LMFDB - Embedded newform 71.2.c.a.54.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [71,2,Mod(5,71)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(71, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("71.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 71 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	71.c (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:	$0.566937854351$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 6 x^{19} + 28 x^{18} - 91 x^{17} + 268 x^{16} - 604 x^{15} + 1278 x^{14} - 1990 x^{13} + \cdots + 961 $ x^20 - 6x^19 + 28x^18 - 91x^17 + 268x^16 - 604x^15 + 1278x^14 - 1990x^13 + 3162x^12 - 4046x^11 + 6406x^10 - 8426x^9 + 12709x^8 - 13621x^7 + 17787x^6 - 13514x^5 + 9316x^4 - 1639x^3 - 228x^2 + 620*x + 961
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			54.5
Root			$-1.16276 + 0.844794i$ of defining polynomial
Character	$\chi$	$=$	71.54
Dual form			71.2.c.a.25.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.16276 + 0.844794i) q^{2} +(0.0132545 + 0.00962997i) q^{3} +(0.0202979 + 0.0624704i) q^{4} +(-0.655415 + 2.01716i) q^{5} +(0.00727647 + 0.0223947i) q^{6} +(-0.917632 - 0.666699i) q^{7} +(0.859096 - 2.64402i) q^{8} +(-0.926968 - 2.85291i) q^{9} +O(q^{10})$	\(q+(1.16276 + 0.844794i) q^{2} +(0.0132545 + 0.00962997i) q^{3} +(0.0202979 + 0.0624704i) q^{4} +(-0.655415 + 2.01716i) q^{5} +(0.00727647 + 0.0223947i) q^{6} +(-0.917632 - 0.666699i) q^{7} +(0.859096 - 2.64402i) q^{8} +(-0.926968 - 2.85291i) q^{9} +(-2.46618 + 1.79178i) q^{10} +(1.39298 + 1.01206i) q^{11} +(-0.000332549 + 0.00102348i) q^{12} +(-4.85502 + 3.52738i) q^{13} +(-0.503762 - 1.55042i) q^{14} +(-0.0281124 + 0.0204249i) q^{15} +(3.33886 - 2.42582i) q^{16} +(0.583987 - 0.424291i) q^{17} +(1.33228 - 4.10035i) q^{18} +(-1.56134 - 1.13438i) q^{19} -0.139316 q^{20} +(-0.00574248 - 0.0176735i) q^{21} +(0.764719 + 2.35356i) q^{22} +4.91590 q^{23} +(0.0368488 - 0.0267722i) q^{24} +(0.405716 + 0.294770i) q^{25} -8.62512 q^{26} +(0.0303753 - 0.0934855i) q^{27} +(0.0230230 - 0.0708574i) q^{28} +(-1.22156 + 3.75958i) q^{29} -0.0499427 q^{30} +(6.94996 + 5.04944i) q^{31} +0.371423 q^{32} +(0.00871718 + 0.0268287i) q^{33} +1.03747 q^{34} +(1.94627 - 1.41405i) q^{35} +(0.159407 - 0.115816i) q^{36} -9.13836 q^{37} +(-0.857145 - 2.63802i) q^{38} -0.0983194 q^{39} +(4.77036 + 3.46587i) q^{40} +2.90715 q^{41} +(0.00825337 - 0.0254013i) q^{42} +(-0.460194 + 1.41633i) q^{43} +(-0.0349492 + 0.107563i) q^{44} +6.36234 q^{45} +(5.71601 + 4.15292i) q^{46} +(-0.860367 + 0.625093i) q^{47} +0.0676155 q^{48} +(-1.76556 - 5.43383i) q^{49} +(0.222730 + 0.685493i) q^{50} +0.0118264 q^{51} +(-0.318903 - 0.231697i) q^{52} +(1.85735 - 5.71635i) q^{53} +(0.114295 - 0.0830402i) q^{54} +(-2.95447 + 2.14655i) q^{55} +(-2.55110 + 1.85348i) q^{56} +(-0.00977076 - 0.0300713i) q^{57} +(-4.59645 + 3.33952i) q^{58} +(4.45539 - 13.7123i) q^{59} +(-0.00184657 - 0.00134161i) q^{60} +(-3.14796 + 2.28712i) q^{61} +(3.81539 + 11.7426i) q^{62} +(-1.05142 + 3.23593i) q^{63} +(-6.24584 - 4.53787i) q^{64} +(-3.93323 - 12.1052i) q^{65} +(-0.0125288 + 0.0385596i) q^{66} +(2.91034 + 8.95712i) q^{67} +(0.0383593 + 0.0278697i) q^{68} +(0.0651579 + 0.0473400i) q^{69} +3.45762 q^{70} +(2.66591 - 7.99330i) q^{71} -8.33953 q^{72} +(-10.2243 - 7.42839i) q^{73} +(-10.6257 - 7.72003i) q^{74} +(0.00253894 + 0.00781407i) q^{75} +(0.0391733 - 0.120563i) q^{76} +(-0.603505 - 1.85740i) q^{77} +(-0.114322 - 0.0830596i) q^{78} +(3.33010 - 10.2490i) q^{79} +(2.70494 + 8.32494i) q^{80} +(-7.27920 + 5.28865i) q^{81} +(3.38031 + 2.45594i) q^{82} +(-4.04940 + 12.4628i) q^{83} +(0.000987512 - 0.000717469i) q^{84} +(0.473110 + 1.45608i) q^{85} +(-1.73160 + 1.25808i) q^{86} +(-0.0523958 + 0.0380678i) q^{87} +(3.87262 - 2.81362i) q^{88} +(-2.11242 + 6.50137i) q^{89} +(7.39786 + 5.37486i) q^{90} +6.80682 q^{91} +(0.0997823 + 0.307098i) q^{92} +(0.0434923 + 0.133856i) q^{93} -1.52847 q^{94} +(3.31155 - 2.40599i) q^{95} +(0.00492303 + 0.00357679i) q^{96} +9.51297 q^{97} +(2.53755 - 7.80976i) q^{98} +(1.59607 - 4.91220i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 6 q^{2} - q^{3} - 10 q^{4} - q^{5} - 8 q^{6} - q^{7} - q^{8} - 10 q^{9}+O(q^{10}) $ 20 * q - 6 * q^2 - q^3 - 10 * q^4 - q^5 - 8 * q^6 - q^7 - q^8 - 10 * q^9	\( 20 q - 6 q^{2} - q^{3} - 10 q^{4} - q^{5} - 8 q^{6} - q^{7} - q^{8} - 10 q^{9} + 15 q^{10} - q^{11} + 4 q^{12} + 3 q^{13} + 5 q^{14} - 5 q^{15} - 16 q^{16} - 2 q^{17} + 36 q^{18} + 3 q^{19} - 72 q^{20} + 25 q^{21} + 10 q^{22} - 22 q^{23} + 19 q^{24} + 14 q^{25} - 42 q^{26} + 2 q^{27} + 4 q^{28} - q^{29} + 20 q^{30} + 6 q^{31} + 52 q^{32} + 10 q^{33} - 34 q^{34} + 3 q^{35} + 20 q^{36} - 6 q^{37} + 25 q^{38} - 86 q^{39} + 65 q^{40} - 60 q^{41} + 27 q^{42} + 23 q^{43} + 37 q^{44} - 44 q^{45} - 19 q^{46} + 29 q^{47} - 96 q^{48} + 22 q^{49} + 36 q^{50} + 34 q^{51} + 43 q^{52} + 2 q^{53} + 4 q^{54} + 10 q^{55} + 31 q^{56} - 18 q^{57} - 33 q^{58} + 31 q^{59} - 38 q^{60} - 2 q^{61} + 5 q^{62} + 23 q^{63} - 65 q^{64} + 54 q^{65} - 94 q^{66} - 38 q^{67} - 3 q^{68} + 11 q^{69} - 34 q^{70} + 45 q^{71} - 10 q^{72} - 21 q^{73} + 21 q^{74} + 13 q^{75} - q^{76} - 12 q^{77} - 6 q^{78} - 59 q^{79} - 16 q^{80} - 35 q^{81} + 53 q^{82} - 15 q^{83} - 33 q^{84} + 13 q^{85} - 19 q^{86} + 49 q^{87} - 64 q^{88} + 16 q^{89} + 86 q^{90} - 18 q^{91} + 86 q^{92} - 62 q^{94} + 15 q^{95} + 107 q^{96} - 58 q^{97} - 30 q^{98} + 30 q^{99}+O(q^{100}) \) 20 * q - 6 * q^2 - q^3 - 10 * q^4 - q^5 - 8 * q^6 - q^7 - q^8 - 10 * q^9 + 15 * q^10 - q^11 + 4 * q^12 + 3 * q^13 + 5 * q^14 - 5 * q^15 - 16 * q^16 - 2 * q^17 + 36 * q^18 + 3 * q^19 - 72 * q^20 + 25 * q^21 + 10 * q^22 - 22 * q^23 + 19 * q^24 + 14 * q^25 - 42 * q^26 + 2 * q^27 + 4 * q^28 - q^29 + 20 * q^30 + 6 * q^31 + 52 * q^32 + 10 * q^33 - 34 * q^34 + 3 * q^35 + 20 * q^36 - 6 * q^37 + 25 * q^38 - 86 * q^39 + 65 * q^40 - 60 * q^41 + 27 * q^42 + 23 * q^43 + 37 * q^44 - 44 * q^45 - 19 * q^46 + 29 * q^47 - 96 * q^48 + 22 * q^49 + 36 * q^50 + 34 * q^51 + 43 * q^52 + 2 * q^53 + 4 * q^54 + 10 * q^55 + 31 * q^56 - 18 * q^57 - 33 * q^58 + 31 * q^59 - 38 * q^60 - 2 * q^61 + 5 * q^62 + 23 * q^63 - 65 * q^64 + 54 * q^65 - 94 * q^66 - 38 * q^67 - 3 * q^68 + 11 * q^69 - 34 * q^70 + 45 * q^71 - 10 * q^72 - 21 * q^73 + 21 * q^74 + 13 * q^75 - q^76 - 12 * q^77 - 6 * q^78 - 59 * q^79 - 16 * q^80 - 35 * q^81 + 53 * q^82 - 15 * q^83 - 33 * q^84 + 13 * q^85 - 19 * q^86 + 49 * q^87 - 64 * q^88 + 16 * q^89 + 86 * q^90 - 18 * q^91 + 86 * q^92 - 62 * q^94 + 15 * q^95 + 107 * q^96 - 58 * q^97 - 30 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/71\mathbb{Z}\right)^\times$.

$n$	$7$
$\chi(n)$	$e\left(\frac{1}{5}\right)$

Coefficient data

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

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

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

$2$	1.16276	+	0.844794i	0.822195	+	0.597359i	0.917340	−	0.398104i	$-0.130332\pi$
$2$	1.16276	+	0.844794i	0.822195	+	0.597359i	−0.0951455	+	0.995463i	$0.530332\pi$
$3$	0.0132545	+	0.00962997i	0.00765250	+	0.00555986i	0.591605	−	0.806228i	$-0.298495\pi$
$3$	0.0132545	+	0.00962997i	0.00765250	+	0.00555986i	−0.583952	+	0.811788i	$0.698495\pi$
$4$	0.0202979	+	0.0624704i	0.0101489	+	0.0312352i
$5$	−0.655415	+	2.01716i	−0.293111	+	0.902102i	0.690739	+	0.723104i	$0.257285\pi$
$5$	−0.655415	+	2.01716i	−0.293111	+	0.902102i	−0.983850	+	0.178997i	$0.942715\pi$
$6$	0.00727647	+	0.0223947i	0.00297060	+	0.00914258i
$7$	−0.917632	−	0.666699i	−0.346832	−	0.251988i	0.400707	−	0.916206i	$-0.368765\pi$
$7$	−0.917632	−	0.666699i	−0.346832	−	0.251988i	−0.747539	+	0.664218i	$0.768765\pi$
$8$	0.859096	−	2.64402i	0.303736	−	0.934804i
$9$	−0.926968	−	2.85291i	−0.308989	−	0.950971i
$10$	−2.46618	+	1.79178i	−0.779873	+	0.566611i
$11$	1.39298	+	1.01206i	0.420000	+	0.305148i	0.777638	−	0.628713i	$-0.216418\pi$
$11$	1.39298	+	1.01206i	0.420000	+	0.305148i	−0.357638	+	0.933860i	$0.616418\pi$
$12$	−0.000332549		0.00102348i	−9.59987e−5		0.000295454i
$13$	−4.85502	+	3.52738i	−1.34654	+	0.978318i	−0.347364	+	0.937730i	$0.612923\pi$
$13$	−4.85502	+	3.52738i	−1.34654	+	0.978318i	−0.999176	+	0.0405878i	$0.987077\pi$
$14$	−0.503762	−	1.55042i	−0.134636	−	0.414367i
$15$	−0.0281124	+	0.0204249i	−0.00725859	+	0.00527367i
$16$	3.33886	−	2.42582i	0.834715	−	0.606456i
$17$	0.583987	−	0.424291i	0.141638	−	0.102906i	−0.514710	−	0.857364i	$-0.672100\pi$
$17$	0.583987	−	0.424291i	0.141638	−	0.102906i	0.656348	+	0.754459i	$0.272100\pi$
$18$	1.33228	−	4.10035i	0.314022	−	0.966461i
$19$	−1.56134	−	1.13438i	−0.358196	−	0.260245i	0.394103	−	0.919066i	$-0.371055\pi$
$19$	−1.56134	−	1.13438i	−0.358196	−	0.260245i	−0.752299	+	0.658821i	$0.771055\pi$
$20$	−0.139316			−0.0311521
$21$	−0.00574248	−	0.0176735i	−0.00125311	−	0.00385668i
$22$	0.764719	+	2.35356i	0.163039	+	0.501781i
$23$	4.91590			1.02504			0.512518	−	0.858676i	$-0.328713\pi$
$23$	4.91590			1.02504			0.512518	+	0.858676i	$0.328713\pi$
$24$	0.0368488	−	0.0267722i	0.00752172	−	0.00546485i
$25$	0.405716	+	0.294770i	0.0811433	+	0.0589540i
$26$	−8.62512			−1.69153
$27$	0.0303753	−	0.0934855i	0.00584572	−	0.0179913i
$28$	0.0230230	−	0.0708574i	0.00435093	−	0.0133908i
$29$	−1.22156	+	3.75958i	−0.226838	+	0.698137i	0.771261	+	0.636519i	$0.219626\pi$
$29$	−1.22156	+	3.75958i	−0.226838	+	0.698137i	−0.998100	+	0.0616182i	$0.980374\pi$
$30$	−0.0499427			−0.00911825
$31$	6.94996	+	5.04944i	1.24825	+	0.906906i	0.998119	−	0.0613062i	$-0.0195266\pi$
$31$	6.94996	+	5.04944i	1.24825	+	0.906906i	0.250130	+	0.968212i	$0.419527\pi$
$32$	0.371423			0.0656590
$33$	0.00871718	+	0.0268287i	0.00151747	+	0.00467028i
$34$	1.03747			0.177925
$35$	1.94627	−	1.41405i	0.328979	−	0.239018i
$36$	0.159407	−	0.115816i	0.0265679	−	0.0193027i
$37$	−9.13836			−1.50234			−0.751168	−	0.660111i	$-0.770509\pi$
