LMFDB - Embedded newform 144.3.w.a.29.14

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			29.14
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16958 - 1.62237i) q^{2} +(-1.89172 - 2.32839i) q^{3} +(-1.26417 + 3.79498i) q^{4} +(-1.06962 + 3.99189i) q^{5} +(-1.56500 + 5.79230i) q^{6} +(2.82785 + 1.63266i) q^{7} +(7.63541 - 2.38759i) q^{8} +(-1.84282 + 8.80931i) q^{9} +O(q^{10})$	\(q+(-1.16958 - 1.62237i) q^{2} +(-1.89172 - 2.32839i) q^{3} +(-1.26417 + 3.79498i) q^{4} +(-1.06962 + 3.99189i) q^{5} +(-1.56500 + 5.79230i) 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} +(8.94164 - 2.39591i) q^{11} +(11.2276 - 4.23555i) q^{12} +(-4.06090 + 15.1555i) q^{13} +(-0.658618 - 6.49733i) q^{14} +(11.3181 - 5.06102i) q^{15} +(-12.8038 - 9.59497i) q^{16} -27.9053i q^{17} +(16.4473 - 7.31346i) q^{18} +(22.9712 + 22.9712i) q^{19} +(-13.7970 - 9.10561i) q^{20} +(-1.54801 - 9.67286i) q^{21} +(-14.3450 - 11.7044i) q^{22} +(-2.53989 - 4.39922i) q^{23} +(-20.0033 - 13.2616i) q^{24} +(6.85956 + 3.96037i) q^{25} +(29.3373 - 11.1373i) q^{26} +(23.9976 - 12.3739i) q^{27} +(-9.77077 + 8.66767i) q^{28} +(10.5697 + 39.4467i) q^{29} +(-21.4483 - 12.4429i) q^{30} +(14.7914 + 25.6195i) q^{31} +(-0.591558 + 31.9945i) q^{32} +(-22.4937 - 16.2873i) q^{33} +(-45.2728 + 32.6375i) q^{34} +(-9.54211 + 9.54211i) q^{35} +(-31.1016 - 18.1299i) q^{36} +(-22.0195 + 22.0195i) q^{37} +(10.4011 - 64.1345i) q^{38} +(42.9700 - 19.2145i) q^{39} +(1.36399 + 33.0335i) q^{40} +(12.6718 + 21.9482i) q^{41} +(-13.8824 + 13.8246i) q^{42} +(0.823192 + 3.07219i) q^{43} +(-2.21130 + 36.9622i) q^{44} +(-33.1947 - 16.7790i) q^{45} +(-4.16655 + 9.26587i) q^{46} +(-0.0912598 - 0.0526889i) q^{47} +(1.88024 + 47.9632i) q^{48} +(-19.1689 - 33.2014i) q^{49} +(-1.59762 - 15.7607i) q^{50} +(-64.9746 + 52.7890i) q^{51} +(-52.3811 - 34.5701i) q^{52} +(1.60168 + 1.60168i) q^{53} +(-48.1422 - 24.4608i) q^{54} +38.2567i q^{55} +(25.4899 + 5.71427i) q^{56} +(10.0310 - 96.9411i) q^{57} +(51.6350 - 63.2841i) q^{58} +(-5.79758 + 21.6369i) q^{59} +(4.89850 + 49.3500i) q^{60} +(-26.5709 + 7.11965i) 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} +(-0.115855 + 55.5423i) q^{66} +(14.6736 - 54.7625i) q^{67} +(105.900 + 35.2770i) q^{68} +(-5.43835 + 14.2359i) q^{69} +(26.6411 + 4.32057i) q^{70} -38.5998 q^{71} +(6.96234 + 71.6626i) q^{72} +75.9952i q^{73} +(61.4775 + 9.97022i) q^{74} +(-3.75505 - 23.4636i) q^{75} +(-116.215 + 58.1360i) q^{76} +(29.1973 + 7.82339i) q^{77} +(-81.4298 - 47.2403i) 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} +(10.2482 + 38.2470i) q^{83} +(38.6653 + 6.35341i) q^{84} +(111.395 + 29.8482i) q^{85} +(4.02145 - 4.92870i) q^{86} +(71.8525 - 99.2324i) q^{87} +(62.5526 - 39.6427i) q^{88} -150.778 q^{89} +(11.6021 + 73.4784i) q^{90} +(-36.2273 + 36.2273i) q^{91} +(19.9058 - 4.07749i) q^{92} +(31.6711 - 82.9050i) q^{93} +(0.0212548 + 0.209681i) q^{94} +(-116.269 + 67.1280i) q^{95} +(75.6149 - 59.1472i) q^{96} +(-16.8043 + 29.1059i) q^{97} +(-31.4455 + 69.9307i) q^{98} +(4.62844 + 83.1849i) 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 $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.16958	−	1.62237i	−0.584790	−	0.811185i
$2$	−1.16958	−	1.62237i	−0.584790	−	0.811185i
$3$	−1.89172	−	2.32839i	−0.630572	−	0.776131i
$3$	−1.89172	−	2.32839i	−0.630572	−	0.776131i
$4$	−1.26417	+	3.79498i	−0.316041	+	0.948745i
$5$	−1.06962	+	3.99189i	−0.213925	+	0.798378i	0.772618	+	0.634872i	$0.218947\pi$
$5$	−1.06962	+	3.99189i	−0.213925	+	0.798378i	−0.986542	+	0.163506i	$0.947720\pi$
$6$	−1.56500	+	5.79230i	−0.260833	+	0.965384i
$7$	2.82785	+	1.63266i	0.403978	+	0.233237i	0.688199	−	0.725522i	$-0.258402\pi$
$7$	2.82785	+	1.63266i	0.403978	+	0.233237i	−0.284221	+	0.958759i	$0.591735\pi$
$8$	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
$11$	8.94164	−	2.39591i	0.812876	−	0.217810i	0.171647	−	0.985159i	$-0.445091\pi$
$11$	8.94164	−	2.39591i	0.812876	−	0.217810i	0.641230	+	0.767349i	$0.278425\pi$
$12$	11.2276	−	4.23555i	0.935637	−	0.352963i
$13$	−4.06090	+	15.1555i	−0.312377	+	1.16581i	0.614030	+	0.789282i	$0.289547\pi$
$13$	−4.06090	+	15.1555i	−0.312377	+	1.16581i	−0.926407	+	0.376523i	$0.877119\pi$
$14$	−0.658618	−	6.49733i	−0.0470441	−	0.464095i
$15$	11.3181	−	5.06102i	0.754540	−	0.337401i
$16$	−12.8038	−	9.59497i	−0.800236	−	0.599686i
$17$		−	27.9053i		−	1.64149i	−0.571294	−	0.820745i	$-0.693558\pi$
$17$		−	27.9053i		−	1.64149i	0.571294	−	0.820745i	$-0.306442\pi$
$18$	16.4473	−	7.31346i	0.913738	−	0.406303i
$19$	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	$0.423618\pi$
$20$	−13.7970	−	9.10561i	−0.689848	−	0.455280i
$21$	−1.54801	−	9.67286i	−0.0737149	−	0.460612i
$22$	−14.3450	−	11.7044i	−0.652046	−	0.532020i
$23$	−2.53989	−	4.39922i	−0.110430	−	0.191270i	0.805514	−	0.592577i	$-0.201889\pi$
$23$	−2.53989	−	4.39922i	−0.110430	−	0.191270i	−0.915944	+	0.401307i	$0.868556\pi$
$24$	−20.0033	−	13.2616i	−0.833469	−	0.552566i
$25$	6.85956	+	3.96037i	0.274382	+	0.158415i
$26$	29.3373	−	11.1373i	1.12836	−	0.428356i
$27$	23.9976	−	12.3739i	0.888801	−	0.458293i
$28$	−9.77077	+	8.66767i	−0.348956	+	0.309560i
$29$	10.5697	+	39.4467i	0.364473	+	1.36023i	0.868134	+	0.496330i	$0.165320\pi$
$29$	10.5697	+	39.4467i	0.364473	+	1.36023i	−0.503661	+	0.863902i	$0.668014\pi$
$30$	−21.4483	−	12.4429i	−0.714942	−	0.414763i
$31$	14.7914	+	25.6195i	0.477143	+	0.826435i	0.999657	−	0.0261954i	$-0.00833921\pi$
$31$	14.7914	+	25.6195i	0.477143	+	0.826435i	−0.522514	+	0.852631i	$0.675006\pi$
$32$	−0.591558	+	31.9945i	−0.0184862	+	0.999829i
$33$	−22.4937	−	16.2873i	−0.681626	−	0.493554i
$34$	−45.2728	+	32.6375i	−1.33155	+	0.959927i
$35$	−9.54211	+	9.54211i	−0.272632	+	0.272632i
$36$	−31.1016	−	18.1299i	−0.863932	−	0.503608i
$37$	−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	$0.388256\pi$
$38$	10.4011	−	64.1345i	0.273714	−	1.68775i
$39$	42.9700	−	19.2145i	1.10179	−	0.492679i
$40$	1.36399	+	33.0335i	0.0340996	+	0.825838i
$41$	12.6718	+	21.9482i	0.309068	+	0.535322i	0.978159	−	0.207859i	$-0.0666495\pi$
$41$	12.6718	+	21.9482i	0.309068	+	0.535322i	−0.669091	+	0.743181i	$0.733316\pi$
$42$	−13.8824	+	13.8246i	−0.330534	+	0.329158i
$43$	0.823192	+	3.07219i	0.0191440	+	0.0714464i	0.974837	−	0.222919i	$-0.0715585\pi$
$43$	0.823192	+	3.07219i	0.0191440	+	0.0714464i	−0.955693	+	0.294365i	$0.904892\pi$
$44$	−2.21130	+	36.9622i	−0.0502568	+	0.840050i
$45$	−33.1947	−	16.7790i	−0.737659	−	0.372866i
$46$	−4.16655	+	9.26587i	−0.0905772	+	0.201432i
$47$	−0.0912598	−	0.0526889i	−0.00194170	−	0.00112104i	0.499029	−	0.866585i	$-0.333690\pi$
$47$	−0.0912598	−	0.0526889i	−0.00194170	−	0.00112104i	−0.500971	+	0.865464i	$0.667024\pi$
$48$	1.88024	+	47.9632i	0.0391716	+	0.999232i
$49$	−19.1689	−	33.2014i	−0.391201	−	0.677580i
$50$	−1.59762	−	15.7607i	−0.0319524	−	0.315214i
$51$	−64.9746	+	52.7890i	−1.27401	+	1.03508i
$52$	−52.3811	−	34.5701i	−1.00733	−	0.664809i
$53$	1.60168	+	1.60168i	0.0302203	+	0.0302203i	0.722055	−	0.691835i	$-0.243198\pi$
$53$	1.60168	+	1.60168i	0.0302203	+	0.0302203i	−0.691835	+	0.722055i	$0.743198\pi$
$54$	−48.1422	−	24.4608i	−0.891522	−	0.452977i
$55$			38.2567i			0.695577i
$56$	25.4899	+	5.71427i	0.455176	+	0.102040i
$57$	10.0310	−	96.9411i	0.175982	−	1.70072i
$58$	51.6350	−	63.2841i	0.890259	−	1.09110i
$59$	−5.79758	+	21.6369i	−0.0982641	+	0.366727i	−0.997494	−	0.0707495i	$-0.977461\pi$
$59$	−5.79758	+	21.6369i	−0.0982641	+	0.366727i	0.899230	+	0.437476i	$0.144128\pi$
$60$	4.89850	+	49.3500i	0.0816417	+	0.822499i
$61$	−26.5709	+	7.11965i	−0.435589	+	0.116716i	−0.469948	−	0.882694i	$-0.655727\pi$
$61$	−26.5709	+	7.11965i	−0.435589	+	0.116716i	0.0343598	+	0.999410i	$0.489061\pi$
$62$	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
$66$	−0.115855	+	55.5423i	−0.00175537	+	0.841550i
$67$	14.6736	−	54.7625i	0.219008	−	0.817351i	−0.765708	−	0.643188i	$-0.777611\pi$
$67$	14.6736	−	54.7625i	0.219008	−	0.817351i	0.984717	−	0.174163i	$-0.0557219\pi$
$68$	105.900	+	35.2770i	1.55736	+	0.518779i
$69$	−5.43835	+	14.2359i	−0.0788167	+	0.206318i
$70$	26.6411	+	4.32057i	0.380587	+	0.0617224i
$71$	−38.5998			−0.543659			−0.271829	−	0.962345i	$-0.587629\pi$
$71$	−38.5998			−0.543659			−0.271829	+	0.962345i	$0.587629\pi$
$72$	6.96234	+	71.6626i	0.0966992	+	0.995314i
$73$			75.9952i			1.04103i	0.853852	+	0.520515i	$0.174260\pi$
$73$			75.9952i			1.04103i	−0.853852	+	0.520515i	$0.825740\pi$
$74$	61.4775	+	9.97022i	0.830776	+	0.134733i
$75$	−3.75505	−	23.4636i	−0.0500673	−	0.312849i
$76$	−116.215	+	58.1360i	−1.52914	+	0.764947i
