LMFDB - Embedded newform 966.2.q.f.127.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			127.3
Character	$\chi$	$=$	966.127
Dual form			966.2.q.f.715.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.55755 - 0.750965i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.55755 - 0.750965i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-1.74555 + 2.01447i) q^{10} +(-1.70571 - 1.09619i) q^{11} +(0.841254 + 0.540641i) q^{12} +(-2.79914 + 3.23038i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.379344 + 2.63839i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.08615 + 2.37833i) q^{17} +(0.959493 - 0.281733i) q^{18} +(-0.679408 + 1.48770i) q^{19} +(0.379344 - 2.63839i) q^{20} +(-0.841254 + 0.540641i) q^{21} +2.02758 q^{22} +(-1.22238 + 4.63743i) q^{23} -1.00000 q^{24} +(1.77086 - 1.13806i) q^{25} +(0.608311 - 4.23090i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(3.87758 + 8.49072i) q^{29} +(-1.74555 - 2.01447i) q^{30} +(-0.105719 - 0.735294i) q^{31} +(0.959493 + 0.281733i) q^{32} +(1.32778 - 1.53234i) q^{33} +(-2.19955 - 1.41356i) q^{34} +(2.24238 + 1.44109i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(6.50752 + 1.91078i) q^{37} +(-0.232755 - 1.61885i) q^{38} +(-2.79914 - 3.23038i) q^{39} +(1.10730 + 2.42465i) q^{40} +(-0.774866 + 0.227521i) q^{41} +(0.415415 - 0.909632i) q^{42} +(1.09018 - 7.58234i) q^{43} +(-1.70571 + 1.09619i) q^{44} -2.66553 q^{45} +(-1.47885 - 4.56213i) q^{46} +12.7865 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.874459 + 1.91480i) q^{50} +(-2.50870 + 0.736620i) q^{51} +(1.77565 + 3.88813i) q^{52} +(7.66655 + 8.84767i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-5.18564 - 1.52264i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(-1.37586 - 0.884214i) q^{57} +(-7.85246 - 5.04647i) q^{58} +(-0.759636 + 0.876667i) q^{59} +(2.55755 + 0.750965i) q^{60} +(-0.439695 - 3.05814i) q^{61} +(0.486467 + 0.561412i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-4.73304 + 10.3639i) q^{65} +(-0.288555 + 2.00694i) q^{66} +(-6.29418 + 4.04502i) q^{67} +2.61461 q^{68} +(-4.41627 - 1.86992i) q^{69} -2.66553 q^{70} +(-3.05537 + 1.96357i) q^{71} +(0.142315 - 0.989821i) q^{72} +(2.26415 - 4.95780i) q^{73} +(-6.50752 + 1.91078i) q^{74} +(0.874459 + 1.91480i) q^{75} +(1.07102 + 1.23602i) q^{76} +(-0.288555 - 2.00694i) q^{77} +(4.10126 + 1.20424i) q^{78} +(-4.61584 + 5.32696i) q^{79} +(-2.24238 - 1.44109i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.528852 - 0.610328i) q^{82} +(-2.52297 - 0.740812i) q^{83} +(0.142315 + 0.989821i) q^{84} +(4.56392 + 5.26704i) q^{85} +(3.18221 + 6.96806i) q^{86} +(-8.95614 + 2.62976i) q^{87} +(0.842287 - 1.84435i) q^{88} +(-1.10576 + 7.69071i) q^{89} +(2.24238 - 1.44109i) q^{90} -4.27440 q^{91} +(3.71056 + 3.03838i) q^{92} +0.742855 q^{93} +(-10.7567 + 6.91288i) q^{94} +(-0.620414 + 4.31507i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(-10.9363 + 3.21119i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(1.32778 + 1.53234i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{10}{11}\right)$

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 $

$2$	−0.841254	+	0.540641i	−0.594856	+	0.382291i
$2$	−0.841254	+	0.540641i	−0.594856	+	0.382291i
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	2.55755	−	0.750965i	1.14377	−	0.335842i	0.345665	−	0.938358i	$-0.387653\pi$
$5$	2.55755	−	0.750965i	1.14377	−	0.335842i	0.798107	+	0.602516i	$0.205835\pi$
$6$	−0.415415	−	0.909632i	−0.169592	−	0.371356i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$8$	0.142315	+	0.989821i	0.0503159	+	0.349955i
$9$	−0.959493	−	0.281733i	−0.319831	−	0.0939109i
$10$	−1.74555	+	2.01447i	−0.551991	+	0.637031i
$11$	−1.70571	−	1.09619i	−0.514291	−	0.330515i	0.257619	−	0.966247i	$-0.417062\pi$
$11$	−1.70571	−	1.09619i	−0.514291	−	0.330515i	−0.771910	+	0.635732i	$0.780698\pi$
$12$	0.841254	+	0.540641i	0.242849	+	0.156070i
$13$	−2.79914	+	3.23038i	−0.776342	+	0.895946i	−0.996840	−	0.0794415i	$-0.974686\pi$
$13$	−2.79914	+	3.23038i	−0.776342	+	0.895946i	0.220498	+	0.975387i	$0.429232\pi$
$14$	−0.959493	−	0.281733i	−0.256435	−	0.0752962i
$15$	0.379344	+	2.63839i	0.0979461	+	0.681230i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	1.08615	+	2.37833i	0.263429	+	0.576830i	0.994412	−	0.105566i	$-0.0336654\pi$
$17$	1.08615	+	2.37833i	0.263429	+	0.576830i	−0.730983	+	0.682396i	$0.760938\pi$
$18$	0.959493	−	0.281733i	0.226155	−	0.0664050i
$19$	−0.679408	+	1.48770i	−0.155867	+	0.341301i	−0.971415	−	0.237389i	$-0.923708\pi$
$19$	−0.679408	+	1.48770i	−0.155867	+	0.341301i	0.815548	+	0.578690i	$0.196436\pi$
$20$	0.379344	−	2.63839i	0.0848238	−	0.589963i
$21$	−0.841254	+	0.540641i	−0.183577	+	0.117977i
$22$	2.02758			0.432282
$23$	−1.22238	+	4.63743i	−0.254885	+	0.966971i
$23$	−1.22238	+	4.63743i	−0.254885	+	0.966971i
$24$	−1.00000			−0.204124
$25$	1.77086	−	1.13806i	0.354172	−	0.227612i
$26$	0.608311	−	4.23090i	0.119300	−	0.829747i
$27$	0.415415	−	0.909632i	0.0799467	−	0.175059i
$28$	0.959493	−	0.281733i	0.181327	−	0.0532424i
$29$	3.87758	+	8.49072i	0.720049	+	1.57669i	0.813835	+	0.581096i	$0.197376\pi$
$29$	3.87758	+	8.49072i	0.720049	+	1.57669i	−0.0937861	+	0.995592i	$0.529897\pi$
$30$	−1.74555	−	2.01447i	−0.318692	−	0.367790i
$31$	−0.105719	−	0.735294i	−0.0189877	−	0.132063i	0.978123	−	0.208029i	$-0.0667049\pi$
$31$	−0.105719	−	0.735294i	−0.0189877	−	0.132063i	−0.997110	+	0.0759665i	$0.975796\pi$
$32$	0.959493	+	0.281733i	0.169616	+	0.0498038i
$33$	1.32778	−	1.53234i	0.231137	−	0.266747i
$34$	−2.19955	−	1.41356i	−0.377219	−	0.242424i
$35$	2.24238	+	1.44109i	0.379032	+	0.243589i
$36$	−0.654861	+	0.755750i	−0.109143	+	0.125958i
$37$	6.50752	+	1.91078i	1.06983	+	0.314131i	0.768804	−	0.639485i	$-0.220852\pi$
$37$	6.50752	+	1.91078i	1.06983	+	0.314131i	0.301027	+	0.953616i	$0.402671\pi$
$38$	−0.232755	−	1.61885i	−0.0377578	−	0.262611i
$39$	−2.79914	−	3.23038i	−0.448221	−	0.517275i
$40$	1.10730	+	2.42465i	0.175079	+	0.383370i
$41$	−0.774866	+	0.227521i	−0.121014	+	0.0355329i	−0.341679	−	0.939817i	$-0.610995\pi$
$41$	−0.774866	+	0.227521i	−0.121014	+	0.0355329i	0.220665	+	0.975350i	$0.429177\pi$
$42$	0.415415	−	0.909632i	0.0640999	−	0.140359i
$43$	1.09018	−	7.58234i	0.166250	−	1.15630i	−0.720300	−	0.693663i	$-0.755996\pi$
$43$	1.09018	−	7.58234i	0.166250	−	1.15630i	0.886550	−	0.462633i	$-0.153095\pi$
$44$	−1.70571	+	1.09619i	−0.257145	+	0.165257i
$45$	−2.66553			−0.397353
$46$	−1.47885	−	4.56213i	−0.218045	−	0.672649i
$47$	12.7865			1.86510			0.932548	−	0.361045i	$-0.117580\pi$
$47$	12.7865			1.86510			0.932548	+	0.361045i	$0.117580\pi$
$48$	0.841254	−	0.540641i	0.121424	−	0.0780348i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	−0.874459	+	1.91480i	−0.123667	+	0.270793i
$51$	−2.50870	+	0.736620i	−0.351288	+	0.103147i
$52$	1.77565	+	3.88813i	0.246239	+	0.539187i
$53$	7.66655	+	8.84767i	1.05308	+	1.21532i	0.975881	+	0.218305i	$0.0700527\pi$
$53$	7.66655	+	8.84767i	1.05308	+	1.21532i	0.0772006	+	0.997016i	$0.475402\pi$
$54$	0.142315	+	0.989821i	0.0193666	+	0.134698i
$55$	−5.18564	−	1.52264i	−0.699232	−	0.205313i
$56$	−0.654861	+	0.755750i	−0.0875094	+	0.100991i
$57$	−1.37586	−	0.884214i	−0.182238	−	0.117117i
$58$	−7.85246	−	5.04647i	−1.03108	−	0.662634i
$59$	−0.759636	+	0.876667i	−0.0988962	+	0.114132i	−0.803040	−	0.595925i	$-0.796786\pi$
$59$	−0.759636	+	0.876667i	−0.0988962	+	0.114132i	0.704144	+	0.710057i	$0.251331\pi$
$60$	2.55755	+	0.750965i	0.330179	+	0.0969492i
$61$	−0.439695	−	3.05814i	−0.0562971	−	0.391555i	−0.998415	−	0.0562742i	$-0.982078\pi$
$61$	−0.439695	−	3.05814i	−0.0562971	−	0.391555i	0.942118	−	0.335281i	$-0.108831\pi$
$62$	0.486467	+	0.561412i	0.0617813	+	0.0712994i
$63$	−0.415415	−	0.909632i	−0.0523374	−	0.114603i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	−4.73304	+	10.3639i	−0.587062	+	1.28549i
$66$	−0.288555	+	2.00694i	−0.0355186	+	0.247038i
$67$	−6.29418	+	4.04502i	−0.768956	+	0.494178i	−0.865352	−	0.501165i	$-0.832905\pi$
$67$	−6.29418	+	4.04502i	−0.768956	+	0.494178i	0.0963957	+	0.995343i	$0.469269\pi$
$68$	2.61461			0.317068
$69$	−4.41627	−	1.86992i	−0.531656	−	0.225112i
$70$	−2.66553			−0.318591
$71$	−3.05537	+	1.96357i	−0.362606	+	0.233033i	−0.709239	−	0.704968i	$-0.750961\pi$
$71$	−3.05537	+	1.96357i	−0.362606	+	0.233033i	0.346633	+	0.938001i	$0.387325\pi$
$72$	0.142315	−	0.989821i	0.0167720	−	0.116652i
$73$	2.26415	−	4.95780i	0.264999	−	0.580267i	−0.729622	−	0.683851i	$-0.760304\pi$
$73$	2.26415	−	4.95780i	0.264999	−	0.580267i	0.994621	+	0.103584i	$0.0330311\pi$
$74$	−6.50752	+	1.91078i	−0.756484	+	0.222124i
$75$	0.874459	+	1.91480i	0.100974	+	0.221102i
$76$	1.07102	+	1.23602i	0.122854	+	0.141782i
$77$	−0.288555	−	2.00694i	−0.0328839	−	0.228712i
$78$	4.10126	+	1.20424i	0.464376	+	0.136353i
$79$	−4.61584	+	5.32696i	−0.519322	+	0.599330i	−0.953461	−	0.301516i	$-0.902507\pi$
$79$	−4.61584	+	5.32696i	−0.519322	+	0.599330i	0.434139	+	0.900846i	$0.357053\pi$
$80$	−2.24238	−	1.44109i	−0.250706	−	0.161119i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	0.528852	−	0.610328i	0.0584019	−	0.0673994i
