LMFDB - Embedded newform 144.3.w.a.77.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, degree $4$, 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:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			77.1
Character	$\chi$	$=$	144.77
Dual form			144.3.w.a.101.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.98980 + 0.201701i) q^{2} +(-2.32839 - 1.89172i) q^{3} +(3.91863 - 0.802691i) q^{4} +(-3.99189 + 1.06962i) q^{5} +(5.01460 + 3.29450i) q^{6} +(-2.82785 + 1.63266i) q^{7} +(-7.63541 + 2.38759i) q^{8} +(1.84282 + 8.80931i) q^{9} +O(q^{10})$	\(q+(-1.98980 + 0.201701i) q^{2} +(-2.32839 - 1.89172i) q^{3} +(3.91863 - 0.802691i) q^{4} +(-3.99189 + 1.06962i) q^{5} +(5.01460 + 3.29450i) q^{6} +(-2.82785 + 1.63266i) q^{7} +(-7.63541 + 2.38759i) q^{8} +(1.84282 + 8.80931i) q^{9} +(7.72733 - 2.93351i) q^{10} +(2.39591 - 8.94164i) q^{11} +(-10.6426 - 5.54396i) q^{12} +(15.1555 - 4.06090i) q^{13} +(5.29755 - 3.81905i) q^{14} +(11.3181 + 5.06102i) q^{15} +(14.7114 - 6.29090i) q^{16} +27.9053i q^{17} +(-5.44370 - 17.1571i) q^{18} +(22.9712 + 22.9712i) q^{19} +(-14.7842 + 7.39571i) q^{20} +(9.67286 + 1.54801i) q^{21} +(-2.96384 + 18.2754i) q^{22} +(2.53989 - 4.39922i) q^{23} +(22.2949 + 8.88477i) q^{24} +(-6.85956 + 3.96037i) q^{25} +(-29.3373 + 11.1373i) q^{26} +(12.3739 - 23.9976i) q^{27} +(-9.77077 + 8.66767i) q^{28} +(39.4467 + 10.5697i) q^{29} +(-23.5416 - 7.78755i) q^{30} +(14.7914 - 25.6195i) q^{31} +(-28.0039 + 15.4850i) q^{32} +(-22.4937 + 16.2873i) q^{33} +(-5.62854 - 55.5261i) q^{34} +(9.54211 - 9.54211i) q^{35} +(14.2925 + 33.0413i) q^{36} +(-22.0195 + 22.0195i) q^{37} +(-50.3416 - 41.0749i) q^{38} +(-42.9700 - 19.2145i) q^{39} +(27.9259 - 17.6980i) q^{40} +(-12.6718 + 21.9482i) q^{41} +(-19.5593 - 1.12922i) q^{42} +(-3.07219 - 0.823192i) q^{43} +(2.21130 - 36.9622i) q^{44} +(-16.7790 - 33.1947i) q^{45} +(-4.16655 + 9.26587i) q^{46} +(-0.0912598 + 0.0526889i) q^{47} +(-46.1545 - 13.1820i) q^{48} +(-19.1689 + 33.2014i) q^{49} +(12.8504 - 9.26394i) q^{50} +(52.7890 - 64.9746i) q^{51} +(56.1291 - 28.0783i) q^{52} +(-1.60168 - 1.60168i) q^{53} +(-19.7813 + 50.2464i) q^{54} +38.2567i q^{55} +(17.6936 - 19.2177i) q^{56} +(-10.0310 - 96.9411i) q^{57} +(-80.6231 - 13.0752i) q^{58} +(-21.6369 + 5.79758i) q^{59} +(48.4139 + 10.7473i) q^{60} +(7.11965 - 26.5709i) q^{61} +(-24.2645 + 53.9612i) q^{62} +(-19.5938 - 21.9027i) q^{63} +(52.5988 - 36.4604i) q^{64} +(-56.1553 + 32.4213i) q^{65} +(41.4728 - 36.9455i) q^{66} +(-54.7625 + 14.6736i) q^{67} +(22.3994 + 109.351i) q^{68} +(-14.2359 + 5.43835i) q^{69} +(-17.0623 + 20.9116i) q^{70} +38.5998 q^{71} +(-35.1037 - 62.8628i) q^{72} +75.9952i q^{73} +(39.3732 - 48.2559i) q^{74} +(23.4636 + 3.75505i) q^{75} +(108.455 + 71.5771i) q^{76} +(7.82339 + 29.1973i) q^{77} +(89.3773 + 29.5660i) q^{78} +(65.8295 + 114.020i) q^{79} +(-51.9973 + 40.8482i) q^{80} +(-74.2080 + 32.4680i) q^{81} +(20.7874 - 46.2285i) q^{82} +(38.2470 + 10.2482i) q^{83} +(39.1470 - 1.69822i) q^{84} +(-29.8482 - 111.395i) q^{85} +(6.27910 + 1.01833i) q^{86} +(-71.8525 - 99.2324i) q^{87} +(3.05526 + 73.9935i) q^{88} +150.778 q^{89} +(40.0823 + 62.6665i) q^{90} +(-36.2273 + 36.2273i) q^{91} +(6.42168 - 19.2777i) q^{92} +(-82.9050 + 31.6711i) q^{93} +(0.170962 - 0.123248i) q^{94} +(-116.269 - 67.1280i) q^{95} +(94.4971 + 16.9203i) q^{96} +(-16.8043 - 29.1059i) q^{97} +(31.4455 - 69.9307i) q^{98} +(83.1849 + 4.62844i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{6}\right)$	$1$

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 $

$2$	−1.98980	+	0.201701i	−0.994902	+	0.100851i
$2$	−1.98980	+	0.201701i	−0.994902	+	0.100851i
$3$	−2.32839	−	1.89172i	−0.776131	−	0.630572i
$3$	−2.32839	−	1.89172i	−0.776131	−	0.630572i
$4$	3.91863	−	0.802691i	0.979658	−	0.200673i
$5$	−3.99189	+	1.06962i	−0.798378	+	0.213925i	−0.634872	−	0.772618i	$-0.718947\pi$
$5$	−3.99189	+	1.06962i	−0.798378	+	0.213925i	−0.163506	+	0.986542i	$0.552280\pi$
$6$	5.01460	+	3.29450i	0.835767	+	0.549084i
$7$	−2.82785	+	1.63266i	−0.403978	+	0.233237i	−0.688199	−	0.725522i	$-0.741598\pi$
$7$	−2.82785	+	1.63266i	−0.403978	+	0.233237i	0.284221	+	0.958759i	$0.408265\pi$
$8$	−7.63541	+	2.38759i	−0.954426	+	0.298449i
$9$	1.84282	+	8.80931i	0.204758	+	0.978813i
$10$	7.72733	−	2.93351i	0.772733	−	0.293351i
$11$	2.39591	−	8.94164i	0.217810	−	0.812876i	−0.767349	−	0.641230i	$-0.778425\pi$
$11$	2.39591	−	8.94164i	0.217810	−	0.812876i	0.985159	−	0.171647i	$-0.0549088\pi$
$12$	−10.6426	−	5.54396i	−0.886882	−	0.461997i
$13$	15.1555	−	4.06090i	1.16581	−	0.312377i	0.376523	−	0.926407i	$-0.377119\pi$
$13$	15.1555	−	4.06090i	1.16581	−	0.312377i	0.789282	+	0.614030i	$0.210453\pi$
$14$	5.29755	−	3.81905i	0.378396	−	0.272789i
$15$	11.3181	+	5.06102i	0.754540	+	0.337401i
$16$	14.7114	−	6.29090i	0.919461	−	0.393182i
$17$			27.9053i			1.64149i	0.571294	+	0.820745i	$0.306442\pi$
$17$			27.9053i			1.64149i	−0.571294	+	0.820745i	$0.693558\pi$
$18$	−5.44370	−	17.1571i	−0.302428	−	0.953172i
$19$	22.9712	+	22.9712i	1.20901	+	1.20901i	0.971347	+	0.237666i	$0.0763823\pi$
$19$	22.9712	+	22.9712i	1.20901	+	1.20901i	0.237666	+	0.971347i	$0.423618\pi$
$20$	−14.7842	+	7.39571i	−0.739208	+	0.369786i
$21$	9.67286	+	1.54801i	0.460612	+	0.0737149i
$22$	−2.96384	+	18.2754i	−0.134720	+	0.830698i
$23$	2.53989	−	4.39922i	0.110430	−	0.191270i	−0.805514	−	0.592577i	$-0.798111\pi$
$23$	2.53989	−	4.39922i	0.110430	−	0.191270i	0.915944	+	0.401307i	$0.131444\pi$
$24$	22.2949	+	8.88477i	0.928953	+	0.370199i
$25$	−6.85956	+	3.96037i	−0.274382	+	0.158415i
$26$	−29.3373	+	11.1373i	−1.12836	+	0.428356i
$27$	12.3739	−	23.9976i	0.458293	−	0.888801i
$28$	−9.77077	+	8.66767i	−0.348956	+	0.309560i
$29$	39.4467	+	10.5697i	1.36023	+	0.364473i	0.863902	−	0.503661i	$-0.168014\pi$
$29$	39.4467	+	10.5697i	1.36023	+	0.364473i	0.496330	+	0.868134i	$0.334680\pi$
$30$	−23.5416	−	7.78755i	−0.784720	−	0.259585i
$31$	14.7914	−	25.6195i	0.477143	−	0.826435i	−0.522514	−	0.852631i	$-0.675006\pi$
$31$	14.7914	−	25.6195i	0.477143	−	0.826435i	0.999657	+	0.0261954i	$0.00833921\pi$
$32$	−28.0039	+	15.4850i	−0.875121	+	0.483905i
$33$	−22.4937	+	16.2873i	−0.681626	+	0.493554i
$34$	−5.62854	−	55.5261i	−0.165545	−	1.63312i
$35$	9.54211	−	9.54211i	0.272632	−	0.272632i
$36$	14.2925	+	33.0413i	0.397014	+	0.917813i
$37$	−22.0195	+	22.0195i	−0.595123	+	0.595123i	−0.939011	−	0.343888i	$-0.888256\pi$
$37$	−22.0195	+	22.0195i	−0.595123	+	0.595123i	0.343888	+	0.939011i	$0.388256\pi$
$38$	−50.3416	−	41.0749i	−1.32478	−	1.08092i
$39$	−42.9700	−	19.2145i	−1.10179	−	0.492679i
$40$	27.9259	−	17.6980i	0.698146	−	0.442450i
$41$	−12.6718	+	21.9482i	−0.309068	+	0.535322i	−0.978159	−	0.207859i	$-0.933350\pi$
$41$	−12.6718	+	21.9482i	−0.309068	+	0.535322i	0.669091	+	0.743181i	$0.266684\pi$
$42$	−19.5593	−	1.12922i	−0.465698	−	0.0268861i
$43$	−3.07219	−	0.823192i	−0.0714464	−	0.0191440i	0.222919	−	0.974837i	$-0.428442\pi$
$43$	−3.07219	−	0.823192i	−0.0714464	−	0.0191440i	−0.294365	+	0.955693i	$0.595108\pi$
$44$	2.21130	−	36.9622i	0.0502568	−	0.840050i
$45$	−16.7790	−	33.1947i	−0.372866	−	0.737659i
$46$	−4.16655	+	9.26587i	−0.0905772	+	0.201432i
$47$	−0.0912598	+	0.0526889i	−0.00194170	+	0.00112104i	−0.500971	−	0.865464i	$-0.667024\pi$
$47$	−0.0912598	+	0.0526889i	−0.00194170	+	0.00112104i	0.499029	+	0.866585i	$0.333690\pi$
$48$	−46.1545	−	13.1820i	−0.961551	−	0.274626i
$49$	−19.1689	+	33.2014i	−0.391201	+	0.677580i
$50$	12.8504	−	9.26394i	0.257007	−	0.185279i
$51$	52.7890	−	64.9746i	1.03508	−	1.27401i
$52$	56.1291	−	28.0783i	1.07941	−	0.539968i
$53$	−1.60168	−	1.60168i	−0.0302203	−	0.0302203i	0.691835	−	0.722055i	$-0.256802\pi$
$53$	−1.60168	−	1.60168i	−0.0302203	−	0.0302203i	−0.722055	+	0.691835i	$0.756802\pi$
$54$	−19.7813	+	50.2464i	−0.366320	+	0.930489i
$55$			38.2567i			0.695577i
$56$	17.6936	−	19.2177i	0.315958	−	0.343174i
$57$	−10.0310	−	96.9411i	−0.175982	−	1.70072i
$58$	−80.6231	−	13.0752i	−1.39005	−	0.225435i
$59$	−21.6369	+	5.79758i	−0.366727	+	0.0982641i	−0.437476	−	0.899230i	$-0.644128\pi$
$59$	−21.6369	+	5.79758i	−0.366727	+	0.0982641i	0.0707495	+	0.997494i	$0.477461\pi$
$60$	48.4139	+	10.7473i	0.806899	+	0.179122i
$61$	7.11965	−	26.5709i	0.116716	−	0.435589i	−0.882694	−	0.469948i	$-0.844273\pi$
$61$	7.11965	−	26.5709i	0.116716	−	0.435589i	0.999410	+	0.0343598i	$0.0109392\pi$
$62$	−24.2645	+	53.9612i	−0.391363	+	0.870342i
$63$	−19.5938	−	21.9027i	−0.311013	−	0.347662i
$64$	52.5988	−	36.4604i	0.821857	−	0.569694i
$65$	−56.1553	+	32.4213i	−0.863928	+	0.498789i
$66$	41.4728	−	36.9455i	0.628375	−	0.559780i
$67$	−54.7625	+	14.6736i	−0.817351	+	0.219008i	−0.643188	−	0.765708i	$-0.722389\pi$
$67$	−54.7625	+	14.6736i	−0.817351	+	0.219008i	−0.174163	+	0.984717i	$0.555722\pi$
$68$	22.3994	+	109.351i	0.329403	+	1.60810i
$69$	−14.2359	+	5.43835i	−0.206318	+	0.0788167i
$70$	−17.0623	+	20.9116i	−0.243747	+	0.298737i
$71$	38.5998			0.543659			0.271829	−	0.962345i	$-0.412371\pi$
$71$	38.5998			0.543659			0.271829	+	0.962345i	$0.412371\pi$
$72$	−35.1037	−	62.8628i	−0.487552	−	0.873094i
$73$			75.9952i			1.04103i	0.853852	+	0.520515i	$0.174260\pi$
$73$			75.9952i			1.04103i	−0.853852	+	0.520515i	$0.825740\pi$
$74$	39.3732	−	48.2559i	0.532070	−	0.652107i
