LMFDB - Embedded newform 588.2.x.b.55.1

Newspace parameters

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.1
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.1

$q$-expansion

$f(q)$	$=$	$q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.672024 + 1.40478i) q^{10} +(-1.30247 - 1.03868i) q^{11} +(1.80642 + 0.858405i) q^{12} +(2.97068 + 2.36904i) q^{13} +(-3.21789 - 1.90923i) q^{14} +(0.860908 - 0.686552i) q^{15} +(3.99978 - 0.0415125i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 - 1.10339i) q^{18} -4.75410 q^{19} +(0.945227 - 1.98912i) q^{20} +(1.45858 + 2.20738i) q^{21} +(1.84577 + 1.46414i) q^{22} +(-0.687683 + 0.156959i) q^{23} +(-2.55780 - 1.20734i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-4.20986 - 3.33942i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.55778 + 2.68824i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 + 0.974086i) q^{30} -0.923958 q^{31} +(-5.65638 + 0.0733836i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-6.80339 - 1.53427i) q^{34} +(2.43065 - 1.60611i) q^{35} +(1.25508 + 1.55717i) q^{36} +(2.30980 - 10.1199i) q^{37} +(6.72329 - 0.0174441i) q^{38} +(1.64860 + 3.42336i) q^{39} +(-1.32945 + 2.81650i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.07084 - 3.11635i) q^{42} +(1.07381 + 2.22980i) q^{43} +(-2.61568 - 2.06382i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.971952 - 0.224496i) q^{46} +(-2.15096 + 2.69722i) q^{47} +(3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 - 4.17905i) q^{50} +(3.85563 + 3.07476i) q^{51} +(5.96587 + 4.70719i) q^{52} +(2.03963 + 8.93618i) q^{53} +(-0.318268 - 1.37794i) q^{54} +(-1.65275 + 0.795923i) q^{55} +(-6.45551 - 3.78502i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(-1.76896 + 7.84408i) q^{58} +(10.9919 - 5.29344i) q^{59} +(1.71467 - 1.38202i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(1.30667 - 0.00339026i) q^{62} +(0.356388 + 2.62164i) q^{63} +(7.99903 - 0.124535i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.02772 + 2.11999i) q^{66} +3.80325i q^{67} +(9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-3.43155 + 2.28029i) q^{70} +(2.52044 - 0.575275i) q^{71} +(-1.78065 - 2.19756i) q^{72} +(9.44759 - 7.53420i) q^{73} +(-3.22941 + 14.3201i) q^{74} +(0.842794 + 3.69252i) q^{75} +(-9.50807 + 0.0493393i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(-2.34403 - 4.83530i) q^{78} +9.75534i q^{79} +(1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.71674 - 5.67902i) q^{82} +(-10.3125 - 12.9314i) q^{83} +(2.94003 + 4.39957i) q^{84} +(3.38576 - 4.24560i) q^{85} +(-1.52678 - 3.14946i) q^{86} +(3.54510 - 4.44541i) q^{87} +(3.70669 + 2.90908i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(-1.51730 + 0.350459i) q^{90} +(3.53679 + 9.41022i) q^{91} +(-1.37372 + 0.321051i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(3.03201 - 3.82232i) q^{94} +(-2.27136 + 4.71652i) q^{95} +(-5.12806 - 2.38809i) q^{96} -5.63973i q^{97} +(-4.72189 - 8.70079i) q^{98} -1.66592i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.41421	+	0.00366928i	−0.999997	+	0.00259457i
$2$	−1.41421	+	0.00366928i	−0.999997	+	0.00259457i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	1.99997	−	0.0103783i	0.999987	−	0.00518913i
$5$	0.477768	−	0.992096i	0.213664	−	0.443679i	−0.766399	−	0.642365i	$-0.777953\pi$
$5$	0.477768	−	0.992096i	0.213664	−	0.443679i	0.980063	+	0.198686i	$0.0636675\pi$
$6$	−1.27575	−	0.610296i	−0.520823	−	0.249152i
$7$	2.27188	+	1.35593i	0.858691	+	0.512493i
$7$	2.27188	+	1.35593i	0.858691	+	0.512493i
$8$	−2.82834	+	0.0220155i	−0.999970	+	0.00778365i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−0.672024	+	1.40478i	−0.212513	+	0.444232i
$11$	−1.30247	−	1.03868i	−0.392709	−	0.313175i	0.407152	−	0.913360i	$-0.366522\pi$
$11$	−1.30247	−	1.03868i	−0.392709	−	0.313175i	−0.799861	+	0.600186i	$0.795093\pi$
$12$	1.80642	+	0.858405i	0.521468	+	0.247800i
$13$	2.97068	+	2.36904i	0.823919	+	0.657054i	0.941874	−	0.335965i	$-0.109062\pi$
$13$	2.97068	+	2.36904i	0.823919	+	0.657054i	−0.117955	+	0.993019i	$0.537634\pi$
$14$	−3.21789	−	1.90923i	−0.860018	−	0.510264i
$15$	0.860908	−	0.686552i	0.222286	−	0.177267i
$16$	3.99978	−	0.0415125i	0.999946	−	0.0103781i
$17$	4.80790	+	1.09737i	1.16609	+	0.266152i	0.761386	−	0.648298i	$-0.224519\pi$
$17$	4.80790	+	1.09737i	1.16609	+	0.266152i	0.404699	+	0.914450i	$0.367376\pi$
$18$	−0.884614	−	1.10339i	−0.208505	−	0.260070i
$19$	−4.75410			−1.09067			−0.545333	−	0.838220i	$-0.683597\pi$
$19$	−4.75410			−1.09067			−0.545333	+	0.838220i	$0.683597\pi$
$20$	0.945227	−	1.98912i	0.211359	−	0.444781i
$21$	1.45858	+	2.20738i	0.318288	+	0.481691i
$22$	1.84577	+	1.46414i	0.393520	+	0.312155i
$23$	−0.687683	+	0.156959i	−0.143392	+	0.0327283i	−0.293614	−	0.955924i	$-0.594858\pi$
$23$	−0.687683	+	0.156959i	−0.143392	+	0.0327283i	0.150222	+	0.988652i	$0.452001\pi$
$24$	−2.55780	−	1.20734i	−0.522109	−	0.246446i
$25$	2.36146	+	2.96117i	0.472291	+	0.592235i
$26$	−4.20986	−	3.33942i	−0.825621	−	0.654914i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	4.55778	+	2.68824i	0.861339	+	0.508030i
$29$	1.26523	−	5.54334i	0.234947	−	1.02937i	−0.710526	−	0.703671i	$-0.751543\pi$
$29$	1.26523	−	5.54334i	0.234947	−	1.02937i	0.945473	−	0.325700i	$-0.105600\pi$
$30$	−1.21499	+	0.974086i	−0.221825	+	0.177843i
$31$	−0.923958			−0.165948			−0.0829739	−	0.996552i	$-0.526442\pi$
$31$	−0.923958			−0.165948			−0.0829739	+	0.996552i	$0.526442\pi$
$32$	−5.65638	+	0.0733836i	−0.999916	+	0.0129725i
$33$	−0.722815	−	1.50094i	−0.125826	−	0.261280i
$34$	−6.80339	−	1.53427i	−1.16677	−	0.263125i
$35$	2.43065	−	1.60611i	0.410854	−	0.271481i
$36$	1.25508	+	1.55717i	0.209179	+	0.259529i
$37$	2.30980	−	10.1199i	0.379729	−	1.66370i	−0.318572	−	0.947899i	$-0.603203\pi$
$37$	2.30980	−	10.1199i	0.379729	−	1.66370i	0.698302	−	0.715804i	$-0.253939\pi$
$38$	6.72329	−	0.0174441i	1.09066	−	0.00282981i
$39$	1.64860	+	3.42336i	0.263988	+	0.548177i
$40$	−1.32945	+	2.81650i	−0.210204	+	0.445328i
$41$	−1.93144	+	4.01068i	−0.301640	+	0.626363i	−0.995606	−	0.0936458i	$-0.970148\pi$
$41$	−1.93144	+	4.01068i	−0.301640	+	0.626363i	0.693965	+	0.720009i	$0.255862\pi$
$42$	−2.07084	−	3.11635i	−0.319537	−	0.480863i
$43$	1.07381	+	2.22980i	0.163755	+	0.340041i	0.966659	−	0.256068i	$-0.0824270\pi$
$43$	1.07381	+	2.22980i	0.163755	+	0.340041i	−0.802904	+	0.596109i	$0.796713\pi$
$44$	−2.61568	−	2.06382i	−0.394328	−	0.311133i
$45$	1.07354	−	0.245027i	0.160033	−	0.0365265i
$46$	0.971952	−	0.224496i	0.143307	−	0.0331002i
$47$	−2.15096	+	2.69722i	−0.313750	+	0.393429i	−0.913554	−	0.406717i	$-0.866674\pi$
$47$	−2.15096	+	2.69722i	−0.313750	+	0.393429i	0.599805	+	0.800146i	$0.295245\pi$
$48$	3.62169	+	1.69804i	0.522746	+	0.245091i
$49$	3.32291	+	6.16103i	0.474701	+	0.880147i
$50$	−3.35046	−	4.17905i	−0.473826	−	0.591007i
$51$	3.85563	+	3.07476i	0.539897	+	0.430553i
$52$	5.96587	+	4.70719i	0.827318	+	0.652769i
$53$	2.03963	+	8.93618i	0.280164	+	1.22748i	0.897583	+	0.440845i	$0.145321\pi$
$53$	2.03963	+	8.93618i	0.280164	+	1.22748i	−0.617419	+	0.786634i	$0.711822\pi$
$54$	−0.318268	−	1.37794i	−0.0433108	−	0.187513i
$55$	−1.65275	+	0.795923i	−0.222857	+	0.107322i
$56$	−6.45551	−	3.78502i	−0.862654	−	0.505794i
