LMFDB - Embedded newform 504.2.cz.b.187.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(187,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))

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

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

chi := DirichletCharacter("504.187");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			187.18
Character	$\chi$	$=$	504.187
Dual form			504.2.cz.b.283.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10154 - 0.886915i) q^{2} +(-0.590800 + 1.62818i) q^{3} +(0.426762 + 1.95394i) q^{4} -2.97526 q^{5} +(2.09484 - 1.26950i) q^{6} +(-1.42958 + 2.22627i) q^{7} +(1.26288 - 2.53083i) q^{8} +(-2.30191 - 1.92385i) q^{9} +O(q^{10})$	\(q+(-1.10154 - 0.886915i) q^{2} +(-0.590800 + 1.62818i) q^{3} +(0.426762 + 1.95394i) q^{4} -2.97526 q^{5} +(2.09484 - 1.26950i) q^{6} +(-1.42958 + 2.22627i) q^{7} +(1.26288 - 2.53083i) q^{8} +(-2.30191 - 1.92385i) q^{9} +(3.27736 + 2.63881i) q^{10} -2.83470 q^{11} +(-3.43349 - 0.459543i) q^{12} +(-1.01667 - 1.76093i) q^{13} +(3.54925 - 1.18440i) q^{14} +(1.75779 - 4.84425i) q^{15} +(-3.63575 + 1.66773i) q^{16} +(5.03081 - 2.90454i) q^{17} +(0.829342 + 4.16079i) q^{18} +(5.05923 + 2.92095i) q^{19} +(-1.26973 - 5.81348i) q^{20} +(-2.78017 - 3.64289i) q^{21} +(3.12253 + 2.51414i) q^{22} -0.423007i q^{23} +(3.37453 + 3.55141i) q^{24} +3.85219 q^{25} +(-0.441893 + 2.84143i) q^{26} +(4.49234 - 2.61130i) q^{27} +(-4.96009 - 1.84322i) q^{28} +(-2.67051 - 1.54182i) q^{29} +(-6.23270 + 3.77711i) q^{30} +(1.96039 - 3.39549i) q^{31} +(5.48405 + 1.38753i) q^{32} +(1.67474 - 4.61539i) q^{33} +(-8.11770 - 1.26245i) q^{34} +(4.25338 - 6.62375i) q^{35} +(2.77672 - 5.31882i) q^{36} +(0.794762 + 0.458856i) q^{37} +(-2.98229 - 7.70464i) q^{38} +(3.46775 - 0.614964i) q^{39} +(-3.75741 + 7.52990i) q^{40} +(7.99800 - 4.61765i) q^{41} +(-0.168480 + 6.47855i) q^{42} +(0.0690436 - 0.119587i) q^{43} +(-1.20974 - 5.53883i) q^{44} +(6.84879 + 5.72397i) q^{45} +(-0.375171 + 0.465957i) q^{46} +(0.147158 + 0.254885i) q^{47} +(-0.567363 - 6.90493i) q^{48} +(-2.91260 - 6.36528i) q^{49} +(-4.24333 - 3.41657i) q^{50} +(1.75690 + 9.90705i) q^{51} +(3.00687 - 2.73801i) q^{52} +(-10.9085 + 6.29802i) q^{53} +(-7.26448 - 1.10788i) q^{54} +8.43398 q^{55} +(3.82894 + 6.42956i) q^{56} +(-7.74481 + 6.51162i) q^{57} +(1.57420 + 4.06688i) q^{58} +(-12.7768 - 7.37669i) q^{59} +(10.2155 + 1.36726i) q^{60} +(-7.35163 - 12.7334i) q^{61} +(-5.17095 + 2.00156i) q^{62} +(7.57379 - 2.37438i) q^{63} +(-4.81025 - 6.39230i) q^{64} +(3.02487 + 5.23923i) q^{65} +(-5.93825 + 3.59866i) q^{66} +(0.268340 - 0.464778i) q^{67} +(7.82225 + 8.59035i) q^{68} +(0.688729 + 0.249913i) q^{69} +(-10.5600 + 3.52391i) q^{70} -3.87013i q^{71} +(-7.77600 + 3.39615i) q^{72} +(-8.44326 + 4.87472i) q^{73} +(-0.468492 - 1.21033i) q^{74} +(-2.27587 + 6.27204i) q^{75} +(-3.54826 + 11.1320i) q^{76} +(4.05243 - 6.31082i) q^{77} +(-4.36527 - 2.39820i) q^{78} +(11.7462 - 6.78168i) q^{79} +(10.8173 - 4.96195i) q^{80} +(1.59758 + 8.85707i) q^{81} +(-12.9055 - 2.00705i) q^{82} +(5.70673 + 3.29478i) q^{83} +(5.93151 - 6.98693i) q^{84} +(-14.9680 + 8.64177i) q^{85} +(-0.182118 + 0.0704935i) q^{86} +(4.08808 - 3.43715i) q^{87} +(-3.57990 + 7.17416i) q^{88} +(-8.67214 - 5.00686i) q^{89} +(-2.46751 - 12.3795i) q^{90} +(5.37373 + 0.253997i) q^{91} +(0.826529 - 0.180523i) q^{92} +(4.37026 + 5.19791i) q^{93} +(0.0639618 - 0.411282i) q^{94} +(-15.0525 - 8.69059i) q^{95} +(-5.49912 + 8.10923i) q^{96} +(-2.23695 - 1.29151i) q^{97} +(-2.43713 + 9.59481i) q^{98} +(6.52523 + 5.45355i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.10154	−	0.886915i	−0.778903	−	0.627144i
$2$	−1.10154	−	0.886915i	−0.778903	−	0.627144i
$3$	−0.590800	+	1.62818i	−0.341099	+	0.940028i
$3$	−0.590800	+	1.62818i	−0.341099	+	0.940028i
$4$	0.426762	+	1.95394i	0.213381	+	0.976969i
$5$	−2.97526			−1.33058			−0.665289	−	0.746586i	$-0.731692\pi$
$5$	−2.97526			−1.33058			−0.665289	+	0.746586i	$0.731692\pi$
$6$	2.09484	−	1.26950i	0.855215	−	0.518273i
$7$	−1.42958	+	2.22627i	−0.540331	+	0.841453i
$7$	−1.42958	+	2.22627i	−0.540331	+	0.841453i
$8$	1.26288	−	2.53083i	0.446497	−	0.894785i
$9$	−2.30191	−	1.92385i	−0.767303	−	0.641284i
$10$	3.27736	+	2.63881i	1.03639	+	0.834464i
$11$	−2.83470			−0.854695			−0.427347	−	0.904088i	$-0.640552\pi$
$11$	−2.83470			−0.854695			−0.427347	+	0.904088i	$0.640552\pi$
$12$	−3.43349	−	0.459543i	−0.991162	−	0.132659i
$13$	−1.01667	−	1.76093i	−0.281974	−	0.488394i	0.689897	−	0.723908i	$-0.257656\pi$
$13$	−1.01667	−	1.76093i	−0.281974	−	0.488394i	−0.971871	+	0.235514i	$0.924323\pi$
$14$	3.54925	−	1.18440i	0.948577	−	0.316545i
$15$	1.75779	−	4.84425i	0.453858	−	1.25078i
$16$	−3.63575	+	1.66773i	−0.908937	+	0.416933i
$17$	5.03081	−	2.90454i	1.22015	−	0.704455i	0.255201	−	0.966888i	$-0.417858\pi$
$17$	5.03081	−	2.90454i	1.22015	−	0.704455i	0.964950	+	0.262433i	$0.0845250\pi$
$18$	0.829342	+	4.16079i	0.195478	+	0.980708i
$19$	5.05923	+	2.92095i	1.16067	+	0.670112i	0.951464	−	0.307761i	$-0.0995796\pi$
$19$	5.05923	+	2.92095i	1.16067	+	0.670112i	0.209203	+	0.977872i	$0.432913\pi$
$20$	−1.26973	−	5.81348i	−0.283920	−	1.29993i
$21$	−2.78017	−	3.64289i	−0.606683	−	0.794944i
$22$	3.12253	+	2.51414i	0.665725	+	0.536017i
$23$		−	0.423007i		−	0.0882030i	−0.999027	−	0.0441015i	$-0.985957\pi$
$23$		−	0.423007i		−	0.0882030i	0.999027	−	0.0441015i	$-0.0140425\pi$
$24$	3.37453	+	3.55141i	0.688823	+	0.724929i
$25$	3.85219			0.770438
$26$	−0.441893	+	2.84143i	−0.0866624	+	0.557250i
$27$	4.49234	−	2.61130i	0.864551	−	0.502545i
$28$	−4.96009	−	1.84322i	−0.937370	−	0.348336i
$29$	−2.67051	−	1.54182i	−0.495900	−	0.286308i	0.231119	−	0.972926i	$-0.425761\pi$
$29$	−2.67051	−	1.54182i	−0.495900	−	0.286308i	−0.727019	+	0.686617i	$0.759095\pi$
$30$	−6.23270	+	3.77711i	−1.13793	+	0.689602i
$31$	1.96039	−	3.39549i	0.352096	−	0.609848i	−0.634520	−	0.772906i	$-0.718802\pi$
$31$	1.96039	−	3.39549i	0.352096	−	0.609848i	0.986617	+	0.163058i	$0.0521357\pi$
$32$	5.48405	+	1.38753i	0.969451	+	0.245283i
$33$	1.67474	−	4.61539i	0.291535	−	0.803437i
$34$	−8.11770	−	1.26245i	−1.39217	−	0.216508i
$35$	4.25338	−	6.62375i	0.718952	−	1.11962i
$36$	2.77672	−	5.31882i	0.462787	−	0.886470i
$37$	0.794762	+	0.458856i	0.130658	+	0.0754355i	0.563904	−	0.825840i	$-0.309299\pi$
$37$	0.794762	+	0.458856i	0.130658	+	0.0754355i	−0.433246	+	0.901276i	$0.642632\pi$
$38$	−2.98229	−	7.70464i	−0.483791	−	1.24986i
$39$	3.46775	−	0.614964i	0.555284	−	0.0984731i
$40$	−3.75741	+	7.52990i	−0.594099	+	1.19058i
$41$	7.99800	−	4.61765i	1.24908	−	0.721155i	0.278152	−	0.960537i	$-0.410278\pi$
$41$	7.99800	−	4.61765i	1.24908	−	0.721155i	0.970926	+	0.239382i	$0.0769447\pi$
$42$	−0.168480	+	6.47855i	−0.0259971	+	0.999662i
$43$	0.0690436	−	0.119587i	0.0105290	−	0.0182368i	−0.860713	−	0.509091i	$-0.829982\pi$
$43$	0.0690436	−	0.119587i	0.0105290	−	0.0182368i	0.871242	+	0.490854i	$0.163315\pi$
$44$	−1.20974	−	5.53883i	−0.182376	−	0.835010i
$45$	6.84879	+	5.72397i	1.02096	+	0.853279i
$46$	−0.375171	+	0.465957i	−0.0553160	+	0.0687016i
$47$	0.147158	+	0.254885i	0.0214652	+	0.0371788i	0.876558	−	0.481295i	$-0.159834\pi$
$47$	0.147158	+	0.254885i	0.0214652	+	0.0371788i	−0.855093	+	0.518474i	$0.826500\pi$
$48$	−0.567363	−	6.90493i	−0.0818917	−	0.996641i
$49$	−2.91260	−	6.36528i	−0.416086	−	0.909325i
$50$	−4.24333	−	3.41657i	−0.600097	−	0.483176i
$51$	1.75690	+	9.90705i	0.246015	+	1.38726i
$52$	3.00687	−	2.73801i	0.416978	−	0.379694i
$53$	−10.9085	+	6.29802i	−1.49840	+	0.865100i	−0.999998	−	0.00184832i	$-0.999412\pi$
$53$	−10.9085	+	6.29802i	−1.49840	+	0.865100i	−0.498398	+	0.866948i	$0.666078\pi$
$54$	−7.26448	−	1.10788i	−0.988570	−	0.150764i
$55$	8.43398			1.13724
$56$	3.82894	+	6.42956i	0.511664	+	0.859186i
$57$	−7.74481	+	6.51162i	−1.02583	+	0.862485i
$58$	1.57420	+	4.06688i	0.206702	+	0.534007i
$59$	−12.7768	−	7.37669i	−1.66340	−	0.960363i	−0.971075	−	0.238776i	$-0.923254\pi$
$59$	−12.7768	−	7.37669i	−1.66340	−	0.960363i	−0.692323	−	0.721587i	$-0.743413\pi$
$60$	10.2155	+	1.36726i	1.31882	+	0.176513i
$61$	−7.35163	−	12.7334i	−0.941280	−	1.63034i	−0.763034	−	0.646358i	$-0.776291\pi$
$61$	−7.35163	−	12.7334i	−0.941280	−	1.63034i	−0.178246	−	0.983986i	$-0.557042\pi$
$62$	−5.17095	+	2.00156i	−0.656712	+	0.254198i
$63$	7.57379	−	2.37438i	0.954208	−	0.299144i
$64$	−4.81025	−	6.39230i	−0.601281	−	0.799038i
$65$	3.02487	+	5.23923i	0.375189	+	0.649846i
$66$	−5.93825	+	3.59866i	−0.730948	+	0.442965i
$67$	0.268340	−	0.464778i	0.0327829	−	0.0567817i	−0.849168	−	0.528122i	$-0.822896\pi$
$67$	0.268340	−	0.464778i	0.0327829	−	0.0567817i	0.881951	+	0.471340i	$0.156230\pi$
$68$	7.82225	+	8.59035i	0.948588	+	1.04173i
$69$	0.688729	+	0.249913i	0.0829133	+	0.0300859i
$70$	−10.5600	+	3.52391i	−1.26216	+	0.421188i
$71$		−	3.87013i		−	0.459300i	−0.973273	−	0.229650i	$-0.926242\pi$
$71$		−	3.87013i		−	0.459300i	0.973273	−	0.229650i	$-0.0737581\pi$
$72$	−7.77600	+	3.39615i	−0.916410	+	0.400240i
$73$	−8.44326	+	4.87472i	−0.988209	+	0.570543i	−0.904738	−	0.425968i	$-0.859934\pi$
$73$	−8.44326	+	4.87472i	−0.988209	+	0.570543i	−0.0834705	+	0.996510i	$0.526600\pi$