$83$	−2.52297	−	0.740812i	−0.276932	−	0.0813147i	0.140317	−	0.990107i	$-0.455188\pi$
$83$	−2.52297	−	0.740812i	−0.276932	−	0.0813147i	−0.417250	+	0.908792i	$0.637006\pi$
$84$	0.142315	+	0.989821i	0.0155278	+	0.107998i
$85$	4.56392	+	5.26704i	0.495027	+	0.571291i
$86$	3.18221	+	6.96806i	0.343146	+	0.751385i
$87$	−8.95614	+	2.62976i	−0.960199	+	0.281940i
$88$	0.842287	−	1.84435i	0.0897881	−	0.196609i
$89$	−1.10576	+	7.69071i	−0.117210	+	0.815213i	0.843395	+	0.537295i	$0.180554\pi$
$89$	−1.10576	+	7.69071i	−0.117210	+	0.815213i	−0.960605	+	0.277919i	$0.910355\pi$
$90$	2.24238	−	1.44109i	0.236368	−	0.151904i
$91$	−4.27440			−0.448079
$92$	3.71056	+	3.03838i	0.386853	+	0.316773i
$93$	0.742855			0.0770305
$94$	−10.7567	+	6.91288i	−1.10946	+	0.713009i
$95$	−0.620414	+	4.31507i	−0.0636531	+	0.442717i
$96$	−0.415415	+	0.909632i	−0.0423981	+	0.0928389i
$97$	−10.9363	+	3.21119i	−1.11041	+	0.326047i	−0.784982	−	0.619518i	$-0.787328\pi$
$97$	−10.9363	+	3.21119i	−1.11041	+	0.326047i	−0.325432	+	0.945565i	$0.605510\pi$
$98$	−0.415415	−	0.909632i	−0.0419633	−	0.0918867i
$99$	1.32778	+	1.53234i	0.133447	+	0.154006i
$100$	−0.299576	−	2.08360i	−0.0299576	−	0.208360i
$101$	10.6754	+	3.13458i	1.06224	+	0.311902i	0.765754	−	0.643134i	$-0.222366\pi$
$101$	10.6754	+	3.13458i	1.06224	+	0.311902i	0.296489	+	0.955036i	$0.404184\pi$
$102$	1.71220	−	1.97599i	0.169533	−	0.195652i
$103$	1.86822	+	1.20063i	0.184082	+	0.118302i	0.629436	−	0.777052i	$-0.283286\pi$
$103$	1.86822	+	1.20063i	0.184082	+	0.118302i	−0.445354	+	0.895354i	$0.646922\pi$
$104$	−3.59586	−	2.31092i	−0.352603	−	0.226604i
$105$	−1.74555	+	2.01447i	−0.170348	+	0.196592i
$106$	−11.2329	−	3.29828i	−1.09104	−	0.320358i
$107$	−2.25342	−	15.6729i	−0.217846	−	1.51515i	−0.745966	−	0.665984i	$-0.768012\pi$
$107$	−2.25342	−	15.6729i	−0.217846	−	1.51515i	0.528120	−	0.849170i	$-0.322897\pi$
$108$	−0.654861	−	0.755750i	−0.0630140	−	0.0727220i
$109$	−3.08857	−	6.76301i	−0.295831	−	0.647779i	0.702100	−	0.712079i	$-0.252246\pi$
$109$	−3.08857	−	6.76301i	−0.295831	−	0.647779i	−0.997931	+	0.0642993i	$0.979519\pi$
$110$	5.18564	−	1.52264i	0.494432	−	0.145178i
$111$	−2.81745	+	6.16935i	−0.267421	+	0.585569i
$112$	0.142315	−	0.989821i	0.0134475	−	0.0935293i
$113$	−3.97375	+	2.55377i	−0.373819	+	0.240239i	−0.714037	−	0.700108i	$-0.753135\pi$
$113$	−3.97375	+	2.55377i	−0.373819	+	0.240239i	0.340218	+	0.940346i	$0.389499\pi$
$114$	1.63549			0.153178
$115$	0.356241	+	12.7784i	0.0332196	+	1.19160i
$116$	9.33424			0.866663
$117$	3.59586	−	2.31092i	0.332437	−	0.213644i
$118$	0.165085	−	1.14819i	0.0151973	−	0.105699i
$119$	−1.08615	+	2.37833i	−0.0995669	+	0.218021i
$120$	−2.55755	+	0.750965i	−0.233472	+	0.0685534i
$121$	−2.86176	−	6.26638i	−0.260160	−	0.569671i
$122$	2.02325	+	2.33496i	0.183177	+	0.211397i
$123$	−0.114930	−	0.799359i	−0.0103629	−	0.0720758i
$124$	−0.712764	−	0.209286i	−0.0640081	−	0.0187945i
$125$	−5.05332	+	5.83184i	−0.451983	+	0.521616i
$126$	0.841254	+	0.540641i	0.0749448	+	0.0481641i
$127$	−12.2308	−	7.86025i	−1.08531	−	0.697484i	−0.129529	−	0.991576i	$-0.541347\pi$
$127$	−12.2308	−	7.86025i	−1.08531	−	0.697484i	−0.955777	+	0.294091i	$0.904983\pi$
$128$	0.654861	−	0.755750i	0.0578821	−	0.0667995i
$129$	7.35001	+	2.15816i	0.647132	+	0.190015i
$130$	−1.62147	−	11.2776i	−0.142212	−	0.989108i
$131$	−11.2686	−	13.0047i	−0.984543	−	1.13622i	−0.990676	−	0.136242i	$-0.956498\pi$
$131$	−11.2686	−	13.0047i	−0.984543	−	1.13622i	0.00613299	−	0.999981i	$-0.498048\pi$
$132$	−0.842287	−	1.84435i	−0.0733117	−	0.160530i
$133$	−1.56924	+	0.460771i	−0.136071	+	0.0399539i
$134$	3.10809	−	6.80578i	0.268498	−	0.587930i
$135$	0.379344	−	2.63839i	0.0326487	−	0.227077i
$136$	−2.19955	+	1.41356i	−0.188610	+	0.121212i
$137$	19.8068			1.69221			0.846105	−	0.533017i	$-0.178942\pi$
$137$	19.8068			1.69221			0.846105	+	0.533017i	$0.178942\pi$
$138$	4.72615	−	0.814540i	0.402317	−	0.0693383i
$139$	−8.84421			−0.750157			−0.375078	−	0.926993i	$-0.622384\pi$
$139$	−8.84421			−0.750157			−0.375078	+	0.926993i	$0.622384\pi$
$140$	2.24238	−	1.44109i	0.189516	−	0.121794i
$141$	−1.81970	+	12.6563i	−0.153247	+	1.06585i
$142$	1.50876	−	3.30372i	0.126612	−	0.277242i
$143$	8.31564	−	2.44169i	0.695388	−	0.204184i
$144$	0.415415	+	0.909632i	0.0346179	+	0.0758027i
$145$	16.2934	+	18.8035i	1.35309	+	1.56155i
$146$	0.775664	+	5.39486i	0.0641944	+	0.446482i
$147$	−0.959493	−	0.281733i	−0.0791376	−	0.0232369i
$148$	4.44143	−	5.12569i	0.365083	−	0.421329i
$149$	−3.45251	−	2.21879i	−0.282841	−	0.181771i	0.391526	−	0.920167i	$-0.371947\pi$
$149$	−3.45251	−	2.21879i	−0.282841	−	0.181771i	−0.674367	+	0.738396i	$0.735584\pi$
$150$	−1.77086	−	1.13806i	−0.144590	−	0.0929224i
$151$	7.15324	−	8.25528i	0.582122	−	0.671805i	−0.385937	−	0.922525i	$-0.626122\pi$
$151$	7.15324	−	8.25528i	0.582122	−	0.671805i	0.968060	+	0.250720i	$0.0806674\pi$
$152$	−1.56924	−	0.460771i	−0.127282	−	0.0373735i
$153$	−0.372097	−	2.58799i	−0.0300823	−	0.209227i
$154$	1.32778	+	1.53234i	0.106996	+	0.123480i
$155$	−0.822563	−	1.80116i	−0.0660698	−	0.144673i
$156$	−4.10126	+	1.20424i	−0.328364	+	0.0964163i
$157$	7.31208	−	16.0112i	0.583567	−	1.27783i	−0.355685	−	0.934606i	$-0.615752\pi$
$157$	7.31208	−	16.0112i	0.583567	−	1.27783i	0.939252	−	0.343228i	$-0.111520\pi$
$158$	1.00312	−	6.97684i	0.0798038	−	0.555047i
$159$	−9.84867	+	6.32936i	−0.781051	+	0.501951i
$160$	2.66553			0.210728
$161$	−4.30523	+	2.11306i	−0.339300	+	0.166532i
$162$	−1.00000			−0.0785674
$163$	−1.43850	+	0.924469i	−0.112672	+	0.0724100i	−0.595763	−	0.803160i	$-0.703150\pi$
$163$	−1.43850	+	0.924469i	−0.112672	+	0.0724100i	0.483091	+	0.875570i	$0.339514\pi$
$164$	−0.114930	+	0.799359i	−0.00897456	+	0.0624195i
$165$	2.24514	−	4.91617i	0.174784	−	0.382723i
$166$	2.52297	−	0.740812i	0.195821	−	0.0574982i
$167$	−4.20487	−	9.20738i	−0.325382	−	0.712488i	0.674280	−	0.738476i	$-0.264454\pi$
$167$	−4.20487	−	9.20738i	−0.325382	−	0.712488i	−0.999662	+	0.0259878i	$0.991727\pi$
$168$	−0.654861	−	0.755750i	−0.0505236	−	0.0583073i
$169$	−0.750074	−	5.21688i	−0.0576980	−	0.401299i
$170$	−6.68699	−	1.96348i	−0.512869	−	0.150592i
$171$	1.07102	−	1.23602i	0.0819029	−	0.0945210i
$172$	−6.44426	−	4.14147i	−0.491370	−	0.315784i
$173$	9.61494	+	6.17915i	0.731010	+	0.469792i	0.852451	−	0.522807i	$-0.175115\pi$
$173$	9.61494	+	6.17915i	0.731010	+	0.469792i	−0.121441	+	0.992599i	$0.538751\pi$
$174$	6.11263	−	7.05435i	0.463397	−	0.534789i
$175$	2.01976	+	0.593054i	0.152679	+	0.0448307i
$176$	0.288555	+	2.00694i	0.0217506	+	0.151279i
$177$	−0.759636	−	0.876667i	−0.0570978	−	0.0658943i
$178$	−3.22769	−	7.06765i	−0.241925	−	0.529743i
$179$	16.9359	−	4.97283i	1.26585	−	0.371687i	0.421180	−	0.906977i	$-0.361616\pi$
$179$	16.9359	−	4.97283i	1.26585	−	0.371687i	0.844668	+	0.535290i	$0.179798\pi$
$180$	−1.10730	+	2.42465i	−0.0825332	+	0.180723i
$181$	−1.47619	+	10.2671i	−0.109725	+	0.763151i	0.858454	+	0.512890i	$0.171425\pi$
$181$	−1.47619	+	10.2671i	−0.109725	+	0.763151i	−0.968179	+	0.250260i	$0.919484\pi$
$182$	3.59586	−	2.31092i	0.266543	−	0.171297i
$183$	3.08959			0.228389
$184$	−4.76419	−	0.549966i	−0.351221	−	0.0405440i
$185$	18.0783			1.32914
$186$	−0.624929	+	0.401618i	−0.0458220	+	0.0294480i
$187$	0.754457	−	5.24737i	0.0551714	−	0.383725i
$188$	5.31169	−	11.6310i	0.387395	−	0.848276i
$189$	0.959493	−	0.281733i	0.0697928	−	0.0204930i
$190$	−1.81098	−	3.96549i	−0.131382	−	0.287687i
$191$	16.9058	+	19.5103i	1.22326	+	1.41172i	0.881670	+	0.471867i	$0.156420\pi$
$191$	16.9058	+	19.5103i	1.22326	+	1.41172i	0.341590	+	0.939849i	$0.389035\pi$
$192$	−0.142315	−	0.989821i	−0.0102707	−	0.0714342i
$193$	22.8359	+	6.70522i	1.64376	+	0.482652i	0.967260	−	0.253788i	$-0.0816766\pi$
$193$	22.8359	+	6.70522i	1.64376	+	0.482652i	0.676503	+	0.736440i	$0.263495\pi$
$194$	7.46411	−	8.61404i	0.535892	−	0.618452i
$195$	−9.58485	−	6.15981i	−0.686385	−	0.441113i
$196$	0.841254	+	0.540641i	0.0600895	+	0.0386172i
$197$	2.19179	−	2.52946i	0.156159	−	0.180217i	−0.672279	−	0.740298i	$-0.734685\pi$
$197$	2.19179	−	2.52946i	0.156159	−	0.180217i	0.828438	+	0.560081i	$0.189230\pi$
$198$	−1.94545	−	0.571235i	−0.138257	−	0.0405959i
$199$	−1.82522	−	12.6947i	−0.129386	−	0.899902i	−0.946334	−	0.323190i	$-0.895245\pi$
$199$	−1.82522	−	12.6947i	−0.129386	−	0.899902i	0.816948	−	0.576712i	$-0.195664\pi$
$200$	1.37850	+	1.59087i	0.0974745	+	0.112492i
$201$	−3.10809	−	6.80578i	−0.219228	−	0.480043i
$202$	−10.6754	+	3.13458i	−0.751119	+	0.220548i
$203$	−3.87758	+	8.49072i	−0.272153	+	0.595932i
$204$	−0.372097	+	2.58799i	−0.0260520	+	0.181196i
$205$	−1.81090	+	1.16380i	−0.126479	+	0.0812830i
$206$	−2.22076			−0.154728
$207$	2.47938	−	4.10520i	0.172329	−	0.285331i
$208$	4.27440			0.296377
$209$	2.78967	−	1.79281i	0.192966	−	0.124012i
$210$	0.379344	−	2.63839i	0.0261772	−	0.182066i
$211$	5.22094	−	11.4323i	0.359425	−	0.787030i	−0.640395	−	0.768046i	$-0.721229\pi$
$211$	5.22094	−	11.4323i	0.359425	−	0.787030i	0.999820	−	0.0189845i	$-0.00604331\pi$
$212$	11.2329	−	3.29828i	0.771480	−	0.226527i
$213$	−1.50876	−	3.30372i	−0.103378	−	0.226367i
