LMFDB - Embedded newform 950.2.h.c.191.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.10
Character	$\chi$	$=$	950.191
Dual form			950.2.h.c.761.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(0.862591 + 2.65478i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.23726 + 1.86257i) q^{5} +(0.862591 - 2.65478i) q^{6} +2.25004 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.87675 + 2.81662i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(0.862591 + 2.65478i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.23726 + 1.86257i) q^{5} +(0.862591 - 2.65478i) q^{6} +2.25004 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.87675 + 2.81662i) q^{9} +(0.0938288 - 2.23410i) q^{10} +(0.0254761 + 0.0185094i) q^{11} +(-2.25829 + 1.64074i) q^{12} +(-4.67919 + 3.39963i) q^{13} +(-1.82032 - 1.32254i) q^{14} +(-3.87748 + 4.89130i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.0990460 - 0.304832i) q^{17} +4.79192 q^{18} +(-0.309017 + 0.951057i) q^{19} +(-1.38908 + 1.75227i) q^{20} +(1.94086 + 5.97337i) q^{21} +(-0.00973099 - 0.0299489i) q^{22} +(0.0332263 + 0.0241403i) q^{23} +2.79140 q^{24} +(-1.93837 + 4.60898i) q^{25} +5.78380 q^{26} +(-4.04669 - 2.94009i) q^{27} +(0.695301 + 2.13992i) q^{28} +(0.178795 + 0.550274i) q^{29} +(6.01198 - 1.67802i) q^{30} +(2.68107 - 8.25150i) q^{31} +1.00000 q^{32} +(-0.0271631 + 0.0835995i) q^{33} +(-0.259306 + 0.188397i) q^{34} +(2.78389 + 4.19087i) q^{35} +(-3.87675 - 2.81662i) q^{36} +(2.24892 - 1.63393i) q^{37} +(0.809017 - 0.587785i) q^{38} +(-13.0615 - 9.48973i) q^{39} +(2.15375 - 0.601138i) q^{40} +(6.27747 - 4.56085i) q^{41} +(1.94086 - 5.97337i) q^{42} -0.572498 q^{43} +(-0.00973099 + 0.0299489i) q^{44} +(-10.0427 - 3.73584i) q^{45} +(-0.0126913 - 0.0390599i) q^{46} +(3.36906 + 10.3689i) q^{47} +(-2.25829 - 1.64074i) q^{48} -1.93731 q^{49} +(4.27727 - 2.58940i) q^{50} +0.894699 q^{51} +(-4.67919 - 3.39963i) q^{52} +(0.213136 + 0.655966i) q^{53} +(1.54570 + 4.75717i) q^{54} +(-0.00295468 + 0.0703521i) q^{55} +(0.695301 - 2.13992i) q^{56} -2.79140 q^{57} +(0.178795 - 0.550274i) q^{58} +(-8.25297 + 5.99614i) q^{59} +(-5.85011 - 2.17621i) q^{60} +(3.76895 + 2.73830i) q^{61} +(-7.01915 + 5.09971i) q^{62} +(-8.72285 + 6.33752i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-12.1214 - 4.50911i) q^{65} +(0.0711140 - 0.0516673i) q^{66} +(3.82318 - 11.7665i) q^{67} +0.320520 q^{68} +(-0.0354266 + 0.109032i) q^{69} +(0.211119 - 5.02681i) q^{70} +(-0.00173987 - 0.00535478i) q^{71} +(1.48079 + 4.55739i) q^{72} +(6.15962 + 4.47523i) q^{73} -2.77982 q^{74} +(-13.9079 - 1.17028i) q^{75} -1.00000 q^{76} +(0.0573222 + 0.0416470i) q^{77} +(4.98905 + 15.3547i) q^{78} +(-3.63717 - 11.1940i) q^{79} +(-2.09576 - 0.779611i) q^{80} +(-0.127695 + 0.393005i) q^{81} -7.75938 q^{82} +(-2.30795 + 7.10313i) q^{83} +(-5.08125 + 3.69174i) q^{84} +(0.690319 - 0.192677i) q^{85} +(0.463161 + 0.336506i) q^{86} +(-1.30663 + 0.949322i) q^{87} +(0.0254761 - 0.0185094i) q^{88} +(-3.25597 - 2.36560i) q^{89} +(5.92886 + 8.92532i) q^{90} +(-10.5284 + 7.64931i) q^{91} +(-0.0126913 + 0.0390599i) q^{92} +24.2186 q^{93} +(3.36906 - 10.3689i) q^{94} +(-2.15375 + 0.601138i) q^{95} +(0.862591 + 2.65478i) q^{96} +(-1.85662 - 5.71408i) q^{97} +(1.56732 + 1.13872i) q^{98} -0.150898 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) $ 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$

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 $

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	0.862591	+	2.65478i	0.498017	+	1.53274i	0.812202	+	0.583377i	$0.198269\pi$
$3$	0.862591	+	2.65478i	0.498017	+	1.53274i	−0.314185	+	0.949362i	$0.601731\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.23726	+	1.86257i	0.553320	+	0.832969i
$5$	1.23726	+	1.86257i	0.553320	+	0.832969i
$6$	0.862591	−	2.65478i	0.352151	−	1.08381i
$7$	2.25004			0.850436			0.425218	−	0.905091i	$-0.360197\pi$
$7$	2.25004			0.850436			0.425218	+	0.905091i	$0.360197\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−3.87675	+	2.81662i	−1.29225	+	0.938874i
$10$	0.0938288	−	2.23410i	0.0296713	−	0.706484i
$11$	0.0254761	+	0.0185094i	0.00768132	+	0.00558081i	0.591619	−	0.806217i	$-0.298489\pi$
$11$	0.0254761	+	0.0185094i	0.00768132	+	0.00558081i	−0.583938	+	0.811798i	$0.698489\pi$
$12$	−2.25829	+	1.64074i	−0.651913	+	0.473642i
$13$	−4.67919	+	3.39963i	−1.29777	+	0.942888i	−0.999931	−	0.0117272i	$-0.996267\pi$
$13$	−4.67919	+	3.39963i	−1.29777	+	0.942888i	−0.297842	+	0.954615i	$0.596267\pi$
$14$	−1.82032	−	1.32254i	−0.486502	−	0.353464i
$15$	−3.87748	+	4.89130i	−1.00116	+	1.26293i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	0.0990460	−	0.304832i	0.0240222	−	0.0739327i	−0.938327	−	0.345750i	$-0.887625\pi$
$17$	0.0990460	−	0.304832i	0.0240222	−	0.0739327i	0.962349	+	0.271817i	$0.0876246\pi$
$18$	4.79192			1.12947
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$20$	−1.38908	+	1.75227i	−0.310608	+	0.391820i
$21$	1.94086	+	5.97337i	0.423531	+	1.30350i
$22$	−0.00973099	−	0.0299489i	−0.00207465	−	0.00638513i
$23$	0.0332263	+	0.0241403i	0.00692817	+	0.00503361i	0.591244	−	0.806493i	$-0.298637\pi$
$23$	0.0332263	+	0.0241403i	0.00692817	+	0.00503361i	−0.584316	+	0.811526i	$0.698637\pi$
$24$	2.79140			0.569793
$25$	−1.93837	+	4.60898i	−0.387674	+	0.921797i
$26$	5.78380			1.13430
$27$	−4.04669	−	2.94009i	−0.778786	−	0.565821i
$28$	0.695301	+	2.13992i	0.131400	+	0.404406i
$29$	0.178795	+	0.550274i	0.0332014	+	0.102183i	0.966284	−	0.257479i	$-0.0828919\pi$
$29$	0.178795	+	0.550274i	0.0332014	+	0.102183i	−0.933082	+	0.359662i	$0.882892\pi$
$30$	6.01198	−	1.67802i	1.09763	−	0.306363i
$31$	2.68107	−	8.25150i	0.481535	−	1.48201i	−0.355402	−	0.934714i	$-0.615656\pi$
$31$	2.68107	−	8.25150i	0.481535	−	1.48201i	0.836937	−	0.547299i	$-0.184344\pi$
$32$	1.00000			0.176777
$33$	−0.0271631	+	0.0835995i	−0.00472849	+	0.0145528i
$34$	−0.259306	+	0.188397i	−0.0444706	+	0.0323098i
$35$	2.78389	+	4.19087i	0.470563	+	0.708386i
$36$	−3.87675	−	2.81662i	−0.646125	−	0.469437i
$37$	2.24892	−	1.63393i	0.369720	−	0.268617i	−0.387375	−	0.921922i	$-0.626618\pi$
$37$	2.24892	−	1.63393i	0.369720	−	0.268617i	0.757095	+	0.653305i	$0.226618\pi$
$38$	0.809017	−	0.587785i	0.131240	−	0.0953514i
$39$	−13.0615	−	9.48973i	−2.09151	−	1.51957i
$40$	2.15375	−	0.601138i	0.340538	−	0.0950482i
$41$	6.27747	−	4.56085i	0.980376	−	0.712285i	0.0225831	−	0.999745i	$-0.492811\pi$
$41$	6.27747	−	4.56085i	0.980376	−	0.712285i	0.957793	+	0.287460i	$0.0928110\pi$
$42$	1.94086	−	5.97337i	0.299482	−	0.921711i
$43$	−0.572498			−0.0873052			−0.0436526	−	0.999047i	$-0.513899\pi$
$43$	−0.572498			−0.0873052			−0.0436526	+	0.999047i	$0.513899\pi$
$44$	−0.00973099	+	0.0299489i	−0.00146700	+	0.00451497i
$45$	−10.0427	−	3.73584i	−1.49708	−	0.556906i
$46$	−0.0126913	−	0.0390599i	−0.00187123	−	0.00575906i
$47$	3.36906	+	10.3689i	0.491428	+	1.51246i	0.822450	+	0.568837i	$0.192607\pi$
$47$	3.36906	+	10.3689i	0.491428	+	1.51246i	−0.331022	+	0.943623i	$0.607393\pi$
$48$	−2.25829	−	1.64074i	−0.325956	−	0.236821i
$49$	−1.93731			−0.276759
$50$	4.27727	−	2.58940i	0.604897	−	0.366196i
$51$	0.894699			0.125283
$52$	−4.67919	−	3.39963i	−0.648887	−	0.471444i
$53$	0.213136	+	0.655966i	0.0292765	+	0.0901038i	0.964627	−	0.263618i	$-0.0849159\pi$
$53$	0.213136	+	0.655966i	0.0292765	+	0.0901038i	−0.935351	+	0.353722i	$0.884916\pi$
$54$	1.54570	+	4.75717i	0.210343	+	0.647369i
$55$	−0.00295468	+	0.0703521i	−0.000398410	+	0.00948628i
$56$	0.695301	−	2.13992i	0.0929135	−	0.285958i
$57$	−2.79140			−0.369730
$58$	0.178795	−	0.550274i	0.0234769	−	0.0722545i
$59$	−8.25297	+	5.99614i	−1.07445	+	0.780631i	−0.976706	−	0.214581i	$-0.931161\pi$
$59$	−8.25297	+	5.99614i	−1.07445	+	0.780631i	−0.0977397	+	0.995212i	$0.531161\pi$
$60$	−5.85011	−	2.17621i	−0.755245	−	0.280947i
$61$	3.76895	+	2.73830i	0.482565	+	0.350604i	0.802318	−	0.596897i	$-0.203600\pi$
$61$	3.76895	+	2.73830i	0.482565	+	0.350604i	−0.319753	+	0.947501i	$0.603600\pi$
$62$	−7.01915	+	5.09971i	−0.891432	+	0.647664i
$63$	−8.72285	+	6.33752i	−1.09898	+	0.798452i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−12.1214	−	4.50911i	−1.50348	−	0.559286i
$66$	0.0711140	−	0.0516673i	0.00875352	−	0.00635981i
$67$	3.82318	−	11.7665i	0.467076	−	1.43751i	−0.389277	−	0.921121i	$-0.627275\pi$
$67$	3.82318	−	11.7665i	0.467076	−	1.43751i	0.856353	−	0.516391i	$-0.172725\pi$
$68$	0.320520			0.0388687
$69$	−0.0354266	+	0.109032i	−0.00426486	+	0.0131259i
$70$	0.211119	−	5.02681i	0.0252335	−	0.600819i
$71$	−0.00173987	−	0.00535478i	−0.000206485	−	0.000635496i	0.950953	−	0.309335i	$-0.100106\pi$
$71$	−0.00173987	−	0.00535478i	−0.000206485	−	0.000635496i	−0.951160	+	0.308699i	$0.900106\pi$
$72$	1.48079	+	4.55739i	0.174512	+	0.537094i
$73$	6.15962	+	4.47523i	0.720929	+	0.523786i	0.886681	−	0.462382i	$-0.153005\pi$
$73$	6.15962	+	4.47523i	0.720929	+	0.523786i	−0.165752	+	0.986168i	$0.553005\pi$
$74$	−2.77982			−0.323147
$75$	−13.9079	−	1.17028i	−1.60594	−	0.135133i
