LMFDB - Embedded newform 950.2.x.a.159.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, degree $8$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.3
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(-1.73756 - 1.56450i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.908640 - 2.04313i) q^{5} +(1.56450 + 1.73756i) q^{6} +2.62111i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.257848 + 2.45326i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.73756 - 1.56450i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.908640 - 2.04313i) q^{5} +(1.56450 + 1.73756i) q^{6} +2.62111i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.257848 + 2.45326i) q^{9} +(0.690097 + 2.12691i) q^{10} +(-4.73788 - 3.44227i) q^{11} +(-1.37431 - 1.89157i) q^{12} +(3.60186 - 0.378571i) q^{13} +(0.273980 - 2.60675i) q^{14} +(-1.61767 + 4.97162i) q^{15} +(0.913545 + 0.406737i) q^{16} +(1.48419 + 6.98258i) q^{17} -2.46677i q^{18} +(-4.02592 + 1.67091i) q^{19} +(-0.463993 - 2.18740i) q^{20} +(4.10073 - 4.55432i) q^{21} +(4.35211 + 3.91866i) q^{22} +(-1.76815 - 3.97133i) q^{23} +(1.16906 + 2.02487i) q^{24} +(-3.34875 + 3.71293i) q^{25} -3.62170 q^{26} +(-0.732819 + 1.00864i) q^{27} +(-0.544958 + 2.56383i) q^{28} +(1.49743 + 0.318290i) q^{29} +(2.12848 - 4.77529i) q^{30} +(-0.939132 + 2.89035i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(2.84689 + 13.3936i) q^{33} +(-0.746184 - 7.09947i) q^{34} +(5.35525 - 2.38164i) q^{35} +(-0.257848 + 2.45326i) q^{36} +(3.57698 + 4.92330i) q^{37} +(4.17853 - 1.24094i) q^{38} +(-6.85071 - 4.97734i) q^{39} +(0.232806 + 2.22392i) q^{40} +(-7.81204 - 3.47815i) q^{41} +(-4.55432 + 4.10073i) q^{42} +(5.75252 - 3.32122i) q^{43} +(-3.91866 - 4.35211i) q^{44} +(4.77803 - 2.75594i) q^{45} +(1.34335 + 4.13440i) q^{46} +(0.380676 - 1.79094i) q^{47} +(-0.950996 - 2.13597i) q^{48} +0.129807 q^{49} +(3.71851 - 3.34256i) q^{50} +(8.34539 - 14.4546i) q^{51} +(3.60186 + 0.378571i) q^{52} +(-0.991820 + 4.66614i) q^{53} +(0.834236 - 0.926513i) q^{54} +(-2.72798 + 12.8079i) q^{55} +(0.809966 - 2.49282i) q^{56} +(9.60942 + 3.39526i) q^{57} +(-1.45596 - 0.473070i) q^{58} +(9.44256 + 4.20410i) q^{59} +(-2.61598 + 4.52665i) q^{60} +(5.69784 - 2.53684i) q^{61} +(1.23611 - 2.77635i) q^{62} +(-6.43025 + 0.675847i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-4.04626 - 7.01508i) q^{65} +(-1.43129 - 13.6178i) q^{66} +(-2.21839 + 1.99745i) q^{67} +7.13857i q^{68} +(-3.14090 + 9.66669i) q^{69} +(-5.57487 + 1.80882i) q^{70} +(5.95442 - 6.61305i) q^{71} +(0.512871 - 2.41287i) q^{72} +(5.63392 + 0.592149i) q^{73} +(-3.04276 - 5.27022i) q^{74} +(11.6275 - 1.21231i) q^{75} +(-4.28535 + 0.797362i) q^{76} +(9.02256 - 12.4185i) q^{77} +(6.29291 + 5.66616i) q^{78} +(5.52864 - 6.14017i) q^{79} +(0.000931635 - 2.23607i) q^{80} +(10.0899 - 2.14468i) q^{81} +(7.40568 + 4.27567i) q^{82} +(10.0047 + 3.25072i) q^{83} +(4.95801 - 3.60221i) q^{84} +(12.9177 - 9.37704i) q^{85} +(-6.06817 + 2.70172i) q^{86} +(-2.10391 - 2.89579i) q^{87} +(3.44227 + 4.73788i) q^{88} +(-13.4220 + 5.97586i) q^{89} +(-5.03993 + 2.24141i) q^{90} +(0.992274 + 9.44086i) q^{91} +(-0.903826 - 4.25217i) q^{92} +(6.15376 - 3.55287i) q^{93} +(-0.565795 + 1.74134i) q^{94} +(7.07200 + 6.70722i) q^{95} +(0.722517 + 2.22368i) q^{96} +(9.22608 + 8.30720i) q^{97} +(-0.129096 - 0.0135686i) q^{98} +(7.22314 - 12.5108i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	−1.73756	−	1.56450i	−1.00318	−	0.903266i	−0.00786545	−	0.999969i	$-0.502504\pi$
$3$	−1.73756	−	1.56450i	−1.00318	−	0.903266i	−0.995313	+	0.0967029i	$0.969170\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	−0.908640	−	2.04313i	−0.406356	−	0.913715i
$5$	−0.908640	−	2.04313i	−0.406356	−	0.913715i
$6$	1.56450	+	1.73756i	0.638706	+	0.709354i
$7$			2.62111i			0.990685i	0.868698	+	0.495342i	$0.164957\pi$
$7$			2.62111i			0.990685i	−0.868698	+	0.495342i	$0.835043\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	0.257848	+	2.45326i	0.0859493	+	0.817753i
$10$	0.690097	+	2.12691i	0.218228	+	0.672589i
$11$	−4.73788	−	3.44227i	−1.42853	−	1.03788i	−0.990289	−	0.139025i	$-0.955603\pi$
$11$	−4.73788	−	3.44227i	−1.42853	−	1.03788i	−0.438237	−	0.898859i	$-0.644397\pi$
$12$	−1.37431	−	1.89157i	−0.396729	−	0.546050i
$13$	3.60186	−	0.378571i	0.998977	−	0.104997i	0.409100	−	0.912490i	$-0.365843\pi$
$13$	3.60186	−	0.378571i	0.998977	−	0.104997i	0.589877	+	0.807493i	$0.299176\pi$
$14$	0.273980	−	2.60675i	0.0732243	−	0.696682i
$15$	−1.61767	+	4.97162i	−0.417680	+	1.28367i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	1.48419	+	6.98258i	0.359970	+	1.69352i	0.669645	+	0.742681i	$0.266446\pi$
$17$	1.48419	+	6.98258i	0.359970	+	1.69352i	−0.309676	+	0.950842i	$0.600220\pi$
$18$		−	2.46677i		−	0.581424i
$19$	−4.02592	+	1.67091i	−0.923610	+	0.383334i
$19$	−4.02592	+	1.67091i	−0.923610	+	0.383334i
$20$	−0.463993	−	2.18740i	−0.103752	−	0.489117i
$21$	4.10073	−	4.55432i	0.894852	−	0.993834i
$22$	4.35211	+	3.91866i	0.927874	+	0.835461i
$23$	−1.76815	−	3.97133i	−0.368685	−	0.828080i	−0.998674	−	0.0514762i	$-0.983607\pi$
$23$	−1.76815	−	3.97133i	−0.368685	−	0.828080i	0.629989	−	0.776604i	$-0.283059\pi$
$24$	1.16906	+	2.02487i	0.238633	+	0.413324i
$25$	−3.34875	+	3.71293i	−0.669750	+	0.742587i
$26$	−3.62170			−0.710274
$27$	−0.732819	+	1.00864i	−0.141031	+	0.194113i
$28$	−0.544958	+	2.56383i	−0.102987	+	0.484518i
$29$	1.49743	+	0.318290i	0.278067	+	0.0591049i	0.344834	−	0.938664i	$-0.387935\pi$
$29$	1.49743	+	0.318290i	0.278067	+	0.0591049i	−0.0667674	+	0.997769i	$0.521269\pi$
$30$	2.12848	−	4.77529i	0.388606	−	0.871845i
$31$	−0.939132	+	2.89035i	−0.168673	+	0.519122i	−0.999288	−	0.0377246i	$-0.987989\pi$
$31$	−0.939132	+	2.89035i	−0.168673	+	0.519122i	0.830615	+	0.556847i	$0.187989\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	2.84689	+	13.3936i	0.495581	+	2.33152i
$34$	−0.746184	−	7.09947i	−0.127969	−	1.21755i
$35$	5.35525	−	2.38164i	0.905203	−	0.402571i
$36$	−0.257848	+	2.45326i	−0.0429747	+	0.408877i
$37$	3.57698	+	4.92330i	0.588053	+	0.809385i	0.994549	−	0.104267i	$-0.0332497\pi$
$37$	3.57698	+	4.92330i	0.588053	+	0.809385i	−0.406497	+	0.913652i	$0.633250\pi$
$38$	4.17853	−	1.24094i	0.677846	−	0.201306i
$39$	−6.85071	−	4.97734i	−1.09699	−	0.797012i
$40$	0.232806	+	2.22392i	0.0368099	+	0.351632i
$41$	−7.81204	−	3.47815i	−1.22004	−	0.543195i	−0.307249	−	0.951629i	$-0.599408\pi$
$41$	−7.81204	−	3.47815i	−1.22004	−	0.543195i	−0.912788	+	0.408434i	$0.866075\pi$
$42$	−4.55432	+	4.10073i	−0.702747	+	0.632756i
$43$	5.75252	−	3.32122i	0.877251	−	0.506481i	0.00749972	−	0.999972i	$-0.497613\pi$
$43$	5.75252	−	3.32122i	0.877251	−	0.506481i	0.869751	+	0.493491i	$0.164279\pi$
$44$	−3.91866	−	4.35211i	−0.590760	−	0.656106i
$45$	4.77803	−	2.75594i	0.712267	−	0.410832i
$46$	1.34335	+	4.13440i	0.198066	+	0.609584i
$47$	0.380676	−	1.79094i	0.0555273	−	0.261235i	−0.941624	−	0.336667i	$-0.890700\pi$
$47$	0.380676	−	1.79094i	0.0555273	−	0.261235i	0.997151	+	0.0754319i	$0.0240335\pi$
$48$	−0.950996	−	2.13597i	−0.137264	−	0.308301i
$49$	0.129807			0.0185439
$50$	3.71851	−	3.34256i	0.525877	−	0.472709i
$51$	8.34539	−	14.4546i	1.16859	−	2.02406i
$52$	3.60186	+	0.378571i	0.499488	+	0.0524983i
$53$	−0.991820	+	4.66614i	−0.136237	+	0.640944i	0.856041	+	0.516908i	$0.172917\pi$
$53$	−0.991820	+	4.66614i	−0.136237	+	0.640944i	−0.992278	+	0.124036i	$0.960416\pi$
$54$	0.834236	−	0.926513i	0.113525	−	0.126082i
$55$	−2.72798	+	12.8079i	−0.367841	+	1.72702i
$56$	0.809966	−	2.49282i	0.108236	−	0.333117i
$57$	9.60942	+	3.39526i	1.27280	+	0.449714i
$58$	−1.45596	−	0.473070i	−0.191177	−	0.0621172i
$59$	9.44256	+	4.20410i	1.22932	+	0.547327i	0.915562	−	0.402177i	$-0.131746\pi$
$59$	9.44256	+	4.20410i	1.22932	+	0.547327i	0.313755	+	0.949504i	$0.398413\pi$
$60$	−2.61598	+	4.52665i	−0.337721	+	0.584388i
$61$	5.69784	−	2.53684i	0.729534	−	0.324809i	−0.00813984	−	0.999967i	$-0.502591\pi$
$61$	5.69784	−	2.53684i	0.729534	−	0.324809i	0.737674	+	0.675158i	$0.235924\pi$
$62$	1.23611	−	2.77635i	0.156986	−	0.352597i
$63$	−6.43025	+	0.675847i	−0.810135	+	0.0851487i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	−4.04626	−	7.01508i	−0.501877	−	0.870114i
$66$	−1.43129	−	13.6178i	−0.176179	−	1.67623i
$67$	−2.21839	+	1.99745i	−0.271019	+	0.244027i	−0.793422	−	0.608672i	$-0.791702\pi$
$67$	−2.21839	+	1.99745i	−0.271019	+	0.244027i	0.522403	+	0.852699i	$0.325036\pi$
$68$			7.13857i			0.865679i
$69$	−3.14090	+	9.66669i	−0.378120	+	1.16373i
$70$	−5.57487	+	1.80882i	−0.666324	+	0.216195i
$71$	5.95442	−	6.61305i	0.706659	−	0.784825i	−0.277762	−	0.960650i	$-0.589593\pi$
$71$	5.95442	−	6.61305i	0.706659	−	0.784825i	0.984421	+	0.175825i	$0.0562593\pi$
$72$	0.512871	−	2.41287i	0.0604424	−	0.284359i
$73$	5.63392	+	0.592149i	0.659401	+	0.0693058i	0.428318	−	0.903628i	$-0.359106\pi$
$73$	5.63392	+	0.592149i	0.659401	+	0.0693058i	0.231083	+	0.972934i	$0.425773\pi$
$74$	−3.04276	−	5.27022i	−0.353714	−	0.612651i
$75$	11.6275	−	1.21231i	1.34263	−	0.139985i
$76$	−4.28535	+	0.797362i	−0.491563	+	0.0914638i
$77$	9.02256	−	12.4185i	1.02822	−	1.41522i
$78$	6.29291	+	5.66616i	0.712532	+	0.641567i
$79$	5.52864	−	6.14017i	0.622020	−	0.690824i	−0.346983	−	0.937871i	$-0.612794\pi$
