LMFDB - Embedded newform 950.2.h.b.191.6

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:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.6
Character	$\chi$	$=$	950.191
Dual form			950.2.h.b.761.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-0.0202803 - 0.0624164i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.536379 - 2.17078i) q^{5} +(-0.0202803 + 0.0624164i) q^{6} +2.69704 q^{7} +(0.309017 - 0.951057i) q^{8} +(2.42357 - 1.76082i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.0202803 - 0.0624164i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.536379 - 2.17078i) q^{5} +(-0.0202803 + 0.0624164i) q^{6} +2.69704 q^{7} +(0.309017 - 0.951057i) q^{8} +(2.42357 - 1.76082i) q^{9} +(-0.842014 + 2.07148i) q^{10} +(0.117542 + 0.0853992i) q^{11} +(0.0530946 - 0.0385755i) q^{12} +(2.21352 - 1.60822i) q^{13} +(-2.18195 - 1.58528i) q^{14} +(-0.124615 + 0.0775030i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.676100 + 2.08082i) q^{17} -2.99569 q^{18} +(0.309017 - 0.951057i) q^{19} +(1.89879 - 1.18094i) q^{20} +(-0.0546969 - 0.168340i) q^{21} +(-0.0448970 - 0.138179i) q^{22} +(1.84975 + 1.34392i) q^{23} -0.0656285 q^{24} +(-4.42459 + 2.32872i) q^{25} -2.73606 q^{26} +(-0.318339 - 0.231287i) q^{27} +(0.833431 + 2.56504i) q^{28} +(2.35132 + 7.23661i) q^{29} +(0.146370 + 0.0105453i) q^{30} +(1.71232 - 5.26998i) q^{31} +1.00000 q^{32} +(0.00294653 - 0.00906847i) q^{33} +(1.77005 - 1.28602i) q^{34} +(-1.44664 - 5.85469i) q^{35} +(2.42357 + 1.76082i) q^{36} +(5.91031 - 4.29409i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-0.145270 - 0.105545i) q^{39} +(-2.23029 - 0.160682i) q^{40} +(-6.26989 + 4.55534i) q^{41} +(-0.0546969 + 0.168340i) q^{42} +3.86509 q^{43} +(-0.0448970 + 0.138179i) q^{44} +(-5.12232 - 4.31657i) q^{45} +(-0.706540 - 2.17451i) q^{46} +(-3.96733 - 12.2102i) q^{47} +(0.0530946 + 0.0385755i) q^{48} +0.274027 q^{49} +(4.94836 + 0.716734i) q^{50} +0.143589 q^{51} +(2.21352 + 1.60822i) q^{52} +(-3.07580 - 9.46635i) q^{53} +(0.121595 + 0.374230i) q^{54} +(0.122336 - 0.300964i) q^{55} +(0.833431 - 2.56504i) q^{56} -0.0656285 q^{57} +(2.35132 - 7.23661i) q^{58} +(-8.32055 + 6.04523i) q^{59} +(-0.112218 - 0.0945657i) q^{60} +(11.3316 + 8.23291i) q^{61} +(-4.48292 + 3.25703i) q^{62} +(6.53646 - 4.74901i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.67837 - 3.94246i) q^{65} +(-0.00771410 + 0.00560462i) q^{66} +(2.39463 - 7.36992i) q^{67} -2.18791 q^{68} +(0.0463692 - 0.142710i) q^{69} +(-2.27095 + 5.58685i) q^{70} +(-3.10290 - 9.54974i) q^{71} +(-0.925720 - 2.84907i) q^{72} +(10.0859 + 7.32780i) q^{73} -7.30555 q^{74} +(0.235083 + 0.228940i) q^{75} +1.00000 q^{76} +(0.317015 + 0.230325i) q^{77} +(0.0554882 + 0.170775i) q^{78} +(-2.69105 - 8.28219i) q^{79} +(1.70989 + 1.44092i) q^{80} +(2.76918 - 8.52266i) q^{81} +7.75001 q^{82} +(0.307117 - 0.945207i) q^{83} +(0.143198 - 0.104040i) q^{84} +(4.87966 + 0.351557i) q^{85} +(-3.12692 - 2.27184i) q^{86} +(0.403998 - 0.293521i) q^{87} +(0.117542 - 0.0853992i) q^{88} +(-3.90588 - 2.83779i) q^{89} +(1.60683 + 6.50300i) q^{90} +(5.96995 - 4.33742i) q^{91} +(-0.706540 + 2.17451i) q^{92} -0.363660 q^{93} +(-3.96733 + 12.2102i) q^{94} +(-2.23029 - 0.160682i) q^{95} +(-0.0202803 - 0.0624164i) q^{96} +(-2.53975 - 7.81655i) q^{97} +(-0.221692 - 0.161069i) q^{98} +0.435244 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * 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
$3$	−0.0202803	−	0.0624164i	−0.0117089	−	0.0360361i	0.945031	−	0.326980i	$-0.106031\pi$
$3$	−0.0202803	−	0.0624164i	−0.0117089	−	0.0360361i	−0.956740	+	0.290943i	$0.906031\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.536379	−	2.17078i	−0.239876	−	0.970804i
$5$	−0.536379	−	2.17078i	−0.239876	−	0.970804i
$6$	−0.0202803	+	0.0624164i	−0.00827941	+	0.0254814i
$7$	2.69704			1.01939			0.509693	−	0.860357i	$-0.329759\pi$
$7$	2.69704			1.01939			0.509693	+	0.860357i	$0.329759\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	2.42357	−	1.76082i	0.807855	−	0.586941i
$10$	−0.842014	+	2.07148i	−0.266268	+	0.655058i
$11$	0.117542	+	0.0853992i	0.0354402	+	0.0257488i	0.605364	−	0.795948i	$-0.293027\pi$
$11$	0.117542	+	0.0853992i	0.0354402	+	0.0257488i	−0.569924	+	0.821697i	$0.693027\pi$
$12$	0.0530946	−	0.0385755i	0.0153271	−	0.0111358i
$13$	2.21352	−	1.60822i	0.613920	−	0.446039i	−0.236873	−	0.971541i	$-0.576122\pi$
$13$	2.21352	−	1.60822i	0.613920	−	0.446039i	0.850792	+	0.525502i	$0.176122\pi$
$14$	−2.18195	−	1.58528i	−0.583151	−	0.423684i
$15$	−0.124615	+	0.0775030i	−0.0321753	+	0.0200112i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−0.676100	+	2.08082i	−0.163978	+	0.504674i	−0.998960	−	0.0456049i	$-0.985478\pi$
$17$	−0.676100	+	2.08082i	−0.163978	+	0.504674i	0.834981	+	0.550279i	$0.185478\pi$
$18$	−2.99569			−0.706092
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$20$	1.89879	−	1.18094i	0.424582	−	0.264065i
$21$	−0.0546969	−	0.168340i	−0.0119358	−	0.0367347i
$22$	−0.0448970	−	0.138179i	−0.00957208	−	0.0294598i
$23$	1.84975	+	1.34392i	0.385699	+	0.280227i	0.763691	−	0.645582i	$-0.223385\pi$
$23$	1.84975	+	1.34392i	0.385699	+	0.280227i	−0.377992	+	0.925809i	$0.623385\pi$
$24$	−0.0656285			−0.0133964
$25$	−4.42459	+	2.32872i	−0.884919	+	0.465745i
$26$	−2.73606			−0.536586
$27$	−0.318339	−	0.231287i	−0.0612643	−	0.0445111i
$28$	0.833431	+	2.56504i	0.157504	+	0.484747i
$29$	2.35132	+	7.23661i	0.436628	+	1.34380i	0.891409	+	0.453200i	$0.149718\pi$
$29$	2.35132	+	7.23661i	0.436628	+	1.34380i	−0.454780	+	0.890604i	$0.650282\pi$
$30$	0.146370	+	0.0105453i	0.0267235	+	0.00192530i
$31$	1.71232	−	5.26998i	0.307542	−	0.946517i	−0.671174	−	0.741300i	$-0.734210\pi$
$31$	1.71232	−	5.26998i	0.307542	−	0.946517i	0.978716	−	0.205218i	$-0.0657902\pi$
$32$	1.00000			0.176777
$33$	0.00294653	−	0.00906847i	0.000512924	−	0.00157862i
$34$	1.77005	−	1.28602i	0.303562	−	0.220550i
$35$	−1.44664	−	5.85469i	−0.244526	−	0.989623i
$36$	2.42357	+	1.76082i	0.403928	+	0.293471i
$37$	5.91031	−	4.29409i	0.971649	−	0.705944i	0.0158222	−	0.999875i	$-0.494963\pi$
$37$	5.91031	−	4.29409i	0.971649	−	0.705944i	0.955827	+	0.293930i	$0.0949634\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	−0.145270	−	0.105545i	−0.0232618	−	0.0169007i
$40$	−2.23029	−	0.160682i	−0.352639	−	0.0254060i
$41$	−6.26989	+	4.55534i	−0.979192	+	0.711425i	−0.957528	−	0.288340i	$-0.906897\pi$
$41$	−6.26989	+	4.55534i	−0.979192	+	0.711425i	−0.0216644	+	0.999765i	$0.506897\pi$
$42$	−0.0546969	+	0.168340i	−0.00843991	+	0.0259754i
$43$	3.86509			0.589420			0.294710	−	0.955587i	$-0.404777\pi$
$43$	3.86509			0.589420			0.294710	+	0.955587i	$0.404777\pi$
$44$	−0.0448970	+	0.138179i	−0.00676848	+	0.0208312i
$45$	−5.12232	−	4.31657i	−0.763590	−	0.643476i
$46$	−0.706540	−	2.17451i	−0.104174	−	0.320614i
$47$	−3.96733	−	12.2102i	−0.578695	−	1.78104i	−0.623237	−	0.782033i	$-0.714183\pi$
$47$	−3.96733	−	12.2102i	−0.578695	−	1.78104i	0.0445425	−	0.999007i	$-0.485817\pi$
$48$	0.0530946	+	0.0385755i	0.00766354	+	0.00556789i
$49$	0.274027			0.0391467
$50$	4.94836	+	0.716734i	0.699804	+	0.101361i
$51$	0.143589			0.0201065
$52$	2.21352	+	1.60822i	0.306960	+	0.223019i
$53$	−3.07580	−	9.46635i	−0.422494	−	1.30030i	−0.905374	−	0.424616i	$-0.860409\pi$
$53$	−3.07580	−	9.46635i	−0.422494	−	1.30030i	0.482880	−	0.875687i	$-0.339591\pi$
$54$	0.121595	+	0.374230i	0.0165469	+	0.0509262i
$55$	0.122336	−	0.300964i	0.0164958	−	0.0405820i
$56$	0.833431	−	2.56504i	0.111372	−	0.342768i
$57$	−0.0656285			−0.00869271
$58$	2.35132	−	7.23661i	0.308743	−	0.950213i
$59$	−8.32055	+	6.04523i	−1.08324	+	0.787022i	−0.978246	−	0.207450i	$-0.933483\pi$
$59$	−8.32055	+	6.04523i	−1.08324	+	0.787022i	−0.104998	+	0.994472i	$0.533483\pi$
$60$	−0.112218	−	0.0945657i	−0.0144873	−	0.0122084i
$61$	11.3316	+	8.23291i	1.45087	+	1.05412i	0.985628	+	0.168932i	$0.0540318\pi$
$61$	11.3316	+	8.23291i	1.45087	+	1.05412i	0.465239	+	0.885185i	$0.345968\pi$
$62$	−4.48292	+	3.25703i	−0.569331	+	0.413643i
$63$	6.53646	−	4.74901i	0.823516	−	0.598319i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−4.67837	−	3.94246i	−0.580281	−	0.489001i
$66$	−0.00771410	+	0.00560462i	−0.000949541	+	0.000689882i
$67$	2.39463	−	7.36992i	0.292551	−	0.900378i	−0.691482	−	0.722393i	$-0.743042\pi$
$67$	2.39463	−	7.36992i	0.292551	−	0.900378i	0.984033	−	0.177985i	$-0.0569579\pi$
$68$	−2.18791			−0.265323
$69$	0.0463692	−	0.142710i	0.00558219	−	0.0171802i
$70$	−2.27095	+	5.58685i	−0.271430	+	0.667757i
$71$	−3.10290	−	9.54974i	−0.368246	−	1.13335i	−0.947923	−	0.318499i	$-0.896821\pi$
$71$	−3.10290	−	9.54974i	−0.368246	−	1.13335i	0.579677	−	0.814847i	$-0.303179\pi$
$72$	−0.925720	−	2.84907i	−0.109097	−	0.335767i
$73$	10.0859	+	7.32780i	1.18046	+	0.857654i	0.992223	−	0.124469i	$-0.0397229\pi$
$73$	10.0859	+	7.32780i	1.18046	+	0.857654i	0.188237	+	0.982124i	$0.439723\pi$
$74$	−7.30555			−0.849252
$75$	0.235083	+	0.228940i	0.0271450	+	0.0264357i
$76$	1.00000			0.114708
$77$	0.317015	+	0.230325i	0.0361273	+	0.0262480i