$37$	−9.13836			−1.50234			−0.751168	+	0.660111i	$0.770509\pi$
$38$	−0.857145	−	2.63802i	−0.139047	−	0.427944i
$39$	−0.0983194			−0.0157437
$40$	4.77036	+	3.46587i	0.754260	+	0.548002i
$41$	2.90715			0.454020			0.227010	−	0.973892i	$-0.427105\pi$
$41$	2.90715			0.454020			0.227010	+	0.973892i	$0.427105\pi$
$42$	0.00825337	−	0.0254013i	0.00127352	−	0.00391950i
$43$	−0.460194	+	1.41633i	−0.0701789	+	0.215989i	−0.979995	−	0.199024i	$-0.936223\pi$
$43$	−0.460194	+	1.41633i	−0.0701789	+	0.215989i	0.909816	+	0.415013i	$0.136223\pi$
$44$	−0.0349492	+	0.107563i	−0.00526880	+	0.0162157i
$45$	6.36234			0.948441
$46$	5.71601	+	4.15292i	0.842780	+	0.612315i
$47$	−0.860367	+	0.625093i	−0.125497	+	0.0911792i	−0.648763	−	0.760990i	$-0.724713\pi$
$47$	−0.860367	+	0.625093i	−0.125497	+	0.0911792i	0.523266	+	0.852169i	$0.324713\pi$
$48$	0.0676155			0.00975946
$49$	−1.76556	−	5.43383i	−0.252223	−	0.776261i
$50$	0.222730	+	0.685493i	0.0314988	+	0.0969434i
$51$	0.0118264			0.00165602
$52$	−0.318903	−	0.231697i	−0.0442239	−	0.0321305i
$53$	1.85735	−	5.71635i	0.255127	−	0.785201i	−0.738677	−	0.674059i	$-0.764549\pi$
$53$	1.85735	−	5.71635i	0.255127	−	0.785201i	0.993805	−	0.111142i	$-0.0354508\pi$
$54$	0.114295	−	0.0830402i	0.0155536	−	0.0113003i
$55$	−2.95447	+	2.14655i	−0.398381	+	0.289440i
$56$	−2.55110	+	1.85348i	−0.340905	+	0.247682i
$57$	−0.00977076	−	0.0300713i	−0.00129417	−	0.00398304i
$58$	−4.59645	+	3.33952i	−0.603544	+	0.438500i
$59$	4.45539	−	13.7123i	0.580043	−	1.78519i	−0.0382845	−	0.999267i	$-0.512189\pi$
$59$	4.45539	−	13.7123i	0.580043	−	1.78519i	0.618327	−	0.785921i	$-0.287811\pi$
$60$	−0.00184657	−	0.00134161i	−0.000238391	−	0.000173201i
$61$	−3.14796	+	2.28712i	−0.403055	+	0.292836i	−0.770784	−	0.637097i	$-0.780135\pi$
$61$	−3.14796	+	2.28712i	−0.403055	+	0.292836i	0.367729	+	0.929933i	$0.380135\pi$
$62$	3.81539	+	11.7426i	0.484555	+	1.49131i
$63$	−1.05142	+	3.23593i	−0.132466	+	0.407689i
$64$	−6.24584	−	4.53787i	−0.780730	−	0.567234i
$65$	−3.93323	−	12.1052i	−0.487858	−	1.50147i
$66$	−0.0125288	+	0.0385596i	−0.00154218	+	0.00474635i
$67$	2.91034	+	8.95712i	0.355555	+	1.09429i	0.955687	+	0.294385i	$0.0951149\pi$
$67$	2.91034	+	8.95712i	0.355555	+	1.09429i	−0.600132	+	0.799901i	$0.704885\pi$
$68$	0.0383593	+	0.0278697i	0.00465175	+	0.00337969i
$69$	0.0651579	+	0.0473400i	0.00784409	+	0.00569906i
$70$	3.45762			0.413265
$71$	2.66591	−	7.99330i	0.316385	−	0.948631i
$71$	2.66591	−	7.99330i	0.316385	−	0.948631i
$72$	−8.33953			−0.982823
$73$	−10.2243	−	7.42839i	−1.19666	−	0.869428i	−0.202712	−	0.979238i	$-0.564975\pi$
$73$	−10.2243	−	7.42839i	−1.19666	−	0.869428i	−0.993953	+	0.109811i	$0.964975\pi$
$74$	−10.6257	−	7.72003i	−1.23521	−	0.897435i
$75$	0.00253894	+	0.00781407i	0.000293172	+	0.000902291i
$76$	0.0391733	−	0.120563i	0.00449349	−	0.0138295i
$77$	−0.603505	−	1.85740i	−0.0687758	−	0.211670i
$78$	−0.114322	−	0.0830596i	−0.0129444	−	0.00940465i
$79$	3.33010	−	10.2490i	0.374665	−	1.15310i	−0.569039	−	0.822310i	$-0.692685\pi$
$79$	3.33010	−	10.2490i	0.374665	−	1.15310i	0.943704	−	0.330790i	$-0.107315\pi$
$80$	2.70494	+	8.32494i	0.302421	+	0.930756i
$81$	−7.27920	+	5.28865i	−0.808800	+	0.587627i
$82$	3.38031	+	2.45594i	0.373293	+	0.271213i
$83$	−4.04940	+	12.4628i	−0.444480	+	1.36797i	0.438574	+	0.898695i	$0.355484\pi$
$83$	−4.04940	+	12.4628i	−0.444480	+	1.36797i	−0.883053	+	0.469273i	$0.844516\pi$
$84$	0.000987512	0	0.000717469i	0.000107746	0	7.82823e-5i
$85$	0.473110	+	1.45608i	0.0513160	+	0.157934i
$86$	−1.73160	+	1.25808i	−0.186724	+	0.135663i
$87$	−0.0523958	+	0.0380678i	−0.00561742	+	0.00408130i
$88$	3.87262	−	2.81362i	0.412822	−	0.299933i
$89$	−2.11242	+	6.50137i	−0.223916	+	0.689144i	0.774483	+	0.632594i	$0.218010\pi$
$89$	−2.11242	+	6.50137i	−0.223916	+	0.689144i	−0.998400	+	0.0565494i	$0.981990\pi$
$90$	7.39786	+	5.37486i	0.779803	+	0.566560i
$91$	6.80682			0.713548
$92$	0.0997823	+	0.307098i	0.0104030	+	0.0320172i
$93$	0.0434923	+	0.133856i	0.00450995	+	0.0138802i
$94$	−1.52847			−0.157650
$95$	3.31155	−	2.40599i	0.339758	−	0.246849i
$96$	0.00492303	+	0.00357679i	0.000502455	+	0.000365055i
$97$	9.51297			0.965896			0.482948	−	0.875649i	$-0.339566\pi$
$97$	9.51297			0.965896			0.482948	+	0.875649i	$0.339566\pi$
$98$	2.53755	−	7.80976i	0.256331	−	0.788905i
$99$	1.59607	−	4.91220i	0.160411	−	0.493695i
$100$	−0.0101792	+	0.0313285i	−0.00101792	+	0.00313285i
$101$	2.10867			0.209821			0.104910	−	0.994482i	$-0.466544\pi$
$101$	2.10867			0.209821			0.104910	+	0.994482i	$0.466544\pi$
$102$	0.0137512	+	0.00999084i	0.00136157	+	0.000989241i
$103$	−2.42268			−0.238713			−0.119357	−	0.992851i	$-0.538083\pi$
$103$	−2.42268			−0.238713			−0.119357	+	0.992851i	$0.538083\pi$
$104$	5.15555	+	15.8671i	0.505543	+	1.55590i
$105$	0.0394141			0.00384642
$106$	6.98879	−	5.07766i	0.678812	−	0.493185i
$107$	12.9618	−	9.41731i	1.25307	−	0.910406i	0.254670	−	0.967028i	$-0.418033\pi$
$107$	12.9618	−	9.41731i	1.25307	−	0.910406i	0.998396	+	0.0566225i	$0.0180331\pi$
$108$	0.00645663			0.000621289
$109$	2.67668	+	8.23796i	0.256379	+	0.789053i	0.993555	+	0.113352i	$0.0361589\pi$
$109$	2.67668	+	8.23796i	0.256379	+	0.789053i	−0.737176	+	0.675701i	$0.763841\pi$
$110$	−5.24873			−0.500446
$111$	−0.121124	−	0.0880021i	−0.0114966	−	0.00835279i
$112$	−4.68114			−0.442326
$113$	−1.91260	+	5.88636i	−0.179922	+	0.553742i	−0.999824	−	0.0187612i	$-0.994028\pi$
$113$	−1.91260	+	5.88636i	−0.179922	+	0.553742i	0.819902	+	0.572504i	$0.194028\pi$
$114$	0.0140430	−	0.0432200i	0.00131525	−	0.00404792i
$115$	−3.22196	+	9.91616i	−0.300449	+	0.924687i
$116$	−0.259658			−0.0241086
$117$	14.5638	+	10.5812i	1.34642	+	0.978231i
$118$	16.7646	−	12.1802i	1.54331	−	1.12128i
$119$	−0.818759			−0.0750555
$120$	0.0298526	+	0.0918768i	0.00272515	+	0.00838716i
$121$	−2.48306	−	7.64206i	−0.225732	−	0.694733i
$122$	−5.59246			−0.506318
$123$	0.0385328	+	0.0279957i	0.00347439	+	0.00252429i
$124$	−0.174371	+	0.536659i	−0.0156590	+	0.0481934i
$125$	−9.44001	+	6.85857i	−0.844340	+	0.613449i
$126$	−3.95624	+	2.87438i	−0.352450	+	0.256070i
$127$	−12.9104	+	9.37999i	−1.14562	+	0.832340i	−0.987892	−	0.155144i	$-0.950416\pi$
$127$	−12.9104	+	9.37999i	−1.14562	+	0.832340i	−0.157725	+	0.987483i	$0.550416\pi$
$128$	−3.65840	−	11.2594i	−0.323360	−	0.995198i
$129$	−0.0197389	+	0.0143411i	−0.00173791	+	0.00126267i
$130$	5.65304	−	17.3983i	0.495804	−	1.52593i
$131$	−0.295430	−	0.214643i	−0.0258119	−	0.0187534i	0.574805	−	0.818291i	$-0.305078\pi$
$131$	−0.295430	−	0.214643i	−0.0258119	−	0.0187534i	−0.600616	+	0.799537i	$0.705078\pi$
$132$	−0.00149906	+	0.00108913i	−0.000130476	+	9.47967e-5i
$133$	0.676446	+	2.08189i	0.0586553	+	0.180523i
$134$	−4.18289	+	12.8736i	−0.361347	+	1.11211i
$135$	0.168667	+	0.122544i	0.0145165	+	0.0105469i
$136$	−0.620136	−	1.90858i	−0.0531762	−	0.163660i
$137$	−4.70004	+	14.4652i	−0.401551	+	1.23585i	0.522189	+	0.852830i	$0.325115\pi$
$137$	−4.70004	+	14.4652i	−0.401551	+	1.23585i	−0.923741	+	0.383018i	$0.874885\pi$
$138$	0.0357704	+	0.110090i	0.00304498	+	0.00937148i
$139$	−13.9991	−	10.1709i	−1.18738	−	0.862686i	−0.194399	−	0.980922i	$-0.562276\pi$
$139$	−13.9991	−	10.1709i	−1.18738	−	0.862686i	−0.992985	+	0.118237i	$0.962276\pi$
$140$	0.127841	+	0.0928820i	0.0108045	+	0.00784996i
$141$	−0.0174234			−0.00146731
$142$	9.85251	−	7.04214i	0.826804	−	0.590963i
$143$	−10.3329			−0.864078
$144$	−10.0157	−	7.27682i	−0.834640	−	0.606401i
$145$	−6.78305	−	4.92817i	−0.563302	−	0.409263i
$146$	−5.61294	−	17.2749i	−0.464530	−	1.42968i
$147$	0.0289260	−	0.0890250i	0.00238577	−	0.00734266i
$148$	−0.185489	−	0.570877i	−0.0152471	−	0.0469258i
$149$	14.8413	+	10.7829i	1.21585	+	0.883367i	0.995749	−	0.0921098i	$-0.0293611\pi$
$149$	14.8413	+	10.7829i	1.21585	+	0.883367i	0.220102	+	0.975477i	$0.429361\pi$
$150$	−0.00364910	+	0.0112308i	−0.000297947	+	0.000916988i
$151$	−3.08654	−	9.49939i	−0.251179	−	0.773050i	−0.994558	−	0.104180i	$-0.966778\pi$
$151$	−3.08654	−	9.49939i	−0.251179	−	0.773050i	0.743379	−	0.668870i	$-0.233222\pi$
$152$	−4.34067	+	3.15368i	−0.352075	+	0.255797i
$153$	−1.75180	−	1.27276i	−0.141625	−	0.102897i
$154$	0.867387	−	2.66954i	0.0698960	−	0.215118i
$155$	−14.7406	+	10.7097i	−1.18400	+	0.860224i
$156$	−0.00199567	−	0.00614205i	−0.000159782	−	0.000491758i
$157$	12.4533	−	9.04788i	0.993885	−	0.722100i	0.0331164	−	0.999452i	$-0.489457\pi$
$157$	12.4533	−	9.04788i	0.993885	−	0.722100i	0.960768	+	0.277352i	$0.0894568\pi$
$158$	12.5304	−	9.10385i	0.996863	−	0.724264i
$159$	0.0796666	−	0.0578812i	0.00631797	−	0.00459027i
$160$	−0.243436	+	0.749220i	−0.0192453	+	0.0592311i
$161$	−4.51099	−	3.27743i	−0.355516	−	0.258297i
$162$	−12.9318			−1.01602
$163$	1.50020	+	4.61714i	0.117505	+	0.361643i	0.992461	−	0.122559i	$-0.0391101\pi$
$163$	1.50020	+	4.61714i	0.117505	+	0.361643i	−0.874956	+	0.484202i	$0.839110\pi$
$164$	0.0590089	+	0.181611i	0.00460782	+	0.0141814i
$165$	−0.0598312			−0.00465785
$166$	−15.2370	+	11.0703i	−1.18262	+	0.859222i
$167$	18.6836	+	13.5744i	1.44578	+	1.05042i	0.986794	+	0.161979i	$0.0517878\pi$
$167$	18.6836	+	13.5744i	1.44578	+	1.05042i	0.458988	+	0.888443i	$0.348212\pi$
$168$	−0.0516626			−0.00398586
$169$	7.11159	−	21.8872i	0.547045	−	1.68363i
$170$	−0.679977	+	2.09275i	−0.0521518	+	0.160507i
$171$	−1.78898	+	5.50591i	−0.136807	+	0.421047i
$172$	−0.0978197			−0.00745868
$173$	12.3012	+	8.93737i	0.935246	+	0.679496i	0.947272	−	0.320432i	$-0.103828\pi$
$173$	12.3012	+	8.93737i	0.935246	+	0.679496i	−0.0120260	+	0.999928i	$0.503828\pi$
$174$	−0.0930832			−0.00705662
$175$	−0.175775	−	0.540981i	−0.0132874	−	0.0408943i
$176$	7.10604			0.535638
$177$	0.191103	−	0.138844i	0.0143642	−	0.0104362i
$178$	−7.94855	+	5.77496i	−0.595769	+	0.432852i
$179$	0.748086			0.0559146			0.0279573	−	0.999609i	$-0.491100\pi$
