LMFDB - Embedded newform 966.2.q.f.85.1

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			85.1
Character	$\chi$	$=$	966.85
Dual form			966.2.q.f.841.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.654861 - 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.82570 - 3.99772i) q^{5} +(0.142315 - 0.989821i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(0.654861 - 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.82570 - 3.99772i) 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} +(-4.21685 - 1.23818i) q^{10} +(-2.95729 - 3.41290i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(2.75402 + 0.808652i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-3.69720 - 2.37605i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.125198 - 0.870774i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(1.11030 + 7.72233i) q^{19} +(-3.69720 + 2.37605i) q^{20} +(0.654861 - 0.755750i) q^{21} -4.51591 q^{22} +(4.69079 - 0.998253i) q^{23} -1.00000 q^{24} +(-9.37428 + 10.8185i) q^{25} +(2.41464 - 1.55179i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(-0.415415 - 0.909632i) q^{28} +(-0.940598 + 6.54200i) q^{29} +(-4.21685 + 1.23818i) q^{30} +(-2.82407 - 1.81492i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(-4.33299 - 1.27228i) q^{33} +(-0.576099 - 0.664854i) q^{34} +(-2.87803 - 3.32142i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(4.61219 - 10.0993i) q^{37} +(6.56325 + 4.21794i) q^{38} +(2.75402 - 0.808652i) q^{39} +(-0.625456 + 4.35014i) q^{40} +(-3.81427 - 8.35210i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(0.0152747 - 0.00981648i) q^{43} +(-2.95729 + 3.41290i) q^{44} -4.39487 q^{45} +(2.31738 - 4.19878i) q^{46} -5.03780 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(2.03723 + 14.1692i) q^{50} +(-0.365452 - 0.800229i) q^{51} +(0.408484 - 2.84107i) q^{52} +(9.95826 - 2.92401i) q^{53} +(-0.841254 - 0.540641i) q^{54} +(-8.24469 + 18.0534i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(5.10906 + 5.89617i) q^{57} +(4.32815 + 4.99496i) q^{58} +(-1.44990 - 0.425730i) q^{59} +(-1.82570 + 3.99772i) q^{60} +(2.65606 + 1.70695i) q^{61} +(-3.22100 + 0.945771i) q^{62} +(0.142315 - 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-1.79524 - 12.4861i) q^{65} +(-3.79903 + 2.44149i) q^{66} +(8.96406 - 10.3451i) q^{67} -0.879728 q^{68} +(3.40645 - 3.37582i) q^{69} -4.39487 q^{70} +(-4.98089 + 5.74826i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-0.577462 - 4.01633i) q^{73} +(-4.61219 - 10.0993i) q^{74} +(-2.03723 + 14.1692i) q^{75} +(7.48572 - 2.19801i) q^{76} +(-3.79903 - 2.44149i) q^{77} +(1.19236 - 2.61090i) q^{78} +(0.978572 + 0.287335i) q^{79} +(2.87803 + 3.32142i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.80991 - 2.58682i) q^{82} +(-3.12289 + 6.83818i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(-3.70968 + 1.08926i) q^{85} +(0.00258403 - 0.0179723i) q^{86} +(2.74559 + 6.01201i) q^{87} +(0.642681 + 4.46995i) q^{88} +(4.93791 - 3.17340i) q^{89} +(-2.87803 + 3.32142i) q^{90} +2.87028 q^{91} +(-1.65566 - 4.50098i) q^{92} -3.35698 q^{93} +(-3.29906 + 3.80731i) q^{94} +(28.8446 - 18.5373i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-0.942575 - 2.06395i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-4.33299 + 1.27228i) 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	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 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 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * 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
$5$	−1.82570	−	3.99772i	−0.816477	−	1.78783i	−0.576591	−	0.817033i	$-0.695617\pi$
$5$	−1.82570	−	3.99772i	−0.816477	−	1.78783i	−0.239886	−	0.970801i	$-0.577110\pi$
$6$	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
$10$	−4.21685	−	1.23818i	−1.33349	−	0.391547i
$11$	−2.95729	−	3.41290i	−0.891658	−	1.02903i	−0.999393	−	0.0348483i	$-0.988905\pi$
$11$	−2.95729	−	3.41290i	−0.891658	−	1.02903i	0.107735	−	0.994180i	$-0.465640\pi$
$12$	−0.654861	−	0.755750i	−0.189042	−	0.218166i
$13$	2.75402	+	0.808652i	0.763827	+	0.224280i	0.640366	−	0.768070i	$-0.278783\pi$
$13$	2.75402	+	0.808652i	0.763827	+	0.224280i	0.123461	+	0.992349i	$0.460601\pi$
$14$	0.415415	−	0.909632i	0.111024	−	0.243109i
$15$	−3.69720	−	2.37605i	−0.954614	−	0.613493i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	0.125198	−	0.870774i	0.0303651	−	0.211194i	−0.968990	−	0.247099i	$-0.920523\pi$
$17$	0.125198	−	0.870774i	0.0303651	−	0.211194i	0.999355	+	0.0359059i	$0.0114316\pi$
$18$	−0.415415	−	0.909632i	−0.0979143	−	0.214402i
$19$	1.11030	+	7.72233i	0.254721	+	1.77163i	0.569042	+	0.822308i	$0.307314\pi$
$19$	1.11030	+	7.72233i	0.254721	+	1.77163i	−0.314321	+	0.949317i	$0.601777\pi$
$20$	−3.69720	+	2.37605i	−0.826720	+	0.531301i
$21$	0.654861	−	0.755750i	0.142902	−	0.164918i
$22$	−4.51591			−0.962796
$23$	4.69079	−	0.998253i	0.978097	−	0.208150i
$23$	4.69079	−	0.998253i	0.978097	−	0.208150i
$24$	−1.00000			−0.204124
$25$	−9.37428	+	10.8185i	−1.87486	+	2.16370i
$26$	2.41464	−	1.55179i	0.473549	−	0.304332i
$27$	−0.142315	−	0.989821i	−0.0273885	−	0.190491i
$28$	−0.415415	−	0.909632i	−0.0785061	−	0.171904i
$29$	−0.940598	+	6.54200i	−0.174665	+	1.21482i	0.694205	+	0.719778i	$0.255756\pi$
$29$	−0.940598	+	6.54200i	−0.174665	+	1.21482i	−0.868869	+	0.495042i	$0.835153\pi$
$30$	−4.21685	+	1.23818i	−0.769888	+	0.226060i
$31$	−2.82407	−	1.81492i	−0.507218	−	0.325969i	0.261879	−	0.965101i	$-0.415658\pi$
$31$	−2.82407	−	1.81492i	−0.507218	−	0.325969i	−0.769098	+	0.639131i	$0.779294\pi$
$32$	−0.415415	+	0.909632i	−0.0734357	+	0.160802i
$33$	−4.33299	−	1.27228i	−0.754276	−	0.221475i
$34$	−0.576099	−	0.664854i	−0.0988002	−	0.114022i
$35$	−2.87803	−	3.32142i	−0.486476	−	0.561423i
$36$	−0.959493	−	0.281733i	−0.159915	−	0.0469554i
$37$	4.61219	−	10.0993i	0.758240	−	1.66031i	0.00727329	−	0.999974i	$-0.497685\pi$
$37$	4.61219	−	10.0993i	0.758240	−	1.66031i	0.750967	−	0.660340i	$-0.229588\pi$
$38$	6.56325	+	4.21794i	1.06470	+	0.684241i
$39$	2.75402	−	0.808652i	0.440996	−	0.129488i
$40$	−0.625456	+	4.35014i	−0.0988933	+	0.687818i
$41$	−3.81427	−	8.35210i	−0.595690	−	1.30438i	−0.931942	−	0.362607i	$-0.881887\pi$
$41$	−3.81427	−	8.35210i	−0.595690	−	1.30438i	0.336253	−	0.941772i	$-0.390840\pi$
$42$	−0.142315	−	0.989821i	−0.0219597	−	0.152733i
$43$	0.0152747	−	0.00981648i	0.00232938	−	0.00149700i	−0.539476	−	0.842001i	$-0.681377\pi$
$43$	0.0152747	−	0.00981648i	0.00232938	−	0.00149700i	0.541805	+	0.840504i	$0.317741\pi$
$44$	−2.95729	+	3.41290i	−0.445829	+	0.514514i
$45$	−4.39487			−0.655149
$46$	2.31738	−	4.19878i	0.341680	−	0.619076i
$47$	−5.03780			−0.734838			−0.367419	−	0.930055i	$-0.619759\pi$
$47$	−5.03780			−0.734838			−0.367419	+	0.930055i	$0.619759\pi$
$48$	−0.654861	+	0.755750i	−0.0945210	+	0.109083i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	2.03723	+	14.1692i	0.288107	+	2.00383i
$51$	−0.365452	−	0.800229i	−0.0511735	−	0.112054i
$52$	0.408484	−	2.84107i	0.0566465	−	0.393985i
$53$	9.95826	−	2.92401i	1.36787	−	0.401643i	0.486341	−	0.873769i	$-0.338331\pi$
$53$	9.95826	−	2.92401i	1.36787	−	0.401643i	0.881531	+	0.472126i	$0.156513\pi$
$54$	−0.841254	−	0.540641i	−0.114480	−	0.0735719i
$55$	−8.24469	+	18.0534i	−1.11171	+	2.43431i
$56$	−0.959493	−	0.281733i	−0.128218	−	0.0376481i
$57$	5.10906	+	5.89617i	0.676711	+	0.780966i
$58$	4.32815	+	4.99496i	0.568315	+	0.655870i
$59$	−1.44990	−	0.425730i	−0.188761	−	0.0554253i	0.185986	−	0.982552i	$-0.440452\pi$
$59$	−1.44990	−	0.425730i	−0.188761	−	0.0554253i	−0.374747	+	0.927127i	$0.622270\pi$
$60$	−1.82570	+	3.99772i	−0.235696	+	0.516103i
$61$	2.65606	+	1.70695i	0.340074	+	0.218552i	0.699519	−	0.714614i	$-0.253398\pi$
$61$	2.65606	+	1.70695i	0.340074	+	0.218552i	−0.359445	+	0.933166i	$0.617034\pi$
$62$	−3.22100	+	0.945771i	−0.409067	+	0.120113i
$63$	0.142315	−	0.989821i	0.0179300	−	0.124706i
$64$	0.415415	+	0.909632i	0.0519269	+	0.113704i
$65$	−1.79524	−	12.4861i	−0.222672	−	1.54872i
$66$	−3.79903	+	2.44149i	−0.467628	+	0.300526i
$67$	8.96406	−	10.3451i	1.09513	−	1.26385i	0.133047	−	0.991110i	$-0.457524\pi$
$67$	8.96406	−	10.3451i	1.09513	−	1.26385i	0.962087	−	0.272742i	$-0.0879306\pi$
$68$	−0.879728			−0.106683
$69$	3.40645	−	3.37582i	0.410088	−	0.406400i
$70$	−4.39487			−0.525288
$71$	−4.98089	+	5.74826i	−0.591123	+	0.682193i	−0.969958	−	0.243272i	$-0.921779\pi$
$71$	−4.98089	+	5.74826i	−0.591123	+	0.682193i	0.378835	+	0.925464i	$0.376325\pi$
$72$	−0.841254	+	0.540641i	−0.0991427	+	0.0637151i
$73$	−0.577462	−	4.01633i	−0.0675868	−	0.470076i	−0.995304	−	0.0967938i	$-0.969141\pi$
$73$	−0.577462	−	4.01633i	−0.0675868	−	0.470076i	0.927718	−	0.373283i	$-0.121768\pi$
$74$	−4.61219	−	10.0993i	−0.536157	−	1.17402i
$75$	−2.03723	+	14.1692i	−0.235239	+	1.63612i
$76$	7.48572	−	2.19801i	0.858671	−	0.252129i
$77$	−3.79903	−	2.44149i	−0.432939	−	0.278233i
$78$	1.19236	−	2.61090i	0.135008	−	0.295626i
$79$	0.978572	+	0.287335i	0.110098	+	0.0323277i	0.336317	−	0.941749i	$-0.390818\pi$
$79$	0.978572	+	0.287335i	0.110098	+	0.0323277i	−0.226220	+	0.974076i	$0.572637\pi$