$78$	0.0554882	+	0.170775i	0.00628280	+	0.0193365i
$79$	−2.69105	−	8.28219i	−0.302766	−	0.931819i	−0.980501	−	0.196513i	$-0.937038\pi$
$79$	−2.69105	−	8.28219i	−0.302766	−	0.931819i	0.677735	−	0.735306i	$-0.262962\pi$
$80$	1.70989	+	1.44092i	0.191172	+	0.161100i
$81$	2.76918	−	8.52266i	0.307687	−	0.946962i
$82$	7.75001			0.855846
$83$	0.307117	−	0.945207i	0.0337104	−	0.103750i	−0.932786	−	0.360432i	$-0.882629\pi$
$83$	0.307117	−	0.945207i	0.0337104	−	0.103750i	0.966496	+	0.256682i	$0.0826293\pi$
$84$	0.143198	−	0.104040i	0.0156242	−	0.0113517i
$85$	4.87966	+	0.351557i	0.529273	+	0.0381317i
$86$	−3.12692	−	2.27184i	−0.337185	−	0.244979i
$87$	0.403998	−	0.293521i	0.0433131	−	0.0314688i
$88$	0.117542	−	0.0853992i	0.0125300	−	0.00910359i
$89$	−3.90588	−	2.83779i	−0.414023	−	0.300805i	0.361206	−	0.932486i	$-0.382365\pi$
$89$	−3.90588	−	2.83779i	−0.414023	−	0.300805i	−0.775228	+	0.631681i	$0.782365\pi$
$90$	1.60683	+	6.50300i	0.169374	+	0.685476i
$91$	5.96995	−	4.33742i	0.625821	−	0.454686i
$92$	−0.706540	+	2.17451i	−0.0736619	+	0.226708i
$93$	−0.363660			−0.0377098
$94$	−3.96733	+	12.2102i	−0.409199	+	1.25939i
$95$	−2.23029	−	0.160682i	−0.228823	−	0.0164856i
$96$	−0.0202803	−	0.0624164i	−0.00206985	−	0.00637035i
$97$	−2.53975	−	7.81655i	−0.257873	−	0.793651i	−0.993250	−	0.115993i	$-0.962995\pi$
$97$	−2.53975	−	7.81655i	−0.257873	−	0.793651i	0.735377	−	0.677658i	$-0.237005\pi$
$98$	−0.221692	−	0.161069i	−0.0223943	−	0.0162704i
$99$	0.435244			0.0437436
$100$	−3.58202	−	3.48842i	−0.358202	−	0.348842i
$101$	−0.772513			−0.0768679			−0.0384340	−	0.999261i	$-0.512237\pi$
$101$	−0.772513			−0.0768679			−0.0384340	+	0.999261i	$0.512237\pi$
$102$	−0.116166	−	0.0843995i	−0.0115021	−	0.00835680i
$103$	4.81882	+	14.8308i	0.474813	+	1.46132i	0.846210	+	0.532849i	$0.178879\pi$
$103$	4.81882	+	14.8308i	0.474813	+	1.46132i	−0.371398	+	0.928474i	$0.621121\pi$
$104$	−0.845489	−	2.60215i	−0.0829070	−	0.255162i
$105$	−0.336090	+	0.209029i	−0.0327991	+	0.0203991i
$106$	−3.07580	+	9.46635i	−0.298748	+	0.919453i
$107$	7.20176			0.696221			0.348110	−	0.937454i	$-0.386823\pi$
$107$	7.20176			0.696221			0.348110	+	0.937454i	$0.386823\pi$
$108$	0.121595	−	0.374230i	0.0117004	−	0.0360103i
$109$	−12.6870	+	9.21762i	−1.21519	+	0.882888i	−0.995692	−	0.0927245i	$-0.970442\pi$
$109$	−12.6870	+	9.21762i	−1.21519	+	0.882888i	−0.219499	+	0.975613i	$0.570442\pi$
$110$	−0.275874	+	0.171578i	−0.0263036	+	0.0163593i
$111$	−0.387885	−	0.281815i	−0.0368164	−	0.0267487i
$112$	−2.18195	+	1.58528i	−0.206175	+	0.149795i
$113$	−8.46030	+	6.14676i	−0.795878	+	0.578239i	−0.909702	−	0.415262i	$-0.863690\pi$
$113$	−8.46030	+	6.14676i	−0.795878	+	0.578239i	0.113824	+	0.993501i	$0.463690\pi$
$114$	0.0530946	+	0.0385755i	0.00497276	+	0.00361292i
$115$	1.92519	−	4.73625i	0.179525	−	0.441657i
$116$	−6.15582	+	4.47247i	−0.571554	+	0.415258i
$117$	2.53283	−	7.79524i	0.234160	−	0.720670i
$118$	10.2848			0.946789
$119$	−1.82347	+	5.61206i	−0.167157	+	0.514457i
$120$	0.0352018	+	0.142465i	0.00321347	+	0.0130052i
$121$	−3.39266	−	10.4415i	−0.308424	−	0.949231i
$122$	−4.32830	−	13.3211i	−0.391866	−	1.20604i
$123$	0.411484	+	0.298960i	0.0371022	+	0.0269563i
$124$	5.54119			0.497613
$125$	7.42842	+	8.35575i	0.664418	+	0.747361i
$126$	−8.07950			−0.719779
$127$	−10.4312	−	7.57874i	−0.925623	−	0.672504i	0.0192944	−	0.999814i	$-0.493858\pi$
$127$	−10.4312	−	7.57874i	−0.925623	−	0.672504i	−0.944917	+	0.327310i	$0.893858\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−0.0783852	−	0.241245i	−0.00690144	−	0.0212404i
$130$	1.46757	+	5.93939i	0.128714	+	0.520919i
$131$	−3.04736	+	9.37881i	−0.266249	+	0.819431i	0.725154	+	0.688587i	$0.241769\pi$
$131$	−3.04736	+	9.37881i	−0.266249	+	0.819431i	−0.991403	+	0.130844i	$0.958231\pi$
$132$	0.00953516			0.000829929
$133$	0.833431	−	2.56504i	0.0722677	−	0.222417i
$134$	−6.26922	+	4.55486i	−0.541579	+	0.393480i
$135$	−0.331323	+	0.815102i	−0.0285157	+	0.0701528i
$136$	1.77005	+	1.28602i	0.151781	+	0.110275i
$137$	16.7289	−	12.1543i	1.42925	−	1.03841i	0.439093	−	0.898442i	$-0.355300\pi$
$137$	16.7289	−	12.1543i	1.42925	−	1.03841i	0.990156	−	0.139968i	$-0.0447001\pi$
$138$	−0.121396	+	0.0881994i	−0.0103339	+	0.00750804i
$139$	7.44065	+	5.40595i	0.631108	+	0.458527i	0.856784	−	0.515676i	$-0.172459\pi$
$139$	7.44065	+	5.40595i	0.631108	+	0.458527i	−0.225676	+	0.974202i	$0.572459\pi$
$140$	5.12110	−	3.18503i	0.432812	−	0.269184i
$141$	−0.681658	+	0.495254i	−0.0574060	+	0.0417079i
$142$	−3.10290	+	9.54974i	−0.260390	+	0.801397i
$143$	0.397522			0.0332424
$144$	−0.925720	+	2.84907i	−0.0771433	+	0.237423i
$145$	14.4479	−	8.98576i	1.19983	−	0.746227i
$146$	−3.85245	−	11.8566i	−0.318831	−	0.981262i
$147$	−0.00555735	−	0.0171038i	−0.000458363	−	0.00141069i
$148$	5.91031	+	4.29409i	0.485825	+	0.352972i
$149$	0.0468128			0.00383505			0.00191753	−	0.999998i	$-0.499390\pi$
$149$	0.0468128			0.00383505			0.00191753	+	0.999998i	$0.499390\pi$
$150$	−0.0556184	−	0.323395i	−0.00454123	−	0.0264051i
$151$	−19.7378			−1.60624			−0.803120	−	0.595817i	$-0.796828\pi$
$151$	−19.7378			−1.60624			−0.803120	+	0.595817i	$0.796828\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	2.02539	+	6.23351i	0.163743	+	0.503949i
$154$	−0.121089	−	0.372674i	−0.00975764	−	0.0300309i
$155$	−12.3584	−	0.890369i	−0.992654	−	0.0715162i
$156$	0.0554882	−	0.170775i	0.00444261	−	0.0136730i
$157$	−2.96667			−0.236766			−0.118383	−	0.992968i	$-0.537771\pi$
$157$	−2.96667			−0.236766			−0.118383	+	0.992968i	$0.537771\pi$
$158$	−2.69105	+	8.28219i	−0.214088	+	0.658896i
$159$	−0.528477	+	0.383961i	−0.0419110	+	0.0304501i
$160$	−0.536379	−	2.17078i	−0.0424045	−	0.171615i
$161$	4.98884	+	3.62461i	0.393176	+	0.285659i
$162$	−7.24981	+	5.26729i	−0.569599	+	0.413838i
$163$	−3.53122	+	2.56559i	−0.276587	+	0.200952i	−0.717427	−	0.696633i	$-0.754680\pi$
$163$	−3.53122	+	2.56559i	−0.276587	+	0.200952i	0.440840	+	0.897585i	$0.354680\pi$
$164$	−6.26989	−	4.55534i	−0.489596	−	0.355712i
$165$	−0.0212661	−	0.00153213i	−0.00165557	−	0.000119276i
$166$	−0.804041	+	0.584170i	−0.0624057	+	0.0453404i
$167$	−1.66555	+	5.12603i	−0.128884	+	0.396664i	−0.994589	−	0.103891i	$-0.966871\pi$
$167$	−1.66555	+	5.12603i	−0.128884	+	0.396664i	0.865705	+	0.500555i	$0.166871\pi$
$168$	−0.177003			−0.0136561
$169$	−1.70391	+	5.24410i	−0.131070	+	0.403392i
$170$	−3.74109	−	3.15261i	−0.286928	−	0.241794i
$171$	−0.925720	−	2.84907i	−0.0707916	−	0.217874i
$172$	1.19438	+	3.67592i	0.0910705	+	0.280286i
$173$	11.0405	+	8.02138i	0.839392	+	0.609854i	0.922201	−	0.386711i	$-0.126389\pi$
$173$	11.0405	+	8.02138i	0.839392	+	0.609854i	−0.0828086	+	0.996565i	$0.526389\pi$
$174$	−0.499368			−0.0378570
$175$	−11.9333	+	6.28066i	−0.902074	+	0.474774i
$176$	−0.145290			−0.0109516
$177$	0.546065	+	0.396740i	0.0410448	+	0.0298208i
$178$	1.49191	+	4.59164i	0.111824	+	0.344158i
$179$	3.37318	+	10.3816i	0.252123	+	0.775956i	0.994383	+	0.105843i	$0.0337542\pi$
$179$	3.37318	+	10.3816i	0.252123	+	0.775956i	−0.742259	+	0.670113i	$0.766246\pi$
$180$	2.52242	−	6.20551i	0.188010	−	0.462531i
$181$	−5.44138	+	16.7468i	−0.404455	+	1.24478i	0.516895	+	0.856049i	$0.327088\pi$
$181$	−5.44138	+	16.7468i	−0.404455	+	1.24478i	−0.921350	+	0.388735i	$0.872912\pi$
$182$	−7.37927			−0.546988
$183$	0.284060	−	0.874246i	0.0209983	−	0.0646261i
$184$	1.84975	−	1.34392i	0.136365	−	0.0990751i
$185$	−12.4917	−	10.5267i	−0.918409	−	0.773941i
$186$	0.294207	+	0.213754i	0.0215723	+	0.0156732i
$187$	−0.257171	+	0.186846i	−0.0188062	+	0.0136635i
$188$	10.3866	−	7.54632i	0.757522	−	0.550372i
$189$	−0.858573	−	0.623790i	−0.0624520	−	0.0453740i
$190$	1.70989	+	1.44092i	0.124049	+	0.104536i
$191$	4.27169	−	3.10356i	0.309088	−	0.224566i	−0.422417	−	0.906402i	$-0.638818\pi$
$191$	4.27169	−	3.10356i	0.309088	−	0.224566i	0.731505	+	0.681836i	$0.238818\pi$
$192$	−0.0202803	+	0.0624164i	−0.00146361	+	0.00450452i
$193$	3.32747			0.239516			0.119758	−	0.992803i	$-0.461788\pi$
$193$	3.32747			0.239516			0.119758	+	0.992803i	$0.461788\pi$
$194$	−2.53975	+	7.81655i	−0.182344	+	0.561196i
$195$	−0.151195	+	0.371962i	−0.0108273	+	0.0266367i
$196$	0.0846789	+	0.260615i	0.00604849	+	0.0186153i
$197$	−0.329380	−	1.01373i	−0.0234673	−	0.0722251i	0.938637	−	0.344907i	$-0.112089\pi$
$197$	−0.329380	−	1.01373i	−0.0234673	−	0.0722251i	−0.962104	+	0.272682i	$0.912089\pi$
$198$	−0.352120	−	0.255830i	−0.0250241	−	0.0181810i
$199$	22.9668			1.62807			0.814036	−	0.580814i	$-0.197266\pi$
$199$	22.9668			1.62807			0.814036	+	0.580814i	$0.197266\pi$
$200$	0.847474	+	4.92766i	0.0599255	+	0.348438i
$201$	−0.508568			−0.0358716
$202$	0.624976	+	0.454072i	0.0439732	+	0.0319484i
$203$	6.34159	+	19.5174i	0.445093	+	1.36985i
$204$	0.0443715	+	0.136561i	0.00310662	+	0.00956120i
$205$	13.2517	+	11.1672i	0.925539	+	0.779950i
$206$	4.81882	−	14.8308i	0.335743	−	1.03331i
$207$	6.84939			0.476066
$208$	−0.845489	+	2.60215i	−0.0586241	+	0.180427i
$209$	0.117542	−	0.0853992i	0.00813055	−	0.00590719i
$210$	0.394767	+	0.0284411i	0.0272415	+	0.00196263i
