LMFDB - Embedded newform 77.2.f.b.64.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [77,2,Mod(15,77)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(77, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("77.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 77 = 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	77.f (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:	$0.614848095564$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 3 x^{15} + 14 x^{14} - 32 x^{13} + 86 x^{12} - 145 x^{11} + 245 x^{10} - 245 x^{9} + 640 x^{8} + \cdots + 25 $ x^16 - 3x^15 + 14x^14 - 32x^13 + 86x^12 - 145x^11 + 245x^10 - 245x^9 + 640x^8 - 1175x^7 + 2135x^6 - 2300x^5 + 1850x^4 - 925x^3 + 700x^2 - 200*x + 25
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			64.1
Root			$0.751051 - 2.31150i$ of defining polynomial
Character	$\chi$	$=$	77.64
Dual form			77.2.f.b.71.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.751051 + 2.31150i) q^{2} +(-1.16030 + 0.843005i) q^{3} +(-3.16091 - 2.29654i) q^{4} +(0.388938 + 1.19703i) q^{5} +(-1.07716 - 3.31516i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(3.74989 - 2.72445i) q^{8} +(-0.291419 + 0.896896i) q^{9} +O(q^{10})$	\(q+(-0.751051 + 2.31150i) q^{2} +(-1.16030 + 0.843005i) q^{3} +(-3.16091 - 2.29654i) q^{4} +(0.388938 + 1.19703i) q^{5} +(-1.07716 - 3.31516i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(3.74989 - 2.72445i) q^{8} +(-0.291419 + 0.896896i) q^{9} -3.05904 q^{10} +(3.18332 - 0.930846i) q^{11} +5.60359 q^{12} +(-0.982152 + 3.02275i) q^{13} +(1.96628 - 1.42858i) q^{14} +(-1.46039 - 1.06103i) q^{15} +(1.06649 + 3.28231i) q^{16} +(1.83067 + 5.63423i) q^{17} +(-1.85430 - 1.34723i) q^{18} +(-2.31558 + 1.68237i) q^{19} +(1.51962 - 4.67691i) q^{20} +1.43421 q^{21} +(-0.239188 + 8.05735i) q^{22} +6.76343 q^{23} +(-2.05426 + 6.32235i) q^{24} +(2.76348 - 2.00778i) q^{25} +(-6.24944 - 4.54048i) q^{26} +(-1.74754 - 5.37837i) q^{27} +(1.20736 + 3.71587i) q^{28} +(-3.63693 - 2.64238i) q^{29} +(3.54940 - 2.57879i) q^{30} +(3.00597 - 9.25141i) q^{31} +0.882184 q^{32} +(-2.90889 + 3.76361i) q^{33} -14.3984 q^{34} +(0.388938 - 1.19703i) q^{35} +(2.98090 - 2.16575i) q^{36} +(4.41315 + 3.20634i) q^{37} +(-2.14967 - 6.61601i) q^{38} +(-1.40861 - 4.33525i) q^{39} +(4.71972 + 3.42908i) q^{40} +(0.254423 - 0.184849i) q^{41} +(-1.07716 + 3.31516i) q^{42} -0.132562 q^{43} +(-12.1999 - 4.36829i) q^{44} -1.18696 q^{45} +(-5.07968 + 15.6337i) q^{46} +(-7.58458 + 5.51052i) q^{47} +(-4.00445 - 2.90940i) q^{48} +(0.309017 + 0.951057i) q^{49} +(2.56548 + 7.89572i) q^{50} +(-6.87381 - 4.99412i) q^{51} +(10.0463 - 7.29910i) q^{52} +(1.34482 - 4.13893i) q^{53} +13.7446 q^{54} +(2.35237 + 3.44849i) q^{55} -4.63512 q^{56} +(1.26852 - 3.90410i) q^{57} +(8.83939 - 6.42219i) q^{58} +(5.62012 + 4.08326i) q^{59} +(2.17945 + 6.70766i) q^{60} +(-0.757757 - 2.33214i) q^{61} +(19.1270 + 13.8966i) q^{62} +(0.762946 - 0.554312i) q^{63} +(-2.79554 + 8.60379i) q^{64} -4.00032 q^{65} +(-6.51486 - 9.55056i) q^{66} -9.41987 q^{67} +(7.15262 - 22.0135i) q^{68} +(-7.84759 + 5.70161i) q^{69} +(2.47482 + 1.79806i) q^{70} +(-0.0360345 - 0.110903i) q^{71} +(1.35076 + 4.15722i) q^{72} +(-0.497571 - 0.361506i) q^{73} +(-10.7260 + 7.79286i) q^{74} +(-1.51388 + 4.65925i) q^{75} +11.1830 q^{76} +(-3.12250 - 1.11804i) q^{77} +11.0789 q^{78} +(2.63569 - 8.11183i) q^{79} +(-3.51423 + 2.55324i) q^{80} +(4.27282 + 3.10438i) q^{81} +(0.236194 + 0.726930i) q^{82} +(0.293731 + 0.904010i) q^{83} +(-4.53340 - 3.29371i) q^{84} +(-6.03232 + 4.38274i) q^{85} +(0.0995608 - 0.306417i) q^{86} +6.44746 q^{87} +(9.40104 - 12.1634i) q^{88} +10.0552 q^{89} +(0.891464 - 2.74364i) q^{90} +(2.57131 - 1.86816i) q^{91} +(-21.3786 - 15.5325i) q^{92} +(4.31118 + 13.2684i) q^{93} +(-7.04114 - 21.6704i) q^{94} +(-2.91446 - 2.11748i) q^{95} +(-1.02360 + 0.743685i) q^{96} +(5.43159 - 16.7167i) q^{97} -2.43045 q^{98} +(-0.0928085 + 3.12637i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9}+O(q^{10}) $ 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9} + 12 q^{10} - 3 q^{11} + 18 q^{12} - 7 q^{13} + 2 q^{14} - 18 q^{15} + 17 q^{16} - 5 q^{17} + 11 q^{18} + 19 q^{19} + q^{20} + 8 q^{21} - 33 q^{22} + 32 q^{23} - 35 q^{24} + 7 q^{25} - 27 q^{26} + 10 q^{27} + 4 q^{28} + 3 q^{29} - 2 q^{30} - 7 q^{31} + 32 q^{32} - 26 q^{33} - 24 q^{34} - 5 q^{35} + 52 q^{36} + 4 q^{37} - 5 q^{38} + 11 q^{39} - 10 q^{40} - 10 q^{41} + 3 q^{42} - 8 q^{43} - 38 q^{44} + 70 q^{45} - 42 q^{46} - 23 q^{47} - 36 q^{48} - 4 q^{49} + 52 q^{50} - 29 q^{51} + 33 q^{52} + 4 q^{53} + 60 q^{54} - 12 q^{55} - 11 q^{57} + 20 q^{58} + 17 q^{59} - 30 q^{60} - 7 q^{61} + 79 q^{62} - 2 q^{63} + 7 q^{64} - 8 q^{65} + 8 q^{66} - 38 q^{67} - 2 q^{68} + 10 q^{69} - 18 q^{70} - 14 q^{71} - 35 q^{73} - 29 q^{74} + 9 q^{75} + 52 q^{76} - 3 q^{77} - 58 q^{78} + 15 q^{79} - 87 q^{80} - 14 q^{81} + 19 q^{82} + 5 q^{83} + 8 q^{84} + 6 q^{85} - 52 q^{86} - 72 q^{87} + 55 q^{88} + 74 q^{89} - 14 q^{90} + 13 q^{91} - 55 q^{92} + 32 q^{93} - 24 q^{94} + 32 q^{95} - 42 q^{96} + 20 q^{97} + 2 q^{98} + 16 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9 + 12 * q^10 - 3 * q^11 + 18 * q^12 - 7 * q^13 + 2 * q^14 - 18 * q^15 + 17 * q^16 - 5 * q^17 + 11 * q^18 + 19 * q^19 + q^20 + 8 * q^21 - 33 * q^22 + 32 * q^23 - 35 * q^24 + 7 * q^25 - 27 * q^26 + 10 * q^27 + 4 * q^28 + 3 * q^29 - 2 * q^30 - 7 * q^31 + 32 * q^32 - 26 * q^33 - 24 * q^34 - 5 * q^35 + 52 * q^36 + 4 * q^37 - 5 * q^38 + 11 * q^39 - 10 * q^40 - 10 * q^41 + 3 * q^42 - 8 * q^43 - 38 * q^44 + 70 * q^45 - 42 * q^46 - 23 * q^47 - 36 * q^48 - 4 * q^49 + 52 * q^50 - 29 * q^51 + 33 * q^52 + 4 * q^53 + 60 * q^54 - 12 * q^55 - 11 * q^57 + 20 * q^58 + 17 * q^59 - 30 * q^60 - 7 * q^61 + 79 * q^62 - 2 * q^63 + 7 * q^64 - 8 * q^65 + 8 * q^66 - 38 * q^67 - 2 * q^68 + 10 * q^69 - 18 * q^70 - 14 * q^71 - 35 * q^73 - 29 * q^74 + 9 * q^75 + 52 * q^76 - 3 * q^77 - 58 * q^78 + 15 * q^79 - 87 * q^80 - 14 * q^81 + 19 * q^82 + 5 * q^83 + 8 * q^84 + 6 * q^85 - 52 * q^86 - 72 * q^87 + 55 * q^88 + 74 * q^89 - 14 * q^90 + 13 * q^91 - 55 * q^92 + 32 * q^93 - 24 * q^94 + 32 * q^95 - 42 * q^96 + 20 * q^97 + 2 * q^98 + 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/77\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−0.751051	+	2.31150i	−0.531073	+	1.63448i	0.220910	+	0.975294i	$0.429097\pi$
$2$	−0.751051	+	2.31150i	−0.531073	+	1.63448i	−0.751984	+	0.659182i	$0.770903\pi$
$3$	−1.16030	+	0.843005i	−0.669898	+	0.486709i	−0.869991	−	0.493068i	$-0.835876\pi$
$3$	−1.16030	+	0.843005i	−0.669898	+	0.486709i	0.200093	+	0.979777i	$0.435876\pi$
$4$	−3.16091	−	2.29654i	−1.58046	−	1.14827i
$5$	0.388938	+	1.19703i	0.173939	+	0.535328i	0.999583	−	0.0288624i	$-0.00918846\pi$
$5$	0.388938	+	1.19703i	0.173939	+	0.535328i	−0.825645	+	0.564190i	$0.809188\pi$
$6$	−1.07716	−	3.31516i	−0.439750	−	1.35341i
$7$	−0.809017	−	0.587785i	−0.305780	−	0.222162i
$7$	−0.809017	−	0.587785i	−0.305780	−	0.222162i
$8$	3.74989	−	2.72445i	1.32579	−	0.963239i
$9$	−0.291419	+	0.896896i	−0.0971398	+	0.298965i
$10$	−3.05904			−0.967354
$11$	3.18332	−	0.930846i	0.959807	−	0.280661i
$11$	3.18332	−	0.930846i	0.959807	−	0.280661i
$12$	5.60359			1.61762
$13$	−0.982152	+	3.02275i	−0.272400	+	0.838361i	0.717496	+	0.696563i	$0.245288\pi$
$13$	−0.982152	+	3.02275i	−0.272400	+	0.838361i	−0.989896	+	0.141798i	$0.954712\pi$
$14$	1.96628	−	1.42858i	0.525510	−	0.381805i
$15$	−1.46039	−	1.06103i	−0.377070	−	0.273957i
$16$	1.06649	+	3.28231i	0.266622	+	0.820578i
$17$	1.83067	+	5.63423i	0.444003	+	1.36650i	0.883573	+	0.468293i	$0.155131\pi$
$17$	1.83067	+	5.63423i	0.444003	+	1.36650i	−0.439570	+	0.898208i	$0.644869\pi$
$18$	−1.85430	−	1.34723i	−0.437063	−	0.317545i
$19$	−2.31558	+	1.68237i	−0.531231	+	0.385962i	−0.820818	−	0.571190i	$-0.806482\pi$
$19$	−2.31558	+	1.68237i	−0.531231	+	0.385962i	0.289587	+	0.957152i	$0.406482\pi$
$20$	1.51962	−	4.67691i	0.339798	−	1.04579i
$21$	1.43421			0.312969
$22$	−0.239188	+	8.05735i	−0.0509950	+	1.71783i
$23$	6.76343			1.41027			0.705136	−	0.709072i	$-0.250886\pi$
$23$	6.76343			1.41027			0.705136	+	0.709072i	$0.250886\pi$
$24$	−2.05426	+	6.32235i	−0.419323	+	1.29054i
$25$	2.76348	−	2.00778i	0.552696	−	0.401557i
$26$	−6.24944	−	4.54048i	−1.22562	−	0.890462i
$27$	−1.74754	−	5.37837i	−0.336314	−	1.03507i
$28$	1.20736	+	3.71587i	0.228170	+	0.702234i
$29$	−3.63693	−	2.64238i	−0.675361	−	0.490678i	0.196454	−	0.980513i	$-0.437057\pi$
$29$	−3.63693	−	2.64238i	−0.675361	−	0.490678i	−0.871815	+	0.489834i	$0.837057\pi$
$30$	3.54940	−	2.57879i	0.648029	−	0.470820i
$31$	3.00597	−	9.25141i	0.539888	−	1.66160i	−0.192957	−	0.981207i	$-0.561808\pi$
$31$	3.00597	−	9.25141i	0.539888	−	1.66160i	0.732845	−	0.680396i	$-0.238192\pi$
$32$	0.882184			0.155950
$33$	−2.90889	+	3.76361i	−0.506373	+	0.655161i
$34$	−14.3984			−2.46931
$35$	0.388938	−	1.19703i	0.0657426	−	0.202335i
$36$	2.98090	−	2.16575i	0.496817	−	0.360959i
$37$	4.41315	+	3.20634i	0.725517	+	0.527119i	0.888142	−	0.459569i	$-0.151996\pi$
$37$	4.41315	+	3.20634i	0.725517	+	0.527119i	−0.162625	+	0.986688i	$0.551996\pi$
$38$	−2.14967	−	6.61601i	−0.348723	−	1.07326i
$39$	−1.40861	−	4.33525i	−0.225558	−	0.694195i
$40$	4.71972	+	3.42908i	0.746254	+	0.542185i
$41$	0.254423	−	0.184849i	0.0397342	−	0.0288686i	−0.567741	−	0.823207i	$-0.692182\pi$
$41$	0.254423	−	0.184849i	0.0397342	−	0.0288686i	0.607475	+	0.794339i	$0.292182\pi$
$42$	−1.07716	+	3.31516i	−0.166210	+	0.511541i
$43$	−0.132562			−0.0202155			−0.0101078	−	0.999949i	$-0.503217\pi$
$43$	−0.132562			−0.0202155			−0.0101078	+	0.999949i	$0.503217\pi$