$79$	5.52864	−	6.14017i	0.622020	−	0.690824i	0.969003	+	0.247048i	$0.0794605\pi$
$80$	0.000931635	−	2.23607i	0.000104160	−	0.250000i
$81$	10.0899	−	2.14468i	1.12110	−	0.238298i
$82$	7.40568	+	4.27567i	0.817821	+	0.472169i
$83$	10.0047	+	3.25072i	1.09816	+	0.356812i	0.801393	−	0.598139i	$-0.204093\pi$
$83$	10.0047	+	3.25072i	1.09816	+	0.356812i	0.296763	+	0.954951i	$0.404093\pi$
$84$	4.95801	−	3.60221i	0.540963	−	0.393033i
$85$	12.9177	−	9.37704i	1.40112	−	1.01708i
$86$	−6.06817	+	2.70172i	−0.654347	+	0.291334i
$87$	−2.10391	−	2.89579i	−0.225563	−	0.310461i
$88$	3.44227	+	4.73788i	0.366948	+	0.505060i
$89$	−13.4220	+	5.97586i	−1.42273	+	0.633440i	−0.966557	−	0.256451i	$-0.917447\pi$
$89$	−13.4220	+	5.97586i	−1.42273	+	0.633440i	−0.456173	+	0.889891i	$0.650780\pi$
$90$	−5.03993	+	2.24141i	−0.531256	+	0.236265i
$91$	0.992274	+	9.44086i	0.104019	+	0.989671i
$92$	−0.903826	−	4.25217i	−0.0942304	−	0.443319i
$93$	6.15376	−	3.55287i	0.638115	−	0.368416i
$94$	−0.565795	+	1.74134i	−0.0583573	+	0.179605i
$95$	7.07200	+	6.70722i	0.725572	+	0.688146i
$96$	0.722517	+	2.22368i	0.0737415	+	0.226953i
$97$	9.22608	+	8.30720i	0.936766	+	0.843468i	0.987879	−	0.155225i	$-0.0496101\pi$
$97$	9.22608	+	8.30720i	0.936766	+	0.843468i	−0.0511128	+	0.998693i	$0.516277\pi$
$98$	−0.129096	−	0.0135686i	−0.0130407	−	0.00137063i
$99$	7.22314	−	12.5108i	0.725953	−	1.25739i
$100$	−4.04753	+	2.93555i	−0.404753	+	0.293555i
$101$	3.48625	−	6.03837i	0.346895	−	0.600840i	−0.638801	−	0.769372i	$-0.720569\pi$
$101$	3.48625	−	6.03837i	0.346895	−	0.600840i	0.985696	+	0.168532i	$0.0539026\pi$
$102$	−9.81060	+	13.5031i	−0.971394	+	1.33701i
$103$	−14.3494	+	4.66241i	−1.41389	+	0.459401i	−0.913656	−	0.406488i	$-0.866753\pi$
$103$	−14.3494	+	4.66241i	−1.41389	+	0.459401i	−0.500236	+	0.865889i	$0.666753\pi$
$104$	−3.54256	−	0.752994i	−0.347377	−	0.0738372i
$105$	−13.0311	−	4.24008i	−1.27171	−	0.413789i
$106$	1.47413	−	4.53691i	0.143180	−	0.440664i
$107$			19.2002i			1.85615i	0.372388	+	0.928077i	$0.378539\pi$
$107$			19.2002i			1.85615i	−0.372388	+	0.928077i	$0.621461\pi$
$108$	−0.926513	+	0.834236i	−0.0891538	+	0.0802744i
$109$	−6.25729	−	2.78592i	−0.599339	−	0.266843i	0.0845612	−	0.996418i	$-0.473051\pi$
$109$	−6.25729	−	2.78592i	−0.599339	−	0.266843i	−0.683901	+	0.729575i	$0.739718\pi$
$110$	4.05183	−	12.4526i	0.386326	−	1.18731i
$111$	1.48730	−	14.1507i	0.141168	−	1.34313i
$112$	−1.06610	+	2.39450i	−0.100737	+	0.226259i
$113$	2.36012	+	3.24842i	0.222021	+	0.305586i	0.905468	−	0.424414i	$-0.139520\pi$
$113$	2.36012	+	3.24842i	0.222021	+	0.305586i	−0.683447	+	0.730000i	$0.739520\pi$
$114$	−9.20187	−	4.38112i	−0.861834	−	0.410330i
$115$	−6.50733	+	7.22107i	−0.606812	+	0.673368i
$116$	1.39854	+	0.622668i	0.129851	+	0.0578133i
$117$	1.85747	+	8.73869i	0.171723	+	0.807892i
$118$	−8.95139	−	5.16809i	−0.824042	−	0.475761i
$119$	−18.3021	+	3.89022i	−1.67775	+	0.356616i
$120$	3.07481	−	4.22841i	0.280690	−	0.385999i
$121$	7.19911	+	22.1566i	0.654464	+	2.01423i
$122$	−5.93180	+	1.92736i	−0.537040	+	0.174495i
$123$	8.13230	+	18.2654i	0.733265	+	1.64694i
$124$	−1.51955	+	2.63193i	−0.136459	+	0.236355i
$125$	10.6288	+	3.46820i	0.950670	+	0.310205i
$126$	6.46567			0.576008
$127$	1.84371	+	4.14105i	0.163603	+	0.367459i	0.976681	−	0.214697i	$-0.0688763\pi$
$127$	1.84371	+	4.14105i	0.163603	+	0.367459i	−0.813078	+	0.582155i	$0.802210\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	−15.1914	−	3.22903i	−1.33753	−	0.284300i
$130$	3.29082	+	7.39960i	0.288624	+	0.648988i
$131$	2.65501	−	0.564339i	0.231969	−	0.0493065i	−0.0904604	−	0.995900i	$-0.528834\pi$
$131$	2.65501	−	0.564339i	0.231969	−	0.0493065i	0.322429	+	0.946594i	$0.395501\pi$
$132$			13.6928i			1.19181i
$133$	−4.37964	−	10.5524i	−0.379763	−	0.915006i
$134$	2.41503	−	1.75462i	0.208626	−	0.151576i
$135$	2.72665	+	0.580754i	0.234673	+	0.0499834i
$136$	0.746184	−	7.09947i	0.0639847	−	0.608774i
$137$	−4.55715	+	0.478976i	−0.389344	+	0.0409217i	−0.297178	−	0.954822i	$-0.596046\pi$
$137$	−4.55715	+	0.478976i	−0.389344	+	0.0409217i	−0.0921656	+	0.995744i	$0.529379\pi$
$138$	4.13414	−	9.28542i	0.351921	−	0.790428i
$139$	2.52739	−	1.12526i	0.214370	−	0.0954437i	−0.296742	−	0.954958i	$-0.595900\pi$
$139$	2.52739	−	1.12526i	0.214370	−	0.0954437i	0.511112	+	0.859514i	$0.329234\pi$
$140$	5.73340	−	1.21618i	0.484561	−	0.102786i
$141$	−3.46338	+	2.51629i	−0.291669	+	0.211910i
$142$	−6.61305	+	5.95442i	−0.554955	+	0.499684i
$143$	−18.3684	−	10.6050i	−1.53604	−	0.886832i
$144$	−0.762275	+	2.34604i	−0.0635229	+	0.195503i
$145$	−0.710322	−	3.34866i	−0.0589890	−	0.278091i
$146$	−5.54116	−	1.17781i	−0.458590	−	0.0974763i
$147$	−0.225547	−	0.203084i	−0.0186028	−	0.0167501i
$148$	2.47521	+	5.55941i	0.203461	+	0.456980i
$149$	3.42764	+	5.93684i	0.280803	+	0.486365i	0.971583	−	0.236700i	$-0.0760660\pi$
$149$	3.42764	+	5.93684i	0.280803	+	0.486365i	−0.690780	+	0.723065i	$0.742733\pi$
$150$	−11.6906	−	0.00974151i	−0.954530	−	0.000795391i
$151$	−12.7272			−1.03573			−0.517863	−	0.855463i	$-0.673272\pi$
$151$	−12.7272			−1.03573			−0.517863	+	0.855463i	$0.673272\pi$
$152$	4.34522	−	0.345054i	0.352444	−	0.0279875i
$153$	−16.7474	+	5.44155i	−1.35394	+	0.439923i
$154$	−10.2712	+	11.4073i	−0.827679	+	0.919230i
$155$	6.75869	−	0.707520i	0.542871	−	0.0568294i
$156$	−5.66616	−	6.29291i	−0.453656	−	0.503836i
$157$	6.36338	−	3.67390i	0.507853	−	0.293209i	−0.224098	−	0.974567i	$-0.571943\pi$
$157$	6.36338	−	3.67390i	0.507853	−	0.293209i	0.731951	+	0.681358i	$0.238610\pi$
$158$	−6.14017	+	5.52864i	−0.488486	+	0.439835i
$159$	9.02354	−	6.55599i	0.715613	−	0.519923i
$160$	−0.234659	+	2.22372i	−0.0185514	+	0.175801i
$161$	10.4093	−	4.63451i	0.820366	−	0.365251i
$162$	−10.2588	+	1.07825i	−0.806011	+	0.0847151i
$163$	−12.8114	−	17.6333i	−1.00346	−	1.38115i	−0.923177	−	0.384376i	$-0.874417\pi$
$163$	−12.8114	−	17.6333i	−1.00346	−	1.38115i	−0.0802862	−	0.996772i	$-0.525583\pi$
$164$	−6.91819	−	5.02636i	−0.540220	−	0.392492i
$165$	24.7780	−	17.9865i	1.92897	−	1.40025i
$166$	−9.61008	−	4.27868i	−0.745887	−	0.332090i
$167$	15.3279	−	13.8013i	1.18611	−	1.06798i	0.189825	−	0.981818i	$-0.439208\pi$
$167$	15.3279	−	13.8013i	1.18611	−	1.06798i	0.996282	−	0.0861575i	$-0.0274588\pi$
$168$	−5.30738	+	3.06422i	−0.409474	+	0.236410i
$169$	0.114177	−	0.0242691i	0.00878284	−	0.00186685i
$170$	−13.8271	+	7.97541i	−1.06049	+	0.611686i
$171$	−5.13726	−	9.44579i	−0.392856	−	0.722338i
$172$	6.31733	−	2.05263i	0.481692	−	0.156511i
$173$	−4.81798	−	0.506390i	−0.366304	−	0.0385002i	−0.0804116	−	0.996762i	$-0.525623\pi$
$173$	−4.81798	−	0.506390i	−0.366304	−	0.0385002i	−0.285893	+	0.958262i	$0.592290\pi$
$174$	1.78969	+	3.09984i	0.135676	+	0.234998i
$175$	−9.73199	−	8.77742i	−0.735670	−	0.663511i
$176$	−2.92817	−	5.07175i	−0.220719	−	0.382297i
$177$	−9.82966	−	22.0778i	−0.738843	−	1.65947i
$178$	13.9731	−	4.54015i	1.04733	−	0.340298i
$179$	4.11974	+	12.6792i	0.307924	+	0.947691i	0.978570	+	0.205914i	$0.0660168\pi$
$179$	4.11974	+	12.6792i	0.307924	+	0.947691i	−0.670646	+	0.741777i	$0.733983\pi$
$180$	5.24661	−	1.70231i	0.391060	−	0.126883i
$181$	11.7928	+	13.0973i	0.876555	+	0.973513i	0.999822	−	0.0188604i	$-0.00600381\pi$
$181$	11.7928	+	13.0973i	0.876555	+	0.973513i	−0.123267	+	0.992374i	$0.539337\pi$
$182$		−	9.49286i		−	0.703658i
$183$	−13.8692	−	4.50638i	−1.02524	−	0.333121i
$184$	0.454402	+	4.32335i	0.0334990	+	0.318722i
$185$	6.80874	−	11.7817i	0.500588	−	0.866211i
$186$	−6.49142	+	2.89017i	−0.475974	+	0.211917i
$187$	17.0040	−	38.1916i	1.24346	−	2.79285i
$188$	0.744715	−	1.67266i	0.0543139	−	0.121991i
$189$	−2.64375	−	1.92080i	−0.192304	−	0.139717i
$190$	−6.33216	−	7.40970i	−0.459384	−	0.537556i
$191$	−21.3650	+	15.5226i	−1.54592	+	1.12317i	−0.599429	+	0.800428i	$0.704606\pi$
$191$	−21.3650	+	15.5226i	−1.54592	+	1.12317i	−0.946486	+	0.322745i	$0.895394\pi$
$192$	−0.486121	−	2.28702i	−0.0350828	−	0.165051i
$193$	−22.4384	+	12.9548i	−1.61515	+	0.932508i	−0.627002	+	0.779018i	$0.715718\pi$
$193$	−22.4384	+	12.9548i	−1.61515	+	0.932508i	−0.988150	+	0.153491i	$0.950948\pi$
$194$	−8.30720	−	9.22608i	−0.596422	−	0.662394i
$195$	−3.94451	+	18.5195i	−0.282472	+	1.32621i
$196$	0.126971	+	0.0269884i	0.00906933	+	0.00192775i
$197$	−2.17147	+	0.705553i	−0.154711	+	0.0502686i	−0.385349	−	0.922771i	$-0.625919\pi$
$197$	−2.17147	+	0.705553i	−0.154711	+	0.0502686i	0.230638	+	0.973040i	$0.425919\pi$
$198$	−8.49131	+	11.6873i	−0.603451	+	0.830579i
$199$	0.828774	−	1.43548i	0.0587503	−	0.101758i	−0.835154	−	0.550016i	$-0.814622\pi$
$199$	0.828774	−	1.43548i	0.0587503	−	0.101758i	0.893905	+	0.448257i	$0.147955\pi$
$200$	4.33221	−	2.49639i	0.306333	−	0.176521i
$201$	6.97958			0.492302
$202$	−4.09834	+	5.64088i	−0.288358	+	0.396891i
$203$	−0.834270	+	3.92493i	−0.0585543	+	0.275476i
$204$	11.1683	−	12.4037i	0.781939	−	0.868431i
$205$	−0.00796674	+	19.1214i	−0.000556421	+	1.33550i
$206$	14.7582	−	3.13695i	1.02825	−	0.218562i
$207$	9.28679	−	5.36173i	0.645477	−	0.372666i
$208$	3.44444	+	1.11917i	0.238829	+	0.0776003i
$209$	24.8261	+	5.94174i	1.71726	+	0.410999i
$210$	12.5165	+	5.57898i	0.863724	+	0.384986i
$211$	−0.0686569	+	0.653227i	−0.00472654	+	0.0449700i	−0.996631	−	0.0820167i	$-0.973864\pi$
$211$	−0.0686569	+	0.653227i	−0.00472654	+	0.0449700i	0.991904	+	0.126987i	$0.0405306\pi$