$179$	0.748086			0.0559146			0.0279573	+	0.999609i	$0.491100\pi$
$180$	0.129142	+	0.397458i	0.00962566	+	0.0296247i
$181$	−12.2797			−0.912743			−0.456371	−	0.889789i	$-0.650851\pi$
$181$	−12.2797			−0.912743			−0.456371	+	0.889789i	$0.650851\pi$
$182$	7.91469	+	5.75036i	0.586676	+	0.426245i
$183$	−0.0637496			−0.00471250
$184$	4.22323	−	12.9978i	0.311341	−	0.958208i
$185$	5.98942	−	18.4335i	0.440351	−	1.35526i
$186$	−0.0625093	+	0.192384i	−0.00458341	+	0.0141063i
$187$	1.24289			0.0908892
$188$	−0.0565134	−	0.0410594i	−0.00412166	−	0.00299456i
$189$	−0.0902000	+	0.0655341i	−0.00656108	+	0.00476691i
$190$	5.88310			0.426805
$191$	1.95895	+	6.02902i	0.141745	+	0.436245i	0.996578	−	0.0826576i	$-0.0263408\pi$
$191$	1.95895	+	6.02902i	0.141745	+	0.436245i	−0.854833	+	0.518902i	$0.826341\pi$
$192$	−0.0390860	−	0.120294i	−0.00282079	−	0.00868151i
$193$	3.43317			0.247125			0.123562	−	0.992337i	$-0.460568\pi$
$193$	3.43317			0.247125			0.123562	+	0.992337i	$0.460568\pi$
$194$	11.0613	+	8.03650i	0.794155	+	0.576987i
$195$	0.0644400	−	0.198326i	0.00461465	−	0.0142024i
$196$	0.303616	−	0.220590i	0.0216869	−	0.0157564i
$197$	−10.1132	+	7.34766i	−0.720535	+	0.523499i	−0.886555	−	0.462623i	$-0.846908\pi$
$197$	−10.1132	+	7.34766i	−0.720535	+	0.523499i	0.166020	+	0.986122i	$0.446908\pi$
$198$	6.00565	−	4.36336i	0.426803	−	0.310090i
$199$	3.51311	+	10.8123i	0.249038	+	0.766460i	0.994946	+	0.100411i	$0.0320159\pi$
$199$	3.51311	+	10.8123i	0.249038	+	0.766460i	−0.745908	+	0.666049i	$0.767984\pi$
$200$	1.12793	−	0.819488i	0.0797566	−	0.0579466i
$201$	−0.0476816	+	0.146749i	−0.00336320	+	0.0103509i
$202$	2.45188	+	1.78139i	0.172514	+	0.125338i
$203$	3.62745	−	2.63550i	0.254597	−	0.184976i
$204$	0.000240050	0	0.000738798i	1.68069e−5	0	5.17262e-5i
$205$	−1.90539	+	5.86419i	−0.133078	+	0.409572i
$206$	−2.81699	−	2.04666i	−0.196269	−	0.142598i
$207$	−4.55688	−	14.0246i	−0.316725	−	0.974780i
$208$	−7.65343	+	23.5548i	−0.530670	+	1.63323i
$209$	−1.02686	−	3.16034i	−0.0710292	−	0.218605i
$210$	0.0458290	+	0.0332968i	0.00316250	+	0.00229769i
$211$	−0.355918	−	0.258590i	−0.0245024	−	0.0178020i	0.575467	−	0.817825i	$-0.304820\pi$
$211$	−0.355918	−	0.258590i	−0.0245024	−	0.0178020i	−0.599969	+	0.800023i	$0.704820\pi$
$212$	0.394803			0.0271152
$213$	0.112311	−	0.0802747i	0.00769540	−	0.00550033i
$214$	23.0271			1.57410
$215$	−2.55535	−	1.85657i	−0.174273	−	0.126617i
$216$	−0.221083	−	0.160626i	−0.0150428	−	0.0109292i
$217$	−3.01105	−	9.26705i	−0.204403	−	0.629089i
$218$	−3.84705	+	11.8400i	−0.260555	+	0.801906i
$219$	−0.0639830	−	0.196919i	−0.00432357	−	0.0133066i
$220$	−0.194065	−	0.140996i	−0.0130839	−	0.00950598i
$221$	−1.33863	+	4.11988i	−0.0900461	+	0.277133i
$222$	−0.0664950	−	0.204650i	−0.00446285	−	0.0137352i
$223$	−18.6037	+	13.5164i	−1.24580	+	0.905123i	−0.997970	−	0.0636816i	$-0.979716\pi$
$223$	−18.6037	+	13.5164i	−1.24580	+	0.905123i	−0.247825	+	0.968805i	$0.579716\pi$
$224$	−0.340830	−	0.247627i	−0.0227726	−	0.0165453i
$225$	0.464868	−	1.43072i	0.0309912	−	0.0953811i
$226$	−7.19665	+	5.22867i	−0.478714	+	0.347806i
$227$	−3.75853	−	11.5676i	−0.249463	−	0.767767i	−0.994870	−	0.101158i	$-0.967745\pi$
$227$	−3.75853	−	11.5676i	−0.249463	−	0.767767i	0.745408	−	0.666609i	$-0.232255\pi$
$228$	0.00168024	−	0.00122077i	0.000111277	−	8.08472e-5i
$229$	13.0216	−	9.46078i	0.860495	−	0.625186i	−0.0675249	−	0.997718i	$-0.521510\pi$
$229$	13.0216	−	9.46078i	0.860495	−	0.625186i	0.928019	+	0.372532i	$0.121510\pi$
$230$	−12.1235	+	8.80822i	−0.799398	+	0.580797i
$231$	0.00988751	−	0.0304306i	0.000650550	−	0.00200219i
$232$	8.89099	+	6.45968i	0.583722	+	0.424099i
$233$	0.558939			0.0366173			0.0183086	−	0.999832i	$-0.494172\pi$
$233$	0.558939			0.0366173			0.0183086	+	0.999832i	$0.494172\pi$
$234$	7.99521	+	24.6067i	0.522663	+	1.60859i
$235$	−0.697016	−	2.14519i	−0.0454683	−	0.139937i
$236$	0.947047			0.0616475
$237$	0.142836	−	0.103777i	0.00927821	−	0.00674101i
$238$	−0.952020	−	0.691683i	−0.0617103	−	0.0448351i
$239$	−14.9363			−0.966149			−0.483075	−	0.875579i	$-0.660480\pi$
$239$	−14.9363			−0.966149			−0.483075	+	0.875579i	$0.660480\pi$
$240$	−0.0443162	+	0.136391i	−0.00286060	+	0.00880403i
$241$	5.76306	−	17.7369i	0.371232	−	1.14253i	−0.574755	−	0.818326i	$-0.694902\pi$
$241$	5.76306	−	17.7369i	0.371232	−	1.14253i	0.945986	−	0.324207i	$-0.105098\pi$
$242$	3.56877	−	10.9835i	0.229409	−	0.706049i
$243$	−0.442301			−0.0283736
$244$	−0.206774	−	0.150230i	−0.0132374	−	0.00961751i
$245$	12.1181			0.774196
$246$	0.0211538	+	0.0651046i	0.00134871	+	0.00415092i
$247$	11.5817			0.736928
$248$	19.3215	−	14.0379i	1.22692	−	0.891408i
$249$	−0.173689	+	0.126192i	−0.0110071	+	0.00799712i
$250$	−16.7705			−1.06066
$251$	−5.41439	−	16.6638i	−0.341753	−	1.05181i	−0.963299	−	0.268431i	$-0.913495\pi$
$251$	−5.41439	−	16.6638i	−0.341753	−	1.05181i	0.621546	−	0.783378i	$-0.286505\pi$
$252$	−0.223492			−0.0140786
$253$	6.84776	+	4.97519i	0.430515	+	0.312787i
$254$	−22.9359			−1.43913
$255$	−0.00775118	+	0.0238557i	−0.000485398	+	0.00149390i
$256$	0.486629	−	1.49769i	0.0304143	−	0.0936056i
$257$	−3.42485	+	10.5406i	−0.213636	+	0.657505i	0.785611	+	0.618720i	$0.212349\pi$
$257$	−3.42485	+	10.5406i	−0.213636	+	0.657505i	−0.999248	+	0.0387847i	$0.987651\pi$
$258$	−0.0350668			−0.00218317
$259$	8.38565	+	6.09253i	0.521059	+	0.378571i
$260$	0.676383	−	0.491421i	0.0419475	−	0.0304766i
$261$	11.8581			0.733999
$262$	−0.162186	−	0.499156i	−0.0100199	−	0.0308379i
$263$	−6.90928	−	21.2646i	−0.426044	−	1.31123i	−0.901991	−	0.431755i	$-0.857894\pi$
$263$	−6.90928	−	21.2646i	−0.426044	−	1.31123i	0.475947	−	0.879474i	$-0.342106\pi$
$264$	0.0784247			0.00482671
$265$	10.3135	+	7.49317i	0.633551	+	0.460302i
$266$	−0.972222	+	2.99219i	−0.0596108	+	0.183463i
$267$	−0.0906071	+	0.0658299i	−0.00554506	+	0.00402872i
$268$	−0.500481	+	0.363621i	−0.0305717	+	0.0222117i
$269$	−0.832039	+	0.604511i	−0.0507303	+	0.0368577i	−0.612861	−	0.790190i	$-0.709982\pi$
$269$	−0.832039	+	0.604511i	−0.0507303	+	0.0368577i	0.562131	+	0.827048i	$0.309982\pi$
$270$	0.0925948	+	0.284977i	0.00563514	+	0.0173432i
$271$	−3.46828	+	2.51985i	−0.210683	+	0.153070i	−0.688123	−	0.725594i	$-0.741565\pi$
$271$	−3.46828	+	2.51985i	−0.210683	+	0.153070i	0.477440	+	0.878665i	$0.341565\pi$
$272$	0.920594	−	2.83330i	0.0558192	−	0.171794i
$273$	0.0902210	+	0.0655494i	0.00546042	+	0.00396723i
$274$	−17.6851	+	12.8490i	−1.06840	+	0.776237i
$275$	0.266830	+	0.821219i	0.0160905	+	0.0495213i
$276$	−0.00163478	+	0.00503134i	−9.84022e−5	+	0.000302851i
$277$	−10.2681	−	7.46023i	−0.616952	−	0.448242i	0.234903	−	0.972019i	$-0.424523\pi$
$277$	−10.2681	−	7.46023i	−0.616952	−	0.448242i	−0.851856	+	0.523777i	$0.824523\pi$
$278$	−7.68521	−	23.6526i	−0.460928	−	1.41859i
$279$	7.96323	−	24.5083i	0.476746	−	1.46727i
$280$	−2.06674	−	6.36078i	−0.123512	−	0.380130i
$281$	16.9432	+	12.3099i	1.01075	+	0.734350i	0.964365	−	0.264574i	$-0.0852313\pi$
$281$	16.9432	+	12.3099i	1.01075	+	0.734350i	0.0463806	+	0.998924i	$0.485231\pi$
$282$	−0.0202592	−	0.0147192i	−0.00120642	−	0.000876513i
$283$	−16.1114			−0.957723			−0.478862	−	0.877890i	$-0.658950\pi$
$283$	−16.1114			−0.957723			−0.478862	+	0.877890i	$0.658950\pi$
$284$	0.553457	+	0.00429355i	0.0328416	+	0.000254775i
$285$	0.0670626			0.00397245
$286$	−12.0146	−	8.72914i	−0.710440	−	0.516165i
$287$	−2.66769	−	1.93819i	−0.157469	−	0.114408i
$288$	−0.344297	−	1.05964i	−0.0202879	−	0.0624398i
$289$	−5.09227	+	15.6724i	−0.299545	+	0.921906i
$290$	−3.72376	−	11.4606i	−0.218667	−	0.672987i
$291$	0.126090	+	0.0916096i	0.00739152	+	0.00537025i
$292$	0.256523	−	0.789497i	0.0150119	−	0.0462018i
$293$	−1.86381	−	5.73623i	−0.108885	−	0.335114i	0.881738	−	0.471740i	$-0.156374\pi$
$293$	−1.86381	−	5.73623i	−0.108885	−	0.335114i	−0.990623	+	0.136626i	$0.956374\pi$
$294$	0.108842	−	0.0790781i	0.00634778	−	0.00461193i
$295$	24.7398	+	17.9745i	1.44040	+	1.04651i
$296$	−7.85073	+	24.1620i	−0.456314	+	1.40439i
$297$	0.136925	−	0.0994819i	0.00794520	−	0.00577253i
$298$	8.14761	+	25.0758i	0.471978	+	1.45260i
$299$	−23.8668	+	17.3402i	−1.38025	+	1.00281i
$300$	−0.000436613	0	0.000317218i	−2.52078e−5	0	1.83146e-5i
$301$	1.36655	−	0.992860i	0.0787669	−	0.0572275i
$302$	4.43613	−	13.6530i	0.255270	−	0.785641i
$303$	0.0279494	+	0.0203064i	0.00160565	+	0.00116657i
$304$	−7.96490			−0.456818
$305$	−2.55028	−	7.84895i	−0.146029	−	0.449430i
$306$	−0.961706	−	2.95983i	−0.0549770	−	0.169202i
$307$	−4.10008			−0.234004			−0.117002	−	0.993132i	$-0.537328\pi$
$307$	−4.10008			−0.234004			−0.117002	+	0.993132i	$0.537328\pi$
$308$	0.103782	−	0.0754024i	0.00591355	−	0.00429645i
$309$	−0.0321114	−	0.0233303i	−0.00182675	−	0.00132721i
$310$	−26.1873			−1.48734
$311$	5.36255	−	16.5042i	0.304082	−	0.935869i	−0.675936	−	0.736961i	$-0.736260\pi$
$311$	5.36255	−	16.5042i	0.304082	−	0.935869i	0.980018	−	0.198909i	$-0.0637397\pi$
$312$	−0.0844658	+	0.259959i	−0.00478193	+	0.0147173i
$313$	0.465234	−	1.43184i	0.0262966	−	0.0809326i	−0.937047	−	0.349203i	$-0.886452\pi$
$313$	0.465234	−	1.43184i	0.0262966	−	0.0809326i	0.963344	+	0.268271i	$0.0864522\pi$
$314$	22.1238			1.24852
$315$	−5.83828	−	4.24176i	−0.328950	−	0.238996i
$316$	0.707852			0.0398198
$317$	−8.32691	−	25.6276i	−0.467686	−	1.43939i	−0.855573	−	0.517683i	$-0.826795\pi$
$317$	−8.32691	−	25.6276i	−0.467686	−	1.43939i	0.387887	−	0.921707i	$-0.373205\pi$
$318$	0.141531			0.00793665
$319$	−5.50653	+	4.00073i	−0.308307	+	0.223998i
$320$	13.2472	−	9.62468i	0.740543	−	0.538036i
$321$	0.262491			0.0146508
$322$	−2.47644	−	7.62171i	−0.138007	−	0.424741i
$323$	−1.39311			−0.0775147
$324$	−0.478136	−	0.347386i	−0.0265631	−	0.0192992i
$325$	−3.00953			−0.166938
$326$	−2.15616	+	6.63599i	−0.119419	+	0.367533i
$327$	−0.0438532	+	0.134966i	−0.00242509	+	0.00746366i
$328$	2.49752	−	7.68657i	0.137902	−	0.424420i