$214$	10.3691	+	11.9666i	0.708817	+	0.818018i
$215$	−2.90589	−	20.2109i	−0.198180	−	1.37837i
$216$	0.959493	+	0.281733i	0.0652852	+	0.0191695i
$217$	0.486467	−	0.561412i	0.0330235	−	0.0381112i
$218$	6.25463	+	4.01961i	0.423617	+	0.272242i
$219$	4.58512	+	2.94667i	0.309833	+	0.199118i
$220$	−3.53924	+	4.08450i	−0.238615	+	0.275377i
$221$	−10.7232	−	3.14861i	−0.721319	−	0.211798i
$222$	−0.965215	−	6.71322i	−0.0647810	−	0.450562i
$223$	1.21651	+	1.40392i	0.0814632	+	0.0940136i	0.795018	−	0.606586i	$-0.207461\pi$
$223$	1.21651	+	1.40392i	0.0814632	+	0.0940136i	−0.713555	+	0.700600i	$0.752916\pi$
$224$	0.415415	+	0.909632i	0.0277561	+	0.0607773i
$225$	−2.01976	+	0.593054i	−0.134650	+	0.0395369i
$226$	1.96226	−	4.29674i	0.130527	−	0.285815i
$227$	−1.58912	+	11.0526i	−0.105473	+	0.733584i	0.866616	+	0.498975i	$0.166290\pi$
$227$	−1.58912	+	11.0526i	−0.105473	+	0.733584i	−0.972090	+	0.234609i	$0.924619\pi$
$228$	−1.37586	+	0.884214i	−0.0911188	+	0.0585585i
$229$	2.57030			0.169850			0.0849251	−	0.996387i	$-0.472935\pi$
$229$	2.57030			0.169850			0.0849251	+	0.996387i	$0.472935\pi$
$230$	−7.20824	−	10.5573i	−0.475297	−	0.696129i
$231$	2.02758			0.133405
$232$	−7.85246	+	5.04647i	−0.515539	+	0.331317i
$233$	3.22803	−	22.4515i	0.211475	−	1.47084i	−0.556758	−	0.830675i	$-0.687955\pi$
$233$	3.22803	−	22.4515i	0.211475	−	1.47084i	0.768234	−	0.640170i	$-0.221136\pi$
$234$	−1.77565	+	3.88813i	−0.116078	+	0.254175i
$235$	32.7020	−	9.60219i	2.13325	−	0.626378i
$236$	0.481880	+	1.05517i	0.0313677	+	0.0686857i
$237$	−4.61584	−	5.32696i	−0.299831	−	0.346023i
$238$	−0.372097	−	2.58799i	−0.0241195	−	0.167755i
$239$	−16.6555	−	4.89050i	−1.07735	−	0.316340i	−0.305535	−	0.952181i	$-0.598835\pi$
$239$	−16.6555	−	4.89050i	−1.07735	−	0.316340i	−0.771820	+	0.635841i	$0.780653\pi$
$240$	1.74555	−	2.01447i	0.112675	−	0.130033i
$241$	−24.1029	−	15.4900i	−1.55260	−	0.997797i	−0.984611	−	0.174762i	$-0.944084\pi$
$241$	−24.1029	−	15.4900i	−1.55260	−	0.997797i	−0.567991	−	0.823034i	$-0.692279\pi$
$242$	5.79533	+	3.72443i	0.372538	+	0.239415i
$243$	−0.654861	+	0.755750i	−0.0420093	+	0.0484814i
$244$	−2.96444	−	0.870438i	−0.189779	−	0.0557241i
$245$	0.379344	+	2.63839i	0.0242354	+	0.168561i
$246$	0.528852	+	0.610328i	0.0337184	+	0.0389131i
$247$	−2.90406	−	6.35901i	−0.184781	−	0.404614i
$248$	0.712764	−	0.209286i	0.0452606	−	0.0132897i
$249$	1.09233	−	2.39187i	0.0692235	−	0.151578i
$250$	1.09819	−	7.63809i	0.0694557	−	0.483075i
$251$	0.861489	−	0.553645i	0.0543767	−	0.0349458i	−0.513170	−	0.858287i	$-0.671529\pi$
$251$	0.861489	−	0.553645i	0.0543767	−	0.0349458i	0.567547	+	0.823341i	$0.307893\pi$
$252$	−1.00000			−0.0629941
$253$	7.16855	−	6.57014i	0.450683	−	0.413061i
$254$	14.5388			0.912243
$255$	−5.86295	+	3.76789i	−0.367152	+	0.235954i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−2.42207	+	5.30358i	−0.151084	+	0.330828i	−0.970008	−	0.243074i	$-0.921844\pi$
$257$	−2.42207	+	5.30358i	−0.151084	+	0.330828i	0.818923	+	0.573903i	$0.194571\pi$
$258$	−7.35001	+	2.15816i	−0.457592	+	0.134361i
$259$	2.81745	+	6.16935i	0.175068	+	0.383345i
$260$	7.46118	+	8.61066i	0.462722	+	0.534010i
$261$	−1.32840	−	9.23923i	−0.0822260	−	0.571894i
$262$	16.5106	+	4.84795i	1.02003	+	0.299507i
$263$	−9.88792	+	11.4113i	−0.609715	+	0.703649i	−0.973720	−	0.227748i	$-0.926864\pi$
$263$	−9.88792	+	11.4113i	−0.609715	+	0.703649i	0.364005	+	0.931397i	$0.381409\pi$
$264$	1.70571	+	1.09619i	0.104979	+	0.0674660i
$265$	26.2519	+	16.8711i	1.61264	+	1.03638i
$266$	1.07102	−	1.23602i	0.0656684	−	0.0757854i
$267$	−7.45506	−	2.18900i	−0.456242	−	0.133965i
$268$	1.06479	+	7.40575i	0.0650421	+	0.452378i
$269$	−11.9223	−	13.7591i	−0.726916	−	0.838906i	0.265205	−	0.964192i	$-0.414560\pi$
$269$	−11.9223	−	13.7591i	−0.726916	−	0.838906i	−0.992121	+	0.125286i	$0.960015\pi$
$270$	1.10730	+	2.42465i	0.0673881	+	0.147559i
$271$	−11.7789	+	3.45861i	−0.715519	+	0.210095i	−0.619175	−	0.785253i	$-0.712533\pi$
$271$	−11.7789	+	3.45861i	−0.715519	+	0.210095i	−0.0963438	+	0.995348i	$0.530715\pi$
$272$	1.08615	−	2.37833i	0.0658573	−	0.144207i
$273$	0.608311	−	4.23090i	0.0368167	−	0.256066i
$274$	−16.6625	+	10.7084i	−1.00662	+	0.646916i
$275$	−4.26811			−0.257377
$276$	−3.53552	+	3.24039i	−0.212813	+	0.195048i
$277$	9.04846			0.543669			0.271835	−	0.962344i	$-0.412370\pi$
$277$	9.04846			0.543669			0.271835	+	0.962344i	$0.412370\pi$
$278$	7.44023	−	4.78154i	0.446235	−	0.286778i
$279$	−0.105719	+	0.735294i	−0.00632925	+	0.0440209i
$280$	−1.10730	+	2.42465i	−0.0661738	+	0.144900i
$281$	−16.0441	+	4.71096i	−0.957109	+	0.281033i	−0.722744	−	0.691116i	$-0.757119\pi$
$281$	−16.0441	+	4.71096i	−0.957109	+	0.281033i	−0.234365	+	0.972149i	$0.575301\pi$
$282$	−5.31169	−	11.6310i	−0.316306	−	0.692614i
$283$	1.75114	+	2.02092i	0.104094	+	0.120131i	0.805406	−	0.592724i	$-0.201947\pi$
$283$	1.75114	+	2.02092i	0.104094	+	0.120131i	−0.701312	+	0.712855i	$0.747402\pi$
$284$	0.516877	+	3.59496i	0.0306710	+	0.213322i
$285$	−4.18286	−	1.22820i	−0.247771	−	0.0727522i
$286$	−5.67548	+	6.54985i	−0.335598	+	0.387301i
$287$	−0.679379	−	0.436610i	−0.0401025	−	0.0257723i
$288$	−0.841254	−	0.540641i	−0.0495713	−	0.0318576i
$289$	6.65590	−	7.68131i	0.391523	−	0.451842i
$290$	−23.8728	−	7.00969i	−1.40186	−	0.411623i
$291$	−1.62211	−	11.2820i	−0.0950895	−	0.661362i
$292$	−3.56921	−	4.11909i	−0.208872	−	0.241051i
$293$	−10.3375	−	22.6360i	−0.603923	−	1.32241i	−0.926654	−	0.375916i	$-0.877328\pi$
$293$	−10.3375	−	22.6360i	−0.603923	−	1.32241i	0.322731	−	0.946491i	$-0.395399\pi$
$294$	0.959493	−	0.281733i	0.0559588	−	0.0164310i
$295$	−1.28446	+	2.81258i	−0.0747843	+	0.163755i
$296$	−0.965215	+	6.71322i	−0.0561020	+	0.390198i
$297$	−1.70571	+	1.09619i	−0.0989753	+	0.0636076i
$298$	4.10401			0.237739
$299$	−11.5590	−	16.9296i	−0.668477	−	0.979063i
$300$	2.10502			0.121534
$301$	6.44426	−	4.14147i	0.371441	−	0.238711i
$302$	−1.55455	+	10.8121i	−0.0894542	+	0.622167i
$303$	−4.62194	+	10.1206i	−0.265524	+	0.581416i
$304$	1.56924	−	0.460771i	0.0900023	−	0.0264271i
$305$	−3.42110	−	7.49117i	−0.195892	−	0.428943i
$306$	1.71220	+	1.97599i	0.0978801	+	0.112960i
$307$	1.85256	+	12.8848i	0.105731	+	0.735376i	0.971861	+	0.235557i	$0.0756913\pi$
$307$	1.85256	+	12.8848i	0.105731	+	0.735376i	−0.866130	+	0.499820i	$0.833400\pi$
$308$	−1.94545	−	0.571235i	−0.110852	−	0.0325492i
$309$	−1.45429	+	1.67834i	−0.0827317	+	0.0954774i
$310$	1.66577	+	1.07052i	0.0946091	+	0.0608016i
$311$	2.54181	+	1.63352i	0.144133	+	0.0926286i	0.610720	−	0.791847i	$-0.290880\pi$
$311$	2.54181	+	1.63352i	0.144133	+	0.0926286i	−0.466587	+	0.884475i	$0.654517\pi$
$312$	2.79914	−	3.23038i	0.158470	−	0.182884i
$313$	0.282353	+	0.0829062i	0.0159595	+	0.00468614i	0.289703	−	0.957117i	$-0.406444\pi$
$313$	0.282353	+	0.0829062i	0.0159595	+	0.00468614i	−0.273743	+	0.961803i	$0.588262\pi$
$314$	2.50501	+	17.4227i	0.141366	+	0.983220i
$315$	−1.74555	−	2.01447i	−0.0983505	−	0.113502i
$316$	2.92809	+	6.41161i	0.164718	+	0.360681i
$317$	3.31023	−	0.971970i	0.185921	−	0.0545913i	−0.187447	−	0.982275i	$-0.560021\pi$
$317$	3.31023	−	0.971970i	0.185921	−	0.0545913i	0.373368	+	0.927683i	$0.378203\pi$
$318$	4.86332	−	10.6492i	0.272722	−	0.597177i
$319$	2.69344	−	18.7333i	0.150804	−	1.04886i
$320$	−2.24238	+	1.44109i	−0.125353	+	0.0805595i
$321$	15.8340			0.883770
$322$	2.47938	−	4.10520i	0.138171	−	0.228774i
$323$	−4.27617			−0.237932
$324$	0.841254	−	0.540641i	0.0467363	−	0.0300356i
$325$	−1.28051	+	8.90614i	−0.0710299	+	0.494024i
$326$	0.710339	−	1.55543i	0.0393420	−	0.0861470i
$327$	7.13373	−	2.09465i	0.394496	−	0.115834i
$328$	−0.335480	−	0.734600i	−0.0185238	−	0.0405615i
$329$	8.37335	+	9.66336i	0.461638	+	0.532758i
$330$	0.769150	+	5.34956i	0.0423403	+	0.294483i
$331$	15.6408	+	4.59255i	0.859695	+	0.252429i	0.681727	−	0.731607i	$-0.261229\pi$
$331$	15.6408	+	4.59255i	0.859695	+	0.252429i	0.177969	+	0.984036i	$0.443047\pi$
$332$	−1.72195	+	1.98723i	−0.0945041	+	0.109064i
$333$	−5.70559	−	3.66676i	−0.312665	−	0.200937i
$334$	8.51524	+	5.47241i	0.465933	+	0.299437i
$335$	−13.0600	+	15.0721i	−0.713545	+	0.823475i
$336$	0.959493	+	0.281733i	0.0523446	+	0.0153698i
$337$	−3.42863	−	23.8467i	−0.186770	−	1.29901i	−0.840305	−	0.542115i	$-0.817624\pi$
$337$	−3.42863	−	23.8467i	−0.186770	−	1.29901i	0.653535	−	0.756896i	$-0.273285\pi$
$338$	3.45146	+	3.98320i	0.187735	+	0.216657i
$339$	−1.96226	−	4.29674i	−0.106575	−	0.233367i
$340$	6.68699	−	1.96348i	0.362653	−	0.106485i
$341$	−0.625697	+	1.37009i	−0.0338834	+	0.0741943i
$342$	−0.232755	+	1.61885i	−0.0125859	+	0.0875371i
$343$	−0.841254	+	0.540641i	−0.0454234	+	0.0291919i
$344$	7.66031			0.413016
$345$	−12.6991	−	1.46595i	−0.683695	−	0.0789240i
$346$	−11.4293			−0.614443
$347$	24.5444	−	15.7737i	1.31761	−	0.846778i	0.322601	−	0.946535i	$-0.395443\pi$
$347$	24.5444	−	15.7737i	1.31761	−	0.846778i	0.995012	+	0.0997571i	$0.0318066\pi$
$348$	−1.32840	+	9.23923i	−0.0712098	+	0.495275i
$349$	−14.6457	+	32.0696i	−0.783966	+	1.71665i	−0.0908003	+	0.995869i	$0.528942\pi$