$211$	−3.95410	−	2.87282i	−0.272212	−	0.197773i	0.443302	−	0.896373i	$-0.353807\pi$
$211$	−3.95410	−	2.87282i	−0.272212	−	0.197773i	−0.715513	+	0.698599i	$0.753807\pi$
$212$	8.05256	−	5.85052i	0.553052	−	0.401816i
$213$	−0.533133	+	0.387344i	−0.0365297	+	0.0265404i
$214$	−5.82635	−	4.23309i	−0.398281	−	0.289368i
$215$	−2.07315	−	8.39027i	−0.141388	−	0.572211i
$216$	−0.318339	+	0.231287i	−0.0216602	+	0.0157371i
$217$	4.61820	−	14.2134i	0.313504	−	0.964866i
$218$	15.6820			1.06212
$219$	0.252831	−	0.778133i	0.0170847	−	0.0525814i
$220$	0.324038	+	0.0233455i	0.0218466	+	0.00157395i
$221$	1.84985	+	5.69326i	0.124434	+	0.382970i
$222$	0.148159	+	0.455986i	0.00994377	+	0.0306038i
$223$	0.789492	+	0.573600i	0.0528683	+	0.0384111i	0.613906	−	0.789379i	$-0.289598\pi$
$223$	0.789492	+	0.573600i	0.0528683	+	0.0384111i	−0.561037	+	0.827791i	$0.689598\pi$
$224$	2.69704			0.180204
$225$	−6.62283	+	13.4348i	−0.441522	+	0.895650i
$226$	10.4575			0.695623
$227$	0.869830	+	0.631969i	0.0577327	+	0.0419452i	0.616277	−	0.787529i	$-0.288640\pi$
$227$	0.869830	+	0.631969i	0.0577327	+	0.0419452i	−0.558545	+	0.829474i	$0.688640\pi$
$228$	−0.0202803	−	0.0624164i	−0.00134310	−	0.00413363i
$229$	3.91625	+	12.0530i	0.258793	+	0.796483i	0.993059	+	0.117621i	$0.0375267\pi$
$229$	3.91625	+	12.0530i	0.258793	+	0.796483i	−0.734266	+	0.678862i	$0.762473\pi$
$230$	−4.34141	+	2.70011i	−0.286264	+	0.178040i
$231$	0.00794690	−	0.0244580i	0.000522868	−	0.00160922i
$232$	7.60902			0.499556
$233$	−4.28663	+	13.1929i	−0.280827	+	0.864296i	0.706792	+	0.707421i	$0.250142\pi$
$233$	−4.28663	+	13.1929i	−0.280827	+	0.864296i	−0.987619	+	0.156874i	$0.949858\pi$
$234$	−6.63102	+	4.81772i	−0.433484	+	0.314944i
$235$	−24.3777	+	15.1615i	−1.59022	+	0.989028i
$236$	−8.32055	−	6.04523i	−0.541622	−	0.393511i
$237$	−0.462370	+	0.335931i	−0.0300341	+	0.0218211i
$238$	4.77391	−	3.46845i	0.309446	−	0.224826i
$239$	1.62838	+	1.18309i	0.105331	+	0.0765276i	0.639204	−	0.769037i	$-0.279264\pi$
$239$	1.62838	+	1.18309i	0.105331	+	0.0765276i	−0.533873	+	0.845565i	$0.679264\pi$
$240$	0.0552601	−	0.135948i	0.00356703	−	0.00877540i
$241$	2.00932	−	1.45986i	0.129432	−	0.0940376i	−0.521186	−	0.853443i	$-0.674510\pi$
$241$	2.00932	−	1.45986i	0.129432	−	0.0940376i	0.650617	+	0.759406i	$0.274510\pi$
$242$	−3.39266	+	10.4415i	−0.218089	+	0.671208i
$243$	−1.76858			−0.113454
$244$	−4.32830	+	13.3211i	−0.277091	+	0.852798i
$245$	−0.146982	−	0.594852i	−0.00939035	−	0.0380037i
$246$	−0.157173	−	0.483728i	−0.0100210	−	0.0308414i
$247$	−0.845489	−	2.60215i	−0.0537972	−	0.165571i
$248$	−4.48292	−	3.25703i	−0.284665	−	0.206822i
$249$	−0.0652249			−0.00413346
$250$	−1.09833	−	11.1263i	−0.0694642	−	0.703687i
$251$	−24.3516			−1.53706			−0.768530	−	0.639814i	$-0.779011\pi$
$251$	−24.3516			−1.53706			−0.768530	+	0.639814i	$0.779011\pi$
$252$	6.53646	+	4.74901i	0.411758	+	0.299160i
$253$	0.102653	+	0.315934i	0.00645375	+	0.0198626i
$254$	3.98438	+	12.2627i	0.250002	+	0.769427i
$255$	−0.0770182	−	0.311701i	−0.00482306	−	0.0195194i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	27.1233			1.69191			0.845953	−	0.533257i	$-0.179032\pi$
$257$	27.1233			1.69191			0.845953	+	0.533257i	$0.179032\pi$
$258$	−0.0783852	+	0.241245i	−0.00488005	+	0.0150193i
$259$	15.9403	−	11.5813i	0.990485	−	0.719629i
$260$	2.30380	−	5.66768i	0.142876	−	0.351495i
$261$	18.4410	+	13.3981i	1.14147	+	0.829324i
$262$	7.97810	−	5.79643i	0.492888	−	0.358104i
$263$	−5.61912	+	4.08253i	−0.346490	+	0.251740i	−0.747395	−	0.664380i	$-0.768696\pi$
$263$	−5.61912	+	4.08253i	−0.346490	+	0.251740i	0.400905	+	0.916120i	$0.368696\pi$
$264$	−0.00771410	−	0.00560462i	−0.000474770	−	0.000344941i
$265$	−18.8996	+	11.7544i	−1.16099	+	0.722070i
$266$	−2.18195	+	1.58528i	−0.133784	+	0.0971998i
$267$	−0.0979122	+	0.301343i	−0.00599213	+	0.0184419i
$268$	7.74919			0.473357
$269$	−8.54514	+	26.2992i	−0.521007	+	1.60349i	0.251073	+	0.967968i	$0.419216\pi$
$269$	−8.54514	+	26.2992i	−0.521007	+	1.60349i	−0.772080	+	0.635525i	$0.780784\pi$
$270$	0.747151	−	0.464684i	0.0454701	−	0.0282798i
$271$	5.29739	+	16.3037i	0.321793	+	0.990378i	0.972867	+	0.231364i	$0.0743188\pi$
$271$	5.29739	+	16.3037i	0.321793	+	0.990378i	−0.651074	+	0.759014i	$0.725681\pi$
$272$	−0.676100	−	2.08082i	−0.0409946	−	0.126168i
$273$	−0.391799	−	0.284659i	−0.0237128	−	0.0172283i
$274$	−20.6781			−1.24921
$275$	−0.718947	−	0.104134i	−0.0433541	−	0.00627953i
$276$	0.150054			0.00903218
$277$	6.07836	+	4.41619i	0.365213	+	0.265343i	0.755223	−	0.655468i	$-0.227528\pi$
$277$	6.07836	+	4.41619i	0.365213	+	0.265343i	−0.390010	+	0.920811i	$0.627528\pi$
$278$	−2.84208	−	8.74701i	−0.170456	−	0.524611i
$279$	−5.12959	−	15.7873i	−0.307100	−	0.945158i
$280$	−6.01517	−	0.433366i	−0.359475	−	0.0258986i
$281$	−2.08316	+	6.41129i	−0.124271	+	0.382466i	−0.993767	−	0.111473i	$-0.964443\pi$
$281$	−2.08316	+	6.41129i	−0.124271	+	0.382466i	0.869497	+	0.493938i	$0.164443\pi$
$282$	0.842576			0.0501746
$283$	−10.0263	+	30.8579i	−0.596005	+	1.83431i	−0.0463434	+	0.998926i	$0.514757\pi$
$283$	−10.0263	+	30.8579i	−0.596005	+	1.83431i	−0.549661	+	0.835388i	$0.685243\pi$
$284$	8.12350	−	5.90207i	0.482041	−	0.350223i
$285$	0.0352018	+	0.142465i	0.00208517	+	0.00843891i
$286$	−0.321602	−	0.233657i	−0.0190167	−	0.0138165i
$287$	−16.9101	+	12.2859i	−0.998174	+	0.725216i
$288$	2.42357	−	1.76082i	0.142810	−	0.103758i
$289$	9.88058	+	7.17866i	0.581210	+	0.422274i
$290$	−16.9703	−	1.22263i	−0.996530	−	0.0717954i
$291$	−0.436374	+	0.317044i	−0.0255807	+	0.0185855i
$292$	−3.85245	+	11.8566i	−0.225448	+	0.693857i
$293$	24.8139			1.44964			0.724821	−	0.688938i	$-0.241923\pi$
$293$	24.8139			1.44964			0.724821	+	0.688938i	$0.241923\pi$
$294$	−0.00555735	+	0.0171038i	−0.000324111	+	0.000997512i
$295$	17.5859	+	14.8196i	1.02389	+	0.862829i
$296$	−2.25754	−	6.94799i	−0.131217	−	0.403844i
$297$	−0.0176665	−	0.0543718i	−0.00102511	−	0.00315497i
$298$	−0.0378723	−	0.0275159i	−0.00219388	−	0.00159395i
$299$	6.25576			0.361780
$300$	−0.145090	+	0.294324i	−0.00837680	+	0.0169928i
$301$	10.4243			0.600847
$302$	15.9682	+	11.6016i	0.918868	+	0.667597i
$303$	0.0156668	+	0.0482175i	0.000900035	+	0.00277002i
$304$	0.309017	+	0.951057i	0.0177233	+	0.0545468i
$305$	11.7938	−	29.0145i	0.675312	−	1.66136i
$306$	2.02539	−	6.23351i	0.115784	−	0.356346i
$307$	−23.1067			−1.31877			−0.659384	−	0.751807i	$-0.729183\pi$
$307$	−23.1067			−1.31877			−0.659384	+	0.751807i	$0.729183\pi$
$308$	−0.121089	+	0.372674i	−0.00689969	+	0.0212351i
$309$	0.827959	−	0.601547i	0.0471009	−	0.0342208i
$310$	9.47484	+	7.98443i	0.538135	+	0.453485i
$311$	−10.9711	−	7.97101i	−0.622117	−	0.451994i	0.231543	−	0.972825i	$-0.425622\pi$
$311$	−10.9711	−	7.97101i	−0.622117	−	0.451994i	−0.853660	+	0.520830i	$0.825622\pi$
$312$	−0.145270	+	0.105545i	−0.00822429	+	0.00597530i
$313$	16.1520	−	11.7351i	0.912967	−	0.663309i	−0.0287967	−	0.999585i	$-0.509168\pi$
$313$	16.1520	−	11.7351i	0.912967	−	0.663309i	0.941763	+	0.336276i	$0.109168\pi$
$314$	2.40008	+	1.74376i	0.135445	+	0.0984062i
$315$	−13.8151	−	11.6420i	−0.778392	−	0.655950i
$316$	7.04525	−	5.11868i	0.396326	−	0.287948i
$317$	−7.82425	+	24.0806i	−0.439453	+	1.35250i	0.449000	+	0.893532i	$0.351780\pi$
$317$	−7.82425	+	24.0806i	−0.439453	+	1.35250i	−0.888453	+	0.458967i	$0.848220\pi$
$318$	0.653234			0.0366315
$319$	−0.341622	+	1.05141i	−0.0191272	+	0.0588674i
$320$	−0.842014	+	2.07148i	−0.0470700	+	0.115799i
$321$	−0.146054	−	0.449508i	−0.00815195	−	0.0250891i
$322$	−1.90557	−	5.86473i	−0.106193	−	0.326829i
$323$	1.77005	+	1.28602i	0.0984884	+	0.0715560i
$324$	8.96125			0.497847
$325$	−6.04883	+	12.2704i	−0.335529	+	0.680638i
$326$	4.36483			0.241746
$327$	0.832627	+	0.604939i	0.0460444	+	0.0334532i
$328$	2.39489	+	7.37070i	0.132235	+	0.406979i
$329$	−10.7001	−	32.9314i	−0.589913	−	1.81557i
$330$	0.0163041	+	0.0137394i	0.000897512	+	0.000756331i
$331$	1.81039	−	5.57181i	0.0995081	−	0.306255i	−0.888894	−	0.458113i	$-0.848526\pi$
$331$	1.81039	−	5.57181i	0.0995081	−	0.306255i	0.988402	+	0.151858i	$0.0485257\pi$
$332$	0.993850			0.0545446
$333$	6.76289	−	20.8140i	0.370604	−	1.14060i
$334$	4.36046	−	3.16806i	0.238594	−	0.173348i
$335$	−17.2829	−	1.24515i	−0.944267	−	0.0680301i
$336$	0.143198	+	0.104040i	0.00781210	+	0.00567583i
$337$	−5.52564	+	4.01462i	−0.301001	+	0.218690i	−0.728026	−	0.685550i	$-0.759562\pi$
$337$	−5.52564	+	4.01462i	−0.301001	+	0.218690i	0.427025	+	0.904240i	$0.359562\pi$
$338$	4.46090	−	3.24103i	0.242641	−	0.176289i
$339$	0.555237	+	0.403403i	0.0301563	+	0.0219098i
$340$	1.17355	+	4.74947i	0.0636445	+	0.257576i
$341$	0.651322	−	0.473213i	0.0352711	−	0.0256259i
$342$	−0.925720	+	2.84907i	−0.0500572	+	0.154060i
$343$	−18.1402			−0.979480
$344$	1.19438	−	3.67592i	0.0643965	−	0.198192i
$345$	−0.334663	−	0.0241109i	−0.0180177	−	0.00129809i
$346$	−4.21709	−	12.9789i	−0.226712	−	0.697748i
$347$	−6.30344	−	19.4000i	−0.338386	−	1.04145i	−0.965030	−	0.262140i	$-0.915572\pi$
$347$	−6.30344	−	19.4000i	−0.338386	−	1.04145i	0.626643	−	0.779306i	$-0.284428\pi$