$212$	−1.94029	+	4.35797i	−0.133260	+	0.299306i
$213$	−20.6923	+	2.17485i	−1.41781	+	0.149018i
$214$	2.00697	−	19.0950i	0.137194	−	1.30531i
$215$	−12.0126	−	8.73534i	−0.819255	−	0.595745i
$216$	1.00864	−	0.732819i	0.0686292	−	0.0498620i
$217$	−7.57591	−	2.46156i	−0.514287	−	0.167102i
$218$	5.93180	+	3.42473i	0.401752	+	0.231952i
$219$	−8.86284	−	9.84318i	−0.598895	−	0.665140i
$220$	−5.33128	+	11.9608i	−0.359435	+	0.806399i
$221$	7.98926	+	24.5884i	0.537416	+	1.65400i
$222$	−2.95830	+	13.9177i	−0.198548	+	0.934097i
$223$	−0.0617486	−	0.00649004i	−0.00413499	−	0.000434605i	0.102461	−	0.994737i	$-0.467328\pi$
$223$	−0.0617486	−	0.00649004i	−0.00413499	−	0.000434605i	−0.106596	+	0.994302i	$0.533995\pi$
$224$	1.31055	−	2.26994i	0.0875650	−	0.151667i
$225$	−9.97226	−	7.25797i	−0.664817	−	0.483865i
$226$	−2.00764	−	3.47733i	−0.133546	−	0.231308i
$227$	−8.82127	+	12.1414i	−0.585488	+	0.805856i	−0.994284	−	0.106771i	$-0.965949\pi$
$227$	−8.82127	+	12.1414i	−0.585488	+	0.805856i	0.408795	+	0.912626i	$0.365949\pi$
$228$	8.69351	+	5.31898i	0.575742	+	0.352258i
$229$	3.99115	+	12.2835i	0.263743	+	0.811716i	0.991980	+	0.126392i	$0.0403396\pi$
$229$	3.99115	+	12.2835i	0.263743	+	0.811716i	−0.728238	+	0.685325i	$0.759660\pi$
$230$	7.22649	−	6.50131i	0.476501	−	0.428684i
$231$	−35.1060	+	7.46201i	−2.30980	+	0.490964i
$232$	−1.32579	−	0.765444i	−0.0870423	−	0.0502539i
$233$	1.46282	+	6.88205i	0.0958328	+	0.450858i	0.999733	+	0.0231141i	$0.00735811\pi$
$233$	1.46282	+	6.88205i	0.0958328	+	0.450858i	−0.903900	+	0.427744i	$0.859309\pi$
$234$	−0.933848	−	8.88497i	−0.0610476	−	0.580829i
$235$	−4.00502	+	0.849549i	−0.261259	+	0.0554185i
$236$	8.36214	+	6.07545i	0.544329	+	0.395478i
$237$	−19.2126	+	2.01933i	−1.24800	+	0.131170i
$238$	18.6084	−	1.95583i	1.20621	−	0.126777i
$239$	2.81297	+	2.04374i	0.181956	+	0.132199i	0.675035	−	0.737786i	$-0.264129\pi$
$239$	2.81297	+	2.04374i	0.181956	+	0.132199i	−0.493079	+	0.869985i	$0.664129\pi$
$240$	−3.49995	+	3.88384i	−0.225921	+	0.250701i
$241$	0.0402127	+	0.382598i	0.00259032	+	0.0246453i	0.995741	−	0.0921978i	$-0.0293892\pi$
$241$	0.0402127	+	0.382598i	0.00259032	+	0.0246453i	−0.993150	+	0.116843i	$0.962723\pi$
$242$	−4.84368	−	22.7877i	−0.311363	−	1.46485i
$243$	−17.6481	−	10.1891i	−1.13212	−	0.653632i
$244$	6.10077	−	1.29676i	0.390562	−	0.0830164i
$245$	−0.117948	−	0.265213i	−0.00753542	−	0.0169438i
$246$	−6.17849	−	19.0154i	−0.393926	−	1.21238i
$247$	−13.8683	+	7.54249i	−0.882416	+	0.479917i
$248$	1.78634	−	2.45868i	0.113432	−	0.156126i
$249$	−12.2979	−	21.3006i	−0.779350	−	1.34987i
$250$	−10.2081	−	4.56022i	−0.645614	−	0.288413i
$251$	4.24999	−	7.36120i	0.268257	−	0.464635i	−0.700155	−	0.713991i	$-0.746886\pi$
$251$	4.24999	−	7.36120i	0.268257	−	0.464635i	0.968412	+	0.249356i	$0.0802190\pi$
$252$	−6.43025	−	0.675847i	−0.405068	−	0.0425743i
$253$	−5.29312	+	24.9022i	−0.332776	+	1.56559i
$254$	−1.40076	−	4.31108i	−0.0878912	−	0.270501i
$255$	−37.1157	−	3.91665i	−2.32427	−	0.245270i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	6.25872	+	3.61347i	0.390408	+	0.225402i	0.682337	−	0.731038i	$-0.260964\pi$
$257$	6.25872	+	3.61347i	0.390408	+	0.225402i	−0.291929	+	0.956440i	$0.594297\pi$
$258$	14.7706	+	4.79927i	0.919579	+	0.298789i
$259$	−12.9045	+	9.37565i	−0.801845	+	0.582575i
$260$	−2.49933	−	7.70305i	−0.155002	−	0.477723i
$261$	−0.394736	+	3.75567i	−0.0244336	+	0.232470i
$262$	−2.69945	+	0.283724i	−0.166773	+	0.0175285i
$263$	−8.78131	+	19.7231i	−0.541479	+	1.21618i	0.411016	+	0.911628i	$0.365174\pi$
$263$	−8.78131	+	19.7231i	−0.541479	+	1.21618i	−0.952495	+	0.304553i	$0.901493\pi$
$264$	1.43129	−	13.6178i	0.0880897	−	0.838117i
$265$	10.4347	−	2.21343i	0.641001	−	0.135970i
$266$	3.25262	+	10.9524i	0.199431	+	0.671532i
$267$	32.6708	+	10.6154i	1.99942	+	0.649650i
$268$	−2.58520	+	1.49257i	−0.157916	+	0.0911731i
$269$	−4.93165	+	1.04825i	−0.300688	+	0.0639132i	−0.355785	−	0.934568i	$-0.615786\pi$
$269$	−4.93165	+	1.04825i	−0.300688	+	0.0639132i	0.0550971	+	0.998481i	$0.482453\pi$
$270$	−2.65101	−	0.862585i	−0.161335	−	0.0524953i
$271$	−19.6674	+	21.8429i	−1.19471	+	1.32686i	−0.262505	+	0.964931i	$0.584549\pi$
$271$	−19.6674	+	21.8429i	−1.19471	+	1.32686i	−0.932205	+	0.361930i	$0.882118\pi$
$272$	−1.48419	+	6.98258i	−0.0899924	+	0.423381i
$273$	13.0461	−	17.9564i	0.789587	−	1.08677i
$274$	4.58226			0.276824
$275$	28.6469	−	6.06415i	1.72747	−	0.365682i
$276$	−5.08208	+	8.80242i	−0.305905	+	0.529844i
$277$	12.5657	−	17.2952i	0.755002	−	1.03917i	−0.242612	−	0.970123i	$-0.578004\pi$
$277$	12.5657	−	17.2952i	0.755002	−	1.03917i	0.997613	−	0.0690471i	$-0.0219959\pi$
$278$	−2.63116	+	0.854917i	−0.157807	+	0.0512745i
$279$	−7.33293	−	1.55866i	−0.439011	−	0.0933147i
$280$	−5.82912	+	0.610210i	−0.348356	+	0.0364670i
$281$	−2.76712	−	3.07320i	−0.165073	−	0.183332i	0.654933	−	0.755687i	$-0.272697\pi$
$281$	−2.76712	−	3.07320i	−0.165073	−	0.183332i	−0.820006	+	0.572355i	$0.806030\pi$
$282$	3.70743	−	2.14049i	0.220774	−	0.127464i
$283$	−2.17777	−	10.2456i	−0.129455	−	0.609039i	−0.994265	−	0.106940i	$-0.965895\pi$
$283$	−2.17777	−	10.2456i	−0.129455	−	0.609039i	0.864810	−	0.502099i	$-0.167439\pi$
$284$	7.19923	−	5.23055i	0.427196	−	0.310376i
$285$	−1.79454	−	22.7183i	−0.106299	−	1.34572i
$286$	17.1592	+	12.4669i	1.01465	+	0.737183i
$287$	9.11659	−	20.4762i	0.538135	−	1.20867i
$288$	1.00333	−	2.25351i	0.0591216	−	0.132789i
$289$	−31.0233	+	13.8125i	−1.82490	+	0.812497i
$290$	0.356400	+	3.40457i	0.0209285	+	0.199923i
$291$	−3.03420	−	28.8685i	−0.177868	−	1.69230i
$292$	5.38769	+	1.75057i	0.315291	+	0.102444i
$293$		−	13.7067i		−	0.800755i	−0.916350	−	0.400377i	$-0.868879\pi$
$293$		−	13.7067i		−	0.800755i	0.916350	−	0.400377i	$-0.131121\pi$
$294$	0.203084	+	0.225547i	0.0118441	+	0.0131542i
$295$	0.00962954	−	23.1124i	0.000560654	−	1.34566i
$296$	−1.88053	−	5.78768i	−0.109304	−	0.336402i
$297$	6.94403	−	2.25625i	0.402933	−	0.130921i
$298$	−2.78829	−	6.26260i	−0.161521	−	0.362783i
$299$	−7.87207	−	13.6348i	−0.455253	−	0.788522i
$300$	11.6255	+	1.23168i	0.671199	+	0.0711113i
$301$	8.70526	+	15.0780i	0.501763	+	0.869079i
$302$	12.6575	+	1.33036i	0.728358	+	0.0765535i
$303$	−15.5046	+	5.03775i	−0.890717	+	0.289411i
$304$	−4.35748	−	0.111036i	−0.249919	−	0.00636834i
$305$	−10.3604	−	9.33635i	−0.593234	−	0.534598i
$306$	17.2244	−	3.66116i	0.984655	−	0.209295i
$307$	−22.2856	+	12.8666i	−1.27190	+	0.734334i	−0.975346	−	0.220680i	$-0.929172\pi$
$307$	−22.2856	+	12.8666i	−1.27190	+	0.734334i	−0.296558	+	0.955015i	$0.595839\pi$
$308$	11.4073	−	10.2712i	0.649994	−	0.585257i
$309$	32.2273	+	14.3485i	1.83335	+	0.816259i
$310$	−6.79562	−	0.00283133i	−0.385965	−	0.000160809i
$311$	14.6291	+	10.6286i	0.829538	+	0.602695i	0.919429	−	0.393257i	$-0.128652\pi$
$311$	14.6291	+	10.6286i	0.829538	+	0.602695i	−0.0898906	+	0.995952i	$0.528652\pi$
$312$	4.97734	+	6.85071i	0.281786	+	0.387845i
$313$	27.6902	−	2.91036i	1.56514	−	0.164503i	0.718067	−	0.695974i	$-0.245027\pi$
$313$	27.6902	−	2.91036i	1.56514	−	0.164503i	0.847077	+	0.531471i	$0.178360\pi$
$314$	−6.71255	+	2.98862i	−0.378811	+	0.168658i
$315$	7.22362	+	12.5237i	0.407005	+	0.705632i
$316$	6.68444	−	4.85653i	0.376029	−	0.273201i
$317$	−5.74855	+	5.17602i	−0.322871	+	0.290714i	−0.814587	−	0.580041i	$-0.803036\pi$
$317$	−5.74855	+	5.17602i	−0.322871	+	0.290714i	0.491716	+	0.870755i	$0.336370\pi$
$318$	−9.65939	+	5.57685i	−0.541672	+	0.312734i
$319$	−5.99903	−	6.66260i	−0.335881	−	0.373034i
$320$	0.465816	−	2.18701i	0.0260399	−	0.122258i
$321$	30.0388	−	33.3615i	1.67660	−	1.86205i
$322$	−10.8367	+	3.52106i	−0.603905	+	0.196221i
$323$	−17.6425	−	25.6314i	−0.981656	−	1.42617i
$324$	10.3154			0.573075
$325$	−10.6561	+	14.6412i	−0.591095	+	0.812149i
$326$	10.8980	+	18.8759i	0.603584	+	1.04544i
$327$	6.51381	+	14.6302i	0.360214	+	0.809054i
$328$	6.35489	+	5.72197i	0.350890	+	0.315943i
$329$	4.69424	+	0.997792i	0.258802	+	0.0550101i
$330$	−26.5224	+	15.2980i	−1.46001	+	0.842125i
$331$	−6.60168	+	20.3179i	−0.362861	+	1.11677i	0.588449	+	0.808535i	$0.299739\pi$
$331$	−6.60168	+	20.3179i	−0.362861	+	1.11677i	−0.951310	+	0.308237i	$0.900261\pi$
$332$	9.11019	+	5.25977i	0.499986	+	0.288667i
$333$	−11.1558	+	10.0447i	−0.611334	+	0.550448i
$334$	−16.6865	+	12.1235i	−0.913047	+	0.663367i
$335$	6.09675	+	2.71749i	0.333101	+	0.148473i
$336$	5.59861	−	2.49266i	0.305429	−	0.135986i
$337$	−7.71411	+	17.3262i	−0.420215	+	0.943817i	0.572112	+	0.820175i	$0.306124\pi$
$337$	−7.71411	+	17.3262i	−0.420215	+	0.943817i	−0.992327	+	0.123642i	$0.960543\pi$
$338$	−0.116088	+	0.0122014i	−0.00631437	+	0.000663667i
$339$	0.981330	−	9.33673i	0.0532985	−	0.507102i
$340$	14.5850	−	6.48639i	0.790984	−	0.351774i
$341$	14.3989	−	10.4614i	0.779743	−	0.566516i
$342$	4.12176	+	9.93103i	0.222879	+	0.537009i
$343$			18.6880i			1.00906i
$344$	−6.49728	+	1.38104i	−0.350310	+	0.0744607i
$345$	22.6042	−	2.36628i	1.21697	−	0.127396i
$346$	4.73866	+	1.00723i	0.254752	+	0.0541492i
$347$	−0.162227	−	0.146070i	−0.00870882	−	0.00784146i	0.664765	−	0.747053i	$-0.268532\pi$
$347$	−0.162227	−	0.146070i	−0.00870882	−	0.00784146i	−0.673474	+	0.739211i	$0.735198\pi$
$348$	−1.45587	−	3.26994i	−0.0780428	−	0.175287i