$74$	−0.468492	−	1.21033i	−0.0544611	−	0.140698i
$75$	−2.27587	+	6.27204i	−0.262795	+	0.724233i
$76$	−3.54826	+	11.1320i	−0.407014	+	1.27693i
$77$	4.05243	−	6.31082i	0.461818	−	0.719185i
$78$	−4.36527	−	2.39820i	−0.494270	−	0.271542i
$79$	11.7462	−	6.78168i	1.32155	−	0.762999i	0.337577	−	0.941298i	$-0.390393\pi$
$79$	11.7462	−	6.78168i	1.32155	−	0.762999i	0.983976	+	0.178299i	$0.0570594\pi$
$80$	10.8173	−	4.96195i	1.20941	−	0.554763i
$81$	1.59758	+	8.85707i	0.177509	+	0.984119i
$82$	−12.9055	−	2.00705i	−1.42518	−	0.221641i
$83$	5.70673	+	3.29478i	0.626395	+	0.361649i	0.779355	−	0.626583i	$-0.215547\pi$
$83$	5.70673	+	3.29478i	0.626395	+	0.361649i	−0.152960	+	0.988232i	$0.548880\pi$
$84$	5.93151	−	6.98693i	0.647181	−	0.762336i
$85$	−14.9680	+	8.64177i	−1.62351	+	0.937332i
$86$	−0.182118	+	0.0704935i	−0.0196382	+	0.00760151i
$87$	4.08808	−	3.43715i	0.438289	−	0.368501i
$88$	−3.57990	+	7.17416i	−0.381619	+	0.764768i
$89$	−8.67214	−	5.00686i	−0.919245	−	0.530727i	−0.0358511	−	0.999357i	$-0.511414\pi$
$89$	−8.67214	−	5.00686i	−0.919245	−	0.530727i	−0.883394	+	0.468631i	$0.844748\pi$
$90$	−2.46751	−	12.3795i	−0.260099	−	1.30491i
$91$	5.37373	+	0.253997i	0.563319	+	0.0266261i
$92$	0.826529	−	0.180523i	0.0861716	−	0.0188209i
$93$	4.37026	+	5.19791i	0.453175	+	0.538999i
$94$	0.0639618	−	0.411282i	0.00659715	−	0.0424205i
$95$	−15.0525	−	8.69059i	−1.54436	−	0.891636i
$96$	−5.49912	+	8.10923i	−0.561252	+	0.827645i
$97$	−2.23695	−	1.29151i	−0.227128	−	0.131133i	0.382118	−	0.924113i	$-0.375195\pi$
$97$	−2.23695	−	1.29151i	−0.227128	−	0.131133i	−0.609247	+	0.792981i	$0.708528\pi$
$98$	−2.43713	+	9.59481i	−0.246187	+	0.969222i
$99$	6.52523	+	5.45355i	0.655810	+	0.548102i
$100$	1.64397	+	7.52694i	0.164397	+	0.752694i
$101$	10.1970			1.01464			0.507321	−	0.861757i	$-0.330636\pi$
$101$	10.1970			1.01464			0.507321	+	0.861757i	$0.330636\pi$
$102$	6.85143	−	12.4712i	0.678392	−	1.23483i
$103$	6.39260			0.629882			0.314941	−	0.949111i	$-0.398015\pi$
$103$	6.39260			0.629882			0.314941	+	0.949111i	$0.398015\pi$
$104$	−5.74056	+	0.349182i	−0.562908	+	0.0342401i
$105$	8.27174	+	10.8386i	0.807239	+	1.05774i
$106$	17.6019	+	2.73741i	1.70965	+	0.265881i
$107$	1.97941	−	3.42843i	0.191357	−	0.331439i	−0.754343	−	0.656480i	$-0.772045\pi$
$107$	1.97941	−	3.42843i	0.191357	−	0.331439i	0.945700	+	0.325041i	$0.105378\pi$
$108$	7.01948	+	7.66335i	0.675450	+	0.737406i
$109$	0.196347	−	0.113361i	0.0188066	−	0.0108580i	−0.490567	−	0.871403i	$-0.663210\pi$
$109$	0.196347	−	0.113361i	0.0188066	−	0.0108580i	0.509374	+	0.860545i	$0.329877\pi$
$110$	−9.29033	−	7.48023i	−0.885799	−	0.713212i
$111$	−1.21664	+	1.02292i	−0.115479	+	0.0970912i
$112$	1.48476	−	10.4783i	0.140297	−	0.990110i
$113$	−0.443567	−	0.768281i	−0.0417273	−	0.0722738i	0.844407	−	0.535701i	$-0.179953\pi$
$113$	−0.443567	−	0.768281i	−0.0417273	−	0.0722738i	−0.886135	+	0.463428i	$0.846619\pi$
$114$	14.3064	−	0.303789i	1.33992	−	0.0284525i
$115$			1.25856i			0.117361i
$116$	1.87294	−	5.87599i	0.173899	−	0.545572i
$117$	−1.04748	+	6.00943i	−0.0968393	+	0.555572i
$118$	7.53161	+	19.4576i	0.693340	+	1.79122i
$119$	−0.725645	+	15.3522i	−0.0665198	+	1.40734i
$120$	−10.0401	−	10.5664i	−0.916533	−	0.964575i
$121$	−2.96447			−0.269497
$122$	−3.19536	+	20.5466i	−0.289294	+	1.86020i
$123$	2.79312	+	15.7503i	0.251847	+	1.42015i
$124$	7.47120	+	2.38141i	0.670934	+	0.213857i
$125$	3.41503			0.305450
$126$	−10.4487	−	4.10184i	−0.930842	−	0.365421i
$127$			4.30911i			0.382372i	0.981554	+	0.191186i	$0.0612333\pi$
$127$			4.30911i			0.382372i	−0.981554	+	0.191186i	$0.938767\pi$
$128$	−0.370769	+	11.3076i	−0.0327717	+	0.999463i
$129$	0.153918	+	0.183067i	0.0135517	+	0.0161182i
$130$	1.31475	−	8.45400i	0.115311	−	0.741465i
$131$		−	3.33088i		−	0.291020i	−0.989357	−	0.145510i	$-0.953518\pi$
$131$		−	3.33088i		−	0.291020i	0.989357	−	0.145510i	$-0.0464824\pi$
$132$	9.73291	+	1.30267i	0.847141	+	0.113383i
$133$	−13.7354	+	7.08751i	−1.19101	+	0.614565i
$134$	−0.707805	+	0.273975i	−0.0611450	+	0.0236679i
$135$	−13.3659	+	7.76931i	−1.15035	+	0.668676i
$136$	−0.997581	−	16.4003i	−0.0855418	−	1.40631i
$137$	−16.9706			−1.44989			−0.724947	−	0.688804i	$-0.758136\pi$
$137$	−16.9706			−1.44989			−0.724947	+	0.688804i	$0.758136\pi$
$138$	−0.537009	−	0.886132i	−0.0457132	−	0.0754326i
$139$	8.59290	−	4.96111i	0.728841	−	0.420796i	−0.0891573	−	0.996018i	$-0.528417\pi$
$139$	8.59290	−	4.96111i	0.728841	−	0.420796i	0.817998	+	0.575221i	$0.195084\pi$
$140$	14.7576	+	5.48407i	1.24724	+	0.463489i
$141$	−0.501939	+	0.0890129i	−0.0422709	+	0.00749624i
$142$	−3.43248	+	4.26308i	−0.288047	+	0.357750i
$143$	2.88196	+	4.99171i	0.241002	+	0.417427i
$144$	11.5776	+	3.15567i	0.964803	+	0.262972i
$145$	7.94546	+	4.58731i	0.659834	+	0.380956i
$146$	13.6240	+	2.11878i	1.12753	+	0.175352i
$147$	12.0846	−	0.981615i	0.996717	−	0.0809622i
$148$	−0.557402	+	1.74874i	−0.0458181	+	0.143745i
$149$			8.35951i			0.684838i	0.939547	+	0.342419i	$0.111246\pi$
$149$			8.35951i			0.684838i	−0.939547	+	0.342419i	$0.888754\pi$
$150$	8.06973	−	4.89037i	0.658891	−	0.399297i
$151$		−	4.84074i		−	0.393934i	−0.980410	−	0.196967i	$-0.936891\pi$
$151$		−	4.84074i		−	0.393934i	0.980410	−	0.196967i	$-0.0631092\pi$
$152$	13.7817	−	9.11526i	1.11784	−	0.739345i
$153$	−17.1684	−	2.99255i	−1.38798	−	0.241933i
$154$	−10.0611	+	3.35743i	−0.810744	+	0.270550i
$155$	−5.83267	+	10.1025i	−0.468491	+	0.811451i
$156$	2.68151	+	6.51333i	0.214692	+	0.521483i
$157$	10.9569	−	18.9778i	0.874453	−	1.51460i	0.0171084	−	0.999854i	$-0.494554\pi$
$157$	10.9569	−	18.9778i	0.874453	−	1.51460i	0.857344	−	0.514743i	$-0.172113\pi$
$158$	−18.9537	−	2.94764i	−1.50787	−	0.234501i
$159$	−3.80954	−	21.4818i	−0.302117	−	1.70362i
$160$	−16.3165	−	4.12827i	−1.28993	−	0.326369i
$161$	0.941730	+	0.604722i	0.0742187	+	0.0476588i
$162$	6.09568	−	11.1733i	0.478922	−	0.877858i
$163$	−7.81710	+	13.5396i	−0.612282	+	1.06050i	0.378572	+	0.925572i	$0.376415\pi$
$163$	−7.81710	+	13.5396i	−0.612282	+	1.06050i	−0.990855	+	0.134933i	$0.956918\pi$
$164$	12.4358	+	13.6570i	0.971076	+	1.06643i
$165$	−4.98280	+	13.7320i	−0.387910	+	1.06904i
$166$	−3.36397	−	8.69071i	−0.261095	−	0.674530i
$167$	5.68050	+	9.83891i	0.439570	+	0.761358i	0.997656	−	0.0684251i	$-0.0217974\pi$
$167$	5.68050	+	9.83891i	0.439570	+	0.761358i	−0.558086	+	0.829783i	$0.688464\pi$
$168$	−12.7306	+	2.43560i	−0.982186	+	0.187911i
$169$	4.43275	−	7.67776i	0.340981	−	0.590597i
$170$	24.1523	+	3.75612i	1.85240	+	0.288081i
$171$	−6.02642	−	16.4570i	−0.460852	−	1.25850i
$172$	0.263131	+	0.0838717i	0.0200635	+	0.00639516i
$173$	8.46501	+	14.6618i	0.643583	+	1.11472i	0.984627	+	0.174670i	$0.0558860\pi$
$173$	8.46501	+	14.6618i	0.643583	+	1.11472i	−0.341044	+	0.940047i	$0.610781\pi$
$174$	−7.55163	+	0.160355i	−0.572487	+	0.0121565i
$175$	−5.50702	+	8.57603i	−0.416291	+	0.648287i
$176$	10.3063	−	4.72753i	0.776864	−	0.356351i
$177$	19.5591	−	16.4447i	1.47015	−	1.23606i
$178$	5.11201	+	13.2067i	0.383161	+	0.989884i
$179$	−9.45263	−	16.3724i	−0.706523	−	1.22373i	−0.966139	−	0.258021i	$-0.916930\pi$
$179$	−9.45263	−	16.3724i	−0.706523	−	1.22373i	0.259617	−	0.965712i	$-0.416404\pi$
$180$	−8.26147	+	15.8249i	−0.615774	+	1.17952i
$181$	19.3392			1.43747			0.718734	−	0.695285i	$-0.244722\pi$
$181$	19.3392			1.43747			0.718734	+	0.695285i	$0.244722\pi$
$182$	−5.69408	−	5.04583i	−0.422073	−	0.374022i
$183$	25.0755	−	4.44685i	1.85364	−	0.328721i
$184$	−1.07056	−	0.534209i	−0.0789228	−	0.0393824i
$185$	−2.36463	−	1.36522i	−0.173851	−	0.100373i
$186$	−0.203888	−	9.60174i	−0.0149498	−	0.704034i
$187$	−14.2609	+	8.23351i	−1.04286	+	0.602094i
$188$	−0.435228	+	0.396313i	−0.0317423	+	0.0289041i
$189$	−0.608685	+	13.7342i	−0.0442753	+	0.999019i
$190$	8.87310	+	22.9233i	0.643722	+	1.66303i
$191$	−10.8685	+	6.27493i	−0.786417	+	0.454038i	−0.838700	−	0.544594i	$-0.816684\pi$
$191$	−10.8685	+	6.27493i	−0.786417	+	0.454038i	0.0522824	+	0.998632i	$0.483350\pi$
$192$	13.2497	−	4.05536i	0.956213	−	0.292670i
$193$	−2.33021	+	4.03605i	−0.167733	+	0.290521i	−0.937622	−	0.347656i	$-0.886978\pi$
$193$	−2.33021	+	4.03605i	−0.167733	+	0.290521i	0.769890	+	0.638177i	$0.220311\pi$
$194$	1.31863	+	3.40663i	0.0946720	+	0.244582i
$195$	−10.3175	+	1.82968i	−0.738849	+	0.131026i
$196$	11.1944	−	8.40750i	0.799598	−	0.600536i
$197$		−	22.6098i		−	1.61088i	−0.592676	−	0.805441i	$-0.701928\pi$
$197$		−	22.6098i		−	1.61088i	0.592676	−	0.805441i	$-0.298072\pi$
$198$	−2.35094	−	11.7946i	−0.167074	−	0.838206i
$199$	−10.8949	−	18.8704i	−0.772316	−	1.33769i	−0.936291	−	0.351226i	$-0.885765\pi$
$199$	−10.8949	−	18.8704i	−0.772316	−	1.33769i	0.163975	−	0.986465i	$-0.447568\pi$
$200$	4.86487	−	9.74926i	0.343998	−	0.689377i
$201$	0.598205	+	0.711496i	0.0421942	+	0.0501850i
$202$	−11.2324	−	9.04390i	−0.790308	−	0.636327i
$203$	7.25021	−	3.74113i	0.508865	−	0.262576i
$204$	−18.6080	+	7.66082i	−1.30282	+	0.536365i
$205$	−23.7962	+	13.7387i	−1.66200	+	0.959554i
$206$	−7.04168	−	5.66970i	−0.490617	−	0.395027i
$207$	−0.813803	+	0.973724i	−0.0565632	+	0.0676785i