$349$	−14.6457	+	32.0696i	−0.783966	+	1.71665i	−0.693166	+	0.720778i	$0.743785\pi$
$350$	−2.01976	+	0.593054i	−0.107961	+	0.0317001i
$351$	1.77565	+	3.88813i	0.0947773	+	0.207533i
$352$	−1.32778	−	1.53234i	−0.0707711	−	0.0816742i
$353$	1.04028	+	7.23528i	0.0553683	+	0.385095i	0.998597	+	0.0529514i	$0.0168628\pi$
$353$	1.04028	+	7.23528i	0.0553683	+	0.385095i	−0.943229	+	0.332144i	$0.892228\pi$
$354$	1.11301	+	0.326809i	0.0591557	+	0.0173697i
$355$	−6.33970	+	7.31641i	−0.336476	+	0.388315i
$356$	6.53637	+	4.20067i	0.346427	+	0.222635i
$357$	−2.19955	−	1.41356i	−0.116412	−	0.0748137i
$358$	−11.5589	+	13.3396i	−0.610905	+	0.705022i
$359$	−10.3324	−	3.03385i	−0.545321	−	0.160121i	−0.00254278	−	0.999997i	$-0.500809\pi$
$359$	−10.3324	−	3.03385i	−0.545321	−	0.160121i	−0.542778	+	0.839876i	$0.682628\pi$
$360$	−0.379344	−	2.63839i	−0.0199932	−	0.139056i
$361$	10.6907	+	12.3377i	0.562669	+	0.649355i
$362$	−4.30899	−	9.43536i	−0.226475	−	0.495912i
$363$	6.60987	−	1.94083i	0.346928	−	0.101867i
$364$	−1.77565	+	3.88813i	−0.0930694	+	0.203794i
$365$	2.06755	−	14.3801i	0.108221	−	0.752691i
$366$	−2.59913	+	1.67036i	−0.135859	+	0.0873110i
$367$	−9.24904			−0.482796			−0.241398	−	0.970426i	$-0.577606\pi$
$367$	−9.24904			−0.482796			−0.241398	+	0.970426i	$0.577606\pi$
$368$	4.30523	−	2.11306i	0.224426	−	0.110151i
$369$	0.807579			0.0420409
$370$	−15.2084	+	9.77385i	−0.790647	+	0.508118i
$371$	−1.66610	+	11.5880i	−0.0864996	+	0.601618i
$372$	0.308593	−	0.675725i	0.0159998	−	0.0350347i
$373$	4.62102	−	1.35685i	0.239268	−	0.0702553i	−0.159900	−	0.987133i	$-0.551117\pi$
$373$	4.62102	−	1.35685i	0.239268	−	0.0702553i	0.399168	+	0.916878i	$0.369299\pi$
$374$	2.20225	+	4.82225i	0.113876	+	0.249353i
$375$	−5.05332	−	5.83184i	−0.260952	−	0.301155i
$376$	1.81970	+	12.6563i	0.0938440	+	0.652699i
$377$	−38.2822	−	11.2407i	−1.97163	−	0.578923i
$378$	−0.654861	+	0.755750i	−0.0336824	+	0.0388716i
$379$	12.2697	+	7.88523i	0.630250	+	0.405037i	0.816402	−	0.577484i	$-0.195965\pi$
$379$	12.2697	+	7.88523i	0.630250	+	0.405037i	−0.186152	+	0.982521i	$0.559602\pi$
$380$	3.66740	+	2.35689i	0.188134	+	0.120906i
$381$	9.52086	−	10.9877i	0.487769	−	0.562915i
$382$	−24.7701	−	7.27316i	−1.26735	−	0.372127i
$383$	0.0537198	+	0.373629i	0.00274495	+	0.0190916i	0.991148	−	0.132762i	$-0.0423847\pi$
$383$	0.0537198	+	0.373629i	0.00274495	+	0.0190916i	−0.988403	+	0.151854i	$0.951476\pi$
$384$	0.654861	+	0.755750i	0.0334182	+	0.0385667i
$385$	−2.24514	−	4.91617i	−0.114423	−	0.250551i
$386$	−22.8359	+	6.70522i	−1.16232	+	0.341287i
$387$	−3.18221	+	6.96806i	−0.161761	+	0.354206i
$388$	−1.62211	+	11.2820i	−0.0823500	+	0.572756i
$389$	11.7313	−	7.53927i	0.594802	−	0.382256i	−0.208329	−	0.978059i	$-0.566802\pi$
$389$	11.7313	−	7.53927i	0.594802	−	0.382256i	0.803131	+	0.595803i	$0.203166\pi$
$390$	11.3935			0.576934
$391$	−12.3570	+	2.12970i	−0.624922	+	0.107704i
$392$	−1.00000			−0.0505076
$393$	14.4760	−	9.30315i	0.730217	−	0.469282i
$394$	−0.476322	+	3.31289i	−0.0239968	+	0.166901i
$395$	−7.80489	+	17.0903i	−0.392707	+	0.859907i
$396$	1.94545	−	0.571235i	0.0977625	−	0.0287057i
$397$	−0.566416	−	1.24028i	−0.0284276	−	0.0622478i	0.894886	−	0.446296i	$-0.147257\pi$
$397$	−0.566416	−	1.24028i	−0.0284276	−	0.0622478i	−0.923313	+	0.384048i	$0.874530\pi$
$398$	8.39873	+	9.69265i	0.420990	+	0.485849i
$399$	−0.232755	−	1.61885i	−0.0116523	−	0.0810436i
$400$	−2.01976	−	0.593054i	−0.100988	−	0.0296527i
$401$	18.4758	−	21.3222i	0.922636	−	1.06478i	−0.0750768	−	0.997178i	$-0.523920\pi$
$401$	18.4758	−	21.3222i	0.922636	−	1.06478i	0.997712	−	0.0676006i	$-0.0215344\pi$
$402$	6.29418	+	4.04502i	0.313925	+	0.201747i
$403$	2.67120	+	1.71668i	0.133062	+	0.0855137i
$404$	7.28604	−	8.40854i	0.362494	−	0.418340i
$405$	2.55755	+	0.750965i	0.127086	+	0.0373158i
$406$	−1.32840	−	9.23923i	−0.0659274	−	0.458535i
$407$	−9.00536	−	10.3927i	−0.446379	−	0.515149i
$408$	−1.08615	−	2.37833i	−0.0537723	−	0.117745i
$409$	18.2450	−	5.35721i	0.902156	−	0.264897i	0.202420	−	0.979299i	$-0.435119\pi$
$409$	18.2450	−	5.35721i	0.902156	−	0.264897i	0.699735	+	0.714402i	$0.253301\pi$
$410$	0.894232	−	1.95809i	0.0441630	−	0.0967034i
$411$	−2.81880	+	19.6052i	−0.139041	+	0.967053i
$412$	1.86822	−	1.20063i	0.0920408	−	0.0591510i
$413$	−1.16000			−0.0570797
$414$	0.133648	+	4.79397i	0.00656842	+	0.235611i
$415$	−7.00896			−0.344056
$416$	−3.59586	+	2.31092i	−0.176301	+	0.113302i
$417$	1.25866	−	8.75419i	0.0616370	−	0.428695i
$418$	−1.37755	+	3.01642i	−0.0673784	+	0.147538i
$419$	−15.5988	+	4.58022i	−0.762050	+	0.223758i	−0.639591	−	0.768715i	$-0.720896\pi$
$419$	−15.5988	+	4.58022i	−0.762050	+	0.223758i	−0.122459	+	0.992474i	$0.539078\pi$
$420$	1.10730	+	2.42465i	0.0540307	+	0.118311i
$421$	9.48055	+	10.9411i	0.462054	+	0.533239i	0.938184	−	0.346136i	$-0.112506\pi$
$421$	9.48055	+	10.9411i	0.462054	+	0.533239i	−0.476130	+	0.879375i	$0.657961\pi$
$422$	1.78862	+	12.4401i	0.0870684	+	0.605574i
$423$	−12.2685	−	3.60236i	−0.596516	−	0.175153i
$424$	−7.66655	+	8.84767i	−0.372320	+	0.429681i
$425$	4.63010	+	2.97558i	0.224593	+	0.144337i
$426$	3.05537	+	1.96357i	0.148033	+	0.0951352i
$427$	2.02325	−	2.33496i	0.0979120	−	0.112996i
$428$	−15.1927	−	4.46097i	−0.734365	−	0.215629i
$429$	1.23340	+	8.57848i	0.0595491	+	0.414173i
$430$	13.3714	+	15.4315i	0.644828	+	0.744171i
$431$	8.22484	+	18.0099i	0.396176	+	0.867506i	0.997644	+	0.0686080i	$0.0218558\pi$
$431$	8.22484	+	18.0099i	0.396176	+	0.867506i	−0.601467	+	0.798897i	$0.705417\pi$
$432$	−0.959493	+	0.281733i	−0.0461636	+	0.0135549i
$433$	−5.75018	+	12.5911i	−0.276336	+	0.605092i	−0.996012	−	0.0892182i	$-0.971563\pi$
$433$	−5.75018	+	12.5911i	−0.276336	+	0.605092i	0.719676	+	0.694310i	$0.244290\pi$
$434$	−0.105719	+	0.735294i	−0.00507469	+	0.0352952i
$435$	−20.9309	+	13.4515i	−1.00356	+	0.644950i
$436$	−7.43489			−0.356067
$437$	−6.06859	−	4.96924i	−0.290300	−	0.237711i
$438$	−5.45034			−0.260427
$439$	34.7108	−	22.3072i	1.65665	−	1.06467i	0.733915	−	0.679242i	$-0.237691\pi$
$439$	34.7108	−	22.3072i	1.65665	−	1.06467i	0.922739	−	0.385425i	$-0.125945\pi$
$440$	0.769150	−	5.34956i	0.0366678	−	0.255030i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	10.7232	−	3.14861i	0.510050	−	0.149764i
$443$	2.88497	+	6.31721i	0.137069	+	0.300140i	0.965702	−	0.259653i	$-0.0836081\pi$
$443$	2.88497	+	6.31721i	0.137069	+	0.300140i	−0.828633	+	0.559793i	$0.810881\pi$
$444$	4.44143	+	5.12569i	0.210781	+	0.243254i
$445$	2.94742	+	20.4998i	0.139721	+	0.971783i
$446$	−1.78241	−	0.523362i	−0.0843994	−	0.0247819i
$447$	2.68755	−	3.10160i	0.127117	−	0.146701i
$448$	−0.841254	−	0.540641i	−0.0397455	−	0.0255429i
$449$	−12.3173	−	7.91582i	−0.581287	−	0.373571i	0.216706	−	0.976237i	$-0.430469\pi$
$449$	−12.3173	−	7.91582i	−0.581287	−	0.373571i	−0.797993	+	0.602666i	$0.794105\pi$
$450$	1.37850	−	1.59087i	0.0649830	−	0.0749944i
$451$	1.57110	+	0.461318i	0.0739804	+	0.0217226i
$452$	0.672239	+	4.67553i	0.0316195	+	0.219918i
$453$	7.15324	+	8.25528i	0.336088	+	0.387867i
$454$	−4.63861	−	10.1571i	−0.217701	−	0.476699i
$455$	−10.9320	+	3.20993i	−0.512501	+	0.150484i
$456$	0.679408	−	1.48770i	0.0318162	−	0.0696678i
$457$	3.75091	−	26.0881i	0.175460	−	1.22035i	−0.691649	−	0.722234i	$-0.743116\pi$
$457$	3.75091	−	26.0881i	0.175460	−	1.22035i	0.867109	−	0.498118i	$-0.165975\pi$
$458$	−2.16227	+	1.38961i	−0.101036	+	0.0649322i
$459$	2.61461			0.122039
$460$	11.7717	+	4.98431i	0.548857	+	0.232395i
$461$	20.7032			0.964243			0.482122	−	0.876104i	$-0.339866\pi$
$461$	20.7032			0.964243			0.482122	+	0.876104i	$0.339866\pi$
$462$	−1.70571	+	1.09619i	−0.0793568	+	0.0509995i
$463$	1.43464	−	9.97817i	0.0666736	−	0.463725i	−0.928945	−	0.370218i	$-0.879283\pi$
$463$	1.43464	−	9.97817i	0.0666736	−	0.463725i	0.995619	−	0.0935071i	$-0.0298078\pi$
$464$	3.87758	−	8.49072i	0.180012	−	0.394172i
$465$	1.89989	−	0.557858i	0.0881053	−	0.0258701i
$466$	9.42258	+	20.6326i	0.436493	+	0.955786i
$467$	−16.4129	−	18.9415i	−0.759499	−	0.876508i	0.235954	−	0.971764i	$-0.424179\pi$
$467$	−16.4129	−	18.9415i	−0.759499	−	0.876508i	−0.995453	+	0.0952560i	$0.969633\pi$
$468$	−0.608311	−	4.23090i	−0.0281192	−	0.195573i
$469$	−7.17883	−	2.10790i	−0.331488	−	0.0973336i
$470$	−22.3194	+	25.7579i	−1.02952	+	1.18812i
$471$	14.8076	+	9.51628i	0.682299	+	0.438487i
$472$	−0.975851	−	0.627142i	−0.0449172	−	0.0288665i
$473$	−10.1712	+	11.7382i	−0.467673	+	0.539724i
$474$	6.76306	+	1.98581i	0.310638	+	0.0912115i
$475$	0.489955	+	3.40771i	0.0224807	+	0.156356i
$476$	1.71220	+	1.97599i	0.0784787	+	0.0905692i
$477$	−4.86332	−	10.6492i	−0.222676	−	0.487593i
$478$	16.6555	−	4.89050i	0.761805	−	0.223686i
$479$	−9.37951	+	20.5383i	−0.428561	+	0.938417i	0.564997	+	0.825093i	$0.308877\pi$
$479$	−9.37951	+	20.5383i	−0.428561	+	0.938417i	−0.993558	+	0.113324i	$0.963850\pi$
$480$	−0.379344	+	2.63839i	−0.0173146	+	0.120426i
$481$	−24.3880	+	15.6732i	−1.11200	+	0.714638i
$482$	28.6511			1.30502
$483$	−1.47885	−	4.56213i	−0.0672901	−	0.207584i
$484$	−6.88892			−0.313133
$485$	−25.5587	+	16.4256i	−1.16056	+	0.745847i
$486$	0.142315	−	0.989821i	0.00645553	−	0.0448992i