$75$	23.4636	+	3.75505i	0.312849	+	0.0500673i
$76$	108.455	+	71.5771i	1.42704	+	0.941803i
$77$	7.82339	+	29.1973i	0.101602	+	0.379185i
$78$	89.3773	+	29.5660i	1.14586	+	0.379051i
$79$	65.8295	+	114.020i	0.833285	+	1.44329i	0.895419	+	0.445225i	$0.146876\pi$
$79$	65.8295	+	114.020i	0.833285	+	1.44329i	−0.0621335	+	0.998068i	$0.519790\pi$
$80$	−51.9973	+	40.8482i	−0.649966	+	0.510603i
$81$	−74.2080	+	32.4680i	−0.916148	+	0.400839i
$82$	20.7874	−	46.2285i	0.253505	−	0.563762i
$83$	38.2470	+	10.2482i	0.460807	+	0.123473i	0.481752	−	0.876308i	$-0.340001\pi$
$83$	38.2470	+	10.2482i	0.460807	+	0.123473i	−0.0209448	+	0.999781i	$0.506667\pi$
$84$	39.1470	−	1.69822i	0.466035	−	0.0202169i
$85$	−29.8482	−	111.395i	−0.351155	−	1.31053i
$86$	6.27910	+	1.01833i	0.0730128	+	0.0118410i
$87$	−71.8525	−	99.2324i	−0.825891	−	1.14060i
$88$	3.05526	+	73.9935i	0.0347189	+	0.840835i
$89$	150.778			1.69414			0.847069	−	0.531482i	$-0.178365\pi$
$89$	150.778			1.69414			0.847069	+	0.531482i	$0.178365\pi$
$90$	40.0823	+	62.6665i	0.445359	+	0.696295i
$91$	−36.2273	+	36.2273i	−0.398102	+	0.398102i
$92$	6.42168	−	19.2777i	0.0698009	−	0.209540i
$93$	−82.9050	+	31.6711i	−0.891452	+	0.340549i
$94$	0.170962	−	0.123248i	0.00181874	−	0.00131115i
$95$	−116.269	−	67.1280i	−1.22389	−	0.706611i
$96$	94.4971	+	16.9203i	0.984345	+	0.176253i
$97$	−16.8043	−	29.1059i	−0.173240	−	0.300061i	0.766310	−	0.642470i	$-0.222090\pi$
$97$	−16.8043	−	29.1059i	−0.173240	−	0.300061i	−0.939551	+	0.342409i	$0.888757\pi$
$98$	31.4455	−	69.9307i	0.320872	−	0.713579i
$99$	83.1849	+	4.62844i	0.840252	+	0.0467519i
$100$	−23.7011	+	21.0253i	−0.237011	+	0.210253i
$101$	25.2121	−	94.0929i	0.249625	−	0.931613i	−0.721377	−	0.692542i	$-0.756491\pi$
$101$	25.2121	−	94.0929i	0.249625	−	0.931613i	0.971002	−	0.239070i	$-0.0768427\pi$
$102$	−91.9342	+	139.934i	−0.901316	+	1.37190i
$103$	−174.028	−	100.475i	−1.68959	−	0.975488i	−0.954824	−	0.297173i	$-0.903956\pi$
$103$	−174.028	−	100.475i	−1.68959	−	0.975488i	−0.734771	−	0.678315i	$-0.762710\pi$
$104$	−106.022	+	67.1917i	−1.01945	+	0.646074i
$105$	−40.2688	+	4.16682i	−0.383512	+	0.0396840i
$106$	3.51008	+	2.86396i	0.0331140	+	0.0270185i
$107$	86.4419	+	86.4419i	0.807868	+	0.807868i	0.984311	−	0.176443i	$-0.0564591\pi$
$107$	86.4419	+	86.4419i	0.807868	+	0.807868i	−0.176443	+	0.984311i	$0.556459\pi$
$108$	29.2261	−	103.970i	0.270612	−	0.962688i
$109$	−12.5716	−	12.5716i	−0.115335	−	0.115335i	0.647084	−	0.762419i	$-0.275988\pi$
$109$	−12.5716	−	12.5716i	−0.115335	−	0.115335i	−0.762419	+	0.647084i	$0.775988\pi$
$110$	−7.71643	−	76.1234i	−0.0701493	−	0.692031i
$111$	92.9249	−	9.61541i	0.837161	−	0.0866253i
$112$	−31.3306	+	41.8083i	−0.279738	+	0.373289i
$113$	192.534	+	111.159i	1.70384	+	0.983711i	0.941798	+	0.336180i	$0.109135\pi$
$113$	192.534	+	111.159i	1.70384	+	0.983711i	0.762039	+	0.647531i	$0.224198\pi$
$114$	39.5128	+	190.870i	0.346604	+	1.67430i
$115$	−5.43345	+	20.2779i	−0.0472474	+	0.176330i
$116$	163.061	+	9.75531i	1.40570	+	0.0840975i
$117$	63.7026	+	126.026i	0.544466	+	1.07714i
$118$	41.8837	−	15.9002i	0.354947	−	0.134748i
$119$	−45.5599	−	78.9120i	−0.382856	−	0.663126i
$120$	−98.5019	−	11.6199i	−0.820850	−	0.0968326i
$121$	30.5765	+	17.6534i	0.252698	+	0.145895i
$122$	−8.80732	+	54.3069i	−0.0721912	+	0.445139i
$123$	71.0247	−	27.1326i	0.577436	−	0.220590i
$124$	37.3976	−	112.266i	0.301594	−	0.905374i
$125$	96.2031	−	96.2031i	0.769625	−	0.769625i
$126$	43.4056	+	39.6299i	0.344489	+	0.314523i
$127$	−20.4752			−0.161222			−0.0806109	−	0.996746i	$-0.525687\pi$
$127$	−20.4752			−0.161222			−0.0806109	+	0.996746i	$0.525687\pi$
$128$	−97.3072	+	83.1583i	−0.760213	+	0.649674i
$129$	5.59603	+	7.72843i	0.0433801	+	0.0599103i
$130$	105.199	−	75.8386i	0.809220	−	0.583374i
$131$	−27.4530	−	102.456i	−0.209565	−	0.782107i	−0.988009	−	0.154394i	$-0.950658\pi$
$131$	−27.4530	−	102.456i	−0.209565	−	0.782107i	0.778444	−	0.627714i	$-0.216009\pi$
$132$	−75.0707	+	81.8793i	−0.568718	+	0.620298i
$133$	−102.463	−	27.4550i	−0.770401	−	0.206428i
$134$	106.007	−	40.2432i	0.791096	−	0.300322i
$135$	−23.7268	+	109.031i	−0.175754	+	0.807639i
$136$	−66.6265	−	213.069i	−0.489901	−	1.56668i
$137$	−14.4562	−	25.0388i	−0.105520	−	0.182765i	0.808431	−	0.588591i	$-0.200317\pi$
$137$	−14.4562	−	25.0388i	−0.105520	−	0.182765i	−0.913950	+	0.405826i	$0.866984\pi$
$138$	27.2298	−	13.6927i	0.197317	−	0.0992221i
$139$	24.4140	+	91.1143i	0.175640	+	0.655498i	0.996442	+	0.0842848i	$0.0268605\pi$
$139$	24.4140	+	91.1143i	0.175640	+	0.655498i	−0.820801	+	0.571214i	$0.806473\pi$
$140$	29.7327	−	45.0514i	0.212376	−	0.321796i
$141$	0.312161	+	0.0499573i	0.00221391	+	0.000354307i
$142$	−76.8059	+	7.78562i	−0.540887	+	0.0548283i
$143$		−	145.244i		−	1.01569i
$144$	82.5290	+	118.004i	0.573118	+	0.819473i
$145$	−168.773			−1.16395
$146$	−15.3283	−	151.216i	−0.104989	−	1.03572i
$147$	107.440	−	41.0439i	0.730886	−	0.279210i
$148$	−68.6116	+	103.961i	−0.463592	+	0.702442i
$149$	−196.835	+	52.7418i	−1.32104	+	0.353972i	−0.849368	−	0.527801i	$-0.823017\pi$
$149$	−196.835	+	52.7418i	−1.32104	+	0.353972i	−0.471674	+	0.881773i	$0.656350\pi$
$150$	−47.4454	−	2.73916i	−0.316303	−	0.0182611i
$151$	−51.6658	+	29.8293i	−0.342157	+	0.197545i	−0.661226	−	0.750187i	$-0.729963\pi$
$151$	−51.6658	+	29.8293i	−0.342157	+	0.197545i	0.319068	+	0.947732i	$0.396630\pi$
$152$	−230.241	−	120.549i	−1.51474	−	0.793084i
$153$	−245.827	+	51.4246i	−1.60671	+	0.336108i
$154$	−21.4561	−	56.5188i	−0.139325	−	0.367005i
$155$	−31.6425	+	118.091i	−0.204145	+	0.761880i
$156$	−183.807	−	40.8030i	−1.17825	−	0.261557i
$157$	144.607	−	38.7473i	0.921063	−	0.246798i	0.233023	−	0.972471i	$-0.425138\pi$
$157$	144.607	−	38.7473i	0.921063	−	0.246798i	0.688040	+	0.725673i	$0.258471\pi$
$158$	−153.986	−	213.600i	−0.974594	−	1.35190i
$159$	0.699415	+	6.75925i	0.00439883	+	0.0425110i
$160$	95.2252	−	91.7678i	0.595157	−	0.573549i
$161$			16.5871i			0.103025i
$162$	141.111	−	79.5727i	0.871053	−	0.491190i
$163$	−80.7271	−	80.7271i	−0.495258	−	0.495258i	0.414700	−	0.909958i	$-0.363887\pi$
$163$	−80.7271	−	80.7271i	−0.495258	−	0.495258i	−0.909958	+	0.414700i	$0.863887\pi$
$164$	−32.0385	+	96.1785i	−0.195357	+	0.586454i
$165$	72.3709	−	89.0767i	0.438611	−	0.539859i
$166$	−78.1710	−	12.6775i	−0.470910	−	0.0763707i
$167$	65.8348	−	114.029i	0.394220	−	0.682810i	−0.598781	−	0.800913i	$-0.704348\pi$
$167$	65.8348	−	114.029i	0.394220	−	0.682810i	0.993001	+	0.118103i	$0.0376814\pi$
$168$	−77.5522	+	11.2751i	−0.461620	+	0.0671137i
$169$	66.8393	−	38.5897i	0.395499	−	0.228341i
$170$	81.8605	+	215.634i	0.481533	+	1.26843i
$171$	−160.029	+	244.693i	−0.935842	+	1.43095i
$172$	−12.6996	−	0.759765i	−0.0738347	−	0.00441724i
$173$	11.4239	+	3.06102i	0.0660339	+	0.0176937i	0.291685	−	0.956515i	$-0.405784\pi$
$173$	11.4239	+	3.06102i	0.0660339	+	0.0176937i	−0.225651	+	0.974208i	$0.572451\pi$
$174$	162.988	+	182.960i	0.936711	+	1.05150i
$175$	12.9319	−	22.3986i	0.0738963	−	0.127992i
$176$	−21.0039	−	146.616i	−0.119341	−	0.833047i
$177$	61.3465	+	27.4318i	0.346590	+	0.154982i
$178$	−300.019	+	30.4122i	−1.68550	+	0.170855i
$179$	−109.095	+	109.095i	−0.609467	+	0.609467i	−0.942807	−	0.333340i	$-0.891824\pi$
$179$	−109.095	+	109.095i	−0.609467	+	0.609467i	0.333340	+	0.942807i	$0.391824\pi$
$180$	−92.3957	−	116.609i	−0.513310	−	0.647830i
$181$	244.121	−	244.121i	1.34873	−	1.34873i	0.461695	−	0.887039i	$-0.347241\pi$
$181$	244.121	−	244.121i	1.34873	−	1.34873i	0.887039	−	0.461695i	$-0.152759\pi$
$182$	64.7781	−	79.3923i	0.355924	−	0.436221i
$183$	−66.8419	+	48.3991i	−0.365256	+	0.264476i
$184$	−8.88955	+	39.6540i	−0.0483128	+	0.215511i
$185$	64.3469	−	111.452i	0.347821	−	0.602444i
$186$	158.577	−	79.7412i	0.852562	−	0.428716i
$187$	249.520	+	66.8586i	1.33433	+	0.357532i
$188$	−0.315321	+	0.279722i	−0.00167724	+	0.00148788i
$189$	4.18841	+	88.0640i	0.0221609	+	0.465947i
$190$	244.893	+	110.120i	1.28891	+	0.579579i
$191$	−255.962	+	147.780i	−1.34011	+	0.773715i	−0.986824	−	0.161799i	$-0.948270\pi$
$191$	−255.962	+	147.780i	−1.34011	+	0.773715i	−0.353290	+	0.935514i	$0.614937\pi$
$192$	−191.443	−	14.6078i	−0.997102	−	0.0760825i
$193$	61.7514	−	106.957i	0.319955	−	0.554179i	−0.660523	−	0.750806i	$-0.729665\pi$
$193$	61.7514	−	106.957i	0.319955	−	0.554179i	0.980478	+	0.196627i	$0.0629987\pi$
$194$	39.3080	+	54.5256i	0.202619	+	0.281060i
$195$	192.084	+	30.7404i	0.985044	+	0.157643i
$196$	−48.4652	+	145.491i	−0.247272	+	0.742301i
$197$	12.0221	+	12.0221i	0.0610259	+	0.0610259i	0.736961	−	0.675935i	$-0.236260\pi$
$197$	12.0221	+	12.0221i	0.0610259	+	0.0610259i	−0.675935	+	0.736961i	$0.736260\pi$
$198$	−166.455	+	7.56882i	−0.840683	+	0.0382264i
$199$			316.553i			1.59072i	0.606139	+	0.795359i	$0.292717\pi$
$199$			316.553i			1.59072i	−0.606139	+	0.795359i	$0.707283\pi$
$200$	42.9198	−	46.6168i	0.214599	−	0.233084i
$201$	155.267	+	69.4293i	0.772472	+	0.345419i
$202$	−31.1885	+	192.312i	−0.154398	+	0.952038i
$203$	−128.806	+	34.5135i	−0.634512	+	0.170017i
$204$	154.706	−	296.985i	0.758364	−	1.45581i
$205$	27.1081	−	101.169i	0.132235	−	0.493506i
$206$	366.548	+	164.824i	1.77936	+	0.800118i
$207$	43.4346	+	14.2677i	0.209829	+	0.0689261i
$208$	197.411	−	155.083i	0.949092	−	0.745591i
$209$	260.437	−	150.364i	1.24611	−	0.719443i