$208$	6.63312	+	4.70675i	0.459924	+	0.326355i
$209$	−14.3414	−	8.28002i	−0.992016	−	0.572741i
$210$	0.501273	−	19.2754i	0.0345911	−	1.33013i
$211$	−11.6513	−	20.1807i	−0.802110	−	1.38930i	−0.918225	−	0.396060i	$-0.870377\pi$
$211$	−11.6513	−	20.1807i	−0.802110	−	1.38930i	0.116114	−	0.993236i	$-0.462956\pi$
$212$	−16.9613	−	18.6268i	−1.16491	−	1.27929i
$213$	6.30125	+	2.28647i	0.431754	+	0.156666i
$214$	−5.22112	+	2.02098i	−0.356908	+	0.138151i
$215$	−0.205423	+	0.355803i	−0.0140097	+	0.0242655i
$216$	−0.935471	−	14.6671i	−0.0636507	−	0.997972i
$217$	4.75677	+	9.21849i	0.322910	+	0.625792i
$218$	−0.316825	−	0.0492719i	−0.0214581	−	0.00333712i
$219$	−2.94862	−	16.6271i	−0.199249	−	1.12355i
$220$	3.59931	+	16.4795i	0.242665	+	1.11105i
$221$	−10.2294	−	5.90593i	−0.688102	−	0.397276i
$222$	2.24742	−	0.0477227i	0.150837	−	0.00320294i
$223$	0.301158	−	0.521620i	0.0201670	−	0.0349303i	−0.855766	−	0.517363i	$-0.826914\pi$
$223$	0.301158	−	0.521620i	0.0201670	−	0.0349303i	0.875933	+	0.482433i	$0.160247\pi$
$224$	−10.9289	+	10.2254i	−0.730219	+	0.683213i
$225$	−8.86740	−	7.41105i	−0.591160	−	0.494070i
$226$	−0.192795	+	1.23970i	−0.0128245	+	0.0824633i
$227$			11.6134i			0.770807i	0.922748	+	0.385404i	$0.125938\pi$
$227$			11.6134i			0.770807i	−0.922748	+	0.385404i	$0.874062\pi$
$228$	−16.0285	−	12.3540i	−1.06151	−	0.818162i
$229$	−16.5693			−1.09493			−0.547466	−	0.836828i	$-0.684407\pi$
$229$	−16.5693			−1.09493			−0.547466	+	0.836828i	$0.684407\pi$
$230$	1.11623	−	1.38635i	0.0736022	−	0.0914129i
$231$	7.88095	+	10.3265i	0.518529	+	0.679434i
$232$	−7.27462	+	4.81147i	−0.477602	+	0.315889i
$233$	0.746923	−	1.29371i	0.0489325	−	0.0847536i	−0.840522	−	0.541778i	$-0.817751\pi$
$233$	0.746923	−	1.29371i	0.0489325	−	0.0847536i	0.889454	+	0.457024i	$0.151085\pi$
$234$	6.48369	−	5.69058i	0.423852	−	0.372005i
$235$	−0.437834	−	0.758351i	−0.0285611	−	0.0494693i
$236$	8.96094	−	28.1132i	0.583308	−	1.83001i
$237$	4.10210	+	23.1315i	0.266460	+	1.50255i
$238$	14.4155	−	16.2675i	0.934416	−	1.05446i
$239$	−17.5999	+	10.1613i	−1.13844	+	0.657279i	−0.946044	−	0.324038i	$-0.894959\pi$
$239$	−17.5999	+	10.1613i	−1.13844	+	0.657279i	−0.192397	+	0.981317i	$0.561626\pi$
$240$	1.68805	+	20.5440i	0.108963	+	1.32611i
$241$		−	25.9933i		−	1.67438i	−0.546914	−	0.837189i	$-0.684197\pi$
$241$		−	25.9933i		−	1.67438i	0.546914	−	0.837189i	$-0.315803\pi$
$242$	3.26547	+	2.62923i	0.209912	+	0.169013i
$243$	−15.3647	−	2.63161i	−0.985647	−	0.168818i
$244$	21.7429	−	19.7988i	1.39194	−	1.26749i
$245$	8.66575	+	18.9384i	0.553634	+	1.20993i
$246$	10.8924	−	19.8267i	0.694475	−	1.26411i
$247$		−	11.8786i		−	0.755817i
$248$	−6.11769	−	9.24953i	−0.388474	−	0.587346i
$249$	−8.73602	+	7.34500i	−0.553623	+	0.465471i
$250$	−3.76178	−	3.02885i	−0.237916	−	0.191561i
$251$			15.5476i			0.981356i	0.871341	+	0.490678i	$0.163251\pi$
$251$			15.5476i			0.981356i	−0.871341	+	0.490678i	$0.836749\pi$
$252$	7.87160	+	13.7854i	0.495864	+	0.868400i
$253$			1.19910i			0.0753867i
$254$	3.82182	−	4.74664i	0.239802	−	0.297831i
$255$	−5.22723	−	29.4761i	−0.327342	−	1.84586i
$256$	10.4373	−	12.1269i	0.652333	−	0.757932i
$257$		−	4.85408i		−	0.302789i	−0.988473	−	0.151395i	$-0.951624\pi$
$257$		−	4.85408i		−	0.302789i	0.988473	−	0.151395i	$-0.0483764\pi$
$258$	−0.00718079	−	0.338167i	−0.000447056	−	0.0210533i
$259$	−2.15772	+	1.11339i	−0.134074	+	0.0691825i
$260$	−8.94622	+	8.14631i	−0.554821	+	0.505213i
$261$	3.18104	+	8.68678i	0.196901	+	0.537698i
$262$	−2.95421	+	3.66908i	−0.182512	+	0.226677i
$263$		−	16.2377i		−	1.00126i	−0.865661	−	0.500631i	$-0.833102\pi$
$263$		−	16.2377i		−	1.00126i	0.865661	−	0.500631i	$-0.166898\pi$
$264$	−9.56579	−	10.0672i	−0.588734	−	0.619593i
$265$	32.4556	−	18.7383i	1.99373	−	1.15108i
$266$	21.4161	+	4.37501i	1.31310	+	0.268249i
$267$	13.2756	−	11.1617i	0.812451	−	0.683086i
$268$	1.02267	+	0.325970i	0.0624692	+	0.0199118i
$269$	−10.7654	−	18.6461i	−0.656375	−	1.13688i	−0.981547	−	0.191220i	$-0.938755\pi$
$269$	−10.7654	−	18.6461i	−0.656375	−	1.13688i	0.325172	−	0.945655i	$-0.394578\pi$
$270$	21.6137	+	3.29624i	1.31537	+	0.200603i
$271$	−8.06943	+	13.9767i	−0.490183	+	0.849022i	−0.999936	−	0.0112986i	$-0.996403\pi$
$271$	−8.06943	+	13.9767i	−0.490183	+	0.849022i	0.509753	+	0.860321i	$0.329737\pi$
$272$	−13.4468	+	18.9502i	−0.815330	+	1.14903i
$273$	−3.58835	+	8.59931i	−0.217177	+	0.520454i
$274$	18.6937	+	15.0515i	1.12933	+	0.909293i
$275$	−10.9198			−0.658489
$276$	−0.194390	+	1.45239i	−0.0117009	+	0.0874235i
$277$		−	17.9223i		−	1.07684i	−0.842675	−	0.538422i	$-0.819020\pi$
$277$		−	17.9223i		−	1.07684i	0.842675	−	0.538422i	$-0.180980\pi$
$278$	−13.8655	−	2.15633i	−0.831596	−	0.129328i
$279$	−11.0451	+	4.04462i	−0.661251	+	0.242145i
$280$	−11.3921	−	19.1296i	−0.680808	−	1.14321i
$281$	−6.17518	+	10.6957i	−0.368380	+	0.638053i	−0.989312	−	0.145811i	$-0.953421\pi$
$281$	−6.17518	+	10.6957i	−0.368380	+	0.638053i	0.620932	+	0.783864i	$0.286754\pi$
$282$	0.631851	+	0.347126i	0.0376262	+	0.0206711i
$283$	5.77981	+	3.33698i	0.343574	+	0.198363i	0.661851	−	0.749635i	$-0.269771\pi$
$283$	5.77981	+	3.33698i	0.343574	+	0.198363i	−0.318277	+	0.947998i	$0.603104\pi$
$284$	7.56199	−	1.65162i	0.448722	−	0.0980059i
$285$	23.0429	−	19.3738i	1.36494	−	1.14760i
$286$	1.25264	−	8.05460i	0.0740699	−	0.476279i
$287$	−1.15363	+	24.4070i	−0.0680968	+	1.44070i
$288$	−9.95437	−	13.7445i	−0.586567	−	0.809901i
$289$	8.37272	−	14.5020i	0.492513	−	0.853057i
$290$	−4.68365	−	12.1000i	−0.275033	−	0.710539i
$291$	3.42439	−	2.87913i	0.200741	−	0.168778i
$292$	−13.1282	−	14.4173i	−0.768268	−	0.843707i
$293$	−2.96589	−	5.13708i	−0.173269	−	0.300111i	0.766292	−	0.642493i	$-0.222100\pi$
$293$	−2.96589	−	5.13708i	−0.173269	−	0.300111i	−0.939561	+	0.342382i	$0.888766\pi$
$294$	−14.1822	−	9.63669i	−0.827121	−	0.562023i
$295$	38.0144	+	21.9476i	2.21328	+	1.27784i
$296$	2.16498	−	1.43193i	0.125837	−	0.0832292i
$297$	−12.7344	+	7.40226i	−0.738927	+	0.429523i
$298$	7.41418	−	9.20830i	0.429492	−	0.533423i
$299$	−0.744885	+	0.430059i	−0.0430778	+	0.0248710i
$300$	−13.2264	−	1.77025i	−0.763629	−	0.102205i
$301$	0.167530	+	0.324669i	0.00965628	+	0.0187136i
$302$	−4.29333	+	5.33225i	−0.247053	+	0.306837i
$303$	−6.02441	+	16.6025i	−0.346093	+	0.953792i
$304$	−23.2655	−	2.18238i	−1.33437	−	0.125168i
$305$	21.8730	+	37.8852i	1.25245	+	2.16930i
$306$	16.2575	+	18.5233i	0.929377	+	1.05891i
$307$		−	3.46403i		−	0.197703i	−0.995102	−	0.0988514i	$-0.968483\pi$
$307$		−	3.46403i		−	0.197703i	0.995102	−	0.0988514i	$-0.0315169\pi$
$308$	14.0604	+	5.22498i	0.801165	+	0.297721i
$309$	−3.77675	+	10.4083i	−0.214852	+	0.592106i
$310$	15.3849	−	5.95516i	0.873806	−	0.338230i
$311$	−16.9848	+	29.4185i	−0.963117	+	1.66817i	−0.248526	+	0.968625i	$0.579946\pi$
$311$	−16.9848	+	29.4185i	−0.963117	+	1.66817i	−0.714591	+	0.699542i	$0.753387\pi$
$312$	2.82299	−	9.55293i	0.159821	−	0.540828i
$313$	1.43415	−	0.828006i	0.0810629	−	0.0468017i	−0.458921	−	0.888477i	$-0.651764\pi$
$313$	1.43415	−	0.828006i	0.0810629	−	0.0468017i	0.539984	+	0.841676i	$0.318430\pi$
$314$	−28.9011	+	11.1870i	−1.63098	+	0.631317i
$315$	−22.5340	+	7.06441i	−1.26965	+	0.398035i
$316$	18.2638	+	20.0572i	1.02742	+	1.12831i
$317$	18.2213	−	10.5201i	1.02341	−	0.590866i	0.108320	−	0.994116i	$-0.465453\pi$
$317$	18.2213	−	10.5201i	1.02341	−	0.590866i	0.915090	+	0.403250i	$0.132120\pi$
$318$	−14.8562	+	27.0417i	−0.833094	+	1.51642i
$319$	7.57009	+	4.37059i	0.423844	+	0.244706i
$320$	14.3118	+	19.0188i	0.800051	+	1.06318i
$321$	4.41266	+	5.24834i	0.246291	+	0.292934i
$322$	−0.501011	−	1.50136i	−0.0279203	−	0.0836674i
$323$	33.9361			1.88825
$324$	−16.6244	+	6.90144i	−0.923577	+	0.383413i
$325$	−3.91642	−	6.78343i	−0.217244	−	0.376277i
$326$	20.6193	−	7.98126i	1.14200	−	0.442041i
$327$	0.0685697	+	0.386661i	0.00379191	+	0.0213824i
$328$	−1.58596	−	26.0732i	−0.0875698	−	1.43965i
$329$	−0.777819	−	0.0367647i	−0.0428825	−	0.00202690i
$330$	17.6679	−	10.7070i	0.972584	−	0.589399i
$331$	6.65014	+	11.5184i	0.365525	+	0.633107i	0.988860	−	0.148847i	$-0.0475562\pi$
$331$	6.65014	+	11.5184i	0.365525	+	0.633107i	−0.623336	+	0.781955i	$0.714223\pi$
$332$	−4.00238	+	12.5567i	−0.219659	+	0.689138i
$333$	−0.946699	−	2.58525i	−0.0518788	−	0.141671i
$334$	2.46901	−	15.8760i	0.135098	−	0.868698i
$335$	−0.798382	+	1.38284i	−0.0436203	+	0.0755525i
$336$	16.1834	+	8.60805i	0.882875	+	0.469608i
$337$	7.06599	+	12.2387i	0.384909	+	0.666682i	0.991757	−	0.128136i	$-0.0408995\pi$
$337$	7.06599	+	12.2387i	0.384909	+	0.666682i	−0.606847	+	0.794818i	$0.707566\pi$
$338$	−11.6924	+	4.52584i	−0.635980	+	0.246173i
$339$	1.51296	−	0.268305i	0.0821725	−	0.0145723i
$340$	−23.2733	−	25.5585i	−1.26217	−	1.38611i
$341$	−5.55712	+	9.62521i	−0.300935	+	0.521234i
$342$	−7.95763	+	23.4729i	−0.430299	+	1.26927i
$343$	18.3347	+	2.61543i	0.989978	+	0.141220i
$344$	−0.215461	−	0.325762i	−0.0116169	−	0.0175639i
$345$	−2.04915	−	0.743556i	−0.110323	−	0.0400317i
$346$	3.67929	−	23.6583i	0.197800	−	1.27188i
$347$	−4.84006	+	8.38322i	−0.259828	+	0.450035i	−0.966196	−	0.257810i	$-0.916999\pi$