$487$	5.60848	−	12.2809i	0.254145	−	0.556499i	−0.738957	−	0.673752i	$-0.764682\pi$
$487$	5.60848	−	12.2809i	0.254145	−	0.556499i	0.993102	+	0.117253i	$0.0374088\pi$
$488$	2.96444	−	0.870438i	0.134194	−	0.0394029i
$489$	−0.710339	−	1.55543i	−0.0321226	−	0.0703388i
$490$	−1.74555	−	2.01447i	−0.0788558	−	0.0910045i
$491$	−4.68444	−	32.5810i	−0.211406	−	1.47036i	−0.768467	−	0.639889i	$-0.778980\pi$
$491$	−4.68444	−	32.5810i	−0.211406	−	1.47036i	0.557062	−	0.830471i	$-0.311929\pi$
$492$	−0.774866	−	0.227521i	−0.0349337	−	0.0102575i
$493$	−15.9821	+	18.4443i	−0.719798	+	0.830692i
$494$	5.88100	+	3.77949i	0.264599	+	0.170047i
$495$	4.54661	+	2.92193i	0.204355	+	0.131331i
$496$	−0.486467	+	0.561412i	−0.0218430	+	0.0252082i
$497$	−3.48481	−	1.02323i	−0.156315	−	0.0458982i
$498$	0.374215	+	2.60272i	0.0167690	+	0.116631i
$499$	2.60822	+	3.01004i	0.116760	+	0.134748i	0.811120	−	0.584879i	$-0.198858\pi$
$499$	2.60822	+	3.01004i	0.116760	+	0.134748i	−0.694361	+	0.719627i	$0.744313\pi$
$500$	3.20560	+	7.01929i	0.143359	+	0.313912i
$501$	9.71207	−	2.85172i	0.433903	−	0.127406i
$502$	−0.425407	+	0.931512i	−0.0189869	+	0.0415754i
$503$	−1.50346	+	10.4568i	−0.0670357	+	0.466244i	0.928460	+	0.371433i	$0.121134\pi$
$503$	−1.50346	+	10.4568i	−0.0670357	+	0.466244i	−0.995495	+	0.0948105i	$0.969775\pi$
$504$	0.841254	−	0.540641i	0.0374724	−	0.0240821i
$505$	29.6569			1.31971
$506$	−2.47848	+	9.40277i	−0.110182	+	0.418004i
$507$	5.27053			0.234072
$508$	−12.2308	+	7.86025i	−0.542653	+	0.348742i
$509$	−1.11438	+	7.75066i	−0.0493939	+	0.343542i	0.950106	+	0.311926i	$0.100974\pi$
$509$	−1.11438	+	7.75066i	−0.0493939	+	0.343542i	−0.999500	+	0.0316154i	$0.989935\pi$
$510$	2.89515	−	6.33950i	0.128199	−	0.280718i
$511$	5.22956	−	1.53554i	0.231342	−	0.0679282i
$512$	−0.415415	−	0.909632i	−0.0183589	−	0.0402004i
$513$	1.07102	+	1.23602i	0.0472867	+	0.0545717i
$514$	−0.829763	−	5.77113i	−0.0365993	−	0.254553i
$515$	5.67972	+	1.66772i	0.250278	+	0.0734883i
$516$	5.01643	−	5.78927i	0.220836	−	0.254859i
$517$	−21.8100	−	14.0164i	−0.959202	−	0.616442i
$518$	−5.70559	−	3.66676i	−0.250689	−	0.161108i
$519$	−7.48460	+	8.63769i	−0.328538	+	0.379153i
$520$	−10.9320	−	3.20993i	−0.479400	−	0.140765i
$521$	5.19664	+	36.1435i	0.227669	+	1.58347i	0.707888	+	0.706325i	$0.249648\pi$
$521$	5.19664	+	36.1435i	0.227669	+	1.58347i	−0.480219	+	0.877149i	$0.659443\pi$
$522$	6.11263	+	7.05435i	0.267542	+	0.308760i
$523$	0.949331	+	2.07875i	0.0415114	+	0.0908972i	0.929252	−	0.369448i	$-0.120453\pi$
$523$	0.949331	+	2.07875i	0.0415114	+	0.0908972i	−0.887740	+	0.460345i	$0.847726\pi$
$524$	−16.5106	+	4.84795i	−0.721269	+	0.211784i
$525$	−0.874459	+	1.91480i	−0.0381645	+	0.0835686i
$526$	2.14885	−	14.9456i	0.0936943	−	0.651658i
$527$	1.63394	−	1.05007i	0.0711757	−	0.0457419i
$528$	−2.02758			−0.0882391
$529$	−20.0116	−	11.3374i	−0.870068	−	0.492932i
$530$	−31.2057			−1.35549
$531$	0.975851	−	0.627142i	0.0423483	−	0.0272156i
$532$	−0.232755	+	1.61885i	−0.0100912	+	0.0701858i
$533$	1.43398	−	3.13998i	0.0621125	−	0.136007i
$534$	7.45506	−	2.18900i	0.322612	−	0.0947275i
$535$	−17.5330	−	38.3920i	−0.758019	−	1.65983i
$536$	−4.89960	−	5.65444i	−0.211631	−	0.244235i
$537$	2.51198	+	17.4712i	0.108400	+	0.753939i
$538$	17.4684	+	5.12919i	0.753116	+	0.221135i
$539$	1.32778	−	1.53234i	0.0571917	−	0.0660027i
$540$	−2.24238	−	1.44109i	−0.0964968	−	0.0620147i
$541$	22.8435	+	14.6806i	0.982117	+	0.631168i	0.930034	−	0.367474i	$-0.119777\pi$
$541$	22.8435	+	14.6806i	0.982117	+	0.631168i	0.0520835	+	0.998643i	$0.483414\pi$
$542$	8.03920	−	9.27774i	0.345313	−	0.398513i
$543$	−9.95256	−	2.92233i	−0.427105	−	0.125409i
$544$	0.372097	+	2.58799i	0.0159535	+	0.110959i
$545$	−12.9780	−	14.9774i	−0.555915	−	0.641560i
$546$	1.77565	+	3.88813i	0.0759909	+	0.166397i
$547$	−19.5157	+	5.73033i	−0.834432	+	0.245011i	−0.670920	−	0.741530i	$-0.734100\pi$
$547$	−19.5157	+	5.73033i	−0.834432	+	0.245011i	−0.163512	+	0.986541i	$0.552282\pi$
$548$	8.22804	−	18.0169i	0.351485	−	0.769644i
$549$	−0.439695	+	3.05814i	−0.0187657	+	0.130518i
$550$	3.59056	−	2.30751i	0.153102	−	0.0983927i
$551$	−15.2661			−0.650357
$552$	1.22238	−	4.63743i	0.0520281	−	0.197382i
$553$	−7.04858			−0.299736
$554$	−7.61205	+	4.89197i	−0.323405	+	0.207840i
$555$	−2.57281	+	17.8943i	−0.109210	+	0.759569i
$556$	−3.67402	+	8.04498i	−0.155813	+	0.341183i
$557$	15.3616	−	4.51058i	0.650893	−	0.191119i	0.0604153	−	0.998173i	$-0.480757\pi$
$557$	15.3616	−	4.51058i	0.650893	−	0.191119i	0.590478	+	0.807054i	$0.298939\pi$
$558$	−0.308593	−	0.675725i	−0.0130638	−	0.0286057i
$559$	21.4423	+	24.7457i	0.906911	+	1.04663i
$560$	−0.379344	−	2.63839i	−0.0160302	−	0.111492i
$561$	5.08658	+	1.49356i	0.214756	+	0.0630580i
$562$	10.9502	−	12.6372i	0.461906	−	0.533068i
$563$	25.1770	+	16.1803i	1.06109	+	0.681918i	0.950113	−	0.311905i	$-0.100967\pi$
$563$	25.1770	+	16.1803i	1.06109	+	0.681918i	0.110972	+	0.993824i	$0.464604\pi$
$564$	10.7567	+	6.91288i	0.452937	+	0.291085i
$565$	−8.24528	+	9.51556i	−0.346881	+	0.400323i
$566$	−2.56574	−	0.753369i	−0.107846	−	0.0316665i
$567$	0.142315	+	0.989821i	0.00597666	+	0.0415686i
$568$	−2.37841	−	2.74483i	−0.0997957	−	0.115170i
$569$	18.8547	+	41.2860i	0.790430	+	1.73080i	0.675417	+	0.737436i	$0.263963\pi$
$569$	18.8547	+	41.2860i	0.790430	+	1.73080i	0.115012	+	0.993364i	$0.463309\pi$
$570$	4.18286	−	1.22820i	0.175201	−	0.0514435i
$571$	−4.94495	+	10.8279i	−0.206940	+	0.453135i	−0.984434	−	0.175755i	$-0.943763\pi$
$571$	−4.94495	+	10.8279i	−0.206940	+	0.453135i	0.777494	+	0.628890i	$0.216491\pi$
$572$	1.23340	−	8.57848i	0.0515710	−	0.358684i
$573$	−21.7177	+	13.9571i	−0.907269	+	0.583066i
$574$	0.807579			0.0337077
$575$	3.11302	+	9.60339i	0.129822	+	0.400489i
$576$	1.00000			0.0416667
$577$	−29.1930	+	18.7612i	−1.21532	+	0.781039i	−0.981541	−	0.191251i	$-0.938746\pi$
$577$	−29.1930	+	18.7612i	−1.21532	+	0.781039i	−0.233779	+	0.972290i	$0.575109\pi$
$578$	−1.44646	+	10.0604i	−0.0601650	+	0.418457i
$579$	−9.88685	+	21.6492i	−0.410884	+	0.899710i
$580$	23.8728	−	7.00969i	0.991265	−	0.291062i
$581$	−1.09233	−	2.39187i	−0.0453174	−	0.0992313i
$582$	7.46411	+	8.61404i	0.309397	+	0.357063i
$583$	−3.37815	−	23.4956i	−0.139909	−	0.973087i
$584$	5.22956	+	1.53554i	0.216401	+	0.0635410i
$585$	7.46118	−	8.61066i	0.308482	−	0.356007i
$586$	20.9344	+	13.4537i	0.864791	+	0.555768i
$587$	20.8799	+	13.4187i	0.861804	+	0.553848i	0.895236	−	0.445593i	$-0.147007\pi$
$587$	20.8799	+	13.4187i	0.861804	+	0.553848i	−0.0334313	+	0.999441i	$0.510644\pi$
$588$	−0.654861	+	0.755750i	−0.0270060	+	0.0311666i
$589$	1.16572	+	0.342286i	0.0480327	+	0.0141037i
$590$	−0.440037	−	3.06053i	−0.0181161	−	0.126000i
$591$	2.19179	+	2.52946i	0.0901583	+	0.104048i
$592$	−2.81745	−	6.16935i	−0.115796	−	0.253559i
$593$	26.4450	−	7.76497i	1.08597	−	0.318869i	0.310704	−	0.950507i	$-0.399435\pi$
$593$	26.4450	−	7.76497i	1.08597	−	0.318869i	0.775264	+	0.631638i	$0.217617\pi$
$594$	0.842287	−	1.84435i	0.0345595	−	0.0756747i
$595$	−0.991835	+	6.89836i	−0.0406613	+	0.282805i
$596$	−3.45251	+	2.21879i	−0.141420	+	0.0908854i
$597$	12.8252			0.524901
$598$	18.8769	+	7.99278i	0.771934	+	0.326849i
$599$	0.563083			0.0230069			0.0115035	−	0.999934i	$-0.496338\pi$
$599$	0.563083			0.0230069			0.0115035	+	0.999934i	$0.496338\pi$
$600$	−1.77086	+	1.13806i	−0.0722950	+	0.0464612i
$601$	−5.85862	+	40.7476i	−0.238978	+	1.66213i	0.418172	+	0.908368i	$0.362671\pi$
$601$	−5.85862	+	40.7476i	−0.238978	+	1.66213i	−0.657150	+	0.753760i	$0.728238\pi$
$602$	−3.18221	+	6.96806i	−0.129697	+	0.283997i
$603$	7.17883	−	2.10790i	0.292345	−	0.0858401i
$604$	−4.53770	−	9.93618i	−0.184636	−	0.404297i
$605$	−12.0249	−	13.8775i	−0.488883	−	0.564201i
$606$	−1.58341	−	11.0128i	−0.0643215	−	0.447366i
$607$	−12.7122	−	3.73263i	−0.515971	−	0.151503i	0.0133719	−	0.999911i	$-0.495743\pi$
$607$	−12.7122	−	3.73263i	−0.515971	−	0.151503i	−0.529343	+	0.848408i	$0.677562\pi$
$608$	−1.07102	+	1.23602i	−0.0434356	+	0.0501273i
$609$	−7.85246	−	5.04647i	−0.318198	−	0.204493i
$610$	6.92804	+	4.45238i	0.280508	+	0.180272i
$611$	−35.7911	+	41.3051i	−1.44795	+	1.67103i
$612$	−2.50870	−	0.736620i	−0.101408	−	0.0297761i
$613$	−3.95990	−	27.5417i	−0.159939	−	1.11240i	−0.898742	−	0.438478i	$-0.855518\pi$
$613$	−3.95990	−	27.5417i	−0.159939	−	1.11240i	0.738803	−	0.673921i	$-0.235391\pi$
$614$	−8.52454	−	9.83784i	−0.344022	−	0.397023i
$615$	−0.894232	−	1.95809i	−0.0360589	−	0.0789580i
$616$	1.94545	−	0.571235i	0.0783844	−	0.0230157i
$617$	16.8583	−	36.9145i	0.678690	−	1.48612i	−0.185336	−	0.982675i	$-0.559337\pi$
$617$	16.8583	−	36.9145i	0.678690	−	1.48612i	0.864025	−	0.503448i	$-0.167936\pi$
$618$	0.316047	−	2.19816i	0.0127133	−	0.0884229i
$619$	−20.1151	+	12.9272i	−0.808494	+	0.519587i	−0.878377	−	0.477968i	$-0.841374\pi$
$619$	−20.1151	+	12.9272i	−0.808494	+	0.519587i	0.0698835	+	0.997555i	$0.477737\pi$
$620$	−1.98010			−0.0795227
$621$	3.71056	+	3.03838i	0.148900	+	0.121926i
$622$	−3.02146			−0.121149
$623$	−6.53637	+	4.20067i	−0.261874	+	0.168296i
$624$	−0.608311	+	4.23090i	−0.0243519	+	0.169371i