$348$	0.403998	+	0.293521i	0.0216565	+	0.0157344i
$349$	16.0192			0.857488			0.428744	−	0.903426i	$-0.358956\pi$
$349$	16.0192			0.857488			0.428744	+	0.903426i	$0.358956\pi$
$350$	13.3459	+	1.93306i	0.713370	+	0.103326i
$351$	−1.07661			−0.0574651
$352$	0.117542	+	0.0853992i	0.00626501	+	0.00455179i
$353$	−9.54971	−	29.3910i	−0.508280	−	1.56432i	−0.795186	−	0.606366i	$-0.792627\pi$
$353$	−9.54971	−	29.3910i	−0.508280	−	1.56432i	0.286906	−	0.957959i	$-0.407373\pi$
$354$	−0.208578	−	0.641938i	−0.0110858	−	0.0341186i
$355$	−19.0661	+	11.8580i	−1.01192	+	0.629357i
$356$	1.49191	−	4.59164i	0.0790713	−	0.243357i
$357$	0.387265			0.0204963
$358$	3.37318	−	10.3816i	0.178278	−	0.548684i
$359$	10.0051	−	7.26916i	0.528051	−	0.383652i	−0.291577	−	0.956547i	$-0.594180\pi$
$359$	10.0051	−	7.26916i	0.528051	−	0.383652i	0.819628	+	0.572896i	$0.194180\pi$
$360$	−5.68818	+	3.53772i	−0.299794	+	0.186454i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	14.2457	−	10.3501i	0.748738	−	0.543990i
$363$	−0.582920	+	0.423516i	−0.0305953	+	0.0222288i
$364$	5.96995	+	4.33742i	0.312910	+	0.227343i
$365$	10.4972	−	25.8247i	0.549450	−	1.35173i
$366$	−0.743678	+	0.540314i	−0.0388727	+	0.0282427i
$367$	2.71700	−	8.36206i	0.141826	−	0.436496i	−0.854763	−	0.519018i	$-0.826298\pi$
$367$	2.71700	−	8.36206i	0.141826	−	0.436496i	0.996589	+	0.0825224i	$0.0262976\pi$
$368$	−2.28641			−0.119187
$369$	−7.17434	+	22.0803i	−0.373481	+	1.14946i
$370$	3.91854	+	15.8588i	0.203715	+	0.824457i
$371$	−8.29556	−	25.5311i	−0.430684	−	1.32551i
$372$	−0.112377	−	0.345861i	−0.00582648	−	0.0179321i
$373$	15.2182	+	11.0567i	0.787968	+	0.572493i	0.907360	−	0.420355i	$-0.138094\pi$
$373$	15.2182	+	11.0567i	0.787968	+	0.572493i	−0.119391	+	0.992847i	$0.538094\pi$
$374$	0.317881			0.0164372
$375$	0.370886	−	0.633113i	0.0191525	−	0.0326938i
$376$	−12.8386			−0.662098
$377$	16.8427	+	12.2369i	0.867443	+	0.630235i
$378$	0.327946	+	1.00931i	0.0168677	+	0.0519134i
$379$	1.15508	+	3.55498i	0.0593327	+	0.182607i	0.976330	−	0.216286i	$-0.0693944\pi$
$379$	1.15508	+	3.55498i	0.0593327	+	0.182607i	−0.916997	+	0.398893i	$0.869394\pi$
$380$	−0.536379	−	2.17078i	−0.0275157	−	0.111359i
$381$	−0.261489	+	0.804780i	−0.0133965	+	0.0412301i
$382$	−5.28009			−0.270153
$383$	0.838422	−	2.58040i	0.0428414	−	0.131852i	−0.927348	−	0.374200i	$-0.877917\pi$
$383$	0.838422	−	2.58040i	0.0428414	−	0.131852i	0.970189	+	0.242348i	$0.0779174\pi$
$384$	0.0530946	−	0.0385755i	0.00270947	−	0.00196855i
$385$	0.329945	−	0.811713i	0.0168156	−	0.0413687i
$386$	−2.69198	−	1.95584i	−0.137018	−	0.0995495i
$387$	9.36730	−	6.80574i	0.476166	−	0.345955i
$388$	6.64916	−	4.83090i	0.337560	−	0.245252i
$389$	24.7381	+	17.9732i	1.25427	+	0.911280i	0.998462	−	0.0554480i	$-0.0176587\pi$
$389$	24.7381	+	17.9732i	1.25427	+	0.911280i	0.255807	+	0.966728i	$0.417659\pi$
$390$	0.340953	−	0.212053i	0.0172648	−	0.0107377i
$391$	−4.04707	+	2.94037i	−0.204669	+	0.148701i
$392$	0.0846789	−	0.260615i	0.00427693	−	0.0131630i
$393$	0.647193			0.0326466
$394$	−0.329380	+	1.01373i	−0.0165939	+	0.0510708i
$395$	−16.5354	+	10.2841i	−0.831987	+	0.517448i
$396$	0.134498	+	0.413941i	0.00675877	+	0.0208013i
$397$	−5.62065	−	17.2986i	−0.282092	−	0.868191i	−0.987255	−	0.159146i	$-0.949126\pi$
$397$	−5.62065	−	17.2986i	−0.282092	−	0.868191i	0.705163	−	0.709046i	$-0.250874\pi$
$398$	−18.5805	−	13.4995i	−0.931357	−	0.676671i
$399$	−0.177003			−0.00886122
$400$	2.21078	−	4.48469i	0.110539	−	0.224234i
$401$	−28.8442			−1.44041			−0.720206	−	0.693761i	$-0.755953\pi$
$401$	−28.8442			−1.44041			−0.720206	+	0.693761i	$0.755953\pi$
$402$	0.411440	+	0.298929i	0.0205208	+	0.0149092i
$403$	−4.68501	−	14.4190i	−0.233377	−	0.718261i
$404$	−0.238720	−	0.734704i	−0.0118768	−	0.0365529i
$405$	−19.9862	−	1.43991i	−0.993121	−	0.0715498i
$406$	6.34159	−	19.5174i	0.314728	−	0.968633i
$407$	1.06142			0.0526127
$408$	0.0443715	−	0.136561i	0.00219671	−	0.00676079i
$409$	−9.61296	+	6.98422i	−0.475330	+	0.345348i	−0.799515	−	0.600646i	$-0.794910\pi$
$409$	−9.61296	+	6.98422i	−0.475330	+	0.345348i	0.324185	+	0.945994i	$0.394910\pi$
$410$	−4.15694	−	16.8236i	−0.205297	−	0.830858i
$411$	−1.09789	−	0.797667i	−0.0541551	−	0.0393460i
$412$	−12.6158	+	9.16594i	−0.621538	+	0.451574i
$413$	−22.4409	+	16.3042i	−1.10424	+	0.802279i
$414$	−5.54127	−	4.02597i	−0.272339	−	0.197866i
$415$	−2.21657	−	0.159694i	−0.108807	−	0.00783906i
$416$	2.21352	−	1.60822i	0.108527	−	0.0788493i
$417$	0.186521	−	0.574053i	0.00913398	−	0.0281115i
$418$	−0.145290			−0.00710636
$419$	3.80877	−	11.7222i	0.186071	−	0.572667i	−0.813894	−	0.581013i	$-0.802657\pi$
$419$	3.80877	−	11.7222i	0.186071	−	0.572667i	0.999965	+	0.00834603i	$0.00265666\pi$
$420$	−0.302656	−	0.255048i	−0.0147681	−	0.0124450i
$421$	−9.03606	−	27.8101i	−0.440390	−	1.35538i	−0.887461	−	0.460884i	$-0.847533\pi$
$421$	−9.03606	−	27.8101i	−0.440390	−	1.35538i	0.447070	−	0.894499i	$-0.352467\pi$
$422$	1.51033	+	4.64833i	0.0735219	+	0.226277i
$423$	−31.1151	−	22.6064i	−1.51287	−	1.09916i
$424$	−9.95351			−0.483385
$425$	−1.85419	−	10.7812i	−0.0899416	−	0.522967i
$426$	0.658989			0.0319281
$427$	30.5619	+	22.2045i	1.47899	+	1.07455i
$428$	2.22547	+	6.84928i	0.107572	+	0.331073i
$429$	−0.00806187	−	0.0248119i	−0.000389231	−	0.00119793i
$430$	−3.25446	+	8.00644i	−0.156944	+	0.386105i
$431$	6.41504	−	19.7434i	0.309001	−	0.951008i	−0.669152	−	0.743125i	$-0.733343\pi$
$431$	6.41504	−	19.7434i	0.309001	−	0.951008i	0.978154	−	0.207883i	$-0.0666574\pi$
$432$	0.393488			0.0189317
$433$	−1.36284	+	4.19438i	−0.0654937	+	0.201569i	−0.978448	−	0.206493i	$-0.933795\pi$
$433$	−1.36284	+	4.19438i	−0.0654937	+	0.201569i	0.912954	+	0.408061i	$0.133795\pi$
$434$	−12.0906	+	8.78434i	−0.580368	+	0.421662i
$435$	−0.853867	−	0.719552i	−0.0409398	−	0.0344999i
$436$	−12.6870	−	9.21762i	−0.607596	−	0.441444i
$437$	1.84975	−	1.34392i	0.0884854	−	0.0642884i
$438$	−0.661920	+	0.480913i	−0.0316277	+	0.0229789i
$439$	−23.6004	−	17.1467i	−1.12638	−	0.818366i	−0.141220	−	0.989978i	$-0.545102\pi$
$439$	−23.6004	−	17.1467i	−1.12638	−	0.818366i	−0.985165	+	0.171612i	$0.945102\pi$
$440$	−0.248430	−	0.209352i	−0.0118434	−	0.00998045i
$441$	0.664122	−	0.482513i	0.0316249	−	0.0229768i
$442$	1.84985	−	5.69326i	0.0879884	−	0.270801i
$443$	−28.9554			−1.37571			−0.687856	−	0.725847i	$-0.741448\pi$
$443$	−28.9554			−1.37571			−0.687856	+	0.725847i	$0.741448\pi$
$444$	0.148159	−	0.455986i	0.00703131	−	0.0216401i
$445$	−4.06519	+	10.0010i	−0.192709	+	0.474091i
$446$	−0.301559	−	0.928104i	−0.0142792	−	0.0439470i
$447$	−0.000949378	−	0.00292189i	−4.49040e−5	−	0.000138200i
$448$	−2.18195	−	1.58528i	−0.103088	−	0.0748975i
$449$	18.2904			0.863177			0.431588	−	0.902071i	$-0.357953\pi$
$449$	18.2904			0.863177			0.431588	+	0.902071i	$0.357953\pi$
$450$	13.2547	−	6.97614i	0.624834	−	0.328859i
$451$	−1.12600			−0.0530212
$452$	−8.46030	−	6.14676i	−0.397939	−	0.289120i
$453$	0.400289	+	1.23196i	0.0188072	+	0.0578827i
$454$	−0.332246	−	1.02255i	−0.0155931	−	0.0479905i
$455$	−12.6178	−	10.6330i	−0.591530	−	0.498481i
$456$	−0.0202803	+	0.0624164i	−0.000949713	+	0.00292292i
$457$	5.65449			0.264506			0.132253	−	0.991216i	$-0.457779\pi$
$457$	5.65449			0.264506			0.132253	+	0.991216i	$0.457779\pi$
$458$	3.91625	−	12.0530i	0.182994	−	0.563198i
$459$	0.696495	−	0.506034i	0.0325096	−	0.0236196i
$460$	5.09936	+	0.367385i	0.237759	+	0.0171294i
$461$	13.9961	+	10.1688i	0.651864	+	0.473607i	0.863905	−	0.503654i	$-0.168011\pi$
$461$	13.9961	+	10.1688i	0.651864	+	0.473607i	−0.212042	+	0.977261i	$0.568011\pi$
$462$	−0.0208053	+	0.0151159i	−0.000967948	+	0.000703255i
$463$	0.470981	−	0.342188i	0.0218883	−	0.0159028i	−0.576787	−	0.816894i	$-0.695694\pi$
$463$	0.470981	−	0.342188i	0.0218883	−	0.0159028i	0.598676	+	0.800992i	$0.295694\pi$
$464$	−6.15582	−	4.47247i	−0.285777	−	0.207629i
$465$	0.195060	+	0.789427i	0.00904567	+	0.0366088i
$466$	11.2225	−	8.15366i	0.519875	−	0.377711i
$467$	5.40149	−	16.6241i	0.249951	−	0.769270i	−0.744832	−	0.667253i	$-0.767470\pi$
$467$	5.40149	−	16.6241i	0.249951	−	0.769270i	0.994783	−	0.102018i	$-0.0325298\pi$
$468$	8.19640			0.378879
$469$	6.45842	−	19.8770i	0.298222	−	0.917833i
$470$	28.6337	+	2.06292i	1.32077	+	0.0951556i
$471$	0.0601650	+	0.185169i	0.00277225	+	0.00853212i
$472$	3.17817	+	9.78139i	0.146287	+	0.450225i
$473$	0.454310	+	0.330076i	0.0208892	+	0.0151769i
$474$	0.571520			0.0262508
$475$	0.847474	+	4.92766i	0.0388848	+	0.226096i
$476$	−5.90087			−0.270466
$477$	−24.1230	−	17.5264i	−1.10452	−	0.802477i
$478$	−0.621986	−	1.91428i	−0.0284490	−	0.0875570i
$479$	9.32627	+	28.7033i	0.426128	+	1.31149i	0.901910	+	0.431924i	$0.142165\pi$
$479$	9.32627	+	28.7033i	0.426128	+	1.31149i	−0.475782	+	0.879563i	$0.657835\pi$
$480$	−0.124615	+	0.0775030i	−0.00568785	+	0.00353751i
$481$	6.17676	−	19.0101i	0.281636	−	0.866786i
$482$	−2.48366			−0.113127
$483$	0.125060	−	0.384894i	0.00569041	−	0.0175133i
$484$	8.88211	−	6.45323i	0.403732	−	0.293329i
$485$	−15.6058	+	9.70588i	−0.708621	+	0.440722i
$486$	1.43081	+	1.03954i	0.0649029	+	0.0471547i