$347$	−4.84006	+	8.38322i	−0.259828	+	0.450035i	0.706368	+	0.707845i	$0.250332\pi$
$348$	8.46061	+	6.52102i	0.453536	+	0.349563i
$349$	1.86099	−	3.22333i	0.0996165	−	0.172541i	−0.811909	−	0.583783i	$-0.801572\pi$
$349$	1.86099	−	3.22333i	0.0996165	−	0.172541i	0.911526	+	0.411243i	$0.134905\pi$
$350$	13.6724	−	4.56255i	0.730820	−	0.243879i
$351$	−9.16555	−	5.25585i	−0.489221	−	0.280536i
$352$	−15.5456	−	3.93324i	−0.828585	−	0.209642i
$353$		−	0.866762i		−	0.0461331i	−0.999734	−	0.0230665i	$-0.992657\pi$
$353$		−	0.866762i		−	0.0461331i	0.999734	−	0.0230665i	$-0.00734296\pi$
$354$	−36.1301	+	0.767203i	−1.92029	+	0.0407764i
$355$			11.5146i			0.611134i
$356$	6.08216	−	19.0816i	0.322354	−	1.01132i
$357$	−24.5674	−	10.2516i	−1.30025	−	0.542572i
$358$	−4.10855	+	26.4185i	−0.217144	+	1.39626i
$359$	−3.73456	−	2.15615i	−0.197103	−	0.113797i	0.398201	−	0.917298i	$-0.369635\pi$
$359$	−3.73456	−	2.15615i	−0.197103	−	0.113797i	−0.595303	+	0.803501i	$0.702968\pi$
$360$	23.1356	−	10.1044i	1.21936	−	0.532551i
$361$	7.56388	+	13.1010i	0.398099	+	0.689528i
$362$	−21.3028	−	17.1522i	−1.11965	−	0.901499i
$363$	1.75141	−	4.82667i	0.0919250	−	0.253335i
$364$	1.79701	+	10.6083i	0.0941889	+	0.556027i
$365$	25.1209	−	14.5036i	1.31489	−	0.759152i
$366$	−31.5656	−	17.3415i	−1.64996	−	0.906456i
$367$	3.65561			0.190821			0.0954106	−	0.995438i	$-0.469584\pi$
$367$	3.65561			0.190821			0.0954106	+	0.995438i	$0.469584\pi$
$368$	0.705463	+	1.53795i	0.0367748	+	0.0801710i
$369$	−27.2944	−	4.75756i	−1.42089	−	0.247669i
$370$	1.39389	+	3.60106i	0.0724648	+	0.187210i
$371$	1.57344	−	33.2888i	0.0816891	−	1.72827i
$372$	−8.29134	+	10.7575i	−0.429886	+	0.557750i
$373$		−	13.4741i		−	0.697662i	−0.937186	−	0.348831i	$-0.886579\pi$
$373$		−	13.4741i		−	0.697662i	0.937186	−	0.348831i	$-0.113421\pi$
$374$	23.0113	+	3.57867i	1.18988	+	0.185048i
$375$	−2.01760	+	5.56028i	−0.104189	+	0.287131i
$376$	0.830916	−	0.0505423i	0.0428512	−	0.00260652i
$377$			6.27009i			0.322926i
$378$	12.8516	−	14.5889i	0.661015	−	0.750373i
$379$	22.1179			1.13612			0.568061	−	0.822986i	$-0.307694\pi$
$379$	22.1179			1.13612			0.568061	+	0.822986i	$0.307694\pi$
$380$	10.5570	−	33.1206i	0.541564	−	1.69905i
$381$	−7.01599	−	2.54582i	−0.359440	−	0.130427i
$382$	17.5374	+	2.72738i	0.897291	+	0.139545i
$383$	0.0659813			0.00337148			0.00168574	−	0.999999i	$-0.499463\pi$
$383$	0.0659813			0.00337148			0.00168574	+	0.999999i	$0.499463\pi$
$384$	−18.1918	−	7.28423i	−0.928344	−	0.371722i
$385$	−12.0571	+	18.7764i	−0.614485	+	0.956932i
$386$	6.14645	−	2.37915i	0.312846	−	0.121096i
$387$	−0.389000	+	0.142449i	−0.0197740	+	0.00724108i
$388$	1.56888	−	4.92203i	0.0796476	−	0.249878i
$389$		−	18.1118i		−	0.918303i	−0.888358	−	0.459152i	$-0.848153\pi$
$389$		−	18.1118i		−	0.918303i	0.888358	−	0.459152i	$-0.151847\pi$
$390$	12.9878	+	7.13526i	0.657665	+	0.361308i
$391$	−1.22864	−	2.12807i	−0.0621350	−	0.107621i
$392$	−19.7877	−	0.667302i	−0.999432	−	0.0337038i
$393$	5.42326	+	1.96789i	0.273567	+	0.0992667i
$394$	−20.0530	+	24.9055i	−1.01026	+	1.25472i
$395$	−34.9481	+	20.1773i	−1.75843	+	1.01523i
$396$	−7.87117	+	15.0773i	−0.395541	+	0.757661i
$397$	5.98252	−	10.3620i	0.300254	−	0.520056i	−0.675939	−	0.736957i	$-0.736262\pi$
$397$	5.98252	−	10.3620i	0.300254	−	0.520056i	0.976193	+	0.216902i	$0.0695952\pi$
$398$	−4.73541	+	30.4493i	−0.237365	+	1.52628i
$399$	−3.42482	−	26.5510i	−0.171456	−	1.32921i
$400$	−14.0056	+	6.42443i	−0.700280	+	0.321221i
$401$	9.65445			0.482120			0.241060	−	0.970510i	$-0.422505\pi$
$401$	9.65445			0.482120			0.241060	+	0.970510i	$0.422505\pi$
$402$	−0.0279083	−	1.31430i	−0.00139194	−	0.0655511i
$403$	−7.97229			−0.397128
$404$	4.35171	+	19.9244i	0.216505	+	0.991274i
$405$	−4.75323	−	26.3521i	−0.236190	−	1.30945i
$406$	−11.3044	−	2.30934i	−0.561030	−	0.114611i
$407$	−2.25291	−	1.30072i	−0.111673	−	0.0644743i
$408$	27.2919	+	8.06504i	1.35115	+	0.399279i
$409$	3.49193	+	2.01607i	0.172665	+	0.0996882i	0.583842	−	0.811867i	$-0.301549\pi$
$409$	3.49193	+	2.01607i	0.172665	+	0.0996882i	−0.411177	+	0.911556i	$0.634882\pi$
$410$	38.3974	+	5.97149i	1.89631	+	0.294911i
$411$	10.0262	−	27.6311i	0.494557	−	1.36294i
$412$	2.72812	+	12.4907i	0.134405	+	0.615375i
$413$	34.6880	−	17.8991i	1.70689	−	0.880757i
$414$	1.76004	−	0.350817i	0.0865014	−	0.0172417i
$415$	−16.9790	−	9.80285i	−0.833468	−	0.481203i
$416$	−3.13213	−	11.0677i	−0.153565	−	0.542638i
$417$	3.00088	+	16.9218i	0.146954	+	0.828663i
$418$	8.45390	+	21.8404i	0.413494	+	1.06825i
$419$	16.0495	−	9.26620i	0.784071	−	0.452684i	−0.0538000	−	0.998552i	$-0.517133\pi$
$419$	16.0495	−	9.26620i	0.784071	−	0.452684i	0.837871	+	0.545868i	$0.183800\pi$
$420$	−17.6478	+	20.7879i	−0.861125	+	1.01435i
$421$	3.57179	+	2.06217i	0.174078	+	0.100504i	0.584508	−	0.811388i	$-0.301288\pi$
$421$	3.57179	+	2.06217i	0.174078	+	0.100504i	−0.410429	+	0.911893i	$0.634621\pi$
$422$	−5.06421	+	32.5635i	−0.246522	+	1.58517i
$423$	0.151617	−	0.869833i	0.00737187	−	0.0422927i
$424$	2.16309	+	35.5613i	0.105049	+	1.72701i
$425$	19.3796	−	11.1888i	0.940051	−	0.542739i
$426$	−4.91314	−	8.10730i	−0.238043	−	0.392800i
$427$	38.8578	+	1.83667i	1.88046	+	0.0888826i
$428$	7.54368	+	2.40451i	0.364638	+	0.116227i
$429$	−9.83004	+	1.74324i	−0.474599	+	0.0841644i
$430$	0.541848	−	0.209737i	0.0261302	−	0.0101144i
$431$	21.9893	−	12.6955i	1.05918	−	0.611521i	0.133978	−	0.990984i	$-0.457225\pi$
$431$	21.9893	−	12.6955i	1.05918	−	0.611521i	0.925207	+	0.379464i	$0.123891\pi$
$432$	−11.9781	+	16.9861i	−0.576294	+	0.817242i
$433$		−	24.3459i		−	1.16999i	−0.811038	−	0.584994i	$-0.801097\pi$
$433$		−	24.3459i		−	1.16999i	0.811038	−	0.584994i	$-0.198903\pi$
$434$	2.93628	−	14.3733i	0.140946	−	0.689943i
$435$	−12.1631	+	10.2264i	−0.583177	+	0.490319i
$436$	0.305294	+	0.335271i	0.0146209	+	0.0160566i
$437$	1.23558	−	2.14009i	0.0591059	−	0.102374i
$438$	−11.4988	+	20.9305i	−0.549435	+	1.00010i
$439$	13.7267	+	23.7753i	0.655139	+	1.13473i	0.981859	+	0.189613i	$0.0607232\pi$
$439$	13.7267	+	23.7753i	0.655139	+	1.13473i	−0.326720	+	0.945121i	$0.605943\pi$
$440$	10.6511	−	21.3450i	0.507773	−	1.01758i
$441$	−5.54132	+	20.2557i	−0.263872	+	0.964558i
$442$	6.02996	+	15.5782i	0.286816	+	0.740979i
$443$	7.41480	+	12.8428i	0.352288	+	0.610180i	0.986650	−	0.162856i	$-0.0520705\pi$
$443$	7.41480	+	12.8428i	0.352288	+	0.610180i	−0.634362	+	0.773036i	$0.718737\pi$
$444$	−2.51794	−	1.94070i	−0.119496	−	0.0921017i
$445$	25.8019	+	14.8967i	1.22313	+	0.706173i
$446$	−0.794369	+	0.307482i	−0.0376144	+	0.0145597i
$447$	−13.6108	−	4.93880i	−0.643767	−	0.233597i
$448$	21.1077	−	1.57063i	0.997243	−	0.0742051i
$449$	−28.3233			−1.33666			−0.668329	−	0.743866i	$-0.732990\pi$
$449$	−28.3233			−1.33666			−0.668329	+	0.743866i	$0.732990\pi$
$450$	3.19478	+	16.0282i	0.150604	+	0.755575i
$451$	−22.6719	+	13.0897i	−1.06758	+	0.616368i
$452$	1.31188	−	1.19458i	0.0617054	−	0.0561881i
$453$	7.88158	+	2.85991i	0.370309	+	0.134370i
$454$	10.3001	−	12.7926i	0.483407	−	0.600385i
$455$	−15.9882	−	0.755707i	−0.749541	−	0.0354281i
$456$	6.69903	+	27.8243i	0.313711	+	1.30299i
$457$	−4.12417	−	7.14328i	−0.192921	−	0.334148i	0.753296	−	0.657681i	$-0.228463\pi$
$457$	−4.12417	−	7.14328i	−0.192921	−	0.334148i	−0.946217	+	0.323533i	$0.895129\pi$
$458$	18.2517	+	14.6956i	0.852846	+	0.686680i
$459$	15.0155	−	26.1851i	0.700863	−	1.22222i
$460$	−2.45914	+	0.537104i	−0.114658	+	0.0250426i
$461$	−12.0370	+	20.8487i	−0.560619	+	0.971020i	0.436824	+	0.899547i	$0.356103\pi$
$461$	−12.0370	+	20.8487i	−0.560619	+	0.971020i	−0.997443	+	0.0714731i	$0.977230\pi$
$462$	0.477591	−	18.3648i	0.0222196	−	0.854406i
$463$	−33.3993	+	19.2831i	−1.55220	+	0.896160i	−0.554232	+	0.832362i	$0.686988\pi$
$463$	−33.3993	+	19.2831i	−1.55220	+	0.896160i	−0.997963	+	0.0637983i	$0.979679\pi$
$464$	12.2806	+	1.15197i	0.570114	+	0.0534787i
$465$	−13.0027	−	15.4652i	−0.602984	−	0.717180i
$466$	−1.97017	+	0.762609i	−0.0912665	+	0.0353272i
$467$	1.11369	+	0.642989i	0.0515354	+	0.0297540i	0.525546	−	0.850765i	$-0.323861\pi$
$467$	1.11369	+	0.642989i	0.0515354	+	0.0297540i	−0.474011	+	0.880519i	$0.657194\pi$
$468$	−12.1891	+	0.517890i	−0.563440	+	0.0239395i
$469$	0.651111	+	1.26184i	0.0300655	+	0.0582662i
$470$	−0.190303	+	1.22367i	−0.00877803	+	0.0564438i
$471$	24.4259	+	29.0518i	1.12549	+	1.33864i
$472$	−34.8048	+	23.0201i	−1.60202	+	1.05958i
$473$	−0.195718	+	0.338993i	−0.00899912	+	0.0155869i
$474$	15.9971	−	29.1184i	0.734771	−	1.33745i
$475$	19.4891	+	11.2521i	0.894222	+	0.516280i
$476$	−30.3070	+	5.13389i	−1.38912	+	0.235312i
$477$	37.2268	+	6.48885i	1.70450	+	0.297104i
$478$	28.3991	+	4.41657i	1.29894	+	0.202009i
$479$	23.6687			1.08145			0.540725	−	0.841200i	$-0.318150\pi$
$479$	23.6687			1.08145			0.540725	+	0.841200i	$0.318150\pi$
$480$	16.3613	−	24.1271i	0.746789	−	1.10125i
$481$		−	1.86602i		−	0.0850834i
$482$	−23.0539	+	28.6326i	−1.05008	+	1.30418i
$483$	−1.54097	+	1.17603i	−0.0701165	+	0.0535113i
$484$	−1.26512	−	5.79238i	−0.0575056	−	0.263290i
$485$	6.65553	+	3.84257i	0.302212	+	0.174482i
$486$	14.5908	+	16.5260i	0.661851	+	0.749636i