$210$	79.2864	−	16.4134i	0.377555	−	0.0781590i
$211$	−270.344	+	72.4384i	−1.28125	+	0.343310i	−0.834331	−	0.551264i	$-0.814146\pi$
$211$	−270.344	+	72.4384i	−1.28125	+	0.343310i	−0.446919	+	0.894574i	$0.647479\pi$
$212$	−7.56204	−	4.99073i	−0.0356700	−	0.0235412i
$213$	−89.8754	−	73.0198i	−0.421950	−	0.342816i
$214$	−189.438	−	154.567i	−0.885223	−	0.722275i
$215$	13.1444			0.0611366
$216$	−37.1833	+	212.775i	−0.172145	+	0.985072i
$217$			96.5973i			0.445149i
$218$	27.5506	+	22.4792i	0.126379	+	0.103116i
$219$	143.761	−	176.947i	0.656445	−	0.807976i
$220$	30.7083	+	149.914i	0.139583	+	0.681428i
$221$	113.321	+	422.919i	0.512764	+	1.91366i
$222$	−182.963	+	37.8758i	−0.824156	+	0.170612i
$223$	118.034	+	204.441i	0.529300	+	0.916774i	0.999416	+	0.0341697i	$0.0108787\pi$
$223$	118.034	+	204.441i	0.529300	+	0.916774i	−0.470116	+	0.882605i	$0.655788\pi$
$224$	53.9089	−	89.5098i	0.240665	−	0.399597i
$225$	−47.5291	−	53.1298i	−0.211240	−	0.236132i
$226$	−405.525	−	182.351i	−1.79436	−	0.806862i
$227$	165.518	+	44.3505i	0.729155	+	0.195376i	0.604253	−	0.796793i	$-0.293472\pi$
$227$	165.518	+	44.3505i	0.729155	+	0.195376i	0.124902	+	0.992169i	$0.460138\pi$
$228$	−117.122	−	371.825i	−0.513691	−	1.63081i
$229$	−75.4049	−	281.415i	−0.329279	−	1.22889i	−0.909940	−	0.414740i	$-0.863873\pi$
$229$	−75.4049	−	281.415i	−0.329279	−	1.22889i	0.580661	−	0.814145i	$-0.302794\pi$
$230$	6.72141	−	41.4450i	0.0292235	−	0.180195i
$231$	37.0170	−	82.7823i	0.160247	−	0.358365i
$232$	−326.428	+	13.4785i	−1.40702	+	0.0580971i
$233$	−231.148			−0.992051			−0.496025	−	0.868308i	$-0.665208\pi$
$233$	−231.148			−0.992051			−0.496025	+	0.868308i	$0.665208\pi$
$234$	−152.175	−	237.918i	−0.650321	−	1.01674i
$235$	0.307942	−	0.307942i	0.00131039	−	0.00131039i
$236$	−80.1333	+	40.0863i	−0.339548	+	0.169857i
$237$	62.4167	−	390.014i	0.263361	−	1.64563i
$238$	106.572	+	147.830i	0.447781	+	0.621134i
$239$	−58.2300	−	33.6191i	−0.243640	−	0.140666i	0.373208	−	0.927748i	$-0.378258\pi$
$239$	−58.2300	−	33.6191i	−0.243640	−	0.140666i	−0.616849	+	0.787082i	$0.711591\pi$
$240$	198.343	+	3.25339i	0.826430	+	0.0135558i
$241$	−27.3230	−	47.3249i	−0.113374	−	0.196369i	0.803755	−	0.594961i	$-0.202832\pi$
$241$	−27.3230	−	47.3249i	−0.113374	−	0.196369i	−0.917128	+	0.398592i	$0.869499\pi$
$242$	−64.4019	−	28.9594i	−0.266124	−	0.119667i
$243$	234.206	+	64.7823i	0.963809	+	0.266594i
$244$	6.57108	−	109.836i	0.0269306	−	0.450150i
$245$	41.0069	−	153.040i	0.167375	−	0.624653i
$246$	−135.852	+	68.3142i	−0.552246	+	0.277700i
$247$	441.424	+	254.856i	1.78714	+	1.03181i
$248$	−51.7696	+	230.931i	−0.208749	+	0.931173i
$249$	−69.6672	−	96.2143i	−0.279788	−	0.386403i
$250$	−172.021	+	210.830i	−0.688084	+	0.843318i
$251$	−163.655	−	163.655i	−0.652013	−	0.652013i	0.301465	−	0.953477i	$-0.402524\pi$
$251$	−163.655	−	163.655i	−0.652013	−	0.652013i	−0.953477	+	0.301465i	$0.902524\pi$
$252$	−94.3620	−	70.1008i	−0.374453	−	0.278178i
$253$	−33.2509	−	33.2509i	−0.131426	−	0.131426i
$254$	40.7416	−	4.12987i	0.160400	−	0.0162593i
$255$	−141.229	+	315.836i	−0.553841	+	1.23857i
$256$	176.849	−	185.096i	0.690817	−	0.723030i
$257$	252.543	+	145.806i	0.982657	+	0.567337i	0.903071	−	0.429491i	$-0.141307\pi$
$257$	252.543	+	145.806i	0.982657	+	0.567337i	0.0795859	+	0.996828i	$0.474640\pi$
$258$	−12.6938	−	14.2493i	−0.0492009	−	0.0552300i
$259$	26.3175	−	98.2182i	0.101612	−	0.379221i
$260$	−194.028	+	172.123i	−0.746261	+	0.662010i
$261$	−20.4187	+	366.977i	−0.0782326	+	1.40604i
$262$	75.2916	+	198.330i	0.287373	+	0.756985i
$263$	−5.69485	−	9.86377i	−0.0216534	−	0.0375048i	0.854996	−	0.518635i	$-0.173560\pi$
$263$	−5.69485	−	9.86377i	−0.0216534	−	0.0375048i	−0.876649	+	0.481130i	$0.840226\pi$
$264$	132.861	−	178.066i	0.503261	−	0.674491i
$265$	8.10691	+	4.68053i	0.0305921	+	0.0176624i
$266$	209.419	+	33.9630i	0.787291	+	0.127680i
$267$	−351.071	−	285.230i	−1.31487	−	1.06828i
$268$	−202.816	+	101.458i	−0.756775	+	0.378574i
$269$	−114.765	+	114.765i	−0.426635	+	0.426635i	−0.887480	−	0.460846i	$-0.847546\pi$
$269$	−114.765	+	114.765i	−0.426635	+	0.426635i	0.460846	+	0.887480i	$0.347546\pi$
$270$	25.2200	−	221.737i	0.0934074	−	0.821246i
$271$	164.560			0.607233			0.303616	−	0.952794i	$-0.401806\pi$
$271$	164.560			0.607233			0.303616	+	0.952794i	$0.401806\pi$
$272$	175.550	+	410.526i	0.645404	+	1.50929i
$273$	152.883	−	15.8196i	0.560011	−	0.0579472i
$274$	33.8153	+	46.9065i	0.123414	+	0.171192i
$275$	18.9773	+	70.8244i	0.0690085	+	0.257543i
$276$	−51.4200	+	32.7380i	−0.186305	+	0.118616i
$277$	477.040	+	127.822i	1.72216	+	0.461453i	0.978354	−	0.206938i	$-0.0663498\pi$
$277$	477.040	+	127.822i	1.72216	+	0.461453i	0.743811	+	0.668390i	$0.233016\pi$
$278$	−66.9569	−	176.375i	−0.240852	−	0.634443i
$279$	252.948	+	83.0901i	0.906624	+	0.297814i
$280$	−50.0753	+	95.6406i	−0.178840	+	0.341573i
$281$	−75.0208	−	129.940i	−0.266978	−	0.462420i	0.701102	−	0.713061i	$-0.252692\pi$
$281$	−75.0208	−	129.940i	−0.266978	−	0.462420i	−0.968080	+	0.250642i	$0.919358\pi$
$282$	−0.631216	−	0.0364419i	−0.00223835	−	0.000129227i
$283$	−55.7905	−	208.213i	−0.197139	−	0.735735i	−0.991703	−	0.128553i	$-0.958967\pi$
$283$	−55.7905	−	208.213i	−0.197139	−	0.735735i	0.794563	−	0.607182i	$-0.207700\pi$
$284$	151.258	−	30.9837i	0.532600	−	0.109098i
$285$	143.733	+	376.249i	0.504327	+	1.32017i
$286$	29.2959	+	289.008i	0.102433	+	1.01052i
$287$		−	82.7548i		−	0.288344i
$288$	−188.018	−	218.159i	−0.652840	−	0.757496i
$289$	−489.708			−1.69449
$290$	335.824	−	34.0416i	1.15801	−	0.117385i
$291$	−15.9331	+	99.5591i	−0.0547530	+	0.342127i
$292$	61.0007	+	297.797i	0.208906	+	1.01985i
$293$	−401.167	+	107.492i	−1.36917	+	0.366868i	−0.867176	−	0.498002i	$-0.834067\pi$
$293$	−401.167	+	107.492i	−1.36917	+	0.366868i	−0.501995	+	0.864871i	$0.667400\pi$
$294$	−205.506	+	103.340i	−0.699002	+	0.351497i
$295$	80.1708	−	46.2866i	0.271765	−	0.156904i
$296$	115.554	−	220.702i	0.390387	−	0.745614i
$297$	−184.931	−	168.139i	−0.622665	−	0.566125i
$298$	381.025	−	144.648i	1.27861	−	0.485395i
$299$	20.6285	−	76.9864i	0.0689915	−	0.257480i
$300$	94.9595	−	4.11940i	0.316532	−	0.0137313i
$301$	10.0317	−	2.68798i	0.0333279	−	0.00893017i
$302$	96.7881	−	69.7754i	0.320491	−	0.231044i
$303$	−236.701	+	171.391i	−0.781190	+	0.565647i
$304$	482.448	+	193.429i	1.58700	+	0.636278i
$305$			113.683i			0.372732i
$306$	478.775	−	151.908i	1.56462	−	0.496432i
$307$	−291.216	−	291.216i	−0.948585	−	0.948585i	0.0501560	−	0.998741i	$-0.484028\pi$
$307$	−291.216	−	291.216i	−0.948585	−	0.948585i	−0.998741	+	0.0501560i	$0.984028\pi$
$308$	54.0934	+	108.134i	0.175628	+	0.351083i
$309$	215.135	+	563.158i	0.696231	+	1.82252i
$310$	39.1432	−	241.361i	0.126268	−	0.778584i
$311$	180.249	−	312.201i	0.579580	−	1.00386i	−0.415948	−	0.909388i	$-0.636550\pi$
$311$	180.249	−	312.201i	0.579580	−	1.00386i	0.995527	−	0.0944728i	$-0.0301165\pi$
$312$	373.969	+	44.1158i	1.19862	+	0.141397i
$313$	236.607	−	136.605i	0.755934	−	0.436439i	−0.0719001	−	0.997412i	$-0.522906\pi$
$313$	236.607	−	136.605i	0.755934	−	0.436439i	0.827834	+	0.560973i	$0.189573\pi$
$314$	−279.924	+	106.267i	−0.891477	+	0.338430i
$315$	101.644	+	66.4751i	0.322679	+	0.211032i
$316$	349.485	+	393.962i	1.10596	+	1.24672i
$317$	−545.652	−	146.207i	−1.72130	−	0.461221i	−0.743152	−	0.669123i	$-0.766670\pi$
$317$	−545.652	−	146.207i	−1.72130	−	0.461221i	−0.978150	+	0.207902i	$0.933337\pi$
$318$	−2.75505	−	13.3085i	−0.00866367	−	0.0418507i
$319$	189.021	−	327.394i	0.592543	−	1.02631i
$320$	−170.970	+	201.807i	−0.534280	+	0.630647i
$321$	−37.7471	−	364.794i	−0.117592	−	1.13643i
$322$	−3.34563	−	33.0050i	−0.0103902	−	0.102500i
$323$	−641.020	+	641.020i	−1.98458	+	1.98458i
$324$	−264.732	+	186.796i	−0.817075	+	0.576532i
$325$	−87.8772	+	87.8772i	−0.270392	+	0.270392i
$326$	176.914	+	144.348i	0.542680	+	0.442786i
$327$	5.48970	+	53.0534i	0.0167881	+	0.162243i
$328$	44.3510	−	197.838i	0.135216	−	0.603166i
$329$	0.172046	−	0.297992i	0.000522936	−	0.000905751i
$330$	−126.037	+	191.842i	−0.381930	+	0.581341i
$331$	−290.313	−	77.7891i	−0.877078	−	0.235012i	−0.207932	−	0.978143i	$-0.566673\pi$
$331$	−290.313	−	77.7891i	−0.877078	−	0.235012i	−0.669146	+	0.743131i	$0.733340\pi$
$332$	158.102	+	9.45861i	0.476211	+	0.0284898i
$333$	−234.555	−	153.399i	−0.704370	−	0.460658i
$334$	−107.998	+	240.175i	−0.323349	+	0.719086i
$335$	202.911	−	117.150i	0.605703	−	0.349703i
$336$	152.039	−	38.0776i	0.452498	−	0.113326i
$337$	32.9832	−	57.1286i	0.0978731	−	0.169521i	−0.812931	−	0.582360i	$-0.802129\pi$
$337$	32.9832	−	57.1286i	0.0978731	−	0.169521i	0.910804	+	0.412839i	$0.135463\pi$
$338$	−125.213	+	90.2674i	−0.370454	+	0.267063i
$339$	−238.012	−	623.041i	−0.702100	−	1.83788i
$340$	−206.380	−	412.557i	−0.607000	−	1.21340i
$341$	−193.641	−	193.641i	−0.567863	−	0.567863i
$342$	269.071	−	519.168i	0.786758	−	1.51804i
$343$		−	285.185i		−	0.831444i
$344$	25.4229	−	1.04974i	0.0739038	−	0.00305156i
$345$	51.0112	−	36.9364i	0.147859	−	0.107062i
$346$	−23.3487	−	3.78661i	−0.0674817	−	0.0109440i
$347$	442.617	−	118.599i	1.27555	−	0.341784i	0.443398	−	0.896325i	$-0.353773\pi$
$347$	442.617	−	118.599i	1.27555	−	0.341784i	0.832156	+	0.554542i	$0.187106\pi$
$348$	−361.217	−	331.180i	−1.03798	−	0.951667i
