810i	−0.999320	+	0.0368816i	$0.988258\pi$
$60$	−3.08798	+	1.98452i	−0.398657	+	0.256201i
$61$	−5.16186	−	1.51566i	−0.660908	−	0.194060i	−0.0659576	−	0.997822i	$-0.521010\pi$
$61$	−5.16186	−	1.51566i	−0.660908	−	0.194060i	−0.594951	+	0.803762i	$0.702828\pi$
$62$	−1.26319	−	8.78566i	−0.160425	−	1.11578i
$63$	0.654861	+	0.755750i	0.0825047	+	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	12.3544	−	14.2577i	1.53237	−	1.76845i
$66$	4.66607	−	1.37008i	0.574354	−	0.168646i
$67$	5.27705	+	11.5551i	0.644694	+	1.41168i	0.896123	+	0.443807i	$0.146372\pi$
$67$	5.27705	+	11.5551i	0.644694	+	1.41168i	−0.251429	+	0.967876i	$0.580900\pi$
$68$	−5.77872			−0.700772
$69$	0.417918	+	4.77759i	0.0503114	+	0.575154i
$70$	−3.67069			−0.438731
$71$	−6.22023	−	13.6204i	−0.738205	−	1.61644i	−0.786484	−	0.617610i	$-0.788101\pi$
$71$	−6.22023	−	13.6204i	−0.738205	−	1.61644i	0.0482789	−	0.998834i	$-0.484626\pi$
$72$	−0.959493	+	0.281733i	−0.113077	+	0.0332025i
$73$	−6.26929	+	7.23515i	−0.733765	+	0.846810i	−0.992890	−	0.119034i	$-0.962020\pi$
$73$	−6.26929	+	7.23515i	−0.733765	+	0.846810i	0.259125	+	0.965844i	$0.416566\pi$
$74$	−2.25344	−	1.44820i	−0.261957	−	0.168349i
$75$	5.54927	+	6.40419i	0.640774	+	0.739493i
$76$	0.393939	+	2.73991i	0.0451880	+	0.314289i
$77$	4.66607	+	1.37008i	0.531748	+	0.156135i
$78$	4.32366	−	2.77865i	0.489558	−	0.314620i
$79$	−0.507989	+	3.53314i	−0.0571532	+	0.397510i	0.941085	+	0.338171i	$0.109808\pi$
$79$	−0.507989	+	3.53314i	−0.0571532	+	0.397510i	−0.998238	+	0.0593385i	$0.981101\pi$
$80$	1.52486	−	3.33898i	0.170484	−	0.373309i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	0.833120	−	5.79448i	0.0920027	−	0.639893i
$83$	1.65363	−	1.06273i	0.181510	−	0.116649i	−0.446731	−	0.894668i	$-0.647412\pi$
$83$	1.65363	−	1.06273i	0.181510	−	0.116649i	0.628240	+	0.778019i	$0.283775\pi$
$84$	−0.959493	−	0.281733i	−0.104689	−	0.0307395i
$85$	3.01876	+	20.9960i	0.327431	+	2.27733i
$86$	−5.97204	−	6.89210i	−0.643981	−	0.743194i
$87$	0.00872884	+	0.00560968i	0.000935829	+	0.000601421i
$88$	−3.18463	+	3.67526i	−0.339483	+	0.391784i
$89$	6.50915	−	1.91126i	0.689969	−	0.202593i	0.0820922	−	0.996625i	$-0.473840\pi$
$89$	6.50915	−	1.91126i	0.689969	−	0.202593i	0.607876	+	0.794032i	$0.292022\pi$
$90$	1.52486	+	3.33898i	0.160734	+	0.351959i
$91$	5.13954			0.538771
$92$	−2.93453	−	3.79322i	−0.305946	−	0.395470i
$93$	−8.87600			−0.920398
$94$	−1.84147	−	4.03226i	−0.189933	−	0.415896i
$95$	9.74920	−	2.86262i	1.00025	−	0.293699i
$96$	0.654861	−	0.755750i	0.0668364	−	0.0771334i
$97$	13.8420	+	8.89572i	1.40544	+	0.903223i	0.999941	−	0.0108706i	$-0.00346029\pi$
$97$	13.8420	+	8.89572i	1.40544	+	0.903223i	0.405502	+	0.914094i	$0.367097\pi$
$98$	−0.654861	−	0.755750i	−0.0661509	−	0.0763422i
$99$	−0.692086	−	4.81356i	−0.0695573	−	0.483781i
$100$	−8.13071	−	2.38739i	−0.813071	−	0.238739i
$101$	0.607873	−	0.390656i	0.0604856	−	0.0388717i	−0.510049	−	0.860146i	$-0.670373\pi$
$101$	0.607873	−	0.390656i	0.0604856	−	0.0388717i	0.570534	+	0.821274i	$0.306736\pi$
$102$	−0.822397	+	5.71990i	−0.0814294	+	0.566354i
$103$	5.16504	−	11.3099i	0.508927	−	1.11439i	−0.464537	−	0.885554i	$-0.653779\pi$
$103$	5.16504	−	11.3099i	0.508927	−	1.11439i	0.973464	−	0.228841i	$-0.0734935\pi$
$104$	−2.13504	+	4.67509i	−0.209358	+	0.458431i
$105$	−0.522394	+	3.63333i	−0.0509804	+	0.354576i
$106$	−3.49769	+	2.24783i	−0.339725	+	0.218328i
$107$	−18.1059	−	5.31637i	−1.75036	−	0.513953i	−0.759699	−	0.650274i	$-0.774654\pi$
$107$	−18.1059	−	5.31637i	−1.75036	−	0.513953i	−0.990665	+	0.136321i	$0.956472\pi$
$108$	0.142315	+	0.989821i	0.0136943	+	0.0952456i
$109$	3.49708	+	4.03584i	0.334959	+	0.386563i	0.898095	−	0.439801i	$-0.144951\pi$
$109$	3.49708	+	4.03584i	0.334959	+	0.386563i	−0.563136	+	0.826364i	$0.690405\pi$
$110$	15.0170	+	9.65087i	1.43182	+	0.920174i
$111$	−1.75415	+	2.02440i	−0.166497	+	0.192148i
$112$	0.959493	−	0.281733i	0.0906636	−	0.0266212i
$113$	−1.91510	−	4.19349i	−0.180158	−	0.394490i	0.797910	−	0.602776i	$-0.205939\pi$
$113$	−1.91510	−	4.19349i	−0.180158	−	0.394490i	−0.978068	+	0.208286i	$0.933212\pi$
$114$	2.76808			0.259255
$115$	−12.2490	+	12.6437i	−1.14223	+	1.17903i
$116$	−0.0103760			−0.000963386
$117$	−2.13504	−	4.67509i	−0.197385	−	0.432213i
$118$	−2.63440	+	0.773529i	−0.242516	+	0.0712091i
$119$	−3.78425	+	4.36726i	−0.346902	+	0.400346i
$120$	−3.08798	−	1.98452i	−0.281893	−	0.181161i
$121$	−8.28358	−	9.55976i	−0.753053	−	0.869069i
$122$	−0.765622	−	5.32502i	−0.0693162	−	0.482105i
$123$	−5.61693	−	1.64928i	−0.506462	−	0.148711i
$124$	7.46697	−	4.79873i	0.670553	−	0.430939i
$125$	−1.81478	+	12.6220i	−0.162319	+	1.12895i
$126$	−0.415415	+	0.909632i	−0.0370081	+	0.0810365i
$127$	8.93198	−	19.5583i	0.792585	−	1.73552i	0.123484	−	0.992347i	$-0.460593\pi$
$127$	8.93198	−	19.5583i	0.792585	−	1.73552i	0.669100	−	0.743172i	$-0.266680\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−7.67185	+	4.93040i	−0.675469	+	0.434098i
$130$	18.1015	+	5.31507i	1.58761	+	0.466163i
$131$	1.12083	+	7.79555i	0.0979275	+	0.681101i	0.978357	+	0.206924i	$0.0663452\pi$
$131$	1.12083	+	7.79555i	0.0979275	+	0.681101i	−0.880430	+	0.474177i	$0.842746\pi$
$132$	3.18463	+	3.67526i	0.277186	+	0.319890i
$133$	2.32866	+	1.49654i	0.201921	+	0.129766i
$134$	−8.31874	+	9.60034i	−0.718630	+	0.829343i
$135$	3.52200	−	1.03415i	0.303126	−	0.0890057i
$136$	−2.40057	−	5.25651i	−0.205847	−	0.450742i
$137$	7.76342			0.663274			0.331637	−	0.943407i	$-0.392399\pi$
$137$	7.76342			0.663274			0.331637	+	0.943407i	$0.392399\pi$
$138$	−4.17224	+	2.36483i	−0.355164	+	0.201308i
$139$	−7.26976			−0.616613			−0.308306	−	0.951287i	$-0.599762\pi$
$139$	−7.26976			−0.616613			−0.308306	+	0.951287i	$0.599762\pi$
$140$	−1.52486	−	3.33898i	−0.128874	−	0.282195i
$141$	−4.25329	+	1.24888i	−0.358191	+	0.105174i
$142$	9.80558	−	11.3162i	0.822866	−	0.949638i
$143$	−21.0262	−	13.5127i	−1.75830	−	1.12999i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	0.00542035	+	0.0376994i	0.000450136	+	0.00313076i
$146$	−9.18568	−	2.69716i	−0.760212	−	0.223218i
$147$	−0.841254	+	0.540641i	−0.0693854	+	0.0445913i
$148$	0.381214	−	2.65140i	0.0313356	−	0.217944i
$149$	6.95908	−	15.2383i	0.570110	−	1.24837i	−0.376628	−	0.926364i	$-0.622917\pi$
$149$	6.95908	−	15.2383i	0.570110	−	1.24837i	0.946739	−	0.322003i	$-0.104356\pi$
$150$	−3.52021	+	7.70819i	−0.287424	+	0.629371i
$151$	2.68408	−	18.6682i	0.218428	−	1.51920i	−0.525417	−	0.850845i	$-0.676091\pi$
$151$	2.68408	−	18.6682i	0.218428	−	1.51920i	0.743845	−	0.668353i	$-0.233000\pi$
$152$	−2.32866	+	1.49654i	−0.188879	+	0.121385i
$153$	5.54464	+	1.62805i	0.448257	+	0.131620i
$154$	0.692086	+	4.81356i	0.0557699	+	0.387888i
$155$	−21.3360	−	24.6231i	−1.71375	−	1.97778i
$156$	4.32366	+	2.77865i	0.346170	+	0.222470i
$157$	−5.67178	+	6.54558i	−0.452657	+	0.522394i	−0.935507	−	0.353309i	$-0.885056\pi$
$157$	−5.67178	+	6.54558i	−0.452657	+	0.522394i	0.482849	+	0.875703i	$0.339602\pi$
$158$	−3.42489	+	1.00564i	−0.272469	+	0.0800042i
$159$	1.72717	+	3.78198i	0.136974	+	0.299931i
$160$	3.67069			0.290194
$161$	−4.78843	−	0.266257i	−0.377382	−	0.0209840i
$162$	1.00000			0.0785674
$163$	7.09346	+	15.5325i	0.555603	+	1.21660i	0.954116	+	0.299438i	$0.0967991\pi$
$163$	7.09346	+	15.5325i	0.555603	+	1.21660i	−0.398513	+	0.917163i	$0.630474\pi$
$164$	5.61693	−	1.64928i	0.438609	−	0.128787i
$165$	11.6898	−	13.4907i	0.910048	−	1.05025i
$166$	1.65363	+	1.06273i	0.128347	+	0.0824835i
$167$	−1.66907	−	1.92621i	−0.129156	−	0.149054i	0.687488	−	0.726196i	$-0.258714\pi$
$167$	−1.66907	−	1.92621i	−0.129156	−	0.149054i	−0.816644	+	0.577142i	$0.804168\pi$
$168$	−0.142315	−	0.989821i	−0.0109798	−	0.0763664i
$169$	−12.8715	−	3.77942i	−0.990117	−	0.290725i
$170$	−17.8446	+	11.4680i	−1.36862	+	0.879556i
$171$	0.393939	−	2.73991i	0.0301253	−	0.209526i
$172$	3.78840	−	8.29544i	0.288863	−	0.632521i
$173$	1.89906	−	4.15836i	0.144383	−	0.316154i	−0.823600	−	0.567171i	$-0.808038\pi$
$173$	1.89906	−	4.15836i	0.144383	−	0.316154i	0.967983	+	0.251017i	$0.0807650\pi$
$174$	−0.00147666	+	0.0102704i	−0.000111945	+	0.000778595i
$175$	−7.12875	+	4.58137i	−0.538883	+	0.346319i
$176$	−4.66607	−	1.37008i	−0.351719	−	0.103274i
$177$	0.390741	+	2.71767i	0.0293699	+	0.204272i
$178$	4.44254	+	5.12697i	0.332983	+	0.384282i