$329$	1.20625			0.0665027
$330$	−0.0695693	−	0.0505450i	−0.00382966	−	0.00278241i
$331$	18.1810	−	13.2093i	0.999317	−	0.726046i	0.0373752	−	0.999301i	$-0.488100\pi$
$331$	18.1810	−	13.2093i	0.999317	−	0.726046i	0.961942	+	0.273255i	$0.0881003\pi$
$332$	−0.860749			−0.0472397
$333$	8.47097	+	26.0710i	0.464206	+	1.42868i
$334$	10.2569	+	31.5676i	0.561235	+	1.72730i
$335$	−19.9754			−1.09137
$336$	−0.0620462	−	0.0450792i	−0.00338490	−	0.00245927i
$337$	−0.402556	+	1.23894i	−0.0219286	+	0.0674894i	−0.961422	−	0.275078i	$-0.911296\pi$
$337$	−0.402556	+	1.23894i	−0.0219286	+	0.0674894i	0.939493	+	0.342567i	$0.111296\pi$
$338$	26.7593	−	19.4417i	1.45551	−	1.05749i
$339$	−0.0820360	+	0.0596026i	−0.00445558	+	0.00323717i
$340$	−0.0813589	+	0.0591107i	−0.00441230	+	0.00320573i
$341$	4.57082	+	14.0675i	0.247524	+	0.761800i
$342$	−6.73151	+	4.89073i	−0.363998	+	0.264460i
$343$	−4.45612	+	13.7145i	−0.240608	+	0.740515i
$344$	3.34947	+	2.43353i	0.180591	+	0.131207i
$345$	−0.138198	+	0.100407i	−0.00744032	+	0.00540571i
$346$	6.75314	+	20.7840i	0.363051	+	1.11736i
$347$	−2.67671	+	8.23806i	−0.143693	+	0.442242i	−0.996841	−	0.0794277i	$-0.974691\pi$
$347$	−2.67671	+	8.23806i	−0.143693	+	0.442242i	0.853147	+	0.521670i	$0.174691\pi$
$348$	−0.00344163	−	0.00250049i	−0.000184491	−	0.000134041i
$349$	6.24421	+	19.2177i	0.334245	+	1.02870i	0.967093	+	0.254424i	$0.0818857\pi$
$349$	6.24421	+	19.2177i	0.334245	+	1.02870i	−0.632848	+	0.774276i	$0.718114\pi$
$350$	0.252633	−	0.777525i	0.0135038	−	0.0415604i
$351$	0.182286	+	0.561019i	0.00972971	+	0.0299450i
$352$	0.517385	+	0.375903i	0.0275767	+	0.0200357i
$353$	5.78517	+	4.20317i	0.307914	+	0.223712i	0.731001	−	0.682377i	$-0.239054\pi$
$353$	5.78517	+	4.20317i	0.307914	+	0.223712i	−0.423087	+	0.906089i	$0.639054\pi$
$354$	0.339501			0.0180443
$355$	14.3765	+	10.6165i	0.763025	+	0.563466i
$356$	−0.449020			−0.0237980
$357$	−0.0108523	−	0.00788462i	−0.000574362	−	0.000417298i
$358$	0.869844	+	0.631978i	0.0459727	+	0.0334011i
$359$	8.21265	+	25.2759i	0.433447	+	1.33401i	0.894670	+	0.446728i	$0.147411\pi$
$359$	8.21265	+	25.2759i	0.433447	+	1.33401i	−0.461223	+	0.887284i	$0.652589\pi$
$360$	5.46586	−	16.8222i	0.288076	−	0.886606i
$361$	−4.72036	−	14.5278i	−0.248440	−	0.764619i
$362$	−14.2783	−	10.3738i	−0.750452	−	0.545236i
$363$	0.0406811	−	0.125204i	0.00213520	−	0.00657148i
$364$	0.138164	+	0.425224i	0.00724175	+	0.0222878i
$365$	21.6854	−	15.7554i	1.13507	−	0.824675i
$366$	−0.0741254	−	0.0538552i	−0.00387460	−	0.00281506i
$367$	0.459411	−	1.41392i	0.0239810	−	0.0738061i	−0.938350	−	0.345687i	$-0.887646\pi$
$367$	0.459411	−	1.41392i	0.0239810	−	0.0738061i	0.962331	+	0.271881i	$0.0876458\pi$
$368$	16.4135	−	11.9251i	0.855613	−	0.621639i
$369$	−2.69483	−	8.29384i	−0.140287	−	0.431760i
$370$	22.5368	−	16.3739i	1.17163	−	0.851241i
$371$	−5.51545	+	4.00721i	−0.286348	+	0.208044i
$372$	−0.00747921	+	0.00543397i	−0.000387779	+	0.000281738i
$373$	−8.68614	+	26.7332i	−0.449751	+	1.38419i	0.427437	+	0.904045i	$0.359416\pi$
$373$	−8.68614	+	26.7332i	−0.449751	+	1.38419i	−0.877188	+	0.480146i	$0.840584\pi$
$374$	1.44518	+	1.04999i	0.0747286	+	0.0542935i
$375$	−0.191170			−0.00987200
$376$	0.913625	+	2.81185i	0.0471166	+	0.145010i
$377$	−7.33075	−	22.5617i	−0.377553	−	1.16199i
$378$	−0.160244			−0.00824204
$379$	25.0902	−	18.2291i	1.28880	−	0.936366i	0.289017	−	0.957324i	$-0.406672\pi$
$379$	25.0902	−	18.2291i	1.28880	−	0.936366i	0.999780	+	0.0209581i	$0.00667167\pi$
$380$	0.217520	+	0.158038i	0.0111586	+	0.00810716i
$381$	−0.261451			−0.0133945
$382$	−2.81550	+	8.66521i	−0.144053	+	0.443351i
$383$	−3.33615	+	10.2676i	−0.170469	+	0.524651i	−0.999398	−	0.0347042i	$-0.988951\pi$
$383$	−3.33615	+	10.2676i	−0.170469	+	0.524651i	0.828928	+	0.559355i	$0.188951\pi$
$384$	0.0599372	−	0.184468i	0.00305866	−	0.00941359i
$385$	4.14222			0.211107
$386$	3.99195	+	2.90032i	0.203185	+	0.147622i
$387$	4.46726			0.227083
$388$	0.193093	+	0.594279i	0.00980281	+	0.0301699i
$389$	8.83348			0.447875			0.223938	−	0.974603i	$-0.428109\pi$
$389$	8.83348			0.447875			0.223938	+	0.974603i	$0.428109\pi$
$390$	0.242473	−	0.176167i	0.0122781	−	0.00892055i
$391$	2.87082	−	2.08577i	0.145184	−	0.105482i
$392$	−15.8840			−0.802261
$393$	−0.00184878	−	0.00568997i	−9.32588e−5	−	0.000287021i
$394$	−17.9665			−0.905137
$395$	18.4913	+	13.4347i	0.930396	+	0.675972i
$396$	0.339264			0.0170487
$397$	7.48793	−	23.0455i	0.375809	−	1.15662i	−0.567123	−	0.823633i	$-0.691944\pi$
$397$	7.48793	−	23.0455i	0.375809	−	1.15662i	0.942931	−	0.332987i	$-0.108056\pi$
$398$	−5.04922	+	15.5399i	−0.253095	+	0.778945i
$399$	−0.0110825	+	0.0341086i	−0.000554821	+	0.00170756i
$400$	2.06969			0.103484
$401$	15.0089	+	10.9046i	0.749511	+	0.544552i	0.895675	−	0.444709i	$-0.146693\pi$
$401$	15.0089	+	10.9046i	0.749511	+	0.544552i	−0.146164	+	0.989260i	$0.546693\pi$
$402$	−0.179415	+	0.130352i	−0.00894839	+	0.00650138i
$403$	−51.5534			−2.56806
$404$	0.0428015	+	0.131730i	0.00212946	+	0.00655379i
$405$	−5.89715	−	18.1496i	−0.293032	−	0.901860i
$406$	6.44431			0.319826
$407$	−12.7296	−	9.24857i	−0.630981	−	0.458434i
$408$	0.0101600	−	0.0312692i	0.000502994	−	0.00154806i
$409$	−18.1547	+	13.1901i	−0.897691	+	0.652211i	−0.937872	−	0.346982i	$-0.887207\pi$
$409$	−18.1547	+	13.1901i	−0.897691	+	0.652211i	0.0401807	+	0.999192i	$0.487207\pi$
$410$	−7.16954	+	5.20897i	−0.354078	+	0.257253i
$411$	−0.201596	+	0.146468i	−0.00994401	+	0.00722475i
$412$	−0.0491751	−	0.151346i	−0.00242269	−	0.00745626i
$413$	−13.2304	+	9.61243i	−0.651024	+	0.472997i
$414$	6.54938	−	20.1569i	0.321884	−	0.990658i
$415$	−22.4854	−	16.3366i	−1.10376	−	0.801932i
$416$	−1.80327	+	1.31015i	−0.0884124	+	0.0642354i
$417$	−0.0876051	−	0.269621i	−0.00429004	−	0.0132034i
$418$	1.47585	−	4.54220i	0.0721862	−	0.222166i
$419$	−10.3550	−	7.52335i	−0.505875	−	0.367540i	0.305381	−	0.952230i	$-0.401216\pi$
$419$	−10.3550	−	7.52335i	−0.505875	−	0.367540i	−0.811257	+	0.584690i	$0.801216\pi$
$420$	0.000800021		0.00246221i	3.90370e−5		0.000120144i
$421$	−11.0702	+	34.0705i	−0.539528	+	1.66050i	0.194129	+	0.980976i	$0.437812\pi$
$421$	−11.0702	+	34.0705i	−0.539528	+	1.66050i	−0.733657	+	0.679520i	$0.762188\pi$
$422$	−0.195392	−	0.601355i	−0.00951153	−	0.0292735i
$423$	2.58087	+	1.87511i	0.125486	+	0.0911711i
$424$	−13.5185	−	9.82178i	−0.656518	−	0.476988i
$425$	0.362001			0.0175596
$426$	0.198406	+	0.00153917i	0.00961279	+	7.45730e-5i
$427$	4.41349			0.213584
$428$	0.851400	+	0.618578i	0.0411540	+	0.0299001i
$429$	−0.136957	−	0.0995051i	−0.00661235	−	0.00480415i
$430$	−1.40284	−	4.31749i	−0.0676508	−	0.208208i
$431$	6.19823	−	19.0762i	0.298558	−	0.918868i	−0.683445	−	0.730002i	$-0.739519\pi$
$431$	6.19823	−	19.0762i	0.298558	−	0.918868i	0.982003	−	0.188866i	$-0.0604811\pi$
$432$	−0.125360	−	0.385820i	−0.00603141	−	0.0185628i
$433$	−5.64070	−	4.09821i	−0.271075	−	0.196947i	0.443940	−	0.896056i	$-0.353580\pi$
$433$	−5.64070	−	4.09821i	−0.271075	−	0.196947i	−0.715015	+	0.699109i	$0.753580\pi$
$434$	4.32763	−	13.3191i	0.207733	−	0.639336i
$435$	−0.0424479	−	0.130641i	−0.00203522	−	0.00626376i
$436$	−0.460298	+	0.334426i	−0.0220443	+	0.0160161i
$437$	−7.67540	−	5.57650i	−0.367164	−	0.266760i
$438$	0.0919595	−	0.283022i	0.00439400	−	0.0135233i
$439$	−1.68039	+	1.22087i	−0.0802005	+	0.0582690i	−0.627163	−	0.778888i	$-0.715784\pi$
$439$	−1.68039	+	1.22087i	−0.0802005	+	0.0582690i	0.546963	+	0.837157i	$0.315784\pi$
$440$	3.13735	+	9.65578i	0.149567	+	0.460321i
$441$	−13.8656	+	10.0740i	−0.660268	+	0.479713i
$442$	−5.03696	+	3.65956i	−0.239584	+	0.174068i
$443$	23.2647	−	16.9028i	1.10534	−	0.803077i	0.123417	−	0.992355i	$-0.460615\pi$
$443$	23.2647	−	16.9028i	1.10534	−	0.803077i	0.981923	+	0.189278i	$0.0606148\pi$
$444$	0.00303896	−	0.00935294i	0.000144222	−	0.000443871i
$445$	−11.7298	−	8.52219i	−0.556045	−	0.403991i
$446$	−33.0502			−1.56497
$447$	0.0928761	+	0.285843i	0.00439289	+	0.0135199i
$448$	2.70599	+	8.32819i	0.127846	+	0.393470i
$449$	−12.5076			−0.590268			−0.295134	−	0.955456i	$-0.595364\pi$
$449$	−12.5076			−0.590268			−0.295134	+	0.955456i	$0.595364\pi$
$450$	1.74919	−	1.27086i	0.0824576	−	0.0599090i
$451$	4.04960	+	2.94221i	0.190688	+	0.138543i
$452$	−0.406545			−0.0191223
$453$	0.0505682	−	0.155633i	0.00237590	−	0.00731228i
$454$	5.40195	−	16.6255i	0.253526	−	0.780273i
$455$	−4.46129	+	13.7304i	−0.209149	+	0.643693i
$456$	−0.0879033			−0.00411645
$457$	−7.27527	−	5.28579i	−0.340323	−	0.247259i	0.404475	−	0.914549i	$-0.367454\pi$
$457$	−7.27527	−	5.28579i	−0.340323	−	0.247259i	−0.744798	+	0.667290i	$0.767454\pi$
$458$	23.1334			1.08095
$459$	−0.0219263	−	0.0674822i	−0.00102343	−	0.00314980i
$460$	−0.684865			−0.0319320
$461$	−12.3930	+	9.00402i	−0.577198	+	0.419359i	−0.837713	−	0.546111i	$-0.816108\pi$
$461$	−12.3930	+	9.00402i	−0.577198	+	0.419359i	0.260515	+	0.965470i	$0.416108\pi$
$462$	0.0372044	−	0.0270306i	0.00173090	−	0.00125758i
$463$	28.3432			1.31722			0.658610	−	0.752484i	$-0.271145\pi$
$463$	28.3432			1.31722			0.658610	+	0.752484i	$0.271145\pi$
$464$	5.04145	+	15.5160i	0.234044	+	0.720312i
$465$	−0.298514			−0.0138433
$466$	0.649911	+	0.472188i	0.0301065	+	0.0218737i
$467$	−3.29775			−0.152602			−0.0763008	−	0.997085i	$-0.524311\pi$
$467$	−3.29775			−0.152602			−0.0763008	+	0.997085i	$0.524311\pi$
$468$	−0.365398	+	1.12458i	−0.0168905	+	0.0519837i
$469$	3.30107	−	10.1597i	0.152429	−	0.469130i
$470$	1.00179	−	3.08318i	0.0462089	−	0.142216i
$471$	0.252194			0.0116205
$472$	−32.4280	−	23.5603i	−1.49262	−	1.08445i
$473$	−2.07445	+	1.50718i	−0.0953835	+	0.0693002i
$474$	0.253754			0.0116553
$475$	−0.299080	−	0.920473i	−0.0137227	−	0.0422342i
$476$	−0.0166191	−	0.0511482i	−0.000761733	−	0.00234437i
$477$	−18.0300			−0.825535
$478$	−17.3673	−	12.6181i	−0.794363	−	0.577139i