$487$	−19.1231	+	11.0407i	−0.866551	+	0.500303i	−0.866200	−	0.499697i	$-0.833445\pi$
$487$	−19.1231	+	11.0407i	−0.866551	+	0.500303i	−0.000350277		1.00000i	$0.500111\pi$
$488$	−41.5104	+	2.52496i	−1.87909	+	0.114299i
$489$	−17.4265	−	20.7268i	−0.788055	−	0.937299i
$490$	7.25111	−	28.5471i	0.327572	−	1.28963i
$491$	−19.0546	−	33.0035i	−0.859920	−	1.48943i	−0.872004	−	0.489498i	$-0.837180\pi$
$491$	−19.0546	−	33.0035i	−0.859920	−	1.48943i	0.0120841	−	0.999927i	$-0.496153\pi$
$492$	−29.5830	+	12.1792i	−1.33371	+	0.549081i
$493$	−17.9131			−0.806765
$494$	−10.5353	+	13.0847i	−0.474006	+	0.588708i
$495$	−19.4143	−	16.2257i	−0.872607	−	0.729293i
$496$	−1.46470	+	15.6146i	−0.0657670	+	0.701115i
$497$	8.61597	+	5.53266i	0.386479	+	0.248174i
$498$	16.1374	−	0.342669i	0.723136	−	0.0153554i
$499$	−12.9612			−0.580223			−0.290111	−	0.956993i	$-0.593692\pi$
$499$	−12.9612			−0.580223			−0.290111	+	0.956993i	$0.593692\pi$
$500$	1.45741	+	6.67277i	0.0651773	+	0.298415i
$501$	−19.3755	+	3.43602i	−0.865634	+	0.153510i
$502$	13.7894	−	17.1262i	0.615451	−	0.764382i
$503$	−7.15981			−0.319240			−0.159620	−	0.987179i	$-0.551027\pi$
$503$	−7.15981			−0.319240			−0.159620	+	0.987179i	$0.551027\pi$
$504$	3.55565	−	22.1666i	0.158381	−	0.987378i
$505$	−30.3388			−1.35006
$506$	1.06350	−	1.32085i	0.0472783	−	0.0587189i
$507$	9.88186	+	11.7533i	0.438869	+	0.521983i
$508$	−8.41974	+	1.83897i	−0.373565	+	0.0815909i
$509$	32.9787			1.46175			0.730877	−	0.682509i	$-0.239111\pi$
$509$	32.9787			1.46175			0.730877	+	0.682509i	$0.239111\pi$
$510$	−20.3848	+	37.1051i	−0.902654	+	1.64304i
$511$	1.21786	−	25.7658i	0.0538749	−	1.13981i
$512$	−22.2526	+	4.10121i	−0.983437	+	0.181250i
$513$	30.3553	−	0.0892893i	1.34022	−	0.00394222i
$514$	−4.30516	+	5.34695i	−0.189893	+	0.235844i
$515$	−19.0197			−0.838107
$516$	−0.292015	+	0.378872i	−0.0128553	+	0.0166789i
$517$	−0.417149	−	0.722524i	−0.0183462	−	0.0317766i
$518$	3.36428	+	0.687276i	0.147818	+	0.0301972i
$519$	−28.8731	+	5.12031i	−1.26739	+	0.224757i
$520$	17.0797	−	1.03891i	0.748993	−	0.0455591i
$521$	18.8862	−	10.9040i	0.827422	−	0.477712i	−0.0255475	−	0.999674i	$-0.508133\pi$
$521$	18.8862	−	10.9040i	0.827422	−	0.477712i	0.852969	+	0.521962i	$0.174800\pi$
$522$	4.20042	−	12.3901i	0.183847	−	0.542301i
$523$	−27.0077	−	15.5929i	−1.18097	−	0.681831i	−0.224728	−	0.974422i	$-0.572149\pi$
$523$	−27.0077	−	15.5929i	−1.18097	−	0.681831i	−0.956238	+	0.292591i	$0.905483\pi$
$524$	6.50834	−	1.42149i	0.284318	−	0.0620983i
$525$	−10.7097	−	14.0331i	−0.467412	−	0.612455i
$526$	−14.4015	+	17.8864i	−0.627935	+	0.779886i
$527$		−	22.7761i		−	0.992143i
$528$	1.60830	+	19.5734i	0.0699924	+	0.851824i
$529$	22.8211			0.992220
$530$	−52.3703	−	8.14453i	−2.27482	−	0.353776i
$531$	15.2194	+	41.5612i	0.660465	+	1.80360i
$532$	−19.7103	−	23.8135i	−0.854550	−	1.03244i
$533$	−16.2627	−	9.38927i	−0.704415	−	0.406694i
$534$	−24.5230	+	0.520732i	−1.06121	+	0.0225343i
$535$	−5.88926	+	10.2005i	−0.254615	+	0.441006i
$536$	−0.837395	−	1.26609i	−0.0361700	−	0.0546865i
$537$	32.2418	−	5.71770i	1.39134	−	0.246737i
$538$	−4.67913	+	30.0874i	−0.201731	+	1.29716i
$539$	8.25635	+	18.0437i	0.355626	+	0.777196i
$540$	−20.8848	−	22.8005i	−0.898739	−	0.981176i
$541$	−7.96747	−	4.60002i	−0.342548	−	0.197770i	0.318850	−	0.947805i	$-0.396703\pi$
$541$	−7.96747	−	4.60002i	−0.342548	−	0.197770i	−0.661398	+	0.750035i	$0.730037\pi$
$542$	21.2849	−	8.23890i	0.914265	−	0.353891i
$543$	−11.4256	+	31.4875i	−0.490318	+	1.35126i
$544$	31.6193	−	8.94822i	1.35567	−	0.383652i
$545$	−0.584183	+	0.337278i	−0.0250237	+	0.0144474i
$546$	11.5796	−	6.28988i	0.495559	−	0.269182i
$547$	10.3009	−	17.8417i	0.440435	−	0.762856i	−0.557287	−	0.830320i	$-0.688158\pi$
$547$	10.3009	−	17.8417i	0.440435	−	0.762856i	0.997722	+	0.0674645i	$0.0214909\pi$
$548$	−7.24240	−	33.1595i	−0.309380	−	1.41650i
$549$	−7.57438	+	43.4546i	−0.323267	+	1.85460i
$550$	12.0286	+	9.68495i	0.512900	+	0.412968i
$551$	−9.00714	−	15.6008i	−0.383717	−	0.664617i
$552$	1.50227	−	1.42745i	0.0639410	−	0.0607563i
$553$	−1.69428	+	35.8453i	−0.0720480	+	1.52430i
$554$	−15.8955	+	19.7420i	−0.675337	+	0.838758i
$555$	3.61983	−	3.04345i	0.153653	−	0.129187i
$556$	13.3608	+	14.6728i	0.566626	+	0.622265i
$557$	16.6167	−	9.59363i	0.704070	−	0.406495i	−0.104791	−	0.994494i	$-0.533417\pi$
$557$	16.6167	−	9.59363i	0.704070	−	0.406495i	0.808862	+	0.587999i	$0.200084\pi$
$558$	15.7538	+	5.34074i	0.666910	+	0.226092i
$559$	−0.280779			−0.0118757
$560$	−4.41756	+	31.1758i	−0.186676	+	1.31742i
$561$	−4.98028	−	28.0835i	−0.210268	−	1.18569i
$562$	16.2884	−	6.30486i	0.687084	−	0.265954i
$563$	4.86869	+	2.81094i	0.205191	+	0.118467i	0.599074	−	0.800693i	$-0.295535\pi$
$563$	4.86869	+	2.81094i	0.205191	+	0.118467i	−0.393884	+	0.919160i	$0.628869\pi$
$564$	−0.388134	−	0.942770i	−0.0163434	−	0.0396978i
$565$	1.31973	+	2.28584i	0.0555214	+	0.0961659i
$566$	−3.40705	−	8.80200i	−0.143209	−	0.369976i
$567$	−22.0022	−	9.10524i	−0.924003	−	0.382384i
$568$	−9.79465	−	4.88752i	−0.410975	−	0.205076i
$569$	11.6184	+	20.1236i	0.487068	+	0.843626i	0.999889	−	0.0148689i	$-0.00473308\pi$
$569$	11.6184	+	20.1236i	0.487068	+	0.843626i	−0.512822	+	0.858495i	$0.671400\pi$
$570$	−42.5654	+	0.903853i	−1.78287	+	0.0378583i
$571$	−14.4497	+	25.0276i	−0.604700	+	1.04737i	0.387398	+	0.921912i	$0.373374\pi$
$571$	−14.4497	+	25.0276i	−0.604700	+	1.04737i	−0.992099	+	0.125459i	$0.959960\pi$
$572$	−8.52357	+	7.76145i	−0.356388	+	0.324522i
$573$	−3.79558	−	21.4031i	−0.158563	−	0.894126i
$574$	22.9178	−	25.8621i	0.956569	−	1.07946i
$575$		−	1.62950i		−	0.0679550i
$576$	−1.22508	+	23.9687i	−0.0510452	+	0.998696i
$577$	−30.3356	+	17.5143i	−1.26289	+	0.729129i	−0.973632	−	0.228123i	$-0.926741\pi$
$577$	−30.3356	+	17.5143i	−1.26289	+	0.729129i	−0.289256	+	0.957252i	$0.593408\pi$
$578$	−22.0849	+	8.54855i	−0.918609	+	0.355573i
$579$	−5.19471	−	6.17850i	−0.215885	−	0.256770i
$580$	−5.57250	+	17.4826i	−0.231386	+	0.725926i
$581$	−15.4933	+	7.99459i	−0.642771	+	0.331672i
$582$	−6.32563	+	0.134321i	−0.262206	+	0.00556780i
$583$	30.9223	−	17.8530i	1.28067	−	0.739396i
$584$	1.67425	+	27.5247i	0.0692809	+	1.13898i
$585$	3.11652	−	17.8796i	0.128852	−	0.739232i
$586$	−1.28912	+	8.28917i	−0.0532529	+	0.342422i
$587$	−8.53838	−	4.92964i	−0.352417	−	0.203468i	0.313332	−	0.949643i	$-0.398555\pi$
$587$	−8.53838	−	4.92964i	−0.352417	−	0.203468i	−0.665749	+	0.746176i	$0.731888\pi$
$588$	7.07524	+	23.1936i	0.291778	+	0.956486i
$589$	19.8361	−	11.4524i	0.817333	−	0.471887i
$590$	−22.4085	−	57.8916i	−0.922544	−	2.38336i
$591$	36.8127	+	13.3579i	1.51427	+	0.549470i
$592$	−3.65480	−	0.342834i	−0.150211	−	0.0140904i
$593$	17.7154	+	10.2280i	0.727486	+	0.420014i	0.817502	−	0.575926i	$-0.195358\pi$
$593$	17.7154	+	10.2280i	0.727486	+	0.420014i	−0.0900157	+	0.995940i	$0.528692\pi$
$594$	20.5926	+	3.14051i	0.844925	+	0.128857i
$595$	2.15899	−	45.6770i	0.0885098	−	1.87257i
$596$	−16.3340	+	3.56752i	−0.669066	+	0.146131i
$597$	37.1611	−	6.59008i	1.52090	−	0.269714i
$598$	1.20194	+	0.186924i	0.0491511	+	0.00764389i
$599$	−17.1747	−	9.91579i	−0.701737	−	0.405148i	0.106257	−	0.994339i	$-0.466113\pi$
$599$	−17.1747	−	9.91579i	−0.701737	−	0.405148i	−0.807994	+	0.589190i	$0.799447\pi$
$600$	12.9993	+	13.6807i	0.530696	+	0.558513i
$601$	−28.9335	−	16.7048i	−1.18022	−	0.681401i	−0.224156	−	0.974553i	$-0.571962\pi$
$601$	−28.9335	−	16.7048i	−1.18022	−	0.681401i	−0.956066	+	0.293152i	$0.905296\pi$
$602$	0.103414	−	0.506220i	0.00421483	−	0.0206320i
$603$	−1.51186	+	0.553632i	−0.0615677	+	0.0225456i
$604$	9.45851	−	2.06585i	0.384861	−	0.0840581i
$605$	8.82007			0.358587
$606$	21.3612	−	12.9452i	0.867738	−	0.525861i
$607$	−19.1189			−0.776011			−0.388006	−	0.921657i	$-0.626836\pi$
$607$	−19.1189			−0.776011			−0.388006	+	0.921657i	$0.626836\pi$
$608$	23.6921	+	23.0385i	0.960843	+	0.934333i
$609$	1.80779	+	14.0149i	0.0732552	+	0.567911i
$610$	9.50704	−	61.1314i	0.384929	−	2.47514i
$611$	0.299223	−	0.518270i	0.0121053	−	0.0209669i
$612$	−1.47956	−	34.8231i	−0.0598078	−	1.40764i
$613$	−30.4301	+	17.5688i	−1.22906	+	0.709598i	−0.966833	−	0.255408i	$-0.917790\pi$
$613$	−30.4301	+	17.5688i	−1.22906	+	0.709598i	−0.262227	+	0.965006i	$0.584457\pi$
$614$	−3.07231	+	3.81576i	−0.123988	+	0.153991i
$615$	−8.31027	−	46.8612i	−0.335102	−	1.88962i
$616$	−10.8539	−	18.2259i	−0.437316	−	0.734342i
$617$	9.74410	+	16.8773i	0.392283	+	0.679454i	0.992750	−	0.120195i	$-0.0383521\pi$
$617$	9.74410	+	16.8773i	0.392283	+	0.679454i	−0.600467	+	0.799649i	$0.705019\pi$
$618$	13.3915	−	8.11543i	0.538685	−	0.326451i
$619$			2.35779i			0.0947675i	0.998877	+	0.0473838i	$0.0150884\pi$
$619$			2.35779i			0.0947675i	−0.998877	+	0.0473838i	$0.984912\pi$
$620$	−22.2288	−	7.08532i	−0.892730	−	0.284553i
$621$	−1.10460	−	1.90029i	−0.0443260	−	0.0762560i
$622$	44.8010	−	17.3414i	1.79636	−	0.695328i
$623$	23.5442	−	12.1489i	0.943278	−	0.486734i
$624$	−11.5823	+	8.01914i	−0.463662	+	0.321023i
$625$	−29.4216			−1.17686
$626$	−2.31414	−	0.359890i	−0.0924916	−	0.0143841i
$627$	21.9542	−	18.4585i	0.876768	−	0.737161i
$628$	41.7575	+	13.3100i	1.66631	+	0.531127i