$179$	−2.57907	−	1.65747i	−0.192769	−	0.123885i	0.440696	−	0.897656i	$-0.354732\pi$
$179$	−2.57907	−	1.65747i	−0.192769	−	0.123885i	−0.633465	+	0.773771i	$0.718368\pi$
$180$	−2.40379	+	2.77412i	−0.179168	+	0.206771i
$181$	−11.9400	+	3.50589i	−0.887492	+	0.260591i	−0.693538	−	0.720420i	$-0.743949\pi$
$181$	−11.9400	+	3.50589i	−0.887492	+	0.260591i	−0.193953	+	0.981011i	$0.562131\pi$
$182$	2.13504	+	4.67509i	0.158260	+	0.346541i
$183$	−5.37978			−0.397685
$184$	2.23138	−	4.24511i	0.164500	−	0.312953i
$185$	−9.83256			−0.722904
$186$	−3.68722	−	8.07389i	−0.270360	−	0.592007i
$187$	26.9639	−	7.91732i	1.97180	−	0.578972i
$188$	2.90290	−	3.35012i	0.211716	−	0.244333i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	6.65390	+	7.67900i	0.482724	+	0.557094i
$191$	−0.989023	−	6.87881i	−0.0715632	−	0.497733i	−0.993807	−	0.111123i	$-0.964555\pi$
$191$	−0.989023	−	6.87881i	−0.0715632	−	0.497733i	0.922243	−	0.386610i	$-0.126354\pi$
$192$	0.959493	+	0.281733i	0.0692454	+	0.0203323i
$193$	6.68956	−	4.29912i	0.481525	−	0.309457i	−0.277264	−	0.960794i	$-0.589428\pi$
$193$	6.68956	−	4.29912i	0.481525	−	0.309457i	0.758789	+	0.651336i	$0.225791\pi$
$194$	−2.34165	+	16.2866i	−0.168121	+	1.16931i
$195$	7.83708	−	17.1608i	0.561225	−	1.22891i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	−1.33355	+	9.27502i	−0.0950113	+	0.660818i	0.885541	+	0.464561i	$0.153788\pi$
$197$	−1.33355	+	9.27502i	−0.0950113	+	0.660818i	−0.980552	+	0.196257i	$0.937121\pi$
$198$	4.09107	−	2.62917i	0.290740	−	0.186847i
$199$	24.9834	+	7.33577i	1.77102	+	0.520019i	0.993993	−	0.109444i	$-0.0349071\pi$
$199$	24.9834	+	7.33577i	1.77102	+	0.520019i	0.777030	+	0.629463i	$0.216725\pi$
$200$	−1.20597	−	8.38771i	−0.0852750	−	0.593101i
$201$	8.31874	+	9.60034i	0.586759	+	0.677156i
$202$	0.607873	+	0.390656i	0.0427698	+	0.0274865i
$203$	−0.00679483	+	0.00784165i	−0.000476903	+	0.000550376i
$204$	−5.54464	+	1.62805i	−0.388202	+	0.113986i
$205$	−8.92663	−	19.5466i	−0.623463	−	1.36519i
$206$	12.4335			0.866280
$207$	1.74699	+	4.46632i	0.121424	+	0.310431i
$208$	−5.13954			−0.356363
$209$	−5.59205	−	12.2449i	−0.386810	−	0.846997i
$210$	−3.52200	+	1.03415i	−0.243041	+	0.0713633i
$211$	−16.4542	+	18.9892i	−1.13275	+	1.30727i	−0.187009	+	0.982358i	$0.559879\pi$
$211$	−16.4542	+	18.9892i	−1.13275	+	1.30727i	−0.945745	+	0.324910i	$0.894666\pi$
$212$	−3.49769	−	2.24783i	−0.240222	−	0.154381i
$213$	−9.80558	−	11.3162i	−0.671867	−	0.775376i
$214$	−2.68552	−	18.6782i	−0.183578	−	1.27682i
$215$	−32.1191	−	9.43101i	−2.19050	−	0.643190i
$216$	−0.841254	+	0.540641i	−0.0572401	+	0.0367859i
$217$	1.26319	−	8.78566i	0.0857507	−	0.596409i
$218$	−2.21839	+	4.85760i	−0.150248	+	0.328998i
$219$	−3.97696	+	8.70834i	−0.268738	+	0.588455i
$220$	−2.54043	+	17.6691i	−0.171276	+	1.19125i
$221$	24.9852	−	16.0570i	1.68069	−	1.08011i
$222$	−2.57016	−	0.754668i	−0.172498	−	0.0506500i
$223$	0.337400	+	2.34667i	0.0225940	+	0.157145i	0.997995	−	0.0632934i	$-0.0201604\pi$
$223$	0.337400	+	2.34667i	0.0225940	+	0.157145i	−0.975401	+	0.220438i	$0.929251\pi$
$224$	0.654861	+	0.755750i	0.0437547	+	0.0504956i
$225$	7.12875	+	4.58137i	0.475250	+	0.305425i
$226$	3.01897	−	3.48408i	0.200819	−	0.231757i
$227$	0.810948	−	0.238116i	0.0538245	−	0.0158043i	−0.254709	−	0.967018i	$-0.581980\pi$
$227$	0.810948	−	0.238116i	0.0538245	−	0.0158043i	0.308534	+	0.951213i	$0.400162\pi$
$228$	1.14990	+	2.51794i	0.0761542	+	0.166755i
$229$	−9.41782			−0.622347			−0.311173	−	0.950353i	$-0.600722\pi$
$229$	−9.41782			−0.622347			−0.311173	+	0.950353i	$0.600722\pi$
$230$	−16.5895	−	5.88973i	−1.09388	−	0.388357i
$231$	4.86306			0.319966
$232$	−0.00431034	−	0.00943833i	−0.000282988	−	0.000619657i
$233$	−5.25302	+	1.54243i	−0.344137	+	0.101048i	−0.449234	−	0.893414i	$-0.648303\pi$
$233$	−5.25302	+	1.54243i	−0.344137	+	0.101048i	0.105097	+	0.994462i	$0.466485\pi$
$234$	3.36569	−	3.88421i	0.220022	−	0.253919i
$235$	−13.6886	−	8.79710i	−0.892943	−	0.573859i
$236$	−1.79799	−	2.07500i	−0.117039	−	0.135071i
$237$	0.507989	+	3.53314i	0.0329974	+	0.229502i
$238$	−5.54464	−	1.62805i	−0.359405	−	0.105531i
$239$	5.12328	−	3.29253i	0.331398	−	0.212976i	−0.364351	−	0.931262i	$-0.618709\pi$
$239$	5.12328	−	3.29253i	0.331398	−	0.212976i	0.695749	+	0.718285i	$0.255073\pi$
$240$	0.522394	−	3.63333i	0.0337204	−	0.234530i
$241$	−8.08154	+	17.6961i	−0.520578	+	1.13991i	0.448642	+	0.893711i	$0.351908\pi$
$241$	−8.08154	+	17.6961i	−0.520578	+	1.13991i	−0.969220	+	0.246195i	$0.920820\pi$
$242$	5.25474	−	11.5063i	0.337787	−	0.739651i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	4.52576	−	2.90853i	0.289732	−	0.186199i
$245$	−3.52200	−	1.03415i	−0.225012	−	0.0660696i
$246$	−0.833120	−	5.79448i	−0.0531178	−	0.369442i
$247$	−9.31650	−	10.7518i	−0.592795	−	0.684122i
$248$	7.46697	+	4.79873i	0.474153	+	0.304720i
$249$	1.28724	−	1.48556i	0.0815758	−	0.0941435i
$250$	−12.2353	+	3.59261i	−0.773828	+	0.227217i
$251$	3.18361	+	6.97114i	0.200948	+	0.440014i	0.983099	−	0.183074i	$-0.0586049\pi$
$251$	3.18361	+	6.97114i	0.200948	+	0.440014i	−0.782151	+	0.623089i	$0.785878\pi$
$252$	−1.00000			−0.0629941
$253$	18.8898	+	13.6789i	1.18759	+	0.859984i
$254$	21.5013			1.34911
$255$	8.81173	+	19.2950i	0.551812	+	1.20830i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−2.22459	+	2.56731i	−0.138766	+	0.160145i	−0.820879	−	0.571102i	$-0.806516\pi$
$257$	−2.22459	+	2.56731i	−0.138766	+	0.160145i	0.682113	+	0.731247i	$0.261061\pi$
$258$	−7.67185	−	4.93040i	−0.477629	−	0.306953i
$259$	−1.75415	−	2.02440i	−0.108998	−	0.125790i
$260$	2.68487	+	18.6736i	0.166508	+	1.15809i
$261$	0.00995569	+	0.00292325i	0.000616242	+	0.000180945i
$262$	−6.62547	+	4.25793i	−0.409323	+	0.263056i
$263$	1.81019	−	12.5902i	0.111621	−	0.776344i	−0.854722	−	0.519087i	$-0.826272\pi$
$263$	1.81019	−	12.5902i	0.111621	−	0.776344i	0.966343	−	0.257257i	$-0.0828187\pi$
$264$	−2.02019	+	4.42360i	−0.124334	+	0.272254i
$265$	−6.33992	+	13.8825i	−0.389458	+	0.852795i
$266$	−0.393939	+	2.73991i	−0.0241540	+	0.167995i
$267$	5.70702	−	3.66768i	0.349264	−	0.224458i
$268$	−12.1885	−	3.57887i	−0.744532	−	0.218614i
$269$	−1.97633	−	13.7457i	−0.120499	−	0.838088i	−0.956993	−	0.290112i	$-0.906307\pi$
$269$	−1.97633	−	13.7457i	−0.120499	−	0.838088i	0.836494	−	0.547976i	$-0.184602\pi$
$270$	2.40379	+	2.77412i	0.146290	+	0.168828i
$271$	11.3067	+	7.26639i	0.686835	+	0.441402i	0.836959	−	0.547265i	$-0.184331\pi$
$271$	11.3067	+	7.26639i	0.686835	+	0.441402i	−0.150124	+	0.988667i	$0.547967\pi$
$272$	3.78425	−	4.36726i	0.229454	−	0.264804i
$273$	4.93136	−	1.44798i	0.298459	−	0.0876356i
$274$	3.22504	+	7.06186i	0.194832	+	0.426622i
$275$	41.2094			2.48502
$276$	−3.88434	−	2.81281i	−0.233810	−	0.169311i
$277$	28.4138			1.70722			0.853610	−	0.520912i	$-0.174408\pi$
$277$	28.4138			1.70722			0.853610	+	0.520912i	$0.174408\pi$
$278$	−3.01997	−	6.61280i	−0.181125	−	0.396609i
$279$	−8.51646	+	2.50066i	−0.509867	+	0.149711i
$280$	2.40379	−	2.77412i	0.143654	−	0.165786i
$281$	12.7393	+	8.18707i	0.759965	+	0.488400i	0.862330	−	0.506347i	$-0.169005\pi$
$281$	12.7393	+	8.18707i	0.759965	+	0.488400i	−0.102365	+	0.994747i	$0.532641\pi$
$282$	−2.90290	−	3.35012i	−0.172865	−	0.199497i
$283$	−0.0492310	−	0.342409i	−0.00292648	−	0.0203541i	0.988306	−	0.152484i	$-0.0487274\pi$
$283$	−0.0492310	−	0.342409i	−0.00292648	−	0.0203541i	−0.991232	+	0.132130i	$0.957818\pi$
$284$	14.3670	+	4.21853i	0.852524	+	0.250324i
$285$	8.54779	−	5.49333i	0.506327	−	0.325397i
$286$	3.55701	−	24.7395i	0.210330	−	1.46288i
$287$	2.43187	−	5.32504i	0.143549	−	0.314327i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	−2.33305	+	16.2267i	−0.137238	+	0.954512i
$290$	−0.0320408	+	0.0205914i	−0.00188150	+	0.00120917i
$291$	15.7875	+	4.63564i	0.925481	+	0.271746i
$292$	−1.36245	−	9.47603i	−0.0797312	−	0.554543i
$293$	−0.295010	−	0.340460i	−0.0172347	−	0.0198899i	0.747067	−	0.664749i	$-0.231462\pi$
$293$	−0.295010	−	0.340460i	−0.0172347	−	0.0198899i	−0.764301	+	0.644859i	$0.776916\pi$
$294$	−0.841254	−	0.540641i	−0.0490629	−	0.0315308i
$295$	−6.59988	+	7.61667i	−0.384260	+	0.443459i
$296$	2.57016	−	0.754668i	0.149388	−	0.0438642i
$297$	−2.02019	−	4.42360i	−0.117223	−	0.256683i
$298$	16.7521			0.970424
$299$	23.2279	+	8.24655i	1.34331	+	0.476911i
$300$	−8.47396			−0.489245