$57$	−4.28330	−	2.06273i	−0.567336	−	0.273215i
$58$	−1.76896	+	7.84408i	−0.232276	+	1.02998i
$59$	10.9919	−	5.29344i	1.43103	−	0.689148i	0.451841	−	0.892098i	$-0.350767\pi$
$59$	10.9919	−	5.29344i	1.43103	−	0.689148i	0.979189	+	0.202951i	$0.0650531\pi$
$60$	1.71467	−	1.38202i	0.221363	−	0.178418i
$61$	−1.46080	−	0.333417i	−0.187036	−	0.0426897i	0.127977	−	0.991777i	$-0.459152\pi$
$61$	−1.46080	−	0.333417i	−0.187036	−	0.0426897i	−0.315013	+	0.949087i	$0.602009\pi$
$62$	1.30667	−	0.00339026i	0.165947	−	0.000430564i
$63$	0.356388	+	2.62164i	0.0449006	+	0.330295i
$64$	7.99903	−	0.124535i	0.999879	−	0.0155668i
$65$	3.76961	−	1.81535i	0.467563	−	0.225166i
$66$	1.02772	+	2.11999i	0.126503	+	0.260953i
$67$			3.80325i			0.464641i	0.972639	+	0.232321i	$0.0746319\pi$
$67$			3.80325i			0.464641i	−0.972639	+	0.232321i	$0.925368\pi$
$68$	9.62705	+	2.14481i	1.16745	+	0.260097i
$69$	−0.687683	−	0.156959i	−0.0827874	−	0.0188957i
$70$	−3.43155	+	2.28029i	−0.410148	+	0.272547i
$71$	2.52044	−	0.575275i	0.299122	−	0.0682726i	−0.0703261	−	0.997524i	$-0.522404\pi$
$71$	2.52044	−	0.575275i	0.299122	−	0.0682726i	0.369448	+	0.929251i	$0.379547\pi$
$72$	−1.78065	−	2.19756i	−0.209852	−	0.258985i
$73$	9.44759	−	7.53420i	1.10576	−	0.881811i	0.112036	−	0.993704i	$-0.464263\pi$
$73$	9.44759	−	7.53420i	1.10576	−	0.881811i	0.993720	+	0.111893i	$0.0356913\pi$
$74$	−3.22941	+	14.3201i	−0.375411	+	1.66468i
$75$	0.842794	+	3.69252i	0.0973175	+	0.426376i
$76$	−9.50807	+	0.0493393i	−1.09065	+	0.00565960i
$77$	−1.55067	−	4.12582i	−0.176716	−	0.470181i
$78$	−2.34403	−	4.83530i	−0.265409	−	0.547490i
$79$			9.75534i			1.09756i	0.835966	+	0.548781i	$0.184908\pi$
$79$			9.75534i			1.09756i	−0.835966	+	0.548781i	$0.815092\pi$
$80$	1.86979	−	3.98800i	0.209048	−	0.445872i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	2.71674	−	5.67902i	0.300014	−	0.627143i
$83$	−10.3125	−	12.9314i	−1.13194	−	1.41941i	−0.893966	−	0.448134i	$-0.852089\pi$
$83$	−10.3125	−	12.9314i	−1.13194	−	1.41941i	−0.237972	−	0.971272i	$-0.576483\pi$
$84$	2.94003	+	4.39957i	0.320784	+	0.480033i
$85$	3.38576	−	4.24560i	0.367237	−	0.460500i
$86$	−1.52678	−	3.14946i	−0.164637	−	0.339615i
$87$	3.54510	−	4.44541i	0.380074	−	0.476598i
$88$	3.70669	+	2.90908i	0.395134	+	0.310109i
$89$	−0.468102	+	0.373299i	−0.0496187	+	0.0395696i	−0.647985	−	0.761653i	$-0.724388\pi$
$89$	−0.468102	+	0.373299i	−0.0496187	+	0.0395696i	0.598366	+	0.801223i	$0.295817\pi$
$90$	−1.51730	+	0.350459i	−0.159938	+	0.0369416i
$91$	3.53679	+	9.41022i	0.370757	+	0.986459i
$92$	−1.37372	+	0.321051i	−0.143220	+	0.0334719i
$93$	−0.832457	−	0.400890i	−0.0863218	−	0.0415704i
$94$	3.03201	−	3.82232i	0.312728	−	0.394242i
$95$	−2.27136	+	4.71652i	−0.233036	+	0.483905i
$96$	−5.12806	−	2.38809i	−0.523380	−	0.243734i
$97$		−	5.63973i		−	0.572628i	−0.958136	−	0.286314i	$-0.907570\pi$
$97$		−	5.63973i		−	0.572628i	0.958136	−	0.286314i	$-0.0924301\pi$
$98$	−4.72189	−	8.70079i	−0.476983	−	0.878912i
$99$		−	1.66592i		−	0.167431i
$100$	4.75358	+	5.89776i	0.475358	+	0.589776i
$101$	−7.95176	+	16.5120i	−0.791229	+	1.64300i	−0.0256429	+	0.999671i	$0.508163\pi$
$101$	−7.95176	+	16.5120i	−0.791229	+	1.64300i	−0.765586	+	0.643333i	$0.777551\pi$
$102$	−5.46395	−	4.33421i	−0.541012	−	0.429151i
$103$	2.33791	+	1.12588i	0.230361	+	0.110936i	0.545504	−	0.838108i	$-0.316338\pi$
$103$	2.33791	+	1.12588i	0.230361	+	0.110936i	−0.315143	+	0.949044i	$0.602053\pi$
$104$	−8.45426	−	6.63505i	−0.829008	−	0.650621i
$105$	2.88680	−	0.392434i	0.281723	−	0.0382976i
$106$	−2.91725	−	12.6301i	−0.283348	−	1.22675i
$107$	−5.75973	+	4.59323i	−0.556815	+	0.444045i	−0.861027	−	0.508559i	$-0.830178\pi$
$107$	−5.75973	+	4.59323i	−0.556815	+	0.444045i	0.304212	+	0.952604i	$0.401607\pi$
$108$	0.455154	+	1.94752i	0.0437972	+	0.187400i
$109$	1.50332	−	1.88510i	0.143992	−	0.180560i	−0.704606	−	0.709599i	$-0.748876\pi$
$109$	1.50332	−	1.88510i	0.143992	−	0.180560i	0.848597	+	0.529039i	$0.177448\pi$
$110$	2.33441	−	1.13167i	0.222578	−	0.107900i
$111$	6.47192	−	8.11553i	0.614288	−	0.770292i
$112$	9.14333	+	5.32912i	0.863964	+	0.503554i
$113$	−11.2515	−	14.1089i	−1.05845	−	1.32726i	−0.942576	−	0.333991i	$-0.891604\pi$
$113$	−11.2515	−	14.1089i	−1.05845	−	1.32726i	−0.115874	−	0.993264i	$-0.536967\pi$
$114$	6.06504	+	2.90141i	0.568043	+	0.271742i
$115$	−0.172835	+	0.757238i	−0.0161169	+	0.0706128i
$116$	2.47290	−	11.0997i	0.229603	−	1.03058i
$117$			3.79965i			0.351277i
$118$	−15.5255	+	7.52637i	−1.42924	+	0.692858i
$119$	9.43502	+	9.01227i	0.864907	+	0.826153i
$120$	−2.41983	+	1.96076i	−0.220899	+	0.178992i
$121$	−1.83017	−	8.01851i	−0.166379	−	0.728955i
$122$	2.06709	+	0.466161i	0.187146	+	0.0422042i
$123$	−3.48034	+	2.77548i	−0.313811	+	0.250256i
$124$	−1.84789	+	0.00958907i	−0.165946	+	0.000861124i
$125$	9.43367	−	2.15317i	0.843773	−	0.192586i
$126$	−0.513626	−	3.70624i	−0.0457574	−	0.330178i
$127$	−11.7031	−	2.67116i	−1.03848	−	0.237027i	−0.330906	−	0.943664i	$-0.607354\pi$
$127$	−11.7031	−	2.67116i	−1.03848	−	0.237027i	−0.707576	+	0.706637i	$0.750211\pi$
$128$	−11.3118	+	0.205469i	−0.999835	+	0.0181610i
$129$			2.47489i			0.217902i
$130$	−5.32436	+	2.58112i	−0.466977	+	0.226379i
$131$	4.87113	−	2.34581i	0.425593	−	0.204955i	−0.208812	−	0.977956i	$-0.566960\pi$
$131$	4.87113	−	2.34581i	0.425593	−	0.204955i	0.634405	+	0.773001i	$0.281245\pi$
$132$	−1.46119	−	2.99434i	−0.127180	−	0.260624i
$133$	−10.8008	−	6.44622i	−0.936545	−	0.558959i
$134$	−0.0139552	−	5.37860i	−0.00120555	−	0.464640i
$135$	1.07354	+	0.245027i	0.0923952	+	0.0210886i
$136$	−13.6225	−	2.99789i	−1.16812	−	0.257067i
$137$	−9.64836	+	4.64641i	−0.824315	+	0.396969i	−0.797980	−	0.602684i	$-0.794098\pi$
$137$	−9.64836	+	4.64641i	−0.824315	+	0.396969i	−0.0263352	+	0.999653i	$0.508384\pi$
$138$	0.973104	+	0.219450i	0.0828361	+	0.0186808i
$139$	−19.2896	−	9.28936i	−1.63612	−	0.787914i	−0.999865	−	0.0164342i	$-0.994769\pi$
$139$	−19.2896	−	9.28936i	−1.63612	−	0.787914i	−0.636254	−	0.771479i	$-0.719517\pi$
$140$	4.84456	−	3.23739i	0.409440	−	0.273610i
$141$	−3.10823	+	1.49684i	−0.261760	+	0.126057i
$142$	−3.56232	+	0.822807i	−0.298944	+	0.0690484i
$143$	−1.40854	−	6.17120i	−0.117788	−	0.516061i
$144$	2.52628	+	3.10127i	0.210523	+	0.258440i
$145$	−4.89503	−	3.90366i	−0.406510	−	0.324181i
$146$	−13.3332	+	10.6896i	−1.10346	+	0.884677i
$147$	0.320668	+	6.99265i	0.0264482	+	0.576744i
$148$	4.51452	−	20.2635i	0.371091	−	1.66565i
$149$	−4.07343	+	5.10792i	−0.333709	+	0.418457i	−0.920169	−	0.391520i	$-0.871949\pi$
$149$	−4.07343	+	5.10792i	−0.333709	+	0.418457i	0.586461	+	0.809977i	$0.300521\pi$
$150$	−1.20544	−	5.21891i	−0.0984234	−	0.426122i
$151$	−4.20290	+	0.959285i	−0.342027	+	0.0780655i	−0.390084	−	0.920779i	$-0.627554\pi$
$151$	−4.20290	+	0.959285i	−0.342027	+	0.0780655i	0.0480572	+	0.998845i	$0.484697\pi$
$152$	13.4462	−	0.104664i	1.09063	−	0.00848935i
$153$	2.13971	+	4.44316i	0.172986	+	0.359208i
$154$	2.20811	+	5.82908i	0.177935	+	0.469721i
$155$	−0.441438	+	0.916655i	−0.0354571	+	0.0736275i
$156$	3.33269	+	6.82952i	0.266829	+	0.546800i
$157$	−3.65606	−	7.59189i	−0.291785	−	0.605899i	0.702616	−	0.711570i	$-0.252015\pi$
$157$	−3.65606	−	7.59189i	−0.291785	−	0.605899i	−0.994401	+	0.105671i	$0.966301\pi$
$158$	−0.0357951	−	13.7961i	−0.00284770	−	1.09756i