$349$	−4.29002			−0.229640			−0.114820	−	0.993386i	$-0.536629\pi$
$349$	−4.29002			−0.229640			−0.114820	+	0.993386i	$0.536629\pi$
$350$	8.76119	+	9.74661i	0.468305	+	0.520978i
$351$	−2.25767	+	3.91040i	−0.120506	+	0.208722i
$352$	2.38199	+	5.35004i	0.126961	+	0.285158i
$353$	−11.8211	+	3.84089i	−0.629171	+	0.204430i	−0.606208	−	0.795306i	$-0.707310\pi$
$353$	−11.8211	+	3.84089i	−0.629171	+	0.204430i	−0.0229634	+	0.999736i	$0.507310\pi$
$354$	7.46806	+	22.9843i	0.396923	+	1.22160i
$355$	−18.9217	−	6.15676i	−1.00426	−	0.326767i
$356$	−14.3712	+	3.05468i	−0.761670	+	0.161898i
$357$	37.8871	+	21.8742i	2.00520	+	1.15770i
$358$	−2.77183	−	13.0404i	−0.146496	−	0.689207i
$359$	10.4358	+	4.64630i	0.550779	+	0.245222i	0.663205	−	0.748438i	$-0.269196\pi$
$359$	10.4358	+	4.64630i	0.550779	+	0.245222i	−0.112427	+	0.993660i	$0.535862\pi$
$360$	−5.39581	+	1.14457i	−0.284384	+	0.0603239i
$361$	13.4161	−	13.4539i	0.706111	−	0.708101i
$362$	−10.3592	−	14.2582i	−0.544468	−	0.749395i
$363$	22.1552	−	49.7613i	1.16284	−	2.61179i
$364$	−0.992274	+	9.44086i	−0.0520093	+	0.494836i
$365$	−3.90937	−	12.0489i	−0.204626	−	0.630667i
$366$	13.3222	+	5.93142i	0.696362	+	0.310040i
$367$	−9.44901	+	8.50793i	−0.493234	+	0.444110i	−0.877828	−	0.478976i	$-0.841008\pi$
$367$	−9.44901	+	8.50793i	−0.493234	+	0.444110i	0.384594	+	0.923086i	$0.374342\pi$
$368$		−	4.34717i		−	0.226612i
$369$	6.51847	−	20.0618i	0.339338	−	1.04438i
$370$	−8.00297	+	11.0055i	−0.416054	+	0.572148i
$371$	−12.2305	−	2.59966i	−0.634974	−	0.134968i
$372$	6.75797	−	2.19580i	0.350384	−	0.113847i
$373$	2.11820	−	2.91545i	0.109676	−	0.150956i	−0.750650	−	0.660700i	$-0.770260\pi$
$373$	2.11820	−	2.91545i	0.109676	−	0.150956i	0.860327	+	0.509743i	$0.170260\pi$
$374$	−20.9030	+	36.2050i	−1.08087	+	1.87212i
$375$	−13.0421	−	22.6550i	−0.673493	−	1.16990i
$376$	−0.915476	+	1.58565i	−0.0472120	+	0.0817737i
$377$	5.51405	+	0.579550i	0.283988	+	0.0298483i
$378$	2.42849	+	2.18662i	0.124908	+	0.112468i
$379$	1.85882	+	5.72085i	0.0954811	+	0.293861i	0.987379	−	0.158377i	$-0.0506260\pi$
$379$	1.85882	+	5.72085i	0.0954811	+	0.293861i	−0.891898	+	0.452237i	$0.850626\pi$
$380$	5.52295	+	8.03100i	0.283321	+	0.411982i
$381$	3.27512	−	10.0798i	0.167790	−	0.516404i
$382$	22.8705	−	13.2043i	1.17016	−	0.675590i
$383$	7.67064	+	36.0875i	0.391952	+	1.84399i	0.522627	+	0.852562i	$0.324952\pi$
$383$	7.67064	+	36.0875i	0.391952	+	1.84399i	−0.130675	+	0.991425i	$0.541715\pi$
$384$	0.244399	+	2.32530i	0.0124720	+	0.118663i
$385$	−33.5708	−	7.15032i	−1.71093	−	0.364414i
$386$	23.6696	−	10.5384i	1.20475	−	0.536391i
$387$	9.63108	+	13.2560i	0.489575	+	0.673843i
$388$	7.29730	+	10.0439i	0.370464	+	0.509901i
$389$	−6.73400	+	2.99817i	−0.341427	+	0.152013i	−0.570286	−	0.821446i	$-0.693167\pi$
$389$	−6.73400	+	2.99817i	−0.341427	+	0.152013i	0.228858	+	0.973460i	$0.426501\pi$
$390$	5.85871	−	18.0057i	0.296667	−	0.911756i
$391$	25.1059	−	18.2405i	1.26966	−	0.922460i
$392$	−0.123454	−	0.0401126i	−0.00623537	−	0.00202599i
$393$	−5.49613	−	3.17319i	−0.277243	−	0.160066i
$394$	2.23332	−	0.474708i	0.112513	−	0.0239154i
$395$	−17.5687	−	5.71651i	−0.883978	−	0.287629i
$396$	9.66644	−	10.7357i	0.485757	−	0.539488i
$397$	−9.19377	−	8.27811i	−0.461422	−	0.415466i	0.405357	−	0.914158i	$-0.367147\pi$
$397$	−9.19377	−	8.27811i	−0.461422	−	0.415466i	−0.866779	+	0.498692i	$0.833814\pi$
$398$	−0.974283	+	1.34099i	−0.0488364	+	0.0672175i
$399$	−8.89934	+	25.1873i	−0.445524	+	1.26094i
$400$	−4.56942	+	2.02988i	−0.228471	+	0.101494i
$401$	15.7899	+	27.3490i	0.788512	+	1.36574i	0.926878	+	0.375362i	$0.122482\pi$
$401$	15.7899	+	27.3490i	0.788512	+	1.36574i	−0.138366	+	0.990381i	$0.544185\pi$
$402$	−6.94135	−	0.729565i	−0.346203	−	0.0363874i
$403$	−2.28842	+	10.7662i	−0.113994	+	0.536301i
$404$	4.66552	−	5.18158i	0.232118	−	0.257793i
$405$	−13.5500	−	18.6663i	−0.673304	−	0.927536i
$406$	1.23997	−	3.81623i	0.0615386	−	0.189396i
$407$		−	35.6390i		−	1.76656i
$408$	−12.4037	+	11.1683i	−0.614073	+	0.552914i
$409$	1.05362	+	10.0246i	0.0520984	+	0.495683i	0.989194	+	0.146611i	$0.0468365\pi$
$409$	1.05362	+	10.0246i	0.0520984	+	0.495683i	−0.937096	+	0.349072i	$0.886497\pi$
$410$	2.00665	−	19.0158i	0.0991015	−	0.939124i
$411$	8.66767	+	6.29743i	0.427545	+	0.310629i
$412$	−15.0052	+	1.57711i	−0.739255	+	0.0776988i
$413$	−11.0194	+	24.7500i	−0.542229	+	1.21787i
$414$	−9.79637	+	4.36163i	−0.481466	+	0.214362i
$415$	−2.44901	−	23.3946i	−0.120217	−	1.14839i
$416$	−3.30859	−	1.47308i	−0.162217	−	0.0722236i
$417$	−6.15196	−	1.99889i	−0.301263	−	0.0978862i
$418$	−24.0690	−	8.50423i	−1.17725	−	0.415955i
$419$	8.20029	−	25.2379i	0.400611	−	1.23295i	−0.523895	−	0.851783i	$-0.675521\pi$
$419$	8.20029	−	25.2379i	0.400611	−	1.23295i	0.924505	−	0.381170i	$-0.124479\pi$
$420$	−11.8648	−	6.85675i	−0.578944	−	0.334575i
$421$	12.4889	−	13.8704i	0.608673	−	0.676000i	−0.357495	−	0.933915i	$-0.616369\pi$
$421$	12.4889	−	13.8704i	0.608673	−	0.676000i	0.966167	+	0.257916i	$0.0830356\pi$
$422$	0.136562	−	0.642472i	0.00664772	−	0.0312751i
$423$	4.49180	+	0.472107i	0.218399	+	0.0229546i
$424$	2.38519	−	4.13128i	0.115835	−	0.200633i
$425$	−30.8960	−	17.8722i	−1.49868	−	0.866928i
$426$	20.8063			1.00807
$427$	6.64933	+	14.9346i	0.321784	+	0.722738i
$428$	−3.99195	+	18.7806i	−0.192958	+	0.907797i
$429$	15.3245	+	47.1641i	0.739876	+	2.27710i
$430$	11.0337	+	9.94315i	0.532094	+	0.479501i
$431$	3.69242	+	4.10084i	0.177857	+	0.197531i	0.825481	−	0.564430i	$-0.190904\pi$
$431$	3.69242	+	4.10084i	0.177857	+	0.197531i	−0.647624	+	0.761960i	$0.724237\pi$
$432$	−1.07971	+	0.623373i	−0.0519478	+	0.0299921i
$433$	18.8345	−	16.9587i	0.905130	−	0.814983i	−0.0781762	−	0.996940i	$-0.524910\pi$
$433$	18.8345	−	16.9587i	0.905130	−	0.814983i	0.983307	+	0.181957i	$0.0582430\pi$
$434$	7.27711	+	3.23998i	0.349312	+	0.155524i
$435$	−4.00477	+	6.92979i	−0.192014	+	0.332258i
$436$	−5.54132	−	4.02601i	−0.265381	−	0.192811i
$437$	13.7542	+	13.0339i	0.657952	+	0.623494i
$438$	7.78540	+	10.7157i	0.372001	+	0.512015i
$439$	−0.117508	+	1.11801i	−0.00560833	+	0.0533597i	−0.996968	−	0.0778110i	$-0.975207\pi$
$439$	−0.117508	+	1.11801i	−0.00560833	+	0.0533597i	0.991360	+	0.131171i	$0.0418736\pi$
$440$	6.55232	−	11.3380i	0.312370	−	0.540520i
$441$	0.0334705	+	0.318451i	0.00159383	+	0.0151643i
$442$	−5.37530	−	25.2888i	−0.255677	−	1.20287i
$443$	25.7325	+	14.8567i	1.22259	+	0.705862i	0.965469	−	0.260518i	$-0.0838932\pi$
$443$	25.7325	+	14.8567i	1.22259	+	0.705862i	0.257120	+	0.966380i	$0.417227\pi$
$444$	4.39690	−	13.5323i	0.208667	−	0.642212i
$445$	24.4052	+	21.9930i	1.15692	+	1.04257i
$446$	0.0607319	+	0.0129090i	0.00287574	+	0.000611257i
$447$	3.33249	−	15.6781i	0.157621	−	0.741550i
$448$	−1.54065	+	2.12052i	−0.0727887	+	0.100185i
$449$	7.91869			0.373706			0.186853	−	0.982388i	$-0.440171\pi$
$449$	7.91869			0.373706			0.186853	+	0.982388i	$0.440171\pi$
$450$	9.15897	+	8.26060i	0.431758	+	0.389408i
$451$	25.0398	+	43.3703i	1.17908	+	2.04223i
$452$	1.63316	+	3.66814i	0.0768173	+	0.172535i
$453$	22.1143	+	19.9118i	1.03902	+	0.935537i
$454$	10.0421	−	11.1529i	0.471298	−	0.523429i
$455$	18.3873	−	10.6057i	0.862009	−	0.497202i
$456$	−8.08990	−	6.19856i	−0.378844	−	0.290274i
$457$		−	10.0222i		−	0.468820i	−0.972138	−	0.234410i	$-0.924684\pi$
$457$		−	10.0222i		−	0.468820i	0.972138	−	0.234410i	$-0.0753157\pi$
$458$	−2.68531	−	12.6334i	−0.125476	−	0.590320i
$459$	−8.13055	−	3.61995i	−0.379501	−	0.168965i
$460$	−7.86648	+	5.71032i	−0.366776	+	0.266245i
$461$	3.95618	−	37.6405i	0.184258	−	1.75309i	−0.377700	−	0.925928i	$-0.623285\pi$
$461$	3.95618	−	37.6405i	0.184258	−	1.75309i	0.561958	−	0.827166i	$-0.310048\pi$
$462$	35.6937	−	3.75156i	1.66062	−	0.174538i
$463$	20.3801	+	28.0509i	0.947145	+	1.30363i	0.952784	+	0.303650i	$0.0982052\pi$
$463$	20.3801	+	28.0509i	0.947145	+	1.30363i	−0.00563835	+	0.999984i	$0.501795\pi$
$464$	1.23851	+	0.899834i	0.0574966	+	0.0417737i
$465$	−12.8505	−	9.34464i	−0.595929	−	0.433347i
$466$	−0.735441	−	6.99725i	−0.0340686	−	0.324142i
$467$	−25.6337	−	8.32891i	−1.18619	−	0.385416i	−0.351526	−	0.936178i	$-0.614337\pi$
$467$	−25.6337	−	8.32891i	−1.18619	−	0.385416i	−0.834662	+	0.550762i	$0.814337\pi$
$468$			8.93391i			0.412970i
$469$	−5.23551	−	5.81463i	−0.241754	−	0.268495i
$470$	4.07188	−	0.426257i	0.187822	−	0.0196618i
$471$	−16.8046	−	3.57192i	−0.774313	−	0.164585i
$472$	−7.68127	−	6.91625i	−0.353559	−	0.318346i
$473$	−38.6873	−	4.06620i	−1.77884	−	0.186964i
$474$	19.3185			0.887327
$475$	7.27781	−	20.5435i	0.333929	−	0.942598i
$476$	−18.7109			−0.857615
$477$	−11.7030	−	1.23003i	−0.535844	−	0.0563194i
$478$	−2.58393	−	2.32658i	−0.118186	−	0.106415i
$479$	12.5068	+	2.65841i	0.571451	+	0.121466i	0.484569	−	0.874753i	$-0.338976\pi$
$479$	12.5068	+	2.65841i	0.571451	+	0.121466i	0.0868818	+	0.996219i	$0.472310\pi$
$480$	3.88675	−	3.49672i	0.177405	−	0.159603i
$481$	14.7476	+	16.3789i	0.672434	+	0.746813i
$482$		−	0.384705i		−	0.0175228i
$483$	−25.3374	−	8.23263i	−1.15289	−	0.374598i
$484$	2.43518	+	23.1692i	0.110690	+	1.05314i
$485$	8.58949	−	26.3983i	0.390029	−	1.19869i
$486$	16.4863	+	11.9780i	0.747835	+	0.543334i
$487$	11.1911	+	15.4032i	0.507117	+	0.697986i	0.983430	−	0.181290i	$-0.0580272\pi$