$301$	−3.78840	−	8.29544i	−0.218360	−	0.478141i
$302$	18.0962	−	5.31353i	1.04132	−	0.305759i
$303$	0.473189	−	0.546089i	0.0271840	−	0.0313720i
$304$	−2.32866	−	1.49654i	−0.133558	−	0.0858324i
$305$	−12.9319	−	14.9242i	−0.740476	−	0.854555i
$306$	0.822397	+	5.71990i	0.0470133	+	0.326985i
$307$	−25.4948	−	7.48596i	−1.45507	−	0.427246i	−0.543853	−	0.839180i	$-0.683035\pi$
$307$	−25.4948	−	7.48596i	−1.45507	−	0.427246i	−0.911214	+	0.411934i	$0.864853\pi$
$308$	−4.09107	+	2.62917i	−0.233110	+	0.149811i
$309$	1.76946	−	12.3069i	0.100661	−	0.700115i
$310$	13.5347	−	29.6368i	0.768717	−	1.68326i
$311$	0.407904	−	0.893185i	0.0231301	−	0.0506479i	−0.897714	−	0.440578i	$-0.854774\pi$
$311$	0.407904	−	0.893185i	0.0231301	−	0.0506479i	0.920844	+	0.389930i	$0.127501\pi$
$312$	−0.731434	+	5.08723i	−0.0414093	+	0.288008i
$313$	−18.4899	+	11.8827i	−1.04511	+	0.671652i	−0.946246	−	0.323449i	$-0.895158\pi$
$313$	−18.4899	+	11.8827i	−1.04511	+	0.671652i	−0.0988654	+	0.995101i	$0.531521\pi$
$314$	−8.31021	−	2.44010i	−0.468972	−	0.137703i
$315$	0.522394	+	3.63333i	0.0294335	+	0.204715i
$316$	−2.33751	−	2.69763i	−0.131495	−	0.151753i
$317$	12.8781	+	8.27623i	0.723304	+	0.464839i	0.849785	−	0.527130i	$-0.176732\pi$
$317$	12.8781	+	8.27623i	0.723304	+	0.464839i	−0.126481	+	0.991969i	$0.540368\pi$
$318$	−2.72272	+	3.14219i	−0.152683	+	0.176205i
$319$	0.0484151	−	0.0142160i	0.00271073	−	0.000795941i
$320$	1.52486	+	3.33898i	0.0852422	+	0.186654i
$321$	−18.8703			−1.05324
$322$	−1.74699	−	4.46632i	−0.0973560	−	0.248898i
$323$	15.9960			0.890040
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	41.7881	−	12.2701i	2.31799	−	0.680623i
$326$	−11.1821	+	12.9049i	−0.619322	+	0.714735i
$327$	4.49245	+	2.88712i	0.248433	+	0.159658i
$328$	3.83360	+	4.42421i	0.211675	+	0.244286i
$329$	−0.630860	−	4.38773i	−0.0347804	−	0.241903i
$330$	17.1277	+	5.02915i	0.942849	+	0.276846i
$331$	10.4368	−	6.70730i	0.573657	−	0.368667i	−0.221417	−	0.975179i	$-0.571068\pi$
$331$	10.4368	−	6.70730i	0.573657	−	0.368667i	0.795074	+	0.606512i	$0.207432\pi$
$332$	−0.279745	+	1.94567i	−0.0153530	+	0.106782i
$333$	−1.11276	+	2.43660i	−0.0609788	+	0.133525i
$334$	1.05878	−	2.31841i	0.0579341	−	0.126858i
$335$	−6.63600	+	46.1544i	−0.362564	+	2.52169i
$336$	0.841254	−	0.540641i	0.0458941	−	0.0294944i
$337$	−31.1962	−	9.16003i	−1.69937	−	0.498979i	−0.718808	−	0.695209i	$-0.755312\pi$
$337$	−31.1962	−	9.16003i	−1.69937	−	0.498979i	−0.980558	+	0.196230i	$0.937130\pi$
$338$	−1.90914	−	13.2784i	−0.103844	−	0.722249i
$339$	−3.01897	−	3.48408i	−0.163968	−	0.189229i
$340$	−17.8446	−	11.4680i	−0.967757	−	0.621940i
$341$	−28.2668	+	32.6216i	−1.53073	+	1.76656i
$342$	2.65596	−	0.779860i	0.143618	−	0.0421700i
$343$	−0.415415	−	0.909632i	−0.0224303	−	0.0491155i
$344$	9.11955			0.491693
$345$	−8.19072	+	15.5825i	−0.440973	+	0.838932i
$346$	4.57147			0.245764
$347$	−15.2806	−	33.4599i	−0.820306	−	1.79622i	−0.554473	−	0.832202i	$-0.687080\pi$
$347$	−15.2806	−	33.4599i	−0.820306	−	1.79622i	−0.265834	−	0.964019i	$-0.585647\pi$
$348$	−0.00995569	+	0.00292325i	−0.000533681	+	0.000156703i
$349$	−11.8061	+	13.6249i	−0.631965	+	0.729327i	−0.977933	−	0.208920i	$-0.933005\pi$
$349$	−11.8061	+	13.6249i	−0.631965	+	0.729327i	0.345968	+	0.938246i	$0.387551\pi$
$350$	−7.12875	−	4.58137i	−0.381048	−	0.244885i
$351$	−3.36569	−	3.88421i	−0.179647	−	0.207324i
$352$	−0.692086	−	4.81356i	−0.0368883	−	0.256564i
$353$	−15.2065	−	4.46502i	−0.809358	−	0.237649i	−0.149230	−	0.988802i	$-0.547680\pi$
$353$	−15.2065	−	4.46502i	−0.809358	−	0.237649i	−0.660128	+	0.751154i	$0.729498\pi$
$354$	−2.30976	+	1.48439i	−0.122762	+	0.0788945i
$355$	7.82208	−	54.4037i	0.415153	−	2.88745i
$356$	−2.81815	+	6.17090i	−0.149362	+	0.327057i
$357$	−2.40057	+	5.25651i	−0.127051	+	0.278204i
$358$	0.436302	−	3.03455i	0.0230593	−	0.160381i
$359$	25.3655	−	16.3014i	1.33874	−	0.860355i	0.341894	−	0.939738i	$-0.388932\pi$
$359$	25.3655	−	16.3014i	1.33874	−	0.860355i	0.996844	+	0.0793835i	$0.0252952\pi$
$360$	−3.52200	−	1.03415i	−0.185626	−	0.0545046i
$361$	1.61352	+	11.2223i	0.0849223	+	0.590648i
$362$	−8.14912	−	9.40459i	−0.428308	−	0.494294i
$363$	−10.6413	−	6.83877i	−0.558525	−	0.358942i
$364$	−3.36569	+	3.88421i	−0.176410	+	0.203588i
$365$	−33.7178	+	9.90043i	−1.76487	+	0.518212i
$366$	−2.23484	−	4.89362i	−0.116817	−	0.255793i
$367$	−10.7706			−0.562223			−0.281111	−	0.959675i	$-0.590703\pi$
$367$	−10.7706			−0.562223			−0.281111	+	0.959675i	$0.590703\pi$
$368$	4.78843	+	0.266257i	0.249614	+	0.0138796i
$369$	−5.85406			−0.304750
$370$	−4.08459	−	8.94401i	−0.212348	−	0.464977i
$371$	−3.98929	+	1.17136i	−0.207114	+	0.0608141i
$372$	5.81254	−	6.70803i	0.301366	−	0.347795i
$373$	−0.243144	−	0.156259i	−0.0125895	−	0.00809080i	0.534331	−	0.845275i	$-0.320564\pi$
$373$	−0.243144	−	0.156259i	−0.0125895	−	0.00809080i	−0.546920	+	0.837185i	$0.684200\pi$
$374$	18.4031	+	21.2383i	0.951600	+	1.09820i
$375$	1.81478	+	12.6220i	0.0937146	+	0.651800i
$376$	4.25329	+	1.24888i	0.219347	+	0.0644059i
$377$	0.0448622	−	0.0288312i	0.00231052	−	0.00148488i
$378$	−0.142315	+	0.989821i	−0.00731989	+	0.0509109i
$379$	−0.362056	+	0.792792i	−0.0185976	+	0.0407230i	−0.918703	−	0.394949i	$-0.870762\pi$
$379$	−0.362056	+	0.792792i	−0.0185976	+	0.0407230i	0.900105	+	0.435672i	$0.143489\pi$
$380$	−4.22094	+	9.24257i	−0.216530	+	0.474134i
$381$	3.05996	−	21.2825i	0.156766	−	1.09033i
$382$	5.84633	−	3.75721i	0.299124	−	0.192235i
$383$	−6.81312	−	2.00051i	−0.348134	−	0.102221i	0.102990	−	0.994682i	$-0.467159\pi$
$383$	−6.81312	−	2.00051i	−0.348134	−	0.102221i	−0.451125	+	0.892461i	$0.648977\pi$
$384$	0.142315	+	0.989821i	0.00726247	+	0.0505116i
$385$	11.6898	+	13.4907i	0.595767	+	0.687551i
$386$	6.68956	+	4.29912i	0.340490	+	0.218819i
$387$	−5.97204	+	6.89210i	−0.303576	+	0.350345i
$388$	−15.7875	+	4.63564i	−0.801490	+	0.235339i
$389$	−13.2898	−	29.1007i	−0.673821	−	1.47546i	−0.869060	−	0.494707i	$-0.835275\pi$
$389$	−13.2898	−	29.1007i	−0.673821	−	1.47546i	0.195239	−	0.980756i	$-0.437452\pi$
$390$	18.8657			0.955301
$391$	−24.1102	+	13.6657i	−1.21930	+	0.691104i
$392$	1.00000			0.0505076
$393$	3.27169	+	7.16400i	0.165035	+	0.361376i
$394$	−8.99083	+	2.63995i	−0.452952	+	0.132999i
$395$	−8.58027	+	9.90216i	−0.431720	+	0.498232i
$396$	4.09107	+	2.62917i	0.205584	+	0.132121i
$397$	23.8785	+	27.5572i	1.19843	+	1.38306i	0.904083	+	0.427358i	$0.140556\pi$
$397$	23.8785	+	27.5572i	1.19843	+	1.38306i	0.294344	+	0.955700i	$0.404899\pi$
$398$	3.70561	+	25.7730i	0.185745	+	1.29189i
$399$	2.65596	+	0.779860i	0.132964	+	0.0390418i
$400$	7.12875	−	4.58137i	0.356438	−	0.229069i
$401$	3.51842	−	24.4712i	0.175702	−	1.22203i	−0.690870	−	0.722979i	$-0.742772\pi$
$401$	3.51842	−	24.4712i	0.175702	−	1.22203i	0.866571	−	0.499053i	$-0.166319\pi$
$402$	−5.27705	+	11.5551i	−0.263195	+	0.576317i
$403$	−18.9507	+	41.4961i	−0.943999	+	2.06707i
$404$	−0.102834	+	0.715225i	−0.00511617	+	0.0355838i
$405$	3.08798	−	1.98452i	0.153443	−	0.0986118i
$406$	−0.00995569	−	0.00292325i	−0.000494092	−	0.000145079i
$407$	1.85387	+	12.8939i	0.0918928	+	0.639129i
$408$	−3.78425	−	4.36726i	−0.187349	−	0.216212i
$409$	26.1441	+	16.8018i	1.29274	+	0.830794i	0.992402	−	0.123038i	$-0.0392637\pi$
$409$	26.1441	+	16.8018i	1.29274	+	0.830794i	0.300339	+	0.953832i	$0.402900\pi$
$410$	14.0719	−	16.2399i	0.694964	−	0.802031i
$411$	7.44895	−	2.18721i	0.367430	−	0.107887i
$412$	5.16504	+	11.3099i	0.254463	+	0.557197i
$413$	−2.74561			−0.135103
$414$	−3.33698	+	3.44450i	−0.164004	+	0.169288i
$415$	7.21539			0.354190
$416$	−2.13504	−	4.67509i	−0.104679	−	0.229215i
$417$	−6.97528	+	2.04813i	−0.341581	+	0.100297i
$418$	8.81532	−	10.1734i	0.431171	−	0.497598i
$419$	−29.8372	−	19.1752i	−1.45764	−	0.936769i	−0.998836	−	0.0482323i	$-0.984641\pi$
$419$	−29.8372	−	19.1752i	−1.45764	−	0.936769i	−0.458805	−	0.888537i	$-0.651722\pi$
$420$	−2.40379	−	2.77412i	−0.117293	−	0.135363i
$421$	−5.44404	−	37.8641i	−0.265326	−	1.84538i	−0.490973	−	0.871175i	$-0.663358\pi$
$421$	−5.44404	−	37.8641i	−0.265326	−	1.84538i	0.225646	−	0.974209i	$-0.427551\pi$
$422$	−24.1085	−	7.07889i	−1.17358	−	0.344595i
$423$	−3.72915	+	2.39658i	−0.181317	+	0.116526i
$424$	0.591703	−	4.11539i	0.0287357	−	0.199861i
$425$	−20.3423	+	44.5434i	−0.986747	+	2.16067i
$426$	6.22023	−	13.6204i	0.301371	−	0.659911i