$159$	−2.03963	+	8.93618i	−0.161753	+	0.708685i
$160$	−2.62963	+	5.64673i	−0.207891	+	0.446413i
$161$	−1.77516	−	0.575857i	−0.139902	−	0.0453839i
$162$	0.311114	−	1.37957i	0.0244434	−	0.108389i
$163$	−9.39553	−	19.5100i	−0.735914	−	1.52814i	−0.845388	−	0.534152i	$-0.820631\pi$
$163$	−9.39553	−	19.5100i	−0.735914	−	1.52814i	0.109474	−	0.993990i	$-0.465083\pi$
$164$	−3.82121	+	8.04130i	−0.298386	+	0.627920i
$165$	−1.83441			−0.142809
$166$	14.6314	+	18.2499i	1.13562	+	1.41646i
$167$	−1.03499	+	4.53459i	−0.0800899	+	0.350897i	−0.999056	−	0.0434396i	$-0.986168\pi$
$167$	−1.03499	+	4.53459i	−0.0800899	+	0.350897i	0.918966	+	0.394336i	$0.129026\pi$
$168$	−4.17396	−	6.21112i	−0.322028	−	0.479199i
$169$	0.319831	+	1.40127i	0.0246024	+	0.107790i
$170$	−4.77259	+	6.01659i	−0.366041	+	0.461452i
$171$	−2.96413	−	3.71690i	−0.226673	−	0.284239i
$172$	2.17074	+	4.44839i	0.165518	+	0.339187i
$173$	2.12438	−	0.484876i	0.161514	−	0.0368644i	−0.140999	−	0.990010i	$-0.545032\pi$
$173$	2.12438	−	0.484876i	0.161514	−	0.0368644i	0.302513	+	0.953145i	$0.402174\pi$
$174$	−4.99719	+	6.29975i	−0.378836	+	0.477583i
$175$	1.34981	+	9.92941i	0.102036	+	0.750593i
$176$	−5.25271	−	4.10044i	−0.395938	−	0.309082i
$177$	12.2001			0.917019
$178$	0.660624	−	0.529640i	0.0495158	−	0.0396982i
$179$	−17.8481	−	4.07372i	−1.33403	−	0.304484i	−0.504727	−	0.863279i	$-0.668407\pi$
$179$	−17.8481	−	4.07372i	−1.33403	−	0.304484i	−0.829306	+	0.558795i	$0.811264\pi$
$180$	2.14450	−	0.501190i	0.159841	−	0.0373565i
$181$	−9.42031	+	7.51244i	−0.700206	+	0.558396i	−0.907587	−	0.419865i	$-0.862078\pi$
$181$	−9.42031	+	7.51244i	−0.700206	+	0.558396i	0.207381	+	0.978260i	$0.433506\pi$
$182$	−5.03629	−	13.2950i	−0.373315	−	0.985494i
$183$	−1.17147	−	0.934213i	−0.0865973	−	0.0690590i
$184$	1.94155	−	0.459074i	0.143133	−	0.0338434i
$185$	−8.93637	−	7.12651i	−0.657015	−	0.523952i
$186$	1.17874	+	0.563888i	0.0864294	+	0.0413463i
$187$	−5.12231	−	6.42317i	−0.374580	−	0.469709i
$188$	−4.27387	+	5.41668i	−0.311704	+	0.395052i
$189$	−0.816392	+	2.51665i	−0.0593838	+	0.183059i
$190$	3.19487	−	6.67848i	0.231780	−	0.484508i
$191$	−3.10491	+	6.44742i	−0.224664	+	0.466519i	−0.982582	−	0.185831i	$-0.940502\pi$
$191$	−3.10491	+	6.44742i	−0.224664	+	0.466519i	0.757918	+	0.652350i	$0.226217\pi$
$192$	7.26091	+	3.35845i	0.524011	+	0.242375i
$193$	−20.1531	−	9.70520i	−1.45065	−	0.698595i	−0.467941	−	0.883760i	$-0.655004\pi$
$193$	−20.1531	−	9.70520i	−1.45065	−	0.698595i	−0.982708	+	0.185164i	$0.940718\pi$
$194$	0.0206938	+	7.97576i	0.00148573	+	0.572626i
$195$	4.18395			0.299619
$196$	6.70967	+	12.2874i	0.479262	+	0.877672i
$197$	3.04417			0.216888			0.108444	−	0.994103i	$-0.465413\pi$
$197$	3.04417			0.216888			0.108444	+	0.994103i	$0.465413\pi$
$198$	0.00611272	+	2.35596i	0.000434412	+	0.167431i
$199$	3.18293	+	1.53282i	0.225632	+	0.108659i	0.543285	−	0.839548i	$-0.317180\pi$
$199$	3.18293	+	1.53282i	0.225632	+	0.108659i	−0.317653	+	0.948207i	$0.602895\pi$
$200$	−6.74420	−	8.32322i	−0.476887	−	0.588541i
$201$	−1.65017	+	3.42661i	−0.116394	+	0.241695i
$202$	11.1849	−	23.3806i	0.786964	−	1.64505i
$203$	10.3908	−	10.8782i	0.729293	−	0.763503i
$204$	7.74307	+	6.10943i	0.542124	+	0.427746i
$205$	3.05620	+	3.83235i	0.213454	+	0.267663i
$206$	−3.31042	−	1.58365i	−0.230648	−	0.110338i
$207$	−0.551479	−	0.439790i	−0.0383305	−	0.0305675i
$208$	11.9804	+	9.35233i	0.830694	+	0.648468i
$209$	6.19206	+	4.93800i	0.428314	+	0.341569i
$210$	−4.08110	+	0.565576i	−0.281622	+	0.0390284i
$211$	11.9773	−	9.55156i	0.824550	−	0.657556i	−0.117484	−	0.993075i	$-0.537483\pi$
$211$	11.9773	−	9.55156i	0.824550	−	0.657556i	0.942034	+	0.335518i	$0.108911\pi$
$212$	4.17194	+	17.8510i	0.286530	+	1.22601i
$213$	2.52044	+	0.575275i	0.172698	+	0.0394172i
$214$	8.12861	−	6.51693i	0.555661	−	0.445488i
$215$	2.72521			0.185858
$216$	−0.650829	−	2.75253i	−0.0442833	−	0.187286i
$217$	−2.09913	−	1.25282i	−0.142498	−	0.0850471i
$218$	−2.11909	+	2.67144i	−0.143523	+	0.180933i
$219$	11.7810	−	2.68893i	0.796083	−	0.181701i
$220$	−3.29720	+	1.60898i	−0.222297	+	0.108477i
$221$	11.6830	+	14.6500i	0.785885	+	0.985468i
$222$	−9.12287	+	11.5008i	−0.612287	+	0.771884i
$223$	−3.35634	−	14.7051i	−0.224757	−	0.984725i	−0.953844	−	0.300303i	$-0.902912\pi$
$223$	−3.35634	−	14.7051i	−0.224757	−	0.984725i	0.729087	−	0.684421i	$-0.239945\pi$
$224$	−12.9501	−	7.50293i	−0.865267	−	0.501311i
$225$	−0.842794	+	3.69252i	−0.0561863	+	0.246168i
$226$	15.9637	+	19.9117i	1.06189	+	1.32450i
$227$	13.9614			0.926654			0.463327	−	0.886187i	$-0.346656\pi$
$227$	13.9614			0.926654			0.463327	+	0.886187i	$0.346656\pi$
$228$	−8.58788	−	4.08094i	−0.568746	−	0.270267i
$229$	−0.788267	−	1.63685i	−0.0520902	−	0.108166i	0.873299	−	0.487184i	$-0.161976\pi$
$229$	−0.788267	−	1.63685i	−0.0520902	−	0.108166i	−0.925389	+	0.379018i	$0.876262\pi$
$230$	0.241646	−	1.07153i	0.0159336	−	0.0706544i
$231$	0.393019	−	4.39005i	0.0258587	−	0.288844i
$232$	−3.45646	+	15.7063i	−0.226928	+	1.03117i
$233$	−0.435572	+	1.90836i	−0.0285353	+	0.125021i	−0.987189	−	0.159552i	$-0.948995\pi$
$233$	−0.435572	+	1.90836i	−0.0285353	+	0.125021i	0.958654	+	0.284574i	$0.0918520\pi$
$234$	−0.0139420	−	5.37349i	−0.000911415	−	0.351276i
$235$	1.64824	+	3.42260i	0.107519	+	0.223266i
$236$	21.9287	−	10.7008i	1.42743	−	0.696564i
$237$	−4.23268	+	8.78926i	−0.274942	+	0.570924i
$238$	−13.3762	−	12.7106i	−0.867048	−	0.823906i
$239$	7.36156	+	15.2864i	0.476180	+	0.988798i	0.991293	+	0.131675i	$0.0420356\pi$
$239$	7.36156	+	15.2864i	0.476180	+	0.988798i	−0.515113	+	0.857122i	$0.672250\pi$
$240$	3.41495	−	2.78180i	0.220434	−	0.179564i
$241$	−0.848820	+	0.193738i	−0.0546773	+	0.0124797i	−0.249772	−	0.968305i	$-0.580356\pi$
$241$	−0.848820	+	0.193738i	−0.0546773	+	0.0124797i	0.195095	+	0.980784i	$0.437499\pi$
$242$	2.61767	+	11.3331i	0.168270	+	0.728521i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	−2.92501	−	0.651664i	−0.187255	−	0.0417185i
$245$	7.69991	−	0.353101i	0.491929	−	0.0225588i
$246$	4.91174	−	3.93787i	0.313161	−	0.251070i
$247$	−14.1229	−	11.2627i	−0.898620	−	0.716625i
$248$	2.61327	−	0.0203414i	0.165943	−	0.00129168i
$249$	−3.68047	−	16.1252i	−0.233240	−	1.02189i
$250$	−13.3333	+	3.07965i	−0.843271	+	0.194774i
$251$	23.2284	−	11.1862i	1.46616	−	0.706066i	0.480845	−	0.876805i	$-0.340330\pi$
$251$	23.2284	−	11.1862i	1.46616	−	0.706066i	0.985316	+	0.170739i	$0.0546156\pi$
$252$	0.739974	+	5.23951i	0.0466140	+	0.330058i
$253$	1.05872	+	0.509851i	0.0665609	+	0.0320540i
$254$	16.5604	+	3.73463i	1.03909	+	0.234331i
$255$	4.89256	−	2.35613i	0.306384	−	0.147547i
$256$	15.9966	−	0.332082i	0.999785	−	0.0207551i
$257$	1.19958	+	0.273796i	0.0748277	+	0.0170789i	0.259771	−	0.965670i	$-0.416353\pi$
$257$	1.19958	+	0.273796i	0.0748277	+	0.0170789i	−0.184943	+	0.982749i	$0.559210\pi$
$258$	−0.00908107	−	3.50001i	−0.000565362	−	0.217901i
$259$	18.9695	−	19.8593i	1.17871	−	1.23400i
$260$	7.52028	−	3.66977i	0.466388	−	0.227590i
$261$	5.12281	−	2.46702i	0.317094	−	0.152704i
$262$	−6.88019	+	3.33534i	−0.425060	+	0.206058i
$263$			9.47880i			0.584488i	0.956344	+	0.292244i	$0.0944019\pi$
$263$			9.47880i			0.584488i	−0.956344	+	0.292244i	$0.905598\pi$
$264$	2.07741	+	4.22926i	0.127856	+	0.260293i
$265$	9.84002	+	2.24592i	0.604467	+	0.137966i
