LMFDB - Embedded newform 504.2.bt.a.11.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(11,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1, 4]))

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

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

chi := DirichletCharacter("504.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bt (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.20
Character	$\chi$	$=$	504.11
Dual form			504.2.bt.a.275.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08666 + 0.905084i) q^{2} +(1.73140 - 0.0474789i) q^{3} +(0.361645 - 1.96703i) q^{4} +(1.91888 - 3.32360i) q^{5} +(-1.83846 + 1.61866i) q^{6} +(2.42950 + 1.04762i) q^{7} +(1.38734 + 2.46481i) q^{8} +(2.99549 - 0.164410i) q^{9} +O(q^{10})$	\(q+(-1.08666 + 0.905084i) q^{2} +(1.73140 - 0.0474789i) q^{3} +(0.361645 - 1.96703i) q^{4} +(1.91888 - 3.32360i) q^{5} +(-1.83846 + 1.61866i) q^{6} +(2.42950 + 1.04762i) q^{7} +(1.38734 + 2.46481i) q^{8} +(2.99549 - 0.164410i) q^{9} +(0.922971 + 5.34836i) q^{10} +(-0.204728 + 0.118200i) q^{11} +(0.532760 - 3.42289i) q^{12} +(-4.94515 + 2.85508i) q^{13} +(-3.58822 + 1.06050i) q^{14} +(3.16455 - 5.84558i) q^{15} +(-3.73843 - 1.42274i) q^{16} +(0.276967 + 0.159907i) q^{17} +(-3.10627 + 2.88983i) q^{18} +(0.873193 + 1.51241i) q^{19} +(-5.84366 - 4.97646i) q^{20} +(4.25618 + 1.69850i) q^{21} +(0.115488 - 0.313739i) q^{22} +(3.45503 - 5.98428i) q^{23} +(2.51907 + 4.20170i) q^{24} +(-4.86420 - 8.42504i) q^{25} +(2.78959 - 7.57827i) q^{26} +(5.17859 - 0.426882i) q^{27} +(2.93932 - 4.40004i) q^{28} +(-0.683815 + 1.18440i) q^{29} +(1.85197 + 9.21632i) q^{30} +0.159132i q^{31} +(5.35008 - 1.83756i) q^{32} +(-0.348854 + 0.214371i) q^{33} +(-0.445697 + 0.0769144i) q^{34} +(8.14380 - 6.06443i) q^{35} +(0.759906 - 5.95168i) q^{36} +(-8.16057 + 4.71151i) q^{37} +(-2.31772 - 0.853162i) q^{38} +(-8.42647 + 5.17808i) q^{39} +(10.8542 + 0.118695i) q^{40} +(3.01422 - 1.74026i) q^{41} +(-6.16230 + 2.00651i) q^{42} +(-2.46142 + 4.26330i) q^{43} +(0.158464 + 0.445453i) q^{44} +(5.20155 - 10.2713i) q^{45} +(1.66185 + 9.62995i) q^{46} -10.7247 q^{47} +(-6.54026 - 2.28583i) q^{48} +(4.80498 + 5.09040i) q^{49} +(12.9111 + 4.75261i) q^{50} +(0.487132 + 0.263713i) q^{51} +(3.82765 + 10.7598i) q^{52} +(-2.00815 + 3.47821i) q^{53} +(-5.24098 + 5.15093i) q^{54} +0.907244i q^{55} +(0.788371 + 7.44167i) q^{56} +(1.58365 + 2.57714i) q^{57} +(-0.328912 - 1.90595i) q^{58} -5.55343i q^{59} +(-10.3540 - 8.33879i) q^{60} +8.25277i q^{61} +(-0.144028 - 0.172922i) q^{62} +(7.44980 + 2.73871i) q^{63} +(-4.15055 + 6.83907i) q^{64} +21.9142i q^{65} +(0.185060 - 0.548690i) q^{66} -1.97666 q^{67} +(0.414705 - 0.486973i) q^{68} +(5.69791 - 10.5252i) q^{69} +(-3.36069 + 13.9608i) q^{70} +6.20717 q^{71} +(4.56102 + 7.15522i) q^{72} +(7.20414 - 12.4779i) q^{73} +(4.60343 - 12.5058i) q^{74} +(-8.82188 - 14.3562i) q^{75} +(3.29075 - 1.17064i) q^{76} +(-0.621216 + 0.0726892i) q^{77} +(4.47009 - 13.2535i) q^{78} -3.71366i q^{79} +(-11.9022 + 9.69496i) q^{80} +(8.94594 - 0.984978i) q^{81} +(-1.70034 + 4.61920i) q^{82} +(-3.80247 - 2.19535i) q^{83} +(4.88024 - 7.75779i) q^{84} +(1.06293 - 0.613684i) q^{85} +(-1.18393 - 6.86054i) q^{86} +(-1.12772 + 2.08314i) q^{87} +(-0.575368 - 0.340631i) q^{88} +(6.03909 - 3.48667i) q^{89} +(3.64408 + 15.8692i) q^{90} +(-15.0053 + 1.75579i) q^{91} +(-10.5218 - 8.96034i) q^{92} +(0.00755541 + 0.275521i) q^{93} +(11.6541 - 9.70677i) q^{94} +6.70221 q^{95} +(9.17588 - 3.43557i) q^{96} +(-6.61866 + 11.4639i) q^{97} +(-9.82860 - 1.18261i) q^{98} +(-0.593828 + 0.387726i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.08666	+	0.905084i	−0.768382	+	0.639991i
$2$	−1.08666	+	0.905084i	−0.768382	+	0.639991i
$3$	1.73140	−	0.0474789i	0.999624	−	0.0274120i
$3$	1.73140	−	0.0474789i	0.999624	−	0.0274120i
$4$	0.361645	−	1.96703i	0.180823	−	0.983516i
$5$	1.91888	−	3.32360i	0.858149	−	1.48636i	−0.0155436	−	0.999879i	$-0.504948\pi$
$5$	1.91888	−	3.32360i	0.858149	−	1.48636i	0.873693	−	0.486478i	$-0.161719\pi$
$6$	−1.83846	+	1.61866i	−0.750550	+	0.660813i
$7$	2.42950	+	1.04762i	0.918266	+	0.395964i
$7$	2.42950	+	1.04762i	0.918266	+	0.395964i
$8$	1.38734	+	2.46481i	0.490500	+	0.871441i
$9$	2.99549	−	0.164410i	0.998497	−	0.0548033i
$10$	0.922971	+	5.34836i	0.291869	+	1.69130i
$11$	−0.204728	+	0.118200i	−0.0617278	+	0.0356386i	−0.530546	−	0.847656i	$-0.678013\pi$
$11$	−0.204728	+	0.118200i	−0.0617278	+	0.0356386i	0.468818	+	0.883295i	$0.344680\pi$
$12$	0.532760	−	3.42289i	0.153795	−	0.988103i
$13$	−4.94515	+	2.85508i	−1.37154	+	0.791857i	−0.991122	−	0.132958i	$-0.957552\pi$
$13$	−4.94515	+	2.85508i	−1.37154	+	0.791857i	−0.380416	+	0.924816i	$0.624219\pi$
$14$	−3.58822	+	1.06050i	−0.958993	+	0.283430i
$15$	3.16455	−	5.84558i	0.817083	−	1.50932i
$16$	−3.73843	−	1.42274i	−0.934606	−	0.355684i
$17$	0.276967	+	0.159907i	0.0671743	+	0.0387831i	0.533211	−	0.845982i	$-0.320985\pi$
$17$	0.276967	+	0.159907i	0.0671743	+	0.0387831i	−0.466037	+	0.884765i	$0.654319\pi$
$18$	−3.10627	+	2.88983i	−0.732154	+	0.681139i
$19$	0.873193	+	1.51241i	0.200324	+	0.346972i	0.948633	−	0.316379i	$-0.102467\pi$
$19$	0.873193	+	1.51241i	0.200324	+	0.346972i	−0.748309	+	0.663351i	$0.769134\pi$
$20$	−5.84366	−	4.97646i	−1.30668	−	1.11277i
$21$	4.25618	+	1.69850i	0.928775	+	0.370644i
$22$	0.115488	−	0.313739i	0.0246222	−	0.0668893i
$23$	3.45503	−	5.98428i	0.720423	−	1.24781i	−0.240407	−	0.970672i	$-0.577281\pi$
$23$	3.45503	−	5.98428i	0.720423	−	1.24781i	0.960830	−	0.277137i	$-0.0893857\pi$
$24$	2.51907	+	4.20170i	0.514204	+	0.857668i
$25$	−4.86420	−	8.42504i	−0.972839	−	1.68501i
$26$	2.78959	−	7.57827i	0.547083	−	1.48622i
$27$	5.17859	−	0.426882i	0.996620	−	0.0821535i
$28$	2.93932	−	4.40004i	0.555480	−	0.831530i
$29$	−0.683815	+	1.18440i	−0.126981	+	0.219938i	−0.922506	−	0.385984i	$-0.873862\pi$
$29$	−0.683815	+	1.18440i	−0.126981	+	0.219938i	0.795524	+	0.605922i	$0.207195\pi$
$30$	1.85197	+	9.21632i	0.338121	+	1.68266i
$31$			0.159132i			0.0285809i	0.999898	+	0.0142905i	$0.00454895\pi$
$31$			0.159132i			0.0285809i	−0.999898	+	0.0142905i	$0.995451\pi$
$32$	5.35008	−	1.83756i	0.945770	−	0.324838i
$33$	−0.348854	+	0.214371i	−0.0607277	+	0.0373173i
$34$	−0.445697	+	0.0769144i	−0.0764364	+	0.0131907i
$35$	8.14380	−	6.06443i	1.37655	−	1.02508i
$36$	0.759906	−	5.95168i	0.126651	−	0.991947i
$37$	−8.16057	+	4.71151i	−1.34159	+	0.774567i	−0.987041	−	0.160471i	$-0.948699\pi$
$37$	−8.16057	+	4.71151i	−1.34159	+	0.774567i	−0.354549	+	0.935038i	$0.615366\pi$
$38$	−2.31772	−	0.853162i	−0.375984	−	0.138401i
$39$	−8.42647	+	5.17808i	−1.34932	+	0.829156i
$40$	10.8542	+	0.118695i	1.71620	+	0.0187673i
$41$	3.01422	−	1.74026i	0.470743	−	0.271783i	−0.245808	−	0.969319i	$-0.579053\pi$
$41$	3.01422	−	1.74026i	0.470743	−	0.271783i	0.716551	+	0.697535i	$0.245720\pi$
$42$	−6.16230	+	2.00651i	−0.950863	+	0.309612i
$43$	−2.46142	+	4.26330i	−0.375363	+	0.650148i	−0.990381	−	0.138365i	$-0.955815\pi$
$43$	−2.46142	+	4.26330i	−0.375363	+	0.650148i	0.615018	+	0.788513i	$0.289149\pi$
$44$	0.158464	+	0.445453i	0.0238893	+	0.0671545i
$45$	5.20155	−	10.2713i	0.775402	−	1.53115i
$46$	1.66185	+	9.62995i	0.245027	+	1.41986i
$47$	−10.7247			−1.56436			−0.782180	−	0.623052i	$-0.785892\pi$
$47$	−10.7247			−1.56436			−0.782180	+	0.623052i	$0.785892\pi$
$48$	−6.54026	−	2.28583i	−0.944005	−	0.329931i
$49$	4.80498	+	5.09040i	0.686425	+	0.727201i
$50$	12.9111	+	4.75261i	1.82590	+	0.672121i
$51$	0.487132	+	0.263713i	0.0682122	+	0.0369271i
$52$	3.82765	+	10.7598i	0.530799	+	1.49211i
$53$	−2.00815	+	3.47821i	−0.275840	+	0.477769i	−0.970347	−	0.241717i	$-0.922289\pi$
$53$	−2.00815	+	3.47821i	−0.275840	+	0.477769i	0.694507	+	0.719486i	$0.255623\pi$
$54$	−5.24098	+	5.15093i	−0.713207	+	0.700953i
$55$			0.907244i			0.122333i
$56$	0.788371	+	7.44167i	0.105351	+	0.994435i
$57$	1.58365	+	2.57714i	0.209760	+	0.341350i
$58$	−0.328912	−	1.90595i	−0.0431882	−	0.250263i
$59$		−	5.55343i		−	0.722995i	−0.932373	−	0.361497i	$-0.882266\pi$
$59$		−	5.55343i		−	0.722995i	0.932373	−	0.361497i	$-0.117734\pi$
$60$	−10.3540	−	8.33879i	−1.33670	−	1.07653i
$61$			8.25277i			1.05666i	0.849040	+	0.528329i	$0.177181\pi$
$61$			8.25277i			1.05666i	−0.849040	+	0.528329i	$0.822819\pi$
$62$	−0.144028	−	0.172922i	−0.0182915	−	0.0219611i
$63$	7.44980	+	2.73871i	0.938586	+	0.345045i
$64$	−4.15055	+	6.83907i	−0.518819	+	0.854884i
$65$			21.9142i			2.71813i
$66$	0.185060	−	0.548690i	0.0227794	−	0.0675391i
$67$	−1.97666			−0.241488			−0.120744	−	0.992684i	$-0.538528\pi$
$67$	−1.97666			−0.241488			−0.120744	+	0.992684i	$0.538528\pi$
$68$	0.414705	−	0.486973i	0.0502904	−	0.0590541i
$69$	5.69791	−	10.5252i	0.685948	−	1.26709i
$70$	−3.36069	+	13.9608i	−0.401680	+	1.66863i
$71$	6.20717			0.736656			0.368328	−	0.929696i	$-0.379930\pi$
$71$	6.20717			0.736656			0.368328	+	0.929696i	$0.379930\pi$
$72$	4.56102	+	7.15522i	0.537521	+	0.843250i
$73$	7.20414	−	12.4779i	0.843181	−	1.46043i	−0.0440100	−	0.999031i	$-0.514013\pi$
$73$	7.20414	−	12.4779i	0.843181	−	1.46043i	0.887191	−	0.461402i	$-0.152653\pi$
$74$	4.60343	−	12.5058i	0.535138	−	1.45377i