$44$	−12.1999	−	4.36829i	−1.83921	−	0.658544i
$45$	−1.18696			−0.176941
$46$	−5.07968	+	15.6337i	−0.748958	+	2.30506i
$47$	−7.58458	+	5.51052i	−1.10632	+	0.803791i	−0.982081	−	0.188460i	$-0.939650\pi$
$47$	−7.58458	+	5.51052i	−1.10632	+	0.803791i	−0.124243	+	0.992252i	$0.539650\pi$
$48$	−4.00445	−	2.90940i	−0.577993	−	0.419936i
$49$	0.309017	+	0.951057i	0.0441453	+	0.135865i
$50$	2.56548	+	7.89572i	0.362813	+	1.11662i
$51$	−6.87381	−	4.99412i	−0.962526	−	0.699316i
$52$	10.0463	−	7.29910i	1.39318	−	1.01220i
$53$	1.34482	−	4.13893i	0.184725	−	0.568525i	−0.815219	−	0.579153i	$-0.803383\pi$
$53$	1.34482	−	4.13893i	0.184725	−	0.568525i	0.999944	+	0.0106284i	$0.00338319\pi$
$54$	13.7446			1.87040
$55$	2.35237	+	3.44849i	0.317193	+	0.464994i
$56$	−4.63512			−0.619393
$57$	1.26852	−	3.90410i	0.168019	−	0.517110i
$58$	8.83939	−	6.42219i	1.16067	−	0.843275i
$59$	5.62012	+	4.08326i	0.731678	+	0.531595i	0.890094	−	0.455778i	$-0.150639\pi$
$59$	5.62012	+	4.08326i	0.731678	+	0.531595i	−0.158416	+	0.987372i	$0.550639\pi$
$60$	2.17945	+	6.70766i	0.281366	+	0.865955i
$61$	−0.757757	−	2.33214i	−0.0970209	−	0.298600i	0.890754	−	0.454485i	$-0.150177\pi$
$61$	−0.757757	−	2.33214i	−0.0970209	−	0.298600i	−0.987775	+	0.155886i	$0.950177\pi$
$62$	19.1270	+	13.8966i	2.42913	+	1.76487i
$63$	0.762946	−	0.554312i	0.0961221	−	0.0698368i
$64$	−2.79554	+	8.60379i	−0.349443	+	1.07547i
$65$	−4.00032			−0.496179
$66$	−6.51486	−	9.55056i	−0.801924	−	1.17559i
$67$	−9.41987			−1.15082			−0.575410	−	0.817865i	$-0.695158\pi$
$67$	−9.41987			−1.15082			−0.575410	+	0.817865i	$0.695158\pi$
$68$	7.15262	−	22.0135i	0.867383	−	2.66953i
$69$	−7.84759	+	5.70161i	−0.944739	+	0.686393i
$70$	2.47482	+	1.79806i	0.295797	+	0.214909i
$71$	−0.0360345	−	0.110903i	−0.00427651	−	0.0131617i	0.948895	−	0.315590i	$-0.102203\pi$
$71$	−0.0360345	−	0.110903i	−0.00427651	−	0.0131617i	−0.953172	+	0.302429i	$0.902203\pi$
$72$	1.35076	+	4.15722i	0.159189	+	0.489933i
$73$	−0.497571	−	0.361506i	−0.0582363	−	0.0423111i	0.558286	−	0.829648i	$-0.311459\pi$
$73$	−0.497571	−	0.361506i	−0.0582363	−	0.0423111i	−0.616523	+	0.787337i	$0.711459\pi$
$74$	−10.7260	+	7.79286i	−1.24687	+	0.905902i
$75$	−1.51388	+	4.65925i	−0.174808	+	0.538004i
$76$	11.1830			1.28277
$77$	−3.12250	−	1.11804i	−0.355842	−	0.127412i
$78$	11.0789			1.25443
$79$	2.63569	−	8.11183i	0.296539	−	0.912652i	−0.686162	−	0.727449i	$-0.740706\pi$
$79$	2.63569	−	8.11183i	0.296539	−	0.912652i	0.982700	−	0.185203i	$-0.0592943\pi$
$80$	−3.51423	+	2.55324i	−0.392903	+	0.285460i
$81$	4.27282	+	3.10438i	0.474758	+	0.344932i
$82$	0.236194	+	0.726930i	0.0260832	+	0.0802760i
$83$	0.293731	+	0.904010i	0.0322411	+	0.0992280i	0.965882	−	0.258982i	$-0.0833871\pi$
$83$	0.293731	+	0.904010i	0.0322411	+	0.0992280i	−0.933641	+	0.358210i	$0.883387\pi$
$84$	−4.53340	−	3.29371i	−0.494634	−	0.359373i
$85$	−6.03232	+	4.38274i	−0.654297	+	0.475375i
$86$	0.0995608	−	0.306417i	0.0107359	−	0.0330418i
$87$	6.44746			0.691241
$88$	9.40104	−	12.1634i	1.00215	−	1.29662i
$89$	10.0552			1.06585			0.532923	−	0.846164i	$-0.321094\pi$
$89$	10.0552			1.06585			0.532923	+	0.846164i	$0.321094\pi$
$90$	0.891464	−	2.74364i	0.0939686	−	0.289206i
$91$	2.57131	−	1.86816i	0.269546	−	0.195837i
$92$	−21.3786	−	15.5325i	−2.22887	−	1.61937i
$93$	4.31118	+	13.2684i	0.447048	+	1.37587i
$94$	−7.04114	−	21.6704i	−0.726238	−	2.23513i
$95$	−2.91446	−	2.11748i	−0.299018	−	0.217249i
$96$	−1.02360	+	0.743685i	−0.104470	+	0.0759021i
$97$	5.43159	−	16.7167i	0.551495	−	1.69733i	−0.153530	−	0.988144i	$-0.549064\pi$
$97$	5.43159	−	16.7167i	0.551495	−	1.69733i	0.705025	−	0.709182i	$-0.250936\pi$
$98$	−2.43045			−0.245513
$99$	−0.0928085	+	3.12637i	−0.00932760	+	0.314212i
$100$	−13.3461			−1.33461
$101$	−3.85534	+	11.8655i	−0.383621	+	1.18066i	0.553855	+	0.832613i	$0.313156\pi$
$101$	−3.85534	+	11.8655i	−0.383621	+	1.18066i	−0.937476	+	0.348050i	$0.886844\pi$
$102$	16.7065	−	12.1380i	1.65419	−	1.20184i
$103$	−6.64852	−	4.83043i	−0.655098	−	0.475957i	0.209906	−	0.977722i	$-0.432684\pi$
$103$	−6.64852	−	4.83043i	−0.655098	−	0.475957i	−0.865004	+	0.501765i	$0.832684\pi$
$104$	4.55239	+	14.0108i	0.446398	+	1.37387i
$105$	0.557818	+	1.71679i	0.0544375	+	0.167541i
$106$	8.55709	+	6.21709i	0.831138	+	0.603857i
$107$	−9.86072	+	7.16423i	−0.953272	+	0.692593i	−0.951578	−	0.307406i	$-0.900539\pi$
$107$	−9.86072	+	7.16423i	−0.953272	+	0.692593i	−0.00169340	+	0.999999i	$0.500539\pi$
$108$	−6.82780	+	21.0138i	−0.657006	+	2.02206i
$109$	0.886088			0.0848718			0.0424359	−	0.999099i	$-0.486488\pi$
$109$	0.886088			0.0848718			0.0424359	+	0.999099i	$0.486488\pi$
$110$	−9.73791	+	2.84750i	−0.928474	+	0.271498i
$111$	−7.82353			−0.742577
$112$	1.06649	−	3.28231i	0.100774	−	0.310149i
$113$	−3.67700	+	2.67149i	−0.345903	+	0.251313i	−0.747148	−	0.664658i	$-0.768577\pi$
$113$	−3.67700	+	2.67149i	−0.345903	+	0.251313i	0.401245	+	0.915971i	$0.368577\pi$
$114$	8.07159	+	5.86435i	0.755974	+	0.549247i
$115$	2.63056	+	8.09602i	0.245301	+	0.754958i
$116$	5.42768	+	16.7047i	0.503947	+	1.55099i
$117$	−2.42488	−	1.76178i	−0.224180	−	0.162876i
$118$	−13.6594	+	9.92416i	−1.25745	+	0.913593i
$119$	1.83067	−	5.63423i	0.167817	−	0.516489i
$120$	−8.36702			−0.763801
$121$	9.26705	−	5.92636i	0.842459	−	0.538760i
$122$	5.95984			0.539579
$123$	−0.139378	+	0.428960i	−0.0125673	+	0.0386780i
$124$	−30.7478	+	22.3396i	−2.76123	+	2.00615i
$125$	8.56947	+	6.22608i	0.766477	+	0.556878i
$126$	0.708281	+	2.17986i	0.0630987	+	0.194198i
$127$	−2.48072	−	7.63488i	−0.220129	−	0.677486i	−0.998750	−	0.0499916i	$-0.984081\pi$
$127$	−2.48072	−	7.63488i	−0.220129	−	0.677486i	0.778621	−	0.627494i	$-0.215919\pi$
$128$	−16.3606	−	11.8867i	−1.44609	−	1.05065i
$129$	0.153811	−	0.111750i	0.0135423	−	0.00983908i
$130$	3.00444	−	9.24673i	0.263507	−	0.810992i
$131$	0.101461			0.00886466			0.00443233	−	0.999990i	$-0.498589\pi$
$131$	0.101461			0.00886466			0.00443233	+	0.999990i	$0.498589\pi$
$132$	17.8380	−	5.21608i	1.55260	−	0.454001i
$133$	2.86222			0.248186
$134$	7.07480	−	21.7740i	0.611170	−	1.88099i
$135$	5.75838	−	4.18371i	0.495602	−	0.360076i
$136$	22.2150	+	16.1401i	1.90492	+	1.38401i
$137$	−1.41038	−	4.34071i	−0.120497	−	0.370852i	0.872557	−	0.488513i	$-0.162460\pi$
$137$	−1.41038	−	4.34071i	−0.120497	−	0.370852i	−0.993054	+	0.117661i	$0.962460\pi$
$138$	−7.28531	−	22.4219i	−0.620167	−	1.90868i
$139$	3.09475	+	2.24847i	0.262494	+	0.190713i	0.711246	−	0.702944i	$-0.248131\pi$
$139$	3.09475	+	2.24847i	0.262494	+	0.190713i	−0.448752	+	0.893656i	$0.648131\pi$
$140$	−3.97842	+	2.89049i	−0.336238	+	0.244291i
$141$	4.15497	−	12.7877i	0.349911	−	1.07692i
$142$	0.283415			0.0237837
$143$	−0.312786	+	10.5366i	−0.0261565	+	0.881116i
$144$	−3.25469			−0.271224
$145$	1.74847	−	5.38124i	0.145203	−	0.446887i
$146$	1.20932	−	0.878624i	0.100084	−	0.0727155i
$147$	−1.16030	−	0.843005i	−0.0956997	−	0.0695299i
$148$	−6.58609	−	20.2699i	−0.541374	−	1.66618i
$149$	−1.50560	−	4.63377i	−0.123344	−	0.379613i	0.870252	−	0.492607i	$-0.163956\pi$
$149$	−1.50560	−	4.63377i	−0.123344	−	0.379613i	−0.993596	+	0.112994i	$0.963956\pi$
$150$	−9.63285	−	6.99868i	−0.786519	−	0.571440i
$151$	13.7321	−	9.97699i	1.11751	−	0.811916i	0.133677	−	0.991025i	$-0.457322\pi$
$151$	13.7321	−	9.97699i	1.11751	−	0.811916i	0.983829	+	0.179109i	$0.0573215\pi$
$152$	−4.09964	+	12.6174i	−0.332525	+	1.02341i
$153$	−5.58681			−0.451667
$154$	4.92950	−	6.37794i	0.397230	−	0.513949i
$155$	12.2434			0.983410
$156$	−5.50357	+	16.9383i	−0.440638	+	1.35615i
$157$	−1.81611	+	1.31948i	−0.144941	+	0.105306i	−0.657893	−	0.753112i	$-0.728552\pi$
$157$	−1.81611	+	1.31948i	−0.144941	+	0.105306i	0.512952	+	0.858417i	$0.328552\pi$
$158$	16.7709	+	12.1848i	1.33422	+	0.969371i
$159$	1.92875	+	5.93607i	0.152960	+	0.470761i
$160$	0.343115	+	1.05600i	0.0271256	+	0.0834841i
$161$	−5.47173	−	3.97544i	−0.431233	−	0.313309i
$162$	−10.3849	+	7.54506i	−0.815913	+	0.592796i
$163$	−4.89398	+	15.0621i	−0.383326	+	1.17976i	0.554361	+	0.832276i	$0.312963\pi$
$163$	−4.89398	+	15.0621i	−0.383326	+	1.17976i	−0.937687	+	0.347480i	$0.887037\pi$
$164$	−1.22872			−0.0959470
$165$	−5.63653	−	2.01821i	−0.438804	−	0.157118i
$166$	−2.31022			−0.179308
$167$	6.40950	−	19.7264i	0.495982	−	1.52647i	−0.319440	−	0.947607i	$-0.603495\pi$
$167$	6.40950	−	19.7264i	0.495982	−	1.52647i	0.815421	−	0.578868i	$-0.196505\pi$
$168$	5.37811	−	3.90743i	0.414930	−	0.301464i
$169$	2.34481	+	1.70361i	0.180370	+	0.131047i
$170$	−5.60011	−	17.2354i	−0.429509	−	1.32189i
$171$	−0.834105	−	2.56711i	−0.0637856	−	0.196312i
$172$	0.419017	+	0.304433i	0.0319497	+	0.0232128i
$173$	17.4387	−	12.6700i	1.32584	−	0.963279i	0.326000	−	0.945370i	$-0.394299\pi$
$173$	17.4387	−	12.6700i	1.32584	−	0.963279i	0.999840	−	0.0179090i	$-0.00570093\pi$
$174$	−4.84238	+	14.9033i	−0.367100	+	1.12982i
$175$	−3.41585			−0.258214
$176$	6.45030	+	9.45592i	0.486210	+	0.712767i
$177$	−9.96322			−0.748881
$178$	−7.55194	+	23.2425i	−0.566042	+	1.74210i
$179$	−3.86840	+	2.81056i	−0.289138	+	0.210071i	−0.722893	−	0.690960i	$-0.757188\pi$
$179$	−3.86840	+	2.81056i	−0.289138	+	0.210071i	0.433755	+	0.901031i	$0.357188\pi$
$180$	3.75186	+	2.72589i	0.279647	+	0.203175i
$181$	−2.42666	−	7.46850i	−0.180372	−	0.555129i	0.819466	−	0.573128i	$-0.194270\pi$
$181$	−2.42666	−	7.46850i	−0.180372	−	0.555129i	−0.999838	+	0.0179992i	$0.994270\pi$
$182$	2.38707	+	7.34665i	0.176942	+	0.544570i
$183$	2.84523	+	2.06718i	0.210325	+	0.152810i
$184$	25.3621	−	18.4266i	1.86972	−	1.35843i
$185$	−2.12164	+	6.52974i	−0.155986	+	0.480076i
$186$	−33.9079			−2.48625
$187$	11.0722	+	16.2315i	0.809681	+	1.18696i
$188$	36.6293			2.67146
$189$	−1.74754	+	5.37837i	−0.127115	+	0.391219i