$77$	29.1973	+	7.82339i	0.379185	+	0.101602i
$78$	−81.4298	−	47.2403i	−1.04397	−	0.605644i
$79$	65.8295	−	114.020i	0.833285	−	1.44329i	−0.0621335	−	0.998068i	$-0.519790\pi$
$79$	65.8295	−	114.020i	0.833285	−	1.44329i	0.895419	−	0.445225i	$-0.146876\pi$
$80$	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
$83$	10.2482	+	38.2470i	0.123473	+	0.460807i	0.999781	−	0.0209448i	$-0.00666743\pi$
$83$	10.2482	+	38.2470i	0.123473	+	0.460807i	−0.876308	+	0.481752i	$0.840001\pi$
$84$	38.6653	+	6.35341i	0.460301	+	0.0756359i
$85$	111.395	+	29.8482i	1.31053	+	0.351155i
$86$	4.02145	−	4.92870i	0.0467610	−	0.0573105i
$87$	71.8525	−	99.2324i	0.825891	−	1.14060i
$88$	62.5526	−	39.6427i	0.710825	−	0.450485i
$89$	−150.778			−1.69414			−0.847069	−	0.531482i	$-0.821635\pi$
$89$	−150.778			−1.69414			−0.847069	+	0.531482i	$0.821635\pi$
$90$	11.6021	+	73.4784i	0.128912	+	0.816426i
$91$	−36.2273	+	36.2273i	−0.398102	+	0.398102i
$92$	19.9058	−	4.07749i	0.216367	−	0.0443206i
$93$	31.6711	−	82.9050i	0.340549	−	0.891452i
$94$	0.0212548	+	0.209681i	0.000226115	+	0.00223065i
$95$	−116.269	+	67.1280i	−1.22389	+	0.706611i
$96$	75.6149	−	59.1472i	0.787655	−	0.616117i
$97$	−16.8043	+	29.1059i	−0.173240	+	0.300061i	−0.939551	−	0.342409i	$-0.888757\pi$
$97$	−16.8043	+	29.1059i	−0.173240	+	0.300061i	0.766310	+	0.642470i	$0.222090\pi$
$98$	−31.4455	+	69.9307i	−0.320872	+	0.713579i
$99$	4.62844	+	83.1849i	0.0467519	+	0.840252i
$100$	−23.7011	+	21.0253i	−0.237011	+	0.210253i
$101$	94.0929	−	25.2121i	0.931613	−	0.249625i	0.239070	−	0.971002i	$-0.423157\pi$
$101$	94.0929	−	25.2121i	0.931613	−	0.249625i	0.692542	+	0.721377i	$0.256491\pi$
$102$	161.636	+	43.6719i	1.58467	+	0.428155i
$103$	174.028	−	100.475i	1.68959	−	0.975488i	0.734771	−	0.678315i	$-0.237290\pi$
$103$	174.028	−	100.475i	1.68959	−	0.975488i	0.954824	−	0.297173i	$-0.0960437\pi$
$104$	5.17847	+	125.414i	0.0497929	+	1.20590i
$105$	40.2688	+	4.16682i	0.383512	+	0.0396840i
$106$	0.725223	−	4.47180i	0.00684173	−	0.0421868i
$107$	−86.4419	−	86.4419i	−0.807868	−	0.807868i	0.176443	−	0.984311i	$-0.443541\pi$
$107$	−86.4419	−	86.4419i	−0.807868	−	0.807868i	−0.984311	+	0.176443i	$0.943541\pi$
$108$	16.6218	+	106.713i	0.153905	+	0.988086i
$109$	−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	$0.775988\pi$
$110$	62.0666	−	44.7443i	0.564242	−	0.406766i
$111$	92.9249	+	9.61541i	0.837161	+	0.0866253i
$112$	−20.5418	−	48.0373i	−0.183409	−	0.428904i
$113$	192.534	−	111.159i	1.70384	−	0.983711i	0.762039	−	0.647531i	$-0.224198\pi$
$113$	192.534	−	111.159i	1.70384	−	0.983711i	0.941798	−	0.336180i	$-0.109135\pi$
$114$	−169.006	+	97.1064i	−1.48251	+	0.851811i
$115$	20.2779	−	5.43345i	0.176330	−	0.0472474i
$116$	−163.061	−	9.75531i	−1.40570	−	0.0840975i
$117$	−126.026	−	63.7026i	−1.07714	−	0.544466i
$118$	41.8837	−	15.9002i	0.354947	−	0.134748i
$119$	45.5599	−	78.9120i	0.382856	−	0.663126i
$120$	74.3347	−	65.6659i	0.619456	−	0.547216i
$121$	−30.5765	+	17.6534i	−0.252698	+	0.145895i
$122$	42.6275	+	34.7808i	0.349406	+	0.285089i
$123$	27.1326	−	71.0247i	0.220590	−	0.577436i
$124$	−115.924	+	23.7459i	−0.934873	+	0.191499i
$125$	−96.2031	+	96.2031i	−0.769625	+	0.769625i
$126$	58.4508	+	6.17145i	0.463895	+	0.0489798i
$127$	−20.4752			−0.161222			−0.0806109	−	0.996746i	$-0.525687\pi$
$127$	−20.4752			−0.161222			−0.0806109	+	0.996746i	$0.525687\pi$
$128$	−120.671	−	42.6913i	−0.942741	−	0.333526i
$129$	5.59603	−	7.72843i	0.0433801	−	0.0599103i
$130$	13.0788	+	129.024i	0.100606	+	0.992492i
$131$	−102.456	−	27.4530i	−0.782107	−	0.209565i	−0.154394	−	0.988009i	$-0.549342\pi$
$131$	−102.456	−	27.4530i	−0.782107	−	0.209565i	−0.627714	+	0.778444i	$0.716009\pi$
$132$	90.2456	−	64.7732i	0.683679	−	0.490706i
$133$	27.4550	+	102.463i	0.206428	+	0.770401i
$134$	−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	$-0.799683\pi$
$137$	14.4562	−	25.0388i	0.105520	−	0.182765i	0.913950	+	0.405826i	$0.133016\pi$
$138$	29.4565	−	7.82703i	0.213453	−	0.0567176i
$139$	−91.1143	−	24.4140i	−0.655498	−	0.175640i	−0.0842848	−	0.996442i	$-0.526861\pi$
$139$	−91.1143	−	24.4140i	−0.655498	−	0.175640i	−0.571214	+	0.820801i	$0.693527\pi$
$140$	−24.1493	−	48.2750i	−0.172495	−	0.344821i
$141$	0.0499573	+	0.312161i	0.000354307	+	0.00221391i
$142$	45.1455	+	62.6231i	0.317926	+	0.441008i
$143$			145.244i			1.01569i
$144$	108.120	−	95.1106i	0.750835	−	0.660490i
$145$	−168.773			−1.16395
$146$	123.292	−	88.8825i	0.844468	−	0.608784i
$147$	−41.0439	+	107.440i	−0.279210	+	0.730886i
$148$	−55.7274	−	111.400i	−0.376537	−	0.752703i
$149$	−52.7418	+	196.835i	−0.353972	+	1.32104i	0.527801	+	0.849368i	$0.323017\pi$
$149$	−52.7418	+	196.835i	−0.353972	+	1.32104i	−0.881773	+	0.471674i	$0.843650\pi$
$150$	−33.6749	+	33.5347i	−0.224499	+	0.223565i
$151$	51.6658	+	29.8293i	0.342157	+	0.197545i	0.661226	−	0.750187i	$-0.270037\pi$
$151$	51.6658	+	29.8293i	0.342157	+	0.197545i	−0.319068	+	0.947732i	$0.603370\pi$
$152$	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
$155$	−118.091	+	31.6425i	−0.761880	+	0.204145i
$156$	18.5975	+	187.360i	0.119215	+	1.20103i
$157$	−38.7473	+	144.607i	−0.246798	+	0.921063i	0.725673	+	0.688040i	$0.241529\pi$
$157$	−38.7473	+	144.607i	−0.246798	+	0.921063i	−0.972471	+	0.233023i	$0.925138\pi$
$158$	−261.976	+	26.5558i	−1.65807	+	0.168075i
$159$	0.699415	−	6.75925i	0.00439883	−	0.0425110i
$160$	−127.086	−	36.5835i	−0.794286	−	0.228647i
$161$		−	16.5871i		−	0.103025i
$162$	34.1171	+	158.367i	0.210600	+	0.977572i
$163$	−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	$0.863887\pi$
$164$	−99.3122	+	20.3431i	−0.605562	+	0.124043i
$165$	89.0767	−	72.3709i	0.539859	−	0.438611i
$166$	50.0646	−	61.3593i	0.301594	−	0.369634i
$167$	−65.8348	−	114.029i	−0.394220	−	0.682810i	0.598781	−	0.800913i	$-0.295652\pi$
$167$	−65.8348	−	114.029i	−0.394220	−	0.682810i	−0.993001	+	0.118103i	$0.962319\pi$
$168$	−34.9145	−	70.1602i	−0.207825	−	0.417620i
$169$	−66.8393	−	38.5897i	−0.395499	−	0.228341i
$170$	−81.8605	−	215.634i	−0.481533	−	1.26843i
$171$	−244.693	+	160.029i	−1.43095	+	0.935842i
$172$	−12.6996	−	0.759765i	−0.0738347	−	0.00441724i
$173$	3.06102	+	11.4239i	0.0176937	+	0.0660339i	0.974208	−	0.225651i	$-0.0724509\pi$
$173$	3.06102	+	11.4239i	0.0176937	+	0.0660339i	−0.956515	+	0.291685i	$0.905784\pi$
$174$	−245.029	−	0.511101i	−1.40821	−	0.00293736i
$175$	12.9319	+	22.3986i	0.0738963	+	0.127992i
$176$	−137.475	−	55.1182i	−0.781110	−	0.313171i
$177$	61.3465	−	27.4318i	0.346590	−	0.154982i
$178$	176.347	+	244.618i	0.990715	+	1.37426i
$179$	109.095	−	109.095i	0.609467	−	0.609467i	−0.333340	−	0.942807i	$-0.608176\pi$
$179$	109.095	−	109.095i	0.609467	−	0.609467i	0.942807	+	0.333340i	$0.108176\pi$
$180$	105.639	−	104.762i	0.586886	−	0.582010i
$181$	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	$-0.152759\pi$
$182$	101.145	+	16.4033i	0.555740	+	0.0901283i
$183$	66.8419	+	48.3991i	0.365256	+	0.264476i
$184$	−29.8966	−	27.5256i	−0.162482	−	0.149596i
$185$	−64.3469	−	111.452i	−0.347821	−	0.602444i
$186$	−171.544	+	45.5819i	−0.922282	+	0.245064i
$187$	−66.8586	−	249.520i	−0.357532	−	1.33433i
$188$	0.315321	−	0.279722i	0.00167724	−	0.00148788i
$189$	88.0640	+	4.18841i	0.465947	+	0.0221609i
$190$	244.893	+	110.120i	1.28891	+	0.579579i
$191$	−255.962	−	147.780i	−1.34011	−	0.773715i	−0.353290	−	0.935514i	$-0.614937\pi$
$191$	−255.962	−	147.780i	−1.34011	−	0.773715i	−0.986824	+	0.161799i	$0.948270\pi$
$192$	−184.396	−	53.4979i	−0.960397	−	0.278635i
$193$	61.7514	+	106.957i	0.319955	+	0.554179i	0.980478	−	0.196627i	$-0.0629987\pi$
$193$	61.7514	+	106.957i	0.319955	+	0.554179i	−0.660523	+	0.750806i	$0.729665\pi$
$194$	66.8746	−	6.77890i	0.344714	−	0.0349428i
$195$	30.7404	+	192.084i	0.157643	+	0.985044i
$196$	150.231	−	30.7733i	0.766487	−	0.157007i
$197$	−12.0221	−	12.0221i	−0.0610259	−	0.0610259i	0.675935	−	0.736961i	$-0.263740\pi$
$197$	−12.0221	−	12.0221i	−0.0610259	−	0.0610259i	−0.736961	+	0.675935i	$0.763740\pi$
$198$	129.543	−	104.800i	0.654260	−	0.529295i
$199$			316.553i			1.59072i	0.606139	+	0.795359i	$0.292717\pi$
$199$			316.553i			1.59072i	−0.606139	+	0.795359i	$0.707283\pi$
$200$	61.8313	+	13.8612i	0.309156	+	0.0693060i
$201$	−155.267	+	69.4293i	−0.772472	+	0.345419i
$202$	−150.952	−	123.166i	−0.747289	−	0.609732i
$203$	−34.5135	+	128.806i	−0.170017	+	0.634512i
$204$	−118.195	−	313.311i	−0.579385	−	1.53584i
$205$	−101.169	+	27.1081i	−0.493506	+	0.132235i
$206$	−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
$210$	−40.3374	−	70.2042i	−0.192083	−	0.334306i
$211$	72.4384	−	270.344i	0.343310	−	1.28125i	−0.551264	−	0.834331i	$-0.685854\pi$