$75$	−8.82188	−	14.3562i	−1.01866	−	1.65771i
$76$	3.29075	−	1.17064i	0.377475	−	0.134282i
$77$	−0.621216	+	0.0726892i	−0.0707941	+	0.00828370i
$78$	4.47009	−	13.2535i	0.506137	−	1.50066i
$79$		−	3.71366i		−	0.417819i	−0.977935	−	0.208910i	$-0.933009\pi$
$79$		−	3.71366i		−	0.417819i	0.977935	−	0.208910i	$-0.0669914\pi$
$80$	−11.9022	+	9.69496i	−1.33071	+	1.08393i
$81$	8.94594	−	0.984978i	0.993993	−	0.109442i
$82$	−1.70034	+	4.61920i	−0.187771	+	0.510105i
$83$	−3.80247	−	2.19535i	−0.417375	−	0.240971i	0.276579	−	0.960991i	$-0.410799\pi$
$83$	−3.80247	−	2.19535i	−0.417375	−	0.240971i	−0.693954	+	0.720020i	$0.744133\pi$
$84$	4.88024	−	7.75779i	0.532478	−	0.846444i
$85$	1.06293	−	0.613684i	0.115291	−	0.0665634i
$86$	−1.18393	−	6.86054i	−0.127667	−	0.739791i
$87$	−1.12772	+	2.08314i	−0.120905	+	0.223336i
$88$	−0.575368	−	0.340631i	−0.0613344	−	0.0363114i
$89$	6.03909	−	3.48667i	0.640142	−	0.369586i	−0.144527	−	0.989501i	$-0.546166\pi$
$89$	6.03909	−	3.48667i	0.640142	−	0.369586i	0.784669	+	0.619915i	$0.212833\pi$
$90$	3.64408	+	15.8692i	0.384119	+	1.67276i
$91$	−15.0053	+	1.75579i	−1.57298	+	0.184056i
$92$	−10.5218	−	8.96034i	−1.09697	−	0.934180i
$93$	0.00755541	+	0.275521i	0.000783460	+	0.0285702i
$94$	11.6541	−	9.70677i	1.20203	−	1.00118i
$95$	6.70221			0.687632
$96$	9.17588	−	3.43557i	0.936510	−	0.350642i
$97$	−6.61866	+	11.4639i	−0.672024	+	1.16398i	0.305306	+	0.952254i	$0.401241\pi$
$97$	−6.61866	+	11.4639i	−0.672024	+	1.16398i	−0.977329	+	0.211725i	$0.932092\pi$
$98$	−9.82860	−	1.18261i	−0.992839	−	0.119462i
$99$	−0.593828	+	0.387726i	−0.0596819	+	0.0389679i
$100$	−18.3314	+	6.52115i	−1.83314	+	0.652115i
$101$	−3.11906	−	5.40237i	−0.310358	−	0.537556i	0.668082	−	0.744088i	$-0.267116\pi$
$101$	−3.11906	−	5.40237i	−0.310358	−	0.537556i	−0.978440	+	0.206532i	$0.933782\pi$
$102$	−0.768028	+	0.154331i	−0.0760461	+	0.0152810i
$103$	17.0650	+	9.85247i	1.68146	+	0.970793i	0.960691	+	0.277620i	$0.0895456\pi$
$103$	17.0650	+	9.85247i	1.68146	+	0.970793i	0.720771	+	0.693173i	$0.243788\pi$
$104$	−13.8979	−	8.22786i	−1.36280	−	0.806808i
$105$	13.8122	−	10.8866i	1.34794	−	1.06242i
$106$	−0.965908	−	5.59716i	−0.0938173	−	0.543644i
$107$	−5.69754	+	3.28948i	−0.550802	+	0.318006i	−0.749446	−	0.662066i	$-0.769680\pi$
$107$	−5.69754	+	3.28948i	−0.550802	+	0.318006i	0.198643	+	0.980072i	$0.436346\pi$
$108$	1.03312	−	10.3408i	0.0994122	−	0.995046i
$109$	9.87250	+	5.69989i	0.945614	+	0.545951i	0.891716	−	0.452596i	$-0.149502\pi$
$109$	9.87250	+	5.69989i	0.945614	+	0.545951i	0.0538985	+	0.998546i	$0.482835\pi$
$110$	−0.821132	−	0.985863i	−0.0782919	−	0.0939984i
$111$	−13.9055	+	8.54496i	−1.31985	+	0.811052i
$112$	−7.59203	−	7.37300i	−0.717379	−	0.696683i
$113$	−16.1761	+	9.33930i	−1.52172	+	0.878567i	−0.522052	+	0.852914i	$0.674833\pi$
$113$	−16.1761	+	9.33930i	−1.52172	+	0.878567i	−0.999671	+	0.0256537i	$0.991833\pi$
$114$	−4.05341	−	1.36712i	−0.379637	−	0.128043i
$115$	−13.2596	−	22.9662i	−1.23646	−	2.14161i
$116$	2.08246	+	1.77342i	0.193351	+	0.164658i
$117$	−14.3437	+	9.36541i	−1.32608	+	0.865832i
$118$	5.02632	+	6.03467i	0.462710	+	0.555536i
$119$	0.505370	+	0.678651i	0.0463272	+	0.0622118i
$120$	18.7985	−	0.309836i	1.71606	−	0.0282840i
$121$	−5.47206	+	9.47788i	−0.497460	+	0.861626i
$122$	−7.46945	−	8.96792i	−0.676252	−	0.811918i
$123$	5.13620	−	3.15620i	0.463116	−	0.284585i
$124$	0.313017	+	0.0575493i	0.0281098	+	0.00516808i
$125$	−18.1464			−1.62307
$126$	−10.5741	+	3.76666i	−0.942019	+	0.335560i
$127$		−	15.0819i		−	1.33830i	−0.743127	−	0.669150i	$-0.766658\pi$
$127$		−	15.0819i		−	1.33830i	0.743127	−	0.669150i	$-0.233342\pi$
$128$	−1.67971	−	11.1883i	−0.148467	−	0.988917i
$129$	−4.05929	+	7.49835i	−0.357400	+	0.660193i
$130$	−19.8342	−	23.8133i	−1.73958	−	2.08856i
$131$	12.4731	+	7.20136i	1.08978	+	0.629186i	0.933518	−	0.358530i	$-0.116722\pi$
$131$	12.4731	+	7.20136i	1.08978	+	0.629186i	0.156263	+	0.987715i	$0.450055\pi$
$132$	0.295514	+	0.763733i	0.0257212	+	0.0664744i
$133$	0.536986	+	4.58919i	0.0465626	+	0.397934i
$134$	2.14796	−	1.78905i	0.185555	−	0.154550i
$135$	8.51830	−	18.0307i	0.733139	−	1.55183i
$136$	−0.00989127	+	0.904515i	−0.000848169	+	0.0775616i
$137$	−3.49623	+	2.01855i	−0.298703	+	0.172456i	−0.641860	−	0.766822i	$-0.721837\pi$
$137$	−3.49623	+	2.01855i	−0.298703	+	0.172456i	0.343157	+	0.939278i	$0.388504\pi$
$138$	3.33455	+	16.5944i	0.283856	+	1.41261i
$139$	−5.48811	−	9.50568i	−0.465495	−	0.806261i	0.533729	−	0.845656i	$-0.320790\pi$
$139$	−5.48811	−	9.50568i	−0.465495	−	0.806261i	−0.999224	+	0.0393947i	$0.987457\pi$
$140$	−8.98376	−	18.2123i	−0.759266	−	1.53922i
$141$	−18.5688	+	0.509198i	−1.56377	+	0.0428822i
$142$	−6.74507	+	5.61802i	−0.566034	+	0.471453i
$143$	0.674940	−	1.16903i	0.0564413	−	0.0977593i
$144$	−11.4323	−	3.64716i	−0.952694	−	0.303930i
$145$	2.62432	+	4.54545i	0.217938	+	0.377479i
$146$	3.46516	+	20.0796i	0.286778	+	1.66180i
$147$	8.56102	+	8.58539i	0.706101	+	0.708111i
$148$	6.31645	+	17.7560i	0.519209	+	1.45953i
$149$	−9.50444	+	16.4622i	−0.778634	+	1.34863i	0.154094	+	0.988056i	$0.450754\pi$
$149$	−9.50444	+	16.4622i	−0.778634	+	1.34863i	−0.932729	+	0.360578i	$0.882579\pi$
$150$	22.5799	+	7.61567i	1.84364	+	0.621817i
$151$	−7.03306	+	4.06054i	−0.572343	+	0.330442i	−0.758084	−	0.652156i	$-0.773865\pi$
$151$	−7.03306	+	4.06054i	−0.572343	+	0.330442i	0.185742	+	0.982599i	$0.440531\pi$
$152$	−2.51639	+	4.25049i	−0.204106	+	0.344761i
$153$	0.855942	+	0.433463i	0.0691988	+	0.0350434i
$154$	0.609259	−	0.641241i	0.0490955	−	0.0516727i
$155$	0.528890	+	0.305355i	0.0424815	+	0.0245267i
$156$	7.13805	+	18.4478i	0.571501	+	1.47700i
$157$		−	4.39016i		−	0.350373i	−0.984535	−	0.175186i	$-0.943947\pi$
$157$		−	4.39016i		−	0.350373i	0.984535	−	0.175186i	$-0.0560528\pi$
$158$	3.36117	+	4.03547i	0.267400	+	0.321045i
$159$	−3.31176	+	6.11752i	−0.262640	+	0.485151i
$160$	4.15884	−	21.3076i	0.328785	−	1.68451i
$161$	14.6633	−	10.9193i	1.15563	−	0.860560i
$162$	−8.82968	+	9.16716i	−0.693725	+	0.720240i
$163$	−5.81426	−	10.0706i	−0.455408	−	0.788789i	0.543304	−	0.839536i	$-0.317173\pi$
$163$	−5.81426	−	10.0706i	−0.455408	−	0.788789i	−0.998712	+	0.0507469i	$0.983840\pi$
$164$	−2.33307	−	6.55843i	−0.182182	−	0.512128i
$165$	0.0430750	+	1.57080i	0.00335338	+	0.122287i
$166$	6.11896	−	1.05595i	0.474923	−	0.0819580i
$167$	1.20742	+	2.09132i	0.0934332	+	0.161831i	0.908954	−	0.416897i	$-0.136882\pi$
$167$	1.20742	+	2.09132i	0.0934332	+	0.161831i	−0.815520	+	0.578728i	$0.803549\pi$
$168$	1.71831	+	12.8471i	0.132570	+	0.991174i
$169$	9.80299	−	16.9793i	0.754076	−	1.30610i
$170$	−0.599606	+	1.62891i	−0.0459877	+	0.124931i
$171$	2.86430	+	4.38686i	0.219038	+	0.335472i
$172$	7.49589	+	6.38350i	0.571556	+	0.486737i
$173$	0.0440684			0.00335046			0.00167523	−	0.999999i	$-0.499467\pi$
$173$	0.0440684			0.00335046			0.00167523	+	0.999999i	$0.499467\pi$
$174$	−0.659970	−	3.28434i	−0.0500322	−	0.248986i
$175$	−2.99133	−	25.5645i	−0.226123	−	1.93249i
$176$	0.933527	−	0.150607i	0.0703673	−	0.0113524i
$177$	−0.263671	−	9.61521i	−0.0198187	−	0.722723i
$178$	−3.40669	+	9.25470i	−0.255342	+	0.693669i
$179$	−8.13323	−	4.69572i	−0.607906	−	0.350975i	0.164239	−	0.986420i	$-0.447483\pi$
$179$	−8.13323	−	4.69572i	−0.607906	−	0.350975i	−0.772145	+	0.635446i	$0.780816\pi$
$180$	−18.3228	−	13.9462i	−1.36570	−	1.03949i
$181$			1.14072i			0.0847890i	0.999101	+	0.0423945i	$0.0134986\pi$
$181$			1.14072i			0.0847890i	−0.999101	+	0.0423945i	$0.986501\pi$
$182$	14.7165	−	15.4890i	1.09086	−	1.14812i
$183$	0.391832	+	14.2888i	0.0289651	+	1.05626i
$184$	19.5434	+	0.213716i	1.44076	+	0.0157553i
$185$			36.1633i			2.65878i
$186$	−0.257580	−	0.292558i	−0.0188867	−	0.0214514i
$187$	−0.0756038			−0.00552870
$188$	−3.87855	+	21.0959i	−0.282872	+	1.53857i
$189$	13.0286	+	4.38809i	0.947692	+	0.319187i
$190$	−7.28300	+	6.06606i	−0.528364	+	0.440078i
$191$	9.68337			0.700664			0.350332	−	0.936626i	$-0.386069\pi$
$191$	9.68337			0.700664			0.350332	+	0.936626i	$0.386069\pi$
$192$	−6.86155	+	12.0382i	−0.495190	+	0.868785i
$193$	−13.0784			−0.941407			−0.470703	−	0.882292i	$-0.656000\pi$
$193$	−13.0784			−0.941407			−0.470703	+	0.882292i	$0.656000\pi$
$194$	−3.18354	−	18.4477i	−0.228565	−	1.32447i
$195$	1.04046	+	37.9423i	0.0745092	+	2.71711i
$196$	11.7507	−	7.61062i	0.839334	−	0.543615i
$197$	−13.1143			−0.934358			−0.467179	−	0.884163i	$-0.654730\pi$
$197$	−13.1143			−0.934358			−0.467179	+	0.884163i	$0.654730\pi$
$198$	0.294363	−	0.958789i	0.0209194	−	0.0681382i
$199$	−5.40835	−	3.12251i	−0.383388	−	0.221349i	0.295903	−	0.955218i	$-0.404379\pi$
$199$	−5.40835	−	3.12251i	−0.383388	−	0.221349i	−0.679291	+	0.733869i	$0.737713\pi$
$200$	14.0178	−	23.6777i	0.991206	−	1.67427i
$201$	−3.42240	+	0.0938499i	−0.241397	+	0.00661966i
$202$	8.27894	+	3.04751i	0.582504	+	0.214422i
$203$	−2.90214	+	2.16113i	−0.203690	+	0.151682i
$204$	0.694900	−	0.862834i	0.0486527	−	0.0604105i
$205$		−	13.3574i		−	0.932923i
$206$	−27.4611	+	4.73899i	−1.91330	+	0.330181i
$207$	9.36563	−	18.4939i	0.650956	−	1.28542i
$208$	22.5491	−	3.63787i	1.56350	−	0.252241i
$209$	−0.357534	−	0.206422i	−0.0247312	−	0.0142785i