$487$	−19.3104	+	14.0298i	−0.875039	+	0.635753i	−0.931934	−	0.362627i	$-0.881880\pi$
$487$	−19.3104	+	14.0298i	−0.875039	+	0.635753i	0.0568953	+	0.998380i	$0.481880\pi$
$488$	11.3316	−	8.23291i	0.512959	−	0.372687i
$489$	0.231749	+	0.168376i	0.0104801	+	0.00761420i
$490$	−0.230734	+	0.567640i	−0.0104235	+	0.0256433i
$491$	32.5251	−	23.6308i	1.46784	−	1.06644i	0.486601	−	0.873624i	$-0.338237\pi$
$491$	32.5251	−	23.6308i	1.46784	−	1.06644i	0.981234	−	0.192820i	$-0.0617634\pi$
$492$	−0.157173	+	0.483728i	−0.00708589	+	0.0218081i
$493$	−16.6478			−0.749780
$494$	−0.845489	+	2.60215i	−0.0380404	+	0.117076i
$495$	−0.233456	−	0.944820i	−0.0104931	−	0.0424665i
$496$	1.71232	+	5.26998i	0.0768855	+	0.236629i
$497$	−8.36865	−	25.7560i	−0.375385	−	1.15532i
$498$	0.0527680	+	0.0383382i	0.00236459	+	0.00171798i
$499$	−9.97882			−0.446713			−0.223357	−	0.974737i	$-0.571701\pi$
$499$	−9.97882			−0.446713			−0.223357	+	0.974737i	$0.571701\pi$
$500$	−5.65129	+	9.64691i	−0.252733	+	0.431423i
$501$	0.353726			0.0158033
$502$	19.7009	+	14.3135i	0.879292	+	0.638843i
$503$	5.88273	+	18.1052i	0.262298	+	0.807270i	0.992304	+	0.123829i	$0.0395175\pi$
$503$	5.88273	+	18.1052i	0.262298	+	0.807270i	−0.730005	+	0.683441i	$0.760483\pi$
$504$	−2.49670	−	7.68407i	−0.111212	−	0.342275i
$505$	0.414360	+	1.67696i	0.0184388	+	0.0746237i
$506$	0.102653	−	0.315934i	0.00456349	−	0.0140450i
$507$	0.361874			0.0160714
$508$	3.98438	−	12.2627i	0.176778	−	0.544067i
$509$	−4.98910	+	3.62479i	−0.221138	+	0.160666i	−0.692839	−	0.721092i	$-0.743640\pi$
$509$	−4.98910	+	3.62479i	−0.221138	+	0.160666i	0.471701	+	0.881759i	$0.343640\pi$
$510$	−0.120904	+	0.297441i	−0.00535372	+	0.0131709i
$511$	27.2020	+	19.7634i	1.20334	+	0.874280i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−0.318339	+	0.231287i	−0.0140550	+	0.0102116i
$514$	−21.9432	−	15.9427i	−0.967874	−	0.703202i
$515$	29.6097	−	18.4156i	1.30476	−	0.811486i
$516$	0.205215	−	0.149098i	0.00903410	−	0.00656366i
$517$	0.576413	−	1.77402i	0.0253506	−	0.0780212i
$518$	−19.7034			−0.865716
$519$	0.276761	−	0.851784i	0.0121485	−	0.0373891i
$520$	−5.19520	+	3.23111i	−0.227824	+	0.141694i
$521$	8.29471	+	25.5285i	0.363398	+	1.11842i	0.950978	+	0.309258i	$0.100081\pi$
$521$	8.29471	+	25.5285i	0.363398	+	1.11842i	−0.587580	+	0.809166i	$0.699919\pi$
$522$	−7.04382	−	21.6786i	−0.308300	−	0.948849i
$523$	16.0091	+	11.6313i	0.700029	+	0.508601i	0.879942	−	0.475082i	$-0.157581\pi$
$523$	16.0091	+	11.6313i	0.700029	+	0.508601i	−0.179913	+	0.983683i	$0.557581\pi$
$524$	−9.86147			−0.430800
$525$	0.634028	+	0.617461i	0.0276713	+	0.0269482i
$526$	6.94562			0.302843
$527$	9.80820	+	7.12607i	0.427252	+	0.310417i
$528$	0.00294653	+	0.00906847i	0.000128231	+	0.000394655i
$529$	−5.49195	−	16.9025i	−0.238780	−	0.734890i
$530$	22.1992	+	1.59935i	0.964271	+	0.0694713i
$531$	−9.52081	+	29.3020i	−0.413168	+	1.27160i
$532$	2.69704			0.116932
$533$	−6.55255	+	20.1667i	−0.283822	+	0.873516i
$534$	0.256337	−	0.186240i	0.0110928	−	0.00805939i
$535$	−3.86288	−	15.6335i	−0.167007	−	0.675894i
$536$	−6.26922	−	4.55486i	−0.270789	−	0.196740i
$537$	0.579572	−	0.421084i	0.0250104	−	0.0181711i
$538$	22.3715	−	16.2538i	0.964503	−	0.700752i
$539$	0.0322096	+	0.0234017i	0.00138737	+	0.00100798i
$540$	−0.877592	−	0.0632265i	−0.0377656	−	0.00272083i
$541$	11.6925	−	8.49507i	0.502698	−	0.365231i	−0.307349	−	0.951597i	$-0.599442\pi$
$541$	11.6925	−	8.49507i	0.502698	−	0.365231i	0.810047	+	0.586366i	$0.199442\pi$
$542$	5.29739	−	16.3037i	0.227542	−	0.700303i
$543$	1.15563			0.0495929
$544$	−0.676100	+	2.08082i	−0.0289876	+	0.0892145i
$545$	26.8145	+	22.5965i	1.14861	+	0.967928i
$546$	0.149654	+	0.460587i	0.00640460	+	0.0197113i
$547$	−0.0498549	−	0.153437i	−0.00213164	−	0.00656051i	0.949985	−	0.312295i	$-0.101098\pi$
$547$	−0.0498549	−	0.153437i	−0.00213164	−	0.00656051i	−0.952117	+	0.305735i	$0.901098\pi$
$548$	16.7289	+	12.1543i	0.714624	+	0.519205i
$549$	41.9597			1.79080
$550$	0.520432	+	0.506833i	0.0221913	+	0.0216114i
$551$	7.60902			0.324155
$552$	−0.121396	−	0.0881994i	−0.00516696	−	0.00375402i
$553$	−7.25786	−	22.3374i	−0.308636	−	0.949883i
$554$	−2.32173	−	7.14554i	−0.0986408	−	0.303585i
$555$	−0.403705	+	0.993173i	−0.0171363	+	0.0421579i
$556$	−2.84208	+	8.74701i	−0.120531	+	0.370956i
$557$	−33.7934			−1.43187			−0.715936	−	0.698166i	$-0.754000\pi$
$557$	−33.7934			−1.43187			−0.715936	+	0.698166i	$0.754000\pi$
$558$	−5.12959	+	15.7873i	−0.217153	+	0.668328i
$559$	8.55545	−	6.21590i	0.361857	−	0.262904i
$560$	4.61165	+	3.88623i	0.194878	+	0.164223i
$561$	0.0168777	+	0.0122624i	0.000712579	+	0.000517719i
$562$	5.45377	−	3.96240i	0.230053	−	0.167144i
$563$	−11.1841	+	8.12571i	−0.471353	+	0.342458i	−0.797968	−	0.602700i	$-0.794092\pi$
$563$	−11.1841	+	8.12571i	−0.471353	+	0.342458i	0.326616	+	0.945157i	$0.394092\pi$
$564$	−0.681658	−	0.495254i	−0.0287030	−	0.0208539i
$565$	17.8812	+	15.0685i	0.752268	+	0.633935i
$566$	26.2493	−	19.0712i	1.10334	−	0.801624i
$567$	7.46859	−	22.9860i	0.313651	−	0.965319i
$568$	−10.0412			−0.421319
$569$	−3.81020	+	11.7266i	−0.159732	+	0.491605i	−0.998610	−	0.0527156i	$-0.983212\pi$
$569$	−3.81020	+	11.7266i	−0.159732	+	0.491605i	0.838878	+	0.544320i	$0.183212\pi$
$570$	0.0552601	−	0.135948i	0.00231459	−	0.00569423i
$571$	5.20120	+	16.0076i	0.217663	+	0.669899i	0.998954	+	0.0457311i	$0.0145618\pi$
$571$	5.20120	+	16.0076i	0.217663	+	0.669899i	−0.781291	+	0.624168i	$0.785438\pi$
$572$	0.122841	+	0.378066i	0.00513624	+	0.0158077i
$573$	−0.280344	−	0.203682i	−0.0117116	−	0.00850894i
$574$	20.9021			0.872436
$575$	−11.3140	−	1.63875i	−0.471826	−	0.0683406i
$576$	−2.99569			−0.124821
$577$	−2.82387	−	2.05166i	−0.117559	−	0.0854118i	0.527452	−	0.849585i	$-0.323147\pi$
$577$	−2.82387	−	2.05166i	−0.117559	−	0.0854118i	−0.645011	+	0.764173i	$0.723147\pi$
$578$	−3.77405	−	11.6153i	−0.156980	−	0.483133i
$579$	−0.0674821	−	0.207689i	−0.00280446	−	0.00863125i
$580$	13.0106	+	10.9640i	0.540236	+	0.455256i
$581$	0.828306	−	2.54926i	0.0343639	−	0.105761i
$582$	0.539388			0.0223584
$583$	0.446883	−	1.37536i	0.0185080	−	0.0569618i
$584$	10.0859	−	7.32780i	0.417356	−	0.303227i
$585$	−18.2803	−	1.31701i	−0.755798	−	0.0544518i
$586$	−20.0748	−	14.5852i	−0.829284	−	0.602510i
$587$	25.2807	−	18.3675i	1.04345	−	0.758109i	0.0724914	−	0.997369i	$-0.476905\pi$
$587$	25.2807	−	18.3675i	1.04345	−	0.758109i	0.970955	+	0.239261i	$0.0769050\pi$
$588$	0.0145493	−	0.0105707i	0.000600004	−	0.000435929i
$589$	−4.48292	−	3.25703i	−0.184715	−	0.134204i
$590$	−5.51653	−	22.3260i	−0.227112	−	0.919146i
$591$	−0.0565933	+	0.0411174i	−0.00232794	+	0.00169134i
$592$	−2.25754	+	6.94799i	−0.0927842	+	0.285560i
$593$	−23.4893			−0.964590			−0.482295	−	0.876009i	$-0.660197\pi$
$593$	−23.4893			−0.964590			−0.482295	+	0.876009i	$0.660197\pi$
$594$	−0.0176665	+	0.0543718i	−0.000724864	+	0.00223090i
$595$	13.1606	+	0.948163i	0.539534	+	0.0388709i
$596$	0.0144659	+	0.0445216i	0.000592548	+	0.00182368i
$597$	−0.465774	−	1.43350i	−0.0190629	−	0.0586694i
$598$	−5.06102	−	3.67705i	−0.206960	−	0.150366i
$599$	29.4176			1.20197			0.600986	−	0.799260i	$-0.294775\pi$
$599$	29.4176			1.20197			0.600986	+	0.799260i	$0.294775\pi$
$600$	0.290380	−	0.152831i	0.0118547	−	0.00623929i
$601$	16.3856			0.668384			0.334192	−	0.942505i	$-0.391537\pi$
$601$	16.3856			0.668384			0.334192	+	0.942505i	$0.391537\pi$
$602$	−8.43343	−	6.12725i	−0.343721	−	0.249728i
$603$	−7.17358	−	22.0780i	−0.292131	−	0.899086i
$604$	−6.09932	−	18.7718i	−0.248178	−	0.763812i
$605$	−20.8466	+	12.9654i	−0.847534	+	0.527117i
$606$	0.0156668	−	0.0482175i	0.000636421	−	0.00195870i
$607$	−17.8045			−0.722662			−0.361331	−	0.932438i	$-0.617678\pi$
$607$	−17.8045			−0.722662			−0.361331	+	0.932438i	$0.617678\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	1.08960	−	0.791639i	0.0441527	−	0.0320788i
$610$	−26.5957	+	16.5410i	−1.07683	+	0.669725i
$611$	−28.4184	−	20.6472i	−1.14969	−	0.835295i
$612$	−5.30254	+	3.85252i	−0.214342	+	0.155729i
$613$	−1.70721	+	1.24036i	−0.0689535	+	0.0500976i	−0.621728	−	0.783233i	$-0.713569\pi$
$613$	−1.70721	+	1.24036i	−0.0689535	+	0.0500976i	0.552775	+	0.833331i	$0.313569\pi$
$614$	18.6937	+	13.5818i	0.754416	+	0.548115i
$615$	0.428267	−	1.05360i	0.0172694	−	0.0424852i
$616$	0.317015	−	0.230325i	0.0127729	−	0.00928007i
$617$	−5.14723	+	15.8416i	−0.207220	+	0.637757i	0.792395	+	0.610008i	$0.208834\pi$
$617$	−5.14723	+	15.8416i	−0.207220	+	0.637757i	−0.999615	+	0.0277489i	$0.991166\pi$
$618$	−1.02341			−0.0411677
$619$	−1.08406	+	3.33639i	−0.0435720	+	0.134101i	−0.970476	−	0.241198i	$-0.922460\pi$
$619$	−1.08406	+	3.33639i	−0.0435720	+	0.134101i	0.926904	+	0.375299i	$0.122460\pi$
$620$	−2.97218	−	12.0287i	−0.119366	−	0.483085i
$621$	−0.278015	−	0.855644i	−0.0111564	−	0.0343358i
$622$	4.19061	+	12.8974i	0.168028	+	0.517137i
$623$	−10.5343	−	7.65364i	−0.422049	−	0.306636i
$624$	0.179564			0.00718830
$625$	14.1541	−	20.6073i	0.566163	−	0.824293i
$626$	−19.9650			−0.797962