$427$	0.765622	−	5.32502i	0.0370511	−	0.257696i
$428$	15.8747	−	10.2020i	0.767332	−	0.493135i
$429$	−23.9815	−	7.04160i	−1.15784	−	0.339972i
$430$	−4.76400	−	33.1343i	−0.229740	−	1.59788i
$431$	10.7419	+	12.3968i	0.517417	+	0.597131i	0.952982	−	0.303026i	$-0.0979969\pi$
$431$	10.7419	+	12.3968i	0.517417	+	0.597131i	−0.435565	+	0.900157i	$0.643451\pi$
$432$	−0.841254	−	0.540641i	−0.0404748	−	0.0260116i
$433$	7.63404	−	8.81015i	0.366869	−	0.423389i	−0.542061	−	0.840339i	$-0.682356\pi$
$433$	7.63404	−	8.81015i	0.366869	−	0.423389i	0.908929	+	0.416950i	$0.136901\pi$
$434$	8.51646	−	2.50066i	0.408803	−	0.120035i
$435$	0.0158219	+	0.0346452i	0.000758603	+	0.00166111i
$436$	−5.34018			−0.255748
$437$	8.12304	+	10.5000i	0.388578	+	0.502281i
$438$	−9.57347			−0.457438
$439$	−6.38838	−	13.9886i	−0.304901	−	0.667640i	0.693714	−	0.720250i	$-0.255973\pi$
$439$	−6.38838	−	13.9886i	−0.304901	−	0.667640i	−0.998615	+	0.0526105i	$0.983246\pi$
$440$	−17.1277	+	5.02915i	−0.816532	+	0.239755i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	24.9852	+	16.0570i	1.18843	+	0.763754i
$443$	21.2604	+	24.5359i	1.01011	+	1.16573i	0.986122	+	0.166022i	$0.0530922\pi$
$443$	21.2604	+	24.5359i	1.01011	+	1.16573i	0.0239921	+	0.999712i	$0.492362\pi$
$444$	−0.381214	−	2.65140i	−0.0180916	−	0.125830i
$445$	23.8931	+	7.01564i	1.13264	+	0.332573i
$446$	−1.99445	+	1.28175i	−0.0944397	+	0.0606927i
$447$	2.38408	−	16.5816i	0.112763	−	0.784283i
$448$	−0.415415	+	0.909632i	−0.0196265	+	0.0429761i
$449$	−16.2831	+	35.6551i	−0.768448	+	1.68267i	−0.0384084	+	0.999262i	$0.512229\pi$
$449$	−16.2831	+	35.6551i	−0.768448	+	1.68267i	−0.730040	+	0.683405i	$0.760499\pi$
$450$	−1.20597	+	8.38771i	−0.0568500	+	0.395400i
$451$	−23.9494	+	15.3913i	−1.12773	+	0.724749i
$452$	4.42335	+	1.29881i	0.208057	+	0.0610910i
$453$	−2.68408	−	18.6682i	−0.126109	−	0.877109i
$454$	0.553477	+	0.638747i	0.0259760	+	0.0299779i
$455$	15.8708	+	10.1996i	0.744035	+	0.478162i
$456$	−1.81271	+	2.09198i	−0.0848879	+	0.0979659i
$457$	13.6681	−	4.01331i	0.639365	−	0.187735i	0.0540473	−	0.998538i	$-0.482788\pi$
$457$	13.6681	−	4.01331i	0.639365	−	0.187735i	0.585318	+	0.810804i	$0.300970\pi$
$458$	−3.91230	−	8.56675i	−0.182810	−	0.400298i
$459$	5.77872			0.269727
$460$	−1.53405	−	17.5370i	−0.0715253	−	0.817669i
$461$	37.2258			1.73378			0.866888	−	0.498503i	$-0.166117\pi$
$461$	37.2258			1.73378			0.866888	+	0.498503i	$0.166117\pi$
$462$	2.02019	+	4.42360i	0.0939877	+	0.205804i
$463$	−19.3698	+	5.68748i	−0.900190	+	0.264320i	−0.698906	−	0.715213i	$-0.746329\pi$
$463$	−19.3698	+	5.68748i	−0.900190	+	0.264320i	−0.201284	+	0.979533i	$0.564511\pi$
$464$	0.00679483	−	0.00784165i	0.000315442	−	0.000364039i
$465$	−27.4089	−	17.6146i	−1.27106	−	0.816860i
$466$	−3.58522	−	4.13757i	−0.166082	−	0.191669i
$467$	2.88465	+	20.0632i	0.133486	+	0.928414i	0.940962	+	0.338513i	$0.109924\pi$
$467$	2.88465	+	20.0632i	0.133486	+	0.928414i	−0.807476	+	0.589901i	$0.799167\pi$
$468$	4.93136	+	1.44798i	0.227952	+	0.0669328i
$469$	−10.6865	+	6.86780i	−0.493457	+	0.317125i
$470$	2.31569	−	16.1060i	0.106815	−	0.742914i
$471$	−3.59793	+	7.87836i	−0.165784	+	0.363016i
$472$	1.14057	−	2.49750i	0.0524989	−	0.114957i
$473$	−6.31151	+	43.8975i	−0.290204	+	2.01841i
$474$	−3.00283	+	1.92980i	−0.137925	+	0.0886388i
$475$	22.5065	+	6.60850i	1.03267	+	0.303219i
$476$	−0.822397	−	5.71990i	−0.0376945	−	0.262171i
$477$	2.72272	+	3.14219i	0.124665	+	0.143871i
$478$	5.12328	+	3.29253i	0.234334	+	0.150597i
$479$	−17.8706	+	20.6237i	−0.816527	+	0.942322i	−0.999165	−	0.0408578i	$-0.986991\pi$
$479$	−17.8706	+	20.6237i	−0.816527	+	0.942322i	0.182638	+	0.983180i	$0.441536\pi$
$480$	3.52200	−	1.03415i	0.160757	−	0.0472024i
$481$	5.71907	+	12.5230i	0.260767	+	0.571001i
$482$	−19.4541			−0.886112
$483$	−4.66948	+	1.09359i	−0.212469	+	0.0497599i
$484$	12.6494			0.574972
$485$	25.0901	+	54.9396i	1.13928	+	2.49468i
$486$	0.959493	−	0.281733i	0.0435235	−	0.0127796i
$487$	3.57869	−	4.13003i	0.162166	−	0.187150i	−0.668851	−	0.743396i	$-0.733214\pi$
$487$	3.57869	−	4.13003i	0.162166	−	0.187150i	0.831017	+	0.556247i	$0.187759\pi$
$488$	4.52576	+	2.90853i	0.204871	+	0.131663i
$489$	11.1821	+	12.9049i	0.505674	+	0.583579i
$490$	−0.522394	−	3.63333i	−0.0235993	−	0.164137i
$491$	18.9829	+	5.57389i	0.856687	+	0.251546i	0.680443	−	0.732801i	$-0.261787\pi$
$491$	18.9829	+	5.57389i	0.856687	+	0.251546i	0.176243	+	0.984347i	$0.443605\pi$
$492$	4.92475	−	3.16495i	0.222025	−	0.142687i
$493$	−0.00853318	+	0.0593496i	−0.000384315	+	0.00267297i
$494$	5.90998	−	12.9411i	0.265903	−	0.582246i
$495$	7.41549	−	16.2377i	0.333301	−	0.729828i
$496$	−1.26319	+	8.78566i	−0.0567188	+	0.394488i
$497$	12.5965	−	8.09530i	0.565032	−	0.363124i
$498$	1.88605	+	0.553795i	0.0845161	+	0.0248162i
$499$	−0.00355500	−	0.0247256i	−0.000159144	−	0.00110687i	0.989742	−	0.142868i	$-0.0456325\pi$
$499$	−0.00355500	−	0.0247256i	−0.000159144	−	0.00110687i	−0.989901	+	0.141761i	$0.954723\pi$
$500$	−8.35068	−	9.63720i	−0.373454	−	0.430989i
$501$	−2.14414	−	1.37795i	−0.0957929	−	0.0615624i
$502$	−5.01865	+	5.79183i	−0.223993	+	0.258502i
$503$	24.0092	−	7.04973i	1.07052	−	0.314332i	0.301437	−	0.953486i	$-0.402534\pi$
$503$	24.0092	−	7.04973i	1.07052	−	0.314332i	0.769079	+	0.639154i	$0.220715\pi$
$504$	−0.415415	−	0.909632i	−0.0185041	−	0.0405182i
$505$	2.65237			0.118029
$506$	−4.59565	+	22.8652i	−0.204302	+	1.01648i
$507$	−13.4149			−0.595778
$508$	8.93198	+	19.5583i	0.396292	+	0.867759i
$509$	−6.10859	+	1.79364i	−0.270758	+	0.0795018i	−0.414293	−	0.910143i	$-0.635971\pi$
$509$	−6.10859	+	1.79364i	−0.270758	+	0.0795018i	0.143535	+	0.989645i	$0.454153\pi$
$510$	−13.8908	+	16.0309i	−0.615096	+	0.709859i
$511$	−8.05372	−	5.17581i	−0.356275	−	0.228964i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−0.393939	−	2.73991i	−0.0173929	−	0.120970i
$514$	−3.25944	−	0.957057i	−0.143768	−	0.0422140i
$515$	38.3943	−	24.6745i	1.69185	−	1.08729i
$516$	1.29785	−	9.02673i	0.0571345	−	0.397380i
$517$	−8.95519	+	19.6091i	−0.393849	+	0.862409i
$518$	1.11276	−	2.43660i	0.0488918	−	0.107058i
$519$	0.650589	−	4.52494i	0.0285577	−	0.198623i
$520$	−15.8708	+	10.1996i	−0.695981	+	0.447280i
$521$	30.2838	+	8.89214i	1.32676	+	0.389572i	0.866927	−	0.498434i	$-0.166092\pi$
$521$	30.2838	+	8.89214i	1.32676	+	0.389572i	0.459832	+	0.888006i	$0.347910\pi$
$522$	0.00147666	+	0.0102704i	6.46315e−5	+	0.000449522i
$523$	19.5673	+	22.5819i	0.855620	+	0.987438i	0.999998	−	0.00208489i	$-0.000663642\pi$
$523$	19.5673	+	22.5819i	0.855620	+	0.987438i	−0.144378	+	0.989523i	$0.546118\pi$
$524$	−6.62547	−	4.25793i	−0.289435	−	0.186009i
$525$	−5.54927	+	6.40419i	−0.242190	+	0.279502i
$526$	12.2044	−	3.58354i	0.532138	−	0.156250i
$527$	−21.3074	−	46.6567i	−0.928166	−	2.03240i
$528$	−4.86306			−0.211638
$529$	−21.2139	−	8.88653i	−0.922344	−	0.386371i
$530$	−15.2617			−0.662924
$531$	1.14057	+	2.49750i	0.0494965	+	0.108382i
$532$	−2.65596	+	0.779860i	−0.115150	+	0.0338112i
$533$	−19.7029	+	22.7384i	−0.853429	+	0.984910i
$534$	5.70702	+	3.66768i	0.246967	+	0.158716i
$535$	−45.3602	−	52.3485i	−1.96109	−	2.26322i
$536$	−1.80784	−	12.5738i	−0.0780866	−	0.543104i
$537$	−2.94157	−	0.863722i	−0.126938	−	0.0372724i
$538$	11.6825	−	7.50789i	0.503669	−	0.323688i
$539$	−0.692086	+	4.81356i	−0.0298103	+	0.207335i
$540$	−1.52486	+	3.33898i	−0.0656195	+	0.143687i
$541$	−1.73288	+	3.79447i	−0.0745022	+	0.163137i	−0.943219	−	0.332173i	$-0.892218\pi$
$541$	−1.73288	+	3.79447i	−0.0745022	+	0.163137i	0.868716	+	0.495310i	$0.164946\pi$
$542$	−1.91276	+	13.3035i	−0.0821600	+	0.571436i
$543$	−10.4686	+	6.72776i	−0.449251	+	0.288716i
$544$	5.54464	+	1.62805i	0.237724	+	0.0698022i
$545$	2.78968	+	19.4026i	0.119497	+	0.831117i
$546$	3.36569	+	3.88421i	0.144038	+	0.166229i
$547$	−6.99586	−	4.49597i	−0.299121	−	0.192234i	0.382468	−	0.923969i	$-0.375074\pi$
$547$	−6.99586	−	4.49597i	−0.299121	−	0.192234i	−0.681589	+	0.731735i	$0.738711\pi$
$548$	−5.08396	+	5.86720i	−0.217176	+	0.250635i
$549$	−5.16186	+	1.51566i	−0.220303	+	0.0646867i
$550$	17.1190	+	37.4854i	0.729957	+	1.59838i
$551$	0.0287216			0.00122358
$552$	0.945013	−	4.70180i	0.0402224	−	0.200122i
$553$	−3.56947			−0.151789
$554$	11.8035	+	25.8461i	0.501484	+	1.09810i
$555$	−9.43427	+	2.77015i	−0.400462	+	0.117586i