$76$	−1.00000			−0.114708
$77$	0.0573222	+	0.0416470i	0.00653247	+	0.00474612i
$78$	4.98905	+	15.3547i	0.564899	+	1.73858i
$79$	−3.63717	−	11.1940i	−0.409213	−	1.25943i	−0.917326	−	0.398138i	$-0.869657\pi$
$79$	−3.63717	−	11.1940i	−0.409213	−	1.25943i	0.508113	−	0.861291i	$-0.330343\pi$
$80$	−2.09576	−	0.779611i	−0.234313	−	0.0871631i
$81$	−0.127695	+	0.393005i	−0.0141884	+	0.0436673i
$82$	−7.75938			−0.856880
$83$	−2.30795	+	7.10313i	−0.253330	+	0.779670i	0.740824	+	0.671699i	$0.234435\pi$
$83$	−2.30795	+	7.10313i	−0.253330	+	0.779670i	−0.994154	+	0.107971i	$0.965565\pi$
$84$	−5.08125	+	3.69174i	−0.554410	+	0.402802i
$85$	0.690319	−	0.192677i	0.0748756	−	0.0208987i
$86$	0.463161	+	0.336506i	0.0499439	+	0.0362864i
$87$	−1.30663	+	0.949322i	−0.140085	+	0.101778i
$88$	0.0254761	−	0.0185094i	0.00271576	−	0.00197311i
$89$	−3.25597	−	2.36560i	−0.345132	−	0.250753i	0.401692	−	0.915775i	$-0.368422\pi$
$89$	−3.25597	−	2.36560i	−0.345132	−	0.250753i	−0.746824	+	0.665022i	$0.768422\pi$
$90$	5.92886	+	8.92532i	0.624957	+	0.940811i
$91$	−10.5284	+	7.64931i	−1.10367	+	0.801866i
$92$	−0.0126913	+	0.0390599i	−0.00132316	+	0.00407227i
$93$	24.2186			2.51135
$94$	3.36906	−	10.3689i	0.347492	−	1.06947i
$95$	−2.15375	+	0.601138i	−0.220970	+	0.0616754i
$96$	0.862591	+	2.65478i	0.0880378	+	0.270952i
$97$	−1.85662	−	5.71408i	−0.188511	−	0.580177i	0.811480	−	0.584380i	$-0.198662\pi$
$97$	−1.85662	−	5.71408i	−0.188511	−	0.580177i	−0.999991	+	0.00420309i	$0.998662\pi$
$98$	1.56732	+	1.13872i	0.158323	+	0.115028i
$99$	−0.150898			−0.0151659
$100$	−4.98239	−	0.419246i	−0.498239	−	0.0419246i
$101$	−2.72960			−0.271606			−0.135803	−	0.990736i	$-0.543361\pi$
$101$	−2.72960			−0.271606			−0.135803	+	0.990736i	$0.543361\pi$
$102$	−0.723827	−	0.525891i	−0.0716695	−	0.0520710i
$103$	1.04787	+	3.22501i	0.103249	+	0.317769i	0.989316	−	0.145790i	$-0.0465723\pi$
$103$	1.04787	+	3.22501i	0.103249	+	0.317769i	−0.886066	+	0.463559i	$0.846572\pi$
$104$	1.78729	+	5.50072i	0.175258	+	0.539390i
$105$	−8.72449	+	11.0056i	−0.851423	+	1.07404i
$106$	0.213136	−	0.655966i	0.0207016	−	0.0637130i
$107$	9.00970			0.871000			0.435500	−	0.900189i	$-0.356572\pi$
$107$	9.00970			0.871000			0.435500	+	0.900189i	$0.356572\pi$
$108$	1.54570	−	4.75717i	0.148735	−	0.457759i
$109$	−4.03069	+	2.92847i	−0.386070	+	0.280496i	−0.763843	−	0.645402i	$-0.776690\pi$
$109$	−4.03069	+	2.92847i	−0.386070	+	0.280496i	0.377773	+	0.925898i	$0.376690\pi$
$110$	0.0437423	−	0.0551793i	0.00417067	−	0.00526114i
$111$	6.27764	+	4.56097i	0.595847	+	0.432908i
$112$	−1.82032	+	1.32254i	−0.172004	+	0.124968i
$113$	9.44050	−	6.85893i	0.888088	−	0.645233i	−0.0472911	−	0.998881i	$-0.515059\pi$
$113$	9.44050	−	6.85893i	0.888088	−	0.645233i	0.935379	+	0.353648i	$0.115059\pi$
$114$	2.25829	+	1.64074i	0.211508	+	0.153670i
$115$	−0.00385355	+	0.0917544i	−0.000359345	+	0.00855614i
$116$	−0.468091	+	0.340088i	−0.0434612	+	0.0315764i
$117$	8.56457	−	26.3590i	0.791794	−	2.43689i
$118$	10.2012			0.939100
$119$	0.222858	−	0.685886i	0.0204293	−	0.0628750i
$120$	3.45369	+	5.19920i	0.315278	+	0.474619i
$121$	−3.39888	−	10.4607i	−0.308989	−	0.950971i
$122$	−1.43961	−	4.43067i	−0.130336	−	0.401134i
$123$	17.5229	+	12.7312i	1.57999	+	1.14793i
$124$	8.67614			0.779140
$125$	−10.9828	+	2.09216i	−0.982336	+	0.187128i
$126$	10.7820			0.960540
$127$	15.7956	+	11.4762i	1.40164	+	1.01835i	0.994473	+	0.104992i	$0.0334818\pi$
$127$	15.7956	+	11.4762i	1.40164	+	1.01835i	0.407163	+	0.913356i	$0.366518\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−0.493832	−	1.51986i	−0.0434795	−	0.133816i
$130$	7.15607	+	10.7728i	0.627629	+	0.944833i
$131$	−4.45960	+	13.7252i	−0.389637	+	1.19918i	0.543423	+	0.839459i	$0.317128\pi$
$131$	−4.45960	+	13.7252i	−0.389637	+	1.19918i	−0.933060	+	0.359721i	$0.882872\pi$
$132$	−0.0879017			−0.00765086
$133$	−0.695301	+	2.13992i	−0.0602903	+	0.185554i
$134$	−10.0092	+	7.27212i	−0.864665	+	0.628216i
$135$	0.469330	−	11.1749i	0.0403935	−	0.961784i
$136$	−0.259306	−	0.188397i	−0.0222353	−	0.0161549i
$137$	5.53601	−	4.02215i	0.472974	−	0.343635i	−0.325625	−	0.945499i	$-0.605575\pi$
$137$	5.53601	−	4.02215i	0.472974	−	0.343635i	0.798599	+	0.601863i	$0.205575\pi$
$138$	0.0927480	−	0.0673854i	0.00789523	−	0.00573622i
$139$	0.475575	+	0.345526i	0.0403378	+	0.0293071i	0.607771	−	0.794112i	$-0.292064\pi$
$139$	0.475575	+	0.345526i	0.0403378	+	0.0293071i	−0.567434	+	0.823419i	$0.692064\pi$
$140$	−3.12549	+	3.94269i	−0.264152	+	0.333218i
$141$	−24.6211	+	17.8882i	−2.07347	+	1.50646i
$142$	−0.00173987	+	0.00535478i	−0.000146007	+	0.000449363i
$143$	−0.182133			−0.0152307
$144$	1.48079	−	4.55739i	0.123399	−	0.379783i
$145$	−0.803710	+	1.01385i	−0.0667445	+	0.0841958i
$146$	−2.35277	−	7.24107i	−0.194716	−	0.599275i
$147$	−1.67111	−	5.14314i	−0.137831	−	0.424199i
$148$	2.24892	+	1.63393i	0.184860	+	0.134309i
$149$	20.6059			1.68810			0.844049	−	0.536265i	$-0.180165\pi$
$149$	20.6059			1.68810			0.844049	+	0.536265i	$0.180165\pi$
$150$	10.5638	+	9.12161i	0.862532	+	0.744777i
$151$	−9.80470			−0.797895			−0.398948	−	0.916974i	$-0.630624\pi$
$151$	−9.80470			−0.797895			−0.398948	+	0.916974i	$0.630624\pi$
$152$	0.809017	+	0.587785i	0.0656199	+	0.0476757i
$153$	0.474621	+	1.46073i	0.0383708	+	0.118093i
$154$	−0.0218951	−	0.0673863i	−0.00176436	−	0.00543014i
$155$	18.6862	−	5.21556i	1.50091	−	0.418924i
$156$	4.98905	−	15.3547i	0.399444	−	1.22936i
$157$	−12.7422			−1.01694			−0.508470	−	0.861080i	$-0.669789\pi$
$157$	−12.7422			−1.01694			−0.508470	+	0.861080i	$0.669789\pi$
$158$	−3.63717	+	11.1940i	−0.289357	+	0.890550i
$159$	−1.55760	+	1.13166i	−0.123525	+	0.0897465i
$160$	1.23726	+	1.86257i	0.0978141	+	0.147249i
$161$	0.0747606	+	0.0543167i	0.00589196	+	0.00428076i
$162$	0.334310	−	0.242891i	0.0262659	−	0.0190833i
$163$	11.6812	−	8.48691i	0.914944	−	0.664746i	−0.0273161	−	0.999627i	$-0.508696\pi$
$163$	11.6812	−	8.48691i	0.914944	−	0.664746i	0.942260	+	0.334881i	$0.108696\pi$
$164$	6.27747	+	4.56085i	0.490188	+	0.356142i
$165$	−0.189318	+	0.0528410i	−0.0147384	+	0.00411367i
$166$	6.04229	−	4.38998i	0.468972	−	0.340728i
$167$	−3.55474	+	10.9404i	−0.275074	+	0.846590i	0.714126	+	0.700017i	$0.246824\pi$
$167$	−3.55474	+	10.9404i	−0.275074	+	0.846590i	−0.989200	+	0.146573i	$0.953176\pi$
$168$	6.28077			0.484572
$169$	6.32011	−	19.4513i	0.486162	−	1.49625i
$170$	−0.671732	−	0.249881i	−0.0515195	−	0.0191650i
$171$	−1.48079	−	4.55739i	−0.113239	−	0.348512i
$172$	−0.176912	−	0.544478i	−0.0134894	−	0.0415161i
$173$	−10.5115	−	7.63707i	−0.799176	−	0.580635i	0.111496	−	0.993765i	$-0.464436\pi$
$173$	−10.5115	−	7.63707i	−0.799176	−	0.580635i	−0.910672	+	0.413130i	$0.864436\pi$
$174$	1.61508			0.122439
$175$	−4.36141	+	10.3704i	−0.329692	+	0.783929i
$176$	−0.0314902			−0.00237366
$177$	−23.0374	−	16.7376i	−1.73159	−	1.25808i
$178$	1.24367	+	3.82762i	0.0932169	+	0.286892i
$179$	7.42731	+	22.8589i	0.555143	+	1.70856i	0.695565	+	0.718464i	$0.255154\pi$
$179$	7.42731	+	22.8589i	0.555143	+	1.70856i	−0.140421	+	0.990092i	$0.544846\pi$
$180$	0.449621	−	10.7056i	0.0335127	−	0.797951i
$181$	4.83917	−	14.8934i	0.359693	−	1.10702i	−0.593546	−	0.804800i	$-0.702272\pi$
$181$	4.83917	−	14.8934i	0.359693	−	1.10702i	0.953238	−	0.302220i	$-0.0977276\pi$
$182$	13.0138			0.964646
$183$	−4.01854	+	12.3678i	−0.297059	+	0.914253i
$184$	0.0332263	−	0.0241403i	0.00244948	−	0.00177965i
$185$	5.82583	+	2.16718i	0.428323	+	0.159334i
$186$	−19.5933	−	14.2353i	−1.43665	−	1.04379i
$187$	0.00816558	−	0.00593264i	0.000597127	−	0.000433838i
$188$	−8.82032	+	6.40834i	−0.643288	+	0.467376i
$189$	−9.10522	−	6.61533i	−0.662307	−	0.481194i
$190$	2.09576	+	0.779611i	0.152042	+	0.0565589i
$191$	6.91776	−	5.02605i	0.500552	−	0.363672i	−0.308676	−	0.951167i	$-0.599886\pi$
$191$	6.91776	−	5.02605i	0.500552	−	0.363672i	0.809228	+	0.587495i	$0.199886\pi$
$192$	0.862591	−	2.65478i	0.0622521	−	0.191592i
$193$	24.2857			1.74812			0.874060	−	0.485818i	$-0.161478\pi$
$193$	24.2857			1.74812			0.874060	+	0.485818i	$0.161478\pi$
$194$	−1.85662	+	5.71408i	−0.133297	+	0.410247i
$195$	1.51486	−	36.0693i	0.108481	−	2.58298i
$196$	−0.598662	−	1.84249i	−0.0427616	−	0.131607i
$197$	5.29769	+	16.3046i	0.377445	+	1.16166i	0.941814	+	0.336134i	$0.109119\pi$
$197$	5.29769	+	16.3046i	0.377445	+	1.16166i	−0.564369	+	0.825523i	$0.690881\pi$
$198$	0.122079	+	0.0886959i	0.00867581	+	0.00630334i
$199$	−8.57909			−0.608156			−0.304078	−	0.952647i	$-0.598348\pi$
$199$	−8.57909			−0.608156			−0.304078	+	0.952647i	$0.598348\pi$
$200$	3.78441	+	3.26775i	0.267598	+	0.231065i
$201$	34.5354			2.43594
$202$	2.20830	+	1.60442i	0.155375	+	0.112887i
$203$	0.402296	+	1.23814i	0.0282356	+	0.0869003i
$204$	0.276477	+	0.850910i	0.0193573	+	0.0595756i
$205$	16.2618	+	6.04929i	1.13577	+	0.422501i
$206$	1.04787	−	3.22501i	0.0730084	−	0.224697i
$207$	−0.196804			−0.0136788
$208$	1.78729	−	5.50072i	0.123926	−	0.381406i
$209$	−0.0254761	+	0.0185094i	−0.00176222	+	0.00128033i
$210$	13.5272	−	3.77561i	0.933466	−	0.260542i