$629$	5.33106			0.212563
$630$	31.0876	+	12.2041i	1.23856	+	0.486222i
$631$		−	17.0697i		−	0.679532i	−0.940510	−	0.339766i	$-0.889652\pi$
$631$		−	17.0697i		−	0.679532i	0.940510	−	0.339766i	$-0.110348\pi$
$632$	−2.32921	−	38.2922i	−0.0926509	−	1.52318i
$633$	39.7413	−	7.04765i	1.57958	−	0.280119i
$634$	−29.4018	−	4.57251i	−1.16770	−	0.181598i
$635$		−	12.8207i		−	0.508776i
$636$	40.3484	−	16.6112i	1.59992	−	0.658678i
$637$	−8.24764	+	11.6003i	−0.326783	+	0.459620i
$638$	−4.46238	−	11.5284i	−0.176667	−	0.456413i
$639$	−7.44556	+	8.90869i	−0.294542	+	0.352422i
$640$	1.10314	−	33.6432i	0.0436053	−	1.32986i
$641$	0.479493			0.0189389			0.00946943	−	0.999955i	$-0.496986\pi$
$641$	0.479493			0.0189389			0.00946943	+	0.999955i	$0.496986\pi$
$642$	−0.205866	−	9.69489i	−0.00812487	−	0.382627i
$643$	−38.8842	+	22.4498i	−1.53344	+	0.885333i	−0.534243	+	0.845331i	$0.679403\pi$
$643$	−38.8842	+	22.4498i	−1.53344	+	0.885333i	−0.999200	+	0.0400025i	$0.987263\pi$
$644$	−0.779696	+	2.09815i	−0.0307243	+	0.0826788i
$645$	−0.457945	−	0.544673i	−0.0180316	−	0.0214465i
$646$	−37.3818	−	30.0984i	−1.47077	−	1.18421i
$647$	−16.4690	−	28.5251i	−0.647462	−	1.12144i	−0.983727	−	0.179670i	$-0.942497\pi$
$647$	−16.4690	−	28.5251i	−0.647462	−	1.12144i	0.336265	−	0.941768i	$-0.390836\pi$
$648$	24.4333	+	7.14224i	0.959833	+	0.280574i
$649$	36.2184	+	20.9107i	1.42170	+	0.820817i
$650$	−1.70226	+	10.9457i	−0.0667680	+	0.429327i
$651$	−17.8196	+	2.29856i	−0.698406	+	0.0900878i
$652$	−29.7916	−	9.49593i	−1.16673	−	0.371889i
$653$		−	11.2961i		−	0.442052i	−0.975268	−	0.221026i	$-0.929059\pi$
$653$		−	11.2961i		−	0.442052i	0.975268	−	0.221026i	$-0.0709406\pi$
$654$	0.267403	−	0.486736i	0.0104563	−	0.0190329i
$655$			9.91025i			0.387225i
$656$	−21.3777	+	30.1271i	−0.834659	+	1.17627i
$657$	28.8139	+	5.02242i	1.12414	+	0.195943i
$658$	0.824188	+	0.730357i	0.0321302	+	0.0284723i
$659$	1.96505	−	3.40357i	0.0765477	−	0.132584i	−0.825211	−	0.564825i	$-0.808944\pi$
$659$	1.96505	−	3.40357i	0.0765477	−	0.132584i	0.901758	+	0.432241i	$0.142277\pi$
$660$	−28.9580	−	3.87578i	−1.12719	−	0.150865i
$661$	4.24392	−	7.35068i	0.165069	−	0.285908i	−0.771611	−	0.636095i	$-0.780549\pi$
$661$	4.24392	−	7.35068i	0.165069	−	0.285908i	0.936680	+	0.350187i	$0.113882\pi$
$662$	2.89046	−	18.5860i	0.112341	−	0.722366i
$663$	15.6594	−	13.1660i	0.608161	−	0.511325i
$664$	15.5455	−	10.2819i	0.603282	−	0.399014i
$665$	40.8665	−	21.0872i	1.58473	−	0.817727i
$666$	−1.25007	+	3.68739i	−0.0484394	+	0.142883i
$667$	−0.652199	+	1.12964i	−0.0252533	+	0.0437399i
$668$	−16.8004	+	15.2982i	−0.650027	+	0.591906i
$669$	0.671365	+	0.798511i	0.0259565	+	0.0308722i
$670$	2.10591	−	0.815148i	0.0813583	−	0.0314919i
$671$	20.8397	+	36.0954i	0.804507	+	1.39345i
$672$	−10.1919	−	23.8354i	−0.393163	−	0.919469i
$673$	−20.8660	+	36.1410i	−0.804326	+	1.39313i	0.112420	+	0.993661i	$0.464140\pi$
$673$	−20.8660	+	36.1410i	−0.804326	+	1.39313i	−0.916745	+	0.399472i	$0.869193\pi$
$674$	3.07121	−	19.7483i	0.118299	−	0.760674i
$675$	17.3053	−	10.0592i	0.666083	−	0.387180i
$676$	16.8936	+	5.38475i	0.649753	+	0.207106i
$677$	3.46571	+	6.00279i	0.133198	+	0.230706i	0.924908	−	0.380192i	$-0.124142\pi$
$677$	3.46571	+	6.00279i	0.133198	+	0.230706i	−0.791710	+	0.610898i	$0.790809\pi$
$678$	−1.90454	−	1.04632i	−0.0731434	−	0.0401835i
$679$	6.07315	−	3.13376i	0.233066	−	0.120263i
$680$	2.96806	+	48.7951i	0.113820	+	1.87121i
$681$	−18.9086	−	6.86119i	−0.724580	−	0.262921i
$682$	14.6581	−	5.67382i	0.561288	−	0.217262i
$683$	−3.08675	−	5.34641i	−0.118111	−	0.204575i	0.800908	−	0.598787i	$-0.204351\pi$
$683$	−3.08675	−	5.34641i	−0.118111	−	0.204575i	−0.919019	+	0.394213i	$0.871017\pi$
$684$	29.5841	−	18.7985i	1.13118	−	0.718778i
$685$	50.4919			1.92920
$686$	−17.8766	−	19.1423i	−0.682532	−	0.730856i
$687$	9.78916	−	26.9778i	0.373480	−	1.02927i
$688$	−0.0515858	+	0.549934i	−0.00196669	+	0.0209661i
$689$	22.1807	+	12.8060i	0.845018	+	0.487872i
$690$	1.59774	+	2.63648i	0.0608250	+	0.100369i
$691$	−7.11065	+	4.10533i	−0.270502	+	0.156174i	−0.629116	−	0.777312i	$-0.716583\pi$
$691$	−7.11065	+	4.10533i	−0.270502	+	0.156174i	0.358614	+	0.933486i	$0.383249\pi$
$692$	−25.0357	+	22.7972i	−0.951716	+	0.866620i
$693$	−21.4694	+	6.73067i	−0.815556	+	0.255677i
$694$	12.7667	−	4.94170i	0.484617	−	0.187584i
$695$	−25.5661	+	14.7606i	−0.969779	+	0.559902i
$696$	−3.53607	−	14.6870i	−0.134034	−	0.556709i
$697$	26.8243	−	46.4610i	1.01604	−	1.75984i
$698$	−4.90877	+	1.90007i	−0.185800	+	0.0719188i
$699$	1.66510	+	1.98044i	0.0629799	+	0.0749073i
$700$	−19.1072	−	7.10044i	−0.722185	−	0.268372i
$701$		−	12.4678i		−	0.470904i	−0.971886	−	0.235452i	$-0.924343\pi$
$701$		−	12.4678i		−	0.470904i	0.971886	−	0.235452i	$-0.0756570\pi$
$702$	5.43469	+	13.9186i	0.205119	+	0.525323i
$703$	2.68059	+	4.64292i	0.101100	+	0.175111i
$704$	13.6356	+	18.1203i	0.513912	+	0.682933i
$705$	1.49340	−	0.264837i	0.0562447	−	0.00997433i
$706$	−0.768744	+	0.954769i	−0.0289321	+	0.0359332i
$707$	−14.5775	+	22.7014i	−0.548242	+	0.853773i
$708$	40.4791	+	31.1993i	1.52130	+	1.17254i
$709$	−23.6114	+	13.6321i	−0.886746	+	0.511963i	−0.872877	−	0.487941i	$-0.837748\pi$
$709$	−23.6114	+	13.6321i	−0.886746	+	0.511963i	−0.0138689	+	0.999904i	$0.504415\pi$
$710$	10.2125	−	12.6838i	0.383269	−	0.476014i
$711$	−40.0857	−	6.98717i	−1.50333	−	0.262039i
$712$	−23.6235	+	15.6247i	−0.885326	+	0.585559i
$713$	−1.43632	−	0.829258i	−0.0537905	−	0.0310559i
$714$	17.9696	+	33.0817i	0.672496	+	1.23805i
$715$	−8.57460	−	14.8516i	−0.320672	−	0.555420i
$716$	27.9567	−	25.4570i	1.04479	−	0.951372i
$717$	−6.14636	−	34.6590i	−0.229540	−	1.29436i
$718$	2.20143	+	5.68732i	0.0821567	+	0.212249i
$719$	13.8986	−	24.0730i	0.518329	−	0.897773i	−0.481444	−	0.876477i	$-0.659888\pi$
$719$	13.8986	−	24.0730i	0.518329	−	0.897773i	0.999773	−	0.0212957i	$-0.00677914\pi$
$720$	−34.4465	−	9.38895i	−1.28375	−	0.349905i
$721$	−9.13874	+	14.2317i	−0.340344	+	0.530016i
$722$	3.28762	−	21.1398i	0.122352	−	0.786741i
$723$	42.3217	+	15.3569i	1.57396	+	0.571128i
$724$	8.25322	+	37.7875i	0.306728	+	1.40436i
$725$	−10.2873	−	5.93937i	−0.382061	−	0.220583i
$726$	−6.21009	+	3.76340i	−0.230478	+	0.139673i
$727$	−15.6819	+	27.1618i	−0.581609	+	1.00738i	0.413680	+	0.910422i	$0.364243\pi$
$727$	−15.6819	+	27.1618i	−0.581609	+	1.00738i	−0.995289	+	0.0969534i	$0.969090\pi$
$728$	7.42922	−	13.2792i	0.275345	−	0.492161i
$729$	13.3622	−	23.4617i	0.494897	−	0.868952i
$730$	−40.5350	−	6.30393i	−1.50027	−	0.233319i
$731$		−	0.802160i		−	0.0296689i
$732$	19.3902	+	47.0983i	0.716681	+	1.74080i
$733$	3.12273			0.115341			0.0576703	−	0.998336i	$-0.481633\pi$
$733$	3.12273			0.115341			0.0576703	+	0.998336i	$0.481633\pi$
$734$	−4.02678	−	3.24222i	−0.148631	−	0.119672i
$735$	−35.9547	+	2.92056i	−1.32621	+	0.107727i
$736$	0.586936	−	2.31979i	0.0216347	−	0.0855086i
$737$	−0.760664	+	1.31751i	−0.0280194	+	0.0485310i
$738$	25.8462	+	29.4484i	0.951410	+	1.08401i
$739$	2.05675	+	3.56240i	0.0756588	+	0.131045i	0.901373	−	0.433044i	$-0.142561\pi$
$739$	2.05675	+	3.56240i	0.0756588	+	0.131045i	−0.825714	+	0.564089i	$0.809227\pi$
$740$	1.65842	−	5.20295i	0.0609646	−	0.191264i
$741$	19.3404	+	7.01787i	0.710489	+	0.257808i
$742$	−31.2576	+	35.2733i	−1.14750	+	1.29492i
$743$	−22.6185	+	13.0588i	−0.829792	+	0.479081i	−0.853781	−	0.520632i	$-0.825697\pi$
$743$	−22.6185	+	13.0588i	−0.829792	+	0.479081i	0.0239894	+	0.999712i	$0.492363\pi$
$744$	18.6742	−	4.49604i	0.684629	−	0.164833i
$745$		−	24.8718i		−	0.911230i
$746$	−11.9504	+	14.8422i	−0.437534	+	0.543411i
$747$	−6.79771	−	18.5632i	−0.248715	−	0.679192i
$748$	−22.1738	−	24.3511i	−0.810753	−	0.890363i
$749$	4.80291	+	9.30793i	0.175495	+	0.340104i
$750$	7.15396	−	4.33540i	0.261226	−	0.158306i
$751$			17.2763i			0.630421i	0.949022	+	0.315211i	$0.102075\pi$
$751$			17.2763i			0.630421i	−0.949022	+	0.315211i	$0.897925\pi$
$752$	−0.960110	−	0.681278i	−0.0350116	−	0.0248437i
$753$	−25.3142	−	9.18553i	−0.922502	−	0.334739i
$754$	5.56104	−	6.90673i	0.202521	−	0.251528i
$755$			14.4025i			0.524160i
$756$	−27.0956	+	4.67192i	−0.985459	+	0.169916i
$757$			4.48135i			0.162878i	0.996678	+	0.0814388i	$0.0259515\pi$
$757$			4.48135i			0.162878i	−0.996678	+	0.0814388i	$0.974048\pi$
$758$	−24.3637	−	19.6167i	−0.884930	−	0.712512i
$759$	−1.95234	−	0.708427i	−0.0708655	−	0.0257143i
$760$	−41.0041	+	27.1203i	−1.48737	+	0.983757i
$761$		−	0.296946i		−	0.0107643i	−0.999986	−	0.00538215i	$-0.998287\pi$
$761$		−	0.296946i		−	0.0107643i	0.999986	−	0.00538215i	$-0.00171320\pi$
$762$	5.47043	+	9.02691i	0.198173	+	0.327010i
$763$	−0.0283211	+	0.599180i	−0.00102529	+	0.0216918i
$764$	−16.8991	−	18.5585i	−0.611388	−	0.671422i
$765$	51.0805	+	8.90362i	1.84682	+	0.321911i
$766$	−0.0726807	−	0.0585198i	−0.00262606	−	0.00211441i
$767$			29.9987i			1.08319i
$768$	13.5784	+	24.1584i	0.489967	+	0.871741i
$769$	−32.4627	+	18.7424i	−1.17064	+	0.675867i	−0.953830	−	0.300348i	$-0.902897\pi$
$769$	−32.4627	+	18.7424i	−1.17064	+	0.675867i	−0.216806	+	0.976215i	$0.569564\pi$
$770$	29.9343	−	9.98925i	1.07876	−	0.359987i
$771$	7.90330	+	2.86779i	0.284630	+	0.103281i