$625$	−12.9169	+	28.2841i	−0.516676	+	1.13136i
$626$	−0.282353	+	0.0829062i	−0.0112851	+	0.00331360i
$627$	1.37755	+	3.01642i	0.0550142	+	0.120464i
$628$	−11.5268	−	13.3026i	−0.459968	−	0.530831i
$629$	2.52366	+	17.5524i	0.100625	+	0.699861i
$630$	2.55755	+	0.750965i	0.101895	+	0.0299192i
$631$	8.76397	−	10.1142i	0.348888	−	0.402638i	−0.553998	−	0.832518i	$-0.686899\pi$
$631$	8.76397	−	10.1142i	0.348888	−	0.402638i	0.902886	+	0.429880i	$0.141444\pi$
$632$	−5.92964	−	3.81075i	−0.235869	−	0.151584i
$633$	10.5729	+	6.79478i	0.420235	+	0.270068i
$634$	−2.25925	+	2.60732i	−0.0897264	+	0.103550i
$635$	−37.1837	−	10.9181i	−1.47559	−	0.433272i
$636$	1.66610	+	11.5880i	0.0660652	+	0.459493i
$637$	−2.79914	−	3.23038i	−0.110906	−	0.127992i
$638$	7.86211	+	17.2156i	0.311264	+	0.681573i
$639$	3.48481	−	1.02323i	0.137857	−	0.0404784i
$640$	1.10730	−	2.42465i	0.0437698	−	0.0958426i
$641$	−0.0502518	+	0.349509i	−0.00198483	+	0.0138048i	−0.990790	−	0.135409i	$-0.956765\pi$
$641$	−0.0502518	+	0.349509i	−0.00198483	+	0.0138048i	0.988805	+	0.149214i	$0.0476743\pi$
$642$	−13.3204	+	8.56053i	−0.525716	+	0.337857i
$643$	36.4277			1.43657			0.718284	−	0.695750i	$-0.244928\pi$
$643$	36.4277			1.43657			0.718284	+	0.695750i	$0.244928\pi$
$644$	0.133648	+	4.79397i	0.00526645	+	0.188909i
$645$	20.4187			0.803987
$646$	3.59734	−	2.31187i	0.141536	−	0.0909594i
$647$	3.23567	−	22.5046i	0.127207	−	0.884747i	−0.821864	−	0.569684i	$-0.807065\pi$
$647$	3.23567	−	22.5046i	0.127207	−	0.884747i	0.949071	−	0.315063i	$-0.102025\pi$
$648$	−0.415415	+	0.909632i	−0.0163190	+	0.0357337i
$649$	2.25671	−	0.662631i	0.0885838	−	0.0260105i
$650$	−3.73779	−	8.18462i	−0.146608	−	0.321027i
$651$	0.486467	+	0.561412i	0.0190661	+	0.0220035i
$652$	0.243351	+	1.69255i	0.00953037	+	0.0662852i
$653$	13.1164	+	3.85133i	0.513285	+	0.150714i	0.528110	−	0.849176i	$-0.322901\pi$
$653$	13.1164	+	3.85133i	0.513285	+	0.150714i	−0.0148248	+	0.999890i	$0.504719\pi$
$654$	−4.86882	+	5.61892i	−0.190386	+	0.219717i
$655$	−38.5861	−	24.7978i	−1.50768	−	0.968930i
$656$	0.679379	+	0.436610i	0.0265253	+	0.0170468i
$657$	−3.56921	+	4.11909i	−0.139248	+	0.160701i
$658$	−12.2685	−	3.60236i	−0.478277	−	0.140435i
$659$	−5.29436	−	36.8231i	−0.206239	−	1.43442i	−0.785288	−	0.619130i	$-0.787485\pi$
$659$	−5.29436	−	36.8231i	−0.206239	−	1.43442i	0.579050	−	0.815292i	$-0.303424\pi$
$660$	−3.53924	−	4.08450i	−0.137765	−	0.158989i
$661$	−7.33692	−	16.0656i	−0.285373	−	0.624880i	0.711604	−	0.702581i	$-0.247969\pi$
$661$	−7.33692	−	16.0656i	−0.285373	−	0.624880i	−0.996977	+	0.0777013i	$0.975242\pi$
$662$	−15.6408	+	4.59255i	−0.607897	+	0.178495i
$663$	4.64263	−	10.1659i	0.180305	−	0.394812i
$664$	0.374215	−	2.60272i	0.0145224	−	0.101005i
$665$	−3.66740	+	2.35689i	−0.142216	+	0.0913964i
$666$	6.78225			0.262807
$667$	−44.1151	+	7.60311i	−1.70814	+	0.294394i
$668$	−10.1221			−0.391635
$669$	−1.56276	+	1.00432i	−0.0604197	+	0.0388294i
$670$	2.83821	−	19.7402i	0.109650	−	0.762631i
$671$	−2.60232	+	5.69829i	−0.100462	+	0.219980i
$672$	−0.959493	+	0.281733i	−0.0370132	+	0.0108681i
$673$	11.8828	+	26.0197i	0.458048	+	1.00298i	0.987928	+	0.154912i	$0.0495095\pi$
$673$	11.8828	+	26.0197i	0.458048	+	1.00298i	−0.529881	+	0.848072i	$0.677763\pi$
$674$	15.7768	+	18.2074i	0.607701	+	0.701324i
$675$	−0.299576	−	2.08360i	−0.0115307	−	0.0801977i
$676$	−5.05703	−	1.48488i	−0.194501	−	0.0571107i
$677$	24.0818	−	27.7918i	0.925538	−	1.06813i	−0.0719585	−	0.997408i	$-0.522925\pi$
$677$	24.0818	−	27.7918i	0.925538	−	1.06813i	0.997496	−	0.0707198i	$-0.0225296\pi$
$678$	3.97375	+	2.55377i	0.152611	+	0.0980771i
$679$	−9.58862	−	6.16223i	−0.367977	−	0.236485i
$680$	−4.56392	+	5.26704i	−0.175018	+	0.201982i
$681$	−10.7139	−	3.14589i	−0.410558	−	0.120551i
$682$	−0.214354	−	1.49087i	−0.00820805	−	0.0570883i
$683$	−23.2762	−	26.8622i	−0.890639	−	1.02785i	−0.999429	−	0.0337879i	$-0.989243\pi$
$683$	−23.2762	−	26.8622i	−0.890639	−	1.02785i	0.108790	−	0.994065i	$-0.465303\pi$
$684$	−0.679408	−	1.48770i	−0.0259778	−	0.0568835i
$685$	50.6569	−	14.8742i	1.93550	−	0.568315i
$686$	0.415415	−	0.909632i	0.0158606	−	0.0347299i
$687$	−0.365792	+	2.54414i	−0.0139558	+	0.0970649i
$688$	−6.44426	+	4.14147i	−0.245685	+	0.157892i
$689$	−50.0410			−1.90641
$690$	11.4757	−	5.63241i	0.436872	−	0.214422i
$691$	40.5056			1.54090			0.770452	−	0.637498i	$-0.220030\pi$
$691$	40.5056			1.54090			0.770452	+	0.637498i	$0.220030\pi$
$692$	9.61494	−	6.17915i	0.365505	−	0.234896i
$693$	−0.288555	+	2.00694i	−0.0109613	+	0.0762374i
$694$	−12.1201	+	26.5394i	−0.460074	+	1.00742i
$695$	−22.6195	+	6.64170i	−0.858008	+	0.251934i
$696$	−3.87758	−	8.49072i	−0.146979	−	0.321840i
$697$	−1.38274	−	1.59577i	−0.0523750	−	0.0604440i
$698$	−5.01739	−	34.8967i	−0.189911	−	1.32086i
$699$	21.7635	+	6.39035i	0.823173	+	0.241705i
$700$	1.37850	−	1.59087i	0.0521023	−	0.0601293i
$701$	−11.9330	−	7.66886i	−0.450703	−	0.289649i	0.295531	−	0.955333i	$-0.404503\pi$
$701$	−11.9330	−	7.66886i	−0.450703	−	0.289649i	−0.746234	+	0.665684i	$0.768140\pi$
$702$	−3.59586	−	2.31092i	−0.135717	−	0.0872199i
$703$	−7.26393	+	8.38302i	−0.273964	+	0.316172i
$704$	1.94545	+	0.571235i	0.0733219	+	0.0215292i
$705$	4.85046	+	33.7357i	0.182679	+	1.27056i
$706$	−4.78683	−	5.52429i	−0.180155	−	0.207909i
$707$	4.62194	+	10.1206i	0.173826	+	0.380626i
$708$	−1.11301	+	0.326809i	−0.0418294	+	0.0122822i
$709$	15.6531	−	34.2754i	0.587863	−	1.28724i	−0.348862	−	0.937174i	$-0.613432\pi$
$709$	15.6531	−	34.2754i	0.587863	−	1.28724i	0.936725	−	0.350066i	$-0.113841\pi$
$710$	1.37775	−	9.58245i	0.0517060	−	0.359623i
$711$	5.92964	−	3.81075i	0.222379	−	0.142914i
$712$	−7.76979			−0.291185
$713$	3.53910	+	0.408545i	0.132541	+	0.0153001i
$714$	2.61461			0.0978492
$715$	19.4341	−	12.4895i	0.726792	−	0.467081i
$716$	2.51198	−	17.4712i	0.0938772	−	0.652930i
$717$	7.21104	−	15.7900i	0.269301	−	0.589688i
$718$	10.3324	−	3.03385i	0.385600	−	0.113222i
$719$	1.33382	+	2.92067i	0.0497432	+	0.108922i	0.932872	−	0.360209i	$-0.117294\pi$
$719$	1.33382	+	2.92067i	0.0497432	+	0.108922i	−0.883129	+	0.469131i	$0.844567\pi$
$720$	1.74555	+	2.01447i	0.0650527	+	0.0750748i
$721$	0.316047	+	2.19816i	0.0117702	+	0.0818637i
$722$	−15.6639	−	4.59933i	−0.582949	−	0.171169i
$723$	18.7625	−	21.6531i	0.697785	−	0.805287i
$724$	8.72609	+	5.60792i	0.324303	+	0.208417i
$725$	16.5296	+	10.6229i	0.613895	+	0.394526i
$726$	−4.51128	+	5.20630i	−0.167429	+	0.193224i
$727$	−23.9458	−	7.03112i	−0.888100	−	0.260770i	−0.194304	−	0.980941i	$-0.562245\pi$
$727$	−23.9458	−	7.03112i	−0.888100	−	0.260770i	−0.693796	+	0.720172i	$0.744063\pi$
$728$	−0.608311	−	4.23090i	−0.0225455	−	0.156807i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	6.03515	+	13.2151i	0.223371	+	0.489114i
$731$	19.2174	−	5.64273i	0.710781	−	0.208704i
$732$	1.28346	−	2.81039i	0.0474381	−	0.103875i
$733$	−1.17493	+	8.17184i	−0.0433972	+	0.301834i	0.956550	+	0.291568i	$0.0941769\pi$
$733$	−1.17493	+	8.17184i	−0.0433972	+	0.301834i	−0.999947	+	0.0102660i	$0.996732\pi$
$734$	7.78079	−	5.00041i	0.287194	−	0.184568i
$735$	−2.66553			−0.0983194
$736$	−2.47938	+	4.10520i	−0.0913913	+	0.151320i
$737$	15.1702			0.558800
$738$	−0.679379	+	0.436610i	−0.0250083	+	0.0160718i
$739$	−3.16672	+	22.0250i	−0.116490	+	0.810204i	0.844882	+	0.534952i	$0.179670\pi$
$739$	−3.16672	+	22.0250i	−0.116490	+	0.810204i	−0.961372	+	0.275252i	$0.911239\pi$
$740$	7.50998	−	16.4446i	0.276072	−	0.604514i
$741$	6.70758	−	1.96952i	0.246409	−	0.0723522i
$742$	−4.86332	−	10.6492i	−0.178538	−	0.390944i
$743$	29.2081	+	33.7080i	1.07154	+	1.23663i	0.970336	+	0.241760i	$0.0777246\pi$
$743$	29.2081	+	33.7080i	1.07154	+	1.23663i	0.101206	+	0.994866i	$0.467730\pi$
$744$	0.105719	+	0.735294i	0.00387586	+	0.0269572i
$745$	−10.4962	−	3.08197i	−0.384552	−	0.112915i
$746$	−3.15388	+	3.63977i	−0.115472	+	0.133262i
$747$	2.21206	+	1.42161i	0.0809352	+	0.0520139i
$748$	−4.45976	−	2.86611i	−0.163065	−	0.104795i
$749$	10.3691	−	11.9666i	0.378878	−	0.437249i
$750$	7.40405	+	2.17403i	0.270358	+	0.0793842i
$751$	−7.10681	−	49.4290i	−0.259331	−	1.80369i	−0.537616	−	0.843190i	$-0.680675\pi$
$751$	−7.10681	−	49.4290i	−0.259331	−	1.80369i	0.278285	−	0.960499i	$-0.410234\pi$
$752$	−8.37335	−	9.66336i	−0.305345	−	0.352387i
$753$	0.425407	+	0.931512i	0.0155027	+	0.0339462i
$754$	38.2822	−	11.2407i	1.39415	−	0.409360i
$755$	12.0954	−	26.4851i	0.440195	−	0.963893i
$756$	0.142315	−	0.989821i	0.00517594	−	0.0359995i
$757$	34.1287	−	21.9332i	1.24043	−	0.797175i	0.254947	−	0.966955i	$-0.417942\pi$
$757$	34.1287	−	21.9332i	1.24043	−	0.797175i	0.985482	+	0.169780i	$0.0543057\pi$
$758$	−14.5850			−0.529750
$759$	5.48308	+	8.03061i	0.199023	+	0.291493i
$760$	−4.35945			−0.158134
$761$	10.3009	−	6.61997i	0.373406	−	0.239974i	−0.340455	−	0.940261i	$-0.610581\pi$
$761$	10.3009	−	6.61997i	0.373406	−	0.239974i	0.713861	+	0.700287i	$0.246945\pi$
$762$	−2.06908	+	14.3908i	−0.0749549	+	0.521323i
$763$	3.08857	−	6.76301i	0.111814	−	0.244838i
$764$	24.7701	−	7.27316i	0.896151	−	0.263134i
$765$	−2.89515	−	6.33950i	−0.104674	−	0.229205i