$627$	−0.00771410	−	0.00560462i	−0.000308072	−	0.000223827i
$628$	−0.916750	−	2.82147i	−0.0365823	−	0.112589i
$629$	4.93928	+	15.2015i	0.196942	+	0.606125i
$630$	4.33368	+	17.5388i	0.172658	+	0.698764i
$631$	−6.88197	+	21.1805i	−0.273967	+	0.843183i	0.715524	+	0.698588i	$0.246188\pi$
$631$	−6.88197	+	21.1805i	−0.273967	+	0.843183i	−0.989491	+	0.144595i	$0.953812\pi$
$632$	−8.70841			−0.346402
$633$	−0.0991209	+	0.305063i	−0.00393970	+	0.0121252i
$634$	20.4841	−	14.8826i	0.813529	−	0.591064i
$635$	−10.8567	+	26.7090i	−0.430835	+	1.05992i
$636$	−0.528477	−	0.383961i	−0.0209555	−	0.0152251i
$637$	0.606563	−	0.440694i	0.0240329	−	0.0174609i
$638$	0.894379	−	0.649804i	0.0354088	−	0.0257260i
$639$	−24.3355	−	17.6808i	−0.962698	−	0.699441i
$640$	1.89879	−	1.18094i	0.0750561	−	0.0466806i
$641$	6.41573	−	4.66130i	0.253406	−	0.184110i	−0.453829	−	0.891089i	$-0.649942\pi$
$641$	6.41573	−	4.66130i	0.253406	−	0.184110i	0.707235	+	0.706978i	$0.249942\pi$
$642$	−0.146054	+	0.449508i	−0.00576430	+	0.0177407i
$643$	27.4039			1.08070			0.540351	−	0.841439i	$-0.318291\pi$
$643$	27.4039			1.08070			0.540351	+	0.841439i	$0.318291\pi$
$644$	−1.90557	+	5.86473i	−0.0750899	+	0.231103i
$645$	−0.481646	+	0.299556i	−0.0189648	+	0.0117950i
$646$	−0.676100	−	2.08082i	−0.0266008	−	0.0818689i
$647$	10.4203	+	32.0703i	0.409663	+	1.26081i	0.916939	+	0.399029i	$0.130653\pi$
$647$	10.4203	+	32.0703i	0.409663	+	1.26081i	−0.507276	+	0.861784i	$0.669347\pi$
$648$	−7.24981	−	5.26729i	−0.284799	−	0.206919i
$649$	−1.49427			−0.0586553
$650$	12.1060	−	6.37153i	0.474835	−	0.249912i
$651$	−0.980806			−0.0384408
$652$	−3.53122	−	2.56559i	−0.138293	−	0.100476i
$653$	8.43848	+	25.9710i	0.330223	+	1.01632i	0.969027	+	0.246953i	$0.0794293\pi$
$653$	8.43848	+	25.9710i	0.330223	+	1.01632i	−0.638804	+	0.769369i	$0.720571\pi$
$654$	−0.318035	−	0.978812i	−0.0124362	−	0.0382746i
$655$	21.9939	+	1.58456i	0.859373	+	0.0619139i
$656$	2.39489	−	7.37070i	0.0935046	−	0.287777i
$657$	37.3467			1.45703
$658$	−10.7001	+	32.9314i	−0.417132	+	1.28380i
$659$	−22.7167	+	16.5047i	−0.884917	+	0.642930i	−0.934548	−	0.355838i	$-0.884196\pi$
$659$	−22.7167	+	16.5047i	−0.884917	+	0.642930i	0.0496305	+	0.998768i	$0.484196\pi$
$660$	−0.00511446	−	0.0206988i	−0.000199080	−	0.000805698i
$661$	21.8228	+	15.8552i	0.848809	+	0.616696i	0.924817	−	0.380411i	$-0.124218\pi$
$661$	21.8228	+	15.8552i	0.848809	+	0.616696i	−0.0760084	+	0.997107i	$0.524218\pi$
$662$	−4.73967	+	3.44357i	−0.184212	+	0.133838i
$663$	0.317837	−	0.230922i	0.0123438	−	0.00896827i
$664$	−0.804041	−	0.584170i	−0.0312029	−	0.0226702i
$665$	−6.01517	−	0.433366i	−0.233258	−	0.0168052i
$666$	−17.7055	+	12.8638i	−0.686073	+	0.498461i
$667$	−5.37608	+	16.5459i	−0.208163	+	0.640658i
$668$	−5.38982			−0.208538
$669$	0.0197909	−	0.0609101i	0.000765160	−	0.00235492i
$670$	13.2503	+	11.1660i	0.511903	+	0.431380i
$671$	0.628858	+	1.93543i	0.0242768	+	0.0747163i
$672$	−0.0546969	−	0.168340i	−0.00210998	−	0.00649384i
$673$	25.3666	+	18.4299i	0.977810	+	0.710421i	0.957218	−	0.289367i	$-0.0934448\pi$
$673$	25.3666	+	18.4299i	0.977810	+	0.710421i	0.0205922	+	0.999788i	$0.493445\pi$
$674$	6.83007			0.263085
$675$	1.94712	+	0.282026i	0.0749448	+	0.0108552i
$676$	−5.51397			−0.212076
$677$	−6.23159	−	4.52751i	−0.239499	−	0.174006i	0.461561	−	0.887109i	$-0.347290\pi$
$677$	−6.23159	−	4.52751i	−0.239499	−	0.174006i	−0.701060	+	0.713102i	$0.747290\pi$
$678$	−0.212082	−	0.652720i	−0.00814494	−	0.0250676i
$679$	−6.84981	−	21.0816i	−0.262872	−	0.809036i
$680$	1.84225	−	4.53219i	0.0706470	−	0.173802i
$681$	0.0218048	−	0.0671082i	0.000835561	−	0.00257159i
$682$	−0.805079			−0.0308281
$683$	14.1904	−	43.6735i	0.542980	−	1.67112i	−0.182765	−	0.983157i	$-0.558505\pi$
$683$	14.1904	−	43.6735i	0.542980	−	1.67112i	0.725745	−	0.687964i	$-0.241495\pi$
$684$	2.42357	−	1.76082i	0.0926674	−	0.0673268i
$685$	−35.3573	−	29.7956i	−1.35093	−	1.13843i
$686$	14.6757	+	10.6626i	0.560323	+	0.407098i
$687$	0.672881	−	0.488876i	0.0256720	−	0.0186518i
$688$	−3.12692	+	2.27184i	−0.119213	+	0.0866131i
$689$	−22.0323	−	16.0074i	−0.839363	−	0.609833i
$690$	0.256576	+	0.216216i	0.00976769	+	0.00823121i
$691$	−11.8226	+	8.58960i	−0.449752	+	0.326764i	−0.789498	−	0.613753i	$-0.789659\pi$
$691$	−11.8226	+	8.58960i	−0.449752	+	0.326764i	0.339746	+	0.940517i	$0.389659\pi$
$692$	−4.21709	+	12.9789i	−0.160310	+	0.493382i
$693$	1.17387			0.0445916
$694$	−6.30344	+	19.4000i	−0.239275	+	0.736414i
$695$	7.74413	−	19.0517i	0.293752	−	0.722671i
$696$	−0.154313	−	0.474928i	−0.00584923	−	0.0180021i
$697$	−5.23978	−	16.1264i	−0.198471	−	0.610831i
$698$	−12.9598	−	9.41585i	−0.490536	−	0.356395i
$699$	0.910388			0.0344340
$700$	−9.66086	−	9.40842i	−0.365146	−	0.355605i
$701$	35.9089			1.35626			0.678131	−	0.734941i	$-0.262790\pi$
$701$	35.9089			1.35626			0.678131	+	0.734941i	$0.262790\pi$
$702$	0.870994	+	0.632814i	0.0328736	+	0.0238840i
$703$	−2.25754	−	6.94799i	−0.0851446	−	0.262048i
$704$	−0.0448970	−	0.138179i	−0.00169212	−	0.00520781i
$705$	1.44071	+	1.21409i	0.0542605	+	0.0457252i
$706$	−9.54971	+	29.3910i	−0.359408	+	1.10614i
$707$	−2.08350			−0.0783581
$708$	−0.208578	+	0.641938i	−0.00783885	+	0.0241255i
$709$	−38.0796	+	27.6665i	−1.43011	+	1.03904i	−0.440115	+	0.897942i	$0.645062\pi$
$709$	−38.0796	+	27.6665i	−1.43011	+	1.03904i	−0.989996	+	0.141095i	$0.954938\pi$
$710$	22.3947	+	1.61344i	0.840460	+	0.0605513i
$711$	−21.1054	−	15.3340i	−0.791515	−	0.575069i
$712$	−3.90588	+	2.83779i	−0.146379	+	0.106351i
$713$	10.2498	−	7.44691i	0.383858	−	0.278889i
$714$	−0.313304	−	0.227629i	−0.0117251	−	0.00851880i
$715$	−0.213222	−	0.862933i	−0.00797407	−	0.0322719i
$716$	−8.83110	+	6.41617i	−0.330034	+	0.239784i
$717$	0.0408200	−	0.125631i	0.00152445	−	0.00469178i
$718$	−12.3670			−0.461534
$719$	4.85587	−	14.9448i	0.181093	−	0.557348i	−0.818766	−	0.574127i	$-0.805341\pi$
$719$	4.85587	−	14.9448i	0.181093	−	0.557348i	0.999859	+	0.0167798i	$0.00534141\pi$
$720$	6.68126	+	0.481354i	0.248996	+	0.0179390i
$721$	12.9966	+	39.9993i	0.484017	+	1.48965i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	−0.131869	−	0.0958082i	−0.00490425	−	0.00356315i
$724$	−17.6087			−0.654421
$725$	−27.2557	−	26.5435i	−1.01225	−	0.985800i
$726$	0.720528			0.0267413
$727$	39.2014	+	28.4815i	1.45390	+	1.05632i	0.984900	+	0.173122i	$0.0553856\pi$
$727$	39.2014	+	28.4815i	1.45390	+	1.05632i	0.469000	+	0.883198i	$0.344614\pi$
$728$	−2.28032	−	7.01810i	−0.0845142	−	0.260108i
$729$	−8.27167	−	25.4576i	−0.306358	−	0.942874i
$730$	−23.6718	+	14.7225i	−0.876133	+	0.544904i
$731$	−2.61319	+	8.04256i	−0.0966522	+	0.297465i
$732$	0.919237			0.0339760
$733$	−5.60462	+	17.2492i	−0.207011	+	0.637115i	0.792613	+	0.609724i	$0.208720\pi$
$733$	−5.60462	+	17.2492i	−0.207011	+	0.637115i	−0.999625	+	0.0273909i	$0.991280\pi$
$734$	−7.11319	+	5.16804i	−0.262553	+	0.190756i
$735$	−0.0341477	+	0.0212379i	−0.00125956	+	0.000783372i
$736$	1.84975	+	1.34392i	0.0681826	+	0.0495375i
$737$	0.910855	−	0.661775i	0.0335518	−	0.0243768i
$738$	18.7827	−	13.6464i	0.691400	−	0.502331i
$739$	−34.3146	−	24.9310i	−1.26228	−	0.917102i	−0.263415	−	0.964683i	$-0.584849\pi$
$739$	−34.3146	−	24.9310i	−1.26228	−	0.917102i	−0.998867	+	0.0475809i	$0.984849\pi$
$740$	6.15137	−	15.1333i	0.226129	−	0.556310i
$741$	−0.145270	+	0.105545i	−0.00533663	+	0.00387729i
$742$	−8.29556	+	25.5311i	−0.304540	+	0.937277i
$743$	−17.3182			−0.635343			−0.317671	−	0.948201i	$-0.602901\pi$
$743$	−17.3182			−0.635343			−0.317671	+	0.948201i	$0.602901\pi$
$744$	−0.112377	+	0.345861i	−0.00411994	+	0.0126799i
$745$	−0.0251094	−	0.101620i	−0.000919937	−	0.00372308i
$746$	−5.81283	−	17.8901i	−0.212823	−	0.655002i
$747$	−0.920027	−	2.83155i	−0.0336620	−	0.103601i
$748$	−0.257171	−	0.186846i	−0.00940310	−	0.00683175i
$749$	19.4234			0.709717
$750$	−0.672187	+	0.294198i	−0.0245448	+	0.0107426i
$751$	35.1351			1.28210			0.641049	−	0.767500i	$-0.278500\pi$
$751$	35.1351			1.28210			0.641049	+	0.767500i	$0.278500\pi$
$752$	10.3866	+	7.54632i	0.378761	+	0.275186i
$753$	0.493858	+	1.51994i	0.0179972	+	0.0553897i
$754$	−6.43334	−	19.7998i	−0.234288	−	0.721066i
$755$	10.5869	+	42.8465i	0.385298	+	1.55934i
$756$	0.327946	−	1.00931i	0.0119273	−	0.0367083i
$757$	−14.2506			−0.517945			−0.258973	−	0.965885i	$-0.583384\pi$
$757$	−14.2506			−0.517945			−0.258973	+	0.965885i	$0.583384\pi$
$758$	1.15508	−	3.55498i	0.0419546	−	0.129123i
$759$	0.0176376	−	0.0128145i	0.000640205	−	0.000465136i
$760$	−0.842014	+	2.07148i	−0.0305431	+	0.0751403i
$761$	−28.8957	−	20.9939i	−1.04747	−	0.761030i	−0.0757384	−	0.997128i	$-0.524131\pi$
$761$	−28.8957	−	20.9939i	−1.04747	−	0.761030i	−0.971729	+	0.236098i	$0.924131\pi$
$762$	0.684587	−	0.497381i	0.0248000	−	0.0180182i
$763$	−34.2173	+	24.8603i	−1.23875	+	0.900003i
$764$	4.27169	+	3.10356i	0.154544	+	0.112283i
$765$	12.4452	−	7.74020i	0.449957	−	0.279848i
$766$	−2.19502	+	1.59477i	−0.0793092	+	0.0576215i
$767$	−8.69566	+	26.7625i	−0.313982	+	0.966337i
$768$	−0.0656285			−0.00236816
$769$	−7.45788	+	22.9530i	−0.268938	+	0.827706i	0.721822	+	0.692079i	$0.243305\pi$