$266$	15.2982	+	9.07668i	0.937992	+	0.556527i
$267$	−0.583713	+	0.133229i	−0.0357227	+	0.00815346i
$268$	0.0394711	+	7.60641i	0.00241108	+	0.464635i
$269$	1.63184	−	1.30135i	0.0994948	−	0.0793444i	−0.572479	−	0.819919i	$-0.694018\pi$
$269$	1.63184	−	1.30135i	0.0994948	−	0.0793444i	0.671974	+	0.740575i	$0.265447\pi$
$270$	−1.51910	−	0.342581i	−0.0924496	−	0.0208488i
$271$	0.568840	+	2.49225i	0.0345546	+	0.151394i	0.989262	−	0.146152i	$-0.0466890\pi$
$271$	0.568840	+	2.49225i	0.0345546	+	0.151394i	−0.954707	+	0.297546i	$0.903832\pi$
$272$	19.2761	+	4.18966i	1.16879	+	0.254035i
$273$	−0.896402	+	10.0129i	−0.0542527	+	0.606007i
$274$	13.6277	−	6.60639i	0.823282	−	0.399107i
$275$		−	6.30964i		−	0.380485i
$276$	−1.37698	−	0.306777i	−0.0828843	−	0.0184658i
$277$	−6.67069	+	29.2262i	−0.400803	+	1.75603i	0.223359	+	0.974736i	$0.428298\pi$
$277$	−6.67069	+	29.2262i	−0.400803	+	1.75603i	−0.624162	+	0.781295i	$0.714559\pi$
$278$	27.3136	+	13.0663i	1.63816	+	0.783666i
$279$	−0.576078	−	0.722380i	−0.0344889	−	0.0432477i
$280$	−6.83934	+	4.59613i	−0.408729	+	0.274671i
$281$	−16.9002	+	21.1922i	−1.00818	+	1.26422i	−0.0439881	+	0.999032i	$0.514006\pi$
$281$	−16.9002	+	21.1922i	−1.00818	+	1.26422i	−0.964196	+	0.265191i	$0.914565\pi$
$282$	4.39019	−	2.12825i	0.261432	−	0.126736i
$283$	13.5924	−	17.0443i	0.807982	−	1.01318i	−0.191516	−	0.981490i	$-0.561340\pi$
$283$	13.5924	−	17.0443i	0.807982	−	1.01318i	0.999498	−	0.0316878i	$-0.0100882\pi$
$284$	5.03485	−	1.17669i	0.298763	−	0.0698238i
$285$	−4.09284	+	3.26393i	−0.242439	+	0.193339i
$286$	2.01461	+	8.72219i	0.119126	+	0.515754i
$287$	−9.82621	+	6.49290i	−0.580023	+	0.383264i
$288$	−3.58407	−	4.37658i	−0.211193	−	0.257892i
$289$	6.59516	+	3.17606i	0.387951	+	0.186827i
$290$	6.93692	+	5.50263i	0.407350	+	0.323125i
$291$	2.44699	−	5.08122i	0.143445	−	0.297867i
$292$	18.8167	−	15.1662i	1.10117	−	0.887538i
$293$		−	18.6200i		−	1.08779i	−0.839152	−	0.543897i	$-0.816948\pi$
$293$		−	18.6200i		−	1.08779i	0.839152	−	0.543897i	$-0.183052\pi$
$294$	−0.479149	−	9.88789i	−0.0279445	−	0.576674i
$295$		−	13.4341i		−	0.782164i
$296$	−6.31012	+	28.6734i	−0.366768	+	1.66661i
$297$	0.722815	−	1.50094i	0.0419420	−	0.0870934i
$298$	5.74194	−	7.23861i	0.332622	−	0.419322i
$299$	−2.41473	−	1.16287i	−0.139648	−	0.0672507i
$300$	1.72389	+	7.37620i	0.0995287	+	0.425865i
$301$	−0.583869	+	6.52186i	−0.0336537	+	0.375914i
$302$	5.94026	−	1.37205i	0.341823	−	0.0789526i
$303$	−14.3286	+	11.4267i	−0.823155	+	0.656444i
$304$	−19.0154	+	0.197354i	−1.09061	+	0.0113190i
$305$	−1.02870	+	1.28995i	−0.0589034	+	0.0738625i
$306$	−3.04231	−	6.27571i	−0.173917	−	0.358758i
$307$	−17.2921	+	21.6837i	−0.986915	+	1.23755i	−0.0155697	+	0.999879i	$0.504956\pi$
$307$	−17.2921	+	21.6837i	−0.986915	+	1.23755i	−0.971345	+	0.237673i	$0.923615\pi$
$308$	−3.14412	−	8.23544i	−0.179153	−	0.469258i
$309$	1.61788	+	2.02876i	0.0920381	+	0.115412i
$310$	0.620922	−	1.29796i	0.0352660	−	0.0737192i
$311$	2.52659	−	11.0697i	0.143270	−	0.627706i	−0.851393	−	0.524528i	$-0.824242\pi$
$311$	2.52659	−	11.0697i	0.143270	−	0.627706i	0.994663	−	0.103178i	$-0.0329011\pi$
$312$	−4.73818	−	9.64614i	−0.268247	−	0.546105i
$313$		−	19.6867i		−	1.11276i	−0.830928	−	0.556379i	$-0.812190\pi$
$313$		−	19.6867i		−	1.11276i	0.830928	−	0.556379i	$-0.187810\pi$
$314$	5.19829	+	10.7231i	0.293357	+	0.605140i
$315$	2.77119	+	0.898965i	0.156139	+	0.0506509i
$316$	0.101243	+	19.5104i	0.00569539	+	1.09755i
$317$	−2.20791	−	9.67349i	−0.124009	−	0.543317i	−0.998319	−	0.0579509i	$-0.981543\pi$
$317$	−2.20791	−	9.67349i	−0.124009	−	0.543317i	0.874311	−	0.485367i	$-0.161314\pi$
$318$	2.85167	−	12.6451i	0.159914	−	0.709103i
$319$	−7.40569	+	5.90584i	−0.414639	+	0.330664i
$320$	3.69813	−	7.99530i	0.206732	−	0.446951i
$321$	−7.18227	+	1.63931i	−0.400875	+	0.0914972i
$322$	2.51256	+	0.807869i	0.140020	+	0.0450208i
$323$	−22.8572	−	5.21701i	−1.27181	−	0.290282i
$324$	−0.434918	+	1.95214i	−0.0241621	+	0.108452i
$325$			14.3911i			0.798274i
$326$	13.3588	+	27.5568i	0.739877	+	1.52623i
$327$	2.17236	−	1.04615i	0.120132	−	0.0578524i
$328$	5.37448	−	11.3861i	0.296756	−	0.628692i
$329$	−8.54396	+	3.21121i	−0.471044	+	0.177040i
$330$	2.59425	−	0.00673098i	0.142808	−	0.000370528i
$331$	−25.6987	−	5.86557i	−1.41253	−	0.322401i	−0.552870	−	0.833267i	$-0.686467\pi$
$331$	−25.6987	−	5.86557i	−1.41253	−	0.322401i	−0.859660	+	0.510867i	$0.829325\pi$
$332$	−20.7588	−	25.7554i	−1.13929	−	1.41351i
$333$	9.35220	−	4.50378i	0.512497	−	0.246806i
$334$	1.44705	−	6.41665i	0.0791792	−	0.351103i
$335$	3.77319	+	1.81707i	0.206152	+	0.0992773i
$336$	5.92564	+	8.76851i	0.323270	+	0.478361i
$337$	−1.71631	+	0.826532i	−0.0934934	+	0.0450241i	−0.480046	−	0.877243i	$-0.659380\pi$
$337$	−1.71631	+	0.826532i	−0.0934934	+	0.0450241i	0.386553	+	0.922267i	$0.373666\pi$
$338$	−0.457450	−	1.98052i	−0.0248820	−	0.107726i
$339$	−4.01561	−	17.5935i	−0.218098	−	0.955549i
$340$	6.72736	−	8.52623i	0.364842	−	0.462400i
$341$	1.20343	+	0.959700i	0.0651691	+	0.0519706i
$342$	4.20554	+	5.24560i	0.227410	+	0.283650i
$343$	−0.804659	+	18.5028i	−0.0434475	+	0.999056i
$344$	−3.08621	−	6.28299i	−0.166397	−	0.338756i
$345$	−0.484272	+	0.607258i	−0.0260723	+	0.0326937i
$346$	−3.00254	+	0.693511i	−0.161418	+	0.0372834i
$347$	15.0020	−	3.42412i	0.805351	−	0.183816i	0.200022	−	0.979791i	$-0.435899\pi$
$347$	15.0020	−	3.42412i	0.805351	−	0.183816i	0.605329	+	0.795975i	$0.293041\pi$
$348$	7.04396	−	8.92749i	0.377596	−	0.478564i
$349$	4.79383	+	9.95450i	0.256608	+	0.532852i	0.988979	−	0.148053i	$-0.0473007\pi$
$349$	4.79383	+	9.95450i	0.256608	+	0.532852i	−0.732371	+	0.680905i	$0.761586\pi$
$350$	−1.94535	−	14.0373i	−0.103983	−	0.750326i
$351$	−1.64860	+	3.42336i	−0.0879960	+	0.182726i
$352$	7.44347	+	5.77960i	0.396738	+	0.308054i
$353$	15.1017	+	31.3591i	0.803785	+	1.66908i	0.741437	+	0.671022i	$0.234144\pi$
$353$	15.1017	+	31.3591i	0.803785	+	1.66908i	0.0623475	+	0.998055i	$0.480141\pi$
$354$	−17.2536	+	0.0447657i	−0.917016	+	0.00237927i
$355$	0.633460	−	2.77537i	0.0336206	−	0.147301i
$356$	−0.932316	+	0.751445i	−0.0494127	+	0.0398265i
$357$	4.59038	+	12.2135i	0.242949	+	0.646406i
$358$	25.2560	+	5.69561i	1.33482	+	0.301022i
$359$	−0.148534	−	0.308434i	−0.00783933	−	0.0162785i	0.897012	−	0.442005i	$-0.145733\pi$
$359$	−0.148534	−	0.308434i	−0.00783933	−	0.0162785i	−0.904852	+	0.425727i	$0.860018\pi$
$360$	−3.03093	+	0.716656i	−0.159744	+	0.0377711i
$361$	3.60146			0.189550
$362$	13.2947	−	10.6587i	0.698755	−	0.560210i
$363$	1.83017	−	8.01851i	0.0960591	−	0.420862i
$364$	7.17115	+	18.7835i	0.375871	+	0.984522i
$365$	−2.96089	−	12.9725i	−0.154980	−	0.679012i
$366$	1.66013	+	1.31687i	0.0867762	+	0.0688341i
$367$	12.2642	+	15.3788i	0.640186	+	0.802768i	0.991026	−	0.133667i	$-0.0426754\pi$
$367$	12.2642	+	15.3788i	0.640186	+	0.802768i	−0.350840	+	0.936435i	$0.614104\pi$
$368$	−2.74407	+	0.656351i	−0.143045	+	0.0342146i
$369$	−4.33991	+	0.990556i	−0.225927	+	0.0515663i
$370$	12.6640	+	10.0456i	0.658372	+	0.522245i
$371$	−7.48304	+	23.0676i	−0.388500	+	1.19761i
$372$	−1.66905	−	0.793131i	−0.0865364	−	0.0411219i
$373$	−18.8281			−0.974884			−0.487442	−	0.873155i	$-0.662070\pi$
$373$	−18.8281			−0.974884			−0.487442	+	0.873155i	$0.662070\pi$