$190$	7.08347	−	5.14644i	0.513889	−	0.373362i
$191$	7.14385	+	5.19031i	0.516911	+	0.375558i	0.815439	−	0.578843i	$-0.196496\pi$
$191$	7.14385	+	5.19031i	0.516911	+	0.375558i	−0.298528	+	0.954401i	$0.596496\pi$
$192$	−4.00938	−	12.3396i	−0.289352	−	0.890535i
$193$	7.91153	+	24.3492i	0.569485	+	1.75269i	0.654235	+	0.756292i	$0.272991\pi$
$193$	7.91153	+	24.3492i	0.569485	+	1.75269i	−0.0847500	+	0.996402i	$0.527009\pi$
$194$	34.5613	+	25.1102i	2.48135	+	1.80281i
$195$	4.64156	−	3.37229i	0.332389	−	0.241495i
$196$	1.20736	−	3.71587i	0.0862400	−	0.265419i
$197$	−11.1977			−0.797802			−0.398901	−	0.916994i	$-0.630608\pi$
$197$	−11.1977			−0.797802			−0.398901	+	0.916994i	$0.630608\pi$
$198$	−7.15690	−	2.56259i	−0.508619	−	0.182116i
$199$	−12.2503			−0.868400			−0.434200	−	0.900817i	$-0.642969\pi$
$199$	−12.2503			−0.868400			−0.434200	+	0.900817i	$0.642969\pi$
$200$	4.89262	−	15.0579i	0.345960	−	1.06476i
$201$	10.9298	−	7.94100i	0.770932	−	0.560115i
$202$	−24.5316	−	17.8232i	−1.72603	−	1.25404i
$203$	1.38918	+	4.27547i	0.0975016	+	0.300079i
$204$	10.2583	+	31.5719i	0.718227	+	2.21048i
$205$	0.320225	+	0.232657i	0.0223655	+	0.0162495i
$206$	16.1589	−	11.7401i	1.12585	−	0.817974i
$207$	−1.97099	+	6.06609i	−0.136994	+	0.421623i
$208$	−10.9691			−0.760568
$209$	−5.80521	+	7.51097i	−0.401555	+	0.519545i
$210$	−4.38730			−0.302752
$211$	−4.40769	+	13.5655i	−0.303438	+	0.933887i	0.676817	+	0.736151i	$0.263359\pi$
$211$	−4.40769	+	13.5655i	−0.303438	+	0.933887i	−0.980255	+	0.197736i	$0.936641\pi$
$212$	−13.7560	+	9.99435i	−0.944769	+	0.686415i
$213$	0.135302	+	0.0983030i	0.00927077	+	0.00673561i
$214$	−9.15420	−	28.1737i	−0.625768	−	1.92592i
$215$	−0.0515585	−	0.158681i	−0.00351626	−	0.0108219i
$216$	−21.2062	−	15.4072i	−1.44290	−	1.04833i
$217$	−7.86972	+	5.71769i	−0.534232	+	0.388142i
$218$	−0.665497	+	2.04819i	−0.0450732	+	0.138721i
$219$	0.882082			0.0596056
$220$	0.483955	−	16.3026i	0.0326282	−	1.09912i
$221$	−18.8289			−1.26657
$222$	5.87587	−	18.0841i	0.394363	−	1.21372i
$223$	2.39793	−	1.74220i	0.160577	−	0.116666i	−0.504595	−	0.863356i	$-0.668358\pi$
$223$	2.39793	−	1.74220i	0.160577	−	0.116666i	0.665172	+	0.746690i	$0.268358\pi$
$224$	−0.713702	−	0.518535i	−0.0476862	−	0.0346460i
$225$	0.995444	+	3.06366i	0.0663629	+	0.204244i
$226$	−3.41354	−	10.5058i	−0.227065	−	0.698835i
$227$	−6.67929	−	4.85279i	−0.443320	−	0.322091i	0.343633	−	0.939104i	$-0.388342\pi$
$227$	−6.67929	−	4.85279i	−0.443320	−	0.322091i	−0.786953	+	0.617013i	$0.788342\pi$
$228$	−12.9756	+	9.42730i	−0.859328	+	0.624338i
$229$	4.05063	−	12.4666i	0.267673	−	0.823813i	−0.723392	−	0.690437i	$-0.757418\pi$
$229$	4.05063	−	12.4666i	0.267673	−	0.823813i	0.991066	−	0.133376i	$-0.0425818\pi$
$230$	−20.6896			−1.36423
$231$	4.56554	−	1.33503i	0.300390	−	0.0878382i
$232$	−20.8371			−1.36802
$233$	−3.96397	+	12.1998i	−0.259688	+	0.799239i	0.733181	+	0.680033i	$0.238035\pi$
$233$	−3.96397	+	12.1998i	−0.259688	+	0.799239i	−0.992870	+	0.119205i	$0.961965\pi$
$234$	5.89355	−	4.28191i	0.385273	−	0.279917i
$235$	−9.54618	−	6.93571i	−0.622724	−	0.452436i
$236$	−8.38735	−	25.8136i	−0.545970	−	1.68032i
$237$	3.78013	+	11.6340i	0.245546	+	0.755712i
$238$	11.6486	+	8.46319i	0.755065	+	0.548587i
$239$	4.02979	−	2.92781i	0.260665	−	0.189384i	−0.449775	−	0.893142i	$-0.648496\pi$
$239$	4.02979	−	2.92781i	0.260665	−	0.189384i	0.710440	+	0.703758i	$0.248496\pi$
$240$	1.92516	−	5.92502i	0.124268	−	0.382459i
$241$	−2.62686			−0.169211			−0.0846053	−	0.996415i	$-0.526963\pi$
$241$	−2.62686			−0.169211			−0.0846053	+	0.996415i	$0.526963\pi$
$242$	6.73874	+	25.8718i	0.433183	+	1.66310i
$243$	9.39070			0.602414
$244$	−2.96063	+	9.11189i	−0.189535	+	0.583329i
$245$	−1.01825	+	0.739805i	−0.0650539	+	0.0472644i
$246$	−0.886861	−	0.644342i	−0.0565442	−	0.0410818i
$247$	−2.81113	−	8.65177i	−0.178868	−	0.550499i
$248$	−13.9330	−	42.8814i	−0.884747	−	2.72297i
$249$	−1.10290	−	0.801303i	−0.0698934	−	0.0507805i
$250$	−20.8277	+	15.1322i	−1.31726	+	0.957045i
$251$	−8.10332	+	24.9395i	−0.511477	+	1.57417i	0.278124	+	0.960545i	$0.410287\pi$
$251$	−8.10332	+	24.9395i	−0.511477	+	1.57417i	−0.789601	+	0.613620i	$0.789713\pi$
$252$	−3.68460			−0.232108
$253$	21.5302	−	6.29571i	1.35359	−	0.395808i
$254$	19.5112			1.22424
$255$	3.30461	−	10.1706i	0.206943	−	0.636905i
$256$	25.1261	−	18.2552i	1.57038	−	1.14095i
$257$	−24.2315	−	17.6052i	−1.51152	−	1.09818i	−0.965497	−	0.260413i	$-0.916141\pi$
$257$	−24.2315	−	17.6052i	−1.51152	−	1.09818i	−0.546022	−	0.837771i	$-0.683859\pi$
$258$	0.142791	+	0.439465i	0.00888977	+	0.0273599i
$259$	−1.68567	−	5.18797i	−0.104743	−	0.322365i
$260$	12.6446	+	9.18688i	0.784188	+	0.569746i
$261$	3.42982	−	2.49191i	0.212300	−	0.154245i
$262$	−0.0762022	+	0.234526i	−0.00470779	+	0.0144891i
$263$	3.33709			0.205774			0.102887	−	0.994693i	$-0.467192\pi$
$263$	3.33709			0.205774			0.102887	+	0.994693i	$0.467192\pi$
$264$	−0.654220	+	22.0383i	−0.0402645	+	1.35636i
$265$	5.47747			0.336478
$266$	−2.14967	+	6.61601i	−0.131805	+	0.405654i
$267$	−11.6670	+	8.47656i	−0.714008	+	0.518757i
$268$	29.7754	+	21.6331i	1.81882	+	1.32145i
$269$	−0.536395	−	1.65086i	−0.0327046	−	0.100654i	0.933372	−	0.358911i	$-0.116852\pi$
$269$	−0.536395	−	1.65086i	−0.0327046	−	0.100654i	−0.966076	+	0.258257i	$0.916852\pi$
$270$	5.34579	+	16.4527i	0.325335	+	1.00128i
$271$	2.00309	+	1.45533i	0.121679	+	0.0884051i	0.646960	−	0.762524i	$-0.276040\pi$
$271$	2.00309	+	1.45533i	0.121679	+	0.0884051i	−0.525281	+	0.850929i	$0.676040\pi$
$272$	−16.5409	+	12.0177i	−1.00294	+	0.728679i
$273$	−1.40861	+	4.33525i	−0.0852528	+	0.262381i
$274$	11.0928			0.670141
$275$	6.92810	−	8.96379i	0.417780	−	0.540537i
$276$	37.8995			2.28128
$277$	1.59320	−	4.90337i	0.0957262	−	0.294615i	−0.891716	−	0.452595i	$-0.850498\pi$
$277$	1.59320	−	4.90337i	0.0957262	−	0.294615i	0.987442	+	0.157980i	$0.0504983\pi$
$278$	−7.52165	+	5.46480i	−0.451119	+	0.327757i
$279$	7.42156	+	5.39208i	0.444317	+	0.322815i
$280$	−1.80277	−	5.54837i	−0.107736	−	0.331578i
$281$	−6.97467	−	21.4658i	−0.416074	−	1.28054i	−0.911287	−	0.411772i	$-0.864910\pi$
$281$	−6.97467	−	21.4658i	−0.416074	−	1.28054i	0.495213	−	0.868772i	$-0.335090\pi$
$282$	26.4381	+	19.2084i	1.57437	+	1.14384i
$283$	6.86659	−	4.98887i	0.408176	−	0.296557i	−0.364687	−	0.931130i	$-0.618824\pi$
$283$	6.86659	−	4.98887i	0.408176	−	0.296557i	0.772863	+	0.634573i	$0.218824\pi$
$284$	−0.140790	+	0.433309i	−0.00835438	+	0.0257121i
$285$	5.16669			0.306049
$286$	−24.1205	−	8.63654i	−1.42627	−	0.510690i
$287$	−0.314484			−0.0185634
$288$	−0.257085	+	0.791227i	−0.0151489	+	0.0466235i
$289$	−14.6399	+	10.6365i	−0.861171	+	0.625677i
$290$	11.1255	+	8.08317i	0.653313	+	0.474660i
$291$	7.79002	+	23.9752i	0.456659	+	1.40545i
$292$	0.742565	+	2.28538i	0.0434553	+	0.133742i
$293$	−19.9229	−	14.4749i	−1.16391	−	0.845630i	−0.173643	−	0.984809i	$-0.555554\pi$
$293$	−19.9229	−	14.4749i	−1.16391	−	0.845630i	−0.990267	+	0.139178i	$0.955554\pi$
$294$	2.82005	−	2.04888i	0.164468	−	0.119493i
$295$	−2.70190	+	8.31559i	−0.157311	+	0.484152i
$296$	25.2843			1.46962
$297$	−10.5694	−	15.4944i	−0.613299	−	0.899075i
$298$	11.8417			0.685973
$299$	−6.64271	+	20.4442i	−0.384158	+	1.18232i
$300$	15.4854	−	11.2508i	0.894050	−	0.649565i
$301$	0.107245	+	0.0779180i	0.00618149	+	0.00449112i
$302$	12.7482	+	39.2351i	0.733579	+	2.25772i
$303$	−5.52935	−	17.0176i	−0.317653	−	0.977636i
$304$	−7.99160	−	5.80624i	−0.458350	−	0.333011i
$305$	2.49692	−	1.81412i	0.142973	−	0.103876i
$306$	4.19598	−	12.9139i	0.239868	−	0.738239i
$307$	4.59391			0.262188			0.131094	−	0.991370i	$-0.458151\pi$
$307$	4.59391			0.262188			0.131094	+	0.991370i	$0.458151\pi$
$308$	7.30232	+	10.7049i	0.416088	+	0.609971i
$309$	11.7863			0.670502
$310$	−9.19538	+	28.3005i	−0.522263	+	1.60736i
$311$	1.78852	−	1.29944i	0.101418	−	0.0736843i	−0.535921	−	0.844268i	$-0.680035\pi$
$311$	1.78852	−	1.29944i	0.101418	−	0.0736843i	0.637338	+	0.770584i	$0.280035\pi$
$312$	−17.0933	−	12.4190i	−0.967718	−	0.703088i
$313$	−2.99724	−	9.22457i	−0.169414	−	0.521403i	0.829920	−	0.557882i	$-0.188386\pi$
$313$	−2.99724	−	9.22457i	−0.169414	−	0.521403i	−0.999334	+	0.0364788i	$0.988386\pi$
$314$	−1.68598	−	5.18892i	−0.0951455	−	0.292828i
$315$	0.960267	+	0.697675i	0.0541049	+	0.0393095i
$316$	−26.9603	+	19.5878i	−1.51664	+	1.10190i
$317$	1.99483	−	6.13944i	0.112041	−	0.344826i	−0.879278	−	0.476310i	$-0.841974\pi$
$317$	1.99483	−	6.13944i	0.112041	−	0.344826i	0.991318	+	0.131484i	$0.0419742\pi$
$318$	−15.1698			−0.850680
$319$	−14.0372	−	5.02613i	−0.785930	−	0.281409i
$320$	−11.3863			−0.636513
$321$	5.40188	−	16.6253i	0.301504	−	0.927933i
$322$	13.2988	−	9.66213i	0.741112	−	0.538449i
$323$	−13.7179	−	9.96666i	−0.763286	−	0.554560i
$324$	−6.37667	−	19.6254i	−0.354259	−	1.09030i
$325$	3.35488	+	10.3253i	0.186095	+	0.572742i
$326$	−31.1404	−	22.6248i	−1.72471	−	1.25307i
$327$	−1.02813	+	0.746977i	−0.0568555	+	0.0413079i
$328$	0.450445	−	1.38633i	0.0248717	−	0.0765471i
$329$	9.37505			0.516863
$330$	8.89842	−	11.5131i	0.489842	−	0.633773i
$331$	3.62076			0.199015			0.0995075	−	0.995037i	$-0.468273\pi$
$331$	3.62076			0.199015			0.0995075	+	0.995037i	$0.468273\pi$
$332$	1.14763	−	3.53206i	0.0629846	−	0.193847i
$333$	−4.16183	+	3.02375i	−0.228067	+	0.165700i
$334$	40.7837	+	29.6311i	2.23158	+	1.62134i
$335$	−3.66375	−	11.2759i	−0.200172	−	0.616066i
$336$	1.52956	+	4.70751i	0.0834446	+	0.256816i
$337$	5.18183	+	3.76482i	0.282272	+	0.205083i	0.719908	−	0.694070i	$-0.244184\pi$
$337$	5.18183	+	3.76482i	0.282272	+	0.205083i	−0.437636	+	0.899152i	$0.644184\pi$
$338$	−5.69896	+	4.14054i	−0.309983	+	0.225215i