$769$	−7.45788	+	22.9530i	−0.268938	+	0.827706i	−0.990760	+	0.135627i	$0.956695\pi$
$770$	−0.744045	+	0.462753i	−0.0268135	+	0.0166764i
$771$	−0.550070	−	1.69294i	−0.0198103	−	0.0609698i
$772$	1.02824	+	3.16461i	0.0370073	+	0.113897i
$773$	7.11945	+	5.17258i	0.256069	+	0.186045i	0.708412	−	0.705799i	$-0.249412\pi$
$773$	7.11945	+	5.17258i	0.256069	+	0.186045i	−0.452343	+	0.891844i	$0.649412\pi$
$774$	−11.5786			−0.416185
$775$	4.69601	+	27.3051i	0.168686	+	0.980827i
$776$	−8.21881			−0.295038
$777$	−1.04614	−	0.760066i	−0.0375301	−	0.0272672i
$778$	−9.44910	−	29.0813i	−0.338766	−	1.04262i
$779$	2.39489	+	7.37070i	0.0858057	+	0.264083i
$780$	−0.400478	−	0.0288526i	−0.0143394	−	0.00103309i
$781$	0.450820	−	1.38748i	0.0161316	−	0.0496480i
$782$	5.00246			0.178887
$783$	0.925215	−	2.84752i	0.0330645	−	0.101762i
$784$	−0.221692	+	0.161069i	−0.00791758	+	0.00575246i
$785$	1.59126	+	6.43999i	0.0567944	+	0.229853i
$786$	−0.523591	−	0.380411i	−0.0186759	−	0.0135688i
$787$	26.1727	−	19.0156i	0.932958	−	0.677833i	−0.0137576	−	0.999905i	$-0.504379\pi$
$787$	26.1727	−	19.0156i	0.932958	−	0.677833i	0.946715	+	0.322072i	$0.104379\pi$
$788$	0.862328	−	0.626518i	0.0307191	−	0.0223188i
$789$	0.368775	+	0.267931i	0.0131287	+	0.00953858i
$790$	19.4223	+	1.39928i	0.691013	+	0.0497843i
$791$	−22.8178	+	16.5781i	−0.811306	+	0.589448i
$792$	0.134498	−	0.413941i	0.00477917	−	0.0147088i
$793$	38.3231			1.36089
$794$	−5.62065	+	17.2986i	−0.199469	+	0.613904i
$795$	1.11696	+	0.941260i	0.0396145	+	0.0333831i
$796$	7.09713	+	21.8427i	0.251551	+	0.774194i
$797$	−9.32268	−	28.6923i	−0.330226	−	1.01633i	−0.969026	−	0.246959i	$-0.920569\pi$
$797$	−9.32268	−	28.6923i	−0.330226	−	1.01633i	0.638800	−	0.769373i	$-0.279431\pi$
$798$	0.143198	+	0.104040i	0.00506916	+	0.00368296i
$799$	28.0896			0.993737
$800$	−4.42459	+	2.32872i	−0.156433	+	0.0823329i
$801$	−14.4630			−0.511026
$802$	23.3355	+	16.9542i	0.824004	+	0.598674i
$803$	0.559722	+	1.72265i	0.0197522	+	0.0607909i
$804$	−0.157156	−	0.483677i	−0.00554247	−	0.0170580i
$805$	5.19232	−	12.7739i	0.183005	−	0.450219i
$806$	−4.68501	+	14.4190i	−0.165023	+	0.507887i
$807$	1.81480			0.0638841
$808$	−0.238720	+	0.734704i	−0.00839813	+	0.0258468i
$809$	6.27255	−	4.55728i	0.220531	−	0.160225i	−0.472035	−	0.881580i	$-0.656480\pi$
$809$	6.27255	−	4.55728i	0.220531	−	0.160225i	0.692566	+	0.721355i	$0.256480\pi$
$810$	15.3228	+	12.9125i	0.538388	+	0.453699i
$811$	−6.59126	−	4.78883i	−0.231451	−	0.168159i	0.466015	−	0.884777i	$-0.345689\pi$
$811$	−6.59126	−	4.78883i	−0.231451	−	0.168159i	−0.697466	+	0.716618i	$0.745689\pi$
$812$	−16.6025	+	12.0624i	−0.582634	+	0.423308i
$813$	0.910185	−	0.661288i	0.0319216	−	0.0231924i
$814$	−0.858708	−	0.623888i	−0.0300977	−	0.0218673i
$815$	7.46340	+	6.28940i	0.261432	+	0.220308i
$816$	−0.116166	+	0.0843995i	−0.00406662	+	0.00295457i
$817$	1.19438	−	3.67592i	0.0417860	−	0.128604i
$818$	11.8823			0.415454
$819$	6.83113	−	21.0241i	0.238699	−	0.734640i
$820$	−6.52562	+	16.0540i	−0.227885	+	0.560629i
$821$	8.87542	+	27.3157i	0.309754	+	0.953326i	0.977860	+	0.209260i	$0.0671053\pi$
$821$	8.87542	+	27.3157i	0.309754	+	0.953326i	−0.668106	+	0.744066i	$0.732895\pi$
$822$	0.419358	+	1.29065i	0.0146268	+	0.0450167i
$823$	−20.6004	−	14.9670i	−0.718083	−	0.521718i	0.167688	−	0.985840i	$-0.446370\pi$
$823$	−20.6004	−	14.9670i	−0.718083	−	0.521718i	−0.885771	+	0.464122i	$0.846370\pi$
$824$	15.5940			0.543244
$825$	0.00808080	+	0.0469860i	0.000281337	+	0.00163584i
$826$	27.7384			0.965143
$827$	16.0623	+	11.6699i	0.558539	+	0.405802i	0.830924	−	0.556386i	$-0.187812\pi$
$827$	16.0623	+	11.6699i	0.558539	+	0.405802i	−0.272385	+	0.962188i	$0.587812\pi$
$828$	2.11658	+	6.51416i	0.0735562	+	0.226383i
$829$	1.99115	+	6.12813i	0.0691555	+	0.212839i	0.979662	−	0.200657i	$-0.0643076\pi$
$829$	1.99115	+	6.12813i	0.0691555	+	0.212839i	−0.910506	+	0.413496i	$0.864308\pi$
$830$	1.69938	+	1.43206i	0.0589863	+	0.0497076i
$831$	0.152372	−	0.468951i	0.00528571	−	0.0162677i
$832$	−2.73606			−0.0948558
$833$	−0.185270	+	0.570201i	−0.00641921	+	0.0197563i
$834$	−0.488319	+	0.354784i	−0.0169091	+	0.0122852i
$835$	12.0209	+	0.866047i	0.415999	+	0.0299708i
$836$	0.117542	+	0.0853992i	0.00406527	+	0.00295359i
$837$	−1.76398	+	1.28160i	−0.0609719	+	0.0442987i
$838$	−9.97149	+	7.24471i	−0.344460	+	0.250265i
$839$	−1.91237	−	1.38942i	−0.0660223	−	0.0479680i	0.554285	−	0.832327i	$-0.312992\pi$
$839$	−1.91237	−	1.38942i	−0.0660223	−	0.0479680i	−0.620307	+	0.784359i	$0.712992\pi$
$840$	0.0949406	+	0.384234i	0.00327576	+	0.0132573i
$841$	−23.3783	+	16.9853i	−0.806147	+	0.585700i
$842$	−9.03606	+	27.8101i	−0.311403	+	0.958400i
$843$	0.442417			0.0152377
$844$	1.51033	−	4.64833i	0.0519878	−	0.160002i
$845$	12.2977	+	0.885996i	0.423055	+	0.0304792i
$846$	11.8849	+	36.5780i	0.408612	+	1.25758i
$847$	−9.15015	−	28.1613i	−0.314403	−	0.967633i
$848$	8.05256	+	5.85052i	0.276526	+	0.200908i
$849$	2.12938			0.0730801
$850$	−4.83698	+	9.81208i	−0.165907	+	0.336552i
$851$	16.7035			0.572588
$852$	−0.533133	−	0.387344i	−0.0182648	−	0.0132702i
$853$	−6.14474	−	18.9116i	−0.210392	−	0.647520i	−0.999449	−	0.0331994i	$-0.989430\pi$
$853$	−6.14474	−	18.9116i	−0.210392	−	0.647520i	0.789057	−	0.614320i	$-0.210570\pi$
$854$	−11.6736	−	35.9276i	−0.399462	−	1.22942i
$855$	−5.68818	+	3.53772i	−0.194532	+	0.120987i
$856$	2.22547	−	6.84928i	0.0760649	−	0.234104i
$857$	−38.3986			−1.31167			−0.655836	−	0.754903i	$-0.727684\pi$
$857$	−38.3986			−1.31167			−0.655836	+	0.754903i	$0.727684\pi$
$858$	−0.00806187	+	0.0248119i	−0.000275228	+	0.000847064i
$859$	31.5544	−	22.9256i	1.07662	−	0.782212i	0.0995320	−	0.995034i	$-0.468265\pi$
$859$	31.5544	−	22.9256i	1.07662	−	0.782212i	0.977091	+	0.212822i	$0.0682654\pi$
$860$	7.33898	−	4.56442i	0.250257	−	0.155645i
$861$	1.10979	+	0.806308i	0.0378215	+	0.0274789i
$862$	−16.7948	+	12.2021i	−0.572033	+	0.415606i
$863$	−39.1104	+	28.4153i	−1.33133	+	0.967269i	−0.331617	+	0.943414i	$0.607594\pi$
$863$	−39.1104	+	28.4153i	−1.33133	+	0.967269i	−0.999715	+	0.0238552i	$0.992406\pi$
$864$	−0.318339	−	0.231287i	−0.0108301	−	0.00786853i
$865$	11.4908	−	28.2690i	0.390699	−	0.961174i
$866$	3.56795	−	2.59227i	0.121244	−	0.0880888i
$867$	0.247685	−	0.762296i	0.00841182	−	0.0258889i
$868$	14.9448			0.507260
$869$	0.390982	−	1.20332i	0.0132632	−	0.0408198i
$870$	0.267851	+	1.08402i	0.00908099	+	0.0367517i
$871$	−6.55185	−	20.1645i	−0.222001	−	0.683249i
$872$	4.84599	+	14.9144i	0.164106	+	0.505066i
$873$	−19.9188	−	14.4719i	−0.674150	−	0.489799i
$874$	−2.28641			−0.0773391
$875$	20.0347	+	22.5358i	0.677298	+	0.761849i
$876$	0.818178			0.0276437
$877$	27.6533	+	20.0913i	0.933784	+	0.678434i	0.946916	−	0.321480i	$-0.104180\pi$
$877$	27.6533	+	20.0913i	0.933784	+	0.678434i	−0.0131324	+	0.999914i	$0.504180\pi$
$878$	9.01454	+	27.7439i	0.304226	+	0.936311i
$879$	−0.503233	−	1.54879i	−0.0169736	−	0.0522395i
$880$	0.0779304	+	0.315393i	0.00262703	+	0.0106319i
$881$	−7.51109	+	23.1168i	−0.253055	+	0.778824i	0.741152	+	0.671338i	$0.234280\pi$
$881$	−7.51109	+	23.1168i	−0.253055	+	0.778824i	−0.994207	+	0.107486i	$0.965720\pi$
$882$	−0.820900			−0.0276411
$883$	−0.414766	+	1.27652i	−0.0139580	+	0.0429583i	−0.957793	−	0.287459i	$-0.907189\pi$
$883$	−0.414766	+	1.27652i	−0.0139580	+	0.0429583i	0.943835	+	0.330417i	$0.107189\pi$
$884$	−4.84297	+	3.51863i	−0.162887	+	0.118344i
$885$	0.568338	−	1.39819i	0.0191045	−	0.0469997i
$886$	23.4254	+	17.0195i	0.786991	+	0.571783i
$887$	−19.9272	+	14.4780i	−0.669091	+	0.486123i	−0.869721	−	0.493544i	$-0.835701\pi$
$887$	−19.9272	+	14.4780i	−0.669091	+	0.486123i	0.200630	+	0.979667i	$0.435701\pi$
$888$	−0.387885	+	0.281815i	−0.0130166	+	0.00945709i
$889$	−28.1335	−	20.4402i	−0.943566	−	0.685541i
$890$	9.16723	−	5.70148i	0.307286	−	0.191114i
$891$	1.05332	−	0.765284i	0.0352877	−	0.0256380i
$892$	−0.301559	+	0.928104i	−0.0100969	+	0.0310752i
$893$	−12.8386			−0.429626
$894$	−0.000949378		0.00292189i	−3.17520e−5		9.77225e-5i
$895$	20.7269	−	12.8909i	0.692822	−	0.430896i
$896$	0.833431	+	2.56504i	0.0278430	+	0.0856919i
$897$	−0.126869	−	0.390462i	−0.00423603	−	0.0130372i
$898$	−14.7972	−	10.7508i	−0.493790	−	0.358760i
$899$	42.1630			1.40621
$900$	−14.8238	−	2.14711i	−0.494126	−	0.0715705i
$901$	21.7773			0.725508
$902$	0.910952	+	0.661845i	0.0303314	+	0.0220370i
$903$	−0.211408	−	0.650647i	−0.00703522	−	0.0216522i
$904$	3.23155	+	9.94567i	0.107480	+	0.330788i
$905$	39.2724	+	2.82940i	1.30546	+	0.0940523i
$906$	0.400289	−	1.23196i	0.0132987	−	0.0409292i
$907$	5.49355			0.182410			0.0912052	−	0.995832i	$-0.470928\pi$
$907$	5.49355			0.182410			0.0912052	+	0.995832i	$0.470928\pi$
$908$	−0.332246	+	1.02255i	−0.0110260	+	0.0339344i
$909$	−1.87224	+	1.36026i	−0.0620982	+	0.0451170i
$910$	3.95808	+	16.0188i	0.131209	+	0.531017i
$911$	26.5087	+	19.2597i	0.878271	+	0.638101i	0.932793	−	0.360411i	$-0.117364\pi$
$911$	26.5087	+	19.2597i	0.878271	+	0.638101i	−0.0545225	+	0.998513i	$0.517364\pi$