$211$	72.4384	−	270.344i	0.343310	−	1.28125i	0.894574	−	0.446919i	$-0.147479\pi$
$212$	−8.10312	+	4.05355i	−0.0382223	+	0.0191205i
$213$	73.0198	+	89.8754i	0.342816	+	0.421950i
$214$	−39.1400	+	241.341i	−0.182897	+	1.12776i
$215$	−13.1444			−0.0611366
$216$	153.688	−	151.776i	0.711518	−	0.702668i
$217$			96.5973i			0.445149i
$218$	−5.69227	+	35.0992i	−0.0261114	+	0.161005i
$219$	176.947	−	143.761i	0.807976	−	0.656445i
$220$	−145.184	−	48.3629i	−0.659926	−	0.219831i
$221$	422.919	+	113.321i	1.91366	+	0.512764i
$222$	−93.0833	−	162.004i	−0.419294	−	0.729750i
$223$	118.034	−	204.441i	0.529300	−	0.916774i	−0.470116	−	0.882605i	$-0.655788\pi$
$223$	118.034	−	204.441i	0.529300	−	0.916774i	0.999416	−	0.0341697i	$-0.0108787\pi$
$224$	−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
$227$	44.3505	+	165.518i	0.195376	+	0.729155i	0.992169	+	0.124902i	$0.0398617\pi$
$227$	44.3505	+	165.518i	0.195376	+	0.729155i	−0.796793	+	0.604253i	$0.793472\pi$
$228$	355.209	+	160.617i	1.55793	+	0.704461i
$229$	281.415	+	75.4049i	1.22889	+	0.329279i	0.814145	−	0.580661i	$-0.197206\pi$
$229$	281.415	+	75.4049i	1.22889	+	0.329279i	0.414740	+	0.909940i	$0.363873\pi$
$230$	−32.5317	−	26.5434i	−0.141442	−	0.115406i
$231$	−37.0170	−	82.7823i	−0.160247	−	0.358365i
$232$	174.887	+	275.956i	0.753822	+	1.18946i
$233$	231.148			0.992051			0.496025	−	0.868308i	$-0.334792\pi$
$233$	231.148			0.992051			0.496025	+	0.868308i	$0.334792\pi$
$234$	44.0482	+	278.966i	0.188240	+	1.19216i
$235$	0.307942	−	0.307942i	0.00131039	−	0.00131039i
$236$	−74.7824	−	49.3543i	−0.316875	−	0.209128i
$237$	−390.014	+	62.4167i	−1.64563	+	0.263361i
$238$	−181.310	+	18.3790i	−0.761808	+	0.0772225i
$239$	−58.2300	+	33.6191i	−0.243640	+	0.140666i	−0.616849	−	0.787082i	$-0.711591\pi$
$239$	−58.2300	+	33.6191i	−0.243640	+	0.140666i	0.373208	+	0.927748i	$0.378258\pi$
$240$	−193.475	−	43.7968i	−0.806145	−	0.182487i
$241$	−27.3230	+	47.3249i	−0.113374	+	0.196369i	−0.917128	−	0.398592i	$-0.869499\pi$
$241$	−27.3230	+	47.3249i	−0.113374	+	0.196369i	0.803755	+	0.594961i	$0.202832\pi$
$242$	64.4019	+	28.9594i	0.266124	+	0.119667i
$243$	64.7823	+	234.206i	0.266594	+	0.963809i
$244$	6.57108	−	109.836i	0.0269306	−	0.450150i
$245$	153.040	−	41.0069i	0.624653	−	0.167375i
$246$	−146.962	+	39.0500i	−0.597406	+	0.158740i
$247$	−441.424	+	254.856i	−1.78714	+	1.03181i
$248$	174.107	+	160.299i	0.702046	+	0.646368i
$249$	69.6672	−	96.2143i	0.279788	−	0.386403i
$250$	268.594	+	43.5598i	1.07438	+	0.174239i
$251$	163.655	+	163.655i	0.652013	+	0.652013i	0.953477	−	0.301465i	$-0.0974756\pi$
$251$	163.655	+	163.655i	0.652013	+	0.652013i	−0.301465	+	0.953477i	$0.597476\pi$
$252$	−58.3505	−	102.047i	−0.231549	−	0.404947i
$253$	−33.2509	−	33.2509i	−0.131426	−	0.131426i
$254$	23.9474	+	33.2183i	0.0942809	+	0.130781i
$255$	−141.229	−	315.836i	−0.553841	−	1.23857i
$256$	71.8730	+	245.704i	0.280754	+	0.959780i
$257$	252.543	−	145.806i	0.982657	−	0.567337i	0.0795859	−	0.996828i	$-0.474640\pi$
$257$	252.543	−	145.806i	0.982657	−	0.567337i	0.903071	+	0.429491i	$0.141307\pi$
$258$	−19.0834	−	0.0398057i	−0.0739666	−	0.000154285i
$259$	−98.2182	+	26.3175i	−0.379221	+	0.101612i
$260$	194.028	−	172.123i	0.746261	−	0.662010i
$261$	−366.977	+	20.4187i	−1.40604	+	0.0782326i
$262$	75.2916	+	198.330i	0.287373	+	0.756985i
$263$	5.69485	−	9.86377i	0.0216534	−	0.0375048i	−0.854996	−	0.518635i	$-0.826440\pi$
$263$	5.69485	−	9.86377i	0.0216534	−	0.0375048i	0.876649	+	0.481130i	$0.159774\pi$
$264$	−210.635	−	70.6543i	−0.797862	−	0.267630i
$265$	−8.10691	+	4.68053i	−0.0305921	+	0.0176624i
$266$	134.123	−	164.381i	0.504220	−	0.617974i
$267$	285.230	+	351.071i	1.06828	+	1.31487i
$268$	189.273	+	124.915i	0.706242	+	0.466100i
$269$	114.765	−	114.765i	0.426635	−	0.426635i	−0.460846	−	0.887480i	$-0.652454\pi$
$269$	114.765	−	114.765i	0.426635	−	0.426635i	0.887480	+	0.460846i	$0.152454\pi$
$270$	149.139	−	166.014i	0.552365	−	0.614868i
$271$	164.560			0.607233			0.303616	−	0.952794i	$-0.401806\pi$
$271$	164.560			0.607233			0.303616	+	0.952794i	$0.401806\pi$
$272$	−267.751	+	357.294i	−0.984379	+	1.31358i
$273$	152.883	+	15.8196i	0.560011	+	0.0579472i
$274$	−57.5299	+	5.83165i	−0.209963	+	0.0212834i
$275$	70.8244	+	18.9773i	0.257543	+	0.0690085i
$276$	−47.1501	−	38.6350i	−0.170834	−	0.139982i
$277$	−127.822	−	477.040i	−0.461453	−	1.72216i	−0.668390	−	0.743811i	$-0.733016\pi$
$277$	−127.822	−	477.040i	−0.461453	−	1.72216i	0.206938	−	0.978354i	$-0.433650\pi$
$278$	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	$-0.747308\pi$
$281$	75.0208	−	129.940i	0.266978	−	0.462420i	0.968080	+	0.250642i	$0.0806415\pi$
$282$	0.448012	−	0.446146i	0.00158869	−	0.00158208i
$283$	208.213	+	55.7905i	0.735735	+	0.197139i	0.607182	−	0.794563i	$-0.292300\pi$
$283$	208.213	+	55.7905i	0.735735	+	0.197139i	0.128553	+	0.991703i	$0.458967\pi$
$284$	48.7965	−	146.485i	0.171819	−	0.515794i
$285$	376.249	+	143.733i	1.32017	+	0.504327i
$286$	235.640	−	169.875i	0.823916	−	0.593968i
$287$			82.7548i			0.288344i
$288$	−280.760	−	64.1714i	−0.974860	−	0.222817i
$289$	−489.708			−1.69449
$290$	197.393	+	273.811i	0.680665	+	0.944177i
$291$	99.5591	−	15.9331i	0.342127	−	0.0547530i
$292$	−288.400	−	96.0706i	−0.987673	−	0.329009i
$293$	−107.492	+	401.167i	−0.366868	+	1.36917i	0.498002	+	0.867176i	$0.334067\pi$
$293$	−107.492	+	401.167i	−0.366868	+	1.36917i	−0.864871	+	0.501995i	$0.832600\pi$
$294$	222.312	−	59.0716i	0.756163	−	0.200924i
$295$	−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
$299$	76.9864	−	20.6285i	0.257480	−	0.0689915i
$300$	93.7911	+	15.4116i	0.312637	+	0.0513720i
$301$	−2.68798	+	10.0317i	−0.00893017	+	0.0333279i
$302$	−12.0332	−	118.709i	−0.0398450	−	0.393075i
$303$	−236.701	−	171.391i	−0.781190	−	0.565647i
$304$	−73.7101	−	514.527i	−0.242467	−	1.69252i
$305$		−	113.683i		−	0.372732i
$306$	−204.085	−	458.967i	−0.666943	−	1.49989i
$307$	−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	$0.984028\pi$
$308$	−66.5998	+	100.913i	−0.216233	+	0.327640i
$309$	−563.158	−	215.135i	−1.82252	−	0.696231i
$310$	189.453	+	154.579i	0.611139	+	0.498643i
$311$	−180.249	−	312.201i	−0.579580	−	1.00386i	−0.995527	−	0.0944728i	$-0.969883\pi$
$311$	−180.249	−	312.201i	−0.579580	−	1.00386i	0.415948	−	0.909388i	$-0.363450\pi$
$312$	282.217	−	249.305i	0.904541	−	0.799055i
$313$	−236.607	−	136.605i	−0.755934	−	0.436439i	0.0719001	−	0.997412i	$-0.477094\pi$
$313$	−236.607	−	136.605i	−0.755934	−	0.436439i	−0.827834	+	0.560973i	$0.810427\pi$
$314$	279.924	−	106.267i	0.891477	−	0.338430i
$315$	−66.4751	−	101.644i	−0.211032	−	0.322679i
$316$	349.485	+	393.962i	1.10596	+	1.24672i
$317$	−146.207	−	545.652i	−0.461221	−	1.72130i	−0.669123	−	0.743152i	$-0.733330\pi$
$317$	−146.207	−	545.652i	−0.461221	−	1.72130i	0.207902	−	0.978150i	$-0.433337\pi$
$318$	−11.7840	+	6.77078i	−0.0370567	+	0.0212917i
$319$	189.021	+	327.394i	0.592543	+	1.02631i
$320$	89.2850	+	248.968i	0.279016	+	0.778024i
$321$	−37.7471	+	364.794i	−0.117592	+	1.13643i
$322$	−26.9104	+	19.3999i	−0.0835725	+	0.0602482i
$323$	641.020	−	641.020i	1.98458	−	1.98458i
$324$	217.027	−	240.573i	0.669835	−	0.742510i
$325$	−87.8772	+	87.8772i	−0.270392	+	0.270392i
$326$	−36.5524	+	225.386i	−0.112124	+	0.691368i
$327$	−5.48970	+	53.0534i	−0.0167881	+	0.162243i
$328$	149.158	+	137.328i	0.454749	+	0.418684i
$329$	−0.172046	−	0.297992i	−0.000522936	−	0.000905751i
$330$	−221.595	−	59.8718i	−0.671499	−	0.181430i
$331$	77.7891	+	290.313i	0.235012	+	0.877078i	0.978143	+	0.207932i	$0.0666733\pi$
$331$	77.7891	+	290.313i	0.235012	+	0.877078i	−0.743131	+	0.669146i	$0.766660\pi$
$332$	−158.102	−	9.45861i	−0.476211	−	0.0284898i
$333$	−153.399	−	234.555i	−0.460658	−	0.704370i
$334$	−107.998	+	240.175i	−0.323349	+	0.719086i
$335$	202.911	+	117.150i	0.605703	+	0.349703i
$336$	−72.9904	+	138.702i	−0.217233	+	0.412804i
$337$	32.9832	+	57.1286i	0.0978731	+	0.169521i	0.910804	−	0.412839i	$-0.135463\pi$
$337$	32.9832	+	57.1286i	0.0978731	+	0.169521i	−0.812931	+	0.582360i	$0.802129\pi$
$338$	15.5672	+	153.572i	0.0460567	+	0.454354i
$339$	−623.041	−	238.012i	−1.83788	−	0.702100i
$340$	−254.095	+	385.009i	−0.747339	+	1.13238i
$341$	193.641	+	193.641i	0.567863	+	0.567863i
$342$	545.814	+	209.815i	1.59595	+	0.613495i
$343$		−	285.185i		−	0.831444i
$344$	13.6205	+	21.4920i	0.0395946	+	0.0624768i
$345$	−51.0112	−	36.9364i	−0.147859	−	0.107062i
$346$	14.9536	−	18.3272i	0.0432186	−	0.0529688i
$347$	118.599	−	442.617i	0.341784	−	1.27555i	−0.554542	−	0.832156i	$-0.687106\pi$