$211$	−9.45226	−	6.86747i	−0.650720	−	0.472776i	0.212796	−	0.977097i	$-0.431743\pi$
$211$	−9.45226	−	6.86747i	−0.650720	−	0.472776i	−0.863516	+	0.504321i	$0.831743\pi$
$212$	−0.557998	+	0.405409i	−0.0383234	+	0.0278436i
$213$	0.0127150	−	0.00923797i	0.000871216	−	0.000632975i
$214$	−7.28900	−	5.29577i	−0.498266	−	0.362011i
$215$	−0.708330	−	1.06632i	−0.0483077	−	0.0727225i
$216$	−4.04669	+	2.94009i	−0.275342	+	0.200048i
$217$	6.03253	−	18.5662i	0.409515	−	1.26036i
$218$	4.98221			0.337438
$219$	−6.56752	+	20.2127i	−0.443792	+	1.36585i
$220$	−0.0678219	+	0.0189299i	−0.00457255	+	0.00127626i
$221$	0.572862	+	1.76309i	0.0385349	+	0.118598i
$222$	−2.39784	−	7.37980i	−0.160933	−	0.495300i
$223$	−16.1339	−	11.7220i	−1.08041	−	0.784961i	−0.102653	−	0.994717i	$-0.532733\pi$
$223$	−16.1339	−	11.7220i	−1.08041	−	0.784961i	−0.977754	+	0.209756i	$0.932733\pi$
$224$	2.25004			0.150337
$225$	−5.46719	−	23.3275i	−0.364479	−	1.55517i
$226$	−11.6691			−0.776217
$227$	17.6856	+	12.8494i	1.17384	+	0.852843i	0.991463	−	0.130386i	$-0.0416218\pi$
$227$	17.6856	+	12.8494i	1.17384	+	0.852843i	0.182374	+	0.983229i	$0.441622\pi$
$228$	−0.862591	−	2.65478i	−0.0571265	−	0.175817i
$229$	−5.10915	−	15.7244i	−0.337622	−	1.03909i	−0.965416	−	0.260715i	$-0.916042\pi$
$229$	−5.10915	−	15.7244i	−0.337622	−	1.03909i	0.627793	−	0.778380i	$-0.283958\pi$
$230$	0.0570495	−	0.0719658i	0.00376173	−	0.00474528i
$231$	−0.0611181	+	0.188102i	−0.00402128	+	0.0123762i
$232$	0.578592			0.0379864
$233$	0.867899	−	2.67112i	0.0568579	−	0.174991i	−0.918594	−	0.395202i	$-0.870675\pi$
$233$	0.867899	−	2.67112i	0.0568579	−	0.174991i	0.975452	+	0.220211i	$0.0706746\pi$
$234$	−22.4223	+	16.2908i	−1.46579	+	1.06496i
$235$	−15.1445	+	19.1042i	−0.987915	+	1.24622i
$236$	−8.25297	−	5.99614i	−0.537223	−	0.390315i
$237$	26.5803	−	19.3118i	1.72658	−	1.25443i
$238$	−0.583449	+	0.423901i	−0.0378194	+	0.0274774i
$239$	12.9268	+	9.39186i	0.836164	+	0.607509i	0.921297	−	0.388861i	$-0.127131\pi$
$239$	12.9268	+	9.39186i	0.836164	+	0.607509i	−0.0851323	+	0.996370i	$0.527131\pi$
$240$	0.261914	−	6.23627i	0.0169065	−	0.402549i
$241$	−9.67701	+	7.03076i	−0.623351	+	0.452891i	−0.854090	−	0.520125i	$-0.825886\pi$
$241$	−9.67701	+	7.03076i	−0.623351	+	0.452891i	0.230739	+	0.973016i	$0.425886\pi$
$242$	−3.39888	+	10.4607i	−0.218488	+	0.672438i
$243$	−16.1594			−1.03663
$244$	−1.43961	+	4.43067i	−0.0921617	+	0.283645i
$245$	−2.39696	−	3.60839i	−0.153136	−	0.230532i
$246$	−6.69316	−	20.5994i	−0.426741	−	1.31337i
$247$	−1.78729	−	5.50072i	−0.113723	−	0.350002i
$248$	−7.01915	−	5.09971i	−0.445716	−	0.323832i
$249$	−20.8481			−1.32119
$250$	10.1150	+	4.76297i	0.639732	+	0.301236i
$251$	−10.8118			−0.682435			−0.341218	−	0.939984i	$-0.610839\pi$
$251$	−10.8118			−0.682435			−0.341218	+	0.939984i	$0.610839\pi$
$252$	−8.72285	−	6.33752i	−0.549488	−	0.399226i
$253$	0.000399652		0.00123000i	2.51259e−5		7.73295e-5i
$254$	−6.03339	−	18.5689i	−0.378569	−	1.16512i
$255$	1.10698	+	1.66644i	0.0693216	+	0.104357i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−9.53550			−0.594808			−0.297404	−	0.954752i	$-0.596121\pi$
$257$	−9.53550			−0.594808			−0.297404	+	0.954752i	$0.596121\pi$
$258$	−0.493832	+	1.51986i	−0.0307446	+	0.0946222i
$259$	5.06016	−	3.67642i	0.314423	−	0.228442i
$260$	0.542687	−	12.9216i	0.0336560	−	0.801362i
$261$	−2.24306	−	1.62968i	−0.138842	−	0.100874i
$262$	11.6754	−	8.48267i	0.721308	−	0.524061i
$263$	15.9384	−	11.5799i	0.982804	−	0.714049i	0.0244702	−	0.999701i	$-0.492210\pi$
$263$	15.9384	−	11.5799i	0.982804	−	0.714049i	0.958333	+	0.285652i	$0.0922101\pi$
$264$	0.0711140	+	0.0516673i	0.00437676	+	0.00317990i
$265$	−0.958080	+	1.20858i	−0.0588544	+	0.0742427i
$266$	1.82032	−	1.32254i	0.111611	−	0.0810902i
$267$	3.47158	−	10.6844i	0.212457	−	0.653876i
$268$	12.3721			0.755745
$269$	4.25413	−	13.0929i	0.259379	−	0.798286i	−0.733556	−	0.679629i	$-0.762141\pi$
$269$	4.25413	−	13.0929i	0.259379	−	0.798286i	0.992935	−	0.118657i	$-0.0378590\pi$
$270$	−6.94815	+	8.76484i	−0.422851	+	0.533411i
$271$	0.301268	+	0.927209i	0.0183008	+	0.0563239i	0.959790	−	0.280720i	$-0.0905731\pi$
$271$	0.301268	+	0.927209i	0.0183008	+	0.0563239i	−0.941489	+	0.337043i	$0.890573\pi$
$272$	0.0990460	+	0.304832i	0.00600555	+	0.0184832i
$273$	−29.3889	−	21.3523i	−1.77870	−	1.29230i
$274$	−6.84289			−0.413394
$275$	−0.134692	+	0.0815406i	−0.00812222	+	0.00491708i
$276$	−0.114643			−0.00690069
$277$	−2.42503	−	1.76189i	−0.145706	−	0.105862i	0.512544	−	0.858661i	$-0.328703\pi$
$277$	−2.42503	−	1.76189i	−0.145706	−	0.105862i	−0.658250	+	0.752799i	$0.728703\pi$
$278$	−0.181654	−	0.559072i	−0.0108949	−	0.0335309i
$279$	12.8475	+	39.5406i	0.769160	+	2.36723i
$280$	4.84602	−	1.35259i	0.289605	−	0.0808324i
$281$	0.203996	−	0.627835i	0.0121694	−	0.0374535i	−0.944787	−	0.327684i	$-0.893732\pi$
$281$	0.203996	−	0.627835i	0.0121694	−	0.0374535i	0.956957	+	0.290230i	$0.0937319\pi$
$282$	30.4333			1.81228
$283$	−9.05829	+	27.8786i	−0.538460	+	1.65721i	0.197593	+	0.980284i	$0.436687\pi$
$283$	−9.05829	+	27.8786i	−0.538460	+	1.65721i	−0.736053	+	0.676924i	$0.763313\pi$
$284$	0.00455505	−	0.00330944i	0.000270292	−	0.000196379i
$285$	−3.45369	−	5.19920i	−0.204579	−	0.307974i
$286$	0.147348	+	0.107055i	0.00871289	+	0.00633029i
$287$	14.1246	−	10.2621i	0.833747	−	0.605752i
$288$	−3.87675	+	2.81662i	−0.228440	+	0.165971i
$289$	13.6702	+	9.93196i	0.804128	+	0.584233i
$290$	1.24614	−	0.347814i	0.0731760	−	0.0204243i
$291$	13.5681	−	9.85782i	0.795377	−	0.577876i
$292$	−2.35277	+	7.24107i	−0.137685	+	0.423752i
$293$	26.5704			1.55226			0.776129	−	0.630574i	$-0.217180\pi$
$293$	26.5704			1.55226			0.776129	+	0.630574i	$0.217180\pi$
$294$	−1.67111	+	5.14314i	−0.0974610	+	0.299954i
$295$	−21.3793	−	7.95300i	−1.24475	−	0.463041i
$296$	−0.859010	−	2.64376i	−0.0499290	−	0.153666i
$297$	−0.0486743	−	0.149804i	−0.00282437	−	0.00869251i
$298$	−16.6705	−	12.1118i	−0.965696	−	0.701619i
$299$	−0.237540			−0.0137373
$300$	−3.18476	−	13.5888i	−0.183872	−	0.784550i
$301$	−1.28815			−0.0742475
$302$	7.93217	+	5.76306i	0.456445	+	0.331627i
$303$	−2.35453	−	7.24650i	−0.135264	−	0.416301i
$304$	−0.309017	−	0.951057i	−0.0177233	−	0.0545468i
$305$	−0.437119	+	10.4080i	−0.0250293	+	0.595958i
$306$	0.474621	−	1.46073i	0.0271323	−	0.0835046i
$307$	23.3540			1.33289			0.666443	−	0.745556i	$-0.267816\pi$
$307$	23.3540			1.33289			0.666443	+	0.745556i	$0.267816\pi$
$308$	−0.0218951	+	0.0673863i	−0.00124759	+	0.00383969i
$309$	−7.65780	+	5.56372i	−0.435637	+	0.316509i
$310$	−18.1831	−	6.76401i	−1.03273	−	0.384170i
$311$	−15.4461	−	11.2222i	−0.875865	−	0.636354i	0.0562889	−	0.998415i	$-0.482073\pi$
$311$	−15.4461	−	11.2222i	−0.875865	−	0.636354i	−0.932154	+	0.362061i	$0.882073\pi$
$312$	−13.0615	+	9.48973i	−0.739462	+	0.537250i
$313$	18.5515	−	13.4785i	1.04859	−	0.761848i	0.0766489	−	0.997058i	$-0.475578\pi$
$313$	18.5515	−	13.4785i	1.04859	−	0.761848i	0.971944	+	0.235211i	$0.0755780\pi$
$314$	10.3087	+	7.48968i	0.581752	+	0.422667i
$315$	−22.5965	−	8.40579i	−1.27317	−	0.473613i
$316$	9.52222	−	6.91830i	0.535667	−	0.389185i
$317$	6.50091	−	20.0077i	0.365127	−	1.12375i	−0.584774	−	0.811196i	$-0.698817\pi$
$317$	6.50091	−	20.0077i	0.365127	−	1.12375i	0.949901	−	0.312550i	$-0.101183\pi$
$318$	1.92529			0.107965
$319$	−0.00563028	+	0.0173282i	−0.000315235	+	0.000970194i
$320$	0.0938288	−	2.23410i	0.00524519	−	0.124890i
$321$	7.77168	+	23.9188i	0.433773	+	1.33502i
$322$	−0.0285560	−	0.0878863i	−0.00159136	−	0.00489771i
$323$	0.259306	+	0.188397i	0.0144282	+	0.0104827i
$324$	−0.413230			−0.0229572
$325$	−6.59884	−	28.1560i	−0.366038	−	1.56182i
$326$	−14.4388			−0.799691
$327$	−11.2513	−	8.17453i	−0.622197	−	0.452053i
$328$	−2.39778	−	7.37960i	−0.132395	−	0.407471i
$329$	7.58053	+	23.3305i	0.417928	+	1.28625i
$330$	0.184221	+	0.0685291i	0.0101410	+	0.00377240i
$331$	4.07820	−	12.5514i	0.224158	−	0.689888i	−0.774218	−	0.632919i	$-0.781857\pi$
$331$	4.07820	−	12.5514i	0.224158	−	0.689888i	0.998376	−	0.0569685i	$-0.0181435\pi$
$332$	−7.46868			−0.409897
$333$	−4.11631	+	12.6687i	−0.225573	+	0.694241i
$334$	9.30642	−	6.76151i	0.509225	−	0.369973i
$335$	26.6463	−	7.43733i	1.45585	−	0.406344i
$336$	−5.08125	−	3.69174i	−0.277205	−	0.201401i
$337$	19.6689	−	14.2903i	1.07143	−	0.778441i	0.0952629	−	0.995452i	$-0.469631\pi$
$337$	19.6689	−	14.2903i	1.07143	−	0.778441i	0.976169	+	0.217011i	$0.0696308\pi$
$338$	−16.5463	+	12.0216i	−0.899998	+	0.653887i
$339$	26.3522	+	19.1460i	1.43126	+	1.03987i
$340$	0.396567	+	0.596992i	0.0215068	+	0.0323764i
$341$	0.221034	−	0.160591i	0.0119697	−	0.00869647i
$342$	−1.48079	+	4.55739i	−0.0800717	+	0.246436i
$343$	−20.1093			−1.08580
$344$	−0.176912	+	0.544478i	−0.00953844	+	0.0293563i
$345$	−0.246912	+	0.0689161i	−0.0132933	+	0.00371032i
$346$	4.01504	+	12.3570i	0.215850	+	0.664318i
$347$	11.2380	+	34.5869i	0.603286	+	1.85672i	0.508168	+	0.861258i	$0.330323\pi$
$347$	11.2380	+	34.5869i	0.603286	+	1.85672i	0.0951183	+	0.995466i	$0.469677\pi$