$487$	11.1911	+	15.4032i	0.507117	+	0.697986i	−0.476313	+	0.879276i	$0.658027\pi$
$488$	−6.20290	+	0.651951i	−0.280792	+	0.0295124i
$489$	−5.32692	+	50.6823i	−0.240892	+	2.29193i
$490$	0.0895796	+	0.276089i	0.00404679	+	0.0124724i
$491$	−5.71845	−	2.54602i	−0.258070	−	0.114900i	0.273624	−	0.961837i	$-0.411778\pi$
$491$	−5.71845	−	2.54602i	−0.258070	−	0.114900i	−0.531694	+	0.846937i	$0.678444\pi$
$492$	4.15699	+	19.5571i	0.187412	+	0.881702i
$493$			10.9284i			0.492188i
$494$	14.5807	−	6.05155i	0.656016	−	0.272272i
$495$	−32.1245	−	3.38995i	−1.44389	−	0.152367i
$496$	−2.03355	+	2.25849i	−0.0913091	+	0.101409i
$497$	17.3335	+	15.6072i	0.777514	+	0.700077i
$498$	10.0040	+	22.4694i	0.448292	+	1.00688i
$499$	−4.07722	−	7.06196i	−0.182522	−	0.316137i	0.760217	−	0.649669i	$-0.225093\pi$
$499$	−4.07722	−	7.06196i	−0.182522	−	0.316137i	−0.942739	+	0.333533i	$0.891759\pi$
$500$	9.67546	+	5.60227i	0.432700	+	0.250541i
$501$	−48.2252			−2.15454
$502$	−4.99616	+	6.87663i	−0.222990	+	0.306919i
$503$	3.81557	−	17.9508i	0.170128	−	0.800389i	−0.807470	−	0.589908i	$-0.799164\pi$
$503$	3.81557	−	17.9508i	0.170128	−	0.800389i	0.977598	−	0.210480i	$-0.0675028\pi$
$504$	6.32438	+	1.34429i	0.281710	+	0.0598794i
$505$	−15.5049	−	1.63616i	−0.689960	−	0.0728083i
$506$	7.86711	−	24.2125i	0.349736	−	1.07638i
$507$	−0.236358	−	0.136461i	−0.0104970	−	0.00606046i
$508$	0.942451	+	4.43388i	0.0418145	+	0.196722i
$509$	−3.87858	−	36.9023i	−0.171915	−	1.63566i	−0.651842	−	0.758355i	$-0.726003\pi$
$509$	−3.87858	−	36.9023i	−0.171915	−	1.63566i	0.479926	−	0.877309i	$-0.340663\pi$
$510$	36.5029	+	7.77483i	1.61638	+	0.344275i
$511$	−1.55209	+	14.7671i	−0.0686602	+	0.653258i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	1.26493	−	5.28518i	0.0558478	−	0.233346i
$514$	−5.84672	−	4.24789i	−0.257888	−	0.187366i
$515$	22.5644	+	25.0813i	0.994305	+	1.10521i
$516$	−14.1881	−	6.31693i	−0.624594	−	0.278087i
$517$	−7.96851	+	7.17488i	−0.350455	+	0.315551i
$518$	13.8138	−	7.97541i	0.606944	−	0.350419i
$519$	7.57927	+	8.41763i	0.332693	+	0.369493i
$520$	1.68045	+	7.92210i	0.0736924	+	0.347407i
$521$	0.996444	+	3.06674i	0.0436550	+	0.134356i	0.970508	−	0.241067i	$-0.0774974\pi$
$521$	0.996444	+	3.06674i	0.0436550	+	0.134356i	−0.926853	+	0.375423i	$0.877497\pi$
$522$	0.785148	−	3.69383i	0.0343650	−	0.161675i
$523$	16.1514	+	36.2766i	0.706251	+	1.58627i	0.806452	+	0.591299i	$0.201385\pi$
$523$	16.1514	+	36.2766i	0.706251	+	1.58627i	−0.100201	+	0.994967i	$0.531949\pi$
$524$	2.71432			0.118576
$525$	3.17759	+	30.4770i	0.138681	+	1.33013i
$526$	10.7948	−	18.6972i	0.470677	−	0.815237i
$527$	−21.5759	−	2.26772i	−0.939863	−	0.0987836i
$528$	−2.84689	+	13.3936i	−0.123895	+	0.582881i
$529$	2.74488	−	3.04850i	0.119343	−	0.132543i
$530$	−10.6089	+	1.11058i	−0.460823	+	0.0482403i
$531$	−7.87900	+	24.2491i	−0.341920	+	1.05232i
$532$	−2.08997	−	11.2323i	−0.0906117	−	0.486984i
$533$	−29.4546	−	9.57039i	−1.27582	−	0.414540i
$534$	−31.3822	−	13.9722i	−1.35804	−	0.604638i
$535$	39.2285	−	17.4461i	1.69600	−	0.754260i
$536$	2.72706	−	1.21416i	0.117791	−	0.0524439i
$537$	12.6784	−	28.4762i	0.547115	−	1.22884i
$538$	5.01420	−	0.527014i	0.216178	−	0.0227212i
$539$	−0.615012	−	0.446832i	−0.0264904	−	0.0192464i
$540$	2.54632	+	1.13497i	0.109576	+	0.0488411i
$541$	−0.470847	−	4.47981i	−0.0202433	−	0.192602i	0.979727	−	0.200338i	$-0.0642041\pi$
$541$	−0.470847	−	4.47981i	−0.0202433	−	0.192602i	−0.999970	+	0.00773623i	$0.997537\pi$
$542$	21.8429	−	19.6674i	0.938232	−	0.844788i
$543$		−	41.2072i		−	1.76837i
$544$	2.20594	−	6.78918i	0.0945789	−	0.291084i
$545$	−0.00638119	+	15.3158i	−0.000273340	+	0.656059i
$546$	−14.8516	+	16.4944i	−0.635590	+	0.705895i
$547$	3.61606	−	17.0122i	0.154612	−	0.727391i	−0.830713	−	0.556701i	$-0.812067\pi$
$547$	3.61606	−	17.0122i	0.154612	−	0.727391i	0.985325	−	0.170690i	$-0.0545997\pi$
$548$	−4.55715	−	0.478976i	−0.194672	−	0.0204609i
$549$	7.69271	+	13.3242i	0.328317	+	0.568661i
$550$	−29.1239	+	3.03651i	−1.24185	+	0.129477i
$551$	−6.56039	+	1.22067i	−0.279482	+	0.0520024i
$552$	5.97435	−	8.22298i	0.254285	−	0.349993i
$553$	16.0940	+	14.4911i	0.684388	+	0.616226i
$554$	−14.3047	+	15.8870i	−0.607750	+	0.674975i
$555$	−30.2631	+	9.81915i	−1.28460	+	0.416800i
$556$	2.70611	−	0.575202i	0.114765	−	0.0243940i
$557$	−16.3102	−	9.41669i	−0.691085	−	0.398998i	0.112934	−	0.993603i	$-0.463975\pi$
$557$	−16.3102	−	9.41669i	−0.691085	−	0.398998i	−0.804018	+	0.594605i	$0.797309\pi$
$558$	7.12984	+	2.31662i	0.301830	+	0.0980705i
$559$	19.4625	−	14.1403i	0.823174	−	0.598071i
$560$	5.86097	+	0.00244191i	0.247671	+	0.000103190i
$561$	−89.2964	+	39.7573i	−3.77010	+	1.67855i
$562$	2.43073	+	3.34561i	0.102534	+	0.141126i
$563$	−17.4037	−	23.9541i	−0.733476	−	1.00954i	−0.998968	−	0.0454304i	$-0.985534\pi$
$563$	−17.4037	−	23.9541i	−0.733476	−	1.00954i	0.265491	−	0.964113i	$-0.414466\pi$
$564$	−3.91086	+	1.74123i	−0.164677	+	0.0733189i
$565$	4.49245	−	7.77367i	0.188999	−	0.327041i
$566$	1.09488	+	10.4171i	0.0460214	+	0.437865i
$567$	5.62144	+	26.4468i	0.236078	+	1.11066i
$568$	−7.70653	+	4.44937i	−0.323359	+	0.186691i
$569$	−11.7381	+	36.1261i	−0.492086	+	1.51449i	0.329363	+	0.944203i	$0.393166\pi$
$569$	−11.7381	+	36.1261i	−0.492086	+	1.51449i	−0.821449	+	0.570282i	$0.806834\pi$
$570$	−0.590007	+	22.7815i	−0.0247127	+	0.954211i
$571$	−8.42798	−	25.9387i	−0.352700	−	1.08550i	−0.957331	−	0.288993i	$-0.906679\pi$
$571$	−8.42798	−	25.9387i	−0.352700	−	1.08550i	0.604631	−	0.796506i	$-0.293321\pi$
$572$	−15.7621	−	14.1922i	−0.659045	−	0.593407i
$573$	61.4079	+	6.45423i	2.56535	+	0.269630i
$574$	−11.2070	+	19.4111i	−0.467771	+	0.810203i
$575$	20.6664	+	6.73396i	0.861848	+	0.280826i
$576$	−1.23339	+	2.13629i	−0.0513911	+	0.0890120i
$577$	26.3386	−	36.2520i	1.09649	−	1.50919i	0.256537	−	0.966535i	$-0.417419\pi$
$577$	26.3386	−	36.2520i	1.09649	−	1.50919i	0.839955	−	0.542656i	$-0.182581\pi$
$578$	32.2971	−	10.4940i	1.34338	−	0.436492i
$579$	59.2559	+	12.5952i	2.46259	+	0.523440i
$580$	0.00142623	−	3.42317i	5.92209e−5	−	0.142139i
$581$	−8.52047	+	26.2233i	−0.353489	+	1.08793i
$582$			29.0275i			1.20323i
$583$	20.7613	−	18.6935i	0.859844	−	0.774207i
$584$	−5.17519	−	2.30414i	−0.214151	−	0.0953462i
$585$	16.1665	−	11.7354i	0.668402	−	0.485197i
$586$	−1.43274	+	13.6316i	−0.0591860	+	0.563117i
$587$	−18.7300	+	42.0682i	−0.773068	+	1.73634i	−0.102200	+	0.994764i	$0.532588\pi$
$587$	−18.7300	+	42.0682i	−0.773068	+	1.73634i	−0.670869	+	0.741576i	$0.734079\pi$
$588$	−0.178395	−	0.245540i	−0.00735689	−	0.0101259i
$589$	−1.04865	−	13.2055i	−0.0432089	−	0.544125i
$590$	−2.42548	+	22.9848i	−0.0998554	+	0.946268i
$591$	4.87689	+	2.17133i	0.200609	+	0.0893167i
$592$	1.26525	+	5.95255i	0.0520016	+	0.244648i
$593$	−17.9307	−	10.3523i	−0.736325	−	0.425118i	0.0844064	−	0.996431i	$-0.473101\pi$
$593$	−17.9307	−	10.3523i	−0.736325	−	0.425118i	−0.820732	+	0.571314i	$0.806434\pi$
$594$	−7.14183	+	1.51804i	−0.293033	+	0.0622860i
$595$	24.5782	+	33.8587i	1.00761	+	1.38807i
$596$	2.11840	+	6.51975i	0.0867728	+	0.267059i
$597$	−3.68585	+	1.19761i	−0.150852	+	0.0490148i
$598$	6.40372	+	14.3830i	0.261867	+	0.588164i
$599$	−0.342139	+	0.592603i	−0.0139794	+	0.0242131i	−0.872930	−	0.487845i	$-0.837783\pi$
$599$	−0.342139	+	0.592603i	−0.0139794	+	0.0242131i	0.858951	+	0.512058i	$0.171117\pi$
$600$	−11.4331	−	2.44013i	−0.466753	−	0.0996180i
$601$	−12.1970			−0.497526			−0.248763	−	0.968564i	$-0.580024\pi$
$601$	−12.1970			−0.497526			−0.248763	+	0.968564i	$0.580024\pi$
$602$	−7.08150	−	15.9053i	−0.288620	−	0.648252i
$603$	−5.47226	−	4.92724i	−0.222848	−	0.200653i
$604$	−12.4491	−	2.64614i	−0.506547	−	0.107670i
$605$	38.7273	−	34.8410i	1.57449	−	1.41649i
$606$	15.9463	−	3.38948i	0.647773	−	0.137688i
$607$			34.9233i			1.41749i	0.705463	+	0.708746i	$0.250739\pi$
$607$			34.9233i			1.41749i	−0.705463	+	0.708746i	$0.749261\pi$
$608$	4.32201	+	0.565909i	0.175281	+	0.0229506i
$609$	7.59016	−	5.51458i	0.307569	−	0.223462i
$610$	9.32771	+	10.3682i	0.377668	+	0.419794i
$611$	0.693145	−	6.59483i	0.0280416	−	0.266798i
$612$	−17.5128	+	1.84067i	−0.707912	+	0.0744045i
$613$	−14.2097	+	31.9155i	−0.573925	+	1.28906i	0.360455	+	0.932777i	$0.382621\pi$
$613$	−14.2097	+	31.9155i	−0.573925	+	1.28906i	−0.934380	+	0.356279i	$0.884045\pi$
$614$	23.5084	−	10.4666i	0.948722	−	0.422398i
$615$	29.9293	−	33.2120i	1.20687	−	1.33924i
$616$	−12.4185	+	9.02256i	−0.500355	+	0.363529i
$617$	−32.9601	+	29.6774i	−1.32693	+	1.19477i	−0.362020	+	0.932170i	$0.617913\pi$
$617$	−32.9601	+	29.6774i	−1.32693	+	1.19477i	−0.964905	+	0.262599i	$0.915420\pi$
$618$	−30.5509	−	17.6386i	−1.22894	−	0.709528i
$619$	4.08283	−	12.5657i	0.164103	−	0.505057i	−0.834866	−	0.550453i	$-0.814455\pi$
$619$	4.08283	−	12.5657i	0.164103	−	0.505057i	0.998969	+	0.0453961i	$0.0144550\pi$
$620$	6.75810	+	0.713152i	0.271412	+	0.0286409i
$621$	5.30138	+	1.12684i	0.212737	+	0.0452186i
$622$	−13.4379	−	12.0996i	−0.538812	−	0.485148i
$623$	−15.6634	−	35.1805i	−0.627540	−	1.40948i
$624$	−4.23397	−	7.33346i	−0.169495	−	0.293573i
$625$	−2.57177	−	24.8674i	−0.102871	−	0.994695i
$626$	−27.8427			−1.11282
$627$	−33.8409	−	49.1646i	−1.35147	−	1.96345i
$628$	6.98817	−	2.27059i	0.278858	−	0.0906066i
$629$	−29.0684	+	32.2837i	−1.15903	+	1.28723i