$80$	2.87803	+	3.32142i	0.321774	+	0.371347i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−8.80991	−	2.58682i	−0.972892	−	0.285667i
$83$	−3.12289	+	6.83818i	−0.342782	+	0.750588i	−0.999995	−	0.00311712i	$-0.999008\pi$
$83$	−3.12289	+	6.83818i	−0.342782	+	0.750588i	0.657213	+	0.753705i	$0.271735\pi$
$84$	−0.841254	−	0.540641i	−0.0917883	−	0.0589887i
$85$	−3.70968	+	1.08926i	−0.402372	+	0.118147i
$86$	0.00258403	−	0.0179723i	0.000278643	−	0.00193800i
$87$	2.74559	+	6.01201i	0.294358	+	0.644555i
$88$	0.642681	+	4.46995i	0.0685101	+	0.476498i
$89$	4.93791	−	3.17340i	0.523418	−	0.336380i	−0.252105	−	0.967700i	$-0.581123\pi$
$89$	4.93791	−	3.17340i	0.523418	−	0.336380i	0.775523	+	0.631320i	$0.217486\pi$
$90$	−2.87803	+	3.32142i	−0.303371	+	0.350109i
$91$	2.87028			0.300888
$92$	−1.65566	−	4.50098i	−0.172615	−	0.469259i
$93$	−3.35698			−0.348103
$94$	−3.29906	+	3.80731i	−0.340272	+	0.392694i
$95$	28.8446	−	18.5373i	2.95940	−	1.90189i
$96$	0.142315	+	0.989821i	0.0145249	+	0.101023i
$97$	−0.942575	−	2.06395i	−0.0957040	−	0.209563i	0.855725	−	0.517431i	$-0.173112\pi$
$97$	−0.942575	−	2.06395i	−0.0957040	−	0.209563i	−0.951429	+	0.307868i	$0.900384\pi$
$98$	0.142315	−	0.989821i	0.0143760	−	0.0999871i
$99$	−4.33299	+	1.27228i	−0.435482	+	0.127869i
$100$	12.0425	+	7.73923i	1.20425	+	0.773923i
$101$	−0.0433159	+	0.0948486i	−0.00431009	+	0.00943779i	−0.911775	−	0.410691i	$-0.865288\pi$
$101$	−0.0433159	+	0.0948486i	−0.00431009	+	0.00943779i	0.907465	+	0.420128i	$0.138015\pi$
$102$	−0.844093	−	0.247848i	−0.0835776	−	0.0245406i
$103$	−3.04788	−	3.51744i	−0.300316	−	0.346583i	0.585455	−	0.810705i	$-0.300916\pi$
$103$	−3.04788	−	3.51744i	−0.300316	−	0.346583i	−0.885772	+	0.464121i	$0.846370\pi$
$104$	−1.87964	−	2.16922i	−0.184313	−	0.212709i
$105$	−4.21685	−	1.23818i	−0.411523	−	0.120834i
$106$	4.31145	−	9.44077i	0.418765	−	0.916968i
$107$	−3.61257	−	2.32166i	−0.349241	−	0.224443i	0.354245	−	0.935153i	$-0.384738\pi$
$107$	−3.61257	−	2.32166i	−0.349241	−	0.224443i	−0.703486	+	0.710709i	$0.748374\pi$
$108$	−0.959493	+	0.281733i	−0.0923273	+	0.0271097i
$109$	0.753968	−	5.24397i	0.0722171	−	0.502281i	−0.921323	−	0.388798i	$-0.872890\pi$
$109$	0.753968	−	5.24397i	0.0722171	−	0.502281i	0.993540	−	0.113483i	$-0.0362006\pi$
$110$	8.24469	+	18.0534i	0.786100	+	1.72132i
$111$	−1.58007	−	10.9896i	−0.149973	−	1.04309i
$112$	−0.841254	+	0.540641i	−0.0794910	+	0.0510858i
$113$	1.16781	−	1.34772i	0.109858	−	0.126783i	−0.698157	−	0.715945i	$-0.745996\pi$
$113$	1.16781	−	1.34772i	0.109858	−	0.126783i	0.808015	+	0.589161i	$0.200542\pi$
$114$	7.80175			0.730700
$115$	−12.5547	−	16.9299i	−1.17073	−	1.57873i
$116$	6.60927			0.613656
$117$	1.87964	−	2.16922i	0.173772	−	0.200544i
$118$	−1.27123	+	0.816970i	−0.117026	+	0.0752082i
$119$	−0.125198	−	0.870774i	−0.0114769	−	0.0798237i
$120$	1.82570	+	3.99772i	0.166663	+	0.364940i
$121$	−1.33683	+	9.29786i	−0.121530	+	0.845260i
$122$	3.02938	−	0.889505i	0.274267	−	0.0805320i
$123$	−7.72426	−	4.96408i	−0.696473	−	0.447596i
$124$	−1.39454	+	3.05362i	−0.125233	+	0.274223i
$125$	39.2797	+	11.5335i	3.51328	+	1.03159i
$126$	−0.654861	−	0.755750i	−0.0583396	−	0.0673275i
$127$	−2.60664	−	3.00823i	−0.231302	−	0.266937i	0.628220	−	0.778036i	$-0.283784\pi$
$127$	−2.60664	−	3.00823i	−0.231302	−	0.266937i	−0.859522	+	0.511099i	$0.829239\pi$
$128$	0.959493	+	0.281733i	0.0848080	+	0.0249019i
$129$	0.00754274	−	0.0165163i	0.000664101	−	0.00145418i
$130$	−10.6120	−	6.81993i	−0.930736	−	0.598148i
$131$	−11.4849	+	3.37226i	−1.00344	+	0.294636i	−0.741865	−	0.670549i	$-0.766059\pi$
$131$	−11.4849	+	3.37226i	−1.00344	+	0.294636i	−0.261571	+	0.965184i	$0.584241\pi$
$132$	−0.642681	+	4.46995i	−0.0559382	+	0.389059i
$133$	3.24096	+	7.09672i	0.281027	+	0.615363i
$134$	−1.94808	−	13.5492i	−0.168288	−	1.17047i
$135$	−3.69720	+	2.37605i	−0.318205	+	0.204498i
$136$	−0.576099	+	0.664854i	−0.0494001	+	0.0570108i
$137$	5.93790			0.507309			0.253655	−	0.967295i	$-0.418367\pi$
$137$	5.93790			0.507309			0.253655	+	0.967295i	$0.418367\pi$
$138$	−0.320524	−	4.78511i	−0.0272848	−	0.407335i
$139$	7.33444			0.622099			0.311049	−	0.950394i	$-0.399320\pi$
$139$	7.33444			0.622099			0.311049	+	0.950394i	$0.399320\pi$
$140$	−2.87803	+	3.32142i	−0.243238	+	0.280712i
$141$	−4.23806	+	2.72364i	−0.356909	+	0.229372i
$142$	1.08245	+	7.52862i	0.0908373	+	0.631788i
$143$	−5.38459	−	11.7906i	−0.450282	−	0.985980i
$144$	−0.142315	+	0.989821i	−0.0118596	+	0.0824851i
$145$	27.8703	−	8.18347i	2.31450	−	0.679600i
$146$	−3.41350	−	2.19372i	−0.282503	−	0.181554i
$147$	0.415415	−	0.909632i	0.0342629	−	0.0750252i
$148$	−10.6529	−	3.12797i	−0.875661	−	0.257117i
$149$	3.86703	+	4.46279i	0.316799	+	0.365606i	0.891708	−	0.452612i	$-0.149508\pi$
$149$	3.86703	+	4.46279i	0.316799	+	0.365606i	−0.574908	+	0.818218i	$0.694962\pi$
$150$	9.37428	+	10.8185i	0.765407	+	0.883327i
$151$	15.3365	+	4.50320i	1.24807	+	0.366465i	0.838040	−	0.545609i	$-0.183702\pi$
$151$	15.3365	+	4.50320i	1.24807	+	0.366465i	0.410025	+	0.912074i	$0.365520\pi$
$152$	3.24096	−	7.09672i	0.262877	−	0.575620i
$153$	−0.740074	−	0.475617i	−0.0598315	−	0.0384513i
$154$	−4.33299	+	1.27228i	−0.349162	+	0.102523i
$155$	−2.09964	+	14.6033i	−0.168647	+	1.17297i
$156$	−1.19236	−	2.61090i	−0.0954651	−	0.209039i
$157$	0.608454	+	4.23189i	0.0485599	+	0.337742i	0.999590	+	0.0286425i	$0.00911845\pi$
$157$	0.608454	+	4.23189i	0.0485599	+	0.337742i	−0.951030	+	0.309099i	$0.899972\pi$
$158$	0.857982	−	0.551391i	0.0682574	−	0.0438663i
$159$	6.79658	−	7.84367i	0.539004	−	0.622044i
$160$	4.39487			0.347445
$161$	4.21954	−	2.27936i	0.332546	−	0.179639i
$162$	−1.00000			−0.0785674
$163$	13.1990	−	15.2324i	1.03382	−	1.19310i	0.0529199	−	0.998599i	$-0.483147\pi$
$163$	13.1990	−	15.2324i	1.03382	−	1.19310i	0.980903	−	0.194497i	$-0.0623074\pi$
$164$	−7.72426	+	4.96408i	−0.603163	+	0.387629i
$165$	2.82450	+	19.6449i	0.219887	+	1.52935i
$166$	3.12289	+	6.83818i	0.242383	+	0.530746i
$167$	−2.19497	+	15.2664i	−0.169852	+	1.18135i	0.709335	+	0.704872i	$0.248995\pi$
$167$	−2.19497	+	15.2664i	−0.169852	+	1.18135i	−0.879187	+	0.476477i	$0.841914\pi$
$168$	−0.959493	+	0.281733i	−0.0740265	+	0.0217361i
$169$	−4.00560	−	2.57425i	−0.308123	−	0.198019i
$170$	−1.60612	+	3.51690i	−0.123184	+	0.269734i
$171$	7.48572	+	2.19801i	0.572447	+	0.168086i
$172$	−0.0118904	−	0.0137222i	−0.000906633	−	0.00104631i
$173$	−16.6292	−	19.1911i	−1.26429	−	1.45907i	−0.829466	−	0.558557i	$-0.811355\pi$
$173$	−16.6292	−	19.1911i	−1.26429	−	1.45907i	−0.434827	−	0.900514i	$-0.643190\pi$
$174$	6.34155	+	1.86205i	0.480752	+	0.141161i
$175$	−5.94664	+	13.0213i	−0.449523	+	0.984319i
$176$	3.79903	+	2.44149i	0.286363	+	0.184034i
$177$	−1.44990	+	0.425730i	−0.108981	+	0.0319998i
$178$	0.835347	−	5.80996i	0.0626119	−	0.435475i
$179$	8.52176	+	18.6601i	0.636946	+	1.39472i	0.902529	+	0.430630i	$0.141709\pi$
$179$	8.52176	+	18.6601i	0.636946	+	1.39472i	−0.265582	+	0.964088i	$0.585564\pi$
$180$	0.625456	+	4.35014i	0.0466187	+	0.324240i
$181$	−21.3659	+	13.7310i	−1.58811	+	1.02062i	−0.615517	+	0.788124i	$0.711053\pi$
$181$	−21.3659	+	13.7310i	−1.58811	+	1.02062i	−0.972597	+	0.232495i	$0.925311\pi$
$182$	1.87964	−	2.16922i	0.139328	−	0.160793i
$183$	3.15727			0.233392
$184$	−4.48584	−	1.69625i	−0.330700	−	0.125049i
$185$	−48.7946			−3.58745
$186$	−2.19836	+	2.53704i	−0.161191	+	0.186025i
$187$	−3.34211	+	2.14784i	−0.244399	+	0.157066i
$188$	0.716953	+	4.98652i	0.0522892	+	0.363679i
$189$	−0.415415	−	0.909632i	−0.0302170	−	0.0661660i
$190$	4.87965	−	33.9387i	0.354007	−	2.46217i
$191$	9.48448	−	2.78490i	0.686273	−	0.201508i	0.0800361	−	0.996792i	$-0.474496\pi$
$191$	9.48448	−	2.78490i	0.686273	−	0.201508i	0.606237	+	0.795284i	$0.292678\pi$
$192$	0.841254	+	0.540641i	0.0607122	+	0.0390174i
$193$	0.322485	−	0.706143i	0.0232130	−	0.0508293i	−0.897670	−	0.440668i	$-0.854742\pi$
$193$	0.322485	−	0.706143i	0.0232130	−	0.0508293i	0.920883	+	0.389838i	$0.127469\pi$
$194$	−2.17709	−	0.639250i	−0.156306	−	0.0458955i
$195$	−8.26077	−	9.53343i	−0.591566	−	0.682703i
$196$	−0.654861	−	0.755750i	−0.0467758	−	0.0539821i
$197$	24.2264	+	7.11352i	1.72606	+	0.506817i	0.986146	−	0.165882i	$-0.0530471\pi$
$197$	24.2264	+	7.11352i	1.72606	+	0.506817i	0.739916	+	0.672699i	$0.234865\pi$
$198$	−1.87598	+	4.10782i	−0.133320	+	0.291930i
$199$	−8.24031	−	5.29572i	−0.584140	−	0.375404i	0.214941	−	0.976627i	$-0.431044\pi$
$199$	−8.24031	−	5.29572i	−0.584140	−	0.375404i	−0.799081	+	0.601223i	$0.794680\pi$
$200$	13.7351	−	4.03298i	0.971216	−	0.285175i
$201$	1.94808	−	13.5492i	0.137407	−	0.955684i
$202$	0.0433159	+	0.0948486i	0.00304770	+	0.00667352i
$203$	0.940598	+	6.54200i	0.0660170	+	0.459158i
$204$	−0.740074	+	0.475617i	−0.0518156	+	0.0332998i
$205$	−26.4256	+	30.4968i	−1.84565	+	2.12999i
$206$	−4.65424			−0.324276
$207$	1.04058	−	4.68158i	0.0723254	−	0.325392i
$208$	−2.87028			−0.199018
$209$	23.0721	−	26.6266i	1.59593	−	1.84180i
$210$	−3.69720	+	2.37605i	−0.255131	+	0.163963i
$211$	2.67275	+	18.5894i	0.184000	+	1.27975i	0.847187	+	0.531295i	$0.178294\pi$
$211$	2.67275	+	18.5894i	0.184000	+	1.27975i	−0.663187	+	0.748454i	$0.730797\pi$