$556$	4.76068	−	5.49411i	0.201898	−	0.233002i
$557$	11.2955	+	7.25921i	0.478608	+	0.307582i	0.757609	−	0.652708i	$-0.226367\pi$
$557$	11.2955	+	7.25921i	0.478608	+	0.307582i	−0.279002	+	0.960291i	$0.590004\pi$
$558$	−5.81254	−	6.70803i	−0.246065	−	0.283974i
$559$	6.67035	+	46.3933i	0.282126	+	1.96223i
$560$	3.52200	+	1.03415i	0.148832	+	0.0437009i
$561$	23.6411	−	15.1932i	0.998129	−	0.641459i
$562$	−2.15511	+	14.9891i	−0.0909079	+	0.632278i
$563$	4.79868	−	10.5076i	0.202240	−	0.442844i	−0.781151	−	0.624342i	$-0.785367\pi$
$563$	4.79868	−	10.5076i	0.202240	−	0.442844i	0.983391	+	0.181498i	$0.0580945\pi$
$564$	1.84147	−	4.03226i	0.0775399	−	0.169789i
$565$	2.40828	−	16.7500i	0.101317	−	0.704677i
$566$	0.291015	−	0.187024i	0.0122323	−	0.00786120i
$567$	0.959493	+	0.281733i	0.0402949	+	0.0118317i
$568$	2.13096	+	14.8211i	0.0894129	+	0.621880i
$569$	7.48894	+	8.64270i	0.313953	+	0.362321i	0.890692	−	0.454608i	$-0.150220\pi$
$569$	7.48894	+	8.64270i	0.313953	+	0.362321i	−0.576739	+	0.816928i	$0.695675\pi$
$570$	8.54779	+	5.49333i	0.358028	+	0.230090i
$571$	19.1546	−	22.1055i	0.801593	−	0.925088i	−0.196874	−	0.980429i	$-0.563079\pi$
$571$	19.1546	−	22.1055i	0.801593	−	0.925088i	0.998468	+	0.0553406i	$0.0176245\pi$
$572$	23.9815	−	7.04160i	1.00272	−	0.294424i
$573$	−2.88695	−	6.32153i	−0.120604	−	0.264086i
$574$	5.85406			0.244344
$575$	−39.5690	+	9.26701i	−1.65014	+	0.386461i
$576$	1.00000			0.0416667
$577$	18.5665	+	40.6550i	0.772935	+	1.69249i	0.720083	+	0.693888i	$0.244104\pi$
$577$	18.5665	+	40.6550i	0.772935	+	1.69249i	0.0528520	+	0.998602i	$0.483169\pi$
$578$	−15.7295	+	4.61860i	−0.654261	+	0.192108i
$579$	5.20738	−	6.00964i	0.216411	−	0.249752i
$580$	−0.0320408	−	0.0205914i	−0.00133042	−	0.000855011i
$581$	1.28724	+	1.48556i	0.0534039	+	0.0616314i
$582$	2.34165	+	16.2866i	0.0970646	+	0.675099i
$583$	19.4002	+	5.69640i	0.803473	+	0.235921i
$584$	8.05372	−	5.17581i	0.333265	−	0.214177i
$585$	2.68487	−	18.6736i	0.111006	−	0.772060i
$586$	0.187142	−	0.409783i	0.00773075	−	0.0169280i
$587$	−3.17245	+	6.94670i	−0.130941	+	0.286721i	−0.963735	−	0.266863i	$-0.914013\pi$
$587$	−3.17245	+	6.94670i	−0.130941	+	0.286721i	0.832793	+	0.553584i	$0.186740\pi$
$588$	0.142315	−	0.989821i	0.00586897	−	0.0408195i
$589$	−20.6692	+	13.2833i	−0.851659	+	0.547328i
$590$	−9.67005	−	2.83938i	−0.398110	−	0.116896i
$591$	1.33355	+	9.27502i	0.0548548	+	0.381523i
$592$	1.75415	+	2.02440i	0.0720953	+	0.0832024i
$593$	6.98142	+	4.48668i	0.286692	+	0.184246i	0.676081	−	0.736828i	$-0.263677\pi$
$593$	6.98142	+	4.48668i	0.286692	+	0.184246i	−0.389388	+	0.921074i	$0.627313\pi$
$594$	3.18463	−	3.67526i	0.130667	−	0.150798i
$595$	−20.3526	+	5.97608i	−0.834377	+	0.244995i
$596$	6.95908	+	15.2383i	0.285055	+	0.624184i
$597$	26.0381			1.06567
$598$	2.14791	+	24.5546i	0.0878345	+	1.00411i
$599$	−20.0246			−0.818183			−0.409091	−	0.912493i	$-0.634154\pi$
$599$	−20.0246			−0.818183			−0.409091	+	0.912493i	$0.634154\pi$
$600$	−3.52021	−	7.70819i	−0.143712	−	0.314685i
$601$	29.9260	−	8.78707i	1.22071	−	0.358432i	0.392972	−	0.919550i	$-0.371447\pi$
$601$	29.9260	−	8.78707i	1.22071	−	0.358432i	0.827736	+	0.561118i	$0.189629\pi$
$602$	5.97204	−	6.89210i	0.243402	−	0.280901i
$603$	10.6865	+	6.86780i	0.435188	+	0.279678i
$604$	12.3508	+	14.2536i	0.502547	+	0.579970i
$605$	−6.60795	−	45.9593i	−0.268651	−	1.86851i
$606$	0.693310	+	0.203574i	0.0281638	+	0.00826964i
$607$	23.8592	−	15.3334i	0.968416	−	0.622363i	0.0421009	−	0.999113i	$-0.486595\pi$
$607$	23.8592	−	15.3334i	0.968416	−	0.622363i	0.926315	+	0.376750i	$0.122959\pi$
$608$	0.393939	−	2.73991i	0.0159764	−	0.111118i
$609$	−0.00431034	+	0.00943833i	−0.000174664	+	0.000382460i
$610$	8.20341	−	17.9630i	0.332146	−	0.727299i
$611$	−3.24233	+	22.5509i	−0.131171	+	0.912313i
$612$	−4.86137	+	3.12421i	−0.196509	+	0.126289i
$613$	−26.8558	−	7.88557i	−1.08469	−	0.318495i	−0.309940	−	0.950756i	$-0.600309\pi$
$613$	−26.8558	−	7.88557i	−1.08469	−	0.318495i	−0.774755	+	0.632261i	$0.782127\pi$
$614$	−3.78147	−	26.3007i	−0.152608	−	1.06141i
$615$	−14.0719	−	16.2399i	−0.567436	−	0.654856i
$616$	−4.09107	−	2.62917i	−0.164834	−	0.105932i
$617$	2.51520	−	2.90270i	0.101258	−	0.116858i	−0.702858	−	0.711330i	$-0.748093\pi$
$617$	2.51520	−	2.90270i	0.101258	−	0.116858i	0.804117	+	0.594472i	$0.202639\pi$
$618$	11.9298	−	3.50291i	0.479887	−	0.140908i
$619$	3.96049	+	8.67227i	0.159186	+	0.348568i	0.972372	−	0.233435i	$-0.0749965\pi$
$619$	3.96049	+	8.67227i	0.159186	+	0.348568i	−0.813187	+	0.582003i	$0.802269\pi$
$620$	32.5810			1.30849
$621$	2.93453	+	3.79322i	0.117759	+	0.152217i
$622$	0.981919			0.0393714
$623$	2.81815	+	6.17090i	0.112907	+	0.247232i
$624$	−4.93136	+	1.44798i	−0.197412	+	0.0579655i
$625$	−2.90643	+	3.35420i	−0.116257	+	0.134168i
$626$	−18.4899	−	11.8827i	−0.739005	−	0.474930i
$627$	−8.81532	−	10.1734i	−0.352050	−	0.406287i
$628$	−1.23260	−	8.57289i	−0.0491859	−	0.342095i
$629$	−14.8522	−	4.36101i	−0.592198	−	0.173885i
$630$	−3.08798	+	1.98452i	−0.123028	+	0.0790654i
$631$	4.72201	−	32.8423i	0.187980	−	1.30743i	−0.649248	−	0.760577i	$-0.724916\pi$
$631$	4.72201	−	32.8423i	0.187980	−	1.30743i	0.837228	−	0.546854i	$-0.184175\pi$
$632$	1.48281	−	3.24691i	0.0589831	−	0.129155i
$633$	−10.4378	+	22.8557i	−0.414866	+	0.908431i
$634$	−2.17858	+	15.1524i	−0.0865225	+	0.601777i
$635$	66.3957	−	42.6699i	2.63483	−	1.69330i
$636$	−3.98929	−	1.17136i	−0.158186	−	0.0464475i
$637$	0.731434	+	5.08723i	0.0289805	+	0.201563i
$638$	0.0330437	+	0.0381344i	0.00130821	+	0.00150976i
$639$	−12.5965	−	8.09530i	−0.498311	−	0.320245i
$640$	−2.40379	+	2.77412i	−0.0950182	+	0.109657i
$641$	−44.1767	+	12.9715i	−1.74488	+	0.512342i	−0.989697	−	0.143176i	$-0.954268\pi$
$641$	−44.1767	+	12.9715i	−1.74488	+	0.512342i	−0.755179	+	0.655518i	$0.772450\pi$
$642$	−7.83900	−	17.1650i	−0.309381	−	0.677449i
$643$	−17.7707			−0.700808			−0.350404	−	0.936599i	$-0.613956\pi$
$643$	−17.7707			−0.700808			−0.350404	+	0.936599i	$0.613956\pi$
$644$	3.33698	−	3.44450i	0.131496	−	0.135732i
$645$	−33.4750			−1.31808
$646$	6.64497	+	14.5505i	0.261443	+	0.572480i
$647$	21.7669	−	6.39134i	0.855745	−	0.251270i	0.175704	−	0.984443i	$-0.443780\pi$
$647$	21.7669	−	6.39134i	0.855745	−	0.251270i	0.680042	+	0.733174i	$0.261962\pi$
$648$	−0.654861	+	0.755750i	−0.0257254	+	0.0296886i
$649$	11.2325	+	7.21868i	0.440914	+	0.283358i
$650$	28.5207	+	32.9146i	1.11867	+	1.29102i
$651$	−1.26319	−	8.78566i	−0.0495082	−	0.344337i
$652$	−16.3839	−	4.81075i	−0.641644	−	0.188404i
$653$	9.82273	−	6.31269i	0.384393	−	0.247035i	−0.334145	−	0.942522i	$-0.608448\pi$
$653$	9.82273	−	6.31269i	0.384393	−	0.247035i	0.718539	+	0.695487i	$0.244811\pi$
$654$	−0.759987	+	5.28583i	−0.0297178	+	0.206692i
$655$	−12.0094	+	26.2968i	−0.469245	+	1.02750i
$656$	−2.43187	+	5.32504i	−0.0949484	+	0.207908i
$657$	−1.36245	+	9.47603i	−0.0531541	+	0.369695i
$658$	3.72915	−	2.39658i	0.145377	−	0.0934284i
$659$	34.7756	+	10.2110i	1.35466	+	0.397765i	0.876879	−	0.480712i	$-0.159622\pi$
$659$	34.7756	+	10.2110i	1.35466	+	0.397765i	0.477785	+	0.878477i	$0.341440\pi$
$660$	2.54043	+	17.6691i	0.0988862	+	0.687769i
$661$	−4.44922	−	5.13467i	−0.173054	−	0.199715i	0.662596	−	0.748977i	$-0.269455\pi$
$661$	−4.44922	−	5.13467i	−0.173054	−	0.199715i	−0.835651	+	0.549261i	$0.814909\pi$
$662$	10.4368	+	6.70730i	0.405636	+	0.260687i
$663$	19.4493	−	22.4457i	0.755350	−	0.871720i
$664$	−1.88605	+	0.553795i	−0.0731931	+	0.0214914i
$665$	4.22094	+	9.24257i	0.163681	+	0.358411i
$666$	−2.67867			−0.103796
$667$	−0.0432911	+	0.0245375i	−0.00167624	+	0.000950095i
$668$	2.54874			0.0986137
$669$	0.984867	+	2.15656i	0.0380771	+	0.0833773i
$670$	−44.7402	+	13.1369i	−1.72847	+	0.507523i
$671$	−17.1326	+	19.7721i	−0.661396	+	0.763292i
$672$	0.841254	+	0.540641i	0.0324521	+	0.0208557i
$673$	−3.57571	−	4.12659i	−0.137834	−	0.159068i	0.682636	−	0.730759i	$-0.260833\pi$
$673$	−3.57571	−	4.12659i	−0.137834	−	0.159068i	−0.820470	+	0.571690i	$0.806288\pi$
$674$	−4.62711	−	32.1823i	−0.178230	−	1.23962i
$675$	8.13071	+	2.38739i	0.312951	+	0.0918907i
$676$	11.2854	−	7.25265i	0.434052	−	0.278948i
$677$	2.21033	−	15.3732i	0.0849498	−	0.590839i	−0.902233	−	0.431248i	$-0.858073\pi$
$677$	2.21033	−	15.3732i	0.0849498	−	0.590839i	0.987183	−	0.159591i	$-0.0510175\pi$