$348$	−1.30663	−	0.949322i	−0.0700427	−	0.0508890i
$349$	27.4579			1.46979			0.734893	−	0.678183i	$-0.237232\pi$
$349$	27.4579			1.46979			0.734893	+	0.678183i	$0.237232\pi$
$350$	9.62403	−	5.82626i	0.514426	−	0.311427i
$351$	28.9304			1.54419
$352$	0.0254761	+	0.0185094i	0.00135788	+	0.000986557i
$353$	−3.16594	−	9.74375i	−0.168506	−	0.518607i	0.830772	−	0.556613i	$-0.187899\pi$
$353$	−3.16594	−	9.74375i	−0.168506	−	0.518607i	−0.999278	+	0.0380059i	$0.987899\pi$
$354$	8.79949	+	27.0821i	0.467688	+	1.43939i
$355$	0.00782100	−	0.00986591i	0.000415096	−	0.000523628i
$356$	1.24367	−	3.82762i	0.0659143	−	0.202863i
$357$	2.01311			0.106545
$358$	7.42731	−	22.8589i	0.392546	−	1.20813i
$359$	10.2090	−	7.41726i	0.538810	−	0.391468i	−0.284833	−	0.958577i	$-0.591938\pi$
$359$	10.2090	−	7.41726i	0.538810	−	0.391468i	0.823643	+	0.567109i	$0.191938\pi$
$360$	−6.65636	+	8.39676i	−0.350821	+	0.442548i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−12.6691	+	9.20465i	−0.665874	+	0.483786i
$363$	24.8390	−	18.0466i	1.30371	−	0.947199i
$364$	−10.5284	−	7.64931i	−0.551837	−	0.400933i
$365$	−0.714386	+	17.0098i	−0.0373926	+	0.890333i
$366$	10.5207	−	7.64371i	0.549924	−	0.399543i
$367$	5.52338	−	16.9992i	0.288318	−	0.887352i	−0.697066	−	0.717007i	$-0.745512\pi$
$367$	5.52338	−	16.9992i	0.288318	−	0.887352i	0.985384	−	0.170346i	$-0.0544884\pi$
$368$	−0.0410700			−0.00214092
$369$	−11.4900	+	35.3625i	−0.598144	+	1.84090i
$370$	−3.43936	−	5.17762i	−0.178804	−	0.269171i
$371$	0.479565	+	1.47595i	0.0248978	+	0.0766275i
$372$	7.48396	+	23.0333i	0.388025	+	1.19422i
$373$	−30.6465	−	22.2660i	−1.58682	−	1.15289i	−0.908311	−	0.418295i	$-0.862628\pi$
$373$	−30.6465	−	22.2660i	−1.58682	−	1.15289i	−0.678506	−	0.734595i	$-0.737372\pi$
$374$	−0.0100932			−0.000521908
$375$	−15.0279	−	27.3524i	−0.776038	−	1.41247i
$376$	10.9025			0.562254
$377$	−2.70734	−	1.96700i	−0.139435	−	0.101306i
$378$	3.47788	+	10.7038i	0.178883	+	0.550545i
$379$	6.99109	+	21.5163i	0.359108	+	1.10522i	0.953589	+	0.301111i	$0.0973575\pi$
$379$	6.99109	+	21.5163i	0.359108	+	1.10522i	−0.594481	+	0.804110i	$0.702643\pi$
$380$	−1.23726	−	1.86257i	−0.0634702	−	0.0955481i
$381$	−16.8416	+	51.8332i	−0.862823	+	2.65550i
$382$	−8.55082			−0.437498
$383$	−9.13715	+	28.1213i	−0.466887	+	1.43693i	0.389707	+	0.920939i	$0.372576\pi$
$383$	−9.13715	+	28.1213i	−0.466887	+	1.43693i	−0.856594	+	0.515991i	$0.827424\pi$
$384$	−2.25829	+	1.64074i	−0.115243	+	0.0837289i
$385$	−0.00664816	+	0.158295i	−0.000338822	+	0.00806747i
$386$	−19.6475	−	14.2747i	−1.00003	−	0.726566i
$387$	2.21943	−	1.61251i	0.112820	−	0.0819686i
$388$	4.86068	−	3.53149i	0.246764	−	0.179284i
$389$	4.89709	+	3.55794i	0.248292	+	0.180395i	0.704970	−	0.709237i	$-0.250961\pi$
$389$	4.89709	+	3.55794i	0.248292	+	0.180395i	−0.456677	+	0.889632i	$0.650961\pi$
$390$	−22.4265	+	28.2903i	−1.13561	+	1.43253i
$391$	0.0106497	−	0.00773745i	0.000538578	−	0.000391300i
$392$	−0.598662	+	1.84249i	−0.0302370	+	0.0930600i
$393$	−40.2843			−2.03208
$394$	5.29769	−	16.3046i	0.266894	−	0.821415i
$395$	16.3496	−	20.6244i	0.822639	−	1.03773i
$396$	−0.0466302	−	0.143513i	−0.00234326	−	0.00721180i
$397$	9.35838	+	28.8021i	0.469684	+	1.44554i	0.852995	+	0.521918i	$0.174783\pi$
$397$	9.35838	+	28.8021i	0.469684	+	1.44554i	−0.383312	+	0.923619i	$0.625217\pi$
$398$	6.94063	+	5.04267i	0.347903	+	0.252766i
$399$	−6.28077			−0.314432
$400$	−1.14092	−	4.86809i	−0.0570459	−	0.243405i
$401$	−12.7291			−0.635660			−0.317830	−	0.948148i	$-0.602954\pi$
$401$	−12.7291			−0.635660			−0.317830	+	0.948148i	$0.602954\pi$
$402$	−27.9398	−	20.2994i	−1.39351	−	1.01244i
$403$	15.5068	+	47.7250i	0.772448	+	2.37735i
$404$	−0.843494	−	2.59601i	−0.0419654	−	0.129156i
$405$	−0.889994	+	0.248408i	−0.0442242	+	0.0123435i
$406$	0.402296	−	1.23814i	0.0199656	−	0.0614478i
$407$	0.0875368			0.00433904
$408$	0.276477	−	0.850910i	0.0136877	−	0.0421263i
$409$	−14.6973	+	10.6782i	−0.726735	+	0.528004i	−0.888529	−	0.458820i	$-0.848272\pi$
$409$	−14.6973	+	10.6782i	−0.726735	+	0.528004i	0.161794	+	0.986825i	$0.448272\pi$
$410$	−9.60037	−	14.4524i	−0.474129	−	0.713754i
$411$	15.4532	+	11.2274i	0.762252	+	0.553809i
$412$	−2.74335	+	1.99316i	−0.135155	+	0.0981961i
$413$	−18.5695	+	13.4916i	−0.913747	+	0.663876i
$414$	0.159218	+	0.115679i	0.00782514	+	0.00568530i
$415$	−16.0857	+	4.48971i	−0.789614	+	0.220391i
$416$	−4.67919	+	3.39963i	−0.229416	+	0.166681i
$417$	−0.507068	+	1.56059i	−0.0248312	+	0.0764227i
$418$	0.0314902			0.00154023
$419$	0.396396	−	1.21998i	0.0193652	−	0.0596001i	−0.940907	−	0.338665i	$-0.890025\pi$
$419$	0.396396	−	1.21998i	0.0193652	−	0.0596001i	0.960272	+	0.279065i	$0.0900246\pi$
$420$	−13.1630	−	4.89656i	−0.642288	−	0.238928i
$421$	−0.383414	−	1.18003i	−0.0186865	−	0.0575111i	0.941278	−	0.337631i	$-0.109626\pi$
$421$	−0.383414	−	1.18003i	−0.0186865	−	0.0575111i	−0.959965	+	0.280120i	$0.909626\pi$
$422$	3.61044	+	11.1118i	0.175753	+	0.540914i
$423$	−42.2663	−	30.7083i	−2.05506	−	1.49309i
$424$	0.689723			0.0334959
$425$	1.21298	+	1.04738i	0.0588381	+	0.0508054i
$426$	−0.0157166			−0.000761470
$427$	8.48030	+	6.16130i	0.410391	+	0.298166i
$428$	2.78415	+	8.56873i	0.134577	+	0.414185i
$429$	−0.157106	−	0.483522i	−0.00758515	−	0.0233447i
$430$	−0.0537168	+	1.27902i	−0.00259046	+	0.0616797i
$431$	1.41167	−	4.34468i	0.0679978	−	0.209276i	−0.911284	−	0.411779i	$-0.864908\pi$
$431$	1.41167	−	4.34468i	0.0679978	−	0.209276i	0.979282	+	0.202503i	$0.0649076\pi$
$432$	5.00198			0.240658
$433$	−11.9301	+	36.7170i	−0.573322	+	1.76450i	0.0685005	+	0.997651i	$0.478179\pi$
$433$	−11.9301	+	36.7170i	−0.573322	+	1.76450i	−0.641823	+	0.766853i	$0.721821\pi$
$434$	−15.7934	+	11.4746i	−0.758106	+	0.550796i
$435$	−3.38483	−	1.25914i	−0.162290	−	0.0603710i
$436$	−4.03069	−	2.92847i	−0.193035	−	0.140248i
$437$	−0.0332263	+	0.0241403i	−0.00158943	+	0.00115479i
$438$	17.1940	−	12.4922i	0.821560	−	0.596898i
$439$	−20.5902	−	14.9597i	−0.982716	−	0.713985i	−0.0244023	−	0.999702i	$-0.507768\pi$
$439$	−20.5902	−	14.9597i	−0.982716	−	0.713985i	−0.958314	+	0.285717i	$0.907768\pi$
$440$	0.0659958	+	0.0245501i	0.00314623	+	0.00117038i
$441$	7.51047	−	5.45668i	0.357642	−	0.259842i
$442$	0.572862	−	1.76309i	0.0272483	−	0.0838616i
$443$	−19.5508			−0.928886			−0.464443	−	0.885603i	$-0.653745\pi$
$443$	−19.5508			−0.928886			−0.464443	+	0.885603i	$0.653745\pi$
$444$	−2.39784	+	7.37980i	−0.113797	+	0.350230i
$445$	0.377623	−	8.99134i	0.0179010	−	0.426231i
$446$	6.16261	+	18.9665i	0.291808	+	0.898092i
$447$	17.7744	+	54.7041i	0.840702	+	2.58741i
$448$	−1.82032	−	1.32254i	−0.0860021	−	0.0624842i
$449$	−0.367020			−0.0173208			−0.00866038	−	0.999962i	$-0.502757\pi$
$449$	−0.367020			−0.0173208			−0.00866038	+	0.999962i	$0.502757\pi$
$450$	−9.28852	+	22.0859i	−0.437865	+	1.04114i
$451$	0.244344			0.0115057
$452$	9.44050	+	6.85893i	0.444044	+	0.322617i
$453$	−8.45744	−	26.0293i	−0.397365	−	1.22296i
$454$	−6.75531	−	20.7907i	−0.317043	−	0.975757i
$455$	−27.2738	−	10.1457i	−1.27861	−	0.475637i
$456$	−0.862591	+	2.65478i	−0.0403945	+	0.124322i
$457$	−19.6923			−0.921167			−0.460583	−	0.887616i	$-0.652360\pi$
$457$	−19.6923			−0.921167			−0.460583	+	0.887616i	$0.652360\pi$
$458$	−5.10915	+	15.7244i	−0.238735	+	0.734751i
$459$	−1.29704	+	0.942357i	−0.0605408	+	0.0439855i
$460$	−0.0884544	+	0.0246887i	−0.00412421	+	0.00115112i
$461$	15.5953	+	11.3307i	0.726347	+	0.527722i	0.888406	−	0.459059i	$-0.151813\pi$
$461$	15.5953	+	11.3307i	0.726347	+	0.527722i	−0.162059	+	0.986781i	$0.551813\pi$
$462$	0.160009	−	0.116254i	0.00744431	−	0.00540861i
$463$	22.8519	−	16.6029i	1.06202	−	0.771601i	0.0875575	−	0.996159i	$-0.472094\pi$
$463$	22.8519	−	16.6029i	1.06202	−	0.771601i	0.974461	+	0.224558i	$0.0720939\pi$
$464$	−0.468091	−	0.340088i	−0.0217306	−	0.0157882i
$465$	29.9647	+	45.1089i	1.38958	+	2.09188i
$466$	−2.27219	+	1.65084i	−0.105257	+	0.0764737i
$467$	−8.84336	+	27.2171i	−0.409222	+	1.25946i	0.508096	+	0.861301i	$0.330350\pi$
$467$	−8.84336	+	27.2171i	−0.409222	+	1.25946i	−0.917318	+	0.398156i	$0.869650\pi$
$468$	27.7155			1.28115
$469$	8.60232	−	26.4752i	0.397218	−	1.22251i
$470$	23.4813	−	6.55391i	1.08311	−	0.302310i
$471$	−10.9913	−	33.8278i	−0.506453	−	1.55870i
$472$	3.15236	+	9.70195i	0.145099	+	0.446569i
$473$	−0.0145850	−	0.0105966i	−0.000670619	−	0.000487234i
$474$	−32.8551			−1.50909
$475$	−3.78441	−	3.26775i	−0.173641	−	0.149935i
$476$	0.721183			0.0330554
$477$	−2.67388	−	1.94269i	−0.122429	−	0.0889497i
$478$	−4.93759	−	15.1963i	−0.225840	−	0.695065i
$479$	−0.525204	−	1.61641i	−0.0239972	−	0.0738558i	0.938341	−	0.345712i	$-0.112363\pi$
$479$	−0.525204	−	1.61641i	−0.0239972	−	0.0738558i	−0.962338	+	0.271856i	$0.912363\pi$
$480$	−3.87748	+	4.89130i	−0.176982	+	0.223256i
$481$	−4.96834	+	15.2910i	−0.226537	+	0.697209i
$482$	11.9614			0.544829
$483$	−0.0797113	+	0.245326i	−0.00362699	+	0.0111627i
$484$	8.89838	−	6.46505i	0.404472	−	0.293866i
$485$	8.34578	−	10.5279i	0.378962	−	0.478047i