$212$	−4.31145	−	9.44077i	−0.296112	−	0.648394i
$213$	−1.08245	+	7.52862i	−0.0741684	+	0.515852i
$214$	−4.12033	+	1.20984i	−0.281660	+	0.0827028i
$215$	−0.0671306	−	0.0431422i	−0.00457827	−	0.00294227i
$216$	−0.415415	+	0.909632i	−0.0282654	+	0.0618926i
$217$	−3.22100	−	0.945771i	−0.218656	−	0.0642031i
$218$	−3.46938	−	4.00388i	−0.234976	−	0.271177i
$219$	−2.65719	−	3.06656i	−0.179556	−	0.207219i
$220$	19.0429	+	5.59151i	1.28387	+	0.376980i
$221$	1.04895	−	2.29688i	0.0705601	−	0.154505i
$222$	−9.34011	−	6.00253i	−0.626867	−	0.402863i
$223$	1.07504	−	0.315659i	0.0719897	−	0.0211381i	−0.245539	−	0.969387i	$-0.578965\pi$
$223$	1.07504	−	0.315659i	0.0719897	−	0.0211381i	0.317529	+	0.948249i	$0.397147\pi$
$224$	−0.142315	+	0.989821i	−0.00950881	+	0.0661352i
$225$	5.94664	+	13.0213i	0.396442	+	0.868088i
$226$	−0.253789	−	1.76514i	−0.0168818	−	0.117416i
$227$	19.7372	−	12.6843i	1.31000	−	0.841888i	0.315740	−	0.948846i	$-0.397747\pi$
$227$	19.7372	−	12.6843i	1.31000	−	0.841888i	0.994264	+	0.106958i	$0.0341109\pi$
$228$	5.10906	−	5.89617i	0.338356	−	0.390483i
$229$	−12.5215			−0.827445			−0.413722	−	0.910403i	$-0.635772\pi$
$229$	−12.5215			−0.827445			−0.413722	+	0.910403i	$0.635772\pi$
$230$	−21.0164	−	1.59855i	−1.38578	−	0.105405i
$231$	−4.51591			−0.297125
$232$	4.32815	−	4.99496i	0.284157	−	0.327935i
$233$	15.4076	−	9.90184i	1.00938	−	0.648691i	0.0721498	−	0.997394i	$-0.477014\pi$
$233$	15.4076	−	9.90184i	1.00938	−	0.648691i	0.937233	+	0.348703i	$0.113378\pi$
$234$	−0.408484	−	2.84107i	−0.0267034	−	0.185726i
$235$	9.19749	+	20.1397i	0.599978	+	1.31377i
$236$	−0.215054	+	1.49573i	−0.0139988	+	0.0973639i
$237$	0.978572	−	0.287335i	0.0635651	−	0.0186644i
$238$	−0.740074	−	0.475617i	−0.0479719	−	0.0308297i
$239$	−4.65355	+	10.1899i	−0.301013	+	0.659127i	−0.998338	−	0.0576281i	$-0.981646\pi$
$239$	−4.65355	+	10.1899i	−0.301013	+	0.659127i	0.697325	+	0.716755i	$0.254373\pi$
$240$	4.21685	+	1.23818i	0.272197	+	0.0799241i
$241$	9.64284	+	11.1284i	0.621150	+	0.716845i	0.975925	−	0.218107i	$-0.0699880\pi$
$241$	9.64284	+	11.1284i	0.621150	+	0.716845i	−0.354775	+	0.934952i	$0.615443\pi$
$242$	6.15142	+	7.09911i	0.395428	+	0.456348i
$243$	−0.959493	−	0.281733i	−0.0615515	−	0.0180732i
$244$	1.31158	−	2.87195i	0.0839651	−	0.183858i
$245$	−3.69720	−	2.37605i	−0.236206	−	0.151800i
$246$	−8.80991	+	2.58682i	−0.561699	+	0.164930i
$247$	−3.18689	+	22.1653i	−0.202777	+	1.41034i
$248$	1.39454	+	3.05362i	0.0885534	+	0.193905i
$249$	1.06985	+	7.44100i	0.0677993	+	0.471554i
$250$	34.4392	−	22.1327i	2.17813	−	1.39980i
$251$	3.35665	−	3.87378i	0.211870	−	0.244511i	−0.639861	−	0.768491i	$-0.721008\pi$
$251$	3.35665	−	3.87378i	0.211870	−	0.244511i	0.851730	+	0.523980i	$0.175553\pi$
$252$	−1.00000			−0.0629941
$253$	−17.2790	−	13.0571i	−1.08632	−	0.820890i
$254$	−3.98046			−0.249756
$255$	−2.53188	+	2.92195i	−0.158553	+	0.182980i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−2.70790	−	18.8339i	−0.168914	−	1.17482i	−0.881133	−	0.472868i	$-0.843219\pi$
$257$	−2.70790	−	18.8339i	−0.168914	−	1.17482i	0.712219	−	0.701957i	$-0.247690\pi$
$258$	−0.00754274	−	0.0165163i	−0.000469590	−	0.00102826i
$259$	1.58007	−	10.9896i	0.0981806	−	0.682861i
$260$	−12.1036	+	3.55393i	−0.750631	+	0.220405i
$261$	5.56008	+	3.57324i	0.344160	+	0.221178i
$262$	−4.97240	+	10.8880i	−0.307196	+	0.672665i
$263$	9.01973	+	2.64843i	0.556180	+	0.163309i	0.547730	−	0.836655i	$-0.315492\pi$
$263$	9.01973	+	2.64843i	0.556180	+	0.163309i	0.00845008	+	0.999964i	$0.497310\pi$
$264$	2.95729	+	3.41290i	0.182009	+	0.210049i
$265$	−29.8701	−	34.4720i	−1.83491	−	2.11760i
$266$	7.48572	+	2.19801i	0.458979	+	0.134768i
$267$	2.43837	−	5.33927i	0.149226	−	0.326758i
$268$	−11.5155	−	7.40056i	−0.703421	−	0.452061i
$269$	6.63247	−	1.94747i	0.404389	−	0.118739i	−0.0732116	−	0.997316i	$-0.523325\pi$
$269$	6.63247	−	1.94747i	0.404389	−	0.118739i	0.477600	+	0.878577i	$0.341507\pi$
$270$	−0.625456	+	4.35014i	−0.0380640	+	0.264741i
$271$	1.16409	+	2.54900i	0.0707134	+	0.154841i	0.941688	−	0.336487i	$-0.109239\pi$
$271$	1.16409	+	2.54900i	0.0707134	+	0.154841i	−0.870975	+	0.491328i	$0.836512\pi$
$272$	0.125198	+	0.870774i	0.00759126	+	0.0527984i
$273$	2.41464	−	1.55179i	0.146140	−	0.0939188i
$274$	3.88850	−	4.48757i	0.234913	−	0.271104i
$275$	64.6450			3.89824
$276$	−3.82624	−	2.89134i	−0.230313	−	0.174038i
$277$	−7.30452			−0.438886			−0.219443	−	0.975625i	$-0.570424\pi$
$277$	−7.30452			−0.438886			−0.219443	+	0.975625i	$0.570424\pi$
$278$	4.80304	−	5.54300i	0.288067	−	0.332447i
$279$	−2.82407	+	1.81492i	−0.169073	+	0.108656i
$280$	0.625456	+	4.35014i	0.0373781	+	0.259971i
$281$	−2.84395	−	6.22739i	−0.169656	−	0.371495i	0.805637	−	0.592409i	$-0.201823\pi$
$281$	−2.84395	−	6.22739i	−0.169656	−	0.371495i	−0.975293	+	0.220914i	$0.929096\pi$
$282$	−0.716953	+	4.98652i	−0.0426939	+	0.296943i
$283$	10.3936	−	3.05183i	0.617833	−	0.181412i	0.0421853	−	0.999110i	$-0.486568\pi$
$283$	10.3936	−	3.05183i	0.617833	−	0.181412i	0.575648	+	0.817698i	$0.304750\pi$
$284$	6.39860	+	4.11213i	0.379687	+	0.244010i
$285$	14.2436	−	31.1892i	0.843719	−	1.84749i
$286$	−12.4369	−	3.65180i	−0.735410	−	0.215936i
$287$	−6.01283	−	6.93917i	−0.354926	−	0.409606i
$288$	0.654861	+	0.755750i	0.0385880	+	0.0445330i
$289$	15.5688	+	4.57141i	0.915812	+	0.268907i
$290$	12.0665	−	26.4220i	0.708571	−	1.55155i
$291$	−1.90880	−	1.22671i	−0.111896	−	0.0719111i
$292$	−3.89327	+	1.14317i	−0.227837	+	0.0668988i
$293$	−2.32536	+	16.1732i	−0.135849	+	0.944851i	0.801880	+	0.597485i	$0.203833\pi$
$293$	−2.32536	+	16.1732i	−0.135849	+	0.944851i	−0.937729	+	0.347367i	$0.887076\pi$
$294$	−0.415415	−	0.909632i	−0.0242275	−	0.0530508i
$295$	0.945135	+	6.57356i	0.0550279	+	0.382728i
$296$	−9.34011	+	6.00253i	−0.542883	+	0.348890i
$297$	−2.95729	+	3.41290i	−0.171600	+	0.198037i
$298$	5.90512			0.342074
$299$	13.7258	+	1.04401i	0.793781	+	0.0603767i
$300$	14.3149			0.826473
$301$	0.0118904	−	0.0137222i	0.000685350	−	0.000790936i
$302$	13.4465	−	8.64157i	0.773762	−	0.497267i
$303$	0.0148394	+	0.103210i	0.000852499	+	0.00592926i
$304$	−3.24096	−	7.09672i	−0.185882	−	0.407025i
$305$	1.97473	−	13.7346i	0.113073	−	0.786439i
$306$	−0.844093	+	0.247848i	−0.0482536	+	0.0141685i
$307$	25.3367	+	16.2829i	1.44604	+	0.929313i	0.999401	+	0.0345982i	$0.0110151\pi$
$307$	25.3367	+	16.2829i	1.44604	+	0.929313i	0.446638	+	0.894715i	$0.352621\pi$
$308$	−1.87598	+	4.10782i	−0.106894	+	0.234065i
$309$	−4.46571	−	1.31125i	−0.254045	−	0.0745944i
$310$	9.66150	+	11.1500i	0.548736	+	0.633275i
$311$	14.5116	+	16.7473i	0.822877	+	0.949651i	0.999400	−	0.0346459i	$-0.0110303\pi$
$311$	14.5116	+	16.7473i	0.822877	+	0.949651i	−0.176523	+	0.984297i	$0.556485\pi$
$312$	−2.75402	−	0.808652i	−0.155916	−	0.0457809i
$313$	9.17474	−	20.0899i	0.518587	−	1.13555i	−0.451385	−	0.892329i	$-0.649070\pi$
$313$	9.17474	−	20.0899i	0.518587	−	1.13555i	0.969972	−	0.243218i	$-0.0782029\pi$
$314$	3.59670	+	2.31146i	0.202974	+	0.130443i
$315$	−4.21685	+	1.23818i	−0.237593	+	0.0697635i
$316$	0.145145	−	1.00950i	0.00816503	−	0.0567890i
$317$	−4.64144	−	10.1633i	−0.260689	−	0.570830i	0.733350	−	0.679851i	$-0.237956\pi$
$317$	−4.64144	−	10.1633i	−0.260689	−	0.570830i	−0.994039	+	0.109021i	$0.965228\pi$
$318$	−1.47704	−	10.2730i	−0.0828282	−	0.576083i
$319$	25.1088	−	16.1365i	1.40582	−	0.903468i
$320$	2.87803	−	3.32142i	0.160887	−	0.185673i
$321$	−4.29427			−0.239683
$322$	1.04058	−	4.68158i	0.0579893	−	0.260894i
$323$	6.86341			0.381891
$324$	−0.654861	+	0.755750i	−0.0363812	+	0.0419861i
$325$	−34.5653	+	22.2138i	−1.91734	+	1.23220i
$326$	−2.86841	−	19.9502i	−0.158867	−	1.10494i
$327$	−2.20082	−	4.81913i	−0.121706	−	0.266499i
$328$	−1.30671	+	9.08838i	−0.0721511	+	0.501822i
$329$	−4.83373	+	1.41931i	−0.266492	+	0.0782492i
$330$	16.6963	+	10.7300i	0.919099	+	0.590669i
$331$	7.44218	−	16.2961i	0.409059	−	0.895715i	−0.587212	−	0.809433i	$-0.699774\pi$
$331$	7.44218	−	16.2961i	0.409059	−	0.895715i	0.996271	−	0.0862812i	$-0.0274984\pi$
$332$	7.21301	+	2.11793i	0.395865	+	0.116237i
$333$	−7.27067	−	8.39080i	−0.398430	−	0.459813i
$334$	10.1002	+	11.6562i	0.552656	+	0.637799i
$335$	−57.7224	−	16.9488i	−3.15371	−	0.926013i
$336$	−0.415415	+	0.909632i	−0.0226627	+	0.0496245i
$337$	−15.0501	−	9.67210i	−0.819830	−	0.526873i	0.0622014	−	0.998064i	$-0.480188\pi$
$337$	−15.0501	−	9.67210i	−0.819830	−	0.526873i	−0.882031	+	0.471191i	$0.843824\pi$
$338$	−4.56860	+	1.34146i	−0.248499	+	0.0729659i
$339$	0.253789	−	1.76514i	0.0137839	−	0.0958694i
$340$	1.60612	+	3.51690i	0.0871039	+	0.190731i
$341$	2.15747	+	15.0055i	0.116834	+	0.812595i
$342$	6.56325	−	4.21794i	0.354900	−	0.228080i
$343$	0.654861	−	0.755750i	0.0353592	−	0.0408066i
$344$	−0.0181571			−0.000978966
$345$	−19.7147	−	7.45480i	−1.06140	−	0.401353i
$346$	−25.3934			−1.36516
$347$	−15.7388	+	18.1635i	−0.844902	+	0.975069i	−0.999918	−	0.0128432i	$-0.995912\pi$
$347$	−15.7388	+	18.1635i	−0.844902	+	0.975069i	0.155016	+	0.987912i	$0.450457\pi$
$348$	5.56008	−	3.57324i	0.298051	−	0.191546i
$349$	1.84677	+	12.8445i	0.0988551	+	0.687552i	0.977633	+	0.210320i	$0.0674507\pi$
$349$	1.84677	+	12.8445i	0.0988551	+	0.687552i	−0.878777	+	0.477232i	$0.841640\pi$