$678$	1.91510	−	4.19349i	0.0735490	−	0.161050i
$679$	−6.83525	+	14.9671i	−0.262313	+	0.574385i
$680$	3.01876	−	20.9960i	0.115764	−	0.805159i
$681$	0.711014	−	0.456941i	0.0272461	−	0.0175100i
$682$	−41.4161	−	12.1609i	−1.58590	−	0.465663i
$683$	2.47447	+	17.2103i	0.0946831	+	0.658536i	0.980792	+	0.195058i	$0.0624895\pi$
$683$	2.47447	+	17.2103i	0.0946831	+	0.658536i	−0.886109	+	0.463478i	$0.846601\pi$
$684$	1.81271	+	2.09198i	0.0693107	+	0.0799888i
$685$	23.9733	+	15.4067i	0.915973	+	0.588660i
$686$	0.654861	−	0.755750i	0.0250027	−	0.0288547i
$687$	−9.03633	+	2.65331i	−0.344757	+	0.101230i
$688$	3.78840	+	8.29544i	0.144431	+	0.316261i
$689$	21.3687			0.814084
$690$	−17.5769	−	0.977348i	−0.669140	−	0.0372070i
$691$	0.518844			0.0197378			0.00986888	−	0.999951i	$-0.496859\pi$
$691$	0.518844			0.0197378			0.00986888	+	0.999951i	$0.496859\pi$
$692$	1.89906	+	4.15836i	0.0721914	+	0.158077i
$693$	4.66607	−	1.37008i	0.177249	−	0.0520451i
$694$	24.0884	−	27.7995i	0.914383	−	1.05525i
$695$	−22.4489	−	14.4270i	−0.851534	−	0.547248i
$696$	−0.00679483	−	0.00784165i	−0.000257557	−	0.000297237i
$697$	−4.81437	−	33.4846i	−0.182357	−	1.26832i
$698$	−17.2981	−	5.07918i	−0.654743	−	0.192250i
$699$	−4.60568	+	2.95989i	−0.174203	+	0.111953i
$700$	1.20597	−	8.38771i	0.0455814	−	0.317026i
$701$	0.407672	−	0.892676i	0.0153975	−	0.0337159i	−0.901777	−	0.432202i	$-0.857737\pi$
$701$	0.407672	−	0.892676i	0.0153975	−	0.0337159i	0.917175	+	0.398486i	$0.130464\pi$
$702$	2.13504	−	4.67509i	0.0805820	−	0.176450i
$703$	−1.05523	+	7.33931i	−0.0397989	+	0.276807i
$704$	4.09107	−	2.62917i	0.154188	−	0.0990906i
$705$	−15.6125	−	4.58424i	−0.588001	−	0.172653i
$706$	−2.25547	−	15.6871i	−0.0848856	−	0.590392i
$707$	0.473189	+	0.546089i	0.0177961	+	0.0205378i
$708$	−2.30976	−	1.48439i	−0.0868060	−	0.0557868i
$709$	−19.6466	+	22.6734i	−0.737844	+	0.851517i	−0.993331	−	0.115295i	$-0.963219\pi$
$709$	−19.6466	+	22.6734i	−0.737844	+	0.851517i	0.255487	+	0.966812i	$0.417764\pi$
$710$	52.7368	−	15.4849i	1.97918	−	0.581139i
$711$	1.48281	+	3.24691i	0.0556098	+	0.121769i
$712$	−6.78395			−0.254239
$713$	19.8058	−	37.6796i	0.741732	−	1.41111i
$714$	−5.77872			−0.216263
$715$	−38.1122	−	83.4541i	−1.42532	−	3.12101i
$716$	2.94157	−	0.863722i	0.109932	−	0.0322788i
$717$	3.98814	−	4.60256i	0.148940	−	0.171886i
$718$	25.3655	+	16.3014i	0.946631	+	0.608363i
$719$	8.81255	+	10.1702i	0.328653	+	0.379286i	0.895895	−	0.444265i	$-0.146535\pi$
$719$	8.81255	+	10.1702i	0.328653	+	0.379286i	−0.567243	+	0.823551i	$0.691990\pi$
$720$	−0.522394	−	3.63333i	−0.0194685	−	0.135406i
$721$	11.9298	+	3.50291i	0.444289	+	0.130455i
$722$	−9.53789	+	6.12963i	−0.354963	+	0.228121i
$723$	−2.76861	+	19.2561i	−0.102966	+	0.716143i
$724$	5.16945	−	11.3195i	0.192121	−	0.420686i
$725$	−0.0365257	+	0.0799801i	−0.00135653	+	0.00297038i
$726$	1.80019	−	12.5206i	0.0668114	−	0.464684i
$727$	2.13803	−	1.37403i	0.0792953	−	0.0509600i	−0.500392	−	0.865799i	$-0.666811\pi$
$727$	2.13803	−	1.37403i	0.0792953	−	0.0509600i	0.579688	+	0.814839i	$0.303175\pi$
$728$	−4.93136	−	1.44798i	−0.182768	−	0.0536656i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	−23.0126	−	26.5580i	−0.851735	−	0.982955i
$731$	−44.3335	−	28.4914i	−1.63973	−	1.05379i
$732$	3.52300	−	4.06576i	0.130214	−	0.150275i
$733$	24.2676	−	7.12560i	0.896343	−	0.263190i	0.199061	−	0.979987i	$-0.436211\pi$
$733$	24.2676	−	7.12560i	0.896343	−	0.263190i	0.697282	+	0.716797i	$0.254393\pi$
$734$	−4.47429	−	9.79732i	−0.165149	−	0.361626i
$735$	−3.67069			−0.135395
$736$	1.74699	+	4.46632i	0.0643950	+	0.164631i
$737$	61.7758			2.27554
$738$	−2.43187	−	5.32504i	−0.0895182	−	0.196018i
$739$	−1.29029	+	0.378865i	−0.0474643	+	0.0139368i	−0.305378	−	0.952231i	$-0.598783\pi$
$739$	−1.29029	+	0.378865i	−0.0474643	+	0.0139368i	0.257914	+	0.966168i	$0.416965\pi$
$740$	6.43896	−	7.43095i	0.236701	−	0.273167i
$741$	−11.9683	−	7.69153i	−0.439665	−	0.282555i
$742$	−2.72272	−	3.14219i	−0.0999542	−	0.115353i
$743$	−2.53444	−	17.6274i	−0.0929797	−	0.646688i	−0.982008	−	0.188837i	$-0.939528\pi$
$743$	−2.53444	−	17.6274i	−0.0929797	−	0.646688i	0.889029	−	0.457851i	$-0.151381\pi$
$744$	8.51646	+	2.50066i	0.312229	+	0.0916786i
$745$	51.7302	−	33.2450i	1.89525	−	1.21800i
$746$	0.0411327	−	0.286084i	0.00150597	−	0.0104743i
$747$	0.816572	−	1.78804i	0.0298768	−	0.0654211i
$748$	−11.6741	+	25.5627i	−0.426847	+	0.934665i
$749$	2.68552	−	18.6782i	0.0981268	−	0.682487i
$750$	−10.7275	+	6.89417i	−0.391714	+	0.251739i
$751$	12.7509	+	3.74400i	0.465286	+	0.136620i	0.505969	−	0.862552i	$-0.331135\pi$
$751$	12.7509	+	3.74400i	0.465286	+	0.136620i	−0.0406826	+	0.999172i	$0.512953\pi$
$752$	0.630860	+	4.38773i	0.0230051	+	0.160004i
$753$	5.01865	+	5.79183i	0.182890	+	0.211066i
$754$	0.0448622	+	0.0288312i	0.00163379	+	0.00104997i
$755$	45.3359	−	52.3204i	1.64994	−	1.90414i
$756$	−0.959493	+	0.281733i	−0.0348964	+	0.0102465i
$757$	−0.675768	−	1.47972i	−0.0245612	−	0.0537815i	0.896954	−	0.442124i	$-0.145775\pi$
$757$	−0.675768	−	1.47972i	−0.0245612	−	0.0537815i	−0.921515	+	0.388343i	$0.873048\pi$
$758$	−0.871552			−0.0316562
$759$	21.9784	+	7.80293i	0.797765	+	0.283228i
$760$	−10.1608			−0.368570
$761$	5.57284	+	12.2028i	0.202015	+	0.442352i	0.983341	−	0.181772i	$-0.0581834\pi$
$761$	5.57284	+	12.2028i	0.202015	+	0.442352i	−0.781325	+	0.624124i	$0.785456\pi$
$762$	20.6304	−	6.05763i	0.747360	−	0.219445i
$763$	−3.49708	+	4.03584i	−0.126603	+	0.146107i
$764$	5.84633	+	3.75721i	0.211513	+	0.135931i
$765$	13.8908	+	16.0309i	0.502224	+	0.579597i
$766$	−1.01054	−	7.02848i	−0.0365124	−	0.253949i
$767$	13.5396	+	3.97558i	0.488887	+	0.143550i
$768$	−0.841254	+	0.540641i	−0.0303561	+	0.0195087i
$769$	−6.55233	+	45.5725i	−0.236283	+	1.64339i	0.433735	+	0.901041i	$0.357195\pi$
$769$	−6.55233	+	45.5725i	−0.236283	+	1.64339i	−0.670018	+	0.742345i	$0.733714\pi$
$770$	−7.41549	+	16.2377i	−0.267236	+	0.585164i
$771$	−1.41118	+	3.09006i	−0.0508225	+	0.111286i
$772$	−1.13167	+	7.87096i	−0.0407298	+	0.283282i
$773$	−24.2930	+	15.6122i	−0.873759	+	0.561531i	−0.898900	−	0.438153i	$-0.855633\pi$
$773$	−24.2930	+	15.6122i	−0.873759	+	0.561531i	0.0251415	+	0.999684i	$0.491996\pi$
$774$	−8.75015	−	2.56927i	−0.314517	−	0.0923507i
$775$	−10.7042	−	74.4493i	−0.384506	−	2.67430i
$776$	−10.7751	−	12.4351i	−0.386803	−	0.446395i
$777$	−2.25344	−	1.44820i	−0.0808417	−	0.0519538i
$778$	20.9501	−	24.1777i	0.751098	−	0.866813i
$779$	−15.5481	+	4.56535i	−0.557070	+	0.163571i
$780$	7.83708	+	17.1608i	0.280613	+	0.614456i
$781$	−72.8172			−2.60560
$782$	−22.4465	−	16.2544i	−0.802685	−	0.581258i
$783$	0.0103760			0.000370808
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	−30.5042	+	8.95684i	−1.08874	+	0.319683i
$786$	−5.15750	+	5.95207i	−0.183962	+	0.212303i
$787$	−17.1179	−	11.0010i	−0.610188	−	0.392144i	0.198740	−	0.980052i	$-0.436315\pi$
$787$	−17.1179	−	11.0010i	−0.610188	−	0.392144i	−0.808927	+	0.587908i	$0.799952\pi$
$788$	−6.13631	−	7.08167i	−0.218597	−	0.252274i
$789$	−1.81019	−	12.5902i	−0.0644446	−	0.448222i
$790$	−12.5717	−	3.69138i	−0.447281	−	0.131333i
$791$	3.87826	−	2.49240i	0.137895	−	0.0886197i
$792$	−0.692086	+	4.81356i	−0.0245922	+	0.171043i
$793$	−11.4861	+	25.1510i	−0.407882	+	0.893137i
$794$	−15.1475	+	33.1683i	−0.537563	+	1.17710i
$795$	−2.17196	+	15.1063i	−0.0770315	+	0.535766i
$796$	−21.9046	+	14.0772i	−0.776389	+	0.498955i
$797$	10.3985	+	3.05329i	0.368335	+	0.108153i	0.460662	−	0.887576i	$-0.347612\pi$
$797$	10.3985	+	3.05329i	0.368335	+	0.108153i	−0.0923264	+	0.995729i	$0.529430\pi$
$798$	0.393939	+	2.73991i	0.0139453	+	0.0969917i
$799$	−16.7750	−	19.3594i	−0.593458	−	0.684887i
$800$	7.12875	+	4.58137i	0.252039	+	0.161976i
$801$	4.44254	−	5.12697i	0.156969	−	0.181152i
$802$	23.7214	−	6.96522i	0.837631	−	0.245951i
$803$	19.3402	+	42.3492i	0.682502	+	1.49447i
$804$	−12.7031			−0.448003
$805$	−14.2582	−	10.3250i	−0.502536	−	0.363907i
$806$	−45.6186			−1.60685
$807$	−5.76888	−	12.6321i	−0.203074	−	0.444670i
$808$	−0.693310	+	0.203574i	−0.0243906	+	0.00716171i
$809$	22.5726	−	26.0501i	0.793609	−	0.915874i	−0.204404	−	0.978887i	$-0.565525\pi$
$809$	22.5726	−	26.0501i	0.793609	−	0.915874i	0.998013	+	0.0630129i	$0.0200709\pi$
$810$	3.08798	+	1.98452i	0.108501	+	0.0697291i
$811$	−22.0631	−	25.4621i	−0.774739	−	0.894097i	0.221978	−	0.975052i	$-0.428749\pi$