$347$	118.599	−	442.617i	0.341784	−	1.27555i	0.896325	−	0.443398i	$-0.146227\pi$
$348$	285.752	+	398.125i	0.821126	+	1.14404i
$349$	−56.2276	+	15.0662i	−0.161111	+	0.0431695i	−0.338473	−	0.940976i	$-0.609910\pi$
$349$	−56.2276	+	15.0662i	−0.161111	+	0.0431695i	0.177362	+	0.984146i	$0.443244\pi$
$350$	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	0.0146940	−	0.999892i	$-0.495323\pi$
$353$	−297.894	−	171.989i	−0.843891	−	0.487221i	−0.858585	+	0.512671i	$0.828656\pi$
$354$	−116.254	−	67.4431i	−0.328401	−	0.190517i
$355$	41.2872	−	154.086i	0.116302	−	0.434045i
$356$	190.609	−	572.201i	0.535418	−	1.60731i
$357$	−269.924	+	43.1979i	−0.756091	+	0.121002i
$358$	−304.586	−	49.3969i	−0.850800	−	0.137980i
$359$	118.607			0.330382			0.165191	−	0.986262i	$-0.447176\pi$
$359$	118.607			0.330382			0.165191	+	0.986262i	$0.447176\pi$
$360$	−293.516	−	48.8591i	−0.815322	−	0.135720i
$361$			694.356i			1.92342i
$362$	−681.573	−	110.535i	−1.88280	−	0.305346i
$363$	98.9460	+	37.7990i	0.272578	+	0.104129i
$364$	−91.6846	−	183.279i	−0.251881	−	0.503514i
$365$	−303.364	−	81.2863i	−0.831135	−	0.222702i
$366$	0.344272	−	165.049i	0.000940635	−	0.450953i
$367$	46.8771	−	81.1935i	0.127730	−	0.221236i	−0.795066	−	0.606522i	$-0.792564\pi$
$367$	46.8771	−	81.1935i	0.127730	−	0.221236i	0.922797	+	0.385287i	$0.125897\pi$
$368$	−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
$371$	1.91431	+	7.14429i	0.00515985	+	0.0192568i
$372$	274.586	+	224.997i	0.738133	+	0.604830i
$373$	−253.134	−	67.8270i	−0.678643	−	0.181842i	−0.0969980	−	0.995285i	$-0.530924\pi$
$373$	−253.134	−	67.8270i	−0.678643	−	0.181842i	−0.581645	+	0.813443i	$0.697591\pi$
$374$	−326.616	+	400.302i	−0.873306	+	1.07033i
$375$	405.988	+	42.0096i	1.08263	+	0.112026i
$376$	−0.822605	−	0.184410i	−0.00218778	−	0.000490452i
$377$	−640.756			−1.69962
$378$	−96.2027	−	147.771i	−0.254504	−	0.390928i
$379$	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	$0.101357\pi$
$380$	−107.766	−	526.100i	−0.283595	−	1.38447i
$381$	38.7332	+	47.6742i	0.101662	+	0.125129i
$382$	59.6146	+	588.104i	0.156059	+	1.53954i
$383$	−600.753	+	346.845i	−1.56855	+	0.905601i	−0.572208	+	0.820108i	$0.693913\pi$
$383$	−600.753	+	346.845i	−1.56855	+	0.905601i	−0.996339	+	0.0854926i	$0.972754\pi$
$384$	128.873	+	361.729i	0.335606	+	0.942002i
$385$	−62.4602	+	108.184i	−0.162234	+	0.280998i
$386$	101.300	−	225.278i	0.262435	−	0.583621i
$387$	−28.5809	+	1.59025i	−0.0738525	+	0.00410918i
$388$	−89.2131	−	100.567i	−0.229931	−	0.259193i
$389$	−485.848	+	130.183i	−1.24897	+	0.334660i	−0.821938	−	0.569578i	$-0.807107\pi$
$389$	−485.848	+	130.183i	−1.24897	+	0.334660i	−0.427030	+	0.904237i	$0.640440\pi$
$390$	275.677	−	274.529i	0.706864	−	0.703921i
$391$	−122.762	+	70.8765i	−0.313968	+	0.181270i
$392$	−225.633	−	207.739i	−0.575595	−	0.529947i
$393$	129.896	+	290.491i	0.330525	+	0.739163i
$394$	−5.44348	+	33.5651i	−0.0138159	+	0.0851906i
$395$	384.743	+	384.743i	0.974032	+	0.974032i
$396$	−321.536	−	87.5947i	−0.811961	−	0.221199i
$397$	−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	$0.787718\pi$
$398$	513.566	−	370.234i	1.29037	−	0.930236i
$399$	186.638	−	257.757i	0.467764	−	0.646008i
$400$	−49.8286	−	116.525i	−0.124572	−	0.291312i
$401$	−169.181	+	97.6769i	−0.421899	+	0.243583i	−0.695889	−	0.718149i	$-0.744990\pi$
$401$	−169.181	+	97.6769i	−0.421899	+	0.243583i	0.273991	+	0.961732i	$0.411656\pi$
$402$	294.237	+	170.697i	0.731933	+	0.424620i
$403$	−448.342	+	120.133i	−1.11251	+	0.298096i
$404$	−23.2695	+	388.953i	−0.0575978	+	0.962755i
$405$	208.983	−	261.502i	0.516008	−	0.645683i
$406$	249.337	−	94.6553i	0.614131	−	0.233141i
$407$	−144.134	+	249.648i	−0.354138	+	0.613385i
$408$	−370.069	+	558.198i	−0.907032	+	1.36813i
$409$	223.887	−	129.261i	0.547401	−	0.316042i	−0.200672	−	0.979658i	$-0.564313\pi$
$409$	223.887	−	129.261i	0.547401	−	0.316042i	0.748073	+	0.663616i	$0.230979\pi$
$410$	162.304	+	132.428i	0.395864	+	0.322995i
$411$	−85.6472	+	13.7067i	−0.208387	+	0.0333497i
$412$	161.301	+	787.451i	0.391508	+	1.91129i
$413$	−51.7203	+	51.7203i	−0.125231	+	0.125231i
$414$	−73.9478	−	53.7798i	−0.178618	−	0.129903i
$415$	−163.639			−0.394312
$416$	−482.490	−	138.892i	−1.15983	−	0.333875i
$417$	115.517	+	258.334i	0.277019	+	0.619506i
$418$	−60.6570	−	598.388i	−0.145113	−	1.43155i
$419$	514.750	+	137.927i	1.22852	+	0.329181i	0.814003	−	0.580860i	$-0.197284\pi$
$419$	514.750	+	137.927i	1.22852	+	0.329181i	0.414517	+	0.910041i	$0.363950\pi$
$420$	−66.7194	+	147.552i	−0.158856	+	0.351313i
$421$	−17.9240	−	66.8934i	−0.0425749	−	0.158892i	0.941366	−	0.337388i	$-0.109543\pi$
$421$	−17.9240	−	66.8934i	−0.0425749	−	0.158892i	−0.983941	+	0.178496i	$0.942877\pi$
$422$	−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
$426$	60.4086	−	223.582i	0.141804	−	0.524839i
$427$	−86.7624	−	23.2479i	−0.203191	−	0.0544447i
$428$	437.322	−	218.768i	1.02178	−	0.511141i
$429$	338.186	−	274.761i	0.788312	−	0.640469i
$430$	15.3734	+	21.3250i	0.0357521	+	0.0495931i
$431$		−	244.536i		−	0.567368i	−0.958918	−	0.283684i	$-0.908443\pi$
$431$		−	244.536i		−	0.567368i	0.958918	−	0.283684i	$-0.0915567\pi$
$432$	−425.987	−	71.8239i	−0.986082	−	0.166259i
$433$	669.665			1.54657			0.773285	−	0.634058i	$-0.218612\pi$
$433$	669.665			1.54657			0.773285	+	0.634058i	$0.218612\pi$
$434$	156.716	−	112.978i	0.361098	−	0.260319i
$435$	319.270	+	392.969i	0.733953	+	0.903376i
$436$	63.6014	−	31.8163i	0.145875	−	0.0729732i
$437$	42.7111	−	159.400i	0.0977370	−	0.364759i
$438$	−440.187	−	118.933i	−1.00499	−	0.271535i
$439$	−213.398	−	123.205i	−0.486099	−	0.280650i	0.236855	−	0.971545i	$-0.423883\pi$
$439$	−213.398	−	123.205i	−0.486099	−	0.280650i	−0.722955	+	0.690895i	$0.757217\pi$
$440$	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
$443$	7.78561	−	2.08615i	0.0175747	−	0.00470914i	−0.250021	−	0.968240i	$-0.580438\pi$
$443$	7.78561	−	2.08615i	0.0175747	−	0.00470914i	0.267596	+	0.963531i	$0.413771\pi$
$444$	−153.963	+	340.493i	−0.346763	+	0.766875i
$445$	161.276	−	601.890i	0.362418	−	1.35256i
$446$	−469.728	+	47.6151i	−1.05320	+	0.106760i
$447$	558.082	−	249.553i	1.24851	−	0.558283i
$448$	208.269	−	17.2286i	0.464886	−	0.0384567i
$449$			374.634i			0.834374i	0.908821	+	0.417187i	$0.136984\pi$
$449$			374.634i			0.834374i	−0.908821	+	0.417187i	$0.863016\pi$
$450$	141.785	+	14.9702i	0.315078	+	0.0332672i
$451$	165.892	+	165.892i	0.367832	+	0.367832i
$452$	178.453	+	871.185i	0.394808	+	1.92740i
$453$	−28.2828	−	176.727i	−0.0624344	−	0.390125i
$454$	216.660	−	265.540i	0.477225	−	0.584889i
$455$	−105.866	−	183.365i	−0.232672	−	0.403000i
$456$	−154.865	−	764.135i	−0.339616	−	1.67573i
$457$	−370.182	−	213.725i	−0.810026	−	0.467669i	0.0369392	−	0.999318i	$-0.488239\pi$
$457$	−370.182	−	213.725i	−0.810026	−	0.467669i	−0.846965	+	0.531649i	$0.821573\pi$
$458$	−206.803	−	544.751i	−0.451534	−	1.18941i
$459$	−345.298	−	669.662i	−0.752284	−	1.45896i
$460$	−5.01480	+	83.8230i	−0.0109017	+	0.182224i
$461$	37.0296	+	138.197i	0.0803246	+	0.299776i	0.994388	−	0.105796i	$-0.0337391\pi$
$461$	37.0296	+	138.197i	0.0803246	+	0.299776i	−0.914063	+	0.405572i	$0.867072\pi$
$462$	−91.0091	+	156.876i	−0.196989	+	0.339558i
$463$	396.157	+	686.163i	0.855630	+	1.48199i	0.876059	+	0.482203i	$0.160163\pi$
$463$	396.157	+	686.163i	0.855630	+	1.48199i	−0.0204297	+	0.999791i	$0.506503\pi$
$464$	243.158	−	606.483i	0.524047	−	1.30708i
$465$	297.071	+	215.104i	0.638863	+	0.462590i
$466$	−270.346	−	375.007i	−0.580141	−	0.804737i
$467$	−99.2244	+	99.2244i	−0.212472	+	0.212472i	−0.805317	−	0.592845i	$-0.798005\pi$
$467$	−99.2244	+	99.2244i	−0.212472	+	0.212472i	0.592845	+	0.805317i	$0.298005\pi$
$468$	401.068	−	397.735i	0.856982	−	0.849861i
$469$	130.903	−	130.903i	0.279111	−	0.279111i
$470$	−0.859758	−	0.139433i	−0.00182927	−	0.000296666i
$471$	410.000	−	183.336i	0.870489	−	0.389249i
$472$	7.39309	+	179.049i	0.0156633	+	0.379340i
$473$	14.7214	+	25.4982i	0.0311234	+	0.0539073i
$474$	557.416	+	559.746i	1.17598	+	1.18090i
$475$	66.5980	+	248.547i	0.140206	+	0.523257i
$476$	241.874	+	272.657i	0.508139	+	0.572808i
$477$	−17.0613	+	11.1581i	−0.0357679	+	0.0233922i
$478$	122.647	+	55.1504i	0.256584	+	0.115377i
$479$	740.052	+	427.269i	1.54499	+	0.892003i	0.998512	+	0.0545314i	$0.0173665\pi$
$479$	740.052	+	427.269i	1.54499	+	0.892003i	0.546482	+	0.837471i	$0.315967\pi$
$480$	155.230	+	365.111i	0.323395	+	0.760649i
$481$	−244.298	−	423.136i	−0.507895	−	0.879700i
$482$	108.735	−	11.0222i	0.225591	−	0.0228676i
$483$	−38.6212	+	31.3780i	−0.0799611	+	0.0649649i