$210$	−5.15586	+	24.3312i	−0.355788	+	1.67902i
$211$	0.576033	+	0.997718i	0.0396557	+	0.0686857i	0.885172	−	0.465264i	$-0.154041\pi$
$211$	0.576033	+	0.997718i	0.0396557	+	0.0686857i	−0.845516	+	0.533950i	$0.820707\pi$
$212$	6.11551	+	5.20796i	0.420015	+	0.357684i
$213$	10.7471	−	0.294710i	0.736379	−	0.0201932i
$214$	3.21402	−	8.73129i	0.219706	−	0.596859i
$215$	9.44634	+	16.3615i	0.644235	+	1.11585i
$216$	8.23667	+	12.1720i	0.560434	+	0.828199i
$217$	−0.166710	+	0.386612i	−0.0113170	+	0.0262449i
$218$	−15.8869	+	2.74162i	−1.07600	+	0.185686i
$219$	11.8808	−	21.9464i	0.802831	−	1.48300i
$220$	1.78458	+	0.328101i	0.120316	+	0.0221206i
$221$	−1.82619			−0.122843
$222$	7.37661	−	21.8711i	0.495086	−	1.46789i
$223$	6.36435	+	3.67446i	0.426188	+	0.246060i	0.697722	−	0.716369i	$-0.254197\pi$
$223$	6.36435	+	3.67446i	0.426188	+	0.246060i	−0.271533	+	0.962429i	$0.587531\pi$
$224$	14.9231	+	1.14050i	0.997092	+	0.0762026i
$225$	−15.9558	−	24.4374i	−1.06372	−	1.62916i
$226$	9.12506	−	24.7894i	0.606990	−	1.64896i
$227$	5.87255	−	3.39052i	0.389775	−	0.225037i	−0.292288	−	0.956330i	$-0.594416\pi$
$227$	5.87255	−	3.39052i	0.389775	−	0.225037i	0.682063	+	0.731294i	$0.261083\pi$
$228$	5.64203	−	2.18309i	0.373653	−	0.144579i
$229$	6.62657	+	3.82585i	0.437896	+	0.252819i	0.702705	−	0.711482i	$-0.251976\pi$
$229$	6.62657	+	3.82585i	0.437896	+	0.252819i	−0.264809	+	0.964301i	$0.585309\pi$
$230$	35.1950	+	12.9554i	2.32069	+	0.854254i
$231$	−1.07212	+	0.155349i	−0.0705405	+	0.0102212i
$232$	−3.86801	−	0.0422984i	−0.253947	−	0.00277702i
$233$	−13.7781	+	7.95478i	−0.902633	+	0.521135i	−0.878053	−	0.478563i	$-0.841158\pi$
$233$	−13.7781	+	7.95478i	−0.902633	+	0.521135i	−0.0245793	+	0.999698i	$0.507825\pi$
$234$	7.11024	−	23.1593i	0.464811	−	1.51397i
$235$	−20.5794	+	35.6446i	−1.34245	+	2.32520i
$236$	−10.9238	−	2.00837i	−0.711077	−	0.130734i
$237$	−0.176320	−	6.42983i	−0.0114532	−	0.417662i
$238$	−1.16340	−	0.280058i	−0.0754120	−	0.0181535i
$239$	−3.72441	−	6.45087i	−0.240912	−	0.417272i	0.720062	−	0.693910i	$-0.244113\pi$
$239$	−3.72441	−	6.45087i	−0.240912	−	0.417272i	−0.960974	+	0.276637i	$0.910780\pi$
$240$	−20.1471	+	17.3510i	−1.30049	+	1.12000i
$241$	7.55354	+	13.0831i	0.486566	+	0.842757i	0.999881	−	0.0154433i	$-0.00491596\pi$
$241$	7.55354	+	13.0831i	0.486566	+	0.842757i	−0.513315	+	0.858200i	$0.671583\pi$
$242$	−2.63203	−	15.2519i	−0.169193	−	0.980428i
$243$	15.4422	−	2.13013i	0.990620	−	0.136648i
$244$	16.2334	+	2.98458i	1.03924	+	0.191068i
$245$	26.1386	−	6.20193i	1.66994	−	0.396227i
$246$	−2.72466	+	8.07840i	−0.173718	+	0.515060i
$247$	−8.63614	−	4.98608i	−0.549504	−	0.317256i
$248$	−0.392229	+	0.220771i	−0.0249066	+	0.0140190i
$249$	−6.68782	−	3.62050i	−0.423824	−	0.229440i
$250$	19.7189	−	16.4240i	1.24714	−	1.03875i
$251$		−	7.84121i		−	0.494933i	−0.968896	−	0.247466i	$-0.920402\pi$
$251$		−	7.84121i		−	0.494933i	0.968896	−	0.247466i	$-0.0795980\pi$
$252$	8.08131	−	13.6635i	0.509075	−	0.860722i
$253$			1.63353i			0.102699i
$254$	13.6504	+	16.3888i	0.856500	+	1.02833i
$255$	1.81122	−	1.11300i	0.113423	−	0.0696987i
$256$	11.9516	+	10.6376i	0.746978	+	0.664849i
$257$	−10.4472	−	6.03170i	−0.651679	−	0.376247i	0.137420	−	0.990513i	$-0.456119\pi$
$257$	−10.4472	−	6.03170i	−0.651679	−	0.376247i	−0.789099	+	0.614266i	$0.789452\pi$
$258$	−2.37559	−	11.8221i	−0.147898	−	0.736014i
$259$	−24.7620	+	2.89743i	−1.53864	+	0.180037i
$260$	43.1060	+	7.92519i	2.67332	+	0.491499i
$261$	−1.85364	+	3.66029i	−0.114737	+	0.226567i
$262$	−20.0718	+	3.46382i	−1.24004	+	0.213995i
$263$	9.72751	+	16.8485i	0.599824	+	1.03893i	0.992847	+	0.119397i	$0.0380961\pi$
$263$	9.72751	+	16.8485i	0.599824	+	1.03893i	−0.393023	+	0.919529i	$0.628571\pi$
$264$	−1.01236	−	0.562451i	−0.0623067	−	0.0346165i
$265$	7.70678	+	13.3485i	0.473424	+	0.819994i
$266$	−4.73713	−	4.50086i	−0.290452	−	0.275965i
$267$	10.2905	−	6.32355i	0.629770	−	0.386995i
$268$	−0.714852	+	3.88816i	−0.0436665	+	0.237507i
$269$	12.4835	−	21.6221i	0.761135	−	1.31832i	−0.181131	−	0.983459i	$-0.557976\pi$
$269$	12.4835	−	21.6221i	0.761135	−	1.31832i	0.942266	−	0.334865i	$-0.108691\pi$
$270$	7.06281	+	27.3029i	0.429829	+	1.66160i
$271$	−10.3609	+	5.98188i	−0.629381	+	0.363373i	−0.780512	−	0.625140i	$-0.785042\pi$
$271$	−10.3609	+	5.98188i	−0.629381	+	0.363373i	0.151131	+	0.988514i	$0.451708\pi$
$272$	−0.807914	−	0.991850i	−0.0489870	−	0.0601397i
$273$	−25.8968	+	3.75240i	−1.56735	+	0.227106i
$274$	1.97224	−	5.35785i	0.119148	−	0.323679i
$275$	1.99167	+	1.14989i	0.120102	+	0.0693412i
$276$	−18.6428	−	15.0144i	−1.12217	−	0.903759i
$277$	−1.92346	+	1.11051i	−0.115570	+	0.0667243i	−0.556671	−	0.830733i	$-0.687921\pi$
$277$	−1.92346	+	1.11051i	−0.115570	+	0.0667243i	0.441101	+	0.897458i	$0.354588\pi$
$278$	14.5671	+	5.36221i	0.873678	+	0.321604i
$279$	0.0261629	+	0.476678i	0.00156633	+	0.0285380i
$280$	26.2459	+	11.6594i	1.56849	+	0.696785i
$281$	2.44849	+	1.41363i	0.146064	+	0.0843303i	0.571251	−	0.820775i	$-0.306458\pi$
$281$	2.44849	+	1.41363i	0.146064	+	0.0843303i	−0.425187	+	0.905106i	$0.639792\pi$
$282$	19.7170	−	17.3596i	1.17413	−	1.03375i
$283$	5.29542			0.314780			0.157390	−	0.987537i	$-0.449692\pi$
$283$	5.29542			0.314780			0.157390	+	0.987537i	$0.449692\pi$
$284$	2.24480	−	12.2097i	0.133204	−	0.724513i
$285$	11.6042	−	0.318214i	0.687374	−	0.0188494i
$286$	0.324643	+	1.88121i	0.0191965	+	0.111238i
$287$	9.14621	−	1.07021i	0.539884	−	0.0631723i
$288$	15.7240	−	6.38401i	0.926546	−	0.376182i
$289$	−8.44886	−	14.6339i	−0.496992	−	0.860815i
$290$	−6.96575	−	2.56412i	−0.409043	−	0.150570i
$291$	−10.9153	+	20.1628i	−0.639864	+	1.18196i
$292$	−21.9392	−	18.6834i	−1.28389	−	1.09336i
$293$	7.88099	+	13.6503i	0.460412	+	0.797457i	0.998981	−	0.0451238i	$-0.0143682\pi$
$293$	7.88099	+	13.6503i	0.460412	+	0.797457i	−0.538569	+	0.842581i	$0.681035\pi$
$294$	−17.0734	−	1.58093i	−0.995740	−	0.0922015i
$295$	−18.4574	−	10.6564i	−1.07463	−	0.620437i
$296$	−22.9345	−	13.5777i	−1.33304	−	0.789191i
$297$	−1.00974	+	0.699503i	−0.0585913	+	0.0405893i
$298$	−4.57159	−	26.4911i	−0.264825	−	1.53459i
$299$			39.4576i			2.28189i
$300$	−31.4294	+	12.1611i	−1.81458	+	0.702120i
$301$	−10.4464	+	7.77908i	−0.602118	+	0.448378i
$302$	3.96739	−	10.7779i	0.228298	−	0.620200i
$303$	−5.65684	−	9.20557i	−0.324977	−	0.528846i
$304$	−1.11260	−	6.89637i	−0.0638120	−	0.395534i
$305$	27.4289	+	15.8361i	1.57057	+	0.906770i
$306$	−1.32244	+	0.303673i	−0.0755986	+	0.0173599i
$307$	11.7716			0.671842			0.335921	−	0.941890i	$-0.390953\pi$
$307$	11.7716			0.671842			0.335921	+	0.941890i	$0.390953\pi$
$308$	−0.0816782	+	1.24824i	−0.00465404	+	0.0711250i
$309$	30.0141	+	16.2483i	1.70744	+	0.924336i
$310$	−0.851094	+	0.146874i	−0.0483389	+	0.00834189i
$311$	27.3549			1.55115			0.775577	−	0.631253i	$-0.217459\pi$
$311$	27.3549			1.55115			0.775577	+	0.631253i	$0.217459\pi$
$312$	−24.4534	−	13.5859i	−1.38440	−	0.769147i
$313$	13.6665			0.772478			0.386239	−	0.922399i	$-0.373774\pi$
$313$	13.6665			0.772478			0.386239	+	0.922399i	$0.373774\pi$
$314$	3.97346	+	4.77059i	0.224235	+	0.269220i
$315$	23.3976	−	19.5049i	1.31831	−	1.09897i
$316$	−7.30488	−	1.34303i	−0.410932	−	0.0755512i
$317$	8.80296			0.494423			0.247212	−	0.968961i	$-0.420486\pi$
$317$	8.80296			0.494423			0.247212	+	0.968961i	$0.420486\pi$
$318$	−1.93812	−	9.64506i	−0.108684	−	0.540868i
$319$		−	0.323307i		−	0.0181017i
$320$	14.7659	+	26.9181i	0.825440	+	1.50477i
$321$	−9.70855	+	5.96592i	−0.541878	+	0.332985i
$322$	−6.05108	+	25.1370i	−0.337214	+	1.40083i
$323$			0.558518i			0.0310768i
$324$	1.29778	−	17.9532i	0.0720987	−	0.997398i
$325$	48.1083	+	27.7754i	2.66857	+	1.54070i
$326$	15.4328	+	5.68088i	0.854745	+	0.314635i
$327$	17.3639	+	9.40006i	0.960225	+	0.519824i
$328$	8.47118	+	5.01514i	0.467743	+	0.276915i
$329$	−26.0557	−	11.2355i	−1.43650	−	0.619430i
$330$	−1.46852	−	1.66794i	−0.0808392	−	0.0918169i
$331$	23.3501			1.28344			0.641718	−	0.766941i	$-0.278222\pi$
$331$	23.3501			1.28344			0.641718	+	0.766941i	$0.278222\pi$
$332$	−5.69348	+	6.68563i	−0.312470	+	0.366922i
$333$	−23.6703	+	15.4550i	−1.29712	+	0.846927i
$334$	−3.20487	−	1.17973i	−0.175363	−	0.0645517i
$335$	−3.79298	+	6.56964i	−0.207233	+	0.358938i
$336$	−13.4949	−	12.4051i	−0.736207	−	0.676756i
$337$	10.1548	+	17.5886i	0.553168	+	0.958114i	0.998044	+	0.0625222i	$0.0199144\pi$
$337$	10.1548	+	17.5886i	0.553168	+	0.958114i	−0.444876	+	0.895592i	$0.646752\pi$
$338$	4.71519	+	27.3232i	0.256473	+	1.48619i
$339$	−27.5639	+	16.9381i	−1.49707	+	0.919951i
$340$	−0.822731	−	2.31276i	−0.0446188	−	0.125427i
$341$	−0.0188094	−	0.0325788i	−0.00101858	−	0.00176424i
$342$	−7.08299	−	2.17458i	−0.383004	−	0.117588i
$343$	6.34088	+	17.4010i	0.342376	+	0.939563i
$344$	−13.9231	−	0.152255i	−0.750681	−	0.00820902i
$345$	−24.0480	−	39.1342i	−1.29470	−	2.10691i
$346$	−0.0478873	+	0.0398856i	−0.00257444	+	0.00214427i
$347$		−	27.2170i		−	1.46109i	−0.682867	−	0.730543i	$-0.739267\pi$
$347$		−	27.2170i		−	1.46109i	0.682867	−	0.730543i	$-0.260733\pi$
$348$	3.68977	+	2.97163i	0.197792	+	0.159296i
$349$	−23.3711	−	13.4933i	−1.25103	−	0.722282i	−0.279715	−	0.960083i	$-0.590240\pi$