$479$	−8.83215	+	27.1826i	−0.403551	+	1.24200i	0.518548	+	0.855049i	$0.326473\pi$
$479$	−8.83215	+	27.1826i	−0.403551	+	1.24200i	−0.922099	+	0.386954i	$0.873527\pi$
$480$	−0.0104416	+	0.00758626i	−0.000476591	+	0.000346264i
$481$	44.3669	−	32.2344i	2.02296	−	1.46976i
$482$	21.6851	−	15.7551i	0.987728	−	0.717626i
$483$	−0.0282295	−	0.0868813i	−0.00128448	−	0.00395324i
$484$	0.427002	−	0.310235i	0.0194092	−	0.0141016i
$485$	−6.23495	+	19.1892i	−0.283114	+	0.871337i
$486$	−0.514290	−	0.373653i	−0.0233286	−	0.0169493i
$487$	29.7848	−	21.6399i	1.34968	−	0.980597i	0.350649	−	0.936507i	$-0.385961\pi$
$487$	29.7848	−	21.6399i	1.34968	−	0.980597i	0.999028	−	0.0440903i	$-0.0140389\pi$
$488$	3.34282	+	10.2881i	0.151322	+	0.465722i
$489$	−0.0245785	+	0.0756449i	−0.00111148	+	0.00342078i
$490$	14.0904	+	10.2373i	0.636540	+	0.462473i
$491$	10.5775	+	32.5541i	0.477355	+	1.46915i	0.842755	+	0.538297i	$0.180932\pi$
$491$	10.5775	+	32.5541i	0.477355	+	1.46915i	−0.365400	+	0.930851i	$0.619068\pi$
$492$	−0.000966770		0.00297541i	−4.35854e−5		0.000134142i
$493$	0.881781	+	2.71384i	0.0397134	+	0.122225i
$494$	13.4668	+	9.78417i	0.605898	+	0.440211i
$495$	8.86261	+	6.43907i	0.398345	+	0.289414i
$496$	35.4540			1.59193
$497$	−7.77545	+	5.55755i	−0.348777	+	0.249290i
$498$	−0.308565			−0.0138271
$499$	22.6367	+	16.4465i	1.01336	+	0.736247i	0.964911	−	0.262579i	$-0.0845729\pi$
$499$	22.6367	+	16.4465i	1.01336	+	0.736247i	0.0484467	+	0.998826i	$0.484573\pi$
$500$	−0.620069	−	0.450507i	−0.0277303	−	0.0201473i
$501$	0.116921	+	0.359845i	0.00522364	+	0.0160767i
$502$	7.78183	−	23.9500i	0.347320	−	1.06894i
$503$	−6.41161	−	19.7329i	−0.285880	−	0.879847i	−0.986134	−	0.165953i	$-0.946930\pi$
$503$	−6.41161	−	19.7329i	−0.285880	−	0.879847i	0.700254	−	0.713894i	$-0.253070\pi$
$504$	7.65262	+	5.55995i	0.340875	+	0.247660i
$505$	−1.38206	+	4.25353i	−0.0615007	+	0.189280i
$506$	3.75928	+	11.5699i	0.167121	+	0.514344i
$507$	0.305034	−	0.221620i	0.0135470	−	0.00984249i
$508$	−0.848026	−	0.616127i	−0.0376251	−	0.0273362i
$509$	−0.264117	+	0.812869i	−0.0117068	+	0.0360298i	−0.956739	−	0.290947i	$-0.906030\pi$
$509$	−0.264117	+	0.812869i	−0.0117068	+	0.0360298i	0.945032	+	0.326976i	$0.106030\pi$
$510$	−0.0291659	+	0.0211903i	−0.00129149	+	0.000938321i
$511$	4.42965	+	13.6331i	0.195956	+	0.603091i
$512$	−17.3245	+	12.5870i	−0.765644	+	0.556273i
$513$	−0.153474	+	0.111506i	−0.00677606	+	0.00492309i
$514$	−12.8869	+	9.36290i	−0.568418	+	0.412980i
$515$	1.58786	−	4.88693i	0.0699694	−	0.215344i
$516$	−0.00129655		0.000942000i	−5.70775e−5		4.14693e-5i
$517$	−1.83111			−0.0805320
$518$	4.60356	+	14.1683i	0.202269	+	0.622519i
$519$	0.0769803	+	0.236921i	0.00337906	+	0.0103997i
$520$	−35.3856			−1.55176
$521$	13.5554	−	9.84860i	0.593874	−	0.431475i	−0.249825	−	0.968291i	$-0.580373\pi$
$521$	13.5554	−	9.84860i	0.593874	−	0.431475i	0.843699	+	0.536816i	$0.180373\pi$
$522$	13.7881	+	10.0177i	0.603490	+	0.438461i
$523$	14.5984			0.638345			0.319172	−	0.947697i	$-0.396595\pi$
$523$	14.5984			0.638345			0.319172	+	0.947697i	$0.396595\pi$
$524$	0.00741221	−	0.0228124i	0.000323804	−	0.000996566i
$525$	0.00287981	−	0.00886315i	0.000125685	−	0.000386820i
$526$	9.93035	−	30.5625i	0.432984	−	1.33259i
$527$	6.20111			0.270125
$528$	0.0941871	+	0.0684310i	0.00409897	+	0.00297808i
$529$	1.16609			0.0506996
$530$	5.66189	+	17.4255i	0.245937	+	0.756915i
$531$	−43.2500			−1.87689
$532$	−0.116326	+	0.0845157i	−0.00504337	+	0.00366422i
$533$	−14.1143	+	10.2546i	−0.611356	+	0.444176i
$534$	−0.160967			−0.00696572
$535$	10.5009	+	32.3183i	0.453992	+	1.39724i
$536$	26.1831			1.13094
$537$	0.00991551	+	0.00720404i	0.000427886	+	0.000310877i
$538$	−1.47815			−0.0637275
$539$	3.03997	−	9.35607i	0.130941	−	0.402994i
$540$	−0.00423177	+	0.0130241i	−0.000182106	+	0.000560466i
$541$	−2.66304	+	8.19599i	−0.114493	+	0.352373i	−0.991841	−	0.127481i	$-0.959311\pi$
$541$	−2.66304	+	8.19599i	−0.114493	+	0.352373i	0.877348	+	0.479855i	$0.159311\pi$
$542$	−6.16153			−0.264660
$543$	−0.162761	−	0.118253i	−0.00698476	−	0.00507473i
$544$	0.216906	−	0.157592i	0.00929978	−	0.00675668i
$545$	−18.3716			−0.786954
$546$	0.0495296	+	0.152436i	0.00211967	+	0.00652367i
$547$	−0.521531	−	1.60511i	−0.0222991	−	0.0686295i	0.939288	−	0.343131i	$-0.111487\pi$
$547$	−0.521531	−	1.60511i	−0.0222991	−	0.0686295i	−0.961587	+	0.274501i	$0.911487\pi$
$548$	−0.999049			−0.0426773
$549$	9.44303	+	6.86076i	0.403019	+	0.292810i
$550$	−0.383501	+	1.18030i	−0.0163526	+	0.0503280i
$551$	6.17207	−	4.48427i	0.262939	−	0.191036i
$552$	0.181145	−	0.131609i	0.00771004	−	0.00560167i
$553$	−9.88879	+	7.18462i	−0.420514	+	0.305521i
$554$	−5.63700	−	17.3489i	−0.239493	−	0.737084i
$555$	0.256901	−	0.186650i	0.0109048	−	0.00792284i
$556$	0.351230	−	1.08097i	0.0148955	−	0.0458435i
$557$	−12.5798	−	9.13975i	−0.533023	−	0.387264i	0.288464	−	0.957491i	$-0.406855\pi$
$557$	−12.5798	−	9.13975i	−0.533023	−	0.387264i	−0.821487	+	0.570227i	$0.806855\pi$
$558$	29.9638	−	21.7700i	1.26847	−	0.921596i
$559$	−2.76168	−	8.49959i	−0.116807	−	0.359494i
$560$	3.06809	−	9.44260i	0.129650	−	0.399023i
$561$	0.0164739	+	0.0119690i	0.000695529	+	0.000505331i
$562$	9.30148	+	28.6270i	0.392359	+	1.20756i
$563$	4.47370	−	13.7686i	0.188544	−	0.580279i	−0.811447	−	0.584425i	$-0.801320\pi$
$563$	4.47370	−	13.7686i	0.188544	−	0.580279i	0.999991	+	0.00414672i	$0.00131995\pi$
$564$	−0.000353657	−	0.00108844i	−1.48916e−5	−	4.58318e-5i
$565$	−10.6202	−	7.71602i	−0.446795	−	0.324616i
$566$	−18.7337	−	13.6108i	−0.787435	−	0.572105i
$567$	10.2056			0.428593
$568$	−18.8442	−	13.9158i	−0.790686	−	0.583892i
$569$	20.7693			0.870696			0.435348	−	0.900262i	$-0.356625\pi$
$569$	20.7693			0.870696			0.435348	+	0.900262i	$0.356625\pi$
$570$	0.0779776	+	0.0566541i	0.00326612	+	0.00237298i
$571$	24.6801	+	17.9312i	1.03283	+	0.750396i	0.968873	−	0.247556i	$-0.0796276\pi$
$571$	24.6801	+	17.9312i	1.03283	+	0.750396i	0.0639582	+	0.997953i	$0.479628\pi$
$572$	−0.209735	−	0.645498i	−0.00876946	−	0.0269896i
$573$	−0.0320944	+	0.0987764i	−0.00134076	+	0.00412644i
$574$	−1.46451	−	4.50730i	−0.0611275	−	0.188131i
$575$	1.99446	+	1.44906i	0.0831748	+	0.0604300i
$576$	−7.15646	+	22.0253i	−0.298186	+	0.917721i
$577$	−14.0897	−	43.3636i	−0.586561	−	1.80525i	−0.592908	−	0.805270i	$-0.702020\pi$
$577$	−14.0897	−	43.3636i	−0.586561	−	1.80525i	0.00634721	−	0.999980i	$-0.497980\pi$
$578$	−19.1610	+	13.9213i	−0.796994	+	0.579050i
$579$	0.0455049	+	0.0330613i	0.00189112	+	0.00137398i
$580$	0.170184	−	0.523771i	0.00706649	−	0.0217484i
$581$	12.0248	−	8.73651i	0.498872	−	0.362452i
$582$	0.0692208	+	0.213040i	0.00286930	+	0.00883078i
$583$	8.37255	−	6.08301i	0.346756	−	0.251933i
$584$	−28.4245	+	20.6516i	−1.17621	+	0.854570i
$585$	−30.8893	+	22.4424i	−1.27711	+	0.927877i
$586$	2.67876	−	8.24438i	0.110659	−	0.340572i
$587$	8.69781	+	6.31933i	0.358997	+	0.260827i	0.752634	−	0.658439i	$-0.228783\pi$
$587$	8.69781	+	6.31933i	0.358997	+	0.260827i	−0.393637	+	0.919266i	$0.628783\pi$
$588$	0.00614856			0.000253562
$589$	−5.12327	−	15.7678i	−0.211101	−	0.649701i
$590$	13.5816	+	41.8000i	0.559147	+	1.72088i
$591$	−0.204803			−0.00842447
$592$	−30.5117	+	22.1680i	−1.25402	+	0.911101i
$593$	−10.9332	−	7.94343i	−0.448973	−	0.326198i	0.340217	−	0.940347i	$-0.389499\pi$
$593$	−10.9332	−	7.94343i	−0.448973	−	0.326198i	−0.789190	+	0.614149i	$0.789499\pi$
$594$	0.243253			0.00998078
$595$	0.536627	−	1.65157i	0.0219996	−	0.0677077i
$596$	−0.372362	+	1.14601i	−0.0152526	+	0.0469426i
$597$	−0.0575570	+	0.177142i	−0.00235565	+	0.00724995i
$598$	−42.4003			−1.73388
$599$	−5.44021	−	3.95254i	−0.222281	−	0.161497i	0.471072	−	0.882095i	$-0.343867\pi$
$599$	−5.44021	−	3.95254i	−0.222281	−	0.161497i	−0.693353	+	0.720598i	$0.743867\pi$
$600$	0.0228418			0.000932512
$601$	1.47522	+	4.54026i	0.0601754	+	0.185201i	0.976625	−	0.214948i	$-0.0689583\pi$
$601$	1.47522	+	4.54026i	0.0601754	+	0.185201i	−0.916450	+	0.400149i	$0.868958\pi$
$602$	2.42774			0.0989472
$603$	22.8561	−	16.6059i	0.930772	−	0.676246i
$604$	0.530780	−	0.385635i	0.0215971	−	0.0156912i
$605$	17.0427			0.692884
$606$	0.0153437	+	0.0472230i	0.000623294	+	0.00191830i
$607$	−2.03272			−0.0825056			−0.0412528	−	0.999149i	$-0.513135\pi$
$607$	−2.03272			−0.0825056			−0.0412528	+	0.999149i	$0.513135\pi$
$608$	−0.579918	−	0.421335i	−0.0235188	−	0.0170874i
$609$	0.0734599			0.00297674
$610$	3.66539	−	11.2809i	0.148407	−	0.456750i
$611$	1.97216	−	6.06968i	0.0797850	−	0.245553i
$612$	0.0439519	−	0.135270i	0.00177665	−	0.00546797i
$613$	−4.94600			−0.199767			−0.0998835	−	0.994999i	$-0.531847\pi$
$613$	−4.94600			−0.199767			−0.0998835	+	0.994999i	$0.531847\pi$
$614$	−4.76741	−	3.46373i	−0.192397	−	0.139785i
$615$	−0.0817269	+	0.0593781i	−0.00329555	+	0.00239436i
$616$	−5.42947			−0.218760
$617$	7.00620	+	21.5629i	0.282059	+	0.868088i	0.987265	+	0.159086i	$0.0508546\pi$
$617$	7.00620	+	21.5629i	0.282059	+	0.868088i	−0.705206	+	0.709003i	$0.749145\pi$
$618$	−0.0176285	−	0.0542550i	−0.000709123	−	0.00218246i
$619$	7.33580			0.294851			0.147425	−	0.989073i	$-0.452901\pi$
$619$	7.33580			0.294851			0.147425	+	0.989073i	$0.452901\pi$
$620$	−0.968242	−	0.703469i	−0.0388856	−	0.0282520i
$621$	0.149322	−	0.459565i	0.00599208	−	0.0184417i
$622$	20.1780	−	14.6602i	0.809065	−	0.587820i
$623$	6.27288	−	4.55751i	0.251318	−	0.182593i
$624$	−0.328275	+	0.238505i	−0.0131415	+	0.00954786i
$625$	−6.87286	−	21.1525i	−0.274914	−	0.846099i
$626$	1.75057	−	1.27186i	0.0699668	−	0.0508339i
$627$	0.0168235	−	0.0517774i	0.000671865	−	0.00206779i
$628$	0.818001	+	0.594312i	0.0326418	+	0.0237156i
$629$	−5.33668	+	3.87732i	−0.212787	+	0.154599i
$630$	−3.20510	−	9.86429i	−0.127694	−	0.393003i
$631$	4.23752	−	13.0418i	0.168693	−	0.519184i	−0.830596	−	0.556875i	$-0.812000\pi$