$766$	−0.247191	−	0.285274i	−0.00893138	−	0.0103074i
$767$	−0.705639	−	4.90783i	−0.0254791	−	0.177211i
$768$	−0.959493	−	0.281733i	−0.0346227	−	0.0101661i
$769$	−6.15193	+	7.09971i	−0.221844	+	0.256022i	−0.855751	−	0.517387i	$-0.826905\pi$
$769$	−6.15193	+	7.09971i	−0.221844	+	0.256022i	0.633907	+	0.773409i	$0.281450\pi$
$770$	4.54661	+	2.92193i	0.163848	+	0.105299i
$771$	−4.90490	−	3.15219i	−0.176646	−	0.113523i
$772$	15.5856	−	17.9868i	0.560940	−	0.647359i
$773$	−19.8847	−	5.83867i	−0.715202	−	0.210002i	−0.0961666	−	0.995365i	$-0.530658\pi$
$773$	−19.8847	−	5.83867i	−0.715202	−	0.210002i	−0.619036	+	0.785363i	$0.712476\pi$
$774$	−1.09018	−	7.58234i	−0.0391855	−	0.272541i
$775$	−1.02402	−	1.18179i	−0.0367840	−	0.0424510i
$776$	−4.73490	−	10.3680i	−0.169973	−	0.372189i
$777$	−6.50752	+	1.91078i	−0.233456	+	0.0685489i
$778$	−5.79299	+	12.6849i	−0.207689	+	0.454775i
$779$	0.187968	−	1.30735i	0.00673465	−	0.0468405i
$780$	−9.58485	+	6.15981i	−0.343193	+	0.220557i
$781$	7.36402			0.263506
$782$	9.24399	−	8.47233i	0.330564	−	0.302970i
$783$	9.33424			0.333579
$784$	0.841254	−	0.540641i	0.0300448	−	0.0193086i
$785$	6.67716	−	46.4406i	0.238318	−	1.65754i
$786$	−7.14831	+	15.6526i	−0.254972	+	0.558310i
$787$	1.39641	−	0.410022i	0.0497766	−	0.0146157i	−0.256749	−	0.966478i	$-0.582652\pi$
$787$	1.39641	−	0.410022i	0.0497766	−	0.0146157i	0.306526	+	0.951862i	$0.400833\pi$
$788$	−1.39038	−	3.04450i	−0.0495302	−	0.108456i
$789$	−9.88792	−	11.4113i	−0.352019	−	0.406252i
$790$	−2.67384	−	18.5969i	−0.0951308	−	0.661649i
$791$	−4.53227	−	1.33079i	−0.161149	−	0.0473176i
$792$	−1.32778	+	1.53234i	−0.0471807	+	0.0544494i
$793$	11.1097	+	7.13979i	0.394518	+	0.253541i
$794$	1.14704	+	0.737160i	0.0407071	+	0.0261608i
$795$	−20.4354	+	23.5837i	−0.724768	+	0.836427i
$796$	−12.3057	−	3.61328i	−0.436164	−	0.128069i
$797$	−4.63521	−	32.2386i	−0.164187	−	1.14195i	−0.890632	−	0.454724i	$-0.849738\pi$
$797$	−4.63521	−	32.2386i	−0.164187	−	1.14195i	0.726445	−	0.687225i	$-0.241171\pi$
$798$	1.07102	+	1.23602i	0.0379137	+	0.0437547i
$799$	13.8880	+	30.4104i	0.491321	+	1.07584i
$800$	2.01976	−	0.593054i	0.0714092	−	0.0209676i
$801$	3.22769	−	7.06765i	0.114045	−	0.249723i
$802$	−4.01517	+	27.9261i	−0.141780	+	0.986105i
$803$	−9.29669	+	5.97462i	−0.328073	+	0.210840i
$804$	−7.48190			−0.263866
$805$	−9.42402	+	8.63733i	−0.332153	+	0.304426i
$806$	−3.17526			−0.111844
$807$	15.3157	−	9.84283i	0.539140	−	0.346484i
$808$	−1.58341	+	11.0128i	−0.0557041	+	0.387430i
$809$	−0.869413	+	1.90375i	−0.0305669	+	0.0669323i	−0.924300	−	0.381668i	$-0.875350\pi$
$809$	−0.869413	+	1.90375i	−0.0305669	+	0.0669323i	0.893733	+	0.448600i	$0.148077\pi$
$810$	−2.55755	+	0.750965i	−0.0898632	+	0.0263862i
$811$	−5.27333	−	11.5470i	−0.185172	−	0.405469i	0.794166	−	0.607701i	$-0.207908\pi$
$811$	−5.27333	−	11.5470i	−0.185172	−	0.405469i	−0.979338	+	0.202231i	$0.935181\pi$
$812$	6.11263	+	7.05435i	0.214511	+	0.247559i
$813$	−1.74709	−	12.1513i	−0.0612730	−	0.426163i
$814$	13.1945	+	3.87426i	0.462468	+	0.135793i
$815$	−2.98480	+	3.44464i	−0.104553	+	0.120661i
$816$	2.19955	+	1.41356i	0.0769995	+	0.0494846i
$817$	10.5395	+	6.77335i	0.368732	+	0.236969i
$818$	−12.4523	+	14.3707i	−0.435385	+	0.502461i
$819$	4.10126	+	1.20424i	0.143310	+	0.0420795i
$820$	0.306350	+	2.13071i	0.0106982	+	0.0744077i
$821$	−36.3377	−	41.9359i	−1.26819	−	1.46357i	−0.822896	−	0.568193i	$-0.807643\pi$
$821$	−36.3377	−	41.9359i	−1.26819	−	1.46357i	−0.445299	−	0.895382i	$-0.646903\pi$
$822$	−8.22804	−	18.0169i	−0.286986	−	0.628412i
$823$	−25.5958	+	7.51560i	−0.892213	+	0.261977i	−0.695536	−	0.718491i	$-0.744833\pi$
$823$	−25.5958	+	7.51560i	−0.892213	+	0.261977i	−0.196677	+	0.980468i	$0.563015\pi$
$824$	−0.922538	+	2.02008i	−0.0321381	+	0.0703727i
$825$	0.607415	−	4.22466i	0.0211475	−	0.147084i
$826$	0.975851	−	0.627142i	0.0339542	−	0.0218210i
$827$	23.6006			0.820675			0.410337	−	0.911934i	$-0.365411\pi$
$827$	23.6006			0.820675			0.410337	+	0.911934i	$0.365411\pi$
$828$	−2.70425	−	3.96069i	−0.0939791	−	0.137643i
$829$	16.8641			0.585713			0.292857	−	0.956156i	$-0.405394\pi$
$829$	16.8641			0.585713			0.292857	+	0.956156i	$0.405394\pi$
$830$	5.89631	−	3.78933i	0.204664	−	0.131530i
$831$	−1.28773	+	8.95636i	−0.0446709	+	0.310693i
$832$	1.77565	−	3.88813i	0.0615596	−	0.134797i
$833$	−2.50870	+	0.736620i	−0.0869212	+	0.0255224i
$834$	3.67402	+	8.04498i	0.127221	+	0.278575i
$835$	−17.6686	−	20.3906i	−0.611447	−	0.705647i
$836$	−0.471929	−	3.28234i	−0.0163220	−	0.113522i
$837$	−0.712764	−	0.209286i	−0.0246367	−	0.00723400i
$838$	10.6463	−	12.2865i	0.367770	−	0.424429i
$839$	−17.4389	−	11.2073i	−0.602059	−	0.386920i	0.203813	−	0.979010i	$-0.434667\pi$
$839$	−17.4389	−	11.2073i	−0.602059	−	0.386920i	−0.805872	+	0.592090i	$0.798303\pi$
$840$	−2.24238	−	1.44109i	−0.0773695	−	0.0497224i
$841$	−38.0658	+	43.9303i	−1.31261	+	1.51484i
$842$	−13.8908	−	4.07870i	−0.478708	−	0.140561i
$843$	−2.37970	−	16.5512i	−0.0819614	−	0.570054i
$844$	−8.23030	−	9.49827i	−0.283299	−	0.326944i
$845$	−5.83605	−	12.7792i	−0.200766	−	0.439617i
$846$	12.2685	−	3.60236i	0.421800	−	0.123852i
$847$	2.86176	−	6.26638i	0.0983312	−	0.215315i
$848$	1.66610	−	11.5880i	0.0572141	−	0.397933i
$849$	−2.24956	+	1.44570i	−0.0772047	+	0.0496164i
$850$	−5.50381			−0.188779
$851$	−16.8158	+	27.8425i	−0.576439	+	0.954429i
$852$	−3.63193			−0.124428
$853$	0.876966	−	0.563592i	0.0300267	−	0.0192970i	−0.525541	−	0.850768i	$-0.676137\pi$
$853$	0.876966	−	0.563592i	0.0300267	−	0.0192970i	0.555568	+	0.831471i	$0.312501\pi$
$854$	−0.439695	+	3.05814i	−0.0150460	+	0.104647i
$855$	1.81098	−	3.96549i	0.0619342	−	0.135617i
$856$	15.1927	−	4.46097i	0.519274	−	0.152473i
$857$	−9.37953	−	20.5383i	−0.320399	−	0.701575i	0.679073	−	0.734071i	$-0.262382\pi$
$857$	−9.37953	−	20.5383i	−0.320399	−	0.701575i	−0.999472	+	0.0324953i	$0.989655\pi$
$858$	−5.67548	−	6.54985i	−0.193758	−	0.223608i
$859$	−4.93251	−	34.3063i	−0.168295	−	1.17052i	−0.882407	−	0.470486i	$-0.844079\pi$
$859$	−4.93251	−	34.3063i	−0.168295	−	1.17052i	0.714113	−	0.700031i	$-0.246830\pi$
$860$	−19.5916	−	5.75262i	−0.668069	−	0.196163i
$861$	0.528852	−	0.610328i	0.0180232	−	0.0207999i
$862$	−16.6561	−	10.7042i	−0.567307	−	0.364586i
$863$	44.1289	+	28.3599i	1.50217	+	0.965383i	0.994601	+	0.103770i	$0.0330905\pi$
$863$	44.1289	+	28.3599i	1.50217	+	0.965383i	0.507564	+	0.861614i	$0.330546\pi$
$864$	0.654861	−	0.755750i	0.0222788	−	0.0257111i
$865$	29.2310	+	8.58301i	0.993885	+	0.291831i
$866$	−1.96993	−	13.7011i	−0.0669408	−	0.465583i
$867$	6.65590	+	7.68131i	0.226046	+	0.260871i
$868$	−0.308593	−	0.675725i	−0.0104743	−	0.0229356i
$869$	13.7127	−	4.02640i	0.465170	−	0.136586i
$870$	10.3358	−	22.6322i	0.350416	−	0.767305i
$871$	4.55132	−	31.6552i	0.154216	−	1.07259i
$872$	6.25463	−	4.01961i	0.211808	−	0.136121i
$873$	11.3980			0.385764
$874$	7.79180	+	0.899465i	0.263562	+	0.0304248i
$875$	−7.71663			−0.260870
$876$	4.58512	−	2.94667i	0.154917	−	0.0995589i
$877$	−0.964357	+	6.70725i	−0.0325640	+	0.226488i	−0.999604	−	0.0281365i	$-0.991043\pi$
$877$	−0.964357	+	6.70725i	−0.0325640	+	0.226488i	0.967040	+	0.254624i	$0.0819518\pi$
$878$	−17.1403	+	37.5321i	−0.578458	+	1.26665i
$879$	23.8767	−	7.01084i	0.805342	−	0.236470i
$880$	2.24514	+	4.91617i	0.0756836	+	0.165724i
$881$	−0.379502	−	0.437969i	−0.0127858	−	0.0147556i	0.749321	−	0.662207i	$-0.230380\pi$
$881$	−0.379502	−	0.437969i	−0.0127858	−	0.0147556i	−0.762106	+	0.647452i	$0.775835\pi$
$882$	0.142315	+	0.989821i	0.00479199	+	0.0333290i
$883$	18.1027	+	5.31543i	0.609204	+	0.178878i	0.571761	−	0.820420i	$-0.306261\pi$
$883$	18.1027	+	5.31543i	0.609204	+	0.178878i	0.0374429	+	0.999299i	$0.488079\pi$
$884$	−7.31865	+	8.44617i	−0.246153	+	0.284075i
$885$	−2.60116	−	1.67166i	−0.0874369	−	0.0561923i
$886$	−5.84234	−	3.75464i	−0.196277	−	0.126140i
$887$	−36.4867	+	42.1079i	−1.22510	+	1.41385i	−0.345311	+	0.938488i	$0.612226\pi$
$887$	−36.4867	+	42.1079i	−1.22510	+	1.41385i	−0.879793	+	0.475357i	$0.842319\pi$
$888$	−6.50752	−	1.91078i	−0.218378	−	0.0641216i
$889$	−2.06908	−	14.3908i	−0.0693948	−	0.482651i
$890$	−13.5625	−	15.6520i	−0.454618	−	0.524657i
$891$	−0.842287	−	1.84435i	−0.0282177	−	0.0617881i
$892$	1.78241	−	0.523362i	0.0596794	−	0.0175235i
$893$	−8.68722	+	19.0224i	−0.290707	+	0.636559i
$894$	−0.584061	+	4.06224i	−0.0195339	+	0.135861i
$895$	39.5800	−	25.4365i	1.32301	−	0.850250i
$896$	1.00000			0.0334077
$897$	18.4023	−	9.03206i	0.614434	−	0.301572i
$898$	14.6416			0.488595
$899$	5.83324	−	3.74880i	0.194550	−	0.125029i
$900$	−0.299576	+	2.08360i	−0.00998587	+	0.0694533i
$901$	−12.7157	+	27.8434i	−0.423620	+	0.927599i
$902$	−1.57110	+	0.461318i	−0.0523120	+	0.0153602i
$903$	3.18221	+	6.96806i	0.105897	+	0.231883i
$904$	−3.09330	−	3.56986i	−0.102882	−	0.118732i
$905$	3.93483	+	27.3673i	0.130798	+	0.909721i
$906$	−10.4808	−	3.07745i	−0.348202	−	0.102241i
$907$	−0.172669	+	0.199271i	−0.00573339	+	0.00661668i	−0.758609	−	0.651546i	$-0.774121\pi$
$907$	−0.172669	+	0.199271i	−0.00573339	+	0.00661668i	0.752876	+	0.658163i	$0.228666\pi$