$349$	−23.3711	−	13.4933i	−1.25103	−	0.722282i	−0.971314	+	0.237801i	$0.923573\pi$
$350$	26.3886	+	25.0724i	1.41053	+	1.34018i
$351$	−24.3901	+	16.8963i	−1.30185	+	0.901857i
$352$	−0.878112	+	1.00858i	−0.0468035	+	0.0537574i
$353$	−0.422450	+	0.243901i	−0.0224847	+	0.0129816i	−0.511200	−	0.859462i	$-0.670799\pi$
$353$	−0.422450	+	0.243901i	−0.0224847	+	0.0129816i	0.488716	+	0.872443i	$0.337466\pi$
$354$	8.98909	+	10.2098i	0.477765	+	0.542644i
$355$	11.9108	−	20.6301i	0.632161	−	1.09493i
$356$	−4.67438	−	13.1400i	−0.247742	−	0.696419i
$357$	0.907219	+	1.15102i	0.0480151	+	0.0609185i
$358$	13.0880	−	2.25862i	0.691725	−	0.119372i
$359$	−10.2195	−	17.7007i	−0.539364	−	0.934206i	−0.998938	−	0.0460670i	$-0.985331\pi$
$359$	−10.2195	−	17.7007i	−0.539364	−	0.934206i	0.459574	−	0.888139i	$-0.348002\pi$
$360$	32.5331	−	1.42898i	1.71464	−	0.0753141i
$361$	7.97507	−	13.8132i	0.419740	−	0.727012i
$362$	−1.03245	−	1.23957i	−0.0542642	−	0.0651503i
$363$	−9.02432	+	16.6698i	−0.473654	+	0.874938i
$364$	−1.97291	+	30.1509i	−0.103409	+	1.58034i
$365$	−27.6478	−	47.8873i	−1.44715	−	2.50654i
$366$	−13.3584	−	15.1724i	−0.698254	−	0.793075i
$367$	−28.5478	+	16.4821i	−1.49018	+	0.860358i	−0.999937	−	0.0112262i	$-0.996427\pi$
$367$	−28.5478	+	16.4821i	−1.49018	+	0.860358i	−0.490246	+	0.871584i	$0.663093\pi$
$368$	−21.4304	+	17.4562i	−1.11714	+	0.909968i
$369$	8.74297	−	5.70851i	0.455141	−	0.297173i
$370$	−32.7308	−	39.2970i	−1.70159	−	2.04296i
$371$	−8.52265	+	6.34655i	−0.442474	+	0.329496i
$372$	0.544691	+	0.0847792i	0.0282409	+	0.00439560i
$373$	−1.02748	−	0.593214i	−0.0532007	−	0.0307155i	0.473164	−	0.880975i	$-0.343112\pi$
$373$	−1.02748	−	0.593214i	−0.0532007	−	0.0307155i	−0.526364	+	0.850259i	$0.676445\pi$
$374$	0.0821554	−	0.0684278i	0.00424815	−	0.00353832i
$375$	−31.4187	+	0.861573i	−1.62246	+	0.0444914i
$376$	−14.8789	−	26.4344i	−0.767319	−	1.36325i
$377$		−	7.80940i		−	0.402204i
$378$	−18.1292	+	7.02364i	−0.932466	+	0.361257i
$379$	10.4884			0.538751			0.269376	−	0.963035i	$-0.413183\pi$
$379$	10.4884			0.538751			0.269376	+	0.963035i	$0.413183\pi$
$380$	2.42382	−	13.1835i	0.124340	−	0.676297i
$381$	−0.716071	−	26.1128i	−0.0366854	−	1.33780i
$382$	−10.5225	+	8.76426i	−0.538378	+	0.448419i
$383$	−5.34464	+	9.25719i	−0.273098	+	0.473020i	−0.969654	−	0.244483i	$-0.921382\pi$
$383$	−5.34464	+	9.25719i	−0.273098	+	0.473020i	0.696555	+	0.717503i	$0.254715\pi$
$384$	−3.43946	−	19.2917i	−0.175519	−	0.984476i
$385$	−0.950449	+	2.20415i	−0.0484394	+	0.112334i
$386$	14.2118	−	11.8371i	0.723360	−	0.602492i
$387$	−6.67223	+	13.1754i	−0.339169	+	0.669742i
$388$	20.1562	+	17.1650i	1.02327	+	0.871420i
$389$	−17.4518	−	30.2274i	−0.884840	−	1.53259i	−0.845897	−	0.533347i	$-0.820934\pi$
$389$	−17.4518	−	30.2274i	−0.884840	−	1.53259i	−0.0389436	−	0.999241i	$-0.512399\pi$
$390$	−35.4716	−	40.2886i	−1.79617	−	2.04009i
$391$	1.91386	−	1.10497i	0.0967878	−	0.0558805i
$392$	−5.88071	+	18.9055i	−0.297021	+	0.954871i
$393$	21.9379	+	11.8762i	1.10662	+	0.599076i
$394$	14.2508	−	11.8696i	0.717944	−	0.597981i
$395$	−12.3427	−	7.12606i	−0.621029	−	0.358551i
$396$	0.547914	+	1.30830i	0.0275337	+	0.0657444i
$397$	6.99124	−	4.03640i	0.350880	−	0.202581i	−0.314193	−	0.949359i	$-0.601734\pi$
$397$	6.99124	−	4.03640i	0.350880	−	0.202581i	0.665073	+	0.746778i	$0.268400\pi$
$398$	8.70316	−	1.50191i	0.436250	−	0.0752841i
$399$	1.14763	+	7.92023i	0.0574533	+	0.396508i
$400$	6.19783	+	38.4168i	0.309892	+	1.92084i
$401$	−16.3128	−	9.41823i	−0.814625	−	0.470324i	0.0339346	−	0.999424i	$-0.489196\pi$
$401$	−16.3128	−	9.41823i	−0.814625	−	0.470324i	−0.848559	+	0.529100i	$0.822530\pi$
$402$	3.63403	−	3.19954i	0.181249	−	0.159579i
$403$	−0.454335	−	0.786931i	−0.0226320	−	0.0391998i
$404$	−11.7546	+	4.18154i	−0.584814	+	0.208040i
$405$	13.8925	−	31.6227i	0.690324	−	1.57135i
$406$	1.19762	−	4.97509i	0.0594370	−	0.246909i
$407$	1.11380	−	1.92915i	0.0552089	−	0.0956247i
$408$	0.0258197	+	1.56655i	0.00127826	+	0.0775557i
$409$	−17.6357			−0.872027			−0.436013	−	0.899940i	$-0.643610\pi$
$409$	−17.6357			−0.872027			−0.436013	+	0.899940i	$0.643610\pi$
$410$	12.0896	+	14.5149i	0.597062	+	0.716841i
$411$	−5.95753	+	3.66091i	−0.293863	+	0.180579i
$412$	25.5516	−	30.0042i	1.25884	−	1.47820i
$413$	5.81789	−	13.4921i	0.286280	−	0.663902i
$414$	6.56132	+	28.5732i	0.322471	+	1.40430i
$415$	−14.5929	+	8.42524i	−0.716340	+	0.413579i
$416$	−21.2105	+	24.3619i	−1.03993	+	1.19444i
$417$	−9.95343	−	16.1976i	−0.487421	−	0.793198i
$418$	0.575347	−	0.0992882i	0.0281411	−	0.00485634i
$419$	−17.3523	+	10.0184i	−0.847715	+	0.489428i	−0.859879	−	0.510498i	$-0.829461\pi$
$419$	−17.3523	+	10.0184i	−0.847715	+	0.489428i	0.0121643	+	0.999926i	$0.496128\pi$
$420$	−16.4192	−	31.1062i	−0.801174	−	1.51783i
$421$	−2.61797	−	1.51149i	−0.127592	−	0.0736654i	0.434845	−	0.900505i	$-0.356803\pi$
$421$	−2.61797	−	1.51149i	−0.127592	−	0.0736654i	−0.562438	+	0.826840i	$0.690136\pi$
$422$	−1.52897	−	0.562819i	−0.0744290	−	0.0273976i
$423$	−32.1258	+	1.76325i	−1.56201	+	0.0857322i
$424$	−11.3591	−	0.124217i	−0.551647	−	0.00603250i
$425$		−	3.11127i		−	0.150919i
$426$	−11.4117	+	10.0473i	−0.552897	+	0.486792i
$427$	−8.64578	+	20.0501i	−0.418399	+	0.970293i
$428$	4.41002	+	12.3969i	0.213166	+	0.599225i
$429$	1.11309	−	2.05611i	0.0537404	−	0.0992697i
$430$	−25.0735	−	9.22964i	−1.20915	−	0.445093i
$431$	1.25094	−	2.16670i	0.0602558	−	0.104366i	−0.834324	−	0.551275i	$-0.814142\pi$
$431$	1.25094	−	2.16670i	0.0602558	−	0.104366i	0.894580	+	0.446908i	$0.147475\pi$
$432$	−19.9671	−	5.77190i	−0.960668	−	0.277701i
$433$	22.3299			1.07311			0.536554	−	0.843866i	$-0.319726\pi$
$433$	22.3299			1.07311			0.536554	+	0.843866i	$0.319726\pi$
$434$	−0.168759	−	0.571001i	−0.00810070	−	0.0274089i
$435$	4.75956	+	7.74540i	0.228203	+	0.371363i
$436$	14.7822	−	17.3582i	0.707940	−	0.831306i
$437$	12.0676			0.577273
$438$	6.95293	+	34.6013i	0.332224	+	1.65331i
$439$		−	26.0254i		−	1.24212i	−0.783761	−	0.621062i	$-0.786701\pi$
$439$		−	26.0254i		−	1.24212i	0.783761	−	0.621062i	$-0.213299\pi$
$440$	−2.23618	+	1.25866i	−0.106606	+	0.0600043i
$441$	15.2302	+	14.4583i	0.725246	+	0.688489i
$442$	1.98444	−	1.65285i	0.0943902	−	0.0786183i
$443$			15.1287i			0.718785i	0.933187	+	0.359392i	$0.117016\pi$
$443$			15.1287i			0.718785i	−0.933187	+	0.359392i	$0.882984\pi$
$444$	11.7793	+	30.4428i	0.559022	+	1.44475i
$445$		−	26.7620i		−	1.26864i
$446$	−10.2416	+	1.76740i	−0.484952	+	0.0836887i
$447$	−15.6744	+	28.9539i	−0.741373	+	1.36947i
$448$	−17.2485	+	12.2673i	−0.814917	+	0.579578i
$449$		−	22.8606i		−	1.07886i	−0.842031	−	0.539429i	$-0.818640\pi$
$449$		−	22.8606i		−	1.07886i	0.842031	−	0.539429i	$-0.181360\pi$
$450$	39.4564	+	12.1137i	1.85999	+	0.571046i
$451$	−0.411397	+	0.712561i	−0.0193719	+	0.0335532i
$452$	12.5207	+	35.1965i	0.588923	+	1.65550i
$453$	−11.9843	+	7.36434i	−0.563069	+	0.346007i
$454$	−3.31274	+	8.99948i	−0.155475	+	0.422367i
$455$	−22.9578	+	53.2407i	−1.07628	+	2.49596i
$456$	−4.15507	+	7.47878i	−0.194579	+	0.350226i
$457$	21.2244			0.992837			0.496419	−	0.868083i	$-0.334648\pi$
$457$	21.2244			0.992837			0.496419	+	0.868083i	$0.334648\pi$
$458$	−10.6635	+	1.84021i	−0.498274	+	0.0859876i
$459$	1.50256	+	0.709859i	0.0701334	+	0.0331334i
$460$	−49.9706	+	17.7763i	−2.32989	+	0.828826i
$461$	1.80274	−	3.12244i	0.0839620	−	0.145426i	−0.820986	−	0.570948i	$-0.806576\pi$
$461$	1.80274	−	3.12244i	0.0839620	−	0.145426i	0.904948	+	0.425521i	$0.139909\pi$
$462$	1.02443	−	1.13917i	0.0476606	−	0.0529991i
$463$	27.0323	−	15.6071i	1.25630	−	0.725323i	0.283944	−	0.958841i	$-0.408357\pi$
$463$	27.0323	−	15.6071i	1.25630	−	0.725323i	0.972353	+	0.233518i	$0.0750237\pi$
$464$	4.24149	−	3.45491i	0.196906	−	0.160390i
$465$	0.930218	+	0.503580i	0.0431378	+	0.0233530i
$466$	7.77230	−	21.1144i	0.360045	−	0.978108i
$467$	11.3890	−	6.57546i	0.527022	−	0.304276i	−0.212781	−	0.977100i	$-0.568252\pi$
$467$	11.3890	−	6.57546i	0.527022	−	0.304276i	0.739803	+	0.672824i	$0.234919\pi$
$468$	13.2347	+	31.6016i	0.611774	+	1.46078i
$469$	−4.80231	−	2.07080i	−0.221750	−	0.0956206i
$470$	−9.89861	−	57.3596i	−0.456589	−	2.64580i
$471$	−0.208440	−	7.60112i	−0.00960441	−	0.350241i
$472$	13.6881	−	7.70452i	0.630047	−	0.354629i
$473$		−	1.16376i		−	0.0535096i
$474$	6.01113	+	6.82743i	0.276100	+	0.313594i
$475$	8.49477	−	14.7134i	0.389767	−	0.675096i
$476$	1.51769	−	0.748647i	0.0695633	−	0.0343142i
$477$	−5.44353	+	10.7491i	−0.249242	+	0.492168i
$478$	9.88574	+	3.63898i	0.452163	+	0.166443i
$479$	−9.69940	−	16.7999i	−0.443177	−	0.767605i	0.554746	−	0.832019i	$-0.312815\pi$
$479$	−9.69940	−	16.7999i	−0.443177	−	0.767605i	−0.997923	+	0.0644147i	$0.979482\pi$
$480$	6.18895	−	37.0894i	0.282486	−	1.69289i
$481$	26.9035	−	46.5982i	1.22669	−	2.12470i
$482$	−20.0494	−	7.38026i	−0.913226	−	0.336162i
$483$	24.8696	−	19.6018i	1.13160	−	0.891914i
$484$	16.6643	+	14.1913i	0.757470	+	0.645061i
$485$	25.4008	+	43.9955i	1.15339	+	1.99773i
$486$	−14.8525	+	16.2912i	−0.673721	+	0.738986i
$487$	−5.00945	−	2.89221i	−0.227000	−	0.131058i	0.382187	−	0.924085i	$-0.375171\pi$