$374$	7.26758	+	9.06491i	0.375798	+	0.468735i
$375$	9.43367	+	2.15317i	0.487153	+	0.111189i
$376$	6.02426	−	7.67600i	0.310678	−	0.395860i
$377$	16.8910	−	13.4701i	0.869930	−	0.693746i
$378$	1.14531	−	3.56206i	0.0589086	−	0.183212i
$379$	14.2687	+	11.3789i	0.732935	+	0.584496i	0.917222	−	0.398376i	$-0.130426\pi$
$379$	14.2687	+	11.3789i	0.732935	+	0.584496i	−0.184287	+	0.982872i	$0.558998\pi$
$380$	−4.49370	+	9.45649i	−0.230522	+	0.485108i
$381$	−9.38515	−	7.48441i	−0.480816	−	0.383438i
$382$	4.36734	−	9.12939i	0.223453	−	0.467100i
$383$	−10.2976	−	12.9128i	−0.526185	−	0.659815i	0.445724	−	0.895170i	$-0.352946\pi$
$383$	−10.2976	−	12.9128i	−0.526185	−	0.659815i	−0.971910	+	0.235355i	$0.924375\pi$
$384$	−10.2808	−	4.72290i	−0.524638	−	0.241015i
$385$	−4.83407	−	0.432770i	−0.246367	−	0.0220560i
$386$	28.5362	+	13.6512i	1.45246	+	0.694829i
$387$	−1.07381	+	2.22980i	−0.0545851	+	0.113347i
$388$	−0.0585306	−	11.2793i	−0.00297144	−	0.572620i
$389$	−30.4675	−	14.6724i	−1.54476	−	0.743918i	−0.548994	−	0.835826i	$-0.684989\pi$
$389$	−30.4675	−	14.6724i	−1.54476	−	0.743918i	−0.995768	+	0.0919080i	$0.970703\pi$
$390$	−5.91699	+	0.0153521i	−0.299618	+	0.000777384i
$391$	−3.47855			−0.175918
$392$	−9.53396	−	17.3523i	−0.481538	−	0.876425i
$393$	5.40655			0.272724
$394$	−4.30509	+	0.0111699i	−0.216887	+	0.000562731i
$395$	9.67823	+	4.66079i	0.486965	+	0.234510i
$396$	−0.0172893	−	3.33179i	−0.000868821	−	0.167429i
$397$	13.5283	−	28.0918i	0.678966	−	1.40989i	−0.221586	−	0.975141i	$-0.571123\pi$
$397$	13.5283	−	28.0918i	0.678966	−	1.40989i	0.900553	−	0.434747i	$-0.143162\pi$
$398$	−4.50696	−	2.15605i	−0.225913	−	0.108073i
$399$	−6.93424	−	10.4941i	−0.347146	−	0.525363i
$400$	9.56825	+	11.7460i	0.478412	+	0.587301i
$401$	2.06606	+	2.59076i	0.103174	+	0.129376i	0.830738	−	0.556664i	$-0.187919\pi$
$401$	2.06606	+	2.59076i	0.103174	+	0.129376i	−0.727564	+	0.686040i	$0.759347\pi$
$402$	2.32111	−	4.85200i	0.115767	−	0.241996i
$403$	−2.74479	−	2.18889i	−0.136728	−	0.109037i
$404$	−15.7319	+	33.1061i	−0.782693	+	1.64709i
$405$	0.860908	+	0.686552i	0.0427789	+	0.0341150i
$406$	−14.6549	+	15.4222i	−0.727310	+	0.765393i
$407$	−13.5198	+	10.7817i	−0.670152	+	0.534429i
$408$	−10.9727	−	8.61160i	−0.543231	−	0.426338i
$409$	−9.68459	−	2.21045i	−0.478872	−	0.109299i	−0.0237304	−	0.999718i	$-0.507554\pi$
$409$	−9.68459	−	2.21045i	−0.478872	−	0.109299i	−0.455142	+	0.890419i	$0.650411\pi$
$410$	−4.33616	−	5.40853i	−0.214148	−	0.267108i
$411$	−10.7089			−0.528230
$412$	4.68744	+	2.22746i	0.230934	+	0.109739i
$413$	32.1500	+	2.87822i	1.58200	+	0.141628i
$414$	0.781521	+	0.619931i	0.0384096	+	0.0304680i
$415$	−17.7562	+	4.05273i	−0.871615	+	0.198940i
$416$	−16.9772	−	13.1822i	−0.832373	−	0.646310i
$417$	−13.3488	−	16.7389i	−0.653693	−	0.819705i
$418$	−8.77498	−	6.96064i	−0.429198	−	0.340456i
$419$	−5.45289	−	23.8907i	−0.266391	−	1.16714i	−0.914178	−	0.405314i	$-0.867162\pi$
$419$	−5.45289	−	23.8907i	−0.266391	−	1.16714i	0.647787	−	0.761822i	$-0.275695\pi$
$420$	5.76945	−	0.814817i	0.281520	−	0.0397590i
$421$	−3.65165	+	15.9989i	−0.177970	+	0.779740i	0.804595	+	0.593824i	$0.202382\pi$
$421$	−3.65165	+	15.9989i	−0.177970	+	0.779740i	−0.982566	+	0.185916i	$0.940475\pi$
$422$	−16.9033	+	13.5518i	−0.822841	+	0.659694i
$423$	−3.44987			−0.167738
$424$	−5.96549	−	25.2297i	−0.289710	−	1.22526i
$425$	8.10413	+	16.8284i	0.393108	+	0.816298i
$426$	−3.56654	−	0.804311i	−0.172800	−	0.0389690i
$427$	−2.86667	−	2.73822i	−0.138728	−	0.132512i
$428$	−11.4716	+	9.24612i	−0.554503	+	0.446928i
$429$	1.40854	−	6.17120i	0.0680047	−	0.297948i
$430$	−3.85401	+	0.00999955i	−0.185857	+	0.000482221i
$431$	15.3681	+	31.9123i	0.740257	+	1.53716i	0.840267	+	0.542173i	$0.182398\pi$
$431$	15.3681	+	31.9123i	0.740257	+	1.53716i	−0.100009	+	0.994986i	$0.531887\pi$
$432$	0.930507	+	3.89026i	0.0447691	+	0.187170i
$433$	3.38359	−	7.02611i	0.162605	−	0.337653i	−0.803707	−	0.595025i	$-0.797142\pi$
$433$	3.38359	−	7.02611i	0.162605	−	0.337653i	0.966312	+	0.257372i	$0.0828565\pi$
$434$	2.97320	+	1.76405i	0.142718	+	0.0846771i
$435$	−2.71654	−	5.64095i	−0.130248	−	0.270463i
$436$	2.98703	−	3.78576i	0.143053	−	0.181305i
$437$	3.26932	−	0.746200i	0.156393	−	0.0356956i
$438$	−16.6509	+	3.84593i	−0.795609	+	0.183766i
$439$	−5.38630	+	6.75421i	−0.257074	+	0.322361i	−0.893574	−	0.448916i	$-0.851810\pi$
$439$	−5.38630	+	6.75421i	−0.257074	+	0.322361i	0.636500	+	0.771277i	$0.280382\pi$
$440$	4.65702	−	2.28753i	0.222015	−	0.109054i
$441$	−2.74509	+	6.43929i	−0.130718	+	0.306633i
$442$	−16.5760	−	20.6753i	−0.788439	−	0.983426i
$443$	17.5345	+	13.9833i	0.833091	+	0.664368i	0.944175	−	0.329443i	$-0.106861\pi$
$443$	17.5345	+	13.9833i	0.833091	+	0.664368i	−0.111084	+	0.993811i	$0.535432\pi$
$444$	12.8594	−	16.2980i	0.610282	−	0.773470i
$445$	0.146704	+	0.642752i	0.00695443	+	0.0304694i
$446$	4.80052	+	20.7837i	0.227311	+	0.984138i
$447$	−5.88628	+	2.83468i	−0.278411	+	0.134076i
$448$	18.3417	+	10.5632i	0.866565	+	0.499064i
$449$	−35.7934	−	17.2372i	−1.68919	−	0.813473i	−0.995662	−	0.0930488i	$-0.970339\pi$
$449$	−35.7934	−	17.2372i	−1.68919	−	0.813473i	−0.693533	−	0.720425i	$-0.743947\pi$
$450$	1.17834	−	5.22509i	0.0555474	−	0.246313i
$451$	6.68146	−	3.21762i	0.314618	−	0.151512i
$452$	−22.6491	−	28.1007i	−1.06532	−	1.32174i
$453$	−4.20290	−	0.959285i	−0.197469	−	0.0450711i
$454$	−19.7444	+	0.0512284i	−0.926651	+	0.00240427i
$455$	11.0256	+	0.987067i	0.516888	+	0.0462744i
$456$	12.1600	+	5.73980i	0.569446	+	0.268791i
$457$	36.1754	−	17.4212i	1.69222	−	0.814928i	0.697016	−	0.717055i	$-0.254510\pi$
$457$	36.1754	−	17.4212i	1.69222	−	0.814928i	0.995199	−	0.0978729i	$-0.0312039\pi$
$458$	1.12078	+	2.31196i	0.0523706	+	0.108031i
$459$			4.93154i			0.230185i
$460$	−0.337806	+	1.51625i	−0.0157503	+	0.0706955i
$461$	9.18927	+	2.09739i	0.427987	+	0.0976853i	0.431088	−	0.902310i	$-0.358130\pi$
$461$	9.18927	+	2.09739i	0.427987	+	0.0976853i	−0.00310081	+	0.999995i	$0.500987\pi$
$462$	−0.539702	+	6.20989i	−0.0251092	+	0.288910i
$463$	−26.4200	+	6.03020i	−1.22784	+	0.280247i	−0.786783	−	0.617230i	$-0.788255\pi$
$463$	−26.4200	+	6.03020i	−1.22784	+	0.280247i	−0.441061	+	0.897477i	$0.645398\pi$
$464$	4.83053	−	22.2247i	0.224252	−	1.03175i
$465$	−0.795443	+	0.634345i	−0.0368878	+	0.0294170i
$466$	0.608987	−	2.70042i	0.0282108	−	0.125095i
$467$	0.859692	+	3.76656i	0.0397818	+	0.174296i	0.990916	−	0.134482i	$-0.0429372\pi$
$467$	0.859692	+	3.76656i	0.0397818	+	0.174296i	−0.951134	+	0.308778i	$0.900080\pi$
$468$	0.0394337	+	7.59919i	0.00182282	+	0.351273i
$469$	−5.15695	+	8.64055i	−0.238126	+	0.398984i
$470$	−2.34351	−	4.83422i	−0.108098	−	0.222986i
$471$		−	8.42636i		−	0.388266i
$472$	−30.9725	+	15.2137i	−1.42562	+	0.700265i
$473$	0.917446	−	4.01959i	0.0421842	−	0.184821i
$474$	5.95365	−	12.4454i	0.273460	−	0.571635i
$475$	−11.2266	−	14.0777i	−0.515112	−	0.645930i
$476$	18.9633	+	17.9264i	0.869182	+	0.821654i
$477$	−5.71490	+	7.16626i	−0.261667	+	0.328121i
$478$	−10.4669	−	21.5912i	−0.478744	−	0.987559i
$479$	5.89075	−	7.38677i	0.269155	−	0.337510i	−0.628824	−	0.777548i	$-0.716463\pi$
$479$	5.89075	−	7.38677i	0.269155	−	0.337510i	0.897979	+	0.440037i	$0.145035\pi$
$480$	−4.81924	+	3.94657i	−0.219967	+	0.180136i
$481$	30.8362	−	24.5910i	1.40601	−	1.12125i