$484$	−28.3404	−	138.354i	−0.0585545	−	0.285855i
$485$	−98.2134	−	98.2134i	−0.202502	−	0.202502i
$486$	304.200	−	379.023i	0.625926	−	0.779883i
$487$			742.172i			1.52397i	0.647597	+	0.761983i	$0.275774\pi$
$487$			742.172i			1.52397i	−0.647597	+	0.761983i	$0.724226\pi$
$488$	−185.881	+	117.802i	−0.380903	+	0.241397i
$489$	−35.2516	+	340.677i	−0.0720892	+	0.696681i
$490$	−245.521	−	200.326i	−0.501063	−	0.408829i
$491$	40.3803	−	150.701i	0.0822409	−	0.306927i	−0.912537	−	0.408995i	$-0.865879\pi$
$491$	40.3803	−	150.701i	0.0822409	−	0.306927i	0.994777	+	0.102068i	$0.0325460\pi$
$492$	235.237	+	192.755i	0.478124	+	0.391778i
$493$	1100.77	−	294.952i	2.23281	−	0.598279i
$494$	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
$498$	−237.576	−	0.495556i	−0.477061	−	0.000995093i
$499$	199.066	−	742.924i	0.398929	−	1.48883i	−0.416053	−	0.909340i	$-0.636587\pi$
$499$	199.066	−	742.924i	0.398929	−	1.48883i	0.814983	−	0.579485i	$-0.196746\pi$
$500$	−243.472	−	486.706i	−0.486945	−	0.973411i
$501$	−140.964	+	369.000i	−0.281365	+	0.736527i
$502$	74.1014	−	456.917i	0.147612	−	0.910193i
$503$	−342.754			−0.681419			−0.340710	−	0.940169i	$-0.610667\pi$
$503$	−342.754			−0.681419			−0.340710	+	0.940169i	$0.610667\pi$
$504$	−97.3120	+	214.018i	−0.193079	+	0.424639i
$505$			402.576i			0.797179i
$506$	−15.0557	+	92.8348i	−0.0297543	+	0.183468i
$507$	36.5890	+	228.629i	0.0721677	+	0.450944i
$508$	25.8840	−	77.7029i	0.0509528	−	0.152959i
$509$	−0.0380156	−	0.0101863i	−7.46869e−5	−	2.00123e-5i	0.258782	−	0.965936i	$-0.416679\pi$
$509$	−0.0380156	−	0.0101863i	−7.46869e−5	−	2.00123e-5i	−0.258856	+	0.965916i	$0.583346\pi$
$510$	−347.223	+	598.521i	−0.680829	+	1.17357i
$511$	−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
$515$	214.941	+	802.172i	0.417362	+	1.55762i
$516$	22.2550	+	31.0068i	0.0431298	+	0.0600908i
$517$	−0.942250	−	0.252475i	−0.00182253	−	0.000488347i
$518$	157.571	+	128.566i	0.304191	+	0.248197i
$519$	20.8087	−	28.7380i	0.0400938	−	0.0553718i
$520$	−506.177	−	113.474i	−0.973418	−	0.218219i
$521$	−347.290			−0.666584			−0.333292	−	0.942824i	$-0.608160\pi$
$521$	−347.290			−0.666584			−0.333292	+	0.942824i	$0.608160\pi$
$522$	462.335	+	571.490i	0.885700	+	1.09481i
$523$	−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	$0.321326\pi$
$524$	233.705	−	354.114i	0.446002	−	0.675790i
$525$	27.6894	−	72.4823i	0.0527417	−	0.138061i
$526$	−22.6633	+	2.29732i	−0.0430861	+	0.00436752i
$527$	714.921	−	412.760i	1.35659	−	0.783225i
$528$	131.728	+	424.364i	0.249484	+	0.803721i
$529$	251.598	−	435.780i	0.475610	−	0.823781i
$530$	17.0752	+	7.67815i	0.0322174	+	0.0144871i
$531$	−179.922	−	90.9456i	−0.338836	−	0.171272i
$532$	−423.554	−	25.3395i	−0.796154	−	0.0476307i
$533$	−384.094	+	102.918i	−0.720627	+	0.193091i
$534$	235.968	−	873.354i	0.441888	−	1.63549i
$535$	437.527	−	252.606i	0.817807	−	0.472161i
$536$	−18.7118	−	453.168i	−0.0349100	−	0.845463i
$537$	−460.391	−	47.6390i	−0.857338	−	0.0887132i
$538$	−320.417	−	51.9643i	−0.595571	−	0.0965879i
$539$	−250.949	−	250.949i	−0.465582	−	0.465582i
$540$	−443.766	−	47.7907i	−0.821790	−	0.0885013i
$541$	−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	$0.960697\pi$
$542$	−192.466	−	266.977i	−0.355104	−	0.492578i
$543$	−1030.22	−	106.602i	−1.89727	−	0.196320i
$544$	892.818	+	16.5076i	1.64121	+	0.0303449i
$545$	63.6311	−	36.7374i	0.116754	−	0.0674082i
$546$	−153.144	−	266.535i	−0.280483	−	0.488160i
$547$	250.124	−	67.0205i	0.457265	−	0.122524i	−0.0228319	−	0.999739i	$-0.507268\pi$
$547$	250.124	−	67.0205i	0.457265	−	0.122524i	0.480097	+	0.877216i	$0.340602\pi$
$548$	76.7469	+	86.5141i	0.140049	+	0.157873i
$549$	−13.7538	−	247.192i	−0.0250525	−	0.450258i
$550$	−52.0465	−	137.099i	−0.0946300	−	0.249271i
$551$	−663.341	+	1148.94i	−1.20389	+	2.08519i
$552$	−7.53448	+	121.682i	−0.0136494	+	0.220438i
$553$	372.312	−	214.954i	0.673258	−	0.388706i
$554$	−624.436	+	765.311i	−1.12714	+	1.38143i
$555$	−137.778	+	360.661i	−0.248249	+	0.649839i
$556$	207.834	−	314.914i	0.373803	−	0.566391i
$557$	−500.873	+	500.873i	−0.899233	+	0.899233i	−0.995368	−	0.0961352i	$-0.969352\pi$
$557$	−500.873	+	500.873i	−0.899233	+	0.899233i	0.0961352	+	0.995368i	$0.469352\pi$
$558$	430.646	+	313.195i	0.771767	+	0.561281i
$559$	−49.9035			−0.0892728
$560$	213.731	−	30.6187i	0.381663	−	0.0546763i
$561$	−454.502	+	627.693i	−0.810164	+	1.11888i
$562$	−298.553	+	30.2636i	−0.531234	+	0.0538498i
$563$	−480.730	−	128.811i	−0.853872	−	0.228794i	−0.194771	−	0.980849i	$-0.562396\pi$
$563$	−480.730	−	128.811i	−0.853872	−	0.228794i	−0.659101	+	0.752055i	$0.729063\pi$
$564$	−1.24780	−	0.205036i	−0.00221241	−	0.000363540i
$565$	237.797	+	887.471i	0.420880	+	1.57075i
$566$	−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	$-0.790803\pi$
$569$	75.7994	−	131.288i	0.133215	−	0.230735i	0.924914	+	0.380176i	$0.124137\pi$
$570$	−206.865	−	778.522i	−0.362921	−	1.36583i
$571$	−152.061	−	40.7447i	−0.266307	−	0.0713568i	0.123194	−	0.992383i	$-0.460686\pi$
$571$	−152.061	−	40.7447i	−0.266307	−	0.0713568i	−0.389502	+	0.921026i	$0.627353\pi$
$572$	−551.200	−	183.613i	−0.963636	−	0.321002i
$573$	140.118	+	875.536i	0.244534	+	1.52799i
$574$	134.259	−	96.7884i	0.233900	−	0.168621i
$575$		−	40.2356i		−	0.0699749i
$576$	224.261	+	530.550i	0.389342	+	0.921093i
$577$	−407.893			−0.706921			−0.353460	−	0.935450i	$-0.614995\pi$
$577$	−407.893			−0.706921			−0.353460	+	0.935450i	$0.614995\pi$
$578$	572.753	+	794.488i	0.990922	+	1.37455i
$579$	132.221	−	346.113i	0.228360	−	0.597777i
$580$	213.356	−	640.489i	0.367856	−	1.10429i
$581$	−33.4637	+	124.888i	−0.0575968	+	0.214954i
$582$	−142.292	−	142.887i	−0.244487	−	0.245510i
$583$	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
$587$	−150.920	+	40.4388i	−0.257103	+	0.0688906i	−0.385068	−	0.922888i	$-0.625822\pi$
$587$	−150.920	+	40.4388i	−0.257103	+	0.0688906i	0.127965	+	0.991779i	$0.459155\pi$
$588$	−355.848	−	291.583i	−0.605183	−	0.495890i
$589$	−248.734	+	928.289i	−0.422299	+	1.57604i
$590$	18.6721	+	184.202i	0.0316477	+	0.312208i
$591$	−5.24977	+	50.7346i	−0.00888285	+	0.0858453i
$592$	493.210	−	70.6563i	0.833125	−	0.119352i
$593$			99.9702i			0.168584i	0.996441	+	0.0842919i	$0.0268628\pi$
$593$			99.9702i			0.168584i	−0.996441	+	0.0842919i	$0.973137\pi$
$594$	−489.076	−	103.375i	−0.823360	−	0.174032i
$595$	266.276	+	266.276i	0.447523	+	0.447523i
$596$	−680.311	−	448.987i	−1.14146	−	0.753333i
$597$	737.059	−	598.828i	1.23460	−	1.00306i
$598$	−123.509	−	100.774i	−0.206536	−	0.168518i
$599$	−346.084	−	599.435i	−0.577770	−	1.00073i	−0.995735	−	0.0922635i	$-0.970590\pi$
$599$	−346.084	−	599.435i	−0.577770	−	1.00073i	0.417965	−	0.908463i	$-0.362744\pi$
$600$	−84.6929	−	170.189i	−0.141155	−	0.283648i
$601$	757.737	+	437.479i	1.26079	+	0.727919i	0.973228	−	0.229842i	$-0.0738209\pi$
$601$	757.737	+	437.479i	1.26079	+	0.727919i	0.287565	+	0.957761i	$0.407154\pi$
$602$	19.4189	−	7.37196i	0.0322573	−	0.0122458i
$603$	455.379	+	230.182i	0.755190	+	0.381727i
$604$	−178.516	+	158.362i	−0.295556	+	0.262188i
$605$	−37.7649	−	140.940i	−0.0624213	−	0.232959i
$606$	−1.21914	+	584.471i	−0.00201178	+	0.964474i
$607$	−123.138	−	213.281i	−0.202863	−	0.351368i	0.746587	−	0.665288i	$-0.231691\pi$
$607$	−123.138	−	213.281i	−0.202863	−	0.351368i	−0.949450	+	0.313919i	$0.898358\pi$
$608$	−748.543	+	721.365i	−1.23116	+	1.18646i
$609$	365.200	−	163.303i	0.599672	−	0.268150i
$610$	−184.436	+	132.962i	−0.302355	+	0.217970i
$611$	1.16912	−	1.16912i	0.00191346	−	0.00191346i
$612$	−505.921	+	867.900i	−0.826669	+	1.41814i
$613$	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	$-0.116520\pi$
$614$	−131.859	+	813.060i	−0.214755	+	1.32420i
$615$	254.501	+	184.280i	0.413823	+	0.299642i
$616$	241.612	−	9.97640i	0.392227	−	0.0161955i
$617$	−175.404	−	303.809i	−0.284286	−	0.492398i	0.688150	−	0.725569i	$-0.258423\pi$
$617$	−175.404	−	303.809i	−0.284286	−	0.492398i	−0.972436	+	0.233171i	$0.925090\pi$
$618$	309.629	+	1165.27i	0.501018	+	1.88555i
$619$	224.675	+	838.498i	0.362964	+	1.35460i	0.870160	+	0.492770i	$0.164016\pi$
$619$	224.675	+	838.498i	0.362964	+	1.35460i	−0.507195	+	0.861831i	$0.669318\pi$
$620$	29.2044	−	488.156i	0.0471039	−	0.787348i
$621$	−115.387	−	74.1424i	−0.185808	−	0.119392i
$622$	−295.689	+	657.575i	−0.475385	+	1.05719i
$623$	−426.378	−	246.169i	−0.684395	−	0.395135i
$624$	−734.540	−	166.278i	−1.17715	−	0.266470i
$625$	−182.122	−	315.444i	−0.291395	−	0.504711i
$626$	55.1069	+	543.635i	0.0880302	+	0.868427i
$627$	−142.568	−	890.846i	−0.227381	−	1.42081i
$628$	−499.797	−	329.852i	−0.795856	−	0.525243i