$350$	5.94664	+	13.0213i	0.317861	+	0.696019i
$351$	0.408484	−	2.84107i	0.0218033	−	0.151645i
$352$	4.33299	−	1.27228i	0.230949	−	0.0678127i
$353$	−20.5619	−	13.2144i	−1.09440	−	0.703329i	−0.136562	−	0.990632i	$-0.543605\pi$
$353$	−20.5619	−	13.2144i	−1.09440	−	0.703329i	−0.957840	+	0.287303i	$0.907241\pi$
$354$	−0.627740	+	1.37456i	−0.0333640	+	0.0730569i
$355$	32.0735	+	9.41764i	1.70229	+	0.499836i
$356$	−3.84384	−	4.43603i	−0.203723	−	0.235109i
$357$	−0.576099	−	0.664854i	−0.0304904	−	0.0351878i
$358$	19.6829	+	5.77942i	1.04027	+	0.305452i
$359$	0.244664	−	0.535740i	0.0129129	−	0.0282753i	−0.903066	−	0.429502i	$-0.858689\pi$
$359$	0.244664	−	0.535740i	0.0129129	−	0.0282753i	0.915979	+	0.401227i	$0.131416\pi$
$360$	3.69720	+	2.37605i	0.194860	+	0.125229i
$361$	−40.1713	+	11.7954i	−2.11428	+	0.620809i
$362$	−3.61447	+	25.1392i	−0.189972	+	1.32129i
$363$	3.90219	+	8.54460i	0.204812	+	0.448475i
$364$	−0.408484	−	2.84107i	−0.0214104	−	0.148912i
$365$	−15.0019	+	9.64114i	−0.785236	+	0.504640i
$366$	2.06757	−	2.38610i	0.108074	−	0.124724i
$367$	−18.3737			−0.959102			−0.479551	−	0.877514i	$-0.659200\pi$
$367$	−18.3737			−0.959102			−0.479551	+	0.877514i	$0.659200\pi$
$368$	−4.21954	+	2.27936i	−0.219959	+	0.118820i
$369$	−9.18184			−0.477988
$370$	−31.9537	+	36.8765i	−1.66119	+	1.91712i
$371$	8.73109	−	5.61113i	0.453296	−	0.291315i
$372$	0.477748	+	3.32281i	0.0247701	+	0.172280i
$373$	7.03353	+	15.4013i	0.364182	+	0.797448i	0.999679	+	0.0253440i	$0.00806812\pi$
$373$	7.03353	+	15.4013i	0.364182	+	0.797448i	−0.635497	+	0.772104i	$0.719205\pi$
$374$	−0.565385	+	3.93234i	−0.0292354	+	0.203336i
$375$	39.2797	−	11.5335i	2.02839	−	0.595590i
$376$	4.23806	+	2.72364i	0.218561	+	0.140461i
$377$	−7.88063	+	17.2562i	−0.405873	+	0.888738i
$378$	−0.959493	−	0.281733i	−0.0493510	−	0.0144908i
$379$	−2.95727	−	3.41287i	−0.151905	−	0.175307i	0.674697	−	0.738095i	$-0.264274\pi$
$379$	−2.95727	−	3.41287i	−0.151905	−	0.175307i	−0.826602	+	0.562788i	$0.809729\pi$
$380$	−22.4537	−	25.9129i	−1.15185	−	1.32930i
$381$	−3.81922	−	1.12142i	−0.195664	−	0.0574523i
$382$	4.10633	−	8.99161i	0.210098	−	0.460051i
$383$	7.16543	+	4.60494i	0.366136	+	0.235301i	0.710752	−	0.703442i	$-0.248355\pi$
$383$	7.16543	+	4.60494i	0.366136	+	0.235301i	−0.344616	+	0.938744i	$0.611991\pi$
$384$	0.959493	−	0.281733i	0.0489639	−	0.0143771i
$385$	−2.82450	+	19.6449i	−0.143950	+	1.00119i
$386$	−0.322485	−	0.706143i	−0.0164140	−	0.0359418i
$387$	−0.00258403	−	0.0179723i	−0.000131353	−	0.000913584i
$388$	−1.90880	+	1.22671i	−0.0969047	+	0.0622769i
$389$	−4.51879	+	5.21496i	−0.229112	+	0.264409i	−0.858652	−	0.512559i	$-0.828698\pi$
$389$	−4.51879	+	5.21496i	−0.229112	+	0.264409i	0.629540	+	0.776968i	$0.283243\pi$
$390$	−12.6145			−0.638762
$391$	−0.281974	−	4.20959i	−0.0142600	−	0.212888i
$392$	−1.00000			−0.0505076
$393$	−7.83849	+	9.04611i	−0.395400	+	0.456316i
$394$	21.2410	−	13.6507i	1.07010	−	0.687715i
$395$	−0.637893	−	4.43664i	−0.0320959	−	0.223232i
$396$	1.87598	+	4.10782i	0.0942715	+	0.206426i
$397$	−1.80744	+	12.5710i	−0.0907130	+	0.630923i	0.892850	+	0.450355i	$0.148703\pi$
$397$	−1.80744	+	12.5710i	−0.0907130	+	0.630923i	−0.983563	+	0.180568i	$0.942206\pi$
$398$	−9.39849	+	2.75965i	−0.471104	+	0.138329i
$399$	6.56325	+	4.21794i	0.328573	+	0.211161i
$400$	5.94664	−	13.0213i	0.297332	−	0.651066i
$401$	−6.73984	−	1.97900i	−0.336571	−	0.0988263i	0.109080	−	0.994033i	$-0.465210\pi$
$401$	−6.73984	−	1.97900i	−0.336571	−	0.0988263i	−0.445651	+	0.895207i	$0.647028\pi$
$402$	−8.96406	−	10.3451i	−0.447087	−	0.515965i
$403$	−6.30990	−	7.28202i	−0.314319	−	0.362743i
$404$	0.100048	+	0.0293766i	0.00497756	+	0.00146154i
$405$	−1.82570	+	3.99772i	−0.0907196	+	0.198648i
$406$	5.56008	+	3.57324i	0.275942	+	0.177337i
$407$	−48.1075	+	14.1256i	−2.38460	+	0.700182i
$408$	−0.125198	+	0.870774i	−0.00619824	+	0.0431097i
$409$	−6.95624	−	15.2320i	−0.343964	−	0.753176i	0.656035	−	0.754731i	$-0.272232\pi$
$409$	−6.95624	−	15.2320i	−0.343964	−	0.753176i	−0.999999	+	0.00155461i	$0.999505\pi$
$410$	5.74284	+	39.9423i	0.283618	+	1.97261i
$411$	4.99528	−	3.21027i	0.246399	−	0.158351i
$412$	−3.04788	+	3.51744i	−0.150158	+	0.173292i
$413$	−1.51111			−0.0743571
$414$	−2.85667	−	3.85220i	−0.140398	−	0.189325i
$415$	33.0386			1.62180
$416$	−1.87964	+	2.16922i	−0.0921567	+	0.106355i
$417$	6.17012	−	3.96530i	0.302152	−	0.194181i
$418$	−5.01404	−	34.8734i	−0.245245	−	1.70571i
$419$	3.41509	+	7.47800i	0.166838	+	0.365324i	0.974522	−	0.224291i	$-0.0720067\pi$
$419$	3.41509	+	7.47800i	0.166838	+	0.365324i	−0.807684	+	0.589615i	$0.799279\pi$
$420$	−0.625456	+	4.35014i	−0.0305191	+	0.212265i
$421$	−26.9117	+	7.90197i	−1.31159	+	0.385119i	−0.861452	−	0.507839i	$-0.830445\pi$
$421$	−26.9117	+	7.90197i	−1.31159	+	0.385119i	−0.450141	+	0.892957i	$0.648626\pi$
$422$	15.7992	+	10.1535i	0.769094	+	0.494267i
$423$	−2.09278	+	4.58254i	−0.101754	+	0.222811i
$424$	−9.95826	−	2.92401i	−0.483616	−	0.142002i
$425$	8.24682	+	9.51734i	0.400029	+	0.461659i
$426$	4.98089	+	5.74826i	0.241325	+	0.278504i
$427$	3.02938	+	0.889505i	0.146602	+	0.0430462i
$428$	−1.78391	+	3.90621i	−0.0862284	+	0.188814i
$429$	−10.9043	−	7.00776i	−0.526464	−	0.338338i
$430$	−0.0765659	+	0.0224818i	−0.00369233	+	0.00108417i
$431$	3.35645	−	23.3446i	0.161674	−	1.12447i	−0.733803	−	0.679362i	$-0.762256\pi$
$431$	3.35645	−	23.3446i	0.161674	−	1.12447i	0.895477	−	0.445107i	$-0.146834\pi$
$432$	0.415415	+	0.909632i	0.0199867	+	0.0437647i
$433$	2.51243	+	17.4744i	0.120740	+	0.839765i	0.956721	+	0.291006i	$0.0939901\pi$
$433$	2.51243	+	17.4744i	0.120740	+	0.839765i	−0.835981	+	0.548758i	$0.815101\pi$
$434$	−2.82407	+	1.81492i	−0.135560	+	0.0871190i
$435$	19.0217	−	21.9522i	0.912021	−	1.05253i
$436$	−5.29789			−0.253723
$437$	12.9170	+	35.1155i	0.617906	+	1.67980i
$438$	−4.05764			−0.193881
$439$	8.54599	−	9.86260i	0.407878	−	0.470716i	−0.514228	−	0.857653i	$-0.671922\pi$
$439$	8.54599	−	9.86260i	0.407878	−	0.470716i	0.922106	+	0.386937i	$0.126467\pi$
$440$	16.6963	−	10.7300i	0.795963	−	0.511534i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	−1.04895	−	2.29688i	−0.0498935	−	0.109252i
$443$	−4.63696	+	32.2508i	−0.220309	+	1.53228i	0.516563	+	0.856249i	$0.327211\pi$
$443$	−4.63696	+	32.2508i	−0.220309	+	1.53228i	−0.736872	+	0.676032i	$0.763698\pi$
$444$	−10.6529	+	3.12797i	−0.505563	+	0.148447i
$445$	−21.7015	−	13.9467i	−1.02875	−	0.661138i
$446$	0.465439	−	1.01917i	0.0220392	−	0.0482591i
$447$	5.66592	+	1.66366i	0.267989	+	0.0786886i
$448$	0.654861	+	0.755750i	0.0309393	+	0.0357058i
$449$	−25.3862	−	29.2972i	−1.19805	−	1.38262i	−0.904388	−	0.426710i	$-0.859672\pi$
$449$	−25.3862	−	29.2972i	−1.19805	−	1.38262i	−0.293659	−	0.955910i	$-0.594873\pi$
$450$	13.7351	+	4.03298i	0.647477	+	0.190117i
$451$	−17.2249	+	37.7173i	−0.811090	+	1.77604i
$452$	−1.50020	−	0.964122i	−0.0705636	−	0.0453485i
$453$	15.3365	−	4.50320i	0.720571	−	0.211579i
$454$	3.33894	−	23.2228i	0.156704	−	1.08990i
$455$	−5.24027	−	11.4746i	−0.245668	−	0.537937i
$456$	−1.11030	−	7.72233i	−0.0519948	−	0.361631i
$457$	−22.7341	+	14.6103i	−1.06346	+	0.683442i	−0.950679	−	0.310178i	$-0.899611\pi$
$457$	−22.7341	+	14.6103i	−1.06346	+	0.683442i	−0.112779	+	0.993620i	$0.535975\pi$
$458$	−8.19985	+	9.46313i	−0.383154	+	0.442183i
$459$	−0.879728			−0.0410622
$460$	−14.9709	+	14.8363i	−0.698022	+	0.691745i
$461$	3.64067			0.169563			0.0847813	−	0.996400i	$-0.472981\pi$
$461$	3.64067			0.169563			0.0847813	+	0.996400i	$0.472981\pi$
$462$	−2.95729	+	3.41290i	−0.137586	+	0.158782i
$463$	34.4542	−	22.1423i	1.60122	−	1.02904i	0.634596	−	0.772844i	$-0.281166\pi$
$463$	34.4542	−	22.1423i	1.60122	−	1.02904i	0.966624	−	0.256198i	$-0.0824700\pi$
$464$	−0.940598	−	6.54200i	−0.0436662	−	0.303705i
$465$	6.12883	+	13.4203i	0.284218	+	0.622350i
$466$	2.60650	−	18.1286i	0.120744	−	0.839791i
$467$	−18.6587	+	5.47868i	−0.863420	+	0.253523i	−0.683315	−	0.730124i	$-0.739462\pi$
$467$	−18.6587	+	5.47868i	−0.863420	+	0.253523i	−0.180106	+	0.983647i	$0.557644\pi$
$468$	−2.41464	−	1.55179i	−0.111617	−	0.0717316i
$469$	5.68641	−	12.4515i	0.262574	−	0.574957i
$470$	21.2436	+	6.23770i	0.979896	+	0.287723i
$471$	2.79980	+	3.23114i	0.129008	+	0.148883i
$472$	0.989569	+	1.14202i	0.0455486	+	0.0525659i
$473$	−0.0786746	−	0.0231009i	−0.00361746	−	0.00106218i
$474$	0.423675	−	0.927720i	0.0194601	−	0.0426116i
$475$	−93.9524	−	60.3795i	−4.31083	−	2.77040i
$476$	−0.844093	+	0.247848i	−0.0386889	+	0.0113601i
$477$	1.47704	−	10.2730i	0.0676289	−	0.470370i
$478$	4.65355	+	10.1899i	0.212849	+	0.466073i
$479$	1.69050	+	11.7577i	0.0772407	+	0.537221i	0.991298	+	0.131636i	$0.0420230\pi$
$479$	1.69050	+	11.7577i	0.0772407	+	0.537221i	−0.914057	+	0.405585i	$0.867068\pi$
$480$	3.69720	−	2.37605i	0.168754	−	0.108451i
$481$	20.8689	−	24.0840i	0.951539	−	1.09813i
$482$	14.7250			0.670706
$483$	2.31738	−	4.19878i	0.105445	−	0.191051i
$484$	9.39347			0.426976
$485$	−6.53024	+	7.53630i	−0.296523	+	0.342206i
$486$	−0.841254	+	0.540641i	−0.0381600	+	0.0245240i
$487$	2.12587	+	14.7857i	0.0963323	+	0.670006i	0.979573	+	0.201087i	$0.0644473\pi$