$811$	−22.0631	−	25.4621i	−0.774739	−	0.894097i	−0.996718	+	0.0809546i	$0.974203\pi$
$812$	−0.00147666	−	0.0102704i	−5.18205e−5	−	0.000360419i
$813$	12.8959	+	3.78658i	0.452279	+	0.132801i
$814$	−10.9586	+	7.04267i	−0.384099	+	0.246846i
$815$	−8.92019	+	62.0413i	−0.312460	+	2.17321i
$816$	2.40057	−	5.25651i	0.0840366	−	0.184014i
$817$	−10.4866	+	22.9625i	−0.366880	+	0.803355i
$818$	−4.42279	+	30.7612i	−0.154639	+	1.07554i
$819$	4.32366	−	2.77865i	0.151081	−	0.0970938i
$820$	20.6180	+	6.05400i	0.720013	+	0.211415i
$821$	4.22854	+	29.4101i	0.147577	+	1.02642i	0.920170	+	0.391519i	$0.128050\pi$
$821$	4.22854	+	29.4101i	0.147577	+	1.02642i	−0.772593	+	0.634902i	$0.781041\pi$
$822$	5.08396	+	5.86720i	0.177324	+	0.204642i
$823$	−31.5843	−	20.2980i	−1.10096	−	0.707544i	−0.141655	−	0.989916i	$-0.545242\pi$
$823$	−31.5843	−	20.2980i	−1.10096	−	0.707544i	−0.959305	+	0.282372i	$0.908879\pi$
$824$	−8.14218	+	9.39658i	−0.283646	+	0.327345i
$825$	39.5401	−	11.6100i	1.37661	−	0.404209i
$826$	−1.14057	−	2.49750i	−0.0396855	−	0.0868991i
$827$	11.2378			0.390777			0.195388	−	0.980726i	$-0.437403\pi$
$827$	11.2378			0.390777			0.195388	+	0.980726i	$0.437403\pi$
$828$	−4.51946	−	1.60453i	−0.157062	−	0.0557613i
$829$	−8.93176			−0.310213			−0.155106	−	0.987898i	$-0.549572\pi$
$829$	−8.93176			−0.310213			−0.155106	+	0.987898i	$0.549572\pi$
$830$	2.99738	+	6.56335i	0.104041	+	0.227817i
$831$	27.2629	−	8.00510i	0.945738	−	0.277694i
$832$	3.36569	−	3.88421i	0.116684	−	0.134661i
$833$	−4.86137	−	3.12421i	−0.168436	−	0.108247i
$834$	−4.76068	−	5.49411i	−0.164849	−	0.190246i
$835$	−1.33145	−	9.26040i	−0.0460766	−	0.320469i
$836$	12.9161	+	3.79251i	0.446712	+	0.131167i
$837$	−7.46697	+	4.79873i	−0.258096	+	0.165868i
$838$	5.04755	−	35.1065i	0.174365	−	1.21273i
$839$	−21.4652	+	47.0023i	−0.741061	+	1.62270i	0.0407395	+	0.999170i	$0.487029\pi$
$839$	−21.4652	+	47.0023i	−0.741061	+	1.62270i	−0.781801	+	0.623528i	$0.785699\pi$
$840$	1.52486	−	3.33898i	0.0526127	−	0.115206i
$841$	4.12711	−	28.7047i	0.142314	−	0.989818i
$842$	32.1809	−	20.6814i	1.10903	−	0.712728i
$843$	14.5299	+	4.26635i	0.500435	+	0.146941i
$844$	−3.57584	−	24.8705i	−0.123086	−	0.856079i
$845$	−32.2467	−	37.2146i	−1.10932	−	1.28022i
$846$	−3.72915	−	2.39658i	−0.128211	−	0.0823961i
$847$	8.28358	−	9.55976i	0.284627	−	0.328477i
$848$	3.98929	−	1.17136i	0.136993	−	0.0402247i
$849$	−0.143705	−	0.314669i	−0.00493193	−	0.0107994i
$850$	−48.9686			−1.67961
$851$	−4.67961	−	11.9638i	−0.160415	−	0.410113i
$852$	14.9735			0.512985
$853$	−8.07991	−	17.6925i	−0.276651	−	0.605781i	0.719397	−	0.694599i	$-0.244418\pi$
$853$	−8.07991	−	17.6925i	−0.276651	−	0.605781i	−0.996048	+	0.0888182i	$0.971691\pi$
$854$	5.16186	−	1.51566i	0.176635	−	0.0518648i
$855$	6.65390	−	7.67900i	0.227558	−	0.262616i
$856$	15.8747	+	10.2020i	0.542586	+	0.348699i
$857$	27.9954	+	32.3084i	0.956303	+	1.10363i	0.994539	+	0.104364i	$0.0332807\pi$
$857$	27.9954	+	32.3084i	0.956303	+	1.10363i	−0.0382358	+	0.999269i	$0.512174\pi$
$858$	−3.55701	−	24.7395i	−0.121434	−	0.844593i
$859$	−24.1285	−	7.08478i	−0.823255	−	0.241729i	−0.157138	−	0.987577i	$-0.550227\pi$
$859$	−24.1285	−	7.08478i	−0.823255	−	0.241729i	−0.666117	+	0.745847i	$0.732045\pi$
$860$	28.1610	−	18.0980i	0.960282	−	0.617136i
$861$	0.833120	−	5.79448i	0.0283927	−	0.197475i
$862$	−6.81417	+	14.9209i	−0.232091	+	0.508209i
$863$	3.23698	−	7.08800i	0.110188	−	0.241278i	−0.846503	−	0.532385i	$-0.821296\pi$
$863$	3.23698	−	7.08800i	0.110188	−	0.241278i	0.956691	+	0.291106i	$0.0940233\pi$
$864$	0.142315	−	0.989821i	0.00484165	−	0.0336744i
$865$	14.1166	−	9.07220i	0.479980	−	0.308464i
$866$	11.1853	+	3.28430i	0.380092	+	0.111605i
$867$	2.33305	+	16.2267i	0.0792344	+	0.551088i
$868$	5.81254	+	6.70803i	0.197291	+	0.227686i
$869$	14.6030	+	9.38475i	0.495372	+	0.318356i
$870$	−0.0249417	+	0.0287843i	−0.000845603	+	0.000975878i
$871$	62.6434	−	18.3938i	2.12259	−	0.623249i
$872$	−2.21839	−	4.85760i	−0.0751242	−	0.164499i
$873$	16.4540			0.556884
$874$	−6.17666	+	11.7508i	−0.208929	+	0.397477i
$875$	−12.7518			−0.431091
$876$	−3.97696	−	8.70834i	−0.134369	−	0.294227i
$877$	−45.1379	+	13.2537i	−1.52420	+	0.447545i	−0.933269	−	0.359179i	$-0.883057\pi$
$877$	−45.1379	+	13.2537i	−1.52420	+	0.447545i	−0.590929	+	0.806724i	$0.701239\pi$
$878$	10.0707	−	11.6222i	0.339868	−	0.392229i
$879$	−0.378979	−	0.243555i	−0.0127826	−	0.00821491i
$880$	−11.6898	−	13.4907i	−0.394063	−	0.454772i
$881$	−4.14625	−	28.8378i	−0.139691	−	0.971570i	−0.932260	−	0.361788i	$-0.882166\pi$
$881$	−4.14625	−	28.8378i	−0.139691	−	0.971570i	0.792570	−	0.609781i	$-0.208743\pi$
$882$	−0.959493	−	0.281733i	−0.0323078	−	0.00948643i
$883$	−11.4870	+	7.38224i	−0.386568	+	0.248432i	−0.719462	−	0.694532i	$-0.755611\pi$
$883$	−11.4870	+	7.38224i	−0.386568	+	0.248432i	0.332893	+	0.942964i	$0.391975\pi$
$884$	−4.22675	+	29.3977i	−0.142161	+	0.988751i
$885$	−4.18667	+	9.16754i	−0.140734	+	0.308163i
$886$	−13.4867	+	29.5317i	−0.453094	+	0.992138i
$887$	0.0627943	−	0.436744i	0.00210843	−	0.0146644i	−0.988740	−	0.149643i	$-0.952188\pi$
$887$	0.0627943	−	0.436744i	0.00210843	−	0.0146644i	0.990848	+	0.134979i	$0.0430966\pi$
$888$	2.25344	−	1.44820i	0.0756205	−	0.0485983i
$889$	20.6304	+	6.05763i	0.691921	+	0.203166i
$890$	3.54389	+	24.6483i	0.118791	+	0.826213i
$891$	−3.18463	−	3.67526i	−0.106689	−	0.123126i
$892$	−1.99445	−	1.28175i	−0.0667790	−	0.0429162i
$893$	−8.03547	+	9.27342i	−0.268897	+	0.310323i
$894$	16.0735	−	4.71962i	0.537580	−	0.157848i
$895$	−4.67484	−	10.2365i	−0.156263	−	0.342168i
$896$	−1.00000			−0.0334077
$897$	24.6104	+	1.36844i	0.821717	+	0.0456909i
$898$	−39.1972			−1.30803
$899$	−0.0382586	−	0.0837746i	−0.00127600	−	0.00279404i
$900$	−8.13071	+	2.38739i	−0.271024	+	0.0795797i
$901$	−15.7338	+	18.1578i	−0.524170	+	0.604924i
$902$	−23.9494	−	15.3913i	−0.797427	−	0.512475i
$903$	−5.97204	−	6.89210i	−0.198737	−	0.229355i
$904$	0.656085	+	4.56317i	0.0218210	+	0.151769i
$905$	−43.8280	−	12.8690i	−1.45689	−	0.427782i
$906$	15.8662	−	10.1966i	0.527119	−	0.338759i
$907$	1.84586	−	12.8382i	0.0612908	−	0.426287i	−0.935955	−	0.352119i	$-0.885461\pi$
$907$	1.84586	−	12.8382i	0.0612908	−	0.426287i	0.997246	−	0.0741672i	$-0.0236298\pi$
$908$	−0.351102	+	0.768806i	−0.0116517	+	0.0255137i
$909$	0.300170	−	0.657281i	0.00995602	−	0.0218006i
$910$	−2.68487	+	18.6736i	−0.0890024	+	0.619025i
$911$	−11.2923	+	7.25712i	−0.374131	+	0.240439i	−0.714170	−	0.699972i	$-0.753196\pi$
$911$	−11.2923	+	7.25712i	−0.374131	+	0.240439i	0.340040	+	0.940411i	$0.389559\pi$
$912$	−2.65596	−	0.779860i	−0.0879475	−	0.0258237i
$913$	−1.36042	−	9.46191i	−0.0450232	−	0.313143i
$914$	9.32855	+	10.7657i	0.308561	+	0.356099i
$915$	−16.6126	−	10.6763i	−0.549197	−	0.352948i
$916$	6.16736	−	7.11751i	0.203775	−	0.235169i
$917$	−7.55669	+	2.21885i	−0.249544	+	0.0732727i
$918$	2.40057	+	5.25651i	0.0792305	+	0.173491i
$919$	−15.5982			−0.514538			−0.257269	−	0.966340i	$-0.582823\pi$
$919$	−15.5982			−0.514538			−0.257269	+	0.966340i	$0.582823\pi$
$920$	15.3150	−	8.68057i	0.504920	−	0.286190i
$921$	−26.5712			−0.875549
$922$	15.4641	+	33.8617i	0.509284	+	1.11518i
$923$	−73.8398	+	21.6813i	−2.43047	+	0.713650i
$924$	−3.18463	+	3.67526i	−0.104767	+	0.120907i
$925$	−19.0956	−	12.2720i	−0.627858	−	0.403500i
$926$	−13.2200	−	15.2567i	−0.434436	−	0.501366i
$927$	−1.76946	−	12.3069i	−0.0581169	−	0.404212i
$928$	0.00995569	+	0.00292325i	0.000326811	+	9.59605e-5i
$929$	−4.08835	+	2.62742i	−0.134134	+	0.0862029i	−0.605987	−	0.795474i	$-0.707222\pi$
$929$	−4.08835	+	2.62742i	−0.134134	+	0.0862029i	0.471853	+	0.881677i	$0.343585\pi$
$930$	4.63677	−	32.2494i	0.152046	−	1.05750i
$931$	−1.14990	+	2.51794i	−0.0376866	+	0.0825221i
$932$	2.27431	−	4.98004i	0.0744975	−	0.163127i
$933$	0.139742	−	0.971925i	0.00457494	−	0.0318194i
$934$	−17.0518	+	10.9585i	−0.557952	+	0.358574i
$935$	98.9762	+	29.0620i	3.23687	+	0.950430i
$936$	0.731434	+	5.08723i	0.0239077	+	0.166281i
$937$	2.72418	+	3.14388i	0.0889952	+	0.102706i	0.798500	−	0.601994i	$-0.205627\pi$
$937$	2.72418	+	3.14388i	0.0889952	+	0.102706i	−0.709505	+	0.704700i	$0.751082\pi$
$938$	−10.6865	−	6.86780i	−0.348927	−	0.224242i
$939$	−14.3932	+	16.6106i	−0.469704	+	0.542067i
$940$	15.6125	−	4.58424i	0.509223	−	0.149522i