$630$	−5.87496	−	13.2102i	−0.234064	−	0.526307i
$631$	−5.01043	−	5.56464i	−0.199462	−	0.221525i	0.635113	−	0.772419i	$-0.280953\pi$
$631$	−5.01043	−	5.56464i	−0.199462	−	0.221525i	−0.834575	+	0.550894i	$0.814287\pi$
$632$	−7.15547	+	4.13121i	−0.284629	+	0.164331i
$633$	1.14127	−	1.02761i	0.0453615	−	0.0408436i
$634$	6.25810	−	4.54677i	0.248541	−	0.180575i
$635$	6.78542	−	7.52966i	0.269271	−	0.298806i
$636$	10.1894	−	4.53662i	0.404037	−	0.179889i
$637$	0.467548	−	0.0491413i	0.0185249	−	0.00194705i
$638$	5.26974	+	7.25317i	0.208631	+	0.287156i
$639$	17.7589	+	12.9026i	0.702530	+	0.510418i
$640$	−0.691869	+	2.12634i	−0.0273485	+	0.0840509i
$641$	11.1211	+	4.95145i	0.439258	+	0.195570i	0.614436	−	0.788966i	$-0.289383\pi$
$641$	11.1211	+	4.95145i	0.439258	+	0.195570i	−0.175178	+	0.984537i	$0.556050\pi$
$642$	−33.3615	+	30.0388i	−1.31667	+	1.18554i
$643$	5.70366	−	3.29301i	0.224930	−	0.129864i	−0.383301	−	0.923624i	$-0.625213\pi$
$643$	5.70366	−	3.29301i	0.224930	−	0.129864i	0.608231	+	0.793760i	$0.291879\pi$
$644$	11.1454	−	2.36902i	0.439190	−	0.0933526i
$645$	7.20617	+	33.9720i	0.283743	+	1.33764i
$646$	14.8667	+	27.3351i	0.584921	+	1.07548i
$647$	−25.0941	+	8.15358i	−0.986552	+	0.320550i	−0.757479	−	0.652859i	$-0.773569\pi$
$647$	−25.0941	+	8.15358i	−0.986552	+	0.320550i	−0.229073	+	0.973409i	$0.573569\pi$
$648$	−10.2588	−	1.07825i	−0.403005	−	0.0423576i
$649$	−30.2661	−	52.4224i	−1.18805	−	2.05776i
$650$	12.1282	−	13.4471i	0.475706	−	0.527440i
$651$	9.31246	+	16.1296i	0.364984	+	0.632171i
$652$	−8.86522	−	19.9116i	−0.347189	−	0.779799i
$653$	−13.5124	+	4.39044i	−0.528780	+	0.171811i	−0.561226	−	0.827662i	$-0.689670\pi$
$653$	−13.5124	+	4.39044i	−0.528780	+	0.171811i	0.0324461	+	0.999473i	$0.489670\pi$
$654$	−4.94884	−	15.2310i	−0.193515	−	0.595578i
$655$	−3.56546	−	4.91174i	−0.139314	−	0.191917i
$656$	−5.72197	−	6.35489i	−0.223405	−	0.248117i
$657$			13.9742i			0.545184i
$658$	−4.56423	−	1.48301i	−0.177932	−	0.0578137i
$659$	0.352468	+	3.35351i	0.0137302	+	0.130634i	0.999240	−	0.0389858i	$-0.0124127\pi$
$659$	0.352468	+	3.35351i	0.0137302	+	0.130634i	−0.985510	+	0.169620i	$0.945746\pi$
$660$	27.9762	−	12.4418i	1.08897	−	0.484297i
$661$	−18.8108	+	8.37511i	−0.731655	+	0.325754i	−0.738528	−	0.674222i	$-0.764479\pi$
$661$	−18.8108	+	8.37511i	−0.731655	+	0.325754i	0.00687304	+	0.999976i	$0.497812\pi$
$662$	8.68931	−	19.5165i	0.337720	−	0.758531i
$663$	24.5868	−	55.2230i	0.954874	−	2.14468i
$664$	−8.51048	−	6.18323i	−0.330271	−	0.239956i
$665$	−17.5803	+	18.5365i	−0.681736	+	0.718813i
$666$	12.1447	−	8.82361i	0.470596	−	0.341908i
$667$	−1.38366	−	6.50960i	−0.0535754	−	0.252053i
$668$	17.8624	−	10.3128i	0.691116	−	0.399016i
$669$	0.0971379	+	0.107883i	0.00375557	+	0.00417098i
$670$	−5.77930	−	3.33989i	−0.223274	−	0.129031i
$671$	−35.7282	−	7.59427i	−1.37927	−	0.293173i
$672$	−5.82849	+	1.89379i	−0.224839	+	0.0730546i
$673$	−2.65370	+	3.65250i	−0.102292	+	0.140793i	−0.857095	−	0.515159i	$-0.827733\pi$
$673$	−2.65370	+	3.65250i	−0.102292	+	0.140793i	0.754802	+	0.655953i	$0.227733\pi$
$674$	9.48293	−	16.4249i	0.365269	−	0.632664i
$675$	−1.29098	−	6.09859i	−0.0496900	−	0.234735i
$676$	0.116728			0.00448953
$677$	5.06734	−	6.97459i	0.194754	−	0.268055i	−0.700461	−	0.713691i	$-0.747022\pi$
$677$	5.06734	−	6.97459i	0.194754	−	0.268055i	0.895215	+	0.445635i	$0.147022\pi$
$678$	−1.95191	+	9.18301i	−0.0749626	+	0.352671i
$679$	−21.7740	+	24.1825i	−0.835611	+	0.928040i
$680$	−15.1831	+	4.92631i	−0.582247	+	0.188915i
$681$	34.3228	−	7.29553i	1.31525	−	0.279565i
$682$	−15.4135	+	8.89900i	−0.590214	+	0.340760i
$683$	29.2655	+	9.50895i	1.11982	+	0.363850i	0.809697	−	0.586848i	$-0.199631\pi$
$683$	29.2655	+	9.50895i	1.11982	+	0.363850i	0.310118	+	0.950698i	$0.399631\pi$
$684$	−3.06110	−	10.3075i	−0.117044	−	0.394116i
$685$	5.11942	+	8.87564i	0.195603	+	0.339121i
$686$	1.95343	−	18.5856i	0.0745821	−	0.709602i
$687$	12.2827	−	27.5874i	0.468615	−	1.05253i
$688$	6.60605	−	0.694323i	0.251853	−	0.0264708i
$689$	−1.80593	+	17.1823i	−0.0688005	+	0.654593i
$690$	−22.7278	−	0.00946929i	−0.865231	−	0.000360490i
$691$	−16.0164	+	11.6366i	−0.609293	+	0.442677i	−0.849165	−	0.528127i	$-0.822894\pi$
$691$	−16.0164	+	11.6366i	−0.609293	+	0.442677i	0.239872	+	0.970805i	$0.422894\pi$
$692$	−4.60741	−	1.49704i	−0.175148	−	0.0569089i
$693$	32.7922	+	18.9326i	1.24567	+	0.719190i
$694$	0.146070	+	0.162227i	0.00554475	+	0.00615807i
$695$	−4.59554	−	4.14131i	−0.174319	−	0.157089i
$696$	1.10609	+	3.40420i	0.0419263	+	0.129036i
$697$	12.6918	−	59.7104i	0.480738	−	2.26169i
$698$	4.26652	+	0.448429i	0.161490	+	0.0169733i
$699$	8.22524	−	14.2465i	0.311107	−	0.538854i
$700$	−7.69440	−	10.6090i	−0.290821	−	0.400983i
$701$	8.58821	+	14.8752i	0.324372	+	0.561829i	0.981385	−	0.192050i	$-0.0615136\pi$
$701$	8.58821	+	14.8752i	0.324372	+	0.561829i	−0.657013	+	0.753879i	$0.728180\pi$
$702$	2.65405	−	3.65299i	0.100171	−	0.137873i
$703$	−22.6271	−	13.8440i	−0.853396	−	0.522136i
$704$	−1.80971	−	5.56972i	−0.0682060	−	0.209917i
$705$	8.28807	+	4.78972i	0.312147	+	0.180391i
$706$	12.1578	−	2.58422i	0.457564	−	0.0972583i
$707$	15.8272	+	9.13784i	0.595243	+	0.343664i
$708$	−5.02463	−	23.6390i	−0.188837	−	0.888409i
$709$	−4.62459	−	44.0001i	−0.173680	−	1.65246i	−0.640392	−	0.768048i	$-0.721228\pi$
$709$	−4.62459	−	44.0001i	−0.173680	−	1.65246i	0.466712	−	0.884409i	$-0.345439\pi$
$710$	18.1745	+	8.10089i	0.682078	+	0.304021i
$711$	16.4890	+	11.9800i	0.618385	+	0.449283i
$712$	14.6117	−	1.53576i	0.547598	−	0.0575549i
$713$	13.1391	−	1.38097i	0.492062	−	0.0517178i
$714$	−35.3931	−	25.7146i	−1.32455	−	0.962345i
$715$	−4.97711	+	47.1650i	−0.186133	+	1.76387i
$716$	1.39355	+	13.2587i	0.0520793	+	0.495501i
$717$	−1.69025	−	7.95202i	−0.0631237	−	0.296974i
$718$	−9.89293	−	5.71168i	−0.369201	−	0.213158i
$719$	38.0520	−	8.08821i	1.41910	−	0.301639i	0.566440	−	0.824103i	$-0.308320\pi$
$719$	38.0520	−	8.08821i	1.41910	−	0.301639i	0.852661	+	0.522464i	$0.174987\pi$
$720$	5.48589	−	0.574280i	0.204447	−	0.0214021i
$721$	−12.2207	−	37.6114i	−0.455122	−	1.40072i
$722$	−14.7489	+	11.9779i	−0.548898	+	0.445770i
$723$	0.528704	−	0.727698i	0.0196627	−	0.0270634i
$724$	8.81206	+	15.2629i	0.327498	+	0.567243i
$725$	−6.19632	+	4.49401i	−0.230126	+	0.166903i
$726$	−27.2353	+	47.1729i	−1.01080	+	1.75075i
$727$	45.3773	+	4.76935i	1.68295	+	0.176885i	0.897190	−	0.441644i	$-0.145605\pi$
$727$	45.3773	+	4.76935i	1.68295	+	0.176885i	0.785762	+	0.618529i	$0.212271\pi$
$728$	1.97368	−	9.28542i	0.0731493	−	0.344141i
$729$	5.16074	+	15.8831i	0.191139	+	0.588264i
$730$	2.62850	+	12.3915i	0.0972852	+	0.458630i
$731$	31.7285	+	35.2381i	1.17352	+	1.30333i
$732$	−12.6292	−	7.29148i	−0.466789	−	0.269501i
$733$	39.8641	+	12.9526i	1.47241	+	0.478416i	0.931837	−	0.362878i	$-0.118206\pi$
$733$	39.8641	+	12.9526i	1.47241	+	0.478416i	0.540577	+	0.841294i	$0.318206\pi$
$734$	10.2866	−	7.47363i	0.379684	−	0.275857i
$735$	−0.209985	+	0.645352i	−0.00774541	+	0.0238042i
$736$	−0.454402	+	4.32335i	−0.0167495	+	0.159361i
$737$	17.3862	−	1.82737i	0.640430	−	0.0673119i
$738$	−8.57980	+	19.2705i	−0.315827	+	0.709358i
$739$	4.92789	−	46.8858i	0.181275	−	1.72472i	−0.404750	−	0.914427i	$-0.632641\pi$
$739$	4.92789	−	46.8858i	0.181275	−	1.72472i	0.586025	−	0.810293i	$-0.300692\pi$
$740$	9.10951	−	10.1087i	0.334872	−	0.371602i
$741$	35.8971	+	8.59142i	1.31871	+	0.315614i
$742$	11.8917	+	3.86385i	0.436559	+	0.141847i
$743$	25.5074	−	14.7267i	0.935776	−	0.540271i	0.0471423	−	0.998888i	$-0.484989\pi$
$743$	25.5074	−	14.7267i	0.935776	−	0.540271i	0.888634	+	0.458618i	$0.151655\pi$
$744$	−6.95047	+	1.47737i	−0.254817	+	0.0541629i
$745$	9.01524	−	12.3975i	0.330293	−	0.454211i
$746$	−2.41135	+	2.67807i	−0.0882856	+	0.0980511i
$747$	−5.39516	+	25.3823i	−0.197399	+	0.928688i
$748$	24.5729	−	33.8217i	0.898475	−	1.23664i
$749$	−50.3258			−1.83886
$750$	10.6026	+	23.8942i	0.387152	+	0.872492i
$751$	16.8916	−	29.2571i	0.616383	−	1.06761i	−0.373757	−	0.927527i	$-0.621930\pi$
$751$	16.8916	−	29.2571i	0.616383	−	1.06761i	0.990140	−	0.140081i	$-0.0447362\pi$
$752$	1.07621	−	1.48127i	0.0392452	−	0.0540164i
$753$	−18.9012	+	6.14138i	−0.688798	+	0.223804i
$754$	−5.42326	−	1.15275i	−0.197504	−	0.0419807i
$755$	11.5645	+	26.0034i	0.420874	+	0.946359i
$756$	−2.18662	−	2.42849i	−0.0795266	−	0.0883233i
$757$	−37.2639	+	21.5143i	−1.35438	+	0.781952i	−0.988860	−	0.148851i	$-0.952442\pi$
$757$	−37.2639	+	21.5143i	−1.35438	+	0.781952i	−0.365521	+	0.930803i	$0.619109\pi$
$758$	−1.25064	−	5.88381i	−0.0454254	−	0.213710i
$759$	48.1566	−	34.9878i	1.74797	−	1.26998i
$760$	−4.65323	−	8.56431i	−0.168790	−	0.310660i
$761$	−26.7677	−	19.4478i	−0.970327	−	0.704984i	−0.0148006	−	0.999890i	$-0.504711\pi$
$761$	−26.7677	−	19.4478i	−0.970327	−	0.704984i	−0.955526	+	0.294907i	$0.904711\pi$
$762$	−4.31081	+	9.68224i	−0.156164	+	0.350750i
$763$	7.30220	−	16.4010i	0.264357	−	0.593756i
$764$	−24.1254	+	10.7413i	−0.872827	+	0.388608i
$765$	26.3351	+	29.2726i	0.952148	+	1.05835i
$766$	−3.85645	−	36.6916i	−0.139339	−	1.32572i
$767$	35.6024	+	11.5679i	1.28553	+	0.417693i
$768$		−	2.33811i		−	0.0843694i
$769$	−2.28867	−	2.54182i	−0.0825314	−	0.0916604i	0.700465	−	0.713687i	$-0.252976\pi$