$482$	1.19970	−	0.277100i	0.0546447	−	0.0126216i
$483$	−1.34951	−	1.28904i	−0.0614049	−	0.0586535i
$484$	−3.74351	−	16.0178i	−0.170160	−	0.728082i
$485$	−5.59515	−	2.69448i	−0.254063	−	0.122350i
$486$	0.878876	−	1.10796i	0.0398666	−	0.0502581i
$487$	−1.69241	+	3.51433i	−0.0766906	+	0.159250i	−0.935789	−	0.352561i	$-0.885311\pi$
$487$	−1.69241	+	3.51433i	−0.0766906	+	0.159250i	0.859098	+	0.511811i	$0.171025\pi$
$488$	4.13897	+	0.910857i	0.187362	+	0.0412326i
$489$		−	21.6545i		−	0.979249i
$490$	−10.8880	+	0.527612i	−0.491869	+	0.0238351i
$491$			18.5950i			0.839182i	0.907713	+	0.419591i	$0.137826\pi$
$491$			18.5950i			0.839182i	−0.907713	+	0.419591i	$0.862174\pi$
$492$	−6.93178	+	5.58700i	−0.312509	+	0.251881i
$493$	12.1662	−	25.2634i	0.547938	−	1.13780i
$494$	20.0141	+	15.8759i	0.900476	+	0.714291i
$495$	−1.65275	−	0.795923i	−0.0742856	−	0.0357741i
$496$	−3.69563	+	0.0383558i	−0.165939	+	0.00172223i
$497$	6.50619	+	2.11059i	0.291842	+	0.0946728i
$498$	5.26412	+	22.7909i	0.235891	+	1.02128i
$499$	16.8513	−	13.4385i	0.754368	−	0.601589i	−0.168950	−	0.985625i	$-0.554038\pi$
$499$	16.8513	−	13.4385i	0.754368	−	0.601589i	0.923318	+	0.384036i	$0.125466\pi$
$500$	18.8447	−	4.40420i	0.842763	−	0.196962i
$501$	−2.89998	+	3.63646i	−0.129561	+	0.162465i
$502$	−32.8087	+	15.9048i	−1.46432	+	0.709868i
$503$	2.92619	−	3.66932i	0.130472	−	0.163607i	−0.712304	−	0.701871i	$-0.752348\pi$
$503$	2.92619	−	3.66932i	0.130472	−	0.163607i	0.842776	+	0.538264i	$0.180920\pi$
$504$	−1.06570	−	7.40704i	−0.0474702	−	0.329936i
$505$	12.5824	+	15.7778i	0.559909	+	0.702103i
$506$	−1.49912	−	0.717151i	−0.0666439	−	0.0318812i
$507$	−0.319831	+	1.40127i	−0.0142042	+	0.0622327i
$508$	−23.4336	−	5.22078i	−1.03970	−	0.231635i
$509$		−	27.4868i		−	1.21833i	−0.793043	−	0.609166i	$-0.791504\pi$
$509$		−	27.4868i		−	1.21833i	0.793043	−	0.609166i	$-0.208496\pi$
$510$	−6.91046	+	3.35002i	−0.306000	+	0.148341i
$511$	31.6797	−	4.30656i	1.40143	−	0.190511i
$512$	−22.6212	+	0.528329i	−0.999727	+	0.0233491i
$513$	−1.05789	−	4.63490i	−0.0467068	−	0.204636i
$514$	−1.69746	−	0.382803i	−0.0748717	−	0.0168847i
$515$	2.23396	−	1.78152i	0.0984399	−	0.0785032i
$516$	0.0256850	+	4.94971i	0.00113072	+	0.217899i
$517$	5.60311	−	1.27887i	0.246424	−	0.0562447i
$518$	−26.7539	+	28.1548i	−1.17550	+	1.23705i
$519$	2.12438	+	0.484876i	0.0932500	+	0.0212837i
$520$	−10.6218	+	5.21742i	−0.465796	+	0.228799i
$521$			25.8196i			1.13118i	0.824687	+	0.565589i	$0.191351\pi$
$521$			25.8196i			1.13118i	−0.824687	+	0.565589i	$0.808649\pi$
$522$	−7.23567	+	3.50767i	−0.316697	+	0.153527i
$523$	3.26317	−	1.57146i	0.142689	−	0.0687152i	−0.361177	−	0.932497i	$-0.617625\pi$
$523$	3.26317	−	1.57146i	0.142689	−	0.0687152i	0.503866	+	0.863782i	$0.331911\pi$
$524$	9.71779	−	4.74212i	0.424523	−	0.207160i
$525$	−3.09207	+	9.53175i	−0.134949	+	0.416000i
$526$	−0.0347804	−	13.4050i	−0.00151650	−	0.584486i
$527$	−4.44229	−	1.01392i	−0.193509	−	0.0441672i
$528$	−2.95341	−	5.97343i	−0.128531	−	0.259960i
$529$	−20.2740	+	9.76345i	−0.881479	+	0.424498i
$530$	−13.9241	−	3.14009i	−0.604823	−	0.136397i
$531$	10.9919	+	5.29344i	0.477010	+	0.229716i
$532$	−21.6681	−	12.7802i	−0.939432	−	0.554091i
$533$	−15.2392	+	7.33879i	−0.660081	+	0.317878i
$534$	0.825003	−	0.190555i	0.0357014	−	0.00824612i
$535$	1.80511	+	7.90871i	0.0780418	+	0.341923i
$536$	−0.0837305	−	10.7569i	−0.00361661	−	0.464627i
$537$	−14.3131	−	11.4143i	−0.617656	−	0.492564i
$538$	−2.30298	+	1.84636i	−0.0992886	+	0.0796023i
$539$	2.07138	−	11.4760i	0.0892204	−	0.494306i
$540$	2.14958	+	0.478907i	0.0925034	+	0.0206089i
$541$	−17.7373	+	22.2418i	−0.762585	+	0.956252i	−0.999885	−	0.0151849i	$-0.995166\pi$
$541$	−17.7373	+	22.2418i	−0.762585	+	0.956252i	0.237299	+	0.971437i	$0.423738\pi$
$542$	−0.813604	−	3.52248i	−0.0349473	−	0.151303i
$543$	−11.7469	+	2.68116i	−0.504109	+	0.115060i
$544$	−27.2758	−	5.85432i	−1.16944	−	0.251002i
$545$	−1.15196	−	2.39208i	−0.0493447	−	0.102465i
$546$	1.23096	−	14.1636i	0.0526802	−	0.606145i
$547$	−14.7649	+	30.6595i	−0.631300	+	1.31091i	0.302513	+	0.953145i	$0.402174\pi$
$547$	−14.7649	+	30.6595i	−0.631300	+	1.31091i	−0.933813	+	0.357762i	$0.883540\pi$
$548$	−19.2482	+	9.39282i	−0.822244	+	0.401241i
$549$	−0.650115	−	1.34998i	−0.0277462	−	0.0576156i
$550$	0.0231518	+	8.92315i	0.000987197	+	0.380484i
$551$	−6.01503	+	26.3536i	−0.256249	+	1.12270i
$552$	1.94846	+	0.428795i	0.0829319	+	0.0182507i
$553$	−13.2276	+	22.1630i	−0.562493	+	0.942466i
$554$	9.32650	−	41.3564i	0.396245	−	1.75707i
$555$	−4.95931	−	10.2981i	−0.210511	−	0.437130i
$556$	−38.6750	−	18.3783i	−1.64019	−	0.779413i
$557$	26.8701			1.13852			0.569262	−	0.822156i	$-0.307229\pi$
$557$	26.8701			1.13852			0.569262	+	0.822156i	$0.307229\pi$
$558$	0.817346	+	1.01948i	0.0346010	+	0.0431581i
$559$	−2.09252	+	9.16794i	−0.0885043	+	0.387762i
$560$	9.65539	−	6.52498i	0.408015	−	0.275731i
$561$	−1.82813	−	8.00956i	−0.0771837	−	0.338164i
$562$	23.8227	−	30.0323i	1.00490	−	1.26683i
$563$	−22.1230	−	27.7414i	−0.932374	−	1.16916i	−0.985347	−	0.170564i	$-0.945441\pi$
$563$	−22.1230	−	27.7414i	−0.932374	−	1.16916i	0.0529726	−	0.998596i	$-0.483130\pi$
$564$	−6.20083	+	3.02590i	−0.261102	+	0.127413i
$565$	−19.3730	+	4.42176i	−0.815028	+	0.186025i
$566$	−19.1599	+	24.1540i	−0.805350	+	1.01527i
$567$	−1.82748	+	1.91320i	−0.0767468	+	0.0803468i
$568$	−7.11601	+	1.68256i	−0.298581	+	0.0705988i
$569$	−8.38463			−0.351502			−0.175751	−	0.984435i	$-0.556235\pi$
$569$	−8.38463			−0.351502			−0.175751	+	0.984435i	$0.556235\pi$
$570$	5.77616	−	4.63090i	0.241937	−	0.193967i
$571$	30.4531	+	6.95073i	1.27442	+	0.290879i	0.805625	−	0.592426i	$-0.201830\pi$
$571$	30.4531	+	6.95073i	1.27442	+	0.290879i	0.468799	+	0.883305i	$0.344687\pi$
$572$	−2.88108	−	12.3276i	−0.120464	−	0.515443i
$573$	−5.59486	+	4.46175i	−0.233729	+	0.186392i
$574$	13.8725	−	9.21837i	0.579026	−	0.384767i
$575$	−2.08872	−	1.66570i	−0.0871056	−	0.0694644i
$576$	5.08468	+	6.17625i	0.211862	+	0.257344i
$577$	18.3169	+	14.6073i	0.762544	+	0.608109i	0.925598	−	0.378508i	$-0.123563\pi$
$577$	18.3169	+	14.6073i	0.762544	+	0.608109i	−0.163053	+	0.986617i	$0.552134\pi$
$578$	−9.33859	−	4.46742i	−0.388434	−	0.185820i
$579$	−13.9463	−	17.4882i	−0.579590	−	0.726783i
$580$	−9.83045	−	7.75641i	−0.408187	−	0.322067i
$581$	−5.89461	−	43.3616i	−0.244550	−	1.79894i
$582$	−3.44191	+	7.19489i	−0.142672	+	0.298238i
$583$	6.62532	−	13.7576i	0.274393	−	0.569782i
$584$	−26.5551	+	21.5173i	−1.09886	+	0.890392i
$585$	3.76961	+	1.81535i	0.155854	+	0.0750555i
$586$	0.0683221	+	26.3326i	0.00282236	+	1.08779i
$587$	2.19302			0.0905155			0.0452577	−	0.998975i	$-0.485589\pi$
$587$	2.19302			0.0905155			0.0452577	+	0.998975i	$0.485589\pi$
$588$	0.713898	+	13.9818i	0.0294407	+	0.576599i
$589$	4.39259			0.180993
$590$	0.0492935	+	18.9986i	0.00202938	+	0.782161i
$591$	2.74270	+	1.32081i	0.112820	+	0.0543310i
$592$	8.81861	−	40.5733i	0.362443	−	1.66755i
$593$	−7.17649	+	14.9021i	−0.294703	+	0.611957i	−0.994772	−	0.102118i	$-0.967438\pi$
$593$	−7.17649	+	14.9021i	−0.294703	+	0.611957i	0.700069	+	0.714075i	$0.253152\pi$
$594$	−1.01670	+	2.12530i	−0.0417159	+	0.0872019i
$595$	13.4488	−	5.05467i	0.551346	−	0.207221i
$596$	−8.09374	+	10.2580i	−0.331533	+	0.420183i