$486$	13.0733	+	9.49828i	0.593015	+	0.430851i
$487$	4.15299	−	3.01732i	0.188190	−	0.136728i	−0.489701	−	0.871890i	$-0.662894\pi$
$487$	4.15299	−	3.01732i	0.188190	−	0.136728i	0.677891	+	0.735162i	$0.262894\pi$
$488$	3.76895	−	2.73830i	0.170613	−	0.123957i
$489$	32.6070	+	23.6904i	1.47454	+	1.07132i
$490$	−0.181776	+	4.32815i	−0.00821179	+	0.195526i
$491$	−2.79032	+	2.02729i	−0.125926	+	0.0914903i	−0.648965	−	0.760818i	$-0.724798\pi$
$491$	−2.79032	+	2.02729i	−0.125926	+	0.0914903i	0.523040	+	0.852308i	$0.324798\pi$
$492$	−6.69316	+	20.5994i	−0.301751	+	0.928695i
$493$	0.185450			0.00835226
$494$	−1.78729	+	5.50072i	−0.0804140	+	0.247489i
$495$	−0.186701	−	0.281060i	−0.00839158	−	0.0126327i
$496$	2.68107	+	8.25150i	0.120384	+	0.370503i
$497$	−0.00391479	−	0.0120485i	−0.000175602	−	0.000540448i
$498$	16.8665	+	12.2542i	0.755804	+	0.549124i
$499$	5.70053			0.255191			0.127595	−	0.991826i	$-0.459274\pi$
$499$	5.70053			0.255191			0.127595	+	0.991826i	$0.459274\pi$
$500$	−5.38364	−	9.79879i	−0.240764	−	0.438215i
$501$	−32.1105			−1.43459
$502$	8.74694	+	6.35502i	0.390395	+	0.283639i
$503$	−1.26904	−	3.90570i	−0.0565837	−	0.174147i	0.918770	−	0.394793i	$-0.129184\pi$
$503$	−1.26904	−	3.90570i	−0.0565837	−	0.174147i	−0.975354	+	0.220646i	$0.929184\pi$
$504$	3.33183	+	10.2543i	0.148412	+	0.456764i
$505$	−3.37723	−	5.08409i	−0.150285	−	0.226239i
$506$	0.000399652	−	0.00123000i	1.77667e−5	−	5.46802e-5i
$507$	57.0906			2.53548
$508$	−6.03339	+	18.5689i	−0.267689	+	0.823861i
$509$	−5.82215	+	4.23004i	−0.258062	+	0.187493i	−0.709292	−	0.704914i	$-0.750985\pi$
$509$	−5.82215	+	4.23004i	−0.258062	+	0.187493i	0.451230	+	0.892408i	$0.350985\pi$
$510$	0.0839486	−	1.99885i	0.00371731	−	0.0885104i
$511$	13.8594	+	10.0694i	0.613104	+	0.445446i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	4.04669	−	2.94009i	0.178666	−	0.129808i
$514$	7.71438	+	5.60483i	0.340267	+	0.247218i
$515$	−4.71033	+	5.94191i	−0.207562	+	0.261832i
$516$	1.29287	−	0.939324i	0.0569154	−	0.0413514i
$517$	−0.106092	+	0.326519i	−0.00466593	+	0.0143603i
$518$	−6.25470			−0.274816
$519$	11.2076	−	34.4934i	0.491959	−	1.51409i
$520$	−8.03415	+	10.1348i	−0.352321	+	0.444440i
$521$	−10.5751	−	32.5468i	−0.463303	−	1.42590i	−0.861104	−	0.508429i	$-0.830226\pi$
$521$	−10.5751	−	32.5468i	−0.463303	−	1.42590i	0.397800	−	0.917472i	$-0.369774\pi$
$522$	0.856771	+	2.63687i	0.0374999	+	0.115413i
$523$	23.6452	+	17.1792i	1.03393	+	0.751196i	0.969092	−	0.246700i	$-0.0793461\pi$
$523$	23.6452	+	17.1792i	1.03393	+	0.751196i	0.0648406	+	0.997896i	$0.479346\pi$
$524$	−14.4316			−0.630446
$525$	−31.2933	−	2.63319i	−1.36575	−	0.114922i
$526$	−19.7009			−0.859002
$527$	−2.24977	−	1.63456i	−0.0980017	−	0.0712024i
$528$	−0.0271631	−	0.0835995i	−0.00118212	−	0.00363820i
$529$	−7.10687	−	21.8727i	−0.308994	−	0.950987i
$530$	1.48549	−	0.414619i	0.0645256	−	0.0180099i
$531$	15.1059	−	46.4910i	0.655538	−	2.01754i
$532$	−2.25004			−0.0975517
$533$	−13.8683	+	42.6821i	−0.600701	+	1.84877i
$534$	−9.08871	+	6.60333i	−0.393307	+	0.285754i
$535$	11.1473	+	16.7812i	0.481942	+	0.725516i
$536$	−10.0092	−	7.27212i	−0.432333	−	0.314108i
$537$	−54.2787	+	39.4358i	−2.34230	+	1.70178i
$538$	−11.1375	+	8.09183i	−0.480170	+	0.348864i
$539$	−0.0493551	−	0.0358586i	−0.00212588	−	0.00154454i
$540$	10.7730	−	3.00688i	0.463597	−	0.129396i
$541$	−10.9545	+	7.95889i	−0.470969	+	0.342179i	−0.797819	−	0.602897i	$-0.794013\pi$
$541$	−10.9545	+	7.95889i	−0.470969	+	0.342179i	0.326850	+	0.945076i	$0.394013\pi$
$542$	0.301268	−	0.927209i	0.0129406	−	0.0398270i
$543$	43.7130			1.87591
$544$	0.0990460	−	0.304832i	0.00424656	−	0.0130696i
$545$	−10.4415	−	3.88418i	−0.447265	−	0.166380i
$546$	11.2256	+	34.5487i	0.480410	+	1.47855i
$547$	1.77275	+	5.45595i	0.0757971	+	0.233280i	0.981775	−	0.190044i	$-0.0608632\pi$
$547$	1.77275	+	5.45595i	0.0757971	+	0.233280i	−0.905978	+	0.423324i	$0.860863\pi$
$548$	5.53601	+	4.02215i	0.236487	+	0.171818i
$549$	−22.3241			−0.952768
$550$	0.156896	+	0.0132021i	0.00669008	+	0.000562940i
$551$	−0.578592			−0.0246489
$552$	0.0927480	+	0.0673854i	0.00394762	+	0.00286811i
$553$	−8.18377	−	25.1871i	−0.348009	−	1.07106i
$554$	0.926279	+	2.85079i	0.0393538	+	0.121119i
$555$	−0.728073	+	17.3357i	−0.0309050	+	0.735858i
$556$	−0.181654	+	0.559072i	−0.00770383	+	0.0237099i
$557$	20.9870			0.889249			0.444625	−	0.895717i	$-0.353337\pi$
$557$	20.9870			0.889249			0.444625	+	0.895717i	$0.353337\pi$
$558$	12.8475	−	39.5406i	0.543878	−	1.67389i
$559$	2.67883	−	1.94628i	0.113302	−	0.0823190i
$560$	−4.71555	−	1.75416i	−0.199268	−	0.0741267i
$561$	0.0227934	+	0.0165604i	0.000962339	+	0.000699180i
$562$	−0.534068	+	0.388023i	−0.0225283	+	0.0163678i
$563$	10.9577	−	7.96122i	0.461811	−	0.335526i	−0.332430	−	0.943128i	$-0.607869\pi$
$563$	10.9577	−	7.96122i	0.461811	−	0.335526i	0.794241	+	0.607602i	$0.207869\pi$
$564$	−24.6211	−	17.8882i	−1.03673	−	0.753231i
$565$	24.4556	+	9.09736i	1.02886	+	0.382729i
$566$	23.7149	−	17.2299i	0.996812	−	0.724227i
$567$	−0.287320	+	0.884279i	−0.0120663	+	0.0371362i
$568$	−0.00563035			−0.000236244
$569$	5.60377	−	17.2466i	0.234922	−	0.723017i	−0.762209	−	0.647331i	$-0.775885\pi$
$569$	5.60377	−	17.2466i	0.234922	−	0.723017i	0.997132	−	0.0756860i	$-0.0241147\pi$
$570$	−0.261914	+	6.23627i	−0.0109704	+	0.261208i
$571$	−2.81073	−	8.65055i	−0.117625	−	0.362014i	0.874860	−	0.484376i	$-0.160953\pi$
$571$	−2.81073	−	8.65055i	−0.117625	−	0.362014i	−0.992486	+	0.122362i	$0.960953\pi$
$572$	−0.0562821	−	0.173218i	−0.00235327	−	0.00724263i
$573$	19.3103	+	14.0297i	0.806697	+	0.586100i
$574$	−17.4589			−0.728721
$575$	−0.175667	+	0.106347i	−0.00732583	+	0.00443496i
$576$	4.79192			0.199664
$577$	−20.2534	−	14.7150i	−0.843161	−	0.612592i	0.0800909	−	0.996788i	$-0.474479\pi$
$577$	−20.2534	−	14.7150i	−0.843161	−	0.612592i	−0.923252	+	0.384195i	$0.874479\pi$
$578$	−5.22154	−	16.0703i	−0.217188	−	0.668435i
$579$	20.9486	+	64.4731i	0.870593	+	2.67941i
$580$	−1.21259	−	0.451077i	−0.0503501	−	0.0187299i
$581$	−5.19298	+	15.9823i	−0.215441	+	0.663060i
$582$	−16.7711			−0.695185
$583$	−0.00671169	+	0.0206565i	−0.000277970	+	0.000855503i
$584$	6.15962	−	4.47523i	0.254887	−	0.185186i
$585$	59.6923	−	16.6608i	2.46797	−	0.688841i
$586$	−21.4959	−	15.6177i	−0.887987	−	0.645160i
$587$	8.52656	−	6.19491i	0.351929	−	0.255691i	−0.397749	−	0.917494i	$-0.630209\pi$
$587$	8.52656	−	6.19491i	0.351929	−	0.255691i	0.749678	+	0.661803i	$0.230209\pi$
$588$	4.37502	−	3.17864i	0.180423	−	0.131085i
$589$	7.01915	+	5.09971i	0.289219	+	0.210130i
$590$	12.6216	+	19.0006i	0.519623	+	0.782241i
$591$	−38.7155	+	28.1284i	−1.59254	+	1.15705i
$592$	−0.859010	+	2.64376i	−0.0353051	+	0.108658i
$593$	−29.1420			−1.19672			−0.598359	−	0.801228i	$-0.704180\pi$
$593$	−29.1420			−1.19672			−0.598359	+	0.801228i	$0.704180\pi$
$594$	−0.0486743	+	0.149804i	−0.00199713	+	0.00614653i
$595$	1.55325	−	0.433530i	0.0636769	−	0.0177730i
$596$	6.36757	+	19.5974i	0.260826	+	0.802739i
$597$	−7.40025	−	22.7756i	−0.302872	−	0.932144i
$598$	0.192174	+	0.139623i	0.00785859	+	0.00570960i
$599$	−6.11215			−0.249736			−0.124868	−	0.992173i	$-0.539851\pi$
$599$	−6.11215			−0.249736			−0.124868	+	0.992173i	$0.539851\pi$
$600$	−5.41077	+	12.8655i	−0.220894	+	0.525233i
$601$	37.6345			1.53514			0.767571	−	0.640964i	$-0.221465\pi$
$601$	37.6345			1.53514			0.767571	+	0.640964i	$0.221465\pi$
$602$	1.04213	+	0.757153i	0.0424741	+	0.0308592i
$603$	18.3204	+	56.3844i	0.746064	+	2.29615i
$604$	−3.02982	−	9.32482i	−0.123282	−	0.379422i
$605$	15.2785	−	19.2733i	0.621159	−	0.783569i
$606$	−2.35453	+	7.24650i	−0.0956463	+	0.294369i
$607$	−15.9298			−0.646571			−0.323285	−	0.946302i	$-0.604787\pi$
$607$	−15.9298			−0.646571			−0.323285	+	0.946302i	$0.604787\pi$
$608$	−0.309017	+	0.951057i	−0.0125323	+	0.0385704i
$609$	−2.93997	+	2.13601i	−0.119134	+	0.0865557i
$610$	6.47128	−	8.16328i	0.262014	−	0.330522i
$611$	−51.0149	−	37.0645i	−2.06384	−	1.49947i
$612$	−1.24257	+	0.902783i	−0.0502281	+	0.0364928i
$613$	4.70844	−	3.42088i	0.190172	−	0.138168i	−0.488625	−	0.872494i	$-0.662501\pi$
$613$	4.70844	−	3.42088i	0.190172	−	0.138168i	0.678797	+	0.734326i	$0.262501\pi$
$614$	−18.8938	−	13.7272i	−0.762492	−	0.553983i
$615$	−2.03229	+	48.3895i	−0.0819498	+	1.95125i
$616$	0.0573222	−	0.0416470i	0.00230958	−	0.00167801i
$617$	−1.93832	+	5.96553i	−0.0780338	+	0.240163i	−0.982462	−	0.186462i	$-0.940298\pi$
$617$	−1.93832	+	5.96553i	−0.0780338	+	0.240163i	0.904428	+	0.426626i	$0.140298\pi$
$618$	9.46557			0.380761
$619$	9.67487	−	29.7762i	0.388866	−	1.19681i	−0.544771	−	0.838585i	$-0.683383\pi$
$619$	9.67487	−	29.7762i	0.388866	−	1.19681i	0.933637	−	0.358221i	$-0.116617\pi$
$620$	10.7347	+	16.1600i	0.431114	+	0.649000i
$621$	−0.0634818	−	0.195377i	−0.00254744	−	0.00784020i
$622$	5.89987	+	18.1579i	0.236563	+	0.728067i
$623$	−7.32606	−	5.32269i	−0.293512	−	0.213249i
$624$	16.1449			0.646313
$625$	−17.4854	−	17.8678i	−0.699418	−	0.714713i
$626$	−22.9309			−0.916504