$769$	−2.28867	−	2.54182i	−0.0825314	−	0.0916604i	−0.782996	+	0.622027i	$0.786309\pi$
$770$	32.6395	+	10.6203i	1.17625	+	0.382728i
$771$	−5.22159	−	16.0704i	−0.188051	−	0.578761i
$772$	−24.6415	+	8.00652i	−0.886868	+	0.288161i
$773$	−12.5535	−	28.1955i	−0.451516	−	1.01412i	−0.985662	−	0.168730i	$-0.946033\pi$
$773$	−12.5535	−	28.1955i	−0.451516	−	1.01412i	0.534146	−	0.845392i	$-0.320633\pi$
$774$	−8.19269	−	14.1901i	−0.294480	−	0.510054i
$775$	−7.58677	−	13.1660i	−0.272525	−	0.472936i
$776$	−6.20746	−	10.7516i	−0.222835	−	0.385961i
$777$	37.0905	+	3.89837i	1.33061	+	0.139853i
$778$	7.01051	−	2.27785i	0.251339	−	0.0816649i
$779$	37.2624	+	0.949506i	1.33506	+	0.0340196i
$780$	−7.70873	+	17.2947i	−0.276017	+	0.619249i
$781$	−50.9753	+	10.8351i	−1.82404	+	0.387712i
$782$	−26.8750	+	15.5163i	−0.961047	+	0.554861i
$783$	−1.41839	+	1.27712i	−0.0506891	+	0.0456406i
$784$	0.118585	+	0.0527974i	0.00423517	+	0.00188562i
$785$	−13.2883	−	9.66295i	−0.474279	−	0.344886i
$786$	5.13434	+	3.73031i	0.183136	+	0.133056i
$787$	−17.0671	−	23.4909i	−0.608377	−	0.837359i	0.388066	−	0.921632i	$-0.373143\pi$
$787$	−17.0671	−	23.4909i	−0.608377	−	0.837359i	−0.996443	+	0.0842724i	$0.973143\pi$
$788$	−2.27071	+	0.238661i	−0.0808907	+	0.00850196i
$789$	46.1149	−	20.5317i	1.64174	−	0.730948i
$790$	16.8749	+	7.52163i	0.600383	+	0.267607i
$791$	−8.51446	+	6.18612i	−0.302739	+	0.219953i
$792$	−10.7357	+	9.66644i	−0.381476	+	0.343482i
$793$	19.5625	−	11.2944i	0.694683	−	0.401076i
$794$	8.27811	+	9.19377i	0.293779	+	0.326275i
$795$	−21.5939	−	12.4792i	−0.765855	−	0.442592i
$796$	1.10912	−	1.23180i	0.0393116	−	0.0436600i
$797$	4.77225	−	1.55060i	0.169042	−	0.0549250i	−0.223273	−	0.974756i	$-0.571674\pi$
$797$	4.77225	−	1.55060i	0.169042	−	0.0549250i	0.392315	+	0.919831i	$0.371674\pi$
$798$	11.4834	−	24.1191i	0.406507	−	0.853806i
$799$	13.0704			0.462397
$800$	4.75657	−	1.54112i	0.168170	−	0.0544869i
$801$	−18.1212	−	31.3868i	−0.640281	−	1.10900i
$802$	−12.8447	−	28.8497i	−0.453562	−	1.01872i
$803$	−24.6545	−	22.1990i	−0.870040	−	0.783387i
$804$	6.82706	+	1.45114i	0.240772	+	0.0511777i
$805$	−18.9272	−	17.0564i	−0.667096	−	0.601159i
$806$	3.40126	−	10.4680i	0.119804	−	0.368719i
$807$	10.2090	+	5.89418i	0.359374	+	0.207485i
$808$	−5.18158	+	4.66552i	−0.182287	+	0.164132i
$809$	−25.4444	+	18.4864i	−0.894576	+	0.649948i	−0.937067	−	0.349149i	$-0.886471\pi$
$809$	−25.4444	+	18.4864i	−0.894576	+	0.649948i	0.0424910	+	0.999097i	$0.486471\pi$
$810$	11.5246	+	19.9804i	0.404933	+	0.702040i
$811$	36.3308	−	16.1755i	1.27575	−	0.567999i	0.346705	−	0.937974i	$-0.387300\pi$
$811$	36.3308	−	16.1755i	1.27575	−	0.567999i	0.929042	+	0.369975i	$0.120634\pi$
$812$	−1.63208	+	3.66571i	−0.0572748	+	0.128641i
$813$	68.3465	−	7.18351i	2.39702	−	0.251937i
$814$	−3.72529	+	35.4437i	−0.130571	+	1.24230i
$815$	−24.3862	+	42.1976i	−0.854212	+	1.47812i
$816$	13.5031	−	9.81060i	0.472704	−	0.343440i
$817$	−17.6097	+	22.9829i	−0.616086	+	0.804070i
$818$		−	10.0798i		−	0.352431i
$819$	−22.9050	+	4.86861i	−0.800366	+	0.170123i
$820$	−3.98335	+	18.7019i	−0.139105	+	0.653098i
$821$	6.37928	+	1.35596i	0.222638	+	0.0473232i	0.317880	−	0.948131i	$-0.397029\pi$
$821$	6.37928	+	1.35596i	0.222638	+	0.0473232i	−0.0952417	+	0.995454i	$0.530362\pi$
$822$	−7.96193	−	7.16895i	−0.277704	−	0.250046i
$823$	3.74916	+	8.42076i	0.130688	+	0.293529i	0.967023	−	0.254689i	$-0.0819731\pi$
$823$	3.74916	+	8.42076i	0.130688	+	0.293529i	−0.836335	+	0.548218i	$0.815306\pi$
$824$	15.0879			0.525612
$825$	−59.2630	−	34.2814i	−2.06327	−	1.19353i
$826$	13.5461	−	23.4625i	0.471329	−	0.816366i
$827$	−8.51107	−	19.1162i	−0.295959	−	0.664735i	0.702960	−	0.711230i	$-0.251861\pi$
$827$	−8.51107	−	19.1162i	−0.295959	−	0.664735i	−0.998919	+	0.0464952i	$0.985195\pi$
$828$	10.1986	−	3.31373i	0.354427	−	0.115160i
$829$	−4.03201	−	12.4093i	−0.140038	−	0.430991i	0.856302	−	0.516476i	$-0.172756\pi$
$829$	−4.03201	−	12.4093i	−0.140038	−	0.430991i	−0.996340	+	0.0854841i	$0.972756\pi$
$830$	−0.00980037	+	23.5224i	−0.000340176	+	0.816474i
$831$	−48.8921	+	10.3923i	−1.69605	+	0.360506i
$832$	3.13649	+	1.81085i	0.108738	+	0.0627800i
$833$	0.192659	+	0.906389i	0.00667524	+	0.0314045i
$834$	5.90931	+	2.63100i	0.204623	+	0.0911040i
$835$	−42.1253	−	18.7764i	−1.45781	−	0.649785i
$836$	23.0482	+	10.9735i	0.797140	+	0.379528i
$837$	−2.22711	−	3.06535i	−0.0769801	−	0.105954i
$838$	−10.7935	+	24.2425i	−0.372854	+	0.837443i
$839$	−2.78353	+	26.4835i	−0.0960980	+	0.914312i	0.835174	+	0.549986i	$0.185367\pi$
$839$	−2.78353	+	26.4835i	−0.0960980	+	0.914312i	−0.931272	+	0.364325i	$0.881300\pi$
$840$	11.0831	+	8.05940i	0.382403	+	0.278076i
$841$	−24.3518	−	10.8421i	−0.839718	−	0.373866i
$842$	−13.8704	+	12.4889i	−0.478004	+	0.430397i
$843$			9.66904i			0.333019i
$844$	−0.202970	+	0.624678i	−0.00698652	+	0.0215023i
$845$	−0.153330	−	0.211226i	−0.00527473	−	0.00726641i
$846$	−4.41784	−	0.939041i	−0.151889	−	0.0322849i
$847$	−58.0747	+	18.8696i	−1.99547	+	0.648368i
$848$	−2.80396	+	3.85933i	−0.0962885	+	0.132530i
$849$	−12.2453	+	21.2095i	−0.420257	+	0.727907i
$850$	28.8586	+	21.0038i	0.989843	+	0.720424i
$851$	13.2274	−	22.9105i	0.453429	−	0.785363i
$852$	−20.6923	−	2.17485i	−0.708906	−	0.0745090i
$853$	6.24804	+	5.62576i	0.213929	+	0.192622i	0.769127	−	0.639095i	$-0.220691\pi$
$853$	6.24804	+	5.62576i	0.213929	+	0.192622i	−0.555199	+	0.831718i	$0.687358\pi$
$854$	−5.05181	−	15.5479i	−0.172869	−	0.532037i
$855$	−14.6310	+	19.0789i	−0.500371	+	0.652484i
$856$	5.93319	−	18.2605i	0.202792	−	0.624131i
$857$	−0.860601	+	0.496868i	−0.0293976	+	0.0169727i	−0.514627	−	0.857414i	$-0.672069\pi$
$857$	−0.860601	+	0.496868i	−0.0293976	+	0.0169727i	0.485229	+	0.874387i	$0.338736\pi$
$858$	−10.3106	−	48.5076i	−0.351998	−	1.65602i
$859$	−0.601741	−	5.72518i	−0.0205311	−	0.195341i	0.979449	−	0.201693i	$-0.0646445\pi$
$859$	−0.601741	−	5.72518i	−0.0205311	−	0.195341i	−0.999980	+	0.00635288i	$0.997978\pi$
$860$	−9.93395	−	11.0420i	−0.338745	−	0.376530i
$861$	−47.8756	+	21.3156i	−1.63160	+	0.726434i
$862$	−3.24353	−	4.46434i	−0.110475	−	0.152056i
$863$	5.03964	+	6.93646i	0.171551	+	0.236120i	0.886132	−	0.463433i	$-0.153383\pi$
$863$	5.03964	+	6.93646i	0.171551	+	0.236120i	−0.714581	+	0.699553i	$0.753383\pi$
$864$	1.13896	−	0.507098i	0.0387482	−	0.0172518i
$865$	3.34319	+	10.3039i	0.113672	+	0.350343i
$866$	−20.5040	+	14.8971i	−0.696755	+	0.506222i
$867$	75.5143	+	24.5361i	2.56460	+	0.833289i
$868$	−6.89857	−	3.98289i	−0.234153	−	0.135188i
$869$	−47.3302	+	10.0603i	−1.60557	+	0.341274i
$870$	4.70719	−	6.47322i	0.159589	−	0.219463i
$871$	−7.23415	+	8.03434i	−0.245120	+	0.272233i
$872$	5.09014	+	4.58318i	0.172374	+	0.155206i
$873$	−18.0008	+	24.7760i	−0.609234	+	0.838539i
$874$	−12.3164	−	14.4002i	−0.416610	−	0.487093i
$875$	−9.09052	+	27.8592i	−0.307316	+	0.941814i
$876$	−6.62265	−	11.4708i	−0.223759	−	0.387561i
$877$	−32.9058	−	3.45854i	−1.11115	−	0.116787i	−0.468879	−	0.883263i	$-0.655342\pi$
$877$	−32.9058	−	3.45854i	−1.11115	−	0.116787i	−0.642273	+	0.766476i	$0.722008\pi$
$878$	0.233728	−	1.09960i	0.00788792	−	0.0371098i
$879$	−21.4442	+	23.8162i	−0.723295	+	0.803300i
$880$	−7.70157	+	10.5910i	−0.259620	+	0.357023i
$881$	−13.5617	+	41.7387i	−0.456906	+	1.40621i	0.411977	+	0.911194i	$0.364838\pi$
$881$	−13.5617	+	41.7387i	−0.456906	+	1.40621i	−0.868883	+	0.495017i	$0.835162\pi$
$882$		−	0.320205i		−	0.0107819i
$883$	6.76429	−	6.09059i	0.227636	−	0.204965i	−0.547418	−	0.836859i	$-0.684389\pi$
$883$	6.76429	−	6.09059i	0.227636	−	0.204965i	0.775054	+	0.631895i	$0.217722\pi$
$884$	2.70246	+	25.7122i	0.0908934	+	0.864793i
$885$	−36.1761	+	40.1440i	−1.21605	+	1.34943i
$886$	−24.0386	−	17.4651i	−0.807593	−	0.586751i
$887$	−35.2780	+	3.70787i	−1.18452	+	0.124498i	−0.676232	−	0.736689i	$-0.736388\pi$
$887$	−35.2780	+	3.70787i	−1.18452	+	0.124498i	−0.508288	+	0.861187i	$0.669722\pi$
$888$	−5.78732	+	12.9985i	−0.194210	+	0.436202i
$889$	−10.8541	+	4.83257i	−0.364036	+	0.162079i
$890$	−21.9726	−	24.4235i	−0.736525	−	0.818679i
$891$	−55.1875	−	24.5711i	−1.84885	−	0.823162i
$892$	−0.0590499	−	0.0191865i	−0.00197714	−	0.000642410i
$893$	1.45993	+	7.84626i	0.0488548	+	0.262565i
$894$	−4.95305	+	15.2439i	−0.165655	+	0.509833i
$895$	22.1620	−	19.9380i	0.740793	−	0.666454i
$896$	1.75386	−	1.94786i	0.0585924	−	0.0650735i
$897$	−7.65356	+	36.0072i	−0.255545	+	1.20224i
$898$	−7.87532	−	0.827729i	−0.262803	−	0.0276217i
$899$	−2.32626	+	4.02920i	−0.0775850	+	0.134381i
$900$	−8.24532	−	9.17272i	−0.274844	−	0.305757i
$901$	−34.0538			−1.13450
$902$	−20.3692	−	45.7500i	−0.678221	−	1.52331i
$903$	8.46362	−	39.8182i	0.281652	−	1.32507i
$904$	−1.24079	−	3.81875i	−0.0412680	−	0.127010i
$905$	16.0440	−	35.9950i	0.533320	−	1.19651i
$906$	−19.9118	−	22.1143i	−0.661525	−	0.734698i
$907$	−12.8786	+	7.43545i	−0.427626	+	0.246890i	−0.698335	−	0.715771i	$-0.746075\pi$
$907$	−12.8786	+	7.43545i	−0.427626	+	0.246890i	0.270709	+	0.962661i	$0.412742\pi$
$908$	−11.1529	+	10.0421i	−0.370120	+	0.333258i
$909$	15.7126	+	6.99570i	0.521154	+	0.232033i
$910$	−19.3951	+	8.62559i	−0.642943	+	0.285936i
$911$	−30.5413	−	22.1896i	−1.01188	−	0.735173i	−0.0472761	−	0.998882i	$-0.515054\pi$
$911$	−30.5413	−	22.1896i	−1.01188	−	0.735173i	−0.964602	+	0.263709i	$0.915054\pi$