$629$	614.463	+	614.463i	0.976889	+	0.976889i
$630$	−87.1560	+	226.728i	−0.138343	+	0.359885i
$631$		−	345.555i		−	0.547631i	−0.961782	−	0.273815i	$-0.911714\pi$
$631$		−	345.555i		−	0.547631i	0.961782	−	0.273815i	$-0.0882857\pi$
$632$	230.402	−	1027.76i	0.364560	−	1.62621i
$633$	−766.499	+	342.749i	−1.21090	+	0.541467i
$634$	−714.249	+	875.386i	−1.12658	+	1.38074i
$635$	21.9007	−	81.7346i	0.0344893	−	0.128716i
$636$	24.7671	+	11.1991i	0.0389419	+	0.0176086i
$637$	581.026	−	155.686i	0.912129	−	0.244404i
$638$	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	0.378537	−	0.925586i	$-0.376427\pi$
$641$	−149.850	−	86.5157i	−0.233775	−	0.134970i	−0.612312	+	0.790616i	$0.709760\pi$
$642$	635.979	−	365.416i	0.990622	−	0.569184i
$643$	−313.476	+	1169.91i	−0.487521	+	1.81945i	0.0809064	+	0.996722i	$0.474219\pi$
$643$	−313.476	+	1169.91i	−0.487521	+	1.81945i	−0.568428	+	0.822733i	$0.692448\pi$
$644$	62.9476	+	20.9688i	0.0977448	+	0.0325603i
$645$	24.8654	+	30.6052i	0.0385510	+	0.0474500i
$646$	−1789.70	−	290.247i	−2.77043	−	0.449299i
$647$	687.033			1.06188			0.530938	−	0.847411i	$-0.321840\pi$
$647$	687.033			1.06188			0.530938	+	0.847411i	$0.321840\pi$
$648$	−644.129	−	70.7279i	−0.994026	−	0.109148i
$649$			207.360i			0.319506i
$650$	245.349	+	39.7899i	0.377460	+	0.0612152i
$651$	224.916	−	182.735i	0.345494	−	0.280698i
$652$	408.410	−	204.305i	0.626396	−	0.313352i
$653$	166.251	+	44.5469i	0.254596	+	0.0682188i	0.383860	−	0.923391i	$-0.374595\pi$
$653$	166.251	+	44.5469i	0.254596	+	0.0682188i	−0.129264	+	0.991610i	$0.541261\pi$
$654$	92.4928	−	53.1438i	0.141426	−	0.0812597i
$655$	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
$659$	−127.944	−	477.492i	−0.194148	−	0.724570i	−0.992486	−	0.122360i	$-0.960954\pi$
$659$	−127.944	−	477.492i	−0.194148	−	0.724570i	0.798338	−	0.602210i	$-0.205713\pi$
$660$	162.038	+	429.533i	0.245513	+	0.650808i
$661$	−955.752	−	256.093i	−1.44592	−	0.387433i	−0.551316	−	0.834297i	$-0.685874\pi$
$661$	−955.752	−	256.093i	−1.44592	−	0.387433i	−0.894602	+	0.446864i	$0.852541\pi$
$662$	380.014	−	465.747i	0.574040	−	0.703545i
$663$	−536.187	−	1199.09i	−0.808729	−	1.80858i
$664$	169.568	+	267.562i	0.255373	+	0.402955i
$665$	−438.388			−0.659231
$666$	−201.123	+	523.201i	−0.301986	+	0.785587i
$667$	146.689	−	146.689i	0.219923	−	0.219923i
$668$	515.965	−	105.690i	0.772402	−	0.158219i
$669$	−699.305	+	111.915i	−1.04530	+	0.167286i
$670$	−47.2588	−	466.213i	−0.0705355	−	0.695840i
$671$	−220.529	+	127.323i	−0.328658	+	0.189751i
$672$	310.394	−	43.8059i	0.461896	−	0.0651874i
$673$	22.7835	−	39.4622i	0.0338536	−	0.0586362i	−0.848602	−	0.529031i	$-0.822555\pi$
$673$	22.7835	−	39.4622i	0.0338536	−	0.0586362i	0.882456	+	0.470395i	$0.155889\pi$
$674$	54.1072	−	120.328i	0.0802778	−	0.178527i
$675$	213.618	+	10.1599i	0.316472	+	0.0150517i
$676$	230.943	−	204.870i	0.341632	−	0.303062i
$677$	316.919	−	84.9183i	0.468123	−	0.125433i	−0.0170439	−	0.999855i	$-0.505425\pi$
$677$	316.919	−	84.9183i	0.468123	−	0.125433i	0.485167	+	0.874422i	$0.338759\pi$
$678$	342.553	+	1289.18i	0.505241	+	1.90144i
$679$	−95.0401	+	54.8714i	−0.139971	+	0.0808121i
$680$	921.811	−	38.0625i	1.35560	−	0.0559743i
$681$	301.493	−	416.379i	0.442721	−	0.611422i
$682$	87.6788	−	540.637i	0.128561	−	0.792723i
$683$	−553.415	−	553.415i	−0.810271	−	0.810271i	0.174404	−	0.984674i	$-0.444200\pi$
$683$	−553.415	−	553.415i	−0.810271	−	0.810271i	−0.984674	+	0.174404i	$0.944200\pi$
$684$	−297.975	−	1130.91i	−0.435636	−	1.65337i
$685$	84.4895	+	84.4895i	0.123342	+	0.123342i
$686$	−462.676	+	333.547i	−0.674454	+	0.486220i
$687$	−356.785	−	797.889i	−0.519337	−	1.16141i
$688$	18.9377	−	47.2342i	0.0275257	−	0.0686543i
$689$	−30.7784	+	17.7699i	−0.0446712	+	0.0257909i
$690$	−0.262736	+	125.959i	−0.000380776	+	0.182549i
$691$	−1061.70	+	284.482i	−1.53647	+	0.411696i	−0.925123	−	0.379667i	$-0.876038\pi$
$691$	−1061.70	+	284.482i	−1.53647	+	0.411696i	−0.611346	+	0.791363i	$0.709372\pi$
$692$	−47.2230	−	2.82516i	−0.0682413	−	0.00408260i
$693$	−122.724	+	242.791i	−0.177091	+	0.350348i
$694$	−856.799	+	325.265i	−1.23458	+	0.468681i
$695$	194.916	−	337.604i	0.280454	−	0.485761i
$696$	311.697	−	929.234i	0.447840	−	1.33511i
$697$	612.472	−	353.611i	0.878726	−	0.507333i
$698$	90.2056	+	73.6010i	0.129234	+	0.105445i
$699$	−437.266	−	538.203i	−0.625560	−	0.769961i
$700$	−101.350	+	20.7606i	−0.144786	+	0.0296579i
$701$	−305.590	+	305.590i	−0.435934	+	0.435934i	−0.890641	−	0.454707i	$-0.849744\pi$
$701$	−305.590	+	305.590i	−0.435934	+	0.435934i	0.454707	+	0.890641i	$0.349744\pi$
$702$	566.215	−	630.285i	0.806574	−	0.897842i
$703$	−1011.63			−1.43902
$704$	382.964	−	452.038i	0.543983	−	0.642099i
$705$	−1.29955	−	0.134471i	−0.00184333	−	0.000190739i
$706$	69.3807	+	684.448i	0.0982730	+	0.969473i
$707$	307.243	+	82.3255i	0.434573	+	0.116443i
$708$	26.5509	+	267.487i	0.0375013	+	0.377807i
$709$	147.786	+	551.544i	0.208442	+	0.777918i	0.988373	+	0.152051i	$0.0485878\pi$
$709$	147.786	+	551.544i	0.208442	+	0.777918i	−0.779930	+	0.625866i	$0.784745\pi$
$710$	−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
$714$	385.781	+	387.394i	0.540310	+	0.542568i
$715$	−579.799	−	155.357i	−0.810908	−	0.217282i
$716$	276.098	+	551.925i	0.385612	+	0.770845i
$717$	188.433	+	71.9845i	0.262808	+	0.100397i
$718$	−138.721	−	192.425i	−0.193204	−	0.268001i
$719$			127.191i			0.176900i	0.996081	+	0.0884500i	$0.0281914\pi$
$719$			127.191i			0.176900i	−0.996081	+	0.0884500i	$0.971809\pi$
$720$	264.023	+	533.336i	0.366699	+	0.740745i
$721$	656.167			0.910079
$722$	1126.50	−	812.105i	1.56025	−	1.12480i
$723$	161.878	−	25.9065i	0.223898	−	0.0358319i
$724$	617.825	+	1235.04i	0.853349	+	1.70586i
$725$	−83.7200	+	312.447i	−0.115476	+	0.430962i
$726$	−54.4014	−	204.736i	−0.0749330	−	0.282005i
$727$	393.884	+	227.409i	0.541794	+	0.312805i	0.745806	−	0.666164i	$-0.232065\pi$
$727$	393.884	+	227.409i	0.541794	+	0.312805i	−0.204012	+	0.978968i	$0.565398\pi$
$728$	−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
$731$	85.7307	−	22.9715i	0.117279	−	0.0314247i
$732$	−268.173	+	192.479i	−0.366357	+	0.262950i
$733$	−158.947	+	593.197i	−0.216844	+	0.809272i	0.768665	+	0.639651i	$0.220921\pi$
$733$	−158.947	+	593.197i	−0.216844	+	0.809272i	−0.985509	+	0.169621i	$0.945746\pi$
$734$	−186.552	+	18.9103i	−0.254158	+	0.0257634i
$735$	−384.988	−	278.763i	−0.523793	−	0.379270i
$736$	142.253	−	78.6602i	0.193279	−	0.106875i
$737$		−	524.823i		−	0.712107i
$738$	368.934	+	268.314i	0.499910	+	0.363569i
$739$	−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	$0.818654\pi$
$740$	504.304	−	103.301i	0.681492	−	0.139597i
$741$	1428.45	+	545.692i	1.92774	+	0.736427i
$742$	9.35174	−	11.4615i	0.0126034	−	0.0154468i
$743$	243.358	+	421.509i	0.327535	+	0.567307i	0.982022	−	0.188766i	$-0.0604489\pi$
$743$	243.358	+	421.509i	0.327535	+	0.567307i	−0.654487	+	0.756073i	$0.727116\pi$
$744$	43.8781	−	708.631i	0.0589760	−	0.952461i
$745$	−729.330	−	421.079i	−0.978967	−	0.565207i
$746$	186.020	+	490.006i	0.249356	+	0.656844i
$747$	−355.815	+	19.7977i	−0.476325	+	0.0265029i
$748$	1031.44	+	61.7071i	1.37893	+	0.0824961i
$749$	−103.314	−	385.574i	−0.137936	−	0.514785i
$750$	−406.680	−	707.795i	−0.542240	−	0.943727i
$751$	32.1779	+	55.7338i	0.0428467	+	0.0742127i	0.886653	−	0.462434i	$-0.153024\pi$
$751$	32.1779	+	55.7338i	0.0428467	+	0.0742127i	−0.843807	+	0.536647i	$0.819691\pi$
$752$	0.662921	+	1.55025i	0.000881544	+	0.00206150i
$753$	71.4643	−	690.642i	0.0949061	−	0.917188i
$754$	749.416	+	1039.54i	0.993920	+	1.37871i
$755$	−174.338	+	174.338i	−0.230911	+	0.230911i
$756$	−127.222	+	328.906i	−0.168284	+	0.435061i
$757$	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	$0.197350\pi$
$758$	−673.681	−	109.255i	−0.888761	−	0.144137i
$759$	−14.5199	+	140.322i	−0.0191303	+	0.184878i
$760$	−727.488	+	790.153i	−0.957221	+	1.03967i
$761$	480.465	+	832.190i	0.631360	+	1.09355i	0.987274	+	0.159029i	$0.0508362\pi$
$761$	480.465	+	832.190i	0.631360	+	1.09355i	−0.355914	+	0.934519i	$0.615830\pi$
$762$	32.0436	−	118.598i	0.0420520	−	0.155641i
$763$	−15.0254	−	56.0755i	−0.0196925	−	0.0734935i
$764$	884.399	−	784.552i	1.15759	−	1.02690i
$765$	−468.223	+	926.309i	−0.612057	+	1.21086i
$766$	1265.34	+	568.981i	1.65188	+	0.742795i
$767$	−304.374	−	175.730i	−0.396837	−	0.229114i
$768$	436.131	−	632.150i	0.567879	−	0.823112i
$769$	−118.778	−	205.729i	−0.154457	−	0.267528i	0.778404	−	0.627764i	$-0.216030\pi$
$769$	−118.778	−	205.729i	−0.154457	−	0.267528i	−0.932861	+	0.360236i	$0.882696\pi$