$339$	2.01433	−	6.19946i	0.109403	−	0.336708i
$340$	29.1327			1.57994
$341$	0.957312	−	32.2483i	0.0518414	−	1.74634i
$342$	6.56033			0.354742
$343$	0.309017	−	0.951057i	0.0166853	−	0.0513522i
$344$	−0.497093	+	0.361159i	−0.0268014	+	0.0194724i
$345$	−9.87722	−	7.17622i	−0.531772	−	0.386355i
$346$	16.1892	+	49.8253i	0.870338	+	2.67862i
$347$	−5.39544	−	16.6054i	−0.289642	−	0.891427i	−0.984969	−	0.172733i	$-0.944740\pi$
$347$	−5.39544	−	16.6054i	−0.289642	−	0.891427i	0.695327	−	0.718694i	$-0.255260\pi$
$348$	−20.3799	−	14.8068i	−1.09247	−	0.793729i
$349$	17.4949	−	12.7108i	0.936481	−	0.680393i	−0.0110900	−	0.999939i	$-0.503530\pi$
$349$	17.4949	−	12.7108i	0.936481	−	0.680393i	0.947571	+	0.319545i	$0.103530\pi$
$350$	2.56548	−	7.89572i	0.137130	−	0.422044i
$351$	17.9738			0.959371
$352$	2.80827	−	0.821177i	0.149681	−	0.0437689i
$353$	4.40150			0.234268			0.117134	−	0.993116i	$-0.462629\pi$
$353$	4.40150			0.234268			0.117134	+	0.993116i	$0.462629\pi$
$354$	7.48289	−	23.0300i	0.397711	−	1.22403i
$355$	0.118739	−	0.0862688i	0.00630200	−	0.00457867i
$356$	−31.7835	−	23.0920i	−1.68452	−	1.22388i
$357$	2.62556	+	8.08065i	0.138959	+	0.427673i
$358$	−3.59123	−	11.0527i	−0.189802	−	0.584152i
$359$	8.64170	+	6.27857i	0.456092	+	0.331370i	0.791996	−	0.610526i	$-0.209042\pi$
$359$	8.64170	+	6.27857i	0.456092	+	0.331370i	−0.335904	+	0.941896i	$0.609042\pi$
$360$	−4.45095	+	3.23380i	−0.234586	+	0.170436i
$361$	−3.33977	+	10.2787i	−0.175777	+	0.540986i
$362$	19.0860			1.00314
$363$	−5.75658	+	14.6885i	−0.302142	+	0.770947i
$364$	−12.4180			−0.650879
$365$	0.239209	−	0.736211i	0.0125208	−	0.0385350i
$366$	−6.91519	+	5.02418i	−0.361463	+	0.262618i
$367$	−8.26552	−	6.00525i	−0.431456	−	0.313471i	0.350775	−	0.936460i	$-0.385918\pi$
$367$	−8.26552	−	6.00525i	−0.431456	−	0.313471i	−0.782231	+	0.622988i	$0.785918\pi$
$368$	7.21312	+	22.1997i	0.376010	+	1.15724i
$369$	0.0916468	+	0.282060i	0.00477094	+	0.0146835i
$370$	−13.5000	−	9.80834i	−0.701833	−	0.509911i
$371$	−3.52078	+	2.55800i	−0.182790	+	0.132805i
$372$	16.8442	−	51.8411i	0.873331	−	2.68784i
$373$	−27.8851			−1.44383			−0.721917	−	0.691980i	$-0.756739\pi$
$373$	−27.8851			−1.44383			−0.721917	+	0.691980i	$0.756739\pi$
$374$	−45.8348	+	13.4027i	−2.37006	+	0.693039i
$375$	−15.1918			−0.784499
$376$	−13.4282	+	41.3276i	−0.692504	+	2.13131i
$377$	11.5593	−	8.39832i	0.595334	−	0.432535i
$378$	−11.1196	−	8.07886i	−0.571930	−	0.415532i
$379$	0.354761	+	1.09184i	0.0182228	+	0.0560841i	0.959754	−	0.280841i	$-0.0906132\pi$
$379$	0.354761	+	1.09184i	0.0182228	+	0.0560841i	−0.941532	+	0.336925i	$0.890613\pi$
$380$	4.34949	+	13.3863i	0.223124	+	0.686705i
$381$	9.31462	+	6.76747i	0.477202	+	0.346708i
$382$	−17.3628	+	12.6148i	−0.888358	+	0.645430i
$383$	−6.16539	+	18.9751i	−0.315037	+	0.969583i	0.660703	+	0.750648i	$0.270258\pi$
$383$	−6.16539	+	18.9751i	−0.315037	+	0.969583i	−0.975739	+	0.218936i	$0.929742\pi$
$384$	29.0038			1.48009
$385$	0.123865	−	4.17257i	0.00631277	−	0.212654i
$386$	−62.2251			−3.16717
$387$	0.0386311	−	0.118894i	0.00196373	−	0.00604374i
$388$	−55.5593	+	40.3662i	−2.82060	+	2.04928i
$389$	−2.10345	−	1.52824i	−0.106649	−	0.0774850i	0.533183	−	0.846000i	$-0.320996\pi$
$389$	−2.10345	−	1.52824i	−0.106649	−	0.0774850i	−0.639832	+	0.768515i	$0.720996\pi$
$390$	4.30899	+	13.2617i	0.218194	+	0.671533i
$391$	12.3816	+	38.1067i	0.626166	+	1.92714i
$392$	3.74989	+	2.72445i	0.189398	+	0.137606i
$393$	−0.117725	+	0.0855319i	−0.00593842	+	0.00431451i
$394$	8.41003	−	25.8834i	0.423691	−	1.30399i
$395$	10.7352			0.540148
$396$	7.47319	−	9.66905i	0.375542	−	0.485888i
$397$	8.77237			0.440272			0.220136	−	0.975469i	$-0.429350\pi$
$397$	8.77237			0.440272			0.220136	+	0.975469i	$0.429350\pi$
$398$	9.20059	−	28.3165i	0.461184	−	1.41938i
$399$	−3.32102	+	2.41286i	−0.166259	+	0.120794i
$400$	9.53740	+	6.92932i	0.476870	+	0.346466i
$401$	8.76171	+	26.9658i	0.437539	+	1.34661i	0.890462	+	0.455057i	$0.150381\pi$
$401$	8.76171	+	26.9658i	0.437539	+	1.34661i	−0.452923	+	0.891549i	$0.649619\pi$
$402$	10.1467	+	31.2284i	0.506073	+	1.55753i
$403$	25.0124	+	18.1726i	1.24596	+	0.905241i
$404$	39.4360	−	28.6519i	1.96201	−	1.42549i
$405$	−2.05418	+	6.32210i	−0.102073	+	0.314148i
$406$	−10.9261			−0.542252
$407$	17.0331	+	6.09885i	0.844298	+	0.302309i
$408$	−39.3822			−1.94971
$409$	6.15114	−	18.9313i	0.304154	−	0.936091i	−0.675837	−	0.737051i	$-0.736218\pi$
$409$	6.15114	−	18.9313i	0.304154	−	0.936091i	0.979991	−	0.199040i	$-0.0637823\pi$
$410$	−0.778292	+	0.565462i	−0.0384371	+	0.0279262i
$411$	5.29570	+	3.84755i	0.261218	+	0.189786i
$412$	9.92212	+	30.5371i	0.488828	+	1.50446i
$413$	−2.14670	−	6.60685i	−0.105632	−	0.325102i
$414$	−12.5414	−	9.11189i	−0.616379	−	0.447825i
$415$	−0.967883	+	0.703208i	−0.0475115	+	0.0345191i
$416$	−0.866438	+	2.66662i	−0.0424806	+	0.130742i
$417$	−5.48631			−0.268666
$418$	−13.0016	−	19.0599i	−0.635928	−	0.932248i
$419$	−30.8957			−1.50935			−0.754676	−	0.656097i	$-0.772206\pi$
$419$	−30.8957			−1.50935			−0.754676	+	0.656097i	$0.772206\pi$
$420$	2.17945	−	6.70766i	0.106346	−	0.327300i
$421$	19.5727	−	14.2204i	0.953913	−	0.693058i	0.00218371	−	0.999998i	$-0.499305\pi$
$421$	19.5727	−	14.2204i	0.953913	−	0.693058i	0.951729	+	0.306939i	$0.0993049\pi$
$422$	−28.0462	−	20.3767i	−1.36527	−	0.991925i
$423$	−2.73207	−	8.40845i	−0.132838	−	0.408833i
$424$	−6.23339	−	19.1844i	−0.302720	−	0.931677i
$425$	16.3713	+	11.8945i	0.794127	+	0.576967i
$426$	−0.328846	+	0.238921i	−0.0159326	+	0.0115757i
$427$	−0.757757	+	2.33214i	−0.0366704	+	0.112860i
$428$	47.6218			2.30188
$429$	−8.51950	−	12.4893i	−0.411325	−	0.602989i
$430$	0.405513			0.0195556
$431$	5.99495	−	18.4506i	0.288766	−	0.888732i	−0.696478	−	0.717578i	$-0.745251\pi$
$431$	5.99495	−	18.4506i	0.288766	−	0.888732i	0.985244	−	0.171154i	$-0.0547494\pi$
$432$	15.7898	−	11.4719i	0.759685	−	0.551944i
$433$	17.3030	+	12.5714i	0.831530	+	0.604142i	0.919992	−	0.391937i	$-0.128195\pi$
$433$	17.3030	+	12.5714i	0.831530	+	0.604142i	−0.0884616	+	0.996080i	$0.528195\pi$
$434$	−7.30586	−	22.4851i	−0.350692	−	1.07932i
$435$	2.50767	+	7.71780i	0.120233	+	0.370040i
$436$	−2.80084	−	2.03493i	−0.134136	−	0.0974556i
$437$	−15.6613	+	11.3786i	−0.749181	+	0.544312i
$438$	−0.662489	+	2.03893i	−0.0316549	+	0.0974239i
$439$	−31.7315			−1.51446			−0.757232	−	0.653146i	$-0.773449\pi$
$439$	−31.7315			−1.51446			−0.757232	+	0.653146i	$0.773449\pi$
$440$	18.2163	+	6.52252i	0.868430	+	0.310949i
$441$	−0.943053			−0.0449073
$442$	14.1415	−	43.5229i	0.672640	−	2.07017i
$443$	1.34791	−	0.979312i	0.0640410	−	0.0465285i	−0.555304	−	0.831647i	$-0.687398\pi$
$443$	1.34791	−	0.979312i	0.0640410	−	0.0465285i	0.619345	+	0.785119i	$0.287398\pi$
$444$	24.7295	+	17.9670i	1.17361	+	0.852677i
$445$	3.91084	+	12.0363i	0.185392	+	0.570577i
$446$	2.22612	+	6.85128i	0.105410	+	0.324417i
$447$	5.65324	+	4.10732i	0.267389	+	0.194270i
$448$	7.31882	−	5.31744i	0.345782	−	0.251225i
$449$	−5.31070	+	16.3447i	−0.250627	+	0.771352i	0.744032	+	0.668144i	$0.232911\pi$
$449$	−5.31070	+	16.3447i	−0.250627	+	0.771352i	−0.994660	+	0.103208i	$0.967089\pi$
$450$	−7.82927			−0.369076
$451$	0.637844	−	0.825263i	0.0300349	−	0.0388601i
$452$	17.7578			0.835258
$453$	−7.52272	+	23.1525i	−0.353448	+	1.08780i
$454$	16.2337	−	11.7945i	0.761885	−	0.553542i
$455$	3.23633	+	2.35133i	0.151721	+	0.110232i
$456$	−5.87973	−	18.0959i	−0.275343	−	0.847420i
$457$	3.15835	+	9.72041i	0.147741	+	0.454701i	0.997353	−	0.0727070i	$-0.0231638\pi$
$457$	3.15835	+	9.72041i	0.147741	+	0.454701i	−0.849612	+	0.527408i	$0.823164\pi$
$458$	25.7742	+	18.7260i	1.20435	+	0.875010i
$459$	27.1038	−	19.6921i	1.26510	−	0.919147i
$460$	10.2779	−	31.6320i	0.479207	−	1.47485i
$461$	−22.1160			−1.03004			−0.515022	−	0.857177i	$-0.672216\pi$
$461$	−22.1160			−1.03004			−0.515022	+	0.857177i	$0.672216\pi$
$462$	−0.343044	+	11.5559i	−0.0159599	+	0.537629i
$463$	−30.3717			−1.41149			−0.705747	−	0.708464i	$-0.749389\pi$
$463$	−30.3717			−1.41149			−0.705747	+	0.708464i	$0.749389\pi$
$464$	4.79439	−	14.7556i	0.222574	−	0.685012i
$465$	−14.2059	+	10.3212i	−0.658784	+	0.478635i
$466$	−25.2228	−	18.3254i	−1.16842	−	0.848909i
$467$	7.78441	+	23.9580i	0.360220	+	1.10864i	0.952921	+	0.303220i	$0.0980615\pi$
$467$	7.78441	+	23.9580i	0.360220	+	1.10864i	−0.592701	+	0.805422i	$0.701938\pi$
$468$	3.61884	+	11.1376i	0.167281	+	0.514837i
$469$	7.62083	+	5.53686i	0.351897	+	0.255668i
$470$	23.2015	−	16.8569i	1.07021	−	0.777551i
$471$	0.994895	−	3.06197i	0.0458424	−	0.141088i
$472$	32.1995			1.48210
$473$	−0.421987	+	0.123395i	−0.0194030	+	0.00567370i
$474$	−29.7311			−1.36560
$475$	−3.02123	+	9.29838i	−0.138623	+	0.426639i
$476$	−18.7258	+	13.6051i	−0.858296	+	0.623588i
$477$	3.32028	+	2.41233i	0.152025	+	0.110453i
$478$	3.74105	+	11.5138i	0.171112	+	0.526628i
$479$	−6.55239	−	20.1662i	−0.299386	−	0.921417i	−0.981713	−	0.190369i	$-0.939032\pi$
$479$	−6.55239	−	20.1662i	−0.299386	−	0.921417i	0.682326	−	0.731048i	$-0.260968\pi$
$480$	−1.28833	−	0.936026i	−0.0588039	−	0.0427235i
$481$	−14.0264	+	10.1907i	−0.639547	+	0.464658i
$482$	1.97290	−	6.07197i	0.0898633	−	0.276571i
$483$	9.70015			0.441372
$484$	−42.9024	−	2.54942i	−1.95011	−	0.115883i
$485$	22.1230			1.00455
$486$	−7.05290	+	21.7066i	−0.319926	+	0.984631i
$487$	13.6075	−	9.88641i	0.616613	−	0.447996i	−0.235123	−	0.971966i	$-0.575549\pi$
$487$	13.6075	−	9.88641i	0.616613	−	0.447996i	0.851737	+	0.523970i	$0.175549\pi$
$488$	−9.19530	−	6.68078i	−0.416252	−	0.302425i
$489$	−7.01897	−	21.6022i	−0.317409	−	0.976884i
$490$	−0.945296	−	2.90932i	−0.0427041	−	0.131430i