$487$	2.12587	+	14.7857i	0.0963323	+	0.670006i	−0.883241	+	0.468919i	$0.844644\pi$
$488$	−1.31158	−	2.87195i	−0.0593723	−	0.130007i
$489$	2.86841	−	19.9502i	0.129714	−	0.902181i
$490$	−4.21685	+	1.23818i	−0.190498	+	0.0559352i
$491$	17.8540	+	11.4741i	0.805741	+	0.517818i	0.877485	−	0.479605i	$-0.159220\pi$
$491$	17.8540	+	11.4741i	0.805741	+	0.517818i	−0.0717434	+	0.997423i	$0.522856\pi$
$492$	−3.81427	+	8.35210i	−0.171961	+	0.376542i
$493$	5.57884	+	1.63810i	0.251258	+	0.0737761i
$494$	14.6644	+	16.9237i	0.659784	+	0.761432i
$495$	12.9969	+	14.9993i	0.584169	+	0.674167i
$496$	3.22100	+	0.945771i	0.144627	+	0.0424664i
$497$	−3.15966	+	6.91869i	−0.141730	+	0.310346i
$498$	6.32414	+	4.06428i	0.283392	+	0.182125i
$499$	4.93707	−	1.44966i	0.221014	−	0.0648955i	−0.169351	−	0.985556i	$-0.554167\pi$
$499$	4.93707	−	1.44966i	0.221014	−	0.0648955i	0.390365	+	0.920660i	$0.372349\pi$
$500$	5.82608	−	40.5212i	0.260550	−	1.81217i
$501$	6.40710	+	14.0296i	0.286248	+	0.626796i
$502$	−0.729470	−	5.07357i	−0.0325578	−	0.226445i
$503$	14.4529	−	9.28832i	0.644423	−	0.414146i	−0.177201	−	0.984175i	$-0.556704\pi$
$503$	14.4529	−	9.28832i	0.644423	−	0.414146i	0.821625	+	0.570029i	$0.193068\pi$
$504$	−0.654861	+	0.755750i	−0.0291698	+	0.0336638i
$505$	0.458260			0.0203923
$506$	−21.1832	+	4.50802i	−0.941708	+	0.200406i
$507$	−4.76147			−0.211464
$508$	−2.60664	+	3.00823i	−0.115651	+	0.133468i
$509$	−27.6308	+	17.7572i	−1.22471	+	0.787075i	−0.983059	−	0.183288i	$-0.941326\pi$
$509$	−27.6308	+	17.7572i	−1.22471	+	0.787075i	−0.241653	+	0.970363i	$0.577689\pi$
$510$	0.550231	+	3.82694i	0.0243646	+	0.169460i
$511$	−1.68560	−	3.69095i	−0.0745667	−	0.163278i
$512$	0.142315	−	0.989821i	0.00628949	−	0.0437443i
$513$	7.48572	−	2.19801i	0.330503	−	0.0970443i
$514$	−16.0070	−	10.2871i	−0.706038	−	0.453743i
$515$	−8.49723	+	18.6063i	−0.374433	+	0.819893i
$516$	−0.0174216	−	0.00511545i	−0.000766944	−	0.000225195i
$517$	14.8982	+	17.1935i	0.655224	+	0.756169i
$518$	−7.27067	−	8.39080i	−0.319455	−	0.368670i
$519$	−24.3648	−	7.15416i	−1.06950	−	0.314033i
$520$	−5.24027	+	11.4746i	−0.229801	+	0.503194i
$521$	−15.4031	−	9.89896i	−0.674822	−	0.433681i	0.157839	−	0.987465i	$-0.449547\pi$
$521$	−15.4031	−	9.89896i	−0.674822	−	0.433681i	−0.832661	+	0.553783i	$0.813184\pi$
$522$	6.34155	−	1.86205i	0.277562	−	0.0814996i
$523$	−2.02190	+	14.0626i	−0.0884115	+	0.614915i	0.896654	+	0.442733i	$0.145991\pi$
$523$	−2.02190	+	14.0626i	−0.0884115	+	0.614915i	−0.985065	+	0.172183i	$0.944918\pi$
$524$	4.97240	+	10.8880i	0.217220	+	0.475646i
$525$	2.03723	+	14.1692i	0.0889118	+	0.618395i
$526$	7.90822	−	5.08230i	0.344815	−	0.221599i
$527$	−1.93395	+	2.23190i	−0.0842444	+	0.0972232i
$528$	4.51591			0.196530
$529$	21.0070	−	9.36519i	0.913347	−	0.407182i
$530$	−45.6129			−1.98130
$531$	−0.989569	+	1.14202i	−0.0429437	+	0.0495596i
$532$	6.56325	−	4.21794i	0.284553	−	0.182871i
$533$	−3.75064	−	26.0862i	−0.162458	−	1.12992i
$534$	−2.43837	−	5.33927i	−0.105518	−	0.231053i
$535$	−2.68588	+	18.6807i	−0.116121	+	0.807637i
$536$	−13.1340	+	3.85649i	−0.567303	+	0.166575i
$537$	17.2574	+	11.0906i	0.744710	+	0.478596i
$538$	2.87155	−	6.28781i	0.123801	−	0.271087i
$539$	−4.33299	−	1.27228i	−0.186635	−	0.0548010i
$540$	2.87803	+	3.32142i	0.123851	+	0.142931i
$541$	24.1172	+	27.8327i	1.03688	+	1.19662i	0.980155	+	0.198233i	$0.0635203\pi$
$541$	24.1172	+	27.8327i	1.03688	+	1.19662i	0.0567246	+	0.998390i	$0.481934\pi$
$542$	2.68872	+	0.789480i	0.115491	+	0.0339111i
$543$	−10.5506	+	23.1025i	−0.452769	+	0.991425i
$544$	0.740074	+	0.475617i	0.0317304	+	0.0203919i
$545$	−22.3404	+	6.55974i	−0.956958	+	0.280988i
$546$	0.408484	−	2.84107i	0.0174815	−	0.121587i
$547$	14.6501	+	32.0793i	0.626394	+	1.37161i	0.910776	+	0.412901i	$0.135485\pi$
$547$	14.6501	+	32.0793i	0.626394	+	1.37161i	−0.284381	+	0.958711i	$0.591788\pi$
$548$	−0.845052	−	5.87746i	−0.0360988	−	0.251073i
$549$	2.65606	−	1.70695i	0.113358	−	0.0728507i
$550$	42.3335	−	48.8554i	1.80510	−	2.08320i
$551$	−51.5639			−2.19669
$552$	−4.69079	+	0.998253i	−0.199653	+	0.0424885i
$553$	1.01988			0.0433699
$554$	−4.78345	+	5.52039i	−0.203229	+	0.234539i
$555$	−41.0486	+	26.3804i	−1.74242	+	1.11978i
$556$	−1.04380	−	7.25978i	−0.0442669	−	0.307883i
$557$	6.22888	+	13.6393i	0.263926	+	0.577917i	0.994479	−	0.104939i	$-0.0334647\pi$
$557$	6.22888	+	13.6393i	0.263926	+	0.577917i	−0.730553	+	0.682856i	$0.760737\pi$
$558$	−0.477748	+	3.32281i	−0.0202247	+	0.140666i
$559$	0.0500050	−	0.0146828i	0.00211499	−	0.000621016i
$560$	3.69720	+	2.37605i	0.156235	+	0.100406i
$561$	−1.65035	+	3.61376i	−0.0696778	+	0.152573i
$562$	−6.56874	−	1.92876i	−0.277086	−	0.0813597i
$563$	−5.56959	−	6.42765i	−0.234730	−	0.270893i	0.626148	−	0.779704i	$-0.284631\pi$
$563$	−5.56959	−	6.42765i	−0.234730	−	0.270893i	−0.860878	+	0.508811i	$0.830085\pi$
$564$	3.29906	+	3.80731i	0.138915	+	0.160317i
$565$	−7.51989	−	2.20804i	−0.316364	−	0.0928929i
$566$	4.49992	−	9.85345i	0.189146	−	0.414172i
$567$	−0.841254	−	0.540641i	−0.0353293	−	0.0227048i
$568$	7.29794	−	2.14287i	0.306215	−	0.0899127i
$569$	3.04780	−	21.1979i	0.127771	−	0.888663i	−0.820601	−	0.571502i	$-0.806361\pi$
$569$	3.04780	−	21.1979i	0.127771	−	0.888663i	0.948371	−	0.317162i	$-0.102730\pi$
$570$	−14.2436	−	31.1892i	−0.596600	−	1.30637i
$571$	−5.26545	−	36.6220i	−0.220352	−	1.53258i	−0.736709	−	0.676210i	$-0.763621\pi$
$571$	−5.26545	−	36.6220i	−0.220352	−	1.53258i	0.516357	−	0.856373i	$-0.327288\pi$
$572$	−10.9043	+	7.00776i	−0.455931	+	0.293009i
$573$	6.47323	−	7.47050i	0.270423	−	0.312085i
$574$	−9.18184			−0.383243
$575$	−33.1732	+	60.1052i	−1.38342	+	2.50656i
$576$	1.00000			0.0416667
$577$	12.6900	−	14.6451i	0.528293	−	0.609683i	−0.427394	−	0.904065i	$-0.640568\pi$
$577$	12.6900	−	14.6451i	0.528293	−	0.609683i	0.955688	+	0.294382i	$0.0951139\pi$
$578$	13.6502	−	8.77248i	0.567775	−	0.364887i
$579$	−0.110478	−	0.768394i	−0.00459133	−	0.0319334i
$580$	−12.0665	−	26.4220i	−0.501036	−	1.09711i
$581$	−1.06985	+	7.44100i	−0.0443851	+	0.308705i
$582$	−2.17709	+	0.639250i	−0.0902431	+	0.0264978i
$583$	−39.4288	−	25.3394i	−1.63298	−	1.04945i
$584$	−1.68560	+	3.69095i	−0.0697507	+	0.152733i
$585$	−12.1036	−	3.55393i	−0.500421	−	0.146937i
$586$	10.7001	+	12.3486i	0.442019	+	0.510117i
$587$	−13.4383	−	15.5087i	−0.554659	−	0.640111i	0.407303	−	0.913293i	$-0.366469\pi$
$587$	−13.4383	−	15.5087i	−0.554659	−	0.640111i	−0.961962	+	0.273182i	$0.911924\pi$
$588$	−0.959493	−	0.281733i	−0.0395688	−	0.0116185i
$589$	10.8798	−	23.8235i	0.448296	−	0.981632i
$590$	5.58690	+	3.59048i	0.230009	+	0.147818i
$591$	24.2264	−	7.11352i	0.996542	−	0.292611i
$592$	−1.58007	+	10.9896i	−0.0649404	+	0.451670i
$593$	10.5264	+	23.0496i	0.432268	+	0.946534i	0.992953	+	0.118506i	$0.0378104\pi$
$593$	10.5264	+	23.0496i	0.432268	+	0.946534i	−0.560686	+	0.828029i	$0.689462\pi$
$594$	0.642681	+	4.46995i	0.0263695	+	0.183404i
$595$	−3.25253	+	2.09028i	−0.133341	+	0.0856930i
$596$	3.86703	−	4.46279i	0.158400	−	0.182803i
$597$	−9.79527			−0.400894
$598$	9.77747	−	9.68955i	0.399830	−	0.396235i
$599$	−10.7625			−0.439745			−0.219872	−	0.975529i	$-0.570564\pi$
$599$	−10.7625			−0.439745			−0.219872	+	0.975529i	$0.570564\pi$
$600$	9.37428	−	10.8185i	0.382704	−	0.441663i
$601$	−11.3748	+	7.31017i	−0.463990	+	0.298188i	−0.751671	−	0.659538i	$-0.770752\pi$
$601$	−11.3748	+	7.31017i	−0.463990	+	0.298188i	0.287681	+	0.957726i	$0.407116\pi$
$602$	−0.00258403	−	0.0179723i	−0.000105317	−	0.000732497i
$603$	−5.68641	−	12.4515i	−0.231568	−	0.507064i
$604$	2.27475	−	15.8212i	0.0925584	−	0.643757i
$605$	39.6109	−	11.6308i	1.61041	−	0.472859i
$606$	0.0877187	+	0.0563734i	0.00356333	+	0.00229001i
$607$	2.18452	−	4.78344i	0.0886670	−	0.194154i	−0.860104	−	0.510119i	$-0.829601\pi$
$607$	2.18452	−	4.78344i	0.0886670	−	0.194154i	0.948771	+	0.315966i	$0.102328\pi$
$608$	−7.48572	−	2.19801i	−0.303586	−	0.0891409i
$609$	4.32815	+	4.99496i	0.175386	+	0.202406i
$610$	−9.08671	−	10.4866i	−0.367910	−	0.424591i
$611$	−13.8742	−	4.07383i	−0.561289	−	0.164809i
$612$	−0.365452	+	0.800229i	−0.0147725	+	0.0323473i
$613$	6.81408	+	4.37914i	0.275218	+	0.176872i	0.670968	−	0.741486i	$-0.265879\pi$
$613$	6.81408	+	4.37914i	0.275218	+	0.176872i	−0.395750	+	0.918358i	$0.629515\pi$
$614$	28.8978	−	8.48515i	1.16622	−	0.342433i
$615$	−5.74284	+	39.9423i	−0.231574	+	1.61063i
$616$	1.87598	+	4.10782i	0.0755853	+	0.165509i
$617$	−0.593782	−	4.12984i	−0.0239048	−	0.166261i	0.974372	−	0.224943i	$-0.0722195\pi$
$617$	−0.593782	−	4.12984i	−0.0239048	−	0.166261i	−0.998277	+	0.0586814i	$0.981310\pi$
$618$	−3.91539	+	2.51627i	−0.157500	+	0.101219i
$619$	−16.9548	+	19.5669i	−0.681473	+	0.786461i	−0.986125	−	0.166002i	$-0.946914\pi$
$619$	−16.9548	+	19.5669i	−0.681473	+	0.786461i	0.304653	+	0.952463i	$0.401460\pi$
$620$	14.7535			0.592515
$621$	−1.65566	−	4.50098i	−0.0664394	−	0.180618i
$622$	22.1598			0.888528
$623$	3.84384	−	4.43603i	0.154000	−	0.177726i
$624$	−2.41464	+	1.55179i	−0.0966628	+	0.0621214i
$625$	−15.4187	−	107.240i	−0.616750	−	4.28959i
$626$	−9.17474	−	20.0899i	−0.366696	−	0.802953i
$627$	5.01404	−	34.8734i	0.200241	−	1.39271i