$597$	2.20266	+	2.76205i	0.0901488	+	0.113043i
$598$	3.41920	+	1.63569i	0.139822	+	0.0668882i
$599$	11.8930	+	9.48433i	0.485934	+	0.387519i	0.835585	−	0.549360i	$-0.185129\pi$
$599$	11.8930	+	9.48433i	0.485934	+	0.387519i	−0.349652	+	0.936880i	$0.613700\pi$
$600$	−2.46500	−	10.4252i	−0.100633	−	0.425605i
$601$	29.3834	+	23.4325i	1.19857	+	0.955830i	0.999707	−	0.0241966i	$-0.00770277\pi$
$601$	29.3834	+	23.4325i	1.19857	+	0.955830i	0.198866	+	0.980027i	$0.436274\pi$
$602$	0.801782	−	9.22542i	0.0326782	−	0.376000i
$603$	−2.97350	+	2.37129i	−0.121090	+	0.0965664i
$604$	−8.39573	+	1.96216i	−0.341617	+	0.0798392i
$605$	−8.82952	−	2.01528i	−0.358971	−	0.0819328i
$606$	20.2217	−	16.2122i	0.821449	−	0.658578i
$607$	47.5785			1.93115			0.965576	−	0.260122i	$-0.0837626\pi$
$607$	47.5785			1.93115			0.965576	+	0.260122i	$0.0837626\pi$
$608$	26.8910	−	0.348873i	1.09057	−	0.0141487i
$609$	14.0817	−	5.29255i	0.570620	−	0.214465i
$610$	1.45007	−	1.82804i	0.0587115	−	0.0740150i
$611$	−12.7796	+	2.91687i	−0.517009	+	0.118004i
$612$	4.32548	+	8.86400i	0.174847	+	0.358306i
$613$	−11.4718	−	14.3851i	−0.463340	−	0.581010i	0.494186	−	0.869356i	$-0.335466\pi$
$613$	−11.4718	−	14.3851i	−0.463340	−	0.581010i	−0.957526	+	0.288346i	$0.906895\pi$
$614$	24.3751	−	30.7287i	0.983701	−	1.24011i
$615$	1.09074	+	4.77886i	0.0439830	+	0.192702i
$616$	4.47666	+	11.6351i	0.180370	+	0.468791i
$617$	4.05051	−	17.7465i	0.163068	−	0.714446i	−0.825591	−	0.564268i	$-0.809158\pi$
$617$	4.05051	−	17.7465i	0.163068	−	0.714446i	0.988659	−	0.150177i	$-0.0479845\pi$
$618$	−2.29547	−	2.86316i	−0.0923373	−	0.115173i
$619$	24.6790			0.991931			0.495966	−	0.868342i	$-0.334814\pi$
$619$	24.6790			0.991931			0.495966	+	0.868342i	$0.334814\pi$
$620$	−0.873350	+	1.83787i	−0.0350746	+	0.0738105i
$621$	−0.306048	−	0.635515i	−0.0122813	−	0.0255023i
$622$	−3.53251	+	15.6642i	−0.141641	+	0.628076i
$623$	−1.56964	+	0.213378i	−0.0628863	+	0.00854881i
$624$	6.73618	+	13.6243i	0.269663	+	0.545408i
$625$	−1.84302	+	8.07479i	−0.0737207	+	0.322992i
$626$	0.0722360	+	27.8411i	0.00288713	+	1.11275i
$627$	3.43633	+	7.13562i	0.137234	+	0.284969i
$628$	−7.39082	−	15.1456i	−0.294926	−	0.604377i
$629$	22.2106	−	46.1207i	0.885594	−	1.83895i
$630$	−3.92234	−	1.26116i	−0.156270	−	0.0502456i
$631$	16.2888	+	33.8241i	0.648448	+	1.34652i	0.922946	+	0.384928i	$0.125774\pi$
$631$	16.2888	+	33.8241i	0.648448	+	1.34652i	−0.274498	+	0.961588i	$0.588512\pi$
$632$	−0.214768	−	27.5914i	−0.00854303	−	1.09753i
$633$	14.9354	−	3.40891i	0.593630	−	0.135492i
$634$	3.15794	+	13.6722i	0.125418	+	0.542994i
$635$	−8.24141	+	10.3344i	−0.327050	+	0.410108i
$636$	−3.98645	+	17.8933i	−0.158073	+	0.709515i
$637$	−4.72442	+	26.1746i	−0.187188	+	1.03707i
$638$	10.4515	−	8.37926i	0.413780	−	0.331738i
$639$	2.02124	+	1.61188i	0.0799590	+	0.0637652i
$640$	−5.20059	+	11.3206i	−0.205572	+	0.447486i
$641$	0.789722	+	3.46000i	0.0311921	+	0.136662i	0.988126	−	0.153643i	$-0.0491005\pi$
$641$	0.789722	+	3.46000i	0.0311921	+	0.136662i	−0.956934	+	0.290305i	$0.906243\pi$
$642$	10.1512	−	2.34468i	0.400637	−	0.0925370i
$643$	26.1726	−	12.6041i	1.03215	−	0.497056i	0.160420	−	0.987049i	$-0.448715\pi$
$643$	26.1726	−	12.6041i	1.03215	−	0.497056i	0.871726	+	0.489993i	$0.163001\pi$
$644$	−3.55625	−	1.13328i	−0.140136	−	0.0446573i
$645$	2.45533	+	1.18242i	0.0966785	+	0.0465579i
$646$	32.3440	+	7.29407i	1.27256	+	0.286981i
$647$	−23.8971	+	11.5082i	−0.939492	+	0.452435i	−0.839990	−	0.542602i	$-0.817439\pi$
$647$	−23.8971	+	11.5082i	−0.939492	+	0.452435i	−0.0995017	+	0.995037i	$0.531725\pi$
$648$	0.607902	−	2.76233i	0.0238806	−	0.108514i
$649$	−19.8149	−	4.52261i	−0.777802	−	0.177528i
$650$	−0.0528050	−	20.3520i	−0.00207118	−	0.798272i
$651$	−1.34767	−	2.03953i	−0.0528192	−	0.0799355i
$652$	−18.9933	−	38.9220i	−0.743834	−	1.52430i
$653$	14.5177	−	6.99134i	0.568120	−	0.273592i	−0.127695	−	0.991814i	$-0.540758\pi$
$653$	14.5177	−	6.99134i	0.568120	−	0.273592i	0.695815	+	0.718221i	$0.255043\pi$
$654$	−3.06833	+	1.48745i	−0.119981	+	0.0581639i
$655$		−	5.95338i		−	0.232618i
$656$	−7.55886	+	16.1220i	−0.295124	+	0.629460i
$657$	11.7810	+	2.68893i	0.459619	+	0.104905i
$658$	12.0712	−	4.57268i	0.470583	−	0.178261i
$659$	32.9547	−	7.52169i	1.28373	−	0.293003i	0.474376	−	0.880322i	$-0.342674\pi$
$659$	32.9547	−	7.52169i	1.28373	−	0.293003i	0.809356	+	0.587319i	$0.199816\pi$
$660$	−3.66878	+	0.0190380i	−0.142807	+	0.000741054i
$661$	36.2416	−	28.9017i	1.40963	−	1.12415i	0.434978	−	0.900441i	$-0.356756\pi$
$661$	36.2416	−	28.9017i	1.40963	−	1.12415i	0.974657	−	0.223705i	$-0.0718152\pi$
$662$	36.3649	+	8.20084i	1.41336	+	0.318735i
$663$	4.16962	+	18.2683i	0.161935	+	0.709482i
$664$	29.4518	+	36.3474i	1.14295	+	1.41055i
$665$	−11.5555	+	7.63559i	−0.448104	+	0.296095i
$666$	−13.2094	+	6.40360i	−0.511855	+	0.248135i
$667$			4.01065i			0.155293i
$668$	−2.02289	+	9.07979i	−0.0782680	+	0.351308i
$669$	3.35634	−	14.7051i	0.129763	−	0.568531i
$670$	−5.34275	−	2.55588i	−0.206408	−	0.0987421i
$671$	1.55632	+	1.95157i	0.0600812	+	0.0753394i
$672$	−8.41227	−	12.3788i	−0.324510	−	0.477521i
$673$	24.5616	−	30.7993i	0.946781	−	1.18723i	−0.0354161	−	0.999373i	$-0.511276\pi$
$673$	24.5616	−	30.7993i	0.946781	−	1.18723i	0.982197	−	0.187853i	$-0.0601529\pi$
$674$	2.42419	−	1.17519i	0.0933763	−	0.0452665i
$675$	−2.36146	+	2.96117i	−0.0908925	+	0.113976i
$676$	0.654197	+	2.79919i	0.0251614	+	0.107661i
$677$	11.1372	−	8.88165i	0.428039	−	0.341349i	−0.385655	−	0.922643i	$-0.626025\pi$
$677$	11.1372	−	8.88165i	0.428039	−	0.341349i	0.813694	+	0.581294i	$0.197453\pi$
$678$	5.74346	+	24.8662i	0.220576	+	0.954980i
$679$	7.64708	−	12.8128i	0.293468	−	0.491711i
$680$	−9.48261	+	12.0826i	−0.363641	+	0.463345i
$681$	12.5788	+	6.05764i	0.482022	+	0.232129i
$682$	−1.70542	−	1.35280i	−0.0653037	−	0.0518014i
$683$	12.1241	−	25.1759i	0.463914	−	0.963328i	−0.529452	−	0.848340i	$-0.677603\pi$
$683$	12.1241	−	25.1759i	0.463914	−	0.963328i	0.993367	−	0.114989i	$-0.0366832\pi$
$684$	−5.96676	−	7.40295i	−0.228145	−	0.283059i
$685$			11.7920i			0.450549i
$686$	1.07006	−	26.1697i	0.0408552	−	0.999165i
$687$		−	1.81677i		−	0.0693141i
$688$	4.38759	+	8.87414i	0.167275	+	0.338323i
$689$	−15.1111	+	31.3785i	−0.575687	+	1.19543i
$690$	0.682633	−	0.860566i	0.0259874	−	0.0327612i
$691$	−12.4401	−	5.99082i	−0.473242	−	0.227901i	0.182032	−	0.983293i	$-0.441733\pi$
$691$	−12.4401	−	5.99082i	−0.473242	−	0.227901i	−0.655274	+	0.755391i	$0.727447\pi$
$692$	4.24367	−	0.991787i	0.161320	−	0.0377021i
$693$	2.25887	−	3.78477i	0.0858073	−	0.143772i
$694$	−21.2034	+	4.89746i	−0.804872	+	0.185905i
$695$	−18.4319	+	14.6989i	−0.699161	+	0.557562i
$696$	−9.92887	+	12.6512i	−0.376353	+	0.479542i
$697$	−13.6874	+	17.1634i	−0.518446	+	0.650111i
$698$	−6.81601	−	14.0602i	−0.257990	−	0.532185i
$699$	−1.22045	+	1.53039i	−0.0461615	+	0.0578847i
$700$	2.80264	+	19.8445i	0.105930	+	0.750053i
$701$	6.81689	+	8.54811i	0.257471	+	0.322858i	0.893720	−	0.448626i	$-0.148086\pi$
$701$	6.81689	+	8.54811i	0.257471	+	0.322858i	−0.636249	+	0.771484i	$0.719515\pi$
$702$	2.31891	−	4.84740i	0.0875216	−	0.182953i
$703$	−10.9810	+	48.1110i	−0.414157	+	1.81454i
$704$	−10.5478	−	8.14625i	−0.397536	−	0.307024i
$705$			3.79880i			0.143071i