$349$	15.0662	−	56.2276i	0.0431695	−	0.161111i	−0.940976	−	0.338473i	$-0.890090\pi$
$349$	15.0662	−	56.2276i	0.0431695	−	0.161111i	0.984146	+	0.177362i	$0.0567564\pi$
$350$	−21.2140	+	47.1772i	−0.0606115	+	0.134792i
$351$	90.0806	−	413.945i	0.256640	−	1.17933i
$352$	71.3664	+	287.501i	0.202745	+	0.816764i
$353$	−297.894	+	171.989i	−0.843891	+	0.487221i	−0.858585	−	0.512671i	$-0.828656\pi$
$353$	−297.894	+	171.989i	−0.843891	+	0.487221i	0.0146940	+	0.999892i	$0.495323\pi$
$354$	−127.601	−	42.2102i	−0.360453	−	0.119238i
$355$	−154.086	+	41.2872i	−0.434045	+	0.116302i
$356$	590.845	−	121.028i	1.65968	−	0.339968i
$357$	−43.1979	+	269.924i	−0.121002	+	0.756091i
$358$	195.072	−	239.081i	0.544894	−	0.667824i
$359$	−118.607			−0.330382			−0.165191	−	0.986262i	$-0.552824\pi$
$359$	−118.607			−0.330382			−0.165191	+	0.986262i	$0.552824\pi$
$360$	207.370	+	213.393i	0.576027	+	0.592759i
$361$			694.356i			1.92342i
$362$	−436.513	+	534.992i	−1.20584	+	1.47788i
$363$	−37.7990	−	98.9460i	−0.104129	−	0.272578i
$364$	−112.882	+	171.041i	−0.310116	+	0.469892i
$365$	−81.2863	−	303.364i	−0.222702	−	0.831135i
$366$	123.240	−	109.787i	0.336722	−	0.299964i
$367$	46.8771	+	81.1935i	0.127730	+	0.221236i	0.922797	−	0.385287i	$-0.125897\pi$
$367$	46.8771	+	81.1935i	0.127730	+	0.221236i	−0.795066	+	0.606522i	$0.792564\pi$
$368$	9.69020	−	80.6967i	0.0263321	−	0.219285i
$369$	−216.700	−	71.1832i	−0.587264	−	0.192908i
$370$	−105.558	+	234.747i	−0.285291	+	0.634451i
$371$	7.14429	+	1.91431i	0.0192568	+	0.00515985i
$372$	−299.452	+	190.654i	−0.804979	+	0.512512i
$373$	67.8270	+	253.134i	0.181842	+	0.678643i	0.995285	+	0.0969980i	$0.0309240\pi$
$373$	67.8270	+	253.134i	0.181842	+	0.678643i	−0.813443	+	0.581645i	$0.802409\pi$
$374$	−509.980	−	82.7070i	−1.36358	−	0.221142i
$375$	−405.988	+	42.0096i	−1.08263	+	0.112026i
$376$	0.571006	−	0.620192i	0.00151863	−	0.00164945i
$377$	640.756			1.69962
$378$	−26.0967	−	174.385i	−0.0690389	−	0.461336i
$379$	241.294	−	241.294i	0.636660	−	0.636660i	−0.313070	−	0.949730i	$-0.601357\pi$
$379$	241.294	−	241.294i	0.636660	−	0.636660i	0.949730	+	0.313070i	$0.101357\pi$
$380$	−509.499	−	169.722i	−1.34079	−	0.446637i
$381$	47.6742	+	38.7332i	0.125129	+	0.101662i
$382$	479.506	−	345.680i	1.25525	−	0.904921i
$383$	−600.753	−	346.845i	−1.56855	−	0.905601i	−0.996339	−	0.0854926i	$-0.972754\pi$
$383$	−600.753	−	346.845i	−1.56855	−	0.905601i	−0.572208	−	0.820108i	$-0.693913\pi$
$384$	383.881	−	9.54763i	0.999691	−	0.0248636i
$385$	−62.4602	−	108.184i	−0.162234	−	0.280998i
$386$	−101.300	+	225.278i	−0.262435	+	0.583621i
$387$	1.59025	−	28.5809i	0.00410918	−	0.0738525i
$388$	−89.2131	−	100.567i	−0.229931	−	0.259193i
$389$	−130.183	+	485.848i	−0.334660	+	1.24897i	0.569578	+	0.821938i	$0.307107\pi$
$389$	−130.183	+	485.848i	−0.334660	+	1.24897i	−0.904237	+	0.427030i	$0.859560\pi$
$390$	−388.409	−	22.4240i	−0.995920	−	0.0574974i
$391$	122.762	+	70.8765i	0.313968	+	0.181270i
$392$	67.0906	−	299.274i	0.171149	−	0.763454i
$393$	−129.896	+	290.491i	−0.330525	+	0.739163i
$394$	−26.3465	−	21.4967i	−0.0668692	−	0.0545603i
$395$	−384.743	−	384.743i	−0.974032	−	0.974032i
$396$	329.686	−	48.6347i	0.832542	−	0.122815i
$397$	−66.3729	−	66.3729i	−0.167186	−	0.167186i	0.618555	−	0.785741i	$-0.287718\pi$
$397$	−66.3729	−	66.3729i	−0.167186	−	0.167186i	−0.785741	+	0.618555i	$0.787718\pi$
$398$	−63.8490	−	629.878i	−0.160425	−	1.58261i
$399$	186.638	+	257.757i	0.467764	+	0.646008i
$400$	−75.9993	+	101.415i	−0.189998	+	0.253538i
$401$	−169.181	−	97.6769i	−0.421899	−	0.243583i	0.273991	−	0.961732i	$-0.411656\pi$
$401$	−169.181	−	97.6769i	−0.421899	−	0.243583i	−0.695889	+	0.718149i	$0.744990\pi$
$402$	−322.954	−	106.833i	−0.803369	−	0.265754i
$403$	120.133	−	448.342i	0.298096	−	1.11251i
$404$	23.2695	−	388.953i	0.0575978	−	0.962755i
$405$	261.502	−	208.983i	0.645683	−	0.516008i
$406$	249.337	−	94.6553i	0.614131	−	0.233141i
$407$	144.134	+	249.648i	0.354138	+	0.613385i
$408$	−247.933	+	622.146i	−0.607678	+	1.52487i
$409$	−223.887	−	129.261i	−0.547401	−	0.316042i	0.200672	−	0.979658i	$-0.435687\pi$
$409$	−223.887	−	129.261i	−0.547401	−	0.316042i	−0.748073	+	0.663616i	$0.769021\pi$
$410$	−33.5339	+	206.774i	−0.0817900	+	0.504326i
$411$	−13.7067	+	85.6472i	−0.0333497	+	0.208387i
$412$	−762.604	−	254.035i	−1.85098	−	0.616589i
$413$	51.7203	−	51.7203i	0.125231	−	0.125231i
$414$	−89.3042	−	19.6291i	−0.215711	−	0.0474133i
$415$	−163.639			−0.394312
$416$	−361.529	+	348.403i	−0.869060	+	0.837507i
$417$	115.517	−	258.334i	0.277019	−	0.619506i
$418$	−487.891	+	351.725i	−1.16720	+	0.841446i
$419$	137.927	+	514.750i	0.329181	+	1.22852i	0.910041	+	0.414517i	$0.136050\pi$
$419$	137.927	+	514.750i	0.329181	+	1.22852i	−0.580860	+	0.814003i	$0.697284\pi$
$420$	−154.454	+	48.6516i	−0.367747	+	0.115837i
$421$	66.8934	+	17.9240i	0.158892	+	0.0425749i	0.337388	−	0.941366i	$-0.390457\pi$
$421$	66.8934	+	17.9240i	0.158892	+	0.0425749i	−0.178496	+	0.983941i	$0.557123\pi$
$422$	523.320	−	198.667i	1.24009	−	0.470774i
$423$	−0.632328	−	0.706840i	−0.00149487	−	0.00167102i
$424$	16.0536	+	8.40531i	0.0378623	+	0.0198238i
$425$	−110.515	−	191.418i	−0.260036	−	0.450396i
$426$	193.563	+	127.167i	0.454372	+	0.298514i
$427$	23.2479	+	86.7624i	0.0544447	+	0.203191i
$428$	408.120	+	269.348i	0.953552	+	0.629318i
$429$	−274.761	+	338.186i	−0.640469	+	0.788312i
$430$	−26.1547	+	2.65123i	−0.0608249	+	0.00616566i
$431$			244.536i			0.567368i	0.958918	+	0.283684i	$0.0915567\pi$
$431$			244.536i			0.567368i	−0.958918	+	0.283684i	$0.908443\pi$
$432$	31.0704	−	430.881i	0.0719222	−	0.997410i
$433$	669.665			1.54657			0.773285	−	0.634058i	$-0.218612\pi$
$433$	669.665			1.54657			0.773285	+	0.634058i	$0.218612\pi$
$434$	−19.4838	−	192.210i	−0.0448935	−	0.442879i
$435$	392.969	+	319.270i	0.903376	+	0.733953i
$436$	−59.3544	−	39.1723i	−0.136134	−	0.0898447i
$437$	159.400	−	42.7111i	0.364759	−	0.0977370i
$438$	−250.367	+	381.086i	−0.571613	+	0.870059i
$439$	213.398	−	123.205i	0.486099	−	0.280650i	−0.236855	−	0.971545i	$-0.576117\pi$
$439$	213.398	−	123.205i	0.486099	−	0.280650i	0.722955	+	0.690895i	$0.242783\pi$
$440$	−91.3414	−	292.106i	−0.207594	−	0.663877i
$441$	−327.807	−	107.680i	−0.743326	−	0.244173i
$442$	−310.789	−	818.668i	−0.703143	−	1.85219i
$443$	2.08615	−	7.78561i	0.00470914	−	0.0175747i	−0.963531	−	0.267596i	$-0.913771\pi$
$443$	2.08615	−	7.78561i	0.00470914	−	0.0175747i	0.968240	+	0.250021i	$0.0804375\pi$
$444$	356.420	−	112.269i	0.802748	−	0.252859i
$445$	−601.890	+	161.276i	−1.35256	+	0.362418i
$446$	−276.100	−	382.989i	−0.619058	−	0.858720i
$447$	558.082	+	249.553i	1.24851	+	0.558283i
$448$	−89.2140	+	188.980i	−0.199138	+	0.421831i
$449$		−	374.634i		−	0.834374i	−0.908821	−	0.417187i	$-0.863016\pi$
$449$		−	374.634i		−	0.834374i	0.908821	−	0.417187i	$-0.136984\pi$
$450$	105.290	+	96.1311i	0.233977	+	0.213625i
$451$	165.892	+	165.892i	0.367832	+	0.367832i
$452$	843.695	+	281.048i	1.86658	+	0.621787i
$453$	176.727	+	28.2828i	0.390125	+	0.0624344i
$454$	−338.294	−	54.8635i	−0.745141	−	0.120845i
$455$	105.866	−	183.365i	0.232672	−	0.403000i
$456$	308.046	+	716.235i	0.675540	+	1.57069i
$457$	370.182	−	213.725i	0.810026	−	0.467669i	−0.0369392	−	0.999318i	$-0.511761\pi$
$457$	370.182	−	213.725i	0.810026	−	0.467669i	0.846965	+	0.531649i	$0.178427\pi$
$458$	206.803	+	544.751i	0.451534	+	1.18941i
$459$	669.662	+	345.298i	1.45896	+	0.752284i
$460$	−5.01480	+	83.8230i	−0.0109017	+	0.182224i
$461$	138.197	+	37.0296i	0.299776	+	0.0803246i	0.405572	−	0.914063i	$-0.367072\pi$
$461$	138.197	+	37.0296i	0.299776	+	0.0803246i	−0.105796	+	0.994388i	$0.533739\pi$
$462$	−56.9593	+	172.187i	−0.123289	+	0.372699i
$463$	396.157	−	686.163i	0.855630	−	1.48199i	−0.0204297	−	0.999791i	$-0.506503\pi$
$463$	396.157	−	686.163i	0.855630	−	1.48199i	0.876059	−	0.482203i	$-0.160163\pi$
$464$	646.809	−	92.6605i	1.39398	−	0.199699i
$465$	297.071	−	215.104i	0.638863	−	0.462590i
$466$	459.939	−	46.6228i	0.986993	−	0.100049i
$467$	99.2244	−	99.2244i	0.212472	−	0.212472i	−0.592845	−	0.805317i	$-0.701995\pi$
$467$	99.2244	−	99.2244i	0.212472	−	0.212472i	0.805317	+	0.592845i	$0.201995\pi$
$468$	350.787	+	442.716i	0.749544	+	0.945973i
$469$	130.903	−	130.903i	0.279111	−	0.279111i
$470$	−0.550631	+	0.674856i	−0.00117156	+	0.00143586i
$471$	−410.000	−	183.336i	−0.870489	−	0.389249i
$472$	151.364	−	95.9269i	0.320687	−	0.203235i
$473$	−14.7214	+	25.4982i	−0.0311234	+	0.0539073i
$474$	−45.5306	+	788.641i	−0.0960560	+	1.66380i
$475$	−248.547	−	66.5980i	−0.523257	−	0.140206i
$476$	−241.874	−	272.657i	−0.508139	−	0.572808i
$477$	11.1581	−	17.0613i	0.0233922	−	0.0357679i
$478$	122.647	+	55.1504i	0.256584	+	0.115377i
$479$	740.052	−	427.269i	1.54499	−	0.892003i	0.546482	−	0.837471i	$-0.315967\pi$
$479$	740.052	−	427.269i	1.54499	−	0.892003i	0.998512	−	0.0545314i	$-0.0173665\pi$
$480$	−395.320	+	33.5324i	−0.823584	+	0.0698593i
$481$	−244.298	+	423.136i	−0.507895	+	0.879700i
$482$	63.9129	+	88.6561i	0.132599	+	0.183934i
$483$	31.3780	−	38.6212i	0.0649649	−	0.0799611i
$484$	133.988	+	44.6335i	0.276835	+	0.0922180i
$485$	98.2134	+	98.2134i	0.202502	+	0.202502i
$486$	−479.090	−	81.6645i	−0.985781	−	0.168034i
$487$			742.172i			1.52397i	0.647597	+	0.761983i	$0.275774\pi$