$491$	−3.91406	−	2.84373i	−0.176639	−	0.128336i	0.495953	−	0.868350i	$-0.334819\pi$
$491$	−3.91406	−	2.84373i	−0.176639	−	0.128336i	−0.672592	+	0.740014i	$0.734819\pi$
$492$	1.42568	−	1.03582i	0.0642747	−	0.0466983i
$493$	8.22978	−	25.3286i	0.370650	−	1.14074i
$494$	22.1099			0.994770
$495$	−3.77846	+	1.10487i	−0.169829	+	0.0496603i
$496$	33.5719			1.50742
$497$	−0.0360345	+	0.110903i	−0.00161637	+	0.00497467i
$498$	2.68055	−	1.94753i	0.120118	−	0.0872709i
$499$	−24.7426	−	17.9766i	−1.10763	−	0.804742i	−0.125343	−	0.992114i	$-0.540003\pi$
$499$	−24.7426	−	17.9766i	−1.10763	−	0.804742i	−0.982289	+	0.187372i	$0.940003\pi$
$500$	−12.7889	−	39.3602i	−0.571937	−	1.76024i
$501$	9.19254	+	28.2917i	0.410692	+	1.26398i
$502$	−51.5615	−	37.4616i	−2.30130	−	1.67199i
$503$	22.8472	−	16.5994i	1.01871	−	0.740133i	0.0526880	−	0.998611i	$-0.483221\pi$
$503$	22.8472	−	16.5994i	1.01871	−	0.740133i	0.966017	+	0.258478i	$0.0832211\pi$
$504$	1.35076	−	4.15722i	0.0601677	−	0.185177i
$505$	−15.7029			−0.698768
$506$	−1.61773	+	54.4953i	−0.0719168	+	2.42261i
$507$	−4.15683			−0.184611
$508$	−9.69243	+	29.8302i	−0.430032	+	1.32350i
$509$	3.39839	−	2.46908i	0.150631	−	0.109440i	−0.509917	−	0.860224i	$-0.670324\pi$
$509$	3.39839	−	2.46908i	0.150631	−	0.109440i	0.660548	+	0.750784i	$0.270324\pi$
$510$	21.0273	+	15.2772i	0.931104	+	0.676486i
$511$	0.190055	+	0.584930i	0.00840755	+	0.0258758i
$512$	10.8274	+	33.3234i	0.478509	+	1.47270i
$513$	13.0950	+	9.51405i	0.578157	+	0.420056i
$514$	58.8935	−	42.7886i	2.59768	−	1.88733i
$515$	3.19631	−	9.83722i	0.140846	−	0.433480i
$516$	−0.742823			−0.0327009
$517$	−19.0147	+	24.6018i	−0.836265	+	1.08199i
$518$	13.2580			0.582523
$519$	−9.55323	+	29.4018i	−0.419340	+	1.29060i
$520$	−15.0007	+	10.8987i	−0.657826	+	0.477939i
$521$	16.7037	+	12.1360i	0.731804	+	0.531687i	0.890134	−	0.455700i	$-0.150611\pi$
$521$	16.7037	+	12.1360i	0.731804	+	0.531687i	−0.158330	+	0.987386i	$0.550611\pi$
$522$	3.18407	+	9.79956i	0.139363	+	0.428915i
$523$	−6.99431	−	21.5263i	−0.305840	−	0.941278i	−0.979362	−	0.202112i	$-0.935220\pi$
$523$	−6.99431	−	21.5263i	−0.305840	−	0.941278i	0.673523	−	0.739167i	$-0.264780\pi$
$524$	−0.320708	−	0.233008i	−0.0140102	−	0.0101790i
$525$	3.96340	−	2.87958i	0.172977	−	0.125675i
$526$	−2.50632	+	7.71367i	−0.109281	+	0.336332i
$527$	57.6275			2.51030
$528$	−15.4557	−	5.53404i	−0.672621	−	0.240838i
$529$	22.7440			0.988869
$530$	−4.11386	+	12.6612i	−0.178695	+	0.549965i
$531$	−5.30007	+	3.85073i	−0.230003	+	0.167107i
$532$	−9.04721	−	6.57318i	−0.392246	−	0.284984i
$533$	0.308871	+	0.950608i	0.0133787	+	0.0411754i
$534$	−10.8310	−	33.3345i	−0.468705	−	1.44253i
$535$	−12.4110	−	9.01713i	−0.536575	−	0.389844i
$536$	−35.3234	+	25.6640i	−1.52574	+	1.10852i
$537$	2.11918	−	6.52216i	0.0914494	−	0.281452i
$538$	4.21881			0.181886
$539$	1.86899	+	2.73987i	0.0805030	+	0.118015i
$540$	−27.8098			−1.19674
$541$	13.2001	−	40.6256i	0.567515	−	1.74663i	−0.0928437	−	0.995681i	$-0.529596\pi$
$541$	13.2001	−	40.6256i	0.567515	−	1.74663i	0.660359	−	0.750950i	$-0.270404\pi$
$542$	−4.86842	+	3.53711i	−0.209117	+	0.151932i
$543$	9.11163	+	6.61999i	0.391018	+	0.284091i
$544$	1.61499	+	4.97043i	0.0692421	+	0.213105i
$545$	0.344634	+	1.06067i	0.0147625	+	0.0454343i
$546$	−8.96298	−	6.51199i	−0.383580	−	0.278687i
$547$	−35.9873	+	26.1463i	−1.53870	+	1.11793i	−0.587563	+	0.809178i	$0.699913\pi$
$547$	−35.9873	+	26.1463i	−1.53870	+	1.11793i	−0.951141	+	0.308756i	$0.900087\pi$
$548$	−5.51050	+	16.9596i	−0.235397	+	0.724477i
$549$	2.31251			0.0986955
$550$	15.5164	+	22.7466i	0.661623	+	0.969916i
$551$	12.8671			0.548156
$552$	−13.8938	+	42.7608i	−0.591360	+	1.82002i
$553$	−6.90033	+	5.01339i	−0.293432	+	0.213191i
$554$	10.1376	+	7.36536i	0.430703	+	0.312924i
$555$	−3.04287	−	9.36499i	−0.129163	−	0.397522i
$556$	−4.61855	−	14.2144i	−0.195870	−	0.602826i
$557$	20.2182	+	14.6894i	0.856674	+	0.622410i	0.926978	−	0.375116i	$-0.122397\pi$
$557$	20.2182	+	14.6894i	0.856674	+	0.622410i	−0.0703041	+	0.997526i	$0.522397\pi$
$558$	−18.0378	+	13.1052i	−0.763599	+	0.554787i
$559$	0.130196	−	0.400702i	0.00550670	−	0.0169479i
$560$	4.34382			0.183560
$561$	−26.5303	−	9.49941i	−1.12011	−	0.401065i
$562$	54.8565			2.31398
$563$	2.78426	−	8.56907i	0.117343	−	0.361143i	−0.875086	−	0.483968i	$-0.839195\pi$
$563$	2.78426	−	8.56907i	0.117343	−	0.361143i	0.992428	+	0.122824i	$0.0391952\pi$
$564$	−42.5008	+	30.8787i	−1.78961	+	1.30023i
$565$	−4.62798	−	3.36243i	−0.194701	−	0.141458i
$566$	6.37460	+	19.6190i	0.267944	+	0.824648i
$567$	−1.63207	−	5.02300i	−0.0685406	−	0.210946i
$568$	−0.437275	−	0.317699i	−0.0183476	−	0.0133303i
$569$	−23.6021	+	17.1480i	−0.989453	+	0.718880i	−0.959801	−	0.280681i	$-0.909440\pi$
$569$	−23.6021	+	17.1480i	−0.989453	+	0.718880i	−0.0296519	+	0.999560i	$0.509440\pi$
$570$	−3.88045	+	11.9428i	−0.162534	+	0.500229i
$571$	1.78994			0.0749067			0.0374533	−	0.999298i	$-0.488075\pi$
$571$	1.78994			0.0749067			0.0374533	+	0.999298i	$0.488075\pi$
$572$	25.1864	−	32.5870i	1.05310	−	1.36253i
$573$	−12.6645			−0.529065
$574$	0.236194	−	0.726930i	0.00985854	−	0.0303415i
$575$	18.6906	−	13.5795i	0.779452	−	0.566305i
$576$	−6.90203	−	5.01462i	−0.287585	−	0.208943i
$577$	−6.67012	−	20.5285i	−0.277681	−	0.854614i	−0.988498	−	0.151236i	$-0.951675\pi$
$577$	−6.67012	−	20.5285i	−0.277681	−	0.854614i	0.710817	−	0.703377i	$-0.248325\pi$
$578$	−13.5910	−	41.8287i	−0.565309	−	1.73984i
$579$	−29.7062	−	21.5828i	−1.23455	−	0.896952i
$580$	−17.8850	+	12.9942i	−0.742633	+	0.539554i
$581$	0.293731	−	0.904010i	0.0121860	−	0.0375046i
$582$	−61.2694			−2.53970
$583$	0.428285	−	14.4273i	0.0177378	−	0.597519i
$584$	−2.85074			−0.117965
$585$	1.16577	−	3.58787i	0.0481987	−	0.148340i
$586$	48.4217	−	35.1805i	2.00028	−	1.45329i
$587$	−4.46865	−	3.24666i	−0.184441	−	0.134004i	0.491734	−	0.870746i	$-0.336363\pi$
$587$	−4.46865	−	3.24666i	−0.184441	−	0.134004i	−0.676174	+	0.736742i	$0.736363\pi$
$588$	1.73160	+	5.32933i	0.0714101	+	0.219778i
$589$	8.60373	+	26.4796i	0.354511	+	1.09107i
$590$	−17.1922	−	12.4909i	−0.707792	−	0.514241i
$591$	12.9926	−	9.43971i	0.534446	−	0.388298i
$592$	−5.81764	+	17.9049i	−0.239104	+	0.735886i
$593$	−40.7867			−1.67491			−0.837454	−	0.546508i	$-0.815957\pi$
$593$	−40.7867			−1.67491			−0.837454	+	0.546508i	$0.815957\pi$
$594$	43.7534	−	12.7941i	1.79522	−	0.524948i
$595$	7.45636			0.305681
$596$	−5.88254	+	18.1046i	−0.240958	+	0.741593i
$597$	14.2140	−	10.3271i	0.581739	−	0.422658i
$598$	−42.2676	−	30.7092i	−1.72845	−	1.25579i
$599$	−8.19356	−	25.2172i	−0.334780	−	1.03035i	−0.966830	−	0.255419i	$-0.917787\pi$
$599$	−8.19356	−	25.2172i	−0.334780	−	1.03035i	0.632051	−	0.774927i	$-0.282213\pi$
$600$	7.01702	+	21.5962i	0.286469	+	0.881660i
$601$	30.5565	+	22.2006i	1.24643	+	0.905581i	0.998009	−	0.0630720i	$-0.0200898\pi$
$601$	30.5565	+	22.2006i	1.24643	+	0.905581i	0.248417	+	0.968653i	$0.420090\pi$
$602$	−0.260654	+	0.189376i	−0.0106235	+	0.00771839i
$603$	2.74513	−	8.44864i	0.111790	−	0.344055i
$604$	−66.3186			−2.69847
$605$	10.6983	+	8.78794i	0.434949	+	0.357281i
$606$	43.4890			1.76662
$607$	−8.56730	+	26.3674i	−0.347736	+	1.07022i	0.612367	+	0.790574i	$0.290218\pi$
$607$	−8.56730	+	26.3674i	−0.347736	+	1.07022i	−0.960103	+	0.279647i	$0.909782\pi$
$608$	−2.04277	+	1.48416i	−0.0828452	+	0.0601906i
$609$	−5.21611	−	3.78972i	−0.211367	−	0.153567i
$610$	2.31801	+	7.13411i	0.0938536	+	0.288852i
$611$	−9.20772	−	28.3385i	−0.372505	−	1.14645i
$612$	17.6594	+	12.8303i	0.713840	+	0.518635i
$613$	−29.3078	+	21.2934i	−1.18373	+	0.860031i	−0.992588	−	0.121531i	$-0.961220\pi$
$613$	−29.3078	+	21.2934i	−1.18373	+	0.860031i	−0.191144	+	0.981562i	$0.561220\pi$
$614$	−3.45026	+	10.6188i	−0.139241	+	0.428540i
$615$	−0.567687			−0.0228914
$616$	−14.7551	+	4.31458i	−0.594498	+	0.173839i
$617$	41.1920			1.65833			0.829163	−	0.559007i	$-0.188817\pi$
$617$	41.1920			1.65833			0.829163	+	0.559007i	$0.188817\pi$
$618$	−8.85215	+	27.2441i	−0.356086	+	1.09592i
$619$	28.9139	−	21.0072i	1.16215	−	0.844349i	0.172099	−	0.985080i	$-0.444945\pi$
$619$	28.9139	−	21.0072i	1.16215	−	0.844349i	0.990048	+	0.140730i	$0.0449450\pi$
$620$	−38.7001	−	28.1173i	−1.55423	−	1.12922i
$621$	−11.8193	−	36.3762i	−0.474294	−	1.45973i
$622$	1.66037	+	5.11010i	0.0665749	+	0.204897i
$623$	−8.13480	−	5.91028i	−0.325914	−	0.236790i
$624$	12.7274	−	9.24698i	0.509503	−	0.370176i
$625$	1.15796	−	3.56385i	0.0463186	−	0.142554i
$626$	23.5736			0.942192
$627$	0.403986	−	13.6088i	0.0161336	−	0.543482i
$628$	8.77077			0.349992
$629$	−9.98623	+	30.7345i	−0.398177	+	1.22546i
$630$	−2.33388	+	1.69567i	−0.0929841	+	0.0675569i
$631$	−2.23700	−	1.62527i	−0.0890534	−	0.0647011i	0.542368	−	0.840141i	$-0.317528\pi$
$631$	−2.23700	−	1.62527i	−0.0890534	−	0.0647011i	−0.631421	+	0.775440i	$0.717528\pi$
$632$	−12.2167	−	37.5993i	−0.485956	−	1.49562i
$633$	−6.32154	−	19.4557i	−0.251259	−	0.773295i
$634$	12.6931	+	9.22207i	0.504107	+	0.366255i
$635$	8.17433	−	5.93900i	0.324388	−	0.235682i
$636$	7.53581	−	23.1928i	0.298814	−	0.919655i
$637$	−3.17831			−0.125929
$638$	22.1605	−	28.6720i	0.877344	−	1.13514i
$639$	0.109970			0.00435033
$640$	7.86545	−	24.2074i	0.310909	−	0.956880i
$641$	−31.1362	+	22.6218i	−1.22981	+	0.893506i	−0.996876	−	0.0789878i	$-0.974831\pi$
$641$	−31.1362	+	22.6218i	−1.22981	+	0.893506i	−0.232930	+	0.972494i	$0.574831\pi$
$642$	34.3722	+	24.9729i	1.35656	+	0.985601i
$643$	−8.15130	−	25.0871i	−0.321456	−	0.989339i	−0.973015	−	0.230741i	$-0.925885\pi$
$643$	−8.15130	−	25.0871i	−0.321456	−	0.989339i	0.651559	−	0.758598i	$-0.274115\pi$
$644$	8.16590	+	25.1320i	0.321781	+	0.990341i
$645$	0.193592	+	0.140653i	0.00762267	+	0.00553819i