$628$	4.10223	−	1.20452i	0.163697	−	0.0480657i
$629$	−8.21676	−	5.28059i	−0.327624	−	0.210551i
$630$	−1.82570	+	3.99772i	−0.0727375	+	0.159273i
$631$	38.6323	+	11.3435i	1.53793	+	0.451576i	0.937465	−	0.348079i	$-0.113166\pi$
$631$	38.6323	+	11.3435i	1.53793	+	0.451576i	0.600460	+	0.799655i	$0.294984\pi$
$632$	−0.667882	−	0.770777i	−0.0265669	−	0.0306599i
$633$	12.2987	+	14.1934i	0.488828	+	0.564138i
$634$	−10.7204	−	3.14780i	−0.425763	−	0.125015i
$635$	−7.26711	+	15.9127i	−0.288386	+	0.631478i
$636$	−8.73109	−	5.61113i	−0.346210	−	0.222496i
$637$	2.75402	−	0.808652i	0.109118	−	0.0320400i
$638$	4.24766	−	29.5431i	0.168166	−	1.16962i
$639$	3.15966	+	6.91869i	0.124994	+	0.273699i
$640$	−0.625456	−	4.35014i	−0.0247233	−	0.171954i
$641$	33.6716	−	21.6394i	1.32995	−	0.854706i	0.333822	−	0.942636i	$-0.391662\pi$
$641$	33.6716	−	21.6394i	1.32995	−	0.854706i	0.996127	+	0.0879302i	$0.0280252\pi$
$642$	−2.81215	+	3.24540i	−0.110987	+	0.128086i
$643$	37.1072			1.46337			0.731683	−	0.681645i	$-0.238735\pi$
$643$	37.1072			1.46337			0.731683	+	0.681645i	$0.238735\pi$
$644$	−2.85667	−	3.85220i	−0.112568	−	0.151798i
$645$	−0.0797983			−0.00314205
$646$	4.49458	−	5.18702i	0.176837	−	0.204081i
$647$	−24.7463	+	15.9034i	−0.972875	+	0.625229i	−0.927533	−	0.373742i	$-0.878074\pi$
$647$	−24.7463	+	15.9034i	−0.972875	+	0.625229i	−0.0453429	+	0.998971i	$0.514438\pi$
$648$	0.142315	+	0.989821i	0.00559065	+	0.0388839i
$649$	2.83482	+	6.20738i	0.111276	+	0.243661i
$650$	−5.84742	+	40.6697i	−0.229355	+	1.59520i
$651$	−3.22100	+	0.945771i	−0.126241	+	0.0370677i
$652$	−16.9558	−	10.8968i	−0.664040	−	0.426753i
$653$	−5.24980	+	11.4955i	−0.205440	+	0.449852i	−0.984105	−	0.177589i	$-0.943170\pi$
$653$	−5.24980	+	11.4955i	−0.205440	+	0.449852i	0.778664	+	0.627441i	$0.215898\pi$
$654$	−5.08329	−	1.49259i	−0.198772	−	0.0583648i
$655$	34.4492	+	39.7565i	1.34604	+	1.55342i
$656$	6.01283	+	6.93917i	0.234761	+	0.270929i
$657$	−3.89327	−	1.14317i	−0.151891	−	0.0445992i
$658$	−2.09278	+	4.58254i	−0.0815849	+	0.178646i
$659$	8.98297	+	5.77301i	0.349927	+	0.224884i	0.703782	−	0.710416i	$-0.251493\pi$
$659$	8.98297	+	5.77301i	0.349927	+	0.224884i	−0.353855	+	0.935300i	$0.615129\pi$
$660$	19.0429	−	5.59151i	0.741245	−	0.217649i
$661$	−1.55860	+	10.8403i	−0.0606223	+	0.421638i	0.936799	+	0.349868i	$0.113774\pi$
$661$	−1.55860	+	10.8403i	−0.0606223	+	0.421638i	−0.997421	+	0.0717694i	$0.977135\pi$
$662$	−7.44218	−	16.2961i	−0.289249	−	0.633366i
$663$	−0.359355	−	2.49937i	−0.0139562	−	0.0970674i
$664$	6.32414	−	4.06428i	0.245424	−	0.157725i
$665$	22.4537	−	25.9129i	0.870716	−	1.00486i
$666$	−11.1026			−0.430218
$667$	2.11843	+	31.6261i	0.0820259	+	1.22457i
$668$	15.4234			0.596748
$669$	0.733719	−	0.846757i	0.0283672	−	0.0327375i
$670$	−50.6092	+	32.5245i	−1.95520	+	1.25653i
$671$	−2.02912	−	14.1128i	−0.0783332	−	0.544819i
$672$	0.415415	+	0.909632i	0.0160250	+	0.0350898i
$673$	−3.92106	+	27.2715i	−0.151146	+	1.05124i	0.763158	+	0.646212i	$0.223648\pi$
$673$	−3.92106	+	27.2715i	−0.151146	+	1.05124i	−0.914304	+	0.405029i	$0.867261\pi$
$674$	−17.1654	+	5.04021i	−0.661186	+	0.194142i
$675$	12.0425	+	7.73923i	0.463515	+	0.297883i
$676$	−1.97799	+	4.33119i	−0.0760764	+	0.166584i
$677$	18.2561	+	5.36047i	0.701638	+	0.206019i	0.613045	−	0.790048i	$-0.289945\pi$
$677$	18.2561	+	5.36047i	0.701638	+	0.206019i	0.0885935	+	0.996068i	$0.471763\pi$
$678$	−1.16781	−	1.34772i	−0.0448495	−	0.0517590i
$679$	−1.48588	−	1.71479i	−0.0570227	−	0.0658077i
$680$	3.70968	+	1.08926i	0.142260	+	0.0417713i
$681$	9.74632	−	21.3415i	0.373480	−	0.817807i
$682$	12.7533	+	8.19603i	0.488348	+	0.313842i
$683$	36.7309	−	10.7852i	1.40547	−	0.412683i	0.510912	−	0.859633i	$-0.329308\pi$
$683$	36.7309	−	10.7852i	1.40547	−	0.412683i	0.894559	+	0.446950i	$0.147490\pi$
$684$	1.11030	−	7.72233i	0.0424535	−	0.295271i
$685$	−10.8408	−	23.7381i	−0.414206	−	0.906985i
$686$	−0.142315	−	0.989821i	−0.00543361	−	0.0377916i
$687$	−10.5338	+	6.76964i	−0.401888	+	0.258278i
$688$	−0.0118904	+	0.0137222i	−0.000453317	+	0.000523155i
$689$	29.7897			1.13490
$690$	−18.5443	+	10.0175i	−0.705971	+	0.381361i
$691$	4.98205			0.189526			0.0947631	−	0.995500i	$-0.469791\pi$
$691$	4.98205			0.189526			0.0947631	+	0.995500i	$0.469791\pi$
$692$	−16.6292	+	19.1911i	−0.632146	+	0.729536i
$693$	−3.79903	+	2.44149i	−0.144313	+	0.0927444i
$694$	3.42036	+	23.7892i	0.129835	+	0.903024i
$695$	−13.3905	−	29.3210i	−0.507929	−	1.11221i
$696$	0.940598	−	6.54200i	0.0356533	−	0.247974i
$697$	−7.75033	+	2.27570i	−0.293565	+	0.0861983i
$698$	10.9166	+	7.01569i	0.413200	+	0.265548i
$699$	7.60833	−	16.6599i	0.287773	−	0.630136i
$700$	13.7351	+	4.03298i	0.519137	+	0.152432i
$701$	−1.93785	−	2.23639i	−0.0731914	−	0.0844674i	0.717973	−	0.696071i	$-0.245070\pi$
$701$	−1.93785	−	2.23639i	−0.0731914	−	0.0844674i	−0.791164	+	0.611604i	$0.790525\pi$
$702$	−1.87964	−	2.16922i	−0.0709423	−	0.0818718i
$703$	83.1111	+	24.4036i	3.13459	+	0.920400i
$704$	1.87598	−	4.10782i	0.0707036	−	0.154819i
$705$	18.6258	+	11.9701i	0.701487	+	0.450818i
$706$	−23.4519	+	6.88611i	−0.882626	+	0.259162i
$707$	−0.0148394	+	0.103210i	−0.000558092	+	0.00388161i
$708$	0.627740	+	1.37456i	0.0235919	+	0.0516590i
$709$	−6.67291	−	46.4111i	−0.250606	−	1.74301i	−0.594589	−	0.804029i	$-0.702685\pi$
$709$	−6.67291	−	46.4111i	−0.250606	−	1.74301i	0.343983	−	0.938976i	$-0.388224\pi$
$710$	28.1211	−	18.0723i	1.05536	−	0.678242i
$711$	0.667882	−	0.770777i	0.0250475	−	0.0289064i
$712$	−5.86971			−0.219977
$713$	−15.0589	−	5.69427i	−0.563959	−	0.213252i
$714$	−0.879728			−0.0329230
$715$	−37.3049	+	43.0522i	−1.39512	+	1.61006i
$716$	17.2574	−	11.0906i	0.644938	−	0.414476i
$717$	1.59424	+	11.0882i	0.0595378	+	0.414095i
$718$	−0.244664	−	0.535740i	−0.00913080	−	0.0199937i
$719$	−4.53645	+	31.5517i	−0.169181	+	1.17668i	0.711401	+	0.702787i	$0.248061\pi$
$719$	−4.53645	+	31.5517i	−0.169181	+	1.17668i	−0.880582	+	0.473894i	$0.842848\pi$
$720$	4.21685	−	1.23818i	0.157153	−	0.0461442i
$721$	−3.91539	−	2.51627i	−0.145817	−	0.0937108i
$722$	−17.3923	+	38.0838i	−0.647273	+	1.41733i
$723$	14.1286	+	4.14852i	0.525447	+	0.154285i
$724$	16.6319	+	19.1943i	0.618121	+	0.713350i
$725$	−61.9572	−	71.5024i	−2.30103	−	2.65553i
$726$	9.01297	+	2.64645i	0.334503	+	0.0982189i
$727$	−10.7561	+	23.5527i	−0.398923	+	0.873520i	0.598455	+	0.801157i	$0.295782\pi$
$727$	−10.7561	+	23.5527i	−0.398923	+	0.873520i	−0.997378	+	0.0723639i	$0.976946\pi$
$728$	−2.41464	−	1.55179i	−0.0894924	−	0.0575133i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−2.53787	+	17.6513i	−0.0939309	+	0.653303i
$731$	−0.00663556	−	0.0145298i	−0.000245425	−	0.000537406i
$732$	−0.449326	−	3.12513i	−0.0166076	−	0.115508i
$733$	14.7861	−	9.50246i	0.546138	−	0.350981i	−0.238298	−	0.971192i	$-0.576589\pi$
$733$	14.7861	−	9.50246i	0.546138	−	0.350981i	0.784435	+	0.620211i	$0.212953\pi$
$734$	−12.0322	+	13.8859i	−0.444118	+	0.512540i
$735$	−4.39487			−0.162107
$736$	−1.04058	+	4.68158i	−0.0383563	+	0.172565i
$737$	−61.8161			−2.27702
$738$	−6.01283	+	6.93917i	−0.221335	+	0.255434i
$739$	−32.5999	+	20.9507i	−1.19921	+	0.770683i	−0.978819	−	0.204729i	$-0.934369\pi$
$739$	−32.5999	+	20.9507i	−1.19921	+	0.770683i	−0.220388	+	0.975412i	$0.570732\pi$
$740$	6.94420	+	48.2979i	0.255274	+	1.77547i
$741$	9.30248	+	20.3696i	0.341735	+	0.748296i
$742$	1.47704	−	10.2730i	0.0542238	−	0.377135i
$743$	−42.4449	+	12.4629i	−1.55715	+	0.457221i	−0.943228	−	0.332145i	$-0.892228\pi$
$743$	−42.4449	+	12.4629i	−1.55715	+	0.457221i	−0.613923	+	0.789366i	$0.710410\pi$
$744$	2.82407	+	1.81492i	0.103536	+	0.0665382i
$745$	10.7810	−	23.6070i	0.394984	−	0.864894i
$746$	16.2455	+	4.77010i	0.594789	+	0.174646i
$747$	4.92293	+	5.68136i	0.180121	+	0.207870i
$748$	2.60161	+	3.00242i	0.0951244	+	0.109779i
$749$	−4.12033	−	1.20984i	−0.150553	−	0.0442065i
$750$	17.0062	−	37.2385i	0.620980	−	1.35976i
$751$	−15.4324	−	9.91780i	−0.563136	−	0.361906i	0.227891	−	0.973687i	$-0.426817\pi$
$751$	−15.4324	−	9.91780i	−0.563136	−	0.361906i	−0.791027	+	0.611781i	$0.790453\pi$
$752$	4.83373	−	1.41931i	0.176268	−	0.0517570i
$753$	0.729470	−	5.07357i	0.0265834	−	0.184891i
$754$	7.88063	+	17.2562i	0.286996	+	0.628433i
$755$	−9.99725	−	69.5324i	−0.363837	−	2.53054i
$756$	−0.841254	+	0.540641i	−0.0305961	+	0.0196629i
$757$	1.70906	−	1.97236i	0.0621167	−	0.0716865i	−0.723841	−	0.689967i	$-0.757625\pi$
$757$	1.70906	−	1.97236i	0.0621167	−	0.0716865i	0.785957	+	0.618281i	$0.212170\pi$
$758$	−4.51588			−0.164024
$759$	−21.5952	−	1.64258i	−0.783855	−	0.0596217i
$760$	−34.2877			−1.24375
$761$	−26.4192	+	30.4894i	−0.957695	+	1.10524i	0.0366801	+	0.999327i	$0.488322\pi$
$761$	−26.4192	+	30.4894i	−0.957695	+	1.10524i	−0.994375	+	0.105912i	$0.966224\pi$
$762$	−3.34857	+	2.15200i	−0.121306	+	0.0779586i
$763$	−0.753968	−	5.24397i	−0.0272955	−	0.189844i
$764$	−4.10633	−	8.99161i	−0.148562	−	0.325305i
$765$	−0.550231	+	3.82694i	−0.0198936	+	0.138363i
$766$	8.17254	−	2.39967i	0.295286	−	0.0867037i
$767$	−3.64879	−	2.34494i	−0.131750	−	0.0846707i
$768$	0.415415	−	0.909632i	0.0149900	−	0.0328235i