$487$	−5.00945	−	2.89221i	−0.227000	−	0.131058i	−0.609187	+	0.793026i	$0.708504\pi$
$488$	−20.3415	+	11.4494i	−0.920815	+	0.518291i
$489$	−10.5449	−	17.1602i	−0.476859	−	0.776009i
$490$	−22.7904	+	30.3970i	−1.02957	+	1.37320i
$491$	13.0323	−	7.52420i	0.588140	−	0.339563i	−0.176222	−	0.984350i	$-0.556388\pi$
$491$	13.0323	−	7.52420i	0.588140	−	0.339563i	0.764362	+	0.644788i	$0.223054\pi$
$492$	−4.35087	−	11.2445i	−0.196152	−	0.506941i
$493$	−0.378788	+	0.218693i	−0.0170598	+	0.00984946i
$494$	13.8973	−	2.39828i	0.625271	−	0.107904i
$495$	0.149160	+	2.71764i	0.00670425	+	0.122149i
$496$	0.226403	−	0.594903i	0.0101658	−	0.0267119i
$497$	15.0804	+	6.50277i	0.676446	+	0.291689i
$498$	10.5442	−	2.11880i	0.472498	−	0.0949458i
$499$	−6.16663	+	10.6809i	−0.276056	+	0.478143i	−0.970401	−	0.241499i	$-0.922361\pi$
$499$	−6.16663	+	10.6809i	−0.276056	+	0.478143i	0.694345	+	0.719642i	$0.255694\pi$
$500$	−6.56258	+	35.6946i	−0.293487	+	1.59631i
$501$	2.18983	+	3.56358i	0.0978342	+	0.159209i
$502$	7.09696	+	8.52071i	0.316753	+	0.380298i
$503$	37.8747			1.68875			0.844376	−	0.535752i	$-0.179972\pi$
$503$	37.8747			1.68875			0.844376	+	0.535752i	$0.179972\pi$
$504$	3.58504	+	22.1618i	0.159691	+	0.987167i
$505$	−23.9404			−1.06533
$506$	−1.47849	−	1.77509i	−0.0657267	−	0.0789124i
$507$	16.1667	−	29.8634i	0.717990	−	1.32628i
$508$	−29.6665	−	5.45429i	−1.31624	−	0.241995i
$509$	−14.0079	+	24.2623i	−0.620887	+	1.07541i	0.368434	+	0.929654i	$0.379894\pi$
$509$	−14.0079	+	24.2623i	−0.620887	+	1.07541i	−0.989321	+	0.145754i	$0.953439\pi$
$510$	−0.960819	+	2.84876i	−0.0425458	+	0.126145i
$511$	30.5747	−	22.7680i	1.35254	−	1.00720i
$512$	−22.6152	−	0.742159i	−0.999462	−	0.0327991i
$513$	5.16753	+	7.45942i	0.228152	+	0.329342i
$514$	16.8117	−	2.90122i	0.741534	−	0.127967i
$515$	65.4913	−	37.8114i	2.88589	−	1.66617i
$516$	13.2815	+	10.6965i	0.584684	+	0.470887i
$517$	2.19565	−	1.26766i	0.0965646	−	0.0557516i
$518$	24.2854	−	25.5602i	1.06704	−	1.12305i
$519$	0.0763001	−	0.00209232i	0.00334920	−	9.18428e-5i
$520$	−54.0144	+	30.4026i	−2.36869	+	1.33324i
$521$	−11.6603	−	6.73205i	−0.510845	−	0.294937i	0.222336	−	0.974970i	$-0.428632\pi$
$521$	−11.6603	−	6.73205i	−0.510845	−	0.294937i	−0.733181	+	0.680034i	$0.761965\pi$
$522$	−1.29861	−	5.65518i	−0.0568386	−	0.247520i
$523$	13.6773	+	23.6897i	0.598065	+	1.03588i	0.993107	+	0.117215i	$0.0373968\pi$
$523$	13.6773	+	23.6897i	0.598065	+	1.03588i	−0.395042	+	0.918663i	$0.629270\pi$
$524$	18.6761	−	21.9307i	0.815871	−	0.958046i
$525$	−6.39296	−	44.1203i	−0.279012	−	1.92557i
$526$	−25.8198	−	9.50437i	−1.12580	−	0.414410i
$527$	−0.0254463	+	0.0440742i	−0.00110846	+	0.00191990i
$528$	1.60916	−	0.305084i	0.0700296	−	0.0132771i
$529$	−12.3744	−	21.4332i	−0.538019	−	0.931877i
$530$	−20.4562	−	7.52999i	−0.888559	−	0.327082i
$531$	−0.913039	−	16.6352i	−0.0396225	−	0.721908i
$532$	9.22129	+	0.603392i	0.399793	+	0.0261604i
$533$	−9.93719	+	17.2117i	−0.430428	+	0.745522i
$534$	−5.45893	+	16.1853i	−0.236231	+	0.700408i
$535$			25.2484i			1.09159i
$536$	−2.74231	−	4.87210i	−0.118450	−	0.210443i
$537$	−14.3048	−	7.74402i	−0.617299	−	0.334179i
$538$	6.00452	+	34.7945i	0.258873	+	1.50010i
$539$	−1.58540	−	0.474201i	−0.0682879	−	0.0204253i
$540$	−32.3863	−	23.2765i	−1.39368	−	1.00166i
$541$	14.2361	−	8.21922i	0.612058	−	0.353372i	−0.161712	−	0.986838i	$-0.551702\pi$
$541$	14.2361	−	8.21922i	0.612058	−	0.353372i	0.773770	+	0.633466i	$0.218368\pi$
$542$	5.84466	−	15.8778i	0.251050	−	0.682008i
$543$	0.0541601	+	1.97504i	0.00232423	+	0.0847571i
$544$	1.77563	+	0.346570i	0.0761296	+	0.0148591i
$545$	37.8883	−	21.8748i	1.62296	−	0.937014i
$546$	24.7447	−	27.5164i	1.05898	−	1.17759i
$547$	−4.39298	+	7.60886i	−0.187830	+	0.325331i	−0.944527	−	0.328435i	$-0.893479\pi$
$547$	−4.39298	+	7.60886i	−0.187830	+	0.325331i	0.756696	+	0.653766i	$0.226812\pi$
$548$	2.70615	+	7.60718i	0.115601	+	0.324963i
$549$	1.35684	+	24.7211i	0.0579084	+	1.05507i
$550$	−3.20502	+	0.553093i	−0.136662	+	0.0235840i
$551$	−2.38841			−0.101750
$552$	33.8476	−	0.557873i	1.44065	−	0.0237447i
$553$	3.89051	−	9.02234i	0.165441	−	0.383669i
$554$	1.08504	−	2.94764i	0.0460989	−	0.125233i
$555$	1.71699	+	62.6131i	0.0728823	+	2.65778i
$556$	−20.6827	+	7.35759i	−0.877143	+	0.312031i
$557$	−13.2927	+	23.0236i	−0.563228	+	0.975540i	0.433984	+	0.900921i	$0.357107\pi$
$557$	−13.2927	+	23.0236i	−0.563228	+	0.975540i	−0.997212	+	0.0746191i	$0.976226\pi$
$558$	−0.459864	−	0.494306i	−0.0194676	−	0.0209256i
$559$		−	28.1102i		−	1.18894i
$560$	−39.0731	+	11.0849i	−1.65114	+	0.468424i
$561$	−0.130900	+	0.00358959i	−0.00552662	+	0.000151552i
$562$	−3.94012	+	0.679951i	−0.166204	+	0.0286820i
$563$		−	20.2168i		−	0.852038i	−0.904714	−	0.426019i	$-0.859916\pi$
$563$		−	20.2168i		−	0.852038i	0.904714	−	0.426019i	$-0.140084\pi$
$564$	−5.71370	+	36.7095i	−0.240590	+	1.54575i
$565$			71.6839i			3.01577i
$566$	−5.75430	+	4.79280i	−0.241871	+	0.201456i
$567$	22.7661	+	6.97896i	0.956085	+	0.293089i
$568$	8.61149	+	15.2995i	0.361330	+	0.641952i
$569$		−	20.0794i		−	0.841773i	−0.907113	−	0.420886i	$-0.861719\pi$
$569$		−	20.0794i		−	0.841773i	0.907113	−	0.420886i	$-0.138281\pi$
$570$	−12.3218	+	10.8486i	−0.516102	+	0.454397i
$571$	38.2763			1.60182			0.800908	−	0.598788i	$-0.204351\pi$
$571$	38.2763			1.60182			0.800908	+	0.598788i	$0.204351\pi$
$572$	−2.05543	−	1.75040i	−0.0859419	−	0.0731880i
$573$	16.7658	−	0.459756i	0.700401	−	0.0192066i
$574$	−8.97016	+	9.44104i	−0.374407	+	0.394061i
$575$	−67.2237			−2.80342
$576$	−11.3085	+	21.1688i	−0.471189	+	0.882032i
$577$	13.8651	−	24.0150i	0.577210	−	0.999757i	−0.418588	−	0.908176i	$-0.637475\pi$
$577$	13.8651	−	24.0150i	0.577210	−	0.999757i	0.995798	−	0.0915804i	$-0.0291919\pi$
$578$	22.4259	+	8.25505i	0.932794	+	0.343365i
$579$	−22.6440	+	0.620950i	−0.941053	+	0.0258058i
$580$	9.89012	−	3.51827i	0.410665	−	0.146088i
$581$	−6.93820	−	9.31717i	−0.287845	−	0.386541i
$582$	−6.38787	−	31.7892i	−0.264786	−	1.31771i
$583$		−	0.949449i		−	0.0393222i
$584$	40.7504	+	0.445623i	1.68626	+	0.0184400i
$585$	3.60292	+	65.6439i	0.148962	+	2.71404i
$586$	−20.9186	−	7.70020i	−0.864138	−	0.318092i
$587$	3.66211	+	2.11432i	0.151152	+	0.0872674i	0.573668	−	0.819088i	$-0.305520\pi$
$587$	3.66211	+	2.11432i	0.151152	+	0.0872674i	−0.422517	+	0.906355i	$0.638853\pi$
$588$	19.9838	−	13.7349i	0.824117	−	0.566419i
$589$	−0.240673	+	0.138953i	−0.00991678	+	0.00572545i
$590$	29.7017	−	5.12566i	1.22280	−	0.211020i
$591$	−22.7062	+	0.622655i	−0.934007	+	0.0256126i
$592$	37.2109	−	6.00328i	1.52936	−	0.246733i
$593$	−19.7684	+	11.4133i	−0.811792	+	0.468688i	−0.847578	−	0.530671i	$-0.821940\pi$
$593$	−19.7684	+	11.4133i	−0.811792	+	0.468688i	0.0357861	+	0.999359i	$0.488607\pi$
$594$	0.464137	−	1.67402i	0.0190438	−	0.0686860i
$595$	3.22530	−	0.377396i	0.132225	−	0.0154717i
$596$	28.9444	+	24.6490i	1.18561	+	1.00966i
$597$	−9.51227	−	5.14954i	−0.389311	−	0.210756i
$598$	−35.7124	−	42.8768i	−1.46039	−	1.75336i
$599$	18.3288			0.748893			0.374446	−	0.927249i	$-0.377833\pi$
$599$	18.3288			0.748893			0.374446	+	0.927249i	$0.377833\pi$
$600$	23.1462	−	41.6612i	0.944939	−	1.70081i
$601$	−2.65539	+	4.59927i	−0.108316	+	0.187608i	−0.915088	−	0.403254i	$-0.867879\pi$
$601$	−2.65539	+	4.59927i	−0.108316	+	0.187608i	0.806772	+	0.590862i	$0.201212\pi$
$602$	4.31089	−	17.9080i	0.175699	−	0.729876i
$603$	−5.92108	+	0.324983i	−0.241125	+	0.0132343i
$604$	5.44374	+	15.3027i	0.221502	+	0.622659i
$605$	21.0004	+	36.3738i	0.853789	+	1.47881i
$606$	14.4789	+	4.88338i	0.588163	+	0.198374i
$607$	17.0396	+	9.83780i	0.691615	+	0.399304i	0.804217	−	0.594336i	$-0.202585\pi$
$607$	17.0396	+	9.83780i	0.691615	+	0.399304i	−0.112602	+	0.993640i	$0.535918\pi$
$608$	7.45081	+	6.48699i	0.302170	+	0.263082i
$609$	−4.92215	+	3.87957i	−0.199456	+	0.157208i
$610$	−44.1387	+	7.61707i	−1.78712	+	0.308406i
$611$	53.0353	−	30.6199i	2.14558	−	1.23875i
$612$	1.16218	−	1.52690i	0.0469785	−	0.0617214i
$613$	−25.3690	−	14.6468i	−1.02464	−	0.591578i	−0.109197	−	0.994020i	$-0.534828\pi$
$613$	−25.3690	−	14.6468i	−1.02464	−	0.591578i	−0.915445	+	0.402442i	$0.868161\pi$
$614$	−12.7917	+	10.6543i	−0.516231	+	0.429973i
$615$	−0.634196	−	23.1270i	−0.0255733	−	0.932572i
$616$	−1.04101	−	1.43033i	−0.0419433	−	0.0576298i
$617$	−38.0420	+	21.9636i	−1.53151	+	0.884220i	−0.532222	+	0.846605i	$0.678643\pi$
$617$	−38.0420	+	21.9636i	−1.53151	+	0.884220i	−0.999292	+	0.0376155i	$0.988024\pi$
$618$	−47.3211	+	9.50891i	−1.90353	+	0.382504i
$619$	18.8896	+	32.7177i	0.759236	+	1.31504i	0.943241	+	0.332110i	$0.107760\pi$
$619$	18.8896	+	32.7177i	0.759236	+	1.31504i	−0.184005	+	0.982925i	$0.558906\pi$
$620$	0.791913	−	0.929913i	0.0318040	−	0.0373462i
$621$	15.3376	−	32.4650i	0.615476	−	1.30278i
$622$	−29.7254	+	24.7585i	−1.19188	+	0.992725i
$623$	18.3247	−	2.14419i	0.734164	−	0.0859053i
$624$	38.8688	−	7.36922i	1.55600	−	0.295005i
$625$	−10.4998	+	18.1862i	−0.419993	+	0.727450i
$626$	−14.8508	+	12.3694i	−0.593558	+	0.494379i
$627$	−0.628835	−	0.340424i	−0.0251133	−	0.0135952i
$628$	−8.63558	−	1.58768i	−0.344597	−	0.0633554i
$629$	−3.01361			−0.120160