$646$	33.3408	−	24.2235i	1.31178	−	0.953061i
$647$	−8.44268	+	25.9839i	−0.331916	+	1.02153i	0.636305	+	0.771437i	$0.280462\pi$
$647$	−8.44268	+	25.9839i	−0.331916	+	1.02153i	−0.968221	+	0.250095i	$0.919538\pi$
$648$	24.4803			0.961678
$649$	21.6915	+	7.76685i	0.851467	+	0.304875i
$650$	−26.3865			−1.03496
$651$	4.31118	−	13.2684i	0.168968	−	0.520031i
$652$	50.0601	−	36.3708i	1.96051	−	1.42439i
$653$	6.84562	+	4.97364i	0.267890	+	0.194633i	0.713618	−	0.700535i	$-0.247055\pi$
$653$	6.84562	+	4.97364i	0.267890	+	0.194633i	−0.445728	+	0.895168i	$0.647055\pi$
$654$	−0.954460	−	2.93753i	−0.0373224	−	0.114866i
$655$	0.0394620	+	0.121451i	0.00154191	+	0.00474550i
$656$	0.878073	+	0.637957i	0.0342830	+	0.0249080i
$657$	0.469236	−	0.340920i	0.0183066	−	0.0133005i
$658$	−7.04114	+	21.6704i	−0.274492	+	0.844800i
$659$	−5.29247			−0.206165			−0.103083	−	0.994673i	$-0.532871\pi$
$659$	−5.29247			−0.206165			−0.103083	+	0.994673i	$0.532871\pi$
$660$	13.1817	+	19.3239i	0.513096	+	0.752181i
$661$	−19.2700			−0.749517			−0.374759	−	0.927122i	$-0.622274\pi$
$661$	−19.2700			−0.749517			−0.374759	+	0.927122i	$0.622274\pi$
$662$	−2.71938	+	8.36938i	−0.105692	+	0.325285i
$663$	21.8471	−	15.8728i	0.848471	−	0.616450i
$664$	3.56439	+	2.58968i	0.138325	+	0.100499i
$665$	1.11323	+	3.42616i	0.0431691	+	0.132861i
$666$	−3.86364	−	11.8911i	−0.149713	−	0.460769i
$667$	−24.5981	−	17.8716i	−0.952443	−	0.691990i
$668$	−65.5622	+	47.6337i	−2.53668	+	1.84300i
$669$	−1.31363	+	4.04293i	−0.0507878	+	0.156309i
$670$	28.8158			1.11325
$671$	−4.58304	−	6.71858i	−0.176926	−	0.259368i
$672$	1.26523			0.0488074
$673$	−5.86892	+	18.0627i	−0.226230	+	0.696265i	0.771934	+	0.635702i	$0.219289\pi$
$673$	−5.86892	+	18.0627i	−0.226230	+	0.696265i	−0.998164	+	0.0605625i	$0.980711\pi$
$674$	−12.5942	+	9.15022i	−0.485110	+	0.352453i
$675$	−15.6279	−	11.3543i	−0.601518	−	0.437028i
$676$	−3.49935	−	10.7699i	−0.134590	−	0.414227i
$677$	10.0189	+	30.8350i	0.385058	+	1.18509i	0.936438	+	0.350833i	$0.114101\pi$
$677$	10.0189	+	30.8350i	0.385058	+	1.18509i	−0.551380	+	0.834254i	$0.685899\pi$
$678$	12.8172	+	9.31222i	0.492240	+	0.357633i
$679$	−14.2201	+	10.3315i	−0.545717	+	0.396487i
$680$	−10.6800	+	32.8695i	−0.409558	+	1.26049i
$681$	11.8409			0.453744
$682$	73.8229	+	26.4330i	2.82682	+	1.01217i
$683$	15.1260			0.578779			0.289389	−	0.957211i	$-0.406548\pi$
$683$	15.1260			0.578779			0.289389	+	0.957211i	$0.406548\pi$
$684$	−3.25893	+	10.0300i	−0.124608	+	0.383505i
$685$	4.64740	−	3.37654i	0.177568	−	0.129011i
$686$	1.96628	+	1.42858i	0.0750728	+	0.0545436i
$687$	5.80944	+	17.8796i	0.221644	+	0.682150i
$688$	−0.141376	−	0.435110i	−0.00538990	−	0.0165884i
$689$	11.1901	+	8.13010i	0.426310	+	0.309732i
$690$	24.0061	−	17.4415i	0.913897	−	0.663985i
$691$	−9.70646	+	29.8734i	−0.369251	+	1.13644i	0.578025	+	0.816019i	$0.303824\pi$
$691$	−9.70646	+	29.8734i	−0.369251	+	1.13644i	−0.947276	+	0.320419i	$0.896176\pi$
$692$	−84.2192			−3.20153
$693$	1.91272	−	2.47474i	0.0726582	−	0.0940075i
$694$	42.4357			1.61084
$695$	−1.48782	+	4.57903i	−0.0564361	+	0.173692i
$696$	24.1773	−	17.5658i	0.916437	−	0.665830i
$697$	1.50725	+	1.09508i	0.0570911	+	0.0414791i
$698$	16.2414	+	49.9859i	0.614746	+	1.89199i
$699$	−5.68515	−	17.4971i	−0.215032	−	0.661801i
$700$	10.7972	+	7.84462i	0.408095	+	0.296499i
$701$	12.9966	−	9.44259i	0.490875	−	0.356642i	−0.314646	−	0.949209i	$-0.601886\pi$
$701$	12.9966	−	9.44259i	0.490875	−	0.356642i	0.805521	+	0.592568i	$0.201886\pi$
$702$	−13.4993	+	41.5464i	−0.509497	+	1.56807i
$703$	−15.6133			−0.588865
$704$	−0.890298	+	29.9908i	−0.0335544	+	1.13032i
$705$	16.9232			0.637366
$706$	−3.30575	+	10.1741i	−0.124414	+	0.382906i
$707$	10.0934	−	7.33330i	0.379602	−	0.275797i
$708$	31.4928	+	22.8809i	1.18357	+	0.859916i
$709$	12.2673	+	37.7548i	0.460708	+	1.41791i	0.864301	+	0.502974i	$0.167761\pi$
$709$	12.2673	+	37.7548i	0.460708	+	1.41791i	−0.403594	+	0.914938i	$0.632239\pi$
$710$	0.110231	+	0.339257i	0.00413690	+	0.0127321i
$711$	6.50738	+	4.72789i	0.244046	+	0.177310i
$712$	37.7057	−	27.3948i	1.41308	−	1.02666i
$713$	20.3306	−	62.5713i	0.761389	−	2.34331i
$714$	−20.6503			−0.772819
$715$	−12.7343	+	3.72368i	−0.476236	+	0.139258i
$716$	18.6822			0.698187
$717$	−2.20759	+	6.79426i	−0.0824439	+	0.253736i
$718$	−21.0033	+	15.2598i	−0.783834	+	0.569489i
$719$	7.97885	+	5.79698i	0.297561	+	0.216191i	0.726541	−	0.687123i	$-0.241127\pi$
$719$	7.97885	+	5.79698i	0.297561	+	0.216191i	−0.428980	+	0.903314i	$0.641127\pi$
$720$	−1.26587	−	3.89596i	−0.0471763	−	0.145194i
$721$	2.53951	+	7.81581i	0.0945763	+	0.291076i
$722$	−21.2510	−	15.4397i	−0.790879	−	0.574607i
$723$	3.04793	−	2.21445i	0.113354	−	0.0823564i
$724$	−9.48121	+	29.1802i	−0.352366	+	1.08447i
$725$	−15.3559			−0.570305
$726$	−29.6290	−	24.3381i	−1.09963	−	0.903273i
$727$	−31.5764			−1.17111			−0.585553	−	0.810634i	$-0.699122\pi$
$727$	−31.5764			−1.17111			−0.585553	+	0.810634i	$0.699122\pi$
$728$	4.55239	−	14.0108i	0.168723	−	0.519275i
$729$	−23.7145	+	17.2296i	−0.878313	+	0.638132i
$730$	1.52209	+	1.10586i	0.0563351	+	0.0409299i
$731$	−0.242678	−	0.746885i	−0.00897576	−	0.0276245i
$732$	−4.24616	−	13.0683i	−0.156943	−	0.483019i
$733$	−33.4064	−	24.2712i	−1.23389	−	0.896476i	−0.236717	−	0.971579i	$-0.576072\pi$
$733$	−33.4064	−	24.2712i	−1.23389	−	0.896476i	−0.997176	+	0.0751027i	$0.976072\pi$
$734$	20.0889	−	14.5955i	0.741496	−	0.538729i
$735$	0.557818	−	1.71679i	0.0205754	−	0.0633246i
$736$	5.96659			0.219931
$737$	−29.9865	+	8.76845i	−1.10457	+	0.322990i
$738$	−0.720812			−0.0265335
$739$	10.9422	−	33.6765i	0.402514	−	1.23881i	−0.520440	−	0.853898i	$-0.674232\pi$
$739$	10.9422	−	33.6765i	0.402514	−	1.23881i	0.922954	−	0.384911i	$-0.125768\pi$
$740$	21.7021	−	15.7675i	0.797785	−	0.579625i
$741$	10.5552	+	7.66883i	0.387756	+	0.281722i
$742$	−3.26852	−	10.0595i	−0.119991	−	0.369294i
$743$	−1.24351	−	3.82713i	−0.0456200	−	0.140404i	0.925652	−	0.378376i	$-0.123517\pi$
$743$	−1.24351	−	3.82713i	−0.0456200	−	0.140404i	−0.971272	+	0.237972i	$0.923517\pi$
$744$	52.3156	+	38.0095i	1.91798	+	1.39350i
$745$	4.96117	−	3.60450i	0.181763	−	0.132059i
$746$	20.9431	−	64.4562i	0.766781	−	2.35991i
$747$	−0.896402			−0.0327976
$748$	2.27790	−	76.7340i	0.0832882	−	2.80567i
$749$	12.1885			0.445359
$750$	11.4098	−	35.1157i	0.416626	−	1.28224i
$751$	−19.7554	+	14.3531i	−0.720884	+	0.523753i	−0.886666	−	0.462410i	$-0.846985\pi$
$751$	−19.7554	+	14.3531i	−0.720884	+	0.523753i	0.165783	+	0.986162i	$0.446985\pi$
$752$	−26.1761	−	19.0181i	−0.954544	−	0.693517i
$753$	−11.6218	−	35.7683i	−0.423523	−	1.30347i
$754$	10.7311	+	33.0268i	0.390803	+	1.20277i
$755$	17.2837	+	12.5573i	0.629019	+	0.457009i
$756$	17.8754	−	12.9873i	0.650123	−	0.472342i
$757$	−0.407046	+	1.25276i	−0.0147943	+	0.0455323i	−0.958181	−	0.286162i	$-0.907620\pi$
$757$	−0.407046	+	1.25276i	−0.0147943	+	0.0455323i	0.943387	+	0.331695i	$0.107620\pi$
$758$	−2.79023			−0.101346
$759$	−19.6741	+	25.4549i	−0.714123	+	0.923956i
$760$	−16.6979			−0.605696
$761$	−2.23853	+	6.88949i	−0.0811467	+	0.249744i	−0.983397	−	0.181470i	$-0.941915\pi$
$761$	−2.23853	+	6.88949i	−0.0811467	+	0.249744i	0.902250	+	0.431214i	$0.141915\pi$
$762$	−22.6387	+	16.4480i	−0.820115	+	0.595848i
$763$	−0.716860	−	0.520829i	−0.0259521	−	0.0188553i
$764$	−10.6613	−	32.8122i	−0.385714	−	1.18710i
$765$	−2.17293	−	6.68758i	−0.0785623	−	0.241790i
$766$	−39.2304	−	28.5026i	−1.41745	−	1.02984i
$767$	−17.8625	+	12.9779i	−0.644977	+	0.468603i
$768$	−13.7645	+	42.3629i	−0.496685	+	1.52864i
$769$	44.3139			1.59800			0.798999	−	0.601332i	$-0.205363\pi$
$769$	44.3139			1.59800			0.798999	+	0.601332i	$0.205363\pi$
$770$	9.55186	+	3.42013i	0.344225	+	0.123253i
$771$	42.9570			1.54706
$772$	30.9112	−	95.1348i	1.11252	−	3.42397i
$773$	−15.4166	+	11.2008i	−0.554496	+	0.402865i	−0.829440	−	0.558595i	$-0.811341\pi$
$773$	−15.4166	+	11.2008i	−0.554496	+	0.402865i	0.274944	+	0.961460i	$0.411341\pi$
$774$	0.245810	+	0.178591i	0.00883546	+	0.00641934i
$775$	−10.2679	−	31.6014i	−0.368835	−	1.13516i
$776$	−25.1761	−	77.4839i	−0.903768	−	2.78151i
$777$	6.32937	+	4.59856i	0.227065	+	0.164972i
$778$	5.11232	−	3.71432i	0.183286	−	0.133165i
$779$	−0.278153	+	0.856068i	−0.00996587	+	0.0306718i
$780$	−22.4161			−0.802626
$781$	−0.217943	−	0.319497i	−0.00779861	−	0.0114325i
$782$	−97.3828			−3.48240
$783$	−7.85604	+	24.1784i	−0.280752	+	0.864066i
$784$	−2.79210	+	2.02858i	−0.0997179	+	0.0724493i
$785$	−2.28581	−	1.66074i	−0.0815840	−	0.0592742i
$786$	−0.109290	−	0.336359i	−0.00389823	−	0.0119975i
$787$	9.72168	+	29.9203i	0.346540	+	1.06654i	0.960754	+	0.277402i	$0.0894734\pi$
$787$	9.72168	+	29.9203i	0.346540	+	1.06654i	−0.614213	+	0.789140i	$0.710527\pi$
$788$	35.3949	+	25.7159i	1.26089	+	0.916090i
$789$	−3.87201	+	2.81318i	−0.137847	+	0.100152i
$790$	−8.06270	+	24.8144i	−0.286858	+	0.882858i
$791$	4.54502			0.161602
$792$	8.16964	+	11.9764i	0.290295	+	0.425563i
$793$	7.79370			0.276763
$794$	−6.58850	+	20.2773i	−0.233817	+	0.719615i
$795$	−6.35549	+	4.61753i	−0.225406	+	0.163767i
$796$	38.7220	+	28.1332i	1.37247	+	0.997155i
$797$	−3.87670	−	11.9313i	−0.137320	−	0.422627i	0.858624	−	0.512606i	$-0.171320\pi$
$797$	−3.87670	−	11.9313i	−0.137320	−	0.422627i	−0.995944	+	0.0899793i	$0.971320\pi$
$798$	−3.08307	−	9.48872i	−0.109140	−	0.335897i
$799$	−44.9324	−	32.6453i	−1.58959	−	1.15491i
$800$	2.43790	−	1.77123i	0.0861926	−	0.0626226i
$801$	−2.93027	+	9.01844i	−0.103536	+	0.318651i
$802$	−68.9118			−2.43336
$803$	−1.92043	−	0.687629i	−0.0677707	−	0.0242659i
$804$	−52.7850			−1.86159
$805$	2.63056	−	8.09602i	0.0927150	−	0.285347i