$912$	7.39766	+	7.01023i	0.244961	+	0.232132i
$913$	−36.2111	−	49.8404i	−1.19841	−	1.64948i
$914$	−1.04761	+	9.96732i	−0.0346518	+	0.329689i
$915$	3.39500	+	32.4313i	0.112235	+	1.07214i
$916$	1.35005	+	12.8449i	0.0446069	+	0.424407i
$917$	1.47919	+	6.95905i	0.0488472	+	0.229808i
$918$	7.70762	+	4.44999i	0.254389	+	0.146872i
$919$	−5.85418	+	18.0173i	−0.193111	+	0.594336i	0.806882	+	0.590713i	$0.201153\pi$
$919$	−5.85418	+	18.0173i	−0.193111	+	0.594336i	−0.999993	+	0.00362324i	$0.998847\pi$
$920$	8.42027	−	4.85677i	0.277608	−	0.160123i
$921$	58.8522	+	12.5094i	1.93925	+	0.412200i
$922$	−7.86901	+	37.0208i	−0.259152	+	1.21921i
$923$	18.9435	−	26.0735i	0.623532	−	0.858219i
$924$	−35.8903			−1.18070
$925$	−30.2583	−	3.20577i	−0.994887	−	0.105405i
$926$	−17.3364	−	30.0275i	−0.569709	−	0.986765i
$927$	−15.1381	−	34.0007i	−0.497200	−	1.11673i
$928$	−1.13767	−	1.02436i	−0.0373459	−	0.0336264i
$929$	6.09479	−	6.76895i	0.199964	−	0.222082i	−0.634820	−	0.772660i	$-0.718926\pi$
$929$	6.09479	−	6.76895i	0.199964	−	0.222082i	0.834784	+	0.550578i	$0.185593\pi$
$930$	11.8033	+	10.6367i	0.387047	+	0.348791i
$931$	−0.522594	+	0.216897i	−0.0171273	+	0.00710850i
$932$			7.03580i			0.230465i
$933$	−8.79029	−	41.3551i	−0.287781	−	1.35390i
$934$	24.6227	+	10.9627i	0.805680	+	0.358712i
$935$	−93.4809	−	0.0389479i	−3.05715	−	0.00127373i
$936$	0.933848	−	8.88497i	0.0305238	−	0.290414i
$937$	4.08389	−	0.429234i	0.133415	−	0.0140225i	−0.0375857	−	0.999293i	$-0.511967\pi$
$937$	4.08389	−	0.429234i	0.133415	−	0.0140225i	0.171000	+	0.985271i	$0.445300\pi$
$938$	4.59904	+	6.33004i	0.150164	+	0.206683i
$939$	−52.6666	−	38.2645i	−1.71871	−	1.24872i
$940$	−4.09413	−	0.00170578i	−0.133536	−	5.56363e-5i
$941$	1.41745	+	13.4861i	0.0462074	+	0.439634i	0.993029	+	0.117874i	$0.0376078\pi$
$941$	1.41745	+	13.4861i	0.0462074	+	0.439634i	−0.946821	+	0.321760i	$0.895726\pi$
$942$	16.3391	+	5.30891i	0.532358	+	0.172974i
$943$			37.1741i			1.21056i
$944$	6.91625	+	7.68127i	0.225105	+	0.250004i
$945$	−1.52222	+	7.14683i	−0.0495178	+	0.232486i
$946$	38.0503	+	8.08785i	1.23712	+	0.262959i
$947$	−19.7198	−	17.7558i	−0.640808	−	0.576986i	0.283341	−	0.959019i	$-0.408557\pi$
$947$	−19.7198	−	17.7558i	−0.640808	−	0.576986i	−0.924149	+	0.382033i	$0.875224\pi$
$948$	−19.2126	−	2.01933i	−0.623998	−	0.0655848i
$949$	20.5168			0.666003
$950$	−9.38532	+	19.6702i	−0.304500	+	0.638185i
$951$	18.0863			0.586489
$952$	18.6084	+	1.95583i	0.603103	+	0.0633887i
$953$	−2.57441	−	2.31801i	−0.0833935	−	0.0750878i	0.626380	−	0.779518i	$-0.284536\pi$
$953$	−2.57441	−	2.31801i	−0.0833935	−	0.0750878i	−0.709773	+	0.704430i	$0.751203\pi$
$954$	11.5103	+	2.44659i	0.372660	+	0.0792114i
$955$	51.1276	+	29.5470i	1.65445	+	0.956118i
$956$	2.32658	+	2.58393i	0.0752471	+	0.0835704i
$957$			20.9621i			0.677610i
$958$	−12.1604	−	3.95116i	−0.392885	−	0.127656i
$959$	−1.25545	−	11.9448i	−0.0405405	−	0.385717i
$960$	−4.23097	+	3.07128i	−0.136554	+	0.0991253i
$961$	17.6074	+	12.7925i	0.567980	+	0.412661i
$962$	−12.9548	−	17.8307i	−0.417679	−	0.574885i
$963$	−47.1031	+	4.95073i	−1.51788	+	0.159535i
$964$	−0.0402127	+	0.382598i	−0.00129516	+	0.0123226i
$965$	46.8568	+	34.0733i	1.50837	+	1.09686i
$966$	24.3381	+	10.8360i	0.783065	+	0.348643i
$967$	1.46017	+	6.86957i	0.0469560	+	0.220911i	0.995369	−	0.0961265i	$-0.0306453\pi$
$967$	1.46017	+	6.86957i	0.0469560	+	0.220911i	−0.948413	+	0.317037i	$0.897312\pi$
$968$		−	23.2968i		−	0.748788i
$969$	−9.44546	+	72.1377i	−0.303432	+	2.31740i
$970$	−11.3018	+	25.3559i	−0.362879	+	0.814127i
$971$	−13.7972	+	15.3233i	−0.442772	+	0.491748i	−0.922678	−	0.385572i	$-0.874004\pi$
$971$	−13.7972	+	15.3233i	−0.442772	+	0.491748i	0.479906	+	0.877320i	$0.340671\pi$
$972$	−15.1440	−	13.6357i	−0.485743	−	0.437365i
$973$	2.94944	+	6.62455i	0.0945546	+	0.212373i
$974$	−9.51971	−	16.4886i	−0.305031	−	0.528329i
$975$	41.4218	−	8.76842i	1.32656	−	0.280814i
$976$	6.23706			0.199644
$977$	−16.2118	+	22.3136i	−0.518661	+	0.713876i	−0.985350	−	0.170546i	$-0.945447\pi$
$977$	−16.2118	+	22.3136i	−0.518661	+	0.713876i	0.466688	+	0.884422i	$0.345447\pi$
$978$	10.5955	−	49.8478i	0.338806	−	1.59396i
$979$	84.1625	+	17.8893i	2.68985	+	0.571744i
$980$	−0.0602297	−	0.283940i	−0.00192397	−	0.00907013i
$981$	5.22116	−	16.0691i	0.166699	−	0.513047i
$982$	5.42100	+	3.12981i	0.172991	+	0.0998764i
$983$	11.1056	+	52.2478i	0.354214	+	1.66645i	0.689465	+	0.724319i	$0.257846\pi$
$983$	11.1056	+	52.2478i	0.354214	+	1.66645i	−0.335251	+	0.942129i	$0.608821\pi$
$984$	−2.08994	−	19.8845i	−0.0666250	−	0.633894i
$985$	3.41462	+	3.79550i	0.108799	+	0.120935i
$986$	1.14232	−	10.8685i	0.0363790	−	0.346123i
$987$	−6.59546	−	9.07788i	−0.209936	−	0.288952i
$988$	−15.1334	+	4.49430i	−0.481457	+	0.142983i
$989$	−23.3610	−	16.9727i	−0.742836	−	0.539702i
$990$	31.5942	+	6.72930i	1.00413	+	0.213871i
$991$	−18.7682	−	8.35614i	−0.596192	−	0.265442i	0.0863777	−	0.996262i	$-0.472471\pi$
$991$	−18.7682	−	8.35614i	−0.596192	−	0.265442i	−0.682569	+	0.730821i	$0.739137\pi$
$992$	2.25849	−	2.03355i	0.0717071	−	0.0645653i
$993$	43.2582	−	24.9751i	1.37276	−	0.792561i
$994$	−15.6072	−	17.3335i	−0.495029	−	0.549785i
$995$	−3.68593	−	0.388959i	−0.116852	−	0.0123308i
$996$	−7.60054	−	23.3921i	−0.240832	−	0.741206i
$997$	−6.05679	+	28.4950i	−0.191821	+	0.902445i	0.771944	+	0.635690i	$0.219285\pi$
$997$	−6.05679	+	28.4950i	−0.191821	+	0.902445i	−0.963765	+	0.266754i	$0.914049\pi$
$998$	3.31671	+	7.44946i	0.104989	+	0.235808i
$999$	−7.58711			−0.240046

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.3	✓	400
19.11	even	3	inner	950.2.x.a.809.28	yes	400
25.14	even	10	inner	950.2.x.a.539.28	yes	400
475.239	even	30	inner	950.2.x.a.239.3	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.3	✓	400	1.1	even	1	trivial
950.2.x.a.239.3	yes	400	475.239	even	30	inner
950.2.x.a.539.28	yes	400	25.14	even	10	inner
950.2.x.a.809.28	yes	400	19.11	even	3	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.73756 - 1.56450i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.908640 - 2.04313i) q^{5} +(1.56450 + 1.73756i) q^{6} +2.62111i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.257848 + 2.45326i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.73756 - 1.56450i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.908640 - 2.04313i) q^{5} +(1.56450 + 1.73756i) q^{6} +2.62111i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.257848 + 2.45326i) q^{9} +(0.690097 + 2.12691i) q^{10} +(-4.73788 - 3.44227i) q^{11} +(-1.37431 - 1.89157i) q^{12} +(3.60186 - 0.378571i) q^{13} +(0.273980 - 2.60675i) q^{14} +(-1.61767 + 4.97162i) q^{15} +(0.913545 + 0.406737i) q^{16} +(1.48419 + 6.98258i) q^{17} -2.46677i q^{18} +(-4.02592 + 1.67091i) q^{19} +(-0.463993 - 2.18740i) q^{20} +(4.10073 - 4.55432i) q^{21} +(4.35211 + 3.91866i) q^{22} +(-1.76815 - 3.97133i) q^{23} +(1.16906 + 2.02487i) q^{24} +(-3.34875 + 3.71293i) q^{25} -3.62170 q^{26} +(-0.732819 + 1.00864i) q^{27} +(-0.544958 + 2.56383i) q^{28} +(1.49743 + 0.318290i) q^{29} +(2.12848 - 4.77529i) q^{30} +(-0.939132 + 2.89035i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(2.84689 + 13.3936i) q^{33} +(-0.746184 - 7.09947i) q^{34} +(5.35525 - 2.38164i) q^{35} +(-0.257848 + 2.45326i) q^{36} +(3.57698 + 4.92330i) q^{37} +(4.17853 - 1.24094i) q^{38} +(-6.85071 - 4.97734i) q^{39} +(0.232806 + 2.22392i) q^{40} +(-7.81204 - 3.47815i) q^{41} +(-4.55432 + 4.10073i) q^{42} +(5.75252 - 3.32122i) q^{43} +(-3.91866 - 4.35211i) q^{44} +(4.77803 - 2.75594i) q^{45} +(1.34335 + 4.13440i) q^{46} +(0.380676 - 1.79094i) q^{47} +(-0.950996 - 2.13597i) q^{48} +0.129807 q^{49} +(3.71851 - 3.34256i) q^{50} +(8.34539 - 14.4546i) q^{51} +(3.60186 + 0.378571i) q^{52} +(-0.991820 + 4.66614i) q^{53} +(0.834236 - 0.926513i) q^{54} +(-2.72798 + 12.8079i) q^{55} +(0.809966 - 2.49282i) q^{56} +(9.60942 + 3.39526i) q^{57} +(-1.45596 - 0.473070i) q^{58} +(9.44256 + 4.20410i) q^{59} +(-2.61598 + 4.52665i) q^{60} +(5.69784 - 2.53684i) q^{61} +(1.23611 - 2.77635i) q^{62} +(-6.43025 + 0.675847i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-4.04626 - 7.01508i) q^{65} +(-1.43129 - 13.6178i) q^{66} +(-2.21839 + 1.99745i) q^{67} +7.13857i q^{68} +(-3.14090 + 9.66669i) q^{69} +(-5.57487 + 1.80882i) q^{70} +(5.95442 - 6.61305i) q^{71} +(0.512871 - 2.41287i) q^{72} +(5.63392 + 0.592149i) q^{73} +(-3.04276 - 5.27022i) q^{74} +(11.6275 - 1.21231i) q^{75} +(-4.28535 + 0.797362i) q^{76} +(9.02256 - 12.4185i) q^{77} +(6.29291 + 5.66616i) q^{78} +(5.52864 - 6.14017i) q^{79} +(0.000931635 - 2.23607i) q^{80} +(10.0899 - 2.14468i) q^{81} +(7.40568 + 4.27567i) q^{82} +(10.0047 + 3.25072i) q^{83} +(4.95801 - 3.60221i) q^{84} +(12.9177 - 9.37704i) q^{85} +(-6.06817 + 2.70172i) q^{86} +(-2.10391 - 2.89579i) q^{87} +(3.44227 + 4.73788i) q^{88} +(-13.4220 + 5.97586i) q^{89} +(-5.03993 + 2.24141i) q^{90} +(0.992274 + 9.44086i) q^{91} +(-0.903826 - 4.25217i) q^{92} +(6.15376 - 3.55287i) q^{93} +(-0.565795 + 1.74134i) q^{94} +(7.07200 + 6.70722i) q^{95} +(0.722517 + 2.22368i) q^{96} +(9.22608 + 8.30720i) q^{97} +(-0.129096 - 0.0135686i) q^{98} +(7.22314 - 12.5108i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Introduction

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