$630$	−7.77164	+	42.3719i	−0.309630	+	1.68814i
$631$		−	1.78237i		−	0.0709548i	−0.999370	−	0.0354774i	$-0.988705\pi$
$631$		−	1.78237i		−	0.0709548i	0.999370	−	0.0354774i	$-0.0112952\pi$
$632$	9.15345	−	5.15212i	0.364105	−	0.204940i
$633$	1.04471	+	1.70010i	0.0415236	+	0.0675729i
$634$	−9.56579	+	7.96742i	−0.379906	+	0.316427i
$635$	−50.1261	−	28.9403i	−1.98919	−	1.14846i
$636$	10.8357	+	8.72671i	0.429662	+	0.346037i
$637$	−38.2948	−	11.4542i	−1.51730	−	0.453832i
$638$	0.292620	+	0.351324i	0.0115849	+	0.0139090i
$639$	18.5935	−	1.02052i	0.735549	−	0.0403712i
$640$	−40.4086	−	15.8864i	−1.59729	−	0.627963i
$641$	2.86297	−	1.65293i	0.113080	−	0.0652870i	−0.442393	−	0.896821i	$-0.645870\pi$
$641$	2.86297	−	1.65293i	0.113080	−	0.0652870i	0.555473	+	0.831534i	$0.312537\pi$
$642$	5.15020	−	15.2700i	0.203262	−	0.602657i
$643$	−17.5136	−	30.3345i	−0.690671	−	1.19628i	−0.971618	−	0.236554i	$-0.923982\pi$
$643$	−17.5136	−	30.3345i	−0.690671	−	1.19628i	0.280948	−	0.959723i	$-0.409351\pi$
$644$	−16.1757	−	32.7920i	−0.637410	−	1.29219i
$645$	17.1322	+	27.8799i	0.674580	+	1.09777i
$646$	−0.505506	−	0.606917i	−0.0198889	−	0.0238788i
$647$	20.8211	−	36.0631i	0.818560	−	1.41779i	−0.0881823	−	0.996104i	$-0.528106\pi$
$647$	20.8211	−	36.0631i	0.818560	−	1.41779i	0.906743	−	0.421684i	$-0.138561\pi$
$648$	14.8389	+	20.6835i	0.582926	+	0.812525i
$649$	0.656414	+	1.13694i	0.0257665	+	0.0446289i
$650$	−77.4163	+	13.3598i	−3.03652	+	0.524015i
$651$	−0.270286	+	0.677294i	−0.0105933	+	0.0265453i
$652$	−21.9119	+	7.79484i	−0.858135	+	0.305270i
$653$	1.62942	−	2.82223i	0.0637639	−	0.110442i	−0.832381	−	0.554204i	$-0.813023\pi$
$653$	1.62942	−	2.82223i	0.0637639	−	0.110442i	0.896145	+	0.443761i	$0.146356\pi$
$654$	−27.3764	+	5.50113i	−1.07050	+	0.215111i
$655$	47.8688	−	27.6371i	1.87039	−	1.07987i
$656$	−13.7444	+	2.21740i	−0.536628	+	0.0865748i
$657$	19.5285	−	38.5620i	0.761878	−	1.50445i
$658$	38.4827	−	11.3736i	1.50021	−	0.443387i
$659$	9.45660	+	5.45977i	0.368377	+	0.212682i	0.672749	−	0.739871i	$-0.265113\pi$
$659$	9.45660	+	5.45977i	0.368377	+	0.212682i	−0.304372	+	0.952553i	$0.598447\pi$
$660$	3.10540	+	0.483344i	0.120877	+	0.0188141i
$661$		−	15.7893i		−	0.614131i	−0.951688	−	0.307066i	$-0.900653\pi$
$661$		−	15.7893i		−	0.614131i	0.951688	−	0.307066i	$-0.0993471\pi$
$662$	−25.3735	+	21.1338i	−0.986169	+	0.821387i
$663$	−3.16186	+	0.0867055i	−0.122797	+	0.00336736i
$664$	0.135797	−	12.4181i	0.00526994	−	0.481914i
$665$	16.2830	+	7.02138i	0.631429	+	0.272278i
$666$	11.7334	−	38.2178i	0.454662	−	1.48091i
$667$	4.72520	+	8.18429i	0.182961	+	0.316897i
$668$	4.55035	−	1.61872i	0.176058	−	0.0626303i
$669$	11.1937	+	6.05979i	0.432773	+	0.234285i
$670$	−1.82440	−	10.5719i	−0.0704829	−	0.408428i
$671$	−0.975475	−	1.68957i	−0.0376578	−	0.0652252i
$672$	25.8920	+	1.26612i	0.998807	+	0.0488417i
$673$	−18.3765	+	31.8290i	−0.708361	+	1.22692i	0.257104	+	0.966384i	$0.417232\pi$
$673$	−18.3765	+	31.8290i	−0.708361	+	1.22692i	−0.965465	+	0.260533i	$0.916102\pi$
$674$	−26.9540	−	9.92186i	−1.03823	−	0.382176i
$675$	−28.7862	−	41.5533i	−1.10798	−	1.59939i
$676$	−29.8536	−	25.4233i	−1.14821	−	0.977818i
$677$	21.4545			0.824563			0.412282	−	0.911056i	$-0.364732\pi$
$677$	21.4545			0.824563			0.412282	+	0.911056i	$0.364732\pi$
$678$	14.6222	−	43.3536i	0.561560	−	1.66498i
$679$	−28.0899	+	20.9176i	−1.07799	+	0.802745i
$680$	2.98726	+	1.76853i	0.114556	+	0.0678201i
$681$	10.0068	−	6.14917i	0.383460	−	0.235637i
$682$	0.0499258	+	0.0183779i	0.00191176	+	0.000703725i
$683$	−25.8228	−	14.9088i	−0.988081	−	0.570469i	−0.0833808	−	0.996518i	$-0.526572\pi$
$683$	−25.8228	−	14.9088i	−0.988081	−	0.570469i	−0.904700	+	0.426049i	$0.859905\pi$
$684$	9.66496	−	4.04768i	0.369549	−	0.154767i
$685$			15.4934i			0.591972i
$686$	−22.6397	−	13.1698i	−0.864387	−	0.502826i
$687$	11.6549	+	6.30945i	0.444662	+	0.240721i
$688$	15.2674	−	12.4361i	0.582064	−	0.474122i
$689$		−	22.9337i		−	0.873704i
$690$	61.5517	+	20.7600i	2.34323	+	0.790318i
$691$	−29.2526			−1.11282			−0.556411	−	0.830907i	$-0.687822\pi$
$691$	−29.2526			−1.11282			−0.556411	+	0.830907i	$0.687822\pi$
$692$	0.0159372	−	0.0866840i	0.000605840	−	0.00329523i
$693$	−1.84890	+	0.319874i	−0.0702338	+	0.0121510i
$694$	24.6337	+	29.5755i	0.935081	+	1.12267i
$695$	−42.1241			−1.59786
$696$	−6.69908	+	0.110414i	−0.253928	+	0.00418522i
$697$	1.11312			0.0421624
$698$	37.6090	−	6.49023i	1.42352	−	0.245659i
$699$	−23.4777	+	14.4271i	−0.888008	+	0.545682i
$700$	−51.3680	−	3.36125i	−1.94153	−	0.127043i
$701$	−8.05137			−0.304096			−0.152048	−	0.988373i	$-0.548587\pi$
$701$	−8.05137			−0.304096			−0.152048	+	0.988373i	$0.548587\pi$
$702$	11.2111	−	40.4356i	0.423136	−	1.52614i
$703$	−14.2515	−	8.22811i	−0.537506	−	0.310329i
$704$	0.0413571	−	1.89074i	0.00155871	−	0.0712601i
$705$	−33.9389	+	62.6922i	−1.27821	+	2.36112i
$706$	0.238306	−	0.647390i	0.00896878	−	0.0243648i
$707$	−1.91812	−	16.3927i	−0.0721385	−	0.616510i
$708$	−19.0088	−	2.95865i	−0.714393	−	0.111193i
$709$		−	7.81703i		−	0.293575i	−0.989168	−	0.146787i	$-0.953107\pi$
$709$		−	7.81703i		−	0.293575i	0.989168	−	0.146787i	$-0.0468933\pi$
$710$	5.72904	+	33.1982i	0.215007	+	1.24591i
$711$	−0.610562	−	11.1242i	−0.0228979	−	0.417191i
$712$	16.9723	+	10.0480i	0.636063	+	0.376564i
$713$	0.952291	+	0.549805i	0.0356636	+	0.0205904i
$714$	−2.02761	−	0.429656i	−0.0758813	−	0.0160795i
$715$	−2.59026	−	4.48646i	−0.0968701	−	0.167784i
$716$	−12.1780	+	14.3001i	−0.455112	+	0.534421i
$717$	−6.75473	−	10.9922i	−0.252260	−	0.410512i
$718$	27.1257	+	9.98507i	1.01232	+	0.372639i
$719$	−10.7577	−	18.6329i	−0.401194	−	0.694889i	0.592676	−	0.805441i	$-0.298071\pi$
$719$	−10.7577	−	18.6329i	−0.401194	−	0.694889i	−0.993870	+	0.110552i	$0.964738\pi$
$720$	−34.0590	+	30.9980i	−1.26930	+	1.15523i
$721$	31.1378	+	41.8143i	1.15963	+	1.55724i
$722$	3.83597	+	22.2283i	0.142760	+	0.827253i
$723$	13.6994	+	22.2935i	0.509485	+	0.829103i
$724$	2.24383	+	0.412536i	0.0833913	+	0.0153318i
$725$	13.3048			0.494130
$726$	−5.28124	−	26.2821i	−0.196005	−	0.975421i
$727$	35.6872	+	20.6040i	1.32357	+	0.764161i	0.984296	−	0.176528i	$-0.0564867\pi$
$727$	35.6872	+	20.6040i	1.32357	+	0.764161i	0.339270	+	0.940689i	$0.389820\pi$
$728$	−25.1452	−	34.5493i	−0.931943	−	1.28048i
$729$	26.6355	−	4.42129i	0.986502	−	0.163752i
$730$	73.3857	+	27.0135i	2.71613	+	0.999816i
$731$	−1.36346	+	0.787196i	−0.0504295	+	0.0291155i
$732$	28.2483	+	4.39675i	1.04409	+	0.162508i
$733$	8.70457	+	5.02559i	0.321511	+	0.185624i	0.652066	−	0.758162i	$-0.273903\pi$
$733$	8.70457	+	5.02559i	0.321511	+	0.185624i	−0.330555	+	0.943787i	$0.607236\pi$
$734$	16.1040	−	43.7485i	0.594409	−	1.61479i
$735$	44.9619	−	11.9791i	1.65845	−	0.441854i
$736$	7.48818	−	38.3652i	0.276018	−	1.41416i
$737$	0.404679	−	0.233641i	0.0149065	−	0.00860629i
$738$	−4.33392	+	14.1163i	−0.159534	+	0.519629i
$739$	−11.1383	+	19.2921i	−0.409728	+	0.709670i	−0.994859	−	0.101269i	$-0.967710\pi$
$739$	−11.1383	+	19.2921i	−0.409728	+	0.709670i	0.585131	+	0.810939i	$0.301043\pi$
$740$	71.1343	+	13.0783i	2.61495	+	0.480767i
$741$	−15.1893	−	8.22286i	−0.557994	−	0.302074i
$742$	3.51703	−	14.6102i	0.129114	−	0.536358i
$743$	−13.2692	−	22.9829i	−0.486799	−	0.843160i	0.513086	−	0.858337i	$-0.328502\pi$
$743$	−13.2692	−	22.9829i	−0.486799	−	0.843160i	−0.999885	+	0.0151769i	$0.995169\pi$
$744$	−0.668624	+	0.400865i	−0.0245130	+	0.0146964i
$745$	36.4758	+	63.1779i	1.33637	+	2.31466i
$746$	1.65342	−	0.285333i	0.0605361	−	0.0104468i
$747$	−11.7512	−	5.95100i	−0.429954	−	0.217736i
$748$	−0.0273418	+	0.148715i	−0.000999714	+	0.00543756i
$749$	−17.2883	+	2.02293i	−0.631702	+	0.0739161i
$750$	33.3616	−	29.3728i	1.21819	−	1.07254i
$751$	18.5195	+	10.6922i	0.675785	+	0.390165i	0.798265	−	0.602306i	$-0.205751\pi$
$751$	18.5195	+	10.6922i	0.675785	+	0.390165i	−0.122480	+	0.992471i	$0.539085\pi$
$752$	40.0935	+	15.2584i	1.46206	+	0.556418i
$753$	−0.372292	−	13.5763i	−0.0135671	−	0.494747i
$754$	7.06816	+	8.48613i	0.257407	+	0.309047i
$755$			31.1668i			1.13427i
$756$	13.3433	−	24.0407i	0.485289	−	0.874354i
$757$		−	14.5812i		−	0.529964i	−0.964253	−	0.264982i	$-0.914634\pi$
$757$		−	14.5812i		−	0.529964i	0.964253	−	0.264982i	$-0.0853660\pi$
$758$	−11.3973	+	9.49286i	−0.413967	+	0.344796i
$759$	0.0775584	+	2.82830i	0.00281519	+	0.102661i
$760$	9.29827	+	16.5197i	0.337284	+	0.599231i
$761$	21.6831	+	12.5187i	0.786012	+	0.453804i	0.838557	−	0.544814i	$-0.183400\pi$
$761$	21.6831	+	12.5187i	0.786012	+	0.453804i	−0.0525447	+	0.998619i	$0.516733\pi$
$762$	24.4124	+	27.7275i	0.884367	+	1.00446i
$763$	18.0139	+	24.1906i	0.652149	+	0.875757i
$764$	3.50195	−	19.0475i	0.126696	−	0.689114i
$765$	3.08311	−	2.01304i	0.111470	−	0.0727817i
$766$	−2.57074	−	14.8967i	−0.0928848	−	0.538241i
$767$	15.8555	+	27.4625i	0.572509	+	0.991614i
$768$	21.1981	+	17.8505i	0.764922	+	0.644123i
$769$	−19.4327	−	33.6585i	−0.700763	−	1.21376i	−0.968199	−	0.250181i	$-0.919510\pi$
$769$	−19.4327	−	33.6585i	−0.700763	−	1.21376i	0.267436	−	0.963576i	$-0.413824\pi$
$770$	−0.962132	−	3.25539i	−0.0346728	−	0.117316i
$771$	−18.3747	−	9.94727i	−0.661748	−	0.358242i