$806$	−60.7915	+	44.1676i	−2.14129	+	1.55574i
$807$	2.01406	+	1.46330i	0.0708982	+	0.0515106i
$808$	17.8700	+	54.9981i	0.628663	+	1.93482i
$809$	−1.66259	−	5.11691i	−0.0584534	−	0.179901i	0.917567	−	0.397582i	$-0.130151\pi$
$809$	−1.66259	−	5.11691i	−0.0584534	−	0.179901i	−0.976020	+	0.217681i	$0.930151\pi$
$810$	−13.0707	−	9.49645i	−0.459259	−	0.333671i
$811$	−11.0835	+	8.05262i	−0.389194	+	0.282766i	−0.765125	−	0.643882i	$-0.777323\pi$
$811$	−11.0835	+	8.05262i	−0.389194	+	0.282766i	0.375931	+	0.926647i	$0.377323\pi$
$812$	5.42768	−	16.7047i	0.190474	−	0.586219i
$813$	−3.55103			−0.124540
$814$	−26.8902	+	34.7914i	−0.942501	+	1.21944i
$815$	−19.9333			−0.698231
$816$	9.06141	−	27.8882i	0.317213	−	0.976281i
$817$	0.306958	−	0.223018i	0.0107391	−	0.00780242i
$818$	39.1398	+	28.4367i	1.36849	+	0.994266i
$819$	0.926221	+	2.85061i	0.0323648	+	0.0996085i
$820$	−0.477897	−	1.47082i	−0.0166889	−	0.0513631i
$821$	7.46816	+	5.42594i	0.260641	+	0.189367i	0.710429	−	0.703768i	$-0.248501\pi$
$821$	7.46816	+	5.42594i	0.260641	+	0.189367i	−0.449789	+	0.893135i	$0.648501\pi$
$822$	−12.8710	+	9.35129i	−0.448926	+	0.326164i
$823$	−3.84500	+	11.8337i	−0.134028	+	0.412496i	−0.995438	−	0.0954150i	$-0.969582\pi$
$823$	−3.84500	+	11.8337i	−0.134028	+	0.412496i	0.861409	+	0.507911i	$0.169582\pi$
$824$	−38.0915			−1.32698
$825$	−0.482127	+	16.2411i	−0.0167855	+	0.565442i
$826$	16.8840			0.587469
$827$	−1.38559	+	4.26441i	−0.0481817	+	0.148288i	−0.972253	−	0.233932i	$-0.924841\pi$
$827$	−1.38559	+	4.26441i	−0.0481817	+	0.148288i	0.924071	+	0.382221i	$0.124841\pi$
$828$	20.1611	−	14.6479i	0.700648	−	0.509051i
$829$	29.8346	+	21.6761i	1.03620	+	0.752842i	0.969540	−	0.244934i	$-0.0787664\pi$
$829$	29.8346	+	21.6761i	1.03620	+	0.752842i	0.0666578	+	0.997776i	$0.478766\pi$
$830$	−0.898534	−	2.76540i	−0.0311886	−	0.0959886i
$831$	2.28498	+	7.03244i	0.0792650	+	0.243953i
$832$	−23.2615	−	16.9005i	−0.806447	−	0.585918i
$833$	−4.79276	+	3.48215i	−0.166059	+	0.120649i
$834$	4.12050	−	12.6816i	0.142681	−	0.439127i
$835$	26.1060			0.903435
$836$	35.5990	−	10.4096i	1.23122	−	0.360024i
$837$	−55.0105			−1.90144
$838$	23.2042	−	71.4153i	0.801577	−	2.46700i
$839$	−7.41389	+	5.38651i	−0.255956	+	0.185963i	−0.708362	−	0.705849i	$-0.750566\pi$
$839$	−7.41389	+	5.38651i	−0.255956	+	0.185963i	0.452406	+	0.891812i	$0.350566\pi$
$840$	6.76906	+	4.91801i	0.233555	+	0.169687i
$841$	−2.71643	−	8.36030i	−0.0936699	−	0.288286i
$842$	18.1703	+	55.9224i	0.626189	+	1.92721i
$843$	26.1885	+	19.0271i	0.901980	+	0.655326i
$844$	45.0859	−	32.7569i	1.55192	−	1.12754i
$845$	−1.12728	+	3.46941i	−0.0387796	+	0.119351i
$846$	21.4880			0.738774
$847$	−10.9806	−	0.652509i	−0.377299	−	0.0224205i
$848$	15.0195			0.515771
$849$	−3.76164	+	11.5771i	−0.129099	+	0.397326i
$850$	−39.7898	+	28.9090i	−1.36478	+	0.991570i
$851$	29.8480	+	21.6859i	1.02318	+	0.743382i
$852$	−0.201923	−	0.621454i	−0.00691775	−	0.0212907i
$853$	2.01494	+	6.20135i	0.0689903	+	0.212330i	0.979608	−	0.200921i	$-0.0643933\pi$
$853$	2.01494	+	6.20135i	0.0689903	+	0.212330i	−0.910617	+	0.413251i	$0.864393\pi$
$854$	−4.82162	−	3.50311i	−0.164992	−	0.119874i
$855$	2.74849	−	1.99690i	0.0939965	−	0.0682924i
$856$	−17.4580	+	53.7301i	−0.596701	+	1.83646i
$857$	48.0736			1.64216			0.821082	−	0.570810i	$-0.193371\pi$
$857$	48.0736			1.64216			0.821082	+	0.570810i	$0.193371\pi$
$858$	35.2675	−	10.3127i	1.20401	−	0.352070i
$859$	−0.316298			−0.0107920			−0.00539598	−	0.999985i	$-0.501718\pi$
$859$	−0.316298			−0.0107920			−0.00539598	+	0.999985i	$0.501718\pi$
$860$	−0.201444	+	0.619981i	−0.00686918	+	0.0211412i
$861$	0.364895	−	0.265112i	0.0124356	−	0.00903499i
$862$	38.1459	+	27.7146i	1.29925	+	0.943963i
$863$	1.12078	+	3.44942i	0.0381519	+	0.117419i	0.968319	−	0.249718i	$-0.0803379\pi$
$863$	1.12078	+	3.44942i	0.0381519	+	0.117419i	−0.930167	+	0.367137i	$0.880338\pi$
$864$	−1.54165	−	4.74471i	−0.0524480	−	0.161418i
$865$	21.9489	+	15.9468i	0.746285	+	0.542207i
$866$	−42.0542	+	30.5542i	−1.42906	+	1.03827i
$867$	8.02000	−	24.6830i	0.272374	−	0.838280i
$868$	38.0064			1.29002
$869$	0.839391	−	28.2760i	0.0284744	−	0.959197i
$870$	−19.7231			−0.668675
$871$	9.25174	−	28.4739i	0.313483	−	0.964802i
$872$	3.32273	−	2.41410i	0.112522	−	0.0817519i
$873$	13.4103	+	9.74315i	0.453870	+	0.329756i
$874$	−14.5392	−	44.7469i	−0.491794	−	1.51359i
$875$	−3.27325	−	10.0740i	−0.110656	−	0.340564i
$876$	−2.78818	−	2.02573i	−0.0942039	−	0.0684432i
$877$	−21.6069	+	15.6983i	−0.729614	+	0.530095i	−0.889441	−	0.457050i	$-0.848906\pi$
$877$	−21.6069	+	15.6983i	−0.729614	+	0.530095i	0.159828	+	0.987145i	$0.448906\pi$
$878$	23.8320	−	73.3474i	0.804291	−	2.47535i
$879$	35.3189			1.19128
$880$	−8.81024	+	11.3990i	−0.296993	+	0.384259i
$881$	2.91937			0.0983560			0.0491780	−	0.998790i	$-0.484340\pi$
$881$	2.91937			0.0983560			0.0491780	+	0.998790i	$0.484340\pi$
$882$	0.708281	−	2.17986i	0.0238491	−	0.0733998i
$883$	36.5331	−	26.5429i	1.22944	−	0.893238i	0.232589	−	0.972575i	$-0.425280\pi$
$883$	36.5331	−	26.5429i	1.22944	−	0.893238i	0.996848	+	0.0793369i	$0.0252803\pi$
$884$	59.5164	+	43.2412i	2.00175	+	1.45436i
$885$	−3.87508	−	11.9263i	−0.130259	−	0.400897i
$886$	1.25133	+	3.85120i	0.0420392	+	0.129383i
$887$	19.4365	+	14.1215i	0.652614	+	0.474152i	0.864161	−	0.503216i	$-0.167850\pi$
$887$	19.4365	+	14.1215i	0.652614	+	0.474152i	−0.211546	+	0.977368i	$0.567850\pi$
$888$	−29.3373	+	21.3148i	−0.984497	+	0.715279i
$889$	−2.48072	+	7.63488i	−0.0832008	+	0.256066i
$890$	−30.7592			−1.03105
$891$	16.4915	+	5.90491i	0.552484	+	0.197822i
$892$	−11.5806			−0.387749
$893$	8.29199	−	25.5201i	0.277481	−	0.853998i
$894$	−13.7399	+	9.98264i	−0.459532	+	0.333870i
$895$	−4.86889	−	3.53746i	−0.162749	−	0.118244i
$896$	6.24921	+	19.2331i	0.208772	+	0.642533i
$897$	−9.52702	−	29.3212i	−0.318098	−	0.979005i
$898$	−33.7920	−	24.5513i	−1.12765	−	0.819289i
$899$	−35.3783	+	25.7038i	−1.17993	+	0.857271i
$900$	3.88930	−	11.9700i	0.129643	−	0.399001i
$901$	25.7816			0.858909
$902$	1.42854	+	2.09419i	0.0475652	+	0.0697289i
$903$	−0.190121			−0.00632684
$904$	−6.50996	+	20.0356i	−0.216518	+	0.666374i
$905$	7.99619	−	5.80957i	0.265802	−	0.193117i
$906$	−47.8671	−	34.7775i	−1.59028	−	1.15540i
$907$	−4.95260	−	15.2425i	−0.164448	−	0.506120i	0.834547	−	0.550937i	$-0.185730\pi$
$907$	−4.95260	−	15.2425i	−0.164448	−	0.506120i	−0.998995	+	0.0448168i	$0.985730\pi$
$908$	9.96803	+	30.6784i	0.330801	+	1.01810i
$909$	−9.51862	−	6.91568i	−0.315713	−	0.229379i
$910$	−7.86574	+	5.71479i	−0.260747	+	0.189444i
$911$	−5.06922	+	15.6014i	−0.167951	+	0.516899i	−0.999242	−	0.0389385i	$-0.987602\pi$
$911$	−5.06922	+	15.6014i	−0.167951	+	0.516899i	0.831291	+	0.555838i	$0.187602\pi$
$912$	14.1673			0.469127
$913$	1.77653	+	2.60433i	0.0587946	+	0.0861909i
$914$	−24.8408			−0.821660
$915$	−1.36786	+	4.20983i	−0.0452199	+	0.139173i
$916$	−41.4336	+	30.1032i	−1.36900	+	0.994639i
$917$	−0.0820834	−	0.0596371i	−0.00271063	−	0.00196939i
$918$	25.1618	+	77.4401i	0.830464	+	2.55590i
$919$	9.98747	+	30.7383i	0.329456	+	1.01396i	0.969389	+	0.245531i	$0.0789623\pi$
$919$	9.98747	+	30.7383i	0.329456	+	1.01396i	−0.639933	+	0.768431i	$0.721038\pi$
$920$	31.9215	+	23.1923i	1.05242	+	0.764629i
$921$	−5.33030	+	3.87269i	−0.175639	+	0.127609i
$922$	16.6102	−	51.1210i	0.547029	−	1.68358i
$923$	0.370623			0.0121992
$924$	−17.4972	−	6.26502i	−0.575615	−	0.206104i
$925$	18.6333			0.612659
$926$	22.8107	−	70.2042i	0.749607	−	2.30705i
$927$	6.26991	−	4.55535i	0.205931	−	0.149617i
$928$	−3.20844	−	2.33107i	−0.105322	−	0.0765211i
$929$	−2.53249	−	7.79420i	−0.0830883	−	0.255720i	0.900878	−	0.434071i	$-0.142923\pi$
$929$	−2.53249	−	7.79420i	−0.0830883	−	0.255720i	−0.983967	+	0.178352i	$0.942923\pi$
$930$	−13.1881	−	40.5887i	−0.432454	−	1.33096i
$931$	−2.31558	−	1.68237i	−0.0758902	−	0.0551374i
$932$	40.5471	−	29.4592i	1.32817	−	0.964969i
$933$	−0.979784	+	3.01546i	−0.0320767	+	0.0987219i
$934$	−61.2253			−2.00335
$935$	−15.1232	+	19.5668i	−0.494580	+	0.639903i
$936$	−13.8929			−0.454103
$937$	10.5490	−	32.4666i	0.344622	−	1.06064i	−0.617164	−	0.786835i	$-0.711718\pi$
$937$	10.5490	−	32.4666i	0.344622	−	1.06064i	0.961786	−	0.273803i	$-0.0882817\pi$
$938$	−18.5221	+	13.4571i	−0.604767	+	0.439389i
$939$	11.2541	+	8.17655i	0.367262	+	0.266831i
$940$	14.2465	+	43.8463i	0.464670	+	1.43011i
$941$	0.302642	+	0.931437i	0.00986585	+	0.0303640i	0.955868	−	0.293796i	$-0.0949185\pi$
$941$	0.302642	+	0.931437i	0.00986585	+	0.0303640i	−0.946002	+	0.324160i	$0.894919\pi$
$942$	6.33053	+	4.59940i	0.206260	+	0.149856i
$943$	1.72077	−	1.25022i	0.0560361	−	0.0407126i
$944$	−7.40874	+	22.8017i	−0.241134	+	0.742134i
$945$	−7.11775			−0.231540
$946$	0.0317072	−	1.06810i	0.00103089	−	0.0347269i
$947$	0.935599			0.0304029			0.0152014	−	0.999884i	$-0.495161\pi$
$947$	0.935599			0.0304029			0.0152014	+	0.999884i	$0.495161\pi$
$948$	14.7693	−	45.4553i	0.479686	−	1.47632i
$949$	1.58143	−	1.14898i	0.0513355	−	0.0372974i
$950$	−19.2241	−	13.9671i	−0.623712	−	0.453153i
$951$	2.86099	+	8.80523i	0.0927740	+	0.285529i
$952$	−8.48538	−	26.1153i	−0.275013	−	0.846402i
$953$	−13.5365	−	9.83486i	−0.438491	−	0.318582i	0.346544	−	0.938034i	$-0.387355\pi$
$953$	−13.5365	−	9.83486i	−0.438491	−	0.318582i	−0.785035	+	0.619451i	$0.787355\pi$
$954$	−8.06978	+	5.86304i	−0.261269	+	0.189823i
$955$	−3.43444	+	10.5701i	−0.111136	+	0.342041i
$956$	−19.4616			−0.629434
$957$	20.5243	−	6.00160i	0.663458	−	0.194004i
$958$	51.5353			1.66503
$959$	−1.41038	+	4.34071i	−0.0455436	+	0.140169i
$960$	13.2115	−	9.59870i	0.426399	−	0.309797i
$961$	−51.4733	−	37.3975i	−1.66043	−	1.20637i