$908$	9.39362	+	6.03691i	0.311738	+	0.200342i
$909$	−9.35986	−	6.01522i	−0.310447	−	0.199512i
$910$	7.46118	−	8.61066i	0.247336	−	0.285440i
$911$	49.9046	+	14.6533i	1.65341	+	0.485486i	0.969707	−	0.244270i	$-0.0785484\pi$
$911$	49.9046	+	14.6533i	1.65341	+	0.485486i	0.683707	+	0.729756i	$0.260367\pi$
$912$	0.232755	+	1.61885i	0.00770728	+	0.0536053i
$913$	3.49139	+	4.02928i	0.115548	+	0.133350i
$914$	10.9488	+	23.9746i	0.362156	+	0.793010i
$915$	7.90179	−	2.32018i	0.261225	−	0.0767026i
$916$	1.06774	−	2.33803i	0.0352792	−	0.0772506i
$917$	2.44890	−	17.0325i	0.0808699	−	0.562462i
$918$	−2.19955	+	1.41356i	−0.0725959	+	0.0466545i
$919$	−20.1614			−0.665062			−0.332531	−	0.943092i	$-0.607903\pi$
$919$	−20.1614			−0.665062			−0.332531	+	0.943092i	$0.607903\pi$
$920$	−12.5977	+	2.17118i	−0.415333	+	0.0715816i
$921$	−13.0173			−0.428936
$922$	−17.4166	+	11.1930i	−0.573586	+	0.368621i
$923$	2.20934	−	15.3663i	0.0727214	−	0.505788i
$924$	0.842287	−	1.84435i	0.0277092	−	0.0606747i
$925$	13.6985	−	4.02224i	0.450404	−	0.132251i
$926$	4.18771	+	9.16980i	0.137617	+	0.301338i
$927$	−1.45429	−	1.67834i	−0.0477652	−	0.0551239i
$928$	1.32840	+	9.23923i	0.0436069	+	0.303293i
$929$	−4.43307	−	1.30167i	−0.145444	−	0.0427063i	0.208200	−	0.978086i	$-0.433240\pi$
$929$	−4.43307	−	1.30167i	−0.145444	−	0.0427063i	−0.353644	+	0.935380i	$0.615058\pi$
$930$	−1.29669	+	1.49646i	−0.0425201	+	0.0490708i
$931$	−1.37586	−	0.884214i	−0.0450921	−	0.0289789i
$932$	−19.0816	−	12.2630i	−0.625038	−	0.401688i
$933$	−1.97863	+	2.28346i	−0.0647775	+	0.0747573i
$934$	24.0480	+	7.06112i	0.786873	+	0.231047i
$935$	−2.01102	−	13.9870i	−0.0657675	−	0.457423i
$936$	2.79914	+	3.23038i	0.0914927	+	0.105588i
$937$	2.94679	+	6.45258i	0.0962676	+	0.210797i	0.951639	−	0.307219i	$-0.0993983\pi$
$937$	2.94679	+	6.45258i	0.0962676	+	0.210797i	−0.855371	+	0.518015i	$0.826671\pi$
$938$	7.17883	−	2.10790i	0.234397	−	0.0688252i
$939$	−0.122245	+	0.267680i	−0.00398933	+	0.00873541i
$940$	4.85046	−	33.7357i	0.158205	−	1.10034i
$941$	−3.19115	+	2.05083i	−0.104029	+	0.0668551i	−0.591621	−	0.806216i	$-0.701512\pi$
$941$	−3.19115	+	2.05083i	−0.104029	+	0.0668551i	0.487592	+	0.873072i	$0.337875\pi$
$942$	−17.6019			−0.573500
$943$	−0.107931	−	3.87151i	−0.00351472	−	0.126074i
$944$	1.16000			0.0377547
$945$	2.24238	−	1.44109i	0.0729447	−	0.0468787i
$946$	2.21042	−	15.3738i	0.0718669	−	0.499845i
$947$	−12.3072	+	26.9489i	−0.399929	+	0.875722i	0.597349	+	0.801982i	$0.296221\pi$
$947$	−12.3072	+	26.9489i	−0.399929	+	0.875722i	−0.997277	+	0.0737404i	$0.976506\pi$
$948$	−6.76306	+	1.98581i	−0.219654	+	0.0644963i
$949$	9.67790	+	21.1916i	0.314158	+	0.687910i
$950$	−2.25452	−	2.60186i	−0.0731464	−	0.0844154i
$951$	0.490982	+	3.41486i	0.0159212	+	0.110734i
$952$	−2.50870	−	0.736620i	−0.0813073	−	0.0238740i
$953$	−7.35318	+	8.48603i	−0.238193	+	0.274889i	−0.862243	−	0.506495i	$-0.830941\pi$
$953$	−7.35318	+	8.48603i	−0.238193	+	0.274889i	0.624050	+	0.781385i	$0.285486\pi$
$954$	9.84867	+	6.32936i	0.318863	+	0.204921i
$955$	57.8890	+	37.2030i	1.87324	+	1.20386i
$956$	−11.3675	+	13.1188i	−0.367651	+	0.424292i
$957$	18.1593	+	5.33205i	0.587007	+	0.172361i
$958$	−3.21328	−	22.3488i	−0.103816	−	0.722058i
$959$	12.9707	+	14.9690i	0.418846	+	0.483374i
$960$	−1.10730	−	2.42465i	−0.0357379	−	0.0782551i
$961$	29.2148	−	8.57824i	0.942413	−	0.276717i
$962$	12.0429	−	26.3703i	0.388279	−	0.850213i
$963$	−2.25342	+	15.6729i	−0.0726154	+	0.505051i
$964$	−24.1029	+	15.4900i	−0.776301	+	0.498898i
$965$	63.4393			2.04218
$966$	3.71056	+	3.03838i	0.119385	+	0.0977582i
$967$	−4.98660			−0.160358			−0.0801791	−	0.996780i	$-0.525549\pi$
$967$	−4.98660			−0.160358			−0.0801791	+	0.996780i	$0.525549\pi$
$968$	5.79533	−	3.72443i	0.186269	−	0.119708i
$969$	0.608562	−	4.23264i	0.0195498	−	0.135972i
$970$	12.6210	−	27.6362i	0.405236	−	0.887343i
$971$	−49.7423	+	14.6057i	−1.59631	+	0.468718i	−0.954516	−	0.298160i	$-0.903627\pi$
$971$	−49.7423	+	14.6057i	−1.59631	+	0.468718i	−0.641792	+	0.766879i	$0.721809\pi$
$972$	0.415415	+	0.909632i	0.0133244	+	0.0291765i
$973$	−5.79173	−	6.68401i	−0.185674	−	0.214280i
$974$	1.92138	+	13.3635i	0.0615650	+	0.428194i
$975$	−8.63325	−	2.53495i	−0.276485	−	0.0811834i
$976$	−2.02325	+	2.33496i	−0.0647627	+	0.0747401i
$977$	−4.46708	−	2.87082i	−0.142914	−	0.0918456i	0.467230	−	0.884136i	$-0.345252\pi$
$977$	−4.46708	−	2.87082i	−0.142914	−	0.0918456i	−0.610144	+	0.792290i	$0.708888\pi$
$978$	1.43850	+	0.924469i	0.0459982	+	0.0295612i
$979$	10.3166	−	11.9060i	0.329720	−	0.380517i
$980$	2.55755	+	0.750965i	0.0816980	+	0.0239887i
$981$	1.05810	+	7.35921i	0.0337824	+	0.234962i
$982$	21.5554	+	24.8763i	0.687861	+	0.793834i
$983$	−4.14680	−	9.08023i	−0.132262	−	0.289614i	0.831901	−	0.554925i	$-0.187253\pi$
$983$	−4.14680	−	9.08023i	−0.132262	−	0.289614i	−0.964163	+	0.265310i	$0.914526\pi$
$984$	0.774866	−	0.227521i	0.0247018	−	0.00725311i
$985$	3.70609	−	8.11520i	0.118086	−	0.258572i
$986$	3.47325	−	24.1570i	0.110611	−	0.769314i
$987$	−10.7567	+	6.91288i	−0.342388	+	0.220039i
$988$	−6.99075			−0.222406
$989$	33.8300	+	14.3241i	1.07573	+	0.455481i
$990$	−5.40457			−0.171768
$991$	−11.1808	+	7.18548i	−0.355171	+	0.228254i	−0.706043	−	0.708169i	$-0.749521\pi$
$991$	−11.1808	+	7.18548i	−0.355171	+	0.228254i	0.350872	+	0.936423i	$0.385885\pi$
$992$	0.105719	−	0.735294i	0.00335659	−	0.0233456i
$993$	−6.77172	+	14.8280i	−0.214894	+	0.470552i
$994$	3.48481	−	1.02323i	0.110531	−	0.0324550i
$995$	−14.2014	−	31.0966i	−0.450213	−	0.985829i
$996$	−1.72195	−	1.98723i	−0.0545620	−	0.0629679i
$997$	−5.53559	−	38.5009i	−0.175314	−	1.21933i	−0.867434	−	0.497552i	$-0.834232\pi$
$997$	−5.53559	−	38.5009i	−0.175314	−	1.21933i	0.692120	−	0.721782i	$-0.256677\pi$
$998$	−3.82152	−	1.12210i	−0.120968	−	0.0355194i
$999$	4.44143	−	5.12569i	0.140521	−	0.162170i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.127.3	✓	30
23.2	even	11	inner	966.2.q.f.715.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.127.3	✓	30	1.1	even	1	trivial
966.2.q.f.715.3	yes	30	23.2	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)

\(f(q)\)	\(=\)	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.55755 - 0.750965i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.55755 - 0.750965i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-1.74555 + 2.01447i) q^{10} +(-1.70571 - 1.09619i) q^{11} +(0.841254 + 0.540641i) q^{12} +(-2.79914 + 3.23038i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.379344 + 2.63839i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.08615 + 2.37833i) q^{17} +(0.959493 - 0.281733i) q^{18} +(-0.679408 + 1.48770i) q^{19} +(0.379344 - 2.63839i) q^{20} +(-0.841254 + 0.540641i) q^{21} +2.02758 q^{22} +(-1.22238 + 4.63743i) q^{23} -1.00000 q^{24} +(1.77086 - 1.13806i) q^{25} +(0.608311 - 4.23090i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(3.87758 + 8.49072i) q^{29} +(-1.74555 - 2.01447i) q^{30} +(-0.105719 - 0.735294i) q^{31} +(0.959493 + 0.281733i) q^{32} +(1.32778 - 1.53234i) q^{33} +(-2.19955 - 1.41356i) q^{34} +(2.24238 + 1.44109i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(6.50752 + 1.91078i) q^{37} +(-0.232755 - 1.61885i) q^{38} +(-2.79914 - 3.23038i) q^{39} +(1.10730 + 2.42465i) q^{40} +(-0.774866 + 0.227521i) q^{41} +(0.415415 - 0.909632i) q^{42} +(1.09018 - 7.58234i) q^{43} +(-1.70571 + 1.09619i) q^{44} -2.66553 q^{45} +(-1.47885 - 4.56213i) q^{46} +12.7865 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.874459 + 1.91480i) q^{50} +(-2.50870 + 0.736620i) q^{51} +(1.77565 + 3.88813i) q^{52} +(7.66655 + 8.84767i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-5.18564 - 1.52264i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(-1.37586 - 0.884214i) q^{57} +(-7.85246 - 5.04647i) q^{58} +(-0.759636 + 0.876667i) q^{59} +(2.55755 + 0.750965i) q^{60} +(-0.439695 - 3.05814i) q^{61} +(0.486467 + 0.561412i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-4.73304 + 10.3639i) q^{65} +(-0.288555 + 2.00694i) q^{66} +(-6.29418 + 4.04502i) q^{67} +2.61461 q^{68} +(-4.41627 - 1.86992i) q^{69} -2.66553 q^{70} +(-3.05537 + 1.96357i) q^{71} +(0.142315 - 0.989821i) q^{72} +(2.26415 - 4.95780i) q^{73} +(-6.50752 + 1.91078i) q^{74} +(0.874459 + 1.91480i) q^{75} +(1.07102 + 1.23602i) q^{76} +(-0.288555 - 2.00694i) q^{77} +(4.10126 + 1.20424i) q^{78} +(-4.61584 + 5.32696i) q^{79} +(-2.24238 - 1.44109i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.528852 - 0.610328i) q^{82} +(-2.52297 - 0.740812i) q^{83} +(0.142315 + 0.989821i) q^{84} +(4.56392 + 5.26704i) q^{85} +(3.18221 + 6.96806i) q^{86} +(-8.95614 + 2.62976i) q^{87} +(0.842287 - 1.84435i) q^{88} +(-1.10576 + 7.69071i) q^{89} +(2.24238 - 1.44109i) q^{90} -4.27440 q^{91} +(3.71056 + 3.03838i) q^{92} +0.742855 q^{93} +(-10.7567 + 6.91288i) q^{94} +(-0.620414 + 4.31507i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(-10.9363 + 3.21119i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(1.32778 + 1.53234i) 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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