$487$			742.172i			1.52397i	−0.647597	+	0.761983i	$0.724226\pi$
$488$	9.07899	+	219.878i	0.0186045	+	0.450570i
$489$	35.2516	+	340.677i	0.0720892	+	0.696681i
$490$	−50.7274	+	312.790i	−0.103525	+	0.638348i
$491$	150.701	−	40.3803i	0.306927	−	0.0822409i	−0.102068	−	0.994777i	$-0.532546\pi$
$491$	150.701	−	40.3803i	0.306927	−	0.0822409i	0.408995	+	0.912537i	$0.365879\pi$
$492$	256.541	−	163.333i	0.521424	−	0.331979i
$493$	−294.952	+	1100.77i	−0.598279	+	2.23281i
$494$	−929.752	−	418.078i	−1.88209	−	0.846312i
$495$	−337.016	+	70.5003i	−0.680840	+	0.142425i
$496$	56.4323	−	469.949i	0.113775	−	0.947478i
$497$	−109.154	+	63.0202i	−0.219626	+	0.126801i
$498$	158.030	+	177.396i	0.317330	+	0.356216i
$499$	−742.924	+	199.066i	−1.48883	+	0.398929i	−0.909340	−	0.416053i	$-0.863413\pi$
$499$	−742.924	+	199.066i	−1.48883	+	0.398929i	−0.579485	+	0.814983i	$0.696746\pi$
$500$	299.763	−	454.206i	0.599527	−	0.908412i
$501$	−369.000	+	140.964i	−0.736527	+	0.281365i
$502$	358.651	+	292.632i	0.714444	+	0.582932i
$503$	342.754			0.681419			0.340710	−	0.940169i	$-0.389333\pi$
$503$	342.754			0.681419			0.340710	+	0.940169i	$0.389333\pi$
$504$	201.901	+	120.454i	0.400598	+	0.238996i
$505$			402.576i			0.797179i
$506$	72.8694	+	59.4560i	0.144011	+	0.117502i
$507$	−228.629	−	36.5890i	−0.450944	−	0.0721677i
$508$	−80.2347	+	16.4352i	−0.157942	+	0.0323528i
$509$	−0.0101863	−	0.0380156i	−2.00123e−5	−	7.46869e-5i	0.965916	−	0.258856i	$-0.0833456\pi$
$509$	−0.0101863	−	0.0380156i	−2.00123e−5	−	7.46869e-5i	−0.965936	+	0.258782i	$0.916679\pi$
$510$	217.314	−	656.937i	0.426106	−	1.28811i
$511$	−124.074	−	214.903i	−0.242807	−	0.420553i
$512$	−314.561	+	403.975i	−0.614377	+	0.789013i
$513$	835.499	−	267.011i	1.62865	−	0.520490i
$514$	−531.920	−	239.186i	−1.03486	−	0.465343i
$515$	802.172	+	214.941i	1.55762	+	0.417362i
$516$	28.1323	+	25.7930i	0.0545200	+	0.0499865i
$517$	0.252475	+	0.942250i	0.000488347	+	0.00182253i
$518$	−32.5559	+	200.743i	−0.0628493	+	0.387535i
$519$	−20.8087	−	28.7380i	−0.0400938	−	0.0553718i
$520$	351.360	−	381.626i	0.675692	−	0.733895i
$521$	347.290			0.666584			0.333292	−	0.942824i	$-0.391840\pi$
$521$	347.290			0.666584			0.333292	+	0.942824i	$0.391840\pi$
$522$	−33.3904	−	734.330i	−0.0639663	−	1.40676i
$523$	−164.351	+	164.351i	−0.314247	+	0.314247i	−0.846553	−	0.532305i	$-0.821326\pi$
$523$	−164.351	+	164.351i	−0.314247	+	0.314247i	0.532305	+	0.846553i	$0.321326\pi$
$524$	−189.819	−	379.451i	−0.362250	−	0.724144i
$525$	−72.4823	+	27.6894i	−0.138061	+	0.0527417i
$526$	13.3212	+	18.4783i	0.0253254	+	0.0351299i
$527$	714.921	+	412.760i	1.35659	+	0.783225i
$528$	−228.451	+	381.114i	−0.432672	+	0.721806i
$529$	251.598	+	435.780i	0.475610	+	0.823781i
$530$	−17.0752	−	7.67815i	−0.0322174	−	0.0144871i
$531$	−90.9456	−	179.922i	−0.171272	−	0.338836i
$532$	−423.554	−	25.3395i	−0.796154	−	0.0476307i
$533$	−102.918	+	384.094i	−0.193091	+	0.720627i
$534$	756.094	+	496.740i	1.41591	+	0.930224i
$535$	−437.527	−	252.606i	−0.817807	−	0.472161i
$536$	383.099	−	242.789i	0.714738	−	0.452965i
$537$	460.391	−	47.6390i	0.857338	−	0.0887132i
$538$	205.211	−	251.507i	0.381433	−	0.467486i
$539$	250.949	+	250.949i	0.465582	+	0.465582i
$540$	−5.45833	+	446.299i	−0.0101080	+	0.826479i
$541$	−470.251	−	470.251i	−0.869226	−	0.869226i	0.123161	−	0.992387i	$-0.460697\pi$
$541$	−470.251	−	470.251i	−0.869226	−	0.869226i	−0.992387	+	0.123161i	$0.960697\pi$
$542$	−327.442	+	33.1919i	−0.604137	+	0.0612397i
$543$	−1030.22	+	106.602i	−1.89727	+	0.196320i
$544$	−432.113	−	781.457i	−0.794326	−	1.43650i
$545$	63.6311	+	36.7374i	0.116754	+	0.0674082i
$546$	−301.016	+	62.3146i	−0.551312	+	0.114129i
$547$	−67.0205	+	250.124i	−0.122524	+	0.457265i	−0.999739	−	0.0228319i	$-0.992732\pi$
$547$	−67.0205	+	250.124i	−0.122524	+	0.457265i	0.877216	+	0.480097i	$0.159398\pi$
$548$	−76.7469	−	86.5141i	−0.140049	−	0.157873i
$549$	247.192	+	13.7538i	0.450258	+	0.0250525i
$550$	−52.0465	−	137.099i	−0.0946300	−	0.249271i
$551$	663.341	+	1148.94i	1.20389	+	2.08519i
$552$	95.7125	−	75.5136i	0.173392	−	0.136800i
$553$	−372.312	−	214.954i	−0.673258	−	0.388706i
$554$	−974.997	−	158.122i	−1.75992	−	0.285419i
$555$	−360.661	+	137.778i	−0.649839	+	0.248249i
$556$	168.806	+	337.447i	0.303608	+	0.606918i
$557$	500.873	−	500.873i	0.899233	−	0.899233i	−0.0961352	−	0.995368i	$-0.530648\pi$
$557$	500.873	−	500.873i	0.899233	−	0.899233i	0.995368	+	0.0961352i	$0.0306481\pi$
$558$	−520.076	−	114.313i	−0.932036	−	0.204862i
$559$	−49.9035			−0.0892728
$560$	80.3491	−	200.406i	0.143481	−	0.357868i
$561$	−454.502	−	627.693i	−0.810164	−	1.11888i
$562$	175.486	+	243.423i	0.312252	+	0.433137i
$563$	−128.811	−	480.730i	−0.228794	−	0.853872i	−0.980849	−	0.194771i	$-0.937604\pi$
$563$	−128.811	−	480.730i	−0.228794	−	0.853872i	0.752055	−	0.659101i	$-0.229063\pi$
$564$	1.26335	−	0.0548047i	0.00223997	−	9.71714e-5i
$565$	−887.471	−	237.797i	−1.57075	−	0.420880i
$566$	153.009	+	403.050i	0.270334	+	0.712102i
$567$	156.840	−	212.971i	0.276613	−	0.375610i
$568$	−294.725	+	92.1604i	−0.518882	+	0.162254i
$569$	−75.7994	−	131.288i	−0.133215	−	0.230735i	0.791699	−	0.610911i	$-0.209197\pi$
$569$	−75.7994	−	131.288i	−0.133215	−	0.230735i	−0.924914	+	0.380176i	$0.875863\pi$
$570$	−361.890	−	719.670i	−0.634895	−	1.26258i
$571$	40.7447	+	152.061i	0.0713568	+	0.266307i	0.992383	−	0.123194i	$-0.0393139\pi$
$571$	40.7447	+	152.061i	0.0713568	+	0.266307i	−0.921026	+	0.389502i	$0.872647\pi$
$572$	−116.586	−	569.159i	−0.203822	−	0.995034i
$573$	875.536	+	140.118i	1.52799	+	0.244534i
$574$	16.6917	+	164.666i	0.0290797	+	0.286874i
$575$			40.2356i			0.0699749i
$576$	418.122	+	396.170i	0.725906	+	0.687794i
$577$	−407.893			−0.706921			−0.353460	−	0.935450i	$-0.614995\pi$
$577$	−407.893			−0.706921			−0.353460	+	0.935450i	$0.614995\pi$
$578$	974.423	−	98.7747i	1.68585	−	0.170891i
$579$	−346.113	+	132.221i	−0.597777	+	0.228360i
$580$	−661.358	+	135.472i	−1.14027	+	0.233573i
$581$	−124.888	+	33.4637i	−0.214954	+	0.0575968i
$582$	11.6226	−	201.317i	0.0199701	−	0.345905i
$583$	−18.1591	+	10.4842i	−0.0311477	+	0.0179831i
$584$	−181.445	−	580.254i	−0.310694	−	0.993586i
$585$	−389.094	−	434.943i	−0.665117	−	0.743493i
$586$	776.562	−	294.804i	1.32519	−	0.503079i
$587$	−40.4388	+	150.920i	−0.0688906	+	0.257103i	−0.991779	−	0.127965i	$-0.959155\pi$
$587$	−40.4388	+	150.920i	−0.0688906	+	0.257103i	0.922888	+	0.385068i	$0.125822\pi$
$588$	388.074	−	247.078i	0.659989	−	0.420200i
$589$	928.289	−	248.734i	1.57604	−	0.422299i
$590$	−150.188	+	108.272i	−0.254556	+	0.183511i
$591$	−5.24977	−	50.7346i	−0.00888285	−	0.0858453i
$592$	−185.415	+	462.461i	−0.313201	+	0.781183i
$593$		−	99.9702i		−	0.168584i	−0.996441	−	0.0842919i	$-0.973137\pi$
$593$		−	99.9702i		−	0.168584i	0.996441	−	0.0842919i	$-0.0268628\pi$
$594$	401.891	+	297.263i	0.676584	+	0.500442i
$595$	266.276	+	266.276i	0.447523	+	0.447523i
$596$	−728.989	+	364.674i	−1.22314	+	0.611869i
$597$	598.828	−	737.059i	1.00306	−	1.23460i
$598$	−25.5183	+	157.349i	−0.0426728	+	0.263125i
$599$	346.084	−	599.435i	0.577770	−	1.00073i	−0.417965	−	0.908463i	$-0.637256\pi$
$599$	346.084	−	599.435i	0.577770	−	1.00073i	0.995735	−	0.0922635i	$-0.0294102\pi$
$600$	−188.120	+	27.3502i	−0.313533	+	0.0455837i
$601$	−757.737	+	437.479i	−1.26079	+	0.727919i	−0.973228	−	0.229842i	$-0.926179\pi$
$601$	−757.737	+	437.479i	−1.26079	+	0.727919i	−0.287565	+	0.957761i	$0.592846\pi$
$602$	−19.4189	+	7.37196i	−0.0322573	+	0.0122458i
$603$	−230.182	−	455.379i	−0.381727	−	0.755190i
$604$	−178.516	+	158.362i	−0.295556	+	0.262188i
$605$	−140.940	−	37.7649i	−0.232959	−	0.0624213i
$606$	436.418	−	388.777i	0.720162	−	0.641546i
$607$	−123.138	+	213.281i	−0.202863	+	0.351368i	−0.949450	−	0.313919i	$-0.898358\pi$
$607$	−123.138	+	213.281i	−0.202863	+	0.351368i	0.746587	+	0.665288i	$0.231691\pi$
$608$	−998.992	−	287.575i	−1.64308	−	0.472984i
$609$	365.200	+	163.303i	0.599672	+	0.268150i
$610$	−22.9301	−	226.208i	−0.0375903	−	0.370832i
$611$	−1.16912	+	1.16912i	−0.00191346	+	0.00191346i
$612$	−922.028	+	398.837i	−1.50658	+	0.651695i
$613$	791.802	−	791.802i	1.29168	−	1.29168i	0.357938	−	0.933745i	$-0.383480\pi$
$613$	791.802	−	791.802i	1.29168	−	1.29168i	0.933745	−	0.357938i	$-0.116520\pi$
$614$	638.200	+	520.723i	1.03941	+	0.848084i
$615$	−254.501	+	184.280i	−0.413823	+	0.299642i
$616$	−129.446	−	204.254i	−0.210139	−	0.331581i
$617$	175.404	−	303.809i	0.284286	−	0.492398i	−0.688150	−	0.725569i	$-0.741577\pi$
$617$	175.404	−	303.809i	0.284286	−	0.492398i	0.972436	+	0.233171i	$0.0749102\pi$
$618$	−541.667	−	1077.18i	−0.876483	−	1.74301i
$619$	−838.498	−	224.675i	−1.35460	−	0.362964i	−0.492770	−	0.870160i	$-0.664016\pi$
$619$	−838.498	−	224.675i	−1.35460	−	0.362964i	−0.861831	+	0.507195i	$0.830682\pi$
$620$	−29.2044	+	488.156i	−0.0471039	+	0.787348i
$621$	−74.1424	−	115.387i	−0.119392	−	0.185808i
$622$	−295.689	+	657.575i	−0.475385	+	1.05719i
$623$	−426.378	+	246.169i	−0.684395	+	0.395135i
$624$	−753.024	−	12.3517i	−1.20677	−	0.0197944i
$625$	−182.122	+	315.444i	−0.291395	+	0.504711i
$626$	−443.248	+	319.542i	−0.708065	+	0.510450i
$627$	−890.846	−	142.568i	−1.42081	−	0.227381i
$628$	535.559	−	267.911i	0.852801	−	0.426610i