$631$	4.23752	−	13.0418i	0.168693	−	0.519184i	0.999289	+	0.0376909i	$0.0120002\pi$
$632$	−24.2377	−	17.6097i	−0.964124	−	0.700477i
$633$	−0.00222731	−	0.00685496i	−8.85276e−5	−	0.000272460i
$634$	11.9678	−	36.8333i	0.475304	−	1.46284i
$635$	−10.4592	−	32.1902i	−0.415062	−	1.27743i
$636$	0.00523292	+	0.00380194i	0.000207499	+	0.000150757i
$637$	27.7390	+	20.1535i	1.09906	+	0.798512i
$638$	−9.78257			−0.387296
$639$	−25.2754	−	0.196079i	−0.999880	−	0.00775676i
$640$	25.1098			0.992550
$641$	6.66724	+	4.84403i	0.263340	+	0.191328i	0.711618	−	0.702566i	$-0.247963\pi$
$641$	6.66724	+	4.84403i	0.263340	+	0.191328i	−0.448278	+	0.893894i	$0.647963\pi$
$642$	0.305214	+	0.221751i	0.0120458	+	0.00875180i
$643$	2.68152	+	8.25287i	0.105749	+	0.325461i	0.989905	−	0.141729i	$-0.0452662\pi$
$643$	2.68152	+	8.25287i	0.105749	+	0.325461i	−0.884157	+	0.467190i	$0.845266\pi$
$644$	0.113179	−	0.348328i	0.00445986	−	0.0137260i
$645$	−0.0159912	−	0.0492159i	−0.000629653	−	0.00193787i
$646$	−1.61985	−	1.17689i	−0.0637322	−	0.0463041i
$647$	3.71002	−	11.4183i	0.145856	−	0.448899i	−0.851264	−	0.524737i	$-0.824163\pi$
$647$	3.71002	−	11.4183i	0.145856	−	0.448899i	0.997120	+	0.0758389i	$0.0241635\pi$
$648$	7.72979	+	23.7898i	0.303655	+	0.934553i
$649$	20.0839	−	14.5918i	0.788363	−	0.572780i
$650$	−3.49935	−	2.54243i	−0.137256	−	0.0997223i
$651$	0.0493314	−	0.151827i	0.00193345	−	0.00595055i
$652$	−0.257984	+	0.187436i	−0.0101034	+	0.00734057i
$653$	−3.37675	−	10.3926i	−0.132142	−	0.406693i	0.862992	−	0.505217i	$-0.168588\pi$
$653$	−3.37675	−	10.3926i	−0.132142	−	0.406693i	−0.995135	+	0.0985246i	$0.968588\pi$
$654$	−0.165010	+	0.119886i	−0.00645238	+	0.00468793i
$655$	0.626599	−	0.455251i	0.0244832	−	0.0177881i
$656$	9.70656	−	7.05223i	0.378977	−	0.275343i
$657$	−11.7150	+	36.0549i	−0.457044	+	1.40664i
$658$	1.40258	+	1.01903i	0.0546782	+	0.0397260i
$659$	−32.3810			−1.26139			−0.630693	−	0.776033i	$-0.717229\pi$
$659$	−32.3810			−1.26139			−0.630693	+	0.776033i	$0.717229\pi$
$660$	−0.00121445	−	0.00373768i	−4.72722e−5	−	0.000145489i
$661$	−9.91882	−	30.5270i	−0.385797	−	1.18736i	−0.935900	−	0.352265i	$-0.885412\pi$
$661$	−9.91882	−	30.5270i	−0.385797	−	1.18736i	0.550103	−	0.835097i	$-0.314588\pi$
$662$	32.2992			1.25534
$663$	−0.0574172	+	0.0417161i	−0.00222990	+	0.00162012i
$664$	29.4731	+	21.4134i	1.14378	+	0.831003i
$665$	−4.64286			−0.180042
$666$	−12.1749	+	37.4705i	−0.471767	+	1.45195i
$667$	−6.00508	+	18.4817i	−0.232518	+	0.715616i
$668$	−0.468763	+	1.44270i	−0.0181370	+	0.0558199i
$669$	−0.376745			−0.0145658
$670$	−23.2266	−	16.8751i	−0.897323	−	0.651943i
$671$	−6.69975			−0.258641
$672$	−0.00213289	−	0.00656436i	−8.22780e−5	−	0.000253226i
$673$	6.48596			0.250015			0.125008	−	0.992156i	$-0.460104\pi$
$673$	6.48596			0.250015			0.125008	+	0.992156i	$0.460104\pi$
$674$	−1.51473	+	1.10051i	−0.0583451	+	0.0423902i
$675$	0.0398805	−	0.0289749i	0.00153500	−	0.00111524i
$676$	1.51165			0.0581405
$677$	−8.67015	−	26.6840i	−0.333221	−	1.02555i	−0.967592	−	0.252520i	$-0.918741\pi$
$677$	−8.67015	−	26.6840i	−0.333221	−	1.02555i	0.634371	−	0.773029i	$-0.281259\pi$
$678$	−0.145740			−0.00559711
$679$	−8.72941	−	6.34229i	−0.335004	−	0.243395i
$680$	4.25636			0.163224
$681$	0.0615778	−	0.189517i	0.00235967	−	0.00726231i
$682$	−6.56941	+	20.2186i	−0.251556	+	0.774209i
$683$	−0.213964	+	0.658513i	−0.00818710	+	0.0251973i	−0.955067	−	0.296391i	$-0.904217\pi$
$683$	−0.213964	+	0.658513i	−0.00818710	+	0.0251973i	0.946880	+	0.321589i	$0.104217\pi$
$684$	−0.380268			−0.0145399
$685$	−26.0982	−	18.9615i	−0.997162	−	0.724480i
$686$	−16.7674	+	12.1822i	−0.640181	+	0.465118i
$687$	0.263703			0.0100609
$688$	1.89925	+	5.84528i	0.0724081	+	0.222849i
$689$	11.1462	+	34.3046i	0.424638	+	1.30690i
$690$	−0.245514			−0.00934654
$691$	−6.46860	−	4.69972i	−0.246077	−	0.178786i	0.457909	−	0.888999i	$-0.348598\pi$
$691$	−6.46860	−	4.69972i	−0.246077	−	0.178786i	−0.703987	+	0.710213i	$0.748598\pi$
$692$	−0.308632	+	0.949872i	−0.0117324	+	0.0361087i
$693$	−4.73957	+	3.44350i	−0.180041	+	0.130808i
$694$	−10.0718	+	7.31761i	−0.382321	+	0.277773i
$695$	29.6916	−	21.5722i	1.12627	−	0.818280i
$696$	0.0556392	+	0.171240i	0.00210900	+	0.00649083i
$697$	1.69774	−	1.23348i	0.0643063	−	0.0467213i
$698$	−8.97448	+	27.6206i	−0.339689	+	1.04546i
$699$	0.00740846	+	0.00538256i	0.000280214	+	0.000203587i
$700$	0.0302274	−	0.0219615i	0.00114249	−	0.000830067i
$701$	−10.4016	−	32.0129i	−0.392864	−	1.20911i	−0.930612	−	0.366006i	$-0.880725\pi$
$701$	−10.4016	−	32.0129i	−0.392864	−	1.20911i	0.537748	−	0.843106i	$-0.319275\pi$
$702$	−0.261990	+	0.806324i	−0.00988819	+	0.0304327i
$703$	14.2681	+	10.3664i	0.538131	+	0.390975i
$704$	−4.10774	−	12.6423i	−0.154816	−	0.476476i
$705$	0.0114195	−	0.0351457i	0.000430085	−	0.00132367i
$706$	3.17594	+	9.77455i	0.119528	+	0.367870i
$707$	−1.93498	−	1.40585i	−0.0727726	−	0.0528724i
$708$	0.0125526	+	0.00912003i	0.000471757	+	0.000342752i
$709$	−5.59028			−0.209948			−0.104974	−	0.994475i	$-0.533476\pi$
$709$	−5.59028			−0.209948			−0.104974	+	0.994475i	$0.533476\pi$
$710$	7.74765	+	24.4896i	0.290764	+	0.919079i
$711$	−32.3264			−1.21233
$712$	15.3750	+	11.1706i	0.576203	+	0.418636i
$713$	34.1653	+	24.8225i	1.27950	+	0.929612i
$714$	−0.00595767	−	0.0183358i	−0.000222960	−	0.000686201i
$715$	6.77232	−	20.8431i	0.253270	−	0.779486i
$716$	0.0151845	+	0.0467332i	0.000567473	+	0.00174650i
$717$	−0.197973	−	0.143836i	−0.00739345	−	0.00537166i
$718$	−11.8036	+	36.3278i	−0.440507	+	1.35574i
$719$	−2.62303	−	8.07284i	−0.0978223	−	0.301066i	0.890157	−	0.455655i	$-0.150595\pi$
$719$	−2.62303	−	8.07284i	−0.0978223	−	0.301066i	−0.987979	+	0.154589i	$0.950595\pi$
$720$	21.2429	−	15.4339i	0.791678	−	0.575187i
$721$	2.22313	+	1.61520i	0.0827935	+	0.0601530i
$722$	6.78433	−	20.8800i	0.252487	−	0.777074i
$723$	0.247192	−	0.179596i	0.00919318	−	0.00667923i
$724$	−0.249252	−	0.767117i	−0.00926336	−	0.0285097i
$725$	−1.60382	+	1.16524i	−0.0595644	+	0.0432761i
$726$	0.153073	−	0.111214i	0.00568109	−	0.00412755i
$727$	−2.33222	+	1.69446i	−0.0864973	+	0.0628439i	−0.630193	−	0.776438i	$-0.717024\pi$
$727$	−2.33222	+	1.69446i	−0.0864973	+	0.0628439i	0.543696	+	0.839282i	$0.317024\pi$
$728$	5.84771	−	17.9974i	0.216730	−	0.667028i
$729$	21.8317	+	15.8617i	0.808583	+	0.587470i
$730$	38.5250			1.42587
$731$	0.332190	+	1.02237i	0.0122865	+	0.0378139i
$732$	−0.00129398	−	0.00398246i	−4.78269e−5	−	0.000147196i
$733$	−8.70623			−0.321572			−0.160786	−	0.986989i	$-0.551403\pi$
$733$	−8.70623			−0.321572			−0.160786	+	0.986989i	$0.551403\pi$
$734$	1.72866	−	1.25594i	0.0638058	−	0.0463577i
$735$	0.160619	+	0.116697i	0.00592453	+	0.00430442i
$736$	1.82588			0.0673028
$737$	−5.01109	+	15.4225i	−0.184586	+	0.568097i
$738$	3.87315	−	11.9203i	0.142573	−	0.438793i
$739$	−5.20214	+	16.0105i	−0.191364	+	0.588957i	0.808636	+	0.588309i	$0.200206\pi$
$739$	−5.20214	+	16.0105i	−0.191364	+	0.588957i	−1.00000		0.000647656i	$0.999794\pi$
$740$	1.27312			0.0468009
$741$	0.153510	+	0.111532i	0.00563933	+	0.00409722i
$742$	−9.79841			−0.359711
$743$	−16.1294	−	49.6411i	−0.591729	−	1.82115i	−0.570379	−	0.821382i	$-0.693204\pi$
$743$	−16.1294	−	49.6411i	−0.591729	−	1.82115i	−0.0213497	−	0.999772i	$-0.506796\pi$
$744$	0.391282			0.0143451
$745$	−31.4780	+	22.8701i	−1.15327	+	0.837897i
$746$	−32.6839	+	23.7462i	−1.19664	+	0.869412i
$747$	39.3089			1.43824
$748$	0.0252280	+	0.0776438i	0.000922428	+	0.00283894i
$749$	−18.1727			−0.664015
$750$	−0.222285	−	0.161500i	−0.00811671	−	0.00589713i
$751$	12.8088			0.467401			0.233701	−	0.972309i	$-0.424916\pi$
$751$	12.8088			0.467401			0.233701	+	0.972309i	$0.424916\pi$
$752$	−1.35628	+	4.17420i	−0.0494584	+	0.152217i
$753$	0.0887065	−	0.273011i	0.00323265	−	0.00994906i
$754$	10.5361	−	32.4268i	0.383703	−	1.18092i
$755$	21.1848			0.770993
$756$	−0.00592481	−	0.00430462i	−0.000215483	−	0.000156558i
$757$	6.46257	−	4.69533i	0.234886	−	0.170655i	−0.464116	−	0.885775i	$-0.653628\pi$
$757$	6.46257	−	4.69533i	0.234886	−	0.170655i	0.699002	+	0.715120i	$0.253628\pi$
$758$	44.5737			1.61899
$759$	0.0428528	+	0.131887i	0.00155546	+	0.00478721i
$760$	−3.51654	−	10.8228i	−0.127558	−	0.392584i
$761$	−31.3794			−1.13750			−0.568751	−	0.822510i	$-0.692573\pi$
$761$	−31.3794			−1.13750			−0.568751	+	0.822510i	$0.692573\pi$
$762$	−0.304004	−	0.220872i	−0.0110129	−	0.00800135i
$763$	3.03603	−	9.34395i	0.109912	−	0.338274i
$764$	−0.336873	+	0.244753i	−0.0121876	+	0.00885484i
$765$	3.71552	−	2.69948i	0.134335	−	0.0976000i
$766$	−12.5532	+	9.12041i	−0.453564	+	0.329534i
$767$	26.7374	+	82.2892i	0.965431	+	2.97129i
$768$	0.0208727	−	0.0151649i	0.000753180	−	0.000547217i
$769$	−8.58294	+	26.4156i	−0.309509	+	0.952570i	0.668447	+	0.743759i	$0.266959\pi$
$769$	−8.58294	+	26.4156i	−0.309509	+	0.952570i	−0.977956	+	0.208811i	$0.933041\pi$
$770$	4.81640	+	3.49932i	0.173571	+	0.126107i
$771$	−0.146900	+	0.106729i	−0.00529049	+	0.00384377i
$772$	0.0696859	+	0.214471i	0.00250805	+	0.00771899i
$773$	9.13828	−	28.1247i	0.328681	−	1.01158i	−0.641070	−	0.767482i	$-0.721509\pi$
$773$	9.13828	−	28.1247i	0.328681	−	1.01158i	0.969751	−	0.244094i	$-0.0784907\pi$
$774$	5.19434	+	3.77391i	0.186707	+	0.135650i
$775$	1.33129	+	4.09728i	0.0478212	+	0.147179i
$776$	8.17256	−	25.1525i	0.293378	−	0.902924i
$777$	0.0524768	+	0.161507i	0.00188260	+	0.00579403i
$778$	10.2712	+	7.46247i	0.368241	+	0.267543i
$779$	−4.53905	−	3.29781i	−0.162628	−	0.118156i
$780$	0.0136975			0.000490449
$781$	11.8033	−	8.43646i	0.422354	−	0.301880i
$782$	5.10012			0.182380
$783$	0.314361	+	0.228397i	0.0112343	+	0.00816223i
$784$	−19.0764	−	13.8599i	−0.681302	−	0.494995i
$785$	10.0889	+	31.0505i	0.360089	+	1.10824i
$786$	0.00265716	−	0.00817790i	9.47778e−5	−	0.000291696i
$787$	14.8374	+	45.6649i	0.528897	+	1.62778i	0.756478	+	0.654019i	$0.226919\pi$