$770$	248.567	−	25.1966i	0.322814	−	0.0327228i
$771$	−817.232	−	312.196i	−1.05996	−	0.404923i
$772$	−483.962	+	99.1346i	−0.626894	+	0.128413i
$773$	−792.351	−	792.351i	−1.02503	−	1.02503i	−0.999679	−	0.0253553i	$-0.991928\pi$
$773$	−792.351	−	792.351i	−1.02503	−	1.02503i	−0.0253553	−	0.999679i	$-0.508072\pi$
$774$	36.0077	+	44.5089i	0.0465215	+	0.0575050i
$775$			234.318i			0.302346i
$776$	−58.8148	+	262.358i	−0.0757922	+	0.338090i
$777$	247.078	+	178.905i	0.317990	+	0.230251i
$778$	779.443	+	635.967i	1.00185	+	0.817438i
$779$	−213.090	+	795.264i	−0.273543	+	1.02088i
$780$	−767.814	−	126.166i	−0.984377	−	0.161751i
$781$	−345.145	+	92.4814i	−0.441927	+	0.118414i
$782$	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
$786$	319.360	−	550.493i	0.406310	−	0.700372i
$787$	−70.3009	+	262.367i	−0.0893277	+	0.333376i	−0.996099	−	0.0882483i	$-0.971873\pi$
$787$	−70.3009	+	262.367i	−0.0893277	+	0.333376i	0.906771	+	0.421624i	$0.138540\pi$
$788$	60.8216	−	30.4257i	0.0771847	−	0.0386113i
$789$	−33.7398	+	5.39961i	−0.0427627	+	0.00684361i
$790$	174.208	−	1074.18i	0.220516	−	1.35972i
$791$	725.940			0.917750
$792$	233.952	+	624.100i	0.295393	+	0.788005i
$793$		−	431.607i		−	0.544271i
$794$	−30.0529	+	185.310i	−0.0378501	+	0.233387i
$795$	26.2341	+	10.0218i	0.0329988	+	0.0126061i
$796$	−1201.31	−	400.175i	−1.50919	−	0.502733i
$797$	−434.259	−	116.359i	−0.544867	−	0.145997i	−0.0241220	−	0.999709i	$-0.507679\pi$
$797$	−434.259	−	116.359i	−0.544867	−	0.145997i	−0.520745	+	0.853712i	$0.674346\pi$
$798$	−636.465	−	1.32759i	−0.797576	−	0.00166365i
$799$	−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
$803$	182.077	+	679.522i	0.226746	+	0.846229i
$804$	−67.1998	−	677.005i	−0.0835819	−	0.842046i
$805$	66.2137	+	17.7419i	0.0822531	+	0.0220396i
$806$	719.272	+	586.871i	0.892397	+	0.728128i
$807$	−484.320	−	50.1150i	−0.600148	−	0.0621004i
$808$	658.241	−	417.160i	0.814655	−	0.516287i
$809$	934.284			1.15486			0.577431	−	0.816439i	$-0.304055\pi$
$809$	934.284			1.15486			0.577431	+	0.816439i	$0.304055\pi$
$810$	−668.675	−	33.2009i	−0.825524	−	0.0409888i
$811$	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	$0.0946834\pi$
$812$	−445.186	−	293.810i	−0.548258	−	0.361835i
$813$	−311.301	−	383.160i	−0.382904	−	0.471292i
$814$	573.597	−	58.1440i	0.704665	−	0.0714300i
$815$	408.601	−	235.906i	0.501351	−	0.289455i
$816$	1338.43	−	52.4687i	1.64023	−	0.0642999i
$817$	−51.6624	+	89.4819i	−0.0632343	+	0.109525i
$818$	−471.563	−	212.046i	−0.576483	−	0.259225i
$819$	−252.377	−	385.898i	−0.308153	−	0.471182i
$820$	25.0194	−	418.203i	0.0305115	−	0.510003i
$821$	1120.13	−	300.138i	1.36435	−	0.365576i	0.498936	−	0.866639i	$-0.333724\pi$
$821$	1120.13	−	300.138i	1.36435	−	0.365576i	0.865411	+	0.501063i	$0.167057\pi$
$822$	122.409	+	122.920i	0.148916	+	0.149538i
$823$	−466.787	+	269.500i	−0.567178	+	0.327460i	−0.756021	−	0.654547i	$-0.772859\pi$
$823$	−466.787	+	269.500i	−0.567178	+	0.327460i	0.188844	+	0.982007i	$0.439526\pi$
$824$	1088.88	−	1182.68i	1.32146	−	1.43529i
$825$	−89.7929	−	200.807i	−0.108840	−	0.243402i
$826$	144.400	+	23.4184i	0.174819	+	0.0283516i
$827$	−207.573	−	207.573i	−0.250995	−	0.250995i	0.570383	−	0.821379i	$-0.306795\pi$
$827$	−207.573	−	207.573i	−0.250995	−	0.250995i	−0.821379	+	0.570383i	$0.806795\pi$
$828$	−0.762895	+	182.870i	−0.000921371	+	0.220858i
$829$	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	$0.644742\pi$
$830$	191.389	+	265.483i	0.230589	+	0.319860i
$831$	−868.932	+	1200.04i	−1.04565	+	1.44410i
$832$	338.977	+	945.222i	0.407424	+	1.13608i
$833$	−926.498	+	534.914i	−1.11224	+	0.642153i
$834$	284.007	−	489.554i	0.340536	−	0.586995i
$835$	525.610	−	140.837i	0.629473	−	0.168667i
$836$	−899.863	+	798.271i	−1.07639	+	0.954869i
$837$	671.972	+	431.779i	0.802834	+	0.515865i
$838$	−378.273	−	996.431i	−0.451400	−	1.18906i
$839$	521.992	−	904.116i	0.622159	−	1.07761i	−0.366923	−	0.930251i	$-0.619589\pi$
$839$	521.992	−	904.116i	0.622159	−	1.07761i	0.989083	−	0.147361i	$-0.0470778\pi$
$840$	317.417	−	64.3300i	0.377877	−	0.0765833i
$841$	−715.998	+	413.381i	−0.851365	+	0.491536i
$842$	−87.5623	+	107.317i	−0.103993	+	0.127454i
$843$	−444.469	+	71.1315i	−0.527247	+	0.0843789i
$844$	934.375	+	616.662i	1.10708	+	0.730642i
$845$	225.538	−	225.538i	0.266909	−	0.266909i
$846$	−1.88631	−	0.199164i	−0.00222969	−	0.000235419i
$847$	−115.288			−0.136113
$848$	−5.13946	−	35.8756i	−0.00606068	−	0.0423061i
$849$	−263.978	−	590.341i	−0.310928	−	0.695337i
$850$	−439.808	+	44.5822i	−0.517421	+	0.0524496i
$851$	152.796	+	40.9415i	0.179549	+	0.0481099i
$852$	−433.385	+	163.491i	−0.508667	+	0.191891i
$853$	169.458	+	632.427i	0.198661	+	0.741415i	0.991289	+	0.131708i	$0.0420461\pi$
$853$	169.458	+	632.427i	0.198661	+	0.741415i	−0.792627	+	0.609707i	$0.791287\pi$
$854$	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	$-0.676852\pi$
$857$	404.536	−	700.677i	0.472038	−	0.817593i	0.999488	+	0.0319926i	$0.0101853\pi$
$858$	−841.299	−	227.307i	−0.980535	−	0.264927i
$859$	−1414.17	−	378.926i	−1.64630	−	0.441124i	−0.687724	−	0.725972i	$-0.741390\pi$
$859$	−1414.17	−	378.926i	−1.64630	−	0.441124i	−0.958573	+	0.284848i	$0.908057\pi$
$860$	16.6167	−	49.8826i	0.0193217	−	0.0580030i
$861$	192.686	−	156.549i	0.223793	−	0.181822i
$862$	−396.727	+	286.004i	−0.460240	+	0.331791i
$863$		−	1189.89i		−	1.37878i	−0.724389	−	0.689391i	$-0.757878\pi$
$863$		−	1189.89i		−	1.37878i	0.724389	−	0.689391i	$-0.242122\pi$
$864$	381.701	+	775.113i	0.441784	+	0.897121i
$865$	−48.8769			−0.0565051
$866$	−783.227	−	1086.44i	−0.904419	−	1.25455i
$867$	926.389	+	1140.23i	1.06850	+	1.31515i
$868$	−366.585	−	122.115i	−0.422333	−	0.140685i
$869$	315.443	−	1177.25i	0.362995	−	1.35472i
$870$	264.129	−	977.582i	0.303596	−	1.12366i
$871$	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
$875$	−429.114	+	114.981i	−0.490416	+	0.131407i
$876$	321.882	+	853.248i	0.367445	+	0.974027i
$877$	−14.4060	+	53.7637i	−0.0164264	+	0.0613042i	−0.973653	−	0.228037i	$-0.926769\pi$
$877$	−14.4060	+	53.7637i	−0.0164264	+	0.0613042i	0.957226	+	0.289341i	$0.0934361\pi$
$878$	49.7012	+	490.308i	0.0566073	+	0.558437i
$879$	1137.42	−	508.610i	1.29399	−	0.578623i
$880$	367.072	−	489.831i	0.417128	−	0.556626i
$881$			128.785i			0.146181i	0.997325	+	0.0730903i	$0.0232861\pi$
$881$			128.785i			0.146181i	−0.997325	+	0.0730903i	$0.976714\pi$
$882$	−558.093	−	405.883i	−0.632759	−	0.460185i
$883$	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	$0.518571\pi$
$884$	−964.690	+	1461.71i	−1.09128	+	1.65352i
$885$	43.8869	+	274.230i	0.0495897	+	0.309864i
$886$	−12.4904	−	10.1912i	−0.0140975	−	0.0115025i
$887$	470.265	+	814.522i	0.530174	+	0.918289i	0.999380	+	0.0352001i	$0.0112069\pi$
$887$	470.265	+	814.522i	0.530174	+	0.918289i	−0.469206	+	0.883089i	$0.655460\pi$
$888$	732.477	−	148.449i	0.824861	−	0.167172i
$889$	−57.9006	−	33.4290i	−0.0651301	−	0.0376029i
$890$	−1165.11	+	442.309i	−1.30912	+	0.496977i
$891$	−741.332	−	112.522i	−0.832022	−	0.126287i
$892$	626.634	+	706.383i	0.702505	+	0.791909i
$893$	−0.886022	−	3.30668i	−0.000992186	−	0.00370289i
$894$	−1057.59	−	613.544i	−1.18298	−	0.686290i
$895$	318.803	+	552.183i	0.356205	+	0.616964i
$896$	−271.538	−	317.739i	−0.303056	−	0.354619i
$897$	−193.668	−	140.231i	−0.215906	−	0.156334i
$898$	607.795	−	438.164i	0.676831	−	0.487933i
$899$	−854.264	+	854.264i	−0.950238	+	0.950238i
$900$	−141.542	−	247.537i	−0.157269	−	0.275041i
$901$	44.6954	−	44.6954i	0.0496064	−	0.0496064i
$902$	75.1144	−	463.163i	0.0832754	−	0.513485i
$903$	28.4426	−	12.7184i	0.0314979	−	0.0140846i
$904$	1204.67	−	1308.44i	1.33260	−	1.44739i
$905$	713.386	+	1235.62i	0.788272	+	1.36533i
$906$	−253.637	+	252.581i	−0.279953	+	0.278787i
$907$	24.6323	+	91.9292i	0.0271580	+	0.101355i	0.978175	−	0.207785i	$-0.0666254\pi$
$907$	24.6323	+	91.9292i	0.0271580	+	0.101355i	−0.951016	+	0.309140i	$0.899959\pi$
$908$	−684.205	−	40.9332i	−0.753529	−	0.0450806i
$909$	48.7050	+	875.355i	0.0535809	+	0.962987i
$910$	−173.667	+	386.213i	−0.190843	+	0.424410i
$911$	520.832	+	300.702i	0.571714	+	0.330079i	0.757834	−	0.652448i	$-0.226258\pi$
$911$	520.832	+	300.702i	0.571714	+	0.330079i	−0.186119	+	0.982527i	$0.559591\pi$
$912$	−1058.58	+	1144.96i	−1.16073	+	1.25544i
$913$	183.272	+	317.437i	0.200736	+	0.347685i
$914$	86.2169	+	850.539i	0.0943293	+	0.930568i
$915$	−264.700	+	215.057i	−0.289289	+	0.235035i
$916$	−641.915	+	972.640i	−0.700781	+	1.06183i
$917$	−244.909	−	244.909i	−0.267076	−	0.267076i
$918$	−682.586	+	1343.42i	−0.743557	+	1.46343i