$772$	−8.88064	−	2.83066i	−0.319621	−	0.101878i
$773$	−6.03878	−	10.4595i	−0.217200	−	0.376201i	0.736751	−	0.676164i	$-0.236359\pi$
$773$	−6.03878	−	10.4595i	−0.217200	−	0.376201i	−0.953951	+	0.299963i	$0.903026\pi$
$774$	0.554837	+	0.188097i	0.0199432	+	0.00676102i
$775$	7.55179	−	13.0801i	0.271268	−	0.469851i
$776$	−6.09360	+	4.03034i	−0.218747	+	0.144681i
$777$	−0.538010	−	4.17093i	−0.0193010	−	0.149631i
$778$	−16.0636	+	19.9508i	−0.575908	+	0.715270i
$779$	53.9516			1.93302
$780$	−7.97819	−	19.3789i	−0.285665	−	0.693874i
$781$			10.9707i			0.392561i
$782$	−0.534025	+	3.43384i	−0.0190967	+	0.122794i
$783$	−16.0230	+	0.0471312i	−0.572614	+	0.00168433i
$784$	21.2051	+	18.2851i	0.757324	+	0.653040i
$785$	−32.5995	+	56.4641i	−1.16353	+	2.01529i
$786$	−4.22857	−	6.97767i	−0.150828	−	0.248885i
$787$	1.43371	+	0.827750i	0.0511061	+	0.0295061i	0.525335	−	0.850895i	$-0.323940\pi$
$787$	1.43371	+	0.827750i	0.0511061	+	0.0295061i	−0.474229	+	0.880401i	$0.657273\pi$
$788$	44.1782	−	9.64901i	1.57378	−	0.343732i
$789$	26.4379	+	9.59325i	0.941213	+	0.341529i
$790$	56.3921	+	8.76999i	2.00634	+	0.312022i
$791$	2.34452	+	0.110817i	0.0833615	+	0.00394020i
$792$	22.0426	−	9.62708i	0.783251	−	0.342083i
$793$	−14.9484	+	25.8914i	−0.530833	+	0.919430i
$794$	−15.7802	+	6.10816i	−0.560019	+	0.216770i
$795$	11.3344	+	63.9140i	0.401990	+	2.26680i
$796$	32.2222	−	29.3411i	1.14208	−	1.03997i
$797$	2.68094	+	4.64353i	0.0949638	+	0.164482i	0.909593	−	0.415499i	$-0.136393\pi$
$797$	2.68094	+	4.64353i	0.0949638	+	0.164482i	−0.814630	+	0.579981i	$0.803060\pi$
$798$	−19.7759	+	32.2844i	−0.700059	+	1.14285i
$799$	1.48065	+	0.854853i	0.0523816	+	0.0302425i
$800$	21.1256	+	5.34504i	0.746902	+	0.188976i
$801$	10.3300	+	28.2093i	0.364994	+	0.996726i
$802$	−10.6347	−	8.56268i	−0.375525	−	0.302359i
$803$	23.9341	−	13.8184i	0.844617	−	0.487640i
$804$	−1.13493	+	1.47250i	−0.0400258	+	0.0519309i
$805$	−2.80189	−	1.79921i	−0.0987538	−	0.0634138i
$806$	8.78177	+	7.07075i	0.309324	+	0.249056i
$807$	36.7194	−	6.51174i	1.29258	−	0.229224i
$808$	12.8777	−	25.8070i	0.453035	−	0.907887i
$809$	−8.73348	−	15.1268i	−0.307053	−	0.531831i	0.670664	−	0.741762i	$-0.266009\pi$
$809$	−8.73348	−	15.1268i	−0.307053	−	0.531831i	−0.977716	+	0.209931i	$0.932676\pi$
$810$	−18.1362	+	33.2435i	−0.637243	+	1.16806i
$811$		−	27.4312i		−	0.963239i	−0.876380	−	0.481619i	$-0.840049\pi$
$811$		−	27.4312i		−	0.963239i	0.876380	−	0.481619i	$-0.159951\pi$
$812$	10.4040	+	12.5699i	0.365111	+	0.441117i
$813$	−17.9890	−	21.3959i	−0.630903	−	0.750386i
$814$	1.32804	+	3.43093i	0.0465476	+	0.120254i
$815$	23.2579	−	40.2839i	0.814690	−	1.41108i
$816$	−22.9100	−	33.0895i	−0.802009	−	1.15836i
$817$	0.698615	−	0.403346i	0.0244414	−	0.0141113i
$818$	−2.05841	−	5.31782i	−0.0719705	−	0.185933i
$819$	−11.8812	−	10.9229i	−0.415162	−	0.381678i
$820$	−36.9999	−	40.6331i	−1.29209	−	1.41897i
$821$	−14.6538	+	8.46040i	−0.511423	+	0.295270i	−0.733418	−	0.679778i	$-0.762076\pi$
$821$	−14.6538	+	8.46040i	−0.511423	+	0.295270i	0.221996	+	0.975048i	$0.428743\pi$
$822$	−35.5507	+	21.5442i	−1.23997	+	0.751441i
$823$	35.0043	+	20.2097i	1.22017	+	0.704466i	0.964954	−	0.262417i	$-0.0845197\pi$
$823$	35.0043	+	20.2097i	1.22017	+	0.704466i	0.255217	+	0.966884i	$0.417853\pi$
$824$	8.07311	−	16.1786i	0.281240	−	0.563609i
$825$	6.45143	−	17.7794i	0.224610	−	0.618998i
$826$	−54.0851	−	11.0488i	−1.88186	−	0.384438i
$827$	33.4117			1.16184			0.580919	−	0.813961i	$-0.302693\pi$
$827$	33.4117			1.16184			0.580919	+	0.813961i	$0.302693\pi$
$828$	−2.24990	−	1.17457i	−0.0781893	−	0.0408192i
$829$	14.5395	+	25.1831i	0.504977	+	0.874645i	0.999983	+	0.00575618i	$0.00183226\pi$
$829$	14.5395	+	25.1831i	0.504977	+	0.874645i	−0.495007	+	0.868889i	$0.664834\pi$
$830$	10.0087	+	25.8571i	0.347407	+	0.897515i
$831$	29.1806	+	10.5885i	1.01226	+	0.367310i
$832$	−6.36594	+	14.9694i	−0.220699	+	0.518970i
$833$	−33.1409	−	23.5628i	−1.14827	−	0.816401i
$834$	11.7026	−	21.3015i	0.405228	−	0.737610i
$835$	−16.9010	−	29.2734i	−0.584883	−	1.01305i
$836$	10.0583	−	31.5558i	0.347873	−	1.09138i
$837$	−0.0599263	−	20.3729i	−0.00207136	−	0.704189i
$838$	−25.8975	−	4.02753i	−0.894613	−	0.139129i
$839$	13.7772	−	23.8628i	0.475642	−	0.823836i	−0.523968	−	0.851738i	$-0.675549\pi$
$839$	13.7772	−	23.8628i	0.475642	−	0.823836i	0.999611	+	0.0279012i	$0.00888238\pi$
$840$	37.8768	−	7.24655i	1.30688	−	0.250030i
$841$	−9.74560	−	16.8799i	−0.336055	−	0.582065i
$842$	−2.10548	−	5.43944i	−0.0725597	−	0.187455i
$843$	−13.7662	−	16.3733i	−0.474133	−	0.563926i
$844$	34.4595	−	31.3783i	1.18614	−	1.08009i
$845$	−13.1886	+	22.8433i	−0.453702	+	0.785835i
$846$	−0.938480	+	0.823681i	−0.0322656	+	0.0283187i
$847$	4.23794	−	6.59972i	0.145617	−	0.226769i
$848$	29.1571	−	41.0905i	1.00126	−	1.41105i
$849$	−8.84790	+	7.43906i	−0.303659	+	0.255308i
$850$	−31.2709	−	4.86320i	−1.07258	−	0.166806i
$851$	0.194099	−	0.336190i	0.00665364	−	0.0115244i
$852$	−1.77849	+	13.2880i	−0.0609301	+	0.455240i
$853$	−10.0503	+	17.4076i	−0.344116	+	0.596026i	−0.985193	−	0.171451i	$-0.945155\pi$
$853$	−10.0503	+	17.4076i	−0.344116	+	0.596026i	0.641077	+	0.767477i	$0.278488\pi$
$854$	−41.1743	−	36.4867i	−1.40895	−	1.24855i
$855$	17.9302	+	48.9638i	0.613200	+	1.67453i
$856$	−6.17704	−	9.33927i	−0.211127	−	0.319210i
$857$		−	36.6877i		−	1.25323i	−0.779330	−	0.626614i	$-0.784440\pi$
$857$		−	36.6877i		−	1.25323i	0.779330	−	0.626614i	$-0.215560\pi$
$858$	12.3742	+	6.79817i	0.422450	+	0.232086i
$859$			16.8251i			0.574066i	0.957921	+	0.287033i	$0.0926689\pi$
$859$			16.8251i			0.574066i	−0.957921	+	0.287033i	$0.907331\pi$
$860$	−0.782883	−	0.249540i	−0.0266961	−	0.00850925i
$861$	−39.0574	−	16.2980i	−1.33107	−	0.555434i
$862$	−35.4818	−	5.51806i	−1.20851	−	0.187946i
$863$	28.9909	+	16.7379i	0.986862	+	0.569765i	0.904335	−	0.426824i	$-0.140368\pi$
$863$	28.9909	+	16.7379i	0.986862	+	0.569765i	0.0825271	+	0.996589i	$0.473701\pi$
$864$	28.2595	−	8.08723i	0.961406	−	0.275133i
$865$	−25.1856	−	43.6228i	−0.856337	−	1.48322i
$866$	−21.5927	+	26.8179i	−0.733751	+	0.911308i
$867$	18.6651	+	22.2000i	0.633902	+	0.753952i
$868$	−15.9824	+	13.2285i	−0.542477	+	0.449006i
$869$	−33.2970	+	19.2240i	−1.12952	+	0.652131i
$870$	22.4681	−	0.477097i	0.761739	−	0.0161751i
$871$	−1.09126			−0.0369758
$872$	−0.0389344	−	0.640083i	−0.00131849	−	0.0216759i
$873$	2.66460	+	7.27650i	0.0901830	+	0.246272i
$874$	−3.25912	+	1.26153i	−0.110241	+	0.0426719i
$875$	−4.88207	+	7.60281i	−0.165044	+	0.257022i
$876$	31.2300	−	12.8572i	1.05516	−	0.434406i
$877$		−	56.1419i		−	1.89578i	−0.318603	−	0.947888i	$-0.603214\pi$
$877$		−	56.1419i		−	1.89578i	0.318603	−	0.947888i	$-0.396786\pi$
$878$	5.96626	−	38.3638i	0.201351	−	1.29471i
$879$	10.1163	−	1.79401i	0.341215	−	0.0605104i
$880$	−30.6638	+	14.0656i	−1.03368	+	0.474153i
$881$		−	41.2240i		−	1.38887i	−0.719554	−	0.694436i	$-0.755654\pi$
$881$		−	41.2240i		−	1.38887i	0.719554	−	0.694436i	$-0.244346\pi$
$882$	24.0691	−	17.3977i	0.810447	−	0.585811i
$883$	40.2056			1.35303			0.676513	−	0.736430i	$-0.263490\pi$
$883$	40.2056			1.35303			0.676513	+	0.736430i	$0.263490\pi$
$884$	7.17432	−	22.5080i	0.241298	−	0.757026i
$885$	−58.1934	+	48.9274i	−1.95615	+	1.64468i
$886$	3.22282	−	20.7231i	0.108273	−	0.696207i
$887$	31.0849			1.04373			0.521864	−	0.853028i	$-0.325237\pi$
$887$	31.0849			1.04373			0.521864	+	0.853028i	$0.325237\pi$
$888$	1.05236	+	4.37095i	0.0353149	+	0.146680i
$889$	−9.59327	−	6.16022i	−0.321748	−	0.206607i
$890$	−15.2096	−	39.2934i	−0.509826	−	1.31712i
$891$	−4.52867	−	25.1072i	−0.151716	−	0.841121i
$892$	1.14774	+	0.365835i	0.0384290	+	0.0122491i
$893$			1.71936i			0.0575363i
$894$	10.6124	+	17.5119i	0.354933	+	0.585684i
$895$	28.1241	+	48.7123i	0.940084	+	1.62827i
$896$	−24.6439	−	16.9906i	−0.823293	−	0.567616i
$897$	−0.260134	−	1.46688i	−0.00868563	−	0.0489778i
$898$	31.1991	+	25.1203i	1.04113	+	0.838277i
$899$	−10.4705	+	6.04512i	−0.349209	+	0.201616i
$900$	10.6965	−	20.4891i	0.356549	−	0.682970i
$901$	−36.5857	+	63.3683i	−1.21885	+	2.11111i
$902$	36.5834	+	5.68938i	1.21809	+	0.189435i
$903$	−0.627595	+	0.0809538i	−0.0208851	+	0.00269397i
$904$	−2.50457	+	0.152346i	−0.0833006	+	0.00506694i
$905$	−57.5391			−1.91266
$906$	−6.14534	−	10.1406i	−0.204165	−	0.336899i
$907$	−14.3027			−0.474914			−0.237457	−	0.971398i	$-0.576314\pi$
$907$	−14.3027			−0.474914			−0.237457	+	0.971398i	$0.576314\pi$
$908$	−22.6918	+	4.95615i	−0.753055	+	0.164476i
$909$	−23.4726	−	19.6176i	−0.778538	−	0.650674i
$910$	16.9414	+	15.0127i	0.561601	+	0.497665i
$911$	19.4525	+	11.2309i	0.644489	+	0.372096i	0.786342	−	0.617792i	$-0.211973\pi$
$911$	19.4525	+	11.2309i	0.644489	+	0.372096i	−0.141853	+	0.989888i	$0.545306\pi$
$912$	17.2985	−	36.5909i	0.572812	−	1.21165i
$913$	−16.1769	−	9.33973i	−0.535377	−	0.309100i
$914$	−1.79256	+	11.5264i	−0.0592926	+	0.381258i
$915$	−74.6064	+	13.2306i	−2.46641	+	0.437389i
$916$	−7.07116	−	32.3754i	−0.233638	−	1.06971i
$917$	7.41546	+	4.76176i	0.244880	+	0.157247i
$918$	−39.7641	+	15.5264i	−1.31241	+	0.512448i