$962$	−13.0214	−	40.0757i	−0.419826	−	1.29209i
$963$	−3.55197	−	10.9318i	−0.114461	−	0.352274i
$964$	8.30326	+	6.03267i	0.267430	+	0.194299i
$965$	−26.0696	+	18.9407i	−0.839210	+	0.609722i
$966$	−7.28531	+	22.4219i	−0.234401	+	0.721412i
$967$	36.4439			1.17196			0.585978	−	0.810327i	$-0.300710\pi$
$967$	36.4439			1.17196			0.585978	+	0.810327i	$0.300710\pi$
$968$	18.6043	−	47.4708i	0.597965	−	1.52577i
$969$	24.3188			0.781233
$970$	−16.6155	+	51.1372i	−0.533491	+	1.64192i
$971$	26.8931	−	19.5390i	0.863042	−	0.627036i	−0.0656691	−	0.997841i	$-0.520918\pi$
$971$	26.8931	−	19.5390i	0.863042	−	0.627036i	0.928711	+	0.370805i	$0.120918\pi$
$972$	−29.6832	−	21.5661i	−0.952088	−	0.691732i
$973$	−1.18209	−	3.63810i	−0.0378961	−	0.116632i
$974$	12.6325	+	38.8788i	0.404771	+	1.24576i
$975$	−12.5969	−	9.15219i	−0.403424	−	0.293105i
$976$	6.84667	−	4.97439i	0.219156	−	0.159226i
$977$	6.97347	−	21.4621i	0.223101	−	0.686634i	−0.775378	−	0.631498i	$-0.782441\pi$
$977$	6.97347	−	21.4621i	0.223101	−	0.686634i	0.998479	−	0.0551366i	$-0.0175594\pi$
$978$	55.2050			1.76526
$979$	32.0088	−	9.35981i	1.02301	−	0.299141i
$980$	4.91760			0.157087
$981$	−0.258223	+	0.794729i	−0.00824443	+	0.0253737i
$982$	9.51294	−	6.91155i	0.303570	−	0.220557i
$983$	12.2200	+	8.87836i	0.389758	+	0.283176i	0.765356	−	0.643607i	$-0.222563\pi$
$983$	12.2200	+	8.87836i	0.389758	+	0.283176i	−0.375598	+	0.926783i	$0.622563\pi$
$984$	0.646031	+	1.98828i	0.0205947	+	0.0633840i
$985$	−4.35521	−	13.4040i	−0.138769	−	0.427086i
$986$	52.3661	+	38.0462i	1.66768	+	1.21164i
$987$	−10.8778	+	7.90322i	−0.346246	+	0.251562i
$988$	−10.9834	+	33.8033i	−0.349428	+	1.07543i
$989$	−0.896574			−0.0285094
$990$	0.283905	−	9.56371i	0.00902310	−	0.303955i
$991$	−55.1534			−1.75201			−0.876003	−	0.482305i	$-0.839800\pi$
$991$	−55.1534			−1.75201			−0.876003	+	0.482305i	$0.839800\pi$
$992$	2.65181	−	8.16145i	0.0841952	−	0.259126i
$993$	−4.20116	+	3.05232i	−0.133320	+	0.0968624i
$994$	−0.229288	−	0.166587i	−0.00727257	−	0.00528383i
$995$	−4.76461	−	14.6639i	−0.151048	−	0.464878i
$996$	1.64594	+	5.06570i	0.0521537	+	0.160513i
$997$	−40.2120	−	29.2157i	−1.27353	−	0.925272i	−0.274190	−	0.961676i	$-0.588410\pi$
$997$	−40.2120	−	29.2157i	−1.27353	−	0.925272i	−0.999337	+	0.0364038i	$0.988410\pi$
$998$	60.1358	−	43.6912i	1.90356	−	1.38302i
$999$	9.53274	−	29.3387i	0.301602	−	0.928237i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	77.2.f.b.64.1	✓	16
3.2	odd	2		693.2.m.i.64.4		16
7.2	even	3		539.2.q.g.361.4		32
7.3	odd	6		539.2.q.f.471.1		32
7.4	even	3		539.2.q.g.471.1		32
7.5	odd	6		539.2.q.f.361.4		32
7.6	odd	2		539.2.f.e.295.1		16
11.2	odd	10		847.2.f.v.729.1		16
11.3	even	5		847.2.f.w.323.4		16
11.4	even	5		847.2.a.p.1.1		8
11.5	even	5	inner	77.2.f.b.71.1	yes	16
11.6	odd	10		847.2.f.x.148.4		16
11.7	odd	10		847.2.a.o.1.8		8
11.8	odd	10		847.2.f.v.323.1		16
11.9	even	5		847.2.f.w.729.4		16
11.10	odd	2		847.2.f.x.372.4		16
33.5	odd	10		693.2.m.i.379.4		16
33.26	odd	10		7623.2.a.ct.1.8		8
33.29	even	10		7623.2.a.cw.1.1		8
77.5	odd	30		539.2.q.f.214.1		32
77.16	even	15		539.2.q.g.214.1		32
77.27	odd	10		539.2.f.e.148.1		16
77.38	odd	30		539.2.q.f.324.4		32
77.48	odd	10		5929.2.a.bt.1.1		8
77.60	even	15		539.2.q.g.324.4		32
77.62	even	10		5929.2.a.bs.1.8		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.f.b.64.1	✓	16	1.1	even	1	trivial
77.2.f.b.71.1	yes	16	11.5	even	5	inner
539.2.f.e.148.1		16	77.27	odd	10
539.2.f.e.295.1		16	7.6	odd	2
539.2.q.f.214.1		32	77.5	odd	30
539.2.q.f.324.4		32	77.38	odd	30
539.2.q.f.361.4		32	7.5	odd	6
539.2.q.f.471.1		32	7.3	odd	6
539.2.q.g.214.1		32	77.16	even	15
539.2.q.g.324.4		32	77.60	even	15
539.2.q.g.361.4		32	7.2	even	3
539.2.q.g.471.1		32	7.4	even	3
693.2.m.i.64.4		16	3.2	odd	2
693.2.m.i.379.4		16	33.5	odd	10
847.2.a.o.1.8		8	11.7	odd	10
847.2.a.p.1.1		8	11.4	even	5
847.2.f.v.323.1		16	11.8	odd	10
847.2.f.v.729.1		16	11.2	odd	10
847.2.f.w.323.4		16	11.3	even	5
847.2.f.w.729.4		16	11.9	even	5
847.2.f.x.148.4		16	11.6	odd	10
847.2.f.x.372.4		16	11.10	odd	2
5929.2.a.bs.1.8		8	77.62	even	10
5929.2.a.bt.1.1		8	77.48	odd	10
7623.2.a.ct.1.8		8	33.26	odd	10
7623.2.a.cw.1.1		8	33.29	even	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:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	77.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.751051 + 2.31150i) q^{2} +(-1.16030 + 0.843005i) q^{3} +(-3.16091 - 2.29654i) q^{4} +(0.388938 + 1.19703i) q^{5} +(-1.07716 - 3.31516i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(3.74989 - 2.72445i) q^{8} +(-0.291419 + 0.896896i) q^{9} +O(q^{10})\)	\(q+(-0.751051 + 2.31150i) q^{2} +(-1.16030 + 0.843005i) q^{3} +(-3.16091 - 2.29654i) q^{4} +(0.388938 + 1.19703i) q^{5} +(-1.07716 - 3.31516i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(3.74989 - 2.72445i) q^{8} +(-0.291419 + 0.896896i) q^{9} -3.05904 q^{10} +(3.18332 - 0.930846i) q^{11} +5.60359 q^{12} +(-0.982152 + 3.02275i) q^{13} +(1.96628 - 1.42858i) q^{14} +(-1.46039 - 1.06103i) q^{15} +(1.06649 + 3.28231i) q^{16} +(1.83067 + 5.63423i) q^{17} +(-1.85430 - 1.34723i) q^{18} +(-2.31558 + 1.68237i) q^{19} +(1.51962 - 4.67691i) q^{20} +1.43421 q^{21} +(-0.239188 + 8.05735i) q^{22} +6.76343 q^{23} +(-2.05426 + 6.32235i) q^{24} +(2.76348 - 2.00778i) q^{25} +(-6.24944 - 4.54048i) q^{26} +(-1.74754 - 5.37837i) q^{27} +(1.20736 + 3.71587i) q^{28} +(-3.63693 - 2.64238i) q^{29} +(3.54940 - 2.57879i) q^{30} +(3.00597 - 9.25141i) q^{31} +0.882184 q^{32} +(-2.90889 + 3.76361i) q^{33} -14.3984 q^{34} +(0.388938 - 1.19703i) q^{35} +(2.98090 - 2.16575i) q^{36} +(4.41315 + 3.20634i) q^{37} +(-2.14967 - 6.61601i) q^{38} +(-1.40861 - 4.33525i) q^{39} +(4.71972 + 3.42908i) q^{40} +(0.254423 - 0.184849i) q^{41} +(-1.07716 + 3.31516i) q^{42} -0.132562 q^{43} +(-12.1999 - 4.36829i) q^{44} -1.18696 q^{45} +(-5.07968 + 15.6337i) q^{46} +(-7.58458 + 5.51052i) q^{47} +(-4.00445 - 2.90940i) q^{48} +(0.309017 + 0.951057i) q^{49} +(2.56548 + 7.89572i) q^{50} +(-6.87381 - 4.99412i) q^{51} +(10.0463 - 7.29910i) q^{52} +(1.34482 - 4.13893i) q^{53} +13.7446 q^{54} +(2.35237 + 3.44849i) q^{55} -4.63512 q^{56} +(1.26852 - 3.90410i) q^{57} +(8.83939 - 6.42219i) q^{58} +(5.62012 + 4.08326i) q^{59} +(2.17945 + 6.70766i) q^{60} +(-0.757757 - 2.33214i) q^{61} +(19.1270 + 13.8966i) q^{62} +(0.762946 - 0.554312i) q^{63} +(-2.79554 + 8.60379i) q^{64} -4.00032 q^{65} +(-6.51486 - 9.55056i) q^{66} -9.41987 q^{67} +(7.15262 - 22.0135i) q^{68} +(-7.84759 + 5.70161i) q^{69} +(2.47482 + 1.79806i) q^{70} +(-0.0360345 - 0.110903i) q^{71} +(1.35076 + 4.15722i) q^{72} +(-0.497571 - 0.361506i) q^{73} +(-10.7260 + 7.79286i) q^{74} +(-1.51388 + 4.65925i) q^{75} +11.1830 q^{76} +(-3.12250 - 1.11804i) q^{77} +11.0789 q^{78} +(2.63569 - 8.11183i) q^{79} +(-3.51423 + 2.55324i) q^{80} +(4.27282 + 3.10438i) q^{81} +(0.236194 + 0.726930i) q^{82} +(0.293731 + 0.904010i) q^{83} +(-4.53340 - 3.29371i) q^{84} +(-6.03232 + 4.38274i) q^{85} +(0.0995608 - 0.306417i) q^{86} +6.44746 q^{87} +(9.40104 - 12.1634i) q^{88} +10.0552 q^{89} +(0.891464 - 2.74364i) q^{90} +(2.57131 - 1.86816i) q^{91} +(-21.3786 - 15.5325i) q^{92} +(4.31118 + 13.2684i) q^{93} +(-7.04114 - 21.6704i) q^{94} +(-2.91446 - 2.11748i) q^{95} +(-1.02360 + 0.743685i) q^{96} +(5.43159 - 16.7167i) q^{97} -2.43045 q^{98} +(-0.0928085 + 3.12637i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9}+O(q^{10}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9} + 12 q^{10} - 3 q^{11} + 18 q^{12} - 7 q^{13} + 2 q^{14} - 18 q^{15} + 17 q^{16} - 5 q^{17} + 11 q^{18} + 19 q^{19} + q^{20} + 8 q^{21} - 33 q^{22} + 32 q^{23} - 35 q^{24} + 7 q^{25} - 27 q^{26} + 10 q^{27} + 4 q^{28} + 3 q^{29} - 2 q^{30} - 7 q^{31} + 32 q^{32} - 26 q^{33} - 24 q^{34} - 5 q^{35} + 52 q^{36} + 4 q^{37} - 5 q^{38} + 11 q^{39} - 10 q^{40} - 10 q^{41} + 3 q^{42} - 8 q^{43} - 38 q^{44} + 70 q^{45} - 42 q^{46} - 23 q^{47} - 36 q^{48} - 4 q^{49} + 52 q^{50} - 29 q^{51} + 33 q^{52} + 4 q^{53} + 60 q^{54} - 12 q^{55} - 11 q^{57} + 20 q^{58} + 17 q^{59} - 30 q^{60} - 7 q^{61} + 79 q^{62} - 2 q^{63} + 7 q^{64} - 8 q^{65} + 8 q^{66} - 38 q^{67} - 2 q^{68} + 10 q^{69} - 18 q^{70} - 14 q^{71} - 35 q^{73} - 29 q^{74} + 9 q^{75} + 52 q^{76} - 3 q^{77} - 58 q^{78} + 15 q^{79} - 87 q^{80} - 14 q^{81} + 19 q^{82} + 5 q^{83} + 8 q^{84} + 6 q^{85} - 52 q^{86} - 72 q^{87} + 55 q^{88} + 74 q^{89} - 14 q^{90} + 13 q^{91} - 55 q^{92} + 32 q^{93} - 24 q^{94} + 32 q^{95} - 42 q^{96} + 20 q^{97} + 2 q^{98} + 16 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9 + 12 * q^10 - 3 * q^11 + 18 * q^12 - 7 * q^13 + 2 * q^14 - 18 * q^15 + 17 * q^16 - 5 * q^17 + 11 * q^18 + 19 * q^19 + q^20 + 8 * q^21 - 33 * q^22 + 32 * q^23 - 35 * q^24 + 7 * q^25 - 27 * q^26 + 10 * q^27 + 4 * q^28 + 3 * q^29 - 2 * q^30 - 7 * q^31 + 32 * q^32 - 26 * q^33 - 24 * q^34 - 5 * q^35 + 52 * q^36 + 4 * q^37 - 5 * q^38 + 11 * q^39 - 10 * q^40 - 10 * q^41 + 3 * q^42 - 8 * q^43 - 38 * q^44 + 70 * q^45 - 42 * q^46 - 23 * q^47 - 36 * q^48 - 4 * q^49 + 52 * q^50 - 29 * q^51 + 33 * q^52 + 4 * q^53 + 60 * q^54 - 12 * q^55 - 11 * q^57 + 20 * q^58 + 17 * q^59 - 30 * q^60 - 7 * q^61 + 79 * q^62 - 2 * q^63 + 7 * q^64 - 8 * q^65 + 8 * q^66 - 38 * q^67 - 2 * q^68 + 10 * q^69 - 18 * q^70 - 14 * q^71 - 35 * q^73 - 29 * q^74 + 9 * q^75 + 52 * q^76 - 3 * q^77 - 58 * q^78 + 15 * q^79 - 87 * q^80 - 14 * q^81 + 19 * q^82 + 5 * q^83 + 8 * q^84 + 6 * q^85 - 52 * q^86 - 72 * q^87 + 55 * q^88 + 74 * q^89 - 14 * q^90 + 13 * q^91 - 55 * q^92 + 32 * q^93 - 24 * q^94 + 32 * q^95 - 42 * q^96 + 20 * q^97 + 2 * q^98 + 16 * q^99

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