$941$	−3.38641	−	7.41521i	−0.110394	−	0.241729i	0.846370	−	0.532596i	$-0.178784\pi$
$941$	−3.38641	−	7.41521i	−0.110394	−	0.241729i	−0.956763	+	0.290867i	$0.906056\pi$
$942$	−8.66104			−0.282192
$943$	19.5349	−	20.1643i	0.636144	−	0.656640i
$944$	2.74561			0.0893621
$945$	1.52486	+	3.33898i	0.0496037	+	0.108617i
$946$	−42.5525	+	12.4945i	−1.38350	+	0.406233i
$947$	−12.5407	+	14.4727i	−0.407518	+	0.470300i	−0.921994	−	0.387204i	$-0.873441\pi$
$947$	−12.5407	+	14.4727i	−0.407518	+	0.470300i	0.514476	+	0.857505i	$0.327986\pi$
$948$	−3.00283	−	1.92980i	−0.0975275	−	0.0626771i
$949$	32.2213	+	37.1854i	1.04595	+	1.20709i
$950$	3.33823	+	23.2179i	0.108306	+	0.753288i
$951$	14.6881	+	4.31281i	0.476294	+	0.139853i
$952$	4.86137	−	3.12421i	0.157558	−	0.101256i
$953$	4.90057	−	34.0842i	0.158745	−	1.10410i	−0.742205	−	0.670173i	$-0.766220\pi$
$953$	4.90057	−	34.0842i	0.158745	−	1.10410i	0.900950	−	0.433923i	$-0.142871\pi$
$954$	−1.72717	+	3.78198i	−0.0559193	+	0.122446i
$955$	10.5971	−	23.2044i	0.342913	−	0.750876i
$956$	−0.866706	+	6.02807i	−0.0280313	+	0.194962i
$957$	0.0424489	−	0.0272802i	0.00137218	−	0.000881845i
$958$	−26.1837	−	7.68823i	−0.845957	−	0.248395i
$959$	1.10485	+	7.68440i	0.0356775	+	0.248142i
$960$	2.40379	+	2.77412i	0.0775820	+	0.0895344i
$961$	40.1980	+	25.8337i	1.29671	+	0.833344i
$962$	−9.01556	+	10.4045i	−0.290673	+	0.335455i
$963$	−18.1059	+	5.31637i	−0.583455	+	0.171318i
$964$	−8.08154	−	17.6961i	−0.260289	−	0.569953i
$965$	29.1889			0.939625
$966$	−2.93453	−	3.79322i	−0.0944171	−	0.122045i
$967$	49.0284			1.57665			0.788323	−	0.615262i	$-0.210950\pi$
$967$	49.0284			1.57665			0.788323	+	0.615262i	$0.210950\pi$
$968$	5.25474	+	11.5063i	0.168894	+	0.369826i
$969$	15.3480	−	4.50659i	0.493050	−	0.144772i
$970$	−39.5520	+	45.6455i	−1.26994	+	1.46559i
$971$	8.71424	+	5.60030i	0.279653	+	0.179722i	0.672947	−	0.739691i	$-0.265028\pi$
$971$	8.71424	+	5.60030i	0.279653	+	0.179722i	−0.393294	+	0.919413i	$0.628665\pi$
$972$	0.654861	+	0.755750i	0.0210047	+	0.0242407i
$973$	−1.03459	−	7.19576i	−0.0331676	−	0.230685i
$974$	5.24345	+	1.53962i	0.168011	+	0.0493325i
$975$	36.6385	−	23.5462i	1.17337	−	0.754081i
$976$	−0.765622	+	5.32502i	−0.0245070	+	0.170450i
$977$	−0.0717314	+	0.157070i	−0.00229489	+	0.00502511i	−0.910776	−	0.412901i	$-0.864516\pi$
$977$	−0.0717314	+	0.157070i	−0.00229489	+	0.00502511i	0.908481	+	0.417926i	$0.137243\pi$
$978$	−7.09346	+	15.5325i	−0.226824	+	0.496675i
$979$	4.69507	−	32.6550i	0.150055	−	1.04366i
$980$	3.08798	−	1.98452i	0.0986419	−	0.0633933i
$981$	5.12387	+	1.50450i	0.163592	+	0.0480351i
$982$	2.81560	+	19.5829i	0.0898494	+	0.624917i
$983$	−40.6332	−	46.8932i	−1.29600	−	1.49566i	−0.757120	−	0.653276i	$-0.773394\pi$
$983$	−40.6332	−	46.8932i	−1.29600	−	1.49566i	−0.538877	−	0.842385i	$-0.681151\pi$
$984$	4.92475	+	3.16495i	0.156995	+	0.100895i
$985$	−22.5245	+	25.9946i	−0.717689	+	0.828258i
$986$	−0.0575311	+	0.0168927i	−0.00183216	+	0.000537972i
$987$	−1.84147	−	4.03226i	−0.0586147	−	0.128348i
$988$	14.2267			0.452611
$989$	−3.81123	−	43.5695i	−0.121190	−	1.38543i
$990$	17.8508			0.567335
$991$	−1.29208	−	2.82927i	−0.0410444	−	0.0898747i	0.887999	−	0.459845i	$-0.152095\pi$
$991$	−1.29208	−	2.82927i	−0.0410444	−	0.0898747i	−0.929044	+	0.369970i	$0.879368\pi$
$992$	−8.51646	+	2.50066i	−0.270398	+	0.0793960i
$993$	8.12434	−	9.37599i	0.257818	−	0.297538i
$994$	12.5965	+	8.09530i	0.399538	+	0.256767i
$995$	62.5901	+	72.2328i	1.98424	+	2.28993i
$996$	0.279745	+	1.94567i	0.00886406	+	0.0616509i
$997$	−42.1254	−	12.3691i	−1.33413	−	0.391735i	−0.464555	−	0.885544i	$-0.653786\pi$
$997$	−42.1254	−	12.3691i	−1.33413	−	0.391735i	−0.869570	+	0.493810i	$0.835604\pi$
$998$	0.0210144	−	0.0135051i	0.000665198	−	0.000427497i
$999$	−0.381214	+	2.65140i	−0.0120611	+	0.0838867i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.j.211.4	✓	40
23.6	even	11	inner	966.2.q.j.673.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.j.211.4	✓	40	1.1	even	1	trivial
966.2.q.j.673.4	yes	40	23.6	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)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.08798 + 1.98452i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.08798 + 1.98452i) q^{5} +(0.654861 + 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.522394 + 3.63333i) q^{10} +(2.02019 - 4.42360i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(0.731434 - 5.08723i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(3.52200 + 1.03415i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(3.78425 + 4.36726i) q^{17} +(0.841254 + 0.540641i) q^{18} +(1.81271 - 2.09198i) q^{19} +(-3.52200 + 1.03415i) q^{20} +(0.415415 + 0.909632i) q^{21} +4.86306 q^{22} +(-0.945013 + 4.70180i) q^{23} -1.00000 q^{24} +(3.52021 + 7.70819i) q^{25} +(4.93136 - 1.44798i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(0.00679483 + 0.00784165i) q^{29} +(0.522394 + 3.63333i) q^{30} +(-8.51646 - 2.50066i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.692086 - 4.81356i) q^{33} +(-2.40057 + 5.25651i) q^{34} +(-1.52486 + 3.33898i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-2.25344 + 1.44820i) q^{37} +(2.65596 + 0.779860i) q^{38} +(-0.731434 - 5.08723i) q^{39} +(-2.40379 - 2.77412i) q^{40} +(-4.92475 - 3.16495i) q^{41} +(-0.654861 + 0.755750i) q^{42} +(-8.75015 + 2.56927i) q^{43} +(2.02019 + 4.42360i) q^{44} +3.67069 q^{45} +(-4.66948 + 1.09359i) q^{46} -4.43285 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-5.54927 + 6.40419i) q^{50} +(4.86137 + 3.12421i) q^{51} +(3.36569 + 3.88421i) q^{52} +(0.591703 + 4.11539i) q^{53} +(0.959493 + 0.281733i) q^{54} +(15.0170 - 9.65087i) q^{55} +(0.142315 - 0.989821i) q^{56} +(1.14990 - 2.51794i) q^{57} +(-0.00431034 + 0.00943833i) q^{58} +(-0.390741 + 2.71767i) q^{59} +(-3.08798 + 1.98452i) q^{60} +(-5.16186 - 1.51566i) q^{61} +(-1.26319 - 8.78566i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(12.3544 - 14.2577i) q^{65} +(4.66607 - 1.37008i) q^{66} +(5.27705 + 11.5551i) q^{67} -5.77872 q^{68} +(0.417918 + 4.77759i) q^{69} -3.67069 q^{70} +(-6.22023 - 13.6204i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(-6.26929 + 7.23515i) q^{73} +(-2.25344 - 1.44820i) q^{74} +(5.54927 + 6.40419i) q^{75} +(0.393939 + 2.73991i) q^{76} +(4.66607 + 1.37008i) q^{77} +(4.32366 - 2.77865i) q^{78} +(-0.507989 + 3.53314i) q^{79} +(1.52486 - 3.33898i) q^{80} +(0.415415 - 0.909632i) q^{81} +(0.833120 - 5.79448i) q^{82} +(1.65363 - 1.06273i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(3.01876 + 20.9960i) q^{85} +(-5.97204 - 6.89210i) q^{86} +(0.00872884 + 0.00560968i) q^{87} +(-3.18463 + 3.67526i) q^{88} +(6.50915 - 1.91126i) q^{89} +(1.52486 + 3.33898i) q^{90} +5.13954 q^{91} +(-2.93453 - 3.79322i) q^{92} -8.87600 q^{93} +(-1.84147 - 4.03226i) q^{94} +(9.74920 - 2.86262i) q^{95} +(0.654861 - 0.755750i) q^{96} +(13.8420 + 8.89572i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.692086 - 4.81356i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 + 4 * q^3 - 4 * q^4 - 4 * q^5 + 4 * q^6 + 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 + 4 * q^3 - 4 * q^4 - 4 * q^5 + 4 * q^6 + 4 * q^7 - 4 * q^8 - 4 * q^9 - 4 * q^10 - 11 * q^11 + 4 * q^12 - 20 * q^13 + 4 * q^14 - 7 * q^15 - 4 * q^16 + 5 * q^17 - 4 * q^18 + 44 * q^19 + 7 * q^20 - 4 * q^21 + 22 * q^22 - 6 * q^23 - 40 * q^24 + 2 * q^25 + 24 * q^26 + 4 * q^27 + 4 * q^28 + 35 * q^29 + 4 * q^30 - 2 * q^31 - 4 * q^32 - 11 * q^33 + 5 * q^34 - 7 * q^35 - 4 * q^36 + 20 * q^37 - 11 * q^38 + 20 * q^39 - 4 * q^40 + 11 * q^41 - 4 * q^42 - 42 * q^43 - 11 * q^44 - 4 * q^45 - 6 * q^46 + 40 * q^47 + 4 * q^48 - 4 * q^49 - 53 * q^50 + 17 * q^51 - 9 * q^52 - 32 * q^53 + 4 * q^54 + 29 * q^55 + 4 * q^56 - 11 * q^57 - 31 * q^58 - 25 * q^59 + 4 * q^60 - 30 * q^61 - 24 * q^62 + 4 * q^63 - 4 * q^64 + 80 * q^65 - 88 * q^67 - 28 * q^68 + 6 * q^69 + 4 * q^70 - 45 * q^71 - 4 * q^72 - 39 * q^73 + 20 * q^74 + 53 * q^75 - 22 * q^76 - 2 * q^78 + 26 * q^79 + 7 * q^80 - 4 * q^81 + 22 * q^83 - 4 * q^84 + 77 * q^85 - 31 * q^86 + 9 * q^87 - 11 * q^88 + 20 * q^89 + 7 * q^90 - 24 * q^91 - 17 * q^92 - 42 * q^93 - 26 * q^94 + 84 * q^95 + 4 * q^96 + 74 * q^97 - 4 * q^98 + 11 * q^99

Introduction

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