$627$	−0.0711140	−	0.0516673i	−0.00284002	−	0.00206339i
$628$	−3.93756	−	12.1186i	−0.157126	−	0.483583i
$629$	−0.275330	−	0.847378i	−0.0109781	−	0.0337872i
$630$	13.3402	+	20.0823i	0.531486	+	0.800100i
$631$	10.1528	−	31.2471i	0.404176	−	1.24393i	−0.517405	−	0.855741i	$-0.673102\pi$
$631$	10.1528	−	31.2471i	0.404176	−	1.24393i	0.921581	−	0.388185i	$-0.126898\pi$
$632$	−11.7701			−0.468190
$633$	10.0782	−	31.0175i	0.400572	−	1.23283i
$634$	−17.0196	+	12.3655i	−0.675935	+	0.491095i
$635$	−1.83196	+	43.6196i	−0.0726990	+	1.73099i
$636$	−1.55760	−	1.13166i	−0.0617627	−	0.0448732i
$637$	9.06505	−	6.58615i	0.359170	−	0.260953i
$638$	0.0147403	−	0.0107094i	0.000583572	−	0.000423990i
$639$	0.0218275	+	0.0158586i	0.000863481	+	0.000627356i
$640$	−1.38908	+	1.75227i	−0.0549082	+	0.0692647i
$641$	4.53623	−	3.29576i	0.179170	−	0.130175i	−0.494585	−	0.869129i	$-0.664680\pi$
$641$	4.53623	−	3.29576i	0.179170	−	0.130175i	0.673756	+	0.738954i	$0.264680\pi$
$642$	7.77168	−	23.9188i	0.306724	−	0.943999i
$643$	−33.0789			−1.30450			−0.652252	−	0.758002i	$-0.726176\pi$
$643$	−33.0789			−1.30450			−0.652252	+	0.758002i	$0.726176\pi$
$644$	−0.0285560	+	0.0878863i	−0.00112526	+	0.00346321i
$645$	2.21985	−	2.80026i	0.0874065	−	0.110260i
$646$	−0.0990460	−	0.304832i	−0.00389691	−	0.0119935i
$647$	−8.81977	−	27.1445i	−0.346741	−	1.06716i	−0.960645	−	0.277778i	$-0.910402\pi$
$647$	−8.81977	−	27.1445i	−0.346741	−	1.06716i	0.613904	−	0.789380i	$-0.289598\pi$
$648$	0.334310	+	0.242891i	0.0131330	+	0.00954165i
$649$	−0.321239			−0.0126097
$650$	−11.2111	+	26.6574i	−0.439737	+	1.04559i
$651$	54.4929			2.13574
$652$	11.6812	+	8.48691i	0.457472	+	0.332373i
$653$	0.0350711	+	0.107938i	0.00137244	+	0.00422393i	0.951740	−	0.306904i	$-0.0992931\pi$
$653$	0.0350711	+	0.107938i	0.00137244	+	0.00422393i	−0.950368	+	0.311128i	$0.899293\pi$
$654$	4.29760	+	13.2267i	0.168050	+	0.517204i
$655$	−31.0820	+	8.67537i	−1.21447	+	0.338975i
$656$	−2.39778	+	7.37960i	−0.0936175	+	0.288125i
$657$	−36.4843			−1.42339
$658$	7.58053	−	23.3305i	0.295520	−	0.909517i
$659$	35.9597	−	26.1263i	1.40079	−	1.01773i	0.406209	−	0.913780i	$-0.366850\pi$
$659$	35.9597	−	26.1263i	1.40079	−	1.01773i	0.994582	−	0.103954i	$-0.0331495\pi$
$660$	−0.108757	−	0.163723i	−0.00423337	−	0.00637293i
$661$	−34.0940	−	24.7707i	−1.32610	−	0.963469i	−0.999835	−	0.0181916i	$-0.994209\pi$
$661$	−34.0940	−	24.7707i	−1.32610	−	0.963469i	−0.326267	−	0.945278i	$-0.605791\pi$
$662$	−10.6769	+	7.75720i	−0.414968	+	0.301492i
$663$	−4.18647	+	3.04165i	−0.162589	+	0.118128i
$664$	6.04229	+	4.38998i	0.234486	+	0.170364i
$665$	−4.84602	+	1.35259i	−0.187921	+	0.0524510i
$666$	10.7766	−	7.82969i	0.417587	−	0.303394i
$667$	−0.00734310	+	0.0225997i	−0.000284326	+	0.000875065i
$668$	−11.5034			−0.445079
$669$	17.2023	−	52.9433i	0.665080	−	2.04690i
$670$	−25.9289	−	9.64541i	−1.00172	−	0.372635i
$671$	0.0453336	+	0.139523i	0.00175008	+	0.00538621i
$672$	1.94086	+	5.97337i	0.0748705	+	0.230428i
$673$	4.04145	+	2.93628i	0.155786	+	0.113185i	0.662948	−	0.748666i	$-0.269305\pi$
$673$	4.04145	+	2.93628i	0.155786	+	0.113185i	−0.507161	+	0.861851i	$0.669305\pi$
$674$	−24.3121			−0.936466
$675$	21.3948	−	12.9521i	0.823487	−	0.498528i
$676$	20.4523			0.786627
$677$	−38.1815	−	27.7405i	−1.46743	−	1.06615i	−0.981348	−	0.192241i	$-0.938425\pi$
$677$	−38.1815	−	27.7405i	−1.46743	−	1.06615i	−0.486085	−	0.873912i	$-0.661575\pi$
$678$	−10.0657	−	30.9789i	−0.386569	−	1.18974i
$679$	−4.17746	−	12.8569i	−0.160316	−	0.493403i
$680$	0.0300740	−	0.716073i	0.00115328	−	0.0274601i
$681$	−18.8568	+	58.0353i	−0.722594	+	2.22392i
$682$	−0.273213			−0.0104619
$683$	−14.0115	+	43.1231i	−0.536137	+	1.65006i	0.205044	+	0.978753i	$0.434266\pi$
$683$	−14.0115	+	43.1231i	−0.536137	+	1.65006i	−0.741180	+	0.671306i	$0.765734\pi$
$684$	3.87675	−	2.81662i	0.148231	−	0.107696i
$685$	14.3411	+	5.33479i	0.547943	+	0.203832i
$686$	16.2688	+	11.8200i	0.621145	+	0.451288i
$687$	37.3376	−	27.1274i	1.42452	−	1.03497i
$688$	0.463161	−	0.336506i	0.0176578	−	0.0128292i
$689$	−3.22735	−	2.34480i	−0.122952	−	0.0893299i
$690$	0.240264	+	0.0893768i	0.00914668	+	0.00340252i
$691$	21.9675	−	15.9604i	0.835685	−	0.607161i	−0.0854770	−	0.996340i	$-0.527241\pi$
$691$	21.9675	−	15.9604i	0.835685	−	0.607161i	0.921162	+	0.389179i	$0.127241\pi$
$692$	4.01504	−	12.3570i	0.152629	−	0.469744i
$693$	−0.339528			−0.0128976
$694$	11.2380	−	34.5869i	0.426588	−	1.31290i
$695$	−0.0551566	+	1.31330i	−0.00209221	+	0.0498163i
$696$	0.499088	+	1.53604i	0.0189179	+	0.0582233i
$697$	−0.768535	−	2.36531i	−0.0291104	−	0.0895925i
$698$	−22.2139	−	16.1393i	−0.840808	−	0.610883i
$699$	7.83987			0.296531
$700$	−11.2106	−	0.943320i	−0.423720	−	0.0356541i
$701$	−3.64730			−0.137757			−0.0688783	−	0.997625i	$-0.521942\pi$
$701$	−3.64730			−0.137757			−0.0688783	+	0.997625i	$0.521942\pi$
$702$	−23.4052	−	17.0049i	−0.883373	−	0.641808i
$703$	0.859010	+	2.64376i	0.0323982	+	0.0997114i
$704$	−0.00973099	−	0.0299489i	−0.000366751	−	0.00112874i
$705$	−63.7809	−	23.7261i	−2.40213	−	0.893578i
$706$	−3.16594	+	9.74375i	−0.119152	+	0.366711i
$707$	−6.14172			−0.230983
$708$	8.79949	−	27.0821i	0.330705	−	1.01781i
$709$	33.7675	−	24.5335i	1.26816	−	0.921375i	0.269036	−	0.963130i	$-0.413295\pi$
$709$	33.7675	−	24.5335i	1.26816	−	0.921375i	0.999128	+	0.0417551i	$0.0132949\pi$
$710$	−0.0121264	+	0.00338462i	−0.000455094	+	0.000127022i
$711$	45.6298	+	33.1520i	1.71125	+	1.24330i
$712$	−3.25597	+	2.36560i	−0.122022	+	0.0886545i
$713$	0.288276	−	0.209445i	0.0107960	−	0.00784377i
$714$	−1.62864	−	1.18328i	−0.0609504	−	0.0442830i
$715$	−0.225346	−	0.339236i	−0.00842745	−	0.0126867i
$716$	−19.4450	+	14.1276i	−0.726692	+	0.527973i
$717$	−13.7828	+	42.4191i	−0.514728	+	1.58417i
$718$	−12.6190			−0.470937
$719$	−5.78620	+	17.8081i	−0.215789	+	0.664130i	0.783308	+	0.621634i	$0.213531\pi$
$719$	−5.78620	+	17.8081i	−0.215789	+	0.664130i	−0.999097	+	0.0424958i	$0.986469\pi$
$720$	10.3206	−	2.88061i	0.384626	−	0.107354i
$721$	2.35775	+	7.25640i	0.0878071	+	0.270242i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	−27.0124	−	19.6257i	−1.00460	−	0.729887i
$724$	15.6599			0.581995
$725$	−2.88277	−	0.242572i	−0.107064	−	0.00900891i
$726$	−30.7027			−1.13948
$727$	−37.4202	−	27.1874i	−1.38784	−	1.00832i	−0.996098	−	0.0882487i	$-0.971873\pi$
$727$	−37.4202	−	27.1874i	−1.38784	−	1.00832i	−0.391741	−	0.920076i	$-0.628127\pi$
$728$	4.02148	+	12.3768i	0.149046	+	0.458716i
$729$	−13.5559	−	41.7208i	−0.502070	−	1.54521i
$730$	10.5760	−	13.3413i	0.391437	−	0.493784i
$731$	−0.0567037	+	0.174516i	−0.00209726	+	0.00645471i
$732$	−13.0043			−0.480651
$733$	12.5805	−	38.7189i	0.464672	−	1.43011i	−0.394723	−	0.918800i	$-0.629159\pi$
$733$	12.5805	−	38.7189i	0.464672	−	1.43011i	0.859395	−	0.511313i	$-0.170841\pi$
$734$	−14.4604	+	10.5061i	−0.533743	+	0.387787i
$735$	7.51189	−	9.47597i	0.277080	−	0.349526i
$736$	0.0332263	+	0.0241403i	0.00122474	+	0.000889824i
$737$	0.315192	−	0.229000i	0.0116102	−	0.00843534i
$738$	30.0811	−	21.8552i	1.10730	−	0.804502i
$739$	−41.1249	−	29.8790i	−1.51281	−	1.09912i	−0.964914	−	0.262568i	$-0.915431\pi$
$739$	−41.1249	−	29.8790i	−1.51281	−	1.09912i	−0.547891	−	0.836549i	$-0.684569\pi$
$740$	−0.260827	+	6.21038i	−0.00958819	+	0.228298i
$741$	13.0615	−	9.48973i	0.479826	−	0.348614i
$742$	0.479565	−	1.47595i	0.0176054	−	0.0541838i
$743$	−30.5539			−1.12091			−0.560457	−	0.828183i	$-0.689375\pi$
$743$	−30.5539			−1.12091			−0.560457	+	0.828183i	$0.689375\pi$
$744$	7.48396	−	23.0333i	0.274375	−	0.844440i
$745$	25.4948	+	38.3800i	0.934059	+	1.40613i
$746$	11.7059	+	36.0272i	0.428585	+	1.31905i
$747$	−11.0595	−	34.0377i	−0.404647	−	1.24537i
$748$	0.00816558	+	0.00593264i	0.000298563	+	0.000216919i
$749$	20.2722			0.740730
$750$	−3.91949	+	30.9617i	−0.143119	+	1.13056i
$751$	−4.31616			−0.157499			−0.0787494	−	0.996894i	$-0.525093\pi$
$751$	−4.31616			−0.157499			−0.0787494	+	0.996894i	$0.525093\pi$
$752$	−8.82032	−	6.40834i	−0.321644	−	0.233688i
$753$	−9.32617	−	28.7030i	−0.339864	−	1.04599i
$754$	1.03411	+	3.18267i	0.0376602	+	0.115906i
$755$	−12.1310	−	18.2620i	−0.441491	−	0.664622i
$756$	3.47788	−	10.7038i	0.126489	−	0.389294i
$757$	−0.675101			−0.0245370			−0.0122685	−	0.999925i	$-0.503905\pi$
$757$	−0.675101			−0.0245370			−0.0122685	+	0.999925i	$0.503905\pi$
$758$	6.99109	−	21.5163i	0.253928	−	0.781509i
$759$	−0.00292065	+	0.00212198i	−0.000106013	+	7.70228e-5i
$760$	−0.0938288	+	2.23410i	−0.00340353	+	0.0810393i
$761$	−1.03267	−	0.750280i	−0.0374343	−	0.0271976i	0.568911	−	0.822399i	$-0.307365\pi$
$761$	−1.03267	−	0.750280i	−0.0374343	−	0.0271976i	−0.606345	+	0.795202i	$0.707365\pi$
$762$	44.0920	−	32.0347i	1.59728	−	1.16049i
$763$	−9.06922	+	6.58917i	−0.328328	+	0.238544i
$764$	6.91776	+	5.02605i	0.250276	+	0.181836i
$765$	−2.13350	+	2.69133i	−0.0771367	+	0.0973051i
$766$	23.9214	−	17.3799i	0.864315	−	0.627961i
$767$	18.2326	−	56.1141i	0.658340	−	2.02616i
$768$	2.79140			0.100726