$772$	−4.72976	+	25.7257i	−0.170228	+	0.925888i
$773$	10.0724	−	17.4459i	0.362279	−	0.627485i	−0.626057	−	0.779777i	$-0.715332\pi$
$773$	10.0724	−	17.4459i	0.362279	−	0.627485i	0.988335	+	0.152292i	$0.0486655\pi$
$774$	−4.67440	−	20.3560i	−0.168018	−	0.731683i
$775$	1.34069	−	0.774049i	0.0481591	−	0.0278047i
$776$	−37.4386	−	0.409407i	−1.34397	−	0.0146969i
$777$	−42.7354	+	6.19228i	−1.53312	+	0.222147i
$778$	46.3224	+	17.0514i	1.66074	+	0.611324i
$779$	5.26400	+	3.03917i	0.188602	+	0.108890i
$780$	75.0100	+	11.6750i	2.68579	+	0.418033i
$781$	−1.27078	+	0.733687i	−0.0454722	+	0.0262534i
$782$	−1.07962	+	2.93292i	−0.0386071	+	0.104881i
$783$	−3.03560	+	6.42544i	−0.108483	+	0.229627i
$784$	−10.7207	−	25.8663i	−0.382884	−	0.923797i
$785$	−14.5911	−	8.42418i	−0.520779	−	0.300672i
$786$	−34.5879	+	6.95024i	−1.23371	+	0.247907i
$787$	10.3254			0.368061			0.184030	−	0.982921i	$-0.441085\pi$
$787$	10.3254			0.368061			0.184030	+	0.982921i	$0.441085\pi$
$788$	−4.74274	+	25.7963i	−0.168953	+	0.918956i
$789$	17.6422	+	28.7097i	0.628078	+	1.02209i
$790$	19.8620	−	3.42760i	0.706657	−	0.121949i
$791$	−49.0840	+	5.74338i	−1.74523	+	0.204211i
$792$	−1.77951	−	0.925762i	−0.0632322	−	0.0328955i
$793$	−23.5623	−	40.8111i	−0.836723	−	1.44925i
$794$	−3.94380	+	10.7138i	−0.139960	+	0.380220i
$795$	13.9773	+	22.7457i	0.495723	+	0.806708i
$796$	−8.09799	+	9.50915i	−0.287026	+	0.337043i
$797$	−7.12181	−	12.3353i	−0.252268	−	0.436940i	0.711882	−	0.702299i	$-0.247843\pi$
$797$	−7.12181	−	12.3353i	−0.252268	−	0.436940i	−0.964150	+	0.265359i	$0.914510\pi$
$798$	−8.41556	−	7.56788i	−0.297907	−	0.267900i
$799$	−2.97039	−	1.71496i	−0.105085	−	0.0606707i
$800$	−41.5054	−	36.1363i	−1.46744	−	1.27761i
$801$	17.5168	−	11.4372i	0.618926	−	0.404113i
$802$	26.2508	−	4.53012i	0.926946	−	0.159964i
$803$			3.40611i			0.120199i
$804$	−1.05309	+	6.76590i	−0.0371396	+	0.238615i
$805$	−8.15422	−	69.6876i	−0.287398	−	2.45616i
$806$	1.20594	+	0.443912i	0.0424776	+	0.0156362i
$807$	20.5874	−	38.0292i	0.724711	−	1.33869i
$808$	8.98859	−	15.1828i	0.316217	−	0.534130i
$809$	−12.8628	−	7.42634i	−0.452232	−	0.261096i	0.256540	−	0.966534i	$-0.417417\pi$
$809$	−12.8628	−	7.42634i	−0.452232	−	0.261096i	−0.708772	+	0.705437i	$0.750751\pi$
$810$	13.5249	+	46.9370i	0.475215	+	1.64920i
$811$	−0.570088			−0.0200185			−0.0100093	−	0.999950i	$-0.503186\pi$
$811$	−0.570088			−0.0200185			−0.0100093	+	0.999950i	$0.503186\pi$
$812$	3.20147	+	6.49016i	0.112349	+	0.227760i
$813$	−17.6549	+	10.8490i	−0.619184	+	0.380489i
$814$	0.535731	+	3.10441i	0.0187774	+	0.108810i
$815$	−44.6274			−1.56323
$816$	−1.44591	−	1.67893i	−0.0506171	−	0.0587743i
$817$	−8.59718			−0.300777
$818$	19.1639	−	15.9617i	0.670050	−	0.558089i
$819$	−44.6596	+	7.72647i	−1.56053	+	0.269985i
$820$	−26.2745	−	4.83065i	−0.917544	−	0.168694i
$821$	−38.1291			−1.33071			−0.665357	−	0.746526i	$-0.731721\pi$
$821$	−38.1291			−1.33071			−0.665357	+	0.746526i	$0.731721\pi$
$822$	3.16036	−	9.37021i	0.110230	−	0.326824i
$823$			33.4902i			1.16740i	0.811971	+	0.583698i	$0.198395\pi$
$823$			33.4902i			1.16740i	−0.811971	+	0.583698i	$0.801605\pi$
$824$	−0.609439	+	55.7307i	−0.0212308	+	1.94147i
$825$	3.50298	+	1.89636i	0.121958	+	0.0660229i
$826$	5.88941	+	19.9269i	0.204919	+	0.693347i
$827$		−	5.15036i		−	0.179096i	−0.995983	−	0.0895478i	$-0.971458\pi$
$827$		−	5.15036i		−	0.179096i	0.995983	−	0.0895478i	$-0.0285422\pi$
$828$	−32.9911	−	25.1107i	−1.14652	−	0.872658i
$829$	10.0357	+	5.79409i	0.348553	+	0.201237i	0.664048	−	0.747690i	$-0.268837\pi$
$829$	10.0357	+	5.79409i	0.348553	+	0.201237i	−0.315495	+	0.948927i	$0.602171\pi$
$830$	8.23197	−	22.3632i	0.285736	−	0.776238i
$831$	−3.27756	+	2.01407i	−0.113697	+	0.0698672i
$832$	0.998970	−	45.6704i	0.0346331	−	1.58334i
$833$	0.516828	+	2.17822i	0.0179070	+	0.0754709i
$834$	25.4761	+	8.59250i	0.882166	+	0.297534i
$835$	9.26760			0.320719
$836$	−0.535340	+	0.628629i	−0.0185151	+	0.0217416i
$837$	0.0679306	+	0.824078i	0.00234802	+	0.0284843i
$838$	9.78853	−	26.5918i	0.338139	−	0.918598i
$839$	25.8837	−	44.8318i	0.893603	−	1.54777i	0.0580786	−	0.998312i	$-0.481503\pi$
$839$	25.8837	−	44.8318i	0.893603	−	1.54777i	0.835524	−	0.549454i	$-0.185164\pi$
$840$	45.9957	+	18.9410i	1.58700	+	0.653528i
$841$	13.5648	+	23.4949i	0.467751	+	0.810169i
$842$	4.21286	−	0.727018i	0.145185	−	0.0250547i
$843$	4.30643	+	2.33131i	0.148321	+	0.0802947i
$844$	2.17086	−	0.772254i	0.0747241	−	0.0265821i
$845$	−37.6215	−	65.1624i	−1.29422	−	2.24165i
$846$	33.3138	−	30.9926i	1.14535	−	1.06555i
$847$	−23.2236	+	17.2939i	−0.797973	+	0.594225i
$848$	12.4559	−	10.1460i	0.427737	−	0.348414i
$849$	9.16849	−	0.251421i	0.314662	−	0.00862874i
$850$	2.81596	+	3.38089i	0.0965867	+	0.115963i
$851$			65.1136i			2.23206i
$852$	3.30694	−	21.2465i	0.113294	−	0.727892i
$853$	40.4250	+	23.3394i	1.38413	+	0.799125i	0.992645	−	0.121061i	$-0.0386298\pi$
$853$	40.4250	+	23.3394i	1.38413	+	0.799125i	0.391480	+	0.920186i	$0.371963\pi$
$854$	−8.75205	−	29.6128i	−0.299489	−	1.01333i
$855$	20.0764	−	1.10191i	0.686599	−	0.0376845i
$856$	−16.0124	−	9.47971i	−0.547292	−	0.324010i
$857$	−1.34503	+	0.776554i	−0.0459454	+	0.0265266i	−0.522797	−	0.852457i	$-0.675111\pi$
$857$	−1.34503	+	0.776554i	−0.0459454	+	0.0265266i	0.476851	+	0.878984i	$0.341778\pi$
$858$	0.651405	+	3.24172i	0.0222386	+	0.110670i
$859$	13.9278	−	24.1237i	0.475211	−	0.823089i	−0.524386	−	0.851481i	$-0.675705\pi$
$859$	13.9278	−	24.1237i	0.475211	−	0.823089i	0.999597	+	0.0283915i	$0.00903851\pi$
$860$	35.5999	−	12.6642i	1.21395	−	0.431844i
$861$	15.7849	−	2.28721i	0.537949	−	0.0779479i
$862$	0.601697	+	3.48666i	0.0204939	+	0.118756i
$863$	16.4289	+	28.4556i	0.559245	+	0.968641i	0.997560	+	0.0698196i	$0.0222424\pi$
$863$	16.4289	+	28.4556i	0.559245	+	0.968641i	−0.438314	+	0.898822i	$0.644424\pi$
$864$	26.9214	−	11.7998i	0.915886	−	0.401439i
$865$	0.0845620	−	0.146466i	0.00287520	−	0.00497998i
$866$	−24.2650	+	20.2105i	−0.824558	+	0.686780i
$867$	−15.3232	−	24.9359i	−0.520402	−	0.846868i
$868$	0.700187	+	0.467740i	0.0237659	+	0.0158761i
$869$	0.438953	+	0.760290i	0.0148905	+	0.0257911i
$870$	−12.1822	−	4.10879i	−0.413017	−	0.139301i
$871$	9.77490	−	5.64354i	0.331210	−	0.191224i
$872$	−0.352575	+	32.2415i	−0.0119397	+	1.09184i
$873$	−17.9414	+	35.4281i	−0.607224	+	1.19906i
$874$	−13.1134	+	10.9222i	−0.443566	+	0.369450i
$875$	−44.0868	−	19.0106i	−1.49041	−	0.642676i
$876$	−38.8725	−	31.3067i	−1.31338	−	1.05776i
$877$	−47.4930	−	27.4201i	−1.60373	−	0.925912i	−0.990733	−	0.135823i	$-0.956632\pi$
$877$	−47.4930	−	27.4201i	−1.60373	−	0.925912i	−0.612993	−	0.790089i	$-0.710035\pi$
$878$	23.5552	+	28.2807i	0.794948	+	0.954426i
$879$	14.2932	+	23.2599i	0.482099	+	0.784537i
$880$	1.29077	−	3.39167i	0.0435118	−	0.114333i
$881$			5.51256i			0.185723i	0.995679	+	0.0928614i	$0.0296014\pi$
$881$			5.51256i			0.185723i	−0.995679	+	0.0928614i	$0.970399\pi$
$882$	−29.6359	−	1.92659i	−0.997894	−	0.0648717i
$883$	−36.5642			−1.23048			−0.615242	−	0.788338i	$-0.710942\pi$
$883$	−36.5642			−1.23048			−0.615242	+	0.788338i	$0.710942\pi$
$884$	−0.660433	+	3.59217i	−0.0222128	+	0.120818i
$885$	−32.4630	−	17.5741i	−1.09123	−	0.590746i
$886$	−13.6927	−	16.4397i	−0.460016	−	0.552301i
$887$	15.8417	−	27.4386i	0.531912	−	0.921298i	−0.467394	−	0.884049i	$-0.654807\pi$
$887$	15.8417	−	27.4386i	0.531912	−	0.921298i	0.999306	−	0.0372493i	$-0.0118596\pi$
$888$	−40.3534	−	22.4196i	−1.35417	−	0.752353i
$889$	15.8001	−	36.6415i	0.529919	−	1.22892i
$890$	24.2219	+	29.0811i	0.811918	+	0.974801i
$891$	−1.71506	+	1.25906i	−0.0574567	+	0.0421801i
$892$	9.52942	−	11.1900i	0.319068	−	0.374670i
$893$	−9.36475	−	16.2202i	−0.313379	−	0.542789i
$894$	−9.17302	−	45.6496i	−0.306792	−	1.52675i
$895$	−31.2134	+	18.0210i	−1.04335	+	0.602377i
$896$	7.64027	−	28.9418i	0.255243	−	0.966877i
$897$	1.87340	+	68.3168i	0.0625511	+	2.28103i
$898$	20.6907	+	24.8416i	0.690459	+	0.828975i
$899$	−0.188476	−	0.108817i	−0.00628604	−	0.00362924i
$900$	−53.8395	+	22.5479i	−1.79465	+	0.751597i
$901$	−1.11238	+	0.642232i	−0.0370587	+	0.0213959i
$902$	−0.197880	−	1.14666i	−0.00658869	−	0.0381796i
$903$	−17.7175	+	13.9647i	−0.589601	+	0.464715i
$904$	−45.4614	−	26.9142i	−1.51203	−	0.895154i
$905$	3.79129	+	2.18890i	0.126027	+	0.0727616i
$906$	6.35742	−	18.8493i	0.211211	−	0.626225i
$907$	−25.4983	−	44.1644i	−0.846658	−	1.46645i	−0.884174	−	0.467159i	$-0.845278\pi$
$907$	−25.4983	−	44.1644i	−0.846658	−	1.46645i	0.0375157	−	0.999296i	$-0.488056\pi$
$908$	−4.54548	−	12.7777i	−0.150847	−	0.424041i
$909$	−10.2313	−	15.6699i	−0.339351	−	0.519739i
$910$	−23.2400	−	78.6332i	−0.770400	−	2.60666i
$911$	2.93546	−	5.08436i	0.0972560	−	0.168452i	−0.813292	−	0.581856i	$-0.802327\pi$
$911$	2.93546	−	5.08436i	0.0972560	−	0.168452i	0.910548	+	0.413404i	$0.135660\pi$
$912$	−2.25379	−	11.8876i	−0.0746304	−	0.393636i
$913$	1.03796			0.0343515
$914$	−23.0637	+	19.2099i	−0.762879	+	0.635407i
$915$	48.2422	+	26.1163i	1.59484	+	0.863377i
$916$	9.92204	−	11.6511i	0.327833	−	0.384962i
$917$	22.7592	+	30.5628i	0.751575	+	1.00927i
$918$	−2.27525	+	0.588568i	−0.0750943	+	0.0194256i