$919$		−	1799.82i		−	1.95846i	−0.202760	−	0.979229i	$-0.564991\pi$
$919$		−	1799.82i		−	1.95846i	0.202760	−	0.979229i	$-0.435009\pi$
$920$	141.857	−	89.9019i	0.154193	−	0.0977194i
$921$	−127.167	+	1228.96i	−0.138075	+	1.33438i
$922$	180.897	−	221.708i	0.196200	−	0.240464i
$923$	156.750	−	584.998i	0.169826	−	0.633801i
$924$	360.953	−	35.8284i	0.390642	−	0.0387753i
$925$	−238.250	+	63.8389i	−0.257567	+	0.0690150i
$926$	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	0.999764	−	0.0217073i	$-0.00691020\pi$
$929$	1375.71	+	794.265i	1.48085	+	0.854968i	0.481083	+	0.876675i	$0.340244\pi$
$930$	1.53008	−	733.541i	0.00164525	−	0.788754i
$931$	322.346	−	1203.01i	0.346236	−	1.29217i
$932$	−292.209	+	877.202i	−0.313529	+	0.941204i
$933$	−385.946	+	1010.29i	−0.413661	+	1.08284i
$934$	277.029	+	44.9278i	0.296605	+	0.0481025i
$935$	1067.57			1.14178
$936$	−1114.35	−	185.497i	−1.19055	−	0.198180i
$937$		−	848.445i		−	0.905491i	−0.891640	−	0.452745i	$-0.850445\pi$
$937$		−	848.445i		−	0.905491i	0.891640	−	0.452745i	$-0.149555\pi$
$938$	−365.475	−	59.2715i	−0.389632	−	0.0631893i
$939$	129.523	+	809.333i	0.137937	+	0.861909i
$940$	0.779344	+	1.55792i	0.000829089	+	0.00165736i
$941$	809.682	+	216.954i	0.860449	+	0.230557i	0.661953	−	0.749545i	$-0.269728\pi$
$941$	809.682	+	216.954i	0.860449	+	0.230557i	0.198496	+	0.980102i	$0.436394\pi$
$942$	−776.967	−	450.746i	−0.824806	−	0.478499i
$943$	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
$947$	−76.8753	−	286.902i	−0.0811777	−	0.302959i	0.913385	−	0.407096i	$-0.133459\pi$
$947$	−76.8753	−	286.902i	−0.0811777	−	0.302959i	−0.994563	+	0.104137i	$0.966792\pi$
$948$	256.173	−	1559.00i	0.270224	−	1.64452i
$949$	−1151.74	−	308.609i	−1.21364	−	0.325194i
$950$	325.344	−	398.742i	0.342467	−	0.419729i
$951$	−993.911	+	1372.65i	−1.04512	+	1.44337i
$952$	159.459	−	711.303i	0.167498	−	0.747168i
$953$	−748.621			−0.785541			−0.392771	−	0.919637i	$-0.628483\pi$
$953$	−748.621			−0.785541			−0.392771	+	0.919637i	$0.628483\pi$
$954$	38.0571	+	14.6294i	0.0398921	+	0.0153349i
$955$	863.702	−	863.702i	0.904400	−	0.904400i
$956$	−53.9715	−	263.482i	−0.0564556	−	0.275609i
$957$	404.728	−	1059.45i	0.422913	−	1.10706i
$958$	−172.361	−	1700.36i	−0.179918	−	1.77491i
$959$	81.7597	−	47.2040i	0.0852551	−	0.0492221i
$960$	410.792	−	678.867i	0.427908	−	0.707153i
$961$	42.9279	−	74.3533i	0.0446700	−	0.0773707i
$962$	−400.757	+	891.232i	−0.416587	+	0.926437i
$963$	920.791	−	602.197i	0.956169	−	0.625334i
$964$	−145.056	−	163.517i	−0.150473	−	0.169623i
$965$	−493.009	+	132.101i	−0.510890	+	0.136893i
$966$	96.0774	+	25.9588i	0.0994590	+	0.0268724i
$967$	730.298	−	421.638i	0.755220	−	0.436027i	−0.0723569	−	0.997379i	$-0.523052\pi$
$967$	730.298	−	421.638i	0.755220	−	0.436027i	0.827577	+	0.561352i	$0.189719\pi$
$968$	−191.315	+	207.795i	−0.197640	+	0.214664i
$969$	−2705.18	−	279.918i	−2.79172	−	0.288873i
$970$	−44.4700	+	274.207i	−0.0458454	+	0.282687i
$971$	544.910	+	544.910i	0.561184	+	0.561184i	0.929644	−	0.368460i	$-0.120115\pi$
$971$	544.910	+	544.910i	0.561184	+	0.561184i	−0.368460	+	0.929644i	$0.620115\pi$
$972$	−970.701	−	50.2270i	−0.998664	−	0.0516739i
$973$	−217.797	−	217.797i	−0.223841	−	0.223841i
$974$	1204.08	−	868.029i	1.23622	−	0.891200i
$975$	370.851	+	38.3739i	0.380360	+	0.0393579i
$976$	408.521	+	163.789i	0.418566	+	0.167816i
$977$	549.430	−	317.214i	0.562365	−	0.324681i	−0.191729	−	0.981448i	$-0.561410\pi$
$977$	549.430	−	317.214i	0.562365	−	0.324681i	0.754094	+	0.656766i	$0.228076\pi$
$978$	593.934	−	341.258i	0.607294	−	0.348935i
$979$	−1348.21	+	361.251i	−1.37713	+	0.369000i
$980$	−37.8473	+	632.623i	−0.0386197	+	0.645534i
$981$	133.914	−	87.5797i	0.136508	−	0.0892760i
$982$	−291.721	+	110.745i	−0.297068	+	0.112775i
$983$	366.209	−	634.293i	0.372542	−	0.645262i	−0.617414	−	0.786639i	$-0.711819\pi$
$983$	366.209	−	634.293i	0.372542	−	0.645262i	0.989956	+	0.141377i	$0.0451528\pi$
$984$	37.5904	−	607.084i	0.0382016	−	0.616955i
$985$	60.8500	−	35.1318i	0.0617766	−	0.0356668i
$986$	−1765.96	−	1440.89i	−1.79104	−	1.46135i
$987$	−0.368381	+	0.964306i	−0.000373233	+	0.000977008i
$988$	−409.142	−	1997.38i	−0.414111	−	2.02164i
$989$	11.4244	−	11.4244i	0.0115515	−	0.0115515i
$990$	279.789	+	629.220i	0.282615	+	0.635575i
$991$	−547.747			−0.552721			−0.276361	−	0.961054i	$-0.589128\pi$
$991$	−547.747			−0.552721			−0.276361	+	0.961054i	$0.589128\pi$
$992$	−828.433	+	458.089i	−0.835114	+	0.461783i
$993$	528.807	−	730.313i	0.532535	−	0.735461i
$994$	25.4225	+	250.796i	0.0255759	+	0.252309i
$995$	−1263.64	−	338.592i	−1.26999	−	0.340294i
$996$	277.061	+	386.016i	0.278173	+	0.387567i
$997$	8.92081	+	33.2929i	0.00894765	+	0.0333931i	0.970255	−	0.242084i	$-0.0778309\pi$
$997$	8.92081	+	33.2929i	0.00894765	+	0.0333931i	−0.961308	+	0.275477i	$0.911164\pi$
$998$	−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.29.14	yes	184
3.2	odd	2		432.3.x.a.413.33		184
9.4	even	3		432.3.x.a.125.46		184
9.5	odd	6	inner	144.3.w.a.77.1	yes	184
16.5	even	4	inner	144.3.w.a.101.1	yes	184
48.5	odd	4		432.3.x.a.197.46		184
144.5	odd	12	inner	144.3.w.a.5.14	✓	184
144.85	even	12		432.3.x.a.341.33		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.14	✓	184	144.5	odd	12	inner
144.3.w.a.29.14	yes	184	1.1	even	1	trivial
144.3.w.a.77.1	yes	184	9.5	odd	6	inner
144.3.w.a.101.1	yes	184	16.5	even	4	inner
432.3.x.a.125.46		184	9.4	even	3
432.3.x.a.197.46		184	48.5	odd	4
432.3.x.a.341.33		184	144.85	even	12
432.3.x.a.413.33		184	3.2	odd	2

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)

\(f(q)\)	\(=\)	\(q+(-1.16958 - 1.62237i) q^{2} +(-1.89172 - 2.32839i) q^{3} +(-1.26417 + 3.79498i) q^{4} +(-1.06962 + 3.99189i) q^{5} +(-1.56500 + 5.79230i) q^{6} +(2.82785 + 1.63266i) q^{7} +(7.63541 - 2.38759i) q^{8} +(-1.84282 + 8.80931i) q^{9} +O(q^{10})\)	\(q+(-1.16958 - 1.62237i) q^{2} +(-1.89172 - 2.32839i) q^{3} +(-1.26417 + 3.79498i) q^{4} +(-1.06962 + 3.99189i) q^{5} +(-1.56500 + 5.79230i) 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} +(8.94164 - 2.39591i) q^{11} +(11.2276 - 4.23555i) q^{12} +(-4.06090 + 15.1555i) q^{13} +(-0.658618 - 6.49733i) q^{14} +(11.3181 - 5.06102i) q^{15} +(-12.8038 - 9.59497i) q^{16} -27.9053i q^{17} +(16.4473 - 7.31346i) q^{18} +(22.9712 + 22.9712i) q^{19} +(-13.7970 - 9.10561i) q^{20} +(-1.54801 - 9.67286i) q^{21} +(-14.3450 - 11.7044i) q^{22} +(-2.53989 - 4.39922i) q^{23} +(-20.0033 - 13.2616i) q^{24} +(6.85956 + 3.96037i) q^{25} +(29.3373 - 11.1373i) q^{26} +(23.9976 - 12.3739i) q^{27} +(-9.77077 + 8.66767i) q^{28} +(10.5697 + 39.4467i) q^{29} +(-21.4483 - 12.4429i) q^{30} +(14.7914 + 25.6195i) q^{31} +(-0.591558 + 31.9945i) q^{32} +(-22.4937 - 16.2873i) q^{33} +(-45.2728 + 32.6375i) q^{34} +(-9.54211 + 9.54211i) q^{35} +(-31.1016 - 18.1299i) q^{36} +(-22.0195 + 22.0195i) q^{37} +(10.4011 - 64.1345i) q^{38} +(42.9700 - 19.2145i) q^{39} +(1.36399 + 33.0335i) q^{40} +(12.6718 + 21.9482i) q^{41} +(-13.8824 + 13.8246i) q^{42} +(0.823192 + 3.07219i) q^{43} +(-2.21130 + 36.9622i) q^{44} +(-33.1947 - 16.7790i) q^{45} +(-4.16655 + 9.26587i) q^{46} +(-0.0912598 - 0.0526889i) q^{47} +(1.88024 + 47.9632i) q^{48} +(-19.1689 - 33.2014i) q^{49} +(-1.59762 - 15.7607i) q^{50} +(-64.9746 + 52.7890i) q^{51} +(-52.3811 - 34.5701i) q^{52} +(1.60168 + 1.60168i) q^{53} +(-48.1422 - 24.4608i) q^{54} +38.2567i q^{55} +(25.4899 + 5.71427i) q^{56} +(10.0310 - 96.9411i) q^{57} +(51.6350 - 63.2841i) q^{58} +(-5.79758 + 21.6369i) q^{59} +(4.89850 + 49.3500i) q^{60} +(-26.5709 + 7.11965i) 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} +(-0.115855 + 55.5423i) q^{66} +(14.6736 - 54.7625i) q^{67} +(105.900 + 35.2770i) q^{68} +(-5.43835 + 14.2359i) q^{69} +(26.6411 + 4.32057i) q^{70} -38.5998 q^{71} +(6.96234 + 71.6626i) q^{72} +75.9952i q^{73} +(61.4775 + 9.97022i) q^{74} +(-3.75505 - 23.4636i) q^{75} +(-116.215 + 58.1360i) q^{76} +(29.1973 + 7.82339i) q^{77} +(-81.4298 - 47.2403i) 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} +(10.2482 + 38.2470i) q^{83} +(38.6653 + 6.35341i) q^{84} +(111.395 + 29.8482i) q^{85} +(4.02145 - 4.92870i) q^{86} +(71.8525 - 99.2324i) q^{87} +(62.5526 - 39.6427i) q^{88} -150.778 q^{89} +(11.6021 + 73.4784i) q^{90} +(-36.2273 + 36.2273i) q^{91} +(19.9058 - 4.07749i) q^{92} +(31.6711 - 82.9050i) q^{93} +(0.0212548 + 0.209681i) q^{94} +(-116.269 + 67.1280i) q^{95} +(75.6149 - 59.1472i) q^{96} +(-16.8043 + 29.1059i) q^{97} +(-31.4455 + 69.9307i) q^{98} +(4.62844 + 83.1849i) 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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