$769$	−8.01932	+	24.6809i	−0.289184	+	0.890018i	0.695929	+	0.718111i	$0.254993\pi$
$769$	−8.01932	+	24.6809i	−0.289184	+	0.890018i	−0.985113	+	0.171907i	$0.945007\pi$
$770$	0.0984220	−	0.124156i	0.00354688	−	0.00447426i
$771$	−8.22524	−	25.3147i	−0.296225	−	0.911686i
$772$	7.50468	+	23.0970i	0.270099	+	0.831280i
$773$	8.02058	+	5.82729i	0.288480	+	0.209593i	0.722608	−	0.691258i	$-0.242943\pi$
$773$	8.02058	+	5.82729i	0.288480	+	0.209593i	−0.434128	+	0.900851i	$0.642943\pi$
$774$	−2.74337			−0.0986084
$775$	32.8341	+	28.3515i	1.17944	+	1.01842i
$776$	−6.00814			−0.215680
$777$	14.1249	+	10.2624i	0.506729	+	0.368161i
$778$	−1.87052	−	5.75688i	−0.0670615	−	0.206394i
$779$	2.39778	+	7.37960i	0.0859093	+	0.264402i
$780$	34.7721	−	9.70531i	1.24504	−	0.347506i
$781$	5.47889e−5	0	0.000168623i	1.96050e−6	0	6.03380e-6i
$782$	−0.0131637			−0.000470734
$783$	0.894329	−	2.75246i	0.0319607	−	0.0983649i
$784$	1.56732	−	1.13872i	0.0559757	−	0.0406687i
$785$	−15.7654	−	23.7333i	−0.562693	−	0.847079i
$786$	32.5907	+	23.6785i	1.16247	+	0.844585i
$787$	−24.6125	+	17.8820i	−0.877340	+	0.637425i	−0.932546	−	0.361050i	$-0.882418\pi$
$787$	−24.6125	+	17.8820i	−0.877340	+	0.637425i	0.0552066	+	0.998475i	$0.482418\pi$
$788$	−13.8695	+	10.0768i	−0.494082	+	0.358972i
$789$	44.4905	+	32.3242i	1.58390	+	1.15077i
$790$	−25.3499	+	7.07546i	−0.901908	+	0.251734i
$791$	21.2415	−	15.4329i	0.755261	−	0.548730i
$792$	−0.0466302	+	0.143513i	−0.00165693	+	0.00509951i
$793$	−26.9449			−0.956840
$794$	9.35838	−	28.8021i	0.332116	−	1.02215i
$795$	−4.03495	−	1.50098i	−0.143105	−	0.0532343i
$796$	−2.65109	−	8.15920i	−0.0939653	−	0.289195i
$797$	−15.6320	−	48.1104i	−0.553715	−	1.70416i	−0.699314	−	0.714814i	$-0.746511\pi$
$797$	−15.6320	−	48.1104i	−0.553715	−	1.70416i	0.145600	−	0.989344i	$-0.453489\pi$
$798$	5.08125	+	3.69174i	0.179874	+	0.130686i
$799$	3.49447			0.123625
$800$	−1.93837	+	4.60898i	−0.0685317	+	0.162952i
$801$	19.2856			0.681422
$802$	10.2980	+	7.48196i	0.363636	+	0.264197i
$803$	0.0740890	+	0.228022i	0.00261454	+	0.00804674i
$804$	10.6720	+	32.8452i	0.376374	+	1.15836i
$805$	−0.00867064	+	0.206451i	−0.000305600	+	0.00727645i
$806$	15.5068	−	47.7250i	0.546203	−	1.68104i
$807$	38.4283			1.35274
$808$	−0.843494	+	2.59601i	−0.0296740	+	0.0913272i
$809$	19.0260	−	13.8232i	0.668918	−	0.485998i	−0.200745	−	0.979644i	$-0.564336\pi$
$809$	19.0260	−	13.8232i	0.668918	−	0.485998i	0.869663	+	0.493646i	$0.164336\pi$
$810$	0.866031	+	0.322159i	0.0304292	+	0.0113195i
$811$	0.157335	+	0.114310i	0.00552477	+	0.00401398i	0.590544	−	0.807005i	$-0.298913\pi$
$811$	0.157335	+	0.114310i	0.00552477	+	0.00401398i	−0.585019	+	0.811019i	$0.698913\pi$
$812$	−1.05322	+	0.765212i	−0.0369609	+	0.0268537i
$813$	−2.20166	+	1.59960i	−0.0772158	+	0.0561005i
$814$	−0.0708188	−	0.0514529i	−0.00248220	−	0.00180342i
$815$	30.2602	+	11.2566i	1.05997	+	0.394303i
$816$	−0.723827	+	0.525891i	−0.0253390	+	0.0184099i
$817$	0.176912	−	0.544478i	0.00618936	−	0.0190489i
$818$	18.1669			0.635190
$819$	19.2706	−	59.3089i	0.673370	−	2.07242i
$820$	−0.728053	+	17.3352i	−0.0254247	+	0.605372i
$821$	−11.5483	−	35.5420i	−0.403038	−	1.24042i	−0.922522	−	0.385944i	$-0.873876\pi$
$821$	−11.5483	−	35.5420i	−0.403038	−	1.24042i	0.519484	−	0.854480i	$-0.326124\pi$
$822$	−5.90261	−	18.1664i	−0.205877	−	0.633625i
$823$	23.3111	+	16.9365i	0.812575	+	0.590370i	0.914576	−	0.404414i	$-0.132525\pi$
$823$	23.3111	+	16.9365i	0.812575	+	0.590370i	−0.102001	+	0.994784i	$0.532525\pi$
$824$	3.39097			0.118130
$825$	−0.332656	−	0.287241i	−0.0115816	−	0.0100004i
$826$	22.9532			0.798644
$827$	−16.6690	−	12.1107i	−0.579636	−	0.421130i	0.258957	−	0.965889i	$-0.416621\pi$
$827$	−16.6690	−	12.1107i	−0.579636	−	0.421130i	−0.838593	+	0.544759i	$0.816621\pi$
$828$	−0.0608159	−	0.187172i	−0.00211350	−	0.00650468i
$829$	1.54861	+	4.76612i	0.0537853	+	0.165534i	0.974341	−	0.225077i	$-0.0722635\pi$
$829$	1.54861	+	4.76612i	0.0537853	+	0.165534i	−0.920556	+	0.390612i	$0.872264\pi$
$830$	15.6526	+	5.82266i	0.543308	+	0.202108i
$831$	2.58562	−	7.95771i	0.0896940	−	0.276050i
$832$	5.78380			0.200517
$833$	−0.191883	+	0.590556i	−0.00664836	+	0.0204615i
$834$	1.32752	−	0.964501i	0.0459683	−	0.0333979i
$835$	−24.7754	+	6.91511i	−0.857387	+	0.239307i
$836$	−0.0254761	−	0.0185094i	−0.000881108	−	0.000640163i
$837$	−35.1096	+	25.5086i	−1.21357	+	0.881708i
$838$	−1.03778	+	0.753991i	−0.0358495	+	0.0260462i
$839$	−37.9747	−	27.5902i	−1.31103	−	0.952520i	−0.999998	−	0.00212130i	$-0.999325\pi$
$839$	−37.9747	−	27.5902i	−1.31103	−	0.952520i	−0.311034	−	0.950399i	$-0.600675\pi$
$840$	7.77095	+	11.6984i	0.268123	+	0.403633i
$841$	23.1907	−	16.8490i	0.799678	−	0.581000i
$842$	−0.383414	+	1.18003i	−0.0132133	+	0.0406665i
$843$	1.84273			0.0634670
$844$	3.61044	−	11.1118i	0.124276	−	0.382484i
$845$	44.0491	−	12.2947i	1.51534	−	0.422949i
$846$	16.1443	+	49.6870i	0.555052	+	1.70828i
$847$	−7.64762	−	23.5370i	−0.262775	−	0.808740i
$848$	−0.557998	−	0.405409i	−0.0191617	−	0.0139218i
$849$	−81.8251			−2.80823
$850$	−0.365687	−	1.56032i	−0.0125429	−	0.0535185i
$851$	0.114167			0.00391359
$852$	0.0127150	+	0.00923797i	0.000435608	+	0.000316488i
$853$	8.65627	+	26.6413i	0.296385	+	0.912180i	0.982753	+	0.184925i	$0.0592042\pi$
$853$	8.65627	+	26.6413i	0.296385	+	0.912180i	−0.686367	+	0.727255i	$0.740796\pi$
$854$	−3.23919	−	9.96919i	−0.110843	−	0.341139i
$855$	6.65636	−	8.39676i	0.227643	−	0.287163i
$856$	2.78415	−	8.56873i	0.0951603	−	0.292873i
$857$	−37.3535			−1.27597			−0.637986	−	0.770048i	$-0.720232\pi$
$857$	−37.3535			−1.27597			−0.637986	+	0.770048i	$0.720232\pi$
$858$	−0.157106	+	0.483522i	−0.00536351	+	0.0165072i
$859$	13.2024	−	9.59211i	0.450461	−	0.327279i	−0.339317	−	0.940672i	$-0.610196\pi$
$859$	13.2024	−	9.59211i	0.450461	−	0.327279i	0.789778	+	0.613393i	$0.210196\pi$
$860$	0.795246	−	1.00317i	0.0271177	−	0.0342079i
$861$	39.4273	+	28.6456i	1.34368	+	0.976241i
$862$	−3.69580	+	2.68516i	−0.125879	+	0.0914568i
$863$	−12.5542	+	9.12116i	−0.427350	+	0.310488i	−0.780588	−	0.625045i	$-0.785080\pi$
$863$	−12.5542	+	9.12116i	−0.427350	+	0.310488i	0.353238	+	0.935533i	$0.385080\pi$
$864$	−4.04669	−	2.94009i	−0.137671	−	0.100024i
$865$	1.21911	−	29.0275i	0.0414511	−	0.986966i
$866$	31.2333	−	22.6923i	1.06135	−	0.771117i
$867$	−14.5754	+	44.8585i	−0.495007	+	1.52348i
$868$	19.5217			0.662609
$869$	0.114535	−	0.352502i	0.00388533	−	0.0119578i
$870$	1.99828	+	3.00821i	0.0677480	+	0.101988i
$871$	22.1125	+	68.0553i	0.749254	+	2.30597i
$872$	1.53959	+	4.73836i	0.0521370	+	0.160461i
$873$	23.2920	+	16.9227i	0.788316	+	0.572745i
$874$	0.0410700			0.00138921
$875$	−24.7119	+	4.70744i	−0.835413	+	0.159140i
$876$	−21.2529			−0.718070
$877$	−38.9245	−	28.2803i	−1.31439	−	0.954959i	−0.999984	−	0.00566967i	$-0.998195\pi$
$877$	−38.9245	−	28.2803i	−1.31439	−	0.954959i	−0.314404	−	0.949289i	$-0.601805\pi$
$878$	7.86475	+	24.2052i	0.265423	+	0.816887i
$879$	22.9194	+	70.5386i	0.773051	+	2.37921i
$880$	−0.0389615	−	0.0586528i	−0.00131339	−	0.00197718i
$881$	−8.71791	+	26.8310i	−0.293714	+	0.903958i	0.689937	+	0.723870i	$0.257638\pi$
$881$	−8.71791	+	26.8310i	−0.293714	+	0.903958i	−0.983650	+	0.180088i	$0.942362\pi$
$882$	−9.28346			−0.312590
$883$	−7.25601	+	22.3317i	−0.244184	+	0.751521i	0.751586	+	0.659636i	$0.229289\pi$
$883$	−7.25601	+	22.3317i	−0.244184	+	0.751521i	−0.995770	+	0.0918855i	$0.970711\pi$
$884$	−1.49977	+	1.08965i	−0.0504428	+	0.0366488i
$885$	2.67185	−	63.6176i	0.0898131	−	2.13848i
$886$	15.8169	+	11.4917i	0.531380	+	0.386070i
$887$	14.1713	−	10.2961i	0.475826	−	0.345708i	−0.323881	−	0.946098i	$-0.604988\pi$
$887$	14.1713	−	10.2961i	0.475826	−	0.345708i	0.799708	+	0.600390i	$0.204988\pi$
$888$	6.27764	−	4.56097i	0.210664	−	0.153056i
$889$	35.5408	+	25.8219i	1.19200	+	0.866040i
$890$	−5.59048	+	7.05219i	−0.187393	+	0.236390i
$891$	−0.0105275	+	0.00764867i	−0.000352684	+	0.000256240i
$892$	6.16261	−	18.9665i	0.206339	−	0.635047i
$893$	−10.9025			−0.364839
$894$	17.7744	−	54.7041i	0.594466	−	1.82958i
$895$	−33.3869	+	42.1164i	−1.11600	+	1.40779i
$896$	0.695301	+	2.13992i	0.0232284	+	0.0714896i
$897$	−0.204900	−	0.630618i	−0.00684142	−	0.0210557i
$898$	0.296926	+	0.215729i	0.00990854	+	0.00719897i
$899$	5.01995			0.167425
$900$	20.4963	−	12.4082i	0.683211	−	0.413607i
$901$	0.221070			0.00736491
$902$	−0.197678	−	0.143622i	−0.00658197	−	0.00478208i
$903$	−1.11114	−	3.41974i	−0.0369765	−	0.113802i
$904$	−3.60595	−	11.0980i	−0.119932	−	0.369113i
$905$	33.7274	−	9.41375i	1.12114	−	0.312924i
$906$	−8.45744	+	26.0293i	−0.280980	+	0.864767i
$907$	−8.82995			−0.293194			−0.146597	−	0.989196i	$-0.546832\pi$
$907$	−8.82995			−0.293194			−0.146597	+	0.989196i	$0.546832\pi$
$908$	−6.75531	+	20.7907i	−0.224183	+	0.689964i
$909$	10.5820	−	7.68826i	0.350982	−	0.255004i
$910$	16.1014	+	24.2391i	0.533758	+	0.803520i
$911$	−14.4764	−	10.5177i	−0.479625	−	0.348468i	0.321555	−	0.946891i	$-0.395794\pi$
$911$	−14.4764	−	10.5177i	−0.479625	−	0.348468i	−0.801181	+	0.598423i	$0.795794\pi$