$919$	−24.0872	+	13.9068i	−0.794565	+	0.458742i	−0.841567	−	0.540152i	$-0.818367\pi$
$919$	−24.0872	+	13.9068i	−0.794565	+	0.458742i	0.0470022	+	0.998895i	$0.485033\pi$
$920$	38.2118	−	64.5444i	1.25981	−	2.12796i
$921$	20.3814	−	0.558904i	0.671589	−	0.0184165i
$922$	0.867109	+	5.02465i	0.0285567	+	0.165478i
$923$	−30.6954	+	17.7220i	−1.01035	+	0.583327i
$924$	−0.0821525	+	2.16508i	−0.00270262	+	0.0712259i
$925$	79.3892	+	45.8354i	2.61030	+	1.50706i
$926$	−15.2491	+	41.4260i	−0.501116	+	1.36134i
$927$	52.7378	+	26.7073i	1.73214	+	0.877184i
$928$	−1.48205	+	7.59320i	−0.0486507	+	0.249259i
$929$		−	4.11284i		−	0.134938i	−0.997721	−	0.0674690i	$-0.978508\pi$
$929$		−	4.11284i		−	0.134938i	0.997721	−	0.0674690i	$-0.0214924\pi$
$930$	−1.46661	+	0.294707i	−0.0480921	+	0.00966382i
$931$	−3.50313	+	11.7120i	−0.114810	+	0.383846i
$932$	10.6645	+	29.9787i	0.349328	+	0.981986i
$933$	47.3623	−	1.29878i	1.55057	−	0.0425202i
$934$	−6.42462	+	17.4533i	−0.210220	+	0.571090i
$935$	−0.145075	+	0.251276i	−0.00474445	+	0.00821762i
$936$	−42.9836	−	22.3615i	−1.40496	−	0.730909i
$937$	−37.4587			−1.22372			−0.611862	−	0.790965i	$-0.709579\pi$
$937$	−37.4587			−1.22372			−0.611862	+	0.790965i	$0.709579\pi$
$938$	7.09271	−	2.09625i	0.231585	−	0.0684450i
$939$	23.6622	−	0.648872i	0.772187	−	0.0211751i
$940$	62.6716	+	53.3711i	2.04412	+	1.74077i
$941$	24.7884			0.808077			0.404039	−	0.914742i	$-0.367606\pi$
$941$	24.7884			0.808077			0.404039	+	0.914742i	$0.367606\pi$
$942$	7.10616	+	8.07115i	0.231531	+	0.262972i
$943$		−	24.0506i		−	0.783196i
$944$	−7.90106	+	20.7611i	−0.257158	+	0.675715i
$945$	39.5846	−	34.8816i	1.28769	−	1.13470i
$946$	1.05330	+	1.26460i	0.0342457	+	0.0411158i
$947$		−	25.9467i		−	0.843154i	−0.906793	−	0.421577i	$-0.861477\pi$
$947$		−	25.9467i		−	0.843154i	0.906793	−	0.421577i	$-0.138523\pi$
$948$	−12.7114	−	1.97849i	−0.412848	−	0.0642584i
$949$			82.2737i			2.67072i
$950$	4.08594	+	23.6769i	0.132565	+	0.768179i
$951$	15.2414	−	0.417955i	0.494238	−	0.0135531i
$952$	−0.971621	+	2.18716i	−0.0314904	+	0.0708863i
$953$			4.17710i			0.135309i	0.997709	+	0.0676547i	$0.0215516\pi$
$953$			4.17710i			0.135309i	−0.997709	+	0.0676547i	$0.978448\pi$
$954$	−3.81360	−	16.6074i	−0.123470	−	0.537686i
$955$	18.5812	−	32.1836i	0.601274	−	1.04144i
$956$	−14.0360	+	4.99311i	−0.453956	+	0.161489i
$957$	−0.0153503	−	0.559774i	−0.000496204	−	0.0180949i
$958$	25.7452	+	9.47690i	0.831789	+	0.306185i
$959$	−10.6088	+	1.24134i	−0.342575	+	0.0400851i
$960$	26.8437	+	45.9050i	0.866378	+	1.48158i
$961$	30.9747			0.999183
$962$	12.9404	+	74.9862i	0.417217	+	2.41765i
$963$	−16.5261	+	10.7903i	−0.532547	+	0.347714i
$964$	28.4666	−	10.1266i	0.916847	−	0.326156i
$965$	−25.0959	+	43.4675i	−0.807867	+	1.39927i
$966$	−9.28336	+	43.8095i	−0.298687	+	1.40955i
$967$	−21.8350	+	12.6065i	−0.702167	+	0.405396i	−0.808154	−	0.588971i	$-0.799533\pi$
$967$	−21.8350	+	12.6065i	−0.702167	+	0.405396i	0.105987	+	0.994368i	$0.466200\pi$
$968$	−30.9528	−	0.338482i	−0.994860	−	0.0108792i
$969$	0.0265178	+	0.967018i	0.000851876	+	0.0310651i
$970$	−67.4217	−	24.8182i	−2.16478	−	0.796863i
$971$	41.2776	−	23.8316i	1.32466	−	0.764794i	0.340193	−	0.940355i	$-0.389507\pi$
$971$	41.2776	−	23.8316i	1.32466	−	0.764794i	0.984468	+	0.175562i	$0.0561741\pi$
$972$	1.39457	−	31.1457i	0.0447310	−	0.998999i
$973$	−3.37501	−	28.8435i	−0.108198	−	0.924682i
$974$	8.06124	−	1.39114i	0.258299	−	0.0445749i
$975$	84.6135	+	45.8061i	2.70980	+	1.46697i
$976$	11.7415	−	30.8523i	0.375836	−	0.987559i
$977$		−	15.8150i		−	0.505967i	−0.967471	−	0.252983i	$-0.918588\pi$
$977$		−	15.8150i		−	0.505967i	0.967471	−	0.252983i	$-0.0814118\pi$
$978$	26.9901	+	9.10314i	0.863049	+	0.291086i
$979$	−0.824247	+	1.42764i	−0.0263430	+	0.0456275i
$980$	−2.74648	−	53.6584i	−0.0877330	−	1.71405i
$981$	30.5101	+	15.4508i	0.974113	+	0.493307i
$982$	−7.35160	+	19.9716i	−0.234599	+	0.637318i
$983$	−3.62360	−	6.27626i	−0.115575	−	0.200182i	0.802435	−	0.596740i	$-0.203538\pi$
$983$	−3.62360	−	6.27626i	−0.115575	−	0.200182i	−0.918009	+	0.396559i	$0.870204\pi$
$984$	14.9051	+	8.28101i	0.475158	+	0.263989i
$985$	−25.1648	+	43.5868i	−0.801818	+	1.38879i
$986$	0.213677	−	0.580480i	0.00680485	−	0.0184862i
$987$	−45.6463	−	18.2160i	−1.45294	−	0.579820i
$988$	−12.9310	+	15.1844i	−0.411390	+	0.483079i
$989$	17.0086	+	29.4597i	0.540840	+	0.936763i
$990$	−2.62178	−	2.81814i	−0.0833257	−	0.0895664i
$991$	−9.19546	−	5.30900i	−0.292104	−	0.168646i	0.346787	−	0.937944i	$-0.387273\pi$
$991$	−9.19546	−	5.30900i	−0.292104	−	0.168646i	−0.638890	+	0.769298i	$0.720606\pi$
$992$	0.292415	+	0.851368i	0.00928418	+	0.0270310i
$993$	40.4283	−	1.10864i	1.28295	−	0.0351815i
$994$	−22.2727	+	6.58271i	−0.706448	+	0.208791i
$995$	−20.7559	+	11.9835i	−0.658008	+	0.379901i
$996$	−9.54026	+	11.8458i	−0.302295	+	0.375349i
$997$	4.09717	−	2.36550i	0.129759	−	0.0749163i	−0.433716	−	0.901050i	$-0.642798\pi$
$997$	4.09717	−	2.36550i	0.129759	−	0.0749163i	0.563474	+	0.826134i	$0.309464\pi$
$998$	−2.96612	−	17.1878i	−0.0938908	−	0.544070i
$999$	−40.2490	+	27.8826i	−1.27342	+	0.882165i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bt.a.11.20	✓	184
7.2	even	3		504.2.cy.a.443.82	yes	184
8.3	odd	2	inner	504.2.bt.a.11.73	yes	184
9.5	odd	6		504.2.cy.a.347.52	yes	184
56.51	odd	6		504.2.cy.a.443.52	yes	184
63.23	odd	6	inner	504.2.bt.a.275.73	yes	184
72.59	even	6		504.2.cy.a.347.82	yes	184
504.275	even	6	inner	504.2.bt.a.275.20	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.20	✓	184	1.1	even	1	trivial
504.2.bt.a.11.73	yes	184	8.3	odd	2	inner
504.2.bt.a.275.20	yes	184	504.275	even	6	inner
504.2.bt.a.275.73	yes	184	63.23	odd	6	inner
504.2.cy.a.347.52	yes	184	9.5	odd	6
504.2.cy.a.347.82	yes	184	72.59	even	6
504.2.cy.a.443.52	yes	184	56.51	odd	6
504.2.cy.a.443.82	yes	184	7.2	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.bt (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08666 + 0.905084i) q^{2} +(1.73140 - 0.0474789i) q^{3} +(0.361645 - 1.96703i) q^{4} +(1.91888 - 3.32360i) q^{5} +(-1.83846 + 1.61866i) q^{6} +(2.42950 + 1.04762i) q^{7} +(1.38734 + 2.46481i) q^{8} +(2.99549 - 0.164410i) q^{9} +O(q^{10})\)	\(q+(-1.08666 + 0.905084i) q^{2} +(1.73140 - 0.0474789i) q^{3} +(0.361645 - 1.96703i) q^{4} +(1.91888 - 3.32360i) q^{5} +(-1.83846 + 1.61866i) q^{6} +(2.42950 + 1.04762i) q^{7} +(1.38734 + 2.46481i) q^{8} +(2.99549 - 0.164410i) q^{9} +(0.922971 + 5.34836i) q^{10} +(-0.204728 + 0.118200i) q^{11} +(0.532760 - 3.42289i) q^{12} +(-4.94515 + 2.85508i) q^{13} +(-3.58822 + 1.06050i) q^{14} +(3.16455 - 5.84558i) q^{15} +(-3.73843 - 1.42274i) q^{16} +(0.276967 + 0.159907i) q^{17} +(-3.10627 + 2.88983i) q^{18} +(0.873193 + 1.51241i) q^{19} +(-5.84366 - 4.97646i) q^{20} +(4.25618 + 1.69850i) q^{21} +(0.115488 - 0.313739i) q^{22} +(3.45503 - 5.98428i) q^{23} +(2.51907 + 4.20170i) q^{24} +(-4.86420 - 8.42504i) q^{25} +(2.78959 - 7.57827i) q^{26} +(5.17859 - 0.426882i) q^{27} +(2.93932 - 4.40004i) q^{28} +(-0.683815 + 1.18440i) q^{29} +(1.85197 + 9.21632i) q^{30} +0.159132i q^{31} +(5.35008 - 1.83756i) q^{32} +(-0.348854 + 0.214371i) q^{33} +(-0.445697 + 0.0769144i) q^{34} +(8.14380 - 6.06443i) q^{35} +(0.759906 - 5.95168i) q^{36} +(-8.16057 + 4.71151i) q^{37} +(-2.31772 - 0.853162i) q^{38} +(-8.42647 + 5.17808i) q^{39} +(10.8542 + 0.118695i) q^{40} +(3.01422 - 1.74026i) q^{41} +(-6.16230 + 2.00651i) q^{42} +(-2.46142 + 4.26330i) q^{43} +(0.158464 + 0.445453i) q^{44} +(5.20155 - 10.2713i) q^{45} +(1.66185 + 9.62995i) q^{46} -10.7247 q^{47} +(-6.54026 - 2.28583i) q^{48} +(4.80498 + 5.09040i) q^{49} +(12.9111 + 4.75261i) q^{50} +(0.487132 + 0.263713i) q^{51} +(3.82765 + 10.7598i) q^{52} +(-2.00815 + 3.47821i) q^{53} +(-5.24098 + 5.15093i) q^{54} +0.907244i q^{55} +(0.788371 + 7.44167i) q^{56} +(1.58365 + 2.57714i) q^{57} +(-0.328912 - 1.90595i) q^{58} -5.55343i q^{59} +(-10.3540 - 8.33879i) q^{60} +8.25277i q^{61} +(-0.144028 - 0.172922i) q^{62} +(7.44980 + 2.73871i) q^{63} +(-4.15055 + 6.83907i) q^{64} +21.9142i q^{65} +(0.185060 - 0.548690i) q^{66} -1.97666 q^{67} +(0.414705 - 0.486973i) q^{68} +(5.69791 - 10.5252i) q^{69} +(-3.36069 + 13.9608i) q^{70} +6.20717 q^{71} +(4.56102 + 7.15522i) q^{72} +(7.20414 - 12.4779i) q^{73} +(4.60343 - 12.5058i) q^{74} +(-8.82188 - 14.3562i) q^{75} +(3.29075 - 1.17064i) q^{76} +(-0.621216 + 0.0726892i) q^{77} +(4.47009 - 13.2535i) q^{78} -3.71366i q^{79} +(-11.9022 + 9.69496i) q^{80} +(8.94594 - 0.984978i) q^{81} +(-1.70034 + 4.61920i) q^{82} +(-3.80247 - 2.19535i) q^{83} +(4.88024 - 7.75779i) q^{84} +(1.06293 - 0.613684i) q^{85} +(-1.18393 - 6.86054i) q^{86} +(-1.12772 + 2.08314i) q^{87} +(-0.575368 - 0.340631i) q^{88} +(6.03909 - 3.48667i) q^{89} +(3.64408 + 15.8692i) q^{90} +(-15.0053 + 1.75579i) q^{91} +(-10.5218 - 8.96034i) q^{92} +(0.00755541 + 0.275521i) q^{93} +(11.6541 - 9.70677i) q^{94} +6.70221 q^{95} +(9.17588 - 3.43557i) q^{96} +(-6.61866 + 11.4639i) q^{97} +(-9.82860 - 1.18261i) q^{98} +(-0.593828 + 0.387726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

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