$769$	−12.2964	−	3.61055i	−0.443420	−	0.130200i	0.0523983	−	0.998626i	$-0.483313\pi$
$769$	−12.2964	−	3.61055i	−0.443420	−	0.130200i	−0.495818	+	0.868427i	$0.665132\pi$
$770$	12.9969	+	14.9993i	0.468377	+	0.540536i
$771$	−12.4604	−	14.3801i	−0.448750	−	0.517885i
$772$	−0.744850	−	0.218708i	−0.0268077	−	0.00787147i
$773$	−6.76360	+	14.8102i	−0.243270	+	0.532686i	−0.991400	−	0.130865i	$-0.958224\pi$
$773$	−6.76360	+	14.8102i	−0.243270	+	0.532686i	0.748130	+	0.663552i	$0.230952\pi$
$774$	−0.0152747	−	0.00981648i	−0.000549039	−	0.000352846i
$775$	46.1084	−	13.5386i	1.65626	−	0.486322i
$776$	−0.322912	+	2.24590i	−0.0115919	+	0.0806232i
$777$	−4.61219	−	10.0993i	−0.165462	−	0.362310i
$778$	0.982027	+	6.83015i	0.0352074	+	0.244873i
$779$	60.2627	−	38.7285i	2.15913	−	1.38759i
$780$	−8.26077	+	9.53343i	−0.295783	+	0.341352i
$781$	34.3482			1.22908
$782$	−3.36605	−	2.54360i	−0.120370	−	0.0909588i
$783$	6.60927			0.236196
$784$	−0.654861	+	0.755750i	−0.0233879	+	0.0269911i
$785$	15.8071	−	10.1586i	0.564178	−	0.362575i
$786$	1.70347	+	11.8479i	0.0607607	+	0.422600i
$787$	−8.71810	−	19.0900i	−0.310767	−	0.680484i	0.688219	−	0.725503i	$-0.258393\pi$
$787$	−8.71810	−	19.0900i	−0.310767	−	0.680484i	−0.998986	+	0.0450183i	$0.985665\pi$
$788$	3.59334	−	24.9922i	0.128007	−	0.890310i
$789$	9.01973	−	2.64843i	0.321111	−	0.0942866i
$790$	−3.77072	−	2.42330i	−0.134156	−	0.0862170i
$791$	0.740807	−	1.62214i	0.0263401	−	0.0576767i
$792$	4.33299	+	1.27228i	0.153966	+	0.0452085i
$793$	5.93451	+	6.84879i	0.210741	+	0.243208i
$794$	8.31694	+	9.59826i	0.295157	+	0.340630i
$795$	−43.7653	−	12.8506i	−1.55219	−	0.455766i
$796$	−4.06910	+	8.91009i	−0.144226	+	0.315810i
$797$	44.7759	+	28.7758i	1.58605	+	1.01929i	0.973452	+	0.228891i	$0.0735100\pi$
$797$	44.7759	+	28.7758i	1.58605	+	1.01929i	0.612593	+	0.790398i	$0.290126\pi$
$798$	7.48572	−	2.19801i	0.264992	−	0.0778086i
$799$	−0.630724	+	4.38678i	−0.0223134	+	0.155193i
$800$	−5.94664	−	13.0213i	−0.210245	−	0.460373i
$801$	−0.835347	−	5.80996i	−0.0295155	−	0.205285i
$802$	−5.90928	+	3.79766i	−0.208664	+	0.134100i
$803$	−11.9996	+	13.8483i	−0.423457	+	0.488696i
$804$	−13.6885			−0.482756
$805$	−16.8159	−	12.7071i	−0.592681	−	0.447866i
$806$	−9.63549			−0.339396
$807$	4.52671	−	5.22410i	0.159348	−	0.183897i
$808$	0.0877187	−	0.0563734i	0.00308593	−	0.00198321i
$809$	2.59010	+	18.0145i	0.0910630	+	0.633357i	0.983327	+	0.181844i	$0.0582066\pi$
$809$	2.59010	+	18.0145i	0.0910630	+	0.633357i	−0.892264	+	0.451513i	$0.850884\pi$
$810$	1.82570	+	3.99772i	0.0641485	+	0.140466i
$811$	−0.591282	+	4.11246i	−0.0207627	+	0.144408i	−0.997566	−	0.0697318i	$-0.977786\pi$
$811$	−0.591282	+	4.11246i	−0.0207627	+	0.144408i	0.976803	+	0.214140i	$0.0686948\pi$
$812$	6.34155	−	1.86205i	0.222545	−	0.0653451i
$813$	2.35739	+	1.51500i	0.0826772	+	0.0531334i
$814$	−20.8283	+	45.6075i	−0.730030	+	1.59854i
$815$	−84.9923	−	24.9560i	−2.97715	−	0.874170i
$816$	0.576099	+	0.664854i	0.0201675	+	0.0232745i
$817$	0.0927658	+	0.107057i	0.00324546	+	0.00374546i
$818$	−16.0670	−	4.71769i	−0.561769	−	0.164950i
$819$	1.19236	−	2.61090i	0.0416644	−	0.0912323i
$820$	33.9471	+	21.8165i	1.18549	+	0.761865i
$821$	−29.8461	+	8.76361i	−1.04164	+	0.305852i	−0.757434	−	0.652912i	$-0.773547\pi$
$821$	−29.8461	+	8.76361i	−1.04164	+	0.305852i	−0.284203	+	0.958764i	$0.591729\pi$
$822$	0.845052	−	5.87746i	0.0294746	−	0.205000i
$823$	3.33928	+	7.31200i	0.116400	+	0.254880i	0.958860	−	0.283878i	$-0.0916210\pi$
$823$	3.33928	+	7.31200i	0.116400	+	0.254880i	−0.842461	+	0.538758i	$0.818894\pi$
$824$	0.662367	+	4.60686i	0.0230746	+	0.160488i
$825$	54.3828	−	34.9497i	1.89337	−	1.21679i
$826$	−0.989569	+	1.14202i	−0.0344315	+	0.0397361i
$827$	1.29150			0.0449100			0.0224550	−	0.999748i	$-0.492852\pi$
$827$	1.29150			0.0449100			0.0224550	+	0.999748i	$0.492852\pi$
$828$	−4.78202	−	0.363731i	−0.166187	−	0.0126405i
$829$	−3.64265			−0.126514			−0.0632572	−	0.997997i	$-0.520149\pi$
$829$	−3.64265			−0.126514			−0.0632572	+	0.997997i	$0.520149\pi$
$830$	21.6357	−	24.9689i	0.750985	−	0.866683i
$831$	−6.14496	+	3.94912i	−0.213166	+	0.136994i
$832$	0.408484	+	2.84107i	0.0141616	+	0.0984963i
$833$	−0.365452	−	0.800229i	−0.0126622	−	0.0277263i
$834$	1.04380	−	7.25978i	0.0361438	−	0.251386i
$835$	65.0381	−	19.0969i	2.25074	−	0.660875i
$836$	−29.6390	−	19.0479i	−1.02509	−	0.658784i
$837$	−1.39454	+	3.05362i	−0.0482024	+	0.105548i
$838$	7.88790	+	2.31610i	0.272483	+	0.0800082i
$839$	19.6304	+	22.6547i	0.677718	+	0.782129i	0.985563	−	0.169308i	$-0.0541532\pi$
$839$	19.6304	+	22.6547i	0.677718	+	0.782129i	−0.307845	+	0.951437i	$0.599608\pi$
$840$	2.87803	+	3.32142i	0.0993015	+	0.114600i
$841$	−14.0878	−	4.13654i	−0.485785	−	0.142639i
$842$	−11.6515	+	25.5132i	−0.401536	+	0.879242i
$843$	−5.75927	−	3.70126i	−0.198360	−	0.127478i
$844$	18.0198	−	5.29110i	0.620268	−	0.182127i
$845$	−2.97809	+	20.7131i	−0.102449	+	0.712551i
$846$	2.09278	+	4.58254i	0.0719511	+	0.157551i
$847$	1.33683	+	9.29786i	0.0459340	+	0.319478i
$848$	−8.73109	+	5.61113i	−0.299827	+	0.192687i
$849$	7.09368	−	8.18655i	0.243455	−	0.280962i
$850$	12.5932			0.431945
$851$	11.5532	−	51.9778i	0.396037	−	1.78178i
$852$	7.60604			0.260579
$853$	18.5352	−	21.3908i	0.634634	−	0.732407i	−0.343782	−	0.939049i	$-0.611708\pi$
$853$	18.5352	−	21.3908i	0.634634	−	0.732407i	0.978417	+	0.206642i	$0.0662537\pi$
$854$	2.65606	−	1.70695i	0.0908886	−	0.0584105i
$855$	−4.87965	−	33.9387i	−0.166880	−	1.16068i
$856$	1.78391	+	3.90621i	0.0609727	+	0.133511i
$857$	−6.09754	+	42.4093i	−0.208288	+	1.44867i	0.570454	+	0.821330i	$0.306767\pi$
$857$	−6.09754	+	42.4093i	−0.208288	+	1.44867i	−0.778742	+	0.627344i	$0.784142\pi$
$858$	−12.4369	+	3.65180i	−0.424589	+	0.124671i
$859$	30.9529	+	19.8922i	1.05610	+	0.678714i	0.948917	−	0.315525i	$-0.102181\pi$
$859$	30.9529	+	19.8922i	1.05610	+	0.678714i	0.107183	+	0.994239i	$0.465817\pi$
$860$	−0.0331494	+	0.0725871i	−0.00113039	+	0.00247520i
$861$	−8.80991	−	2.58682i	−0.300241	−	0.0881587i
$862$	−15.4447	−	17.8241i	−0.526047	−	0.607091i
$863$	−4.29012	−	4.95106i	−0.146037	−	0.168536i	0.678018	−	0.735045i	$-0.262839\pi$
$863$	−4.29012	−	4.95106i	−0.146037	−	0.168536i	−0.824056	+	0.566509i	$0.808294\pi$
$864$	0.959493	+	0.281733i	0.0326426	+	0.00958474i
$865$	−46.3607	+	101.516i	−1.57631	+	3.45164i
$866$	14.8515	+	9.54451i	0.504676	+	0.324336i
$867$	15.5688	−	4.57141i	0.528744	−	0.155253i
$868$	−0.477748	+	3.32281i	−0.0162158	+	0.112784i
$869$	−1.91328	−	4.18950i	−0.0649036	−	0.142119i
$870$	−4.13381	−	28.7513i	−0.140149	−	0.974760i
$871$	33.0527	−	21.2417i	1.11995	−	0.719748i
$872$	−3.46938	+	4.00388i	−0.117488	+	0.135588i
$873$	−2.26900			−0.0767939
$874$	34.9974	+	13.2337i	1.18380	+	0.447636i
$875$	40.9379			1.38395
$876$	−2.65719	+	3.06656i	−0.0897780	+	0.103609i
$877$	34.6114	−	22.2434i	1.16874	−	0.751105i	0.195459	−	0.980712i	$-0.437380\pi$
$877$	34.6114	−	22.2434i	1.16874	−	0.751105i	0.973284	+	0.229607i	$0.0737440\pi$
$878$	−1.85722	−	12.9173i	−0.0626782	−	0.435936i
$879$	6.78770	+	14.8630i	0.228943	+	0.501316i
$880$	2.82450	−	19.6449i	0.0952140	−	0.662228i
$881$	−22.3688	+	6.56807i	−0.753623	+	0.221284i	−0.635909	−	0.771764i	$-0.719375\pi$
$881$	−22.3688	+	6.56807i	−0.753623	+	0.221284i	−0.117714	+	0.993048i	$0.537557\pi$
$882$	−0.841254	−	0.540641i	−0.0283265	−	0.0182043i
$883$	−16.1280	+	35.3153i	−0.542749	+	1.18845i	0.417338	+	0.908751i	$0.362963\pi$
$883$	−16.1280	+	35.3153i	−0.542749	+	1.18845i	−0.960087	+	0.279703i	$0.909764\pi$
$884$	−2.42279	−	0.711394i	−0.0814871	−	0.0239268i
$885$	4.34903	+	5.01905i	0.146191	+	0.168714i
$886$	21.3370	+	24.6242i	0.716829	+	0.827265i
$887$	12.1306	+	3.56187i	0.407307	+	0.119596i	0.478967	−	0.877833i	$-0.341011\pi$
$887$	12.1306	+	3.56187i	0.407307	+	0.119596i	−0.0716601	+	0.997429i	$0.522830\pi$
$888$	−4.61219	+	10.0993i	−0.154775	+	0.338910i
$889$	−3.34857	−	2.15200i	−0.112307	−	0.0721756i
$890$	−24.7517	+	7.26775i	−0.829679	+	0.243616i
$891$	−0.642681	+	4.46995i	−0.0215306	+	0.149749i
$892$	−0.465439	−	1.01917i	−0.0155841	−	0.0341243i
$893$	−5.59349	−	38.9036i	−0.187179	−	1.30186i
$894$	4.96770	−	3.19255i	0.166145	−	0.106775i
$895$	59.0395	−	68.1352i	1.97347	−	2.27751i
$896$	1.00000			0.0334077
$897$	12.1113	−	6.54242i	0.404384	−	0.218445i
$898$	−38.7658			−1.29363
$899$	14.5295	−	16.7680i	0.484587	−	0.559243i
$900$	12.0425	−	7.73923i	0.401416	−	0.257974i
$901$	−1.29939	−	9.03747i	−0.0432890	−	0.301082i
$902$	17.2249	+	37.7173i	0.573528	+	1.25585i
$903$	0.00258403	−	0.0179723i	8.59911e−5	−	0.000598081i
$904$	−1.71106	+	0.502412i	−0.0569090	+	0.0167100i
$905$	93.9004	+	60.3461i	3.12136	+	2.00597i
$906$	6.63997	−	14.5395i	0.220598	−	0.483043i
$907$	16.5889	+	4.87093i	0.550824	+	0.161737i	0.545289	−	0.838248i	$-0.316420\pi$
$907$	16.5889	+	4.87093i	0.550824	+	0.161737i	0.00553505	+	0.999985i	$0.498238\pi$
$908$	−15.3641	−	17.7311i	−0.509876	−	0.588428i
$909$	0.0682832	+	0.0788031i	0.00226481	+	0.00261373i
$910$	−12.1036	−	3.55393i	−0.401229	−	0.117812i
$911$	13.0597	−	28.5968i	0.432687	−	0.947453i	−0.560196	−	0.828360i	$-0.689274\pi$
$911$	13.0597	−	28.5968i	0.432687	−	0.947453i	0.992883	−	0.119093i	$-0.0379986\pi$