$919$	−43.8105	−	25.2940i	−1.44517	−	0.834372i	−0.446986	−	0.894541i	$-0.647503\pi$
$919$	−43.8105	−	25.2940i	−1.44517	−	0.834372i	−0.998188	+	0.0601694i	$0.980836\pi$
$920$	3.18520	+	1.58941i	0.105013	+	0.0524013i
$921$	5.64006	+	2.04655i	0.185846	+	0.0674362i
$922$	31.7502	−	12.2898i	1.04564	−	0.404742i
$923$	−6.81502	+	3.93465i	−0.224319	+	0.129511i
$924$	−16.8141	+	19.8059i	−0.553142	+	0.651565i
$925$	3.06157	+	1.76760i	0.100664	+	0.0581183i
$926$	53.8929	+	8.38132i	1.77103	+	0.275427i
$927$	−14.7152	−	12.2984i	−0.483310	−	0.403933i
$928$	−12.5059	−	12.1608i	−0.410525	−	0.399198i
$929$	31.7746	−	18.3451i	1.04249	−	0.601882i	0.121953	−	0.992536i	$-0.461084\pi$
$929$	31.7746	−	18.3451i	1.04249	−	0.601882i	0.920538	+	0.390654i	$0.127751\pi$
$930$	0.606619	+	28.5677i	0.0198918	+	0.936772i
$931$	3.85714	−	40.7110i	0.126413	−	1.33425i
$932$	2.84658	+	0.907335i	0.0932430	+	0.0297208i
$933$	−37.8638	−	45.0346i	−1.23961	−	1.47437i
$934$	−0.656492	−	1.69602i	−0.0214811	−	0.0554956i
$935$	42.4298	−	24.4968i	1.38760	−	0.801133i
$936$	13.8860	+	10.2402i	0.453879	+	0.334711i
$937$		−	17.7172i		−	0.578795i	−0.957209	−	0.289397i	$-0.906545\pi$
$937$		−	17.7172i		−	0.578795i	0.957209	−	0.289397i	$-0.0934549\pi$
$938$	0.401920	−	1.96744i	0.0131232	−	0.0642391i
$939$	0.500844	+	2.82423i	0.0163444	+	0.0921654i
$940$	1.29492	−	1.17914i	0.0422356	−	0.0384592i
$941$	−21.4095	+	37.0823i	−0.697930	+	1.20885i	0.271253	+	0.962508i	$0.412562\pi$
$941$	−21.4095	+	37.0823i	−0.697930	+	1.20885i	−0.969183	+	0.246342i	$0.920771\pi$
$942$	−1.13955	−	53.6653i	−0.0371287	−	1.74851i
$943$	−1.95330	−	3.38321i	−0.0636081	−	0.110172i
$944$	58.7556	+	5.51148i	1.91233	+	0.179384i
$945$	1.81100	−	40.8630i	0.0589118	−	1.32927i
$946$	0.516249	−	0.199828i	0.0167847	−	0.00649697i
$947$	−10.3607	−	17.9453i	−0.336679	−	0.583145i	0.647127	−	0.762382i	$-0.275970\pi$
$947$	−10.3607	−	17.9453i	−0.336679	−	0.583145i	−0.983806	+	0.179237i	$0.942637\pi$
$948$	−43.4469	+	17.8869i	−1.41109	+	0.580940i
$949$	17.1681	+	9.91199i	0.557299	+	0.321757i
$950$	−11.4884	−	29.6797i	−0.372731	−	0.962938i
$951$	6.36337	+	35.8827i	0.206347	+	1.16358i
$952$	37.9376	+	21.2246i	1.22956	+	0.687893i
$953$	−46.1492			−1.49492			−0.747460	−	0.664306i	$-0.768727\pi$
$953$	−46.1492			−1.49492			−0.747460	+	0.664306i	$0.768727\pi$
$954$	−35.2516	−	40.1648i	−1.14131	−	1.30038i
$955$	32.3367	−	18.6696i	1.04639	−	0.604133i
$956$	−27.3655	−	30.0526i	−0.885063	−	0.971971i
$957$	−11.5885	+	9.74328i	−0.374603	+	0.314956i
$958$	−26.0719	−	20.9921i	−0.842345	−	0.678224i
$959$	24.2608	−	37.7812i	0.783423	−	1.22002i
$960$	−39.4213	+	12.0658i	−1.27232	+	0.389420i
$961$	7.81375	+	13.5338i	0.252057	+	0.436575i
$962$	−1.65501	+	2.05549i	−0.0533595	+	0.0662718i
$963$	−11.1522	+	4.08386i	−0.359375	+	0.131601i
$964$	50.7894	−	11.0930i	1.63582	−	0.357281i
$965$	6.93300	−	12.0083i	0.223181	−	0.386561i
$966$	2.74047	+	0.0712683i	0.0881732	+	0.00229302i
$967$	41.5324	−	23.9788i	1.33559	−	0.771105i	0.349442	−	0.936958i	$-0.386371\pi$
$967$	41.5324	−	23.9788i	1.33559	−	0.771105i	0.986150	+	0.165853i	$0.0530377\pi$
$968$	−3.74378	+	7.50257i	−0.120330	+	0.241142i
$969$	−20.0494	+	55.2539i	−0.644080	+	1.77501i
$970$	−3.92327	−	10.1356i	−0.125968	−	0.325435i
$971$	36.3000	+	20.9578i	1.16492	+	0.672568i	0.952479	−	0.304605i	$-0.0985244\pi$
$971$	36.3000	+	20.9578i	1.16492	+	0.672568i	0.212444	+	0.977173i	$0.431858\pi$
$972$	−1.41507	−	31.1448i	−0.0453884	−	0.998969i
$973$	−1.23944	+	26.2225i	−0.0397347	+	0.840654i
$974$	30.8570	+	4.79882i	0.988722	+	0.153764i
$975$	13.3584	−	2.36896i	0.427812	−	0.0758674i
$976$	47.9646	+	34.0349i	1.53531	+	1.08943i
$977$	−23.0399	+	39.9062i	−0.737110	+	1.27671i	0.216681	+	0.976243i	$0.430477\pi$
$977$	−23.0399	+	39.9062i	−0.737110	+	1.27671i	−0.953791	+	0.300470i	$0.902856\pi$
$978$	0.813007	+	38.2872i	0.0259971	+	1.22429i
$979$	24.5829	+	14.1930i	0.785674	+	0.453609i
$980$	−33.3062	+	25.0145i	−1.06393	+	0.799059i
$981$	−0.670062	−	0.116796i	−0.0213934	−	0.00372900i
$982$	−8.28200	+	53.2543i	−0.264289	+	1.69941i
$983$	−46.4340			−1.48102			−0.740508	−	0.672048i	$-0.765415\pi$
$983$	−46.4340			−1.48102			−0.740508	+	0.672048i	$0.765415\pi$
$984$	43.3887	+	12.8218i	1.38318	+	0.408745i
$985$			67.2701i			2.14340i
$986$	19.7319	+	15.8874i	0.628392	+	0.505958i
$987$	0.519395	−	1.24471i	0.0165325	−	0.0396194i
$988$	23.2100	−	5.06933i	0.738410	−	0.161277i
$989$	−0.0505861	−	0.0292059i	−0.00160854	−	0.000928694i
$990$	6.99466	+	35.0921i	0.222305	+	1.11530i
$991$	−34.3693	+	19.8431i	−1.09178	+	0.630337i	−0.934049	−	0.357146i	$-0.883750\pi$
$991$	−34.3693	+	19.8431i	−1.09178	+	0.630337i	−0.157727	+	0.987483i	$0.550417\pi$
$992$	15.4622	−	15.9009i	0.490926	−	0.504855i
$993$	−22.6828	+	4.02253i	−0.719818	+	0.127651i
$994$	−4.58380	−	13.7361i	−0.145389	−	0.435681i
$995$	32.4151	+	56.1445i	1.02763	+	1.77990i
$996$	−18.0799	−	13.9351i	−0.572883	−	0.441550i
$997$	19.9218			0.630930			0.315465	−	0.948937i	$-0.397840\pi$
$997$	19.9218			0.630930			0.315465	+	0.948937i	$0.397840\pi$
$998$	14.2772	+	11.4955i	0.451937	+	0.363883i
$999$	4.76855	−	0.0140266i	0.150870	−	0.000443781i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cz.b.187.18	yes	180
7.3	odd	6		504.2.bf.b.115.79	✓	180
8.3	odd	2	inner	504.2.cz.b.187.40	yes	180
9.4	even	3		504.2.bf.b.355.79	yes	180
56.3	even	6		504.2.bf.b.115.80	yes	180
63.31	odd	6	inner	504.2.cz.b.283.40	yes	180
72.67	odd	6		504.2.bf.b.355.80	yes	180
504.283	even	6	inner	504.2.cz.b.283.18	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.79	✓	180	7.3	odd	6
504.2.bf.b.115.80	yes	180	56.3	even	6
504.2.bf.b.355.79	yes	180	9.4	even	3
504.2.bf.b.355.80	yes	180	72.67	odd	6
504.2.cz.b.187.18	yes	180	1.1	even	1	trivial
504.2.cz.b.187.40	yes	180	8.3	odd	2	inner
504.2.cz.b.283.18	yes	180	504.283	even	6	inner
504.2.cz.b.283.40	yes	180	63.31	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.10154 - 0.886915i) q^{2} +(-0.590800 + 1.62818i) q^{3} +(0.426762 + 1.95394i) q^{4} -2.97526 q^{5} +(2.09484 - 1.26950i) q^{6} +(-1.42958 + 2.22627i) q^{7} +(1.26288 - 2.53083i) q^{8} +(-2.30191 - 1.92385i) q^{9} +O(q^{10})\)	\(q+(-1.10154 - 0.886915i) q^{2} +(-0.590800 + 1.62818i) q^{3} +(0.426762 + 1.95394i) q^{4} -2.97526 q^{5} +(2.09484 - 1.26950i) q^{6} +(-1.42958 + 2.22627i) q^{7} +(1.26288 - 2.53083i) q^{8} +(-2.30191 - 1.92385i) q^{9} +(3.27736 + 2.63881i) q^{10} -2.83470 q^{11} +(-3.43349 - 0.459543i) q^{12} +(-1.01667 - 1.76093i) q^{13} +(3.54925 - 1.18440i) q^{14} +(1.75779 - 4.84425i) q^{15} +(-3.63575 + 1.66773i) q^{16} +(5.03081 - 2.90454i) q^{17} +(0.829342 + 4.16079i) q^{18} +(5.05923 + 2.92095i) q^{19} +(-1.26973 - 5.81348i) q^{20} +(-2.78017 - 3.64289i) q^{21} +(3.12253 + 2.51414i) q^{22} -0.423007i q^{23} +(3.37453 + 3.55141i) q^{24} +3.85219 q^{25} +(-0.441893 + 2.84143i) q^{26} +(4.49234 - 2.61130i) q^{27} +(-4.96009 - 1.84322i) q^{28} +(-2.67051 - 1.54182i) q^{29} +(-6.23270 + 3.77711i) q^{30} +(1.96039 - 3.39549i) q^{31} +(5.48405 + 1.38753i) q^{32} +(1.67474 - 4.61539i) q^{33} +(-8.11770 - 1.26245i) q^{34} +(4.25338 - 6.62375i) q^{35} +(2.77672 - 5.31882i) q^{36} +(0.794762 + 0.458856i) q^{37} +(-2.98229 - 7.70464i) q^{38} +(3.46775 - 0.614964i) q^{39} +(-3.75741 + 7.52990i) q^{40} +(7.99800 - 4.61765i) q^{41} +(-0.168480 + 6.47855i) q^{42} +(0.0690436 - 0.119587i) q^{43} +(-1.20974 - 5.53883i) q^{44} +(6.84879 + 5.72397i) q^{45} +(-0.375171 + 0.465957i) q^{46} +(0.147158 + 0.254885i) q^{47} +(-0.567363 - 6.90493i) q^{48} +(-2.91260 - 6.36528i) q^{49} +(-4.24333 - 3.41657i) q^{50} +(1.75690 + 9.90705i) q^{51} +(3.00687 - 2.73801i) q^{52} +(-10.9085 + 6.29802i) q^{53} +(-7.26448 - 1.10788i) q^{54} +8.43398 q^{55} +(3.82894 + 6.42956i) q^{56} +(-7.74481 + 6.51162i) q^{57} +(1.57420 + 4.06688i) q^{58} +(-12.7768 - 7.37669i) q^{59} +(10.2155 + 1.36726i) q^{60} +(-7.35163 - 12.7334i) q^{61} +(-5.17095 + 2.00156i) q^{62} +(7.57379 - 2.37438i) q^{63} +(-4.81025 - 6.39230i) q^{64} +(3.02487 + 5.23923i) q^{65} +(-5.93825 + 3.59866i) q^{66} +(0.268340 - 0.464778i) q^{67} +(7.82225 + 8.59035i) q^{68} +(0.688729 + 0.249913i) q^{69} +(-10.5600 + 3.52391i) q^{70} -3.87013i q^{71} +(-7.77600 + 3.39615i) q^{72} +(-8.44326 + 4.87472i) q^{73} +(-0.468492 - 1.21033i) q^{74} +(-2.27587 + 6.27204i) q^{75} +(-3.54826 + 11.1320i) q^{76} +(4.05243 - 6.31082i) q^{77} +(-4.36527 - 2.39820i) q^{78} +(11.7462 - 6.78168i) q^{79} +(10.8173 - 4.96195i) q^{80} +(1.59758 + 8.85707i) q^{81} +(-12.9055 - 2.00705i) q^{82} +(5.70673 + 3.29478i) q^{83} +(5.93151 - 6.98693i) q^{84} +(-14.9680 + 8.64177i) q^{85} +(-0.182118 + 0.0704935i) q^{86} +(4.08808 - 3.43715i) q^{87} +(-3.57990 + 7.17416i) q^{88} +(-8.67214 - 5.00686i) q^{89} +(-2.46751 - 12.3795i) q^{90} +(5.37373 + 0.253997i) q^{91} +(0.826529 - 0.180523i) q^{92} +(4.37026 + 5.19791i) q^{93} +(0.0639618 - 0.411282i) q^{94} +(-15.0525 - 8.69059i) q^{95} +(-5.49912 + 8.10923i) q^{96} +(-2.23695 - 1.29151i) q^{97} +(-2.43713 + 9.59481i) q^{98} +(6.52523 + 5.45355i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

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