$706$	−21.4721	−	44.2929i	−0.808113	−	1.66699i
$707$	−40.4546	+	26.7313i	−1.52145	+	1.00533i
$708$	24.4000	−	0.126616i	0.917007	−	0.00475853i
$709$	0.256041	+	1.12179i	0.00961582	+	0.0421297i	0.979508	−	0.201404i	$-0.0645505\pi$
$709$	0.256041	+	1.12179i	0.00961582	+	0.0421297i	−0.969892	+	0.243534i	$0.921693\pi$
$710$	−0.885661	+	3.92728i	−0.0332383	+	0.147388i
$711$	−7.62703	+	6.08235i	−0.286036	+	0.228106i
$712$	1.31573	−	1.06612i	0.0493092	−	0.0399546i
$713$	0.635391	−	0.145024i	0.0237956	−	0.00543118i
$714$	−6.53658	−	17.2556i	−0.244625	−	0.645773i
$715$	−6.79537	−	1.55100i	−0.254132	−	0.0580041i
$716$	−35.7381	−	7.96210i	−1.33560	−	0.297558i
$717$			16.9667i			0.633632i
$718$	0.211190	+	0.435645i	0.00788154	+	0.0162581i
$719$	−18.7706	+	9.03945i	−0.700026	+	0.337115i	−0.749817	−	0.661645i	$-0.769859\pi$
$719$	−18.7706	+	9.03945i	−0.700026	+	0.337115i	0.0497914	+	0.998760i	$0.484144\pi$
$720$	4.28374	−	1.02462i	0.159645	−	0.0381854i
$721$	3.78485	+	5.72790i	0.140955	+	0.213318i
$722$	−5.09321	+	0.0132148i	−0.189550	+	0.000491802i
$723$	−0.848820	−	0.193738i	−0.0315679	−	0.00720518i
$724$	−18.7624	+	15.1225i	−0.697299	+	0.562021i
$725$	19.4026	−	9.34378i	0.720593	−	0.347019i
$726$	−2.55882	+	11.3466i	−0.0949668	+	0.421110i
$727$	36.2936	+	17.4781i	1.34605	+	0.648226i	0.961482	−	0.274869i	$-0.0886345\pi$
$727$	36.2936	+	17.4781i	1.34605	+	0.648226i	0.384573	+	0.923095i	$0.374349\pi$
$728$	−10.2104	−	26.5375i	−0.378424	−	0.983543i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	4.23492	+	18.3350i	0.156741	+	0.678608i
$731$	2.71587	+	11.8990i	0.100450	+	0.440101i
$732$	−2.35260	−	1.85624i	−0.0869545	−	0.0686088i
$733$	−34.6408	−	27.6251i	−1.27949	−	1.02036i	−0.998153	−	0.0607450i	$-0.980652\pi$
$733$	−34.6408	−	27.6251i	−1.27949	−	1.02036i	−0.281332	−	0.959610i	$-0.590776\pi$
$734$	−17.4006	−	21.7039i	−0.642267	−	0.801104i
$735$	7.09058	+	3.02273i	0.261540	+	0.111495i
$736$	3.87828	−	0.938286i	0.142955	−	0.0345857i
$737$	3.95038	−	4.95361i	0.145514	−	0.182469i
$738$	6.13390	−	1.41678i	0.225792	−	0.0521523i
$739$	−20.4028	+	4.65680i	−0.750528	+	0.171303i	−0.580640	−	0.814160i	$-0.697198\pi$
$739$	−20.4028	+	4.65680i	−0.750528	+	0.171303i	−0.169888	+	0.985463i	$0.554340\pi$
$740$	−17.9465	−	14.1601i	−0.659725	−	0.520535i
$741$	−7.83763	−	16.2750i	−0.287923	−	0.597877i
$742$	10.4979	−	32.6498i	0.385392	−	1.19861i
$743$	−6.46657	+	13.4280i	−0.237236	+	0.492625i	−0.985264	−	0.171042i	$-0.945287\pi$
$743$	−6.46657	+	13.4280i	−0.237236	+	0.492625i	0.748028	+	0.663667i	$0.231001\pi$
$744$	2.36330	+	1.11553i	0.0866428	+	0.0408972i
$745$	3.12139	+	6.48164i	0.114359	+	0.237469i
$746$	26.6269	−	0.0690857i	0.974881	−	0.00252941i
$747$	3.68047	−	16.1252i	0.134661	−	0.589990i
$748$	−10.3111	−	12.7930i	−0.377012	−	0.467759i
$749$	−19.3135	+	2.62550i	−0.705702	+	0.0959337i
$750$	−13.3491	−	3.01042i	−0.487440	−	0.109925i
$751$	−22.2933	−	46.2926i	−0.813495	−	1.68924i	−0.720375	−	0.693585i	$-0.756030\pi$
$751$	−22.2933	−	46.2926i	−0.813495	−	1.68924i	−0.0931204	−	0.995655i	$-0.529684\pi$
$752$	−8.49140	+	10.8776i	−0.309650	+	0.396664i
$753$	25.7815			0.939532
$754$	−23.8380	+	19.1115i	−0.868127	+	0.696001i
$755$	−1.05631	+	4.62800i	−0.0384430	+	0.168430i
$756$	−1.60664	+	5.04170i	−0.0584331	+	0.183365i
$757$	10.3695	+	45.4317i	0.376885	+	1.65124i	0.706935	+	0.707279i	$0.250078\pi$
$757$	10.3695	+	45.4317i	0.376885	+	1.65124i	−0.330049	+	0.943964i	$0.607065\pi$
$758$	−20.2207	−	16.0398i	−0.734449	−	0.582593i
$759$	0.732654	+	0.918719i	0.0265937	+	0.0333474i
$760$	6.32034	−	13.3899i	0.229263	−	0.485704i
$761$	33.2041	−	7.57862i	1.20365	−	0.274725i	0.426761	−	0.904365i	$-0.359655\pi$
$761$	33.2041	−	7.57862i	1.20365	−	0.274725i	0.776887	+	0.629640i	$0.216798\pi$
$762$	13.3000	+	10.5501i	0.481809	+	0.382189i
$763$	5.97143	−	2.24434i	0.216180	−	0.0812505i
$764$	−6.14283	+	12.9269i	−0.222240	+	0.467679i
$765$	5.43033			0.196334
$766$	14.6104	+	18.2237i	0.527895	+	0.658448i
$767$	45.1940	+	10.3152i	1.63186	+	0.372461i
$768$	14.5565	+	6.64145i	0.525262	+	0.239653i
$769$	−39.5015	+	31.5014i	−1.42446	+	1.13597i	−0.455068	+	0.890457i	$0.650385\pi$
$769$	−39.5015	+	31.5014i	−1.42446	+	1.13597i	−0.969393	+	0.245513i	$0.921044\pi$
$770$	6.83797	+	0.594289i	0.246423	+	0.0214167i
$771$	0.961988	+	0.767160i	0.0346451	+	0.0276286i
$772$	−40.4063

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.672024 + 1.40478i) q^{10} +(-1.30247 - 1.03868i) q^{11} +(1.80642 + 0.858405i) q^{12} +(2.97068 + 2.36904i) q^{13} +(-3.21789 - 1.90923i) q^{14} +(0.860908 - 0.686552i) q^{15} +(3.99978 - 0.0415125i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 - 1.10339i) q^{18} -4.75410 q^{19} +(0.945227 - 1.98912i) q^{20} +(1.45858 + 2.20738i) q^{21} +(1.84577 + 1.46414i) q^{22} +(-0.687683 + 0.156959i) q^{23} +(-2.55780 - 1.20734i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-4.20986 - 3.33942i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.55778 + 2.68824i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 + 0.974086i) q^{30} -0.923958 q^{31} +(-5.65638 + 0.0733836i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-6.80339 - 1.53427i) q^{34} +(2.43065 - 1.60611i) q^{35} +(1.25508 + 1.55717i) q^{36} +(2.30980 - 10.1199i) q^{37} +(6.72329 - 0.0174441i) q^{38} +(1.64860 + 3.42336i) q^{39} +(-1.32945 + 2.81650i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.07084 - 3.11635i) q^{42} +(1.07381 + 2.22980i) q^{43} +(-2.61568 - 2.06382i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.971952 - 0.224496i) q^{46} +(-2.15096 + 2.69722i) q^{47} +(3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 - 4.17905i) q^{50} +(3.85563 + 3.07476i) q^{51} +(5.96587 + 4.70719i) q^{52} +(2.03963 + 8.93618i) q^{53} +(-0.318268 - 1.37794i) q^{54} +(-1.65275 + 0.795923i) q^{55} +(-6.45551 - 3.78502i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(-1.76896 + 7.84408i) q^{58} +(10.9919 - 5.29344i) q^{59} +(1.71467 - 1.38202i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(1.30667 - 0.00339026i) q^{62} +(0.356388 + 2.62164i) q^{63} +(7.99903 - 0.124535i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.02772 + 2.11999i) q^{66} +3.80325i q^{67} +(9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-3.43155 + 2.28029i) q^{70} +(2.52044 - 0.575275i) q^{71} +(-1.78065 - 2.19756i) q^{72} +(9.44759 - 7.53420i) q^{73} +(-3.22941 + 14.3201i) q^{74} +(0.842794 + 3.69252i) q^{75} +(-9.50807 + 0.0493393i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(-2.34403 - 4.83530i) q^{78} +9.75534i q^{79} +(1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.71674 - 5.67902i) q^{82} +(-10.3125 - 12.9314i) q^{83} +(2.94003 + 4.39957i) q^{84} +(3.38576 - 4.24560i) q^{85} +(-1.52678 - 3.14946i) q^{86} +(3.54510 - 4.44541i) q^{87} +(3.70669 + 2.90908i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(-1.51730 + 0.350459i) q^{90} +(3.53679 + 9.41022i) q^{91} +(-1.37372 + 0.321051i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(3.03201 - 3.82232i) q^{94} +(-2.27136 + 4.71652i) q^{95} +(-5.12806 - 2.38809i) q^{96} -5.63973i q^{97} +(-4.72189 - 8.70079i) q^{98} -1.66592i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

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