$629$	−614.463	−	614.463i	−0.976889	−	0.976889i
$630$	−215.659	−	111.771i	−0.342317	−	0.177414i
$631$		−	345.555i		−	0.547631i	−0.961782	−	0.273815i	$-0.911714\pi$
$631$		−	345.555i		−	0.547631i	0.961782	−	0.273815i	$-0.0882857\pi$
$632$	−774.869	−	713.416i	−1.22606	−	1.12882i
$633$	766.499	+	342.749i	1.21090	+	0.541467i
$634$	1115.23	+	180.865i	1.75904	+	0.285276i
$635$	81.7346	−	21.9007i	0.128716	−	0.0344893i
$636$	8.16634	+	25.9256i	0.0128402	+	0.0407635i
$637$	−155.686	+	581.026i	−0.244404	+	0.912129i
$638$	−310.079	+	689.576i	−0.486018	+	1.08084i
$639$	71.1325	+	340.038i	0.111318	+	0.532140i
$640$	299.491	−	436.041i	0.467955	−	0.681314i
$641$	−149.850	+	86.5157i	−0.233775	+	0.134970i	−0.612312	−	0.790616i	$-0.709760\pi$
$641$	−149.850	+	86.5157i	−0.233775	+	0.134970i	0.378537	+	0.925586i	$0.376427\pi$
$642$	148.689	+	718.255i	0.231602	+	1.11878i
$643$	1169.91	−	313.476i	1.81945	−	0.487521i	0.822733	−	0.568428i	$-0.192448\pi$
$643$	1169.91	−	313.476i	1.81945	−	0.487521i	0.996722	+	0.0809064i	$0.0257815\pi$
$644$	13.3143	+	64.9987i	0.0206744	+	0.100930i
$645$	−30.6052	−	24.8654i	−0.0474500	−	0.0385510i
$646$	1146.21	−	1404.80i	1.77432	−	2.17461i
$647$	−687.033			−1.06188			−0.530938	−	0.847411i	$-0.678160\pi$
$647$	−687.033			−1.06188			−0.530938	+	0.847411i	$0.678160\pi$
$648$	489.088	−	425.085i	0.754766	−	0.655995i
$649$			207.360i			0.319506i
$650$	157.133	−	192.583i	0.241744	−	0.296282i
$651$	182.735	−	224.916i	0.280698	−	0.345494i
$652$	−381.139	−	251.541i	−0.584569	−	0.385799i
$653$	44.5469	+	166.251i	0.0682188	+	0.254596i	0.991610	−	0.129264i	$-0.0412614\pi$
$653$	44.5469	+	166.251i	0.0682188	+	0.254596i	−0.923391	+	0.383860i	$0.874595\pi$
$654$	−21.6244	−	104.458i	−0.0330648	−	0.159722i
$655$	219.179	+	379.629i	0.334624	+	0.579586i
$656$	−48.3455	+	402.605i	−0.0736975	+	0.613727i
$657$	−669.466	+	140.046i	−1.01897	+	0.213159i
$658$	−0.282232	+	0.627647i	−0.000428924	+	0.000953871i
$659$	−477.492	−	127.944i	−0.724570	−	0.194148i	−0.122360	−	0.992486i	$-0.539046\pi$
$659$	−477.492	−	127.944i	−0.724570	−	0.194148i	−0.602210	+	0.798338i	$0.705713\pi$
$660$	212.094	−	407.150i	0.321354	−	0.616895i
$661$	256.093	+	955.752i	0.387433	+	1.44592i	0.834297	+	0.551316i	$0.185874\pi$
$661$	256.093	+	955.752i	0.387433	+	1.44592i	−0.446864	+	0.894602i	$0.647459\pi$
$662$	593.356	+	96.2286i	0.896308	+	0.145360i
$663$	536.187	−	1199.09i	0.808729	−	1.80858i
$664$	−316.500	+	13.0686i	−0.476656	+	0.0196816i
$665$	438.388			0.659231
$666$	497.659	+	257.924i	0.747236	+	0.387273i
$667$	146.689	−	146.689i	0.219923	−	0.219923i
$668$	166.452	−	499.684i	0.249180	−	0.748029i
$669$	111.915	−	699.305i	0.167286	−	1.04530i
$670$	−380.123	+	274.034i	−0.567347	+	0.409005i
$671$	−220.529	−	127.323i	−0.328658	−	0.189751i
$672$	−294.848	+	106.433i	−0.438762	+	0.158383i
$673$	22.7835	+	39.4622i	0.0338536	+	0.0586362i	0.882456	−	0.470395i	$-0.155889\pi$
$673$	22.7835	+	39.4622i	0.0338536	+	0.0586362i	−0.848602	+	0.529031i	$0.822555\pi$
$674$	−54.1072	+	120.328i	−0.0802778	+	0.178527i
$675$	10.1599	+	213.618i	0.0150517	+	0.316472i
$676$	230.943	−	204.870i	0.341632	−	0.303062i
$677$	84.9183	−	316.919i	0.125433	−	0.468123i	−0.874422	−	0.485167i	$-0.838759\pi$
$677$	84.9183	−	316.919i	0.125433	−	0.468123i	0.999855	+	0.0170439i	$0.00542549\pi$
$678$	599.265	+	1191.72i	0.883871	+	1.75770i
$679$	95.0401	+	54.8714i	0.139971	+	0.0808121i
$680$	493.869	+	779.281i	0.726278	+	1.14600i
$681$	−301.493	−	416.379i	−0.442721	−	0.611422i
$682$	424.366	+	346.251i	0.622238	+	0.507699i
$683$	553.415	+	553.415i	0.810271	+	0.810271i	0.984674	−	0.174404i	$-0.0557997\pi$
$683$	553.415	+	553.415i	0.810271	+	0.810271i	−0.174404	+	0.984674i	$0.555800\pi$
$684$	−430.682	+	1087.32i	−0.629652	+	1.58964i
$685$	84.4895	+	84.4895i	0.123342	+	0.123342i
$686$	57.5222	+	567.462i	0.0838516	+	0.827205i
$687$	−356.785	+	797.889i	−0.519337	+	1.16141i
$688$	−50.3748	+	7.21660i	−0.0732192	+	0.0104892i
$689$	−30.7784	−	17.7699i	−0.0446712	−	0.0257909i
$690$	−94.0522	+	83.7851i	−0.136308	+	0.121428i
$691$	284.482	−	1061.70i	0.411696	−	1.53647i	−0.379667	−	0.925123i	$-0.623962\pi$
$691$	284.482	−	1061.70i	0.411696	−	1.53647i	0.791363	−	0.611346i	$-0.209372\pi$
$692$	47.2230	+	2.82516i	0.0682413	+	0.00408260i
$693$	−242.791	+	122.724i	−0.350348	+	0.177091i
$694$	−856.799	+	325.265i	−1.23458	+	0.468681i
$695$	−194.916	−	337.604i	−0.280454	−	0.485761i
$696$	785.550	+	586.126i	1.12866	+	0.842134i
$697$	−612.472	−	353.611i	−0.878726	−	0.507333i
$698$	−18.6375	+	114.921i	−0.0267013	+	0.164643i
$699$	538.203	+	437.266i	0.769961	+	0.625560i
$700$	32.6960	−	98.1523i	0.0467086	−	0.140218i
$701$	305.590	−	305.590i	0.435934	−	0.435934i	−0.454707	−	0.890641i	$-0.650256\pi$
$701$	305.590	−	305.590i	0.435934	−	0.435934i	0.890641	+	0.454707i	$0.150256\pi$
$702$	−95.7495	+	841.838i	−0.136395	+	1.19920i
$703$	−1011.63			−1.43902
$704$	−199.994	−	557.676i	−0.284083	−	0.792153i
$705$	−1.29955	+	0.134471i	−0.00184333	+	0.000190739i
$706$	558.059	−	402.310i	0.790452	−	0.569844i
$707$	82.3255	+	307.243i	0.116443	+	0.434573i
$708$	262.414	+	58.2528i	0.370641	+	0.0822779i
$709$	−551.544	−	147.786i	−0.777918	−	0.208442i	−0.152051	−	0.988373i	$-0.548588\pi$
$709$	−551.544	−	147.786i	−0.777918	−	0.208442i	−0.625866	+	0.779930i	$0.715255\pi$
$710$	298.273	−	113.233i	0.420103	−	0.159483i
$711$	−883.127	+	790.032i	−1.24209	+	1.11116i
$712$	−1151.25	+	359.997i	−1.61693	+	0.505614i
$713$	−75.1371	−	130.141i	−0.105382	−	0.182526i
$714$	31.5112	−	545.810i	0.0441333	−	0.764439i
$715$	155.357	+	579.799i	0.217282	+	0.810908i
$716$	−339.932	+	515.071i	−0.474766	+	0.719372i
$717$	71.9845	+	188.433i	0.100397	+	0.262808i
$718$	236.005	−	23.9232i	0.328698	−	0.0333192i
$719$		−	127.191i		−	0.176900i	−0.996081	−	0.0884500i	$-0.971809\pi$
$719$		−	127.191i		−	0.176900i	0.996081	−	0.0884500i	$-0.0281914\pi$
$720$	−455.666	−	382.784i	−0.632870	−	0.531645i
$721$	656.167			0.910079
$722$	−140.052	−	1381.63i	−0.193978	−	1.91362i
$723$	−25.9065	+	161.878i	−0.0358319	+	0.223898i
$724$	760.666	−	1152.57i	1.05064	−	1.59195i
$725$	−312.447	+	83.7200i	−0.430962	+	0.115476i
$726$	95.1700	+	189.259i	0.131088	+	0.260687i
$727$	−393.884	+	227.409i	−0.541794	+	0.312805i	−0.745806	−	0.666164i	$-0.767935\pi$
$727$	−393.884	+	227.409i	−0.541794	+	0.312805i	0.204012	+	0.978968i	$0.434602\pi$
$728$	190.114	−	363.106i	0.261146	−	0.498772i
$729$	−422.773	−	593.889i	−0.579935	−	0.814663i
$730$	222.933	+	587.240i	0.305387	+	0.804438i
$731$	22.9715	−	85.7307i	0.0314247	−	0.117279i
$732$	−223.079	+	243.312i	−0.304753	+	0.332393i
$733$	593.197	−	158.947i	0.809272	−	0.216844i	0.169621	−	0.985509i	$-0.445746\pi$
$733$	593.197	−	158.947i	0.809272	−	0.216844i	0.639651	+	0.768665i	$0.279079\pi$
$734$	−109.653	−	152.104i	−0.149391	−	0.207226i
$735$	−384.988	+	278.763i	−0.523793	+	0.379270i
$736$	−3.00498	+	162.525i	−0.00408285	+	0.220822i
$737$			524.823i			0.712107i
$738$	445.549	+	97.9319i	0.603725	+	0.132699i
$739$	−223.669	−	223.669i	−0.302664	−	0.302664i	0.539391	−	0.842055i	$-0.318654\pi$
$739$	−223.669	−	223.669i	−0.302664	−	0.302664i	−0.842055	+	0.539391i	$0.818654\pi$
$740$	162.690	−	488.391i	0.219852	−	0.659988i
$741$	−545.692	−	1428.45i	−0.736427	−	1.92774i
$742$	−14.6018	−	2.36808i	−0.0196790	−	0.00319148i
$743$	−243.358	+	421.509i	−0.327535	+	0.567307i	−0.982022	−	0.188766i	$-0.939551\pi$
$743$	−243.358	+	421.509i	−0.327535	+	0.567307i	0.654487	+	0.756073i	$0.272884\pi$
$744$	557.396	−	439.765i	0.749188	−	0.591081i
$745$	729.330	−	421.079i	0.978967	−	0.565207i
$746$	−186.020	−	490.006i	−0.249356	−	0.656844i
$747$	−19.7977	+	355.815i	−0.0265029	+	0.476325i
$748$	1031.44	+	61.7071i	1.37893	+	0.0824961i
$749$	−385.574	−	103.314i	−0.514785	−	0.137936i
$750$	799.362	−	165.479i	1.06582	−	0.220639i
$751$	32.1779	−	55.7338i	0.0428467	−	0.0742127i	−0.843807	−	0.536647i	$-0.819691\pi$
$751$	32.1779	−	55.7338i	0.0428467	−	0.0742127i	0.886653	+	0.462434i	$0.153024\pi$
$752$	−1.01110	+	1.34923i	−0.00134454	+	0.00179419i
$753$	71.4643	+	690.642i	0.0949061	+	0.917188i
$754$	−1274.98	+	129.241i	−1.69095	+	0.171408i
$755$	174.338	−	174.338i	0.230911	−	0.230911i
$756$	87.1010	+	341.728i	0.115213	+	0.452022i
$757$	176.270	−	176.270i	0.232853	−	0.232853i	−0.581029	−	0.813883i	$-0.697350\pi$
$757$	176.270	−	176.270i	0.232853	−	0.232853i	0.813883	+	0.581029i	$0.197350\pi$
$758$	−431.459	+	528.797i	−0.569206	+	0.697622i
$759$	14.5199	+	140.322i	0.0191303	+	0.184878i
$760$	1048.04	+	234.947i	1.37900	+	0.309140i
$761$	−480.465	+	832.190i	−0.631360	+	1.09355i	0.355914	+	0.934519i	$0.384170\pi$
$761$	−480.465	+	832.190i	−0.631360	+	1.09355i	−0.987274	+	0.159029i	$0.949164\pi$
$762$	−102.675	−	67.4555i	−0.134744	−	0.0885243i
$763$	56.0755	+	15.0254i	0.0734935	+	0.0196925i
$764$	−884.399	+	784.552i	−1.15759	+	1.02690i
$765$	926.309	−	468.223i	1.21086	−	0.612057i
$766$	1265.34	+	568.981i	1.65188	+	0.742795i
$767$	−304.374	+	175.730i	−0.396837	+	0.229114i
$768$	−761.922	+	96.4272i	−0.992087	+	0.125556i
$769$	−118.778	+	205.729i	−0.154457	+	0.267528i	−0.932861	−	0.360236i	$-0.882696\pi$
$769$	−118.778	+	205.729i	−0.154457	+	0.267528i	0.778404	+	0.627764i	$0.216030\pi$
$770$	146.104	+	202.667i	0.189746	+	0.263204i