$787$	14.8374	+	45.6649i	0.528897	+	1.62778i	−0.227580	+	0.973759i	$0.573081\pi$
$788$	−0.664287	−	0.482633i	−0.0236643	−	0.0171931i
$789$	0.113198	−	0.348388i	0.00402995	−	0.0124029i
$790$	10.1513	+	31.2426i	0.361168	+	1.11156i
$791$	5.67949	−	4.12639i	0.201939	−	0.146718i
$792$	−11.6168	−	8.44011i	−0.412785	−	0.299906i
$793$	7.21584	−	22.2081i	0.256242	−	0.788631i
$794$	28.1754	−	20.4706i	0.999906	−	0.726474i
$795$	0.0645409	+	0.198636i	0.00228903	+	0.00704491i
$796$	−0.604137	+	0.438931i	−0.0214131	+	0.0155575i
$797$	−4.84545	+	3.52042i	−0.171635	+	0.124700i	−0.670286	−	0.742103i	$-0.733829\pi$
$797$	−4.84545	+	3.52042i	−0.171635	+	0.124700i	0.498652	+	0.866802i	$0.333829\pi$
$798$	−0.0417010	+	0.0302976i	−0.00147620	+	0.00107252i
$799$	−0.237221	+	0.730092i	−0.00839229	+	0.0258288i
$800$	0.150692	+	0.109484i	0.00532778	+	0.00387086i
$801$	20.5060			0.724544
$802$	8.23962	+	25.3589i	0.290951	+	0.895455i
$803$	−6.72428	−	20.6952i	−0.237295	−	0.730318i
$804$	−0.0101353			−0.000357444
$805$	9.56766	−	6.95132i	0.337216	−	0.245002i
$806$	−59.9442	−	43.5520i	−2.11145	−	1.53405i
$807$	−0.0168497			−0.000593137
$808$	1.81155	−	5.57538i	0.0637302	−	0.196141i
$809$	−0.803803	+	2.47385i	−0.0282602	+	0.0869760i	−0.964192	−	0.265206i	$-0.914560\pi$
$809$	−0.803803	+	2.47385i	−0.0282602	+	0.0869760i	0.935932	+	0.352182i	$0.114560\pi$
$810$	8.47568	−	26.0855i	0.297805	−	0.916550i
$811$	42.6116			1.49629			0.748147	−	0.663533i	$-0.230944\pi$
$811$	42.6116			1.49629			0.748147	+	0.663533i	$0.230944\pi$
$812$	0.238270	+	0.173113i	0.00836164	+	0.00607509i
$813$	−0.0702364			−0.00246330
$814$	−6.98828	−	21.5077i	−0.244939	−	0.753845i
$815$	−10.2968			−0.360680
$816$	0.0394866	−	0.0286887i	0.00138231	−	0.00100430i
$817$	2.32518	−	1.68934i	0.0813477	−	0.0591026i
$818$	−32.2525			−1.12768
$819$	−6.30970	−	19.4193i	−0.220479	−	0.678564i
$820$	−0.405013			−0.0141437
$821$	−30.0539	−	21.8355i	−1.04889	−	0.762063i	−0.0768888	−	0.997040i	$-0.524499\pi$
$821$	−30.0539	−	21.8355i	−1.04889	−	0.762063i	−0.972001	+	0.234977i	$0.924499\pi$
$822$	−0.358144			−0.0124917
$823$	−16.8589	+	51.8864i	−0.587664	+	1.80864i	0.000632903		1.00000i	$0.499799\pi$
$823$	−16.8589	+	51.8864i	−0.587664	+	1.80864i	−0.588297	+	0.808645i	$0.700201\pi$
$824$	−2.08131	+	6.40562i	−0.0725059	+	0.223150i
$825$	−0.00437160	+	0.0134544i	−0.000152200	+	0.000468423i
$826$	−23.5043			−0.817818
$827$	16.5036	+	11.9906i	0.573886	+	0.416953i	0.836515	−	0.547944i	$-0.184589\pi$
$827$	16.5036	+	11.9906i	0.573886	+	0.416953i	−0.262628	+	0.964897i	$0.584589\pi$
$828$	0.783630	−	0.569341i	0.0272330	−	0.0197860i
$829$	−12.2030			−0.423827			−0.211913	−	0.977288i	$-0.567969\pi$
$829$	−12.2030			−0.423827			−0.211913	+	0.977288i	$0.567969\pi$
$830$	−12.3440	−	37.9910i	−0.428468	−	1.31869i
$831$	−0.0642572	−	0.197763i	−0.00222906	−	0.00686034i
$832$	46.3304			1.60622
$833$	−3.33659	−	2.42417i	−0.115606	−	0.0839926i
$834$	0.125910	−	0.387512i	0.00435992	−	0.0134185i
$835$	−39.6274	+	28.7910i	−1.37136	+	0.996352i
$836$	0.176585	−	0.128296i	0.00610731	−	0.00443722i
$837$	0.683156	−	0.496342i	0.0236133	−	0.0171561i
$838$	−5.68470	−	17.4957i	−0.196375	−	0.604379i
$839$	34.7312	−	25.2337i	1.19905	−	0.871163i	0.204862	−	0.978791i	$-0.434326\pi$
$839$	34.7312	−	25.2337i	1.19905	−	0.871163i	0.994191	+	0.107628i	$0.0343255\pi$
$840$	0.0338604	−	0.104212i	0.00116830	−	0.00359565i
$841$	10.8193	+	7.86065i	0.373078	+	0.271057i
$842$	−41.6545	+	30.2638i	−1.43551	+	1.04296i
$843$	0.106029	+	0.326325i	0.00365184	+	0.0112392i
$844$	0.00892982	−	0.0274831i	0.000307377	−	0.000946009i
$845$	39.4890	+	28.6904i	1.35846	+	0.986981i
$846$	1.41685	+	4.36061i	0.0487122	+	0.149921i
$847$	−2.81642	+	8.66805i	−0.0967733	+	0.297838i
$848$	−7.66541	−	23.5917i	−0.263231	−	0.810142i
$849$	−0.213549	−	0.155152i	−0.00732897	−	0.00532481i
$850$	0.420920	+	0.305816i	0.0144374	+	0.0104894i
$851$	−44.9233			−1.53995
$852$	0.00729446	+	0.00538668i	0.000249904	+	0.000184545i
$853$	7.89642			0.270368			0.135184	−	0.990820i	$-0.456837\pi$
$853$	7.89642			0.270368			0.135184	+	0.990820i	$0.456837\pi$
$854$	5.13182	+	3.72849i	0.175607	+	0.127586i
$855$	−9.93378	−	7.21731i	−0.339728	−	0.246827i
$856$	−13.7642	−	42.3617i	−0.470449	−	1.44789i
$857$	−15.4250	+	47.4734i	−0.526909	+	1.62166i	0.233600	+	0.972333i	$0.424949\pi$
$857$	−15.4250	+	47.4734i	−0.526909	+	1.62166i	−0.760509	+	0.649327i	$0.775051\pi$
$858$	−0.0751867	−	0.231401i	−0.00256683	−	0.00789990i
$859$	−38.2522	−	27.7918i	−1.30515	−	0.948245i	−0.305155	−	0.952303i	$-0.598708\pi$
$859$	−38.2522	−	27.7918i	−1.30515	−	0.948245i	−0.999992	+	0.00405771i	$0.998708\pi$
$860$	0.0641125	−	0.197318i	0.00218622	−	0.00672849i
$861$	−0.0166942	−	0.0513796i	−0.000568938	−	0.00175101i
$862$	23.3225	−	16.9448i	0.794368	−	0.577142i
$863$	−5.43425	−	3.94821i	−0.184984	−	0.134399i	0.491439	−	0.870912i	$-0.336471\pi$
$863$	−5.43425	−	3.94821i	−0.184984	−	0.134399i	−0.676423	+	0.736513i	$0.736471\pi$
$864$	0.0112821	−	0.0347227i	0.000383824	−	0.00118129i
$865$	−26.0905	+	18.9559i	−0.887105	+	0.644519i
$866$	−3.09663	−	9.53046i	−0.105228	−	0.323858i
$867$	−0.218420	+	0.158692i	−0.00741794	+	0.00538945i
$868$	0.517798	−	0.376203i	0.0175752	−	0.0127691i
$869$	15.0113	−	10.9064i	0.509225	−	0.369974i
$870$	0.0610081	−	0.187764i	0.00206837	−	0.00636579i
$871$	−45.7249	−	33.2211i	−1.54933	−	1.12565i
$872$	24.0809			0.815482
$873$	−8.81822	−	27.1397i	−0.298452	−	0.918540i
$874$	−4.21364	−	12.9683i	−0.142529	−	0.438658i
$875$	13.2351			0.447426
$876$	0.0110029	−	0.00799408i	0.000371754	−	0.000270095i
$877$	−21.5431	−	15.6520i	−0.727459	−	0.528530i	0.161299	−	0.986906i	$-0.448432\pi$
$877$	−21.5431	−	15.6520i	−0.727459	−	0.528530i	−0.888759	+	0.458375i	$0.848432\pi$
$878$	−2.98527			−0.100748
$879$	0.0305357	−	0.0939793i	0.00102994	−	0.00316984i
$880$	−4.65741	+	14.3340i	−0.157001	+	0.483200i
$881$	−5.29383	+	16.2927i	−0.178354	+	0.548916i	−0.999771	−	0.0214120i	$-0.993184\pi$
$881$	−5.29383	+	16.2927i	−0.178354	+	0.548916i	0.821417	+	0.570328i	$0.193184\pi$
$882$	−24.6328			−0.829430
$883$	−10.8265	−	7.86593i	−0.364341	−	0.264710i	0.390519	−	0.920595i	$-0.372296\pi$
$883$	−10.8265	−	7.86593i	−0.364341	−	0.264710i	−0.754861	+	0.655885i	$0.772296\pi$
$884$	−0.284542			−0.00957018
$885$	0.154820	+	0.476486i	0.00520421	+	0.0160169i
$886$	41.3307			1.38853
$887$	−3.80861	+	2.76712i	−0.127881	+	0.0929108i	−0.649887	−	0.760031i	$-0.725184\pi$
$887$	−3.80861	+	2.76712i	−0.127881	+	0.0929108i	0.522006	+	0.852942i	$0.325184\pi$
$888$	−0.336737	+	0.244654i	−0.0113002	+	0.00821005i
$889$	18.1007			0.607077
$890$	−6.43942	−	19.8185i	−0.215850	−	0.664318i
$891$	−15.4922			−0.519009
$892$	−1.22199	−	0.887826i	−0.0409152	−	0.0297266i
$893$	2.05242			0.0686816
$894$	−0.133486	+	0.410828i	−0.00446444	+	0.0137401i
$895$	−0.490307	+	1.50901i	−0.0163892	+	0.0504406i
$896$	−4.14956	+	12.7710i	−0.138627	+	0.426650i
$897$	−0.483329			−0.0161379
$898$	−14.5433	−	10.5663i	−0.485316	−	0.352602i
$899$	−27.4736	+	19.9607i	−0.916295	+	0.665727i
$900$	0.0988132			0.00329377
$901$	−1.34073	−	4.12633i	−0.0446661	−	0.137468i
$902$	2.22315	+	6.84216i	0.0740229	+	0.227819i
$903$	0.0276742			0.000920941
$904$	13.9206	+	10.1139i	0.462992	+	0.336383i
$905$	8.04830	−	24.7701i	0.267535	−	0.823387i
$906$	0.190277	−	0.138244i	0.00632151	−	0.00459285i
$907$	6.56374	−	4.76883i	0.217945	−	0.158347i	−0.473456	−	0.880817i	$-0.656994\pi$
$907$	6.56374	−	4.76883i	0.217945	−	0.158347i	0.691401	+	0.722471i	$0.256994\pi$
$908$	0.646341	−	0.469594i	0.0214496	−	0.0155840i
$909$	−1.95467	−	6.01586i	−0.0648324	−	0.199534i
$910$	−16.7868	+	12.1963i	−0.556477	+	0.404304i
$911$	−11.3652	+	34.9784i	−0.376545	+	1.15889i	0.565886	+	0.824484i	$0.308534\pi$
$911$	−11.3652	+	34.9784i	−0.376545	+	1.15889i	−0.942431	+	0.334402i	$0.891466\pi$
$912$	−0.105571	−	0.0767017i	−0.00349580	−	0.00253985i
$913$	−18.2538	+	13.2622i	−0.604113	+	0.438914i
$914$	−3.99398	−	12.2922i	−0.132109	−	0.406590i
$915$	0.0417824	−	0.128593i	0.00138128	−	0.00425116i
$916$	0.855330	+	0.621434i	0.0282609	+	0.0205327i
$917$	0.127994	+	0.393926i	0.00422675	+	0.0130086i
$918$	0.0315136	−	0.0969888i	0.00104010	−	0.00320111i
$919$	12.6533	+	38.9429i	0.417394	+	1.28461i	0.910092	+	0.414407i	$0.136011\pi$
$919$	12.6533	+	38.9429i	0.417394	+	1.28461i	−0.492698	+	0.870201i	$0.663989\pi$
$920$	23.4506	+	17.0379i	0.773144	+	0.561722i
$921$	−0.0543446	−	0.0394837i	−0.00179072	−	0.00130103i
$922$	−22.0166			−0.725077
$923$	15.2524	+	48.2113i	0.502037	+	1.58689i
$924$	0.00210171			6.91411e−5
$925$	−3.70758	−	2.69372i	−0.121905	−	0.0885688i
$926$	32.9563	+	23.9442i	1.08301	+	0.786854i
$927$	2.24574	+	6.91169i	0.0737599	+	0.227010i
$928$	−0.453716	+	1.39640i	−0.0148940	+	0.0458389i
$929$	0.357215	+	1.09940i	0.0117199	+	0.0360700i	0.956745	−	0.290926i	$-0.0939635\pi$
$929$	0.357215	+	1.09940i	0.0117199	+	0.0360700i	−0.945026	+	0.326996i	$0.893963\pi$
$930$	−0.347100	−	0.252183i	−0.0113819	−	0.00826940i
$931$	−3.40739	+	10.4869i	−0.111673	+	0.343693i
$932$	0.0113453	+	0.0349171i	0.000371626	+	0.00114375i
$933$	0.230013	−	0.167114i	0.00753029	−	0.00547108i
$934$	−3.83449	−	2.78592i	−0.125468	−	0.0911581i
$935$	−0.814609	+	2.50711i	−0.0266406	+	0.0819913i
$936$	40.4886	−	29.4167i	1.32341	−	0.961514i
$937$	2.61892	+	8.06020i	0.0855563	+	0.263315i	0.984678	−	0.174384i	$-0.0557934\pi$
$937$	2.61892	+	8.06020i	0.0855563	+	0.263315i	−0.899121	+	0.437699i	$0.855793\pi$
$938$	12.4212	−	9.02451i	0.405566	−	0.294661i
$939$	0.0199551	−	0.0144982i	0.000651209	−	0.000473131i
$940$	0.119863	−	0.0870857i	0.00390951	−	0.00284042i
$941$	8.99113	−	27.6719i	0.293103	−	0.902077i	−0.690750	−	0.723094i	$-0.742719\pi$
$941$	8.99113	−	27.6719i	0.293103	−	0.902077i	0.983852	−	0.178983i	$-0.0572806\pi$
$942$	0.293241	+	0.213052i	0.00955429	+	0.00694160i