$912$	−6.56325	−	4.21794i	−0.217331	−	0.139670i
$913$	32.5733	−	9.56439i	1.07802	−	0.316535i
$914$	−3.84593	+	26.7490i	−0.127212	+	0.884779i
$915$	−5.76421	−	12.6219i	−0.190559	−	0.417266i
$916$	1.78200	+	12.3941i	0.0588788	+	0.409511i
$917$	−10.0696	+	6.47132i	−0.332526	+	0.213702i
$918$	−0.576099	+	0.664854i	−0.0190141	+	0.0219435i
$919$	1.44360			0.0476199			0.0238099	−	0.999717i	$-0.492420\pi$
$919$	1.44360			0.0476199			0.0238099	+	0.999717i	$0.492420\pi$
$920$	1.40866	+	21.0300i	0.0464422	+	0.693337i
$921$	30.1177			0.992413
$922$	2.38413	−	2.75143i	0.0785171	−	0.0906136i
$923$	−18.3658	+	11.8030i	−0.604518	+	0.388500i
$924$	0.642681	+	4.46995i	0.0211427	+	0.147050i
$925$	66.0232	+	144.571i	2.17083	+	4.75345i
$926$	5.82861	−	40.5389i	0.191540	−	1.33219i
$927$	−4.46571	+	1.31125i	−0.146673	+	0.0430671i
$928$	−5.56008	−	3.57324i	−0.182518	−	0.117297i
$929$	12.1706	−	26.6499i	0.399305	−	0.874356i	−0.598035	−	0.801470i	$-0.704052\pi$
$929$	12.1706	−	26.6499i	0.399305	−	0.874356i	0.997340	−	0.0728865i	$-0.0232211\pi$
$930$	14.1559	+	4.15654i	0.464190	+	0.136298i
$931$	5.10906	+	5.89617i	0.167443	+	0.193239i
$932$	−11.9938	−	13.8416i	−0.392869	−	0.453395i
$933$	21.2622	+	6.24314i	0.696093	+	0.204391i
$934$	−8.07832	+	17.6891i	−0.264331	+	0.578804i
$935$	14.6882	+	9.43951i	0.480354	+	0.308705i
$936$	−2.75402	+	0.808652i	−0.0900179	+	0.0264316i
$937$	7.76649	−	54.0171i	0.253720	−	1.76466i	−0.321736	−	0.946829i	$-0.604266\pi$
$937$	7.76649	−	54.0171i	0.253720	−	1.76466i	0.575456	−	0.817833i	$-0.304824\pi$
$938$	−5.68641	−	12.4515i	−0.185668	−	0.406556i
$939$	−3.14313	−	21.8609i	−0.102572	−	0.713404i
$940$	18.6258	−	11.9701i	0.607505	−	0.390420i
$941$	−16.2522	+	18.7561i	−0.529807	+	0.611430i	−0.956059	−	0.293175i	$-0.905288\pi$
$941$	−16.2522	+	18.7561i	−0.529807	+	0.611430i	0.426252	+	0.904604i	$0.359834\pi$
$942$	4.27541			0.139300
$943$	−26.2295	−	35.3703i	−0.854149	−	1.15182i
$944$	1.51111			0.0491826
$945$	−2.87803	+	3.32142i	−0.0936224	+	0.108046i
$946$	−0.0689794	+	0.0443304i	−0.00224271	+	0.00144130i
$947$	−8.40721	−	58.4734i	−0.273198	−	1.90013i	−0.414307	−	0.910137i	$-0.635976\pi$
$947$	−8.40721	−	58.4734i	−0.273198	−	1.90013i	0.141109	−	0.989994i	$-0.454933\pi$
$948$	−0.423675	−	0.927720i	−0.0137603	−	0.0301309i
$949$	1.65748	−	11.5280i	0.0538040	−	0.374215i
$950$	−107.158	+	31.4643i	−3.47665	+	1.02084i
$951$	−9.39934	−	6.04059i	−0.304794	−	0.195880i
$952$	−0.365452	+	0.800229i	−0.0118444	+	0.0259356i
$953$	2.15900	+	0.633940i	0.0699369	+	0.0205353i	0.316514	−	0.948588i	$-0.397488\pi$
$953$	2.15900	+	0.633940i	0.0699369	+	0.0205353i	−0.246577	+	0.969123i	$0.579306\pi$
$954$	−6.79658	−	7.84367i	−0.220047	−	0.253948i
$955$	−28.4490	−	32.8319i	−0.920589	−	1.06242i
$956$	10.7484	+	3.15602i	0.347628	+	0.102073i
$957$	12.3989	−	27.1497i	0.400798	−	0.877625i
$958$	9.99288	+	6.42203i	0.322855	+	0.207486i
$959$	5.69738	−	1.67290i	0.183978	−	0.0540208i
$960$	0.625456	−	4.35014i	0.0201865	−	0.140400i
$961$	−8.19642	−	17.9477i	−0.264401	−	0.578957i
$962$	−4.53524	−	31.5433i	−0.146222	−	1.01700i
$963$	−3.61257	+	2.32166i	−0.116414	+	0.0748145i
$964$	9.64284	−	11.1284i	0.310575	−	0.358423i
$965$	−3.41172			−0.109827
$966$	−1.65566	−	4.50098i	−0.0532700	−	0.144817i
$967$	25.0437			0.805353			0.402676	−	0.915342i	$-0.368080\pi$
$967$	25.0437			0.805353			0.402676	+	0.915342i	$0.368080\pi$
$968$	6.15142	−	7.09911i	0.197714	−	0.228174i
$969$	5.77387	−	3.71064i	0.185483	−	0.119203i
$970$	1.41916	+	9.87046i	0.0455664	+	0.316921i
$971$	−3.40003	−	7.44502i	−0.109112	−	0.238922i	0.847197	−	0.531278i	$-0.178288\pi$
$971$	−3.40003	−	7.44502i	−0.109112	−	0.238922i	−0.956310	+	0.292356i	$0.905561\pi$
$972$	−0.142315	+	0.989821i	−0.00456475	+	0.0317485i
$973$	7.03734	−	2.06635i	0.225607	−	0.0662441i
$974$	12.5665	+	8.07598i	0.402656	+	0.258771i
$975$	−17.0685	+	37.3749i	−0.546630	+	1.19695i
$976$	−3.02938	−	0.889505i	−0.0969680	−	0.0284724i
$977$	−16.2977	−	18.8086i	−0.521410	−	0.601739i	0.432573	−	0.901599i	$-0.357606\pi$
$977$	−16.2977	−	18.8086i	−0.521410	−	0.601739i	−0.953983	+	0.299860i	$0.903060\pi$
$978$	−13.1990	−	15.2324i	−0.422057	−	0.487079i
$979$	−25.4334	−	7.46791i	−0.812854	−	0.238676i
$980$	−1.82570	+	3.99772i	−0.0583198	+	0.127702i
$981$	−4.45687	−	2.86426i	−0.142297	−	0.0914487i
$982$	20.3634	−	5.97925i	0.649824	−	0.190805i
$983$	−1.85385	+	12.8938i	−0.0591287	+	0.411249i	0.938663	+	0.344835i	$0.112065\pi$
$983$	−1.85385	+	12.8938i	−0.0591287	+	0.411249i	−0.997792	+	0.0664143i	$0.978844\pi$
$984$	3.81427	+	8.35210i	0.121595	+	0.266255i
$985$	−15.7923	−	109.838i	−0.503183	−	3.49972i
$986$	4.89135	−	3.14348i	0.155772	−	0.100109i
$987$	−3.29906	+	3.80731i	−0.105010	+	0.121188i
$988$	22.3932			0.712423
$989$	0.0618512	−	0.0612951i	0.00196675	−	0.00194907i
$990$	19.8469			0.630775
$991$	−21.7318	+	25.0798i	−0.690334	+	0.796688i	−0.987413	−	0.158165i	$-0.949442\pi$
$991$	−21.7318	+	25.0798i	−0.690334	+	0.796688i	0.297079	+	0.954853i	$0.403988\pi$
$992$	2.82407	−	1.81492i	0.0896644	−	0.0576238i
$993$	−2.54958	−	17.7327i	−0.0809084	−	0.562730i
$994$	3.15966	+	6.91869i	0.100218	+	0.219448i
$995$	−6.12651	+	42.6108i	−0.194223	+	1.35085i
$996$	7.21301	−	2.11793i	0.228553	−	0.0671092i
$997$	28.3517	+	18.2205i	0.897907	+	0.577050i	0.906169	−	0.422916i	$-0.138993\pi$
$997$	28.3517	+	18.2205i	0.897907	+	0.577050i	−0.00826177	+	0.999966i	$0.502630\pi$
$998$	2.13752	−	4.68051i	0.0676620	−	0.148159i
$999$	−10.6529	−	3.12797i	−0.337042	−	0.0989645i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.85.1	✓	30
23.13	even	11	inner	966.2.q.f.841.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.85.1	✓	30	1.1	even	1	trivial
966.2.q.f.841.1	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)

\(f(q)\)	\(=\)	\(q+(0.654861 - 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.82570 - 3.99772i) q^{5} +(0.142315 - 0.989821i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.654861 - 0.755750i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.142315 - 0.989821i) q^{4} +(-1.82570 - 3.99772i) 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} +(-4.21685 - 1.23818i) q^{10} +(-2.95729 - 3.41290i) q^{11} +(-0.654861 - 0.755750i) q^{12} +(2.75402 + 0.808652i) q^{13} +(0.415415 - 0.909632i) q^{14} +(-3.69720 - 2.37605i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.125198 - 0.870774i) q^{17} +(-0.415415 - 0.909632i) q^{18} +(1.11030 + 7.72233i) q^{19} +(-3.69720 + 2.37605i) q^{20} +(0.654861 - 0.755750i) q^{21} -4.51591 q^{22} +(4.69079 - 0.998253i) q^{23} -1.00000 q^{24} +(-9.37428 + 10.8185i) q^{25} +(2.41464 - 1.55179i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(-0.415415 - 0.909632i) q^{28} +(-0.940598 + 6.54200i) q^{29} +(-4.21685 + 1.23818i) q^{30} +(-2.82407 - 1.81492i) q^{31} +(-0.415415 + 0.909632i) q^{32} +(-4.33299 - 1.27228i) q^{33} +(-0.576099 - 0.664854i) q^{34} +(-2.87803 - 3.32142i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(4.61219 - 10.0993i) q^{37} +(6.56325 + 4.21794i) q^{38} +(2.75402 - 0.808652i) q^{39} +(-0.625456 + 4.35014i) q^{40} +(-3.81427 - 8.35210i) q^{41} +(-0.142315 - 0.989821i) q^{42} +(0.0152747 - 0.00981648i) q^{43} +(-2.95729 + 3.41290i) q^{44} -4.39487 q^{45} +(2.31738 - 4.19878i) q^{46} -5.03780 q^{47} +(-0.654861 + 0.755750i) q^{48} +(0.841254 - 0.540641i) q^{49} +(2.03723 + 14.1692i) q^{50} +(-0.365452 - 0.800229i) q^{51} +(0.408484 - 2.84107i) q^{52} +(9.95826 - 2.92401i) q^{53} +(-0.841254 - 0.540641i) q^{54} +(-8.24469 + 18.0534i) q^{55} +(-0.959493 - 0.281733i) q^{56} +(5.10906 + 5.89617i) q^{57} +(4.32815 + 4.99496i) q^{58} +(-1.44990 - 0.425730i) q^{59} +(-1.82570 + 3.99772i) q^{60} +(2.65606 + 1.70695i) q^{61} +(-3.22100 + 0.945771i) q^{62} +(0.142315 - 0.989821i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-1.79524 - 12.4861i) q^{65} +(-3.79903 + 2.44149i) q^{66} +(8.96406 - 10.3451i) q^{67} -0.879728 q^{68} +(3.40645 - 3.37582i) q^{69} -4.39487 q^{70} +(-4.98089 + 5.74826i) q^{71} +(-0.841254 + 0.540641i) q^{72} +(-0.577462 - 4.01633i) q^{73} +(-4.61219 - 10.0993i) q^{74} +(-2.03723 + 14.1692i) q^{75} +(7.48572 - 2.19801i) q^{76} +(-3.79903 - 2.44149i) q^{77} +(1.19236 - 2.61090i) q^{78} +(0.978572 + 0.287335i) q^{79} +(2.87803 + 3.32142i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-8.80991 - 2.58682i) q^{82} +(-3.12289 + 6.83818i) q^{83} +(-0.841254 - 0.540641i) q^{84} +(-3.70968 + 1.08926i) q^{85} +(0.00258403 - 0.0179723i) q^{86} +(2.74559 + 6.01201i) q^{87} +(0.642681 + 4.46995i) q^{88} +(4.93791 - 3.17340i) q^{89} +(-2.87803 + 3.32142i) q^{90} +2.87028 q^{91} +(-1.65566 - 4.50098i) q^{92} -3.35698 q^{93} +(-3.29906 + 3.80731i) q^{94} +(28.8446 - 18.5373i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-0.942575 - 2.06395i) q^{97} +(0.142315 - 0.989821i) q^{98} +(-4.33299 + 1.27228i) 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	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 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 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Introduction

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