$771$	−312.196	−	817.232i	−0.404923	−	1.05996i
$772$	156.128	−	468.691i	0.202238	−	0.607112i
$773$	792.351	+	792.351i	1.02503	+	1.02503i	0.999679	+	0.0253553i	$0.00807172\pi$
$773$	792.351	+	792.351i	1.02503	+	1.02503i	0.0253553	+	0.999679i	$0.491928\pi$
$774$	2.60052	+	57.1912i	0.00335984	+	0.0738904i
$775$			234.318i			0.302346i
$776$	197.801	+	182.114i	0.254898	+	0.234683i
$777$	−247.078	+	178.905i	−0.317990	+	0.230251i
$778$	161.042	−	993.001i	0.206995	−	1.27635i
$779$	−795.264	+	213.090i	−1.02088	+	0.273543i
$780$	777.380	−	33.7232i	0.996641	−	0.0432349i
$781$	92.4814	−	345.145i	0.118414	−	0.441927i
$782$	−258.567	−	116.269i	−0.330649	−	0.148682i
$783$	741.758	−	815.839i	0.947329	−	1.04194i
$784$	−73.1332	+	609.028i	−0.0932821	+	0.776822i
$785$	−535.809	+	309.350i	−0.682560	+	0.394076i
$786$	199.876	−	604.221i	0.254295	−	0.768729i
$787$	262.367	−	70.3009i	0.333376	−	0.0893277i	−0.0882483	−	0.996099i	$-0.528127\pi$
$787$	262.367	−	70.3009i	0.333376	−	0.0893277i	0.421624	+	0.906771i	$0.361460\pi$
$788$	56.7602	+	37.4602i	0.0720307	+	0.0475383i
$789$	−5.39961	+	33.7398i	−0.00684361	+	0.0427627i
$790$	843.165	+	687.959i	1.06730	+	0.870834i
$791$	−725.940			−0.917750
$792$	−646.202	+	163.272i	−0.815911	+	0.206151i
$793$		−	431.607i		−	0.544271i
$794$	145.456	+	118.681i	0.183194	+	0.149473i
$795$	−10.0218	−	26.2341i	−0.0126061	−	0.0329988i
$796$	254.094	+	1240.45i	0.319214	+	1.55836i
$797$	−116.359	−	434.259i	−0.145997	−	0.544867i	−0.999709	−	0.0241220i	$-0.992321\pi$
$797$	−116.359	−	434.259i	−0.145997	−	0.544867i	0.853712	−	0.520745i	$-0.174346\pi$
$798$	−423.362	−	475.241i	−0.530529	−	0.595541i
$799$	−1.47030	−	2.54664i	−0.00184018	−	0.00318728i
$800$	130.768	−	217.126i	0.163460	−	0.271407i
$801$	277.858	+	1328.25i	0.346888	+	1.65824i
$802$	356.339	+	160.234i	0.444313	+	0.199793i
$803$	679.522	+	182.077i	0.846229	+	0.226746i
$804$	664.164	+	147.437i	0.826075	+	0.183379i
$805$	−17.7419	−	66.2137i	−0.0220396	−	0.0822531i
$806$	−148.610	+	916.343i	−0.184379	+	1.13690i
$807$	484.320	−	50.1150i	0.600148	−	0.0621004i
$808$	32.1505	+	778.633i	0.0397903	+	0.963655i
$809$	−934.284			−1.15486			−0.577431	−	0.816439i	$-0.695945\pi$
$809$	−934.284			−1.15486			−0.577431	+	0.816439i	$0.695945\pi$
$810$	−478.185	+	468.581i	−0.590351	+	0.578494i
$811$	537.689	−	537.689i	0.662996	−	0.662996i	−0.293089	−	0.956085i	$-0.594683\pi$
$811$	537.689	−	537.689i	0.662996	−	0.662996i	0.956085	+	0.293089i	$0.0946834\pi$
$812$	−477.040	+	238.637i	−0.587487	+	0.293888i
$813$	−383.160	−	311.301i	−0.471292	−	0.382904i
$814$	−337.153	−	467.678i	−0.414192	−	0.574542i
$815$	408.601	+	235.906i	0.501351	+	0.289455i
$816$	367.850	−	1287.96i	0.450796	−	1.57838i
$817$	−51.6624	−	89.4819i	−0.0632343	−	0.109525i
$818$	471.563	+	212.046i	0.576483	+	0.259225i
$819$	−385.898	−	252.377i	−0.471182	−	0.308153i
$820$	25.0194	−	418.203i	0.0305115	−	0.510003i
$821$	300.138	−	1120.13i	0.365576	−	1.36435i	−0.501063	−	0.865411i	$-0.667057\pi$
$821$	300.138	−	1120.13i	0.365576	−	1.36435i	0.866639	−	0.498936i	$-0.166276\pi$
$822$	9.99851	−	173.186i	0.0121636	−	0.210688i
$823$	466.787	+	269.500i	0.567178	+	0.327460i	0.756021	−	0.654547i	$-0.227141\pi$
$823$	466.787	+	269.500i	0.567178	+	0.327460i	−0.188844	+	0.982007i	$0.560474\pi$
$824$	1568.67	+	351.661i	1.90373	+	0.426773i
$825$	89.7929	−	200.807i	0.108840	−	0.243402i
$826$	−92.4811	+	113.345i	−0.111963	+	0.137222i
$827$	207.573	+	207.573i	0.250995	+	0.250995i	0.821379	−	0.570383i	$-0.193205\pi$
$827$	207.573	+	207.573i	0.250995	+	0.250995i	−0.570383	+	0.821379i	$0.693205\pi$
$828$	181.657	+	21.0453i	0.219392	+	0.0254170i
$829$	380.655	+	380.655i	0.459174	+	0.459174i	0.898384	−	0.439210i	$-0.144742\pi$
$829$	380.655	+	380.655i	0.459174	+	0.459174i	−0.439210	+	0.898384i	$0.644742\pi$
$830$	325.610	−	33.0062i	0.392301	−	0.0397666i
$831$	−868.932	−	1200.04i	−1.04565	−	1.44410i
$832$	649.098	−	766.174i	0.780166	−	0.920882i
$833$	−926.498	−	534.914i	−1.11224	−	0.642153i
$834$	−177.750	+	537.334i	−0.213129	+	0.644285i
$835$	−140.837	+	525.610i	−0.168667	+	0.629473i
$836$	899.863	−	798.271i	1.07639	−	0.954869i
$837$	−431.779	−	671.972i	−0.515865	−	0.802834i
$838$	−378.273	−	996.431i	−0.451400	−	1.18906i
$839$	−521.992	−	904.116i	−0.622159	−	1.07761i	−0.989083	−	0.147361i	$-0.952922\pi$
$839$	−521.992	−	904.116i	−0.622159	−	1.07761i	0.366923	−	0.930251i	$-0.380411\pi$
$840$	297.520	−	127.961i	0.354190	−	0.152334i
$841$	715.998	+	413.381i	0.851365	+	0.491536i
$842$	−136.720	−	22.1728i	−0.162375	−	0.0263335i
$843$	−71.1315	+	444.469i	−0.0843789	+	0.527247i
$844$	−1001.23	+	500.862i	−1.18629	+	0.593438i
$845$	−225.538	+	225.538i	−0.266909	+	0.266909i
$846$	1.40078	+	1.27893i	0.00165577	+	0.00151174i
$847$	−115.288			−0.136113
$848$	−33.6389	−	13.4869i	−0.0396685	−	0.0159043i
$849$	−263.978	+	590.341i	−0.310928	+	0.695337i
$850$	258.513	+	358.594i	0.304133	+	0.421875i
$851$	40.9415	+	152.796i	0.0481099	+	0.179549i
$852$	−410.801	−	213.996i	−0.482161	−	0.251169i
$853$	−632.427	−	169.458i	−0.741415	−	0.198661i	−0.131708	−	0.991289i	$-0.542046\pi$
$853$	−632.427	−	169.458i	−0.741415	−	0.198661i	−0.609707	+	0.792627i	$0.708713\pi$
$854$	−63.7588	−	167.951i	−0.0746590	−	0.196664i
$855$	377.089	−	1147.96i	0.441039	−	1.34264i
$856$	−866.407	−	453.631i	−1.01216	−	0.529943i
$857$	−404.536	−	700.677i	−0.472038	−	0.817593i	0.527450	−	0.849586i	$-0.323148\pi$
$857$	−404.536	−	700.677i	−0.472038	−	0.817593i	−0.999488	+	0.0319926i	$0.989815\pi$
$858$	478.508	−	728.343i	0.557702	−	0.848884i
$859$	378.926	+	1414.17i	0.441124	+	1.64630i	0.725972	+	0.687724i	$0.241390\pi$
$859$	378.926	+	1414.17i	0.441124	+	1.64630i	−0.284848	+	0.958573i	$0.591943\pi$
$860$	51.5079	−	10.5509i	0.0598930	−	0.0122684i
$861$	−156.549	+	192.686i	−0.181822	+	0.223793i
$862$	−49.3231	−	486.578i	−0.0572194	−	0.564476i
$863$			1189.89i			1.37878i	0.724389	+	0.689391i	$0.242122\pi$
$863$			1189.89i			1.37878i	−0.724389	+	0.689391i	$0.757878\pi$
$864$	25.0853	+	863.636i	0.0290339	+	0.999578i
$865$	−48.8769			−0.0565051
$866$	−1332.50	+	135.072i	−1.53869	+	0.155973i
$867$	1140.23	+	926.389i	1.31515	+	1.06850i
$868$	77.5378	+	378.529i	0.0893292	+	0.436094i
$869$	1177.25	−	315.443i	1.35472	−	0.362995i
$870$	−846.327	−	556.022i	−0.972790	−	0.639105i
$871$	−770.364	+	444.770i	−0.884459	+	0.510643i
$872$	126.005	+	65.9733i	0.144501	+	0.0756574i
$873$	225.436	−	201.672i	0.258231	−	0.231010i
$874$	−308.559	+	117.138i	−0.353043	+	0.134025i
$875$	−114.981	+	429.114i	−0.131407	+	0.490416i
$876$	421.315	−	808.785i	0.480953	−	0.923271i
$877$	53.7637	−	14.4060i	0.0613042	−	0.0164264i	−0.228037	−	0.973653i	$-0.573231\pi$
$877$	53.7637	−	14.4060i	0.0613042	−	0.0164264i	0.289341	+	0.957226i	$0.406564\pi$
$878$	−399.769	+	288.197i	−0.455317	+	0.328242i
$879$	1137.42	+	508.610i	1.29399	+	0.578623i
$880$	240.669	+	562.809i	0.273488	+	0.639556i
$881$		−	128.785i		−	0.146181i	−0.997325	−	0.0730903i	$-0.976714\pi$
$881$		−	128.785i		−	0.146181i	0.997325	−	0.0730903i	$-0.0232861\pi$
$882$	673.990	+	148.143i	0.764161	+	0.167963i
$883$	830.010	+	830.010i	0.939989	+	0.939989i	0.998299	−	0.0583095i	$-0.0185710\pi$
$883$	830.010	+	830.010i	0.939989	+	0.939989i	−0.0583095	+	0.998299i	$0.518571\pi$
$884$	783.536	+	1566.30i	0.886352	+	1.77183i
$885$	−274.230	−	43.8869i	−0.309864	−	0.0495897i
$886$	−2.58066	+	15.9126i	−0.00291271	+	0.0179601i
$887$	−470.265	+	814.522i	−0.530174	+	0.918289i	0.469206	+	0.883089i	$0.344540\pi$
$887$	−470.265	+	814.522i	−0.530174	+	0.918289i	−0.999380	+	0.0352001i	$0.988793\pi$
$888$	−686.561	+	295.284i	−0.773155	+	0.332527i
$889$	57.9006	−	33.4290i	0.0651301	−	0.0376029i
$890$	1165.11	−	442.309i	1.30912	−	0.496977i
$891$	112.522	+	741.332i	0.126287	+	0.832022i
$892$	626.634	+	706.383i	0.702505	+	0.791909i
$893$	−3.30668	−	0.886022i	−0.00370289	−	0.000992186i
$894$	−1160.81	−	383.995i	−1.29844	−	0.429524i
$895$	318.803	−	552.183i	0.356205	−	0.616964i
$896$	139.401	−	394.028i	0.155581	−	0.439764i
$897$	−193.668	+	140.231i	−0.215906	+	0.156334i
$898$	75.5641	+	745.448i	0.0841471	+	0.830120i
$899$	854.264	−	854.264i	0.950238	−	0.950238i
$900$	−228.896	−	170.045i	−0.254329	−	0.188939i
$901$	44.6954	−	44.6954i	0.0496064	−	0.0496064i
$902$	−363.554	−	296.633i	−0.403053	−	0.328861i
$903$	−28.4426	−	12.7184i	−0.0314979	−	0.0140846i
$904$	−1735.47	−	389.055i	−1.91977	−	0.430371i
$905$	−713.386	+	1235.62i	−0.788272	+	1.36533i
$906$	−357.356	−	20.6312i	−0.394433	−	0.0227717i
$907$	−91.9292	−	24.6323i	−0.101355	−	0.0271580i	0.207785	−	0.978175i	$-0.433375\pi$
$907$	−91.9292	−	24.6323i	−0.101355	−	0.0271580i	−0.309140	+	0.951016i	$0.600041\pi$
$908$	684.205	+	40.9332i	0.753529	+	0.0450806i
$909$	875.355	+	48.7050i	0.962987	+	0.0535809i
$910$	−173.667	+	386.213i	−0.190843	+	0.424410i
$911$	520.832	−	300.702i	0.571714	−	0.330079i	−0.186119	−	0.982527i	$-0.559591\pi$
$911$	520.832	−	300.702i	0.571714	−	0.330079i	0.757834	+	0.652448i	$0.226258\pi$
$912$	−757.417	−	1363.03i	−0.830501	−	1.49455i
$913$	183.272	−	317.437i	0.200736	−	0.347685i
$914$	−693.480	+	499.936i	−0.758731	+	0.546976i
$915$	215.057	−	264.700i	0.235035	−	0.289289i
$916$	−521.373	−	1042.23i	−0.569185	−	1.13781i
$917$	244.909	+	244.909i	0.267076	+	0.267076i