$912$	0.0530946	−	0.0385755i	0.00175814	−	0.00127736i
$913$	0.116819	−	0.0848740i	0.00386615	−	0.00280892i
$914$	−4.57458	−	3.32362i	−0.151314	−	0.109936i
$915$	−2.05016	−	0.147705i	−0.0677763	−	0.00488297i
$916$	−10.2529	+	7.44915i	−0.338764	+	0.246127i
$917$	−8.21886	+	25.2950i	−0.271411	+	0.835316i
$918$	−0.860916			−0.0284145
$919$	−14.6262	+	45.0148i	−0.482474	+	1.48490i	0.353133	+	0.935573i	$0.385116\pi$
$919$	−14.6262	+	45.0148i	−0.482474	+	1.48490i	−0.835607	+	0.549328i	$0.814884\pi$
$920$	−3.90952	−	3.29455i	−0.128893	−	0.108618i
$921$	0.468611	+	1.44224i	0.0154413	+	0.0475233i
$922$	−5.34604	−	16.4534i	−0.176062	−	0.541864i
$923$	−22.2264	−	16.1484i	−0.731590	−	0.531531i
$924$	0.0257167			0.000846017
$925$	−16.1510	+	32.7631i	−0.531041	+	1.07724i
$926$	−0.582164			−0.0191311
$927$	37.7932	+	27.4584i	1.24129	+	0.901851i
$928$	2.35132	+	7.23661i	0.0771857	+	0.237553i
$929$	4.66006	+	14.3422i	0.152892	+	0.470552i	0.997941	−	0.0641360i	$-0.0204291\pi$
$929$	4.66006	+	14.3422i	0.152892	+	0.470552i	−0.845050	+	0.534688i	$0.820429\pi$
$930$	0.306207	−	0.753313i	0.0100409	−	0.0247021i
$931$	0.0846789	−	0.260615i	0.00277524	−	0.00854131i
$932$	−13.8718			−0.454387
$933$	−0.275023	+	0.846434i	−0.00900386	+	0.0277110i
$934$	−14.1413	+	10.2742i	−0.462717	+	0.336183i
$935$	0.543542	+	0.458042i	0.0177757	+	0.0149796i
$936$	−6.63102	−	4.81772i	−0.216742	−	0.157472i
$937$	−21.2015	+	15.4038i	−0.692622	+	0.503219i	−0.877521	−	0.479538i	$-0.840804\pi$
$937$	−21.2015	+	15.4038i	−0.692622	+	0.503219i	0.184899	+	0.982758i	$0.440804\pi$
$938$	−16.9084	+	12.2846i	−0.552077	+	0.401108i
$939$	−1.06003	−	0.770160i	−0.0345929	−	0.0251332i
$940$	−21.9526	−	18.4994i	−0.716014	−	0.603384i
$941$	1.26894	−	0.921938i	0.0413662	−	0.0300543i	−0.566910	−	0.823780i	$-0.691861\pi$
$941$	1.26894	−	0.921938i	0.0413662	−	0.0300543i	0.608276	+	0.793725i	$0.291861\pi$
$942$	0.0601650	−	0.185169i	0.00196028	−	0.00603312i
$943$	−17.7197			−0.577034
$944$	3.17817	−	9.78139i	0.103441	−	0.318357i
$945$	−0.893591	+	2.19836i	−0.0290685	+	0.0715127i
$946$	−0.173531	−	0.534073i	−0.00564198	−	0.0173642i
$947$	5.64304	+	17.3675i	0.183374	+	0.564367i	0.999917	−	0.0129180i	$-0.00411206\pi$
$947$	5.64304	+	17.3675i	0.183374	+	0.564367i	−0.816543	+	0.577285i	$0.804112\pi$
$948$	−0.462370	−	0.335931i	−0.0150171	−	0.0109105i
$949$	34.1099			1.10725
$950$	2.21078	−	4.48469i	0.0717273	−	0.145503i
$951$	1.66170			0.0538843
$952$	4.77391	+	3.46845i	0.154723	+	0.112413i
$953$	−0.935383	−	2.87881i	−0.0303000	−	0.0932538i	0.934763	−	0.355272i	$-0.115612\pi$
$953$	−0.935383	−	2.87881i	−0.0303000	−	0.0932538i	−0.965063	+	0.262018i	$0.915612\pi$
$954$	9.21416	+	28.3583i	0.298319	+	0.918133i
$955$	−9.02840	−	7.60822i	−0.292152	−	0.246196i
$956$	−0.621986	+	1.91428i	−0.0201165	+	0.0619121i
$957$	0.0725532			0.00234531
$958$	9.32627	−	28.7033i	0.301318	−	0.927362i
$959$	45.1186	−	32.7806i	1.45696	−	1.05854i
$960$	0.146370	+	0.0105453i	0.00472409	+	0.000340349i
$961$	0.238844	+	0.173530i	0.00770463	+	0.00559774i
$962$	−16.1710	+	11.7489i	−0.521373	+	0.378800i
$963$	17.4540	−	12.6810i	0.562446	−	0.408641i
$964$	2.00932	+	1.45986i	0.0647159	+	0.0470188i
$965$	−1.78478	−	7.22321i	−0.0574542	−	0.232523i
$966$	−0.327410	+	0.237877i	−0.0105343	+	0.00765358i
$967$	−3.07527	+	9.46472i	−0.0988941	+	0.304365i	−0.988249	−	0.152853i	$-0.951154\pi$
$967$	−3.07527	+	9.46472i	−0.0988941	+	0.304365i	0.889355	+	0.457218i	$0.151154\pi$
$968$	−10.9789			−0.352875
$969$	0.0443715	−	0.136561i	0.00142542	−	0.00438698i
$970$	18.3303	+	1.32061i	0.588551	+	0.0424024i
$971$	−12.7645	−	39.2852i	−0.409634	−	1.26072i	−0.916963	−	0.398971i	$-0.869367\pi$
$971$	−12.7645	−	39.2852i	−0.409634	−	1.26072i	0.507330	−	0.861752i	$-0.330633\pi$
$972$	−0.546521	−	1.68202i	−0.0175297	−	0.0539508i
$973$	20.0677	+	14.5801i	0.643342	+	0.467415i
$974$	23.8690			0.764812
$975$	0.888546	+	0.128699i	0.0284562	+	0.00412168i
$976$	−14.0067			−0.448343
$977$	−28.5672	−	20.7553i	−0.913946	−	0.664020i	0.0280640	−	0.999606i	$-0.491066\pi$
$977$	−28.5672	−	20.7553i	−0.913946	−	0.664020i	−0.942010	+	0.335586i	$0.891066\pi$
$978$	−0.0885203	−	0.272437i	−0.00283057	−	0.00871159i
$979$	−0.216760	−	0.667119i	−0.00692768	−	0.0213212i
$980$	0.520318	−	0.323608i	0.0166210	−	0.0103373i
$981$	−14.5171	+	44.6790i	−0.463495	+	1.42649i
$982$	−40.2032			−1.28293
$983$	1.65039	−	5.07939i	0.0526394	−	0.162007i	−0.921281	−	0.388898i	$-0.872856\pi$
$983$	1.65039	−	5.07939i	0.0526394	−	0.162007i	0.973920	+	0.226890i	$0.0728559\pi$
$984$	0.411484	−	0.298960i	0.0131176	−	0.00953051i
$985$	−2.02391	+	1.25875i	−0.0644871	+	0.0401072i
$986$	13.4684	+	9.78534i	0.428920	+	0.311629i
$987$	−1.83846	+	1.33572i	−0.0585188	+	0.0425164i
$988$	2.21352	−	1.60822i	0.0704214	−	0.0511642i
$989$	7.14943	+	5.19437i	0.227339	+	0.165171i
$990$	−0.366481	+	0.901597i	−0.0116475	+	0.0286546i
$991$	4.06842	−	2.95588i	0.129237	−	0.0938965i	−0.521289	−	0.853380i	$-0.674548\pi$
$991$	4.06842	−	2.95588i	0.129237	−	0.0938965i	0.650526	+	0.759484i	$0.274548\pi$
$992$	1.71232	−	5.26998i	0.0543663	−	0.167322i
$993$	−0.384488			−0.0122014
$994$	−8.36865	+	25.7560i	−0.265437	+	0.816932i
$995$	−12.3189	−	49.8559i	−0.390535	−	1.58054i
$996$	−0.0201556	−	0.0620326i	−0.000638655	−	0.00196558i
$997$	8.77192	+	26.9972i	0.277809	+	0.855010i	0.988462	+	0.151467i	$0.0483996\pi$
$997$	8.77192	+	26.9972i	0.277809	+	0.855010i	−0.710653	+	0.703543i	$0.751600\pi$
$998$	8.07304	+	5.86540i	0.255547	+	0.185666i
$999$	−2.87465			−0.0909498

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.191.6	✓	40
25.11	even	5	inner	950.2.h.b.761.6	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.191.6	✓	40	1.1	even	1	trivial
950.2.h.b.761.6	yes	40	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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.0202803 - 0.0624164i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.536379 - 2.17078i) q^{5} +(-0.0202803 + 0.0624164i) q^{6} +2.69704 q^{7} +(0.309017 - 0.951057i) q^{8} +(2.42357 - 1.76082i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.0202803 - 0.0624164i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.536379 - 2.17078i) q^{5} +(-0.0202803 + 0.0624164i) q^{6} +2.69704 q^{7} +(0.309017 - 0.951057i) q^{8} +(2.42357 - 1.76082i) q^{9} +(-0.842014 + 2.07148i) q^{10} +(0.117542 + 0.0853992i) q^{11} +(0.0530946 - 0.0385755i) q^{12} +(2.21352 - 1.60822i) q^{13} +(-2.18195 - 1.58528i) q^{14} +(-0.124615 + 0.0775030i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.676100 + 2.08082i) q^{17} -2.99569 q^{18} +(0.309017 - 0.951057i) q^{19} +(1.89879 - 1.18094i) q^{20} +(-0.0546969 - 0.168340i) q^{21} +(-0.0448970 - 0.138179i) q^{22} +(1.84975 + 1.34392i) q^{23} -0.0656285 q^{24} +(-4.42459 + 2.32872i) q^{25} -2.73606 q^{26} +(-0.318339 - 0.231287i) q^{27} +(0.833431 + 2.56504i) q^{28} +(2.35132 + 7.23661i) q^{29} +(0.146370 + 0.0105453i) q^{30} +(1.71232 - 5.26998i) q^{31} +1.00000 q^{32} +(0.00294653 - 0.00906847i) q^{33} +(1.77005 - 1.28602i) q^{34} +(-1.44664 - 5.85469i) q^{35} +(2.42357 + 1.76082i) q^{36} +(5.91031 - 4.29409i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-0.145270 - 0.105545i) q^{39} +(-2.23029 - 0.160682i) q^{40} +(-6.26989 + 4.55534i) q^{41} +(-0.0546969 + 0.168340i) q^{42} +3.86509 q^{43} +(-0.0448970 + 0.138179i) q^{44} +(-5.12232 - 4.31657i) q^{45} +(-0.706540 - 2.17451i) q^{46} +(-3.96733 - 12.2102i) q^{47} +(0.0530946 + 0.0385755i) q^{48} +0.274027 q^{49} +(4.94836 + 0.716734i) q^{50} +0.143589 q^{51} +(2.21352 + 1.60822i) q^{52} +(-3.07580 - 9.46635i) q^{53} +(0.121595 + 0.374230i) q^{54} +(0.122336 - 0.300964i) q^{55} +(0.833431 - 2.56504i) q^{56} -0.0656285 q^{57} +(2.35132 - 7.23661i) q^{58} +(-8.32055 + 6.04523i) q^{59} +(-0.112218 - 0.0945657i) q^{60} +(11.3316 + 8.23291i) q^{61} +(-4.48292 + 3.25703i) q^{62} +(6.53646 - 4.74901i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.67837 - 3.94246i) q^{65} +(-0.00771410 + 0.00560462i) q^{66} +(2.39463 - 7.36992i) q^{67} -2.18791 q^{68} +(0.0463692 - 0.142710i) q^{69} +(-2.27095 + 5.58685i) q^{70} +(-3.10290 - 9.54974i) q^{71} +(-0.925720 - 2.84907i) q^{72} +(10.0859 + 7.32780i) q^{73} -7.30555 q^{74} +(0.235083 + 0.228940i) q^{75} +1.00000 q^{76} +(0.317015 + 0.230325i) q^{77} +(0.0554882 + 0.170775i) q^{78} +(-2.69105 - 8.28219i) q^{79} +(1.70989 + 1.44092i) q^{80} +(2.76918 - 8.52266i) q^{81} +7.75001 q^{82} +(0.307117 - 0.945207i) q^{83} +(0.143198 - 0.104040i) q^{84} +(4.87966 + 0.351557i) q^{85} +(-3.12692 - 2.27184i) q^{86} +(0.403998 - 0.293521i) q^{87} +(0.117542 - 0.0853992i) q^{88} +(-3.90588 - 2.83779i) q^{89} +(1.60683 + 6.50300i) q^{90} +(5.96995 - 4.33742i) q^{91} +(-0.706540 + 2.17451i) q^{92} -0.363660 q^{93} +(-3.96733 + 12.2102i) q^{94} +(-2.23029 - 0.160682i) q^{95} +(-0.0202803 - 0.0624164i) q^{96} +(-2.53975 - 7.81655i) q^{97} +(-0.221692 - 0.161069i) q^{98} +0.435244 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

Introduction

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