$943$	14.2913			0.465387
$944$	−18.3877	−	56.5914i	−0.598467	−	1.84189i
$945$	−0.0730744	−	0.224900i	−0.00237711	−	0.00731599i
$946$	−3.68535			−0.119821
$947$	10.2557	−	7.45118i	0.333264	−	0.242131i	−0.408550	−	0.912736i	$-0.633965\pi$
$947$	10.2557	−	7.45118i	0.333264	−	0.242131i	0.741815	+	0.670605i	$0.233965\pi$
$948$	0.00938223	+	0.00681659i	0.000304721	+	0.000221392i
$949$	75.8419			2.46193
$950$	0.429852	−	1.32295i	0.0139463	−	0.0429222i
$951$	0.136424	−	0.419869i	0.00442384	−	0.0136152i
$952$	−0.703393	+	2.16482i	−0.0227971	+	0.0701622i
$953$	13.3973			0.433982			0.216991	−	0.976174i	$-0.430376\pi$
$953$	13.3973			0.433982			0.216991	+	0.976174i	$0.430376\pi$
$954$	−20.9645	−	15.2316i	−0.678751	−	0.493141i
$955$	−13.4454			−0.435084
$956$	−0.303175	−	0.933077i	−0.00980538	−	0.0301779i
$957$	−0.111513			−0.00360471
$958$	−33.2333	+	24.1454i	−1.07372	+	0.780103i
$959$	13.9569	−	10.1402i	0.450690	−	0.327446i
$960$	0.268271			0.00865841
$961$	13.2255	+	40.7040i	0.426630	+	1.31303i
$962$	78.8195			2.54124
$963$	−38.8820	−	28.2494i	−1.25295	−	0.910324i
$964$	1.22501			0.0394548
$965$	−2.25015	+	6.92525i	−0.0724349	+	0.222932i
$966$	0.0405728	−	0.124870i	0.00130541	−	0.00401763i
$967$	13.3972	−	41.2324i	0.430825	−	1.32594i	−0.466480	−	0.884532i	$-0.654478\pi$
$967$	13.3972	−	41.2324i	0.430825	−	1.32594i	0.897305	−	0.441412i	$-0.145522\pi$
$968$	−22.3390			−0.718002
$969$	−0.0184650	−	0.0134156i	−0.000593181	−	0.000430971i
$970$	−23.4607	+	17.0452i	−0.753276	+	0.547287i
$971$	49.5291			1.58946			0.794732	−	0.606961i	$-0.207611\pi$
$971$	49.5291			1.58946			0.794732	+	0.606961i	$0.207611\pi$
$972$	−0.00897776	−	0.0276307i	−0.000287962	−	0.000886256i
$973$	6.06505	+	18.6663i	0.194437	+	0.598414i
$974$	52.9138			1.69547
$975$	−0.0398898	−	0.0289816i	−0.00127750	−	0.000928155i
$976$	−4.96242	+	15.2728i	−0.158843	+	0.488869i
$977$	43.1681	−	31.3635i	1.38107	−	1.00341i	0.384292	−	0.923212i	$-0.374446\pi$
$977$	43.1681	−	31.3635i	1.38107	−	1.00341i	0.996779	−	0.0801952i	$-0.0255544\pi$
$978$	−0.0924832	+	0.0671930i	−0.00295729	+	0.00214859i
$979$	−9.52234	+	6.91838i	−0.304335	+	0.221112i
$980$	0.245971	+	0.757021i	0.00785726	+	0.0241821i
$981$	21.0210	−	15.2727i	0.671149	−	0.487618i
$982$	−15.2025	+	46.7884i	−0.485131	+	1.49308i
$983$	24.6025	+	17.8747i	0.784697	+	0.570115i	0.906385	−	0.422453i	$-0.138831\pi$
$983$	24.6025	+	17.8747i	0.784697	+	0.570115i	−0.121688	+	0.992568i	$0.538831\pi$
$984$	0.107125	−	0.0778307i	0.00341501	−	0.00248115i
$985$	−8.19308	−	25.2157i	−0.261053	−	0.803439i
$986$	−1.26734	+	3.90047i	−0.0403603	+	0.124216i
$987$	0.0159882	+	0.0116161i	0.000508911	+	0.000369746i
$988$	0.235084	+	0.723515i	0.00747902	+	0.0230181i
$989$	−2.26227	+	6.96255i	−0.0719360	+	0.221396i
$990$	4.86540	+	14.9742i	0.154633	+	0.475910i
$991$	−6.87907	−	4.99793i	−0.218521	−	0.158765i	0.473140	−	0.880987i	$-0.343121\pi$
$991$	−6.87907	−	4.99793i	−0.218521	−	0.158765i	−0.691661	+	0.722223i	$0.743121\pi$
$992$	2.58137	+	1.87548i	0.0819587	+	0.0595465i
$993$	0.368185			0.0116840
$994$	−13.7360	−	0.106559i	−0.435678	−	0.00337986i
$995$	−24.1126			−0.764421
$996$	−0.0114088	−	0.00828898i	−0.000361502	−	0.000262646i
$997$	−24.1551	−	17.5497i	−0.764999	−	0.555804i	0.135440	−	0.990785i	$-0.456755\pi$
$997$	−24.1551	−	17.5497i	−0.764999	−	0.555804i	−0.900440	+	0.434981i	$0.856755\pi$
$998$	12.4271	+	38.2467i	0.393373	+	1.21068i
$999$	−0.277580	+	0.854304i	−0.00878225	+	0.0270290i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	71.2.c.a.54.5	yes	20
3.2	odd	2		639.2.f.c.622.1		20
71.5	even	5		5041.2.a.i.1.3		10
71.25	even	5	inner	71.2.c.a.25.5	✓	20
71.66	odd	10		5041.2.a.j.1.3		10
213.167	odd	10		639.2.f.c.451.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
71.2.c.a.25.5	✓	20	71.25	even	5	inner
71.2.c.a.54.5	yes	20	1.1	even	1	trivial
639.2.f.c.451.1		20	213.167	odd	10
639.2.f.c.622.1		20	3.2	odd	2
5041.2.a.i.1.3		10	71.5	even	5
5041.2.a.j.1.3		10	71.66	odd	10

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:	\( N \)	\(=\)	\( 71 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	71.c (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.16276 + 0.844794i) q^{2} +(0.0132545 + 0.00962997i) q^{3} +(0.0202979 + 0.0624704i) q^{4} +(-0.655415 + 2.01716i) q^{5} +(0.00727647 + 0.0223947i) q^{6} +(-0.917632 - 0.666699i) q^{7} +(0.859096 - 2.64402i) q^{8} +(-0.926968 - 2.85291i) q^{9} +O(q^{10})\)	\(q+(1.16276 + 0.844794i) q^{2} +(0.0132545 + 0.00962997i) q^{3} +(0.0202979 + 0.0624704i) q^{4} +(-0.655415 + 2.01716i) q^{5} +(0.00727647 + 0.0223947i) q^{6} +(-0.917632 - 0.666699i) q^{7} +(0.859096 - 2.64402i) q^{8} +(-0.926968 - 2.85291i) q^{9} +(-2.46618 + 1.79178i) q^{10} +(1.39298 + 1.01206i) q^{11} +(-0.000332549 + 0.00102348i) q^{12} +(-4.85502 + 3.52738i) q^{13} +(-0.503762 - 1.55042i) q^{14} +(-0.0281124 + 0.0204249i) q^{15} +(3.33886 - 2.42582i) q^{16} +(0.583987 - 0.424291i) q^{17} +(1.33228 - 4.10035i) q^{18} +(-1.56134 - 1.13438i) q^{19} -0.139316 q^{20} +(-0.00574248 - 0.0176735i) q^{21} +(0.764719 + 2.35356i) q^{22} +4.91590 q^{23} +(0.0368488 - 0.0267722i) q^{24} +(0.405716 + 0.294770i) q^{25} -8.62512 q^{26} +(0.0303753 - 0.0934855i) q^{27} +(0.0230230 - 0.0708574i) q^{28} +(-1.22156 + 3.75958i) q^{29} -0.0499427 q^{30} +(6.94996 + 5.04944i) q^{31} +0.371423 q^{32} +(0.00871718 + 0.0268287i) q^{33} +1.03747 q^{34} +(1.94627 - 1.41405i) q^{35} +(0.159407 - 0.115816i) q^{36} -9.13836 q^{37} +(-0.857145 - 2.63802i) q^{38} -0.0983194 q^{39} +(4.77036 + 3.46587i) q^{40} +2.90715 q^{41} +(0.00825337 - 0.0254013i) q^{42} +(-0.460194 + 1.41633i) q^{43} +(-0.0349492 + 0.107563i) q^{44} +6.36234 q^{45} +(5.71601 + 4.15292i) q^{46} +(-0.860367 + 0.625093i) q^{47} +0.0676155 q^{48} +(-1.76556 - 5.43383i) q^{49} +(0.222730 + 0.685493i) q^{50} +0.0118264 q^{51} +(-0.318903 - 0.231697i) q^{52} +(1.85735 - 5.71635i) q^{53} +(0.114295 - 0.0830402i) q^{54} +(-2.95447 + 2.14655i) q^{55} +(-2.55110 + 1.85348i) q^{56} +(-0.00977076 - 0.0300713i) q^{57} +(-4.59645 + 3.33952i) q^{58} +(4.45539 - 13.7123i) q^{59} +(-0.00184657 - 0.00134161i) q^{60} +(-3.14796 + 2.28712i) q^{61} +(3.81539 + 11.7426i) q^{62} +(-1.05142 + 3.23593i) q^{63} +(-6.24584 - 4.53787i) q^{64} +(-3.93323 - 12.1052i) q^{65} +(-0.0125288 + 0.0385596i) q^{66} +(2.91034 + 8.95712i) q^{67} +(0.0383593 + 0.0278697i) q^{68} +(0.0651579 + 0.0473400i) q^{69} +3.45762 q^{70} +(2.66591 - 7.99330i) q^{71} -8.33953 q^{72} +(-10.2243 - 7.42839i) q^{73} +(-10.6257 - 7.72003i) q^{74} +(0.00253894 + 0.00781407i) q^{75} +(0.0391733 - 0.120563i) q^{76} +(-0.603505 - 1.85740i) q^{77} +(-0.114322 - 0.0830596i) q^{78} +(3.33010 - 10.2490i) q^{79} +(2.70494 + 8.32494i) q^{80} +(-7.27920 + 5.28865i) q^{81} +(3.38031 + 2.45594i) q^{82} +(-4.04940 + 12.4628i) q^{83} +(0.000987512 - 0.000717469i) q^{84} +(0.473110 + 1.45608i) q^{85} +(-1.73160 + 1.25808i) q^{86} +(-0.0523958 + 0.0380678i) q^{87} +(3.87262 - 2.81362i) q^{88} +(-2.11242 + 6.50137i) q^{89} +(7.39786 + 5.37486i) q^{90} +6.80682 q^{91} +(0.0997823 + 0.307098i) q^{92} +(0.0434923 + 0.133856i) q^{93} -1.52847 q^{94} +(3.31155 - 2.40599i) q^{95} +(0.00492303 + 0.00357679i) q^{96} +9.51297 q^{97} +(2.53755 - 7.80976i) q^{98} +(1.59607 - 4.91220i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 6 q^{2} - q^{3} - 10 q^{4} - q^{5} - 8 q^{6} - q^{7} - q^{8} - 10 q^{9}+O(q^{10}) \) 20 * q - 6 * q^2 - q^3 - 10 * q^4 - q^5 - 8 * q^6 - q^7 - q^8 - 10 * q^9	\( 20 q - 6 q^{2} - q^{3} - 10 q^{4} - q^{5} - 8 q^{6} - q^{7} - q^{8} - 10 q^{9} + 15 q^{10} - q^{11} + 4 q^{12} + 3 q^{13} + 5 q^{14} - 5 q^{15} - 16 q^{16} - 2 q^{17} + 36 q^{18} + 3 q^{19} - 72 q^{20} + 25 q^{21} + 10 q^{22} - 22 q^{23} + 19 q^{24} + 14 q^{25} - 42 q^{26} + 2 q^{27} + 4 q^{28} - q^{29} + 20 q^{30} + 6 q^{31} + 52 q^{32} + 10 q^{33} - 34 q^{34} + 3 q^{35} + 20 q^{36} - 6 q^{37} + 25 q^{38} - 86 q^{39} + 65 q^{40} - 60 q^{41} + 27 q^{42} + 23 q^{43} + 37 q^{44} - 44 q^{45} - 19 q^{46} + 29 q^{47} - 96 q^{48} + 22 q^{49} + 36 q^{50} + 34 q^{51} + 43 q^{52} + 2 q^{53} + 4 q^{54} + 10 q^{55} + 31 q^{56} - 18 q^{57} - 33 q^{58} + 31 q^{59} - 38 q^{60} - 2 q^{61} + 5 q^{62} + 23 q^{63} - 65 q^{64} + 54 q^{65} - 94 q^{66} - 38 q^{67} - 3 q^{68} + 11 q^{69} - 34 q^{70} + 45 q^{71} - 10 q^{72} - 21 q^{73} + 21 q^{74} + 13 q^{75} - q^{76} - 12 q^{77} - 6 q^{78} - 59 q^{79} - 16 q^{80} - 35 q^{81} + 53 q^{82} - 15 q^{83} - 33 q^{84} + 13 q^{85} - 19 q^{86} + 49 q^{87} - 64 q^{88} + 16 q^{89} + 86 q^{90} - 18 q^{91} + 86 q^{92} - 62 q^{94} + 15 q^{95} + 107 q^{96} - 58 q^{97} - 30 q^{98} + 30 q^{99}+O(q^{100}) \) 20 * q - 6 * q^2 - q^3 - 10 * q^4 - q^5 - 8 * q^6 - q^7 - q^8 - 10 * q^9 + 15 * q^10 - q^11 + 4 * q^12 + 3 * q^13 + 5 * q^14 - 5 * q^15 - 16 * q^16 - 2 * q^17 + 36 * q^18 + 3 * q^19 - 72 * q^20 + 25 * q^21 + 10 * q^22 - 22 * q^23 + 19 * q^24 + 14 * q^25 - 42 * q^26 + 2 * q^27 + 4 * q^28 - q^29 + 20 * q^30 + 6 * q^31 + 52 * q^32 + 10 * q^33 - 34 * q^34 + 3 * q^35 + 20 * q^36 - 6 * q^37 + 25 * q^38 - 86 * q^39 + 65 * q^40 - 60 * q^41 + 27 * q^42 + 23 * q^43 + 37 * q^44 - 44 * q^45 - 19 * q^46 + 29 * q^47 - 96 * q^48 + 22 * q^49 + 36 * q^50 + 34 * q^51 + 43 * q^52 + 2 * q^53 + 4 * q^54 + 10 * q^55 + 31 * q^56 - 18 * q^57 - 33 * q^58 + 31 * q^59 - 38 * q^60 - 2 * q^61 + 5 * q^62 + 23 * q^63 - 65 * q^64 + 54 * q^65 - 94 * q^66 - 38 * q^67 - 3 * q^68 + 11 * q^69 - 34 * q^70 + 45 * q^71 - 10 * q^72 - 21 * q^73 + 21 * q^74 + 13 * q^75 - q^76 - 12 * q^77 - 6 * q^78 - 59 * q^79 - 16 * q^80 - 35 * q^81 + 53 * q^82 - 15 * q^83 - 33 * q^84 + 13 * q^85 - 19 * q^86 + 49 * q^87 - 64 * q^88 + 16 * q^89 + 86 * q^90 - 18 * q^91 + 86 * q^92 - 62 * q^94 + 15 * q^95 + 107 * q^96 - 58 * q^97 - 30 * q^98 + 30 * q^99

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