$918$	−1402.14	−	552.004i	−1.52739	−	0.601311i
$919$		−	1799.82i		−	1.95846i	−0.202760	−	0.979229i	$-0.564991\pi$
$919$		−	1799.82i		−	1.95846i	0.202760	−	0.979229i	$-0.435009\pi$
$920$	−6.92874	−	167.803i	−0.00753124	−	0.182394i
$921$	127.167	+	1228.96i	0.138075	+	1.33438i
$922$	−282.453	−	45.8073i	−0.306348	−	0.0496826i
$923$	584.998	−	156.750i	0.633801	−	0.169826i
$924$	78.6076	−	354.107i	0.0850731	−	0.383232i
$925$	63.8389	−	238.250i	0.0690150	−	0.257567i
$926$	−649.874	+	1445.24i	−0.701808	+	1.56073i
$927$	564.415	−	1718.23i	0.608862	−	1.85354i
$928$	−1268.33	+	314.838i	−1.36674	+	0.339265i
$929$	1375.71	−	794.265i	1.48085	−	0.854968i	0.481083	−	0.876675i	$-0.340244\pi$
$929$	1375.71	−	794.265i	1.48085	−	0.854968i	0.999764	+	0.0217073i	$0.00691020\pi$
$930$	−547.727	+	487.935i	−0.588954	+	0.524661i
$931$	−1203.01	+	322.346i	−1.29217	+	0.346236i
$932$	−905.784	+	185.540i	−0.971871	+	0.199078i
$933$	−1010.29	+	385.946i	−1.08284	+	0.413661i
$934$	−177.423	+	217.451i	−0.189961	+	0.232817i
$935$	−1067.57			−1.14178
$936$	−787.293	−	810.163i	−0.841125	−	0.865558i
$937$		−	848.445i		−	0.905491i	−0.891640	−	0.452745i	$-0.850445\pi$
$937$		−	848.445i		−	0.905491i	0.891640	−	0.452745i	$-0.149555\pi$
$938$	−234.068	+	286.874i	−0.249539	+	0.305836i
$939$	−809.333	−	129.523i	−0.861909	−	0.137937i
$940$	0.959529	−	1.45389i	0.00102078	−	0.00154669i
$941$	216.954	+	809.682i	0.230557	+	0.860449i	0.980102	+	0.198496i	$0.0636056\pi$
$941$	216.954	+	809.682i	0.230557	+	0.860449i	−0.749545	+	0.661953i	$0.769728\pi$
$942$	852.799	+	282.106i	0.905307	+	0.299475i
$943$	64.3699	+	111.492i	0.0682608	+	0.118231i
$944$	−281.836	+	221.406i	−0.298555	+	0.234540i
$945$	−110.915	−	347.061i	−0.117370	−	0.367261i
$946$	24.1496	−	53.7057i	0.0255282	−	0.0567713i
$947$	−286.902	−	76.8753i	−0.302959	−	0.0811777i	0.104137	−	0.994563i	$-0.466792\pi$
$947$	−286.902	−	76.8753i	−0.302959	−	0.0811777i	−0.407096	+	0.913385i	$0.633459\pi$
$948$	−68.4730	−	1578.42i	−0.0722289	−	1.66500i
$949$	308.609	+	1151.74i	0.325194	+	1.21364i
$950$	507.993	+	82.3847i	0.534729	+	0.0867207i
$951$	993.911	+	1372.65i	1.04512	+	1.44337i
$952$	536.278	+	493.747i	0.563317	+	0.518642i
$953$	748.621			0.785541			0.392771	−	0.919637i	$-0.371517\pi$
$953$	748.621			0.785541			0.392771	+	0.919637i	$0.371517\pi$
$954$	−18.7611	+	36.1992i	−0.0196657	+	0.0379446i
$955$	863.702	−	863.702i	0.904400	−	0.904400i
$956$	−255.168	−	85.0003i	−0.266912	−	0.0889124i
$957$	−1059.45	+	404.728i	−1.10706	+	0.422913i
$958$	−1386.38	+	999.451i	−1.44716	+	1.04327i
$959$	81.7597	+	47.2040i	0.0852551	+	0.0492221i
$960$	779.846	−	146.460i	0.812339	−	0.152562i
$961$	42.9279	+	74.3533i	0.0446700	+	0.0773707i
$962$	400.757	−	891.232i	0.416587	−	0.926437i
$963$	−602.197	+	920.791i	−0.625334	+	0.956169i
$964$	−145.056	−	163.517i	−0.150473	−	0.169623i
$965$	−132.101	+	493.009i	−0.136893	+	0.510890i
$966$	−54.6462	+	83.1776i	−0.0565695	+	0.0861052i
$967$	−730.298	−	421.638i	−0.755220	−	0.436027i	0.0723569	−	0.997379i	$-0.476948\pi$
$967$	−730.298	−	421.638i	−0.755220	−	0.436027i	−0.827577	+	0.561352i	$0.810281\pi$
$968$	−275.613	−	61.7863i	−0.284724	−	0.0638289i
$969$	2705.18	−	279.918i	2.79172	−	0.288873i
$970$	−215.235	−	175.616i	−0.221892	−	0.181047i
$971$	−544.910	−	544.910i	−0.561184	−	0.561184i	0.368460	−	0.929644i	$-0.379885\pi$
$971$	−544.910	−	544.910i	−0.561184	−	0.561184i	−0.929644	+	0.368460i	$0.879885\pi$
$972$	969.766	+	65.8634i	0.997702	+	0.0677607i
$973$	−217.797	−	217.797i	−0.223841	−	0.223841i
$974$	−149.697	−	1476.78i	−0.153693	−	1.51620i
$975$	370.851	−	38.3739i	0.380360	−	0.0393579i
$976$	−62.4151	−	435.683i	−0.0639499	−	0.446397i
$977$	549.430	+	317.214i	0.562365	+	0.324681i	0.754094	−	0.656766i	$-0.228076\pi$
$977$	549.430	+	317.214i	0.562365	+	0.324681i	−0.191729	+	0.981448i	$0.561410\pi$
$978$	−138.859	−	670.770i	−0.141982	−	0.685859i
$979$	361.251	−	1348.21i	0.369000	−	1.37713i
$980$	37.8473	−	632.623i	0.0386197	−	0.645534i
$981$	87.5797	−	133.914i	0.0892760	−	0.136508i
$982$	−291.721	+	110.745i	−0.297068	+	0.112775i
$983$	−366.209	−	634.293i	−0.372542	−	0.645262i	0.617414	−	0.786639i	$-0.288181\pi$
$983$	−366.209	−	634.293i	−0.372542	−	0.645262i	−0.989956	+	0.141377i	$0.954847\pi$
$984$	−477.521	+	376.746i	−0.485285	+	0.382872i
$985$	−60.8500	−	35.1318i	−0.0617766	−	0.0356668i
$986$	364.868	−	2249.82i	0.370049	−	2.28176i
$987$	−0.964306	+	0.368381i	−0.000977008	+	0.000373233i
$988$	1934.35	+	644.361i	1.95784	+	0.652187i
$989$	−11.4244	+	11.4244i	−0.0115515	+	0.0115515i
$990$	656.375	−	208.258i	0.663005	−	0.210362i
$991$	−547.747			−0.552721			−0.276361	−	0.961054i	$-0.589128\pi$
$991$	−547.747			−0.552721			−0.276361	+	0.961054i	$0.589128\pi$
$992$	−17.5000	+	946.489i	−0.0176411	+	0.954122i
$993$	528.807	+	730.313i	0.532535	+	0.735461i
$994$	204.484	−	147.414i	0.205718	−	0.148304i
$995$	−338.592	−	1263.64i	−0.340294	−	1.26999i
$996$	−350.230	−	321.107i	−0.351637	−	0.322397i
$997$	−33.2929	−	8.92081i	−0.0333931	−	0.00894765i	0.242084	−	0.970255i	$-0.422169\pi$
$997$	−33.2929	−	8.92081i	−0.0333931	−	0.00894765i	−0.275477	+	0.961308i	$0.588836\pi$
$998$	1438.12	−	545.950i	1.44100	−	0.547044i
$999$	255.949	+	800.885i	0.256205	+	0.801686i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.77.1	yes	184
3.2	odd	2		432.3.x.a.125.46		184
9.2	odd	6	inner	144.3.w.a.29.14	yes	184
9.7	even	3		432.3.x.a.413.33		184
16.5	even	4	inner	144.3.w.a.5.14	✓	184
48.5	odd	4		432.3.x.a.341.33		184
144.101	odd	12	inner	144.3.w.a.101.1	yes	184
144.133	even	12		432.3.x.a.197.46		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.14	✓	184	16.5	even	4	inner
144.3.w.a.29.14	yes	184	9.2	odd	6	inner
144.3.w.a.77.1	yes	184	1.1	even	1	trivial
144.3.w.a.101.1	yes	184	144.101	odd	12	inner
432.3.x.a.125.46		184	3.2	odd	2
432.3.x.a.197.46		184	144.133	even	12
432.3.x.a.341.33		184	48.5	odd	4
432.3.x.a.413.33		184	9.7	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:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.98980 + 0.201701i) q^{2} +(-2.32839 - 1.89172i) q^{3} +(3.91863 - 0.802691i) q^{4} +(-3.99189 + 1.06962i) q^{5} +(5.01460 + 3.29450i) q^{6} +(-2.82785 + 1.63266i) q^{7} +(-7.63541 + 2.38759i) q^{8} +(1.84282 + 8.80931i) q^{9} +O(q^{10})\)	\(q+(-1.98980 + 0.201701i) q^{2} +(-2.32839 - 1.89172i) q^{3} +(3.91863 - 0.802691i) q^{4} +(-3.99189 + 1.06962i) q^{5} +(5.01460 + 3.29450i) q^{6} +(-2.82785 + 1.63266i) q^{7} +(-7.63541 + 2.38759i) q^{8} +(1.84282 + 8.80931i) q^{9} +(7.72733 - 2.93351i) q^{10} +(2.39591 - 8.94164i) q^{11} +(-10.6426 - 5.54396i) q^{12} +(15.1555 - 4.06090i) q^{13} +(5.29755 - 3.81905i) q^{14} +(11.3181 + 5.06102i) q^{15} +(14.7114 - 6.29090i) q^{16} +27.9053i q^{17} +(-5.44370 - 17.1571i) q^{18} +(22.9712 + 22.9712i) q^{19} +(-14.7842 + 7.39571i) q^{20} +(9.67286 + 1.54801i) q^{21} +(-2.96384 + 18.2754i) q^{22} +(2.53989 - 4.39922i) q^{23} +(22.2949 + 8.88477i) q^{24} +(-6.85956 + 3.96037i) q^{25} +(-29.3373 + 11.1373i) q^{26} +(12.3739 - 23.9976i) q^{27} +(-9.77077 + 8.66767i) q^{28} +(39.4467 + 10.5697i) q^{29} +(-23.5416 - 7.78755i) q^{30} +(14.7914 - 25.6195i) q^{31} +(-28.0039 + 15.4850i) q^{32} +(-22.4937 + 16.2873i) q^{33} +(-5.62854 - 55.5261i) q^{34} +(9.54211 - 9.54211i) q^{35} +(14.2925 + 33.0413i) q^{36} +(-22.0195 + 22.0195i) q^{37} +(-50.3416 - 41.0749i) q^{38} +(-42.9700 - 19.2145i) q^{39} +(27.9259 - 17.6980i) q^{40} +(-12.6718 + 21.9482i) q^{41} +(-19.5593 - 1.12922i) q^{42} +(-3.07219 - 0.823192i) q^{43} +(2.21130 - 36.9622i) q^{44} +(-16.7790 - 33.1947i) q^{45} +(-4.16655 + 9.26587i) q^{46} +(-0.0912598 + 0.0526889i) q^{47} +(-46.1545 - 13.1820i) q^{48} +(-19.1689 + 33.2014i) q^{49} +(12.8504 - 9.26394i) q^{50} +(52.7890 - 64.9746i) q^{51} +(56.1291 - 28.0783i) q^{52} +(-1.60168 - 1.60168i) q^{53} +(-19.7813 + 50.2464i) q^{54} +38.2567i q^{55} +(17.6936 - 19.2177i) q^{56} +(-10.0310 - 96.9411i) q^{57} +(-80.6231 - 13.0752i) q^{58} +(-21.6369 + 5.79758i) q^{59} +(48.4139 + 10.7473i) q^{60} +(7.11965 - 26.5709i) q^{61} +(-24.2645 + 53.9612i) q^{62} +(-19.5938 - 21.9027i) q^{63} +(52.5988 - 36.4604i) q^{64} +(-56.1553 + 32.4213i) q^{65} +(41.4728 - 36.9455i) q^{66} +(-54.7625 + 14.6736i) q^{67} +(22.3994 + 109.351i) q^{68} +(-14.2359 + 5.43835i) q^{69} +(-17.0623 + 20.9116i) q^{70} +38.5998 q^{71} +(-35.1037 - 62.8628i) q^{72} +75.9952i q^{73} +(39.3732 - 48.2559i) q^{74} +(23.4636 + 3.75505i) q^{75} +(108.455 + 71.5771i) q^{76} +(7.82339 + 29.1973i) q^{77} +(89.3773 + 29.5660i) q^{78} +(65.8295 + 114.020i) q^{79} +(-51.9973 + 40.8482i) q^{80} +(-74.2080 + 32.4680i) q^{81} +(20.7874 - 46.2285i) q^{82} +(38.2470 + 10.2482i) q^{83} +(39.1470 - 1.69822i) q^{84} +(-29.8482 - 111.395i) q^{85} +(6.27910 + 1.01833i) q^{86} +(-71.8525 - 99.2324i) q^{87} +(3.05526 + 73.9935i) q^{88} +150.778 q^{89} +(40.0823 + 62.6665i) q^{90} +(-36.2273 + 36.2273i) q^{91} +(6.42168 - 19.2777i) q^{92} +(-82.9050 + 31.6711i) q^{93} +(0.170962 - 0.123248i) q^{94} +(-116.269 - 67.1280i) q^{95} +(94.4971 + 16.9203i) q^{96} +(-16.8043 - 29.1059i) q^{97} +(31.4455 - 69.9307i) q^{98} +(83.1849 + 4.62844i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

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