$912$	2.25829	−	1.64074i	0.0747795	−	0.0543305i
$913$	−0.190273	+	0.138241i	−0.00629710	+	0.00457511i
$914$	15.9314	+	11.5748i	0.526964	+	0.382862i
$915$	−28.0079	+	7.81735i	−0.925913	+	0.258434i
$916$	13.3759	−	9.71819i	0.441953	−	0.321098i
$917$	−10.0343	+	30.8824i	−0.331361	+	1.01983i
$918$	1.60323			0.0529146
$919$	−2.10521	+	6.47918i	−0.0694446	+	0.213729i	−0.979756	−	0.200196i	$-0.935842\pi$
$919$	−2.10521	+	6.47918i	−0.0694446	+	0.213729i	0.910311	+	0.413924i	$0.135842\pi$
$920$	0.0860728	+	0.0320186i	0.00283774	+	0.00105562i
$921$	20.1450	+	61.9998i	0.663799	+	2.04296i
$922$	−5.95689	−	18.3334i	−0.196180	−	0.603779i
$923$	0.0263455	+	0.0191411i	0.000867172	+	0.000630037i
$924$	−0.197782			−0.00650657
$925$	3.17154	+	13.5324i	0.104280	+	0.444942i
$926$	−28.2465			−0.928238
$927$	−13.1459	−	9.55109i	−0.431769	−	0.313699i
$928$	0.178795	+	0.550274i	0.00586923	+	0.0180636i
$929$	12.8657	+	39.5967i	0.422111	+	1.29912i	0.905733	+	0.423848i	$0.139321\pi$
$929$	12.8657	+	39.5967i	0.422111	+	1.29912i	−0.483622	+	0.875277i	$0.660679\pi$
$930$	2.27240	−	54.1067i	0.0745150	−	1.77423i
$931$	0.598662	−	1.84249i	0.0196204	−	0.0603853i
$932$	2.80858			0.0919981
$933$	16.4689	−	50.6861i	0.539168	−	1.65939i
$934$	23.1522	−	16.8211i	0.757564	−	0.550403i
$935$	0.0211530	+	0.00786878i	0.000691775	+	0.000257337i
$936$	−22.4223	−	16.2908i	−0.732897	−	0.532481i
$937$	−44.4062	+	32.2630i	−1.45069	+	1.05399i	−0.465018	+	0.885301i	$0.653952\pi$
$937$	−44.4062	+	32.2630i	−1.45069	+	1.05399i	−0.985670	+	0.168685i	$0.946048\pi$
$938$	−22.5212	+	16.3626i	−0.735342	+	0.534257i
$939$	51.7847	+	37.6238i	1.68993	+	1.22781i
$940$	−22.8490	−	8.49972i	−0.745254	−	0.277230i
$941$	−15.3367	+	11.1428i	−0.499962	+	0.363244i	−0.809003	−	0.587805i	$-0.799992\pi$
$941$	−15.3367	+	11.1428i	−0.499962	+	0.363244i	0.309040	+	0.951049i	$0.399992\pi$
$942$	−10.9913	+	33.8278i	−0.358116	+	1.10217i
$943$	0.318677			0.0103776
$944$	3.15236	−	9.70195i	0.102600	−	0.315772i
$945$	1.05601	−	25.1440i	0.0343521	−	0.817936i
$946$	0.00557098	+	0.0171457i	0.000181128	+	0.000557455i
$947$	−0.0231560	−	0.0712669i	−0.000752469	−	0.00231586i	0.950680	−	0.310175i	$-0.100388\pi$
$947$	−0.0231560	−	0.0712669i	−0.000752469	−	0.00231586i	−0.951432	+	0.307859i	$0.900388\pi$
$948$	26.5803	+	19.3118i	0.863290	+	0.627217i
$949$	−44.0362			−1.42947
$950$	1.14092	+	4.86809i	0.0370163	+	0.157942i
$951$	58.7238			1.90425
$952$	−0.583449	−	0.423901i	−0.0189097	−	0.0137387i
$953$	−12.5835	−	38.7279i	−0.407618	−	1.25452i	−0.918689	−	0.394981i	$-0.870751\pi$
$953$	−12.5835	−	38.7279i	−0.407618	−	1.25452i	0.511071	−	0.859538i	$-0.329249\pi$
$954$	1.02133	+	3.14334i	0.0330669	+	0.101769i
$955$	17.9205	+	6.66632i	0.579893	+	0.215717i
$956$	−4.93759	+	15.1963i	−0.159693	+	0.491485i
$957$	−0.0508592			−0.00164405
$958$	−0.525204	+	1.61641i	−0.0169686	+	0.0522239i
$959$	12.4563	−	9.05000i	0.402234	−	0.292240i
$960$	6.01198	−	1.67802i	0.194036	−	0.0541578i
$961$	−35.8196	−	26.0244i	−1.15547	−	0.839498i
$962$	13.0073	−	9.45035i	0.419372	−	0.304691i
$963$	−34.9283	+	25.3769i	−1.12555	+	0.817760i
$964$	−9.67701	−	7.03076i	−0.311676	−	0.226446i
$965$	30.0477	+	45.2338i	0.967269	+	1.45613i
$966$	0.208687	−	0.151620i	0.00671439	−	0.00487829i
$967$	−0.663812	+	2.04300i	−0.0213468	+	0.0656985i	−0.961162	−	0.275983i	$-0.910997\pi$
$967$	−0.663812	+	2.04300i	−0.0213468	+	0.0656985i	0.939816	+	0.341682i	$0.110997\pi$
$968$	−10.9990			−0.353522
$969$	−0.276477	+	0.850910i	−0.00888173	+	0.0273352i
$970$	−12.9400	+	3.61172i	−0.415479	+	0.115965i
$971$	−6.04710	−	18.6111i	−0.194061	−	0.597257i	−0.999986	−	0.00524043i	$-0.998332\pi$
$971$	−6.04710	−	18.6111i	−0.194061	−	0.597257i	0.805926	−	0.592017i	$-0.201668\pi$
$972$	−4.99354	−	15.3685i	−0.160168	−	0.492946i
$973$	1.07006	+	0.777447i	0.0343047	+	0.0249238i
$974$	−5.13337			−0.164484
$975$	69.0560	−	41.8056i	2.21156	−	1.33885i
$976$	−4.65868			−0.149121
$977$	−8.67613	−	6.30357i	−0.277574	−	0.201669i	0.440285	−	0.897858i	$-0.354878\pi$
$977$	−8.67613	−	6.30357i	−0.277574	−	0.201669i	−0.717858	+	0.696189i	$0.754878\pi$
$978$	−12.4548	−	38.3318i	−0.398260	−	1.22572i
$979$	−0.0391633	−	0.120532i	−0.00125166	−	0.00385223i
$980$	2.69108	−	3.39470i	0.0859634	−	0.108440i
$981$	7.37758	−	22.7059i	0.235548	−	0.724942i
$982$	3.44903			0.110063
$983$	0.348535	−	1.07268i	0.0111165	−	0.0342132i	−0.945344	−	0.326074i	$-0.894274\pi$
$983$	0.348535	−	1.07268i	0.0111165	−	0.0342132i	0.956461	+	0.291860i	$0.0942743\pi$
$984$	17.5229	−	12.7312i	0.558611	−	0.405854i
$985$	−23.8140	+	30.0404i	−0.758776	+	0.957168i
$986$	−0.150032	−	0.109005i	−0.00477800	−	0.00347142i
$987$	−55.3984	+	40.2493i	−1.76335	+	1.28115i
$988$	4.67919	−	3.39963i	0.148865	−	0.108157i
$989$	−0.0190220	−	0.0138203i	−0.000604865	−	0.000439460i
$990$	−0.0141586	+	0.337122i	−0.000449991	+	0.0107144i
$991$	−39.8093	+	28.9231i	−1.26458	+	0.918774i	−0.998973	−	0.0453062i	$-0.985574\pi$
$991$	−39.8093	+	28.9231i	−1.26458	+	0.918774i	−0.265611	+	0.964080i	$0.585574\pi$
$992$	2.68107	−	8.25150i	0.0851242	−	0.261985i
$993$	36.8391			1.16905
$994$	−0.00391479	+	0.0120485i	−0.000124170	+	0.000382155i
$995$	−10.6146	−	15.9792i	−0.336505	−	0.506575i
$996$	−6.44241	−	19.8277i	−0.204136	−	0.628265i
$997$	13.8860	+	42.7367i	0.439773	+	1.35348i	0.888115	+	0.459621i	$0.152015\pi$
$997$	13.8860	+	42.7367i	0.439773	+	1.35348i	−0.448342	+	0.893862i	$0.647985\pi$
$998$	−4.61182	−	3.35069i	−0.145985	−	0.106064i
$999$	−13.9046			−0.439922

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.c.191.10	✓	44
25.11	even	5	inner	950.2.h.c.761.10	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.c.191.10	✓	44	1.1	even	1	trivial
950.2.h.c.761.10	yes	44	25.11	even	5	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.862591 + 2.65478i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.23726 + 1.86257i) q^{5} +(0.862591 - 2.65478i) q^{6} +2.25004 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.87675 + 2.81662i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.862591 + 2.65478i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.23726 + 1.86257i) q^{5} +(0.862591 - 2.65478i) q^{6} +2.25004 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.87675 + 2.81662i) q^{9} +(0.0938288 - 2.23410i) q^{10} +(0.0254761 + 0.0185094i) q^{11} +(-2.25829 + 1.64074i) q^{12} +(-4.67919 + 3.39963i) q^{13} +(-1.82032 - 1.32254i) q^{14} +(-3.87748 + 4.89130i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.0990460 - 0.304832i) q^{17} +4.79192 q^{18} +(-0.309017 + 0.951057i) q^{19} +(-1.38908 + 1.75227i) q^{20} +(1.94086 + 5.97337i) q^{21} +(-0.00973099 - 0.0299489i) q^{22} +(0.0332263 + 0.0241403i) q^{23} +2.79140 q^{24} +(-1.93837 + 4.60898i) q^{25} +5.78380 q^{26} +(-4.04669 - 2.94009i) q^{27} +(0.695301 + 2.13992i) q^{28} +(0.178795 + 0.550274i) q^{29} +(6.01198 - 1.67802i) q^{30} +(2.68107 - 8.25150i) q^{31} +1.00000 q^{32} +(-0.0271631 + 0.0835995i) q^{33} +(-0.259306 + 0.188397i) q^{34} +(2.78389 + 4.19087i) q^{35} +(-3.87675 - 2.81662i) q^{36} +(2.24892 - 1.63393i) q^{37} +(0.809017 - 0.587785i) q^{38} +(-13.0615 - 9.48973i) q^{39} +(2.15375 - 0.601138i) q^{40} +(6.27747 - 4.56085i) q^{41} +(1.94086 - 5.97337i) q^{42} -0.572498 q^{43} +(-0.00973099 + 0.0299489i) q^{44} +(-10.0427 - 3.73584i) q^{45} +(-0.0126913 - 0.0390599i) q^{46} +(3.36906 + 10.3689i) q^{47} +(-2.25829 - 1.64074i) q^{48} -1.93731 q^{49} +(4.27727 - 2.58940i) q^{50} +0.894699 q^{51} +(-4.67919 - 3.39963i) q^{52} +(0.213136 + 0.655966i) q^{53} +(1.54570 + 4.75717i) q^{54} +(-0.00295468 + 0.0703521i) q^{55} +(0.695301 - 2.13992i) q^{56} -2.79140 q^{57} +(0.178795 - 0.550274i) q^{58} +(-8.25297 + 5.99614i) q^{59} +(-5.85011 - 2.17621i) q^{60} +(3.76895 + 2.73830i) q^{61} +(-7.01915 + 5.09971i) q^{62} +(-8.72285 + 6.33752i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-12.1214 - 4.50911i) q^{65} +(0.0711140 - 0.0516673i) q^{66} +(3.82318 - 11.7665i) q^{67} +0.320520 q^{68} +(-0.0354266 + 0.109032i) q^{69} +(0.211119 - 5.02681i) q^{70} +(-0.00173987 - 0.00535478i) q^{71} +(1.48079 + 4.55739i) q^{72} +(6.15962 + 4.47523i) q^{73} -2.77982 q^{74} +(-13.9079 - 1.17028i) q^{75} -1.00000 q^{76} +(0.0573222 + 0.0416470i) q^{77} +(4.98905 + 15.3547i) q^{78} +(-3.63717 - 11.1940i) q^{79} +(-2.09576 - 0.779611i) q^{80} +(-0.127695 + 0.393005i) q^{81} -7.75938 q^{82} +(-2.30795 + 7.10313i) q^{83} +(-5.08125 + 3.69174i) q^{84} +(0.690319 - 0.192677i) q^{85} +(0.463161 + 0.336506i) q^{86} +(-1.30663 + 0.949322i) q^{87} +(0.0254761 - 0.0185094i) q^{88} +(-3.25597 - 2.36560i) q^{89} +(5.92886 + 8.92532i) q^{90} +(-10.5284 + 7.64931i) q^{91} +(-0.0126913 + 0.0390599i) q^{92} +24.2186 q^{93} +(3.36906 - 10.3689i) q^{94} +(-2.15375 + 0.601138i) q^{95} +(0.862591 + 2.65478i) q^{96} +(-1.85662 - 5.71408i) q^{97} +(1.56732 + 1.13872i) q^{98} -0.150898 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * q^99

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